id sid tid token lemma pos A34005 1 1 The the DT A34005 1 2 sector sector NN A34005 1 3 on on IN A34005 1 4 a a DT A34005 1 5 quadrant quadrant NN A34005 1 6 , , , A34005 1 7 or or CC A34005 1 8 A a DT A34005 1 9 treatise treatise NN A34005 1 10 containing contain VBG A34005 1 11 the the DT A34005 1 12 description description NN A34005 1 13 and and CC A34005 1 14 use use NN A34005 1 15 of of IN A34005 1 16 four four CD A34005 1 17 several several JJ A34005 1 18 quadrants quadrant NNS A34005 1 19 two two CD A34005 1 20 small small JJ A34005 1 21 ones one NNS A34005 1 22 and and CC A34005 1 23 two two CD A34005 1 24 great great JJ A34005 1 25 ones one NNS A34005 1 26 , , , A34005 1 27 each each DT A34005 1 28 rendred rendre VBD A34005 1 29 many many JJ A34005 1 30 wayes waye NNS A34005 1 31 , , , A34005 1 32 both both CC A34005 1 33 general general JJ A34005 1 34 and and CC A34005 1 35 particular particular JJ A34005 1 36 . . . A34005 2 1 Each each DT A34005 2 2 of of IN A34005 2 3 them -PRON- PRP A34005 2 4 accomodated accomodate VBD A34005 2 5 for for IN A34005 2 6 dyalling dyalle VBG A34005 2 7 ; ; : A34005 2 8 for for IN A34005 2 9 the the DT A34005 2 10 resolving resolving NN A34005 2 11 of of IN A34005 2 12 all all DT A34005 2 13 proportions proportion NNS A34005 2 14 instrumentally instrumentally RB A34005 2 15 ; ; : A34005 2 16 and and CC A34005 2 17 for for IN A34005 2 18 the the DT A34005 2 19 ready ready JJ A34005 2 20 finding find VBG A34005 2 21 the the DT A34005 2 22 hour hour NN A34005 2 23 and and CC A34005 2 24 azimuth azimuth NN A34005 2 25 universally universally RB A34005 2 26 in in IN A34005 2 27 the the DT A34005 2 28 equal equal JJ A34005 2 29 limbe limbe NN A34005 2 30 . . . A34005 3 1 Of of IN A34005 3 2 great great JJ A34005 3 3 use use NN A34005 3 4 to to IN A34005 3 5 seamen seaman NNS A34005 3 6 and and CC A34005 3 7 practitioners practitioner NNS A34005 3 8 in in IN A34005 3 9 the the DT A34005 3 10 mathematicks mathematick NNS A34005 3 11 . . . A34005 4 1 Written write VBN A34005 4 2 by by IN A34005 4 3 John John NNP A34005 4 4 Collins Collins NNP A34005 4 5 accountant accountant NN A34005 4 6 philomath philomath NN A34005 4 7 . . . A34005 5 1 Also also RB A34005 5 2 An an DT A34005 5 3 appendix appendix JJ A34005 5 4 touching touching NN A34005 5 5 reflected reflect VBD A34005 5 6 dyalling dyalle VBG A34005 5 7 from from IN A34005 5 8 a a DT A34005 5 9 glass glass NN A34005 5 10 placed place VBN A34005 5 11 at at IN A34005 5 12 any any DT A34005 5 13 reclination reclination NN A34005 5 14 . . . A34005 6 1 Collins Collins NNP A34005 6 2 , , , A34005 6 3 John John NNP A34005 6 4 , , , A34005 6 5 1625 1625 CD A34005 6 6 - - SYM A34005 6 7 1683 1683 CD A34005 6 8 . . . A34005 7 1 1659 1659 CD A34005 7 2 Approx Approx NNP A34005 7 3 . . . A34005 8 1 798 798 CD A34005 8 2 KB kb NN A34005 8 3 of of IN A34005 8 4 XML xml NN A34005 8 5 - - HYPH A34005 8 6 encoded encode VBN A34005 8 7 text text NN A34005 8 8 transcribed transcribe VBN A34005 8 9 from from IN A34005 8 10 209 209 CD A34005 8 11 1-bit 1-bit CD A34005 8 12 group group NN A34005 8 13 - - HYPH A34005 8 14 IV IV NNP A34005 8 15 TIFF TIFF NNP A34005 8 16 page page NN A34005 8 17 images image NNS A34005 8 18 . . . A34005 9 1 Text Text NNP A34005 9 2 Creation Creation NNP A34005 9 3 Partnership Partnership NNP A34005 9 4 , , , A34005 9 5 Ann Ann NNP A34005 9 6 Arbor Arbor NNP A34005 9 7 , , , A34005 9 8 MI MI NNP A34005 9 9 ; ; : A34005 9 10 Oxford Oxford NNP A34005 9 11 ( ( -LRB- A34005 9 12 UK UK NNP A34005 9 13 ) ) -RRB- A34005 9 14 : : : A34005 9 15 2007 2007 CD A34005 9 16 - - SYM A34005 9 17 01 01 CD A34005 9 18 ( ( -LRB- A34005 9 19 EEBO eebo NN A34005 9 20 - - HYPH A34005 9 21 TCP TCP NNP A34005 9 22 Phase Phase NNP A34005 9 23 1 1 CD A34005 9 24 ) ) -RRB- A34005 9 25 . . . A34005 10 1 A34005 A34005 NNP A34005 10 2 Wing Wing NNP A34005 10 3 C5382 C5382 NNP A34005 10 4 ESTC ESTC NNP A34005 10 5 R32501 R32501 NNP A34005 10 6 99899660 99899660 CD A34005 10 7 99899660 99899660 CD A34005 10 8 66044 66044 CD A34005 10 9 This this DT A34005 10 10 keyboarded keyboarded JJ A34005 10 11 and and CC A34005 10 12 encoded encode VBD A34005 10 13 edition edition NN A34005 10 14 of of IN A34005 10 15 the the DT A34005 10 16 work work NN A34005 10 17 described describe VBN A34005 10 18 above above RB A34005 10 19 is be VBZ A34005 10 20 co co VBN A34005 10 21 - - VBN A34005 10 22 owned own VBN A34005 10 23 by by IN A34005 10 24 the the DT A34005 10 25 institutions institution NNS A34005 10 26 providing provide VBG A34005 10 27 financial financial JJ A34005 10 28 support support NN A34005 10 29 to to IN A34005 10 30 the the DT A34005 10 31 Early early JJ A34005 10 32 English English NNP A34005 10 33 Books Books NNPS A34005 10 34 Online Online NNP A34005 10 35 Text Text NNP A34005 10 36 Creation Creation NNP A34005 10 37 Partnership Partnership NNP A34005 10 38 . . . A34005 11 1 This this DT A34005 11 2 Phase Phase NNP A34005 11 3 I -PRON- PRP A34005 11 4 text text NN A34005 11 5 is be VBZ A34005 11 6 available available JJ A34005 11 7 for for IN A34005 11 8 reuse reuse NN A34005 11 9 , , , A34005 11 10 according accord VBG A34005 11 11 to to IN A34005 11 12 the the DT A34005 11 13 terms term NNS A34005 11 14 of of IN A34005 11 15 Creative Creative NNP A34005 11 16 Commons Commons NNPS A34005 11 17 0 0 CD A34005 11 18 1.0 1.0 CD A34005 11 19 Universal Universal NNP A34005 11 20 . . . A34005 12 1 The the DT A34005 12 2 text text NN A34005 12 3 can can MD A34005 12 4 be be VB A34005 12 5 copied copy VBN A34005 12 6 , , , A34005 12 7 modified modify VBN A34005 12 8 , , , A34005 12 9 distributed distribute VBN A34005 12 10 and and CC A34005 12 11 performed perform VBN A34005 12 12 , , , A34005 12 13 even even RB A34005 12 14 for for IN A34005 12 15 commercial commercial JJ A34005 12 16 purposes purpose NNS A34005 12 17 , , , A34005 12 18 all all DT A34005 12 19 without without IN A34005 12 20 asking ask VBG A34005 12 21 permission permission NN A34005 12 22 . . . A34005 13 1 Early early JJ A34005 13 2 English english JJ A34005 13 3 books book NNS A34005 13 4 online online RB A34005 13 5 . . . A34005 14 1 ( ( -LRB- A34005 14 2 EEBO eebo NN A34005 14 3 - - HYPH A34005 14 4 TCP TCP NNP A34005 14 5 ; ; : A34005 14 6 phase phase NN A34005 14 7 1 1 CD A34005 14 8 , , , A34005 14 9 no no UH A34005 14 10 . . . A34005 15 1 A34005 A34005 NNP A34005 15 2 ) ) -RRB- A34005 15 3 Transcribed Transcribed NNP A34005 15 4 from from IN A34005 15 5 : : : A34005 15 6 ( ( -LRB- A34005 15 7 Early early JJ A34005 15 8 English english JJ A34005 15 9 Books book NNS A34005 15 10 Online online RB A34005 15 11 ; ; , A34005 15 12 image image NN A34005 15 13 set set NN A34005 15 14 66044 66044 CD A34005 15 15 ) ) -RRB- A34005 15 16 Images image NNS A34005 15 17 scanned scan VBN A34005 15 18 from from IN A34005 15 19 microfilm microfilm NN A34005 15 20 : : : A34005 15 21 ( ( -LRB- A34005 15 22 Early early JJ A34005 15 23 English english JJ A34005 15 24 books book NNS A34005 15 25 , , , A34005 15 26 1641 1641 CD A34005 15 27 - - SYM A34005 15 28 1700 1700 CD A34005 15 29 ; ; : A34005 15 30 1524:9 1524:9 CD A34005 15 31 or or CC A34005 15 32 2400:6 2400:6 CD A34005 15 33 ) ) -RRB- A34005 15 34 The the DT A34005 15 35 sector sector NN A34005 15 36 on on IN A34005 15 37 a a DT A34005 15 38 quadrant quadrant NN A34005 15 39 , , , A34005 15 40 or or CC A34005 15 41 A a DT A34005 15 42 treatise treatise NN A34005 15 43 containing contain VBG A34005 15 44 the the DT A34005 15 45 description description NN A34005 15 46 and and CC A34005 15 47 use use NN A34005 15 48 of of IN A34005 15 49 four four CD A34005 15 50 several several JJ A34005 15 51 quadrants quadrant NNS A34005 15 52 two two CD A34005 15 53 small small JJ A34005 15 54 ones one NNS A34005 15 55 and and CC A34005 15 56 two two CD A34005 15 57 great great JJ A34005 15 58 ones one NNS A34005 15 59 , , , A34005 15 60 each each DT A34005 15 61 rendred rendre VBD A34005 15 62 many many JJ A34005 15 63 wayes waye NNS A34005 15 64 , , , A34005 15 65 both both CC A34005 15 66 general general JJ A34005 15 67 and and CC A34005 15 68 particular particular JJ A34005 15 69 . . . A34005 16 1 Each each DT A34005 16 2 of of IN A34005 16 3 them -PRON- PRP A34005 16 4 accomodated accomodate VBD A34005 16 5 for for IN A34005 16 6 dyalling dyalle VBG A34005 16 7 ; ; : A34005 16 8 for for IN A34005 16 9 the the DT A34005 16 10 resolving resolving NN A34005 16 11 of of IN A34005 16 12 all all DT A34005 16 13 proportions proportion NNS A34005 16 14 instrumentally instrumentally RB A34005 16 15 ; ; : A34005 16 16 and and CC A34005 16 17 for for IN A34005 16 18 the the DT A34005 16 19 ready ready JJ A34005 16 20 finding find VBG A34005 16 21 the the DT A34005 16 22 hour hour NN A34005 16 23 and and CC A34005 16 24 azimuth azimuth NN A34005 16 25 universally universally RB A34005 16 26 in in IN A34005 16 27 the the DT A34005 16 28 equal equal JJ A34005 16 29 limbe limbe NN A34005 16 30 . . . A34005 17 1 Of of IN A34005 17 2 great great JJ A34005 17 3 use use NN A34005 17 4 to to IN A34005 17 5 seamen seaman NNS A34005 17 6 and and CC A34005 17 7 practitioners practitioner NNS A34005 17 8 in in IN A34005 17 9 the the DT A34005 17 10 mathematicks mathematick NNS A34005 17 11 . . . A34005 18 1 Written write VBN A34005 18 2 by by IN A34005 18 3 John John NNP A34005 18 4 Collins Collins NNP A34005 18 5 accountant accountant NN A34005 18 6 philomath philomath NN A34005 18 7 . . . A34005 19 1 Also also RB A34005 19 2 An an DT A34005 19 3 appendix appendix JJ A34005 19 4 touching touching NN A34005 19 5 reflected reflect VBD A34005 19 6 dyalling dyalle VBG A34005 19 7 from from IN A34005 19 8 a a DT A34005 19 9 glass glass NN A34005 19 10 placed place VBN A34005 19 11 at at IN A34005 19 12 any any DT A34005 19 13 reclination reclination NN A34005 19 14 . . . A34005 20 1 Collins Collins NNP A34005 20 2 , , , A34005 20 3 John John NNP A34005 20 4 , , , A34005 20 5 1625 1625 CD A34005 20 6 - - SYM A34005 20 7 1683 1683 CD A34005 20 8 . . . A34005 21 1 Lyon Lyon NNP A34005 21 2 , , , A34005 21 3 John John NNP A34005 21 4 , , , A34005 21 5 professor professor NN A34005 21 6 of of IN A34005 21 7 mathematics mathematic NNS A34005 21 8 . . . A34005 22 1 Appendix Appendix NNP A34005 22 2 touching touch VBG A34005 22 3 reflective reflective JJ A34005 22 4 dialling dialling NN A34005 22 5 . . . A34005 23 1 Sutton Sutton NNP A34005 23 2 , , , A34005 23 3 Henry Henry NNP A34005 23 4 , , , A34005 23 5 mathematical mathematical JJ A34005 23 6 instrument instrument NN A34005 23 7 maker maker NN A34005 23 8 . . . A34005 24 1 [ [ -LRB- A34005 24 2 16 16 CD A34005 24 3 ] ] -RRB- A34005 24 4 , , , A34005 24 5 284 284 CD A34005 24 6 ; ; : A34005 24 7 [ [ -LRB- A34005 24 8 2 2 CD A34005 24 9 ] ] -RRB- A34005 24 10 , , , A34005 24 11 54 54 CD A34005 24 12 , , , A34005 24 13 [ [ -LRB- A34005 24 14 10 10 CD A34005 24 15 ] ] -RRB- A34005 24 16 , , , A34005 24 17 26 26 CD A34005 24 18 p. p. NN A34005 24 19 , , , A34005 24 20 [ [ -LRB- A34005 24 21 6 6 CD A34005 24 22 ] ] -RRB- A34005 24 23 leaves leave NNS A34005 24 24 of of IN A34005 24 25 plates plate NNS A34005 24 26 ( ( -LRB- A34005 24 27 some some DT A34005 24 28 folded fold VBN A34005 24 29 ) ) -RRB- A34005 24 30 : : : A34005 24 31 ill ill NNP A34005 24 32 . . . A34005 24 33 ( ( -LRB- A34005 24 34 woodcuts woodcut NNS A34005 24 35 ) ) -RRB- A34005 24 36 printed print VBN A34005 24 37 by by IN A34005 24 38 J.M. J.M. NNP A34005 25 1 for for IN A34005 25 2 George George NNP A34005 25 3 Hurlock Hurlock NNP A34005 25 4 at at IN A34005 25 5 Magnus Magnus NNP A34005 25 6 Corner Corner NNP A34005 25 7 , , , A34005 25 8 Thomas Thomas NNP A34005 25 9 Pierrepont Pierrepont NNP A34005 25 10 , , , A34005 25 11 at at IN A34005 25 12 the the DT A34005 25 13 Sun Sun NNP A34005 25 14 in in IN A34005 25 15 Pauls Pauls NNP A34005 25 16 Church Church NNP A34005 25 17 - - HYPH A34005 25 18 yard yard NN A34005 25 19 ; ; : A34005 25 20 William William NNP A34005 25 21 Fisher Fisher NNP A34005 25 22 , , , A34005 25 23 at at IN A34005 25 24 the the DT A34005 25 25 Postern Postern NNP A34005 25 26 near near IN A34005 25 27 Tower Tower NNP A34005 25 28 - - HYPH A34005 25 29 Hill Hill NNP A34005 25 30 , , , A34005 25 31 book book NN A34005 25 32 - - HYPH A34005 25 33 sellers seller NNS A34005 25 34 ; ; : A34005 25 35 and and CC A34005 25 36 Henry Henry NNP A34005 25 37 Sutton Sutton NNP A34005 25 38 , , , A34005 25 39 mathematical mathematical JJ A34005 25 40 instrument instrument NN A34005 25 41 - - HYPH A34005 25 42 maker maker NN A34005 25 43 , , , A34005 25 44 at at IN A34005 25 45 his -PRON- PRP$ A34005 25 46 house house NN A34005 25 47 in in IN A34005 25 48 Thred Thred NNP A34005 25 49 - - HYPH A34005 25 50 needle needle NNP A34005 25 51 street street NN A34005 25 52 , , , A34005 25 53 behind behind IN A34005 25 54 the the DT A34005 25 55 Exchange Exchange NNP A34005 25 56 . . . A34005 26 1 With with IN A34005 26 2 paper paper NN A34005 26 3 prints print NNS A34005 26 4 of of IN A34005 26 5 each each DT A34005 26 6 quadrant quadrant JJ A34005 26 7 , , , A34005 26 8 either either CC A34005 26 9 loose loose JJ A34005 26 10 or or CC A34005 26 11 pasted paste VBN A34005 26 12 upon upon IN A34005 26 13 boards board NNS A34005 26 14 ; ; : A34005 26 15 to to TO A34005 26 16 be be VB A34005 26 17 sold sell VBN A34005 26 18 at at IN A34005 26 19 the the DT A34005 26 20 respective respective JJ A34005 26 21 places place NNS A34005 26 22 aforesaid aforesaid VBD A34005 26 23 , , , A34005 26 24 London London NNP A34005 26 25 : : : A34005 26 26 1659 1659 CD A34005 26 27 . . . A34005 27 1 The the DT A34005 27 2 quadrants quadrant NNS A34005 27 3 described describe VBN A34005 27 4 were be VBD A34005 27 5 made make VBN A34005 27 6 and and CC A34005 27 7 engraved engrave VBN A34005 27 8 by by IN A34005 27 9 Henry Henry NNP A34005 27 10 Sutton Sutton NNP A34005 27 11 , , , A34005 27 12 who who WP A34005 27 13 also also RB A34005 27 14 calculated calculate VBD A34005 27 15 some some DT A34005 27 16 of of IN A34005 27 17 the the DT A34005 27 18 tables table NNS A34005 27 19 and and CC A34005 27 20 drew draw VBD A34005 27 21 the the DT A34005 27 22 projections projection NNS A34005 27 23 . . . A34005 28 1 " " `` A34005 28 2 The the DT A34005 28 3 description description NN A34005 28 4 and and CC A34005 28 5 vses vse NNS A34005 28 6 of of IN A34005 28 7 a a DT A34005 28 8 great great JJ A34005 28 9 universal universal JJ A34005 28 10 quadrant quadrant NN A34005 28 11 " " '' A34005 28 12 has have VBZ A34005 28 13 separate separate JJ A34005 28 14 title title NN A34005 28 15 page page NN A34005 28 16 dated date VBD A34005 28 17 1658 1658 CD A34005 28 18 ; ; : A34005 28 19 pagination pagination NN A34005 28 20 and and CC A34005 28 21 register register VB A34005 28 22 are be VBP A34005 28 23 continuous continuous JJ A34005 28 24 . . . A34005 29 1 " " `` A34005 29 2 The the DT A34005 29 3 description description NN A34005 29 4 and and CC A34005 29 5 uses use NNS A34005 29 6 of of IN A34005 29 7 a a DT A34005 29 8 general general JJ A34005 29 9 quadrant quadrant NN A34005 29 10 , , , A34005 29 11 with with IN A34005 29 12 the the DT A34005 29 13 horizontal horizontal JJ A34005 29 14 projection projection NN A34005 29 15 , , , A34005 29 16 upon upon IN A34005 29 17 it -PRON- PRP A34005 29 18 inverted invert VBD A34005 29 19 " " '' A34005 29 20 has have VBZ A34005 29 21 separate separate JJ A34005 29 22 title title NN A34005 29 23 page page NN A34005 29 24 dated date VBD A34005 29 25 1658 1658 CD A34005 29 26 ; ; : A34005 29 27 pagination pagination NN A34005 29 28 , , , A34005 29 29 and and CC A34005 29 30 register register VB A34005 29 31 are be VBP A34005 29 32 separate separate JJ A34005 29 33 . . . A34005 30 1 " " `` A34005 30 2 An an DT A34005 30 3 appendix appendix NNP A34005 30 4 touching touch VBG A34005 30 5 reflective reflective JJ A34005 30 6 dialling dialling NN A34005 30 7 " " '' A34005 30 8 by by IN A34005 30 9 John John NNP A34005 30 10 Lyon Lyon NNP A34005 30 11 has have VBZ A34005 30 12 separate separate JJ A34005 30 13 title title NN A34005 30 14 page page NN A34005 30 15 dated date VBD A34005 30 16 1658 1658 CD A34005 30 17 ; ; : A34005 30 18 pagination pagination NN A34005 30 19 is be VBZ A34005 30 20 separate separate JJ A34005 30 21 ; ; : A34005 30 22 register register NNP A34005 30 23 is be VBZ A34005 30 24 continuous continuous JJ A34005 30 25 . . . A34005 31 1 A a DT A34005 31 2 reissue reissue NN A34005 31 3 , , , A34005 31 4 with with IN A34005 31 5 cancel cancel NNP A34005 31 6 title title NN A34005 31 7 page page NN A34005 31 8 , , , A34005 31 9 of of IN A34005 31 10 the the DT A34005 31 11 1658 1658 CD A34005 31 12 edition edition NN A34005 31 13 having have VBG A34005 31 14 " " `` A34005 31 15 printed print VBN A34005 31 16 by by IN A34005 31 17 J. J. NNP A34005 31 18 Macock Macock NNP A34005 31 19 " " '' A34005 31 20 in in IN A34005 31 21 imprint imprint NN A34005 31 22 ( ( -LRB- A34005 31 23 Wing wing NN A34005 31 24 C5381 C5381 NNP A34005 31 25 ) ) -RRB- A34005 31 26 . . . A34005 32 1 In in IN A34005 32 2 this this DT A34005 32 3 issue issue NN A34005 32 4 , , , A34005 32 5 the the DT A34005 32 6 2 2 CD A34005 32 7 contents content NNS A34005 32 8 leaves leave NNS A34005 32 9 , , , A34005 32 10 bound bind VBN A34005 32 11 after after IN A34005 32 12 p. p. NN A34005 32 13 275 275 CD A34005 32 14 in in IN A34005 32 15 the the DT A34005 32 16 original original JJ A34005 32 17 issue issue NN A34005 32 18 , , , A34005 32 19 are be VBP A34005 32 20 bound bind VBN A34005 32 21 with with IN A34005 32 22 the the DT A34005 32 23 preliminaries preliminary NNS A34005 32 24 , , , A34005 32 25 following follow VBG A34005 32 26 title title NN A34005 32 27 page page NN A34005 32 28 and and CC A34005 32 29 " " `` A34005 32 30 To to IN A34005 32 31 the the DT A34005 32 32 reader reader NN A34005 32 33 " " '' A34005 32 34 ( ( -LRB- A34005 32 35 A2 A2 NNP A34005 32 36 ) ) -RRB- A34005 32 37 . . . A34005 33 1 The the DT A34005 33 2 catchword catchword NN A34005 33 3 " " `` A34005 33 4 The The NNP A34005 33 5 " " '' A34005 33 6 on on IN A34005 33 7 the the DT A34005 33 8 verso verso NN A34005 33 9 of of IN A34005 33 10 the the DT A34005 33 11 second second JJ A34005 33 12 contents content NNS A34005 33 13 leaf leaf NN A34005 33 14 does do VBZ A34005 33 15 not not RB A34005 33 16 match match VB A34005 33 17 the the DT A34005 33 18 first first JJ A34005 33 19 word word NN A34005 33 20 of of IN A34005 33 21 the the DT A34005 33 22 following follow VBG A34005 33 23 page page NN A34005 33 24 ( ( -LRB- A34005 33 25 a1 a1 NNP A34005 33 26 ) ) -RRB- A34005 33 27 . . . A34005 34 1 " " `` A34005 34 2 The the DT A34005 34 3 description description NN A34005 34 4 and and CC A34005 34 5 uses use NNS A34005 34 6 of of IN A34005 34 7 a a DT A34005 34 8 general general JJ A34005 34 9 quadrant quadrant NN A34005 34 10 " " '' A34005 34 11 filmed film VBN A34005 34 12 separately separately RB A34005 34 13 as as IN A34005 34 14 Wing Wing NNP A34005 34 15 C5371 C5371 NNP A34005 34 16 on on IN A34005 34 17 UMI UMI NNP A34005 34 18 microfilm microfilm NN A34005 34 19 set set NN A34005 34 20 " " `` A34005 34 21 Early early JJ A34005 34 22 English english JJ A34005 34 23 books book NNS A34005 34 24 , , , A34005 34 25 1641 1641 CD A34005 34 26 - - SYM A34005 34 27 1700 1700 CD A34005 34 28 " " '' A34005 34 29 , , , A34005 34 30 reel reel VB A34005 34 31 2400 2400 CD A34005 34 32 . . . A34005 35 1 Reproduction reproduction NN A34005 35 2 of of IN A34005 35 3 originals original NNS A34005 35 4 in in IN A34005 35 5 : : : A34005 35 6 Harvard Harvard NNP A34005 35 7 University University NNP A34005 35 8 Library Library NNP A34005 35 9 ; ; : A34005 35 10 Henry Henry NNP A34005 35 11 E. E. NNP A34005 35 12 Huntington Huntington NNP A34005 35 13 Library Library NNP A34005 35 14 . . . A34005 36 1 Created create VBN A34005 36 2 by by IN A34005 36 3 converting convert VBG A34005 36 4 TCP TCP NNP A34005 36 5 files file NNS A34005 36 6 to to IN A34005 36 7 TEI TEI NNP A34005 36 8 P5 P5 NNP A34005 36 9 using use VBG A34005 36 10 tcp2tei.xsl tcp2tei.xsl NN A34005 36 11 , , , A34005 36 12 TEI TEI NNP A34005 36 13 @ @ CC A34005 36 14 Oxford Oxford NNP A34005 36 15 . . . A34005 37 1 Re Re NNS A34005 37 2 - - VBN A34005 37 3 processed process VBN A34005 37 4 by by IN A34005 37 5 University University NNP A34005 37 6 of of IN A34005 37 7 Nebraska Nebraska NNP A34005 37 8 - - HYPH A34005 37 9 Lincoln Lincoln NNP A34005 37 10 and and CC A34005 37 11 Northwestern Northwestern NNP A34005 37 12 , , , A34005 37 13 with with IN A34005 37 14 changes change NNS A34005 37 15 to to TO A34005 37 16 facilitate facilitate VB A34005 37 17 morpho morpho NN A34005 37 18 - - HYPH A34005 37 19 syntactic syntactic JJ A34005 37 20 tagging tagging NN A34005 37 21 . . . A34005 38 1 Gap Gap NNP A34005 38 2 elements element NNS A34005 38 3 of of IN A34005 38 4 known know VBN A34005 38 5 extent extent NN A34005 38 6 have have VBP A34005 38 7 been be VBN A34005 38 8 transformed transform VBN A34005 38 9 into into IN A34005 38 10 placeholder placeholder NN A34005 38 11 characters character NNS A34005 38 12 or or CC A34005 38 13 elements element NNS A34005 38 14 to to TO A34005 38 15 simplify simplify VB A34005 38 16 the the DT A34005 38 17 filling filling NN A34005 38 18 in in RP A34005 38 19 of of IN A34005 38 20 gaps gap NNS A34005 38 21 by by IN A34005 38 22 user user NN A34005 38 23 contributors contributor NNS A34005 38 24 . . . A34005 39 1 EEBO EEBO NNP A34005 39 2 - - HYPH A34005 39 3 TCP TCP NNP A34005 39 4 is be VBZ A34005 39 5 a a DT A34005 39 6 partnership partnership NN A34005 39 7 between between IN A34005 39 8 the the DT A34005 39 9 Universities Universities NNPS A34005 39 10 of of IN A34005 39 11 Michigan Michigan NNP A34005 39 12 and and CC A34005 39 13 Oxford Oxford NNP A34005 39 14 and and CC A34005 39 15 the the DT A34005 39 16 publisher publisher NN A34005 39 17 ProQuest ProQuest NNP A34005 39 18 to to TO A34005 39 19 create create VB A34005 39 20 accurately accurately RB A34005 39 21 transcribed transcribe VBN A34005 39 22 and and CC A34005 39 23 encoded encode VBN A34005 39 24 texts text NNS A34005 39 25 based base VBN A34005 39 26 on on IN A34005 39 27 the the DT A34005 39 28 image image NN A34005 39 29 sets set NNS A34005 39 30 published publish VBN A34005 39 31 by by IN A34005 39 32 ProQuest ProQuest NNP A34005 39 33 via via IN A34005 39 34 their -PRON- PRP$ A34005 39 35 Early early JJ A34005 39 36 English english JJ A34005 39 37 Books book NNS A34005 39 38 Online Online NNP A34005 39 39 ( ( -LRB- A34005 39 40 EEBO EEBO NNP A34005 39 41 ) ) -RRB- A34005 39 42 database database NN A34005 39 43 ( ( -LRB- A34005 39 44 http://eebo.chadwyck.com http://eebo.chadwyck.com ADD A34005 39 45 ) ) -RRB- A34005 39 46 . . . A34005 40 1 The the DT A34005 40 2 general general JJ A34005 40 3 aim aim NN A34005 40 4 of of IN A34005 40 5 EEBO eebo NN A34005 40 6 - - HYPH A34005 40 7 TCP TCP NNP A34005 40 8 is be VBZ A34005 40 9 to to TO A34005 40 10 encode encode VB A34005 40 11 one one CD A34005 40 12 copy copy NN A34005 40 13 ( ( -LRB- A34005 40 14 usually usually RB A34005 40 15 the the DT A34005 40 16 first first JJ A34005 40 17 edition edition NN A34005 40 18 ) ) -RRB- A34005 40 19 of of IN A34005 40 20 every every DT A34005 40 21 monographic monographic JJ A34005 40 22 English English NNP A34005 40 23 - - HYPH A34005 40 24 language language NN A34005 40 25 title title NN A34005 40 26 published publish VBN A34005 40 27 between between IN A34005 40 28 1473 1473 CD A34005 40 29 and and CC A34005 40 30 1700 1700 CD A34005 40 31 available available JJ A34005 40 32 in in IN A34005 40 33 EEBO EEBO NNP A34005 40 34 . . . A34005 41 1 EEBO EEBO NNP A34005 41 2 - - HYPH A34005 41 3 TCP TCP NNP A34005 41 4 aimed aim VBN A34005 41 5 to to TO A34005 41 6 produce produce VB A34005 41 7 large large JJ A34005 41 8 quantities quantity NNS A34005 41 9 of of IN A34005 41 10 textual textual JJ A34005 41 11 data datum NNS A34005 41 12 within within IN A34005 41 13 the the DT A34005 41 14 usual usual JJ A34005 41 15 project project NN A34005 41 16 restraints restraint NNS A34005 41 17 of of IN A34005 41 18 time time NN A34005 41 19 and and CC A34005 41 20 funding funding NN A34005 41 21 , , , A34005 41 22 and and CC A34005 41 23 therefore therefore RB A34005 41 24 chose choose VBD A34005 41 25 to to TO A34005 41 26 create create VB A34005 41 27 diplomatic diplomatic JJ A34005 41 28 transcriptions transcription NNS A34005 41 29 ( ( -LRB- A34005 41 30 as as IN A34005 41 31 opposed oppose VBN A34005 41 32 to to IN A34005 41 33 critical critical JJ A34005 41 34 editions edition NNS A34005 41 35 ) ) -RRB- A34005 41 36 with with IN A34005 41 37 light light JJ A34005 41 38 - - HYPH A34005 41 39 touch touch NN A34005 41 40 , , , A34005 41 41 mainly mainly RB A34005 41 42 structural structural JJ A34005 41 43 encoding encoding NN A34005 41 44 based base VBN A34005 41 45 on on IN A34005 41 46 the the DT A34005 41 47 Text Text NNP A34005 41 48 Encoding Encoding NNP A34005 41 49 Initiative Initiative NNP A34005 41 50 ( ( -LRB- A34005 41 51 http://www.tei-c.org http://www.tei-c.org NFP A34005 41 52 ) ) -RRB- A34005 41 53 . . . A34005 42 1 The the DT A34005 42 2 EEBO EEBO NNP A34005 42 3 - - HYPH A34005 42 4 TCP TCP NNP A34005 42 5 project project NN A34005 42 6 was be VBD A34005 42 7 divided divide VBN A34005 42 8 into into IN A34005 42 9 two two CD A34005 42 10 phases phase NNS A34005 42 11 . . . A34005 43 1 The the DT A34005 43 2 25,363 25,363 CD A34005 43 3 texts text NNS A34005 43 4 created create VBN A34005 43 5 during during IN A34005 43 6 Phase Phase NNP A34005 43 7 1 1 CD A34005 43 8 of of IN A34005 43 9 the the DT A34005 43 10 project project NN A34005 43 11 have have VBP A34005 43 12 been be VBN A34005 43 13 released release VBN A34005 43 14 into into IN A34005 43 15 the the DT A34005 43 16 public public JJ A34005 43 17 domain domain NN A34005 43 18 as as IN A34005 43 19 of of IN A34005 43 20 1 1 CD A34005 43 21 January January NNP A34005 43 22 2015 2015 CD A34005 43 23 . . . A34005 44 1 Anyone anyone NN A34005 44 2 can can MD A34005 44 3 now now RB A34005 44 4 take take VB A34005 44 5 and and CC A34005 44 6 use use VB A34005 44 7 these these DT A34005 44 8 texts text NNS A34005 44 9 for for IN A34005 44 10 their -PRON- PRP$ A34005 44 11 own own JJ A34005 44 12 purposes purpose NNS A34005 44 13 , , , A34005 44 14 but but CC A34005 44 15 we -PRON- PRP A34005 44 16 respectfully respectfully RB A34005 44 17 request request VBP A34005 44 18 that that DT A34005 44 19 due due JJ A34005 44 20 credit credit NN A34005 44 21 and and CC A34005 44 22 attribution attribution NN A34005 44 23 is be VBZ A34005 44 24 given give VBN A34005 44 25 to to IN A34005 44 26 their -PRON- PRP$ A34005 44 27 original original JJ A34005 44 28 source source NN A34005 44 29 . . . A34005 45 1 Users user NNS A34005 45 2 should should MD A34005 45 3 be be VB A34005 45 4 aware aware JJ A34005 45 5 of of IN A34005 45 6 the the DT A34005 45 7 process process NN A34005 45 8 of of IN A34005 45 9 creating create VBG A34005 45 10 the the DT A34005 45 11 TCP TCP NNP A34005 45 12 texts text NNS A34005 45 13 , , , A34005 45 14 and and CC A34005 45 15 therefore therefore RB A34005 45 16 of of IN A34005 45 17 any any DT A34005 45 18 assumptions assumption NNS A34005 45 19 that that WDT A34005 45 20 can can MD A34005 45 21 be be VB A34005 45 22 made make VBN A34005 45 23 about about IN A34005 45 24 the the DT A34005 45 25 data datum NNS A34005 45 26 . . . A34005 46 1 Text text NN A34005 46 2 selection selection NN A34005 46 3 was be VBD A34005 46 4 based base VBN A34005 46 5 on on IN A34005 46 6 the the DT A34005 46 7 New New NNP A34005 46 8 Cambridge Cambridge NNP A34005 46 9 Bibliography Bibliography NNP A34005 46 10 of of IN A34005 46 11 English English NNP A34005 46 12 Literature Literature NNP A34005 46 13 ( ( -LRB- A34005 46 14 NCBEL NCBEL NNP A34005 46 15 ) ) -RRB- A34005 46 16 . . . A34005 47 1 If if IN A34005 47 2 an an DT A34005 47 3 author author NN A34005 47 4 ( ( -LRB- A34005 47 5 or or CC A34005 47 6 for for IN A34005 47 7 an an DT A34005 47 8 anonymous anonymous JJ A34005 47 9 work work NN A34005 47 10 , , , A34005 47 11 the the DT A34005 47 12 title title NN A34005 47 13 ) ) -RRB- A34005 47 14 appears appear VBZ A34005 47 15 in in IN A34005 47 16 NCBEL NCBEL NNP A34005 47 17 , , , A34005 47 18 then then RB A34005 47 19 their -PRON- PRP$ A34005 47 20 works work NNS A34005 47 21 are be VBP A34005 47 22 eligible eligible JJ A34005 47 23 for for IN A34005 47 24 inclusion inclusion NN A34005 47 25 . . . A34005 48 1 Selection selection NN A34005 48 2 was be VBD A34005 48 3 intended intend VBN A34005 48 4 to to TO A34005 48 5 range range VB A34005 48 6 over over RP A34005 48 7 a a DT A34005 48 8 wide wide JJ A34005 48 9 variety variety NN A34005 48 10 of of IN A34005 48 11 subject subject JJ A34005 48 12 areas area NNS A34005 48 13 , , , A34005 48 14 to to TO A34005 48 15 reflect reflect VB A34005 48 16 the the DT A34005 48 17 true true JJ A34005 48 18 nature nature NN A34005 48 19 of of IN A34005 48 20 the the DT A34005 48 21 print print NN A34005 48 22 record record NN A34005 48 23 of of IN A34005 48 24 the the DT A34005 48 25 period period NN A34005 48 26 . . . A34005 49 1 In in IN A34005 49 2 general general JJ A34005 49 3 , , , A34005 49 4 first first JJ A34005 49 5 editions edition NNS A34005 49 6 of of IN A34005 49 7 a a DT A34005 49 8 works work NNS A34005 49 9 in in IN A34005 49 10 English English NNP A34005 49 11 were be VBD A34005 49 12 prioritized prioritize VBN A34005 49 13 , , , A34005 49 14 although although IN A34005 49 15 there there EX A34005 49 16 are be VBP A34005 49 17 a a DT A34005 49 18 number number NN A34005 49 19 of of IN A34005 49 20 works work NNS A34005 49 21 in in IN A34005 49 22 other other JJ A34005 49 23 languages language NNS A34005 49 24 , , , A34005 49 25 notably notably RB A34005 49 26 Latin Latin NNP A34005 49 27 and and CC A34005 49 28 Welsh Welsh NNP A34005 49 29 , , , A34005 49 30 included include VBD A34005 49 31 and and CC A34005 49 32 sometimes sometimes RB A34005 49 33 a a DT A34005 49 34 second second JJ A34005 49 35 or or CC A34005 49 36 later later JJ A34005 49 37 edition edition NN A34005 49 38 of of IN A34005 49 39 a a DT A34005 49 40 work work NN A34005 49 41 was be VBD A34005 49 42 chosen choose VBN A34005 49 43 if if IN A34005 49 44 there there EX A34005 49 45 was be VBD A34005 49 46 a a DT A34005 49 47 compelling compelling JJ A34005 49 48 reason reason NN A34005 49 49 to to TO A34005 49 50 do do VB A34005 49 51 so so RB A34005 49 52 . . . A34005 50 1 Image image NN A34005 50 2 sets set NNS A34005 50 3 were be VBD A34005 50 4 sent send VBN A34005 50 5 to to IN A34005 50 6 external external JJ A34005 50 7 keying keying NN A34005 50 8 companies company NNS A34005 50 9 for for IN A34005 50 10 transcription transcription NN A34005 50 11 and and CC A34005 50 12 basic basic JJ A34005 50 13 encoding encoding NN A34005 50 14 . . . A34005 51 1 Quality quality JJ A34005 51 2 assurance assurance NN A34005 51 3 was be VBD A34005 51 4 then then RB A34005 51 5 carried carry VBN A34005 51 6 out out RP A34005 51 7 by by IN A34005 51 8 editorial editorial JJ A34005 51 9 teams team NNS A34005 51 10 in in IN A34005 51 11 Oxford Oxford NNP A34005 51 12 and and CC A34005 51 13 Michigan Michigan NNP A34005 51 14 . . . A34005 52 1 5 5 CD A34005 52 2 % % NN A34005 52 3 ( ( -LRB- A34005 52 4 or or CC A34005 52 5 5 5 CD A34005 52 6 pages page NNS A34005 52 7 , , , A34005 52 8 whichever whichever WDT A34005 52 9 is be VBZ A34005 52 10 the the DT A34005 52 11 greater great JJR A34005 52 12 ) ) -RRB- A34005 52 13 of of IN A34005 52 14 each each DT A34005 52 15 text text NN A34005 52 16 was be VBD A34005 52 17 proofread proofread NN A34005 52 18 for for IN A34005 52 19 accuracy accuracy NN A34005 52 20 and and CC A34005 52 21 those those DT A34005 52 22 which which WDT A34005 52 23 did do VBD A34005 52 24 not not RB A34005 52 25 meet meet VB A34005 52 26 QA qa NN A34005 52 27 standards standard NNS A34005 52 28 were be VBD A34005 52 29 returned return VBN A34005 52 30 to to IN A34005 52 31 the the DT A34005 52 32 keyers keyer NNS A34005 52 33 to to TO A34005 52 34 be be VB A34005 52 35 redone redone NN A34005 52 36 . . . A34005 53 1 After after IN A34005 53 2 proofreading proofreading NN A34005 53 3 , , , A34005 53 4 the the DT A34005 53 5 encoding encoding NN A34005 53 6 was be VBD A34005 53 7 enhanced enhance VBN A34005 53 8 and/or and/or CC A34005 53 9 corrected correct VBD A34005 53 10 and and CC A34005 53 11 characters character NNS A34005 53 12 marked mark VBN A34005 53 13 as as IN A34005 53 14 illegible illegible JJ A34005 53 15 were be VBD A34005 53 16 corrected correct VBN A34005 53 17 where where WRB A34005 53 18 possible possible JJ A34005 53 19 up up IN A34005 53 20 to to IN A34005 53 21 a a DT A34005 53 22 limit limit NN A34005 53 23 of of IN A34005 53 24 100 100 CD A34005 53 25 instances instance NNS A34005 53 26 per per IN A34005 53 27 text text NN A34005 53 28 . . . A34005 54 1 Any any DT A34005 54 2 remaining remain VBG A34005 54 3 illegibles illegible NNS A34005 54 4 were be VBD A34005 54 5 encoded encode VBN A34005 54 6 as as IN A34005 54 7 < < XX A34005 54 8 gap gap NN A34005 54 9 > > XX A34005 54 10 s s XX A34005 54 11 . . . A34005 55 1 Understanding understand VBG A34005 55 2 these these DT A34005 55 3 processes process NNS A34005 55 4 should should MD A34005 55 5 make make VB A34005 55 6 clear clear JJ A34005 55 7 that that IN A34005 55 8 , , , A34005 55 9 while while IN A34005 55 10 the the DT A34005 55 11 overall overall JJ A34005 55 12 quality quality NN A34005 55 13 of of IN A34005 55 14 TCP TCP NNP A34005 55 15 data datum NNS A34005 55 16 is be VBZ A34005 55 17 very very RB A34005 55 18 good good JJ A34005 55 19 , , , A34005 55 20 some some DT A34005 55 21 errors error NNS A34005 55 22 will will MD A34005 55 23 remain remain VB A34005 55 24 and and CC A34005 55 25 some some DT A34005 55 26 readable readable JJ A34005 55 27 characters character NNS A34005 55 28 will will MD A34005 55 29 be be VB A34005 55 30 marked mark VBN A34005 55 31 as as IN A34005 55 32 illegible illegible JJ A34005 55 33 . . . A34005 56 1 Users user NNS A34005 56 2 should should MD A34005 56 3 bear bear VB A34005 56 4 in in IN A34005 56 5 mind mind NN A34005 56 6 that that IN A34005 56 7 in in IN A34005 56 8 all all DT A34005 56 9 likelihood likelihood NN A34005 56 10 such such JJ A34005 56 11 instances instance NNS A34005 56 12 will will MD A34005 56 13 never never RB A34005 56 14 have have VB A34005 56 15 been be VBN A34005 56 16 looked look VBN A34005 56 17 at at IN A34005 56 18 by by IN A34005 56 19 a a DT A34005 56 20 TCP TCP NNP A34005 56 21 editor editor NN A34005 56 22 . . . A34005 57 1 The the DT A34005 57 2 texts text NNS A34005 57 3 were be VBD A34005 57 4 encoded encode VBN A34005 57 5 and and CC A34005 57 6 linked link VBN A34005 57 7 to to IN A34005 57 8 page page NN A34005 57 9 images image NNS A34005 57 10 in in IN A34005 57 11 accordance accordance NN A34005 57 12 with with IN A34005 57 13 level level NN A34005 57 14 4 4 CD A34005 57 15 of of IN A34005 57 16 the the DT A34005 57 17 TEI TEI NNP A34005 57 18 in in IN A34005 57 19 Libraries Libraries NNP A34005 57 20 guidelines guideline NNS A34005 57 21 . . . A34005 58 1 Copies copy NNS A34005 58 2 of of IN A34005 58 3 the the DT A34005 58 4 texts text NNS A34005 58 5 have have VBP A34005 58 6 been be VBN A34005 58 7 issued issue VBN A34005 58 8 variously variously RB A34005 58 9 as as IN A34005 58 10 SGML SGML NNP A34005 58 11 ( ( -LRB- A34005 58 12 TCP TCP NNP A34005 58 13 schema schema NN A34005 58 14 ; ; : A34005 58 15 ASCII ASCII NNP A34005 58 16 text text NN A34005 58 17 with with IN A34005 58 18 mnemonic mnemonic NNP A34005 58 19 sdata sdata NNP A34005 58 20 character character NNP A34005 58 21 entities entity NNS A34005 58 22 ) ) -RRB- A34005 58 23 ; ; : A34005 58 24 displayable displayable JJ A34005 58 25 XML xml NN A34005 58 26 ( ( -LRB- A34005 58 27 TCP TCP NNP A34005 58 28 schema schema NN A34005 58 29 ; ; : A34005 58 30 characters character NNS A34005 58 31 represented represent VBD A34005 58 32 either either CC A34005 58 33 as as IN A34005 58 34 UTF-8 UTF-8 NNP A34005 58 35 Unicode Unicode NNP A34005 58 36 or or CC A34005 58 37 text text NN A34005 58 38 strings string NNS A34005 58 39 within within IN A34005 58 40 braces brace NNS A34005 58 41 ) ) -RRB- A34005 58 42 ; ; : A34005 58 43 or or CC A34005 58 44 lossless lossless JJ A34005 58 45 XML xml NN A34005 58 46 ( ( -LRB- A34005 58 47 TEI TEI NNP A34005 58 48 P5 P5 NNP A34005 58 49 , , , A34005 58 50 characters character NNS A34005 58 51 represented represent VBD A34005 58 52 either either CC A34005 58 53 as as IN A34005 58 54 UTF-8 UTF-8 NNP A34005 58 55 Unicode Unicode NNP A34005 58 56 or or CC A34005 58 57 TEI TEI NNP A34005 58 58 g g NN A34005 58 59 elements element NNS A34005 58 60 ) ) -RRB- A34005 58 61 . . . A34005 59 1 Keying keying NN A34005 59 2 and and CC A34005 59 3 markup markup NN A34005 59 4 guidelines guideline NNS A34005 59 5 are be VBP A34005 59 6 available available JJ A34005 59 7 at at IN A34005 59 8 the the DT A34005 59 9 Text Text NNP A34005 59 10 Creation Creation NNP A34005 59 11 Partnership Partnership NNP A34005 59 12 web web NN A34005 59 13 site site NN A34005 59 14 . . . A34005 60 1 eng eng NNP A34005 60 2 Mathematical mathematical JJ A34005 60 3 instruments instrument NNS A34005 60 4 -- -- : A34005 60 5 Early early RB A34005 60 6 works work NNS A34005 60 7 to to IN A34005 60 8 1800 1800 CD A34005 60 9 . . . A34005 61 1 Astronomy Astronomy NNP A34005 61 2 -- -- : A34005 61 3 Early early RB A34005 61 4 works work NNS A34005 61 5 to to IN A34005 61 6 1800 1800 CD A34005 61 7 . . . A34005 62 1 Navigation Navigation NNP A34005 62 2 -- -- : A34005 62 3 Early early RB A34005 62 4 works work NNS A34005 62 5 to to IN A34005 62 6 1800 1800 CD A34005 62 7 . . . A34005 63 1 Dialing dialing NN A34005 63 2 -- -- : A34005 63 3 Early early RB A34005 63 4 works work NNS A34005 63 5 to to IN A34005 63 6 1800 1800 CD A34005 63 7 . . . A34005 64 1 2005 2005 CD A34005 64 2 - - SYM A34005 64 3 07 07 CD A34005 64 4 TCP TCP NNP A34005 64 5 Assigned assign VBN A34005 64 6 for for IN A34005 64 7 keying keying NN A34005 64 8 and and CC A34005 64 9 markup markup NNP A34005 64 10 2006 2006 CD A34005 64 11 - - SYM A34005 64 12 03 03 CD A34005 64 13 SPi SPi NNS A34005 64 14 Global Global NNP A34005 64 15 Keyed Keyed NNP A34005 64 16 and and CC A34005 64 17 coded code VBN A34005 64 18 from from IN A34005 64 19 ProQuest ProQuest NNP A34005 64 20 page page NN A34005 64 21 images image NNS A34005 64 22 2006 2006 CD A34005 64 23 - - SYM A34005 64 24 06 06 CD A34005 64 25 Derek Derek NNP A34005 64 26 Lee Lee NNP A34005 64 27 Sampled Sampled NNP A34005 64 28 and and CC A34005 64 29 proofread proofread NNP A34005 64 30 2006 2006 CD A34005 64 31 - - SYM A34005 64 32 06 06 CD A34005 64 33 Derek Derek NNP A34005 64 34 Lee Lee NNP A34005 64 35 Text Text NNP A34005 64 36 and and CC A34005 64 37 markup markup NN A34005 64 38 reviewed review VBD A34005 64 39 and and CC A34005 64 40 edited edit VBD A34005 64 41 2006 2006 CD A34005 64 42 - - SYM A34005 64 43 09 09 CD A34005 64 44 pfs pfs NN A34005 64 45 Batch Batch NNP A34005 64 46 review review NN A34005 64 47 ( ( -LRB- A34005 64 48 QC QC NNP A34005 64 49 ) ) -RRB- A34005 64 50 and and CC A34005 64 51 XML xml NN A34005 64 52 conversion conversion NN A34005 64 53 THE the DT A34005 64 54 SECTOR SECTOR NNP A34005 64 55 ON on IN A34005 64 56 A a DT A34005 64 57 QUADRANT quadrant NN A34005 64 58 , , , A34005 64 59 OR or CC A34005 64 60 A a DT A34005 64 61 Treatise Treatise NNP A34005 64 62 containing contain VBG A34005 64 63 the the DT A34005 64 64 Description Description NNP A34005 64 65 and and CC A34005 64 66 Use Use NNP A34005 64 67 of of IN A34005 64 68 four four CD A34005 64 69 several several JJ A34005 64 70 QUADRANTS quadrant NNS A34005 64 71 ; ; : A34005 64 72 Two two CD A34005 64 73 small small JJ A34005 64 74 ones one NNS A34005 64 75 and and CC A34005 64 76 two two CD A34005 64 77 great great JJ A34005 64 78 ones one NNS A34005 64 79 , , , A34005 64 80 each each DT A34005 64 81 rendred rendre VBD A34005 64 82 many many JJ A34005 64 83 wayes waye NNS A34005 64 84 , , , A34005 64 85 both both CC A34005 64 86 general general JJ A34005 64 87 and and CC A34005 64 88 particular particular JJ A34005 64 89 . . . A34005 65 1 Each each DT A34005 65 2 of of IN A34005 65 3 them -PRON- PRP A34005 65 4 Accomodated accomodate VBD A34005 65 5 for for IN A34005 65 6 Dyalling dyalling NN A34005 65 7 ; ; : A34005 65 8 for for IN A34005 65 9 the the DT A34005 65 10 Resolving resolving NN A34005 65 11 of of IN A34005 65 12 all all DT A34005 65 13 Proportions proportion NNS A34005 65 14 Instrumentally instrumentally RB A34005 65 15 ; ; : A34005 65 16 And and CC A34005 65 17 for for IN A34005 65 18 the the DT A34005 65 19 ready ready JJ A34005 65 20 finding find VBG A34005 65 21 the the DT A34005 65 22 Hour Hour NNP A34005 65 23 and and CC A34005 65 24 Azimuth Azimuth NNP A34005 65 25 Universally Universally NNP A34005 65 26 in in IN A34005 65 27 the the DT A34005 65 28 equal equal JJ A34005 65 29 Limbe Limbe NNP A34005 65 30 . . . A34005 66 1 Of of IN A34005 66 2 great great JJ A34005 66 3 use use NN A34005 66 4 to to IN A34005 66 5 Seamen Seamen NNP A34005 66 6 and and CC A34005 66 7 Practitioners Practitioners NNPS A34005 66 8 in in IN A34005 66 9 the the DT A34005 66 10 MATHEMATICKS MATHEMATICKS NNP A34005 66 11 . . . A34005 67 1 Written write VBN A34005 67 2 by by IN A34005 67 3 JOHN JOHN NNP A34005 67 4 COLLINS COLLINS NNP A34005 67 5 Accountant Accountant NNP A34005 67 6 Philomath Philomath NNP A34005 67 7 . . . A34005 68 1 Also also RB A34005 68 2 an an DT A34005 68 3 Appendix Appendix NNP A34005 68 4 touching touching NN A34005 68 5 Reflected reflect VBN A34005 68 6 Dyalling dyalle VBG A34005 68 7 from from IN A34005 68 8 a a DT A34005 68 9 glass glass NN A34005 68 10 placed place VBN A34005 68 11 at at IN A34005 68 12 any any DT A34005 68 13 Reclination Reclination NNP A34005 68 14 . . . A34005 69 1 London London NNP A34005 69 2 , , , A34005 69 3 Printed Printed NNP A34005 69 4 by by IN A34005 69 5 J.M. J.M. NNP A34005 70 1 for for IN A34005 70 2 George George NNP A34005 70 3 Hurlock Hurlock NNP A34005 70 4 at at IN A34005 70 5 Magnus Magnus NNP A34005 70 6 Corner Corner NNP A34005 70 7 , , , A34005 70 8 Thomas Thomas NNP A34005 70 9 Pierrepont Pierrepont NNP A34005 70 10 , , , A34005 70 11 at at IN A34005 70 12 the the DT A34005 70 13 Sun Sun NNP A34005 70 14 in in IN A34005 70 15 Pauls Pauls NNP A34005 70 16 Church Church NNP A34005 70 17 - - HYPH A34005 70 18 yard yard NN A34005 70 19 ; ; : A34005 70 20 William William NNP A34005 70 21 Fisher Fisher NNP A34005 70 22 , , , A34005 70 23 at at IN A34005 70 24 the the DT A34005 70 25 Postern Postern NNP A34005 70 26 near near IN A34005 70 27 Tower Tower NNP A34005 70 28 - - HYPH A34005 70 29 Hill Hill NNP A34005 70 30 , , , A34005 70 31 Book Book NNP A34005 70 32 - - HYPH A34005 70 33 sellers seller NNS A34005 70 34 ; ; : A34005 70 35 And and CC A34005 70 36 Henry Henry NNP A34005 70 37 Sutton Sutton NNP A34005 70 38 , , , A34005 70 39 Mathematical Mathematical NNP A34005 70 40 Instrument Instrument NNP A34005 70 41 - - HYPH A34005 70 42 Maker Maker NNP A34005 70 43 , , , A34005 70 44 at at IN A34005 70 45 his -PRON- PRP$ A34005 70 46 House House NNP A34005 70 47 in in IN A34005 70 48 Thred Thred NNP A34005 70 49 - - HYPH A34005 70 50 needle needle NNP A34005 70 51 street street NN A34005 70 52 , , , A34005 70 53 behind behind IN A34005 70 54 the the DT A34005 70 55 Exchange Exchange NNP A34005 70 56 . . . A34005 71 1 With with IN A34005 71 2 Paper Paper NNP A34005 71 3 Prints Prints NNPS A34005 71 4 of of IN A34005 71 5 each each DT A34005 71 6 Quadrant quadrant JJ A34005 71 7 , , , A34005 71 8 either either CC A34005 71 9 loose loose JJ A34005 71 10 or or CC A34005 71 11 pasted paste VBN A34005 71 12 upon upon IN A34005 71 13 boards board NNS A34005 71 14 ; ; : A34005 71 15 to to TO A34005 71 16 be be VB A34005 71 17 sold sell VBN A34005 71 18 at at IN A34005 71 19 the the DT A34005 71 20 respective respective JJ A34005 71 21 places place NNS A34005 71 22 aforesaid aforesaid VBD A34005 71 23 . . . A34005 72 1 1659 1659 CD A34005 72 2 . . . A34005 73 1 To to IN A34005 73 2 the the DT A34005 73 3 Reader reader NN A34005 73 4 . . . A34005 74 1 Courteous courteous JJ A34005 74 2 Reader reader NN A34005 74 3 , , , A34005 74 4 THou THou '' A34005 74 5 hast hast JJ A34005 74 6 in in IN A34005 74 7 this this DT A34005 74 8 Treatise Treatise NNP A34005 74 9 , , , A34005 74 10 the the DT A34005 74 11 Description Description NNP A34005 74 12 and and CC A34005 74 13 Uses Uses NNPS A34005 74 14 of of IN A34005 74 15 three three CD A34005 74 16 several several JJ A34005 74 17 Quadrants quadrant NNS A34005 74 18 , , , A34005 74 19 presented present VBN A34005 74 20 to to IN A34005 74 21 thy thy PRP$ A34005 74 22 View View NNP A34005 74 23 and and CC A34005 74 24 Acceptance Acceptance NNP A34005 74 25 ; ; : A34005 74 26 and and CC A34005 74 27 here here RB A34005 74 28 I -PRON- PRP A34005 74 29 am be VBP A34005 74 30 to to TO A34005 74 31 give give VB A34005 74 32 thee thee PRP A34005 74 33 an an DT A34005 74 34 account account NN A34005 74 35 of of IN A34005 74 36 their -PRON- PRP$ A34005 74 37 Occasion Occasion NNP A34005 74 38 and and CC A34005 74 39 Original Original NNP A34005 74 40 . . . A34005 75 1 Being be VBG A34005 75 2 in in IN A34005 75 3 conference conference NN A34005 75 4 with with IN A34005 75 5 my -PRON- PRP$ A34005 75 6 loving loving JJ A34005 75 7 friend friend NN A34005 75 8 M. M. NNP A34005 75 9 Thomas Thomas NNP A34005 75 10 Harvie Harvie NNP A34005 75 11 , , , A34005 75 12 he -PRON- PRP A34005 75 13 told tell VBD A34005 75 14 me -PRON- PRP A34005 75 15 , , , A34005 75 16 that that IN A34005 75 17 he -PRON- PRP A34005 75 18 had have VBD A34005 75 19 often often RB A34005 75 20 drawn draw VBN A34005 75 21 a a DT A34005 75 22 Quadrant Quadrant NNP A34005 75 23 upon upon IN A34005 75 24 Paper Paper NNP A34005 75 25 pastboard pastboard NN A34005 75 26 , , , A34005 75 27 & & CC A34005 75 28 c. c. NNP A34005 75 29 derived derive VBN A34005 75 30 by by IN A34005 75 31 himself -PRON- PRP A34005 75 32 , , , A34005 75 33 and and CC A34005 75 34 never never RB A34005 75 35 done do VBN A34005 75 36 by by IN A34005 75 37 any any DT A34005 75 38 man man NN A34005 75 39 before before RB A34005 75 40 , , , A34005 75 41 as as IN A34005 75 42 to to IN A34005 75 43 his -PRON- PRP$ A34005 75 44 knowledge knowledge NN A34005 75 45 , , , A34005 75 46 from from IN A34005 75 47 the the DT A34005 75 48 Stereographick Stereographick NNP A34005 75 49 Projection Projection NNP A34005 75 50 , , , A34005 75 51 which which WDT A34005 75 52 for for IN A34005 75 53 a a DT A34005 75 54 particular particular JJ A34005 75 55 Latitude Latitude NNP A34005 75 56 , , , A34005 75 57 would would MD A34005 75 58 give give VB A34005 75 59 the the DT A34005 75 60 Hour hour NN A34005 75 61 in in IN A34005 75 62 the the DT A34005 75 63 equal equal JJ A34005 75 64 Limb Limb NNP A34005 75 65 , , , A34005 75 66 and and CC A34005 75 67 would would MD A34005 75 68 also also RB A34005 75 69 perform perform VB A34005 75 70 the the DT A34005 75 71 Azimuth Azimuth NNP A34005 75 72 very very RB A34005 75 73 well well RB A34005 75 74 ; ; : A34005 75 75 and and CC A34005 75 76 but but CC A34005 75 77 that that IN A34005 75 78 it -PRON- PRP A34005 75 79 was be VBD A34005 75 80 so so RB A34005 75 81 particular particular JJ A34005 75 82 , , , A34005 75 83 was be VBD A34005 75 84 very very RB A34005 75 85 desirous desirous JJ A34005 75 86 to to TO A34005 75 87 have have VB A34005 75 88 one one CD A34005 75 89 made make VBN A34005 75 90 in in IN A34005 75 91 Brass Brass NNP A34005 75 92 for for IN A34005 75 93 his -PRON- PRP$ A34005 75 94 own own JJ A34005 75 95 use use NN A34005 75 96 by by IN A34005 75 97 an an DT A34005 75 98 Instrument Instrument NNP A34005 75 99 Maker maker NN A34005 75 100 : : : A34005 75 101 whereto whereto NN A34005 75 102 replying replying NN A34005 75 103 , , , A34005 75 104 that that IN A34005 75 105 with with IN A34005 75 106 the the DT A34005 75 107 access access NN A34005 75 108 of of IN A34005 75 109 some some DT A34005 75 110 other other JJ A34005 75 111 Lines line NNS A34005 75 112 to to TO A34005 75 113 be be VB A34005 75 114 used use VBN A34005 75 115 with with IN A34005 75 116 Compasses compass NNS A34005 75 117 , , , A34005 75 118 it -PRON- PRP A34005 75 119 might may MD A34005 75 120 be be VB A34005 75 121 rendred rendre VBN A34005 75 122 general general JJ A34005 75 123 for for IN A34005 75 124 finding find VBG A34005 75 125 both both CC A34005 75 126 the the DT A34005 75 127 Hour Hour NNP A34005 75 128 and and CC A34005 75 129 the the DT A34005 75 130 Azimuth Azimuth NNP A34005 75 131 in in IN A34005 75 132 the the DT A34005 75 133 equal equal JJ A34005 75 134 Limb Limb NNP A34005 75 135 : : : A34005 75 136 He -PRON- PRP A34005 75 137 thereupon thereupon RB A34005 75 138 intimated intimate VBD A34005 75 139 his -PRON- PRP$ A34005 75 140 desires desire NNS A34005 75 141 to to IN A34005 75 142 M. M. NNP A34005 75 143 Sutton Sutton NNP A34005 75 144 , , , A34005 75 145 promising promise VBG A34005 75 146 within within IN A34005 75 147 a a DT A34005 75 148 fortnight fortnight NN A34005 75 149 after after IN A34005 75 150 their -PRON- PRP$ A34005 75 151 conference conference NN A34005 75 152 , , , A34005 75 153 to to TO A34005 75 154 draw draw VB A34005 75 155 up up RP A34005 75 156 full full JJ A34005 75 157 directions direction NNS A34005 75 158 for for IN A34005 75 159 the the DT A34005 75 160 making making NN A34005 75 161 thereof thereof RB A34005 75 162 . . . A34005 76 1 But but CC A34005 76 2 M. M. NNP A34005 76 3 Sutton Sutton NNP A34005 76 4 having have VBG A34005 76 5 very very RB A34005 76 6 good good JJ A34005 76 7 practise practise NN A34005 76 8 and and CC A34005 76 9 experience experience NN A34005 76 10 in in IN A34005 76 11 drawing draw VBG A34005 76 12 Projections Projections NNPS A34005 76 13 , , , A34005 76 14 speedily speedily RB A34005 76 15 found find VBD A34005 76 16 out out RP A34005 76 17 the the DT A34005 76 18 drawing drawing NN A34005 76 19 of of IN A34005 76 20 that that DT A34005 76 21 Projection Projection NNP A34005 76 22 , , , A34005 76 23 either either CC A34005 76 24 in in IN A34005 76 25 a a DT A34005 76 26 Quadrant Quadrant NNP A34005 76 27 or or CC A34005 76 28 a a DT A34005 76 29 Semicircle Semicircle NNP A34005 76 30 , , , A34005 76 31 without without IN A34005 76 32 the the DT A34005 76 33 assistance assistance NN A34005 76 34 of of IN A34005 76 35 the the DT A34005 76 36 promised promise VBN A34005 76 37 directions direction NNS A34005 76 38 , , , A34005 76 39 and and CC A34005 76 40 accordingly accordingly RB A34005 76 41 , , , A34005 76 42 hath hath NNP A34005 76 43 drawn draw VBD A34005 76 44 the the DT A34005 76 45 shape shape NN A34005 76 46 of of IN A34005 76 47 it -PRON- PRP A34005 76 48 for for IN A34005 76 49 all all DT A34005 76 50 Latitudes Latitudes NNPS A34005 76 51 , , , A34005 76 52 and and CC A34005 76 53 also also RB A34005 76 54 found find VBD A34005 76 55 how how WRB A34005 76 56 the the DT A34005 76 57 Horizontal Horizontal NNP A34005 76 58 Projection Projection NNP A34005 76 59 might may MD A34005 76 60 be be VB A34005 76 61 inverted invert VBN A34005 76 62 and and CC A34005 76 63 contrived contrive VBN A34005 76 64 into into IN A34005 76 65 a a DT A34005 76 66 Quadrant Quadrant NNP A34005 76 67 without without IN A34005 76 68 any any DT A34005 76 69 confusion confusion NN A34005 76 70 , , , A34005 76 71 by by IN A34005 76 72 reason reason NN A34005 76 73 of of IN A34005 76 74 a a DT A34005 76 75 reverted reverted JJ A34005 76 76 tail tail NN A34005 76 77 , , , A34005 76 78 and and CC A34005 76 79 let let VB A34005 76 80 me -PRON- PRP A34005 76 81 further further RB A34005 76 82 add add VB A34005 76 83 , , , A34005 76 84 that that IN A34005 76 85 he -PRON- PRP A34005 76 86 hath hath NN A34005 76 87 taken take VBN A34005 76 88 much much JJ A34005 76 89 pains pain NNS A34005 76 90 in in IN A34005 76 91 calculating calculate VBG A34005 76 92 Tables Tables NNPS A34005 76 93 for for IN A34005 76 94 the the DT A34005 76 95 accurate accurate JJ A34005 76 96 making making NN A34005 76 97 of of IN A34005 76 98 these these DT A34005 76 99 and and CC A34005 76 100 other other JJ A34005 76 101 Instruments Instruments NNPS A34005 76 102 , , , A34005 76 103 in in IN A34005 76 104 their -PRON- PRP$ A34005 76 105 construction construction NN A34005 76 106 more more RBR A34005 76 107 difficult difficult JJ A34005 76 108 then then RB A34005 76 109 any any DT A34005 76 110 that that WDT A34005 76 111 ever ever RB A34005 76 112 were be VBD A34005 76 113 before before RB A34005 76 114 ; ; : A34005 76 115 and and CC A34005 76 116 the the DT A34005 76 117 said say VBD A34005 76 118 M. M. NNP A34005 76 119 Sutton Sutton NNP A34005 76 120 conceiving conceive VBG A34005 76 121 that that IN A34005 76 122 it -PRON- PRP A34005 76 123 would would MD A34005 76 124 be be VB A34005 76 125 an an DT A34005 76 126 advancement advancement NN A34005 76 127 to to IN A34005 76 128 their -PRON- PRP$ A34005 76 129 Trade Trade NNP A34005 76 130 in in IN A34005 76 131 general general JJ A34005 76 132 , , , A34005 76 133 besides besides IN A34005 76 134 satisfactory satisfactory JJ A34005 76 135 to to IN A34005 76 136 the the DT A34005 76 137 desires desire NNS A34005 76 138 of of IN A34005 76 139 the the DT A34005 76 140 studious studious JJ A34005 76 141 in in IN A34005 76 142 the the DT A34005 76 143 Mathematiques Mathematiques NNPS A34005 76 144 , , , A34005 76 145 to to TO A34005 76 146 have have VB A34005 76 147 the the DT A34005 76 148 uses use NNS A34005 76 149 of of IN A34005 76 150 a a DT A34005 76 151 good good JJ A34005 76 152 Quadrant Quadrant NNP A34005 76 153 published publish VBN A34005 76 154 , , , A34005 76 155 prevailed prevail VBD A34005 76 156 with with IN A34005 76 157 me -PRON- PRP A34005 76 158 , , , A34005 76 159 in in IN A34005 76 160 regard regard NN A34005 76 161 M. M. NNP A34005 76 162 Harvey Harvey NNP A34005 76 163 was be VBD A34005 76 164 not not RB A34005 76 165 at at IN A34005 76 166 leisure leisure NN A34005 76 167 ( ( -LRB- A34005 76 168 though though IN A34005 76 169 willing will VBG A34005 76 170 his -PRON- PRP$ A34005 76 171 Quadrant Quadrant NNP A34005 76 172 should should MD A34005 76 173 be be VB A34005 76 174 made make VBN A34005 76 175 publique publique NN A34005 76 176 ) ) -RRB- A34005 76 177 to to TO A34005 76 178 write write VB A34005 76 179 two two CD A34005 76 180 or or CC A34005 76 181 three three CD A34005 76 182 sheets sheet NNS A34005 76 183 of of IN A34005 76 184 the the DT A34005 76 185 use use NN A34005 76 186 of of IN A34005 76 187 it -PRON- PRP A34005 76 188 , , , A34005 76 189 which which WDT A34005 76 190 I -PRON- PRP A34005 76 191 intended intend VBD A34005 76 192 to to TO A34005 76 193 have have VB A34005 76 194 given give VBN A34005 76 195 M. M. NNP A34005 76 196 Sutton Sutton NNP A34005 76 197 ( ( -LRB- A34005 76 198 who who WP A34005 76 199 very very RB A34005 76 200 well well RB A34005 76 201 understood understand VBD A34005 76 202 the the DT A34005 76 203 use use NN A34005 76 204 as as RB A34005 76 205 well well RB A34005 76 206 as as IN A34005 76 207 the the DT A34005 76 208 making making NN A34005 76 209 ) ) -RRB- A34005 76 210 to to TO A34005 76 211 be be VB A34005 76 212 published publish VBN A34005 76 213 in in IN A34005 76 214 his -PRON- PRP$ A34005 76 215 own own JJ A34005 76 216 name name NN A34005 76 217 ; ; : A34005 76 218 whereto whereto NN A34005 76 219 he -PRON- PRP A34005 76 220 being be VBG A34005 76 221 unwilling unwilling JJ A34005 76 222 , , , A34005 76 223 and and CC A34005 76 224 finding find VBG A34005 76 225 that that IN A34005 76 226 therein therein RB A34005 76 227 many many JJ A34005 76 228 of of IN A34005 76 229 the the DT A34005 76 230 uses use NNS A34005 76 231 of of IN A34005 76 232 one one CD A34005 76 233 Quadrant Quadrant NNP A34005 76 234 , , , A34005 76 235 much much RB A34005 76 236 less less JJR A34005 76 237 of of IN A34005 76 238 more more JJR A34005 76 239 could could MD A34005 76 240 not not RB A34005 76 241 be be VB A34005 76 242 comprized comprize VBN A34005 76 243 , , , A34005 76 244 at at IN A34005 76 245 his -PRON- PRP$ A34005 76 246 earnest earnest JJ A34005 76 247 request request NN A34005 76 248 , , , A34005 76 249 I -PRON- PRP A34005 76 250 wrote write VBD A34005 76 251 what what WP A34005 76 252 is be VBZ A34005 76 253 here here RB A34005 76 254 digested digest VBN A34005 76 255 , , , A34005 76 256 succisivè succisivè NNP A34005 76 257 & & CC A34005 76 258 horis horis NNP A34005 76 259 Antelucanis Antelucanis NNP A34005 76 260 , , , A34005 76 261 having have VBG A34005 76 262 little little JJ A34005 76 263 leisure leisure NN A34005 76 264 for for IN A34005 76 265 that that DT A34005 76 266 purpose purpose NN A34005 76 267 , , , A34005 76 268 and and CC A34005 76 269 all all PDT A34005 76 270 this this DT A34005 76 271 performed perform VBN A34005 76 272 before before IN A34005 76 273 the the DT A34005 76 274 Instruments Instruments NNPS A34005 76 275 were be VBD A34005 76 276 cut cut VBN A34005 76 277 , , , A34005 76 278 wherefore wherefore VBD A34005 76 279 the the DT A34005 76 280 description description NN A34005 76 281 given give VBN A34005 76 282 of of IN A34005 76 283 them -PRON- PRP A34005 76 284 , , , A34005 76 285 may may MD A34005 76 286 not not RB A34005 76 287 so so RB A34005 76 288 nearly nearly RB A34005 76 289 agree agree VB A34005 76 290 with with IN A34005 76 291 the the DT A34005 76 292 Instruments Instruments NNPS A34005 76 293 , , , A34005 76 294 as as IN A34005 76 295 if if IN A34005 76 296 they -PRON- PRP A34005 76 297 had have VBD A34005 76 298 been be VBN A34005 76 299 first first RB A34005 76 300 made make VBN A34005 76 301 , , , A34005 76 302 nor nor CC A34005 76 303 possibly possibly RB A34005 76 304 some some DT A34005 76 305 of of IN A34005 76 306 the the DT A34005 76 307 examples example NNS A34005 76 308 about about IN A34005 76 309 finding find VBG A34005 76 310 the the DT A34005 76 311 hour hour NN A34005 76 312 of of IN A34005 76 313 the the DT A34005 76 314 night night NN A34005 76 315 by by IN A34005 76 316 the the DT A34005 76 317 Stars star NNS A34005 76 318 ; ; : A34005 76 319 which which WDT A34005 76 320 examples example NNS A34005 76 321 were be VBD A34005 76 322 fitted fit VBN A34005 76 323 from from IN A34005 76 324 Tables table NNS A34005 76 325 of of IN A34005 76 326 present present JJ A34005 76 327 right right JJ A34005 76 328 Ascension ascension NN A34005 76 329 , , , A34005 76 330 whereas whereas IN A34005 76 331 the the DT A34005 76 332 Quadrant Quadrant NNP A34005 76 333 is be VBZ A34005 76 334 fitted fit VBN A34005 76 335 to to TO A34005 76 336 serve serve VB A34005 76 337 the the DT A34005 76 338 better well JJR A34005 76 339 for for IN A34005 76 340 the the DT A34005 76 341 future future NN A34005 76 342 , , , A34005 76 343 the the DT A34005 76 344 difference difference NN A34005 76 345 notwithstanding notwithstanding RB A34005 76 346 will will MD A34005 76 347 be be VB A34005 76 348 but but CC A34005 76 349 small small JJ A34005 76 350 . . . A34005 77 1 And and CC A34005 77 2 thus thus RB A34005 77 3 hoping hope VBG A34005 77 4 thou thou NNP A34005 77 5 wilt wilt NNP A34005 77 6 cover cover VB A34005 77 7 my -PRON- PRP$ A34005 77 8 failings failing NNS A34005 77 9 with with IN A34005 77 10 the the DT A34005 77 11 mantle mantle NN A34005 77 12 of of IN A34005 77 13 love love NN A34005 77 14 , , , A34005 77 15 and and CC A34005 77 16 kindly kindly RB A34005 77 17 accept accept VB A34005 77 18 of of IN A34005 77 19 my -PRON- PRP$ A34005 77 20 endeavours endeavour NNS A34005 77 21 , , , A34005 77 22 tending tend VBG A34005 77 23 to to IN A34005 77 24 the the DT A34005 77 25 publique publique NN A34005 77 26 advancement advancement NN A34005 77 27 and and CC A34005 77 28 increase increase NN A34005 77 29 of of IN A34005 77 30 knowledge knowledge NN A34005 77 31 , , , A34005 77 32 I -PRON- PRP A34005 77 33 still still RB A34005 77 34 remain remain VBP A34005 77 35 a a DT A34005 77 36 Wellwiller Wellwiller NNP A34005 77 37 desirous desirous JJ A34005 77 38 thereof thereof RB A34005 77 39 . . . A34005 78 1 John John NNP A34005 78 2 Collins Collins NNP A34005 78 3 . . . A34005 79 1 depiction depiction NN A34005 79 2 of of IN A34005 79 3 a a DT A34005 79 4 quadrant quadrant NN A34005 79 5 How how WRB A34005 79 6 the the DT A34005 79 7 Projections Projections NNPS A34005 79 8 on on IN A34005 79 9 both both CC A34005 79 10 the the DT A34005 79 11 Quadrants Quadrants NNPS A34005 79 12 may may MD A34005 79 13 be be VB A34005 79 14 Demonstrated demonstrate VBN A34005 79 15 . . . A34005 80 1 TO to TO A34005 80 2 satisfie satisfie VB A34005 80 3 the the DT A34005 80 4 inquisitive inquisitive JJ A34005 80 5 Reader Reader NNP A34005 80 6 herein herein NN A34005 80 7 , , , A34005 80 8 I -PRON- PRP A34005 80 9 shall shall MD A34005 80 10 only only RB A34005 80 11 in in IN A34005 80 12 this this DT A34005 80 13 Edition Edition NNP A34005 80 14 quote quote VB A34005 80 15 such such JJ A34005 80 16 Latine Latine NNP A34005 80 17 Authors Authors NNPS A34005 80 18 and and CC A34005 80 19 Propositions Propositions NNPS A34005 80 20 as as IN A34005 80 21 will will MD A34005 80 22 evince evince VB A34005 80 23 the the DT A34005 80 24 truth truth NN A34005 80 25 thereof thereof RB A34005 80 26 , , , A34005 80 27 the the DT A34005 80 28 performance performance NN A34005 80 29 whereof whereof NNP A34005 80 30 in in IN A34005 80 31 English English NNP A34005 80 32 , , , A34005 80 33 is be VBZ A34005 80 34 hereafter hereafter RB A34005 80 35 intended intend VBN A34005 80 36 by by IN A34005 80 37 my -PRON- PRP$ A34005 80 38 loving loving JJ A34005 80 39 friend friend NN A34005 80 40 M. M. NNP A34005 80 41 Thomas Thomas NNP A34005 80 42 Harvie Harvie NNP A34005 80 43 , , , A34005 80 44 in in IN A34005 80 45 an an DT A34005 80 46 elaborate elaborate JJ A34005 80 47 Treatise Treatise NNP A34005 80 48 , , , A34005 80 49 concerning concern VBG A34005 80 50 all all PDT A34005 80 51 the the DT A34005 80 52 Projections Projections NNPS A34005 80 53 , , , A34005 80 54 with with IN A34005 80 55 their -PRON- PRP$ A34005 80 56 Demonstration Demonstration NNP A34005 80 57 and and CC A34005 80 58 Application Application NNP A34005 80 59 , , , A34005 80 60 who who WP A34005 80 61 is be VBZ A34005 80 62 accomplished accomplish VBN A34005 80 63 with with IN A34005 80 64 singular singular JJ A34005 80 65 knowledge knowledge NN A34005 80 66 in in IN A34005 80 67 that that DT A34005 80 68 kind kind NN A34005 80 69 , , , A34005 80 70 as as IN A34005 80 71 in in IN A34005 80 72 general general JJ A34005 80 73 in in IN A34005 80 74 the the DT A34005 80 75 Mathematiques Mathematiques NNPS A34005 80 76 . . . A34005 81 1 Now now RB A34005 81 2 the the DT A34005 81 3 Demonstration demonstration NN A34005 81 4 of of IN A34005 81 5 these these DT A34005 81 6 two two CD A34005 81 7 Projections Projections NNPS A34005 81 8 is be VBZ A34005 81 9 as as RB A34005 81 10 much much RB A34005 81 11 included include VBN A34005 81 12 in in IN A34005 81 13 the the DT A34005 81 14 Demonstration Demonstration NNP A34005 81 15 of of IN A34005 81 16 the the DT A34005 81 17 Stereographick Stereographick NNP A34005 81 18 Projection Projection NNP A34005 81 19 , , , A34005 81 20 which which WDT A34005 81 21 by by IN A34005 81 22 Aguilonius Aguilonius NNP A34005 81 23 in in IN A34005 81 24 his -PRON- PRP$ A34005 81 25 6 6 CD A34005 81 26 Book Book NNP A34005 81 27 is be VBZ A34005 81 28 largely largely RB A34005 81 29 insisted insist VBN A34005 81 30 upon upon IN A34005 81 31 , , , A34005 81 32 as as IN A34005 81 33 a a DT A34005 81 34 peculiar peculiar JJ A34005 81 35 question question NN A34005 81 36 in in IN A34005 81 37 Trigonometry Trigonometry NNP A34005 81 38 , , , A34005 81 39 is be VBZ A34005 81 40 included include VBN A34005 81 41 in in IN A34005 81 42 a a DT A34005 81 43 general general JJ A34005 81 44 Case Case NNP A34005 81 45 , , , A34005 81 46 and and CC A34005 81 47 both both CC A34005 81 48 the the DT A34005 81 49 Projections Projections NNPS A34005 81 50 on on IN A34005 81 51 these these DT A34005 81 52 Quadrants quadrant NNS A34005 81 53 being be VBG A34005 81 54 derived derive VBN A34005 81 55 from from IN A34005 81 56 the the DT A34005 81 57 grounds ground NNS A34005 81 58 of of IN A34005 81 59 the the DT A34005 81 60 said say VBN A34005 81 61 general general JJ A34005 81 62 Projection Projection NNP A34005 81 63 , , , A34005 81 64 are be VBP A34005 81 65 necessarily necessarily RB A34005 81 66 involved involve VBN A34005 81 67 in in IN A34005 81 68 one one CD A34005 81 69 and and CC A34005 81 70 the the DT A34005 81 71 same same JJ A34005 81 72 Demonstration demonstration NN A34005 81 73 . . . A34005 82 1 Stofler stofler NN A34005 82 2 in in IN A34005 82 3 his -PRON- PRP$ A34005 82 4 Astrolabe Astrolabe NNP A34005 82 5 supposeth supposeth VBZ A34005 82 6 the the DT A34005 82 7 eye eye NN A34005 82 8 in in IN A34005 82 9 the the DT A34005 82 10 South South NNP A34005 82 11 Pole Pole NNP A34005 82 12 Stereographically Stereographically NNP A34005 82 13 projecting project VBG A34005 82 14 upon upon IN A34005 82 15 the the DT A34005 82 16 Plain Plain NNP A34005 82 17 of of IN A34005 82 18 the the DT A34005 82 19 Equator equator NN A34005 82 20 those those DT A34005 82 21 Circles circle NNS A34005 82 22 between between IN A34005 82 23 the the DT A34005 82 24 North North NNP A34005 82 25 Pole Pole NNP A34005 82 26 Horizon Horizon NNP A34005 82 27 and and CC A34005 82 28 Troprick Troprick NNP A34005 82 29 of of IN A34005 82 30 Capricorn Capricorn NNP A34005 82 31 , , , A34005 82 32 neglecting neglect VBG A34005 82 33 that that DT A34005 82 34 part part NN A34005 82 35 under under IN A34005 82 36 the the DT A34005 82 37 Horizon Horizon NNP A34005 82 38 . . . A34005 83 1 But but CC A34005 83 2 the the DT A34005 83 3 Projection Projection NNP A34005 83 4 on on IN A34005 83 5 the the DT A34005 83 6 Quadrant Quadrant NNP A34005 83 7 , , , A34005 83 8 considered consider VBN A34005 83 9 as as IN A34005 83 10 it -PRON- PRP A34005 83 11 may may MD A34005 83 12 be be VB A34005 83 13 derived derive VBN A34005 83 14 from from IN A34005 83 15 his -PRON- PRP$ A34005 83 16 Astrolabe Astrolabe NNP A34005 83 17 , , , A34005 83 18 supposeth supposeth VBZ A34005 83 19 the the DT A34005 83 20 eye eye NN A34005 83 21 in in IN A34005 83 22 the the DT A34005 83 23 same same JJ A34005 83 24 Position position NN A34005 83 25 , , , A34005 83 26 and and CC A34005 83 27 makes make VBZ A34005 83 28 use use NN A34005 83 29 of of IN A34005 83 30 one one CD A34005 83 31 half half NN A34005 83 32 of of IN A34005 83 33 the the DT A34005 83 34 Projection Projection NNP A34005 83 35 of of IN A34005 83 36 the the DT A34005 83 37 other other JJ A34005 83 38 part part NN A34005 83 39 of of IN A34005 83 40 the the DT A34005 83 41 Circles Circles NNP A34005 83 42 intercepted intercept VBN A34005 83 43 between between IN A34005 83 44 the the DT A34005 83 45 Horizon Horizon NNP A34005 83 46 and and CC A34005 83 47 Tropick Tropick NNP A34005 83 48 of of IN A34005 83 49 Capricorn Capricorn NNP A34005 83 50 , , , A34005 83 51 namely namely RB A34005 83 52 , , , A34005 83 53 of of IN A34005 83 54 that that DT A34005 83 55 space space NN A34005 83 56 between between IN A34005 83 57 the the DT A34005 83 58 Tropick Tropick NNP A34005 83 59 below below IN A34005 83 60 our -PRON- PRP$ A34005 83 61 Horizon Horizon NNP A34005 83 62 , , , A34005 83 63 only only RB A34005 83 64 changing change VBG A34005 83 65 the the DT A34005 83 66 names name NNS A34005 83 67 of of IN A34005 83 68 Cancer Cancer NNP A34005 83 69 for for IN A34005 83 70 Capricorn Capricorn NNP A34005 83 71 in in IN A34005 83 72 their -PRON- PRP$ A34005 83 73 use use NN A34005 83 74 , , , A34005 83 75 and and CC A34005 83 76 using use VBG A34005 83 77 the the DT A34005 83 78 depressed depressed JJ A34005 83 79 Parallels Parallels NNPS A34005 83 80 to to IN A34005 83 81 the the DT A34005 83 82 Horizon Horizon NNP A34005 83 83 , , , A34005 83 84 instead instead RB A34005 83 85 of of IN A34005 83 86 the the DT A34005 83 87 Parallels Parallels NNPS A34005 83 88 of of IN A34005 83 89 Altitude Altitude NNP A34005 83 90 ; ; : A34005 83 91 so so IN A34005 83 92 that that IN A34005 83 93 the the DT A34005 83 94 Azimuths azimuth NNS A34005 83 95 of of IN A34005 83 96 the the DT A34005 83 97 Quadrant Quadrant NNP A34005 83 98 made make VBN A34005 83 99 by by IN A34005 83 100 this this DT A34005 83 101 inversion inversion NN A34005 83 102 , , , A34005 83 103 are be VBP A34005 83 104 no no DT A34005 83 105 other other JJ A34005 83 106 then then RB A34005 83 107 the the DT A34005 83 108 Azimuths Azimuths NNPS A34005 83 109 of of IN A34005 83 110 Stoflers Stoflers NNPS A34005 83 111 Projection Projection NNP A34005 83 112 continued continue VBD A34005 83 113 below below IN A34005 83 114 the the DT A34005 83 115 Tropick Tropick NNP A34005 83 116 of of IN A34005 83 117 Capricorn Capricorn NNP A34005 83 118 where where WRB A34005 83 119 he -PRON- PRP A34005 83 120 breaks break VBZ A34005 83 121 them -PRON- PRP A34005 83 122 off off RP A34005 83 123 , , , A34005 83 124 and and CC A34005 83 125 the the DT A34005 83 126 rule rule NN A34005 83 127 he -PRON- PRP A34005 83 128 prescribes prescribe VBZ A34005 83 129 to to TO A34005 83 130 draw draw VB A34005 83 131 the the DT A34005 83 132 parallel parallel NN A34005 83 133 of of IN A34005 83 134 18d 18d NNS A34005 83 135 of of IN A34005 83 136 Depression depression NN A34005 83 137 for for IN A34005 83 138 the the DT A34005 83 139 Twylight Twylight NNP A34005 83 140 serves serve VBZ A34005 83 141 to to TO A34005 83 142 draw draw VB A34005 83 143 that that DT A34005 83 144 , , , A34005 83 145 and and CC A34005 83 146 all all PDT A34005 83 147 the the DT A34005 83 148 other other JJ A34005 83 149 parallels parallel NNS A34005 83 150 of of IN A34005 83 151 Altitude altitude NN A34005 83 152 in in IN A34005 83 153 this this DT A34005 83 154 Quadrant Quadrant NNP A34005 83 155 . . . A34005 84 1 In in IN A34005 84 2 like like IN A34005 84 3 manner manner NN A34005 84 4 the the DT A34005 84 5 Horizontal Horizontal NNP A34005 84 6 Projection Projection NNP A34005 84 7 supposeth supposeth VBP A34005 84 8 the the DT A34005 84 9 eye eye NN A34005 84 10 in in IN A34005 84 11 the the DT A34005 84 12 Nadir Nadir NNP A34005 84 13 projecting projecting NN A34005 84 14 upon upon IN A34005 84 15 the the DT A34005 84 16 Plain Plain NNP A34005 84 17 of of IN A34005 84 18 the the DT A34005 84 19 Horizon Horizon NNP A34005 84 20 . . . A34005 85 1 That that DT A34005 85 2 part part NN A34005 85 3 of of IN A34005 85 4 the the DT A34005 85 5 Sphere Sphere NNP A34005 85 6 intercepted intercept VBN A34005 85 7 between between IN A34005 85 8 the the DT A34005 85 9 two two CD A34005 85 10 Tropicks tropick NNS A34005 85 11 , , , A34005 85 12 neglecting neglect VBG A34005 85 13 that that DT A34005 85 14 part part NN A34005 85 15 thereof thereof RB A34005 85 16 under under IN A34005 85 17 the the DT A34005 85 18 Horizon Horizon NNP A34005 85 19 . . . A34005 86 1 But but CC A34005 86 2 the the DT A34005 86 3 Projection Projection NNP A34005 86 4 on on IN A34005 86 5 the the DT A34005 86 6 other other JJ A34005 86 7 great great JJ A34005 86 8 Quadrant Quadrant NNP A34005 86 9 , , , A34005 86 10 considered consider VBN A34005 86 11 as as IN A34005 86 12 derived derive VBN A34005 86 13 therefrom therefrom NN A34005 86 14 , , , A34005 86 15 supposeth supposeth NNP A34005 86 16 the the DT A34005 86 17 eye eye NN A34005 86 18 there there RB A34005 86 19 projecting project VBG A34005 86 20 that that DT A34005 86 21 part part NN A34005 86 22 of of IN A34005 86 23 the the DT A34005 86 24 Sphere Sphere NNP A34005 86 25 which which WDT A34005 86 26 is be VBZ A34005 86 27 there there RB A34005 86 28 neglected neglect VBN A34005 86 29 with with IN A34005 86 30 the the DT A34005 86 31 like like JJ A34005 86 32 change change NN A34005 86 33 of of IN A34005 86 34 denomination denomination NN A34005 86 35 ; ; , A34005 86 36 and and CC A34005 86 37 the the DT A34005 86 38 Parallels Parallels NNPS A34005 86 39 of of IN A34005 86 40 Declination Declination NNP A34005 86 41 are be VBP A34005 86 42 no no DT A34005 86 43 other other JJ A34005 86 44 then then RB A34005 86 45 the the DT A34005 86 46 continuance continuance NN A34005 86 47 of of IN A34005 86 48 the the DT A34005 86 49 said say VBN A34005 86 50 Parallels Parallels NNPS A34005 86 51 of of IN A34005 86 52 the the DT A34005 86 53 Horizontal Horizontal NNP A34005 86 54 Projection Projection NNP A34005 86 55 round round RB A34005 86 56 to to IN A34005 86 57 the the DT A34005 86 58 Midnight Midnight NNP A34005 86 59 Meridian Meridian NNP A34005 86 60 , , , A34005 86 61 and and CC A34005 86 62 the the DT A34005 86 63 Hour Hour NNP A34005 86 64 circles circle VBZ A34005 86 65 the the DT A34005 86 66 continuance continuance NN A34005 86 67 of of IN A34005 86 68 the the DT A34005 86 69 said say VBN A34005 86 70 hours hour NNS A34005 86 71 , , , A34005 86 72 only only RB A34005 86 73 the the DT A34005 86 74 Index Index NNP A34005 86 75 of of IN A34005 86 76 Altitudes Altitudes NNPS A34005 86 77 is be VBZ A34005 86 78 fitted fit VBN A34005 86 79 to to IN A34005 86 80 the the DT A34005 86 81 Depressed Depressed NNP A34005 86 82 Parallels Parallels NNP A34005 86 83 of of IN A34005 86 84 the the DT A34005 86 85 Horizon Horizon NNP A34005 86 86 , , , A34005 86 87 in in IN A34005 86 88 stead stead NN A34005 86 89 of of IN A34005 86 90 the the DT A34005 86 91 Parallels Parallels NNP A34005 86 92 of of IN A34005 86 93 Altitude Altitude NNP A34005 86 94 . . . A34005 87 1 Now now RB A34005 87 2 it -PRON- PRP A34005 87 3 is be VBZ A34005 87 4 evident evident JJ A34005 87 5 , , , A34005 87 6 either either CC A34005 87 7 from from IN A34005 87 8 the the DT A34005 87 9 Sphere Sphere NNP A34005 87 10 or or CC A34005 87 11 Analemma Analemma NNP A34005 87 12 , , , A34005 87 13 that that IN A34005 87 14 that that DT A34005 87 15 part part NN A34005 87 16 of of IN A34005 87 17 either either DT A34005 87 18 of of IN A34005 87 19 these these DT A34005 87 20 Projections Projections NNPS A34005 87 21 which which WDT A34005 87 22 falls fall VBZ A34005 87 23 under under IN A34005 87 24 the the DT A34005 87 25 Horizon Horizon NNP A34005 87 26 , , , A34005 87 27 will will MD A34005 87 28 supply supply VB A34005 87 29 the the DT A34005 87 30 use use NN A34005 87 31 of of IN A34005 87 32 that that DT A34005 87 33 which which WDT A34005 87 34 hapned hapne VBD A34005 87 35 above above RB A34005 87 36 , , , A34005 87 37 admitting admit VBG A34005 87 38 only only RB A34005 87 39 a a DT A34005 87 40 change change NN A34005 87 41 of of IN A34005 87 42 denomination denomination NN A34005 87 43 ; ; , A34005 87 44 for for IN A34005 87 45 in in IN A34005 87 46 the the DT A34005 87 47 Horizontal Horizontal NNP A34005 87 48 Projection Projection NNP A34005 87 49 , , , A34005 87 50 that that IN A34005 87 51 Parallel Parallel NNP A34005 87 52 of of IN A34005 87 53 Declination Declination NNP A34005 87 54 which which WDT A34005 87 55 was be VBD A34005 87 56 called call VBN A34005 87 57 the the DT A34005 87 58 Winter Winter NNP A34005 87 59 Tropick Tropick NNP A34005 87 60 , , , A34005 87 61 being be VBG A34005 87 62 no no DT A34005 87 63 other other JJ A34005 87 64 then then RB A34005 87 65 the the DT A34005 87 66 same same JJ A34005 87 67 Circle Circle NNP A34005 87 68 continued continue VBD A34005 87 69 about about IN A34005 87 70 , , , A34005 87 71 now now RB A34005 87 72 in in IN A34005 87 73 its -PRON- PRP$ A34005 87 74 use use NN A34005 87 75 and and CC A34005 87 76 denomination denomination NN A34005 87 77 , , , A34005 87 78 becomes become VBZ A34005 87 79 the the DT A34005 87 80 Summer Summer NNP A34005 87 81 Tropick Tropick NNP A34005 87 82 ; ; : A34005 87 83 and and CC A34005 87 84 the the DT A34005 87 85 reason reason NN A34005 87 86 is be VBZ A34005 87 87 , , , A34005 87 88 because because IN A34005 87 89 what what WP A34005 87 90 ever ever RB A34005 87 91 Altitude altitude VBP A34005 87 92 the the DT A34005 87 93 Sun Sun NNP A34005 87 94 hath hath NN A34005 87 95 in in IN A34005 87 96 any any DT A34005 87 97 Sign Sign NNP A34005 87 98 upon upon IN A34005 87 99 any any DT A34005 87 100 Hour Hour NNP A34005 87 101 or or CC A34005 87 102 Azimuth Azimuth NNP A34005 87 103 reckoned reckon VBD A34005 87 104 from from IN A34005 87 105 the the DT A34005 87 106 Noon Noon NNP A34005 87 107 Meridian Meridian NNP A34005 87 108 , , , A34005 87 109 he -PRON- PRP A34005 87 110 hath hath VBD A34005 87 111 the the DT A34005 87 112 like like JJ A34005 87 113 Depression Depression NNP A34005 87 114 on on IN A34005 87 115 the the DT A34005 87 116 like like JJ A34005 87 117 Hour Hour NNP A34005 87 118 and and CC A34005 87 119 Azimuth Azimuth NNP A34005 87 120 in in IN A34005 87 121 the the DT A34005 87 122 opposite opposite JJ A34005 87 123 Signe signe NN A34005 87 124 counted count VBN A34005 87 125 from from IN A34005 87 126 the the DT A34005 87 127 Midnight Midnight NNP A34005 87 128 meridian meridian NN A34005 87 129 . . . A34005 88 1 The the DT A34005 88 2 terms term NNS A34005 88 3 of of IN A34005 88 4 Noon Noon NNP A34005 88 5 and and CC A34005 88 6 Midnight Midnight NNP A34005 88 7 Meridian Meridian NNP A34005 88 8 are be VBP A34005 88 9 afterwards afterwards RB A34005 88 10 used use VBN A34005 88 11 in in IN A34005 88 12 relation relation NN A34005 88 13 to to IN A34005 88 14 some some DT A34005 88 15 general general JJ A34005 88 16 Proportions Proportions NNPS A34005 88 17 : : : A34005 88 18 By by IN A34005 88 19 the the DT A34005 88 20 Hour Hour NNP A34005 88 21 in in IN A34005 88 22 general general JJ A34005 88 23 is be VBZ A34005 88 24 meant mean VBN A34005 88 25 the the DT A34005 88 26 Angle Angle NNP A34005 88 27 between between IN A34005 88 28 the the DT A34005 88 29 Meridian Meridian NNP A34005 88 30 of of IN A34005 88 31 the the DT A34005 88 32 Sun Sun NNP A34005 88 33 or or CC A34005 88 34 Stars Stars NNP A34005 88 35 , , , A34005 88 36 and and CC A34005 88 37 the the DT A34005 88 38 Meridian Meridian NNP A34005 88 39 of of IN A34005 88 40 the the DT A34005 88 41 place place NN A34005 88 42 : : : A34005 88 43 By by IN A34005 88 44 the the DT A34005 88 45 Hour Hour NNP A34005 88 46 counted count VBD A34005 88 47 from from IN A34005 88 48 Noon Noon NNP A34005 88 49 Meridian Meridian NNP A34005 88 50 , , , A34005 88 51 is be VBZ A34005 88 52 meant mean VBN A34005 88 53 the the DT A34005 88 54 said say VBN A34005 88 55 Angle Angle NNP A34005 88 56 counted count VBD A34005 88 57 from from IN A34005 88 58 that that DT A34005 88 59 part part NN A34005 88 60 of of IN A34005 88 61 the the DT A34005 88 62 Meridian Meridian NNP A34005 88 63 of of IN A34005 88 64 the the DT A34005 88 65 place place NN A34005 88 66 which which WDT A34005 88 67 falls fall VBZ A34005 88 68 above above IN A34005 88 69 the the DT A34005 88 70 Elevated Elevated NNP A34005 88 71 Pole Pole NNP A34005 88 72 , , , A34005 88 73 continued continue VBD A34005 88 74 towards towards IN A34005 88 75 the the DT A34005 88 76 Depressed Depressed NNP A34005 88 77 Pole Pole NNP A34005 88 78 : : : A34005 88 79 and and CC A34005 88 80 by by IN A34005 88 81 the the DT A34005 88 82 Midnight Midnight NNP A34005 88 83 Meridian Meridian NNP A34005 88 84 , , , A34005 88 85 the the DT A34005 88 86 opposite opposite JJ A34005 88 87 thereto thereto NN A34005 88 88 under under IN A34005 88 89 the the DT A34005 88 90 Elevated Elevated NNP A34005 88 91 Pole Pole NNP A34005 88 92 , , , A34005 88 93 continued continue VBD A34005 88 94 as as IN A34005 88 95 before before RB A34005 88 96 . . . A34005 89 1 By by IN A34005 89 2 the the DT A34005 89 3 Azimuth Azimuth NNP A34005 89 4 counted count VBN A34005 89 5 from from IN A34005 89 6 the the DT A34005 89 7 Midnight Midnight NNP A34005 89 8 Meridian Meridian NNP A34005 89 9 , , , A34005 89 10 is be VBZ A34005 89 11 meant mean VBN A34005 89 12 an an DT A34005 89 13 Angle angle NN A34005 89 14 at at IN A34005 89 15 the the DT A34005 89 16 Zenith Zenith NNP A34005 89 17 between between IN A34005 89 18 the the DT A34005 89 19 Suns Suns NNPS A34005 89 20 Vertical Vertical NNP A34005 89 21 or or CC A34005 89 22 Azimuthal Azimuthal NNP A34005 89 23 circle circle NN A34005 89 24 , , , A34005 89 25 and and CC A34005 89 26 the the DT A34005 89 27 Meridian Meridian NNP A34005 89 28 of of IN A34005 89 29 the the DT A34005 89 30 place place NN A34005 89 31 , , , A34005 89 32 measured measure VBN A34005 89 33 by by IN A34005 89 34 the the DT A34005 89 35 Horizon Horizon NNP A34005 89 36 , , , A34005 89 37 counted count VBN A34005 89 38 from from IN A34005 89 39 the the DT A34005 89 40 Intersection intersection NN A34005 89 41 of of IN A34005 89 42 the the DT A34005 89 43 Horizon Horizon NNP A34005 89 44 with with IN A34005 89 45 the the DT A34005 89 46 Meridian Meridian NNP A34005 89 47 under under IN A34005 89 48 the the DT A34005 89 49 Elevated Elevated NNP A34005 89 50 Pole Pole NNP A34005 89 51 ; ; : A34005 89 52 and and CC A34005 89 53 by by IN A34005 89 54 the the DT A34005 89 55 Azimuth Azimuth NNP A34005 89 56 counted count VBN A34005 89 57 from from IN A34005 89 58 the the DT A34005 89 59 Noon Noon NNP A34005 89 60 Meridian Meridian NNP A34005 89 61 , , , A34005 89 62 is be VBZ A34005 89 63 meant mean VBN A34005 89 64 the the DT A34005 89 65 Complement Complement NNP A34005 89 66 of of IN A34005 89 67 the the DT A34005 89 68 said say VBN A34005 89 69 Angle Angle NNP A34005 89 70 to to IN A34005 89 71 a a DT A34005 89 72 Semicircle Semicircle NNP A34005 89 73 , , , A34005 89 74 counted count VBN A34005 89 75 from from IN A34005 89 76 the the DT A34005 89 77 opposite opposite JJ A34005 89 78 Intersection intersection NN A34005 89 79 of of IN A34005 89 80 the the DT A34005 89 81 Horizon Horizon NNP A34005 89 82 with with IN A34005 89 83 the the DT A34005 89 84 former former JJ A34005 89 85 Meridian Meridian NNP A34005 89 86 continued continue VBD A34005 89 87 above above IN A34005 89 88 the the DT A34005 89 89 Elevated elevated JJ A34005 89 90 , , , A34005 89 91 and and CC A34005 89 92 towards towards IN A34005 89 93 the the DT A34005 89 94 Depressed Depressed NNP A34005 89 95 Pole Pole NNP A34005 89 96 , , , A34005 89 97 according accord VBG A34005 89 98 to to IN A34005 89 99 which which WDT A34005 89 100 acceptions acception NNS A34005 89 101 , , , A34005 89 102 the the DT A34005 89 103 general general JJ A34005 89 104 Proportions Proportions NNPS A34005 89 105 are be VBP A34005 89 106 fitted fit VBN A34005 89 107 for for IN A34005 89 108 finding find VBG A34005 89 109 it -PRON- PRP A34005 89 110 either either DT A34005 89 111 way way NN A34005 89 112 in in IN A34005 89 113 both both DT A34005 89 114 Hemispheres Hemispheres NNP A34005 89 115 , , , A34005 89 116 without without IN A34005 89 117 any any DT A34005 89 118 restriction restriction NN A34005 89 119 to to IN A34005 89 120 North North NNP A34005 89 121 or or CC A34005 89 122 South South NNP A34005 89 123 . . . A34005 90 1 A a DT A34005 90 2 more more RBR A34005 90 3 immediate immediate JJ A34005 90 4 account account NN A34005 90 5 of of IN A34005 90 6 these these DT A34005 90 7 Projections Projections NNPS A34005 90 8 . . . A34005 91 1 HItherto HItherto VBN A34005 91 2 we -PRON- PRP A34005 91 3 have have VBP A34005 91 4 accommodated accommodate VBN A34005 91 5 our -PRON- PRP$ A34005 91 6 Discourse Discourse NNP A34005 91 7 , , , A34005 91 8 to to TO A34005 91 9 shew shew VB A34005 91 10 how how WRB A34005 91 11 these these DT A34005 91 12 Projections projection NNS A34005 91 13 are be VBP A34005 91 14 derived derive VBN A34005 91 15 from from IN A34005 91 16 Stoflers Stoflers NNP A34005 91 17 Astrolabe Astrolabe NNP A34005 91 18 , , , A34005 91 19 and and CC A34005 91 20 from from IN A34005 91 21 the the DT A34005 91 22 Horizontal Horizontal NNP A34005 91 23 Projection Projection NNP A34005 91 24 , , , A34005 91 25 of of IN A34005 91 26 which which WDT A34005 91 27 neither neither DT A34005 91 28 Stofler Stofler NNP A34005 91 29 ( ( -LRB- A34005 91 30 as as IN A34005 91 31 to to IN A34005 91 32 my -PRON- PRP$ A34005 91 33 knowledge knowledge NN A34005 91 34 ) ) -RRB- A34005 91 35 for for IN A34005 91 36 I -PRON- PRP A34005 91 37 have have VBP A34005 91 38 only only RB A34005 91 39 seen see VBN A34005 91 40 his -PRON- PRP$ A34005 91 41 8 8 CD A34005 91 42 Book Book NNP A34005 91 43 ) ) -RRB- A34005 91 44 nor nor CC A34005 91 45 the the DT A34005 91 46 learned learn VBN A34005 91 47 M. M. NNP A34005 91 48 Oughtred Oughtred NNP A34005 91 49 , , , A34005 91 50 give give VBP A34005 91 51 no no DT A34005 91 52 peculiar peculiar JJ A34005 91 53 Demonstration demonstration NN A34005 91 54 , , , A34005 91 55 as as IN A34005 91 56 being be VBG A34005 91 57 particular particular JJ A34005 91 58 examples example NNS A34005 91 59 of of IN A34005 91 60 a a DT A34005 91 61 general general JJ A34005 91 62 case case NN A34005 91 63 , , , A34005 91 64 largely largely RB A34005 91 65 ( ( -LRB- A34005 91 66 as as IN A34005 91 67 such such JJ A34005 91 68 ) ) -RRB- A34005 91 69 insisted insist VBD A34005 91 70 on on IN A34005 91 71 ; ; : A34005 91 72 and and CC A34005 91 73 this this DT A34005 91 74 we -PRON- PRP A34005 91 75 have have VBP A34005 91 76 done do VBN A34005 91 77 for for IN A34005 91 78 the the DT A34005 91 79 accommodation accommodation NN A34005 91 80 of of IN A34005 91 81 Instrument Instrument NNP A34005 91 82 makers maker NNS A34005 91 83 , , , A34005 91 84 to to TO A34005 91 85 whom whom WP A34005 91 86 this this DT A34005 91 87 Derivation derivation NN A34005 91 88 may may MD A34005 91 89 seem seem VB A34005 91 90 most most RBS A34005 91 91 suitable suitable JJ A34005 91 92 ; ; : A34005 91 93 whereas whereas IN A34005 91 94 such such PDT A34005 91 95 a a DT A34005 91 96 deduction deduction NN A34005 91 97 is be VBZ A34005 91 98 not not RB A34005 91 99 at at RB A34005 91 100 all all RB A34005 91 101 necessary necessary JJ A34005 91 102 to to IN A34005 91 103 the the DT A34005 91 104 Demonstration Demonstration NNP A34005 91 105 of of IN A34005 91 106 the the DT A34005 91 107 Projections Projections NNPS A34005 91 108 so so RB A34005 91 109 derived derive VBD A34005 91 110 . . . A34005 92 1 For for IN A34005 92 2 in in IN A34005 92 3 the the DT A34005 92 4 Projection Projection NNP A34005 92 5 derived derive VBN A34005 92 6 from from IN A34005 92 7 the the DT A34005 92 8 Inversion Inversion NNP A34005 92 9 of of IN A34005 92 10 Stofler Stofler NNP A34005 92 11 , , , A34005 92 12 let let VB A34005 92 13 the the DT A34005 92 14 eye eye NN A34005 92 15 be be VB A34005 92 16 supposed suppose VBN A34005 92 17 to to TO A34005 92 18 be be VB A34005 92 19 placed place VBN A34005 92 20 in in IN A34005 92 21 the the DT A34005 92 22 North North NNP A34005 92 23 Pole Pole NNP A34005 92 24 , , , A34005 92 25 projecting project VBG A34005 92 26 upon upon IN A34005 92 27 the the DT A34005 92 28 Plain Plain NNP A34005 92 29 of of IN A34005 92 30 the the DT A34005 92 31 Equinoctial equinoctial JJ A34005 92 32 , , , A34005 92 33 such such JJ A34005 92 34 Circles circle NNS A34005 92 35 in in IN A34005 92 36 the the DT A34005 92 37 Sphere Sphere NNP A34005 92 38 , , , A34005 92 39 as as IN A34005 92 40 are be VBP A34005 92 41 described describe VBN A34005 92 42 in in IN A34005 92 43 the the DT A34005 92 44 Quadrant Quadrant NNP A34005 92 45 between between IN A34005 92 46 the the DT A34005 92 47 two two CD A34005 92 48 Tropicks tropick NNS A34005 92 49 , , , A34005 92 50 a a DT A34005 92 51 quarter quarter NN A34005 92 52 of of IN A34005 92 53 which which WDT A34005 92 54 Projection Projection NNP A34005 92 55 will will MD A34005 92 56 be be VB A34005 92 57 the the DT A34005 92 58 same same JJ A34005 92 59 with with IN A34005 92 60 that that DT A34005 92 61 on on IN A34005 92 62 the the DT A34005 92 63 Quadrant Quadrant NNP A34005 92 64 , , , A34005 92 65 namely namely RB A34005 92 66 , , , A34005 92 67 one one CD A34005 92 68 of of IN A34005 92 69 those those DT A34005 92 70 quarters quarter NNS A34005 92 71 between between IN A34005 92 72 the the DT A34005 92 73 South South NNP A34005 92 74 part part NN A34005 92 75 of of IN A34005 92 76 the the DT A34005 92 77 Meridian Meridian NNP A34005 92 78 and and CC A34005 92 79 hour hour NN A34005 92 80 of of IN A34005 92 81 six six CD A34005 92 82 , , , A34005 92 83 which which WDT A34005 92 84 will will MD A34005 92 85 leave leave VB A34005 92 86 out out RP A34005 92 87 all all PDT A34005 92 88 the the DT A34005 92 89 outward outward JJ A34005 92 90 part part NN A34005 92 91 of of IN A34005 92 92 the the DT A34005 92 93 Almicanters Almicanters NNPS A34005 92 94 between between IN A34005 92 95 it -PRON- PRP A34005 92 96 and and CC A34005 92 97 the the DT A34005 92 98 Tropick Tropick NNP A34005 92 99 of of IN A34005 92 100 Cancer Cancer NNP A34005 92 101 , , , A34005 92 102 and and CC A34005 92 103 in in IN A34005 92 104 stead stead NN A34005 92 105 thereof thereof RB A34005 92 106 , , , A34005 92 107 there there EX A34005 92 108 is be VBZ A34005 92 109 taken take VBN A34005 92 110 in in IN A34005 92 111 such such PDT A34005 92 112 a a DT A34005 92 113 like like JJ A34005 92 114 part part NN A34005 92 115 of of IN A34005 92 116 the the DT A34005 92 117 depressed depressed JJ A34005 92 118 Parallels Parallels NNPS A34005 92 119 to to IN A34005 92 120 the the DT A34005 92 121 Horizon Horizon NNP A34005 92 122 between between IN A34005 92 123 the the DT A34005 92 124 same same JJ A34005 92 125 Hour Hour NNP A34005 92 126 of of IN A34005 92 127 six six CD A34005 92 128 , , , A34005 92 129 and and CC A34005 92 130 Tropick Tropick NNP A34005 92 131 of of IN A34005 92 132 Capricorn Capricorn NNP A34005 92 133 , , , A34005 92 134 which which WDT A34005 92 135 is be VBZ A34005 92 136 the the DT A34005 92 137 reverted reverted JJ A34005 92 138 tail tail NN A34005 92 139 ; ; : A34005 92 140 for for IN A34005 92 141 the the DT A34005 92 142 Parallels Parallels NNP A34005 92 143 of of IN A34005 92 144 Depression Depression NNP A34005 92 145 have have VBP A34005 92 146 the the DT A34005 92 147 same same JJ A34005 92 148 respect respect NN A34005 92 149 to to IN A34005 92 150 the the DT A34005 92 151 Tropick Tropick NNP A34005 92 152 of of IN A34005 92 153 Capricorn Capricorn NNP A34005 92 154 , , , A34005 92 155 that that IN A34005 92 156 the the DT A34005 92 157 Parallels Parallels NNPS A34005 92 158 of of IN A34005 92 159 Altitude Altitude NNP A34005 92 160 have have VBP A34005 92 161 to to IN A34005 92 162 the the DT A34005 92 163 Tropick Tropick NNP A34005 92 164 of of IN A34005 92 165 Cancer Cancer NNP A34005 92 166 , , , A34005 92 167 and and CC A34005 92 168 will will MD A34005 92 169 work work VB A34005 92 170 the the DT A34005 92 171 same same JJ A34005 92 172 in in IN A34005 92 173 effect effect NN A34005 92 174 . . . A34005 93 1 In in IN A34005 93 2 like like JJ A34005 93 3 manner manner NN A34005 93 4 , , , A34005 93 5 the the DT A34005 93 6 Eye Eye NNP A34005 93 7 in in IN A34005 93 8 the the DT A34005 93 9 other other JJ A34005 93 10 Projection Projection NNP A34005 93 11 may may MD A34005 93 12 be be VB A34005 93 13 supposed suppose VBN A34005 93 14 in in IN A34005 93 15 the the DT A34005 93 16 Zenith Zenith NNP A34005 93 17 , , , A34005 93 18 Stereographically Stereographically NNP A34005 93 19 Projecting Projecting NNP A34005 93 20 upon upon IN A34005 93 21 the the DT A34005 93 22 Plain Plain NNP A34005 93 23 of of IN A34005 93 24 the the DT A34005 93 25 Horizon Horizon NNP A34005 93 26 , , , A34005 93 27 that that DT A34005 93 28 part part NN A34005 93 29 only only RB A34005 93 30 of of IN A34005 93 31 the the DT A34005 93 32 space space NN A34005 93 33 between between IN A34005 93 34 the the DT A34005 93 35 Tropicks Tropicks NNPS A34005 93 36 , , , A34005 93 37 which which WDT A34005 93 38 falls fall VBZ A34005 93 39 without without IN A34005 93 40 the the DT A34005 93 41 Projection Projection NNP A34005 93 42 of of IN A34005 93 43 the the DT A34005 93 44 Horizontal Horizontal NNP A34005 93 45 Circle Circle NNP A34005 93 46 , , , A34005 93 47 save save VB A34005 93 48 only only RB A34005 93 49 the the DT A34005 93 50 reverted reverted JJ A34005 93 51 tail tail NN A34005 93 52 , , , A34005 93 53 which which WDT A34005 93 54 is be VBZ A34005 93 55 the the DT A34005 93 56 Projection Projection NNP A34005 93 57 of of IN A34005 93 58 so so RB A34005 93 59 much much JJ A34005 93 60 of of IN A34005 93 61 the the DT A34005 93 62 Parallels Parallels NNP A34005 93 63 of of IN A34005 93 64 South South NNP A34005 93 65 Declination Declination NNP A34005 93 66 , , , A34005 93 67 as as IN A34005 93 68 is be VBZ A34005 93 69 intercepted intercept VBN A34005 93 70 between between IN A34005 93 71 the the DT A34005 93 72 prime prime JJ A34005 93 73 Vertical Vertical NNP A34005 93 74 Circle Circle NNP A34005 93 75 and and CC A34005 93 76 the the DT A34005 93 77 Horizon Horizon NNP A34005 93 78 , , , A34005 93 79 and and CC A34005 93 80 is be VBZ A34005 93 81 taken take VBN A34005 93 82 in in RP A34005 93 83 to to TO A34005 93 84 serve serve VB A34005 93 85 in in IN A34005 93 86 stead stead NN A34005 93 87 of of IN A34005 93 88 that that DT A34005 93 89 part part NN A34005 93 90 of of IN A34005 93 91 the the DT A34005 93 92 Parallels Parallels NNP A34005 93 93 of of IN A34005 93 94 North North NNP A34005 93 95 Declination Declination NNP A34005 93 96 , , , A34005 93 97 which which WDT A34005 93 98 will will MD A34005 93 99 fall fall VB A34005 93 100 without without IN A34005 93 101 the the DT A34005 93 102 Quadrant Quadrant NNP A34005 93 103 . . . A34005 94 1 In in IN A34005 94 2 any any DT A34005 94 3 of of IN A34005 94 4 these these DT A34005 94 5 Positions position NNS A34005 94 6 of of IN A34005 94 7 the the DT A34005 94 8 Eye Eye NNP A34005 94 9 , , , A34005 94 10 all all DT A34005 94 11 Circles circle NNS A34005 94 12 passing pass VBG A34005 94 13 through through IN A34005 94 14 the the DT A34005 94 15 same same JJ A34005 94 16 , , , A34005 94 17 will will MD A34005 94 18 be be VB A34005 94 19 projected project VBN A34005 94 20 in in IN A34005 94 21 right right JJ A34005 94 22 lines line NNS A34005 94 23 by by IN A34005 94 24 91 91 CD A34005 94 25 Prop Prop NNP A34005 94 26 . . . A34005 95 1 6 6 CD A34005 95 2 Book Book NNP A34005 95 3 of of IN A34005 95 4 Aguilonius Aguilonius NNP A34005 95 5 , , , A34005 95 6 such such JJ A34005 95 7 are be VBP A34005 95 8 the the DT A34005 95 9 Azimuths Azimuths NNPS A34005 95 10 on on IN A34005 95 11 the the DT A34005 95 12 Horizontal Horizontal NNP A34005 95 13 Quadrant Quadrant NNP A34005 95 14 , , , A34005 95 15 and and CC A34005 95 16 the the DT A34005 95 17 Hours hour NNS A34005 95 18 on on IN A34005 95 19 the the DT A34005 95 20 other other JJ A34005 95 21 Quadrant Quadrant NNP A34005 95 22 , , , A34005 95 23 represented represent VBN A34005 95 24 by by IN A34005 95 25 the the DT A34005 95 26 thred thre VBN A34005 95 27 lying lie VBG A34005 95 28 over over IN A34005 95 29 any any DT A34005 95 30 Ark Ark NNP A34005 95 31 in in IN A34005 95 32 the the DT A34005 95 33 Limb Limb NNP A34005 95 34 , , , A34005 95 35 so so RB A34005 95 36 also also RB A34005 95 37 in in IN A34005 95 38 this this DT A34005 95 39 latter latter JJ A34005 95 40 Quadrant Quadrant NNP A34005 95 41 is be VBZ A34005 95 42 the the DT A34005 95 43 Parallel Parallel NNP A34005 95 44 of of IN A34005 95 45 Altitude altitude NN A34005 95 46 equal equal JJ A34005 95 47 to to IN A34005 95 48 the the DT A34005 95 49 Latitude Latitude NNP A34005 95 50 of of IN A34005 95 51 the the DT A34005 95 52 place place NN A34005 95 53 , , , A34005 95 54 a a DT A34005 95 55 right right JJ A34005 95 56 line line NN A34005 95 57 . . . A34005 96 1 All all DT A34005 96 2 Circles circle NNS A34005 96 3 parallel parallel VBP A34005 96 4 to to IN A34005 96 5 the the DT A34005 96 6 Horizon Horizon NNP A34005 96 7 and and CC A34005 96 8 Equinoctial Equinoctial NNP A34005 96 9 , , , A34005 96 10 will will MD A34005 96 11 be be VB A34005 96 12 projected project VBN A34005 96 13 in in IN A34005 96 14 concentrick concentrick NN A34005 96 15 Circles Circles NNP A34005 96 16 by by IN A34005 96 17 94 94 CD A34005 96 18 Prop Prop NNP A34005 96 19 . . . A34005 97 1 6 6 CD A34005 97 2 . . . A34005 98 1 Aguilonius Aguilonius NNP A34005 98 2 , , , A34005 98 3 such such JJ A34005 98 4 are be VBP A34005 98 5 the the DT A34005 98 6 Parallels Parallels NNPS A34005 98 7 of of IN A34005 98 8 Altitude altitude NN A34005 98 9 in in IN A34005 98 10 the the DT A34005 98 11 Horizontal Horizontal NNP A34005 98 12 Quadrant Quadrant NNP A34005 98 13 , , , A34005 98 14 and and CC A34005 98 15 the the DT A34005 98 16 Parallels Parallels NNPS A34005 98 17 of of IN A34005 98 18 Declination declination NN A34005 98 19 in in IN A34005 98 20 the the DT A34005 98 21 other other JJ A34005 98 22 Quadrants Quadrants NNPS A34005 98 23 , , , A34005 98 24 represented represent VBN A34005 98 25 by by IN A34005 98 26 the the DT A34005 98 27 Bead Bead NNP A34005 98 28 , , , A34005 98 29 when when WRB A34005 98 30 it -PRON- PRP A34005 98 31 is be VBZ A34005 98 32 rectified rectified JJ A34005 98 33 to to IN A34005 98 34 the the DT A34005 98 35 Index Index NNP A34005 98 36 of of IN A34005 98 37 Altitudes Altitudes NNPS A34005 98 38 in in IN A34005 98 39 the the DT A34005 98 40 one one NN A34005 98 41 , , , A34005 98 42 and and CC A34005 98 43 to to IN A34005 98 44 the the DT A34005 98 45 Ecliptick Ecliptick NNP A34005 98 46 in in IN A34005 98 47 the the DT A34005 98 48 other other JJ A34005 98 49 , , , A34005 98 50 carried carry VBN A34005 98 51 in in IN A34005 98 52 a a DT A34005 98 53 circular circular JJ A34005 98 54 trace trace NN A34005 98 55 from from IN A34005 98 56 one one CD A34005 98 57 side side NN A34005 98 58 of of IN A34005 98 59 the the DT A34005 98 60 Quadrant Quadrant NNP A34005 98 61 to to IN A34005 98 62 the the DT A34005 98 63 other other JJ A34005 98 64 . . . A34005 99 1 All all DT A34005 99 2 other other JJ A34005 99 3 Circles circle NNS A34005 99 4 in in IN A34005 99 5 the the DT A34005 99 6 Sphere Sphere NNP A34005 99 7 , , , A34005 99 8 whatsoever whatsoever RB A34005 99 9 and and CC A34005 99 10 howsoever howsoever NN A34005 99 11 scituated scituate VBN A34005 99 12 , , , A34005 99 13 being be VBG A34005 99 14 projected project VBN A34005 99 15 according accord VBG A34005 99 16 to to IN A34005 99 17 the the DT A34005 99 18 supposed suppose VBN A34005 99 19 position position NN A34005 99 20 of of IN A34005 99 21 the the DT A34005 99 22 Plain Plain NNP A34005 99 23 and and CC A34005 99 24 Eye Eye NNP A34005 99 25 , , , A34005 99 26 will will MD A34005 99 27 be be VB A34005 99 28 represented represent VBN A34005 99 29 by by IN A34005 99 30 Excentrick Excentrick NNP A34005 99 31 Circles Circles NNP A34005 99 32 . . . A34005 100 1 by by IN A34005 100 2 96 96 CD A34005 100 3 Prop Prop NNP A34005 100 4 . . . A34005 101 1 6 6 CD A34005 101 2 . . . A34005 102 1 Aguilonius Aguilonius NNP A34005 102 2 , , , A34005 102 3 and and CC A34005 102 4 the the DT A34005 102 5 hours hour NNS A34005 102 6 in in IN A34005 102 7 the the DT A34005 102 8 Horizontal Horizontal NNP A34005 102 9 Projection Projection NNP A34005 102 10 will will MD A34005 102 11 ( ( -LRB- A34005 102 12 if if IN A34005 102 13 they -PRON- PRP A34005 102 14 be be VBP A34005 102 15 produced produce VBN A34005 102 16 ) ) -RRB- A34005 102 17 meet meet VB A34005 102 18 with with IN A34005 102 19 the the DT A34005 102 20 projected project VBN A34005 102 21 Pole Pole NNP A34005 102 22 points point NNS A34005 102 23 , , , A34005 102 24 so so RB A34005 102 25 also also RB A34005 102 26 the the DT A34005 102 27 Azimuths azimuth NNS A34005 102 28 in in IN A34005 102 29 the the DT A34005 102 30 other other JJ A34005 102 31 Projection Projection NNP A34005 102 32 , , , A34005 102 33 which which WDT A34005 102 34 by by IN A34005 102 35 the the DT A34005 102 36 like like JJ A34005 102 37 parity parity NN A34005 102 38 of of IN A34005 102 39 Reason reason NN A34005 102 40 may may MD A34005 102 41 be be VB A34005 102 42 denominated denominate VBN A34005 102 43 The the DT A34005 102 44 Equinoctial Equinoctial NNP A34005 102 45 Projection Projection NNP A34005 102 46 , , , A34005 102 47 will will MD A34005 102 48 ( ( -LRB- A34005 102 49 being be VBG A34005 102 50 produced produce VBN A34005 102 51 ) ) -RRB- A34005 102 52 meet meet VB A34005 102 53 with with IN A34005 102 54 the the DT A34005 102 55 projected project VBN A34005 102 56 points point NNS A34005 102 57 of of IN A34005 102 58 the the DT A34005 102 59 Zenith Zenith NNP A34005 102 60 and and CC A34005 102 61 Nadir Nadir NNP A34005 102 62 ; ; : A34005 102 63 and and CC A34005 102 64 how how WRB A34005 102 65 in in IN A34005 102 66 particular particular JJ A34005 102 67 to to IN A34005 102 68 project project VB A34005 102 69 and and CC A34005 102 70 divide divide VB A34005 102 71 any any DT A34005 102 72 Circle Circle NNP A34005 102 73 however however RB A34005 102 74 scituated scituate VBN A34005 102 75 in in IN A34005 102 76 the the DT A34005 102 77 Sphere Sphere NNP A34005 102 78 , , , A34005 102 79 is be VBZ A34005 102 80 abundantly abundantly RB A34005 102 81 shewn shew VBN A34005 102 82 in in IN A34005 102 83 the the DT A34005 102 84 6th 6th JJ A34005 102 85 Book Book NNP A34005 102 86 of of IN A34005 102 87 the the DT A34005 102 88 aforesaid aforesaid NNP A34005 102 89 Author Author NNP A34005 102 90 , , , A34005 102 91 and and CC A34005 102 92 amplified amplify VBD A34005 102 93 with with IN A34005 102 94 many many JJ A34005 102 95 examples example NNS A34005 102 96 , , , A34005 102 97 though though IN A34005 102 98 none none NN A34005 102 99 of of IN A34005 102 100 them -PRON- PRP A34005 102 101 agreeing agree VBG A34005 102 102 with with IN A34005 102 103 the the DT A34005 102 104 particular particular JJ A34005 102 105 Draughts draught NNS A34005 102 106 of of IN A34005 102 107 these these DT A34005 102 108 Quadrants Quadrants NNPS A34005 102 109 , , , A34005 102 110 yet yet CC A34005 102 111 if if IN A34005 102 112 put put VBN A34005 102 113 in in IN A34005 102 114 practise practise NN A34005 102 115 according accord VBG A34005 102 116 to to IN A34005 102 117 the the DT A34005 102 118 proposed propose VBN A34005 102 119 Scituation Scituation NNP A34005 102 120 of of IN A34005 102 121 the the DT A34005 102 122 Eye Eye NNP A34005 102 123 , , , A34005 102 124 will will MD A34005 102 125 be be VB A34005 102 126 found find VBN A34005 102 127 to to TO A34005 102 128 agree agree VB A34005 102 129 with with IN A34005 102 130 the the DT A34005 102 131 prescribed prescribed JJ A34005 102 132 Directions Directions NNP A34005 102 133 for for IN A34005 102 134 the the DT A34005 102 135 making making NN A34005 102 136 of of IN A34005 102 137 these these DT A34005 102 138 Quadrants quadrant NNS A34005 102 139 . . . A34005 103 1 See see VB A34005 103 2 also also RB A34005 103 3 Clavius Clavius NNP A34005 103 4 his -PRON- PRP$ A34005 103 5 Book Book NNP A34005 103 6 of of IN A34005 103 7 the the DT A34005 103 8 Astrolabe Astrolabe NNP A34005 103 9 , , , A34005 103 10 Guido Guido NNP A34005 103 11 Ubaldus Ubaldus NNP A34005 103 12 his -PRON- PRP$ A34005 103 13 Theorick Theorick NNP A34005 103 14 of of IN A34005 103 15 the the DT A34005 103 16 general general JJ A34005 103 17 Planispheres Planispheres NNPS A34005 103 18 , , , A34005 103 19 and and CC A34005 103 20 M. M. NNP A34005 103 21 Oughtreds Oughtreds NNP A34005 103 22 2d 2d NNP A34005 103 23 Scheme Scheme NNP A34005 103 24 B B NNP A34005 103 25 in in IN A34005 103 26 his -PRON- PRP$ A34005 103 27 late late JJ A34005 103 28 Trigonometry Trigonometry NNP A34005 103 29 in in IN A34005 103 30 English English NNP A34005 103 31 . . . A34005 104 1 An an DT A34005 104 2 Appendix Appendix NNP A34005 104 3 to to IN A34005 104 4 the the DT A34005 104 5 Description description NN A34005 104 6 of of IN A34005 104 7 the the DT A34005 104 8 Small Small NNP A34005 104 9 Quadrant Quadrant NNP A34005 104 10 . . . A34005 105 1 SInce since IN A34005 105 2 the the DT A34005 105 3 Printing printing NN A34005 105 4 of of IN A34005 105 5 the the DT A34005 105 6 sheet sheet NN A34005 105 7 B B NNP A34005 105 8 , , , A34005 105 9 we -PRON- PRP A34005 105 10 have have VBP A34005 105 11 thought think VBN A34005 105 12 fit fit JJ A34005 105 13 to to TO A34005 105 14 vary vary VB A34005 105 15 a a DT A34005 105 16 little little JJ A34005 105 17 from from IN A34005 105 18 the the DT A34005 105 19 Description description NN A34005 105 20 there there RB A34005 105 21 given give VBN A34005 105 22 of of IN A34005 105 23 the the DT A34005 105 24 Small Small NNP A34005 105 25 Quadrant Quadrant NNP A34005 105 26 . . . A34005 106 1 The the DT A34005 106 2 Dyalling dyalle VBG A34005 106 3 Scale scale NN A34005 106 4 of of IN A34005 106 5 Hours hour NNS A34005 106 6 described describe VBN A34005 106 7 in in IN A34005 106 8 page page NN A34005 106 9 9 9 CD A34005 106 10 , , , A34005 106 11 near near IN A34005 106 12 the the DT A34005 106 13 beginning beginning NN A34005 106 14 , , , A34005 106 15 which which WDT A34005 106 16 I -PRON- PRP A34005 106 17 say say VBP A34005 106 18 in in IN A34005 106 19 Page page NN A34005 106 20 191 191 CD A34005 106 21 may may MD A34005 106 22 be be VB A34005 106 23 omitted omit VBN A34005 106 24 , , , A34005 106 25 is be VBZ A34005 106 26 accordingly accordingly RB A34005 106 27 left leave VBN A34005 106 28 out out RP A34005 106 29 , , , A34005 106 30 and and CC A34005 106 31 instead instead RB A34005 106 32 of of IN A34005 106 33 it -PRON- PRP A34005 106 34 , , , A34005 106 35 a a DT A34005 106 36 line line NN A34005 106 37 of of IN A34005 106 38 Versed versed JJ A34005 106 39 Sines Sines NNPS A34005 106 40 of of IN A34005 106 41 90d 90d CD A34005 106 42 put put VBD A34005 106 43 on on RP A34005 106 44 , , , A34005 106 45 the the DT A34005 106 46 uses use NNS A34005 106 47 whereof whereof NNP A34005 106 48 are be VBP A34005 106 49 handled handle VBN A34005 106 50 in in IN A34005 106 51 the the DT A34005 106 52 great great JJ A34005 106 53 Equinoctial Equinoctial NNP A34005 106 54 Quadrant Quadrant NNP A34005 106 55 . . . A34005 107 1 Also also RB A34005 107 2 there there EX A34005 107 3 is be VBZ A34005 107 4 two two CD A34005 107 5 Scales Scales NNPS A34005 107 6 added add VBN A34005 107 7 to to IN A34005 107 8 the the DT A34005 107 9 small small JJ A34005 107 10 Quadrant Quadrant NNP A34005 107 11 more more RBR A34005 107 12 then then RB A34005 107 13 was be VBD A34005 107 14 described describe VBN A34005 107 15 ; ; : A34005 107 16 namely namely RB A34005 107 17 , , , A34005 107 18 the the DT A34005 107 19 Scale Scale NNP A34005 107 20 of of IN A34005 107 21 Entrance Entrance NNP A34005 107 22 , , , A34005 107 23 the the DT A34005 107 24 same same JJ A34005 107 25 that that WDT A34005 107 26 was be VBD A34005 107 27 placed place VBN A34005 107 28 upon upon IN A34005 107 29 the the DT A34005 107 30 Horizontal Horizontal NNP A34005 107 31 Quadrant Quadrant NNP A34005 107 32 , , , A34005 107 33 with with IN A34005 107 34 a a DT A34005 107 35 Sine Sine NNP A34005 107 36 of of IN A34005 107 37 51d 51d NNS A34005 107 38 32′ 32′ CD A34005 107 39 put put VBD A34005 107 40 through through IN A34005 107 41 the the DT A34005 107 42 whole whole JJ A34005 107 43 Limb Limb NNP A34005 107 44 serving serve VBG A34005 107 45 to to TO A34005 107 46 give give VB A34005 107 47 the the DT A34005 107 48 Altitude altitude NN A34005 107 49 at at IN A34005 107 50 six six CD A34005 107 51 , , , A34005 107 52 which which WDT A34005 107 53 the the DT A34005 107 54 thred thre VBN A34005 107 55 will will MD A34005 107 56 intersect intersect VB A34005 107 57 , , , A34005 107 58 if if IN A34005 107 59 it -PRON- PRP A34005 107 60 be be VB A34005 107 61 laid lay VBN A34005 107 62 over over IN A34005 107 63 the the DT A34005 107 64 Declination declination NN A34005 107 65 in in IN A34005 107 66 the the DT A34005 107 67 Limb Limb NNP A34005 107 68 ; ; : A34005 107 69 but but CC A34005 107 70 enough enough JJ A34005 107 71 of of IN A34005 107 72 the the DT A34005 107 73 uses use NNS A34005 107 74 of of IN A34005 107 75 these these DT A34005 107 76 Scales Scales NNPS A34005 107 77 is be VBZ A34005 107 78 said say VBN A34005 107 79 in in IN A34005 107 80 the the DT A34005 107 81 Horizontal Horizontal NNP A34005 107 82 Quadrant Quadrant NNP A34005 107 83 . . . A34005 108 1 Lastly lastly RB A34005 108 2 , , , A34005 108 3 Those those DT A34005 108 4 that that WDT A34005 108 5 like like VBP A34005 108 6 it -PRON- PRP A34005 108 7 best well RBS A34005 108 8 , , , A34005 108 9 instead instead RB A34005 108 10 of of IN A34005 108 11 having have VBG A34005 108 12 on on IN A34005 108 13 the the DT A34005 108 14 Small Small NNP A34005 108 15 Quadrant Quadrant NNP A34005 108 16 one one CD A34005 108 17 loose loose JJ A34005 108 18 fitted fit VBN A34005 108 19 Scale Scale NNP A34005 108 20 for for IN A34005 108 21 the the DT A34005 108 22 Hour Hour NNP A34005 108 23 , , , A34005 108 24 and and CC A34005 108 25 another another DT A34005 108 26 for for IN A34005 108 27 the the DT A34005 108 28 Azimuth Azimuth NNP A34005 108 29 , , , A34005 108 30 may may MD A34005 108 31 have have VB A34005 108 32 the the DT A34005 108 33 Hour Hour NNP A34005 108 34 - - HYPH A34005 108 35 Scale Scale NNP A34005 108 36 only only RB A34005 108 37 divided divide VBD A34005 108 38 into into IN A34005 108 39 two two CD A34005 108 40 parts part NNS A34005 108 41 , , , A34005 108 42 serving serve VBG A34005 108 43 to to TO A34005 108 44 give give VB A34005 108 45 the the DT A34005 108 46 Hour Hour NNP A34005 108 47 and and CC A34005 108 48 Azimuth Azimuth NNP A34005 108 49 for for IN A34005 108 50 the the DT A34005 108 51 Sun Sun NNP A34005 108 52 , , , A34005 108 53 and and CC A34005 108 54 all all PDT A34005 108 55 the the DT A34005 108 56 Stars Stars NNPS A34005 108 57 in in IN A34005 108 58 the the DT A34005 108 59 Hemisphere Hemisphere NNP A34005 108 60 , , , A34005 108 61 the the DT A34005 108 62 one one CD A34005 108 63 part part NN A34005 108 64 for for IN A34005 108 65 South South NNP A34005 108 66 Declinations Declinations NNPS A34005 108 67 , , , A34005 108 68 the the DT A34005 108 69 other other JJ A34005 108 70 for for IN A34005 108 71 North North NNP A34005 108 72 Declinations Declinations NNPS A34005 108 73 , , , A34005 108 74 in in IN A34005 108 75 imitation imitation NN A34005 108 76 of of IN A34005 108 77 the the DT A34005 108 78 Diagonal Diagonal NNP A34005 108 79 Scale Scale NNP A34005 108 80 . . . A34005 109 1 An an DT A34005 109 2 Advertisement advertisement NN A34005 109 3 . . . A34005 110 1 ALL all DT A34005 110 2 manner manner NN A34005 110 3 of of IN A34005 110 4 Mathematical Mathematical NNP A34005 110 5 Instruments Instruments NNPS A34005 110 6 , , , A34005 110 7 either either CC A34005 110 8 for for IN A34005 110 9 Sea Sea NNP A34005 110 10 or or CC A34005 110 11 Land Land NNP A34005 110 12 , , , A34005 110 13 are be VBP A34005 110 14 exactly exactly RB A34005 110 15 made make VBN A34005 110 16 in in IN A34005 110 17 Wood Wood NNP A34005 110 18 or or CC A34005 110 19 Brass Brass NNP A34005 110 20 , , , A34005 110 21 by by IN A34005 110 22 Henry Henry NNP A34005 110 23 Sutton Sutton NNP A34005 110 24 , , , A34005 110 25 in in IN A34005 110 26 Thredneedle Thredneedle NNP A34005 110 27 - - HYPH A34005 110 28 street street NN A34005 110 29 , , , A34005 110 30 near near IN A34005 110 31 Christophers Christophers NNPS A34005 110 32 Church Church NNP A34005 110 33 , , , A34005 110 34 or or CC A34005 110 35 by by IN A34005 110 36 William William NNP A34005 110 37 Sutton Sutton NNP A34005 110 38 in in IN A34005 110 39 Upper Upper NNP A34005 110 40 Shadwel Shadwel NNP A34005 110 41 , , , A34005 110 42 a a DT A34005 110 43 little little JJ A34005 110 44 beyond beyond IN A34005 110 45 the the DT A34005 110 46 Church Church NNP A34005 110 47 . . . A34005 111 1 Pag Pag NNP A34005 111 2 . . . A34005 112 1 Li Li NNP A34005 112 2 . . . A34005 113 1 Errors error NNS A34005 113 2 to to TO A34005 113 3 be be VB A34005 113 4 thus thus RB A34005 113 5 Corrected correct VBN A34005 113 6 . . . A34005 114 1 8 8 CD A34005 114 2 33 33 CD A34005 114 3 apply apply VBP A34005 114 4 supply supply NN A34005 114 5 19 19 CD A34005 114 6 25 25 CD A34005 114 7 76 76 CD A34005 114 8 d d NN A34005 114 9 54′ 54′ NNP A34005 114 10 79 79 CD A34005 114 11 d d NNP A34005 114 12 54′ 54′ CD A34005 114 13 20 20 CD A34005 114 14 7 7 CD A34005 114 15 48 48 CD A34005 114 16 d d CD A34005 114 17 45 45 CD A34005 114 18 d d CD A34005 114 19 23 23 CD A34005 114 20 3 3 CD A34005 114 21 50 50 CD A34005 114 22 d d CD A34005 114 23 41′ 41′ CD A34005 114 24 50 50 CD A34005 114 25 d d CD A34005 114 26 41′ 41′ CD A34005 114 27 23 23 CD A34005 114 28 11 11 CD A34005 114 29 58′ 58′ CD A34005 114 30 53′ 53′ CD A34005 114 31 24 24 CD A34005 114 32 25 25 CD A34005 114 33 a a DT A34005 114 34 Letter Letter NNP A34005 114 35 Character Character NNP A34005 114 36 . . . A34005 115 1 the the DT A34005 115 2 Character Character NNP A34005 115 3 plus plus CC A34005 115 4 + + SYM A34005 115 5 28 28 CD A34005 115 6 is be VBZ A34005 115 7 lesse lesse JJ A34005 115 8 if if IN A34005 115 9 lesse lesse NNP A34005 115 10 55 55 CD A34005 115 11 14 14 CD A34005 115 12 difference difference NN A34005 115 13 of of IN A34005 115 14 one one CD A34005 115 15 of of IN A34005 115 16 differences difference NNS A34005 115 17 of of IN A34005 115 18 55 55 CD A34005 115 19 17 17 CD A34005 115 20 of of IN A34005 115 21 the the DT A34005 115 22 Leggs Leggs NNP A34005 115 23 from from IN A34005 115 24 the the DT A34005 115 25 Leggs Leggs NNP A34005 115 26 of of IN A34005 115 27 one one CD A34005 115 28 of of IN A34005 115 29 the the DT A34005 115 30 Leggs Leggs NNP A34005 115 31 The the DT A34005 115 32 affections affection NNS A34005 115 33 in in IN A34005 115 34 page page NN A34005 115 35 57 57 CD A34005 115 36 line line NN A34005 115 37 16 16 CD A34005 115 38 , , , A34005 115 39 17 17 CD A34005 115 40 . . . A34005 115 41 wanting want VBG A34005 115 42 Braces Braces NNP A34005 115 43 , , , A34005 115 44 are be VBP A34005 115 45 expressed express VBN A34005 115 46 at at IN A34005 115 47 large large JJ A34005 115 48 page page NN A34005 115 49 140 140 CD A34005 115 50 , , , A34005 115 51 141 141 CD A34005 115 52 . . . A34005 115 53 also also RB A34005 115 54 the the DT A34005 115 55 last last JJ A34005 115 56 affection affection NN A34005 115 57 in in IN A34005 115 58 that that DT A34005 115 59 page page NN A34005 115 60 having have VBG A34005 115 61 a a DT A34005 115 62 mistake mistake NN A34005 115 63 of of IN A34005 115 64 lesser less JJR A34005 115 65 for for IN A34005 115 66 greater great JJR A34005 115 67 in in IN A34005 115 68 the the DT A34005 115 69 middle middle JJ A34005 115 70 brace brace NN A34005 115 71 is be VBZ A34005 115 72 reprinted reprint VBN A34005 115 73 in in IN A34005 115 74 page page NN A34005 115 75 138 138 CD A34005 115 76 60 60 CD A34005 115 77 14 14 CD A34005 115 78 The the DT A34005 115 79 last last JJ A34005 115 80 term term NN A34005 115 81 of of IN A34005 115 82 the the DT A34005 115 83 4th 4th JJ A34005 115 84 Proportion Proportion NNP A34005 115 85 should should MD A34005 115 86 be be VB A34005 115 87 the the DT A34005 115 88 Sine Sine NNP A34005 115 89 of of IN A34005 115 90 the the DT A34005 115 91 angle angle NN A34005 115 92 sought seek VBN A34005 115 93 , , , A34005 115 94 and and CC A34005 115 95 not not RB A34005 115 96 the the DT A34005 115 97 Cosecant Cosecant NNP A34005 115 98 . . . A34005 116 1 92 92 CD A34005 116 2 29 29 CD A34005 116 3 a a DT A34005 116 4 Leg Leg NNP A34005 116 5 and and CC A34005 116 6 its -PRON- PRP$ A34005 116 7 adjacent adjacent JJ A34005 116 8 angle angle NN A34005 116 9 The the DT A34005 116 10 Hipotenusal Hipotenusal NNP A34005 116 11 and and CC A34005 116 12 its -PRON- PRP$ A34005 116 13 adjacent adjacent JJ A34005 116 14 angle angle NN A34005 116 15 30 30 CD A34005 116 16 to to TO A34005 116 17 find find VB A34005 116 18 the the DT A34005 116 19 other other JJ A34005 116 20 angle angle NN A34005 116 21 by by IN A34005 116 22 4 4 CD A34005 116 23 to to TO A34005 116 24 find find VB A34005 116 25 the the DT A34005 116 26 side side NN A34005 116 27 opposite opposite RB A34005 116 28 there there RB A34005 116 29 to to IN A34005 116 30 by by IN A34005 116 31 8 8 CD A34005 116 32 Case Case NNP A34005 116 33 Case case NN A34005 116 34 . . . A34005 117 1 See see VB A34005 117 2 page page NN A34005 117 3 138 138 CD A34005 117 4 . . . A34005 118 1 103 103 CD A34005 118 2 34 34 CD A34005 118 3 Acquimultiplex Acquimultiplex NNP A34005 118 4 Aequimultiplex Aequimultiplex NNP A34005 118 5 35 35 CD A34005 118 6 therefore therefore RB A34005 118 7 by by IN A34005 118 8 therefore therefore RB A34005 118 9 by by IN A34005 118 10 18 18 CD A34005 118 11 Prop Prop NNP A34005 118 12 . . . A34005 119 1 7 7 LS A34005 119 2 . . . A34005 120 1 Euclid euclid JJ A34005 120 2 . . . A34005 121 1 121 121 CD A34005 121 2 18 18 CD A34005 121 3 Hour Hour NNP A34005 121 4 3¼ 3¼ CD A34005 121 5 Altitude altitude NN A34005 121 6 41 41 CD A34005 121 7 d d CD A34005 121 8 31′ 31′ CD A34005 121 9 Altitude altitude NN A34005 121 10 for for IN A34005 121 11 the the DT A34005 121 12 hour hour NN A34005 121 13 3¼ 3¼ CD A34005 121 14 is be VBZ A34005 121 15 43 43 CD A34005 121 16 d d NN A34005 121 17 31′ 31′ CD A34005 121 18 158 158 CD A34005 121 19 1 1 CD A34005 121 20 Line Line NNP A34005 121 21 of of IN A34005 121 22 Line Line NNP A34005 121 23 of of IN A34005 121 24 Sines Sines NNP A34005 121 25 159 159 CD A34005 121 26 21 21 CD A34005 121 27 of of IN A34005 121 28 90 90 CD A34005 121 29 d d NN A34005 121 30 at at IN A34005 121 31 90 90 CD A34005 121 32 d d SYM A34005 121 33 164 164 CD A34005 121 34 ● ● SYM A34005 121 35 8 8 CD A34005 121 36 any any DT A34005 121 37 some some DT A34005 121 38 174 174 CD A34005 121 39 15 15 CD A34005 121 40 in in IN A34005 121 41 the the DT A34005 121 42 Limb Limb NNP A34005 121 43 in in IN A34005 121 44 the the DT A34005 121 45 lesser less JJR A34005 121 46 Sines Sines NNP A34005 121 47 181 181 CD A34005 121 48 25 25 CD A34005 121 49 between between IN A34005 121 50 as as RB A34005 121 51 also also RB A34005 121 52 between between IN A34005 121 53 27 27 CD A34005 121 54 would would MD A34005 121 55 find find VB A34005 121 56 it -PRON- PRP A34005 121 57 would would MD A34005 121 58 in in IN A34005 121 59 the the DT A34005 121 60 other other JJ A34005 121 61 Hemisphere Hemisphere NNP A34005 121 62 find find VBP A34005 121 63 it -PRON- PRP A34005 121 64 184 184 CD A34005 121 65 21 21 CD A34005 121 66 the the DT A34005 121 67 common common JJ A34005 121 68 as as IN A34005 121 69 the the DT A34005 121 70 common common JJ A34005 121 71 189 189 CD A34005 121 72 1 1 CD A34005 121 73 ● ● NFP A34005 121 74 either either CC A34005 121 75 it -PRON- PRP A34005 121 76 may may MD A34005 121 77 be be VB A34005 121 78 found find VBN A34005 121 79 either either CC A34005 121 80 192 192 CD A34005 121 81 24 24 CD A34005 121 82 As as IN A34005 121 83 the the DT A34005 121 84 second second JJ A34005 121 85 including include VBG A34005 121 86 side side NN A34005 121 87 As as IN A34005 121 88 the the DT A34005 121 89 Sine Sine NNP A34005 121 90 of of IN A34005 121 91 the the DT A34005 121 92 2d 2d CD A34005 121 93 including include VBG A34005 121 94 side side NN A34005 121 95 207 207 CD A34005 121 96 1 1 CD A34005 121 97 great great JJ A34005 121 98 Scale scale NN A34005 121 99 great great JJ A34005 121 100 Quadrant Quadrant NNP A34005 121 101 209 209 CD A34005 121 102 7 7 CD A34005 121 103 60 60 CD A34005 121 104 parts part NNS A34005 121 105 60 60 CD A34005 121 106 equal equal JJ A34005 121 107 parts part NNS A34005 121 108 The the DT A34005 121 109 Angle Angle NNP A34005 121 110 C C NNP A34005 121 111 in in IN A34005 121 112 the the DT A34005 121 113 Scheam Scheam NNP A34005 121 114 page page NN A34005 121 115 52 52 CD A34005 121 116 is be VBZ A34005 121 117 wrong wrong JJ A34005 121 118 cut cut NN A34005 121 119 , , , A34005 121 120 and and CC A34005 121 121 should should MD A34005 121 122 be be VB A34005 121 123 113d 113d NNPS A34005 121 124 22′ 22′ CD A34005 121 125 , , , A34005 121 126 See see VB A34005 121 127 it -PRON- PRP A34005 121 128 in in IN A34005 121 129 page page NN A34005 121 130 156 156 CD A34005 121 131 . . . A34005 122 1 Page page NN A34005 122 2 98 98 CD A34005 122 3 a a DT A34005 122 4 wrong wrong JJ A34005 122 5 Scheam Scheam NNP A34005 122 6 printed print VBN A34005 122 7 , , , A34005 122 8 the the DT A34005 122 9 true true JJ A34005 122 10 one one NN A34005 122 11 is be VBZ A34005 122 12 in in IN A34005 122 13 page page NN A34005 122 14 93 93 CD A34005 122 15 . . . A34005 123 1 Page page NN A34005 123 2 102 102 CD A34005 123 3 in in IN A34005 123 4 the the DT A34005 123 5 under under IN A34005 123 6 Triangle Triangle NNP A34005 123 7 the the DT A34005 123 8 Angle angle NN A34005 123 9 D d NN A34005 123 10 should should MD A34005 123 11 be be VB A34005 123 12 108d 108d NNS A34005 123 13 37′ 37′ CD A34005 123 14 See see VB A34005 123 15 page page NN A34005 123 16 201 201 CD A34005 123 17 . . . A34005 124 1 The the DT A34005 124 2 first first JJ A34005 124 3 ten ten CD A34005 124 4 lines line NNS A34005 124 5 of of IN A34005 124 6 calculation calculation NN A34005 124 7 p. p. NN A34005 124 8 53 53 CD A34005 124 9 are be VBP A34005 124 10 somwhat somwhat VBN A34005 124 11 misplac'd misplac'd NNP A34005 124 12 , , , A34005 124 13 & & CC A34005 124 14 should should MD A34005 124 15 stand stand VB A34005 124 16 thus thus RB A34005 124 17 . . . A34005 125 1 D d NN A34005 125 2 ● ● NFP A34005 125 3 ffs ff NNS A34005 125 4 Log Log NNP A34005 125 5 ms ms NN A34005 125 6         _SP A34005 125 7 B B NNP A34005 125 8 C C NNP A34005 125 9 126 126 CD A34005 125 10 Legs leg NNS A34005 125 11 169 169 CD A34005 125 12     _SP A34005 125 13 2,2278867 2,2278867 NN A34005 125 14     _SP A34005 125 15 A A NNP A34005 125 16 C C NNP A34005 125 17 194 194 CD A34005 125 18     _SP A34005 125 19 101 101 CD A34005 125 20     _SP A34005 125 21 2,0042214 2,0042214 NNP A34005 125 22 Sum Sum NNP A34005 125 23 with with IN A34005 125 24 double double JJ A34005 125 25 Radius radius NN A34005 125 26 A A NNP A34005 125 27 B B NNP A34005 125 28 270 270 CD A34005 125 29 Base Base NNP A34005 125 30 25 25 CD A34005 125 31 1,3979400 1,3979400 CD A34005 125 32 24,232208 24,232208 CD A34005 125 33 ● ● NFP A34005 125 34     _SP A34005 125 35 Sum Sum NNP A34005 125 36 590 590 CD A34005 125 37                     _SP A34005 125 38 half half NN A34005 125 39 sum sum NN A34005 125 40 295 295 CD A34005 125 41     _SP A34005 125 42 Logarith Logarith NNP A34005 125 43 . . . A34005 126 1 2 2 CD A34005 126 2 4698220 4698220 CD A34005 126 3 3 3 CD A34005 126 4 8677620 8677620 CD A34005 126 5 former former JJ A34005 126 6 Rectangle Rectangle NNP A34005 126 7             _SP A34005 126 8 Residue Residue NNP A34005 126 9 20,3644461 20,3644461 NNP A34005 126 10     _SP A34005 126 11 The the DT A34005 126 12 half half NN A34005 126 13 is be VBZ A34005 126 14 the the DT A34005 126 15 tangent tangent NN A34005 126 16 of of IN A34005 126 17 56 56 CD A34005 126 18 d d XX A34005 126 19 , , , A34005 126 20 41′ 41′ CD A34005 126 21 t. t. NN A34005 126 22             _SP A34005 126 23 10,1822230 10,1822230 NNP A34005 126 24     _SP A34005 126 25 Which which WDT A34005 126 26 Ark Ark NNP A34005 126 27 doubled double VBD A34005 126 28 is be VBZ A34005 126 29             _SP A34005 126 30 113 113 CD A34005 126 31 , , , A34005 126 32 22 22 CD A34005 126 33 A a NN A34005 126 34 C c NN A34005 126 35 B b NN A34005 126 36 the the DT A34005 126 37 Angle Angle NNP A34005 126 38 sought seek VBD A34005 126 39 . . . A34005 127 1 A a DT A34005 127 2 Table table NN A34005 127 3 shewing shew VBG A34005 127 4 the the DT A34005 127 5 Contents Contents NNPS A34005 127 6 of of IN A34005 127 7 the the DT A34005 127 8 Book Book NNP A34005 127 9 . . . A34005 128 1 AN an DT A34005 128 2 account account NN A34005 128 3 of of IN A34005 128 4 the the DT A34005 128 5 original original NN A34005 128 6 of of IN A34005 128 7 the the DT A34005 128 8 Projections Projections NNPS A34005 128 9 , , , A34005 128 10 and and CC A34005 128 11 their -PRON- PRP$ A34005 128 12 Demonstration Demonstration NNP A34005 128 13 . . . A34005 129 1 In in IN A34005 129 2 the the DT A34005 129 3 Preface Preface NNP A34005 129 4 . . . A34005 130 1 The the DT A34005 130 2 Description description NN A34005 130 3 and and CC A34005 130 4 making making NN A34005 130 5 of of IN A34005 130 6 the the DT A34005 130 7 small small JJ A34005 130 8 Quadrant Quadrant NNP A34005 130 9 : : : A34005 130 10 Page page NN A34005 130 11 1 1 CD A34005 130 12 . . . A34005 131 1 The the DT A34005 131 2 Vse vse NN A34005 131 3 of of IN A34005 131 4 the the DT A34005 131 5 perpetual perpetual JJ A34005 131 6 Almanack Almanack NNP A34005 131 7 . . . A34005 132 1 12 12 CD A34005 132 2 The the DT A34005 132 3 Vses Vses NNPS A34005 132 4 of of IN A34005 132 5 the the DT A34005 132 6 Projection Projection NNP A34005 132 7 on on IN A34005 132 8 the the DT A34005 132 9 small small JJ A34005 132 10 Quadrant Quadrant NNP A34005 132 11 . . . A34005 133 1 15 15 CD A34005 133 2 Of of IN A34005 133 3 the the DT A34005 133 4 Stars Stars NNPS A34005 133 5 inscribed inscribe VBD A34005 133 6 thereon thereon NN A34005 133 7 . . . A34005 134 1 24 24 CD A34005 134 2 Of of IN A34005 134 3 the the DT A34005 134 4 Projection Projection NNP A34005 134 5 drawn draw VBN A34005 134 6 in in IN A34005 134 7 a a DT A34005 134 8 Semicircle Semicircle NNP A34005 134 9 . . . A34005 135 1 33 33 CD A34005 135 2 Of of IN A34005 135 3 the the DT A34005 135 4 Stars Stars NNPS A34005 135 5 and and CC A34005 135 6 quadrant quadrant NN A34005 135 7 of of IN A34005 135 8 Ascensions Ascensions NNPS A34005 135 9 drawn draw VBN A34005 135 10 on on IN A34005 135 11 the the DT A34005 135 12 back back NN A34005 135 13 - - HYPH A34005 135 14 side side NN A34005 135 15 of of IN A34005 135 16 the the DT A34005 135 17 quadrant quadrant NN A34005 135 18 . . . A34005 136 1 34 34 CD A34005 136 2 The the DT A34005 136 3 Vses Vses NNPS A34005 136 4 of of IN A34005 136 5 the the DT A34005 136 6 Quadrat Quadrat NNP A34005 136 7 and and CC A34005 136 8 Shaddows Shaddows NNPS A34005 136 9 . . . A34005 137 1 35 35 CD A34005 137 2 Divers diver NNS A34005 137 3 ways way NNS A34005 137 4 to to TO A34005 137 5 measure measure VB A34005 137 6 the the DT A34005 137 7 altitude altitude NN A34005 137 8 of of IN A34005 137 9 a a DT A34005 137 10 Tower Tower NNP A34005 137 11 or or CC A34005 137 12 object object NN A34005 137 13 . . . A34005 138 1 36 36 CD A34005 138 2 Affections affection NNS A34005 138 3 of of IN A34005 138 4 Plain Plain NNP A34005 138 5 Triangles Triangles NNP A34005 138 6 45 45 CD A34005 138 7 Proportions proportion NNS A34005 138 8 for for IN A34005 138 9 the the DT A34005 138 10 Cases case NNS A34005 138 11 of of IN A34005 138 12 right right RB A34005 138 13 angled angle VBN A34005 138 14 plain plain JJ A34005 138 15 Triangles Triangles NNP A34005 138 16 46 46 CD A34005 138 17 Proportions Proportions NNPS A34005 138 18 for for IN A34005 138 19 the the DT A34005 138 20 Cases case NNS A34005 138 21 of of IN A34005 138 22 Oblique Oblique NNP A34005 138 23 Plain Plain NNP A34005 138 24 Triangles Triangles NNP A34005 138 25 49 49 CD A34005 138 26 Doubtful doubtful JJ A34005 138 27 Cases case NNS A34005 138 28 manifested manifest VBD A34005 138 29 , , , A34005 138 30 and and CC A34005 138 31 mistakes mistake NNS A34005 138 32 about about IN A34005 138 33 them -PRON- PRP A34005 138 34 rectified rectify VBD A34005 138 35 50 50 CD A34005 138 36 Four four CD A34005 138 37 several several JJ A34005 138 38 Proportions Proportions NNPS A34005 138 39 for for IN A34005 138 40 finding find VBG A34005 138 41 an an DT A34005 138 42 angle angle NN A34005 138 43 when when WRB A34005 138 44 three three CD A34005 138 45 sides side NNS A34005 138 46 are be VBP A34005 138 47 given give VBN A34005 138 48 , , , A34005 138 49 not not RB A34005 138 50 requiring require VBG A34005 138 51 the the DT A34005 138 52 help help NN A34005 138 53 of of IN A34005 138 54 Perpendiculars Perpendiculars NNP A34005 138 55 52 52 CD A34005 138 56 Affections affection NNS A34005 138 57 of of IN A34005 138 58 Sphoerical Sphoerical NNP A34005 138 59 Triangles Triangles NNPS A34005 138 60 56 56 CD A34005 138 61 Six six CD A34005 138 62 several several JJ A34005 138 63 Proportions Proportions NNPS A34005 138 64 suited suit VBN A34005 138 65 to to IN A34005 138 66 each each DT A34005 138 67 of of IN A34005 138 68 the the DT A34005 138 69 16 16 CD A34005 138 70 Cases case NNS A34005 138 71 of of IN A34005 138 72 right right NN A34005 138 73 angled angle VBN A34005 138 74 Sphoerical Sphoerical NNP A34005 138 75 Triangles Triangles NNPS A34005 138 76 , , , A34005 138 77 with with IN A34005 138 78 all all DT A34005 138 79 necessary necessary JJ A34005 138 80 caution caution NN A34005 138 81 60 60 CD A34005 138 82 Directions Directions NNPS A34005 138 83 for for IN A34005 138 84 varying varying NN A34005 138 85 of of IN A34005 138 86 Proportions Proportions NNP A34005 138 87 . . . A34005 139 1 72 72 CD A34005 139 2 Some some DT A34005 139 3 Cases case NNS A34005 139 4 of of IN A34005 139 5 oblique oblique JJ A34005 139 6 Sphoerical Sphoerical NNP A34005 139 7 Triangles Triangles NNPS A34005 139 8 resolved resolve VBN A34005 139 9 without without IN A34005 139 10 the the DT A34005 139 11 help help NN A34005 139 12 of of IN A34005 139 13 Perpendiculars Perpendiculars NNP A34005 139 14 76 76 CD A34005 139 15 , , , A34005 139 16 83 83 CD A34005 139 17 When when WRB A34005 139 18 some some DT A34005 139 19 of of IN A34005 139 20 the the DT A34005 139 21 Oblique Oblique NNP A34005 139 22 Cases Cases NNPS A34005 139 23 will will MD A34005 139 24 be be VB A34005 139 25 doubtful doubtful JJ A34005 139 26 , , , A34005 139 27 and and CC A34005 139 28 when when WRB A34005 139 29 not not RB A34005 139 30 80 80 CD A34005 139 31 , , , A34005 139 32 81 81 CD A34005 139 33 Six six CD A34005 139 34 of of IN A34005 139 35 those those DT A34005 139 36 Cases case NNS A34005 139 37 demonstrated demonstrate VBD A34005 139 38 to to TO A34005 139 39 be be VB A34005 139 40 doubtful doubtful JJ A34005 139 41 86 86 CD A34005 139 42 , , , A34005 139 43 87 87 CD A34005 139 44 Perpendiculars perpendicular NNS A34005 139 45 needless needless JJ A34005 139 46 in in IN A34005 139 47 any any DT A34005 139 48 of of IN A34005 139 49 those those DT A34005 139 50 Cases case NNS A34005 139 51 , , , A34005 139 52 and and CC A34005 139 53 not not RB A34005 139 54 used use VBN A34005 139 55 88 88 CD A34005 139 56 Some some DT A34005 139 57 new new JJ A34005 139 58 Proportions Proportions NNPS A34005 139 59 applyed apply VBD A34005 139 60 to to IN A34005 139 61 the the DT A34005 139 62 Tables Tables NNP A34005 139 63 88 88 CD A34005 139 64 And and CC A34005 139 65 mistakes mistake NNS A34005 139 66 about about IN A34005 139 67 Calculating calculate VBG A34005 139 68 the the DT A34005 139 69 distances distance NNS A34005 139 70 of of IN A34005 139 71 places place NNS A34005 139 72 noted note VBD A34005 139 73 89 89 CD A34005 139 74 And and CC A34005 139 75 Proportions Proportions NNPS A34005 139 76 esteemed esteem VBD A34005 139 77 improper improper JJ A34005 139 78 to to IN A34005 139 79 the the DT A34005 139 80 artificial artificial JJ A34005 139 81 Tables Tables NNPS A34005 139 82 applyed apply VBN A34005 139 83 for for IN A34005 139 84 that that DT A34005 139 85 purpose purpose NN A34005 139 86 96 96 CD A34005 139 87 Proportions proportion NNS A34005 139 88 both both CC A34005 139 89 Instrumental Instrumental NNP A34005 139 90 and and CC A34005 139 91 others other NNS A34005 139 92 for for IN A34005 139 93 finding find VBG A34005 139 94 a a DT A34005 139 95 Sphoerical sphoerical JJ A34005 139 96 angle angle NN A34005 139 97 when when WRB A34005 139 98 3 3 CD A34005 139 99 sides side NNS A34005 139 100 are be VBP A34005 139 101 given give VBN A34005 139 102 100 100 CD A34005 139 103 , , , A34005 139 104 101 101 CD A34005 139 105 Those those DT A34005 139 106 Instrumental Instrumental NNP A34005 139 107 Proportions Proportions NNP A34005 139 108 how how WRB A34005 139 109 demonstrated demonstrate VBD A34005 139 110 and and CC A34005 139 111 derived derive VBN A34005 139 112 from from IN A34005 139 113 other other JJ A34005 139 114 Proportions Proportions NNPS A34005 139 115 in in IN A34005 139 116 use use NN A34005 139 117 for for IN A34005 139 118 the the DT A34005 139 119 Tables Tables NNPS A34005 139 120 . . . A34005 140 1 103 103 CD A34005 140 2 New New NNP A34005 140 3 Proportions Proportions NNP A34005 140 4 for for IN A34005 140 5 finding find VBG A34005 140 6 the the DT A34005 140 7 Hour Hour NNP A34005 140 8 and and CC A34005 140 9 Azimuth Azimuth NNP A34005 140 10 demonstrated demonstrate VBD A34005 140 11 from from IN A34005 140 12 the the DT A34005 140 13 Analemma Analemma NNP A34005 140 14 . . . A34005 141 1 108 108 CD A34005 141 2 . . . A34005 142 1 And and CC A34005 142 2 applyed apply VBN A34005 142 3 to to IN A34005 142 4 the the DT A34005 142 5 Calculating Calculating NNP A34005 142 6 of of IN A34005 142 7 a a DT A34005 142 8 Table table NN A34005 142 9 of of IN A34005 142 10 Hours hour NNS A34005 142 11 . . . A34005 143 1 117 117 CD A34005 143 2 A a DT A34005 143 3 Table table NN A34005 143 4 Calculated calculate VBN A34005 143 5 thereby thereby RB A34005 143 6 , , , A34005 143 7 showing show VBG A34005 143 8 the the DT A34005 143 9 Suns Suns NNPS A34005 143 10 altitudes altitude NNS A34005 143 11 on on IN A34005 143 12 all all DT A34005 143 13 hours hour NNS A34005 143 14 for for IN A34005 143 15 some some DT A34005 143 16 Declinations declination NNS A34005 143 17 useful useful JJ A34005 143 18 for for IN A34005 143 19 the the DT A34005 143 20 trial trial NN A34005 143 21 and and CC A34005 143 22 construction construction NN A34005 143 23 of of IN A34005 143 24 some some DT A34005 143 25 Instruments instrument NNS A34005 143 26 . . . A34005 144 1 121 121 CD A34005 144 2 A a DT A34005 144 3 Table table NN A34005 144 4 of of IN A34005 144 5 the the DT A34005 144 6 Suns Suns NNPS A34005 144 7 Altitudes Altitudes NNPS A34005 144 8 for for IN A34005 144 9 each each DT A34005 144 10 5d 5d NNS A34005 144 11 of of IN A34005 144 12 Azimuth Azimuth NNP A34005 144 13 fitted fit VBN A34005 144 14 to to IN A34005 144 15 the the DT A34005 144 16 same same JJ A34005 144 17 Declinations declination NNS A34005 144 18 . . . A34005 145 1 122 122 CD A34005 145 2 To to TO A34005 145 3 Calculate calculate VB A34005 145 4 a a DT A34005 145 5 Table table NN A34005 145 6 of of IN A34005 145 7 Azimuths azimuth NNS A34005 145 8 to to IN A34005 145 9 all all DT A34005 145 10 Altitudes altitude NNS A34005 145 11 . . . A34005 146 1 124 124 CD A34005 146 2 And and CC A34005 146 3 a a DT A34005 146 4 Table table NN A34005 146 5 of of IN A34005 146 6 Altitudes altitude NNS A34005 146 7 to to IN A34005 146 8 all all DT A34005 146 9 Azimuths azimuth NNS A34005 146 10 . . . A34005 147 1 128 128 CD A34005 147 2 And and CC A34005 147 3 the the DT A34005 147 4 Proportions Proportions NNPS A34005 147 5 used use VBD A34005 147 6 laid lay VBD A34005 147 7 down down RP A34005 147 8 from from IN A34005 147 9 the the DT A34005 147 10 Analemma Analemma NNP A34005 147 11 . . . A34005 148 1 132 132 CD A34005 148 2 Affections affection NNS A34005 148 3 of of IN A34005 148 4 some some DT A34005 148 5 doubtful doubtful JJ A34005 148 6 Cases case NNS A34005 148 7 of of IN A34005 148 8 Sphoerical sphoerical JJ A34005 148 9 Triangles Triangles NNPS A34005 148 10 determined determine VBD A34005 148 11 . . . A34005 149 1 138 138 CD A34005 149 2 The the DT A34005 149 3 ground ground NN A34005 149 4 of of IN A34005 149 5 working work VBG A34005 149 6 Proportions Proportions NNP A34005 149 7 on on IN A34005 149 8 a a DT A34005 149 9 quadrant quadrant NN A34005 149 10 . . . A34005 150 1 144 144 CD A34005 150 2 Proportions proportion NNS A34005 150 3 is be VBZ A34005 150 4 equal equal JJ A34005 150 5 Parts part NNS A34005 150 6 resolved resolve VBN A34005 150 7 instrumentally instrumentally RB A34005 150 8 . . . A34005 151 1 146 146 CD A34005 151 2 , , , A34005 151 3 147 147 CD A34005 151 4 All all DT A34005 151 5 Proportions Proportions NNPS A34005 151 6 in in IN A34005 151 7 Tangents Tangents NNP A34005 151 8 alone alone RB A34005 151 9 resolveable resolveable JJ A34005 151 10 by by IN A34005 151 11 the the DT A34005 151 12 tangent tangent NN A34005 151 13 line line NN A34005 151 14 on on IN A34005 151 15 the the DT A34005 151 16 quadrant quadrant NN A34005 151 17 , , , A34005 151 18 or or CC A34005 151 19 by by IN A34005 151 20 a a DT A34005 151 21 tangent tangent NN A34005 151 22 of of IN A34005 151 23 45d 45d CD A34005 151 24 . . . A34005 152 1 148 148 CD A34005 152 2 Proportions Proportions NNPS A34005 152 3 in in IN A34005 152 4 Sines Sines NNPS A34005 152 5 and and CC A34005 152 6 Tangents Tangents NNP A34005 152 7 wrought work VBD A34005 152 8 on on IN A34005 152 9 the the DT A34005 152 10 quadrant quadrant NN A34005 152 11 . . . A34005 153 1 151 151 CD A34005 153 2 Proportions proportion NNS A34005 153 3 in in IN A34005 153 4 equal equal JJ A34005 153 5 parts part NNS A34005 153 6 and and CC A34005 153 7 tangents tangent NNS A34005 153 8 resolved resolve VBN A34005 153 9 by by IN A34005 153 10 the the DT A34005 153 11 quadrant quadrant NN A34005 153 12 . . . A34005 154 1 152 152 CD A34005 154 2 Proportions proportion NNS A34005 154 3 in in IN A34005 154 4 equal equal JJ A34005 154 5 Parts Parts NNPS A34005 154 6 and and CC A34005 154 7 Sines Sines NNPS A34005 154 8 so so RB A34005 154 9 resolved resolve VBD A34005 154 10 , , , A34005 154 11 being be VBG A34005 154 12 useful useful JJ A34005 154 13 in in IN A34005 154 14 Navigation Navigation NNP A34005 154 15 . . . A34005 155 1 156 156 CD A34005 155 2 , , , A34005 155 3 157 157 CD A34005 155 4 Of of IN A34005 155 5 a a DT A34005 155 6 line line NN A34005 155 7 of of IN A34005 155 8 Sines Sines NNP A34005 155 9 , , , A34005 155 10 and and CC A34005 155 11 how how WRB A34005 155 12 from from IN A34005 155 13 it -PRON- PRP A34005 155 14 or or CC A34005 155 15 the the DT A34005 155 16 Limb Limb NNP A34005 155 17 to to TO A34005 155 18 take take VB A34005 155 19 off off RP A34005 155 20 a a DT A34005 155 21 Sine Sine NNP A34005 155 22 , , , A34005 155 23 Tangent Tangent NNP A34005 155 24 or or CC A34005 155 25 Secant Secant NNP A34005 155 26 . . . A34005 156 1 158 158 CD A34005 156 2 Proportions Proportions NNPS A34005 156 3 in in IN A34005 156 4 Sines Sines NNPS A34005 156 5 wrought work VBD A34005 156 6 on on IN A34005 156 7 the the DT A34005 156 8 quadrant quadrant NN A34005 156 9 . . . A34005 157 1 161 161 CD A34005 157 2 How how WRB A34005 157 3 to to TO A34005 157 4 proportion proportion VB A34005 157 5 out out RP A34005 157 6 lines line NNS A34005 157 7 to to IN A34005 157 8 any any DT A34005 157 9 Radius Radius NNP A34005 157 10 from from IN A34005 157 11 lines line NNS A34005 157 12 inscribed inscribe VBN A34005 157 13 in in IN A34005 157 14 the the DT A34005 157 15 Limbe Limbe NNP A34005 157 16 . . . A34005 158 1 167 167 CD A34005 158 2 To to TO A34005 158 3 operate operate VB A34005 158 4 Proportions Proportions NNP A34005 158 5 in in IN A34005 158 6 Sines Sines NNPS A34005 158 7 and and CC A34005 158 8 Tangents Tangents NNP A34005 158 9 on on IN A34005 158 10 the the DT A34005 158 11 quadrant quadrant NN A34005 158 12 . . . A34005 159 1 168 168 CD A34005 159 2 A a DT A34005 159 3 general general JJ A34005 159 4 way way NN A34005 159 5 for for IN A34005 159 6 finding find VBG A34005 159 7 the the DT A34005 159 8 Hour Hour NNP A34005 159 9 . . . A34005 160 1 173 173 CD A34005 160 2 As as IN A34005 160 3 also also RB A34005 160 4 of of IN A34005 160 5 the the DT A34005 160 6 Azimuth Azimuth NNP A34005 160 7 . . . A34005 161 1 174 174 CD A34005 161 2 Particular Particular NNP A34005 161 3 Scales Scales NNP A34005 161 4 fitted fit VBD A34005 161 5 for for IN A34005 161 6 finding find VBG A34005 161 7 the the DT A34005 161 8 same same JJ A34005 161 9 . . . A34005 162 1 177 177 LS A34005 162 2 Another another DT A34005 162 3 general general JJ A34005 162 4 way way NN A34005 162 5 for for IN A34005 162 6 finding find VBG A34005 162 7 the the DT A34005 162 8 Hour Hour NNP A34005 162 9 . . . A34005 163 1 181 181 CD A34005 163 2 And and CC A34005 163 3 for for IN A34005 163 4 finding find VBG A34005 163 5 the the DT A34005 163 6 Suns Suns NNPS A34005 163 7 Altitudes Altitudes NNPS A34005 163 8 on on IN A34005 163 9 all all DT A34005 163 10 Hours hour NNS A34005 163 11 . . . A34005 164 1 183 183 LS A34005 164 2 Another another DT A34005 164 3 general general JJ A34005 164 4 way way NN A34005 164 5 for for IN A34005 164 6 finding find VBG A34005 164 7 the the DT A34005 164 8 Azimuth Azimuth NNP A34005 164 9 . . . A34005 165 1 183 183 CD A34005 165 2 And and CC A34005 165 3 of of IN A34005 165 4 distances distance NNS A34005 165 5 of of IN A34005 165 6 places place NNS A34005 165 7 by by IN A34005 165 8 the the DT A34005 165 9 quadrant quadrant NN A34005 165 10 . . . A34005 166 1 188 188 CD A34005 166 2 How how WRB A34005 166 3 from from IN A34005 166 4 a a DT A34005 166 5 quadrant quadrant NN A34005 166 6 to to TO A34005 166 7 take take VB A34005 166 8 off off RP A34005 166 9 Chords Chords NNPS A34005 166 10 ▪ ▪ NN A34005 166 11 190 190 CD A34005 166 12 The the DT A34005 166 13 Description description NN A34005 166 14 of of IN A34005 166 15 the the DT A34005 166 16 Diagonal Diagonal NNP A34005 166 17 Scale Scale NNP A34005 166 18 . . . A34005 167 1 193 193 CD A34005 167 2 , , , A34005 167 3 194 194 CD A34005 167 4 The the DT A34005 167 5 said say VBD A34005 167 6 Scale scale NN A34005 167 7 fitted fit VBD A34005 167 8 for for IN A34005 167 9 the the DT A34005 167 10 ready ready JJ A34005 167 11 finding find VBG A34005 167 12 the the DT A34005 167 13 Hour Hour NNP A34005 167 14 and and CC A34005 167 15 Azimuth Azimuth NNP A34005 167 16 for for IN A34005 167 17 all all DT A34005 167 18 parts part NNS A34005 167 19 of of IN A34005 167 20 England England NNP A34005 167 21 , , , A34005 167 22 Wales Wales NNP A34005 167 23 , , , A34005 167 24 Ireland Ireland NNP A34005 167 25 , , , A34005 167 26 and and CC A34005 167 27 the the DT A34005 167 28 uses use NNS A34005 167 29 thereof thereof RB A34005 167 30 . . . A34005 168 1 195 195 CD A34005 168 2 , , , A34005 168 3 196 196 CD A34005 168 4 The the DT A34005 168 5 description description NN A34005 168 6 and and CC A34005 168 7 uses use NNS A34005 168 8 of of IN A34005 168 9 the the DT A34005 168 10 particular particular JJ A34005 168 11 Scales Scales NNP A34005 168 12 in in IN A34005 168 13 Dyalling dyalling NN A34005 168 14 . . . A34005 169 1 197 197 CD A34005 169 2 Also also RB A34005 169 3 the the DT A34005 169 4 uses use NNS A34005 169 5 of of IN A34005 169 6 other other JJ A34005 169 7 Scales Scales NNPS A34005 169 8 fitted fit VBD A34005 169 9 for for IN A34005 169 10 finding find VBG A34005 169 11 the the DT A34005 169 12 Hour Hour NNP A34005 169 13 and and CC A34005 169 14 Azimuth Azimuth NNP A34005 169 15 near near IN A34005 169 16 noon noon NN A34005 169 17 . . . A34005 170 1 200 200 CD A34005 170 2 Hitherto Hitherto NNP A34005 170 3 the the DT A34005 170 4 Uses Uses NNPS A34005 170 5 of of IN A34005 170 6 the the DT A34005 170 7 small small JJ A34005 170 8 Quadrant Quadrant NNP A34005 170 9 . . . A34005 171 1 THe the DT A34005 171 2 Description description NN A34005 171 3 of of IN A34005 171 4 the the DT A34005 171 5 great great JJ A34005 171 6 Equinoctial Equinoctial NNP A34005 171 7 Quadrant Quadrant NNP A34005 171 8 . . . A34005 172 1 2 2 CD A34005 172 2 The the DT A34005 172 3 Vses vse NNS A34005 172 4 of of IN A34005 172 5 a a DT A34005 172 6 line line NN A34005 172 7 of of IN A34005 172 8 Versed Versed NNP A34005 172 9 Sines Sines NNPS A34005 172 10 from from IN A34005 172 11 the the DT A34005 172 12 Center Center NNP A34005 172 13 . . . A34005 173 1 208 208 CD A34005 173 2 And and CC A34005 173 3 of of IN A34005 173 4 Versed Versed NNP A34005 173 5 Sines Sines NNPS A34005 173 6 in in IN A34005 173 7 the the DT A34005 173 8 Limb Limb NNP A34005 173 9 . . . A34005 174 1 214 214 CD A34005 174 2 The the DT A34005 174 3 Vses vse NNS A34005 174 4 of of IN A34005 174 5 a a DT A34005 174 6 fitted fitted JJ A34005 174 7 particular particular JJ A34005 174 8 Scale Scale NNP A34005 174 9 , , , A34005 174 10 with with IN A34005 174 11 the the DT A34005 174 12 Scale scale NN A34005 174 13 of of IN A34005 174 14 entrance entrance NN A34005 174 15 , , , A34005 174 16 for for IN A34005 174 17 finding find VBG A34005 174 18 the the DT A34005 174 19 Hour Hour NNP A34005 174 20 and and CC A34005 174 21 Azimuth Azimuth NNP A34005 174 22 in in IN A34005 174 23 the the DT A34005 174 24 equal equal JJ A34005 174 25 Limb Limb NNP A34005 174 26 . . . A34005 175 1 216 216 CD A34005 175 2 As as RB A34005 175 3 also also RB A34005 175 4 for for IN A34005 175 5 finding find VBG A34005 175 6 the the DT A34005 175 7 same same JJ A34005 175 8 in in IN A34005 175 9 the the DT A34005 175 10 Versed Versed NNP A34005 175 11 Sines Sines NNPS A34005 175 12 of of IN A34005 175 13 90d 90d NNPS A34005 175 14 in in IN A34005 175 15 the the DT A34005 175 16 Limb Limb NNP A34005 175 17 . . . A34005 176 1 220 220 CD A34005 176 2 , , , A34005 176 3 221 221 CD A34005 176 4 And and CC A34005 176 5 of of IN A34005 176 6 the the DT A34005 176 7 Diagonal Diagonal NNP A34005 176 8 Scale Scale NNP A34005 176 9 therewith therewith NN A34005 176 10 . . . A34005 177 1 222 222 CD A34005 177 2 , , , A34005 177 3 223 223 CD A34005 177 4 New new JJ A34005 177 5 general general NN A34005 177 6 Proportions Proportions NNP A34005 177 7 for for IN A34005 177 8 finding find VBG A34005 177 9 the the DT A34005 177 10 Hour Hour NNP A34005 177 11 and and CC A34005 177 12 Azimuth Azimuth NNP A34005 177 13 . . . A34005 178 1 225 225 CD A34005 178 2 Divers diver NNS A34005 178 3 Proportions Proportions NNP A34005 178 4 demonstrated demonstrate VBD A34005 178 5 from from IN A34005 178 6 the the DT A34005 178 7 Analemma Analemma NNP A34005 178 8 . . . A34005 179 1 227 227 CD A34005 179 2 Several several JJ A34005 179 3 general general JJ A34005 179 4 Proportions Proportions NNP A34005 179 5 for for IN A34005 179 6 finding find VBG A34005 179 7 the the DT A34005 179 8 Hour Hour NNP A34005 179 9 applyed apply VBD A34005 179 10 . . . A34005 180 1 230 230 CD A34005 180 2 And and CC A34005 180 3 several several JJ A34005 180 4 Proportions Proportions NNPS A34005 180 5 applyed apply VBD A34005 180 6 for for IN A34005 180 7 finding find VBG A34005 180 8 the the DT A34005 180 9 Altitudes altitude NNS A34005 180 10 on on IN A34005 180 11 all all DT A34005 180 12 Hours hour NNS A34005 180 13 . . . A34005 181 1 233 233 CD A34005 181 2 General General NNP A34005 181 3 Proportions Proportions NNP A34005 181 4 for for IN A34005 181 5 finding find VBG A34005 181 6 the the DT A34005 181 7 Azimuth Azimuth NNP A34005 181 8 237 237 CD A34005 181 9 A a DT A34005 181 10 new new JJ A34005 181 11 single single JJ A34005 181 12 Proportion proportion NN A34005 181 13 in in IN A34005 181 14 Sines Sines NNP A34005 181 15 for for IN A34005 181 16 Calculating calculate VBG A34005 181 17 a a DT A34005 181 18 table table NN A34005 181 19 of of IN A34005 181 20 hours hour NNS A34005 181 21 . . . A34005 182 1 243 243 CD A34005 182 2 The the DT A34005 182 3 Stars Stars NNPS A34005 182 4 how how WRB A34005 182 5 put put VBN A34005 182 6 on on RP A34005 182 7 and and CC A34005 182 8 the the DT A34005 182 9 hour hour NN A34005 182 10 found find VBN A34005 182 11 by by IN A34005 182 12 them -PRON- PRP A34005 182 13 . . . A34005 183 1 244 244 CD A34005 183 2 , , , A34005 183 3 245 245 CD A34005 183 4 The the DT A34005 183 5 Construction Construction NNP A34005 183 6 of of IN A34005 183 7 the the DT A34005 183 8 Graduated Graduated NNP A34005 183 9 Circle Circle NNP A34005 183 10 . . . A34005 184 1 248 248 CD A34005 184 2 The the DT A34005 184 3 line line NN A34005 184 4 of of IN A34005 184 5 Latitudes Latitudes NNP A34005 184 6 demonstrated demonstrate VBD A34005 184 7 . . . A34005 185 1 249 249 CD A34005 185 2 Vses vse NNS A34005 185 3 of of IN A34005 185 4 the the DT A34005 185 5 graduated graduate VBN A34005 185 6 Circle Circle NNP A34005 185 7 and and CC A34005 185 8 Diameter Diameter NNP A34005 185 9 in in IN A34005 185 10 resolving resolve VBG A34005 185 11 of of IN A34005 185 12 Proportions Proportions NNP A34005 185 13 , , , A34005 185 14 and and CC A34005 185 15 in in IN A34005 185 16 finding find VBG A34005 185 17 the the DT A34005 185 18 Hour Hour NNP A34005 185 19 and and CC A34005 185 20 Azimuth Azimuth NNP A34005 185 21 universally universally RB A34005 185 22 . . . A34005 186 1 253 253 CD A34005 186 2 Vses vse NNS A34005 186 3 of of IN A34005 186 4 other other JJ A34005 186 5 Lines line NNS A34005 186 6 within within IN A34005 186 7 the the DT A34005 186 8 said say VBN A34005 186 9 Circle Circle NNP A34005 186 10 . . . A34005 187 1 261 261 CD A34005 187 2 To to TO A34005 187 3 prick prick VB A34005 187 4 down down RP A34005 187 5 a a DT A34005 187 6 Horizontal Horizontal NNP A34005 187 7 Dyal Dyal NNP A34005 187 8 in in IN A34005 187 9 a a DT A34005 187 10 Square Square NNP A34005 187 11 or or CC A34005 187 12 a a DT A34005 187 13 Triangle Triangle NNP A34005 187 14 by by IN A34005 187 15 the the DT A34005 187 16 Dyalling dyalle VBG A34005 187 17 lines line NNS A34005 187 18 on on IN A34005 187 19 the the DT A34005 187 20 Quadrants Quadrants NNPS A34005 187 21 . . . A34005 188 1 262 262 CD A34005 188 2 Proportions proportion NNS A34005 188 3 for for IN A34005 188 4 upright upright JJ A34005 188 5 Decliners Decliners NNPS A34005 188 6 . . . A34005 189 1 265 265 CD A34005 189 2 To to TO A34005 189 3 prick prick VB A34005 189 4 down down RP A34005 189 5 upright upright JJ A34005 189 6 Decliners Decliners NNPS A34005 189 7 in in IN A34005 189 8 a a DT A34005 189 9 Square Square NNP A34005 189 10 or or CC A34005 189 11 rather rather RB A34005 189 12 right right RB A34005 189 13 angled angle VBD A34005 189 14 Parralellogram Parralellogram NNP A34005 189 15 , , , A34005 189 16 is be VBZ A34005 189 17 likewise likewise RB A34005 189 18 in in IN A34005 189 19 a a DT A34005 189 20 Triangle Triangle NNP A34005 189 21 from from IN A34005 189 22 the the DT A34005 189 23 Substile Substile NNP A34005 189 24 . . . A34005 190 1 268 268 CD A34005 190 2 To to TO A34005 190 3 prick prick VB A34005 190 4 them -PRON- PRP A34005 190 5 down down RP A34005 190 6 in in IN A34005 190 7 a a DT A34005 190 8 Triangle Triangle NNP A34005 190 9 or or CC A34005 190 10 Paralellogram Paralellogram NNP A34005 190 11 from from IN A34005 190 12 the the DT A34005 190 13 Meridian Meridian NNP A34005 190 14 . . . A34005 191 1 272 272 CD A34005 191 2 An an DT A34005 191 3 Advertisement Advertisement NNP A34005 191 4 about about IN A34005 191 5 observing observe VBG A34005 191 6 of of IN A34005 191 7 altitudes altitude NNS A34005 191 8 . . . A34005 192 1 275 275 CD A34005 192 2 The the DT A34005 192 3 description description NN A34005 192 4 and and CC A34005 192 5 making making NN A34005 192 6 of of IN A34005 192 7 the the DT A34005 192 8 Horizontal horizontal JJ A34005 192 9 quadrant quadrant NN A34005 192 10 . . . A34005 193 1 Page page NN A34005 193 2 1 1 CD A34005 193 3 The the DT A34005 193 4 perpetual perpetual JJ A34005 193 5 Almanack Almanack NNP A34005 193 6 in in IN A34005 193 7 another another DT A34005 193 8 form form NN A34005 193 9 12 12 CD A34005 193 10 A a DT A34005 193 11 tide tide NN A34005 193 12 Table table NN A34005 193 13 with with IN A34005 193 14 the the DT A34005 193 15 use use NN A34005 193 16 of of IN A34005 193 17 the the DT A34005 193 18 Epacts Epacts NNPS A34005 193 19 in in IN A34005 193 20 finding find VBG A34005 193 21 the the DT A34005 193 22 Moons Moons NNP A34005 193 23 age age NN A34005 193 24 . . . A34005 194 1 11 11 CD A34005 194 2 The the DT A34005 194 3 uses use NNS A34005 194 4 of of IN A34005 194 5 the the DT A34005 194 6 Horizontal Horizontal NNP A34005 194 7 Projection Projection NNP A34005 194 8 . . . A34005 195 1 18 18 CD A34005 195 2 The the DT A34005 195 3 uses use NNS A34005 195 4 of of IN A34005 195 5 the the DT A34005 195 6 particular particular JJ A34005 195 7 curved curved JJ A34005 195 8 line line NN A34005 195 9 and and CC A34005 195 10 fitted fit VBD A34005 195 11 Scales Scales NNP A34005 195 12 thereto thereto NN A34005 195 13 . . . A34005 196 1 20 20 CD A34005 196 2 Some some DT A34005 196 3 Proportions Proportions NNPS A34005 196 4 demonstrated demonstrate VBD A34005 196 5 from from IN A34005 196 6 the the DT A34005 196 7 Analemma Analemma NNP A34005 196 8 . . . A34005 197 1 26 26 CD A34005 197 2 A a DT A34005 197 3 particular particular JJ A34005 197 4 Scale scale NN A34005 197 5 for for IN A34005 197 6 finding find VBG A34005 197 7 the the DT A34005 197 8 Hour Hour NNP A34005 197 9 and and CC A34005 197 10 Azimuth Azimuth NNP A34005 197 11 fitted fit VBN A34005 197 12 thereto thereto NN A34005 197 13 , , , A34005 197 14 with with IN A34005 197 15 its -PRON- PRP$ A34005 197 16 uses use NNS A34005 197 17 . . . A34005 198 1 27 27 CD A34005 198 2 The the DT A34005 198 3 uses use NNS A34005 198 4 of of IN A34005 198 5 the the DT A34005 198 6 Scale Scale NNP A34005 198 7 of of IN A34005 198 8 entrance entrance NN A34005 198 9 , , , A34005 198 10 being be VBG A34005 198 11 another another DT A34005 198 12 particular particular JJ A34005 198 13 fitted fitted JJ A34005 198 14 Scale Scale NNP A34005 198 15 for for IN A34005 198 16 finding find VBG A34005 198 17 the the DT A34005 198 18 Hour Hour NNP A34005 198 19 and and CC A34005 198 20 Azimuth Azimuth NNP A34005 198 21 in in IN A34005 198 22 the the DT A34005 198 23 Limb Limb NNP A34005 198 24 . . . A34005 199 1 32 32 CD A34005 199 2 A a DT A34005 199 3 Chord Chord NNP A34005 199 4 taken take VBN A34005 199 5 off off RP A34005 199 6 from from IN A34005 199 7 the the DT A34005 199 8 equal equal JJ A34005 199 9 Limb Limb NNP A34005 199 10 and and CC A34005 199 11 the the DT A34005 199 12 Hour Hour NNP A34005 199 13 and and CC A34005 199 14 Azimuth Azimuth NNP A34005 199 15 found find VBD A34005 199 16 universally universally RB A34005 199 17 thereby thereby RB A34005 199 18 . . . A34005 200 1 34 34 CD A34005 200 2 A a DT A34005 200 3 new new JJ A34005 200 4 general general JJ A34005 200 5 Proportion proportion NN A34005 200 6 for for IN A34005 200 7 the the DT A34005 200 8 Azimuth Azimuth NNP A34005 200 9 to to TO A34005 200 10 find find VB A34005 200 11 it -PRON- PRP A34005 200 12 in in IN A34005 200 13 the the DT A34005 200 14 equal equal JJ A34005 200 15 Limb Limb NNP A34005 200 16 . . . A34005 201 1 36 36 CD A34005 201 2 Another another DT A34005 201 3 for for IN A34005 201 4 the the DT A34005 201 5 Converse Converse NNP A34005 201 6 of of IN A34005 201 7 the the DT A34005 201 8 fourth fourth JJ A34005 201 9 Axiom Axiom NNP A34005 201 10 . . . A34005 202 1 38 38 CD A34005 202 2 The the DT A34005 202 3 Stars star NNS A34005 202 4 how how WRB A34005 202 5 inscribed inscribe VBN A34005 202 6 , , , A34005 202 7 and and CC A34005 202 8 the the DT A34005 202 9 hour hour NN A34005 202 10 of of IN A34005 202 11 the the DT A34005 202 12 night night NN A34005 202 13 found find VBN A34005 202 14 by by IN A34005 202 15 them -PRON- PRP A34005 202 16 . . . A34005 203 1 39 39 CD A34005 203 2 Some some DT A34005 203 3 uses use NNS A34005 203 4 of of IN A34005 203 5 the the DT A34005 203 6 Dyalling Dyalling NNP A34005 203 7 Lines Lines NNPS A34005 203 8 . . . A34005 204 1 44 44 CD A34005 204 2 , , , A34005 204 3 45 45 CD A34005 204 4 The the DT A34005 204 5 use use NN A34005 204 6 of of IN A34005 204 7 the the DT A34005 204 8 Line Line NNP A34005 204 9 of of IN A34005 204 10 Superficies Superficies NNPS A34005 204 11 . . . A34005 205 1 46 46 CD A34005 205 2 , , , A34005 205 3 47 47 CD A34005 205 4 And and CC A34005 205 5 of of IN A34005 205 6 the the DT A34005 205 7 Line Line NNP A34005 205 8 of of IN A34005 205 9 Solids solid NNS A34005 205 10 . . . A34005 206 1 48 48 CD A34005 206 2 And and CC A34005 206 3 of of IN A34005 206 4 the the DT A34005 206 5 line line NN A34005 206 6 of of IN A34005 206 7 inscribed inscribed JJ A34005 206 8 Bodies Bodies NNPS A34005 206 9 and and CC A34005 206 10 other other JJ A34005 206 11 Sector Sector NNP A34005 206 12 Lines line NNS A34005 206 13 . . . A34005 207 1 49 49 CD A34005 207 2 , , , A34005 207 3 50 50 CD A34005 207 4 A a DT A34005 207 5 Table table NN A34005 207 6 of of IN A34005 207 7 the the DT A34005 207 8 Latitudes Latitudes NNPS A34005 207 9 of of IN A34005 207 10 the the DT A34005 207 11 most most RBS A34005 207 12 eminent eminent JJ A34005 207 13 places place NNS A34005 207 14 in in IN A34005 207 15 England England NNP A34005 207 16 , , , A34005 207 17 Scotland Scotland NNP A34005 207 18 , , , A34005 207 19 Wales Wales NNP A34005 207 20 , , , A34005 207 21 and and CC A34005 207 22 Ireland Ireland NNP A34005 207 23 . . . A34005 208 1 52 52 CD A34005 208 2 , , , A34005 208 3 53 53 CD A34005 208 4 A a DT A34005 208 5 Table table NN A34005 208 6 of of IN A34005 208 7 the the DT A34005 208 8 right right JJ A34005 208 9 Ascensions Ascensions NNPS A34005 208 10 and and CC A34005 208 11 Declinations Declinations NNPS A34005 208 12 of of IN A34005 208 13 54 54 CD A34005 208 14 of of IN A34005 208 15 the the DT A34005 208 16 most most RBS A34005 208 17 eminent eminent JJ A34005 208 18 fixed fix VBN A34005 208 19 Stars star NNS A34005 208 20 . . . A34005 209 1 53 53 CD A34005 209 2 , , , A34005 209 3 54 54 CD A34005 209 4 Lastly lastly RB A34005 209 5 , , , A34005 209 6 A a DT A34005 209 7 Table table NN A34005 209 8 of of IN A34005 209 9 the the DT A34005 209 10 Suns Suns NNPS A34005 209 11 Declination Declination NNP A34005 209 12 and and CC A34005 209 13 right right JJ A34005 209 14 Ascension ascension NN A34005 209 15 for for IN A34005 209 16 the the DT A34005 209 17 year year NN A34005 209 18 1666 1666 CD A34005 209 19 , , , A34005 209 20 with with IN A34005 209 21 a a DT A34005 209 22 Table table NN A34005 209 23 of of IN A34005 209 24 equation equation NN A34005 209 25 to to TO A34005 209 26 make make VB A34005 209 27 it -PRON- PRP A34005 209 28 serve serve VB A34005 209 29 sooner soon RBR A34005 209 30 or or CC A34005 209 31 longer long RBR A34005 209 32 . . . A34005 210 1 An an DT A34005 210 2 Errour Errour NNP A34005 210 3 Page Page NNP A34005 210 4 248 248 CD A34005 210 5 , , , A34005 210 6 Line Line NNP A34005 210 7 30 30 CD A34005 210 8 and and CC A34005 210 9 31 31 CD A34005 210 10 for for IN A34005 210 11 so so RB A34005 210 12 is be VBZ A34005 210 13 L L NNP A34005 210 14 N N NNP A34005 210 15 to to IN A34005 210 16 L L NNP A34005 210 17 F F NNP A34005 210 18 read read NN A34005 210 19 so so RB A34005 210 20 is be VBZ A34005 210 21 L L NNP A34005 210 22 N N NNP A34005 210 23 to to IN A34005 210 24 N N NNP A34005 210 25 F. F. NNP A34005 210 26 Of of IN A34005 210 27 the the DT A34005 210 28 Lines line NNS A34005 210 29 on on IN A34005 210 30 the the DT A34005 210 31 foreside foreside NN A34005 210 32 of of IN A34005 210 33 the the DT A34005 210 34 QUADRANT QUADRANT NNP A34005 210 35 . . . A34005 211 1 ON on IN A34005 211 2 the the DT A34005 211 3 right right JJ A34005 211 4 edge edge NN A34005 211 5 from from IN A34005 211 6 the the DT A34005 211 7 Center Center NNP A34005 211 8 is be VBZ A34005 211 9 placed place VBN A34005 211 10 a a DT A34005 211 11 Line line NN A34005 211 12 of of IN A34005 211 13 equal equal JJ A34005 211 14 parts part NNS A34005 211 15 , , , A34005 211 16 of of IN A34005 211 17 5 5 CD A34005 211 18 inches inch NNS A34005 211 19 in in IN A34005 211 20 length length NN A34005 211 21 , , , A34005 211 22 divided divide VBN A34005 211 23 into into IN A34005 211 24 100 100 CD A34005 211 25 equal equal JJ A34005 211 26 parts part NNS A34005 211 27 . . . A34005 212 1 On on IN A34005 212 2 the the DT A34005 212 3 left left JJ A34005 212 4 edge edge NN A34005 212 5 a a DT A34005 212 6 Line Line NNP A34005 212 7 of of IN A34005 212 8 Tangents Tangents NNP A34005 212 9 , , , A34005 212 10 continued continue VBD A34005 212 11 to to IN A34005 212 12 two two CD A34005 212 13 Radii Radii NNP A34005 212 14 , , , A34005 212 15 or or CC A34005 212 16 to to IN A34005 212 17 63d 63d CD A34005 212 18 26 26 CD A34005 212 19 m m NN A34005 212 20 the the DT A34005 212 21 Radius Radius NNP A34005 212 22 whereof whereof NN A34005 212 23 is be VBZ A34005 212 24 2½ 2½ CD A34005 212 25 inches inch NNS A34005 212 26 . . . A34005 213 1 These these DT A34005 213 2 two two CD A34005 213 3 Lines line NNS A34005 213 4 make make VBP A34005 213 5 a a DT A34005 213 6 right right JJ A34005 213 7 Angle angle NN A34005 213 8 in in IN A34005 213 9 the the DT A34005 213 10 Center Center NNP A34005 213 11 , , , A34005 213 12 and and CC A34005 213 13 between between IN A34005 213 14 them -PRON- PRP A34005 213 15 include include VBP A34005 213 16 the the DT A34005 213 17 Projection Projection NNP A34005 213 18 , , , A34005 213 19 which which WDT A34005 213 20 is be VBZ A34005 213 21 no no DT A34005 213 22 other other JJ A34005 213 23 then then RB A34005 213 24 a a DT A34005 213 25 fourth fourth JJ A34005 213 26 part part NN A34005 213 27 of of IN A34005 213 28 Stoflers Stoflers NNPS A34005 213 29 particular particular JJ A34005 213 30 Astrolabe Astrolabe NNP A34005 213 31 inverted invert VBD A34005 213 32 . . . A34005 214 1 Next next RB A34005 214 2 above above IN A34005 214 3 this this DT A34005 214 4 Projection Projection NNP A34005 214 5 , , , A34005 214 6 towards towards IN A34005 214 7 the the DT A34005 214 8 Center Center NNP A34005 214 9 , , , A34005 214 10 is be VBZ A34005 214 11 put put VBN A34005 214 12 on on RP A34005 214 13 in in IN A34005 214 14 the the DT A34005 214 15 Quadrant Quadrant NNP A34005 214 16 of of IN A34005 214 17 a a DT A34005 214 18 Circle Circle NNP A34005 214 19 , , , A34005 214 20 the the DT A34005 214 21 Suns Suns NNPS A34005 214 22 declinations declination NNS A34005 214 23 . . . A34005 215 1 And and CC A34005 215 2 above above IN A34005 215 3 that that DT A34005 215 4 in in IN A34005 215 5 four four CD A34005 215 6 other other JJ A34005 215 7 Quadrants quadrant NNS A34005 215 8 of of IN A34005 215 9 Circles Circles NNP A34005 215 10 , , , A34005 215 11 the the DT A34005 215 12 days day NNS A34005 215 13 of of IN A34005 215 14 the the DT A34005 215 15 Moneth Moneth NNP A34005 215 16 , , , A34005 215 17 respecting respect VBG A34005 215 18 the the DT A34005 215 19 four four CD A34005 215 20 seasons season NNS A34005 215 21 of of IN A34005 215 22 the the DT A34005 215 23 year year NN A34005 215 24 . . . A34005 216 1 Underneath underneath IN A34005 216 2 the the DT A34005 216 3 Projection Projection NNP A34005 216 4 , , , A34005 216 5 towards towards IN A34005 216 6 the the DT A34005 216 7 Limbe Limbe NNP A34005 216 8 is be VBZ A34005 216 9 put put VBN A34005 216 10 on on RP A34005 216 11 , , , A34005 216 12 in in IN A34005 216 13 one one CD A34005 216 14 half half NN A34005 216 15 of of IN A34005 216 16 a a DT A34005 216 17 Quadrant Quadrant NNP A34005 216 18 , , , A34005 216 19 one one CD A34005 216 20 of of IN A34005 216 21 the the DT A34005 216 22 sides side NNS A34005 216 23 of of IN A34005 216 24 the the DT A34005 216 25 Geometrical Geometrical NNP A34005 216 26 Quadrat Quadrat NNP A34005 216 27 , , , A34005 216 28 and and CC A34005 216 29 in in IN A34005 216 30 the the DT A34005 216 31 other other JJ A34005 216 32 half half NN A34005 216 33 the the DT A34005 216 34 Line Line NNP A34005 216 35 of of IN A34005 216 36 shadows shadow NNS A34005 216 37 . . . A34005 217 1 All all DT A34005 217 2 which which WDT A34005 217 3 is be VBZ A34005 217 4 bounded bound VBN A34005 217 5 in in RP A34005 217 6 by by IN A34005 217 7 the the DT A34005 217 8 equal equal JJ A34005 217 9 Limbe Limbe NNP A34005 217 10 . . . A34005 218 1 There there EX A34005 218 2 stands stand VBZ A34005 218 3 moreover moreover RB A34005 218 4 on on IN A34005 218 5 the the DT A34005 218 6 very very JJ A34005 218 7 edges edge NNS A34005 218 8 of of IN A34005 218 9 the the DT A34005 218 10 Quadrant Quadrant NNP A34005 218 11 , , , A34005 218 12 two two CD A34005 218 13 Dyalling dyalle VBG A34005 218 14 Scales Scales NNPS A34005 218 15 , , , A34005 218 16 which which WDT A34005 218 17 do do VBP A34005 218 18 not not RB A34005 218 19 proceed proceed VB A34005 218 20 from from IN A34005 218 21 the the DT A34005 218 22 Center Center NNP A34005 218 23 ; ; : A34005 218 24 that that IN A34005 218 25 on on IN A34005 218 26 the the DT A34005 218 27 right right JJ A34005 218 28 edge edge NN A34005 218 29 is be VBZ A34005 218 30 called call VBN A34005 218 31 the the DT A34005 218 32 Line Line NNP A34005 218 33 of of IN A34005 218 34 Latitudes Latitudes NNPS A34005 218 35 ; ; : A34005 218 36 and and CC A34005 218 37 that that IN A34005 218 38 on on IN A34005 218 39 the the DT A34005 218 40 left left JJ A34005 218 41 edge edge NN A34005 218 42 the the DT A34005 218 43 Scale scale NN A34005 218 44 of of IN A34005 218 45 Hours hour NNS A34005 218 46 ( ( -LRB- A34005 218 47 equal equal JJ A34005 218 48 in in IN A34005 218 49 length length NN A34005 218 50 to to IN A34005 218 51 the the DT A34005 218 52 Sines Sines NNP A34005 218 53 ) ) -RRB- A34005 218 54 which which WDT A34005 218 55 is be VBZ A34005 218 56 no no DT A34005 218 57 other other JJ A34005 218 58 then then RB A34005 218 59 a a DT A34005 218 60 double double JJ A34005 218 61 Tangent tangent NN A34005 218 62 , , , A34005 218 63 or or CC A34005 218 64 two two CD A34005 218 65 Lines line NNS A34005 218 66 of of IN A34005 218 67 Tangents tangent NNS A34005 218 68 to to IN A34005 218 69 45d 45d NNS A34005 218 70 each each DT A34005 218 71 set set VBN A34005 218 72 together together RB A34005 218 73 in in IN A34005 218 74 the the DT A34005 218 75 middle middle NN A34005 218 76 , , , A34005 218 77 and and CC A34005 218 78 so so RB A34005 218 79 might may MD A34005 218 80 , , , A34005 218 81 if if IN A34005 218 82 there there EX A34005 218 83 were be VBD A34005 218 84 need need NN A34005 218 85 , , , A34005 218 86 be be VB A34005 218 87 continued continue VBN A34005 218 88 , , , A34005 218 89 ad ad NN A34005 218 90 infinitum infinitum NN A34005 218 91 . . . A34005 219 1 The the DT A34005 219 2 Construction Construction NNP A34005 219 3 and and CC A34005 219 4 making making NN A34005 219 5 of of IN A34005 219 6 such such JJ A34005 219 7 of of IN A34005 219 8 these these DT A34005 219 9 Lines line NNS A34005 219 10 as as IN A34005 219 11 are be VBP A34005 219 12 not not RB A34005 219 13 commonly commonly RB A34005 219 14 described describe VBN A34005 219 15 in in IN A34005 219 16 other other JJ A34005 219 17 Treatises treatise NNS A34005 219 18 . . . A34005 220 1 To to TO A34005 220 2 inscribe inscribe VB A34005 220 3 the the DT A34005 220 4 Line Line NNP A34005 220 5 of of IN A34005 220 6 Declinations declination NNS A34005 220 7 , , , A34005 220 8 there there EX A34005 220 9 will will MD A34005 220 10 be be VB A34005 220 11 given give VBN A34005 220 12 the the DT A34005 220 13 Suns Suns NNPS A34005 220 14 declination declination NN A34005 220 15 to to TO A34005 220 16 find find VB A34005 220 17 his -PRON- PRP$ A34005 220 18 right right JJ A34005 220 19 Ascension Ascension NNP A34005 220 20 , , , A34005 220 21 which which WDT A34005 220 22 is be VBZ A34005 220 23 the the DT A34005 220 24 Ark Ark NNP A34005 220 25 of of IN A34005 220 26 the the DT A34005 220 27 Limb Limb NNP A34005 220 28 , , , A34005 220 29 that that IN A34005 220 30 by by IN A34005 220 31 help help NN A34005 220 32 of of IN A34005 220 33 a a DT A34005 220 34 Ruler ruler NN A34005 220 35 , , , A34005 220 36 moving move VBG A34005 220 37 on on IN A34005 220 38 the the DT A34005 220 39 Center Center NNP A34005 220 40 of of IN A34005 220 41 the the DT A34005 220 42 Quadrant Quadrant NNP A34005 220 43 , , , A34005 220 44 and and CC A34005 220 45 laid lay VBD A34005 220 46 over over RP A34005 220 47 the the DT A34005 220 48 same same JJ A34005 220 49 , , , A34005 220 50 will will MD A34005 220 51 in in RB A34005 220 52 - - : A34005 220 53 scribe scribe VB A34005 220 54 the the DT A34005 220 55 Declination Declination NNP A34005 220 56 proposed propose VBN A34005 220 57 . . . A34005 221 1 The the DT A34005 221 2 Canon Canon NNP A34005 221 3 to to TO A34005 221 4 find find VB A34005 221 5 the the DT A34005 221 6 Suns Suns NNPS A34005 221 7 right right JJ A34005 221 8 Ascension ascension NN A34005 221 9 from from IN A34005 221 10 the the DT A34005 221 11 nearest near JJS A34005 221 12 Equinoctial equinoctial JJ A34005 221 13 point point NN A34005 221 14 , , , A34005 221 15 correspondent correspondent NN A34005 221 16 to to IN A34005 221 17 the the DT A34005 221 18 Declination declination NN A34005 221 19 proposed propose VBN A34005 221 20 , , , A34005 221 21 is be VBZ A34005 221 22 As as IN A34005 221 23 the the DT A34005 221 24 Radius Radius NNP A34005 221 25 To to IN A34005 221 26 the the DT A34005 221 27 Cotangent Cotangent NNP A34005 221 28 of of IN A34005 221 29 the the DT A34005 221 30 Suns Suns NNPS A34005 221 31 greatest great JJS A34005 221 32 Declination declination NN A34005 221 33 : : : A34005 221 34 So so CC A34005 221 35 the the DT A34005 221 36 Tangent tangent NN A34005 221 37 of of IN A34005 221 38 the the DT A34005 221 39 Declination Declination NNP A34005 221 40 given give VBN A34005 221 41 : : : A34005 221 42 To to IN A34005 221 43 the the DT A34005 221 44 Sine Sine NNP A34005 221 45 of of IN A34005 221 46 the the DT A34005 221 47 Suns Suns NNPS A34005 221 48 right right JJ A34005 221 49 Ascension ascension NN A34005 221 50 . . . A34005 222 1 The the DT A34005 222 2 four four CD A34005 222 3 Quadrants Quadrants NNPS A34005 222 4 for for IN A34005 222 5 the the DT A34005 222 6 days day NNS A34005 222 7 of of IN A34005 222 8 the the DT A34005 222 9 moneth moneth NN A34005 222 10 are be VBP A34005 222 11 likewise likewise RB A34005 222 12 to to TO A34005 222 13 be be VB A34005 222 14 graduated graduate VBN A34005 222 15 from from IN A34005 222 16 the the DT A34005 222 17 Limb Limb NNP A34005 222 18 , , , A34005 222 19 by by IN A34005 222 20 help help NN A34005 222 21 of of IN A34005 222 22 a a DT A34005 222 23 Table table NN A34005 222 24 of of IN A34005 222 25 the the DT A34005 222 26 Suns Suns NNPS A34005 222 27 right right JJ A34005 222 28 Ascensions Ascensions NNPS A34005 222 29 , , , A34005 222 30 made make VBN A34005 222 31 for for IN A34005 222 32 each each DT A34005 222 33 day day NN A34005 222 34 in in IN A34005 222 35 the the DT A34005 222 36 year year NN A34005 222 37 . . . A34005 223 1 The the DT A34005 223 2 Geometrical Geometrical NNP A34005 223 3 Quadrat Quadrat NNP A34005 223 4 is be VBZ A34005 223 5 inscribed inscribe VBN A34005 223 6 in in IN A34005 223 7 half half PDT A34005 223 8 the the DT A34005 223 9 Quadrant quadrant NN A34005 223 10 of of IN A34005 223 11 a a DT A34005 223 12 Circle Circle NNP A34005 223 13 , , , A34005 223 14 by by IN A34005 223 15 finding find VBG A34005 223 16 in in IN A34005 223 17 the the DT A34005 223 18 Table table NN A34005 223 19 of of IN A34005 223 20 natural natural JJ A34005 223 21 Tangents tangent NNS A34005 223 22 , , , A34005 223 23 what what WP A34005 223 24 Arches arch VBZ A34005 223 25 answer answer VBP A34005 223 26 to to IN A34005 223 27 every every DT A34005 223 28 equal equal JJ A34005 223 29 Division Division NNP A34005 223 30 of of IN A34005 223 31 the the DT A34005 223 32 Radius Radius NNP A34005 223 33 , , , A34005 223 34 and and CC A34005 223 35 so so RB A34005 223 36 to to TO A34005 223 37 be be VB A34005 223 38 graduated graduate VBN A34005 223 39 from from IN A34005 223 40 the the DT A34005 223 41 Limb Limb NNP A34005 223 42 ; ; : A34005 223 43 so so RB A34005 223 44 300 300 CD A34005 223 45 sought seek VBD A34005 223 46 in in IN A34005 223 47 the the DT A34005 223 48 Tangents Tangents NNP A34005 223 49 gives give VBZ A34005 223 50 the the DT A34005 223 51 Ark Ark NNP A34005 223 52 of of IN A34005 223 53 16d 16d NNPS A34005 223 54 42 42 CD A34005 223 55 m m CD A34005 223 56 of of IN A34005 223 57 the the DT A34005 223 58 Limb Limb NNP A34005 223 59 against against IN A34005 223 60 which which WDT A34005 223 61 3 3 CD A34005 223 62 of of IN A34005 223 63 the the DT A34005 223 64 Quadrat Quadrat NNP A34005 223 65 is be VBZ A34005 223 66 to to TO A34005 223 67 be be VB A34005 223 68 graduated graduate VBN A34005 223 69 . . . A34005 224 1 The the DT A34005 224 2 Line line NN A34005 224 3 of of IN A34005 224 4 shaddows shaddow NNS A34005 224 5 is be VBZ A34005 224 6 no no DT A34005 224 7 other other JJ A34005 224 8 then then RB A34005 224 9 the the DT A34005 224 10 continuance continuance NN A34005 224 11 of of IN A34005 224 12 the the DT A34005 224 13 Quadrat Quadrat NNP A34005 224 14 beyond beyond IN A34005 224 15 the the DT A34005 224 16 Radius Radius NNP A34005 224 17 , , , A34005 224 18 and and CC A34005 224 19 so so RB A34005 224 20 the the DT A34005 224 21 making making NN A34005 224 22 after after IN A34005 224 23 the the DT A34005 224 24 same same JJ A34005 224 25 manner manner NN A34005 224 26 ; ; : A34005 224 27 thus thus RB A34005 224 28 having have VBG A34005 224 29 the the DT A34005 224 30 length length NN A34005 224 31 of of IN A34005 224 32 the the DT A34005 224 33 shadow shadow NN A34005 224 34 assigned assign VBN A34005 224 35 , , , A34005 224 36 annex annex NNP A34005 224 37 the the DT A34005 224 38 Ciphers Ciphers NNPS A34005 224 39 of of IN A34005 224 40 the the DT A34005 224 41 Radius Radius NNP A34005 224 42 thereto thereto NN A34005 224 43 , , , A34005 224 44 and and CC A34005 224 45 seek seek VB A34005 224 46 in in IN A34005 224 47 he -PRON- PRP A34005 224 48 natural natural JJ A34005 224 49 Tangents tangent NNS A34005 224 50 , , , A34005 224 51 what what WP A34005 224 52 Ark Ark NNP A34005 224 53 corresponds correspond VBZ A34005 224 54 thereto thereto NN A34005 224 55 ; ; : A34005 224 56 thus thus RB A34005 224 57 the the DT A34005 224 58 shadow shadow NN A34005 224 59 being be VBG A34005 224 60 assigned assign VBN A34005 224 61 thrice thrice NN A34005 224 62 as as RB A34005 224 63 long long RB A34005 224 64 as as IN A34005 224 65 the the DT A34005 224 66 Gnomon Gnomon NNP A34005 224 67 , , , A34005 224 68 I -PRON- PRP A34005 224 69 seek seek VBP A34005 224 70 3000 3000 CD A34005 224 71 in in IN A34005 224 72 the the DT A34005 224 73 natural natural JJ A34005 224 74 Tangents tangent NNS A34005 224 75 , , , A34005 224 76 the the DT A34005 224 77 Ark Ark NNP A34005 224 78 answering answer VBG A34005 224 79 thereto thereto NN A34005 224 80 , , , A34005 224 81 is be VBZ A34005 224 82 71d 71d NNS A34005 224 83 34′ 34′ CD A34005 224 84 which which WDT A34005 224 85 being be VBG A34005 224 86 counted count VBN A34005 224 87 from from IN A34005 224 88 the the DT A34005 224 89 left left JJ A34005 224 90 edge edge NN A34005 224 91 of of IN A34005 224 92 the the DT A34005 224 93 Quadrant Quadrant NNP A34005 224 94 , , , A34005 224 95 towards towards IN A34005 224 96 the the DT A34005 224 97 right right NN A34005 224 98 in in IN A34005 224 99 the the DT A34005 224 100 Limb Limb NNP A34005 224 101 , , , A34005 224 102 the the DT A34005 224 103 Line Line NNP A34005 224 104 of of IN A34005 224 105 shadows shadow NNS A34005 224 106 may may MD A34005 224 107 from from IN A34005 224 108 thence thence NN A34005 224 109 be be VB A34005 224 110 graduated graduate VBN A34005 224 111 ; ; : A34005 224 112 the the DT A34005 224 113 Complement Complement NNP A34005 224 114 of of IN A34005 224 115 this this DT A34005 224 116 Ark Ark NNP A34005 224 117 is be VBZ A34005 224 118 the the DT A34005 224 119 Suns Suns NNPS A34005 224 120 Altitude Altitude NNP A34005 224 121 , , , A34005 224 122 answering answer VBG A34005 224 123 to to IN A34005 224 124 that that DT A34005 224 125 length length NN A34005 224 126 of of IN A34005 224 127 the the DT A34005 224 128 right right JJ A34005 224 129 shadow shadow NN A34005 224 130 , , , A34005 224 131 being be VBG A34005 224 132 18d 18d CD A34005 224 133 26′ 26′ CD A34005 224 134 . . . A34005 225 1 The the DT A34005 225 2 Canon Canon NNP A34005 225 3 to to TO A34005 225 4 make make VB A34005 225 5 the the DT A34005 225 6 Line Line NNP A34005 225 7 of of IN A34005 225 8 Latitudes Latitudes NNP A34005 225 9 , , , A34005 225 10 will will MD A34005 225 11 be be VB A34005 225 12 As as IN A34005 225 13 the the DT A34005 225 14 Radius Radius NNP A34005 225 15 to to IN A34005 225 16 the the DT A34005 225 17 Chord Chord NNP A34005 225 18 of of IN A34005 225 19 90d 90d CD A34005 225 20 so so CC A34005 225 21 the the DT A34005 225 22 Tangents tangent NNS A34005 225 23 of of IN A34005 225 24 each each DT A34005 225 25 respective respective JJ A34005 225 26 degree degree NN A34005 225 27 of of IN A34005 225 28 the the DT A34005 225 29 Line Line NNP A34005 225 30 of of IN A34005 225 31 Latitudes Latitudes NNP A34005 225 32 . . . A34005 226 1 To to IN A34005 226 2 the the DT A34005 226 3 Tangents tangent NNS A34005 226 4 of of IN A34005 226 5 ohter ohter JJ A34005 226 6 Arks Arks NNP A34005 226 7 : : : A34005 226 8 The the DT A34005 226 9 natural natural JJ A34005 226 10 Sines Sines NNPS A34005 226 11 of of IN A34005 226 12 which which WDT A34005 226 13 Arks Arks NNP A34005 226 14 are be VBP A34005 226 15 the the DT A34005 226 16 numbers number NNS A34005 226 17 that that WDT A34005 226 18 from from IN A34005 226 19 a a DT A34005 226 20 Diagonal Diagonal NNP A34005 226 21 Scale Scale NNP A34005 226 22 of of IN A34005 226 23 equal equal JJ A34005 226 24 parts part NNS A34005 226 25 shall shall MD A34005 226 26 graduate graduate VB A34005 226 27 the the DT A34005 226 28 Divisions Divisions NNPS A34005 226 29 of of IN A34005 226 30 the the DT A34005 226 31 Line Line NNP A34005 226 32 of of IN A34005 226 33 Latitudes Latitudes NNPS A34005 226 34 to to IN A34005 226 35 any any DT A34005 226 36 Radius Radius NNP A34005 226 37 . . . A34005 227 1 To to TO A34005 227 2 draw draw VB A34005 227 3 the the DT A34005 227 4 Projection projection NN A34005 227 5 . . . A34005 228 1 Those those DT A34005 228 2 Lines line NNS A34005 228 3 that that WDT A34005 228 4 cross cross VBP A34005 228 5 each each DT A34005 228 6 other other JJ A34005 228 7 , , , A34005 228 8 are be VBP A34005 228 9 Arches arch NNS A34005 228 10 of of IN A34005 228 11 Circles Circles NNP A34005 228 12 , , , A34005 228 13 whose whose WP$ A34005 228 14 Centers Centers NNPS A34005 228 15 fall fall VBP A34005 228 16 in in IN A34005 228 17 two two CD A34005 228 18 streight streight JJ A34005 228 19 Lines line NNS A34005 228 20 . . . A34005 229 1 Of of IN A34005 229 2 the the DT A34005 229 3 Paralels Paralels NNPS A34005 229 4 of of IN A34005 229 5 Altitude Altitude NNP A34005 229 6 . . . A34005 230 1 All all DT A34005 230 2 those those DT A34005 230 3 Arks ark NNS A34005 230 4 whose whose WP$ A34005 230 5 Aspect Aspect NNP A34005 230 6 denotes denote VBZ A34005 230 7 them -PRON- PRP A34005 230 8 to to TO A34005 230 9 be be VB A34005 230 10 drawn draw VBN A34005 230 11 from from IN A34005 230 12 the the DT A34005 230 13 right right JJ A34005 230 14 edge edge NN A34005 230 15 of of IN A34005 230 16 the the DT A34005 230 17 Quadrant Quadrant NNP A34005 230 18 towards towards IN A34005 230 19 the the DT A34005 230 20 left left NN A34005 230 21 , , , A34005 230 22 are be VBP A34005 230 23 called call VBN A34005 230 24 Paralels Paralels NNPS A34005 230 25 of of IN A34005 230 26 Altitude Altitude NNP A34005 230 27 , , , A34005 230 28 and and CC A34005 230 29 their -PRON- PRP$ A34005 230 30 Centers Centers NNPS A34005 230 31 fall fall VBP A34005 230 32 in in IN A34005 230 33 the the DT A34005 230 34 right right JJ A34005 230 35 edge edge NN A34005 230 36 of of IN A34005 230 37 the the DT A34005 230 38 Quadrant Quadrant NNP A34005 230 39 , , , A34005 230 40 continued continue VBD A34005 230 41 both both CC A34005 230 42 beyond beyond IN A34005 230 43 the the DT A34005 230 44 Center Center NNP A34005 230 45 and and CC A34005 230 46 Limb Limb NNP A34005 230 47 so so RB A34005 230 48 far far RB A34005 230 49 as as IN A34005 230 50 is be VBZ A34005 230 51 needful needful JJ A34005 230 52 . . . A34005 231 1 To to TO A34005 231 2 find find VB A34005 231 3 the the DT A34005 231 4 Intersections Intersections NNPS A34005 231 5 of of IN A34005 231 6 the the DT A34005 231 7 Paralels Paralels NNPS A34005 231 8 of of IN A34005 231 9 Altitude Altitude NNP A34005 231 10 , , , A34005 231 11 with with IN A34005 231 12 the the DT A34005 231 13 Meridian Meridian NNP A34005 231 14 , , , A34005 231 15 that that RB A34005 231 16 is is RB A34005 231 17 , , , A34005 231 18 Points Points NNP A34005 231 19 therein therein RB A34005 231 20 limiting limit VBG A34005 231 21 the the DT A34005 231 22 Semi Semi NNP A34005 231 23 - - NNP A34005 231 24 diameters diameter NNS A34005 231 25 of of IN A34005 231 26 the the DT A34005 231 27 Paralells Paralells NNP A34005 231 28 . . . A34005 232 1 Assume assume VB A34005 232 2 any any DT A34005 232 3 Point Point NNP A34005 232 4 in in IN A34005 232 5 the the DT A34005 232 6 right right JJ A34005 232 7 edge edge NN A34005 232 8 of of IN A34005 232 9 the the DT A34005 232 10 Quadrant Quadrant NNP A34005 232 11 , , , A34005 232 12 ( ( -LRB- A34005 232 13 which which WDT A34005 232 14 is be VBZ A34005 232 15 called call VBN A34005 232 16 the the DT A34005 232 17 Meridian Meridian NNP A34005 232 18 Line Line NNP A34005 232 19 ) ) -RRB- A34005 232 20 near near IN A34005 232 21 the the DT A34005 232 22 Limbe Limbe NNP A34005 232 23 to to TO A34005 232 24 be be VB A34005 232 25 the the DT A34005 232 26 Tropick Tropick NNP A34005 232 27 of of IN A34005 232 28 Cancer Cancer NNP A34005 232 29 ; ; : A34005 232 30 the the DT A34005 232 31 distance distance NN A34005 232 32 of of IN A34005 232 33 this this DT A34005 232 34 Point Point NNP A34005 232 35 from from IN A34005 232 36 the the DT A34005 232 37 Center Center NNP A34005 232 38 of of IN A34005 232 39 the the DT A34005 232 40 Quadrant Quadrant NNP A34005 232 41 , , , A34005 232 42 must must MD A34005 232 43 represent represent VB A34005 232 44 the the DT A34005 232 45 Tangent Tangent NNP A34005 232 46 of of IN A34005 232 47 56d 56d NNS A34005 232 48 46′ 46′ CD A34005 232 49 which which WDT A34005 232 50 is be VBZ A34005 232 51 half half PDT A34005 232 52 the the DT A34005 232 53 Suns Suns NNPS A34005 232 54 greatest great JJS A34005 232 55 Declination declination NN A34005 232 56 more more RBR A34005 232 57 then then RB A34005 232 58 the the DT A34005 232 59 Radius Radius NNP A34005 232 60 ; ; : A34005 232 61 the the DT A34005 232 62 distance distance NN A34005 232 63 of of IN A34005 232 64 the the DT A34005 232 65 Equator Equator NNP A34005 232 66 from from IN A34005 232 67 the the DT A34005 232 68 Center Center NNP A34005 232 69 , , , A34005 232 70 shall shall MD A34005 232 71 be be VB A34005 232 72 equal equal JJ A34005 232 73 to to IN A34005 232 74 the the DT A34005 232 75 Radius Radius NNP A34005 232 76 of of IN A34005 232 77 this this DT A34005 232 78 Tangent Tangent NNP A34005 232 79 . . . A34005 233 1 For for IN A34005 233 2 the the DT A34005 233 3 finding finding NN A34005 233 4 the the DT A34005 233 5 Intersections Intersections NNPS A34005 233 6 of of IN A34005 233 7 the the DT A34005 233 8 other other JJ A34005 233 9 Paralells paralell NNS A34005 233 10 of of IN A34005 233 11 Altitude altitude NN A34005 233 12 , , , A34005 233 13 it -PRON- PRP A34005 233 14 will will MD A34005 233 15 be be VB A34005 233 16 best good JJS A34005 233 17 to to TO A34005 233 18 make make VB A34005 233 19 a a DT A34005 233 20 Line Line NNP A34005 233 21 of of IN A34005 233 22 Semi semi NN A34005 233 23 - - HYPH A34005 233 24 tangents tangent NNS A34005 233 25 to to IN A34005 233 26 the the DT A34005 233 27 same same JJ A34005 233 28 Radius Radius NNP A34005 233 29 , , , A34005 233 30 that that DT A34005 233 31 is be VBZ A34005 233 32 to to TO A34005 233 33 number number VB A34005 233 34 each each DT A34005 233 35 degree degree NN A34005 233 36 of of IN A34005 233 37 this this DT A34005 233 38 Tangent Tangent NNP A34005 233 39 with with IN A34005 233 40 the the DT A34005 233 41 double double JJ A34005 233 42 Ark Ark NNP A34005 233 43 , , , A34005 233 44 and and CC A34005 233 45 so so RB A34005 233 46 every every DT A34005 233 47 half half NN A34005 233 48 degree degree NN A34005 233 49 will will MD A34005 233 50 become become VB A34005 233 51 a a DT A34005 233 52 whole whole JJ A34005 233 53 one one NN A34005 233 54 : : : A34005 233 55 Out out IN A34005 233 56 of of IN A34005 233 57 this this DT A34005 233 58 Line Line NNP A34005 233 59 of of IN A34005 233 60 Semi Semi NNP A34005 233 61 - - HYPH A34005 233 62 tangents tangent NNS A34005 233 63 prick prick VBP A34005 233 64 off off RP A34005 233 65 from from IN A34005 233 66 the the DT A34005 233 67 Center Center NNP A34005 233 68 of of IN A34005 233 69 the the DT A34005 233 70 Quadrant Quadrant NNP A34005 233 71 66d 66d NNS A34005 233 72 29′ 29′ CD A34005 233 73 the the DT A34005 233 74 Complement Complement NNP A34005 233 75 of of IN A34005 233 76 the the DT A34005 233 77 Suns Suns NNPS A34005 233 78 greatest great JJS A34005 233 79 Declination Declination NNP A34005 233 80 , , , A34005 233 81 which which WDT A34005 233 82 will will MD A34005 233 83 find find VB A34005 233 84 the the DT A34005 233 85 Intersection intersection NN A34005 233 86 of of IN A34005 233 87 the the DT A34005 233 88 Tropick Tropick NNP A34005 233 89 of of IN A34005 233 90 Capricorn Capricorn NNP A34005 233 91 with with IN A34005 233 92 the the DT A34005 233 93 Meridian Meridian NNP A34005 233 94 . . . A34005 234 1 Now now RB A34005 234 2 to to TO A34005 234 3 fit fit VB A34005 234 4 the the DT A34005 234 5 Projection Projection NNP A34005 234 6 to to IN A34005 234 7 any any DT A34005 234 8 particular particular JJ A34005 234 9 Latitude latitude NN A34005 234 10 : : : A34005 234 11 Out out IN A34005 234 12 of of IN A34005 234 13 the the DT A34005 234 14 said say VBN A34005 234 15 Line Line NNP A34005 234 16 of of IN A34005 234 17 Semi Semi NNP A34005 234 18 - - NN A34005 234 19 tangents tangent NNS A34005 234 20 from from IN A34005 234 21 the the DT A34005 234 22 Center Center NNP A34005 234 23 of of IN A34005 234 24 the the DT A34005 234 25 Quadrant Quadrant NNP A34005 234 26 , , , A34005 234 27 prick prick VB A34005 234 28 off off RP A34005 234 29 the the DT A34005 234 30 Latitude Latitude NNP A34005 234 31 of of IN A34005 234 32 the the DT A34005 234 33 place place NN A34005 234 34 , , , A34005 234 35 and and CC A34005 234 36 it -PRON- PRP A34005 234 37 will will MD A34005 234 38 find find VB A34005 234 39 a a DT A34005 234 40 point point NN A34005 234 41 in in IN A34005 234 42 the the DT A34005 234 43 Meridian Meridian NNP A34005 234 44 Line Line NNP A34005 234 45 , , , A34005 234 46 where where WRB A34005 234 47 the the DT A34005 234 48 Horizon Horizon NNP A34005 234 49 , , , A34005 234 50 or or CC A34005 234 51 Paralell Paralell NNP A34005 234 52 of of IN A34005 234 53 00d 00d NNS A34005 234 54 of of IN A34005 234 55 Altitude altitude NN A34005 234 56 will will MD A34005 234 57 intersect intersect VB A34005 234 58 the the DT A34005 234 59 Meridian Meridian NNP A34005 234 60 ; ; : A34005 234 61 this this DT A34005 234 62 Point Point NNP A34005 234 63 is be VBZ A34005 234 64 called call VBN A34005 234 65 the the DT A34005 234 66 Horizontal Horizontal NNP A34005 234 67 Point Point NNP A34005 234 68 , , , A34005 234 69 and and CC A34005 234 70 serves serve VBZ A34005 234 71 for for IN A34005 234 72 finding find VBG A34005 234 73 the the DT A34005 234 74 Centers Centers NNPS A34005 234 75 of of IN A34005 234 76 all all PDT A34005 234 77 the the DT A34005 234 78 Paralells Paralells NNPS A34005 234 79 . . . A34005 235 1 To to IN A34005 235 2 the the DT A34005 235 3 Latitude Latitude NNP A34005 235 4 of of IN A34005 235 5 the the DT A34005 235 6 place place NN A34005 235 7 add add VBP A34005 235 8 each each DT A34005 235 9 degree degree NN A34005 235 10 of of IN A34005 235 11 Altitude Altitude NNP A34005 235 12 successively successively RB A34005 235 13 till till IN A34005 235 14 you -PRON- PRP A34005 235 15 have have VBP A34005 235 16 included include VBN A34005 235 17 the the DT A34005 235 18 greatest great JJS A34005 235 19 Meridian Meridian NNP A34005 235 20 Altitude Altitude NNP A34005 235 21 ; ; : A34005 235 22 these these DT A34005 235 23 compound compound NN A34005 235 24 Arks Arks NNP A34005 235 25 are be VBP A34005 235 26 such such JJ A34005 235 27 as as IN A34005 235 28 being be VBG A34005 235 29 prickt prickt NNS A34005 235 30 from from IN A34005 235 31 the the DT A34005 235 32 Center Center NNP A34005 235 33 of of IN A34005 235 34 the the DT A34005 235 35 Quadrant Quadrant NNP A34005 235 36 out out IN A34005 235 37 of of IN A34005 235 38 the the DT A34005 235 39 Line Line NNP A34005 235 40 of of IN A34005 235 41 Semi Semi NNP A34005 235 42 - - NN A34005 235 43 tangents tangent NNS A34005 235 44 will will MD A34005 235 45 find find VB A34005 235 46 points point NNS A34005 235 47 in in IN A34005 235 48 the the DT A34005 235 49 Meridian Meridian NNP A34005 235 50 Line Line NNP A34005 235 51 , , , A34005 235 52 limiting limit VBG A34005 235 53 the the DT A34005 235 54 Semi Semi NNP A34005 235 55 - - NNP A34005 235 56 diameters diameter NNS A34005 235 57 of of IN A34005 235 58 the the DT A34005 235 59 paralells paralell NNS A34005 235 60 of of IN A34005 235 61 Altitude Altitude NNP A34005 235 62 . . . A34005 236 1 Above above IN A34005 236 2 the the DT A34005 236 3 Horizon Horizon NNP A34005 236 4 , , , A34005 236 5 and and CC A34005 236 6 between between IN A34005 236 7 the the DT A34005 236 8 Circle Circle NNP A34005 236 9 that that WDT A34005 236 10 bounds bound VBZ A34005 236 11 the the DT A34005 236 12 Projection projection NN A34005 236 13 falls fall VBZ A34005 236 14 a a DT A34005 236 15 portion portion NN A34005 236 16 thereof thereof RB A34005 236 17 called call VBN A34005 236 18 the the DT A34005 236 19 Reverted Reverted NNP A34005 236 20 Tail Tail NNP A34005 236 21 , , , A34005 236 22 which which WDT A34005 236 23 otherwise otherwise RB A34005 236 24 would would MD A34005 236 25 if if IN A34005 236 26 it -PRON- PRP A34005 236 27 had have VBD A34005 236 28 not not RB A34005 236 29 been be VBN A34005 236 30 there there RB A34005 236 31 reverted revert VBN A34005 236 32 , , , A34005 236 33 have have VBP A34005 236 34 excurred excurre VBN A34005 236 35 the the DT A34005 236 36 limits limit NNS A34005 236 37 of of IN A34005 236 38 a a DT A34005 236 39 Quadrant Quadrant NNP A34005 236 40 . . . A34005 237 1 To to TO A34005 237 2 find find VB A34005 237 3 the the DT A34005 237 4 Intersections Intersections NNPS A34005 237 5 for for IN A34005 237 6 those those DT A34005 237 7 Paralells paralell NNS A34005 237 8 of of IN A34005 237 9 Altitude Altitude NNP A34005 237 10 , , , A34005 237 11 substract substract VBP A34005 237 12 successively successively RB A34005 237 13 each each DT A34005 237 14 degree degree NN A34005 237 15 out out IN A34005 237 16 of of IN A34005 237 17 the the DT A34005 237 18 Latitude Latitude NNP A34005 237 19 of of IN A34005 237 20 the the DT A34005 237 21 place place NN A34005 237 22 , , , A34005 237 23 and and CC A34005 237 24 the the DT A34005 237 25 remaining remain VBG A34005 237 26 Arks Arks NNP A34005 237 27 prick prick VB A34005 237 28 from from IN A34005 237 29 the the DT A34005 237 30 Center Center NNP A34005 237 31 out out IN A34005 237 32 of of IN A34005 237 33 the the DT A34005 237 34 Line Line NNP A34005 237 35 of of IN A34005 237 36 Semi Semi NNP A34005 237 37 - - NN A34005 237 38 tangents tangent VBZ A34005 237 39 : : : A34005 237 40 The the DT A34005 237 41 use use NN A34005 237 42 of of IN A34005 237 43 this this DT A34005 237 44 Tail Tail NNP A34005 237 45 being be VBG A34005 237 46 to to TO A34005 237 47 find find VB A34005 237 48 the the DT A34005 237 49 hour hour NN A34005 237 50 and and CC A34005 237 51 Azimuth Azimuth NNP A34005 237 52 before before IN A34005 237 53 or or CC A34005 237 54 after after IN A34005 237 55 6 6 CD A34005 237 56 in in IN A34005 237 57 the the DT A34005 237 58 Summer Summer NNP A34005 237 59 time time NN A34005 237 60 only only RB A34005 237 61 , , , A34005 237 62 it -PRON- PRP A34005 237 63 need nee MD A34005 237 64 be be VB A34005 237 65 continued continue VBN A34005 237 66 no no RB A34005 237 67 further further RB A34005 237 68 above above IN A34005 237 69 the the DT A34005 237 70 Horizon Horizon NNP A34005 237 71 then then RB A34005 237 72 the the DT A34005 237 73 Ark Ark NNP A34005 237 74 of of IN A34005 237 75 the the DT A34005 237 76 Suns Suns NNPS A34005 237 77 greatest great JJS A34005 237 78 Altitude altitude NN A34005 237 79 at at IN A34005 237 80 6 6 CD A34005 237 81 , , , A34005 237 82 which which WDT A34005 237 83 at at IN A34005 237 84 London London NNP A34005 237 85 is be VBZ A34005 237 86 18d 18d CD A34005 237 87 12′ 12′ CD A34005 237 88 . . . A34005 238 1 To to TO A34005 238 2 finde finde VB A34005 238 3 the the DT A34005 238 4 Centers Centers NNPS A34005 238 5 of of IN A34005 238 6 the the DT A34005 238 7 Paralells Paralells NNP A34005 238 8 of of IN A34005 238 9 Altitude Altitude NNP A34005 238 10 . . . A34005 239 1 These these DT A34005 239 2 are be VBP A34005 239 3 to to TO A34005 239 4 be be VB A34005 239 5 discovered discover VBN A34005 239 6 by by IN A34005 239 7 help help NN A34005 239 8 of of IN A34005 239 9 a a DT A34005 239 10 Line line NN A34005 239 11 of of IN A34005 239 12 natural natural JJ A34005 239 13 Tangents tangent NNS A34005 239 14 , , , A34005 239 15 not not RB A34005 239 16 numbred numbre VBN A34005 239 17 with with IN A34005 239 18 the the DT A34005 239 19 double double JJ A34005 239 20 Arks Arks NNP A34005 239 21 , , , A34005 239 22 whose whose WP$ A34005 239 23 Radius Radius NNP A34005 239 24 must must MD A34005 239 25 be be VB A34005 239 26 equal equal JJ A34005 239 27 to to IN A34005 239 28 the the DT A34005 239 29 distance distance NN A34005 239 30 of of IN A34005 239 31 the the DT A34005 239 32 Equator Equator NNP A34005 239 33 from from IN A34005 239 34 the the DT A34005 239 35 Center Center NNP A34005 239 36 of of IN A34005 239 37 the the DT A34005 239 38 Quadrant Quadrant NNP A34005 239 39 , , , A34005 239 40 or or CC A34005 239 41 which which WDT A34005 239 42 is be VBZ A34005 239 43 all all DT A34005 239 44 one one CD A34005 239 45 to to IN A34005 239 46 90d 90d NNS A34005 239 47 of of IN A34005 239 48 the the DT A34005 239 49 Line Line NNP A34005 239 50 of of IN A34005 239 51 Semi Semi NNP A34005 239 52 - - NN A34005 239 53 tangents tangent NNS A34005 239 54 : : : A34005 239 55 Out out IN A34005 239 56 of of IN A34005 239 57 this this DT A34005 239 58 Line Line NNP A34005 239 59 of of IN A34005 239 60 Tangents Tangents NNP A34005 239 61 prick prick VB A34005 239 62 off off RP A34005 239 63 beyond beyond IN A34005 239 64 the the DT A34005 239 65 Center Center NNP A34005 239 66 of of IN A34005 239 67 the the DT A34005 239 68 Quadrant Quadrant NNP A34005 239 69 the the DT A34005 239 70 Complement Complement NNP A34005 239 71 of of IN A34005 239 72 the the DT A34005 239 73 Latitude Latitude NNP A34005 239 74 , , , A34005 239 75 the the DT A34005 239 76 distance distance NN A34005 239 77 between between IN A34005 239 78 the the DT A34005 239 79 Point Point NNP A34005 239 80 thereby thereby RB A34005 239 81 found find VBD A34005 239 82 , , , A34005 239 83 and and CC A34005 239 84 the the DT A34005 239 85 Horizontal Horizontal NNP A34005 239 86 Point Point NNP A34005 239 87 is be VBZ A34005 239 88 the the DT A34005 239 89 Semi Semi NNP A34005 239 90 - - NN A34005 239 91 diameter diameter NN A34005 239 92 wherewith wherewith VBG A34005 239 93 the the DT A34005 239 94 Horizon Horizon NNP A34005 239 95 is be VBZ A34005 239 96 to to TO A34005 239 97 be be VB A34005 239 98 drawn draw VBN A34005 239 99 . . . A34005 240 1 To to TO A34005 240 2 find find VB A34005 240 3 the the DT A34005 240 4 Centers Centers NNPS A34005 240 5 of of IN A34005 240 6 the the DT A34005 240 7 rest rest NN A34005 240 8 of of IN A34005 240 9 the the DT A34005 240 10 Paralells Paralells NNPS A34005 240 11 . . . A34005 241 1 To to IN A34005 241 2 the the DT A34005 241 3 Complement Complement NNP A34005 241 4 of of IN A34005 241 5 the the DT A34005 241 6 Latitude Latitude NNP A34005 241 7 add add VBP A34005 241 8 each each DT A34005 241 9 degree degree NN A34005 241 10 of of IN A34005 241 11 Altitude Altitude NNP A34005 241 12 successively successively RB A34005 241 13 till till IN A34005 241 14 you -PRON- PRP A34005 241 15 have have VBP A34005 241 16 included include VBN A34005 241 17 the the DT A34005 241 18 greatest great JJS A34005 241 19 Meridian Meridian NNP A34005 241 20 Altitudes Altitudes NNPS A34005 241 21 ; ; : A34005 241 22 The the DT A34005 241 23 Tangents tangent NNS A34005 241 24 of of IN A34005 241 25 these these DT A34005 241 26 Arks Arks NNP A34005 241 27 prick prick VB A34005 241 28 beyond beyond IN A34005 241 29 the the DT A34005 241 30 Center Center NNP A34005 241 31 , , , A34005 241 32 the the DT A34005 241 33 distance distance NN A34005 241 34 from from IN A34005 241 35 the the DT A34005 241 36 Points Points NNPS A34005 241 37 so so RB A34005 241 38 discovered discover VBD A34005 241 39 to to IN A34005 241 40 the the DT A34005 241 41 Horizontal Horizontal NNP A34005 241 42 Point Point NNP A34005 241 43 , , , A34005 241 44 are be VBP A34005 241 45 the the DT A34005 241 46 Semi Semi NNP A34005 241 47 - - NN A34005 241 48 diameters diameter NNS A34005 241 49 of of IN A34005 241 50 the the DT A34005 241 51 Paralells Paralells NNP A34005 241 52 of of IN A34005 241 53 Altitude Altitude NNP A34005 241 54 ; ; : A34005 241 55 the the DT A34005 241 56 extreamities extreamitie NNS A34005 241 57 of of IN A34005 241 58 which which WDT A34005 241 59 Semi Semi NNP A34005 241 60 - - NNP A34005 241 61 diameters diameter NNS A34005 241 62 being be VBG A34005 241 63 limited limit VBN A34005 241 64 in in IN A34005 241 65 the the DT A34005 241 66 Meridian Meridian NNP A34005 241 67 Line Line NNP A34005 241 68 ; ; : A34005 241 69 these these DT A34005 241 70 extents extent NNS A34005 241 71 thence thence VBP A34005 241 72 prict prict NN A34005 241 73 , , , A34005 241 74 finds find VBZ A34005 241 75 their -PRON- PRP$ A34005 241 76 Centers Centers NNPS A34005 241 77 . . . A34005 242 1 Some some DT A34005 242 2 of of IN A34005 242 3 these these DT A34005 242 4 Compound Compound NNP A34005 242 5 Arks Arks NNP A34005 242 6 will will MD A34005 242 7 exceed exceed VB A34005 242 8 90 90 CD A34005 242 9 degrees degree NNS A34005 242 10 , , , A34005 242 11 as as IN A34005 242 12 generally generally RB A34005 242 13 where where WRB A34005 242 14 any any DT A34005 242 15 Meridian Meridian NNP A34005 242 16 Altitude Altitude NNP A34005 242 17 is be VBZ A34005 242 18 greater great JJR A34005 242 19 then then RB A34005 242 20 the the DT A34005 242 21 Latitude Latitude NNP A34005 242 22 . . . A34005 243 1 In in IN A34005 243 2 this this DT A34005 243 3 case case NN A34005 243 4 substract substract VB A34005 243 5 those those DT A34005 243 6 Arkes arke NNS A34005 243 7 from from IN A34005 243 8 180d 180d NNPS A34005 243 9 and and CC A34005 243 10 prick prick VB A34005 243 11 the the DT A34005 243 12 Tangents tangent NNS A34005 243 13 of of IN A34005 243 14 the the DT A34005 243 15 remaining remain VBG A34005 243 16 Arks Arks NNP A34005 243 17 from from IN A34005 243 18 the the DT A34005 243 19 Center Center NNP A34005 243 20 of of IN A34005 243 21 the the DT A34005 243 22 Quadrant Quadrant NNP A34005 243 23 on on IN A34005 243 24 the the DT A34005 243 25 Meridian Meridian NNP A34005 243 26 Line Line NNP A34005 243 27 continued continue VBD A34005 243 28 beyond beyond IN A34005 243 29 the the DT A34005 243 30 Limbe Limbe NNP A34005 243 31 , , , A34005 243 32 and and CC A34005 243 33 then then RB A34005 243 34 as as IN A34005 243 35 before before IN A34005 243 36 the the DT A34005 243 37 distances distance NNS A34005 243 38 between between IN A34005 243 39 those those DT A34005 243 40 Points Points NNPS A34005 243 41 and and CC A34005 243 42 the the DT A34005 243 43 Horizontal Horizontal NNP A34005 243 44 Point Point NNP A34005 243 45 , , , A34005 243 46 are be VBP A34005 243 47 the the DT A34005 243 48 Semi Semi NNP A34005 243 49 - - NN A34005 243 50 diameters diameter NNS A34005 243 51 of of IN A34005 243 52 those those DT A34005 243 53 Paralells Paralells NNPS A34005 243 54 , , , A34005 243 55 whose whose WP$ A34005 243 56 Extremities extremity NNS A34005 243 57 are be VBP A34005 243 58 limited limit VBN A34005 243 59 in in IN A34005 243 60 the the DT A34005 243 61 Meridian Meridian NNP A34005 243 62 Line Line NNP A34005 243 63 . . . A34005 244 1 To to TO A34005 244 2 find find VB A34005 244 3 the the DT A34005 244 4 Centers Centers NNPS A34005 244 5 of of IN A34005 244 6 the the DT A34005 244 7 Paralells Paralells NNPS A34005 244 8 of of IN A34005 244 9 the the DT A34005 244 10 reverted reverted JJ A34005 244 11 Tail Tail NNP A34005 244 12 . . . A34005 245 1 From from IN A34005 245 2 the the DT A34005 245 3 Complement Complement NNP A34005 245 4 of of IN A34005 245 5 the the DT A34005 245 6 Latitude Latitude NNP A34005 245 7 substract substract NN A34005 245 8 each each DT A34005 245 9 degree degree NN A34005 245 10 of of IN A34005 245 11 Altitude altitude NN A34005 245 12 in in IN A34005 245 13 order order NN A34005 245 14 , , , A34005 245 15 till till IN A34005 245 16 you -PRON- PRP A34005 245 17 have have VBP A34005 245 18 included include VBN A34005 245 19 the the DT A34005 245 20 greatest great JJS A34005 245 21 Altitude altitude NN A34005 245 22 of of IN A34005 245 23 6 6 CD A34005 245 24 the the DT A34005 245 25 Tangent Tangent NNP A34005 245 26 of of IN A34005 245 27 the the DT A34005 245 28 remaining remain VBG A34005 245 29 Arks Arks NNP A34005 245 30 prick prick VB A34005 245 31 from from IN A34005 245 32 the the DT A34005 245 33 Center Center NNP A34005 245 34 of of IN A34005 245 35 the the DT A34005 245 36 Quadrant Quadrant NNP A34005 245 37 , , , A34005 245 38 and and CC A34005 245 39 you -PRON- PRP A34005 245 40 will will MD A34005 245 41 find find VB A34005 245 42 such such JJ A34005 245 43 Points point NNS A34005 245 44 the the DT A34005 245 45 distances distance NNS A34005 245 46 between between IN A34005 245 47 which which WDT A34005 245 48 and and CC A34005 245 49 the the DT A34005 245 50 Horizontal Horizontal NNP A34005 245 51 Point Point NNP A34005 245 52 are be VBP A34005 245 53 the the DT A34005 245 54 Semi Semi NNP A34005 245 55 - - NN A34005 245 56 diameters diameter NNS A34005 245 57 of of IN A34005 245 58 those those DT A34005 245 59 Paralells paralell NNS A34005 245 60 . . . A34005 246 1 To to TO A34005 246 2 find find VB A34005 246 3 the the DT A34005 246 4 Centers Centers NNPS A34005 246 5 and and CC A34005 246 6 Semi Semi NNP A34005 246 7 - - NNP A34005 246 8 diameters diameter NNS A34005 246 9 of of IN A34005 246 10 the the DT A34005 246 11 Azimuths Azimuths NNPS A34005 246 12 . . . A34005 247 1 All all PDT A34005 247 2 those those DT A34005 247 3 Portions portion NNS A34005 247 4 of of IN A34005 247 5 Arks Arks NNP A34005 247 6 which which WDT A34005 247 7 issue issue NN A34005 247 8 from from IN A34005 247 9 the the DT A34005 247 10 top top NN A34005 247 11 of of IN A34005 247 12 the the DT A34005 247 13 Projection Projection NNP A34005 247 14 towards towards IN A34005 247 15 the the DT A34005 247 16 Limb Limb NNP A34005 247 17 are be VBP A34005 247 18 called call VBN A34005 247 19 Azimuths azimuth NNS A34005 247 20 , , , A34005 247 21 the the DT A34005 247 22 Centers Centers NNPS A34005 247 23 of of IN A34005 247 24 them -PRON- PRP A34005 247 25 all all DT A34005 247 26 fall fall VBP A34005 247 27 upon upon IN A34005 247 28 that that DT A34005 247 29 Paralell Paralell NNP A34005 247 30 of of IN A34005 247 31 Altitude Altitude NNP A34005 247 32 which which WDT A34005 247 33 is be VBZ A34005 247 34 equal equal JJ A34005 247 35 to to IN A34005 247 36 the the DT A34005 247 37 Latitude Latitude NNP A34005 247 38 of of IN A34005 247 39 the the DT A34005 247 40 place place NN A34005 247 41 whereto whereto NN A34005 247 42 the the DT A34005 247 43 Projection Projection NNP A34005 247 44 is be VBZ A34005 247 45 fitted fit VBN A34005 247 46 , , , A34005 247 47 which which WDT A34005 247 48 will will MD A34005 247 49 always always RB A34005 247 50 be be VB A34005 247 51 a a DT A34005 247 52 streight streight JJ A34005 247 53 Tangent Tangent NNP A34005 247 54 Line Line NNP A34005 247 55 . . . A34005 248 1 Out out IN A34005 248 2 of of IN A34005 248 3 the the DT A34005 248 4 former former JJ A34005 248 5 Line Line NNP A34005 248 6 of of IN A34005 248 7 Tangents Tangents NNP A34005 248 8 , , , A34005 248 9 whose whose WP$ A34005 248 10 Radius Radius NNP A34005 248 11 is be VBZ A34005 248 12 equal equal JJ A34005 248 13 to to IN A34005 248 14 the the DT A34005 248 15 distance distance NN A34005 248 16 of of IN A34005 248 17 the the DT A34005 248 18 Equator Equator NNP A34005 248 19 from from IN A34005 248 20 the the DT A34005 248 21 Center Center NNP A34005 248 22 of of IN A34005 248 23 the the DT A34005 248 24 Quadrant Quadrant NNP A34005 248 25 , , , A34005 248 26 prick prick VB A34005 248 27 down down RP A34005 248 28 the the DT A34005 248 29 Latitude Latitude NNP A34005 248 30 of of IN A34005 248 31 the the DT A34005 248 32 place place NN A34005 248 33 on on IN A34005 248 34 the the DT A34005 248 35 Meridian Meridian NNP A34005 248 36 Line Line NNP A34005 248 37 , , , A34005 248 38 and and CC A34005 248 39 thereto thereto NNP A34005 248 40 perpendicularly perpendicularly RB A34005 248 41 erect erect VBP A34005 248 42 the the DT A34005 248 43 Line Line NNP A34005 248 44 for for IN A34005 248 45 finding find VBG A34005 248 46 the the DT A34005 248 47 Centers Centers NNPS A34005 248 48 of of IN A34005 248 49 the the DT A34005 248 50 Azimuths Azimuths NNPS A34005 248 51 , , , A34005 248 52 which which WDT A34005 248 53 must must MD A34005 248 54 be be VB A34005 248 55 continued continue VBN A34005 248 56 through through IN A34005 248 57 and and CC A34005 248 58 beyond beyond IN A34005 248 59 the the DT A34005 248 60 Projection Projection NNP A34005 248 61 . . . A34005 249 1 Out out IN A34005 249 2 of of IN A34005 249 3 the the DT A34005 249 4 said say VBN A34005 249 5 Line Line NNP A34005 249 6 of of IN A34005 249 7 Tangents Tangents NNP A34005 249 8 and and CC A34005 249 9 beyond beyond IN A34005 249 10 the the DT A34005 249 11 Center Center NNP A34005 249 12 prick prick VBP A34005 249 13 down down RP A34005 249 14 the the DT A34005 249 15 Tangent Tangent NNP A34005 249 16 of of IN A34005 249 17 half half PDT A34005 249 18 the the DT A34005 249 19 Complement Complement NNP A34005 249 20 of of IN A34005 249 21 the the DT A34005 249 22 Latitude Latitude NNP A34005 249 23 at at IN A34005 249 24 London London NNP A34005 249 25 19d 19d CD A34005 249 26 14 14 CD A34005 249 27 m m NN A34005 249 28 and and CC A34005 249 29 it -PRON- PRP A34005 249 30 will will MD A34005 249 31 discover discover VB A34005 249 32 a a DT A34005 249 33 Point Point NNP A34005 249 34 which which WDT A34005 249 35 is be VBZ A34005 249 36 called call VBN A34005 249 37 the the DT A34005 249 38 Zenith Zenith NNP A34005 249 39 Point Point NNP A34005 249 40 , , , A34005 249 41 because because IN A34005 249 42 in in IN A34005 249 43 it -PRON- PRP A34005 249 44 all all PDT A34005 249 45 the the DT A34005 249 46 Azimuths azimuth NNS A34005 249 47 do do VBP A34005 249 48 meet meet VB A34005 249 49 ; ; : A34005 249 50 The the DT A34005 249 51 distance distance NN A34005 249 52 between between IN A34005 249 53 this this DT A34005 249 54 Point Point NNP A34005 249 55 and and CC A34005 249 56 the the DT A34005 249 57 Point Point NNP A34005 249 58 where where WRB A34005 249 59 the the DT A34005 249 60 Center Center NNP A34005 249 61 Line Line NNP A34005 249 62 of of IN A34005 249 63 the the DT A34005 249 64 Azimuths Azimuths NNP A34005 249 65 intersects intersect VBZ A34005 249 66 the the DT A34005 249 67 Meridian Meridian NNP A34005 249 68 make make VBP A34005 249 69 the the DT A34005 249 70 Radius Radius NNP A34005 249 71 of of IN A34005 249 72 a a DT A34005 249 73 Tangent Tangent NNP A34005 249 74 , , , A34005 249 75 out out IN A34005 249 76 of of IN A34005 249 77 which which WDT A34005 249 78 Tangent Tangent NNP A34005 249 79 prick prick VBP A34005 249 80 down down RP A34005 249 81 each each DT A34005 249 82 degree degree NN A34005 249 83 successively successively RB A34005 249 84 , , , A34005 249 85 both both CC A34005 249 86 within within IN A34005 249 87 and and CC A34005 249 88 beyond beyond IN A34005 249 89 the the DT A34005 249 90 Projection Projection NNP A34005 249 91 on on IN A34005 249 92 the the DT A34005 249 93 Line Line NNP A34005 249 94 of of IN A34005 249 95 Centers Centers NNPS A34005 249 96 , , , A34005 249 97 and and CC A34005 249 98 you -PRON- PRP A34005 249 99 have have VBP A34005 249 100 the the DT A34005 249 101 Centers Centers NNPS A34005 249 102 for for IN A34005 249 103 all all PDT A34005 249 104 the the DT A34005 249 105 Azimuths Azimuths NNPS A34005 249 106 ; ; : A34005 249 107 where where WRB A34005 249 108 note note VB A34005 249 109 , , , A34005 249 110 that that IN A34005 249 111 the the DT A34005 249 112 Centers Centers NNPS A34005 249 113 of of IN A34005 249 114 all all DT A34005 249 115 Azimuths azimuth NNS A34005 249 116 which which WDT A34005 249 117 exceed exceed VBP A34005 249 118 90d 90d NNS A34005 249 119 will will MD A34005 249 120 fall fall VB A34005 249 121 within within IN A34005 249 122 the the DT A34005 249 123 Projection Projection NNP A34005 249 124 , , , A34005 249 125 and and CC A34005 249 126 of of IN A34005 249 127 all all DT A34005 249 128 others other NNS A34005 249 129 without without IN A34005 249 130 , , , A34005 249 131 the the DT A34005 249 132 distances distance NNS A34005 249 133 of of IN A34005 249 134 these these DT A34005 249 135 respective respective JJ A34005 249 136 Points point NNS A34005 249 137 from from IN A34005 249 138 the the DT A34005 249 139 Zenith Zenith NNP A34005 249 140 Point Point NNP A34005 249 141 , , , A34005 249 142 are be VBP A34005 249 143 the the DT A34005 249 144 Semi Semi NNP A34005 249 145 - - NN A34005 249 146 diameters diameter NNS A34005 249 147 of of IN A34005 249 148 the the DT A34005 249 149 Azimuths Azimuths NNPS A34005 249 150 , , , A34005 249 151 with with IN A34005 249 152 which which WDT A34005 249 153 extents extent NNS A34005 249 154 let let VBP A34005 249 155 them -PRON- PRP A34005 249 156 be be VB A34005 249 157 respectively respectively RB A34005 249 158 drawn draw VBN A34005 249 159 . . . A34005 250 1 To to TO A34005 250 2 draw draw VB A34005 250 3 the the DT A34005 250 4 Summer Summer NNP A34005 250 5 and and CC A34005 250 6 Winter Winter NNP A34005 250 7 Ecliptick Ecliptick NNP A34005 250 8 and and CC A34005 250 9 to to TO A34005 250 10 divide divide VB A34005 250 11 them -PRON- PRP A34005 250 12 . . . A34005 251 1 The the DT A34005 251 2 Summer Summer NNP A34005 251 3 Ecliptick Ecliptick NNP A34005 251 4 is be VBZ A34005 251 5 drawn draw VBN A34005 251 6 from from IN A34005 251 7 the the DT A34005 251 8 Point Point NNP A34005 251 9 of of IN A34005 251 10 the the DT A34005 251 11 Equator Equator NNP A34005 251 12 in in IN A34005 251 13 the the DT A34005 251 14 left left JJ A34005 251 15 edge edge NN A34005 251 16 of of IN A34005 251 17 the the DT A34005 251 18 Quadrant Quadrant NNP A34005 251 19 to to IN A34005 251 20 the the DT A34005 251 21 Tropick Tropick NNP A34005 251 22 of of IN A34005 251 23 Cancer Cancer NNP A34005 251 24 , , , A34005 251 25 and and CC A34005 251 26 the the DT A34005 251 27 Winter Winter NNP A34005 251 28 thence thence NN A34005 251 29 to to IN A34005 251 30 the the DT A34005 251 31 Tropick Tropick NNP A34005 251 32 of of IN A34005 251 33 Capricorn Capricorn NNP A34005 251 34 out out IN A34005 251 35 of of IN A34005 251 36 a a DT A34005 251 37 Line Line NNP A34005 251 38 of of IN A34005 251 39 Tangents tangent NNS A34005 251 40 to to IN A34005 251 41 the the DT A34005 251 42 Radius Radius NNP A34005 251 43 equal equal JJ A34005 251 44 to to IN A34005 251 45 the the DT A34005 251 46 distance distance NN A34005 251 47 of of IN A34005 251 48 the the DT A34005 251 49 Equator Equator NNP A34005 251 50 , , , A34005 251 51 from from IN A34005 251 52 the the DT A34005 251 53 Center Center NNP A34005 251 54 prick prick NN A34005 251 55 down down RP A34005 251 56 the the DT A34005 251 57 Tangent Tangent NNP A34005 251 58 of of IN A34005 251 59 23d 23d CD A34005 251 60 31′ 31′ CD A34005 251 61 the the DT A34005 251 62 Suns Suns NNPS A34005 251 63 greatest great JJS A34005 251 64 declination declination NN A34005 251 65 from from IN A34005 251 66 the the DT A34005 251 67 Center Center NNP A34005 251 68 of of IN A34005 251 69 the the DT A34005 251 70 Quadrant Quadrant NNP A34005 251 71 on on IN A34005 251 72 the the DT A34005 251 73 Meridian Meridian NNP A34005 251 74 Line Line NNP A34005 251 75 towards towards IN A34005 251 76 the the DT A34005 251 77 Limbe Limbe NNP A34005 251 78 , , , A34005 251 79 and and CC A34005 251 80 you -PRON- PRP A34005 251 81 shall shall MD A34005 251 82 discover discover VB A34005 251 83 the the DT A34005 251 84 Center Center NNP A34005 251 85 of of IN A34005 251 86 the the DT A34005 251 87 Summer Summer NNP A34005 251 88 Ecliptick Ecliptick NNP A34005 251 89 with with IN A34005 251 90 the the DT A34005 251 91 same same JJ A34005 251 92 extent extent NN A34005 251 93 , , , A34005 251 94 being be VBG A34005 251 95 the the DT A34005 251 96 Semi Semi NNP A34005 251 97 - - NN A34005 251 98 diameter diameter NN A34005 251 99 thereof thereof RB A34005 251 100 , , , A34005 251 101 set set VB A34005 251 102 one one CD A34005 251 103 foot foot NN A34005 251 104 down down RP A34005 251 105 at at IN A34005 251 106 the the DT A34005 251 107 Tropick Tropick NNP A34005 251 108 of of IN A34005 251 109 Capricorn Capricorn NNP A34005 251 110 , , , A34005 251 111 and and CC A34005 251 112 the the DT A34005 251 113 other other JJ A34005 251 114 will will MD A34005 251 115 fall fall VB A34005 251 116 beyond beyond IN A34005 251 117 the the DT A34005 251 118 Center Center NNP A34005 251 119 of of IN A34005 251 120 the the DT A34005 251 121 Quadrant Quadrant NNP A34005 251 122 on on IN A34005 251 123 the the DT A34005 251 124 right right JJ A34005 251 125 edge edge NN A34005 251 126 , , , A34005 251 127 and and CC A34005 251 128 discovers discover VBZ A34005 251 129 the the DT A34005 251 130 Center Center NNP A34005 251 131 for for IN A34005 251 132 drawing draw VBG A34005 251 133 the the DT A34005 251 134 Winter Winter NNP A34005 251 135 Ecliptick Ecliptick NNP A34005 251 136 ; ; : A34005 251 137 to to TO A34005 251 138 divide divide VB A34005 251 139 them -PRON- PRP A34005 251 140 use use VB A34005 251 141 this this DT A34005 251 142 Canon Canon NNP A34005 251 143 . . . A34005 252 1 As as IN A34005 252 2 the the DT A34005 252 3 Radius Radius NNP A34005 252 4 to to IN A34005 252 5 Tangent Tangent NNP A34005 252 6 of of IN A34005 252 7 the the DT A34005 252 8 Suns Suns NNP A34005 252 9 distance distance NN A34005 252 10 from from IN A34005 252 11 the the DT A34005 252 12 nearest near JJS A34005 252 13 Equinoctial equinoctial JJ A34005 252 14 Point Point NNP A34005 252 15 : : : A34005 252 16 So so CC A34005 252 17 the the DT A34005 252 18 Cosine Cosine NNP A34005 252 19 of of IN A34005 252 20 the the DT A34005 252 21 Suns Suns NNPS A34005 252 22 greatest great JJS A34005 252 23 Declination declination NN A34005 252 24 : : : A34005 252 25 To to IN A34005 252 26 the the DT A34005 252 27 Tangent tangent NN A34005 252 28 of of IN A34005 252 29 the the DT A34005 252 30 Suns Suns NNPS A34005 252 31 right right NN A34005 252 32 Ascension Ascension NNP A34005 252 33 , , , A34005 252 34 which which WDT A34005 252 35 must must MD A34005 252 36 be be VB A34005 252 37 counted count VBN A34005 252 38 in in IN A34005 252 39 the the DT A34005 252 40 Limbe Limbe NNP A34005 252 41 , , , A34005 252 42 and and CC A34005 252 43 from from IN A34005 252 44 it -PRON- PRP A34005 252 45 the the DT A34005 252 46 Suns Suns NNPS A34005 252 47 true true JJ A34005 252 48 place place NN A34005 252 49 graduated graduate VBN A34005 252 50 on on IN A34005 252 51 both both PDT A34005 252 52 the the DT A34005 252 53 Eclipticks Eclipticks NNPS A34005 252 54 . . . A34005 253 1 To to TO A34005 253 2 draw draw VB A34005 253 3 the the DT A34005 253 4 two two CD A34005 253 5 Horizons Horizons NNPS A34005 253 6 , , , A34005 253 7 and and CC A34005 253 8 to to TO A34005 253 9 divide divide VB A34005 253 10 them -PRON- PRP A34005 253 11 . . . A34005 254 1 One one CD A34005 254 2 of of IN A34005 254 3 the the DT A34005 254 4 Horizons Horizons NNPS A34005 254 5 is be VBZ A34005 254 6 the the DT A34005 254 7 Paralel Paralel NNP A34005 254 8 of of IN A34005 254 9 00d 00d NNS A34005 254 10 of of IN A34005 254 11 Altitude altitude NN A34005 254 12 , , , A34005 254 13 which which WDT A34005 254 14 being be VBG A34005 254 15 intersected intersect VBN A34005 254 16 by by IN A34005 254 17 the the DT A34005 254 18 Azimuth Azimuth NNP A34005 254 19 Circles Circles NNP A34005 254 20 , , , A34005 254 21 is be VBZ A34005 254 22 thereby thereby RB A34005 254 23 divided divide VBN A34005 254 24 into into IN A34005 254 25 the the DT A34005 254 26 degrees degree NNS A34005 254 27 of of IN A34005 254 28 the the DT A34005 254 29 Suns Suns NNPS A34005 254 30 Amplitude Amplitude NNP A34005 254 31 ; ; : A34005 254 32 this this DT A34005 254 33 is be VBZ A34005 254 34 the the DT A34005 254 35 upper upper JJ A34005 254 36 Horizon Horizon NNP A34005 254 37 , , , A34005 254 38 and and CC A34005 254 39 the the DT A34005 254 40 drawing draw VBG A34005 254 41 hereof hereof NNP A34005 254 42 was be VBD A34005 254 43 shewed shew VBN A34005 254 44 already already RB A34005 254 45 . . . A34005 255 1 The the DT A34005 255 2 other other JJ A34005 255 3 Horizon Horizon NNP A34005 255 4 is be VBZ A34005 255 5 but but CC A34005 255 6 this this DT A34005 255 7 inverted invert VBD A34005 255 8 , , , A34005 255 9 and and CC A34005 255 10 the the DT A34005 255 11 Divisions Divisions NNPS A34005 255 12 transferred transfer VBN A34005 255 13 from from IN A34005 255 14 that that DT A34005 255 15 , , , A34005 255 16 the the DT A34005 255 17 Center Center NNP A34005 255 18 of of IN A34005 255 19 it -PRON- PRP A34005 255 20 is be VBZ A34005 255 21 found find VBN A34005 255 22 by by IN A34005 255 23 pricking prick VBG A34005 255 24 the the DT A34005 255 25 Tangent Tangent NNP A34005 255 26 of of IN A34005 255 27 the the DT A34005 255 28 Complement Complement NNP A34005 255 29 of of IN A34005 255 30 the the DT A34005 255 31 Latitude Latitude NNP A34005 255 32 on on IN A34005 255 33 the the DT A34005 255 34 Meridian Meridian NNP A34005 255 35 Line Line NNP A34005 255 36 from from IN A34005 255 37 the the DT A34005 255 38 Center Center NNP A34005 255 39 of of IN A34005 255 40 the the DT A34005 255 41 Quadrant Quadrant NNP A34005 255 42 , , , A34005 255 43 the the DT A34005 255 44 distance distance NN A34005 255 45 of of IN A34005 255 46 the the DT A34005 255 47 Equator Equator NNP A34005 255 48 being be VBG A34005 255 49 Radius Radius NNP A34005 255 50 . . . A34005 256 1 But but CC A34005 256 2 it -PRON- PRP A34005 256 3 may may MD A34005 256 4 be be VB A34005 256 5 also also RB A34005 256 6 done do VBN A34005 256 7 from from IN A34005 256 8 the the DT A34005 256 9 Limbe Limbe NNP A34005 256 10 by by IN A34005 256 11 the the DT A34005 256 12 Proportion Proportion NNP A34005 256 13 following follow VBG A34005 256 14 . . . A34005 257 1 As as IN A34005 257 2 Radius Radius NNP A34005 257 3 , , , A34005 257 4 to to IN A34005 257 5 Tangent Tangent NNP A34005 257 6 of of IN A34005 257 7 the the DT A34005 257 8 Latitude Latitude NNP A34005 257 9 ; ; : A34005 257 10 So so CC A34005 257 11 the the DT A34005 257 12 Tangent tangent NN A34005 257 13 of of IN A34005 257 14 the the DT A34005 257 15 Suns Suns NNPS A34005 257 16 greatest great JJS A34005 257 17 Declination Declination NNP A34005 257 18 , , , A34005 257 19 to to IN A34005 257 20 the the DT A34005 257 21 sine sine NN A34005 257 22 of of IN A34005 257 23 the the DT A34005 257 24 greatest great JJS A34005 257 25 Ascensional ascensional JJ A34005 257 26 difference difference NN A34005 257 27 ( ( -LRB- A34005 257 28 which which WDT A34005 257 29 converted convert VBD A34005 257 30 into into IN A34005 257 31 Time Time NNP A34005 257 32 , , , A34005 257 33 gives give VBZ A34005 257 34 the the DT A34005 257 35 time time NN A34005 257 36 of of IN A34005 257 37 the the DT A34005 257 38 Suns Suns NNPS A34005 257 39 rising rise VBG A34005 257 40 or or CC A34005 257 41 setting set VBG A34005 257 42 before before RB A34005 257 43 or or CC A34005 257 44 after after IN A34005 257 45 6 6 CD A34005 257 46 ) ) -RRB- A34005 257 47 by by IN A34005 257 48 which which WDT A34005 257 49 Ark Ark NNP A34005 257 50 of of IN A34005 257 51 the the DT A34005 257 52 Limbe Limbe NNP A34005 257 53 the the DT A34005 257 54 Horizon Horizon NNP A34005 257 55 is be VBZ A34005 257 56 limitted limitte VBN A34005 257 57 ; ; : A34005 257 58 Then then RB A34005 257 59 to to TO A34005 257 60 divide divide VB A34005 257 61 it -PRON- PRP A34005 257 62 say say VB A34005 257 63 As as IN A34005 257 64 the the DT A34005 257 65 Radius Radius NNP A34005 257 66 , , , A34005 257 67 to to IN A34005 257 68 the the DT A34005 257 69 Tangent Tangent NNP A34005 257 70 of of IN A34005 257 71 the the DT A34005 257 72 assigned assigned JJ A34005 257 73 Amplitude Amplitude NNP A34005 257 74 : : : A34005 257 75 So so RB A34005 257 76 is be VBZ A34005 257 77 the the DT A34005 257 78 Sine Sine NNP A34005 257 79 of of IN A34005 257 80 the the DT A34005 257 81 Latitude Latitude NNP A34005 257 82 : : : A34005 257 83 To to IN A34005 257 84 the the DT A34005 257 85 Tangent Tangent NNP A34005 257 86 of of IN A34005 257 87 the the DT A34005 257 88 Ascensional Ascensional NNP A34005 257 89 difference difference NN A34005 257 90 agreeing agree VBG A34005 257 91 thereto thereto NN A34005 257 92 , , , A34005 257 93 which which WDT A34005 257 94 counted count VBD A34005 257 95 in in IN A34005 257 96 the the DT A34005 257 97 Limb Limb NNP A34005 257 98 , , , A34005 257 99 from from IN A34005 257 100 it -PRON- PRP A34005 257 101 the the DT A34005 257 102 Amplitudes Amplitudes NNPS A34005 257 103 may may MD A34005 257 104 be be VB A34005 257 105 divided divide VBN A34005 257 106 on on IN A34005 257 107 both both CC A34005 257 108 the the DT A34005 257 109 Horizons Horizons NNPS A34005 257 110 ; ; : A34005 257 111 and and CC A34005 257 112 note note VB A34005 257 113 , , , A34005 257 114 if if IN A34005 257 115 these these DT A34005 257 116 Amplitudes amplitude NNS A34005 257 117 be be VBP A34005 257 118 not not RB A34005 257 119 coincident coincident JJ A34005 257 120 with with IN A34005 257 121 those those DT A34005 257 122 the the DT A34005 257 123 Azimuths azimuth NNS A34005 257 124 have have VBP A34005 257 125 designed design VBN A34005 257 126 , , , A34005 257 127 then then RB A34005 257 128 are be VBP A34005 257 129 the the DT A34005 257 130 said say VBN A34005 257 131 Azimuths azimuth NNS A34005 257 132 drawn draw VBN A34005 257 133 false false JJ A34005 257 134 . . . A34005 258 1 To to TO A34005 258 2 inscribe inscribe VB A34005 258 3 the the DT A34005 258 4 Stars Stars NNPS A34005 258 5 on on IN A34005 258 6 the the DT A34005 258 7 Projection Projection NNP A34005 258 8 . . . A34005 259 1 Such such JJ A34005 259 2 only only RB A34005 259 3 , , , A34005 259 4 and and CC A34005 259 5 no no DT A34005 259 6 other other JJ A34005 259 7 as as IN A34005 259 8 fall fall NN A34005 259 9 between between IN A34005 259 10 the the DT A34005 259 11 two two CD A34005 259 12 Tropicks tropick NNS A34005 259 13 , , , A34005 259 14 may may MD A34005 259 15 be be VB A34005 259 16 there there RB A34005 259 17 put put VBN A34005 259 18 on on RP A34005 259 19 . . . A34005 260 1 Set Set VBN A34005 260 2 one one CD A34005 260 3 foot foot NN A34005 260 4 of of IN A34005 260 5 the the DT A34005 260 6 Compasses Compasses NNPS A34005 260 7 in in IN A34005 260 8 the the DT A34005 260 9 Center Center NNP A34005 260 10 of of IN A34005 260 11 the the DT A34005 260 12 Quadrant Quadrant NNP A34005 260 13 , , , A34005 260 14 and and CC A34005 260 15 extend extend VB A34005 260 16 the the DT A34005 260 17 other other JJ A34005 260 18 to to IN A34005 260 19 that that DT A34005 260 20 place place NN A34005 260 21 of of IN A34005 260 22 either either DT A34005 260 23 of of IN A34005 260 24 the the DT A34005 260 25 Eclipticks Eclipticks NNPS A34005 260 26 , , , A34005 260 27 as as IN A34005 260 28 corresponds correspond NNS A34005 260 29 to to IN A34005 260 30 the the DT A34005 260 31 given give VBN A34005 260 32 declination declination NN A34005 260 33 of of IN A34005 260 34 the the DT A34005 260 35 Star Star NNP A34005 260 36 , , , A34005 260 37 and and CC A34005 260 38 therewith therewith NNP A34005 260 39 sweep sweep VBP A34005 260 40 an an DT A34005 260 41 occult occult NN A34005 260 42 Ark Ark NNP A34005 260 43 : : : A34005 260 44 I -PRON- PRP A34005 260 45 say say VBP A34005 260 46 then then RB A34005 260 47 that that DT A34005 260 48 a a DT A34005 260 49 Thread thread NN A34005 260 50 from from IN A34005 260 51 the the DT A34005 260 52 Center Center NNP A34005 260 53 of of IN A34005 260 54 the the DT A34005 260 55 Quadrant Quadrant NNP A34005 260 56 laid lay VBD A34005 260 57 over over IN A34005 260 58 the the DT A34005 260 59 Limb Limb NNP A34005 260 60 to to IN A34005 260 61 the the DT A34005 260 62 Stars Stars NNPS A34005 260 63 right right JJ A34005 260 64 Ascension ascension NN A34005 260 65 where where WRB A34005 260 66 it -PRON- PRP A34005 260 67 intersects intersect VBZ A34005 260 68 , , , A34005 260 69 the the DT A34005 260 70 former former JJ A34005 260 71 occult occult NN A34005 260 72 Ark Ark NNP A34005 260 73 is be VBZ A34005 260 74 the the DT A34005 260 75 place place NN A34005 260 76 where where WRB A34005 260 77 the the DT A34005 260 78 proposed propose VBN A34005 260 79 Star Star NNP A34005 260 80 must must MD A34005 260 81 be be VB A34005 260 82 graduated graduate VBN A34005 260 83 . . . A34005 261 1 Of of IN A34005 261 2 the the DT A34005 261 3 Almanack Almanack NNP A34005 261 4 . . . A34005 262 1 There there EX A34005 262 2 is be VBZ A34005 262 3 also also RB A34005 262 4 graved grave VBN A34005 262 5 in in IN A34005 262 6 a a DT A34005 262 7 Rectangular Rectangular NNP A34005 262 8 Square Square NNP A34005 262 9 , , , A34005 262 10 or or CC A34005 262 11 Oblong Oblong NNP A34005 262 12 , , , A34005 262 13 a a DT A34005 262 14 perpetual perpetual JJ A34005 262 15 Almanack Almanack NNP A34005 262 16 , , , A34005 262 17 which which WDT A34005 262 18 may may MD A34005 262 19 stand stand VB A34005 262 20 either either CC A34005 262 21 on on IN A34005 262 22 the the DT A34005 262 23 foreside foreside NN A34005 262 24 or or CC A34005 262 25 back back NN A34005 262 26 of of IN A34005 262 27 the the DT A34005 262 28 Quadrant Quadrant NNP A34005 262 29 , , , A34005 262 30 as as IN A34005 262 31 room room NN A34005 262 32 shall shall MD A34005 262 33 best well RBS A34005 262 34 permit permit VB A34005 262 35 . . . A34005 263 1 On on IN A34005 263 2 the the DT A34005 263 3 Backside backside NN A34005 263 4 of of IN A34005 263 5 the the DT A34005 263 6 Quadrant Quadrant NNP A34005 263 7 there there EX A34005 263 8 is be VBZ A34005 263 9 , , , A34005 263 10 1 1 CD A34005 263 11 . . . A34005 264 1 On on IN A34005 264 2 the the DT A34005 264 3 right right JJ A34005 264 4 edge edge NN A34005 264 5 a a DT A34005 264 6 Line line NN A34005 264 7 of of IN A34005 264 8 Signs sign NNS A34005 264 9 issuing issue VBG A34005 264 10 from from IN A34005 264 11 the the DT A34005 264 12 Center Center NNP A34005 264 13 , , , A34005 264 14 the the DT A34005 264 15 Radius Radius NNP A34005 264 16 whereof whereof NN A34005 264 17 is be VBZ A34005 264 18 in in IN A34005 264 19 length length NN A34005 264 20 5 5 CD A34005 264 21 inches inch NNS A34005 264 22 . . . A34005 265 1 2 2 LS A34005 265 2 . . . A34005 266 1 On on IN A34005 266 2 the the DT A34005 266 3 left left JJ A34005 266 4 edge edge NN A34005 266 5 a a DT A34005 266 6 Line line NN A34005 266 7 of of IN A34005 266 8 Chords Chords NNPS A34005 266 9 issuing issue VBG A34005 266 10 from from IN A34005 266 11 the the DT A34005 266 12 Center Center NNP A34005 266 13 . . . A34005 267 1 3 3 LS A34005 267 2 . . . A34005 268 1 On on IN A34005 268 2 the the DT A34005 268 3 edges edge NNS A34005 268 4 of of IN A34005 268 5 the the DT A34005 268 6 Quadrant Quadrant NNP A34005 268 7 there there EX A34005 268 8 are be VBP A34005 268 9 also also RB A34005 268 10 two two CD A34005 268 11 Scales scale NNS A34005 268 12 for for IN A34005 268 13 the the DT A34005 268 14 more more RBR A34005 268 15 ready ready JJ A34005 268 16 finding find VBG A34005 268 17 the the DT A34005 268 18 Hour Hour NNP A34005 268 19 and and CC A34005 268 20 Azimuths Azimuths NNPS A34005 268 21 in in IN A34005 268 22 one one CD A34005 268 23 Latitude Latitude NNP A34005 268 24 ; ; : A34005 268 25 the the DT A34005 268 26 Hour Hour NNP A34005 268 27 Scale Scale NNP A34005 268 28 is be VBZ A34005 268 29 no no DT A34005 268 30 other other JJ A34005 268 31 then then RB A34005 268 32 62d 62d NNS A34005 268 33 of of IN A34005 268 34 a a DT A34005 268 35 Line Line NNP A34005 268 36 of of IN A34005 268 37 Sines Sines NNP A34005 268 38 , , , A34005 268 39 whose whose WP$ A34005 268 40 Radius Radius NNP A34005 268 41 is be VBZ A34005 268 42 made make VBN A34005 268 43 equal equal JJ A34005 268 44 to to IN A34005 268 45 half half PDT A34005 268 46 the the DT A34005 268 47 Secant secant NN A34005 268 48 of of IN A34005 268 49 the the DT A34005 268 50 Latitude Latitude NNP A34005 268 51 being be VBG A34005 268 52 fitted fit VBN A34005 268 53 for for IN A34005 268 54 London London NNP A34005 268 55 ) ) -RRB- A34005 268 56 to to IN A34005 268 57 the the DT A34005 268 58 common common JJ A34005 268 59 Radius Radius NNP A34005 268 60 of of IN A34005 268 61 the the DT A34005 268 62 Sines Sines NNPS A34005 268 63 ; ; : A34005 268 64 the the DT A34005 268 65 prickt prickt NNS A34005 268 66 Line Line NNP A34005 268 67 of of IN A34005 268 68 Declination Declination NNP A34005 268 69 annexed annex VBN A34005 268 70 to to IN A34005 268 71 it -PRON- PRP A34005 268 72 , , , A34005 268 73 and and CC A34005 268 74 also also RB A34005 268 75 continued continue VBD A34005 268 76 beyond beyond IN A34005 268 77 the the DT A34005 268 78 other other JJ A34005 268 79 end end NN A34005 268 80 of of IN A34005 268 81 it -PRON- PRP A34005 268 82 , , , A34005 268 83 to to IN A34005 268 84 the the DT A34005 268 85 Suns Suns NNPS A34005 268 86 greatest great JJS A34005 268 87 Declination Declination NNP A34005 268 88 is be VBZ A34005 268 89 also also RB A34005 268 90 a a DT A34005 268 91 portion portion NN A34005 268 92 of of IN A34005 268 93 a a DT A34005 268 94 Line Line NNP A34005 268 95 of of IN A34005 268 96 Sines Sines NNPS A34005 268 97 , , , A34005 268 98 the the DT A34005 268 99 Radius Radius NNP A34005 268 100 whereof whereof NN A34005 268 101 is be VBZ A34005 268 102 equal equal JJ A34005 268 103 to to IN A34005 268 104 the the DT A34005 268 105 Sine Sine NNP A34005 268 106 of of IN A34005 268 107 the the DT A34005 268 108 Latitude Latitude NNP A34005 268 109 taken take VBN A34005 268 110 out out IN A34005 268 111 of of IN A34005 268 112 the the DT A34005 268 113 other other JJ A34005 268 114 part part NN A34005 268 115 of of IN A34005 268 116 the the DT A34005 268 117 Scale Scale NNP A34005 268 118 , , , A34005 268 119 or or CC A34005 268 120 which which WDT A34005 268 121 is be VBZ A34005 268 122 all all DT A34005 268 123 one one NN A34005 268 124 the the DT A34005 268 125 Sine Sine NNP A34005 268 126 of of IN A34005 268 127 the the DT A34005 268 128 Suns Suns NNPS A34005 268 129 greatest great JJS A34005 268 130 declination declination NN A34005 268 131 is be VBZ A34005 268 132 made make VBN A34005 268 133 equal equal JJ A34005 268 134 to to IN A34005 268 135 the the DT A34005 268 136 Sine Sine NNP A34005 268 137 of of IN A34005 268 138 the the DT A34005 268 139 greatest great JJS A34005 268 140 Altitude altitude NN A34005 268 141 at at IN A34005 268 142 the the DT A34005 268 143 hour hour NN A34005 268 144 of of IN A34005 268 145 6 6 CD A34005 268 146 taken take VBN A34005 268 147 out out IN A34005 268 148 of of IN A34005 268 149 the the DT A34005 268 150 other other JJ A34005 268 151 part part NN A34005 268 152 of of IN A34005 268 153 the the DT A34005 268 154 Scale Scale NNP A34005 268 155 , , , A34005 268 156 which which WDT A34005 268 157 at at IN A34005 268 158 London London NNP A34005 268 159 is be VBZ A34005 268 160 18d 18d CD A34005 268 161 12 12 CD A34005 268 162 m m NN A34005 268 163 4 4 CD A34005 268 164 . . . A34005 269 1 The the DT A34005 269 2 Azimuth Azimuth NNP A34005 269 3 Scale Scale NNP A34005 269 4 is be VBZ A34005 269 5 also also RB A34005 269 6 62d 62d NNS A34005 269 7 of of IN A34005 269 8 a a DT A34005 269 9 Line Line NNP A34005 269 10 of of IN A34005 269 11 Sines Sines NNP A34005 269 12 , , , A34005 269 13 whose whose WP$ A34005 269 14 Radius Radius NNP A34005 269 15 is be VBZ A34005 269 16 made make VBN A34005 269 17 equal equal JJ A34005 269 18 to to IN A34005 269 19 half half PDT A34005 269 20 the the DT A34005 269 21 Tangent Tangent NNP A34005 269 22 of of IN A34005 269 23 the the DT A34005 269 24 Latitude Latitude NNP A34005 269 25 to to IN A34005 269 26 the the DT A34005 269 27 common common JJ A34005 269 28 Radius Radius NNP A34005 269 29 of of IN A34005 269 30 the the DT A34005 269 31 Sines Sines NNPS A34005 269 32 , , , A34005 269 33 the the DT A34005 269 34 Line Line NNP A34005 269 35 of of IN A34005 269 36 the the DT A34005 269 37 Declination Declination NNP A34005 269 38 annexed annex VBN A34005 269 39 to to IN A34005 269 40 it -PRON- PRP A34005 269 41 , , , A34005 269 42 and and CC A34005 269 43 continued continue VBD A34005 269 44 beyond beyond IN A34005 269 45 it -PRON- PRP A34005 269 46 : : : A34005 269 47 To to IN A34005 269 48 the the DT A34005 269 49 Suns Suns NNPS A34005 269 50 greatest great JJS A34005 269 51 Declination Declination NNP A34005 269 52 is be VBZ A34005 269 53 also also RB A34005 269 54 a a DT A34005 269 55 portion portion NN A34005 269 56 of of IN A34005 269 57 a a DT A34005 269 58 Line Line NNP A34005 269 59 of of IN A34005 269 60 Sines Sines NNPS A34005 269 61 of of IN A34005 269 62 such such PDT A34005 269 63 a a DT A34005 269 64 length length NN A34005 269 65 whereof whereof NN A34005 269 66 the the DT A34005 269 67 Sine Sine NNP A34005 269 68 of of IN A34005 269 69 the the DT A34005 269 70 Latitude Latitude NNP A34005 269 71 is be VBZ A34005 269 72 equal equal JJ A34005 269 73 to to IN A34005 269 74 the the DT A34005 269 75 Radius Radius NNP A34005 269 76 of of IN A34005 269 77 the the DT A34005 269 78 Sines Sines NNPS A34005 269 79 of of IN A34005 269 80 the the DT A34005 269 81 other other JJ A34005 269 82 part part NN A34005 269 83 of of IN A34005 269 84 this this DT A34005 269 85 fitted fitted JJ A34005 269 86 Scale Scale NNP A34005 269 87 ; ; : A34005 269 88 or or CC A34005 269 89 which which WDT A34005 269 90 is be VBZ A34005 269 91 all all DT A34005 269 92 one one CD A34005 269 93 , , , A34005 269 94 the the DT A34005 269 95 length length NN A34005 269 96 of of IN A34005 269 97 the the DT A34005 269 98 Suns Suns NNPS A34005 269 99 greatest great JJS A34005 269 100 Declination Declination NNP A34005 269 101 is be VBZ A34005 269 102 made make VBN A34005 269 103 equal equal JJ A34005 269 104 to to IN A34005 269 105 the the DT A34005 269 106 Suns Suns NNPS A34005 269 107 greatest great JJS A34005 269 108 Vertical Vertical NNP A34005 269 109 Altitude Altitude NNP A34005 269 110 , , , A34005 269 111 which which WDT A34005 269 112 in in IN A34005 269 113 this this DT A34005 269 114 Latitude Latitude NNP A34005 269 115 is be VBZ A34005 269 116 30d 30d CD A34005 269 117 39′ 39′ CD A34005 269 118 of of IN A34005 269 119 the the DT A34005 269 120 other other JJ A34005 269 121 Sine Sine NNP A34005 269 122 or or CC A34005 269 123 Line Line NNP A34005 269 124 of of IN A34005 269 125 Altitudes altitude NNS A34005 269 126 . . . A34005 270 1 The the DT A34005 270 2 Limbe Limbe NNP A34005 270 3 is be VBZ A34005 270 4 numbred numbre VBN A34005 270 5 both both DT A34005 270 6 with with IN A34005 270 7 degrees degree NNS A34005 270 8 and and CC A34005 270 9 time time NN A34005 270 10 , , , A34005 270 11 from from IN A34005 270 12 the the DT A34005 270 13 right right JJ A34005 270 14 edge edge NN A34005 270 15 towards towards IN A34005 270 16 the the DT A34005 270 17 left left NN A34005 270 18 . . . A34005 271 1 Between between IN A34005 271 2 the the DT A34005 271 3 Limbe Limbe NNP A34005 271 4 and and CC A34005 271 5 the the DT A34005 271 6 Center Center NNP A34005 271 7 are be VBP A34005 271 8 put put VBN A34005 271 9 on on RP A34005 271 10 in in IN A34005 271 11 Circles Circles NNP A34005 271 12 , , , A34005 271 13 the the DT A34005 271 14 Scales Scales NNPS A34005 271 15 following follow VBG A34005 271 16 . . . A34005 272 1 1 1 LS A34005 272 2 , , , A34005 272 3 A a DT A34005 272 4 Line Line NNP A34005 272 5 of of IN A34005 272 6 Versed versed JJ A34005 272 7 Sines Sines NNPS A34005 272 8 to to IN A34005 272 9 180 180 CD A34005 272 10 degrees degree NNS A34005 272 11 . . . A34005 273 1 2 2 LS A34005 273 2 . . . A34005 274 1 A a DT A34005 274 2 Line line NN A34005 274 3 of of IN A34005 274 4 Secants secant NNS A34005 274 5 to to IN A34005 274 6 60d 60d NNS A34005 274 7 the the DT A34005 274 8 graduations graduation NNS A34005 274 9 whereof whereof PRP A34005 274 10 begin begin VB A34005 274 11 against against IN A34005 274 12 30d 30d NNS A34005 274 13 of of IN A34005 274 14 the the DT A34005 274 15 Limbe Limbe NNP A34005 274 16 , , , A34005 274 17 to to TO A34005 274 18 apply apply VB A34005 274 19 which which WDT A34005 274 20 Vacancy Vacancy NNP A34005 274 21 , , , A34005 274 22 and and CC A34005 274 23 for for IN A34005 274 24 other other JJ A34005 274 25 good good JJ A34005 274 26 uses use NNS A34005 274 27 , , , A34005 274 28 there there EX A34005 274 29 is be VBZ A34005 274 30 put put VBN A34005 274 31 on on IN A34005 274 32 a a DT A34005 274 33 Line Line NNP A34005 274 34 of of IN A34005 274 35 90 90 CD A34005 274 36 Sines Sines NNPS A34005 274 37 , , , A34005 274 38 ending end VBG A34005 274 39 where where WRB A34005 274 40 the the DT A34005 274 41 former former JJ A34005 274 42 graduations graduation NNS A34005 274 43 begin begin VBP A34005 274 44 ; ; : A34005 274 45 this this DT A34005 274 46 is be VBZ A34005 274 47 called call VBN A34005 274 48 the the DT A34005 274 49 lesser less JJR A34005 274 50 Sines Sines NNP A34005 274 51 . . . A34005 275 1 3 3 LS A34005 275 2 . . . A34005 276 1 A a DT A34005 276 2 Line Line NNP A34005 276 3 of of IN A34005 276 4 Tangents Tangents NNP A34005 276 5 graduated graduate VBD A34005 276 6 to to IN A34005 276 7 63d 63d CD A34005 276 8 26′ 26′ CD A34005 276 9 4 4 CD A34005 276 10 . . . A34005 277 1 A a DT A34005 277 2 Line line NN A34005 277 3 of of IN A34005 277 4 Versed versed JJ A34005 277 5 Sines Sines NNPS A34005 277 6 to to IN A34005 277 7 60d 60d NNS A34005 277 8 through through IN A34005 277 9 the the DT A34005 277 10 whole whole JJ A34005 277 11 Limbe Limbe NNP A34005 277 12 , , , A34005 277 13 called call VBN A34005 277 14 the the DT A34005 277 15 Versed Versed NNP A34005 277 16 Sines Sines NNPS A34005 277 17 quadrupled quadruple VBD A34005 277 18 , , , A34005 277 19 because because IN A34005 277 20 the the DT A34005 277 21 Radius Radius NNP A34005 277 22 hereof hereof NN A34005 277 23 is be VBZ A34005 277 24 quadruple quadruple NN A34005 277 25 to to IN A34005 277 26 the the DT A34005 277 27 Radius Radius NNP A34005 277 28 of of IN A34005 277 29 the the DT A34005 277 30 former former JJ A34005 277 31 Versed Versed NNP A34005 277 32 Sines Sines NNPS A34005 277 33 . . . A34005 278 1 5 5 CD A34005 278 2 . . . A34005 279 1 A a DT A34005 279 2 Line line NN A34005 279 3 of of IN A34005 279 4 double double JJ A34005 279 5 Tangents tangent NNS A34005 279 6 , , , A34005 279 7 or or CC A34005 279 8 Scale scale NN A34005 279 9 of of IN A34005 279 10 hours hour NNS A34005 279 11 , , , A34005 279 12 being be VBG A34005 279 13 the the DT A34005 279 14 same same JJ A34005 279 15 Dyalling Dyalling NNP A34005 279 16 Scale Scale NNP A34005 279 17 as as IN A34005 279 18 was be VBD A34005 279 19 described describe VBN A34005 279 20 on on IN A34005 279 21 the the DT A34005 279 22 foreside foreside NN A34005 279 23 . . . A34005 280 1 6 6 CD A34005 280 2 . . . A34005 281 1 A a DT A34005 281 2 Tangent tangent NN A34005 281 3 of of IN A34005 281 4 45d 45d CD A34005 281 5 or or CC A34005 281 6 three three CD A34005 281 7 hours hour NNS A34005 281 8 through through IN A34005 281 9 the the DT A34005 281 10 whole whole JJ A34005 281 11 Limbe Limbe NNP A34005 281 12 for for IN A34005 281 13 Dyalling dyalle VBG A34005 281 14 , , , A34005 281 15 which which WDT A34005 281 16 may may MD A34005 281 17 also also RB A34005 281 18 be be VB A34005 281 19 numbred numbre VBN A34005 281 20 by by IN A34005 281 21 the the DT A34005 281 22 Ark Ark NNP A34005 281 23 doubled double VBD A34005 281 24 to to TO A34005 281 25 serve serve VB A34005 281 26 for for IN A34005 281 27 a a DT A34005 281 28 Projection Projection NNP A34005 281 29 Tangent Tangent NNP A34005 281 30 , , , A34005 281 31 alias alia VBZ A34005 281 32 a a DT A34005 281 33 Semi semi JJ A34005 281 34 - - NN A34005 281 35 tangent tangent NN A34005 281 36 . . . A34005 282 1 7 7 LS A34005 282 2 . . . A34005 283 1 In in IN A34005 283 2 another another DT A34005 283 3 Quadrant Quadrant NNP A34005 283 4 of of IN A34005 283 5 a a DT A34005 283 6 Circle Circle NNP A34005 283 7 may may MD A34005 283 8 be be VB A34005 283 9 inscribed inscribe VBN A34005 283 10 a a DT A34005 283 11 portion portion NN A34005 283 12 of of IN A34005 283 13 a a DT A34005 283 14 Versed Versed NNP A34005 283 15 Sine Sine NNP A34005 283 16 to to IN A34005 283 17 eight eight CD A34005 283 18 times time NNS A34005 283 19 the the DT A34005 283 20 Radius Radius NNP A34005 283 21 encreased encrease VBD A34005 283 22 , , , A34005 283 23 of of IN A34005 283 24 that that DT A34005 283 25 of of IN A34005 283 26 180d 180d NNPS A34005 283 27 called call VBD A34005 283 28 the the DT A34005 283 29 Occupled Occupled NNP A34005 283 30 Versed Versed NNP A34005 283 31 Sine Sine NNP A34005 283 32 , , , A34005 283 33 and and CC A34005 283 34 at at IN A34005 283 35 the the DT A34005 283 36 end end NN A34005 283 37 of of IN A34005 283 38 this this DT A34005 283 39 from from IN A34005 283 40 the the DT A34005 283 41 other other JJ A34005 283 42 edge edge NN A34005 283 43 , , , A34005 283 44 another another DT A34005 283 45 portion portion NN A34005 283 46 of of IN A34005 283 47 a a DT A34005 283 48 Versed Versed NNP A34005 283 49 Sine Sine NNP A34005 283 50 to to IN A34005 283 51 12 12 CD A34005 283 52 times time NNS A34005 283 53 the the DT A34005 283 54 Radius Radius NNP A34005 283 55 encreased encrease VBD A34005 283 56 may may MD A34005 283 57 be be VB A34005 283 58 put put VBN A34005 283 59 on on RP A34005 283 60 . . . A34005 284 1 8 8 LS A34005 284 2 . . . A34005 285 1 Lastly lastly RB A34005 285 2 , , , A34005 285 3 above above IN A34005 285 4 all all PDT A34005 285 5 these these DT A34005 285 6 is be VBZ A34005 285 7 the the DT A34005 285 8 Scale Scale NNP A34005 285 9 of of IN A34005 285 10 Hours Hours NNPS A34005 285 11 or or CC A34005 285 12 Nocturnal Nocturnal NNP A34005 285 13 with with IN A34005 285 14 Stars Stars NNPS A34005 285 15 names name NNS A34005 285 16 graved grave VBN A34005 285 17 within within IN A34005 285 18 it -PRON- PRP A34005 285 19 towards towards IN A34005 285 20 the the DT A34005 285 21 Center Center NNP A34005 285 22 ; ; : A34005 285 23 this this DT A34005 285 24 is be VBZ A34005 285 25 divided divide VBN A34005 285 26 into into IN A34005 285 27 12 12 CD A34005 285 28 equal equal JJ A34005 285 29 hours hour NNS A34005 285 30 and and CC A34005 285 31 their -PRON- PRP$ A34005 285 32 parts part NNS A34005 285 33 , , , A34005 285 34 and and CC A34005 285 35 the the DT A34005 285 36 Stars star NNS A34005 285 37 are be VBP A34005 285 38 put put VBN A34005 285 39 on on RP A34005 285 40 from from IN A34005 285 41 their -PRON- PRP$ A34005 285 42 right right JJ A34005 285 43 Ascensions Ascensions NNPS A34005 285 44 , , , A34005 285 45 only only RB A34005 285 46 with with IN A34005 285 47 their -PRON- PRP$ A34005 285 48 declination declination NN A34005 285 49 figured figure VBN A34005 285 50 against against IN A34005 285 51 them -PRON- PRP A34005 285 52 . . . A34005 286 1 All all PDT A34005 286 2 the the DT A34005 286 3 Lines line NNS A34005 286 4 put put VBD A34005 286 5 on on RP A34005 286 6 in in IN A34005 286 7 Quadrants quadrant NNS A34005 286 8 of of IN A34005 286 9 Circles Circles NNP A34005 286 10 must must MD A34005 286 11 be be VB A34005 286 12 inscribed inscribe VBN A34005 286 13 from from IN A34005 286 14 the the DT A34005 286 15 Limbe Limbe NNP A34005 286 16 by by IN A34005 286 17 help help NN A34005 286 18 of of IN A34005 286 19 Tables Tables NNPS A34005 286 20 , , , A34005 286 21 carefully carefully RB A34005 286 22 made make VBN A34005 286 23 for for IN A34005 286 24 that that DT A34005 286 25 purpose purpose NN A34005 286 26 ; ; : A34005 286 27 an an DT A34005 286 28 instance instance NN A34005 286 29 shall shall MD A34005 286 30 be be VB A34005 286 31 given give VBN A34005 286 32 how how WRB A34005 286 33 the the DT A34005 286 34 Line Line NNP A34005 286 35 of of IN A34005 286 36 Versed Versed NNP A34005 286 37 Sines Sines NNPS A34005 286 38 to to IN A34005 286 39 180d 180d NNPS A34005 286 40 was be VBD A34005 286 41 inscribed inscribe VBN A34005 286 42 , , , A34005 286 43 and and CC A34005 286 44 after after IN A34005 286 45 the the DT A34005 286 46 same same JJ A34005 286 47 manner manner NN A34005 286 48 that that WDT A34005 286 49 was be VBD A34005 286 50 put put VBN A34005 286 51 on on RP A34005 286 52 , , , A34005 286 53 must must MD A34005 286 54 all all PDT A34005 286 55 the the DT A34005 286 56 rest rest NN A34005 286 57 : : : A34005 286 58 Imagine imagine VB A34005 286 59 a a DT A34005 286 60 Line Line NNP A34005 286 61 of of IN A34005 286 62 Versed versed JJ A34005 286 63 Sines Sines NNPS A34005 286 64 to to IN A34005 286 65 180d 180d NNPS A34005 286 66 to to TO A34005 286 67 stand stand VB A34005 286 68 upon upon IN A34005 286 69 the the DT A34005 286 70 left left JJ A34005 286 71 edge edge NN A34005 286 72 of of IN A34005 286 73 a a DT A34005 286 74 Quadrant Quadrant NNP A34005 286 75 from from IN A34005 286 76 the the DT A34005 286 77 Center Center NNP A34005 286 78 with with IN A34005 286 79 the the DT A34005 286 80 whole whole JJ A34005 286 81 length length NN A34005 286 82 thereof thereof RB A34005 286 83 upon upon IN A34005 286 84 the the DT A34005 286 85 Center Center NNP A34005 286 86 sweep sweep NN A34005 286 87 the the DT A34005 286 88 Arch Arch NNP A34005 286 89 of of IN A34005 286 90 a a DT A34005 286 91 Circle Circle NNP A34005 286 92 , , , A34005 286 93 and and CC A34005 286 94 then then RB A34005 286 95 suppose suppose VB A34005 286 96 Lines line NNS A34005 286 97 drawn draw VBN A34005 286 98 through through IN A34005 286 99 each each DT A34005 286 100 graduation graduation NN A34005 286 101 or or CC A34005 286 102 degree degree NN A34005 286 103 thereof thereof RB A34005 286 104 continued continue VBD A34005 286 105 parralel parralel RB A34005 286 106 to to IN A34005 286 107 the the DT A34005 286 108 right right JJ A34005 286 109 edge edge NN A34005 286 110 till till IN A34005 286 111 they -PRON- PRP A34005 286 112 intersect intersect VBP A34005 286 113 the the DT A34005 286 114 Arch Arch NNP A34005 286 115 formerly formerly RB A34005 286 116 swept sweep VBN A34005 286 117 which which WDT A34005 286 118 shall shall MD A34005 286 119 be be VB A34005 286 120 divided divide VBN A34005 286 121 in in IN A34005 286 122 such such JJ A34005 286 123 manner manner NN A34005 286 124 as as IN A34005 286 125 the the DT A34005 286 126 Line Line NNP A34005 286 127 of of IN A34005 286 128 Versed versed JJ A34005 286 129 Sines Sines NNPS A34005 286 130 on on IN A34005 286 131 this this DT A34005 286 132 Quadrant Quadrant NNP A34005 286 133 is be VBZ A34005 286 134 done do VBN A34005 286 135 . . . A34005 287 1 But but CC A34005 287 2 to to TO A34005 287 3 do do VB A34005 287 4 this this DT A34005 287 5 by by IN A34005 287 6 Calculation Calculation NNP A34005 287 7 , , , A34005 287 8 A a DT A34005 287 9 Table table NN A34005 287 10 of of IN A34005 287 11 natural natural JJ A34005 287 12 Versed Versed NNP A34005 287 13 Sines Sines NNPS A34005 287 14 must must MD A34005 287 15 first first RB A34005 287 16 be be VB A34005 287 17 made make VBN A34005 287 18 , , , A34005 287 19 which which WDT A34005 287 20 for for IN A34005 287 21 all all DT A34005 287 22 Arks Arks NNP A34005 287 23 under under IN A34005 287 24 90d 90d NNS A34005 287 25 are be VBP A34005 287 26 found find VBN A34005 287 27 by by IN A34005 287 28 substracting substracte VBG A34005 287 29 the the DT A34005 287 30 Sine Sine NNP A34005 287 31 Complement Complement NNP A34005 287 32 from from IN A34005 287 33 the the DT A34005 287 34 Radius radius NN A34005 287 35 , , , A34005 287 36 so so RB A34005 287 37 the the DT A34005 287 38 Sine Sine NNP A34005 287 39 of of IN A34005 287 40 20d 20d NNS A34005 287 41 is be VBZ A34005 287 42 34202 34202 CD A34005 287 43 which which WDT A34005 287 44 substracted substracte VBD A34005 287 45 from from IN A34005 287 46 the the DT A34005 287 47 Radius Radius NNP A34005 287 48 rests rest VBZ A34005 287 49 65798 65798 CD A34005 287 50 , , , A34005 287 51 which which WDT A34005 287 52 is be VBZ A34005 287 53 the the DT A34005 287 54 Versed versed JJ A34005 287 55 Sine Sine NNP A34005 287 56 of of IN A34005 287 57 70d 70d NNPS A34005 287 58 : : : A34005 287 59 And and CC A34005 287 60 for for IN A34005 287 61 all all DT A34005 287 62 Arks Arks NNP A34005 287 63 above above IN A34005 287 64 90d 90d NNS A34005 287 65 are be VBP A34005 287 66 got get VBN A34005 287 67 by by IN A34005 287 68 adding add VBG A34005 287 69 the the DT A34005 287 70 Sine Sine NNP A34005 287 71 of of IN A34005 287 72 the the DT A34005 287 73 Arks Arks NNP A34005 287 74 excess excess NN A34005 287 75 above above IN A34005 287 76 90d 90d NNS A34005 287 77 unto unto IN A34005 287 78 the the DT A34005 287 79 Radius radius NN A34005 287 80 : : : A34005 287 81 thus thus RB A34005 287 82 the the DT A34005 287 83 Versed Versed NNP A34005 287 84 Sine Sine NNP A34005 287 85 of of IN A34005 287 86 110d 110d NNPS A34005 287 87 is be VBZ A34005 287 88 found find VBN A34005 287 89 by by IN A34005 287 90 adding add VBG A34005 287 91 the the DT A34005 287 92 Sine Sine NNP A34005 287 93 of of IN A34005 287 94 20d 20d NNS A34005 287 95 to to IN A34005 287 96 the the DT A34005 287 97 Radius Radius NNP A34005 287 98 , , , A34005 287 99 which which WDT A34005 287 100 will will MD A34005 287 101 make make VB A34005 287 102 134202 134202 CD A34005 287 103 for for IN A34005 287 104 the the DT A34005 287 105 Versed Versed NNP A34005 287 106 Sine Sine NNP A34005 287 107 of of IN A34005 287 108 the the DT A34005 287 109 Said Said NNP A34005 287 110 Ark. Arkansas NNP A34005 288 1 This this DT A34005 288 2 Table table NN A34005 288 3 , , , A34005 288 4 or or CC A34005 288 5 the the DT A34005 288 6 like like NN A34005 288 7 of of IN A34005 288 8 another another DT A34005 288 9 kind kind NN A34005 288 10 , , , A34005 288 11 being be VBG A34005 288 12 thus thus RB A34005 288 13 prepared prepare VBN A34005 288 14 , , , A34005 288 15 the the DT A34005 288 16 proportion proportion NN A34005 288 17 for for IN A34005 288 18 inscribing inscribing NN A34005 288 19 of of IN A34005 288 20 it -PRON- PRP A34005 288 21 will will MD A34005 288 22 hold hold VB A34005 288 23 . . . A34005 289 1 As as IN A34005 289 2 the the DT A34005 289 3 length length NN A34005 289 4 of of IN A34005 289 5 the the DT A34005 289 6 Line Line NNP A34005 289 7 supposed suppose VBN A34005 289 8 to to TO A34005 289 9 be be VB A34005 289 10 posited posit VBN A34005 289 11 on on IN A34005 289 12 the the DT A34005 289 13 left left JJ A34005 289 14 edge edge NN A34005 289 15 , , , A34005 289 16 Is be VBZ A34005 289 17 to to IN A34005 289 18 the the DT A34005 289 19 Radius Radius NNP A34005 289 20 , , , A34005 289 21 So so RB A34005 289 22 is be VBZ A34005 289 23 any any DT A34005 289 24 part part NN A34005 289 25 of of IN A34005 289 26 that that DT A34005 289 27 length length NN A34005 289 28 To to IN A34005 289 29 the the DT A34005 289 30 Sine Sine NNP A34005 289 31 of of IN A34005 289 32 an an DT A34005 289 33 Arch Arch NNP A34005 289 34 , , , A34005 289 35 which which WDT A34005 289 36 sought seek VBD A34005 289 37 in in IN A34005 289 38 the the DT A34005 289 39 Tables Tables NNPS A34005 289 40 , , , A34005 289 41 gives give VBZ A34005 289 42 the the DT A34005 289 43 Arch Arch NNP A34005 289 44 of of IN A34005 289 45 the the DT A34005 289 46 Limbe Limbe NNP A34005 289 47 against against IN A34005 289 48 which which WDT A34005 289 49 the the DT A34005 289 50 degree degree NN A34005 289 51 of of IN A34005 289 52 the the DT A34005 289 53 Line Line NNP A34005 289 54 proposed propose VBN A34005 289 55 must must MD A34005 289 56 be be VB A34005 289 57 graduated graduate VBN A34005 289 58 . . . A34005 290 1 But but CC A34005 290 2 in in IN A34005 290 3 regard regard NN A34005 290 4 the the DT A34005 290 5 Versed Versed NNP A34005 290 6 Sine Sine NNP A34005 290 7 of of IN A34005 290 8 180d 180d NNPS A34005 290 9 is be VBZ A34005 290 10 equal equal JJ A34005 290 11 to to IN A34005 290 12 the the DT A34005 290 13 double double JJ A34005 290 14 of of IN A34005 290 15 the the DT A34005 290 16 Radius Radius NNP A34005 290 17 ; ; : A34005 290 18 the the DT A34005 290 19 Table table NN A34005 290 20 for for IN A34005 290 21 inscribing inscribe VBG A34005 290 22 it -PRON- PRP A34005 290 23 will will MD A34005 290 24 be be VB A34005 290 25 easily easily RB A34005 290 26 made make VBN A34005 290 27 by by IN A34005 290 28 halfing halfe VBG A34005 290 29 the the DT A34005 290 30 Versed Versed NNP A34005 290 31 Sine Sine NNP A34005 290 32 proposed propose VBD A34005 290 33 , , , A34005 290 34 and and CC A34005 290 35 seeking seek VBG A34005 290 36 that that IN A34005 290 37 half half NN A34005 290 38 in in IN A34005 290 39 the the DT A34005 290 40 Table table NN A34005 290 41 of of IN A34005 290 42 natural natural JJ A34005 290 43 Sines Sines NNPS A34005 290 44 , , , A34005 290 45 so so CC A34005 290 46 the the DT A34005 290 47 half half NN A34005 290 48 of of IN A34005 290 49 the the DT A34005 290 50 Versed Versed NNP A34005 290 51 Sine Sine NNP A34005 290 52 of of IN A34005 290 53 70d 70d NNPS A34005 290 54 is be VBZ A34005 290 55 32899 32899 CD A34005 290 56 which which WDT A34005 290 57 sought seek VBD A34005 290 58 in in IN A34005 290 59 the the DT A34005 290 60 Table table NN A34005 290 61 of of IN A34005 290 62 natural natural JJ A34005 290 63 Sines sine NNS A34005 290 64 , , , A34005 290 65 gives give VBZ A34005 290 66 19d 19d NNS A34005 290 67 13′ 13′ CD A34005 290 68 fore fore NN A34005 290 69 of of IN A34005 290 70 the the DT A34005 290 71 Limb Limb NNP A34005 290 72 against against IN A34005 290 73 which which WDT A34005 290 74 the the DT A34005 290 75 Versed Versed NNP A34005 290 76 Sine Sine NNP A34005 290 77 aforesaid aforesaid VBD A34005 290 78 is be VBZ A34005 290 79 to to TO A34005 290 80 be be VB A34005 290 81 graduated graduate VBN A34005 290 82 , , , A34005 290 83 and and CC A34005 290 84 so so RB A34005 290 85 the the DT A34005 290 86 half half NN A34005 290 87 of of IN A34005 290 88 the the DT A34005 290 89 Versed Versed NNP A34005 290 90 Sine Sine NNP A34005 290 91 of of IN A34005 290 92 110d 110d NNPS A34005 290 93 is be VBZ A34005 290 94 67101 67101 CD A34005 290 95 which which WDT A34005 290 96 answers answer VBZ A34005 290 97 to to IN A34005 290 98 42d 42d CD A34005 290 99 9′ 9′ CD A34005 290 100 of of IN A34005 290 101 the the DT A34005 290 102 sines sine NNS A34005 290 103 or or CC A34005 290 104 Limb Limb NNP A34005 290 105 . . . A34005 291 1 So so RB A34005 291 2 likewise likewise RB A34005 291 3 the the DT A34005 291 4 Table table NN A34005 291 5 for for IN A34005 291 6 putting put VBG A34005 291 7 on on RP A34005 291 8 the the DT A34005 291 9 lesser less JJR A34005 291 10 Sines Sines NNP A34005 291 11 was be VBD A34005 291 12 made make VBN A34005 291 13 by by IN A34005 291 14 halfeing halfee VBG A34005 291 15 the the DT A34005 291 16 natural natural JJ A34005 291 17 Sines Sines NNPS A34005 291 18 , , , A34005 291 19 and and CC A34005 291 20 then then RB A34005 291 21 seeking seek VBG A34005 291 22 what what WP A34005 291 23 Arks Arks NNP A34005 291 24 corresponded correspond VBD A34005 291 25 thereto thereto NN A34005 291 26 in in IN A34005 291 27 the the DT A34005 291 28 natural natural JJ A34005 291 29 Sines Sines NNP A34005 291 30 aforesaid aforesaid VBD A34005 291 31 ; ; : A34005 291 32 those those DT A34005 291 33 that that WDT A34005 291 34 think think VBP A34005 291 35 these these DT A34005 291 36 Lines line NNS A34005 291 37 to to IN A34005 291 38 many many JJ A34005 291 39 may may MD A34005 291 40 very very RB A34005 291 41 well well RB A34005 291 42 want want VB A34005 291 43 the the DT A34005 291 44 Versed Versed NNP A34005 291 45 Sines Sines NNPS A34005 291 46 so so RB A34005 291 47 oft oft RB A34005 291 48 repeated repeat VBD A34005 291 49 ; ; : A34005 291 50 And and CC A34005 291 51 they -PRON- PRP A34005 291 52 that that WDT A34005 291 53 will will MD A34005 291 54 admit admit VB A34005 291 55 of of IN A34005 291 56 a a DT A34005 291 57 Radius Radius NNP A34005 291 58 of of IN A34005 291 59 6 6 CD A34005 291 60 or or CC A34005 291 61 7 7 CD A34005 291 62 inches inch NNS A34005 291 63 , , , A34005 291 64 may may MD A34005 291 65 have have VB A34005 291 66 the the DT A34005 291 67 Line Line NNP A34005 291 68 of of IN A34005 291 69 Lines Lines NNP A34005 291 70 Superficies Superficies NNPS A34005 291 71 and and CC A34005 291 72 Solids solid NNS A34005 291 73 , , , A34005 291 74 put put VBN A34005 291 75 on on RP A34005 291 76 in in IN A34005 291 77 the the DT A34005 291 78 Limb Limb NNP A34005 291 79 on on IN A34005 291 80 the the DT A34005 291 81 foreside foreside NN A34005 291 82 , , , A34005 291 83 and and CC A34005 291 84 the the DT A34005 291 85 Segments Segments NNP A34005 291 86 Quadrature Quadrature NNP A34005 291 87 , , , A34005 291 88 Equated Equated NNP A34005 291 89 Bodies Bodies NNPS A34005 291 90 , , , A34005 291 91 Mettalls Mettalls NNPS A34005 291 92 , , , A34005 291 93 and and CC A34005 291 94 inscribed inscribe VBD A34005 291 95 Bodies Bodies NNPS A34005 291 96 , , , A34005 291 97 or or CC A34005 291 98 other other JJ A34005 291 99 Lines line NNS A34005 291 100 at at IN A34005 291 101 pleasure pleasure NN A34005 291 102 put put VBN A34005 291 103 on on RP A34005 291 104 upon upon IN A34005 291 105 the the DT A34005 291 106 backside backside NN A34005 291 107 , , , A34005 291 108 as as IN A34005 291 109 hath hath NNP A34005 291 110 been be VBN A34005 291 111 already already RB A34005 291 112 done do VBN A34005 291 113 upon upon IN A34005 291 114 some some DT A34005 291 115 Quadrants quadrant NNS A34005 291 116 . . . A34005 292 1 Now now RB A34005 292 2 to to IN A34005 292 3 the the DT A34005 292 4 Use Use NNP A34005 292 5 . . . A34005 293 1 The the DT A34005 293 2 Vses Vses NNPS A34005 293 3 of of IN A34005 293 4 the the DT A34005 293 5 PROJECTION PROJECTION NNP A34005 293 6 . . . A34005 294 1 Of of IN A34005 294 2 the the DT A34005 294 3 Almanack Almanack NNP A34005 294 4 . . . A34005 295 1 BEfore before IN A34005 295 2 the the DT A34005 295 3 Projection Projection NNP A34005 295 4 can can MD A34005 295 5 be be VB A34005 295 6 used use VBN A34005 295 7 , , , A34005 295 8 the the DT A34005 295 9 day day NN A34005 295 10 of of IN A34005 295 11 the the DT A34005 295 12 Moneth Moneth NNP A34005 295 13 , , , A34005 295 14 the the DT A34005 295 15 Suns Suns NNPS A34005 295 16 place place NN A34005 295 17 or or CC A34005 295 18 Declination declination NN A34005 295 19 must must MD A34005 295 20 be be VB A34005 295 21 known know VBN A34005 295 22 ; ; : A34005 295 23 but but CC A34005 295 24 these these DT A34005 295 25 are be VBP A34005 295 26 commonly commonly RB A34005 295 27 given give VBN A34005 295 28 by by IN A34005 295 29 the the DT A34005 295 30 knowledge knowledge NN A34005 295 31 thereof thereof RB A34005 295 32 : : : A34005 295 33 Now now RB A34005 295 34 this this DT A34005 295 35 Almanack almanack NN A34005 295 36 will will MD A34005 295 37 as as RB A34005 295 38 much much JJ A34005 295 39 help help NN A34005 295 40 to to IN A34005 295 41 the the DT A34005 295 42 obtaining obtain VBG A34005 295 43 hereof hereof NNP A34005 295 44 , , , A34005 295 45 as as IN A34005 295 46 any any DT A34005 295 47 other other JJ A34005 295 48 common common JJ A34005 295 49 Almanack almanack NN A34005 295 50 . . . A34005 296 1 It -PRON- PRP A34005 296 2 consists consist VBZ A34005 296 3 of of IN A34005 296 4 a a DT A34005 296 5 Rectangular Rectangular NNP A34005 296 6 Oblong Oblong NNP A34005 296 7 , , , A34005 296 8 or or CC A34005 296 9 long long JJ A34005 296 10 Square Square NNP A34005 296 11 divided divide VBD A34005 296 12 into into IN A34005 296 13 7 7 CD A34005 296 14 Colums Colums NNPS A34005 296 15 in in IN A34005 296 16 the the DT A34005 296 17 breadth breadth NN A34005 296 18 to to TO A34005 296 19 represent represent VB A34005 296 20 7 7 CD A34005 296 21 days day NNS A34005 296 22 of of IN A34005 296 23 the the DT A34005 296 24 week week NN A34005 296 25 , , , A34005 296 26 accounting account VBG A34005 296 27 the the DT A34005 296 28 Lords Lords NNPS A34005 296 29 day day NN A34005 296 30 first first RB A34005 296 31 ; ; : A34005 296 32 and and CC A34005 296 33 length length VB A34005 296 34 ways way NNS A34005 296 35 into into IN A34005 296 36 9 9 CD A34005 296 37 Columns Columns NNPS A34005 296 38 , , , A34005 296 39 the the DT A34005 296 40 two two CD A34005 296 41 uppermost uppermost NN A34005 296 42 represent represent VBP A34005 296 43 the the DT A34005 296 44 months month NNS A34005 296 45 of of IN A34005 296 46 the the DT A34005 296 47 year year NN A34005 296 48 , , , A34005 296 49 accounting account VBG A34005 296 50 March March NNP A34005 296 51 the the DT A34005 296 52 first first JJ A34005 296 53 , , , A34005 296 54 the the DT A34005 296 55 five five CD A34005 296 56 middlemost middlemost NN A34005 296 57 the the DT A34005 296 58 respective respective JJ A34005 296 59 days day NNS A34005 296 60 of of IN A34005 296 61 each each DT A34005 296 62 Month month NN A34005 296 63 , , , A34005 296 64 and and CC A34005 296 65 the the DT A34005 296 66 two two CD A34005 296 67 undermost undermost JJ A34005 296 68 some some DT A34005 296 69 certain certain JJ A34005 296 70 leap leap NN A34005 296 71 years year NNS A34005 296 72 , , , A34005 296 73 posited posit VBN A34005 296 74 in in IN A34005 296 75 such such JJ A34005 296 76 Columns Columns NNPS A34005 296 77 , , , A34005 296 78 as as IN A34005 296 79 that that DT A34005 296 80 thereby thereby RB A34005 296 81 may may MD A34005 296 82 be be VB A34005 296 83 known know VBN A34005 296 84 by by IN A34005 296 85 Inspection Inspection NNP A34005 296 86 , , , A34005 296 87 what what WDT A34005 296 88 day day NN A34005 296 89 of of IN A34005 296 90 the the DT A34005 296 91 Week Week NNP A34005 296 92 the the DT A34005 296 93 first first JJ A34005 296 94 of of IN A34005 296 95 March March NNP A34005 296 96 happened happen VBD A34005 296 97 upon upon IN A34005 296 98 in in IN A34005 296 99 the the DT A34005 296 100 said say VBN A34005 296 101 Leap Leap NNP A34005 296 102 years year NNS A34005 296 103 ; ; : A34005 296 104 the the DT A34005 296 105 contrivance contrivance NNP A34005 296 106 hereof hereof NNP A34005 296 107 owns own VBZ A34005 296 108 its -PRON- PRP$ A34005 296 109 original original NN A34005 296 110 from from IN A34005 296 111 my -PRON- PRP$ A34005 296 112 Worthy Worthy NNP A34005 296 113 Friend Friend NNP A34005 296 114 Mr. Mr. NNP A34005 296 115 Michael Michael NNP A34005 296 116 Darie Darie NNP A34005 296 117 , , , A34005 296 118 for for IN A34005 296 119 the the DT A34005 296 120 due due JJ A34005 296 121 placing placing NN A34005 296 122 of of IN A34005 296 123 the the DT A34005 296 124 Months month NNS A34005 296 125 over over IN A34005 296 126 the the DT A34005 296 127 Columns Columns NNPS A34005 296 128 of of IN A34005 296 129 days day NNS A34005 296 130 , , , A34005 296 131 take take VB A34005 296 132 the the DT A34005 296 133 following follow VBG A34005 296 134 Rule rule NN A34005 296 135 in in IN A34005 296 136 his -PRON- PRP$ A34005 296 137 own own JJ A34005 296 138 words word NNS A34005 296 139 . . . A34005 297 1 First first RB A34005 297 2 having have VBG A34005 297 3 March March NNP A34005 297 4 assign'd assign'd JJ A34005 297 5 to to TO A34005 297 6 lead lead VB A34005 297 7 the the DT A34005 297 8 round round NN A34005 297 9 , , , A34005 297 10 The the DT A34005 297 11 rest rest NN A34005 297 12 o o NN A34005 297 13 ' ' NN A34005 297 14 th th XX A34005 297 15 Months month NNS A34005 297 16 are be VBP A34005 297 17 easily easily RB A34005 297 18 after after IN A34005 297 19 found find VBN A34005 297 20 ; ; : A34005 297 21 If if IN A34005 297 22 that that IN A34005 297 23 you -PRON- PRP A34005 297 24 take take VBP A34005 297 25 the the DT A34005 297 26 complement complement NN A34005 297 27 in in IN A34005 297 28 days day NNS A34005 297 29 To to IN A34005 297 30 35 35 CD A34005 297 31 of of IN A34005 297 32 a a DT A34005 297 33 plac'd plac'd NNP A34005 297 34 Month Month NNP A34005 297 35 always always RB A34005 297 36 , , , A34005 297 37 And and CC A34005 297 38 count count VB A34005 297 39 it -PRON- PRP A34005 297 40 from from IN A34005 297 41 its -PRON- PRP$ A34005 297 42 place place NN A34005 297 43 with with IN A34005 297 44 due due JJ A34005 297 45 Progression Progression NNP A34005 297 46 It -PRON- PRP A34005 297 47 shews shew VBZ A34005 297 48 you -PRON- PRP A34005 297 49 where where WRB A34005 297 50 the the DT A34005 297 51 next next JJ A34005 297 52 Month month NN A34005 297 53 takes take VBZ A34005 297 54 possession possession NN A34005 297 55 . . . A34005 298 1 Thus thus RB A34005 298 2 placing place VBG A34005 298 3 the the DT A34005 298 4 Month Month NNP A34005 298 5 of of IN A34005 298 6 March March NNP A34005 298 7 first first RB A34005 298 8 , , , A34005 298 9 then then RB A34005 298 10 if if IN A34005 298 11 I -PRON- PRP A34005 298 12 would would MD A34005 298 13 place place VB A34005 298 14 April April NNP A34005 298 15 , , , A34005 298 16 or or CC A34005 298 17 the the DT A34005 298 18 second second JJ A34005 298 19 Month Month NNP A34005 298 20 , , , A34005 298 21 March March NNP A34005 298 22 having have VBG A34005 298 23 31 31 CD A34005 298 24 days day NNS A34005 298 25 , , , A34005 298 26 the the DT A34005 298 27 Complement Complement NNP A34005 298 28 thereof thereof RB A34005 298 29 to to IN A34005 298 30 35 35 CD A34005 298 31 is be VBZ A34005 298 32 4 4 CD A34005 298 33 then then RB A34005 298 34 counting count VBG A34005 298 35 four four CD A34005 298 36 Columns Columns NNPS A34005 298 37 from from IN A34005 298 38 the the DT A34005 298 39 place place NN A34005 298 40 of of IN A34005 298 41 March March NNP A34005 298 42 , , , A34005 298 43 it -PRON- PRP A34005 298 44 falls fall VBZ A34005 298 45 upon upon IN A34005 298 46 the the DT A34005 298 47 5 5 CD A34005 298 48 Column Column NNP A34005 298 49 , , , A34005 298 50 where where WRB A34005 298 51 the the DT A34005 298 52 figure figure NN A34005 298 53 2 2 CD A34005 298 54 is be VBZ A34005 298 55 placed place VBN A34005 298 56 for for IN A34005 298 57 the the DT A34005 298 58 2d 2d NNP A34005 298 59 Moneth Moneth NNP A34005 298 60 , , , A34005 298 61 then then RB A34005 298 62 April April NNP A34005 298 63 being be VBG A34005 298 64 placed place VBN A34005 298 65 ; ; : A34005 298 66 if if IN A34005 298 67 I -PRON- PRP A34005 298 68 would would MD A34005 298 69 place place VB A34005 298 70 May May MD A34005 298 71 I -PRON- PRP A34005 298 72 take take VB A34005 298 73 30 30 CD A34005 298 74 , , , A34005 298 75 the the DT A34005 298 76 number number NN A34005 298 77 of of IN A34005 298 78 days day NNS A34005 298 79 in in IN A34005 298 80 April April NNP A34005 298 81 , , , A34005 298 82 from from IN A34005 298 83 35 35 CD A34005 298 84 there there EX A34005 298 85 rests rest VBZ A34005 298 86 5 5 CD A34005 298 87 , , , A34005 298 88 and and CC A34005 298 89 counting count VBG A34005 298 90 5 5 CD A34005 298 91 Columns Columns NNPS A34005 298 92 from from IN A34005 298 93 the the DT A34005 298 94 place place NN A34005 298 95 of of IN A34005 298 96 April April NNP A34005 298 97 where where WRB A34005 298 98 it -PRON- PRP A34005 298 99 ends end VBZ A34005 298 100 , , , A34005 298 101 which which WDT A34005 298 102 is be VBZ A34005 298 103 in in IN A34005 298 104 the the DT A34005 298 105 3d 3d NNP A34005 298 106 Column Column NNP A34005 298 107 , , , A34005 298 108 the the DT A34005 298 109 figure figure NN A34005 298 110 3 3 CD A34005 298 111 is be VBZ A34005 298 112 placed place VBN A34005 298 113 for for IN A34005 298 114 the the DT A34005 298 115 3d 3d NNP A34005 298 116 Moneth Moneth NNP A34005 298 117 or or CC A34005 298 118 Moneth Moneth NNP A34005 298 119 of of IN A34005 298 120 May. May NNP A34005 299 1 The the DT A34005 299 2 next next JJ A34005 299 3 thing thing NN A34005 299 4 to to TO A34005 299 5 be be VB A34005 299 6 known know VBN A34005 299 7 is be VBZ A34005 299 8 on on IN A34005 299 9 what what WDT A34005 299 10 day day NN A34005 299 11 of of IN A34005 299 12 the the DT A34005 299 13 Week Week NNP A34005 299 14 the the DT A34005 299 15 first first JJ A34005 299 16 day day NN A34005 299 17 of of IN A34005 299 18 March March NNP A34005 299 19 falleth falleth NN A34005 299 20 upon upon IN A34005 299 21 , , , A34005 299 22 which which WDT A34005 299 23 is be VBZ A34005 299 24 continually continually RB A34005 299 25 to to TO A34005 299 26 be be VB A34005 299 27 remembred remembre VBN A34005 299 28 in in IN A34005 299 29 using use VBG A34005 299 30 the the DT A34005 299 31 Almanack Almanack NNP A34005 299 32 . . . A34005 300 1 This this DT A34005 300 2 for for IN A34005 300 3 some some DT A34005 300 4 Leap Leap NNP A34005 300 5 years year NNS A34005 300 6 to to TO A34005 300 7 come come VB A34005 300 8 , , , A34005 300 9 may may MD A34005 300 10 be be VB A34005 300 11 known know VBN A34005 300 12 by by IN A34005 300 13 counting count VBG A34005 300 14 in in IN A34005 300 15 what what WP A34005 300 16 Column Column NNP A34005 300 17 the the DT A34005 300 18 said say VBD A34005 300 19 Leap Leap NNP A34005 300 20 year year NN A34005 300 21 is be VBZ A34005 300 22 graved grave VBN A34005 300 23 , , , A34005 300 24 thus thus RB A34005 300 25 in in IN A34005 300 26 Anno Anno NNP A34005 300 27 1660 1660 CD A34005 300 28 , , , A34005 300 29 the the DT A34005 300 30 first first JJ A34005 300 31 of of IN A34005 300 32 March March NNP A34005 300 33 falls fall VBZ A34005 300 34 upon upon IN A34005 300 35 a a DT A34005 300 36 Thursday Thursday NNP A34005 300 37 , , , A34005 300 38 because because IN A34005 300 39 60 60 CD A34005 300 40 is be VBZ A34005 300 41 graved grave VBN A34005 300 42 in in IN A34005 300 43 the the DT A34005 300 44 5 5 CD A34005 300 45 Column column NN A34005 300 46 , , , A34005 300 47 that that IN A34005 300 48 being be VBG A34005 300 49 the the DT A34005 300 50 fift fift JJ A34005 300 51 day day NN A34005 300 52 of of IN A34005 300 53 the the DT A34005 300 54 Week week NN A34005 300 55 : : : A34005 300 56 But but CC A34005 300 57 for for IN A34005 300 58 a a DT A34005 300 59 general general JJ A34005 300 60 Rule rule NN A34005 300 61 take take VB A34005 300 62 it -PRON- PRP A34005 300 63 in in IN A34005 300 64 these these DT A34005 300 65 words word NNS A34005 300 66 . . . A34005 301 1 To to IN A34005 301 2 the the DT A34005 301 3 number number NN A34005 301 4 two two CD A34005 301 5 add add VB A34005 301 6 the the DT A34005 301 7 year year NN A34005 301 8 of of IN A34005 301 9 our -PRON- PRP$ A34005 301 10 Lord Lord NNP A34005 301 11 , , , A34005 301 12 and and CC A34005 301 13 a a DT A34005 301 14 fourth fourth JJ A34005 301 15 part part NN A34005 301 16 thereof thereof RB A34005 301 17 , , , A34005 301 18 neglecting neglect VBG A34005 301 19 the the DT A34005 301 20 odd odd JJ A34005 301 21 remainder remainder NN A34005 301 22 , , , A34005 301 23 when when WRB A34005 301 24 there there EX A34005 301 25 is be VBZ A34005 301 26 any any DT A34005 301 27 ; ; : A34005 301 28 the the DT A34005 301 29 Amount Amount NNP A34005 301 30 divide divide NN A34005 301 31 by by IN A34005 301 32 7 7 CD A34005 301 33 the the DT A34005 301 34 remainder remainder NN A34005 301 35 , , , A34005 301 36 when when WRB A34005 301 37 the the DT A34005 301 38 Division Division NNP A34005 301 39 is be VBZ A34005 301 40 finished finish VBN A34005 301 41 , , , A34005 301 42 shews shew VBZ A34005 301 43 the the DT A34005 301 44 number number NN A34005 301 45 of of IN A34005 301 46 Direction Direction NNP A34005 301 47 , , , A34005 301 48 or or CC A34005 301 49 day day NN A34005 301 50 of of IN A34005 301 51 the the DT A34005 301 52 week week NN A34005 301 53 , , , A34005 301 54 on on IN A34005 301 55 which which WDT A34005 301 56 the the DT A34005 301 57 first first JJ A34005 301 58 day day NN A34005 301 59 of of IN A34005 301 60 March March NNP A34005 301 61 falleth falleth NNP A34005 301 62 , , , A34005 301 63 accounting account VBG A34005 301 64 the the DT A34005 301 65 Lords Lords NNPS A34005 301 66 day day NN A34005 301 67 the the DT A34005 301 68 first first JJ A34005 301 69 ; ; : A34005 301 70 but but CC A34005 301 71 if if IN A34005 301 72 nothing nothing NN A34005 301 73 remain remain VBP A34005 301 74 , , , A34005 301 75 it -PRON- PRP A34005 301 76 falls fall VBZ A34005 301 77 on on IN A34005 301 78 a a DT A34005 301 79 Saturday Saturday NNP A34005 301 80 . . . A34005 302 1 2 2 CD A34005 302 2     _SP A34005 302 3 Example example NN A34005 302 4 for for IN A34005 302 5 the the DT A34005 302 6 year year NN A34005 302 7 1657 1657 CD A34005 302 8 The the DT A34005 302 9 even even RB A34005 302 10 fourth fourth JJ A34005 302 11 thereof thereof IN A34005 302 12 414 414 CD A34005 302 13     _SP A34005 302 14 2073 2073 CD A34005 302 15 ( ( -LRB- A34005 302 16 296 296 CD A34005 302 17 quotient quotient NN A34005 302 18 . . . A34005 303 1 7 7 LS A34005 303 2 ) ) -RRB- A34005 303 3 1 1 CD A34005 303 4 remaining remain VBG A34005 303 5 . . . A34005 304 1 By by IN A34005 304 2 this this DT A34005 304 3 Rule rule NN A34005 304 4 there there EX A34005 304 5 will will MD A34005 304 6 be be VB A34005 304 7 found find VBN A34005 304 8 to to TO A34005 304 9 remain remain VB A34005 304 10 one one CD A34005 304 11 for for IN A34005 304 12 the the DT A34005 304 13 year year NN A34005 304 14 of of IN A34005 304 15 our -PRON- PRP$ A34005 304 16 Lord Lord NNP A34005 304 17 1657 1657 CD A34005 304 18 whence whence IN A34005 304 19 it -PRON- PRP A34005 304 20 follows follow VBZ A34005 304 21 that that IN A34005 304 22 the the DT A34005 304 23 first first JJ A34005 304 24 day day NN A34005 304 25 of of IN A34005 304 26 March March NNP A34005 304 27 fell fall VBD A34005 304 28 on on IN A34005 304 29 the the DT A34005 304 30 first first JJ A34005 304 31 day day NN A34005 304 32 of of IN A34005 304 33 the the DT A34005 304 34 Week Week NNP A34005 304 35 , , , A34005 304 36 alias alias NNP A34005 304 37 , , , A34005 304 38 the the DT A34005 304 39 Lords Lords NNPS A34005 304 40 day day NN A34005 304 41 in in IN A34005 304 42 that that DT A34005 304 43 year year NN A34005 304 44 ; ; : A34005 304 45 so so CC A34005 304 46 in in IN A34005 304 47 Anno Anno NNP A34005 304 48 1658 1658 CD A34005 304 49 , , , A34005 304 50 there there EX A34005 304 51 remains remain VBZ A34005 304 52 2 2 CD A34005 304 53 for for IN A34005 304 54 Munday Munday NNP A34005 304 55 : : : A34005 304 56 in in IN A34005 304 57 1659 1659 CD A34005 304 58 , , , A34005 304 59 rests rest VBZ A34005 304 60 3 3 CD A34005 304 61 for for IN A34005 304 62 Tuesday Tuesday NNP A34005 304 63 ; ; : A34005 304 64 in in IN A34005 304 65 1660 1660 CD A34005 304 66 rests rest VBZ A34005 304 67 5 5 CD A34005 304 68 for for IN A34005 304 69 Thursday Thursday NNP A34005 304 70 ; ; : A34005 304 71 so so CC A34005 304 72 that that IN A34005 304 73 hence hence RB A34005 304 74 it -PRON- PRP A34005 304 75 may may MD A34005 304 76 be be VB A34005 304 77 observed observe VBN A34005 304 78 , , , A34005 304 79 that that IN A34005 304 80 every every DT A34005 304 81 4 4 CD A34005 304 82 years year NNS A34005 304 83 the the DT A34005 304 84 first first JJ A34005 304 85 of of IN A34005 304 86 March March NNP A34005 304 87 proceeds proceed VBZ A34005 304 88 5 5 CD A34005 304 89 days day NNS A34005 304 90 : : : A34005 304 91 Upon upon IN A34005 304 92 which which WDT A34005 304 93 supposition supposition NN A34005 304 94 the the DT A34005 304 95 former former JJ A34005 304 96 Rule Rule NNP A34005 304 97 is be VBZ A34005 304 98 built build VBN A34005 304 99 ; ; : A34005 304 100 say say VB A34005 304 101 then then RB A34005 304 102 As as IN A34005 304 103 4 4 CD A34005 304 104 to to IN A34005 304 105 5 5 CD A34005 304 106 , , , A34005 304 107 or or CC A34005 304 108 as as IN A34005 304 109 1 1 CD A34005 304 110 to to IN A34005 304 111 1¼ 1¼ CD A34005 304 112 so so RB A34005 304 113 is be VBZ A34005 304 114 the the DT A34005 304 115 year year NN A34005 304 116 of of IN A34005 304 117 the the DT A34005 304 118 Lord Lord NNP A34005 304 119 propounded propound VBD A34005 304 120 , , , A34005 304 121 to to IN A34005 304 122 the the DT A34005 304 123 number number NN A34005 304 124 of of IN A34005 304 125 days day NNS A34005 304 126 , , , A34005 304 127 the the DT A34005 304 128 first first JJ A34005 304 129 of of IN A34005 304 130 March March NNP A34005 304 131 hath hath NNP A34005 304 132 proceeded proceed VBD A34005 304 133 in in IN A34005 304 134 all all DT A34005 304 135 that that DT A34005 304 136 Tract Tract NNP A34005 304 137 , , , A34005 304 138 caused cause VBN A34005 304 139 by by IN A34005 304 140 the the DT A34005 304 141 odd odd JJ A34005 304 142 day day NN A34005 304 143 in in IN A34005 304 144 each each DT A34005 304 145 year year NN A34005 304 146 , , , A34005 304 147 and and CC A34005 304 148 the the DT A34005 304 149 Access access NN A34005 304 150 of of IN A34005 304 151 the the DT A34005 304 152 days day NNS A34005 304 153 for for IN A34005 304 154 the the DT A34005 304 155 Leap Leap NNP A34005 304 156 years year NNS A34005 304 157 ; ; : A34005 304 158 this this DT A34005 304 159 number number NN A34005 304 160 divided divide VBN A34005 304 161 by by IN A34005 304 162 7 7 CD A34005 304 163 , , , A34005 304 164 the the DT A34005 304 165 remainder remainder NN A34005 304 166 shews shew VBZ A34005 304 167 the the DT A34005 304 168 fractionate fractionate JJ A34005 304 169 part part NN A34005 304 170 of of IN A34005 304 171 a a DT A34005 304 172 Week week NN A34005 304 173 above above IN A34005 304 174 whole whole JJ A34005 304 175 ones one NNS A34005 304 176 , , , A34005 304 177 which which WDT A34005 304 178 the the DT A34005 304 179 said say VBD A34005 304 180 day day NN A34005 304 181 hath hath NNP A34005 304 182 proceeded proceed VBD A34005 304 183 , , , A34005 304 184 which which WDT A34005 304 185 wil wil VBP A34005 304 186 not not RB A34005 304 187 agree agree VB A34005 304 188 with with IN A34005 304 189 the the DT A34005 304 190 day day NN A34005 304 191 of of IN A34005 304 192 the the DT A34005 304 193 Week Week NNP A34005 304 194 the the DT A34005 304 195 first first JJ A34005 304 196 of of IN A34005 304 197 March March NNP A34005 304 198 falls fall VBZ A34005 304 199 upon upon IN A34005 304 200 , , , A34005 304 201 according accord VBG A34005 304 202 to to IN A34005 304 203 common common JJ A34005 304 204 tradition tradition NN A34005 304 205 , , , A34005 304 206 unless unless IN A34005 304 207 the the DT A34005 304 208 number number NN A34005 304 209 two two CD A34005 304 210 be be VB A34005 304 211 added add VBN A34005 304 212 thereto thereto NN A34005 304 213 , , , A34005 304 214 which which WDT A34005 304 215 argues argue VBZ A34005 304 216 that that IN A34005 304 217 the the DT A34005 304 218 first first JJ A34005 304 219 of of IN A34005 304 220 March March NNP A34005 304 221 , , , A34005 304 222 as as IN A34005 304 223 we -PRON- PRP A34005 304 224 now now RB A34005 304 225 account account VBP A34005 304 226 the the DT A34005 304 227 days day NNS A34005 304 228 of of IN A34005 304 229 the the DT A34005 304 230 week week NN A34005 304 231 fell fall VBD A34005 304 232 upon upon IN A34005 304 233 Munday Munday NNP A34005 304 234 , , , A34005 304 235 or or CC A34005 304 236 the the DT A34005 304 237 second second JJ A34005 304 238 day day NN A34005 304 239 of of IN A34005 304 240 the the DT A34005 304 241 week week NN A34005 304 242 in in IN A34005 304 243 the the DT A34005 304 244 year year NN A34005 304 245 of of IN A34005 304 246 our -PRON- PRP$ A34005 304 247 Lords Lords NNP A34005 304 248 Nativity Nativity NNP A34005 304 249 : : : A34005 304 250 This this DT A34005 304 251 is be VBZ A34005 304 252 only only RB A34005 304 253 for for IN A34005 304 254 Illustration illustration NN A34005 304 255 of of IN A34005 304 256 the the DT A34005 304 257 former former JJ A34005 304 258 Rule rule NN A34005 304 259 , , , A34005 304 260 being be VBG A34005 304 261 to to TO A34005 304 262 shew shew VB A34005 304 263 that that IN A34005 304 264 the the DT A34005 304 265 adding adding NN A34005 304 266 of of IN A34005 304 267 the the DT A34005 304 268 even even RB A34005 304 269 fourth fourth JJ A34005 304 270 part part NN A34005 304 271 of of IN A34005 304 272 the the DT A34005 304 273 year year NN A34005 304 274 of of IN A34005 304 275 our -PRON- PRP$ A34005 304 276 Lord Lord NNP A34005 304 277 thereto thereto NNP A34005 304 278 , , , A34005 304 279 works work VBZ A34005 304 280 the the DT A34005 304 281 proportion proportion NN A34005 304 282 of of IN A34005 304 283 4 4 CD A34005 304 284 to to TO A34005 304 285 5 5 CD A34005 304 286 . . . A34005 305 1 The the DT A34005 305 2 Vse vse NN A34005 305 3 of of IN A34005 305 4 this this DT A34005 305 5 Almanack Almanack NNP A34005 305 6 is be VBZ A34005 305 7 to to TO A34005 305 8 know know VB A34005 305 9 for for IN A34005 305 10 ever ever RB A34005 305 11 on on IN A34005 305 12 what what WDT A34005 305 13 day day NN A34005 305 14 of of IN A34005 305 15 the the DT A34005 305 16 Week Week NNP A34005 305 17 any any DT A34005 305 18 day day NN A34005 305 19 of of IN A34005 305 20 the the DT A34005 305 21 Month Month NNP A34005 305 22 falls fall VBZ A34005 305 23 upon upon IN A34005 305 24 . . . A34005 306 1 Remembring remembre VBG A34005 306 2 on on IN A34005 306 3 what what WDT A34005 306 4 day day NN A34005 306 5 of of IN A34005 306 6 the the DT A34005 306 7 Week Week NNP A34005 306 8 the the DT A34005 306 9 first first JJ A34005 306 10 day day NN A34005 306 11 of of IN A34005 306 12 March March NNP A34005 306 13 fell fall VBD A34005 306 14 upon upon RB A34005 306 15 in in IN A34005 306 16 the the DT A34005 306 17 year year NN A34005 306 18 propounded propound VBN A34005 306 19 ( ( -LRB- A34005 306 20 which which WDT A34005 306 21 doth doth NNP A34005 306 22 then then RB A34005 306 23 begin begin VBP A34005 306 24 in in IN A34005 306 25 the the DT A34005 306 26 use use NN A34005 306 27 of of IN A34005 306 28 this this DT A34005 306 29 Almanack Almanack NNP A34005 306 30 , , , A34005 306 31 and and CC A34005 306 32 not not RB A34005 306 33 sooner sooner RB A34005 306 34 or or CC A34005 306 35 later later RB A34005 306 36 , , , A34005 306 37 as as IN A34005 306 38 upon upon IN A34005 306 39 New New NNP A34005 306 40 - - HYPH A34005 306 41 years year NNS A34005 306 42 day day NN A34005 306 43 , , , A34005 306 44 or or CC A34005 306 45 Quarter Quarter NNP A34005 306 46 day day NN A34005 306 47 ) ) -RRB- A34005 306 48 all all PDT A34005 306 49 the the DT A34005 306 50 figures figure NNS A34005 306 51 representing represent VBG A34005 306 52 the the DT A34005 306 53 days day NNS A34005 306 54 of of IN A34005 306 55 the the DT A34005 306 56 Month Month NNP A34005 306 57 do do VBP A34005 306 58 also also RB A34005 306 59 represent represent VB A34005 306 60 the the DT A34005 306 61 same same JJ A34005 306 62 day day NN A34005 306 63 of of IN A34005 306 64 the the DT A34005 306 65 week week NN A34005 306 66 in in IN A34005 306 67 the the DT A34005 306 68 respective respective JJ A34005 306 69 Months month NNS A34005 306 70 under under IN A34005 306 71 which which WDT A34005 306 72 they -PRON- PRP A34005 306 73 stand stand VBP A34005 306 74 ; ; : A34005 306 75 and and CC A34005 306 76 the the DT A34005 306 77 converse converse NN A34005 306 78 , , , A34005 306 79 the the DT A34005 306 80 Moneth Moneth NNP A34005 306 81 being be VBG A34005 306 82 assigned assign VBN A34005 306 83 , , , A34005 306 84 all all PDT A34005 306 85 the the DT A34005 306 86 figures figure NNS A34005 306 87 that that WDT A34005 306 88 stand stand VBP A34005 306 89 as as IN A34005 306 90 days day NNS A34005 306 91 under under IN A34005 306 92 it -PRON- PRP A34005 306 93 , , , A34005 306 94 inform inform VB A34005 306 95 you -PRON- PRP A34005 306 96 what what WP A34005 306 97 days day NNS A34005 306 98 of of IN A34005 306 99 the the DT A34005 306 100 said say VBN A34005 306 101 Month Month NNP A34005 306 102 the the DT A34005 306 103 Week Week NNP A34005 306 104 day day NN A34005 306 105 shall shall MD A34005 306 106 be be VB A34005 306 107 the the DT A34005 306 108 same same JJ A34005 306 109 , , , A34005 306 110 as as IN A34005 306 111 it -PRON- PRP A34005 306 112 was be VBD A34005 306 113 upon upon IN A34005 306 114 the the DT A34005 306 115 first first JJ A34005 306 116 day day NN A34005 306 117 of of IN A34005 306 118 March March NNP A34005 306 119 , , , A34005 306 120 and and CC A34005 306 121 then then RB A34005 306 122 by by IN A34005 306 123 a a DT A34005 306 124 due due JJ A34005 306 125 Progression Progression NNP A34005 306 126 it -PRON- PRP A34005 306 127 will will MD A34005 306 128 be be VB A34005 306 129 easie easie VBN A34005 306 130 to to TO A34005 306 131 find find VB A34005 306 132 upon upon IN A34005 306 133 what what WP A34005 306 134 day day NN A34005 306 135 of of IN A34005 306 136 the the DT A34005 306 137 Moneth Moneth NNP A34005 306 138 any any DT A34005 306 139 day day NN A34005 306 140 of of IN A34005 306 141 the the DT A34005 306 142 week week NN A34005 306 143 falleth falleth NN A34005 306 144 , , , A34005 306 145 as as RB A34005 306 146 well well RB A34005 306 147 as as IN A34005 306 148 by by IN A34005 306 149 a a DT A34005 306 150 common common JJ A34005 306 151 Almanack almanack NN A34005 306 152 , , , A34005 306 153 without without IN A34005 306 154 the the DT A34005 306 155 trouble trouble NN A34005 306 156 of of IN A34005 306 157 always always RB A34005 306 158 one one CD A34005 306 159 , , , A34005 306 160 and and CC A34005 306 161 sometimes sometimes RB A34005 306 162 two two CD A34005 306 163 Dominical Dominical NNP A34005 306 164 Letters Letters NNPS A34005 306 165 quite quite RB A34005 306 166 shunned shun VBN A34005 306 167 in in IN A34005 306 168 this this DT A34005 306 169 Almanack Almanack NNP A34005 306 170 , , , A34005 306 171 by by IN A34005 306 172 beginning begin VBG A34005 306 173 the the DT A34005 306 174 year year NN A34005 306 175 the the DT A34005 306 176 first first JJ A34005 306 177 of of IN A34005 306 178 March March NNP A34005 306 179 , , , A34005 306 180 and and CC A34005 306 181 so so RB A34005 306 182 the the DT A34005 306 183 odd odd JJ A34005 306 184 day day NN A34005 306 185 for for IN A34005 306 186 Leap Leap NNP A34005 306 187 year year NN A34005 306 188 is be VBZ A34005 306 189 introduced introduce VBN A34005 306 190 between between IN A34005 306 191 the the DT A34005 306 192 end end NN A34005 306 193 of of IN A34005 306 194 the the DT A34005 306 195 old old JJ A34005 306 196 , , , A34005 306 197 and and CC A34005 306 198 the the DT A34005 306 199 beginning beginning NN A34005 306 200 of of IN A34005 306 201 the the DT A34005 306 202 new new JJ A34005 306 203 - - HYPH A34005 306 204 year year NN A34005 306 205 . . . A34005 307 1 Example example NN A34005 307 2 . . . A34005 308 1 In in IN A34005 308 2 Anno Anno NNP A34005 308 3 1657 1657 CD A34005 308 4 . . . A34005 308 5 looking look VBG A34005 308 6 for for IN A34005 308 7 the the DT A34005 308 8 figure figure NN A34005 308 9 10 10 CD A34005 308 10 in in IN A34005 308 11 the the DT A34005 308 12 Column Column NNP A34005 308 13 for for IN A34005 308 14 Months month NNS A34005 308 15 , , , A34005 308 16 for for IN A34005 308 17 the the DT A34005 308 18 Month Month NNP A34005 308 19 of of IN A34005 308 20 December December NNP A34005 308 21 ; ; : A34005 308 22 under under IN A34005 308 23 it -PRON- PRP A34005 308 24 I -PRON- PRP A34005 308 25 find find VBP A34005 308 26 6 6 CD A34005 308 27 , , , A34005 308 28 13 13 CD A34005 308 29 , , , A34005 308 30 20 20 CD A34005 308 31 , , , A34005 308 32 27 27 CD A34005 308 33 , , , A34005 308 34 now now RB A34005 308 35 the the DT A34005 308 36 first first JJ A34005 308 37 of of IN A34005 308 38 March March NNP A34005 308 39 being be VBG A34005 308 40 the the DT A34005 308 41 Lords Lords NNPS A34005 308 42 day day NN A34005 308 43 , , , A34005 308 44 I -PRON- PRP A34005 308 45 conclude conclude VBP A34005 308 46 also also RB A34005 308 47 that that IN A34005 308 48 these these DT A34005 308 49 respective respective JJ A34005 308 50 days day NNS A34005 308 51 in in IN A34005 308 52 December December NNP A34005 308 53 , , , A34005 308 54 were be VBD A34005 308 55 likewise likewise RB A34005 308 56 on on IN A34005 308 57 the the DT A34005 308 58 Lords Lords NNP A34005 308 59 day day NN A34005 308 60 ; ; : A34005 308 61 and and CC A34005 308 62 from from IN A34005 308 63 hence hence RB A34005 308 64 collect collect JJ A34005 308 65 , , , A34005 308 66 that that IN A34005 308 67 Christmas Christmas NNP A34005 308 68 day day NN A34005 308 69 , , , A34005 308 70 which which WDT A34005 308 71 is be VBZ A34005 308 72 always always RB A34005 308 73 the the DT A34005 308 74 25 25 CD A34005 308 75 of of IN A34005 308 76 that that DT A34005 308 77 Month Month NNP A34005 308 78 , , , A34005 308 79 happened happen VBD A34005 308 80 on on IN A34005 308 81 a a DT A34005 308 82 Friday Friday NNP A34005 308 83 . . . A34005 309 1 Vses vse NNS A34005 309 2 of of IN A34005 309 3 the the DT A34005 309 4 Projection Projection NNP A34005 309 5 . . . A34005 310 1 THis this DT A34005 310 2 Projection projection NN A34005 310 3 is be VBZ A34005 310 4 no no DT A34005 310 5 other other JJ A34005 310 6 then then RB A34005 310 7 a a DT A34005 310 8 fourth fourth JJ A34005 310 9 part part NN A34005 310 10 of of IN A34005 310 11 Stoflers Stoflers NNPS A34005 310 12 particular particular JJ A34005 310 13 Astrolabe Astrolabe NNP A34005 310 14 , , , A34005 310 15 fitted fit VBN A34005 310 16 for for IN A34005 310 17 the the DT A34005 310 18 Latitude Latitude NNP A34005 310 19 of of IN A34005 310 20 London London NNP A34005 310 21 inverted invert VBD A34005 310 22 , , , A34005 310 23 that that RB A34005 310 24 is is RB A34005 310 25 , , , A34005 310 26 the the DT A34005 310 27 Summer Summer NNP A34005 310 28 Tropick Tropick NNP A34005 310 29 and and CC A34005 310 30 Altitudes Altitudes NNPS A34005 310 31 , , , A34005 310 32 & & CC A34005 310 33 c. c. NNP A34005 310 34 turned turn VBD A34005 310 35 downwards downwards RB A34005 310 36 towards towards IN A34005 310 37 the the DT A34005 310 38 Limb Limb NNP A34005 310 39 , , , A34005 310 40 whereas whereas IN A34005 310 41 in in IN A34005 310 42 his -PRON- PRP$ A34005 310 43 Astrolabe Astrolabe NNP A34005 310 44 they -PRON- PRP A34005 310 45 were be VBD A34005 310 46 placed place VBN A34005 310 47 upwards upwards RB A34005 310 48 , , , A34005 310 49 towards towards IN A34005 310 50 the the DT A34005 310 51 Center Center NNP A34005 310 52 ; ; : A34005 310 53 thus thus RB A34005 310 54 the the DT A34005 310 55 Quadrant Quadrant NNP A34005 310 56 thereof thereof RB A34005 310 57 made make VBN A34005 310 58 , , , A34005 310 59 is be VBZ A34005 310 60 rendred rendre VBN A34005 310 61 most most RBS A34005 310 62 useful useful JJ A34005 310 63 and and CC A34005 310 64 accurate accurate JJ A34005 310 65 when when WRB A34005 310 66 there there EX A34005 310 67 is be VBZ A34005 310 68 most most JJS A34005 310 69 occasion occasion NN A34005 310 70 for for IN A34005 310 71 it -PRON- PRP A34005 310 72 ; ; : A34005 310 73 before before IN A34005 310 74 the the DT A34005 310 75 projection projection NN A34005 310 76 can can MD A34005 310 77 be be VB A34005 310 78 used use VBN A34005 310 79 , , , A34005 310 80 the the DT A34005 310 81 Bead Bead NNP A34005 310 82 must must MD A34005 310 83 be be VB A34005 310 84 rectified rectified JJ A34005 310 85 , , , A34005 310 86 and and CC A34005 310 87 because because IN A34005 310 88 the the DT A34005 310 89 Thread Thread NNP A34005 310 90 and and CC A34005 310 91 Bead Bead NNP A34005 310 92 may may MD A34005 310 93 stretch stretch VB A34005 310 94 , , , A34005 310 95 there there EX A34005 310 96 may may MD A34005 310 97 be be VB A34005 310 98 two two CD A34005 310 99 Beads Beads NNPS A34005 310 100 , , , A34005 310 101 the the DT A34005 310 102 one one CD A34005 310 103 set set NN A34005 310 104 to to IN A34005 310 105 some some DT A34005 310 106 Circle Circle NNP A34005 310 107 concentrick concentrick NN A34005 310 108 to to IN A34005 310 109 the the DT A34005 310 110 Limb Limb NNP A34005 310 111 , , , A34005 310 112 to to TO A34005 310 113 keep keep VB A34005 310 114 the the DT A34005 310 115 other other JJ A34005 310 116 at at IN A34005 310 117 a a DT A34005 310 118 certainty certainty NN A34005 310 119 in in IN A34005 310 120 stretching stretching NN A34005 310 121 , , , A34005 310 122 and and CC A34005 310 123 the the DT A34005 310 124 other other JJ A34005 310 125 to to TO A34005 310 126 be be VB A34005 310 127 rectified rectify VBN A34005 310 128 for for IN A34005 310 129 use use NN A34005 310 130 . . . A34005 311 1 To to TO A34005 311 2 rectifie rectifie VB A34005 311 3 the the DT A34005 311 4 Bead Bead NNP A34005 311 5 . . . A34005 312 1 LAy LAy NNP A34005 312 2 the the DT A34005 312 3 Thread thread NN A34005 312 4 over over IN A34005 312 5 the the DT A34005 312 6 day day NN A34005 312 7 of of IN A34005 312 8 the the DT A34005 312 9 Month Month NNP A34005 312 10 in in IN A34005 312 11 its -PRON- PRP$ A34005 312 12 proper proper JJ A34005 312 13 Circle Circle NNP A34005 312 14 , , , A34005 312 15 and and CC A34005 312 16 if if IN A34005 312 17 the the DT A34005 312 18 season season NN A34005 312 19 wherein wherein WRB A34005 312 20 the the DT A34005 312 21 Quadrant Quadrant NNP A34005 312 22 is be VBZ A34005 312 23 to to TO A34005 312 24 be be VB A34005 312 25 used use VBN A34005 312 26 , , , A34005 312 27 be be VB A34005 312 28 in in IN A34005 312 29 the the DT A34005 312 30 Winter Winter NNP A34005 312 31 half half NN A34005 312 32 year year NN A34005 312 33 , , , A34005 312 34 set set VBD A34005 312 35 the the DT A34005 312 36 Bead Bead NNP A34005 312 37 by by IN A34005 312 38 removing remove VBG A34005 312 39 it -PRON- PRP A34005 312 40 to to IN A34005 312 41 the the DT A34005 312 42 Winter Winter NNP A34005 312 43 Ecliptick Ecliptick NNP A34005 312 44 ; ; : A34005 312 45 but but CC A34005 312 46 in in IN A34005 312 47 Summer summer NN A34005 312 48 let let VBD A34005 312 49 it -PRON- PRP A34005 312 50 be be VB A34005 312 51 set set VBN A34005 312 52 to to IN A34005 312 53 the the DT A34005 312 54 lower low JJR A34005 312 55 or or CC A34005 312 56 Summer Summer NNP A34005 312 57 Ecliptick Ecliptick NNP A34005 312 58 , , , A34005 312 59 and and CC A34005 312 60 then then RB A34005 312 61 it -PRON- PRP A34005 312 62 is be VBZ A34005 312 63 fitted fit VBN A34005 312 64 for for IN A34005 312 65 use use NN A34005 312 66 , , , A34005 312 67 One one CD A34005 312 68 Caution caution NN A34005 312 69 in in IN A34005 312 70 rectifying rectify VBG A34005 312 71 the the DT A34005 312 72 Bead Bead NNP A34005 312 73 is be VBZ A34005 312 74 to to TO A34005 312 75 be be VB A34005 312 76 given give VBN A34005 312 77 ; ; : A34005 312 78 and and CC A34005 312 79 that that DT A34005 312 80 is be VBZ A34005 312 81 in in IN A34005 312 82 Summer summer NN A34005 312 83 time time NN A34005 312 84 if if IN A34005 312 85 it -PRON- PRP A34005 312 86 be be VB A34005 312 87 required require VBN A34005 312 88 to to TO A34005 312 89 find find VB A34005 312 90 the the DT A34005 312 91 hour hour NN A34005 312 92 and and CC A34005 312 93 Azimuth Azimuth NNP A34005 312 94 of of IN A34005 312 95 the the DT A34005 312 96 Sun Sun NNP A34005 312 97 by by IN A34005 312 98 the the DT A34005 312 99 Projection Projection NNP A34005 312 100 , , , A34005 312 101 before before IN A34005 312 102 the the DT A34005 312 103 hour hour NN A34005 312 104 of of IN A34005 312 105 6 6 CD A34005 312 106 in in IN A34005 312 107 the the DT A34005 312 108 morning morning NN A34005 312 109 , , , A34005 312 110 or or CC A34005 312 111 after after IN A34005 312 112 it -PRON- PRP A34005 312 113 in in IN A34005 312 114 the the DT A34005 312 115 evening evening NN A34005 312 116 , , , A34005 312 117 or or CC A34005 312 118 which which WDT A34005 312 119 is be VBZ A34005 312 120 all all DT A34005 312 121 one one CD A34005 312 122 , , , A34005 312 123 when when WRB A34005 312 124 the the DT A34005 312 125 Sun Sun NNP A34005 312 126 hath hath NN A34005 312 127 less less JJR A34005 312 128 Altitude altitude NN A34005 312 129 then then RB A34005 312 130 he -PRON- PRP A34005 312 131 hath hath VBP A34005 312 132 at at IN A34005 312 133 6 6 CD A34005 312 134 of of IN A34005 312 135 the the DT A34005 312 136 clock clock NN A34005 312 137 ; ; : A34005 312 138 then then RB A34005 312 139 must must MD A34005 312 140 the the DT A34005 312 141 Bead Bead NNP A34005 312 142 be be VB A34005 312 143 rectified rectified JJ A34005 312 144 to to IN A34005 312 145 the the DT A34005 312 146 Winter Winter NNP A34005 312 147 Ecliptick Ecliptick NNP A34005 312 148 , , , A34005 312 149 and and CC A34005 312 150 the the DT A34005 312 151 Parralels Parralels NNPS A34005 312 152 above above IN A34005 312 153 the the DT A34005 312 154 Horizon Horizon NNP A34005 312 155 in in IN A34005 312 156 the the DT A34005 312 157 Reverted Reverted NNP A34005 312 158 Tail Tail NNP A34005 312 159 , , , A34005 312 160 are be VBP A34005 312 161 those those DT A34005 312 162 which which WDT A34005 312 163 will will MD A34005 312 164 come come VB A34005 312 165 in in IN A34005 312 166 vse vse NN A34005 312 167 . . . A34005 313 1 To to TO A34005 313 2 find find VB A34005 313 3 what what WP A34005 313 4 Altitude altitude NN A34005 313 5 the the DT A34005 313 6 Sun Sun NNP A34005 313 7 shall shall MD A34005 313 8 have have VB A34005 313 9 at at IN A34005 313 10 6 6 CD A34005 313 11 of of IN A34005 313 12 the the DT A34005 313 13 clock clock NN A34005 313 14 in in IN A34005 313 15 the the DT A34005 313 16 Summer Summer NNP A34005 313 17 half half NN A34005 313 18 year year NN A34005 313 19 . . . A34005 314 1 This this DT A34005 314 2 will will MD A34005 314 3 be be VB A34005 314 4 easily easily RB A34005 314 5 performed perform VBN A34005 314 6 by by IN A34005 314 7 bringing bring VBG A34005 314 8 the the DT A34005 314 9 Bead Bead NNP A34005 314 10 that that WDT A34005 314 11 is be VBZ A34005 314 12 rectified rectified JJ A34005 314 13 to to IN A34005 314 14 the the DT A34005 314 15 Summer Summer NNP A34005 314 16 Ecliptick Ecliptick NNP A34005 314 17 to to IN A34005 314 18 the the DT A34005 314 19 left left JJ A34005 314 20 edge edge NN A34005 314 21 of of IN A34005 314 22 the the DT A34005 314 23 Quadrant Quadrant NNP A34005 314 24 , , , A34005 314 25 and and CC A34005 314 26 - - : A34005 314 27 there there RB A34005 314 28 among among IN A34005 314 29 the the DT A34005 314 30 Paralels Paralels NNPS A34005 314 31 of of IN A34005 314 32 Altitude Altitude NNP A34005 314 33 it -PRON- PRP A34005 314 34 shews shew VBZ A34005 314 35 what what WP A34005 314 36 Altitude altitude NN A34005 314 37 the the DT A34005 314 38 Sun Sun NNP A34005 314 39 shall shall MD A34005 314 40 have have VB A34005 314 41 at at IN A34005 314 42 6 6 CD A34005 314 43 of of IN A34005 314 44 the the DT A34005 314 45 clock clock NN A34005 314 46 : : : A34005 314 47 It -PRON- PRP A34005 314 48 also also RB A34005 314 49 among among IN A34005 314 50 the the DT A34005 314 51 Azimuths Azimuths NNP A34005 314 52 shews shew VBZ A34005 314 53 what what WP A34005 314 54 Azimuth Azimuth NNP A34005 314 55 the the DT A34005 314 56 Sun Sun NNP A34005 314 57 shall shall MD A34005 314 58 have have VB A34005 314 59 at at IN A34005 314 60 the the DT A34005 314 61 hour hour NN A34005 314 62 of of IN A34005 314 63 6 6 CD A34005 314 64 . . . A34005 315 1 Example example NN A34005 315 2 , , , A34005 315 3 So so RB A34005 315 4 when when WRB A34005 315 5 the the DT A34005 315 6 Sun Sun NNP A34005 315 7 hath hath NNP A34005 315 8 17 17 CD A34005 315 9 degrees degree NNS A34005 315 10 of of IN A34005 315 11 North North NNP A34005 315 12 Declination Declination NNP A34005 315 13 , , , A34005 315 14 as as IN A34005 315 15 about about IN A34005 315 16 the the DT A34005 315 17 27 27 CD A34005 315 18 of of IN A34005 315 19 April April NNP A34005 315 20 , , , A34005 315 21 his -PRON- PRP$ A34005 315 22 Altitude altitude NN A34005 315 23 at at IN A34005 315 24 the the DT A34005 315 25 hour hour NN A34005 315 26 of of IN A34005 315 27 6 6 CD A34005 315 28 will will MD A34005 315 29 be be VB A34005 315 30 found find VBN A34005 315 31 to to TO A34005 315 32 be be VB A34005 315 33 13d 13d CD A34005 315 34 14 14 CD A34005 315 35 m m NN A34005 315 36 and and CC A34005 315 37 his -PRON- PRP$ A34005 315 38 Azimuth azimuth NN A34005 315 39 from from IN A34005 315 40 the the DT A34005 315 41 Meridian Meridian NNP A34005 315 42 79d 79d CD A34005 315 43 14 14 CD A34005 315 44 m m CD A34005 315 45 whence whence NN A34005 315 46 I -PRON- PRP A34005 315 47 may may MD A34005 315 48 conclude conclude VB A34005 315 49 if if IN A34005 315 50 his -PRON- PRP$ A34005 315 51 observed observed JJ A34005 315 52 Altitude altitude NN A34005 315 53 be be VBP A34005 315 54 less less JJR A34005 315 55 upon upon IN A34005 315 56 the the DT A34005 315 57 same same JJ A34005 315 58 day day NN A34005 315 59 , , , A34005 315 60 and and CC A34005 315 61 the the DT A34005 315 62 Hour Hour NNP A34005 315 63 and and CC A34005 315 64 Azimuth Azimuth NNP A34005 315 65 sought seek VBD A34005 315 66 , , , A34005 315 67 the the DT A34005 315 68 Bead Bead NNP A34005 315 69 must must MD A34005 315 70 be be VB A34005 315 71 set set VBN A34005 315 72 to to IN A34005 315 73 the the DT A34005 315 74 Winter Winter NNP A34005 315 75 Ecliptick Ecliptick NNP A34005 315 76 , , , A34005 315 77 and and CC A34005 315 78 the the DT A34005 315 79 Operation operation NN A34005 315 80 performed perform VBN A34005 315 81 in in IN A34005 315 82 the the DT A34005 315 83 reverted reverted JJ A34005 315 84 Tail Tail NNP A34005 315 85 . . . A34005 316 1 Here here RB A34005 316 2 it -PRON- PRP A34005 316 3 may may MD A34005 316 4 be be VB A34005 316 5 noted note VBN A34005 316 6 also also RB A34005 316 7 that that IN A34005 316 8 the the DT A34005 316 9 exactest exact JJS A34005 316 10 way way NN A34005 316 11 of of IN A34005 316 12 rectifying rectify VBG A34005 316 13 the the DT A34005 316 14 Bead Bead NNP A34005 316 15 , , , A34005 316 16 will will MD A34005 316 17 be be VB A34005 316 18 either either CC A34005 316 19 from from IN A34005 316 20 a a DT A34005 316 21 Table table NN A34005 316 22 of of IN A34005 316 23 the the DT A34005 316 24 Suns Suns NNPS A34005 316 25 Declination Declination NNP A34005 316 26 , , , A34005 316 27 laying lay VBG A34005 316 28 the the DT A34005 316 29 Thread Thread NNP A34005 316 30 over over IN A34005 316 31 the the DT A34005 316 32 same same JJ A34005 316 33 in in IN A34005 316 34 the the DT A34005 316 35 graduated graduate VBN A34005 316 36 Circle Circle NNP A34005 316 37 , , , A34005 316 38 or or CC A34005 316 39 from from IN A34005 316 40 his -PRON- PRP$ A34005 316 41 true true JJ A34005 316 42 place place NN A34005 316 43 , , , A34005 316 44 laying lay VBG A34005 316 45 it -PRON- PRP A34005 316 46 over over IN A34005 316 47 the the DT A34005 316 48 same same JJ A34005 316 49 in in IN A34005 316 50 the the DT A34005 316 51 proper proper JJ A34005 316 52 Ecliptick Ecliptick NNP A34005 316 53 , , , A34005 316 54 or or CC A34005 316 55 from from IN A34005 316 56 his -PRON- PRP$ A34005 316 57 right right JJ A34005 316 58 Ascension Ascension NNP A34005 316 59 counted count VBD A34005 316 60 in in IN A34005 316 61 the the DT A34005 316 62 Limb Limb NNP A34005 316 63 . . . A34005 317 1 Or or CC A34005 317 2 Lastly Lastly NNP A34005 317 3 from from IN A34005 317 4 his -PRON- PRP$ A34005 317 5 Meridian Meridian NNP A34005 317 6 Altitude Altitude NNP A34005 317 7 on on IN A34005 317 8 the the DT A34005 317 9 right right JJ A34005 317 10 edge edge NN A34005 317 11 of of IN A34005 317 12 the the DT A34005 317 13 Quadrant Quadrant NNP A34005 317 14 , , , A34005 317 15 for for IN A34005 317 16 these these DT A34005 317 17 do do VBP A34005 317 18 mutually mutually RB A34005 317 19 give give VB A34005 317 20 each each DT A34005 317 21 other other JJ A34005 317 22 the the DT A34005 317 23 Bead Bead NNP A34005 317 24 , , , A34005 317 25 being be VBG A34005 317 26 rectified rectified JJ A34005 317 27 to to IN A34005 317 28 the the DT A34005 317 29 respective respective JJ A34005 317 30 Ecliptick Ecliptick NNP A34005 317 31 as as IN A34005 317 32 before before RB A34005 317 33 . . . A34005 318 1 for for IN A34005 318 2 Example example NN A34005 318 3 . . . A34005 319 1 To to TO A34005 319 2 find find VB A34005 319 3 the the DT A34005 319 4 Suns Suns NNPS A34005 319 5 Declination Declination NNP A34005 319 6 . . . A34005 320 1 The the DT A34005 320 2 Thread Thread NNP A34005 320 3 laid lay VBD A34005 320 4 over over IN A34005 320 5 the the DT A34005 320 6 day day NN A34005 320 7 of of IN A34005 320 8 the the DT A34005 320 9 Moneth Moneth NNP A34005 320 10 , , , A34005 320 11 intersects intersect VBZ A34005 320 12 it -PRON- PRP A34005 320 13 upon upon IN A34005 320 14 that that IN A34005 320 15 Circle Circle NNP A34005 320 16 whereon whereon NN A34005 320 17 it -PRON- PRP A34005 320 18 is be VBZ A34005 320 19 graduated graduate VBN A34005 320 20 , , , A34005 320 21 which which WDT A34005 320 22 in in IN A34005 320 23 the the DT A34005 320 24 Summer Summer NNP A34005 320 25 half half NN A34005 320 26 year year NN A34005 320 27 is be VBZ A34005 320 28 to to TO A34005 320 29 be be VB A34005 320 30 accounted account VBN A34005 320 31 on on IN A34005 320 32 this this DT A34005 320 33 side side NN A34005 320 34 the the DT A34005 320 35 Equinoctial equinoctial JJ A34005 320 36 , , , A34005 320 37 North North NNP A34005 320 38 , , , A34005 320 39 and and CC A34005 320 40 in in IN A34005 320 41 the the DT A34005 320 42 Winter Winter NNP A34005 320 43 - - HYPH A34005 320 44 half half NN A34005 320 45 year year NN A34005 320 46 , , , A34005 320 47 South South NNP A34005 320 48 ; ; : A34005 320 49 so so CC A34005 320 50 laying lay VBG A34005 320 51 the the DT A34005 320 52 Thread Thread NNP A34005 320 53 over over IN A34005 320 54 the the DT A34005 320 55 27th 27th NN A34005 320 56 . . . A34005 321 1 day day NN A34005 321 2 of of IN A34005 321 3 April April NNP A34005 321 4 , , , A34005 321 5 it -PRON- PRP A34005 321 6 intersects intersect VBZ A34005 321 7 the the DT A34005 321 8 Circle Circle NNP A34005 321 9 of of IN A34005 321 10 Declination Declination NNP A34005 321 11 at at IN A34005 321 12 17 17 CD A34005 321 13 degrees degree NNS A34005 321 14 , , , A34005 321 15 and and CC A34005 321 16 so so RB A34005 321 17 much much JJ A34005 321 18 was be VBD A34005 321 19 the the DT A34005 321 20 Suns Suns NNPS A34005 321 21 Declination Declination NNP A34005 321 22 . . . A34005 322 1 To to TO A34005 322 2 find find VB A34005 322 3 the the DT A34005 322 4 Suns Suns NNPS A34005 322 5 true true JJ A34005 322 6 place place NN A34005 322 7 . . . A34005 323 1 The the DT A34005 323 2 Thread Thread NNP A34005 323 3 lying lie VBG A34005 323 4 as as IN A34005 323 5 before before RB A34005 323 6 , , , A34005 323 7 shews shew VBZ A34005 323 8 it -PRON- PRP A34005 323 9 on on IN A34005 323 10 the the DT A34005 323 11 respective respective JJ A34005 323 12 Ecliptick Ecliptick NNP A34005 323 13 , , , A34005 323 14 So so RB A34005 323 15 the the DT A34005 323 16 Thread thread NN A34005 323 17 lying lie VBG A34005 323 18 over over IN A34005 323 19 the the DT A34005 323 20 17 17 CD A34005 323 21 of of IN A34005 323 22 April April NNP A34005 323 23 , , , A34005 323 24 will will MD A34005 323 25 cut cut VB A34005 323 26 the the DT A34005 323 27 Summer Summer NNP A34005 323 28 Ecliptick Ecliptick NNP A34005 323 29 , , , A34005 323 30 in in IN A34005 323 31 17d 17d NNS A34005 323 32 7 7 CD A34005 323 33 m m CD A34005 323 34 of of IN A34005 323 35 Taurus Taurus NNP A34005 323 36 ; ; : A34005 323 37 or or CC A34005 323 38 in in IN A34005 323 39 12d 12d CD A34005 323 40 53 53 CD A34005 323 41 m m CD A34005 323 42 of of IN A34005 323 43 Leo Leo NNP A34005 323 44 , , , A34005 323 45 which which WDT A34005 323 46 agrees agree VBZ A34005 323 47 to to IN A34005 323 48 the the DT A34005 323 49 26 26 CD A34005 323 50 day day NN A34005 323 51 of of IN A34005 323 52 July July NNP A34005 323 53 , , , A34005 323 54 or or CC A34005 323 55 thereabouts thereabout VBZ A34005 323 56 , , , A34005 323 57 the the DT A34005 323 58 Thread Thread NNP A34005 323 59 intersecting intersect VBG A34005 323 60 both both CC A34005 323 61 these these DT A34005 323 62 days day NNS A34005 323 63 at at IN A34005 323 64 once once RB A34005 323 65 ; ; : A34005 323 66 and and CC A34005 323 67 the the DT A34005 323 68 opposite opposite JJ A34005 323 69 points point NNS A34005 323 70 of of IN A34005 323 71 the the DT A34005 323 72 Ecliptick Ecliptick NNP A34005 323 73 hereto hereto NN A34005 323 74 , , , A34005 323 75 are be VBP A34005 323 76 17d 17d NNS A34005 323 77 ● ● . A34005 323 78 m m NN A34005 323 79 in in IN A34005 323 80 Scorpio Scorpio NNP A34005 323 81 , , , A34005 323 82 about about IN A34005 323 83 the the DT A34005 323 84 20 20 CD A34005 323 85 of of IN A34005 323 86 October October NNP A34005 323 87 ; ; : A34005 323 88 and and CC A34005 323 89 12d 12d NNS A34005 323 90 53 53 CD A34005 323 91 m m CD A34005 323 92 of of IN A34005 323 93 Aquarius Aquarius NNP A34005 323 94 , , , A34005 323 95 about about IN A34005 323 96 the the DT A34005 323 97 22d 22d NNS A34005 323 98 of of IN A34005 323 99 January January NNP A34005 323 100 , , , A34005 323 101 all all DT A34005 323 102 shewed shew VBD A34005 323 103 at at IN A34005 323 104 once once RB A34005 323 105 by by IN A34005 323 106 the the DT A34005 323 107 Threads Threads NNP A34005 323 108 position position NN A34005 323 109 . . . A34005 324 1 To to TO A34005 324 2 find find VB A34005 324 3 the the DT A34005 324 4 Suns Suns NNPS A34005 324 5 right right JJ A34005 324 6 Ascension ascension NN A34005 324 7 . . . A34005 325 1 Lay lay VB A34005 325 2 the the DT A34005 325 3 Thread thread NN A34005 325 4 over over IN A34005 325 5 the the DT A34005 325 6 day day NN A34005 325 7 of of IN A34005 325 8 the the DT A34005 325 9 Month Month NNP A34005 325 10 as as IN A34005 325 11 before before RB A34005 325 12 , , , A34005 325 13 and and CC A34005 325 14 it -PRON- PRP A34005 325 15 intersects intersect VBZ A34005 325 16 it -PRON- PRP A34005 325 17 in in IN A34005 325 18 the the DT A34005 325 19 equal equal JJ A34005 325 20 Limb Limb NNP A34005 325 21 ; ; : A34005 325 22 whence whence NN A34005 325 23 taking take VBG A34005 325 24 it -PRON- PRP A34005 325 25 in in IN A34005 325 26 degrees degree NNS A34005 325 27 and and CC A34005 325 28 minutes minute NNS A34005 325 29 of of IN A34005 325 30 the the DT A34005 325 31 Equator Equator NNP A34005 325 32 , , , A34005 325 33 whilst whilst IN A34005 325 34 the the DT A34005 325 35 Sun Sun NNP A34005 325 36 is be VBZ A34005 325 37 departing depart VBG A34005 325 38 from from IN A34005 325 39 the the DT A34005 325 40 Equator equator NN A34005 325 41 towards towards IN A34005 325 42 the the DT A34005 325 43 Tropicks tropick NNS A34005 325 44 , , , A34005 325 45 it -PRON- PRP A34005 325 46 must must MD A34005 325 47 be be VB A34005 325 48 counted count VBN A34005 325 49 as as IN A34005 325 50 the the DT A34005 325 51 graduations graduation NNS A34005 325 52 of of IN A34005 325 53 the the DT A34005 325 54 Limb Limb NNP A34005 325 55 , , , A34005 325 56 from from IN A34005 325 57 the the DT A34005 325 58 left left JJ A34005 325 59 edge edge NN A34005 325 60 towards towards IN A34005 325 61 the the DT A34005 325 62 right right NN A34005 325 63 ; ; : A34005 325 64 but but CC A34005 325 65 when when WRB A34005 325 66 the the DT A34005 325 67 Sun Sun NNP A34005 325 68 is be VBZ A34005 325 69 returning return VBG A34005 325 70 from from IN A34005 325 71 the the DT A34005 325 72 right right JJ A34005 325 73 edge edge NN A34005 325 74 towards towards IN A34005 325 75 the the DT A34005 325 76 left left NN A34005 325 77 ; ; : A34005 325 78 the the DT A34005 325 79 right right JJ A34005 325 80 Ascension ascension NN A34005 325 81 thus thus RB A34005 325 82 found find VBD A34005 325 83 , , , A34005 325 84 must must MD A34005 325 85 be be VB A34005 325 86 estimated estimate VBN A34005 325 87 according accord VBG A34005 325 88 to to IN A34005 325 89 the the DT A34005 325 90 season season NN A34005 325 91 of of IN A34005 325 92 the the DT A34005 325 93 year year NN A34005 325 94 . . . A34005 326 1 From from IN A34005 326 2 June June NNP A34005 326 3 11 11 CD A34005 326 4 to to IN A34005 326 5 Sept. September NNP A34005 326 6 13 13 CD A34005 326 7 It -PRON- PRP A34005 326 8 must must MD A34005 326 9 have have VB A34005 326 10 90 90 CD A34005 326 11 degrees degree NNS A34005 326 12 added add VBN A34005 326 13 to to IN A34005 326 14 it -PRON- PRP A34005 326 15 . . . A34005 327 1 Sep. September NNP A34005 327 2 13 13 CD A34005 327 3 to to IN A34005 327 4 Dec. December NNP A34005 327 5 11 11 CD A34005 327 6 It -PRON- PRP A34005 327 7 must must MD A34005 327 8 have have VB A34005 327 9 180 180 CD A34005 327 10 degrees degree NNS A34005 327 11 added add VBN A34005 327 12 to to IN A34005 327 13 it -PRON- PRP A34005 327 14 . . . A34005 328 1 Dec. December NNP A34005 328 2 11 11 CD A34005 328 3 to to IN A34005 328 4 Mar. March NNP A34005 329 1 10 10 CD A34005 329 2 It -PRON- PRP A34005 329 3 must must MD A34005 329 4 have have VB A34005 329 5 270 270 CD A34005 329 6 degrees degree NNS A34005 329 7 added add VBN A34005 329 8 to to IN A34005 329 9 it -PRON- PRP A34005 329 10 . . . A34005 330 1 But but CC A34005 330 2 in in IN A34005 330 3 finding find VBG A34005 330 4 the the DT A34005 330 5 Hour Hour NNP A34005 330 6 of of IN A34005 330 7 the the DT A34005 330 8 night night NN A34005 330 9 by by IN A34005 330 10 the the DT A34005 330 11 Quadrant Quadrant NNP A34005 330 12 , , , A34005 330 13 we -PRON- PRP A34005 330 14 need need VBP A34005 330 15 no no RB A34005 330 16 more more JJR A34005 330 17 then then RB A34005 330 18 12 12 CD A34005 330 19 hours hour NNS A34005 330 20 of of IN A34005 330 21 Ascension ascension NN A34005 330 22 , , , A34005 330 23 for for IN A34005 330 24 either either DT A34005 330 25 Sun Sun NNP A34005 330 26 or or CC A34005 330 27 Star Star NNP A34005 330 28 , , , A34005 330 29 and and CC A34005 330 30 the the DT A34005 330 31 Limb Limb NNP A34005 330 32 is be VBZ A34005 330 33 accordingly accordingly RB A34005 330 34 numbred numbre VBN A34005 330 35 from from IN A34005 330 36 the the DT A34005 330 37 left left JJ A34005 330 38 edge edge NN A34005 330 39 towards towards IN A34005 330 40 the the DT A34005 330 41 right right NN A34005 330 42 , , , A34005 330 43 from from IN A34005 330 44 1 1 CD A34005 330 45 to to IN A34005 330 46 6 6 CD A34005 330 47 in in IN A34005 330 48 a a DT A34005 330 49 smaller small JJR A34005 330 50 figure figure NN A34005 330 51 , , , A34005 330 52 and and CC A34005 330 53 thence thence VB A34005 330 54 back back RB A34005 330 55 again again RB A34005 330 56 to to IN A34005 330 57 12 12 CD A34005 330 58 , , , A34005 330 59 and and CC A34005 330 60 the the DT A34005 330 61 other other JJ A34005 330 62 figures figure NNS A34005 330 63 are be VBP A34005 330 64 the the DT A34005 330 65 Complements Complements NNPS A34005 330 66 of of IN A34005 330 67 these these DT A34005 330 68 to to IN A34005 330 69 12 12 CD A34005 330 70 . . . A34005 330 71 so so IN A34005 330 72 that that IN A34005 330 73 when when WRB A34005 330 74 the the DT A34005 330 75 Sun Sun NNP A34005 330 76 is be VBZ A34005 330 77 departing depart VBG A34005 330 78 from from IN A34005 330 79 the the DT A34005 330 80 Equator equator NN A34005 330 81 towards towards IN A34005 330 82 the the DT A34005 330 83 Tropicks tropick NNS A34005 330 84 ; ; : A34005 330 85 his -PRON- PRP$ A34005 330 86 right right JJ A34005 330 87 Ascension ascension NN A34005 330 88 is be VBZ A34005 330 89 always always RB A34005 330 90 less less JJR A34005 330 91 then then RB A34005 330 92 6 6 CD A34005 330 93 hours hour NNS A34005 330 94 , , , A34005 330 95 and and CC A34005 330 96 the the DT A34005 330 97 Complement Complement NNP A34005 330 98 of of IN A34005 330 99 it -PRON- PRP A34005 330 100 more more RBR A34005 330 101 ; ; : A34005 330 102 but but CC A34005 330 103 when when WRB A34005 330 104 he -PRON- PRP A34005 330 105 is be VBZ A34005 330 106 returning return VBG A34005 330 107 from from IN A34005 330 108 the the DT A34005 330 109 Tropicks tropick NNS A34005 330 110 towards towards IN A34005 330 111 the the DT A34005 330 112 Equator equator NN A34005 330 113 , , , A34005 330 114 it -PRON- PRP A34005 330 115 is be VBZ A34005 330 116 always always RB A34005 330 117 more more JJR A34005 330 118 then then IN A34005 330 119 6 6 CD A34005 330 120 hours hour NNS A34005 330 121 , , , A34005 330 122 and and CC A34005 330 123 the the DT A34005 330 124 Complement Complement NNP A34005 330 125 of of IN A34005 330 126 it -PRON- PRP A34005 330 127 less less RBR A34005 330 128 ; ; : A34005 330 129 the the DT A34005 330 130 odd odd JJ A34005 330 131 minutes minute NNS A34005 330 132 are be VBP A34005 330 133 to to TO A34005 330 134 be be VB A34005 330 135 taken take VBN A34005 330 136 from from IN A34005 330 137 the the DT A34005 330 138 Limb Limb NNP A34005 330 139 , , , A34005 330 140 where where WRB A34005 330 141 each each DT A34005 330 142 degree degree NN A34005 330 143 being be VBG A34005 330 144 divided divide VBN A34005 330 145 into into IN A34005 330 146 4 4 CD A34005 330 147 parts part NNS A34005 330 148 , , , A34005 330 149 each each DT A34005 330 150 part part NN A34005 330 151 signifies signify VBZ A34005 330 152 a a DT A34005 330 153 Minute Minute NNP A34005 330 154 of of IN A34005 330 155 time time NN A34005 330 156 , , , A34005 330 157 and and CC A34005 330 158 to to TO A34005 330 159 know know VB A34005 330 160 whether whether IN A34005 330 161 the the DT A34005 330 162 Sun Sun NNP A34005 330 163 doth doth NN A34005 330 164 depart depart NN A34005 330 165 from from IN A34005 330 166 , , , A34005 330 167 or or CC A34005 330 168 return return VB A34005 330 169 towards towards IN A34005 330 170 the the DT A34005 330 171 Equator equator NN A34005 330 172 , , , A34005 330 173 is be VBZ A34005 330 174 very very RB A34005 330 175 visible visible JJ A34005 330 176 , , , A34005 330 177 by by IN A34005 330 178 the the DT A34005 330 179 progress progress NN A34005 330 180 and and CC A34005 330 181 regress regress NN A34005 330 182 of of IN A34005 330 183 the the DT A34005 330 184 days day NNS A34005 330 185 of of IN A34005 330 186 the the DT A34005 330 187 month month NN A34005 330 188 , , , A34005 330 189 as as IN A34005 330 190 they -PRON- PRP A34005 330 191 are be VBP A34005 330 192 denominated denominate VBN A34005 330 193 on on IN A34005 330 194 the the DT A34005 330 195 Quadrant Quadrant NNP A34005 330 196 . . . A34005 331 1 Example example NN A34005 331 2 . . . A34005 332 1 So so RB A34005 332 2 the the DT A34005 332 3 Thread thread NN A34005 332 4 laid lay VBD A34005 332 5 over over IN A34005 332 6 17d 17d NNS A34005 332 7 of of IN A34005 332 8 Declination declination NN A34005 332 9 , , , A34005 332 10 which which WDT A34005 332 11 will will MD A34005 332 12 be be VB A34005 332 13 about about IN A34005 332 14 the the DT A34005 332 15 27 27 CD A34005 332 16 April April NNP A34005 332 17 The the DT A34005 332 18 Suns Suns NNPS A34005 332 19 right right JJ A34005 332 20 Ascension ascension NN A34005 332 21 will will MD A34005 332 22 be be VB A34005 332 23 44d 44d CD A34005 332 24 37 37 CD A34005 332 25 m m NN A34005 332 26 In in IN A34005 332 27 time time NN A34005 332 28 2 2 CD A34005 332 29 h h NN A34005 332 30 58′ 58′ CD A34005 332 31 26 26 CD A34005 332 32 July July NNP A34005 332 33 The the DT A34005 332 34 Suns Suns NNPS A34005 332 35 right right JJ A34005 332 36 Ascension Ascension NNP A34005 332 37 will will MD A34005 332 38 be be VB A34005 332 39 135 135 CD A34005 332 40 23 23 CD A34005 332 41 In in IN A34005 332 42 time time NN A34005 332 43 9 9 CD A34005 332 44 2 2 CD A34005 332 45 20 20 CD A34005 332 46 October October NNP A34005 332 47 The the DT A34005 332 48 Suns Suns NNPS A34005 332 49 right right JJ A34005 332 50 Ascension ascension NN A34005 332 51 will will MD A34005 332 52 be be VB A34005 332 53 224 224 CD A34005 332 54 37 37 CD A34005 332 55 In in IN A34005 332 56 time time NN A34005 332 57 2 2 CD A34005 332 58 58 58 CD A34005 332 59 22 22 CD A34005 332 60 January January NNP A34005 332 61 The the DT A34005 332 62 Suns Suns NNPS A34005 332 63 right right JJ A34005 332 64 Ascension Ascension NNP A34005 332 65 will will MD A34005 332 66 be be VB A34005 332 67 315 315 CD A34005 332 68 23 23 CD A34005 332 69 In in IN A34005 332 70 time time NN A34005 332 71 9 9 CD A34005 332 72 2 2 CD A34005 332 73 But but CC A34005 332 74 here here RB A34005 332 75 the the DT A34005 332 76 latter latter JJ A34005 332 77 12 12 CD A34005 332 78 hours hour NNS A34005 332 79 are be VBP A34005 332 80 omitted omit VBN A34005 332 81 . . . A34005 333 1 Such such JJ A34005 333 2 Propositions Propositions NNP A34005 333 3 as as RB A34005 333 4 require require VBP A34005 333 5 the the DT A34005 333 6 use use NN A34005 333 7 of of IN A34005 333 8 the the DT A34005 333 9 Bead Bead NNP A34005 333 10 , , , A34005 333 11 are be VBP A34005 333 12 , , , A34005 333 13 To to TO A34005 333 14 find find VB A34005 333 15 the the DT A34005 333 16 Suns Suns NNPS A34005 333 17 Amplitude Amplitude NNP A34005 333 18 , , , A34005 333 19 or or CC A34005 333 20 Coast Coast NNP A34005 333 21 of of IN A34005 333 22 rising rise VBG A34005 333 23 and and CC A34005 333 24 setting set VBG A34005 333 25 from from IN A34005 333 26 the the DT A34005 333 27 true true JJ A34005 333 28 East East NNP A34005 333 29 or or CC A34005 333 30 West West NNP A34005 333 31 . . . A34005 334 1 Bring bring VB A34005 334 2 the the DT A34005 334 3 Bead Bead NNP A34005 334 4 , , , A34005 334 5 being be VBG A34005 334 6 rectified rectified JJ A34005 334 7 to to IN A34005 334 8 either either DT A34005 334 9 of of IN A34005 334 10 the the DT A34005 334 11 Eclipticks Eclipticks NNPS A34005 334 12 , , , A34005 334 13 it -PRON- PRP A34005 334 14 matters matter VBZ A34005 334 15 not not RB A34005 334 16 which which WDT A34005 334 17 , , , A34005 334 18 to to IN A34005 334 19 either either DT A34005 334 20 of of IN A34005 334 21 the the DT A34005 334 22 Horizons Horizons NNPS A34005 334 23 , , , A34005 334 24 and and CC A34005 334 25 the the DT A34005 334 26 Thread thread NN A34005 334 27 will will MD A34005 334 28 intersect intersect VB A34005 334 29 the the DT A34005 334 30 Amplitude Amplitude NNP A34005 334 31 sought seek VBD A34005 334 32 , , , A34005 334 33 upon upon IN A34005 334 34 both both DT A34005 334 35 alike alike RB A34005 334 36 : : : A34005 334 37 Example example NN A34005 334 38 ; ; : A34005 334 39 The the DT A34005 334 40 Suns Suns NNPS A34005 334 41 Declination Declination NNP A34005 334 42 being be VBG A34005 334 43 17 17 CD A34005 334 44 North north NN A34005 334 45 , , , A34005 334 46 or or CC A34005 334 47 South South NNP A34005 334 48 , , , A34005 334 49 the the DT A34005 334 50 Suns Suns NNPS A34005 334 51 Amplitude Amplitude NNP A34005 334 52 , , , A34005 334 53 will will MD A34005 334 54 be be VB A34005 334 55 found find VBN A34005 334 56 to to TO A34005 334 57 be be VB A34005 334 58 28 28 CD A34005 334 59 ● ● SYM A34005 334 60 2 2 CD A34005 334 61 m m NN A34005 334 62 . . . A34005 335 1 The the DT A34005 335 2 Amplitude Amplitude NNP A34005 335 3 before before IN A34005 335 4 found find VBN A34005 335 5 for for IN A34005 335 6 the the DT A34005 335 7 Summer Summer NNP A34005 335 8 half half NN A34005 335 9 year year NN A34005 335 10 , , , A34005 335 11 is be VBZ A34005 335 12 to to TO A34005 335 13 be be VB A34005 335 14 accounted account VBN A34005 335 15 from from IN A34005 335 16 East East NNP A34005 335 17 or or CC A34005 335 18 West West NNP A34005 335 19 Northwards Northwards NNPS A34005 335 20 ; ; : A34005 335 21 and and CC A34005 335 22 in in IN A34005 335 23 the the DT A34005 335 24 Winter Winter NNP A34005 335 25 half half NN A34005 335 26 year year NN A34005 335 27 from from IN A34005 335 28 thence thence NN A34005 335 29 Southwards Southwards NNP A34005 335 30 . . . A34005 336 1 To to TO A34005 336 2 find find VB A34005 336 3 the the DT A34005 336 4 time time NN A34005 336 5 of of IN A34005 336 6 the the DT A34005 336 7 Suns Suns NNPS A34005 336 8 rising rise VBG A34005 336 9 or or CC A34005 336 10 setting set VBG A34005 336 11 . . . A34005 337 1 The the DT A34005 337 2 Thread Thread NNP A34005 337 3 lying lie VBG A34005 337 4 in in IN A34005 337 5 the the DT A34005 337 6 same same JJ A34005 337 7 Position position NN A34005 337 8 , , , A34005 337 9 as as IN A34005 337 10 in in IN A34005 337 11 the the DT A34005 337 12 former former JJ A34005 337 13 Proposition Proposition NNP A34005 337 14 , , , A34005 337 15 intersects intersect VBZ A34005 337 16 the the DT A34005 337 17 Ascensional ascensional JJ A34005 337 18 difference difference NN A34005 337 19 in in IN A34005 337 20 the the DT A34005 337 21 Limb Limb NNP A34005 337 22 , , , A34005 337 23 which which WDT A34005 337 24 may may MD A34005 337 25 there there EX A34005 337 26 be be VB A34005 337 27 counted count VBN A34005 337 28 either either CC A34005 337 29 in in IN A34005 337 30 degrees degree NNS A34005 337 31 or or CC A34005 337 32 Time time NN A34005 337 33 . . . A34005 338 1 Example example NN A34005 338 2 . . . A34005 339 1 So so RB A34005 339 2 the the DT A34005 339 3 Bead Bead NNP A34005 339 4 lying lie VBG A34005 339 5 upon upon IN A34005 339 6 the the DT A34005 339 7 Horizon Horizon NNP A34005 339 8 , , , A34005 339 9 being be VBG A34005 339 10 rectified rectified JJ A34005 339 11 to to IN A34005 339 12 17 17 CD A34005 339 13 ● ● CD A34005 339 14 of of IN A34005 339 15 Declination Declination NNP A34005 339 16 , , , A34005 339 17 the the DT A34005 339 18 Thread Thread NNP A34005 339 19 intersects intersect VBZ A34005 339 20 the the DT A34005 339 21 Limb Limb NNP A34005 339 22 at at IN A34005 339 23 22d 22d CD A34005 339 24 38 38 CD A34005 339 25 m m CD A34005 339 26 , , , A34005 339 27 which which WDT A34005 339 28 is be VBZ A34005 339 29 1 1 CD A34005 339 30 h h NN A34005 339 31 30 30 CD A34005 339 32 m m NN A34005 339 33 of of IN A34005 339 34 time time NN A34005 339 35 , , , A34005 339 36 and and CC A34005 339 37 so so RB A34005 339 38 it -PRON- PRP A34005 339 39 shews shew VBZ A34005 339 40 the the DT A34005 339 41 time time NN A34005 339 42 of of IN A34005 339 43 Suns Suns NNPS A34005 339 44 rising rise VBG A34005 339 45 in in IN A34005 339 46 Summer summer NN A34005 339 47 , , , A34005 339 48 or or CC A34005 339 49 setting set VBG A34005 339 50 in in RP A34005 339 51 Winter Winter NNP A34005 339 52 , , , A34005 339 53 to to TO A34005 339 54 be be VB A34005 339 55 at at IN A34005 339 56 half half PDT A34005 339 57 an an DT A34005 339 58 hour hour NN A34005 339 59 past past IN A34005 339 60 4 4 CD A34005 339 61 ; ; : A34005 339 62 and and CC A34005 339 63 his -PRON- PRP$ A34005 339 64 rising rise VBG A34005 339 65 in in IN A34005 339 66 Winter Winter NNP A34005 339 67 , , , A34005 339 68 and and CC A34005 339 69 setting set VBG A34005 339 70 in in IN A34005 339 71 Summer Summer NNP A34005 339 72 , , , A34005 339 73 to to TO A34005 339 74 be be VB A34005 339 75 at at IN A34005 339 76 half half PDT A34005 339 77 an an DT A34005 339 78 hour hour NN A34005 339 79 past past IN A34005 339 80 7 7 CD A34005 339 81 . . . A34005 340 1 To to TO A34005 340 2 find find VB A34005 340 3 the the DT A34005 340 4 length length NN A34005 340 5 of of IN A34005 340 6 the the DT A34005 340 7 Day Day NNP A34005 340 8 or or CC A34005 340 9 Night Night NNP A34005 340 10 . . . A34005 341 1 The the DT A34005 341 2 time time NN A34005 341 3 of of IN A34005 341 4 the the DT A34005 341 5 Suns Suns NNPS A34005 341 6 rising rise VBG A34005 341 7 and and CC A34005 341 8 setting setting NN A34005 341 9 are be VBP A34005 341 10 one one CD A34005 341 11 of of IN A34005 341 12 them -PRON- PRP A34005 341 13 ; ; : A34005 341 14 the the DT A34005 341 15 Complement Complement NNP A34005 341 16 of of IN A34005 341 17 the the DT A34005 341 18 other other JJ A34005 341 19 to to TO A34005 341 20 12 12 CD A34005 341 21 hours hour NNS A34005 341 22 ; ; : A34005 341 23 so so IN A34005 341 24 that that IN A34005 341 25 one one CD A34005 341 26 of of IN A34005 341 27 them -PRON- PRP A34005 341 28 being be VBG A34005 341 29 known know VBN A34005 341 30 , , , A34005 341 31 the the DT A34005 341 32 other other JJ A34005 341 33 will will MD A34005 341 34 be be VB A34005 341 35 found find VBN A34005 341 36 by by IN A34005 341 37 Substraction substraction NN A34005 341 38 ; ; : A34005 341 39 the the DT A34005 341 40 time time NN A34005 341 41 of of IN A34005 341 42 Suns Suns NNPS A34005 341 43 setting setting NN A34005 341 44 is be VBZ A34005 341 45 equal equal JJ A34005 341 46 to to IN A34005 341 47 half half PDT A34005 341 48 the the DT A34005 341 49 length length NN A34005 341 50 of of IN A34005 341 51 the the DT A34005 341 52 day day NN A34005 341 53 ; ; : A34005 341 54 and and CC A34005 341 55 this this DT A34005 341 56 doubled double VBD A34005 341 57 gives give VBZ A34005 341 58 the the DT A34005 341 59 whole whole JJ A34005 341 60 length length NN A34005 341 61 of of IN A34005 341 62 the the DT A34005 341 63 day day NN A34005 341 64 ; ; : A34005 341 65 in in IN A34005 341 66 reference reference NN A34005 341 67 to to IN A34005 341 68 the the DT A34005 341 69 Suns Suns NNPS A34005 341 70 abode abode NN A34005 341 71 above above IN A34005 341 72 the the DT A34005 341 73 Horizon Horizon NNP A34005 341 74 , , , A34005 341 75 the the DT A34005 341 76 time time NN A34005 341 77 of of IN A34005 341 78 setting setting NN A34005 341 79 converted convert VBD A34005 341 80 into into IN A34005 341 81 degrees degree NNS A34005 341 82 , , , A34005 341 83 is be VBZ A34005 341 84 also also RB A34005 341 85 called call VBN A34005 341 86 the the DT A34005 341 87 Semi semi JJ A34005 341 88 - - JJ A34005 341 89 diurnal diurnal JJ A34005 341 90 Ark Ark NNP A34005 341 91 ; ; : A34005 341 92 the the DT A34005 341 93 time time NN A34005 341 94 of of IN A34005 341 95 Sun Sun NNP A34005 341 96 rising rise VBG A34005 341 97 ( ( -LRB- A34005 341 98 so so RB A34005 341 99 converted converted JJ A34005 341 100 is be VBZ A34005 341 101 called call VBN A34005 341 102 the the DT A34005 341 103 Semi semi JJ A34005 341 104 - - JJ A34005 341 105 nocturnal nocturnal JJ A34005 341 106 Ark Ark NNP A34005 341 107 ) ) -RRB- A34005 341 108 doubled double VBD A34005 341 109 gives give VBZ A34005 341 110 the the DT A34005 341 111 whole whole JJ A34005 341 112 length length NN A34005 341 113 of of IN A34005 341 114 the the DT A34005 341 115 Night Night NNP A34005 341 116 ; ; : A34005 341 117 so so CC A34005 341 118 upon upon IN A34005 341 119 the the DT A34005 341 120 27th 27th JJ A34005 341 121 day day NN A34005 341 122 of of IN A34005 341 123 April April NNP A34005 341 124 , , , A34005 341 125 the the DT A34005 341 126 Sun Sun NNP A34005 341 127 having have VBG A34005 341 128 17d 17d NNS A34005 341 129 of of IN A34005 341 130 Declination Declination NNP A34005 341 131 , , , A34005 341 132 the the DT A34005 341 133 length length NN A34005 341 134 of of IN A34005 341 135 the the DT A34005 341 136 day day NN A34005 341 137 is be VBZ A34005 341 138 15 15 CD A34005 341 139 hours hour NNS A34005 341 140 , , , A34005 341 141 and and CC A34005 341 142 the the DT A34005 341 143 length length NN A34005 341 144 of of IN A34005 341 145 the the DT A34005 341 146 night night NN A34005 341 147 9 9 CD A34005 341 148 hours hour NNS A34005 341 149 . . . A34005 342 1 To to TO A34005 342 2 find find VB A34005 342 3 the the DT A34005 342 4 Suns Suns NNPS A34005 342 5 Altitude Altitude NNP A34005 342 6 on on IN A34005 342 7 all all DT A34005 342 8 Hours hour NNS A34005 342 9 ; ; , A34005 342 10 or or CC A34005 342 11 at at IN A34005 342 12 any any DT A34005 342 13 time time NN A34005 342 14 proposed propose VBN A34005 342 15 . . . A34005 343 1 In in IN A34005 343 2 Summer summer NN A34005 343 3 time time NN A34005 343 4 , , , A34005 343 5 if if IN A34005 343 6 the the DT A34005 343 7 hour hour NN A34005 343 8 proposed propose VBN A34005 343 9 be be VB A34005 343 10 before before IN A34005 343 11 6 6 CD A34005 343 12 in in IN A34005 343 13 the the DT A34005 343 14 morning morning NN A34005 343 15 , , , A34005 343 16 or or CC A34005 343 17 after after IN A34005 343 18 it -PRON- PRP A34005 343 19 in in IN A34005 343 20 the the DT A34005 343 21 evening evening NN A34005 343 22 ▪ ▪ NN A34005 343 23 lay lie VBD A34005 343 24 the the DT A34005 343 25 Thread thread NN A34005 343 26 to to IN A34005 343 27 the the DT A34005 343 28 hour hour NN A34005 343 29 in in IN A34005 343 30 the the DT A34005 343 31 Limb Limb NNP A34005 343 32 , , , A34005 343 33 the the DT A34005 343 34 Bead Bead NNP A34005 343 35 being be VBG A34005 343 36 first first RB A34005 343 37 rectified rectify VBN A34005 343 38 to to IN A34005 343 39 the the DT A34005 343 40 Winter Winter NNP A34005 343 41 Ecliptick Ecliptick NNP A34005 343 42 , , , A34005 343 43 and and CC A34005 343 44 amongst amongst IN A34005 343 45 the the DT A34005 343 46 Paralels Paralels NNPS A34005 343 47 of of IN A34005 343 48 Altitude Altitude NNP A34005 343 49 above above IN A34005 343 50 the the DT A34005 343 51 upper upper JJ A34005 343 52 Horizon Horizon NNP A34005 343 53 , , , A34005 343 54 it -PRON- PRP A34005 343 55 shews shew VBZ A34005 343 56 the the DT A34005 343 57 Altitude altitude NN A34005 343 58 sought seek VBD A34005 343 59 . . . A34005 344 1 Example example NN A34005 344 2 . . . A34005 345 1 So so RB A34005 345 2 the the DT A34005 345 3 Sun Sun NNP A34005 345 4 having have VBG A34005 345 5 16d 16d NNS A34005 345 6 of of IN A34005 345 7 declination declination NN A34005 345 8 Northwards Northwards NNPS A34005 345 9 , , , A34005 345 10 as as IN A34005 345 11 about about IN A34005 345 12 the the DT A34005 345 13 24th 24th NN A34005 345 14 of of IN A34005 345 15 April April NNP A34005 345 16 , , , A34005 345 17 laying lay VBG A34005 345 18 the the DT A34005 345 19 Thread Thread NNP A34005 345 20 over over IN A34005 345 21 the the DT A34005 345 22 Declination declination NN A34005 345 23 , , , A34005 345 24 I -PRON- PRP A34005 345 25 set set VBD A34005 345 26 the the DT A34005 345 27 Bead Bead NNP A34005 345 28 to to IN A34005 345 29 the the DT A34005 345 30 Winter Winter NNP A34005 345 31 Ecliptick Ecliptick NNP A34005 345 32 , , , A34005 345 33 and and CC A34005 345 34 if if IN A34005 345 35 it -PRON- PRP A34005 345 36 were be VBD A34005 345 37 required require VBN A34005 345 38 to to TO A34005 345 39 find find VB A34005 345 40 what what WP A34005 345 41 Altitude altitude NN A34005 345 42 the the DT A34005 345 43 Sun Sun NNP A34005 345 44 shall shall MD A34005 345 45 have have VB A34005 345 46 at at IN A34005 345 47 36 36 CD A34005 345 48 minutes minute NNS A34005 345 49 past past IN A34005 345 50 6 6 CD A34005 345 51 in in IN A34005 345 52 the the DT A34005 345 53 afternoon afternoon NN A34005 345 54 , , , A34005 345 55 lay lie VBD A34005 345 56 the the DT A34005 345 57 Thread Thread NNP A34005 345 58 over over IN A34005 345 59 the the DT A34005 345 60 same same JJ A34005 345 61 in in IN A34005 345 62 the the DT A34005 345 63 Limb Limb NNP A34005 345 64 , , , A34005 345 65 and and CC A34005 345 66 the the DT A34005 345 67 Bead Bead NNP A34005 345 68 among among IN A34005 345 69 the the DT A34005 345 70 Parralels Parralels NNP A34005 345 71 of of IN A34005 345 72 Altitude Altitude NNP A34005 345 73 will will MD A34005 345 74 fall fall VB A34005 345 75 upon upon IN A34005 345 76 7d 7d NNS A34005 345 77 , , , A34005 345 78 At at IN A34005 345 79 all all DT A34005 345 80 other other JJ A34005 345 81 times time NNS A34005 345 82 the the DT A34005 345 83 Operation operation NN A34005 345 84 is be VBZ A34005 345 85 alike alike JJ A34005 345 86 ; ; : A34005 345 87 the the DT A34005 345 88 Bead Bead NNP A34005 345 89 being be VBG A34005 345 90 rectified rectified JJ A34005 345 91 to to IN A34005 345 92 that that DT A34005 345 93 Ecliptick Ecliptick NNP A34005 345 94 that that WDT A34005 345 95 is be VBZ A34005 345 96 proper proper JJ A34005 345 97 to to IN A34005 345 98 the the DT A34005 345 99 season season NN A34005 345 100 of of IN A34005 345 101 the the DT A34005 345 102 year year NN A34005 345 103 : : : A34005 345 104 Lay Lay NNP A34005 345 105 the the DT A34005 345 106 Thread thread NN A34005 345 107 over over IN A34005 345 108 the the DT A34005 345 109 proposed propose VBN A34005 345 110 hour hour NN A34005 345 111 in in IN A34005 345 112 the the DT A34005 345 113 Limb Limb NNP A34005 345 114 , , , A34005 345 115 and and CC A34005 345 116 the the DT A34005 345 117 Bead Bead NNP A34005 345 118 amongst amongst IN A34005 345 119 the the DT A34005 345 120 Parralels Parralels NNP A34005 345 121 of of IN A34005 345 122 Altitude Altitude NNP A34005 345 123 , , , A34005 345 124 sheweth sheweth VB A34005 345 125 the the DT A34005 345 126 Altitude altitude NN A34005 345 127 sought seek VBD A34005 345 128 . . . A34005 346 1 Example example NN A34005 346 2 . . . A34005 347 1 So so CC A34005 347 2 if if IN A34005 347 3 it -PRON- PRP A34005 347 4 were be VBD A34005 347 5 required require VBN A34005 347 6 the the DT A34005 347 7 same same JJ A34005 347 8 day day NN A34005 347 9 to to TO A34005 347 10 find find VB A34005 347 11 what what WP A34005 347 12 Altitude altitude NN A34005 347 13 the the DT A34005 347 14 Sun Sun NNP A34005 347 15 should should MD A34005 347 16 have have VB A34005 347 17 at at IN A34005 347 18 19 19 CD A34005 347 19 m m NN A34005 347 20 past past JJ A34005 347 21 2 2 CD A34005 347 22 in in IN A34005 347 23 the the DT A34005 347 24 afternoon afternoon NN A34005 347 25 ; ; : A34005 347 26 Lay Lay NNP A34005 347 27 the the DT A34005 347 28 Thread thread NN A34005 347 29 in in IN A34005 347 30 the the DT A34005 347 31 Limb Limb NNP A34005 347 32 over over IN A34005 347 33 the the DT A34005 347 34 time time NN A34005 347 35 given give VBN A34005 347 36 , , , A34005 347 37 and and CC A34005 347 38 the the DT A34005 347 39 Bead Bead NNP A34005 347 40 among among IN A34005 347 41 the the DT A34005 347 42 Parralels Parralels NNP A34005 347 43 of of IN A34005 347 44 Altitude Altitude NNP A34005 347 45 will will MD A34005 347 46 fall fall VB A34005 347 47 upon upon IN A34005 347 48 45d 45d NNS A34005 347 49 for for IN A34005 347 50 the the DT A34005 347 51 Altitude altitude NN A34005 347 52 sought seek VBD A34005 347 53 . . . A34005 348 1 To to TO A34005 348 2 finde finde VB A34005 348 3 the the DT A34005 348 4 Suns Suns NNPS A34005 348 5 Altitude Altitude NNP A34005 348 6 on on IN A34005 348 7 all all DT A34005 348 8 Azimuths azimuth NNS A34005 348 9 . . . A34005 349 1 IN in IN A34005 349 2 the the DT A34005 349 3 Summer summer NN A34005 349 4 half half NN A34005 349 5 year year NN A34005 349 6 , , , A34005 349 7 if if IN A34005 349 8 the the DT A34005 349 9 Azimuth Azimuth NNP A34005 349 10 propounded propound VBN A34005 349 11 be be VBP A34005 349 12 more more JJR A34005 349 13 Northward northward RB A34005 349 14 then then RB A34005 349 15 the the DT A34005 349 16 Azimuth Azimuth NNP A34005 349 17 of of IN A34005 349 18 the the DT A34005 349 19 Sun Sun NNP A34005 349 20 shall shall MD A34005 349 21 have have VB A34005 349 22 at at IN A34005 349 23 the the DT A34005 349 24 hour hour NN A34005 349 25 of of IN A34005 349 26 6 6 CD A34005 349 27 ; ; : A34005 349 28 The the DT A34005 349 29 Bead Bead NNP A34005 349 30 must must MD A34005 349 31 be be VB A34005 349 32 rectified rectified JJ A34005 349 33 to to IN A34005 349 34 the the DT A34005 349 35 Winter Winter NNP A34005 349 36 Ecliptick Ecliptick NNP A34005 349 37 , , , A34005 349 38 and and CC A34005 349 39 brought bring VBD A34005 349 40 to to IN A34005 349 41 the the DT A34005 349 42 Azimuth Azimuth NNP A34005 349 43 proposed propose VBN A34005 349 44 above above IN A34005 349 45 the the DT A34005 349 46 upper upper JJ A34005 349 47 Horizon Horizon NNP A34005 349 48 , , , A34005 349 49 and and CC A34005 349 50 there there RB A34005 349 51 among among IN A34005 349 52 the the DT A34005 349 53 Parralels Parralels NNP A34005 349 54 of of IN A34005 349 55 Altitude Altitude NNP A34005 349 56 , , , A34005 349 57 it -PRON- PRP A34005 349 58 sheweth sheweth VBZ A34005 349 59 the the DT A34005 349 60 Altitude altitude NN A34005 349 61 sought seek VBD A34005 349 62 . . . A34005 350 1 So so RB A34005 350 2 about about IN A34005 350 3 the the DT A34005 350 4 24th 24th NN A34005 350 5 of of IN A34005 350 6 April April NNP A34005 350 7 , , , A34005 350 8 when when WRB A34005 350 9 the the DT A34005 350 10 Suns Suns NNP A34005 350 11 Declination Declination NNP A34005 350 12 is be VBZ A34005 350 13 16d 16d NNS A34005 350 14 his -PRON- PRP$ A34005 350 15 Azimuth Azimuth NNP A34005 350 16 at at IN A34005 350 17 6 6 CD A34005 350 18 of of IN A34005 350 19 the the DT A34005 350 20 clock clock NN A34005 350 21 will will MD A34005 350 22 be be VB A34005 350 23 found find VBN A34005 350 24 to to TO A34005 350 25 be be VB A34005 350 26 76d 76d ADD A34005 350 27 54 54 CD A34005 350 28 m m NN A34005 350 29 from from IN A34005 350 30 the the DT A34005 350 31 South South NNP A34005 350 32 ; ; : A34005 350 33 Then then RB A34005 350 34 if if IN A34005 350 35 it -PRON- PRP A34005 350 36 were be VBD A34005 350 37 required require VBN A34005 350 38 to to TO A34005 350 39 find find VB A34005 350 40 the the DT A34005 350 41 Suns Suns NNPS A34005 350 42 Altitude Altitude NNP A34005 350 43 upon upon IN A34005 350 44 an an DT A34005 350 45 Azimuth Azimuth NNP A34005 350 46 more more RBR A34005 350 47 remote remote JJ A34005 350 48 , , , A34005 350 49 as as IN A34005 350 50 upon upon IN A34005 350 51 107d 107d CD A34005 350 52 from from IN A34005 350 53 the the DT A34005 350 54 South South NNP A34005 350 55 , , , A34005 350 56 laying lay VBG A34005 350 57 the the DT A34005 350 58 Thread Thread NNP A34005 350 59 over over IN A34005 350 60 the the DT A34005 350 61 Declination declination NN A34005 350 62 , , , A34005 350 63 I -PRON- PRP A34005 350 64 set set VBD A34005 350 65 the the DT A34005 350 66 Bead Bead NNP A34005 350 67 to to IN A34005 350 68 the the DT A34005 350 69 Winter Winter NNP A34005 350 70 Ecliptick Ecliptick NNP A34005 350 71 , , , A34005 350 72 and and CC A34005 350 73 afterwards afterwards RB A34005 350 74 carrying carry VBG A34005 350 75 it -PRON- PRP A34005 350 76 to to IN A34005 350 77 the the DT A34005 350 78 Azimuth Azimuth NNP A34005 350 79 proposed propose VBN A34005 350 80 among among IN A34005 350 81 the the DT A34005 350 82 Parralels Parralels NNP A34005 350 83 of of IN A34005 350 84 Altitude Altitude NNP A34005 350 85 above above IN A34005 350 86 the the DT A34005 350 87 upper upper JJ A34005 350 88 Horizon Horizon NNP A34005 350 89 , , , A34005 350 90 it -PRON- PRP A34005 350 91 falleth falleth VBZ A34005 350 92 upon upon IN A34005 350 93 7d 7d NNS A34005 350 94 for for IN A34005 350 95 the the DT A34005 350 96 Suns Suns NNPS A34005 350 97 Altitude Altitude NNP A34005 350 98 sought seek VBD A34005 350 99 . . . A34005 351 1 In in IN A34005 351 2 all all DT A34005 351 3 other other JJ A34005 351 4 Cases case NNS A34005 351 5 bring bring VBP A34005 351 6 the the DT A34005 351 7 Bead Bead NNP A34005 351 8 rectified rectified JJ A34005 351 9 to to IN A34005 351 10 the the DT A34005 351 11 Ecliptick Ecliptick NNP A34005 351 12 proper proper JJ A34005 351 13 to to IN A34005 351 14 the the DT A34005 351 15 season season NN A34005 351 16 of of IN A34005 351 17 the the DT A34005 351 18 year year NN A34005 351 19 , , , A34005 351 20 to to IN A34005 351 21 the the DT A34005 351 22 Azimuth Azimuth NNP A34005 351 23 proposed propose VBN A34005 351 24 ; ; : A34005 351 25 and and CC A34005 351 26 among among IN A34005 351 27 the the DT A34005 351 28 Parralels Parralels NNPS A34005 351 29 of of IN A34005 351 30 Altitude Altitude NNP A34005 351 31 it -PRON- PRP A34005 351 32 sheweth sheweth VBZ A34005 351 33 the the DT A34005 351 34 Altitude altitude NN A34005 351 35 sought seek VBD A34005 351 36 ; ; : A34005 351 37 So so RB A34005 351 38 far far RB A34005 351 39 the the DT A34005 351 40 same same JJ A34005 351 41 day day NN A34005 351 42 , , , A34005 351 43 I -PRON- PRP A34005 351 44 set set VBD A34005 351 45 the the DT A34005 351 46 Bead Bead NNP A34005 351 47 to to IN A34005 351 48 the the DT A34005 351 49 Summer Summer NNP A34005 351 50 Ecliptick Ecliptick NNP A34005 351 51 , , , A34005 351 52 and and CC A34005 351 53 if if IN A34005 351 54 it -PRON- PRP A34005 351 55 were be VBD A34005 351 56 required require VBN A34005 351 57 to to TO A34005 351 58 know know VB A34005 351 59 what what WP A34005 351 60 Altitude altitude NN A34005 351 61 the the DT A34005 351 62 Sun Sun NNP A34005 351 63 shall shall MD A34005 351 64 have have VB A34005 351 65 when when WRB A34005 351 66 his -PRON- PRP$ A34005 351 67 Azimuth azimuth NN A34005 351 68 is be VBZ A34005 351 69 50d 50d NNS A34005 351 70 48′ 48′ CD A34005 351 71 from from IN A34005 351 72 the the DT A34005 351 73 Meridian Meridian NNP A34005 351 74 carry carry VBP A34005 351 75 the the DT A34005 351 76 Bead Bead NNP A34005 351 77 to to IN A34005 351 78 the the DT A34005 351 79 said say VBN A34005 351 80 Azimuth Azimuth NNP A34005 351 81 , , , A34005 351 82 and and CC A34005 351 83 among among IN A34005 351 84 the the DT A34005 351 85 Parralels Parralels NNPS A34005 351 86 of of IN A34005 351 87 Altitude Altitude NNP A34005 351 88 it -PRON- PRP A34005 351 89 will will MD A34005 351 90 fall fall VB A34005 351 91 upon upon IN A34005 351 92 45d 45d NNS A34005 351 93 for for IN A34005 351 94 the the DT A34005 351 95 Altitude altitude NN A34005 351 96 sought seek VBD A34005 351 97 . . . A34005 352 1 The the DT A34005 352 2 Hour Hour NNP A34005 352 3 of of IN A34005 352 4 the the DT A34005 352 5 night night NN A34005 352 6 Proposed propose VBD A34005 352 7 to to TO A34005 352 8 find find VB A34005 352 9 the the DT A34005 352 10 Suns Suns NNP A34005 352 11 Depression Depression NNP A34005 352 12 under under IN A34005 352 13 the the DT A34005 352 14 Horizon Horizon NNP A34005 352 15 . . . A34005 353 1 IMagine imagine VB A34005 353 2 the the DT A34005 353 3 Sun Sun NNP A34005 353 4 to to TO A34005 353 5 have have VB A34005 353 6 as as RB A34005 353 7 much much JJ A34005 353 8 Declination declination NN A34005 353 9 on on IN A34005 353 10 the the DT A34005 353 11 other other JJ A34005 353 12 side side NN A34005 353 13 the the DT A34005 353 14 Equinoctial equinoctial JJ A34005 353 15 , , , A34005 353 16 as as IN A34005 353 17 he -PRON- PRP A34005 353 18 hath hath VBP A34005 353 19 on on IN A34005 353 20 the the DT A34005 353 21 side side NN A34005 353 22 proposed propose VBN A34005 353 23 ; ; : A34005 353 24 and and CC A34005 353 25 this this DT A34005 353 26 Case Case NNP A34005 353 27 will will MD A34005 353 28 be be VB A34005 353 29 co co VBN A34005 353 30 - - NN A34005 353 31 incident incident NN A34005 353 32 with with IN A34005 353 33 the the DT A34005 353 34 former former NN A34005 353 35 of of IN A34005 353 36 finding find VBG A34005 353 37 the the DT A34005 353 38 Suns Suns NNPS A34005 353 39 Altitude Altitude NNP A34005 353 40 for for IN A34005 353 41 any any DT A34005 353 42 time time NN A34005 353 43 proposed propose VBN A34005 353 44 ; ; : A34005 353 45 the the DT A34005 353 46 reason reason NN A34005 353 47 whereof whereof NN A34005 353 48 is be VBZ A34005 353 49 because because IN A34005 353 50 the the DT A34005 353 51 Sun Sun NNP A34005 353 52 is be VBZ A34005 353 53 always always RB A34005 353 54 so so RB A34005 353 55 much much JJ A34005 353 56 below below IN A34005 353 57 the the DT A34005 353 58 Horizon Horizon NNP A34005 353 59 at at IN A34005 353 60 any any DT A34005 353 61 hour hour NN A34005 353 62 of of IN A34005 353 63 the the DT A34005 353 64 night night NN A34005 353 65 , , , A34005 353 66 as as IN A34005 353 67 his -PRON- PRP$ A34005 353 68 opposite opposite JJ A34005 353 69 Point Point NNP A34005 353 70 in in IN A34005 353 71 the the DT A34005 353 72 Ecliptick Ecliptick NNP A34005 353 73 is be VBZ A34005 353 74 above above IN A34005 353 75 the the DT A34005 353 76 Horizon Horizon NNP A34005 353 77 at at IN A34005 353 78 the the DT A34005 353 79 like like JJ A34005 353 80 hour hour NN A34005 353 81 of of IN A34005 353 82 the the DT A34005 353 83 Day day NN A34005 353 84 . . . A34005 354 1 Such such JJ A34005 354 2 Propositions proposition NNS A34005 354 3 as as IN A34005 354 4 depend depend VBP A34005 354 5 upon upon IN A34005 354 6 the the DT A34005 354 7 knowledge knowledge NN A34005 354 8 of of IN A34005 354 9 the the DT A34005 354 10 Suns Suns NNPS A34005 354 11 Altititude Altititude NNP A34005 354 12 , , , A34005 354 13 are be VBP A34005 354 14 to to TO A34005 354 15 find find VB A34005 354 16 the the DT A34005 354 17 Hour Hour NNP A34005 354 18 of of IN A34005 354 19 the the DT A34005 354 20 Day day NN A34005 354 21 , , , A34005 354 22 and and CC A34005 354 23 the the DT A34005 354 24 Azimuth Azimuth NNP A34005 354 25 ( ( -LRB- A34005 354 26 or or CC A34005 354 27 true true JJ A34005 354 28 Coast Coast NNP A34005 354 29 ) ) -RRB- A34005 354 30 of of IN A34005 354 31 the the DT A34005 354 32 Sun Sun NNP A34005 354 33 . . . A34005 355 1 THe the DT A34005 355 2 Suns Suns NNPS A34005 355 3 Altitude Altitude NNP A34005 355 4 is be VBZ A34005 355 5 taken take VBN A34005 355 6 by by IN A34005 355 7 holding hold VBG A34005 355 8 the the DT A34005 355 9 Quadrant Quadrant NNP A34005 355 10 steady steady NN A34005 355 11 , , , A34005 355 12 and and CC A34005 355 13 letting let VBG A34005 355 14 the the DT A34005 355 15 Sun Sun NNP A34005 355 16 Beams Beams NNPS A34005 355 17 to to TO A34005 355 18 pass pass VB A34005 355 19 through through IN A34005 355 20 both both CC A34005 355 21 the the DT A34005 355 22 Sights Sights NNPS A34005 355 23 at at IN A34005 355 24 once once RB A34005 355 25 , , , A34005 355 26 and and CC A34005 355 27 the the DT A34005 355 28 Thread Thread NNP A34005 355 29 hanging hang VBG A34005 355 30 at at IN A34005 355 31 liberty liberty NN A34005 355 32 shews shew VBZ A34005 355 33 it -PRON- PRP A34005 355 34 in in IN A34005 355 35 the the DT A34005 355 36 equal equal JJ A34005 355 37 Limb Limb NNP A34005 355 38 , , , A34005 355 39 if if IN A34005 355 40 this this DT A34005 355 41 be be VB A34005 355 42 thought think VBN A34005 355 43 unsteady unsteady RB A34005 355 44 , , , A34005 355 45 the the DT A34005 355 46 Quadrant Quadrant NNP A34005 355 47 may may MD A34005 355 48 rest rest VB A34005 355 49 upon upon IN A34005 355 50 some some DT A34005 355 51 Concave Concave NNP A34005 355 52 Dish Dish NNP A34005 355 53 or or CC A34005 355 54 Pot Pot NNP A34005 355 55 , , , A34005 355 56 into into IN A34005 355 57 which which WDT A34005 355 58 the the DT A34005 355 59 Plummet Plummet NNP A34005 355 60 may may MD A34005 355 61 have have VB A34005 355 62 room room NN A34005 355 63 to to TO A34005 355 64 play play VB A34005 355 65 ; ; : A34005 355 66 but but CC A34005 355 67 for for IN A34005 355 68 greate greate NN A34005 355 69 Quadrants Quadrants NNPS A34005 355 70 there there EX A34005 355 71 are be VBP A34005 355 72 commonly commonly RB A34005 355 73 Pedistalls Pedistalls NNPS A34005 355 74 made make VBN A34005 355 75 . . . A34005 356 1 The the DT A34005 356 2 Altitude Altitude NNP A34005 356 3 supposed suppose VBD A34005 356 4 to to TO A34005 356 5 find find VB A34005 356 6 the the DT A34005 356 7 Hour Hour NNP A34005 356 8 of of IN A34005 356 9 the the DT A34005 356 10 Day day NN A34005 356 11 , , , A34005 356 12 and and CC A34005 356 13 the the DT A34005 356 14 Azimuth Azimuth NNP A34005 356 15 of of IN A34005 356 16 the the DT A34005 356 17 Sun Sun NNP A34005 356 18 in in IN A34005 356 19 Winter Winter NNP A34005 356 20 . . . A34005 357 1 REctifie rectifie VB A34005 357 2 the the DT A34005 357 3 Bead Bead NNP A34005 357 4 to to IN A34005 357 5 the the DT A34005 357 6 Winter Winter NNP A34005 357 7 Ecliptick Ecliptick NNP A34005 357 8 , , , A34005 357 9 and and CC A34005 357 10 carry carry VB A34005 357 11 it -PRON- PRP A34005 357 12 along along RP A34005 357 13 amongst amongst IN A34005 357 14 the the DT A34005 357 15 Parralels Parralels NNPS A34005 357 16 of of IN A34005 357 17 Altitude Altitude NNP A34005 357 18 till till IN A34005 357 19 it -PRON- PRP A34005 357 20 cut cut VBD A34005 357 21 or or CC A34005 357 22 intersect intersect VB A34005 357 23 that that IN A34005 357 24 Parralel Parralel NNP A34005 357 25 of of IN A34005 357 26 Altitude altitude NN A34005 357 27 on on IN A34005 357 28 which which WDT A34005 357 29 the the DT A34005 357 30 Sun Sun NNP A34005 357 31 was be VBD A34005 357 32 observed observe VBN A34005 357 33 , , , A34005 357 34 and and CC A34005 357 35 the the DT A34005 357 36 Thread thread NN A34005 357 37 in in IN A34005 357 38 the the DT A34005 357 39 Limb Limb NNP A34005 357 40 sheweth sheweth VBD A34005 357 41 the the DT A34005 357 42 hour hour NN A34005 357 43 of of IN A34005 357 44 the the DT A34005 357 45 Day day NN A34005 357 46 , , , A34005 357 47 and and CC A34005 357 48 the the DT A34005 357 49 Bead Bead NNP A34005 357 50 amongst amongst IN A34005 357 51 the the DT A34005 357 52 Azimuths azimuth NNS A34005 357 53 sheweth sheweth VBP A34005 357 54 the the DT A34005 357 55 Azimuth Azimuth NNP A34005 357 56 of of IN A34005 357 57 the the DT A34005 357 58 Sun Sun NNP A34005 357 59 . . . A34005 358 1 Example example NN A34005 358 2 . . . A34005 359 1 So so RB A34005 359 2 about about RB A34005 359 3 the the DT A34005 359 4 18 18 CD A34005 359 5 of of IN A34005 359 6 October October NNP A34005 359 7 , , , A34005 359 8 when when WRB A34005 359 9 the the DT A34005 359 10 Suns Suns NNP A34005 359 11 Declination Declination NNP A34005 359 12 is be VBZ A34005 359 13 13d 13d CD A34005 359 14 20′ 20′ CD A34005 359 15 South South NNP A34005 359 16 if if IN A34005 359 17 his -PRON- PRP$ A34005 359 18 observed observed JJ A34005 359 19 Altitude altitude NN A34005 359 20 were be VBD A34005 359 21 18d 18d CD A34005 359 22 the the DT A34005 359 23 true true JJ A34005 359 24 time time NN A34005 359 25 of of IN A34005 359 26 the the DT A34005 359 27 day day NN A34005 359 28 would would MD A34005 359 29 be be VB A34005 359 30 found find VBN A34005 359 31 to to TO A34005 359 32 be be VB A34005 359 33 either either CC A34005 359 34 36 36 CD A34005 359 35 minutes minute NNS A34005 359 36 after after IN A34005 359 37 9 9 CD A34005 359 38 or or CC A34005 359 39 24 24 CD A34005 359 40 minutes minute NNS A34005 359 41 past past IN A34005 359 42 2 2 CD A34005 359 43 and and CC A34005 359 44 his -PRON- PRP$ A34005 359 45 Azimuth azimuth NN A34005 359 46 would would MD A34005 359 47 be be VB A34005 359 48 37 37 CD A34005 359 49 degrees degree NNS A34005 359 50 from from IN A34005 359 51 the the DT A34005 359 52 South South NNP A34005 359 53 . . . A34005 360 1 To to TO A34005 360 2 finde finde VB A34005 360 3 the the DT A34005 360 4 Hour Hour NNP A34005 360 5 of of IN A34005 360 6 the the DT A34005 360 7 Day day NN A34005 360 8 , , , A34005 360 9 and and CC A34005 360 10 the the DT A34005 360 11 Azimuth Azimuth NNP A34005 360 12 of of IN A34005 360 13 the the DT A34005 360 14 Sun Sun NNP A34005 360 15 at at IN A34005 360 16 any any DT A34005 360 17 time time NN A34005 360 18 in in IN A34005 360 19 the the DT A34005 360 20 Summer Summer NNP A34005 360 21 half half NN A34005 360 22 year year NN A34005 360 23 . . . A34005 361 1 IT it PRP A34005 361 2 was be VBD A34005 361 3 before before RB A34005 361 4 intimated intimate VBN A34005 361 5 , , , A34005 361 6 That that IN A34005 361 7 if if IN A34005 361 8 the the DT A34005 361 9 question question NN A34005 361 10 were be VBD A34005 361 11 put put VBN A34005 361 12 when when WRB A34005 361 13 the the DT A34005 361 14 Sun Sun NNP A34005 361 15 hath hath NN A34005 361 16 less less JJR A34005 361 17 Altitude altitude NN A34005 361 18 then then RB A34005 361 19 he -PRON- PRP A34005 361 20 hath hath VBP A34005 361 21 at at IN A34005 361 22 the the DT A34005 361 23 hour hour NN A34005 361 24 of of IN A34005 361 25 6 6 CD A34005 361 26 of of IN A34005 361 27 the the DT A34005 361 28 clock clock NN A34005 361 29 , , , A34005 361 30 that that IN A34005 361 31 then then RB A34005 361 32 the the DT A34005 361 33 Operation operation NN A34005 361 34 must must MD A34005 361 35 be be VB A34005 361 36 performed perform VBN A34005 361 37 among among IN A34005 361 38 those those DT A34005 361 39 Parralels Parralels NNPS A34005 361 40 above above IN A34005 361 41 the the DT A34005 361 42 upper upper JJ A34005 361 43 Horizon Horizon NNP A34005 361 44 , , , A34005 361 45 in in IN A34005 361 46 the the DT A34005 361 47 reverted reverted JJ A34005 361 48 Tail Tail NNP A34005 361 49 , , , A34005 361 50 the the DT A34005 361 51 Bead Bead NNP A34005 361 52 being be VBG A34005 361 53 rectified rectified JJ A34005 361 54 to to IN A34005 361 55 the the DT A34005 361 56 Winter Winter NNP A34005 361 57 Ecliptick Ecliptick NNP A34005 361 58 ; ; : A34005 361 59 and and CC A34005 361 60 that that IN A34005 361 61 it -PRON- PRP A34005 361 62 might may MD A34005 361 63 be be VB A34005 361 64 known know VBN A34005 361 65 what what WP A34005 361 66 Altitude altitude NN A34005 361 67 the the DT A34005 361 68 Sun Sun NNP A34005 361 69 shall shall MD A34005 361 70 have have VB A34005 361 71 at at IN A34005 361 72 6 6 CD A34005 361 73 of of IN A34005 361 74 the the DT A34005 361 75 clock clock NN A34005 361 76 , , , A34005 361 77 by by IN A34005 361 78 bringing bring VBG A34005 361 79 the the DT A34005 361 80 Bead Bead NNP A34005 361 81 rectified rectified JJ A34005 361 82 to to IN A34005 361 83 the the DT A34005 361 84 Summer Summer NNP A34005 361 85 Ecliptick Ecliptick NNP A34005 361 86 , , , A34005 361 87 to to IN A34005 361 88 the the DT A34005 361 89 left left JJ A34005 361 90 edge edge NN A34005 361 91 of of IN A34005 361 92 the the DT A34005 361 93 Quadrant Quadrant NNP A34005 361 94 . . . A34005 362 1 So so RB A34005 362 2 admitting admit VBG A34005 362 3 the the DT A34005 362 4 Sun Sun NNP A34005 362 5 to to TO A34005 362 6 have have VB A34005 362 7 16d 16d NNS A34005 362 8 of of IN A34005 362 9 North North NNP A34005 362 10 Declination Declination NNP A34005 362 11 , , , A34005 362 12 which which WDT A34005 362 13 will will MD A34005 362 14 be be VB A34005 362 15 about about IN A34005 362 16 the the DT A34005 362 17 24 24 CD A34005 362 18 April April NNP A34005 362 19 , , , A34005 362 20 I -PRON- PRP A34005 362 21 might may MD A34005 362 22 finde finde VB A34005 362 23 his -PRON- PRP$ A34005 362 24 Altitude altitude NN A34005 362 25 at at IN A34005 362 26 6 6 CD A34005 362 27 of of IN A34005 362 28 the the DT A34005 362 29 Clock Clock NNP A34005 362 30 by by IN A34005 362 31 bringing bring VBG A34005 362 32 the the DT A34005 362 33 Bead Bead NNP A34005 362 34 rectified rectified JJ A34005 362 35 to to IN A34005 362 36 the the DT A34005 362 37 Summer Summer NNP A34005 362 38 Ecliptick Ecliptick NNP A34005 362 39 to to IN A34005 362 40 the the DT A34005 362 41 left left JJ A34005 362 42 edge edge NN A34005 362 43 of of IN A34005 362 44 the the DT A34005 362 45 Quadrant Quadrant NNP A34005 362 46 ; ; : A34005 362 47 to to TO A34005 362 48 be be VB A34005 362 49 12d 12d $ A34005 362 50 28 28 CD A34005 362 51 m m CD A34005 362 52 whence whence NN A34005 362 53 I -PRON- PRP A34005 362 54 conclude conclude VBP A34005 362 55 , , , A34005 362 56 if if IN A34005 362 57 his -PRON- PRP$ A34005 362 58 Altitude altitude NN A34005 362 59 be be VBP A34005 362 60 less less JJR A34005 362 61 , , , A34005 362 62 the the DT A34005 362 63 Bead Bead NNP A34005 362 64 must must MD A34005 362 65 be be VB A34005 362 66 rectified rectified JJ A34005 362 67 to to IN A34005 362 68 the the DT A34005 362 69 Winter Winter NNP A34005 362 70 Ecliptick Ecliptick NNP A34005 362 71 , , , A34005 362 72 and and CC A34005 362 73 be be VB A34005 362 74 brought bring VBN A34005 362 75 to to IN A34005 362 76 those those DT A34005 362 77 Parralels parralel NNS A34005 362 78 above above IN A34005 362 79 the the DT A34005 362 80 upper upper JJ A34005 362 81 Horizon Horizon NNP A34005 362 82 ; ; : A34005 362 83 and and CC A34005 362 84 it -PRON- PRP A34005 362 85 may may MD A34005 362 86 be be VB A34005 362 87 noted note VBN A34005 362 88 , , , A34005 362 89 that that IN A34005 362 90 the the DT A34005 362 91 Suns Suns NNPS A34005 362 92 Altitude Altitude NNP A34005 362 93 at at IN A34005 362 94 6 6 CD A34005 362 95 is be VBZ A34005 362 96 always always RB A34005 362 97 less less JJR A34005 362 98 then then RB A34005 362 99 his -PRON- PRP$ A34005 362 100 declination declination NN A34005 362 101 . . . A34005 363 1 Example example NN A34005 363 2 . . . A34005 364 1 Admit admit VB A34005 364 2 the the DT A34005 364 3 24th 24th NN A34005 364 4 of of IN A34005 364 5 April April NNP A34005 364 6 aforesaid aforesaid VBD A34005 364 7 the the DT A34005 364 8 Suns Suns NNPS A34005 364 9 observed observe VBD A34005 364 10 Altitude altitude NN A34005 364 11 were be VBD A34005 364 12 7d 7d NNS A34005 364 13 laying lay VBG A34005 364 14 the the DT A34005 364 15 Thread Thread NNP A34005 364 16 over over IN A34005 364 17 the the DT A34005 364 18 Suns Suns NNPS A34005 364 19 Declination Declination NNP A34005 364 20 , , , A34005 364 21 or or CC A34005 364 22 the the DT A34005 364 23 day day NN A34005 364 24 of of IN A34005 364 25 the the DT A34005 364 26 month month NN A34005 364 27 ; ; : A34005 364 28 I -PRON- PRP A34005 364 29 rectifie rectifie VBP A34005 364 30 the the DT A34005 364 31 Bead Bead NNP A34005 364 32 to to IN A34005 364 33 the the DT A34005 364 34 Winter Winter NNP A34005 364 35 Ecliptick Ecliptick NNP A34005 364 36 , , , A34005 364 37 and and CC A34005 364 38 bring bring VB A34005 364 39 it -PRON- PRP A34005 364 40 to to IN A34005 364 41 the the DT A34005 364 42 said say VBN A34005 364 43 Parralel Parralel NNP A34005 364 44 of of IN A34005 364 45 Altitude altitude NN A34005 364 46 above above IN A34005 364 47 the the DT A34005 364 48 upper upper JJ A34005 364 49 Horizon Horizon NNP A34005 364 50 ; ; : A34005 364 51 and and CC A34005 364 52 the the DT A34005 364 53 Thread Thread NNP A34005 364 54 intersects intersect VBZ A34005 364 55 the the DT A34005 364 56 Limb Limb NNP A34005 364 57 at at IN A34005 364 58 9d 9d NN A34005 364 59 3 3 CD A34005 364 60 m m NN A34005 364 61 shewing shew VBG A34005 364 62 the the DT A34005 364 63 hour hour NN A34005 364 64 of of IN A34005 364 65 the the DT A34005 364 66 day day NN A34005 364 67 to to TO A34005 364 68 be be VB A34005 364 69 24 24 CD A34005 364 70 minutes minute NNS A34005 364 71 past past IN A34005 364 72 5 5 CD A34005 364 73 in in IN A34005 364 74 the the DT A34005 364 75 morning morning NN A34005 364 76 , , , A34005 364 77 or or CC A34005 364 78 36′ 36′ CD A34005 364 79 past past JJ A34005 364 80 6 6 CD A34005 364 81 in in IN A34005 364 82 the the DT A34005 364 83 evening evening NN A34005 364 84 , , , A34005 364 85 and and CC A34005 364 86 the the DT A34005 364 87 Bead Bead NNP A34005 364 88 amongst amongst IN A34005 364 89 the the DT A34005 364 90 Azimuths Azimuths NNP A34005 364 91 shews shew VBZ A34005 364 92 the the DT A34005 364 93 Azimuth Azimuth NNP A34005 364 94 or or CC A34005 364 95 Coast Coast NNP A34005 364 96 of of IN A34005 364 97 the the DT A34005 364 98 Sun Sun NNP A34005 364 99 to to TO A34005 364 100 be be VB A34005 364 101 107d 107d NNS A34005 364 102 from from IN A34005 364 103 the the DT A34005 364 104 South South NNP A34005 364 105 . . . A34005 365 1 Another another DT A34005 365 2 Example example NN A34005 365 3 . . . A34005 366 1 But but CC A34005 366 2 admitting admit VBG A34005 366 3 the the DT A34005 366 4 Sun Sun NNP A34005 366 5 to to TO A34005 366 6 have have VB A34005 366 7 more more JJR A34005 366 8 Altitude altitude NN A34005 366 9 then then RB A34005 366 10 he -PRON- PRP A34005 366 11 hath hath VBP A34005 366 12 at at IN A34005 366 13 the the DT A34005 366 14 hour hour NN A34005 366 15 of of IN A34005 366 16 6 6 CD A34005 366 17 , , , A34005 366 18 the the DT A34005 366 19 Operation operation NN A34005 366 20 notwithstanding notwithstanding IN A34005 366 21 differs differ VBZ A34005 366 22 not not RB A34005 366 23 from from IN A34005 366 24 the the DT A34005 366 25 former former JJ A34005 366 26 , , , A34005 366 27 but but CC A34005 366 28 only only RB A34005 366 29 in in IN A34005 366 30 rectifying rectify VBG A34005 366 31 the the DT A34005 366 32 Bead Bead NNP A34005 366 33 , , , A34005 366 34 which which WDT A34005 366 35 must must MD A34005 366 36 be be VB A34005 366 37 set set VBN A34005 366 38 to to IN A34005 366 39 the the DT A34005 366 40 Summer Summer NNP A34005 366 41 Ecliptick Ecliptick NNP A34005 366 42 , , , A34005 366 43 and and CC A34005 366 44 then then RB A34005 366 45 carried carry VBD A34005 366 46 to to IN A34005 366 47 the the DT A34005 366 48 Parralel Parralel NNP A34005 366 49 of of IN A34005 366 50 the the DT A34005 366 51 Suns Suns NNPS A34005 366 52 observed observe VBD A34005 366 53 Altitude altitude NN A34005 366 54 , , , A34005 366 55 and and CC A34005 366 56 the the DT A34005 366 57 Thread thread NN A34005 366 58 will will MD A34005 366 59 intersect intersect VB A34005 366 60 the the DT A34005 366 61 Limb Limb NNP A34005 366 62 at at IN A34005 366 63 the the DT A34005 366 64 true true JJ A34005 366 65 time time NN A34005 366 66 of of IN A34005 366 67 the the DT A34005 366 68 day day NN A34005 366 69 , , , A34005 366 70 and and CC A34005 366 71 the the DT A34005 366 72 Bead Bead NNP A34005 366 73 amongst amongst IN A34005 366 74 the the DT A34005 366 75 Azimuths azimuth NNS A34005 366 76 sheweth sheweth VBP A34005 366 77 the the DT A34005 366 78 true true JJ A34005 366 79 Coast Coast NNP A34005 366 80 of of IN A34005 366 81 the the DT A34005 366 82 Sun Sun NNP A34005 366 83 . . . A34005 367 1 So so CC A34005 367 2 upon upon IN A34005 367 3 the the DT A34005 367 4 24th 24th NN A34005 367 5 of of IN A34005 367 6 April April NNP A34005 367 7 aforesaid aforesaid VBD A34005 367 8 , , , A34005 367 9 the the DT A34005 367 10 Suns Suns NNPS A34005 367 11 observed observe VBD A34005 367 12 Altitude altitude NN A34005 367 13 being being NN A34005 367 14 45d 45d NNS A34005 367 15 , , , A34005 367 16 I -PRON- PRP A34005 367 17 bring bring VBP A34005 367 18 the the DT A34005 367 19 Bead Bead NNP A34005 367 20 rectified rectified JJ A34005 367 21 to to IN A34005 367 22 the the DT A34005 367 23 Summer Summer NNP A34005 367 24 Ecliptick Ecliptick NNP A34005 367 25 , , , A34005 367 26 to to IN A34005 367 27 the the DT A34005 367 28 said say VBN A34005 367 29 Parralel Parralel NNP A34005 367 30 of of IN A34005 367 31 Altitude Altitude NNP A34005 367 32 , , , A34005 367 33 and and CC A34005 367 34 the the DT A34005 367 35 Thread Thread NNP A34005 367 36 intersects intersect VBZ A34005 367 37 the the DT A34005 367 38 Limb Limb NNP A34005 367 39 at at IN A34005 367 40 55d 55d CD A34005 367 41 15 15 CD A34005 367 42 m m NN A34005 367 43 shewing shew VBG A34005 367 44 the the DT A34005 367 45 hour hour NN A34005 367 46 to to TO A34005 367 47 be be VB A34005 367 48 either either CC A34005 367 49 41 41 CD A34005 367 50 m m NN A34005 367 51 past past JJ A34005 367 52 9 9 CD A34005 367 53 in in IN A34005 367 54 the the DT A34005 367 55 morning morning NN A34005 367 56 , , , A34005 367 57 or or CC A34005 367 58 19 19 CD A34005 367 59 m m NN A34005 367 60 past past JJ A34005 367 61 2 2 CD A34005 367 62 in in IN A34005 367 63 the the DT A34005 367 64 ofternoon ofternoon NN A34005 367 65 ; ; : A34005 367 66 to to TO A34005 367 67 be be VB A34005 367 68 known know VBN A34005 367 69 which which WDT A34005 367 70 by by IN A34005 367 71 the the DT A34005 367 72 increasing increase VBG A34005 367 73 or or CC A34005 367 74 decreasing decreasing NN A34005 367 75 of of IN A34005 367 76 the the DT A34005 367 77 Altitude altitude NN A34005 367 78 , , , A34005 367 79 and and CC A34005 367 80 the the DT A34005 367 81 Bead Bead NNP A34005 367 82 amongst amongst IN A34005 367 83 the the DT A34005 367 84 Azimuths Azimuths NNP A34005 367 85 shews shew VBZ A34005 367 86 the the DT A34005 367 87 Azimuth Azimuth NNP A34005 367 88 or or CC A34005 367 89 true true JJ A34005 367 90 Coast coast NN A34005 367 91 of of IN A34005 367 92 the the DT A34005 367 93 Sun Sun NNP A34005 367 94 to to TO A34005 367 95 be be VB A34005 367 96 50d 50d NNS A34005 367 97 40 40 CD A34005 367 98 ● ● NFP A34005 367 99 from from IN A34005 367 100 the the DT A34005 367 101 South South NNP A34005 367 102 : : : A34005 367 103 Another Another NNP A34005 367 104 Example Example NNP A34005 367 105 . . . A34005 368 1 Admit admit VB A34005 368 2 when when WRB A34005 368 3 the the DT A34005 368 4 Sun Sun NNP A34005 368 5 hath hath NNP A34005 368 6 19d 19d NNS A34005 368 7 13 13 CD A34005 368 8 m m NN A34005 368 9 of of IN A34005 368 10 North North NNP A34005 368 11 Declination Declination NNP A34005 368 12 which which WDT A34005 368 13 will will MD A34005 368 14 be be VB A34005 368 15 about about IN A34005 368 16 the the DT A34005 368 17 6th 6th NN A34005 368 18 of of IN A34005 368 19 May May NNP A34005 368 20 , , , A34005 368 21 his -PRON- PRP$ A34005 368 22 observed observed JJ A34005 368 23 Altitude altitude NN A34005 368 24 were be VBD A34005 368 25 56d 56d NNS A34005 368 26 the the DT A34005 368 27 Bead Bead NNP A34005 368 28 being be VBG A34005 368 29 set set VBN A34005 368 30 to to IN A34005 368 31 the the DT A34005 368 32 Summer Summer NNP A34005 368 33 Ecliptick Ecliptick NNP A34005 368 34 , , , A34005 368 35 and and CC A34005 368 36 brought bring VBD A34005 368 37 to to IN A34005 368 38 that that DT A34005 368 39 Parralel Parralel NNP A34005 368 40 of of IN A34005 368 41 Altitude altitude NN A34005 368 42 amongst amongst IN A34005 368 43 the the DT A34005 368 44 Azimuths Azimuths NNP A34005 368 45 shews shew VBZ A34005 368 46 the the DT A34005 368 47 Suns Suns NNPS A34005 368 48 true true JJ A34005 368 49 Coast Coast NNP A34005 368 50 to to TO A34005 368 51 be be VB A34005 368 52 23d 23d NNS A34005 368 53 from from IN A34005 368 54 the the DT A34005 368 55 South South NNP A34005 368 56 , , , A34005 368 57 Eastwards eastward NNS A34005 368 58 in in IN A34005 368 59 the the DT A34005 368 60 forenoon forenoon NN A34005 368 61 , , , A34005 368 62 and and CC A34005 368 63 Westwards Westwards NNPS A34005 368 64 in in IN A34005 368 65 the the DT A34005 368 66 afternoon afternoon NN A34005 368 67 , , , A34005 368 68 and and CC A34005 368 69 the the DT A34005 368 70 Thread thread NN A34005 368 71 in in IN A34005 368 72 the the DT A34005 368 73 Limb Limb NNP A34005 368 74 sheweth sheweth VBD A34005 368 75 the the DT A34005 368 76 true true JJ A34005 368 77 time time NN A34005 368 78 of of IN A34005 368 79 the the DT A34005 368 80 day day NN A34005 368 81 to to TO A34005 368 82 be be VB A34005 368 83 either either CC A34005 368 84 7′ 7′ CD A34005 368 85 past past IN A34005 368 86 11 11 CD A34005 368 87 in in IN A34005 368 88 the the DT A34005 368 89 forenoon forenoon NN A34005 368 90 , , , A34005 368 91 or or CC A34005 368 92 5 5 CD A34005 368 93 ● ● SYM A34005 368 94 m m CD A34005 368 95 past past IN A34005 368 96 12 12 CD A34005 368 97 . . . A34005 369 1 The the DT A34005 369 2 Depression Depression NNP A34005 369 3 of of IN A34005 369 4 the the DT A34005 369 5 Sun Sun NNP A34005 369 6 supposed suppose VBD A34005 369 7 to to TO A34005 369 8 find find VB A34005 369 9 the the DT A34005 369 10 true true JJ A34005 369 11 time time NN A34005 369 12 of of IN A34005 369 13 the the DT A34005 369 14 night night NN A34005 369 15 with with IN A34005 369 16 us -PRON- PRP A34005 369 17 , , , A34005 369 18 or or CC A34005 369 19 the the DT A34005 369 20 hour hour NN A34005 369 21 of of IN A34005 369 22 the the DT A34005 369 23 day day NN A34005 369 24 to to IN A34005 369 25 our -PRON- PRP$ A34005 369 26 Antipodes antipode NNS A34005 369 27 ; ; : A34005 369 28 As as IN A34005 369 29 also also RB A34005 369 30 the the DT A34005 369 31 true true JJ A34005 369 32 Coast Coast NNP A34005 369 33 of of IN A34005 369 34 the the DT A34005 369 35 Sun Sun NNP A34005 369 36 upon upon IN A34005 369 37 that that DT A34005 369 38 Depression Depression NNP A34005 369 39 . . . A34005 370 1 THis this DT A34005 370 2 Proposition proposition NN A34005 370 3 may may MD A34005 370 4 be be VB A34005 370 5 of of IN A34005 370 6 use use NN A34005 370 7 to to TO A34005 370 8 know know VB A34005 370 9 when when WRB A34005 370 10 the the DT A34005 370 11 Twilight Twilight NNP A34005 370 12 begins begin VBZ A34005 370 13 or or CC A34005 370 14 ends end VBZ A34005 370 15 , , , A34005 370 16 which which WDT A34005 370 17 is be VBZ A34005 370 18 always always RB A34005 370 19 held hold VBN A34005 370 20 to to TO A34005 370 21 be be VB A34005 370 22 when when WRB A34005 370 23 the the DT A34005 370 24 Sun Sun NNP A34005 370 25 hath hath NNP A34005 370 26 18d 18d NNS A34005 370 27 of of IN A34005 370 28 Depression depression NN A34005 370 29 under under IN A34005 370 30 the the DT A34005 370 31 Horizon Horizon NNP A34005 370 32 , , , A34005 370 33 to to TO A34005 370 34 perform perform VB A34005 370 35 this this DT A34005 370 36 , , , A34005 370 37 Imagine imagine VB A34005 370 38 as as RB A34005 370 39 much much JJ A34005 370 40 Declination declination NN A34005 370 41 on on IN A34005 370 42 the the DT A34005 370 43 contrary contrary JJ A34005 370 44 side side NN A34005 370 45 the the DT A34005 370 46 Equinoctial equinoctial JJ A34005 370 47 , , , A34005 370 48 as as IN A34005 370 49 the the DT A34005 370 50 Declination Declination NNP A34005 370 51 given give VBN A34005 370 52 , , , A34005 370 53 and and CC A34005 370 54 find find VB A34005 370 55 the the DT A34005 370 56 time time NN A34005 370 57 of of IN A34005 370 58 the the DT A34005 370 59 Day day NN A34005 370 60 , , , A34005 370 61 as as IN A34005 370 62 if if IN A34005 370 63 the the DT A34005 370 64 Suns Suns NNPS A34005 370 65 Altitude Altitude NNP A34005 370 66 were be VBD A34005 370 67 18d 18d NNS A34005 370 68 So so CC A34005 370 69 when when WRB A34005 370 70 the the DT A34005 370 71 Suns Suns NNPS A34005 370 72 Declination Declination NNP A34005 370 73 is be VBZ A34005 370 74 16d 16d NNPS A34005 370 75 North North NNP A34005 370 76 , , , A34005 370 77 as as IN A34005 370 78 about about IN A34005 370 79 the the DT A34005 370 80 24th 24th NN A34005 370 81 of of IN A34005 370 82 April April NNP A34005 370 83 , , , A34005 370 84 laying lay VBG A34005 370 85 the the DT A34005 370 86 Thread thread NN A34005 370 87 over over IN A34005 370 88 it -PRON- PRP A34005 370 89 I -PRON- PRP A34005 370 90 rectifie rectifie VBP A34005 370 91 the the DT A34005 370 92 Bead Bead NNP A34005 370 93 to to IN A34005 370 94 the the DT A34005 370 95 Winter Winter NNP A34005 370 96 Ecliptick Ecliptick NNP A34005 370 97 , , , A34005 370 98 and and CC A34005 370 99 bringing bring VBG A34005 370 100 it -PRON- PRP A34005 370 101 to to IN A34005 370 102 the the DT A34005 370 103 Parralel Parralel NNP A34005 370 104 of of IN A34005 370 105 18d 18d NNS A34005 370 106 the the DT A34005 370 107 Thread thread NN A34005 370 108 in in IN A34005 370 109 the the DT A34005 370 110 Limb Limb NNP A34005 370 111 shew shew NN A34005 370 112 the the DT A34005 370 113 Twilight Twilight NNP A34005 370 114 to to TO A34005 370 115 begin begin VB A34005 370 116 at at IN A34005 370 117 54 54 CD A34005 370 118 m m NN A34005 370 119 past past IN A34005 370 120 1 1 CD A34005 370 121 in in IN A34005 370 122 the the DT A34005 370 123 morning morning NN A34005 370 124 , , , A34005 370 125 and and CC A34005 370 126 ends end VBZ A34005 370 127 at at IN A34005 370 128 6′ 6′ CD A34005 370 129 past past JJ A34005 370 130 10 10 CD A34005 370 131 at at IN A34005 370 132 night night NN A34005 370 133 , , , A34005 370 134 and and CC A34005 370 135 the the DT A34005 370 136 Azimuth Azimuth NNP A34005 370 137 of of IN A34005 370 138 the the DT A34005 370 139 Sun Sun NNP A34005 370 140 to to TO A34005 370 141 be be VB A34005 370 142 28d 28d NNS A34005 370 143 58′ 58′ CD A34005 370 144 which which WDT A34005 370 145 in in IN A34005 370 146 this this DT A34005 370 147 Case Case NNP A34005 370 148 is be VBZ A34005 370 149 to to TO A34005 370 150 be be VB A34005 370 151 accounted account VBN A34005 370 152 from from IN A34005 370 153 the the DT A34005 370 154 North North NNP A34005 370 155 . . . A34005 371 1 But but CC A34005 371 2 if if IN A34005 371 3 the the DT A34005 371 4 Suns Suns NNPS A34005 371 5 greatest great JJS A34005 371 6 Depression Depression NNP A34005 371 7 at at IN A34005 371 8 night night NN A34005 371 9 be be VB A34005 371 10 less less JJR A34005 371 11 then then RB A34005 371 12 18d 18d NNS A34005 371 13 as as IN A34005 371 14 that that IN A34005 371 15 it -PRON- PRP A34005 371 16 may may MD A34005 371 17 be be VB A34005 371 18 in in IN A34005 371 19 any any DT A34005 371 20 Latitude Latitude NNP A34005 371 21 where where WRB A34005 371 22 the the DT A34005 371 23 Meridian Meridian NNP A34005 371 24 Altitude Altitude NNP A34005 371 25 at at IN A34005 371 26 any any DT A34005 371 27 time time NN A34005 371 28 in in IN A34005 371 29 Winter Winter NNP A34005 371 30 or or CC A34005 371 31 the the DT A34005 371 32 opposite opposite JJ A34005 371 33 Signe Signe NNP A34005 371 34 is be VBZ A34005 371 35 less less JJR A34005 371 36 then then RB A34005 371 37 18d 18d NNS A34005 371 38 there there EX A34005 371 39 is be VBZ A34005 371 40 no no DT A34005 371 41 dark dark JJ A34005 371 42 night night NN A34005 371 43 which which WDT A34005 371 44 in in IN A34005 371 45 our -PRON- PRP$ A34005 371 46 Latitude Latitude NNP A34005 371 47 of of IN A34005 371 48 London London NNP A34005 371 49 will will MD A34005 371 50 be be VB A34005 371 51 from from IN A34005 371 52 the the DT A34005 371 53 12th 12th NN A34005 371 54 of of IN A34005 371 55 May May NNP A34005 371 56 to to IN A34005 371 57 the the DT A34005 371 58 11th 11th NN A34005 371 59 of of IN A34005 371 60 July July NNP A34005 371 61 . . . A34005 372 1 Of of IN A34005 372 2 the the DT A34005 372 3 Stars Stars NNPS A34005 372 4 graduated graduate VBD A34005 372 5 on on IN A34005 372 6 the the DT A34005 372 7 PROJECTION projection NN A34005 372 8 . . . A34005 373 1 SUch SUch NNP A34005 373 2 Stars Stars NNP A34005 373 3 as as IN A34005 373 4 are be VBP A34005 373 5 between between IN A34005 373 6 the the DT A34005 373 7 two two CD A34005 373 8 Tropicks tropick NNS A34005 373 9 only only RB A34005 373 10 , , , A34005 373 11 are be VBP A34005 373 12 there there EX A34005 373 13 inscribed inscribe VBN A34005 373 14 , , , A34005 373 15 and and CC A34005 373 16 such such JJ A34005 373 17 haue haue JJ A34005 373 18 many many JJ A34005 373 19 things thing NNS A34005 373 20 common common JJ A34005 373 21 in in IN A34005 373 22 their -PRON- PRP$ A34005 373 23 Motion motion NN A34005 373 24 with with IN A34005 373 25 the the DT A34005 373 26 Sun Sun NNP A34005 373 27 when when WRB A34005 373 28 he -PRON- PRP A34005 373 29 hath hath VBP A34005 373 30 the the DT A34005 373 31 like like JJ A34005 373 32 Declination Declination NNP A34005 373 33 , , , A34005 373 34 as as IN A34005 373 35 the the DT A34005 373 36 same same JJ A34005 373 37 Amplitude Amplitude NNP A34005 373 38 , , , A34005 373 39 Semidiurnal Semidiurnal NNP A34005 373 40 , , , A34005 373 41 Arke Arke NNP A34005 373 42 , , , A34005 373 43 Meridian Meridian NNP A34005 373 44 , , , A34005 373 45 Altitude Altitude NNP A34005 373 46 , , , A34005 373 47 Ascentional ascentional JJ A34005 373 48 difference difference NN A34005 373 49 , , , A34005 373 50 & & CC A34005 373 51 c. c. NNP A34005 373 52 These these DT A34005 373 53 Stars star NNS A34005 373 54 have have VBP A34005 373 55 Letters letter NNS A34005 373 56 set set VBN A34005 373 57 to to IN A34005 373 58 them -PRON- PRP A34005 373 59 to to TO A34005 373 60 direct direct VB A34005 373 61 to to IN A34005 373 62 the the DT A34005 373 63 Circle Circle NNP A34005 373 64 of of IN A34005 373 65 Ascensions Ascensions NNPS A34005 373 66 on on IN A34005 373 67 the the DT A34005 373 68 back back NN A34005 373 69 of of IN A34005 373 70 the the DT A34005 373 71 Quadrant Quadrant NNP A34005 373 72 , , , A34005 373 73 where where WRB A34005 373 74 the the DT A34005 373 75 quantity quantity NN A34005 373 76 of of IN A34005 373 77 their -PRON- PRP$ A34005 373 78 right right JJ A34005 373 79 Ascension Ascension NNP A34005 373 80 , , , A34005 373 81 is be VBZ A34005 373 82 expressed express VBN A34005 373 83 from from IN A34005 373 84 one one CD A34005 373 85 of of IN A34005 373 86 the the DT A34005 373 87 Equinoctial equinoctial JJ A34005 373 88 points point NNS A34005 373 89 ; ; : A34005 373 90 those those DT A34005 373 91 that that WDT A34005 373 92 have have VBP A34005 373 93 more more JJR A34005 373 94 Ascension ascension NN A34005 373 95 then then RB A34005 373 96 12 12 CD A34005 373 97 hours hour NNS A34005 373 98 from from IN A34005 373 99 the the DT A34005 373 100 point point NN A34005 373 101 of of IN A34005 373 102 Aries Aries NNPS A34005 373 103 , , , A34005 373 104 are be VBP A34005 373 105 known know VBN A34005 373 106 by by IN A34005 373 107 the the DT A34005 373 108 Character Character NNP A34005 373 109 plus plus CC A34005 373 110 + + CC A34005 373 111 set set NN A34005 373 112 to to IN A34005 373 113 them -PRON- PRP A34005 373 114 ; ; : A34005 373 115 many many JJ A34005 373 116 more more JJR A34005 373 117 Stars star NNS A34005 373 118 might may MD A34005 373 119 be be VB A34005 373 120 there there RB A34005 373 121 inserted insert VBN A34005 373 122 , , , A34005 373 123 but but CC A34005 373 124 if if IN A34005 373 125 they -PRON- PRP A34005 373 126 have have VBP A34005 373 127 more more JJR A34005 373 128 then then RB A34005 373 129 23d 23d CD A34005 373 130 31′ 31′ CD A34005 373 131 of of IN A34005 373 132 Declination Declination NNP A34005 373 133 , , , A34005 373 134 the the DT A34005 373 135 Propositions Propositions NNPS A34005 373 136 to to TO A34005 373 137 be be VB A34005 373 138 wrought work VBN A34005 373 139 concerning concern VBG A34005 373 140 them -PRON- PRP A34005 373 141 are be VBP A34005 373 142 to to TO A34005 373 143 be be VB A34005 373 144 performed perform VBN A34005 373 145 with with IN A34005 373 146 Compasses Compasses NNPS A34005 373 147 , , , A34005 373 148 by by IN A34005 373 149 the the DT A34005 373 150 general general JJ A34005 373 151 Lines Lines NNP A34005 373 152 on on IN A34005 373 153 the the DT A34005 373 154 Quadrant quadrant NN A34005 373 155 . . . A34005 374 1 To to TO A34005 374 2 find find VB A34005 374 3 the the DT A34005 374 4 true true JJ A34005 374 5 time time NN A34005 374 6 of of IN A34005 374 7 the the DT A34005 374 8 Day Day NNP A34005 374 9 or or CC A34005 374 10 Night Night NNP A34005 374 11 when when WRB A34005 374 12 any any DT A34005 374 13 Star Star NNP A34005 374 14 commeth commeth NN A34005 374 15 to to IN A34005 374 16 the the DT A34005 374 17 Meridian Meridian NNP A34005 374 18 . . . A34005 375 1 In in IN A34005 375 2 the the DT A34005 375 3 performing performing NN A34005 375 4 of of IN A34005 375 5 this this DT A34005 375 6 Proposition Proposition NNP A34005 375 7 we -PRON- PRP A34005 375 8 must must MD A34005 375 9 make make VB A34005 375 10 use use NN A34005 375 11 of of IN A34005 375 12 the the DT A34005 375 13 Suns Suns NNPS A34005 375 14 whole whole RB A34005 375 15 right right JJ A34005 375 16 Ascension ascension NN A34005 375 17 in in IN A34005 375 18 time time NN A34005 375 19 , , , A34005 375 20 which which WDT A34005 375 21 how how WRB A34005 375 22 that that DT A34005 375 23 might may MD A34005 375 24 be be VB A34005 375 25 known know VBN A34005 375 26 hath hath NN A34005 375 27 been be VBN A34005 375 28 already already RB A34005 375 29 treated treat VBN A34005 375 30 of of IN A34005 375 31 , , , A34005 375 32 as as IN A34005 375 33 also also RB A34005 375 34 of of IN A34005 375 35 the the DT A34005 375 36 Stars Stars NNPS A34005 375 37 whole whole JJ A34005 375 38 right right JJ A34005 375 39 Ascension ascension NN A34005 375 40 , , , A34005 375 41 which which WDT A34005 375 42 may may MD A34005 375 43 be be VB A34005 375 44 had have VBN A34005 375 45 from from IN A34005 375 46 the the DT A34005 375 47 Circle Circle NNP A34005 375 48 of of IN A34005 375 49 Ascensions Ascensions NNPS A34005 375 50 on on IN A34005 375 51 the the DT A34005 375 52 back back NN A34005 375 53 of of IN A34005 375 54 the the DT A34005 375 55 Quadrant Quadrant NNP A34005 375 56 if if IN A34005 375 57 12 12 CD A34005 375 58 hours hour NNS A34005 375 59 be be VB A34005 375 60 added add VBN A34005 375 61 to to IN A34005 375 62 the the DT A34005 375 63 right right JJ A34005 375 64 Ascension ascension NN A34005 375 65 of of IN A34005 375 66 a a DT A34005 375 67 Star Star NNP A34005 375 68 taken take VBN A34005 375 69 thence thence NN A34005 375 70 that that WDT A34005 375 71 hath hath VBP A34005 375 72 a a DT A34005 375 73 Letter Letter NNP A34005 375 74 Character Character NNP A34005 375 75 † † RB A34005 375 76 affixed affix VBD A34005 375 77 to to IN A34005 375 78 it -PRON- PRP A34005 375 79 . . . A34005 376 1 Substract substract VB A34005 376 2 the the DT A34005 376 3 Suns Suns NNPS A34005 376 4 whole whole RB A34005 376 5 right right JJ A34005 376 6 Ascension ascension NN A34005 376 7 from from IN A34005 376 8 the the DT A34005 376 9 Stars Stars NNPS A34005 376 10 whole whole JJ A34005 376 11 right right JJ A34005 376 12 Ascension ascension NN A34005 376 13 , , , A34005 376 14 encreased encrease VBN A34005 376 15 by by IN A34005 376 16 24 24 CD A34005 376 17 hours hour NNS A34005 376 18 when when WRB A34005 376 19 Substraction substraction NN A34005 376 20 can can MD A34005 376 21 not not RB A34005 376 22 be be VB A34005 376 23 made make VBN A34005 376 24 without without IN A34005 376 25 it -PRON- PRP A34005 376 26 , , , A34005 376 27 the the DT A34005 376 28 remainder remainder NN A34005 376 29 is be VBZ A34005 376 30 less less JJR A34005 376 31 then then RB A34005 376 32 12 12 CD A34005 376 33 shews shew NNS A34005 376 34 the the DT A34005 376 35 time time NN A34005 376 36 of of IN A34005 376 37 the the DT A34005 376 38 afternoon afternoon NN A34005 376 39 or or CC A34005 376 40 night night NN A34005 376 41 when when WRB A34005 376 42 the the DT A34005 376 43 Star Star NNP A34005 376 44 will will MD A34005 376 45 be be VB A34005 376 46 upon upon IN A34005 376 47 the the DT A34005 376 48 Meridian Meridian NNP A34005 376 49 ; ; : A34005 376 50 but but CC A34005 376 51 if if IN A34005 376 52 there there EX A34005 376 53 remain remain VBP A34005 376 54 more more JJR A34005 376 55 then then IN A34005 376 56 12 12 CD A34005 376 57 , , , A34005 376 58 reject reject VBP A34005 376 59 12 12 CD A34005 376 60 out out IN A34005 376 61 of of IN A34005 376 62 it -PRON- PRP A34005 376 63 and and CC A34005 376 64 the the DT A34005 376 65 residue residue NN A34005 376 66 shews shew VBZ A34005 376 67 the the DT A34005 376 68 time time NN A34005 376 69 of of IN A34005 376 70 the the DT A34005 376 71 next next JJ A34005 376 72 morning morning NN A34005 376 73 when when WRB A34005 376 74 that that IN A34005 376 75 Star Star NNP A34005 376 76 will will MD A34005 376 77 be be VB A34005 376 78 upon upon IN A34005 376 79 the the DT A34005 376 80 Meridian Meridian NNP A34005 376 81 . . . A34005 377 1 Example example NN A34005 377 2 . . . A34005 378 1 The the DT A34005 378 2 23d 23d NNS A34005 378 3 of of IN A34005 378 4 December December NNP A34005 378 5 the the DT A34005 378 6 Suns Suns NNPS A34005 378 7 whole whole RB A34005 378 8 right right JJ A34005 378 9 Ascension ascension NN A34005 378 10 is be VBZ A34005 378 11 18 18 CD A34005 378 12 hours hour NNS A34005 378 13 53′ 53′ CD A34005 378 14 which which WDT A34005 378 15 substracted substracte VBD A34005 378 16 from from IN A34005 378 17 4 4 CD A34005 378 18 ho ho NN A34005 378 19 : : : A34005 378 20 16′ 16′ CD A34005 378 21 the the DT A34005 378 22 right right JJ A34005 378 23 Ascension ascension NN A34005 378 24 of of IN A34005 378 25 the the DT A34005 378 26 Bulls Bulls NNP A34005 378 27 eye eye NN A34005 378 28 encreased encrease VBD A34005 378 29 by by IN A34005 378 30 24 24 CD A34005 378 31 there there EX A34005 378 32 remains remain VBZ A34005 378 33 9 9 CD A34005 378 34 h h NN A34005 378 35 23′ 23′ CD A34005 378 36 for for IN A34005 378 37 the the DT A34005 378 38 time time NN A34005 378 39 of of IN A34005 378 40 that that DT A34005 378 41 Stars star NNS A34005 378 42 comming comme VBG A34005 378 43 to to IN A34005 378 44 the the DT A34005 378 45 Meridian Meridian NNP A34005 378 46 , , , A34005 378 47 and and CC A34005 378 48 being be VBG A34005 378 49 substracted substracte VBN A34005 378 50 from from IN A34005 378 51 6 6 CD A34005 378 52 ho ho NN A34005 378 53 : : : A34005 378 54 30′ 30′ CD A34005 378 55 the the DT A34005 378 56 right right JJ A34005 378 57 Ascension ascension NN A34005 378 58 of of IN A34005 378 59 the the DT A34005 378 60 great great JJ A34005 378 61 Dogg Dogg NNP A34005 378 62 , , , A34005 378 63 there there EX A34005 378 64 rests rest VBZ A34005 378 65 11 11 CD A34005 378 66 ho ho IN A34005 378 67 : : : A34005 378 68 37′ 37′ CD A34005 378 69 for for IN A34005 378 70 the the DT A34005 378 71 time time NN A34005 378 72 of of IN A34005 378 73 that that DT A34005 378 74 Stars star NNS A34005 378 75 coming come VBG A34005 378 76 to to IN A34005 378 77 the the DT A34005 378 78 Meridian Meridian NNP A34005 378 79 at at IN A34005 378 80 night night NN A34005 378 81 . . . A34005 379 1 This this DT A34005 379 2 Proposition proposition NN A34005 379 3 is be VBZ A34005 379 4 of of IN A34005 379 5 good good JJ A34005 379 6 use use NN A34005 379 7 to to IN A34005 379 8 Sea Sea NNP A34005 379 9 - - HYPH A34005 379 10 men man NNS A34005 379 11 , , , A34005 379 12 who who WP A34005 379 13 have have VBP A34005 379 14 occasion occasion NN A34005 379 15 to to TO A34005 379 16 observe observe VB A34005 379 17 the the DT A34005 379 18 Latitude Latitude NNP A34005 379 19 by by IN A34005 379 20 the the DT A34005 379 21 Meridian Meridian NNP A34005 379 22 Altitude Altitude NNP A34005 379 23 of of IN A34005 379 24 a a DT A34005 379 25 Star Star NNP A34005 379 26 , , , A34005 379 27 that that IN A34005 379 28 they -PRON- PRP A34005 379 29 may may MD A34005 379 30 know know VB A34005 379 31 when when WRB A34005 379 32 will will MD A34005 379 33 be be VB A34005 379 34 a a DT A34005 379 35 fit fit JJ A34005 379 36 time time NN A34005 379 37 for for IN A34005 379 38 observation observation NN A34005 379 39 . . . A34005 380 1 In in IN A34005 380 2 finding find VBG A34005 380 3 the the DT A34005 380 4 time time NN A34005 380 5 of of IN A34005 380 6 the the DT A34005 380 7 Night Night NNP A34005 380 8 by by IN A34005 380 9 the the DT A34005 380 10 Stars star NNS A34005 380 11 , , , A34005 380 12 we -PRON- PRP A34005 380 13 use use VBP A34005 380 14 but but CC A34005 380 15 12 12 CD A34005 380 16 ho ho NN A34005 380 17 : : : A34005 380 18 of of IN A34005 380 19 right right JJ A34005 380 20 Ascension ascension NN A34005 380 21 , , , A34005 380 22 nor nor CC A34005 380 23 no no DT A34005 380 24 more more RBR A34005 380 25 in in IN A34005 380 26 finding find VBG A34005 380 27 the the DT A34005 380 28 time time NN A34005 380 29 of of IN A34005 380 30 their -PRON- PRP$ A34005 380 31 rising rise VBG A34005 380 32 or or CC A34005 380 33 setting set VBG A34005 380 34 , , , A34005 380 35 so so IN A34005 380 36 that that IN A34005 380 37 when when WRB A34005 380 38 it -PRON- PRP A34005 380 39 is be VBZ A34005 380 40 found find VBN A34005 380 41 whether whether IN A34005 380 42 it -PRON- PRP A34005 380 43 be be VBP A34005 380 44 morning morning NN A34005 380 45 or or CC A34005 380 46 evening evening NN A34005 380 47 is be VBZ A34005 380 48 left leave VBN A34005 380 49 to to IN A34005 380 50 judgement judgement NN A34005 380 51 , , , A34005 380 52 and and CC A34005 380 53 may may MD A34005 380 54 be be VB A34005 380 55 known know VBN A34005 380 56 by by IN A34005 380 57 comparing compare VBG A34005 380 58 it -PRON- PRP A34005 380 59 with with IN A34005 380 60 the the DT A34005 380 61 former former JJ A34005 380 62 Proposition Proposition NNP A34005 380 63 , , , A34005 380 64 if if IN A34005 380 65 there there EX A34005 380 66 be be VB A34005 380 67 need need NN A34005 380 68 so so RB A34005 380 69 to to TO A34005 380 70 do do VB A34005 380 71 . . . A34005 381 1 To to TO A34005 381 2 find find VB A34005 381 3 the the DT A34005 381 4 Declination declination NN A34005 381 5 of of IN A34005 381 6 any any DT A34005 381 7 of of IN A34005 381 8 these these DT A34005 381 9 Stars star NNS A34005 381 10 . . . A34005 382 1 This this DT A34005 382 2 is be VBZ A34005 382 3 engraven engraven VBN A34005 382 4 or or CC A34005 382 5 annexed annex VBN A34005 382 6 to to IN A34005 382 7 the the DT A34005 382 8 Stars Stars NNPS A34005 382 9 names name NNS A34005 382 10 , , , A34005 382 11 yet yet CC A34005 382 12 it -PRON- PRP A34005 382 13 may may MD A34005 382 14 be be VB A34005 382 15 found find VBN A34005 382 16 on on IN A34005 382 17 the the DT A34005 382 18 Projection Projection NNP A34005 382 19 , , , A34005 382 20 by by IN A34005 382 21 rectifying rectify VBG A34005 382 22 a a DT A34005 382 23 Bead Bead NNP A34005 382 24 to to IN A34005 382 25 the the DT A34005 382 26 proposed propose VBN A34005 382 27 Star Star NNP A34005 382 28 , , , A34005 382 29 and and CC A34005 382 30 bringing bring VBG A34005 382 31 the the DT A34005 382 32 Thread Thread NNP A34005 382 33 and and CC A34005 382 34 Bead Bead NNP A34005 382 35 to to IN A34005 382 36 that that DT A34005 382 37 Ecliptick Ecliptick NNP A34005 382 38 it -PRON- PRP A34005 382 39 wil wil RB A34005 382 40 intersect intersect VB A34005 382 41 ; ; : A34005 382 42 and and CC A34005 382 43 in in IN A34005 382 44 the the DT A34005 382 45 same same JJ A34005 382 46 Position position NN A34005 382 47 the the DT A34005 382 48 Thread Thread NNP A34005 382 49 will will MD A34005 382 50 intersect intersect VB A34005 382 51 the the DT A34005 382 52 said say VBN A34005 382 53 Stars Stars NNP A34005 382 54 declination declination NN A34005 382 55 in in IN A34005 382 56 the the DT A34005 382 57 Quadrant Quadrant NNP A34005 382 58 of of IN A34005 382 59 Declinations declination NNS A34005 382 60 ; ; : A34005 382 61 if if IN A34005 382 62 the the DT A34005 382 63 Bead Bead NNP A34005 382 64 meet meet VBP A34005 382 65 with with IN A34005 382 66 the the DT A34005 382 67 Summer Summer NNP A34005 382 68 Ecliptick Ecliptick NNP A34005 382 69 the the DT A34005 382 70 Declination declination NN A34005 382 71 is be VBZ A34005 382 72 North North NNP A34005 382 73 , , , A34005 382 74 if if IN A34005 382 75 with with IN A34005 382 76 the the DT A34005 382 77 Winter Winter NNP A34005 382 78 South South NNP A34005 382 79 . . . A34005 383 1 To to TO A34005 383 2 find find VB A34005 383 3 the the DT A34005 383 4 Amplitude Amplitude NNP A34005 383 5 and and CC A34005 383 6 Ascensional Ascensional NNP A34005 383 7 difference difference NN A34005 383 8 of of IN A34005 383 9 any any DT A34005 383 10 of of IN A34005 383 11 the the DT A34005 383 12 Stars star NNS A34005 383 13 on on IN A34005 383 14 the the DT A34005 383 15 Projection Projection NNP A34005 383 16 . . . A34005 384 1 BRing bring VB A34005 384 2 the the DT A34005 384 3 Bead Bead NNP A34005 384 4 rectified rectified JJ A34005 384 5 to to IN A34005 384 6 the the DT A34005 384 7 Star Star NNP A34005 384 8 to to IN A34005 384 9 either either DT A34005 384 10 of of IN A34005 384 11 the the DT A34005 384 12 Horizons Horizons NNPS A34005 384 13 , , , A34005 384 14 the the DT A34005 384 15 Thread Thread NNP A34005 384 16 being be VBG A34005 384 17 kept keep VBN A34005 384 18 in in IN A34005 384 19 its -PRON- PRP$ A34005 384 20 due due JJ A34005 384 21 Extent extent NN A34005 384 22 , , , A34005 384 23 and and CC A34005 384 24 where where WRB A34005 384 25 it -PRON- PRP A34005 384 26 intersects intersect VBZ A34005 384 27 the the DT A34005 384 28 same same JJ A34005 384 29 it -PRON- PRP A34005 384 30 shews shew VBZ A34005 384 31 that that IN A34005 384 32 Stars Stars NNP A34005 384 33 Amplitude Amplitude NNP A34005 384 34 which which WDT A34005 384 35 varies vary VBZ A34005 384 36 not not RB A34005 384 37 , , , A34005 384 38 and and CC A34005 384 39 is be VBZ A34005 384 40 Northward northward RB A34005 384 41 if if IN A34005 384 42 the the DT A34005 384 43 Star Star NNP A34005 384 44 have have VBP A34005 384 45 North North NNP A34005 384 46 declination declination NN A34005 384 47 , , , A34005 384 48 otherwise otherwise RB A34005 384 49 Southwards Southwards NNP A34005 384 50 , , , A34005 384 51 the the DT A34005 384 52 Thread thread NN A34005 384 53 likewise likewise RB A34005 384 54 intersecting intersect VBG A34005 384 55 the the DT A34005 384 56 Limb Limb NNP A34005 384 57 , , , A34005 384 58 sheweth sheweth VB A34005 384 59 the the DT A34005 384 60 Stars Stars NNPS A34005 384 61 Ascensional Ascensional NNP A34005 384 62 difference difference NN A34005 384 63 . . . A34005 385 1 Example example NN A34005 385 2 . . . A34005 386 1 So so RB A34005 386 2 the the DT A34005 386 3 Bead Bead NNP A34005 386 4 being be VBG A34005 386 5 rectified rectified JJ A34005 386 6 to to IN A34005 386 7 the the DT A34005 386 8 Bulls Bulls NNP A34005 386 9 eye eye NN A34005 386 10 , , , A34005 386 11 and and CC A34005 386 12 brought bring VBD A34005 386 13 to to IN A34005 386 14 the the DT A34005 386 15 lower low JJR A34005 386 16 Horizon Horizon NNP A34005 386 17 , , , A34005 386 18 shews shew VBZ A34005 386 19 the the DT A34005 386 20 Amplitude Amplitude NNP A34005 386 21 of of IN A34005 386 22 that that DT A34005 386 23 Star Star NNP A34005 386 24 to to TO A34005 386 25 be be VB A34005 386 26 25d 25d CD A34005 386 27 54′ 54′ NNP A34005 386 28 Northwards Northwards NNPS A34005 386 29 because because IN A34005 386 30 the the DT A34005 386 31 Star Star NNP A34005 386 32 hath hath NN A34005 386 33 North North NNP A34005 386 34 Declination Declination NNP A34005 386 35 ; ; : A34005 386 36 And and CC A34005 386 37 the the DT A34005 386 38 Thread Thread NNP A34005 386 39 lyeth lyeth NN A34005 386 40 over over IN A34005 386 41 20′ 20′ CD A34005 386 42 49′ 49′ CD A34005 386 43 of of IN A34005 386 44 the the DT A34005 386 45 Limb Limb NNP A34005 386 46 which which WDT A34005 386 47 is be VBZ A34005 386 48 this this DT A34005 386 49 Stars Stars NNP A34005 386 50 Ascensional Ascensional NNP A34005 386 51 difference difference NN A34005 386 52 , , , A34005 386 53 which which WDT A34005 386 54 in in IN A34005 386 55 Time Time NNP A34005 386 56 is be VBZ A34005 386 57 1 1 CD A34005 386 58 ho ho IN A34005 386 59 23 23 CD A34005 386 60 m m NN A34005 386 61 The the DT A34005 386 62 Thread Thread NNP A34005 386 63 in in IN A34005 386 64 the the DT A34005 386 65 Limb Limb NNP A34005 386 66 lyeth lyeth NN A34005 386 67 over over IN A34005 386 68 4 4 CD A34005 386 69 ho ho IN A34005 386 70 37 37 CD A34005 386 71 m m NN A34005 386 72 from from IN A34005 386 73 midnight midnight NN A34005 386 74 for for IN A34005 386 75 the the DT A34005 386 76 Stars Stars NNP A34005 386 77 hour hour NN A34005 386 78 of of IN A34005 386 79 rising rise VBG A34005 386 80 , , , A34005 386 81 and and CC A34005 386 82 over over IN A34005 386 83 7 7 CD A34005 386 84 ho ho CC A34005 386 85 23 23 CD A34005 386 86 m m NN A34005 386 87 from from IN A34005 386 88 the the DT A34005 386 89 Meridian Meridian NNP A34005 386 90 for for IN A34005 386 91 the the DT A34005 386 92 Stars Stars NNP A34005 386 93 hour hour NN A34005 386 94 of of IN A34005 386 95 setting setting NN A34005 386 96 always always RB A34005 386 97 in in IN A34005 386 98 this this DT A34005 386 99 Latitude Latitude NNP A34005 386 100 which which WDT A34005 386 101 with with IN A34005 386 102 the the DT A34005 386 103 Amplitude Amplitude NNP A34005 386 104 varies vary VBZ A34005 386 105 not not RB A34005 386 106 , , , A34005 386 107 except except IN A34005 386 108 with with IN A34005 386 109 a a DT A34005 386 110 very very RB A34005 386 111 small small JJ A34005 386 112 allowance allowance NN A34005 386 113 in in IN A34005 386 114 many many JJ A34005 386 115 years year NNS A34005 386 116 . . . A34005 387 1 To to TO A34005 387 2 find find VB A34005 387 3 a a DT A34005 387 4 Stars Stars NNP A34005 387 5 Diurnal Diurnal NNP A34005 387 6 Ark Ark NNP A34005 387 7 , , , A34005 387 8 or or CC A34005 387 9 the the DT A34005 387 10 Time time NN A34005 387 11 of of IN A34005 387 12 its -PRON- PRP$ A34005 387 13 continuance continuance NN A34005 387 14 above above IN A34005 387 15 the the DT A34005 387 16 Horizon Horizon NNP A34005 387 17 . . . A34005 388 1 When when WRB A34005 388 2 the the DT A34005 388 3 Star Star NNP A34005 388 4 hath hath NN A34005 388 5 North North NNP A34005 388 6 Declination Declination NNP A34005 388 7 add add VB A34005 388 8 the the DT A34005 388 9 Ascensional ascensional JJ A34005 388 10 difference difference NN A34005 388 11 of of IN A34005 388 12 the the DT A34005 388 13 Star Star NNP A34005 388 14 before before IN A34005 388 15 found find VBN A34005 388 16 in in IN A34005 388 17 Time Time NNP A34005 388 18 to to IN A34005 388 19 6 6 CD A34005 388 20 hours hour NNS A34005 388 21 , , , A34005 388 22 the the DT A34005 388 23 Sum Sum NNP A34005 388 24 is be VBZ A34005 388 25 half half PDT A34005 388 26 the the DT A34005 388 27 time time NN A34005 388 28 . . . A34005 389 1 South South NNP A34005 389 2 Declination Declination NNP A34005 389 3 Subtract Subtract NNP A34005 389 4 . . . A34005 390 1 the the DT A34005 390 2 Ascensional ascensional JJ A34005 390 3 difference difference NN A34005 390 4 of of IN A34005 390 5 the the DT A34005 390 6 Star Star NNP A34005 390 7 before before IN A34005 390 8 found find VBN A34005 390 9 in in IN A34005 390 10 Time Time NNP A34005 390 11 from from IN A34005 390 12 6 6 CD A34005 390 13 hours hour NNS A34005 390 14 , , , A34005 390 15 the the DT A34005 390 16 Residue Residue NNP A34005 390 17 is be VBZ A34005 390 18 half half PDT A34005 390 19 the the DT A34005 390 20 time time NN A34005 390 21 . . . A34005 391 1 Of of IN A34005 391 2 that that DT A34005 391 3 Stars star NNS A34005 391 4 continuance continuance NN A34005 391 5 above above IN A34005 391 6 the the DT A34005 391 7 Horizon Horizon NNP A34005 391 8 , , , A34005 391 9 which which WDT A34005 391 10 doubled double VBD A34005 391 11 , , , A34005 391 12 shews shew VBZ A34005 391 13 the the DT A34005 391 14 whole whole JJ A34005 391 15 time time NN A34005 391 16 , , , A34005 391 17 the the DT A34005 391 18 Complement Complement NNP A34005 391 19 wherof wherof VBD A34005 391 20 to to IN A34005 391 21 24 24 CD A34005 391 22 ho ho NNP A34005 391 23 is be VBZ A34005 391 24 the the DT A34005 391 25 time time NN A34005 391 26 of of IN A34005 391 27 that that DT A34005 391 28 Stars star NNS A34005 391 29 durance durance NN A34005 391 30 under under IN A34005 391 31 the the DT A34005 391 32 Horizon Horizon NNP A34005 391 33 . . . A34005 392 1 Example example NN A34005 392 2 . . . A34005 393 1 So so RB A34005 393 2 the the DT A34005 393 3 Ascensional ascensional JJ A34005 393 4 difference difference NN A34005 393 5 of of IN A34005 393 6 the the DT A34005 393 7 Bulls Bulls NNP A34005 393 8 eye eye NN A34005 393 9 being be VBG A34005 393 10 in in IN A34005 393 11 time time NN A34005 393 12 1 1 CD A34005 393 13 ho ho IN A34005 393 14 : : : A34005 393 15 23 23 CD A34005 393 16 added add VBD A34005 393 17 to to IN A34005 393 18 6 6 CD A34005 393 19 hours hour NNS A34005 393 20 , , , A34005 393 21 and and CC A34005 393 22 the the DT A34005 393 23 Sum Sum NNP A34005 393 24 doubled double VBD A34005 393 25 makes make VBZ A34005 393 26 14 14 CD A34005 393 27 hours hour NNS A34005 393 28 46 46 CD A34005 393 29 m m NNS A34005 393 30 for for IN A34005 393 31 the the DT A34005 393 32 Stars Stars NNPS A34005 393 33 Diurnal Diurnal NNP A34005 393 34 Ark Ark NNP A34005 393 35 or or CC A34005 393 36 abode abode VB A34005 393 37 above above IN A34005 393 38 the the DT A34005 393 39 Horizon Horizon NNP A34005 393 40 , , , A34005 393 41 the the DT A34005 393 42 residue residue NN A34005 393 43 whereof whereof NNP A34005 393 44 from from IN A34005 393 45 24 24 CD A34005 393 46 is be VBZ A34005 393 47 9 9 CD A34005 393 48 ho ho NN A34005 393 49 : : : A34005 393 50 14 14 CD A34005 393 51 m m NN A34005 393 52 for for IN A34005 393 53 the the DT A34005 393 54 time time NN A34005 393 55 of of IN A34005 393 56 its -PRON- PRP$ A34005 393 57 durance durance NN A34005 393 58 under under IN A34005 393 59 the the DT A34005 393 60 Horizon Horizon NNP A34005 393 61 . . . A34005 394 1 To to TO A34005 394 2 find find VB A34005 394 3 the the DT A34005 394 4 true true JJ A34005 394 5 time time NN A34005 394 6 of of IN A34005 394 7 the the DT A34005 394 8 Day day NN A34005 394 9 or or CC A34005 394 10 night night NN A34005 394 11 , , , A34005 394 12 when when WRB A34005 394 13 the the DT A34005 394 14 Star Star NNP A34005 394 15 riseth riseth NN A34005 394 16 or or CC A34005 394 17 setteth setteth NNP A34005 394 18 . . . A34005 395 1 THe the DT A34005 395 2 Stars Stars NNPS A34005 395 3 hour hour NN A34005 395 4 of of IN A34005 395 5 rising rise VBG A34005 395 6 or or CC A34005 395 7 setting setting NN A34005 395 8 found find VBN A34005 395 9 as as IN A34005 395 10 before before RB A34005 395 11 , , , A34005 395 12 being be VBG A34005 395 13 no no DT A34005 395 14 other other JJ A34005 395 15 but but CC A34005 395 16 the the DT A34005 395 17 Ascensional ascensional JJ A34005 395 18 difference difference NN A34005 395 19 of of IN A34005 395 20 the the DT A34005 395 21 Star Star NNP A34005 395 22 added add VBD A34005 395 23 to to IN A34005 395 24 , , , A34005 395 25 or or CC A34005 395 26 substracted substracte VBN A34005 395 27 from from IN A34005 395 28 6 6 CD A34005 395 29 hours hour NNS A34005 395 30 ; ; : A34005 395 31 which which WDT A34005 395 32 the the DT A34005 395 33 Thread Thread NNP A34005 395 34 sheweth sheweth NN A34005 395 35 in in IN A34005 395 36 the the DT A34005 395 37 Limb Limb NNP A34005 395 38 the the DT A34005 395 39 Bead Bead NNP A34005 395 40 being be VBG A34005 395 41 rectified rectified JJ A34005 395 42 to to IN A34005 395 43 a a DT A34005 395 44 Star Star NNP A34005 395 45 , , , A34005 395 46 and and CC A34005 395 47 brought bring VBN A34005 395 48 to to IN A34005 395 49 that that DT A34005 395 50 Horizon Horizon NNP A34005 395 51 it -PRON- PRP A34005 395 52 will will MD A34005 395 53 intersect intersect VB A34005 395 54 ; ; : A34005 395 55 is be VBZ A34005 395 56 not not RB A34005 395 57 the the DT A34005 395 58 true true JJ A34005 395 59 time time NN A34005 395 60 of of IN A34005 395 61 the the DT A34005 395 62 night night NN A34005 395 63 ; ; : A34005 395 64 but but CC A34005 395 65 by by IN A34005 395 66 help help NN A34005 395 67 thereof thereof IN A34005 395 68 that that DT A34005 395 69 may may MD A34005 395 70 be be VB A34005 395 71 come come VBN A34005 395 72 by by RP A34005 395 73 ; ; : A34005 395 74 this this DT A34005 395 75 we -PRON- PRP A34005 395 76 have have VBP A34005 395 77 denominated denominate VBN A34005 395 78 to to TO A34005 395 79 be be VB A34005 395 80 the the DT A34005 395 81 Stars Stars NNP A34005 395 82 hour hour NN A34005 395 83 , , , A34005 395 84 and and CC A34005 395 85 is be VBZ A34005 395 86 no no DT A34005 395 87 other other JJ A34005 395 88 but but CC A34005 395 89 the the DT A34005 395 90 Stars Stars NNPS A34005 395 91 horary horary JJ A34005 395 92 distance distance NN A34005 395 93 from from IN A34005 395 94 the the DT A34005 395 95 Meridian Meridian NNP A34005 395 96 it -PRON- PRP A34005 395 97 was be VBD A34005 395 98 last last JJ A34005 395 99 upon upon IN A34005 395 100 ; ; : A34005 395 101 If if IN A34005 395 102 a a DT A34005 395 103 Star Star NNP A34005 395 104 have have VBP A34005 395 105 North North NNP A34005 395 106 Declination Declination NNP A34005 395 107 the the DT A34005 395 108 Stars Stars NNP A34005 395 109 hour hour NN A34005 395 110 of of IN A34005 395 111 rising rise VBG A34005 395 112 must must MD A34005 395 113 be be VB A34005 395 114 reckoned reckon VBN A34005 395 115 to to TO A34005 395 116 be be VB A34005 395 117 before before IN A34005 395 118 6 6 CD A34005 395 119 and and CC A34005 395 120 the the DT A34005 395 121 time time NN A34005 395 122 of of IN A34005 395 123 its -PRON- PRP$ A34005 395 124 setting setting NN A34005 395 125 after after IN A34005 395 126 6 6 CD A34005 395 127 South South NNP A34005 395 128 Declination Declination NNP A34005 395 129 the the DT A34005 395 130 Stars Stars NNP A34005 395 131 hour hour NN A34005 395 132 of of IN A34005 395 133 rising rise VBG A34005 395 134 must must MD A34005 395 135 be be VB A34005 395 136 reckoned reckon VBN A34005 395 137 to to TO A34005 395 138 be be VB A34005 395 139 after after IN A34005 395 140 6 6 CD A34005 395 141 and and CC A34005 395 142 the the DT A34005 395 143 time time NN A34005 395 144 of of IN A34005 395 145 its -PRON- PRP$ A34005 395 146 setting setting NN A34005 395 147 before before IN A34005 395 148 6 6 CD A34005 395 149 Now now RB A34005 395 150 the the DT A34005 395 151 time time NN A34005 395 152 of of IN A34005 395 153 the the DT A34005 395 154 Stars star NNS A34005 395 155 rising rise VBG A34005 395 156 or or CC A34005 395 157 setting setting NN A34005 395 158 found find VBN A34005 395 159 by by IN A34005 395 160 this this DT A34005 395 161 and and CC A34005 395 162 the the DT A34005 395 163 former former JJ A34005 395 164 Propositions Propositions NNPS A34005 395 165 must must MD A34005 395 166 be be VB A34005 395 167 turned turn VBN A34005 395 168 into into IN A34005 395 169 common common JJ A34005 395 170 time time NN A34005 395 171 by by IN A34005 395 172 this this DT A34005 395 173 Rule Rule NNP A34005 395 174 . . . A34005 396 1 To to IN A34005 396 2 the the DT A34005 396 3 Complement Complement NNP A34005 396 4 of of IN A34005 396 5 the the DT A34005 396 6 Suns Suns NNPS A34005 396 7 Ascension Ascension NNP A34005 396 8 add add VBP A34005 396 9 the the DT A34005 396 10 Stars star NNS A34005 396 11 Ascension ascension NN A34005 396 12 , , , A34005 396 13 and and CC A34005 396 14 the the DT A34005 396 15 Stars Stars NNPS A34005 396 16 hour hour NN A34005 396 17 from from IN A34005 396 18 the the DT A34005 396 19 Meridian Meridian NNP A34005 396 20 it -PRON- PRP A34005 396 21 was be VBD A34005 396 22 last last JJ A34005 396 23 upon upon IN A34005 396 24 , , , A34005 396 25 the the DT A34005 396 26 Amount Amount NNP A34005 396 27 if if IN A34005 396 28 less less JJR A34005 396 29 then then RB A34005 396 30 12 12 CD A34005 396 31 shews shew NNS A34005 396 32 the the DT A34005 396 33 the the DT A34005 396 34 time time NN A34005 396 35 of of IN A34005 396 36 Stars star NNS A34005 396 37 rising rise VBG A34005 396 38 or or CC A34005 396 39 setting set VBG A34005 396 40 accordingly accordingly RB A34005 396 41 ; ; : A34005 396 42 but but CC A34005 396 43 if if IN A34005 396 44 it -PRON- PRP A34005 396 45 be be VBP A34005 396 46 more more JJR A34005 396 47 then then IN A34005 396 48 12 12 CD A34005 396 49 reject reject NN A34005 396 50 12 12 CD A34005 396 51 as as RB A34005 396 52 oft oft RB A34005 396 53 as as IN A34005 396 54 may may MD A34005 396 55 be be VB A34005 396 56 , , , A34005 396 57 and and CC A34005 396 58 the the DT A34005 396 59 remaind remaind NN A34005 396 60 - - HYPH A34005 396 61 sheweth sheweth NN A34005 396 62 it -PRON- PRP A34005 396 63 . . . A34005 397 1 So so CC A34005 397 2 upon upon IN A34005 397 3 the the DT A34005 397 4 23d 23d NNS A34005 397 5 of of IN A34005 397 6 December December NNP A34005 397 7 for for IN A34005 397 8 the the DT A34005 397 9 time time NN A34005 397 10 of of IN A34005 397 11 the the DT A34005 397 12 Bulls Bulls NNP A34005 397 13 eye eye NN A34005 397 14 rising rise VBG A34005 397 15 . . . A34005 398 1 h h LS A34005 398 2 m m NNP A34005 398 3 The the DT A34005 398 4 Complement Complement NNP A34005 398 5 of of IN A34005 398 6 the the DT A34005 398 7 Suns Suns NNPS A34005 398 8 Ascension Ascension NNP A34005 398 9 found find VBN A34005 398 10 by by IN A34005 398 11 the the DT A34005 398 12 foreside foreside NN A34005 398 13 of of IN A34005 398 14 the the DT A34005 398 15 Quadrant Quadrant NNP A34005 398 16 is be VBZ A34005 398 17 — — : A34005 398 18 5 5 CD A34005 398 19 7 7 CD A34005 398 20 And and CC A34005 398 21 the the DT A34005 398 22 said say VBN A34005 398 23 Stars Stars NNP A34005 398 24 Ascension Ascension NNP A34005 398 25 on on IN A34005 398 26 the the DT A34005 398 27 backside backside NN A34005 398 28 is be VBZ A34005 398 29 — — : A34005 398 30 4 4 CD A34005 398 31 16 16 CD A34005 398 32 The the DT A34005 398 33 Stars Stars NNP A34005 398 34 hour hour NN A34005 398 35 of of IN A34005 398 36 rising rise VBG A34005 398 37 is be VBZ A34005 398 38 — — : A34005 398 39 4 4 CD A34005 398 40 37 37 CD A34005 398 41 14 14 CD A34005 398 42 hours hour NNS A34005 398 43 . . . A34005 399 1 From from IN A34005 399 2 which which WDT A34005 399 3 12 12 CD A34005 399 4 rejected reject VBN A34005 399 5 rests rest VBZ A34005 399 6 2 2 CD A34005 399 7 hours hour NNS A34005 399 8 for for IN A34005 399 9 the the DT A34005 399 10 time time NN A34005 399 11 of of IN A34005 399 12 that that DT A34005 399 13 Stars star NNS A34005 399 14 rising rise VBG A34005 399 15 , , , A34005 399 16 which which WDT A34005 399 17 I -PRON- PRP A34005 399 18 conclude conclude VBP A34005 399 19 to to TO A34005 399 20 be be VB A34005 399 21 at at IN A34005 399 22 2 2 CD A34005 399 23 in in IN A34005 399 24 the the DT A34005 399 25 afternoon afternoon NN A34005 399 26 , , , A34005 399 27 because because IN A34005 399 28 that that DT A34005 399 29 Star Star NNP A34005 399 30 was be VBD A34005 399 31 found find VBN A34005 399 32 to to TO A34005 399 33 come come VB A34005 399 34 to to IN A34005 399 35 the the DT A34005 399 36 Meridian Meridian NNP A34005 399 37 at at IN A34005 399 38 23 23 CD A34005 399 39 m m CD A34005 399 40 past past JJ A34005 399 41 9 9 CD A34005 399 42 at at IN A34005 399 43 night night NN A34005 399 44 , , , A34005 399 45 the the DT A34005 399 46 like like JJ A34005 399 47 Operation Operation NNP A34005 399 48 must must MD A34005 399 49 be be VB A34005 399 50 used use VBN A34005 399 51 to to TO A34005 399 52 get get VB A34005 399 53 the the DT A34005 399 54 time time NN A34005 399 55 of of IN A34005 399 56 that that DT A34005 399 57 Stars star NNS A34005 399 58 setting set VBG A34005 399 59 , , , A34005 399 60 which which WDT A34005 399 61 will will MD A34005 399 62 be be VB A34005 399 63 found find VBN A34005 399 64 to to TO A34005 399 65 be be VB A34005 399 66 at at IN A34005 399 67 4 4 CD A34005 399 68 ho ho NNS A34005 399 69 46 46 CD A34005 399 70 m m NN A34005 399 71 past past NN A34005 399 72 in in IN A34005 399 73 the the DT A34005 399 74 morning morning NN A34005 399 75 . . . A34005 400 1 h h LS A34005 400 2 m m NNP A34005 400 3 Complement Complement NNP A34005 400 4 ☉ ☉ NNP A34005 400 5 Ascension ascension NN A34005 400 6 — — : A34005 400 7 5 5 CD A34005 400 8 7 7 CD A34005 400 9 Stars star NNS A34005 400 10 Ascension ascension NN A34005 400 11 — — : A34005 400 12 4 4 CD A34005 400 13 16 16 CD A34005 400 14 Stars Stars NNPS A34005 400 15 hour hour NN A34005 400 16 of of IN A34005 400 17 setting setting NN A34005 400 18 — — : A34005 400 19 7 7 CD A34005 400 20 23 23 CD A34005 400 21 16 16 CD A34005 400 22 h. h. NN A34005 400 23 46′ 46′ CD A34005 400 24 To to TO A34005 400 25 find find VB A34005 400 26 what what WP A34005 400 27 Altitude Altitude NNP A34005 400 28 and and CC A34005 400 29 Azimuth Azimuth NNP A34005 400 30 a a DT A34005 400 31 Star Star NNP A34005 400 32 that that IN A34005 400 33 hath hath NN A34005 400 34 North North NNP A34005 400 35 Declination Declination NNP A34005 400 36 shall shall MD A34005 400 37 have have VB A34005 400 38 when when WRB A34005 400 39 it -PRON- PRP A34005 400 40 is be VBZ A34005 400 41 6 6 CD A34005 400 42 hours hour NNS A34005 400 43 of of IN A34005 400 44 Time time NN A34005 400 45 from from IN A34005 400 46 the the DT A34005 400 47 Meridian Meridian NNP A34005 400 48 . . . A34005 401 1 REctifie rectifie VB A34005 401 2 the the DT A34005 401 3 Bead Bead NNP A34005 401 4 to to IN A34005 401 5 the the DT A34005 401 6 Star Star NNP A34005 401 7 , , , A34005 401 8 and and CC A34005 401 9 bring bring VB A34005 401 10 the the DT A34005 401 11 Bead Bead NNP A34005 401 12 and and CC A34005 401 13 Thread Thread NNP A34005 401 14 to to IN A34005 401 15 the the DT A34005 401 16 left left JJ A34005 401 17 edge edge NN A34005 401 18 of of IN A34005 401 19 the the DT A34005 401 20 Quadrant Quadrant NNP A34005 401 21 , , , A34005 401 22 and and CC A34005 401 23 there there RB A34005 401 24 among among IN A34005 401 25 the the DT A34005 401 26 Parralels Parralels NNP A34005 401 27 of of IN A34005 401 28 Altitude Altitude NNP A34005 401 29 and and CC A34005 401 30 Azimuths Azimuths NNP A34005 401 31 it -PRON- PRP A34005 401 32 sheweth sheweth VBZ A34005 401 33 what what WP A34005 401 34 Altitude Altitude NNP A34005 401 35 and and CC A34005 401 36 Azimuth Azimuth NNP A34005 401 37 the the DT A34005 401 38 Star Star NNP A34005 401 39 shall shall MD A34005 401 40 have have VB A34005 401 41 . . . A34005 402 1 Example example NN A34005 402 2 . . . A34005 403 1 So so RB A34005 403 2 the the DT A34005 403 3 Bead Bead NNP A34005 403 4 being be VBG A34005 403 5 set set VBN A34005 403 6 to to IN A34005 403 7 the the DT A34005 403 8 Bulls Bulls NNP A34005 403 9 eye eye NN A34005 403 10 , , , A34005 403 11 and and CC A34005 403 12 brought bring VBD A34005 403 13 to to IN A34005 403 14 the the DT A34005 403 15 left left JJ A34005 403 16 edge edge NN A34005 403 17 of of IN A34005 403 18 the the DT A34005 403 19 Quadrant Quadrant NNP A34005 403 20 it -PRON- PRP A34005 403 21 will will MD A34005 403 22 be be VB A34005 403 23 found find VBN A34005 403 24 to to TO A34005 403 25 have have VB A34005 403 26 12′ 12′ CD A34005 403 27 17′ 17′ CD A34005 403 28 Altitude altitude NN A34005 403 29 , , , A34005 403 30 and and CC A34005 403 31 80d 80d NNS A34005 403 32 3′ 3′ CD A34005 403 33 Azimuth Azimuth NNP A34005 403 34 from from IN A34005 403 35 the the DT A34005 403 36 South South NNP A34005 403 37 , , , A34005 403 38 when when WRB A34005 403 39 it -PRON- PRP A34005 403 40 is be VBZ A34005 403 41 6 6 CD A34005 403 42 hours hour NNS A34005 403 43 of of IN A34005 403 44 time time NN A34005 403 45 from from IN A34005 403 46 the the DT A34005 403 47 Meridian Meridian NNP A34005 403 48 , , , A34005 403 49 which which WDT A34005 403 50 Proposition Proposition NNP A34005 403 51 is be VBZ A34005 403 52 afterwards afterwards RB A34005 403 53 used use VBN A34005 403 54 to to TO A34005 403 55 know know VB A34005 403 56 to to TO A34005 403 57 which which WDT A34005 403 58 Ecliptick Ecliptick NNP A34005 403 59 in in IN A34005 403 60 some some DT A34005 403 61 Cases case NNS A34005 403 62 to to TO A34005 403 63 rectifie rectifie VB A34005 403 64 the the DT A34005 403 65 Bead Bead NNP A34005 403 66 as as IN A34005 403 67 hath hath NN A34005 403 68 likewise likewise RB A34005 403 69 been be VBN A34005 403 70 intimated intimate VBN A34005 403 71 before before RB A34005 403 72 . . . A34005 404 1 The the DT A34005 404 2 Azimuth Azimuth NNP A34005 404 3 of of IN A34005 404 4 a a DT A34005 404 5 Star Star NNP A34005 404 6 proposed propose VBN A34005 404 7 , , , A34005 404 8 To to TO A34005 404 9 find find VB A34005 404 10 what what WP A34005 404 11 time time NN A34005 404 12 of of IN A34005 404 13 the the DT A34005 404 14 Night Night NNP A34005 404 15 the the DT A34005 404 16 Star Star NNP A34005 404 17 shall shall MD A34005 404 18 be be VB A34005 404 19 upon upon IN A34005 404 20 that that DT A34005 404 21 Azimuth Azimuth NNP A34005 404 22 , , , A34005 404 23 and and CC A34005 404 24 what what WP A34005 404 25 Altitude altitude NN A34005 404 26 it -PRON- PRP A34005 404 27 shall shall MD A34005 404 28 then then RB A34005 404 29 have have VB A34005 404 30 . . . A34005 405 1 SUpposing suppose VBG A34005 405 2 the the DT A34005 405 3 Azimuth Azimuth NNP A34005 405 4 proposed propose VBN A34005 405 5 to to TO A34005 405 6 be be VB A34005 405 7 nearer nearer IN A34005 405 8 the the DT A34005 405 9 South South NNP A34005 405 10 Meridian Meridian NNP A34005 405 11 then then RB A34005 405 12 that that IN A34005 405 13 Azimuth Azimuth NNP A34005 405 14 the the DT A34005 405 15 Star Star NNP A34005 405 16 shal shal NN A34005 405 17 have have VBP A34005 405 18 when when WRB A34005 405 19 it -PRON- PRP A34005 405 20 is be VBZ A34005 405 21 6 6 CD A34005 405 22 hours hour NNS A34005 405 23 from from IN A34005 405 24 the the DT A34005 405 25 Meridian Meridian NNP A34005 405 26 : : : A34005 405 27 Bring bring VB A34005 405 28 the the DT A34005 405 29 Bead Bead NNP A34005 405 30 rectified rectified JJ A34005 405 31 to to IN A34005 405 32 the the DT A34005 405 33 Star Star NNP A34005 405 34 , , , A34005 405 35 to to IN A34005 405 36 the the DT A34005 405 37 proposed propose VBN A34005 405 38 Azimuth Azimuth NNP A34005 405 39 , , , A34005 405 40 and and CC A34005 405 41 among among IN A34005 405 42 the the DT A34005 405 43 Parralels Parralels NNPS A34005 405 44 of of IN A34005 405 45 Altitude Altitude NNP A34005 405 46 it -PRON- PRP A34005 405 47 shews shew VBZ A34005 405 48 that that IN A34005 405 49 Stars Stars NNPS A34005 405 50 Altitude Altitude NNP A34005 405 51 , , , A34005 405 52 and and CC A34005 405 53 the the DT A34005 405 54 Thread thread NN A34005 405 55 in in IN A34005 405 56 the the DT A34005 405 57 Limb Limb NNP A34005 405 58 shews shew VBZ A34005 405 59 that that IN A34005 405 60 Stars star NNS A34005 405 61 hour hour NN A34005 405 62 to to TO A34005 405 63 be be VB A34005 405 64 turned turn VBN A34005 405 65 into into IN A34005 405 66 common common JJ A34005 405 67 time time NN A34005 405 68 to to TO A34005 405 69 attain attain VB A34005 405 70 the the DT A34005 405 71 true true JJ A34005 405 72 time time NN A34005 405 73 sought seek VBD A34005 405 74 . . . A34005 406 1 Example example NN A34005 406 2 . . . A34005 407 1 If if IN A34005 407 2 the the DT A34005 407 3 question question NN A34005 407 4 were be VBD A34005 407 5 What what WP A34005 407 6 Altitude altitude NN A34005 407 7 the the DT A34005 407 8 Bulls Bulls NNP A34005 407 9 eye eye NN A34005 407 10 shall shall MD A34005 407 11 have have VB A34005 407 12 when when WRB A34005 407 13 his -PRON- PRP$ A34005 407 14 Azimuth azimuth NN A34005 407 15 is be VBZ A34005 407 16 62d 62d CD A34005 407 17 48′ 48′ CD A34005 407 18 from from IN A34005 407 19 South South NNP A34005 407 20 , , , A34005 407 21 this this DT A34005 407 22 being be VBG A34005 407 23 less less JJR A34005 407 24 Azimuth Azimuth NNP A34005 407 25 then then RB A34005 407 26 he -PRON- PRP A34005 407 27 hath hath VBP A34005 407 28 at at IN A34005 407 29 6 6 CD A34005 407 30 hours hour NNS A34005 407 31 from from IN A34005 407 32 the the DT A34005 407 33 Meridian Meridian NNP A34005 407 34 , , , A34005 407 35 the the DT A34005 407 36 rectified rectified JJ A34005 407 37 Bead Bead NNP A34005 407 38 being be VBG A34005 407 39 brought bring VBN A34005 407 40 to to IN A34005 407 41 the the DT A34005 407 42 Azimuth Azimuth NNP A34005 407 43 sheweth sheweth NN A34005 407 44 among among IN A34005 407 45 the the DT A34005 407 46 Parralels Parralels NNPS A34005 407 47 the the DT A34005 407 48 Altitude altitude NN A34005 407 49 to to TO A34005 407 50 be be VB A34005 407 51 39d 39d NNS A34005 407 52 and and CC A34005 407 53 the the DT A34005 407 54 Stars Stars NNPS A34005 407 55 hour hour NN A34005 407 56 shewn shew VBN A34005 407 57 by by IN A34005 407 58 the the DT A34005 407 59 Thread thread NN A34005 407 60 in in IN A34005 407 61 the the DT A34005 407 62 Limb Limb NNP A34005 407 63 is be VBZ A34005 407 64 either either CC A34005 407 65 8 8 CD A34005 407 66 ho ho NN A34005 407 67 : : : A34005 407 68 56′ 56′ CD A34005 407 69 or or CC A34005 407 70 3 3 CD A34005 407 71 ho ho NN A34005 407 72 : : : A34005 407 73 4′ 4′ CD A34005 407 74 from from IN A34005 407 75 the the DT A34005 407 76 Meridian Meridian NNP A34005 407 77 ; ; : A34005 407 78 then then RB A34005 407 79 if if IN A34005 407 80 upon upon IN A34005 407 81 the the DT A34005 407 82 23 23 CD A34005 407 83 of of IN A34005 407 84 December December NNP A34005 407 85 you -PRON- PRP A34005 407 86 would would MD A34005 407 87 know know VB A34005 407 88 at at IN A34005 407 89 what what WDT A34005 407 90 time time NN A34005 407 91 the the DT A34005 407 92 Star Star NNP A34005 407 93 shall shall MD A34005 407 94 have have VB A34005 407 95 this this DT A34005 407 96 Altitude altitude NN A34005 407 97 on on IN A34005 407 98 this this DT A34005 407 99 Azimuth azimuth NN A34005 407 100 , , , A34005 407 101 Change change VB A34005 407 102 the the DT A34005 407 103 Stars star NNS A34005 407 104 hour hour NN A34005 407 105 into into IN A34005 407 106 common common JJ A34005 407 107 time time NN A34005 407 108 by by IN A34005 407 109 the the DT A34005 407 110 former former JJ A34005 407 111 Rule Rule NNP A34005 407 112 . . . A34005 408 1 Decemb decemb UH A34005 408 2 . . . A34005 409 1 23 23 CD A34005 409 2 Complement Complement NNP A34005 409 3 of of IN A34005 409 4 ☉ ☉ NNP A34005 409 5 Ascension Ascension NNP A34005 409 6 5 5 CD A34005 409 7 h h CD A34005 409 8 7′ 7′ CD A34005 409 9 5 5 CD A34005 409 10 h h CD A34005 409 11 7′ 7′ CD A34005 409 12     _SP A34005 409 13 Stars Stars NNP A34005 409 14 Ascension Ascension NNP A34005 409 15 — — : A34005 409 16 4 4 CD A34005 409 17 16 16 CD A34005 409 18 4 4 CD A34005 409 19 16 16 CD A34005 409 20     _SP A34005 409 21 Stars Stars NNP A34005 409 22 hour hour NN A34005 409 23 — — : A34005 409 24 8 8 CD A34005 409 25 56 56 CD A34005 409 26 3 3 CD A34005 409 27 4 4 CD A34005 409 28         _SP A34005 409 29 18 18 CD A34005 409 30 19 19 CD A34005 409 31 12 12 CD A34005 409 32 27 27 CD A34005 409 33 And and CC A34005 409 34 you -PRON- PRP A34005 409 35 will will MD A34005 409 36 find find VB A34005 409 37 it -PRON- PRP A34005 409 38 to to TO A34005 409 39 be be VB A34005 409 40 at at IN A34005 409 41 19′ 19′ CD A34005 409 42 past past JJ A34005 409 43 6 6 CD A34005 409 44 in in IN A34005 409 45 the the DT A34005 409 46 evening evening NN A34005 409 47 , , , A34005 409 48 or or CC A34005 409 49 at at IN A34005 409 50 27 27 CD A34005 409 51 m m NN A34005 409 52 past past NN A34005 409 53 midnight midnight NN A34005 409 54 . . . A34005 410 1 For for IN A34005 410 2 Stars star NNS A34005 410 3 of of IN A34005 410 4 South South NNP A34005 410 5 Declination Declination NNP A34005 410 6 being be VBG A34005 410 7 they -PRON- PRP A34005 410 8 have have VBP A34005 410 9 no no DT A34005 410 10 Altitude altitude NN A34005 410 11 above above IN A34005 410 12 the the DT A34005 410 13 Horizon Horizon NNP A34005 410 14 at at IN A34005 410 15 6 6 CD A34005 410 16 ho ho NN A34005 410 17 : : : A34005 410 18 distance distance NN A34005 410 19 from from IN A34005 410 20 the the DT A34005 410 21 Meridian Meridian NNP A34005 410 22 , , , A34005 410 23 the the DT A34005 410 24 operation operation NN A34005 410 25 will will MD A34005 410 26 be be VB A34005 410 27 the the DT A34005 410 28 same same JJ A34005 410 29 , , , A34005 410 30 void void JJ A34005 410 31 of of IN A34005 410 32 Caution caution NN A34005 410 33 . . . A34005 411 1 But but CC A34005 411 2 for for IN A34005 411 3 Stars star NNS A34005 411 4 of of IN A34005 411 5 North North NNP A34005 411 6 Declination Declination NNP A34005 411 7 when when WRB A34005 411 8 the the DT A34005 411 9 proposed propose VBN A34005 411 10 Azimuth Azimuth NNP A34005 411 11 is be VBZ A34005 411 12 more more RBR A34005 411 13 remote remote JJ A34005 411 14 from from IN A34005 411 15 the the DT A34005 411 16 South South NNP A34005 411 17 Meridian Meridian NNP A34005 411 18 then then RB A34005 411 19 the the DT A34005 411 20 Azimuth Azimuth NNP A34005 411 21 of of IN A34005 411 22 that that DT A34005 411 23 Star Star NNP A34005 411 24 6 6 CD A34005 411 25 ho ho NN A34005 411 26 from from IN A34005 411 27 the the DT A34005 411 28 Meridian Meridian NNP A34005 411 29 , , , A34005 411 30 another another DT A34005 411 31 Bead Bead NNP A34005 411 32 must must MD A34005 411 33 be be VB A34005 411 34 rectified rectified JJ A34005 411 35 to to IN A34005 411 36 the the DT A34005 411 37 Winter Winter NNP A34005 411 38 Ecliptick Ecliptick NNP A34005 411 39 , , , A34005 411 40 and and CC A34005 411 41 carried carry VBD A34005 411 42 to to IN A34005 411 43 the the DT A34005 411 44 Azimuth Azimuth NNP A34005 411 45 proposed propose VBN A34005 411 46 above above IN A34005 411 47 the the DT A34005 411 48 upper upper JJ A34005 411 49 Horizon Horizon NNP A34005 411 50 , , , A34005 411 51 where where WRB A34005 411 52 amongst amongst IN A34005 411 53 the the DT A34005 411 54 Parralels Parralels NNPS A34005 411 55 it -PRON- PRP A34005 411 56 shews shew VBZ A34005 411 57 the the DT A34005 411 58 Altitude altitude NN A34005 411 59 sought seek VBD A34005 411 60 ; ; : A34005 411 61 and and CC A34005 411 62 the the DT A34005 411 63 Thread thread NN A34005 411 64 in in IN A34005 411 65 the the DT A34005 411 66 Limb Limb NNP A34005 411 67 sheweth sheweth NN A34005 411 68 the the DT A34005 411 69 Stars Stars NNP A34005 411 70 hour hour NN A34005 411 71 to to TO A34005 411 72 be be VB A34005 411 73 converted convert VBN A34005 411 74 into into IN A34005 411 75 common common JJ A34005 411 76 time time NN A34005 411 77 . . . A34005 412 1 Example example NN A34005 412 2 . . . A34005 413 1 The the DT A34005 413 2 Azimuth Azimuth NNP A34005 413 3 of of IN A34005 413 4 the the DT A34005 413 5 Bulls Bulls NNP A34005 413 6 eye eye NN A34005 413 7 being be VBG A34005 413 8 107d 107d CD A34005 413 9 53′ 53′ CD A34005 413 10 from from IN A34005 413 11 South South NNP A34005 413 12 , , , A34005 413 13 which which WDT A34005 413 14 is be VBZ A34005 413 15 more more JJR A34005 413 16 then then RB A34005 413 17 the the DT A34005 413 18 Azimuth Azimuth NNP A34005 413 19 of of IN A34005 413 20 6 6 CD A34005 413 21 hours hour NNS A34005 413 22 , , , A34005 413 23 the the DT A34005 413 24 other other JJ A34005 413 25 Bead Bead NNP A34005 413 26 set set VBD A34005 413 27 to to IN A34005 413 28 the the DT A34005 413 29 Winter Winter NNP A34005 413 30 Ecliptick Ecliptick NNP A34005 413 31 , , , A34005 413 32 and and CC A34005 413 33 carried carry VBD A34005 413 34 to to IN A34005 413 35 that that DT A34005 413 36 Azimuth Azimuth NNP A34005 413 37 in in IN A34005 413 38 the the DT A34005 413 39 Tail Tail NNP A34005 413 40 , , , A34005 413 41 shews shew VBZ A34005 413 42 the the DT A34005 413 43 Altitude altitude NN A34005 413 44 to to TO A34005 413 45 be be VB A34005 413 46 6d 6d NNP A34005 413 47 and and CC A34005 413 48 the the DT A34005 413 49 Stars Stars NNPS A34005 413 50 hour hour NN A34005 413 51 to to TO A34005 413 52 be be VB A34005 413 53 5 5 CD A34005 413 54 ho ho NN A34005 413 55 : : : A34005 413 56 18′ 18′ CD A34005 413 57 Or or CC A34005 413 58 6 6 CD A34005 413 59 ho ho NN A34005 413 60 : : : A34005 413 61 42′ 42′ CD A34005 413 62 which which WDT A34005 413 63 converted convert VBD A34005 413 64 into into IN A34005 413 65 common common JJ A34005 413 66 time time NN A34005 413 67 , , , A34005 413 68 as as IN A34005 413 69 upon upon IN A34005 413 70 the the DT A34005 413 71 23d 23d NNS A34005 413 72 of of IN A34005 413 73 December December NNP A34005 413 74 , , , A34005 413 75 will will MD A34005 413 76 be be VB A34005 413 77 either either CC A34005 413 78 41 41 CD A34005 413 79 m m NN A34005 413 80 past past JJ A34005 413 81 2 2 CD A34005 413 82 in in IN A34005 413 83 the the DT A34005 413 84 afternoon afternoon NN A34005 413 85 , , , A34005 413 86 or or CC A34005 413 87 5 5 CD A34005 413 88 m m CD A34005 413 89 past past JJ A34005 413 90 4 4 CD A34005 413 91 in in IN A34005 413 92 the the DT A34005 413 93 morning morning NN A34005 413 94 following following NN A34005 413 95 . . . A34005 414 1 h h LS A34005 414 2 ' ' `` A34005 414 3 h h NN A34005 414 4 ' ' '' A34005 414 5 December December NNP A34005 414 6 23 23 CD A34005 414 7 Complement Complement NNP A34005 414 8 Suns Suns NNPS A34005 414 9 Ascension ascension NN A34005 414 10 5 5 CD A34005 414 11 7 7 CD A34005 414 12 5 5 CD A34005 414 13 7 7 CD A34005 414 14     _SP A34005 414 15 Stars Stars NNPS A34005 414 16 Ascension ascension NN A34005 414 17 — — : A34005 414 18 4 4 CD A34005 414 19 16 16 CD A34005 414 20 4 4 CD A34005 414 21 16 16 CD A34005 414 22     _SP A34005 414 23 Stars Stars NNP A34005 414 24 hour hour NN A34005 414 25 — — : A34005 414 26 5 5 CD A34005 414 27 18 18 CD A34005 414 28 6 6 CD A34005 414 29 42 42 CD A34005 414 30 Rejecting reject VBG A34005 414 31 12 12 CD A34005 414 32 the the DT A34005 414 33 Total total NN A34005 414 34 is be VBZ A34005 414 35 — — : A34005 414 36 2 2 CD A34005 414 37 41 41 CD A34005 414 38 Or or CC A34005 414 39 4 4 CD A34005 414 40 5 5 CD A34005 414 41 The the DT A34005 414 42 Hour Hour NNP A34005 414 43 of of IN A34005 414 44 the the DT A34005 414 45 night night NN A34005 414 46 proposed propose VBD A34005 414 47 to to TO A34005 414 48 find find VB A34005 414 49 what what WP A34005 414 50 Altitude Altitude NNP A34005 414 51 and and CC A34005 414 52 Azimuth Azimuth NNP A34005 414 53 any any DT A34005 414 54 of of IN A34005 414 55 the the DT A34005 414 56 Stars star NNS A34005 414 57 on on IN A34005 414 58 the the DT A34005 414 59 Projection projection NN A34005 414 60 that that WDT A34005 414 61 are be VBP A34005 414 62 above above IN A34005 414 63 the the DT A34005 414 64 Horizon Horizon NNP A34005 414 65 shall shall MD A34005 414 66 have have VB A34005 414 67 at at IN A34005 414 68 that that DT A34005 414 69 time time NN A34005 414 70 . . . A34005 415 1 FIrst first RB A34005 415 2 turn turn VB A34005 415 3 common common JJ A34005 415 4 time time NN A34005 415 5 into into IN A34005 415 6 the the DT A34005 415 7 Stars Stars NNP A34005 415 8 hour hour NN A34005 415 9 , , , A34005 415 10 the the DT A34005 415 11 Rule Rule NNP A34005 415 12 to to TO A34005 415 13 do do VB A34005 415 14 it -PRON- PRP A34005 415 15 is be VBZ A34005 415 16 , , , A34005 415 17 To to IN A34005 415 18 the the DT A34005 415 19 Complement Complement NNP A34005 415 20 of of IN A34005 415 21 the the DT A34005 415 22 Stars star NNS A34005 415 23 Ascension Ascension NNP A34005 415 24 add add VBP A34005 415 25 the the DT A34005 415 26 Suns Suns NNPS A34005 415 27 Ascension Ascension NNP A34005 415 28 , , , A34005 415 29 and and CC A34005 415 30 the the DT A34005 415 31 time time NN A34005 415 32 of of IN A34005 415 33 the the DT A34005 415 34 night night NN A34005 415 35 proposed propose VBN A34005 415 36 , , , A34005 415 37 the the DT A34005 415 38 Aggregate Aggregate NNP A34005 415 39 if if IN A34005 415 40 less less JJR A34005 415 41 then then RB A34005 415 42 12 12 CD A34005 415 43 is be VBZ A34005 415 44 the the DT A34005 415 45 Stars Stars NNP A34005 415 46 hour hour NN A34005 415 47 ; ; : A34005 415 48 if if IN A34005 415 49 more more JJR A34005 415 50 reject reject VBP A34005 415 51 12 12 CD A34005 415 52 as as RB A34005 415 53 oft oft RB A34005 415 54 as as IN A34005 415 55 may may MD A34005 415 56 be be VB A34005 415 57 , , , A34005 415 58 and and CC A34005 415 59 the the DT A34005 415 60 remainder remainder NN A34005 415 61 is be VBZ A34005 415 62 the the DT A34005 415 63 Stars Stars NNP A34005 415 64 hour hour NN A34005 415 65 sought seek VBD A34005 415 66 . . . A34005 416 1 So so RB A34005 416 2 the the DT A34005 416 3 23 23 CD A34005 416 4 of of IN A34005 416 5 December December NNP A34005 416 6 , , , A34005 416 7 at at IN A34005 416 8 8 8 CD A34005 416 9 a a DT A34005 416 10 Clock Clock NNP A34005 416 11 59 59 CD A34005 416 12 minutes minute NNS A34005 416 13 past past JJ A34005 416 14 at at IN A34005 416 15 night night NN A34005 416 16 what what WP A34005 416 17 shall shall MD A34005 416 18 be be VB A34005 416 19 the the DT A34005 416 20 Horarie Horarie NNP A34005 416 21 distance distance NN A34005 416 22 of of IN A34005 416 23 the the DT A34005 416 24 great great JJ A34005 416 25 Dogg Dogg NNP A34005 416 26 from from IN A34005 416 27 the the DT A34005 416 28 Meridian Meridian NNP A34005 416 29 Complement Complement NNP A34005 416 30 of of IN A34005 416 31 great great JJ A34005 416 32 Doggs Doggs NNP A34005 416 33 h h NN A34005 416 34 ' ' '' A34005 416 35 Ascension ascension NN A34005 416 36 — — : A34005 416 37 5 5 CD A34005 416 38 30 30 CD A34005 416 39 Suns Suns NNPS A34005 416 40 Ascension ascension NN A34005 416 41 — — : A34005 416 42 6 6 CD A34005 416 43 53 53 CD A34005 416 44 Time time NN A34005 416 45 of of IN A34005 416 46 the the DT A34005 416 47 night night NN A34005 416 48 — — : A34005 416 49 8 8 CD A34005 416 50 59 59 CD A34005 416 51 The the DT A34005 416 52 Sum Sum NNP A34005 416 53 is be VBZ A34005 416 54 , , , A34005 416 55 12 12 CD A34005 416 56 rejected reject VBN A34005 416 57 — — : A34005 416 58 9 9 CD A34005 416 59 22 22 CD A34005 416 60 Then then RB A34005 416 61 for for IN A34005 416 62 Stars Stars NNPS A34005 416 63 of of IN A34005 416 64 South South NNP A34005 416 65 Declination Declination NNP A34005 416 66 , , , A34005 416 67 rectifie rectifie VB A34005 416 68 the the DT A34005 416 69 Bead Bead NNP A34005 416 70 to to IN A34005 416 71 the the DT A34005 416 72 Star Star NNP A34005 416 73 proposed propose VBN A34005 416 74 , , , A34005 416 75 and and CC A34005 416 76 lay lie VBD A34005 416 77 the the DT A34005 416 78 Thread thread NN A34005 416 79 over over IN A34005 416 80 the the DT A34005 416 81 Stars Stars NNP A34005 416 82 hour hour NN A34005 416 83 in in IN A34005 416 84 the the DT A34005 416 85 Limb Limb NNP A34005 416 86 , , , A34005 416 87 and and CC A34005 416 88 the the DT A34005 416 89 Bead Bead NNP A34005 416 90 amongst amongst IN A34005 416 91 the the DT A34005 416 92 Parralels Parralels NNPS A34005 416 93 and and CC A34005 416 94 Azimuths Azimuths NNPS A34005 416 95 , , , A34005 416 96 shews shew VBZ A34005 416 97 the the DT A34005 416 98 Altitude Altitude NNP A34005 416 99 and and CC A34005 416 100 Azimuth Azimuth NNP A34005 416 101 of of IN A34005 416 102 the the DT A34005 416 103 Star Star NNP A34005 416 104 sought seek VBD A34005 416 105 . . . A34005 417 1 Example example NN A34005 417 2 . . . A34005 418 1 So so RB A34005 418 2 the the DT A34005 418 3 Bead Bead NNP A34005 418 4 being be VBG A34005 418 5 rectified rectified JJ A34005 418 6 to to IN A34005 418 7 the the DT A34005 418 8 great great JJ A34005 418 9 Dogg Dogg NNP A34005 418 10 , , , A34005 418 11 and and CC A34005 418 12 the the DT A34005 418 13 Thread thread NN A34005 418 14 laid lay VBD A34005 418 15 over over IN A34005 418 16 9 9 CD A34005 418 17 ho ho NN A34005 418 18 22′ 22′ CD A34005 418 19 in in IN A34005 418 20 the the DT A34005 418 21 Limb Limb NNP A34005 418 22 , , , A34005 418 23 the the DT A34005 418 24 Bead Bead NNP A34005 418 25 will will MD A34005 418 26 shew shew VB A34005 418 27 the the DT A34005 418 28 Altitude altitude NN A34005 418 29 of of IN A34005 418 30 that that DT A34005 418 31 Star Star NNP A34005 418 32 at at IN A34005 418 33 that that DT A34005 418 34 time time NN A34005 418 35 of of IN A34005 418 36 the the DT A34005 418 37 night night NN A34005 418 38 to to TO A34005 418 39 be be VB A34005 418 40 14d 14d NNS A34005 418 41 and and CC A34005 418 42 its -PRON- PRP$ A34005 418 43 Azimuth Azimuth NNP A34005 418 44 39d 39d NNPS A34005 418 45 from from IN A34005 418 46 the the DT A34005 418 47 South South NNP A34005 418 48 . . . A34005 419 1 The the DT A34005 419 2 Operation Operation NNP A34005 419 3 is be VBZ A34005 419 4 the the DT A34005 419 5 same same JJ A34005 419 6 for for IN A34005 419 7 Stars Stars NNPS A34005 419 8 of of IN A34005 419 9 North North NNP A34005 419 10 Declination Declination NNP A34005 419 11 when when WRB A34005 419 12 the the DT A34005 419 13 Stars Stars NNPS A34005 419 14 hour hour NN A34005 419 15 found find VBD A34005 419 16 as as IN A34005 419 17 before before IN A34005 419 18 is be VBZ A34005 419 19 not not RB A34005 419 20 more more RBR A34005 419 21 remote remote JJ A34005 419 22 from from IN A34005 419 23 the the DT A34005 419 24 South South NNP A34005 419 25 Meridian Meridian NNP A34005 419 26 then then RB A34005 419 27 6 6 CD A34005 419 28 hours hour NNS A34005 419 29 on on IN A34005 419 30 either either DT A34005 419 31 side side NN A34005 419 32 . . . A34005 420 1 But but CC A34005 420 2 if if IN A34005 420 3 it -PRON- PRP A34005 420 4 be be VBP A34005 420 5 more more JJR A34005 420 6 then then IN A34005 420 7 6 6 CD A34005 420 8 ho ho CC A34005 420 9 distance distance NN A34005 420 10 from from IN A34005 420 11 the the DT A34005 420 12 Meridian Meridian NNP A34005 420 13 as as IN A34005 420 14 before before IN A34005 420 15 6 6 CD A34005 420 16 after after IN A34005 420 17 its -PRON- PRP$ A34005 420 18 rising rising NN A34005 420 19 , , , A34005 420 20 or or CC A34005 420 21 after after IN A34005 420 22 it -PRON- PRP A34005 420 23 before before IN A34005 420 24 its -PRON- PRP$ A34005 420 25 setting setting NN A34005 420 26 , , , A34005 420 27 then then RB A34005 420 28 as as IN A34005 420 29 before before IN A34005 420 30 suggested suggest VBN A34005 420 31 , , , A34005 420 32 one one CD A34005 420 33 Bead Bead NNP A34005 420 34 must must MD A34005 420 35 be be VB A34005 420 36 rectified rectified JJ A34005 420 37 to to IN A34005 420 38 the the DT A34005 420 39 Star Star NNP A34005 420 40 , , , A34005 420 41 and and CC A34005 420 42 brought bring VBD A34005 420 43 to to IN A34005 420 44 the the DT A34005 420 45 Summer Summer NNP A34005 420 46 Ecliptick Ecliptick NNP A34005 420 47 , , , A34005 420 48 where where WRB A34005 420 49 the the DT A34005 420 50 Thread Thread NNP A34005 420 51 being be VBG A34005 420 52 duly duly RB A34005 420 53 extended extend VBN A34005 420 54 , , , A34005 420 55 another another DT A34005 420 56 must must MD A34005 420 57 be be VB A34005 420 58 set set VBN A34005 420 59 to to IN A34005 420 60 the the DT A34005 420 61 Winter Winter NNP A34005 420 62 Ecliptick Ecliptick NNP A34005 420 63 , , , A34005 420 64 and and CC A34005 420 65 afterwards afterwards RB A34005 420 66 the the DT A34005 420 67 Thread thread NN A34005 420 68 laid lay VBN A34005 420 69 over over IN A34005 420 70 the the DT A34005 420 71 Stars Stars NNP A34005 420 72 hour hour NN A34005 420 73 in in IN A34005 420 74 the the DT A34005 420 75 Limb Limb NNP A34005 420 76 , , , A34005 420 77 this this DT A34005 420 78 latter latter JJ A34005 420 79 Bead Bead NNP A34005 420 80 will will MD A34005 420 81 shew shew VB A34005 420 82 the the DT A34005 420 83 Stars Stars NNPS A34005 420 84 Azimuth Azimuth NNP A34005 420 85 and and CC A34005 420 86 Parralel Parralel NNP A34005 420 87 of of IN A34005 420 88 Altitude altitude NN A34005 420 89 in in IN A34005 420 90 the the DT A34005 420 91 reverted reverted JJ A34005 420 92 Tail Tail NNP A34005 420 93 above above IN A34005 420 94 the the DT A34005 420 95 upper upper JJ A34005 420 96 Horizon Horizon NNP A34005 420 97 . . . A34005 421 1 Example example NN A34005 421 2 . . . A34005 422 1 So so CC A34005 422 2 upon upon IN A34005 422 3 the the DT A34005 422 4 23 23 CD A34005 422 5 of of IN A34005 422 6 December December NNP A34005 422 7 , , , A34005 422 8 I -PRON- PRP A34005 422 9 would would MD A34005 422 10 know know VB A34005 422 11 what what WP A34005 422 12 Azimuth Azimuth NNP A34005 422 13 and and CC A34005 422 14 Altitude altitude VB A34005 422 15 the the DT A34005 422 16 Bulls Bulls NNP A34005 422 17 eye eye NN A34005 422 18 shall shall MD A34005 422 19 have have VB A34005 422 20 at at IN A34005 422 21 4 4 CD A34005 422 22 a a DT A34005 422 23 Clock Clock NNP A34005 422 24 5 5 CD A34005 422 25 minutes minute NNS A34005 422 26 past past IN A34005 422 27 the the DT A34005 422 28 morning morning NN A34005 422 29 following following NN A34005 422 30 . . . A34005 423 1 Time Time NNP A34005 423 2 proposed propose VBD A34005 423 3 4 4 CD A34005 423 4 h h NN A34005 423 5 5′ 5′ CD A34005 423 6 Complement Complement NNP A34005 423 7 of of IN A34005 423 8 Bulls Bulls NNP A34005 423 9 eye eye NN A34005 423 10 Ascension ascension NN A34005 423 11 — — : A34005 423 12 7 7 CD A34005 423 13 44 44 CD A34005 423 14 Suns Suns NNPS A34005 423 15 Asce Asce NNP A34005 423 16 ● ● CD A34005 423 17 sion sion NN A34005 423 18 23 23 CD A34005 423 19 of of IN A34005 423 20 December December NNP A34005 423 21 — — : A34005 423 22 6 6 CD A34005 423 23 53 53 CD A34005 423 24 12 12 CD A34005 423 25 rejected reject VBN A34005 423 26 rests rest NNS A34005 423 27 — — : A34005 423 28 6h 6h CD A34005 423 29 42′ 42′ CD A34005 423 30 Proceed Proceed NNP A34005 423 31 then then RB A34005 423 32 and and CC A34005 423 33 lay lay VB A34005 423 34 the the DT A34005 423 35 Thread Thread NNP A34005 423 36 over over IN A34005 423 37 42′ 42′ CD A34005 423 38 past past IN A34005 423 39 6 6 CD A34005 423 40 and and CC A34005 423 41 the the DT A34005 423 42 Bead Bead NNP A34005 423 43 among among IN A34005 423 44 the the DT A34005 423 45 other other JJ A34005 423 46 Paralels Paralels NNPS A34005 423 47 in in IN A34005 423 48 the the DT A34005 423 49 Tail Tail NNP A34005 423 50 sheweth sheweth NN A34005 423 51 the the DT A34005 423 52 Stars star NNS A34005 423 53 Altitude Altitude NNP A34005 423 54 to to TO A34005 423 55 be be VB A34005 423 56 6d 6d NNP A34005 423 57 and and CC A34005 423 58 its -PRON- PRP$ A34005 423 59 Azimuth Azimuth NNP A34005 423 60 from from IN A34005 423 61 the the DT A34005 423 62 Meridian Meridian NNP A34005 423 63 107d 107d NNP A34005 423 64 53′ 53′ CD A34005 423 65 These these DT A34005 423 66 two two CD A34005 423 67 Propositions Propositions NNPS A34005 423 68 have have VBP A34005 423 69 a a DT A34005 423 70 good good JJ A34005 423 71 tendency tendency NN A34005 423 72 in in IN A34005 423 73 them -PRON- PRP A34005 423 74 to to TO A34005 423 75 discover discover VB A34005 423 76 such such JJ A34005 423 77 Stars star NNS A34005 423 78 as as IN A34005 423 79 are be VBP A34005 423 80 upon upon IN A34005 423 81 the the DT A34005 423 82 Projection Projection NNP A34005 423 83 if if IN A34005 423 84 you -PRON- PRP A34005 423 85 know know VBP A34005 423 86 them -PRON- PRP A34005 423 87 not not RB A34005 423 88 , , , A34005 423 89 but but CC A34005 423 90 supposing suppose VBG A34005 423 91 them -PRON- PRP A34005 423 92 known know VBN A34005 423 93 the the DT A34005 423 94 Proposition Proposition NNP A34005 423 95 of of IN A34005 423 96 chiefest chief JJS A34005 423 97 use use NN A34005 423 98 is be VBZ A34005 423 99 By by IN A34005 423 100 having have VBG A34005 423 101 the the DT A34005 423 102 Altitude altitude NN A34005 423 103 of of IN A34005 423 104 a a DT A34005 423 105 Star Star NNP A34005 423 106 given give VBN A34005 423 107 to to TO A34005 423 108 find find VB A34005 423 109 out out RP A34005 423 110 the the DT A34005 423 111 true true JJ A34005 423 112 Time time NN A34005 423 113 of of IN A34005 423 114 the the DT A34005 423 115 night night NN A34005 423 116 , , , A34005 423 117 and and CC A34005 423 118 the the DT A34005 423 119 Azimuth Azimuth NNP A34005 423 120 of of IN A34005 423 121 that that DT A34005 423 122 Star Star NNP A34005 423 123 . . . A34005 424 1 If if IN A34005 424 2 the the DT A34005 424 3 Stars Stars NNPS A34005 424 4 observed observe VBD A34005 424 5 Altitude altitude NN A34005 424 6 be be VBP A34005 424 7 less less JJR A34005 424 8 then then RB A34005 424 9 its -PRON- PRP$ A34005 424 10 Altitude altitude NN A34005 424 11 at at IN A34005 424 12 6 6 CD A34005 424 13 ho ho NN A34005 424 14 : : : A34005 424 15 distance distance NN A34005 424 16 from from IN A34005 424 17 the the DT A34005 424 18 Meridian Meridian NNP A34005 424 19 ; ; : A34005 424 20 Bring bring VB A34005 424 21 the the DT A34005 424 22 Bead Bead NNP A34005 424 23 , , , A34005 424 24 rectified rectify VBD A34005 424 25 to to IN A34005 424 26 the the DT A34005 424 27 Star Star NNP A34005 424 28 , , , A34005 424 29 to to IN A34005 424 30 the the DT A34005 424 31 Summer Summer NNP A34005 424 32 Ecliptick Ecliptick NNP A34005 424 33 and and CC A34005 424 34 set set VB A34005 424 35 another another DT A34005 424 36 Bead Bead NNP A34005 424 37 to to IN A34005 424 38 the the DT A34005 424 39 Winter Winter NNP A34005 424 40 Ecliptick Ecliptick NNP A34005 424 41 , , , A34005 424 42 Then then RB A34005 424 43 carry carry VB A34005 424 44 it -PRON- PRP A34005 424 45 to to IN A34005 424 46 the the DT A34005 424 47 Parralell Parralell NNP A34005 424 48 of of IN A34005 424 49 Altitude Altitude NNP A34005 424 50 above above IN A34005 424 51 the the DT A34005 424 52 upper upper JJ A34005 424 53 Horizon Horizon NNP A34005 424 54 in in IN A34005 424 55 the the DT A34005 424 56 Reverted reverted JJ A34005 424 57 taile taile NN A34005 424 58 and and CC A34005 424 59 there there RB A34005 424 60 it -PRON- PRP A34005 424 61 will will MD A34005 424 62 shew shew VB A34005 424 63 the the DT A34005 424 64 Azimuth Azimuth NNP A34005 424 65 of of IN A34005 424 66 that that DT A34005 424 67 Star star NN A34005 424 68 ; ; : A34005 424 69 and and CC A34005 424 70 the the DT A34005 424 71 thread thread NN A34005 424 72 in in IN A34005 424 73 the the DT A34005 424 74 Limbe Limbe NNP A34005 424 75 shews shew VBZ A34005 424 76 the the DT A34005 424 77 houre houre NN A34005 424 78 . . . A34005 425 1 Example example NN A34005 425 2 . . . A34005 426 1 So so CC A34005 426 2 if if IN A34005 426 3 the the DT A34005 426 4 observed observed JJ A34005 426 5 Altitude altitude NN A34005 426 6 of of IN A34005 426 7 the the DT A34005 426 8 Bulls Bulls NNP A34005 426 9 eye eye NN A34005 426 10 were be VBD A34005 426 11 6d 6d NNP A34005 426 12 its -PRON- PRP$ A34005 426 13 Azimuth Azimuth NNP A34005 426 14 would would MD A34005 426 15 be be VB A34005 426 16 found find VBN A34005 426 17 to to TO A34005 426 18 be be VB A34005 426 19 107d 107d CD A34005 426 20 53′ 53′ CD A34005 426 21 from from IN A34005 426 22 the the DT A34005 426 23 South South NNP A34005 426 24 , , , A34005 426 25 and and CC A34005 426 26 its -PRON- PRP$ A34005 426 27 hour hour NN A34005 426 28 42′ 42′ CD A34005 426 29 past past IN A34005 426 30 6 6 CD A34005 426 31 from from IN A34005 426 32 the the DT A34005 426 33 Meridian Meridian NNP A34005 426 34 the the DT A34005 426 35 true true JJ A34005 426 36 time time NN A34005 426 37 would would MD A34005 426 38 be be VB A34005 426 39 found find VBN A34005 426 40 to to TO A34005 426 41 be be VB A34005 426 42 5 5 CD A34005 426 43 minutes minute NNS A34005 426 44 past past IN A34005 426 45 4 4 CD A34005 426 46 in in IN A34005 426 47 the the DT A34005 426 48 morning morning NN A34005 426 49 the the DT A34005 426 50 24 24 CD A34005 426 51 of of IN A34005 426 52 December December NNP A34005 426 53 . . . A34005 427 1 ho ho XX A34005 427 2 : : : A34005 427 3     _SP A34005 427 4 Complement Complement NNP A34005 427 5 of of IN A34005 427 6 ☉ ☉ NNP A34005 427 7 Ascension Ascension NNP A34005 427 8 the the DT A34005 427 9 23 23 CD A34005 427 10 of of IN A34005 427 11 December December NNP A34005 427 12 — — : A34005 427 13 5 5 CD A34005 427 14 7 7 CD A34005 427 15 Stars Stars NNPS A34005 427 16 hour hour NN A34005 427 17 — — : A34005 427 18 6 6 CD A34005 427 19 42 42 CD A34005 427 20 Stars star NNS A34005 427 21 Ascension ascension NN A34005 427 22 — — : A34005 427 23 4 4 CD A34005 427 24 16 16 CD A34005 427 25     _SP A34005 427 26 4 4 CD A34005 427 27 5 5 CD A34005 427 28 But but CC A34005 427 29 for for IN A34005 427 30 Stars star NNS A34005 427 31 that that WDT A34005 427 32 have have VBP A34005 427 33 South south JJ A34005 427 34 declination declination NN A34005 427 35 or or CC A34005 427 36 north north NN A34005 427 37 , , , A34005 427 38 when when WRB A34005 427 39 their -PRON- PRP$ A34005 427 40 Altitude altitude NN A34005 427 41 is be VBZ A34005 427 42 more more JJR A34005 427 43 then then RB A34005 427 44 their -PRON- PRP$ A34005 427 45 Altitude altitude NN A34005 427 46 being be VBG A34005 427 47 6 6 CD A34005 427 48 hours hour NNS A34005 427 49 from from IN A34005 427 50 the the DT A34005 427 51 Meridian Meridian NNP A34005 427 52 , , , A34005 427 53 this this DT A34005 427 54 trouble trouble NN A34005 427 55 of of IN A34005 427 56 rectifying rectify VBG A34005 427 57 two two CD A34005 427 58 Beads Beads NNPS A34005 427 59 is be VBZ A34005 427 60 shunned shun VBN A34005 427 61 ; ; : A34005 427 62 in in IN A34005 427 63 this this DT A34005 427 64 Case Case NNP A34005 427 65 only only RB A34005 427 66 bring bring VBP A34005 427 67 the the DT A34005 427 68 Bead Bead NNP A34005 427 69 that that WDT A34005 427 70 is be VBZ A34005 427 71 rectified rectified JJ A34005 427 72 to to IN A34005 427 73 the the DT A34005 427 74 Star Star NNP A34005 427 75 to to IN A34005 427 76 the the DT A34005 427 77 Parralel Parralel NNP A34005 427 78 of of IN A34005 427 79 Altitude Altitude NNP A34005 427 80 , , , A34005 427 81 and and CC A34005 427 82 there there RB A34005 427 83 among among IN A34005 427 84 the the DT A34005 427 85 Azimuths azimuth NNS A34005 427 86 it -PRON- PRP A34005 427 87 will will MD A34005 427 88 shew shew VB A34005 427 89 the the DT A34005 427 90 Stars Stars NNP A34005 427 91 Azimuth Azimuth NNP A34005 427 92 , , , A34005 427 93 and and CC A34005 427 94 the the DT A34005 427 95 Thread thread NN A34005 427 96 in in IN A34005 427 97 the the DT A34005 427 98 Limb Limb NNP A34005 427 99 intersects intersect VBZ A34005 427 100 the the DT A34005 427 101 Stars Stars NNP A34005 427 102 hour hour NN A34005 427 103 sought seek VBD A34005 427 104 . . . A34005 428 1 Example example NN A34005 428 2 . . . A34005 429 1 December December NNP A34005 429 2 11th 11th NN A34005 429 3 Bulls Bulls NNPS A34005 429 4 eye eye NN A34005 429 5 Altitude altitude NN A34005 429 6 39 39 CD A34005 429 7 ● ● . A34005 429 8 Azimuth azimuth NN A34005 429 9 from from IN A34005 429 10 the the DT A34005 429 11 South South NNP A34005 429 12 62d 62d CD A34005 429 13 48 48 CD A34005 429 14 Hours hour NNS A34005 429 15 from from IN A34005 429 16 the the DT A34005 429 17 Meridian Meridian NNP A34005 429 18 — — : A34005 429 19 8 8 CD A34005 429 20 h h NN A34005 429 21 56′ 56′ CD A34005 429 22 Complement Complement NNP A34005 429 23 of of IN A34005 429 24 ☉ ☉ NNP A34005 429 25 Ascension ascension NN A34005 429 26 — — : A34005 429 27 6 6 CD A34005 429 28 00 00 CD A34005 429 29 Ascension ascension NN A34005 429 30 of of IN A34005 429 31 Bulls Bulls NNP A34005 429 32 eye eye NN A34005 429 33 — — : A34005 429 34 4 4 CD A34005 429 35 16 16 CD A34005 429 36 The the DT A34005 429 37 true true JJ A34005 429 38 time time NN A34005 429 39 of of IN A34005 429 40 the the DT A34005 429 41 night night NN A34005 429 42 was be VBD A34005 429 43 12′ 12′ CD A34005 429 44 past past JJ A34005 429 45 7 7 CD A34005 429 46 of of IN A34005 429 47 the the DT A34005 429 48 Clock Clock NNP A34005 429 49 7 7 CD A34005 429 50 12 12 CD A34005 429 51 Another Another NNP A34005 429 52 Example Example NNP A34005 429 53 . . . A34005 430 1 The the DT A34005 430 2 great great JJ A34005 430 3 Doggs Doggs NNP A34005 430 4 observed observe VBD A34005 430 5 Altitude altitude NN A34005 430 6 being be VBG A34005 430 7 14d 14d NNS A34005 430 8 his -PRON- PRP$ A34005 430 9 Azimuth azimuth NN A34005 430 10 from from IN A34005 430 11 the the DT A34005 430 12 South South NNP A34005 430 13 would would MD A34005 430 14 be be VB A34005 430 15 39d 39d NNS A34005 430 16 . . . A34005 431 1 h h NNP A34005 431 2 m m NNP A34005 431 3 And and CC A34005 431 4 the the DT A34005 431 5 Stars Stars NNPS A34005 431 6 hour hour NN A34005 431 7 from from IN A34005 431 8 the the DT A34005 431 9 Meridian Meridian NNP A34005 431 10 — — : A34005 431 11 9 9 CD A34005 431 12 22 22 CD A34005 431 13 Stars star NNS A34005 431 14 Ascension ascension NN A34005 431 15 — — : A34005 431 16 6 6 CD A34005 431 17 30 30 CD A34005 431 18 If if IN A34005 431 19 this this DT A34005 431 20 Observation observation NN A34005 431 21 were be VBD A34005 431 22 upon upon IN A34005 431 23 the the DT A34005 431 24 31 31 CD A34005 431 25 of of IN A34005 431 26 December December NNP A34005 431 27 , , , A34005 431 28 the the DT A34005 431 29 Complement Complement NNP A34005 431 30 of of IN A34005 431 31 the the DT A34005 431 32 Suns Suns NNPS A34005 431 33 Ascension Ascension NNP A34005 431 34 would would MD A34005 431 35 be be VB A34005 431 36 — — : A34005 431 37 4 4 CD A34005 431 38 30 30 CD A34005 431 39     _SP A34005 431 40 8 8 CD A34005 431 41 22 22 CD A34005 431 42 And and CC A34005 431 43 the the DT A34005 431 44 true true JJ A34005 431 45 time time NN A34005 431 46 of of IN A34005 431 47 the the DT A34005 431 48 night night NN A34005 431 49 22 22 CD A34005 431 50 minutes minute NNS A34005 431 51 past past IN A34005 431 52 eight eight CD A34005 431 53 of of IN A34005 431 54 the the DT A34005 431 55 Clock Clock NNP A34005 431 56 . . . A34005 432 1 For for IN A34005 432 2 varieties variety NNS A34005 432 3 sake sake VBP A34005 432 4 there there EX A34005 432 5 is be VBZ A34005 432 6 also also RB A34005 432 7 added add VBN A34005 432 8 to to IN A34005 432 9 the the DT A34005 432 10 Book Book NNP A34005 432 11 a a DT A34005 432 12 Draught Draught NNP A34005 432 13 of of IN A34005 432 14 the the DT A34005 432 15 Projection Projection NNP A34005 432 16 for for IN A34005 432 17 the the DT A34005 432 18 Latitude Latitude NNP A34005 432 19 of of IN A34005 432 20 the the DT A34005 432 21 Barbados Barbados NNP A34005 432 22 ; ; : A34005 432 23 in in IN A34005 432 24 the the DT A34005 432 25 use use NN A34005 432 26 whereof whereof IN A34005 432 27 the the DT A34005 432 28 Reader reader NN A34005 432 29 may may MD A34005 432 30 observe observe VB A34005 432 31 that that IN A34005 432 32 every every DT A34005 432 33 day day NN A34005 432 34 when when WRB A34005 432 35 the the DT A34005 432 36 Sun Sun NNP A34005 432 37 comes come VBZ A34005 432 38 to to IN A34005 432 39 the the DT A34005 432 40 Meridian Meridian NNP A34005 432 41 between between IN A34005 432 42 the the DT A34005 432 43 Zenith Zenith NNP A34005 432 44 and and CC A34005 432 45 the the DT A34005 432 46 Elevated Elevated NNP A34005 432 47 Pole Pole NNP A34005 432 48 , , , A34005 432 49 he -PRON- PRP A34005 432 50 will will MD A34005 432 51 upon upon IN A34005 432 52 divers diver NNS A34005 432 53 Azimuths azimuth NNS A34005 432 54 in in IN A34005 432 55 the the DT A34005 432 56 forenoon forenoon NN A34005 432 57 ( ( -LRB- A34005 432 58 as as RB A34005 432 59 also also RB A34005 432 60 in in IN A34005 432 61 the the DT A34005 432 62 afternoon afternoon NN A34005 432 63 ) ) -RRB- A34005 432 64 have have VBP A34005 432 65 two two CD A34005 432 66 several several JJ A34005 432 67 Altitudes altitude NNS A34005 432 68 , , , A34005 432 69 and and CC A34005 432 70 so so RB A34005 432 71 be be VB A34005 432 72 twice twice RB A34005 432 73 before before IN A34005 432 74 noon noon NN A34005 432 75 , , , A34005 432 76 and and CC A34005 432 77 twice twice RB A34005 432 78 afternoon afternoon NN A34005 432 79 , , , A34005 432 80 at at IN A34005 432 81 several several JJ A34005 432 82 times time NNS A34005 432 83 of of IN A34005 432 84 the the DT A34005 432 85 day day NN A34005 432 86 , , , A34005 432 87 upon upon IN A34005 432 88 one one CD A34005 432 89 and and CC A34005 432 90 the the DT A34005 432 91 same same JJ A34005 432 92 Azimuth Azimuth NNP A34005 432 93 , , , A34005 432 94 viz viz NN A34005 432 95 . . . A34005 433 1 only only RB A34005 433 2 upon upon IN A34005 433 3 such such JJ A34005 433 4 as as IN A34005 433 5 lye lye NN A34005 433 6 between between IN A34005 433 7 the the DT A34005 433 8 Suns Suns NNPS A34005 433 9 Coast Coast NNP A34005 433 10 of of IN A34005 433 11 rising rise VBG A34005 433 12 and and CC A34005 433 13 setting set VBG A34005 433 14 , , , A34005 433 15 and and CC A34005 433 16 his -PRON- PRP$ A34005 433 17 remotest remotest NN A34005 433 18 Azimuth Azimuth NNP A34005 433 19 from from IN A34005 433 20 the the DT A34005 433 21 Meridian Meridian NNP A34005 433 22 , , , A34005 433 23 which which WDT A34005 433 24 causeth causeth NNP A34005 433 25 the the DT A34005 433 26 going go VBG A34005 433 27 forward forward RB A34005 433 28 and and CC A34005 433 29 backward backward JJ A34005 433 30 of of IN A34005 433 31 the the DT A34005 433 32 shaddow shaddow NNP A34005 433 33 ; ; : A34005 433 34 but but CC A34005 433 35 of of IN A34005 433 36 this this DT A34005 433 37 more more RBR A34005 433 38 hereafter hereafter RB A34005 433 39 , , , A34005 433 40 when when WRB A34005 433 41 I -PRON- PRP A34005 433 42 come come VBP A34005 433 43 to to TO A34005 433 44 treat treat VB A34005 433 45 of of IN A34005 433 46 Calculating calculate VBG A34005 433 47 the the DT A34005 433 48 Suns Suns NNPS A34005 433 49 Altitude Altitude NNP A34005 433 50 on on IN A34005 433 51 all all DT A34005 433 52 Azimuths azimuth NNS A34005 433 53 ; ; : A34005 433 54 It -PRON- PRP A34005 433 55 may may MD A34005 433 56 also also RB A34005 433 57 be be VB A34005 433 58 observed observe VBN A34005 433 59 that that IN A34005 433 60 the the DT A34005 433 61 Sun Sun NNP A34005 433 62 for for IN A34005 433 63 the the DT A34005 433 64 most most JJS A34005 433 65 part part NN A34005 433 66 in in IN A34005 433 67 those those DT A34005 433 68 Latitudes Latitudes NNPS A34005 433 69 hath hath VBP A34005 433 70 no no DT A34005 433 71 Vertical Vertical NNP A34005 433 72 Altitude Altitude NNP A34005 433 73 or or CC A34005 433 74 Depression Depression NNP A34005 433 75 , , , A34005 433 76 and and CC A34005 433 77 so so RB A34005 433 78 comes come VBZ A34005 433 79 not not RB A34005 433 80 to to IN A34005 433 81 the the DT A34005 433 82 East East NNP A34005 433 83 or or CC A34005 433 84 West West NNP A34005 433 85 . . . A34005 434 1 Moreover moreover RB A34005 434 2 there there EX A34005 434 3 is be VBZ A34005 434 4 added add VBN A34005 434 5 a a DT A34005 434 6 Draught Draught NNP A34005 434 7 of of IN A34005 434 8 this this DT A34005 434 9 Projection Projection NNP A34005 434 10 for for IN A34005 434 11 the the DT A34005 434 12 Latitude Latitude NNP A34005 434 13 of of IN A34005 434 14 Greenland Greenland NNP A34005 434 15 , , , A34005 434 16 in in IN A34005 434 17 the the DT A34005 434 18 use use NN A34005 434 19 whereof whereof IN A34005 434 20 it -PRON- PRP A34005 434 21 may may MD A34005 434 22 be be VB A34005 434 23 observed observe VBN A34005 434 24 that that IN A34005 434 25 the the DT A34005 434 26 Sun Sun NNP A34005 434 27 , , , A34005 434 28 a a DT A34005 434 29 good good JJ A34005 434 30 part part NN A34005 434 31 of of IN A34005 434 32 the the DT A34005 434 33 Summer Summer NNP A34005 434 34 half half NN A34005 434 35 year year NN A34005 434 36 comes come VBZ A34005 434 37 not not RB A34005 434 38 to to IN A34005 434 39 the the DT A34005 434 40 Horizon Horizon NNP A34005 434 41 , , , A34005 434 42 and and CC A34005 434 43 so so RB A34005 434 44 neither neither CC A34005 434 45 riseth riseth NN A34005 434 46 nor nor CC A34005 434 47 sets set NNS A34005 434 48 . . . A34005 435 1 And and CC A34005 435 2 that that IN A34005 435 3 no no DT A34005 435 4 convenient convenient JJ A34005 435 5 Way way NN A34005 435 6 that that IN A34005 435 7 this this DT A34005 435 8 Projection projection NN A34005 435 9 can can MD A34005 435 10 be be VB A34005 435 11 made make VBN A34005 435 12 should should MD A34005 435 13 be be VB A34005 435 14 omitted omit VBN A34005 435 15 , , , A34005 435 16 there there EX A34005 435 17 is be VBZ A34005 435 18 also also RB A34005 435 19 one one CD A34005 435 20 drawn draw VBN A34005 435 21 in in IN A34005 435 22 a a DT A34005 435 23 Semi Semi NNP A34005 435 24 - - NNP A34005 435 25 Circle Circle NNP A34005 435 26 for for IN A34005 435 27 our -PRON- PRP$ A34005 435 28 own own JJ A34005 435 29 Latitude Latitude NNP A34005 435 30 , , , A34005 435 31 which which WDT A34005 435 32 in in IN A34005 435 33 the the DT A34005 435 34 use use NN A34005 435 35 will will MD A34005 435 36 be be VB A34005 435 37 more more RBR A34005 435 38 facile facile JJ A34005 435 39 then then RB A34005 435 40 a a DT A34005 435 41 Quadrant Quadrant NNP A34005 435 42 , , , A34005 435 43 there there EX A34005 435 44 being be VBG A34005 435 45 no no DT A34005 435 46 trouble trouble NN A34005 435 47 before before IN A34005 435 48 or or CC A34005 435 49 after after IN A34005 435 50 six six CD A34005 435 51 in in IN A34005 435 52 the the DT A34005 435 53 Summer Summer NNP A34005 435 54 time time NN A34005 435 55 , , , A34005 435 56 with with IN A34005 435 57 rectifying rectify VBG A34005 435 58 another another DT A34005 435 59 Bead Bead NNP A34005 435 60 to to TO A34005 435 61 perform perform VB A34005 435 62 the the DT A34005 435 63 Operation operation NN A34005 435 64 in in IN A34005 435 65 the the DT A34005 435 66 reverted reverted JJ A34005 435 67 Taile taile NN A34005 435 68 , , , A34005 435 69 neither neither CC A34005 435 70 doth doth JJ A34005 435 71 the the DT A34005 435 72 Drawing Drawing NNP A34005 435 73 hereof hereof NNP A34005 435 74 occupy occupy NNP A34005 435 75 near near IN A34005 435 76 the the DT A34005 435 77 Breadth Breadth NNP A34005 435 78 , , , A34005 435 79 as as IN A34005 435 80 in in IN A34005 435 81 a a DT A34005 435 82 Quadrant Quadrant NNP A34005 435 83 , , , A34005 435 84 and and CC A34005 435 85 so so RB A34005 435 86 besides besides IN A34005 435 87 the the DT A34005 435 88 ease ease NN A34005 435 89 in in IN A34005 435 90 the the DT A34005 435 91 use use NN A34005 435 92 is be VBZ A34005 435 93 more more RBR A34005 435 94 exact exact JJ A34005 435 95 in in IN A34005 435 96 the the DT A34005 435 97 performance performance NN A34005 435 98 ; ; : A34005 435 99 there there EX A34005 435 100 being be VBG A34005 435 101 no no DT A34005 435 102 other other JJ A34005 435 103 Rule Rule NNP A34005 435 104 required require VBN A34005 435 105 for for IN A34005 435 106 rectifying rectify VBG A34005 435 107 the the DT A34005 435 108 Bead Bead NNP A34005 435 109 , , , A34005 435 110 but but CC A34005 435 111 to to TO A34005 435 112 lay lay VB A34005 435 113 the the DT A34005 435 114 Thread thread NN A34005 435 115 over over IN A34005 435 116 the the DT A34005 435 117 day day NN A34005 435 118 of of IN A34005 435 119 the the DT A34005 435 120 Month Month NNP A34005 435 121 , , , A34005 435 122 and and CC A34005 435 123 to to TO A34005 435 124 set set VB A34005 435 125 the the DT A34005 435 126 Bead Bead NNP A34005 435 127 to to IN A34005 435 128 that that DT A34005 435 129 Ecliptick ecliptick VB A34005 435 130 the the DT A34005 435 131 Thread Thread NNP A34005 435 132 intersects intersect NNS A34005 435 133 . . . A34005 436 1 A a DT A34005 436 2 Semi Semi NNP A34005 436 3 - - HYPH A34005 436 4 Circle Circle NNP A34005 436 5 is be VBZ A34005 436 6 an an DT A34005 436 7 Instrument Instrument NNP A34005 436 8 commonly commonly RB A34005 436 9 used use VBN A34005 436 10 in in IN A34005 436 11 Surveigh Surveigh NNP A34005 436 12 , , , A34005 436 13 and and CC A34005 436 14 then then RB A34005 436 15 it -PRON- PRP A34005 436 16 requires require VBZ A34005 436 17 a a DT A34005 436 18 large large JJ A34005 436 19 Center Center NNP A34005 436 20 - - HYPH A34005 436 21 hole hole NN A34005 436 22 ; ; : A34005 436 23 however however RB A34005 436 24 this this DT A34005 436 25 Projection projection NN A34005 436 26 may may MD A34005 436 27 be be VB A34005 436 28 drawn draw VBN A34005 436 29 on on IN A34005 436 30 a a DT A34005 436 31 Semi Semi NNP A34005 436 32 - - NNP A34005 436 33 Circle Circle NNP A34005 436 34 for for IN A34005 436 35 Surveigh Surveigh NNP A34005 436 36 , , , A34005 436 37 but but CC A34005 436 38 when when WRB A34005 436 39 used use VBN A34005 436 40 at at IN A34005 436 41 home home NN A34005 436 42 there there EX A34005 436 43 must must MD A34005 436 44 a a DT A34005 436 45 moveable moveable JJ A34005 436 46 round round JJ A34005 436 47 Bit Bit NNP A34005 436 48 of of IN A34005 436 49 brass brass NN A34005 436 50 be be VB A34005 436 51 contrived contrive VBN A34005 436 52 to to TO A34005 436 53 stop stop VB A34005 436 54 up up RP A34005 436 55 that that DT A34005 436 56 great great JJ A34005 436 57 Center Center NNP A34005 436 58 - - HYPH A34005 436 59 hole hole NNP A34005 436 60 , , , A34005 436 61 in in IN A34005 436 62 which which WDT A34005 436 63 must must MD A34005 436 64 be be VB A34005 436 65 a a DT A34005 436 66 small small JJ A34005 436 67 Center Center NNP A34005 436 68 - - HYPH A34005 436 69 hole hole NN A34005 436 70 for for IN A34005 436 71 a a DT A34005 436 72 Thread Thread NNP A34005 436 73 and and CC A34005 436 74 Plummet Plummet NNP A34005 436 75 to to TO A34005 436 76 be be VB A34005 436 77 fastned fastne VBN A34005 436 78 , , , A34005 436 79 as as IN A34005 436 80 for for IN A34005 436 81 a a DT A34005 436 82 Quadrant Quadrant NNP A34005 436 83 and and CC A34005 436 84 some some DT A34005 436 85 have have VBP A34005 436 86 been be VBN A34005 436 87 so so RB A34005 436 88 fitted fit VBN A34005 436 89 . . . A34005 437 1 The the DT A34005 437 2 Reader reader NN A34005 437 3 will will MD A34005 437 4 meet meet VB A34005 437 5 with with IN A34005 437 6 variety variety NN A34005 437 7 of of IN A34005 437 8 Lines line NNS A34005 437 9 and and CC A34005 437 10 furniture furniture NN A34005 437 11 in in IN A34005 437 12 this this DT A34005 437 13 Book Book NNP A34005 437 14 to to TO A34005 437 15 be be VB A34005 437 16 put put VBN A34005 437 17 in in IN A34005 437 18 the the DT A34005 437 19 Limb Limb NNP A34005 437 20 , , , A34005 437 21 or or CC A34005 437 22 on on IN A34005 437 23 other other JJ A34005 437 24 parts part NNS A34005 437 25 of of IN A34005 437 26 the the DT A34005 437 27 Semicircle Semicircle NNP A34005 437 28 , , , A34005 437 29 as as IN A34005 437 30 he -PRON- PRP A34005 437 31 best well RBS A34005 437 32 liketh liketh VBD A34005 437 33 . . . A34005 438 1 The the DT A34005 438 2 Projection Projection NNP A34005 438 3 for for IN A34005 438 4 the the DT A34005 438 5 Barbados Barbados NNP A34005 438 6 & & CC A34005 438 7 Greenland Greenland NNP A34005 438 8 , , , A34005 438 9 are be VBP A34005 438 10 drawn draw VBN A34005 438 11 by by IN A34005 438 12 the the DT A34005 438 13 same same JJ A34005 438 14 Rules Rules NNPS A34005 438 15 delivered deliver VBN A34005 438 16 in in IN A34005 438 17 the the DT A34005 438 18 Description description NN A34005 438 19 of of IN A34005 438 20 the the DT A34005 438 21 Quadrant Quadrant NNP A34005 438 22 , , , A34005 438 23 and and CC A34005 438 24 so so RB A34005 438 25 also also RB A34005 438 26 is be VBZ A34005 438 27 the the DT A34005 438 28 Summer Summer NNP A34005 438 29 part part NN A34005 438 30 of of IN A34005 438 31 this this DT A34005 438 32 Semi Semi NNP A34005 438 33 - - NNP A34005 438 34 Circle Circle NNP A34005 438 35 , , , A34005 438 36 and and CC A34005 438 37 the the DT A34005 438 38 Winter Winter NNP A34005 438 39 part part NN A34005 438 40 by by IN A34005 438 41 the the DT A34005 438 42 same same JJ A34005 438 43 Rules rule NNS A34005 438 44 that that WDT A34005 438 45 were be VBD A34005 438 46 given give VBN A34005 438 47 for for IN A34005 438 48 drawing draw VBG A34005 438 49 the the DT A34005 438 50 Reverted reverted JJ A34005 438 51 Taile Taile NNP A34005 438 52 . . . A34005 439 1 Of of IN A34005 439 2 the the DT A34005 439 3 Quadrant Quadrant NNP A34005 439 4 of of IN A34005 439 5 Ascensions Ascensions NNPS A34005 439 6 . . . A34005 440 1 The the DT A34005 440 2 turning turning NN A34005 440 3 of of IN A34005 440 4 the the DT A34005 440 5 Stars Stars NNPS A34005 440 6 hour hour NN A34005 440 7 into into IN A34005 440 8 the the DT A34005 440 9 Suns Suns NNP A34005 440 10 hour hour NN A34005 440 11 and and CC A34005 440 12 the the DT A34005 440 13 the the DT A34005 440 14 converse converse NN A34005 440 15 may may MD A34005 440 16 be be VB A34005 440 17 also also RB A34005 440 18 done do VBN A34005 440 19 by by IN A34005 440 20 Compasses compass NNS A34005 440 21 upon upon IN A34005 440 22 the the DT A34005 440 23 Quadrant Quadrant NNP A34005 440 24 of of IN A34005 440 25 Ascensions Ascensions NNPS A34005 440 26 on on IN A34005 440 27 the the DT A34005 440 28 back back JJ A34005 440 29 side side NN A34005 440 30 . . . A34005 441 1 To to TO A34005 441 2 turn turn VB A34005 441 3 the the DT A34005 441 4 Stars Stars NNPS A34005 441 5 Hour Hour NNP A34005 441 6 into into IN A34005 441 7 common common JJ A34005 441 8 time time NN A34005 441 9 , , , A34005 441 10 called call VBN A34005 441 11 the the DT A34005 441 12 Suns Suns NNP A34005 441 13 hour hour NN A34005 441 14 . . . A34005 442 1 THe the DT A34005 442 2 Arithmetical Arithmetical NNP A34005 442 3 Rule Rule NNP A34005 442 4 formerly formerly RB A34005 442 5 given give VBN A34005 442 6 is be VBZ A34005 442 7 nothing nothing NN A34005 442 8 but but IN A34005 442 9 an an DT A34005 442 10 abridgment abridgment NN A34005 442 11 of of IN A34005 442 12 the the DT A34005 442 13 Rule Rule NNP A34005 442 14 delivered deliver VBN A34005 442 15 by by IN A34005 442 16 Mr. Mr. NNP A34005 442 17 Gunter Gunter NNP A34005 442 18 , , , A34005 442 19 and and CC A34005 442 20 others other NNS A34005 442 21 , , , A34005 442 22 and and CC A34005 442 23 the the DT A34005 442 24 work work NN A34005 442 25 to to TO A34005 442 26 be be VB A34005 442 27 done do VBN A34005 442 28 by by IN A34005 442 29 Compasses compass NNS A34005 442 30 , , , A34005 442 31 differeth differeth VBZ A34005 442 32 somewhat somewhat RB A34005 442 33 from from IN A34005 442 34 it -PRON- PRP A34005 442 35 , , , A34005 442 36 though though IN A34005 442 37 it -PRON- PRP A34005 442 38 produce produce VBP A34005 442 39 the the DT A34005 442 40 same same JJ A34005 442 41 Conclusion Conclusion NNP A34005 442 42 which which WDT A34005 442 43 is be VBZ A34005 442 44 : : : A34005 442 45 To to TO A34005 442 46 get get VB A34005 442 47 the the DT A34005 442 48 difference difference NN A34005 442 49 between between IN A34005 442 50 the the DT A34005 442 51 Ascension ascension NN A34005 442 52 of of IN A34005 442 53 the the DT A34005 442 54 Sun Sun NNP A34005 442 55 and and CC A34005 442 56 the the DT A34005 442 57 Star Star NNP A34005 442 58 by by IN A34005 442 59 substracting substracte VBG A34005 442 60 the the DT A34005 442 61 less less JJR A34005 442 62 from from IN A34005 442 63 the the DT A34005 442 64 greater great JJR A34005 442 65 ; ; : A34005 442 66 this this DT A34005 442 67 remainder remainder NN A34005 442 68 is be VBZ A34005 442 69 to to TO A34005 442 70 be be VB A34005 442 71 added add VBN A34005 442 72 to to IN A34005 442 73 the the DT A34005 442 74 Stars Stars NNP A34005 442 75 hour hour NN A34005 442 76 , , , A34005 442 77 when when WRB A34005 442 78 the the DT A34005 442 79 Star Star NNP A34005 442 80 is be VBZ A34005 442 81 before before RB A34005 442 82 , , , A34005 442 83 or or CC A34005 442 84 hath hath NNP A34005 442 85 more more JJR A34005 442 86 Ascension ascension NN A34005 442 87 then then RB A34005 442 88 the the DT A34005 442 89 Sun Sun NNP A34005 442 90 , , , A34005 442 91 but but CC A34005 442 92 otherwise otherwise RB A34005 442 93 to to TO A34005 442 94 be be VB A34005 442 95 substracted substracte VBN A34005 442 96 from from IN A34005 442 97 it -PRON- PRP A34005 442 98 , , , A34005 442 99 and and CC A34005 442 100 the the DT A34005 442 101 Sum Sum NNP A34005 442 102 or or CC A34005 442 103 remainder remainder NN A34005 442 104 is be VBZ A34005 442 105 the the DT A34005 442 106 true true JJ A34005 442 107 time time NN A34005 442 108 sought seek VBD A34005 442 109 . . . A34005 443 1 To to TO A34005 443 2 do do VB A34005 443 3 this this DT A34005 443 4 with with IN A34005 443 5 Compasses compass NNS A34005 443 6 , , , A34005 443 7 take take VB A34005 443 8 the the DT A34005 443 9 distance distance NN A34005 443 10 between between IN A34005 443 11 the the DT A34005 443 12 Star Star NNP A34005 443 13 and and CC A34005 443 14 the the DT A34005 443 15 Suns Suns NNPS A34005 443 16 Ascension Ascension NNP A34005 443 17 , , , A34005 443 18 and and CC A34005 443 19 set set VBD A34005 443 20 the the DT A34005 443 21 Suns Suns NNPS A34005 443 22 foot foot NN A34005 443 23 to to IN A34005 443 24 the the DT A34005 443 25 observed observed JJ A34005 443 26 hour hour NN A34005 443 27 of of IN A34005 443 28 the the DT A34005 443 29 Star Star NNP A34005 443 30 from from IN A34005 443 31 the the DT A34005 443 32 Meridian Meridian NNP A34005 443 33 it -PRON- PRP A34005 443 34 was be VBD A34005 443 35 last last JJ A34005 443 36 upon upon IN A34005 443 37 , , , A34005 443 38 letting let VBG A34005 443 39 the the DT A34005 443 40 other other JJ A34005 443 41 foot foot NN A34005 443 42 fall fall VB A34005 443 43 the the DT A34005 443 44 same same JJ A34005 443 45 way way NN A34005 443 46 it -PRON- PRP A34005 443 47 stood stand VBD A34005 443 48 before before RB A34005 443 49 , , , A34005 443 50 and and CC A34005 443 51 it -PRON- PRP A34005 443 52 sheweth sheweth VBZ A34005 443 53 the the DT A34005 443 54 time time NN A34005 443 55 sought seek VBD A34005 443 56 , , , A34005 443 57 if if IN A34005 443 58 it -PRON- PRP A34005 443 59 doth doth VBP A34005 443 60 not not RB A34005 443 61 fall fall VB A34005 443 62 off off RP A34005 443 63 the the DT A34005 443 64 Quadrant Quadrant NNP A34005 443 65 . . . A34005 444 1 If if IN A34005 444 2 it -PRON- PRP A34005 444 3 doth doth JJ A34005 444 4 , , , A34005 444 5 the the DT A34005 444 6 work work NN A34005 444 7 will will MD A34005 444 8 be be VB A34005 444 9 to to TO A34005 444 10 finde finde VB A34005 444 11 how how WRB A34005 444 12 much much JJ A34005 444 13 it -PRON- PRP A34005 444 14 doth doth JJ A34005 444 15 excur excur NN A34005 444 16 , , , A34005 444 17 and and CC A34005 444 18 this this DT A34005 444 19 may may MD A34005 444 20 be be VB A34005 444 21 done do VBN A34005 444 22 by by IN A34005 444 23 bringing bring VBG A34005 444 24 it -PRON- PRP A34005 444 25 to to IN A34005 444 26 the the DT A34005 444 27 end end NN A34005 444 28 beyond beyond IN A34005 444 29 which which WDT A34005 444 30 it -PRON- PRP A34005 444 31 falleth falleth VBD A34005 444 32 , , , A34005 444 33 letting let VBG A34005 444 34 the the DT A34005 444 35 other other JJ A34005 444 36 foot foot NN A34005 444 37 fall fall VB A34005 444 38 inward inward RB A34005 444 39 , , , A34005 444 40 the the DT A34005 444 41 distance distance NN A34005 444 42 then then RB A34005 444 43 between between IN A34005 444 44 the the DT A34005 444 45 place place NN A34005 444 46 where where WRB A34005 444 47 it -PRON- PRP A34005 444 48 now now RB A34005 444 49 falleth falleth JJ A34005 444 50 , , , A34005 444 51 and and CC A34005 444 52 where where WRB A34005 444 53 it -PRON- PRP A34005 444 54 stood stand VBD A34005 444 55 before before RB A34005 444 56 , , , A34005 444 57 which which WDT A34005 444 58 was be VBD A34005 444 59 at at IN A34005 444 60 the the DT A34005 444 61 Stars Stars NNP A34005 444 62 hour hour NN A34005 444 63 , , , A34005 444 64 is be VBZ A34005 444 65 equal equal JJ A34005 444 66 to to IN A34005 444 67 the the DT A34005 444 68 said say VBN A34005 444 69 excursion excursion NN A34005 444 70 , , , A34005 444 71 which which WDT A34005 444 72 being be VBG A34005 444 73 taken take VBN A34005 444 74 , , , A34005 444 75 and and CC A34005 444 76 measured measure VBN A34005 444 77 on on IN A34005 444 78 the the DT A34005 444 79 other other JJ A34005 444 80 end end NN A34005 444 81 of of IN A34005 444 82 the the DT A34005 444 83 Scale Scale NNP A34005 444 84 , , , A34005 444 85 shews shew VBZ A34005 444 86 the the DT A34005 444 87 time time NN A34005 444 88 sought seek VBD A34005 444 89 . . . A34005 445 1 This this DT A34005 445 2 trouble trouble NN A34005 445 3 may may MD A34005 445 4 be be VB A34005 445 5 prevented prevent VBN A34005 445 6 in in IN A34005 445 7 all all DT A34005 445 8 Cases case NNS A34005 445 9 , , , A34005 445 10 by by IN A34005 445 11 having have VBG A34005 445 12 12 12 CD A34005 445 13 hours hour NNS A34005 445 14 more more RBR A34005 445 15 repeated repeat VBN A34005 445 16 after after IN A34005 445 17 the the DT A34005 445 18 first first JJ A34005 445 19 12 12 CD A34005 445 20 , , , A34005 445 21 or or CC A34005 445 22 6 6 CD A34005 445 23 hours hour NNS A34005 445 24 more more JJR A34005 445 25 may may MD A34005 445 26 serve serve VB A34005 445 27 turn turn VB A34005 445 28 if if IN A34005 445 29 the the DT A34005 445 30 whole whole JJ A34005 445 31 18 18 CD A34005 445 32 hours hour NNS A34005 445 33 be be VB A34005 445 34 also also RB A34005 445 35 double double RB A34005 445 36 numbred numbre VBN A34005 445 37 , , , A34005 445 38 and and CC A34005 445 39 Stars Stars NNPS A34005 445 40 names name NNS A34005 445 41 being be VBG A34005 445 42 set set VBN A34005 445 43 to to IN A34005 445 44 the the DT A34005 445 45 Additional additional JJ A34005 445 46 hours hour NNS A34005 445 47 , , , A34005 445 48 possibly possibly RB A34005 445 49 the the DT A34005 445 50 Suns Suns NNPS A34005 445 51 Ascension Ascension NNP A34005 445 52 and and CC A34005 445 53 Star Star NNP A34005 445 54 do do VBP A34005 445 55 not not RB A34005 445 56 both both DT A34005 445 57 fall fall VB A34005 445 58 in in IN A34005 445 59 the the DT A34005 445 60 same same JJ A34005 445 61 12 12 CD A34005 445 62 hours hour NNS A34005 445 63 , , , A34005 445 64 yet yet RB A34005 445 65 notwithstanding notwithstanding IN A34005 445 66 the the DT A34005 445 67 distance distance NN A34005 445 68 is be VBZ A34005 445 69 to to TO A34005 445 70 be be VB A34005 445 71 taken take VBN A34005 445 72 in in IN A34005 445 73 the the DT A34005 445 74 same same JJ A34005 445 75 12 12 CD A34005 445 76 hours hour NNS A34005 445 77 between between IN A34005 445 78 the the DT A34005 445 79 quantity quantity NN A34005 445 80 of of IN A34005 445 81 the the DT A34005 445 82 Suns Suns NNPS A34005 445 83 Ascension Ascension NNP A34005 445 84 and and CC A34005 445 85 the the DT A34005 445 86 Stars Stars NNPS A34005 445 87 , , , A34005 445 88 and and CC A34005 445 89 to to TO A34005 445 90 proceed proceed VB A34005 445 91 therewith therewith NNP A34005 445 92 as as IN A34005 445 93 before before RB A34005 445 94 , , , A34005 445 95 and and CC A34005 445 96 the the DT A34005 445 97 Compasses Compasses NNPS A34005 445 98 will will MD A34005 445 99 never never RB A34005 445 100 excur excur VB A34005 445 101 ; ; : A34005 445 102 in in IN A34005 445 103 the the DT A34005 445 104 numbring numbring NN A34005 445 105 of of IN A34005 445 106 these these DT A34005 445 107 hours hour NNS A34005 445 108 , , , A34005 445 109 after after IN A34005 445 110 12 12 CD A34005 445 111 are be VBP A34005 445 112 numbred numbre VBN A34005 445 113 they -PRON- PRP A34005 445 114 are be VBP A34005 445 115 to to TO A34005 445 116 begin begin VB A34005 445 117 again again RB A34005 445 118 , , , A34005 445 119 and and CC A34005 445 120 are be VBP A34005 445 121 numbred numbre VBN A34005 445 122 as as IN A34005 445 123 before before RB A34005 445 124 , , , A34005 445 125 and and CC A34005 445 126 not not RB A34005 445 127 with with IN A34005 445 128 13 13 CD A34005 445 129 , , , A34005 445 130 14 14 CD A34005 445 131 , , , A34005 445 132 & & CC A34005 445 133 c. c. NNP A34005 445 134 And and CC A34005 445 135 this this DT A34005 445 136 trouble trouble NN A34005 445 137 may may MD A34005 445 138 be be VB A34005 445 139 shunned shun VBN A34005 445 140 when when WRB A34005 445 141 there there EX A34005 445 142 is be VBZ A34005 445 143 but but CC A34005 445 144 12 12 CD A34005 445 145 hours hour NNS A34005 445 146 by by IN A34005 445 147 assuming assume VBG A34005 445 148 any any DT A34005 445 149 hour hour NN A34005 445 150 to to TO A34005 445 151 be be VB A34005 445 152 the the DT A34005 445 153 Stars Stars NNP A34005 445 154 hour hour NN A34005 445 155 , , , A34005 445 156 with with IN A34005 445 157 such such JJ A34005 445 158 condition condition NN A34005 445 159 that that IN A34005 445 160 the the DT A34005 445 161 other other JJ A34005 445 162 foot foot NN A34005 445 163 may may MD A34005 445 164 fall fall VB A34005 445 165 upon upon IN A34005 445 166 the the DT A34005 445 167 Line Line NNP A34005 445 168 ; ; : A34005 445 169 and and CC A34005 445 170 the the DT A34005 445 171 said say VBD A34005 445 172 assumed assumed JJ A34005 445 173 hour hour NN A34005 445 174 representing represent VBG A34005 445 175 the the DT A34005 445 176 Stars Stars NNP A34005 445 177 hour hour NN A34005 445 178 ; ; : A34005 445 179 count count VB A34005 445 180 from from IN A34005 445 181 it -PRON- PRP A34005 445 182 the the DT A34005 445 183 time time NN A34005 445 184 duly duly RB A34005 445 185 in in IN A34005 445 186 order order NN A34005 445 187 , , , A34005 445 188 till till IN A34005 445 189 you -PRON- PRP A34005 445 190 fall fall VBP A34005 445 191 upon upon IN A34005 445 192 the the DT A34005 445 193 other other JJ A34005 445 194 foot foot NN A34005 445 195 of of IN A34005 445 196 the the DT A34005 445 197 Compasses Compasses NNPS A34005 445 198 , , , A34005 445 199 and and CC A34005 445 200 you -PRON- PRP A34005 445 201 will will MD A34005 445 202 obtain obtain VB A34005 445 203 the the DT A34005 445 204 true true JJ A34005 445 205 time time NN A34005 445 206 sought seek VBD A34005 445 207 . . . A34005 446 1 To to TO A34005 446 2 turn turn VB A34005 446 3 common common JJ A34005 446 4 time time NN A34005 446 5 , , , A34005 446 6 or or CC A34005 446 7 the the DT A34005 446 8 Suns Suns NNPS A34005 446 9 hour hour NN A34005 446 10 into into IN A34005 446 11 the the DT A34005 446 12 Stars Stars NNP A34005 446 13 hour hour NN A34005 446 14 . . . A34005 447 1 THis this DT A34005 447 2 is be VBZ A34005 447 3 the the DT A34005 447 4 Converse Converse NNP A34005 447 5 of of IN A34005 447 6 the the DT A34005 447 7 former former JJ A34005 447 8 ; ; : A34005 447 9 take take VB A34005 447 10 the the DT A34005 447 11 distance distance NN A34005 447 12 between between IN A34005 447 13 the the DT A34005 447 14 Star Star NNP A34005 447 15 and and CC A34005 447 16 the the DT A34005 447 17 quantity quantity NN A34005 447 18 of of IN A34005 447 19 the the DT A34005 447 20 Suns Suns NNPS A34005 447 21 Ascension Ascension NNP A34005 447 22 , , , A34005 447 23 and and CC A34005 447 24 set set VBD A34005 447 25 the the DT A34005 447 26 Star Star NNP A34005 447 27 foot foot NN A34005 447 28 to to IN A34005 447 29 the the DT A34005 447 30 Suns Suns NNP A34005 447 31 hour hour NN A34005 447 32 , , , A34005 447 33 letting let VBG A34005 447 34 the the DT A34005 447 35 other other JJ A34005 447 36 fall fall NN A34005 447 37 the the DT A34005 447 38 same same JJ A34005 447 39 way way NN A34005 447 40 it -PRON- PRP A34005 447 41 stood stand VBD A34005 447 42 before before RB A34005 447 43 , , , A34005 447 44 and and CC A34005 447 45 it -PRON- PRP A34005 447 46 shews shew VBZ A34005 447 47 the the DT A34005 447 48 time time NN A34005 447 49 sought seek VBD A34005 447 50 . . . A34005 448 1 Of of IN A34005 448 2 the the DT A34005 448 3 Quadrat Quadrat NNP A34005 448 4 and and CC A34005 448 5 Shaddows Shaddows NNPS A34005 448 6 . . . A34005 449 1 Both both DT A34005 449 2 these these DT A34005 449 3 as as IN A34005 449 4 was be VBD A34005 449 5 shewed shew VBN A34005 449 6 in in IN A34005 449 7 the the DT A34005 449 8 Description description NN A34005 449 9 of of IN A34005 449 10 the the DT A34005 449 11 Quadrant Quadrant NNP A34005 449 12 , , , A34005 449 13 are be VBP A34005 449 14 no no DT A34005 449 15 other other JJ A34005 449 16 then then RB A34005 449 17 a a DT A34005 449 18 Table table NN A34005 449 19 of of IN A34005 449 20 natural natural JJ A34005 449 21 Tangents tangent NNS A34005 449 22 to to IN A34005 449 23 the the DT A34005 449 24 Arks Arks NNP A34005 449 25 of of IN A34005 449 26 the the DT A34005 449 27 Limb Limb NNP A34005 449 28 and and CC A34005 449 29 may may MD A34005 449 30 supply supply VB A34005 449 31 the the DT A34005 449 32 use use NN A34005 449 33 of of IN A34005 449 34 such such PDT A34005 449 35 a a DT A34005 449 36 Cannon Cannon NNP A34005 449 37 , , , A34005 449 38 though though IN A34005 449 39 not not RB A34005 449 40 with with IN A34005 449 41 so so RB A34005 449 42 much much JJ A34005 449 43 exactness exactness NN A34005 449 44 , , , A34005 449 45 all all PDT A34005 449 46 the the DT A34005 449 47 part part NN A34005 449 48 of of IN A34005 449 49 the the DT A34005 449 50 Quadrate Quadrate NNP A34005 449 51 are be VBP A34005 449 52 to to TO A34005 449 53 be be VB A34005 449 54 estimated estimate VBN A34005 449 55 less less RBR A34005 449 56 then then RB A34005 449 57 the the DT A34005 449 58 Radius Radius NNP A34005 449 59 , , , A34005 449 60 till till IN A34005 449 61 you -PRON- PRP A34005 449 62 come come VBP A34005 449 63 against against IN A34005 449 64 45 45 CD A34005 449 65 ● ● CD A34005 449 66 of of IN A34005 449 67 the the DT A34005 449 68 Limb Limb NNP A34005 449 69 , , , A34005 449 70 where where WRB A34005 449 71 is be VBZ A34005 449 72 set set VBN A34005 449 73 the the DT A34005 449 74 figure figure NN A34005 449 75 of of IN A34005 449 76 1 1 CD A34005 449 77 , , , A34005 449 78 and and CC A34005 449 79 afterwards afterwards RB A34005 449 80 amongst amongst IN A34005 449 81 the the DT A34005 449 82 shadows shadow NNS A34005 449 83 is be VBZ A34005 449 84 to to TO A34005 449 85 be be VB A34005 449 86 accounted account VBN A34005 449 87 more more RBR A34005 449 88 then then RB A34005 449 89 the the DT A34005 449 90 Radius Radius NNP A34005 449 91 , , , A34005 449 92 and and CC A34005 449 93 so so RB A34005 449 94 where where WRB A34005 449 95 the the DT A34005 449 96 Tangent Tangent NNP A34005 449 97 is be VBZ A34005 449 98 in in IN A34005 449 99 length length NN A34005 449 100 2 2 CD A34005 449 101 Radii Radii NNP A34005 449 102 as as IN A34005 449 103 against against IN A34005 449 104 63d 63d NNS A34005 449 105 26 26 CD A34005 449 106 m m CD A34005 449 107 of of IN A34005 449 108 the the DT A34005 449 109 Limb Limb NNP A34005 449 110 . . . A34005 450 1 3 3 CD A34005 450 2 Radii Radii NNP A34005 450 3 as as IN A34005 450 4 against against IN A34005 450 5 71 71 CD A34005 450 6 34 34 CD A34005 450 7 of of IN A34005 450 8 the the DT A34005 450 9 Limb Limb NNP A34005 450 10 . . . A34005 451 1 4 4 CD A34005 451 2 Radii Radii NNP A34005 451 3 as as IN A34005 451 4 against against IN A34005 451 5 75 75 CD A34005 451 6 58 58 CD A34005 451 7 of of IN A34005 451 8 the the DT A34005 451 9 Limb Limb NNP A34005 451 10 . . . A34005 452 1 5 5 CD A34005 452 2 Radii Radii NNP A34005 452 3 as as IN A34005 452 4 against against IN A34005 452 5 78 78 CD A34005 452 6 42 42 CD A34005 452 7 of of IN A34005 452 8 the the DT A34005 452 9 Limb Limb NNP A34005 452 10 . . . A34005 453 1 are be VBP A34005 453 2 set set VBN A34005 453 3 the the DT A34005 453 4 figures figure NNS A34005 453 5 2 2 CD A34005 453 6 , , , A34005 453 7 3 3 CD A34005 453 8 , , , A34005 453 9 4 4 CD A34005 453 10 , , , A34005 453 11 5 5 CD A34005 453 12 , , , A34005 453 13 and and CC A34005 453 14 because because IN A34005 453 15 they -PRON- PRP A34005 453 16 are be VBP A34005 453 17 of of IN A34005 453 18 good good JJ A34005 453 19 use use NN A34005 453 20 to to TO A34005 453 21 be be VB A34005 453 22 repeated repeat VBN A34005 453 23 on on IN A34005 453 24 the the DT A34005 453 25 other other JJ A34005 453 26 side side NN A34005 453 27 of of IN A34005 453 28 the the DT A34005 453 29 Radius Radius NNP A34005 453 30 in in IN A34005 453 31 the the DT A34005 453 32 Quadrat Quadrat NNP A34005 453 33 , , , A34005 453 34 there there RB A34005 453 35 they -PRON- PRP A34005 453 36 are be VBP A34005 453 37 not not RB A34005 453 38 figured figure VBN A34005 453 39 , , , A34005 453 40 but but CC A34005 453 41 have have VBP A34005 453 42 only only RB A34005 453 43 full full JJ A34005 453 44 points point NNS A34005 453 45 set set VBN A34005 453 46 to to IN A34005 453 47 them -PRON- PRP A34005 453 48 , , , A34005 453 49 falling fall VBG A34005 453 50 against against IN A34005 453 51 the the DT A34005 453 52 like like IN A34005 453 53 Arks Arks NNP A34005 453 54 of of IN A34005 453 55 the the DT A34005 453 56 Limb Limb NNP A34005 453 57 from from IN A34005 453 58 the the DT A34005 453 59 right right JJ A34005 453 60 edge edge NN A34005 453 61 towards towards IN A34005 453 62 the the DT A34005 453 63 left left NN A34005 453 64 , , , A34005 453 65 as as IN A34005 453 66 they -PRON- PRP A34005 453 67 did do VBD A34005 453 68 in in IN A34005 453 69 the the DT A34005 453 70 shadows shadow NNS A34005 453 71 from from IN A34005 453 72 the the DT A34005 453 73 left left JJ A34005 453 74 edge edge NN A34005 453 75 towards towards IN A34005 453 76 the the DT A34005 453 77 right right NN A34005 453 78 . . . A34005 454 1 To to TO A34005 454 2 find find VB A34005 454 3 a a DT A34005 454 4 hight hight NN A34005 454 5 at at IN A34005 454 6 one one CD A34005 454 7 Observation observation NN A34005 454 8 . . . A34005 455 1 LEt let VB A34005 455 2 A a DT A34005 455 3 B b NN A34005 455 4 represent represent VB A34005 455 5 a a DT A34005 455 6 Tower Tower NNP A34005 455 7 , , , A34005 455 8 whose whose WP$ A34005 455 9 Altitude altitude NN A34005 455 10 you -PRON- PRP A34005 455 11 would would MD A34005 455 12 take take VB A34005 455 13 , , , A34005 455 14 go go VB A34005 455 15 so so RB A34005 455 16 far far RB A34005 455 17 back back RB A34005 455 18 from from IN A34005 455 19 it -PRON- PRP A34005 455 20 that that IN A34005 455 21 looking look VBG A34005 455 22 through through IN A34005 455 23 the the DT A34005 455 24 sights sight NNS A34005 455 25 of of IN A34005 455 26 the the DT A34005 455 27 Quadrant Quadrant NNP A34005 455 28 , , , A34005 455 29 the the DT A34005 455 30 Thread thread NN A34005 455 31 may may MD A34005 455 32 hang hang VB A34005 455 33 upon upon IN A34005 455 34 45 45 CD A34005 455 35 degrees degree NNS A34005 455 36 of of IN A34005 455 37 the the DT A34005 455 38 Limb Limb NNP A34005 455 39 , , , A34005 455 40 or or CC A34005 455 41 upon upon IN A34005 455 42 1 1 CD A34005 455 43 , , , A34005 455 44 or or CC A34005 455 45 the the DT A34005 455 46 first first JJ A34005 455 47 prick prick NN A34005 455 48 of of IN A34005 455 49 the the DT A34005 455 50 Quadrat Quadrat NNP A34005 455 51 , , , A34005 455 52 and and CC A34005 455 53 the the DT A34005 455 54 distance distance NN A34005 455 55 from from IN A34005 455 56 the the DT A34005 455 57 foot foot NN A34005 455 58 of of IN A34005 455 59 the the DT A34005 455 60 Tower Tower NNP A34005 455 61 will will MD A34005 455 62 be be VB A34005 455 63 equal equal JJ A34005 455 64 to to IN A34005 455 65 the the DT A34005 455 66 height height NN A34005 455 67 of of IN A34005 455 68 the the DT A34005 455 69 Tower Tower NNP A34005 455 70 above above IN A34005 455 71 the the DT A34005 455 72 eye eye NN A34005 455 73 , , , A34005 455 74 which which WDT A34005 455 75 accordingly accordingly RB A34005 455 76 measure measure VBP A34005 455 77 , , , A34005 455 78 and and CC A34005 455 79 thereto thereto NNP A34005 455 80 add add VBP A34005 455 81 the the DT A34005 455 82 height height NN A34005 455 83 of of IN A34005 455 84 the the DT A34005 455 85 eye eye NN A34005 455 86 above above IN A34005 455 87 the the DT A34005 455 88 ground ground NN A34005 455 89 , , , A34005 455 90 and and CC A34005 455 91 you -PRON- PRP A34005 455 92 will will MD A34005 455 93 have have VB A34005 455 94 the the DT A34005 455 95 Altitude altitude NN A34005 455 96 of of IN A34005 455 97 the the DT A34005 455 98 Tower Tower NNP A34005 455 99 . . . A34005 456 1 So so CC A34005 456 2 if if IN A34005 456 3 I -PRON- PRP A34005 456 4 should should MD A34005 456 5 stand stand VB A34005 456 6 at at IN A34005 456 7 D d NN A34005 456 8 and and CC A34005 456 9 find find VB A34005 456 10 the the DT A34005 456 11 Thread Thread NNP A34005 456 12 to to TO A34005 456 13 hang hang VB A34005 456 14 over over IN A34005 456 15 45d 45d NNS A34005 456 16 of of IN A34005 456 17 the the DT A34005 456 18 Limb Limb NNP A34005 456 19 , , , A34005 456 20 I -PRON- PRP A34005 456 21 might may MD A34005 456 22 conclude conclude VB A34005 456 23 the the DT A34005 456 24 distance distance NN A34005 456 25 between between IN A34005 456 26 my -PRON- PRP$ A34005 456 27 Station Station NNP A34005 456 28 and and CC A34005 456 29 the the DT A34005 456 30 Tower Tower NNP A34005 456 31 to to TO A34005 456 32 be be VB A34005 456 33 equal equal JJ A34005 456 34 to to IN A34005 456 35 the the DT A34005 456 36 height height NN A34005 456 37 of of IN A34005 456 38 the the DT A34005 456 39 Tower Tower NNP A34005 456 40 above above IN A34005 456 41 my -PRON- PRP$ A34005 456 42 eye eye NN A34005 456 43 , , , A34005 456 44 and and CC A34005 456 45 thence thence NN A34005 456 46 measuring measure VBG A34005 456 47 it -PRON- PRP A34005 456 48 find find VB A34005 456 49 to to TO A34005 456 50 be be VB A34005 456 51 96 96 CD A34005 456 52 yards yard NNS A34005 456 53 , , , A34005 456 54 so so RB A34005 456 55 much much JJ A34005 456 56 would would MD A34005 456 57 be be VB A34005 456 58 the the DT A34005 456 59 height height NN A34005 456 60 of of IN A34005 456 61 the the DT A34005 456 62 Tower Tower NNP A34005 456 63 above above IN A34005 456 64 the the DT A34005 456 65 eye eye NN A34005 456 66 . . . A34005 457 1 If if IN A34005 457 2 I -PRON- PRP A34005 457 3 remove remove VBP A34005 457 4 farther farther RB A34005 457 5 in in RB A34005 457 6 till till IN A34005 457 7 the the DT A34005 457 8 Thread Thread NNP A34005 457 9 hang hang VB A34005 457 10 upon upon IN A34005 457 11 the the DT A34005 457 12 second second JJ A34005 457 13 point point NN A34005 457 14 of of IN A34005 457 15 the the DT A34005 457 16 Quadrat Quadrat NNP A34005 457 17 , , , A34005 457 18 then then RB A34005 457 19 will will MD A34005 457 20 the the DT A34005 457 21 Altitude altitude NN A34005 457 22 of of IN A34005 457 23 the the DT A34005 457 24 Tower Tower NNP A34005 457 25 above above IN A34005 457 26 the the DT A34005 457 27 level level NN A34005 457 28 of of IN A34005 457 29 the the DT A34005 457 30 eye eye NN A34005 457 31 be be VB A34005 457 32 third third JJ A34005 457 33 point point NN A34005 457 34 of of IN A34005 457 35 the the DT A34005 457 36 Quadrat Quadrat NNP A34005 457 37 , , , A34005 457 38 then then RB A34005 457 39 will will MD A34005 457 40 the the DT A34005 457 41 Altitude altitude NN A34005 457 42 of of IN A34005 457 43 the the DT A34005 457 44 Tower Tower NNP A34005 457 45 above above IN A34005 457 46 the the DT A34005 457 47 level level NN A34005 457 48 of of IN A34005 457 49 the the DT A34005 457 50 eye eye NN A34005 457 51 be be VB A34005 457 52 fourth fourth JJ A34005 457 53 point point NN A34005 457 54 of of IN A34005 457 55 the the DT A34005 457 56 Quadrat Quadrat NNP A34005 457 57 , , , A34005 457 58 then then RB A34005 457 59 will will MD A34005 457 60 the the DT A34005 457 61 Altitude altitude NN A34005 457 62 of of IN A34005 457 63 the the DT A34005 457 64 Tower Tower NNP A34005 457 65 above above IN A34005 457 66 the the DT A34005 457 67 level level NN A34005 457 68 of of IN A34005 457 69 the the DT A34005 457 70 eye eye NN A34005 457 71 be be VB A34005 457 72 fifth fifth JJ A34005 457 73 point point NN A34005 457 74 of of IN A34005 457 75 the the DT A34005 457 76 Quadrat Quadrat NNP A34005 457 77 , , , A34005 457 78 then then RB A34005 457 79 will will MD A34005 457 80 the the DT A34005 457 81 Altitude altitude NN A34005 457 82 of of IN A34005 457 83 the the DT A34005 457 84 Tower Tower NNP A34005 457 85 above above IN A34005 457 86 the the DT A34005 457 87 level level NN A34005 457 88 of of IN A34005 457 89 the the DT A34005 457 90 eye eye NN A34005 457 91 be be VB A34005 457 92 twice twice RB A34005 457 93 thrice thrice NN A34005 457 94 four four CD A34005 457 95 times time NNS A34005 457 96 as as RB A34005 457 97 much much RB A34005 457 98 as as IN A34005 457 99 the the DT A34005 457 100 distance distance NN A34005 457 101 from from IN A34005 457 102 the the DT A34005 457 103 Tower Tower NNP A34005 457 104 is be VBZ A34005 457 105 to to IN A34005 457 106 the the DT A34005 457 107 Station Station NNP A34005 457 108 . . . A34005 458 1 five five CD A34005 458 2 times time NNS A34005 458 3 as as RB A34005 458 4 much much RB A34005 458 5 as as IN A34005 458 6 the the DT A34005 458 7 distance distance NN A34005 458 8 from from IN A34005 458 9 the the DT A34005 458 10 Tower Tower NNP A34005 458 11 is be VBZ A34005 458 12 to to IN A34005 458 13 the the DT A34005 458 14 Station Station NNP A34005 458 15 . . . A34005 459 1 So so RB A34005 459 2 removing remove VBG A34005 459 3 to to IN A34005 459 4 C C NNP A34005 459 5 ; ; : A34005 459 6 I -PRON- PRP A34005 459 7 find find VBP A34005 459 8 the the DT A34005 459 9 Thread thread NN A34005 459 10 to to TO A34005 459 11 hang hang VB A34005 459 12 upon upon IN A34005 459 13 the the DT A34005 459 14 second second JJ A34005 459 15 point point NN A34005 459 16 of of IN A34005 459 17 the the DT A34005 459 18 Quadrat Quadrat NNP A34005 459 19 , , , A34005 459 20 and and CC A34005 459 21 measuring measure VBG A34005 459 22 the the DT A34005 459 23 distance distance NN A34005 459 24 of of IN A34005 459 25 that that DT A34005 459 26 Station Station NNP A34005 459 27 from from IN A34005 459 28 the the DT A34005 459 29 Tower Tower NNP A34005 459 30 , , , A34005 459 31 I -PRON- PRP A34005 459 32 find find VBP A34005 459 33 it -PRON- PRP A34005 459 34 to to TO A34005 459 35 be be VB A34005 459 36 48 48 CD A34005 459 37 yards yard NNS A34005 459 38 , , , A34005 459 39 whence whence NN A34005 459 40 I -PRON- PRP A34005 459 41 may may MD A34005 459 42 conclude conclude VB A34005 459 43 the the DT A34005 459 44 Tower Tower NNP A34005 459 45 is be VBZ A34005 459 46 twice twice RB A34005 459 47 as as RB A34005 459 48 high high JJ A34005 459 49 above above IN A34005 459 50 my -PRON- PRP$ A34005 459 51 eye eye NN A34005 459 52 , , , A34005 459 53 and and CC A34005 459 54 that that DT A34005 459 55 would would MD A34005 459 56 be be VB A34005 459 57 96 96 CD A34005 459 58 yards yard NNS A34005 459 59 . . . A34005 460 1 So so CC A34005 460 2 if if IN A34005 460 3 I -PRON- PRP A34005 460 4 should should MD A34005 460 5 remove remove VB A34005 460 6 so so RB A34005 460 7 much much RB A34005 460 8 back back RB A34005 460 9 that that IN A34005 460 10 the the DT A34005 460 11 Thread thread NN A34005 460 12 should should MD A34005 460 13 hang hang VB A34005 460 14 upon upon IN A34005 460 15 2 2 CD A34005 460 16 of of IN A34005 460 17 the the DT A34005 460 18 shaddows shaddows NNPS A34005 460 19 & & CC A34005 460 20 c. c. NNP A34005 460 21 as as IN A34005 460 22 E E NNP A34005 460 23 the the DT A34005 460 24 distance distance NN A34005 460 25 between between IN A34005 460 26 3 3 CD A34005 460 27 of of IN A34005 460 28 the the DT A34005 460 29 shaddows shaddows NNP A34005 460 30 & & CC A34005 460 31 c. c. NNP A34005 460 32 at at IN A34005 460 33 F F NNP A34005 460 34 the the DT A34005 460 35 distance distance NN A34005 460 36 between between IN A34005 460 37 4 4 CD A34005 460 38 of of IN A34005 460 39 the the DT A34005 460 40 shaddows shaddows NNP A34005 460 41 & & CC A34005 460 42 c. c. NNP A34005 460 43 5 5 CD A34005 460 44 of of IN A34005 460 45 the the DT A34005 460 46 shaddows shaddows NNPS A34005 460 47 & & CC A34005 460 48 c. c. NNP A34005 460 49 the the DT A34005 460 50 Station Station NNP A34005 460 51 and and CC A34005 460 52 the the DT A34005 460 53 foot foot NN A34005 460 54 of of IN A34005 460 55 the the DT A34005 460 56 Tower Tower NNP A34005 460 57 would would MD A34005 460 58 be be VB A34005 460 59 twice twice RB A34005 460 60 thrice thrice NN A34005 460 61 four four CD A34005 460 62 times time NNS A34005 460 63 five five CD A34005 460 64 times time NNS A34005 460 65 as as RB A34005 460 66 much much RB A34005 460 67 as as IN A34005 460 68 the the DT A34005 460 69 height height NN A34005 460 70 of of IN A34005 460 71 the the DT A34005 460 72 Tower Tower NNP A34005 460 73 above above IN A34005 460 74 the the DT A34005 460 75 eye eye NN A34005 460 76 , , , A34005 460 77 and and CC A34005 460 78 consequently consequently RB A34005 460 79 if if IN A34005 460 80 I -PRON- PRP A34005 460 81 should should MD A34005 460 82 measure measure VB A34005 460 83 the the DT A34005 460 84 distance distance NN A34005 460 85 between between IN A34005 460 86 D d NN A34005 460 87 and and CC A34005 460 88 E e NN A34005 460 89 where where WRB A34005 460 90 it -PRON- PRP A34005 460 91 hung hang VBD A34005 460 92 upon upon IN A34005 460 93 1 1 CD A34005 460 94 and and CC A34005 460 95 2 2 CD A34005 460 96 of of IN A34005 460 97 the the DT A34005 460 98 Shaddows Shaddows NNPS A34005 460 99 , , , A34005 460 100 or or CC A34005 460 101 between between IN A34005 460 102 E e NN A34005 460 103 and and CC A34005 460 104 F F NNP A34005 460 105 , , , A34005 460 106 where where WRB A34005 460 107 it -PRON- PRP A34005 460 108 hung hang VBD A34005 460 109 upon upon IN A34005 460 110 2 2 CD A34005 460 111 and and CC A34005 460 112 3 3 CD A34005 460 113 of of IN A34005 460 114 the the DT A34005 460 115 shaddows shaddow NNS A34005 460 116 , , , A34005 460 117 & & CC A34005 460 118 c c NNP A34005 460 119 I -PRON- PRP A34005 460 120 should should MD A34005 460 121 find find VB A34005 460 122 it -PRON- PRP A34005 460 123 to to TO A34005 460 124 be be VB A34005 460 125 equal equal JJ A34005 460 126 to to IN A34005 460 127 the the DT A34005 460 128 Altitude altitude NN A34005 460 129 ; ; : A34005 460 130 but but CC A34005 460 131 other other JJ A34005 460 132 ways way NNS A34005 460 133 of of IN A34005 460 134 doing do VBG A34005 460 135 it -PRON- PRP A34005 460 136 when when WRB A34005 460 137 inaccessible inaccessible JJ A34005 460 138 will will MD A34005 460 139 afterwards afterwards RB A34005 460 140 follow follow VB A34005 460 141 . . . A34005 461 1 A a DT A34005 461 2 Second second JJ A34005 461 3 way way NN A34005 461 4 at at IN A34005 461 5 one one CD A34005 461 6 Station Station NNP A34005 461 7 . . . A34005 462 1 WIth with IN A34005 462 2 any any DT A34005 462 3 dimension dimension NN A34005 462 4 whatsoever whatsoever RB A34005 462 5 of of IN A34005 462 6 a a DT A34005 462 7 competent competent JJ A34005 462 8 length length NN A34005 462 9 , , , A34005 462 10 measure measure VB A34005 462 11 off off RP A34005 462 12 from from IN A34005 462 13 the the DT A34005 462 14 foot foot NN A34005 462 15 of of IN A34005 462 16 the the DT A34005 462 17 Object object NN A34005 462 18 , , , A34005 462 19 whether whether IN A34005 462 20 Tower Tower NNP A34005 462 21 or or CC A34005 462 22 Tree Tree NNP A34005 462 23 , , , A34005 462 24 just just RB A34005 462 25 10 10 CD A34005 462 26 or or CC A34005 462 27 100 100 CD A34005 462 28 , , , A34005 462 29 & & CC A34005 462 30 c. c. NNP A34005 462 31 of of IN A34005 462 32 the the DT A34005 462 33 said say VBN A34005 462 34 Dimensions dimension NNS A34005 462 35 , , , A34005 462 36 as as IN A34005 462 37 suppose suppose VB A34005 462 38 from from IN A34005 462 39 B B NNP A34005 462 40 to to IN A34005 462 41 K K NNP A34005 462 42 , , , A34005 462 43 I -PRON- PRP A34005 462 44 measure measure VBP A34005 462 45 of of IN A34005 462 46 an an DT A34005 462 47 hundred hundred CD A34005 462 48 yards yard NNS A34005 462 49 ; ; : A34005 462 50 there there EX A34005 462 51 look look VBP A34005 462 52 through through IN A34005 462 53 the the DT A34005 462 54 sights sight NNS A34005 462 55 of of IN A34005 462 56 the the DT A34005 462 57 Quadrant Quadrant NNP A34005 462 58 to to IN A34005 462 59 the the DT A34005 462 60 Top top NN A34005 462 61 of of IN A34005 462 62 the the DT A34005 462 63 Object object NN A34005 462 64 at at IN A34005 462 65 A a NN A34005 462 66 , , , A34005 462 67 and and CC A34005 462 68 what what WP A34005 462 69 parts part VBZ A34005 462 70 the the DT A34005 462 71 Thread thread NN A34005 462 72 hangs hang VBZ A34005 462 73 upon upon IN A34005 462 74 in in IN A34005 462 75 the the DT A34005 462 76 Quadrat Quadrat NNP A34005 462 77 or or CC A34005 462 78 Shadows Shadows NNP A34005 462 79 , , , A34005 462 80 shews shew VBZ A34005 462 81 the the DT A34005 462 82 Altitude altitude NN A34005 462 83 of of IN A34005 462 84 the the DT A34005 462 85 Object object NN A34005 462 86 in in IN A34005 462 87 the the DT A34005 462 88 said say VBN A34005 462 89 measured measured JJ A34005 462 90 parts part NNS A34005 462 91 , , , A34005 462 92 and and CC A34005 462 93 so so RB A34005 462 94 at at IN A34005 462 95 the the DT A34005 462 96 said say VBN A34005 462 97 Station Station NNP A34005 462 98 at at IN A34005 462 99 K K NNP A34005 462 100 the the DT A34005 462 101 Thread Thread NNP A34005 462 102 will will MD A34005 462 103 hang hang VB A34005 462 104 upon upon IN A34005 462 105 96 96 CD A34005 462 106 parts part NNS A34005 462 107 , , , A34005 462 108 shewing shew VBG A34005 462 109 the the DT A34005 462 110 Altitude altitude NN A34005 462 111 A a NN A34005 462 112 B B NNP A34005 462 113 to to TO A34005 462 114 be be VB A34005 462 115 96 96 CD A34005 462 116 yards yard NNS A34005 462 117 above above IN A34005 462 118 the the DT A34005 462 119 Level level NN A34005 462 120 of of IN A34005 462 121 the the DT A34005 462 122 eye eye NN A34005 462 123 , , , A34005 462 124 and and CC A34005 462 125 so so RB A34005 462 126 if if IN A34005 462 127 any any DT A34005 462 128 other other JJ A34005 462 129 parts part NNS A34005 462 130 were be VBD A34005 462 131 measured measure VBN A34005 462 132 off off RP A34005 462 133 , , , A34005 462 134 they -PRON- PRP A34005 462 135 are be VBP A34005 462 136 to to TO A34005 462 137 be be VB A34005 462 138 multiplyed multiply VBN A34005 462 139 by by IN A34005 462 140 the the DT A34005 462 141 Tangent Tangent NNP A34005 462 142 of of IN A34005 462 143 the the DT A34005 462 144 Altitude altitude NN A34005 462 145 , , , A34005 462 146 or or CC A34005 462 147 parts part NNS A34005 462 148 cut cut VBN A34005 462 149 by by IN A34005 462 150 the the DT A34005 462 151 Thread Thread NNP A34005 462 152 , , , A34005 462 153 rejecting reject VBG A34005 462 154 the the DT A34005 462 155 Ciphers Ciphers NNPS A34005 462 156 of of IN A34005 462 157 the the DT A34005 462 158 Radius Radius NNP A34005 462 159 , , , A34005 462 160 as as IN A34005 462 161 in in IN A34005 462 162 the the DT A34005 462 163 next next JJ A34005 462 164 Proposition Proposition NNP A34005 462 165 . . . A34005 463 1 A a DT A34005 463 2 third third JJ A34005 463 3 way way NN A34005 463 4 by by IN A34005 463 5 a a DT A34005 463 6 Station Station NNP A34005 463 7 at at IN A34005 463 8 Random Random NNP A34005 463 9 . . . A34005 464 1 TAke take VB A34005 464 2 any any DT A34005 464 3 Station station NN A34005 464 4 at at IN A34005 464 5 Random Random NNP A34005 464 6 as as IN A34005 464 7 at at IN A34005 464 8 L l NN A34005 464 9 , , , A34005 464 10 and and CC A34005 464 11 looking look VBG A34005 464 12 through through IN A34005 464 13 the the DT A34005 464 14 sights sight NNS A34005 464 15 observe observe VBP A34005 464 16 upon upon IN A34005 464 17 what what WP A34005 464 18 parts part NNS A34005 464 19 of of IN A34005 464 20 the the DT A34005 464 21 Quadrat Quadrat NNP A34005 464 22 or or CC A34005 464 23 Shadows shadow VBZ A34005 464 24 the the DT A34005 464 25 Thread thread NN A34005 464 26 falls fall VBZ A34005 464 27 upon upon IN A34005 464 28 , , , A34005 464 29 and and CC A34005 464 30 then then RB A34005 464 31 measure measure VB A34005 464 32 the the DT A34005 464 33 distance distance NN A34005 464 34 between between IN A34005 464 35 the the DT A34005 464 36 Station Station NNP A34005 464 37 and and CC A34005 464 38 the the DT A34005 464 39 foot foot NN A34005 464 40 of of IN A34005 464 41 the the DT A34005 464 42 object object NN A34005 464 43 , , , A34005 464 44 and and CC A34005 464 45 the the DT A34005 464 46 Proportion Proportion NNP A34005 464 47 will will MD A34005 464 48 hold hold VB A34005 464 49 . . . A34005 465 1 As as IN A34005 465 2 the the DT A34005 465 3 Radius Radius NNP A34005 465 4 To to IN A34005 465 5 the the DT A34005 465 6 Tangent tangent NN A34005 465 7 of of IN A34005 465 8 the the DT A34005 465 9 Altitude altitude NN A34005 465 10 , , , A34005 465 11 or or CC A34005 465 12 to to IN A34005 465 13 the the DT A34005 465 14 parts part NNS A34005 465 15 cut cut VBN A34005 465 16 in in IN A34005 465 17 the the DT A34005 465 18 Quadrat Quadrat NNP A34005 465 19 or or CC A34005 465 20 shadows shadow NNS A34005 465 21 , , , A34005 465 22 So so RB A34005 465 23 is be VBZ A34005 465 24 the the DT A34005 465 25 distance distance NN A34005 465 26 between between IN A34005 465 27 the the DT A34005 465 28 Station Station NNP A34005 465 29 and and CC A34005 465 30 the the DT A34005 465 31 Object object NN A34005 465 32 To to IN A34005 465 33 the the DT A34005 465 34 height height NN A34005 465 35 of of IN A34005 465 36 the the DT A34005 465 37 Object Object NNP A34005 465 38 above above IN A34005 465 39 the the DT A34005 465 40 eye eye NN A34005 465 41 . . . A34005 466 1 So so RB A34005 466 2 standing stand VBG A34005 466 3 at at IN A34005 466 4 L l NN A34005 466 5 , , , A34005 466 6 the the DT A34005 466 7 Thread Thread NNP A34005 466 8 hung hang VBD A34005 466 9 upon upon IN A34005 466 10 30d 30d CD A34005 466 11 58 58 CD A34005 466 12 m m CD A34005 466 13 of of IN A34005 466 14 the the DT A34005 466 15 Limb Limb NNP A34005 466 16 , , , A34005 466 17 as as RB A34005 466 18 also also RB A34005 466 19 upon upon IN A34005 466 20 600 600 CD A34005 466 21 of of IN A34005 466 22 the the DT A34005 466 23 Quadrat Quadrat NNP A34005 466 24 , , , A34005 466 25 the the DT A34005 466 26 Tangent Tangent NNP A34005 466 27 of of IN A34005 466 28 the the DT A34005 466 29 said say VBD A34005 466 30 Ark Ark NNP A34005 466 31 and and CC A34005 466 32 the the DT A34005 466 33 measured measured JJ A34005 466 34 distance distance NN A34005 466 35 L L NNP A34005 466 36 B B NNP A34005 466 37 was be VBD A34005 466 38 160 160 CD A34005 466 39 yards yard NNS A34005 466 40 , , , A34005 466 41 now now RB A34005 466 42 then then RB A34005 466 43 to to TO A34005 466 44 work work VB A34005 466 45 the the DT A34005 466 46 former former JJ A34005 466 47 Proportion Proportion NNP A34005 466 48 , , , A34005 466 49 multiply multiply VB A34005 466 50 the the DT A34005 466 51 distance distance NN A34005 466 52 by by IN A34005 466 53 the the DT A34005 466 54 parts part NNS A34005 466 55 of of IN A34005 466 56 the the DT A34005 466 57 Quadrat Quadrat NNP A34005 466 58 , , , A34005 466 59 and and CC A34005 466 60 from from IN A34005 466 61 the the DT A34005 466 62 right right JJ A34005 466 63 hand hand NN A34005 466 64 of of IN A34005 466 65 the the DT A34005 466 66 product product NN A34005 466 67 cut cut VBD A34005 466 68 off off RP A34005 466 69 three three CD A34005 466 70 places place NNS A34005 466 71 , , , A34005 466 72 and and CC A34005 466 73 you -PRON- PRP A34005 466 74 have have VBP A34005 466 75 the the DT A34005 466 76 Altitude altitude NN A34005 466 77 sought seek VBN A34005 466 78 . . . A34005 467 1 In in IN A34005 467 2 this this DT A34005 467 3 Work work NN A34005 467 4 the the DT A34005 467 5 Radius Radius NNP A34005 467 6 or or CC A34005 467 7 Tangent Tangent NNP A34005 467 8 of of IN A34005 467 9 45d 45d CD A34005 467 10 is be VBZ A34005 467 11 assumed assume VBN A34005 467 12 to to TO A34005 467 13 be be VB A34005 467 14 1000 1000 CD A34005 467 15 . . . A34005 468 1 To to TO A34005 468 2 measure measure VB A34005 468 3 part part NN A34005 468 4 of of IN A34005 468 5 an an DT A34005 468 6 Altitude Altitude NNP A34005 468 7 , , , A34005 468 8 as as IN A34005 468 9 suppose suppose VB A34005 468 10 from from IN A34005 468 11 a a DT A34005 468 12 window window NN A34005 468 13 in in IN A34005 468 14 a a DT A34005 468 15 Tower Tower NNP A34005 468 16 to to IN A34005 468 17 the the DT A34005 468 18 top top NN A34005 468 19 of of IN A34005 468 20 the the DT A34005 468 21 Tower Tower NNP A34005 468 22 , , , A34005 468 23 may may MD A34005 468 24 be be VB A34005 468 25 inferred infer VBN A34005 468 26 from from IN A34005 468 27 what what WP A34005 468 28 hath hath NNP A34005 468 29 been be VBN A34005 468 30 already already RB A34005 468 31 said say VBN A34005 468 32 ; ; : A34005 468 33 first first RB A34005 468 34 get get VB A34005 468 35 the the DT A34005 468 36 top top NN A34005 468 37 of of IN A34005 468 38 the the DT A34005 468 39 Tower Tower NNP A34005 468 40 by by IN A34005 468 41 some some DT A34005 468 42 of of IN A34005 468 43 the the DT A34005 468 44 former former JJ A34005 468 45 ways way NNS A34005 468 46 , , , A34005 468 47 and and CC A34005 468 48 then then RB A34005 468 49 the the DT A34005 468 50 height height NN A34005 468 51 of of IN A34005 468 52 the the DT A34005 468 53 window window NN A34005 468 54 which which WDT A34005 468 55 substract substract VBP A34005 468 56 from from IN A34005 468 57 the the DT A34005 468 58 former former JJ A34005 468 59 Altitude altitude NN A34005 468 60 and and CC A34005 468 61 the the DT A34005 468 62 remainder remainder NN A34005 468 63 is be VBZ A34005 468 64 the the DT A34005 468 65 desired desire VBN A34005 468 66 distance distance NN A34005 468 67 between between IN A34005 468 68 the the DT A34005 468 69 window window NN A34005 468 70 and and CC A34005 468 71 the the DT A34005 468 72 top top NN A34005 468 73 of of IN A34005 468 74 the the DT A34005 468 75 Tower Tower NNP A34005 468 76 . . . A34005 469 1 The the DT A34005 469 2 former former JJ A34005 469 3 Proportion proportion NN A34005 469 4 may may MD A34005 469 5 also also RB A34005 469 6 be be VB A34005 469 7 inverted invert VBN A34005 469 8 for for IN A34005 469 9 finding finding NN A34005 469 10 of of IN A34005 469 11 a a DT A34005 469 12 distance distance NN A34005 469 13 by by IN A34005 469 14 the the DT A34005 469 15 height height NN A34005 469 16 , , , A34005 469 17 or or CC A34005 469 18 apprehending apprehend VBG A34005 469 19 the the DT A34005 469 20 Tower Tower NNP A34005 469 21 to to TO A34005 469 22 lye lye VB A34005 469 23 flat flat JJ A34005 469 24 on on IN A34005 469 25 the the DT A34005 469 26 ground ground NN A34005 469 27 , , , A34005 469 28 and and CC A34005 469 29 so so RB A34005 469 30 the the DT A34005 469 31 height height NN A34005 469 32 to to TO A34005 469 33 be be VB A34005 469 34 changed change VBN A34005 469 35 into into IN A34005 469 36 a a DT A34005 469 37 distance distance NN A34005 469 38 and and CC A34005 469 39 the the DT A34005 469 40 distance distance NN A34005 469 41 into into IN A34005 469 42 a a DT A34005 469 43 height height NN A34005 469 44 , , , A34005 469 45 the the DT A34005 469 46 same same JJ A34005 469 47 Rules Rules NNPS A34005 469 48 will will MD A34005 469 49 serve serve VB A34005 469 50 only only RB A34005 469 51 the the DT A34005 469 52 height height NN A34005 469 53 of of IN A34005 469 54 a a DT A34005 469 55 Tower Tower NNP A34005 469 56 being be VBG A34005 469 57 measured measure VBN A34005 469 58 , , , A34005 469 59 and and CC A34005 469 60 from from IN A34005 469 61 the the DT A34005 469 62 top top NN A34005 469 63 looking look VBG A34005 469 64 to to IN A34005 469 65 the the DT A34005 469 66 Object object NN A34005 469 67 through through IN A34005 469 68 the the DT A34005 469 69 sights sight NNS A34005 469 70 of of IN A34005 469 71 the the DT A34005 469 72 Quadrant Quadrant NNP A34005 469 73 , , , A34005 469 74 what what WDT A34005 469 75 Angle Angle NNP A34005 469 76 the the DT A34005 469 77 Thread thread NN A34005 469 78 hangs hang VBZ A34005 469 79 upon upon IN A34005 469 80 is be VBZ A34005 469 81 to to TO A34005 469 82 be be VB A34005 469 83 accounted account VBN A34005 469 84 from from IN A34005 469 85 the the DT A34005 469 86 right right JJ A34005 469 87 edge edge NN A34005 469 88 of of IN A34005 469 89 the the DT A34005 469 90 Quadrant Quadrant NNP A34005 469 91 towards towards IN A34005 469 92 the the DT A34005 469 93 left left NN A34005 469 94 ; ; : A34005 469 95 but but CC A34005 469 96 in in IN A34005 469 97 taking take VBG A34005 469 98 out out RP A34005 469 99 the the DT A34005 469 100 Tangent Tangent NNP A34005 469 101 of of IN A34005 469 102 this this DT A34005 469 103 Ark Ark NNP A34005 469 104 , , , A34005 469 105 after after IN A34005 469 106 I -PRON- PRP A34005 469 107 have have VBP A34005 469 108 observed observe VBN A34005 469 109 it -PRON- PRP A34005 469 110 , , , A34005 469 111 the the DT A34005 469 112 Thread Thread NNP A34005 469 113 must must MD A34005 469 114 be be VB A34005 469 115 laid lay VBN A34005 469 116 over over IN A34005 469 117 the the DT A34005 469 118 like like JJ A34005 469 119 Ark Ark NNP A34005 469 120 of of IN A34005 469 121 the the DT A34005 469 122 Quadrant Quadrant NNP A34005 469 123 from from IN A34005 469 124 the the DT A34005 469 125 left left JJ A34005 469 126 edge edge NN A34005 469 127 towards towards IN A34005 469 128 the the DT A34005 469 129 right right NN A34005 469 130 , , , A34005 469 131 and and CC A34005 469 132 from from IN A34005 469 133 the the DT A34005 469 134 Quadrat Quadrat NNP A34005 469 135 or or CC A34005 469 136 Shaddows shaddow VBZ A34005 469 137 the the DT A34005 469 138 Tangent Tangent NNP A34005 469 139 taken take VBN A34005 469 140 out out RP A34005 469 141 by by IN A34005 469 142 the the DT A34005 469 143 Intersection intersection NN A34005 469 144 of of IN A34005 469 145 the the DT A34005 469 146 Thread thread NN A34005 469 147 , , , A34005 469 148 and and CC A34005 469 149 so so RB A34005 469 150 to to TO A34005 469 151 measure measure VB A34005 469 152 part part NN A34005 469 153 of of IN A34005 469 154 a a DT A34005 469 155 distance distance NN A34005 469 156 must must MD A34005 469 157 be be VB A34005 469 158 done do VBN A34005 469 159 by by IN A34005 469 160 getting get VBG A34005 469 161 the the DT A34005 469 162 distances distance NNS A34005 469 163 of of IN A34005 469 164 both both DT A34005 469 165 places place NNS A34005 469 166 first first RB A34005 469 167 , , , A34005 469 168 and and CC A34005 469 169 then then RB A34005 469 170 substract substract VB A34005 469 171 the the DT A34005 469 172 lesser less JJR A34005 469 173 from from IN A34005 469 174 the the DT A34005 469 175 greater great JJR A34005 469 176 . . . A34005 470 1 To to TO A34005 470 2 find find VB A34005 470 3 the the DT A34005 470 4 Altitude altitude NN A34005 470 5 of of IN A34005 470 6 any any DT A34005 470 7 Perpendicular Perpendicular NNP A34005 470 8 , , , A34005 470 9 by by IN A34005 470 10 the the DT A34005 470 11 length length NN A34005 470 12 of of IN A34005 470 13 its -PRON- PRP$ A34005 470 14 shadow shadow NN A34005 470 15 . . . A34005 471 1 THis this DT A34005 471 2 will will MD A34005 471 3 be be VB A34005 471 4 like like IN A34005 471 5 the the DT A34005 471 6 first first JJ A34005 471 7 Proposition Proposition NNP A34005 471 8 , , , A34005 471 9 with with IN A34005 471 10 the the DT A34005 471 11 Quadrant Quadrant NNP A34005 471 12 take take VB A34005 471 13 the the DT A34005 471 14 Altitude altitude NN A34005 471 15 of of IN A34005 471 16 the the DT A34005 471 17 Sun Sun NNP A34005 471 18 , , , A34005 471 19 if if IN A34005 471 20 in in IN A34005 471 21 so so RB A34005 471 22 doing do VBG A34005 471 23 the the DT A34005 471 24 Thread Thread NNP A34005 471 25 hang hang VB A34005 471 26 over over IN A34005 471 27 the the DT A34005 471 28 1st 1st JJ A34005 471 29 pricks prick NNS A34005 471 30 in in IN A34005 471 31 the the DT A34005 471 32 Quadrat Quadrat NNP A34005 471 33 , , , A34005 471 34 the the DT A34005 471 35 length length NN A34005 471 36 of of IN A34005 471 37 the the DT A34005 471 38 Shaddow Shaddow NNP A34005 471 39 is be VBZ A34005 471 40 equal equal JJ A34005 471 41 to to IN A34005 471 42 the the DT A34005 471 43 height height NN A34005 471 44 of of IN A34005 471 45 the the DT A34005 471 46 Object Object NNP A34005 471 47 Tree Tree NNP A34005 471 48 , , , A34005 471 49 or or CC A34005 471 50 Perpendicular Perpendicular NNP A34005 471 51 2d 2d CD A34005 471 52 pricks prick NNS A34005 471 53 in in IN A34005 471 54 the the DT A34005 471 55 Quadrat Quadrat NNP A34005 471 56 , , , A34005 471 57 the the DT A34005 471 58 length length NN A34005 471 59 of of IN A34005 471 60 the the DT A34005 471 61 Shaddow Shaddow NNP A34005 471 62 is be VBZ A34005 471 63 double double PDT A34005 471 64 the the DT A34005 471 65 height height NN A34005 471 66 of of IN A34005 471 67 the the DT A34005 471 68 Object Object NNP A34005 471 69 Tree Tree NNP A34005 471 70 , , , A34005 471 71 or or CC A34005 471 72 Perpendicular Perpendicular NNP A34005 471 73 3d 3d NNP A34005 471 74 pricks prick NNS A34005 471 75 in in IN A34005 471 76 the the DT A34005 471 77 Quadrat Quadrat NNP A34005 471 78 , , , A34005 471 79 the the DT A34005 471 80 length length NN A34005 471 81 of of IN A34005 471 82 the the DT A34005 471 83 Shaddow Shaddow NNP A34005 471 84 is be VBZ A34005 471 85 triple triple PDT A34005 471 86 the the DT A34005 471 87 height height NN A34005 471 88 of of IN A34005 471 89 the the DT A34005 471 90 Object Object NNP A34005 471 91 Tree Tree NNP A34005 471 92 , , , A34005 471 93 or or CC A34005 471 94 Perpendicular perpendicular JJ A34005 471 95 4th 4th JJ A34005 471 96 pricks prick NNS A34005 471 97 in in IN A34005 471 98 the the DT A34005 471 99 Quadrat Quadrat NNP A34005 471 100 , , , A34005 471 101 the the DT A34005 471 102 length length NN A34005 471 103 of of IN A34005 471 104 the the DT A34005 471 105 Shaddow Shaddow NNP A34005 471 106 is be VBZ A34005 471 107 four four CD A34005 471 108 times time NNS A34005 471 109 the the DT A34005 471 110 height height NN A34005 471 111 of of IN A34005 471 112 the the DT A34005 471 113 Object Object NNP A34005 471 114 Tree Tree NNP A34005 471 115 , , , A34005 471 116 or or CC A34005 471 117 Perpendicular perpendicular JJ A34005 471 118 5th 5th JJ A34005 471 119 pricks prick NNS A34005 471 120 in in IN A34005 471 121 the the DT A34005 471 122 Quadrat Quadrat NNP A34005 471 123 , , , A34005 471 124 the the DT A34005 471 125 length length NN A34005 471 126 of of IN A34005 471 127 the the DT A34005 471 128 Shaddow Shaddow NNP A34005 471 129 is be VBZ A34005 471 130 five five CD A34005 471 131 times time NNS A34005 471 132 the the DT A34005 471 133 height height NN A34005 471 134 of of IN A34005 471 135 the the DT A34005 471 136 Object Object NNP A34005 471 137 Tree Tree NNP A34005 471 138 , , , A34005 471 139 or or CC A34005 471 140 Perpendicular perpendicular JJ A34005 471 141 whatever whatever WDT A34005 471 142 it -PRON- PRP A34005 471 143 be be VBP A34005 471 144 ; ; : A34005 471 145 But but CC A34005 471 146 if if IN A34005 471 147 it -PRON- PRP A34005 471 148 hang hang VBP A34005 471 149 1 1 CD A34005 471 150 in in IN A34005 471 151 the the DT A34005 471 152 shaddows shaddow NNS A34005 471 153 2 2 CD A34005 471 154 in in IN A34005 471 155 the the DT A34005 471 156 shaddows shaddow NNS A34005 471 157 3 3 CD A34005 471 158 in in IN A34005 471 159 the the DT A34005 471 160 shaddows shaddow NNS A34005 471 161 4 4 CD A34005 471 162 in in IN A34005 471 163 the the DT A34005 471 164 shaddows shaddow NNS A34005 471 165 5 5 CD A34005 471 166 in in IN A34005 471 167 the the DT A34005 471 168 shaddows shaddow NNS A34005 471 169 the the DT A34005 471 170 highth highth NN A34005 471 171 of of IN A34005 471 172 the the DT A34005 471 173 object object NN A34005 471 174 is be VBZ A34005 471 175 equal equal JJ A34005 471 176 to to IN A34005 471 177 the the DT A34005 471 178 length length NN A34005 471 179 of of IN A34005 471 180 the the DT A34005 471 181 double double JJ A34005 471 182 the the DT A34005 471 183 length length NN A34005 471 184 of of IN A34005 471 185 the the DT A34005 471 186 triple triple JJ A34005 471 187 the the DT A34005 471 188 length length NN A34005 471 189 of of IN A34005 471 190 the the DT A34005 471 191 four four CD A34005 471 192 times time NNS A34005 471 193 the the DT A34005 471 194 length length NN A34005 471 195 of of IN A34005 471 196 the the DT A34005 471 197 five five CD A34005 471 198 times time NNS A34005 471 199 the the DT A34005 471 200 length length NN A34005 471 201 of of IN A34005 471 202 the the DT A34005 471 203 Shaddow Shaddow NNP A34005 471 204 which which WDT A34005 471 205 may may MD A34005 471 206 happen happen VB A34005 471 207 where where WRB A34005 471 208 the the DT A34005 471 209 Sun Sun NNP A34005 471 210 hath hath NN A34005 471 211 much much JJ A34005 471 212 Altitude altitude NN A34005 471 213 , , , A34005 471 214 as as IN A34005 471 215 in in IN A34005 471 216 small small JJ A34005 471 217 Latitudes Latitudes NNPS A34005 471 218 , , , A34005 471 219 and and CC A34005 471 220 so so RB A34005 471 221 the the DT A34005 471 222 length length NN A34005 471 223 of of IN A34005 471 224 the the DT A34005 471 225 Shadow Shadow NNP A34005 471 226 being be VBG A34005 471 227 forthwith forthwith NN A34005 471 228 measured measure VBN A34005 471 229 , , , A34005 471 230 the the DT A34005 471 231 height height NN A34005 471 232 of of IN A34005 471 233 the the DT A34005 471 234 Gnomon Gnomon NNP A34005 471 235 may may MD A34005 471 236 be be VB A34005 471 237 easily easily RB A34005 471 238 attained attain VBN A34005 471 239 . . . A34005 472 1 If if IN A34005 472 2 the the DT A34005 472 3 Thread thread NN A34005 472 4 in in IN A34005 472 5 observing observe VBG A34005 472 6 the the DT A34005 472 7 Altitude altitude NN A34005 472 8 hang hang VB A34005 472 9 on on IN A34005 472 10 any any DT A34005 472 11 odd odd JJ A34005 472 12 parts part NNS A34005 472 13 of of IN A34005 472 14 the the DT A34005 472 15 Quadrant Quadrant NNP A34005 472 16 or or CC A34005 472 17 Shadows Shadows NNP A34005 472 18 , , , A34005 472 19 the the DT A34005 472 20 Proportion proportion NN A34005 472 21 will will MD A34005 472 22 hold hold VB A34005 472 23 as as IN A34005 472 24 before before RB A34005 472 25 . . . A34005 473 1 As as IN A34005 473 2 the the DT A34005 473 3 Radius Radius NNP A34005 473 4 To to IN A34005 473 5 the the DT A34005 473 6 length length NN A34005 473 7 of of IN A34005 473 8 the the DT A34005 473 9 Shadow Shadow NNP A34005 473 10 , , , A34005 473 11 So so CC A34005 473 12 the the DT A34005 473 13 Tangent tangent NN A34005 473 14 of of IN A34005 473 15 the the DT A34005 473 16 Suns Suns NNPS A34005 473 17 Altitude Altitude NNP A34005 473 18 , , , A34005 473 19 or or CC A34005 473 20 the the DT A34005 473 21 parts part NNS A34005 473 22 cut cut VBN A34005 473 23 by by IN A34005 473 24 the the DT A34005 473 25 Thread thread NN A34005 473 26 To to IN A34005 473 27 the the DT A34005 473 28 height height NN A34005 473 29 of of IN A34005 473 30 the the DT A34005 473 31 Gnomon Gnomon NNP A34005 473 32 to to TO A34005 473 33 be be VB A34005 473 34 wrought work VBN A34005 473 35 as as IN A34005 473 36 in in IN A34005 473 37 the the DT A34005 473 38 third third JJ A34005 473 39 Proposition Proposition NNP A34005 473 40 ; ; : A34005 473 41 if if IN A34005 473 42 the the DT A34005 473 43 length length NN A34005 473 44 of of IN A34005 473 45 the the DT A34005 473 46 Gnomon Gnomon NNP A34005 473 47 , , , A34005 473 48 and and CC A34005 473 49 the the DT A34005 473 50 length length NN A34005 473 51 of of IN A34005 473 52 its -PRON- PRP$ A34005 473 53 shadow shadow NN A34005 473 54 were be VBD A34005 473 55 given give VBN A34005 473 56 ; ; : A34005 473 57 without without IN A34005 473 58 a a DT A34005 473 59 Quadrant Quadrant NNP A34005 473 60 we -PRON- PRP A34005 473 61 might may MD A34005 473 62 obtain obtain VB A34005 473 63 the the DT A34005 473 64 Suns Suns NNPS A34005 473 65 Altitude Altitude NNP A34005 473 66 , , , A34005 473 67 for for IN A34005 473 68 As as IN A34005 473 69 the the DT A34005 473 70 length length NN A34005 473 71 of of IN A34005 473 72 the the DT A34005 473 73 Gnomon Gnomon NNP A34005 473 74 Is be VBZ A34005 473 75 to to IN A34005 473 76 the the DT A34005 473 77 Radius Radius NNP A34005 473 78 So so RB A34005 473 79 is be VBZ A34005 473 80 the the DT A34005 473 81 Length Length NNP A34005 473 82 of of IN A34005 473 83 its -PRON- PRP$ A34005 473 84 Shadow Shadow NNP A34005 473 85 To to IN A34005 473 86 the the DT A34005 473 87 Tangent tangent NN A34005 473 88 of of IN A34005 473 89 the the DT A34005 473 90 Complement Complement NNP A34005 473 91 of of IN A34005 473 92 the the DT A34005 473 93 Suns Suns NNPS A34005 473 94 Altitude Altitude NNP A34005 473 95 . . . A34005 474 1 And and CC A34005 474 2 the the DT A34005 474 3 height height NN A34005 474 4 of of IN A34005 474 5 the the DT A34005 474 6 Sun Sun NNP A34005 474 7 , , , A34005 474 8 and and CC A34005 474 9 the the DT A34005 474 10 length length NN A34005 474 11 of of IN A34005 474 12 the the DT A34005 474 13 Gnomon Gnomon NNP A34005 474 14 assigned assign VBD A34005 474 15 ; ; : A34005 474 16 We -PRON- PRP A34005 474 17 may may MD A34005 474 18 find find VB A34005 474 19 the the DT A34005 474 20 length length NN A34005 474 21 of of IN A34005 474 22 the the DT A34005 474 23 Shadow Shadow NNP A34005 474 24 by by IN A34005 474 25 inverting invert VBG A34005 474 26 the the DT A34005 474 27 Proportion Proportion NNP A34005 474 28 aforesaid aforesaid VBD A34005 474 29 . . . A34005 475 1 As as IN A34005 475 2 the the DT A34005 475 3 Radius Radius NNP A34005 475 4 To to IN A34005 475 5 the the DT A34005 475 6 length length NN A34005 475 7 of of IN A34005 475 8 the the DT A34005 475 9 Gnomon Gnomon NNP A34005 475 10 So so IN A34005 475 11 the the DT A34005 475 12 Cotangent Cotangent NNP A34005 475 13 of of IN A34005 475 14 the the DT A34005 475 15 Suns Suns NNPS A34005 475 16 Altitude Altitude NNP A34005 475 17 To to IN A34005 475 18 the the DT A34005 475 19 Length Length NNP A34005 475 20 of of IN A34005 475 21 the the DT A34005 475 22 Shadow Shadow NNP A34005 475 23 . . . A34005 476 1 To to TO A34005 476 2 find find VB A34005 476 3 an an DT A34005 476 4 innaccessible innaccessible JJ A34005 476 5 Height height NN A34005 476 6 at at IN A34005 476 7 two two CD A34005 476 8 Stations station NNS A34005 476 9 . . . A34005 477 1 To to TO A34005 477 2 work work VB A34005 477 3 this this DT A34005 477 4 with with IN A34005 477 5 the the DT A34005 477 6 Pen Pen NNP A34005 477 7 , , , A34005 477 8 Out out IN A34005 477 9 of of IN A34005 477 10 the the DT A34005 477 11 Line Line NNP A34005 477 12 of of IN A34005 477 13 Sines sine NNS A34005 477 14 take take VB A34005 477 15 the the DT A34005 477 16 Sine Sine NNP A34005 477 17 of of IN A34005 477 18 70d 70d NNPS A34005 477 19 with with IN A34005 477 20 Compasses compass NNS A34005 477 21 , , , A34005 477 22 and and CC A34005 477 23 measure measure VB A34005 477 24 it -PRON- PRP A34005 477 25 on on IN A34005 477 26 the the DT A34005 477 27 equal equal JJ A34005 477 28 parts part NNS A34005 477 29 , , , A34005 477 30 where where WRB A34005 477 31 admit admit VBP A34005 477 32 it -PRON- PRP A34005 477 33 reach reach VB A34005 477 34 to to IN A34005 477 35 94 94 CD A34005 477 36 parts part NNS A34005 477 37 , , , A34005 477 38 Then then RB A34005 477 39 multiply multiply VB A34005 477 40 the the DT A34005 477 41 said say VBN A34005 477 42 number number NN A34005 477 43 by by IN A34005 477 44 the the DT A34005 477 45 distance distance NN A34005 477 46 102 102 CD A34005 477 47 , , , A34005 477 48 1 1 CD A34005 477 49 and and CC A34005 477 50 the the DT A34005 477 51 Product Product NNP A34005 477 52 will will MD A34005 477 53 be be VB A34005 477 54 95 95 CD A34005 477 55 , , , A34005 477 56 974 974 CD A34005 477 57 from from IN A34005 477 58 which which WDT A34005 477 59 cutting cut VBG A34005 477 60 off off RP A34005 477 61 three three CD A34005 477 62 figures figure NNS A34005 477 63 to to IN A34005 477 64 the the DT A34005 477 65 right right JJ A34005 477 66 hand hand NN A34005 477 67 the the DT A34005 477 68 residue residue NN A34005 477 69 being be VBG A34005 477 70 95 95 CD A34005 477 71 , , , A34005 477 72 974 974 CD A34005 477 73 , , , A34005 477 74 is be VBZ A34005 477 75 the the DT A34005 477 76 Altitude Altitude NNP A34005 477 77 sought seek VBD A34005 477 78 feré feré NNP A34005 477 79 , , , A34005 477 80 but but CC A34005 477 81 should should MD A34005 477 82 be be VB A34005 477 83 96 96 CD A34005 477 84 caused cause VBN A34005 477 85 by by IN A34005 477 86 omitting omit VBG A34005 477 87 some some DT A34005 477 88 fractionate fractionate JJ A34005 477 89 parts part NNS A34005 477 90 in in IN A34005 477 91 the the DT A34005 477 92 distance distance NN A34005 477 93 which which WDT A34005 477 94 we -PRON- PRP A34005 477 95 would would MD A34005 477 96 not not RB A34005 477 97 trouble trouble VB A34005 477 98 the the DT A34005 477 99 Reader Reader NNP A34005 477 100 withall withall NN A34005 477 101 . . . A34005 478 1 Another another DT A34005 478 2 more more RBR A34005 478 3 general general JJ A34005 478 4 way way NN A34005 478 5 by by IN A34005 478 6 any any DT A34005 478 7 two two CD A34005 478 8 Stations station NNS A34005 478 9 taken take VBN A34005 478 10 at at IN A34005 478 11 randome randome NN A34005 478 12 . . . A34005 479 1 ADmit admit VB A34005 479 2 the the DT A34005 479 3 first first JJ A34005 479 4 Station Station NNP A34005 479 5 to to TO A34005 479 6 be be VB A34005 479 7 as as RB A34005 479 8 before before RB A34005 479 9 at at IN A34005 479 10 G g NN A34005 479 11 where where WRB A34005 479 12 the the DT A34005 479 13 observed observed JJ A34005 479 14 Altitude altitude NN A34005 479 15 of of IN A34005 479 16 the the DT A34005 479 17 Object object NN A34005 479 18 was be VBD A34005 479 19 70d 70d NNS A34005 479 20 and and CC A34005 479 21 from from IN A34005 479 22 thence thence NN A34005 479 23 at at IN A34005 479 24 pleasure pleasure NN A34005 479 25 I -PRON- PRP A34005 479 26 remove remove VBP A34005 479 27 to to IN A34005 479 28 H h NN A34005 479 29 , , , A34005 479 30 where where WRB A34005 479 31 observing observe VBG A34005 479 32 again again RB A34005 479 33 I -PRON- PRP A34005 479 34 find find VBP A34005 479 35 the the DT A34005 479 36 Object object NN A34005 479 37 to to TO A34005 479 38 appear appear VB A34005 479 39 at at IN A34005 479 40 48d 48d CD A34005 479 41 29 29 CD A34005 479 42 m m NN A34005 479 43 of of IN A34005 479 44 Altitude Altitude NNP A34005 479 45 , , , A34005 479 46 and and CC A34005 479 47 the the DT A34005 479 48 measured measure VBN A34005 479 49 distance distance NN A34005 479 50 between between IN A34005 479 51 G g NN A34005 479 52 and and CC A34005 479 53 H H NNP A34005 479 54 to to TO A34005 479 55 be be VB A34005 479 56 ● ● NFP A34005 479 57 0 0 CD A34005 479 58 yards yard NNS A34005 479 59 , , , A34005 479 60 a a DT A34005 479 61 general general JJ A34005 479 62 Proportion proportion NN A34005 479 63 to to TO A34005 479 64 come come VB A34005 479 65 by by IN A34005 479 66 the the DT A34005 479 67 Altitude altitude NN A34005 479 68 in in IN A34005 479 69 this this DT A34005 479 70 case case NN A34005 479 71 will will MD A34005 479 72 hold hold VB A34005 479 73 . . . A34005 480 1 As as IN A34005 480 2 the the DT A34005 480 3 difference difference NN A34005 480 4 of of IN A34005 480 5 the the DT A34005 480 6 Cotangents Cotangents NNPS A34005 480 7 of of IN A34005 480 8 the the DT A34005 480 9 Arks Arks NNP A34005 480 10 cut cut VBD A34005 480 11 at at IN A34005 480 12 either either DT A34005 480 13 Station Station NNP A34005 480 14 . . . A34005 481 1 Is be VBZ A34005 481 2 to to IN A34005 481 3 the the DT A34005 481 4 Distance Distance NNP A34005 481 5 between between IN A34005 481 6 the the DT A34005 481 7 two two CD A34005 481 8 Stations Stations NNPS A34005 481 9 , , , A34005 481 10 So so RB A34005 481 11 is be VBZ A34005 481 12 the the DT A34005 481 13 Radius Radius NNP A34005 481 14 To to IN A34005 481 15 the the DT A34005 481 16 Altitude altitude NN A34005 481 17 of of IN A34005 481 18 the the DT A34005 481 19 Object Object NNP A34005 481 20 or or CC A34005 481 21 Tower Tower NNP A34005 481 22 . . . A34005 482 1 To to TO A34005 482 2 save save VB A34005 482 3 the the DT A34005 482 4 substracting substracting NN A34005 482 5 of of IN A34005 482 6 the the DT A34005 482 7 two two CD A34005 482 8 Arks Arks NNPS A34005 482 9 from from IN A34005 482 10 90d 90d NNS A34005 482 11 to to TO A34005 482 12 get get VB A34005 482 13 their -PRON- PRP$ A34005 482 14 Complements Complements NNPS A34005 482 15 , , , A34005 482 16 I -PRON- PRP A34005 482 17 might may MD A34005 482 18 have have VB A34005 482 19 accounted account VBN A34005 482 20 them -PRON- PRP A34005 482 21 when when WRB A34005 482 22 they -PRON- PRP A34005 482 23 were be VBD A34005 482 24 observed observe VBN A34005 482 25 from from IN A34005 482 26 the the DT A34005 482 27 right right JJ A34005 482 28 edge edge NN A34005 482 29 of of IN A34005 482 30 the the DT A34005 482 31 Quadrant Quadrant NNP A34005 482 32 towards towards IN A34005 482 33 the the DT A34005 482 34 left left NN A34005 482 35 , , , A34005 482 36 and and CC A34005 482 37 have have VBP A34005 482 38 found find VBN A34005 482 39 them -PRON- PRP A34005 482 40 to to TO A34005 482 41 have have VB A34005 482 42 been be VBN A34005 482 43 20d 20d NNS A34005 482 44 and and CC A34005 482 45 41d 41d NNS A34005 482 46 31 31 CD A34005 482 47 m m NN A34005 482 48 ; ; : A34005 482 49 to to TO A34005 482 50 work work VB A34005 482 51 this this DT A34005 482 52 Proportion proportion NN A34005 482 53 lay lie VBD A34005 482 54 the the DT A34005 482 55 Thread thread NN A34005 482 56 over over IN A34005 482 57 these these DT A34005 482 58 two two CD A34005 482 59 Arks ark NNS A34005 482 60 in in IN A34005 482 61 the the DT A34005 482 62 Limb Limb NNP A34005 482 63 from from IN A34005 482 64 the the DT A34005 482 65 left left JJ A34005 482 66 edge edge NN A34005 482 67 towards towards IN A34005 482 68 the the DT A34005 482 69 right right NN A34005 482 70 , , , A34005 482 71 and and CC A34005 482 72 take take VB A34005 482 73 out out RP A34005 482 74 their -PRON- PRP$ A34005 482 75 Tangents tangent NNS A34005 482 76 out out IN A34005 482 77 of of IN A34005 482 78 the the DT A34005 482 79 Quadrat Quadrat NNP A34005 482 80 and and CC A34005 482 81 Shadows Shadows NNP A34005 482 82 , , , A34005 482 83 then then RB A34005 482 84 substract substract VB A34005 482 85 the the DT A34005 482 86 less less JJR A34005 482 87 from from IN A34005 482 88 the the DT A34005 482 89 greater great JJR A34005 482 90 , , , A34005 482 91 the the DT A34005 482 92 remainder remainder NN A34005 482 93 is be VBZ A34005 482 94 the the DT A34005 482 95 first first JJ A34005 482 96 tearm tearm NN A34005 482 97 of of IN A34005 482 98 the the DT A34005 482 99 Proportion Proportion NNP A34005 482 100 , , , A34005 482 101 being be VBG A34005 482 102 the the DT A34005 482 103 Divisor Divisor NNP A34005 482 104 in in IN A34005 482 105 the the DT A34005 482 106 Rule Rule NNP A34005 482 107 of of IN A34005 482 108 three three CD A34005 482 109 to to TO A34005 482 110 be be VB A34005 482 111 wrought work VBN A34005 482 112 by by IN A34005 482 113 annexing annex VBG A34005 482 114 the the DT A34005 482 115 Ciphers Ciphers NNPS A34005 482 116 of of IN A34005 482 117 the the DT A34005 482 118 Radius Radius NNP A34005 482 119 to to IN A34005 482 120 the the DT A34005 482 121 Distance Distance NNP A34005 482 122 ; ; : A34005 482 123 or or CC A34005 482 124 as as IN A34005 482 125 Multiplication Multiplication NNP A34005 482 126 in in IN A34005 482 127 Decimalls Decimalls NNP A34005 482 128 ; ; : A34005 482 129 and and CC A34005 482 130 then then RB A34005 482 131 dividing divide VBG A34005 482 132 by by IN A34005 482 133 the the DT A34005 482 134 first first JJ A34005 482 135 tearm tearm NN A34005 482 136 the the DT A34005 482 137 Quotient Quotient NNP A34005 482 138 shews shew VBZ A34005 482 139 the the DT A34005 482 140 Altitude altitude NN A34005 482 141 sought seek VBD A34005 482 142 , , , A34005 482 143 41d 41d VBZ A34005 482 144 31′ 31′ NNP A34005 482 145 Tangent tangent NN A34005 482 146 from from IN A34005 482 147 the the DT A34005 482 148 Shadows Shadows NNPS A34005 482 149 is be VBZ A34005 482 150 — — : A34005 482 151 885 885 CD A34005 482 152 20d 20d NNS A34005 482 153 Tangent tangent NN A34005 482 154 from from IN A34005 482 155 the the DT A34005 482 156 Quadrat Quadrat NNP A34005 482 157 is be VBZ A34005 482 158 — — : A34005 482 159 364 364 CD A34005 482 160 Difference difference NN A34005 482 161 — — : A34005 482 162 521 521 CD A34005 482 163 By by IN A34005 482 164 which which WDT A34005 482 165 if if IN A34005 482 166 I -PRON- PRP A34005 482 167 divide divide VBP A34005 482 168 50000 50000 CD A34005 482 169 — — : A34005 482 170 the the DT A34005 482 171 distance distance NN A34005 482 172 encreased encrease VBN A34005 482 173 by by IN A34005 482 174 annexing annex VBG A34005 482 175 the the DT A34005 482 176 Ciphers Ciphers NNPS A34005 482 177 of of IN A34005 482 178 the the DT A34005 482 179 Radius Radius NNP A34005 482 180 thereto thereto NN A34005 482 181 , , , A34005 482 182 the the DT A34005 482 183 Quotient Quotient NNP A34005 482 184 will will MD A34005 482 185 be be VB A34005 482 186 96 96 CD A34005 482 187 fere fere NN A34005 482 188 the the DT A34005 482 189 Altitude altitude NN A34005 482 190 sought seek VBD A34005 482 191 . . . A34005 483 1 This this DT A34005 483 2 may may MD A34005 483 3 be be VB A34005 483 4 performed perform VBN A34005 483 5 otherwise otherwise RB A34005 483 6 without without IN A34005 483 7 the the DT A34005 483 8 Pen Pen NNP A34005 483 9 , , , A34005 483 10 as as IN A34005 483 11 shall shall MD A34005 483 12 afterwards afterwards RB A34005 483 13 be be VB A34005 483 14 shewn shew VBN A34005 483 15 ; ; : A34005 483 16 If if IN A34005 483 17 the the DT A34005 483 18 distance distance NN A34005 483 19 from from IN A34005 483 20 the the DT A34005 483 21 Stations Stations NNPS A34005 483 22 either either CC A34005 483 23 to to IN A34005 483 24 the the DT A34005 483 25 foot foot NN A34005 483 26 or or CC A34005 483 27 the the DT A34005 483 28 top top NN A34005 483 29 of of IN A34005 483 30 the the DT A34005 483 31 Tower Tower NNP A34005 483 32 be be VB A34005 483 33 desired desire VBN A34005 483 34 , , , A34005 483 35 the the DT A34005 483 36 Proportions Proportions NNPS A34005 483 37 to to TO A34005 483 38 Calculate calculate VB A34005 483 39 them -PRON- PRP A34005 483 40 will will MD A34005 483 41 be be VB A34005 483 42 As as IN A34005 483 43 the the DT A34005 483 44 difference difference NN A34005 483 45 of of IN A34005 483 46 the the DT A34005 483 47 Cotangents Cotangents NNPS A34005 483 48 of of IN A34005 483 49 the the DT A34005 483 50 Arks Arks NNP A34005 483 51 cut cut VBD A34005 483 52 at at IN A34005 483 53 either either DT A34005 483 54 Station Station NNP A34005 483 55 Is be VBZ A34005 483 56 to to IN A34005 483 57 the the DT A34005 483 58 distance distance NN A34005 483 59 between between IN A34005 483 60 those those DT A34005 483 61 Stations station NNS A34005 483 62 , , , A34005 483 63 So so RB A34005 483 64 is be VBZ A34005 483 65 the the DT A34005 483 66 Cotangent Cotangent NNP A34005 483 67 of of IN A34005 483 68 the the DT A34005 483 69 greater great JJR A34005 483 70 Arke Arke NNP A34005 483 71 to to IN A34005 483 72 the the DT A34005 483 73 lesser less JJR A34005 483 74 lesser less JJR A34005 483 75 Arke Arke NNP A34005 483 76 to to IN A34005 483 77 the the DT A34005 483 78 greater great JJR A34005 483 79 distance distance NN A34005 483 80 from from IN A34005 483 81 the the DT A34005 483 82 Station Station NNP A34005 483 83 to to IN A34005 483 84 the the DT A34005 483 85 foot foot NN A34005 483 86 of of IN A34005 483 87 the the DT A34005 483 88 Tower Tower NNP A34005 483 89 : : : A34005 483 90 And and CC A34005 483 91 so so RB A34005 483 92 is be VBZ A34005 483 93 the the DT A34005 483 94 Cosecant Cosecant NNP A34005 483 95 of of IN A34005 483 96 the the DT A34005 483 97 greater great JJR A34005 483 98 Ark Ark NNP A34005 483 99 to to IN A34005 483 100 the the DT A34005 483 101 lesser less JJR A34005 483 102 distance distance NN A34005 483 103 lesser less JJR A34005 483 104 Ark Ark NNP A34005 483 105 to to IN A34005 483 106 the the DT A34005 483 107 greater great JJR A34005 483 108 distance distance NN A34005 483 109 from from IN A34005 483 110 the the DT A34005 483 111 top top NN A34005 483 112 of of IN A34005 483 113 the the DT A34005 483 114 Tower Tower NNP A34005 483 115 to to IN A34005 483 116 the the DT A34005 483 117 eye eye NN A34005 483 118 , , , A34005 483 119 Or or CC A34005 483 120 having have VBG A34005 483 121 first first RB A34005 483 122 obtained obtain VBN A34005 483 123 the the DT A34005 483 124 Height Height NNP A34005 483 125 , , , A34005 483 126 we -PRON- PRP A34005 483 127 may may MD A34005 483 128 shun shun VB A34005 483 129 these these DT A34005 483 130 Secants secant NNS A34005 483 131 , , , A34005 483 132 for for CC A34005 483 133 As as IN A34005 483 134 the the DT A34005 483 135 Sine Sine NNP A34005 483 136 of of IN A34005 483 137 the the DT A34005 483 138 Ark Ark NNP A34005 483 139 of of IN A34005 483 140 the the DT A34005 483 141 Towers Towers NNPS A34005 483 142 observed observe VBD A34005 483 143 Altitude altitude NN A34005 483 144 at at IN A34005 483 145 the the DT A34005 483 146 first first JJ A34005 483 147 Station Station NNP A34005 483 148 . . . A34005 484 1 Is be VBZ A34005 484 2 to to IN A34005 484 3 the the DT A34005 484 4 height height NN A34005 484 5 of of IN A34005 484 6 the the DT A34005 484 7 Tower Tower NNP A34005 484 8 or or CC A34005 484 9 Object Object NNP A34005 484 10 above above IN A34005 484 11 the the DT A34005 484 12 eye eye NN A34005 484 13 , , , A34005 484 14 So so RB A34005 484 15 is be VBZ A34005 484 16 the the DT A34005 484 17 Radius Radius NNP A34005 484 18 To to IN A34005 484 19 the the DT A34005 484 20 distance distance NN A34005 484 21 between between IN A34005 484 22 the the DT A34005 484 23 Eye Eye NNP A34005 484 24 and and CC A34005 484 25 the the DT A34005 484 26 Top top NN A34005 484 27 of of IN A34005 484 28 the the DT A34005 484 29 Tower Tower NNP A34005 484 30 ; ; : A34005 484 31 and and CC A34005 484 32 by by IN A34005 484 33 the the DT A34005 484 34 same same JJ A34005 484 35 Proportion Proportion NNP A34005 484 36 using use VBG A34005 484 37 the the DT A34005 484 38 Ark Ark NNP A34005 484 39 at at IN A34005 484 40 the the DT A34005 484 41 second second JJ A34005 484 42 Station Station NNP A34005 484 43 , , , A34005 484 44 the the DT A34005 484 45 distance distance NN A34005 484 46 thence thence NN A34005 484 47 between between IN A34005 484 48 the the DT A34005 484 49 Eye Eye NNP A34005 484 50 and and CC A34005 484 51 the the DT A34005 484 52 Top top NN A34005 484 53 of of IN A34005 484 54 the the DT A34005 484 55 Tower Tower NNP A34005 484 56 may may MD A34005 484 57 be be VB A34005 484 58 likewise likewise RB A34005 484 59 found find VBN A34005 484 60 . . . A34005 485 1 If if IN A34005 485 2 any any DT A34005 485 3 one one CD A34005 485 4 desire desire NN A34005 485 5 to to TO A34005 485 6 shun shun VB A34005 485 7 this this DT A34005 485 8 Proportion proportion NN A34005 485 9 in in IN A34005 485 10 a a DT A34005 485 11 difference difference NN A34005 485 12 , , , A34005 485 13 as as IN A34005 485 14 perhaps perhaps RB A34005 485 15 wanting want VBG A34005 485 16 natural natural JJ A34005 485 17 Tables table NNS A34005 485 18 , , , A34005 485 19 it -PRON- PRP A34005 485 20 may may MD A34005 485 21 be be VB A34005 485 22 done do VBN A34005 485 23 at at IN A34005 485 24 two two CD A34005 485 25 Operations operation NNS A34005 485 26 : : : A34005 485 27 The the DT A34005 485 28 first first JJ A34005 485 29 to to TO A34005 485 30 get get VB A34005 485 31 the the DT A34005 485 32 distance distance NN A34005 485 33 from from IN A34005 485 34 the the DT A34005 485 35 eye eye NN A34005 485 36 to to IN A34005 485 37 the the DT A34005 485 38 Top Top NNP A34005 485 39 of of IN A34005 485 40 the the DT A34005 485 41 Tower Tower NNP A34005 485 42 at at IN A34005 485 43 first first JJ A34005 485 44 Station Station NNP A34005 485 45 , , , A34005 485 46 in in IN A34005 485 47 regard regard NN A34005 485 48 the the DT A34005 485 49 difference difference NN A34005 485 50 of of IN A34005 485 51 two two CD A34005 485 52 Arks Arks NNP A34005 485 53 is be VBZ A34005 485 54 equal equal JJ A34005 485 55 to to IN A34005 485 56 the the DT A34005 485 57 difference difference NN A34005 485 58 of of IN A34005 485 59 their -PRON- PRP$ A34005 485 60 Complements Complements NNPS A34005 485 61 , , , A34005 485 62 it -PRON- PRP A34005 485 63 will will MD A34005 485 64 hold hold VB A34005 485 65 As as IN A34005 485 66 the the DT A34005 485 67 Sine Sine NNP A34005 485 68 of of IN A34005 485 69 the the DT A34005 485 70 Ark Ark NNP A34005 485 71 of of IN A34005 485 72 difference difference NN A34005 485 73 between between IN A34005 485 74 the the DT A34005 485 75 Angles Angles NNPS A34005 485 76 observed observe VBD A34005 485 77 at at IN A34005 485 78 each each DT A34005 485 79 Station Station NNP A34005 485 80 Is be VBZ A34005 485 81 to to IN A34005 485 82 the the DT A34005 485 83 distance distance NN A34005 485 84 between between IN A34005 485 85 the the DT A34005 485 86 two two CD A34005 485 87 Stations Stations NNPS A34005 485 88 , , , A34005 485 89 So so RB A34005 485 90 is be VBZ A34005 485 91 the the DT A34005 485 92 Sine Sine NNP A34005 485 93 of of IN A34005 485 94 the the DT A34005 485 95 Angle Angle NNP A34005 485 96 observed observe VBN A34005 485 97 at at IN A34005 485 98 the the DT A34005 485 99 furthest furth JJS A34005 485 100 Station Station NNP A34005 485 101 , , , A34005 485 102 To to IN A34005 485 103 the the DT A34005 485 104 distance distance NN A34005 485 105 between between IN A34005 485 106 the the DT A34005 485 107 eye eye NN A34005 485 108 and and CC A34005 485 109 the the DT A34005 485 110 Top top NN A34005 485 111 of of IN A34005 485 112 the the DT A34005 485 113 Object object NN A34005 485 114 at at IN A34005 485 115 the the DT A34005 485 116 first first JJ A34005 485 117 Station Station NNP A34005 485 118 , , , A34005 485 119 which which WDT A34005 485 120 being be VBG A34005 485 121 had have VBN A34005 485 122 , , , A34005 485 123 it -PRON- PRP A34005 485 124 then then RB A34005 485 125 holds hold VBZ A34005 485 126 , , , A34005 485 127 As as IN A34005 485 128 the the DT A34005 485 129 Radius Radius NNP A34005 485 130 To to IN A34005 485 131 the the DT A34005 485 132 said say VBN A34005 485 133 Distance Distance NNP A34005 485 134 , , , A34005 485 135 So so CC A34005 485 136 the the DT A34005 485 137 Sine Sine NNP A34005 485 138 of of IN A34005 485 139 the the DT A34005 485 140 Angle Angle NNP A34005 485 141 observed observe VBN A34005 485 142 at at IN A34005 485 143 the the DT A34005 485 144 first first JJ A34005 485 145 Station Station NNP A34005 485 146 , , , A34005 485 147 To to IN A34005 485 148 the the DT A34005 485 149 Altitude altitude NN A34005 485 150 of of IN A34005 485 151 the the DT A34005 485 152 Object object NN A34005 485 153 . . . A34005 486 1 The the DT A34005 486 2 rest rest NN A34005 486 3 of of IN A34005 486 4 the the DT A34005 486 5 Lines line NNS A34005 486 6 on on IN A34005 486 7 the the DT A34005 486 8 Quadrant Quadrant NNP A34005 486 9 are be VBP A34005 486 10 either either CC A34005 486 11 for for IN A34005 486 12 working work VBG A34005 486 13 of of IN A34005 486 14 Proportions Proportions NNP A34005 486 15 , , , A34005 486 16 or or CC A34005 486 17 for for IN A34005 486 18 Protractions protraction NNS A34005 486 19 , , , A34005 486 20 and and CC A34005 486 21 Dyalling dyalle VBG A34005 486 22 depending depend VBG A34005 486 23 thereon thereon NN A34005 486 24 ; ; : A34005 486 25 wherefore wherefore NN A34005 486 26 I -PRON- PRP A34005 486 27 thought think VBD A34005 486 28 fit fit JJ A34005 486 29 to to TO A34005 486 30 reduce reduce VB A34005 486 31 all all PDT A34005 486 32 the the DT A34005 486 33 common common JJ A34005 486 34 Cases case NNS A34005 486 35 of of IN A34005 486 36 Plain Plain NNP A34005 486 37 and and CC A34005 486 38 Sphoerical Sphoerical NNP A34005 486 39 Triangles Triangles NNPS A34005 486 40 to to IN A34005 486 41 setled setle VBN A34005 486 42 Cannons Cannons NNPS A34005 486 43 , , , A34005 486 44 and and CC A34005 486 45 to to TO A34005 486 46 let let VB A34005 486 47 them -PRON- PRP A34005 486 48 precede precede VB A34005 486 49 their -PRON- PRP$ A34005 486 50 Application application NN A34005 486 51 to to IN A34005 486 52 this this DT A34005 486 53 or or CC A34005 486 54 other other JJ A34005 486 55 Instruments Instruments NNPS A34005 486 56 , , , A34005 486 57 which which WDT A34005 486 58 shall shall MD A34005 486 59 be be VB A34005 486 60 endeavoured endeavour VBN A34005 486 61 ; ; : A34005 486 62 it -PRON- PRP A34005 486 63 being be VBG A34005 486 64 the the DT A34005 486 65 cheif cheif NNP A34005 486 66 aim aim NN A34005 486 67 of of IN A34005 486 68 this this DT A34005 486 69 Book Book NNP A34005 486 70 to to TO A34005 486 71 render render VB A34005 486 72 Calculation Calculation NNP A34005 486 73 facil facil NN A34005 486 74 , , , A34005 486 75 in in IN A34005 486 76 shunning shun VBG A34005 486 77 that that DT A34005 486 78 measure measure NN A34005 486 79 of of IN A34005 486 80 Triangular Triangular NNP A34005 486 81 knowledge knowledge NN A34005 486 82 hitherto hitherto NNP A34005 486 83 required require VBD A34005 486 84 , , , A34005 486 85 and and CC A34005 486 86 to to TO A34005 486 87 keep keep VB A34005 486 88 a a DT A34005 486 89 check check NN A34005 486 90 upon upon IN A34005 486 91 it -PRON- PRP A34005 486 92 . . . A34005 487 1 Some some DT A34005 487 2 Affections affection NNS A34005 487 3 of of IN A34005 487 4 Plain plain JJ A34005 487 5 TRIANGLES TRIANGLES NNP A34005 487 6 . . . A34005 488 1 THat that IN A34005 488 2 any any DT A34005 488 3 two two CD A34005 488 4 sides side NNS A34005 488 5 are be VBP A34005 488 6 greater great JJR A34005 488 7 then then RB A34005 488 8 the the DT A34005 488 9 third third JJ A34005 488 10 . . . A34005 489 1 That that IN A34005 489 2 in in IN A34005 489 3 every every DT A34005 489 4 Triangle Triangle NNP A34005 489 5 the the DT A34005 489 6 greater great JJR A34005 489 7 side side NN A34005 489 8 subtendeth subtendeth VBP A34005 489 9 the the DT A34005 489 10 greater great JJR A34005 489 11 Angle Angle NNP A34005 489 12 , , , A34005 489 13 and and CC A34005 489 14 the the DT A34005 489 15 Converse Converse NNP A34005 489 16 . . . A34005 490 1 That that IN A34005 490 2 the the DT A34005 490 3 three three CD A34005 490 4 Angles Angles NNPS A34005 490 5 of of IN A34005 490 6 every every DT A34005 490 7 Triangle Triangle NNP A34005 490 8 are be VBP A34005 490 9 equal equal JJ A34005 490 10 to to IN A34005 490 11 two two CD A34005 490 12 right right JJ A34005 490 13 Angles Angles NNPS A34005 490 14 , , , A34005 490 15 or or CC A34005 490 16 to to IN A34005 490 17 180 180 CD A34005 490 18 . . . A34005 491 1 That that IN A34005 491 2 any any DT A34005 491 3 side side NN A34005 491 4 being be VBG A34005 491 5 continued continue VBN A34005 491 6 , , , A34005 491 7 the the DT A34005 491 8 outward outward JJ A34005 491 9 Angle Angle NNP A34005 491 10 is be VBZ A34005 491 11 equal equal JJ A34005 491 12 to to IN A34005 491 13 the the DT A34005 491 14 two two CD A34005 491 15 inward inward JJ A34005 491 16 Opposite opposite JJ A34005 491 17 ones one NNS A34005 491 18 . . . A34005 492 1 That that IN A34005 492 2 a a DT A34005 492 3 Plain plain JJ A34005 492 4 right right NN A34005 492 5 angled angle VBD A34005 492 6 Triangle Triangle NNP A34005 492 7 hath hath NNP A34005 492 8 but but CC A34005 492 9 one one CD A34005 492 10 right right JJ A34005 492 11 Angle Angle NNP A34005 492 12 , , , A34005 492 13 which which WDT A34005 492 14 is be VBZ A34005 492 15 equal equal JJ A34005 492 16 to to IN A34005 492 17 both both DT A34005 492 18 the the DT A34005 492 19 other other JJ A34005 492 20 Angles Angles NNPS A34005 492 21 , , , A34005 492 22 and and CC A34005 492 23 therefore therefore RB A34005 492 24 those those DT A34005 492 25 two two CD A34005 492 26 Angles angle NNS A34005 492 27 are be VBP A34005 492 28 necessarily necessarily RB A34005 492 29 the the DT A34005 492 30 Complements Complements NNPS A34005 492 31 one one CD A34005 492 32 of of IN A34005 492 33 another another DT A34005 492 34 . . . A34005 493 1 By by IN A34005 493 2 the the DT A34005 493 3 Complement Complement NNP A34005 493 4 of of IN A34005 493 5 an an DT A34005 493 6 Arch Arch NNP A34005 493 7 is be VBZ A34005 493 8 meant mean VBN A34005 493 9 the the DT A34005 493 10 residue residue NN A34005 493 11 of of IN A34005 493 12 that that DT A34005 493 13 Arch Arch NNP A34005 493 14 taken take VBN A34005 493 15 from from IN A34005 493 16 90d 90d NNS A34005 493 17 unless unless IN A34005 493 18 it -PRON- PRP A34005 493 19 be be VB A34005 493 20 expressed express VBN A34005 493 21 the the DT A34005 493 22 Complement Complement NNP A34005 493 23 of of IN A34005 493 24 it -PRON- PRP A34005 493 25 to to IN A34005 493 26 180d 180d NNPS A34005 493 27 , , , A34005 493 28 to to TO A34005 493 29 save save VB A34005 493 30 the the DT A34005 493 31 rehearsal rehearsal NN A34005 493 32 of of IN A34005 493 33 these these DT A34005 493 34 long long JJ A34005 493 35 Words word NNS A34005 493 36 , , , A34005 493 37 The the DT A34005 493 38 Tangent Tangent NNP A34005 493 39 of of IN A34005 493 40 the the DT A34005 493 41 Complement Complement NNP A34005 493 42 , , , A34005 493 43 The the DT A34005 493 44 Secant secant NN A34005 493 45 of of IN A34005 493 46 the the DT A34005 493 47 Complement Complement NNP A34005 493 48 ; ; : A34005 493 49 others other NNS A34005 493 50 are be VBP A34005 493 51 substituted substitute VBN A34005 493 52 , , , A34005 493 53 namely namely RB A34005 493 54 the the DT A34005 493 55 Cotangent Cotangent NNP A34005 493 56 and and CC A34005 493 57 the the DT A34005 493 58 Cosecant Cosecant NNP A34005 493 59 . . . A34005 494 1 An an DT A34005 494 2 Obutse Obutse NNP A34005 494 3 angular angular JJ A34005 494 4 Triangle Triangle NNP A34005 494 5 hath hath NN A34005 494 6 but but CC A34005 494 7 one one CD A34005 494 8 Obtuse Obtuse NNP A34005 494 9 angle angle NN A34005 494 10 , , , A34005 494 11 an an DT A34005 494 12 Acutangular Acutangular NNP A34005 494 13 Triangle Triangle NNP A34005 494 14 hath hath NN A34005 494 15 none none NN A34005 494 16 . . . A34005 495 1 If if IN A34005 495 2 an an DT A34005 495 3 Angle angle NN A34005 495 4 of of IN A34005 495 5 a a DT A34005 495 6 Triangle Triangle NNP A34005 495 7 be be VB A34005 495 8 greater great JJR A34005 495 9 then then RB A34005 495 10 the the DT A34005 495 11 rest rest NN A34005 495 12 , , , A34005 495 13 it -PRON- PRP A34005 495 14 is be VBZ A34005 495 15 Obtuse Obtuse NNP A34005 495 16 , , , A34005 495 17 if if IN A34005 495 18 less less RBR A34005 495 19 Acute acute JJ A34005 495 20 . . . A34005 496 1 The the DT A34005 496 2 Side side NN A34005 496 3 subtending subtend VBG A34005 496 4 the the DT A34005 496 5 right right JJ A34005 496 6 Angle Angle NNP A34005 496 7 is be VBZ A34005 496 8 called call VBN A34005 496 9 the the DT A34005 496 10 Hipotenusal Hipotenusal NNP A34005 496 11 and and CC A34005 496 12 the the DT A34005 496 13 other other JJ A34005 496 14 two two CD A34005 496 15 the the DT A34005 496 16 Sides Sides NNPS A34005 496 17 or or CC A34005 496 18 Leggs Leggs NNP A34005 496 19 . . . A34005 497 1 1 1 LS A34005 497 2 . . . A34005 498 1 To to TO A34005 498 2 find find VB A34005 498 3 a a DT A34005 498 4 side side NN A34005 498 5 . . . A34005 499 1 Given give VBN A34005 499 2 the the DT A34005 499 3 Hipotenusal Hipotenusal NNP A34005 499 4 , , , A34005 499 5 and and CC A34005 499 6 one one CD A34005 499 7 of of IN A34005 499 8 the the DT A34005 499 9 Acute Acute NNP A34005 499 10 Angles Angles NNPS A34005 499 11 , , , A34005 499 12 and and CC A34005 499 13 consequently consequently RB A34005 499 14 both both DT A34005 499 15 . . . A34005 500 1 As as IN A34005 500 2 the the DT A34005 500 3 Radius Radius NNP A34005 500 4 , , , A34005 500 5 To to IN A34005 500 6 the the DT A34005 500 7 Sine Sine NNP A34005 500 8 of of IN A34005 500 9 the the DT A34005 500 10 Angle Angle NNP A34005 500 11 opposite opposite IN A34005 500 12 to to IN A34005 500 13 the the DT A34005 500 14 side side NN A34005 500 15 sought seek VBD A34005 500 16 : : : A34005 500 17 So so RB A34005 500 18 is be VBZ A34005 500 19 the the DT A34005 500 20 Hipotenusal Hipotenusal NNP A34005 500 21 , , , A34005 500 22 To to IN A34005 500 23 the the DT A34005 500 24 side side NN A34005 500 25 sought seek VBN A34005 500 26 . . . A34005 501 1 2 2 LS A34005 501 2 . . . A34005 502 1 To to TO A34005 502 2 find find VB A34005 502 3 a a DT A34005 502 4 Side side NN A34005 502 5 . . . A34005 503 1 Given give VBN A34005 503 2 the the DT A34005 503 3 Hipotenusal Hipotenusal NNP A34005 503 4 and and CC A34005 503 5 the the DT A34005 503 6 other other JJ A34005 503 7 side side NN A34005 503 8 . . . A34005 504 1 As as IN A34005 504 2 the the DT A34005 504 3 Hipotenusal Hipotenusal NNP A34005 504 4 To to IN A34005 504 5 the the DT A34005 504 6 given give VBN A34005 504 7 side side NN A34005 504 8 : : : A34005 504 9 So so RB A34005 504 10 is be VBZ A34005 504 11 the the DT A34005 504 12 Radius Radius NNP A34005 504 13 to to IN A34005 504 14 the the DT A34005 504 15 Sine Sine NNP A34005 504 16 of of IN A34005 504 17 the the DT A34005 504 18 Angle Angle NNP A34005 504 19 opposite opposite IN A34005 504 20 to to IN A34005 504 21 the the DT A34005 504 22 given give VBN A34005 504 23 side side NN A34005 504 24 . . . A34005 505 1 Then then RB A34005 505 2 take take VB A34005 505 3 the the DT A34005 505 4 Complement Complement NNP A34005 505 5 of of IN A34005 505 6 that that DT A34005 505 7 Angle angle NN A34005 505 8 for for IN A34005 505 9 the the DT A34005 505 10 other other JJ A34005 505 11 Angle Angle NNP A34005 505 12 . . . A34005 506 1 As as IN A34005 506 2 the the DT A34005 506 3 Radius Radius NNP A34005 506 4 , , , A34005 506 5 to to IN A34005 506 6 the the DT A34005 506 7 Hipotenusal Hipotenusal NNP A34005 506 8 : : : A34005 506 9 So so RB A34005 506 10 is be VBZ A34005 506 11 the the DT A34005 506 12 Sine Sine NNP A34005 506 13 of of IN A34005 506 14 the the DT A34005 506 15 Angle Angle NNP A34005 506 16 opposite opposite NN A34005 506 17 , , , A34005 506 18 To to IN A34005 506 19 the the DT A34005 506 20 side side NN A34005 506 21 sought seek VBN A34005 506 22 , , , A34005 506 23 To to IN A34005 506 24 the the DT A34005 506 25 side side NN A34005 506 26 sought seek VBD A34005 506 27 3 3 CD A34005 506 28 . . . A34005 507 1 To to TO A34005 507 2 find find VB A34005 507 3 a a DT A34005 507 4 Side side NN A34005 507 5 . . . A34005 508 1 Given give VBN A34005 508 2 a a DT A34005 508 3 Side side NN A34005 508 4 , , , A34005 508 5 and and CC A34005 508 6 one one CD A34005 508 7 Acute Acute NNP A34005 508 8 Angle Angle NNP A34005 508 9 , , , A34005 508 10 and and CC A34005 508 11 by by IN A34005 508 12 consequence consequence NN A34005 508 13 both both CC A34005 508 14 As as IN A34005 508 15 the the DT A34005 508 16 Radius Radius NNP A34005 508 17 , , , A34005 508 18 To to IN A34005 508 19 Tangent Tangent NNP A34005 508 20 of of IN A34005 508 21 the the DT A34005 508 22 Angle Angle NNP A34005 508 23 opposite opposite IN A34005 508 24 to to IN A34005 508 25 the the DT A34005 508 26 side side NN A34005 508 27 sought seek VBD A34005 508 28 : : : A34005 508 29 So so RB A34005 508 30 is be VBZ A34005 508 31 the the DT A34005 508 32 given give VBN A34005 508 33 side side NN A34005 508 34 , , , A34005 508 35 To to IN A34005 508 36 the the DT A34005 508 37 side side NN A34005 508 38 sought seek VBN A34005 508 39 . . . A34005 509 1 Or or CC A34005 509 2 , , , A34005 509 3 As as IN A34005 509 4 the the DT A34005 509 5 Sine Sine NNP A34005 509 6 of of IN A34005 509 7 the the DT A34005 509 8 Angle Angle NNP A34005 509 9 opposite opposite IN A34005 509 10 to to IN A34005 509 11 the the DT A34005 509 12 given give VBN A34005 509 13 side side NN A34005 509 14 Is be VBZ A34005 509 15 to to IN A34005 509 16 the the DT A34005 509 17 given give VBN A34005 509 18 side side NN A34005 509 19 : : : A34005 509 20 So so RB A34005 509 21 is be VBZ A34005 509 22 the the DT A34005 509 23 sine sine NN A34005 509 24 of of IN A34005 509 25 the the DT A34005 509 26 other other JJ A34005 509 27 Angle Angle NNP A34005 509 28 To to IN A34005 509 29 the the DT A34005 509 30 Side side NN A34005 509 31 sought seek VBD A34005 509 32 . . . A34005 510 1 4 4 LS A34005 510 2 . . . A34005 511 1 To to TO A34005 511 2 find find VB A34005 511 3 the the DT A34005 511 4 Hipotenusal Hipotenusal NNP A34005 511 5 . . . A34005 512 1 Given give VBN A34005 512 2 one one CD A34005 512 3 of of IN A34005 512 4 the the DT A34005 512 5 Sides Sides NNPS A34005 512 6 , , , A34005 512 7 and and CC A34005 512 8 an an DT A34005 512 9 Acute acute JJ A34005 512 10 Angle Angle NNP A34005 512 11 consequently consequently RB A34005 512 12 both both DT A34005 512 13 , , , A34005 512 14 As as IN A34005 512 15 the the DT A34005 512 16 Sine Sine NNP A34005 512 17 of of IN A34005 512 18 the the DT A34005 512 19 Angle Angle NNP A34005 512 20 opposite opposite IN A34005 512 21 to to IN A34005 512 22 the the DT A34005 512 23 given give VBN A34005 512 24 side side NN A34005 512 25 , , , A34005 512 26 Is be VBZ A34005 512 27 to to IN A34005 512 28 the the DT A34005 512 29 Radius radius NN A34005 512 30 : : : A34005 512 31 So so RB A34005 512 32 is be VBZ A34005 512 33 the the DT A34005 512 34 given give VBN A34005 512 35 Side side NN A34005 512 36 , , , A34005 512 37 To to IN A34005 512 38 the the DT A34005 512 39 Hypothenusal Hypothenusal NNP A34005 512 40 Or Or NNP A34005 512 41 , , , A34005 512 42 As as IN A34005 512 43 the the DT A34005 512 44 Radius Radius NNP A34005 512 45 , , , A34005 512 46 To to IN A34005 512 47 Secant Secant NNP A34005 512 48 of of IN A34005 512 49 the the DT A34005 512 50 Angle angle NN A34005 512 51 adjacent adjacent JJ A34005 512 52 to to IN A34005 512 53 the the DT A34005 512 54 given give VBN A34005 512 55 Side side NN A34005 512 56 : : : A34005 512 57 So so RB A34005 512 58 is be VBZ A34005 512 59 the the DT A34005 512 60 given give VBN A34005 512 61 side side NN A34005 512 62 , , , A34005 512 63 To to IN A34005 512 64 the the DT A34005 512 65 Hipotenusal Hipotenusal NNP A34005 512 66 . . . A34005 513 1 5 5 CD A34005 513 2 . . . A34005 514 1 To to TO A34005 514 2 find find VB A34005 514 3 the the DT A34005 514 4 Hipotenusal Hipotenusal NNP A34005 514 5 . . . A34005 515 1 Given give VBN A34005 515 2 both both CC A34005 515 3 the the DT A34005 515 4 Sides side NNS A34005 515 5 . . . A34005 516 1 As as IN A34005 516 2 one one CD A34005 516 3 of of IN A34005 516 4 the the DT A34005 516 5 given give VBN A34005 516 6 Sides side NNS A34005 516 7 . . . A34005 517 1 To to IN A34005 517 2 the the DT A34005 517 3 other other JJ A34005 517 4 given give VBN A34005 517 5 Side side NN A34005 517 6 : : : A34005 517 7 So so RB A34005 517 8 is be VBZ A34005 517 9 the the DT A34005 517 10 Radius Radius NNP A34005 517 11 , , , A34005 517 12 To to IN A34005 517 13 the the DT A34005 517 14 Tangent Tangent NNP A34005 517 15 of of IN A34005 517 16 the the DT A34005 517 17 Angle Angle NNP A34005 517 18 opposite opposite IN A34005 517 19 to to IN A34005 517 20 the the DT A34005 517 21 other other JJ A34005 517 22 side side NN A34005 517 23 , , , A34005 517 24 Then then RB A34005 517 25 take take VB A34005 517 26 the the DT A34005 517 27 Complement Complement NNP A34005 517 28 of of IN A34005 517 29 the the DT A34005 517 30 Angle Angle NNP A34005 517 31 found find VBN A34005 517 32 for for IN A34005 517 33 the the DT A34005 517 34 other other JJ A34005 517 35 Angle Angle NNP A34005 517 36 . . . A34005 518 1 Then then RB A34005 518 2 , , , A34005 518 3 As as IN A34005 518 4 the the DT A34005 518 5 Sine Sine NNP A34005 518 6 of of IN A34005 518 7 the the DT A34005 518 8 Angle Angle NNP A34005 518 9 opposite opposite IN A34005 518 10 to to IN A34005 518 11 one one CD A34005 518 12 of of IN A34005 518 13 the the DT A34005 518 14 given give VBN A34005 518 15 Leggs Leggs NNP A34005 518 16 , , , A34005 518 17 or or CC A34005 518 18 Sides Sides NNP A34005 518 19 , , , A34005 518 20 Is be VBZ A34005 518 21 to to IN A34005 518 22 the the DT A34005 518 23 given give VBN A34005 518 24 Sides side NNS A34005 518 25 : : : A34005 518 26 So so RB A34005 518 27 is be VBZ A34005 518 28 the the DT A34005 518 29 Radius Radius NNP A34005 518 30 , , , A34005 518 31 To to IN A34005 518 32 the the DT A34005 518 33 Hipotenusal Hipotenusal NNP A34005 518 34 . . . A34005 519 1 6 6 CD A34005 519 2 . . . A34005 520 1 To to TO A34005 520 2 find find VB A34005 520 3 an an DT A34005 520 4 Angle angle NN A34005 520 5 . . . A34005 521 1 Given give VBN A34005 521 2 the the DT A34005 521 3 Hipotenusal Hipotenusal NNP A34005 521 4 , , , A34005 521 5 and and CC A34005 521 6 one one CD A34005 521 7 of of IN A34005 521 8 the the DT A34005 521 9 Sides Sides NNPS A34005 521 10 . . . A34005 522 1 As as IN A34005 522 2 the the DT A34005 522 3 Hipotenusal Hipotenusal NNP A34005 522 4 , , , A34005 522 5 Is be VBZ A34005 522 6 to to IN A34005 522 7 the the DT A34005 522 8 given give VBN A34005 522 9 Side side NN A34005 522 10 : : : A34005 522 11 So so RB A34005 522 12 is be VBZ A34005 522 13 the the DT A34005 522 14 Radius Radius NNP A34005 522 15 , , , A34005 522 16 To to IN A34005 522 17 the the DT A34005 522 18 Sine Sine NNP A34005 522 19 of of IN A34005 522 20 the the DT A34005 522 21 Angle Angle NNP A34005 522 22 opposite opposite IN A34005 522 23 to to IN A34005 522 24 the the DT A34005 522 25 given give VBN A34005 522 26 side side NN A34005 522 27 ; ; : A34005 522 28 The the DT A34005 522 29 Complement Complement NNP A34005 522 30 of of IN A34005 522 31 the the DT A34005 522 32 angle angle NN A34005 522 33 found find VBN A34005 522 34 , , , A34005 522 35 is be VBZ A34005 522 36 the the DT A34005 522 37 other other JJ A34005 522 38 Angle Angle NNP A34005 522 39 . . . A34005 523 1 7 7 LS A34005 523 2 . . . A34005 524 1 To to TO A34005 524 2 find find VB A34005 524 3 an an DT A34005 524 4 Angle angle NN A34005 524 5 . . . A34005 525 1 Given give VBN A34005 525 2 both both CC A34005 525 3 the the DT A34005 525 4 Sides side NNS A34005 525 5 . . . A34005 526 1 As as IN A34005 526 2 one one CD A34005 526 3 of of IN A34005 526 4 the the DT A34005 526 5 given give VBN A34005 526 6 sides side NNS A34005 526 7 , , , A34005 526 8 To to IN A34005 526 9 the the DT A34005 526 10 other other JJ A34005 526 11 given give VBN A34005 526 12 Side side NN A34005 526 13 : : : A34005 526 14 So so RB A34005 526 15 is be VBZ A34005 526 16 the the DT A34005 526 17 Radius Radius NNP A34005 526 18 , , , A34005 526 19 To to IN A34005 526 20 the the DT A34005 526 21 Tangent Tangent NNP A34005 526 22 of of IN A34005 526 23 the the DT A34005 526 24 angle angle NN A34005 526 25 opposite opposite RB A34005 526 26 to to IN A34005 526 27 this this DT A34005 526 28 other other JJ A34005 526 29 Side side NN A34005 526 30 . . . A34005 527 1 The the DT A34005 527 2 Complement Complement NNP A34005 527 3 of of IN A34005 527 4 the the DT A34005 527 5 angle angle NN A34005 527 6 found find VBN A34005 527 7 is be VBZ A34005 527 8 the the DT A34005 527 9 other other JJ A34005 527 10 Angle Angle NNP A34005 527 11 . . . A34005 528 1 Because because IN A34005 528 2 the the DT A34005 528 3 Sum Sum NNP A34005 528 4 of of IN A34005 528 5 the the DT A34005 528 6 Squares Squares NNPS A34005 528 7 of of IN A34005 528 8 the the DT A34005 528 9 Leggs Leggs NNP A34005 528 10 of of IN A34005 528 11 a a DT A34005 528 12 right right NN A34005 528 13 angled angle VBN A34005 528 14 Triangle Triangle NNP A34005 528 15 is be VBZ A34005 528 16 equal equal JJ A34005 528 17 to to IN A34005 528 18 the the DT A34005 528 19 Square Square NNP A34005 528 20 of of IN A34005 528 21 the the DT A34005 528 22 Hipotenusal Hipotenusal NNP A34005 528 23 by by IN A34005 528 24 47 47 CD A34005 528 25 1 1 CD A34005 528 26 Euclid Euclid NNP A34005 528 27 . . . A34005 529 1 Therefore therefore RB A34005 529 2 the the DT A34005 529 3 2d 2d JJ A34005 529 4 and and CC A34005 529 5 5th 5th NNP A34005 529 6 Case Case NNP A34005 529 7 may may MD A34005 529 8 be be VB A34005 529 9 otherwise otherwise RB A34005 529 10 performed perform VBN A34005 529 11 . . . A34005 530 1 2 2 LS A34005 530 2 . . . A34005 531 1 Case case NN A34005 531 2 , , , A34005 531 3 To to TO A34005 531 4 find find VB A34005 531 5 a a DT A34005 531 6 Side side NN A34005 531 7 or or CC A34005 531 8 Legg Legg NNP A34005 531 9 . . . A34005 532 1 Given give VBN A34005 532 2 the the DT A34005 532 3 Hipotenusal Hipotenusal NNP A34005 532 4 , , , A34005 532 5 and and CC A34005 532 6 other other JJ A34005 532 7 Legg Legg NNP A34005 532 8 . . . A34005 533 1 To to TO A34005 533 2 do do VB A34005 533 3 it -PRON- PRP A34005 533 4 by by IN A34005 533 5 Logarithmes logarithme NNS A34005 533 6 , , , A34005 533 7 Add add VB A34005 533 8 the the DT A34005 533 9 Logarithm Logarithm NNP A34005 533 10 of of IN A34005 533 11 the the DT A34005 533 12 Sum Sum NNP A34005 533 13 of of IN A34005 533 14 the the DT A34005 533 15 Hipotenusa Hipotenusa NNP A34005 533 16 and and CC A34005 533 17 Legg Legg NNP A34005 533 18 , , , A34005 533 19 to to IN A34005 533 20 the the DT A34005 533 21 Logarithm Logarithm NNP A34005 533 22 of of IN A34005 533 23 their -PRON- PRP$ A34005 533 24 difference difference NN A34005 533 25 , , , A34005 533 26 the the DT A34005 533 27 half half NN A34005 533 28 Sum Sum NNP A34005 533 29 is be VBZ A34005 533 30 the the DT A34005 533 31 Logarithm Logarithm NNP A34005 533 32 of of IN A34005 533 33 the the DT A34005 533 34 Side side NN A34005 533 35 sought seek VBD A34005 533 36 . . . A34005 534 1 Which which WDT A34005 534 2 in in IN A34005 534 3 natural natural JJ A34005 534 4 Numbers Numbers NNPS A34005 534 5 is be VBZ A34005 534 6 to to TO A34005 534 7 extract extract VB A34005 534 8 the the DT A34005 534 9 Square square JJ A34005 534 10 root root NN A34005 534 11 of of IN A34005 534 12 the the DT A34005 534 13 Product Product NNP A34005 534 14 of of IN A34005 534 15 the the DT A34005 534 16 Sum Sum NNP A34005 534 17 and and CC A34005 534 18 difference difference NN A34005 534 19 of of IN A34005 534 20 the the DT A34005 534 21 two two CD A34005 534 22 Numbers number NNS A34005 534 23 given give VBN A34005 534 24 , , , A34005 534 25 namely namely RB A34005 534 26 , , , A34005 534 27 the the DT A34005 534 28 Hipotenusal Hipotenusal NNP A34005 534 29 and and CC A34005 534 30 Legg Legg NNP A34005 534 31 , , , A34005 534 32 which which WDT A34005 534 33 said say VBD A34005 534 34 root root NN A34005 534 35 is be VBZ A34005 534 36 equal equal JJ A34005 534 37 to to IN A34005 534 38 the the DT A34005 534 39 side side NN A34005 534 40 sought seek VBN A34005 534 41 . . . A34005 535 1 5 5 CD A34005 535 2 . . . A34005 536 1 Case case NN A34005 536 2 , , , A34005 536 3 When when WRB A34005 536 4 both both CC A34005 536 5 the the DT A34005 536 6 Sides side NNS A34005 536 7 are be VBP A34005 536 8 given give VBN A34005 536 9 to to TO A34005 536 10 find find VB A34005 536 11 the the DT A34005 536 12 Hipotenusal Hipotenusal NNP A34005 536 13 . . . A34005 537 1 To to TO A34005 537 2 do do VB A34005 537 3 it -PRON- PRP A34005 537 4 by by IN A34005 537 5 Logarithmes logarithme NNS A34005 537 6 , , , A34005 537 7 Substract substract VB A34005 537 8 the the DT A34005 537 9 Logarithm Logarithm NNP A34005 537 10 of of IN A34005 537 11 the the DT A34005 537 12 lesser less JJR A34005 537 13 side side NN A34005 537 14 from from IN A34005 537 15 the the DT A34005 537 16 doubled doubled JJ A34005 537 17 Logarithm Logarithm NNP A34005 537 18 of of IN A34005 537 19 the the DT A34005 537 20 greater great JJR A34005 537 21 , , , A34005 537 22 and and CC A34005 537 23 to to IN A34005 537 24 the the DT A34005 537 25 absolute absolute JJ A34005 537 26 number number NN A34005 537 27 answering answer VBG A34005 537 28 to to IN A34005 537 29 the the DT A34005 537 30 remaining remain VBG A34005 537 31 Logarithm Logarithm NNP A34005 537 32 add add VBP A34005 537 33 the the DT A34005 537 34 lesser less JJR A34005 537 35 side side NN A34005 537 36 the the DT A34005 537 37 half half JJ A34005 537 38 sum sum NN A34005 537 39 of of IN A34005 537 40 the the DT A34005 537 41 Logarithmes logarithme NNS A34005 537 42 of of IN A34005 537 43 the the DT A34005 537 44 Sum Sum NNP A34005 537 45 thus thus RB A34005 537 46 composed compose VBD A34005 537 47 , , , A34005 537 48 and and CC A34005 537 49 of of IN A34005 537 50 the the DT A34005 537 51 lesser less JJR A34005 537 52 side side NN A34005 537 53 , , , A34005 537 54 is be VBZ A34005 537 55 the the DT A34005 537 56 Logarithm Logarithm NNP A34005 537 57 of of IN A34005 537 58 the the DT A34005 537 59 Hypotenusa Hypotenusa NNP A34005 537 60 sought seek VBD A34005 537 61 . . . A34005 538 1 Which which WDT A34005 538 2 work work NN A34005 538 3 was be VBD A34005 538 4 devised devise VBN A34005 538 5 , , , A34005 538 6 that that IN A34005 538 7 the the DT A34005 538 8 Proposition Proposition NNP A34005 538 9 might may MD A34005 538 10 be be VB A34005 538 11 performed perform VBN A34005 538 12 in in IN A34005 538 13 Logarithmes logarithme NNS A34005 538 14 ; ; : A34005 538 15 The the DT A34005 538 16 same same JJ A34005 538 17 Operation operation NN A34005 538 18 by by IN A34005 538 19 natural natural JJ A34005 538 20 numbers number NNS A34005 538 21 , , , A34005 538 22 would would MD A34005 538 23 be be VB A34005 538 24 to to TO A34005 538 25 Divide divide VB A34005 538 26 the the DT A34005 538 27 Square Square NNP A34005 538 28 of of IN A34005 538 29 the the DT A34005 538 30 greater great JJR A34005 538 31 of of IN A34005 538 32 the the DT A34005 538 33 Sides side NNS A34005 538 34 by by IN A34005 538 35 the the DT A34005 538 36 lesser less JJR A34005 538 37 , , , A34005 538 38 and and CC A34005 538 39 to to IN A34005 538 40 the the DT A34005 538 41 Quotient Quotient NNP A34005 538 42 to to TO A34005 538 43 add add VB A34005 538 44 the the DT A34005 538 45 lesser less JJR A34005 538 46 Side side NN A34005 538 47 , , , A34005 538 48 then then RB A34005 538 49 multiply multiply VB A34005 538 50 that that IN A34005 538 51 Sum Sum NNP A34005 538 52 by by IN A34005 538 53 the the DT A34005 538 54 lesser less JJR A34005 538 55 Side side NN A34005 538 56 , , , A34005 538 57 and and CC A34005 538 58 extract extract VB A34005 538 59 the the DT A34005 538 60 Square square JJ A34005 538 61 root root NN A34005 538 62 of of IN A34005 538 63 the the DT A34005 538 64 Product Product NNP A34005 538 65 for for IN A34005 538 66 the the DT A34005 538 67 Hipotenusal Hipotenusal NNP A34005 538 68 sought seek VBD A34005 538 69 . . . A34005 539 1 Cases case NNS A34005 539 2 of of IN A34005 539 3 Oblique Oblique NNP A34005 539 4 Plain Plain NNP A34005 539 5 Triangles Triangles NNPS A34005 539 6 . . . A34005 540 1 1 1 LS A34005 540 2 . . . A34005 541 1 Data datum NNS A34005 541 2 To to TO A34005 541 3 find find VB A34005 541 4 an an DT A34005 541 5 Angle Angle NNP A34005 541 6 , , , A34005 541 7 TWo two CD A34005 541 8 sides side NNS A34005 541 9 with with IN A34005 541 10 an an DT A34005 541 11 Angle Angle NNP A34005 541 12 opposite opposite NN A34005 541 13 to to IN A34005 541 14 one one CD A34005 541 15 of of IN A34005 541 16 them -PRON- PRP A34005 541 17 to to TO A34005 541 18 find find VB A34005 541 19 the the DT A34005 541 20 Angle Angle NNP A34005 541 21 Opposed oppose VBN A34005 541 22 to to IN A34005 541 23 the the DT A34005 541 24 other other JJ A34005 541 25 side side NN A34005 541 26 . . . A34005 542 1 As as IN A34005 542 2 one one CD A34005 542 3 of of IN A34005 542 4 the the DT A34005 542 5 Sides Sides NNPS A34005 542 6 , , , A34005 542 7 To to IN A34005 542 8 the the DT A34005 542 9 Sine Sine NNP A34005 542 10 of of IN A34005 542 11 its -PRON- PRP$ A34005 542 12 opposite opposite JJ A34005 542 13 Angle Angle NNP A34005 542 14 : : : A34005 542 15 So so CC A34005 542 16 the the DT A34005 542 17 other other JJ A34005 542 18 side side NN A34005 542 19 ; ; : A34005 542 20 to to IN A34005 542 21 the the DT A34005 542 22 Sine Sine NNP A34005 542 23 of of IN A34005 542 24 the the DT A34005 542 25 angle angle NN A34005 542 26 opposed oppose VBN A34005 542 27 thereto thereto NNP A34005 542 28 . . . A34005 543 1 If if IN A34005 543 2 the the DT A34005 543 3 Angle angle NN A34005 543 4 given give VBN A34005 543 5 be be VBP A34005 543 6 Obtuse Obtuse NNP A34005 543 7 , , , A34005 543 8 the the DT A34005 543 9 Side side NN A34005 543 10 opposite opposite RB A34005 543 11 to to IN A34005 543 12 it -PRON- PRP A34005 543 13 will will MD A34005 543 14 be be VB A34005 543 15 greater great JJR A34005 543 16 then then RB A34005 543 17 either either DT A34005 543 18 of of IN A34005 543 19 the the DT A34005 543 20 rest rest NN A34005 543 21 , , , A34005 543 22 and and CC A34005 543 23 the the DT A34005 543 24 other other JJ A34005 543 25 two two CD A34005 543 26 Angles angle NNS A34005 543 27 shall shall MD A34005 543 28 be be VB A34005 543 29 Acute acute JJ A34005 543 30 ; ; : A34005 543 31 But but CC A34005 543 32 if if IN A34005 543 33 the the DT A34005 543 34 given give VBN A34005 543 35 Angle Angle NNP A34005 543 36 be be VB A34005 543 37 Acute acute JJ A34005 543 38 , , , A34005 543 39 it -PRON- PRP A34005 543 40 will will MD A34005 543 41 be be VB A34005 543 42 doubtful doubtful JJ A34005 543 43 whether whether IN A34005 543 44 the the DT A34005 543 45 angle angle NN A34005 543 46 opposed oppose VBN A34005 543 47 to to IN A34005 543 48 the the DT A34005 543 49 greater great JJR A34005 543 50 side side NN A34005 543 51 be be VB A34005 543 52 Acute acute JJ A34005 543 53 or or CC A34005 543 54 Obtuse Obtuse NNP A34005 543 55 , , , A34005 543 56 yet yet CC A34005 543 57 a a DT A34005 543 58 true true JJ A34005 543 59 Sine Sine NNP A34005 543 60 of of IN A34005 543 61 the the DT A34005 543 62 4 4 CD A34005 543 63 ● ● SYM A34005 543 64 h h NN A34005 543 65 Proportional Proportional NNP A34005 543 66 . . . A34005 544 1 The the DT A34005 544 2 Sine Sine NNP A34005 544 3 found find VBD A34005 544 4 will will MD A34005 544 5 give give VB A34005 544 6 the the DT A34005 544 7 angle angle NN A34005 544 8 opposite opposite RB A34005 544 9 to to IN A34005 544 10 the the DT A34005 544 11 other other JJ A34005 544 12 given give VBN A34005 544 13 side side NN A34005 544 14 , , , A34005 544 15 if if IN A34005 544 16 it -PRON- PRP A34005 544 17 be be VB A34005 544 18 Acute acute JJ A34005 544 19 , , , A34005 544 20 and and CC A34005 544 21 it -PRON- PRP A34005 544 22 will will MD A34005 544 23 always always RB A34005 544 24 be be VB A34005 544 25 Acute acute JJ A34005 544 26 when when WRB A34005 544 27 the the DT A34005 544 28 given give VBN A34005 544 29 angle angle NN A34005 544 30 is be VBZ A34005 544 31 Obtuse Obtuse NNP A34005 544 32 , , , A34005 544 33 But but CC A34005 544 34 if if IN A34005 544 35 it -PRON- PRP A34005 544 36 be be VB A34005 544 37 fore fore RB A34005 544 38 known know VBN A34005 544 39 to to TO A34005 544 40 be be VB A34005 544 41 Obtuse Obtuse NNP A34005 544 42 , , , A34005 544 43 the the DT A34005 544 44 Arch Arch NNP A34005 544 45 of of IN A34005 544 46 the the DT A34005 544 47 Sine Sine NNP A34005 544 48 found find VBN A34005 544 49 substract substract NN A34005 544 50 from from IN A34005 544 51 a a DT A34005 544 52 Semicircle Semicircle NNP A34005 544 53 , , , A34005 544 54 and and CC A34005 544 55 there there EX A34005 544 56 will will MD A34005 544 57 remain remain VB A34005 544 58 the the DT A34005 544 59 Angle Angle NNP A34005 544 60 sought seek VBN A34005 544 61 . . . A34005 545 1 In in IN A34005 545 2 this this DT A34005 545 3 Case case NN A34005 545 4 the the DT A34005 545 5 quality quality NN A34005 545 6 or or CC A34005 545 7 affection affection NN A34005 545 8 of of IN A34005 545 9 the the DT A34005 545 10 angle angle NN A34005 545 11 sought seek VBN A34005 545 12 must must MD A34005 545 13 be be VB A34005 545 14 given give VBN A34005 545 15 , , , A34005 545 16 and and CC A34005 545 17 fore fore RB A34005 545 18 - - HYPH A34005 545 19 known know VBN A34005 545 20 , , , A34005 545 21 for for IN A34005 545 22 otherwise otherwise RB A34005 545 23 it -PRON- PRP A34005 545 24 is be VBZ A34005 545 25 impossible impossible JJ A34005 545 26 to to TO A34005 545 27 give give VB A34005 545 28 any any DT A34005 545 29 other other JJ A34005 545 30 then then RB A34005 545 31 a a DT A34005 545 32 double double JJ A34005 545 33 answer answer NN A34005 545 34 , , , A34005 545 35 the the DT A34005 545 36 Acute acute JJ A34005 545 37 angle angle NN A34005 545 38 found find VBD A34005 545 39 , , , A34005 545 40 or or CC A34005 545 41 its -PRON- PRP$ A34005 545 42 Complement Complement NNP A34005 545 43 to to IN A34005 545 44 180d 180d NNPS A34005 545 45 , , , A34005 545 46 yet yet CC A34005 545 47 some some DT A34005 545 48 in in IN A34005 545 49 this this DT A34005 545 50 Case Case NNP A34005 545 51 have have VBP A34005 545 52 prescribed prescribe VBN A34005 545 53 Rules rule NNS A34005 545 54 to to TO A34005 545 55 know know VB A34005 545 56 it -PRON- PRP A34005 545 57 , , , A34005 545 58 supposing suppose VBG A34005 545 59 the the DT A34005 545 60 third third JJ A34005 545 61 Side side NN A34005 545 62 given give VBN A34005 545 63 which which WDT A34005 545 64 is be VBZ A34005 545 65 not not RB A34005 545 66 , , , A34005 545 67 if if IN A34005 545 68 it -PRON- PRP A34005 545 69 were be VBD A34005 545 70 then then RB A34005 545 71 in in IN A34005 545 72 any any DT A34005 545 73 Plain Plain NNP A34005 545 74 Triangle Triangle NNP A34005 545 75 it -PRON- PRP A34005 545 76 would would MD A34005 545 77 hold hold VB A34005 545 78 , , , A34005 545 79 That that IN A34005 545 80 if if IN A34005 545 81 the the DT A34005 545 82 Square Square NNP A34005 545 83 of of IN A34005 545 84 any any DT A34005 545 85 Side side NN A34005 545 86 be be VB A34005 545 87 equal equal JJ A34005 545 88 to to IN A34005 545 89 the the DT A34005 545 90 Sum Sum NNP A34005 545 91 of of IN A34005 545 92 the the DT A34005 545 93 Squares Squares NNPS A34005 545 94 of of IN A34005 545 95 the the DT A34005 545 96 other other JJ A34005 545 97 two two CD A34005 545 98 Sides Sides NNPS A34005 545 99 , , , A34005 545 100 the the DT A34005 545 101 angle angle NN A34005 545 102 it -PRON- PRP A34005 545 103 subtends subtend VBZ A34005 545 104 is be VBZ A34005 545 105 a a DT A34005 545 106 right right JJ A34005 545 107 angle angle NN A34005 545 108 , , , A34005 545 109 if if IN A34005 545 110 less less RBR A34005 545 111 Acute acute JJ A34005 545 112 , , , A34005 545 113 if if IN A34005 545 114 greater great JJR A34005 545 115 Obtuse Obtuse NNP A34005 545 116 ; ; : A34005 545 117 but but CC A34005 545 118 if if IN A34005 545 119 three three CD A34005 545 120 Sides side NNS A34005 545 121 are be VBP A34005 545 122 given give VBN A34005 545 123 we -PRON- PRP A34005 545 124 may may MD A34005 545 125 with with IN A34005 545 126 as as RB A34005 545 127 little little JJ A34005 545 128 trouble trouble NN A34005 545 129 by by IN A34005 545 130 following follow VBG A34005 545 131 Proportions Proportions NNPS A34005 545 132 come come VBN A34005 545 133 by by IN A34005 545 134 the the DT A34005 545 135 quantity quantity NN A34005 545 136 of of IN A34005 545 137 any any DT A34005 545 138 angle angle NN A34005 545 139 , , , A34005 545 140 as as IN A34005 545 141 by by IN A34005 545 142 this this DT A34005 545 143 Rule Rule NNP A34005 545 144 to to TO A34005 545 145 know know VB A34005 545 146 the the DT A34005 545 147 affection affection NN A34005 545 148 of of IN A34005 545 149 it -PRON- PRP A34005 545 150 . . . A34005 546 1 Two two CD A34005 546 2 Sides side NNS A34005 546 3 with with IN A34005 546 4 an an DT A34005 546 5 Angle angle NN A34005 546 6 opposite opposite NN A34005 546 7 to to IN A34005 546 8 one one CD A34005 546 9 of of IN A34005 546 10 them -PRON- PRP A34005 546 11 , , , A34005 546 12 to to TO A34005 546 13 find find VB A34005 546 14 the the DT A34005 546 15 third third JJ A34005 546 16 Side side NN A34005 546 17 . . . A34005 547 1 In in IN A34005 547 2 this this DT A34005 547 3 Case Case NNP A34005 547 4 as as IN A34005 547 5 in in IN A34005 547 6 the the DT A34005 547 7 former former JJ A34005 547 8 , , , A34005 547 9 the the DT A34005 547 10 affection affection NN A34005 547 11 of of IN A34005 547 12 the the DT A34005 547 13 angle angle NN A34005 547 14 opposite opposite RB A34005 547 15 to to IN A34005 547 16 the the DT A34005 547 17 other other JJ A34005 547 18 given give VBN A34005 547 19 side side NN A34005 547 20 , , , A34005 547 21 must must MD A34005 547 22 be be VB A34005 547 23 fore fore RB A34005 547 24 - - HYPH A34005 547 25 known know VBN A34005 547 26 , , , A34005 547 27 or or CC A34005 547 28 else else RB A34005 547 29 the the DT A34005 547 30 answer answer NN A34005 547 31 may may MD A34005 547 32 be be VB A34005 547 33 double double JJ A34005 547 34 or or CC A34005 547 35 doubtful doubtful JJ A34005 547 36 . . . A34005 548 1 In in IN A34005 548 2 the the DT A34005 548 3 Triangle Triangle NNP A34005 548 4 annexed annex VBD A34005 548 5 there there RB A34005 548 6 is be VBZ A34005 548 7 given give VBN A34005 548 8 the the DT A34005 548 9 sides side NNS A34005 548 10 A A NNP A34005 548 11 B B NNP A34005 548 12 and and CC A34005 548 13 A a DT A34005 548 14 C c NN A34005 548 15 with with IN A34005 548 16 the the DT A34005 548 17 angle angle NN A34005 548 18 A a DT A34005 548 19 B B NNP A34005 548 20 C C NNP A34005 548 21 to to TO A34005 548 22 find find VB A34005 548 23 the the DT A34005 548 24 angle angle NN A34005 548 25 opposite opposite RB A34005 548 26 to to IN A34005 548 27 the the DT A34005 548 28 other other JJ A34005 548 29 given give VBN A34005 548 30 side side NN A34005 548 31 , , , A34005 548 32 which which WDT A34005 548 33 may may MD A34005 548 34 be be VB A34005 548 35 either either CC A34005 548 36 the the DT A34005 548 37 angle angle NN A34005 548 38 at at IN A34005 548 39 C C NNP A34005 548 40 or or CC A34005 548 41 D D NNP A34005 548 42 , , , A34005 548 43 and and CC A34005 548 44 the the DT A34005 548 45 third third JJ A34005 548 46 side side NN A34005 548 47 , , , A34005 548 48 which which WDT A34005 548 49 may may MD A34005 548 50 be be VB A34005 548 51 either either CC A34005 548 52 B B NNP A34005 548 53 C c NN A34005 548 54 , , , A34005 548 55 or or CC A34005 548 56 B b NN A34005 548 57 D D NNP A34005 548 58 , , , A34005 548 59 the the DT A34005 548 60 reason reason NN A34005 548 61 hereof hereof NN A34005 548 62 is be VBZ A34005 548 63 because because IN A34005 548 64 two two CD A34005 548 65 of of IN A34005 548 66 the the DT A34005 548 67 given give VBN A34005 548 68 tearms tearm VBZ A34005 548 69 the the DT A34005 548 70 Side Side NNP A34005 548 71 A A NNP A34005 548 72 B B NNP A34005 548 73 , , , A34005 548 74 and and CC A34005 548 75 the the DT A34005 548 76 angle angle NN A34005 548 77 at at IN A34005 548 78 B b NN A34005 548 79 remain remain VBP A34005 548 80 the the DT A34005 548 81 same same JJ A34005 548 82 in in IN A34005 548 83 both both DT A34005 548 84 Triangles Triangles NNPS A34005 548 85 , , , A34005 548 86 and and CC A34005 548 87 the the DT A34005 548 88 other other JJ A34005 548 89 given give VBN A34005 548 90 side side NN A34005 548 91 may may MD A34005 548 92 be be VB A34005 548 93 either either CC A34005 548 94 A a NN A34005 548 95 C c NN A34005 548 96 or or CC A34005 548 97 A a NN A34005 548 98 D d NN A34005 548 99 equal equal JJ A34005 548 100 to to IN A34005 548 101 it -PRON- PRP A34005 548 102 , , , A34005 548 103 the the DT A34005 548 104 one one NN A34005 548 105 falling fall VBG A34005 548 106 as as RB A34005 548 107 much much JJ A34005 548 108 without without IN A34005 548 109 as as IN A34005 548 110 the the DT A34005 548 111 other other JJ A34005 548 112 doth doth NN A34005 548 113 within within IN A34005 548 114 the the DT A34005 548 115 Perpendicular Perpendicular NNP A34005 548 116 A A NNP A34005 548 117 E. E. NNP A34005 548 118 The the DT A34005 548 119 quality quality NN A34005 548 120 of of IN A34005 548 121 the the DT A34005 548 122 angle angle NN A34005 548 123 opposite opposite RB A34005 548 124 to to IN A34005 548 125 the the DT A34005 548 126 other other JJ A34005 548 127 given give VBN A34005 548 128 side side NN A34005 548 129 being be VBG A34005 548 130 known know VBN A34005 548 131 ; ; : A34005 548 132 by by IN A34005 548 133 the the DT A34005 548 134 former former JJ A34005 548 135 Case Case NNP A34005 548 136 get get VB A34005 548 137 the the DT A34005 548 138 quantity quantity NN A34005 548 139 , , , A34005 548 140 and and CC A34005 548 141 then then RB A34005 548 142 having have VBG A34005 548 143 two two CD A34005 548 144 angles angle NNS A34005 548 145 the the DT A34005 548 146 Complement Complement NNP A34005 548 147 of of IN A34005 548 148 their -PRON- PRP$ A34005 548 149 Sum Sum NNP A34005 548 150 to to IN A34005 548 151 180d 180d NNPS A34005 548 152 is be VBZ A34005 548 153 equal equal JJ A34005 548 154 to to IN A34005 548 155 the the DT A34005 548 156 third third JJ A34005 548 157 angle angle NN A34005 548 158 , , , A34005 548 159 the the DT A34005 548 160 Case Case NNP A34005 548 161 will will MD A34005 548 162 be be VB A34005 548 163 to to TO A34005 548 164 find find VB A34005 548 165 the the DT A34005 548 166 said say VBN A34005 548 167 side side NN A34005 548 168 , , , A34005 548 169 by by IN A34005 548 170 having have VBG A34005 548 171 choice choice NN A34005 548 172 of of IN A34005 548 173 the the DT A34005 548 174 other other JJ A34005 548 175 sides side NNS A34005 548 176 , , , A34005 548 177 and and CC A34005 548 178 their -PRON- PRP$ A34005 548 179 opposite opposite JJ A34005 548 180 angles angle NNS A34005 548 181 as as IN A34005 548 182 follows follow VBZ A34005 548 183 . . . A34005 549 1 2 2 LS A34005 549 2 . . . A34005 550 1 Two two CD A34005 550 2 Angles angle NNS A34005 550 3 with with IN A34005 550 4 a a DT A34005 550 5 Side side NN A34005 550 6 opposite opposite NN A34005 550 7 to to IN A34005 550 8 one one CD A34005 550 9 of of IN A34005 550 10 them -PRON- PRP A34005 550 11 given give VBN A34005 550 12 to to TO A34005 550 13 find find VB A34005 550 14 the the DT A34005 550 15 Side side NN A34005 550 16 opposite opposite RB A34005 550 17 to to IN A34005 550 18 the the DT A34005 550 19 other other JJ A34005 550 20 . . . A34005 551 1 As as IN A34005 551 2 the the DT A34005 551 3 Sine Sine NNP A34005 551 4 of of IN A34005 551 5 the the DT A34005 551 6 angle angle NN A34005 551 7 opposed oppose VBN A34005 551 8 to to IN A34005 551 9 the the DT A34005 551 10 given give VBN A34005 551 11 Side side NN A34005 551 12 , , , A34005 551 13 Is be VBZ A34005 551 14 to to IN A34005 551 15 the the DT A34005 551 16 given give VBN A34005 551 17 Side side NN A34005 551 18 ; ; : A34005 551 19 So so RB A34005 551 20 is be VBZ A34005 551 21 the the DT A34005 551 22 Sine Sine NNP A34005 551 23 of of IN A34005 551 24 the the DT A34005 551 25 angle angle NN A34005 551 26 opposite opposite IN A34005 551 27 to to IN A34005 551 28 the the DT A34005 551 29 side side NN A34005 551 30 sought seek VBD A34005 551 31 ▪ ▪ NN A34005 551 32 To to IN A34005 551 33 the the DT A34005 551 34 side side NN A34005 551 35 sought seek VBN A34005 551 36 . . . A34005 552 1 Ricciolus ricciolus NN A34005 552 2 in in IN A34005 552 3 the the DT A34005 552 4 Trigonomerical trigonomerical JJ A34005 552 5 part part NN A34005 552 6 of of IN A34005 552 7 his -PRON- PRP$ A34005 552 8 late late JJ A34005 552 9 Almagestum Almagestum NNP A34005 552 10 Novum Novum NNP A34005 552 11 , , , A34005 552 12 suggests suggest VBZ A34005 552 13 in in IN A34005 552 14 the the DT A34005 552 15 resolution resolution NN A34005 552 16 of of IN A34005 552 17 this this DT A34005 552 18 Case Case NNP A34005 552 19 , , , A34005 552 20 that that IN A34005 552 21 if if IN A34005 552 22 the the DT A34005 552 23 side side NN A34005 552 24 opposite opposite RB A34005 552 25 to to IN A34005 552 26 the the DT A34005 552 27 Obtuse Obtuse NNP A34005 552 28 angle angle NN A34005 552 29 be be VB A34005 552 30 sought seek VBN A34005 552 31 , , , A34005 552 32 it -PRON- PRP A34005 552 33 can can MD A34005 552 34 not not RB A34005 552 35 be be VB A34005 552 36 found find VBN A34005 552 37 under under IN A34005 552 38 three three CD A34005 552 39 Operations Operations NNPS A34005 552 40 ; ; : A34005 552 41 as as IN A34005 552 42 first first RB A34005 552 43 to to TO A34005 552 44 get get VB A34005 552 45 the the DT A34005 552 46 quantity quantity NN A34005 552 47 of of IN A34005 552 48 the the DT A34005 552 49 Perpendicular Perpendicular NNP A34005 552 50 falling fall VBG A34005 552 51 from from IN A34005 552 52 the the DT A34005 552 53 Obtuse Obtuse NNP A34005 552 54 angle angle NN A34005 552 55 on on IN A34005 552 56 its -PRON- PRP$ A34005 552 57 Opposite opposite JJ A34005 552 58 side side NN A34005 552 59 , , , A34005 552 60 and and CC A34005 552 61 then then RB A34005 552 62 the the DT A34005 552 63 quantity quantity NN A34005 552 64 of of IN A34005 552 65 the the DT A34005 552 66 two two CD A34005 552 67 Segments Segments NNPS A34005 552 68 of of IN A34005 552 69 the the DT A34005 552 70 side side NN A34005 552 71 , , , A34005 552 72 on on IN A34005 552 73 which which WDT A34005 552 74 it -PRON- PRP A34005 552 75 falleth falleth VBD A34005 552 76 , , , A34005 552 77 and and CC A34005 552 78 so so RB A34005 552 79 add add VB A34005 552 80 them -PRON- PRP A34005 552 81 together together RB A34005 552 82 to to TO A34005 552 83 obtain obtain VB A34005 552 84 the the DT A34005 552 85 side side NN A34005 552 86 sought seek VBN A34005 552 87 ; ; : A34005 552 88 But but CC A34005 552 89 this this DT A34005 552 90 is be VBZ A34005 552 91 a a DT A34005 552 92 mistake mistake NN A34005 552 93 , , , A34005 552 94 and and CC A34005 552 95 if if IN A34005 552 96 it -PRON- PRP A34005 552 97 were be VBD A34005 552 98 true true JJ A34005 552 99 by by IN A34005 552 100 the the DT A34005 552 101 like like JJ A34005 552 102 reason reason NN A34005 552 103 a a DT A34005 552 104 side side NN A34005 552 105 opposite opposite RB A34005 552 106 to to IN A34005 552 107 an an DT A34005 552 108 Acute acute JJ A34005 552 109 angle angle NN A34005 552 110 , , , A34005 552 111 could could MD A34005 552 112 not not RB A34005 552 113 be be VB A34005 552 114 found find VBN A34005 552 115 without without IN A34005 552 116 the the DT A34005 552 117 like like JJ A34005 552 118 trouble trouble NN A34005 552 119 ; ; : A34005 552 120 for for IN A34005 552 121 in in IN A34005 552 122 the the DT A34005 552 123 Triangle Triangle NNP A34005 552 124 above above RB A34005 552 125 , , , A34005 552 126 As as IN A34005 552 127 the the DT A34005 552 128 Sine Sine NNP A34005 552 129 of of IN A34005 552 130 the the DT A34005 552 131 angle angle NN A34005 552 132 at at IN A34005 552 133 B b NN A34005 552 134 Is be VBZ A34005 552 135 to to IN A34005 552 136 its -PRON- PRP$ A34005 552 137 Opposite opposite JJ A34005 552 138 side side NN A34005 552 139 A a DT A34005 552 140 C c NN A34005 552 141 or or CC A34005 552 142 A a NN A34005 552 143 D d NN A34005 552 144 , , , A34005 552 145 So so RB A34005 552 146 is be VBZ A34005 552 147 the the DT A34005 552 148 Sine Sine NNP A34005 552 149 of of IN A34005 552 150 the the DT A34005 552 151 angle angle NN A34005 552 152 B B NNP A34005 552 153 C C NNP A34005 552 154 A A NNP A34005 552 155 , , , A34005 552 156 or or CC A34005 552 157 B b NN A34005 552 158 D d NN A34005 552 159 A A NNP A34005 552 160 , , , A34005 552 161 To to IN A34005 552 162 its -PRON- PRP$ A34005 552 163 opposite opposite JJ A34005 552 164 Side side NN A34005 552 165 B B NNP A34005 552 166 A A NNP A34005 552 167 , , , A34005 552 168 where where WRB A34005 552 169 the the DT A34005 552 170 Reader Reader NNP A34005 552 171 may may MD A34005 552 172 perceive perceive VB A34005 552 173 that that IN A34005 552 174 the the DT A34005 552 175 same same JJ A34005 552 176 side side NN A34005 552 177 hath hath NN A34005 552 178 opposite opposite RB A34005 552 179 to to IN A34005 552 180 it -PRON- PRP A34005 552 181 both both CC A34005 552 182 an an DT A34005 552 183 Acute acute JJ A34005 552 184 and and CC A34005 552 185 an an DT A34005 552 186 Obtuse Obtuse NNP A34005 552 187 angle angle NN A34005 552 188 , , , A34005 552 189 the the DT A34005 552 190 one one NN A34005 552 191 the the DT A34005 552 192 Complement Complement NNP A34005 552 193 of of IN A34005 552 194 the the DT A34005 552 195 other other JJ A34005 552 196 to to IN A34005 552 197 180d 180d NNPS A34005 552 198 , , , A34005 552 199 the the DT A34005 552 200 same same JJ A34005 552 201 Sine Sine NNP A34005 552 202 being be VBG A34005 552 203 common common JJ A34005 552 204 to to IN A34005 552 205 both both DT A34005 552 206 , , , A34005 552 207 for for IN A34005 552 208 the the DT A34005 552 209 Acute acute JJ A34005 552 210 angle angle NN A34005 552 211 A a NN A34005 552 212 C c NN A34005 552 213 E e NN A34005 552 214 is be VBZ A34005 552 215 the the DT A34005 552 216 Complement Complement NNP A34005 552 217 of of IN A34005 552 218 the the DT A34005 552 219 Obtuse Obtuse NNP A34005 552 220 angle angle NN A34005 552 221 B b NN A34005 552 222 C c NN A34005 552 223 A a NN A34005 552 224 ; ; : A34005 552 225 but but CC A34005 552 226 the the DT A34005 552 227 angle angle NN A34005 552 228 at at IN A34005 552 229 C C NNP A34005 552 230 is be VBZ A34005 552 231 equal equal JJ A34005 552 232 to to IN A34005 552 233 the the DT A34005 552 234 angle angle NN A34005 552 235 at at IN A34005 552 236 D d NN A34005 552 237 being be VBG A34005 552 238 subtended subtend VBN A34005 552 239 by by IN A34005 552 240 equal equal JJ A34005 552 241 Sides side NNS A34005 552 242 , , , A34005 552 243 and and CC A34005 552 244 the the DT A34005 552 245 Proportion proportion NN A34005 552 246 of of IN A34005 552 247 the the DT A34005 552 248 Sines Sines NNPS A34005 552 249 of of IN A34005 552 250 Angles Angles NNPS A34005 552 251 to to IN A34005 552 252 their -PRON- PRP$ A34005 552 253 opposite opposite JJ A34005 552 254 Sides Sides NNPS A34005 552 255 is be VBZ A34005 552 256 already already RB A34005 552 257 demonstrated demonstrate VBN A34005 552 258 in in IN A34005 552 259 every every DT A34005 552 260 Book Book NNP A34005 552 261 of of IN A34005 552 262 Trigonometry Trigonometry NNP A34005 552 263 . . . A34005 553 1 3 3 LS A34005 553 2 . . . A34005 554 1 Two two CD A34005 554 2 Sides side NNS A34005 554 3 with with IN A34005 554 4 the the DT A34005 554 5 angle angle NN A34005 554 6 comprehended comprehend VBN A34005 554 7 to to TO A34005 554 8 find find VB A34005 554 9 either either DT A34005 554 10 of of IN A34005 554 11 the the DT A34005 554 12 other other JJ A34005 554 13 Angles angle NNS A34005 554 14 . . . A34005 555 1 Substract substract VB A34005 555 2 the the DT A34005 555 3 angle angle NN A34005 555 4 given give VBN A34005 555 5 from from IN A34005 555 6 180d 180d NNPS A34005 555 7 , , , A34005 555 8 and and CC A34005 555 9 there there EX A34005 555 10 remains remain VBZ A34005 555 11 the the DT A34005 555 12 Sum Sum NNP A34005 555 13 of of IN A34005 555 14 the the DT A34005 555 15 two two CD A34005 555 16 other other JJ A34005 555 17 Angles Angles NNPS A34005 555 18 , , , A34005 555 19 then then RB A34005 555 20 As as IN A34005 555 21 the the DT A34005 555 22 Sum Sum NNP A34005 555 23 of of IN A34005 555 24 the the DT A34005 555 25 Sides side NNS A34005 555 26 given give VBN A34005 555 27 , , , A34005 555 28 To to IN A34005 555 29 tangent tangent NN A34005 555 30 of of IN A34005 555 31 the the DT A34005 555 32 half half JJ A34005 555 33 sum sum NN A34005 555 34 of of IN A34005 555 35 the the DT A34005 555 36 unknown unknown JJ A34005 555 37 Angles angle NNS A34005 555 38 : : : A34005 555 39 So so RB A34005 555 40 is be VBZ A34005 555 41 the the DT A34005 555 42 difference difference NN A34005 555 43 of of IN A34005 555 44 the the DT A34005 555 45 said say VBN A34005 555 46 Sides side NNS A34005 555 47 , , , A34005 555 48 To to IN A34005 555 49 Tangent tangent NN A34005 555 50 of of IN A34005 555 51 half half PDT A34005 555 52 the the DT A34005 555 53 difference difference NN A34005 555 54 of of IN A34005 555 55 the the DT A34005 555 56 unknown unknown JJ A34005 555 57 Angles Angles NNP A34005 555 58 . . . A34005 556 1 If if IN A34005 556 2 this this DT A34005 556 3 half half JJ A34005 556 4 difference difference NN A34005 556 5 be be VB A34005 556 6 added add VBN A34005 556 7 to to IN A34005 556 8 half half JJ A34005 556 9 sum sum NN A34005 556 10 of of IN A34005 556 11 the the DT A34005 556 12 angles angle NNS A34005 556 13 , , , A34005 556 14 it -PRON- PRP A34005 556 15 makes make VBZ A34005 556 16 the the DT A34005 556 17 greater great JJR A34005 556 18 , , , A34005 556 19 if if IN A34005 556 20 substracted substracte VBN A34005 556 21 from from IN A34005 556 22 it -PRON- PRP A34005 556 23 , , , A34005 556 24 it -PRON- PRP A34005 556 25 leaves leave VBZ A34005 556 26 the the DT A34005 556 27 lesser less JJR A34005 556 28 Angle Angle NNP A34005 556 29 4 4 CD A34005 556 30 . . . A34005 557 1 Two two CD A34005 557 2 Sides side NNS A34005 557 3 with with IN A34005 557 4 the the DT A34005 557 5 Angle Angle NNP A34005 557 6 comprehended comprehend VBD A34005 557 7 , , , A34005 557 8 to to TO A34005 557 9 find find VB A34005 557 10 the the DT A34005 557 11 third third JJ A34005 557 12 side side NN A34005 557 13 . . . A34005 558 1 By by IN A34005 558 2 the the DT A34005 558 3 former former JJ A34005 558 4 Proposition Proposition NNP A34005 558 5 one one CD A34005 558 6 of of IN A34005 558 7 the the DT A34005 558 8 Angles Angles NNPS A34005 558 9 must must MD A34005 558 10 be be VB A34005 558 11 found find VBN A34005 558 12 , , , A34005 558 13 and and CC A34005 558 14 then then RB A34005 558 15 As as IN A34005 558 16 the the DT A34005 558 17 Sine Sine NNP A34005 558 18 of of IN A34005 558 19 the the DT A34005 558 20 angle angle NN A34005 558 21 found find VBN A34005 558 22 , , , A34005 558 23 is be VBZ A34005 558 24 to to IN A34005 558 25 its -PRON- PRP$ A34005 558 26 Opposite opposite JJ A34005 558 27 side side NN A34005 558 28 : : : A34005 558 29 So so RB A34005 558 30 is be VBZ A34005 558 31 the the DT A34005 558 32 Sine Sine NNP A34005 558 33 of of IN A34005 558 34 the the DT A34005 558 35 angle angle NN A34005 558 36 given give VBN A34005 558 37 , , , A34005 558 38 To to IN A34005 558 39 the the DT A34005 558 40 Side side NN A34005 558 41 opposed oppose VBN A34005 558 42 thereto thereto NN A34005 558 43 , , , A34005 558 44 If if IN A34005 558 45 two two CD A34005 558 46 angles angle NNS A34005 558 47 with with IN A34005 558 48 a a DT A34005 558 49 Side side NN A34005 558 50 opposite opposite NN A34005 558 51 to to IN A34005 558 52 one one CD A34005 558 53 of of IN A34005 558 54 them -PRON- PRP A34005 558 55 be be VB A34005 558 56 given give VBN A34005 558 57 , , , A34005 558 58 to to TO A34005 558 59 find find VB A34005 558 60 the the DT A34005 558 61 side side NN A34005 558 62 opposite opposite RB A34005 558 63 to to IN A34005 558 64 the the DT A34005 558 65 third third JJ A34005 558 66 Angle Angle NNP A34005 558 67 is be VBZ A34005 558 68 no no DT A34005 558 69 different different JJ A34005 558 70 Case case NN A34005 558 71 from from IN A34005 558 72 the the DT A34005 558 73 former former JJ A34005 558 74 , , , A34005 558 75 because because IN A34005 558 76 the the DT A34005 558 77 third third JJ A34005 558 78 angle angle NN A34005 558 79 is be VBZ A34005 558 80 by by IN A34005 558 81 consequence consequence NNP A34005 558 82 given give VBN A34005 558 83 , , , A34005 558 84 being be VBG A34005 558 85 the the DT A34005 558 86 Complement Complement NNP A34005 558 87 of of IN A34005 558 88 the the DT A34005 558 89 two two CD A34005 558 90 given give VBN A34005 558 91 angles angle NNS A34005 558 92 to to IN A34005 558 93 180d 180d NNPS A34005 558 94 , , , A34005 558 95 and and CC A34005 558 96 the the DT A34005 558 97 like like JJ A34005 558 98 if if IN A34005 558 99 two two CD A34005 558 100 angles angle NNS A34005 558 101 with with IN A34005 558 102 the the DT A34005 558 103 side side NN A34005 558 104 between between IN A34005 558 105 them -PRON- PRP A34005 558 106 were be VBD A34005 558 107 given give VBN A34005 558 108 . . . A34005 559 1 5 5 CD A34005 559 2 . . . A34005 560 1 Three three CD A34005 560 2 Sides side NNS A34005 560 3 to to TO A34005 560 4 find find VB A34005 560 5 an an DT A34005 560 6 Angle angle NN A34005 560 7 . . . A34005 561 1 The the DT A34005 561 2 Side side NN A34005 561 3 subtending subtend VBG A34005 561 4 the the DT A34005 561 5 Angle Angle NNP A34005 561 6 sought seek VBN A34005 561 7 is be VBZ A34005 561 8 called call VBN A34005 561 9 the the DT A34005 561 10 Base Base NNP A34005 561 11 . . . A34005 562 1 As as IN A34005 562 2 the the DT A34005 562 3 Rectangle Rectangle NNP A34005 562 4 or or CC A34005 562 5 Product Product NNP A34005 562 6 of of IN A34005 562 7 the the DT A34005 562 8 half half NN A34005 562 9 Sum Sum NNP A34005 562 10 of of IN A34005 562 11 the the DT A34005 562 12 three three CD A34005 562 13 sides side NNS A34005 562 14 , , , A34005 562 15 and and CC A34005 562 16 of of IN A34005 562 17 the the DT A34005 562 18 difference difference NN A34005 562 19 of of IN A34005 562 20 the the DT A34005 562 21 Base Base NNP A34005 562 22 therefrom therefrom NN A34005 562 23 , , , A34005 562 24 Is be VBZ A34005 562 25 to to IN A34005 562 26 the the DT A34005 562 27 Square Square NNP A34005 562 28 of of IN A34005 562 29 the the DT A34005 562 30 Radius radius NN A34005 562 31 : : : A34005 562 32 So so RB A34005 562 33 is be VBZ A34005 562 34 the the DT A34005 562 35 Rectangle Rectangle NNP A34005 562 36 of of IN A34005 562 37 the the DT A34005 562 38 difference difference NN A34005 562 39 of of IN A34005 562 40 the the DT A34005 562 41 Leggs Leggs NNP A34005 562 42 , , , A34005 562 43 or or CC A34005 562 44 conteining conteine VBG A34005 562 45 Sides Sides NNP A34005 562 46 therefrom therefrom JJ A34005 562 47 , , , A34005 562 48 to to IN A34005 562 49 the the DT A34005 562 50 Square Square NNP A34005 562 51 of of IN A34005 562 52 the the DT A34005 562 53 Tangent Tangent NNP A34005 562 54 , , , A34005 562 55 to to IN A34005 562 56 half half PDT A34005 562 57 the the DT A34005 562 58 Angle Angle NNP A34005 562 59 sought seek VBN A34005 562 60 . . . A34005 563 1 And and CC A34005 563 2 by by IN A34005 563 3 changing change VBG A34005 563 4 the the DT A34005 563 5 third third JJ A34005 563 6 tearm tearm NN A34005 563 7 into into IN A34005 563 8 the the DT A34005 563 9 place place NN A34005 563 10 of of IN A34005 563 11 the the DT A34005 563 12 first first JJ A34005 563 13 . . . A34005 564 1 As as IN A34005 564 2 the the DT A34005 564 3 Rectangle Rectangle NNP A34005 564 4 of of IN A34005 564 5 the the DT A34005 564 6 Differences difference NNS A34005 564 7 of of IN A34005 564 8 the the DT A34005 564 9 Leggs Leggs NNP A34005 564 10 from from IN A34005 564 11 the the DT A34005 564 12 half half NN A34005 564 13 Sum Sum NNP A34005 564 14 of of IN A34005 564 15 the the DT A34005 564 16 3 3 CD A34005 564 17 sides side NNS A34005 564 18 , , , A34005 564 19 Is be VBZ A34005 564 20 to to IN A34005 564 21 the the DT A34005 564 22 Square Square NNP A34005 564 23 of of IN A34005 564 24 the the DT A34005 564 25 Radius radius NN A34005 564 26 : : : A34005 564 27 So so RB A34005 564 28 is be VBZ A34005 564 29 the the DT A34005 564 30 Rectangle Rectangle NNP A34005 564 31 of of IN A34005 564 32 the the DT A34005 564 33 said say VBN A34005 564 34 half half NN A34005 564 35 sum sum NN A34005 564 36 , , , A34005 564 37 and and CC A34005 564 38 of of IN A34005 564 39 the the DT A34005 564 40 difference difference NN A34005 564 41 of of IN A34005 564 42 the the DT A34005 564 43 Base Base NNP A34005 564 44 there there RB A34005 564 45 from from IN A34005 564 46 , , , A34005 564 47 To to IN A34005 564 48 the the DT A34005 564 49 Square Square NNP A34005 564 50 of of IN A34005 564 51 the the DT A34005 564 52 Tangent Tangent NNP A34005 564 53 of of IN A34005 564 54 an an DT A34005 564 55 angle angle NN A34005 564 56 , , , A34005 564 57 which which WDT A34005 564 58 doubled double VBD A34005 564 59 is be VBZ A34005 564 60 the the DT A34005 564 61 Complement Complement NNP A34005 564 62 of of IN A34005 564 63 the the DT A34005 564 64 angle angle NN A34005 564 65 sought seek VBN A34005 564 66 to to IN A34005 564 67 180d 180d NNPS A34005 564 68 , , , A34005 564 69 Or or CC A34005 564 70 the the DT A34005 564 71 Complement Complement NNP A34005 564 72 of of IN A34005 564 73 this this DT A34005 564 74 angle angle NN A34005 564 75 doubled double VBD A34005 564 76 is be VBZ A34005 564 77 the the DT A34005 564 78 angle angle NN A34005 564 79 sought seek VBN A34005 564 80 . . . A34005 565 1 To to TO A34005 565 2 Operate operate VB A34005 565 3 the the DT A34005 565 4 former former JJ A34005 565 5 Proportion proportion NN A34005 565 6 by by IN A34005 565 7 the the DT A34005 565 8 Tables Tables NNPS A34005 565 9 . . . A34005 566 1 From from IN A34005 566 2 the the DT A34005 566 3 half half NN A34005 566 4 Sum Sum NNP A34005 566 5 of of IN A34005 566 6 the the DT A34005 566 7 three three CD A34005 566 8 Sides side NNS A34005 566 9 substract substract VBP A34005 566 10 each each DT A34005 566 11 Side side NN A34005 566 12 severally severally RB A34005 566 13 then then RB A34005 566 14 from from IN A34005 566 15 the the DT A34005 566 16 Sum Sum NNP A34005 566 17 of of IN A34005 566 18 the the DT A34005 566 19 Logarithmes logarithme NNS A34005 566 20 of of IN A34005 566 21 the the DT A34005 566 22 Square Square NNP A34005 566 23 of of IN A34005 566 24 the the DT A34005 566 25 Radius Radius NNP A34005 566 26 ( ( -LRB- A34005 566 27 which which WDT A34005 566 28 in in IN A34005 566 29 Logarithms Logarithms NNP A34005 566 30 is be VBZ A34005 566 31 the the DT A34005 566 32 Radius radius NN A34005 566 33 doubled double VBD A34005 566 34 ) ) -RRB- A34005 566 35 and and CC A34005 566 36 of of IN A34005 566 37 the the DT A34005 566 38 differences difference NNS A34005 566 39 of of IN A34005 566 40 the the DT A34005 566 41 Sides side NNS A34005 566 42 containing contain VBG A34005 566 43 the the DT A34005 566 44 angle angle NN A34005 566 45 sought seek VBD A34005 566 46 . . . A34005 567 1 Substract substract VB A34005 567 2 the the DT A34005 567 3 Sum Sum NNP A34005 567 4 of of IN A34005 567 5 the the DT A34005 567 6 Logarithms Logarithms NNP A34005 567 7 of of IN A34005 567 8 the the DT A34005 567 9 half half JJ A34005 567 10 sum sum NN A34005 567 11 of of IN A34005 567 12 the the DT A34005 567 13 three three CD A34005 567 14 sides side NNS A34005 567 15 , , , A34005 567 16 and and CC A34005 567 17 of of IN A34005 567 18 the the DT A34005 567 19 difference difference NN A34005 567 20 of of IN A34005 567 21 the the DT A34005 567 22 Base Base NNP A34005 567 23 therefrom therefrom NN A34005 567 24 the the DT A34005 567 25 half half NN A34005 567 26 of of IN A34005 567 27 the the DT A34005 567 28 remainder remainder NN A34005 567 29 is be VBZ A34005 567 30 the the DT A34005 567 31 Logarithm Logarithm NNP A34005 567 32 of of IN A34005 567 33 the the DT A34005 567 34 Tangent Tangent NNP A34005 567 35 of of IN A34005 567 36 half half PDT A34005 567 37 the the DT A34005 567 38 angle angle NN A34005 567 39 sought seek VBD A34005 567 40 Example example NN A34005 567 41 . . . A34005 568 1 In in IN A34005 568 2 the the DT A34005 568 3 Triangle Triangle NNP A34005 568 4 A A NNP A34005 568 5 B B NNP A34005 568 6 C c NN A34005 568 7 let let VBD A34005 568 8 the the DT A34005 568 9 three three CD A34005 568 10 sides side NNS A34005 568 11 be be VB A34005 568 12 given give VBN A34005 568 13 to to TO A34005 568 14 find find VB A34005 568 15 the the DT A34005 568 16 Obtuse Obtuse NNP A34005 568 17 angle angle NN A34005 568 18 at at IN A34005 568 19 C. C. NNP A34005 568 20 Differences Differences NNP A34005 568 21 from from IN A34005 568 22 the the DT A34005 568 23 half half JJ A34005 568 24 sum sum NN A34005 568 25 . . . A34005 569 1 B B NNP A34005 569 2 C C NNP A34005 569 3 126 126 CD A34005 569 4 Leggs Leggs NNP A34005 569 5 — — : A34005 569 6 101 101 CD A34005 569 7 — — : A34005 569 8 2,0043214 2,0043214 NNP A34005 569 9 A a NN A34005 569 10 C c NN A34005 569 11 194 194 CD A34005 569 12 Leggs Leggs NNP A34005 569 13 — — : A34005 569 14 169 169 CD A34005 569 15 — — : A34005 569 16 2,2278867 2,2278867 NNP A34005 569 17 A a DT A34005 569 18 B B NNP A34005 569 19 270 270 CD A34005 569 20 Base base NN A34005 569 21 — — : A34005 569 22 25 25 CD A34005 569 23 Logarithms Logarithms NNP A34005 569 24 — — : A34005 569 25 — — : A34005 569 26     _SP A34005 569 27 — — : A34005 569 28 1,3979400 1,3979400 NN A34005 569 29 Sum Sum NNP A34005 569 30 with with IN A34005 569 31 double double JJ A34005 569 32 Radius Radius NNP A34005 569 33 24,2322081 24,2322081 NNP A34005 569 34 Sum Sum NNP A34005 569 35 590 590 CD A34005 569 36         _SP A34005 569 37 half half JJ A34005 569 38 sum sum NN A34005 569 39 295 295 CD A34005 569 40 — — : A34005 569 41 2,4698220 2,4698220 CD A34005 569 42             _SP A34005 569 43 — — : A34005 569 44 3,8677620 3,8677620 JJ A34005 569 45         _SP A34005 569 46 3,8677620 3,8677620 NN A34005 569 47 — — : A34005 569 48         _SP A34005 569 49 — — : A34005 569 50 20,3644461 20,3644461 NNP A34005 569 51 Tangent tangent NN A34005 569 52 of of IN A34005 569 53 56d 56d NNS A34005 569 54 41′ 41′ CD A34005 569 55 which which WDT A34005 569 56 doubled double VBD A34005 569 57 is be VBZ A34005 569 58 113d 113d NNPS A34005 569 59 22′ 22′ CD A34005 569 60 the the DT A34005 569 61 angle angle NN A34005 569 62 sought seek VBD A34005 569 63 . . . A34005 570 1 10,1822230 10,1822230 CD A34005 570 2 half half NN A34005 570 3 For for IN A34005 570 4 the the DT A34005 570 5 2d 2d JJ A34005 570 6 Proportion proportion NN A34005 570 7 for for IN A34005 570 8 finding find VBG A34005 570 9 an an DT A34005 570 10 Angle Angle NNP A34005 570 11 the the DT A34005 570 12 Operat Operat NNP A34005 570 13 on on IN A34005 570 14 varies varie NNS A34005 570 15 ; ; : A34005 570 16 to to IN A34005 570 17 the the DT A34005 570 18 former former JJ A34005 570 19 sum sum NN A34005 570 20 add add VB A34005 570 21 the the DT A34005 570 22 double double JJ A34005 570 23 Radius Radius NNP A34005 570 24 , , , A34005 570 25 and and CC A34005 570 26 from from IN A34005 570 27 the the DT A34005 570 28 Aggregate Aggregate NNP A34005 570 29 substract substract VB A34005 570 30 the the DT A34005 570 31 latter latter JJ A34005 570 32 sum sum NN A34005 570 33 , , , A34005 570 34 the the DT A34005 570 35 half half NN A34005 570 36 of of IN A34005 570 37 the the DT A34005 570 38 Relique Relique NNP A34005 570 39 is be VBZ A34005 570 40 the the DT A34005 570 41 Logarithm Logarithm NNP A34005 570 42 of of IN A34005 570 43 the the DT A34005 570 44 Cotangent Cotangent NNP A34005 570 45 of of IN A34005 570 46 half half PDT A34005 570 47 the the DT A34005 570 48 Angle Angle NNP A34005 570 49 sought seek VBN A34005 570 50 . . . A34005 571 1 Tangent tangent NN A34005 571 2 of of IN A34005 571 3 33d 33d NNS A34005 571 4 19′ 19′ CD A34005 571 5 the the DT A34005 571 6 Complement Complement NNP A34005 571 7 whereof whereof NN A34005 571 8 is be VBZ A34005 571 9 56d 56d NNS A34005 571 10 41′ 41′ CD A34005 571 11 which which WDT A34005 571 12 doubled double VBD A34005 571 13 makes make VBZ A34005 571 14 113d 113d CD A34005 571 15 22′ 22′ CD A34005 571 16 as as IN A34005 571 17 before before IN A34005 571 18 The the DT A34005 571 19 Tables Tables NNPS A34005 571 20 here here RB A34005 571 21 made make VBD A34005 571 22 use use NN A34005 571 23 of of IN A34005 571 24 are be VBP A34005 571 25 Mr. Mr. NNP A34005 571 26 Gellibrands Gellibrands NNP A34005 571 27 . . . A34005 572 1 It -PRON- PRP A34005 572 2 may may MD A34005 572 3 be be VB A34005 572 4 also also RB A34005 572 5 found find VBN A34005 572 6 in in IN A34005 572 7 Sines Sines NNP A34005 572 8 . . . A34005 573 1 As as IN A34005 573 2 the the DT A34005 573 3 Rectangle Rectangle NNP A34005 573 4 of of IN A34005 573 5 the the DT A34005 573 6 Containing contain VBG A34005 573 7 Sides Sides NNPS A34005 573 8 or or CC A34005 573 9 Leggs Leggs NNP A34005 573 10 Is be VBZ A34005 573 11 to to IN A34005 573 12 the the DT A34005 573 13 Square Square NNP A34005 573 14 of of IN A34005 573 15 the the DT A34005 573 16 Radius radius NN A34005 573 17 : : : A34005 573 18 So so CC A34005 573 19 the the DT A34005 573 20 Rectangle Rectangle NNP A34005 573 21 of of IN A34005 573 22 the the DT A34005 573 23 differences difference NNS A34005 573 24 of of IN A34005 573 25 the the DT A34005 573 26 said say VBN A34005 573 27 Leggs Leggs NNP A34005 573 28 from from IN A34005 573 29 half half NN A34005 573 30 Sum Sum NNP A34005 573 31 of of IN A34005 573 32 the the DT A34005 573 33 three three CD A34005 573 34 Sides Sides NNPS A34005 573 35 , , , A34005 573 36 To to IN A34005 573 37 the the DT A34005 573 38 Square Square NNP A34005 573 39 of of IN A34005 573 40 the the DT A34005 573 41 Sine Sine NNP A34005 573 42 of of IN A34005 573 43 half half PDT A34005 573 44 the the DT A34005 573 45 Angle Angle NNP A34005 573 46 sought seek VBN A34005 573 47 . . . A34005 574 1 Or or CC A34005 574 2 , , , A34005 574 3 We -PRON- PRP A34005 574 4 may may MD A34005 574 5 find find VB A34005 574 6 the the DT A34005 574 7 Square Square NNP A34005 574 8 of of IN A34005 574 9 the the DT A34005 574 10 Cosine Cosine NNP A34005 574 11 of of IN A34005 574 12 half half PDT A34005 574 13 the the DT A34005 574 14 Angle Angle NNP A34005 574 15 sought seek VBN A34005 574 16 by by IN A34005 574 17 this this DT A34005 574 18 Proportion Proportion NNP A34005 574 19 . . . A34005 575 1 As as IN A34005 575 2 the the DT A34005 575 3 Rectangle Rectangle NNP A34005 575 4 of of IN A34005 575 5 the the DT A34005 575 6 containing contain VBG A34005 575 7 Sides Sides NNPS A34005 575 8 , , , A34005 575 9 Is be VBZ A34005 575 10 to to IN A34005 575 11 the the DT A34005 575 12 Square Square NNP A34005 575 13 of of IN A34005 575 14 the the DT A34005 575 15 Radius radius NN A34005 575 16 : : : A34005 575 17 So so CC A34005 575 18 the the DT A34005 575 19 Rectangle Rectangle NNP A34005 575 20 of of IN A34005 575 21 the the DT A34005 575 22 half half JJ A34005 575 23 sum sum NN A34005 575 24 of of IN A34005 575 25 the the DT A34005 575 26 three three CD A34005 575 27 Sides Sides NNPS A34005 575 28 , , , A34005 575 29 and and CC A34005 575 30 of of IN A34005 575 31 the the DT A34005 575 32 difference difference NN A34005 575 33 of of IN A34005 575 34 the the DT A34005 575 35 Base Base NNP A34005 575 36 there there RB A34005 575 37 from from IN A34005 575 38 , , , A34005 575 39 To to IN A34005 575 40 the the DT A34005 575 41 Square Square NNP A34005 575 42 of of IN A34005 575 43 the the DT A34005 575 44 Cosine Cosine NNP A34005 575 45 of of IN A34005 575 46 half half PDT A34005 575 47 the the DT A34005 575 48 Angle Angle NNP A34005 575 49 sought seek VBD A34005 575 50 , , , A34005 575 51 viz viz NN A34005 575 52 . . . A34005 576 1 To to IN A34005 576 2 the the DT A34005 576 3 Square Square NNP A34005 576 4 of of IN A34005 576 5 the the DT A34005 576 6 Sine Sine NNP A34005 576 7 of of IN A34005 576 8 such such PDT A34005 576 9 an an DT A34005 576 10 Ark Ark NNP A34005 576 11 , , , A34005 576 12 as as IN A34005 576 13 being be VBG A34005 576 14 doubled double VBN A34005 576 15 is be VBZ A34005 576 16 the the DT A34005 576 17 Complement Complement NNP A34005 576 18 of of IN A34005 576 19 the the DT A34005 576 20 Angle Angle NNP A34005 576 21 sought seek VBD A34005 576 22 to to IN A34005 576 23 180d 180d NNPS A34005 576 24 , , , A34005 576 25 or or CC A34005 576 26 the the DT A34005 576 27 Complement Complement NNP A34005 576 28 of of IN A34005 576 29 the the DT A34005 576 30 found find VBN A34005 576 31 Ark Ark NNP A34005 576 32 doubled double VBD A34005 576 33 is be VBZ A34005 576 34 the the DT A34005 576 35 angle angle NN A34005 576 36 sought seek VBN A34005 576 37 . . . A34005 577 1 All all PDT A34005 577 2 these these DT A34005 577 3 Proportions proportion NNS A34005 577 4 hold hold VBP A34005 577 5 also also RB A34005 577 6 in in IN A34005 577 7 Spherical Spherical NNP A34005 577 8 Triangles Triangles NNPS A34005 577 9 if if IN A34005 577 10 instead instead RB A34005 577 11 of of IN A34005 577 12 the the DT A34005 577 13 bare bare JJ A34005 577 14 names name NNS A34005 577 15 of of IN A34005 577 16 Sides side NNS A34005 577 17 you -PRON- PRP A34005 577 18 say say VBP A34005 577 19 the the DT A34005 577 20 Sines Sines NNPS A34005 577 21 of of IN A34005 577 22 those those DT A34005 577 23 Sides side NNS A34005 577 24 , , , A34005 577 25 and and CC A34005 577 26 this this DT A34005 577 27 Case Case NNP A34005 577 28 may may MD A34005 577 29 also also RB A34005 577 30 be be VB A34005 577 31 resolved resolve VBN A34005 577 32 by by IN A34005 577 33 a a DT A34005 577 34 Perpendicular perpendicular JJ A34005 577 35 let let NN A34005 577 36 - - HYPH A34005 577 37 fall fall VB A34005 577 38 ; ; : A34005 577 39 but but CC A34005 577 40 the the DT A34005 577 41 Reader reader NN A34005 577 42 need need VBP A34005 577 43 not not RB A34005 577 44 trouble trouble VB A34005 577 45 himself -PRON- PRP A34005 577 46 with with IN A34005 577 47 name name NN A34005 577 48 nor nor CC A34005 577 49 thing thing NN A34005 577 50 in in IN A34005 577 51 no no DT A34005 577 52 Case Case NNP A34005 577 53 of of IN A34005 577 54 Plain Plain NNP A34005 577 55 or or CC A34005 577 56 Sphoerical Sphoerical NNP A34005 577 57 Triangles Triangles NNPS A34005 577 58 , , , A34005 577 59 but but CC A34005 577 60 when when WRB A34005 577 61 two two CD A34005 577 62 of of IN A34005 577 63 the the DT A34005 577 64 given give VBN A34005 577 65 Sides Sides NNPS A34005 577 66 or or CC A34005 577 67 Angles Angles NNPS A34005 577 68 are be VBP A34005 577 69 equal equal JJ A34005 577 70 . . . A34005 578 1 If if IN A34005 578 2 the the DT A34005 578 3 Square Square NNP A34005 578 4 of of IN A34005 578 5 the the DT A34005 578 6 Radius Radius NNP A34005 578 7 and and CC A34005 578 8 the the DT A34005 578 9 Square Square NNP A34005 578 10 of of IN A34005 578 11 the the DT A34005 578 12 Sine Sine NNP A34005 578 13 of of IN A34005 578 14 an an DT A34005 578 15 Ark Ark NNP A34005 578 16 be be VB A34005 578 17 both both DT A34005 578 18 divided divide VBN A34005 578 19 by by IN A34005 578 20 Radius Radius NNP A34005 578 21 the the DT A34005 578 22 Quotients Quotients NNP A34005 578 23 will will MD A34005 578 24 be be VB A34005 578 25 the the DT A34005 578 26 Radius Radius NNP A34005 578 27 , , , A34005 578 28 and and CC A34005 578 29 the the DT A34005 578 30 half half NN A34005 578 31 Versed verse VBN A34005 578 32 Sine Sine NNP A34005 578 33 of of IN A34005 578 34 twice twice PDT A34005 578 35 that that DT A34005 578 36 Arch Arch NNP A34005 578 37 , , , A34005 578 38 and and CC A34005 578 39 in in IN A34005 578 40 the the DT A34005 578 41 same same JJ A34005 578 42 Proportion proportion NN A34005 578 43 that that IN A34005 578 44 the the DT A34005 578 45 two two CD A34005 578 46 tearms tearm NNS A34005 578 47 propounded propound VBN A34005 578 48 , , , A34005 578 49 as as IN A34005 578 50 will will MD A34005 578 51 afterwards afterwards RB A34005 578 52 be be VB A34005 578 53 shewed shew VBN A34005 578 54 , , , A34005 578 55 upon upon IN A34005 578 56 this this DT A34005 578 57 Consideration consideration NN A34005 578 58 may may MD A34005 578 59 any any DT A34005 578 60 of of IN A34005 578 61 these these DT A34005 578 62 Compound Compound NNP A34005 578 63 Proportions Proportions NNPS A34005 578 64 be be VB A34005 578 65 reduced reduce VBN A34005 578 66 to to IN A34005 578 67 single single JJ A34005 578 68 Tearms tearm NNS A34005 578 69 for for IN A34005 578 70 Instrumental Instrumental NNP A34005 578 71 Operations Operations NNPS A34005 578 72 , , , A34005 578 73 by by IN A34005 578 74 placing place VBG A34005 578 75 the the DT A34005 578 76 two two CD A34005 578 77 Tearms tearm NNS A34005 578 78 of of IN A34005 578 79 the the DT A34005 578 80 first first JJ A34005 578 81 Rectangle Rectangle NNP A34005 578 82 , , , A34005 578 83 as as IN A34005 578 84 two two CD A34005 578 85 Divisors divisor NNS A34005 578 86 in in IN A34005 578 87 two two CD A34005 578 88 single single JJ A34005 578 89 Rules rule NNS A34005 578 90 of of IN A34005 578 91 three three CD A34005 578 92 , , , A34005 578 93 and and CC A34005 578 94 the the DT A34005 578 95 tearms tearm NNS A34005 578 96 of of IN A34005 578 97 the the DT A34005 578 98 other other JJ A34005 578 99 Rectangle Rectangle NNP A34005 578 100 as as IN A34005 578 101 middle middle JJ A34005 578 102 tearms tearm NNS A34005 578 103 . . . A34005 579 1 An an DT A34005 579 2 Example example NN A34005 579 3 in in IN A34005 579 4 that that DT A34005 579 5 Proportion proportion NN A34005 579 6 for for IN A34005 579 7 finding find VBG A34005 579 8 an an DT A34005 579 9 Angle angle NN A34005 579 10 in in IN A34005 579 11 the the DT A34005 579 12 Sineés Sineés NNP A34005 579 13 : : : A34005 579 14 As as IN A34005 579 15 one one CD A34005 579 16 of of IN A34005 579 17 the the DT A34005 579 18 Leggs Leggs NNP A34005 579 19 or or CC A34005 579 20 including include VBG A34005 579 21 Sides Sides NNP A34005 579 22 , , , A34005 579 23 Is be VBZ A34005 579 24 to to IN A34005 579 25 the the DT A34005 579 26 difference difference NN A34005 579 27 thereof thereof RB A34005 579 28 from from IN A34005 579 29 the the DT A34005 579 30 half half JJ A34005 579 31 sum sum NN A34005 579 32 of of IN A34005 579 33 the the DT A34005 579 34 three three CD A34005 579 35 Sides Sides NNPS A34005 579 36 : : : A34005 579 37 So so RB A34005 579 38 is be VBZ A34005 579 39 the the DT A34005 579 40 Difference Difference NNP A34005 579 41 of of IN A34005 579 42 the the DT A34005 579 43 other other JJ A34005 579 44 Legg Legg NNP A34005 579 45 therefrom therefrom NN A34005 579 46 , , , A34005 579 47 To to IN A34005 579 48 a a DT A34005 579 49 fourth fourth JJ A34005 579 50 Number number NN A34005 579 51 . . . A34005 580 1 Again again RB A34005 580 2 . . . A34005 581 1 As as IN A34005 581 2 the the DT A34005 581 3 other other JJ A34005 581 4 Legg Legg NNP A34005 581 5 , , , A34005 581 6 To to IN A34005 581 7 that that DT A34005 581 8 fourth fourth JJ A34005 581 9 Number number NN A34005 581 10 : : : A34005 581 11 So so RB A34005 581 12 is be VBZ A34005 581 13 the the DT A34005 581 14 Radius Radius NNP A34005 581 15 , , , A34005 581 16 To to IN A34005 581 17 the the DT A34005 581 18 half half NN A34005 581 19 Versed verse VBN A34005 581 20 Sine Sine NNP A34005 581 21 of of IN A34005 581 22 the the DT A34005 581 23 Angle Angle NNP A34005 581 24 sought seek VBD A34005 581 25 ; ; : A34005 581 26 And and CC A34005 581 27 so so RB A34005 581 28 is be VBZ A34005 581 29 the the DT A34005 581 30 Diameter Diameter NNP A34005 581 31 or or CC A34005 581 32 Versed Versed NNP A34005 581 33 Sine Sine NNP A34005 581 34 of of IN A34005 581 35 180d 180d NNPS A34005 581 36 Or or CC A34005 581 37 Secant Secant NNP A34005 581 38 of of IN A34005 581 39 60d 60d NNS A34005 581 40 To to IN A34005 581 41 the the DT A34005 581 42 Versed Versed NNP A34005 581 43 Sine Sine NNP A34005 581 44 of of IN A34005 581 45 the the DT A34005 581 46 Angle Angle NNP A34005 581 47 sought seek VBD A34005 581 48 . . . A34005 582 1 And and CC A34005 582 2 upon upon IN A34005 582 3 this this DT A34005 582 4 Consideration consideration NN A34005 582 5 , , , A34005 582 6 that that IN A34005 582 7 the the DT A34005 582 8 fourth fourth JJ A34005 582 9 Tearm Tearm NNP A34005 582 10 in in IN A34005 582 11 every every DT A34005 582 12 direct direct JJ A34005 582 13 Proportion proportion NN A34005 582 14 bears bear VBZ A34005 582 15 such such JJ A34005 582 16 Proportion proportion NN A34005 582 17 to to IN A34005 582 18 the the DT A34005 582 19 first first JJ A34005 582 20 Tearm Tearm NNP A34005 582 21 , , , A34005 582 22 as as IN A34005 582 23 the the DT A34005 582 24 Rectangle Rectangle NNP A34005 582 25 or or CC A34005 582 26 Product Product NNP A34005 582 27 of of IN A34005 582 28 the the DT A34005 582 29 two two CD A34005 582 30 middle middle JJ A34005 582 31 Tearms Tearms NNPS A34005 582 32 doth doth JJ A34005 582 33 to to IN A34005 582 34 the the DT A34005 582 35 Square Square NNP A34005 582 36 of of IN A34005 582 37 the the DT A34005 582 38 first first JJ A34005 582 39 Tearm Tearm NNP A34005 582 40 , , , A34005 582 41 as as IN A34005 582 42 may may MD A34005 582 43 be be VB A34005 582 44 demonstrated demonstrate VBN A34005 582 45 from from IN A34005 582 46 1 1 CD A34005 582 47 Prop Prop NNP A34005 582 48 . . . A34005 583 1 6 6 CD A34005 583 2 . . . A34005 584 1 Euclid euclid JJ A34005 584 2 . . . A34005 585 1 We -PRON- PRP A34005 585 2 may may MD A34005 585 3 place place VB A34005 585 4 the the DT A34005 585 5 Radius Radius NNP A34005 585 6 or or CC A34005 585 7 Diameter Diameter NNP A34005 585 8 in in IN A34005 585 9 the the DT A34005 585 10 first first JJ A34005 585 11 place place NN A34005 585 12 of of IN A34005 585 13 the the DT A34005 585 14 first first JJ A34005 585 15 Proportion Proportion NNP A34005 585 16 , , , A34005 585 17 and and CC A34005 585 18 still still RB A34005 585 19 have have VB A34005 585 20 the the DT A34005 585 21 half half NN A34005 585 22 or or CC A34005 585 23 the the DT A34005 585 24 whole whole JJ A34005 585 25 Versed Versed NNP A34005 585 26 Sine Sine NNP A34005 585 27 in in IN A34005 585 28 the the DT A34005 585 29 last last JJ A34005 585 30 place place NN A34005 585 31 as as IN A34005 585 32 before before RB A34005 585 33 , , , A34005 585 34 therefore therefore RB A34005 585 35 As as IN A34005 585 36 the the DT A34005 585 37 Radius Radius NNP A34005 585 38 , , , A34005 585 39 To to IN A34005 585 40 one one CD A34005 585 41 of of IN A34005 585 42 the the DT A34005 585 43 given give VBN A34005 585 44 Leggs Leggs NNP A34005 585 45 : : : A34005 585 46 So so CC A34005 585 47 the the DT A34005 585 48 other other JJ A34005 585 49 given give VBN A34005 585 50 Legg Legg NNP A34005 585 51 , , , A34005 585 52 To to IN A34005 585 53 a a DT A34005 585 54 fourth fourth JJ A34005 585 55 Number number NN A34005 585 56 , , , A34005 585 57 which which WDT A34005 585 58 will will MD A34005 585 59 bear bear VB A34005 585 60 such such JJ A34005 585 61 Proportion proportion NN A34005 585 62 to to IN A34005 585 63 the the DT A34005 585 64 Radius radius NN A34005 585 65 , , , A34005 585 66 as as IN A34005 585 67 the the DT A34005 585 68 Rectangle Rectangle NNP A34005 585 69 of of IN A34005 585 70 the the DT A34005 585 71 two two CD A34005 585 72 given give VBN A34005 585 73 Leggs Leggs NNP A34005 585 74 doth doth NN A34005 585 75 to to IN A34005 585 76 the the DT A34005 585 77 Square Square NNP A34005 585 78 of of IN A34005 585 79 the the DT A34005 585 80 Radius Radius NNP A34005 585 81 , , , A34005 585 82 then then RB A34005 585 83 it -PRON- PRP A34005 585 84 holds hold VBZ A34005 585 85 , , , A34005 585 86 As as IN A34005 585 87 that that DT A34005 585 88 fourth fourth JJ A34005 585 89 number number NN A34005 585 90 , , , A34005 585 91 To to IN A34005 585 92 the the DT A34005 585 93 Radius radius NN A34005 585 94 : : : A34005 585 95 So so CC A34005 585 96 the the DT A34005 585 97 Rectangle Rectangle NNP A34005 585 98 of of IN A34005 585 99 the the DT A34005 585 100 difference difference NN A34005 585 101 of of IN A34005 585 102 〈 〈 NNS A34005 585 103 … … NFP A34005 585 104 〉 〉 NNP A34005 585 105 the the DT A34005 585 106 Leggs Leggs NNP A34005 585 107 from from IN A34005 585 108 the the DT A34005 585 109 half half JJ A34005 585 110 sum sum NN A34005 585 111 of of IN A34005 585 112 the the DT A34005 585 113 three three CD A34005 585 114 sides side NNS A34005 585 115 ; ; : A34005 585 116 To to IN A34005 585 117 the the DT A34005 585 118 Square Square NNP A34005 585 119 of of IN A34005 585 120 the the DT A34005 585 121 Sine Sine NNP A34005 585 122 of of IN A34005 585 123 half half PDT A34005 585 124 the the DT A34005 585 125 Angle Angle NNP A34005 585 126 sought seek VBD A34005 585 127 , , , A34005 585 128 and and CC A34005 585 129 omitting omit VBG A34005 585 130 the the DT A34005 585 131 Raidius Raidius NNP A34005 585 132 , , , A34005 585 133 it -PRON- PRP A34005 585 134 will will MD A34005 585 135 hold hold VB A34005 585 136 ; ; : A34005 585 137 As as IN A34005 585 138 that that DT A34005 585 139 fourth fourth JJ A34005 585 140 Number number NN A34005 585 141 , , , A34005 585 142 To to IN A34005 585 143 the the DT A34005 585 144 differences difference NNS A34005 585 145 of of IN A34005 585 146 the the DT A34005 585 147 Leggs Leggs NNP A34005 585 148 from from IN A34005 585 149 the the DT A34005 585 150 Leggs Leggs NNP A34005 585 151 from from IN A34005 585 152 the the DT A34005 585 153 half half JJ A34005 585 154 sum sum NN A34005 585 155 of of IN A34005 585 156 the the DT A34005 585 157 three three CD A34005 585 158 Sides Sides NNPS A34005 585 159 : : : A34005 585 160 So so RB A34005 585 161 is be VBZ A34005 585 162 the the DT A34005 585 163 difference difference NN A34005 585 164 of of IN A34005 585 165 the the DT A34005 585 166 other other JJ A34005 585 167 Legg Legg NNP A34005 585 168 therefrom therefrom NN A34005 585 169 , , , A34005 585 170 To to IN A34005 585 171 the the DT A34005 585 172 half half NN A34005 585 173 Versed verse VBN A34005 585 174 Sine Sine NNP A34005 585 175 of of IN A34005 585 176 the the DT A34005 585 177 Angle Angle NNP A34005 585 178 sought seek VBD A34005 585 179 . . . A34005 586 1 And and CC A34005 586 2 if if IN A34005 586 3 the the DT A34005 586 4 Diameter Diameter NNP A34005 586 5 had have VBD A34005 586 6 been be VBN A34005 586 7 in in IN A34005 586 8 the the DT A34005 586 9 first first JJ A34005 586 10 place place NN A34005 586 11 , , , A34005 586 12 then then RB A34005 586 13 would would MD A34005 586 14 the the DT A34005 586 15 whole whole JJ A34005 586 16 Versed Versed NNP A34005 586 17 Sine Sine NNP A34005 586 18 have have VBP A34005 586 19 been be VBN A34005 586 20 in in IN A34005 586 21 the the DT A34005 586 22 last last JJ A34005 586 23 . . . A34005 587 1 This this DT A34005 587 2 Case case NN A34005 587 3 when when WRB A34005 587 4 3 3 CD A34005 587 5 Sides side NNS A34005 587 6 are be VBP A34005 587 7 given give VBN A34005 587 8 to to TO A34005 587 9 find find VB A34005 587 10 an an DT A34005 587 11 Angle angle NN A34005 587 12 is be VBZ A34005 587 13 commonly commonly RB A34005 587 14 resolved resolve VBN A34005 587 15 by by IN A34005 587 16 a a DT A34005 587 17 Perpendicular perpendicular JJ A34005 587 18 let let NN A34005 587 19 - - HYPH A34005 587 20 fall fall VB A34005 587 21 , , , A34005 587 22 it -PRON- PRP A34005 587 23 shall shall MD A34005 587 24 be be VB A34005 587 25 only only RB A34005 587 26 supposed suppose VBN A34005 587 27 and and CC A34005 587 28 the the DT A34005 587 29 Cannon Cannon NNP A34005 587 30 will will MD A34005 587 31 hold hold VB A34005 587 32 , , , A34005 587 33 As as IN A34005 587 34 the the DT A34005 587 35 Base Base NNP A34005 587 36 or or CC A34005 587 37 greater great JJR A34005 587 38 Side side NN A34005 587 39 , , , A34005 587 40 To to IN A34005 587 41 the the DT A34005 587 42 sum sum NN A34005 587 43 of of IN A34005 587 44 the the DT A34005 587 45 other other JJ A34005 587 46 Sides Sides NNPS A34005 587 47 : : : A34005 587 48 So so RB A34005 587 49 is be VBZ A34005 587 50 the the DT A34005 587 51 difference difference NN A34005 587 52 of of IN A34005 587 53 the the DT A34005 587 54 other other JJ A34005 587 55 Sides Sides NNPS A34005 587 56 , , , A34005 587 57 To to IN A34005 587 58 a a DT A34005 587 59 fourth fourth JJ A34005 587 60 Number number NN A34005 587 61 , , , A34005 587 62 which which WDT A34005 587 63 taken take VBD A34005 587 64 out out IN A34005 587 65 of of IN A34005 587 66 the the DT A34005 587 67 Base Base NNP A34005 587 68 , , , A34005 587 69 half half PDT A34005 587 70 the the DT A34005 587 71 remainder remainder NN A34005 587 72 is be VBZ A34005 587 73 the the DT A34005 587 74 lesser less JJR A34005 587 75 Segment Segment NNP A34005 587 76 , , , A34005 587 77 and and CC A34005 587 78 the the DT A34005 587 79 said say VBN A34005 587 80 half half NN A34005 587 81 added add VBD A34005 587 82 to to IN A34005 587 83 this this DT A34005 587 84 fourth fourth JJ A34005 587 85 Number number NN A34005 587 86 is be VBZ A34005 587 87 the the DT A34005 587 88 greater great JJR A34005 587 89 Segment Segment NNP A34005 587 90 . . . A34005 588 1 Again again RB A34005 588 2 . . . A34005 589 1 As as IN A34005 589 2 the the DT A34005 589 3 greater great JJR A34005 589 4 of of IN A34005 589 5 the the DT A34005 589 6 other other JJ A34005 589 7 Sides Sides NNPS A34005 589 8 , , , A34005 589 9 To to IN A34005 589 10 Radius Radius NNP A34005 589 11 : : : A34005 589 12 So so RB A34005 589 13 is be VBZ A34005 589 14 the the DT A34005 589 15 greater great JJR A34005 589 16 Segment Segment NNP A34005 589 17 , , , A34005 589 18 To to IN A34005 589 19 the the DT A34005 589 20 Cosine Cosine NNP A34005 589 21 of of IN A34005 589 22 the the DT A34005 589 23 Angle Angle NNP A34005 589 24 adjacent adjacent JJ A34005 589 25 thereto thereto NN A34005 589 26 , , , A34005 589 27 Or or CC A34005 589 28 , , , A34005 589 29 As as IN A34005 589 30 the the DT A34005 589 31 Lesser Lesser NNP A34005 589 32 of of IN A34005 589 33 the the DT A34005 589 34 other other JJ A34005 589 35 Sides Sides NNPS A34005 589 36 , , , A34005 589 37 To to IN A34005 589 38 Radius Radius NNP A34005 589 39 : : : A34005 589 40 So so RB A34005 589 41 is be VBZ A34005 589 42 the the DT A34005 589 43 lesser less JJR A34005 589 44 Segment Segment NNP A34005 589 45 , , , A34005 589 46 To to IN A34005 589 47 the the DT A34005 589 48 Cosine Cosine NNP A34005 589 49 of of IN A34005 589 50 its -PRON- PRP$ A34005 589 51 adjacent adjacent JJ A34005 589 52 Angle angle NN A34005 589 53 : : : A34005 589 54 This this DT A34005 589 55 for for IN A34005 589 56 either either DT A34005 589 57 of of IN A34005 589 58 the the DT A34005 589 59 Angles Angles NNPS A34005 589 60 adjacent adjacent JJ A34005 589 61 to to IN A34005 589 62 the the DT A34005 589 63 Base Base NNP A34005 589 64 or or CC A34005 589 65 greatest great JJS A34005 589 66 side side NN A34005 589 67 but but CC A34005 589 68 for for IN A34005 589 69 the the DT A34005 589 70 angle angle NN A34005 589 71 opposite opposite RB A34005 589 72 to to IN A34005 589 73 the the DT A34005 589 74 greatest great JJS A34005 589 75 side side NN A34005 589 76 , , , A34005 589 77 which which WDT A34005 589 78 may may MD A34005 589 79 be be VB A34005 589 80 sometimes sometimes RB A34005 589 81 Obtuse Obtuse NNP A34005 589 82 , , , A34005 589 83 sometimes sometimes RB A34005 589 84 Acute acute JJ A34005 589 85 ; ; : A34005 589 86 not not RB A34005 589 87 to to TO A34005 589 88 multiply multiply VB A34005 589 89 Directions direction NNS A34005 589 90 , , , A34005 589 91 the the DT A34005 589 92 Reader reader NN A34005 589 93 is be VBZ A34005 589 94 remitted remit VBN A34005 589 95 to to IN A34005 589 96 the the DT A34005 589 97 former former JJ A34005 589 98 Cannons Cannons NNPS A34005 589 99 , , , A34005 589 100 or or CC A34005 589 101 to to TO A34005 589 102 find find VB A34005 589 103 both both CC A34005 589 104 the the DT A34005 589 105 Angles angle NNS A34005 589 106 at at IN A34005 589 107 the the DT A34005 589 108 Base Base NNP A34005 589 109 first first RB A34005 589 110 , , , A34005 589 111 and and CC A34005 589 112 by by IN A34005 589 113 consequence consequence NNP A34005 589 114 the the DT A34005 589 115 third third JJ A34005 589 116 angle angle NN A34005 589 117 is be VBZ A34005 589 118 also also RB A34005 589 119 given give VBN A34005 589 120 , , , A34005 589 121 being be VBG A34005 589 122 the the DT A34005 589 123 residue residue NN A34005 589 124 of of IN A34005 589 125 the the DT A34005 589 126 sum sum NN A34005 589 127 of of IN A34005 589 128 the the DT A34005 589 129 former former JJ A34005 589 130 from from IN A34005 589 131 a a DT A34005 589 132 Semicircle Semicircle NNP A34005 589 133 . . . A34005 590 1 In in IN A34005 590 2 right right RB A34005 590 3 angled angle VBN A34005 590 4 Spherical Spherical NNP A34005 590 5 Triangles Triangles NNPS A34005 590 6 . . . A34005 591 1 By by IN A34005 591 2 the the DT A34005 591 3 affection affection NN A34005 591 4 of of IN A34005 591 5 the the DT A34005 591 6 Angles Angles NNPS A34005 591 7 to to TO A34005 591 8 know know VB A34005 591 9 the the DT A34005 591 10 Affection Affection NNP A34005 591 11 of of IN A34005 591 12 the the DT A34005 591 13 Hipotenusal Hipotenusal NNP A34005 591 14 , , , A34005 591 15 and and CC A34005 591 16 the the DT A34005 591 17 Converse Converse NNP A34005 591 18 . . . A34005 592 1 If if IN A34005 592 2 one one CD A34005 592 3 of of IN A34005 592 4 the the DT A34005 592 5 angles angle NNS A34005 592 6 at at IN A34005 592 7 the the DT A34005 592 8 Hipotenusal Hipotenusal NNP A34005 592 9 be be VB A34005 592 10 a a DT A34005 592 11 right right JJ A34005 592 12 angle angle NN A34005 592 13 The the DT A34005 592 14 Hipotenusal hipotenusal NN A34005 592 15 will will MD A34005 592 16 be be VB A34005 592 17 A a DT A34005 592 18 Quadrant Quadrant NNP A34005 592 19 . . . A34005 593 1 If if IN A34005 593 2 both both DT A34005 593 3 be be VBP A34005 593 4 of of IN A34005 593 5 the the DT A34005 593 6 same same JJ A34005 593 7 kind kind NN A34005 593 8 , , , A34005 593 9 The the DT A34005 593 10 Hipotenusal Hipotenusal NNP A34005 593 11 will will MD A34005 593 12 be be VB A34005 593 13 lesser less JJR A34005 593 14 then then RB A34005 593 15 a a DT A34005 593 16 Quadr Quadr NNP A34005 593 17 . . . A34005 594 1 If if IN A34005 594 2 of of IN A34005 594 3 a a DT A34005 594 4 different different JJ A34005 594 5 kind kind NN A34005 594 6 , , , A34005 594 7 The the DT A34005 594 8 Hipotenusal Hipotenusal NNP A34005 594 9 will will MD A34005 594 10 be be VB A34005 594 11 greater great JJR A34005 594 12 then then RB A34005 594 13 a a DT A34005 594 14 Quadr Quadr NNP A34005 594 15 . . . A34005 595 1 By by IN A34005 595 2 the the DT A34005 595 3 Hipotenusal Hipotenusal NNP A34005 595 4 to to TO A34005 595 5 find find VB A34005 595 6 the the DT A34005 595 7 affection affection NN A34005 595 8 of of IN A34005 595 9 the the DT A34005 595 10 Leggs Leggs NNP A34005 595 11 ▪ ▪ NN A34005 595 12 and and CC A34005 595 13 the the DT A34005 595 14 Converse converse NN A34005 595 15 : : : A34005 595 16 If if IN A34005 595 17 the the DT A34005 595 18 Hipotenusal Hipotenusal NNP A34005 595 19 be be VB A34005 595 20 A a DT A34005 595 21 Quadrant Quadrant NNP A34005 595 22 one one CD A34005 595 23 of of IN A34005 595 24 the the DT A34005 595 25 Legs leg NNS A34005 595 26 wil wil PRP A34005 595 27 be be VB A34005 595 28 a a DT A34005 595 29 Quadrant Quadrant NNP A34005 595 30 If if IN A34005 595 31 the the DT A34005 595 32 Hipotenusal Hipotenusal NNP A34005 595 33 be be VB A34005 595 34 Less Less JJR A34005 595 35 then then RB A34005 595 36 A a DT A34005 595 37 Quadrant Quadrant NNP A34005 595 38 The the DT A34005 595 39 Leggs Leggs NNP A34005 595 40 , , , A34005 595 41 and and CC A34005 595 42 their -PRON- PRP$ A34005 595 43 Opposit Opposit NNP A34005 595 44 Angles Angles NNPS A34005 595 45 wil wil RB A34005 595 46 be be VB A34005 595 47 less less JJR A34005 595 48 then then RB A34005 595 49 Quadrant Quadrant NNP A34005 595 50 If if IN A34005 595 51 the the DT A34005 595 52 Hipotenusal Hipotenusal NNP A34005 595 53 be be VB A34005 595 54 Greater great JJR A34005 595 55 , , , A34005 595 56 then then RB A34005 595 57 A a DT A34005 595 58 Quadrant Quadrant NNP A34005 595 59 One One NNP A34005 595 60 Legg Legg NNP A34005 595 61 will will MD A34005 595 62 be be VB A34005 595 63 greater great JJR A34005 595 64 , , , A34005 595 65 & & CC A34005 595 66 the the DT A34005 595 67 other other JJ A34005 595 68 less less RBR A34005 595 69 then then RB A34005 595 70 the the DT A34005 595 71 Quadrant Quadrant NNP A34005 595 72 : : : A34005 595 73 The the DT A34005 595 74 Leggs Leggs NNP A34005 595 75 of of IN A34005 595 76 a a DT A34005 595 77 right right NN A34005 595 78 angled angle VBN A34005 595 79 Sphoerical Sphoerical NNP A34005 595 80 Triangle Triangle NNP A34005 595 81 are be VBP A34005 595 82 of of IN A34005 595 83 the the DT A34005 595 84 same same JJ A34005 595 85 Affection Affection NNP A34005 595 86 as as IN A34005 595 87 their -PRON- PRP$ A34005 595 88 Opposite Opposite NNP A34005 595 89 Angles Angles NNPS A34005 595 90 and and CC A34005 595 91 the the DT A34005 595 92 Converse converse NN A34005 595 93 : : : A34005 595 94 If if IN A34005 595 95 a a DT A34005 595 96 Legg Legg NNP A34005 595 97 be be VB A34005 595 98 a a DT A34005 595 99 Quadrant Quadrant NNP A34005 595 100 the the DT A34005 595 101 Angle Angle NNP A34005 595 102 opposite opposite JJ A34005 595 103 thereto thereto NN A34005 595 104 will will MD A34005 595 105 be be VB A34005 595 106 a a DT A34005 595 107 Quadr Quadr NNP A34005 595 108 . . . A34005 596 1 If if IN A34005 596 2 a a DT A34005 596 3 Legg Legg NNP A34005 596 4 be be VB A34005 596 5 less less JJR A34005 596 6 then then RB A34005 596 7 a a DT A34005 596 8 Quadrant Quadrant NNP A34005 596 9 the the DT A34005 596 10 Angle Angle NNP A34005 596 11 opposite opposite JJ A34005 596 12 thereto thereto NN A34005 596 13 will will MD A34005 596 14 be be VB A34005 596 15 Acute acute JJ A34005 596 16 If if IN A34005 596 17 a a DT A34005 596 18 Legg Legg NNP A34005 596 19 be be VB A34005 596 20 greater great JJR A34005 596 21 then then RB A34005 596 22 a a DT A34005 596 23 Quadrant Quadrant NNP A34005 596 24 the the DT A34005 596 25 Angle Angle NNP A34005 596 26 opposite opposite JJ A34005 596 27 thereto thereto NN A34005 596 28 will will MD A34005 596 29 be be VB A34005 596 30 Obtuse Obtuse NNP A34005 596 31 . . . A34005 597 1 All all PDT A34005 597 2 these these DT A34005 597 3 Affections affection NNS A34005 597 4 are be VBP A34005 597 5 Demonstrated demonstrate VBN A34005 597 6 in in IN A34005 597 7 Snellius Snellius NNP A34005 597 8 ; ; : A34005 597 9 I -PRON- PRP A34005 597 10 shall shall MD A34005 597 11 add add VB A34005 597 12 some some DT A34005 597 13 more more JJR A34005 597 14 from from IN A34005 597 15 Clavius Clavius NNP A34005 597 16 de de NNP A34005 597 17 Astrolabio Astrolabio NNP A34005 597 18 , , , A34005 597 19 and and CC A34005 597 20 the the DT A34005 597 21 Lord Lord NNP A34005 597 22 Nepair Nepair NNP A34005 597 23 . . . A34005 598 1 The the DT A34005 598 2 three three CD A34005 598 3 Sides Sides NNPS A34005 598 4 of of IN A34005 598 5 every every DT A34005 598 6 Sphoerical Sphoerical NNP A34005 598 7 Triangle Triangle NNP A34005 598 8 are be VBP A34005 598 9 less less JJR A34005 598 10 then then RB A34005 598 11 a a DT A34005 598 12 Whole Whole NNP A34005 598 13 Circle Circle NNP A34005 598 14 . . . A34005 599 1 In in IN A34005 599 2 an an DT A34005 599 3 Oblique Oblique NNP A34005 599 4 angular angular JJ A34005 599 5 Triangle Triangle NNP A34005 599 6 , , , A34005 599 7 If if IN A34005 599 8 two two CD A34005 599 9 Acute acute JJ A34005 599 10 Angles angle NNS A34005 599 11 be be VB A34005 599 12 equal equal JJ A34005 599 13 the the DT A34005 599 14 Sides side NNS A34005 599 15 opposite opposite JJ A34005 599 16 to to IN A34005 599 17 them -PRON- PRP A34005 599 18 shall shall MD A34005 599 19 be be VB A34005 599 20 lesser less JJR A34005 599 21 then then RB A34005 599 22 Quadrants Quadrants NNPS A34005 599 23 . . . A34005 600 1 Obtuse Obtuse NNP A34005 600 2 Angles Angles NNPS A34005 600 3 be be VB A34005 600 4 equal equal JJ A34005 600 5 the the DT A34005 600 6 Sides side NNS A34005 600 7 opposite opposite JJ A34005 600 8 to to IN A34005 600 9 them -PRON- PRP A34005 600 10 shall shall MD A34005 600 11 be be VB A34005 600 12 greater great JJR A34005 600 13 then then RB A34005 600 14 Quadrants Quadrants NNPS A34005 600 15 . . . A34005 601 1 Reg reg NN A34005 601 2 . . . A34005 602 1 10 10 CD A34005 602 2 ▪ ▪ JJ A34005 602 3 11 11 CD A34005 602 4 , , , A34005 602 5 4 4 CD A34005 602 6 If if IN A34005 602 7 an an DT A34005 602 8 Oblique Oblique NNP A34005 602 9 angular angular JJ A34005 602 10 Triangle Triangle NNP A34005 602 11 , , , A34005 602 12 if if IN A34005 602 13 two two CD A34005 602 14 Acute acute JJ A34005 602 15 Angles Angles NNPS A34005 602 16 be be VB A34005 602 17 unequal unequal JJ A34005 602 18 the the DT A34005 602 19 side side NN A34005 602 20 opposite opposite RB A34005 602 21 to to IN A34005 602 22 the the DT A34005 602 23 lesser less JJR A34005 602 24 shall shall MD A34005 602 25 be be VB A34005 602 26 lesser less JJR A34005 602 27 then then RB A34005 602 28 a a DT A34005 602 29 Quadrant Quadrant NNP A34005 602 30 Obtuse Obtuse NNP A34005 602 31 Angles Angles NNPS A34005 602 32 be be VB A34005 602 33 unequal unequal JJ A34005 602 34 the the DT A34005 602 35 side side NN A34005 602 36 opposite opposite RB A34005 602 37 to to IN A34005 602 38 the the DT A34005 602 39 greater great JJR A34005 602 40 shall shall MD A34005 602 41 be be VB A34005 602 42 greater great JJR A34005 602 43 then then RB A34005 602 44 a a DT A34005 602 45 Quadrant Quadrant NNP A34005 602 46 Reg Reg NNP A34005 602 47 . . . A34005 603 1 12 12 CD A34005 603 2 , , , A34005 603 3 13.4 13.4 CD A34005 603 4 . . . A34005 604 1 An an DT A34005 604 2 Acute acute JJ A34005 604 3 angular angular JJ A34005 604 4 Triangle Triangle NNP A34005 604 5 hath hath NN A34005 604 6 all all PDT A34005 604 7 its -PRON- PRP$ A34005 604 8 Angles Angles NNP A34005 604 9 Acute Acute NNP A34005 604 10 , , , A34005 604 11 and and CC A34005 604 12 each each DT A34005 604 13 side side NN A34005 604 14 less less RBR A34005 604 15 then then RB A34005 604 16 a a DT A34005 604 17 Quadrant Quadrant NNP A34005 604 18 . . . A34005 605 1 Two two CD A34005 605 2 sides side NNS A34005 605 3 of of IN A34005 605 4 any any DT A34005 605 5 Spherical Spherical NNP A34005 605 6 Triangle Triangle NNP A34005 605 7 are be VBP A34005 605 8 greater great JJR A34005 605 9 then then RB A34005 605 10 the the DT A34005 605 11 third third JJ A34005 605 12 . . . A34005 606 1 If if IN A34005 606 2 a a DT A34005 606 3 Sphoerical Sphoerical NNP A34005 606 4 Triangle Triangle NNP A34005 606 5 be be VB A34005 606 6 both both RB A34005 606 7 right right RB A34005 606 8 angled angled JJ A34005 606 9 and and CC A34005 606 10 Quadrantal Quadrantal NNP A34005 606 11 , , , A34005 606 12 the the DT A34005 606 13 sides side NNS A34005 606 14 thereof thereof RB A34005 606 15 are be VBP A34005 606 16 equal equal JJ A34005 606 17 to to IN A34005 606 18 their -PRON- PRP$ A34005 606 19 Opposite Opposite NNP A34005 606 20 Angles Angles NNPS A34005 606 21 . . . A34005 607 1 If if IN A34005 607 2 it -PRON- PRP A34005 607 3 hath hath VBP A34005 607 4 three three CD A34005 607 5 right right JJ A34005 607 6 Angles Angles NNPS A34005 607 7 , , , A34005 607 8 the the DT A34005 607 9 three three CD A34005 607 10 sides side NNS A34005 607 11 of of IN A34005 607 12 it -PRON- PRP A34005 607 13 are be VBP A34005 607 14 Quadrants quadrant NNS A34005 607 15 . . . A34005 608 1 If if IN A34005 608 2 it -PRON- PRP A34005 608 3 have have VBP A34005 608 4 two two CD A34005 608 5 right right JJ A34005 608 6 Angles Angles NNPS A34005 608 7 , , , A34005 608 8 the the DT A34005 608 9 two two CD A34005 608 10 sides side NNS A34005 608 11 subtending subtend VBG A34005 608 12 them -PRON- PRP A34005 608 13 are be VBP A34005 608 14 Quadrants Quadrants NNPS A34005 608 15 and and CC A34005 608 16 the the DT A34005 608 17 contrary contrary NN A34005 608 18 , , , A34005 608 19 and and CC A34005 608 20 if if IN A34005 608 21 it -PRON- PRP A34005 608 22 have have VBP A34005 608 23 one one CD A34005 608 24 right right JJ A34005 608 25 angle angle NN A34005 608 26 , , , A34005 608 27 and and CC A34005 608 28 one one CD A34005 608 29 side side NN A34005 608 30 a a DT A34005 608 31 Quadrant quadrant NN A34005 608 32 , , , A34005 608 33 it -PRON- PRP A34005 608 34 hath hath VBP A34005 608 35 two two CD A34005 608 36 right right JJ A34005 608 37 angles angle NNS A34005 608 38 , , , A34005 608 39 and and CC A34005 608 40 two two CD A34005 608 41 Quadrental quadrental JJ A34005 608 42 sides side NNS A34005 608 43 . . . A34005 609 1 Any any DT A34005 609 2 side side NN A34005 609 3 of of IN A34005 609 4 a a DT A34005 609 5 Sphoerical Sphoerical NNP A34005 609 6 Triangle Triangle NNP A34005 609 7 being be VBG A34005 609 8 continued continue VBN A34005 609 9 , , , A34005 609 10 if if IN A34005 609 11 the the DT A34005 609 12 other other JJ A34005 609 13 sides side NNS A34005 609 14 together together RB A34005 609 15 are be VBP A34005 609 16 equal equal JJ A34005 609 17 to to IN A34005 609 18 A a DT A34005 609 19 Semicircle Semicircle NNP A34005 609 20 the the DT A34005 609 21 outward outward JJ A34005 609 22 angle angle NN A34005 609 23 wil wil NNP A34005 609 24 be be VB A34005 609 25 equal equal JJ A34005 609 26 to to IN A34005 609 27 the the DT A34005 609 28 inward inward JJ A34005 609 29 opposit opposit JJ A34005 609 30 angle angle NN A34005 609 31 on on IN A34005 609 32 the the DT A34005 609 33 side side NN A34005 609 34 continued continue VBD A34005 609 35 . . . A34005 610 1 lesser less JJR A34005 610 2 then then RB A34005 610 3 A a DT A34005 610 4 Semicircle Semicircle NNP A34005 610 5 the the DT A34005 610 6 outward outward JJ A34005 610 7 angle angle NN A34005 610 8 wil wil NNP A34005 610 9 be be VB A34005 610 10 lesser less JJR A34005 610 11 then then RB A34005 610 12 the the DT A34005 610 13 inward inward JJ A34005 610 14 opposit opposit JJ A34005 610 15 angle angle NN A34005 610 16 on on IN A34005 610 17 the the DT A34005 610 18 side side NN A34005 610 19 continued continue VBD A34005 610 20 . . . A34005 611 1 greater great JJR A34005 611 2 then then RB A34005 611 3 A a DT A34005 611 4 Semicircle Semicircle NNP A34005 611 5 the the DT A34005 611 6 outward outward JJ A34005 611 7 angle angle NN A34005 611 8 wil wil NNP A34005 611 9 be be VB A34005 611 10 greater great JJR A34005 611 11 then then RB A34005 611 12 the the DT A34005 611 13 inward inward JJ A34005 611 14 opposit opposit JJ A34005 611 15 angle angle NN A34005 611 16 on on IN A34005 611 17 the the DT A34005 611 18 side side NN A34005 611 19 continued continue VBD A34005 611 20 . . . A34005 612 1 If if IN A34005 612 2 any any DT A34005 612 3 Sphoerical Sphoerical NNP A34005 612 4 Triangle Triangle NNP A34005 612 5 have have VBP A34005 612 6 two two CD A34005 612 7 Sides side NNS A34005 612 8 equal equal JJ A34005 612 9 to to IN A34005 612 10 lesser less JJR A34005 612 11 then then RB A34005 612 12 greater great JJR A34005 612 13 then then RB A34005 612 14 a a DT A34005 612 15 Semicircle Semicircle NNP A34005 612 16 , , , A34005 612 17 the the DT A34005 612 18 two two CD A34005 612 19 angles angle NNS A34005 612 20 at at IN A34005 612 21 the the DT A34005 612 22 Base Base NNP A34005 612 23 or or CC A34005 612 24 third third JJ A34005 612 25 Side side NN A34005 612 26 will will MD A34005 612 27 be be VB A34005 612 28 equal equal JJ A34005 612 29 to to IN A34005 612 30 lesser less JJR A34005 612 31 then then RB A34005 612 32 greater great JJR A34005 612 33 then then RB A34005 612 34 two two CD A34005 612 35 right right JJ A34005 612 36 Angles angle NNS A34005 612 37 . . . A34005 613 1 In in IN A34005 613 2 every every DT A34005 613 3 right right NN A34005 613 4 angled angle VBN A34005 613 5 Spherical Spherical NNP A34005 613 6 Triangle Triangle NNP A34005 613 7 having have VBG A34005 613 8 no no DT A34005 613 9 Quadrantal Quadrantal NNP A34005 613 10 Side Side NNP A34005 613 11 , , , A34005 613 12 the the DT A34005 613 13 angle angle NN A34005 613 14 Opposite opposite RB A34005 613 15 to to IN A34005 613 16 that that DT A34005 613 17 Side side NN A34005 613 18 that that DT A34005 613 19 is be VBZ A34005 613 20 less less JJR A34005 613 21 then then RB A34005 613 22 a a DT A34005 613 23 Quadrant Quadrant NNP A34005 613 24 is be VBZ A34005 613 25 Acute acute JJ A34005 613 26 , , , A34005 613 27 and and CC A34005 613 28 greater great JJR A34005 613 29 then then RB A34005 613 30 the the DT A34005 613 31 said say VBN A34005 613 32 Side side NN A34005 613 33 ; ; : A34005 613 34 But but CC A34005 613 35 that that DT A34005 613 36 angle angle NN A34005 613 37 which which WDT A34005 613 38 is be VBZ A34005 613 39 Opposite opposite JJ A34005 613 40 to to IN A34005 613 41 the the DT A34005 613 42 Side side NN A34005 613 43 , , , A34005 613 44 that that RB A34005 613 45 is be VBZ A34005 613 46 greater great JJR A34005 613 47 then then RB A34005 613 48 a a DT A34005 613 49 Quadrant Quadrant NNP A34005 613 50 , , , A34005 613 51 is be VBZ A34005 613 52 Obtuse Obtuse NNP A34005 613 53 ; ; : A34005 613 54 and and CC A34005 613 55 less less RBR A34005 613 56 then then RB A34005 613 57 the the DT A34005 613 58 said say VBN A34005 613 59 Side side NN A34005 613 60 . . . A34005 614 1 In in IN A34005 614 2 every every DT A34005 614 3 right right NN A34005 614 4 angled angle VBN A34005 614 5 Spherical Spherical NNP A34005 614 6 Triangle Triangle NNP A34005 614 7 all all PDT A34005 614 8 the the DT A34005 614 9 three three CD A34005 614 10 angles angle NNS A34005 614 11 are be VBP A34005 614 12 less less JJR A34005 614 13 then then RB A34005 614 14 4 4 CD A34005 614 15 right right JJ A34005 614 16 angles angle NNS A34005 614 17 , , , A34005 614 18 that that RB A34005 614 19 is be VBZ A34005 614 20 the the DT A34005 614 21 two two CD A34005 614 22 Oblique oblique JJ A34005 614 23 angles angle NNS A34005 614 24 are be VBP A34005 614 25 less less JJR A34005 614 26 then then RB A34005 614 27 3 3 CD A34005 614 28 right right JJ A34005 614 29 angles angle NNS A34005 614 30 , , , A34005 614 31 or or CC A34005 614 32 270d 270d CD A34005 614 33 . . . A34005 615 1 In in IN A34005 615 2 a a DT A34005 615 3 right right NN A34005 615 4 angled angle VBN A34005 615 5 equicrural equicrural JJ A34005 615 6 Triangle Triangle NNP A34005 615 7 , , , A34005 615 8 if if IN A34005 615 9 the the DT A34005 615 10 two two CD A34005 615 11 equal equal JJ A34005 615 12 angles angle NNS A34005 615 13 be be VB A34005 615 14 Acute acute JJ A34005 615 15 , , , A34005 615 16 either either DT A34005 615 17 of of IN A34005 615 18 them -PRON- PRP A34005 615 19 will will MD A34005 615 20 be be VB A34005 615 21 greater great JJR A34005 615 22 then then RB A34005 615 23 45d 45d CD A34005 615 24 , , , A34005 615 25 but but CC A34005 615 26 if if IN A34005 615 27 Obtuse Obtuse NNP A34005 615 28 less less RBR A34005 615 29 then then RB A34005 615 30 135d 135d NNS A34005 615 31 . . . A34005 616 1 In in IN A34005 616 2 every every DT A34005 616 3 right right NN A34005 616 4 angled angle VBN A34005 616 5 Sphoerical Sphoerical NNP A34005 616 6 Triangle Triangle NNP A34005 616 7 either either CC A34005 616 8 of of IN A34005 616 9 the the DT A34005 616 10 Oblique Oblique NNP A34005 616 11 angles angle NNS A34005 616 12 is be VBZ A34005 616 13 greater great JJR A34005 616 14 then then RB A34005 616 15 the the DT A34005 616 16 Complement Complement NNP A34005 616 17 of of IN A34005 616 18 the the DT A34005 616 19 other other JJ A34005 616 20 , , , A34005 616 21 but but CC A34005 616 22 less less JJR A34005 616 23 then then RB A34005 616 24 the the DT A34005 616 25 difference difference NN A34005 616 26 of of IN A34005 616 27 the the DT A34005 616 28 same same JJ A34005 616 29 Complement Complement NNP A34005 616 30 from from IN A34005 616 31 a a DT A34005 616 32 Semicircle Semicircle NNP A34005 616 33 . . . A34005 617 1 Two two CD A34005 617 2 angles angle NNS A34005 617 3 of of IN A34005 617 4 any any DT A34005 617 5 Sphoerical Sphoerical NNP A34005 617 6 Triangle Triangle NNP A34005 617 7 are be VBP A34005 617 8 greater great JJR A34005 617 9 then then RB A34005 617 10 the the DT A34005 617 11 difference difference NN A34005 617 12 between between IN A34005 617 13 the the DT A34005 617 14 third third JJ A34005 617 15 angle angle NN A34005 617 16 and and CC A34005 617 17 a a DT A34005 617 18 Semicircle Semicircle NNP A34005 617 19 , , , A34005 617 20 and and CC A34005 617 21 therefore therefore RB A34005 617 22 any any DT A34005 617 23 side side NN A34005 617 24 being be VBG A34005 617 25 continued continue VBN A34005 617 26 , , , A34005 617 27 the the DT A34005 617 28 outward outward JJ A34005 617 29 angle angle NN A34005 617 30 is be VBZ A34005 617 31 less less JJR A34005 617 32 then then RB A34005 617 33 the the DT A34005 617 34 two two CD A34005 617 35 inward inward JJ A34005 617 36 opposite opposite JJ A34005 617 37 angles angle NNS A34005 617 38 . . . A34005 618 1 The the DT A34005 618 2 sum sum NN A34005 618 3 of of IN A34005 618 4 the the DT A34005 618 5 three three CD A34005 618 6 Angles Angles NNPS A34005 618 7 of of IN A34005 618 8 a a DT A34005 618 9 Sphoerical Sphoerical NNP A34005 618 10 Triangle Triangle NNP A34005 618 11 is be VBZ A34005 618 12 greater great JJR A34005 618 13 then then RB A34005 618 14 two two CD A34005 618 15 right right JJ A34005 618 16 angles angle NNS A34005 618 17 , , , A34005 618 18 but but CC A34005 618 19 less less JJR A34005 618 20 then then RB A34005 618 21 6 6 CD A34005 618 22 . . . A34005 619 1 In in IN A34005 619 2 Spherical Spherical NNP A34005 619 3 Triangles Triangles NNPS A34005 619 4 , , , A34005 619 5 that that DT A34005 619 6 angle angle NN A34005 619 7 which which WDT A34005 619 8 of of IN A34005 619 9 all all PDT A34005 619 10 the the DT A34005 619 11 rest rest NN A34005 619 12 is be VBZ A34005 619 13 nearest near JJS A34005 619 14 in in IN A34005 619 15 quantity quantity NN A34005 619 16 to to IN A34005 619 17 a a DT A34005 619 18 Quadrant Quadrant NNP A34005 619 19 , , , A34005 619 20 and and CC A34005 619 21 the the DT A34005 619 22 side side NN A34005 619 23 subtending subtend VBG A34005 619 24 it -PRON- PRP A34005 619 25 are be VBP A34005 619 26 doubtful doubtful JJ A34005 619 27 , , , A34005 619 28 Whether whether IN A34005 619 29 they -PRON- PRP A34005 619 30 be be VBP A34005 619 31 of of IN A34005 619 32 the the DT A34005 619 33 same same JJ A34005 619 34 , , , A34005 619 35 or or CC A34005 619 36 of of IN A34005 619 37 a a DT A34005 619 38 different different JJ A34005 619 39 affection affection NN A34005 619 40 , , , A34005 619 41 unless unless IN A34005 619 42 foreknown foreknown NN A34005 619 43 , , , A34005 619 44 or or CC A34005 619 45 found find VBN A34005 619 46 by by IN A34005 619 47 Calculation Calculation NNP A34005 619 48 ; ; : A34005 619 49 But but CC A34005 619 50 the the DT A34005 619 51 other other JJ A34005 619 52 two two CD A34005 619 53 more more JJR A34005 619 54 Oblique oblique JJ A34005 619 55 angles angle NNS A34005 619 56 are be VBP A34005 619 57 each each DT A34005 619 58 of of IN A34005 619 59 them -PRON- PRP A34005 619 60 of of IN A34005 619 61 the the DT A34005 619 62 same same JJ A34005 619 63 kind kind NN A34005 619 64 as as IN A34005 619 65 their -PRON- PRP$ A34005 619 66 Opposite Opposite NNP A34005 619 67 Sides Sides NNPS A34005 619 68 , , , A34005 619 69 which which WDT A34005 619 70 Mr Mr NNP A34005 619 71 Norwood Norwood NNP A34005 619 72 thus thus RB A34005 619 73 propounds propound VBZ A34005 619 74 , , , A34005 619 75 Two two CD A34005 619 76 Angles angle NNS A34005 619 77 of of IN A34005 619 78 a a DT A34005 619 79 Spherical Spherical NNP A34005 619 80 Triangle Triangle NNP A34005 619 81 , , , A34005 619 82 shall shall MD A34005 619 83 be be VB A34005 619 84 of of IN A34005 619 85 the the DT A34005 619 86 same same JJ A34005 619 87 affection affection NN A34005 619 88 as as IN A34005 619 89 their -PRON- PRP$ A34005 619 90 Opposite Opposite NNP A34005 619 91 Sides Sides NNPS A34005 619 92 , , , A34005 619 93 and and CC A34005 619 94 to to IN A34005 619 95 this this DT A34005 619 96 purpose purpose NN A34005 619 97 , , , A34005 619 98 If if IN A34005 619 99 any any DT A34005 619 100 Side side NN A34005 619 101 of of IN A34005 619 102 a a DT A34005 619 103 Triangle Triangle NNP A34005 619 104 be be VB A34005 619 105 nearer nearer IN A34005 619 106 to to IN A34005 619 107 a a DT A34005 619 108 Quadrant Quadrant NNP A34005 619 109 then then RB A34005 619 110 its -PRON- PRP$ A34005 619 111 opposite opposite JJ A34005 619 112 Angle Angle NNP A34005 619 113 , , , A34005 619 114 two two CD A34005 619 115 Angles angle NNS A34005 619 116 of of IN A34005 619 117 that that DT A34005 619 118 Triangle Triangle NNP A34005 619 119 ( ( -LRB- A34005 619 120 not not RB A34005 619 121 universally universally RB A34005 619 122 any any DT A34005 619 123 two two CD A34005 619 124 ) ) -RRB- A34005 619 125 shall shall MD A34005 619 126 be be VB A34005 619 127 of of IN A34005 619 128 the the DT A34005 619 129 same same JJ A34005 619 130 kind kind NN A34005 619 131 , , , A34005 619 132 and and CC A34005 619 133 the the DT A34005 619 134 third third JJ A34005 619 135 greater great JJR A34005 619 136 then then RB A34005 619 137 a a DT A34005 619 138 Quadrant Quadrant NNP A34005 619 139 . . . A34005 620 1 But but CC A34005 620 2 if if IN A34005 620 3 any any DT A34005 620 4 Angle angle NN A34005 620 5 of of IN A34005 620 6 a a DT A34005 620 7 Triangle Triangle NNP A34005 620 8 be be VB A34005 620 9 nearer nearer IN A34005 620 10 to to IN A34005 620 11 a a DT A34005 620 12 Quadrant Quadrant NNP A34005 620 13 then then RB A34005 620 14 its -PRON- PRP$ A34005 620 15 opposite opposite JJ A34005 620 16 side side NN A34005 620 17 , , , A34005 620 18 two two CD A34005 620 19 Sides side NNS A34005 620 20 of of IN A34005 620 21 that that DT A34005 620 22 Triangle Triangle NNP A34005 620 23 ( ( -LRB- A34005 620 24 not not RB A34005 620 25 universally universally RB A34005 620 26 any any DT A34005 620 27 two two CD A34005 620 28 ) ) -RRB- A34005 620 29 shall shall MD A34005 620 30 be be VB A34005 620 31 of of IN A34005 620 32 the the DT A34005 620 33 same same JJ A34005 620 34 kind kind NN A34005 620 35 , , , A34005 620 36 and and CC A34005 620 37 the the DT A34005 620 38 third third JJ A34005 620 39 less less JJR A34005 620 40 then then RB A34005 620 41 a a DT A34005 620 42 Quadrant Quadrant NNP A34005 620 43 . . . A34005 621 1 In in IN A34005 621 2 any any DT A34005 621 3 Sphoerical Sphoerical NNP A34005 621 4 Triangle Triangle NNP A34005 621 5 , , , A34005 621 6 if if IN A34005 621 7 one one CD A34005 621 8 of of IN A34005 621 9 the the DT A34005 621 10 angles angle NNS A34005 621 11 be be VB A34005 621 12 substracted substracte VBN A34005 621 13 from from IN A34005 621 14 a a DT A34005 621 15 Semicircle Semicircle NNP A34005 621 16 , , , A34005 621 17 and and CC A34005 621 18 the the DT A34005 621 19 residue residue NN A34005 621 20 so so RB A34005 621 21 found find VBD A34005 621 22 substracted substracte VBN A34005 621 23 from from IN A34005 621 24 a a DT A34005 621 25 Whole Whole NNP A34005 621 26 Circle Circle NNP A34005 621 27 , , , A34005 621 28 the the DT A34005 621 29 Ark Ark NNP A34005 621 30 found find VBD A34005 621 31 by by IN A34005 621 32 this this DT A34005 621 33 latter latter JJ A34005 621 34 Substraction Substraction NNP A34005 621 35 , , , A34005 621 36 will will MD A34005 621 37 be be VB A34005 621 38 greater great JJR A34005 621 39 then then RB A34005 621 40 the the DT A34005 621 41 Sum Sum NNP A34005 621 42 of of IN A34005 621 43 the the DT A34005 621 44 other other JJ A34005 621 45 two two CD A34005 621 46 Angles angle NNS A34005 621 47 . . . A34005 622 1 In in IN A34005 622 2 every every DT A34005 622 3 Sphoerical Sphoerical NNP A34005 622 4 Triangle Triangle NNP A34005 622 5 the the DT A34005 622 6 difference difference NN A34005 622 7 between between IN A34005 622 8 the the DT A34005 622 9 sum sum NN A34005 622 10 of of IN A34005 622 11 two two CD A34005 622 12 angles angle NNS A34005 622 13 howsoever howsoever NN A34005 622 14 taken take VBN A34005 622 15 , , , A34005 622 16 and and CC A34005 622 17 a a DT A34005 622 18 whole whole JJ A34005 622 19 Circle Circle NNP A34005 622 20 or or CC A34005 622 21 4 4 CD A34005 622 22 right right JJ A34005 622 23 angles angle NNS A34005 622 24 is be VBZ A34005 622 25 greater great JJR A34005 622 26 then then RB A34005 622 27 the the DT A34005 622 28 difference difference NN A34005 622 29 between between IN A34005 622 30 the the DT A34005 622 31 other other JJ A34005 622 32 Angle Angle NNP A34005 622 33 and and CC A34005 622 34 a a DT A34005 622 35 Semicircle Semicircle NNP A34005 622 36 ; ; : A34005 622 37 The the DT A34005 622 38 demonstration demonstration NN A34005 622 39 of of IN A34005 622 40 most most JJS A34005 622 41 of of IN A34005 622 42 these these DT A34005 622 43 Affections affection NNS A34005 622 44 are be VBP A34005 622 45 in in IN A34005 622 46 Clavins Clavins NNP A34005 622 47 his -PRON- PRP$ A34005 622 48 Comment comment NN A34005 622 49 on on IN A34005 622 50 Theodosius Theodosius NNP A34005 622 51 , , , A34005 622 52 or or CC A34005 622 53 in in IN A34005 622 54 his -PRON- PRP$ A34005 622 55 Book Book NNP A34005 622 56 de de NNP A34005 622 57 Astrolabio Astrolabio NNP A34005 622 58 , , , A34005 622 59 where where WRB A34005 622 60 shewing shew VBG A34005 622 61 how how WRB A34005 622 62 to to TO A34005 622 63 project project VB A34005 622 64 in in IN A34005 622 65 Plano Plano NNP A34005 622 66 all all PDT A34005 622 67 the the DT A34005 622 68 Cases case NNS A34005 622 69 of of IN A34005 622 70 Sphoerical Sphoerical NNP A34005 622 71 Triangles Triangles NNPS A34005 622 72 , , , A34005 622 73 and and CC A34005 622 74 so so RB A34005 622 75 to to TO A34005 622 76 measure measure VB A34005 622 77 the the DT A34005 622 78 sides side NNS A34005 622 79 and and CC A34005 622 80 Angles angle NNS A34005 622 81 , , , A34005 622 82 he -PRON- PRP A34005 622 83 delivers deliver VBZ A34005 622 84 these these DT A34005 622 85 Theorems theorem NNS A34005 622 86 to to TO A34005 622 87 prevent prevent VB A34005 622 88 such such JJ A34005 622 89 Fictitious Fictitious NNP A34005 622 90 Triangles Triangles NNP A34005 622 91 as as IN A34005 622 92 can can MD A34005 622 93 not not RB A34005 622 94 exist exist VB A34005 622 95 in in IN A34005 622 96 the the DT A34005 622 97 Sphere Sphere NNP A34005 622 98 . . . A34005 623 1 The the DT A34005 623 2 16 16 CD A34005 623 3 Cases case NNS A34005 623 4 of of IN A34005 623 5 right right NN A34005 623 6 Angled Angled NNP A34005 623 7 Sphoerical Sphoerical NNP A34005 623 8 Triangles Triangles NNPS A34005 623 9 , , , A34005 623 10 Translated translate VBN A34005 623 11 from from IN A34005 623 12 Clavius Clavius NNP A34005 623 13 de de NNP A34005 623 14 Astrolabio Astrolabio NNP A34005 623 15 . . . A34005 624 1 1 1 LS A34005 624 2 . . . A34005 625 1 To to TO A34005 625 2 find find VB A34005 625 3 an an DT A34005 625 4 Angle angle NN A34005 625 5 . . . A34005 626 1 Given give VBN A34005 626 2 the the DT A34005 626 3 Hipotenusal Hipotenusal NNP A34005 626 4 and and CC A34005 626 5 side side NN A34005 626 6 opposite opposite RB A34005 626 7 to to IN A34005 626 8 the the DT A34005 626 9 Angle Angle NNP A34005 626 10 sought seek VBN A34005 626 11 . . . A34005 627 1 As as IN A34005 627 2 the the DT A34005 627 3 Sine Sine NNP A34005 627 4 of of IN A34005 627 5 the the DT A34005 627 6 Hipotenusal Hipotenusal NNP A34005 627 7 , , , A34005 627 8 To to IN A34005 627 9 Radius Radius NNP A34005 627 10 : : : A34005 627 11 So so CC A34005 627 12 the the DT A34005 627 13 Sine Sine NNP A34005 627 14 of of IN A34005 627 15 the the DT A34005 627 16 given give VBN A34005 627 17 side side NN A34005 627 18 To to IN A34005 627 19 the the DT A34005 627 20 Sine Sine NNP A34005 627 21 of of IN A34005 627 22 the the DT A34005 627 23 Angle Angle NNP A34005 627 24 sought seek VBD A34005 627 25 . . . A34005 628 1 Or or CC A34005 628 2 , , , A34005 628 3 As as IN A34005 628 4 Radius Radius NNP A34005 628 5 , , , A34005 628 6 To to TO A34005 628 7 sine sine VB A34005 628 8 of of IN A34005 628 9 the the DT A34005 628 10 Hipotenusal Hipotenusal NNP A34005 628 11 : : : A34005 628 12 So so CC A34005 628 13 the the DT A34005 628 14 Cosecant Cosecant NNP A34005 628 15 of of IN A34005 628 16 the the DT A34005 628 17 side side NN A34005 628 18 , , , A34005 628 19 To to IN A34005 628 20 the the DT A34005 628 21 Cosecant Cosecant NNP A34005 628 22 of of IN A34005 628 23 the the DT A34005 628 24 Angle Angle NNP A34005 628 25 . . . A34005 629 1 As as IN A34005 629 2 Radius Radius NNP A34005 629 3 , , , A34005 629 4 To to TO A34005 629 5 sine sine VB A34005 629 6 of of IN A34005 629 7 the the DT A34005 629 8 side side NN A34005 629 9 : : : A34005 629 10 So so RB A34005 629 11 Cosecant Cosecant NNP A34005 629 12 of of IN A34005 629 13 the the DT A34005 629 14 Hipotenusal Hipotenusal NNP A34005 629 15 , , , A34005 629 16 To to TO A34005 629 17 sine sine VB A34005 629 18 of of IN A34005 629 19 the the DT A34005 629 20 angle angle NN A34005 629 21 . . . A34005 630 1 As as IN A34005 630 2 Cosecant Cosecant NNP A34005 630 3 of of IN A34005 630 4 the the DT A34005 630 5 side side NN A34005 630 6 , , , A34005 630 7 To to IN A34005 630 8 Radius Radius NNP A34005 630 9 : : : A34005 630 10 So so RB A34005 630 11 Cosecant Cosecant NNP A34005 630 12 of of IN A34005 630 13 the the DT A34005 630 14 Hipotenusal Hipotenusal NNP A34005 630 15 , , , A34005 630 16 To to IN A34005 630 17 Cosecant Cosecant NNP A34005 630 18 of of IN A34005 630 19 the the DT A34005 630 20 angle angle NN A34005 630 21 . . . A34005 631 1 As as IN A34005 631 2 Cosecant Cosecant NNP A34005 631 3 Hipotenusal Hipotenusal NNP A34005 631 4 , , , A34005 631 5 To to IN A34005 631 6 Radius Radius NNP A34005 631 7 : : : A34005 631 8 So so RB A34005 631 9 Cosecant cosecant JJ A34005 631 10 of of IN A34005 631 11 the the DT A34005 631 12 side side NN A34005 631 13 , , , A34005 631 14 To to IN A34005 631 15 Cosecant Cosecant NNP A34005 631 16 of of IN A34005 631 17 the the DT A34005 631 18 angle angle NN A34005 631 19 . . . A34005 632 1 As as IN A34005 632 2 the the DT A34005 632 3 Sine Sine NNP A34005 632 4 of of IN A34005 632 5 the the DT A34005 632 6 side side NN A34005 632 7 to to IN A34005 632 8 Radius radius NN A34005 632 9 : : : A34005 632 10 So so RB A34005 632 11 sine sine NN A34005 632 12 of of IN A34005 632 13 the the DT A34005 632 14 Hipotenusal Hipotenusal NNP A34005 632 15 , , , A34005 632 16 To to IN A34005 632 17 Cosecant Cosecant NNP A34005 632 18 of of IN A34005 632 19 the the DT A34005 632 20 Angle Angle NNP A34005 632 21 . . . A34005 633 1 The the DT A34005 633 2 Angle Angle NNP A34005 633 3 found find VBN A34005 633 4 will will MD A34005 633 5 be be VB A34005 633 6 Acute acute JJ A34005 633 7 if if IN A34005 633 8 the the DT A34005 633 9 Side side NN A34005 633 10 given give VBN A34005 633 11 be be VB A34005 633 12 less less JJR A34005 633 13 then then RB A34005 633 14 a a DT A34005 633 15 Quadrant Quadrant NNP A34005 633 16 , , , A34005 633 17 Obtuse Obtuse NNP A34005 633 18 if if IN A34005 633 19 greater great JJR A34005 633 20 . . . A34005 634 1 2 2 LS A34005 634 2 . . . A34005 635 1 To to TO A34005 635 2 find find VB A34005 635 3 an an DT A34005 635 4 Angle angle NN A34005 635 5 . . . A34005 636 1 Given give VBN A34005 636 2 the the DT A34005 636 3 Hipotenusal Hipotenusal NNP A34005 636 4 and and CC A34005 636 5 side side NN A34005 636 6 adjacent adjacent JJ A34005 636 7 to to IN A34005 636 8 the the DT A34005 636 9 Angle Angle NNP A34005 636 10 . . . A34005 637 1 As as IN A34005 637 2 Radius Radius NNP A34005 637 3 , , , A34005 637 4 To to IN A34005 637 5 Cotangent Cotangent NNP A34005 637 6 Hipotenusal Hipotenusal NNP A34005 637 7 : : : A34005 637 8 So so RB A34005 637 9 tangent tangent NN A34005 637 10 of of IN A34005 637 11 the the DT A34005 637 12 side side NN A34005 637 13 , , , A34005 637 14 To to IN A34005 637 15 Cosine Cosine NNP A34005 637 16 of of IN A34005 637 17 the the DT A34005 637 18 angle angle NN A34005 637 19 . . . A34005 638 1 As as IN A34005 638 2 tangent tangent NN A34005 638 3 Hipotenusal Hipotenusal NNP A34005 638 4 . . . A34005 639 1 To to IN A34005 639 2 Radius Radius NNP A34005 639 3 , , , A34005 639 4 So so RB A34005 639 5 tangent tangent NN A34005 639 6 of of IN A34005 639 7 the the DT A34005 639 8 Side side NN A34005 639 9 . . . A34005 640 1 To To NNP A34005 640 2 Co co NN A34005 640 3 - - NN A34005 640 4 sine sine NN A34005 640 5 of of IN A34005 640 6 the the DT A34005 640 7 angle angle NN A34005 640 8 . . . A34005 641 1 As as IN A34005 641 2 the the DT A34005 641 3 Cotangent Cotangent NNP A34005 641 4 of of IN A34005 641 5 the the DT A34005 641 6 side side NN A34005 641 7 , , , A34005 641 8 To to IN A34005 641 9 Radius Radius NNP A34005 641 10 : : : A34005 641 11 So so CC A34005 641 12 Cotangent Cotangent NNP A34005 641 13 Hipotenuse Hipotenuse NNP A34005 641 14 , , , A34005 641 15 To to IN A34005 641 16 Cosine Cosine NNP A34005 641 17 of of IN A34005 641 18 the the DT A34005 641 19 angle angle NN A34005 641 20 . . . A34005 642 1 As as IN A34005 642 2 Radius Radius NNP A34005 642 3 , , , A34005 642 4 To to IN A34005 642 5 Cotangent Cotangent NNP A34005 642 6 side side NN A34005 642 7 : : : A34005 642 8 So so RB A34005 642 9 tangent tangent NN A34005 642 10 Hipotenusa Hipotenusa NNP A34005 642 11 , , , A34005 642 12 To to IN A34005 642 13 Secant Secant NNP A34005 642 14 of of IN A34005 642 15 the the DT A34005 642 16 angle angle NN A34005 642 17 . . . A34005 643 1 As as IN A34005 643 2 Cotangent Cotangent NNP A34005 643 3 Hipotenusal Hipotenusal NNP A34005 643 4 : : : A34005 643 5 To to IN A34005 643 6 Radius radius NN A34005 643 7 : : : A34005 643 8 So so RB A34005 643 9 Cotangent Cotangent NNP A34005 643 10 side side NN A34005 643 11 , , , A34005 643 12 To to IN A34005 643 13 Secant Secant NNP A34005 643 14 of of IN A34005 643 15 the the DT A34005 643 16 angle angle NN A34005 643 17 . . . A34005 644 1 As as IN A34005 644 2 the the DT A34005 644 3 tangent tangent NN A34005 644 4 of of IN A34005 644 5 the the DT A34005 644 6 side side NN A34005 644 7 , , , A34005 644 8 To to IN A34005 644 9 Radius Radius NNP A34005 644 10 : : : A34005 644 11 So so RB A34005 644 12 tangent tangent JJ A34005 644 13 Hipot Hipot NNP A34005 644 14 : : : A34005 644 15 To to IN A34005 644 16 Secant Secant NNP A34005 644 17 of of IN A34005 644 18 the the DT A34005 644 19 angle angle NN A34005 644 20 . . . A34005 645 1 The the DT A34005 645 2 Angle Angle NNP A34005 645 3 found find VBN A34005 645 4 will will MD A34005 645 5 be be VB A34005 645 6 Acute acute JJ A34005 645 7 , , , A34005 645 8 if if IN A34005 645 9 both both DT A34005 645 10 the the DT A34005 645 11 Hipotenusal Hipotenusal NNP A34005 645 12 and and CC A34005 645 13 the the DT A34005 645 14 given give VBN A34005 645 15 side side NN A34005 645 16 be be VB A34005 645 17 greater great JJR A34005 645 18 , , , A34005 645 19 or or CC A34005 645 20 less less JJR A34005 645 21 then then RB A34005 645 22 a a DT A34005 645 23 Quadrant Quadrant NNP A34005 645 24 , , , A34005 645 25 but but CC A34005 645 26 Obtuse Obtuse NNP A34005 645 27 if if IN A34005 645 28 one one CD A34005 645 29 of of IN A34005 645 30 them -PRON- PRP A34005 645 31 be be VB A34005 645 32 greater great JJR A34005 645 33 , , , A34005 645 34 and and CC A34005 645 35 the the DT A34005 645 36 other other JJ A34005 645 37 less less RBR A34005 645 38 . . . A34005 646 1 3 3 LS A34005 646 2 . . . A34005 647 1 To to TO A34005 647 2 find find VB A34005 647 3 an an DT A34005 647 4 Angle angle NN A34005 647 5 . . . A34005 648 1 Given give VBN A34005 648 2 the the DT A34005 648 3 Hipotenusal Hipotenusal NNP A34005 648 4 , , , A34005 648 5 and and CC A34005 648 6 either either DT A34005 648 7 of of IN A34005 648 8 the the DT A34005 648 9 Oblique Oblique NNP A34005 648 10 Angles Angles NNP A34005 648 11 As as IN A34005 648 12 the the DT A34005 648 13 Radius Radius NNP A34005 648 14 , , , A34005 648 15 To to IN A34005 648 16 Cosine Cosine NNP A34005 648 17 Hip Hip NNP A34005 648 18 : : : A34005 648 19 ∷ ∷ '' A34005 648 20 So so RB A34005 648 21 Tangent Tangent NNP A34005 648 22 of of IN A34005 648 23 the the DT A34005 648 24 given give VBN A34005 648 25 angle angle NN A34005 648 26 : : : A34005 648 27 To to IN A34005 648 28 the the DT A34005 648 29 Cotang Cotang NNP A34005 648 30 of of IN A34005 648 31 sought seek VBN A34005 648 32 angle angle NN A34005 648 33 As as IN A34005 648 34 the the DT A34005 648 35 Cotangent Cotangent NNP A34005 648 36 of of IN A34005 648 37 the the DT A34005 648 38 given give VBN A34005 648 39 angle angle NN A34005 648 40 : : : A34005 648 41 To to IN A34005 648 42 Radius Radius NNP A34005 648 43 ∷ ∷ NNP A34005 648 44 So so RB A34005 648 45 Cosine Cosine NNP A34005 648 46 of of IN A34005 648 47 : : : A34005 648 48 the the DT A34005 648 49 Hipot Hipot NNP A34005 648 50 : : : A34005 648 51 To to IN A34005 648 52 the the DT A34005 648 53 Cotang Cotang NNP A34005 648 54 of of IN A34005 648 55 the the DT A34005 648 56 sought sought JJ A34005 648 57 angle angle NN A34005 648 58 . . . A34005 649 1 As as IN A34005 649 2 the the DT A34005 649 3 Cosine Cosine NNP A34005 649 4 of of IN A34005 649 5 the the DT A34005 649 6 Hipot Hipot NNP A34005 649 7 : : : A34005 649 8 To to IN A34005 649 9 Radius Radius NNP A34005 649 10 ∷ ∷ NNP A34005 649 11 So so RB A34005 649 12 Cotang Cotang NNP A34005 649 13 : : : A34005 649 14 of of IN A34005 649 15 the the DT A34005 649 16 given give VBN A34005 649 17 angle angle NN A34005 649 18 : : : A34005 649 19 To to IN A34005 649 20 the the DT A34005 649 21 tang tang NNP A34005 649 22 . . . A34005 650 1 of of IN A34005 650 2 the the DT A34005 650 3 ang ang NNP A34005 650 4 : : : A34005 650 5 sought seek VBN A34005 650 6 As as IN A34005 650 7 the the DT A34005 650 8 Radius Radius NNP A34005 650 9 , , , A34005 650 10 To to IN A34005 650 11 Secant Secant NNP A34005 650 12 Hip Hip NNP A34005 650 13 : : : A34005 650 14 ∷ ∷ '' A34005 650 15 So so RB A34005 650 16 Cotangent Cotangent NNP A34005 650 17 of of IN A34005 650 18 the the DT A34005 650 19 given give VBN A34005 650 20 angle angle NN A34005 650 21 : : : A34005 650 22 To to IN A34005 650 23 the the DT A34005 650 24 tang tang NNP A34005 650 25 of of IN A34005 650 26 the the DT A34005 650 27 angle angle NN A34005 650 28 sought seek VBN A34005 650 29 As as IN A34005 650 30 Secant Secant NNP A34005 650 31 of of IN A34005 650 32 the the DT A34005 650 33 Hipotenusal Hipotenusal NNP A34005 650 34 : : : A34005 650 35 To to IN A34005 650 36 Radius Radius NNP A34005 650 37 ∷ ∷ NNP A34005 650 38 So so IN A34005 650 39 the the DT A34005 650 40 tangent tangent NN A34005 650 41 of of IN A34005 650 42 the the DT A34005 650 43 angle angle NN A34005 650 44 given give VBN A34005 650 45 : : : A34005 650 46 To to IN A34005 650 47 the the DT A34005 650 48 Cotan Cotan NNP A34005 650 49 : : : A34005 650 50 of of IN A34005 650 51 the the DT A34005 650 52 angle angle NN A34005 650 53 sought seek VBN A34005 650 54 As as IN A34005 650 55 the the DT A34005 650 56 tangent tangent NN A34005 650 57 of of IN A34005 650 58 the the DT A34005 650 59 given give VBN A34005 650 60 angle angle NN A34005 650 61 : : : A34005 650 62 To to IN A34005 650 63 Radius Radius NNP A34005 650 64 ∷ ∷ NNP A34005 650 65 So so RB A34005 650 66 Secant secant NN A34005 650 67 of of IN A34005 650 68 the the DT A34005 650 69 Hipotenusal Hipotenusal NNP A34005 650 70 : : : A34005 650 71 To to TO A34005 650 72 tangent tangent NN A34005 650 73 of of IN A34005 650 74 the the DT A34005 650 75 angle angle NN A34005 650 76 sought seek VBN A34005 650 77 . . . A34005 651 1 The the DT A34005 651 2 angle angle NN A34005 651 3 found find VBN A34005 651 4 will will MD A34005 651 5 be be VB A34005 651 6 Acute acute JJ A34005 651 7 , , , A34005 651 8 if if IN A34005 651 9 the the DT A34005 651 10 Hipotenusal Hipotenusal NNP A34005 651 11 be be VB A34005 651 12 less less JJR A34005 651 13 then then RB A34005 651 14 a a DT A34005 651 15 Quadrant Quadrant NNP A34005 651 16 , , , A34005 651 17 and and CC A34005 651 18 the the DT A34005 651 19 given give VBN A34005 651 20 angle angle NN A34005 651 21 Acute Acute NNP A34005 651 22 ; ; : A34005 651 23 or or CC A34005 651 24 if if IN A34005 651 25 the the DT A34005 651 26 Hipotenusal Hipotenusal NNP A34005 651 27 be be VB A34005 651 28 greater great JJR A34005 651 29 then then RB A34005 651 30 a a DT A34005 651 31 Quadrant Quadrant NNP A34005 651 32 , , , A34005 651 33 and and CC A34005 651 34 the the DT A34005 651 35 given give VBN A34005 651 36 angle angle NN A34005 651 37 Obtuse Obtuse NNP A34005 651 38 ; ; : A34005 651 39 And and CC A34005 651 40 the the DT A34005 651 41 said said JJ A34005 651 42 angle angle NN A34005 651 43 will will MD A34005 651 44 be be VB A34005 651 45 Obtuse Obtuse NNP A34005 651 46 , , , A34005 651 47 if if IN A34005 651 48 the the DT A34005 651 49 Hipotenusal Hipotenusal NNP A34005 651 50 be be VB A34005 651 51 less less JJR A34005 651 52 then then RB A34005 651 53 a a DT A34005 651 54 Quadrant Quadrant NNP A34005 651 55 , , , A34005 651 56 and and CC A34005 651 57 the the DT A34005 651 58 given give VBN A34005 651 59 angle angle NN A34005 651 60 Obtuse Obtuse NNP A34005 651 61 ; ; : A34005 651 62 Of of IN A34005 651 63 if if IN A34005 651 64 the the DT A34005 651 65 Hipotenusal Hipotenusal NNP A34005 651 66 be be VB A34005 651 67 greater great JJR A34005 651 68 then then RB A34005 651 69 a a DT A34005 651 70 Quadrant Quadrant NNP A34005 651 71 , , , A34005 651 72 and and CC A34005 651 73 the the DT A34005 651 74 given give VBN A34005 651 75 angle angle NN A34005 651 76 Acute Acute NNP A34005 651 77 . . . A34005 652 1 4 4 LS A34005 652 2 . . . A34005 653 1 To to TO A34005 653 2 find find VB A34005 653 3 an an DT A34005 653 4 Angle angle NN A34005 653 5 . . . A34005 654 1 Given give VBN A34005 654 2 the the DT A34005 654 3 Side side NN A34005 654 4 opposite opposite IN A34005 654 5 to to IN A34005 654 6 the the DT A34005 654 7 Angle Angle NNP A34005 654 8 sought seek VBD A34005 654 9 , , , A34005 654 10 and and CC A34005 654 11 the the DT A34005 654 12 other other JJ A34005 654 13 Oblique Oblique NNP A34005 654 14 Angle Angle NNP A34005 654 15 . . . A34005 655 1 As as IN A34005 655 2 the the DT A34005 655 3 Radius radius NN A34005 655 4 : : : A34005 655 5 To to TO A34005 655 6 sine sine VB A34005 655 7 of of IN A34005 655 8 the the DT A34005 655 9 angle angle NN A34005 655 10 given give VBN A34005 655 11 ∷ ∷ NNP A34005 655 12 So so RB A34005 655 13 is be VBZ A34005 655 14 the the DT A34005 655 15 cosine cosine NN A34005 655 16 of of IN A34005 655 17 the the DT A34005 655 18 given give VBN A34005 655 19 side side NN A34005 655 20 : : : A34005 655 21 To to IN A34005 655 22 the the DT A34005 655 23 Cosine Cosine NNP A34005 655 24 of of IN A34005 655 25 the the DT A34005 655 26 angle angle NN A34005 655 27 sought seek VBN A34005 655 28 As as IN A34005 655 29 the the DT A34005 655 30 Radius radius NN A34005 655 31 : : : A34005 655 32 To to IN A34005 655 33 Cosecant Cosecant NNP A34005 655 34 of of IN A34005 655 35 the the DT A34005 655 36 given give VBN A34005 655 37 angle angle NN A34005 655 38 ∷ ∷ NNP A34005 655 39 So so RB A34005 655 40 Secant Secant NNP A34005 655 41 of of IN A34005 655 42 the the DT A34005 655 43 side side NN A34005 655 44 given give VBN A34005 655 45 : : : A34005 655 46 To to IN A34005 655 47 Secant Secant NNP A34005 655 48 of of IN A34005 655 49 the the DT A34005 655 50 angle angle NN A34005 655 51 sought seek VBN A34005 655 52 As as IN A34005 655 53 the the DT A34005 655 54 sine sine NN A34005 655 55 of of IN A34005 655 56 the the DT A34005 655 57 given give VBN A34005 655 58 angle angle NN A34005 655 59 : : : A34005 655 60 To to IN A34005 655 61 Radius Radius NNP A34005 655 62 ∷ ∷ NNP A34005 655 63 So so RB A34005 655 64 the the DT A34005 655 65 Secant secant NN A34005 655 66 of of IN A34005 655 67 the the DT A34005 655 68 given give VBN A34005 655 69 side side NN A34005 655 70 : : : A34005 655 71 To to IN A34005 655 72 the the DT A34005 655 73 Secant secant NN A34005 655 74 of of IN A34005 655 75 the the DT A34005 655 76 angle angle NN A34005 655 77 As as IN A34005 655 78 the the DT A34005 655 79 Cosine Cosine NNP A34005 655 80 of of IN A34005 655 81 the the DT A34005 655 82 given give VBN A34005 655 83 side side NN A34005 655 84 : : : A34005 655 85 To to IN A34005 655 86 Radius Radius NNP A34005 655 87 ∷ ∷ NNP A34005 655 88 So so RB A34005 655 89 the the DT A34005 655 90 Cosecant Cosecant NNP A34005 655 91 of of IN A34005 655 92 the the DT A34005 655 93 given give VBN A34005 655 94 angle angle NN A34005 655 95 : : : A34005 655 96 To to IN A34005 655 97 the the DT A34005 655 98 Secant secant NN A34005 655 99 of of IN A34005 655 100 the the DT A34005 655 101 angle angle NN A34005 655 102 sought seek VBN A34005 655 103 As as IN A34005 655 104 the the DT A34005 655 105 Cosecant Cosecant NNP A34005 655 106 of of IN A34005 655 107 the the DT A34005 655 108 given give VBN A34005 655 109 angle angle NN A34005 655 110 : : : A34005 655 111 To to IN A34005 655 112 Radius radius NN A34005 655 113 : : : A34005 655 114 So so RB A34005 655 115 Cosine Cosine NNP A34005 655 116 of of IN A34005 655 117 the the DT A34005 655 118 given give VBN A34005 655 119 side side NN A34005 655 120 : : : A34005 655 121 To to IN A34005 655 122 the the DT A34005 655 123 Cosine Cosine NNP A34005 655 124 of of IN A34005 655 125 the the DT A34005 655 126 angle angle NN A34005 655 127 sought seek VBN A34005 655 128 As as IN A34005 655 129 the the DT A34005 655 130 Secant secant NN A34005 655 131 of of IN A34005 655 132 the the DT A34005 655 133 given give VBN A34005 655 134 side side NN A34005 655 135 : : : A34005 655 136 To to IN A34005 655 137 Radius Radius NNP A34005 655 138 ∷ ∷ NNP A34005 655 139 So so RB A34005 655 140 sine sine RB A34005 655 141 of of IN A34005 655 142 the the DT A34005 655 143 given give VBN A34005 655 144 angle angle NN A34005 655 145 : : : A34005 655 146 To to IN A34005 655 147 the the DT A34005 655 148 Cosine Cosine NNP A34005 655 149 of of IN A34005 655 150 the the DT A34005 655 151 angle angle NN A34005 655 152 sought seek VBD A34005 655 153 The the DT A34005 655 154 angle angle NN A34005 655 155 found find VBN A34005 655 156 will will MD A34005 655 157 be be VB A34005 655 158 Acute acute JJ A34005 655 159 , , , A34005 655 160 if if IN A34005 655 161 the the DT A34005 655 162 side side NN A34005 655 163 given give VBN A34005 655 164 be be VB A34005 655 165 less less JJR A34005 655 166 then then RB A34005 655 167 a a DT A34005 655 168 Quadrant Quadrant NNP A34005 655 169 , , , A34005 655 170 Obtuse Obtuse NNP A34005 655 171 if if IN A34005 655 172 greater great JJR A34005 655 173 . . . A34005 656 1 5 5 CD A34005 656 2 . . . A34005 657 1 To to TO A34005 657 2 find find VB A34005 657 3 an an DT A34005 657 4 Angle angle NN A34005 657 5 . . . A34005 658 1 Given give VBN A34005 658 2 a a DT A34005 658 3 side side NN A34005 658 4 adjacent adjacent JJ A34005 658 5 to to IN A34005 658 6 the the DT A34005 658 7 angle angle NN A34005 658 8 sought seek VBN A34005 658 9 , , , A34005 658 10 and and CC A34005 658 11 the the DT A34005 658 12 other other JJ A34005 658 13 Oblique Oblique NNP A34005 658 14 angle angle NN A34005 658 15 , , , A34005 658 16 if if IN A34005 658 17 it -PRON- PRP A34005 658 18 be be VB A34005 658 19 foreknown foreknow VBN A34005 658 20 whether whether IN A34005 658 21 the the DT A34005 658 22 angle angle NN A34005 658 23 sought seek VBN A34005 658 24 be be VB A34005 658 25 Acute acute JJ A34005 658 26 or or CC A34005 658 27 Obtuse Obtuse NNP A34005 658 28 , , , A34005 658 29 or or CC A34005 658 30 whether whether IN A34005 658 31 the the DT A34005 658 32 Base Base NNP A34005 658 33 or or CC A34005 658 34 other other JJ A34005 658 35 side side NN A34005 658 36 not not RB A34005 658 37 given give VBN A34005 658 38 be be VB A34005 658 39 greater great JJR A34005 658 40 , , , A34005 658 41 or or CC A34005 658 42 lesser less JJR A34005 658 43 then then RB A34005 658 44 a a DT A34005 658 45 Quadrant Quadrant NNP A34005 658 46 . . . A34005 659 1 As as IN A34005 659 2 the the DT A34005 659 3 Cosine Cosine NNP A34005 659 4 of of IN A34005 659 5 the the DT A34005 659 6 given give VBN A34005 659 7 side side NN A34005 659 8 : : : A34005 659 9 To to IN A34005 659 10 Radius Radius NNP A34005 659 11 ∷ ∷ NNP A34005 659 12 So so RB A34005 659 13 Cosine Cosine NNP A34005 659 14 of of IN A34005 659 15 the the DT A34005 659 16 given give VBN A34005 659 17 angle angle NN A34005 659 18 : : : A34005 659 19 To to IN A34005 659 20 the the DT A34005 659 21 sine sine NN A34005 659 22 of of IN A34005 659 23 the the DT A34005 659 24 angle angle NN A34005 659 25 sought seek VBN A34005 659 26 As as IN A34005 659 27 the the DT A34005 659 28 Radius radius NN A34005 659 29 : : : A34005 659 30 To to IN A34005 659 31 Secant Secant NNP A34005 659 32 of of IN A34005 659 33 the the DT A34005 659 34 given give VBN A34005 659 35 side side NN A34005 659 36 ∷ ∷ NNP A34005 659 37 So so RB A34005 659 38 Cosine Cosine NNP A34005 659 39 of of IN A34005 659 40 the the DT A34005 659 41 given give VBN A34005 659 42 angle angle NN A34005 659 43 : : : A34005 659 44 To to IN A34005 659 45 Sine Sine NNP A34005 659 46 of of IN A34005 659 47 the the DT A34005 659 48 angle angle NN A34005 659 49 sought seek VBN A34005 659 50 As as IN A34005 659 51 the the DT A34005 659 52 Radius radius NN A34005 659 53 : : : A34005 659 54 To to IN A34005 659 55 Secant Secant NNP A34005 659 56 of of IN A34005 659 57 the the DT A34005 659 58 given give VBN A34005 659 59 angle angle NN A34005 659 60 ∷ ∷ NNP A34005 659 61 So so RB A34005 659 62 Cosine Cosine NNP A34005 659 63 of of IN A34005 659 64 the the DT A34005 659 65 given give VBN A34005 659 66 side side NN A34005 659 67 : : : A34005 659 68 To to IN A34005 659 69 Cosecant Cosecant NNP A34005 659 70 of of IN A34005 659 71 sought seek VBN A34005 659 72 angle angle NN A34005 659 73 As as IN A34005 659 74 the the DT A34005 659 75 Cosine Cosine NNP A34005 659 76 of of IN A34005 659 77 the the DT A34005 659 78 given give VBN A34005 659 79 angle angle NN A34005 659 80 : : : A34005 659 81 To to IN A34005 659 82 Radius Radius NNP A34005 659 83 ∷ ∷ NNP A34005 659 84 So so RB A34005 659 85 Cosine Cosine NNP A34005 659 86 of of IN A34005 659 87 the the DT A34005 659 88 given give VBN A34005 659 89 side side NN A34005 659 90 : : : A34005 659 91 To to IN A34005 659 92 the the DT A34005 659 93 Cosecant Cosecant NNP A34005 659 94 of of IN A34005 659 95 the the DT A34005 659 96 angle angle NN A34005 659 97 sought seek VBN A34005 659 98 As as IN A34005 659 99 the the DT A34005 659 100 Secant secant NN A34005 659 101 of of IN A34005 659 102 the the DT A34005 659 103 given give VBN A34005 659 104 side side NN A34005 659 105 : : : A34005 659 106 To to IN A34005 659 107 Radius Radius NNP A34005 659 108 ∷ ∷ NNP A34005 659 109 So so RB A34005 659 110 is be VBZ A34005 659 111 the the DT A34005 659 112 Secant Secant NNP A34005 659 113 of of IN A34005 659 114 the the DT A34005 659 115 given give VBN A34005 659 116 angle angle NN A34005 659 117 : : : A34005 659 118 To to IN A34005 659 119 the the DT A34005 659 120 Cosecant Cosecant NNP A34005 659 121 of of IN A34005 659 122 the the DT A34005 659 123 angle angle NN A34005 659 124 sought seek VBN A34005 659 125 As as IN A34005 659 126 the the DT A34005 659 127 Secant secant NN A34005 659 128 of of IN A34005 659 129 the the DT A34005 659 130 given give VBN A34005 659 131 angle angle NN A34005 659 132 : : : A34005 659 133 To to IN A34005 659 134 Radius Radius NNP A34005 659 135 ∷ ∷ NNP A34005 659 136 So so RB A34005 659 137 is be VBZ A34005 659 138 the the DT A34005 659 139 Secant Secant NNP A34005 659 140 of of IN A34005 659 141 the the DT A34005 659 142 given give VBN A34005 659 143 side side NN A34005 659 144 : : : A34005 659 145 To to IN A34005 659 146 the the DT A34005 659 147 Sine Sine NNP A34005 659 148 of of IN A34005 659 149 the the DT A34005 659 150 angle angle NN A34005 659 151 sought seek VBD A34005 659 152 The the DT A34005 659 153 angle angle NN A34005 659 154 found find VBN A34005 659 155 will will MD A34005 659 156 be be VB A34005 659 157 Acute acute JJ A34005 659 158 , , , A34005 659 159 if if IN A34005 659 160 the the DT A34005 659 161 side side NN A34005 659 162 not not RB A34005 659 163 given give VBN A34005 659 164 be be VB A34005 659 165 less less JJR A34005 659 166 then then RB A34005 659 167 a a DT A34005 659 168 Quadrant Quadrant NNP A34005 659 169 , , , A34005 659 170 Obtuse Obtuse NNP A34005 659 171 if if IN A34005 659 172 greater great JJR A34005 659 173 . . . A34005 660 1 In in IN A34005 660 2 like like JJ A34005 660 3 manner manner NN A34005 660 4 if if IN A34005 660 5 the the DT A34005 660 6 Hipotenusal Hipotenusal NNP A34005 660 7 be be VB A34005 660 8 less less JJR A34005 660 9 then then RB A34005 660 10 a a DT A34005 660 11 Quadrant Quadrant NNP A34005 660 12 , , , A34005 660 13 and and CC A34005 660 14 the the DT A34005 660 15 given give VBN A34005 660 16 angle angle NN A34005 660 17 Acute Acute NNP A34005 660 18 ; ; : A34005 660 19 Or or CC A34005 660 20 if if IN A34005 660 21 the the DT A34005 660 22 Hipotenusal Hipotenusal NNP A34005 660 23 be be VB A34005 660 24 greater great JJR A34005 660 25 then then RB A34005 660 26 a a DT A34005 660 27 Quadrant Quadrant NNP A34005 660 28 , , , A34005 660 29 and and CC A34005 660 30 the the DT A34005 660 31 given give VBN A34005 660 32 angle angle NN A34005 660 33 Obtuse Obtuse NNP A34005 660 34 , , , A34005 660 35 the the DT A34005 660 36 angle angle NN A34005 660 37 found find VBN A34005 660 38 will will MD A34005 660 39 be be VB A34005 660 40 Acute acute JJ A34005 660 41 . . . A34005 661 1 But but CC A34005 661 2 if if IN A34005 661 3 the the DT A34005 661 4 Hipotenusal Hipotenusal NNP A34005 661 5 be be VB A34005 661 6 less less JJR A34005 661 7 then then RB A34005 661 8 a a DT A34005 661 9 Quadrant Quadrant NNP A34005 661 10 , , , A34005 661 11 and and CC A34005 661 12 the the DT A34005 661 13 given give VBN A34005 661 14 angle angle NN A34005 661 15 Obtuse Obtuse NNP A34005 661 16 , , , A34005 661 17 or or CC A34005 661 18 if if IN A34005 661 19 the the DT A34005 661 20 Hipotenusal Hipotenusal NNP A34005 661 21 be be VB A34005 661 22 greater great JJR A34005 661 23 then then RB A34005 661 24 a a DT A34005 661 25 Quadrant Quadrant NNP A34005 661 26 , , , A34005 661 27 and and CC A34005 661 28 the the DT A34005 661 29 given give VBN A34005 661 30 angle angle NN A34005 661 31 Acute Acute NNP A34005 661 32 , , , A34005 661 33 the the DT A34005 661 34 angle angle NN A34005 661 35 found find VBN A34005 661 36 will will MD A34005 661 37 be be VB A34005 661 38 Obtuse Obtuse NNP A34005 661 39 , , , A34005 661 40 6 6 CD A34005 661 41 . . . A34005 662 1 To to TO A34005 662 2 find find VB A34005 662 3 an an DT A34005 662 4 Angle angle NN A34005 662 5 . . . A34005 663 1 Given give VBN A34005 663 2 both both CC A34005 663 3 the the DT A34005 663 4 Leggs Leggs NNP A34005 663 5 . . . A34005 664 1 As as IN A34005 664 2 Radius radius NN A34005 664 3 : : : A34005 664 4 To to TO A34005 664 5 sine sine VB A34005 664 6 of of IN A34005 664 7 the the DT A34005 664 8 side side NN A34005 664 9 adjacent adjacent JJ A34005 664 10 to to IN A34005 664 11 sought seek VBN A34005 664 12 angle angle NN A34005 664 13 ∷ ∷ NNP A34005 664 14 So so RB A34005 664 15 Cotang Cotang NNP A34005 664 16 of of IN A34005 664 17 the the DT A34005 664 18 side side NN A34005 664 19 opposite opposite RB A34005 664 20 to to IN A34005 664 21 the the DT A34005 664 22 angle angle NN A34005 664 23 sought seek VBN A34005 664 24 : : : A34005 664 25 To to IN A34005 664 26 Cotang Cotang NNP A34005 664 27 of of IN A34005 664 28 the the DT A34005 664 29 angle angle NN A34005 664 30 sought seek VBN A34005 664 31 As as IN A34005 664 32 the the DT A34005 664 33 sine sine NN A34005 664 34 of of IN A34005 664 35 the the DT A34005 664 36 side side NN A34005 664 37 adjacent adjacent JJ A34005 664 38 to to IN A34005 664 39 sought seek VBN A34005 664 40 angle angle NN A34005 664 41 : : : A34005 664 42 To to IN A34005 664 43 Radius Radius NNP A34005 664 44 ∷ ∷ NNP A34005 664 45 So so IN A34005 664 46 the the DT A34005 664 47 tangent tangent NN A34005 664 48 of of IN A34005 664 49 the the DT A34005 664 50 side side NN A34005 664 51 opposite opposite RB A34005 664 52 to to IN A34005 664 53 the the DT A34005 664 54 sought sought JJ A34005 664 55 angle angle NN A34005 664 56 : : : A34005 664 57 To to IN A34005 664 58 the the DT A34005 664 59 tang tang NNP A34005 664 60 of of IN A34005 664 61 the the DT A34005 664 62 angle angle NN A34005 664 63 sought seek VBD A34005 664 64 : : : A34005 664 65 As as IN A34005 664 66 the the DT A34005 664 67 Tangent tangent NN A34005 664 68 of of IN A34005 664 69 the the DT A34005 664 70 side side NN A34005 664 71 opposite opposite RB A34005 664 72 to to IN A34005 664 73 sought seek VBN A34005 664 74 angle angle NN A34005 664 75 : : : A34005 664 76 To to IN A34005 664 77 Radius Radius NNP A34005 664 78 ∷ ∷ NNP A34005 664 79 So so RB A34005 664 80 the the DT A34005 664 81 sine sine NN A34005 664 82 of of IN A34005 664 83 the the DT A34005 664 84 side side NN A34005 664 85 adjacent adjacent JJ A34005 664 86 to to IN A34005 664 87 the the DT A34005 664 88 sought sought JJ A34005 664 89 angle angle NN A34005 664 90 : : : A34005 664 91 To to IN A34005 664 92 Cotang Cotang NNP A34005 664 93 of of IN A34005 664 94 the the DT A34005 664 95 angle angle NN A34005 664 96 sought seek VBD A34005 664 97 : : : A34005 664 98 As as IN A34005 664 99 the the DT A34005 664 100 Radius radius NN A34005 664 101 : : : A34005 664 102 To to IN A34005 664 103 Cosecant Cosecant NNP A34005 664 104 of of IN A34005 664 105 the the DT A34005 664 106 side side NN A34005 664 107 adjacent adjacent JJ A34005 664 108 to to IN A34005 664 109 sought seek VBN A34005 664 110 angle angle NN A34005 664 111 ∷ ∷ NNP A34005 664 112 So so IN A34005 664 113 the the DT A34005 664 114 tangent tangent NN A34005 664 115 of of IN A34005 664 116 the the DT A34005 664 117 side side NN A34005 664 118 opposite opposite IN A34005 664 119 thereto thereto NN A34005 664 120 : : : A34005 664 121 To to IN A34005 664 122 the the DT A34005 664 123 tang tang NNP A34005 664 124 of of IN A34005 664 125 the the DT A34005 664 126 angle angle NN A34005 664 127 sought seek VBD A34005 664 128 : : : A34005 664 129 As as IN A34005 664 130 the the DT A34005 664 131 Cosecant Cosecant NNP A34005 664 132 of of IN A34005 664 133 the the DT A34005 664 134 side side NN A34005 664 135 adjacent adjacent JJ A34005 664 136 to to IN A34005 664 137 the the DT A34005 664 138 angle angle NN A34005 664 139 sought seek VBN A34005 664 140 To to IN A34005 664 141 Radius Radius NNP A34005 664 142 ∷ ∷ NNP A34005 664 143 So so RB A34005 664 144 is be VBZ A34005 664 145 the the DT A34005 664 146 Cotang Cotang NNP A34005 664 147 of of IN A34005 664 148 the the DT A34005 664 149 side side NN A34005 664 150 opposite opposite RB A34005 664 151 to to IN A34005 664 152 the the DT A34005 664 153 angle angle NN A34005 664 154 sought seek VBN A34005 664 155 : : : A34005 664 156 To to IN A34005 664 157 Cotang Cotang NNP A34005 664 158 of of IN A34005 664 159 the the DT A34005 664 160 sought seek VBN A34005 664 161 angle angle NN A34005 664 162 : : : A34005 664 163 As as IN A34005 664 164 the the DT A34005 664 165 Cotangent Cotangent NNP A34005 664 166 side side NN A34005 664 167 opposite opposite RB A34005 664 168 to to IN A34005 664 169 the the DT A34005 664 170 sought sought JJ A34005 664 171 angle angle NN A34005 664 172 : : : A34005 664 173 To to IN A34005 664 174 Radius Radius NNP A34005 664 175 ∷ ∷ NNP A34005 664 176 So so RB A34005 664 177 Cosecant Cosecant NNP A34005 664 178 of of IN A34005 664 179 the the DT A34005 664 180 side side NN A34005 664 181 adjacent adjacent JJ A34005 664 182 to to IN A34005 664 183 the the DT A34005 664 184 angle angle NN A34005 664 185 sought seek VBN A34005 664 186 : : : A34005 664 187 To to IN A34005 664 188 the the DT A34005 664 189 tang tang NNP A34005 664 190 of of IN A34005 664 191 the the DT A34005 664 192 angle angle NN A34005 664 193 sought seek VBD A34005 664 194 The the DT A34005 664 195 Angle Angle NNP A34005 664 196 found find VBN A34005 664 197 will will MD A34005 664 198 be be VB A34005 664 199 Acute acute JJ A34005 664 200 , , , A34005 664 201 if if IN A34005 664 202 the the DT A34005 664 203 side side NN A34005 664 204 opposite opposite RB A34005 664 205 to to IN A34005 664 206 the the DT A34005 664 207 angle angle NN A34005 664 208 sought seek VBN A34005 664 209 be be VB A34005 664 210 less less JJR A34005 664 211 then then RB A34005 664 212 a a DT A34005 664 213 Quadrant Quadrant NNP A34005 664 214 , , , A34005 664 215 but but CC A34005 664 216 Obtuse Obtuse NNP A34005 664 217 if if IN A34005 664 218 greater great JJR A34005 664 219 . . . A34005 665 1 7 7 LS A34005 665 2 , , , A34005 665 3 To to TO A34005 665 4 find find VB A34005 665 5 a a DT A34005 665 6 Side side NN A34005 665 7 or or CC A34005 665 8 Legg Legg NNP A34005 665 9 . . . A34005 666 1 Given give VBN A34005 666 2 the the DT A34005 666 3 Hipotenusal Hipotenusal NNP A34005 666 4 and and CC A34005 666 5 the the DT A34005 666 6 other other JJ A34005 666 7 Legg Legg NNP A34005 666 8 . . . A34005 667 1 As as IN A34005 667 2 the the DT A34005 667 3 Cosine Cosine NNP A34005 667 4 of of IN A34005 667 5 the the DT A34005 667 6 given give VBN A34005 667 7 side side NN A34005 667 8 : : : A34005 667 9 To to IN A34005 667 10 Radius Radius NNP A34005 667 11 ∷ ∷ NNP A34005 667 12 So so RB A34005 667 13 Cosine Cosine NNP A34005 667 14 of of IN A34005 667 15 the the DT A34005 667 16 Hipotenusal Hipotenusal NNP A34005 667 17 : : : A34005 667 18 To to IN A34005 667 19 Cosine Cosine NNP A34005 667 20 of of IN A34005 667 21 the the DT A34005 667 22 side side NN A34005 667 23 sought seek VBN A34005 667 24 As as IN A34005 667 25 Radius radius NN A34005 667 26 : : : A34005 667 27 To to IN A34005 667 28 Secant Secant NNP A34005 667 29 of of IN A34005 667 30 the the DT A34005 667 31 side side NN A34005 667 32 ∷ ∷ NNP A34005 667 33 So so RB A34005 667 34 Cosine Cosine NNP A34005 667 35 of of IN A34005 667 36 the the DT A34005 667 37 Hipotenusal Hipotenusal NNP A34005 667 38 : : : A34005 667 39 To to IN A34005 667 40 Cosine Cosine NNP A34005 667 41 of of IN A34005 667 42 the the DT A34005 667 43 side side NN A34005 667 44 sought seek VBN A34005 667 45 As as IN A34005 667 46 Cosine Cosine NNP A34005 667 47 Hipotenusal Hipotenusal NNP A34005 667 48 : : : A34005 667 49 To to IN A34005 667 50 Radius Radius NNP A34005 667 51 ∷ ∷ NNP A34005 667 52 So so RB A34005 667 53 Cosine Cosine NNP A34005 667 54 of of IN A34005 667 55 the the DT A34005 667 56 given give VBN A34005 667 57 side side NN A34005 667 58 : : : A34005 667 59 To to IN A34005 667 60 Secant Secant NNP A34005 667 61 of of IN A34005 667 62 the the DT A34005 667 63 side side NN A34005 667 64 sought seek VBN A34005 667 65 As as IN A34005 667 66 Radius radius NN A34005 667 67 : : : A34005 667 68 To to IN A34005 667 69 Secant Secant NNP A34005 667 70 of of IN A34005 667 71 the the DT A34005 667 72 Hipotenusal Hipotenusal NNP A34005 667 73 ∷ ∷ NNP A34005 667 74 So so RB A34005 667 75 Cosine Cosine NNP A34005 667 76 of of IN A34005 667 77 the the DT A34005 667 78 given give VBN A34005 667 79 side side NN A34005 667 80 : : : A34005 667 81 To to IN A34005 667 82 Secant Secant NNP A34005 667 83 of of IN A34005 667 84 the the DT A34005 667 85 side side NN A34005 667 86 sought seek VBN A34005 667 87 As as IN A34005 667 88 the the DT A34005 667 89 Secant Secant NNP A34005 667 90 of of IN A34005 667 91 the the DT A34005 667 92 Hipotenusal Hipotenusal NNP A34005 667 93 : : : A34005 667 94 To to IN A34005 667 95 Radius Radius NNP A34005 667 96 ∷ ∷ NNP A34005 667 97 So so RB A34005 667 98 Secant secant NN A34005 667 99 of of IN A34005 667 100 the the DT A34005 667 101 given give VBN A34005 667 102 side side NN A34005 667 103 : : : A34005 667 104 To to IN A34005 667 105 Cosine Cosine NNP A34005 667 106 of of IN A34005 667 107 the the DT A34005 667 108 side side NN A34005 667 109 sought seek VBN A34005 667 110 As as IN A34005 667 111 the the DT A34005 667 112 Secant secant NN A34005 667 113 of of IN A34005 667 114 the the DT A34005 667 115 given give VBN A34005 667 116 side side NN A34005 667 117 : : : A34005 667 118 To to IN A34005 667 119 Radius Radius NNP A34005 667 120 ∷ ∷ NNP A34005 667 121 So so RB A34005 667 122 Secant secant NN A34005 667 123 of of IN A34005 667 124 the the DT A34005 667 125 Hipotenusal Hipotenusal NNP A34005 667 126 : : : A34005 667 127 To to IN A34005 667 128 the the DT A34005 667 129 Secant secant NN A34005 667 130 of of IN A34005 667 131 the the DT A34005 667 132 side side NN A34005 667 133 sought seek VBD A34005 667 134 The the DT A34005 667 135 side side NN A34005 667 136 sought seek VBN A34005 667 137 will will MD A34005 667 138 be be VB A34005 667 139 less less JJR A34005 667 140 then then RB A34005 667 141 a a DT A34005 667 142 Quadrant Quadrant NNP A34005 667 143 , , , A34005 667 144 if if IN A34005 667 145 both both DT A34005 667 146 the the DT A34005 667 147 Hipotenusal Hipotenusal NNP A34005 667 148 and and CC A34005 667 149 given give VBN A34005 667 150 sides side NNS A34005 667 151 be be VBP A34005 667 152 less less JJR A34005 667 153 then then RB A34005 667 154 Quadrants Quadrants NNPS A34005 667 155 , , , A34005 667 156 but but CC A34005 667 157 greater great JJR A34005 667 158 then then RB A34005 667 159 a a DT A34005 667 160 Quadrant Quadrant NNP A34005 667 161 if if IN A34005 667 162 either either CC A34005 667 163 the the DT A34005 667 164 Hipotenusal Hipotenusal NNP A34005 667 165 be be VB A34005 667 166 greater great JJR A34005 667 167 , , , A34005 667 168 and and CC A34005 667 169 the the DT A34005 667 170 given give VBN A34005 667 171 side side NN A34005 667 172 less less RBR A34005 667 173 , , , A34005 667 174 Or or CC A34005 667 175 if if IN A34005 667 176 the the DT A34005 667 177 Hipotenusal Hipotenusal NNP A34005 667 178 be be VB A34005 667 179 less less JJR A34005 667 180 , , , A34005 667 181 and and CC A34005 667 182 the the DT A34005 667 183 given give VBN A34005 667 184 side side NN A34005 667 185 greater great JJR A34005 667 186 . . . A34005 668 1 8 8 LS A34005 668 2 . . . A34005 669 1 To to TO A34005 669 2 find find VB A34005 669 3 a a DT A34005 669 4 Side side NN A34005 669 5 . . . A34005 670 1 Given give VBN A34005 670 2 the the DT A34005 670 3 Hipotenusal Hipotenusal NNP A34005 670 4 , , , A34005 670 5 and and CC A34005 670 6 an an DT A34005 670 7 Angle Angle NNP A34005 670 8 opposite opposite IN A34005 670 9 to to IN A34005 670 10 the the DT A34005 670 11 side side NN A34005 670 12 fought fight VBN A34005 670 13 . . . A34005 671 1 As as IN A34005 671 2 the the DT A34005 671 3 Radius radius NN A34005 671 4 : : : A34005 671 5 To to TO A34005 671 6 sine sine VB A34005 671 7 of of IN A34005 671 8 the the DT A34005 671 9 Hipotenusal Hipotenusal NNP A34005 671 10 ∷ ∷ NNP A34005 671 11 So so RB A34005 671 12 sine sine RB A34005 671 13 of of IN A34005 671 14 the the DT A34005 671 15 given give VBN A34005 671 16 angle angle NN A34005 671 17 : : : A34005 671 18 To to IN A34005 671 19 the the DT A34005 671 20 sine sine NN A34005 671 21 of of IN A34005 671 22 the the DT A34005 671 23 side side NN A34005 671 24 sought seek VBN A34005 671 25 As as IN A34005 671 26 Radius radius NN A34005 671 27 : : : A34005 671 28 To to IN A34005 671 29 Cosecant Cosecant NNP A34005 671 30 of of IN A34005 671 31 the the DT A34005 671 32 Hipotenusal Hipotenusal NNP A34005 671 33 ∷ ∷ NNP A34005 671 34 So so RB A34005 671 35 the the DT A34005 671 36 Cosecant Cosecant NNP A34005 671 37 of of IN A34005 671 38 the the DT A34005 671 39 given give VBN A34005 671 40 angle angle NN A34005 671 41 : : : A34005 671 42 To to IN A34005 671 43 Cosecant Cosecant NNP A34005 671 44 of of IN A34005 671 45 the the DT A34005 671 46 side side NN A34005 671 47 sought seek VBN A34005 671 48 As as IN A34005 671 49 the the DT A34005 671 50 sine sine NN A34005 671 51 of of IN A34005 671 52 the the DT A34005 671 53 Hipotenusal Hipotenusal NNP A34005 671 54 : : : A34005 671 55 To to IN A34005 671 56 Radius Radius NNP A34005 671 57 ∷ ∷ NNP A34005 671 58 So so RB A34005 671 59 Cosecant Cosecant NNP A34005 671 60 of of IN A34005 671 61 the the DT A34005 671 62 given give VBN A34005 671 63 angle angle NN A34005 671 64 : : : A34005 671 65 To to IN A34005 671 66 Cosecant Cosecant NNP A34005 671 67 of of IN A34005 671 68 the the DT A34005 671 69 side side NN A34005 671 70 sought seek VBN A34005 671 71 As as IN A34005 671 72 the the DT A34005 671 73 Cosecant Cosecant NNP A34005 671 74 of of IN A34005 671 75 the the DT A34005 671 76 given give VBN A34005 671 77 angle angle NN A34005 671 78 ▪ ▪ NN A34005 671 79 To to IN A34005 671 80 Radius Radius NNP A34005 671 81 ∷ ∷ NNP A34005 671 82 So so RB A34005 671 83 the the DT A34005 671 84 sine sine NN A34005 671 85 of of IN A34005 671 86 the the DT A34005 671 87 Hipotenusal Hipotenusal NNP A34005 671 88 : : : A34005 671 89 To to IN A34005 671 90 the the DT A34005 671 91 sine sine NN A34005 671 92 of of IN A34005 671 93 the the DT A34005 671 94 side side NN A34005 671 95 sought seek VBN A34005 671 96 As as IN A34005 671 97 the the DT A34005 671 98 sine sine NN A34005 671 99 of of IN A34005 671 100 the the DT A34005 671 101 given give VBN A34005 671 102 angle angle NN A34005 671 103 : : : A34005 671 104 To to IN A34005 671 105 Radius Radius NNP A34005 671 106 ∷ ∷ NNP A34005 671 107 So so RB A34005 671 108 the the DT A34005 671 109 Cosecant Cosecant NNP A34005 671 110 of of IN A34005 671 111 the the DT A34005 671 112 Hipotenusal Hipotenusal NNP A34005 671 113 : : : A34005 671 114 To to IN A34005 671 115 the the DT A34005 671 116 Cosecant Cosecant NNP A34005 671 117 of of IN A34005 671 118 the the DT A34005 671 119 side side NN A34005 671 120 sought seek VBD A34005 671 121 The the DT A34005 671 122 side side NN A34005 671 123 found find VBN A34005 671 124 will will MD A34005 671 125 be be VB A34005 671 126 less less JJR A34005 671 127 then then RB A34005 671 128 a a DT A34005 671 129 Quadrant Quadrant NNP A34005 671 130 , , , A34005 671 131 if if IN A34005 671 132 the the DT A34005 671 133 Angle Angle NNP A34005 671 134 opposite opposite NN A34005 671 135 thereto thereto NN A34005 671 136 be be VB A34005 671 137 Acute acute JJ A34005 671 138 , , , A34005 671 139 but but CC A34005 671 140 greater great JJR A34005 671 141 if if IN A34005 671 142 Obtuse Obtuse NNP A34005 671 143 . . . A34005 672 1 9 9 CD A34005 672 2 . . . A34005 673 1 To to TO A34005 673 2 find find VB A34005 673 3 a a DT A34005 673 4 Side side NN A34005 673 5 . . . A34005 674 1 Given give VBN A34005 674 2 the the DT A34005 674 3 Hipotenusal Hipotenusal NNP A34005 674 4 and and CC A34005 674 5 Angle Angle NNP A34005 674 6 adjacent adjacent JJ A34005 674 7 to to IN A34005 674 8 the the DT A34005 674 9 Side side NN A34005 674 10 sought seek VBN A34005 674 11 As as IN A34005 674 12 the the DT A34005 674 13 Radius radius NN A34005 674 14 : : : A34005 674 15 To to IN A34005 674 16 Cosine Cosine NNP A34005 674 17 of of IN A34005 674 18 the the DT A34005 674 19 given give VBN A34005 674 20 angle angle NN A34005 674 21 ∷ ∷ NNP A34005 674 22 So so RB A34005 674 23 tangent tangent NN A34005 674 24 of of IN A34005 674 25 the the DT A34005 674 26 Hipotenusal Hipotenusal NNP A34005 674 27 : : : A34005 674 28 To to IN A34005 674 29 the the DT A34005 674 30 tangent tangent NN A34005 674 31 of of IN A34005 674 32 side side NN A34005 674 33 sought seek VBN A34005 674 34 As as IN A34005 674 35 the the DT A34005 674 36 Cosine Cosine NNP A34005 674 37 of of IN A34005 674 38 the the DT A34005 674 39 given give VBN A34005 674 40 angle angle NN A34005 674 41 : : : A34005 674 42 To to IN A34005 674 43 Radius Radius NNP A34005 674 44 ∷ ∷ NNP A34005 674 45 So so RB A34005 674 46 Cotangent Cotangent NNP A34005 674 47 of of IN A34005 674 48 the the DT A34005 674 49 Hipotenusal Hipotenusal NNP A34005 674 50 : : : A34005 674 51 To to IN A34005 674 52 Cotang Cotang NNP A34005 674 53 of of IN A34005 674 54 the the DT A34005 674 55 side side NN A34005 674 56 sought seek VBN A34005 674 57 As as IN A34005 674 58 the the DT A34005 674 59 Cotangent Cotangent NNP A34005 674 60 of of IN A34005 674 61 Hipotenusal Hipotenusal NNP A34005 674 62 : : : A34005 674 63 To to IN A34005 674 64 Radius Radius NNP A34005 674 65 ∷ ∷ NNP A34005 674 66 So so IN A34005 674 67 the the DT A34005 674 68 Cosine Cosine NNP A34005 674 69 of of IN A34005 674 70 the the DT A34005 674 71 given give VBN A34005 674 72 angle angle NN A34005 674 73 : : : A34005 674 74 To to TO A34005 674 75 tangent tangent NN A34005 674 76 of of IN A34005 674 77 the the DT A34005 674 78 side side NN A34005 674 79 sought seek VBN A34005 674 80 As as IN A34005 674 81 the the DT A34005 674 82 Radius radius NN A34005 674 83 : : : A34005 674 84 To to IN A34005 674 85 Secant Secant NNP A34005 674 86 of of IN A34005 674 87 the the DT A34005 674 88 angle angle NN A34005 674 89 ∷ ∷ NNP A34005 674 90 So so RB A34005 674 91 Cotangent Cotangent NNP A34005 674 92 of of IN A34005 674 93 the the DT A34005 674 94 Hipotenusal Hipotenusal NNP A34005 674 95 : : : A34005 674 96 To to IN A34005 674 97 Cotang Cotang NNP A34005 674 98 of of IN A34005 674 99 the the DT A34005 674 100 side side NN A34005 674 101 sought seek VBN A34005 674 102 As as IN A34005 674 103 the the DT A34005 674 104 Secant secant NN A34005 674 105 of of IN A34005 674 106 the the DT A34005 674 107 given give VBN A34005 674 108 angle angle NN A34005 674 109 : : : A34005 674 110 To to IN A34005 674 111 Radius Radius NNP A34005 674 112 ∷ ∷ NNP A34005 674 113 So so RB A34005 674 114 tangent tangent NN A34005 674 115 of of IN A34005 674 116 the the DT A34005 674 117 Hipotenusal Hipotenusal NNP A34005 674 118 : : : A34005 674 119 To to IN A34005 674 120 the the DT A34005 674 121 tangent tangent NN A34005 674 122 of of IN A34005 674 123 the the DT A34005 674 124 side side NN A34005 674 125 sought seek VBN A34005 674 126 As as IN A34005 674 127 the the DT A34005 674 128 tangent tangent NN A34005 674 129 of of IN A34005 674 130 the the DT A34005 674 131 Hipotenusal Hipotenusal NNP A34005 674 132 : : : A34005 674 133 To to IN A34005 674 134 Radius Radius NNP A34005 674 135 ∷ ∷ NNP A34005 674 136 So so RB A34005 674 137 Secant secant NN A34005 674 138 of of IN A34005 674 139 the the DT A34005 674 140 given give VBN A34005 674 141 angle angle NN A34005 674 142 : : : A34005 674 143 To to IN A34005 674 144 Cotang Cotang NNP A34005 674 145 : : : A34005 674 146 of of IN A34005 674 147 the the DT A34005 674 148 side side NN A34005 674 149 sought seek VBD A34005 674 150 The the DT A34005 674 151 Side side NN A34005 674 152 sought seek VBN A34005 674 153 will will MD A34005 674 154 be be VB A34005 674 155 less less JJR A34005 674 156 then then RB A34005 674 157 a a DT A34005 674 158 Quadrant Quadrant NNP A34005 674 159 , , , A34005 674 160 if if IN A34005 674 161 the the DT A34005 674 162 Hipotenusal Hipotenusal NNP A34005 674 163 be be VB A34005 674 164 less less JJR A34005 674 165 then then RB A34005 674 166 a a DT A34005 674 167 Quadrant Quadrant NNP A34005 674 168 , , , A34005 674 169 and and CC A34005 674 170 the the DT A34005 674 171 given give VBN A34005 674 172 angle angle NN A34005 674 173 Acute Acute NNP A34005 674 174 : : : A34005 674 175 Or or CC A34005 674 176 if if IN A34005 674 177 the the DT A34005 674 178 Hipotenusal Hipotenusal NNP A34005 674 179 be be VB A34005 674 180 greater great JJR A34005 674 181 then then RB A34005 674 182 a a DT A34005 674 183 Quadrant Quadrant NNP A34005 674 184 , , , A34005 674 185 and and CC A34005 674 186 the the DT A34005 674 187 given give VBN A34005 674 188 angle angle NN A34005 674 189 Obtuse Obtuse NNP A34005 674 190 ; ; : A34005 674 191 But but CC A34005 674 192 it -PRON- PRP A34005 674 193 will will MD A34005 674 194 be be VB A34005 674 195 greater great JJR A34005 674 196 then then RB A34005 674 197 a a DT A34005 674 198 Quadrant Quadrant NNP A34005 674 199 , , , A34005 674 200 if if IN A34005 674 201 the the DT A34005 674 202 Hipotenusal Hipotenusal NNP A34005 674 203 be be VB A34005 674 204 less less JJR A34005 674 205 then then RB A34005 674 206 a a DT A34005 674 207 Quadrant Quadrant NNP A34005 674 208 , , , A34005 674 209 and and CC A34005 674 210 the the DT A34005 674 211 given give VBN A34005 674 212 angle angle NN A34005 674 213 Obtuse Obtuse NNP A34005 674 214 : : : A34005 674 215 Or or CC A34005 674 216 if if IN A34005 674 217 the the DT A34005 674 218 Hipotenusal Hipotenusal NNP A34005 674 219 be be VB A34005 674 220 greater great JJR A34005 674 221 then then RB A34005 674 222 a a DT A34005 674 223 Quadrant Quadrant NNP A34005 674 224 , , , A34005 674 225 and and CC A34005 674 226 the the DT A34005 674 227 given give VBN A34005 674 228 angle angle NN A34005 674 229 Acute Acute NNP A34005 674 230 . . . A34005 675 1 10 10 CD A34005 675 2 . . . A34005 676 1 To to TO A34005 676 2 find find VB A34005 676 3 a a DT A34005 676 4 Side side NN A34005 676 5 . . . A34005 677 1 Given give VBN A34005 677 2 a a DT A34005 677 3 Side side NN A34005 677 4 , , , A34005 677 5 and and CC A34005 677 6 an an DT A34005 677 7 Angle angle NN A34005 677 8 adjacent adjacent JJ A34005 677 9 to to IN A34005 677 10 the the DT A34005 677 11 sought seek VBN A34005 677 12 side side NN A34005 677 13 . . . A34005 678 1 Provided provide VBN A34005 678 2 it -PRON- PRP A34005 678 3 be be VB A34005 678 4 foreknown foreknow VBN A34005 678 5 whether whether IN A34005 678 6 the the DT A34005 678 7 side side NN A34005 678 8 sought seek VBD A34005 678 9 be be VB A34005 678 10 greater great JJR A34005 678 11 or or CC A34005 678 12 less less JJR A34005 678 13 then then RB A34005 678 14 a a DT A34005 678 15 Quadrant Quadrant NNP A34005 678 16 , , , A34005 678 17 or or CC A34005 678 18 whether whether IN A34005 678 19 the the DT A34005 678 20 other other JJ A34005 678 21 angle angle NN A34005 678 22 not not RB A34005 678 23 given give VBN A34005 678 24 be be VB A34005 678 25 Acute acute JJ A34005 678 26 or or CC A34005 678 27 Obtuse Obtuse NNP A34005 678 28 ; ; : A34005 678 29 or or CC A34005 678 30 finally finally RB A34005 678 31 whether whether IN A34005 678 32 the the DT A34005 678 33 Hipotenusal Hipotenusal NNP A34005 678 34 be be VB A34005 678 35 greater great JJR A34005 678 36 or or CC A34005 678 37 less less JJR A34005 678 38 then then RB A34005 678 39 a a DT A34005 678 40 Quadrant Quadrant NNP A34005 678 41 . . . A34005 679 1 As as IN A34005 679 2 the the DT A34005 679 3 Radius radius NN A34005 679 4 : : : A34005 679 5 To to IN A34005 679 6 the the DT A34005 679 7 Cotangent Cotangent NNP A34005 679 8 of of IN A34005 679 9 the the DT A34005 679 10 given give VBN A34005 679 11 angle angle NN A34005 679 12 ∷ ∷ NNP A34005 679 13 So so RB A34005 679 14 tangent tangent NN A34005 679 15 of of IN A34005 679 16 the the DT A34005 679 17 given give VBN A34005 679 18 side side NN A34005 679 19 : : : A34005 679 20 To to IN A34005 679 21 the the DT A34005 679 22 Sine Sine NNP A34005 679 23 of of IN A34005 679 24 the the DT A34005 679 25 side side NN A34005 679 26 sought seek VBN A34005 679 27 As as IN A34005 679 28 the the DT A34005 679 29 tangent tangent NN A34005 679 30 of of IN A34005 679 31 the the DT A34005 679 32 given give VBN A34005 679 33 angle angle NN A34005 679 34 : : : A34005 679 35 To to IN A34005 679 36 Radius Radius NNP A34005 679 37 ∷ ∷ NNP A34005 679 38 So so RB A34005 679 39 tangent tangent NN A34005 679 40 of of IN A34005 679 41 the the DT A34005 679 42 given give VBN A34005 679 43 side side NN A34005 679 44 : : : A34005 679 45 To to IN A34005 679 46 the the DT A34005 679 47 sine sine NN A34005 679 48 of of IN A34005 679 49 the the DT A34005 679 50 side side NN A34005 679 51 sought seek VBN A34005 679 52 As as IN A34005 679 53 the the DT A34005 679 54 Cotang Cotang NNP A34005 679 55 of of IN A34005 679 56 the the DT A34005 679 57 given give VBN A34005 679 58 side side NN A34005 679 59 : : : A34005 679 60 To to IN A34005 679 61 Radius Radius NNP A34005 679 62 ∷ ∷ NNP A34005 679 63 So so RB A34005 679 64 the the DT A34005 679 65 Cotang Cotang NNP A34005 679 66 of of IN A34005 679 67 the the DT A34005 679 68 given give VBN A34005 679 69 angle angle NN A34005 679 70 : : : A34005 679 71 To to IN A34005 679 72 the the DT A34005 679 73 sine sine NN A34005 679 74 of of IN A34005 679 75 the the DT A34005 679 76 side side NN A34005 679 77 sought seek VBN A34005 679 78 As as IN A34005 679 79 Radius radius NN A34005 679 80 : : : A34005 679 81 To to IN A34005 679 82 Cotangent Cotangent NNP A34005 679 83 of of IN A34005 679 84 the the DT A34005 679 85 given give VBN A34005 679 86 side side NN A34005 679 87 : : : A34005 679 88 So so RB A34005 679 89 tangent tangent NN A34005 679 90 of of IN A34005 679 91 the the DT A34005 679 92 given give VBN A34005 679 93 angle angle NN A34005 679 94 : : : A34005 679 95 To to IN A34005 679 96 Cosecant Cosecant NNP A34005 679 97 of of IN A34005 679 98 the the DT A34005 679 99 side side NN A34005 679 100 sought seek VBN A34005 679 101 As as IN A34005 679 102 the the DT A34005 679 103 tangent tangent NN A34005 679 104 of of IN A34005 679 105 the the DT A34005 679 106 given give VBN A34005 679 107 side side NN A34005 679 108 : : : A34005 679 109 To to IN A34005 679 110 Radius Radius NNP A34005 679 111 ∷ ∷ NNP A34005 679 112 So so RB A34005 679 113 tangent tangent NN A34005 679 114 of of IN A34005 679 115 the the DT A34005 679 116 given give VBN A34005 679 117 angle angle NN A34005 679 118 : : : A34005 679 119 To to IN A34005 679 120 the the DT A34005 679 121 Cosecant Cosecant NNP A34005 679 122 of of IN A34005 679 123 the the DT A34005 679 124 side side NN A34005 679 125 sought seek VBN A34005 679 126 As as IN A34005 679 127 the the DT A34005 679 128 Cotangent Cotangent NNP A34005 679 129 of of IN A34005 679 130 the the DT A34005 679 131 given give VBN A34005 679 132 angle angle NN A34005 679 133 : : : A34005 679 134 To to IN A34005 679 135 Radius Radius NNP A34005 679 136 ∷ ∷ NNP A34005 679 137 So so RB A34005 679 138 Cotang Cotang NNP A34005 679 139 of of IN A34005 679 140 the the DT A34005 679 141 given give VBN A34005 679 142 side side NN A34005 679 143 : : : A34005 679 144 To to IN A34005 679 145 the the DT A34005 679 146 Cosecant Cosecant NNP A34005 679 147 of of IN A34005 679 148 the the DT A34005 679 149 side side NN A34005 679 150 sought seek VBD A34005 679 151 The the DT A34005 679 152 Side side NN A34005 679 153 found find VBN A34005 679 154 will will MD A34005 679 155 be be VB A34005 679 156 less less JJR A34005 679 157 then then RB A34005 679 158 a a DT A34005 679 159 Quadrant Quadrant NNP A34005 679 160 , , , A34005 679 161 if if IN A34005 679 162 the the DT A34005 679 163 angle angle NN A34005 679 164 opposite opposite IN A34005 679 165 thereto thereto NNP A34005 679 166 and and CC A34005 679 167 not not RB A34005 679 168 given give VBN A34005 679 169 be be VB A34005 679 170 Acute acute JJ A34005 679 171 , , , A34005 679 172 but but CC A34005 679 173 greater great JJR A34005 679 174 if if IN A34005 679 175 it -PRON- PRP A34005 679 176 be be VB A34005 679 177 Obtuse Obtuse NNP A34005 679 178 ; ; : A34005 679 179 In in IN A34005 679 180 like like IN A34005 679 181 manner manner NN A34005 679 182 it -PRON- PRP A34005 679 183 will will MD A34005 679 184 be be VB A34005 679 185 less less JJR A34005 679 186 , , , A34005 679 187 if if IN A34005 679 188 the the DT A34005 679 189 Hipotenusal Hipotenusal NNP A34005 679 190 be be VB A34005 679 191 less less JJR A34005 679 192 then then RB A34005 679 193 a a DT A34005 679 194 Quadrant Quadrant NNP A34005 679 195 , , , A34005 679 196 and and CC A34005 679 197 the the DT A34005 679 198 side side NN A34005 679 199 given give VBN A34005 679 200 also also RB A34005 679 201 less less JJR A34005 679 202 then then RB A34005 679 203 a a DT A34005 679 204 Quadrant quadrant NN A34005 679 205 : : : A34005 679 206 Or or CC A34005 679 207 if if IN A34005 679 208 the the DT A34005 679 209 Hipotenusal Hipotenusal NNP A34005 679 210 be be VB A34005 679 211 less less JJR A34005 679 212 then then RB A34005 679 213 a a DT A34005 679 214 Quadrant Quadrant NNP A34005 679 215 , , , A34005 679 216 and and CC A34005 679 217 the the DT A34005 679 218 given give VBN A34005 679 219 side side NN A34005 679 220 greater great JJR A34005 679 221 , , , A34005 679 222 the the DT A34005 679 223 side side NN A34005 679 224 found find VBN A34005 679 225 will will MD A34005 679 226 be be VB A34005 679 227 greater great JJR A34005 679 228 then then RB A34005 679 229 a a DT A34005 679 230 Quadrant Quadrant NNP A34005 679 231 ; ; : A34005 679 232 Lastly lastly RB A34005 679 233 , , , A34005 679 234 if if IN A34005 679 235 both both DT A34005 679 236 the the DT A34005 679 237 Hipotenusal Hipotenusal NNP A34005 679 238 , , , A34005 679 239 and and CC A34005 679 240 the the DT A34005 679 241 side side NN A34005 679 242 given give VBN A34005 679 243 be be VB A34005 679 244 greater great JJR A34005 679 245 then then RB A34005 679 246 a a DT A34005 679 247 Quadrant Quadrant NNP A34005 679 248 , , , A34005 679 249 the the DT A34005 679 250 side side NN A34005 679 251 found find VBN A34005 679 252 will will MD A34005 679 253 be be VB A34005 679 254 less less JJR A34005 679 255 then then RB A34005 679 256 a a DT A34005 679 257 Quadrant Quadrant NNP A34005 679 258 , , , A34005 679 259 but but CC A34005 679 260 greater great JJR A34005 679 261 if if IN A34005 679 262 the the DT A34005 679 263 Hipotenusal Hipotenusal NNP A34005 679 264 be be VB A34005 679 265 greater great JJR A34005 679 266 then then RB A34005 679 267 a a DT A34005 679 268 Quadrant Quadrant NNP A34005 679 269 , , , A34005 679 270 and and CC A34005 679 271 the the DT A34005 679 272 given give VBN A34005 679 273 side side NN A34005 679 274 less less RBR A34005 679 275 . . . A34005 680 1 11 11 CD A34005 680 2 . . . A34005 681 1 To to TO A34005 681 2 find find VB A34005 681 3 a a DT A34005 681 4 Side side NN A34005 681 5 . . . A34005 682 1 Given give VBN A34005 682 2 a a DT A34005 682 3 Side side NN A34005 682 4 , , , A34005 682 5 and and CC A34005 682 6 an an DT A34005 682 7 Angle Angle NNP A34005 682 8 opposite opposite IN A34005 682 9 to to IN A34005 682 10 the the DT A34005 682 11 Side side NN A34005 682 12 sought seek VBN A34005 682 13 As as IN A34005 682 14 Radius radius NN A34005 682 15 : : : A34005 682 16 To to TO A34005 682 17 sine sine VB A34005 682 18 given give VBN A34005 682 19 side side NN A34005 682 20 ∷ ∷ NNP A34005 682 21 So so RB A34005 682 22 tangent tangent NN A34005 682 23 given give VBN A34005 682 24 angle angle NN A34005 682 25 : : : A34005 682 26 To to TO A34005 682 27 tangent tangent NN A34005 682 28 of of IN A34005 682 29 the the DT A34005 682 30 side side NN A34005 682 31 sought seek VBN A34005 682 32 As as IN A34005 682 33 the the DT A34005 682 34 sine sine NN A34005 682 35 of of IN A34005 682 36 the the DT A34005 682 37 given give VBN A34005 682 38 side side NN A34005 682 39 : : : A34005 682 40 To to IN A34005 682 41 Radius Radius NNP A34005 682 42 ∷ ∷ NNP A34005 682 43 So so RB A34005 682 44 Cotangent Cotangent NNP A34005 682 45 of of IN A34005 682 46 the the DT A34005 682 47 given give VBN A34005 682 48 angle angle NN A34005 682 49 : : : A34005 682 50 To to IN A34005 682 51 Cotangent Cotangent NNP A34005 682 52 of of IN A34005 682 53 the the DT A34005 682 54 side side NN A34005 682 55 sought seek VBN A34005 682 56 As as IN A34005 682 57 the the DT A34005 682 58 Cotangent Cotangent NNP A34005 682 59 of of IN A34005 682 60 the the DT A34005 682 61 given give VBN A34005 682 62 angle angle NN A34005 682 63 : : : A34005 682 64 To to IN A34005 682 65 Radius Radius NNP A34005 682 66 ∷ ∷ NNP A34005 682 67 So so RB A34005 682 68 sine sine RB A34005 682 69 of of IN A34005 682 70 the the DT A34005 682 71 given give VBN A34005 682 72 side side NN A34005 682 73 : : : A34005 682 74 To to IN A34005 682 75 the the DT A34005 682 76 tangent tangent NN A34005 682 77 of of IN A34005 682 78 the the DT A34005 682 79 side side NN A34005 682 80 sought seek VBN A34005 682 81 As as IN A34005 682 82 the the DT A34005 682 83 tangent tangent NN A34005 682 84 of of IN A34005 682 85 the the DT A34005 682 86 given give VBN A34005 682 87 angle angle NN A34005 682 88 : : : A34005 682 89 To to IN A34005 682 90 Radius Radius NNP A34005 682 91 ∷ ∷ NNP A34005 682 92 So so RB A34005 682 93 Cosecant Cosecant NNP A34005 682 94 of of IN A34005 682 95 the the DT A34005 682 96 given give VBN A34005 682 97 side side NN A34005 682 98 : : : A34005 682 99 To to IN A34005 682 100 Cotangent Cotangent NNP A34005 682 101 of of IN A34005 682 102 the the DT A34005 682 103 side side NN A34005 682 104 sought seek VBN A34005 682 105 As as IN A34005 682 106 the the DT A34005 682 107 Radius radius NN A34005 682 108 : : : A34005 682 109 To to IN A34005 682 110 Cosecant Cosecant NNP A34005 682 111 of of IN A34005 682 112 the the DT A34005 682 113 given give VBN A34005 682 114 side side NN A34005 682 115 ∷ ∷ NNP A34005 682 116 So so RB A34005 682 117 Cotang Cotang NNP A34005 682 118 of of IN A34005 682 119 the the DT A34005 682 120 given give VBN A34005 682 121 angle angle NN A34005 682 122 : : : A34005 682 123 To to IN A34005 682 124 Cotangent Cotangent NNP A34005 682 125 of of IN A34005 682 126 the the DT A34005 682 127 side side NN A34005 682 128 sought seek VBN A34005 682 129 As as IN A34005 682 130 the the DT A34005 682 131 Cosecant Cosecant NNP A34005 682 132 of of IN A34005 682 133 the the DT A34005 682 134 given give VBN A34005 682 135 side side NN A34005 682 136 : : : A34005 682 137 To to IN A34005 682 138 Radius Radius NNP A34005 682 139 ∷ ∷ NNP A34005 682 140 So so RB A34005 682 141 tangent tangent NN A34005 682 142 of of IN A34005 682 143 the the DT A34005 682 144 given give VBN A34005 682 145 angle angle NN A34005 682 146 : : : A34005 682 147 To to TO A34005 682 148 tangent tangent NN A34005 682 149 of of IN A34005 682 150 the the DT A34005 682 151 side side NN A34005 682 152 sought seek VBD A34005 682 153 The the DT A34005 682 154 side side NN A34005 682 155 found find VBN A34005 682 156 will will MD A34005 682 157 be be VB A34005 682 158 less less JJR A34005 682 159 then then RB A34005 682 160 a a DT A34005 682 161 Quadrant Quadrant NNP A34005 682 162 , , , A34005 682 163 if if IN A34005 682 164 the the DT A34005 682 165 given give VBN A34005 682 166 Angle Angle NNP A34005 682 167 opposite opposite JJ A34005 682 168 thereto thereto NN A34005 682 169 be be VB A34005 682 170 Acute acute JJ A34005 682 171 , , , A34005 682 172 but but CC A34005 682 173 greater great JJR A34005 682 174 if if IN A34005 682 175 Obtuse Obtuse NNP A34005 682 176 . . . A34005 683 1 12 12 CD A34005 683 2 . . . A34005 684 1 To to TO A34005 684 2 find find VB A34005 684 3 a a DT A34005 684 4 Side side NN A34005 684 5 . . . A34005 685 1 Given give VBN A34005 685 2 both both CC A34005 685 3 the the DT A34005 685 4 Oblique Oblique NNP A34005 685 5 Angles Angles NNP A34005 685 6 . . . A34005 686 1 As as IN A34005 686 2 the the DT A34005 686 3 sine sine NN A34005 686 4 of of IN A34005 686 5 the the DT A34005 686 6 angle angle NN A34005 686 7 adjacent adjacent JJ A34005 686 8 to to IN A34005 686 9 side side NN A34005 686 10 sought seek VBD A34005 686 11 : : : A34005 686 12 Is be VBZ A34005 686 13 to to IN A34005 686 14 Radius Radius NNP A34005 686 15 ∷ ∷ NNP A34005 686 16 So so RB A34005 686 17 Cosine Cosine NNP A34005 686 18 of of IN A34005 686 19 the the DT A34005 686 20 angle angle NN A34005 686 21 opposite opposite RB A34005 686 22 to to IN A34005 686 23 side side NN A34005 686 24 sought seek VBN A34005 686 25 : : : A34005 686 26 To to IN A34005 686 27 Cosine Cosine NNP A34005 686 28 of of IN A34005 686 29 the the DT A34005 686 30 side side NN A34005 686 31 sought seek VBN A34005 686 32 As as IN A34005 686 33 the the DT A34005 686 34 Radius radius NN A34005 686 35 : : : A34005 686 36 To to IN A34005 686 37 Secant Secant NNP A34005 686 38 of of IN A34005 686 39 the the DT A34005 686 40 angle angle NN A34005 686 41 opposite opposite RB A34005 686 42 to to IN A34005 686 43 side side NN A34005 686 44 sought seek VBD A34005 686 45 ∷ ∷ PRP A34005 686 46 So so RB A34005 686 47 sine sine NN A34005 686 48 of of IN A34005 686 49 the the DT A34005 686 50 angle angle NN A34005 686 51 adjacent adjacent JJ A34005 686 52 to to IN A34005 686 53 the the DT A34005 686 54 side side NN A34005 686 55 sought seek VBN A34005 686 56 : : : A34005 686 57 To to IN A34005 686 58 Secant Secant NNP A34005 686 59 of of IN A34005 686 60 the the DT A34005 686 61 side side NN A34005 686 62 sought seek VBN A34005 686 63 As as IN A34005 686 64 Radius radius NN A34005 686 65 : : : A34005 686 66 To to IN A34005 686 67 Cosecant Cosecant NNP A34005 686 68 of of IN A34005 686 69 the the DT A34005 686 70 angle angle NN A34005 686 71 adjacent adjacent JJ A34005 686 72 to to TO A34005 686 73 side side NN A34005 686 74 sought seek VBD A34005 686 75 ∷ ∷ NNP A34005 686 76 So so RB A34005 686 77 Cosine Cosine NNP A34005 686 78 of of IN A34005 686 79 the the DT A34005 686 80 angle angle NN A34005 686 81 opposite opposite RB A34005 686 82 to to IN A34005 686 83 side side NN A34005 686 84 sought seek VBN A34005 686 85 : : : A34005 686 86 To to IN A34005 686 87 Cosine Cosine NNP A34005 686 88 of of IN A34005 686 89 the the DT A34005 686 90 side side NN A34005 686 91 sought seek VBN A34005 686 92 As as IN A34005 686 93 the the DT A34005 686 94 Cosine Cosine NNP A34005 686 95 of of IN A34005 686 96 the the DT A34005 686 97 angle angle NN A34005 686 98 opposite opposite RB A34005 686 99 to to IN A34005 686 100 side side NN A34005 686 101 sought seek VBN A34005 686 102 : : : A34005 686 103 To to IN A34005 686 104 Radius Radius NNP A34005 686 105 ∷ ∷ NNP A34005 686 106 So so RB A34005 686 107 side side NN A34005 686 108 of of IN A34005 686 109 the the DT A34005 686 110 angle angle NN A34005 686 111 adjacent adjacent JJ A34005 686 112 to to IN A34005 686 113 the the DT A34005 686 114 side side NN A34005 686 115 sought seek VBN A34005 686 116 : : : A34005 686 117 To to IN A34005 686 118 Secant Secant NNP A34005 686 119 of of IN A34005 686 120 the the DT A34005 686 121 side side NN A34005 686 122 sought seek VBN A34005 686 123 As as IN A34005 686 124 the the DT A34005 686 125 Secant secant NN A34005 686 126 of of IN A34005 686 127 the the DT A34005 686 128 angle angle NN A34005 686 129 opposite opposite RB A34005 686 130 to to IN A34005 686 131 side side NN A34005 686 132 sought seek VBN A34005 686 133 : : : A34005 686 134 To to IN A34005 686 135 Radius Radius NNP A34005 686 136 ∷ ∷ NNP A34005 686 137 So so RB A34005 686 138 Cosecant Cosecant NNP A34005 686 139 of of IN A34005 686 140 the the DT A34005 686 141 angle angle NN A34005 686 142 adjacent adjacent JJ A34005 686 143 to to IN A34005 686 144 the the DT A34005 686 145 side side NN A34005 686 146 sought seek VBN A34005 686 147 : : : A34005 686 148 To to IN A34005 686 149 Cosine Cosine NNP A34005 686 150 of of IN A34005 686 151 the the DT A34005 686 152 side side NN A34005 686 153 sought seek VBN A34005 686 154 As as IN A34005 686 155 Cosecant Cosecant NNP A34005 686 156 of of IN A34005 686 157 the the DT A34005 686 158 angle angle NN A34005 686 159 adjacent adjacent JJ A34005 686 160 to to IN A34005 686 161 side side NN A34005 686 162 sought seek VBN A34005 686 163 : : : A34005 686 164 To to IN A34005 686 165 Radius Radius NNP A34005 686 166 ∷ ∷ NNP A34005 686 167 So so RB A34005 686 168 Secant secant NN A34005 686 169 of of IN A34005 686 170 the the DT A34005 686 171 angle angle NN A34005 686 172 opposite opposite RB A34005 686 173 to to IN A34005 686 174 side side NN A34005 686 175 sought seek VBN A34005 686 176 : : : A34005 686 177 To to IN A34005 686 178 Secant Secant NNP A34005 686 179 of of IN A34005 686 180 the the DT A34005 686 181 side side NN A34005 686 182 sought seek VBD A34005 686 183 The the DT A34005 686 184 side side NN A34005 686 185 found find VBN A34005 686 186 will will MD A34005 686 187 be be VB A34005 686 188 less less JJR A34005 686 189 then then RB A34005 686 190 a a DT A34005 686 191 Quadrant Quadrant NNP A34005 686 192 , , , A34005 686 193 if if IN A34005 686 194 the the DT A34005 686 195 given give VBN A34005 686 196 angle angle NN A34005 686 197 Opposite Opposite NNP A34005 686 198 thereto thereto NN A34005 686 199 be be VB A34005 686 200 Acute acute JJ A34005 686 201 , , , A34005 686 202 but but CC A34005 686 203 greater great JJR A34005 686 204 if if IN A34005 686 205 Obtuse Obtuse NNP A34005 686 206 . . . A34005 687 1 13 13 CD A34005 687 2 . . . A34005 688 1 To to TO A34005 688 2 find find VB A34005 688 3 the the DT A34005 688 4 Hipotenusal Hipotenusal NNP A34005 688 5 . . . A34005 689 1 Given give VBN A34005 689 2 a a DT A34005 689 3 side side NN A34005 689 4 and and CC A34005 689 5 an an DT A34005 689 6 Angle angle NN A34005 689 7 adjacent adjacent JJ A34005 689 8 thereto thereto NN A34005 689 9 . . . A34005 690 1 As as IN A34005 690 2 the the DT A34005 690 3 Radius radius NN A34005 690 4 : : : A34005 690 5 To to IN A34005 690 6 Cosine Cosine NNP A34005 690 7 of of IN A34005 690 8 the the DT A34005 690 9 given give VBN A34005 690 10 angle angle NN A34005 690 11 ∷ ∷ NNP A34005 690 12 So so RB A34005 690 13 Cotangent Cotangent NNP A34005 690 14 of of IN A34005 690 15 the the DT A34005 690 16 given give VBN A34005 690 17 side side NN A34005 690 18 To to IN A34005 690 19 Cotang Cotang NNP A34005 690 20 of of IN A34005 690 21 the the DT A34005 690 22 Hipotenusal Hipotenusal NNP A34005 690 23 As as IN A34005 690 24 the the DT A34005 690 25 Cosine Cosine NNP A34005 690 26 of of IN A34005 690 27 the the DT A34005 690 28 given give VBN A34005 690 29 angle angle NN A34005 690 30 : : : A34005 690 31 To to IN A34005 690 32 Radius Radius NNP A34005 690 33 ∷ ∷ NNP A34005 690 34 So so RB A34005 690 35 tangent tangent NN A34005 690 36 of of IN A34005 690 37 the the DT A34005 690 38 given give VBN A34005 690 39 side side NN A34005 690 40 : : : A34005 690 41 To to TO A34005 690 42 tangent tangent NN A34005 690 43 of of IN A34005 690 44 the the DT A34005 690 45 Hipotenusal Hipotenusal NNP A34005 690 46 As as IN A34005 690 47 the the DT A34005 690 48 tangent tangent NN A34005 690 49 of of IN A34005 690 50 the the DT A34005 690 51 given give VBN A34005 690 52 side side NN A34005 690 53 To to IN A34005 690 54 Radius Radius NNP A34005 690 55 ∷ ∷ NNP A34005 690 56 So so RB A34005 690 57 Cosine Cosine NNP A34005 690 58 given give VBN A34005 690 59 angle angle NN A34005 690 60 : : : A34005 690 61 To to IN A34005 690 62 Cotangent Cotangent NNP A34005 690 63 of of IN A34005 690 64 the the DT A34005 690 65 Hipotenusal Hipotenusal NNP A34005 690 66 As as IN A34005 690 67 Radius Radius NNP A34005 690 68 : : : A34005 690 69 To to IN A34005 690 70 Secant Secant NNP A34005 690 71 of of IN A34005 690 72 the the DT A34005 690 73 given give VBN A34005 690 74 angle angle NN A34005 690 75 ∷ ∷ NNP A34005 690 76 So so RB A34005 690 77 tangent tangent NN A34005 690 78 of of IN A34005 690 79 the the DT A34005 690 80 given give VBN A34005 690 81 side side NN A34005 690 82 ; ; : A34005 690 83 To to IN A34005 690 84 the the DT A34005 690 85 tangent tangent NN A34005 690 86 of of IN A34005 690 87 the the DT A34005 690 88 Hipotenusal Hipotenusal NNP A34005 690 89 As as IN A34005 690 90 the the DT A34005 690 91 Secant secant NN A34005 690 92 of of IN A34005 690 93 the the DT A34005 690 94 given give VBN A34005 690 95 angle angle NN A34005 690 96 : : : A34005 690 97 To to IN A34005 690 98 Radius Radius NNP A34005 690 99 ∷ ∷ NNP A34005 690 100 So so RB A34005 690 101 Cotang Cotang NNP A34005 690 102 of of IN A34005 690 103 given give VBN A34005 690 104 side side NN A34005 690 105 : : : A34005 690 106 To to IN A34005 690 107 the the DT A34005 690 108 Cotang Cotang NNP A34005 690 109 of of IN A34005 690 110 the the DT A34005 690 111 Hipotenusal Hipotenusal NNP A34005 690 112 As as IN A34005 690 113 the the DT A34005 690 114 Cotangent cotangent NN A34005 690 115 of of IN A34005 690 116 given give VBN A34005 690 117 side side NN A34005 690 118 : : : A34005 690 119 To to IN A34005 690 120 Radius Radius NNP A34005 690 121 ∷ ∷ NNP A34005 690 122 So so RB A34005 690 123 Secant secant NN A34005 690 124 of of IN A34005 690 125 the the DT A34005 690 126 given give VBN A34005 690 127 angle angle NN A34005 690 128 : : : A34005 690 129 To to TO A34005 690 130 tangent tangent NN A34005 690 131 of of IN A34005 690 132 the the DT A34005 690 133 Hipotenusal Hipotenusal NNP A34005 690 134 The The NNP A34005 690 135 Hipotenusal Hipotenusal NNP A34005 690 136 found find VBD A34005 690 137 will will MD A34005 690 138 be be VB A34005 690 139 less less JJR A34005 690 140 then then RB A34005 690 141 a a DT A34005 690 142 Quadrant Quadrant NNP A34005 690 143 , , , A34005 690 144 if if IN A34005 690 145 the the DT A34005 690 146 given give VBN A34005 690 147 side side NN A34005 690 148 be be VB A34005 690 149 less less JJR A34005 690 150 then then RB A34005 690 151 a a DT A34005 690 152 Quadrant Quadrant NNP A34005 690 153 , , , A34005 690 154 and and CC A34005 690 155 the the DT A34005 690 156 angle angle NN A34005 690 157 given give VBN A34005 690 158 adjacent adjacent JJ A34005 690 159 thereto thereto NN A34005 690 160 Acute Acute NNP A34005 690 161 ; ; : A34005 690 162 As as RB A34005 690 163 also also RB A34005 690 164 if if IN A34005 690 165 the the DT A34005 690 166 given give VBN A34005 690 167 side side NN A34005 690 168 be be VB A34005 690 169 greater great JJR A34005 690 170 then then RB A34005 690 171 a a DT A34005 690 172 Quadrant Quadrant NNP A34005 690 173 , , , A34005 690 174 and and CC A34005 690 175 the the DT A34005 690 176 given give VBN A34005 690 177 angle angle NN A34005 690 178 adjacent adjacent JJ A34005 690 179 thereto thereto NN A34005 690 180 be be VBP A34005 690 181 Obtuse Obtuse NNP A34005 690 182 . . . A34005 691 1 But but CC A34005 691 2 it -PRON- PRP A34005 691 3 will will MD A34005 691 4 be be VB A34005 691 5 greater great JJR A34005 691 6 then then RB A34005 691 7 a a DT A34005 691 8 Quadrant Quadrant NNP A34005 691 9 , , , A34005 691 10 if if IN A34005 691 11 the the DT A34005 691 12 given give VBN A34005 691 13 side side NN A34005 691 14 be be VB A34005 691 15 greater great JJR A34005 691 16 then then RB A34005 691 17 a a DT A34005 691 18 Quadrant Quadrant NNP A34005 691 19 , , , A34005 691 20 and and CC A34005 691 21 the the DT A34005 691 22 given give VBN A34005 691 23 Angle Angle NNP A34005 691 24 adjacent adjacent JJ A34005 691 25 thereto thereto NN A34005 691 26 Acute Acute NNP A34005 691 27 ; ; : A34005 691 28 As as IN A34005 691 29 also also RB A34005 691 30 when when WRB A34005 691 31 the the DT A34005 691 32 given give VBN A34005 691 33 side side NN A34005 691 34 is be VBZ A34005 691 35 less less JJR A34005 691 36 then then RB A34005 691 37 a a DT A34005 691 38 Quadrant Quadrant NNP A34005 691 39 , , , A34005 691 40 and and CC A34005 691 41 the the DT A34005 691 42 given give VBN A34005 691 43 Angle Angle NNP A34005 691 44 Obtuse Obtuse NNP A34005 691 45 . . . A34005 692 1 14 14 CD A34005 692 2 . . . A34005 693 1 To to TO A34005 693 2 find find VB A34005 693 3 the the DT A34005 693 4 Hipotenusal Hipotenusal NNP A34005 693 5 Given give VBN A34005 693 6 a a DT A34005 693 7 Side side NN A34005 693 8 , , , A34005 693 9 and and CC A34005 693 10 an an DT A34005 693 11 angle angle NN A34005 693 12 Opposite opposite JJ A34005 693 13 thereto thereto NN A34005 693 14 . . . A34005 694 1 If if IN A34005 694 2 it -PRON- PRP A34005 694 3 be be VB A34005 694 4 fore fore RB A34005 694 5 - - HYPH A34005 694 6 known know VBN A34005 694 7 whether whether IN A34005 694 8 the the DT A34005 694 9 Hipotenusal Hipotenusal NNP A34005 694 10 be be VB A34005 694 11 greater great JJR A34005 694 12 or or CC A34005 694 13 less less JJR A34005 694 14 then then RB A34005 694 15 a a DT A34005 694 16 Quadrant Quadrant NNP A34005 694 17 , , , A34005 694 18 or or CC A34005 694 19 whether whether IN A34005 694 20 the the DT A34005 694 21 other other JJ A34005 694 22 angle angle NN A34005 694 23 not not RB A34005 694 24 given give VBN A34005 694 25 be be VB A34005 694 26 Acute acute JJ A34005 694 27 or or CC A34005 694 28 Obtuse Obtuse NNP A34005 694 29 ; ; : A34005 694 30 Or or CC A34005 694 31 lastly lastly RB A34005 694 32 , , , A34005 694 33 whether whether IN A34005 694 34 the the DT A34005 694 35 other other JJ A34005 694 36 side side NN A34005 694 37 not not RB A34005 694 38 given give VBN A34005 694 39 , , , A34005 694 40 be be VB A34005 694 41 greater great JJR A34005 694 42 or or CC A34005 694 43 less less JJR A34005 694 44 then then RB A34005 694 45 a a DT A34005 694 46 Quadrant Quadrant NNP A34005 694 47 . . . A34005 695 1 As as IN A34005 695 2 the the DT A34005 695 3 sine sine NN A34005 695 4 of of IN A34005 695 5 the the DT A34005 695 6 given give VBN A34005 695 7 angle angle NN A34005 695 8 : : : A34005 695 9 To to IN A34005 695 10 Radius Radius NNP A34005 695 11 ∷ ∷ NNP A34005 695 12 So so RB A34005 695 13 sine sine RB A34005 695 14 of of IN A34005 695 15 the the DT A34005 695 16 given give VBN A34005 695 17 side side NN A34005 695 18 : : : A34005 695 19 To to IN A34005 695 20 the the DT A34005 695 21 sine sine NN A34005 695 22 of of IN A34005 695 23 the the DT A34005 695 24 Hipotenusal Hipotenusal NNP A34005 695 25 As as IN A34005 695 26 the the DT A34005 695 27 Radius radius NN A34005 695 28 : : : A34005 695 29 To to IN A34005 695 30 Cosecant Cosecant NNP A34005 695 31 of of IN A34005 695 32 angle angle NN A34005 695 33 given give VBN A34005 695 34 ∷ ∷ NNP A34005 695 35 So so RB A34005 695 36 sine sine NN A34005 695 37 of of IN A34005 695 38 the the DT A34005 695 39 given give VBN A34005 695 40 side side NN A34005 695 41 : : : A34005 695 42 To to IN A34005 695 43 the the DT A34005 695 44 sine sine NN A34005 695 45 of of IN A34005 695 46 the the DT A34005 695 47 Hopotenusal Hopotenusal NNP A34005 695 48 As as IN A34005 695 49 Radius Radius NNP A34005 695 50 : : : A34005 695 51 To to IN A34005 695 52 Cosecant cosecant JJ A34005 695 53 given give VBN A34005 695 54 side side NN A34005 695 55 ∷ ∷ NNP A34005 695 56 So so RB A34005 695 57 sine sine RB A34005 695 58 of of IN A34005 695 59 the the DT A34005 695 60 given give VBN A34005 695 61 angle angle NN A34005 695 62 : : : A34005 695 63 To to IN A34005 695 64 Cosecant Cosecant NNP A34005 695 65 of of IN A34005 695 66 the the DT A34005 695 67 Hipotenusal Hipotenusal NNP A34005 695 68 As as IN A34005 695 69 the the DT A34005 695 70 sine sine NN A34005 695 71 of of IN A34005 695 72 the the DT A34005 695 73 given give VBN A34005 695 74 side side NN A34005 695 75 : : : A34005 695 76 To to IN A34005 695 77 Radius Radius NNP A34005 695 78 ∷ ∷ NNP A34005 695 79 So so RB A34005 695 80 sine sine RB A34005 695 81 of of IN A34005 695 82 the the DT A34005 695 83 given give VBN A34005 695 84 angle angle NN A34005 695 85 : : : A34005 695 86 To to IN A34005 695 87 Cosecant Cosecant NNP A34005 695 88 of of IN A34005 695 89 the the DT A34005 695 90 Hipotenusal Hipotenusal NNP A34005 695 91 As as IN A34005 695 92 Cosecant Cosecant NNP A34005 695 93 of of IN A34005 695 94 given give VBN A34005 695 95 side side NN A34005 695 96 : : : A34005 695 97 To to IN A34005 695 98 Radius Radius NNP A34005 695 99 ∷ ∷ NNP A34005 695 100 So so RB A34005 695 101 Cosecant Cosecant NNP A34005 695 102 of of IN A34005 695 103 the the DT A34005 695 104 given give VBN A34005 695 105 angle angle NN A34005 695 106 : : : A34005 695 107 To to TO A34005 695 108 sine sine VB A34005 695 109 of of IN A34005 695 110 the the DT A34005 695 111 Hipotenusal Hipotenusal NNP A34005 695 112 As as IN A34005 695 113 Cosecant Cosecant NNP A34005 695 114 of of IN A34005 695 115 the the DT A34005 695 116 given give VBN A34005 695 117 angle angle NN A34005 695 118 : : : A34005 695 119 To to IN A34005 695 120 Radius Radius NNP A34005 695 121 ∷ ∷ NNP A34005 695 122 So so RB A34005 695 123 the the DT A34005 695 124 Cosecant Cosecant NNP A34005 695 125 of of IN A34005 695 126 the the DT A34005 695 127 given give VBN A34005 695 128 side side NN A34005 695 129 : : : A34005 695 130 To to IN A34005 695 131 Cosecant Cosecant NNP A34005 695 132 of of IN A34005 695 133 the the DT A34005 695 134 Hipotenusal Hipotenusal NNP A34005 695 135 The The NNP A34005 695 136 Hipotenusal Hipotenusal NNP A34005 695 137 found find VBD A34005 695 138 will will MD A34005 695 139 be be VB A34005 695 140 less less JJR A34005 695 141 then then RB A34005 695 142 a a DT A34005 695 143 Quadrant Quadrant NNP A34005 695 144 , , , A34005 695 145 if if IN A34005 695 146 both both CC A34005 695 147 the the DT A34005 695 148 Oblique Oblique NNP A34005 695 149 Angles Angles NNPS A34005 695 150 be be VB A34005 695 151 Acute acute JJ A34005 695 152 or or CC A34005 695 153 Obtuse Obtuse NNP A34005 695 154 , , , A34005 695 155 or or CC A34005 695 156 if if IN A34005 695 157 both both DT A34005 695 158 the the DT A34005 695 159 sides side NNS A34005 695 160 be be VB A34005 695 161 greater great JJR A34005 695 162 or or CC A34005 695 163 less less RBR A34005 695 164 then then RB A34005 695 165 Quadrants Quadrants NNPS A34005 695 166 . . . A34005 696 1 It -PRON- PRP A34005 696 2 will will MD A34005 696 3 also also RB A34005 696 4 be be VB A34005 696 5 greater great JJR A34005 696 6 then then RB A34005 696 7 a a DT A34005 696 8 Quadrant Quadrant NNP A34005 696 9 , , , A34005 696 10 if if IN A34005 696 11 one one CD A34005 696 12 of of IN A34005 696 13 the the DT A34005 696 14 Oblique Oblique NNP A34005 696 15 Angles Angles NNPS A34005 696 16 be be VB A34005 696 17 Acute acute JJ A34005 696 18 , , , A34005 696 19 and and CC A34005 696 20 the the DT A34005 696 21 other other JJ A34005 696 22 Obtuse Obtuse NNP A34005 696 23 , , , A34005 696 24 or or CC A34005 696 25 if if IN A34005 696 26 one one CD A34005 696 27 of of IN A34005 696 28 the the DT A34005 696 29 sides side NNS A34005 696 30 be be VB A34005 696 31 less less JJR A34005 696 32 and and CC A34005 696 33 the the DT A34005 696 34 other other JJ A34005 696 35 greater great JJR A34005 696 36 then then RB A34005 696 37 a a DT A34005 696 38 Quadrant Quadrant NNP A34005 696 39 : : : A34005 696 40 15 15 CD A34005 696 41 . . . A34005 697 1 To to TO A34005 697 2 find find VB A34005 697 3 the the DT A34005 697 4 Hipotenusal Hipotenusal NNP A34005 697 5 , , , A34005 697 6 Given give VBN A34005 697 7 both both CC A34005 697 8 the the DT A34005 697 9 sides side NNS A34005 697 10 , , , A34005 697 11 distinguished distinguish VBN A34005 697 12 by by IN A34005 697 13 the the DT A34005 697 14 names name NNS A34005 697 15 of of IN A34005 697 16 first first JJ A34005 697 17 and and CC A34005 697 18 second second JJ A34005 697 19 . . . A34005 698 1 As as IN A34005 698 2 Radius radius NN A34005 698 3 : : : A34005 698 4 To to IN A34005 698 5 Cosine Cosine NNP A34005 698 6 1st 1st NN A34005 698 7 side side NN A34005 698 8 ∷ ∷ NNP A34005 698 9 So so RB A34005 698 10 Cosine Cosine NNP A34005 698 11 2d 2d NNP A34005 698 12 side side NN A34005 698 13 : : : A34005 698 14 To to IN A34005 698 15 Cosine Cosine NNP A34005 698 16 of of IN A34005 698 17 the the DT A34005 698 18 Hipotenusal Hipotenusal NNP A34005 698 19 As as IN A34005 698 20 Radius Radius NNP A34005 698 21 : : : A34005 698 22 To to IN A34005 698 23 Secant secant JJ A34005 698 24 1st 1st NN A34005 698 25 side side NN A34005 698 26 ∷ ∷ RB A34005 698 27 So so RB A34005 698 28 Secant Secant NNP A34005 698 29 2d 2d NNP A34005 698 30 side side NN A34005 698 31 : : : A34005 698 32 To to IN A34005 698 33 Secant Secant NNP A34005 698 34 of of IN A34005 698 35 the the DT A34005 698 36 Hipotenusal Hipotenusal NNP A34005 698 37 As as IN A34005 698 38 Secant Secant NNP A34005 698 39 1st 1st NN A34005 698 40 side side NN A34005 698 41 : : : A34005 698 42 To to IN A34005 698 43 Radius Radius NNP A34005 698 44 ∷ ∷ NNP A34005 698 45 So so RB A34005 698 46 Cosine Cosine NNP A34005 698 47 of of IN A34005 698 48 the the DT A34005 698 49 2d 2d CD A34005 698 50 side side NN A34005 698 51 : : : A34005 698 52 To to IN A34005 698 53 Cosine Cosine NNP A34005 698 54 Hipotenusal Hipotenusal NNP A34005 698 55 As as IN A34005 698 56 Secant Secant NNP A34005 698 57 2d 2d NNP A34005 698 58 side side NN A34005 698 59 : : : A34005 698 60 To to IN A34005 698 61 Radius Radius NNP A34005 698 62 ∷ ∷ NNP A34005 698 63 So so RB A34005 698 64 Cosine Cosine NNP A34005 698 65 1st 1st NN A34005 698 66 side side NN A34005 698 67 : : : A34005 698 68 To to IN A34005 698 69 Cosine Cosine NNP A34005 698 70 of of IN A34005 698 71 the the DT A34005 698 72 Hipotenusal Hipotenusal NNP A34005 698 73 As as IN A34005 698 74 Cosine Cosine NNP A34005 698 75 1st 1st NN A34005 698 76 side side NN A34005 698 77 : : : A34005 698 78 To to IN A34005 698 79 Radius Radius NNP A34005 698 80 ∷ ∷ NNP A34005 698 81 So so RB A34005 698 82 Secant Secant NNP A34005 698 83 2d 2d NNP A34005 698 84 side side NN A34005 698 85 : : : A34005 698 86 To to IN A34005 698 87 Secant Secant NNP A34005 698 88 of of IN A34005 698 89 the the DT A34005 698 90 Hipotenusal Hipotenusal NNP A34005 698 91 As as IN A34005 698 92 Cosine Cosine NNP A34005 698 93 2d 2d NNP A34005 698 94 side side NN A34005 698 95 : : : A34005 698 96 To to IN A34005 698 97 Radius Radius NNP A34005 698 98 ∷ ∷ NNP A34005 698 99 So so RB A34005 698 100 Secant secant NN A34005 698 101 1 1 CD A34005 698 102 side side NN A34005 698 103 : : : A34005 698 104 To to IN A34005 698 105 the the DT A34005 698 106 Secant Secant NNP A34005 698 107 of of IN A34005 698 108 the the DT A34005 698 109 Hipotenusal Hipotenusal NNP A34005 698 110 The The NNP A34005 698 111 Hipotenusal Hipotenusal NNP A34005 698 112 found find VBD A34005 698 113 will will MD A34005 698 114 be be VB A34005 698 115 less less JJR A34005 698 116 then then RB A34005 698 117 a a DT A34005 698 118 Quadrant Quadrant NNP A34005 698 119 , , , A34005 698 120 if if IN A34005 698 121 both both DT A34005 698 122 the the DT A34005 698 123 Sides side NNS A34005 698 124 are be VBP A34005 698 125 less less JJR A34005 698 126 or or CC A34005 698 127 greater great JJR A34005 698 128 ; ; : A34005 698 129 But but CC A34005 698 130 otherwise otherwise RB A34005 698 131 , , , A34005 698 132 it -PRON- PRP A34005 698 133 will will MD A34005 698 134 be be VB A34005 698 135 greater great JJR A34005 698 136 , , , A34005 698 137 if if IN A34005 698 138 one one CD A34005 698 139 be be VB A34005 698 140 less less JJR A34005 698 141 and and CC A34005 698 142 the the DT A34005 698 143 other other JJ A34005 698 144 greater great JJR A34005 698 145 . . . A34005 699 1 16 16 CD A34005 699 2 . . . A34005 700 1 To to TO A34005 700 2 find find VB A34005 700 3 the the DT A34005 700 4 Hipotenusal Hipotenusal NNP A34005 700 5 . . . A34005 701 1 Given give VBN A34005 701 2 both both CC A34005 701 3 the the DT A34005 701 4 Oblique Oblique NNP A34005 701 5 Angles Angles NNP A34005 701 6 , , , A34005 701 7 distinguisht distinguisht VBN A34005 701 8 by by IN A34005 701 9 the the DT A34005 701 10 names name NNS A34005 701 11 of of IN A34005 701 12 the the DT A34005 701 13 first first JJ A34005 701 14 and and CC A34005 701 15 second second JJ A34005 701 16 . . . A34005 702 1 As as IN A34005 702 2 Radius radius NN A34005 702 3 : : : A34005 702 4 To to IN A34005 702 5 Cotangent Cotangent NNP A34005 702 6 1st 1st NN A34005 702 7 angle angle NN A34005 702 8 ∷ ∷ NNP A34005 702 9 So so RB A34005 702 10 Cotangent Cotangent NNP A34005 702 11 2d 2d NNP A34005 702 12 angle angle NN A34005 702 13 : : : A34005 702 14 To to IN A34005 702 15 Cosine Cosine NNP A34005 702 16 of of IN A34005 702 17 the the DT A34005 702 18 Hipot Hipot NNP A34005 702 19 : : : A34005 702 20 As as IN A34005 702 21 the the DT A34005 702 22 tangent tangent NN A34005 702 23 1st 1st JJ A34005 702 24 angle angle NN A34005 702 25 : : : A34005 702 26 To to IN A34005 702 27 Radius Radius NNP A34005 702 28 ∷ ∷ NNP A34005 702 29 So so RB A34005 702 30 Cotangent Cotangent NNP A34005 702 31 2d 2d NNP A34005 702 32 angle angle NN A34005 702 33 : : : A34005 702 34 To to IN A34005 702 35 Cosine Cosine NNP A34005 702 36 of of IN A34005 702 37 Hipoten Hipoten NNP A34005 702 38 : : : A34005 702 39 As as IN A34005 702 40 tangent tangent NN A34005 702 41 of of IN A34005 702 42 2d 2d CD A34005 702 43 angle angle NN A34005 702 44 : : : A34005 702 45 To to IN A34005 702 46 Radius Radius NNP A34005 702 47 ∷ ∷ NNP A34005 702 48 So so RB A34005 702 49 Cotangent Cotangent NNP A34005 702 50 1st 1st NN A34005 702 51 angle angle NN A34005 702 52 : : : A34005 702 53 To to IN A34005 702 54 Cosine Cosine NNP A34005 702 55 Hipotenusal Hipotenusal NNP A34005 702 56 As as IN A34005 702 57 the the DT A34005 702 58 Radius radius NN A34005 702 59 : : : A34005 702 60 To to TO A34005 702 61 tangent tangent VB A34005 702 62 2d 2d CD A34005 702 63 angle angle NN A34005 702 64 ∷ ∷ NNP A34005 702 65 So so RB A34005 702 66 tangent tangent NN A34005 702 67 1st 1st JJ A34005 702 68 angle angle NN A34005 702 69 : : : A34005 702 70 To to IN A34005 702 71 Secant Secant NNP A34005 702 72 of of IN A34005 702 73 the the DT A34005 702 74 Hipot Hipot NNP A34005 702 75 : : : A34005 702 76 As as IN A34005 702 77 Cotangent Cotangent NNP A34005 702 78 2d 2d NNP A34005 702 79 angle angle NN A34005 702 80 : : : A34005 702 81 To to IN A34005 702 82 Radius radius NN A34005 702 83 : : : A34005 702 84 So so RB A34005 702 85 tangent tangent NN A34005 702 86 1st 1st JJ A34005 702 87 angle angle NN A34005 702 88 : : : A34005 702 89 To to IN A34005 702 90 Secant Secant NNP A34005 702 91 of of IN A34005 702 92 the the DT A34005 702 93 Hipotenus Hipotenus NNP A34005 702 94 ; ; : A34005 702 95 As as IN A34005 702 96 the the DT A34005 702 97 Cotangent Cotangent NNP A34005 702 98 1st 1st NN A34005 702 99 angle angle NN A34005 702 100 : : : A34005 702 101 To to IN A34005 702 102 Radius Radius NNP A34005 702 103 ∷ ∷ NNP A34005 702 104 So so RB A34005 702 105 Tangent Tangent NNP A34005 702 106 2d 2d NNP A34005 702 107 angle angle NN A34005 702 108 : : : A34005 702 109 To to IN A34005 702 110 Secant Secant NNP A34005 702 111 Hipotenus Hipotenus NNP A34005 702 112 : : : A34005 702 113 The the DT A34005 702 114 Hipotenusal Hipotenusal NNP A34005 702 115 found find VBD A34005 702 116 will will MD A34005 702 117 be be VB A34005 702 118 less less JJR A34005 702 119 then then RB A34005 702 120 a a DT A34005 702 121 Quadrant Quadrant NNP A34005 702 122 , , , A34005 702 123 if if IN A34005 702 124 both both CC A34005 702 125 the the DT A34005 702 126 Oblique oblique JJ A34005 702 127 angles angle NNS A34005 702 128 be be VB A34005 702 129 Acute acute JJ A34005 702 130 or or CC A34005 702 131 Obtuse Obtuse NNP A34005 702 132 , , , A34005 702 133 but but CC A34005 702 134 greater great JJR A34005 702 135 if if IN A34005 702 136 one one CD A34005 702 137 of of IN A34005 702 138 them -PRON- PRP A34005 702 139 be be VBP A34005 702 140 Acute acute JJ A34005 702 141 , , , A34005 702 142 and and CC A34005 702 143 the the DT A34005 702 144 other other JJ A34005 702 145 Obtuse Obtuse NNP A34005 702 146 . . . A34005 703 1 I -PRON- PRP A34005 703 2 shall shall MD A34005 703 3 not not RB A34005 703 4 spend spend VB A34005 703 5 time time NN A34005 703 6 to to IN A34005 703 7 shew shew NNP A34005 703 8 Examples Examples NNPS A34005 703 9 of of IN A34005 703 10 all all PDT A34005 703 11 these these DT A34005 703 12 Cases case NNS A34005 703 13 , , , A34005 703 14 but but CC A34005 703 15 shall shall MD A34005 703 16 onely onely RB A34005 703 17 instance instance VB A34005 703 18 in in IN A34005 703 19 an an DT A34005 703 20 Example Example NNP A34005 703 21 or or CC A34005 703 22 two two CD A34005 703 23 . . . A34005 704 1 In in IN A34005 704 2 the the DT A34005 704 3 Right Right NNP A34005 704 4 angled angle VBN A34005 704 5 Sphoerical Sphoerical NNP A34005 704 6 Triangle Triangle NNP A34005 704 7 P P NNP A34005 704 8 S S NNP A34005 704 9 N n NN A34005 704 10 , , , A34005 704 11 let let VB A34005 704 12 the the DT A34005 704 13 side side NN A34005 704 14 P p NN A34005 704 15 N n NN A34005 704 16 represent represent VBP A34005 704 17 the the DT A34005 704 18 Poles Poles NNPS A34005 704 19 height height NN A34005 704 20 , , , A34005 704 21 the the DT A34005 704 22 side side NN A34005 704 23 S s NN A34005 704 24 P P NNP A34005 704 25 the the DT A34005 704 26 Complement Complement NNP A34005 704 27 of of IN A34005 704 28 the the DT A34005 704 29 Suns Suns NNP A34005 704 30 declination declination NN A34005 704 31 , , , A34005 704 32 the the DT A34005 704 33 side side NN A34005 704 34 S s NN A34005 704 35 N N NNP A34005 704 36 the the DT A34005 704 37 Suns Suns NNPS A34005 704 38 Amplitude Amplitude NNP A34005 704 39 of of IN A34005 704 40 rising rise VBG A34005 704 41 from from IN A34005 704 42 the the DT A34005 704 43 North North NNP A34005 704 44 Meridian Meridian NNP A34005 704 45 , , , A34005 704 46 the the DT A34005 704 47 Angle Angle NNP A34005 704 48 S S NNP A34005 704 49 P p NN A34005 704 50 N N NNP A34005 704 51 the the DT A34005 704 52 time time NN A34005 704 53 of of IN A34005 704 54 Suns Suns NNPS A34005 704 55 rising rise VBG A34005 704 56 from from IN A34005 704 57 Midnight Midnight NNP A34005 704 58 , , , A34005 704 59 and and CC A34005 704 60 the the DT A34005 704 61 angle angle NN A34005 704 62 P p NN A34005 704 63 S s NN A34005 704 64 N n CC A34005 704 65 the the DT A34005 704 66 angle angle NN A34005 704 67 of of IN A34005 704 68 the the DT A34005 704 69 Suns Suns NNPS A34005 704 70 Position Position NNP A34005 704 71 ; ; : A34005 704 72 and and CC A34005 704 73 in in IN A34005 704 74 it -PRON- PRP A34005 704 75 let let VBD A34005 704 76 there there EX A34005 704 77 be be VB A34005 704 78 given give VBN A34005 704 79 the the DT A34005 704 80 side side NN A34005 704 81 P p NN A34005 704 82 N N NNP A34005 704 83 51d 51d NNS A34005 704 84 32′ 32′ CD A34005 704 85 , , , A34005 704 86 and and CC A34005 704 87 the the DT A34005 704 88 side side NN A34005 704 89 P p NN A34005 704 90 S S NNP A34005 704 91 the the DT A34005 704 92 Complement Complement NNP A34005 704 93 of of IN A34005 704 94 the the DT A34005 704 95 Suns Suns NNPS A34005 704 96 Declination Declination NNP A34005 704 97 to to TO A34005 704 98 find find VB A34005 704 99 the the DT A34005 704 100 angle angle NN A34005 704 101 S S NNP A34005 704 102 P p NN A34005 704 103 N N NNP A34005 704 104 the the DT A34005 704 105 time time NN A34005 704 106 of of IN A34005 704 107 the the DT A34005 704 108 Suns Suns NNPS A34005 704 109 rising rise VBG A34005 704 110 ; ; : A34005 704 111 then then RB A34005 704 112 in in IN A34005 704 113 this this DT A34005 704 114 Case Case NNP A34005 704 115 there there EX A34005 704 116 is be VBZ A34005 704 117 given give VBN A34005 704 118 the the DT A34005 704 119 Hipotenusal Hipotenusal NNP A34005 704 120 , , , A34005 704 121 and and CC A34005 704 122 the the DT A34005 704 123 side side NN A34005 704 124 adjacent adjacent JJ A34005 704 125 to to IN A34005 704 126 the the DT A34005 704 127 angle angle NN A34005 704 128 sought seek VBN A34005 704 129 to to TO A34005 704 130 find find VB A34005 704 131 the the DT A34005 704 132 said said JJ A34005 704 133 angle angle NN A34005 704 134 ; ; : A34005 704 135 and and CC A34005 704 136 this this DT A34005 704 137 is be VBZ A34005 704 138 the the DT A34005 704 139 2d 2d CD A34005 704 140 Case Case NNP A34005 704 141 , , , A34005 704 142 whence whence NN A34005 704 143 the the DT A34005 704 144 Proportion Proportion NNP A34005 704 145 taken take VBN A34005 704 146 is be VBZ A34005 704 147 , , , A34005 704 148 As as IN A34005 704 149 Radius Radius NNP A34005 704 150 , , , A34005 704 151 To to IN A34005 704 152 Cotangent Cotangent NNP A34005 704 153 of of IN A34005 704 154 the the DT A34005 704 155 Hipotenusal Hipotenusal NNP A34005 704 156 : : : A34005 704 157 So so CC A34005 704 158 the the DT A34005 704 159 Tangent tangent NN A34005 704 160 of of IN A34005 704 161 the the DT A34005 704 162 given give VBN A34005 704 163 side side NN A34005 704 164 , , , A34005 704 165 To to IN A34005 704 166 the the DT A34005 704 167 Cosine Cosine NNP A34005 704 168 of of IN A34005 704 169 the the DT A34005 704 170 angle angle NN A34005 704 171 sought seek VBD A34005 704 172 ; ; : A34005 704 173 and and CC A34005 704 174 so so RB A34005 704 175 the the DT A34005 704 176 Proportion proportion NN A34005 704 177 to to TO A34005 704 178 find find VB A34005 704 179 the the DT A34005 704 180 time time NN A34005 704 181 of of IN A34005 704 182 Suns Suns NNPS A34005 704 183 rising rise VBG A34005 704 184 will will MD A34005 704 185 be be VB A34005 704 186 As as IN A34005 704 187 the the DT A34005 704 188 Radius Radius NNP A34005 704 189 , , , A34005 704 190 To to IN A34005 704 191 the the DT A34005 704 192 tangent tangent NN A34005 704 193 of of IN A34005 704 194 the the DT A34005 704 195 Suns Suns NNP A34005 704 196 declination declination NN A34005 704 197 : : : A34005 704 198 So so IN A34005 704 199 the the DT A34005 704 200 tangent tangent NN A34005 704 201 of of IN A34005 704 202 the the DT A34005 704 203 Latitude Latitude NNP A34005 704 204 , , , A34005 704 205 To to IN A34005 704 206 the the DT A34005 704 207 Sine Sine NNP A34005 704 208 of of IN A34005 704 209 the the DT A34005 704 210 time time NN A34005 704 211 of of IN A34005 704 212 Suns Suns NNPS A34005 704 213 rising rise VBG A34005 704 214 before before IN A34005 704 215 6 6 CD A34005 704 216 in in IN A34005 704 217 Summer summer NN A34005 704 218 or or CC A34005 704 219 after after IN A34005 704 220 it -PRON- PRP A34005 704 221 in in IN A34005 704 222 Winter Winter NNP A34005 704 223 , , , A34005 704 224 the the DT A34005 704 225 Complement Complement NNP A34005 704 226 whereof whereof NN A34005 704 227 is be VBZ A34005 704 228 the the DT A34005 704 229 time time NN A34005 704 230 of of IN A34005 704 231 its -PRON- PRP$ A34005 704 232 rising rise VBG A34005 704 233 from from IN A34005 704 234 Midnight Midnight NNP A34005 704 235 . . . A34005 705 1 Tangent tangent NN A34005 705 2 13d 13d NNPS A34005 705 3 Suns Suns NNP A34005 705 4 declination declination NN A34005 705 5 — — : A34005 705 6 936336 936336 CD A34005 705 7 Tangent Tangent NNP A34005 705 8 51d 51d NNPS A34005 705 9 32′ 32′ CD A34005 705 10 the the DT A34005 705 11 Latitude Latitude NNP A34005 705 12 — — : A34005 705 13 1,009922 1,009922 JJ A34005 705 14 Sine Sine NNP A34005 705 15 16d 16d NNP A34005 705 16 53′ 53′ CD A34005 705 17 — — : A34005 705 18 , , , A34005 705 19 946328 946328 CD A34005 705 20 the the DT A34005 705 21 Compl Compl NNP A34005 705 22 : : : A34005 705 23 of of IN A34005 705 24 which which WDT A34005 705 25 Ark Ark NNP A34005 705 26 is be VBZ A34005 705 27 73 73 CD A34005 705 28 , , , A34005 705 29 6 6 CD A34005 705 30 , , , A34005 705 31 which which WDT A34005 705 32 converted convert VBD A34005 705 33 into into IN A34005 705 34 time time NN A34005 705 35 shews shew NNS A34005 705 36 that that IN A34005 705 37 the the DT A34005 705 38 Sun Sun NNP A34005 705 39 riseth riseth NN A34005 705 40 in in IN A34005 705 41 our -PRON- PRP$ A34005 705 42 Latitude Latitude NNP A34005 705 43 when when WRB A34005 705 44 he -PRON- PRP A34005 705 45 hath hath VBD A34005 705 46 13d 13d NNS A34005 705 47 of of IN A34005 705 48 North North NNP A34005 705 49 Declination Declination NNP A34005 705 50 at at IN A34005 705 51 52 52 CD A34005 705 52 ● ● NFP A34005 705 53 and and CC A34005 705 54 a a DT A34005 705 55 half half NN A34005 705 56 past past JJ A34005 705 57 4 4 CD A34005 705 58 in in IN A34005 705 59 the the DT A34005 705 60 morning morning NN A34005 705 61 ferè ferè NN A34005 705 62 . . . A34005 706 1 By by IN A34005 706 2 the the DT A34005 706 3 same same JJ A34005 706 4 Data datum NNS A34005 706 5 we -PRON- PRP A34005 706 6 may may MD A34005 706 7 find find VB A34005 706 8 the the DT A34005 706 9 Side Side NNP A34005 706 10 S s NN A34005 706 11 N N NNP A34005 706 12 the the DT A34005 706 13 Suns Suns NNPS A34005 706 14 Amplitude Amplitude NNP A34005 706 15 of of IN A34005 706 16 rising rise VBG A34005 706 17 or or CC A34005 706 18 setting set VBG A34005 706 19 , , , A34005 706 20 and and CC A34005 706 21 this this DT A34005 706 22 will will MD A34005 706 23 agree agree VB A34005 706 24 with with IN A34005 706 25 the the DT A34005 706 26 7 7 CD A34005 706 27 ● ● NNP A34005 706 28 h h NN A34005 706 29 Case case NN A34005 706 30 ; ; : A34005 706 31 for for IN A34005 706 32 here here RB A34005 706 33 is be VBZ A34005 706 34 given give VBN A34005 706 35 the the DT A34005 706 36 Hipotenusal Hipotenusal NNP A34005 706 37 , , , A34005 706 38 and and CC A34005 706 39 one one CD A34005 706 40 of of IN A34005 706 41 the the DT A34005 706 42 Leggs Leggs NNP A34005 706 43 to to TO A34005 706 44 find find VB A34005 706 45 the the DT A34005 706 46 other other JJ A34005 706 47 Leg Leg NNP A34005 706 48 the the DT A34005 706 49 Proportion Proportion NNP A34005 706 50 will will MD A34005 706 51 be be VB A34005 706 52 , , , A34005 706 53 As as IN A34005 706 54 the the DT A34005 706 55 Cosine Cosine NNP A34005 706 56 of of IN A34005 706 57 the the DT A34005 706 58 given give VBN A34005 706 59 side side NN A34005 706 60 : : : A34005 706 61 To to IN A34005 706 62 Radius Radius NNP A34005 706 63 : : : A34005 706 64 So so CC A34005 706 65 the the DT A34005 706 66 Cosine Cosine NNP A34005 706 67 of of IN A34005 706 68 the the DT A34005 706 69 Hipotenusal Hipotenusal NNP A34005 706 70 , , , A34005 706 71 To to IN A34005 706 72 the the DT A34005 706 73 Cosine Cosine NNP A34005 706 74 of of IN A34005 706 75 the the DT A34005 706 76 side side NN A34005 706 77 sought seek VBD A34005 706 78 ; ; : A34005 706 79 that that DT A34005 706 80 is be VBZ A34005 706 81 in in IN A34005 706 82 this this DT A34005 706 83 Cass Cass NNP A34005 706 84 , , , A34005 706 85 As as IN A34005 706 86 the the DT A34005 706 87 Cosine Cosine NNP A34005 706 88 of of IN A34005 706 89 the the DT A34005 706 90 Latitude Latitude NNP A34005 706 91 , , , A34005 706 92 To to IN A34005 706 93 Radius Radius NNP A34005 706 94 : : : A34005 706 95 So so RB A34005 706 96 is be VBZ A34005 706 97 the the DT A34005 706 98 Sine Sine NNP A34005 706 99 of of IN A34005 706 100 the the DT A34005 706 101 Suns Suns NNPS A34005 706 102 Declination Declination NNP A34005 706 103 , , , A34005 706 104 To to IN A34005 706 105 the the DT A34005 706 106 Sine Sine NNP A34005 706 107 of of IN A34005 706 108 his -PRON- PRP$ A34005 706 109 Amplitude Amplitude NNP A34005 706 110 from from IN A34005 706 111 the the DT A34005 706 112 East East NNP A34005 706 113 or or CC A34005 706 114 West West NNP A34005 706 115 . . . A34005 707 1 Example example NN A34005 707 2 , , , A34005 707 3 Logme Logme NNP A34005 707 4 . . . A34005 708 1 Sine Sine NNP A34005 708 2 13d 13d CD A34005 708 3 † † VBZ A34005 708 4 Radius Radius NNP A34005 708 5 is be VBZ A34005 708 6 — — : A34005 708 7 1,935208 1,935208 NNP A34005 708 8 Sine Sine NNP A34005 708 9 38d 38d CD A34005 708 10 28′ 28′ CD A34005 708 11 — — : A34005 708 12 979383 979383 CD A34005 708 13 Sine Sine NNP A34005 708 14 21d 21d CD A34005 708 15 12′ 12′ CD A34005 708 16 — — : A34005 708 17 955825 955825 CD A34005 708 18 the the DT A34005 708 19 Complement Complement NNP A34005 708 20 wherof wherof NN A34005 708 21 , , , A34005 708 22 viz viz NN A34005 708 23 68d 68d NNS A34005 708 24 48′ 48′ CD A34005 708 25 is be VBZ A34005 708 26 the the DT A34005 708 27 side side NN A34005 708 28 S S NNP A34005 708 29 N N NNP A34005 708 30 sought seek VBD A34005 708 31 , , , A34005 708 32 and and CC A34005 708 33 this this DT A34005 708 34 Proportion proportion NN A34005 708 35 is be VBZ A34005 708 36 of of IN A34005 708 37 good good JJ A34005 708 38 use use NN A34005 708 39 to to TO A34005 708 40 obtain obtain VB A34005 708 41 the the DT A34005 708 42 Variation Variation NNP A34005 708 43 of of IN A34005 708 44 the the DT A34005 708 45 Compass Compass NNP A34005 708 46 at at IN A34005 708 47 Sea Sea NNP A34005 708 48 by by IN A34005 708 49 the the DT A34005 708 50 Suns Suns NNPS A34005 708 51 Coast Coast NNP A34005 708 52 of of IN A34005 708 53 rising rise VBG A34005 708 54 ; ; : A34005 708 55 More More JJR A34005 708 56 Examples example NNS A34005 708 57 need nee MD A34005 708 58 not not RB A34005 708 59 be be VB A34005 708 60 given give VBN A34005 708 61 , , , A34005 708 62 the the DT A34005 708 63 Reader reader NN A34005 708 64 may may MD A34005 708 65 try try VB A34005 708 66 over over RP A34005 708 67 all all PDT A34005 708 68 the the DT A34005 708 69 Cases case NNS A34005 708 70 by by IN A34005 708 71 the the DT A34005 708 72 Calculated Calculated NNP A34005 708 73 Triangle Triangle NNP A34005 708 74 annexed annex VBD A34005 708 75 . . . A34005 709 1 Some some DT A34005 709 2 may may MD A34005 709 3 say say VB A34005 709 4 here here RB A34005 709 5 are be VBP A34005 709 6 more more JJR A34005 709 7 Proportions Proportions NNP A34005 709 8 then then RB A34005 709 9 needs need VBZ A34005 709 10 , , , A34005 709 11 especially especially RB A34005 709 12 seeing see VBG A34005 709 13 there there EX A34005 709 14 are be VBP A34005 709 15 no no DT A34005 709 16 Logarithmical Logarithmical NNP A34005 709 17 Tables Tables NNPS A34005 709 18 of of IN A34005 709 19 Secants secant NNS A34005 709 20 ; ; : A34005 709 21 but but CC A34005 709 22 Alterna Alterna NNP A34005 709 23 amant amant JJ A34005 709 24 Camenae Camenae NNP A34005 709 25 , , , A34005 709 26 they -PRON- PRP A34005 709 27 have have VBP A34005 709 28 not not RB A34005 709 29 hitherto hitherto VBN A34005 709 30 been be VBN A34005 709 31 published publish VBN A34005 709 32 in in IN A34005 709 33 English English NNP A34005 709 34 ; ; : A34005 709 35 the the DT A34005 709 36 Instruments Instruments NNPS A34005 709 37 to to TO A34005 709 38 be be VB A34005 709 39 treated treat VBN A34005 709 40 of of IN A34005 709 41 will will MD A34005 709 42 have have VB A34005 709 43 Secants secant NNS A34005 709 44 ; ; : A34005 709 45 besides besides RB A34005 709 46 in in IN A34005 709 47 some some DT A34005 709 48 Cannons Cannons NNPS A34005 709 49 there there EX A34005 709 50 are be VBP A34005 709 51 Tables table NNS A34005 709 52 of of IN A34005 709 53 the the DT A34005 709 54 Arithmetical Arithmetical NNP A34005 709 55 Complements Complements NNPS A34005 709 56 of of IN A34005 709 57 the the DT A34005 709 58 Logarithmical Logarithmical NNP A34005 709 59 Sines Sines NNPS A34005 709 60 and and CC A34005 709 61 Cosines Cosines NNPS A34005 709 62 , , , A34005 709 63 which which WDT A34005 709 64 augmented augment VBN A34005 709 65 by by IN A34005 709 66 Radius Radius NNP A34005 709 67 , , , A34005 709 68 are be VBP A34005 709 69 the the DT A34005 709 70 Logarithmical Logarithmical NNP A34005 709 71 Secants Secants NNPS A34005 709 72 of of IN A34005 709 73 the the DT A34005 709 74 Complements Complements NNPS A34005 709 75 of of IN A34005 709 76 those those DT A34005 709 77 Arks Arks NNP A34005 709 78 to to TO A34005 709 79 which which WDT A34005 709 80 they -PRON- PRP A34005 709 81 do do VBP A34005 709 82 belong belong VB A34005 709 83 ; ; : A34005 709 84 and and CC A34005 709 85 for for IN A34005 709 86 Instruments Instruments NNPS A34005 709 87 , , , A34005 709 88 especially especially RB A34005 709 89 Quadrants quadrant NNS A34005 709 90 , , , A34005 709 91 a a DT A34005 709 92 Proportion proportion NN A34005 709 93 having have VBG A34005 709 94 Tangents Tangents NNPS A34005 709 95 or or CC A34005 709 96 Secants secant NNS A34005 709 97 many many JJ A34005 709 98 times time NNS A34005 709 99 can can MD A34005 709 100 not not RB A34005 709 101 be be VB A34005 709 102 Operated operate VBN A34005 709 103 on on IN A34005 709 104 the the DT A34005 709 105 Quadrant Quadrant NNP A34005 709 106 without without IN A34005 709 107 changing change VBG A34005 709 108 the the DT A34005 709 109 Proportion Proportion NNP A34005 709 110 , , , A34005 709 111 by by IN A34005 709 112 reason reason NN A34005 709 113 those those DT A34005 709 114 Scales scale NNS A34005 709 115 can can MD A34005 709 116 not not RB A34005 709 117 be be VB A34005 709 118 wholy wholy NNP A34005 709 119 brought bring VBN A34005 709 120 on on RP A34005 709 121 , , , A34005 709 122 being be VBG A34005 709 123 infinite infinite JJ A34005 709 124 ; ; : A34005 709 125 Now now RB A34005 709 126 the the DT A34005 709 127 chief chief JJ A34005 709 128 Grounds Grounds NNPS A34005 709 129 for for IN A34005 709 130 varying vary VBG A34005 709 131 Proportions Proportions NNP A34005 709 132 , , , A34005 709 133 are be VBP A34005 709 134 built build VBN A34005 709 135 upon upon IN A34005 709 136 a a DT A34005 709 137 few few JJ A34005 709 138 Theorems Theorems NNPS A34005 709 139 . . . A34005 710 1 1 1 LS A34005 710 2 . . . A34005 711 1 That that IN A34005 711 2 the the DT A34005 711 3 Rectangle Rectangle NNP A34005 711 4 or or CC A34005 711 5 Product Product NNP A34005 711 6 of of IN A34005 711 7 a a DT A34005 711 8 Tangent Tangent NNP A34005 711 9 , , , A34005 711 10 and and CC A34005 711 11 its -PRON- PRP$ A34005 711 12 Complement Complement NNP A34005 711 13 is be VBZ A34005 711 14 equal equal JJ A34005 711 15 to to IN A34005 711 16 the the DT A34005 711 17 Square Square NNP A34005 711 18 of of IN A34005 711 19 the the DT A34005 711 20 Radius Radius NNP A34005 711 21 , , , A34005 711 22 or or CC A34005 711 23 which which WDT A34005 711 24 is be VBZ A34005 711 25 all all DT A34005 711 26 one one CD A34005 711 27 , , , A34005 711 28 that that IN A34005 711 29 the the DT A34005 711 30 Radius Radius NNP A34005 711 31 is be VBZ A34005 711 32 a a DT A34005 711 33 mean mean NN A34005 711 34 Proportional Proportional NNP A34005 711 35 between between IN A34005 711 36 the the DT A34005 711 37 Tangent Tangent NNP A34005 711 38 of of IN A34005 711 39 an an DT A34005 711 40 Arch Arch NNP A34005 711 41 , , , A34005 711 42 and and CC A34005 711 43 the the DT A34005 711 44 Tangent tangent NN A34005 711 45 of of IN A34005 711 46 its -PRON- PRP$ A34005 711 47 Complement Complement NNP A34005 711 48 , , , A34005 711 49 that that RB A34005 711 50 is is RB A34005 711 51 , , , A34005 711 52 As as IN A34005 711 53 the the DT A34005 711 54 Tangent Tangent NNP A34005 711 55 of of IN A34005 711 56 an an DT A34005 711 57 Arch Arch NNP A34005 711 58 , , , A34005 711 59 To to IN A34005 711 60 Radius Radius NNP A34005 711 61 : : : A34005 711 62 So so RB A34005 711 63 Radius Radius NNP A34005 711 64 , , , A34005 711 65 To to IN A34005 711 66 tangent tangent NN A34005 711 67 of of IN A34005 711 68 that that DT A34005 711 69 Arks Arks NNP A34005 711 70 Complement Complement NNP A34005 711 71 , , , A34005 711 72 And and CC A34005 711 73 by by IN A34005 711 74 Inversion inversion NN A34005 711 75 . . . A34005 712 1 As as IN A34005 712 2 the the DT A34005 712 3 Cotangent Cotangent NNP A34005 712 4 of of IN A34005 712 5 an an DT A34005 712 6 Arch Arch NNP A34005 712 7 , , , A34005 712 8 To to IN A34005 712 9 Radius Radius NNP A34005 712 10 : : : A34005 712 11 So so RB A34005 712 12 Radius Radius NNP A34005 712 13 , , , A34005 712 14 To to IN A34005 712 15 tangent tangent NN A34005 712 16 of of IN A34005 712 17 that that DT A34005 712 18 Arch Arch NNP A34005 712 19 , , , A34005 712 20 that that RB A34005 712 21 is is RB A34005 712 22 , , , A34005 712 23 As as IN A34005 712 24 the the DT A34005 712 25 4 4 CD A34005 712 26 h h NN A34005 712 27 tearm tearm NN A34005 712 28 to to IN A34005 712 29 3d 3d NNP A34005 712 30 , , , A34005 712 31 So so RB A34005 712 32 second second JJ A34005 712 33 to to IN A34005 712 34 first first RB A34005 712 35 . . . A34005 713 1 2 2 LS A34005 713 2 . . . A34005 714 1 That that IN A34005 714 2 the the DT A34005 714 3 Radius Radius NNP A34005 714 4 is be VBZ A34005 714 5 a a DT A34005 714 6 mean mean NN A34005 714 7 Proportional Proportional NNP A34005 714 8 between between IN A34005 714 9 the the DT A34005 714 10 Sine Sine NNP A34005 714 11 of of IN A34005 714 12 an an DT A34005 714 13 Arch Arch NNP A34005 714 14 , , , A34005 714 15 and and CC A34005 714 16 the the DT A34005 714 17 Secant secant NN A34005 714 18 of of IN A34005 714 19 that that DT A34005 714 20 Arks Arks NNP A34005 714 21 Complement Complement NNP A34005 714 22 . . . A34005 715 1 That that RB A34005 715 2 is is RB A34005 715 3 , , , A34005 715 4 As as IN A34005 715 5 the the DT A34005 715 6 Sine Sine NNP A34005 715 7 of of IN A34005 715 8 an an DT A34005 715 9 Arch Arch NNP A34005 715 10 , , , A34005 715 11 To to IN A34005 715 12 Radius Radius NNP A34005 715 13 : : : A34005 715 14 So so RB A34005 715 15 is be VBZ A34005 715 16 the the DT A34005 715 17 Radius Radius NNP A34005 715 18 , , , A34005 715 19 To to IN A34005 715 20 Secant Secant NNP A34005 715 21 of of IN A34005 715 22 that that DT A34005 715 23 Arks Arks NNP A34005 715 24 Complement Complement NNP A34005 715 25 , , , A34005 715 26 and and CC A34005 715 27 the the DT A34005 715 28 Converse Converse NNP A34005 715 29 . . . A34005 716 1 3 3 LS A34005 716 2 . . . A34005 717 1 That that IN A34005 717 2 the the DT A34005 717 3 Rectangles Rectangles NNPS A34005 717 4 of of IN A34005 717 5 all all DT A34005 717 6 Tangents tangent NNS A34005 717 7 and and CC A34005 717 8 their -PRON- PRP$ A34005 717 9 Complements complement NNS A34005 717 10 , , , A34005 717 11 being be VBG A34005 717 12 respectively respectively RB A34005 717 13 equal equal JJ A34005 717 14 to to IN A34005 717 15 the the DT A34005 717 16 Square Square NNP A34005 717 17 of of IN A34005 717 18 the the DT A34005 717 19 Radius Radius NNP A34005 717 20 , , , A34005 717 21 are be VBP A34005 717 22 Reciprocally Reciprocally NNP A34005 717 23 Proportional Proportional NNP A34005 717 24 , , , A34005 717 25 That that RB A34005 717 26 is is RB A34005 717 27 , , , A34005 717 28 As as IN A34005 717 29 the the DT A34005 717 30 Tangent Tangent NNP A34005 717 31 of of IN A34005 717 32 an an DT A34005 717 33 Arch Arch NNP A34005 717 34 or or CC A34005 717 35 Angle Angle NNP A34005 717 36 : : : A34005 717 37 Is be VBZ A34005 717 38 to to IN A34005 717 39 the the DT A34005 717 40 Tangent tangent NN A34005 717 41 of of IN A34005 717 42 another another DT A34005 717 43 Arch Arch NNP A34005 717 44 or or CC A34005 717 45 Angle Angle NNP A34005 717 46 : : : A34005 717 47 So so RB A34005 717 48 is be VBZ A34005 717 49 the the DT A34005 717 50 tangent tangent NN A34005 717 51 of of IN A34005 717 52 the the DT A34005 717 53 Complement Complement NNP A34005 717 54 of of IN A34005 717 55 the the DT A34005 717 56 latter latter JJ A34005 717 57 Arch Arch NNP A34005 717 58 : : : A34005 717 59 To to IN A34005 717 60 the the DT A34005 717 61 tangent tangent NN A34005 717 62 of of IN A34005 717 63 the the DT A34005 717 64 Complement Complement NNP A34005 717 65 of of IN A34005 717 66 the the DT A34005 717 67 former former JJ A34005 717 68 , , , A34005 717 69 And and CC A34005 717 70 by by IN A34005 717 71 varying vary VBG A34005 717 72 the the DT A34005 717 73 Second Second NNP A34005 717 74 Tearm Tearm NNP A34005 717 75 into into IN A34005 717 76 the the DT A34005 717 77 place place NN A34005 717 78 of of IN A34005 717 79 the the DT A34005 717 80 Third Third NNP A34005 717 81 , , , A34005 717 82 we -PRON- PRP A34005 717 83 may may MD A34005 717 84 compare compare VB A34005 717 85 the the DT A34005 717 86 Tangent Tangent NNP A34005 717 87 of of IN A34005 717 88 one one CD A34005 717 89 Ark Ark NNP A34005 717 90 to to IN A34005 717 91 the the DT A34005 717 92 Cotangent Cotangent NNP A34005 717 93 of of IN A34005 717 94 another another DT A34005 717 95 , , , A34005 717 96 & & CC A34005 717 97 c. c. NN A34005 717 98 that that DT A34005 717 99 is be VBZ A34005 717 100 , , , A34005 717 101 As as IN A34005 717 102 the the DT A34005 717 103 tangent tangent NN A34005 717 104 of of IN A34005 717 105 an an DT A34005 717 106 Ark Ark NNP A34005 717 107 or or CC A34005 717 108 Angle Angle NNP A34005 717 109 : : : A34005 717 110 Is be VBZ A34005 717 111 to to IN A34005 717 112 the the DT A34005 717 113 Cotangent Cotangent NNP A34005 717 114 of of IN A34005 717 115 another another DT A34005 717 116 Ark Ark NNP A34005 717 117 ∷ ∷ NNP A34005 717 118 So so RB A34005 717 119 is be VBZ A34005 717 120 the the DT A34005 717 121 tangent tangent NN A34005 717 122 of of IN A34005 717 123 this this DT A34005 717 124 latter latter JJ A34005 717 125 Ark Ark NNP A34005 717 126 To to IN A34005 717 127 the the DT A34005 717 128 Cotangent Cotangent NNP A34005 717 129 of of IN A34005 717 130 the the DT A34005 717 131 former former JJ A34005 717 132 . . . A34005 718 1 4 4 LS A34005 718 2 . . . A34005 719 1 That that IN A34005 719 2 the the DT A34005 719 3 Sines Sines NNPS A34005 719 4 of of IN A34005 719 5 Arches Arches NNPS A34005 719 6 , , , A34005 719 7 and and CC A34005 719 8 the the DT A34005 719 9 Secants secant NNS A34005 719 10 of of IN A34005 719 11 their -PRON- PRP$ A34005 719 12 Complements complement NNS A34005 719 13 are be VBP A34005 719 14 reciprocally reciprocally RB A34005 719 15 proportional proportional JJ A34005 719 16 , , , A34005 719 17 that that RB A34005 719 18 is is RB A34005 719 19 , , , A34005 719 20 As as IN A34005 719 21 the the DT A34005 719 22 Sine Sine NNP A34005 719 23 of of IN A34005 719 24 an an DT A34005 719 25 Arch Arch NNP A34005 719 26 : : : A34005 719 27 To to IN A34005 719 28 the the DT A34005 719 29 Sine Sine NNP A34005 719 30 of of IN A34005 719 31 another another DT A34005 719 32 Arch Arch NNP A34005 719 33 or or CC A34005 719 34 Angle Angle NNP A34005 719 35 : : : A34005 719 36 So so RB A34005 719 37 is be VBZ A34005 719 38 the the DT A34005 719 39 Cosecant Cosecant NNP A34005 719 40 of of IN A34005 719 41 the the DT A34005 719 42 latter latter JJ A34005 719 43 Arch Arch NNP A34005 719 44 , , , A34005 719 45 To to IN A34005 719 46 the the DT A34005 719 47 Cosecant Cosecant NNP A34005 719 48 of of IN A34005 719 49 the the DT A34005 719 50 former former JJ A34005 719 51 , , , A34005 719 52 And and CC A34005 719 53 by by IN A34005 719 54 changing change VBG A34005 719 55 the the DT A34005 719 56 2 2 CD A34005 719 57 and and CC A34005 719 58 3 3 CD A34005 719 59 Tearms Tearms NNP A34005 719 60 , , , A34005 719 61 a a DT A34005 719 62 Sine Sine NNP A34005 719 63 may may MD A34005 719 64 be be VB A34005 719 65 compared compare VBN A34005 719 66 with with IN A34005 719 67 a a DT A34005 719 68 Secant secant NN A34005 719 69 . . . A34005 720 1 Now now RB A34005 720 2 hence hence RB A34005 720 3 to to TO A34005 720 4 be be VB A34005 720 5 directed direct VBN A34005 720 6 to to TO A34005 720 7 vary vary VB A34005 720 8 Proportions Proportions NNP A34005 720 9 , , , A34005 720 10 observe observe VBP A34005 720 11 that that IN A34005 720 12 if if IN A34005 720 13 4 4 CD A34005 720 14 Tearms Tearms NNPS A34005 720 15 or or CC A34005 720 16 Numbers number NNS A34005 720 17 are be VBP A34005 720 18 Proportional proportional JJ A34005 720 19 , , , A34005 720 20 it -PRON- PRP A34005 720 21 is be VBZ A34005 720 22 not not RB A34005 720 23 material material JJ A34005 720 24 which which WDT A34005 720 25 of of IN A34005 720 26 the the DT A34005 720 27 two two CD A34005 720 28 middle middle JJ A34005 720 29 Terms term NNS A34005 720 30 be be VBP A34005 720 31 in in IN A34005 720 32 the the DT A34005 720 33 second second JJ A34005 720 34 or or CC A34005 720 35 third third JJ A34005 720 36 place place NN A34005 720 37 ; ; : A34005 720 38 for for IN A34005 720 39 instance instance NN A34005 720 40 if if IN A34005 720 41 it -PRON- PRP A34005 720 42 be be VB A34005 720 43 , , , A34005 720 44 As as IN A34005 720 45 2 2 CD A34005 720 46 to to IN A34005 720 47 4 4 CD A34005 720 48 ∷ ∷ RB A34005 720 49 So so RB A34005 720 50 is be VBZ A34005 720 51 3 3 CD A34005 720 52 to to IN A34005 720 53 6 6 CD A34005 720 54 : : : A34005 720 55 It -PRON- PRP A34005 720 56 will will MD A34005 720 57 also also RB A34005 720 58 hold hold VB A34005 720 59 , , , A34005 720 60 As as IN A34005 720 61 2 2 CD A34005 720 62 to to IN A34005 720 63 3 3 CD A34005 720 64 ∷ ∷ NN A34005 720 65 So so RB A34005 720 66 4 4 CD A34005 720 67 to to IN A34005 720 68 6 6 CD A34005 720 69 . . . A34005 721 1 Secondly secondly RB A34005 721 2 , , , A34005 721 3 that that IN A34005 721 4 when when WRB A34005 721 5 4 4 CD A34005 721 6 Tearms tearm NNS A34005 721 7 are be VBP A34005 721 8 in in IN A34005 721 9 direct direct JJ A34005 721 10 Proportion proportion NN A34005 721 11 , , , A34005 721 12 if if IN A34005 721 13 a a DT A34005 721 14 question question NN A34005 721 15 be be VB A34005 721 16 put put VBN A34005 721 17 concerning concern VBG A34005 721 18 a a DT A34005 721 19 fifth fifth JJ A34005 721 20 Tearm Tearm NNP A34005 721 21 not not RB A34005 721 22 ingredient ingredient JJ A34005 721 23 in in IN A34005 721 24 the the DT A34005 721 25 Proportion Proportion NNP A34005 721 26 , , , A34005 721 27 it -PRON- PRP A34005 721 28 is be VBZ A34005 721 29 not not RB A34005 721 30 material material JJ A34005 721 31 whether whether IN A34005 721 32 the the DT A34005 721 33 two two CD A34005 721 34 former former JJ A34005 721 35 , , , A34005 721 36 or or CC A34005 721 37 the the DT A34005 721 38 two two CD A34005 721 39 latter latter JJ A34005 721 40 Tearms Tearms NNPS A34005 721 41 be be VB A34005 721 42 taken take VBN A34005 721 43 : : : A34005 721 44 As as IN A34005 721 45 if if IN A34005 721 46 it -PRON- PRP A34005 721 47 should should MD A34005 721 48 be be VB A34005 721 49 demanded demand VBN A34005 721 50 ; ; : A34005 721 51 When when WRB A34005 721 52 2 2 CD A34005 721 53 yards yard NNS A34005 721 54 of of IN A34005 721 55 Linnen Linnen NNP A34005 721 56 cost cost NN A34005 721 57 4sh 4sh NN A34005 721 58 . . . A34005 722 1 What what WP A34005 722 2 shall shall MD A34005 722 3 8 8 CD A34005 722 4 yards yard NNS A34005 722 5 ? ? . A34005 723 1 Answer Answer NNP A34005 723 2 , , , A34005 723 3 16 16 CD A34005 723 4 . . . A34005 724 1 It -PRON- PRP A34005 724 2 might may MD A34005 724 3 as as RB A34005 724 4 well well RB A34005 724 5 be be VB A34005 724 6 said say VBN A34005 724 7 , , , A34005 724 8 If if IN A34005 724 9 3 3 CD A34005 724 10 cost cost VBD A34005 724 11 6 6 CD A34005 724 12 , , , A34005 724 13 What what WP A34005 724 14 8 8 CD A34005 724 15 ? ? . A34005 725 1 Answer Answer NNP A34005 725 2 , , , A34005 725 3 16 16 CD A34005 725 4 . . . A34005 726 1 Hence hence RB A34005 726 2 then then RB A34005 726 3 in in IN A34005 726 4 any any DT A34005 726 5 Proportion Proportion NNP A34005 726 6 , , , A34005 726 7 if if IN A34005 726 8 the the DT A34005 726 9 two two CD A34005 726 10 first first JJ A34005 726 11 Tearms tearm NNS A34005 726 12 be be VB A34005 726 13 , , , A34005 726 14 As as IN A34005 726 15 the the DT A34005 726 16 Tangent Tangent NNP A34005 726 17 of of IN A34005 726 18 an an DT A34005 726 19 ark ark NN A34005 726 20 , , , A34005 726 21 To to IN A34005 726 22 Radius Radius NNP A34005 726 23 , , , A34005 726 24 to to TO A34005 726 25 bring bring VB A34005 726 26 the the DT A34005 726 27 Radius Radius NNP A34005 726 28 into into IN A34005 726 29 the the DT A34005 726 30 first first JJ A34005 726 31 place place NN A34005 726 32 , , , A34005 726 33 it -PRON- PRP A34005 726 34 may may MD A34005 726 35 be be VB A34005 726 36 said say VBN A34005 726 37 , , , A34005 726 38 As as IN A34005 726 39 the the DT A34005 726 40 Radius Radius NNP A34005 726 41 , , , A34005 726 42 Is be VBZ A34005 726 43 to to IN A34005 726 44 the the DT A34005 726 45 Cotangent cotangent NN A34005 726 46 of of IN A34005 726 47 that that DT A34005 726 48 Ark Ark NNP A34005 726 49 , , , A34005 726 50 because because IN A34005 726 51 there there EX A34005 726 52 is be VBZ A34005 726 53 the the DT A34005 726 54 same same JJ A34005 726 55 Proportion proportion NN A34005 726 56 between between IN A34005 726 57 these these DT A34005 726 58 two two CD A34005 726 59 latter latter JJ A34005 726 60 Tearms tearm NNS A34005 726 61 , , , A34005 726 62 as as IN A34005 726 63 between between IN A34005 726 64 two two CD A34005 726 65 former former JJ A34005 726 66 ; ; : A34005 726 67 Now now RB A34005 726 68 in in IN A34005 726 69 all all PDT A34005 726 70 the the DT A34005 726 71 former former JJ A34005 726 72 Theorems Theorems NNPS A34005 726 73 , , , A34005 726 74 the the DT A34005 726 75 two two CD A34005 726 76 latter latter JJ A34005 726 77 Tearms tearm NNS A34005 726 78 consist consist VBP A34005 726 79 either either DT A34005 726 80 of of IN A34005 726 81 the the DT A34005 726 82 parts part NNS A34005 726 83 , , , A34005 726 84 or or CC A34005 726 85 of of IN A34005 726 86 the the DT A34005 726 87 Complements Complements NNPS A34005 726 88 of of IN A34005 726 89 the the DT A34005 726 90 parts part NNS A34005 726 91 of of IN A34005 726 92 the the DT A34005 726 93 two two CD A34005 726 94 former former JJ A34005 726 95 , , , A34005 726 96 whence whence UH A34005 726 97 it -PRON- PRP A34005 726 98 will will MD A34005 726 99 not not RB A34005 726 100 be be VB A34005 726 101 difficult difficult JJ A34005 726 102 to to TO A34005 726 103 vary vary VB A34005 726 104 any any DT A34005 726 105 Proportion Proportion NNP A34005 726 106 propounded propound VBN A34005 726 107 . . . A34005 727 1 1 1 LS A34005 727 2 . . . A34005 728 1 From from IN A34005 728 2 whence whence NN A34005 728 3 it -PRON- PRP A34005 728 4 will will MD A34005 728 5 follow follow VB A34005 728 6 , , , A34005 728 7 that that IN A34005 728 8 a a DT A34005 728 9 Proportion proportion NN A34005 728 10 wholly wholly RB A34005 728 11 in in IN A34005 728 12 Tangents tangent NNS A34005 728 13 may may MD A34005 728 14 be be VB A34005 728 15 changed change VBN A34005 728 16 into into IN A34005 728 17 their -PRON- PRP$ A34005 728 18 Complements complement NNS A34005 728 19 without without IN A34005 728 20 altering alter VBG A34005 728 21 the the DT A34005 728 22 Order order NN A34005 728 23 of of IN A34005 728 24 the the DT A34005 728 25 Tearms Tearms NNPS A34005 728 26 , , , A34005 728 27 and and CC A34005 728 28 the the DT A34005 728 29 Converse Converse NNP A34005 728 30 . . . A34005 729 1 If if IN A34005 729 2 it -PRON- PRP A34005 729 3 were be VBD A34005 729 4 As as IN A34005 729 5 Tangent Tangent NNP A34005 729 6 10d 10d NNPS A34005 729 7 , , , A34005 729 8 To to IN A34005 729 9 tang tang NNP A34005 729 10 20d 20d NNS A34005 729 11 : : : A34005 729 12 So so RB A34005 729 13 tang tang NNP A34005 729 14 52d 52d NNP A34005 729 15 , , , A34005 729 16 To to IN A34005 729 17 tan tan NN A34005 729 18 69d 69d CD A34005 729 19 15′ 15′ CD A34005 729 20 It -PRON- PRP A34005 729 21 would would MD A34005 729 22 also also RB A34005 729 23 be be VB A34005 729 24 , , , A34005 729 25 As as IN A34005 729 26 tang tang NNP A34005 729 27 80d 80d NNS A34005 729 28 , , , A34005 729 29 To to IN A34005 729 30 tan tan NN A34005 729 31 70d 70d NNS A34005 729 32 : : : A34005 729 33 So so IN A34005 729 34 tan tan NNP A34005 729 35 38d 38d NNS A34005 729 36 , , , A34005 729 37 To to IN A34005 729 38 tan tan NNP A34005 729 39 20d 20d CD A34005 729 40 45′ 45′ CD A34005 729 41 2 2 CD A34005 729 42 . . . A34005 730 1 That that IN A34005 730 2 if if IN A34005 730 3 the the DT A34005 730 4 two two CD A34005 730 5 latter latter JJ A34005 730 6 Tearms tearm NNS A34005 730 7 of of IN A34005 730 8 any any DT A34005 730 9 Proportion Proportion NNP A34005 730 10 being be VBG A34005 730 11 Tangents Tangents NNPS A34005 730 12 are be VBP A34005 730 13 only only RB A34005 730 14 changed change VBN A34005 730 15 into into IN A34005 730 16 their -PRON- PRP$ A34005 730 17 Complements Complements NNPS A34005 730 18 , , , A34005 730 19 it -PRON- PRP A34005 730 20 infers infer VBZ A34005 730 21 a a DT A34005 730 22 Transportation transportation NN A34005 730 23 of of IN A34005 730 24 the the DT A34005 730 25 first first JJ A34005 730 26 Tearm Tearm NNP A34005 730 27 into into IN A34005 730 28 the the DT A34005 730 29 second second JJ A34005 730 30 place place NN A34005 730 31 . . . A34005 731 1 That that DT A34005 731 2 is be VBZ A34005 731 3 in in IN A34005 731 4 the the DT A34005 731 5 first first JJ A34005 731 6 Example Example NNP A34005 731 7 , , , A34005 731 8 As as IN A34005 731 9 Tang Tang NNP A34005 731 10 20d 20d NNS A34005 731 11 , , , A34005 731 12 To to IN A34005 731 13 Tangent tangent NN A34005 731 14 10d 10d NNS A34005 731 15 : : : A34005 731 16 So so RB A34005 731 17 Tangent Tangent NNP A34005 731 18 38d 38d NNS A34005 731 19 , , , A34005 731 20 To to IN A34005 731 21 Tangent Tangent NNP A34005 731 22 20d 20d CD A34005 731 23 45′ 45′ CD A34005 731 24 . . . A34005 732 1 3 3 LS A34005 732 2 . . . A34005 733 1 That that IN A34005 733 2 if if IN A34005 733 3 the the DT A34005 733 4 two two CD A34005 733 5 former former JJ A34005 733 6 Tearms tearm NNS A34005 733 7 of of IN A34005 733 8 a a DT A34005 733 9 Proportion Proportion NNP A34005 733 10 being be VBG A34005 733 11 Tangents Tangents NNPS A34005 733 12 are be VBP A34005 733 13 changed change VBN A34005 733 14 into into IN A34005 733 15 their -PRON- PRP$ A34005 733 16 Complements Complements NNPS A34005 733 17 , , , A34005 733 18 it -PRON- PRP A34005 733 19 likewise likewise RB A34005 733 20 infers infer VBZ A34005 733 21 a a DT A34005 733 22 changing changing NN A34005 733 23 of of IN A34005 733 24 the the DT A34005 733 25 third third JJ A34005 733 26 Tearm Tearm NNP A34005 733 27 into into IN A34005 733 28 the the DT A34005 733 29 place place NN A34005 733 30 of of IN A34005 733 31 the the DT A34005 733 32 fourth fourth JJ A34005 733 33 . . . A34005 734 1 And and CC A34005 734 2 then then RB A34005 734 3 if if IN A34005 734 4 the the DT A34005 734 5 fourth fourth JJ A34005 734 6 Tearm Tearm NNP A34005 734 7 be be VB A34005 734 8 sought seek VBN A34005 734 9 , , , A34005 734 10 it -PRON- PRP A34005 734 11 will will MD A34005 734 12 hold hold VB A34005 734 13 , , , A34005 734 14 As as IN A34005 734 15 the the DT A34005 734 16 second second JJ A34005 734 17 Tearm Tearm NNP A34005 734 18 , , , A34005 734 19 To to IN A34005 734 20 the the DT A34005 734 21 first first JJ A34005 734 22 : : : A34005 734 23 So so RB A34005 734 24 is be VBZ A34005 734 25 the the DT A34005 734 26 third third JJ A34005 734 27 Tearm Tearm NNP A34005 734 28 , , , A34005 734 29 as as IN A34005 734 30 at at IN A34005 734 31 first first RB A34005 734 32 propounded propound VBN A34005 734 33 to to IN A34005 734 34 the the DT A34005 734 35 fourth fourth JJ A34005 734 36 . . . A34005 735 1 In in IN A34005 735 2 the the DT A34005 735 3 first first JJ A34005 735 4 Example example NN A34005 735 5 , , , A34005 735 6 as as IN A34005 735 7 tangent tangent NN A34005 735 8 70d 70d NNS A34005 735 9 to to TO A34005 735 10 tangent tangent NN A34005 735 11 80d 80d NNS A34005 735 12 : : : A34005 735 13 So so CC A34005 735 14 tang tang NNP A34005 735 15 ● ● NNP A34005 735 16 2 2 CD A34005 735 17 to to IN A34005 735 18 tang tang NNP A34005 735 19 69d 69d CD A34005 735 20 15′ 15′ CD A34005 735 21 . . . A34005 736 1 4 4 LS A34005 736 2 . . . A34005 737 1 That that IN A34005 737 2 a a DT A34005 737 3 Proportion proportion NN A34005 737 4 wholly wholly RB A34005 737 5 in in IN A34005 737 6 Secants secant NNS A34005 737 7 may may MD A34005 737 8 be be VB A34005 737 9 changed change VBN A34005 737 10 into into IN A34005 737 11 a a DT A34005 737 12 Proportion proportion NN A34005 737 13 wholly wholly RB A34005 737 14 in in IN A34005 737 15 Sines Sines NNP A34005 737 16 , , , A34005 737 17 without without IN A34005 737 18 altering alter VBG A34005 737 19 the the DT A34005 737 20 Order order NN A34005 737 21 of of IN A34005 737 22 the the DT A34005 737 23 places place NNS A34005 737 24 , , , A34005 737 25 only only RB A34005 737 26 by by IN A34005 737 27 taking take VBG A34005 737 28 their -PRON- PRP$ A34005 737 29 Complements Complements NNPS A34005 737 30 , , , A34005 737 31 and and CC A34005 737 32 the the DT A34005 737 33 Converse Converse NNP A34005 737 34 . . . A34005 738 1 If if IN A34005 738 2 it -PRON- PRP A34005 738 3 were be VBD A34005 738 4 , , , A34005 738 5 As as IN A34005 738 6 Secant Secant NNP A34005 738 7 of of IN A34005 738 8 80 80 CD A34005 738 9 To to IN A34005 738 10 Secant Secant NNP A34005 738 11 70d 70d , A34005 738 12 ∷ ∷ RB A34005 738 13 So so RB A34005 738 14 Secant secant NN A34005 738 15 60d 60d NNS A34005 738 16 To to IN A34005 738 17 Secant secant NN A34005 738 18 10d 10d NNS A34005 738 19 It -PRON- PRP A34005 738 20 would would MD A34005 738 21 also also RB A34005 738 22 hold hold VB A34005 738 23 in in IN A34005 738 24 Sines Sines NNP A34005 738 25 , , , A34005 738 26 As as IN A34005 738 27 the the DT A34005 738 28 Sine Sine NNP A34005 738 29 10 10 CD A34005 738 30 to to IN A34005 738 31 Sine Sine NNP A34005 738 32 20d 20d NNS A34005 738 33 ∷ ∷ PRP A34005 738 34 So so RB A34005 738 35 the the DT A34005 738 36 Sine Sine NNP A34005 738 37 of of IN A34005 738 38 30d 30d CD A34005 738 39 To to IN A34005 738 40 Sine Sine NNP A34005 738 41 80d 80d CD A34005 738 42 5 5 CD A34005 738 43 . . . A34005 739 1 That that IN A34005 739 2 if if IN A34005 739 3 the the DT A34005 739 4 two two CD A34005 739 5 latter latter JJ A34005 739 6 Tearms Tearms NNPS A34005 739 7 being be VBG A34005 739 8 Secants secant NNS A34005 739 9 , , , A34005 739 10 should should MD A34005 739 11 be be VB A34005 739 12 changed change VBN A34005 739 13 into into IN A34005 739 14 Sines Sines NNP A34005 739 15 , , , A34005 739 16 and and CC A34005 739 17 the the DT A34005 739 18 Converse Converse NNP A34005 739 19 , , , A34005 739 20 if if IN A34005 739 21 they -PRON- PRP A34005 739 22 were be VBD A34005 739 23 Sines Sines NNP A34005 739 24 to to TO A34005 739 25 be be VB A34005 739 26 turned turn VBN A34005 739 27 into into IN A34005 739 28 Secants secant NNS A34005 739 29 , , , A34005 739 30 it -PRON- PRP A34005 739 31 will will MD A34005 739 32 be be VB A34005 739 33 done do VBN A34005 739 34 only only RB A34005 739 35 by by IN A34005 739 36 taking take VBG A34005 739 37 their -PRON- PRP$ A34005 739 38 Complements Complements NNPS A34005 739 39 , , , A34005 739 40 but but CC A34005 739 41 then then RB A34005 739 42 must must MD A34005 739 43 the the DT A34005 739 44 second second JJ A34005 739 45 and and CC A34005 739 46 first first JJ A34005 739 47 Tearms tearm VBZ A34005 739 48 change change NN A34005 739 49 places place NNS A34005 739 50 one one CD A34005 739 51 with with IN A34005 739 52 another another DT A34005 739 53 . . . A34005 740 1 If if IN A34005 740 2 the the DT A34005 740 3 Proportion proportion NN A34005 740 4 were be VBD A34005 740 5 , , , A34005 740 6 As as IN A34005 740 7 Sine Sine NNP A34005 740 8 12d 12d CD A34005 740 9 to to IN A34005 740 10 Sine Sine NNP A34005 740 11 42d 42d NNS A34005 740 12 ∷ ∷ PRP A34005 740 13 So so RB A34005 740 14 is be VBZ A34005 740 15 the the DT A34005 740 16 Secant Secant NNP A34005 740 17 of of IN A34005 740 18 36d 36d NNS A34005 740 19 to to IN A34005 740 20 Secant Secant NNP A34005 740 21 of of IN A34005 740 22 75d 75d CD A34005 740 23 26′ 26′ CD A34005 740 24 . . . A34005 741 1 It -PRON- PRP A34005 741 2 would would MD A34005 741 3 also also RB A34005 741 4 hold hold VB A34005 741 5 , , , A34005 741 6 As as IN A34005 741 7 Sine Sine NNP A34005 741 8 42d 42d CD A34005 741 9 to to IN A34005 741 10 Sine Sine NNP A34005 741 11 12d 12d NNS A34005 741 12 ∷ ∷ PRP A34005 741 13 So so RB A34005 741 14 Sine Sine NNP A34005 741 15 of of IN A34005 741 16 54d 54d NNS A34005 741 17 to to IN A34005 741 18 the the DT A34005 741 19 Sine Sine NNP A34005 741 20 of of IN A34005 741 21 14d 14d NNS A34005 741 22 34′ 34′ CD A34005 741 23 . . . A34005 742 1 6 6 CD A34005 742 2 . . . A34005 743 1 That that IN A34005 743 2 if if IN A34005 743 3 the the DT A34005 743 4 two two CD A34005 743 5 former former JJ A34005 743 6 Tearms tearm NNS A34005 743 7 of of IN A34005 743 8 a a DT A34005 743 9 Proportion Proportion NNP A34005 743 10 in in IN A34005 743 11 Secants Secants NNP A34005 743 12 , , , A34005 743 13 should should MD A34005 743 14 be be VB A34005 743 15 changed change VBN A34005 743 16 into into IN A34005 743 17 Sines Sines NNP A34005 743 18 and and CC A34005 743 19 the the DT A34005 743 20 Converse converse NN A34005 743 21 ; ; : A34005 743 22 this this DT A34005 743 23 would would MD A34005 743 24 infer infer VB A34005 743 25 a a DT A34005 743 26 changing changing NN A34005 743 27 of of IN A34005 743 28 the the DT A34005 743 29 fourth fourth JJ A34005 743 30 Term term NN A34005 743 31 of of IN A34005 743 32 that that DT A34005 743 33 Proportion proportion NN A34005 743 34 into into IN A34005 743 35 the the DT A34005 743 36 place place NN A34005 743 37 of of IN A34005 743 38 the the DT A34005 743 39 Third third JJ A34005 743 40 : : : A34005 743 41 But but CC A34005 743 42 the the DT A34005 743 43 third third JJ A34005 743 44 Tearm Tearm NNP A34005 743 45 not not RB A34005 743 46 being be VBG A34005 743 47 that that DT A34005 743 48 which which WDT A34005 743 49 is be VBZ A34005 743 50 sought seek VBN A34005 743 51 : : : A34005 743 52 The the DT A34005 743 53 Rule Rule NNP A34005 743 54 to to TO A34005 743 55 do do VB A34005 743 56 it -PRON- PRP A34005 743 57 , , , A34005 743 58 would would MD A34005 743 59 be be VB A34005 743 60 to to TO A34005 743 61 imagine imagine VB A34005 743 62 the the DT A34005 743 63 two two CD A34005 743 64 first first JJ A34005 743 65 Tearms tearm NNS A34005 743 66 to to TO A34005 743 67 change change VB A34005 743 68 places place NNS A34005 743 69 , , , A34005 743 70 and and CC A34005 743 71 then then RB A34005 743 72 to to TO A34005 743 73 take take VB A34005 743 74 their -PRON- PRP$ A34005 743 75 Complements complement NNS A34005 743 76 . . . A34005 744 1 If if IN A34005 744 2 the the DT A34005 744 3 Proportion Proportion NNP A34005 744 4 were be VBD A34005 744 5 : : : A34005 744 6 As as IN A34005 744 7 Secant secant NN A34005 744 8 of of IN A34005 744 9 39d 39d NNS A34005 744 10 to to IN A34005 744 11 Secant secant NN A34005 744 12 of of IN A34005 744 13 75d 75d CD A34005 744 14 26′ 26′ CD A34005 744 15 So so RB A34005 744 16 is be VBZ A34005 744 17 the the DT A34005 744 18 Sine Sine NNP A34005 744 19 of of IN A34005 744 20 12d 12d NNS A34005 744 21 to to IN A34005 744 22 the the DT A34005 744 23 Sine Sine NNP A34005 744 24 of of IN A34005 744 25 42d 42d CD A34005 744 26 . . . A34005 745 1 It -PRON- PRP A34005 745 2 would would MD A34005 745 3 also also RB A34005 745 4 hold hold VB A34005 745 5 , , , A34005 745 6 As as IN A34005 745 7 Sine Sine NNP A34005 745 8 14d 14d NNS A34005 745 9 34′ 34′ CD A34005 745 10 , , , A34005 745 11 to to IN A34005 745 12 Sine Sine NNP A34005 745 13 of of IN A34005 745 14 52d 52d NNS A34005 745 15 . . . A34005 746 1 So so RB A34005 746 2 is be VBZ A34005 746 3 the the DT A34005 746 4 Sine Sine NNP A34005 746 5 of of IN A34005 746 6 12d 12d NNPS A34005 746 7 , , , A34005 746 8 to to IN A34005 746 9 the the DT A34005 746 10 Sine Sine NNP A34005 746 11 of of IN A34005 746 12 42d 42d CD A34005 746 13 . . . A34005 747 1 7 7 CD A34005 747 2 Two two CD A34005 747 3 Tearms Tearms NNPS A34005 747 4 whether whether IN A34005 747 5 the the DT A34005 747 6 former former JJ A34005 747 7 or or CC A34005 747 8 latter latter JJ A34005 747 9 in in IN A34005 747 10 any any DT A34005 747 11 Proportion Proportion NNP A34005 747 12 being be VBG A34005 747 13 as as IN A34005 747 14 a a DT A34005 747 15 Sine Sine NNP A34005 747 16 to to IN A34005 747 17 a a DT A34005 747 18 Tangent Tangent NNP A34005 747 19 , , , A34005 747 20 may may MD A34005 747 21 be be VB A34005 747 22 varied varied JJ A34005 747 23 . . . A34005 748 1 For for IN A34005 748 2 , , , A34005 748 3 As as IN A34005 748 4 the the DT A34005 748 5 Tangent Tangent NNP A34005 748 6 of of IN A34005 748 7 an an DT A34005 748 8 Arch Arch NNP A34005 748 9 , , , A34005 748 10 To to IN A34005 748 11 the the DT A34005 748 12 Sine Sine NNP A34005 748 13 of of IN A34005 748 14 another another DT A34005 748 15 Arch Arch NNP A34005 748 16 : : : A34005 748 17 So so RB A34005 748 18 is be VBZ A34005 748 19 the the DT A34005 748 20 Cosecant Cosecant NNP A34005 748 21 of of IN A34005 748 22 the the DT A34005 748 23 latter latter JJ A34005 748 24 Arch Arch NNP A34005 748 25 , , , A34005 748 26 To to IN A34005 748 27 the the DT A34005 748 28 Cotangent Cotangent NNP A34005 748 29 of of IN A34005 748 30 the the DT A34005 748 31 former former JJ A34005 748 32 . . . A34005 749 1 And and CC A34005 749 2 by by IN A34005 749 3 transposing transpose VBG A34005 749 4 the the DT A34005 749 5 Order order NN A34005 749 6 of of IN A34005 749 7 the the DT A34005 749 8 Tearm Tearm NNP A34005 749 9 . . . A34005 750 1 As as IN A34005 750 2 a a DT A34005 750 3 Sine Sine NNP A34005 750 4 , , , A34005 750 5 To to IN A34005 750 6 a a DT A34005 750 7 Tangent tangent NN A34005 750 8 : : : A34005 750 9 So so CC A34005 750 10 the the DT A34005 750 11 Cotangent Cotangent NNP A34005 750 12 of of IN A34005 750 13 the the DT A34005 750 14 latter latter JJ A34005 750 15 Arch Arch NNP A34005 750 16 , , , A34005 750 17 To to IN A34005 750 18 the the DT A34005 750 19 Cosecant Cosecant NNP A34005 750 20 of of IN A34005 750 21 the the DT A34005 750 22 former former JJ A34005 750 23 . . . A34005 751 1 This this DT A34005 751 2 will will MD A34005 751 3 be be VB A34005 751 4 afterwards afterwards RB A34005 751 5 used use VBN A34005 751 6 in in IN A34005 751 7 working work VBG A34005 751 8 Proportions Proportions NNP A34005 751 9 on on IN A34005 751 10 the the DT A34005 751 11 Instrument Instrument NNP A34005 751 12 , , , A34005 751 13 and and CC A34005 751 14 there there EX A34005 751 15 Instances instance NNS A34005 751 16 shall shall MD A34005 751 17 be be VB A34005 751 18 given give VBN A34005 751 19 of of IN A34005 751 20 it -PRON- PRP A34005 751 21 . . . A34005 752 1 8 8 LS A34005 752 2 . . . A34005 753 1 Lastly lastly RB A34005 753 2 , , , A34005 753 3 Observe observe VB A34005 753 4 that that IN A34005 753 5 if if IN A34005 753 6 4 4 CD A34005 753 7 Tearms Tearms NNPS A34005 753 8 or or CC A34005 753 9 Numbers number NNS A34005 753 10 are be VBP A34005 753 11 Proportional proportional JJ A34005 753 12 , , , A34005 753 13 their -PRON- PRP$ A34005 753 14 Order order NN A34005 753 15 may may MD A34005 753 16 be be VB A34005 753 17 so so RB A34005 753 18 transposed transpose VBN A34005 753 19 , , , A34005 753 20 that that IN A34005 753 21 each each DT A34005 753 22 of of IN A34005 753 23 those those DT A34005 753 24 Tearms tearm NNS A34005 753 25 may may MD A34005 753 26 be be VB A34005 753 27 the the DT A34005 753 28 last last JJ A34005 753 29 in in IN A34005 753 30 Proportion proportion NN A34005 753 31 ; ; : A34005 753 32 and and CC A34005 753 33 so so RB A34005 753 34 of of IN A34005 753 35 any any DT A34005 753 36 4 4 CD A34005 753 37 Proportional Proportional NNP A34005 753 38 Tearms Tearms NNPS A34005 753 39 , , , A34005 753 40 if if IN A34005 753 41 there there EX A34005 753 42 be be VB A34005 753 43 given give VBN A34005 753 44 , , , A34005 753 45 the the DT A34005 753 46 other other JJ A34005 753 47 that that WDT A34005 753 48 is be VBZ A34005 753 49 unknown unknown JJ A34005 753 50 may may MD A34005 753 51 be be VB A34005 753 52 found find VBN A34005 753 53 , , , A34005 753 54 Thus thus RB A34005 753 55 , , , A34005 753 56 As as IN A34005 753 57 first first RB A34005 753 58 to to IN A34005 753 59 second second JJ A34005 753 60 ∷ ∷ NNP A34005 753 61 So so RB A34005 753 62 third third JJ A34005 753 63 to to IN A34005 753 64 fourth fourth JJ A34005 753 65 . . . A34005 754 1 As as IN A34005 754 2 second second JJ A34005 754 3 to to IN A34005 754 4 the the DT A34005 754 5 first first JJ A34005 754 6 ∷ ∷ NNP A34005 754 7 So so IN A34005 754 8 the the DT A34005 754 9 fourth fourth JJ A34005 754 10 to to IN A34005 754 11 the the DT A34005 754 12 third third JJ A34005 754 13 : : : A34005 754 14 As as IN A34005 754 15 the the DT A34005 754 16 third third JJ A34005 754 17 to to IN A34005 754 18 the the DT A34005 754 19 fourth fourth JJ A34005 754 20 : : : A34005 754 21 , , , A34005 754 22 So so RB A34005 754 23 the the DT A34005 754 24 first first JJ A34005 754 25 to to IN A34005 754 26 the the DT A34005 754 27 second second JJ A34005 754 28 . . . A34005 755 1 As as IN A34005 755 2 the the DT A34005 755 3 fourth fourth JJ A34005 755 4 , , , A34005 755 5 To to IN A34005 755 6 the the DT A34005 755 7 third third JJ A34005 755 8 ∷ ∷ UH A34005 755 9 So so RB A34005 755 10 the the DT A34005 755 11 second second JJ A34005 755 12 , , , A34005 755 13 To to IN A34005 755 14 the the DT A34005 755 15 first first JJ A34005 755 16 . . . A34005 756 1 Cases case NNS A34005 756 2 of of IN A34005 756 3 Oblique Oblique NNP A34005 756 4 Sphoerical Sphoerical NNP A34005 756 5 Triangles Triangles NNPS A34005 756 6 . . . A34005 757 1 1 1 LS A34005 757 2 . . . A34005 758 1 TWo two CD A34005 758 2 Sides side NNS A34005 758 3 together together RB A34005 758 4 less less JJR A34005 758 5 then then RB A34005 758 6 a a DT A34005 758 7 Semicircle Semicircle NNP A34005 758 8 with with IN A34005 758 9 the the DT A34005 758 10 Angle Angle NNP A34005 758 11 comprehended comprehend VBN A34005 758 12 given give VBN A34005 758 13 to to TO A34005 758 14 find find VB A34005 758 15 one one CD A34005 758 16 of of IN A34005 758 17 the the DT A34005 758 18 other other JJ A34005 758 19 Angles angle NNS A34005 758 20 . . . A34005 759 1 At at IN A34005 759 2 two two CD A34005 759 3 Operations operation NNS A34005 759 4 they -PRON- PRP A34005 759 5 may may MD A34005 759 6 be be VB A34005 759 7 both both DT A34005 759 8 found find VBN A34005 759 9 by by IN A34005 759 10 a a DT A34005 759 11 Proportion proportion NN A34005 759 12 demonstrated demonstrate VBN A34005 759 13 in in IN A34005 759 14 the the DT A34005 759 15 late late JJ A34005 759 16 Trigonometry Trigonometry NNP A34005 759 17 of of IN A34005 759 18 the the DT A34005 759 19 Learned learn VBN A34005 759 20 Mr. Mr. NNP A34005 759 21 Oughtred Oughtred NNP A34005 759 22 . . . A34005 760 1 As as IN A34005 760 2 the the DT A34005 760 3 Sine Sine NNP A34005 760 4 of of IN A34005 760 5 half half PDT A34005 760 6 the the DT A34005 760 7 sum sum NN A34005 760 8 of of IN A34005 760 9 the the DT A34005 760 10 sides side NNS A34005 760 11 , , , A34005 760 12 To to IN A34005 760 13 Cotangent cotangent NN A34005 760 14 of of IN A34005 760 15 half half PDT A34005 760 16 the the DT A34005 760 17 contained contained JJ A34005 760 18 angle angle NN A34005 760 19 : : : A34005 760 20 So so RB A34005 760 21 the the DT A34005 760 22 sine sine NN A34005 760 23 of of IN A34005 760 24 half half PDT A34005 760 25 the the DT A34005 760 26 difference difference NN A34005 760 27 of of IN A34005 760 28 the the DT A34005 760 29 sides side NNS A34005 760 30 , , , A34005 760 31 To to IN A34005 760 32 the the DT A34005 760 33 Tangent tangent NN A34005 760 34 of of IN A34005 760 35 half half PDT A34005 760 36 the the DT A34005 760 37 difference difference NN A34005 760 38 of of IN A34005 760 39 the the DT A34005 760 40 other other JJ A34005 760 41 angles angle NNS A34005 760 42 . . . A34005 761 1 Again again RB A34005 761 2 , , , A34005 761 3 As as IN A34005 761 4 the the DT A34005 761 5 Cosine Cosine NNP A34005 761 6 of of IN A34005 761 7 half half PDT A34005 761 8 the the DT A34005 761 9 sum sum NN A34005 761 10 of of IN A34005 761 11 the the DT A34005 761 12 sides side NNS A34005 761 13 , , , A34005 761 14 To to IN A34005 761 15 Cotangent cotangent NN A34005 761 16 of of IN A34005 761 17 half half PDT A34005 761 18 the the DT A34005 761 19 contained contained JJ A34005 761 20 angle angle NN A34005 761 21 : : : A34005 761 22 So so CC A34005 761 23 the the DT A34005 761 24 Cosine Cosine NNP A34005 761 25 of of IN A34005 761 26 half half PDT A34005 761 27 the the DT A34005 761 28 difference difference NN A34005 761 29 of of IN A34005 761 30 the the DT A34005 761 31 sides side NNS A34005 761 32 , , , A34005 761 33 To to IN A34005 761 34 the the DT A34005 761 35 Tangent tangent NN A34005 761 36 of of IN A34005 761 37 half half PDT A34005 761 38 the the DT A34005 761 39 sum sum NN A34005 761 40 of of IN A34005 761 41 the the DT A34005 761 42 other other JJ A34005 761 43 angles angle NNS A34005 761 44 . . . A34005 762 1 Add add VB A34005 762 2 the the DT A34005 762 3 half half JJ A34005 762 4 difference difference NN A34005 762 5 to to IN A34005 762 6 the the DT A34005 762 7 half half JJ A34005 762 8 sum sum NN A34005 762 9 , , , A34005 762 10 and and CC A34005 762 11 you -PRON- PRP A34005 762 12 have have VBP A34005 762 13 the the DT A34005 762 14 greater great JJR A34005 762 15 Angle angle NN A34005 762 16 ; ; : A34005 762 17 but but CC A34005 762 18 substracted substracte VBN A34005 762 19 from from IN A34005 762 20 it -PRON- PRP A34005 762 21 , , , A34005 762 22 and and CC A34005 762 23 there there EX A34005 762 24 remains remain VBZ A34005 762 25 the the DT A34005 762 26 lesser less JJR A34005 762 27 angle angle NN A34005 762 28 . . . A34005 763 1 If if IN A34005 763 2 the the DT A34005 763 3 sum sum NN A34005 763 4 of of IN A34005 763 5 the the DT A34005 763 6 two two CD A34005 763 7 given give VBN A34005 763 8 Sides side NNS A34005 763 9 exceeds exceed VBZ A34005 763 10 a a DT A34005 763 11 Semicircle Semicircle NNP A34005 763 12 , , , A34005 763 13 the the DT A34005 763 14 Opposite Opposite NNP A34005 763 15 Triangle Triangle NNP A34005 763 16 , , , A34005 763 17 must must MD A34005 763 18 be be VB A34005 763 19 resolved resolve VBN A34005 763 20 instead instead RB A34005 763 21 of of IN A34005 763 22 that that DT A34005 763 23 propounded propound VBN A34005 763 24 . . . A34005 764 1 Here here RB A34005 764 2 note note VB A34005 764 3 that that IN A34005 764 4 evey evey NN A34005 764 5 Sphoerical Sphoerical NNP A34005 764 6 Triangle Triangle NNP A34005 764 7 hath hath NN A34005 764 8 opposite opposite IN A34005 764 9 to to IN A34005 764 10 each each DT A34005 764 11 angular angular JJ A34005 764 12 Point Point NNP A34005 764 13 , , , A34005 764 14 another another DT A34005 764 15 Triangle Triangle NNP A34005 764 16 , , , A34005 764 17 having have VBG A34005 764 18 the the DT A34005 764 19 side side NN A34005 764 20 that that WDT A34005 764 21 subtends subtend VBZ A34005 764 22 the the DT A34005 764 23 said said JJ A34005 764 24 Angle Angle NNP A34005 764 25 common common JJ A34005 764 26 to to IN A34005 764 27 both both DT A34005 764 28 , , , A34005 764 29 and and CC A34005 764 30 the the DT A34005 764 31 angle angle NN A34005 764 32 opposite opposite IN A34005 764 33 thereto thereto NNP A34005 764 34 equal equal JJ A34005 764 35 , , , A34005 764 36 the the DT A34005 764 37 other other JJ A34005 764 38 parts part NNS A34005 764 39 of of IN A34005 764 40 it -PRON- PRP A34005 764 41 are be VBP A34005 764 42 the the DT A34005 764 43 Complements Complements NNPS A34005 764 44 of of IN A34005 764 45 the the DT A34005 764 46 several several JJ A34005 764 47 parts part NNS A34005 764 48 of of IN A34005 764 49 the the DT A34005 764 50 former former JJ A34005 764 51 to to IN A34005 764 52 a a DT A34005 764 53 Semicircle Semicircle NNP A34005 764 54 . . . A34005 765 1 So so CC A34005 765 2 if if IN A34005 765 3 in in IN A34005 765 4 the the DT A34005 765 5 Triangle Triangle NNP A34005 765 6 B B NNP A34005 765 7 C C NNP A34005 765 8 D d NN A34005 765 9 there there EX A34005 765 10 were be VBD A34005 765 11 given give VBN A34005 765 12 the the DT A34005 765 13 sides side NNS A34005 765 14 B B NNP A34005 765 15 C C NNP A34005 765 16 , , , A34005 765 17 and and CC A34005 765 18 C c NN A34005 765 19 D d NN A34005 765 20 with with IN A34005 765 21 their -PRON- PRP$ A34005 765 22 contained contain VBN A34005 765 23 Angle Angle NNP A34005 765 24 B B NNP A34005 765 25 C C NNP A34005 765 26 D d NN A34005 765 27 to to TO A34005 765 28 find find VB A34005 765 29 the the DT A34005 765 30 Angle Angle NNP A34005 765 31 C c NN A34005 765 32 B B NNP A34005 765 33 D d NN A34005 765 34 because because IN A34005 765 35 these these DT A34005 765 36 two two CD A34005 765 37 sides side NNS A34005 765 38 are be VBP A34005 765 39 greater great JJR A34005 765 40 then then RB A34005 765 41 a a DT A34005 765 42 Semicircle Semicircle NNP A34005 765 43 , , , A34005 765 44 resolve resolve VB A34005 765 45 the the DT A34005 765 46 opposite opposite JJ A34005 765 47 Triangle Triangle NNP A34005 765 48 C C NNP A34005 765 49 A A NNP A34005 765 50 D d NN A34005 765 51 , , , A34005 765 52 in in IN A34005 765 53 which which WDT A34005 765 54 there there EX A34005 765 55 will will MD A34005 765 56 be be VB A34005 765 57 given give VBN A34005 765 58 C C NNP A34005 765 59 A A NNP A34005 765 60 , , , A34005 765 61 which which WDT A34005 765 62 may may MD A34005 765 63 be be VB A34005 765 64 the the DT A34005 765 65 Complement Complement NNP A34005 765 66 of of IN A34005 765 67 the the DT A34005 765 68 Latitude Latitude NNP A34005 765 69 38d 38d CD A34005 765 70 28″ 28″ CD A34005 765 71 , , , A34005 765 72 and and CC A34005 765 73 C c NN A34005 765 74 D d NN A34005 765 75 the the DT A34005 765 76 Complement Complement NNP A34005 765 77 of of IN A34005 765 78 the the DT A34005 765 79 Altitude altitude NN A34005 765 80 83d 83d NNS A34005 765 81 with with IN A34005 765 82 the the DT A34005 765 83 angle angle NN A34005 765 84 A a NN A34005 765 85 C c NN A34005 765 86 D d NN A34005 765 87 , , , A34005 765 88 the the DT A34005 765 89 Suns Suns NNPS A34005 765 90 Azimuth Azimuth NNP A34005 765 91 from from IN A34005 765 92 the the DT A34005 765 93 North North NNP A34005 765 94 73d 73d , A34005 765 95 to to TO A34005 765 96 find find VB A34005 765 97 the the DT A34005 765 98 angle angle NN A34005 765 99 C c NN A34005 765 100 A a NN A34005 765 101 D d NN A34005 765 102 the the DT A34005 765 103 hour hour NN A34005 765 104 from from IN A34005 765 105 Noon Noon NNP A34005 765 106 . . . A34005 766 1 C C NNP A34005 766 2 A A NNP A34005 766 3 38d 38d NNS A34005 766 4 : : : A34005 766 5 28′ 28′ CD A34005 766 6 Sides side NNS A34005 766 7 , , , A34005 766 8 C C NNP A34005 766 9 D d NN A34005 766 10 83 83 CD A34005 766 11 : : SYM A34005 766 12 00 00 NFP A34005 766 13 Sides side NNS A34005 766 14 , , , A34005 766 15 121 121 CD A34005 766 16 : : : A34005 766 17 28′ 28′ CD A34005 766 18 sum sum NN A34005 766 19 60 60 CD A34005 766 20 : : : A34005 766 21 44 44 CD A34005 766 22 half half NN A34005 766 23 sum sum NN A34005 766 24 Logarithms Logarithms NNP A34005 766 25 Logarith Logarith NNP A34005 766 26 . . . A34005 767 1 44 44 CD A34005 767 2 : : : A34005 767 3 32 32 CD A34005 767 4 difference difference NN A34005 767 5 22 22 CD A34005 767 6 : : SYM A34005 767 7 16 16 CD A34005 767 8 difference difference NN A34005 767 9 , , , A34005 767 10 Sine Sine NNP A34005 767 11 957854 957854 CD A34005 767 12 Cosine Cosine NNP A34005 767 13 — — : A34005 767 14 996634 996634 CD A34005 767 15 36 36 CD A34005 767 16 : : : A34005 767 17 30 30 CD A34005 767 18 half half NN A34005 767 19 the the DT A34005 767 20 Angle Angle NNP A34005 767 21 53 53 CD A34005 767 22 : : : A34005 767 23 30 30 CD A34005 767 24 Complement Complement NNP A34005 767 25 , , , A34005 767 26 Tang Tang NNP A34005 767 27 : : : A34005 767 28 1013079 1013079 CD A34005 767 29 Idem Idem NNP A34005 767 30 — — : A34005 767 31 1013079 1013079 CD A34005 767 32 1970933 1970933 CD A34005 767 33 2009713 2009713 CD A34005 767 34 Sine Sine NNP A34005 767 35 of of IN A34005 767 36 60d 60d CD A34005 767 37 44′ 44′ CD A34005 767 38 half half NN A34005 767 39 sum sum NN A34005 767 40 994069 994069 CD A34005 767 41 Cosine Cosine NNP A34005 767 42 968919 968919 CD A34005 767 43 Tang Tang NNP A34005 767 44 : : : A34005 767 45 of of IN A34005 767 46 30d 30d NNS A34005 767 47 24′ 24′ NNP A34005 767 48 ½ ½ NN A34005 767 49 — — : A34005 767 50 976864 976864 CD A34005 767 51 tan tan NNP A34005 767 52 68d 68d CD A34005 767 53 39′ 39′ CD A34005 767 54 1040794 1040794 CD A34005 767 55 Sum Sum NNP A34005 767 56 99 99 CD A34005 767 57 : : : A34005 767 58 3 3 CD A34005 767 59 hour hour NN A34005 767 60 , , , A34005 767 61 in in IN A34005 767 62 Time Time NNP A34005 767 63 36′ 36′ CD A34005 767 64 before before IN A34005 767 65 6 6 CD A34005 767 66 in in IN A34005 767 67 the the DT A34005 767 68 morning morning NN A34005 767 69 , , , A34005 767 70 or or CC A34005 767 71 as as RB A34005 767 72 much much JJ A34005 767 73 after after IN A34005 767 74 it -PRON- PRP A34005 767 75 in in IN A34005 767 76 the the DT A34005 767 77 afternoon afternoon NN A34005 767 78 , , , A34005 767 79 difference difference NN A34005 767 80 38d 38d CD A34005 767 81 15′ 15′ CD A34005 767 82 Angle angle NN A34005 767 83 of of IN A34005 767 84 ☉ ☉ NNP A34005 767 85 position position NN A34005 767 86 . . . A34005 768 1 2 2 LS A34005 768 2 , , , A34005 768 3 Two two CD A34005 768 4 Angles angle NNS A34005 768 5 together together RB A34005 768 6 less less RBR A34005 768 7 then then RB A34005 768 8 a a DT A34005 768 9 Semicircle Semicircle NNP A34005 768 10 with with IN A34005 768 11 the the DT A34005 768 12 side side NN A34005 768 13 between between IN A34005 768 14 them -PRON- PRP A34005 768 15 , , , A34005 768 16 alias alias NNP A34005 768 17 , , , A34005 768 18 the the DT A34005 768 19 Interjacent interjacent JJ A34005 768 20 side side NN A34005 768 21 , , , A34005 768 22 To to TO A34005 768 23 find find VB A34005 768 24 one one CD A34005 768 25 of of IN A34005 768 26 the the DT A34005 768 27 other other JJ A34005 768 28 sides side NNS A34005 768 29 . . . A34005 769 1 This this DT A34005 769 2 is be VBZ A34005 769 3 but but CC A34005 769 4 the the DT A34005 769 5 Converse Converse NNP A34005 769 6 of of IN A34005 769 7 the the DT A34005 769 8 former former JJ A34005 769 9 to to TO A34005 769 10 be be VB A34005 769 11 performed perform VBN A34005 769 12 at at IN A34005 769 13 two two CD A34005 769 14 Operations Operations NNPS A34005 769 15 to to TO A34005 769 16 get get VB A34005 769 17 them -PRON- PRP A34005 769 18 both both DT A34005 769 19 , , , A34005 769 20 and and CC A34005 769 21 the the DT A34005 769 22 Proportion Proportion NNP A34005 769 23 thence thence NN A34005 769 24 applyed apply VBN A34005 769 25 by by IN A34005 769 26 changing change VBG A34005 769 27 the the DT A34005 769 28 sides side NNS A34005 769 29 into into IN A34005 769 30 Angles angle NNS A34005 769 31 . . . A34005 770 1 As as IN A34005 770 2 the the DT A34005 770 3 Sine Sine NNP A34005 770 4 of of IN A34005 770 5 the the DT A34005 770 6 half half JJ A34005 770 7 sum sum NN A34005 770 8 of of IN A34005 770 9 the the DT A34005 770 10 angles angle NNS A34005 770 11 , , , A34005 770 12 To to IN A34005 770 13 the the DT A34005 770 14 Sine Sine NNP A34005 770 15 of of IN A34005 770 16 half half PDT A34005 770 17 their -PRON- PRP$ A34005 770 18 difference difference NN A34005 770 19 : : : A34005 770 20 So so RB A34005 770 21 is be VBZ A34005 770 22 the the DT A34005 770 23 Tangent Tangent NNP A34005 770 24 of of IN A34005 770 25 half half PDT A34005 770 26 the the DT A34005 770 27 interjacent interjacent JJ A34005 770 28 side side NN A34005 770 29 , , , A34005 770 30 To to IN A34005 770 31 the the DT A34005 770 32 Tangent tangent NN A34005 770 33 of of IN A34005 770 34 half half PDT A34005 770 35 the the DT A34005 770 36 difference difference NN A34005 770 37 of of IN A34005 770 38 the the DT A34005 770 39 other other JJ A34005 770 40 sides side NNS A34005 770 41 . . . A34005 771 1 Again again RB A34005 771 2 . . . A34005 772 1 As as IN A34005 772 2 the the DT A34005 772 3 Cosine Cosine NNP A34005 772 4 of of IN A34005 772 5 the the DT A34005 772 6 half half JJ A34005 772 7 sum sum NN A34005 772 8 of of IN A34005 772 9 the the DT A34005 772 10 angles angle NNS A34005 772 11 , , , A34005 772 12 To to IN A34005 772 13 the the DT A34005 772 14 Tangent Tangent NNP A34005 772 15 of of IN A34005 772 16 half half PDT A34005 772 17 the the DT A34005 772 18 interjacent interjacent JJ A34005 772 19 side side NN A34005 772 20 : : : A34005 772 21 So so CC A34005 772 22 the the DT A34005 772 23 Cosine Cosine NNP A34005 772 24 of of IN A34005 772 25 half half PDT A34005 772 26 their -PRON- PRP$ A34005 772 27 difference difference NN A34005 772 28 , , , A34005 772 29 To to IN A34005 772 30 the the DT A34005 772 31 Tangent tangent NN A34005 772 32 of of IN A34005 772 33 the the DT A34005 772 34 half half JJ A34005 772 35 sum sum NN A34005 772 36 of of IN A34005 772 37 the the DT A34005 772 38 other other JJ A34005 772 39 sides side NNS A34005 772 40 . . . A34005 773 1 If if IN A34005 773 2 half half PDT A34005 773 3 the the DT A34005 773 4 difference difference NN A34005 773 5 of of IN A34005 773 6 the the DT A34005 773 7 sides side NNS A34005 773 8 be be VB A34005 773 9 added add VBN A34005 773 10 to to IN A34005 773 11 half half PDT A34005 773 12 the the DT A34005 773 13 sum sum NN A34005 773 14 of of IN A34005 773 15 the the DT A34005 773 16 sides side NNS A34005 773 17 , , , A34005 773 18 it -PRON- PRP A34005 773 19 makes make VBZ A34005 773 20 the the DT A34005 773 21 greater great JJR A34005 773 22 side side NN A34005 773 23 ; ; : A34005 773 24 but but CC A34005 773 25 substracted substracte VBN A34005 773 26 from from IN A34005 773 27 it -PRON- PRP A34005 773 28 , , , A34005 773 29 leaves leave VBZ A34005 773 30 the the DT A34005 773 31 lesser less JJR A34005 773 32 . . . A34005 774 1 If if IN A34005 774 2 the the DT A34005 774 3 Sum Sum NNP A34005 774 4 of of IN A34005 774 5 the the DT A34005 774 6 two two CD A34005 774 7 given give VBN A34005 774 8 Angles Angles NNP A34005 774 9 exceeds exceed VBZ A34005 774 10 a a DT A34005 774 11 Semicircle Semicircle NNP A34005 774 12 , , , A34005 774 13 then then RB A34005 774 14 , , , A34005 774 15 as as IN A34005 774 16 in in IN A34005 774 17 the the DT A34005 774 18 former former JJ A34005 774 19 Case Case NNP A34005 774 20 , , , A34005 774 21 resolve resolve VB A34005 774 22 the the DT A34005 774 23 Opposite Opposite NNP A34005 774 24 Triangle Triangle NNP A34005 774 25 . . . A34005 775 1 So so RB A34005 775 2 in in IN A34005 775 3 the the DT A34005 775 4 Triangle Triangle NNP A34005 775 5 Z Z NNP A34005 775 6 P p NN A34005 775 7 ☉ ☉ NNS A34005 775 8 if if IN A34005 775 9 there there EX A34005 775 10 were be VBD A34005 775 11 given give VBN A34005 775 12 the the DT A34005 775 13 angle angle NN A34005 775 14 ☉ ☉ NNPS A34005 775 15 Z Z NNP A34005 775 16 P P NNP A34005 775 17 , , , A34005 775 18 the the DT A34005 775 19 Suns Suns NNPS A34005 775 20 Azimuth Azimuth NNP A34005 775 21 from from IN A34005 775 22 the the DT A34005 775 23 North North NNP A34005 775 24 63d 63d NNPS A34005 775 25 54′ 54′ NNP A34005 775 26 , , , A34005 775 27 and and CC A34005 775 28 the the DT A34005 775 29 hour hour NN A34005 775 30 from from IN A34005 775 31 Z Z NNP A34005 775 32 P P NNP A34005 775 33 ☉ ☉ NNP A34005 775 34 105 105 CD A34005 775 35 ● ● NFP A34005 775 36 in in IN A34005 775 37 time time NN A34005 775 38 5 5 CD A34005 775 39 in in IN A34005 775 40 the the DT A34005 775 41 morning morning NN A34005 775 42 , , , A34005 775 43 or or CC A34005 775 44 7 7 CD A34005 775 45 in in IN A34005 775 46 the the DT A34005 775 47 evening evening NN A34005 775 48 , , , A34005 775 49 and and CC A34005 775 50 the the DT A34005 775 51 Complement Complement NNP A34005 775 52 of of IN A34005 775 53 the the DT A34005 775 54 Latitude Latitude NNP A34005 775 55 Z Z NNP A34005 775 56 P P NNP A34005 775 57 38d 38d CD A34005 775 58 28′ 28′ CD A34005 775 59 , , , A34005 775 60 to to TO A34005 775 61 find find VB A34005 775 62 the the DT A34005 775 63 Complement Complement NNP A34005 775 64 of of IN A34005 775 65 the the DT A34005 775 66 Altitude Altitude NNP A34005 775 67 Z Z NNP A34005 775 68 ☉ ☉ NNP A34005 775 69 80d 80d NNS A34005 775 70 31′ 31′ CD A34005 775 71 , , , A34005 775 72 or or CC A34005 775 73 the the DT A34005 775 74 Complement Complement NNP A34005 775 75 of of IN A34005 775 76 the the DT A34005 775 77 Declination Declination NNP A34005 775 78 ☉ ☉ NNP A34005 775 79 P P NNP A34005 775 80 66 66 CD A34005 775 81 ● ● CD A34005 775 82 29′ 29′ CD A34005 775 83 , , , A34005 775 84 two two CD A34005 775 85 Operations Operations NNPS A34005 775 86 finds find VBZ A34005 775 87 both both DT A34005 775 88 , , , A34005 775 89 and and CC A34005 775 90 neither neither CC A34005 775 91 with with IN A34005 775 92 less less JJR A34005 775 93 . . . A34005 776 1 Example example NN A34005 776 2 . . . A34005 777 1 Angle Angle NNP A34005 777 2 Z Z NNP A34005 777 3 P P NNP A34005 777 4 ☉ ☉ NNPS A34005 777 5 — — : A34005 777 6 105d 105d NNS A34005 777 7 , , , A34005 777 8 00d 00d `` A34005 777 9 P p NN A34005 777 10 Z Z NNP A34005 777 11 ☉ ☉ NNS A34005 777 12 — — : A34005 777 13 63 63 CD A34005 777 14 : : SYM A34005 777 15 54 54 CD A34005 777 16 difference difference NN A34005 777 17 — — : A34005 777 18 41d 41d NNS A34005 777 19 6′ 6′ CD A34005 777 20 half half NN A34005 777 21 difference difference NN A34005 777 22 — — : A34005 777 23 20 20 CD A34005 777 24 : : : A34005 777 25 33 33 CD A34005 777 26 Sine Sine NNP A34005 777 27 — — : A34005 777 28 954533 954533 CD A34005 777 29 Cosine Cosine NNP A34005 777 30 997144 997144 CD A34005 777 31 half half PDT A34005 777 32 the the DT A34005 777 33 side side NN A34005 777 34 Z Z NNP A34005 777 35 P p NN A34005 777 36 — — : A34005 777 37 19 19 CD A34005 777 38 : : : A34005 777 39 14 14 CD A34005 777 40 Tang Tang NNP A34005 777 41 — — : A34005 777 42 954268 954268 CD A34005 777 43 Idem Idem NNP A34005 777 44 954268 954268 CD A34005 777 45 Sum Sum NNP A34005 777 46 of of IN A34005 777 47 the the DT A34005 777 48 〈 〈 NNPS A34005 777 49 … … NFP A34005 777 50 〉 〉 NNP A34005 777 51 — — : A34005 777 52 168 168 CD A34005 777 53 : : SYM A34005 777 54 54 54 CD A34005 777 55 1908801 1908801 CD A34005 777 56 1951412 1951412 CD A34005 777 57 half half NN A34005 777 58 sum sum NN A34005 777 59 — — : A34005 777 60 84 84 CD A34005 777 61 : : : A34005 777 62 27 27 CD A34005 777 63 Sine sine NN A34005 777 64 — — : A34005 777 65 999796 999796 CD A34005 777 66 Cosine Cosine NNP A34005 777 67 898549 898549 CD A34005 777 68 Tangent Tangent NNP A34005 777 69 — — : A34005 777 70 7 7 CD A34005 777 71 : : SYM A34005 777 72 1′ 1′ CD A34005 777 73 909005 909005 CD A34005 777 74 ta ta NNP A34005 777 75 73 73 CD A34005 777 76 ● ● CD A34005 777 77 30′ 30′ CD A34005 777 78 1052863 1052863 CD A34005 777 79 73 73 CD A34005 777 80 : : SYM A34005 777 81 30 30 CD A34005 777 82 Sum Sum NNP A34005 777 83 — — : A34005 777 84 80 80 CD A34005 777 85 31 31 CD A34005 777 86 the the DT A34005 777 87 greater great JJR A34005 777 88 side side NN A34005 777 89 Z Z NNP A34005 777 90 ☉ ☉ NNPS A34005 777 91 Difference Difference NNP A34005 777 92 — — : A34005 777 93 66 66 CD A34005 777 94 29 29 CD A34005 777 95 the the DT A34005 777 96 lesser less JJR A34005 777 97 side side NN A34005 777 98 ☉ ☉ NNP A34005 777 99 P p NN A34005 777 100 3 3 CD A34005 777 101 . . . A34005 778 1 Two two CD A34005 778 2 sides side NNS A34005 778 3 with with IN A34005 778 4 an an DT A34005 778 5 Angle Angle NNP A34005 778 6 opposite opposite NN A34005 778 7 to to IN A34005 778 8 one one CD A34005 778 9 of of IN A34005 778 10 them -PRON- PRP A34005 778 11 given give VBN A34005 778 12 , , , A34005 778 13 To to TO A34005 778 14 find find VB A34005 778 15 the the DT A34005 778 16 Angle Angle NNP A34005 778 17 opposite opposite IN A34005 778 18 to to IN A34005 778 19 the the DT A34005 778 20 other other JJ A34005 778 21 , , , A34005 778 22 its -PRON- PRP$ A34005 778 23 Affection Affection NNP A34005 778 24 being be VBG A34005 778 25 fore fore RB A34005 778 26 - - HYPH A34005 778 27 known know VBN A34005 778 28 . . . A34005 779 1 As as IN A34005 779 2 the the DT A34005 779 3 Sine Sine NNP A34005 779 4 of of IN A34005 779 5 the the DT A34005 779 6 side side NN A34005 779 7 opposite opposite RB A34005 779 8 to to IN A34005 779 9 the the DT A34005 779 10 angle angle NN A34005 779 11 given give VBN A34005 779 12 Is be VBZ A34005 779 13 to to IN A34005 779 14 the the DT A34005 779 15 Sine Sine NNP A34005 779 16 of of IN A34005 779 17 its -PRON- PRP$ A34005 779 18 Opposite opposite JJ A34005 779 19 angle angle NN A34005 779 20 : : : A34005 779 21 So so RB A34005 779 22 is be VBZ A34005 779 23 the the DT A34005 779 24 sine sine NN A34005 779 25 of of IN A34005 779 26 the the DT A34005 779 27 side side NN A34005 779 28 opposite opposite RB A34005 779 29 to to IN A34005 779 30 the the DT A34005 779 31 angle angle NN A34005 779 32 sought seek VBN A34005 779 33 , , , A34005 779 34 To to IN A34005 779 35 the the DT A34005 779 36 sine sine NN A34005 779 37 of of IN A34005 779 38 its -PRON- PRP$ A34005 779 39 opposite opposite JJ A34005 779 40 angle angle NN A34005 779 41 . . . A34005 780 1 Here here RB A34005 780 2 note note VB A34005 780 3 , , , A34005 780 4 that that IN A34005 780 5 the the DT A34005 780 6 same same JJ A34005 780 7 Sine Sine NNP A34005 780 8 is be VBZ A34005 780 9 common common JJ A34005 780 10 to to IN A34005 780 11 an an DT A34005 780 12 Arch Arch NNP A34005 780 13 , , , A34005 780 14 and and CC A34005 780 15 to to IN A34005 780 16 its -PRON- PRP$ A34005 780 17 Complement Complement NNP A34005 780 18 to to IN A34005 780 19 180 180 CD A34005 780 20 , , , A34005 780 21 if if IN A34005 780 22 the the DT A34005 780 23 Angle Angle NNP A34005 780 24 sought seek VBD A34005 780 25 be be VB A34005 780 26 foreknown foreknow VBN A34005 780 27 to to TO A34005 780 28 be be VB A34005 780 29 Obtuse Obtuse NNP A34005 780 30 , , , A34005 780 31 substract substract VB A34005 780 32 the the DT A34005 780 33 Arch Arch NNP A34005 780 34 found find VBD A34005 780 35 from from IN A34005 780 36 180 180 CD A34005 780 37 ● ● NFP A34005 780 38 and and CC A34005 780 39 there there EX A34005 780 40 remains remain VBZ A34005 780 41 the the DT A34005 780 42 angle angle NN A34005 780 43 sought seek VBN A34005 780 44 . . . A34005 781 1 Example example NN A34005 781 2 . . . A34005 782 1 So so RB A34005 782 2 in in IN A34005 782 3 the the DT A34005 782 4 former former JJ A34005 782 5 Triangle Triangle NNP A34005 782 6 , , , A34005 782 7 if if IN A34005 782 8 there there EX A34005 782 9 were be VBD A34005 782 10 given give VBN A34005 782 11 the the DT A34005 782 12 side side NN A34005 782 13 ☉ ☉ NNS A34005 782 14 P p NN A34005 782 15 66d 66d CD A34005 782 16 29′ 29′ CD A34005 782 17 the the DT A34005 782 18 Complement Complement NNP A34005 782 19 of of IN A34005 782 20 the the DT A34005 782 21 Declination Declination NNP A34005 782 22 with with IN A34005 782 23 its -PRON- PRP$ A34005 782 24 opposite opposite JJ A34005 782 25 angle angle NN A34005 782 26 P p NN A34005 782 27 Z Z NNP A34005 782 28 ☉ ☉ NNS A34005 782 29 63d 63d NNS A34005 782 30 54′ 54′ CD A34005 782 31 , , , A34005 782 32 the the DT A34005 782 33 Suns Suns NNPS A34005 782 34 Azimuth Azimuth NNP A34005 782 35 from from IN A34005 782 36 the the DT A34005 782 37 North North NNP A34005 782 38 , , , A34005 782 39 and and CC A34005 782 40 the the DT A34005 782 41 side side NN A34005 782 42 Z Z NNP A34005 782 43 ☉ ☉ NNS A34005 782 44 , , , A34005 782 45 the the DT A34005 782 46 Complement Complement NNP A34005 782 47 of of IN A34005 782 48 the the DT A34005 782 49 ☉ ☉ NNPS A34005 782 50 Altitude Altitude NNP A34005 782 51 80 80 CD A34005 782 52 31′ 31′ CD A34005 782 53 , , , A34005 782 54 the the DT A34005 782 55 Angle Angle NNP A34005 782 56 Z Z NNP A34005 782 57 P P NNP A34005 782 58 ☉ ☉ VBZ A34005 782 59 the the DT A34005 782 60 hour hour NN A34005 782 61 from from IN A34005 782 62 Noon Noon NNP A34005 782 63 would would MD A34005 782 64 be be VB A34005 782 65 found find VBN A34005 782 66 to to TO A34005 782 67 be be VB A34005 782 68 105 105 CD A34005 782 69 . . . A34005 783 1 Sine Sine NNP A34005 783 2 63d 63d NNP A34005 783 3 54′ 54′ CD A34005 783 4 — — : A34005 783 5 995329 995329 CD A34005 783 6 80 80 CD A34005 783 7 31 31 CD A34005 783 8 — — : A34005 783 9 999402 999402 CD A34005 783 10 1994731 1994731 CD A34005 783 11 Sine Sine NNP A34005 783 12 66d 66d CD A34005 783 13 29′ 29′ CD A34005 783 14 — — : A34005 783 15 9906234 9906234 CD A34005 783 16 Sine Sine NNP A34005 783 17 75d 75d NNPS A34005 783 18 — — : A34005 783 19 998497 998497 CD A34005 783 20 The the DT A34005 783 21 Complement Complement NNP A34005 783 22 of of IN A34005 783 23 75d 75d CD A34005 783 24 is be VBZ A34005 783 25 the the DT A34005 783 26 angle angle NN A34005 783 27 sought seek VBD A34005 783 28 , , , A34005 783 29 being be VBG A34005 783 30 105d 105d CD A34005 783 31 , , , A34005 783 32 and and CC A34005 783 33 so so RB A34005 783 34 much much JJ A34005 783 35 is be VBZ A34005 783 36 the the DT A34005 783 37 hour hour NN A34005 783 38 from from IN A34005 783 39 Noon Noon NNP A34005 783 40 . . . A34005 784 1 In in IN A34005 784 2 some some DT A34005 784 3 Cases case NNS A34005 784 4 the the DT A34005 784 5 Affection Affection NNP A34005 784 6 of of IN A34005 784 7 the the DT A34005 784 8 angle angle NN A34005 784 9 sought seek VBN A34005 784 10 can can MD A34005 784 11 not not RB A34005 784 12 be be VB A34005 784 13 determined determine VBN A34005 784 14 from from IN A34005 784 15 what what WP A34005 784 16 is be VBZ A34005 784 17 given give VBN A34005 784 18 ; ; : A34005 784 19 Such such JJ A34005 784 20 Cases case NNS A34005 784 21 are be VBP A34005 784 22 , , , A34005 784 23 When when WRB A34005 784 24 the the DT A34005 784 25 given give VBN A34005 784 26 Angle angle NN A34005 784 27 is be VBZ A34005 784 28 Acute acute JJ A34005 784 29 , , , A34005 784 30 and and CC A34005 784 31 the the DT A34005 784 32 opposite opposite JJ A34005 784 33 Side side NN A34005 784 34 less less RBR A34005 784 35 then then RB A34005 784 36 a a DT A34005 784 37 Quadrant Quadrant NNP A34005 784 38 , , , A34005 784 39 and and CC A34005 784 40 the the DT A34005 784 41 adjacent adjacent JJ A34005 784 42 or or CC A34005 784 43 other other JJ A34005 784 44 Side side NN A34005 784 45 greater great JJR A34005 784 46 then then IN A34005 784 47 the the DT A34005 784 48 opposite opposite JJ A34005 784 49 Side side NN A34005 784 50 , , , A34005 784 51 and and CC A34005 784 52 its -PRON- PRP$ A34005 784 53 Complement Complement NNP A34005 784 54 to to IN A34005 784 55 a a DT A34005 784 56 Semicircle Semicircle NNP A34005 784 57 also also RB A34005 784 58 greater great JJR A34005 784 59 then then RB A34005 784 60 the the DT A34005 784 61 opposite opposite JJ A34005 784 62 Side side NN A34005 784 63 . . . A34005 785 1 Also also RB A34005 785 2 when when WRB A34005 785 3 the the DT A34005 785 4 given give VBN A34005 785 5 Angle angle NN A34005 785 6 is be VBZ A34005 785 7 Obtuse Obtuse NNP A34005 785 8 , , , A34005 785 9 and and CC A34005 785 10 the the DT A34005 785 11 opposite opposite JJ A34005 785 12 Side side NN A34005 785 13 greater great JJR A34005 785 14 then then RB A34005 785 15 a a DT A34005 785 16 Quadrant Quadrant NNP A34005 785 17 , , , A34005 785 18 and and CC A34005 785 19 also also RB A34005 785 20 greater great JJR A34005 785 21 then then RB A34005 785 22 the the DT A34005 785 23 other other JJ A34005 785 24 side side NN A34005 785 25 , , , A34005 785 26 and and CC A34005 785 27 greater great JJR A34005 785 28 then then RB A34005 785 29 the the DT A34005 785 30 Complement Complement NNP A34005 785 31 of of IN A34005 785 32 the the DT A34005 785 33 said say VBD A34005 785 34 other other JJ A34005 785 35 Side side NN A34005 785 36 to to IN A34005 785 37 a a DT A34005 785 38 Semicircle Semicircle NNP A34005 785 39 . . . A34005 786 1 In in IN A34005 786 2 all all DT A34005 786 3 other other JJ A34005 786 4 Cases case NNS A34005 786 5 the the DT A34005 786 6 Affection Affection NNP A34005 786 7 of of IN A34005 786 8 the the DT A34005 786 9 Angle Angle NNP A34005 786 10 sought seek VBN A34005 786 11 may may MD A34005 786 12 be be VB A34005 786 13 determined determine VBN A34005 786 14 from from IN A34005 786 15 what what WP A34005 786 16 is be VBZ A34005 786 17 given give VBN A34005 786 18 ; ; : A34005 786 19 in in IN A34005 786 20 these these DT A34005 786 21 it -PRON- PRP A34005 786 22 can can MD A34005 786 23 not not RB A34005 786 24 without without IN A34005 786 25 the the DT A34005 786 26 help help NN A34005 786 27 of of IN A34005 786 28 the the DT A34005 786 29 third third JJ A34005 786 30 side side NN A34005 786 31 ( ( -LRB- A34005 786 32 or or CC A34005 786 33 something something NN A34005 786 34 else else RB A34005 786 35 given give VBN A34005 786 36 ) ) -RRB- A34005 786 37 Where where WRB A34005 786 38 Cases case NNS A34005 786 39 are be VBP A34005 786 40 thus thus RB A34005 786 41 doubtful doubtful JJ A34005 786 42 , , , A34005 786 43 there there EX A34005 786 44 can can MD A34005 786 45 be be VB A34005 786 46 but but CC A34005 786 47 a a DT A34005 786 48 double double JJ A34005 786 49 answer answer NN A34005 786 50 , , , A34005 786 51 and and CC A34005 786 52 both both CC A34005 786 53 true true JJ A34005 786 54 ; ; : A34005 786 55 wherefore wherefore NN A34005 786 56 find find VB A34005 786 57 the the DT A34005 786 58 Acute Acute NNP A34005 786 59 Angle Angle NNP A34005 786 60 and and CC A34005 786 61 its -PRON- PRP$ A34005 786 62 Complement Complement NNP A34005 786 63 to to IN A34005 786 64 180d 180d NNPS A34005 786 65 and and CC A34005 786 66 the the DT A34005 786 67 like like JJ A34005 786 68 answer answer NN A34005 786 69 give give VB A34005 786 70 in in IN A34005 786 71 Case Case NNP A34005 786 72 4 4 CD A34005 786 73 ● ● SYM A34005 786 74 h h NN A34005 786 75 , , , A34005 786 76 5 5 CD A34005 786 77 ● ● SYM A34005 786 78 h h NN A34005 786 79 , , , A34005 786 80 6th 6th NN A34005 786 81 , , , A34005 786 82 7th 7th JJ A34005 786 83 and and CC A34005 786 84 8th 8th JJ A34005 786 85 following following NN A34005 786 86 . . . A34005 787 1 4 4 LS A34005 787 2 , , , A34005 787 3 Two two CD A34005 787 4 Angles angle NNS A34005 787 5 with with IN A34005 787 6 a a DT A34005 787 7 Side side NN A34005 787 8 opposite opposite NN A34005 787 9 to to IN A34005 787 10 one one CD A34005 787 11 of of IN A34005 787 12 them -PRON- PRP A34005 787 13 being be VBG A34005 787 14 given give VBN A34005 787 15 , , , A34005 787 16 To to TO A34005 787 17 find find VB A34005 787 18 the the DT A34005 787 19 Side side NN A34005 787 20 opposite opposite RB A34005 787 21 to to IN A34005 787 22 the the DT A34005 787 23 other other JJ A34005 787 24 , , , A34005 787 25 its -PRON- PRP$ A34005 787 26 Affection Affection NNP A34005 787 27 being be VBG A34005 787 28 foreknown foreknow VBN A34005 787 29 . . . A34005 788 1 As as IN A34005 788 2 the the DT A34005 788 3 Sine Sine NNP A34005 788 4 of of IN A34005 788 5 the the DT A34005 788 6 angle angle NN A34005 788 7 opposite opposite RB A34005 788 8 to to IN A34005 788 9 the the DT A34005 788 10 given give VBN A34005 788 11 side side NN A34005 788 12 , , , A34005 788 13 Is be VBZ A34005 788 14 to to IN A34005 788 15 the the DT A34005 788 16 Sine Sine NNP A34005 788 17 of of IN A34005 788 18 the the DT A34005 788 19 given give VBN A34005 788 20 Side side NN A34005 788 21 : : : A34005 788 22 So so RB A34005 788 23 is be VBZ A34005 788 24 the the DT A34005 788 25 Sine Sine NNP A34005 788 26 of of IN A34005 788 27 the the DT A34005 788 28 angle angle NN A34005 788 29 opposite opposite IN A34005 788 30 to to IN A34005 788 31 the the DT A34005 788 32 side side NN A34005 788 33 sought seek VBN A34005 788 34 , , , A34005 788 35 To to IN A34005 788 36 the the DT A34005 788 37 Sine Sine NNP A34005 788 38 of of IN A34005 788 39 the the DT A34005 788 40 side side NN A34005 788 41 sought seek VBD A34005 788 42 . . . A34005 789 1 If if IN A34005 789 2 the the DT A34005 789 3 side side NN A34005 789 4 sought seek VBD A34005 789 5 be be VB A34005 789 6 foreknown foreknow VBN A34005 789 7 to to TO A34005 789 8 be be VB A34005 789 9 Obtuse Obtuse NNP A34005 789 10 , , , A34005 789 11 the the DT A34005 789 12 Complement Complement NNP A34005 789 13 of of IN A34005 789 14 the the DT A34005 789 15 Ark Ark NNP A34005 789 16 found find VBD A34005 789 17 to to IN A34005 789 18 180 180 CD A34005 789 19 will will MD A34005 789 20 be be VB A34005 789 21 the the DT A34005 789 22 side side NN A34005 789 23 sought seek VBN A34005 789 24 . . . A34005 790 1 Example example NN A34005 790 2 . . . A34005 791 1 So so RB A34005 791 2 in in IN A34005 791 3 the the DT A34005 791 4 former former JJ A34005 791 5 Triangle Triangle NNP A34005 791 6 , , , A34005 791 7 if if IN A34005 791 8 there there EX A34005 791 9 were be VBD A34005 791 10 given give VBN A34005 791 11 the the DT A34005 791 12 angle angle NN A34005 791 13 at at IN A34005 791 14 Z z NN A34005 791 15 the the DT A34005 791 16 Suns Suns NNPS A34005 791 17 Azimuth Azimuth NNP A34005 791 18 from from IN A34005 791 19 the the DT A34005 791 20 North North NNP A34005 791 21 63d 63d NNPS A34005 791 22 54′ 54′ NNP A34005 791 23 , , , A34005 791 24 and and CC A34005 791 25 the the DT A34005 791 26 Complement Complement NNP A34005 791 27 of of IN A34005 791 28 the the DT A34005 791 29 Suns Suns NNPS A34005 791 30 Declination Declination NNP A34005 791 31 ☉ ☉ NNP A34005 791 32 P p NN A34005 791 33 66d 66d CD A34005 791 34 29′ 29′ CD A34005 791 35 with with IN A34005 791 36 the the DT A34005 791 37 hour hour NN A34005 791 38 from from IN A34005 791 39 Noon Noon NNP A34005 791 40 Z Z NNP A34005 791 41 P P NNP A34005 791 42 ☉ ☉ VBZ A34005 791 43 to to TO A34005 791 44 find find VB A34005 791 45 the the DT A34005 791 46 Side side JJ A34005 791 47 Z Z NNP A34005 791 48 ☉ ☉ NNS A34005 791 49 the the DT A34005 791 50 Complement Complement NNP A34005 791 51 of of IN A34005 791 52 the the DT A34005 791 53 Suns Suns NNPS A34005 791 54 Altitude Altitude NNP A34005 791 55 , , , A34005 791 56 it -PRON- PRP A34005 791 57 would would MD A34005 791 58 be be VB A34005 791 59 found find VBN A34005 791 60 to to TO A34005 791 61 be be VB A34005 791 62 80d 80d NNS A34005 791 63 31′ 31′ CD A34005 791 64 , , , A34005 791 65 and and CC A34005 791 66 the the DT A34005 791 67 Altitude Altitude NNP A34005 791 68 it -PRON- PRP A34005 791 69 self self VBP A34005 791 70 9d 9d NN A34005 791 71 29′ 29′ CD A34005 791 72 . . . A34005 792 1 Sine Sine NNP A34005 792 2 66d 66d CD A34005 792 3 29′ 29′ CD A34005 792 4 — — : A34005 792 5 996234 996234 CD A34005 792 6 Sine Sine NNP A34005 792 7 105 105 CD A34005 792 8 that that WDT A34005 792 9 is be VBZ A34005 792 10 of of IN A34005 792 11 75d 75d CD A34005 792 12 is be VBZ A34005 792 13 — — : A34005 792 14 998497 998497 CD A34005 792 15 1994731 1994731 CD A34005 792 16 Sine Sine NNP A34005 792 17 63d 63d NNP A34005 792 18 54′ 54′ NNP A34005 792 19 is be VBZ A34005 792 20 — — : A34005 792 21 995329 995329 CD A34005 792 22 Sine Sine NNP A34005 792 23 80d 80d CD A34005 792 24 31′ 31′ CD A34005 792 25 — — : A34005 792 26 999402 999402 CD A34005 792 27 In in IN A34005 792 28 some some DT A34005 792 29 Cases case NNS A34005 792 30 the the DT A34005 792 31 Affection Affection NNP A34005 792 32 of of IN A34005 792 33 the the DT A34005 792 34 Side side NN A34005 792 35 sought seek VBD A34005 792 36 can can MD A34005 792 37 not not RB A34005 792 38 be be VB A34005 792 39 determined determine VBN A34005 792 40 from from IN A34005 792 41 what what WP A34005 792 42 is be VBZ A34005 792 43 given give VBN A34005 792 44 ; ; : A34005 792 45 Such such JJ A34005 792 46 Cases case NNS A34005 792 47 are be VBP A34005 792 48 , , , A34005 792 49 When when WRB A34005 792 50 the the DT A34005 792 51 given give VBN A34005 792 52 Angle angle NN A34005 792 53 is be VBZ A34005 792 54 Acute acute JJ A34005 792 55 , , , A34005 792 56 and and CC A34005 792 57 the the DT A34005 792 58 opposite opposite JJ A34005 792 59 Side side NN A34005 792 60 less less RBR A34005 792 61 then then RB A34005 792 62 a a DT A34005 792 63 Quadrant Quadrant NNP A34005 792 64 , , , A34005 792 65 and and CC A34005 792 66 the the DT A34005 792 67 other other JJ A34005 792 68 Angle Angle NNP A34005 792 69 greater great JJR A34005 792 70 then then RB A34005 792 71 the the DT A34005 792 72 former former JJ A34005 792 73 Angle Angle NNP A34005 792 74 , , , A34005 792 75 and and CC A34005 792 76 its -PRON- PRP$ A34005 792 77 Complement Complement NNP A34005 792 78 to to IN A34005 792 79 a a DT A34005 792 80 Semicircle Semicircle NNP A34005 792 81 also also RB A34005 792 82 greater great JJR A34005 792 83 then then RB A34005 792 84 the the DT A34005 792 85 said say VBD A34005 792 86 former former JJ A34005 792 87 Angle Angle NNP A34005 792 88 . . . A34005 793 1 Also also RB A34005 793 2 when when WRB A34005 793 3 the the DT A34005 793 4 given give VBN A34005 793 5 Angle angle NN A34005 793 6 is be VBZ A34005 793 7 Obtuse Obtuse NNP A34005 793 8 , , , A34005 793 9 and and CC A34005 793 10 the the DT A34005 793 11 opposite opposite JJ A34005 793 12 Side side NN A34005 793 13 greater great JJR A34005 793 14 then then RB A34005 793 15 a a DT A34005 793 16 Quadrant Quadrant NNP A34005 793 17 , , , A34005 793 18 the the DT A34005 793 19 other other JJ A34005 793 20 Angle Angle NNP A34005 793 21 being be VBG A34005 793 22 less less JJR A34005 793 23 then then RB A34005 793 24 this this DT A34005 793 25 Angle Angle NNP A34005 793 26 , , , A34005 793 27 and and CC A34005 793 28 its -PRON- PRP$ A34005 793 29 Complement Complement NNP A34005 793 30 to to IN A34005 793 31 a a DT A34005 793 32 Semicircle Semicircle NNP A34005 793 33 also also RB A34005 793 34 less less RBR A34005 793 35 then then RB A34005 793 36 this this DT A34005 793 37 Angle angle NN A34005 793 38 : : : A34005 793 39 What what WP A34005 793 40 Snellius Snellius NNP A34005 793 41 hath hath NNP A34005 793 42 spoke speak VBD A34005 793 43 concerning concern VBG A34005 793 44 these these DT A34005 793 45 doubts doubt NNS A34005 793 46 , , , A34005 793 47 is be VBZ A34005 793 48 in in IN A34005 793 49 some some DT A34005 793 50 Cases case NNS A34005 793 51 false false JJ A34005 793 52 , , , A34005 793 53 in in IN A34005 793 54 others other NNS A34005 793 55 impertinent impertinent JJ A34005 793 56 , , , A34005 793 57 however however RB A34005 793 58 I -PRON- PRP A34005 793 59 conceive conceive VBP A34005 793 60 not not RB A34005 793 61 that that IN A34005 793 62 Learned Learned NNP A34005 793 63 Author Author NNP A34005 793 64 mistakes mistake NNS A34005 793 65 , , , A34005 793 66 but but CC A34005 793 67 the the DT A34005 793 68 Supervisors Supervisors NNPS A34005 793 69 after after IN A34005 793 70 his -PRON- PRP$ A34005 793 71 death death NN A34005 793 72 . . . A34005 794 1 In in IN A34005 794 2 all all DT A34005 794 3 other other JJ A34005 794 4 Cases case NNS A34005 794 5 the the DT A34005 794 6 determination determination NN A34005 794 7 is be VBZ A34005 794 8 certain certain JJ A34005 794 9 , , , A34005 794 10 as as IN A34005 794 11 may may MD A34005 794 12 be be VB A34005 794 13 hereafafter hereafafter NN A34005 794 14 shewed shew VBN A34005 794 15 . . . A34005 795 1 5 5 CD A34005 795 2 . . . A34005 796 1 Two two CD A34005 796 2 sides side NNS A34005 796 3 with with IN A34005 796 4 an an DT A34005 796 5 Angle Angle NNP A34005 796 6 opposite opposite NN A34005 796 7 to to IN A34005 796 8 one one CD A34005 796 9 of of IN A34005 796 10 them -PRON- PRP A34005 796 11 being be VBG A34005 796 12 given give VBN A34005 796 13 , , , A34005 796 14 To to TO A34005 796 15 find find VB A34005 796 16 the the DT A34005 796 17 third third JJ A34005 796 18 side side NN A34005 796 19 , , , A34005 796 20 the the DT A34005 796 21 kind kind NN A34005 796 22 of of IN A34005 796 23 the the DT A34005 796 24 angle angle NN A34005 796 25 opposite opposite IN A34005 796 26 to to IN A34005 796 27 the the DT A34005 796 28 other other JJ A34005 796 29 side side NN A34005 796 30 being be VBG A34005 796 31 foreknown foreknow VBN A34005 796 32 . . . A34005 797 1 First first RB A34005 797 2 find find VB A34005 797 3 the the DT A34005 797 4 Angle Angle NNP A34005 797 5 opposite opposite IN A34005 797 6 to to IN A34005 797 7 the the DT A34005 797 8 other other JJ A34005 797 9 side side NN A34005 797 10 by by IN A34005 797 11 3d 3d NNP A34005 797 12 Case Case NNP A34005 797 13 , , , A34005 797 14 and and CC A34005 797 15 then then RB A34005 797 16 you -PRON- PRP A34005 797 17 have have VBP A34005 797 18 two two CD A34005 797 19 Sides side NNS A34005 797 20 and and CC A34005 797 21 their -PRON- PRP$ A34005 797 22 opposite opposite JJ A34005 797 23 Angles angle NNS A34005 797 24 . . . A34005 798 1 To to TO A34005 798 2 find find VB A34005 798 3 the the DT A34005 798 4 third third JJ A34005 798 5 side side NN A34005 798 6 by by IN A34005 798 7 the the DT A34005 798 8 Inverse Inverse NNP A34005 798 9 of of IN A34005 798 10 either either DT A34005 798 11 of of IN A34005 798 12 the the DT A34005 798 13 Proportions Proportions NNPS A34005 798 14 used use VBN A34005 798 15 in in IN A34005 798 16 the the DT A34005 798 17 2d 2d NNP A34005 798 18 Case Case NNP A34005 798 19 , , , A34005 798 20 the the DT A34005 798 21 former former JJ A34005 798 22 will will MD A34005 798 23 be be VB A34005 798 24 , , , A34005 798 25 As as IN A34005 798 26 the the DT A34005 798 27 Sine Sine NNP A34005 798 28 of of IN A34005 798 29 half half PDT A34005 798 30 the the DT A34005 798 31 difference difference NN A34005 798 32 of of IN A34005 798 33 the the DT A34005 798 34 angles angle NNS A34005 798 35 given give VBN A34005 798 36 , , , A34005 798 37 To to IN A34005 798 38 tangent tangent NN A34005 798 39 of of IN A34005 798 40 half half PDT A34005 798 41 the the DT A34005 798 42 difference difference NN A34005 798 43 of of IN A34005 798 44 the the DT A34005 798 45 sides side NNS A34005 798 46 given give VBN A34005 798 47 : : : A34005 798 48 So so RB A34005 798 49 is be VBZ A34005 798 50 the the DT A34005 798 51 sine sine NN A34005 798 52 of of IN A34005 798 53 half half PDT A34005 798 54 the the DT A34005 798 55 sum sum NN A34005 798 56 of of IN A34005 798 57 those those DT A34005 798 58 angles angle NNS A34005 798 59 , , , A34005 798 60 To to IN A34005 798 61 the the DT A34005 798 62 tangent tangent NN A34005 798 63 of of IN A34005 798 64 half half PDT A34005 798 65 the the DT A34005 798 66 side side NN A34005 798 67 required require VBN A34005 798 68 . . . A34005 799 1 In in IN A34005 799 2 the the DT A34005 799 3 latter latter JJ A34005 799 4 Case case NN A34005 799 5 , , , A34005 799 6 if if IN A34005 799 7 the the DT A34005 799 8 sum sum NN A34005 799 9 of of IN A34005 799 10 the the DT A34005 799 11 given give VBN A34005 799 12 Angles angle NNS A34005 799 13 exceed exceed VBP A34005 799 14 a a DT A34005 799 15 Semicircle Semicircle NNP A34005 799 16 , , , A34005 799 17 the the DT A34005 799 18 opposite opposite JJ A34005 799 19 Triangle Triangle NNP A34005 799 20 must must MD A34005 799 21 be be VB A34005 799 22 resolved resolve VBN A34005 799 23 . . . A34005 800 1 Example example NN A34005 800 2 . . . A34005 801 1 If if IN A34005 801 2 in in IN A34005 801 3 the the DT A34005 801 4 former former JJ A34005 801 5 Triangle Triangle NNP A34005 801 6 there there EX A34005 801 7 were be VBD A34005 801 8 given give VBN A34005 801 9 the the DT A34005 801 10 side side NN A34005 801 11 ☉ ☉ NNS A34005 801 12 P p NN A34005 801 13 , , , A34005 801 14 the the DT A34005 801 15 Complement Complement NNP A34005 801 16 of of IN A34005 801 17 the the DT A34005 801 18 Declination Declination NNP A34005 801 19 66d 66d CD A34005 801 20 29′ 29′ CD A34005 801 21 and and CC A34005 801 22 angle angle NN A34005 801 23 ☉ ☉ NNPS A34005 801 24 Z Z NNP A34005 801 25 P P NNP A34005 801 26 , , , A34005 801 27 the the DT A34005 801 28 Azimuth Azimuth NNP A34005 801 29 from from IN A34005 801 30 the the DT A34005 801 31 North North NNP A34005 801 32 63d 63d CD A34005 801 33 54′ 54′ NNP A34005 801 34 with with IN A34005 801 35 the the DT A34005 801 36 side side NN A34005 801 37 Z z NN A34005 801 38 P p NN A34005 801 39 , , , A34005 801 40 the the DT A34005 801 41 Complement Complement NNP A34005 801 42 of of IN A34005 801 43 the the DT A34005 801 44 Latitude Latitude NNP A34005 801 45 38d 38d CD A34005 801 46 28′ 28′ CD A34005 801 47 , , , A34005 801 48 to to TO A34005 801 49 find find VB A34005 801 50 the the DT A34005 801 51 side side NN A34005 801 52 ☉ ☉ NNPS A34005 801 53 Z z NN A34005 801 54 , , , A34005 801 55 the the DT A34005 801 56 Complement Complement NNP A34005 801 57 of of IN A34005 801 58 the the DT A34005 801 59 Suns Suns NNPS A34005 801 60 Altitude Altitude NNP A34005 801 61 on on IN A34005 801 62 the the DT A34005 801 63 Proposed propose VBN A34005 801 64 Azimuth Azimuth NNP A34005 801 65 : : : A34005 801 66 The the DT A34005 801 67 first first JJ A34005 801 68 Operation operation NN A34005 801 69 will will MD A34005 801 70 be be VB A34005 801 71 to to TO A34005 801 72 find find VB A34005 801 73 the the DT A34005 801 74 Suns Suns NNPS A34005 801 75 angle angle NN A34005 801 76 of of IN A34005 801 77 Position position NN A34005 801 78 Z Z NNP A34005 801 79 ☉ ☉ NNP A34005 801 80 P P NNP A34005 801 81 37d 37d NNPS A34005 801 82 32′ 32′ CD A34005 801 83 , , , A34005 801 84 which which WDT A34005 801 85 is be VBZ A34005 801 86 always always RB A34005 801 87 Acute acute JJ A34005 801 88 when when WRB A34005 801 89 the the DT A34005 801 90 Sun Sun NNP A34005 801 91 or or CC A34005 801 92 Stars Stars NNP A34005 801 93 do do VBP A34005 801 94 not not RB A34005 801 95 come come VB A34005 801 96 to to IN A34005 801 97 the the DT A34005 801 98 Meridian Meridian NNP A34005 801 99 between between IN A34005 801 100 the the DT A34005 801 101 Zenith Zenith NNP A34005 801 102 and and CC A34005 801 103 the the DT A34005 801 104 elevated elevated JJ A34005 801 105 Pole Pole NNP A34005 801 106 . . . A34005 802 1 The the DT A34005 802 2 said said JJ A34005 802 3 angle angle NN A34005 802 4 being be VBG A34005 802 5 found find VBN A34005 802 6 by by IN A34005 802 7 the the DT A34005 802 8 former former JJ A34005 802 9 Directions Directions NNPS A34005 802 10 , , , A34005 802 11 we -PRON- PRP A34005 802 12 proceed proceed VBP A34005 802 13 to to IN A34005 802 14 the the DT A34005 802 15 second second JJ A34005 802 16 Operation operation NN A34005 802 17 . . . A34005 803 1 Sides side NNS A34005 803 2 66 66 CD A34005 803 3 29 29 CD A34005 803 4 difference difference NN A34005 803 5 28d 28d NNS A34005 803 6 1′ 1′ CD A34005 803 7 half half JJ A34005 803 8 14d 14d NNS A34005 803 9 00′ 00′ CD A34005 803 10 30′ 30′ CD A34005 803 11 Tang Tang NNP A34005 803 12 — — : A34005 803 13 939705 939705 CD A34005 803 14 Sides side NNS A34005 803 15 38 38 CD A34005 803 16 28 28 CD A34005 803 17 difference difference NN A34005 803 18 28d 28d NNS A34005 803 19 1′ 1′ CD A34005 803 20 half half JJ A34005 803 21 14d 14d NNS A34005 803 22 00′ 00′ CD A34005 803 23 30′ 30′ CD A34005 803 24 Tang Tang NNP A34005 803 25 — — : A34005 803 26 939705 939705 CD A34005 803 27 Angles Angles NNP A34005 803 28 63 63 CD A34005 803 29 54 54 CD A34005 803 30 Sum Sum NNP A34005 803 31 101d 101d CD A34005 803 32 26 26 CD A34005 803 33 , , , A34005 803 34 half half NN A34005 803 35 50d 50d NNS A34005 803 36 43 43 CD A34005 803 37 Sine Sine NNP A34005 803 38 — — : A34005 803 39 988875 988875 CD A34005 803 40 Angles Angles NNP A34005 803 41 37 37 CD A34005 803 42 32 32 CD A34005 803 43 Sum Sum NNP A34005 803 44 101d 101d CD A34005 803 45 26 26 CD A34005 803 46 , , , A34005 803 47 half half NN A34005 803 48 50d 50d NNS A34005 803 49 43 43 CD A34005 803 50 Sine Sine NNP A34005 803 51 — — : A34005 803 52 988875 988875 CD A34005 803 53 1928580 1928580 CD A34005 803 54 26 26 CD A34005 803 55 22 22 CD A34005 803 56 difference difference NN A34005 803 57 , , , A34005 803 58 half half NN A34005 803 59 13d 13d CD A34005 803 60 11′ 11′ CD A34005 803 61 Sine sine JJ A34005 803 62 — — : A34005 803 63 935806 935806 CD A34005 803 64 Tangent Tangent NNP A34005 803 65 of of IN A34005 803 66 40d 40d CD A34005 803 67 15′ 15′ CD A34005 803 68 30″ 30″ CD A34005 803 69 — — : A34005 803 70 992774 992774 CD A34005 803 71 doubled double VBD A34005 803 72 is be VBZ A34005 803 73 80d 80d CD A34005 803 74 31′ 31′ CD A34005 803 75 the the DT A34005 803 76 side side NN A34005 803 77 sought seek VBD A34005 803 78 being be VBG A34005 803 79 the the DT A34005 803 80 Complement Complement NNP A34005 803 81 of of IN A34005 803 82 the the DT A34005 803 83 Suns Suns NNPS A34005 803 84 Altitude Altitude NNP A34005 803 85 . . . A34005 804 1 6 6 CD A34005 804 2 . . . A34005 805 1 Two two CD A34005 805 2 sides side NNS A34005 805 3 with with IN A34005 805 4 an an DT A34005 805 5 angle angle NN A34005 805 6 opposite opposite NN A34005 805 7 to to IN A34005 805 8 one one CD A34005 805 9 of of IN A34005 805 10 them -PRON- PRP A34005 805 11 being be VBG A34005 805 12 given give VBN A34005 805 13 , , , A34005 805 14 To to TO A34005 805 15 find find VB A34005 805 16 the the DT A34005 805 17 angle angle NN A34005 805 18 included include VBN A34005 805 19 , , , A34005 805 20 or or CC A34005 805 21 between between IN A34005 805 22 them -PRON- PRP A34005 805 23 , , , A34005 805 24 the the DT A34005 805 25 species specie NNS A34005 805 26 of of IN A34005 805 27 the the DT A34005 805 28 opposite opposite NN A34005 805 29 to to IN A34005 805 30 the the DT A34005 805 31 other other JJ A34005 805 32 side side NN A34005 805 33 being be VBG A34005 805 34 foreknown foreknow VBN A34005 805 35 . . . A34005 806 1 First first RB A34005 806 2 find find VB A34005 806 3 the the DT A34005 806 4 angle angle NN A34005 806 5 Opposite opposite RB A34005 806 6 to to IN A34005 806 7 the the DT A34005 806 8 other other JJ A34005 806 9 side side NN A34005 806 10 by by IN A34005 806 11 3d 3d NNP A34005 806 12 Case Case NNP A34005 806 13 , , , A34005 806 14 and and CC A34005 806 15 then then RB A34005 806 16 we -PRON- PRP A34005 806 17 have have VBP A34005 806 18 two two CD A34005 806 19 angles angle NNS A34005 806 20 and and CC A34005 806 21 their -PRON- PRP$ A34005 806 22 opposite opposite JJ A34005 806 23 sides side NNS A34005 806 24 to to TO A34005 806 25 find find VB A34005 806 26 the the DT A34005 806 27 other other JJ A34005 806 28 angle angle NN A34005 806 29 , , , A34005 806 30 by by IN A34005 806 31 the the DT A34005 806 32 Inverse Inverse NNP A34005 806 33 of of IN A34005 806 34 either either DT A34005 806 35 of of IN A34005 806 36 the the DT A34005 806 37 Proportions Proportions NNPS A34005 806 38 used use VBN A34005 806 39 in in IN A34005 806 40 the the DT A34005 806 41 first first JJ A34005 806 42 Case Case NNP A34005 806 43 , , , A34005 806 44 the the DT A34005 806 45 former former JJ A34005 806 46 will will MD A34005 806 47 be be VB A34005 806 48 , , , A34005 806 49 As as IN A34005 806 50 the the DT A34005 806 51 sine sine NN A34005 806 52 of of IN A34005 806 53 halfe halfe NN A34005 806 54 the the DT A34005 806 55 difference difference NN A34005 806 56 of of IN A34005 806 57 the the DT A34005 806 58 sides side NNS A34005 806 59 , , , A34005 806 60 To to IN A34005 806 61 the the DT A34005 806 62 Tangent tangent NN A34005 806 63 of of IN A34005 806 64 halfe halfe NN A34005 806 65 the the DT A34005 806 66 difference difference NN A34005 806 67 of of IN A34005 806 68 the the DT A34005 806 69 angles angle NNS A34005 806 70 : : : A34005 806 71 So so RB A34005 806 72 is be VBZ A34005 806 73 the the DT A34005 806 74 sine sine NN A34005 806 75 of of IN A34005 806 76 halfe halfe NN A34005 806 77 the the DT A34005 806 78 sum sum NN A34005 806 79 of of IN A34005 806 80 the the DT A34005 806 81 sides side NNS A34005 806 82 . . . A34005 807 1 To to IN A34005 807 2 the the DT A34005 807 3 Cotangent Cotangent NNP A34005 807 4 of of IN A34005 807 5 half half PDT A34005 807 6 the the DT A34005 807 7 angle angle NN A34005 807 8 required require VBN A34005 807 9 ; ; : A34005 807 10 That that RB A34005 807 11 is is RB A34005 807 12 , , , A34005 807 13 to to IN A34005 807 14 the the DT A34005 807 15 Tangent Tangent NNP A34005 807 16 of of IN A34005 807 17 an an DT A34005 807 18 Ark Ark NNP A34005 807 19 , , , A34005 807 20 whose whose WP$ A34005 807 21 Complement Complement NNP A34005 807 22 is be VBZ A34005 807 23 half half PDT A34005 807 24 the the DT A34005 807 25 angle angle NN A34005 807 26 inquired inquire VBD A34005 807 27 . . . A34005 808 1 If if IN A34005 808 2 the the DT A34005 808 3 sum sum NN A34005 808 4 of of IN A34005 808 5 the the DT A34005 808 6 given give VBN A34005 808 7 sides side NNS A34005 808 8 be be VBP A34005 808 9 more more JJR A34005 808 10 then then IN A34005 808 11 a a DT A34005 808 12 Semicircle Semicircle NNP A34005 808 13 , , , A34005 808 14 in in IN A34005 808 15 the the DT A34005 808 16 resolution resolution NN A34005 808 17 of of IN A34005 808 18 this this DT A34005 808 19 latter latter JJ A34005 808 20 Case case NN A34005 808 21 resolve resolve VB A34005 808 22 the the DT A34005 808 23 Opposite Opposite NNP A34005 808 24 Triangle Triangle NNP A34005 808 25 . . . A34005 809 1 Example example NN A34005 809 2 . . . A34005 810 1 In in IN A34005 810 2 the the DT A34005 810 3 former former JJ A34005 810 4 Triangle Triangle NNP A34005 810 5 given give VBN A34005 810 6 ☉ ☉ NNS A34005 810 7 P P NNP A34005 810 8 Comple comple NN A34005 810 9 : : : A34005 810 10 Declination declination NN A34005 810 11 66d 66d CD A34005 810 12 29′ 29′ CD A34005 810 13 Z z NN A34005 810 14 P p NN A34005 810 15 Comple comple NN A34005 810 16 : : : A34005 810 17 Latitude latitude NN A34005 810 18 — — : A34005 810 19 38 38 CD A34005 810 20 28 28 CD A34005 810 21 Angle angle NN A34005 810 22 ☉ ☉ NNPS A34005 810 23 Z Z NNP A34005 810 24 P P NNP A34005 810 25 the the DT A34005 810 26 Azimuth azimuth NN A34005 810 27 — — : A34005 810 28 63 63 CD A34005 810 29 54 54 CD A34005 810 30 To to TO A34005 810 31 find find VB A34005 810 32 the the DT A34005 810 33 hour hour NN A34005 810 34 Z Z NNP A34005 810 35 P P NNP A34005 810 36 ☉ ☉ NNS A34005 810 37 — — : A34005 810 38 105 105 CD A34005 810 39 The the DT A34005 810 40 first first JJ A34005 810 41 operation operation NN A34005 810 42 wil wil NN A34005 810 43 find find VB A34005 810 44 the the DT A34005 810 45 angle angle NN A34005 810 46 of of IN A34005 810 47 Position position NN A34005 810 48 as as IN A34005 810 49 before before IN A34005 810 50 37 37 CD A34005 810 51 d d NNS A34005 810 52 32′ 32′ CD A34005 810 53 The the DT A34005 810 54 second second JJ A34005 810 55 Operation operation NN A34005 810 56 . . . A34005 811 1 half half JJ A34005 811 2 difference difference NN A34005 811 3 of of IN A34005 811 4 the the DT A34005 811 5 given give VBN A34005 811 6 angles angle NNS A34005 811 7 13 13 CD A34005 811 8 d d SYM A34005 811 9 11 11 CD A34005 811 10 m m NNP A34005 811 11 Tangent Tangent NNP A34005 811 12 — — : A34005 811 13 936966 936966 CD A34005 811 14 half half NN A34005 811 15 sum sum NN A34005 811 16 of of IN A34005 811 17 the the DT A34005 811 18 side side NN A34005 811 19 — — : A34005 811 20 52 52 CD A34005 811 21 , , , A34005 811 22 28′ 28′ CD A34005 811 23 , , , A34005 811 24 30″ 30″ NNP A34005 811 25 Sine Sine NNP A34005 811 26 — — : A34005 811 27 989931 989931 CD A34005 811 28 1926897 1926897 CD A34005 811 29 half half NN A34005 811 30 difference difference NN A34005 811 31 of of IN A34005 811 32 the the DT A34005 811 33 sides side NNS A34005 811 34 14 14 CD A34005 811 35 d d NN A34005 811 36 00′ 00′ CD A34005 811 37 30″ 30″ NN A34005 811 38 Sine Sine NNP A34005 811 39 — — : A34005 811 40 938393 938393 CD A34005 811 41 Tangent Tangent NNP A34005 811 42 37 37 CD A34005 811 43 d d CD A34005 811 44 30′ 30′ CD A34005 811 45 — — : A34005 811 46 988504 988504 CD A34005 811 47 Comple Comple NNP A34005 811 48 : : : A34005 811 49 is be VBZ A34005 811 50 52 52 CD A34005 811 51 30 30 CD A34005 811 52 doubled double VBD A34005 811 53 makes make VBZ A34005 811 54 105 105 CD A34005 811 55 d d NN A34005 811 56 , , , A34005 811 57 the the DT A34005 811 58 Angle Angle NNP A34005 811 59 sought seek VBD A34005 811 60 . . . A34005 812 1 7 7 LS A34005 812 2 . . . A34005 813 1 Two two CD A34005 813 2 Angles angle NNS A34005 813 3 with with IN A34005 813 4 a a DT A34005 813 5 side side NN A34005 813 6 opposite opposite RB A34005 813 7 to to IN A34005 813 8 one one CD A34005 813 9 of of IN A34005 813 10 them -PRON- PRP A34005 813 11 being be VBG A34005 813 12 given give VBN A34005 813 13 . . . A34005 814 1 To to TO A34005 814 2 find find VB A34005 814 3 the the DT A34005 814 4 third third JJ A34005 814 5 Angle Angle NNP A34005 814 6 , , , A34005 814 7 the the DT A34005 814 8 kind kind NN A34005 814 9 of of IN A34005 814 10 the the DT A34005 814 11 side side NN A34005 814 12 opposite opposite RB A34005 814 13 to to IN A34005 814 14 the the DT A34005 814 15 other other JJ A34005 814 16 Angle Angle NNP A34005 814 17 being be VBG A34005 814 18 foreknown foreknow VBN A34005 814 19 . . . A34005 815 1 First first RB A34005 815 2 find find VB A34005 815 3 the the DT A34005 815 4 side side NN A34005 815 5 opposite opposite RB A34005 815 6 to to IN A34005 815 7 the the DT A34005 815 8 other other JJ A34005 815 9 Angle Angle NNP A34005 815 10 by by IN A34005 815 11 4th 4th JJ A34005 815 12 Case case NN A34005 815 13 , , , A34005 815 14 And and CC A34005 815 15 then then RB A34005 815 16 we -PRON- PRP A34005 815 17 have have VBP A34005 815 18 two two CD A34005 815 19 angles angle NNS A34005 815 20 , , , A34005 815 21 and and CC A34005 815 22 their -PRON- PRP$ A34005 815 23 opposite opposite JJ A34005 815 24 sides side NNS A34005 815 25 to to TO A34005 815 26 find find VB A34005 815 27 the the DT A34005 815 28 third third JJ A34005 815 29 angle angle NN A34005 815 30 ; ; : A34005 815 31 by by IN A34005 815 32 transposing transpose VBG A34005 815 33 the the DT A34005 815 34 order order NN A34005 815 35 of of IN A34005 815 36 either either DT A34005 815 37 of of IN A34005 815 38 the the DT A34005 815 39 Proportions Proportions NNPS A34005 815 40 used use VBN A34005 815 41 in in IN A34005 815 42 the the DT A34005 815 43 first first JJ A34005 815 44 Case Case NNP A34005 815 45 , , , A34005 815 46 the the DT A34005 815 47 latter latter NN A34005 815 48 will will MD A34005 815 49 be be VB A34005 815 50 , , , A34005 815 51 As as IN A34005 815 52 the the DT A34005 815 53 Cosine Cosine NNP A34005 815 54 of of IN A34005 815 55 halfe halfe NN A34005 815 56 the the DT A34005 815 57 difference difference NN A34005 815 58 of of IN A34005 815 59 the the DT A34005 815 60 sides side NNS A34005 815 61 , , , A34005 815 62 To to IN A34005 815 63 the the DT A34005 815 64 Tangent tangent NN A34005 815 65 of of IN A34005 815 66 halfe halfe NN A34005 815 67 the the DT A34005 815 68 sum sum NN A34005 815 69 of of IN A34005 815 70 the the DT A34005 815 71 angles angle NNS A34005 815 72 : : : A34005 815 73 So so CC A34005 815 74 the the DT A34005 815 75 Cosine Cosine NNP A34005 815 76 of of IN A34005 815 77 halfe halfe NN A34005 815 78 the the DT A34005 815 79 sum sum NN A34005 815 80 of of IN A34005 815 81 the the DT A34005 815 82 sides side NNS A34005 815 83 , , , A34005 815 84 To to IN A34005 815 85 the the DT A34005 815 86 Cotangent Cotangent NNP A34005 815 87 of of IN A34005 815 88 half half PDT A34005 815 89 the the DT A34005 815 90 contained contained JJ A34005 815 91 angle angle NN A34005 815 92 . . . A34005 816 1 Example example NN A34005 816 2 . . . A34005 817 1 In in IN A34005 817 2 the the DT A34005 817 3 Triangle Triangle NNP A34005 817 4 Z Z NNP A34005 817 5 ☉ ☉ NNP A34005 817 6 P P NNP A34005 817 7 Data Data NNP A34005 817 8 angle angle NN A34005 817 9 ☉ ☉ NNPS A34005 817 10 — — : A34005 817 11 37 37 CD A34005 817 12 d d CD A34005 817 13 32′ 32′ CD A34005 817 14 Angle Angle NNP A34005 817 15 P P NNP A34005 817 16 — — : A34005 817 17 105 105 CD A34005 817 18 00 00 CD A34005 817 19 Side side NN A34005 817 20 ☉ ☉ NNPS A34005 817 21 Z Z NNP A34005 817 22 — — : A34005 817 23 80 80 CD A34005 817 24 31 31 CD A34005 817 25 To to TO A34005 817 26 find find VB A34005 817 27 the the DT A34005 817 28 angle angle NN A34005 817 29 Z z NN A34005 817 30 — — : A34005 817 31 63 63 CD A34005 817 32 54 54 CD A34005 817 33 The the DT A34005 817 34 first first JJ A34005 817 35 Operation operation NN A34005 817 36 will will MD A34005 817 37 find find VB A34005 817 38 Z z NN A34005 817 39 P p NN A34005 817 40 — — : A34005 817 41 38 38 CD A34005 817 42 28 28 CD A34005 817 43 The the DT A34005 817 44 second second JJ A34005 817 45 Operation operation NN A34005 817 46 . . . A34005 818 1 half half JJ A34005 818 2 sum sum NN A34005 818 3 of of IN A34005 818 4 the the DT A34005 818 5 angles angle NNS A34005 818 6 — — : A34005 818 7 71 71 CD A34005 818 8 d d NN A34005 818 9 16′ 16′ CD A34005 818 10 Tangent tangent NN A34005 818 11 — — : A34005 818 12 1046963 1046963 CD A34005 818 13 half half NN A34005 818 14 sum sum NN A34005 818 15 of of IN A34005 818 16 the the DT A34005 818 17 sides side NNS A34005 818 18 — — : A34005 818 19 59 59 CD A34005 818 20 d d NN A34005 818 21 29′ 29′ CD A34005 818 22 30″ 30″ CD A34005 818 23 Sine Sine NNP A34005 818 24 Compl Compl NNP A34005 818 25 : : : A34005 818 26 — — : A34005 818 27 970558 970558 CD A34005 818 28 2017521 2017521 CD A34005 818 29 half half NN A34005 818 30 difference difference NN A34005 818 31 of of IN A34005 818 32 the the DT A34005 818 33 sides side NNS A34005 818 34 21 21 CD A34005 818 35 d d NN A34005 818 36 1′ 1′ CD A34005 818 37 30″ 30″ NNP A34005 818 38 Cosine Cosine NNP A34005 818 39 — — : A34005 818 40 997007 997007 CD A34005 818 41 Tangent Tangent NNP A34005 818 42 58d 58d NNPS A34005 818 43 3′ 3′ CD A34005 818 44 — — : A34005 818 45 1020514 1020514 CD A34005 818 46 Compl Compl NNP A34005 818 47 : : : A34005 818 48 31d 31d NNS A34005 818 49 57′ 57′ CD A34005 818 50 doubled double VBD A34005 818 51 is be VBZ A34005 818 52 63 63 CD A34005 818 53 ● ● CD A34005 818 54 54′ 54′ CD A34005 818 55 the the DT A34005 818 56 angle angle NN A34005 818 57 sought seek VBD A34005 818 58 . . . A34005 819 1 8 8 LS A34005 819 2 . . . A34005 820 1 Two two CD A34005 820 2 angles angle NNS A34005 820 3 with with IN A34005 820 4 a a DT A34005 820 5 side side NN A34005 820 6 Opposite opposite JJ A34005 820 7 to to IN A34005 820 8 one one CD A34005 820 9 of of IN A34005 820 10 them -PRON- PRP A34005 820 11 being be VBG A34005 820 12 given give VBN A34005 820 13 , , , A34005 820 14 To to TO A34005 820 15 find find VB A34005 820 16 the the DT A34005 820 17 Interjacent interjacent JJ A34005 820 18 side side NN A34005 820 19 , , , A34005 820 20 the the DT A34005 820 21 kind kind NN A34005 820 22 of of IN A34005 820 23 the the DT A34005 820 24 side side NN A34005 820 25 opposite opposite RB A34005 820 26 to to IN A34005 820 27 the the DT A34005 820 28 other other JJ A34005 820 29 angle angle NN A34005 820 30 being be VBG A34005 820 31 fore fore RB A34005 820 32 known know VBN A34005 820 33 . . . A34005 821 1 First first RB A34005 821 2 find find VB A34005 821 3 the the DT A34005 821 4 side side NN A34005 821 5 opposite opposite RB A34005 821 6 to to IN A34005 821 7 the the DT A34005 821 8 other other JJ A34005 821 9 angle angle NN A34005 821 10 by by IN A34005 821 11 4 4 CD A34005 821 12 Case Case NNP A34005 821 13 , , , A34005 821 14 And and CC A34005 821 15 then then RB A34005 821 16 you -PRON- PRP A34005 821 17 have have VBP A34005 821 18 two two CD A34005 821 19 sides side NNS A34005 821 20 , , , A34005 821 21 and and CC A34005 821 22 their -PRON- PRP$ A34005 821 23 opposite opposite JJ A34005 821 24 angle angle NN A34005 821 25 given give VBN A34005 821 26 to to TO A34005 821 27 find find VB A34005 821 28 the the DT A34005 821 29 3 3 CD A34005 821 30 side side NN A34005 821 31 by by IN A34005 821 32 , , , A34005 821 33 tranposing tranpose VBG A34005 821 34 the the DT A34005 821 35 Order order NN A34005 821 36 of of IN A34005 821 37 either either DT A34005 821 38 of of IN A34005 821 39 the the DT A34005 821 40 Proportions Proportions NNPS A34005 821 41 used use VBN A34005 821 42 in in IN A34005 821 43 the the DT A34005 821 44 2d 2d NNP A34005 821 45 Case Case NNP A34005 821 46 , , , A34005 821 47 the the DT A34005 821 48 latter latter NN A34005 821 49 will will MD A34005 821 50 be be VB A34005 821 51 , , , A34005 821 52 As as IN A34005 821 53 the the DT A34005 821 54 Cosine Cosine NNP A34005 821 55 of of IN A34005 821 56 halfe halfe NN A34005 821 57 the the DT A34005 821 58 difference difference NN A34005 821 59 of of IN A34005 821 60 the the DT A34005 821 61 two two CD A34005 821 62 angles angle NNS A34005 821 63 , , , A34005 821 64 To to IN A34005 821 65 the the DT A34005 821 66 tangent tangent NN A34005 821 67 of of IN A34005 821 68 halfe halfe NN A34005 821 69 the the DT A34005 821 70 sum sum NN A34005 821 71 of of IN A34005 821 72 the the DT A34005 821 73 two two CD A34005 821 74 sides side NNS A34005 821 75 : : : A34005 821 76 So so IN A34005 821 77 the the DT A34005 821 78 Cosine Cosine NNP A34005 821 79 of of IN A34005 821 80 halfe halfe NN A34005 821 81 the the DT A34005 821 82 sum sum NN A34005 821 83 of of IN A34005 821 84 the the DT A34005 821 85 two two CD A34005 821 86 given give VBN A34005 821 87 angles angle NNS A34005 821 88 , , , A34005 821 89 To to IN A34005 821 90 the the DT A34005 821 91 Tangent tangent NN A34005 821 92 of of IN A34005 821 93 halfe halfe NN A34005 821 94 the the DT A34005 821 95 third third JJ A34005 821 96 side side NN A34005 821 97 . . . A34005 822 1 Example example NN A34005 822 2 . . . A34005 823 1 In in IN A34005 823 2 the the DT A34005 823 3 former former JJ A34005 823 4 Triangle Triangle NNP A34005 823 5 given give VBN A34005 823 6 the the DT A34005 823 7 Hour Hour NNP A34005 823 8 angle angle NN A34005 823 9 at at IN A34005 823 10 P p NN A34005 823 11 105d 105d NNS A34005 823 12 00 00 SYM A34005 823 13 Azimuth Azimuth NNP A34005 823 14 angle angle NN A34005 823 15 at at IN A34005 823 16 Z Z NNP A34005 823 17 63 63 CD A34005 823 18 54 54 CD A34005 823 19 Compl Compl NNP A34005 823 20 Altitude Altitude NNP A34005 823 21 Side Side NNP A34005 823 22 Z Z NNP A34005 823 23 ☉ ☉ NNP A34005 823 24 80 80 CD A34005 823 25 31 31 CD A34005 823 26 To to TO A34005 823 27 find find VB A34005 823 28 the the DT A34005 823 29 Compl Compl NNP A34005 823 30 . . . A34005 824 1 of of IN A34005 824 2 the the DT A34005 824 3 Latitude Latitude NNP A34005 824 4 the the DT A34005 824 5 side side NN A34005 824 6 Z z NN A34005 824 7 P p NN A34005 824 8 38 38 CD A34005 824 9 28 28 CD A34005 824 10 The the DT A34005 824 11 first first JJ A34005 824 12 Operation operation NN A34005 824 13 will will MD A34005 824 14 find find VB A34005 824 15 the the DT A34005 824 16 side side NN A34005 824 17 P p NN A34005 824 18 ☉ ☉ NNP A34005 824 19 66 66 CD A34005 824 20 ● ● SYM A34005 824 21 29′ 29′ CD A34005 824 22 Second Second NNP A34005 824 23 Operation Operation NNP A34005 824 24 . . . A34005 825 1 half half PDT A34005 825 2 the the DT A34005 825 3 sum sum NN A34005 825 4 of of IN A34005 825 5 the the DT A34005 825 6 two two CD A34005 825 7 sides side NNS A34005 825 8 73d 73d CD A34005 825 9 30′ 30′ CD A34005 825 10 Tangent tangent NN A34005 825 11 1052839 1052839 CD A34005 825 12 half half PDT A34005 825 13 the the DT A34005 825 14 sum sum NN A34005 825 15 of of IN A34005 825 16 the the DT A34005 825 17 two two CD A34005 825 18 angles angle NNS A34005 825 19 84 84 CD A34005 825 20 27 27 CD A34005 825 21 Cosine Cosine NNP A34005 825 22 898549 898549 CD A34005 825 23 1951388 1951388 CD A34005 825 24 half half PDT A34005 825 25 the the DT A34005 825 26 difference difference NN A34005 825 27 of of IN A34005 825 28 the the DT A34005 825 29 two two CD A34005 825 30 angles angle NNS A34005 825 31 20d 20d CD A34005 825 32 33′ 33′ CD A34005 825 33 Cosine Cosine NNP A34005 825 34 997144 997144 CD A34005 825 35 Tangent Tangent NNP A34005 825 36 of of IN A34005 825 37 19d 19d CD A34005 825 38 14′ 14′ CD A34005 825 39 — — : A34005 825 40 954244 954244 CD A34005 825 41 Doubled double VBD A34005 825 42 is be VBZ A34005 825 43 38 38 CD A34005 825 44 28 28 CD A34005 825 45 the the DT A34005 825 46 side side NN A34005 825 47 sought seek VBD A34005 825 48 These these DT A34005 825 49 6 6 CD A34005 825 50 last last JJ A34005 825 51 precedent precedent NN A34005 825 52 Cases case NNS A34005 825 53 may may MD A34005 825 54 be be VB A34005 825 55 called call VBN A34005 825 56 the the DT A34005 825 57 Doubtful Doubtful NNP A34005 825 58 Cases Cases NNPS A34005 825 59 , , , A34005 825 60 because because IN A34005 825 61 that that IN A34005 825 62 three three CD A34005 825 63 given give VBN A34005 825 64 terms term NNS A34005 825 65 are be VBP A34005 825 66 not not RB A34005 825 67 sufficient sufficient JJ A34005 825 68 Data Data NNP A34005 825 69 to to TO A34005 825 70 find find VB A34005 825 71 one one CD A34005 825 72 single single JJ A34005 825 73 answer answer NN A34005 825 74 without without IN A34005 825 75 the the DT A34005 825 76 quality quality NN A34005 825 77 of of IN A34005 825 78 a a DT A34005 825 79 fourth fourth JJ A34005 825 80 , , , A34005 825 81 which which WDT A34005 825 82 is be VBZ A34005 825 83 demonstrated demonstrate VBN A34005 825 84 by by IN A34005 825 85 Clavius Clavius NNP A34005 825 86 , , , A34005 825 87 in in IN A34005 825 88 Theodosium Theodosium NNP A34005 825 89 , , , A34005 825 90 and and CC A34005 825 91 seeing see VBG A34005 825 92 it -PRON- PRP A34005 825 93 passes pass VBZ A34005 825 94 without without IN A34005 825 95 due due JJ A34005 825 96 caution caution NN A34005 825 97 in in IN A34005 825 98 our -PRON- PRP$ A34005 825 99 English English NNP A34005 825 100 Books Books NNPS A34005 825 101 , , , A34005 825 102 I -PRON- PRP A34005 825 103 shall shall MD A34005 825 104 insert insert VB A34005 825 105 it -PRON- PRP A34005 825 106 from from IN A34005 825 107 him -PRON- PRP A34005 825 108 : : : A34005 825 109 LEt LEt VBN A34005 825 110 A a DT A34005 825 111 D d NN A34005 825 112 and and CC A34005 825 113 A a DT A34005 825 114 C c NN A34005 825 115 be be VB A34005 825 116 two two CD A34005 825 117 equal equal JJ A34005 825 118 sides side NNS A34005 825 119 including include VBG A34005 825 120 the the DT A34005 825 121 angle angle NN A34005 825 122 D D NNP A34005 825 123 AC AC NNP A34005 825 124 , , , A34005 825 125 and and CC A34005 825 126 both both DT A34005 825 127 of of IN A34005 825 128 them -PRON- PRP A34005 825 129 less less RBR A34005 825 130 or or CC A34005 825 131 greater great JJR A34005 825 132 then then RB A34005 825 133 a a DT A34005 825 134 Quadrant Quadrant NNP A34005 825 135 . . . A34005 826 1 Draw draw VB A34005 826 2 through through IN A34005 826 3 the the DT A34005 826 4 Points Points NNPS A34005 826 5 C C NNP A34005 826 6 and and CC A34005 826 7 D d NN A34005 826 8 , , , A34005 826 9 the the DT A34005 826 10 arch arch NN A34005 826 11 of of IN A34005 826 12 a a DT A34005 826 13 great great JJ A34005 826 14 Circle Circle NNP A34005 826 15 C C NNP A34005 826 16 D D NNP A34005 826 17 , , , A34005 826 18 continue continue VB A34005 826 19 it -PRON- PRP A34005 826 20 , , , A34005 826 21 and and CC A34005 826 22 draw draw VB A34005 826 23 thereunto thereunto IN A34005 826 24 another another DT A34005 826 25 Arch Arch NNP A34005 826 26 or or CC A34005 826 27 Side side NN A34005 826 28 from from IN A34005 826 29 A a DT A34005 826 30 , , , A34005 826 31 namely namely RB A34005 826 32 A a NN A34005 826 33 B b NN A34005 826 34 , , , A34005 826 35 neither neither CC A34005 826 36 through through IN A34005 826 37 the the DT A34005 826 38 Poles Poles NNPS A34005 826 39 of of IN A34005 826 40 the the DT A34005 826 41 Arch Arch NNP A34005 826 42 C C NNP A34005 826 43 D d NN A34005 826 44 , , , A34005 826 45 nor nor CC A34005 826 46 through through IN A34005 826 47 the the DT A34005 826 48 Poles Poles NNPS A34005 826 49 of of IN A34005 826 50 the the DT A34005 826 51 Arch Arch NNP A34005 826 52 A A NNP A34005 826 53 D D NNP A34005 826 54 , , , A34005 826 55 so so IN A34005 826 56 that that IN A34005 826 57 the the DT A34005 826 58 angles angle NNS A34005 826 59 B B NNP A34005 826 60 and and CC A34005 826 61 B B NNP A34005 826 62 A A NNP A34005 826 63 D d NN A34005 826 64 may may MD A34005 826 65 not not RB A34005 826 66 be be VB A34005 826 67 right right JJ A34005 826 68 angles angle NNS A34005 826 69 , , , A34005 826 70 nor nor CC A34005 826 71 the the DT A34005 826 72 angle angle NN A34005 826 73 A a NN A34005 826 74 D d NN A34005 826 75 B b NN A34005 826 76 , , , A34005 826 77 if if IN A34005 826 78 then then RB A34005 826 79 each each DT A34005 826 80 of of IN A34005 826 81 these these DT A34005 826 82 sides side NNS A34005 826 83 A a NN A34005 826 84 D d NN A34005 826 85 A a NN A34005 826 86 C c NN A34005 826 87 be be VB A34005 826 88 less less JJR A34005 826 89 then then RB A34005 826 90 a a DT A34005 826 91 Quadrant Quadrant NNP A34005 826 92 , , , A34005 826 93 the the DT A34005 826 94 two two CD A34005 826 95 angles angle NNS A34005 826 96 C C NNP A34005 826 97 , , , A34005 826 98 and and CC A34005 826 99 A a DT A34005 826 100 D d NN A34005 826 101 C c NN A34005 826 102 will will MD A34005 826 103 be be VB A34005 826 104 Acute acute JJ A34005 826 105 ; ; : A34005 826 106 and and CC A34005 826 107 if if IN A34005 826 108 these these DT A34005 826 109 Arks Arks NNP A34005 826 110 be be VB A34005 826 111 greater great JJR A34005 826 112 respectively respectively RB A34005 826 113 then then RB A34005 826 114 a a DT A34005 826 115 Quadrant Quadrant NNP A34005 826 116 , , , A34005 826 117 the the DT A34005 826 118 two two CD A34005 826 119 angles angle NNS A34005 826 120 C c NN A34005 826 121 and and CC A34005 826 122 A A NNP A34005 826 123 D D NNP A34005 826 124 C c NN A34005 826 125 , , , A34005 826 126 will will MD A34005 826 127 be be VB A34005 826 128 Obtuse Obtuse NNP A34005 826 129 , , , A34005 826 130 whence whence IN A34005 826 131 it -PRON- PRP A34005 826 132 comes come VBZ A34005 826 133 to to TO A34005 826 134 pass pass VB A34005 826 135 that that IN A34005 826 136 the the DT A34005 826 137 angle angle NN A34005 826 138 A a NN A34005 826 139 D d NN A34005 826 140 B b NN A34005 826 141 is be VBZ A34005 826 142 Obtuse Obtuse NNP A34005 826 143 , , , A34005 826 144 when when WRB A34005 826 145 the the DT A34005 826 146 angle angle NN A34005 826 147 A A NNP A34005 826 148 D d NN A34005 826 149 C c NN A34005 826 150 is be VBZ A34005 826 151 Acute acute JJ A34005 826 152 , , , A34005 826 153 and and CC A34005 826 154 the the DT A34005 826 155 contrary contrary NN A34005 826 156 : : : A34005 826 157 Now now UH A34005 826 158 forasmuch forasmuch VB A34005 826 159 as as IN A34005 826 160 the the DT A34005 826 161 sides side NNS A34005 826 162 A A NNP A34005 826 163 C c NN A34005 826 164 and and CC A34005 826 165 A a DT A34005 826 166 D d NN A34005 826 167 are be VBP A34005 826 168 equal equal JJ A34005 826 169 to to IN A34005 826 170 each each DT A34005 826 171 other other JJ A34005 826 172 , , , A34005 826 173 the the DT A34005 826 174 other other JJ A34005 826 175 Data Data NNP A34005 826 176 , , , A34005 826 177 viz viz NN A34005 826 178 . . . A34005 827 1 the the DT A34005 827 2 side side NN A34005 827 3 A A NNP A34005 827 4 B B NNP A34005 827 5 , , , A34005 827 6 and and CC A34005 827 7 the the DT A34005 827 8 angle angle NN A34005 827 9 at at IN A34005 827 10 Bare Bare NNP A34005 827 11 common common JJ A34005 827 12 to to IN A34005 827 13 both both DT A34005 827 14 , , , A34005 827 15 for for IN A34005 827 16 in in IN A34005 827 17 each each DT A34005 827 18 Triangle Triangle NNP A34005 827 19 A A NNP A34005 827 20 B b NN A34005 827 21 D d NN A34005 827 22 , , , A34005 827 23 and and CC A34005 827 24 A a DT A34005 827 25 B b NN A34005 827 26 C c NN A34005 827 27 there there EX A34005 827 28 is be VBZ A34005 827 29 given give VBN A34005 827 30 two two CD A34005 827 31 sides side NNS A34005 827 32 with with IN A34005 827 33 the the DT A34005 827 34 angle angle NN A34005 827 35 at at IN A34005 827 36 B b NN A34005 827 37 opposite opposite NN A34005 827 38 to to IN A34005 827 39 one one CD A34005 827 40 of of IN A34005 827 41 them -PRON- PRP A34005 827 42 ; ; : A34005 827 43 Now now UH A34005 827 44 this this DT A34005 827 45 is be VBZ A34005 827 46 not not RB A34005 827 47 sufficient sufficient JJ A34005 827 48 Data Data NNP A34005 827 49 to to TO A34005 827 50 find find VB A34005 827 51 the the DT A34005 827 52 angle angle NN A34005 827 53 opposite opposite RB A34005 827 54 to to IN A34005 827 55 the the DT A34005 827 56 other other JJ A34005 827 57 side side NN A34005 827 58 , , , A34005 827 59 which which WDT A34005 827 60 may may MD A34005 827 61 be be VB A34005 827 62 either either CC A34005 827 63 the the DT A34005 827 64 acute acute JJ A34005 827 65 angle angle NN A34005 827 66 at at IN A34005 827 67 C C NNP A34005 827 68 , , , A34005 827 69 or or CC A34005 827 70 the the DT A34005 827 71 Obtuse Obtuse NNP A34005 827 72 angle angle NN A34005 827 73 ADB ADB NNP A34005 827 74 the the DT A34005 827 75 Complement Complement NNP A34005 827 76 thereof thereof RB A34005 827 77 to to IN A34005 827 78 a a DT A34005 827 79 Semicircle Semicircle NNP A34005 827 80 : : : A34005 827 81 Nor nor CC A34005 827 82 to to TO A34005 827 83 find find VB A34005 827 84 the the DT A34005 827 85 third third JJ A34005 827 86 side side NN A34005 827 87 , , , A34005 827 88 which which WDT A34005 827 89 may may MD A34005 827 90 be be VB A34005 827 91 either either CC A34005 827 92 B b NN A34005 827 93 D d NN A34005 827 94 , , , A34005 827 95 or or CC A34005 827 96 the the DT A34005 827 97 whole whole JJ A34005 827 98 side side NN A34005 827 99 B B NNP A34005 827 100 C c NN A34005 827 101 , , , A34005 827 102 nor nor CC A34005 827 103 the the DT A34005 827 104 angle angle NN A34005 827 105 included include VBD A34005 827 106 , , , A34005 827 107 which which WDT A34005 827 108 may may MD A34005 827 109 be be VB A34005 827 110 either either CC A34005 827 111 B b NN A34005 827 112 A a NN A34005 827 113 D d NN A34005 827 114 , , , A34005 827 115 or or CC A34005 827 116 B B NNP A34005 827 117 A A NNP A34005 827 118 C C NNP A34005 827 119 , , , A34005 827 120 therefore therefore RB A34005 827 121 in in IN A34005 827 122 these these DT A34005 827 123 3 3 CD A34005 827 124 Cases case NNS A34005 827 125 we -PRON- PRP A34005 827 126 have have VBP A34005 827 127 required require VBN A34005 827 128 the the DT A34005 827 129 quality quality NN A34005 827 130 of of IN A34005 827 131 the the DT A34005 827 132 angle angle NN A34005 827 133 opposite opposite RB A34005 827 134 to to IN A34005 827 135 the the DT A34005 827 136 other other JJ A34005 827 137 given give VBN A34005 827 138 side side NN A34005 827 139 A a DT A34005 827 140 B b NN A34005 827 141 , , , A34005 827 142 and and CC A34005 827 143 though though IN A34005 827 144 it -PRON- PRP A34005 827 145 be be VB A34005 827 146 not not RB A34005 827 147 so so RB A34005 827 148 much much RB A34005 827 149 observed observed JJ A34005 827 150 ; ; : A34005 827 151 in in IN A34005 827 152 the the DT A34005 827 153 other other JJ A34005 827 154 Trigonometry Trigonometry NNP A34005 827 155 , , , A34005 827 156 by by IN A34005 827 157 Perpendiculars perpendicular NNS A34005 827 158 let let VBD A34005 827 159 fall fall VB A34005 827 160 , , , A34005 827 161 without without IN A34005 827 162 the the DT A34005 827 163 knowledge knowledge NN A34005 827 164 of of IN A34005 827 165 the the DT A34005 827 166 said said JJ A34005 827 167 angle angle NN A34005 827 168 it -PRON- PRP A34005 827 169 could could MD A34005 827 170 not not RB A34005 827 171 be be VB A34005 827 172 determined determine VBN A34005 827 173 whether whether IN A34005 827 174 the the DT A34005 827 175 Perpendicular Perpendicular NNP A34005 827 176 would would MD A34005 827 177 fall fall VB A34005 827 178 with with IN A34005 827 179 in in IN A34005 827 180 or or CC A34005 827 181 without without IN A34005 827 182 the the DT A34005 827 183 Triangle Triangle NNP A34005 827 184 , , , A34005 827 185 nor nor CC A34005 827 186 whether whether IN A34005 827 187 the the DT A34005 827 188 angle angle NN A34005 827 189 found find VBN A34005 827 190 in in IN A34005 827 191 the the DT A34005 827 192 first first JJ A34005 827 193 Case case NN A34005 827 194 be be VB A34005 827 195 the the DT A34005 827 196 thing thing NN A34005 827 197 sought seek VBN A34005 827 198 , , , A34005 827 199 or or CC A34005 827 200 its -PRON- PRP$ A34005 827 201 Complement Complement NNP A34005 827 202 to to IN A34005 827 203 180 180 CD A34005 827 204 ● ● CD A34005 827 205 , , , A34005 827 206 nor nor CC A34005 827 207 whether whether IN A34005 827 208 the the DT A34005 827 209 angles angle NNS A34005 827 210 or or CC A34005 827 211 Segments Segments NNPS A34005 827 212 found find VBN A34005 827 213 by by IN A34005 827 214 1st 1st NN A34005 827 215 and and CC A34005 827 216 2d 2d NNP A34005 827 217 Operation Operation NNP A34005 827 218 in in IN A34005 827 219 the the DT A34005 827 220 other other JJ A34005 827 221 Cases case NNS A34005 827 222 are be VBP A34005 827 223 to to TO A34005 827 224 be be VB A34005 827 225 added add VBN A34005 827 226 together together RB A34005 827 227 , , , A34005 827 228 or or CC A34005 827 229 substracted substracte VBN A34005 827 230 from from IN A34005 827 231 each each DT A34005 827 232 other other JJ A34005 827 233 , , , A34005 827 234 to to TO A34005 827 235 obtain obtain VB A34005 827 236 the the DT A34005 827 237 side side NN A34005 827 238 or or CC A34005 827 239 angle angle NN A34005 827 240 sought seek VBN A34005 827 241 . . . A34005 828 1 So so RB A34005 828 2 also also RB A34005 828 3 two two CD A34005 828 4 angles angle NNS A34005 828 5 with with IN A34005 828 6 a a DT A34005 828 7 side side NN A34005 828 8 opposite opposite RB A34005 828 9 to to IN A34005 828 10 one one CD A34005 828 11 of of IN A34005 828 12 them -PRON- PRP A34005 828 13 , , , A34005 828 14 are be VBP A34005 828 15 not not RB A34005 828 16 sufficient sufficient JJ A34005 828 17 Data Data NNP A34005 828 18 to to TO A34005 828 19 obtain obtain VB A34005 828 20 a a DT A34005 828 21 fourth fourth JJ A34005 828 22 thing thing NN A34005 828 23 in in IN A34005 828 24 the the DT A34005 828 25 said say VBN A34005 828 26 Triangle Triangle NNP A34005 828 27 , , , A34005 828 28 without without IN A34005 828 29 the the DT A34005 828 30 affection affection NN A34005 828 31 of of IN A34005 828 32 the the DT A34005 828 33 side side NN A34005 828 34 opposite opposite RB A34005 828 35 to to IN A34005 828 36 the the DT A34005 828 37 other other JJ A34005 828 38 given give VBN A34005 828 39 angle angle NN A34005 828 40 . . . A34005 829 1 LEt let VB A34005 829 2 A a DT A34005 829 3 B b NN A34005 829 4 and and CC A34005 829 5 A a DT A34005 829 6 C c NN A34005 829 7 be be VB A34005 829 8 two two CD A34005 829 9 unequal unequal JJ A34005 829 10 sides side NNS A34005 829 11 containing contain VBG A34005 829 12 the the DT A34005 829 13 angle angle NN A34005 829 14 B B NNP A34005 829 15 A A NNP A34005 829 16 C c NN A34005 829 17 both both CC A34005 829 18 together together RB A34005 829 19 equal equal JJ A34005 829 20 to to IN A34005 829 21 a a DT A34005 829 22 Semicircle Semicircle NNP A34005 829 23 , , , A34005 829 24 one one CD A34005 829 25 being be VBG A34005 829 26 greater great JJR A34005 829 27 , , , A34005 829 28 the the DT A34005 829 29 other other JJ A34005 829 30 less less RBR A34005 829 31 then then RB A34005 829 32 a a DT A34005 829 33 Quadrant Quadrant NNP A34005 829 34 Draw Draw NNP A34005 829 35 through through IN A34005 829 36 the the DT A34005 829 37 Points Points NNPS A34005 829 38 B B NNP A34005 829 39 and and CC A34005 829 40 C C NNP A34005 829 41 , , , A34005 829 42 the the DT A34005 829 43 arch arch NN A34005 829 44 of of IN A34005 829 45 a a DT A34005 829 46 great great JJ A34005 829 47 Circle Circle NNP A34005 829 48 B B NNP A34005 829 49 C C NNP A34005 829 50 , , , A34005 829 51 continue continue VB A34005 829 52 it -PRON- PRP A34005 829 53 , , , A34005 829 54 and and CC A34005 829 55 draw draw VB A34005 829 56 thereto thereto NN A34005 829 57 from from IN A34005 829 58 A a DT A34005 829 59 another another DT A34005 829 60 side side JJ A34005 829 61 AD ad NN A34005 829 62 ; ; : A34005 829 63 but but CC A34005 829 64 not not RB A34005 829 65 through through IN A34005 829 66 the the DT A34005 829 67 Poles Poles NNPS A34005 829 68 of of IN A34005 829 69 A A NNP A34005 829 70 C C NNP A34005 829 71 , , , A34005 829 72 nor nor CC A34005 829 73 through through IN A34005 829 74 the the DT A34005 829 75 Poles Poles NNPS A34005 829 76 of of IN A34005 829 77 B B NNP A34005 829 78 C C NNP A34005 829 79 , , , A34005 829 80 so so IN A34005 829 81 that that IN A34005 829 82 the the DT A34005 829 83 angles angle NNS A34005 829 84 D D NNP A34005 829 85 and and CC A34005 829 86 C C NNP A34005 829 87 A A NNP A34005 829 88 D d NN A34005 829 89 may may MD A34005 829 90 not not RB A34005 829 91 be be VB A34005 829 92 right right JJ A34005 829 93 angles angle NNS A34005 829 94 , , , A34005 829 95 nor nor CC A34005 829 96 the the DT A34005 829 97 angle angle NN A34005 829 98 A a NN A34005 829 99 C c NN A34005 829 100 D d NN A34005 829 101 a a DT A34005 829 102 right right JJ A34005 829 103 angle angle NN A34005 829 104 ; ; : A34005 829 105 for for IN A34005 829 106 if if IN A34005 829 107 it -PRON- PRP A34005 829 108 were be VBD A34005 829 109 a a DT A34005 829 110 right right JJ A34005 829 111 angle angle NN A34005 829 112 , , , A34005 829 113 the the DT A34005 829 114 angle angle NN A34005 829 115 A A NNP A34005 829 116 B b NN A34005 829 117 C c NN A34005 829 118 whereto whereto NN A34005 829 119 it -PRON- PRP A34005 829 120 is be VBZ A34005 829 121 equal equal JJ A34005 829 122 , , , A34005 829 123 should should MD A34005 829 124 be be VB A34005 829 125 also also RB A34005 829 126 a a DT A34005 829 127 right right JJ A34005 829 128 angle angle NN A34005 829 129 , , , A34005 829 130 and and CC A34005 829 131 so so RB A34005 829 132 the the DT A34005 829 133 two two CD A34005 829 134 sides side NNS A34005 829 135 A a DT A34005 829 136 B b NN A34005 829 137 and and CC A34005 829 138 A a NN A34005 829 139 C c NN A34005 829 140 , , , A34005 829 141 by by IN A34005 829 142 reason reason NN A34005 829 143 of of IN A34005 829 144 their -PRON- PRP$ A34005 829 145 right right JJ A34005 829 146 angles angle NNS A34005 829 147 at at IN A34005 829 148 B b NN A34005 829 149 and and CC A34005 829 150 C C NNP A34005 829 151 should should MD A34005 829 152 be be VB A34005 829 153 equal equal JJ A34005 829 154 , , , A34005 829 155 and and CC A34005 829 156 be be VB A34005 829 157 Quadrants quadrant NNS A34005 829 158 contrary contrary JJ A34005 829 159 to to IN A34005 829 160 the the DT A34005 829 161 Supposition supposition NN A34005 829 162 ; ; : A34005 829 163 Now now RB A34005 829 164 the the DT A34005 829 165 angles angle NNS A34005 829 166 A a NN A34005 829 167 C c NN A34005 829 168 D d NN A34005 829 169 and and CC A34005 829 170 A a DT A34005 829 171 B b NN A34005 829 172 C c NN A34005 829 173 being be VBG A34005 829 174 equal equal JJ A34005 829 175 , , , A34005 829 176 which which WDT A34005 829 177 is be VBZ A34005 829 178 thus thus RB A34005 829 179 proved prove VBN A34005 829 180 : : : A34005 829 181 Suppose suppose VB A34005 829 182 the the DT A34005 829 183 two two CD A34005 829 184 sides side NNS A34005 829 185 A a DT A34005 829 186 B b NN A34005 829 187 and and CC A34005 829 188 B b NN A34005 829 189 D d NN A34005 829 190 to to TO A34005 829 191 be be VB A34005 829 192 continued continue VBN A34005 829 193 to to IN A34005 829 194 a a DT A34005 829 195 Semicircle Semicircle NNP A34005 829 196 at at IN A34005 829 197 E e NN A34005 829 198 , , , A34005 829 199 then then RB A34005 829 200 will will MD A34005 829 201 the the DT A34005 829 202 said said JJ A34005 829 203 angle angle NN A34005 829 204 be be VB A34005 829 205 equal equal JJ A34005 829 206 to to IN A34005 829 207 its -PRON- PRP$ A34005 829 208 opposite opposite JJ A34005 829 209 angle angle NN A34005 829 210 at at IN A34005 829 211 B b NN A34005 829 212 , , , A34005 829 213 the the DT A34005 829 214 side side NN A34005 829 215 A a DT A34005 829 216 C c NN A34005 829 217 by by IN A34005 829 218 supposition supposition NN A34005 829 219 is be VBZ A34005 829 220 equal equal JJ A34005 829 221 to to IN A34005 829 222 the the DT A34005 829 223 side side NN A34005 829 224 A a NN A34005 829 225 E e NN A34005 829 226 , , , A34005 829 227 the the DT A34005 829 228 Complement Complement NNP A34005 829 229 of of IN A34005 829 230 the the DT A34005 829 231 side side NN A34005 829 232 A a DT A34005 829 233 B b NN A34005 829 234 to to IN A34005 829 235 a a DT A34005 829 236 Semicircle Semicircle NNP A34005 829 237 , , , A34005 829 238 but but CC A34005 829 239 equal equal JJ A34005 829 240 sides side NNS A34005 829 241 subtend subtend VBP A34005 829 242 equal equal JJ A34005 829 243 angles angle NNS A34005 829 244 , , , A34005 829 245 therefore therefore RB A34005 829 246 the the DT A34005 829 247 angle angle NN A34005 829 248 at at IN A34005 829 249 C C NNP A34005 829 250 is be VBZ A34005 829 251 equal equal JJ A34005 829 252 to to IN A34005 829 253 the the DT A34005 829 254 angle angle NN A34005 829 255 at at IN A34005 829 256 B b NN A34005 829 257 or or CC A34005 829 258 at at IN A34005 829 259 E e NN A34005 829 260 , , , A34005 829 261 which which WDT A34005 829 262 being be VBG A34005 829 263 admitted admit VBN A34005 829 264 retaining retain VBG A34005 829 265 the the DT A34005 829 266 side side NN A34005 829 267 A a DT A34005 829 268 D d NN A34005 829 269 and and CC A34005 829 270 angle angle NN A34005 829 271 at at IN A34005 829 272 D d NN A34005 829 273 , , , A34005 829 274 we -PRON- PRP A34005 829 275 have have VBP A34005 829 276 another another DT A34005 829 277 angle angle NN A34005 829 278 opposite opposite IN A34005 829 279 thereto thereto NN A34005 829 280 , , , A34005 829 281 either either CC A34005 829 282 C C NNP A34005 829 283 or or CC A34005 829 284 B B NNP A34005 829 285 , , , A34005 829 286 which which WDT A34005 829 287 are be VBP A34005 829 288 equal equal JJ A34005 829 289 and and CC A34005 829 290 common common JJ A34005 829 291 to to IN A34005 829 292 both both DT A34005 829 293 Triangles Triangles NNPS A34005 829 294 , , , A34005 829 295 and and CC A34005 829 296 so so RB A34005 829 297 if if IN A34005 829 298 the the DT A34005 829 299 side side NN A34005 829 300 opposite opposite RB A34005 829 301 to to IN A34005 829 302 the the DT A34005 829 303 given give VBN A34005 829 304 angle angle NN A34005 829 305 at at IN A34005 829 306 D D NNP A34005 829 307 were be VBD A34005 829 308 sought seek VBN A34005 829 309 , , , A34005 829 310 a a DT A34005 829 311 double double JJ A34005 829 312 answer answer NN A34005 829 313 should should MD A34005 829 314 be be VB A34005 829 315 given give VBN A34005 829 316 , , , A34005 829 317 either either CC A34005 829 318 the the DT A34005 829 319 side side NN A34005 829 320 A A NNP A34005 829 321 C c NN A34005 829 322 , , , A34005 829 323 or or CC A34005 829 324 the the DT A34005 829 325 other other JJ A34005 829 326 side side NN A34005 829 327 A a DT A34005 829 328 B b NN A34005 829 329 its -PRON- PRP$ A34005 829 330 Complement Complement NNP A34005 829 331 to to IN A34005 829 332 180 180 CD A34005 829 333 , , , A34005 829 334 and and CC A34005 829 335 the the DT A34005 829 336 interjacent interjacent JJ A34005 829 337 side side NN A34005 829 338 might may MD A34005 829 339 be be VB A34005 829 340 C c NN A34005 829 341 D d NN A34005 829 342 or or CC A34005 829 343 B b NN A34005 829 344 D d NN A34005 829 345 , , , A34005 829 346 and and CC A34005 829 347 the the DT A34005 829 348 third third JJ A34005 829 349 angle angle NN A34005 829 350 the the DT A34005 829 351 lesser less JJR A34005 829 352 angle angle NN A34005 829 353 C C NNP A34005 829 354 A a NN A34005 829 355 D d NN A34005 829 356 , , , A34005 829 357 or or CC A34005 829 358 the the DT A34005 829 359 greater great JJR A34005 829 360 B B NNP A34005 829 361 A A NNP A34005 829 362 D d NN A34005 829 363 , , , A34005 829 364 which which WDT A34005 829 365 is be VBZ A34005 829 366 not not RB A34005 829 367 commonly commonly RB A34005 829 368 animadverted animadvert VBN A34005 829 369 . . . A34005 830 1 Two two CD A34005 830 2 Sides side NNS A34005 830 3 with with IN A34005 830 4 the the DT A34005 830 5 Angle Angle NNP A34005 830 6 comprehended comprehend VBD A34005 830 7 , , , A34005 830 8 to to TO A34005 830 9 find find VB A34005 830 10 the the DT A34005 830 11 third third JJ A34005 830 12 Side side NN A34005 830 13 . . . A34005 831 1 That that IN A34005 831 2 the the DT A34005 831 3 former former JJ A34005 831 4 Cases case NNS A34005 831 5 might may MD A34005 831 6 be be VB A34005 831 7 resolved resolve VBN A34005 831 8 without without IN A34005 831 9 the the DT A34005 831 10 help help NN A34005 831 11 of of IN A34005 831 12 Perpendiculars Perpendiculars NNP A34005 831 13 , , , A34005 831 14 hath hath NNP A34005 831 15 been be VBN A34005 831 16 long long RB A34005 831 17 since since IN A34005 831 18 hinted hint VBN A34005 831 19 by by IN A34005 831 20 Mr Mr NNP A34005 831 21 Gunter Gunter NNP A34005 831 22 , , , A34005 831 23 Mr Mr NNP A34005 831 24 Speidel Speidel NNP A34005 831 25 , , , A34005 831 26 and and CC A34005 831 27 Mr Mr NNP A34005 831 28 Gellibrand Gellibrand NNP A34005 831 29 , , , A34005 831 30 but but CC A34005 831 31 so so RB A34005 831 32 obscurely obscurely RB A34005 831 33 that that IN A34005 831 34 I -PRON- PRP A34005 831 35 suppose suppose VBP A34005 831 36 little little JJ A34005 831 37 notice notice NN A34005 831 38 was be VBD A34005 831 39 taken take VBN A34005 831 40 thereof thereof RB A34005 831 41 ; ; : A34005 831 42 but but CC A34005 831 43 this this DT A34005 831 44 Case Case NNP A34005 831 45 hath hath NN A34005 831 46 not not RB A34005 831 47 hitherto hitherto VBN A34005 831 48 been be VBN A34005 831 49 resolved resolve VBN A34005 831 50 by by IN A34005 831 51 any any DT A34005 831 52 man man NN A34005 831 53 , , , A34005 831 54 to to IN A34005 831 55 my -PRON- PRP$ A34005 831 56 knowledge knowledge NN A34005 831 57 , , , A34005 831 58 under under IN A34005 831 59 two two CD A34005 831 60 Operations operation NNS A34005 831 61 with with IN A34005 831 62 a a DT A34005 831 63 Perpendicular Perpendicular NNP A34005 831 64 let let NN A34005 831 65 fall fall NN A34005 831 66 , , , A34005 831 67 working work VBG A34005 831 68 by by IN A34005 831 69 Logarithms Logarithms NNP A34005 831 70 , , , A34005 831 71 unless unless IN A34005 831 72 by by IN A34005 831 73 Multiplication Multiplication NNP A34005 831 74 and and CC A34005 831 75 Division Division NNP A34005 831 76 in in IN A34005 831 77 the the DT A34005 831 78 natural natural JJ A34005 831 79 Numbers number NNS A34005 831 80 , , , A34005 831 81 which which WDT A34005 831 82 being be VBG A34005 831 83 the the DT A34005 831 84 onely onely RB A34005 831 85 Case case NN A34005 831 86 left leave VBD A34005 831 87 wherein wherein WRB A34005 831 88 we -PRON- PRP A34005 831 89 are be VBP A34005 831 90 to to TO A34005 831 91 use use VB A34005 831 92 Perpendiculars perpendicular NNS A34005 831 93 , , , A34005 831 94 I -PRON- PRP A34005 831 95 shall shall MD A34005 831 96 shew shew VB A34005 831 97 how how WRB A34005 831 98 to to TO A34005 831 99 shun shun VB A34005 831 100 both both DT A34005 831 101 , , , A34005 831 102 with with IN A34005 831 103 the the DT A34005 831 104 joynt joynt NNP A34005 831 105 use use NN A34005 831 106 of of IN A34005 831 107 the the DT A34005 831 108 Natural Natural NNP A34005 831 109 and and CC A34005 831 110 Logarithmical Logarithmical NNP A34005 831 111 Tables Tables NNPS A34005 831 112 , , , A34005 831 113 by by IN A34005 831 114 a a DT A34005 831 115 novel novel JJ A34005 831 116 Proportion proportion NN A34005 831 117 of of IN A34005 831 118 my -PRON- PRP$ A34005 831 119 own own JJ A34005 831 120 , , , A34005 831 121 and and CC A34005 831 122 illustrate illustrate VB A34005 831 123 the the DT A34005 831 124 usefulness usefulness NN A34005 831 125 thereof thereof RB A34005 831 126 by by IN A34005 831 127 some some DT A34005 831 128 Examples Examples NNPS A34005 831 129 . . . A34005 832 1 Two two CD A34005 832 2 Sides side NNS A34005 832 3 with with IN A34005 832 4 the the DT A34005 832 5 Angle Angle NNP A34005 832 6 comprehended comprehend VBD A34005 832 7 , , , A34005 832 8 to to TO A34005 832 9 find find VB A34005 832 10 3d 3d NN A34005 832 11 Side side NN A34005 832 12 . . . A34005 833 1 As as IN A34005 833 2 the the DT A34005 833 3 Cube Cube NNP A34005 833 4 of of IN A34005 833 5 the the DT A34005 833 6 Radius Radius NNP A34005 833 7 , , , A34005 833 8 To to IN A34005 833 9 the the DT A34005 833 10 Rectangle Rectangle NNP A34005 833 11 of of IN A34005 833 12 the the DT A34005 833 13 Sines Sines NNPS A34005 833 14 of of IN A34005 833 15 the the DT A34005 833 16 comprehending comprehend VBG A34005 833 17 sides side NNS A34005 833 18 : : : A34005 833 19 So so RB A34005 833 20 is be VBZ A34005 833 21 the the DT A34005 833 22 Square Square NNP A34005 833 23 of of IN A34005 833 24 the the DT A34005 833 25 Sine Sine NNP A34005 833 26 of of IN A34005 833 27 half half PDT A34005 833 28 the the DT A34005 833 29 angle angle NN A34005 833 30 contained contain VBN A34005 833 31 , , , A34005 833 32 To to IN A34005 833 33 half half PDT A34005 833 34 the the DT A34005 833 35 difference difference NN A34005 833 36 of of IN A34005 833 37 the the DT A34005 833 38 Versed versed JJ A34005 833 39 sines sine NNS A34005 833 40 of of IN A34005 833 41 the the DT A34005 833 42 third third JJ A34005 833 43 side side NN A34005 833 44 , , , A34005 833 45 and and CC A34005 833 46 of of IN A34005 833 47 the the DT A34005 833 48 Ark Ark NNP A34005 833 49 of of IN A34005 833 50 difference difference NN A34005 833 51 between between IN A34005 833 52 the the DT A34005 833 53 two two CD A34005 833 54 including include VBG A34005 833 55 sides side NNS A34005 833 56 , , , A34005 833 57 Which which WDT A34005 833 58 half half NN A34005 833 59 difference difference NN A34005 833 60 doubled double VBD A34005 833 61 , , , A34005 833 62 and and CC A34005 833 63 added add VBD A34005 833 64 to to IN A34005 833 65 the the DT A34005 833 66 Versed Versed NNP A34005 833 67 Sine Sine NNP A34005 833 68 of of IN A34005 833 69 the the DT A34005 833 70 difference difference NN A34005 833 71 of of IN A34005 833 72 the the DT A34005 833 73 Leggs Leggs NNP A34005 833 74 or or CC A34005 833 75 containing contain VBG A34005 833 76 sides side NNS A34005 833 77 , , , A34005 833 78 gives give VBZ A34005 833 79 the the DT A34005 833 80 Versed Versed NNP A34005 833 81 Sine Sine NNP A34005 833 82 of of IN A34005 833 83 the the DT A34005 833 84 side side NN A34005 833 85 sought seek VBD A34005 833 86 . . . A34005 834 1 And and CC A34005 834 2 if if IN A34005 834 3 you -PRON- PRP A34005 834 4 will will MD A34005 834 5 make make VB A34005 834 6 the the DT A34005 834 7 third third JJ A34005 834 8 Tearm Tearm NNP A34005 834 9 the the DT A34005 834 10 Square Square NNP A34005 834 11 of of IN A34005 834 12 the the DT A34005 834 13 Sine Sine NNP A34005 834 14 of of IN A34005 834 15 half half PDT A34005 834 16 the the DT A34005 834 17 Complement Complement NNP A34005 834 18 of of IN A34005 834 19 the the DT A34005 834 20 contained contained JJ A34005 834 21 angle angle NN A34005 834 22 to to IN A34005 834 23 180d 180d NNPS A34005 834 24 , , , A34005 834 25 you -PRON- PRP A34005 834 26 will will MD A34005 834 27 find find VB A34005 834 28 the the DT A34005 834 29 half half JJ A34005 834 30 difference difference NN A34005 834 31 of of IN A34005 834 32 the the DT A34005 834 33 Versed Versed NNP A34005 834 34 Sines Sines NNPS A34005 834 35 of of IN A34005 834 36 the the DT A34005 834 37 third third JJ A34005 834 38 side side NN A34005 834 39 , , , A34005 834 40 and and CC A34005 834 41 of of IN A34005 834 42 the the DT A34005 834 43 sum sum NN A34005 834 44 of of IN A34005 834 45 the the DT A34005 834 46 two two CD A34005 834 47 including include VBG A34005 834 48 sides side NNS A34005 834 49 to to TO A34005 834 50 be be VB A34005 834 51 doubled double VBN A34005 834 52 and and CC A34005 834 53 substracted substracte VBN A34005 834 54 from from IN A34005 834 55 the the DT A34005 834 56 Versed Versed NNP A34005 834 57 Sine Sine NNP A34005 834 58 of of IN A34005 834 59 the the DT A34005 834 60 said say VBN A34005 834 61 sum sum NN A34005 834 62 . . . A34005 835 1 But but CC A34005 835 2 to to TO A34005 835 3 apply apply VB A34005 835 4 the the DT A34005 835 5 former former JJ A34005 835 6 to to IN A34005 835 7 Logarithms Logarithms NNP A34005 835 8 . . . A34005 836 1 Double double VB A34005 836 2 the the DT A34005 836 3 Logarithmical Logarithmical NNP A34005 836 4 Sine Sine NNP A34005 836 5 of of IN A34005 836 6 half half PDT A34005 836 7 the the DT A34005 836 8 angle angle NN A34005 836 9 given give VBN A34005 836 10 , , , A34005 836 11 & & CC A34005 836 12 thereto thereto NNP A34005 836 13 adde adde NNP A34005 836 14 the the DT A34005 836 15 Logarithms Logarithms NNP A34005 836 16 of of IN A34005 836 17 the the DT A34005 836 18 sines sine NNS A34005 836 19 of of IN A34005 836 20 the the DT A34005 836 21 containing contain VBG A34005 836 22 Sides Sides NNPS A34005 836 23 , , , A34005 836 24 & & CC A34005 836 25 from from IN A34005 836 26 the the DT A34005 836 27 left left JJ A34005 836 28 hand hand NN A34005 836 29 of of IN A34005 836 30 the the DT A34005 836 31 Sum Sum NNP A34005 836 32 , , , A34005 836 33 Substract Substract NNP A34005 836 34 3 3 CD A34005 836 35 for for IN A34005 836 36 the the DT A34005 836 37 Cube Cube NNP A34005 836 38 of of IN A34005 836 39 the the DT A34005 836 40 Radius Radius NNP A34005 836 41 , , , A34005 836 42 so so RB A34005 836 43 rests rest VBZ A34005 836 44 the the DT A34005 836 45 Logarithm Logarithm NNP A34005 836 46 of of IN A34005 836 47 half half PDT A34005 836 48 the the DT A34005 836 49 difference difference NN A34005 836 50 of of IN A34005 836 51 those those DT A34005 836 52 two two CD A34005 836 53 Versed versed JJ A34005 836 54 Sines Sines NNPS A34005 836 55 above above RB A34005 836 56 . . . A34005 837 1 And and CC A34005 837 2 if if IN A34005 837 3 instead instead RB A34005 837 4 of of IN A34005 837 5 the the DT A34005 837 6 second second JJ A34005 837 7 Tearm Tearm NNP A34005 837 8 be be VB A34005 837 9 taken take VBN A34005 837 10 into into IN A34005 837 11 the the DT A34005 837 12 Proportion Proportion NNP A34005 837 13 , , , A34005 837 14 the the DT A34005 837 15 double double JJ A34005 837 16 of of IN A34005 837 17 the the DT A34005 837 18 Rectangle Rectangle NNP A34005 837 19 of of IN A34005 837 20 the the DT A34005 837 21 Sines Sines NNPS A34005 837 22 of of IN A34005 837 23 the the DT A34005 837 24 containing contain VBG A34005 837 25 Sides side NNS A34005 837 26 ; ; : A34005 837 27 that that RB A34005 837 28 is is RB A34005 837 29 , , , A34005 837 30 if if IN A34005 837 31 the the DT A34005 837 32 Logarithm Logarithm NNP A34005 837 33 of of IN A34005 837 34 the the DT A34005 837 35 Number number NN A34005 837 36 2 2 CD A34005 837 37 be be VB A34005 837 38 added add VBN A34005 837 39 to to IN A34005 837 40 the the DT A34005 837 41 Logm Logm NNP A34005 837 42 of of IN A34005 837 43 the the DT A34005 837 44 other other JJ A34005 837 45 middle middle JJ A34005 837 46 Tearms Tearms NNPS A34005 837 47 , , , A34005 837 48 you -PRON- PRP A34005 837 49 will will MD A34005 837 50 have have VB A34005 837 51 the the DT A34005 837 52 Logarithm Logarithm NNP A34005 837 53 of of IN A34005 837 54 the the DT A34005 837 55 whole whole JJ A34005 837 56 Difference difference NN A34005 837 57 in in IN A34005 837 58 the the DT A34005 837 59 last last JJ A34005 837 60 place place NN A34005 837 61 ; ; , A34005 837 62 having have VBG A34005 837 63 found find VBN A34005 837 64 it -PRON- PRP A34005 837 65 , , , A34005 837 66 take take VB A34005 837 67 the the DT A34005 837 68 Number Number NNP A34005 837 69 that that WDT A34005 837 70 stands stand VBZ A34005 837 71 against against IN A34005 837 72 it -PRON- PRP A34005 837 73 , , , A34005 837 74 either either CC A34005 837 75 in in IN A34005 837 76 the the DT A34005 837 77 Natural Natural NNP A34005 837 78 Sines Sines NNPS A34005 837 79 or or CC A34005 837 80 Tangents Tangents NNP A34005 837 81 , , , A34005 837 82 and and CC A34005 837 83 accordingly accordingly RB A34005 837 84 add add VB A34005 837 85 it -PRON- PRP A34005 837 86 to to IN A34005 837 87 the the DT A34005 837 88 Natural Natural NNP A34005 837 89 Versed Versed NNP A34005 837 90 Sine Sine NNP A34005 837 91 of of IN A34005 837 92 the the DT A34005 837 93 Difference Difference NNP A34005 837 94 of of IN A34005 837 95 the the DT A34005 837 96 Leggs Leggs NNP A34005 837 97 , , , A34005 837 98 and and CC A34005 837 99 the the DT A34005 837 100 summe summe NN A34005 837 101 is be VBZ A34005 837 102 the the DT A34005 837 103 natural natural JJ A34005 837 104 Versed Versed NNP A34005 837 105 Sine Sine NNP A34005 837 106 of of IN A34005 837 107 the the DT A34005 837 108 side side NN A34005 837 109 sought seek VBD A34005 837 110 . . . A34005 838 1 This this DT A34005 838 2 is be VBZ A34005 838 3 the the DT A34005 838 4 Inverse Inverse NNP A34005 838 5 of of IN A34005 838 6 the the DT A34005 838 7 4 4 CD A34005 838 8 h h NN A34005 838 9 Axiom Axiom NNP A34005 838 10 , , , A34005 838 11 used use VBD A34005 838 12 when when WRB A34005 838 13 3 3 CD A34005 838 14 sides side NNS A34005 838 15 are be VBP A34005 838 16 given give VBN A34005 838 17 to to TO A34005 838 18 find find VB A34005 838 19 an an DT A34005 838 20 angle angle NN A34005 838 21 , , , A34005 838 22 and and CC A34005 838 23 will will MD A34005 838 24 be be VB A34005 838 25 of of IN A34005 838 26 great great JJ A34005 838 27 use use NN A34005 838 28 to to TO A34005 838 29 Calculate calculate VB A34005 838 30 the the DT A34005 838 31 Distances distance NNS A34005 838 32 of of IN A34005 838 33 Stars Stars NNPS A34005 838 34 by by IN A34005 838 35 having have VBG A34005 838 36 their -PRON- PRP$ A34005 838 37 Declinations declination NNS A34005 838 38 and and CC A34005 838 39 right right JJ A34005 838 40 Ascensions Ascensions NNPS A34005 838 41 , , , A34005 838 42 or or CC A34005 838 43 Longitudes Longitudes NNP A34005 838 44 and and CC A34005 838 45 Latitudes Latitudes NNP A34005 838 46 given give VBN A34005 838 47 , , , A34005 838 48 by by IN A34005 838 49 means mean NNS A34005 838 50 whereof whereof IN A34005 838 51 the the DT A34005 838 52 Altitudes Altitudes NNPS A34005 838 53 of of IN A34005 838 54 two two CD A34005 838 55 of of IN A34005 838 56 them -PRON- PRP A34005 838 57 , , , A34005 838 58 or or CC A34005 838 59 of of IN A34005 838 60 the the DT A34005 838 61 Sun Sun NNP A34005 838 62 with with IN A34005 838 63 the the DT A34005 838 64 difference difference NN A34005 838 65 of of IN A34005 838 66 time time NN A34005 838 67 , , , A34005 838 68 or or CC A34005 838 69 Azimuth Azimuth NNP A34005 838 70 , , , A34005 838 71 being be VBG A34005 838 72 observed observe VBN A34005 838 73 at at IN A34005 838 74 any any DT A34005 838 75 time time NN A34005 838 76 off off IN A34005 838 77 the the DT A34005 838 78 Meridian Meridian NNP A34005 838 79 , , , A34005 838 80 the the DT A34005 838 81 Latitude Latitude NNP A34005 838 82 may may MD A34005 838 83 be be VB A34005 838 84 found find VBN A34005 838 85 , , , A34005 838 86 as as RB A34005 838 87 also also RB A34005 838 88 for for IN A34005 838 89 Calculating calculate VBG A34005 838 90 the the DT A34005 838 91 distances distance NNS A34005 838 92 of of IN A34005 838 93 places place NNS A34005 838 94 in in IN A34005 838 95 the the DT A34005 838 96 Arch Arch NNP A34005 838 97 of of IN A34005 838 98 a a DT A34005 838 99 great great JJ A34005 838 100 Circle Circle NNP A34005 838 101 , , , A34005 838 102 all all DT A34005 838 103 of of IN A34005 838 104 them -PRON- PRP A34005 838 105 Propositions proposition NNS A34005 838 106 of of IN A34005 838 107 good good JJ A34005 838 108 use use NN A34005 838 109 in in IN A34005 838 110 Navigation Navigation NNP A34005 838 111 ; ; : A34005 838 112 as as IN A34005 838 113 for for IN A34005 838 114 the the DT A34005 838 115 latter latter JJ A34005 838 116 it -PRON- PRP A34005 838 117 hath hath FW A34005 838 118 hitherto hitherto NNP A34005 838 119 been be VBN A34005 838 120 delivered deliver VBN A34005 838 121 in in IN A34005 838 122 our -PRON- PRP$ A34005 838 123 English English NNP A34005 838 124 Books Books NNPS A34005 838 125 doubtfully doubtfully RB A34005 838 126 , , , A34005 838 127 erroneously erroneously RB A34005 838 128 , , , A34005 838 129 or or CC A34005 838 130 not not RB A34005 838 131 sufficiently sufficiently RB A34005 838 132 for for IN A34005 838 133 all all DT A34005 838 134 Cases case NNS A34005 838 135 , , , A34005 838 136 the the DT A34005 838 137 Rules Rules NNPS A34005 838 138 delivered deliver VBD A34005 838 139 being be VBG A34005 838 140 only only RB A34005 838 141 true true JJ A34005 838 142 in in IN A34005 838 143 some some DT A34005 838 144 Cases case NNS A34005 838 145 , , , A34005 838 146 and and CC A34005 838 147 doubtful doubtful JJ A34005 838 148 in in IN A34005 838 149 most most JJS A34005 838 150 , , , A34005 838 151 not not RB A34005 838 152 determining determine VBG A34005 838 153 whether whether IN A34005 838 154 the the DT A34005 838 155 side side NN A34005 838 156 sought seek VBD A34005 838 157 be be VB A34005 838 158 greater great JJR A34005 838 159 or or CC A34005 838 160 less less JJR A34005 838 161 then then RB A34005 838 162 a a DT A34005 838 163 Quadrant Quadrant NNP A34005 838 164 . . . A34005 839 1 The the DT A34005 839 2 Reader reader NN A34005 839 3 may may MD A34005 839 4 observe observe VB A34005 839 5 how how WRB A34005 839 6 necessary necessary JJ A34005 839 7 it -PRON- PRP A34005 839 8 is be VBZ A34005 839 9 to to TO A34005 839 10 have have VB A34005 839 11 such such JJ A34005 839 12 Tables Tables NNPS A34005 839 13 , , , A34005 839 14 as as IN A34005 839 15 have have VBP A34005 839 16 the the DT A34005 839 17 natural natural JJ A34005 839 18 Sines Sines NNPS A34005 839 19 and and CC A34005 839 20 Versed Versed NNP A34005 839 21 Sines Sines NNP A34005 839 22 , , , A34005 839 23 & & CC A34005 839 24 c. c. NNP A34005 839 25 standing stand VBG A34005 839 26 against against IN A34005 839 27 the the DT A34005 839 28 Logarithmical Logarithmical NNP A34005 839 29 Sines Sines NNPS A34005 839 30 , , , A34005 839 31 for for IN A34005 839 32 this this DT A34005 839 33 and and CC A34005 839 34 other other JJ A34005 839 35 following follow VBG A34005 839 36 Proportions proportion NNS A34005 839 37 discovered discover VBN A34005 839 38 by by IN A34005 839 39 my -PRON- PRP$ A34005 839 40 self self NN A34005 839 41 for for IN A34005 839 42 the the DT A34005 839 43 easie easie NN A34005 839 44 calculating calculate VBG A34005 839 45 a a DT A34005 839 46 Table table NN A34005 839 47 of of IN A34005 839 48 hours hour NNS A34005 839 49 and and CC A34005 839 50 Azimuths azimuth NNS A34005 839 51 to to IN A34005 839 52 all all DT A34005 839 53 Altitudes altitude NNS A34005 839 54 , , , A34005 839 55 as as IN A34005 839 56 also also RB A34005 839 57 a a DT A34005 839 58 Tables Tables NNP A34005 839 59 of of IN A34005 839 60 Altitudes altitude NNS A34005 839 61 to to IN A34005 839 62 all all DT A34005 839 63 hours hour NNS A34005 839 64 ; ; : A34005 839 65 but but CC A34005 839 66 as as IN A34005 839 67 yet yet RB A34005 839 68 there there EX A34005 839 69 are be VBP A34005 839 70 none none NN A34005 839 71 such such JJ A34005 839 72 made make VBN A34005 839 73 as as IN A34005 839 74 have have VB A34005 839 75 the the DT A34005 839 76 Versed Versed NNP A34005 839 77 Sines Sines NNPS A34005 839 78 , , , A34005 839 79 but but CC A34005 839 80 will will MD A34005 839 81 in in IN A34005 839 82 due due JJ A34005 839 83 time time NN A34005 839 84 be be VB A34005 839 85 added add VBN A34005 839 86 to to IN A34005 839 87 Mr. Mr. NNP A34005 839 88 Gellibrands Gellibrands NNP A34005 839 89 Tables Tables NNPS A34005 839 90 ; ; , A34005 839 91 in in IN A34005 839 92 the the DT A34005 839 93 interim interim NN A34005 839 94 it -PRON- PRP A34005 839 95 may may MD A34005 839 96 be be VB A34005 839 97 noted note VBN A34005 839 98 , , , A34005 839 99 that that IN A34005 839 100 the the DT A34005 839 101 Residue residue NN A34005 839 102 of of IN A34005 839 103 the the DT A34005 839 104 Natural Natural NNP A34005 839 105 Sine Sine NNP A34005 839 106 of of IN A34005 839 107 an an DT A34005 839 108 Ark Ark NNP A34005 839 109 from from IN A34005 839 110 Radius Radius NNP A34005 839 111 called call VBD A34005 839 112 its -PRON- PRP$ A34005 839 113 Arithmetical Arithmetical NNP A34005 839 114 Complement Complement NNP A34005 839 115 , , , A34005 839 116 is be VBZ A34005 839 117 the the DT A34005 839 118 Versed Versed NNP A34005 839 119 Sine Sine NNP A34005 839 120 of of IN A34005 839 121 that that DT A34005 839 122 Arks Arks NNP A34005 839 123 Complement Complement NNP A34005 839 124 ; ; : A34005 839 125 thus thus RB A34005 839 126 the the DT A34005 839 127 natural natural JJ A34005 839 128 Sine Sine NNP A34005 839 129 of of IN A34005 839 130 40d 40d CD A34005 839 131 is be VBZ A34005 839 132 6427876 6427876 CD A34005 839 133 substracted substracte VBN A34005 839 134 from from IN A34005 839 135 Radius Radius NNP A34005 839 136 , , , A34005 839 137 rests rest VBZ A34005 839 138 3572124 3572124 CD A34005 839 139 , , , A34005 839 140 the the DT A34005 839 141 Versed Versed NNP A34005 839 142 Sine Sine NNP A34005 839 143 of of IN A34005 839 144 50 50 CD A34005 839 145 d. d. NN A34005 839 146 And and CC A34005 839 147 for for IN A34005 839 148 Arks Arks NNP A34005 839 149 above above IN A34005 839 150 90 90 CD A34005 839 151 d d NNS A34005 839 152 we -PRON- PRP A34005 839 153 need need VBP A34005 839 154 no no DT A34005 839 155 natural natural JJ A34005 839 156 Versed Versed NNP A34005 839 157 Sines Sines NNPS A34005 839 158 , , , A34005 839 159 because because IN A34005 839 160 the the DT A34005 839 161 natural natural JJ A34005 839 162 Sine Sine NNP A34005 839 163 of of IN A34005 839 164 any any DT A34005 839 165 Arks Arks NNP A34005 839 166 excess excess NN A34005 839 167 above above IN A34005 839 168 90 90 CD A34005 839 169 d d NN A34005 839 170 added add VBN A34005 839 171 to to IN A34005 839 172 the the DT A34005 839 173 Radius Radius NNP A34005 839 174 is be VBZ A34005 839 175 equal equal JJ A34005 839 176 to to IN A34005 839 177 the the DT A34005 839 178 Versed Versed NNP A34005 839 179 Sine Sine NNP A34005 839 180 of of IN A34005 839 181 the the DT A34005 839 182 said say VBD A34005 839 183 Ark Ark NNP A34005 839 184 , , , A34005 839 185 thus thus RB A34005 839 186 the the DT A34005 839 187 Sine Sine NNP A34005 839 188 of of IN A34005 839 189 40 40 CD A34005 839 190 d d NN A34005 839 191 augmented augment VBN A34005 839 192 by by IN A34005 839 193 the the DT A34005 839 194 Radius Radius NNP A34005 839 195 is be VBZ A34005 839 196 equal equal JJ A34005 839 197 to to IN A34005 839 198 the the DT A34005 839 199 Versed Versed NNP A34005 839 200 Sine Sine NNP A34005 839 201 of of IN A34005 839 202 130 130 CD A34005 839 203 d d NNS A34005 839 204 and and CC A34005 839 205 is be VBZ A34005 839 206 16427876 16427876 CD A34005 839 207 Example example NN A34005 839 208 of of IN A34005 839 209 this this DT A34005 839 210 Case Case NNP A34005 839 211 . . . A34005 840 1 In in IN A34005 840 2 the the DT A34005 840 3 Triangle Triangle NNP A34005 840 4 ☉ ☉ NNP A34005 840 5 Z Z NNP A34005 840 6 P p NN A34005 840 7 let let VBD A34005 840 8 there there EX A34005 840 9 be be VB A34005 840 10 given give VBN A34005 840 11 the the DT A34005 840 12 side side NN A34005 840 13 ☉ ☉ NNPS A34005 840 14 Z z NN A34005 840 15 , , , A34005 840 16 the the DT A34005 840 17 Complement Complement NNP A34005 840 18 of of IN A34005 840 19 the the DT A34005 840 20 Altitude Altitude NNP A34005 840 21 70 70 CD A34005 840 22 d d NNP A34005 840 23 53′ 53′ CD A34005 840 24 and and CC A34005 840 25 the the DT A34005 840 26 side side NN A34005 840 27 Z z NN A34005 840 28 P p NN A34005 840 29 the the DT A34005 840 30 Complement Complement NNP A34005 840 31 of of IN A34005 840 32 the the DT A34005 840 33 Latitude Latitude NNP A34005 840 34 38 38 CD A34005 840 35 d d SYM A34005 840 36 28 28 CD A34005 840 37 n n CC A34005 840 38 with with IN A34005 840 39 the the DT A34005 840 40 angle angle NN A34005 840 41 ☉ ☉ NNPS A34005 840 42 Z Z NNP A34005 840 43 P p NN A34005 840 44 145 145 CD A34005 840 45 d d NN A34005 840 46 the the DT A34005 840 47 Suns Suns NNPS A34005 840 48 Azimuth Azimuth NNP A34005 840 49 from from IN A34005 840 50 the the DT A34005 840 51 North North NNP A34005 840 52 , , , A34005 840 53 to to TO A34005 840 54 find find VB A34005 840 55 the the DT A34005 840 56 side side NN A34005 840 57 ☉ ☉ NNS A34005 840 58 P p NN A34005 840 59 , , , A34005 840 60 the the DT A34005 840 61 Suns Suns NNP A34005 840 62 distance distance NN A34005 840 63 from from IN A34005 840 64 the the DT A34005 840 65 Elevated Elevated NNP A34005 840 66 Pole Pole NNP A34005 840 67 . . . A34005 841 1 Sine Sine NNP A34005 841 2 38 38 CD A34005 841 3 d d SYM A34005 841 4 28 28 CD A34005 841 5 m m CD A34005 841 6 — — : A34005 841 7 97938317 97938317 CD A34005 841 8 Sine Sine NNP A34005 841 9 70 70 CD A34005 841 10 53 53 CD A34005 841 11 — — : A34005 841 12 99753646 99753646 CD A34005 841 13 Sine Sine NNP A34005 841 14 72 72 CD A34005 841 15 30 30 CD A34005 841 16 Log Log NNP A34005 841 17 m m NNP A34005 841 18 dobled doble VBD A34005 841 19 199588390 199588390 CD A34005 841 20 Natural Natural NNP A34005 841 21 Sine Sine NNP A34005 841 22 against against IN A34005 841 23 97280353 97280353 CD A34005 841 24 it -PRON- PRP A34005 841 25 doubled double VBD A34005 841 26 is be VBZ A34005 841 27 10691964 10691964 CD A34005 841 28 Natural Natural NNP A34005 841 29 V V NNP A34005 841 30 Sine Sine NNP A34005 841 31 of of IN A34005 841 32 32 32 CD A34005 841 33 d d SYM A34005 841 34 25 25 CD A34005 841 35 m m NN A34005 841 36 the the DT A34005 841 37 difference difference NN A34005 841 38 of of IN A34005 841 39 the the DT A34005 841 40 sides side NNS A34005 841 41 — — : A34005 841 42 1558280 1558280 CD A34005 841 43 The the DT A34005 841 44 Versed Versed NNP A34005 841 45 Sine Sine NNP A34005 841 46 of of IN A34005 841 47 103 103 CD A34005 841 48 d d NN A34005 841 49 the the DT A34005 841 50 — — : A34005 841 51 12250244 12250244 CD A34005 841 52 side side NN A34005 841 53 sought seek VBD A34005 841 54 , , , A34005 841 55 and and CC A34005 841 56 therefore therefore RB A34005 841 57 the the DT A34005 841 58 Sun Sun NNP A34005 841 59 hath hath NNP A34005 841 60 13 13 CD A34005 841 61 d d NN A34005 841 62 of of IN A34005 841 63 South South NNP A34005 841 64 declination declination NN A34005 841 65 . . . A34005 842 1 Another another DT A34005 842 2 Example Example NNP A34005 842 3 of of IN A34005 842 4 this this DT A34005 842 5 Case Case NNP A34005 842 6 for for IN A34005 842 7 Calculating calculate VBG A34005 842 8 the the DT A34005 842 9 Suns Suns NNPS A34005 842 10 Altitude Altitude NNP A34005 842 11 on on IN A34005 842 12 all all DT A34005 842 13 hours hour NNS A34005 842 14 . . . A34005 843 1 As as IN A34005 843 2 the the DT A34005 843 3 Cube Cube NNP A34005 843 4 of of IN A34005 843 5 the the DT A34005 843 6 Radius Radius NNP A34005 843 7 , , , A34005 843 8 To to IN A34005 843 9 the the DT A34005 843 10 double double JJ A34005 843 11 of of IN A34005 843 12 the the DT A34005 843 13 Rectangle Rectangle NNP A34005 843 14 of of IN A34005 843 15 the the DT A34005 843 16 Cosines Cosines NNPS A34005 843 17 , , , A34005 843 18 both both DT A34005 843 19 of of IN A34005 843 20 the the DT A34005 843 21 Latitude Latitude NNP A34005 843 22 , , , A34005 843 23 and and CC A34005 843 24 of of IN A34005 843 25 the the DT A34005 843 26 Suns Suns NNP A34005 843 27 declination declination NN A34005 843 28 . . . A34005 844 1 So so RB A34005 844 2 is be VBZ A34005 844 3 the the DT A34005 844 4 Square Square NNP A34005 844 5 of of IN A34005 844 6 the the DT A34005 844 7 Sine Sine NNP A34005 844 8 of of IN A34005 844 9 half half PDT A34005 844 10 the the DT A34005 844 11 hour hour NN A34005 844 12 from from IN A34005 844 13 noon noon NN A34005 844 14 , , , A34005 844 15 To to IN A34005 844 16 the the DT A34005 844 17 difference difference NN A34005 844 18 of of IN A34005 844 19 the the DT A34005 844 20 Sines Sines NNPS A34005 844 21 of of IN A34005 844 22 the the DT A34005 844 23 Suns Suns NNP A34005 844 24 Meridian Meridian NNP A34005 844 25 Altitude Altitude NNP A34005 844 26 , , , A34005 844 27 and and CC A34005 844 28 of of IN A34005 844 29 the the DT A34005 844 30 Altitude altitude NN A34005 844 31 sought seek VBD A34005 844 32 . . . A34005 845 1 This this DT A34005 845 2 Canon Canon NNP A34005 845 3 will will MD A34005 845 4 finde finde VB A34005 845 5 two two CD A34005 845 6 Altitudes altitude NNS A34005 845 7 at at IN A34005 845 8 one one CD A34005 845 9 Operation operation NN A34005 845 10 , , , A34005 845 11 and and CC A34005 845 12 will will MD A34005 845 13 have have VB A34005 845 14 very very RB A34005 845 15 little little JJ A34005 845 16 trouble trouble NN A34005 845 17 in in IN A34005 845 18 it -PRON- PRP A34005 845 19 , , , A34005 845 20 the the DT A34005 845 21 double double JJ A34005 845 22 Rectangle Rectangle NNP A34005 845 23 , , , A34005 845 24 that that RB A34005 845 25 is be VBZ A34005 845 26 the the DT A34005 845 27 second second JJ A34005 845 28 tearm tearm NN A34005 845 29 of of IN A34005 845 30 the the DT A34005 845 31 Proportion Proportion NNP A34005 845 32 , , , A34005 845 33 being be VBG A34005 845 34 fixed fix VBN A34005 845 35 for for IN A34005 845 36 that that DT A34005 845 37 Declination declination NN A34005 845 38 . . . A34005 846 1 Add add VB A34005 846 2 the the DT A34005 846 3 Logarithms Logarithms NNP A34005 846 4 of of IN A34005 846 5 the the DT A34005 846 6 Number Number NNP A34005 846 7 two two CD A34005 846 8 , , , A34005 846 9 and and CC A34005 846 10 of of IN A34005 846 11 the the DT A34005 846 12 Cosines Cosines NNPS A34005 846 13 of of IN A34005 846 14 the the DT A34005 846 15 Declination Declination NNP A34005 846 16 and and CC A34005 846 17 Latitude Latitude NNP A34005 846 18 together together RB A34005 846 19 the the DT A34005 846 20 sum sum NN A34005 846 21 may may MD A34005 846 22 be be VB A34005 846 23 called call VBN A34005 846 24 the the DT A34005 846 25 fixed fix VBN A34005 846 26 Logarithm Logarithm NNP A34005 846 27 . . . A34005 847 1 Double double JJ A34005 847 2 the the DT A34005 847 3 Logarithm Logarithm NNP A34005 847 4 of of IN A34005 847 5 the the DT A34005 847 6 Sine Sine NNP A34005 847 7 of of IN A34005 847 8 half half PDT A34005 847 9 the the DT A34005 847 10 hour hour NN A34005 847 11 from from IN A34005 847 12 noon noon NN A34005 847 13 , , , A34005 847 14 and and CC A34005 847 15 add add VB A34005 847 16 it -PRON- PRP A34005 847 17 to to IN A34005 847 18 the the DT A34005 847 19 fixed fixed JJ A34005 847 20 Logarithm Logarithm NNP A34005 847 21 the the DT A34005 847 22 sum sum NN A34005 847 23 rejecting reject VBG A34005 847 24 3 3 CD A34005 847 25 towards towards IN A34005 847 26 the the DT A34005 847 27 left left JJ A34005 847 28 hand hand NN A34005 847 29 , , , A34005 847 30 for for IN A34005 847 31 the the DT A34005 847 32 Cube Cube NNP A34005 847 33 of of IN A34005 847 34 the the DT A34005 847 35 Radius Radius NNP A34005 847 36 is be VBZ A34005 847 37 the the DT A34005 847 38 Logarithm Logarithm NNP A34005 847 39 of of IN A34005 847 40 the the DT A34005 847 41 difference difference NN A34005 847 42 : : : A34005 847 43 Take take VB A34005 847 44 the the DT A34005 847 45 natural natural JJ A34005 847 46 Sine Sine NNP A34005 847 47 that that WDT A34005 847 48 stands stand VBZ A34005 847 49 against against IN A34005 847 50 it -PRON- PRP A34005 847 51 , , , A34005 847 52 and and CC A34005 847 53 substract substract VB A34005 847 54 it -PRON- PRP A34005 847 55 from from IN A34005 847 56 the the DT A34005 847 57 natural natural JJ A34005 847 58 Sine Sine NNP A34005 847 59 of of IN A34005 847 60 the the DT A34005 847 61 Meridian Meridian NNP A34005 847 62 Altitude Altitude NNP A34005 847 63 , , , A34005 847 64 both both DT A34005 847 65 for for IN A34005 847 66 the the DT A34005 847 67 Winter Winter NNP A34005 847 68 and and CC A34005 847 69 Summer Summer NNP A34005 847 70 Declination Declination NNP A34005 847 71 , , , A34005 847 72 and and CC A34005 847 73 there there EX A34005 847 74 remains remain VBZ A34005 847 75 the the DT A34005 847 76 natural natural JJ A34005 847 77 Sines Sines NNPS A34005 847 78 of of IN A34005 847 79 the the DT A34005 847 80 Altitudes Altitudes NNPS A34005 847 81 sought seek VBD A34005 847 82 . . . A34005 848 1 If if IN A34005 848 2 this this DT A34005 848 3 difference difference NN A34005 848 4 can can MD A34005 848 5 not not RB A34005 848 6 be be VB A34005 848 7 substracted substracte VBN A34005 848 8 from from IN A34005 848 9 the the DT A34005 848 10 Sine Sine NNP A34005 848 11 of of IN A34005 848 12 the the DT A34005 848 13 Meridian Meridian NNP A34005 848 14 Altitude Altitude NNP A34005 848 15 , , , A34005 848 16 it -PRON- PRP A34005 848 17 argues argue VBZ A34005 848 18 the the DT A34005 848 19 Sun Sun NNP A34005 848 20 hath hath NN A34005 848 21 no no DT A34005 848 22 Altitude altitude NN A34005 848 23 above above IN A34005 848 24 the the DT A34005 848 25 Horizon Horizon NNP A34005 848 26 in in IN A34005 848 27 this this DT A34005 848 28 Case Case NNP A34005 848 29 substract substract VB A34005 848 30 that that IN A34005 848 31 from from IN A34005 848 32 this this DT A34005 848 33 , , , A34005 848 34 and and CC A34005 848 35 there there EX A34005 848 36 will will MD A34005 848 37 remain remain VB A34005 848 38 the the DT A34005 848 39 Natural Natural NNP A34005 848 40 Sine Sine NNP A34005 848 41 of of IN A34005 848 42 the the DT A34005 848 43 Suns Suns NNPS A34005 848 44 Altitude Altitude NNP A34005 848 45 for for IN A34005 848 46 the the DT A34005 848 47 like like JJ A34005 848 48 hour hour NN A34005 848 49 from from IN A34005 848 50 midnight midnight NN A34005 848 51 in in IN A34005 848 52 Summer Summer NNP A34005 848 53 . . . A34005 849 1 Example example NN A34005 849 2 . . . A34005 850 1 Let let VB A34005 850 2 it -PRON- PRP A34005 850 3 be be VB A34005 850 4 required require VBN A34005 850 5 to to TO A34005 850 6 Calculate calculate VB A34005 850 7 the the DT A34005 850 8 Suns Suns NNPS A34005 850 9 Altitude Altitude NNP A34005 850 10 when when WRB A34005 850 11 he -PRON- PRP A34005 850 12 hath hath VBD A34005 850 13 23d 23d NNP A34005 850 14 31 31 CD A34005 850 15 m m NN A34005 850 16 both both DT A34005 850 17 of of IN A34005 850 18 North North NNP A34005 850 19 and and CC A34005 850 20 South South NNP A34005 850 21 Declination Declination NNP A34005 850 22 for for IN A34005 850 23 our -PRON- PRP$ A34005 850 24 Latitude Latitude NNP A34005 850 25 of of IN A34005 850 26 London London NNP A34005 850 27 at at IN A34005 850 28 2 2 CD A34005 850 29 and and CC A34005 850 30 5 5 CD A34005 850 31 a a DT A34005 850 32 Clock Clock NNP A34005 850 33 in in IN A34005 850 34 the the DT A34005 850 35 afternoon afternoon NN A34005 850 36 , , , A34005 850 37 or or CC A34005 850 38 which which WDT A34005 850 39 is be VBZ A34005 850 40 all all DT A34005 850 41 one one NN A34005 850 42 for for IN A34005 850 43 the the DT A34005 850 44 hours hour NNS A34005 850 45 of of IN A34005 850 46 10 10 CD A34005 850 47 and and CC A34005 850 48 7 7 CD A34005 850 49 in in IN A34005 850 50 the the DT A34005 850 51 morning morning NN A34005 850 52 . . . A34005 851 1 Sine Sine NNP A34005 851 2 38d 38d CD A34005 851 3 28 28 CD A34005 851 4 m m CD A34005 851 5 Compl Compl NNP A34005 851 6 Latitude Latitude NNP A34005 851 7 — — : A34005 851 8 97938317 97938317 CD A34005 851 9 Sine Sine NNP A34005 851 10 of of IN A34005 851 11 66 66 CD A34005 851 12 29 29 CD A34005 851 13 m m CD A34005 851 14 Compl Compl NNP A34005 851 15 Declination Declination NNP A34005 851 16 — — : A34005 851 17 99623428 99623428 CD A34005 851 18 Logarithm Logarithm NNP A34005 851 19 of of IN A34005 851 20 Number Number NNP A34005 851 21 2 2 CD A34005 851 22 is be VBZ A34005 851 23 — — : A34005 851 24 03010300 03010300 CD A34005 851 25 Fixed Fixed NNP A34005 851 26 Number Number NNP A34005 851 27 — — : A34005 851 28 200572045 200572045 CD A34005 851 29 Logm Logm NNP A34005 851 30 of of IN A34005 851 31 Sine Sine NNP A34005 851 32 of of IN A34005 851 33 15d 15d CD A34005 851 34 , , , A34005 851 35 doubled double VBD A34005 851 36 — — : A34005 851 37 188259924 188259924 CD A34005 851 38 Nearest Nearest NNP A34005 851 39 natural natural JJ A34005 851 40 Sine Sine NNP A34005 851 41 against against IN A34005 851 42 it -PRON- PRP A34005 851 43 , , , A34005 851 44 761900 761900 CD A34005 851 45 — — : A34005 851 46 88831969 88831969 CD A34005 851 47 61d 61d CD A34005 851 48 59 59 CD A34005 851 49 m m NNP A34005 851 50 Summer Summer NNP A34005 851 51 Meridian Meridian NNP A34005 851 52 Altitude Altitude NNP A34005 851 53 Natural Natural NNP A34005 851 54 Sine Sine NNP A34005 851 55 — — : A34005 851 56 8828110 8828110 CD A34005 851 57 Substract substract NN A34005 851 58 — — : A34005 851 59 761900 761900 CD A34005 851 60 the the DT A34005 851 61 difference difference NN A34005 851 62 before before IN A34005 851 63 found find VBN A34005 851 64 Rests rest NNS A34005 851 65 — — : A34005 851 66 8066210 8066210 CD A34005 851 67 the the DT A34005 851 68 natural natural JJ A34005 851 69 Sine Sine NNP A34005 851 70 of of IN A34005 851 71 53d 53d NNPS A34005 851 72 46′ 46′ CD A34005 851 73 the the DT A34005 851 74 Summer Summer NNP A34005 851 75 Altitude Altitude NNP A34005 851 76 for for IN A34005 851 77 the the DT A34005 851 78 hours hour NNS A34005 851 79 of of IN A34005 851 80 10 10 CD A34005 851 81 and and CC A34005 851 82 2 2 CD A34005 851 83 14d 14d NNS A34005 851 84 57 57 CD A34005 851 85 m m CD A34005 851 86 Winter Winter NNP A34005 851 87 Meridian Meridian NNP A34005 851 88 Altitude Altitude NNP A34005 851 89 Nat Nat NNP A34005 851 90 Sine Sine NNP A34005 851 91 — — : A34005 851 92 2579760 2579760 CD A34005 851 93 Substract substract VB A34005 851 94 the the DT A34005 851 95 former former JJ A34005 851 96 difference difference NN A34005 851 97 — — : A34005 851 98 761900 761900 CD A34005 851 99 Rests rest NNS A34005 851 100 the the DT A34005 851 101 Natural Natural NNP A34005 851 102 Sine Sine NNP A34005 851 103 of of IN A34005 851 104 10d 10d CD A34005 851 105 27 27 CD A34005 851 106 m m NN A34005 851 107 the the DT A34005 851 108 — — : A34005 851 109 1817860 1817860 CD A34005 851 110 Winter Winter NNP A34005 851 111 Altitude Altitude NNP A34005 851 112 for for IN A34005 851 113 the the DT A34005 851 114 hours hour NNS A34005 851 115 of of IN A34005 851 116 two two CD A34005 851 117 and and CC A34005 851 118 ten ten CD A34005 851 119 . . . A34005 852 1 The the DT A34005 852 2 same same JJ A34005 852 3 day day NN A34005 852 4 for for IN A34005 852 5 the the DT A34005 852 6 Altitude Altitude NNP A34005 852 7 of of IN A34005 852 8 5 5 CD A34005 852 9 and and CC A34005 852 10 7 7 CD A34005 852 11 . . . A34005 853 1 Fixed fix VBN A34005 853 2 number number NN A34005 853 3 — — : A34005 853 4 200572045 200572045 CD A34005 853 5 Sine sine NN A34005 853 6 of of IN A34005 853 7 37d 37d NNPS A34005 853 8 30 30 CD A34005 853 9 m m NN A34005 853 10 Logm Logm NNP A34005 853 11 doubled double VBD A34005 853 12 — — : A34005 853 13 195688942 195688942 CD A34005 853 14 Natural Natural NNP A34005 853 15 Sine Sine NNP A34005 853 16 against against IN A34005 853 17 it -PRON- PRP A34005 853 18 4226183 4226183 CD A34005 853 19 — — : A34005 853 20 96260987 96260987 CD A34005 853 21 Winter Winter NNP A34005 853 22 Meridian Meridian NNP A34005 853 23 Altitude Altitude NNP A34005 853 24 , , , A34005 853 25 as as IN A34005 853 26 before before IN A34005 853 27 Sine Sine NNP A34005 853 28 2579760 2579760 CD A34005 853 29 Rests Rests NNPS A34005 853 30 — — : A34005 853 31 1646423 1646423 CD A34005 853 32 the the DT A34005 853 33 natural natural JJ A34005 853 34 Sine Sine NNP A34005 853 35 of of IN A34005 853 36 9d 9d NNP A34005 853 37 29 29 CD A34005 853 38 m m NN A34005 853 39 Summer Summer NNP A34005 853 40 Altitude Altitude NNP A34005 853 41 for for IN A34005 853 42 5 5 CD A34005 853 43 in in IN A34005 853 44 the the DT A34005 853 45 morning morning NN A34005 853 46 , , , A34005 853 47 or or CC A34005 853 48 7 7 CD A34005 853 49 in in IN A34005 853 50 the the DT A34005 853 51 evening evening NN A34005 853 52 . . . A34005 854 1 Natural Natural NNP A34005 854 2 Sine Sine NNP A34005 854 3 . . . A34005 855 1 Summer Summer NNP A34005 855 2 Meridian Meridian NNP A34005 855 3 Altitude Altitude NNP A34005 855 4 , , , A34005 855 5 as as IN A34005 855 6 before before RB A34005 855 7 — — : A34005 855 8 8828110 8828110 CD A34005 855 9 The the DT A34005 855 10 former former JJ A34005 855 11 difference difference NN A34005 855 12 — — : A34005 855 13 4226183 4226183 CD A34005 855 14 Rests rest NNS A34005 855 15 the the DT A34005 855 16 Natural Natural NNP A34005 855 17 Sine Sine NNP A34005 855 18 of of IN A34005 855 19 27d 27d CD A34005 855 20 24 24 CD A34005 855 21 m m CD A34005 855 22 — — : A34005 855 23 4601927 4601927 CD A34005 855 24 The the DT A34005 855 25 Summer Summer NNP A34005 855 26 Altitude Altitude NNP A34005 855 27 for for IN A34005 855 28 7 7 CD A34005 855 29 in in IN A34005 855 30 the the DT A34005 855 31 morning morning NN A34005 855 32 , , , A34005 855 33 or or CC A34005 855 34 5 5 CD A34005 855 35 in in IN A34005 855 36 the the DT A34005 855 37 afternoon afternoon NN A34005 855 38 . . . A34005 856 1 The the DT A34005 856 2 former former JJ A34005 856 3 Case Case NNP A34005 856 4 may may MD A34005 856 5 also also RB A34005 856 6 be be VB A34005 856 7 performed perform VBN A34005 856 8 at at IN A34005 856 9 two two CD A34005 856 10 Operations Operations NNPS A34005 856 11 by by IN A34005 856 12 help help NN A34005 856 13 of of IN A34005 856 14 a a DT A34005 856 15 Perpendicular Perpendicular NNP A34005 856 16 supposed suppose VBN A34005 856 17 , , , A34005 856 18 without without IN A34005 856 19 the the DT A34005 856 20 help help NN A34005 856 21 of of IN A34005 856 22 Natural Natural NNP A34005 856 23 Tables Tables NNPS A34005 856 24 . . . A34005 857 1 1 1 LS A34005 857 2 . . . A34005 858 1 If if IN A34005 858 2 both both DT A34005 858 3 Sides side NNS A34005 858 4 are be VBP A34005 858 5 equal equal JJ A34005 858 6 , , , A34005 858 7 As as IN A34005 858 8 the the DT A34005 858 9 Radius Radius NNP A34005 858 10 , , , A34005 858 11 To to IN A34005 858 12 the the DT A34005 858 13 sine sine NN A34005 858 14 of of IN A34005 858 15 the the DT A34005 858 16 Common common JJ A34005 858 17 side side NN A34005 858 18 : : : A34005 858 19 So so CC A34005 858 20 the the DT A34005 858 21 Sine Sine NNP A34005 858 22 of of IN A34005 858 23 half half PDT A34005 858 24 the the DT A34005 858 25 Angle Angle NNP A34005 858 26 , , , A34005 858 27 To to IN A34005 858 28 the the DT A34005 858 29 Sine Sine NNP A34005 858 30 of of IN A34005 858 31 half half PDT A34005 858 32 the the DT A34005 858 33 side side NN A34005 858 34 sought seek VBN A34005 858 35 . . . A34005 859 1 2 2 LS A34005 859 2 . . . A34005 860 1 If if IN A34005 860 2 one one CD A34005 860 3 of of IN A34005 860 4 the the DT A34005 860 5 sides side NNS A34005 860 6 be be VBP A34005 860 7 a a DT A34005 860 8 Quadrant Quadrant NNP A34005 860 9 , , , A34005 860 10 this this DT A34005 860 11 by by IN A34005 860 12 continving continve VBG A34005 860 13 the the DT A34005 860 14 other other JJ A34005 860 15 side side NN A34005 860 16 to to IN A34005 860 17 a a DT A34005 860 18 Quadran Quadran NNP A34005 860 19 ( ( -LRB- A34005 860 20 as as IN A34005 860 21 shall shall MD A34005 860 22 afterwards afterwards RB A34005 860 23 be be VB A34005 860 24 shewed shew VBN A34005 860 25 ) ) -RRB- A34005 860 26 wil wil NNP A34005 860 27 become become VBP A34005 860 28 a a DT A34005 860 29 Case case NN A34005 860 30 of of IN A34005 860 31 right right NN A34005 860 32 angled angle VBN A34005 860 33 Sphoericala Sphoericala NNP A34005 860 34 Triangles Triangles NNPS A34005 860 35 , , , A34005 860 36 in in IN A34005 860 37 which which WDT A34005 860 38 besides besides IN A34005 860 39 the the DT A34005 860 40 right right JJ A34005 860 41 angle angle NN A34005 860 42 , , , A34005 860 43 instead instead RB A34005 860 44 of of IN A34005 860 45 the the DT A34005 860 46 quadrantal quadrantal JJ A34005 860 47 side side NN A34005 860 48 , , , A34005 860 49 there there EX A34005 860 50 will will MD A34005 860 51 be be VB A34005 860 52 given give VBN A34005 860 53 a a DT A34005 860 54 Legg Legg NNP A34005 860 55 , , , A34005 860 56 and and CC A34005 860 57 its -PRON- PRP$ A34005 860 58 adjacent adjacent JJ A34005 860 59 angle angle NN A34005 860 60 to to TO A34005 860 61 find find VB A34005 860 62 the the DT A34005 860 63 other other JJ A34005 860 64 angle angle NN A34005 860 65 by by IN A34005 860 66 4 4 CD A34005 860 67 Case Case NNP A34005 860 68 of of IN A34005 860 69 right right RB A34005 860 70 angled angle VBN A34005 860 71 Sphoerical Sphoerical NNP A34005 860 72 Triangles Triangles NNPS A34005 860 73 ; ; : A34005 860 74 and and CC A34005 860 75 so so RB A34005 860 76 if if IN A34005 860 77 the the DT A34005 860 78 angle angle NN A34005 860 79 included include VBN A34005 860 80 were be VBD A34005 860 81 90d 90d NNS A34005 860 82 it -PRON- PRP A34005 860 83 would would MD A34005 860 84 be be VB A34005 860 85 a a DT A34005 860 86 Case case NN A34005 860 87 of of IN A34005 860 88 right right NN A34005 860 89 angled angle VBN A34005 860 90 Sphoerical Sphoerical NNP A34005 860 91 Triangles Triangles NNPS A34005 860 92 , , , A34005 860 93 in in IN A34005 860 94 which which WDT A34005 860 95 besides besides IN A34005 860 96 the the DT A34005 860 97 right right JJ A34005 860 98 angle angle NN A34005 860 99 , , , A34005 860 100 there there EX A34005 860 101 would would MD A34005 860 102 be be VB A34005 860 103 given give VBN A34005 860 104 both both DT A34005 860 105 the the DT A34005 860 106 Leggs Leggs NNP A34005 860 107 or or CC A34005 860 108 Sides Sides NNPS A34005 860 109 to to TO A34005 860 110 find find VB A34005 860 111 the the DT A34005 860 112 Hipotenusal Hipotenusal NNP A34005 860 113 . . . A34005 861 1 3 3 LS A34005 861 2 . . . A34005 862 1 In in IN A34005 862 2 all all DT A34005 862 3 other other JJ A34005 862 4 Cases case NNS A34005 862 5 one one CD A34005 862 6 or or CC A34005 862 7 both both DT A34005 862 8 of of IN A34005 862 9 the the DT A34005 862 10 including include VBG A34005 862 11 Sides side NNS A34005 862 12 being be VBG A34005 862 13 less less JJR A34005 862 14 then then RB A34005 862 15 Quadrants Quadrants NNPS A34005 862 16 , , , A34005 862 17 it -PRON- PRP A34005 862 18 will will MD A34005 862 19 hold hold VB A34005 862 20 , , , A34005 862 21 As as IN A34005 862 22 the the DT A34005 862 23 Radius Radius NNP A34005 862 24 , , , A34005 862 25 To to IN A34005 862 26 the the DT A34005 862 27 Cosine Cosine NNP A34005 862 28 of of IN A34005 862 29 the the DT A34005 862 30 angle angle NN A34005 862 31 included include VBN A34005 862 32 : : : A34005 862 33 So so RB A34005 862 34 the the DT A34005 862 35 tangent tangent NN A34005 862 36 of of IN A34005 862 37 the the DT A34005 862 38 lesser less JJR A34005 862 39 side side NN A34005 862 40 , , , A34005 862 41 To to IN A34005 862 42 the the DT A34005 862 43 tangent tangent NN A34005 862 44 of of IN A34005 862 45 a a DT A34005 862 46 fourth fourth JJ A34005 862 47 Ark Ark NNP A34005 862 48 , , , A34005 862 49 If if IN A34005 862 50 the the DT A34005 862 51 angle angle NN A34005 862 52 included include VBD A34005 862 53 , , , A34005 862 54 be be VB A34005 862 55 less less JJR A34005 862 56 then then RB A34005 862 57 90d 90d NNS A34005 862 58 substract substract VB A34005 862 59 the the DT A34005 862 60 4 4 CD A34005 862 61 ● ● SYM A34005 862 62 h h NN A34005 862 63 Ark Ark NNP A34005 862 64 from from IN A34005 862 65 the the DT A34005 862 66 other other JJ A34005 862 67 side side NN A34005 862 68 ; ; : A34005 862 69 but but CC A34005 862 70 if if IN A34005 862 71 it -PRON- PRP A34005 862 72 be be VBP A34005 862 73 more more JJR A34005 862 74 from from IN A34005 862 75 the the DT A34005 862 76 other other JJ A34005 862 77 sides side NNS A34005 862 78 Complement Complement NNP A34005 862 79 to to IN A34005 862 80 180d 180d NNPS A34005 862 81 , , , A34005 862 82 The the DT A34005 862 83 remainder remainder NN A34005 862 84 is be VBZ A34005 862 85 called call VBN A34005 862 86 the the DT A34005 862 87 Residual Residual NNP A34005 862 88 Ark. Arkansas NNP A34005 863 1 Then then RB A34005 863 2 , , , A34005 863 3 As as IN A34005 863 4 the the DT A34005 863 5 Cosine Cosine NNP A34005 863 6 of of IN A34005 863 7 the the DT A34005 863 8 4th 4th JJ A34005 863 9 Ark Ark NNP A34005 863 10 , , , A34005 863 11 To to IN A34005 863 12 the the DT A34005 863 13 Cosine Cosine NNP A34005 863 14 of of IN A34005 863 15 the the DT A34005 863 16 Ark Ark NNP A34005 863 17 remaining remain VBG A34005 863 18 : : : A34005 863 19 So so CC A34005 863 20 the the DT A34005 863 21 Cosine Cosine NNP A34005 863 22 of of IN A34005 863 23 the the DT A34005 863 24 lesser less JJR A34005 863 25 side side NN A34005 863 26 , , , A34005 863 27 To to IN A34005 863 28 the the DT A34005 863 29 Cosine Cosine NNP A34005 863 30 of of IN A34005 863 31 the the DT A34005 863 32 side side NN A34005 863 33 sought seek VBD A34005 863 34 . . . A34005 864 1 The the DT A34005 864 2 side side NN A34005 864 3 sought seek VBN A34005 864 4 may may MD A34005 864 5 be be VB A34005 864 6 greater great JJR A34005 864 7 then then RB A34005 864 8 a a DT A34005 864 9 Quadrant Quadrant NNP A34005 864 10 , , , A34005 864 11 and and CC A34005 864 12 so so RB A34005 864 13 be be VB A34005 864 14 doubtfull doubtfull JJ A34005 864 15 , , , A34005 864 16 but but CC A34005 864 17 we -PRON- PRP A34005 864 18 may may MD A34005 864 19 determine determine VB A34005 864 20 , , , A34005 864 21 That that IN A34005 864 22 when when WRB A34005 864 23 the the DT A34005 864 24 Leggs Leggs NNP A34005 864 25 are be VBP A34005 864 26 of of IN A34005 864 27 the the DT A34005 864 28 same same JJ A34005 864 29 kind kind NN A34005 864 30 , , , A34005 864 31 and and CC A34005 864 32 the the DT A34005 864 33 angle angle NN A34005 864 34 comprehended comprehend VBD A34005 864 35 Acute Acute NNP A34005 864 36 , , , A34005 864 37 the the DT A34005 864 38 side side NN A34005 864 39 sought seek VBD A34005 864 40 is be VBZ A34005 864 41 less less JJR A34005 864 42 then then RB A34005 864 43 a a DT A34005 864 44 Quadrant Quadrant NNP A34005 864 45 . . . A34005 865 1 And and CC A34005 865 2 when when WRB A34005 865 3 the the DT A34005 865 4 Leggs Leggs NNP A34005 865 5 or or CC A34005 865 6 containing contain VBG A34005 865 7 Sides side NNS A34005 865 8 are be VBP A34005 865 9 of of IN A34005 865 10 a a DT A34005 865 11 different different JJ A34005 865 12 kind kind NN A34005 865 13 , , , A34005 865 14 and and CC A34005 865 15 the the DT A34005 865 16 angle angle NN A34005 865 17 comprehended comprehend VBD A34005 865 18 Obtuse Obtuse NNP A34005 865 19 , , , A34005 865 20 the the DT A34005 865 21 side side NN A34005 865 22 sought seek VBN A34005 865 23 is be VBZ A34005 865 24 greater great JJR A34005 865 25 then then RB A34005 865 26 a a DT A34005 865 27 Quadrant Quadrant NNP A34005 865 28 . . . A34005 866 1 Or or CC A34005 866 2 it -PRON- PRP A34005 866 3 may may MD A34005 866 4 be be VB A34005 866 5 determined determine VBN A34005 866 6 from from IN A34005 866 7 the the DT A34005 866 8 affection affection NN A34005 866 9 of of IN A34005 866 10 the the DT A34005 866 11 Residual Residual NNP A34005 866 12 Ark Ark NNP A34005 866 13 in in IN A34005 866 14 all all DT A34005 866 15 Cases case NNS A34005 866 16 . . . A34005 867 1 When when WRB A34005 867 2 the the DT A34005 867 3 contained contain VBN A34005 867 4 angle angle NN A34005 867 5 is be VBZ A34005 867 6 acute acute JJ A34005 867 7 , , , A34005 867 8 and and CC A34005 867 9 the the DT A34005 867 10 residual residual JJ A34005 867 11 Ark Ark NNP A34005 867 12 more more RBR A34005 867 13 then then RB A34005 867 14 90d 90d NNS A34005 867 15 , , , A34005 867 16 or or CC A34005 867 17 when when WRB A34005 867 18 the the DT A34005 867 19 said say VBN A34005 867 20 angle angle NN A34005 867 21 is be VBZ A34005 867 22 Obtuse Obtuse NNP A34005 867 23 , , , A34005 867 24 and and CC A34005 867 25 the the DT A34005 867 26 residual residual JJ A34005 867 27 Ark Ark NNP A34005 867 28 less less RBR A34005 867 29 then then RB A34005 867 30 a a DT A34005 867 31 Quadrant Quadrant NNP A34005 867 32 , , , A34005 867 33 the the DT A34005 867 34 side side NN A34005 867 35 sought seek VBN A34005 867 36 is be VBZ A34005 867 37 greater great JJR A34005 867 38 then then RB A34005 867 39 a a DT A34005 867 40 Quadrant Quadrant NNP A34005 867 41 , , , A34005 867 42 in in IN A34005 867 43 all all DT A34005 867 44 other other JJ A34005 867 45 Cases case NNS A34005 867 46 less less RBR A34005 867 47 . . . A34005 868 1 Example example NN A34005 868 2 . . . A34005 869 1 In in IN A34005 869 2 the the DT A34005 869 3 Triangle Triangle NNP A34005 869 4 ☉ ☉ NNP A34005 869 5 Z Z NNP A34005 869 6 P P NNP A34005 869 7 , , , A34005 869 8 let let VB A34005 869 9 there there EX A34005 869 10 be be VB A34005 869 11 given give VBN A34005 869 12 Z Z NNP A34005 869 13 P p NN A34005 869 14 , , , A34005 869 15 and and CC A34005 869 16 ☉ ☉ NNP A34005 869 17 Z Z NNP A34005 869 18 with with IN A34005 869 19 the the DT A34005 869 20 angle angle NN A34005 869 21 at at IN A34005 869 22 Z z NN A34005 869 23 , , , A34005 869 24 to to TO A34005 869 25 find find VB A34005 869 26 the the DT A34005 869 27 side side NN A34005 869 28 ☉ ☉ NNS A34005 869 29 P p NN A34005 869 30 , , , A34005 869 31 the the DT A34005 869 32 Suns Suns NNP A34005 869 33 distance distance NN A34005 869 34 from from IN A34005 869 35 the the DT A34005 869 36 Elevated Elevated NNP A34005 869 37 - - HYPH A34005 869 38 Pole Pole NNP A34005 869 39 . . . A34005 870 1 angle angle NNP A34005 870 2 included include VBD A34005 870 3 145d 145d NNPS A34005 870 4 Logm Logm NNP A34005 870 5 Or or CC A34005 870 6 , , , A34005 870 7 35 35 CD A34005 870 8 Compl compl JJ A34005 870 9 55d 55d CD A34005 870 10 Sine Sine NNP A34005 870 11 — — : A34005 870 12 99133645 99133645 CD A34005 870 13 Tangent tangent NN A34005 870 14 of of IN A34005 870 15 38 38 CD A34005 870 16 28′ 28′ CD A34005 870 17 lesser less JJR A34005 870 18 side side NN A34005 870 19 — — : A34005 870 20 99000865 99000865 CD A34005 870 21 Tangent Tangent NNP A34005 870 22 33d 33d NNPS A34005 870 23 , , , A34005 870 24 3′ 3′ CD A34005 870 25 — — : A34005 870 26 98134510 98134510 CD A34005 870 27 Compl Compl NNP A34005 870 28 ☉ ☉ NNP A34005 870 29 P p NN A34005 870 30 to to IN A34005 870 31 180d 180d NNPS A34005 870 32 is be VBZ A34005 870 33 109 109 CD A34005 870 34 7 7 CD A34005 870 35 The the DT A34005 870 36 Ark Ark NNP A34005 870 37 remaining remain VBG A34005 870 38 or or CC A34005 870 39 differ differ VBP A34005 870 40 : : : A34005 870 41 76d 76d NNS A34005 870 42 4 4 CD A34005 870 43 m m NNP A34005 870 44 Cosine Cosine NNP A34005 870 45 — — : A34005 870 46 93816434 93816434 CD A34005 870 47 Lesser less JJR A34005 870 48 side side NN A34005 870 49 — — : A34005 870 50 51 51 CD A34005 870 51 32 32 CD A34005 870 52 Cosine Cosine NNP A34005 870 53 — — : A34005 870 54 98937452 98937452 CD A34005 870 55 192753886 192753886 CD A34005 870 56 Ark Ark NNP A34005 870 57 found find VBD A34005 870 58 — — : A34005 870 59 33d 33d ADD A34005 870 60 3 3 CD A34005 870 61 m m NNP A34005 870 62 Cosine Cosine NNP A34005 870 63 — — : A34005 870 64 99233450 99233450 CD A34005 870 65 Sine Sine NNP A34005 870 66 13 13 CD A34005 870 67 — — : A34005 870 68 93520436 93520436 CD A34005 870 69 The the DT A34005 870 70 Complement Complement NNP A34005 870 71 hereof hereof NN A34005 870 72 77 77 CD A34005 870 73 d d NN A34005 870 74 should should MD A34005 870 75 be be VB A34005 870 76 the the DT A34005 870 77 side side NN A34005 870 78 fought fight VBN A34005 870 79 , , , A34005 870 80 but but CC A34005 870 81 because because IN A34005 870 82 the the DT A34005 870 83 angle angle NN A34005 870 84 was be VBD A34005 870 85 Obtuse Obtuse NNP A34005 870 86 , , , A34005 870 87 and and CC A34005 870 88 the the DT A34005 870 89 residual residual JJ A34005 870 90 Ark Ark NNP A34005 870 91 less less RBR A34005 870 92 then then RB A34005 870 93 a a DT A34005 870 94 Quadrant Quadrant NNP A34005 870 95 , , , A34005 870 96 the the DT A34005 870 97 side side NN A34005 870 98 sought seek VBD A34005 870 99 is be VBZ A34005 870 100 greater great JJR A34005 870 101 , , , A34005 870 102 and and CC A34005 870 103 therefore therefore RB A34005 870 104 103 103 CD A34005 870 105 d d NN A34005 870 106 the the DT A34005 870 107 Complement Complement NNP A34005 870 108 hereof hereof NN A34005 870 109 is be VBZ A34005 870 110 the the DT A34005 870 111 side side NN A34005 870 112 sought seek VBN A34005 870 113 . . . A34005 871 1 This this DT A34005 871 2 Case Case NNP A34005 871 3 & & CC A34005 871 4 the the DT A34005 871 5 Converse converse NN A34005 871 6 of of IN A34005 871 7 it -PRON- PRP A34005 871 8 being be VBG A34005 871 9 the the DT A34005 871 10 next next JJ A34005 871 11 Case Case NNP A34005 871 12 , , , A34005 871 13 I -PRON- PRP A34005 871 14 have have VBP A34005 871 15 thus thus RB A34005 871 16 setled setle VBN A34005 871 17 to to TO A34005 871 18 apply apply VB A34005 871 19 the the DT A34005 871 20 to to IN A34005 871 21 Logarithmical Logarithmical NNP A34005 871 22 Tables Tables NNPS A34005 871 23 only only RB A34005 871 24 , , , A34005 871 25 in in IN A34005 871 26 Case case NN A34005 871 27 the the DT A34005 871 28 natural natural JJ A34005 871 29 ones one NNS A34005 871 30 were be VBD A34005 871 31 wanting want VBG A34005 871 32 , , , A34005 871 33 being be VBG A34005 871 34 all all PDT A34005 871 35 the the DT A34005 871 36 other other JJ A34005 871 37 Cases case NNS A34005 871 38 are be VBP A34005 871 39 thereto thereto NN A34005 871 40 fitted fit VBD A34005 871 41 ; ; : A34005 871 42 and and CC A34005 871 43 as as IN A34005 871 44 the the DT A34005 871 45 trouble trouble NN A34005 871 46 about about IN A34005 871 47 the the DT A34005 871 48 Cadence Cadence NNP A34005 871 49 of of IN A34005 871 50 a a DT A34005 871 51 Perpendicular Perpendicular NNP A34005 871 52 is be VBZ A34005 871 53 here here RB A34005 871 54 shunned shun VBN A34005 871 55 , , , A34005 871 56 without without IN A34005 871 57 so so RB A34005 871 58 much much RB A34005 871 59 as as IN A34005 871 60 the the DT A34005 871 61 name name NN A34005 871 62 of of IN A34005 871 63 it -PRON- PRP A34005 871 64 ; ; : A34005 871 65 so so CC A34005 871 66 may may MD A34005 871 67 it -PRON- PRP A34005 871 68 be be VB A34005 871 69 done do VBN A34005 871 70 in in IN A34005 871 71 all all PDT A34005 871 72 the the DT A34005 871 73 rest rest NN A34005 871 74 of of IN A34005 871 75 the the DT A34005 871 76 Oblique Oblique NNP A34005 871 77 Cases Cases NNPS A34005 871 78 , , , A34005 871 79 which which WDT A34005 871 80 I -PRON- PRP A34005 871 81 had have VBD A34005 871 82 so so RB A34005 871 83 fitted fit VBN A34005 871 84 up up RP A34005 871 85 for for IN A34005 871 86 my -PRON- PRP$ A34005 871 87 own own JJ A34005 871 88 use use NN A34005 871 89 ; ; : A34005 871 90 but but CC A34005 871 91 forbear forbear VB A34005 871 92 to to TO A34005 871 93 trouble trouble NN A34005 871 94 the the DT A34005 871 95 Reader reader NN A34005 871 96 with with IN A34005 871 97 them -PRON- PRP A34005 871 98 , , , A34005 871 99 apprehending apprehend VBG A34005 871 100 these these DT A34005 871 101 to to TO A34005 871 102 be be VB A34005 871 103 better well JJR A34005 871 104 , , , A34005 871 105 and and CC A34005 871 106 that that IN A34005 871 107 he -PRON- PRP A34005 871 108 would would MD A34005 871 109 not not RB A34005 871 110 willingly willingly RB A34005 871 111 Calculate calculate VB A34005 871 112 for for IN A34005 871 113 a a DT A34005 871 114 portion portion NN A34005 871 115 of of IN A34005 871 116 an an DT A34005 871 117 angle angle NN A34005 871 118 , , , A34005 871 119 or or CC A34005 871 120 a a DT A34005 871 121 Segment Segment NNP A34005 871 122 of of IN A34005 871 123 a a DT A34005 871 124 Side side NN A34005 871 125 , , , A34005 871 126 in in IN A34005 871 127 order order NN A34005 871 128 to to IN A34005 871 129 the the DT A34005 871 130 finding finding NN A34005 871 131 out out RP A34005 871 132 the the DT A34005 871 133 thing thing NN A34005 871 134 sought seek VBN A34005 871 135 , , , A34005 871 136 when when WRB A34005 871 137 with with IN A34005 871 138 as as RB A34005 871 139 little little JJ A34005 871 140 trouble trouble NN A34005 871 141 he -PRON- PRP A34005 871 142 may may MD A34005 871 143 come come VB A34005 871 144 by by IN A34005 871 145 it -PRON- PRP A34005 871 146 , , , A34005 871 147 and and CC A34005 871 148 yet yet RB A34005 871 149 Calculate calculate VB A34005 871 150 always always RB A34005 871 151 either either CC A34005 871 152 for for IN A34005 871 153 a a DT A34005 871 154 side side NN A34005 871 155 or or CC A34005 871 156 an an DT A34005 871 157 angle angle NN A34005 871 158 , , , A34005 871 159 one one CD A34005 871 160 of of IN A34005 871 161 the the DT A34005 871 162 six six CD A34005 871 163 principal principal JJ A34005 871 164 parts part NNS A34005 871 165 of of IN A34005 871 166 the the DT A34005 871 167 Triangle Triangle NNP A34005 871 168 . . . A34005 872 1 Otherwise otherwise RB A34005 872 2 for for IN A34005 872 3 Instruments Instruments NNPS A34005 872 4 . . . A34005 873 1 As as IN A34005 873 2 the the DT A34005 873 3 Diameter Diameter NNP A34005 873 4 , , , A34005 873 5 To to IN A34005 873 6 the the DT A34005 873 7 difference difference NN A34005 873 8 of of IN A34005 873 9 the the DT A34005 873 10 Versed Versed NNP A34005 873 11 Sines Sines NNPS A34005 873 12 of of IN A34005 873 13 the the DT A34005 873 14 sum sum NN A34005 873 15 , , , A34005 873 16 and and CC A34005 873 17 of of IN A34005 873 18 the the DT A34005 873 19 difference difference NN A34005 873 20 of of IN A34005 873 21 any any DT A34005 873 22 two two CD A34005 873 23 sides side NNS A34005 873 24 , , , A34005 873 25 including include VBG A34005 873 26 an an DT A34005 873 27 Angle Angle NNP A34005 873 28 . . . A34005 874 1 Or or CC A34005 874 2 , , , A34005 874 3 As as IN A34005 874 4 the the DT A34005 874 5 Cosecant Cosecant NNP A34005 874 6 of of IN A34005 874 7 one one CD A34005 874 8 of of IN A34005 874 9 the the DT A34005 874 10 including include VBG A34005 874 11 Sides Sides NNPS A34005 874 12 , , , A34005 874 13 Is be VBZ A34005 874 14 to to IN A34005 874 15 the the DT A34005 874 16 Sine Sine NNP A34005 874 17 of of IN A34005 874 18 the the DT A34005 874 19 other other JJ A34005 874 20 side side NN A34005 874 21 : : : A34005 874 22 So so RB A34005 874 23 is be VBZ A34005 874 24 the the DT A34005 874 25 Versed Versed NNP A34005 874 26 Sine Sine NNP A34005 874 27 of of IN A34005 874 28 the the DT A34005 874 29 angle angle NN A34005 874 30 included include VBN A34005 874 31 . . . A34005 875 1 To to IN A34005 875 2 the the DT A34005 875 3 difference difference NN A34005 875 4 of of IN A34005 875 5 the the DT A34005 875 6 Versed Versed NNP A34005 875 7 Sines Sines NNPS A34005 875 8 of of IN A34005 875 9 the the DT A34005 875 10 Ark Ark NNP A34005 875 11 of of IN A34005 875 12 difference difference NN A34005 875 13 between between IN A34005 875 14 the the DT A34005 875 15 two two CD A34005 875 16 including include VBG A34005 875 17 Sides Sides NNPS A34005 875 18 , , , A34005 875 19 and and CC A34005 875 20 of of IN A34005 875 21 the the DT A34005 875 22 third third JJ A34005 875 23 side side NN A34005 875 24 sought seek VBD A34005 875 25 , , , A34005 875 26 Which which WDT A34005 875 27 difference difference NN A34005 875 28 added add VBD A34005 875 29 to to IN A34005 875 30 the the DT A34005 875 31 Versed Versed NNP A34005 875 32 Sine Sine NNP A34005 875 33 of of IN A34005 875 34 the the DT A34005 875 35 difference difference NN A34005 875 36 of of IN A34005 875 37 the the DT A34005 875 38 Leggs Leggs NNP A34005 875 39 , , , A34005 875 40 makes make VBZ A34005 875 41 the the DT A34005 875 42 Versed Versed NNP A34005 875 43 Sine Sine NNP A34005 875 44 of of IN A34005 875 45 the the DT A34005 875 46 side side NN A34005 875 47 sought seek VBD A34005 875 48 . . . A34005 876 1 And and CC A34005 876 2 so so RB A34005 876 3 is be VBZ A34005 876 4 the the DT A34005 876 5 Versed Versed NNP A34005 876 6 Sine Sine NNP A34005 876 7 of of IN A34005 876 8 the the DT A34005 876 9 contained contain VBN A34005 876 10 angles angle NNS A34005 876 11 Complement Complement NNP A34005 876 12 to to IN A34005 876 13 180d 180d NNS A34005 876 14 To to IN A34005 876 15 the the DT A34005 876 16 difference difference NN A34005 876 17 of of IN A34005 876 18 the the DT A34005 876 19 Versed Versed NNP A34005 876 20 Sines Sines NNPS A34005 876 21 of of IN A34005 876 22 the the DT A34005 876 23 sum sum NN A34005 876 24 of of IN A34005 876 25 the the DT A34005 876 26 Leggs Leggs NNP A34005 876 27 , , , A34005 876 28 and and CC A34005 876 29 of of IN A34005 876 30 the the DT A34005 876 31 side side NN A34005 876 32 sought seek VBD A34005 876 33 , , , A34005 876 34 which which WDT A34005 876 35 substracted substracte VBD A34005 876 36 from from IN A34005 876 37 the the DT A34005 876 38 Versed Versed NNP A34005 876 39 Sine Sine NNP A34005 876 40 of of IN A34005 876 41 the the DT A34005 876 42 said say VBN A34005 876 43 sum sum NN A34005 876 44 , , , A34005 876 45 there there EX A34005 876 46 remains remain VBZ A34005 876 47 the the DT A34005 876 48 Versed versed JJ A34005 876 49 sine sine NN A34005 876 50 of of IN A34005 876 51 the the DT A34005 876 52 side side NN A34005 876 53 sought seek VBD A34005 876 54 , , , A34005 876 55 Here here RB A34005 876 56 note note VB A34005 876 57 , , , A34005 876 58 that that IN A34005 876 59 the the DT A34005 876 60 same same JJ A34005 876 61 Versed Versed NNP A34005 876 62 Sine Sine NNP A34005 876 63 is be VBZ A34005 876 64 common common JJ A34005 876 65 to to IN A34005 876 66 an an DT A34005 876 67 Ark Ark NNP A34005 876 68 greater great JJR A34005 876 69 then then RB A34005 876 70 180 180 CD A34005 876 71 d d NNS A34005 876 72 , , , A34005 876 73 and and CC A34005 876 74 to to IN A34005 876 75 its -PRON- PRP$ A34005 876 76 Complement Complement NNP A34005 876 77 to to IN A34005 876 78 360 360 CD A34005 876 79 d d NNS A34005 876 80 , , , A34005 876 81 So so RB A34005 876 82 the the DT A34005 876 83 Versed Versed NNP A34005 876 84 Sine Sine NNP A34005 876 85 of of IN A34005 876 86 200 200 CD A34005 876 87 d d NN A34005 876 88 is be VBZ A34005 876 89 also also RB A34005 876 90 the the DT A34005 876 91 Versed Versed NNP A34005 876 92 Sine Sine NNP A34005 876 93 of of IN A34005 876 94 160 160 CD A34005 876 95 d. d. NN A34005 876 96 The the DT A34005 876 97 Proportions Proportions NNPS A34005 876 98 delivered deliver VBD A34005 876 99 for for IN A34005 876 100 Instruments instrument NNS A34005 876 101 having have VBG A34005 876 102 such such JJ A34005 876 103 Tables table NNS A34005 876 104 as as IN A34005 876 105 before before IN A34005 876 106 hinted hint VBN A34005 876 107 , , , A34005 876 108 will will MD A34005 876 109 not not RB A34005 876 110 be be VB A34005 876 111 so so RB A34005 876 112 unsuitable unsuitable JJ A34005 876 113 to to IN A34005 876 114 the the DT A34005 876 115 Logarithms Logarithms NNP A34005 876 116 as as IN A34005 876 117 commonly commonly RB A34005 876 118 reputed repute VBN A34005 876 119 . . . A34005 877 1 Example example NN A34005 877 2 for for IN A34005 877 3 Calculating calculate VBG A34005 877 4 the the DT A34005 877 5 distance distance NN A34005 877 6 of of IN A34005 877 7 two two CD A34005 877 8 places place NNS A34005 877 9 in in IN A34005 877 10 the the DT A34005 877 11 Arch Arch NNP A34005 877 12 of of IN A34005 877 13 a a DT A34005 877 14 great great JJ A34005 877 15 Circle Circle NNP A34005 877 16 , , , A34005 877 17 otherwise otherwise RB A34005 877 18 then then RB A34005 877 19 according accord VBG A34005 877 20 to to IN A34005 877 21 the the DT A34005 877 22 general general JJ A34005 877 23 Cannon Cannon NNP A34005 877 24 before before RB A34005 877 25 delivered deliver VBN A34005 877 26 . . . A34005 878 1 As as IN A34005 878 2 the the DT A34005 878 3 Secant secant NN A34005 878 4 of of IN A34005 878 5 one one CD A34005 878 6 of of IN A34005 878 7 the the DT A34005 878 8 Latitudes Latitudes NNPS A34005 878 9 , , , A34005 878 10 To to IN A34005 878 11 the the DT A34005 878 12 Cosine Cosine NNP A34005 878 13 of of IN A34005 878 14 the the DT A34005 878 15 other other JJ A34005 878 16 , , , A34005 878 17 So so RB A34005 878 18 the the DT A34005 878 19 Versed Versed NNP A34005 878 20 Sine Sine NNP A34005 878 21 of of IN A34005 878 22 the the DT A34005 878 23 difference difference NN A34005 878 24 of of IN A34005 878 25 Longitude Longitude NNP A34005 878 26 , , , A34005 878 27 To to IN A34005 878 28 the the DT A34005 878 29 difference difference NN A34005 878 30 of of IN A34005 878 31 the the DT A34005 878 32 Versed versed JJ A34005 878 33 Sines Sines NNPS A34005 878 34 of of IN A34005 878 35 these these DT A34005 878 36 two two CD A34005 878 37 Arks Arks NNPS A34005 878 38 , , , A34005 878 39 The the DT A34005 878 40 one one NN A34005 878 41 the the DT A34005 878 42 Ark Ark NNP A34005 878 43 of of IN A34005 878 44 distance distance NN A34005 878 45 sought seek VBD A34005 878 46 , , , A34005 878 47 the the DT A34005 878 48 other other JJ A34005 878 49 the the DT A34005 878 50 Ark Ark NNP A34005 878 51 of of IN A34005 878 52 difference difference NN A34005 878 53 between between IN A34005 878 54 both both DT A34005 878 55 Latitudes Latitudes NNP A34005 878 56 , , , A34005 878 57 when when WRB A34005 878 58 in in IN A34005 878 59 the the DT A34005 878 60 same same JJ A34005 878 61 Hemisphere Hemisphere NNP A34005 878 62 , , , A34005 878 63 or or CC A34005 878 64 the the DT A34005 878 65 sum sum NN A34005 878 66 of of IN A34005 878 67 both both DT A34005 878 68 Latitudes Latitudes NNP A34005 878 69 when when WRB A34005 878 70 in in IN A34005 878 71 different different JJ A34005 878 72 Hemispheres hemisphere NNS A34005 878 73 , , , A34005 878 74 which which WDT A34005 878 75 difference difference NN A34005 878 76 added add VBD A34005 878 77 to to IN A34005 878 78 the the DT A34005 878 79 Versed Versed NNP A34005 878 80 Sine Sine NNP A34005 878 81 of of IN A34005 878 82 this this DT A34005 878 83 latter latter JJ A34005 878 84 Ark Ark NNP A34005 878 85 , , , A34005 878 86 the the DT A34005 878 87 sum sum NN A34005 878 88 is be VBZ A34005 878 89 the the DT A34005 878 90 versed versed JJ A34005 878 91 Sine Sine NNP A34005 878 92 of of IN A34005 878 93 the the DT A34005 878 94 distance distance NN A34005 878 95 , , , A34005 878 96 By by IN A34005 878 97 turning turn VBG A34005 878 98 the the DT A34005 878 99 Substraction Substraction NNP A34005 878 100 to to TO A34005 878 101 be be VB A34005 878 102 made make VBN A34005 878 103 of of IN A34005 878 104 the the DT A34005 878 105 first first JJ A34005 878 106 Tearm Tearm NNP A34005 878 107 into into IN A34005 878 108 an an DT A34005 878 109 Addition addition NN A34005 878 110 , , , A34005 878 111 the the DT A34005 878 112 two two CD A34005 878 113 first first JJ A34005 878 114 Tearms tearm NNS A34005 878 115 of of IN A34005 878 116 the the DT A34005 878 117 Proportion proportion NN A34005 878 118 will will MD A34005 878 119 be be VB A34005 878 120 , , , A34005 878 121 As as IN A34005 878 122 the the DT A34005 878 123 Square Square NNP A34005 878 124 of of IN A34005 878 125 the the DT A34005 878 126 Radius Radius NNP A34005 878 127 , , , A34005 878 128 To to IN A34005 878 129 the the DT A34005 878 130 Rectangle Rectangle NNP A34005 878 131 of of IN A34005 878 132 the the DT A34005 878 133 Cosines Cosines NNPS A34005 878 134 of of IN A34005 878 135 both both CC A34005 878 136 the the DT A34005 878 137 Latitudes Latitudes NNPS A34005 878 138 : : : A34005 878 139 Then then RB A34005 878 140 for for IN A34005 878 141 the the DT A34005 878 142 third third JJ A34005 878 143 Tearm Tearm NNP A34005 878 144 being be VBG A34005 878 145 the the DT A34005 878 146 difference difference NN A34005 878 147 of of IN A34005 878 148 Longitude Longitude NNP A34005 878 149 , , , A34005 878 150 take take VB A34005 878 151 the the DT A34005 878 152 natural natural JJ A34005 878 153 Versed Versed NNP A34005 878 154 Sine Sine NNP A34005 878 155 thereof thereof RB A34005 878 156 , , , A34005 878 157 and and CC A34005 878 158 seek seek VB A34005 878 159 that that IN A34005 878 160 Number number NN A34005 878 161 in in IN A34005 878 162 the the DT A34005 878 163 natural natural JJ A34005 878 164 Tangents tangent NNS A34005 878 165 , , , A34005 878 166 and and CC A34005 878 167 that that IN A34005 878 168 Logarith Logarith NNP A34005 878 169 Tangent Tangent NNP A34005 878 170 that that WDT A34005 878 171 stands stand VBZ A34005 878 172 against against IN A34005 878 173 it -PRON- PRP A34005 878 174 take take VB A34005 878 175 into into IN A34005 878 176 the the DT A34005 878 177 Proportion proportion NN A34005 878 178 instead instead RB A34005 878 179 of of IN A34005 878 180 the the DT A34005 878 181 Logarithm Logarithm NNP A34005 878 182 of of IN A34005 878 183 the the DT A34005 878 184 Versed Versed NNP A34005 878 185 Sine Sine NNP A34005 878 186 proposed propose VBD A34005 878 187 . . . A34005 879 1 Admit admit VB A34005 879 2 it -PRON- PRP A34005 879 3 were be VBD A34005 879 4 required require VBN A34005 879 5 to to TO A34005 879 6 find find VB A34005 879 7 the the DT A34005 879 8 Distance Distance NNP A34005 879 9 between between IN A34005 879 10 London London NNP A34005 879 11 and and CC A34005 879 12 Bantam Bantam NNP A34005 879 13 , , , A34005 879 14 in in IN A34005 879 15 the the DT A34005 879 16 Arch Arch NNP A34005 879 17 of of IN A34005 879 18 a a DT A34005 879 19 great great JJ A34005 879 20 Circle Circle NNP A34005 879 21 . . . A34005 880 1 Logme Logme NNP A34005 880 2 Bantam Bantam NNP A34005 880 3 Longitude Longitude NNP A34005 880 4 140 140 CD A34005 880 5 d d NN A34005 880 6 Latitude Latitude NNP A34005 880 7 5 5 CD A34005 880 8 d d NNP A34005 880 9 40′ 40′ CD A34005 880 10 South South NNP A34005 880 11 Cosine Cosine NNP A34005 880 12 9,9978725 9,9978725 NNP A34005 880 13 London London NNP A34005 880 14 Longitude Longitude NNP A34005 880 15 25 25 CD A34005 880 16 , , , A34005 880 17 50 50 CD A34005 880 18 Latitude Latitude NNP A34005 880 19 51 51 CD A34005 880 20 , , , A34005 880 21 32 32 CD A34005 880 22 North North NNP A34005 880 23 Cosine Cosine NNP A34005 880 24 9,7938317 9,7938317 NN A34005 880 25 — — : A34005 880 26 difference difference NN A34005 880 27 of of IN A34005 880 28 Long Long NNP A34005 880 29 114 114 CD A34005 880 30 d d CD A34005 880 31 10′ 10′ CD A34005 880 32 Nat Nat NNP A34005 880 33 V v NN A34005 880 34 Sine Sine NNP A34005 880 35 14093923 14093923 CD A34005 880 36 equal equal JJ A34005 880 37 to to IN A34005 880 38 the the DT A34005 880 39 natural natural JJ A34005 880 40 Tangent Tangent NNP A34005 880 41 of of IN A34005 880 42 54 54 CD A34005 880 43 d d NN A34005 880 44 38′ 38′ CD A34005 880 45 ½ ½ NN A34005 880 46 nearest near JJS A34005 880 47 Logm Logm NNP A34005 880 48 10,1489900 10,1489900 NNP A34005 880 49 Natural Natural NNP A34005 880 50 Sine Sine NNP A34005 880 51 8723538 8723538 CD A34005 880 52 against against IN A34005 880 53 it -PRON- PRP A34005 880 54 — — : A34005 880 55 2 2 CD A34005 880 56 9940694 9940694 CD A34005 880 57 Nat Nat NNP A34005 880 58 Versed Versed NNP A34005 880 59 Sine Sine NNP A34005 880 60 of of IN A34005 880 61 57 57 CD A34005 880 62 d d NN A34005 880 63 12′ 12′ CD A34005 880 64 the the DT A34005 880 65 sum sum NN A34005 880 66 of of IN A34005 880 67 both both DT A34005 880 68 Latitudes Latitudes NNP A34005 880 69 4582918 4582918 CD A34005 880 70 — — : A34005 880 71 Sum Sum NNP A34005 880 72 — — : A34005 880 73 13306456 13306456 CD A34005 880 74 the the DT A34005 880 75 natural natural JJ A34005 880 76 Versed Versed NNP A34005 880 77 Sine Sine NNP A34005 880 78 of of IN A34005 880 79 109 109 CD A34005 880 80 d d CD A34005 880 81 18′ 18′ CD A34005 880 82 30″ 30″ NN A34005 880 83 the the DT A34005 880 84 Ark Ark NNP A34005 880 85 of of IN A34005 880 86 distance distance NN A34005 880 87 sought seek VBD A34005 880 88 . . . A34005 881 1 And and CC A34005 881 2 if if IN A34005 881 3 to to IN A34005 881 4 the the DT A34005 881 5 said say VBN A34005 881 6 difference difference NN A34005 881 7 , , , A34005 881 8 namely namely RB A34005 881 9 — — : A34005 881 10 8723538 8723538 CD A34005 881 11 Be be VB A34005 881 12 added add VBN A34005 881 13 the the DT A34005 881 14 natural natural JJ A34005 881 15 Versed Versed NNP A34005 881 16 Sine Sine NNP A34005 881 17 of of IN A34005 881 18 the the DT A34005 881 19 difference difference NN A34005 881 20 of of IN A34005 881 21 both both DT A34005 881 22 Latitudes Latitudes NNP A34005 881 23 , , , A34005 881 24 namely namely RB A34005 881 25 the the DT A34005 881 26 V V NNP A34005 881 27 Sine Sine NNP A34005 881 28 of of IN A34005 881 29 45 45 CD A34005 881 30 d d NN A34005 881 31 52′ 52′ CD A34005 881 32 — — : A34005 881 33 3036695 3036695 CD A34005 881 34 — — : A34005 881 35 The the DT A34005 881 36 sum sum NN A34005 881 37 being be VBG A34005 881 38 the the DT A34005 881 39 natural natural JJ A34005 881 40 V V NNP A34005 881 41 Sine Sine NNP A34005 881 42 of of IN A34005 881 43 100 100 CD A34005 881 44 d d NN A34005 881 45 8′ 8′ CD A34005 881 46 30″ 30″ NN A34005 881 47 is be VBZ A34005 881 48 — — : A34005 881 49 11760233 11760233 CD A34005 881 50 the the DT A34005 881 51 distance distance NN A34005 881 52 of of IN A34005 881 53 two two CD A34005 881 54 places place NNS A34005 881 55 , , , A34005 881 56 having have VBG A34005 881 57 the the DT A34005 881 58 same same JJ A34005 881 59 Latitudes Latitudes NNP A34005 881 60 , , , A34005 881 61 and and CC A34005 881 62 difference difference NN A34005 881 63 of of IN A34005 881 64 Longitude Longitude NNP A34005 881 65 , , , A34005 881 66 but but CC A34005 881 67 are be VBP A34005 881 68 both both DT A34005 881 69 in in IN A34005 881 70 the the DT A34005 881 71 same same JJ A34005 881 72 Hemisphere Hemisphere NNP A34005 881 73 . . . A34005 882 1 Here here RB A34005 882 2 note note VB A34005 882 3 , , , A34005 882 4 that that IN A34005 882 5 no no DT A34005 882 6 two two CD A34005 882 7 places place NNS A34005 882 8 can can MD A34005 882 9 have have VB A34005 882 10 above above IN A34005 882 11 180 180 CD A34005 882 12 d d NN A34005 882 13 difference difference NN A34005 882 14 of of IN A34005 882 15 Longitude Longitude NNP A34005 882 16 , , , A34005 882 17 therefore therefore RB A34005 882 18 in in IN A34005 882 19 differencing difference VBG A34005 882 20 the the DT A34005 882 21 two two CD A34005 882 22 Longitudes Longitudes NNPS A34005 882 23 if if IN A34005 882 24 the the DT A34005 882 25 remainder remainder NN A34005 882 26 be be VB A34005 882 27 more more JJR A34005 882 28 take take VB A34005 882 29 its -PRON- PRP$ A34005 882 30 Complement Complement NNP A34005 882 31 to to IN A34005 882 32 360 360 CD A34005 882 33 d. d. NN A34005 882 34 The the DT A34005 882 35 Complements Complements NNPS A34005 882 36 of of IN A34005 882 37 these these DT A34005 882 38 two two CD A34005 882 39 distances distance NNS A34005 882 40 , , , A34005 882 41 namely namely RB A34005 882 42 70 70 CD A34005 882 43 d d NN A34005 882 44 41′ 41′ CD A34005 882 45 30″ 30″ NN A34005 882 46 and and CC A34005 882 47 79 79 CD A34005 882 48 d d NN A34005 882 49 51′ 51′ CD A34005 882 50 30″ 30″ NN A34005 882 51 are be VBP A34005 882 52 the the DT A34005 882 53 distances distance NNS A34005 882 54 of of IN A34005 882 55 two two CD A34005 882 56 places place NNS A34005 882 57 of of IN A34005 882 58 the the DT A34005 882 59 same same JJ A34005 882 60 Latitudes Latitudes NNP A34005 882 61 considered consider VBN A34005 882 62 as as IN A34005 882 63 in in IN A34005 882 64 different different JJ A34005 882 65 Hemispheres hemisphere NNS A34005 882 66 , , , A34005 882 67 their -PRON- PRP$ A34005 882 68 difference difference NN A34005 882 69 of of IN A34005 882 70 Longitude longitude NN A34005 882 71 being be VBG A34005 882 72 65 65 CD A34005 882 73 d d NN A34005 882 74 50′ 50′ CD A34005 882 75 the the DT A34005 882 76 Complement Complement NNP A34005 882 77 of of IN A34005 882 78 the the DT A34005 882 79 former former JJ A34005 882 80 , , , A34005 882 81 and and CC A34005 882 82 two two CD A34005 882 83 places place NNS A34005 882 84 in in IN A34005 882 85 a a DT A34005 882 86 such such JJ A34005 882 87 Position position NN A34005 882 88 compared compare VBN A34005 882 89 with with IN A34005 882 90 their -PRON- PRP$ A34005 882 91 former former JJ A34005 882 92 Positions position NNS A34005 882 93 may may MD A34005 882 94 be be VB A34005 882 95 apprehended apprehend VBN A34005 882 96 to to TO A34005 882 97 be be VB A34005 882 98 Diametrically diametrically RB A34005 882 99 opposite opposite JJ A34005 882 100 upon upon IN A34005 882 101 the the DT A34005 882 102 Globe Globe NNP A34005 882 103 , , , A34005 882 104 as as IN A34005 882 105 thus thus RB A34005 882 106 , , , A34005 882 107 Bantam Bantam NNP A34005 882 108 having have VBG A34005 882 109 5d 5d CD A34005 882 110 40′ 40′ CD A34005 882 111 South South NNP A34005 882 112 Latitude Latitude NNP A34005 882 113 , , , A34005 882 114 let let VB A34005 882 115 another another DT A34005 882 116 place place NN A34005 882 117 have have VB A34005 882 118 as as RB A34005 882 119 much much JJ A34005 882 120 North North NNP A34005 882 121 Latitude Latitude NNP A34005 882 122 , , , A34005 882 123 the the DT A34005 882 124 difference difference NN A34005 882 125 of of IN A34005 882 126 Longitude longitude NN A34005 882 127 between between IN A34005 882 128 them -PRON- PRP A34005 882 129 180 180 CD A34005 882 130 d d NNS A34005 882 131 and and CC A34005 882 132 consequently consequently RB A34005 882 133 so so RB A34005 882 134 much much JJ A34005 882 135 their -PRON- PRP$ A34005 882 136 distance distance NN A34005 882 137 ; ; : A34005 882 138 now now RB A34005 882 139 whatever whatever WDT A34005 882 140 be be VBP A34005 882 141 the the DT A34005 882 142 distance distance NN A34005 882 143 between between IN A34005 882 144 Bantam Bantam NNP A34005 882 145 and and CC A34005 882 146 the the DT A34005 882 147 third third JJ A34005 882 148 place place NN A34005 882 149 , , , A34005 882 150 the the DT A34005 882 151 Complement Complement NNP A34005 882 152 of of IN A34005 882 153 it -PRON- PRP A34005 882 154 to to IN A34005 882 155 180 180 CD A34005 882 156 d d NN A34005 882 157 shall shall MD A34005 882 158 be be VB A34005 882 159 the the DT A34005 882 160 distance distance NN A34005 882 161 between between IN A34005 882 162 the the DT A34005 882 163 two two CD A34005 882 164 other other JJ A34005 882 165 places place NNS A34005 882 166 . . . A34005 883 1 10 10 CD A34005 883 2 . . . A34005 884 1 Two two CD A34005 884 2 angles angle NNS A34005 884 3 with with IN A34005 884 4 the the DT A34005 884 5 Interjacent interjacent JJ A34005 884 6 side side NN A34005 884 7 given give VBN A34005 884 8 . . . A34005 885 1 To to TO A34005 885 2 find find VB A34005 885 3 the the DT A34005 885 4 3d 3d NNP A34005 885 5 angle angle NN A34005 885 6 , , , A34005 885 7 the the DT A34005 885 8 proportion proportion NN A34005 885 9 derived derive VBN A34005 885 10 from from IN A34005 885 11 the the DT A34005 885 12 former former JJ A34005 885 13 Case Case NNP A34005 885 14 by by IN A34005 885 15 changing change VBG A34005 885 16 the the DT A34005 885 17 angles angle NNS A34005 885 18 into into IN A34005 885 19 sides side NNS A34005 885 20 , , , A34005 885 21 and and CC A34005 885 22 holds hold VBZ A34005 885 23 without without IN A34005 885 24 any any DT A34005 885 25 such such JJ A34005 885 26 change change NN A34005 885 27 supposed suppose VBN A34005 885 28 is be VBZ A34005 885 29 , , , A34005 885 30 As as IN A34005 885 31 the the DT A34005 885 32 Cube Cube NNP A34005 885 33 of of IN A34005 885 34 the the DT A34005 885 35 Radius Radius NNP A34005 885 36 , , , A34005 885 37 To to IN A34005 885 38 the the DT A34005 885 39 double double JJ A34005 885 40 of of IN A34005 885 41 the the DT A34005 885 42 Rectangle Rectangle NNP A34005 885 43 of of IN A34005 885 44 the the DT A34005 885 45 Sines Sines NNPS A34005 885 46 of of IN A34005 885 47 the the DT A34005 885 48 two two CD A34005 885 49 given give VBN A34005 885 50 angles angle NNS A34005 885 51 : : : A34005 885 52 So so RB A34005 885 53 is be VBZ A34005 885 54 the the DT A34005 885 55 Square Square NNP A34005 885 56 of of IN A34005 885 57 the the DT A34005 885 58 Sine Sine NNP A34005 885 59 of of IN A34005 885 60 half half PDT A34005 885 61 the the DT A34005 885 62 given give VBN A34005 885 63 side side NN A34005 885 64 , , , A34005 885 65 To to IN A34005 885 66 the the DT A34005 885 67 difference difference NN A34005 885 68 of of IN A34005 885 69 the the DT A34005 885 70 Versed versed JJ A34005 885 71 Sines Sines NNPS A34005 885 72 of of IN A34005 885 73 these these DT A34005 885 74 two two CD A34005 885 75 Arks Arks NNPS A34005 885 76 , , , A34005 885 77 the the DT A34005 885 78 one one NN A34005 885 79 is be VBZ A34005 885 80 the the DT A34005 885 81 angle angle NN A34005 885 82 sought seek VBN A34005 885 83 , , , A34005 885 84 the the DT A34005 885 85 other other JJ A34005 885 86 the the DT A34005 885 87 Ark Ark NNP A34005 885 88 of of IN A34005 885 89 difference difference NN A34005 885 90 between between IN A34005 885 91 one one CD A34005 885 92 of of IN A34005 885 93 the the DT A34005 885 94 including include VBG A34005 885 95 angles angle NNS A34005 885 96 , , , A34005 885 97 and and CC A34005 885 98 the the DT A34005 885 99 Complement Complement NNP A34005 885 100 of of IN A34005 885 101 the the DT A34005 885 102 other other JJ A34005 885 103 to to IN A34005 885 104 a a DT A34005 885 105 Semicircle Semicircle NNP A34005 885 106 , , , A34005 885 107 which which WDT A34005 885 108 difference difference NN A34005 885 109 added add VBD A34005 885 110 to to IN A34005 885 111 the the DT A34005 885 112 Versed Versed NNP A34005 885 113 Sine Sine NNP A34005 885 114 of of IN A34005 885 115 this this DT A34005 885 116 Ark Ark NNP A34005 885 117 gives give VBZ A34005 885 118 the the DT A34005 885 119 Versed Versed NNP A34005 885 120 Sine Sine NNP A34005 885 121 of of IN A34005 885 122 the the DT A34005 885 123 angle angle NN A34005 885 124 sought seek VBN A34005 885 125 . . . A34005 886 1 How how WRB A34005 886 2 to to TO A34005 886 3 work work VB A34005 886 4 this this DT A34005 886 5 by by IN A34005 886 6 Tables table NNS A34005 886 7 need nee MD A34005 886 8 not not RB A34005 886 9 be be VB A34005 886 10 shewed shew VBN A34005 886 11 after after IN A34005 886 12 the the DT A34005 886 13 Logm Logm NNP A34005 886 14 of of IN A34005 886 15 the the DT A34005 886 16 difference difference NN A34005 886 17 is be VBZ A34005 886 18 got get VBN A34005 886 19 , , , A34005 886 20 if if IN A34005 886 21 it -PRON- PRP A34005 886 22 be be VB A34005 886 23 less less JJR A34005 886 24 then then RB A34005 886 25 the the DT A34005 886 26 Radius Radius NNP A34005 886 27 , , , A34005 886 28 it -PRON- PRP A34005 886 29 may may MD A34005 886 30 be be VB A34005 886 31 sought seek VBN A34005 886 32 either either CC A34005 886 33 in in IN A34005 886 34 the the DT A34005 886 35 Sines Sines NNPS A34005 886 36 or or CC A34005 886 37 Tangents Tangents NNP A34005 886 38 , , , A34005 886 39 and and CC A34005 886 40 the the DT A34005 886 41 natural natural JJ A34005 886 42 Sine Sine NNP A34005 886 43 or or CC A34005 886 44 Tangent Tangent NNP A34005 886 45 that that WDT A34005 886 46 stands stand VBZ A34005 886 47 against against IN A34005 886 48 it -PRON- PRP A34005 886 49 and and CC A34005 886 50 comes come VBZ A34005 886 51 nearest near JJS A34005 886 52 taken take VBN A34005 886 53 ; ; : A34005 886 54 but but CC A34005 886 55 when when WRB A34005 886 56 it -PRON- PRP A34005 886 57 exceeds exceed VBZ A34005 886 58 the the DT A34005 886 59 Radius Radius NNP A34005 886 60 always always RB A34005 886 61 seek seek VB A34005 886 62 it -PRON- PRP A34005 886 63 in in IN A34005 886 64 the the DT A34005 886 65 Tangents Tangents NNPS A34005 886 66 , , , A34005 886 67 and and CC A34005 886 68 take take VB A34005 886 69 the the DT A34005 886 70 natural natural JJ A34005 886 71 Tangent Tangent NNP A34005 886 72 that that WDT A34005 886 73 stands stand VBZ A34005 886 74 against against IN A34005 886 75 it -PRON- PRP A34005 886 76 , , , A34005 886 77 which which WDT A34005 886 78 difference difference NN A34005 886 79 so so RB A34005 886 80 found find VBN A34005 886 81 , , , A34005 886 82 is be VBZ A34005 886 83 to to TO A34005 886 84 be be VB A34005 886 85 added add VBN A34005 886 86 to to IN A34005 886 87 the the DT A34005 886 88 Versed Versed NNP A34005 886 89 Sine Sine NNP A34005 886 90 of of IN A34005 886 91 the the DT A34005 886 92 difference difference NN A34005 886 93 of of IN A34005 886 94 the the DT A34005 886 95 Leggs Leggs NNP A34005 886 96 to to TO A34005 886 97 obtain obtain VB A34005 886 98 the the DT A34005 886 99 Versed Versed NNP A34005 886 100 Sine Sine NNP A34005 886 101 of of IN A34005 886 102 the the DT A34005 886 103 angle angle NN A34005 886 104 sought seek VBN A34005 886 105 . . . A34005 887 1 Otherwise otherwise RB A34005 887 2 for for IN A34005 887 3 Tables table NNS A34005 887 4 the the DT A34005 887 5 common common JJ A34005 887 6 way way NN A34005 887 7 by by IN A34005 887 8 a a DT A34005 887 9 supposed suppose VBN A34005 887 10 Perpendicular Perpendicular NNP A34005 887 11 1 1 CD A34005 887 12 . . . A34005 888 1 If if IN A34005 888 2 both both DT A34005 888 3 the the DT A34005 888 4 angles angle NNS A34005 888 5 are be VBP A34005 888 6 equal equal JJ A34005 888 7 , , , A34005 888 8 As as IN A34005 888 9 the the DT A34005 888 10 Radius Radius NNP A34005 888 11 . . . A34005 889 1 To to IN A34005 889 2 the the DT A34005 889 3 Sine Sine NNP A34005 889 4 of of IN A34005 889 5 the the DT A34005 889 6 angle angle NN A34005 889 7 given give VBN A34005 889 8 : : : A34005 889 9 So so CC A34005 889 10 the the DT A34005 889 11 Cosine Cosine NNP A34005 889 12 of of IN A34005 889 13 half half PDT A34005 889 14 the the DT A34005 889 15 given give VBN A34005 889 16 Side side NN A34005 889 17 , , , A34005 889 18 To to IN A34005 889 19 the the DT A34005 889 20 Cosine Cosine NNP A34005 889 21 of of IN A34005 889 22 half half PDT A34005 889 23 the the DT A34005 889 24 angle angle NN A34005 889 25 sought seek VBN A34005 889 26 . . . A34005 890 1 In in IN A34005 890 2 all all DT A34005 890 3 other other JJ A34005 890 4 Cases case NNS A34005 890 5 not not RB A34005 890 6 belonging belong VBG A34005 890 7 to to IN A34005 890 8 right right RB A34005 890 9 angled angle VBN A34005 890 10 Triangles Triangles NNP A34005 890 11 if if IN A34005 890 12 one one CD A34005 890 13 or or CC A34005 890 14 both both DT A34005 890 15 of of IN A34005 890 16 the the DT A34005 890 17 given give VBN A34005 890 18 angles angle NNS A34005 890 19 be be VB A34005 890 20 Acute acute JJ A34005 890 21 , , , A34005 890 22 it -PRON- PRP A34005 890 23 holds hold VBZ A34005 890 24 , , , A34005 890 25 As as IN A34005 890 26 the the DT A34005 890 27 Radius Radius NNP A34005 890 28 , , , A34005 890 29 To to IN A34005 890 30 Cosine Cosine NNP A34005 890 31 of of IN A34005 890 32 the the DT A34005 890 33 interjacent interjacent JJ A34005 890 34 side side NN A34005 890 35 : : : A34005 890 36 So so CC A34005 890 37 the the DT A34005 890 38 Tangent tangent NN A34005 890 39 of of IN A34005 890 40 the the DT A34005 890 41 lesser less JJR A34005 890 42 angle angle NN A34005 890 43 , , , A34005 890 44 To to IN A34005 890 45 the the DT A34005 890 46 Tangent Tangent NNP A34005 890 47 of of IN A34005 890 48 a a DT A34005 890 49 4 4 CD A34005 890 50 ● ● SYM A34005 890 51 h h NN A34005 890 52 Ark. Arkansas NNP A34005 891 1 If if IN A34005 891 2 the the DT A34005 891 3 interjacent interjacent JJ A34005 891 4 side side NN A34005 891 5 be be VB A34005 891 6 more more JJR A34005 891 7 then then RB A34005 891 8 90d 90d NNS A34005 891 9 substract substract VB A34005 891 10 the the DT A34005 891 11 4 4 CD A34005 891 12 ● ● SYM A34005 891 13 h h NN A34005 891 14 Ark Ark NNP A34005 891 15 from from IN A34005 891 16 the the DT A34005 891 17 other other JJ A34005 891 18 angle angle NN A34005 891 19 ; ; : A34005 891 20 but but CC A34005 891 21 if if IN A34005 891 22 less less JJR A34005 891 23 then then RB A34005 891 24 90d 90d NNS A34005 891 25 , , , A34005 891 26 substract substract VB A34005 891 27 the the DT A34005 891 28 4 4 CD A34005 891 29 ● ● SYM A34005 891 30 h h NN A34005 891 31 Ark Ark NNP A34005 891 32 from from IN A34005 891 33 the the DT A34005 891 34 other other JJ A34005 891 35 angles angle NNS A34005 891 36 Complement Complement NNP A34005 891 37 to to IN A34005 891 38 180d 180d NNPS A34005 891 39 , , , A34005 891 40 noting note VBG A34005 891 41 the the DT A34005 891 42 residual residual JJ A34005 891 43 Ark. Arkansas NNP A34005 892 1 Then then RB A34005 892 2 , , , A34005 892 3 As as IN A34005 892 4 the the DT A34005 892 5 Cosine Cosine NNP A34005 892 6 of of IN A34005 892 7 the the DT A34005 892 8 4th 4th JJ A34005 892 9 Ark Ark NNP A34005 892 10 , , , A34005 892 11 To to IN A34005 892 12 the the DT A34005 892 13 Cosine Cosine NNP A34005 892 14 of of IN A34005 892 15 the the DT A34005 892 16 Ark Ark NNP A34005 892 17 remainmaining remainmaine VBG A34005 892 18 : : : A34005 892 19 So so CC A34005 892 20 the the DT A34005 892 21 Cosine Cosine NNP A34005 892 22 of of IN A34005 892 23 the the DT A34005 892 24 lesser less JJR A34005 892 25 angle angle NN A34005 892 26 , , , A34005 892 27 To to IN A34005 892 28 the the DT A34005 892 29 Cosine Cosine NNP A34005 892 30 of of IN A34005 892 31 the the DT A34005 892 32 angle angle NN A34005 892 33 sought seek VBN A34005 892 34 . . . A34005 893 1 When when WRB A34005 893 2 the the DT A34005 893 3 interjacent interjacent JJ A34005 893 4 side side NN A34005 893 5 is be VBZ A34005 893 6 less less JJR A34005 893 7 then then RB A34005 893 8 a a DT A34005 893 9 Quadrant Quadrant NNP A34005 893 10 , , , A34005 893 11 and and CC A34005 893 12 the the DT A34005 893 13 residual residual JJ A34005 893 14 Ark Ark NNP A34005 893 15 more more RBR A34005 893 16 , , , A34005 893 17 or or CC A34005 893 18 when when WRB A34005 893 19 the the DT A34005 893 20 interjacent interjacent JJ A34005 893 21 side side NN A34005 893 22 is be VBZ A34005 893 23 greater great JJR A34005 893 24 then then RB A34005 893 25 a a DT A34005 893 26 Quadrant Quadrant NNP A34005 893 27 , , , A34005 893 28 and and CC A34005 893 29 the the DT A34005 893 30 residual residual JJ A34005 893 31 Ark Ark NNP A34005 893 32 less less RBR A34005 893 33 , , , A34005 893 34 the the DT A34005 893 35 angle angle NN A34005 893 36 sought seek VBD A34005 893 37 is be VBZ A34005 893 38 Obtuse Obtuse NNP A34005 893 39 , , , A34005 893 40 in in IN A34005 893 41 all all DT A34005 893 42 other other JJ A34005 893 43 Cases case NNS A34005 893 44 Acute acute JJ A34005 893 45 . . . A34005 894 1 In in IN A34005 894 2 the the DT A34005 894 3 Triangle Triangle NNP A34005 894 4 ☉ ☉ NNP A34005 894 5 Z Z NNP A34005 894 6 P p NN A34005 894 7 let let VBD A34005 894 8 there there EX A34005 894 9 be be VB A34005 894 10 given give VBN A34005 894 11 The the DT A34005 894 12 angle angle NN A34005 894 13 of of IN A34005 894 14 Position position NN A34005 894 15 at at IN A34005 894 16 ☉ ☉ NNPS A34005 894 17 — — : A34005 894 18 21d 21d CD A34005 894 19 28′ 28′ CD A34005 894 20 The the DT A34005 894 21 hour hour NN A34005 894 22 from from IN A34005 894 23 noon noon NN A34005 894 24 angle angle NN A34005 894 25 at at IN A34005 894 26 P p NN A34005 894 27 — — : A34005 894 28 33 33 CD A34005 894 29 47 47 CD A34005 894 30 And and CC A34005 894 31 the the DT A34005 894 32 side side NN A34005 894 33 ☉ ☉ NNS A34005 894 34 P p NN A34005 894 35 the the DT A34005 894 36 Suns Suns NNPS A34005 894 37 distante distante JJ A34005 894 38 from from IN A34005 894 39 the the DT A34005 894 40 elevated elevated JJ A34005 894 41 Pole Pole NNP A34005 894 42 — — : A34005 894 43 103 103 CD A34005 894 44 00 00 CD A34005 894 45 To to TO A34005 894 46 find find VB A34005 894 47 his -PRON- PRP$ A34005 894 48 Azimuth Azimuth NNP A34005 894 49 the the DT A34005 894 50 angle angle NN A34005 894 51 ☉ ☉ NNPS A34005 894 52 Z Z NNP A34005 894 53 P P NNP A34005 894 54 Sine Sine NNP A34005 894 55 13 13 CD A34005 894 56 d d NN A34005 894 57 the the DT A34005 894 58 Complement Complement NNP A34005 894 59 of of IN A34005 894 60 the the DT A34005 894 61 interjacent interjacent JJ A34005 894 62 side side NN A34005 894 63 — — : A34005 894 64 93520880 93520880 CD A34005 894 65 Tangent Tangent NNP A34005 894 66 21 21 CD A34005 894 67 d d SYM A34005 894 68 28′ 28′ CD A34005 894 69 the the DT A34005 894 70 lesser less JJR A34005 894 71 angle angle NN A34005 894 72 — — : A34005 894 73 95946561 95946561 CD A34005 894 74 Tangent Tangent NNP A34005 894 75 of of IN A34005 894 76 5 5 CD A34005 894 77 d d NN A34005 894 78 3′ 3′ CD A34005 894 79 — — : A34005 894 80 89467441 89467441 CD A34005 894 81 The the DT A34005 894 82 other other JJ A34005 894 83 angle angle NN A34005 894 84 — — : A34005 894 85 33 33 CD A34005 894 86 47 47 CD A34005 894 87 The the DT A34005 894 88 difference difference NN A34005 894 89 being be VBG A34005 894 90 the the DT A34005 894 91 residual residual JJ A34005 894 92 ark ark NNP A34005 894 93 28 28 CD A34005 894 94 44 44 CD A34005 894 95 Cosine Cosine NNP A34005 894 96 — — : A34005 894 97 99429335 99429335 CD A34005 894 98 Lesser less JJR A34005 894 99 angle angle NN A34005 894 100 — — : A34005 894 101 21 21 CD A34005 894 102 28 28 CD A34005 894 103 Cosine Cosine NNP A34005 894 104 — — : A34005 894 105 99687773 99687773 CD A34005 894 106 199117108 199117108 CD A34005 894 107 Ark Ark NNP A34005 894 108 first first RB A34005 894 109 found find VBD A34005 894 110 — — : A34005 894 111 5d 5d CD A34005 894 112 3′ 3′ CD A34005 894 113 Cosine Cosine NNP A34005 894 114 — — : A34005 894 115 99983109 99983109 CD A34005 894 116 Sine Sine NNP A34005 894 117 55 55 CD A34005 894 118 d d CD A34005 894 119 — — : A34005 894 120 99133999 99133999 CD A34005 894 121 The the DT A34005 894 122 Complement Complement NNP A34005 894 123 whereof whereof IN A34005 894 124 35 35 CD A34005 894 125 d d NN A34005 894 126 in in IN A34005 894 127 this this DT A34005 894 128 Case Case NNP A34005 894 129 is be VBZ A34005 894 130 not not RB A34005 894 131 the the DT A34005 894 132 angle angle NN A34005 894 133 sought seek VBD A34005 894 134 , , , A34005 894 135 but but CC A34005 894 136 the the DT A34005 894 137 residue residue NN A34005 894 138 hereof hereof NNP A34005 894 139 from from IN A34005 894 140 a a DT A34005 894 141 Semicircle Semicircle NNP A34005 894 142 145 145 CD A34005 894 143 d d NN A34005 894 144 is be VBZ A34005 894 145 the the DT A34005 894 146 angle angle NN A34005 894 147 sought seek VBD A34005 894 148 being be VBG A34005 894 149 Obtuse Obtuse NNP A34005 894 150 , , , A34005 894 151 because because IN A34005 894 152 the the DT A34005 894 153 interjacent interjacent JJ A34005 894 154 side side NN A34005 894 155 is be VBZ A34005 894 156 greater great JJR A34005 894 157 then then RB A34005 894 158 a a DT A34005 894 159 Quadrant Quadrant NNP A34005 894 160 , , , A34005 894 161 and and CC A34005 894 162 the the DT A34005 894 163 residual residual JJ A34005 894 164 Ark Ark NNP A34005 894 165 less less RBR A34005 894 166 ; ; : A34005 894 167 the the DT A34005 894 168 residual residual JJ A34005 894 169 Ark Ark NNP A34005 894 170 in in IN A34005 894 171 Operation Operation NNP A34005 894 172 if if IN A34005 894 173 greater great JJR A34005 894 174 then then RB A34005 894 175 a a DT A34005 894 176 Quadrant Quadrant NNP A34005 894 177 , , , A34005 894 178 take take VB A34005 894 179 its -PRON- PRP$ A34005 894 180 Complement Complement NNP A34005 894 181 to to IN A34005 894 182 180 180 CD A34005 894 183 d d NNS A34005 894 184 , , , A34005 894 185 because because IN A34005 894 186 there there EX A34005 894 187 are be VBP A34005 894 188 no no DT A34005 894 189 Sines sine NNS A34005 894 190 to to IN A34005 894 191 Arks Arks NNP A34005 894 192 above above IN A34005 894 193 a a DT A34005 894 194 Quadrant Quadrant NNP A34005 894 195 , , , A34005 894 196 and and CC A34005 894 197 then then RB A34005 894 198 the the DT A34005 894 199 Complement Complement NNP A34005 894 200 of of IN A34005 894 201 this this DT A34005 894 202 Ark Ark NNP A34005 894 203 to to IN A34005 894 204 90d 90d CD A34005 894 205 is be VBZ A34005 894 206 the the DT A34005 894 207 Complement Complement NNP A34005 894 208 of of IN A34005 894 209 the the DT A34005 894 210 residual residual JJ A34005 894 211 Ark Ark NNP A34005 894 212 the the DT A34005 894 213 Sine Sine NNP A34005 894 214 whereof whereof NN A34005 894 215 must must MD A34005 894 216 be be VB A34005 894 217 taken take VBN A34005 894 218 for for IN A34005 894 219 the the DT A34005 894 220 Cosine Cosine NNP A34005 894 221 of of IN A34005 894 222 the the DT A34005 894 223 residual residual JJ A34005 894 224 Arke Arke NNP A34005 894 225 . . . A34005 895 1 Otherwise otherwise RB A34005 895 2 for for IN A34005 895 3 Instruments Instruments NNPS A34005 895 4 . . . A34005 896 1 As as IN A34005 896 2 the the DT A34005 896 3 Diameter Diameter NNP A34005 896 4 , , , A34005 896 5 To to IN A34005 896 6 the the DT A34005 896 7 difference difference NN A34005 896 8 of of IN A34005 896 9 the the DT A34005 896 10 Versed Versed NNP A34005 896 11 Sines Sines NNPS A34005 896 12 of of IN A34005 896 13 the the DT A34005 896 14 sum sum NN A34005 896 15 and and CC A34005 896 16 difference difference NN A34005 896 17 of of IN A34005 896 18 the the DT A34005 896 19 two two CD A34005 896 20 including include VBG A34005 896 21 angles angle NNS A34005 896 22 , , , A34005 896 23 Or or CC A34005 896 24 , , , A34005 896 25 As as IN A34005 896 26 the the DT A34005 896 27 Cosecant Cosecant NNP A34005 896 28 of of IN A34005 896 29 one one CD A34005 896 30 of of IN A34005 896 31 those those DT A34005 896 32 angles angle NNS A34005 896 33 , , , A34005 896 34 Is be VBZ A34005 896 35 to to IN A34005 896 36 the the DT A34005 896 37 Sine Sine NNP A34005 896 38 of of IN A34005 896 39 the the DT A34005 896 40 other other JJ A34005 896 41 , , , A34005 896 42 So so RB A34005 896 43 the the DT A34005 896 44 Versed Versed NNP A34005 896 45 Sine Sine NNP A34005 896 46 of of IN A34005 896 47 the the DT A34005 896 48 interjacent interjacent JJ A34005 896 49 side side NN A34005 896 50 , , , A34005 896 51 To to IN A34005 896 52 the the DT A34005 896 53 difference difference NN A34005 896 54 of of IN A34005 896 55 the the DT A34005 896 56 Versed Versed NNP A34005 896 57 Sine Sine NNP A34005 896 58 of of IN A34005 896 59 an an DT A34005 896 60 Ark Ark NNP A34005 896 61 left leave VBN A34005 896 62 by by IN A34005 896 63 substracting substracte VBG A34005 896 64 one one CD A34005 896 65 of of IN A34005 896 66 the the DT A34005 896 67 including include VBG A34005 896 68 angles angle NNS A34005 896 69 from from IN A34005 896 70 the the DT A34005 896 71 Complement Complement NNP A34005 896 72 of of IN A34005 896 73 the the DT A34005 896 74 other other JJ A34005 896 75 to to IN A34005 896 76 a a DT A34005 896 77 Semicircle Semicircle NNP A34005 896 78 , , , A34005 896 79 and and CC A34005 896 80 of of IN A34005 896 81 the the DT A34005 896 82 angle angle NN A34005 896 83 sought seek VBN A34005 896 84 , , , A34005 896 85 which which WDT A34005 896 86 difference difference NN A34005 896 87 added add VBD A34005 896 88 to to IN A34005 896 89 the the DT A34005 896 90 Versed Versed NNP A34005 896 91 Sine Sine NNP A34005 896 92 of of IN A34005 896 93 the the DT A34005 896 94 said say VBD A34005 896 95 Ark Ark NNP A34005 896 96 , , , A34005 896 97 gives give VBZ A34005 896 98 the the DT A34005 896 99 Versed Versed NNP A34005 896 100 Sine Sine NNP A34005 896 101 of of IN A34005 896 102 the the DT A34005 896 103 angle angle NN A34005 896 104 sought seek VBN A34005 896 105 , , , A34005 896 106 And and CC A34005 896 107 so so RB A34005 896 108 is be VBZ A34005 896 109 the the DT A34005 896 110 Versed Versed NNP A34005 896 111 Sine Sine NNP A34005 896 112 of of IN A34005 896 113 the the DT A34005 896 114 interjacent interjacent JJ A34005 896 115 sides side NNS A34005 896 116 Complement complement JJ A34005 896 117 to to IN A34005 896 118 180 180 CD A34005 896 119 d d NNS A34005 896 120 , , , A34005 896 121 To to IN A34005 896 122 the the DT A34005 896 123 difference difference NN A34005 896 124 of of IN A34005 896 125 the the DT A34005 896 126 Versed Versed NNP A34005 896 127 Sines Sines NNPS A34005 896 128 of of IN A34005 896 129 an an DT A34005 896 130 Ark Ark NNP A34005 896 131 made make VBN A34005 896 132 by by IN A34005 896 133 adding add VBG A34005 896 134 one one CD A34005 896 135 of of IN A34005 896 136 the the DT A34005 896 137 including include VBG A34005 896 138 angles angle NNS A34005 896 139 to to IN A34005 896 140 the the DT A34005 896 141 Complement Complement NNP A34005 896 142 of of IN A34005 896 143 the the DT A34005 896 144 other other JJ A34005 896 145 to to IN A34005 896 146 a a DT A34005 896 147 Semicircle Semicircle NNP A34005 896 148 , , , A34005 896 149 and and CC A34005 896 150 of of IN A34005 896 151 the the DT A34005 896 152 angle angle NN A34005 896 153 sought seek VBN A34005 896 154 , , , A34005 896 155 which which WDT A34005 896 156 substracted substracte VBD A34005 896 157 from from IN A34005 896 158 the the DT A34005 896 159 Versed Versed NNP A34005 896 160 Sine Sine NNP A34005 896 161 of of IN A34005 896 162 the the DT A34005 896 163 said say VBD A34005 896 164 Ark Ark NNP A34005 896 165 , , , A34005 896 166 leaves leave VBZ A34005 896 167 the the DT A34005 896 168 versed versed JJ A34005 896 169 sine sine NN A34005 896 170 of of IN A34005 896 171 the the DT A34005 896 172 angle angle NN A34005 896 173 sought seek VBN A34005 896 174 . . . A34005 897 1 11 11 CD A34005 897 2 . . . A34005 898 1 Three three CD A34005 898 2 Sides side NNS A34005 898 3 to to TO A34005 898 4 find find VB A34005 898 5 an an DT A34005 898 6 Angle angle NN A34005 898 7 . . . A34005 899 1 The the DT A34005 899 2 two two CD A34005 899 3 sides side NNS A34005 899 4 including include VBG A34005 899 5 the the DT A34005 899 6 angle angle NN A34005 899 7 sought seek VBN A34005 899 8 are be VBP A34005 899 9 called call VBN A34005 899 10 Leggs Leggs NNP A34005 899 11 , , , A34005 899 12 and and CC A34005 899 13 the the DT A34005 899 14 third third JJ A34005 899 15 side side NN A34005 899 16 the the DT A34005 899 17 Base Base NNP A34005 899 18 . . . A34005 900 1 As as IN A34005 900 2 the the DT A34005 900 3 Rectangle Rectangle NNP A34005 900 4 or or CC A34005 900 5 Product Product NNP A34005 900 6 of of IN A34005 900 7 the the DT A34005 900 8 Sines Sines NNPS A34005 900 9 of of IN A34005 900 10 the the DT A34005 900 11 half half JJ A34005 900 12 sum sum NN A34005 900 13 of of IN A34005 900 14 the the DT A34005 900 15 three three CD A34005 900 16 sides side NNS A34005 900 17 and and CC A34005 900 18 of of IN A34005 900 19 the the DT A34005 900 20 difference difference NN A34005 900 21 of of IN A34005 900 22 the the DT A34005 900 23 Base Base NNP A34005 900 24 therefrom therefrom NN A34005 900 25 . . . A34005 901 1 Is be VBZ A34005 901 2 to to IN A34005 901 3 the the DT A34005 901 4 Square Square NNP A34005 901 5 of of IN A34005 901 6 the the DT A34005 901 7 Radius radius NN A34005 901 8 : : : A34005 901 9 So so RB A34005 901 10 is be VBZ A34005 901 11 the the DT A34005 901 12 Rectangle Rectangle NNP A34005 901 13 of of IN A34005 901 14 the the DT A34005 901 15 sines sine NNS A34005 901 16 of of IN A34005 901 17 the the DT A34005 901 18 differences difference NNS A34005 901 19 of of IN A34005 901 20 the the DT A34005 901 21 Leggs Leggs NNP A34005 901 22 from from IN A34005 901 23 the the DT A34005 901 24 said say VBN A34005 901 25 half half NN A34005 901 26 sum sum NN A34005 901 27 , , , A34005 901 28 To to IN A34005 901 29 the the DT A34005 901 30 Square Square NNP A34005 901 31 of of IN A34005 901 32 the the DT A34005 901 33 Tangent Tangent NNP A34005 901 34 of of IN A34005 901 35 half half PDT A34005 901 36 the the DT A34005 901 37 angle angle NN A34005 901 38 sought seek VBN A34005 901 39 . . . A34005 902 1 And and CC A34005 902 2 by by IN A34005 902 3 changing change VBG A34005 902 4 the the DT A34005 902 5 third third JJ A34005 902 6 Tearm Tearm NNP A34005 902 7 into into IN A34005 902 8 the the DT A34005 902 9 place place NN A34005 902 10 of of IN A34005 902 11 the the DT A34005 902 12 first first JJ A34005 902 13 , , , A34005 902 14 As as IN A34005 902 15 the the DT A34005 902 16 Rectangle Rectangle NNP A34005 902 17 of of IN A34005 902 18 the the DT A34005 902 19 Sines Sines NNPS A34005 902 20 of of IN A34005 902 21 the the DT A34005 902 22 differences difference NNS A34005 902 23 of of IN A34005 902 24 the the DT A34005 902 25 Leggs Leggs NNP A34005 902 26 from from IN A34005 902 27 the the DT A34005 902 28 half half JJ A34005 902 29 sum sum NN A34005 902 30 of of IN A34005 902 31 the the DT A34005 902 32 3 3 CD A34005 902 33 sides side NNS A34005 902 34 , , , A34005 902 35 Is be VBZ A34005 902 36 to to IN A34005 902 37 the the DT A34005 902 38 Square Square NNP A34005 902 39 of of IN A34005 902 40 the the DT A34005 902 41 Radius radius NN A34005 902 42 : : : A34005 902 43 So so CC A34005 902 44 the the DT A34005 902 45 Rectangle Rectangle NNP A34005 902 46 of of IN A34005 902 47 the the DT A34005 902 48 Sines Sines NNPS A34005 902 49 of of IN A34005 902 50 the the DT A34005 902 51 half half JJ A34005 902 52 sum sum NN A34005 902 53 of of IN A34005 902 54 the the DT A34005 902 55 three three CD A34005 902 56 sides side NNS A34005 902 57 , , , A34005 902 58 and and CC A34005 902 59 of of IN A34005 902 60 the the DT A34005 902 61 difference difference NN A34005 902 62 of of IN A34005 902 63 the the DT A34005 902 64 Base Base NNP A34005 902 65 therefrom therefrom NN A34005 902 66 , , , A34005 902 67 To to IN A34005 902 68 the the DT A34005 902 69 Square Square NNP A34005 902 70 of of IN A34005 902 71 the the DT A34005 902 72 Tangent Tangent NNP A34005 902 73 of of IN A34005 902 74 an an DT A34005 902 75 Ark Ark NNP A34005 902 76 , , , A34005 902 77 whose whose WP$ A34005 902 78 Complement Complement NNP A34005 902 79 doubled double VBD A34005 902 80 is be VBZ A34005 902 81 the the DT A34005 902 82 angle angle NN A34005 902 83 sought seek VBN A34005 902 84 , , , A34005 902 85 or or CC A34005 902 86 this this DT A34005 902 87 Ark Ark NNP A34005 902 88 doubled double VBD A34005 902 89 is be VBZ A34005 902 90 the the DT A34005 902 91 Complement Complement NNP A34005 902 92 of of IN A34005 902 93 the the DT A34005 902 94 angle angle NN A34005 902 95 sought seek VBD A34005 902 96 to to IN A34005 902 97 180 180 CD A34005 902 98 d d NN A34005 902 99 , , , A34005 902 100 or or CC A34005 902 101 it -PRON- PRP A34005 902 102 might may MD A34005 902 103 be be VB A34005 902 104 expressed express VBN A34005 902 105 , , , A34005 902 106 To to IN A34005 902 107 the the DT A34005 902 108 Square Square NNP A34005 902 109 of of IN A34005 902 110 the the DT A34005 902 111 Cotangent Cotangent NNP A34005 902 112 of of IN A34005 902 113 half half PDT A34005 902 114 the the DT A34005 902 115 angle angle NN A34005 902 116 sought seek VBN A34005 902 117 . . . A34005 903 1 Otherways otherway NNS A34005 903 2 in in IN A34005 903 3 Sines Sines NNP A34005 903 4 . . . A34005 904 1 As as IN A34005 904 2 the the DT A34005 904 3 Rectangle Rectangle NNP A34005 904 4 of of IN A34005 904 5 the the DT A34005 904 6 Sines Sines NNPS A34005 904 7 of of IN A34005 904 8 the the DT A34005 904 9 containing contain VBG A34005 904 10 Sides Sides NNPS A34005 904 11 or or CC A34005 904 12 Leggs Leggs NNP A34005 904 13 , , , A34005 904 14 Is be VBZ A34005 904 15 to to IN A34005 904 16 the the DT A34005 904 17 Square Square NNP A34005 904 18 of of IN A34005 904 19 the the DT A34005 904 20 Radius Radius NNP A34005 904 21 ; ; : A34005 904 22 So so CC A34005 904 23 the the DT A34005 904 24 Rectangle Rectangle NNP A34005 904 25 of of IN A34005 904 26 the the DT A34005 904 27 Sines Sines NNPS A34005 904 28 of of IN A34005 904 29 the the DT A34005 904 30 differences difference NNS A34005 904 31 of of IN A34005 904 32 the the DT A34005 904 33 Leggs Leggs NNP A34005 904 34 from from IN A34005 904 35 the the DT A34005 904 36 half half JJ A34005 904 37 sum sum NN A34005 904 38 of of IN A34005 904 39 the the DT A34005 904 40 three three CD A34005 904 41 sides side NNS A34005 904 42 , , , A34005 904 43 To to IN A34005 904 44 the the DT A34005 904 45 Square Square NNP A34005 904 46 of of IN A34005 904 47 the the DT A34005 904 48 Sine Sine NNP A34005 904 49 of of IN A34005 904 50 half half PDT A34005 904 51 the the DT A34005 904 52 angle angle NN A34005 904 53 sought seek VBN A34005 904 54 . . . A34005 905 1 Or or CC A34005 905 2 the the DT A34005 905 3 Cosine Cosine NNP A34005 905 4 may may MD A34005 905 5 be be VB A34005 905 6 found find VBN A34005 905 7 . . . A34005 906 1 As as IN A34005 906 2 the the DT A34005 906 3 Rectangle Rectangle NNP A34005 906 4 of of IN A34005 906 5 the the DT A34005 906 6 Sines Sines NNPS A34005 906 7 of of IN A34005 906 8 the the DT A34005 906 9 containing contain VBG A34005 906 10 sides side NNS A34005 906 11 , , , A34005 906 12 Is be VBZ A34005 906 13 to to IN A34005 906 14 the the DT A34005 906 15 Square Square NNP A34005 906 16 of of IN A34005 906 17 the the DT A34005 906 18 Radius radius NN A34005 906 19 : : : A34005 906 20 So so CC A34005 906 21 the the DT A34005 906 22 Rectangle Rectangle NNP A34005 906 23 of of IN A34005 906 24 the the DT A34005 906 25 Sines Sines NNPS A34005 906 26 of of IN A34005 906 27 the the DT A34005 906 28 half half JJ A34005 906 29 sum sum NN A34005 906 30 of of IN A34005 906 31 the the DT A34005 906 32 3 3 CD A34005 906 33 sides side NNS A34005 906 34 , , , A34005 906 35 and and CC A34005 906 36 of of IN A34005 906 37 the the DT A34005 906 38 difference difference NN A34005 906 39 of of IN A34005 906 40 the the DT A34005 906 41 Base Base NNP A34005 906 42 therefrom therefrom NN A34005 906 43 , , , A34005 906 44 To to IN A34005 906 45 the the DT A34005 906 46 Square Square NNP A34005 906 47 of of IN A34005 906 48 the the DT A34005 906 49 Cosine Cosine NNP A34005 906 50 of of IN A34005 906 51 half half PDT A34005 906 52 the the DT A34005 906 53 angle angle NN A34005 906 54 sought seek VBN A34005 906 55 . . . A34005 907 1 These these DT A34005 907 2 two two CD A34005 907 3 latter latter JJ A34005 907 4 Proportions Proportions NNPS A34005 907 5 are be VBP A34005 907 6 demonstrated demonstrate VBN A34005 907 7 in in IN A34005 907 8 the the DT A34005 907 9 Treatises treatise NNS A34005 907 10 of of IN A34005 907 11 the the DT A34005 907 12 Lord Lord NNP A34005 907 13 Napier Napier NNP A34005 907 14 , , , A34005 907 15 Mr Mr NNP A34005 907 16 Oughtred Oughtred NNP A34005 907 17 , , , A34005 907 18 Mr Mr NNP A34005 907 19 Norwood Norwood NNP A34005 907 20 , , , A34005 907 21 and and CC A34005 907 22 are be VBP A34005 907 23 those those DT A34005 907 24 from from IN A34005 907 25 whence whence NN A34005 907 26 I -PRON- PRP A34005 907 27 shall shall MD A34005 907 28 educe educe VB A34005 907 29 the the DT A34005 907 30 Demonstrations Demonstrations NNPS A34005 907 31 of of IN A34005 907 32 the the DT A34005 907 33 rest rest NN A34005 907 34 . . . A34005 908 1 To to TO A34005 908 2 work work VB A34005 908 3 the the DT A34005 908 4 third third JJ A34005 908 5 Proportion proportion NN A34005 908 6 that that WDT A34005 908 7 finds find VBZ A34005 908 8 the the DT A34005 908 9 Square Square NNP A34005 908 10 of of IN A34005 908 11 the the DT A34005 908 12 Sine Sine NNP A34005 908 13 of of IN A34005 908 14 half half PDT A34005 908 15 the the DT A34005 908 16 angle angle NN A34005 908 17 . . . A34005 909 1 To to IN A34005 909 2 the the DT A34005 909 3 Arithmetical Arithmetical NNP A34005 909 4 Complements Complements NNPS A34005 909 5 of of IN A34005 909 6 the the DT A34005 909 7 Logarithms Logarithms NNP A34005 909 8 of of IN A34005 909 9 the the DT A34005 909 10 sines sine NNS A34005 909 11 of of IN A34005 909 12 the the DT A34005 909 13 containing contain VBG A34005 909 14 Sides Sides NNPS A34005 909 15 or or CC A34005 909 16 Leggs Leggs NNP A34005 909 17 add add VB A34005 909 18 the the DT A34005 909 19 Logarithmical Logarithmical NNP A34005 909 20 Sines Sines NNPS A34005 909 21 of of IN A34005 909 22 the the DT A34005 909 23 differences difference NNS A34005 909 24 of of IN A34005 909 25 the the DT A34005 909 26 said say VBN A34005 909 27 Leggs Leggs NNP A34005 909 28 from from IN A34005 909 29 the the DT A34005 909 30 half half JJ A34005 909 31 sum sum NN A34005 909 32 of of IN A34005 909 33 the the DT A34005 909 34 three three CD A34005 909 35 Sides Sides NNPS A34005 909 36 , , , A34005 909 37 the the DT A34005 909 38 half half JJ A34005 909 39 sum sum NN A34005 909 40 of of IN A34005 909 41 these these DT A34005 909 42 four four CD A34005 909 43 Numbers Numbers NNPS A34005 909 44 will will MD A34005 909 45 be be VB A34005 909 46 the the DT A34005 909 47 Logarithm Logarithm NNP A34005 909 48 of of IN A34005 909 49 the the DT A34005 909 50 sine sine NN A34005 909 51 of of IN A34005 909 52 half half PDT A34005 909 53 the the DT A34005 909 54 angle angle NN A34005 909 55 sought seek VBN A34005 909 56 . . . A34005 910 1 In in IN A34005 910 2 the the DT A34005 910 3 Triangle Triangle NNP A34005 910 4 ☉ ☉ NNP A34005 910 5 Z Z NNP A34005 910 6 P P NNP A34005 910 7 , , , A34005 910 8 Data Data NNP A34005 910 9 , , , A34005 910 10 the the DT A34005 910 11 three three CD A34005 910 12 Sides Sides NNPS A34005 910 13 to to TO A34005 910 14 find find VB A34005 910 15 the the DT A34005 910 16 angle angle NN A34005 910 17 a a DT A34005 910 18 P p NN A34005 910 19 the the DT A34005 910 20 hour hour NN A34005 910 21 from from IN A34005 910 22 noon noon NN A34005 910 23 . . . A34005 911 1 80 80 CD A34005 911 2 d d CD A34005 911 3 31′ 31′ CD A34005 911 4 Base Base NNP A34005 911 5 66 66 CD A34005 911 6 29 29 CD A34005 911 7 Leggs Leggs NNP A34005 911 8 — — : A34005 911 9 Ar Ar NNP A34005 911 10 comp comp NNP A34005 911 11 , , , A34005 911 12 0376572 0376572 CD A34005 911 13 38 38 CD A34005 911 14 28 28 CD A34005 911 15 Leggs Leggs NNP A34005 911 16 — — : A34005 911 17 Ar Ar NNP A34005 911 18 comp comp NNP A34005 911 19 , , , A34005 911 20 2061683 2061683 CD A34005 911 21 Sum-185 sum-185 CD A34005 911 22 , , , A34005 911 23 28 28 CD A34005 911 24 difference difference NN A34005 911 25 of of IN A34005 911 26 the the DT A34005 911 27 Leggs Leggs NNP A34005 911 28 half-92 half-92 NNS A34005 911 29 44 44 CD A34005 911 30 from from IN A34005 911 31 half half JJ A34005 911 32 sum sum NN A34005 911 33 — — : A34005 911 34 26d 26d CD A34005 911 35 15′ 15′ CD A34005 911 36 Sine Sine NNP A34005 911 37 9,6457058 9,6457058 NNP A34005 911 38 54 54 CD A34005 911 39 , , , A34005 911 40 16 16 CD A34005 911 41 Sine Sine NNP A34005 911 42 9,9094190 9,9094190 NNP A34005 911 43 Sum Sum NNP A34005 911 44 — — : A34005 911 45 19,7989503 19,7989503 NNP A34005 911 46 Sine Sine NNP A34005 911 47 of of IN A34005 911 48 52 52 CD A34005 911 49 d d SYM A34005 911 50 30′ 30′ CD A34005 911 51 half half NN A34005 911 52 — — : A34005 911 53 9,8994751 9,8994751 NN A34005 911 54 doubled double VBD A34005 911 55 105 105 CD A34005 911 56 , , , A34005 911 57 the the DT A34005 911 58 angle angle NN A34005 911 59 at at IN A34005 911 60 P p NN A34005 911 61 sought seek VBD A34005 911 62 . . . A34005 912 1 The the DT A34005 912 2 Arithmetical Arithmetical NNP A34005 912 3 Complement Complement NNP A34005 912 4 of of IN A34005 912 5 a a DT A34005 912 6 Logarithm Logarithm NNP A34005 912 7 , , , A34005 912 8 is be VBZ A34005 912 9 the the DT A34005 912 10 residue residue NN A34005 912 11 of of IN A34005 912 12 that that IN A34005 912 13 Logarithm Logarithm NNP A34005 912 14 from from IN A34005 912 15 the the DT A34005 912 16 next next RB A34005 912 17 bigger big JJR A34005 912 18 Number number NN A34005 912 19 , , , A34005 912 20 consisting consist VBG A34005 912 21 of of IN A34005 912 22 an an DT A34005 912 23 Unite Unite NNP A34005 912 24 and and CC A34005 912 25 Ciphers Ciphers NNPS A34005 912 26 . . . A34005 913 1 Otherwise otherwise RB A34005 913 2 for for IN A34005 913 3 Instruments Instruments NNPS A34005 913 4 . . . A34005 914 1 As as IN A34005 914 2 the the DT A34005 914 3 difference difference NN A34005 914 4 of of IN A34005 914 5 the the DT A34005 914 6 Versed Versed NNP A34005 914 7 Sines Sines NNPS A34005 914 8 of of IN A34005 914 9 the the DT A34005 914 10 sum sum NN A34005 914 11 , , , A34005 914 12 and and CC A34005 914 13 of of IN A34005 914 14 the the DT A34005 914 15 difference difference NN A34005 914 16 of of IN A34005 914 17 any any DT A34005 914 18 two two CD A34005 914 19 sides side NNS A34005 914 20 including include VBG A34005 914 21 an an DT A34005 914 22 angle angle NN A34005 914 23 , , , A34005 914 24 Is be VBZ A34005 914 25 to to IN A34005 914 26 the the DT A34005 914 27 Diameter diameter NN A34005 914 28 , , , A34005 914 29 Or or CC A34005 914 30 , , , A34005 914 31 As as IN A34005 914 32 the the DT A34005 914 33 sine sine NN A34005 914 34 of of IN A34005 914 35 one one CD A34005 914 36 of of IN A34005 914 37 the the DT A34005 914 38 said say VBN A34005 914 39 sides side NNS A34005 914 40 , , , A34005 914 41 To to IN A34005 914 42 the the DT A34005 914 43 Secant Secant NNP A34005 914 44 of of IN A34005 914 45 the the DT A34005 914 46 Complement Complement NNP A34005 914 47 of of IN A34005 914 48 the the DT A34005 914 49 other other JJ A34005 914 50 . . . A34005 915 1 So so RB A34005 915 2 is be VBZ A34005 915 3 the the DT A34005 915 4 difference difference NN A34005 915 5 of of IN A34005 915 6 the the DT A34005 915 7 Versed Versed NNP A34005 915 8 Sines Sines NNPS A34005 915 9 of of IN A34005 915 10 the the DT A34005 915 11 third third JJ A34005 915 12 side side NN A34005 915 13 , , , A34005 915 14 and and CC A34005 915 15 of of IN A34005 915 16 the the DT A34005 915 17 Ark Ark NNP A34005 915 18 of of IN A34005 915 19 difference difference NN A34005 915 20 between between IN A34005 915 21 the the DT A34005 915 22 two two CD A34005 915 23 including include VBG A34005 915 24 sides side NNS A34005 915 25 , , , A34005 915 26 To to IN A34005 915 27 the the DT A34005 915 28 Versed Versed NNP A34005 915 29 Sine Sine NNP A34005 915 30 of of IN A34005 915 31 the the DT A34005 915 32 angle angle NN A34005 915 33 sought seek VBN A34005 915 34 . . . A34005 916 1 And and CC A34005 916 2 so so RB A34005 916 3 is be VBZ A34005 916 4 the the DT A34005 916 5 difference difference NN A34005 916 6 of of IN A34005 916 7 the the DT A34005 916 8 Versed Versed NNP A34005 916 9 Sines Sines NNPS A34005 916 10 of of IN A34005 916 11 the the DT A34005 916 12 third third JJ A34005 916 13 , , , A34005 916 14 and and CC A34005 916 15 of of IN A34005 916 16 the the DT A34005 916 17 sum sum NN A34005 916 18 of of IN A34005 916 19 the the DT A34005 916 20 two two CD A34005 916 21 including include VBG A34005 916 22 sides side NNS A34005 916 23 , , , A34005 916 24 To to IN A34005 916 25 the the DT A34005 916 26 versed versed JJ A34005 916 27 Sine Sine NNP A34005 916 28 of of IN A34005 916 29 the the DT A34005 916 30 sought seek VBN A34005 916 31 angles angle NNS A34005 916 32 Complement Complement NNP A34005 916 33 to to IN A34005 916 34 180d 180d NNPS A34005 916 35 . . . A34005 917 1 12 12 CD A34005 917 2 . . . A34005 918 1 Three three CD A34005 918 2 Angles Angles NNPS A34005 918 3 to to TO A34005 918 4 find find VB A34005 918 5 a a DT A34005 918 6 Side side NN A34005 918 7 . . . A34005 919 1 The the DT A34005 919 2 work work NN A34005 919 3 here here RB A34005 919 4 for for IN A34005 919 5 the the DT A34005 919 6 Canon Canon NNP A34005 919 7 or or CC A34005 919 8 Tables Tables NNPS A34005 919 9 , , , A34005 919 10 will will MD A34005 919 11 be be VB A34005 919 12 by by IN A34005 919 13 changing change VBG A34005 919 14 the the DT A34005 919 15 Angles angle NNS A34005 919 16 into into IN A34005 919 17 Sides side NNS A34005 919 18 , , , A34005 919 19 the the DT A34005 919 20 general general JJ A34005 919 21 Rule Rule NNP A34005 919 22 for for IN A34005 919 23 changing change VBG A34005 919 24 all all PDT A34005 919 25 the the DT A34005 919 26 parts part NNS A34005 919 27 of of IN A34005 919 28 a a DT A34005 919 29 Triangle Triangle NNP A34005 919 30 , , , A34005 919 31 is be VBZ A34005 919 32 to to TO A34005 919 33 draw draw VB A34005 919 34 a a DT A34005 919 35 new new JJ A34005 919 36 Triangle Triangle NNP A34005 919 37 , , , A34005 919 38 and and CC A34005 919 39 let let VB A34005 919 40 the the DT A34005 919 41 angles angle NNS A34005 919 42 be be VB A34005 919 43 wrot wrot JJ A34005 919 44 against against IN A34005 919 45 their -PRON- PRP$ A34005 919 46 Opposite opposite JJ A34005 919 47 sides side NNS A34005 919 48 , , , A34005 919 49 and and CC A34005 919 50 these these DT A34005 919 51 against against IN A34005 919 52 those those DT A34005 919 53 , , , A34005 919 54 only only RB A34005 919 55 taking take VBG A34005 919 56 the the DT A34005 919 57 Complements Complements NNPS A34005 919 58 of of IN A34005 919 59 the the DT A34005 919 60 greatest great JJS A34005 919 61 Angle Angle NNP A34005 919 62 , , , A34005 919 63 and and CC A34005 919 64 greatest great JJS A34005 919 65 side side NN A34005 919 66 opposed oppose VBD A34005 919 67 thereto thereto NN A34005 919 68 to to IN A34005 919 69 180 180 CD A34005 919 70 d d NNS A34005 919 71 , , , A34005 919 72 this this DT A34005 919 73 for for IN A34005 919 74 most most JJS A34005 919 75 convenience convenience NN A34005 919 76 that that IN A34005 919 77 the the DT A34005 919 78 sides side NNS A34005 919 79 or or CC A34005 919 80 angles angle NNS A34005 919 81 of of IN A34005 919 82 the the DT A34005 919 83 new new JJ A34005 919 84 framed frame VBN A34005 919 85 Triangle Triangle NNP A34005 919 86 may may MD A34005 919 87 not not RB A34005 919 88 be be VB A34005 919 89 too too RB A34005 919 90 large large JJ A34005 919 91 , , , A34005 919 92 and and CC A34005 919 93 so so RB A34005 919 94 cause cause VB A34005 919 95 recourse recourse RB A34005 919 96 to to IN A34005 919 97 the the DT A34005 919 98 Opposite Opposite NNP A34005 919 99 Triangle Triangle NNP A34005 919 100 , , , A34005 919 101 otherwise otherwise RB A34005 919 102 the the DT A34005 919 103 Complements Complements NNPS A34005 919 104 of of IN A34005 919 105 any any DT A34005 919 106 side side NN A34005 919 107 and and CC A34005 919 108 its -PRON- PRP$ A34005 919 109 opposite opposite JJ A34005 919 110 angle angle NN A34005 919 111 to to IN A34005 919 112 180 180 CD A34005 919 113 d d NN A34005 919 114 ▪ ▪ NN A34005 919 115 might may MD A34005 919 116 as as RB A34005 919 117 well well RB A34005 919 118 have have VB A34005 919 119 been be VBN A34005 919 120 taken take VBN A34005 919 121 . . . A34005 920 1 But but CC A34005 920 2 for for IN A34005 920 3 this this DT A34005 920 4 Case Case NNP A34005 920 5 , , , A34005 920 6 seeing see VBG A34005 920 7 there there EX A34005 920 8 are be VBP A34005 920 9 only only RB A34005 920 10 angles angle NNS A34005 920 11 to to TO A34005 920 12 be be VB A34005 920 13 changed change VBN A34005 920 14 into into IN A34005 920 15 sides side NNS A34005 920 16 , , , A34005 920 17 take take VB A34005 920 18 the the DT A34005 920 19 Complement Complement NNP A34005 920 20 of of IN A34005 920 21 the the DT A34005 920 22 greatest great JJS A34005 920 23 angle angle NN A34005 920 24 to to IN A34005 920 25 180 180 CD A34005 920 26 d d NNS A34005 920 27 and and CC A34005 920 28 proceed proceed NN A34005 920 29 as as IN A34005 920 30 if if IN A34005 920 31 there there EX A34005 920 32 were be VBD A34005 920 33 three three CD A34005 920 34 sides side NNS A34005 920 35 given give VBN A34005 920 36 to to TO A34005 920 37 find find VB A34005 920 38 an an DT A34005 920 39 angle angle NN A34005 920 40 . . . A34005 921 1 But but CC A34005 921 2 the the DT A34005 921 3 Proportion proportion NN A34005 921 4 in in IN A34005 921 5 Versed Versed NNP A34005 921 6 Sines Sines NNP A34005 921 7 , , , A34005 921 8 & & CC A34005 921 9 c. c. NNP A34005 921 10 without without IN A34005 921 11 any any DT A34005 921 12 such such JJ A34005 921 13 change change NN A34005 921 14 will will MD A34005 921 15 be be VB A34005 921 16 , , , A34005 921 17 As as IN A34005 921 18 the the DT A34005 921 19 difference difference NN A34005 921 20 of of IN A34005 921 21 the the DT A34005 921 22 Versed Versed NNP A34005 921 23 Sines Sines NNPS A34005 921 24 of of IN A34005 921 25 the the DT A34005 921 26 sum sum NN A34005 921 27 , , , A34005 921 28 and and CC A34005 921 29 of of IN A34005 921 30 the the DT A34005 921 31 difference difference NN A34005 921 32 of of IN A34005 921 33 any any DT A34005 921 34 two two CD A34005 921 35 angles angle NNS A34005 921 36 adjacent adjacent JJ A34005 921 37 to to IN A34005 921 38 the the DT A34005 921 39 side side NN A34005 921 40 sought seek VBN A34005 921 41 . . . A34005 922 1 Is be VBZ A34005 922 2 to to IN A34005 922 3 the the DT A34005 922 4 Diameter diameter NN A34005 922 5 , , , A34005 922 6 Or or CC A34005 922 7 , , , A34005 922 8 As as IN A34005 922 9 the the DT A34005 922 10 Sine Sine NNP A34005 922 11 of of IN A34005 922 12 one one CD A34005 922 13 of of IN A34005 922 14 the the DT A34005 922 15 said say VBN A34005 922 16 angles angle NNS A34005 922 17 , , , A34005 922 18 Is be VBZ A34005 922 19 to to IN A34005 922 20 the the DT A34005 922 21 Cosecant Cosecant NNP A34005 922 22 of of IN A34005 922 23 the the DT A34005 922 24 other other JJ A34005 922 25 : : : A34005 922 26 So so RB A34005 922 27 is be VBZ A34005 922 28 the the DT A34005 922 29 difference difference NN A34005 922 30 of of IN A34005 922 31 the the DT A34005 922 32 Versed Versed NNP A34005 922 33 Sines Sines NNPS A34005 922 34 of of IN A34005 922 35 the the DT A34005 922 36 third third JJ A34005 922 37 or or CC A34005 922 38 Opposite opposite JJ A34005 922 39 angle angle NN A34005 922 40 , , , A34005 922 41 and and CC A34005 922 42 of of IN A34005 922 43 an an DT A34005 922 44 Ark Ark NNP A34005 922 45 left leave VBN A34005 922 46 by by IN A34005 922 47 substracting substracte VBG A34005 922 48 one one CD A34005 922 49 of of IN A34005 922 50 the the DT A34005 922 51 including include VBG A34005 922 52 angles angle NNS A34005 922 53 from from IN A34005 922 54 the the DT A34005 922 55 Complement Complement NNP A34005 922 56 of of IN A34005 922 57 the the DT A34005 922 58 other other JJ A34005 922 59 to to IN A34005 922 60 a a DT A34005 922 61 Semicircle Semicircle NNP A34005 922 62 , , , A34005 922 63 To to IN A34005 922 64 the the DT A34005 922 65 Versed Versed NNP A34005 922 66 Sine Sine NNP A34005 922 67 of of IN A34005 922 68 the the DT A34005 922 69 side side NN A34005 922 70 sought seek VBD A34005 922 71 . . . A34005 923 1 And and CC A34005 923 2 so so RB A34005 923 3 is be VBZ A34005 923 4 the the DT A34005 923 5 difference difference NN A34005 923 6 of of IN A34005 923 7 the the DT A34005 923 8 Versed Versed NNP A34005 923 9 Sines Sines NNPS A34005 923 10 of of IN A34005 923 11 the the DT A34005 923 12 third third JJ A34005 923 13 angle angle NN A34005 923 14 , , , A34005 923 15 and and CC A34005 923 16 of of IN A34005 923 17 an an DT A34005 923 18 Ark Ark NNP A34005 923 19 made make VBN A34005 923 20 by by IN A34005 923 21 adding add VBG A34005 923 22 one one CD A34005 923 23 of of IN A34005 923 24 the the DT A34005 923 25 including include VBG A34005 923 26 Angles angle NNS A34005 923 27 to to IN A34005 923 28 the the DT A34005 923 29 Complement Complement NNP A34005 923 30 of of IN A34005 923 31 the the DT A34005 923 32 other other JJ A34005 923 33 to to IN A34005 923 34 a a DT A34005 923 35 Semicircle Semicircle NNP A34005 923 36 . . . A34005 924 1 To to IN A34005 924 2 the the DT A34005 924 3 Versed Versed NNP A34005 924 4 Sine Sine NNP A34005 924 5 of of IN A34005 924 6 the the DT A34005 924 7 sought seek VBN A34005 924 8 sides side NNS A34005 924 9 Complement Complement NNP A34005 924 10 to to IN A34005 924 11 180d 180d NNPS A34005 924 12 . . . A34005 925 1 Thus thus RB A34005 925 2 having have VBG A34005 925 3 finished finish VBN A34005 925 4 the the DT A34005 925 5 Cases case NNS A34005 925 6 , , , A34005 925 7 it -PRON- PRP A34005 925 8 is be VBZ A34005 925 9 to to TO A34005 925 10 be be VB A34005 925 11 intimated intimate VBN A34005 925 12 that that IN A34005 925 13 the the DT A34005 925 14 Proportions Proportions NNPS A34005 925 15 here here RB A34005 925 16 used use VBN A34005 925 17 in in IN A34005 925 18 Versed Versed NNP A34005 925 19 Sines Sines NNPS A34005 925 20 are be VBP A34005 925 21 variously variously RB A34005 925 22 demonstrated demonstrate VBN A34005 925 23 in in IN A34005 925 24 diverse diverse JJ A34005 925 25 Writers writer NNS A34005 925 26 , , , A34005 925 27 but but CC A34005 925 28 in in IN A34005 925 29 most most JJS A34005 925 30 the the DT A34005 925 31 latter latter JJ A34005 925 32 part part NN A34005 925 33 for for IN A34005 925 34 finding find VBG A34005 925 35 the the DT A34005 925 36 Complement Complement NNP A34005 925 37 of of IN A34005 925 38 an an DT A34005 925 39 angle angle NN A34005 925 40 to to IN A34005 925 41 180d 180d NNPS A34005 925 42 , , , A34005 925 43 is be VBZ A34005 925 44 quite quite RB A34005 925 45 omitted omit VBN A34005 925 46 , , , A34005 925 47 those those DT A34005 925 48 that that WDT A34005 925 49 have have VBP A34005 925 50 demonstrated demonstrate VBN A34005 925 51 the the DT A34005 925 52 former former JJ A34005 925 53 part part NN A34005 925 54 , , , A34005 925 55 do do VB A34005 925 56 it -PRON- PRP A34005 925 57 in in IN A34005 925 58 these these DT A34005 925 59 tearms tearm NNS A34005 925 60 following follow VBG A34005 925 61 . . . A34005 926 1 As as IN A34005 926 2 the the DT A34005 926 3 Rectangle Rectangle NNP A34005 926 4 of of IN A34005 926 5 the the DT A34005 926 6 sines sine NNS A34005 926 7 of of IN A34005 926 8 the the DT A34005 926 9 containing contain VBG A34005 926 10 sides side NNS A34005 926 11 , , , A34005 926 12 Is be VBZ A34005 926 13 to to IN A34005 926 14 the the DT A34005 926 15 Square Square NNP A34005 926 16 of of IN A34005 926 17 the the DT A34005 926 18 Radius radius NN A34005 926 19 : : : A34005 926 20 So so RB A34005 926 21 is be VBZ A34005 926 22 the the DT A34005 926 23 difference difference NN A34005 926 24 of of IN A34005 926 25 the the DT A34005 926 26 Versed Versed NNP A34005 926 27 Sines Sines NNPS A34005 926 28 of of IN A34005 926 29 the the DT A34005 926 30 Base Base NNP A34005 926 31 , , , A34005 926 32 or or CC A34005 926 33 third third JJ A34005 926 34 Side side NN A34005 926 35 , , , A34005 926 36 and and CC A34005 926 37 of of IN A34005 926 38 the the DT A34005 926 39 Ark Ark NNP A34005 926 40 of of IN A34005 926 41 difference difference NN A34005 926 42 between between IN A34005 926 43 the the DT A34005 926 44 two two CD A34005 926 45 including include VBG A34005 926 46 sides side NNS A34005 926 47 , , , A34005 926 48 To to IN A34005 926 49 the the DT A34005 926 50 Versed Versed NNP A34005 926 51 Sine Sine NNP A34005 926 52 of of IN A34005 926 53 the the DT A34005 926 54 angle angle NN A34005 926 55 sought seek VBD A34005 926 56 , , , A34005 926 57 which which WDT A34005 926 58 the the DT A34005 926 59 Reader reader NN A34005 926 60 may may MD A34005 926 61 see see VB A34005 926 62 in in IN A34005 926 63 Lansberg Lansberg NNP A34005 926 64 , , , A34005 926 65 Regiomantanus Regiomantanus NNP A34005 926 66 , , , A34005 926 67 Snellius Snellius NNP A34005 926 68 , , , A34005 926 69 Pitiscus Pitiscus NNP A34005 926 70 , , , A34005 926 71 and and CC A34005 926 72 the the DT A34005 926 73 learned learn VBN A34005 926 74 Clavius Clavius NNP A34005 926 75 , , , A34005 926 76 who who WP A34005 926 77 makes make VBZ A34005 926 78 15 15 CD A34005 926 79 Cases case NNS A34005 926 80 , , , A34005 926 81 and and CC A34005 926 82 twice twice PDT A34005 926 83 as as RB A34005 926 84 many many JJ A34005 926 85 Scheams scheam NNS A34005 926 86 , , , A34005 926 87 to to TO A34005 926 88 demonstrate demonstrate VB A34005 926 89 this this DT A34005 926 90 part part NN A34005 926 91 of of IN A34005 926 92 it -PRON- PRP A34005 926 93 . . . A34005 927 1 I -PRON- PRP A34005 927 2 shall shall MD A34005 927 3 only only RB A34005 927 4 shew shew VB A34005 927 5 how how WRB A34005 927 6 it -PRON- PRP A34005 927 7 may may MD A34005 927 8 be be VB A34005 927 9 inferred infer VBN A34005 927 10 from from IN A34005 927 11 the the DT A34005 927 12 common common JJ A34005 927 13 Proportions Proportions NNPS A34005 927 14 in in IN A34005 927 15 use use NN A34005 927 16 fitted fit VBN A34005 927 17 to to IN A34005 927 18 the the DT A34005 927 19 Tables Tables NNPS A34005 927 20 demonstrated demonstrate VBN A34005 927 21 by by IN A34005 927 22 the the DT A34005 927 23 Lord Lord NNP A34005 927 24 Napier Napier NNP A34005 927 25 , , , A34005 927 26 Mr Mr NNP A34005 927 27 Oughtred Oughtred NNP A34005 927 28 , , , A34005 927 29 Mr. Mr. NNP A34005 927 30 Norwood Norwood NNP A34005 927 31 . . . A34005 928 1 We -PRON- PRP A34005 928 2 have have VBP A34005 928 3 two two CD A34005 928 4 Proportions Proportions NNPS A34005 928 5 delivered deliver VBN A34005 928 6 in in IN A34005 928 7 Rectangles Rectangles NNPS A34005 928 8 and and CC A34005 928 9 Squares square NNS A34005 928 10 the the DT A34005 928 11 one one CD A34005 928 12 for for IN A34005 928 13 finding find VBG A34005 928 14 an an DT A34005 928 15 angle angle NN A34005 928 16 , , , A34005 928 17 the the DT A34005 928 18 other other JJ A34005 928 19 to to TO A34005 928 20 find find VB A34005 928 21 its -PRON- PRP$ A34005 928 22 Complement Complement NNP A34005 928 23 to to IN A34005 928 24 180d 180d NNPS A34005 928 25 . . . A34005 929 1 The the DT A34005 929 2 two two CD A34005 929 3 first first JJ A34005 929 4 tearms tearm NNS A34005 929 5 are be VBP A34005 929 6 the the DT A34005 929 7 Proportion proportion NN A34005 929 8 between between IN A34005 929 9 the the DT A34005 929 10 Rectangle Rectangle NNP A34005 929 11 of of IN A34005 929 12 the the DT A34005 929 13 Sines Sines NNPS A34005 929 14 of of IN A34005 929 15 the the DT A34005 929 16 containing contain VBG A34005 929 17 sides side NNS A34005 929 18 , , , A34005 929 19 and and CC A34005 929 20 the the DT A34005 929 21 Square Square NNP A34005 929 22 of of IN A34005 929 23 the the DT A34005 929 24 Radius Radius NNP A34005 929 25 ; ; : A34005 929 26 these these DT A34005 929 27 two two CD A34005 929 28 tearms tearm NNS A34005 929 29 being be VBG A34005 929 30 divided divide VBN A34005 929 31 by by IN A34005 929 32 the the DT A34005 929 33 Sine Sine NNP A34005 929 34 of of IN A34005 929 35 one one CD A34005 929 36 of of IN A34005 929 37 those those DT A34005 929 38 sides side NNS A34005 929 39 , , , A34005 929 40 the the DT A34005 929 41 Quotient Quotient NNP A34005 929 42 will will MD A34005 929 43 be be VB A34005 929 44 the the DT A34005 929 45 Sine Sine NNP A34005 929 46 of of IN A34005 929 47 the the DT A34005 929 48 other other JJ A34005 929 49 , , , A34005 929 50 if if IN A34005 929 51 the the DT A34005 929 52 same same JJ A34005 929 53 Divisor Divisor NNP A34005 929 54 divide divide NN A34005 929 55 the the DT A34005 929 56 Square Square NNP A34005 929 57 of of IN A34005 929 58 the the DT A34005 929 59 Radius Radius NNP A34005 929 60 , , , A34005 929 61 the the DT A34005 929 62 Quotient Quotient NNP A34005 929 63 will will MD A34005 929 64 be be VB A34005 929 65 the the DT A34005 929 66 Secant Secant NNP A34005 929 67 of of IN A34005 929 68 the the DT A34005 929 69 Complement Complement NNP A34005 929 70 of of IN A34005 929 71 the the DT A34005 929 72 Ark Ark NNP A34005 929 73 belonging belong VBG A34005 929 74 to to IN A34005 929 75 the the DT A34005 929 76 Divisor Divisor NNP A34005 929 77 , , , A34005 929 78 because because IN A34005 929 79 , , , A34005 929 80 As as IN A34005 929 81 the the DT A34005 929 82 Sine Sine NNP A34005 929 83 of of IN A34005 929 84 an an DT A34005 929 85 Ark Ark NNP A34005 929 86 , , , A34005 929 87 To to IN A34005 929 88 Radius Radius NNP A34005 929 89 , , , A34005 929 90 So so RB A34005 929 91 is be VBZ A34005 929 92 the the DT A34005 929 93 Radius Radius NNP A34005 929 94 , , , A34005 929 95 To to IN A34005 929 96 the the DT A34005 929 97 Secant secant NN A34005 929 98 of of IN A34005 929 99 that that DT A34005 929 100 Arks Arks NNP A34005 929 101 Complement Complement NNP A34005 929 102 ; ; : A34005 929 103 But but CC A34005 929 104 if if IN A34005 929 105 any any DT A34005 929 106 common common JJ A34005 929 107 Divisor Divisor NNP A34005 929 108 divide divide NN A34005 929 109 any any DT A34005 929 110 two two CD A34005 929 111 Tearms tearm NNS A34005 929 112 of of IN A34005 929 113 a a DT A34005 929 114 Proportion proportion NN A34005 929 115 , , , A34005 929 116 the the DT A34005 929 117 Dividends dividend NNS A34005 929 118 will will MD A34005 929 119 be be VB A34005 929 120 Acquimultiplex Acquimultiplex NNP A34005 929 121 to to IN A34005 929 122 the the DT A34005 929 123 Quotients Quotients NNPS A34005 929 124 ; ; : A34005 929 125 and and CC A34005 929 126 therefore therefore RB A34005 929 127 by by IN A34005 929 128 the the DT A34005 929 129 Quotients Quotients NNP A34005 929 130 will will MD A34005 929 131 bear bear VB A34005 929 132 such such JJ A34005 929 133 Proportion proportion NN A34005 929 134 each each DT A34005 929 135 to to IN A34005 929 136 other other JJ A34005 929 137 as as IN A34005 929 138 the the DT A34005 929 139 Dividends Dividends NNPS A34005 929 140 , , , A34005 929 141 and and CC A34005 929 142 therefore therefore RB A34005 929 143 it -PRON- PRP A34005 929 144 holds hold VBZ A34005 929 145 , , , A34005 929 146 As as IN A34005 929 147 the the DT A34005 929 148 Rectangle Rectangle NNP A34005 929 149 of of IN A34005 929 150 the the DT A34005 929 151 Sines Sines NNPS A34005 929 152 of of IN A34005 929 153 the the DT A34005 929 154 containing contain VBG A34005 929 155 sides side NNS A34005 929 156 , , , A34005 929 157 Is be VBZ A34005 929 158 to to IN A34005 929 159 the the DT A34005 929 160 Square Square NNP A34005 929 161 of of IN A34005 929 162 the the DT A34005 929 163 Radius radius NN A34005 929 164 : : : A34005 929 165 So so RB A34005 929 166 is be VBZ A34005 929 167 the the DT A34005 929 168 Sine Sine NNP A34005 929 169 of of IN A34005 929 170 one one CD A34005 929 171 of of IN A34005 929 172 those those DT A34005 929 173 sides side NNS A34005 929 174 , , , A34005 929 175 To to IN A34005 929 176 the the DT A34005 929 177 Secant Secant NNP A34005 929 178 of of IN A34005 929 179 the the DT A34005 929 180 Complement Complement NNP A34005 929 181 of of IN A34005 929 182 the the DT A34005 929 183 other other JJ A34005 929 184 . . . A34005 930 1 Again again RB A34005 930 2 , , , A34005 930 3 for for IN A34005 930 4 the the DT A34005 930 5 third third JJ A34005 930 6 Tearm Tearm NNP A34005 930 7 , , , A34005 930 8 to to TO A34005 930 9 find find VB A34005 930 10 an an DT A34005 930 11 angle angle NN A34005 930 12 it -PRON- PRP A34005 930 13 is be VBZ A34005 930 14 proposed propose VBN A34005 930 15 . . . A34005 931 1 So so RB A34005 931 2 is be VBZ A34005 931 3 the the DT A34005 931 4 Restangle Restangle NNP A34005 931 5 of of IN A34005 931 6 the the DT A34005 931 7 Sines Sines NNPS A34005 931 8 of of IN A34005 931 9 the the DT A34005 931 10 differences difference NNS A34005 931 11 of of IN A34005 931 12 the the DT A34005 931 13 Leggs Leggs NNP A34005 931 14 from from IN A34005 931 15 the the DT A34005 931 16 half half JJ A34005 931 17 sum sum NN A34005 931 18 of of IN A34005 931 19 the the DT A34005 931 20 three three CD A34005 931 21 sides side NNS A34005 931 22 . . . A34005 932 1 Or or CC A34005 932 2 which which WDT A34005 932 3 is be VBZ A34005 932 4 all all DT A34005 932 5 one one CD A34005 932 6 , , , A34005 932 7 So so RB A34005 932 8 is be VBZ A34005 932 9 the the DT A34005 932 10 Rectangle Rectangle NNP A34005 932 11 of of IN A34005 932 12 the the DT A34005 932 13 Sines Sines NNPS A34005 932 14 of of IN A34005 932 15 the the DT A34005 932 16 half half JJ A34005 932 17 sum sum NN A34005 932 18 , , , A34005 932 19 and and CC A34005 932 20 half half NN A34005 932 21 difference difference NN A34005 932 22 of of IN A34005 932 23 the the DT A34005 932 24 Base Base NNP A34005 932 25 or or CC A34005 932 26 third third JJ A34005 932 27 side side NN A34005 932 28 , , , A34005 932 29 and and CC A34005 932 30 of of IN A34005 932 31 the the DT A34005 932 32 Ark Ark NNP A34005 932 33 of of IN A34005 932 34 difference difference NN A34005 932 35 between between IN A34005 932 36 the the DT A34005 932 37 two two CD A34005 932 38 including include VBG A34005 932 39 sides side NNS A34005 932 40 , , , A34005 932 41 To to IN A34005 932 42 the the DT A34005 932 43 Square Square NNP A34005 932 44 of of IN A34005 932 45 the the DT A34005 932 46 Sine Sine NNP A34005 932 47 of of IN A34005 932 48 half half PDT A34005 932 49 the the DT A34005 932 50 angle angle NN A34005 932 51 sought seek VBN A34005 932 52 , , , A34005 932 53 And and CC A34005 932 54 so so RB A34005 932 55 to to TO A34005 932 56 find find VB A34005 932 57 the the DT A34005 932 58 Complement Complement NNP A34005 932 59 of of IN A34005 932 60 an an DT A34005 932 61 angle angle NN A34005 932 62 to to IN A34005 932 63 180 180 CD A34005 932 64 d. d. NNP A34005 932 65 So so RB A34005 932 66 is be VBZ A34005 932 67 the the DT A34005 932 68 Rectangle Rectangle NNP A34005 932 69 of of IN A34005 932 70 the the DT A34005 932 71 Sines Sines NNPS A34005 932 72 of of IN A34005 932 73 the the DT A34005 932 74 half half JJ A34005 932 75 sum sum NN A34005 932 76 of of IN A34005 932 77 the the DT A34005 932 78 three three CD A34005 932 79 sides side NNS A34005 932 80 , , , A34005 932 81 and and CC A34005 932 82 of of IN A34005 932 83 the the DT A34005 932 84 difference difference NN A34005 932 85 of of IN A34005 932 86 the the DT A34005 932 87 third third JJ A34005 932 88 side side NN A34005 932 89 or or CC A34005 932 90 Base Base NNP A34005 932 91 therefrom therefrom NN A34005 932 92 , , , A34005 932 93 Or or CC A34005 932 94 which which WDT A34005 932 95 is be VBZ A34005 932 96 equivalent equivalent JJ A34005 932 97 thereto thereto NN A34005 932 98 , , , A34005 932 99 So so RB A34005 932 100 is be VBZ A34005 932 101 the the DT A34005 932 102 Rectangle Rectangle NNP A34005 932 103 of of IN A34005 932 104 the the DT A34005 932 105 Sines Sines NNPS A34005 932 106 of of IN A34005 932 107 the the DT A34005 932 108 half half JJ A34005 932 109 sum sum NN A34005 932 110 , , , A34005 932 111 and and CC A34005 932 112 half half NN A34005 932 113 difference difference NN A34005 932 114 of of IN A34005 932 115 the the DT A34005 932 116 Base Base NNP A34005 932 117 or or CC A34005 932 118 third third JJ A34005 932 119 side side NN A34005 932 120 , , , A34005 932 121 and and CC A34005 932 122 of of IN A34005 932 123 the the DT A34005 932 124 sum sum NN A34005 932 125 of of IN A34005 932 126 the the DT A34005 932 127 two two CD A34005 932 128 including include VBG A34005 932 129 sides side NNS A34005 932 130 , , , A34005 932 131 To to IN A34005 932 132 the the DT A34005 932 133 Square Square NNP A34005 932 134 of of IN A34005 932 135 the the DT A34005 932 136 Sine Sine NNP A34005 932 137 of of IN A34005 932 138 an an DT A34005 932 139 Ark Ark NNP A34005 932 140 , , , A34005 932 141 which which WDT A34005 932 142 doubled double VBD A34005 932 143 is be VBZ A34005 932 144 the the DT A34005 932 145 Complement Complement NNP A34005 932 146 of of IN A34005 932 147 the the DT A34005 932 148 angle angle NN A34005 932 149 sought seek VBD A34005 932 150 to to IN A34005 932 151 180 180 CD A34005 932 152 d d NN A34005 932 153 , , , A34005 932 154 or or CC A34005 932 155 the the DT A34005 932 156 Complement Complement NNP A34005 932 157 of of IN A34005 932 158 that that DT A34005 932 159 Arch Arch NNP A34005 932 160 to to IN A34005 932 161 a a DT A34005 932 162 Quadrant Quadrant NNP A34005 932 163 doubled double VBN A34005 932 164 , , , A34005 932 165 is be VBZ A34005 932 166 the the DT A34005 932 167 angle angle NN A34005 932 168 sought seek VBN A34005 932 169 . . . A34005 933 1 The the DT A34005 933 2 former former JJ A34005 933 3 of of IN A34005 933 4 these these DT A34005 933 5 two two CD A34005 933 6 expressions expression NNS A34005 933 7 of of IN A34005 933 8 the the DT A34005 933 9 third third JJ A34005 933 10 Tearm Tearm NNP A34005 933 11 of of IN A34005 933 12 the the DT A34005 933 13 Proportion Proportion NNP A34005 933 14 , , , A34005 933 15 as as IN A34005 933 16 being be VBG A34005 933 17 the the DT A34005 933 18 more more JJR A34005 933 19 facil facil NN A34005 933 20 for for IN A34005 933 21 memory memory NN A34005 933 22 is be VBZ A34005 933 23 now now RB A34005 933 24 retained retain VBN A34005 933 25 ; ; : A34005 933 26 but but CC A34005 933 27 the the DT A34005 933 28 latter latter JJ A34005 933 29 , , , A34005 933 30 ( ( -LRB- A34005 933 31 formerly formerly RB A34005 933 32 used use VBN A34005 933 33 , , , A34005 933 34 and and CC A34005 933 35 now now RB A34005 933 36 rejected reject VBN A34005 933 37 ) ) -RRB- A34005 933 38 agrees agree VBZ A34005 933 39 best good JJS A34005 933 40 with with IN A34005 933 41 the the DT A34005 933 42 Proportion Proportion NNP A34005 933 43 , , , A34005 933 44 as as IN A34005 933 45 applyed apply VBN A34005 933 46 to to IN A34005 933 47 Versed Versed NNP A34005 933 48 Sines Sines NNP A34005 933 49 , , , A34005 933 50 for for IN A34005 933 51 the the DT A34005 933 52 inferring infer VBG A34005 933 53 whereof whereof NNP A34005 933 54 note note NN A34005 933 55 , , , A34005 933 56 that that IN A34005 933 57 such such JJ A34005 933 58 Proportion proportion NN A34005 933 59 , , , A34005 933 60 As as IN A34005 933 61 the the DT A34005 933 62 difference difference NN A34005 933 63 of of IN A34005 933 64 two two CD A34005 933 65 Versed Versed NNP A34005 933 66 Sines Sines NNPS A34005 933 67 beareth beareth NN A34005 933 68 to to IN A34005 933 69 another another DT A34005 933 70 Versed Versed NNP A34005 933 71 Sine Sine NNP A34005 933 72 , , , A34005 933 73 the the DT A34005 933 74 same same JJ A34005 933 75 Proportion proportion NN A34005 933 76 doth doth VB A34005 933 77 the the DT A34005 933 78 half half JJ A34005 933 79 difference difference NN A34005 933 80 of of IN A34005 933 81 those those DT A34005 933 82 Versed Versed NNP A34005 933 83 Sines Sines NNPS A34005 933 84 , , , A34005 933 85 bear bear VBP A34005 933 86 to to IN A34005 933 87 half half PDT A34005 933 88 the the DT A34005 933 89 Versed Versed NNP A34005 933 90 Sine Sine NNP A34005 933 91 of of IN A34005 933 92 that that DT A34005 933 93 other other JJ A34005 933 94 Arch Arch NNP A34005 933 95 : : : A34005 933 96 But but CC A34005 933 97 that that DT A34005 933 98 is be VBZ A34005 933 99 the the DT A34005 933 100 same same JJ A34005 933 101 that that IN A34005 933 102 the the DT A34005 933 103 Rectangle Rectangle NNP A34005 933 104 of of IN A34005 933 105 the the DT A34005 933 106 Sines Sines NNPS A34005 933 107 of of IN A34005 933 108 the the DT A34005 933 109 half half JJ A34005 933 110 sum sum NN A34005 933 111 and and CC A34005 933 112 half half NN A34005 933 113 difference difference NN A34005 933 114 of of IN A34005 933 115 any any DT A34005 933 116 two two CD A34005 933 117 Arks Arks NNP A34005 933 118 doth doth NN A34005 933 119 bear bear NN A34005 933 120 to to IN A34005 933 121 the the DT A34005 933 122 Square Square NNP A34005 933 123 of of IN A34005 933 124 the the DT A34005 933 125 Sine Sine NNP A34005 933 126 of of IN A34005 933 127 half half PDT A34005 933 128 that that DT A34005 933 129 other other JJ A34005 933 130 Arch Arch NNP A34005 933 131 , , , A34005 933 132 which which WDT A34005 933 133 will will MD A34005 933 134 be be VB A34005 933 135 thus thus RB A34005 933 136 inferred infer VBN A34005 933 137 , , , A34005 933 138 because because IN A34005 933 139 if if IN A34005 933 140 the the DT A34005 933 141 said say VBD A34005 933 142 Rectangle Rectangle NNP A34005 933 143 and and CC A34005 933 144 Square Square NNP A34005 933 145 be be VB A34005 933 146 both both DT A34005 933 147 divided divide VBN A34005 933 148 by by IN A34005 933 149 Radius Radius NNP A34005 933 150 , , , A34005 933 151 the the DT A34005 933 152 two two CD A34005 933 153 Quotients Quotients NNPS A34005 933 154 will will MD A34005 933 155 be be VB A34005 933 156 the the DT A34005 933 157 half half JJ A34005 933 158 difference difference NN A34005 933 159 of of IN A34005 933 160 the the DT A34005 933 161 versed versed JJ A34005 933 162 Sines Sines NNPS A34005 933 163 of of IN A34005 933 164 the the DT A34005 933 165 two two CD A34005 933 166 Arks Arks NNP A34005 933 167 proposed propose VBD A34005 933 168 , , , A34005 933 169 and and CC A34005 933 170 half half PDT A34005 933 171 the the DT A34005 933 172 versed versed JJ A34005 933 173 Sine Sine NNP A34005 933 174 of of IN A34005 933 175 the the DT A34005 933 176 4 4 CD A34005 933 177 ● ● SYM A34005 933 178 h h NN A34005 933 179 Arch arch JJ A34005 933 180 . . . A34005 934 1 That that IN A34005 934 2 the the DT A34005 934 3 Sines Sines NNPS A34005 934 4 of of IN A34005 934 5 the the DT A34005 934 6 half half JJ A34005 934 7 sum sum NN A34005 934 8 and and CC A34005 934 9 half half NN A34005 934 10 difference difference NN A34005 934 11 of of IN A34005 934 12 any any DT A34005 934 13 two two CD A34005 934 14 Arks Arks NNPS A34005 934 15 are be VBP A34005 934 16 mean mean JJ A34005 934 17 Proportionals proportional NNS A34005 934 18 between between IN A34005 934 19 the the DT A34005 934 20 Radius Radius NNP A34005 934 21 and and CC A34005 934 22 the the DT A34005 934 23 half half JJ A34005 934 24 difference difference NN A34005 934 25 of of IN A34005 934 26 the the DT A34005 934 27 Versed versed JJ A34005 934 28 Sines Sines NNPS A34005 934 29 of of IN A34005 934 30 those those DT A34005 934 31 Arks Arks NNP A34005 934 32 is be VBZ A34005 934 33 demonstrated demonstrate VBN A34005 934 34 in in IN A34005 934 35 Mr Mr NNP A34005 934 36 Gellibrands Gellibrands NNP A34005 934 37 Trigonometry Trigonometry NNP A34005 934 38 in in IN A34005 934 39 Octavo Octavo NNP A34005 934 40 , , , A34005 934 41 that that RB A34005 934 42 is is RB A34005 934 43 , , , A34005 934 44 As as IN A34005 934 45 the the DT A34005 934 46 Radius Radius NNP A34005 934 47 , , , A34005 934 48 To to IN A34005 934 49 the the DT A34005 934 50 Sine Sine NNP A34005 934 51 of of IN A34005 934 52 half half PDT A34005 934 53 the the DT A34005 934 54 sum sum NN A34005 934 55 of of IN A34005 934 56 any any DT A34005 934 57 two two CD A34005 934 58 arks ark NNS A34005 934 59 : : : A34005 934 60 So so RB A34005 934 61 is be VBZ A34005 934 62 the the DT A34005 934 63 sine sine NN A34005 934 64 of of IN A34005 934 65 half half PDT A34005 934 66 the the DT A34005 934 67 difference difference NN A34005 934 68 of of IN A34005 934 69 those those DT A34005 934 70 two two CD A34005 934 71 arks ark NNS A34005 934 72 , , , A34005 934 73 To to IN A34005 934 74 half half PDT A34005 934 75 the the DT A34005 934 76 difference difference NN A34005 934 77 of of IN A34005 934 78 the the DT A34005 934 79 versed versed JJ A34005 934 80 sines sine NNS A34005 934 81 of of IN A34005 934 82 those those DT A34005 934 83 two two CD A34005 934 84 arks ark NNS A34005 934 85 , , , A34005 934 86 and and CC A34005 934 87 therefore therefore RB A34005 934 88 the the DT A34005 934 89 said say VBN A34005 934 90 Rectangle Rectangle NNP A34005 934 91 divided divide VBN A34005 934 92 by by IN A34005 934 93 Radius Radius NNP A34005 934 94 , , , A34005 934 95 the the DT A34005 934 96 Quotient Quotient NNP A34005 934 97 is be VBZ A34005 934 98 half half PDT A34005 934 99 the the DT A34005 934 100 difference difference NN A34005 934 101 of of IN A34005 934 102 the the DT A34005 934 103 versed versed JJ A34005 934 104 sines sine NNS A34005 934 105 of of IN A34005 934 106 the the DT A34005 934 107 two two CD A34005 934 108 Arks Arks NNP A34005 934 109 . . . A34005 935 1 And and CC A34005 935 2 that that IN A34005 935 3 the the DT A34005 935 4 Sine Sine NNP A34005 935 5 of of IN A34005 935 6 any any DT A34005 935 7 Arch Arch NNP A34005 935 8 is be VBZ A34005 935 9 a a DT A34005 935 10 mean mean NN A34005 935 11 Proportional Proportional NNP A34005 935 12 between between IN A34005 935 13 the the DT A34005 935 14 Radius Radius NNP A34005 935 15 and and CC A34005 935 16 half half PDT A34005 935 17 the the DT A34005 935 18 versed verse VBN A34005 935 19 Sine Sine NNP A34005 935 20 of of IN A34005 935 21 twice twice PDT A34005 935 22 that that DT A34005 935 23 Arch Arch NNP A34005 935 24 , , , A34005 935 25 That that RB A34005 935 26 is is RB A34005 935 27 , , , A34005 935 28 As as IN A34005 935 29 the the DT A34005 935 30 Radius Radius NNP A34005 935 31 , , , A34005 935 32 Is be VBZ A34005 935 33 to to IN A34005 935 34 the the DT A34005 935 35 sine sine NN A34005 935 36 of of IN A34005 935 37 an an DT A34005 935 38 Arch Arch NNP A34005 935 39 : : : A34005 935 40 So so RB A34005 935 41 the the DT A34005 935 42 sine sine NN A34005 935 43 of of IN A34005 935 44 that that DT A34005 935 45 Arch Arch NNP A34005 935 46 , , , A34005 935 47 To to TO A34005 935 48 half half PDT A34005 935 49 the the DT A34005 935 50 versed versed JJ A34005 935 51 sine sine NN A34005 935 52 of of IN A34005 935 53 twice twice PDT A34005 935 54 that that DT A34005 935 55 Arch Arch NNP A34005 935 56 , , , A34005 935 57 and and CC A34005 935 58 therefore therefore RB A34005 935 59 the the DT A34005 935 60 Square Square NNP A34005 935 61 of of IN A34005 935 62 the the DT A34005 935 63 sine sine NN A34005 935 64 of of IN A34005 935 65 any any DT A34005 935 66 Arch Arch NNP A34005 935 67 divided divide VBN A34005 935 68 by by IN A34005 935 69 Radius Radius NNP A34005 935 70 , , , A34005 935 71 the the DT A34005 935 72 Quotient Quotient NNP A34005 935 73 is be VBZ A34005 935 74 the the DT A34005 935 75 half half JJ A34005 935 76 versed versed JJ A34005 935 77 sine sine NN A34005 935 78 of of IN A34005 935 79 twice twice PDT A34005 935 80 that that DT A34005 935 81 Arch Arch NNP A34005 935 82 ; ; : A34005 935 83 whence whence NN A34005 935 84 the the DT A34005 935 85 Rule Rule NNP A34005 935 86 to to TO A34005 935 87 make make VB A34005 935 88 a a DT A34005 935 89 Cannon cannon NN A34005 935 90 of of IN A34005 935 91 whole whole JJ A34005 935 92 Logarithmical logarithmical JJ A34005 935 93 versed verse VBN A34005 935 94 sines sine NNS A34005 935 95 is be VBZ A34005 935 96 to to TO A34005 935 97 take take VB A34005 935 98 half half PDT A34005 935 99 the the DT A34005 935 100 arch arch NN A34005 935 101 proposed propose VBN A34005 935 102 , , , A34005 935 103 and and CC A34005 935 104 to to IN A34005 935 105 the the DT A34005 935 106 Logarithm Logarithm NNP A34005 935 107 thereof thereof RB A34005 935 108 doubled double VBD A34005 935 109 , , , A34005 935 110 or or CC A34005 935 111 twice twice RB A34005 935 112 wrot wrot VB A34005 935 113 down down RP A34005 935 114 , , , A34005 935 115 to to TO A34005 935 116 add add VB A34005 935 117 the the DT A34005 935 118 Logarithm Logarithm NNP A34005 935 119 of of IN A34005 935 120 the the DT A34005 935 121 number number NN A34005 935 122 two two CD A34005 935 123 , , , A34005 935 124 and and CC A34005 935 125 from from IN A34005 935 126 the the DT A34005 935 127 sum sum NN A34005 935 128 to to TO A34005 935 129 substract substract VB A34005 935 130 the the DT A34005 935 131 Radius radius NN A34005 935 132 . . . A34005 936 1 We -PRON- PRP A34005 936 2 have have VBP A34005 936 3 before before RB A34005 936 4 inferred infer VBN A34005 936 5 , , , A34005 936 6 that that IN A34005 936 7 As as IN A34005 936 8 the the DT A34005 936 9 Rectangle Rectangle NNP A34005 936 10 of of IN A34005 936 11 the the DT A34005 936 12 sines sine NNS A34005 936 13 of of IN A34005 936 14 the the DT A34005 936 15 containing contain VBG A34005 936 16 sides side NNS A34005 936 17 , , , A34005 936 18 Is be VBZ A34005 936 19 to to IN A34005 936 20 the the DT A34005 936 21 Square Square NNP A34005 936 22 of of IN A34005 936 23 the the DT A34005 936 24 Radius radius NN A34005 936 25 : : : A34005 936 26 So so RB A34005 936 27 is be VBZ A34005 936 28 the the DT A34005 936 29 sine sine NN A34005 936 30 of of IN A34005 936 31 one one CD A34005 936 32 of of IN A34005 936 33 those those DT A34005 936 34 sides side NNS A34005 936 35 , , , A34005 936 36 To to IN A34005 936 37 the the DT A34005 936 38 Secant Secant NNP A34005 936 39 of of IN A34005 936 40 the the DT A34005 936 41 Complement Complement NNP A34005 936 42 of of IN A34005 936 43 the the DT A34005 936 44 other other JJ A34005 936 45 , , , A34005 936 46 and and CC A34005 936 47 that that IN A34005 936 48 by by IN A34005 936 49 dividing divide VBG A34005 936 50 those those DT A34005 936 51 two two CD A34005 936 52 Plains Plains NNPS A34005 936 53 by by IN A34005 936 54 one one CD A34005 936 55 of of IN A34005 936 56 those those DT A34005 936 57 sides side NNS A34005 936 58 ; ; : A34005 936 59 but but CC A34005 936 60 if if IN A34005 936 61 we -PRON- PRP A34005 936 62 divide divide VBP A34005 936 63 the the DT A34005 936 64 said say VBN A34005 936 65 two two CD A34005 936 66 Plains Plains NNPS A34005 936 67 , , , A34005 936 68 viz viz NN A34005 936 69 . . . A34005 937 1 the the DT A34005 937 2 Rectangle Rectangle NNP A34005 937 3 of of IN A34005 937 4 the the DT A34005 937 5 sines sine NNS A34005 937 6 of of IN A34005 937 7 the the DT A34005 937 8 containing contain VBG A34005 937 9 sides side NNS A34005 937 10 , , , A34005 937 11 and and CC A34005 937 12 the the DT A34005 937 13 Square Square NNP A34005 937 14 of of IN A34005 937 15 the the DT A34005 937 16 Radius Radius NNP A34005 937 17 , , , A34005 937 18 by by IN A34005 937 19 the the DT A34005 937 20 Radius Radius NNP A34005 937 21 as as IN A34005 937 22 a a DT A34005 937 23 common common JJ A34005 937 24 Divisor Divisor NNP A34005 937 25 , , , A34005 937 26 the the DT A34005 937 27 latter latter JJ A34005 937 28 Quotient quotient NN A34005 937 29 will will MD A34005 937 30 be be VB A34005 937 31 the the DT A34005 937 32 Radius Radius NNP A34005 937 33 , , , A34005 937 34 and and CC A34005 937 35 the the DT A34005 937 36 former former JJ A34005 937 37 the the DT A34005 937 38 half half JJ A34005 937 39 difference difference NN A34005 937 40 of of IN A34005 937 41 the the DT A34005 937 42 versed versed JJ A34005 937 43 sines sine NNS A34005 937 44 of of IN A34005 937 45 those those DT A34005 937 46 Arks Arks NNPS A34005 937 47 whereof whereof IN A34005 937 48 the the DT A34005 937 49 two two CD A34005 937 50 containing contain VBG A34005 937 51 sides side NNS A34005 937 52 are be VBP A34005 937 53 the the DT A34005 937 54 half half JJ A34005 937 55 sum sum NN A34005 937 56 and and CC A34005 937 57 the the DT A34005 937 58 half half JJ A34005 937 59 difference difference NN A34005 937 60 ; ; : A34005 937 61 but but CC A34005 937 62 those those DT A34005 937 63 Arks ark NNS A34005 937 64 are be VBP A34005 937 65 found find VBN A34005 937 66 by by IN A34005 937 67 adding add VBG A34005 937 68 the the DT A34005 937 69 half half JJ A34005 937 70 difference difference NN A34005 937 71 to to IN A34005 937 72 the the DT A34005 937 73 half half JJ A34005 937 74 sum sum NN A34005 937 75 to to TO A34005 937 76 get get VB A34005 937 77 the the DT A34005 937 78 greater great JJR A34005 937 79 , , , A34005 937 80 and and CC A34005 937 81 substracting substracte VBG A34005 937 82 it -PRON- PRP A34005 937 83 therefrom therefrom JJ A34005 937 84 to to TO A34005 937 85 get get VB A34005 937 86 the the DT A34005 937 87 lesser less JJR A34005 937 88 ; ; : A34005 937 89 Which which WDT A34005 937 90 is be VBZ A34005 937 91 no no DT A34005 937 92 other other JJ A34005 937 93 then then RB A34005 937 94 to to TO A34005 937 95 get get VB A34005 937 96 the the DT A34005 937 97 sum sum NN A34005 937 98 and and CC A34005 937 99 difference difference NN A34005 937 100 of of IN A34005 937 101 the the DT A34005 937 102 two two CD A34005 937 103 containing contain VBG A34005 937 104 sides side NNS A34005 937 105 , , , A34005 937 106 it -PRON- PRP A34005 937 107 therefore therefore RB A34005 937 108 holds hold VBZ A34005 937 109 , , , A34005 937 110 As as IN A34005 937 111 the the DT A34005 937 112 Rectangle Rectangle NNP A34005 937 113 of of IN A34005 937 114 the the DT A34005 937 115 sines sine NNS A34005 937 116 of of IN A34005 937 117 the the DT A34005 937 118 containing contain VBG A34005 937 119 sides side NNS A34005 937 120 , , , A34005 937 121 Is be VBZ A34005 937 122 to to IN A34005 937 123 the the DT A34005 937 124 Square Square NNP A34005 937 125 of of IN A34005 937 126 the the DT A34005 937 127 Radius Radius NNP A34005 937 128 , , , A34005 937 129 Or or CC A34005 937 130 , , , A34005 937 131 As as IN A34005 937 132 the the DT A34005 937 133 sine sine NN A34005 937 134 of of IN A34005 937 135 one one CD A34005 937 136 of of IN A34005 937 137 those those DT A34005 937 138 sides side NNS A34005 937 139 , , , A34005 937 140 To to IN A34005 937 141 the the DT A34005 937 142 Secant Secant NNP A34005 937 143 of of IN A34005 937 144 the the DT A34005 937 145 Complement Complement NNP A34005 937 146 of of IN A34005 937 147 the the DT A34005 937 148 other other JJ A34005 937 149 : : : A34005 937 150 So so RB A34005 937 151 is be VBZ A34005 937 152 the the DT A34005 937 153 half half JJ A34005 937 154 difference difference NN A34005 937 155 of of IN A34005 937 156 the the DT A34005 937 157 versed versed JJ A34005 937 158 sines sine NNS A34005 937 159 of of IN A34005 937 160 the the DT A34005 937 161 sum sum NN A34005 937 162 and and CC A34005 937 163 difference difference NN A34005 937 164 of of IN A34005 937 165 those those DT A34005 937 166 two two CD A34005 937 167 sides side NNS A34005 937 168 to to IN A34005 937 169 the the DT A34005 937 170 Radius Radius NNP A34005 937 171 , , , A34005 937 172 And and CC A34005 937 173 by by IN A34005 937 174 consequence consequence NNP A34005 937 175 so so RB A34005 937 176 is be VBZ A34005 937 177 the the DT A34005 937 178 whole whole JJ A34005 937 179 difference difference NN A34005 937 180 to to IN A34005 937 181 the the DT A34005 937 182 Diameter Diameter NNP A34005 937 183 , , , A34005 937 184 and and CC A34005 937 185 this this DT A34005 937 186 being be VBG A34005 937 187 admitted admit VBN A34005 937 188 the the DT A34005 937 189 whole whole JJ A34005 937 190 Proportion proportion NN A34005 937 191 in in IN A34005 937 192 all all PDT A34005 937 193 its -PRON- PRP$ A34005 937 194 parts part NNS A34005 937 195 may may MD A34005 937 196 be be VB A34005 937 197 inferred infer VBN A34005 937 198 from from IN A34005 937 199 Mr Mr NNP A34005 937 200 Daries Daries NNPS A34005 937 201 Book Book NNP A34005 937 202 of of IN A34005 937 203 the the DT A34005 937 204 Uses use NNS A34005 937 205 of of IN A34005 937 206 a a DT A34005 937 207 Quadrant Quadrant NNP A34005 937 208 , , , A34005 937 209 where where WRB A34005 937 210 he -PRON- PRP A34005 937 211 demonstrates demonstrate VBZ A34005 937 212 , , , A34005 937 213 That that IN A34005 937 214 , , , A34005 937 215 As as IN A34005 937 216 the the DT A34005 937 217 difference difference NN A34005 937 218 of of IN A34005 937 219 the the DT A34005 937 220 versed versed JJ A34005 937 221 Sines Sines NNPS A34005 937 222 of of IN A34005 937 223 the the DT A34005 937 224 sum sum NN A34005 937 225 and and CC A34005 937 226 difference difference NN A34005 937 227 of of IN A34005 937 228 any any DT A34005 937 229 two two CD A34005 937 230 sides side NNS A34005 937 231 including include VBG A34005 937 232 an an DT A34005 937 233 angle angle NN A34005 937 234 , , , A34005 937 235 Is be VBZ A34005 937 236 to to IN A34005 937 237 the the DT A34005 937 238 Diameter diameter NN A34005 937 239 : : : A34005 937 240 So so RB A34005 937 241 is be VBZ A34005 937 242 the the DT A34005 937 243 difference difference NN A34005 937 244 of of IN A34005 937 245 the the DT A34005 937 246 versed versed JJ A34005 937 247 sines sine NNS A34005 937 248 of of IN A34005 937 249 the the DT A34005 937 250 third third JJ A34005 937 251 side side NN A34005 937 252 , , , A34005 937 253 and and CC A34005 937 254 of of IN A34005 937 255 the the DT A34005 937 256 Ark Ark NNP A34005 937 257 of of IN A34005 937 258 difference difference NN A34005 937 259 between between IN A34005 937 260 the the DT A34005 937 261 two two CD A34005 937 262 including include VBG A34005 937 263 sides side NNS A34005 937 264 , , , A34005 937 265 To to IN A34005 937 266 the the DT A34005 937 267 versed versed JJ A34005 937 268 sine sine NN A34005 937 269 of of IN A34005 937 270 the the DT A34005 937 271 angle angle NN A34005 937 272 sought seek VBN A34005 937 273 , , , A34005 937 274 in in IN A34005 937 275 that that DT A34005 937 276 Scheme Scheme NNP A34005 937 277 it -PRON- PRP A34005 937 278 lyes lye VBZ A34005 937 279 , , , A34005 937 280 As as IN A34005 937 281 M M NNP A34005 937 282 S S NNP A34005 937 283 , , , A34005 937 284 To to IN A34005 937 285 G g NN A34005 937 286 H h NN A34005 937 287 : : : A34005 937 288 So so RB A34005 937 289 is be VBZ A34005 937 290 M M NNP A34005 937 291 P P NNP A34005 937 292 , , , A34005 937 293 To to IN A34005 937 294 H H NNP A34005 937 295 C. C. NNP A34005 937 296 And and CC A34005 937 297 I -PRON- PRP A34005 937 298 further further RB A34005 937 299 add add VBP A34005 937 300 , , , A34005 937 301 As as IN A34005 937 302 M M NNP A34005 937 303 S S NNP A34005 937 304 , , , A34005 937 305 To to IN A34005 937 306 G g NN A34005 937 307 H h NN A34005 937 308 : : : A34005 937 309 as as IN A34005 937 310 before before RB A34005 937 311 , , , A34005 937 312 So so RB A34005 937 313 is be VBZ A34005 937 314 P p NN A34005 937 315 S S NNP A34005 937 316 , , , A34005 937 317 To to IN A34005 937 318 G G NNP A34005 937 319 C. C. NNP A34005 937 320 that that WDT A34005 937 321 is be VBZ A34005 937 322 , , , A34005 937 323 retaining retain VBG A34005 937 324 the the DT A34005 937 325 two two CD A34005 937 326 first first JJ A34005 937 327 Tearms tearm NNS A34005 937 328 of of IN A34005 937 329 the the DT A34005 937 330 Proportion Proportion NNP A34005 937 331 , , , A34005 937 332 the the DT A34005 937 333 same same JJ A34005 937 334 it -PRON- PRP A34005 937 335 holds hold VBZ A34005 937 336 for for IN A34005 937 337 the the DT A34005 937 338 third third JJ A34005 937 339 and and CC A34005 937 340 fourth fourth JJ A34005 937 341 Tearm Tearm NNP A34005 937 342 . . . A34005 938 1 So so RB A34005 938 2 is be VBZ A34005 938 3 the the DT A34005 938 4 difference difference NN A34005 938 5 of of IN A34005 938 6 the the DT A34005 938 7 versed versed JJ A34005 938 8 sines sine NNS A34005 938 9 of of IN A34005 938 10 the the DT A34005 938 11 third third JJ A34005 938 12 side side NN A34005 938 13 , , , A34005 938 14 and and CC A34005 938 15 of of IN A34005 938 16 the the DT A34005 938 17 sum sum NN A34005 938 18 of of IN A34005 938 19 the the DT A34005 938 20 two two CD A34005 938 21 including include VBG A34005 938 22 sides side NNS A34005 938 23 , , , A34005 938 24 To to IN A34005 938 25 the the DT A34005 938 26 versed versed JJ A34005 938 27 sine sine NN A34005 938 28 of of IN A34005 938 29 the the DT A34005 938 30 sought seek VBN A34005 938 31 angles angle NNS A34005 938 32 Complement Complement NNP A34005 938 33 to to IN A34005 938 34 180d 180d NNPS A34005 938 35 . . . A34005 939 1 Now now RB A34005 939 2 from from IN A34005 939 3 these these DT A34005 939 4 Proportions proportion NNS A34005 939 5 thus thus RB A34005 939 6 Demonstrated demonstrate VBD A34005 939 7 , , , A34005 939 8 are be VBP A34005 939 9 inferred infer VBN A34005 939 10 those those DT A34005 939 11 others other NNS A34005 939 12 that that WDT A34005 939 13 give give VBP A34005 939 14 the the DT A34005 939 15 answer answer NN A34005 939 16 in in IN A34005 939 17 the the DT A34005 939 18 Squares Squares NNP A34005 939 19 of of IN A34005 939 20 Tangents Tangents NNPS A34005 939 21 , , , A34005 939 22 in in IN A34005 939 23 order order NN A34005 939 24 whereto whereto NN A34005 939 25 observe observe VBP A34005 939 26 , , , A34005 939 27 That that IN A34005 939 28 if if IN A34005 939 29 4 4 CD A34005 939 30 Numbers number NNS A34005 939 31 are be VBP A34005 939 32 Proportional proportional JJ A34005 939 33 , , , A34005 939 34 their -PRON- PRP$ A34005 939 35 Squares square NNS A34005 939 36 are be VBP A34005 939 37 also also RB A34005 939 38 Proportional Proportional NNP A34005 939 39 ( ( -LRB- A34005 939 40 quamvis quamvis FW A34005 939 41 non non AFX A34005 939 42 in in IN A34005 939 43 eadem eadem JJ A34005 939 44 rations ration NNS A34005 939 45 ) ) -RRB- A34005 939 46 so so IN A34005 939 47 that that IN A34005 939 48 any any DT A34005 939 49 three three CD A34005 939 50 of of IN A34005 939 51 those those DT A34005 939 52 Squares square NNS A34005 939 53 being be VBG A34005 939 54 given give VBN A34005 939 55 , , , A34005 939 56 the the DT A34005 939 57 Square Square NNP A34005 939 58 of of IN A34005 939 59 the the DT A34005 939 60 4th 4th NN A34005 939 61 will will MD A34005 939 62 be be VB A34005 939 63 found find VBN A34005 939 64 by by IN A34005 939 65 direct direct JJ A34005 939 66 Proportion proportion NN A34005 939 67 , , , A34005 939 68 and and CC A34005 939 69 the the DT A34005 939 70 Proportion Proportion NNP A34005 939 71 for for IN A34005 939 72 making make VBG A34005 939 73 a a DT A34005 939 74 Table table NN A34005 939 75 of of IN A34005 939 76 Natural Natural NNP A34005 939 77 Tangents Tangents NNP A34005 939 78 from from IN A34005 939 79 the the DT A34005 939 80 Tables Tables NNPS A34005 939 81 of of IN A34005 939 82 natural natural JJ A34005 939 83 sines sine NNS A34005 939 84 is be VBZ A34005 939 85 , , , A34005 939 86 As as IN A34005 939 87 the the DT A34005 939 88 Cosine Cosine NNP A34005 939 89 of of IN A34005 939 90 an an DT A34005 939 91 Ark Ark NNP A34005 939 92 , , , A34005 939 93 To to IN A34005 939 94 the the DT A34005 939 95 sine sine NN A34005 939 96 of of IN A34005 939 97 the the DT A34005 939 98 said say VBN A34005 939 99 Ark Ark NNP A34005 939 100 : : : A34005 939 101 So so RB A34005 939 102 is be VBZ A34005 939 103 the the DT A34005 939 104 Radius Radius NNP A34005 939 105 , , , A34005 939 106 To to IN A34005 939 107 the the DT A34005 939 108 Tangent Tangent NNP A34005 939 109 of of IN A34005 939 110 the the DT A34005 939 111 said say VBN A34005 939 112 Ark. Arkansas NNP A34005 940 1 It -PRON- PRP A34005 940 2 will will MD A34005 940 3 therefore therefore RB A34005 940 4 hold hold VB A34005 940 5 by by IN A34005 940 6 22 22 CD A34005 940 7 Prop Prop NNP A34005 940 8 . . . A34005 941 1 of of IN A34005 941 2 6 6 CD A34005 941 3 h h NN A34005 941 4 Book Book NNP A34005 941 5 of of IN A34005 941 6 Euclid Euclid NNP A34005 941 7 , , , A34005 941 8 As as IN A34005 941 9 the the DT A34005 941 10 Square Square NNP A34005 941 11 of of IN A34005 941 12 the the DT A34005 941 13 Cosine Cosine NNP A34005 941 14 of of IN A34005 941 15 an an DT A34005 941 16 Ark Ark NNP A34005 941 17 , , , A34005 941 18 Is be VBZ A34005 941 19 to to IN A34005 941 20 the the DT A34005 941 21 Square Square NNP A34005 941 22 of of IN A34005 941 23 its -PRON- PRP$ A34005 941 24 sine sine NN A34005 941 25 : : : A34005 941 26 So so RB A34005 941 27 is be VBZ A34005 941 28 the the DT A34005 941 29 Square Square NNP A34005 941 30 of of IN A34005 941 31 the the DT A34005 941 32 Radius Radius NNP A34005 941 33 , , , A34005 941 34 To to IN A34005 941 35 the the DT A34005 941 36 Square Square NNP A34005 941 37 of of IN A34005 941 38 its -PRON- PRP$ A34005 941 39 Tangent Tangent NNP A34005 941 40 , , , A34005 941 41 Now now RB A34005 941 42 from from IN A34005 941 43 the the DT A34005 941 44 two two CD A34005 941 45 Demonstrated Demonstrated NNP A34005 941 46 Proportions Proportions NNP A34005 941 47 for for IN A34005 941 48 the the DT A34005 941 49 Tables Tables NNPS A34005 941 50 , , , A34005 941 51 the the DT A34005 941 52 two two CD A34005 941 53 first first JJ A34005 941 54 Tearms tearm NNS A34005 941 55 are be VBP A34005 941 56 common common JJ A34005 941 57 to to IN A34005 941 58 both both DT A34005 941 59 , , , A34005 941 60 and and CC A34005 941 61 therefore therefore RB A34005 941 62 there there EX A34005 941 63 is be VBZ A34005 941 64 the the DT A34005 941 65 like like JJ A34005 941 66 Proportion proportion NN A34005 941 67 between between IN A34005 941 68 the the DT A34005 941 69 two two CD A34005 941 70 latter latter JJ A34005 941 71 Tearms tearm NNS A34005 941 72 of of IN A34005 941 73 the the DT A34005 941 74 first first JJ A34005 941 75 Proportion Proportion NNP A34005 941 76 , , , A34005 941 77 and and CC A34005 941 78 the the DT A34005 941 79 two two CD A34005 941 80 latter latter JJ A34005 941 81 in in IN A34005 941 82 the the DT A34005 941 83 second second JJ A34005 941 84 , , , A34005 941 85 as as IN A34005 941 86 between between IN A34005 941 87 the the DT A34005 941 88 two two CD A34005 941 89 latter latter JJ A34005 941 90 , , , A34005 941 91 and and CC A34005 941 92 the the DT A34005 941 93 two two CD A34005 941 94 former former JJ A34005 941 95 in in IN A34005 941 96 each each DT A34005 941 97 Proportion proportion NN A34005 941 98 : : : A34005 941 99 Now now RB A34005 941 100 because because IN A34005 941 101 the the DT A34005 941 102 latter latter JJ A34005 941 103 Proportion proportion NN A34005 941 104 finds find VBZ A34005 941 105 the the DT A34005 941 106 Square Square NNP A34005 941 107 of of IN A34005 941 108 the the DT A34005 941 109 Cosine Cosine NNP A34005 941 110 , , , A34005 941 111 and and CC A34005 941 112 the the DT A34005 941 113 former former JJ A34005 941 114 the the DT A34005 941 115 Square Square NNP A34005 941 116 of of IN A34005 941 117 the the DT A34005 941 118 Sine Sine NNP A34005 941 119 of of IN A34005 941 120 the the DT A34005 941 121 same same JJ A34005 941 122 Ark Ark NNP A34005 941 123 , , , A34005 941 124 it -PRON- PRP A34005 941 125 is be VBZ A34005 941 126 inferred infer VBN A34005 941 127 that that IN A34005 941 128 the the DT A34005 941 129 third third JJ A34005 941 130 tearm tearm NN A34005 941 131 in in IN A34005 941 132 the the DT A34005 941 133 latter latter JJ A34005 941 134 Proportion proportion NN A34005 941 135 , , , A34005 941 136 bears bear VBZ A34005 941 137 such such JJ A34005 941 138 Proportion proportion NN A34005 941 139 to to IN A34005 941 140 the the DT A34005 941 141 third third JJ A34005 941 142 Tearm Tearm NNP A34005 941 143 in in IN A34005 941 144 the the DT A34005 941 145 former former JJ A34005 941 146 Proportion proportion NN A34005 941 147 , , , A34005 941 148 as as IN A34005 941 149 the the DT A34005 941 150 Square Square NNP A34005 941 151 of of IN A34005 941 152 the the DT A34005 941 153 Cosine Cosine NNP A34005 941 154 of of IN A34005 941 155 an an DT A34005 941 156 Ark Ark NNP A34005 941 157 , , , A34005 941 158 doth doth JJ A34005 941 159 to to IN A34005 941 160 the the DT A34005 941 161 Square Square NNP A34005 941 162 of of IN A34005 941 163 its -PRON- PRP$ A34005 941 164 Sine Sine NNP A34005 941 165 , , , A34005 941 166 which which WDT A34005 941 167 is be VBZ A34005 941 168 the the DT A34005 941 169 same same JJ A34005 941 170 that that IN A34005 941 171 the the DT A34005 941 172 Square Square NNP A34005 941 173 of of IN A34005 941 174 the the DT A34005 941 175 Radius Radius NNP A34005 941 176 bears bear VBZ A34005 941 177 to to IN A34005 941 178 the the DT A34005 941 179 Square Square NNP A34005 941 180 of of IN A34005 941 181 the the DT A34005 941 182 Tangent Tangent NNP A34005 941 183 of of IN A34005 941 184 the the DT A34005 941 185 said say VBD A34005 941 186 Ark Ark NNP A34005 941 187 , , , A34005 941 188 it -PRON- PRP A34005 941 189 therefore therefore RB A34005 941 190 holds hold VBZ A34005 941 191 when when WRB A34005 941 192 three three CD A34005 941 193 sides side NNS A34005 941 194 of of IN A34005 941 195 a a DT A34005 941 196 Spherical Spherical NNP A34005 941 197 Triangle Triangle NNP A34005 941 198 , , , A34005 941 199 are be VBP A34005 941 200 given give VBN A34005 941 201 to to TO A34005 941 202 find find VB A34005 941 203 an an DT A34005 941 204 angle angle NN A34005 941 205 . . . A34005 942 1 As as IN A34005 942 2 the the DT A34005 942 3 Rectangle Rectangle NNP A34005 942 4 of of IN A34005 942 5 the the DT A34005 942 6 Sines Sines NNPS A34005 942 7 of of IN A34005 942 8 the the DT A34005 942 9 half half JJ A34005 942 10 sum sum NN A34005 942 11 of of IN A34005 942 12 the the DT A34005 942 13 three three CD A34005 942 14 sides side NNS A34005 942 15 , , , A34005 942 16 and and CC A34005 942 17 of of IN A34005 942 18 the the DT A34005 942 19 difference difference NN A34005 942 20 of of IN A34005 942 21 the the DT A34005 942 22 Base Base NNP A34005 942 23 therefrom therefrom NN A34005 942 24 , , , A34005 942 25 Is be VBZ A34005 942 26 to to IN A34005 942 27 the the DT A34005 942 28 Rectangle Rectangle NNP A34005 942 29 of of IN A34005 942 30 the the DT A34005 942 31 Sines Sines NNPS A34005 942 32 of of IN A34005 942 33 the the DT A34005 942 34 differences difference NNS A34005 942 35 of of IN A34005 942 36 the the DT A34005 942 37 Leggs Leggs NNP A34005 942 38 therefrom therefrom NN A34005 942 39 : : : A34005 942 40 So so RB A34005 942 41 is be VBZ A34005 942 42 the the DT A34005 942 43 Square Square NNP A34005 942 44 of of IN A34005 942 45 the the DT A34005 942 46 Radius Radius NNP A34005 942 47 , , , A34005 942 48 To to IN A34005 942 49 the the DT A34005 942 50 Square Square NNP A34005 942 51 of of IN A34005 942 52 the the DT A34005 942 53 Tangent Tangent NNP A34005 942 54 of of IN A34005 942 55 half half PDT A34005 942 56 the the DT A34005 942 57 angle angle NN A34005 942 58 sought seek VBN A34005 942 59 , , , A34005 942 60 and and CC A34005 942 61 by by IN A34005 942 62 changing change VBG A34005 942 63 the the DT A34005 942 64 2d 2d CD A34005 942 65 Tearm Tearm NNP A34005 942 66 into into IN A34005 942 67 the the DT A34005 942 68 place place NN A34005 942 69 of of IN A34005 942 70 the the DT A34005 942 71 first first JJ A34005 942 72 . . . A34005 943 1 As as IN A34005 943 2 the the DT A34005 943 3 Rectangle Rectangle NNP A34005 943 4 of of IN A34005 943 5 the the DT A34005 943 6 sines sine NNS A34005 943 7 of of IN A34005 943 8 the the DT A34005 943 9 differences difference NNS A34005 943 10 of of IN A34005 943 11 the the DT A34005 943 12 Leggs Leggs NNP A34005 943 13 from from IN A34005 943 14 the the DT A34005 943 15 half half JJ A34005 943 16 sum sum NN A34005 943 17 of of IN A34005 943 18 the the DT A34005 943 19 3 3 CD A34005 943 20 sides side NNS A34005 943 21 , , , A34005 943 22 Is be VBZ A34005 943 23 to to IN A34005 943 24 the the DT A34005 943 25 Rectangle Rectangle NNP A34005 943 26 of of IN A34005 943 27 the the DT A34005 943 28 sines sine NNS A34005 943 29 of of IN A34005 943 30 the the DT A34005 943 31 half half JJ A34005 943 32 sum sum NN A34005 943 33 of of IN A34005 943 34 the the DT A34005 943 35 three three CD A34005 943 36 sides side NNS A34005 943 37 , , , A34005 943 38 and and CC A34005 943 39 of of IN A34005 943 40 the the DT A34005 943 41 difference difference NN A34005 943 42 of of IN A34005 943 43 the the DT A34005 943 44 Base Base NNP A34005 943 45 therefrom therefrom NN A34005 943 46 : : : A34005 943 47 So so RB A34005 943 48 is be VBZ A34005 943 49 the the DT A34005 943 50 Square Square NNP A34005 943 51 of of IN A34005 943 52 the the DT A34005 943 53 Radius Radius NNP A34005 943 54 , , , A34005 943 55 To to IN A34005 943 56 the the DT A34005 943 57 Square Square NNP A34005 943 58 of of IN A34005 943 59 the the DT A34005 943 60 Cotangent Cotangent NNP A34005 943 61 of of IN A34005 943 62 half half PDT A34005 943 63 the the DT A34005 943 64 angle angle NN A34005 943 65 sought seek VBN A34005 943 66 . . . A34005 944 1 These these DT A34005 944 2 Proportions proportion NNS A34005 944 3 are be VBP A34005 944 4 published publish VBN A34005 944 5 in in IN A34005 944 6 order order NN A34005 944 7 to to IN A34005 944 8 their -PRON- PRP$ A34005 944 9 Application application NN A34005 944 10 to to IN A34005 944 11 the the DT A34005 944 12 Serpentine Serpentine NNP A34005 944 13 Line Line NNP A34005 944 14 , , , A34005 944 15 which which WDT A34005 944 16 will will MD A34005 944 17 be be VB A34005 944 18 accomodated accomodate VBN A34005 944 19 for for IN A34005 944 20 the the DT A34005 944 21 sudden sudden JJ A34005 944 22 operating operating NN A34005 944 23 of of IN A34005 944 24 any any DT A34005 944 25 of of IN A34005 944 26 them -PRON- PRP A34005 944 27 ; ; : A34005 944 28 the the DT A34005 944 29 Axioms axiom NNS A34005 944 30 to to TO A34005 944 31 be be VB A34005 944 32 remembred remembre VBN A34005 944 33 are be VBP A34005 944 34 not not RB A34005 944 35 many many JJ A34005 944 36 , , , A34005 944 37 the the DT A34005 944 38 Reader reader NN A34005 944 39 will will MD A34005 944 40 meet meet VB A34005 944 41 with with IN A34005 944 42 their -PRON- PRP$ A34005 944 43 Demonstration Demonstration NNP A34005 944 44 and and CC A34005 944 45 Application Application NNP A34005 944 46 in in IN A34005 944 47 Mr Mr NNP A34005 944 48 Newtons Newtons NNP A34005 944 49 Trigonometry Trigonometry NNP A34005 944 50 now now RB A34005 944 51 in in IN A34005 944 52 the the DT A34005 944 53 Press Press NNP A34005 944 54 , , , A34005 944 55 and and CC A34005 944 56 said say VBD A34005 944 57 to to TO A34005 944 58 be be VB A34005 944 59 near near IN A34005 944 60 finished finish VBN A34005 944 61 : : : A34005 944 62 The the DT A34005 944 63 four four CD A34005 944 64 Proportions Proportions NNPS A34005 944 65 in in IN A34005 944 66 plain plain JJ A34005 944 67 Triangles Triangles NNPS A34005 944 68 , , , A34005 944 69 when when WRB A34005 944 70 three three CD A34005 944 71 sides side NNS A34005 944 72 are be VBP A34005 944 73 given give VBN A34005 944 74 to to TO A34005 944 75 find find VB A34005 944 76 an an DT A34005 944 77 angle angle NN A34005 944 78 without without IN A34005 944 79 the the DT A34005 944 80 Cadence Cadence NNP A34005 944 81 of of IN A34005 944 82 Perpendiculars perpendicular NNS A34005 944 83 are be VBP A34005 944 84 demonstrated demonstrate VBN A34005 944 85 in in IN A34005 944 86 the the DT A34005 944 87 27 27 CD A34005 944 88 Section Section NNP A34005 944 89 of of IN A34005 944 90 the the DT A34005 944 91 late late JJ A34005 944 92 Miscellanies Miscellanies NNPS A34005 944 93 of of IN A34005 944 94 Francis Francis NNP A34005 944 95 van van NNP A34005 944 96 Schooten Schooten NNP A34005 944 97 . . . A34005 945 1 The the DT A34005 945 2 Construction construction NN A34005 945 3 of of IN A34005 945 4 diverse diverse JJ A34005 945 5 Instruments instrument NNS A34005 945 6 will will MD A34005 945 7 require require VB A34005 945 8 a a DT A34005 945 9 Table table NN A34005 945 10 of of IN A34005 945 11 the the DT A34005 945 12 Suns Suns NNPS A34005 945 13 Altitudes Altitudes NNPS A34005 945 14 to to IN A34005 945 15 the the DT A34005 945 16 Hour Hour NNP A34005 945 17 and and CC A34005 945 18 Azimuth Azimuth NNP A34005 945 19 assigned assign VBN A34005 945 20 ; ; : A34005 945 21 And and CC A34005 945 22 for for IN A34005 945 23 the the DT A34005 945 24 Acurate acurate JJ A34005 945 25 bounding bounding NN A34005 945 26 in in RP A34005 945 27 of of IN A34005 945 28 the the DT A34005 945 29 Lines Lines NNPS A34005 945 30 , , , A34005 945 31 it -PRON- PRP A34005 945 32 may may MD A34005 945 33 be be VB A34005 945 34 a a DT A34005 945 35 Table table NN A34005 945 36 of of IN A34005 945 37 Hours hour NNS A34005 945 38 and and CC A34005 945 39 Azimuths Azimuths NNPS A34005 945 40 to to IN A34005 945 41 any any DT A34005 945 42 Altitude altitude NN A34005 945 43 assigned assign VBN A34005 945 44 ; ; : A34005 945 45 for for IN A34005 945 46 the the DT A34005 945 47 easie easie NNP A34005 945 48 Calculating Calculating NNP A34005 945 49 whereof whereof NNP A34005 945 50 , , , A34005 945 51 I -PRON- PRP A34005 945 52 am be VBP A34005 945 53 desired desire VBN A34005 945 54 for for IN A34005 945 55 the the DT A34005 945 56 ease ease NN A34005 945 57 and and CC A34005 945 58 benefit benefit NN A34005 945 59 of of IN A34005 945 60 the the DT A34005 945 61 Trade Trade NNP A34005 945 62 , , , A34005 945 63 to to TO A34005 945 64 render render VB A34005 945 65 this this DT A34005 945 66 part part NN A34005 945 67 of of IN A34005 945 68 Calculation Calculation NNP A34005 945 69 as as IN A34005 945 70 facil facil NN A34005 945 71 as as IN A34005 945 72 I -PRON- PRP A34005 945 73 can can MD A34005 945 74 , , , A34005 945 75 and and CC A34005 945 76 therefore therefore RB A34005 945 77 shall shall MD A34005 945 78 handle handle VB A34005 945 79 it -PRON- PRP A34005 945 80 the the DT A34005 945 81 more more RBR A34005 945 82 largely largely RB A34005 945 83 . . . A34005 946 1 To to TO A34005 946 2 Calculate calculate VB A34005 946 3 a a DT A34005 946 4 Table table NN A34005 946 5 of of IN A34005 946 6 Hours hour NNS A34005 946 7 to to IN A34005 946 8 all all DT A34005 946 9 Altitudes altitude NNS A34005 946 10 in in IN A34005 946 11 all all DT A34005 946 12 Latitudes latitude NNS A34005 946 13 . . . A34005 947 1 The the DT A34005 947 2 1 1 CD A34005 947 3 . . . A34005 948 1 Proportion proportion NN A34005 948 2 shall shall MD A34005 948 3 be be VB A34005 948 4 to to TO A34005 948 5 find find VB A34005 948 6 the the DT A34005 948 7 Suns Suns NNPS A34005 948 8 Altitude Altitude NNP A34005 948 9 in in IN A34005 948 10 Summer summer NN A34005 948 11 , , , A34005 948 12 or or CC A34005 948 13 Depression Depression NNP A34005 948 14 in in IN A34005 948 15 Winter Winter NNP A34005 948 16 at at IN A34005 948 17 the the DT A34005 948 18 hour hour NN A34005 948 19 of of IN A34005 948 20 6 6 CD A34005 948 21 . . . A34005 949 1 As as IN A34005 949 2 the the DT A34005 949 3 Radius Radius NNP A34005 949 4 , , , A34005 949 5 To to IN A34005 949 6 the the DT A34005 949 7 sine sine NN A34005 949 8 of of IN A34005 949 9 the the DT A34005 949 10 Latitude Latitude NNP A34005 949 11 : : : A34005 949 12 So so RB A34005 949 13 the the DT A34005 949 14 sine sine NN A34005 949 15 of of IN A34005 949 16 the the DT A34005 949 17 Declination Declination NNP A34005 949 18 , , , A34005 949 19 To to IN A34005 949 20 the the DT A34005 949 21 sine sine NN A34005 949 22 of of IN A34005 949 23 the the DT A34005 949 24 Altitude Altitude NNP A34005 949 25 or or CC A34005 949 26 Depression Depression NNP A34005 949 27 sought seek VBD A34005 949 28 This this DT A34005 949 29 remains remain VBZ A34005 949 30 fixed fix VBN A34005 949 31 for for IN A34005 949 32 all all PDT A34005 949 33 that that DT A34005 949 34 day day NN A34005 949 35 the the DT A34005 949 36 Suns Suns NNPS A34005 949 37 Declination Declination NNP A34005 949 38 supposed suppose VBD A34005 949 39 not not RB A34005 949 40 to to TO A34005 949 41 vary vary VB A34005 949 42 , , , A34005 949 43 and and CC A34005 949 44 then then RB A34005 949 45 it -PRON- PRP A34005 949 46 holds hold VBZ A34005 949 47 , , , A34005 949 48 As as IN A34005 949 49 the the DT A34005 949 50 Cosine Cosine NNP A34005 949 51 of of IN A34005 949 52 the the DT A34005 949 53 Declination declination NN A34005 949 54 , , , A34005 949 55 To to IN A34005 949 56 the the DT A34005 949 57 Secant secant NN A34005 949 58 of of IN A34005 949 59 the the DT A34005 949 60 Latitude Latitude NNP A34005 949 61 : : : A34005 949 62 So so CC A34005 949 63 in in IN A34005 949 64 Summer summer NN A34005 949 65 is be VBZ A34005 949 66 the the DT A34005 949 67 difference difference NN A34005 949 68 in in IN A34005 949 69 Winter Winter NNP A34005 949 70 the the DT A34005 949 71 sum sum NN A34005 949 72 of of IN A34005 949 73 the the DT A34005 949 74 sines sine NNS A34005 949 75 of of IN A34005 949 76 the the DT A34005 949 77 Suns Suns NNP A34005 949 78 Altitude Altitude NNP A34005 949 79 proposed propose VBD A34005 949 80 , , , A34005 949 81 and and CC A34005 949 82 of of IN A34005 949 83 his -PRON- PRP$ A34005 949 84 Altitude Altitude NNP A34005 949 85 or or CC A34005 949 86 Depression depression NN A34005 949 87 at at IN A34005 949 88 6 6 CD A34005 949 89 To to IN A34005 949 90 the the DT A34005 949 91 sine sine NN A34005 949 92 of of IN A34005 949 93 the the DT A34005 949 94 hour hour NN A34005 949 95 from from IN A34005 949 96 6 6 CD A34005 949 97 towards towards IN A34005 949 98 noon noon NN A34005 949 99 in in IN A34005 949 100 Winter Winter NNP A34005 949 101 , , , A34005 949 102 and and CC A34005 949 103 in in IN A34005 949 104 Summer summer NN A34005 949 105 also also RB A34005 949 106 , , , A34005 949 107 when when WRB A34005 949 108 the the DT A34005 949 109 given give VBN A34005 949 110 Altitude altitude NN A34005 949 111 is be VBZ A34005 949 112 greater great JJR A34005 949 113 then then RB A34005 949 114 the the DT A34005 949 115 Altitude Altitude NNP A34005 949 116 of of IN A34005 949 117 6 6 CD A34005 949 118 , , , A34005 949 119 but but CC A34005 949 120 when when WRB A34005 949 121 it -PRON- PRP A34005 949 122 is be VBZ A34005 949 123 less less JJR A34005 949 124 towards towards IN A34005 949 125 midnight midnight NN A34005 949 126 . . . A34005 950 1 This this DT A34005 950 2 Proportion proportion NN A34005 950 3 also also RB A34005 950 4 holds hold VBZ A34005 950 5 for for IN A34005 950 6 Calculating calculate VBG A34005 950 7 the the DT A34005 950 8 Horary Horary NNP A34005 950 9 distance distance NN A34005 950 10 of of IN A34005 950 11 any any DT A34005 950 12 Star Star NNP A34005 950 13 from from IN A34005 950 14 the the DT A34005 950 15 Meridian Meridian NNP A34005 950 16 . . . A34005 951 1 In in IN A34005 951 2 like like JJ A34005 951 3 manner manner NN A34005 951 4 to to TO A34005 951 5 Calculate calculate VB A34005 951 6 the the DT A34005 951 7 Azimuth Azimuth NNP A34005 951 8 . . . A34005 952 1 As as IN A34005 952 2 the the DT A34005 952 3 sine sine NN A34005 952 4 of of IN A34005 952 5 the the DT A34005 952 6 Latitude Latitude NNP A34005 952 7 , , , A34005 952 8 To to TO A34005 952 9 sine sine VB A34005 952 10 of of IN A34005 952 11 the the DT A34005 952 12 Declination Declination NNP A34005 952 13 : : : A34005 952 14 So so RB A34005 952 15 is be VBZ A34005 952 16 the the DT A34005 952 17 Radius Radius NNP A34005 952 18 , , , A34005 952 19 To to IN A34005 952 20 the the DT A34005 952 21 side side NN A34005 952 22 of of IN A34005 952 23 the the DT A34005 952 24 Suns Suns NNPS A34005 952 25 Altitude Altitude NNP A34005 952 26 or or CC A34005 952 27 Depression depression NN A34005 952 28 in in IN A34005 952 29 the the DT A34005 952 30 prime prime JJ A34005 952 31 Vertical Vertical NNP A34005 952 32 , , , A34005 952 33 that that RB A34005 952 34 is is RB A34005 952 35 , , , A34005 952 36 being be VBG A34005 952 37 East East NNP A34005 952 38 or or CC A34005 952 39 West West NNP A34005 952 40 . . . A34005 953 1 This this DT A34005 953 2 remains remain VBZ A34005 953 3 fixed fix VBN A34005 953 4 for for IN A34005 953 5 one one CD A34005 953 6 day day NN A34005 953 7 . . . A34005 954 1 Then then RB A34005 954 2 , , , A34005 954 3 As as IN A34005 954 4 the the DT A34005 954 5 Cosine Cosine NNP A34005 954 6 of of IN A34005 954 7 the the DT A34005 954 8 Altitude altitude NN A34005 954 9 , , , A34005 954 10 To to IN A34005 954 11 the the DT A34005 954 12 Tangent Tangent NNP A34005 954 13 of of IN A34005 954 14 the the DT A34005 954 15 Latitude Latitude NNP A34005 954 16 : : : A34005 954 17 So so CC A34005 954 18 in in IN A34005 954 19 Summer summer NN A34005 954 20 is be VBZ A34005 954 21 the the DT A34005 954 22 difference difference NN A34005 954 23 , , , A34005 954 24 and and CC A34005 954 25 in in IN A34005 954 26 Winter Winter NNP A34005 954 27 the the DT A34005 954 28 sum sum NN A34005 954 29 of of IN A34005 954 30 the the DT A34005 954 31 sines sine NNS A34005 954 32 of of IN A34005 954 33 the the DT A34005 954 34 Suns Suns NNP A34005 954 35 Altitude Altitude NNP A34005 954 36 proposed propose VBD A34005 954 37 , , , A34005 954 38 and and CC A34005 954 39 of of IN A34005 954 40 his -PRON- PRP$ A34005 954 41 Vertical Vertical NNP A34005 954 42 Altitude Altitude NNP A34005 954 43 or or CC A34005 954 44 Depression Depression NNP A34005 954 45 , , , A34005 954 46 To to IN A34005 954 47 the the DT A34005 954 48 sine sine NN A34005 954 49 of of IN A34005 954 50 the the DT A34005 954 51 Azimuth Azimuth NNP A34005 954 52 towards towards IN A34005 954 53 noon noon NN A34005 954 54 Meridian Meridian NNP A34005 954 55 in in IN A34005 954 56 Winter Winter NNP A34005 954 57 and and CC A34005 954 58 in in IN A34005 954 59 Summer summer NN A34005 954 60 also also RB A34005 954 61 , , , A34005 954 62 when when WRB A34005 954 63 the the DT A34005 954 64 given give VBN A34005 954 65 Altitude altitude NN A34005 954 66 is be VBZ A34005 954 67 greater great JJR A34005 954 68 then then RB A34005 954 69 the the DT A34005 954 70 Vertical Vertical NNP A34005 954 71 Altitude Altitude NNP A34005 954 72 or or CC A34005 954 73 Depression Depression NNP A34005 954 74 , , , A34005 954 75 but but CC A34005 954 76 when when WRB A34005 954 77 it -PRON- PRP A34005 954 78 is be VBZ A34005 954 79 less less JJR A34005 954 80 towards towards IN A34005 954 81 Midnight Midnight NNP A34005 954 82 Meridian Meridian NNP A34005 954 83 . . . A34005 955 1 This this DT A34005 955 2 Proportion proportion NN A34005 955 3 is be VBZ A34005 955 4 general general JJ A34005 955 5 either either CC A34005 955 6 for for IN A34005 955 7 Sun Sun NNP A34005 955 8 or or CC A34005 955 9 Stars Stars NNP A34005 955 10 , , , A34005 955 11 when when WRB A34005 955 12 the the DT A34005 955 13 Declination Declination NNP A34005 955 14 is be VBZ A34005 955 15 less less JJR A34005 955 16 then then RB A34005 955 17 the the DT A34005 955 18 Latitude Latitude NNP A34005 955 19 of of IN A34005 955 20 the the DT A34005 955 21 place place NN A34005 955 22 ; ; : A34005 955 23 But but CC A34005 955 24 when when WRB A34005 955 25 it -PRON- PRP A34005 955 26 is be VBZ A34005 955 27 more more JJR A34005 955 28 , , , A34005 955 29 say say VBP A34005 955 30 as as IN A34005 955 31 before before RB A34005 955 32 , , , A34005 955 33 As as IN A34005 955 34 the the DT A34005 955 35 sine sine NN A34005 955 36 of of IN A34005 955 37 the the DT A34005 955 38 Latitude Latitude NNP A34005 955 39 , , , A34005 955 40 To to IN A34005 955 41 the the DT A34005 955 42 sine sine NN A34005 955 43 of of IN A34005 955 44 the the DT A34005 955 45 Declination Declination NNP A34005 955 46 : : : A34005 955 47 So so RB A34005 955 48 is be VBZ A34005 955 49 the the DT A34005 955 50 Radius Radius NNP A34005 955 51 , , , A34005 955 52 To to IN A34005 955 53 a a DT A34005 955 54 fourth fourth JJ A34005 955 55 we -PRON- PRP A34005 955 56 may may MD A34005 955 57 call call VB A34005 955 58 it -PRON- PRP A34005 955 59 a a DT A34005 955 60 Secant secant NN A34005 955 61 . . . A34005 956 1 Again again RB A34005 956 2 . . . A34005 957 1 As as IN A34005 957 2 Cosine Cosine NNP A34005 957 3 Altitude Altitude NNP A34005 957 4 , , , A34005 957 5 To to IN A34005 957 6 the the DT A34005 957 7 Tangent Tangent NNP A34005 957 8 of of IN A34005 957 9 the the DT A34005 957 10 Latitude Latitude NNP A34005 957 11 : : : A34005 957 12 So so RB A34005 957 13 in in IN A34005 957 14 declinations declination NNS A34005 957 15 towards towards IN A34005 957 16 the the DT A34005 957 17 Depressed Depressed NNP A34005 957 18 Pole Pole NNP A34005 957 19 is be VBZ A34005 957 20 the the DT A34005 957 21 sum sum NN A34005 957 22 ; ; : A34005 957 23 but but CC A34005 957 24 towards towards IN A34005 957 25 the the DT A34005 957 26 Elevated Elevated NNP A34005 957 27 Pole Pole NNP A34005 957 28 the the DT A34005 957 29 difference difference NN A34005 957 30 of of IN A34005 957 31 this this DT A34005 957 32 Secant Secant NNP A34005 957 33 , , , A34005 957 34 and and CC A34005 957 35 of of IN A34005 957 36 the the DT A34005 957 37 sine sine NN A34005 957 38 of of IN A34005 957 39 the the DT A34005 957 40 Sun Sun NNP A34005 957 41 or or CC A34005 957 42 Stars Stars NNP A34005 957 43 Altitude Altitude NNP A34005 957 44 , , , A34005 957 45 To to IN A34005 957 46 the the DT A34005 957 47 sine sine NN A34005 957 48 of of IN A34005 957 49 the the DT A34005 957 50 Azimuth Azimuth NNP A34005 957 51 from from IN A34005 957 52 the the DT A34005 957 53 Vertical Vertical NNP A34005 957 54 towards towards IN A34005 957 55 the the DT A34005 957 56 noon noon NN A34005 957 57 Meridian Meridian NNP A34005 957 58 . . . A34005 958 1 Before before IN A34005 958 2 Application application NN A34005 958 3 be be VB A34005 958 4 made make VBN A34005 958 5 , , , A34005 958 6 the the DT A34005 958 7 latter latter JJ A34005 958 8 part part NN A34005 958 9 of of IN A34005 958 10 these these DT A34005 958 11 Proportions Proportions NNPS A34005 958 12 being be VBG A34005 958 13 of of IN A34005 958 14 my -PRON- PRP$ A34005 958 15 own own JJ A34005 958 16 peculiar peculiar JJ A34005 958 17 Invention Invention NNP A34005 958 18 , , , A34005 958 19 and and CC A34005 958 20 of of IN A34005 958 21 very very RB A34005 958 22 great great JJ A34005 958 23 use use NN A34005 958 24 both both DT A34005 958 25 for for IN A34005 958 26 Calculation Calculation NNP A34005 958 27 , , , A34005 958 28 and and CC A34005 958 29 Instrumentally instrumentally RB A34005 958 30 , , , A34005 958 31 it -PRON- PRP A34005 958 32 will will MD A34005 958 33 be be VB A34005 958 34 necessary necessary JJ A34005 958 35 to to TO A34005 958 36 demonstrate demonstrate VB A34005 958 37 the the DT A34005 958 38 same same JJ A34005 958 39 . . . A34005 959 1 For for IN A34005 959 2 the the DT A34005 959 3 Hour Hour NNP A34005 959 4 from from IN A34005 959 5 the the DT A34005 959 6 Analemma Analemma NNP A34005 959 7 . . . A34005 960 1 Having have VBG A34005 960 2 in in IN A34005 960 3 the the DT A34005 960 4 Scheme Scheme NNP A34005 960 5 annexed annexed NNS A34005 960 6 drawn draw VBD A34005 960 7 the the DT A34005 960 8 Equator Equator NNP A34005 960 9 and and CC A34005 960 10 Horizon Horizon NNP A34005 960 11 , , , A34005 960 12 the the DT A34005 960 13 two two CD A34005 960 14 prickt prickt NNS A34005 960 15 Lines line NNS A34005 960 16 passing pass VBG A34005 960 17 through through IN A34005 960 18 the the DT A34005 960 19 Center Center NNP A34005 960 20 , , , A34005 960 21 as as IN A34005 960 22 also also RB A34005 960 23 the the DT A34005 960 24 Prime Prime NNP A34005 960 25 Vertical Vertical NNP A34005 960 26 and and CC A34005 960 27 Axis Axis NNP A34005 960 28 , , , A34005 960 29 the the DT A34005 960 30 two two CD A34005 960 31 streight streight JJ A34005 960 32 Lines Lines NNPS A34005 960 33 passing pass VBG A34005 960 34 through through IN A34005 960 35 the the DT A34005 960 36 same same JJ A34005 960 37 . . . A34005 961 1 Let let VB A34005 961 2 I -PRON- PRP A34005 961 3 X x NN A34005 961 4 and and CC A34005 961 5 L l NN A34005 961 6 M M NNP A34005 961 7 represent represent VBP A34005 961 8 two two CD A34005 961 9 Parralells parralell NNS A34005 961 10 of of IN A34005 961 11 Declination declination NN A34005 961 12 on on IN A34005 961 13 each each DT A34005 961 14 side side NN A34005 961 15 the the DT A34005 961 16 Equator equator NN A34005 961 17 , , , A34005 961 18 and and CC A34005 961 19 O o UH A34005 961 20 X x NN A34005 961 21 a a DT A34005 961 22 Parralel Parralel NNP A34005 961 23 of of IN A34005 961 24 the the DT A34005 961 25 Suns Suns NNPS A34005 961 26 Altitude Altitude NNP A34005 961 27 in in IN A34005 961 28 Summer summer NN A34005 961 29 , , , A34005 961 30 and and CC A34005 961 31 P p NN A34005 961 32 Q q NN A34005 961 33 of of IN A34005 961 34 his -PRON- PRP$ A34005 961 35 Depression Depression NNP A34005 961 36 in in IN A34005 961 37 Winter Winter NNP A34005 961 38 , , , A34005 961 39 at at IN A34005 961 40 the the DT A34005 961 41 hour hour NN A34005 961 42 of of IN A34005 961 43 6 6 CD A34005 961 44 , , , A34005 961 45 because because IN A34005 961 46 these these DT A34005 961 47 Parralells parralell NNS A34005 961 48 pass pass VBP A34005 961 49 through through IN A34005 961 50 the the DT A34005 961 51 Intersection intersection NN A34005 961 52 of of IN A34005 961 53 the the DT A34005 961 54 Parralells parralell NNS A34005 961 55 of of IN A34005 961 56 Declination declination NN A34005 961 57 with with IN A34005 961 58 the the DT A34005 961 59 Axis Axis NNP A34005 961 60 . . . A34005 962 1 Let let VB A34005 962 2 R r NN A34005 962 3 S S NNP A34005 962 4 be be VB A34005 962 5 a a DT A34005 962 6 Parralel Parralel NNP A34005 962 7 of of IN A34005 962 8 Altitude altitude NN A34005 962 9 after after IN A34005 962 10 6 6 CD A34005 962 11 , , , A34005 962 12 and and CC A34005 962 13 T t NN A34005 962 14 V v NN A34005 962 15 a a DT A34005 962 16 Parralel Parralel NNP A34005 962 17 of of IN A34005 962 18 Altitude altitude NN A34005 962 19 before before IN A34005 962 20 it -PRON- PRP A34005 962 21 ; ; : A34005 962 22 from from IN A34005 962 23 the the DT A34005 962 24 Intersections Intersections NNPS A34005 962 25 of of IN A34005 962 26 these these DT A34005 962 27 Parralells parralell NNS A34005 962 28 of of IN A34005 962 29 Altitude altitude NN A34005 962 30 with with IN A34005 962 31 the the DT A34005 962 32 Parralels Parralels NNPS A34005 962 33 of of IN A34005 962 34 Declination Declination NNP A34005 962 35 let let VBD A34005 962 36 fall fall VB A34005 962 37 Perpendiculars Perpendiculars NNP A34005 962 38 on on IN A34005 962 39 the the DT A34005 962 40 Parralells parralell NNS A34005 962 41 of of IN A34005 962 42 the the DT A34005 962 43 Suns Suns NNPS A34005 962 44 Altitude Altitude NNP A34005 962 45 or or CC A34005 962 46 Depression depression NN A34005 962 47 at at IN A34005 962 48 6 6 CD A34005 962 49 , , , A34005 962 50 and and CC A34005 962 51 then then RB A34005 962 52 we -PRON- PRP A34005 962 53 shall shall MD A34005 962 54 have have VB A34005 962 55 divers diver NNS A34005 962 56 right right RB A34005 962 57 Lined line VBN A34005 962 58 right right RB A34005 962 59 angled angle VBD A34005 962 60 Triangles Triangles NNP A34005 962 61 Constituted constitute VBN A34005 962 62 in in IN A34005 962 63 which which WDT A34005 962 64 we -PRON- PRP A34005 962 65 shall shall MD A34005 962 66 make make VB A34005 962 67 use use NN A34005 962 68 of of IN A34005 962 69 the the DT A34005 962 70 Proportion Proportion NNP A34005 962 71 of of IN A34005 962 72 the the DT A34005 962 73 sines sine NNS A34005 962 74 of of IN A34005 962 75 angles angle NNS A34005 962 76 to to IN A34005 962 77 their -PRON- PRP$ A34005 962 78 opposite opposite JJ A34005 962 79 sides side NNS A34005 962 80 an an DT A34005 962 81 Axiom Axiom NNP A34005 962 82 of of IN A34005 962 83 common common JJ A34005 962 84 demonstration demonstration NN A34005 962 85 . . . A34005 963 1 In in IN A34005 963 2 the the DT A34005 963 3 Triangle Triangle NNP A34005 963 4 A A NNP A34005 963 5 F f NN A34005 963 6 E e NN A34005 963 7 , , , A34005 963 8 As as IN A34005 963 9 the the DT A34005 963 10 sine sine NN A34005 963 11 of of IN A34005 963 12 the the DT A34005 963 13 angle angle NN A34005 963 14 at at IN A34005 963 15 F F NNP A34005 963 16 the the DT A34005 963 17 Radius Radius NNP A34005 963 18 , , , A34005 963 19 To to IN A34005 963 20 its -PRON- PRP$ A34005 963 21 Opposite opposite JJ A34005 963 22 side side NN A34005 963 23 A a NN A34005 963 24 E e NN A34005 963 25 , , , A34005 963 26 the the DT A34005 963 27 sine sine NN A34005 963 28 of of IN A34005 963 29 the the DT A34005 963 30 Declination Declination NNP A34005 963 31 : : : A34005 963 32 So so RB A34005 963 33 the the DT A34005 963 34 sine sine NN A34005 963 35 of of IN A34005 963 36 the the DT A34005 963 37 Latitude Latitude NNP A34005 963 38 the the DT A34005 963 39 angle angle NN A34005 963 40 at at IN A34005 963 41 E e NN A34005 963 42 to to IN A34005 963 43 A A NNP A34005 963 44 F F NNP A34005 963 45 , , , A34005 963 46 the the DT A34005 963 47 sine sine NN A34005 963 48 of of IN A34005 963 49 the the DT A34005 963 50 Suns Suns NNPS A34005 963 51 Altitude Altitude NNP A34005 963 52 at at IN A34005 963 53 6 6 CD A34005 963 54 . . . A34005 964 1 Again again RB A34005 964 2 in in IN A34005 964 3 the the DT A34005 964 4 two two CD A34005 964 5 Opposite Opposite NNP A34005 964 6 Triangles Triangles NNPS A34005 964 7 A A NNP A34005 964 8 B B NNP A34005 964 9 C c NN A34005 964 10 , , , A34005 964 11 the the DT A34005 964 12 smaller small JJR A34005 964 13 before before IN A34005 964 14 the the DT A34005 964 15 greater great JJR A34005 964 16 after after IN A34005 964 17 6 6 CD A34005 964 18 . . . A34005 965 1 As as IN A34005 965 2 the the DT A34005 965 3 Cosine Cosine NNP A34005 965 4 of of IN A34005 965 5 the the DT A34005 965 6 Latitude Latitude NNP A34005 965 7 the the DT A34005 965 8 sine sine NN A34005 965 9 of of IN A34005 965 10 the the DT A34005 965 11 angle angle NN A34005 965 12 at at IN A34005 965 13 A a NN A34005 965 14 , , , A34005 965 15 To to IN A34005 965 16 its -PRON- PRP$ A34005 965 17 Opposite opposite JJ A34005 965 18 side side NN A34005 965 19 B b NN A34005 965 20 , , , A34005 965 21 C C NNP A34005 965 22 , , , A34005 965 23 the the DT A34005 965 24 difference difference NN A34005 965 25 of of IN A34005 965 26 the the DT A34005 965 27 sines sine NNS A34005 965 28 of of IN A34005 965 29 the the DT A34005 965 30 Suns Suns NNPS A34005 965 31 Altitude Altitude NNP A34005 965 32 at at IN A34005 965 33 6 6 CD A34005 965 34 , , , A34005 965 35 and and CC A34005 965 36 of of IN A34005 965 37 his -PRON- PRP$ A34005 965 38 proposed propose VBN A34005 965 39 Altitude altitude NN A34005 965 40 : : : A34005 965 41 So so RB A34005 965 42 is be VBZ A34005 965 43 the the DT A34005 965 44 Radius Radius NNP A34005 965 45 sine sine NN A34005 965 46 of of IN A34005 965 47 the the DT A34005 965 48 angle angle NN A34005 965 49 at at IN A34005 965 50 B b NN A34005 965 51 , , , A34005 965 52 To to IN A34005 965 53 C C NNP A34005 965 54 A A NNP A34005 965 55 , , , A34005 965 56 the the DT A34005 965 57 sine sine NN A34005 965 58 of of IN A34005 965 59 the the DT A34005 965 60 hour hour NN A34005 965 61 from from IN A34005 965 62 6 6 CD A34005 965 63 in in IN A34005 965 64 the the DT A34005 965 65 Parralel Parralel NNP A34005 965 66 of of IN A34005 965 67 Declination declination NN A34005 965 68 in in IN A34005 965 69 the the DT A34005 965 70 lower low JJR A34005 965 71 Triangle Triangle NNP A34005 965 72 before before RB A34005 965 73 , , , A34005 965 74 in in IN A34005 965 75 the the DT A34005 965 76 upper upper JJ A34005 965 77 after after IN A34005 965 78 6 6 CD A34005 965 79 . . . A34005 966 1 So so RB A34005 966 2 in in IN A34005 966 3 the the DT A34005 966 4 Winter winter NN A34005 966 5 or or CC A34005 966 6 lower low JJR A34005 966 7 Triangle Triangle NNP A34005 966 8 A A NNP A34005 966 9 B B NNP A34005 966 10 D D NNP A34005 966 11 C. C. NNP A34005 966 12 As as IN A34005 966 13 Cosine Cosine NNP A34005 966 14 of of IN A34005 966 15 the the DT A34005 966 16 Latitude Latitude NNP A34005 966 17 sine sine NN A34005 966 18 of of IN A34005 966 19 the the DT A34005 966 20 angle angle NN A34005 966 21 at at IN A34005 966 22 A a NN A34005 966 23 , , , A34005 966 24 To to IN A34005 966 25 B B NNP A34005 966 26 C C NNP A34005 966 27 , , , A34005 966 28 the the DT A34005 966 29 sum sum NN A34005 966 30 of of IN A34005 966 31 the the DT A34005 966 32 sines sine NNS A34005 966 33 of of IN A34005 966 34 the the DT A34005 966 35 Suns Suns NNP A34005 966 36 Depression Depression NNP A34005 966 37 at at IN A34005 966 38 6 6 CD A34005 966 39 B b NN A34005 966 40 D d NN A34005 966 41 , , , A34005 966 42 and and CC A34005 966 43 of of IN A34005 966 44 his -PRON- PRP$ A34005 966 45 given give VBN A34005 966 46 Altitude altitude NN A34005 966 47 D d NN A34005 966 48 C c NN A34005 966 49 : : : A34005 966 50 So so RB A34005 966 51 is be VBZ A34005 966 52 the the DT A34005 966 53 Radius Radius NNP A34005 966 54 the the DT A34005 966 55 sine sine NN A34005 966 56 of of IN A34005 966 57 the the DT A34005 966 58 angle angle NN A34005 966 59 at at IN A34005 966 60 B b NN A34005 966 61 , , , A34005 966 62 To to IN A34005 966 63 A A NNP A34005 966 64 C C NNP A34005 966 65 , , , A34005 966 66 the the DT A34005 966 67 sine sine NN A34005 966 68 of of IN A34005 966 69 the the DT A34005 966 70 hour hour NN A34005 966 71 from from IN A34005 966 72 6 6 CD A34005 966 73 towards towards IN A34005 966 74 noon noon NN A34005 966 75 in in IN A34005 966 76 the the DT A34005 966 77 Parralel Parralel NNP A34005 966 78 of of IN A34005 966 79 Declination Declination NNP A34005 966 80 , , , A34005 966 81 The the DT A34005 966 82 sine sine NN A34005 966 83 of of IN A34005 966 84 the the DT A34005 966 85 hour hour NN A34005 966 86 thus thus RB A34005 966 87 found find VBN A34005 966 88 in in IN A34005 966 89 a a DT A34005 966 90 Parralel Parralel NNP A34005 966 91 , , , A34005 966 92 is be VBZ A34005 966 93 to to TO A34005 966 94 be be VB A34005 966 95 reduced reduce VBN A34005 966 96 by by IN A34005 966 97 another another DT A34005 966 98 Analogy analogy NN A34005 966 99 to to IN A34005 966 100 the the DT A34005 966 101 common common JJ A34005 966 102 Radius Radius NNP A34005 966 103 , , , A34005 966 104 and and CC A34005 966 105 that that DT A34005 966 106 will will MD A34005 966 107 be be VB A34005 966 108 , , , A34005 966 109 As as IN A34005 966 110 the the DT A34005 966 111 Radius Radius NNP A34005 966 112 of of IN A34005 966 113 the the DT A34005 966 114 Parralel Parralel NNP A34005 966 115 I I NNP A34005 966 116 A a VBP A34005 966 117 , , , A34005 966 118 the the DT A34005 966 119 Cosine Cosine NNP A34005 966 120 of of IN A34005 966 121 the the DT A34005 966 122 Declination Declination NNP A34005 966 123 , , , A34005 966 124 Is be VBZ A34005 966 125 to to IN A34005 966 126 the the DT A34005 966 127 common common JJ A34005 966 128 Radius Radius NNP A34005 966 129 E E NNP A34005 966 130 AE AE NNP A34005 966 131 : : : A34005 966 132 So so RB A34005 966 133 is be VBZ A34005 966 134 any any DT A34005 966 135 other other JJ A34005 966 136 sine sine NN A34005 966 137 in in IN A34005 966 138 that that DT A34005 966 139 Parralel Parralel NNP A34005 966 140 . . . A34005 967 1 To to IN A34005 967 2 the the DT A34005 967 3 sine sine NN A34005 967 4 of of IN A34005 967 5 the the DT A34005 967 6 said say VBN A34005 967 7 Arch Arch NNP A34005 967 8 to to IN A34005 967 9 the the DT A34005 967 10 common common JJ A34005 967 11 Radius radius NN A34005 967 12 . . . A34005 968 1 Now now RB A34005 968 2 it -PRON- PRP A34005 968 3 rests rest VBZ A34005 968 4 to to TO A34005 968 5 be be VB A34005 968 6 proved prove VBN A34005 968 7 that that IN A34005 968 8 both both PDT A34005 968 9 these these DT A34005 968 10 Analogies analogy NNS A34005 968 11 may may MD A34005 968 12 be be VB A34005 968 13 reduced reduce VBN A34005 968 14 into into IN A34005 968 15 one one CD A34005 968 16 , , , A34005 968 17 and and CC A34005 968 18 that that DT A34005 968 19 will will MD A34005 968 20 be be VB A34005 968 21 done do VBN A34005 968 22 by by IN A34005 968 23 bringing bring VBG A34005 968 24 the the DT A34005 968 25 Rectangle Rectangle NNP A34005 968 26 of of IN A34005 968 27 the the DT A34005 968 28 two two CD A34005 968 29 middle middle JJ A34005 968 30 Tearms Tearms NNPS A34005 968 31 of of IN A34005 968 32 the the DT A34005 968 33 first first JJ A34005 968 34 Proportion proportion NN A34005 968 35 with with IN A34005 968 36 the the DT A34005 968 37 first first JJ A34005 968 38 Tearm Tearm NNP A34005 968 39 under under IN A34005 968 40 them -PRON- PRP A34005 968 41 as as IN A34005 968 42 an an DT A34005 968 43 improper improper JJ A34005 968 44 Fraction Fraction NNP A34005 968 45 to to TO A34005 968 46 be be VB A34005 968 47 placed place VBN A34005 968 48 as as IN A34005 968 49 a a DT A34005 968 50 single single JJ A34005 968 51 Tearm Tearm NNP A34005 968 52 in in IN A34005 968 53 the the DT A34005 968 54 second second JJ A34005 968 55 Proportion proportion NN A34005 968 56 , , , A34005 968 57 being be VBG A34005 968 58 in in IN A34005 968 59 value value NN A34005 968 60 the the DT A34005 968 61 answer answer NN A34005 968 62 found find VBN A34005 968 63 in in IN A34005 968 64 the the DT A34005 968 65 Parralel Parralel NNP A34005 968 66 , , , A34005 968 67 and and CC A34005 968 68 then then RB A34005 968 69 we -PRON- PRP A34005 968 70 have have VBP A34005 968 71 the the DT A34005 968 72 Rule Rule NNP A34005 968 73 of of IN A34005 968 74 three three CD A34005 968 75 to to TO A34005 968 76 Operate operate VB A34005 968 77 as as IN A34005 968 78 it -PRON- PRP A34005 968 79 were be VBD A34005 968 80 in in IN A34005 968 81 whole whole JJ A34005 968 82 Numbers number NNS A34005 968 83 and and CC A34005 968 84 mixt mixt NN A34005 968 85 . . . A34005 969 1 The the DT A34005 969 2 Proportion Proportion NNP A34005 969 3 will will MD A34005 969 4 run run VB A34005 969 5 , , , A34005 969 6 As as IN A34005 969 7 the the DT A34005 969 8 Cosine Cosine NNP A34005 969 9 of of IN A34005 969 10 the the DT A34005 969 11 Declination declination NN A34005 969 12 , , , A34005 969 13 To to IN A34005 969 14 Radius Radius NNP A34005 969 15 : : : A34005 969 16 So so RB A34005 969 17 the the DT A34005 969 18 said say VBD A34005 969 19 Improper Improper NNP A34005 969 20 Fraction Fraction NNP A34005 969 21 ▪ ▪ . A34005 969 22 To to IN A34005 969 23 the the DT A34005 969 24 Answer Answer NNP A34005 969 25 . . . A34005 970 1 and and CC A34005 970 2 so so RB A34005 970 3 proceeding proceed VBG A34005 970 4 according accord VBG A34005 970 5 to to IN A34005 970 6 the the DT A34005 970 7 Rules Rules NNPS A34005 970 8 of of IN A34005 970 9 Arithmetick Arithmetick NNP A34005 970 10 . . . A34005 971 1 The the DT A34005 971 2 Divisor Divisor NNP A34005 971 3 will will MD A34005 971 4 be be VB A34005 971 5 the the DT A34005 971 6 Rectangle Rectangle NNP A34005 971 7 of of IN A34005 971 8 the the DT A34005 971 9 Cosine Cosine NNP A34005 971 10 of of IN A34005 971 11 the the DT A34005 971 12 Declination Declination NNP A34005 971 13 , , , A34005 971 14 and and CC A34005 971 15 of of IN A34005 971 16 the the DT A34005 971 17 Cosine Cosine NNP A34005 971 18 of of IN A34005 971 19 the the DT A34005 971 20 Latitude Latitude NNP A34005 971 21 , , , A34005 971 22 one one CD A34005 971 23 of of IN A34005 971 24 the the DT A34005 971 25 middle middle JJ A34005 971 26 Tearms Tearms NNPS A34005 971 27 would would MD A34005 971 28 be be VB A34005 971 29 the the DT A34005 971 30 Square Square NNP A34005 971 31 of of IN A34005 971 32 the the DT A34005 971 33 Radius Radius NNP A34005 971 34 , , , A34005 971 35 and and CC A34005 971 36 the the DT A34005 971 37 other other JJ A34005 971 38 the the DT A34005 971 39 former former JJ A34005 971 40 sum sum NN A34005 971 41 or or CC A34005 971 42 difference difference NN A34005 971 43 . . . A34005 972 1 Now now RB A34005 972 2 if if IN A34005 972 3 any any DT A34005 972 4 two two CD A34005 972 5 Tearms tearm NNS A34005 972 6 of of IN A34005 972 7 a a DT A34005 972 8 Proportion proportion NN A34005 972 9 be be VB A34005 972 10 divided divide VBN A34005 972 11 by by IN A34005 972 12 a a DT A34005 972 13 common common JJ A34005 972 14 Divisor Divisor NNP A34005 972 15 , , , A34005 972 16 the the DT A34005 972 17 Dividends dividend NNS A34005 972 18 being be VBG A34005 972 19 Equimultiplex Equimultiplex NNP A34005 972 20 to to IN A34005 972 21 the the DT A34005 972 22 Quotients Quotients NNPS A34005 972 23 , , , A34005 972 24 the the DT A34005 972 25 Quotients Quotients NNP A34005 972 26 bear bear VBP A34005 972 27 the the DT A34005 972 28 same same JJ A34005 972 29 mutual mutual JJ A34005 972 30 Proportion proportion NN A34005 972 31 as as IN A34005 972 32 the the DT A34005 972 33 Dividends dividend NNS A34005 972 34 by by IN A34005 972 35 18 18 CD A34005 972 36 ● ● SYM A34005 972 37 Propos propo NNS A34005 972 38 . . . A34005 973 1 7 7 CD A34005 973 2 Euclid Euclid NNP A34005 973 3 . . . A34005 974 1 So so RB A34005 974 2 in in IN A34005 974 3 this this DT A34005 974 4 instance instance NN A34005 974 5 if if IN A34005 974 6 the the DT A34005 974 7 Rectangle Rectangle NNP A34005 974 8 of of IN A34005 974 9 the the DT A34005 974 10 Cosines Cosines NNPS A34005 974 11 both both DT A34005 974 12 of of IN A34005 974 13 the the DT A34005 974 14 Latitude Latitude NNP A34005 974 15 and and CC A34005 974 16 of of IN A34005 974 17 the the DT A34005 974 18 Declination Declination NNP A34005 974 19 be be VB A34005 974 20 divided divide VBN A34005 974 21 by by IN A34005 974 22 one one CD A34005 974 23 of of IN A34005 974 24 those those DT A34005 974 25 Tearms tearm NNS A34005 974 26 , , , A34005 974 27 the the DT A34005 974 28 Quotient Quotient NNP A34005 974 29 will will MD A34005 974 30 be be VB A34005 974 31 the the DT A34005 974 32 other other JJ A34005 974 33 , , , A34005 974 34 and and CC A34005 974 35 if if IN A34005 974 36 the the DT A34005 974 37 Square Square NNP A34005 974 38 of of IN A34005 974 39 the the DT A34005 974 40 Radius Radius NNP A34005 974 41 be be VB A34005 974 42 divided divide VBN A34005 974 43 by by IN A34005 974 44 the the DT A34005 974 45 Sine Sine NNP A34005 974 46 of of IN A34005 974 47 an an DT A34005 974 48 Arch Arch NNP A34005 974 49 , , , A34005 974 50 the the DT A34005 974 51 Quotient Quotient NNP A34005 974 52 will will MD A34005 974 53 be be VB A34005 974 54 the the DT A34005 974 55 Secant secant NN A34005 974 56 of of IN A34005 974 57 that that DT A34005 974 58 Arks Arks NNP A34005 974 59 Complement Complement NNP A34005 974 60 ; ; : A34005 974 61 So so RB A34005 974 62 in in IN A34005 974 63 the the DT A34005 974 64 present present JJ A34005 974 65 Example Example NNP A34005 974 66 , , , A34005 974 67 if if IN A34005 974 68 the the DT A34005 974 69 former former JJ A34005 974 70 Rectangle Rectangle NNP A34005 974 71 be be VB A34005 974 72 divided divide VBN A34005 974 73 by by IN A34005 974 74 the the DT A34005 974 75 Cosine Cosine NNP A34005 974 76 of of IN A34005 974 77 the the DT A34005 974 78 Latitude Latitude NNP A34005 974 79 ▪ ▪ NN A34005 974 80 the the DT A34005 974 81 Quotient Quotient NNP A34005 974 82 is be VBZ A34005 974 83 the the DT A34005 974 84 Cosine Cosine NNP A34005 974 85 of of IN A34005 974 86 the the DT A34005 974 87 Declination Declination NNP A34005 974 88 , , , A34005 974 89 if if IN A34005 974 90 the the DT A34005 974 91 Square Square NNP A34005 974 92 of of IN A34005 974 93 the the DT A34005 974 94 Radius Radius NNP A34005 974 95 be be VB A34005 974 96 divided divide VBN A34005 974 97 by by IN A34005 974 98 the the DT A34005 974 99 same same JJ A34005 974 100 Divisor Divisor NNP A34005 974 101 , , , A34005 974 102 the the DT A34005 974 103 Quotient Quotient NNP A34005 974 104 is be VBZ A34005 974 105 the the DT A34005 974 106 Secant secant NN A34005 974 107 of of IN A34005 974 108 the the DT A34005 974 109 Latitude Latitude NNP A34005 974 110 , , , A34005 974 111 likewise likewise RB A34005 974 112 if if IN A34005 974 113 both both DT A34005 974 114 those those DT A34005 974 115 Plains Plains NNPS A34005 974 116 were be VBD A34005 974 117 divided divide VBN A34005 974 118 by by IN A34005 974 119 the the DT A34005 974 120 Cosine Cosine NNP A34005 974 121 of of IN A34005 974 122 the the DT A34005 974 123 Declination Declination NNP A34005 974 124 , , , A34005 974 125 the the DT A34005 974 126 Quotients Quotients NNPS A34005 974 127 would would MD A34005 974 128 be be VB A34005 974 129 the the DT A34005 974 130 Cosine Cosine NNP A34005 974 131 of of IN A34005 974 132 the the DT A34005 974 133 Latitude Latitude NNP A34005 974 134 , , , A34005 974 135 and and CC A34005 974 136 the the DT A34005 974 137 Secant secant NN A34005 974 138 of of IN A34005 974 139 the the DT A34005 974 140 Declination declination NN A34005 974 141 , , , A34005 974 142 it -PRON- PRP A34005 974 143 therefore therefore RB A34005 974 144 holds hold VBZ A34005 974 145 , , , A34005 974 146 As as IN A34005 974 147 the the DT A34005 974 148 Cosine Cosine NNP A34005 974 149 of of IN A34005 974 150 the the DT A34005 974 151 Declination declination NN A34005 974 152 , , , A34005 974 153 To to IN A34005 974 154 the the DT A34005 974 155 Secant secant NN A34005 974 156 of of IN A34005 974 157 the the DT A34005 974 158 Latitude Latitude NNP A34005 974 159 , , , A34005 974 160 Or or CC A34005 974 161 , , , A34005 974 162 As as IN A34005 974 163 the the DT A34005 974 164 Cosine Cosine NNP A34005 974 165 of of IN A34005 974 166 the the DT A34005 974 167 Latitude Latitude NNP A34005 974 168 , , , A34005 974 169 To to IN A34005 974 170 the the DT A34005 974 171 Secant secant NN A34005 974 172 of of IN A34005 974 173 the the DT A34005 974 174 Declination declination NN A34005 974 175 : : : A34005 974 176 So so RB A34005 974 177 is be VBZ A34005 974 178 the the DT A34005 974 179 former former JJ A34005 974 180 sum sum NN A34005 974 181 or or CC A34005 974 182 difference difference NN A34005 974 183 of of IN A34005 974 184 sines sine NNS A34005 974 185 , , , A34005 974 186 To to IN A34005 974 187 the the DT A34005 974 188 sine sine NN A34005 974 189 of of IN A34005 974 190 the the DT A34005 974 191 hour hour NN A34005 974 192 from from IN A34005 974 193 6 6 CD A34005 974 194 , , , A34005 974 195 which which WDT A34005 974 196 was be VBD A34005 974 197 to to TO A34005 974 198 be be VB A34005 974 199 proved prove VBN A34005 974 200 . . . A34005 975 1 Corrollarie Corrollarie NNP A34005 975 2 . . . A34005 976 1 As as IN A34005 976 2 the the DT A34005 976 3 Radius Radius NNP A34005 976 4 , , , A34005 976 5 To to IN A34005 976 6 the the DT A34005 976 7 sine sine NN A34005 976 8 of of IN A34005 976 9 an an DT A34005 976 10 Arch Arch NNP A34005 976 11 in in IN A34005 976 12 a a DT A34005 976 13 lesser less JJR A34005 976 14 Circle Circle NNP A34005 976 15 or or CC A34005 976 16 Pararlell Pararlell NNP A34005 976 17 : : : A34005 976 18 So so RB A34005 976 19 is be VBZ A34005 976 20 the the DT A34005 976 21 Secant Secant NNP A34005 976 22 of of IN A34005 976 23 that that DT A34005 976 24 Parralell Parralell NNP A34005 976 25 , , , A34005 976 26 To to IN A34005 976 27 the the DT A34005 976 28 sine sine NN A34005 976 29 of of IN A34005 976 30 the the DT A34005 976 31 said say VBN A34005 976 32 Arch Arch NNP A34005 976 33 , , , A34005 976 34 to to IN A34005 976 35 the the DT A34005 976 36 common common JJ A34005 976 37 Radius Radius NNP A34005 976 38 . . . A34005 977 1 Hence hence RB A34005 977 2 may may MD A34005 977 3 be be VB A34005 977 4 observed observe VBN A34005 977 5 a a DT A34005 977 6 general general JJ A34005 977 7 Canon Canon NNP A34005 977 8 for for IN A34005 977 9 the the DT A34005 977 10 double double JJ A34005 977 11 or or CC A34005 977 12 compound compound NN A34005 977 13 Rule Rule NNP A34005 977 14 of of IN A34005 977 15 three three CD A34005 977 16 , , , A34005 977 17 divide divide VB A34005 977 18 the the DT A34005 977 19 Tearms Tearms NNPS A34005 977 20 into into IN A34005 977 21 two two CD A34005 977 22 single single JJ A34005 977 23 Rules rule NNS A34005 977 24 , , , A34005 977 25 by by IN A34005 977 26 placing place VBG A34005 977 27 two two CD A34005 977 28 Tearms tearm NNS A34005 977 29 of of IN A34005 977 30 like like IN A34005 977 31 Denomination denomination NN A34005 977 32 in in IN A34005 977 33 each each DT A34005 977 34 Rule Rule NNP A34005 977 35 , , , A34005 977 36 and and CC A34005 977 37 the the DT A34005 977 38 other other JJ A34005 977 39 remaining remain VBG A34005 977 40 Tearm Tearm NNP A34005 977 41 may may MD A34005 977 42 in in IN A34005 977 43 most most JJS A34005 977 44 Cases case NNS A34005 977 45 be be VB A34005 977 46 put put VBN A34005 977 47 among among IN A34005 977 48 either either DT A34005 977 49 of of IN A34005 977 50 these these DT A34005 977 51 two two CD A34005 977 52 Tearms tearm NNS A34005 977 53 of of IN A34005 977 54 like like IN A34005 977 55 Denomination denomination NN A34005 977 56 , , , A34005 977 57 and and CC A34005 977 58 then then RB A34005 977 59 by by IN A34005 977 60 arguing argue VBG A34005 977 61 whether whether IN A34005 977 62 like like UH A34005 977 63 require require VB A34005 977 64 like like IN A34005 977 65 , , , A34005 977 66 or or CC A34005 977 67 unlike unlike IN A34005 977 68 , , , A34005 977 69 the the DT A34005 977 70 Divisor Divisor NNP A34005 977 71 in in IN A34005 977 72 each each DT A34005 977 73 single single JJ A34005 977 74 Rule rule NN A34005 977 75 , , , A34005 977 76 may may MD A34005 977 77 be be VB A34005 977 78 discovered discover VBN A34005 977 79 , , , A34005 977 80 and and CC A34005 977 81 then then RB A34005 977 82 it -PRON- PRP A34005 977 83 will will MD A34005 977 84 hold hold VB A34005 977 85 in in RP A34005 977 86 all all DT A34005 977 87 Cases case NNS A34005 977 88 , , , A34005 977 89 As as IN A34005 977 90 the the DT A34005 977 91 Rectangle Rectangle NNP A34005 977 92 or or CC A34005 977 93 Product Product NNP A34005 977 94 of of IN A34005 977 95 the the DT A34005 977 96 two two CD A34005 977 97 Divisors Divisors NNPS A34005 977 98 , , , A34005 977 99 Is be VBZ A34005 977 100 to to IN A34005 977 101 the the DT A34005 977 102 product product NN A34005 977 103 of of IN A34005 977 104 any any DT A34005 977 105 two two CD A34005 977 106 of of IN A34005 977 107 the the DT A34005 977 108 other other JJ A34005 977 109 Tearms Tearms NNPS A34005 977 110 : : : A34005 977 111 So so RB A34005 977 112 is be VBZ A34005 977 113 the the DT A34005 977 114 other other JJ A34005 977 115 Tearm Tearm NNP A34005 977 116 left leave VBN A34005 977 117 , , , A34005 977 118 To to IN A34005 977 119 the the DT A34005 977 120 Number Number NNP A34005 977 121 sought seek VBD A34005 977 122 , , , A34005 977 123 For for IN A34005 977 124 the the DT A34005 977 125 Azimuth Azimuth NNP A34005 977 126 . . . A34005 978 1 Having have VBG A34005 978 2 drawn draw VBN A34005 978 3 the the DT A34005 978 4 Horizon Horizon NNP A34005 978 5 and and CC A34005 978 6 Axis Axis NNP A34005 978 7 , , , A34005 978 8 the the DT A34005 978 9 two two CD A34005 978 10 prickt prickt NNS A34005 978 11 Lines line NNS A34005 978 12 , , , A34005 978 13 the the DT A34005 978 14 Vertical Vertical NNP A34005 978 15 Circle Circle NNP A34005 978 16 Z Z NNP A34005 978 17 N N NNP A34005 978 18 , , , A34005 978 19 and and CC A34005 978 20 the the DT A34005 978 21 Equinoctial Equinoctial NNP A34005 978 22 Ae Ae NNP A34005 978 23 Ae Ae NNP A34005 978 24 , , , A34005 978 25 the the DT A34005 978 26 Parralels Parralels NNPS A34005 978 27 of of IN A34005 978 28 Declination Declination NNP A34005 978 29 I I NNP A34005 978 30 K K NNP A34005 978 31 and and CC A34005 978 32 L L NNP A34005 978 33 M M NNP A34005 978 34 , , , A34005 978 35 draw draw VB A34005 978 36 T t NN A34005 978 37 V v NN A34005 978 38 a a DT A34005 978 39 Parralel Parralel NNP A34005 978 40 of of IN A34005 978 41 lesser less JJR A34005 978 42 Altitude Altitude NNP A34005 978 43 then then RB A34005 978 44 that that IN A34005 978 45 in in IN A34005 978 46 the the DT A34005 978 47 Vertical Vertical NNP A34005 978 48 , , , A34005 978 49 and and CC A34005 978 50 R r NN A34005 978 51 S S NNP A34005 978 52 a a DT A34005 978 53 Parralel Parralel NNP A34005 978 54 of of IN A34005 978 55 greater great JJR A34005 978 56 Altitude altitude NN A34005 978 57 ; ; : A34005 978 58 Draw draw VB A34005 978 59 also also RB A34005 978 60 P p VBP A34005 978 61 Q q NN A34005 978 62 a a DT A34005 978 63 Parralel Parralel NNP A34005 978 64 of of IN A34005 978 65 Depression depression NN A34005 978 66 equal equal JJ A34005 978 67 to to IN A34005 978 68 the the DT A34005 978 69 Vertical Vertical NNP A34005 978 70 Altitude Altitude NNP A34005 978 71 , , , A34005 978 72 in in IN A34005 978 73 the the DT A34005 978 74 point point NN A34005 978 75 C c NN A34005 978 76 aboue aboue NN A34005 978 77 the the DT A34005 978 78 Center Center NNP A34005 978 79 the the DT A34005 978 80 Point Point NNP A34005 978 81 A A NNP A34005 978 82 being be VBG A34005 978 83 as as RB A34005 978 84 much much JJ A34005 978 85 below below IN A34005 978 86 it -PRON- PRP A34005 978 87 b b VBZ A34005 978 88 , , , A34005 978 89 eing ee VBG A34005 978 90 the the DT A34005 978 91 point point NN A34005 978 92 where where WRB A34005 978 93 the the DT A34005 978 94 Parralel Parralel NNP A34005 978 95 of of IN A34005 978 96 Declination Declination NNP A34005 978 97 intersects intersect VBZ A34005 978 98 the the DT A34005 978 99 Vertical Vertical NNP A34005 978 100 Circle Circle NNP A34005 978 101 , , , A34005 978 102 and and CC A34005 978 103 from from IN A34005 978 104 the the DT A34005 978 105 point point NN A34005 978 106 C c NN A34005 978 107 in in IN A34005 978 108 the the DT A34005 978 109 lesser less JJR A34005 978 110 parralel parralel NN A34005 978 111 of of IN A34005 978 112 Altitude Altitude NNP A34005 978 113 , , , A34005 978 114 let let VBD A34005 978 115 fall fall VB A34005 978 116 the the DT A34005 978 117 perpendicular perpendicular JJ A34005 978 118 C C NNP A34005 978 119 B B NNP A34005 978 120 on on IN A34005 978 121 the the DT A34005 978 122 parralel parralel NN A34005 978 123 of of IN A34005 978 124 Depression depression NN A34005 978 125 P P NNP A34005 978 126 Q Q NNP A34005 978 127 , , , A34005 978 128 by by IN A34005 978 129 this this DT A34005 978 130 means mean VBZ A34005 978 131 there there EX A34005 978 132 will will MD A34005 978 133 be be VB A34005 978 134 Constituted constituted JJ A34005 978 135 divers diver NNS A34005 978 136 right right RB A34005 978 137 lined line VBD A34005 978 138 , , , A34005 978 139 right right RB A34005 978 140 angled angle VBN A34005 978 141 Triangles Triangles NNPS A34005 978 142 , , , A34005 978 143 and and CC A34005 978 144 through through IN A34005 978 145 those those DT A34005 978 146 Points point NNS A34005 978 147 where where WRB A34005 978 148 the the DT A34005 978 149 parralel parralel NN A34005 978 150 of of IN A34005 978 151 Declination declination NN A34005 978 152 , , , A34005 978 153 and and CC A34005 978 154 parralels parralel NNS A34005 978 155 of of IN A34005 978 156 Altitude altitude NN A34005 978 157 intersect intersect NN A34005 978 158 , , , A34005 978 159 are be VBP A34005 978 160 drawn draw VBN A34005 978 161 Elipses Elipses NNP A34005 978 162 prickt prickt NNS A34005 978 163 from from IN A34005 978 164 the the DT A34005 978 165 Zenith Zenith NNP A34005 978 166 to to TO A34005 978 167 represent represent VB A34005 978 168 the the DT A34005 978 169 Azimuths Azimuths NNPS A34005 978 170 , , , A34005 978 171 and and CC A34005 978 172 in in IN A34005 978 173 the the DT A34005 978 174 three three CD A34005 978 175 several several JJ A34005 978 176 Triangles Triangles NNPS A34005 978 177 thus thus RB A34005 978 178 Constituted constituted JJ A34005 978 179 , , , A34005 978 180 the the DT A34005 978 181 side side NN A34005 978 182 A a DT A34005 978 183 B b NN A34005 978 184 measureth measureth NN A34005 978 185 the the DT A34005 978 186 quantity quantity NN A34005 978 187 of of IN A34005 978 188 the the DT A34005 978 189 Azimuth Azimuth NNP A34005 978 190 in in IN A34005 978 191 the the DT A34005 978 192 parralel parralel NN A34005 978 193 of of IN A34005 978 194 Altitude altitude NN A34005 978 195 , , , A34005 978 196 and and CC A34005 978 197 B B NNP A34005 978 198 C C NNP A34005 978 199 in in IN A34005 978 200 the the DT A34005 978 201 two two CD A34005 978 202 upper upper JJ A34005 978 203 Triangles Triangles NNPS A34005 978 204 is be VBZ A34005 978 205 the the DT A34005 978 206 difference difference NN A34005 978 207 of of IN A34005 978 208 the the DT A34005 978 209 sines sine NNS A34005 978 210 of of IN A34005 978 211 the the DT A34005 978 212 Suns Suns NNPS A34005 978 213 proposed propose VBN A34005 978 214 Altitude altitude NN A34005 978 215 , , , A34005 978 216 and and CC A34005 978 217 of of IN A34005 978 218 his -PRON- PRP$ A34005 978 219 Altitude altitude NN A34005 978 220 in in IN A34005 978 221 the the DT A34005 978 222 prime prime JJ A34005 978 223 Vertical vertical JJ A34005 978 224 : : : A34005 978 225 But but CC A34005 978 226 in in IN A34005 978 227 the the DT A34005 978 228 lower low JJR A34005 978 229 Triangle Triangle NNP A34005 978 230 the the DT A34005 978 231 sum sum NN A34005 978 232 of of IN A34005 978 233 them -PRON- PRP A34005 978 234 , , , A34005 978 235 it -PRON- PRP A34005 978 236 then then RB A34005 978 237 holds hold VBZ A34005 978 238 by by IN A34005 978 239 the the DT A34005 978 240 Proportion Proportion NNP A34005 978 241 of of IN A34005 978 242 the the DT A34005 978 243 sines sine NNS A34005 978 244 of of IN A34005 978 245 Angles Angles NNPS A34005 978 246 to to IN A34005 978 247 their -PRON- PRP$ A34005 978 248 opposite opposite JJ A34005 978 249 sides side NNS A34005 978 250 . . . A34005 979 1 In in IN A34005 979 2 the the DT A34005 979 3 two two CD A34005 979 4 upper upper JJ A34005 979 5 Triangles Triangles NNPS A34005 979 6 , , , A34005 979 7 As as IN A34005 979 8 the the DT A34005 979 9 Cosine Cosine NNP A34005 979 10 of of IN A34005 979 11 the the DT A34005 979 12 Latitude Latitude NNP A34005 979 13 , , , A34005 979 14 the the DT A34005 979 15 sine sine NN A34005 979 16 of of IN A34005 979 17 the the DT A34005 979 18 angle angle NN A34005 979 19 at at IN A34005 979 20 A a NN A34005 979 21 , , , A34005 979 22 To to IN A34005 979 23 its -PRON- PRP$ A34005 979 24 opposite opposite JJ A34005 979 25 side side NN A34005 979 26 B B NNP A34005 979 27 C C NNP A34005 979 28 , , , A34005 979 29 the the DT A34005 979 30 difference difference NN A34005 979 31 of of IN A34005 979 32 the the DT A34005 979 33 sines sine NNS A34005 979 34 of of IN A34005 979 35 the the DT A34005 979 36 Suns Suns NNPS A34005 979 37 Vertical Vertical NNP A34005 979 38 , , , A34005 979 39 and and CC A34005 979 40 of of IN A34005 979 41 his -PRON- PRP$ A34005 979 42 proposed propose VBN A34005 979 43 Altitude altitude NN A34005 979 44 : : : A34005 979 45 So so RB A34005 979 46 is be VBZ A34005 979 47 the the DT A34005 979 48 sine sine NN A34005 979 49 of of IN A34005 979 50 the the DT A34005 979 51 Latitude Latitude NNP A34005 979 52 , , , A34005 979 53 that that WDT A34005 979 54 is be VBZ A34005 979 55 the the DT A34005 979 56 sine sine NN A34005 979 57 of of IN A34005 979 58 the the DT A34005 979 59 angle angle NN A34005 979 60 at at IN A34005 979 61 C C NNP A34005 979 62 , , , A34005 979 63 To to IN A34005 979 64 its -PRON- PRP$ A34005 979 65 opposite opposite JJ A34005 979 66 side side NN A34005 979 67 B B NNP A34005 979 68 A a NN A34005 979 69 , , , A34005 979 70 the the DT A34005 979 71 sine sine NN A34005 979 72 of of IN A34005 979 73 the the DT A34005 979 74 Azimuth Azimuth NNP A34005 979 75 from from IN A34005 979 76 the the DT A34005 979 77 East East NNP A34005 979 78 and and CC A34005 979 79 West West NNP A34005 979 80 , , , A34005 979 81 And and CC A34005 979 82 the the DT A34005 979 83 like like JJ A34005 979 84 in in IN A34005 979 85 the the DT A34005 979 86 lower low JJR A34005 979 87 Triangle Triangle NNP A34005 979 88 , , , A34005 979 89 onely onely RB A34005 979 90 there there RB A34005 979 91 the the DT A34005 979 92 third third JJ A34005 979 93 Tearm Tearm NNP A34005 979 94 B B NNP A34005 979 95 C C NNP A34005 979 96 , , , A34005 979 97 is be VBZ A34005 979 98 the the DT A34005 979 99 sum sum NN A34005 979 100 of of IN A34005 979 101 the the DT A34005 979 102 sines sine NNS A34005 979 103 of of IN A34005 979 104 the the DT A34005 979 105 Suns Suns NNP A34005 979 106 Vertical Vertical NNP A34005 979 107 Depression Depression NNP A34005 979 108 , , , A34005 979 109 and and CC A34005 979 110 of of IN A34005 979 111 his -PRON- PRP$ A34005 979 112 given give VBN A34005 979 113 Altitude altitude NN A34005 979 114 : : : A34005 979 115 Such such JJ A34005 979 116 Proportion proportion NN A34005 979 117 as as IN A34005 979 118 as as IN A34005 979 119 the the DT A34005 979 120 Cosine Cosine NNP A34005 979 121 of of IN A34005 979 122 an an DT A34005 979 123 Ark Ark NNP A34005 979 124 doth doth NN A34005 979 125 bear bear NN A34005 979 126 to to IN A34005 979 127 the the DT A34005 979 128 sine sine NN A34005 979 129 of of IN A34005 979 130 an an DT A34005 979 131 Ark Ark NNP A34005 979 132 , , , A34005 979 133 doth doth VB A34005 979 134 the the DT A34005 979 135 Radius Radius NNP A34005 979 136 bear bear NN A34005 979 137 to to IN A34005 979 138 the the DT A34005 979 139 Tangent Tangent NNP A34005 979 140 of of IN A34005 979 141 the the DT A34005 979 142 said say VBD A34005 979 143 Ark Ark NNP A34005 979 144 , , , A34005 979 145 this this DT A34005 979 146 being be VBG A34005 979 147 the the DT A34005 979 148 Canon Canon NNP A34005 979 149 by by IN A34005 979 150 which which WDT A34005 979 151 the the DT A34005 979 152 natural natural JJ A34005 979 153 Tangents tangent NNS A34005 979 154 are be VBP A34005 979 155 made make VBN A34005 979 156 from from IN A34005 979 157 the the DT A34005 979 158 natural natural JJ A34005 979 159 sines sine NNS A34005 979 160 , , , A34005 979 161 and and CC A34005 979 162 therefore therefore RB A34005 979 163 we -PRON- PRP A34005 979 164 may may MD A34005 979 165 change change VB A34005 979 166 the the DT A34005 979 167 former former JJ A34005 979 168 Proportion proportion NN A34005 979 169 , , , A34005 979 170 and and CC A34005 979 171 instead instead RB A34005 979 172 thereof thereof RB A34005 979 173 say say VBP A34005 979 174 , , , A34005 979 175 As as IN A34005 979 176 the the DT A34005 979 177 Radius Radius NNP A34005 979 178 , , , A34005 979 179 To to IN A34005 979 180 the the DT A34005 979 181 Tangent Tangent NNP A34005 979 182 of of IN A34005 979 183 the the DT A34005 979 184 Latitude Latitude NNP A34005 979 185 : : : A34005 979 186 So so RB A34005 979 187 the the DT A34005 979 188 said say VBN A34005 979 189 sum sum NN A34005 979 190 or or CC A34005 979 191 difference difference NN A34005 979 192 of of IN A34005 979 193 Sines Sines NNP A34005 979 194 , , , A34005 979 195 To to IN A34005 979 196 the the DT A34005 979 197 Sine Sine NNP A34005 979 198 of of IN A34005 979 199 the the DT A34005 979 200 Azimuth Azimuth NNP A34005 979 201 in in IN A34005 979 202 the the DT A34005 979 203 Parralel Parralel NNP A34005 979 204 of of IN A34005 979 205 Altitude altitude NN A34005 979 206 : : : A34005 979 207 The the DT A34005 979 208 answer answer NN A34005 979 209 falling fall VBG A34005 979 210 in in IN A34005 979 211 a a DT A34005 979 212 Parralel Parralel NNP A34005 979 213 or or CC A34005 979 214 lesser less JJR A34005 979 215 Circle Circle NNP A34005 979 216 is be VBZ A34005 979 217 to to TO A34005 979 218 be be VB A34005 979 219 reduced reduce VBN A34005 979 220 to to IN A34005 979 221 the the DT A34005 979 222 common common JJ A34005 979 223 Radius Radius NNP A34005 979 224 by by IN A34005 979 225 another another DT A34005 979 226 Analogy analogy NN A34005 979 227 , , , A34005 979 228 and and CC A34005 979 229 that that DT A34005 979 230 is be VBZ A34005 979 231 As as IN A34005 979 232 the the DT A34005 979 233 Cosine Cosine NNP A34005 979 234 of of IN A34005 979 235 the the DT A34005 979 236 Altitude Altitude NNP A34005 979 237 ( ( -LRB- A34005 979 238 the the DT A34005 979 239 Radius Radius NNP A34005 979 240 of of IN A34005 979 241 the the DT A34005 979 242 parralel parralel NN A34005 979 243 ) ) -RRB- A34005 979 244 To to IN A34005 979 245 the the DT A34005 979 246 Radius radius NN A34005 979 247 : : : A34005 979 248 So so RB A34005 979 249 any any DT A34005 979 250 sine sine NN A34005 979 251 in in IN A34005 979 252 the the DT A34005 979 253 said say VBN A34005 979 254 parralel parralel NNP A34005 979 255 , , , A34005 979 256 To to IN A34005 979 257 the the DT A34005 979 258 like like JJ A34005 979 259 sine sine NN A34005 979 260 in in IN A34005 979 261 the the DT A34005 979 262 common common JJ A34005 979 263 Radius Radius NNP A34005 979 264 . . . A34005 980 1 Now now RB A34005 980 2 it -PRON- PRP A34005 980 3 is be VBZ A34005 980 4 to to TO A34005 980 5 be be VB A34005 980 6 proved prove VBN A34005 980 7 that that IN A34005 980 8 both both CC A34005 980 9 these these DT A34005 980 10 Proportions proportion NNS A34005 980 11 may may MD A34005 980 12 be be VB A34005 980 13 brought bring VBN A34005 980 14 into into IN A34005 980 15 one one CD A34005 980 16 , , , A34005 980 17 and and CC A34005 980 18 that that DT A34005 980 19 will will MD A34005 980 20 be be VB A34005 980 21 as as IN A34005 980 22 before before RB A34005 980 23 , , , A34005 980 24 by by IN A34005 980 25 making make VBG A34005 980 26 an an DT A34005 980 27 improper improper JJ A34005 980 28 Fraction Fraction NNP A34005 980 29 whose whose WP$ A34005 980 30 Numerator Numerator NNP A34005 980 31 shall shall MD A34005 980 32 be be VB A34005 980 33 the the DT A34005 980 34 Rectangle Rectangle NNP A34005 980 35 of of IN A34005 980 36 the the DT A34005 980 37 two two CD A34005 980 38 middle middle JJ A34005 980 39 Tearms Tearms NNPS A34005 980 40 of of IN A34005 980 41 the the DT A34005 980 42 former former JJ A34005 980 43 Proportion Proportion NNP A34005 980 44 , , , A34005 980 45 the the DT A34005 980 46 first first JJ A34005 980 47 Tearm Tearm NNP A34005 980 48 , , , A34005 980 49 viz viz NN A34005 980 50 . . . A34005 981 1 the the DT A34005 981 2 Radius Radius NNP A34005 981 3 being be VBG A34005 981 4 the the DT A34005 981 5 Denominator Denominator NNP A34005 981 6 , , , A34005 981 7 and and CC A34005 981 8 placing place VBG A34005 981 9 this this DT A34005 981 10 as as IN A34005 981 11 the the DT A34005 981 12 third third JJ A34005 981 13 Tearm Tearm NNP A34005 981 14 in in IN A34005 981 15 the the DT A34005 981 16 second second JJ A34005 981 17 Proportion proportion NN A34005 981 18 , , , A34005 981 19 and and CC A34005 981 20 then then RB A34005 981 21 those those DT A34005 981 22 that that WDT A34005 981 23 understand understand VBP A34005 981 24 how how WRB A34005 981 25 to to TO A34005 981 26 operate operate VB A34005 981 27 the the DT A34005 981 28 Rule Rule NNP A34005 981 29 of of IN A34005 981 30 three three CD A34005 981 31 in in IN A34005 981 32 whole whole JJ A34005 981 33 Numbers number NNS A34005 981 34 and and CC A34005 981 35 mixt mixt NN A34005 981 36 , , , A34005 981 37 will will MD A34005 981 38 find find VB A34005 981 39 their -PRON- PRP$ A34005 981 40 Divisor Divisor NNP A34005 981 41 to to TO A34005 981 42 be be VB A34005 981 43 the the DT A34005 981 44 Rectangle Rectangle NNP A34005 981 45 or or CC A34005 981 46 Product Product NNP A34005 981 47 of of IN A34005 981 48 the the DT A34005 981 49 Cosine Cosine NNP A34005 981 50 of of IN A34005 981 51 the the DT A34005 981 52 Altitude Altitude NNP A34005 981 53 , , , A34005 981 54 and and CC A34005 981 55 of of IN A34005 981 56 the the DT A34005 981 57 Radius Radius NNP A34005 981 58 , , , A34005 981 59 and and CC A34005 981 60 the the DT A34005 981 61 Dividend Dividend NNP A34005 981 62 the the DT A34005 981 63 Product Product NNP A34005 981 64 of of IN A34005 981 65 the the DT A34005 981 66 three three CD A34005 981 67 other other JJ A34005 981 68 Tearms Tearms NNPS A34005 981 69 , , , A34005 981 70 namely namely RB A34005 981 71 , , , A34005 981 72 of of IN A34005 981 73 the the DT A34005 981 74 Tangent Tangent NNP A34005 981 75 of of IN A34005 981 76 the the DT A34005 981 77 Latitude Latitude NNP A34005 981 78 , , , A34005 981 79 the the DT A34005 981 80 Radius Radius NNP A34005 981 81 , , , A34005 981 82 and and CC A34005 981 83 the the DT A34005 981 84 former former JJ A34005 981 85 sum sum NN A34005 981 86 or or CC A34005 981 87 difference difference NN A34005 981 88 of of IN A34005 981 89 sines sine NNS A34005 981 90 , , , A34005 981 91 whence whence NN A34005 981 92 it -PRON- PRP A34005 981 93 holds hold VBZ A34005 981 94 , , , A34005 981 95 As as IN A34005 981 96 the the DT A34005 981 97 Rectangle Rectangle NNP A34005 981 98 of of IN A34005 981 99 the the DT A34005 981 100 Cosine Cosine NNP A34005 981 101 of of IN A34005 981 102 the the DT A34005 981 103 Altitude Altitude NNP A34005 981 104 , , , A34005 981 105 and and CC A34005 981 106 of of IN A34005 981 107 the the DT A34005 981 108 Radius Radius NNP A34005 981 109 , , , A34005 981 110 Is be VBZ A34005 981 111 to to IN A34005 981 112 the the DT A34005 981 113 Rectangle Rectangle NNP A34005 981 114 of of IN A34005 981 115 the the DT A34005 981 116 Tangent Tangent NNP A34005 981 117 of of IN A34005 981 118 the the DT A34005 981 119 Latitude Latitude NNP A34005 981 120 , , , A34005 981 121 and and CC A34005 981 122 of of IN A34005 981 123 the the DT A34005 981 124 Radius Radius NNP A34005 981 125 : : : A34005 981 126 So so RB A34005 981 127 is be VBZ A34005 981 128 the the DT A34005 981 129 former former JJ A34005 981 130 sum sum NN A34005 981 131 or or CC A34005 981 132 difference difference NN A34005 981 133 of of IN A34005 981 134 sines sine NNS A34005 981 135 , , , A34005 981 136 To to IN A34005 981 137 the the DT A34005 981 138 sine sine NN A34005 981 139 of of IN A34005 981 140 the the DT A34005 981 141 Azimuth Azimuth NNP A34005 981 142 . . . A34005 982 1 The the DT A34005 982 2 Reader reader NN A34005 982 3 may may MD A34005 982 4 presently presently RB A34005 982 5 espy espy VB A34005 982 6 that that IN A34005 982 7 the the DT A34005 982 8 two two CD A34005 982 9 former former JJ A34005 982 10 Tearms tearm NNS A34005 982 11 of of IN A34005 982 12 this this DT A34005 982 13 Proportion proportion NN A34005 982 14 may may MD A34005 982 15 be be VB A34005 982 16 freed free VBN A34005 982 17 from from IN A34005 982 18 the the DT A34005 982 19 Radius Radius NNP A34005 982 20 by by IN A34005 982 21 dividing divide VBG A34005 982 22 them -PRON- PRP A34005 982 23 both both DT A34005 982 24 thereby thereby RB A34005 982 25 , , , A34005 982 26 and and CC A34005 982 27 the the DT A34005 982 28 Quotients Quotients NNPS A34005 982 29 will will MD A34005 982 30 be be VB A34005 982 31 the the DT A34005 982 32 Cosine Cosine NNP A34005 982 33 of of IN A34005 982 34 the the DT A34005 982 35 Altitude altitude NN A34005 982 36 , , , A34005 982 37 and and CC A34005 982 38 the the DT A34005 982 39 Tangent tangent NN A34005 982 40 of of IN A34005 982 41 the the DT A34005 982 42 Latitude Latitude NNP A34005 982 43 , , , A34005 982 44 It -PRON- PRP A34005 982 45 therefore therefore RB A34005 982 46 holds hold VBZ A34005 982 47 , , , A34005 982 48 As as IN A34005 982 49 the the DT A34005 982 50 Cosine Cosine NNP A34005 982 51 of of IN A34005 982 52 the the DT A34005 982 53 Altitude altitude NN A34005 982 54 , , , A34005 982 55 To to IN A34005 982 56 the the DT A34005 982 57 Tangent Tangent NNP A34005 982 58 of of IN A34005 982 59 the the DT A34005 982 60 Latitude Latitude NNP A34005 982 61 : : : A34005 982 62 So so CC A34005 982 63 in in IN A34005 982 64 Summer summer NN A34005 982 65 is be VBZ A34005 982 66 the the DT A34005 982 67 difference difference NN A34005 982 68 , , , A34005 982 69 in in IN A34005 982 70 Winter winter NN A34005 982 71 the the DT A34005 982 72 sum sum NN A34005 982 73 of of IN A34005 982 74 the the DT A34005 982 75 sines sine NNS A34005 982 76 of of IN A34005 982 77 the the DT A34005 982 78 Suns Suns NNPS A34005 982 79 Vertical Vertical NNP A34005 982 80 and and CC A34005 982 81 proposed propose VBN A34005 982 82 Altitude altitude NN A34005 982 83 , , , A34005 982 84 To to IN A34005 982 85 the the DT A34005 982 86 sine sine NN A34005 982 87 of of IN A34005 982 88 the the DT A34005 982 89 Azimuth Azimuth NNP A34005 982 90 from from IN A34005 982 91 the the DT A34005 982 92 Vertical Vertical NNP A34005 982 93 . . . A34005 983 1 This this DT A34005 983 2 is be VBZ A34005 983 3 general general JJ A34005 983 4 either either CC A34005 983 5 for for IN A34005 983 6 Sun Sun NNP A34005 983 7 or or CC A34005 983 8 Stars Stars NNPS A34005 983 9 , , , A34005 983 10 when when WRB A34005 983 11 their -PRON- PRP$ A34005 983 12 Declination declination NN A34005 983 13 is be VBZ A34005 983 14 less less JJR A34005 983 15 then then RB A34005 983 16 the the DT A34005 983 17 Latitude Latitude NNP A34005 983 18 of of IN A34005 983 19 the the DT A34005 983 20 place place NN A34005 983 21 ; ; : A34005 983 22 but but CC A34005 983 23 when when WRB A34005 983 24 it -PRON- PRP A34005 983 25 is be VBZ A34005 983 26 more more JJR A34005 983 27 , , , A34005 983 28 the the DT A34005 983 29 Case Case NNP A34005 983 30 doth doth JJ A34005 983 31 but but CC A34005 983 32 little little JJ A34005 983 33 vary vary NN A34005 983 34 . . . A34005 984 1 In in IN A34005 984 2 the the DT A34005 984 3 Scheme Scheme NNP A34005 984 4 annexed annexed NN A34005 984 5 fitted fit VBD A34005 984 6 to to IN A34005 984 7 the the DT A34005 984 8 Latitude Latitude NNP A34005 984 9 of of IN A34005 984 10 the the DT A34005 984 11 Barbados Barbados NNP A34005 984 12 having have VBG A34005 984 13 drawn draw VBN A34005 984 14 H h NN A34005 984 15 H h NN A34005 984 16 the the DT A34005 984 17 Horizon horizon NN A34005 984 18 , , , A34005 984 19 P p NN A34005 984 20 P p NN A34005 984 21 the the DT A34005 984 22 Axis Axis NNP A34005 984 23 , , , A34005 984 24 Ae ae RB A34005 984 25 Ae Ae NNP A34005 984 26 the the DT A34005 984 27 Equator equator NN A34005 984 28 , , , A34005 984 29 Z z NN A34005 984 30 A A NNP A34005 984 31 the the DT A34005 984 32 Vertical vertical JJ A34005 984 33 draw draw NN A34005 984 34 two two CD A34005 984 35 parralells parralell NNS A34005 984 36 of of IN A34005 984 37 Declination Declination NNP A34005 984 38 F F NNP A34005 984 39 R R NNP A34005 984 40 , , , A34005 984 41 K K NNP A34005 984 42 A A NNP A34005 984 43 continued continue VBN A34005 984 44 till till IN A34005 984 45 they -PRON- PRP A34005 984 46 intersect intersect VBP A34005 984 47 the the DT A34005 984 48 Vertical vertical JJ A34005 984 49 prolonged prolonged NN A34005 984 50 , , , A34005 984 51 draw draw VBP A34005 984 52 the the DT A34005 984 53 parralel parralel NN A34005 984 54 of of IN A34005 984 55 Altitude Altitude NNP A34005 984 56 B B NNP A34005 984 57 ☉ ☉ NNP A34005 984 58 , , , A34005 984 59 and and CC A34005 984 60 parralel parralel VB A34005 984 61 thereto thereto NN A34005 984 62 from from IN A34005 984 63 the the DT A34005 984 64 Point Point NNP A34005 984 65 A a DT A34005 984 66 draw draw NN A34005 984 67 A a NN A34005 984 68 E e NN A34005 984 69 , , , A34005 984 70 Then then RB A34005 984 71 doth doth VB A34005 984 72 the the DT A34005 984 73 latter latter JJ A34005 984 74 part part NN A34005 984 75 of of IN A34005 984 76 the the DT A34005 984 77 Proportion Proportion NNP A34005 984 78 lye lye VBP A34005 984 79 as as RB A34005 984 80 evident evident JJ A34005 984 81 as as IN A34005 984 82 before before RB A34005 984 83 , , , A34005 984 84 In in IN A34005 984 85 the the DT A34005 984 86 right right NN A34005 984 87 angled angle VBN A34005 984 88 Triangle Triangle NNP A34005 984 89 C C NNP A34005 984 90 G G NNP A34005 984 91 F F NNP A34005 984 92 right right NN A34005 984 93 angled angle VBD A34005 984 94 at at IN A34005 984 95 G G NNP A34005 984 96 , , , A34005 984 97 As as IN A34005 984 98 the the DT A34005 984 99 sine sine NN A34005 984 100 of of IN A34005 984 101 the the DT A34005 984 102 Latitude Latitude NNP A34005 984 103 the the DT A34005 984 104 angle angle NN A34005 984 105 at at IN A34005 984 106 F F NNP A34005 984 107 , , , A34005 984 108 To to IN A34005 984 109 its -PRON- PRP$ A34005 984 110 Opposite opposite JJ A34005 984 111 side side NN A34005 984 112 C c NN A34005 984 113 G g NN A34005 984 114 the the DT A34005 984 115 sine sine NN A34005 984 116 of of IN A34005 984 117 the the DT A34005 984 118 Declination Declination NNP A34005 984 119 , , , A34005 984 120 So so RB A34005 984 121 the the DT A34005 984 122 Radius Radius NNP A34005 984 123 the the DT A34005 984 124 angle angle NN A34005 984 125 at at IN A34005 984 126 G g NN A34005 984 127 , , , A34005 984 128 To to IN A34005 984 129 the the DT A34005 984 130 Secant Secant NNP A34005 984 131 C C NNP A34005 984 132 Z Z NNP A34005 984 133 F. F. NNP A34005 984 134 Again Again NNP A34005 984 135 in in IN A34005 984 136 Summer Summer NNP A34005 984 137 . . . A34005 985 1 As as IN A34005 985 2 the the DT A34005 985 3 Cosine Cosine NNP A34005 985 4 of of IN A34005 985 5 the the DT A34005 985 6 Latitude Latitude NNP A34005 985 7 the the DT A34005 985 8 angle angle NN A34005 985 9 at at IN A34005 985 10 ☉ ☉ NNP A34005 985 11 , , , A34005 985 12 To to IN A34005 985 13 its -PRON- PRP$ A34005 985 14 opposite opposite JJ A34005 985 15 side side NN A34005 985 16 D D NNP A34005 985 17 Z Z NNP A34005 985 18 F F NNP A34005 985 19 , , , A34005 985 20 the the DT A34005 985 21 difference difference NN A34005 985 22 between between IN A34005 985 23 the the DT A34005 985 24 former former JJ A34005 985 25 Secant Secant NNP A34005 985 26 and and CC A34005 985 27 the the DT A34005 985 28 sine sine NN A34005 985 29 of of IN A34005 985 30 the the DT A34005 985 31 Altitude altitude NN A34005 985 32 : : : A34005 985 33 So so RB A34005 985 34 is be VBZ A34005 985 35 the the DT A34005 985 36 sine sine NN A34005 985 37 of of IN A34005 985 38 the the DT A34005 985 39 Latitude Latitude NNP A34005 985 40 , , , A34005 985 41 the the DT A34005 985 42 angle angle NN A34005 985 43 at at IN A34005 985 44 F F NNP A34005 985 45 , , , A34005 985 46 To to IN A34005 985 47 its -PRON- PRP$ A34005 985 48 opposite opposite JJ A34005 985 49 side side NN A34005 985 50 D d NN A34005 985 51 ☉ ☉ NNS A34005 985 52 , , , A34005 985 53 the the DT A34005 985 54 sine sine NN A34005 985 55 of of IN A34005 985 56 the the DT A34005 985 57 Azimuth Azimuth NNP A34005 985 58 from from IN A34005 985 59 the the DT A34005 985 60 Vertical Vertical NNP A34005 985 61 in in IN A34005 985 62 the the DT A34005 985 63 Parralel Parralel NNP A34005 985 64 of of IN A34005 985 65 Altitude altitude NN A34005 985 66 . . . A34005 986 1 In in IN A34005 986 2 Winter Winter NNP A34005 986 3 , , , A34005 986 4 As as IN A34005 986 5 Cosine Cosine NNP A34005 986 6 Latitude Latitude NNP A34005 986 7 angle angle NN A34005 986 8 at at IN A34005 986 9 A a NN A34005 986 10 , , , A34005 986 11 To to IN A34005 986 12 B b NN A34005 986 13 E e NN A34005 986 14 the the DT A34005 986 15 sum sum NN A34005 986 16 of of IN A34005 986 17 the the DT A34005 986 18 former former JJ A34005 986 19 Secant secant NN A34005 986 20 equal equal JJ A34005 986 21 to to IN A34005 986 22 E E NNP A34005 986 23 M M NNP A34005 986 24 , , , A34005 986 25 and and CC A34005 986 26 of of IN A34005 986 27 the the DT A34005 986 28 sine sine NN A34005 986 29 of of IN A34005 986 30 the the DT A34005 986 31 Altitude Altitude NNP A34005 986 32 M M NNP A34005 986 33 B B NNP A34005 986 34 : : : A34005 986 35 So so RB A34005 986 36 is be VBZ A34005 986 37 the the DT A34005 986 38 sine sine NN A34005 986 39 of of IN A34005 986 40 the the DT A34005 986 41 Latitude Latitude NNP A34005 986 42 the the DT A34005 986 43 angle angle NN A34005 986 44 B b NN A34005 986 45 , , , A34005 986 46 To to IN A34005 986 47 A a NN A34005 986 48 E e NN A34005 986 49 , , , A34005 986 50 equal equal JJ A34005 986 51 to to IN A34005 986 52 B b NN A34005 986 53 D D NNP A34005 986 54 the the DT A34005 986 55 sine sine NN A34005 986 56 of of IN A34005 986 57 the the DT A34005 986 58 Azimuth Azimuth NNP A34005 986 59 in in IN A34005 986 60 a a DT A34005 986 61 Parallel Parallel NNP A34005 986 62 as as IN A34005 986 63 before before RB A34005 986 64 , , , A34005 986 65 to to TO A34005 986 66 be be VB A34005 986 67 reduced reduce VBN A34005 986 68 to to IN A34005 986 69 the the DT A34005 986 70 common common JJ A34005 986 71 Radius Radius NNP A34005 986 72 . . . A34005 987 1 From from IN A34005 987 2 this this DT A34005 987 3 Schem Schem NNP A34005 987 4 may may MD A34005 987 5 be be VB A34005 987 6 observed observe VBN A34005 987 7 the the DT A34005 987 8 reason reason NN A34005 987 9 why why WRB A34005 987 10 the the DT A34005 987 11 Sun Sun NNP A34005 987 12 in in IN A34005 987 13 those those DT A34005 987 14 Latitudes latitude NNS A34005 987 15 upon upon IN A34005 987 16 some some DT A34005 987 17 Azimuths azimuth NNS A34005 987 18 hath hath VBP A34005 987 19 two two CD A34005 987 20 Altitudes altitude NNS A34005 987 21 , , , A34005 987 22 because because IN A34005 987 23 the the DT A34005 987 24 Parralel Parralel NNP A34005 987 25 of of IN A34005 987 26 his -PRON- PRP$ A34005 987 27 Declination Declination NNP A34005 987 28 F F NNP A34005 987 29 R R NNP A34005 987 30 intersects intersect VBZ A34005 987 31 , , , A34005 987 32 and and CC A34005 987 33 passeth passeth VB A34005 987 34 through through IN A34005 987 35 the the DT A34005 987 36 Azimuth Azimuth NNP A34005 987 37 , , , A34005 987 38 namely namely RB A34005 987 39 , , , A34005 987 40 the the DT A34005 987 41 prickt prickt NNS A34005 987 42 Ellipsis Ellipsis NNP A34005 987 43 in in IN A34005 987 44 the the DT A34005 987 45 two two CD A34005 987 46 points point NNS A34005 987 47 S S NNP A34005 987 48 , , , A34005 987 49 ☉ ☉ NNP A34005 987 50 . . . A34005 988 1 I -PRON- PRP A34005 988 2 now now RB A34005 988 3 proceed proceed VBP A34005 988 4 to to IN A34005 988 5 the the DT A34005 988 6 Vse vse NN A34005 988 7 in in IN A34005 988 8 Calculating calculate VBG A34005 988 9 a a DT A34005 988 10 Table table NN A34005 988 11 of of IN A34005 988 12 Hours hour NNS A34005 988 13 . . . A34005 989 1 For for IN A34005 989 2 those those DT A34005 989 3 that that WDT A34005 989 4 have have VBP A34005 989 5 occasion occasion NN A34005 989 6 to to TO A34005 989 7 Calculate calculate VB A34005 989 8 a a DT A34005 989 9 Table table NN A34005 989 10 of of IN A34005 989 11 Hours hour NNS A34005 989 12 to to IN A34005 989 13 any any DT A34005 989 14 assigned assigned JJ A34005 989 15 Altitude altitude NN A34005 989 16 and and CC A34005 989 17 parralel parralel NN A34005 989 18 of of IN A34005 989 19 Declination declination NN A34005 989 20 , , , A34005 989 21 it -PRON- PRP A34005 989 22 will will MD A34005 989 23 be be VB A34005 989 24 the the DT A34005 989 25 readiest ready JJS A34005 989 26 way way NN A34005 989 27 to to TO A34005 989 28 write write VB A34005 989 29 down down RP A34005 989 30 all all PDT A34005 989 31 the the DT A34005 989 32 moveable moveable JJ A34005 989 33 Tearms tearm VBZ A34005 989 34 first first RB A34005 989 35 , , , A34005 989 36 as as IN A34005 989 37 the the DT A34005 989 38 natural natural JJ A34005 989 39 sines sine NNS A34005 989 40 of of IN A34005 989 41 the the DT A34005 989 42 several several JJ A34005 989 43 Altitudes altitude NNS A34005 989 44 in in IN A34005 989 45 a a DT A34005 989 46 ruled rule VBN A34005 989 47 sheet sheet NN A34005 989 48 of of IN A34005 989 49 Paper Paper NNP A34005 989 50 , , , A34005 989 51 and and CC A34005 989 52 then then RB A34005 989 53 upon upon IN A34005 989 54 a a DT A34005 989 55 peice peice NN A34005 989 56 of of IN A34005 989 57 Card Card NNP A34005 989 58 to to TO A34005 989 59 write write VB A34005 989 60 down down RP A34005 989 61 the the DT A34005 989 62 natural natural JJ A34005 989 63 sine sine NN A34005 989 64 of of IN A34005 989 65 the the DT A34005 989 66 Suns Suns NNPS A34005 989 67 Altitude Altitude NNP A34005 989 68 at at IN A34005 989 69 6 6 CD A34005 989 70 and and CC A34005 989 71 removing remove VBG A34005 989 72 to to IN A34005 989 73 every every DT A34005 989 74 Altitude altitude NN A34005 989 75 , , , A34005 989 76 get get VB A34005 989 77 the the DT A34005 989 78 sum sum NN A34005 989 79 or or CC A34005 989 80 difference difference NN A34005 989 81 accordingly accordingly RB A34005 989 82 , , , A34005 989 83 which which WDT A34005 989 84 being be VBG A34005 989 85 had have VBD A34005 989 86 , , , A34005 989 87 seek seek VB A34005 989 88 the the DT A34005 989 89 same same JJ A34005 989 90 in in IN A34005 989 91 the the DT A34005 989 92 natural natural JJ A34005 989 93 sines sine NNS A34005 989 94 , , , A34005 989 95 and and CC A34005 989 96 write write VB A34005 989 97 down down RP A34005 989 98 the the DT A34005 989 99 Log Log NNP A34005 989 100 m m NN A34005 989 101 that that WDT A34005 989 102 stands stand VBZ A34005 989 103 against against IN A34005 989 104 it -PRON- PRP A34005 989 105 , , , A34005 989 106 then then RB A34005 989 107 upon upon IN A34005 989 108 the the DT A34005 989 109 other other JJ A34005 989 110 end end NN A34005 989 111 of of IN A34005 989 112 the the DT A34005 989 113 piece piece NN A34005 989 114 of of IN A34005 989 115 Card Card NNP A34005 989 116 get get VB A34005 989 117 the the DT A34005 989 118 sum sum NN A34005 989 119 of of IN A34005 989 120 the the DT A34005 989 121 Arithmetical Arithmetical NNP A34005 989 122 Complements Complements NNPS A34005 989 123 of of IN A34005 989 124 the the DT A34005 989 125 Logarithmical Logarithmical NNP A34005 989 126 Cosine Cosine NNP A34005 989 127 of of IN A34005 989 128 the the DT A34005 989 129 Declination Declination NNP A34005 989 130 , , , A34005 989 131 and and CC A34005 989 132 of of IN A34005 989 133 the the DT A34005 989 134 Logarithmica Logarithmica NNP A34005 989 135 Cosine Cosine NNP A34005 989 136 of of IN A34005 989 137 the the DT A34005 989 138 Latitude Latitude NNP A34005 989 139 , , , A34005 989 140 and and CC A34005 989 141 add add VB A34005 989 142 this this DT A34005 989 143 fixed fix VBN A34005 989 144 Number number NN A34005 989 145 to to IN A34005 989 146 the the DT A34005 989 147 Logme Logme NNS A34005 989 148 before before RB A34005 989 149 wrote write VBD A34005 989 150 down down RP A34005 989 151 ; ; : A34005 989 152 by by IN A34005 989 153 removing remove VBG A34005 989 154 the the DT A34005 989 155 Card Card NNP A34005 989 156 to to IN A34005 989 157 every every DT A34005 989 158 one one CD A34005 989 159 of of IN A34005 989 160 them -PRON- PRP A34005 989 161 , , , A34005 989 162 and and CC A34005 989 163 the the DT A34005 989 164 sum sum NN A34005 989 165 is be VBZ A34005 989 166 the the DT A34005 989 167 Logme Logme NNP A34005 989 168 of of IN A34005 989 169 the the DT A34005 989 170 sine sine NN A34005 989 171 of of IN A34005 989 172 the the DT A34005 989 173 Hour Hour NNP A34005 989 174 from from IN A34005 989 175 6 6 CD A34005 989 176 , , , A34005 989 177 if if IN A34005 989 178 the the DT A34005 989 179 Logmes logme NNS A34005 989 180 be be VBP A34005 989 181 well well RB A34005 989 182 proportioned proportion VBN A34005 989 183 out out RP A34005 989 184 to to IN A34005 989 185 the the DT A34005 989 186 differences difference NNS A34005 989 187 which which WDT A34005 989 188 may may MD A34005 989 189 be be VB A34005 989 190 sufficiently sufficiently RB A34005 989 191 done do VBN A34005 989 192 by by IN A34005 989 193 guess guess NN A34005 989 194 . . . A34005 990 1 Example example NN A34005 990 2 . . . A34005 991 1 Comp Comp NNP A34005 991 2 Latitude Latitude NNP A34005 991 3 38d 38d CD A34005 991 4 28′ 28′ CD A34005 991 5 Ar Ar NNP A34005 991 6 Comp Comp NNP A34005 991 7 — — : A34005 991 8 0,2061683 0,2061683 NN A34005 991 9 Comp Comp NNP A34005 991 10 Delinat Delinat NNP A34005 991 11 66 66 CD A34005 991 12 , , , A34005 991 13 29 29 CD A34005 991 14 Ar Ar NNP A34005 991 15 Comp Comp NNP A34005 991 16 — — : A34005 991 17 0,0376572 0,0376572 NN A34005 991 18 fixed fix VBN A34005 991 19 Number number NN A34005 991 20 — — : A34005 991 21 , , , A34005 991 22 2438255 2438255 CD A34005 991 23 Let let VB A34005 991 24 the the DT A34005 991 25 Altitude altitude NN A34005 991 26 be be VB A34005 991 27 36 36 CD A34005 991 28 ● ● CD A34005 991 29 42′ 42′ CD A34005 991 30 Nat Nat NNP A34005 991 31 Sine Sine NNP A34005 991 32 5976251 5976251 CD A34005 991 33 Natural natural JJ A34005 991 34 sine sine NN A34005 991 35 Altitude Altitude NNP A34005 991 36 at at IN A34005 991 37 6 6 CD A34005 991 38 — — SYM A34005 991 39 3124174 3124174 CD A34005 991 40 difference difference NN A34005 991 41 — — : A34005 991 42 2852077 2852077 CD A34005 991 43 Log Log NNP A34005 991 44 against against IN A34005 991 45 9 9 CD A34005 991 46 4550441 4550441 CD A34005 991 47 Sine Sine NNP A34005 991 48 of of IN A34005 991 49 30d 30d NNS A34005 991 50 the the DT A34005 991 51 hour hour NN A34005 991 52 from from IN A34005 991 53 6 6 CD A34005 991 54 towards towards IN A34005 991 55 noon noon NN A34005 991 56 — — : A34005 991 57 9,6988696 9,6988696 VB A34005 991 58 Another another DT A34005 991 59 Example example NN A34005 991 60 . . . A34005 992 1 N n NN A34005 992 2 S S NNP A34005 992 3 Altitude Altitude NNP A34005 992 4 at at IN A34005 992 5 6 6 CD A34005 992 6 — — SYM A34005 992 7 3124174 3124174 CD A34005 992 8 Let let VB A34005 992 9 the the DT A34005 992 10 Altitude altitude NN A34005 992 11 be be VB A34005 992 12 13d 13d CD A34005 992 13 46′ 46′ NNP A34005 992 14 N n NN A34005 992 15 S s NN A34005 992 16 2379684 2379684 CD A34005 992 17 difference difference NN A34005 992 18 — — : A34005 992 19 744490 744490 CD A34005 992 20 Logm Logm NNP A34005 992 21 — — : A34005 992 22 8,8715646 8,8715646 NN A34005 992 23 The the DT A34005 992 24 former former JJ A34005 992 25 fixed fixed JJ A34005 992 26 Number number NN A34005 992 27 — — : A34005 992 28 0,2438255 0,2438255 NNP A34005 992 29 Sine Sine NNP A34005 992 30 of of IN A34005 992 31 7d 7d NNPS A34005 992 32 30′ 30′ CD A34005 992 33 the the DT A34005 992 34 hour hour NN A34005 992 35 from from IN A34005 992 36 6 6 CD A34005 992 37 towards towards IN A34005 992 38 midnight midnight NN A34005 992 39 because because IN A34005 992 40 the the DT A34005 992 41 Altitude altitude NN A34005 992 42 is be VBZ A34005 992 43 less less JJR A34005 992 44 then then RB A34005 992 45 the the DT A34005 992 46 Altitude Altitude NNP A34005 992 47 of of IN A34005 992 48 6 6 CD A34005 992 49 . . . A34005 993 1 9,1153901 9,1153901 NNP A34005 993 2 This this DT A34005 993 3 method method NN A34005 993 4 of of IN A34005 993 5 Calculation Calculation NNP A34005 993 6 will will MD A34005 993 7 dispatch dispatch VB A34005 993 8 much much RB A34005 993 9 faster fast RBR A34005 993 10 then then RB A34005 993 11 the the DT A34005 993 12 common common JJ A34005 993 13 Canon Canon NNP A34005 993 14 , , , A34005 993 15 when when WRB A34005 993 16 three three CD A34005 993 17 sides side NNS A34005 993 18 are be VBP A34005 993 19 given give VBN A34005 993 20 to to TO A34005 993 21 find find VB A34005 993 22 an an DT A34005 993 23 angle angle NN A34005 993 24 ; ; : A34005 993 25 the the DT A34005 993 26 Azimuth Azimuth NNP A34005 993 27 may may MD A34005 993 28 in in IN A34005 993 29 like like JJ A34005 993 30 manner manner NN A34005 993 31 be be VB A34005 993 32 Calculated calculate VBN A34005 993 33 , , , A34005 993 34 but but CC A34005 993 35 will will MD A34005 993 36 be be VB A34005 993 37 more more RBR A34005 993 38 troublesome troublesome JJ A34005 993 39 not not RB A34005 993 40 having have VBG A34005 993 41 so so RB A34005 993 42 many many JJ A34005 993 43 fixt fixt JJ A34005 993 44 Tearms tearm NNS A34005 993 45 in in IN A34005 993 46 it -PRON- PRP A34005 993 47 , , , A34005 993 48 and and CC A34005 993 49 having have VBG A34005 993 50 got get VBN A34005 993 51 the the DT A34005 993 52 hour hour NN A34005 993 53 , , , A34005 993 54 the the DT A34005 993 55 Azimuth Azimuth NNP A34005 993 56 will will MD A34005 993 57 be be VB A34005 993 58 easily easily RB A34005 993 59 found find VBN A34005 993 60 ; ; : A34005 993 61 in in IN A34005 993 62 this this DT A34005 993 63 Case Case NNP A34005 993 64 we -PRON- PRP A34005 993 65 have have VBP A34005 993 66 two two CD A34005 993 67 sides side NNS A34005 993 68 and and CC A34005 993 69 an an DT A34005 993 70 angle angle NN A34005 993 71 opposite opposite NN A34005 993 72 to to IN A34005 993 73 one one CD A34005 993 74 of of IN A34005 993 75 them -PRON- PRP A34005 993 76 given give VBN A34005 993 77 , , , A34005 993 78 to to TO A34005 993 79 find find VB A34005 993 80 the the DT A34005 993 81 angle angle NN A34005 993 82 opposite opposite RB A34005 993 83 to to IN A34005 993 84 the the DT A34005 993 85 other other JJ A34005 993 86 , , , A34005 993 87 and and CC A34005 993 88 the the DT A34005 993 89 Proportion Proportion NNP A34005 993 90 , , , A34005 993 91 will will MD A34005 993 92 hold hold VB A34005 993 93 , , , A34005 993 94 As as IN A34005 993 95 the the DT A34005 993 96 Cosine Cosine NNP A34005 993 97 of of IN A34005 993 98 the the DT A34005 993 99 Altitude altitude NN A34005 993 100 , , , A34005 993 101 To to IN A34005 993 102 the the DT A34005 993 103 sine sine NN A34005 993 104 of of IN A34005 993 105 the the DT A34005 993 106 hour hour NN A34005 993 107 from from IN A34005 993 108 the the DT A34005 993 109 Meridian Meridian NNP A34005 993 110 : : : A34005 993 111 So so CC A34005 993 112 the the DT A34005 993 113 Cosine Cosine NNP A34005 993 114 of of IN A34005 993 115 the the DT A34005 993 116 Declination Declination NNP A34005 993 117 , , , A34005 993 118 To to IN A34005 993 119 the the DT A34005 993 120 sine sine NN A34005 993 121 of of IN A34005 993 122 the the DT A34005 993 123 Azimuth Azimuth NNP A34005 993 124 from from IN A34005 993 125 the the DT A34005 993 126 Meridian Meridian NNP A34005 993 127 . . . A34005 994 1 And and CC A34005 994 2 in in IN A34005 994 3 this this DT A34005 994 4 Case case NN A34005 994 5 the the DT A34005 994 6 three three CD A34005 994 7 sides side NNS A34005 994 8 being be VBG A34005 994 9 given give VBN A34005 994 10 , , , A34005 994 11 we -PRON- PRP A34005 994 12 may may MD A34005 994 13 determine determine VB A34005 994 14 the the DT A34005 994 15 affection affection NN A34005 994 16 of of IN A34005 994 17 any any DT A34005 994 18 of of IN A34005 994 19 the the DT A34005 994 20 angles angle NNS A34005 994 21 . . . A34005 995 1 If if IN A34005 995 2 the the DT A34005 995 3 Sun Sun NNP A34005 995 4 , , , A34005 995 5 or or CC A34005 995 6 Stars Stars NNPS A34005 995 7 have have VBP A34005 995 8 declination declination NN A34005 995 9 towards towards IN A34005 995 10 the the DT A34005 995 11 depressed depress VBN A34005 995 12 Pole Pole NNP A34005 995 13 , , , A34005 995 14 the the DT A34005 995 15 Azimuth Azimuth NNP A34005 995 16 is be VBZ A34005 995 17 always always RB A34005 995 18 Obtuse Obtuse NNP A34005 995 19 , , , A34005 995 20 and and CC A34005 995 21 the the DT A34005 995 22 hour hour NN A34005 995 23 and and CC A34005 995 24 angle angle NN A34005 995 25 of of IN A34005 995 26 position position NN A34005 995 27 - - HYPH A34005 995 28 Acute acute JJ A34005 995 29 . . . A34005 996 1 If if IN A34005 996 2 the the DT A34005 996 3 Sun Sun NNP A34005 996 4 , , , A34005 996 5 & & CC A34005 996 6 c. c. NNP A34005 996 7 have have VBP A34005 996 8 declination declination NN A34005 996 9 towards towards IN A34005 996 10 the the DT A34005 996 11 Elevated Elevated NNP A34005 996 12 Pole Pole NNP A34005 996 13 , , , A34005 996 14 but but CC A34005 996 15 less less JJR A34005 996 16 then then RB A34005 996 17 the the DT A34005 996 18 Latitude Latitude NNP A34005 996 19 of of IN A34005 996 20 the the DT A34005 996 21 place place NN A34005 996 22 the the DT A34005 996 23 angle angle NN A34005 996 24 of of IN A34005 996 25 Position position NN A34005 996 26 is be VBZ A34005 996 27 always always RB A34005 996 28 acute acute JJ A34005 996 29 , , , A34005 996 30 the the DT A34005 996 31 hour hour NN A34005 996 32 before before IN A34005 996 33 6 6 CD A34005 996 34 obtuse obtuse NN A34005 996 35 , , , A34005 996 36 the the DT A34005 996 37 hour hour NN A34005 996 38 and and CC A34005 996 39 Azimuth Azimuth NNP A34005 996 40 between between IN A34005 996 41 the the DT A34005 996 42 Altitude Altitude NNP A34005 996 43 of of IN A34005 996 44 6 6 CD A34005 996 45 , , , A34005 996 46 and and CC A34005 996 47 the the DT A34005 996 48 Vertical Vertical NNP A34005 996 49 Altitude Altitude NNP A34005 996 50 both both CC A34005 996 51 acute acute JJ A34005 996 52 , , , A34005 996 53 afterwards afterwards RB A34005 996 54 the the DT A34005 996 55 hour hour NN A34005 996 56 acute acute NN A34005 996 57 , , , A34005 996 58 and and CC A34005 996 59 the the DT A34005 996 60 Azimuth Azimuth NNP A34005 996 61 obtuse obtuse NN A34005 996 62 . . . A34005 997 1 But but CC A34005 997 2 when when WRB A34005 997 3 the the DT A34005 997 4 Sun Sun NNP A34005 997 5 or or CC A34005 997 6 Stars Stars NNPS A34005 997 7 come come VBP A34005 997 8 to to IN A34005 997 9 the the DT A34005 997 10 Meridian Meridian NNP A34005 997 11 between between IN A34005 997 12 the the DT A34005 997 13 Zenith Zenith NNP A34005 997 14 and and CC A34005 997 15 the the DT A34005 997 16 Elevated Elevated NNP A34005 997 17 Pole Pole NNP A34005 997 18 , , , A34005 997 19 as as IN A34005 997 20 when when WRB A34005 997 21 their -PRON- PRP$ A34005 997 22 declination declination NN A34005 997 23 is be VBZ A34005 997 24 greater great JJR A34005 997 25 then then RB A34005 997 26 the the DT A34005 997 27 Latitude Latitude NNP A34005 997 28 of of IN A34005 997 29 the the DT A34005 997 30 place place NN A34005 997 31 , , , A34005 997 32 the the DT A34005 997 33 Azimuth Azimuth NNP A34005 997 34 is be VBZ A34005 997 35 always always RB A34005 997 36 acute acute JJ A34005 997 37 , , , A34005 997 38 the the DT A34005 997 39 hour hour NN A34005 997 40 before before IN A34005 997 41 6 6 CD A34005 997 42 obtuse obtuse NN A34005 997 43 , , , A34005 997 44 afterwards afterwards RB A34005 997 45 acute acute JJ A34005 997 46 . . . A34005 998 1 The the DT A34005 998 2 angle angle NN A34005 998 3 of of IN A34005 998 4 position position NN A34005 998 5 from from IN A34005 998 6 the the DT A34005 998 7 time time NN A34005 998 8 of of IN A34005 998 9 rising rise VBG A34005 998 10 to to IN A34005 998 11 the the DT A34005 998 12 remotest remotest NN A34005 998 13 Azimuth Azimuth NNP A34005 998 14 from from IN A34005 998 15 the the DT A34005 998 16 Meridian Meridian NNP A34005 998 17 is be VBZ A34005 998 18 acute acute JJ A34005 998 19 , , , A34005 998 20 afterwards afterwards RB A34005 998 21 obtuse obtuse NN A34005 998 22 . . . A34005 999 1 Another another DT A34005 999 2 General General NNP A34005 999 3 Proportion Proportion NNP A34005 999 4 for for IN A34005 999 5 the the DT A34005 999 6 Hour Hour NNP A34005 999 7 . . . A34005 1000 1 As as IN A34005 1000 2 the the DT A34005 1000 3 Radius Radius NNP A34005 1000 4 , , , A34005 1000 5 To to IN A34005 1000 6 the the DT A34005 1000 7 Tangent Tangent NNP A34005 1000 8 of of IN A34005 1000 9 the the DT A34005 1000 10 Latitude Latitude NNP A34005 1000 11 : : : A34005 1000 12 So so CC A34005 1000 13 the the DT A34005 1000 14 Tangent tangent NN A34005 1000 15 of of IN A34005 1000 16 the the DT A34005 1000 17 Suns Suns NNPS A34005 1000 18 declination declination NN A34005 1000 19 , , , A34005 1000 20 To to IN A34005 1000 21 the the DT A34005 1000 22 sine sine NN A34005 1000 23 of of IN A34005 1000 24 the the DT A34005 1000 25 hour hour NN A34005 1000 26 of of IN A34005 1000 27 rising rise VBG A34005 1000 28 from from IN A34005 1000 29 six six CD A34005 1000 30 : : : A34005 1000 31 Again again RB A34005 1000 32 . . . A34005 1001 1 To to IN A34005 1001 2 the the DT A34005 1001 3 Rectangle Rectangle NNP A34005 1001 4 of of IN A34005 1001 5 the the DT A34005 1001 6 Cosine Cosine NNP A34005 1001 7 of of IN A34005 1001 8 the the DT A34005 1001 9 Latitude Latitude NNP A34005 1001 10 , , , A34005 1001 11 and and CC A34005 1001 12 of of IN A34005 1001 13 the the DT A34005 1001 14 Cosine Cosine NNP A34005 1001 15 of of IN A34005 1001 16 the the DT A34005 1001 17 declination declination NN A34005 1001 18 , , , A34005 1001 19 Is be VBZ A34005 1001 20 to to IN A34005 1001 21 the the DT A34005 1001 22 Square Square NNP A34005 1001 23 of of IN A34005 1001 24 the the DT A34005 1001 25 Radius radius NN A34005 1001 26 : : : A34005 1001 27 So so RB A34005 1001 28 is be VBZ A34005 1001 29 the the DT A34005 1001 30 sine sine NN A34005 1001 31 of of IN A34005 1001 32 the the DT A34005 1001 33 Altitude Altitude NNP A34005 1001 34 , , , A34005 1001 35 To to IN A34005 1001 36 the the DT A34005 1001 37 difference difference NN A34005 1001 38 of of IN A34005 1001 39 the the DT A34005 1001 40 Versed versed JJ A34005 1001 41 sines sine NNS A34005 1001 42 of of IN A34005 1001 43 the the DT A34005 1001 44 Semidiurnal Semidiurnal NNP A34005 1001 45 Ark Ark NNP A34005 1001 46 , , , A34005 1001 47 and and CC A34005 1001 48 of of IN A34005 1001 49 the the DT A34005 1001 50 hour hour NN A34005 1001 51 sought seek VBD A34005 1001 52 . . . A34005 1002 1 Having have VBG A34005 1002 2 got get VBN A34005 1002 3 the the DT A34005 1002 4 Logarithm Logarithm NNP A34005 1002 5 of of IN A34005 1002 6 this this DT A34005 1002 7 difference difference NN A34005 1002 8 , , , A34005 1002 9 take take VB A34005 1002 10 the the DT A34005 1002 11 natural natural JJ A34005 1002 12 number number NN A34005 1002 13 out out IN A34005 1002 14 of of IN A34005 1002 15 the the DT A34005 1002 16 Sines Sines NNPS A34005 1002 17 or or CC A34005 1002 18 Tangents Tangents NNPS A34005 1002 19 that that WDT A34005 1002 20 stands stand VBZ A34005 1002 21 against against IN A34005 1002 22 it -PRON- PRP A34005 1002 23 , , , A34005 1002 24 accordingly accordingly RB A34005 1002 25 as as IN A34005 1002 26 the the DT A34005 1002 27 Logme Logme NNP A34005 1002 28 is be VBZ A34005 1002 29 sought seek VBN A34005 1002 30 , , , A34005 1002 31 and and CC A34005 1002 32 in in IN A34005 1002 33 Winter Winter NNP A34005 1002 34 add add VB A34005 1002 35 it -PRON- PRP A34005 1002 36 to to IN A34005 1002 37 the the DT A34005 1002 38 natural natural JJ A34005 1002 39 sine sine NN A34005 1002 40 of of IN A34005 1002 41 the the DT A34005 1002 42 hour hour NN A34005 1002 43 of of IN A34005 1002 44 rising rise VBG A34005 1002 45 from from IN A34005 1002 46 6 6 CD A34005 1002 47 , , , A34005 1002 48 the the DT A34005 1002 49 sum sum NN A34005 1002 50 is be VBZ A34005 1002 51 the the DT A34005 1002 52 natural natural JJ A34005 1002 53 sine sine NN A34005 1002 54 of of IN A34005 1002 55 the the DT A34005 1002 56 hour hour NN A34005 1002 57 from from IN A34005 1002 58 6 6 CD A34005 1002 59 towards towards IN A34005 1002 60 noon noon NN A34005 1002 61 . . . A34005 1003 1 In in IN A34005 1003 2 Summer summer NN A34005 1003 3 get get VBP A34005 1003 4 the the DT A34005 1003 5 difference difference NN A34005 1003 6 between between IN A34005 1003 7 this this DT A34005 1003 8 fourth fourth JJ A34005 1003 9 and and CC A34005 1003 10 the the DT A34005 1003 11 sine sine NN A34005 1003 12 of of IN A34005 1003 13 rising rise VBG A34005 1003 14 from from IN A34005 1003 15 6 6 CD A34005 1003 16 , , , A34005 1003 17 the the DT A34005 1003 18 said say VBN A34005 1003 19 difference difference NN A34005 1003 20 is be VBZ A34005 1003 21 the the DT A34005 1003 22 natural natural JJ A34005 1003 23 sine sine NN A34005 1003 24 of of IN A34005 1003 25 the the DT A34005 1003 26 hour hour NN A34005 1003 27 from from IN A34005 1003 28 6 6 CD A34005 1003 29 towards towards IN A34005 1003 30 noon noon NN A34005 1003 31 , , , A34005 1003 32 when when WRB A34005 1003 33 the the DT A34005 1003 34 Number Number NNP A34005 1003 35 found find VBN A34005 1003 36 by by IN A34005 1003 37 the the DT A34005 1003 38 Proportion Proportion NNP A34005 1003 39 is be VBZ A34005 1003 40 greater great JJR A34005 1003 41 then then RB A34005 1003 42 the the DT A34005 1003 43 sine sine NN A34005 1003 44 of of IN A34005 1003 45 rising rise VBG A34005 1003 46 , , , A34005 1003 47 towards towards IN A34005 1003 48 midnight midnight NN A34005 1003 49 when when WRB A34005 1003 50 less less JJR A34005 1003 51 . . . A34005 1004 1 The the DT A34005 1004 2 Canon Canon NNP A34005 1004 3 is be VBZ A34005 1004 4 the the DT A34005 1004 5 same same JJ A34005 1004 6 without without IN A34005 1004 7 Variation Variation NNP A34005 1004 8 as as RB A34005 1004 9 well well RB A34005 1004 10 for for IN A34005 1004 11 South South NNP A34005 1004 12 declinations declination NNS A34005 1004 13 as as IN A34005 1004 14 for for IN A34005 1004 15 North North NNP A34005 1004 16 , , , A34005 1004 17 and and CC A34005 1004 18 therefore therefore RB A34005 1004 19 we -PRON- PRP A34005 1004 20 may may MD A34005 1004 21 by by IN A34005 1004 22 help help NN A34005 1004 23 thereof thereof RB A34005 1004 24 find find VB A34005 1004 25 two two CD A34005 1004 26 hours hour NNS A34005 1004 27 to to IN A34005 1004 28 the the DT A34005 1004 29 same same JJ A34005 1004 30 Altitude altitude NN A34005 1004 31 . . . A34005 1005 1 Example example NN A34005 1005 2 . . . A34005 1006 1 Comp Comp NNP A34005 1006 2 Lat Lat NNP A34005 1006 3 38d 38d CD A34005 1006 4 28′ 28′ CD A34005 1006 5 Ar Ar NNP A34005 1006 6 Comp Comp NNP A34005 1006 7 Sine Sine NNP A34005 1006 8 — — : A34005 1006 9 , , , A34005 1006 10 2061683 2061683 CD A34005 1006 11 Comp Comp NNP A34005 1006 12 declin declin NN A34005 1006 13 77d 77d NNS A34005 1006 14 Ar Ar NNP A34005 1006 15 Comp Comp NNP A34005 1006 16 — — : A34005 1006 17 , , , A34005 1006 18 0112761 0112761 CD A34005 1006 19 fixed fix VBN A34005 1006 20 number number NN A34005 1006 21 — — : A34005 1006 22 , , , A34005 1006 23 2174444 2174444 CD A34005 1006 24 Let let VB A34005 1006 25 the the DT A34005 1006 26 Altitude altitude NN A34005 1006 27 be be VB A34005 1006 28 14d 14d NNS A34005 1006 29 38′ 38′ CD A34005 1006 30 Sine sine JJ A34005 1006 31 — — : A34005 1006 32 9,4024889 9,4024889 NNP A34005 1006 33 Natural natural JJ A34005 1006 34 sine sine NN A34005 1006 35 against against IN A34005 1006 36 it -PRON- PRP A34005 1006 37 — — : A34005 1006 38 41660 41660 CD A34005 1006 39 , , , A34005 1006 40 00 00 CD A34005 1006 41 — — : A34005 1006 42 9,6199333 9,6199333 NNP A34005 1006 43 Nat Nat NNP A34005 1006 44 sine sine NN A34005 1006 45 of of IN A34005 1006 46 rising rise VBG A34005 1006 47 from from IN A34005 1006 48 6 6 CD A34005 1006 49 — — SYM A34005 1006 50 29058 29058 CD A34005 1006 51 , , , A34005 1006 52 79 79 CD A34005 1006 53 Sum Sum NNP A34005 1006 54 — — : A34005 1006 55 70718 70718 CD A34005 1006 56 , , , A34005 1006 57 79 79 CD A34005 1006 58 N n CC A34005 1006 59 sine sine NN A34005 1006 60 of of IN A34005 1006 61 45d 45d NNS A34005 1006 62 the the DT A34005 1006 63 hour hour NN A34005 1006 64 from from IN A34005 1006 65 six six CD A34005 1006 66 in in IN A34005 1006 67 Winter Winter NNP A34005 1006 68 . . . A34005 1007 1 Difference difference NN A34005 1007 2 — — : A34005 1007 3 12601 12601 CD A34005 1007 4 , , , A34005 1007 5 21 21 CD A34005 1007 6 Sine Sine NNP A34005 1007 7 of of IN A34005 1007 8 7d 7d NNPS A34005 1007 9 14′ 14′ CD A34005 1007 10 the the DT A34005 1007 11 hour hour NN A34005 1007 12 from from IN A34005 1007 13 6 6 CD A34005 1007 14 in in IN A34005 1007 15 Summer summer NN A34005 1007 16 towards towards IN A34005 1007 17 noon noon NN A34005 1007 18 to to IN A34005 1007 19 the the DT A34005 1007 20 former former JJ A34005 1007 21 Altitude altitude NN A34005 1007 22 , , , A34005 1007 23 and and CC A34005 1007 24 like like IN A34005 1007 25 declination declination NN A34005 1007 26 towards towards IN A34005 1007 27 Elevated Elevated NNP A34005 1007 28 Pole Pole NNP A34005 1007 29 . . . A34005 1008 1 Another another DT A34005 1008 2 Example example NN A34005 1008 3 for for IN A34005 1008 4 the the DT A34005 1008 5 same same JJ A34005 1008 6 Latitude Latitude NNP A34005 1008 7 and and CC A34005 1008 8 Declination Declination NNP A34005 1008 9 . . . A34005 1009 1 Logme Logme NNS A34005 1009 2 Let let VBP A34005 1009 3 the the DT A34005 1009 4 Altitude altitude NN A34005 1009 5 be be VB A34005 1009 6 20d 20d NNS A34005 1009 7 25′ 25′ CD A34005 1009 8 Sine sine JJ A34005 1009 9 — — : A34005 1009 10 9,5426321 9,5426321 VB A34005 1009 11 The the DT A34005 1009 12 former former JJ A34005 1009 13 fixed fix VBN A34005 1009 14 Logme Logme NNS A34005 1009 15 — — : A34005 1009 16 2174444 2174444 CD A34005 1009 17 Natural natural JJ A34005 1009 18 sine sine NN A34005 1009 19 against against IN A34005 1009 20 it -PRON- PRP A34005 1009 21 — — : A34005 1009 22 5754811 5754811 CD A34005 1009 23 Sum Sum NNP A34005 1009 24 — — : A34005 1009 25 9,7600765 9,7600765 NNP A34005 1009 26 Natural natural JJ A34005 1009 27 sine sine NN A34005 1009 28 of of IN A34005 1009 29 rising rise VBG A34005 1009 30 — — : A34005 1009 31 2905879 2905879 CD A34005 1009 32 Sum Sum NNP A34005 1009 33 — — : A34005 1009 34 9,7600765 9,7600765 NNP A34005 1009 35 Sum Sum NNP A34005 1009 36 — — : A34005 1009 37 8660690 8660690 CD A34005 1009 38 sine sine NN A34005 1009 39 60d 60d NNPS A34005 1009 40 the the DT A34005 1009 41 ho ho NNP A34005 1009 42 from from IN A34005 1009 43 6 6 CD A34005 1009 44 in in IN A34005 1009 45 Wint Wint NNP A34005 1009 46 Difference Difference NNP A34005 1009 47 — — : A34005 1009 48 2848932 2848932 CD A34005 1009 49 sine sine NN A34005 1009 50 16d 16d NNPS A34005 1009 51 33′ 33′ CD A34005 1009 52 the the DT A34005 1009 53 hour hour NN A34005 1009 54 from from IN A34005 1009 55 6 6 CD A34005 1009 56 in in IN A34005 1009 57 Summer summer NN A34005 1009 58 towards towards IN A34005 1009 59 noon noon NN A34005 1009 60 ; ; : A34005 1009 61 And and CC A34005 1009 62 thus thus RB A34005 1009 63 may may MD A34005 1009 64 two two CD A34005 1009 65 hours hour NNS A34005 1009 66 be be VB A34005 1009 67 found find VBN A34005 1009 68 at at IN A34005 1009 69 one one CD A34005 1009 70 operation operation NN A34005 1009 71 for for IN A34005 1009 72 all all DT A34005 1009 73 Altitudes altitude NNS A34005 1009 74 less less RBR A34005 1009 75 then then RB A34005 1009 76 the the DT A34005 1009 77 Winter Winter NNP A34005 1009 78 Meridian Meridian NNP A34005 1009 79 Altitude Altitude NNP A34005 1009 80 , , , A34005 1009 81 to to TO A34005 1009 82 be be VB A34005 1009 83 converted convert VBN A34005 1009 84 into into IN A34005 1009 85 usual usual JJ A34005 1009 86 Time time NN A34005 1009 87 by by IN A34005 1009 88 allowing allow VBG A34005 1009 89 15d 15d NNS A34005 1009 90 to to IN A34005 1009 91 an an DT A34005 1009 92 hour hour NN A34005 1009 93 , , , A34005 1009 94 and and CC A34005 1009 95 4 4 CD A34005 1009 96 ● ● CD A34005 1009 97 to to IN A34005 1009 98 a a DT A34005 1009 99 degree degree NN A34005 1009 100 . . . A34005 1010 1 To to TO A34005 1010 2 Calculate calculate VB A34005 1010 3 a a DT A34005 1010 4 Table table NN A34005 1010 5 of of IN A34005 1010 6 the the DT A34005 1010 7 Suns Suns NNPS A34005 1010 8 Altitudes Altitudes NNPS A34005 1010 9 on on IN A34005 1010 10 all all DT A34005 1010 11 Hours hour NNS A34005 1010 12 . . . A34005 1011 1 As as IN A34005 1011 2 the the DT A34005 1011 3 Secant secant NN A34005 1011 4 of of IN A34005 1011 5 the the DT A34005 1011 6 Latitude Latitude NNP A34005 1011 7 , , , A34005 1011 8 To to IN A34005 1011 9 the the DT A34005 1011 10 Cosine Cosine NNP A34005 1011 11 of of IN A34005 1011 12 the the DT A34005 1011 13 Declination declination NN A34005 1011 14 , , , A34005 1011 15 Or or CC A34005 1011 16 which which WDT A34005 1011 17 is be VBZ A34005 1011 18 all all DT A34005 1011 19 one one CD A34005 1011 20 , , , A34005 1011 21 As as IN A34005 1011 22 the the DT A34005 1011 23 Square Square NNP A34005 1011 24 of of IN A34005 1011 25 the the DT A34005 1011 26 Radius radius NN A34005 1011 27 : : : A34005 1011 28 To to IN A34005 1011 29 the the DT A34005 1011 30 Rectangle Rectangle NNP A34005 1011 31 of of IN A34005 1011 32 the the DT A34005 1011 33 Cosines Cosines NNPS A34005 1011 34 , , , A34005 1011 35 both both DT A34005 1011 36 of of IN A34005 1011 37 the the DT A34005 1011 38 Latitude Latitude NNP A34005 1011 39 and and CC A34005 1011 40 of of IN A34005 1011 41 the the DT A34005 1011 42 Declination Declination NNP A34005 1011 43 : : : A34005 1011 44 So so RB A34005 1011 45 is be VBZ A34005 1011 46 the the DT A34005 1011 47 sine sine NN A34005 1011 48 of of IN A34005 1011 49 the the DT A34005 1011 50 hour hour NN A34005 1011 51 from from IN A34005 1011 52 6 6 CD A34005 1011 53 . . . A34005 1012 1 To to IN A34005 1012 2 a a DT A34005 1012 3 fourth fourth JJ A34005 1012 4 , , , A34005 1012 5 namely namely RB A34005 1012 6 , , , A34005 1012 7 in in IN A34005 1012 8 Summer summer NN A34005 1012 9 the the DT A34005 1012 10 difference difference NN A34005 1012 11 of of IN A34005 1012 12 the the DT A34005 1012 13 sines sine NNS A34005 1012 14 of of IN A34005 1012 15 the the DT A34005 1012 16 Suns Suns NNPS A34005 1012 17 Altitude Altitude NNP A34005 1012 18 at at IN A34005 1012 19 6 6 CD A34005 1012 20 , , , A34005 1012 21 and and CC A34005 1012 22 of of IN A34005 1012 23 the the DT A34005 1012 24 Altitude altitude NN A34005 1012 25 sought seek VBD A34005 1012 26 , , , A34005 1012 27 in in IN A34005 1012 28 Winter Winter NNP A34005 1012 29 the the DT A34005 1012 30 sum sum NN A34005 1012 31 of of IN A34005 1012 32 the the DT A34005 1012 33 sines sine NNS A34005 1012 34 of of IN A34005 1012 35 the the DT A34005 1012 36 Suns Suns NNP A34005 1012 37 Depression Depression NNP A34005 1012 38 at at IN A34005 1012 39 6 6 CD A34005 1012 40 , , , A34005 1012 41 and and CC A34005 1012 42 of of IN A34005 1012 43 the the DT A34005 1012 44 Altitude altitude NN A34005 1012 45 sought seek VBD A34005 1012 46 . . . A34005 1013 1 Having have VBG A34005 1013 2 wrote write VBD A34005 1013 3 down down IN A34005 1013 4 the the DT A34005 1013 5 Logarithmical logarithmical JJ A34005 1013 6 sines sine NNS A34005 1013 7 of of IN A34005 1013 8 the the DT A34005 1013 9 hour hour NN A34005 1013 10 from from IN A34005 1013 11 6 6 CD A34005 1013 12 on on IN A34005 1013 13 the the DT A34005 1013 14 Paper Paper NNP A34005 1013 15 , , , A34005 1013 16 at at IN A34005 1013 17 one one CD A34005 1013 18 end end NN A34005 1013 19 of of IN A34005 1013 20 a a DT A34005 1013 21 piece piece NN A34005 1013 22 of of IN A34005 1013 23 Card Card NNP A34005 1013 24 may may MD A34005 1013 25 be be VB A34005 1013 26 wrote write VBN A34005 1013 27 down down IN A34005 1013 28 the the DT A34005 1013 29 sum sum NN A34005 1013 30 of of IN A34005 1013 31 the the DT A34005 1013 32 Logarithmical Logarithmical NNP A34005 1013 33 Cosines Cosines NNPS A34005 1013 34 of of IN A34005 1013 35 the the DT A34005 1013 36 Latitude Latitude NNP A34005 1013 37 and and CC A34005 1013 38 Declination Declination NNP A34005 1013 39 , , , A34005 1013 40 and and CC A34005 1013 41 add add VB A34005 1013 42 the the DT A34005 1013 43 same same JJ A34005 1013 44 to to IN A34005 1013 45 the the DT A34005 1013 46 sine sine NN A34005 1013 47 of of IN A34005 1013 48 the the DT A34005 1013 49 hour hour NN A34005 1013 50 rejecting reject VBG A34005 1013 51 the the DT A34005 1013 52 double double JJ A34005 1013 53 Radius Radius NNP A34005 1013 54 , , , A34005 1013 55 and and CC A34005 1013 56 take take VB A34005 1013 57 the the DT A34005 1013 58 natural natural JJ A34005 1013 59 sine sine NN A34005 1013 60 that that WDT A34005 1013 61 stands stand VBZ A34005 1013 62 against against IN A34005 1013 63 the the DT A34005 1013 64 sum sum NN A34005 1013 65 sought seek VBN A34005 1013 66 in in IN A34005 1013 67 the the DT A34005 1013 68 Logarithmical Logarithmical NNP A34005 1013 69 sines sine NNS A34005 1013 70 ; ; : A34005 1013 71 having have VBG A34005 1013 72 this this DT A34005 1013 73 natural natural JJ A34005 1013 74 sine sine NN A34005 1013 75 , , , A34005 1013 76 get get VBP A34005 1013 77 the the DT A34005 1013 78 sum sum NN A34005 1013 79 and and CC A34005 1013 80 difference difference NN A34005 1013 81 of of IN A34005 1013 82 it -PRON- PRP A34005 1013 83 , , , A34005 1013 84 and and CC A34005 1013 85 of of IN A34005 1013 86 the the DT A34005 1013 87 natural natural JJ A34005 1013 88 of of IN A34005 1013 89 the the DT A34005 1013 90 Suns Suns NNPS A34005 1013 91 Altitude Altitude NNP A34005 1013 92 at at IN A34005 1013 93 6 6 CD A34005 1013 94 , , , A34005 1013 95 the the DT A34005 1013 96 sum sum NN A34005 1013 97 is be VBZ A34005 1013 98 the the DT A34005 1013 99 natural natural JJ A34005 1013 100 sine sine NN A34005 1013 101 of of IN A34005 1013 102 the the DT A34005 1013 103 Altitude Altitude NNP A34005 1013 104 for for IN A34005 1013 105 Summer summer NN A34005 1013 106 declinations declination NNS A34005 1013 107 , , , A34005 1013 108 and and CC A34005 1013 109 the the DT A34005 1013 110 difference difference NN A34005 1013 111 for for IN A34005 1013 112 Winter Winter NNP A34005 1013 113 Declinations Declinations NNPS A34005 1013 114 when when WRB A34005 1013 115 the the DT A34005 1013 116 sine sine NN A34005 1013 117 of of IN A34005 1013 118 the the DT A34005 1013 119 Suns Suns NNP A34005 1013 120 Altitude Altitude NNP A34005 1013 121 is be VBZ A34005 1013 122 the the DT A34005 1013 123 lesser less JJR A34005 1013 124 : : : A34005 1013 125 But but CC A34005 1013 126 when when WRB A34005 1013 127 it -PRON- PRP A34005 1013 128 is be VBZ A34005 1013 129 the the DT A34005 1013 130 greater great JJR A34005 1013 131 , , , A34005 1013 132 the the DT A34005 1013 133 said say VBN A34005 1013 134 difference difference NN A34005 1013 135 is be VBZ A34005 1013 136 the the DT A34005 1013 137 natural natural JJ A34005 1013 138 sine sine NN A34005 1013 139 of of IN A34005 1013 140 the the DT A34005 1013 141 Altitude Altitude NNP A34005 1013 142 for for IN A34005 1013 143 hours hour NNS A34005 1013 144 beyond beyond IN A34005 1013 145 6 6 CD A34005 1013 146 towards towards IN A34005 1013 147 midnight midnight NN A34005 1013 148 . . . A34005 1014 1 Example example NN A34005 1014 2 . . . A34005 1015 1 Log Log NNP A34005 1015 2 m m NNP A34005 1015 3 Complement Complement NNP A34005 1015 4 Latitude Latitude NNP A34005 1015 5 38d 38d POS A34005 1015 6 28′ 28′ CD A34005 1015 7 Sine sine JJ A34005 1015 8 — — : A34005 1015 9 9,7938317 9,7938317 NNP A34005 1015 10 Compl Compl NNP A34005 1015 11 Declination Declination NNP A34005 1015 12 66 66 CD A34005 1015 13 29 29 CD A34005 1015 14 Sine Sine NNP A34005 1015 15 — — : A34005 1015 16 9,9623428 9,9623428 NNP A34005 1015 17 fixed fix VBN A34005 1015 18 Logme Logme NNS A34005 1015 19 — — : A34005 1015 20 19,7561745 19,7561745 NNP A34005 1015 21 Let let VB A34005 1015 22 the the DT A34005 1015 23 hour hour NN A34005 1015 24 be be VB A34005 1015 25 30d 30d NNS A34005 1015 26 that that WDT A34005 1015 27 is is RB A34005 1015 28 2 2 CD A34005 1015 29 hours hour NNS A34005 1015 30 before before RB A34005 1015 31 and and CC A34005 1015 32 after after IN A34005 1015 33 six six CD A34005 1015 34 in in IN A34005 1015 35 Summer summer NN A34005 1015 36 sine sine NN A34005 1015 37 9,6989700 9,6989700 NNP A34005 1015 38 Sum Sum NNP A34005 1015 39 — — : A34005 1015 40 9,4551445 9,4551445 NNP A34005 1015 41 Natural Natural NNP A34005 1015 42 sine sine NN A34005 1015 43 against against IN A34005 1015 44 it -PRON- PRP A34005 1015 45 — — : A34005 1015 46 2851308 2851308 CD A34005 1015 47 Nat Nat NNP A34005 1015 48 sine sine NN A34005 1015 49 of of IN A34005 1015 50 the the DT A34005 1015 51 Altitude Altitude NNP A34005 1015 52 at at IN A34005 1015 53 6 6 CD A34005 1015 54 — — SYM A34005 1015 55 3124174 3124174 CD A34005 1015 56 Sum Sum NNP A34005 1015 57 — — : A34005 1015 58 5975482 5975482 CD A34005 1015 59 Sine Sine NNP A34005 1015 60 of of IN A34005 1015 61 36d 36d NNS A34005 1015 62 42′ 42′ CD A34005 1015 63 being be VBG A34005 1015 64 the the DT A34005 1015 65 two two CD A34005 1015 66 Altitudes altitude NNS A34005 1015 67 for for IN A34005 1015 68 4 4 CD A34005 1015 69 and and CC A34005 1015 70 8 8 CD A34005 1015 71 in in IN A34005 1015 72 the the DT A34005 1015 73 morning morning NN A34005 1015 74 or or CC A34005 1015 75 afternoon afternoon NN A34005 1015 76 , , , A34005 1015 77 in in IN A34005 1015 78 Summer Summer NNP A34005 1015 79 . . . A34005 1016 1 Difference difference NN A34005 1016 2 — — : A34005 1016 3 272866 272866 CD A34005 1016 4 Sine Sine NNP A34005 1016 5 of of IN A34005 1016 6 1 1 CD A34005 1016 7 34 34 CD A34005 1016 8 being be VBG A34005 1016 9 the the DT A34005 1016 10 two two CD A34005 1016 11 Altitudes altitude NNS A34005 1016 12 for for IN A34005 1016 13 4 4 CD A34005 1016 14 and and CC A34005 1016 15 8 8 CD A34005 1016 16 in in IN A34005 1016 17 the the DT A34005 1016 18 morning morning NN A34005 1016 19 or or CC A34005 1016 20 afternoon afternoon NN A34005 1016 21 , , , A34005 1016 22 in in IN A34005 1016 23 Summer Summer NNP A34005 1016 24 . . . A34005 1017 1 Another another DT A34005 1017 2 Example example NN A34005 1017 3 . . . A34005 1018 1 Let let VB A34005 1018 2 the the DT A34005 1018 3 hour hour NN A34005 1018 4 be be VB A34005 1018 5 45d 45d NNS A34005 1018 6 from from IN A34005 1018 7 six six CD A34005 1018 8 Sine Sine NNP A34005 1018 9 — — : A34005 1018 10 9,8494850 9,8494850 NN A34005 1018 11 the the DT A34005 1018 12 former former JJ A34005 1018 13 fixed fix VBN A34005 1018 14 Logme Logme NNP A34005 1018 15 — — : A34005 1018 16 19,7561745 19,7561745 NNP A34005 1018 17 N N NNP A34005 1018 18 Sine Sine NNP A34005 1018 19 against against IN A34005 1018 20 it -PRON- PRP A34005 1018 21 — — : A34005 1018 22 4032791 4032791 CD A34005 1018 23 Sum Sum NNP A34005 1018 24 — — : A34005 1018 25 9,6056595 9,6056595 NNP A34005 1018 26 N N NNP A34005 1018 27 Sine Sine NNP A34005 1018 28 of of IN A34005 1018 29 Altitude Altitude NNP A34005 1018 30 at at IN A34005 1018 31 6 6 CD A34005 1018 32 — — SYM A34005 1018 33 3124174 3124174 CD A34005 1018 34 Sum Sum NNP A34005 1018 35 — — : A34005 1018 36 9,6056595 9,6056595 NNP A34005 1018 37 Sum Sum NNP A34005 1018 38 — — : A34005 1018 39 7156965 7156965 CD A34005 1018 40 Sine Sine NNP A34005 1018 41 of of IN A34005 1018 42 45d 45d CD A34005 1018 43 42′ 42′ CD A34005 1018 44 being be VBG A34005 1018 45 the the DT A34005 1018 46 two two CD A34005 1018 47 Altitudes altitude NNS A34005 1018 48 for for IN A34005 1018 49 the the DT A34005 1018 50 hours hour NNS A34005 1018 51 of of IN A34005 1018 52 9 9 CD A34005 1018 53 or or CC A34005 1018 54 3 3 CD A34005 1018 55 in in IN A34005 1018 56 Summer Summer NNP A34005 1018 57 or or CC A34005 1018 58 Winter Winter NNP A34005 1018 59 for for IN A34005 1018 60 Declination Declination NNP A34005 1018 61 23d 23d NNS A34005 1018 62 31′ 31′ CD A34005 1018 63 both both DT A34005 1018 64 towards towards IN A34005 1018 65 the the DT A34005 1018 66 Elevated elevated JJ A34005 1018 67 and and CC A34005 1018 68 Depressed Depressed NNP A34005 1018 69 Pole Pole NNP A34005 1018 70 . . . A34005 1019 1 Difference difference NN A34005 1019 2 — — : A34005 1019 3 908617 908617 CD A34005 1019 4 Sine Sine NNP A34005 1019 5 — — : A34005 1019 6 5 5 CD A34005 1019 7 13 13 CD A34005 1019 8 being be VBG A34005 1019 9 the the DT A34005 1019 10 two two CD A34005 1019 11 Altitudes altitude NNS A34005 1019 12 for for IN A34005 1019 13 the the DT A34005 1019 14 hours hour NNS A34005 1019 15 of of IN A34005 1019 16 9 9 CD A34005 1019 17 or or CC A34005 1019 18 3 3 CD A34005 1019 19 in in IN A34005 1019 20 Summer Summer NNP A34005 1019 21 or or CC A34005 1019 22 Winter Winter NNP A34005 1019 23 for for IN A34005 1019 24 Declination Declination NNP A34005 1019 25 23d 23d NNS A34005 1019 26 31′ 31′ CD A34005 1019 27 both both DT A34005 1019 28 towards towards IN A34005 1019 29 the the DT A34005 1019 30 Elevated elevated JJ A34005 1019 31 and and CC A34005 1019 32 Depressed Depressed NNP A34005 1019 33 Pole Pole NNP A34005 1019 34 . . . A34005 1020 1 By by IN A34005 1020 2 the the DT A34005 1020 3 former former JJ A34005 1020 4 Canon Canon NNP A34005 1020 5 was be VBD A34005 1020 6 the the DT A34005 1020 7 following follow VBG A34005 1020 8 Table table NN A34005 1020 9 of of IN A34005 1020 10 Altitudes altitude NNS A34005 1020 11 calculated calculate VBN A34005 1020 12 , , , A34005 1020 13 and and CC A34005 1020 14 that that IN A34005 1020 15 with with IN A34005 1020 16 much much JJ A34005 1020 17 celerity celerity NN A34005 1020 18 beyond beyond IN A34005 1020 19 any any DT A34005 1020 20 other other JJ A34005 1020 21 way way NN A34005 1020 22 , , , A34005 1020 23 it -PRON- PRP A34005 1020 24 will will MD A34005 1020 25 not not RB A34005 1020 26 be be VB A34005 1020 27 amiss amiss JJ A34005 1020 28 to to IN A34005 1020 29 Calculate calculate VB A34005 1020 30 the the DT A34005 1020 31 Suns Suns NNPS A34005 1020 32 Altitude Altitude NNP A34005 1020 33 at at IN A34005 1020 34 6 6 CD A34005 1020 35 by by IN A34005 1020 36 the the DT A34005 1020 37 natural natural JJ A34005 1020 38 Tables Tables NNPS A34005 1020 39 only only RB A34005 1020 40 , , , A34005 1020 41 however however RB A34005 1020 42 the the DT A34005 1020 43 Logarithms Logarithms NNP A34005 1020 44 will will MD A34005 1020 45 accurately accurately RB A34005 1020 46 discover discover VB A34005 1020 47 the the DT A34005 1020 48 natural natural JJ A34005 1020 49 sine sine NN A34005 1020 50 of of IN A34005 1020 51 at at IN A34005 1020 52 , , , A34005 1020 53 if if IN A34005 1020 54 duly duly RB A34005 1020 55 Proportioned proportion VBN A34005 1020 56 by by IN A34005 1020 57 the the DT A34005 1020 58 differences difference NNS A34005 1020 59 . . . A34005 1021 1 A a DT A34005 1021 2 Table table NN A34005 1021 3 of of IN A34005 1021 4 the the DT A34005 1021 5 Suns Suns NNPS A34005 1021 6 Altitudes Altitudes NNPS A34005 1021 7 for for IN A34005 1021 8 each each DT A34005 1021 9 Hour hour NN A34005 1021 10 and and CC A34005 1021 11 quarter quarter NN A34005 1021 12 for for IN A34005 1021 13 the the DT A34005 1021 14 Latitude Latitude NNP A34005 1021 15 of of IN A34005 1021 16 London London NNP A34005 1021 17 . . . A34005 1022 1 North North NNP A34005 1022 2 . . . A34005 1023 1 South South NNP A34005 1023 2 . . . A34005 1024 1 Declination declination NN A34005 1024 2 . . . A34005 1025 1 23d 23d NNS A34005 1025 2 , , , A34005 1025 3 31 31 CD A34005 1025 4 13 13 CD A34005 1025 5 Equator equator NN A34005 1025 6 . . . A34005 1026 1 13d 13d CD A34005 1026 2 23 23 CD A34005 1026 3 31 31 CD A34005 1026 4     _SP A34005 1026 5 XII XII NNP A34005 1026 6 . . . A34005 1027 1 61d 61d NNS A34005 1027 2 , , , A34005 1027 3 59 59 CD A34005 1027 4 51 51 CD A34005 1027 5 , , , A34005 1027 6 28 28 CD A34005 1027 7 38 38 CD A34005 1027 8 , , , A34005 1027 9 28 28 CD A34005 1027 10 . . . A34005 1028 1 25 25 CD A34005 1028 2 , , , A34005 1028 3 28 28 CD A34005 1028 4 14 14 CD A34005 1028 5 , , , A34005 1028 6 57 57 CD A34005 1028 7 XII xii NN A34005 1028 8 . . . A34005 1029 1 . . . A34005 1030 1 61 61 CD A34005 1030 2 , , , A34005 1030 3 49 49 CD A34005 1030 4 51 51 CD A34005 1030 5 , , , A34005 1030 6 21 21 CD A34005 1030 7 38 38 CD A34005 1030 8 , , , A34005 1030 9 22 22 CD A34005 1030 10 25 25 CD A34005 1030 11 , , , A34005 1030 12 20 20 CD A34005 1030 13 14 14 CD A34005 1030 14 , , , A34005 1030 15 52 52 CD A34005 1030 16     _SP A34005 1030 17 * * NFP A34005 1030 18 61 61 CD A34005 1030 19 , , , A34005 1030 20 23 23 CD A34005 1030 21 50 50 CD A34005 1030 22 , , , A34005 1030 23 59 59 CD A34005 1030 24 38 38 CD A34005 1030 25 , , , A34005 1030 26 4 4 CD A34005 1030 27 25 25 CD A34005 1030 28 , , , A34005 1030 29 8 8 CD A34005 1030 30 14 14 CD A34005 1030 31 , , , A34005 1030 32 39 39 CD A34005 1030 33     _SP A34005 1030 34 . . . A34005 1031 1 60 60 CD A34005 1031 2 , , , A34005 1031 3 40 40 CD A34005 1031 4 50 50 CD A34005 1031 5 , , , A34005 1031 6 24 24 CD A34005 1031 7 37 37 CD A34005 1031 8 , , , A34005 1031 9 36 36 CD A34005 1031 10 24 24 CD A34005 1031 11 , , , A34005 1031 12 43 43 CD A34005 1031 13 14 14 CD A34005 1031 14 , , , A34005 1031 15 18 18 CD A34005 1031 16     _SP A34005 1031 17 I. i. NN A34005 1032 1 59 59 CD A34005 1032 2 , , , A34005 1032 3 42 42 CD A34005 1032 4 49 49 CD A34005 1032 5 , , , A34005 1032 6 36 36 CD A34005 1032 7 36 36 CD A34005 1032 8 56 56 CD A34005 1032 9 24 24 CD A34005 1032 10 , , , A34005 1032 11 10 10 CD A34005 1032 12 13 13 CD A34005 1032 13 , , , A34005 1032 14 48 48 CD A34005 1032 15 XI XI NNP A34005 1032 16 . . . A34005 1033 1 58 58 CD A34005 1033 2 , , , A34005 1033 3 29 29 CD A34005 1033 4 48 48 CD A34005 1033 5 , , , A34005 1033 6 35 35 CD A34005 1033 7 36 36 CD A34005 1033 8 , , , A34005 1033 9 5 5 CD A34005 1033 10 23 23 CD A34005 1033 11 , , , A34005 1033 12 26 26 CD A34005 1033 13 13 13 CD A34005 1033 14 , , , A34005 1033 15 9 9 CD A34005 1033 16         _SP A34005 1033 17 57 57 CD A34005 1033 18 , , , A34005 1033 19 4 4 CD A34005 1033 20 47 47 CD A34005 1033 21 , , , A34005 1033 22 24 24 CD A34005 1033 23 35 35 CD A34005 1033 24 , , , A34005 1033 25 4 4 CD A34005 1033 26 22 22 CD A34005 1033 27 , , , A34005 1033 28 34 34 CD A34005 1033 29 12 12 CD A34005 1033 30 , , , A34005 1033 31 23 23 CD A34005 1033 32         _SP A34005 1033 33 55 55 CD A34005 1033 34 , , , A34005 1033 35 29 29 CD A34005 1033 36 46 46 CD A34005 1033 37 , , , A34005 1033 38 1 1 CD A34005 1033 39 33 33 CD A34005 1033 40 , , , A34005 1033 41 55 55 CD A34005 1033 42 21 21 CD A34005 1033 43 , , , A34005 1033 44 33 33 CD A34005 1033 45 11 11 CD A34005 1033 46 , , , A34005 1033 47 29 29 CD A34005 1033 48     _SP A34005 1033 49 II II NNP A34005 1033 50 . . . A34005 1034 1 53 53 CD A34005 1034 2 , , , A34005 1034 3 45 45 CD A34005 1034 4 44 44 CD A34005 1034 5 , , , A34005 1034 6 3 3 CD A34005 1034 7 ● ● SYM A34005 1034 8 32 32 CD A34005 1034 9 , , , A34005 1034 10 36 36 CD A34005 1034 11 20 20 CD A34005 1034 12 , , , A34005 1034 13 25 25 CD A34005 1034 14 10 10 CD A34005 1034 15 , , , A34005 1034 16 28 28 CD A34005 1034 17 X. x. NN A34005 1035 1 51 51 CD A34005 1035 2 , , , A34005 1035 3 53 53 CD A34005 1035 4 42 42 CD A34005 1035 5 , , , A34005 1035 6 51 51 CD A34005 1035 7 31 31 CD A34005 1035 8 , , , A34005 1035 9 8 8 CD A34005 1035 10 19 19 CD A34005 1035 11 , , , A34005 1035 12 8 8 CD A34005 1035 13 9 9 CD A34005 1035 14 , , , A34005 1035 15 19 19 CD A34005 1035 16         _SP A34005 1035 17 49 49 CD A34005 1035 18 , , , A34005 1035 19 54 54 CD A34005 1035 20 41 41 CD A34005 1035 21 , , , A34005 1035 22 4 4 CD A34005 1035 23 29 29 CD A34005 1035 24 , , , A34005 1035 25 34 34 CD A34005 1035 26 17 17 CD A34005 1035 27 , , , A34005 1035 28 44 44 CD A34005 1035 29 8 8 CD A34005 1035 30 , , , A34005 1035 31 3 3 CD A34005 1035 32         _SP A34005 1035 33 47 47 CD A34005 1035 34 , , , A34005 1035 35 51 51 CD A34005 1035 36 39 39 CD A34005 1035 37 , , , A34005 1035 38 1 1 CD A34005 1035 39 ● ● CD A34005 1035 40 27 27 CD A34005 1035 41 , , , A34005 1035 42 53 53 CD A34005 1035 43 16 16 CD A34005 1035 44 , , , A34005 1035 45 14 14 CD A34005 1035 46 6 6 CD A34005 1035 47 41 41 CD A34005 1035 48     _SP A34005 1035 49 III iii CD A34005 1035 50 . . . A34005 1036 1 45 45 CD A34005 1036 2 , , , A34005 1036 3 42 42 CD A34005 1036 4 37 37 CD A34005 1036 5 1 1 CD A34005 1036 6 ● ● CD A34005 1036 7 26 26 CD A34005 1036 8 , , , A34005 1036 9 6 6 CD A34005 1036 10 14 14 CD A34005 1036 11 , , , A34005 1036 12 38 38 CD A34005 1036 13 5 5 CD A34005 1036 14 13 13 CD A34005 1036 15 IX ix NN A34005 1036 16 . . . A34005 1037 1 43 43 CD A34005 1037 2 , , , A34005 1037 3 31 31 CD A34005 1037 4 35 35 CD A34005 1037 5 , , , A34005 1037 6 9 9 CD A34005 1037 7 24 24 CD A34005 1037 8 , , , A34005 1037 9 12 12 CD A34005 1037 10 12 12 CD A34005 1037 11 , , , A34005 1037 12 55 55 CD A34005 1037 13 3 3 CD A34005 1037 14 , , , A34005 1037 15 39 39 CD A34005 1037 16         _SP A34005 1037 17 41 41 CD A34005 1037 18 , , , A34005 1037 19 16 16 CD A34005 1037 20 33 33 CD A34005 1037 21 , , , A34005 1037 22 2 2 CD A34005 1037 23 22 22 CD A34005 1037 24 , , , A34005 1037 25 15 15 CD A34005 1037 26 11 11 CD A34005 1037 27 , , , A34005 1037 28 7 7 CD A34005 1037 29 1 1 CD A34005 1037 30 , , , A34005 1037 31 59 59 CD A34005 1037 32         _SP A34005 1037 33 38 38 CD A34005 1037 34 , , , A34005 1037 35 59 59 CD A34005 1037 36 30 30 CD A34005 1037 37 , , , A34005 1037 38 52 52 CD A34005 1037 39 20 20 CD A34005 1037 40 , , , A34005 1037 41 13 13 CD A34005 1037 42 9 9 CD A34005 1037 43 , , , A34005 1037 44 15 15 CD A34005 1037 45 0 0 CD A34005 1037 46 , , , A34005 1037 47 15 15 CD A34005 1037 48     _SP A34005 1037 49 IIII IIII NNP A34005 1037 50 . . . A34005 1038 1 36 36 CD A34005 1038 2 , , , A34005 1038 3 42 42 CD A34005 1038 4 28 28 CD A34005 1038 5 , , , A34005 1038 6 37 37 CD A34005 1038 7 18 18 CD A34005 1038 8 . . . A34005 1039 1 7 7 CD A34005 1039 2 7 7 CD A34005 1039 3 , , , A34005 1039 4 17 17 CD A34005 1039 5         _SP A34005 1039 6 VIII viii NN A34005 1039 7 . . . A34005 1040 1 34 34 CD A34005 1040 2 , , , A34005 1040 3 23 23 CD A34005 1040 4 26 26 CD A34005 1040 5 , , , A34005 1040 6 22 22 CD A34005 1040 7 15 15 CD A34005 1040 8 , , , A34005 1040 9 58 58 CD A34005 1040 10 5 5 CD A34005 1040 11 , , , A34005 1040 12 17 17 CD A34005 1040 13                 _SP A34005 1040 14 32 32 CD A34005 1040 15 , , , A34005 1040 16 4 4 CD A34005 1040 17 24 24 CD A34005 1040 18 , , , A34005 1040 19 5 5 CD A34005 1040 20 13 13 CD A34005 1040 21 , , , A34005 1040 22 46 46 CD A34005 1040 23 3 3 CD A34005 1040 24 , , , A34005 1040 25 12 12 CD A34005 1040 26                 _SP A34005 1040 27 29 29 CD A34005 1040 28 , , , A34005 1040 29 43 43 CD A34005 1040 30 21 21 CD A34005 1040 31 , , , A34005 1040 32 46 46 CD A34005 1040 33 11 11 CD A34005 1040 34 , , , A34005 1040 35 32 32 CD A34005 1040 36 1 1 CD A34005 1040 37 , , , A34005 1040 38 4 4 CD A34005 1040 39             _SP A34005 1040 40 V. V. NNP A34005 1040 41 27 27 CD A34005 1040 42 , , , A34005 1040 43 23 23 CD A34005 1040 44 19 19 CD A34005 1040 45 . . . A34005 1041 1 27 27 CD A34005 1041 2 9 9 CD A34005 1041 3 , , , A34005 1041 4 16 16 CD A34005 1041 5         _SP A34005 1041 6 VII VII NNP A34005 1041 7 . . . A34005 1042 1 25 25 CD A34005 1042 2 , , , A34005 1042 3 4 4 CD A34005 1042 4 17 17 CD A34005 1042 5 , , , A34005 1042 6 7 7 CD A34005 1042 7 6 6 CD A34005 1042 8 , , , A34005 1042 9 58 58 CD A34005 1042 10                         _SP A34005 1042 11 22 22 CD A34005 1042 12 , , , A34005 1042 13 46 46 CD A34005 1042 14 14 14 CD A34005 1042 15 , , , A34005 1042 16 47 47 CD A34005 1042 17 4 4 CD A34005 1042 18 , , , A34005 1042 19 39 39 CD A34005 1042 20                         _SP A34005 1042 21 20 20 CD A34005 1042 22 , , , A34005 1042 23 28 28 CD A34005 1042 24 12 12 CD A34005 1042 25 , , , A34005 1042 26 27 27 CD A34005 1042 27 2 2 CD A34005 1042 28 , , , A34005 1042 29 20 20 CD A34005 1042 30                     _SP A34005 1042 31 VI VI NNP A34005 1042 32 . . . A34005 1043 1 18 18 CD A34005 1043 2 , , , A34005 1043 3 13 13 CD A34005 1043 4 10 10 CD A34005 1043 5 , , , A34005 1043 6 9 9 CD A34005 1043 7 00 00 CD A34005 1043 8 , , , A34005 1043 9 00 00 NFP A34005 1043 10 VI VI NNP A34005 1043 11 . . . A34005 1044 1 15 15 CD A34005 1044 2 , , , A34005 1044 3 58 58 CD A34005 1044 4 7 7 CD A34005 1044 5 , , , A34005 1044 6 51 51 CD A34005 1044 7                                 _SP A34005 1044 8 13 13 CD A34005 1044 9 , , , A34005 1044 10 46 46 CD A34005 1044 11 5 5 CD A34005 1044 12 , , , A34005 1044 13 34 34 CD A34005 1044 14                                 _SP A34005 1044 15 11 11 CD A34005 1044 16 , , , A34005 1044 17 37 37 CD A34005 1044 18 3 3 CD A34005 1044 19 , , , A34005 1044 20 20 20 CD A34005 1044 21                             _SP A34005 1044 22 VII vii NN A34005 1044 23 . . . A34005 1045 1 9 9 CD A34005 1045 2 , , , A34005 1045 3 30 30 CD A34005 1045 4 1 1 CD A34005 1045 5 , , , A34005 1045 6 7 7 CD A34005 1045 7 V. V. NNP A34005 1045 8                         _SP A34005 1045 9 7 7 CD A34005 1045 10 , , , A34005 1045 11 25 25 CD A34005 1045 12         _SP A34005 1045 13 Declination declination NN A34005 1045 14 . . . A34005 1046 1 Ascensionall ascensionall DT A34005 1046 2 difference difference NN A34005 1046 3 . . . A34005 1047 1 5 5 CD A34005 1047 2 , , , A34005 1047 3 24 24 CD A34005 1047 4                         _SP A34005 1047 5 3 3 CD A34005 1047 6 , , , A34005 1047 7 27 27 CD A34005 1047 8         _SP A34005 1047 9 13d 13d CD A34005 1047 10     _SP A34005 1047 11 16d 16d NNPS A34005 1047 12 , , , A34005 1047 13 54′ 54′ CD A34005 1047 14             _SP A34005 1047 15 VIII viii NN A34005 1047 16 . . . A34005 1048 1 1 1 CD A34005 1048 2 , , , A34005 1048 3 34 34 CD A34005 1048 4 IIII IIII NNP A34005 1048 5 . . . A34005 1049 1 23 23 CD A34005 1049 2 , , , A34005 1049 3 31 31 CD A34005 1049 4 33 33 CD A34005 1049 5 , , , A34005 1049 6 12 12 CD A34005 1049 7 R r NN A34005 1049 8 A a NN A34005 1049 9 A a NN A34005 1049 10 Table table NN A34005 1049 11 of of IN A34005 1049 12 the the DT A34005 1049 13 Suns Suns NNPS A34005 1049 14 Altitudes Altitudes NNPS A34005 1049 15 for for IN A34005 1049 16 every every DT A34005 1049 17 5 5 CD A34005 1049 18 degrees degree NNS A34005 1049 19 of of IN A34005 1049 20 Azimuth Azimuth NNP A34005 1049 21 from from IN A34005 1049 22 the the DT A34005 1049 23 Meridian Meridian NNP A34005 1049 24 for for IN A34005 1049 25 the the DT A34005 1049 26 Latitude Latitude NNP A34005 1049 27 of of IN A34005 1049 28 London London NNP A34005 1049 29 . . . A34005 1050 1 North North NNP A34005 1050 2 . . . A34005 1051 1 South South NNP A34005 1051 2 . . . A34005 1052 1 Declination declination NN A34005 1052 2 . . . A34005 1053 1 2 2 LS A34005 1053 2 ● ● SYM A34005 1053 3 d d NN A34005 1053 4 31 31 CD A34005 1053 5 13d 13d NNS A34005 1053 6 Equator equator NN A34005 1053 7 . . . A34005 1054 1 13 13 CD A34005 1054 2 ● ● CD A34005 1054 3 23d 23d NNS A34005 1054 4 , , , A34005 1054 5 31′ 31′ CD A34005 1054 6 Mer Mer NNP A34005 1054 7 Alt Alt NNP A34005 1054 8 61 61 CD A34005 1054 9 , , , A34005 1054 10 59 59 CD A34005 1054 11 51 51 CD A34005 1054 12 , , , A34005 1054 13 28 28 CD A34005 1054 14 38d 38d CD A34005 1054 15 28′ 28′ CD A34005 1054 16 25d 25d NNS A34005 1054 17 , , , A34005 1054 18 28′ 28′ CD A34005 1054 19 14d 14d NNS A34005 1054 20 , , , A34005 1054 21 57 57 CD A34005 1054 22     _SP A34005 1054 23 5 5 CD A34005 1054 24 61 61 CD A34005 1054 25 , , , A34005 1054 26 55 55 CD A34005 1054 27 51 51 CD A34005 1054 28 , , , A34005 1054 29 23 23 CD A34005 1054 30 38 38 CD A34005 1054 31 , , , A34005 1054 32 21 21 CD A34005 1054 33 25 25 CD A34005 1054 34 , , , A34005 1054 35 21 21 CD A34005 1054 36 14 14 CD A34005 1054 37 , , , A34005 1054 38 49 49 CD A34005 1054 39     _SP A34005 1054 40 10 10 CD A34005 1054 41 61 61 CD A34005 1054 42 , , , A34005 1054 43 42 42 CD A34005 1054 44 51 51 CD A34005 1054 45 , , , A34005 1054 46 7 7 CD A34005 1054 47 38 38 CD A34005 1054 48 , , , A34005 1054 49 2 2 CD A34005 1054 50 24 24 CD A34005 1054 51 , , , A34005 1054 52 57 57 CD A34005 1054 53 14 14 CD A34005 1054 54 , , , A34005 1054 55 22 22 CD A34005 1054 56     _SP A34005 1054 57 15 15 CD A34005 1054 58 61 61 CD A34005 1054 59 , , , A34005 1054 60 21 21 CD A34005 1054 61 50 50 CD A34005 1054 62 , , , A34005 1054 63 40 40 CD A34005 1054 64 37 37 CD A34005 1054 65 , , , A34005 1054 66 30 30 CD A34005 1054 67 24 24 CD A34005 1054 68 , , , A34005 1054 69 20 20 CD A34005 1054 70 13 13 CD A34005 1054 71 , , , A34005 1054 72 39 39 CD A34005 1054 73     _SP A34005 1054 74 20 20 CD A34005 1054 75 60 60 CD A34005 1054 76 , , , A34005 1054 77 51 51 CD A34005 1054 78 50 50 CD A34005 1054 79 , , , A34005 1054 80 3 3 CD A34005 1054 81 36 36 CD A34005 1054 82 , , , A34005 1054 83 44 44 CD A34005 1054 84 23 23 CD A34005 1054 85 , , , A34005 1054 86 27 27 CD A34005 1054 87 12 12 CD A34005 1054 88 , , , A34005 1054 89 39 39 CD A34005 1054 90     _SP A34005 1054 91 25 25 CD A34005 1054 92 60 60 CD A34005 1054 93 , , , A34005 1054 94 11 11 CD A34005 1054 95 49 49 CD A34005 1054 96 , , , A34005 1054 97 14 14 CD A34005 1054 98 35 35 CD A34005 1054 99 , , , A34005 1054 100 45 45 CD A34005 1054 101 22 22 CD A34005 1054 102 , , , A34005 1054 103 16 16 CD A34005 1054 104 11 11 CD A34005 1054 105 , , , A34005 1054 106 19 19 CD A34005 1054 107     _SP A34005 1054 108 30 30 CD A34005 1054 109 59 59 CD A34005 1054 110 21 21 CD A34005 1054 111 48 48 CD A34005 1054 112 , , , A34005 1054 113 13 13 CD A34005 1054 114 34 34 CD A34005 1054 115 , , , A34005 1054 116 32 32 CD A34005 1054 117 20 20 CD A34005 1054 118 , , , A34005 1054 119 51 51 CD A34005 1054 120 9 9 CD A34005 1054 121 , , , A34005 1054 122 43 43 CD A34005 1054 123     _SP A34005 1054 124 35 35 CD A34005 1054 125 58 58 CD A34005 1054 126 , , , A34005 1054 127 20 20 CD A34005 1054 128 46 46 CD A34005 1054 129 , , , A34005 1054 130 59 59 CD A34005 1054 131 33 33 CD A34005 1054 132 , , , A34005 1054 133 3 3 CD A34005 1054 134 19 19 CD A34005 1054 135 , , , A34005 1054 136 7 7 CD A34005 1054 137 7 7 CD A34005 1054 138 , , , A34005 1054 139 46 46 CD A34005 1054 140     _SP A34005 1054 141 40 40 CD A34005 1054 142 57 57 CD A34005 1054 143 , , , A34005 1054 144 7 7 CD A34005 1054 145 45 45 CD A34005 1054 146 , , , A34005 1054 147 31 31 CD A34005 1054 148 31 31 CD A34005 1054 149 , , , A34005 1054 150 19 19 CD A34005 1054 151 17 17 CD A34005 1054 152 , , , A34005 1054 153 7 7 CD A34005 1054 154 5 5 CD A34005 1054 155 , , , A34005 1054 156 31 31 CD A34005 1054 157     _SP A34005 1054 158 45 45 CD A34005 1054 159 55 55 CD A34005 1054 160 , , , A34005 1054 161 43 43 CD A34005 1054 162 43 43 CD A34005 1054 163 , , , A34005 1054 164 50 50 CD A34005 1054 165 29 29 CD A34005 1054 166 , , , A34005 1054 167 19 19 CD A34005 1054 168 14 14 CD A34005 1054 169 , , , A34005 1054 170 50 50 CD A34005 1054 171 2 2 CD A34005 1054 172 , , , A34005 1054 173 57 57 CD A34005 1054 174     _SP A34005 1054 175 50 50 CD A34005 1054 176 54 54 CD A34005 1054 177 , , , A34005 1054 178 3 3 CD A34005 1054 179 41 41 CD A34005 1054 180 , , , A34005 1054 181 53 53 CD A34005 1054 182 27 27 CD A34005 1054 183 , , , A34005 1054 184 3 3 CD A34005 1054 185 12 12 CD A34005 1054 186 , , , A34005 1054 187 13 13 CD A34005 1054 188 0 0 CD A34005 1054 189 , , , A34005 1054 190 03 03 CD A34005 1054 191     _SP A34005 1054 192 55 55 CD A34005 1054 193 52 52 CD A34005 1054 194 , , , A34005 1054 195 7 7 CD A34005 1054 196 39 39 CD A34005 1054 197 , , , A34005 1054 198 39 39 CD A34005 1054 199 24 24 CD A34005 1054 200 , , , A34005 1054 201 30 30 CD A34005 1054 202 9 9 CD A34005 1054 203 , , , A34005 1054 204 21 21 CD A34005 1054 205             _SP A34005 1054 206 60 60 CD A34005 1054 207 49 49 CD A34005 1054 208 , , , A34005 1054 209 56 56 CD A34005 1054 210 37 37 CD A34005 1054 211 , , , A34005 1054 212 9 9 CD A34005 1054 213 21 21 CD A34005 1054 214 , , , A34005 1054 215 40 40 CD A34005 1054 216 6 6 CD A34005 1054 217 , , , A34005 1054 218 11 11 CD A34005 1054 219             _SP A34005 1054 220 65 65 CD A34005 1054 221 47 47 CD A34005 1054 222 , , , A34005 1054 223 27 27 CD A34005 1054 224 34 34 CD A34005 1054 225 , , , A34005 1054 226 22 22 CD A34005 1054 227 18 18 CD A34005 1054 228 , , , A34005 1054 229 34 34 CD A34005 1054 230 2 2 CD A34005 1054 231 , , , A34005 1054 232 46 46 CD A34005 1054 233             _SP A34005 1054 234 70 70 CD A34005 1054 235 44 44 CD A34005 1054 236 , , , A34005 1054 237 39 39 CD A34005 1054 238 31 31 CD A34005 1054 239 , , , A34005 1054 240 18 18 CD A34005 1054 241 15 15 CD A34005 1054 242 , , , A34005 1054 243 12 12 CD A34005 1054 244                     _SP A34005 1054 245 75 75 CD A34005 1054 246 41 41 CD A34005 1054 247 , , , A34005 1054 248 34 34 CD A34005 1054 249 27 27 CD A34005 1054 250 , , , A34005 1054 251 58 58 CD A34005 1054 252 11 11 CD A34005 1054 253 , , , A34005 1054 254 37 37 CD A34005 1054 255                     _SP A34005 1054 256 80 80 CD A34005 1054 257 38 38 CD A34005 1054 258 , , , A34005 1054 259 10 10 CD A34005 1054 260 24 24 CD A34005 1054 261 , , , A34005 1054 262 23 23 CD A34005 1054 263 7 7 CD A34005 1054 264 , , , A34005 1054 265 51 51 CD A34005 1054 266                     _SP A34005 1054 267 85 85 CD A34005 1054 268 34 34 CD A34005 1054 269 , , , A34005 1054 270 32 32 CD A34005 1054 271 20 20 CD A34005 1054 272 , , , A34005 1054 273 38 38 CD A34005 1054 274 3 3 CD A34005 1054 275 , , , A34005 1054 276 59 59 CD A34005 1054 277                     _SP A34005 1054 278 90 90 CD A34005 1054 279 30 30 CD A34005 1054 280 39 39 CD A34005 1054 281 16 16 CD A34005 1054 282 , , , A34005 1054 283 42 42 CD A34005 1054 284                             _SP A34005 1054 285 95 95 CD A34005 1054 286 26 26 CD A34005 1054 287 , , , A34005 1054 288 34 34 CD A34005 1054 289 12 12 CD A34005 1054 290 , , , A34005 1054 291 40 40 CD A34005 1054 292                             _SP A34005 1054 293 100 100 CD A34005 1054 294 22 22 CD A34005 1054 295 , , , A34005 1054 296 28 28 CD A34005 1054 297 8 8 CD A34005 1054 298 , , , A34005 1054 299 41 41 CD A34005 1054 300                             _SP A34005 1054 301 105 105 CD A34005 1054 302 18 18 CD A34005 1054 303 , , , A34005 1054 304 20 20 CD A34005 1054 305 4 4 CD A34005 1054 306 , , , A34005 1054 307 44 44 CD A34005 1054 308 Declinat Declinat NNP A34005 1054 309 Amplitude Amplitude NNP A34005 1054 310 . . . A34005 1055 1 110 110 CD A34005 1055 2 14 14 CD A34005 1055 3 , , , A34005 1055 4 15 15 CD A34005 1055 5 0 0 CD A34005 1055 6 , , , A34005 1055 7 54 54 CD A34005 1055 8 13d 13d NNS A34005 1055 9 , , , A34005 1055 10     _SP A34005 1055 11 21d 21d NNS A34005 1055 12 , , , A34005 1055 13 12′ 12′ CD A34005 1055 14             _SP A34005 1055 15 115 115 CD A34005 1055 16 10 10 CD A34005 1055 17 , , , A34005 1055 18 19 19 CD A34005 1055 19         _SP A34005 1055 20 23 23 CD A34005 1055 21 , , , A34005 1055 22 31′ 31′ CD A34005 1055 23 39d 39d NNS A34005 1055 24 , , , A34005 1055 25 54′ 54′ NNP A34005 1055 26             _SP A34005 1055 27 120 120 CD A34005 1055 28 6 6 CD A34005 1055 29 , , , A34005 1055 30 36 36 CD A34005 1055 31                                     _SP A34005 1055 32 125 125 CD A34005 1055 33 3 3 CD A34005 1055 34 , , , A34005 1055 35 7 7 CD A34005 1055 36                                 _SP A34005 1055 37 Many Many NNP A34005 1055 38 Tables Tables NNPS A34005 1055 39 may may MD A34005 1055 40 want want VB A34005 1055 41 the the DT A34005 1055 42 naturall naturall NN A34005 1055 43 Tables table NNS A34005 1055 44 standing stand VBG A34005 1055 45 against against IN A34005 1055 46 the the DT A34005 1055 47 Logarithmicall Logarithmicall NNP A34005 1055 48 ; ; : A34005 1055 49 therefore therefore RB A34005 1055 50 the the DT A34005 1055 51 method method NN A34005 1055 52 of of IN A34005 1055 53 Calculation Calculation NNP A34005 1055 54 by by IN A34005 1055 55 the the DT A34005 1055 56 Logarithmicall Logarithmicall NNP A34005 1055 57 Tables Tables NNPS A34005 1055 58 onely onely RB A34005 1055 59 , , , A34005 1055 60 is be VBZ A34005 1055 61 not not RB A34005 1055 62 to to TO A34005 1055 63 be be VB A34005 1055 64 omitted omit VBN A34005 1055 65 , , , A34005 1055 66 albeit albeit IN A34005 1055 67 we -PRON- PRP A34005 1055 68 wave wave VBP A34005 1055 69 the the DT A34005 1055 70 common common JJ A34005 1055 71 Proportions Proportions NNPS A34005 1055 72 , , , A34005 1055 73 when when WRB A34005 1055 74 three three CD A34005 1055 75 Sides side NNS A34005 1055 76 are be VBP A34005 1055 77 given give VBN A34005 1055 78 to to TO A34005 1055 79 find find VB A34005 1055 80 an an DT A34005 1055 81 Angle angle NN A34005 1055 82 . . . A34005 1056 1 A a DT A34005 1056 2 general general JJ A34005 1056 3 Proportion proportion NN A34005 1056 4 derived derive VBN A34005 1056 5 from from IN A34005 1056 6 the the DT A34005 1056 7 book book NN A34005 1056 8 of of IN A34005 1056 9 the the DT A34005 1056 10 honorable honorable JJ A34005 1056 11 Baron Baron NNP A34005 1056 12 of of IN A34005 1056 13 Marchist Marchist NNP A34005 1056 14 ● ● NFP A34005 1056 15 n n CD A34005 1056 16 , , , A34005 1056 17 which which WDT A34005 1056 18 may may MD A34005 1056 19 bee bee VB A34005 1056 20 wrought work VBD A34005 1056 21 on on IN A34005 1056 22 a a DT A34005 1056 23 Serpentine Serpentine NNP A34005 1056 24 Line Line NNP A34005 1056 25 without without IN A34005 1056 26 the the DT A34005 1056 27 use use NN A34005 1056 28 of of IN A34005 1056 29 Versed Versed NNP A34005 1056 30 Sines Sines NNPS A34005 1056 31 , , , A34005 1056 32 or or CC A34005 1056 33 finding find VBG A34005 1056 34 the the DT A34005 1056 35 half half JJ A34005 1056 36 distance distance NN A34005 1056 37 between between IN A34005 1056 38 the the DT A34005 1056 39 7th 7th JJ A34005 1056 40 Tearme Tearme NNP A34005 1056 41 and and CC A34005 1056 42 the the DT A34005 1056 43 Radius Radius NNP A34005 1056 44 , , , A34005 1056 45 not not RB A34005 1056 46 encumbred encumbre VBN A34005 1056 47 with with IN A34005 1056 48 Rectangles Rectangles NNPS A34005 1056 49 , , , A34005 1056 50 Squares square NNS A34005 1056 51 , , , A34005 1056 52 or or CC A34005 1056 53 Differences difference NNS A34005 1056 54 of of IN A34005 1056 55 Sines Sines NNPS A34005 1056 56 , , , A34005 1056 57 or or CC A34005 1056 58 Versed Versed NNP A34005 1056 59 Sines Sines NNPS A34005 1056 60 . . . A34005 1057 1 Three three CD A34005 1057 2 Sides side NNS A34005 1057 3 to to TO A34005 1057 4 find find VB A34005 1057 5 an an DT A34005 1057 6 Angle angle NN A34005 1057 7 ; ; : A34005 1057 8 two two CD A34005 1057 9 of of IN A34005 1057 10 them -PRON- PRP A34005 1057 11 or or CC A34005 1057 12 all all DT A34005 1057 13 three three CD A34005 1057 14 being be VBG A34005 1057 15 lesse lesse NN A34005 1057 16 then then RB A34005 1057 17 Quadrants Quadrants NNPS A34005 1057 18 . . . A34005 1058 1 By by IN A34005 1058 2 a a DT A34005 1058 3 supposed suppose VBN A34005 1058 4 perpendicular perpendicular NN A34005 1058 5 , , , A34005 1058 6 which which WDT A34005 1058 7 need need VBP A34005 1058 8 not not RB A34005 1058 9 to to TO A34005 1058 10 be be VB A34005 1058 11 named name VBN A34005 1058 12 . . . A34005 1059 1 As as IN A34005 1059 2 the the DT A34005 1059 3 Tangent Tangent NNP A34005 1059 4 of of IN A34005 1059 5 half half PDT A34005 1059 6 the the DT A34005 1059 7 greater great JJR A34005 1059 8 of of IN A34005 1059 9 the the DT A34005 1059 10 containing contain VBG A34005 1059 11 sides side NNS A34005 1059 12 , , , A34005 1059 13 To to IN A34005 1059 14 the the DT A34005 1059 15 Tangent tangent NN A34005 1059 16 of of IN A34005 1059 17 the the DT A34005 1059 18 half half JJ A34005 1059 19 sum sum NN A34005 1059 20 of of IN A34005 1059 21 the the DT A34005 1059 22 other other JJ A34005 1059 23 sides side NNS A34005 1059 24 : : : A34005 1059 25 So so RB A34005 1059 26 is be VBZ A34005 1059 27 the the DT A34005 1059 28 Tangent Tangent NNP A34005 1059 29 of of IN A34005 1059 30 half half PDT A34005 1059 31 their -PRON- PRP$ A34005 1059 32 difference difference NN A34005 1059 33 , , , A34005 1059 34 To to IN A34005 1059 35 the the DT A34005 1059 36 tangent tangent NN A34005 1059 37 of of IN A34005 1059 38 a a DT A34005 1059 39 fourth fourth JJ A34005 1059 40 Arke Arke NNP A34005 1059 41 . . . A34005 1060 1 If if IN A34005 1060 2 this this DT A34005 1060 3 Arke Arke NNP A34005 1060 4 be be VB A34005 1060 5 greater great JJR A34005 1060 6 then then RB A34005 1060 7 the the DT A34005 1060 8 half half NN A34005 1060 9 of of IN A34005 1060 10 the the DT A34005 1060 11 first first JJ A34005 1060 12 assumed assume VBN A34005 1060 13 side side NN A34005 1060 14 ; ; : A34005 1060 15 namely namely RB A34005 1060 16 , , , A34005 1060 17 then then RB A34005 1060 18 the the DT A34005 1060 19 Arke Arke NNP A34005 1060 20 of of IN A34005 1060 21 the the DT A34005 1060 22 first first JJ A34005 1060 23 Tearme Tearme NNP A34005 1060 24 , , , A34005 1060 25 in in IN A34005 1060 26 the the DT A34005 1060 27 Proportion Proportion NNP A34005 1060 28 , , , A34005 1060 29 the the DT A34005 1060 30 ( ( -LRB- A34005 1060 31 Supposed suppose VBN A34005 1060 32 perpendicular perpendicular JJ A34005 1060 33 falls fall VBZ A34005 1060 34 without without IN A34005 1060 35 ) ) -RRB- A34005 1060 36 Angles angle NNS A34005 1060 37 opposite opposite JJ A34005 1060 38 to to IN A34005 1060 39 the the DT A34005 1060 40 two two CD A34005 1060 41 other other JJ A34005 1060 42 Sides side NNS A34005 1060 43 are be VBP A34005 1060 44 of of IN A34005 1060 45 a a DT A34005 1060 46 different different JJ A34005 1060 47 Affection affection NN A34005 1060 48 , , , A34005 1060 49 the the DT A34005 1060 50 greatest great JJS A34005 1060 51 side side NN A34005 1060 52 subtending subtend VBG A34005 1060 53 the the DT A34005 1060 54 Obtuse Obtuse NNP A34005 1060 55 angle angle NN A34005 1060 56 , , , A34005 1060 57 and and CC A34005 1060 58 the the DT A34005 1060 59 lesser less JJR A34005 1060 60 the the DT A34005 1060 61 Accute Accute NNP A34005 1060 62 . . . A34005 1061 1 If if IN A34005 1061 2 the the DT A34005 1061 3 Angle Angle NNP A34005 1061 4 Opposite Opposite NNP A34005 1061 5 to to IN A34005 1061 6 the the DT A34005 1061 7 greater great JJR A34005 1061 8 of of IN A34005 1061 9 the the DT A34005 1061 10 other other JJ A34005 1061 11 Sides side NNS A34005 1061 12 be be VB A34005 1061 13 sought seek VBN A34005 1061 14 ▪ ▪ TO A34005 1061 15 Take take VB A34005 1061 16 the the DT A34005 1061 17 difference difference NN A34005 1061 18 ; ; : A34005 1061 19 if if IN A34005 1061 20 to to IN A34005 1061 21 the the DT A34005 1061 22 lesser less JJR A34005 1061 23 , , , A34005 1061 24 the the DT A34005 1061 25 Sum Sum NNP A34005 1061 26 of of IN A34005 1061 27 the the DT A34005 1061 28 4th 4th JJ A34005 1061 29 Arke Arke NNP A34005 1061 30 , , , A34005 1061 31 and and CC A34005 1061 32 of of IN A34005 1061 33 half half PDT A34005 1061 34 the the DT A34005 1061 35 containing contain VBG A34005 1061 36 Side side NN A34005 1061 37 , , , A34005 1061 38 which which WDT A34005 1061 39 half half NN A34005 1061 40 is be VBZ A34005 1061 41 the the DT A34005 1061 42 first first JJ A34005 1061 43 Tearme Tearme NNP A34005 1061 44 in in IN A34005 1061 45 the the DT A34005 1061 46 Proportion proportion NN A34005 1061 47 , , , A34005 1061 48 Then then RB A34005 1061 49 , , , A34005 1061 50 As as IN A34005 1061 51 the the DT A34005 1061 52 Radius Radius NNP A34005 1061 53 , , , A34005 1061 54 To to IN A34005 1061 55 the the DT A34005 1061 56 Cotangent Cotangent NNP A34005 1061 57 of of IN A34005 1061 58 the the DT A34005 1061 59 other other JJ A34005 1061 60 Containing contain VBG A34005 1061 61 Side side NN A34005 1061 62 : : : A34005 1061 63 So so CC A34005 1061 64 the the DT A34005 1061 65 Tangent Tangent NNP A34005 1061 66 of of IN A34005 1061 67 the the DT A34005 1061 68 said say VBN A34005 1061 69 Sum Sum NNP A34005 1061 70 or or CC A34005 1061 71 difference difference NN A34005 1061 72 , , , A34005 1061 73 To to IN A34005 1061 74 the the DT A34005 1061 75 Cosine Cosine NNP A34005 1061 76 of of IN A34005 1061 77 the the DT A34005 1061 78 Angle Angle NNP A34005 1061 79 sought seek VBD A34005 1061 80 . . . A34005 1062 1 The the DT A34005 1062 2 first first JJ A34005 1062 3 Tearme Tearme NNP A34005 1062 4 above above RB A34005 1062 5 needs need VBZ A34005 1062 6 no no DT A34005 1062 7 Restraint Restraint NNP A34005 1062 8 , , , A34005 1062 9 but but CC A34005 1062 10 when when WRB A34005 1062 11 one one CD A34005 1062 12 of of IN A34005 1062 13 the the DT A34005 1062 14 Containing contain VBG A34005 1062 15 Sides Sides NNPS A34005 1062 16 is be VBZ A34005 1062 17 greater great JJR A34005 1062 18 then then RB A34005 1062 19 a a DT A34005 1062 20 quadrant quadrant NN A34005 1062 21 : : : A34005 1062 22 If if IN A34005 1062 23 the the DT A34005 1062 24 4th 4th NN A34005 1062 25 Arke Arke NNP A34005 1062 26 be be VB A34005 1062 27 less less JJR A34005 1062 28 then then RB A34005 1062 29 the the DT A34005 1062 30 half half NN A34005 1062 31 of of IN A34005 1062 32 the the DT A34005 1062 33 first first JJ A34005 1062 34 assumed assume VBN A34005 1062 35 Side Side NNP A34005 1062 36 , , , A34005 1062 37 the the DT A34005 1062 38 Perpendicular Perpendicular NNP A34005 1062 39 falls fall VBZ A34005 1062 40 within within IN A34005 1062 41 , , , A34005 1062 42 in in IN A34005 1062 43 this this DT A34005 1062 44 Case Case NNP A34005 1062 45 , , , A34005 1062 46 the the DT A34005 1062 47 two two CD A34005 1062 48 Angles Angles NNPS A34005 1062 49 , , , A34005 1062 50 opposite opposite RB A34005 1062 51 to to IN A34005 1062 52 the the DT A34005 1062 53 two two CD A34005 1062 54 other other JJ A34005 1062 55 sides side NNS A34005 1062 56 may may MD A34005 1062 57 be be VB A34005 1062 58 found find VBN A34005 1062 59 , , , A34005 1062 60 being be VBG A34005 1062 61 both both CC A34005 1062 62 Acute acute JJ A34005 1062 63 . . . A34005 1063 1 Get get VB A34005 1063 2 the the DT A34005 1063 3 Sum Sum NNP A34005 1063 4 and and CC A34005 1063 5 difference difference NN A34005 1063 6 of of IN A34005 1063 7 half half PDT A34005 1063 8 the the DT A34005 1063 9 first first JJ A34005 1063 10 assumed assume VBN A34005 1063 11 Side side NN A34005 1063 12 , , , A34005 1063 13 and and CC A34005 1063 14 of of IN A34005 1063 15 the the DT A34005 1063 16 4 4 CD A34005 1063 17 ● ● NNP A34005 1063 18 Arke Arke NNS A34005 1063 19 , , , A34005 1063 20 the the DT A34005 1063 21 Sum Sum NNP A34005 1063 22 is be VBZ A34005 1063 23 the the DT A34005 1063 24 greater great JJR A34005 1063 25 Segment Segment NNP A34005 1063 26 , , , A34005 1063 27 and and CC A34005 1063 28 the the DT A34005 1063 29 Difference Difference NNP A34005 1063 30 or or CC A34005 1063 31 residue residue NN A34005 1063 32 , , , A34005 1063 33 the the DT A34005 1063 34 lesser less JJR A34005 1063 35 Segment segment NN A34005 1063 36 ; ; : A34005 1063 37 the the DT A34005 1063 38 Perpendicular perpendicular JJ A34005 1063 39 alwayes alwaye NNS A34005 1063 40 falling fall VBG A34005 1063 41 on on IN A34005 1063 42 the the DT A34005 1063 43 side side NN A34005 1063 44 assumed assume VBN A34005 1063 45 , , , A34005 1063 46 first first RB A34005 1063 47 into into IN A34005 1063 48 the the DT A34005 1063 49 Proportion Proportion NNP A34005 1063 50 ; ; : A34005 1063 51 Then then RB A34005 1063 52 , , , A34005 1063 53 As as IN A34005 1063 54 the the DT A34005 1063 55 Radius Radius NNP A34005 1063 56 , , , A34005 1063 57 To to IN A34005 1063 58 the the DT A34005 1063 59 Cotangent Cotangent NNP A34005 1063 60 of of IN A34005 1063 61 the the DT A34005 1063 62 lesser less JJR A34005 1063 63 of of IN A34005 1063 64 the the DT A34005 1063 65 other other JJ A34005 1063 66 Containing contain VBG A34005 1063 67 Sides Sides NNPS A34005 1063 68 ; ; : A34005 1063 69 So so RB A34005 1063 70 is be VBZ A34005 1063 71 the the DT A34005 1063 72 Tangent Tangent NNP A34005 1063 73 of of IN A34005 1063 74 the the DT A34005 1063 75 lesser less JJR A34005 1063 76 Segment segment NN A34005 1063 77 . . . A34005 1064 1 To to IN A34005 1064 2 the the DT A34005 1064 3 Cosine Cosine NNP A34005 1064 4 of of IN A34005 1064 5 the the DT A34005 1064 6 Angle Angle NNP A34005 1064 7 sought seek VBD A34005 1064 8 . . . A34005 1065 1 As as IN A34005 1065 2 the the DT A34005 1065 3 Radius Radius NNP A34005 1065 4 , , , A34005 1065 5 To to IN A34005 1065 6 the the DT A34005 1065 7 Cotangent Cotangent NNP A34005 1065 8 of of IN A34005 1065 9 the the DT A34005 1065 10 greater great JJR A34005 1065 11 of of IN A34005 1065 12 the the DT A34005 1065 13 other other JJ A34005 1065 14 Containing contain VBG A34005 1065 15 Sides Sides NNPS A34005 1065 16 ; ; : A34005 1065 17 So so RB A34005 1065 18 is be VBZ A34005 1065 19 the the DT A34005 1065 20 Tangent Tangent NNP A34005 1065 21 of of IN A34005 1065 22 the the DT A34005 1065 23 greater great JJR A34005 1065 24 Segment Segment NNP A34005 1065 25 . . . A34005 1066 1 To to IN A34005 1066 2 the the DT A34005 1066 3 Cosine Cosine NNP A34005 1066 4 of of IN A34005 1066 5 the the DT A34005 1066 6 Angle Angle NNP A34005 1066 7 sought seek VBD A34005 1066 8 . . . A34005 1067 1 From from IN A34005 1067 2 these these DT A34005 1067 3 general general JJ A34005 1067 4 Directions Directions NNPS A34005 1067 5 is be VBZ A34005 1067 6 derived derive VBN A34005 1067 7 this this DT A34005 1067 8 Canon Canon NNP A34005 1067 9 for for IN A34005 1067 10 Calculating calculate VBG A34005 1067 11 the the DT A34005 1067 12 Azimuth Azimuth NNP A34005 1067 13 ; ; : A34005 1067 14 As as IN A34005 1067 15 the the DT A34005 1067 16 Tangent Tangent NNP A34005 1067 17 of of IN A34005 1067 18 half half PDT A34005 1067 19 the the DT A34005 1067 20 Complement Complement NNP A34005 1067 21 of of IN A34005 1067 22 the the DT A34005 1067 23 Altitude altitude NN A34005 1067 24 ; ; : A34005 1067 25 To to IN A34005 1067 26 the the DT A34005 1067 27 Tangent tangent NN A34005 1067 28 of of IN A34005 1067 29 the the DT A34005 1067 30 half half JJ A34005 1067 31 sum sum NN A34005 1067 32 of of IN A34005 1067 33 the the DT A34005 1067 34 Sun Sun NNP A34005 1067 35 or or CC A34005 1067 36 Stars Stars NNP A34005 1067 37 distance distance NN A34005 1067 38 from from IN A34005 1067 39 this this DT A34005 1067 40 elevated elevated JJ A34005 1067 41 pole pole NN A34005 1067 42 , , , A34005 1067 43 and and CC A34005 1067 44 of of IN A34005 1067 45 the the DT A34005 1067 46 Complement Complement NNP A34005 1067 47 of of IN A34005 1067 48 the the DT A34005 1067 49 Latitude Latitude NNP A34005 1067 50 : : : A34005 1067 51 So so RB A34005 1067 52 is be VBZ A34005 1067 53 the the DT A34005 1067 54 Tangent Tangent NNP A34005 1067 55 of of IN A34005 1067 56 half half PDT A34005 1067 57 their -PRON- PRP$ A34005 1067 58 difference difference NN A34005 1067 59 , , , A34005 1067 60 To to IN A34005 1067 61 the the DT A34005 1067 62 Tangent tangent NN A34005 1067 63 of of IN A34005 1067 64 a a DT A34005 1067 65 4 4 CD A34005 1067 66 h h NN A34005 1067 67 Arke arke NN A34005 1067 68 . . . A34005 1068 1 If if IN A34005 1068 2 this this DT A34005 1068 3 Ark Ark NNP A34005 1068 4 be be VB A34005 1068 5 less less JJR A34005 1068 6 then then RB A34005 1068 7 half half PDT A34005 1068 8 the the DT A34005 1068 9 Complement Complement NNP A34005 1068 10 of of IN A34005 1068 11 the the DT A34005 1068 12 Altitude altitude NN A34005 1068 13 , , , A34005 1068 14 the the DT A34005 1068 15 Azimuth Azimuth NNP A34005 1068 16 is be VBZ A34005 1068 17 Acute acute JJ A34005 1068 18 ; ; : A34005 1068 19 if if IN A34005 1068 20 more more JJR A34005 1068 21 obtuse obtuse NN A34005 1068 22 , , , A34005 1068 23 in in IN A34005 1068 24 both both DT A34005 1068 25 Cases case NNS A34005 1068 26 , , , A34005 1068 27 get get VB A34005 1068 28 the the DT A34005 1068 29 difference difference NN A34005 1068 30 of of IN A34005 1068 31 these these DT A34005 1068 32 two two CD A34005 1068 33 Arkes Arkes NNPS A34005 1068 34 , , , A34005 1068 35 if if IN A34005 1068 36 there there EX A34005 1068 37 be be VB A34005 1068 38 no no DT A34005 1068 39 difference difference NN A34005 1068 40 , , , A34005 1068 41 the the DT A34005 1068 42 Azimuth Azimuth NNP A34005 1068 43 is be VBZ A34005 1068 44 90d 90d NNS A34005 1068 45 from from IN A34005 1068 46 the the DT A34005 1068 47 Meridian Meridian NNP A34005 1068 48 ; ; : A34005 1068 49 Then then RB A34005 1068 50 , , , A34005 1068 51 As as IN A34005 1068 52 the the DT A34005 1068 53 Radius Radius NNP A34005 1068 54 , , , A34005 1068 55 To to IN A34005 1068 56 the the DT A34005 1068 57 Tangent Tangent NNP A34005 1068 58 of of IN A34005 1068 59 the the DT A34005 1068 60 Latitude Latitude NNP A34005 1068 61 ; ; : A34005 1068 62 So so CC A34005 1068 63 the the DT A34005 1068 64 Tangent Tangent NNP A34005 1068 65 of of IN A34005 1068 66 the the DT A34005 1068 67 said say VBN A34005 1068 68 Arke Arke NNP A34005 1068 69 of of IN A34005 1068 70 difference difference NN A34005 1068 71 , , , A34005 1068 72 To to IN A34005 1068 73 the the DT A34005 1068 74 Sine Sine NNP A34005 1068 75 of of IN A34005 1068 76 the the DT A34005 1068 77 Azimuth Azimuth NNP A34005 1068 78 from from IN A34005 1068 79 the the DT A34005 1068 80 prime prime JJ A34005 1068 81 Verticall Verticall NNP A34005 1068 82 . . . A34005 1069 1 This this DT A34005 1069 2 when when WRB A34005 1069 3 the the DT A34005 1069 4 Sun Sun NNP A34005 1069 5 or or CC A34005 1069 6 Stars Stars NNP A34005 1069 7 do do VBP A34005 1069 8 not not RB A34005 1069 9 come come VB A34005 1069 10 to to IN A34005 1069 11 the the DT A34005 1069 12 Meridian Meridian NNP A34005 1069 13 between between IN A34005 1069 14 the the DT A34005 1069 15 Zenith Zenith NNP A34005 1069 16 and and CC A34005 1069 17 the the DT A34005 1069 18 elevated elevated JJ A34005 1069 19 pole pole NN A34005 1069 20 : : : A34005 1069 21 but but CC A34005 1069 22 when when WRB A34005 1069 23 they -PRON- PRP A34005 1069 24 do do VBP A34005 1069 25 , , , A34005 1069 26 Let let VB A34005 1069 27 the the DT A34005 1069 28 sum sum NN A34005 1069 29 of of IN A34005 1069 30 the the DT A34005 1069 31 4th 4th JJ A34005 1069 32 Ark Ark NNP A34005 1069 33 , , , A34005 1069 34 and and CC A34005 1069 35 of of IN A34005 1069 36 half half PDT A34005 1069 37 the the DT A34005 1069 38 Complement Complement NNP A34005 1069 39 of of IN A34005 1069 40 the the DT A34005 1069 41 Altitude altitude NN A34005 1069 42 , , , A34005 1069 43 be be VB A34005 1069 44 the the DT A34005 1069 45 third third JJ A34005 1069 46 Tearme Tearme NNP A34005 1069 47 in in IN A34005 1069 48 the the DT A34005 1069 49 latter latter JJ A34005 1069 50 Proportion proportion NN A34005 1069 51 . . . A34005 1070 1 This this DT A34005 1070 2 is be VBZ A34005 1070 3 a a DT A34005 1070 4 ready ready JJ A34005 1070 5 Way way NN A34005 1070 6 to to TO A34005 1070 7 Calculate calculate VB A34005 1070 8 a a DT A34005 1070 9 Table table NN A34005 1070 10 of of IN A34005 1070 11 Azimuths azimuth NNS A34005 1070 12 ; ; : A34005 1070 13 two two CD A34005 1070 14 Tearms tearm NNS A34005 1070 15 in in IN A34005 1070 16 each each DT A34005 1070 17 Proportion proportion NN A34005 1070 18 being be VBG A34005 1070 19 fixed fix VBN A34005 1070 20 for for IN A34005 1070 21 one one CD A34005 1070 22 Declination declination NN A34005 1070 23 ; ; : A34005 1070 24 and and CC A34005 1070 25 the the DT A34005 1070 26 Azimuth Azimuth NNP A34005 1070 27 being be VBG A34005 1070 28 known know VBN A34005 1070 29 , , , A34005 1070 30 the the DT A34005 1070 31 Hour Hour NNP A34005 1070 32 may may MD A34005 1070 33 be be VB A34005 1070 34 found find VBN A34005 1070 35 by by IN A34005 1070 36 a a DT A34005 1070 37 single single JJ A34005 1070 38 Operation operation NN A34005 1070 39 , , , A34005 1070 40 As as IN A34005 1070 41 the the DT A34005 1070 42 Cosine Cosine NNP A34005 1070 43 of of IN A34005 1070 44 the the DT A34005 1070 45 Declination Declination NNP A34005 1070 46 , , , A34005 1070 47 Is be VBZ A34005 1070 48 to to IN A34005 1070 49 the the DT A34005 1070 50 Sine Sine NNP A34005 1070 51 of of IN A34005 1070 52 the the DT A34005 1070 53 Azimuth Azimuth NNP A34005 1070 54 , , , A34005 1070 55 from from IN A34005 1070 56 the the DT A34005 1070 57 Meridian Meridian NNP A34005 1070 58 : : : A34005 1070 59 So so RB A34005 1070 60 is be VBZ A34005 1070 61 the the DT A34005 1070 62 Cosine Cosine NNP A34005 1070 63 of of IN A34005 1070 64 the the DT A34005 1070 65 Altitude altitude NN A34005 1070 66 , , , A34005 1070 67 To to IN A34005 1070 68 the the DT A34005 1070 69 Sine Sine NNP A34005 1070 70 of of IN A34005 1070 71 the the DT A34005 1070 72 Hour Hour NNP A34005 1070 73 , , , A34005 1070 74 from from IN A34005 1070 75 the the DT A34005 1070 76 Meridian Meridian NNP A34005 1070 77 . . . A34005 1071 1 Example example NN A34005 1071 2 , , , A34005 1071 3 for for IN A34005 1071 4 13d 13d NNS A34005 1071 5 of of IN A34005 1071 6 North North NNP A34005 1071 7 Declination Declination NNP A34005 1071 8 . . . A34005 1072 1 77d 77d VBZ A34005 1072 2 Complement Complement NNP A34005 1072 3 of of IN A34005 1072 4 Declination declination NN A34005 1072 5 the the DT A34005 1072 6 Polar Polar NNP A34005 1072 7 distance distance NN A34005 1072 8 . . . A34005 1073 1 38 38 CD A34005 1073 2 . . . A34005 1074 1 28 28 CD A34005 1074 2 Complement Complement NNP A34005 1074 3 of of IN A34005 1074 4 Latitude Latitude NNP A34005 1074 5 at at IN A34005 1074 6 London London NNP A34005 1074 7 . . . A34005 1075 1 115 115 CD A34005 1075 2 , , , A34005 1075 3 28 28 CD A34005 1075 4 Sum sum NN A34005 1075 5 : : : A34005 1075 6 half half NN A34005 1075 7 sum sum NN A34005 1075 8 57d 57d NNS A34005 1075 9 , , , A34005 1075 10 44′ 44′ CD A34005 1075 11 Tangent Tangent NNP A34005 1075 12 . . . A34005 1076 1 10,1997231 10,1997231 LS A34005 1076 2 . . . A34005 1077 1 38 38 CD A34005 1077 2 , , , A34005 1077 3 32 32 CD A34005 1077 4 difference difference NN A34005 1077 5 : : : A34005 1077 6 half half NN A34005 1077 7 diff diff JJ A34005 1077 8 19 19 CD A34005 1077 9 , , , A34005 1077 10 16 16 CD A34005 1077 11 Tangent tangent NN A34005 1077 12 9 9 CD A34005 1077 13 ▪ ▪ NN A34005 1077 14 5434594 5434594 CD A34005 1077 15 fixed fix VBN A34005 1077 16 for for IN A34005 1077 17 that that DT A34005 1077 18 declination declination NN A34005 1077 19 — — : A34005 1077 20 19,7432225 19,7432225 NNP A34005 1077 21 Altitude Altitude NNP A34005 1077 22 4d 4d CD A34005 1077 23 , , , A34005 1077 24 44′ 44′ CD A34005 1077 25 Comp Comp NNP A34005 1077 26 . . . A34005 1078 1 85d 85d NNS A34005 1078 2 16′ 16′ CD A34005 1078 3 half half NN A34005 1078 4 42d 42d CD A34005 1078 5 38′ 38′ NNP A34005 1078 6 Tang Tang NNP A34005 1078 7 . . . A34005 1079 1 9,9640811 9,9640811 NNP A34005 1079 2 Tangent Tangent NNP A34005 1079 3 of of IN A34005 1079 4 — — : A34005 1079 5 31 31 CD A34005 1079 6 . . . A34005 1080 1 1 1 LS A34005 1080 2 — — : A34005 1080 3 9,7791414 9,7791414 JJ A34005 1080 4 difference difference NN A34005 1080 5 — — : A34005 1080 6 11 11 CD A34005 1080 7 37 37 CD A34005 1080 8 Tangent Tangent NNP A34005 1080 9 9,3129675 9,3129675 NN A34005 1080 10 Tangent tangent NN A34005 1080 11 of of IN A34005 1080 12 51d 51d NNS A34005 1080 13 32′ 32′ CD A34005 1080 14 the the DT A34005 1080 15 Latitude Latitude NNP A34005 1080 16 — — : A34005 1080 17 10,0999135 10,0999135 NNP A34005 1080 18 Sine Sine NNP A34005 1080 19 of of IN A34005 1080 20 15d 15d CD A34005 1080 21 , , , A34005 1080 22 the the DT A34005 1080 23 Azimuth Azimuth NNP A34005 1080 24 9,4128810 9,4128810 NNP A34005 1080 25 from from IN A34005 1080 26 East East NNP A34005 1080 27 or or CC A34005 1080 28 West West NNP A34005 1080 29 Northwards Northwards NNP A34005 1080 30 , , , A34005 1080 31 because because IN A34005 1080 32 the the DT A34005 1080 33 Ark Ark NNP A34005 1080 34 found find VBD A34005 1080 35 by by IN A34005 1080 36 1st 1st JJ A34005 1080 37 Operation Operation NNP A34005 1080 38 was be VBD A34005 1080 39 less less JJR A34005 1080 40 then then RB A34005 1080 41 half half PDT A34005 1080 42 the the DT A34005 1080 43 Complement Complement NNP A34005 1080 44 of of IN A34005 1080 45 the the DT A34005 1080 46 Altitude altitude NN A34005 1080 47 . . . A34005 1081 1 Another another DT A34005 1081 2 Example example NN A34005 1081 3 for for IN A34005 1081 4 the the DT A34005 1081 5 Altitude altitude NN A34005 1081 6 34d 34d NNS A34005 1081 7 22′ 22′ CD A34005 1081 8     _SP A34005 1081 9 Log Log NNP A34005 1081 10 ● ● . A34005 1081 11 The the DT A34005 1081 12 fixed fix VBN A34005 1081 13 Number number NN A34005 1081 14 — — : A34005 1081 15 19,7432225 19,7432225 NNP A34005 1081 16 Compl Compl NNP A34005 1081 17 . . . A34005 1082 1 Altitude altitude NN A34005 1082 2 55 55 CD A34005 1082 3 ● ● SYM A34005 1082 4 38′ 38′ CD A34005 1082 5 half half NN A34005 1082 6 27 27 CD A34005 1082 7 , , , A34005 1082 8 49 49 CD A34005 1082 9 ● ● . A34005 1082 10 Tangent tangent NN A34005 1082 11 9,7223147 9,7223147 NN A34005 1082 12 Tangent tangent NN A34005 1082 13 of of IN A34005 1082 14 — — : A34005 1082 15 46 46 CD A34005 1082 16 , , , A34005 1082 17 23 23 CD A34005 1082 18 — — : A34005 1082 19 10,0209078 10,0209078 NNP A34005 1082 20 Difference Difference NNP A34005 1082 21 — — : A34005 1082 22 18 18 CD A34005 1082 23 , , , A34005 1082 24 34 34 CD A34005 1082 25 Tangent tangent NN A34005 1082 26 9,5261966 9,5261966 JJ A34005 1082 27 Tangent tangent NN A34005 1082 28 of of IN A34005 1082 29 the the DT A34005 1082 30 Latitude Latitude NNP A34005 1082 31 — — : A34005 1082 32 10,0969135 10,0969135 NNS A34005 1082 33 The the DT A34005 1082 34 Sine Sine NNP A34005 1082 35 of of IN A34005 1082 36 25d 25d NNS A34005 1082 37 the the DT A34005 1082 38 Azimuth Azimuth NNP A34005 1082 39 from from IN A34005 1082 40 — — : A34005 1082 41 9,6261101 9,6261101 NN A34005 1082 42 East East NNP A34005 1082 43 to to IN A34005 1082 44 West West NNP A34005 1082 45 Southwards Southwards NNP A34005 1082 46 because because IN A34005 1082 47 the the DT A34005 1082 48 first first JJ A34005 1082 49 Ark Ark NNP A34005 1082 50 was be VBD A34005 1082 51 more more JJR A34005 1082 52 then then RB A34005 1082 53 half half PDT A34005 1082 54 the the DT A34005 1082 55 Coaltitude Coaltitude NNP A34005 1082 56 . . . A34005 1083 1 The the DT A34005 1083 2 hours hour NNS A34005 1083 3 to to IN A34005 1083 4 these these DT A34005 1083 5 two two CD A34005 1083 6 Azimuths azimuth NNS A34005 1083 7 will will MD A34005 1083 8 be be VB A34005 1083 9 found find VBN A34005 1083 10 by by IN A34005 1083 11 the the DT A34005 1083 12 latter latter JJ A34005 1083 13 Proportion proportion NN A34005 1083 14 to to TO A34005 1083 15 be be VB A34005 1083 16 — — : A34005 1083 17 98d 98d NNS A34005 1083 18 , , , A34005 1083 19 54′ 54′ NNP A34005 1083 20 50 50 CD A34005 1083 21 , , , A34005 1083 22 9 9 CD A34005 1083 23 from from IN A34005 1083 24 Noon Noon NNP A34005 1083 25 . . . A34005 1084 1 To to TO A34005 1084 2 Calculate calculate VB A34005 1084 3 the the DT A34005 1084 4 Suns Suns NNPS A34005 1084 5 Altitude Altitude NNP A34005 1084 6 on on IN A34005 1084 7 all all DT A34005 1084 8 Hours hour NNS A34005 1084 9 and and CC A34005 1084 10 Azimuths Azimuths NNPS A34005 1084 11 . . . A34005 1085 1 The the DT A34005 1085 2 first first JJ A34005 1085 3 operation operation NN A34005 1085 4 shall shall MD A34005 1085 5 be be VB A34005 1085 6 to to TO A34005 1085 7 find find VB A34005 1085 8 such such PDT A34005 1085 9 an an DT A34005 1085 10 Ark Ark NNP A34005 1085 11 as as IN A34005 1085 12 may may MD A34005 1085 13 remain remain VB A34005 1085 14 fixed fixed JJ A34005 1085 15 in in IN A34005 1085 16 one one CD A34005 1085 17 Latitude Latitude NNP A34005 1085 18 to to TO A34005 1085 19 serve serve VB A34005 1085 20 to to IN A34005 1085 21 all all DT A34005 1085 22 Declinations declination NNS A34005 1085 23 in in IN A34005 1085 24 both both DT A34005 1085 25 Cases case NNS A34005 1085 26 : : : A34005 1085 27 So so CC A34005 1085 28 that that DT A34005 1085 29 but but CC A34005 1085 30 one one CD A34005 1085 31 Operation operation NN A34005 1085 32 more more JJR A34005 1085 33 need nee MD A34005 1085 34 be be VB A34005 1085 35 required require VBN A34005 1085 36 . . . A34005 1086 1 The the DT A34005 1086 2 Proportion proportion NN A34005 1086 3 to to TO A34005 1086 4 find find VB A34005 1086 5 it -PRON- PRP A34005 1086 6 is be VBZ A34005 1086 7 As as IN A34005 1086 8 the the DT A34005 1086 9 Radius Radius NNP A34005 1086 10 to to IN A34005 1086 11 the the DT A34005 1086 12 Cotangent Cotangent NNP A34005 1086 13 of of IN A34005 1086 14 the the DT A34005 1086 15 Latitude Latitude NNP A34005 1086 16 , , , A34005 1086 17 So so RB A34005 1086 18 is be VBZ A34005 1086 19 the the DT A34005 1086 20 Sine Sine NNP A34005 1086 21 of of IN A34005 1086 22 any any DT A34005 1086 23 Hour Hour NNP A34005 1086 24 from from IN A34005 1086 25 6 6 CD A34005 1086 26 , , , A34005 1086 27 or or CC A34005 1086 28 Azimuth Azimuth NNP A34005 1086 29 from from IN A34005 1086 30 the the DT A34005 1086 31 Vertical Vertical NNP A34005 1086 32 To to IN A34005 1086 33 the the DT A34005 1086 34 Tangent tangent NN A34005 1086 35 of of IN A34005 1086 36 a a DT A34005 1086 37 fourth fourth JJ A34005 1086 38 Ark. Arkansas NNP A34005 1087 1 This this DT A34005 1087 2 4th 4th NN A34005 1087 3 Arke Arke NNS A34005 1087 4 ( ( -LRB- A34005 1087 5 if if IN A34005 1087 6 the the DT A34005 1087 7 Azimuth Azimuth NNP A34005 1087 8 be be VB A34005 1087 9 accounted account VBN A34005 1087 10 from from IN A34005 1087 11 the the DT A34005 1087 12 Vertical Vertical NNP A34005 1087 13 , , , A34005 1087 14 that that RB A34005 1087 15 is is RB A34005 1087 16 , , , A34005 1087 17 from from IN A34005 1087 18 the the DT A34005 1087 19 points point NNS A34005 1087 20 of of IN A34005 1087 21 East East NNP A34005 1087 22 or or CC A34005 1087 23 West West NNP A34005 1087 24 towards towards IN A34005 1087 25 noon noon NN A34005 1087 26 Meridian Meridian NNP A34005 1087 27 ) ) -RRB- A34005 1087 28 Is be VBZ A34005 1087 29 the the DT A34005 1087 30 Altitude altitude NN A34005 1087 31 that that WDT A34005 1087 32 the the DT A34005 1087 33 Sun Sun NNP A34005 1087 34 shall shall MD A34005 1087 35 have have VB A34005 1087 36 , , , A34005 1087 37 being be VBG A34005 1087 38 in in IN A34005 1087 39 the the DT A34005 1087 40 Equinoctial Equinoctial NNP A34005 1087 41 , , , A34005 1087 42 upon upon IN A34005 1087 43 that that DT A34005 1087 44 Azumuth Azumuth NNP A34005 1087 45 , , , A34005 1087 46 and and CC A34005 1087 47 so so RB A34005 1087 48 one one CD A34005 1087 49 of of IN A34005 1087 50 the the DT A34005 1087 51 Quesita Quesita NNP A34005 1087 52 . . . A34005 1088 1 If if IN A34005 1088 2 the the DT A34005 1088 3 hour hour NN A34005 1088 4 from from IN A34005 1088 5 6 6 CD A34005 1088 6 be be VB A34005 1088 7 accounted account VBN A34005 1088 8 upward upward RB A34005 1088 9 on on IN A34005 1088 10 the the DT A34005 1088 11 Equinoctial Equinoctial NNP A34005 1088 12 , , , A34005 1088 13 this this DT A34005 1088 14 4 4 CD A34005 1088 15 ● ● SYM A34005 1088 16 h h NN A34005 1088 17 Ark Ark NNP A34005 1088 18 is be VBZ A34005 1088 19 the the DT A34005 1088 20 ark ark NN A34005 1088 21 or or CC A34005 1088 22 portion portion NN A34005 1088 23 of of IN A34005 1088 24 the the DT A34005 1088 25 hour hour NN A34005 1088 26 Circle Circle NNP A34005 1088 27 , , , A34005 1088 28 between between IN A34005 1088 29 the the DT A34005 1088 30 Equinoctial Equinoctial NNP A34005 1088 31 and and CC A34005 1088 32 Horizon Horizon NNP A34005 1088 33 . . . A34005 1089 1 This this DT A34005 1089 2 Ark Ark NNP A34005 1089 3 for for IN A34005 1089 4 Hours hour NNS A34005 1089 5 and and CC A34005 1089 6 Azimuths Azimuths NNPS A34005 1089 7 beyond beyond IN A34005 1089 8 6 6 CD A34005 1089 9 , , , A34005 1089 10 or or CC A34005 1089 11 the the DT A34005 1089 12 Vertical Vertical NNP A34005 1089 13 , , , A34005 1089 14 towards towards IN A34005 1089 15 the the DT A34005 1089 16 midnight midnight NN A34005 1089 17 Meridian Meridian NNP A34005 1089 18 , , , A34005 1089 19 is be VBZ A34005 1089 20 the the DT A34005 1089 21 Depression Depression NNP A34005 1089 22 under under IN A34005 1089 23 the the DT A34005 1089 24 Horizon Horizon NNP A34005 1089 25 , , , A34005 1089 26 according accord VBG A34005 1089 27 to to IN A34005 1089 28 the the DT A34005 1089 29 Denominations denomination NNS A34005 1089 30 already already RB A34005 1089 31 given give VBN A34005 1089 32 it -PRON- PRP A34005 1089 33 . . . A34005 1090 1 For for IN A34005 1090 2 the the DT A34005 1090 3 Altitudes altitude NNS A34005 1090 4 on on IN A34005 1090 5 all all DT A34005 1090 6 Hours hour NNS A34005 1090 7 . . . A34005 1091 1 When when WRB A34005 1091 2 the the DT A34005 1091 3 Sun Sun NNP A34005 1091 4 is be VBZ A34005 1091 5 in in IN A34005 1091 6 the the DT A34005 1091 7 Equinoctial Equinoctial NNP A34005 1091 8 , , , A34005 1091 9 As as IN A34005 1091 10 the the DT A34005 1091 11 Radius Radius NNP A34005 1091 12 , , , A34005 1091 13 is be VBZ A34005 1091 14 to to IN A34005 1091 15 the the DT A34005 1091 16 Cosine Cosine NNP A34005 1091 17 of of IN A34005 1091 18 the the DT A34005 1091 19 Latitude Latitude NNP A34005 1091 20 : : : A34005 1091 21 So so RB A34005 1091 22 is be VBZ A34005 1091 23 the the DT A34005 1091 24 Sine Sine NNP A34005 1091 25 of of IN A34005 1091 26 the the DT A34005 1091 27 Hour Hour NNP A34005 1091 28 from from IN A34005 1091 29 6 6 CD A34005 1091 30 To to IN A34005 1091 31 the the DT A34005 1091 32 Sine Sine NNP A34005 1091 33 of of IN A34005 1091 34 his -PRON- PRP$ A34005 1091 35 Altitude altitude NN A34005 1091 36 . . . A34005 1092 1 In in IN A34005 1092 2 all all DT A34005 1092 3 other other JJ A34005 1092 4 Cases case NNS A34005 1092 5 , , , A34005 1092 6 If if IN A34005 1092 7 the the DT A34005 1092 8 Hour Hour NNP A34005 1092 9 from from IN A34005 1092 10 noon noon NN A34005 1092 11 be be VBP A34005 1092 12 more more JJR A34005 1092 13 then then IN A34005 1092 14 6 6 CD A34005 1092 15 Substract Substract NNP A34005 1092 16 the the DT A34005 1092 17 Equinoctial Equinoctial NNP A34005 1092 18 Arks Arks NNP A34005 1092 19 that that IN A34005 1092 20 Correspond Correspond NNP A34005 1092 21 to to IN A34005 1092 22 such such JJ A34005 1092 23 parts part NNS A34005 1092 24 of of IN A34005 1092 25 time time NN A34005 1092 26 as as IN A34005 1092 27 you -PRON- PRP A34005 1092 28 would would MD A34005 1092 29 Calculate calculate VB A34005 1092 30 Altitudes altitude NNS A34005 1092 31 for for IN A34005 1092 32 ; ; : A34005 1092 33 out out IN A34005 1092 34 of of IN A34005 1092 35 the the DT A34005 1092 36 Suns Suns NNP A34005 1092 37 distance distance NN A34005 1092 38 from from IN A34005 1092 39 the the DT A34005 1092 40 Depressed Depressed NNP A34005 1092 41 Pole Pole NNP A34005 1092 42 , , , A34005 1092 43 and and CC A34005 1092 44 then then RB A34005 1092 45 it -PRON- PRP A34005 1092 46 will will MD A34005 1092 47 hold hold VB A34005 1092 48 , , , A34005 1092 49 If if IN A34005 1092 50 the the DT A34005 1092 51 Hour Hour NNP A34005 1092 52 from from IN A34005 1092 53 noon noon NN A34005 1092 54 be be VBP A34005 1092 55 less less JJR A34005 1092 56 then then RB A34005 1092 57 6 6 CD A34005 1092 58 Substract Substract NNP A34005 1092 59 the the DT A34005 1092 60 Equinoctial Equinoctial NNP A34005 1092 61 Arks Arks NNP A34005 1092 62 that that IN A34005 1092 63 Correspond Correspond NNP A34005 1092 64 to to IN A34005 1092 65 such such JJ A34005 1092 66 parts part NNS A34005 1092 67 of of IN A34005 1092 68 time time NN A34005 1092 69 as as IN A34005 1092 70 you -PRON- PRP A34005 1092 71 would would MD A34005 1092 72 Calculate calculate VB A34005 1092 73 Altitudes altitude NNS A34005 1092 74 for for IN A34005 1092 75 ; ; : A34005 1092 76 out out IN A34005 1092 77 of of IN A34005 1092 78 the the DT A34005 1092 79 Suns Suns NNP A34005 1092 80 distance distance NN A34005 1092 81 from from IN A34005 1092 82 the the DT A34005 1092 83 Elevated Elevated NNP A34005 1092 84 Pole Pole NNP A34005 1092 85 , , , A34005 1092 86 and and CC A34005 1092 87 then then RB A34005 1092 88 it -PRON- PRP A34005 1092 89 will will MD A34005 1092 90 hold hold VB A34005 1092 91 , , , A34005 1092 92 As as IN A34005 1092 93 the the DT A34005 1092 94 Cosine Cosine NNP A34005 1092 95 of of IN A34005 1092 96 the the DT A34005 1092 97 Ark Ark NNP A34005 1092 98 found find VBN A34005 1092 99 by by IN A34005 1092 100 the the DT A34005 1092 101 first first JJ A34005 1092 102 common common JJ A34005 1092 103 Proportion proportion NN A34005 1092 104 , , , A34005 1092 105 Is be VBZ A34005 1092 106 to to IN A34005 1092 107 the the DT A34005 1092 108 Cosine Cosine NNP A34005 1092 109 of of IN A34005 1092 110 the the DT A34005 1092 111 Ark Ark NNP A34005 1092 112 remaining remain VBG A34005 1092 113 ; ; : A34005 1092 114 So so RB A34005 1092 115 is be VBZ A34005 1092 116 the the DT A34005 1092 117 Sine Sine NNP A34005 1092 118 of of IN A34005 1092 119 the the DT A34005 1092 120 Latitude Latitude NNP A34005 1092 121 , , , A34005 1092 122 To to IN A34005 1092 123 the the DT A34005 1092 124 Sine Sine NNP A34005 1092 125 of of IN A34005 1092 126 the the DT A34005 1092 127 Altitude altitude NN A34005 1092 128 sought seek VBD A34005 1092 129 ▪ ▪ . A34005 1092 130 For for IN A34005 1092 131 the the DT A34005 1092 132 more more RBR A34005 1092 133 speedy speedy JJ A34005 1092 134 Calculating calculate VBG A34005 1092 135 a a DT A34005 1092 136 Table table NN A34005 1092 137 of of IN A34005 1092 138 the the DT A34005 1092 139 Suns Suns NNPS A34005 1092 140 Altitudes Altitudes NNPS A34005 1092 141 for for IN A34005 1092 142 this this DT A34005 1092 143 Latitude Latitude NNP A34005 1092 144 to to IN A34005 1092 145 any any DT A34005 1092 146 Declination declination NN A34005 1092 147 , , , A34005 1092 148 there there EX A34005 1092 149 is be VBZ A34005 1092 150 added add VBN A34005 1092 151 a a DT A34005 1092 152 Table table NN A34005 1092 153 of of IN A34005 1092 154 these these DT A34005 1092 155 Equinoctial Equinoctial NNP A34005 1092 156 Arks Arks NNP A34005 1092 157 for for IN A34005 1092 158 every every DT A34005 1092 159 hour hour NN A34005 1092 160 and and CC A34005 1092 161 quarter quarter NN A34005 1092 162 , , , A34005 1092 163 as as RB A34005 1092 164 also also RB A34005 1092 165 for for IN A34005 1092 166 every every DT A34005 1092 167 5d 5d CD A34005 1092 168 of of IN A34005 1092 169 Azimuth Azimuth NNP A34005 1092 170 ; ; : A34005 1092 171 The the DT A34005 1092 172 use use NN A34005 1092 173 whereof whereof PRP A34005 1092 174 shall shall MD A34005 1092 175 be be VB A34005 1092 176 illustrated illustrate VBN A34005 1092 177 by by IN A34005 1092 178 an an DT A34005 1092 179 Example Example NNP A34005 1092 180 or or CC A34005 1092 181 two two CD A34005 1092 182 , , , A34005 1092 183 observing observe VBG A34005 1092 184 by by IN A34005 1092 185 the the DT A34005 1092 186 way way NN A34005 1092 187 , , , A34005 1092 188 that that IN A34005 1092 189 the the DT A34005 1092 190 same same JJ A34005 1092 191 Ark Ark NNP A34005 1092 192 belongs belong VBZ A34005 1092 193 to to IN A34005 1092 194 two two CD A34005 1092 195 hours hour NNS A34005 1092 196 alike alike RB A34005 1092 197 remote remote JJ A34005 1092 198 on on IN A34005 1092 199 each each DT A34005 1092 200 side side NN A34005 1092 201 from from IN A34005 1092 202 six six CD A34005 1092 203 , , , A34005 1092 204 as as RB A34005 1092 205 also also RB A34005 1092 206 like like IN A34005 1092 207 Arks Arks NNP A34005 1092 208 to to IN A34005 1092 209 two two CD A34005 1092 210 Azimuths azimuth NNS A34005 1092 211 equally equally RB A34005 1092 212 remote remote JJ A34005 1092 213 on on IN A34005 1092 214 each each DT A34005 1092 215 side side NN A34005 1092 216 the the DT A34005 1092 217 Vertical Vertical NNP A34005 1092 218 . . . A34005 1093 1 Hours hour NNS A34005 1093 2 on on IN A34005 1093 3 each each DT A34005 1093 4 side side NN A34005 1093 5 six six CD A34005 1093 6 , , , A34005 1093 7 Azimuths azimuth NNS A34005 1093 8 on on IN A34005 1093 9 each each DT A34005 1093 10 side side NN A34005 1093 11 the the DT A34005 1093 12 Vertical Vertical NNP A34005 1093 13 . . . A34005 1094 1 d d LS A34005 1094 2 ′ ′ ADD A34005 1094 3 VI VI NNP A34005 1094 4 0 0 CD A34005 1094 5 , , , A34005 1094 6 00 00 NFP A34005 1094 7 fixed fix VBN A34005 1094 8 Arks Arks NNP A34005 1094 9             _SP A34005 1094 10 5 5 CD A34005 1094 11 , , , A34005 1094 12 55 55 CD A34005 1094 13     _SP A34005 1094 14 5d 5d CD A34005 1094 15 3 3 CD A34005 1094 16 , , , A34005 1094 17 59 59 CD A34005 1094 18     _SP A34005 1094 19 8 8 CD A34005 1094 20 , , , A34005 1094 21 49 49 CD A34005 1094 22     _SP A34005 1094 23 10 10 CD A34005 1094 24 7 7 CD A34005 1094 25 , , , A34005 1094 26 51 51 CD A34005 1094 27 VII vii NN A34005 1094 28 11 11 CD A34005 1094 29 , , , A34005 1094 30 37 37 CD A34005 1094 31 V v NN A34005 1094 32 15 15 CD A34005 1094 33 11 11 CD A34005 1094 34 , , , A34005 1094 35 37 37 CD A34005 1094 36     _SP A34005 1094 37 14 14 CD A34005 1094 38 , , , A34005 1094 39 19 19 CD A34005 1094 40                 _SP A34005 1094 41 16 16 CD A34005 1094 42 , , , A34005 1094 43 55 55 CD A34005 1094 44     _SP A34005 1094 45 0 0 CD A34005 1094 46 15 15 CD A34005 1094 47 , , , A34005 1094 48 12 12 CD A34005 1094 49     _SP A34005 1094 50 19 19 CD A34005 1094 51 , , , A34005 1094 52 22 22 CD A34005 1094 53     _SP A34005 1094 54 25 25 CD A34005 1094 55 18 18 CD A34005 1094 56 , , , A34005 1094 57 34 34 CD A34005 1094 58 VIII viii NN A34005 1094 59 21 21 CD A34005 1094 60 , , , A34005 1094 61 40 40 CD A34005 1094 62 IIII IIII NNP A34005 1094 63 30 30 CD A34005 1094 64 21 21 CD A34005 1094 65 , , , A34005 1094 66 40 40 CD A34005 1094 67     _SP A34005 1094 68 23 23 CD A34005 1094 69 , , , A34005 1094 70 49 49 CD A34005 1094 71                 _SP A34005 1094 72 25 25 CD A34005 1094 73 , , , A34005 1094 74 48 48 CD A34005 1094 75     _SP A34005 1094 76 35 35 CD A34005 1094 77 24 24 CD A34005 1094 78 , , , A34005 1094 79 30 30 CD A34005 1094 80     _SP A34005 1094 81 27 27 CD A34005 1094 82 , , , A34005 1094 83 39 39 CD A34005 1094 84     _SP A34005 1094 85 40 40 CD A34005 1094 86 27 27 CD A34005 1094 87 , , , A34005 1094 88 3 3 CD A34005 1094 89 IX ix NN A34005 1094 90 29 29 CD A34005 1094 91 , , , A34005 1094 92 19 19 CD A34005 1094 93 III iii CD A34005 1094 94 45 45 CD A34005 1094 95 29 29 CD A34005 1094 96 , , , A34005 1094 97 19 19 CD A34005 1094 98     _SP A34005 1094 99 30 30 CD A34005 1094 100 , , , A34005 1094 101 52 52 CD A34005 1094 102                 _SP A34005 1094 103 32 32 CD A34005 1094 104 , , , A34005 1094 105 13 13 CD A34005 1094 106     _SP A34005 1094 107 50 50 CD A34005 1094 108 31 31 CD A34005 1094 109 , , , A34005 1094 110 19 19 CD A34005 1094 111     _SP A34005 1094 112 33 33 CD A34005 1094 113 , , , A34005 1094 114 27 27 CD A34005 1094 115     _SP A34005 1094 116 55 55 CD A34005 1094 117 33 33 CD A34005 1094 118 , , , A34005 1094 119 3 3 CD A34005 1094 120 X x NN A34005 1094 121 34 34 CD A34005 1094 122 , , , A34005 1094 123 32 32 CD A34005 1094 124 II II NNP A34005 1094 125 60 60 CD A34005 1094 126 34 34 CD A34005 1094 127 , , , A34005 1094 128 32 32 CD A34005 1094 129     _SP A34005 1094 130 35 35 CD A34005 1094 131 , , , A34005 1094 132 28 28 CD A34005 1094 133                 _SP A34005 1094 134 36 36 CD A34005 1094 135 , , , A34005 1094 136 17 17 CD A34005 1094 137     _SP A34005 1094 138 65 65 CD A34005 1094 139 35 35 CD A34005 1094 140 , , , A34005 1094 141 45 45 CD A34005 1094 142     _SP A34005 1094 143 36 36 CD A34005 1094 144 , , , A34005 1094 145 57 57 CD A34005 1094 146     _SP A34005 1094 147 70 70 CD A34005 1094 148 36 36 CD A34005 1094 149 , , , A34005 1094 150 44 44 CD A34005 1094 151 XI XI NNP A34005 1094 152 37 37 CD A34005 1094 153 , , , A34005 1094 154 30 30 CD A34005 1094 155 I i CD A34005 1094 156 75 75 CD A34005 1094 157 37 37 CD A34005 1094 158 , , , A34005 1094 159 30 30 CD A34005 1094 160     _SP A34005 1094 161 37 37 CD A34005 1094 162 , , , A34005 1094 163 55½ 55½ CD A34005 1094 164                 _SP A34005 1094 165 38 38 CD A34005 1094 166 , , , A34005 1094 167 13½ 13½ CD A34005 1094 168     _SP A34005 1094 169 80 80 CD A34005 1094 170 38 38 CD A34005 1094 171 , , , A34005 1094 172 2 2 CD A34005 1094 173     _SP A34005 1094 174 38 38 CD A34005 1094 175 , , , A34005 1094 176 24½ 24½ CD A34005 1094 177     _SP A34005 1094 178 85 85 CD A34005 1094 179 38 38 CD A34005 1094 180 , , , A34005 1094 181 21 21 CD A34005 1094 182 XII xii NN A34005 1094 183 38 38 CD A34005 1094 184 , , , A34005 1094 185 28 28 CD A34005 1094 186     _SP A34005 1094 187 90 90 CD A34005 1094 188 38 38 CD A34005 1094 189 , , , A34005 1094 190 28 28 CD A34005 1094 191 Equinoctial Equinoctial NNP A34005 1094 192 Altitudes Altitudes NNPS A34005 1094 193 or or CC A34005 1094 194 Depressions Depressions NNPS A34005 1094 195 . . . A34005 1095 1 Example example NN A34005 1095 2 . . . A34005 1096 1 Admit admit VB A34005 1096 2 it -PRON- PRP A34005 1096 3 were be VBD A34005 1096 4 required require VBN A34005 1096 5 to to TO A34005 1096 6 Calculate calculate VB A34005 1096 7 the the DT A34005 1096 8 Suns Suns NNPS A34005 1096 9 Altitude Altitude NNP A34005 1096 10 for for IN A34005 1096 11 2 2 CD A34005 1096 12 or or CC A34005 1096 13 10 10 CD A34005 1096 14 of of IN A34005 1096 15 the the DT A34005 1096 16 Clock Clock NNP A34005 1096 17 , , , A34005 1096 18 when when WRB A34005 1096 19 his -PRON- PRP$ A34005 1096 20 declination declination NN A34005 1096 21 is be VBZ A34005 1096 22 23d 23d CD A34005 1096 23 31′ 31′ NNP A34005 1096 24 North North NNP A34005 1096 25 . . . A34005 1097 1 Suns sun NNS A34005 1097 2 distance distance NN A34005 1097 3 from from IN A34005 1097 4 the the DT A34005 1097 5 Elevated Elevated NNP A34005 1097 6 Pole Pole NNP A34005 1097 7 — — : A34005 1097 8 66 66 CD A34005 1097 9 : : : A34005 1097 10 29 29 CD A34005 1097 11 fixed fix VBN A34005 1097 12 Ark Ark NNP A34005 1097 13 for for IN A34005 1097 14 2 2 CD A34005 1097 15 or or CC A34005 1097 16 10 10 CD A34005 1097 17 is be VBZ A34005 1097 18 — — : A34005 1097 19 34 34 CD A34005 1097 20 : : : A34005 1097 21 32 32 CD A34005 1097 22 Residue Residue NNP A34005 1097 23 — — : A34005 1097 24 31 31 CD A34005 1097 25 : : : A34005 1097 26 57 57 CD A34005 1097 27 Complement complement NN A34005 1097 28 of of IN A34005 1097 29 the the DT A34005 1097 30 Residue Residue NNP A34005 1097 31 58d 58d NNS A34005 1097 32 3′ 3′ CD A34005 1097 33 Sine Sine NNP A34005 1097 34 — — : A34005 1097 35 9,9286571 9,9286571 NNP A34005 1097 36 Sine Sine NNP A34005 1097 37 of of IN A34005 1097 38 — — : A34005 1097 39 51 51 CD A34005 1097 40 32 32 CD A34005 1097 41 the the DT A34005 1097 42 Latitude Latitude NNP A34005 1097 43 — — : A34005 1097 44 9,8937452 9,8937452 NN A34005 1097 45 19,8224023 19,8224023 NNP A34005 1097 46 Sine Sine NNP A34005 1097 47 of of IN A34005 1097 48 — — : A34005 1097 49 55 55 CD A34005 1097 50 28 28 CD A34005 1097 51 Com Com NNP A34005 1097 52 first first JJ A34005 1097 53 ark ark NNP A34005 1097 54 9,9158200 9,9158200 NNP A34005 1097 55 Sine Sine NNP A34005 1097 56 of of IN A34005 1097 57 — — : A34005 1097 58 53 53 CD A34005 1097 59 45 45 CD A34005 1097 60 the the DT A34005 1097 61 — — : A34005 1097 62 9,9065823 9,9065823 NNP A34005 1097 63 Altitude Altitude NNP A34005 1097 64 sought seek VBD A34005 1097 65 — — : A34005 1097 66 9,9065823 9,9065823 NN A34005 1097 67 So so RB A34005 1097 68 if if IN A34005 1097 69 it -PRON- PRP A34005 1097 70 were be VBD A34005 1097 71 required require VBN A34005 1097 72 to to TO A34005 1097 73 Calculate calculate VB A34005 1097 74 the the DT A34005 1097 75 Suns Suns NNPS A34005 1097 76 Altitude Altitude NNP A34005 1097 77 for for IN A34005 1097 78 the the DT A34005 1097 79 hour hour NN A34005 1097 80 ▪ ▪ NN A34005 1097 81 of of IN A34005 1097 82 5 5 CD A34005 1097 83 in in IN A34005 1097 84 the the DT A34005 1097 85 morning morning NN A34005 1097 86 when when WRB A34005 1097 87 his -PRON- PRP$ A34005 1097 88 declination declination NN A34005 1097 89 is be VBZ A34005 1097 90 20d 20d NNS A34005 1097 91 North North NNP A34005 1097 92 ☉ ☉ NNP A34005 1097 93 distance distance NN A34005 1097 94 from from IN A34005 1097 95 depressed depressed JJ A34005 1097 96 Pole Pole NNP A34005 1097 97 — — : A34005 1097 98 110d 110d NNPS A34005 1097 99 fixed fix VBD A34005 1097 100 Ark Ark NNP A34005 1097 101 — — : A34005 1097 102 11 11 CD A34005 1097 103 : : : A34005 1097 104 37 37 CD A34005 1097 105 The the DT A34005 1097 106 Residue Residue NNP A34005 1097 107 is be VBZ A34005 1097 108 81d 81d NNS A34005 1097 109 , , , A34005 1097 110 33′ 33′ NNP A34005 1097 111 Or or CC A34005 1097 112 — — : A34005 1097 113 98 98 CD A34005 1097 114 23 23 CD A34005 1097 115 Sine Sine NNP A34005 1097 116 of of IN A34005 1097 117 8d 8d CD A34005 1097 118 , , , A34005 1097 119 23′ 23′ CD A34005 1097 120 the the DT A34005 1097 121 Compl Compl NNP A34005 1097 122 of of IN A34005 1097 123 the the DT A34005 1097 124 Residue residue NN A34005 1097 125 — — : A34005 1097 126 9,1637434 9,1637434 NNP A34005 1097 127 Sine Sine NNP A34005 1097 128 of of IN A34005 1097 129 the the DT A34005 1097 130 Latitude Latitude NNP A34005 1097 131 — — : A34005 1097 132 9,8937452 9,8937452 NNP A34005 1097 133 19,0574886 19,0574886 NNP A34005 1097 134 Sine Sine NNP A34005 1097 135 of of IN A34005 1097 136 78d 78d CD A34005 1097 137 23′ 23′ CD A34005 1097 138 the the DT A34005 1097 139 Compl Compl NNP A34005 1097 140 fixed fix VBN A34005 1097 141 ark ark NN A34005 1097 142 — — : A34005 1097 143 9,9910119 9,9910119 NNP A34005 1097 144 Sine Sine NNP A34005 1097 145 of of IN A34005 1097 146 6d 6d NNP A34005 1097 147 42′ 42′ CD A34005 1097 148 the the DT A34005 1097 149 Altitude altitude NN A34005 1097 150 sought seek VBD A34005 1097 151 — — : A34005 1097 152 9,0664767 9,0664767 NNP A34005 1097 153 For for IN A34005 1097 154 the the DT A34005 1097 155 Altitudes altitude NNS A34005 1097 156 on on IN A34005 1097 157 all all DT A34005 1097 158 Azimuths azimuth NNS A34005 1097 159 . . . A34005 1098 1 As as IN A34005 1098 2 the the DT A34005 1098 3 Sine Sine NNP A34005 1098 4 of of IN A34005 1098 5 the the DT A34005 1098 6 Latitude Latitude NNP A34005 1098 7 , , , A34005 1098 8 Is be VBZ A34005 1098 9 to to IN A34005 1098 10 the the DT A34005 1098 11 Cosine Cosine NNP A34005 1098 12 of of IN A34005 1098 13 the the DT A34005 1098 14 Equinoctial Equinoctial NNP A34005 1098 15 Altitude Altitude NNP A34005 1098 16 : : : A34005 1098 17 So so RB A34005 1098 18 is be VBZ A34005 1098 19 the the DT A34005 1098 20 Sine Sine NNP A34005 1098 21 of of IN A34005 1098 22 the the DT A34005 1098 23 Declination declination NN A34005 1098 24 , , , A34005 1098 25 To to IN A34005 1098 26 the the DT A34005 1098 27 Sine Sine NNP A34005 1098 28 of of IN A34005 1098 29 a a DT A34005 1098 30 fourth fourth JJ A34005 1098 31 Ark. Arkansas NNP A34005 1099 1 Get get VB A34005 1099 2 the the DT A34005 1099 3 sum sum NN A34005 1099 4 and and CC A34005 1099 5 difference difference NN A34005 1099 6 of of IN A34005 1099 7 the the DT A34005 1099 8 Equinoctial Equinoctial NNP A34005 1099 9 Altitude Altitude NNP A34005 1099 10 , , , A34005 1099 11 and and CC A34005 1099 12 of of IN A34005 1099 13 this this DT A34005 1099 14 fourth fourth JJ A34005 1099 15 Ark Ark NNP A34005 1099 16 the the DT A34005 1099 17 sum sum NN A34005 1099 18 is be VBZ A34005 1099 19 the the DT A34005 1099 20 Summer Summer NNP A34005 1099 21 Altitude Altitude NNP A34005 1099 22 for for IN A34005 1099 23 Azimuths azimuth NNS A34005 1099 24 from from IN A34005 1099 25 the the DT A34005 1099 26 Vertical Vertical NNP A34005 1099 27 towards towards IN A34005 1099 28 noon noon NN A34005 1099 29 Meridian Meridian NNP A34005 1099 30 . . . A34005 1100 1 The the DT A34005 1100 2 difference difference NN A34005 1100 3 when when WRB A34005 1100 4 this this DT A34005 1100 5 4th 4th JJ A34005 1100 6 Ark Ark NNP A34005 1100 7 is be VBZ A34005 1100 8 lesser less JJR A34005 1100 9 greater great JJR A34005 1100 10 then then RB A34005 1100 11 the the DT A34005 1100 12 Equinoctial Equinoctial NNP A34005 1100 13 Altitude Altitude NNP A34005 1100 14 is be VBZ A34005 1100 15 the the DT A34005 1100 16 Winter Winter NNP A34005 1100 17 Summer Summer NNP A34005 1100 18 Altitude Altitude NNP A34005 1100 19 for for IN A34005 1100 20 Azimuths azimuth NNS A34005 1100 21 from from IN A34005 1100 22 the the DT A34005 1100 23 Vertical Vertical NNP A34005 1100 24 towards towards IN A34005 1100 25 Noon Noon NNP A34005 1100 26 Midnight Midnight NNP A34005 1100 27 Meridian Meridian NNP A34005 1100 28 Example Example NNP A34005 1100 29 . . . A34005 1101 1 Let let VB A34005 1101 2 it -PRON- PRP A34005 1101 3 be be VB A34005 1101 4 required require VBN A34005 1101 5 to to IN A34005 1101 6 Calculate calculate VB A34005 1101 7 Altitudes altitude NNS A34005 1101 8 for for IN A34005 1101 9 the the DT A34005 1101 10 Suns Suns NNPS A34005 1101 11 Azimuth Azimuth NNP A34005 1101 12 30d 30d CD A34005 1101 13 from from IN A34005 1101 14 the the DT A34005 1101 15 Meridian Meridian NNP A34005 1101 16 , , , A34005 1101 17 that that RB A34005 1101 18 is is RB A34005 1101 19 60d 60d NNS A34005 1101 20 from from IN A34005 1101 21 the the DT A34005 1101 22 Vertical Vertical NNP A34005 1101 23 for for IN A34005 1101 24 Declination Declination NNP A34005 1101 25 23d 23d CD A34005 1101 26 31′ 31′ CD A34005 1101 27 both both CC A34005 1101 28 North North NNP A34005 1101 29 and and CC A34005 1101 30 South South NNP A34005 1101 31 . . . A34005 1102 1 This this DT A34005 1102 2 will will MD A34005 1102 3 be be VB A34005 1102 4 speedily speedily RB A34005 1102 5 done do VBN A34005 1102 6 , , , A34005 1102 7 add add VB A34005 1102 8 the the DT A34005 1102 9 Logme Logme NNP A34005 1102 10 of of IN A34005 1102 11 the the DT A34005 1102 12 Sine Sine NNP A34005 1102 13 of of IN A34005 1102 14 the the DT A34005 1102 15 Declination declination NN A34005 1102 16 to to IN A34005 1102 17 the the DT A34005 1102 18 Arithmetical Arithmetical NNP A34005 1102 19 Complement Complement NNP A34005 1102 20 of of IN A34005 1102 21 the the DT A34005 1102 22 Logme Logme NNP A34005 1102 23 of of IN A34005 1102 24 the the DT A34005 1102 25 Sine Sine NNP A34005 1102 26 of of IN A34005 1102 27 the the DT A34005 1102 28 Latitude Latitude NNP A34005 1102 29 , , , A34005 1102 30 this this DT A34005 1102 31 number number NN A34005 1102 32 varies vary VBZ A34005 1102 33 not not RB A34005 1102 34 for for IN A34005 1102 35 that that DT A34005 1102 36 declination declination NN A34005 1102 37 , , , A34005 1102 38 and and CC A34005 1102 39 to to IN A34005 1102 40 the the DT A34005 1102 41 Amount Amount NNP A34005 1102 42 add add VB A34005 1102 43 the the DT A34005 1102 44 Logme Logme NNP A34005 1102 45 of of IN A34005 1102 46 the the DT A34005 1102 47 Cosine Cosine NNP A34005 1102 48 of of IN A34005 1102 49 the the DT A34005 1102 50 Equinoctial Equinoctial NNP A34005 1102 51 Altitude Altitude NNP A34005 1102 52 , , , A34005 1102 53 the the DT A34005 1102 54 sum sum NN A34005 1102 55 rejecting reject VBG A34005 1102 56 the the DT A34005 1102 57 Radius Radius NNP A34005 1102 58 is be VBZ A34005 1102 59 the the DT A34005 1102 60 Logarithmical Logarithmical NNP A34005 1102 61 Sine Sine NNP A34005 1102 62 of of IN A34005 1102 63 the the DT A34005 1102 64 4th 4th JJ A34005 1102 65 Ark. Arkansas NNP A34005 1103 1 Sine Sine NNP A34005 1103 2 Latitude Latitude NNP A34005 1103 3 Ar Ar NNP A34005 1103 4 Comp Comp NNP A34005 1103 5 — — : A34005 1103 6 0,1062548 0,1062548 JJ A34005 1103 7 Sine sine JJ A34005 1103 8 declination declination NN A34005 1103 9 — — : A34005 1103 10 9,6009901 9,6009901 NN A34005 1103 11 Sine Sine NNP A34005 1103 12 of of IN A34005 1103 13 55d 55d CD A34005 1103 14 28′ 28′ CD A34005 1103 15 the the DT A34005 1103 16 Complement Complement NNP A34005 1103 17 of of IN A34005 1103 18 Equinoctial Equinoctial NNP A34005 1103 19 Altitude Altitude NNP A34005 1103 20 — — : A34005 1103 21 9,7072449 9,7072449 CD A34005 1103 22 9,9158200 9,9158200 NNP A34005 1103 23 Sine Sine NNP A34005 1103 24 — — : A34005 1103 25 24d 24d NNS A34005 1103 26 49′ 49′ CD A34005 1103 27 — — : A34005 1103 28 9,6230649 9,6230649 NNP A34005 1103 29 Equinoct Equinoct NNP A34005 1103 30 Altitude Altitude NNP A34005 1103 31 — — : A34005 1103 32 34 34 CD A34005 1103 33 32 32 CD A34005 1103 34 Sum Sum NNP A34005 1103 35 — — : A34005 1103 36 59 59 CD A34005 1103 37 21 21 CD A34005 1103 38 Summer Summer NNP A34005 1103 39 Difference Difference NNP A34005 1103 40 — — : A34005 1103 41 9 9 CD A34005 1103 42 43 43 CD A34005 1103 43 Winter Winter NNP A34005 1103 44 Altitude Altitude NNP A34005 1103 45 for for IN A34005 1103 46 that that DT A34005 1103 47 Azimuth Azimuth NNP A34005 1103 48 . . . A34005 1104 1 Another another DT A34005 1104 2 Example example NN A34005 1104 3 : : : A34005 1104 4 The the DT A34005 1104 5 former former JJ A34005 1104 6 Number Number NNP A34005 1104 7 — — : A34005 1104 8 9,7072449 9,7072449 NN A34005 1104 9 Sine Sine NNP A34005 1104 10 78d 78d CD A34005 1104 11 23′ 23′ CD A34005 1104 12 Comp Comp NNP A34005 1104 13 of of IN A34005 1104 14 Equinoct Equinoct NNP A34005 1104 15 9,9910119 9,9910119 NNP A34005 1104 16 Altitude Altitude NNP A34005 1104 17 for for IN A34005 1104 18 15d 15d NNS A34005 1104 19 of of IN A34005 1104 20 Azimuth Azimuth NNP A34005 1104 21 — — : A34005 1104 22 Sine Sine NNP A34005 1104 23 of of IN A34005 1104 24 29d 29d CD A34005 1104 25 57′ 57′ CD A34005 1104 26 — — : A34005 1104 27 9,6982568 9,6982568 NNP A34005 1104 28 Eq Eq NNP A34005 1104 29 Altitude altitude NN A34005 1104 30 11 11 CD A34005 1104 31 37 37 CD A34005 1104 32 Difference difference NN A34005 1104 33 — — : A34005 1104 34 18 18 CD A34005 1104 35 20 20 CD A34005 1104 36 Sum Sum NNP A34005 1104 37 — — : A34005 1104 38 41 41 CD A34005 1104 39 34 34 CD A34005 1104 40 The the DT A34005 1104 41 Summer Summer NNP A34005 1104 42 Altitudes altitude NNS A34005 1104 43 for for IN A34005 1104 44 15d 15d NNS A34005 1104 45 Azimuth azimuth NN A34005 1104 46 each each DT A34005 1104 47 way way NN A34005 1104 48 from from IN A34005 1104 49 the the DT A34005 1104 50 Vertical Vertical NNP A34005 1104 51 to to IN A34005 1104 52 that that DT A34005 1104 53 declination declination NN A34005 1104 54 . . . A34005 1105 1 The the DT A34005 1105 2 Suns Suns NNPS A34005 1105 3 Declination Declination NNP A34005 1105 4 20d 20d NNS A34005 1105 5 North North NNP A34005 1105 6 to to TO A34005 1105 7 find find VB A34005 1105 8 his -PRON- PRP$ A34005 1105 9 Altitudes altitude NNS A34005 1105 10 for for IN A34005 1105 11 15d 15d NNS A34005 1105 12 Azimuth azimuth NN A34005 1105 13 on on IN A34005 1105 14 each each DT A34005 1105 15 side side NN A34005 1105 16 the the DT A34005 1105 17 Vertical Vertical NNP A34005 1105 18 . . . A34005 1106 1 Sine Sine NNP A34005 1106 2 of of IN A34005 1106 3 51d 51d NNS A34005 1106 4 32′ 32′ CD A34005 1106 5 the the DT A34005 1106 6 Latitude Latitude NNP A34005 1106 7 Ar Ar NNP A34005 1106 8 Com Com NNP A34005 1106 9 — — : A34005 1106 10 0,1062548 0,1062548 NNP A34005 1106 11 Sine Sine NNP A34005 1106 12 of of IN A34005 1106 13 20d 20d NNS A34005 1106 14 the the DT A34005 1106 15 declination declination NN A34005 1106 16 — — : A34005 1106 17 9,5340517 9,5340517 NN A34005 1106 18 Sine Sine NNP A34005 1106 19 of of IN A34005 1106 20 78d 78d CD A34005 1106 21 23′ 23′ CD A34005 1106 22 Comp Comp NNP A34005 1106 23 Eq Eq NNP A34005 1106 24 Altitude altitude NN A34005 1106 25 — — : A34005 1106 26 9,9910119 9,9910119 JJ A34005 1106 27 Sine Sine NNP A34005 1106 28 of of IN A34005 1106 29 25d 25d CD A34005 1106 30 20′ 20′ CD A34005 1106 31 — — : A34005 1106 32 9,6313184 9,6313184 NNP A34005 1106 33 Sine Sine NNP A34005 1106 34 of of IN A34005 1106 35 — — : A34005 1106 36 25d 25d CD A34005 1106 37 20′ 20′ CD A34005 1106 38 Eq Eq NNP A34005 1106 39 Altitude altitude NN A34005 1106 40 — — : A34005 1106 41 11 11 CD A34005 1106 42 37 37 CD A34005 1106 43 Difference Difference NNP A34005 1106 44 — — : A34005 1106 45 13 13 CD A34005 1106 46 43 43 CD A34005 1106 47 Sum Sum NNP A34005 1106 48 — — : A34005 1106 49 36 36 CD A34005 1106 50 57 57 CD A34005 1106 51 The the DT A34005 1106 52 Summer Summer NNP A34005 1106 53 Altitudes Altitudes NNPS A34005 1106 54 for for IN A34005 1106 55 15d 15d NNS A34005 1106 56 Azimuth azimuth NN A34005 1106 57 on on IN A34005 1106 58 each each DT A34005 1106 59 side side NN A34005 1106 60 the the DT A34005 1106 61 Vertical Vertical NNP A34005 1106 62 to to IN A34005 1106 63 that that DT A34005 1106 64 Declination declination NN A34005 1106 65 . . . A34005 1107 1 By by IN A34005 1107 2 the the DT A34005 1107 3 Arithmetical Arithmetical NNP A34005 1107 4 Complement Complement NNP A34005 1107 5 of of IN A34005 1107 6 a a DT A34005 1107 7 Number Number NNP A34005 1107 8 is be VBZ A34005 1107 9 meant mean VBN A34005 1107 10 a a DT A34005 1107 11 residue residue NN A34005 1107 12 which which WDT A34005 1107 13 makes make VBZ A34005 1107 14 that that IN A34005 1107 15 first first JJ A34005 1107 16 Number number NN A34005 1107 17 equal equal JJ A34005 1107 18 to to IN A34005 1107 19 the the DT A34005 1107 20 other other JJ A34005 1107 21 : : : A34005 1107 22 And and CC A34005 1107 23 so so RB A34005 1107 24 if if IN A34005 1107 25 from from IN A34005 1107 26 a a DT A34005 1107 27 number number NN A34005 1107 28 or or CC A34005 1107 29 numbers number NNS A34005 1107 30 given give VBN A34005 1107 31 another another DT A34005 1107 32 Number Number NNP A34005 1107 33 is be VBZ A34005 1107 34 to to TO A34005 1107 35 be be VB A34005 1107 36 substracted substracte VBN A34005 1107 37 , , , A34005 1107 38 and and CC A34005 1107 39 instead instead RB A34005 1107 40 thereof thereof IN A34005 1107 41 a a DT A34005 1107 42 third third JJ A34005 1107 43 number number NN A34005 1107 44 added add VBN A34005 1107 45 , , , A34005 1107 46 the the DT A34005 1107 47 totall totall NN A34005 1107 48 shall shall MD A34005 1107 49 be be VB A34005 1107 50 so so RB A34005 1107 51 much much RB A34005 1107 52 encreased encreased JJ A34005 1107 53 more more RBR A34005 1107 54 then then RB A34005 1107 55 it -PRON- PRP A34005 1107 56 should should MD A34005 1107 57 by by IN A34005 1107 58 the the DT A34005 1107 59 sum sum NN A34005 1107 60 made make VBN A34005 1107 61 of of IN A34005 1107 62 the the DT A34005 1107 63 number number NN A34005 1107 64 to to TO A34005 1107 65 be be VB A34005 1107 66 substracted substracte VBN A34005 1107 67 , , , A34005 1107 68 and and CC A34005 1107 69 of of IN A34005 1107 70 that that DT A34005 1107 71 was be VBD A34005 1107 72 added add VBN A34005 1107 73 : : : A34005 1107 74 That that DT A34005 1107 75 is be VBZ A34005 1107 76 to to TO A34005 1107 77 say say VB A34005 1107 78 , , , A34005 1107 79 in in IN A34005 1107 80 this this DT A34005 1107 81 last last JJ A34005 1107 82 Example example NN A34005 1107 83 instead instead RB A34005 1107 84 of of IN A34005 1107 85 substracting substracte VBG A34005 1107 86 the the DT A34005 1107 87 Sine Sine NNP A34005 1107 88 of of IN A34005 1107 89 the the DT A34005 1107 90 Latitude Latitude NNP A34005 1107 91 from from IN A34005 1107 92 another another DT A34005 1107 93 sum sum NN A34005 1107 94 we -PRON- PRP A34005 1107 95 added add VBD A34005 1107 96 the the DT A34005 1107 97 residue residue NN A34005 1107 98 thereof thereof RB A34005 1107 99 , , , A34005 1107 100 being be VBG A34005 1107 101 taken take VBN A34005 1107 102 from from IN A34005 1107 103 Radius Radius NNP A34005 1107 104 thereto thereto NN A34005 1107 105 , , , A34005 1107 106 and and CC A34005 1107 107 so so RB A34005 1107 108 increased increase VBD A34005 1107 109 the the DT A34005 1107 110 Total total NN A34005 1107 111 too too RB A34005 1107 112 much much JJ A34005 1107 113 each each DT A34005 1107 114 time time NN A34005 1107 115 by by IN A34005 1107 116 the the DT A34005 1107 117 Radius Radius NNP A34005 1107 118 , , , A34005 1107 119 which which WDT A34005 1107 120 is be VBZ A34005 1107 121 easily easily RB A34005 1107 122 rejected reject VBN A34005 1107 123 . . . A34005 1108 1 If if IN A34005 1108 2 the the DT A34005 1108 3 Sun Sun NNP A34005 1108 4 or or CC A34005 1108 5 Stars Stars NNPS A34005 1108 6 come come VBP A34005 1108 7 to to IN A34005 1108 8 the the DT A34005 1108 9 Meridian Meridian NNP A34005 1108 10 between between IN A34005 1108 11 the the DT A34005 1108 12 Zenith Zenith NNP A34005 1108 13 and and CC A34005 1108 14 the the DT A34005 1108 15 Elevated Elevated NNP A34005 1108 16 Pole Pole NNP A34005 1108 17 , , , A34005 1108 18 as as IN A34005 1108 19 when when WRB A34005 1108 20 their -PRON- PRP$ A34005 1108 21 Declination declination NN A34005 1108 22 is be VBZ A34005 1108 23 more more JJR A34005 1108 24 then then RB A34005 1108 25 the the DT A34005 1108 26 Latitude Latitude NNP A34005 1108 27 of of IN A34005 1108 28 the the DT A34005 1108 29 place place NN A34005 1108 30 , , , A34005 1108 31 the the DT A34005 1108 32 former former JJ A34005 1108 33 Rule Rule NNP A34005 1108 34 of of IN A34005 1108 35 Calculation Calculation NNP A34005 1108 36 varies vary VBZ A34005 1108 37 not not RB A34005 1108 38 only only RB A34005 1108 39 the the DT A34005 1108 40 sum sum NN A34005 1108 41 of of IN A34005 1108 42 the the DT A34005 1108 43 Equinoctial Equinoctial NNP A34005 1108 44 Altitude Altitude NNP A34005 1108 45 , , , A34005 1108 46 alias alias NNP A34005 1108 47 , , , A34005 1108 48 the the DT A34005 1108 49 fixed fixed JJ A34005 1108 50 Ark Ark NNP A34005 1108 51 , , , A34005 1108 52 and and CC A34005 1108 53 of of IN A34005 1108 54 the the DT A34005 1108 55 Ark Ark NNP A34005 1108 56 found find VBN A34005 1108 57 by by IN A34005 1108 58 the the DT A34005 1108 59 second second JJ A34005 1108 60 Proportion proportion NN A34005 1108 61 will will MD A34005 1108 62 be be VB A34005 1108 63 more more JJR A34005 1108 64 then then IN A34005 1108 65 90 90 CD A34005 1108 66 ● ● NFP A34005 1108 67 In in IN A34005 1108 68 this this DT A34005 1108 69 Case Case NNP A34005 1108 70 the the DT A34005 1108 71 Complement Complement NNP A34005 1108 72 of of IN A34005 1108 73 it -PRON- PRP A34005 1108 74 to to IN A34005 1108 75 180 180 CD A34005 1108 76 d d NN A34005 1108 77 is be VBZ A34005 1108 78 the the DT A34005 1108 79 Altitude altitude NN A34005 1108 80 sought seek VBD A34005 1108 81 . . . A34005 1109 1 A a DT A34005 1109 2 double double JJ A34005 1109 3 Advertisement advertisement NN A34005 1109 4 . . . A34005 1110 1 The the DT A34005 1110 2 Declination declination NN A34005 1110 3 towards towards IN A34005 1110 4 the the DT A34005 1110 5 Elevated Elevated NNP A34005 1110 6 Pole Pole NNP A34005 1110 7 supposed suppose VBD A34005 1110 8 more more JJR A34005 1110 9 then then RB A34005 1110 10 the the DT A34005 1110 11 Latitude Latitude NNP A34005 1110 12 of of IN A34005 1110 13 the the DT A34005 1110 14 place place NN A34005 1110 15 . . . A34005 1111 1 If if IN A34005 1111 2 the the DT A34005 1111 3 Complement Complement NNP A34005 1111 4 of of IN A34005 1111 5 the the DT A34005 1111 6 Declination declination NN A34005 1111 7 be be VB A34005 1111 8 more more JJR A34005 1111 9 then then RB A34005 1111 10 the the DT A34005 1111 11 Latitude Latitude NNP A34005 1111 12 of of IN A34005 1111 13 the the DT A34005 1111 14 place place NN A34005 1111 15 also also RB A34005 1111 16 , , , A34005 1111 17 as as IN A34005 1111 18 in in IN A34005 1111 19 this this DT A34005 1111 20 case case NN A34005 1111 21 it -PRON- PRP A34005 1111 22 always always RB A34005 1111 23 is be VBZ A34005 1111 24 for for IN A34005 1111 25 the the DT A34005 1111 26 Sun Sun NNP A34005 1111 27 ; ; : A34005 1111 28 the the DT A34005 1111 29 Sun Sun NNP A34005 1111 30 or or CC A34005 1111 31 such such JJ A34005 1111 32 Stars star NNS A34005 1111 33 shall shall MD A34005 1111 34 have have VB A34005 1111 35 two two CD A34005 1111 36 Altitudes altitude NNS A34005 1111 37 on on IN A34005 1111 38 every every DT A34005 1111 39 Azimuth azimuth NN A34005 1111 40 between between IN A34005 1111 41 the the DT A34005 1111 42 Coast Coast NNP A34005 1111 43 of of IN A34005 1111 44 rising rise VBG A34005 1111 45 or or CC A34005 1111 46 setting set VBG A34005 1111 47 , , , A34005 1111 48 and and CC A34005 1111 49 the the DT A34005 1111 50 remotest remotest NN A34005 1111 51 Azimuth Azimuth NNP A34005 1111 52 from from IN A34005 1111 53 the the DT A34005 1111 54 Meridian Meridian NNP A34005 1111 55 ; ; : A34005 1111 56 To to TO A34005 1111 57 find find VB A34005 1111 58 what what WP A34005 1111 59 Azimuths azimuth NNS A34005 1111 60 those those DT A34005 1111 61 shall shall MD A34005 1111 62 be be VB A34005 1111 63 , , , A34005 1111 64 As as IN A34005 1111 65 the the DT A34005 1111 66 Cosine Cosine NNP A34005 1111 67 of of IN A34005 1111 68 the the DT A34005 1111 69 Latitude Latitude NNP A34005 1111 70 , , , A34005 1111 71 To to IN A34005 1111 72 Radius Radius NNP A34005 1111 73 ; ; : A34005 1111 74 So so RB A34005 1111 75 is be VBZ A34005 1111 76 the the DT A34005 1111 77 Sine Sine NNP A34005 1111 78 of of IN A34005 1111 79 the the DT A34005 1111 80 Declination declination NN A34005 1111 81 , , , A34005 1111 82 To to IN A34005 1111 83 the the DT A34005 1111 84 Sine Sine NNP A34005 1111 85 of of IN A34005 1111 86 the the DT A34005 1111 87 Amplitude Amplitude NNP A34005 1111 88 , , , A34005 1111 89 And and CC A34005 1111 90 So so RB A34005 1111 91 is be VBZ A34005 1111 92 the the DT A34005 1111 93 Cosine Cosine NNP A34005 1111 94 of of IN A34005 1111 95 the the DT A34005 1111 96 Declination declination NN A34005 1111 97 , , , A34005 1111 98 To to IN A34005 1111 99 the the DT A34005 1111 100 Sine Sine NNP A34005 1111 101 of of IN A34005 1111 102 the the DT A34005 1111 103 remotest remotest NN A34005 1111 104 Azimuth Azimuth NNP A34005 1111 105 from from IN A34005 1111 106 the the DT A34005 1111 107 Meridian Meridian NNP A34005 1111 108 . . . A34005 1112 1 Between between IN A34005 1112 2 the the DT A34005 1112 3 Azimuth Azimuth NNP A34005 1112 4 of of IN A34005 1112 5 rising rise VBG A34005 1112 6 , , , A34005 1112 7 and and CC A34005 1112 8 the the DT A34005 1112 9 remotest remotest NN A34005 1112 10 Azimuth Azimuth NNP A34005 1112 11 , , , A34005 1112 12 the the DT A34005 1112 13 angle angle NN A34005 1112 14 of of IN A34005 1112 15 Position position NN A34005 1112 16 is be VBZ A34005 1112 17 Acute acute JJ A34005 1112 18 , , , A34005 1112 19 afterwards afterwards RB A34005 1112 20 Obtuse Obtuse NNP A34005 1112 21 . . . A34005 1113 1 The the DT A34005 1113 2 Sun Sun NNP A34005 1113 3 upon upon IN A34005 1113 4 the the DT A34005 1113 5 remotest remotest NN A34005 1113 6 Azimuth Azimuth NNP A34005 1113 7 , , , A34005 1113 8 the the DT A34005 1113 9 angle angle NN A34005 1113 10 of of IN A34005 1113 11 Position position NN A34005 1113 12 being be VBG A34005 1113 13 a a DT A34005 1113 14 right right JJ A34005 1113 15 angle angle NN A34005 1113 16 , , , A34005 1113 17 will will MD A34005 1113 18 have have VB A34005 1113 19 but but CC A34005 1113 20 one one CD A34005 1113 21 Altitude altitude NN A34005 1113 22 to to TO A34005 1113 23 find find VB A34005 1113 24 it -PRON- PRP A34005 1113 25 . . . A34005 1114 1 As as IN A34005 1114 2 the the DT A34005 1114 3 Sine Sine NNP A34005 1114 4 of of IN A34005 1114 5 the the DT A34005 1114 6 Declination Declination NNP A34005 1114 7 . . . A34005 1115 1 To to IN A34005 1115 2 Radius Radius NNP A34005 1115 3 ; ; : A34005 1115 4 So so RB A34005 1115 5 is be VBZ A34005 1115 6 the the DT A34005 1115 7 Sine Sine NNP A34005 1115 8 of of IN A34005 1115 9 the the DT A34005 1115 10 Latitude Latitude NNP A34005 1115 11 , , , A34005 1115 12 To to IN A34005 1115 13 the the DT A34005 1115 14 Sine Sine NNP A34005 1115 15 of of IN A34005 1115 16 that that DT A34005 1115 17 Altitude altitude NN A34005 1115 18 . . . A34005 1116 1 Example example NN A34005 1116 2 . . . A34005 1117 1 In in IN A34005 1117 2 North North NNP A34005 1117 3 Latitude Latitude NNP A34005 1117 4 13d 13d NNPS A34005 1117 5 of of IN A34005 1117 6 Barbados Barbados NNP A34005 1117 7 . . . A34005 1118 1 Declination declination NN A34005 1118 2 20 20 CD A34005 1118 3 d d NN A34005 1118 4 North North NNP A34005 1118 5 , , , A34005 1118 6 the the DT A34005 1118 7 Suns Suns NNP A34005 1118 8 Amplitude Amplitude NNP A34005 1118 9 or or CC A34005 1118 10 Coast Coast NNP A34005 1118 11 of of IN A34005 1118 12 rising rise VBG A34005 1118 13 69 69 CD A34005 1118 14 d d CD A34005 1118 15 23′ 23′ CD A34005 1118 16 from from IN A34005 1118 17 the the DT A34005 1118 18 North North NNP A34005 1118 19 , , , A34005 1118 20 or or CC A34005 1118 21 20 20 CD A34005 1118 22 d d NN A34005 1118 23 33′ 33′ CD A34005 1118 24 from from IN A34005 1118 25 the the DT A34005 1118 26 East East NNP A34005 1118 27 Northwards Northwards NNPS A34005 1118 28 , , , A34005 1118 29 and and CC A34005 1118 30 his -PRON- PRP$ A34005 1118 31 remotest remotest NN A34005 1118 32 Azimuth Azimuth NNP A34005 1118 33 from from IN A34005 1118 34 the the DT A34005 1118 35 North North NNP A34005 1118 36 Meridian Meridian NNP A34005 1118 37 74 74 CD A34005 1118 38 d d NNP A34005 1118 39 4 4 CD A34005 1118 40 ● ● CD A34005 1118 41 ′ ′ ADD A34005 1118 42 . . . A34005 1119 1 His -PRON- PRP$ A34005 1119 2 two two CD A34005 1119 3 Altitudes altitude NNS A34005 1119 4 upon upon IN A34005 1119 5 the the DT A34005 1119 6 Azimuth Azimuth NNP A34005 1119 7 of of IN A34005 1119 8 74 74 CD A34005 1119 9 d d NN A34005 1119 10 from from IN A34005 1119 11 the the DT A34005 1119 12 Meridian Meridian NNP A34005 1119 13 27 27 CD A34005 1119 14 d d NNP A34005 1119 15 27′ 27′ CD A34005 1119 16 the the DT A34005 1119 17 lesser less JJR A34005 1119 18 and and CC A34005 1119 19 52 52 CD A34005 1119 20 d d NNP A34005 1119 21 27′ 27′ CD A34005 1119 22 the the DT A34005 1119 23 greater great JJR A34005 1119 24 , , , A34005 1119 25 the the DT A34005 1119 26 fixed fixed JJ A34005 1119 27 Ark Ark NNP A34005 1119 28 found find VBN A34005 1119 29 by by IN A34005 1119 30 the the DT A34005 1119 31 first first JJ A34005 1119 32 Operation operation NN A34005 1119 33 , , , A34005 1119 34 being be VBG A34005 1119 35 — — : A34005 1119 36 50 50 CD A34005 1119 37 d d NN A34005 1119 38 3′ 3′ CD A34005 1119 39 And and CC A34005 1119 40 by by IN A34005 1119 41 the the DT A34005 1119 42 second second JJ A34005 1119 43 Operation Operation NNP A34005 1119 44 the the DT A34005 1119 45 Ark Ark NNP A34005 1119 46 found find VBD A34005 1119 47 is be VBZ A34005 1119 48 — — : A34005 1119 49 77 77 CD A34005 1119 50 30 30 CD A34005 1119 51 Difference difference NN A34005 1119 52 being be VBG A34005 1119 53 the the DT A34005 1119 54 lesser less JJR A34005 1119 55 Altitude altitude NN A34005 1119 56 is be VBZ A34005 1119 57 — — : A34005 1119 58 27 27 CD A34005 1119 59 27 27 CD A34005 1119 60 The the DT A34005 1119 61 sum sum NN A34005 1119 62 127d 127d CD A34005 1119 63 33′ 33′ NNP A34005 1119 64 the the DT A34005 1119 65 Comp Comp NNP A34005 1119 66 to to IN A34005 1119 67 180 180 CD A34005 1119 68 d d NNS A34005 1119 69 being be VBG A34005 1119 70 the the DT A34005 1119 71 greater great JJR A34005 1119 72 Alt Alt NNP A34005 1119 73 is be VBZ A34005 1119 74 52 52 CD A34005 1119 75 27 27 CD A34005 1119 76 Altitude altitude NN A34005 1119 77 on on IN A34005 1119 78 the the DT A34005 1119 79 remotest remotest NN A34005 1119 80 Azimuth azimuth NN A34005 1119 81 — — : A34005 1119 82 41 41 CD A34005 1119 83 07 07 CD A34005 1119 84 Upon upon IN A34005 1119 85 Azimuths azimuth NNS A34005 1119 86 nearer nearer VBP A34005 1119 87 the the DT A34005 1119 88 Meridian Meridian NNP A34005 1119 89 then then RB A34005 1119 90 the the DT A34005 1119 91 Coast Coast NNP A34005 1119 92 of of IN A34005 1119 93 rising rise VBG A34005 1119 94 or or CC A34005 1119 95 setting set VBG A34005 1119 96 , , , A34005 1119 97 it -PRON- PRP A34005 1119 98 need nee MD A34005 1119 99 not not RB A34005 1119 100 be be VB A34005 1119 101 hinted hint VBN A34005 1119 102 that that IN A34005 1119 103 there there EX A34005 1119 104 will will MD A34005 1119 105 be be VB A34005 1119 106 but but CC A34005 1119 107 one one CD A34005 1119 108 Altitude altitude NN A34005 1119 109 . . . A34005 1120 1 The the DT A34005 1120 2 Proportion proportion NN A34005 1120 3 from from IN A34005 1120 4 the the DT A34005 1120 5 5th 5th JJ A34005 1120 6 Case Case NNP A34005 1120 7 of of IN A34005 1120 8 Oblique Oblique NNP A34005 1120 9 Sphoerical Sphoerical NNP A34005 1120 10 Triangles Triangles NNPS A34005 1120 11 to to TO A34005 1120 12 find find VB A34005 1120 13 the the DT A34005 1120 14 Suns Suns NNPS A34005 1120 15 Altitude Altitude NNP A34005 1120 16 on on IN A34005 1120 17 all all DT A34005 1120 18 Azimuths azimuth NNS A34005 1120 19 would would MD A34005 1120 20 be be VB A34005 1120 21 As as IN A34005 1120 22 the the DT A34005 1120 23 Cosine Cosine NNP A34005 1120 24 of of IN A34005 1120 25 the the DT A34005 1120 26 Declination declination NN A34005 1120 27 , , , A34005 1120 28 To to IN A34005 1120 29 the the DT A34005 1120 30 Sine Sine NNP A34005 1120 31 of of IN A34005 1120 32 the the DT A34005 1120 33 Azimuth Azimuth NNP A34005 1120 34 from from IN A34005 1120 35 the the DT A34005 1120 36 Meridian Meridian NNP A34005 1120 37 : : : A34005 1120 38 So so RB A34005 1120 39 is be VBZ A34005 1120 40 the the DT A34005 1120 41 Cosine Cosine NNP A34005 1120 42 of of IN A34005 1120 43 the the DT A34005 1120 44 Latitude Latitude NNP A34005 1120 45 , , , A34005 1120 46 To to IN A34005 1120 47 the the DT A34005 1120 48 Sine Sine NNP A34005 1120 49 of of IN A34005 1120 50 the the DT A34005 1120 51 angle angle NN A34005 1120 52 of of IN A34005 1120 53 Position position NN A34005 1120 54 . . . A34005 1121 1 In in IN A34005 1121 2 such such JJ A34005 1121 3 Cases case NNS A34005 1121 4 when when WRB A34005 1121 5 it -PRON- PRP A34005 1121 6 will will MD A34005 1121 7 be be VB A34005 1121 8 acute acute JJ A34005 1121 9 or or CC A34005 1121 10 obtuse obtuse JJ A34005 1121 11 is be VBZ A34005 1121 12 already already RB A34005 1121 13 defined define VBN A34005 1121 14 , , , A34005 1121 15 and and CC A34005 1121 16 where where WRB A34005 1121 17 two two CD A34005 1121 18 Altitudes altitude NNS A34005 1121 19 are be VBP A34005 1121 20 required require VBN A34005 1121 21 it -PRON- PRP A34005 1121 22 will will MD A34005 1121 23 be be VB A34005 1121 24 both both DT A34005 1121 25 , , , A34005 1121 26 and and CC A34005 1121 27 being be VBG A34005 1121 28 accordingly accordingly RB A34005 1121 29 so so RB A34005 1121 30 made make VBN A34005 1121 31 , , , A34005 1121 32 the the DT A34005 1121 33 Proportion proportion NN A34005 1121 34 to to TO A34005 1121 35 find find VB A34005 1121 36 the the DT A34005 1121 37 Altitudes Altitudes NNPS A34005 1121 38 would would MD A34005 1121 39 be be VB A34005 1121 40 , , , A34005 1121 41 As as IN A34005 1121 42 the the DT A34005 1121 43 sine sine NN A34005 1121 44 of of IN A34005 1121 45 half half PDT A34005 1121 46 the the DT A34005 1121 47 difference difference NN A34005 1121 48 of of IN A34005 1121 49 the the DT A34005 1121 50 Azimuth Azimuth NNP A34005 1121 51 and and CC A34005 1121 52 angle angle NN A34005 1121 53 of of IN A34005 1121 54 Position position NN A34005 1121 55 , , , A34005 1121 56 To to IN A34005 1121 57 the the DT A34005 1121 58 Tangent Tangent NNP A34005 1121 59 of of IN A34005 1121 60 half half PDT A34005 1121 61 the the DT A34005 1121 62 difference difference NN A34005 1121 63 of of IN A34005 1121 64 the the DT A34005 1121 65 Polar Polar NNP A34005 1121 66 distance distance NN A34005 1121 67 and and CC A34005 1121 68 Colatitude Colatitude NNP A34005 1121 69 So so RB A34005 1121 70 the the DT A34005 1121 71 Sine Sine NNP A34005 1121 72 of of IN A34005 1121 73 half half PDT A34005 1121 74 the the DT A34005 1121 75 sum sum NN A34005 1121 76 of of IN A34005 1121 77 the the DT A34005 1121 78 Azimuth Azimuth NNP A34005 1121 79 and and CC A34005 1121 80 angle angle NN A34005 1121 81 of of IN A34005 1121 82 Position position NN A34005 1121 83 , , , A34005 1121 84 To to IN A34005 1121 85 the the DT A34005 1121 86 Tangent tangent NN A34005 1121 87 of of IN A34005 1121 88 half half PDT A34005 1121 89 the the DT A34005 1121 90 Complement Complement NNP A34005 1121 91 of of IN A34005 1121 92 the the DT A34005 1121 93 Altitude altitude NN A34005 1121 94 . . . A34005 1122 1 The the DT A34005 1122 2 Azimuth Azimuth NNP A34005 1122 3 being be VBG A34005 1122 4 an an DT A34005 1122 5 angle angle NN A34005 1122 6 always always RB A34005 1122 7 accounted account VBD A34005 1122 8 from from IN A34005 1122 9 the the DT A34005 1122 10 Midnight Midnight NNP A34005 1122 11 Meridian Meridian NNP A34005 1122 12 ; ; : A34005 1122 13 but but CC A34005 1122 14 the the DT A34005 1122 15 former former JJ A34005 1122 16 Proportion Proportion NNP A34005 1122 17 derived derive VBN A34005 1122 18 from from IN A34005 1122 19 the the DT A34005 1122 20 other other JJ A34005 1122 21 Trigonometry Trigonometry NNP A34005 1122 22 in in IN A34005 1122 23 this this DT A34005 1122 24 Case Case NNP A34005 1122 25 is be VBZ A34005 1122 26 more more RBR A34005 1122 27 speedy speedy JJ A34005 1122 28 . . . A34005 1123 1 Such such JJ A34005 1123 2 Stars star NNS A34005 1123 3 as as IN A34005 1123 4 have have VBP A34005 1123 5 more more JJR A34005 1123 6 Declination declination NN A34005 1123 7 then then RB A34005 1123 8 the the DT A34005 1123 9 Complement Complement NNP A34005 1123 10 of of IN A34005 1123 11 the the DT A34005 1123 12 Latitude Latitude NNP A34005 1123 13 never never RB A34005 1123 14 rise rise VBP A34005 1123 15 nor nor CC A34005 1123 16 set set VBD A34005 1123 17 , , , A34005 1123 18 if if IN A34005 1123 19 their -PRON- PRP$ A34005 1123 20 declination declination NN A34005 1123 21 be be VB A34005 1123 22 also also RB A34005 1123 23 more more JJR A34005 1123 24 then then RB A34005 1123 25 the the DT A34005 1123 26 Latitude Latitude NNP A34005 1123 27 of of IN A34005 1123 28 the the DT A34005 1123 29 place place NN A34005 1123 30 , , , A34005 1123 31 they -PRON- PRP A34005 1123 32 will will MD A34005 1123 33 have have VB A34005 1123 34 two two CD A34005 1123 35 Altitudes altitude NNS A34005 1123 36 upon upon IN A34005 1123 37 every every DT A34005 1123 38 Azimuth Azimuth NNP A34005 1123 39 , , , A34005 1123 40 except except IN A34005 1123 41 the the DT A34005 1123 42 remotest remotest NN A34005 1123 43 from from IN A34005 1123 44 the the DT A34005 1123 45 Meridian Meridian NNP A34005 1123 46 , , , A34005 1123 47 and and CC A34005 1123 48 the the DT A34005 1123 49 Calculation Calculation NNP A34005 1123 50 the the DT A34005 1123 51 same same JJ A34005 1123 52 as as IN A34005 1123 53 before before RB A34005 1123 54 . . . A34005 1124 1 Example example NN A34005 1124 2 for for IN A34005 1124 3 the the DT A34005 1124 4 Latitude Latitude NNP A34005 1124 5 of of IN A34005 1124 6 London London NNP A34005 1124 7 . . . A34005 1125 1 The the DT A34005 1125 2 middlemost middlemost NN A34005 1125 3 in in IN A34005 1125 4 the the DT A34005 1125 5 great great JJ A34005 1125 6 Bears Bears NNPS A34005 1125 7 Rump Rump NNP A34005 1125 8 , , , A34005 1125 9 declination declination NN A34005 1125 10 56d 56d CD A34005 1125 11 45′ 45′ CD A34005 1125 12 , , , A34005 1125 13 The the DT A34005 1125 14 remotest remotest NN A34005 1125 15 Azimuth Azimuth NNP A34005 1125 16 will will MD A34005 1125 17 be be VB A34005 1125 18 61 61 CD A34005 1125 19 d d CD A34005 1125 20 49′ 49′ CD A34005 1125 21 from from IN A34005 1125 22 the the DT A34005 1125 23 Meridian Meridian NNP A34005 1125 24 , , , A34005 1125 25 and and CC A34005 1125 26 the the DT A34005 1125 27 Altitude Altitude NNP A34005 1125 28 thereto thereto NN A34005 1125 29 69 69 CD A34005 1125 30 d d NN A34005 1125 31 26′ 26′ CD A34005 1125 32 . . . A34005 1126 1 If if IN A34005 1126 2 that that DT A34005 1126 3 Star Star NNP A34005 1126 4 have have VBP A34005 1126 5 30 30 CD A34005 1126 6 d d NN A34005 1126 7 of of IN A34005 1126 8 Azimuth Azimuth NNP A34005 1126 9 from from IN A34005 1126 10 the the DT A34005 1126 11 Meridian Meridian NNP A34005 1126 12 , , , A34005 1126 13 The the DT A34005 1126 14 first first JJ A34005 1126 15 ark ark NN A34005 1126 16 will will MD A34005 1126 17 be be VB A34005 1126 18 34 34 CD A34005 1126 19 d d NN A34005 1126 20 22′ 22′ CD A34005 1126 21 difference difference NN A34005 1126 22 being be VBG A34005 1126 23 the the DT A34005 1126 24 lesser less JJR A34005 1126 25 Alt Alt NNP A34005 1126 26 27 27 CD A34005 1126 27 ● ● . A34005 1126 28 7′ 7′ CD A34005 1126 29 The the DT A34005 1126 30 second second JJ A34005 1126 31 ark ark NN A34005 1126 32 — — : A34005 1126 33 61 61 CD A34005 1126 34 39 39 CD A34005 1126 35 difference difference NN A34005 1126 36 being be VBG A34005 1126 37 the the DT A34005 1126 38 lesser less JJR A34005 1126 39 Alt Alt NNP A34005 1126 40 27 27 CD A34005 1126 41 ● ● . A34005 1126 42 7′ 7′ CD A34005 1126 43 Sum Sum NNP A34005 1126 44 — — : A34005 1126 45 96 96 CD A34005 1126 46 11 11 CD A34005 1126 47 Comp comp NN A34005 1126 48 the the DT A34005 1126 49 greater great JJR A34005 1126 50 Altitude altitude NN A34005 1126 51 — — : A34005 1126 52 83 83 CD A34005 1126 53 49 49 CD A34005 1126 54 This this DT A34005 1126 55 will will MD A34005 1126 56 be be VB A34005 1126 57 very very RB A34005 1126 58 evident evident JJ A34005 1126 59 on on IN A34005 1126 60 a a DT A34005 1126 61 Globe Globe NNP A34005 1126 62 for for IN A34005 1126 63 having have VBG A34005 1126 64 rectified rectify VBD A34005 1126 65 it -PRON- PRP A34005 1126 66 to to IN A34005 1126 67 the the DT A34005 1126 68 Latitude Latitude NNP A34005 1126 69 extend extend VB A34005 1126 70 a a DT A34005 1126 71 Thread thread NN A34005 1126 72 from from IN A34005 1126 73 the the DT A34005 1126 74 Zenith Zenith NNP A34005 1126 75 over over IN A34005 1126 76 the the DT A34005 1126 77 Azimuth Azimuth NNP A34005 1126 78 in in IN A34005 1126 79 the the DT A34005 1126 80 Horizon Horizon NNP A34005 1126 81 , , , A34005 1126 82 then then RB A34005 1126 83 turn turn VB A34005 1126 84 the the DT A34005 1126 85 Globe Globe NNP A34005 1126 86 round round NN A34005 1126 87 , , , A34005 1126 88 and and CC A34005 1126 89 such such JJ A34005 1126 90 Stars star NNS A34005 1126 91 as as RB A34005 1126 92 have have VBP A34005 1126 93 a a DT A34005 1126 94 more more RBR A34005 1126 95 utmost utmost JJ A34005 1126 96 remote remote JJ A34005 1126 97 Azimuth Azimuth NNP A34005 1126 98 from from IN A34005 1126 99 the the DT A34005 1126 100 Meridian Meridian NNP A34005 1126 101 , , , A34005 1126 102 and and CC A34005 1126 103 do do VBP A34005 1126 104 not not RB A34005 1126 105 rise rise VB A34005 1126 106 or or CC A34005 1126 107 set set VB A34005 1126 108 will will MD A34005 1126 109 pass pass VB A34005 1126 110 twice twice RB A34005 1126 111 under under IN A34005 1126 112 the the DT A34005 1126 113 Thread Thread NNP A34005 1126 114 , , , A34005 1126 115 the the DT A34005 1126 116 Azimuth Azimuth NNP A34005 1126 117 Latitude Latitude NNP A34005 1126 118 and and CC A34005 1126 119 Declination Declination NNP A34005 1126 120 being be VBG A34005 1126 121 assigned assign VBN A34005 1126 122 if if IN A34005 1126 123 it -PRON- PRP A34005 1126 124 were be VBD A34005 1126 125 required require VBN A34005 1126 126 to to TO A34005 1126 127 know know VB A34005 1126 128 the the DT A34005 1126 129 time time NN A34005 1126 130 when when WRB A34005 1126 131 the the DT A34005 1126 132 Star Star NNP A34005 1126 133 shall shall MD A34005 1126 134 be be VB A34005 1126 135 twice twice RB A34005 1126 136 on on IN A34005 1126 137 the the DT A34005 1126 138 same same JJ A34005 1126 139 Azimuth Azimuth NNP A34005 1126 140 it -PRON- PRP A34005 1126 141 may may MD A34005 1126 142 be be VB A34005 1126 143 found find VBN A34005 1126 144 without without IN A34005 1126 145 finding find VBG A34005 1126 146 the the DT A34005 1126 147 Altitudes Altitudes NNPS A34005 1126 148 first first RB A34005 1126 149 by by IN A34005 1126 150 6 6 CD A34005 1126 151 ● ● SYM A34005 1126 152 h h NN A34005 1126 153 Case case NN A34005 1126 154 of of IN A34005 1126 155 Oblique Oblique NNP A34005 1126 156 Spherical Spherical NNP A34005 1126 157 Triangles Triangles NNPS A34005 1126 158 , , , A34005 1126 159 As as IN A34005 1126 160 before before RB A34005 1126 161 get get VBP A34005 1126 162 the the DT A34005 1126 163 angle angle NN A34005 1126 164 of of IN A34005 1126 165 Position position NN A34005 1126 166 . . . A34005 1127 1 As as IN A34005 1127 2 the the DT A34005 1127 3 Sine Sine NNP A34005 1127 4 of of IN A34005 1127 5 half half PDT A34005 1127 6 the the DT A34005 1127 7 difference difference NN A34005 1127 8 of of IN A34005 1127 9 the the DT A34005 1127 10 Complement Complement NNP A34005 1127 11 of of IN A34005 1127 12 the the DT A34005 1127 13 Latitude Latitude NNP A34005 1127 14 , , , A34005 1127 15 and and CC A34005 1127 16 of of IN A34005 1127 17 the the DT A34005 1127 18 Complement Complement NNP A34005 1127 19 of of IN A34005 1127 20 the the DT A34005 1127 21 declination declination NN A34005 1127 22 . . . A34005 1128 1 To to IN A34005 1128 2 the the DT A34005 1128 3 Sine Sine NNP A34005 1128 4 of of IN A34005 1128 5 half half PDT A34005 1128 6 their -PRON- PRP$ A34005 1128 7 sum sum NN A34005 1128 8 : : : A34005 1128 9 So so CC A34005 1128 10 the the DT A34005 1128 11 Tangent Tangent NNP A34005 1128 12 of of IN A34005 1128 13 half half PDT A34005 1128 14 the the DT A34005 1128 15 difference difference NN A34005 1128 16 of of IN A34005 1128 17 the the DT A34005 1128 18 Azimuth Azimuth NNP A34005 1128 19 from from IN A34005 1128 20 the the DT A34005 1128 21 Meridian Meridian NNP A34005 1128 22 , , , A34005 1128 23 and and CC A34005 1128 24 of of IN A34005 1128 25 the the DT A34005 1128 26 angle angle NN A34005 1128 27 of of IN A34005 1128 28 Position position NN A34005 1128 29 , , , A34005 1128 30 To to IN A34005 1128 31 the the DT A34005 1128 32 Cotangent Cotangent NNP A34005 1128 33 of of IN A34005 1128 34 half half PDT A34005 1128 35 the the DT A34005 1128 36 hour hour NN A34005 1128 37 from from IN A34005 1128 38 the the DT A34005 1128 39 Meridian Meridian NNP A34005 1128 40 , , , A34005 1128 41 to to TO A34005 1128 42 be be VB A34005 1128 43 converted convert VBN A34005 1128 44 into into IN A34005 1128 45 common common JJ A34005 1128 46 time time NN A34005 1128 47 if if IN A34005 1128 48 it -PRON- PRP A34005 1128 49 relate relate VBP A34005 1128 50 to to IN A34005 1128 51 Stars star NNS A34005 1128 52 : : : A34005 1128 53 In in IN A34005 1128 54 each each DT A34005 1128 55 Proportion proportion NN A34005 1128 56 there there EX A34005 1128 57 is be VBZ A34005 1128 58 two two CD A34005 1128 59 fixed fix VBN A34005 1128 60 Tearms tearm NNS A34005 1128 61 . . . A34005 1129 1 The the DT A34005 1129 2 Illustration illustration NN A34005 1129 3 how how WRB A34005 1129 4 these these DT A34005 1129 5 two two CD A34005 1129 6 fixed fix VBN A34005 1129 7 Arks Arks NNP A34005 1129 8 are be VBP A34005 1129 9 obtained obtain VBN A34005 1129 10 , , , A34005 1129 11 is be VBZ A34005 1129 12 evident evident JJ A34005 1129 13 from from IN A34005 1129 14 the the DT A34005 1129 15 Analemma Analemma NNP A34005 1129 16 in in IN A34005 1129 17 the the DT A34005 1129 18 Scheme Scheme NNP A34005 1129 19 annexed annexed NNS A34005 1129 20 . . . A34005 1130 1 AE AE NNP A34005 1130 2 E e NN A34005 1130 3 represents represent VBZ A34005 1130 4 the the DT A34005 1130 5 Equator equator NN A34005 1130 6 . . . A34005 1131 1 H h NN A34005 1131 2 K k NN A34005 1131 3 the the DT A34005 1131 4 Horison Horison NNP A34005 1131 5 , , , A34005 1131 6 P p NN A34005 1131 7 T t NN A34005 1131 8 the the DT A34005 1131 9 Axis Axis NNP A34005 1131 10 , , , A34005 1131 11 Z z NN A34005 1131 12 N N NNP A34005 1131 13 the the DT A34005 1131 14 Prime Prime NNP A34005 1131 15 , , , A34005 1131 16 Vertical vertical JJ A34005 1131 17 S S NNP A34005 1131 18 D d NN A34005 1131 19 a a DT A34005 1131 20 Parralel Parralel NNP A34005 1131 21 of of IN A34005 1131 22 North North NNP A34005 1131 23 declination declination NN A34005 1131 24 , , , A34005 1131 25 ☉ ☉ NNP A34005 1131 26 another another DT A34005 1131 27 of of IN A34005 1131 28 South South NNP A34005 1131 29 , , , A34005 1131 30 declination declination NN A34005 1131 31 , , , A34005 1131 32 P p NN A34005 1131 33 S S NNP A34005 1131 34 ☉ ☉ NNS A34005 1131 35 and and CC A34005 1131 36 P p NN A34005 1131 37 A A NNP A34005 1131 38 N N NNP A34005 1131 39 the the DT A34005 1131 40 Arks ark NNS A34005 1131 41 of of IN A34005 1131 42 two two CD A34005 1131 43 hours hour NNS A34005 1131 44 Circles circle NNS A34005 1131 45 between between IN A34005 1131 46 six six CD A34005 1131 47 and and CC A34005 1131 48 noon noon NN A34005 1131 49 , , , A34005 1131 50 and and CC A34005 1131 51 P p NN A34005 1131 52 D d NN A34005 1131 53 T t NN A34005 1131 54 another another DT A34005 1131 55 before before IN A34005 1131 56 6 6 CD A34005 1131 57 . . . A34005 1132 1 In in IN A34005 1132 2 the the DT A34005 1132 3 Triangle Triangle NNP A34005 1132 4 E E NNP A34005 1132 5 L L NNP A34005 1132 6 B B NNP A34005 1132 7 right right RB A34005 1132 8 angled angle VBD A34005 1132 9 , , , A34005 1132 10 there there EX A34005 1132 11 is be VBZ A34005 1132 12 given give VBN A34005 1132 13 the the DT A34005 1132 14 angle angle NN A34005 1132 15 at at IN A34005 1132 16 E e NN A34005 1132 17 , , , A34005 1132 18 the the DT A34005 1132 19 Complement Complement NNP A34005 1132 20 of of IN A34005 1132 21 the the DT A34005 1132 22 Latitude Latitude NNP A34005 1132 23 , , , A34005 1132 24 the the DT A34005 1132 25 side side NN A34005 1132 26 E e NN A34005 1132 27 L l NN A34005 1132 28 the the DT A34005 1132 29 hour hour NN A34005 1132 30 from from IN A34005 1132 31 6 6 CD A34005 1132 32 , , , A34005 1132 33 with with IN A34005 1132 34 the the DT A34005 1132 35 right right JJ A34005 1132 36 angle angle NN A34005 1132 37 at at IN A34005 1132 38 L L NNP A34005 1132 39 to to TO A34005 1132 40 find find VB A34005 1132 41 the the DT A34005 1132 42 side side NN A34005 1132 43 L L NNP A34005 1132 44 B B NNP A34005 1132 45 the the DT A34005 1132 46 ark ark NN A34005 1132 47 of of IN A34005 1132 48 the the DT A34005 1132 49 hour hour NN A34005 1132 50 Circle Circle NNP A34005 1132 51 contained contain VBD A34005 1132 52 between between IN A34005 1132 53 the the DT A34005 1132 54 Equinoctial Equinoctial NNP A34005 1132 55 and and CC A34005 1132 56 the the DT A34005 1132 57 Horzion Horzion NNP A34005 1132 58 by by IN A34005 1132 59 11th 11th JJ A34005 1132 60 Case case NN A34005 1132 61 of of IN A34005 1132 62 right right RB A34005 1132 63 angled angle VBN A34005 1132 64 Sphoerical Sphoerical NNP A34005 1132 65 Triangles Triangles NNPS A34005 1132 66 , , , A34005 1132 67 the the DT A34005 1132 68 Proportion proportion NN A34005 1132 69 will will MD A34005 1132 70 be be VB A34005 1132 71 , , , A34005 1132 72 As as IN A34005 1132 73 AE AE NNP A34005 1132 74 E E NNP A34005 1132 75 Radius radius NN A34005 1132 76 , , , A34005 1132 77 To to IN A34005 1132 78 AE AE NNP A34005 1132 79 H H NNP A34005 1132 80 Cotangent Cotangent NNP A34005 1132 81 Latitude Latitude NNP A34005 1132 82 : : : A34005 1132 83 So so CC A34005 1132 84 E E NNP A34005 1132 85 L L NNP A34005 1132 86 Sine Sine NNP A34005 1132 87 of of IN A34005 1132 88 the the DT A34005 1132 89 hour hour NN A34005 1132 90 from from IN A34005 1132 91 6 6 CD A34005 1132 92 , , , A34005 1132 93 To to IN A34005 1132 94 L l NN A34005 1132 95 B B NNP A34005 1132 96 The the DT A34005 1132 97 Tangent Tangent NNP A34005 1132 98 of of IN A34005 1132 99 the the DT A34005 1132 100 said say VBN A34005 1132 101 Ark. Arkansas NNP A34005 1133 1 From from IN A34005 1133 2 Z Z NNP A34005 1133 3 draw draw VB A34005 1133 4 the the DT A34005 1133 5 Arches Arches NNP A34005 1133 6 Z Z NNP A34005 1133 7 S S NNP A34005 1133 8 and and CC A34005 1133 9 Z Z NNP A34005 1133 10 ☉ ☉ NNS A34005 1133 11 ( ( -LRB- A34005 1133 12 being be VBG A34005 1133 13 Ellipses ellipsis NNS A34005 1133 14 ) ) -RRB- A34005 1133 15 through through IN A34005 1133 16 the the DT A34005 1133 17 Points Points NNPS A34005 1133 18 where where WRB A34005 1133 19 the the DT A34005 1133 20 Hour Hour NNP A34005 1133 21 Circle Circle NNP A34005 1133 22 , , , A34005 1133 23 and and CC A34005 1133 24 Parralels Parralels NNPS A34005 1133 25 of of IN A34005 1133 26 Declination Declination NNP A34005 1133 27 intersect intersect NN A34005 1133 28 , , , A34005 1133 29 and and CC A34005 1133 30 they -PRON- PRP A34005 1133 31 represent represent VBP A34005 1133 32 the the DT A34005 1133 33 Complements Complements NNPS A34005 1133 34 of of IN A34005 1133 35 the the DT A34005 1133 36 Altitudes altitude NNS A34005 1133 37 sought seek VBD A34005 1133 38 , , , A34005 1133 39 and and CC A34005 1133 40 let let VB A34005 1133 41 fall fall VB A34005 1133 42 a a DT A34005 1133 43 Perpendicular Perpendicular NNP A34005 1133 44 from from IN A34005 1133 45 Z z NN A34005 1133 46 to to IN A34005 1133 47 R r NN A34005 1133 48 , , , A34005 1133 49 then then RB A34005 1133 50 will will MD A34005 1133 51 P p NN A34005 1133 52 R r NN A34005 1133 53 be be VB A34005 1133 54 equal equal JJ A34005 1133 55 to to IN A34005 1133 56 L L NNP A34005 1133 57 B B NNP A34005 1133 58 , , , A34005 1133 59 because because IN A34005 1133 60 the the DT A34005 1133 61 Proportion Proportion NNP A34005 1133 62 above above RB A34005 1133 63 is be VBZ A34005 1133 64 the the DT A34005 1133 65 same same JJ A34005 1133 66 that that WDT A34005 1133 67 would would MD A34005 1133 68 Calculate calculate VB A34005 1133 69 R r NN A34005 1133 70 P p NN A34005 1133 71 ; ; : A34005 1133 72 Which which WDT A34005 1133 73 substracted substracte VBD A34005 1133 74 from from IN A34005 1133 75 P p NN A34005 1133 76 S s NN A34005 1133 77 or or CC A34005 1133 78 P p NN A34005 1133 79 ☉ ☉ NNS A34005 1133 80 the the DT A34005 1133 81 Suns Suns NNP A34005 1133 82 distance distance NN A34005 1133 83 in in IN A34005 1133 84 Summer Summer NNP A34005 1133 85 or or CC A34005 1133 86 Winter Winter NNP A34005 1133 87 from from IN A34005 1133 88 the the DT A34005 1133 89 Elevated Elevated NNP A34005 1133 90 Pole Pole NNP A34005 1133 91 rests rest VBZ A34005 1133 92 R R NNP A34005 1133 93 S s NN A34005 1133 94 or or CC A34005 1133 95 R r NN A34005 1133 96 ☉ ☉ NNS A34005 1133 97 : : : A34005 1133 98 Now now RB A34005 1133 99 in in IN A34005 1133 100 an an DT A34005 1133 101 Oblique Oblique NNP A34005 1133 102 Spherical Spherical NNP A34005 1133 103 Triangle Triangle NNP A34005 1133 104 reduced reduce VBN A34005 1133 105 to to IN A34005 1133 106 two two CD A34005 1133 107 right right NN A34005 1133 108 angled angle VBN A34005 1133 109 Triangles Triangles NNP A34005 1133 110 by by IN A34005 1133 111 the the DT A34005 1133 112 Demission Demission NNP A34005 1133 113 of of IN A34005 1133 114 a a DT A34005 1133 115 Perpendicular Perpendicular NNP A34005 1133 116 , , , A34005 1133 117 the the DT A34005 1133 118 Cosines Cosines NNPS A34005 1133 119 of of IN A34005 1133 120 the the DT A34005 1133 121 Bases Bases NNPS A34005 1133 122 are be VBP A34005 1133 123 in in IN A34005 1133 124 direct direct JJ A34005 1133 125 Proportion proportion NN A34005 1133 126 to to IN A34005 1133 127 the the DT A34005 1133 128 Cosines Cosines NNPS A34005 1133 129 of of IN A34005 1133 130 the the DT A34005 1133 131 Hipotenusals Hipotenusals NNP A34005 1133 132 a a DT A34005 1133 133 consequence consequence NN A34005 1133 134 derived derive VBN A34005 1133 135 from from IN A34005 1133 136 the the DT A34005 1133 137 general general JJ A34005 1133 138 Axiom Axiom NNP A34005 1133 139 of of IN A34005 1133 140 the the DT A34005 1133 141 Lord Lord NNP A34005 1133 142 Napier Napier NNP A34005 1133 143 , , , A34005 1133 144 and and CC A34005 1133 145 therefore therefore RB A34005 1133 146 it -PRON- PRP A34005 1133 147 holds hold VBZ A34005 1133 148 , , , A34005 1133 149 As as IN A34005 1133 150 the the DT A34005 1133 151 Cosine Cosine NNP A34005 1133 152 of of IN A34005 1133 153 the the DT A34005 1133 154 Ark Ark NNP A34005 1133 155 R R NNP A34005 1133 156 P P NNP A34005 1133 157 , , , A34005 1133 158 or or CC A34005 1133 159 B B NNP A34005 1133 160 L L NNP A34005 1133 161 , , , A34005 1133 162 that that IN A34005 1133 163 we -PRON- PRP A34005 1133 164 call call VBP A34005 1133 165 the the DT A34005 1133 166 common common JJ A34005 1133 167 fixed fix VBN A34005 1133 168 ark ark NN A34005 1133 169 , , , A34005 1133 170 Is be VBZ A34005 1133 171 to to IN A34005 1133 172 the the DT A34005 1133 173 Sine Sine NNP A34005 1133 174 of of IN A34005 1133 175 the the DT A34005 1133 176 Latitude Latitude NNP A34005 1133 177 , , , A34005 1133 178 the the DT A34005 1133 179 Complement Complement NNP A34005 1133 180 of of IN A34005 1133 181 Z Z NNP A34005 1133 182 P p NN A34005 1133 183 : : : A34005 1133 184 So so CC A34005 1133 185 the the DT A34005 1133 186 Cosine Cosine NNP A34005 1133 187 of of IN A34005 1133 188 the the DT A34005 1133 189 Ark Ark NNP A34005 1133 190 remaining remain VBG A34005 1133 191 , , , A34005 1133 192 that that DT A34005 1133 193 is be VBZ A34005 1133 194 the the DT A34005 1133 195 Complement Complement NNP A34005 1133 196 of of IN A34005 1133 197 R R NNP A34005 1133 198 S S NNP A34005 1133 199 or or CC A34005 1133 200 S S NNP A34005 1133 201 O O NNP A34005 1133 202 , , , A34005 1133 203 To to IN A34005 1133 204 the the DT A34005 1133 205 Sine Sine NNP A34005 1133 206 of of IN A34005 1133 207 the the DT A34005 1133 208 Altitude altitude NN A34005 1133 209 , , , A34005 1133 210 the the DT A34005 1133 211 Complement Complement NNP A34005 1133 212 of of IN A34005 1133 213 Z Z NNP A34005 1133 214 S S NNP A34005 1133 215 or or CC A34005 1133 216 Z Z NNP A34005 1133 217 ☉ ☉ NNS A34005 1133 218 : : : A34005 1133 219 This this DT A34005 1133 220 for for IN A34005 1133 221 all all DT A34005 1133 222 hours hour NNS A34005 1133 223 under under IN A34005 1133 224 90 90 CD A34005 1133 225 ● ● NFP A34005 1133 226 from from IN A34005 1133 227 the the DT A34005 1133 228 Meridian Meridian NNP A34005 1133 229 , , , A34005 1133 230 but but CC A34005 1133 231 for for IN A34005 1133 232 those those DT A34005 1133 233 before before IN A34005 1133 234 or or CC A34005 1133 235 after after IN A34005 1133 236 6 6 CD A34005 1133 237 in in IN A34005 1133 238 the the DT A34005 1133 239 Summer summer NN A34005 1133 240 it -PRON- PRP A34005 1133 241 may may MD A34005 1133 242 be be VB A34005 1133 243 observed observe VBN A34005 1133 244 in in IN A34005 1133 245 the the DT A34005 1133 246 opposite opposite JJ A34005 1133 247 Triangles Triangles NNP A34005 1133 248 E E NNP A34005 1133 249 A a NN A34005 1133 250 N n NN A34005 1133 251 and and CC A34005 1133 252 E e NN A34005 1133 253 A a NN A34005 1133 254 I i NN A34005 1133 255 , , , A34005 1133 256 counting count VBG A34005 1133 257 the the DT A34005 1133 258 hour hour NN A34005 1133 259 E e NN A34005 1133 260 A a DT A34005 1133 261 each each DT A34005 1133 262 way way NN A34005 1133 263 from from IN A34005 1133 264 6 6 CD A34005 1133 265 that that IN A34005 1133 266 the the DT A34005 1133 267 Ark Ark NNP A34005 1133 268 of of IN A34005 1133 269 the the DT A34005 1133 270 hour hour NN A34005 1133 271 Circle Circle NNP A34005 1133 272 A A NNP A34005 1133 273 N N NNP A34005 1133 274 equal equal JJ A34005 1133 275 to to IN A34005 1133 276 A a NN A34005 1133 277 I i NN A34005 1133 278 , , , A34005 1133 279 as as RB A34005 1133 280 much much RB A34005 1133 281 as as IN A34005 1133 282 it -PRON- PRP A34005 1133 283 is be VBZ A34005 1133 284 above above IN A34005 1133 285 the the DT A34005 1133 286 Horizon Horizon NNP A34005 1133 287 in in IN A34005 1133 288 Winter Winter NNP A34005 1133 289 , , , A34005 1133 290 so so RB A34005 1133 291 much much JJ A34005 1133 292 is be VBZ A34005 1133 293 it -PRON- PRP A34005 1133 294 below below IN A34005 1133 295 the the DT A34005 1133 296 same same JJ A34005 1133 297 in in IN A34005 1133 298 Summer Summer NNP A34005 1133 299 , , , A34005 1133 300 and and CC A34005 1133 301 the the DT A34005 1133 302 Suns Suns NNP A34005 1133 303 distance distance NN A34005 1133 304 from from IN A34005 1133 305 the the DT A34005 1133 306 Elevated Elevated NNP A34005 1133 307 Pole Pole NNP A34005 1133 308 then then RB A34005 1133 309 equal equal JJ A34005 1133 310 to to IN A34005 1133 311 his -PRON- PRP$ A34005 1133 312 distance distance NN A34005 1133 313 from from IN A34005 1133 314 the the DT A34005 1133 315 Depressed Depressed NNP A34005 1133 316 Pole Pole NNP A34005 1133 317 now now RB A34005 1133 318 : : : A34005 1133 319 and and CC A34005 1133 320 the the DT A34005 1133 321 Zenith Zenith NNP A34005 1133 322 distance distance NN A34005 1133 323 then then RB A34005 1133 324 equal equal JJ A34005 1133 325 to to IN A34005 1133 326 the the DT A34005 1133 327 Nader Nader NNP A34005 1133 328 distance distance NN A34005 1133 329 now now RB A34005 1133 330 , , , A34005 1133 331 as as IN A34005 1133 332 is be VBZ A34005 1133 333 evident evident JJ A34005 1133 334 in in IN A34005 1133 335 the the DT A34005 1133 336 Triangle Triangle NNP A34005 1133 337 T T NNP A34005 1133 338 N N NNP A34005 1133 339 D. D. NNP A34005 1133 340 So so IN A34005 1133 341 that that IN A34005 1133 342 in in IN A34005 1133 343 this this DT A34005 1133 344 Case Case NNP A34005 1133 345 the the DT A34005 1133 346 Sun Sun NNP A34005 1133 347 is be VBZ A34005 1133 348 only only RB A34005 1133 349 supposed suppose VBN A34005 1133 350 to to TO A34005 1133 351 have have VB A34005 1133 352 Winter winter NN A34005 1133 353 instead instead RB A34005 1133 354 of of IN A34005 1133 355 Summer Summer NNP A34005 1133 356 Declination Declination NNP A34005 1133 357 , , , A34005 1133 358 and and CC A34005 1133 359 the the DT A34005 1133 360 Rule Rule NNP A34005 1133 361 for for IN A34005 1133 362 Calculating calculate VBG A34005 1133 363 his -PRON- PRP$ A34005 1133 364 Altitude altitude NN A34005 1133 365 the the DT A34005 1133 366 same same JJ A34005 1133 367 as as IN A34005 1133 368 for for IN A34005 1133 369 Winter Winter NNP A34005 1133 370 Altitudes Altitudes NNPS A34005 1133 371 . . . A34005 1134 1 In in IN A34005 1134 2 like like JJ A34005 1134 3 manner manner NN A34005 1134 4 for for IN A34005 1134 5 the the DT A34005 1134 6 Azimuth Azimuth NNP A34005 1134 7 . . . A34005 1135 1 In in IN A34005 1135 2 the the DT A34005 1135 3 Schem Schem NNP A34005 1135 4 following follow VBG A34005 1135 5 H h NN A34005 1135 6 Q Q NNP A34005 1135 7 represents represent VBZ A34005 1135 8 the the DT A34005 1135 9 Horizon Horizon NNP A34005 1135 10 , , , A34005 1135 11 AE AE NNP A34005 1135 12 F F NNP A34005 1135 13 the the DT A34005 1135 14 Equator equator NN A34005 1135 15 , , , A34005 1135 16 S S NNP A34005 1135 17 G g NN A34005 1135 18 a a DT A34005 1135 19 Parralel Parralel NNP A34005 1135 20 of of IN A34005 1135 21 Summer summer NN A34005 1135 22 declination declination NN A34005 1135 23 , , , A34005 1135 24 and and CC A34005 1135 25 another another DT A34005 1135 26 passing passing NN A34005 1135 27 through through IN A34005 1135 28 M M NNP A34005 1135 29 of of IN A34005 1135 30 Winter Winter NNP A34005 1135 31 declination declination NN A34005 1135 32 , , , A34005 1135 33 Z Z NNP A34005 1135 34 S S NNP A34005 1135 35 L L NNP A34005 1135 36 and and CC A34005 1135 37 Z Z NNP A34005 1135 38 N N NNP A34005 1135 39 A A NNP A34005 1135 40 two two CD A34005 1135 41 Azimuths azimuth NNS A34005 1135 42 between between IN A34005 1135 43 the the DT A34005 1135 44 Vertical Vertical NNP A34005 1135 45 and and CC A34005 1135 46 Noon Noon NNP A34005 1135 47 Meridian Meridian NNP A34005 1135 48 , , , A34005 1135 49 Z Z NNP A34005 1135 50 K k NN A34005 1135 51 I i NN A34005 1135 52 N n CC A34005 1135 53 another another DT A34005 1135 54 between between IN A34005 1135 55 it -PRON- PRP A34005 1135 56 and and CC A34005 1135 57 the the DT A34005 1135 58 Midnight Midnight NNP A34005 1135 59 Meridian Meridian NNP A34005 1135 60 , , , A34005 1135 61 from from IN A34005 1135 62 the the DT A34005 1135 63 Points Points NNPS A34005 1135 64 S S NNP A34005 1135 65 M M NNP A34005 1135 66 I -PRON- PRP A34005 1135 67 let let VBD A34005 1135 68 fall fall VB A34005 1135 69 the the DT A34005 1135 70 Perpendiculars perpendicular NNS A34005 1135 71 S S NNP A34005 1135 72 D d NN A34005 1135 73 , , , A34005 1135 74 M m NN A34005 1135 75 O o UH A34005 1135 76 , , , A34005 1135 77 I -PRON- PRP A34005 1135 78 G g VBP A34005 1135 79 representing represent VBG A34005 1135 80 the the DT A34005 1135 81 ☉ ☉ NNP A34005 1135 82 Declination Declination NNP A34005 1135 83 in in IN A34005 1135 84 the the DT A34005 1135 85 Ellipses Ellipses NNP A34005 1135 86 of of IN A34005 1135 87 several several JJ A34005 1135 88 hour hour NN A34005 1135 89 Circles circle NNS A34005 1135 90 ; ; : A34005 1135 91 So so CC A34005 1135 92 will will MD A34005 1135 93 L L NNP A34005 1135 94 S S NNP A34005 1135 95 , , , A34005 1135 96 M M NNP A34005 1135 97 L L NNP A34005 1135 98 , , , A34005 1135 99 A A NNP A34005 1135 100 K K NNP A34005 1135 101 , , , A34005 1135 102 represent represent VB A34005 1135 103 the the DT A34005 1135 104 Altitudes altitude NNS A34005 1135 105 of of IN A34005 1135 106 these these DT A34005 1135 107 3 3 CD A34005 1135 108 Azimuths azimuth NNS A34005 1135 109 respectively respectively RB A34005 1135 110 , , , A34005 1135 111 according accord VBG A34005 1135 112 to to IN A34005 1135 113 the the DT A34005 1135 114 proper proper JJ A34005 1135 115 Declination declination NN A34005 1135 116 , , , A34005 1135 117 for for IN A34005 1135 118 the the DT A34005 1135 119 finding finding NN A34005 1135 120 whereof whereof NN A34005 1135 121 there there EX A34005 1135 122 is be VBZ A34005 1135 123 given give VBN A34005 1135 124 in in IN A34005 1135 125 the the DT A34005 1135 126 Triangle Triangle NNP A34005 1135 127 E E NNP A34005 1135 128 L L NNP A34005 1135 129 B B NNP A34005 1135 130 the the DT A34005 1135 131 side side NN A34005 1135 132 E e NN A34005 1135 133 L l NN A34005 1135 134 the the DT A34005 1135 135 Azimuth Azimuth NNP A34005 1135 136 from from IN A34005 1135 137 the the DT A34005 1135 138 Vertical vertical JJ A34005 1135 139 the the DT A34005 1135 140 angle angle NN A34005 1135 141 B b NN A34005 1135 142 E E NNP A34005 1135 143 L L NNP A34005 1135 144 , , , A34005 1135 145 the the DT A34005 1135 146 Complement Complement NNP A34005 1135 147 of of IN A34005 1135 148 the the DT A34005 1135 149 Latitude Latitude NNP A34005 1135 150 and and CC A34005 1135 151 the the DT A34005 1135 152 right right JJ A34005 1135 153 angle angle NN A34005 1135 154 , , , A34005 1135 155 and and CC A34005 1135 156 the the DT A34005 1135 157 Proportion Proportion NNP A34005 1135 158 by by IN A34005 1135 159 11th 11th JJ A34005 1135 160 Case case NN A34005 1135 161 of of IN A34005 1135 162 right right RB A34005 1135 163 angled angle VBN A34005 1135 164 Sphoerical Sphoerical NNP A34005 1135 165 Triangle Triangle NNP A34005 1135 166 is be VBZ A34005 1135 167 As as IN A34005 1135 168 AE ae RB A34005 1135 169 H h NN A34005 1135 170 the the DT A34005 1135 171 Radius radius NN A34005 1135 172 , , , A34005 1135 173 To to TO A34005 1135 174 H h VB A34005 1135 175 AE ae RB A34005 1135 176 the the DT A34005 1135 177 Cotangent cotangent NN A34005 1135 178 of of IN A34005 1135 179 the the DT A34005 1135 180 Latitude Latitude NNP A34005 1135 181 : : : A34005 1135 182 So so CC A34005 1135 183 E e NN A34005 1135 184 L l NN A34005 1135 185 the the DT A34005 1135 186 Sine Sine NNP A34005 1135 187 of of IN A34005 1135 188 the the DT A34005 1135 189 Azimuth Azimuth NNP A34005 1135 190 from from IN A34005 1135 191 the the DT A34005 1135 192 Vertical Vertical NNP A34005 1135 193 , , , A34005 1135 194 To to IN A34005 1135 195 L L NNP A34005 1135 196 B B NNP A34005 1135 197 the the DT A34005 1135 198 Tangent Tangent NNP A34005 1135 199 of of IN A34005 1135 200 the the DT A34005 1135 201 Equinoctial Equinoctial NNP A34005 1135 202 Altitude Altitude NNP A34005 1135 203 to to IN A34005 1135 204 that that DT A34005 1135 205 Azimuth Azimuth NNP A34005 1135 206 . . . A34005 1136 1 Thut Thut NNP A34005 1136 2 we -PRON- PRP A34005 1136 3 see see VBP A34005 1136 4 the the DT A34005 1136 5 first first JJ A34005 1136 6 Proportions Proportions NNP A34005 1136 7 common common JJ A34005 1136 8 to to IN A34005 1136 9 both both DT A34005 1136 10 , , , A34005 1136 11 this this DT A34005 1136 12 Case case NN A34005 1136 13 issuing issue VBG A34005 1136 14 from from IN A34005 1136 15 the the DT A34005 1136 16 2d 2d NNP A34005 1136 17 Axiom Axiom NNP A34005 1136 18 of of IN A34005 1136 19 Pitiscus Pitiscus NNP A34005 1136 20 , , , A34005 1136 21 that that IN A34005 1136 22 in in IN A34005 1136 23 many many JJ A34005 1136 24 right right NN A34005 1136 25 angled angle VBD A34005 1136 26 Sphoerical Sphoerical NNP A34005 1136 27 Triangles Triangles NNPS A34005 1136 28 having have VBG A34005 1136 29 the the DT A34005 1136 30 same same JJ A34005 1136 31 Acute acute JJ A34005 1136 32 angle angle NN A34005 1136 33 at at IN A34005 1136 34 the the DT A34005 1136 35 Base Base NNP A34005 1136 36 , , , A34005 1136 37 the the DT A34005 1136 38 Sines Sines NNPS A34005 1136 39 of of IN A34005 1136 40 the the DT A34005 1136 41 Bases Bases NNPS A34005 1136 42 and and CC A34005 1136 43 Tangents Tangents NNPS A34005 1136 44 of of IN A34005 1136 45 the the DT A34005 1136 46 Perpendiculars perpendicular NNS A34005 1136 47 are be VBP A34005 1136 48 proportional proportional JJ A34005 1136 49 . . . A34005 1137 1 For for IN A34005 1137 2 the the DT A34005 1137 3 second second JJ A34005 1137 4 Operation operation NN A34005 1137 5 to to TO A34005 1137 6 find find VB A34005 1137 7 B B NNP A34005 1137 8 S. S. NNP A34005 1137 9 Though though IN A34005 1137 10 the the DT A34005 1137 11 Analogy analogy NN A34005 1137 12 is be VBZ A34005 1137 13 derivable derivable JJ A34005 1137 14 from from IN A34005 1137 15 the the DT A34005 1137 16 general general JJ A34005 1137 17 Proposition Proposition NNP A34005 1137 18 of of IN A34005 1137 19 the the DT A34005 1137 20 Lord Lord NNP A34005 1137 21 Napier Napier NNP A34005 1137 22 , , , A34005 1137 23 yet yet CC A34005 1137 24 here here RB A34005 1137 25 I -PRON- PRP A34005 1137 26 shall shall MD A34005 1137 27 take take VB A34005 1137 28 it -PRON- PRP A34005 1137 29 from from IN A34005 1137 30 Ptitiscus Ptitiscus NNP A34005 1137 31 the the DT A34005 1137 32 1 1 CD A34005 1137 33 Axiom Axiom NNP A34005 1137 34 . . . A34005 1138 1 That that IN A34005 1138 2 in in IN A34005 1138 3 many many JJ A34005 1138 4 right right NN A34005 1138 5 angled angle VBN A34005 1138 6 Sphoerical Sphoerical NNP A34005 1138 7 Triangles Triangles NNPS A34005 1138 8 , , , A34005 1138 9 having have VBG A34005 1138 10 the the DT A34005 1138 11 same same JJ A34005 1138 12 acute acute JJ A34005 1138 13 angle angle NN A34005 1138 14 at at IN A34005 1138 15 the the DT A34005 1138 16 Base Base NNP A34005 1138 17 the the DT A34005 1138 18 Sines Sines NNPS A34005 1138 19 of of IN A34005 1138 20 the the DT A34005 1138 21 Perpendiculars Perpendiculars NNPS A34005 1138 22 and and CC A34005 1138 23 Hipothenusals Hipothenusals NNPS A34005 1138 24 are be VBP A34005 1138 25 in in IN A34005 1138 26 direct direct JJ A34005 1138 27 Proportion proportion NN A34005 1138 28 . . . A34005 1139 1 Therefore therefore RB A34005 1139 2 in in IN A34005 1139 3 the the DT A34005 1139 4 Triangle Triangle NNP A34005 1139 5 AE AE NNP A34005 1139 6 Z Z NNP A34005 1139 7 B b NN A34005 1139 8 , , , A34005 1139 9 and and CC A34005 1139 10 D d NN A34005 1139 11 S s NN A34005 1139 12 B B NNP A34005 1139 13 it -PRON- PRP A34005 1139 14 will will MD A34005 1139 15 hold hold VB A34005 1139 16 , , , A34005 1139 17 As as IN A34005 1139 18 AE ae RB A34005 1139 19 Z z PDT A34005 1139 20 the the DT A34005 1139 21 Sine Sine NNP A34005 1139 22 of of IN A34005 1139 23 the the DT A34005 1139 24 Latitude Latitude NNP A34005 1139 25 , , , A34005 1139 26 To to IN A34005 1139 27 Z z NN A34005 1139 28 B B NNP A34005 1139 29 the the DT A34005 1139 30 Cosine Cosine NNP A34005 1139 31 of of IN A34005 1139 32 the the DT A34005 1139 33 Equinoctial Equinoctial NNP A34005 1139 34 Altitude Altitude NNP A34005 1139 35 , , , A34005 1139 36 So so RB A34005 1139 37 is be VBZ A34005 1139 38 D D NNP A34005 1139 39 S S NNP A34005 1139 40 , , , A34005 1139 41 the the DT A34005 1139 42 Sine Sine NNP A34005 1139 43 of of IN A34005 1139 44 the the DT A34005 1139 45 Declination declination NN A34005 1139 46 , , , A34005 1139 47 To to IN A34005 1139 48 the the DT A34005 1139 49 Sine Sine NNP A34005 1139 50 of of IN A34005 1139 51 B B NNP A34005 1139 52 S S NNP A34005 1139 53 , , , A34005 1139 54 which which WDT A34005 1139 55 is be VBZ A34005 1139 56 equal equal JJ A34005 1139 57 to to IN A34005 1139 58 B B NNP A34005 1139 59 M M NNP A34005 1139 60 : : : A34005 1139 61 See see VB A34005 1139 62 29th 29th NN A34005 1139 63 Prop Prop NNP A34005 1139 64 . . . A34005 1140 1 of of IN A34005 1140 2 3d 3d NNP A34005 1140 3 book book NNP A34005 1140 4 Regiomontanus Regiomontanus NNP A34005 1140 5 , , , A34005 1140 6 I -PRON- PRP A34005 1140 7 prove prove VBP A34005 1140 8 it -PRON- PRP A34005 1140 9 thus thus RB A34005 1140 10 , , , A34005 1140 11 The the DT A34005 1140 12 opposite opposite JJ A34005 1140 13 angles angle NNS A34005 1140 14 at at IN A34005 1140 15 B b NN A34005 1140 16 are be VBP A34005 1140 17 equal equal JJ A34005 1140 18 , , , A34005 1140 19 and and CC A34005 1140 20 the the DT A34005 1140 21 angles angle NNS A34005 1140 22 at at IN A34005 1140 23 D d NN A34005 1140 24 and and CC A34005 1140 25 O o NN A34005 1140 26 are be VBP A34005 1140 27 equal equal JJ A34005 1140 28 , , , A34005 1140 29 and and CC A34005 1140 30 the the DT A34005 1140 31 side side NN A34005 1140 32 D d NN A34005 1140 33 S s NN A34005 1140 34 , , , A34005 1140 35 equal equal JJ A34005 1140 36 to to IN A34005 1140 37 M m NN A34005 1140 38 O o UH A34005 1140 39 , , , A34005 1140 40 it -PRON- PRP A34005 1140 41 will will MD A34005 1140 42 then then RB A34005 1140 43 be be VB A34005 1140 44 evinced evince VBN A34005 1140 45 by by IN A34005 1140 46 Proportion proportion NN A34005 1140 47 , , , A34005 1140 48 As as IN A34005 1140 49 the the DT A34005 1140 50 Sine Sine NNP A34005 1140 51 of of IN A34005 1140 52 the the DT A34005 1140 53 angle angle NN A34005 1140 54 at at IN A34005 1140 55 B b NN A34005 1140 56 , , , A34005 1140 57 To to IN A34005 1140 58 its -PRON- PRP$ A34005 1140 59 opposite opposite JJ A34005 1140 60 side side NN A34005 1140 61 M m NN A34005 1140 62 O o NN A34005 1140 63 or or CC A34005 1140 64 D d NN A34005 1140 65 S s NN A34005 1140 66 : : : A34005 1140 67 So so RB A34005 1140 68 is be VBZ A34005 1140 69 the the DT A34005 1140 70 Radius Radius NNP A34005 1140 71 , , , A34005 1140 72 that that WDT A34005 1140 73 is be VBZ A34005 1140 74 the the DT A34005 1140 75 angle angle NN A34005 1140 76 at at IN A34005 1140 77 O o NN A34005 1140 78 or or CC A34005 1140 79 D d NN A34005 1140 80 , , , A34005 1140 81 To to IN A34005 1140 82 its -PRON- PRP$ A34005 1140 83 opposite opposite JJ A34005 1140 84 side side NN A34005 1140 85 S S NNP A34005 1140 86 B b NN A34005 1140 87 , , , A34005 1140 88 or or CC A34005 1140 89 M M NNP A34005 1140 90 B. B. NNP A34005 1141 1 This this DT A34005 1141 2 equality equality NN A34005 1141 3 being be VBG A34005 1141 4 admitted admit VBN A34005 1141 5 , , , A34005 1141 6 if if IN A34005 1141 7 unto unto IN A34005 1141 8 L l NN A34005 1141 9 B B NNP A34005 1141 10 we -PRON- PRP A34005 1141 11 add add VBP A34005 1141 12 B B NNP A34005 1141 13 S S NNP A34005 1141 14 , , , A34005 1141 15 the the DT A34005 1141 16 sum sum NN A34005 1141 17 is be VBZ A34005 1141 18 L L NNP A34005 1141 19 S S NNP A34005 1141 20 the the DT A34005 1141 21 Altitude altitude NN A34005 1141 22 for for IN A34005 1141 23 Summer Summer NNP A34005 1141 24 Declination Declination NNP A34005 1141 25 , , , A34005 1141 26 if if IN A34005 1141 27 from from IN A34005 1141 28 B B NNP A34005 1141 29 L L NNP A34005 1141 30 we -PRON- PRP A34005 1141 31 take take VBP A34005 1141 32 B b NN A34005 1141 33 M m NN A34005 1141 34 equal equal JJ A34005 1141 35 to to IN A34005 1141 36 B B NNP A34005 1141 37 S S NNP A34005 1141 38 , , , A34005 1141 39 the the DT A34005 1141 40 remainder remainder NN A34005 1141 41 M M NNP A34005 1141 42 L L NNP A34005 1141 43 is be VBZ A34005 1141 44 the the DT A34005 1141 45 Altitude altitude NN A34005 1141 46 for for IN A34005 1141 47 the the DT A34005 1141 48 like like JJ A34005 1141 49 Declination Declination NNP A34005 1141 50 towards towards IN A34005 1141 51 the the DT A34005 1141 52 Depressed Depressed NNP A34005 1141 53 Pole Pole NNP A34005 1141 54 , , , A34005 1141 55 being be VBG A34005 1141 56 the the DT A34005 1141 57 Winter Winter NNP A34005 1141 58 Altitude Altitude NNP A34005 1141 59 of of IN A34005 1141 60 that that DT A34005 1141 61 Azimuth Azimuth NNP A34005 1141 62 . . . A34005 1142 1 But but CC A34005 1142 2 for for IN A34005 1142 3 Azimuths azimuth NNS A34005 1142 4 above above IN A34005 1142 5 90 90 CD A34005 1142 6 d d NN A34005 1142 7 from from IN A34005 1142 8 the the DT A34005 1142 9 Meridian Meridian NNP A34005 1142 10 it -PRON- PRP A34005 1142 11 may may MD A34005 1142 12 be be VB A34005 1142 13 observed observe VBN A34005 1142 14 in in IN A34005 1142 15 the the DT A34005 1142 16 two two CD A34005 1142 17 Opposite Opposite NNP A34005 1142 18 Triangles Triangles NNP A34005 1142 19 E E NNP A34005 1142 20 A a NN A34005 1142 21 N n NN A34005 1142 22 , , , A34005 1142 23 and and CC A34005 1142 24 E e NN A34005 1142 25 A a NN A34005 1142 26 I i NN A34005 1142 27 , , , A34005 1142 28 counting count VBG A34005 1142 29 the the DT A34005 1142 30 Azimuth Azimuth NNP A34005 1142 31 E E NNP A34005 1142 32 A a DT A34005 1142 33 each each DT A34005 1142 34 way way NN A34005 1142 35 from from IN A34005 1142 36 the the DT A34005 1142 37 Vertical vertical JJ A34005 1142 38 its -PRON- PRP$ A34005 1142 39 Equinoctial Equinoctial NNP A34005 1142 40 Altitude Altitude NNP A34005 1142 41 A A NNP A34005 1142 42 N N NNP A34005 1142 43 in in IN A34005 1142 44 the the DT A34005 1142 45 Winter winter NN A34005 1142 46 is be VBZ A34005 1142 47 equal equal JJ A34005 1142 48 to to IN A34005 1142 49 its -PRON- PRP$ A34005 1142 50 Equinoctial Equinoctial NNP A34005 1142 51 Depression Depression NNP A34005 1142 52 A A NNP A34005 1142 53 I i NN A34005 1142 54 in in IN A34005 1142 55 the the DT A34005 1142 56 Summer summer NN A34005 1142 57 , , , A34005 1142 58 and and CC A34005 1142 59 is be VBZ A34005 1142 60 to to TO A34005 1142 61 be be VB A34005 1142 62 found find VBN A34005 1142 63 by by IN A34005 1142 64 the the DT A34005 1142 65 1 1 CD A34005 1142 66 Proportion Proportion NNP A34005 1142 67 . . . A34005 1143 1 The the DT A34005 1143 2 second second JJ A34005 1143 3 Proportion Proportion NNP A34005 1143 4 varies vary VBZ A34005 1143 5 not not RB A34005 1143 6 . . . A34005 1144 1 As as IN A34005 1144 2 the the DT A34005 1144 3 Sine Sine NNP A34005 1144 4 of of IN A34005 1144 5 the the DT A34005 1144 6 Latitude Latitude NNP A34005 1144 7 N N NNP A34005 1144 8 F F NNP A34005 1144 9 equal equal JJ A34005 1144 10 to to IN A34005 1144 11 AE AE NNP A34005 1144 12 Z Z NNP A34005 1144 13 , , , A34005 1144 14 Is be VBZ A34005 1144 15 to to TO A34005 1144 16 N n NN A34005 1144 17 I -PRON- PRP A34005 1144 18 equal equal JJ A34005 1144 19 to to IN A34005 1144 20 Z z NN A34005 1144 21 B B NNP A34005 1144 22 the the DT A34005 1144 23 Cosine Cosine NNP A34005 1144 24 of of IN A34005 1144 25 the the DT A34005 1144 26 Equinoctial Equinoctial NNP A34005 1144 27 Altitude Altitude NNP A34005 1144 28 or or CC A34005 1144 29 Depression depression NN A34005 1144 30 : : : A34005 1144 31 So so RB A34005 1144 32 is be VBZ A34005 1144 33 the the DT A34005 1144 34 Sine Sine NNP A34005 1144 35 of of IN A34005 1144 36 the the DT A34005 1144 37 Declination Declination NNP A34005 1144 38 , , , A34005 1144 39 I -PRON- PRP A34005 1144 40 G g VBP A34005 1144 41 equal equal JJ A34005 1144 42 to to IN A34005 1144 43 D d NN A34005 1144 44 S s NN A34005 1144 45 : : : A34005 1144 46 To to TO A34005 1144 47 Sine Sine NNP A34005 1144 48 I I NNP A34005 1144 49 K K NNP A34005 1144 50 , , , A34005 1144 51 from from IN A34005 1144 52 which which WDT A34005 1144 53 taking take VBG A34005 1144 54 A a DT A34005 1144 55 I i NN A34005 1144 56 , , , A34005 1144 57 the the DT A34005 1144 58 Equinoctial Equinoctial NNP A34005 1144 59 Depression Depression NNP A34005 1144 60 rests rest VBZ A34005 1144 61 A a DT A34005 1144 62 K k NN A34005 1144 63 , , , A34005 1144 64 the the DT A34005 1144 65 Altitude altitude NN A34005 1144 66 sought seek VBD A34005 1144 67 . . . A34005 1145 1 To to TO A34005 1145 2 Calculate calculate VB A34005 1145 3 a a DT A34005 1145 4 Table table NN A34005 1145 5 of of IN A34005 1145 6 the the DT A34005 1145 7 Suns Suns NNPS A34005 1145 8 Altitude Altitude NNP A34005 1145 9 for for IN A34005 1145 10 all all DT A34005 1145 11 Azimuths azimuth NNS A34005 1145 12 and and CC A34005 1145 13 hours hour NNS A34005 1145 14 under under IN A34005 1145 15 the the DT A34005 1145 16 Equinoctial Equinoctial NNP A34005 1145 17 . . . A34005 1146 1 This this DT A34005 1146 2 will will MD A34005 1146 3 be be VB A34005 1146 4 two two CD A34005 1146 5 Cases case NNS A34005 1146 6 of of IN A34005 1146 7 a a DT A34005 1146 8 Quadrantal Quadrantal NNP A34005 1146 9 Sphoerical Sphoerical NNP A34005 1146 10 Triangle Triangle NNP A34005 1146 11 . . . A34005 1147 1 1 1 LS A34005 1147 2 . . . A34005 1148 1 For for IN A34005 1148 2 the the DT A34005 1148 3 Altitudes altitude NNS A34005 1148 4 on on IN A34005 1148 5 all all DT A34005 1148 6 Azimuths azimuth NNS A34005 1148 7 . . . A34005 1149 1 There there EX A34005 1149 2 would would MD A34005 1149 3 be be VB A34005 1149 4 given give VBN A34005 1149 5 the the DT A34005 1149 6 side side NN A34005 1149 7 A a DT A34005 1149 8 B b NN A34005 1149 9 a a DT A34005 1149 10 Quadrant Quadrant NNP A34005 1149 11 , , , A34005 1149 12 the the DT A34005 1149 13 angle angle NN A34005 1149 14 at at IN A34005 1149 15 B b NN A34005 1149 16 the the DT A34005 1149 17 Azimuth Azimuth NNP A34005 1149 18 from from IN A34005 1149 19 the the DT A34005 1149 20 Meridian Meridian NNP A34005 1149 21 , , , A34005 1149 22 and and CC A34005 1149 23 the the DT A34005 1149 24 side side NN A34005 1149 25 A a DT A34005 1149 26 D d NN A34005 1149 27 the the DT A34005 1149 28 Complement Complement NNP A34005 1149 29 of of IN A34005 1149 30 the the DT A34005 1149 31 Suns Suns NNPS A34005 1149 32 Declination Declination NNP A34005 1149 33 . . . A34005 1150 1 If if IN A34005 1150 2 the the DT A34005 1150 3 side side NN A34005 1150 4 B b NN A34005 1150 5 D d NN A34005 1150 6 be be VB A34005 1150 7 continued continue VBN A34005 1150 8 to to IN A34005 1150 9 a a DT A34005 1150 10 Quadrant Quadrant NNP A34005 1150 11 , , , A34005 1150 12 the the DT A34005 1150 13 angle angle NN A34005 1150 14 at at IN A34005 1150 15 C C NNP A34005 1150 16 will will MD A34005 1150 17 be be VB A34005 1150 18 a a DT A34005 1150 19 right right NN A34005 1150 20 angled angle VBN A34005 1150 21 , , , A34005 1150 22 besides besides IN A34005 1150 23 which which WDT A34005 1150 24 in in IN A34005 1150 25 the the DT A34005 1150 26 Triangle Triangle NNP A34005 1150 27 A A NNP A34005 1150 28 D D NNP A34005 1150 29 C c NN A34005 1150 30 , , , A34005 1150 31 there there EX A34005 1150 32 would would MD A34005 1150 33 be be VB A34005 1150 34 given give VBN A34005 1150 35 A a DT A34005 1150 36 D d NN A34005 1150 37 as as IN A34005 1150 38 before before IN A34005 1150 39 the the DT A34005 1150 40 Complement Complement NNP A34005 1150 41 of of IN A34005 1150 42 the the DT A34005 1150 43 Suns Suns NNPS A34005 1150 44 Declination Declination NNP A34005 1150 45 , , , A34005 1150 46 and and CC A34005 1150 47 A a DT A34005 1150 48 C c NN A34005 1150 49 the the DT A34005 1150 50 measure measure NN A34005 1150 51 of of IN A34005 1150 52 the the DT A34005 1150 53 angle angle NN A34005 1150 54 at at IN A34005 1150 55 B b NN A34005 1150 56 to to TO A34005 1150 57 find find VB A34005 1150 58 D d NN A34005 1150 59 C c NN A34005 1150 60 the the DT A34005 1150 61 Suns Suns NNPS A34005 1150 62 Altitude Altitude NNP A34005 1150 63 being be VBG A34005 1150 64 the the DT A34005 1150 65 Complement Complement NNP A34005 1150 66 of of IN A34005 1150 67 B B NNP A34005 1150 68 D d NN A34005 1150 69 , , , A34005 1150 70 and and CC A34005 1150 71 so so RB A34005 1150 72 having have VBG A34005 1150 73 the the DT A34005 1150 74 Hipotenusal Hipotenusal NNP A34005 1150 75 , , , A34005 1150 76 and and CC A34005 1150 77 one one CD A34005 1150 78 of of IN A34005 1150 79 the the DT A34005 1150 80 Leggs Leggs NNP A34005 1150 81 of of IN A34005 1150 82 a a DT A34005 1150 83 right right NN A34005 1150 84 angled angle VBN A34005 1150 85 Sphoerical Sphoerical NNP A34005 1150 86 Triangle Triangle NNP A34005 1150 87 , , , A34005 1150 88 by by IN A34005 1150 89 the the DT A34005 1150 90 7th 7th JJ A34005 1150 91 Case Case NNP A34005 1150 92 we -PRON- PRP A34005 1150 93 may may MD A34005 1150 94 find find VB A34005 1150 95 the the DT A34005 1150 96 other other JJ A34005 1150 97 Legg Legg NNP A34005 1150 98 , , , A34005 1150 99 the the DT A34005 1150 100 Proportion proportion NN A34005 1150 101 sutable sutable JJ A34005 1150 102 to to IN A34005 1150 103 this this DT A34005 1150 104 question question NN A34005 1150 105 would would MD A34005 1150 106 be be VB A34005 1150 107 As as IN A34005 1150 108 the the DT A34005 1150 109 Sine Sine NNP A34005 1150 110 of of IN A34005 1150 111 the the DT A34005 1150 112 Azimuth Azimuth NNP A34005 1150 113 from from IN A34005 1150 114 East East NNP A34005 1150 115 or or CC A34005 1150 116 West West NNP A34005 1150 117 , , , A34005 1150 118 Is be VBZ A34005 1150 119 to to IN A34005 1150 120 the the DT A34005 1150 121 Radius radius NN A34005 1150 122 : : : A34005 1150 123 So so RB A34005 1150 124 is be VBZ A34005 1150 125 the the DT A34005 1150 126 Sine Sine NNP A34005 1150 127 of of IN A34005 1150 128 the the DT A34005 1150 129 Declination declination NN A34005 1150 130 , , , A34005 1150 131 To to IN A34005 1150 132 the the DT A34005 1150 133 Cosine Cosine NNP A34005 1150 134 of of IN A34005 1150 135 the the DT A34005 1150 136 Altitude altitude NN A34005 1150 137 sought seek VBD A34005 1150 138 . . . A34005 1151 1 2 2 LS A34005 1151 2 . . . A34005 1152 1 For for IN A34005 1152 2 the the DT A34005 1152 3 Altitudes altitude NNS A34005 1152 4 on on IN A34005 1152 5 all all DT A34005 1152 6 Hours hour NNS A34005 1152 7 . . . A34005 1153 1 There there EX A34005 1153 2 would would MD A34005 1153 3 be be VB A34005 1153 4 given give VBN A34005 1153 5 the the DT A34005 1153 6 side side NN A34005 1153 7 A a DT A34005 1153 8 B b NN A34005 1153 9 a a DT A34005 1153 10 Quadrant quadrant NN A34005 1153 11 , , , A34005 1153 12 A a DT A34005 1153 13 D d NN A34005 1153 14 the the DT A34005 1153 15 Complement Complement NNP A34005 1153 16 of of IN A34005 1153 17 the the DT A34005 1153 18 Suns Suns NNPS A34005 1153 19 declination declination NN A34005 1153 20 with with IN A34005 1153 21 the the DT A34005 1153 22 contained contained JJ A34005 1153 23 angle angle NN A34005 1153 24 B B NNP A34005 1153 25 A a NN A34005 1153 26 D d NN A34005 1153 27 the the DT A34005 1153 28 hour hour NN A34005 1153 29 from from IN A34005 1153 30 noon noon NN A34005 1153 31 , , , A34005 1153 32 to to TO A34005 1153 33 find find VB A34005 1153 34 the the DT A34005 1153 35 side side NN A34005 1153 36 B b NN A34005 1153 37 D d NN A34005 1153 38 the the DT A34005 1153 39 Complement Complement NNP A34005 1153 40 of of IN A34005 1153 41 the the DT A34005 1153 42 Suns Suns NNPS A34005 1153 43 Altitude Altitude NNP A34005 1153 44 . . . A34005 1154 1 Here here RB A34005 1154 2 again again RB A34005 1154 3 if if IN A34005 1154 4 B b NN A34005 1154 5 D d NN A34005 1154 6 be be VB A34005 1154 7 continued continue VBN A34005 1154 8 to to IN A34005 1154 9 a a DT A34005 1154 10 Quadrant Quadrant NNP A34005 1154 11 , , , A34005 1154 12 the the DT A34005 1154 13 angle angle NN A34005 1154 14 at at IN A34005 1154 15 C C NNP A34005 1154 16 is be VBZ A34005 1154 17 a a DT A34005 1154 18 right right JJ A34005 1154 19 angle angle NN A34005 1154 20 , , , A34005 1154 21 the the DT A34005 1154 22 side side NN A34005 1154 23 A a DT A34005 1154 24 D d NN A34005 1154 25 remains remain VBZ A34005 1154 26 common common JJ A34005 1154 27 , , , A34005 1154 28 the the DT A34005 1154 29 angle angle NN A34005 1154 30 D D NNP A34005 1154 31 A a NN A34005 1154 32 C c NN A34005 1154 33 is be VBZ A34005 1154 34 the the DT A34005 1154 35 Complement Complement NNP A34005 1154 36 of of IN A34005 1154 37 the the DT A34005 1154 38 Angle Angle NNP A34005 1154 39 B B NNP A34005 1154 40 A A NNP A34005 1154 41 D d NN A34005 1154 42 , , , A34005 1154 43 See See NNP A34005 1154 44 Page page NN A34005 1154 45 57 57 CD A34005 1154 46 where where WRB A34005 1154 47 it -PRON- PRP A34005 1154 48 is be VBZ A34005 1154 49 delivered deliver VBN A34005 1154 50 , , , A34005 1154 51 That that IN A34005 1154 52 if if IN A34005 1154 53 a a DT A34005 1154 54 Sphoerical Sphoerical NNP A34005 1154 55 Triangle Triangle NNP A34005 1154 56 have have VB A34005 1154 57 one one CD A34005 1154 58 right right JJ A34005 1154 59 angle angle NN A34005 1154 60 , , , A34005 1154 61 and and CC A34005 1154 62 one one CD A34005 1154 63 side side NN A34005 1154 64 a a DT A34005 1154 65 Quadrant quadrant NN A34005 1154 66 , , , A34005 1154 67 it -PRON- PRP A34005 1154 68 hath hath VBP A34005 1154 69 two two CD A34005 1154 70 right right JJ A34005 1154 71 angles angle NNS A34005 1154 72 , , , A34005 1154 73 and and CC A34005 1154 74 two two CD A34005 1154 75 Quadrantal quadrantal JJ A34005 1154 76 sides side NNS A34005 1154 77 , , , A34005 1154 78 and and CC A34005 1154 79 therefore therefore RB A34005 1154 80 the the DT A34005 1154 81 angle angle NN A34005 1154 82 B B NNP A34005 1154 83 A A NNP A34005 1154 84 C C NNP A34005 1154 85 is be VBZ A34005 1154 86 a a DT A34005 1154 87 right right JJ A34005 1154 88 angle angle NN A34005 1154 89 ; ; : A34005 1154 90 this this DT A34005 1154 91 is be VBZ A34005 1154 92 coincident coincident NN A34005 1154 93 with with IN A34005 1154 94 the the DT A34005 1154 95 8th 8th JJ A34005 1154 96 Case case NN A34005 1154 97 of of IN A34005 1154 98 right right RB A34005 1154 99 angled angle VBN A34005 1154 100 Spherical Spherical NNP A34005 1154 101 Triangles Triangles NNPS A34005 1154 102 , , , A34005 1154 103 the the DT A34005 1154 104 Proportion proportion NN A34005 1154 105 thereof thereof RB A34005 1154 106 is be VBZ A34005 1154 107 , , , A34005 1154 108 As as IN A34005 1154 109 the the DT A34005 1154 110 Radius Radius NNP A34005 1154 111 , , , A34005 1154 112 Is be VBZ A34005 1154 113 to to IN A34005 1154 114 the the DT A34005 1154 115 Cosine Cosine NNP A34005 1154 116 of of IN A34005 1154 117 the the DT A34005 1154 118 Declination Declination NNP A34005 1154 119 , , , A34005 1154 120 So so RB A34005 1154 121 is be VBZ A34005 1154 122 the the DT A34005 1154 123 Sine Sine NNP A34005 1154 124 of of IN A34005 1154 125 the the DT A34005 1154 126 hour hour NN A34005 1154 127 from from IN A34005 1154 128 six six CD A34005 1154 129 , , , A34005 1154 130 To to IN A34005 1154 131 the the DT A34005 1154 132 Sine Sine NNP A34005 1154 133 of of IN A34005 1154 134 the the DT A34005 1154 135 Altitude altitude NN A34005 1154 136 , , , A34005 1154 137 sought seek VBD A34005 1154 138 . . . A34005 1155 1 Affections affection NNS A34005 1155 2 of of IN A34005 1155 3 Sphoerical sphoerical JJ A34005 1155 4 Triangles Triangles NNPS A34005 1155 5 . . . A34005 1156 1 BEcause because IN A34005 1156 2 the the DT A34005 1156 3 last last JJ A34005 1156 4 Affection Affection NNP A34005 1156 5 in in IN A34005 1156 6 page page NN A34005 1156 7 57 57 CD A34005 1156 8 is be VBZ A34005 1156 9 not not RB A34005 1156 10 Braced brace VBN A34005 1156 11 in in IN A34005 1156 12 the the DT A34005 1156 13 beginning beginning NN A34005 1156 14 , , , A34005 1156 15 and and CC A34005 1156 16 a a DT A34005 1156 17 mistake mistake NN A34005 1156 18 of of IN A34005 1156 19 lesser less JJR A34005 1156 20 for for IN A34005 1156 21 greater great JJR A34005 1156 22 , , , A34005 1156 23 in in IN A34005 1156 24 the the DT A34005 1156 25 last last JJ A34005 1156 26 Brace Brace NNP A34005 1156 27 but but CC A34005 1156 28 one one CD A34005 1156 29 , , , A34005 1156 30 I -PRON- PRP A34005 1156 31 thought think VBD A34005 1156 32 fit fit JJ A34005 1156 33 to to TO A34005 1156 34 recite recite VB A34005 1156 35 it -PRON- PRP A34005 1156 36 at at IN A34005 1156 37 large large JJ A34005 1156 38 . . . A34005 1157 1 Any any DT A34005 1157 2 side side NN A34005 1157 3 of of IN A34005 1157 4 a a DT A34005 1157 5 Sphoerical Sphoerical NNP A34005 1157 6 Triangle Triangle NNP A34005 1157 7 being be VBG A34005 1157 8 continued continue VBN A34005 1157 9 , , , A34005 1157 10 if if IN A34005 1157 11 the the DT A34005 1157 12 other other JJ A34005 1157 13 sides side NNS A34005 1157 14 together together RB A34005 1157 15 are be VBP A34005 1157 16 equal equal JJ A34005 1157 17 to to IN A34005 1157 18 a a DT A34005 1157 19 Semicircle Semicircle NNP A34005 1157 20 , , , A34005 1157 21 the the DT A34005 1157 22 outward outward JJ A34005 1157 23 angle angle NN A34005 1157 24 on on IN A34005 1157 25 the the DT A34005 1157 26 side side NN A34005 1157 27 continued continue VBN A34005 1157 28 shall shall MD A34005 1157 29 be be VB A34005 1157 30 equal equal JJ A34005 1157 31 to to IN A34005 1157 32 the the DT A34005 1157 33 inward inward JJ A34005 1157 34 angle angle NN A34005 1157 35 on on IN A34005 1157 36 the the DT A34005 1157 37 said say VBN A34005 1157 38 side side NN A34005 1157 39 opposite opposite IN A34005 1157 40 thereto thereto NNP A34005 1157 41 . . . A34005 1158 1 If if IN A34005 1158 2 the the DT A34005 1158 3 sides side NNS A34005 1158 4 are be VBP A34005 1158 5 less less JJR A34005 1158 6 then then RB A34005 1158 7 a a DT A34005 1158 8 Semicircle Semicircle NNP A34005 1158 9 , , , A34005 1158 10 the the DT A34005 1158 11 outward outward JJ A34005 1158 12 angle angle NN A34005 1158 13 will will MD A34005 1158 14 be be VB A34005 1158 15 greater great JJR A34005 1158 16 then then RB A34005 1158 17 the the DT A34005 1158 18 inward inward JJ A34005 1158 19 opposite opposite JJ A34005 1158 20 angle angle NN A34005 1158 21 ; ; : A34005 1158 22 But but CC A34005 1158 23 if if IN A34005 1158 24 the the DT A34005 1158 25 said say VBN A34005 1158 26 sides side NNS A34005 1158 27 are be VBP A34005 1158 28 together together RB A34005 1158 29 greater great JJR A34005 1158 30 then then RB A34005 1158 31 a a DT A34005 1158 32 Semicircle Semicircle NNP A34005 1158 33 , , , A34005 1158 34 the the DT A34005 1158 35 outward outward JJ A34005 1158 36 angle angle NN A34005 1158 37 will will MD A34005 1158 38 be be VB A34005 1158 39 less less JJR A34005 1158 40 then then RB A34005 1158 41 the the DT A34005 1158 42 inward inward JJ A34005 1158 43 opposite opposite JJ A34005 1158 44 angle angle NN A34005 1158 45 . . . A34005 1159 1 In in IN A34005 1159 2 the the DT A34005 1159 3 Triangle Triangle NNP A34005 1159 4 annexed annexed NN A34005 1159 5 , , , A34005 1159 6 if if IN A34005 1159 7 the the DT A34005 1159 8 sides side NNS A34005 1159 9 A A NNP A34005 1159 10 B B NNP A34005 1159 11 and and CC A34005 1159 12 A a DT A34005 1159 13 C c NN A34005 1159 14 together together RB A34005 1159 15 are be VBP A34005 1159 16 equal equal JJ A34005 1159 17 to to IN A34005 1159 18 a a DT A34005 1159 19 Semicircle Semicircle NNP A34005 1159 20 , , , A34005 1159 21 then then RB A34005 1159 22 is be VBZ A34005 1159 23 the the DT A34005 1159 24 angle angle NN A34005 1159 25 A a NN A34005 1159 26 C c NN A34005 1159 27 D d NN A34005 1159 28 equal equal JJ A34005 1159 29 to to IN A34005 1159 30 the the DT A34005 1159 31 angle angle NN A34005 1159 32 A a DT A34005 1159 33 B B NNP A34005 1159 34 C. C. NNP A34005 1159 35 If if IN A34005 1159 36 less less RBR A34005 1159 37 then then RB A34005 1159 38 a a DT A34005 1159 39 Semicircle Semicircle NNP A34005 1159 40 then then RB A34005 1159 41 is be VBZ A34005 1159 42 the the DT A34005 1159 43 said said JJ A34005 1159 44 angle angle NN A34005 1159 45 greater great JJR A34005 1159 46 then then RB A34005 1159 47 the the DT A34005 1159 48 angle angle NN A34005 1159 49 at at IN A34005 1159 50 B. B. NNP A34005 1160 1 But but CC A34005 1160 2 if if IN A34005 1160 3 they -PRON- PRP A34005 1160 4 be be VBP A34005 1160 5 greater great JJR A34005 1160 6 , , , A34005 1160 7 then then RB A34005 1160 8 is be VBZ A34005 1160 9 the the DT A34005 1160 10 said said JJ A34005 1160 11 angle angle NN A34005 1160 12 A a NN A34005 1160 13 C c NN A34005 1160 14 D d NN A34005 1160 15 less less RBR A34005 1160 16 then then RB A34005 1160 17 the the DT A34005 1160 18 angle angle NN A34005 1160 19 at at IN A34005 1160 20 B. B. NNP A34005 1161 1 By by IN A34005 1161 2 reason reason NN A34005 1161 3 of of IN A34005 1161 4 the the DT A34005 1161 5 first first JJ A34005 1161 6 Affection Affection NNP A34005 1161 7 in in IN A34005 1161 8 page page NN A34005 1161 9 58 58 CD A34005 1161 10 ( ( -LRB- A34005 1161 11 which which WDT A34005 1161 12 wants want VBZ A34005 1161 13 a a DT A34005 1161 14 Brace Brace NNP A34005 1161 15 in in IN A34005 1161 16 the the DT A34005 1161 17 first first JJ A34005 1161 18 Line Line NNP A34005 1161 19 ) ) -RRB- A34005 1161 20 after after IN A34005 1161 21 the the DT A34005 1161 22 words word NNS A34005 1161 23 two two CD A34005 1161 24 sides side NNS A34005 1161 25 ) ) -RRB- A34005 1161 26 We -PRON- PRP A34005 1161 27 require require VBP A34005 1161 28 in in IN A34005 1161 29 the the DT A34005 1161 30 first first JJ A34005 1161 31 , , , A34005 1161 32 second second JJ A34005 1161 33 , , , A34005 1161 34 and and CC A34005 1161 35 other other JJ A34005 1161 36 Cases case NNS A34005 1161 37 of of IN A34005 1161 38 Oblique Oblique NNP A34005 1161 39 angled angle VBD A34005 1161 40 Sphoerical Sphoerical NNP A34005 1161 41 Triangles Triangles NNPS A34005 1161 42 , , , A34005 1161 43 the the DT A34005 1161 44 sum sum NN A34005 1161 45 of of IN A34005 1161 46 the the DT A34005 1161 47 two two CD A34005 1161 48 sides side NNS A34005 1161 49 or or CC A34005 1161 50 angles angle NNS A34005 1161 51 given give VBN A34005 1161 52 , , , A34005 1161 53 to to TO A34005 1161 54 be be VB A34005 1161 55 less less JJR A34005 1161 56 then then RB A34005 1161 57 a a DT A34005 1161 58 Semicircle Semicircle NNP A34005 1161 59 . . . A34005 1162 1 Before before IN A34005 1162 2 I -PRON- PRP A34005 1162 3 finish finish VBP A34005 1162 4 the the DT A34005 1162 5 Trigonometrical trigonometrical JJ A34005 1162 6 part part NN A34005 1162 7 , , , A34005 1162 8 I -PRON- PRP A34005 1162 9 think think VBP A34005 1162 10 it -PRON- PRP A34005 1162 11 not not RB A34005 1162 12 amiss amiss JJ A34005 1162 13 to to TO A34005 1162 14 give give VB A34005 1162 15 a a DT A34005 1162 16 Determination determination NN A34005 1162 17 of of IN A34005 1162 18 the the DT A34005 1162 19 certain certain JJ A34005 1162 20 Cases case NNS A34005 1162 21 about about IN A34005 1162 22 Opposite opposite JJ A34005 1162 23 sides side NNS A34005 1162 24 and and CC A34005 1162 25 Angles Angles NNPS A34005 1162 26 in in IN A34005 1162 27 Sphoerical Sphoerical NNP A34005 1162 28 Triangles Triangles NNPS A34005 1162 29 , , , A34005 1162 30 having have VBG A34005 1162 31 before before IN A34005 1162 32 shewn shewn NNP A34005 1162 33 which which WDT A34005 1162 34 are be VBP A34005 1162 35 the the DT A34005 1162 36 doubtful doubtful JJ A34005 1162 37 , , , A34005 1162 38 and and CC A34005 1162 39 the the DT A34005 1162 40 rather rather RB A34005 1162 41 because because IN A34005 1162 42 that that IN A34005 1162 43 this this DT A34005 1162 44 was be VBD A34005 1162 45 never never RB A34005 1162 46 yet yet RB A34005 1162 47 spoke speak VBN A34005 1162 48 to to IN A34005 1162 49 . . . A34005 1163 1 Two two CD A34005 1163 2 sides side NNS A34005 1163 3 with with IN A34005 1163 4 an an DT A34005 1163 5 Angle Angle NNP A34005 1163 6 opposite opposite NN A34005 1163 7 to to IN A34005 1163 8 one one CD A34005 1163 9 of of IN A34005 1163 10 them -PRON- PRP A34005 1163 11 , , , A34005 1163 12 to to TO A34005 1163 13 determine determine VB A34005 1163 14 the the DT A34005 1163 15 Affection Affection NNP A34005 1163 16 of of IN A34005 1163 17 the the DT A34005 1163 18 Angle Angle NNP A34005 1163 19 opposite opposite IN A34005 1163 20 to to IN A34005 1163 21 the the DT A34005 1163 22 other other JJ A34005 1163 23 . . . A34005 1164 1 1 1 LS A34005 1164 2 . . . A34005 1165 1 If if IN A34005 1165 2 the the DT A34005 1165 3 given give VBN A34005 1165 4 angle angle NN A34005 1165 5 be be VB A34005 1165 6 Acute acute JJ A34005 1165 7 , , , A34005 1165 8 and and CC A34005 1165 9 the the DT A34005 1165 10 opposite opposite JJ A34005 1165 11 side side NN A34005 1165 12 less less RBR A34005 1165 13 then then RB A34005 1165 14 a a DT A34005 1165 15 Quadrant Quadrant NNP A34005 1165 16 , , , A34005 1165 17 and and CC A34005 1165 18 the the DT A34005 1165 19 adjacent adjacent JJ A34005 1165 20 side side NN A34005 1165 21 less less RBR A34005 1165 22 then then RB A34005 1165 23 the the DT A34005 1165 24 former former JJ A34005 1165 25 side side NN A34005 1165 26 . . . A34005 1166 1 The the DT A34005 1166 2 angle angle NN A34005 1166 3 it -PRON- PRP A34005 1166 4 subtends subtend VBZ A34005 1166 5 is be VBZ A34005 1166 6 acute acute JJ A34005 1166 7 because because IN A34005 1166 8 subtended subtend VBN A34005 1166 9 by by IN A34005 1166 10 a a DT A34005 1166 11 lesser less JJR A34005 1166 12 side side NN A34005 1166 13 , , , A34005 1166 14 for for IN A34005 1166 15 in in IN A34005 1166 16 all all DT A34005 1166 17 Sphoerical sphoerical JJ A34005 1166 18 Triangles Triangles NNPS A34005 1166 19 the the DT A34005 1166 20 lesser less JJR A34005 1166 21 side side NN A34005 1166 22 subtends subtend VBZ A34005 1166 23 the the DT A34005 1166 24 lesser less JJR A34005 1166 25 angle angle NN A34005 1166 26 and and CC A34005 1166 27 the the DT A34005 1166 28 Converse Converse NNP A34005 1166 29 . . . A34005 1167 1 2 2 LS A34005 1167 2 . . . A34005 1168 1 If if IN A34005 1168 2 the the DT A34005 1168 3 given give VBN A34005 1168 4 angle angle NN A34005 1168 5 be be VB A34005 1168 6 acute acute JJ A34005 1168 7 , , , A34005 1168 8 and and CC A34005 1168 9 the the DT A34005 1168 10 opposite opposite JJ A34005 1168 11 side side NN A34005 1168 12 less less RBR A34005 1168 13 then then RB A34005 1168 14 a a DT A34005 1168 15 Quadrant Quadrant NNP A34005 1168 16 , , , A34005 1168 17 and and CC A34005 1168 18 the the DT A34005 1168 19 other other JJ A34005 1168 20 side side NN A34005 1168 21 greater great JJR A34005 1168 22 then then RB A34005 1168 23 the the DT A34005 1168 24 former former JJ A34005 1168 25 side side NN A34005 1168 26 : : : A34005 1168 27 This this DT A34005 1168 28 is be VBZ A34005 1168 29 a a DT A34005 1168 30 doubtfull doubtfull JJ A34005 1168 31 Case case NN A34005 1168 32 , , , A34005 1168 33 if if IN A34005 1168 34 it -PRON- PRP A34005 1168 35 be be VB A34005 1168 36 less less JJR A34005 1168 37 then then RB A34005 1168 38 a a DT A34005 1168 39 Quadrant Quadrant NNP A34005 1168 40 it -PRON- PRP A34005 1168 41 may may MD A34005 1168 42 subtend subtend VB A34005 1168 43 either either CC A34005 1168 44 an an DT A34005 1168 45 Acute acute JJ A34005 1168 46 or or CC A34005 1168 47 an an DT A34005 1168 48 Obtuse Obtuse NNP A34005 1168 49 angle angle NN A34005 1168 50 , , , A34005 1168 51 and and CC A34005 1168 52 so so RB A34005 1168 53 it -PRON- PRP A34005 1168 54 may may MD A34005 1168 55 also also RB A34005 1168 56 do do VB A34005 1168 57 if if IN A34005 1168 58 it -PRON- PRP A34005 1168 59 be be VB A34005 1168 60 greater great JJR A34005 1168 61 then then RB A34005 1168 62 a a DT A34005 1168 63 Quadrant Quadrant NNP A34005 1168 64 , , , A34005 1168 65 yet yet CC A34005 1168 66 we -PRON- PRP A34005 1168 67 may may MD A34005 1168 68 determine determine VB A34005 1168 69 , , , A34005 1168 70 That that IN A34005 1168 71 when when WRB A34005 1168 72 the the DT A34005 1168 73 given give VBN A34005 1168 74 angle angle NN A34005 1168 75 is be VBZ A34005 1168 76 acute acute JJ A34005 1168 77 , , , A34005 1168 78 and and CC A34005 1168 79 the the DT A34005 1168 80 opposite opposite JJ A34005 1168 81 side side NN A34005 1168 82 less less RBR A34005 1168 83 then then RB A34005 1168 84 a a DT A34005 1168 85 Quadrant Quadrant NNP A34005 1168 86 , , , A34005 1168 87 but but CC A34005 1168 88 greater great JJR A34005 1168 89 then then RB A34005 1168 90 the the DT A34005 1168 91 Complement Complement NNP A34005 1168 92 of of IN A34005 1168 93 the the DT A34005 1168 94 adjacent adjacent JJ A34005 1168 95 side side NN A34005 1168 96 to to IN A34005 1168 97 a a DT A34005 1168 98 Semicircle Semicircle NNP A34005 1168 99 ( ( -LRB- A34005 1168 100 which which WDT A34005 1168 101 it -PRON- PRP A34005 1168 102 can can MD A34005 1168 103 not not RB A34005 1168 104 be be VB A34005 1168 105 unless unless IN A34005 1168 106 the the DT A34005 1168 107 adjacent adjacent JJ A34005 1168 108 side side NN A34005 1168 109 be be VB A34005 1168 110 greater great JJR A34005 1168 111 then then RB A34005 1168 112 a a DT A34005 1168 113 Quadrant Quadrant NNP A34005 1168 114 ) ) -RRB- A34005 1168 115 the the DT A34005 1168 116 angle angle NN A34005 1168 117 opposite opposite IN A34005 1168 118 thereto thereto NNP A34005 1168 119 will will MD A34005 1168 120 be be VB A34005 1168 121 obtuse obtuse JJ A34005 1168 122 . . . A34005 1169 1 3 3 LS A34005 1169 2 . . . A34005 1170 1 The the DT A34005 1170 2 given give VBN A34005 1170 3 angle angle NN A34005 1170 4 Acute Acute NNP A34005 1170 5 , , , A34005 1170 6 and and CC A34005 1170 7 the the DT A34005 1170 8 opposite opposite JJ A34005 1170 9 side side NN A34005 1170 10 greater great JJR A34005 1170 11 then then RB A34005 1170 12 a a DT A34005 1170 13 Quadrant Quadrant NNP A34005 1170 14 , , , A34005 1170 15 and and CC A34005 1170 16 the the DT A34005 1170 17 other other JJ A34005 1170 18 side side NN A34005 1170 19 greater great JJR A34005 1170 20 . . . A34005 1171 1 If if IN A34005 1171 2 two two CD A34005 1171 3 sides side NNS A34005 1171 4 be be VB A34005 1171 5 greater great JJR A34005 1171 6 then then RB A34005 1171 7 Quadrants Quadrants NNPS A34005 1171 8 , , , A34005 1171 9 if if IN A34005 1171 10 one one CD A34005 1171 11 of of IN A34005 1171 12 them -PRON- PRP A34005 1171 13 subtends subtend VBZ A34005 1171 14 an an DT A34005 1171 15 Acute acute JJ A34005 1171 16 angle angle NN A34005 1171 17 , , , A34005 1171 18 the the DT A34005 1171 19 other other JJ A34005 1171 20 must must MD A34005 1171 21 subtend subtend VB A34005 1171 22 an an DT A34005 1171 23 Obtuse Obtuse NNP A34005 1171 24 angle angle NN A34005 1171 25 , , , A34005 1171 26 by by IN A34005 1171 27 the the DT A34005 1171 28 1st 1st NN A34005 1171 29 . . . A34005 1172 1 Affection affection NN A34005 1172 2 in in IN A34005 1172 3 pag pag NNP A34005 1172 4 58 58 CD A34005 1172 5 . . . A34005 1173 1 4 4 LS A34005 1173 2 . . . A34005 1174 1 The the DT A34005 1174 2 given give VBN A34005 1174 3 angle angle NN A34005 1174 4 Acute Acute NNP A34005 1174 5 , , , A34005 1174 6 and and CC A34005 1174 7 the the DT A34005 1174 8 opposite opposite JJ A34005 1174 9 side side NN A34005 1174 10 greater great JJR A34005 1174 11 then then RB A34005 1174 12 a a DT A34005 1174 13 Quadrant Quadrant NNP A34005 1174 14 ; ; : A34005 1174 15 The the DT A34005 1174 16 other other JJ A34005 1174 17 side side NN A34005 1174 18 can can MD A34005 1174 19 not not RB A34005 1174 20 be be VB A34005 1174 21 lesser less JJR A34005 1174 22 then then RB A34005 1174 23 the the DT A34005 1174 24 former former JJ A34005 1174 25 , , , A34005 1174 26 by by IN A34005 1174 27 what what WP A34005 1174 28 was be VBD A34005 1174 29 now now RB A34005 1174 30 spoken speak VBN A34005 1174 31 . . . A34005 1175 1 5 5 CD A34005 1175 2 . . . A34005 1176 1 If if IN A34005 1176 2 the the DT A34005 1176 3 given give VBN A34005 1176 4 angle angle NN A34005 1176 5 be be VBP A34005 1176 6 Obtuse Obtuse NNP A34005 1176 7 , , , A34005 1176 8 and and CC A34005 1176 9 the the DT A34005 1176 10 opposite opposite JJ A34005 1176 11 side side NN A34005 1176 12 less less RBR A34005 1176 13 then then RB A34005 1176 14 Quadrant Quadrant NNP A34005 1176 15 , , , A34005 1176 16 the the DT A34005 1176 17 other other JJ A34005 1176 18 side side NN A34005 1176 19 less less JJR A34005 1176 20 subtends subtend VBZ A34005 1176 21 an an DT A34005 1176 22 Acute acute JJ A34005 1176 23 angle angle NN A34005 1176 24 . . . A34005 1177 1 6 6 CD A34005 1177 2 . . . A34005 1178 1 If if IN A34005 1178 2 the the DT A34005 1178 3 given give VBN A34005 1178 4 angle angle NN A34005 1178 5 be be VBP A34005 1178 6 Obtuse Obtuse NNP A34005 1178 7 , , , A34005 1178 8 and and CC A34005 1178 9 the the DT A34005 1178 10 opposite opposite JJ A34005 1178 11 side side NN A34005 1178 12 less less RBR A34005 1178 13 then then RB A34005 1178 14 a a DT A34005 1178 15 Quadrant Quadrant NNP A34005 1178 16 ; ; : A34005 1178 17 The the DT A34005 1178 18 other other JJ A34005 1178 19 side side NN A34005 1178 20 greater great JJR A34005 1178 21 then then RB A34005 1178 22 the the DT A34005 1178 23 former former JJ A34005 1178 24 side side NN A34005 1178 25 must must MD A34005 1178 26 of of IN A34005 1178 27 necessity necessity NN A34005 1178 28 be be VB A34005 1178 29 also also RB A34005 1178 30 greater great JJR A34005 1178 31 then then RB A34005 1178 32 a a DT A34005 1178 33 Quadrant Quadrant NNP A34005 1178 34 , , , A34005 1178 35 otherwise otherwise RB A34005 1178 36 two two CD A34005 1178 37 sides side NNS A34005 1178 38 less less JJR A34005 1178 39 then then RB A34005 1178 40 Quadrants Quadrants NNP A34005 1178 41 should should MD A34005 1178 42 subtend subtend VB A34005 1178 43 two two CD A34005 1178 44 Obtuse Obtuse NNP A34005 1178 45 angles angle NNS A34005 1178 46 , , , A34005 1178 47 contrary contrary JJ A34005 1178 48 to to IN A34005 1178 49 the the DT A34005 1178 50 first first JJ A34005 1178 51 Affection Affection NNP A34005 1178 52 in in IN A34005 1178 53 p p NN A34005 1178 54 58 58 CD A34005 1178 55 . . . A34005 1179 1 7 7 LS A34005 1179 2 . . . A34005 1180 1 If if IN A34005 1180 2 the the DT A34005 1180 3 given give VBN A34005 1180 4 angle angle NN A34005 1180 5 be be VBP A34005 1180 6 Obtuse Obtuse NNP A34005 1180 7 , , , A34005 1180 8 and and CC A34005 1180 9 the the DT A34005 1180 10 Opposite opposite JJ A34005 1180 11 side side NN A34005 1180 12 greater great JJR A34005 1180 13 then then RB A34005 1180 14 a a DT A34005 1180 15 Quadrant Quadrant NNP A34005 1180 16 ; ; : A34005 1180 17 If if IN A34005 1180 18 the the DT A34005 1180 19 other other JJ A34005 1180 20 side side NN A34005 1180 21 be be VB A34005 1180 22 greater great JJR A34005 1180 23 then then RB A34005 1180 24 the the DT A34005 1180 25 former former JJ A34005 1180 26 it -PRON- PRP A34005 1180 27 will will MD A34005 1180 28 subtend subtend VB A34005 1180 29 a a DT A34005 1180 30 more more JJR A34005 1180 31 Obtuse Obtuse NNP A34005 1180 32 angle angle NN A34005 1180 33 . . . A34005 1181 1 8 8 LS A34005 1181 2 . . . A34005 1182 1 If if IN A34005 1182 2 the the DT A34005 1182 3 given give VBN A34005 1182 4 angle angle NN A34005 1182 5 be be VBP A34005 1182 6 Obtuse Obtuse NNP A34005 1182 7 , , , A34005 1182 8 and and CC A34005 1182 9 the the DT A34005 1182 10 Opposite opposite JJ A34005 1182 11 side side NN A34005 1182 12 greater great JJR A34005 1182 13 then then RB A34005 1182 14 a a DT A34005 1182 15 Quadrant Quadrant NNP A34005 1182 16 , , , A34005 1182 17 If if IN A34005 1182 18 the the DT A34005 1182 19 other other JJ A34005 1182 20 side side NN A34005 1182 21 be be VB A34005 1182 22 less less JJR A34005 1182 23 then then RB A34005 1182 24 the the DT A34005 1182 25 former former JJ A34005 1182 26 , , , A34005 1182 27 whether whether IN A34005 1182 28 it -PRON- PRP A34005 1182 29 be be VB A34005 1182 30 lesser less JJR A34005 1182 31 or or CC A34005 1182 32 greater great JJR A34005 1182 33 then then RB A34005 1182 34 a a DT A34005 1182 35 Quadrant Quadrant NNP A34005 1182 36 it -PRON- PRP A34005 1182 37 may may MD A34005 1182 38 either either CC A34005 1182 39 subtend subtend VB A34005 1182 40 an an DT A34005 1182 41 Acute acute JJ A34005 1182 42 or or CC A34005 1182 43 Obtuse Obtuse NNP A34005 1182 44 angle angle NN A34005 1182 45 . . . A34005 1183 1 But but CC A34005 1183 2 we -PRON- PRP A34005 1183 3 may may MD A34005 1183 4 determine determine VB A34005 1183 5 That that IN A34005 1183 6 when when WRB A34005 1183 7 the the DT A34005 1183 8 given give VBN A34005 1183 9 angle angle NN A34005 1183 10 is be VBZ A34005 1183 11 Obtuse Obtuse NNP A34005 1183 12 , , , A34005 1183 13 and and CC A34005 1183 14 the the DT A34005 1183 15 Opposite opposite JJ A34005 1183 16 side side NN A34005 1183 17 greater great JJR A34005 1183 18 then then RB A34005 1183 19 a a DT A34005 1183 20 Quadrant Quadrant NNP A34005 1183 21 ; ; : A34005 1183 22 If if IN A34005 1183 23 the the DT A34005 1183 24 Complement Complement NNP A34005 1183 25 of of IN A34005 1183 26 the the DT A34005 1183 27 adjacent adjacent JJ A34005 1183 28 side side NN A34005 1183 29 to to IN A34005 1183 30 a a DT A34005 1183 31 Semicircle Semicircle NNP A34005 1183 32 be be VB A34005 1183 33 greater great JJR A34005 1183 34 then then RB A34005 1183 35 the the DT A34005 1183 36 said say VBD A34005 1183 37 opposite opposite JJ A34005 1183 38 side side NN A34005 1183 39 , , , A34005 1183 40 the the DT A34005 1183 41 angle angle NN A34005 1183 42 subtended subtend VBN A34005 1183 43 by by IN A34005 1183 44 the the DT A34005 1183 45 said say VBN A34005 1183 46 adjacent adjacent JJ A34005 1183 47 side side NN A34005 1183 48 is be VBZ A34005 1183 49 Acute acute JJ A34005 1183 50 . . . A34005 1184 1 Two two CD A34005 1184 2 Angles angle NNS A34005 1184 3 with with IN A34005 1184 4 a a DT A34005 1184 5 side side NN A34005 1184 6 Opposite opposite JJ A34005 1184 7 to to IN A34005 1184 8 one one CD A34005 1184 9 of of IN A34005 1184 10 them -PRON- PRP A34005 1184 11 , , , A34005 1184 12 to to TO A34005 1184 13 determine determine VB A34005 1184 14 the the DT A34005 1184 15 Affection Affection NNP A34005 1184 16 of of IN A34005 1184 17 the the DT A34005 1184 18 side side NN A34005 1184 19 opposite opposite RB A34005 1184 20 to to IN A34005 1184 21 the the DT A34005 1184 22 other other JJ A34005 1184 23 . . . A34005 1185 1 1 1 LS A34005 1185 2 . . . A34005 1186 1 If if IN A34005 1186 2 the the DT A34005 1186 3 given give VBN A34005 1186 4 angle angle NN A34005 1186 5 be be VB A34005 1186 6 Acute acute JJ A34005 1186 7 , , , A34005 1186 8 and and CC A34005 1186 9 the the DT A34005 1186 10 opposite opposite JJ A34005 1186 11 side side NN A34005 1186 12 less less RBR A34005 1186 13 then then RB A34005 1186 14 a a DT A34005 1186 15 Quadrant quadrant NN A34005 1186 16 ; ; : A34005 1186 17 If if IN A34005 1186 18 the the DT A34005 1186 19 other other JJ A34005 1186 20 angle angle NN A34005 1186 21 be be VB A34005 1186 22 less less JJR A34005 1186 23 , , , A34005 1186 24 the the DT A34005 1186 25 side side NN A34005 1186 26 opposite opposite IN A34005 1186 27 thereto thereto NN A34005 1186 28 shall shall MD A34005 1186 29 be be VB A34005 1186 30 less less JJR A34005 1186 31 then then RB A34005 1186 32 a a DT A34005 1186 33 Quadrant quadrant NN A34005 1186 34 because because IN A34005 1186 35 it -PRON- PRP A34005 1186 36 subtends subtend VBZ A34005 1186 37 a a DT A34005 1186 38 lesser less JJR A34005 1186 39 angle angle NN A34005 1186 40 . . . A34005 1187 1 2 2 LS A34005 1187 2 . . . A34005 1188 1 If if IN A34005 1188 2 the the DT A34005 1188 3 given give VBN A34005 1188 4 angle angle NN A34005 1188 5 be be VB A34005 1188 6 Acute acute JJ A34005 1188 7 , , , A34005 1188 8 and and CC A34005 1188 9 the the DT A34005 1188 10 Opposite opposite JJ A34005 1188 11 side side NN A34005 1188 12 less less RBR A34005 1188 13 then then RB A34005 1188 14 a a DT A34005 1188 15 Quadrant Quadrant NNP A34005 1188 16 , , , A34005 1188 17 If if IN A34005 1188 18 the the DT A34005 1188 19 other other JJ A34005 1188 20 angle angle NN A34005 1188 21 be be VB A34005 1188 22 greater great JJR A34005 1188 23 the the DT A34005 1188 24 Case Case NNP A34005 1188 25 is be VBZ A34005 1188 26 ambiguous ambiguous JJ A34005 1188 27 , , , A34005 1188 28 yet yet CC A34005 1188 29 we -PRON- PRP A34005 1188 30 may may MD A34005 1188 31 determine determine VB A34005 1188 32 , , , A34005 1188 33 If if IN A34005 1188 34 the the DT A34005 1188 35 given give VBN A34005 1188 36 angle angle NN A34005 1188 37 be be VB A34005 1188 38 Acute acute JJ A34005 1188 39 , , , A34005 1188 40 and and CC A34005 1188 41 the the DT A34005 1188 42 opposite opposite JJ A34005 1188 43 side side NN A34005 1188 44 lesser lesser RBR A34005 1188 45 then then RB A34005 1188 46 a a DT A34005 1188 47 Quadrant Quadrant NNP A34005 1188 48 , , , A34005 1188 49 if if IN A34005 1188 50 the the DT A34005 1188 51 Complement Complement NNP A34005 1188 52 of of IN A34005 1188 53 the the DT A34005 1188 54 other other JJ A34005 1188 55 angle angle NN A34005 1188 56 to to IN A34005 1188 57 a a DT A34005 1188 58 Semicircle Semicircle NNP A34005 1188 59 be be VB A34005 1188 60 less less JJR A34005 1188 61 then then RB A34005 1188 62 the the DT A34005 1188 63 Acute acute JJ A34005 1188 64 angle angle NN A34005 1188 65 ( ( -LRB- A34005 1188 66 which which WDT A34005 1188 67 it -PRON- PRP A34005 1188 68 can can MD A34005 1188 69 not not RB A34005 1188 70 be be VB A34005 1188 71 but but CC A34005 1188 72 when when WRB A34005 1188 73 the the DT A34005 1188 74 latter latter JJ A34005 1188 75 angle angle NN A34005 1188 76 is be VBZ A34005 1188 77 Obtuse Obtuse NNP A34005 1188 78 ) ) -RRB- A34005 1188 79 the the DT A34005 1188 80 side side NN A34005 1188 81 subtending subtend VBG A34005 1188 82 it -PRON- PRP A34005 1188 83 shall shall MD A34005 1188 84 be be VB A34005 1188 85 greater great JJR A34005 1188 86 then then RB A34005 1188 87 a a DT A34005 1188 88 Quadrant Quadrant NNP A34005 1188 89 . . . A34005 1189 1 3 3 LS A34005 1189 2 . . . A34005 1190 1 If if IN A34005 1190 2 the the DT A34005 1190 3 given give VBN A34005 1190 4 angle angle NN A34005 1190 5 be be VB A34005 1190 6 Acute acute JJ A34005 1190 7 , , , A34005 1190 8 and and CC A34005 1190 9 the the DT A34005 1190 10 opposite opposite JJ A34005 1190 11 side side NN A34005 1190 12 grnater grnater NN A34005 1190 13 then then RB A34005 1190 14 a a DT A34005 1190 15 Quadrant Quadrant NNP A34005 1190 16 , , , A34005 1190 17 if if IN A34005 1190 18 the the DT A34005 1190 19 other other JJ A34005 1190 20 angle angle NN A34005 1190 21 be be VB A34005 1190 22 lesser less JJR A34005 1190 23 . . . A34005 1191 1 Then then RB A34005 1191 2 by by IN A34005 1191 3 12 12 CD A34005 1191 4 of of IN A34005 1191 5 4 4 CD A34005 1191 6 book book NN A34005 1191 7 of of IN A34005 1191 8 Regiomontanus Regiomontanus NNP A34005 1191 9 , , , A34005 1191 10 if if IN A34005 1191 11 two two CD A34005 1191 12 Acute acute JJ A34005 1191 13 angles angle NNS A34005 1191 14 be be VB A34005 1191 15 unequal unequal JJ A34005 1191 16 , , , A34005 1191 17 the the DT A34005 1191 18 side side NN A34005 1191 19 opposite opposite RB A34005 1191 20 to to IN A34005 1191 21 the the DT A34005 1191 22 lesser less JJR A34005 1191 23 of of IN A34005 1191 24 them -PRON- PRP A34005 1191 25 shall shall MD A34005 1191 26 be be VB A34005 1191 27 less less JJR A34005 1191 28 then then RB A34005 1191 29 a a DT A34005 1191 30 Quadrant Quadrant NNP A34005 1191 31 . . . A34005 1192 1 4 4 LS A34005 1192 2 . . . A34005 1193 1 If if IN A34005 1193 2 the the DT A34005 1193 3 given give VBN A34005 1193 4 angle angle NN A34005 1193 5 be be VB A34005 1193 6 Acute acute JJ A34005 1193 7 , , , A34005 1193 8 and and CC A34005 1193 9 the the DT A34005 1193 10 opposite opposite JJ A34005 1193 11 side side NN A34005 1193 12 greater great JJR A34005 1193 13 then then RB A34005 1193 14 a a DT A34005 1193 15 Quadrant Quadrant NNP A34005 1193 16 , , , A34005 1193 17 If if IN A34005 1193 18 the the DT A34005 1193 19 other other JJ A34005 1193 20 angle angle NN A34005 1193 21 be be VB A34005 1193 22 greater great JJR A34005 1193 23 , , , A34005 1193 24 It -PRON- PRP A34005 1193 25 must must MD A34005 1193 26 of of IN A34005 1193 27 necessity necessity NN A34005 1193 28 be be VB A34005 1193 29 Obtuse Obtuse NNP A34005 1193 30 , , , A34005 1193 31 because because IN A34005 1193 32 otherways otherways RB A34005 1193 33 two two CD A34005 1193 34 Acute acute JJ A34005 1193 35 unequal unequal JJ A34005 1193 36 angles angle NNS A34005 1193 37 , , , A34005 1193 38 the the DT A34005 1193 39 side side NN A34005 1193 40 opposite opposite RB A34005 1193 41 to to IN A34005 1193 42 the the DT A34005 1193 43 lesser less JJR A34005 1193 44 of of IN A34005 1193 45 them -PRON- PRP A34005 1193 46 should should MD A34005 1193 47 not not RB A34005 1193 48 be be VB A34005 1193 49 lesser less JJR A34005 1193 50 then then RB A34005 1193 51 a a DT A34005 1193 52 Quadrant Quadrant NNP A34005 1193 53 , , , A34005 1193 54 contraty contraty VBZ A34005 1193 55 the the DT A34005 1193 56 former former JJ A34005 1193 57 place place NN A34005 1193 58 of of IN A34005 1193 59 Regiomontanus Regiomontanus NNP A34005 1193 60 . . . A34005 1194 1 5 5 CD A34005 1194 2 . . . A34005 1195 1 If if IN A34005 1195 2 the the DT A34005 1195 3 given give VBN A34005 1195 4 angle angle NN A34005 1195 5 be be VBP A34005 1195 6 Obtuse Obtuse NNP A34005 1195 7 , , , A34005 1195 8 and and CC A34005 1195 9 the the DT A34005 1195 10 opposite opposite JJ A34005 1195 11 side side NN A34005 1195 12 lesser lesser RBR A34005 1195 13 then then RB A34005 1195 14 a a DT A34005 1195 15 Quadrant Quadrant NNP A34005 1195 16 , , , A34005 1195 17 If if IN A34005 1195 18 the the DT A34005 1195 19 other other JJ A34005 1195 20 angle angle NN A34005 1195 21 be be VB A34005 1195 22 lesser less JJR A34005 1195 23 , , , A34005 1195 24 It -PRON- PRP A34005 1195 25 must must MD A34005 1195 26 of of IN A34005 1195 27 necessity necessity NN A34005 1195 28 be be VB A34005 1195 29 Acute acute JJ A34005 1195 30 , , , A34005 1195 31 and and CC A34005 1195 32 the the DT A34005 1195 33 side side NN A34005 1195 34 subtending subtend VBG A34005 1195 35 it -PRON- PRP A34005 1195 36 less less RBR A34005 1195 37 then then RB A34005 1195 38 a a DT A34005 1195 39 Quadrant Quadrant NNP A34005 1195 40 , , , A34005 1195 41 otherways otherway VBZ A34005 1195 42 two two CD A34005 1195 43 sides side NNS A34005 1195 44 less less JJR A34005 1195 45 then then RB A34005 1195 46 Quadrants Quadrants NNP A34005 1195 47 should should MD A34005 1195 48 subtend subtend VB A34005 1195 49 two two CD A34005 1195 50 Obtuse Obtuse NNP A34005 1195 51 angles angle NNS A34005 1195 52 , , , A34005 1195 53 contrary contrary JJ A34005 1195 54 to to IN A34005 1195 55 1st 1st JJ A34005 1195 56 Affection Affection NNP A34005 1195 57 in in IN A34005 1195 58 page page NN A34005 1195 59 58 58 CD A34005 1195 60 . . . A34005 1196 1 6 6 CD A34005 1196 2 . . . A34005 1197 1 If if IN A34005 1197 2 the the DT A34005 1197 3 given give VBN A34005 1197 4 angle angle NN A34005 1197 5 be be VBP A34005 1197 6 Obtuse Obtuse NNP A34005 1197 7 , , , A34005 1197 8 and and CC A34005 1197 9 the the DT A34005 1197 10 opposite opposite JJ A34005 1197 11 side side NN A34005 1197 12 less less RBR A34005 1197 13 then then RB A34005 1197 14 a a DT A34005 1197 15 Quadrant Quadrant NNP A34005 1197 16 , , , A34005 1197 17 If if IN A34005 1197 18 the the DT A34005 1197 19 other other JJ A34005 1197 20 angle angle NN A34005 1197 21 be be VB A34005 1197 22 greater great JJR A34005 1197 23 , , , A34005 1197 24 By by IN A34005 1197 25 13 13 CD A34005 1197 26 Prop Prop NNP A34005 1197 27 of of IN A34005 1197 28 4 4 CD A34005 1197 29 h h NN A34005 1197 30 of of IN A34005 1197 31 Regiomontanus Regiomontanus NNP A34005 1197 32 , , , A34005 1197 33 if if IN A34005 1197 34 a a DT A34005 1197 35 Triangle Triangle NNP A34005 1197 36 have have VBP A34005 1197 37 two two CD A34005 1197 38 Obtuse Obtuse NNP A34005 1197 39 unequal unequal JJ A34005 1197 40 angles angle NNS A34005 1197 41 , , , A34005 1197 42 the the DT A34005 1197 43 side side NN A34005 1197 44 opposite opposite RB A34005 1197 45 to to IN A34005 1197 46 the the DT A34005 1197 47 greater great JJR A34005 1197 48 of of IN A34005 1197 49 them -PRON- PRP A34005 1197 50 shall shall MD A34005 1197 51 be be VB A34005 1197 52 greater great JJR A34005 1197 53 then then RB A34005 1197 54 a a DT A34005 1197 55 Quadrant Quadrant NNP A34005 1197 56 . . . A34005 1198 1 7 7 LS A34005 1198 2 . . . A34005 1199 1 If if IN A34005 1199 2 the the DT A34005 1199 3 given give VBN A34005 1199 4 angle angle NN A34005 1199 5 be be VBP A34005 1199 6 Obtuse Obtuse NNP A34005 1199 7 , , , A34005 1199 8 and and CC A34005 1199 9 the the DT A34005 1199 10 opposite opposite JJ A34005 1199 11 side side NN A34005 1199 12 greater great JJR A34005 1199 13 then then RB A34005 1199 14 a a DT A34005 1199 15 Quadrant Quadrant NNP A34005 1199 16 , , , A34005 1199 17 If if IN A34005 1199 18 the the DT A34005 1199 19 other other JJ A34005 1199 20 angle angle NN A34005 1199 21 be be VB A34005 1199 22 greater great JJR A34005 1199 23 or or CC A34005 1199 24 more more JJR A34005 1199 25 obtuse obtuse NN A34005 1199 26 then then RB A34005 1199 27 the the DT A34005 1199 28 former former JJ A34005 1199 29 ; ; : A34005 1199 30 it -PRON- PRP A34005 1199 31 is be VBZ A34005 1199 32 subtended subtend VBN A34005 1199 33 by by IN A34005 1199 34 a a DT A34005 1199 35 greater great JJR A34005 1199 36 side side NN A34005 1199 37 . . . A34005 1200 1 8 8 LS A34005 1200 2 . . . A34005 1201 1 If if IN A34005 1201 2 the the DT A34005 1201 3 given give VBN A34005 1201 4 angle angle NN A34005 1201 5 be be VBP A34005 1201 6 Obtuse Obtuse NNP A34005 1201 7 , , , A34005 1201 8 and and CC A34005 1201 9 the the DT A34005 1201 10 opposite opposite JJ A34005 1201 11 side side NN A34005 1201 12 greater great JJR A34005 1201 13 then then RB A34005 1201 14 a a DT A34005 1201 15 Quadrant Quadrant NNP A34005 1201 16 , , , A34005 1201 17 If if IN A34005 1201 18 the the DT A34005 1201 19 other other JJ A34005 1201 20 angle angle NN A34005 1201 21 be be VB A34005 1201 22 less less JJR A34005 1201 23 then then RB A34005 1201 24 the the DT A34005 1201 25 former former JJ A34005 1201 26 , , , A34005 1201 27 the the DT A34005 1201 28 Case Case NNP A34005 1201 29 is be VBZ A34005 1201 30 ambiguous ambiguous JJ A34005 1201 31 ; ; : A34005 1201 32 yet yet CC A34005 1201 33 we -PRON- PRP A34005 1201 34 may may MD A34005 1201 35 determine determine VB A34005 1201 36 , , , A34005 1201 37 That that IN A34005 1201 38 when when WRB A34005 1201 39 the the DT A34005 1201 40 given give VBN A34005 1201 41 angle angle NN A34005 1201 42 is be VBZ A34005 1201 43 Obtuse Obtuse NNP A34005 1201 44 , , , A34005 1201 45 and and CC A34005 1201 46 the the DT A34005 1201 47 opposite opposite JJ A34005 1201 48 side side NN A34005 1201 49 greater great JJR A34005 1201 50 then then RB A34005 1201 51 a a DT A34005 1201 52 Quadrant Quadrant NNP A34005 1201 53 , , , A34005 1201 54 if if IN A34005 1201 55 the the DT A34005 1201 56 other other JJ A34005 1201 57 angle angle NN A34005 1201 58 be be VB A34005 1201 59 less less JJR A34005 1201 60 then then RB A34005 1201 61 the the DT A34005 1201 62 Complement Complement NNP A34005 1201 63 of of IN A34005 1201 64 the the DT A34005 1201 65 said say VBD A34005 1201 66 Obtuse Obtuse NNP A34005 1201 67 angle angle NN A34005 1201 68 to to IN A34005 1201 69 a a DT A34005 1201 70 Semicircle Semicircle NNP A34005 1201 71 , , , A34005 1201 72 the the DT A34005 1201 73 side side NN A34005 1201 74 subtending subtend VBG A34005 1201 75 it -PRON- PRP A34005 1201 76 shall shall MD A34005 1201 77 be be VB A34005 1201 78 less less JJR A34005 1201 79 then then RB A34005 1201 80 a a DT A34005 1201 81 Quadrant Quadrant NNP A34005 1201 82 . . . A34005 1202 1 The the DT A34005 1202 2 former former JJ A34005 1202 3 Cases case NNS A34005 1202 4 that that WDT A34005 1202 5 are be VBP A34005 1202 6 still still RB A34005 1202 7 , , , A34005 1202 8 and and CC A34005 1202 9 alwais alwais NNP A34005 1202 10 will will MD A34005 1202 11 be be VB A34005 1202 12 doubtful doubtful JJ A34005 1202 13 , , , A34005 1202 14 may may MD A34005 1202 15 be be VB A34005 1202 16 determined determine VBN A34005 1202 17 when when WRB A34005 1202 18 three three CD A34005 1202 19 sides side NNS A34005 1202 20 are be VBP A34005 1202 21 given give VBN A34005 1202 22 . . . A34005 1203 1 A a DT A34005 1203 2 Sphoerical sphoerical JJ A34005 1203 3 Triangle Triangle NNP A34005 1203 4 having have VBG A34005 1203 5 two two CD A34005 1203 6 sides side NNS A34005 1203 7 less less JJR A34005 1203 8 then then RB A34005 1203 9 Quadrants Quadrants NNPS A34005 1203 10 and and CC A34005 1203 11 one one CD A34005 1203 12 greater great JJR A34005 1203 13 , , , A34005 1203 14 will will MD A34005 1203 15 always always RB A34005 1203 16 have have VB A34005 1203 17 one one CD A34005 1203 18 Obtuse Obtuse NNP A34005 1203 19 angle angle NN A34005 1203 20 opposite opposite RB A34005 1203 21 to to IN A34005 1203 22 that that DT A34005 1203 23 greater great JJR A34005 1203 24 side side NN A34005 1203 25 , , , A34005 1203 26 and and CC A34005 1203 27 both both CC A34005 1203 28 the the DT A34005 1203 29 other other JJ A34005 1203 30 angles angle NNS A34005 1203 31 Acute Acute NNP A34005 1203 32 . . . A34005 1204 1 A a DT A34005 1204 2 Sphoerical sphoerical JJ A34005 1204 3 Triangle Triangle NNP A34005 1204 4 having have VBG A34005 1204 5 three three CD A34005 1204 6 sides side NNS A34005 1204 7 less less JJR A34005 1204 8 then then RB A34005 1204 9 Quadrants Quadrants NNPS A34005 1204 10 , , , A34005 1204 11 can can MD A34005 1204 12 have have VB A34005 1204 13 but but CC A34005 1204 14 one one CD A34005 1204 15 obtuse obtuse JJ A34005 1204 16 angle angle NN A34005 1204 17 ( ( -LRB- A34005 1204 18 and and CC A34005 1204 19 many many JJ A34005 1204 20 times time NNS A34005 1204 21 none none NN A34005 1204 22 ) ) -RRB- A34005 1204 23 and and CC A34005 1204 24 that that IN A34005 1204 25 obtuse obtuse JJ A34005 1204 26 angle angle NN A34005 1204 27 shall shall MD A34005 1204 28 be be VB A34005 1204 29 subtended subtend VBN A34005 1204 30 by by IN A34005 1204 31 the the DT A34005 1204 32 greatest great JJS A34005 1204 33 side side NN A34005 1204 34 ; ; : A34005 1204 35 But but CC A34005 1204 36 whether whether IN A34005 1204 37 the the DT A34005 1204 38 greatest great JJS A34005 1204 39 side side NN A34005 1204 40 subtend subtend VBP A34005 1204 41 an an DT A34005 1204 42 Acute acute JJ A34005 1204 43 or or CC A34005 1204 44 Obtuse Obtuse NNP A34005 1204 45 angle angle NN A34005 1204 46 can can MD A34005 1204 47 not not RB A34005 1204 48 be be VB A34005 1204 49 known know VBN A34005 1204 50 , , , A34005 1204 51 unless unless IN A34005 1204 52 given give VBN A34005 1204 53 or or CC A34005 1204 54 found find VBN A34005 1204 55 by by IN A34005 1204 56 Calculation Calculation NNP A34005 1204 57 , , , A34005 1204 58 and and CC A34005 1204 59 that that DT A34005 1204 60 may may MD A34005 1204 61 be be VB A34005 1204 62 found find VBN A34005 1204 63 several several JJ A34005 1204 64 ways way NNS A34005 1204 65 . . . A34005 1205 1 First first RB A34005 1205 2 by by IN A34005 1205 3 help help NN A34005 1205 4 of of IN A34005 1205 5 the the DT A34005 1205 6 Leggs Leggs NNP A34005 1205 7 or or CC A34005 1205 8 Sides Sides NNPS A34005 1205 9 including include VBG A34005 1205 10 the the DT A34005 1205 11 angle angle NN A34005 1205 12 sought seek VBN A34005 1205 13 by by IN A34005 1205 14 15 15 CD A34005 1205 15 ● ● . A34005 1205 16 Case case NN A34005 1205 17 of of IN A34005 1205 18 right right RB A34005 1205 19 angled angle VBN A34005 1205 20 Sphoerical Sphoerical NNP A34005 1205 21 Triangles Triangles NNPS A34005 1205 22 . . . A34005 1206 1 As as IN A34005 1206 2 the the DT A34005 1206 3 Radius Radius NNP A34005 1206 4 , , , A34005 1206 5 To to IN A34005 1206 6 the the DT A34005 1206 7 Cosine Cosine NNP A34005 1206 8 of of IN A34005 1206 9 one one CD A34005 1206 10 of of IN A34005 1206 11 those those DT A34005 1206 12 Leggs Leggs NNP A34005 1206 13 ; ; : A34005 1206 14 So so RB A34005 1206 15 is be VBZ A34005 1206 16 the the DT A34005 1206 17 Cosine Cosine NNP A34005 1206 18 of of IN A34005 1206 19 the the DT A34005 1206 20 other other JJ A34005 1206 21 Legg Legg NNP A34005 1206 22 , , , A34005 1206 23 To to IN A34005 1206 24 the the DT A34005 1206 25 Sine Sine NNP A34005 1206 26 of of IN A34005 1206 27 a a DT A34005 1206 28 fourth fourth JJ A34005 1206 29 Arch Arch NNP A34005 1206 30 . . . A34005 1207 1 If if IN A34005 1207 2 the the DT A34005 1207 3 third third JJ A34005 1207 4 side side NN A34005 1207 5 be be VB A34005 1207 6 greater great JJR A34005 1207 7 then then RB A34005 1207 8 the the DT A34005 1207 9 Complement Complement NNP A34005 1207 10 of of IN A34005 1207 11 the the DT A34005 1207 12 fourth fourth JJ A34005 1207 13 Arch Arch NNP A34005 1207 14 to to IN A34005 1207 15 90d 90d CD A34005 1207 16 , , , A34005 1207 17 the the DT A34005 1207 18 angle angle NN A34005 1207 19 included include VBN A34005 1207 20 is be VBZ A34005 1207 21 Obtuse Obtuse NNP A34005 1207 22 , , , A34005 1207 23 if if IN A34005 1207 24 equal equal JJ A34005 1207 25 to to IN A34005 1207 26 it -PRON- PRP A34005 1207 27 a a DT A34005 1207 28 right right JJ A34005 1207 29 angle angle NN A34005 1207 30 , , , A34005 1207 31 if if IN A34005 1207 32 less less RBR A34005 1207 33 an an DT A34005 1207 34 Acute acute JJ A34005 1207 35 angle angle NN A34005 1207 36 . . . A34005 1208 1 Secondly secondly RB A34005 1208 2 , , , A34005 1208 3 By by IN A34005 1208 4 help help NN A34005 1208 5 of of IN A34005 1208 6 one one CD A34005 1208 7 of of IN A34005 1208 8 the the DT A34005 1208 9 Leggs Leggs NNP A34005 1208 10 and and CC A34005 1208 11 the the DT A34005 1208 12 Base Base NNP A34005 1208 13 or or CC A34005 1208 14 Side Side NNP A34005 1208 15 subtending subtend VBG A34005 1208 16 the the DT A34005 1208 17 angle angle NN A34005 1208 18 sought seek VBN A34005 1208 19 by by IN A34005 1208 20 7th 7th JJ A34005 1208 21 Case Case NNP A34005 1208 22 of of IN A34005 1208 23 right right RB A34005 1208 24 angled angle VBN A34005 1208 25 Sphoerical Sphoerical NNP A34005 1208 26 Triangles Triangles NNPS A34005 1208 27 . . . A34005 1209 1 As as IN A34005 1209 2 the the DT A34005 1209 3 Cosine Cosine NNP A34005 1209 4 of of IN A34005 1209 5 the the DT A34005 1209 6 adjacent adjacent JJ A34005 1209 7 side side NN A34005 1209 8 , , , A34005 1209 9 being be VBG A34005 1209 10 one one CD A34005 1209 11 of of IN A34005 1209 12 the the DT A34005 1209 13 lesser less JJR A34005 1209 14 sides side NNS A34005 1209 15 , , , A34005 1209 16 Is be VBZ A34005 1209 17 to to IN A34005 1209 18 the the DT A34005 1209 19 Radius radius NN A34005 1209 20 : : : A34005 1209 21 So so CC A34005 1209 22 the the DT A34005 1209 23 Cosine Cosine NNP A34005 1209 24 of of IN A34005 1209 25 the the DT A34005 1209 26 opposite opposite JJ A34005 1209 27 side side NN A34005 1209 28 , , , A34005 1209 29 To to IN A34005 1209 30 the the DT A34005 1209 31 sine sine NN A34005 1209 32 of of IN A34005 1209 33 a a DT A34005 1209 34 fourth fourth JJ A34005 1209 35 Arch Arch NNP A34005 1209 36 . . . A34005 1210 1 If if IN A34005 1210 2 the the DT A34005 1210 3 third third JJ A34005 1210 4 side side NN A34005 1210 5 be be VB A34005 1210 6 greater great JJR A34005 1210 7 then then RB A34005 1210 8 the the DT A34005 1210 9 Complement Complement NNP A34005 1210 10 of of IN A34005 1210 11 the the DT A34005 1210 12 4th 4th NN A34005 1210 13 Arch Arch NNP A34005 1210 14 to to IN A34005 1210 15 90d 90d CD A34005 1210 16 , , , A34005 1210 17 the the DT A34005 1210 18 angle angle NN A34005 1210 19 subtended subtend VBD A34005 1210 20 is be VBZ A34005 1210 21 Acute acute JJ A34005 1210 22 , , , A34005 1210 23 if if IN A34005 1210 24 equal equal JJ A34005 1210 25 to to IN A34005 1210 26 it -PRON- PRP A34005 1210 27 a a DT A34005 1210 28 right right JJ A34005 1210 29 angle angle NN A34005 1210 30 , , , A34005 1210 31 if if IN A34005 1210 32 less less JJR A34005 1210 33 an an DT A34005 1210 34 Obtuse Obtuse NNP A34005 1210 35 angle angle NN A34005 1210 36 . . . A34005 1211 1 All all DT A34005 1211 2 other other JJ A34005 1211 3 Cases case NNS A34005 1211 4 need need VBP A34005 1211 5 no no DT A34005 1211 6 determination determination NN A34005 1211 7 , , , A34005 1211 8 if if IN A34005 1211 9 a a DT A34005 1211 10 Triangle Triangle NNP A34005 1211 11 have have VBP A34005 1211 12 two two CD A34005 1211 13 sides side NNS A34005 1211 14 given give VBN A34005 1211 15 bigger big JJR A34005 1211 16 then then RB A34005 1211 17 Quadrants Quadrants NNPS A34005 1211 18 , , , A34005 1211 19 make make VB A34005 1211 20 recourse recourse JJ A34005 1211 21 to to IN A34005 1211 22 the the DT A34005 1211 23 opposite opposite JJ A34005 1211 24 Triangle Triangle NNP A34005 1211 25 and and CC A34005 1211 26 it -PRON- PRP A34005 1211 27 will will MD A34005 1211 28 agree agree VB A34005 1211 29 to to IN A34005 1211 30 these these DT A34005 1211 31 Cases case NNS A34005 1211 32 . . . A34005 1212 1 If if IN A34005 1212 2 three three CD A34005 1212 3 angles angle NNS A34005 1212 4 were be VBD A34005 1212 5 given give VBN A34005 1212 6 to to TO A34005 1212 7 determine determine VB A34005 1212 8 the the DT A34005 1212 9 Affection Affection NNP A34005 1212 10 of of IN A34005 1212 11 the the DT A34005 1212 12 sides side NNS A34005 1212 13 if if IN A34005 1212 14 they -PRON- PRP A34005 1212 15 were be VBD A34005 1212 16 all all RB A34005 1212 17 Acute acute JJ A34005 1212 18 the the DT A34005 1212 19 three three CD A34005 1212 20 sides side NNS A34005 1212 21 subtending subtend VBG A34005 1212 22 them -PRON- PRP A34005 1212 23 will will MD A34005 1212 24 be be VB A34005 1212 25 all all DT A34005 1212 26 less less JJR A34005 1212 27 then then RB A34005 1212 28 Quadrants Quadrants NNPS A34005 1212 29 . . . A34005 1213 1 But but CC A34005 1213 2 observe observe VB A34005 1213 3 that that IN A34005 1213 4 though though IN A34005 1213 5 a a DT A34005 1213 6 Triangle Triangle NNP A34005 1213 7 that that IN A34005 1213 8 hath hath NN A34005 1213 9 but but CC A34005 1213 10 one one CD A34005 1213 11 side side NN A34005 1213 12 greater great JJR A34005 1213 13 then then RB A34005 1213 14 a a DT A34005 1213 15 Quadrant Quadrant NNP A34005 1213 16 , , , A34005 1213 17 can can MD A34005 1213 18 and and CC A34005 1213 19 shall shall MD A34005 1213 20 always always RB A34005 1213 21 have have VB A34005 1213 22 but but CC A34005 1213 23 one one CD A34005 1213 24 Obtuse Obtuse NNP A34005 1213 25 angle angle NN A34005 1213 26 , , , A34005 1213 27 yet yet CC A34005 1213 28 a a DT A34005 1213 29 Triangle Triangle NNP A34005 1213 30 that that IN A34005 1213 31 hath hath NN A34005 1213 32 but but CC A34005 1213 33 one one CD A34005 1213 34 Obtuse Obtuse NNP A34005 1213 35 angle angle NN A34005 1213 36 may may MD A34005 1213 37 frequently frequently RB A34005 1213 38 have have VB A34005 1213 39 two two CD A34005 1213 40 sides side NNS A34005 1213 41 greater great JJR A34005 1213 42 then then RB A34005 1213 43 Quadrants Quadrants NNPS A34005 1213 44 . . . A34005 1214 1 In in IN A34005 1214 2 this this DT A34005 1214 3 and and CC A34005 1214 4 all all DT A34005 1214 5 other other JJ A34005 1214 6 Cases case NNS A34005 1214 7 let let VBP A34005 1214 8 the the DT A34005 1214 9 angles angle NNS A34005 1214 10 be be VB A34005 1214 11 changed change VBN A34005 1214 12 into into IN A34005 1214 13 sides side NNS A34005 1214 14 , , , A34005 1214 15 and and CC A34005 1214 16 the the DT A34005 1214 17 former former JJ A34005 1214 18 Rules Rules NNPS A34005 1214 19 will will MD A34005 1214 20 serue serue VB A34005 1214 21 , , , A34005 1214 22 I -PRON- PRP A34005 1214 23 should should MD A34005 1214 24 have have VB A34005 1214 25 added add VBN A34005 1214 26 a a DT A34005 1214 27 brief brief JJ A34005 1214 28 Application application NN A34005 1214 29 of of IN A34005 1214 30 all all PDT A34005 1214 31 the the DT A34005 1214 32 Axioms axiom NNS A34005 1214 33 that that WDT A34005 1214 34 are be VBP A34005 1214 35 necessary necessary JJ A34005 1214 36 to to TO A34005 1214 37 be be VB A34005 1214 38 remembred remembre VBN A34005 1214 39 , , , A34005 1214 40 and and CC A34005 1214 41 have have VBP A34005 1214 42 reduced reduce VBN A34005 1214 43 the the DT A34005 1214 44 Oblique Oblique NNP A34005 1214 45 Cases Cases NNPS A34005 1214 46 to to IN A34005 1214 47 setled setle VBD A34005 1214 48 Proportions Proportions NNP A34005 1214 49 ( ( -LRB- A34005 1214 50 with with IN A34005 1214 51 the the DT A34005 1214 52 Cadence Cadence NNP A34005 1214 53 of of IN A34005 1214 54 Perpendiculars Perpendiculars NNPS A34005 1214 55 only only RB A34005 1214 56 to to TO A34005 1214 57 shew shew VB A34005 1214 58 how how WRB A34005 1214 59 they -PRON- PRP A34005 1214 60 arise arise VBP A34005 1214 61 ) ) -RRB- A34005 1214 62 whereby whereby WRB A34005 1214 63 they -PRON- PRP A34005 1214 64 will will MD A34005 1214 65 be be VB A34005 1214 66 rendred rendre VBN A34005 1214 67 very very RB A34005 1214 68 facil facil NN A34005 1214 69 ; ; , A34005 1214 70 as as IN A34005 1214 71 also also RB A34005 1214 72 the the DT A34005 1214 73 Demonstration Demonstration NNP A34005 1214 74 of of IN A34005 1214 75 the the DT A34005 1214 76 Affections Affections NNPS A34005 1214 77 , , , A34005 1214 78 which which WDT A34005 1214 79 may may MD A34005 1214 80 be be VB A34005 1214 81 hereafter hereafter RB A34005 1214 82 added add VBN A34005 1214 83 to to IN A34005 1214 84 some some DT A34005 1214 85 other other JJ A34005 1214 86 Treatise Treatise NNP A34005 1214 87 to to TO A34005 1214 88 be be VB A34005 1214 89 bound bind VBN A34005 1214 90 with with IN A34005 1214 91 this this DT A34005 1214 92 Book Book NNP A34005 1214 93 . . . A34005 1215 1 Of of IN A34005 1215 2 working work VBG A34005 1215 3 Proportions Proportions NNP A34005 1215 4 by by IN A34005 1215 5 the the DT A34005 1215 6 Lines line NNS A34005 1215 7 on on IN A34005 1215 8 the the DT A34005 1215 9 Quadrant quadrant NN A34005 1215 10 . . . A34005 1216 1 BEfore before IN A34005 1216 2 I -PRON- PRP A34005 1216 3 come come VBP A34005 1216 4 to to TO A34005 1216 5 shew shew VB A34005 1216 6 how how WRB A34005 1216 7 all all DT A34005 1216 8 Proportions Proportions NNPS A34005 1216 9 may may MD A34005 1216 10 in in IN A34005 1216 11 some some DT A34005 1216 12 measure measure NN A34005 1216 13 be be VB A34005 1216 14 performed perform VBN A34005 1216 15 upon upon IN A34005 1216 16 the the DT A34005 1216 17 Lines line NNS A34005 1216 18 of of IN A34005 1216 19 this this DT A34005 1216 20 Quadrant Quadrant NNP A34005 1216 21 , , , A34005 1216 22 it -PRON- PRP A34005 1216 23 is be VBZ A34005 1216 24 to to TO A34005 1216 25 be be VB A34005 1216 26 intimated intimate VBN A34005 1216 27 in in IN A34005 1216 28 general general JJ A34005 1216 29 , , , A34005 1216 30 That that IN A34005 1216 31 the the DT A34005 1216 32 working working NN A34005 1216 33 of of IN A34005 1216 34 a a DT A34005 1216 35 Proportion proportion NN A34005 1216 36 upon upon IN A34005 1216 37 a a DT A34005 1216 38 single single JJ A34005 1216 39 natural natural JJ A34005 1216 40 Line Line NNP A34005 1216 41 , , , A34005 1216 42 was be VBD A34005 1216 43 the the DT A34005 1216 44 useful useful JJ A34005 1216 45 invention invention NN A34005 1216 46 of of IN A34005 1216 47 the the DT A34005 1216 48 late late RB A34005 1216 49 learned learn VBN A34005 1216 50 Mathematician Mathematician NNP A34005 1216 51 , , , A34005 1216 52 Mr Mr NNP A34005 1216 53 Samuel Samuel NNP A34005 1216 54 Foster Foster NNP A34005 1216 55 , , , A34005 1216 56 and and CC A34005 1216 57 published publish VBN A34005 1216 58 after after IN A34005 1216 59 his -PRON- PRP$ A34005 1216 60 decease decease NN A34005 1216 61 as as IN A34005 1216 62 his -PRON- PRP$ A34005 1216 63 ; ; : A34005 1216 64 In in IN A34005 1216 65 the the DT A34005 1216 66 use use NN A34005 1216 67 of of IN A34005 1216 68 his -PRON- PRP$ A34005 1216 69 Scale Scale NNP A34005 1216 70 , , , A34005 1216 71 a a DT A34005 1216 72 Book Book NNP A34005 1216 73 called call VBN A34005 1216 74 Posthuma Posthuma NNP A34005 1216 75 Fosteri Fosteri NNP A34005 1216 76 , , , A34005 1216 77 as as RB A34005 1216 78 also also RB A34005 1216 79 by by IN A34005 1216 80 Mr Mr NNP A34005 1216 81 Stirrup Stirrup NNP A34005 1216 82 in in IN A34005 1216 83 a a DT A34005 1216 84 Treatise Treatise NNP A34005 1216 85 of of IN A34005 1216 86 Dyalling dyalle VBG A34005 1216 87 ; ; : A34005 1216 88 in in IN A34005 1216 89 which which WDT A34005 1216 90 Books Books NNP A34005 1216 91 , , , A34005 1216 92 though though IN A34005 1216 93 it -PRON- PRP A34005 1216 94 be be VB A34005 1216 95 there there RB A34005 1216 96 prescribed prescribe VBN A34005 1216 97 , , , A34005 1216 98 and and CC A34005 1216 99 from from IN A34005 1216 100 thence thence NN A34005 1216 101 may may MD A34005 1216 102 be be VB A34005 1216 103 learned learn VBN A34005 1216 104 , , , A34005 1216 105 yet yet CC A34005 1216 106 I -PRON- PRP A34005 1216 107 acknowledge acknowledge VBP A34005 1216 108 I -PRON- PRP A34005 1216 109 received receive VBD A34005 1216 110 some some DT A34005 1216 111 light light NN A34005 1216 112 concerning concern VBG A34005 1216 113 it -PRON- PRP A34005 1216 114 , , , A34005 1216 115 from from IN A34005 1216 116 some some DT A34005 1216 117 Manuscripts Manuscripts NNPS A34005 1216 118 lent lend VBD A34005 1216 119 me -PRON- PRP A34005 1216 120 by by IN A34005 1216 121 Mr Mr NNP A34005 1216 122 Foster Foster NNP A34005 1216 123 , , , A34005 1216 124 in in IN A34005 1216 125 his -PRON- PRP$ A34005 1216 126 life life NN A34005 1216 127 time time NN A34005 1216 128 to to IN A34005 1216 129 Transcribe Transcribe NNP A34005 1216 130 for for IN A34005 1216 131 his -PRON- PRP$ A34005 1216 132 and and CC A34005 1216 133 my -PRON- PRP$ A34005 1216 134 own own JJ A34005 1216 135 use use NN A34005 1216 136 touching touch VBG A34005 1216 137 Instrumental Instrumental NNP A34005 1216 138 Applications Applications NNPS A34005 1216 139 ; ; : A34005 1216 140 Yet yet CC A34005 1216 141 withal withal VB A34005 1216 142 be be VBP A34005 1216 143 it -PRON- PRP A34005 1216 144 here here RB A34005 1216 145 intimated intimate VBN A34005 1216 146 , , , A34005 1216 147 that that IN A34005 1216 148 there there EX A34005 1216 149 are be VBP A34005 1216 150 no no DT A34005 1216 151 ways way NNS A34005 1216 152 used use VBN A34005 1216 153 upon upon IN A34005 1216 154 this this DT A34005 1216 155 Quadrant Quadrant NNP A34005 1216 156 for for IN A34005 1216 157 the the DT A34005 1216 158 obtaining obtain VBG A34005 1216 159 the the DT A34005 1216 160 Hour Hour NNP A34005 1216 161 and and CC A34005 1216 162 Azimuth Azimuth NNP A34005 1216 163 with with IN A34005 1216 164 Compasses Compasses NNPS A34005 1216 165 , , , A34005 1216 166 and and CC A34005 1216 167 the the DT A34005 1216 168 Converse Converse NNP A34005 1216 169 of of IN A34005 1216 170 the the DT A34005 1216 171 4th 4th NN A34005 1216 172 Axiom Axiom NNP A34005 1216 173 , , , A34005 1216 174 but but CC A34005 1216 175 what what WP A34005 1216 176 are be VBP A34005 1216 177 wholly wholly RB A34005 1216 178 my -PRON- PRP$ A34005 1216 179 own own JJ A34005 1216 180 , , , A34005 1216 181 and and CC A34005 1216 182 altogether altogether RB A34005 1216 183 novel novel NN A34005 1216 184 , , , A34005 1216 185 though though IN A34005 1216 186 not not RB A34005 1216 187 worth worth JJ A34005 1216 188 the the DT A34005 1216 189 owning owning NN A34005 1216 190 , , , A34005 1216 191 for for IN A34005 1216 192 Instrumental Instrumental NNP A34005 1216 193 Conclusions Conclusions NNPS A34005 1216 194 not not RB A34005 1216 195 being be VBG A34005 1216 196 so so RB A34005 1216 197 exact exact JJ A34005 1216 198 as as IN A34005 1216 199 the the DT A34005 1216 200 Tables table NNS A34005 1216 201 are be VBP A34005 1216 202 of of IN A34005 1216 203 small small JJ A34005 1216 204 esteem esteem NN A34005 1216 205 with with IN A34005 1216 206 the the DT A34005 1216 207 learned learn VBN A34005 1216 208 as as IN A34005 1216 209 in in IN A34005 1216 210 Mr Mr NNP A34005 1216 211 Wingates Wingates NNP A34005 1216 212 Preface Preface NNP A34005 1216 213 to to IN A34005 1216 214 the the DT A34005 1216 215 Posthuma Posthuma NNP A34005 1216 216 ; ; : A34005 1216 217 besides besides IN A34005 1216 218 the the DT A34005 1216 219 taking taking NN A34005 1216 220 off off RP A34005 1216 221 of of IN A34005 1216 222 any any DT A34005 1216 223 Line Line NNP A34005 1216 224 from from IN A34005 1216 225 the the DT A34005 1216 226 Limb Limb NNP A34005 1216 227 to to IN A34005 1216 228 any any DT A34005 1216 229 Radius radius NN A34005 1216 230 ; ; : A34005 1216 231 the the DT A34005 1216 232 Explanation Explanation NNP A34005 1216 233 of of IN A34005 1216 234 the the DT A34005 1216 235 reason reason NN A34005 1216 236 of of IN A34005 1216 237 Proportions Proportions NNP A34005 1216 238 so so RB A34005 1216 239 wrought work VBD A34005 1216 240 , , , A34005 1216 241 the the DT A34005 1216 242 supply supply NN A34005 1216 243 of of IN A34005 1216 244 many many JJ A34005 1216 245 Defects Defects NNPS A34005 1216 246 , , , A34005 1216 247 and and CC A34005 1216 248 the the DT A34005 1216 249 inscribing inscribing NN A34005 1216 250 of of IN A34005 1216 251 Lines line NNS A34005 1216 252 in in IN A34005 1216 253 the the DT A34005 1216 254 Limb Limb NNP A34005 1216 255 , , , A34005 1216 256 I -PRON- PRP A34005 1216 257 have have VBP A34005 1216 258 not not RB A34005 1216 259 seen see VBN A34005 1216 260 any any DT A34005 1216 261 thing thing NN A34005 1216 262 of of IN A34005 1216 263 Mr Mr NNP A34005 1216 264 Fosters Fosters NNPS A34005 1216 265 , , , A34005 1216 266 or or CC A34005 1216 267 of of IN A34005 1216 268 any any DT A34005 1216 269 other other JJ A34005 1216 270 mans man NNS A34005 1216 271 , , , A34005 1216 272 tending tend VBG A34005 1216 273 thereto thereto NN A34005 1216 274 . . . A34005 1217 1 Of of IN A34005 1217 2 the the DT A34005 1217 3 Line Line NNP A34005 1217 4 of of IN A34005 1217 5 equal equal JJ A34005 1217 6 Parts part NNS A34005 1217 7 . . . A34005 1218 1 THis this DT A34005 1218 2 Line line NN A34005 1218 3 issueth issueth NN A34005 1218 4 from from IN A34005 1218 5 the the DT A34005 1218 6 Center Center NNP A34005 1218 7 of of IN A34005 1218 8 the the DT A34005 1218 9 Quadrant Quadrant NNP A34005 1218 10 on on IN A34005 1218 11 the the DT A34005 1218 12 right right JJ A34005 1218 13 edge edge NN A34005 1218 14 of of IN A34005 1218 15 the the DT A34005 1218 16 foreside foreside NN A34005 1218 17 , , , A34005 1218 18 and and CC A34005 1218 19 will will MD A34005 1218 20 serve serve VB A34005 1218 21 for for IN A34005 1218 22 Mensurations Mensurations NNPS A34005 1218 23 , , , A34005 1218 24 Protractions Protractions NNPS A34005 1218 25 and and CC A34005 1218 26 Proportional Proportional NNP A34005 1218 27 work work NN A34005 1218 28 . . . A34005 1219 1 The the DT A34005 1219 2 ground ground NN A34005 1219 3 of of IN A34005 1219 4 working work VBG A34005 1219 5 Proportions Proportions NNP A34005 1219 6 by by IN A34005 1219 7 single single JJ A34005 1219 8 natural natural JJ A34005 1219 9 Lines line NNS A34005 1219 10 , , , A34005 1219 11 is be VBZ A34005 1219 12 built build VBN A34005 1219 13 upon upon IN A34005 1219 14 the the DT A34005 1219 15 following follow VBG A34005 1219 16 grounds ground NNS A34005 1219 17 . . . A34005 1220 1 That that DT A34005 1220 2 Equiangled Equiangled NNP A34005 1220 3 Plain Plain NNP A34005 1220 4 Triangles Triangles NNPS A34005 1220 5 have have VBP A34005 1220 6 the the DT A34005 1220 7 sides side NNS A34005 1220 8 about about IN A34005 1220 9 their -PRON- PRP$ A34005 1220 10 equal equal JJ A34005 1220 11 angles angle NNS A34005 1220 12 Proportional Proportional NNP A34005 1220 13 , , , A34005 1220 14 and and CC A34005 1220 15 this this DT A34005 1220 16 work work NN A34005 1220 17 hath hath VB A34005 1220 18 its -PRON- PRP$ A34005 1220 19 whole whole JJ A34005 1220 20 dependance dependance NN A34005 1220 21 on on IN A34005 1220 22 the the DT A34005 1220 23 likeness likeness NN A34005 1220 24 of of IN A34005 1220 25 two two CD A34005 1220 26 equiangled equiangle VBN A34005 1220 27 Plain Plain NNP A34005 1220 28 Right Right NNP A34005 1220 29 angled angle VBD A34005 1220 30 Triangles triangle NNS A34005 1220 31 ; ; : A34005 1220 32 as as IN A34005 1220 33 in in IN A34005 1220 34 the the DT A34005 1220 35 figure figure NN A34005 1220 36 annexed annexed NN A34005 1220 37 , , , A34005 1220 38 let let VB A34005 1220 39 A a DT A34005 1220 40 B b NN A34005 1220 41 represent represent VB A34005 1220 42 a a DT A34005 1220 43 Line line NN A34005 1220 44 of of IN A34005 1220 45 equal equal JJ A34005 1220 46 parts part NNS A34005 1220 47 , , , A34005 1220 48 Sines Sines NNPS A34005 1220 49 or or CC A34005 1220 50 natural natural JJ A34005 1220 51 Tangents Tangents NNPS A34005 1220 52 issuing issue VBG A34005 1220 53 from from IN A34005 1220 54 the the DT A34005 1220 55 Center Center NNP A34005 1220 56 of of IN A34005 1220 57 the the DT A34005 1220 58 Quadrant Quadrant NNP A34005 1220 59 supposed suppose VBN A34005 1220 60 at at IN A34005 1220 61 A a NN A34005 1220 62 , , , A34005 1220 63 and and CC A34005 1220 64 let let VB A34005 1220 65 A a DT A34005 1220 66 C c NN A34005 1220 67 represent represent VB A34005 1220 68 the the DT A34005 1220 69 Thread thread NN A34005 1220 70 , , , A34005 1220 71 and and CC A34005 1220 72 the the DT A34005 1220 73 Lines Lines NNP A34005 1220 74 B B NNP A34005 1220 75 C C NNP A34005 1220 76 , , , A34005 1220 77 E e NN A34005 1220 78 D d NN A34005 1220 79 making make VBG A34005 1220 80 right right JJ A34005 1220 81 angles angle NNS A34005 1220 82 with with IN A34005 1220 83 the the DT A34005 1220 84 Line Line NNP A34005 1220 85 A A NNP A34005 1220 86 C c NN A34005 1220 87 , , , A34005 1220 88 or or CC A34005 1220 89 with with IN A34005 1220 90 the the DT A34005 1220 91 Thread Thread NNP A34005 1220 92 , , , A34005 1220 93 the the DT A34005 1220 94 nearest near JJS A34005 1220 95 distances distance NNS A34005 1220 96 to to IN A34005 1220 97 it -PRON- PRP A34005 1220 98 from from IN A34005 1220 99 the the DT A34005 1220 100 Points Points NNPS A34005 1220 101 B B NNP A34005 1220 102 and and CC A34005 1220 103 E. E. NNP A34005 1220 104 I -PRON- PRP A34005 1220 105 say say VBP A34005 1220 106 then then RB A34005 1220 107 that that IN A34005 1220 108 this this DT A34005 1220 109 Scheme Scheme NNP A34005 1220 110 doth doth NN A34005 1220 111 represent represent VBP A34005 1220 112 a a DT A34005 1220 113 Proportion proportion NN A34005 1220 114 of of IN A34005 1220 115 the the DT A34005 1220 116 greater great JJR A34005 1220 117 to to IN A34005 1220 118 the the DT A34005 1220 119 less less JJR A34005 1220 120 , , , A34005 1220 121 and and CC A34005 1220 122 the the DT A34005 1220 123 Converse Converse NNP A34005 1220 124 of of IN A34005 1220 125 the the DT A34005 1220 126 less less JJR A34005 1220 127 to to IN A34005 1220 128 the the DT A34005 1220 129 greater great JJR A34005 1220 130 . . . A34005 1221 1 First first RB A34005 1221 2 of of IN A34005 1221 3 the the DT A34005 1221 4 greater great JJR A34005 1221 5 to to IN A34005 1221 6 the the DT A34005 1221 7 less less JJR A34005 1221 8 , , , A34005 1221 9 and and CC A34005 1221 10 then then RB A34005 1221 11 it -PRON- PRP A34005 1221 12 lies lie VBZ A34005 1221 13 , , , A34005 1221 14 As as IN A34005 1221 15 A a NN A34005 1221 16 B b NN A34005 1221 17 to to IN A34005 1221 18 B b NN A34005 1221 19 C C NNP A34005 1221 20 : : : A34005 1221 21 So so CC A34005 1221 22 A a DT A34005 1221 23 E e NN A34005 1221 24 to to IN A34005 1221 25 A a NN A34005 1221 26 D d NN A34005 1221 27 , , , A34005 1221 28 whence whence NN A34005 1221 29 observe observe VBP A34005 1221 30 that that IN A34005 1221 31 the the DT A34005 1221 32 length length NN A34005 1221 33 of of IN A34005 1221 34 the the DT A34005 1221 35 second second JJ A34005 1221 36 Tearm Tearm NNP A34005 1221 37 B B NNP A34005 1221 38 C C NNP A34005 1221 39 must must MD A34005 1221 40 be be VB A34005 1221 41 taken take VBN A34005 1221 42 out out IN A34005 1221 43 of of IN A34005 1221 44 the the DT A34005 1221 45 common common JJ A34005 1221 46 Scale Scale NNP A34005 1221 47 A A NNP A34005 1221 48 B b NN A34005 1221 49 , , , A34005 1221 50 and and CC A34005 1221 51 one one CD A34005 1221 52 foot foot NN A34005 1221 53 of of IN A34005 1221 54 that that DT A34005 1221 55 extent extent NN A34005 1221 56 entred entre VBN A34005 1221 57 at at IN A34005 1221 58 B b NN A34005 1221 59 the the DT A34005 1221 60 first first JJ A34005 1221 61 Tearm Tearm NNP A34005 1221 62 , , , A34005 1221 63 the the DT A34005 1221 64 Thread thread NN A34005 1221 65 must must MD A34005 1221 66 be be VB A34005 1221 67 laid lay VBN A34005 1221 68 to to IN A34005 1221 69 the the DT A34005 1221 70 other other JJ A34005 1221 71 foot foot NN A34005 1221 72 at at IN A34005 1221 73 C C NNP A34005 1221 74 , , , A34005 1221 75 according accord VBG A34005 1221 76 to to IN A34005 1221 77 the the DT A34005 1221 78 nearest near JJS A34005 1221 79 distance distance NN A34005 1221 80 then then RB A34005 1221 81 the the DT A34005 1221 82 nearest near JJS A34005 1221 83 distance distance NN A34005 1221 84 , , , A34005 1221 85 from from IN A34005 1221 86 the the DT A34005 1221 87 Point Point NNP A34005 1221 88 E e NN A34005 1221 89 to to IN A34005 1221 90 the the DT A34005 1221 91 Thread thread NN A34005 1221 92 that that WDT A34005 1221 93 is be VBZ A34005 1221 94 from from IN A34005 1221 95 the the DT A34005 1221 96 third third JJ A34005 1221 97 Tearm Tearm NNP A34005 1221 98 called call VBN A34005 1221 99 Lateral lateral JJ A34005 1221 100 entrance entrance NN A34005 1221 101 , , , A34005 1221 102 being be VBG A34005 1221 103 measured measure VBN A34005 1221 104 in in IN A34005 1221 105 the the DT A34005 1221 106 Scale Scale NNP A34005 1221 107 A A NNP A34005 1221 108 B B NNP A34005 1221 109 , , , A34005 1221 110 gives give VBZ A34005 1221 111 the the DT A34005 1221 112 quantity quantity NN A34005 1221 113 of of IN A34005 1221 114 the the DT A34005 1221 115 4 4 CD A34005 1221 116 ● ● SYM A34005 1221 117 h h NN A34005 1221 118 Proportional Proportional NNP A34005 1221 119 . . . A34005 1222 1 Secondly secondly RB A34005 1222 2 of of IN A34005 1222 3 the the DT A34005 1222 4 less less JJR A34005 1222 5 to to IN A34005 1222 6 the the DT A34005 1222 7 greater great JJR A34005 1222 8 . . . A34005 1223 1 And and CC A34005 1223 2 then then RB A34005 1223 3 it -PRON- PRP A34005 1223 4 lies lie VBZ A34005 1223 5 , , , A34005 1223 6 As as IN A34005 1223 7 B B NNP A34005 1223 8 C C NNP A34005 1223 9 to to IN A34005 1223 10 A a NN A34005 1223 11 B b NN A34005 1223 12 : : : A34005 1223 13 So so CC A34005 1223 14 E e NN A34005 1223 15 D d NN A34005 1223 16 to to IN A34005 1223 17 A a NN A34005 1223 18 E e NN A34005 1223 19 , , , A34005 1223 20 Or or CC A34005 1223 21 , , , A34005 1223 22 As as IN A34005 1223 23 E e NN A34005 1223 24 D d NN A34005 1223 25 to to IN A34005 1223 26 A a NN A34005 1223 27 E e NN A34005 1223 28 : : : A34005 1223 29 So so CC A34005 1223 30 B B NNP A34005 1223 31 C C NNP A34005 1223 32 to to IN A34005 1223 33 A a NN A34005 1223 34 B b NN A34005 1223 35 , , , A34005 1223 36 by by IN A34005 1223 37 which which WDT A34005 1223 38 it -PRON- PRP A34005 1223 39 appears appear VBZ A34005 1223 40 that that IN A34005 1223 41 the the DT A34005 1223 42 first first JJ A34005 1223 43 Tearm Tearm NNP A34005 1223 44 B B NNP A34005 1223 45 C C NNP A34005 1223 46 must must MD A34005 1223 47 be be VB A34005 1223 48 taken take VBN A34005 1223 49 out out IN A34005 1223 50 of of IN A34005 1223 51 the the DT A34005 1223 52 common common JJ A34005 1223 53 Scale Scale NNP A34005 1223 54 , , , A34005 1223 55 and and CC A34005 1223 56 entred entre VBD A34005 1223 57 one one CD A34005 1223 58 foot foot NN A34005 1223 59 at at IN A34005 1223 60 the the DT A34005 1223 61 second second JJ A34005 1223 62 Tearm Tearm NNP A34005 1223 63 at at IN A34005 1223 64 B b NN A34005 1223 65 , , , A34005 1223 66 and and CC A34005 1223 67 the the DT A34005 1223 68 Thread thread NN A34005 1223 69 laid lay VBD A34005 1223 70 to to IN A34005 1223 71 the the DT A34005 1223 72 other other JJ A34005 1223 73 at at IN A34005 1223 74 C C NNP A34005 1223 75 according accord VBG A34005 1223 76 to to IN A34005 1223 77 nearest near JJS A34005 1223 78 distance distance NN A34005 1223 79 then then RB A34005 1223 80 the the DT A34005 1223 81 third third JJ A34005 1223 82 Tearm Tearm NNP A34005 1223 83 E e NN A34005 1223 84 D d NN A34005 1223 85 must must MD A34005 1223 86 be be VB A34005 1223 87 taken take VBN A34005 1223 88 out out IN A34005 1223 89 of of IN A34005 1223 90 the the DT A34005 1223 91 common common JJ A34005 1223 92 Scale Scale NNP A34005 1223 93 and and CC A34005 1223 94 entred entre VBN A34005 1223 95 between between IN A34005 1223 96 the the DT A34005 1223 97 Thread Thread NNP A34005 1223 98 and and CC A34005 1223 99 the the DT A34005 1223 100 Scale Scale NNP A34005 1223 101 , , , A34005 1223 102 so so IN A34005 1223 103 that that IN A34005 1223 104 one one CD A34005 1223 105 foot foot NN A34005 1223 106 may may MD A34005 1223 107 rest rest VB A34005 1223 108 upon upon IN A34005 1223 109 the the DT A34005 1223 110 Line Line NNP A34005 1223 111 , , , A34005 1223 112 as as IN A34005 1223 113 at at IN A34005 1223 114 E e NN A34005 1223 115 , , , A34005 1223 116 and and CC A34005 1223 117 the the DT A34005 1223 118 other other JJ A34005 1223 119 turned turn VBD A34005 1223 120 about about IN A34005 1223 121 may may NNP A34005 1223 122 but but CC A34005 1223 123 just just RB A34005 1223 124 touch touch VB A34005 1223 125 the the DT A34005 1223 126 Thread Thread NNP A34005 1223 127 , , , A34005 1223 128 as as IN A34005 1223 129 at at IN A34005 1223 130 D d NN A34005 1223 131 , , , A34005 1223 132 so so RB A34005 1223 133 is be VBZ A34005 1223 134 the the DT A34005 1223 135 distance distance NN A34005 1223 136 from from IN A34005 1223 137 the the DT A34005 1223 138 Center Center NNP A34005 1223 139 to to TO A34005 1223 140 E e VB A34005 1223 141 the the DT A34005 1223 142 quantity quantity NN A34005 1223 143 of of IN A34005 1223 144 the the DT A34005 1223 145 4th 4th JJ A34005 1223 146 Proportional Proportional NNP A34005 1223 147 ; ; : A34005 1223 148 and and CC A34005 1223 149 this this DT A34005 1223 150 is be VBZ A34005 1223 151 called call VBN A34005 1223 152 Parralel Parralel NNP A34005 1223 153 entrance entrance NN A34005 1223 154 , , , A34005 1223 155 because because IN A34005 1223 156 the the DT A34005 1223 157 extent extent NN A34005 1223 158 E e NN A34005 1223 159 D d NN A34005 1223 160 is be VBZ A34005 1223 161 entred entre VBN A34005 1223 162 Parralel Parralel NNP A34005 1223 163 to to IN A34005 1223 164 the the DT A34005 1223 165 extent extent NN A34005 1223 166 B b NN A34005 1223 167 C C NNP A34005 1223 168 : : : A34005 1223 169 To to TO A34005 1223 170 avoid avoid VB A34005 1223 171 Circumlocution circumlocution NN A34005 1223 172 , , , A34005 1223 173 it -PRON- PRP A34005 1223 174 is be VBZ A34005 1223 175 here here RB A34005 1223 176 suggested suggest VBN A34005 1223 177 , , , A34005 1223 178 that that IN A34005 1223 179 in in IN A34005 1223 180 the the DT A34005 1223 181 following following JJ A34005 1223 182 Treatise Treatise NNP A34005 1223 183 , , , A34005 1223 184 we -PRON- PRP A34005 1223 185 use use VBP A34005 1223 186 these these DT A34005 1223 187 expressions expression NNS A34005 1223 188 to to TO A34005 1223 189 lay lay VB A34005 1223 190 the the DT A34005 1223 191 Thread thread NN A34005 1223 192 to to IN A34005 1223 193 the the DT A34005 1223 194 other other JJ A34005 1223 195 foot foot NN A34005 1223 196 , , , A34005 1223 197 whereby whereby WRB A34005 1223 198 is be VBZ A34005 1223 199 meant mean VBN A34005 1223 200 to to TO A34005 1223 201 lay lay VB A34005 1223 202 it -PRON- PRP A34005 1223 203 so so RB A34005 1223 204 according accord VBG A34005 1223 205 to to IN A34005 1223 206 nearest near JJS A34005 1223 207 distance distance NN A34005 1223 208 , , , A34005 1223 209 that that IN A34005 1223 210 the the DT A34005 1223 211 said say VBN A34005 1223 212 foot foot NN A34005 1223 213 turned turn VBD A34005 1223 214 about about IN A34005 1223 215 may may NNP A34005 1223 216 but but CC A34005 1223 217 just just RB A34005 1223 218 touch touch VB A34005 1223 219 the the DT A34005 1223 220 Thread thread NN A34005 1223 221 , , , A34005 1223 222 and and CC A34005 1223 223 so so RB A34005 1223 224 to to TO A34005 1223 225 enter enter VB A34005 1223 226 an an DT A34005 1223 227 extent extent NN A34005 1223 228 between between IN A34005 1223 229 the the DT A34005 1223 230 Thread Thread NNP A34005 1223 231 and and CC A34005 1223 232 the the DT A34005 1223 233 Scale Scale NNP A34005 1223 234 is be VBZ A34005 1223 235 to to TO A34005 1223 236 enter enter VB A34005 1223 237 it -PRON- PRP A34005 1223 238 so so IN A34005 1223 239 that that IN A34005 1223 240 one one CD A34005 1223 241 foot foot NN A34005 1223 242 resting rest VBG A34005 1223 243 upon upon IN A34005 1223 244 the the DT A34005 1223 245 Scale Scale NNP A34005 1223 246 , , , A34005 1223 247 the the DT A34005 1223 248 other other JJ A34005 1223 249 turned turn VBD A34005 1223 250 about about IN A34005 1223 251 may may NNP A34005 1223 252 but but CC A34005 1223 253 just just RB A34005 1223 254 touch touch VB A34005 1223 255 the the DT A34005 1223 256 Thread thread NN A34005 1223 257 . . . A34005 1224 1 Another another DT A34005 1224 2 chief chief JJ A34005 1224 3 ground ground NN A34005 1224 4 in in IN A34005 1224 5 order order NN A34005 1224 6 to to IN A34005 1224 7 working work VBG A34005 1224 8 Proportions Proportions NNP A34005 1224 9 by by IN A34005 1224 10 help help NN A34005 1224 11 of of IN A34005 1224 12 Lines line NNS A34005 1224 13 in in IN A34005 1224 14 the the DT A34005 1224 15 Limb Limb NNP A34005 1224 16 is be VBZ A34005 1224 17 , , , A34005 1224 18 That that IN A34005 1224 19 in in IN A34005 1224 20 any any DT A34005 1224 21 Proportion Proportion NNP A34005 1224 22 wherin wherin VB A34005 1224 23 the the DT A34005 1224 24 Radius radius NN A34005 1224 25 is be VBZ A34005 1224 26 not not RB A34005 1224 27 ingredient ingredient JJ A34005 1224 28 the the DT A34005 1224 29 Radius Radius NNP A34005 1224 30 may may MD A34005 1224 31 be be VB A34005 1224 32 introduced introduce VBN A34005 1224 33 by by IN A34005 1224 34 working work VBG A34005 1224 35 of of IN A34005 1224 36 two two CD A34005 1224 37 Proportions Proportions NNPS A34005 1224 38 in in IN A34005 1224 39 each each DT A34005 1224 40 of of IN A34005 1224 41 which which WDT A34005 1224 42 the the DT A34005 1224 43 Radius Radius NNP A34005 1224 44 shall shall MD A34005 1224 45 be be VB A34005 1224 46 included include VBN A34005 1224 47 , , , A34005 1224 48 and and CC A34005 1224 49 that that DT A34005 1224 50 is be VBZ A34005 1224 51 done do VBN A34005 1224 52 by by IN A34005 1224 53 finding find VBG A34005 1224 54 two two CD A34005 1224 55 such such JJ A34005 1224 56 midle midle JJ A34005 1224 57 tearms tearm NNS A34005 1224 58 ( ( -LRB- A34005 1224 59 one one CD A34005 1224 60 whereof whereof PRP A34005 1224 61 shall shall MD A34005 1224 62 always always RB A34005 1224 63 be be VB A34005 1224 64 the the DT A34005 1224 65 Radius Radius NNP A34005 1224 66 ) ) -RRB- A34005 1224 67 as as IN A34005 1224 68 shall shall MD A34005 1224 69 make make VB A34005 1224 70 a a DT A34005 1224 71 Rectangle Rectangle NNP A34005 1224 72 or or CC A34005 1224 73 Product product NN A34005 1224 74 equal equal JJ A34005 1224 75 to to IN A34005 1224 76 the the DT A34005 1224 77 Rectangle Rectangle NNP A34005 1224 78 or or CC A34005 1224 79 Product Product NNP A34005 1224 80 of of IN A34005 1224 81 the the DT A34005 1224 82 two two CD A34005 1224 83 middle middle JJ A34005 1224 84 Tearms Tearms NNPS A34005 1224 85 proposed propose VBN A34005 1224 86 , , , A34005 1224 87 to to TO A34005 1224 88 find find VB A34005 1224 89 which which WDT A34005 1224 90 the the DT A34005 1224 91 Proportion Proportion NNP A34005 1224 92 will will MD A34005 1224 93 be be VB A34005 1224 94 . . . A34005 1225 1 As as IN A34005 1225 2 the the DT A34005 1225 3 Radius Radius NNP A34005 1225 4 , , , A34005 1225 5 To to IN A34005 1225 6 one one CD A34005 1225 7 of of IN A34005 1225 8 the the DT A34005 1225 9 middle middle JJ A34005 1225 10 Tearms Tearms NNPS A34005 1225 11 : : : A34005 1225 12 So so CC A34005 1225 13 the the DT A34005 1225 14 other other JJ A34005 1225 15 middle middle JJ A34005 1225 16 Tearm Tearm NNP A34005 1225 17 , , , A34005 1225 18 To to IN A34005 1225 19 a a DT A34005 1225 20 fourth fourth JJ A34005 1225 21 , , , A34005 1225 22 I -PRON- PRP A34005 1225 23 say say VBP A34005 1225 24 then then RB A34005 1225 25 , , , A34005 1225 26 that that IN A34005 1225 27 the the DT A34005 1225 28 Radius Radius NNP A34005 1225 29 and and CC A34005 1225 30 this this DT A34005 1225 31 fourth fourth JJ A34005 1225 32 Tearm Tearm NNP A34005 1225 33 making make VBG A34005 1225 34 a a DT A34005 1225 35 Product Product NNP A34005 1225 36 or or CC A34005 1225 37 Rectangle Rectangle NNP A34005 1225 38 equal equal JJ A34005 1225 39 to to IN A34005 1225 40 the the DT A34005 1225 41 Product Product NNP A34005 1225 42 of of IN A34005 1225 43 the the DT A34005 1225 44 two two CD A34005 1225 45 middle middle JJ A34005 1225 46 Tearms Tearms NNPS A34005 1225 47 , , , A34005 1225 48 these these DT A34005 1225 49 may may MD A34005 1225 50 be be VB A34005 1225 51 assumed assume VBN A34005 1225 52 into into IN A34005 1225 53 the the DT A34005 1225 54 Proportion proportion NN A34005 1225 55 instead instead RB A34005 1225 56 of of IN A34005 1225 57 those those DT A34005 1225 58 , , , A34005 1225 59 and and CC A34005 1225 60 the the DT A34005 1225 61 answer answer NN A34005 1225 62 or or CC A34005 1225 63 fourth fourth JJ A34005 1225 64 Tearm Tearm NNP A34005 1225 65 will will MD A34005 1225 66 be be VB A34005 1225 67 the the DT A34005 1225 68 same same JJ A34005 1225 69 without without IN A34005 1225 70 Variation variation NN A34005 1225 71 , , , A34005 1225 72 and and CC A34005 1225 73 therefore therefore RB A34005 1225 74 holds hold VBZ A34005 1225 75 , , , A34005 1225 76 As as IN A34005 1225 77 the the DT A34005 1225 78 first first JJ A34005 1225 79 Tearm Tearm NNP A34005 1225 80 of of IN A34005 1225 81 the the DT A34005 1225 82 Proportion Proportion NNP A34005 1225 83 , , , A34005 1225 84 To to IN A34005 1225 85 the the DT A34005 1225 86 Radius radius NN A34005 1225 87 : : : A34005 1225 88 So so CC A34005 1225 89 the the DT A34005 1225 90 fourth fourth JJ A34005 1225 91 found find VBN A34005 1225 92 as as IN A34005 1225 93 above above RB A34005 1225 94 , , , A34005 1225 95 To to IN A34005 1225 96 the the DT A34005 1225 97 Tearm Tearm NNP A34005 1225 98 sought seek VBN A34005 1225 99 . . . A34005 1226 1 Or or CC A34005 1226 2 , , , A34005 1226 3 As as IN A34005 1226 4 the the DT A34005 1226 5 first first JJ A34005 1226 6 Tearm Tearm NNP A34005 1226 7 of of IN A34005 1226 8 the the DT A34005 1226 9 Proportion Proportion NNP A34005 1226 10 , , , A34005 1226 11 Is be VBZ A34005 1226 12 to to IN A34005 1226 13 the the DT A34005 1226 14 fourth fourth JJ A34005 1226 15 found find VBN A34005 1226 16 as as IN A34005 1226 17 above above RB A34005 1226 18 : : : A34005 1226 19 So so RB A34005 1226 20 is be VBZ A34005 1226 21 the the DT A34005 1226 22 Radius Radius NNP A34005 1226 23 , , , A34005 1226 24 To to IN A34005 1226 25 the the DT A34005 1226 26 Tearm Tearm NNP A34005 1226 27 sought seek VBD A34005 1226 28 ; ; : A34005 1226 29 and and CC A34005 1226 30 here here RB A34005 1226 31 observe observe VB A34005 1226 32 , , , A34005 1226 33 that that IN A34005 1226 34 by by IN A34005 1226 35 changing change VBG A34005 1226 36 the the DT A34005 1226 37 places place NNS A34005 1226 38 of of IN A34005 1226 39 the the DT A34005 1226 40 second second JJ A34005 1226 41 and and CC A34005 1226 42 third third JJ A34005 1226 43 Tearm Tearm NNP A34005 1226 44 , , , A34005 1226 45 many many JJ A34005 1226 46 times time NNS A34005 1226 47 a a DT A34005 1226 48 Parralel Parralel NNP A34005 1226 49 entrance entrance NN A34005 1226 50 may may MD A34005 1226 51 be be VB A34005 1226 52 changed change VBN A34005 1226 53 into into IN A34005 1226 54 a a DT A34005 1226 55 Lateral Lateral NNP A34005 1226 56 , , , A34005 1226 57 which which WDT A34005 1226 58 is be VBZ A34005 1226 59 more more RBR A34005 1226 60 expedite expedite JJ A34005 1226 61 and and CC A34005 1226 62 certain certain JJ A34005 1226 63 then then RB A34005 1226 64 the the DT A34005 1226 65 other other JJ A34005 1226 66 , , , A34005 1226 67 having have VBG A34005 1226 68 thus thus RB A34005 1226 69 laid lay VBN A34005 1226 70 the the DT A34005 1226 71 foundation foundation NN A34005 1226 72 of of IN A34005 1226 73 working work VBG A34005 1226 74 any any DT A34005 1226 75 Proportion Proportion NNP A34005 1226 76 , , , A34005 1226 77 I -PRON- PRP A34005 1226 78 now now RB A34005 1226 79 come come VBP A34005 1226 80 to to IN A34005 1226 81 Examples Examples NNPS A34005 1226 82 . . . A34005 1227 1 1 1 LS A34005 1227 2 . . . A34005 1228 1 To to TO A34005 1228 2 work work VB A34005 1228 3 Proportions proportion NNS A34005 1228 4 in in IN A34005 1228 5 equal equal JJ A34005 1228 6 parts part NNS A34005 1228 7 alone alone RB A34005 1228 8 . . . A34005 1229 1 If if IN A34005 1229 2 the the DT A34005 1229 3 first first JJ A34005 1229 4 Tearm Tearm NNP A34005 1229 5 be be VB A34005 1229 6 greater great JJR A34005 1229 7 then then RB A34005 1229 8 the the DT A34005 1229 9 second second JJ A34005 1229 10 , , , A34005 1229 11 take take VB A34005 1229 12 the the DT A34005 1229 13 second second JJ A34005 1229 14 Tearm Tearm NNP A34005 1229 15 out out IN A34005 1229 16 of of IN A34005 1229 17 the the DT A34005 1229 18 Scale Scale NNP A34005 1229 19 , , , A34005 1229 20 and and CC A34005 1229 21 enter enter VBP A34005 1229 22 one one CD A34005 1229 23 foot foot NN A34005 1229 24 of of IN A34005 1229 25 that that DT A34005 1229 26 extent extent NN A34005 1229 27 at at IN A34005 1229 28 the the DT A34005 1229 29 first first JJ A34005 1229 30 Tearm Tearm NNP A34005 1229 31 , , , A34005 1229 32 laying lay VBG A34005 1229 33 the the DT A34005 1229 34 Thread thread NN A34005 1229 35 to to IN A34005 1229 36 the the DT A34005 1229 37 other other JJ A34005 1229 38 foot foot NN A34005 1229 39 , , , A34005 1229 40 then then RB A34005 1229 41 the the DT A34005 1229 42 nearest near JJS A34005 1229 43 distance distance NN A34005 1229 44 from from IN A34005 1229 45 the the DT A34005 1229 46 third third JJ A34005 1229 47 Tearm Tearm NNP A34005 1229 48 to to IN A34005 1229 49 the the DT A34005 1229 50 Thread thread NN A34005 1229 51 gives give VBZ A34005 1229 52 the the DT A34005 1229 53 4th 4th JJ A34005 1229 54 Proportional Proportional NNP A34005 1229 55 sought seek VBD A34005 1229 56 , , , A34005 1229 57 to to TO A34005 1229 58 be be VB A34005 1229 59 measured measure VBN A34005 1229 60 in in IN A34005 1229 61 the the DT A34005 1229 62 Scale Scale NNP A34005 1229 63 from from IN A34005 1229 64 the the DT A34005 1229 65 Center Center NNP A34005 1229 66 . . . A34005 1230 1 If if IN A34005 1230 2 the the DT A34005 1230 3 first first JJ A34005 1230 4 Tearm Tearm NNP A34005 1230 5 be be VB A34005 1230 6 less less JJR A34005 1230 7 then then RB A34005 1230 8 the the DT A34005 1230 9 second second JJ A34005 1230 10 , , , A34005 1230 11 still still RB A34005 1230 12 as as IN A34005 1230 13 before before IN A34005 1230 14 keep keep VB A34005 1230 15 the the DT A34005 1230 16 greatest great JJS A34005 1230 17 Tearm Tearm NNP A34005 1230 18 on on IN A34005 1230 19 the the DT A34005 1230 20 Scale Scale NNP A34005 1230 21 , , , A34005 1230 22 and and CC A34005 1230 23 enter enter VBP A34005 1230 24 the the DT A34005 1230 25 first first JJ A34005 1230 26 Tearm Tearm NNP A34005 1230 27 upon upon IN A34005 1230 28 it -PRON- PRP A34005 1230 29 , , , A34005 1230 30 laying lay VBG A34005 1230 31 the the DT A34005 1230 32 Thread Thread NNP A34005 1230 33 to to IN A34005 1230 34 the the DT A34005 1230 35 other other JJ A34005 1230 36 foot foot NN A34005 1230 37 , , , A34005 1230 38 then then RB A34005 1230 39 enter enter VB A34005 1230 40 the the DT A34005 1230 41 third third JJ A34005 1230 42 Tearm Tearm NNP A34005 1230 43 taken take VBN A34005 1230 44 out out IN A34005 1230 45 of of IN A34005 1230 46 the the DT A34005 1230 47 Scale scale NN A34005 1230 48 between between IN A34005 1230 49 the the DT A34005 1230 50 Thread thread NN A34005 1230 51 and and CC A34005 1230 52 the the DT A34005 1230 53 Scale Scale NNP A34005 1230 54 and and CC A34005 1230 55 it -PRON- PRP A34005 1230 56 finds find VBZ A34005 1230 57 the the DT A34005 1230 58 4th 4th JJ A34005 1230 59 Proportional Proportional NNP A34005 1230 60 . . . A34005 1231 1 Example example NN A34005 1231 2 . . . A34005 1232 1 Admit admit VB A34005 1232 2 the the DT A34005 1232 3 Sun Sun NNP A34005 1232 4 shining shine VBG A34005 1232 5 , , , A34005 1232 6 I -PRON- PRP A34005 1232 7 should should MD A34005 1232 8 measure measure VB A34005 1232 9 the the DT A34005 1232 10 length length NN A34005 1232 11 of of IN A34005 1232 12 the the DT A34005 1232 13 Shaddow Shaddow NNP A34005 1232 14 of of IN A34005 1232 15 a a DT A34005 1232 16 Perpendicular Perpendicular NNP A34005 1232 17 Staff Staff NNP A34005 1232 18 and and CC A34005 1232 19 find find VB A34005 1232 20 it -PRON- PRP A34005 1232 21 to to TO A34005 1232 22 be be VB A34005 1232 23 5 5 CD A34005 1232 24 yards yard NNS A34005 1232 25 , , , A34005 1232 26 the the DT A34005 1232 27 length length NN A34005 1232 28 of of IN A34005 1232 29 the the DT A34005 1232 30 Staff Staff NNP A34005 1232 31 being be VBG A34005 1232 32 4 4 CD A34005 1232 33 yards yard NNS A34005 1232 34 , , , A34005 1232 35 and and CC A34005 1232 36 at at IN A34005 1232 37 the the DT A34005 1232 38 same same JJ A34005 1232 39 time time NN A34005 1232 40 the the DT A34005 1232 41 length length NN A34005 1232 42 of of IN A34005 1232 43 the the DT A34005 1232 44 Shaddow Shaddow NNP A34005 1232 45 of of IN A34005 1232 46 a a DT A34005 1232 47 Chimny Chimny NNP A34005 1232 48 , , , A34005 1232 49 the the DT A34005 1232 50 Altitude altitude NN A34005 1232 51 whereof whereof NN A34005 1232 52 is be VBZ A34005 1232 53 demanded demand VBN A34005 1232 54 , , , A34005 1232 55 and and CC A34005 1232 56 find find VB A34005 1232 57 it -PRON- PRP A34005 1232 58 to to TO A34005 1232 59 be be VB A34005 1232 60 22½ 22½ CD A34005 1232 61 yards yard NNS A34005 1232 62 , , , A34005 1232 63 the the DT A34005 1232 64 Proportion Proportion NNP A34005 1232 65 then then RB A34005 1232 66 to to TO A34005 1232 67 acquire acquire VB A34005 1232 68 the the DT A34005 1232 69 Altititude Altititude NNP A34005 1232 70 would would MD A34005 1232 71 be be VB A34005 1232 72 , , , A34005 1232 73 As as IN A34005 1232 74 the the DT A34005 1232 75 length length NN A34005 1232 76 of of IN A34005 1232 77 the the DT A34005 1232 78 shaddow shaddow NN A34005 1232 79 of of IN A34005 1232 80 the the DT A34005 1232 81 Staff Staff NNP A34005 1232 82 , , , A34005 1232 83 To to IN A34005 1232 84 the the DT A34005 1232 85 length length NN A34005 1232 86 of of IN A34005 1232 87 the the DT A34005 1232 88 Staff Staff NNP A34005 1232 89 : : : A34005 1232 90 So so RB A34005 1232 91 the the DT A34005 1232 92 length length NN A34005 1232 93 of of IN A34005 1232 94 the the DT A34005 1232 95 shadow shadow NN A34005 1232 96 of of IN A34005 1232 97 the the DT A34005 1232 98 Chimney Chimney NNP A34005 1232 99 , , , A34005 1232 100 To to IN A34005 1232 101 the the DT A34005 1232 102 height height NN A34005 1232 103 thereof thereof RB A34005 1232 104 , , , A34005 1232 105 that that DT A34005 1232 106 is be VBZ A34005 1232 107 As as IN A34005 1232 108 5 5 CD A34005 1232 109 to to IN A34005 1232 110 4 4 CD A34005 1232 111 : : : A34005 1232 112 So so RB A34005 1232 113 22 22 CD A34005 1232 114 ‑ ‑ CD A34005 1232 115 5 5 CD A34005 1232 116 to to IN A34005 1232 117 18 18 CD A34005 1232 118 yards yard NNS A34005 1232 119 the the DT A34005 1232 120 Altitude altitude NN A34005 1232 121 or or CC A34005 1232 122 height height NN A34005 1232 123 of of IN A34005 1232 124 the the DT A34005 1232 125 Chimney Chimney NNP A34005 1232 126 sought seek VBD A34005 1232 127 , , , A34005 1232 128 Enter enter VB A34005 1232 129 4 4 CD A34005 1232 130 or or CC A34005 1232 131 the the DT A34005 1232 132 great great JJ A34005 1232 133 divisions division NNS A34005 1232 134 upon upon IN A34005 1232 135 5 5 CD A34005 1232 136 , , , A34005 1232 137 laying lay VBG A34005 1232 138 the the DT A34005 1232 139 Thread thread NN A34005 1232 140 to to IN A34005 1232 141 the the DT A34005 1232 142 other other JJ A34005 1232 143 foot foot NN A34005 1232 144 , , , A34005 1232 145 then then RB A34005 1232 146 the the DT A34005 1232 147 nearest near JJS A34005 1232 148 distance distance NN A34005 1232 149 from from IN A34005 1232 150 22 22 CD A34005 1232 151 ‑ ‑ NNP A34005 1232 152 5 5 CD A34005 1232 153 to to IN A34005 1232 154 the the DT A34005 1232 155 Thread thread NN A34005 1232 156 measured measure VBN A34005 1232 157 will will MD A34005 1232 158 be be VB A34005 1232 159 18 18 CD A34005 1232 160 , , , A34005 1232 161 and and CC A34005 1232 162 in in IN A34005 1232 163 this this DT A34005 1232 164 latter latter JJ A34005 1232 165 part part NN A34005 1232 166 each each DT A34005 1232 167 greater great JJR A34005 1232 168 division division NN A34005 1232 169 must must MD A34005 1232 170 be be VB A34005 1232 171 understood understand VBN A34005 1232 172 to to TO A34005 1232 173 be be VB A34005 1232 174 divided divide VBN A34005 1232 175 into into IN A34005 1232 176 ten ten CD A34005 1232 177 parts part NNS A34005 1232 178 . . . A34005 1233 1 And and CC A34005 1233 2 so so RB A34005 1233 3 if if IN A34005 1233 4 the the DT A34005 1233 5 Sun Sun NNP A34005 1233 6 do do VBP A34005 1233 7 not not RB A34005 1233 8 shine shine VB A34005 1233 9 , , , A34005 1233 10 the the DT A34005 1233 11 Altitude altitude NN A34005 1233 12 might may MD A34005 1233 13 be be VB A34005 1233 14 obtained obtain VBN A34005 1233 15 by by IN A34005 1233 16 removing remove VBG A34005 1233 17 till till IN A34005 1233 18 the the DT A34005 1233 19 Top top NN A34005 1233 20 of of IN A34005 1233 21 a a DT A34005 1233 22 Staff staff NN A34005 1233 23 of of IN A34005 1233 24 known know VBN A34005 1233 25 height height NN A34005 1233 26 above above IN A34005 1233 27 the the DT A34005 1233 28 eye eye NN A34005 1233 29 upon upon IN A34005 1233 30 a a DT A34005 1233 31 level level NN A34005 1233 32 ground ground NN A34005 1233 33 be be VB A34005 1233 34 brought bring VBN A34005 1233 35 into into IN A34005 1233 36 the the DT A34005 1233 37 same same JJ A34005 1233 38 Visual visual JJ A34005 1233 39 Line Line NNP A34005 1233 40 with with IN A34005 1233 41 the the DT A34005 1233 42 Top top NN A34005 1233 43 of of IN A34005 1233 44 the the DT A34005 1233 45 Chimney Chimney NNP A34005 1233 46 , , , A34005 1233 47 and and CC A34005 1233 48 then then RB A34005 1233 49 it -PRON- PRP A34005 1233 50 holds hold VBZ A34005 1233 51 , , , A34005 1233 52 As as IN A34005 1233 53 the the DT A34005 1233 54 distance distance NN A34005 1233 55 between between IN A34005 1233 56 the the DT A34005 1233 57 Eye Eye NNP A34005 1233 58 and and CC A34005 1233 59 the the DT A34005 1233 60 Staff Staff NNP A34005 1233 61 , , , A34005 1233 62 To to IN A34005 1233 63 the the DT A34005 1233 64 height height NN A34005 1233 65 of of IN A34005 1233 66 the the DT A34005 1233 67 Staff Staff NNP A34005 1233 68 above above IN A34005 1233 69 the the DT A34005 1233 70 eye eye NN A34005 1233 71 : : : A34005 1233 72 So so RB A34005 1233 73 the the DT A34005 1233 74 distance distance NN A34005 1233 75 between between IN A34005 1233 76 the the DT A34005 1233 77 Eye Eye NNP A34005 1233 78 and and CC A34005 1233 79 the the DT A34005 1233 80 Chimney Chimney NNP A34005 1233 81 . . . A34005 1234 1 To to IN A34005 1234 2 the the DT A34005 1234 3 height height NN A34005 1234 4 of of IN A34005 1234 5 the the DT A34005 1234 6 Chimney Chimney NNP A34005 1234 7 above above IN A34005 1234 8 the the DT A34005 1234 9 Eye eye NN A34005 1234 10 . . . A34005 1235 1 Some some DT A34005 1235 2 do do VBP A34005 1235 3 this this DT A34005 1235 4 by by IN A34005 1235 5 a a DT A34005 1235 6 Looking Looking NNP A34005 1235 7 Glass Glass NNP A34005 1235 8 , , , A34005 1235 9 others other NNS A34005 1235 10 by by IN A34005 1235 11 a a DT A34005 1235 12 Bowl Bowl NNP A34005 1235 13 of of IN A34005 1235 14 Water Water NNP A34005 1235 15 , , , A34005 1235 16 by by IN A34005 1235 17 going go VBG A34005 1235 18 back back RB A34005 1235 19 till till IN A34005 1235 20 they -PRON- PRP A34005 1235 21 can can MD A34005 1235 22 see see VB A34005 1235 23 the the DT A34005 1235 24 top top NN A34005 1235 25 of of IN A34005 1235 26 the the DT A34005 1235 27 object object NN A34005 1235 28 therein therein RB A34005 1235 29 , , , A34005 1235 30 and and CC A34005 1235 31 then then RB A34005 1235 32 the the DT A34005 1235 33 former former JJ A34005 1235 34 Proportion Proportion NNP A34005 1235 35 serves serve VBZ A34005 1235 36 , , , A34005 1235 37 mutatis mutatis NN A34005 1235 38 mutandis mutandis NN A34005 1235 39 . . . A34005 1236 1 But but CC A34005 1236 2 Proportions proportion NNS A34005 1236 3 in in IN A34005 1236 4 equal equal JJ A34005 1236 5 parts part NNS A34005 1236 6 will will MD A34005 1236 7 be be VB A34005 1236 8 easily easily RB A34005 1236 9 wrought work VBN A34005 1236 10 by by IN A34005 1236 11 the the DT A34005 1236 12 Pen Pen NNP A34005 1236 13 , , , A34005 1236 14 the the DT A34005 1236 15 chief chief JJ A34005 1236 16 use use NN A34005 1236 17 therefore therefore RB A34005 1236 18 of of IN A34005 1236 19 this this DT A34005 1236 20 Line Line NNP A34005 1236 21 will will MD A34005 1236 22 be be VB A34005 1236 23 for for IN A34005 1236 24 Protraction Protraction NNP A34005 1236 25 , , , A34005 1236 26 Mensuration Mensuration NNP A34005 1236 27 , , , A34005 1236 28 and and CC A34005 1236 29 to to TO A34005 1236 30 divide divide VB A34005 1236 31 a a DT A34005 1236 32 Line line NN A34005 1236 33 of of IN A34005 1236 34 lesser less JJR A34005 1236 35 length length NN A34005 1236 36 then then RB A34005 1236 37 the the DT A34005 1236 38 Radius Radius NNP A34005 1236 39 of of IN A34005 1236 40 the the DT A34005 1236 41 Quadrant Quadrant NNP A34005 1236 42 Proportionally proportionally RB A34005 1236 43 into into IN A34005 1236 44 the the DT A34005 1236 45 like like JJ A34005 1236 46 parts part NNS A34005 1236 47 the the DT A34005 1236 48 Scale Scale NNP A34005 1236 49 is be VBZ A34005 1236 50 divided divide VBN A34005 1236 51 , , , A34005 1236 52 which which WDT A34005 1236 53 may may MD A34005 1236 54 be be VB A34005 1236 55 readily readily RB A34005 1236 56 done do VBN A34005 1236 57 , , , A34005 1236 58 and and CC A34005 1236 59 so so RB A34005 1236 60 any any DT A34005 1236 61 Proportional proportional JJ A34005 1236 62 part part NN A34005 1236 63 taken take VBN A34005 1236 64 off off RP A34005 1236 65 , , , A34005 1236 66 to to TO A34005 1236 67 do do VB A34005 1236 68 it -PRON- PRP A34005 1236 69 Enter enter VB A34005 1236 70 the the DT A34005 1236 71 length length NN A34005 1236 72 of of IN A34005 1236 73 the the DT A34005 1236 74 Line Line NNP A34005 1236 75 proposed propose VBN A34005 1236 76 at at IN A34005 1236 77 the the DT A34005 1236 78 end end NN A34005 1236 79 of of IN A34005 1236 80 the the DT A34005 1236 81 Scale Scale NNP A34005 1236 82 at at IN A34005 1236 83 10 10 CD A34005 1236 84 , , , A34005 1236 85 and and CC A34005 1236 86 to to IN A34005 1236 87 the the DT A34005 1236 88 other other JJ A34005 1236 89 foot foot NN A34005 1236 90 lay lie VBD A34005 1236 91 the the DT A34005 1236 92 Thread thread NN A34005 1236 93 the the DT A34005 1236 94 nearest near JJS A34005 1236 95 distances distance NNS A34005 1236 96 from from IN A34005 1236 97 the the DT A34005 1236 98 several several JJ A34005 1236 99 parts part NNS A34005 1236 100 of of IN A34005 1236 101 the the DT A34005 1236 102 graduated graduate VBN A34005 1236 103 Scale Scale NNP A34005 1236 104 to to IN A34005 1236 105 the the DT A34005 1236 106 Thread thread NN A34005 1236 107 shall shall MD A34005 1236 108 be be VB A34005 1236 109 the the DT A34005 1236 110 like like UH A34005 1236 111 Proportional proportional JJ A34005 1236 112 parts part NNS A34005 1236 113 to to IN A34005 1236 114 the the DT A34005 1236 115 length length NN A34005 1236 116 of of IN A34005 1236 117 the the DT A34005 1236 118 Line Line NNP A34005 1236 119 proposed propose VBN A34005 1236 120 , , , A34005 1236 121 the the DT A34005 1236 122 Proportion Proportion NNP A34005 1236 123 thus thus RB A34005 1236 124 wrought work VBD A34005 1236 125 is be VBZ A34005 1236 126 , , , A34005 1236 127 As as IN A34005 1236 128 the the DT A34005 1236 129 length length NN A34005 1236 130 of of IN A34005 1236 131 the the DT A34005 1236 132 graduated graduate VBN A34005 1236 133 Scale Scale NNP A34005 1236 134 , , , A34005 1236 135 To to IN A34005 1236 136 any any DT A34005 1236 137 lesser less JJR A34005 1236 138 length length NN A34005 1236 139 : : : A34005 1236 140 So so CC A34005 1236 141 the the DT A34005 1236 142 parts part NNS A34005 1236 143 of of IN A34005 1236 144 the the DT A34005 1236 145 Scale Scale NNP A34005 1236 146 , , , A34005 1236 147 To to IN A34005 1236 148 the the DT A34005 1236 149 Proportional Proportional NNP A34005 1236 150 like like IN A34005 1236 151 parts part NNS A34005 1236 152 to to IN A34005 1236 153 that that DT A34005 1236 154 other other JJ A34005 1236 155 length length NN A34005 1236 156 . . . A34005 1237 1 Of of IN A34005 1237 2 the the DT A34005 1237 3 Line Line NNP A34005 1237 4 of of IN A34005 1237 5 Tangents Tangents NNPS A34005 1237 6 on on IN A34005 1237 7 the the DT A34005 1237 8 left left JJ A34005 1237 9 edge edge NN A34005 1237 10 of of IN A34005 1237 11 the the DT A34005 1237 12 Quadrant Quadrant NNP A34005 1237 13 . . . A34005 1238 1 THe the DT A34005 1238 2 chief chief JJ A34005 1238 3 Uses use NNS A34005 1238 4 of of IN A34005 1238 5 this this DT A34005 1238 6 Scale Scale NNP A34005 1238 7 will will MD A34005 1238 8 be be VB A34005 1238 9 to to TO A34005 1238 10 operate operate VB A34005 1238 11 Proportions Proportions NNP A34005 1238 12 either either CC A34005 1238 13 in in IN A34005 1238 14 Tangents tangent NNS A34005 1238 15 alone alone RB A34005 1238 16 or or CC A34005 1238 17 jointly jointly RB A34005 1238 18 , , , A34005 1238 19 either either CC A34005 1238 20 with with IN A34005 1238 21 Sines Sines NNPS A34005 1238 22 or or CC A34005 1238 23 equal equal JJ A34005 1238 24 parts part NNS A34005 1238 25 , , , A34005 1238 26 to to TO A34005 1238 27 prick prick VB A34005 1238 28 down down RP A34005 1238 29 Dyals dyal NNS A34005 1238 30 , , , A34005 1238 31 and and CC A34005 1238 32 to to TO A34005 1238 33 proportion proportion VB A34005 1238 34 out out RP A34005 1238 35 a a DT A34005 1238 36 Tangent tangent NN A34005 1238 37 to to IN A34005 1238 38 any any DT A34005 1238 39 lesser less JJR A34005 1238 40 Radius Radius NNP A34005 1238 41 ▪ ▪ NN A34005 1238 42 To to TO A34005 1238 43 work work VB A34005 1238 44 Proportions Proportions NNP A34005 1238 45 in in IN A34005 1238 46 Tangents Tangents NNP A34005 1238 47 alone alone RB A34005 1238 48 . . . A34005 1239 1 1 1 LS A34005 1239 2 . . . A34005 1240 1 Of of IN A34005 1240 2 the the DT A34005 1240 3 greater great JJR A34005 1240 4 to to IN A34005 1240 5 the the DT A34005 1240 6 less less JJR A34005 1240 7 . . . A34005 1241 1 Enter enter VB A34005 1241 2 the the DT A34005 1241 3 second second JJ A34005 1241 4 Tearm Tearm NNP A34005 1241 5 taken take VBN A34005 1241 6 out out IN A34005 1241 7 of of IN A34005 1241 8 the the DT A34005 1241 9 Scale Scale NNP A34005 1241 10 upon upon IN A34005 1241 11 the the DT A34005 1241 12 first first JJ A34005 1241 13 , , , A34005 1241 14 laying lay VBG A34005 1241 15 the the DT A34005 1241 16 Thread thread NN A34005 1241 17 to to IN A34005 1241 18 the the DT A34005 1241 19 other other JJ A34005 1241 20 foot foot NN A34005 1241 21 , , , A34005 1241 22 then then RB A34005 1241 23 the the DT A34005 1241 24 nearest near JJS A34005 1241 25 distance distance NN A34005 1241 26 from from IN A34005 1241 27 the the DT A34005 1241 28 third third JJ A34005 1241 29 Tearm Tearm NNP A34005 1241 30 to to IN A34005 1241 31 the the DT A34005 1241 32 Thread Thread NNP A34005 1241 33 being be VBG A34005 1241 34 taken take VBN A34005 1241 35 out out RP A34005 1241 36 and and CC A34005 1241 37 measured measure VBN A34005 1241 38 from from IN A34005 1241 39 the the DT A34005 1241 40 Center Center NNP A34005 1241 41 shews shew VBZ A34005 1241 42 the the DT A34005 1241 43 4th 4th JJ A34005 1241 44 Proportional Proportional NNP A34005 1241 45 . . . A34005 1242 1 But but CC A34005 1242 2 if if IN A34005 1242 3 the the DT A34005 1242 4 Proportion proportion NN A34005 1242 5 be be VBP A34005 1242 6 of of IN A34005 1242 7 the the DT A34005 1242 8 less less JJR A34005 1242 9 to to IN A34005 1242 10 the the DT A34005 1242 11 greater great JJR A34005 1242 12 , , , A34005 1242 13 Enter enter VB A34005 1242 14 the the DT A34005 1242 15 first first JJ A34005 1242 16 Tearm Tearm NNP A34005 1242 17 taken take VBN A34005 1242 18 out out IN A34005 1242 19 of of IN A34005 1242 20 the the DT A34005 1242 21 Scale Scale NNP A34005 1242 22 upon upon IN A34005 1242 23 the the DT A34005 1242 24 second second JJ A34005 1242 25 , , , A34005 1242 26 and and CC A34005 1242 27 lay lie VBD A34005 1242 28 the the DT A34005 1242 29 Thread thread NN A34005 1242 30 to to IN A34005 1242 31 the the DT A34005 1242 32 other other JJ A34005 1242 33 foot foot NN A34005 1242 34 , , , A34005 1242 35 then then RB A34005 1242 36 enter enter VB A34005 1242 37 the the DT A34005 1242 38 third third JJ A34005 1242 39 Tearm Tearm NNP A34005 1242 40 taken take VBN A34005 1242 41 out out IN A34005 1242 42 of of IN A34005 1242 43 the the DT A34005 1242 44 Scale scale NN A34005 1242 45 between between IN A34005 1242 46 the the DT A34005 1242 47 Thread thread NN A34005 1242 48 and and CC A34005 1242 49 the the DT A34005 1242 50 Scale Scale NNP A34005 1242 51 , , , A34005 1242 52 and and CC A34005 1242 53 the the DT A34005 1242 54 foot foot NN A34005 1242 55 of of IN A34005 1242 56 Compasses compass NNS A34005 1242 57 will will MD A34005 1242 58 shew shew VB A34005 1242 59 the the DT A34005 1242 60 4 4 CD A34005 1242 61 Proportional Proportional NNP A34005 1242 62 . . . A34005 1243 1 Example example NN A34005 1243 2 . . . A34005 1244 1 Of of IN A34005 1244 2 the the DT A34005 1244 3 greater great JJR A34005 1244 4 to to IN A34005 1244 5 the the DT A34005 1244 6 less less JJR A34005 1244 7 , , , A34005 1244 8 As as IN A34005 1244 9 the the DT A34005 1244 10 Tangent Tangent NNP A34005 1244 11 of of IN A34005 1244 12 50d 50d NNS A34005 1244 13 , , , A34005 1244 14 To to IN A34005 1244 15 the the DT A34005 1244 16 Tangent Tangent NNP A34005 1244 17 of of IN A34005 1244 18 20d 20d NNS A34005 1244 19 : : : A34005 1244 20 So so CC A34005 1244 21 the the DT A34005 1244 22 Tangent Tangent NNP A34005 1244 23 of of IN A34005 1244 24 30 30 CD A34005 1244 25 , , , A34005 1244 26 To to IN A34005 1244 27 the the DT A34005 1244 28 Tangent Tangent NNP A34005 1244 29 of of IN A34005 1244 30 10d 10d NNS A34005 1244 31 . . . A34005 1245 1 To to TO A34005 1245 2 work work VB A34005 1245 3 this this DT A34005 1245 4 take take VB A34005 1245 5 the the DT A34005 1245 6 Tangent Tangent NNP A34005 1245 7 of of IN A34005 1245 8 20 20 CD A34005 1245 9 ● ● NFP A34005 1245 10 in in IN A34005 1245 11 the the DT A34005 1245 12 Compasses Compasses NNPS A34005 1245 13 , , , A34005 1245 14 and and CC A34005 1245 15 entring entre VBG A34005 1245 16 one one CD A34005 1245 17 foot foot NN A34005 1245 18 of of IN A34005 1245 19 that that DT A34005 1245 20 extent extent NN A34005 1245 21 at at IN A34005 1245 22 50d 50d NNS A34005 1245 23 , , , A34005 1245 24 lay lie VBD A34005 1245 25 the the DT A34005 1245 26 Thread thread NN A34005 1245 27 to to IN A34005 1245 28 the the DT A34005 1245 29 other other JJ A34005 1245 30 , , , A34005 1245 31 according accord VBG A34005 1245 32 to to IN A34005 1245 33 the the DT A34005 1245 34 nearest near JJS A34005 1245 35 distance distance NN A34005 1245 36 , , , A34005 1245 37 then then RB A34005 1245 38 will will MD A34005 1245 39 the the DT A34005 1245 40 nearest near JJS A34005 1245 41 distance distance NN A34005 1245 42 from from IN A34005 1245 43 the the DT A34005 1245 44 Tangent Tangent NNP A34005 1245 45 of of IN A34005 1245 46 30d 30d CD A34005 1245 47 to to IN A34005 1245 48 the the DT A34005 1245 49 Thread Thread NNP A34005 1245 50 being be VBG A34005 1245 51 measured measure VBN A34005 1245 52 on on IN A34005 1245 53 the the DT A34005 1245 54 Line Line NNP A34005 1245 55 of of IN A34005 1245 56 Tangents tangent NNS A34005 1245 57 from from IN A34005 1245 58 the the DT A34005 1245 59 Center Center NNP A34005 1245 60 be be VB A34005 1245 61 the the DT A34005 1245 62 Tangent Tangent NNP A34005 1245 63 of of IN A34005 1245 64 10d 10d NNS A34005 1245 65 the the DT A34005 1245 66 fourth fourth JJ A34005 1245 67 Proportional Proportional NNP A34005 1245 68 . . . A34005 1246 1 By by IN A34005 1246 2 inverting invert VBG A34005 1246 3 the the DT A34005 1246 4 Order order NN A34005 1246 5 of of IN A34005 1246 6 the the DT A34005 1246 7 Tearms Tearms NNPS A34005 1246 8 , , , A34005 1246 9 it -PRON- PRP A34005 1246 10 will will MD A34005 1246 11 be be VB A34005 1246 12 , , , A34005 1246 13 Of of IN A34005 1246 14 the the DT A34005 1246 15 less less JJR A34005 1246 16 to to IN A34005 1246 17 the the DT A34005 1246 18 greater great JJR A34005 1246 19 . . . A34005 1247 1 As as IN A34005 1247 2 the the DT A34005 1247 3 Tangent Tangent NNP A34005 1247 4 of of IN A34005 1247 5 20d 20d NNS A34005 1247 6 , , , A34005 1247 7 To to IN A34005 1247 8 the the DT A34005 1247 9 Tangent Tangent NNP A34005 1247 10 of of IN A34005 1247 11 50d 50d NNS A34005 1247 12 : : : A34005 1247 13 So so CC A34005 1247 14 the the DT A34005 1247 15 Tangent Tangent NNP A34005 1247 16 of of IN A34005 1247 17 10d 10d NNS A34005 1247 18 , , , A34005 1247 19 To to IN A34005 1247 20 the the DT A34005 1247 21 Tangent Tangent NNP A34005 1247 22 of of IN A34005 1247 23 30d 30d NNS A34005 1247 24 , , , A34005 1247 25 to to TO A34005 1247 26 be be VB A34005 1247 27 wrought work VBN A34005 1247 28 by by IN A34005 1247 29 a a DT A34005 1247 30 Parralel Parralel NNP A34005 1247 31 entrance entrance NN A34005 1247 32 . . . A34005 1248 1 This this DT A34005 1248 2 Scale Scale NNP A34005 1248 3 of of IN A34005 1248 4 Tangents Tangents NNP A34005 1248 5 is be VBZ A34005 1248 6 continued continue VBN A34005 1248 7 but but CC A34005 1248 8 to to IN A34005 1248 9 two two CD A34005 1248 10 Radii Radii NNP A34005 1248 11 , , , A34005 1248 12 or or CC A34005 1248 13 63d 63d NNS A34005 1248 14 26′ 26′ CD A34005 1248 15 whereas whereas IN A34005 1248 16 in in IN A34005 1248 17 many many JJ A34005 1248 18 Cases case NNS A34005 1248 19 the the DT A34005 1248 20 Tearms Tearms NNPS A34005 1248 21 given give VBN A34005 1248 22 or or CC A34005 1248 23 sought seek VBD A34005 1248 24 may may MD A34005 1248 25 out out RB A34005 1248 26 - - : A34005 1248 27 reach reach VB A34005 1248 28 the the DT A34005 1248 29 length length NN A34005 1248 30 of of IN A34005 1248 31 the the DT A34005 1248 32 Scale Scale NNP A34005 1248 33 , , , A34005 1248 34 in in IN A34005 1248 35 such such JJ A34005 1248 36 Cases case NNS A34005 1248 37 the the DT A34005 1248 38 Propprtion Propprtion NNP A34005 1248 39 must must MD A34005 1248 40 be be VB A34005 1248 41 changed change VBN A34005 1248 42 according accord VBG A34005 1248 43 to to IN A34005 1248 44 such such JJ A34005 1248 45 Directions Directions NNPS A34005 1248 46 as as RB A34005 1248 47 are be VBP A34005 1248 48 given give VBN A34005 1248 49 for for IN A34005 1248 50 varying varying NN A34005 1248 51 of of IN A34005 1248 52 Proportions Proportions NNPS A34005 1248 53 at at IN A34005 1248 54 the the DT A34005 1248 55 end end NN A34005 1248 56 of of IN A34005 1248 57 the the DT A34005 1248 58 16 16 CD A34005 1248 59 Cases case NNS A34005 1248 60 of of IN A34005 1248 61 right right NN A34005 1248 62 angled angle VBN A34005 1248 63 Sphoerical Sphoerical NNP A34005 1248 64 Triangles Triangles NNPS A34005 1248 65 . . . A34005 1249 1 In in IN A34005 1249 2 two two CD A34005 1249 3 Cases case NNS A34005 1249 4 all all PDT A34005 1249 5 the the DT A34005 1249 6 Rules Rules NNPS A34005 1249 7 delivered deliver VBN A34005 1249 8 for for IN A34005 1249 9 varying varying NN A34005 1249 10 of of IN A34005 1249 11 Proportions Proportions NNPS A34005 1249 12 will will MD A34005 1249 13 not not RB A34005 1249 14 so so RB A34005 1249 15 vary vary VB A34005 1249 16 a a DT A34005 1249 17 Proportion Proportion NNP A34005 1249 18 as as IN A34005 1249 19 that that IN A34005 1249 20 it -PRON- PRP A34005 1249 21 may may MD A34005 1249 22 be be VB A34005 1249 23 wrought work VBN A34005 1249 24 on on IN A34005 1249 25 this this DT A34005 1249 26 Line Line NNP A34005 1249 27 of of IN A34005 1249 28 Tangents Tangents NNP A34005 1249 29 . . . A34005 1250 1 First first RB A34005 1250 2 when when WRB A34005 1250 3 the the DT A34005 1250 4 first first JJ A34005 1250 5 Tearm Tearm NNP A34005 1250 6 is be VBZ A34005 1250 7 greater great JJR A34005 1250 8 then then RB A34005 1250 9 63d 63d CD A34005 1250 10 26′ 26′ CD A34005 1250 11 the the DT A34005 1250 12 length length NN A34005 1250 13 of of IN A34005 1250 14 the the DT A34005 1250 15 Scale Scale NNP A34005 1250 16 , , , A34005 1250 17 and and CC A34005 1250 18 the the DT A34005 1250 19 rwo rwo NN A34005 1250 20 middle middle NNP A34005 1250 21 Tearms Tearms NNP A34005 1250 22 each each DT A34005 1250 23 less less JJR A34005 1250 24 then then RB A34005 1250 25 26d 26d CD A34005 1250 26 34′ 34′ CD A34005 1250 27 the the DT A34005 1250 28 Complement Complement NNP A34005 1250 29 of of IN A34005 1250 30 the the DT A34005 1250 31 Scale Scale NNP A34005 1250 32 wanting wanting NN A34005 1250 33 ; ; : A34005 1250 34 In in IN A34005 1250 35 this this DT A34005 1250 36 Case Case NNP A34005 1250 37 if if IN A34005 1250 38 any any DT A34005 1250 39 two two CD A34005 1250 40 Tearms tearm NNS A34005 1250 41 of of IN A34005 1250 42 the the DT A34005 1250 43 Proportion proportion NN A34005 1250 44 be be VB A34005 1250 45 varied varied JJ A34005 1250 46 according accord VBG A34005 1250 47 to to IN A34005 1250 48 the the DT A34005 1250 49 Rules Rules NNPS A34005 1250 50 for for IN A34005 1250 51 varying varying NN A34005 1250 52 of of IN A34005 1250 53 Proportions proportion NNS A34005 1250 54 , , , A34005 1250 55 there there EX A34005 1250 56 will will MD A34005 1250 57 be be VB A34005 1250 58 either either CC A34005 1250 59 in in IN A34005 1250 60 the the DT A34005 1250 61 given give VBN A34005 1250 62 Tearms tearm NNS A34005 1250 63 or or CC A34005 1250 64 Answer Answer NNP A34005 1250 65 such such PDT A34005 1250 66 a a DT A34005 1250 67 Tangent Tangent NNP A34005 1250 68 as as IN A34005 1250 69 shall shall MD A34005 1250 70 exceed exceed VB A34005 1250 71 the the DT A34005 1250 72 length length NN A34005 1250 73 of of IN A34005 1250 74 the the DT A34005 1250 75 Scale Scale NNP A34005 1250 76 , , , A34005 1250 77 but but CC A34005 1250 78 it -PRON- PRP A34005 1250 79 may may MD A34005 1250 80 be be VB A34005 1250 81 remedied remedie VBN A34005 1250 82 by by IN A34005 1250 83 a a DT A34005 1250 84 double double JJ A34005 1250 85 Proportion proportion NN A34005 1250 86 by by IN A34005 1250 87 the the DT A34005 1250 88 reason reason NN A34005 1250 89 before before IN A34005 1250 90 delivered deliver VBN A34005 1250 91 for for IN A34005 1250 92 introducing introduce VBG A34005 1250 93 the the DT A34005 1250 94 Radius Radius NNP A34005 1250 95 into into IN A34005 1250 96 a a DT A34005 1250 97 Proportion proportion NN A34005 1250 98 wherein wherein WRB A34005 1250 99 it -PRON- PRP A34005 1250 100 is be VBZ A34005 1250 101 not not RB A34005 1250 102 ingredient ingredient JJ A34005 1250 103 . . . A34005 1251 1 As as IN A34005 1251 2 the the DT A34005 1251 3 Radius Radius NNP A34005 1251 4 , , , A34005 1251 5 To to IN A34005 1251 6 the the DT A34005 1251 7 Tangent tangent NN A34005 1251 8 of of IN A34005 1251 9 one one CD A34005 1251 10 of of IN A34005 1251 11 the the DT A34005 1251 12 middle middle JJ A34005 1251 13 Tearms Tearms NNPS A34005 1251 14 : : : A34005 1251 15 So so CC A34005 1251 16 the the DT A34005 1251 17 Tangent tangent NN A34005 1251 18 of of IN A34005 1251 19 the the DT A34005 1251 20 other other JJ A34005 1251 21 middle middle JJ A34005 1251 22 Tearm Tearm NNP A34005 1251 23 , , , A34005 1251 24 To to IN A34005 1251 25 a a DT A34005 1251 26 fourth fourth JJ A34005 1251 27 Tangent tangent NN A34005 1251 28 : : : A34005 1251 29 Again again RB A34005 1251 30 . . . A34005 1252 1 As as IN A34005 1252 2 the the DT A34005 1252 3 Radius Radius NNP A34005 1252 4 , , , A34005 1252 5 To to IN A34005 1252 6 that that DT A34005 1252 7 fourth fourth JJ A34005 1252 8 Tangent tangent NN A34005 1252 9 : : : A34005 1252 10 So so RB A34005 1252 11 is be VBZ A34005 1252 12 the the DT A34005 1252 13 Cotangent Cotangent NNP A34005 1252 14 of of IN A34005 1252 15 the the DT A34005 1252 16 first first JJ A34005 1252 17 Tearm Tearm NNP A34005 1252 18 , , , A34005 1252 19 To to IN A34005 1252 20 the the DT A34005 1252 21 Tangent tangent NN A34005 1252 22 of of IN A34005 1252 23 the the DT A34005 1252 24 fourth fourth JJ A34005 1252 25 Ark Ark NNP A34005 1252 26 sought seek VBD A34005 1252 27 . . . A34005 1253 1 The the DT A34005 1253 2 Radius Radius NNP A34005 1253 3 may may MD A34005 1253 4 be be VB A34005 1253 5 otherways otherway NNS A34005 1253 6 introduced introduce VBN A34005 1253 7 into into IN A34005 1253 8 a a DT A34005 1253 9 Proportion proportion NN A34005 1253 10 then then RB A34005 1253 11 here here RB A34005 1253 12 is be VBZ A34005 1253 13 done do VBN A34005 1253 14 , , , A34005 1253 15 but but CC A34005 1253 16 not not RB A34005 1253 17 conducing conduce VBG A34005 1253 18 to to IN A34005 1253 19 this this DT A34005 1253 20 present present JJ A34005 1253 21 purpose purpose NN A34005 1253 22 , , , A34005 1253 23 and and CC A34005 1253 24 therefore therefore RB A34005 1253 25 not not RB A34005 1253 26 mentioned mention VBN A34005 1253 27 till till IN A34005 1253 28 there there EX A34005 1253 29 be be VB A34005 1253 30 use use NN A34005 1253 31 of of IN A34005 1253 32 it -PRON- PRP A34005 1253 33 , , , A34005 1253 34 which which WDT A34005 1253 35 will will MD A34005 1253 36 be be VB A34005 1253 37 upon upon IN A34005 1253 38 the the DT A34005 1253 39 backside backside NN A34005 1253 40 of of IN A34005 1253 41 a a DT A34005 1253 42 great great JJ A34005 1253 43 Quadrant quadrant NN A34005 1253 44 of of IN A34005 1253 45 a a DT A34005 1253 46 different different JJ A34005 1253 47 contrivance contrivance NN A34005 1253 48 from from IN A34005 1253 49 this this DT A34005 1253 50 , , , A34005 1253 51 upon upon IN A34005 1253 52 which which WDT A34005 1253 53 this this DT A34005 1253 54 trouble trouble NN A34005 1253 55 with with IN A34005 1253 56 the the DT A34005 1253 57 Tangents Tangents NNP A34005 1253 58 will will MD A34005 1253 59 be be VB A34005 1253 60 shunned shun VBN A34005 1253 61 . . . A34005 1254 1 An an DT A34005 1254 2 Example example NN A34005 1254 3 for for IN A34005 1254 4 this this DT A34005 1254 5 Case case NN A34005 1254 6 . . . A34005 1255 1 As as IN A34005 1255 2 the the DT A34005 1255 3 Tangent Tangent NNP A34005 1255 4 of of IN A34005 1255 5 65d 65d NNS A34005 1255 6 , , , A34005 1255 7 To to IN A34005 1255 8 Tangent Tangent NNP A34005 1255 9 of of IN A34005 1255 10 24d 24d NNS A34005 1255 11 : : : A34005 1255 12 So so CC A34005 1255 13 the the DT A34005 1255 14 Tangent Tangent NNP A34005 1255 15 of of IN A34005 1255 16 20d 20d NNS A34005 1255 17 , , , A34005 1255 18 To to IN A34005 1255 19 what what WDT A34005 1255 20 Tangent Tangent NNP A34005 1255 21 ? ? . A34005 1256 1 the the DT A34005 1256 2 Proportion Proportion NNP A34005 1256 3 will will MD A34005 1256 4 find find VB A34005 1256 5 4d 4d CD A34005 1256 6 , , , A34005 1256 7 10′ 10′ CD A34005 1256 8 . . . A34005 1257 1 Divided divide VBN A34005 1257 2 into into IN A34005 1257 3 two two CD A34005 1257 4 Proportions Proportions NNPS A34005 1257 5 will will MD A34005 1257 6 be be VB A34005 1257 7 , , , A34005 1257 8 As as IN A34005 1257 9 Radius Radius NNP A34005 1257 10 , , , A34005 1257 11 To to IN A34005 1257 12 Tangent Tangent NNP A34005 1257 13 24d 24d NNS A34005 1257 14 : : : A34005 1257 15 So so RB A34005 1257 16 Tangent Tangent NNP A34005 1257 17 of of IN A34005 1257 18 20d 20d NNS A34005 1257 19 , , , A34005 1257 20 To to IN A34005 1257 21 a a DT A34005 1257 22 fourth fourth JJ A34005 1257 23 , , , A34005 1257 24 the the DT A34005 1257 25 quantity quantity NN A34005 1257 26 whereof whereof NNP A34005 1257 27 need nee MD A34005 1257 28 not not RB A34005 1257 29 be be VB A34005 1257 30 measured measure VBN A34005 1257 31 . . . A34005 1258 1 Again again RB A34005 1258 2 . . . A34005 1259 1 As as IN A34005 1259 2 Radius Radius NNP A34005 1259 3 , , , A34005 1259 4 To to IN A34005 1259 5 that that DT A34005 1259 6 fourth fourth RB A34005 1259 7 : : : A34005 1259 8 So so CC A34005 1259 9 the the DT A34005 1259 10 Tangent Tangent NNP A34005 1259 11 of of IN A34005 1259 12 25d 25d NNS A34005 1259 13 , , , A34005 1259 14 the the DT A34005 1259 15 Complement Complement NNP A34005 1259 16 of of IN A34005 1259 17 the the DT A34005 1259 18 first first JJ A34005 1259 19 Tearm Tearm NNP A34005 1259 20 , , , A34005 1259 21 To to IN A34005 1259 22 the the DT A34005 1259 23 Tangent Tangent NNP A34005 1259 24 of of IN A34005 1259 25 4d 4d CD A34005 1259 26 26′ 26′ CD A34005 1259 27 , , , A34005 1259 28 the the DT A34005 1259 29 fourth fourth JJ A34005 1259 30 Tangent tangent NN A34005 1259 31 sought seek VBD A34005 1259 32 . . . A34005 1260 1 Operation operation NN A34005 1260 2 . . . A34005 1261 1 First first RB A34005 1261 2 enter enter VB A34005 1261 3 the the DT A34005 1261 4 Tangent Tangent NNP A34005 1261 5 of of IN A34005 1261 6 24d 24d NNS A34005 1261 7 on on IN A34005 1261 8 the the DT A34005 1261 9 Radius Radius NNP A34005 1261 10 or or CC A34005 1261 11 Tangent Tangent NNP A34005 1261 12 of of IN A34005 1261 13 45d 45d NNS A34005 1261 14 laying lay VBG A34005 1261 15 the the DT A34005 1261 16 Thread thread NN A34005 1261 17 to to IN A34005 1261 18 the the DT A34005 1261 19 other other JJ A34005 1261 20 foot foot NN A34005 1261 21 , , , A34005 1261 22 then then RB A34005 1261 23 take take VB A34005 1261 24 the the DT A34005 1261 25 nearest near JJS A34005 1261 26 distance distance NN A34005 1261 27 to to IN A34005 1261 28 it -PRON- PRP A34005 1261 29 from from IN A34005 1261 30 20d 20d NNS A34005 1261 31 , , , A34005 1261 32 and and CC A34005 1261 33 enter enter VB A34005 1261 34 that that DT A34005 1261 35 extent extent NN A34005 1261 36 at at IN A34005 1261 37 45d 45d CD A34005 1261 38 , , , A34005 1261 39 laying lay VBG A34005 1261 40 the the DT A34005 1261 41 Thread thread NN A34005 1261 42 to to IN A34005 1261 43 the the DT A34005 1261 44 other other JJ A34005 1261 45 foot foot NN A34005 1261 46 , , , A34005 1261 47 then then RB A34005 1261 48 will will MD A34005 1261 49 the the DT A34005 1261 50 nearest near JJS A34005 1261 51 distance distance NN A34005 1261 52 from from IN A34005 1261 53 25d 25d NNS A34005 1261 54 , , , A34005 1261 55 to to IN A34005 1261 56 the the DT A34005 1261 57 Thread Thread NNP A34005 1261 58 if if IN A34005 1261 59 measured measure VBN A34005 1261 60 from from IN A34005 1261 61 the the DT A34005 1261 62 Center Center NNP A34005 1261 63 be be VB A34005 1261 64 the the DT A34005 1261 65 Tangent Tangent NNP A34005 1261 66 of of IN A34005 1261 67 5d 5d CD A34005 1261 68 26′ 26′ CD A34005 1261 69 sought seek VBD A34005 1261 70 . . . A34005 1262 1 The the DT A34005 1262 2 second second JJ A34005 1262 3 Case Case NNP A34005 1262 4 is be VBZ A34005 1262 5 when when WRB A34005 1262 6 the the DT A34005 1262 7 first first JJ A34005 1262 8 Tearm Tearm NNP A34005 1262 9 of of IN A34005 1262 10 the the DT A34005 1262 11 Proportion Proportion NNP A34005 1262 12 is be VBZ A34005 1262 13 less less JJR A34005 1262 14 then then RB A34005 1262 15 the the DT A34005 1262 16 Complement Complement NNP A34005 1262 17 of of IN A34005 1262 18 the the DT A34005 1262 19 Scale Scale NNP A34005 1262 20 wanting wanting NN A34005 1262 21 , , , A34005 1262 22 and and CC A34005 1262 23 the the DT A34005 1262 24 two two CD A34005 1262 25 middle middle JJ A34005 1262 26 Tearms Tearms NNPS A34005 1262 27 greater great JJR A34005 1262 28 then then RB A34005 1262 29 the the DT A34005 1262 30 length length NN A34005 1262 31 of of IN A34005 1262 32 the the DT A34005 1262 33 Scale Scale NNP A34005 1262 34 . . . A34005 1263 1 This this DT A34005 1263 2 ariseth ariseth NN A34005 1263 3 from from IN A34005 1263 4 the the DT A34005 1263 5 former former JJ A34005 1263 6 , , , A34005 1263 7 for for IN A34005 1263 8 if if IN A34005 1263 9 the the DT A34005 1263 10 Tearms Tearms NNP A34005 1263 11 given give VBN A34005 1263 12 were be VBD A34005 1263 13 the the DT A34005 1263 14 Complements Complements NNPS A34005 1263 15 of of IN A34005 1263 16 those those DT A34005 1263 17 in in IN A34005 1263 18 the the DT A34005 1263 19 former former JJ A34005 1263 20 Example Example NNP A34005 1263 21 , , , A34005 1263 22 they -PRON- PRP A34005 1263 23 would would MD A34005 1263 24 be be VB A34005 1263 25 agreeable agreeable JJ A34005 1263 26 to to IN A34005 1263 27 this this DT A34005 1263 28 Case Case NNP A34005 1263 29 , , , A34005 1263 30 and and CC A34005 1263 31 so so RB A34005 1263 32 no no DT A34005 1263 33 further further JJ A34005 1263 34 direction direction NN A34005 1263 35 is be VBZ A34005 1263 36 needful needful JJ A34005 1263 37 about about IN A34005 1263 38 them -PRON- PRP A34005 1263 39 , , , A34005 1263 40 for for IN A34005 1263 41 the the DT A34005 1263 42 Tangent Tangent NNP A34005 1263 43 sought seek VBN A34005 1263 44 would would MD A34005 1263 45 be be VB A34005 1263 46 the the DT A34005 1263 47 Complement Complement NNP A34005 1263 48 of of IN A34005 1263 49 that that DT A34005 1263 50 there there EX A34005 1263 51 found find VBD A34005 1263 52 , , , A34005 1263 53 namely namely RB A34005 1263 54 84d 84d NNS A34005 1263 55 34′ 34′ CD A34005 1263 56 . . . A34005 1264 1 Hence hence RB A34005 1264 2 it -PRON- PRP A34005 1264 3 may may MD A34005 1264 4 be be VB A34005 1264 5 observed observe VBN A34005 1264 6 , , , A34005 1264 7 that that IN A34005 1264 8 a a DT A34005 1264 9 Table table NN A34005 1264 10 of of IN A34005 1264 11 natural natural JJ A34005 1264 12 Tangents tangent NNS A34005 1264 13 only only RB A34005 1264 14 to to IN A34005 1264 15 45d 45d NNS A34005 1264 16 , , , A34005 1264 17 or or CC A34005 1264 18 a a DT A34005 1264 19 Line line NN A34005 1264 20 of of IN A34005 1264 21 natural natural JJ A34005 1264 22 Tangents tangent NNS A34005 1264 23 only only RB A34005 1264 24 to to IN A34005 1264 25 45d 45d CD A34005 1264 26 may may MD A34005 1264 27 serve serve VB A34005 1264 28 to to TO A34005 1264 29 operate operate VB A34005 1264 30 any any DT A34005 1264 31 Proportion Proportion NNP A34005 1264 32 in in IN A34005 1264 33 Tangents Tangents NNP A34005 1264 34 whatsoever whatsoever RB A34005 1264 35 . . . A34005 1265 1 To to IN A34005 1265 2 Proportion Proportion NNP A34005 1265 3 on on IN A34005 1265 4 out out RP A34005 1265 5 a a DT A34005 1265 6 Tangent tangent NN A34005 1265 7 to to IN A34005 1265 8 any any DT A34005 1265 9 Radius Radius NNP A34005 1265 10 . . . A34005 1266 1 Enter enter VB A34005 1266 2 the the DT A34005 1266 3 length length NN A34005 1266 4 of of IN A34005 1266 5 the the DT A34005 1266 6 Radius Radius NNP A34005 1266 7 proposed propose VBN A34005 1266 8 upon upon IN A34005 1266 9 the the DT A34005 1266 10 Tangent Tangent NNP A34005 1266 11 of of IN A34005 1266 12 45d 45d CD A34005 1266 13 and and CC A34005 1266 14 to to IN A34005 1266 15 the the DT A34005 1266 16 other other JJ A34005 1266 17 foot foot NN A34005 1266 18 of of IN A34005 1266 19 the the DT A34005 1266 20 Compasses Compasses NNPS A34005 1266 21 lay lie VBD A34005 1266 22 the the DT A34005 1266 23 Thread thread NN A34005 1266 24 according accord VBG A34005 1266 25 to to IN A34005 1266 26 the the DT A34005 1266 27 nearest near JJS A34005 1266 28 distance distance NN A34005 1266 29 , , , A34005 1266 30 then then RB A34005 1266 31 if if IN A34005 1266 32 the the DT A34005 1266 33 respective respective JJ A34005 1266 34 nearest near JJS A34005 1266 35 distances distance NNS A34005 1266 36 from from IN A34005 1266 37 each each DT A34005 1266 38 degree degree NN A34005 1266 39 of of IN A34005 1266 40 the the DT A34005 1266 41 Tangents tangent NNS A34005 1266 42 to to IN A34005 1266 43 the the DT A34005 1266 44 Thread thread NN A34005 1266 45 be be VB A34005 1266 46 taken take VBN A34005 1266 47 out out RP A34005 1266 48 they -PRON- PRP A34005 1266 49 shal shal RB A34005 1266 50 be be VBP A34005 1266 51 Tangents tangent NNS A34005 1266 52 to to IN A34005 1266 53 the the DT A34005 1266 54 assigned assign VBN A34005 1266 55 Radius Radius NNP A34005 1266 56 : : : A34005 1266 57 Because because IN A34005 1266 58 the the DT A34005 1266 59 Tangents tangent NNS A34005 1266 60 run run VBP A34005 1266 61 but but CC A34005 1266 62 to to IN A34005 1266 63 63d 63d NNS A34005 1266 64 26′ 26′ CD A34005 1266 65 whereas whereas IN A34005 1266 66 there there EX A34005 1266 67 may may MD A34005 1266 68 be be VB A34005 1266 69 occasion occasion NN A34005 1266 70 in in IN A34005 1266 71 some some DT A34005 1266 72 declining decline VBG A34005 1266 73 Dyalls dyall NNS A34005 1266 74 to to TO A34005 1266 75 use use VB A34005 1266 76 them -PRON- PRP A34005 1266 77 to to IN A34005 1266 78 75d 75d NNS A34005 1266 79 though though IN A34005 1266 80 seldom seldom RB A34005 1266 81 further further RB A34005 1266 82 ; ; : A34005 1266 83 to to TO A34005 1266 84 supply supply VB A34005 1266 85 this this DT A34005 1266 86 defect defect NN A34005 1266 87 , , , A34005 1266 88 they -PRON- PRP A34005 1266 89 may may MD A34005 1266 90 be be VB A34005 1266 91 supposed suppose VBN A34005 1266 92 to to TO A34005 1266 93 break break VB A34005 1266 94 off off RP A34005 1266 95 at at IN A34005 1266 96 60 60 CD A34005 1266 97 and and CC A34005 1266 98 be be VB A34005 1266 99 supplied supply VBN A34005 1266 100 in in IN A34005 1266 101 a a DT A34005 1266 102 Line line NN A34005 1266 103 by by IN A34005 1266 104 themselves -PRON- PRP A34005 1266 105 not not RB A34005 1266 106 issuing issue VBG A34005 1266 107 from from IN A34005 1266 108 the the DT A34005 1266 109 Center Center NNP A34005 1266 110 , , , A34005 1266 111 or or CC A34005 1266 112 only only RB A34005 1266 113 pricks prick NNS A34005 1266 114 or or CC A34005 1266 115 full full JJ A34005 1266 116 - - HYPH A34005 1266 117 points point NNS A34005 1266 118 made make VBN A34005 1266 119 at at IN A34005 1266 120 each each DT A34005 1266 121 quarter quarter NN A34005 1266 122 of of IN A34005 1266 123 an an DT A34005 1266 124 hour hour NN A34005 1266 125 , , , A34005 1266 126 for for IN A34005 1266 127 the the DT A34005 1266 128 5th 5th JJ A34005 1266 129 hour hour NN A34005 1266 130 , , , A34005 1266 131 that that RB A34005 1266 132 is is RB A34005 1266 133 , , , A34005 1266 134 from from IN A34005 1266 135 60d 60d NNS A34005 1266 136 to to IN A34005 1266 137 75d 75d NNS A34005 1266 138 , , , A34005 1266 139 and and CC A34005 1266 140 so so RB A34005 1266 141 these these DT A34005 1266 142 distances distance NNS A34005 1266 143 prickt prickt NNS A34005 1266 144 again again RB A34005 1266 145 from from IN A34005 1266 146 the the DT A34005 1266 147 Center Center NNP A34005 1266 148 as as IN A34005 1266 149 here here RB A34005 1266 150 is be VBZ A34005 1266 151 done do VBN A34005 1266 152 , , , A34005 1266 153 either either CC A34005 1266 154 one one CD A34005 1266 155 way way NN A34005 1266 156 or or CC A34005 1266 157 other other JJ A34005 1266 158 , , , A34005 1266 159 the the DT A34005 1266 160 Proportion Proportion NNP A34005 1266 161 will will MD A34005 1266 162 hold hold VB A34005 1266 163 , , , A34005 1266 164 As as IN A34005 1266 165 the the DT A34005 1266 166 common common JJ A34005 1266 167 Radius Radius NNP A34005 1266 168 of of IN A34005 1266 169 the the DT A34005 1266 170 Tangents Tangents NNP A34005 1266 171 , , , A34005 1266 172 Is be VBZ A34005 1266 173 to to IN A34005 1266 174 any any DT A34005 1266 175 other other JJ A34005 1266 176 Assigned Assigned NNP A34005 1266 177 Radius Radius NNP A34005 1266 178 : : : A34005 1266 179 So so RB A34005 1266 180 is be VBZ A34005 1266 181 the the DT A34005 1266 182 difference difference NN A34005 1266 183 of of IN A34005 1266 184 any any DT A34005 1266 185 two two CD A34005 1266 186 Tangents tangent NNS A34005 1266 187 to to IN A34005 1266 188 the the DT A34005 1266 189 common common JJ A34005 1266 190 Radius radius NN A34005 1266 191 . . . A34005 1267 1 To to IN A34005 1267 2 their -PRON- PRP$ A34005 1267 3 Proportional proportional JJ A34005 1267 4 difference difference NN A34005 1267 5 in in IN A34005 1267 6 that that DT A34005 1267 7 Assigned Assigned NNP A34005 1267 8 Radius Radius NNP A34005 1267 9 , , , A34005 1267 10 And and CC A34005 1267 11 so so RB A34005 1267 12 having have VBG A34005 1267 13 Proportioned proportion VBN A34005 1267 14 out out RP A34005 1267 15 the the DT A34005 1267 16 first first JJ A34005 1267 17 four four CD A34005 1267 18 hours hour NNS A34005 1267 19 , , , A34005 1267 20 the the DT A34005 1267 21 5th 5th JJ A34005 1267 22 hour hour NN A34005 1267 23 may may MD A34005 1267 24 be be VB A34005 1267 25 likewise likewise RB A34005 1267 26 Proportioned proportion VBN A34005 1267 27 out out RP A34005 1267 28 and and CC A34005 1267 29 pricked prick VBD A34005 1267 30 forward forward RB A34005 1267 31 in in IN A34005 1267 32 one one CD A34005 1267 33 continued continue VBN A34005 1267 34 streight streight JJ A34005 1267 35 Line Line NNP A34005 1267 36 from from IN A34005 1267 37 the the DT A34005 1267 38 end end NN A34005 1267 39 of of IN A34005 1267 40 the the DT A34005 1267 41 4th 4th JJ A34005 1267 42 hour hour NN A34005 1267 43 . . . A34005 1268 1 To to TO A34005 1268 2 work work VB A34005 1268 3 Proportions Proportions NNP A34005 1268 4 in in IN A34005 1268 5 Sines Sines NNPS A34005 1268 6 and and CC A34005 1268 7 Tangents Tangents NNP A34005 1268 8 by by IN A34005 1268 9 help help NN A34005 1268 10 of of IN A34005 1268 11 the the DT A34005 1268 12 Limb Limb NNP A34005 1268 13 and and CC A34005 1268 14 Line Line NNP A34005 1268 15 of of IN A34005 1268 16 Tangents Tangents NNPS A34005 1268 17 issuing issue VBG A34005 1268 18 from from IN A34005 1268 19 the the DT A34005 1268 20 Center Center NNP A34005 1268 21 . . . A34005 1269 1 THough though IN A34005 1269 2 this this DT A34005 1269 3 work work NN A34005 1269 4 may may MD A34005 1269 5 be be VB A34005 1269 6 better well RBR A34005 1269 7 done do VBN A34005 1269 8 on on IN A34005 1269 9 the the DT A34005 1269 10 backside backside NN A34005 1269 11 where where WRB A34005 1269 12 the the DT A34005 1269 13 Tangents Tangents NNP A34005 1269 14 lye lye VBP A34005 1269 15 in in IN A34005 1269 16 the the DT A34005 1269 17 Limb Limb NNP A34005 1269 18 , , , A34005 1269 19 and and CC A34005 1269 20 the the DT A34005 1269 21 Sines Sines NNP A34005 1269 22 issue issue NN A34005 1269 23 from from IN A34005 1269 24 the the DT A34005 1269 25 Center Center NNP A34005 1269 26 , , , A34005 1269 27 and and CC A34005 1269 28 where where WRB A34005 1269 29 also also RB A34005 1269 30 there there EX A34005 1269 31 is be VBZ A34005 1269 32 a a DT A34005 1269 33 Secant Secant NNP A34005 1269 34 meet meet NN A34005 1269 35 for for IN A34005 1269 36 the the DT A34005 1269 37 varying varying NN A34005 1269 38 of of IN A34005 1269 39 some some DT A34005 1269 40 Proportions Proportions NNPS A34005 1269 41 that that WDT A34005 1269 42 may may MD A34005 1269 43 excur excur VB A34005 1269 44 , , , A34005 1269 45 yet yet CC A34005 1269 46 they -PRON- PRP A34005 1269 47 may may MD A34005 1269 48 be be VB A34005 1269 49 also also RB A34005 1269 50 performed perform VBN A34005 1269 51 here here RB A34005 1269 52 supposing suppose VBG A34005 1269 53 the the DT A34005 1269 54 Radius Radius NNP A34005 1269 55 introduced introduce VBN A34005 1269 56 into into IN A34005 1269 57 any any DT A34005 1269 58 Proportion proportion NN A34005 1269 59 wherein wherein WRB A34005 1269 60 it -PRON- PRP A34005 1269 61 is be VBZ A34005 1269 62 not not RB A34005 1269 63 ingredient ingredient JJ A34005 1269 64 , , , A34005 1269 65 the the DT A34005 1269 66 two two CD A34005 1269 67 middle middle JJ A34005 1269 68 Tearms Tearms NNPS A34005 1269 69 not not RB A34005 1269 70 being be VBG A34005 1269 71 of of IN A34005 1269 72 the the DT A34005 1269 73 same same JJ A34005 1269 74 kind kind NN A34005 1269 75 as as IN A34005 1269 76 both both DT A34005 1269 77 Tangents Tangents NNP A34005 1269 78 or or CC A34005 1269 79 both both DT A34005 1269 80 Sines sine NNS A34005 1269 81 . . . A34005 1270 1 To to TO A34005 1270 2 find find VB A34005 1270 3 the the DT A34005 1270 4 4th 4th JJ A34005 1270 5 Proportional Proportional NNP A34005 1270 6 if if IN A34005 1270 7 it -PRON- PRP A34005 1270 8 be be VB A34005 1270 9 a a DT A34005 1270 10 Sine Sine NNP A34005 1270 11 . . . A34005 1271 1 Lay lay VB A34005 1271 2 the the DT A34005 1271 3 Thread thread NN A34005 1271 4 to to IN A34005 1271 5 the the DT A34005 1271 6 Sine Sine NNP A34005 1271 7 in in IN A34005 1271 8 the the DT A34005 1271 9 Limb Limb NNP A34005 1271 10 being be VBG A34005 1271 11 one one CD A34005 1271 12 of of IN A34005 1271 13 the the DT A34005 1271 14 middle middle JJ A34005 1271 15 Tearms Tearms NNP A34005 1271 16 , , , A34005 1271 17 and and CC A34005 1271 18 from from IN A34005 1271 19 the the DT A34005 1271 20 Tangent Tangent NNP A34005 1271 21 being be VBG A34005 1271 22 the the DT A34005 1271 23 other other JJ A34005 1271 24 middle middle JJ A34005 1271 25 Tearm Tearm NNP A34005 1271 26 take take VBP A34005 1271 27 the the DT A34005 1271 28 nearest near JJS A34005 1271 29 distance distance NN A34005 1271 30 to to IN A34005 1271 31 it -PRON- PRP A34005 1271 32 , , , A34005 1271 33 then then RB A34005 1271 34 entring entre VBG A34005 1271 35 this this DT A34005 1271 36 extent extent NN A34005 1271 37 upon upon IN A34005 1271 38 the the DT A34005 1271 39 first first JJ A34005 1271 40 Tearm Tearm NNP A34005 1271 41 being be VBG A34005 1271 42 a a DT A34005 1271 43 Tangent tangent NN A34005 1271 44 lay lie VBD A34005 1271 45 the the DT A34005 1271 46 Thread thread NN A34005 1271 47 to to IN A34005 1271 48 the the DT A34005 1271 49 other other JJ A34005 1271 50 foot foot NN A34005 1271 51 , , , A34005 1271 52 and and CC A34005 1271 53 in in IN A34005 1271 54 the the DT A34005 1271 55 equal equal JJ A34005 1271 56 Limb Limb NNP A34005 1271 57 it -PRON- PRP A34005 1271 58 shews shew VBZ A34005 1271 59 the the DT A34005 1271 60 Sine Sine NNP A34005 1271 61 sought seek VBD A34005 1271 62 . . . A34005 1272 1 So so CC A34005 1272 2 if if IN A34005 1272 3 the the DT A34005 1272 4 Example example NN A34005 1272 5 were be VBD A34005 1272 6 , , , A34005 1272 7 As as IN A34005 1272 8 the the DT A34005 1272 9 Tangent Tangent NNP A34005 1272 10 of of IN A34005 1272 11 50d 50d NNS A34005 1272 12 , , , A34005 1272 13 To to IN A34005 1272 14 the the DT A34005 1272 15 Sine Sine NNP A34005 1272 16 of of IN A34005 1272 17 40d 40d NNS A34005 1272 18 : : : A34005 1272 19 So so RB A34005 1272 20 is be VBZ A34005 1272 21 the the DT A34005 1272 22 Tangent Tangent NNP A34005 1272 23 of of IN A34005 1272 24 36d 36d NNS A34005 1272 25 , , , A34005 1272 26 To to IN A34005 1272 27 a a DT A34005 1272 28 Sine Sine NNP A34005 1272 29 , , , A34005 1272 30 the the DT A34005 1272 31 4th 4th JJ A34005 1272 32 Proportion Proportion NNP A34005 1272 33 would would MD A34005 1272 34 be be VB A34005 1272 35 found find VBN A34005 1272 36 to to TO A34005 1272 37 be be VB A34005 1272 38 the the DT A34005 1272 39 Sine Sine NNP A34005 1272 40 of of IN A34005 1272 41 23d 23d NNS A34005 1272 42 , , , A34005 1272 43 4′ 4′ CD A34005 1272 44 . . . A34005 1273 1 If if IN A34005 1273 2 a a DT A34005 1273 3 Tangent tangent NN A34005 1273 4 be be VB A34005 1273 5 sought seek VBN A34005 1273 6 . . . A34005 1274 1 Lay lay VB A34005 1274 2 the the DT A34005 1274 3 Thread thread NN A34005 1274 4 to to IN A34005 1274 5 the the DT A34005 1274 6 Sine Sine NNP A34005 1274 7 in in IN A34005 1274 8 the the DT A34005 1274 9 Limb Limb NNP A34005 1274 10 being be VBG A34005 1274 11 one one CD A34005 1274 12 of of IN A34005 1274 13 the the DT A34005 1274 14 middle middle JJ A34005 1274 15 Tearms Tearms NNP A34005 1274 16 , , , A34005 1274 17 and and CC A34005 1274 18 from from IN A34005 1274 19 the the DT A34005 1274 20 Tangent Tangent NNP A34005 1274 21 being be VBG A34005 1274 22 the the DT A34005 1274 23 other other JJ A34005 1274 24 middle middle JJ A34005 1274 25 Tearm Tearm NNP A34005 1274 26 , , , A34005 1274 27 take take VB A34005 1274 28 the the DT A34005 1274 29 nearest near JJS A34005 1274 30 distance distance NN A34005 1274 31 to to IN A34005 1274 32 it -PRON- PRP A34005 1274 33 , , , A34005 1274 34 then then RB A34005 1274 35 lay lay VB A34005 1274 36 the the DT A34005 1274 37 Thread thread NN A34005 1274 38 to to IN A34005 1274 39 the the DT A34005 1274 40 first first JJ A34005 1274 41 Tearm Tearm NNP A34005 1274 42 in in IN A34005 1274 43 the the DT A34005 1274 44 Limb Limb NNP A34005 1274 45 , , , A34005 1274 46 and and CC A34005 1274 47 the the DT A34005 1274 48 former former JJ A34005 1274 49 extent extent NN A34005 1274 50 entred entre VBN A34005 1274 51 between between IN A34005 1274 52 the the DT A34005 1274 53 Scale Scale NNP A34005 1274 54 and and CC A34005 1274 55 the the DT A34005 1274 56 Thread thread NN A34005 1274 57 finds find VBZ A34005 1274 58 the the DT A34005 1274 59 Tangent tangent NN A34005 1274 60 , , , A34005 1274 61 being be VBG A34005 1274 62 the the DT A34005 1274 63 4th 4th JJ A34005 1274 64 Proportional Proportional NNP A34005 1274 65 sought seek VBD A34005 1274 66 . . . A34005 1275 1 If if IN A34005 1275 2 the the DT A34005 1275 3 Example Example NNP A34005 1275 4 were be VBD A34005 1275 5 , , , A34005 1275 6 As as IN A34005 1275 7 the the DT A34005 1275 8 Sine Sine NNP A34005 1275 9 of of IN A34005 1275 10 40d 40d NNS A34005 1275 11 , , , A34005 1275 12 To to IN A34005 1275 13 the the DT A34005 1275 14 Tangent Tangent NNP A34005 1275 15 of of IN A34005 1275 16 50d 50d NNS A34005 1275 17 : : : A34005 1275 18 So so RB A34005 1275 19 is be VBZ A34005 1275 20 the the DT A34005 1275 21 Sine Sine NNP A34005 1275 22 of of IN A34005 1275 23 23d 23d CD A34005 1275 24 4′ 4′ CD A34005 1275 25 To to IN A34005 1275 26 a a DT A34005 1275 27 fourth fourth JJ A34005 1275 28 a a DT A34005 1275 29 Tangent Tangent NNP A34005 1275 30 , , , A34005 1275 31 it -PRON- PRP A34005 1275 32 would would MD A34005 1275 33 be be VB A34005 1275 34 found find VBN A34005 1275 35 to to TO A34005 1275 36 be be VB A34005 1275 37 the the DT A34005 1275 38 Tangent Tangent NNP A34005 1275 39 of of IN A34005 1275 40 36 36 CD A34005 1275 41 . . . A34005 1276 1 These these DT A34005 1276 2 Directions Directions NNPS A34005 1276 3 presuppose presuppose VBP A34005 1276 4 the the DT A34005 1276 5 varying varying NN A34005 1276 6 of of IN A34005 1276 7 the the DT A34005 1276 8 Proportion Proportion NNP A34005 1276 9 , , , A34005 1276 10 as as IN A34005 1276 11 to to IN A34005 1276 12 the the DT A34005 1276 13 two two CD A34005 1276 14 Tangents Tangents NNPS A34005 1276 15 , , , A34005 1276 16 when when WRB A34005 1276 17 either either DT A34005 1276 18 of of IN A34005 1276 19 them -PRON- PRP A34005 1276 20 will will MD A34005 1276 21 excur excur VB A34005 1276 22 the the DT A34005 1276 23 length length NN A34005 1276 24 of of IN A34005 1276 25 the the DT A34005 1276 26 Scale Scale NNP A34005 1276 27 , , , A34005 1276 28 of of IN A34005 1276 29 which which WDT A34005 1276 30 more more JJR A34005 1276 31 when when WRB A34005 1276 32 I -PRON- PRP A34005 1276 33 come come VBP A34005 1276 34 to to TO A34005 1276 35 treat treat VB A34005 1276 36 of of IN A34005 1276 37 the the DT A34005 1276 38 joint joint JJ A34005 1276 39 use use NN A34005 1276 40 of of IN A34005 1276 41 the the DT A34005 1276 42 Sines Sines NNPS A34005 1276 43 and and CC A34005 1276 44 Tangents Tangents NNP A34005 1276 45 on on IN A34005 1276 46 the the DT A34005 1276 47 backside backside NN A34005 1276 48 . . . A34005 1277 1 If if IN A34005 1277 2 both both CC A34005 1277 3 the the DT A34005 1277 4 middle middle JJ A34005 1277 5 Tearms Tearms NNPS A34005 1277 6 be be VB A34005 1277 7 Sines Sines NNP A34005 1277 8 , , , A34005 1277 9 the the DT A34005 1277 10 1st 1st JJ A34005 1277 11 Operation Operation NNP A34005 1277 12 will will MD A34005 1277 13 be be VB A34005 1277 14 wholly wholly RB A34005 1277 15 on on IN A34005 1277 16 the the DT A34005 1277 17 Line Line NNP A34005 1277 18 of of IN A34005 1277 19 Sines Sines NNPS A34005 1277 20 on on IN A34005 1277 21 the the DT A34005 1277 22 backside backside NN A34005 1277 23 , , , A34005 1277 24 by by IN A34005 1277 25 introducing introduce VBG A34005 1277 26 the the DT A34005 1277 27 Radius Radius NNP A34005 1277 28 , , , A34005 1277 29 and and CC A34005 1277 30 the the DT A34005 1277 31 second second JJ A34005 1277 32 upon upon IN A34005 1277 33 the the DT A34005 1277 34 Line Line NNP A34005 1277 35 of of IN A34005 1277 36 Tangents Tangents NNPS A34005 1277 37 on on IN A34005 1277 38 the the DT A34005 1277 39 foreside foreside NN A34005 1277 40 , , , A34005 1277 41 likewise likewise RB A34005 1277 42 , , , A34005 1277 43 if if IN A34005 1277 44 both both CC A34005 1277 45 the the DT A34005 1277 46 middle middle JJ A34005 1277 47 Tearms Tearms NNPS A34005 1277 48 were be VBD A34005 1277 49 Tangents Tangents NNP A34005 1277 50 , , , A34005 1277 51 the the DT A34005 1277 52 first first JJ A34005 1277 53 Operation operation NN A34005 1277 54 would would MD A34005 1277 55 be be VB A34005 1277 56 on on IN A34005 1277 57 the the DT A34005 1277 58 Line Line NNP A34005 1277 59 of of IN A34005 1277 60 Tangents Tangents NNPS A34005 1277 61 on on IN A34005 1277 62 the the DT A34005 1277 63 foreside foreside NN A34005 1277 64 , , , A34005 1277 65 and and CC A34005 1277 66 the the DT A34005 1277 67 second second JJ A34005 1277 68 on on IN A34005 1277 69 the the DT A34005 1277 70 Line Line NNP A34005 1277 71 of of IN A34005 1277 72 Sines Sines NNPS A34005 1277 73 on on IN A34005 1277 74 the the DT A34005 1277 75 backside backside NN A34005 1277 76 ; ; : A34005 1277 77 but but CC A34005 1277 78 this this DT A34005 1277 79 is be VBZ A34005 1277 80 likewise likewise RB A34005 1277 81 pretermitted pretermit VBN A34005 1277 82 for for IN A34005 1277 83 the the DT A34005 1277 84 present present NN A34005 1277 85 , , , A34005 1277 86 for for IN A34005 1277 87 such such JJ A34005 1277 88 Cases case NNS A34005 1277 89 will will MD A34005 1277 90 seldom seldom RB A34005 1277 91 be be VB A34005 1277 92 reducible reducible JJ A34005 1277 93 to to TO A34005 1277 94 practise practise VB A34005 1277 95 . . . A34005 1278 1 To to TO A34005 1278 2 work work VB A34005 1278 3 Proportions proportion NNS A34005 1278 4 in in IN A34005 1278 5 equal equal JJ A34005 1278 6 Parts Parts NNPS A34005 1278 7 and and CC A34005 1278 8 Tangents Tangents NNPS A34005 1278 9 . . . A34005 1279 1 Because because IN A34005 1279 2 the the DT A34005 1279 3 Lines line NNS A34005 1279 4 to to TO A34005 1279 5 perform perform VB A34005 1279 6 this this DT A34005 1279 7 work work NN A34005 1279 8 do do VBP A34005 1279 9 both both DT A34005 1279 10 issue issue NN A34005 1279 11 from from IN A34005 1279 12 the the DT A34005 1279 13 Center Center NNP A34005 1279 14 , , , A34005 1279 15 the the DT A34005 1279 16 Radius Radius NNP A34005 1279 17 need nee MD A34005 1279 18 not not RB A34005 1279 19 be be VB A34005 1279 20 introduced introduce VBN A34005 1279 21 in in IN A34005 1279 22 this this DT A34005 1279 23 Case case NN A34005 1279 24 ; ; : A34005 1279 25 but but CC A34005 1279 26 here here RB A34005 1279 27 it -PRON- PRP A34005 1279 28 must must MD A34005 1279 29 be be VB A34005 1279 30 known know VBN A34005 1279 31 whether whether IN A34005 1279 32 the the DT A34005 1279 33 first first JJ A34005 1279 34 or or CC A34005 1279 35 second second JJ A34005 1279 36 Tearm Tearm NNP A34005 1279 37 of of IN A34005 1279 38 the the DT A34005 1279 39 Proportion Proportion NNP A34005 1279 40 taken take VBN A34005 1279 41 out out IN A34005 1279 42 of of IN A34005 1279 43 its -PRON- PRP$ A34005 1279 44 proper proper JJ A34005 1279 45 Scale scale NN A34005 1279 46 be be VB A34005 1279 47 the the DT A34005 1279 48 longer long JJR A34005 1279 49 of of IN A34005 1279 50 the the DT A34005 1279 51 two two CD A34005 1279 52 , , , A34005 1279 53 and and CC A34005 1279 54 accordingly accordingly RB A34005 1279 55 the the DT A34005 1279 56 work work NN A34005 1279 57 to to TO A34005 1279 58 be be VB A34005 1279 59 performed perform VBN A34005 1279 60 on on IN A34005 1279 61 the the DT A34005 1279 62 Scale scale NN A34005 1279 63 of of IN A34005 1279 64 the the DT A34005 1279 65 longer long JJR A34005 1279 66 Tearm Tearm NNP A34005 1279 67 , , , A34005 1279 68 which which WDT A34005 1279 69 shall shall MD A34005 1279 70 be be VB A34005 1279 71 illustrated illustrate VBN A34005 1279 72 only only RB A34005 1279 73 by by IN A34005 1279 74 a a DT A34005 1279 75 few few JJ A34005 1279 76 Examples Examples NNPS A34005 1279 77 , , , A34005 1279 78 the the DT A34005 1279 79 ground ground NN A34005 1279 80 of of IN A34005 1279 81 what what WP A34005 1279 82 can can MD A34005 1279 83 be be VB A34005 1279 84 said say VBN A34005 1279 85 being be VBG A34005 1279 86 already already RB A34005 1279 87 laid lay VBN A34005 1279 88 down down RP A34005 1279 89 . . . A34005 1280 1 Example example NN A34005 1280 2 . . . A34005 1281 1 To to TO A34005 1281 2 find find VB A34005 1281 3 the the DT A34005 1281 4 Suns Suns NNPS A34005 1281 5 Altitude Altitude NNP A34005 1281 6 , , , A34005 1281 7 the the DT A34005 1281 8 length length NN A34005 1281 9 of of IN A34005 1281 10 the the DT A34005 1281 11 Gnomon Gnomon NNP A34005 1281 12 or or CC A34005 1281 13 Perpendicular Perpendicular NNP A34005 1281 14 being be VBG A34005 1281 15 assigned assign VBN A34005 1281 16 , , , A34005 1281 17 and and CC A34005 1281 18 the the DT A34005 1281 19 length length NN A34005 1281 20 of of IN A34005 1281 21 its -PRON- PRP$ A34005 1281 22 Shadow Shadow NNP A34005 1281 23 measured measure VBN A34005 1281 24 . . . A34005 1282 1 As as IN A34005 1282 2 the the DT A34005 1282 3 length length NN A34005 1282 4 of of IN A34005 1282 5 the the DT A34005 1282 6 Shadow Shadow NNP A34005 1282 7 . . . A34005 1283 1 Is be VBZ A34005 1283 2 to to IN A34005 1283 3 the the DT A34005 1283 4 Radius radius NN A34005 1283 5 : : : A34005 1283 6 So so RB A34005 1283 7 is be VBZ A34005 1283 8 the the DT A34005 1283 9 length length NN A34005 1283 10 of of IN A34005 1283 11 the the DT A34005 1283 12 Gnomon Gnomon NNP A34005 1283 13 , , , A34005 1283 14 To to IN A34005 1283 15 the the DT A34005 1283 16 Tangent tangent NN A34005 1283 17 of of IN A34005 1283 18 the the DT A34005 1283 19 Suns Suns NNPS A34005 1283 20 Altitude Altitude NNP A34005 1283 21 . . . A34005 1284 1 Example example NN A34005 1284 2 . . . A34005 1285 1 If if IN A34005 1285 2 the the DT A34005 1285 3 length length NN A34005 1285 4 of of IN A34005 1285 5 the the DT A34005 1285 6 Shaddow Shaddow NNP A34005 1285 7 were be VBD A34005 1285 8 8 8 CD A34005 1285 9 foot foot NN A34005 1285 10 , , , A34005 1285 11 and and CC A34005 1285 12 the the DT A34005 1285 13 length length NN A34005 1285 14 of of IN A34005 1285 15 the the DT A34005 1285 16 Gnomon Gnomon NNP A34005 1285 17 but but CC A34005 1285 18 5 5 CD A34005 1285 19 foot foot NN A34005 1285 20 , , , A34005 1285 21 because because IN A34005 1285 22 8 8 CD A34005 1285 23 of of IN A34005 1285 24 the the DT A34005 1285 25 greater great JJR A34005 1285 26 divisions division NNS A34005 1285 27 of of IN A34005 1285 28 the the DT A34005 1285 29 equal equal JJ A34005 1285 30 parts part NNS A34005 1285 31 are be VBP A34005 1285 32 longer long JJR A34005 1285 33 then then RB A34005 1285 34 the the DT A34005 1285 35 Tangent Tangent NNP A34005 1285 36 of of IN A34005 1285 37 45d 45d CD A34005 1285 38 take take VB A34005 1285 39 the the DT A34005 1285 40 said say VBN A34005 1285 41 Tangent Tangent NNP A34005 1285 42 or or CC A34005 1285 43 Radius Radius NNP A34005 1285 44 , , , A34005 1285 45 and and CC A34005 1285 46 enter enter VB A34005 1285 47 it -PRON- PRP A34005 1285 48 at at IN A34005 1285 49 8 8 CD A34005 1285 50 , , , A34005 1285 51 laying lay VBG A34005 1285 52 the the DT A34005 1285 53 Thread thread NN A34005 1285 54 to to IN A34005 1285 55 the the DT A34005 1285 56 other other JJ A34005 1285 57 foot foot NN A34005 1285 58 , , , A34005 1285 59 then then RB A34005 1285 60 the the DT A34005 1285 61 nearest near JJS A34005 1285 62 distance distance NN A34005 1285 63 from from IN A34005 1285 64 5 5 CD A34005 1285 65 of of IN A34005 1285 66 the the DT A34005 1285 67 equal equal JJ A34005 1285 68 parts part NNS A34005 1285 69 to to IN A34005 1285 70 the the DT A34005 1285 71 Thread thread NN A34005 1285 72 measured measure VBN A34005 1285 73 on on IN A34005 1285 74 the the DT A34005 1285 75 Tangents Tangents NNP A34005 1285 76 sheweth sheweth NN A34005 1285 77 32d 32d NNS A34005 1285 78 for for IN A34005 1285 79 the the DT A34005 1285 80 Suns Suns NNPS A34005 1285 81 Altitude Altitude NNP A34005 1285 82 sought seek VBD A34005 1285 83 . . . A34005 1286 1 So so RB A34005 1286 2 the the DT A34005 1286 3 distance distance NN A34005 1286 4 from from IN A34005 1286 5 a a DT A34005 1286 6 Tower Tower NNP A34005 1286 7 and and CC A34005 1286 8 its -PRON- PRP$ A34005 1286 9 Altitude altitude NN A34005 1286 10 being be VBG A34005 1286 11 observed observe VBN A34005 1286 12 the the DT A34005 1286 13 Proportion Proportion NNP A34005 1286 14 , , , A34005 1286 15 to to TO A34005 1286 16 get get VB A34005 1286 17 the the DT A34005 1286 18 height height NN A34005 1286 19 of of IN A34005 1286 20 the the DT A34005 1286 21 Tower Tower NNP A34005 1286 22 is be VBZ A34005 1286 23 , , , A34005 1286 24 As as IN A34005 1286 25 the the DT A34005 1286 26 Radius Radius NNP A34005 1286 27 , , , A34005 1286 28 To to IN A34005 1286 29 the the DT A34005 1286 30 measured measure VBN A34005 1286 31 distance distance NN A34005 1286 32 : : : A34005 1286 33 So so CC A34005 1286 34 the the DT A34005 1286 35 Tangent tangent NN A34005 1286 36 of of IN A34005 1286 37 the the DT A34005 1286 38 Altitude altitude NN A34005 1286 39 . . . A34005 1287 1 To to IN A34005 1287 2 the the DT A34005 1287 3 height height NN A34005 1287 4 of of IN A34005 1287 5 the the DT A34005 1287 6 Tower Tower NNP A34005 1287 7 . . . A34005 1288 1 So so RB A34005 1288 2 in in IN A34005 1288 3 the the DT A34005 1288 4 Example Example NNP A34005 1288 5 in in IN A34005 1288 6 Page Page NNP A34005 1288 7 38 38 CD A34005 1288 8 , , , A34005 1288 9 the the DT A34005 1288 10 measured measured JJ A34005 1288 11 distance distance NN A34005 1288 12 K K NNP A34005 1288 13 B B NNP A34005 1288 14 was be VBD A34005 1288 15 100 100 CD A34005 1288 16 yards yard NNS A34005 1288 17 , , , A34005 1288 18 and and CC A34005 1288 19 the the DT A34005 1288 20 Altitude Altitude NNP A34005 1288 21 43d 43d CD A34005 1288 22 50′ 50′ CD A34005 1288 23 to to TO A34005 1288 24 find find VB A34005 1288 25 the the DT A34005 1288 26 height height NN A34005 1288 27 of of IN A34005 1288 28 the the DT A34005 1288 29 Tower Tower NNP A34005 1288 30 take take VBP A34005 1288 31 the the DT A34005 1288 32 Tangent Tangent NNP A34005 1288 33 of of IN A34005 1288 34 45 45 CD A34005 1288 35 d d NNS A34005 1288 36 , , , A34005 1288 37 and and CC A34005 1288 38 enter enter VB A34005 1288 39 it -PRON- PRP A34005 1288 40 on on IN A34005 1288 41 10 10 CD A34005 1288 42 at at IN A34005 1288 43 the the DT A34005 1288 44 end end NN A34005 1288 45 of of IN A34005 1288 46 the the DT A34005 1288 47 equal equal JJ A34005 1288 48 Scale Scale NNP A34005 1288 49 , , , A34005 1288 50 laying lay VBG A34005 1288 51 the the DT A34005 1288 52 Thread thread NN A34005 1288 53 to to IN A34005 1288 54 the the DT A34005 1288 55 other other JJ A34005 1288 56 foot foot NN A34005 1288 57 , , , A34005 1288 58 then then RB A34005 1288 59 take take VB A34005 1288 60 the the DT A34005 1288 61 Tangent Tangent NNP A34005 1288 62 of of IN A34005 1288 63 43 43 CD A34005 1288 64 d d NN A34005 1288 65 50′ 50′ CD A34005 1288 66 , , , A34005 1288 67 and and CC A34005 1288 68 enter enter VB A34005 1288 69 it -PRON- PRP A34005 1288 70 between between IN A34005 1288 71 the the DT A34005 1288 72 Scale Scale NNP A34005 1288 73 and and CC A34005 1288 74 the the DT A34005 1288 75 Thread thread NN A34005 1288 76 , , , A34005 1288 77 and and CC A34005 1288 78 the the DT A34005 1288 79 Compasses Compasses NNPS A34005 1288 80 will will MD A34005 1288 81 rest rest VB A34005 1288 82 at at IN A34005 1288 83 96 96 CD A34005 1288 84 the the DT A34005 1288 85 height height NN A34005 1288 86 of of IN A34005 1288 87 the the DT A34005 1288 88 Tower Tower NNP A34005 1288 89 in in IN A34005 1288 90 yards yard NNS A34005 1288 91 , , , A34005 1288 92 sometimes sometimes RB A34005 1288 93 each each DT A34005 1288 94 grand grand JJ A34005 1288 95 division division NN A34005 1288 96 of of IN A34005 1288 97 the the DT A34005 1288 98 equal equal JJ A34005 1288 99 Scale Scale NNP A34005 1288 100 must must MD A34005 1288 101 represent represent VB A34005 1288 102 but but CC A34005 1288 103 one one CD A34005 1288 104 sometimes sometimes RB A34005 1288 105 10 10 CD A34005 1288 106 , , , A34005 1288 107 and and CC A34005 1288 108 sometimes sometimes RB A34005 1288 109 100 100 CD A34005 1288 110 , , , A34005 1288 111 as as IN A34005 1288 112 in in IN A34005 1288 113 Case Case NNP A34005 1288 114 L L NNP A34005 1288 115 B B NNP A34005 1288 116 , , , A34005 1288 117 and and CC A34005 1288 118 the the DT A34005 1288 119 Altitude altitude NN A34005 1288 120 thereto thereto NN A34005 1288 121 were be VBD A34005 1288 122 given give VBN A34005 1288 123 to to TO A34005 1288 124 find find VB A34005 1288 125 the the DT A34005 1288 126 height height NN A34005 1288 127 assigned assign VBN A34005 1288 128 . . . A34005 1289 1 Another another DT A34005 1289 2 Example example NN A34005 1289 3 . . . A34005 1290 1 As as IN A34005 1290 2 the the DT A34005 1290 3 Tangent Tangent NNP A34005 1290 4 of of IN A34005 1290 5 60d 60d NNPS A34005 1290 6 , , , A34005 1290 7 Is be VBZ A34005 1290 8 to to TO A34005 1290 9 50 50 CD A34005 1290 10 : : : A34005 1290 11 So so RB A34005 1290 12 is be VBZ A34005 1290 13 the the DT A34005 1290 14 Tangent Tangent NNP A34005 1290 15 of of IN A34005 1290 16 40d 40d NNS A34005 1290 17 , , , A34005 1290 18 To to IN A34005 1290 19 24 24 CD A34005 1290 20 ‑ ‑ NN A34005 1290 21 2 2 CD A34005 1290 22 as as IN A34005 1290 23 before before RB A34005 1290 24 . . . A34005 1291 1 Take take VB A34005 1291 2 50 50 CD A34005 1291 3 equal equal JJ A34005 1291 4 parts part NNS A34005 1291 5 , , , A34005 1291 6 and and CC A34005 1291 7 enter enter VB A34005 1291 8 it -PRON- PRP A34005 1291 9 upon upon IN A34005 1291 10 the the DT A34005 1291 11 Tangent Tangent NNP A34005 1291 12 of of IN A34005 1291 13 60 60 CD A34005 1291 14 d d NN A34005 1291 15 laying lay VBG A34005 1291 16 the the DT A34005 1291 17 Thread thread NN A34005 1291 18 to to IN A34005 1291 19 the the DT A34005 1291 20 other other JJ A34005 1291 21 foot foot NN A34005 1291 22 , , , A34005 1291 23 then then RB A34005 1291 24 the the DT A34005 1291 25 nearest near JJS A34005 1291 26 distance distance NN A34005 1291 27 from from IN A34005 1291 28 the the DT A34005 1291 29 Tangent Tangent NNP A34005 1291 30 of of IN A34005 1291 31 40 40 CD A34005 1291 32 d d NN A34005 1291 33 to to IN A34005 1291 34 the the DT A34005 1291 35 Thread thread NN A34005 1291 36 measured measure VBN A34005 1291 37 on on IN A34005 1291 38 the the DT A34005 1291 39 equal equal JJ A34005 1291 40 parts part NNS A34005 1291 41 from from IN A34005 1291 42 the the DT A34005 1291 43 Center Center NNP A34005 1291 44 will will MD A34005 1291 45 be be VB A34005 1291 46 24 24 CD A34005 1291 47 ‑ ‑ NN A34005 1291 48 2 2 CD A34005 1291 49 as as IN A34005 1291 50 before before RB A34005 1291 51 . . . A34005 1292 1 Otherwise otherwise RB A34005 1292 2 . . . A34005 1293 1 Enter enter VB A34005 1293 2 the the DT A34005 1293 3 Tangent Tangent NNP A34005 1293 4 of of IN A34005 1293 5 40 40 CD A34005 1293 6 d d NN A34005 1293 7 upon upon IN A34005 1293 8 the the DT A34005 1293 9 Tangent Tangent NNP A34005 1293 10 of of IN A34005 1293 11 60 60 CD A34005 1293 12 d d NN A34005 1293 13 laying lay VBG A34005 1293 14 the the DT A34005 1293 15 Thread thread NN A34005 1293 16 to to IN A34005 1293 17 the the DT A34005 1293 18 other other JJ A34005 1293 19 foot foot NN A34005 1293 20 , , , A34005 1293 21 then then RB A34005 1293 22 enter enter VB A34005 1293 23 50 50 CD A34005 1293 24 equal equal JJ A34005 1293 25 parts part NNS A34005 1293 26 down down IN A34005 1293 27 the the DT A34005 1293 28 Line Line NNP A34005 1293 29 of of IN A34005 1293 30 Tangents tangent NNS A34005 1293 31 from from IN A34005 1293 32 the the DT A34005 1293 33 Center Center NNP A34005 1293 34 , , , A34005 1293 35 and and CC A34005 1293 36 the the DT A34005 1293 37 nearest near JJS A34005 1293 38 distance distance NN A34005 1293 39 from from IN A34005 1293 40 the the DT A34005 1293 41 termination termination NN A34005 1293 42 to to IN A34005 1293 43 the the DT A34005 1293 44 Thread thread NN A34005 1293 45 measured measure VBN A34005 1293 46 in in IN A34005 1293 47 the the DT A34005 1293 48 equal equal JJ A34005 1293 49 parts part NNS A34005 1293 50 will will MD A34005 1293 51 be be VB A34005 1293 52 24 24 CD A34005 1293 53 ‑ ‑ NN A34005 1293 54 2 2 CD A34005 1293 55 as as IN A34005 1293 56 before before RB A34005 1293 57 . . . A34005 1294 1 If if IN A34005 1294 2 both both DT A34005 1294 3 the the DT A34005 1294 4 Tangents tangent NNS A34005 1294 5 in in IN A34005 1294 6 any any DT A34005 1294 7 Proportion proportion NN A34005 1294 8 be be VB A34005 1294 9 too too RB A34005 1294 10 long long JJ A34005 1294 11 , , , A34005 1294 12 they -PRON- PRP A34005 1294 13 may may MD A34005 1294 14 be be VB A34005 1294 15 changed change VBN A34005 1294 16 into into IN A34005 1294 17 their -PRON- PRP$ A34005 1294 18 Complements Complements NNPS A34005 1294 19 if if IN A34005 1294 20 one one CD A34005 1294 21 of of IN A34005 1294 22 them -PRON- PRP A34005 1294 23 may may MD A34005 1294 24 and and CC A34005 1294 25 the the DT A34005 1294 26 other other JJ A34005 1294 27 may may MD A34005 1294 28 not not RB A34005 1294 29 be be VB A34005 1294 30 so so RB A34005 1294 31 changed change VBN A34005 1294 32 without without IN A34005 1294 33 excursion excursion NN A34005 1294 34 , , , A34005 1294 35 then then RB A34005 1294 36 the the DT A34005 1294 37 Proportion proportion NN A34005 1294 38 may may MD A34005 1294 39 be be VB A34005 1294 40 wrought work VBN A34005 1294 41 by by IN A34005 1294 42 the the DT A34005 1294 43 Pen Pen NNP A34005 1294 44 , , , A34005 1294 45 taking take VBG A34005 1294 46 the the DT A34005 1294 47 Tangents tangent NNS A34005 1294 48 out out IN A34005 1294 49 of of IN A34005 1294 50 the the DT A34005 1294 51 Quadrat Quadrat NNP A34005 1294 52 and and CC A34005 1294 53 Shaddows Shaddows NNP A34005 1294 54 , , , A34005 1294 55 or or CC A34005 1294 56 it -PRON- PRP A34005 1294 57 may may MD A34005 1294 58 be be VB A34005 1294 59 made make VBN A34005 1294 60 two two CD A34005 1294 61 Proportions Proportions NNPS A34005 1294 62 by by IN A34005 1294 63 introducing introduce VBG A34005 1294 64 the the DT A34005 1294 65 Radius Radius NNP A34005 1294 66 as as IN A34005 1294 67 before before IN A34005 1294 68 shewed shewed NN A34005 1294 69 ; ; : A34005 1294 70 it -PRON- PRP A34005 1294 71 will will MD A34005 1294 72 not not RB A34005 1294 73 be be VB A34005 1294 74 needful needful JJ A34005 1294 75 to to TO A34005 1294 76 speak speak VB A34005 1294 77 more more JJR A34005 1294 78 to to IN A34005 1294 79 this this DT A34005 1294 80 , , , A34005 1294 81 only only RB A34005 1294 82 one one CD A34005 1294 83 Example example NN A34005 1294 84 for for IN A34005 1294 85 obtaining obtain VBG A34005 1294 86 the the DT A34005 1294 87 Altitude altitude NN A34005 1294 88 of of IN A34005 1294 89 a a DT A34005 1294 90 Tower Tower NNP A34005 1294 91 at at IN A34005 1294 92 two two CD A34005 1294 93 Stations station NNS A34005 1294 94 . . . A34005 1295 1 As as IN A34005 1295 2 the the DT A34005 1295 3 difference difference NN A34005 1295 4 of of IN A34005 1295 5 the the DT A34005 1295 6 Cotangents Cotangents NNPS A34005 1295 7 of of IN A34005 1295 8 the the DT A34005 1295 9 Arks Arks NNP A34005 1295 10 cut cut VBD A34005 1295 11 at at IN A34005 1295 12 either either DT A34005 1295 13 Stations station NNS A34005 1295 14 : : : A34005 1295 15 Is be VBZ A34005 1295 16 to to IN A34005 1295 17 Radius radius NN A34005 1295 18 : : : A34005 1295 19 So so CC A34005 1295 20 the the DT A34005 1295 21 distance distance NN A34005 1295 22 between between IN A34005 1295 23 those those DT A34005 1295 24 Stations station NNS A34005 1295 25 : : : A34005 1295 26 To to IN A34005 1295 27 the the DT A34005 1295 28 Altitude altitude NN A34005 1295 29 of of IN A34005 1295 30 the the DT A34005 1295 31 Tower Tower NNP A34005 1295 32 . . . A34005 1296 1 In in IN A34005 1296 2 the the DT A34005 1296 3 Diagram Diagram NNP A34005 1296 4 for for IN A34005 1296 5 this this DT A34005 1296 6 Case case NN A34005 1296 7 the the DT A34005 1296 8 Complements Complements NNPS A34005 1296 9 of of IN A34005 1296 10 the the DT A34005 1296 11 angles angle NNS A34005 1296 12 observed observe VBN A34005 1296 13 at at IN A34005 1296 14 the the DT A34005 1296 15 two two CD A34005 1296 16 Stations Stations NNPS A34005 1296 17 , , , A34005 1296 18 viz viz NN A34005 1296 19 . . . A34005 1297 1 at at IN A34005 1297 2 G G NNP A34005 1297 3 were be VBD A34005 1297 4 20 20 CD A34005 1297 5 d d NN A34005 1297 6 , , , A34005 1297 7 at at IN A34005 1297 8 H h NN A34005 1297 9 41 41 CD A34005 1297 10 d d CD A34005 1297 11 31′ 31′ CD A34005 1297 12 . . . A34005 1298 1 Take take VB A34005 1298 2 the the DT A34005 1298 3 distance distance NN A34005 1298 4 on on IN A34005 1298 5 the the DT A34005 1298 6 Line Line NNP A34005 1298 7 of of IN A34005 1298 8 Tangents tangent NNS A34005 1298 9 between between IN A34005 1298 10 these these DT A34005 1298 11 two two CD A34005 1298 12 Arks Arks NNPS A34005 1298 13 , , , A34005 1298 14 and and CC A34005 1298 15 because because IN A34005 1298 16 equal equal JJ A34005 1298 17 parts part NNS A34005 1298 18 are be VBP A34005 1298 19 sought seek VBN A34005 1298 20 , , , A34005 1298 21 and and CC A34005 1298 22 the the DT A34005 1298 23 said say VBD A34005 1298 24 Extent extent NN A34005 1298 25 less less RBR A34005 1298 26 then then RB A34005 1298 27 50 50 CD A34005 1298 28 , , , A34005 1298 29 the the DT A34005 1298 30 measured measure VBN A34005 1298 31 distance distance NN A34005 1298 32 changing change VBG A34005 1298 33 the the DT A34005 1298 34 second second JJ A34005 1298 35 Tearm Tearm NNP A34005 1298 36 of of IN A34005 1298 37 the the DT A34005 1298 38 Proportion Proportion NNP A34005 1298 39 into into IN A34005 1298 40 the the DT A34005 1298 41 place place NN A34005 1298 42 of of IN A34005 1298 43 the the DT A34005 1298 44 third third JJ A34005 1298 45 , , , A34005 1298 46 Enter enter VB A34005 1298 47 the the DT A34005 1298 48 said say VBN A34005 1298 49 Extent extent NN A34005 1298 50 upon upon IN A34005 1298 51 50 50 CD A34005 1298 52 in in IN A34005 1298 53 the the DT A34005 1298 54 equal equal JJ A34005 1298 55 parts part NNS A34005 1298 56 , , , A34005 1298 57 laying lay VBG A34005 1298 58 the the DT A34005 1298 59 Thread thread NN A34005 1298 60 to to IN A34005 1298 61 the the DT A34005 1298 62 other other JJ A34005 1298 63 foot foot NN A34005 1298 64 , , , A34005 1298 65 then then RB A34005 1298 66 if if IN A34005 1298 67 the the DT A34005 1298 68 Tangent Tangent NNP A34005 1298 69 of of IN A34005 1298 70 45 45 CD A34005 1298 71 d d NNS A34005 1298 72 be be VB A34005 1298 73 entred entre VBN A34005 1298 74 between between IN A34005 1298 75 the the DT A34005 1298 76 Scale Scale NNP A34005 1298 77 and and CC A34005 1298 78 the the DT A34005 1298 79 Thread thread NN A34005 1298 80 , , , A34005 1298 81 the the DT A34005 1298 82 Compasses compass NNS A34005 1298 83 will will MD A34005 1298 84 rest rest VB A34005 1298 85 upon upon IN A34005 1298 86 96 96 CD A34005 1298 87 for for IN A34005 1298 88 the the DT A34005 1298 89 Altitude altitude NN A34005 1298 90 sought seek VBD A34005 1298 91 . . . A34005 1299 1 To to TO A34005 1299 2 work work VB A34005 1299 3 Proportions proportion NNS A34005 1299 4 in in IN A34005 1299 5 equal equal JJ A34005 1299 6 Parts part NNS A34005 1299 7 and and CC A34005 1299 8 Sines Sines NNPS A34005 1299 9 by by IN A34005 1299 10 help help NN A34005 1299 11 of of IN A34005 1299 12 the the DT A34005 1299 13 Limb Limb NNP A34005 1299 14 . . . A34005 1300 1 TO to TO A34005 1300 2 suppose suppose VB A34005 1300 3 both both CC A34005 1300 4 the the DT A34005 1300 5 middle middle JJ A34005 1300 6 Tearms Tearms NNPS A34005 1300 7 to to TO A34005 1300 8 be be VB A34005 1300 9 either either CC A34005 1300 10 equal equal JJ A34005 1300 11 Parts Parts NNPS A34005 1300 12 or or CC A34005 1300 13 Sines Sines NNPS A34005 1300 14 , , , A34005 1300 15 will will MD A34005 1300 16 not not RB A34005 1300 17 be be VB A34005 1300 18 practical practical JJ A34005 1300 19 , , , A34005 1300 20 yet yet RB A34005 1300 21 may may MD A34005 1300 22 be be VB A34005 1300 23 performed perform VBN A34005 1300 24 as as IN A34005 1300 25 before before RB A34005 1300 26 hinted hint VBN A34005 1300 27 , , , A34005 1300 28 without without IN A34005 1300 29 introducing introduce VBG A34005 1300 30 the the DT A34005 1300 31 Radius Radius NNP A34005 1300 32 , , , A34005 1300 33 if if IN A34005 1300 34 it -PRON- PRP A34005 1300 35 be be VB A34005 1300 36 not not RB A34005 1300 37 ingredient ingredient JJ A34005 1300 38 , , , A34005 1300 39 because because IN A34005 1300 40 both both PDT A34005 1300 41 these these DT A34005 1300 42 Lines line NNS A34005 1300 43 issue issue VBP A34005 1300 44 from from IN A34005 1300 45 the the DT A34005 1300 46 Center Center NNP A34005 1300 47 , , , A34005 1300 48 and and CC A34005 1300 49 may may MD A34005 1300 50 also also RB A34005 1300 51 be be VB A34005 1300 52 performed perform VBN A34005 1300 53 by by IN A34005 1300 54 the the DT A34005 1300 55 Pen Pen NNP A34005 1300 56 by by IN A34005 1300 57 measuring measure VBG A34005 1300 58 the the DT A34005 1300 59 Sines Sines NNPS A34005 1300 60 one one CD A34005 1300 61 the the DT A34005 1300 62 Line line NN A34005 1300 63 of of IN A34005 1300 64 equal equal JJ A34005 1300 65 parts part NNS A34005 1300 66 , , , A34005 1300 67 as as IN A34005 1300 68 was be VBD A34005 1300 69 instanced instance VBN A34005 1300 70 in in IN A34005 1300 71 page page NN A34005 1300 72 41 41 CD A34005 1300 73 . . . A34005 1301 1 But but CC A34005 1301 2 supposing suppose VBG A34005 1301 3 the the DT A34005 1301 4 middle middle JJ A34005 1301 5 Tearms tearm NNS A34005 1301 6 of of IN A34005 1301 7 a a DT A34005 1301 8 different different JJ A34005 1301 9 kind kind NN A34005 1301 10 . . . A34005 1302 1 1 1 LS A34005 1302 2 . . . A34005 1303 1 If if IN A34005 1303 2 a a DT A34005 1303 3 Sine Sine NNP A34005 1303 4 be be VB A34005 1303 5 sought seek VBN A34005 1303 6 , , , A34005 1303 7 Operate operate VB A34005 1303 8 by by IN A34005 1303 9 introducing introduce VBG A34005 1303 10 the the DT A34005 1303 11 Radius Radius NNP A34005 1303 12 . . . A34005 1304 1 Lay lay VB A34005 1304 2 the the DT A34005 1304 3 Thread thread NN A34005 1304 4 to to IN A34005 1304 5 the the DT A34005 1304 6 Sine Sine NNP A34005 1304 7 in in IN A34005 1304 8 the the DT A34005 1304 9 Limb Limb NNP A34005 1304 10 being be VBG A34005 1304 11 one one CD A34005 1304 12 of of IN A34005 1304 13 the the DT A34005 1304 14 middle middle JJ A34005 1304 15 Tearms Tearms NNP A34005 1304 16 , , , A34005 1304 17 and and CC A34005 1304 18 from from IN A34005 1304 19 the the DT A34005 1304 20 other other JJ A34005 1304 21 middle middle JJ A34005 1304 22 Tearm Tearm NNP A34005 1304 23 being be VBG A34005 1304 24 equal equal JJ A34005 1304 25 parts part NNS A34005 1304 26 , , , A34005 1304 27 take take VB A34005 1304 28 the the DT A34005 1304 29 nearest near JJS A34005 1304 30 distance distance NN A34005 1304 31 to to IN A34005 1304 32 it -PRON- PRP A34005 1304 33 , , , A34005 1304 34 one one CD A34005 1304 35 foot foot NN A34005 1304 36 of of IN A34005 1304 37 this this DT A34005 1304 38 extent extent NN A34005 1304 39 enter enter VBP A34005 1304 40 at at IN A34005 1304 41 the the DT A34005 1304 42 first first JJ A34005 1304 43 Tearm Tearm NNP A34005 1304 44 , , , A34005 1304 45 and and CC A34005 1304 46 the the DT A34005 1304 47 Thread thread NN A34005 1304 48 laid lay VBD A34005 1304 49 to to IN A34005 1304 50 the the DT A34005 1304 51 other other JJ A34005 1304 52 foot foot NN A34005 1304 53 cuts cut VBZ A34005 1304 54 the the DT A34005 1304 55 Limb Limb NNP A34005 1304 56 at at IN A34005 1304 57 the the DT A34005 1304 58 Ark Ark NNP A34005 1304 59 sought seek VBD A34005 1304 60 . . . A34005 1305 1 If if IN A34005 1305 2 the the DT A34005 1305 3 Ark Ark NNP A34005 1305 4 sought seek VBD A34005 1305 5 be be VB A34005 1305 6 above above IN A34005 1305 7 70 70 CD A34005 1305 8 d d NN A34005 1305 9 this this DT A34005 1305 10 work work NN A34005 1305 11 may may MD A34005 1305 12 better better RB A34005 1305 13 be be VB A34005 1305 14 performed perform VBN A34005 1305 15 with with IN A34005 1305 16 the the DT A34005 1305 17 Line line NN A34005 1305 18 of of IN A34005 1305 19 equal equal JJ A34005 1305 20 parts part NNS A34005 1305 21 and and CC A34005 1305 22 Sines Sines NNPS A34005 1305 23 jointly jointly RB A34005 1305 24 , , , A34005 1305 25 as as IN A34005 1305 26 issuing issue VBG A34005 1305 27 from from IN A34005 1305 28 the the DT A34005 1305 29 Center Center NNP A34005 1305 30 . . . A34005 1306 1 2 2 LS A34005 1306 2 . . . A34005 1307 1 If if IN A34005 1307 2 a a DT A34005 1307 3 Number number NN A34005 1307 4 be be VB A34005 1307 5 sought seek VBN A34005 1307 6 ▪ ▪ IN A34005 1307 7 Lay Lay NNP A34005 1307 8 the the DT A34005 1307 9 Thread thread NN A34005 1307 10 to to IN A34005 1307 11 the the DT A34005 1307 12 Sine Sine NNP A34005 1307 13 in in IN A34005 1307 14 the the DT A34005 1307 15 Limb Limb NNP A34005 1307 16 being be VBG A34005 1307 17 one one CD A34005 1307 18 of of IN A34005 1307 19 the the DT A34005 1307 20 middle middle JJ A34005 1307 21 Tearms Tearms NNP A34005 1307 22 , , , A34005 1307 23 and and CC A34005 1307 24 from from IN A34005 1307 25 the the DT A34005 1307 26 other other JJ A34005 1307 27 middle middle JJ A34005 1307 28 Tearm Tearm NNP A34005 1307 29 being be VBG A34005 1307 30 equal equal JJ A34005 1307 31 parts part NNS A34005 1307 32 take take VBP A34005 1307 33 the the DT A34005 1307 34 nearest near JJS A34005 1307 35 distance distance NN A34005 1307 36 to to IN A34005 1307 37 it -PRON- PRP A34005 1307 38 , , , A34005 1307 39 Then then RB A34005 1307 40 lay lay VB A34005 1307 41 the the DT A34005 1307 42 Thread thread NN A34005 1307 43 to to IN A34005 1307 44 the the DT A34005 1307 45 first first JJ A34005 1307 46 Tearm Tearm NNP A34005 1307 47 in in IN A34005 1307 48 the the DT A34005 1307 49 Limb Limb NNP A34005 1307 50 being be VBG A34005 1307 51 a a DT A34005 1307 52 sine sine NN A34005 1307 53 , , , A34005 1307 54 and and CC A34005 1307 55 enter enter VB A34005 1307 56 the the DT A34005 1307 57 former former JJ A34005 1307 58 extent extent NN A34005 1307 59 between between IN A34005 1307 60 the the DT A34005 1307 61 Scale Scale NNP A34005 1307 62 and and CC A34005 1307 63 the the DT A34005 1307 64 Thread thread NN A34005 1307 65 , , , A34005 1307 66 and and CC A34005 1307 67 the the DT A34005 1307 68 foot foot NN A34005 1307 69 of of IN A34005 1307 70 the the DT A34005 1307 71 Compasses Compasses NNPS A34005 1307 72 will will MD A34005 1307 73 on on IN A34005 1307 74 the the DT A34005 1307 75 Line line NN A34005 1307 76 of of IN A34005 1307 77 equal equal JJ A34005 1307 78 parts part NNS A34005 1307 79 shew shew VBP A34005 1307 80 the the DT A34005 1307 81 fourth fourth JJ A34005 1307 82 Proportional Proportional NNP A34005 1307 83 . . . A34005 1308 1 The the DT A34005 1308 2 Proportion Proportion NNP A34005 1308 3 for for IN A34005 1308 4 finding find VBG A34005 1308 5 the the DT A34005 1308 6 Altitude Altitude NNP A34005 1308 7 of of IN A34005 1308 8 a a DT A34005 1308 9 Tower Tower NNP A34005 1308 10 at at IN A34005 1308 11 one one CD A34005 1308 12 Station Station NNP A34005 1308 13 by by IN A34005 1308 14 the the DT A34005 1308 15 measured measure VBN A34005 1308 16 distance distance NN A34005 1308 17 , , , A34005 1308 18 may may MD A34005 1308 19 also also RB A34005 1308 20 be be VB A34005 1308 21 wrought work VBN A34005 1308 22 in in RB A34005 1308 23 in in IN A34005 1308 24 equal equal JJ A34005 1308 25 parts part NNS A34005 1308 26 and and CC A34005 1308 27 Sines Sines NNPS A34005 1308 28 . . . A34005 1309 1 For for IN A34005 1309 2 , , , A34005 1309 3 As as IN A34005 1309 4 the the DT A34005 1309 5 Cosine Cosine NNP A34005 1309 6 of of IN A34005 1309 7 the the DT A34005 1309 8 Ark Ark NNP A34005 1309 9 at at IN A34005 1309 10 first first JJ A34005 1309 11 Station Station NNP A34005 1309 12 , , , A34005 1309 13 To to IN A34005 1309 14 the the DT A34005 1309 15 measured measure VBN A34005 1309 16 distance distance NN A34005 1309 17 thereof thereof RB A34005 1309 18 from from IN A34005 1309 19 the the DT A34005 1309 20 Tower Tower NNP A34005 1309 21 : : : A34005 1309 22 So so RB A34005 1309 23 is be VBZ A34005 1309 24 the the DT A34005 1309 25 Sine Sine NNP A34005 1309 26 of of IN A34005 1309 27 the the DT A34005 1309 28 said say VBD A34005 1309 29 Ark Ark NNP A34005 1309 30 , , , A34005 1309 31 To to IN A34005 1309 32 the the DT A34005 1309 33 Altitude Altitude NNP A34005 1309 34 of of IN A34005 1309 35 the the DT A34005 1309 36 Tower Tower NNP A34005 1309 37 . . . A34005 1310 1 In in IN A34005 1310 2 that that DT A34005 1310 3 former former JJ A34005 1310 4 Scheme Scheme NNP A34005 1310 5 , , , A34005 1310 6 the the DT A34005 1310 7 measured measured JJ A34005 1310 8 distance distance NN A34005 1310 9 B B NNP A34005 1310 10 H H NNP A34005 1310 11 is be VBZ A34005 1310 12 85 85 CD A34005 1310 13 , , , A34005 1310 14 and and CC A34005 1310 15 the the DT A34005 1310 16 angle angle NN A34005 1310 17 observed observe VBN A34005 1310 18 at at IN A34005 1310 19 H H NNP A34005 1310 20 48 48 CD A34005 1310 21 d d CD A34005 1310 22 29′ 29′ CD A34005 1310 23 Wherefore wherefore WDT A34005 1310 24 I -PRON- PRP A34005 1310 25 lay lie VBD A34005 1310 26 the the DT A34005 1310 27 Thread thread NN A34005 1310 28 to to IN A34005 1310 29 the the DT A34005 1310 30 Sine Sine NNP A34005 1310 31 of of IN A34005 1310 32 the the DT A34005 1310 33 said say VBN A34005 1310 34 Ark Ark NNP A34005 1310 35 in in IN A34005 1310 36 the the DT A34005 1310 37 Limb Limb NNP A34005 1310 38 , , , A34005 1310 39 counted count VBD A34005 1310 40 from from IN A34005 1310 41 the the DT A34005 1310 42 right right JJ A34005 1310 43 edge edge NN A34005 1310 44 , , , A34005 1310 45 and and CC A34005 1310 46 from from IN A34005 1310 47 the the DT A34005 1310 48 measured measure VBN A34005 1310 49 distance distance NN A34005 1310 50 in in IN A34005 1310 51 the the DT A34005 1310 52 equal equal JJ A34005 1310 53 parts part NNS A34005 1310 54 take take VBP A34005 1310 55 the the DT A34005 1310 56 nearest near JJS A34005 1310 57 extent extent NN A34005 1310 58 to to IN A34005 1310 59 the the DT A34005 1310 60 Thread thread NN A34005 1310 61 , , , A34005 1310 62 then then RB A34005 1310 63 laying lay VBG A34005 1310 64 the the DT A34005 1310 65 Thread thread NN A34005 1310 66 to to IN A34005 1310 67 the the DT A34005 1310 68 Cosine Cosine NNP A34005 1310 69 of of IN A34005 1310 70 the the DT A34005 1310 71 said say VBD A34005 1310 72 Ark Ark NNP A34005 1310 73 in in IN A34005 1310 74 the the DT A34005 1310 75 Limb Limb NNP A34005 1310 76 , , , A34005 1310 77 and and CC A34005 1310 78 entring entre VBG A34005 1310 79 the the DT A34005 1310 80 former former JJ A34005 1310 81 extent extent NN A34005 1310 82 between between IN A34005 1310 83 the the DT A34005 1310 84 Thread Thread NNP A34005 1310 85 and and CC A34005 1310 86 the the DT A34005 1310 87 Scale Scale NNP A34005 1310 88 , , , A34005 1310 89 I -PRON- PRP A34005 1310 90 shall shall MD A34005 1310 91 find find VB A34005 1310 92 the the DT A34005 1310 93 foot foot NN A34005 1310 94 of of IN A34005 1310 95 the the DT A34005 1310 96 Compasses compass NNS A34005 1310 97 to to TO A34005 1310 98 fall fall VB A34005 1310 99 upon upon IN A34005 1310 100 96 96 CD A34005 1310 101 the the DT A34005 1310 102 Altitude altitude NN A34005 1310 103 sought seek VBD A34005 1310 104 . . . A34005 1311 1 So so RB A34005 1311 2 also also RB A34005 1311 3 in in IN A34005 1311 4 the the DT A34005 1311 5 Triangle Triangle NNP A34005 1311 6 A A NNP A34005 1311 7 C c NN A34005 1311 8 B b NN A34005 1311 9 , , , A34005 1311 10 if if IN A34005 1311 11 there there EX A34005 1311 12 were be VBD A34005 1311 13 given give VBN A34005 1311 14 the the DT A34005 1311 15 side side NN A34005 1311 16 A A NNP A34005 1311 17 C C NNP A34005 1311 18 194 194 CD A34005 1311 19 , , , A34005 1311 20 the the DT A34005 1311 21 measured measure VBN A34005 1311 22 distance distance NN A34005 1311 23 between between IN A34005 1311 24 two two CD A34005 1311 25 Stations station NNS A34005 1311 26 on on IN A34005 1311 27 the the DT A34005 1311 28 Wall Wall NNP A34005 1311 29 of of IN A34005 1311 30 a a DT A34005 1311 31 Town Town NNP A34005 1311 32 besieged besiege VBD A34005 1311 33 , , , A34005 1311 34 and and CC A34005 1311 35 the the DT A34005 1311 36 observed observe VBN A34005 1311 37 angles angle NNS A34005 1311 38 at at IN A34005 1311 39 A a DT A34005 1311 40 25 25 CD A34005 1311 41 d d NN A34005 1311 42 22′ 22′ CD A34005 1311 43 , , , A34005 1311 44 at at IN A34005 1311 45 C C NNP A34005 1311 46 113 113 CD A34005 1311 47 d d NN A34005 1311 48 22′ 22′ CD A34005 1311 49 , , , A34005 1311 50 if if IN A34005 1311 51 B B NNP A34005 1311 52 were be VBD A34005 1311 53 a a DT A34005 1311 54 Battery battery NN A34005 1311 55 we -PRON- PRP A34005 1311 56 might may MD A34005 1311 57 by by IN A34005 1311 58 this this DT A34005 1311 59 work work NN A34005 1311 60 find find VB A34005 1311 61 the the DT A34005 1311 62 distance distance NN A34005 1311 63 of of IN A34005 1311 64 it -PRON- PRP A34005 1311 65 from from IN A34005 1311 66 either either CC A34005 1311 67 A a NN A34005 1311 68 or or CC A34005 1311 69 C C NNP A34005 1311 70 , , , A34005 1311 71 for for IN A34005 1311 72 having have VBG A34005 1311 73 two two CD A34005 1311 74 angles angle NNS A34005 1311 75 given give VBN A34005 1311 76 all all PDT A34005 1311 77 the the DT A34005 1311 78 three three CD A34005 1311 79 are be VBP A34005 1311 80 given give VBN A34005 1311 81 , , , A34005 1311 82 it -PRON- PRP A34005 1311 83 therefore therefore RB A34005 1311 84 holds hold VBZ A34005 1311 85 , , , A34005 1311 86 As as IN A34005 1311 87 the the DT A34005 1311 88 Sine Sine NNP A34005 1311 89 of of IN A34005 1311 90 the the DT A34005 1311 91 angle angle NN A34005 1311 92 ot ot IN A34005 1311 93 B b NN A34005 1311 94 41d 41d CD A34005 1311 95 16′ 16′ CD A34005 1311 96 , , , A34005 1311 97 To to IN A34005 1311 98 its -PRON- PRP$ A34005 1311 99 opposite opposite JJ A34005 1311 100 side side NN A34005 1311 101 A a DT A34005 1311 102 C c NN A34005 1311 103 194 194 CD A34005 1311 104 , , , A34005 1311 105 So so CC A34005 1311 106 the the DT A34005 1311 107 Sine Sine NNP A34005 1311 108 of of IN A34005 1311 109 the the DT A34005 1311 110 angle angle NN A34005 1311 111 at at IN A34005 1311 112 C C NNP A34005 1311 113 66d 66d NNS A34005 1311 114 , , , A34005 1311 115 38′ 38′ CD A34005 1311 116 the the DT A34005 1311 117 Complement Complement NNP A34005 1311 118 , , , A34005 1311 119 To to IN A34005 1311 120 its -PRON- PRP$ A34005 1311 121 Opposite opposite JJ A34005 1311 122 side side NN A34005 1311 123 B B NNP A34005 1311 124 A A NNP A34005 1311 125 270 270 CD A34005 1311 126 , , , A34005 1311 127 the the DT A34005 1311 128 distance distance NN A34005 1311 129 of of IN A34005 1311 130 the the DT A34005 1311 131 Battery Battery NNP A34005 1311 132 from from IN A34005 1311 133 A a DT A34005 1311 134 Such such JJ A34005 1311 135 Proportions Proportions NNP A34005 1311 136 as as IN A34005 1311 137 have have VBP A34005 1311 138 the the DT A34005 1311 139 Radius Radius NNP A34005 1311 140 in in IN A34005 1311 141 them -PRON- PRP A34005 1311 142 will will MD A34005 1311 143 be be VB A34005 1311 144 more more RBR A34005 1311 145 easily easily RB A34005 1311 146 wrought work VBN A34005 1311 147 , , , A34005 1311 148 we -PRON- PRP A34005 1311 149 shall shall MD A34005 1311 150 give give VB A34005 1311 151 some some DT A34005 1311 152 few few JJ A34005 1311 153 Examples Examples NNPS A34005 1311 154 in in IN A34005 1311 155 Use Use NNP A34005 1311 156 in in IN A34005 1311 157 Navigation Navigation NNP A34005 1311 158 . . . A34005 1312 1 1 1 LS A34005 1312 2 . . . A34005 1313 1 To to TO A34005 1313 2 find find VB A34005 1313 3 how how WRB A34005 1313 4 many many JJ A34005 1313 5 Miles mile NNS A34005 1313 6 or or CC A34005 1313 7 Leagues Leagues NNPS A34005 1313 8 in in IN A34005 1313 9 each each DT A34005 1313 10 Parralel Parralel NNP A34005 1313 11 of of IN A34005 1313 12 Latitude Latitude NNP A34005 1313 13 answer answer NN A34005 1313 14 to to IN A34005 1313 15 one one CD A34005 1313 16 degree degree NN A34005 1313 17 of of IN A34005 1313 18 Longitude Longitude NNP A34005 1313 19 . . . A34005 1314 1 As as IN A34005 1314 2 the the DT A34005 1314 3 Radius Radius NNP A34005 1314 4 , , , A34005 1314 5 To to IN A34005 1314 6 the the DT A34005 1314 7 Cosine Cosine NNP A34005 1314 8 of of IN A34005 1314 9 the the DT A34005 1314 10 Latitude Latitude NNP A34005 1314 11 . . . A34005 1315 1 So so RB A34005 1315 2 the the DT A34005 1315 3 number number NN A34005 1315 4 of of IN A34005 1315 5 Miles Miles NNP A34005 1315 6 in in IN A34005 1315 7 a a DT A34005 1315 8 degree degree NN A34005 1315 9 in in IN A34005 1315 10 the the DT A34005 1315 11 Equinoctial Equinoctial NNP A34005 1315 12 , , , A34005 1315 13 To to IN A34005 1315 14 the the DT A34005 1315 15 Number Number NNP A34005 1315 16 of of IN A34005 1315 17 Miles Miles NNP A34005 1315 18 in in IN A34005 1315 19 the the DT A34005 1315 20 Parralel Parralel NNP A34005 1315 21 . . . A34005 1316 1 So so RB A34005 1316 2 in in IN A34005 1316 3 51 51 CD A34005 1316 4 d d NN A34005 1316 5 32′ 32′ CD A34005 1316 6 of of IN A34005 1316 7 Latitude Latitude NNP A34005 1316 8 if if IN A34005 1316 9 60 60 CD A34005 1316 10 Miles Miles NNP A34005 1316 11 answer answer VBP A34005 1316 12 to to IN A34005 1316 13 a a DT A34005 1316 14 degree degree NN A34005 1316 15 in in IN A34005 1316 16 the the DT A34005 1316 17 Equinoctial equinoctial JJ A34005 1316 18 37 37 CD A34005 1316 19 ‑ ‑ NN A34005 1316 20 3 3 CD A34005 1316 21 Miles Miles NNP A34005 1316 22 shall shall MD A34005 1316 23 answer answer VB A34005 1316 24 to to IN A34005 1316 25 one one CD A34005 1316 26 degree degree NN A34005 1316 27 in in IN A34005 1316 28 this this DT A34005 1316 29 Parralel Parralel NNP A34005 1316 30 . . . A34005 1317 1 This this DT A34005 1317 2 is be VBZ A34005 1317 3 wrought work VBN A34005 1317 4 by by IN A34005 1317 5 laying lay VBG A34005 1317 6 the the DT A34005 1317 7 Thread Thread NNP A34005 1317 8 to to IN A34005 1317 9 51 51 CD A34005 1317 10 d d NN A34005 1317 11 32′ 32′ CD A34005 1317 12 in in IN A34005 1317 13 the the DT A34005 1317 14 Limb Limb NNP A34005 1317 15 from from IN A34005 1317 16 the the DT A34005 1317 17 left left JJ A34005 1317 18 edge edge NN A34005 1317 19 towards towards IN A34005 1317 20 the the DT A34005 1317 21 right right NN A34005 1317 22 , , , A34005 1317 23 then then RB A34005 1317 24 take take VB A34005 1317 25 the the DT A34005 1317 26 nearest near JJS A34005 1317 27 distance distance NN A34005 1317 28 to to IN A34005 1317 29 it -PRON- PRP A34005 1317 30 from from IN A34005 1317 31 60 60 CD A34005 1317 32 in in IN A34005 1317 33 the the DT A34005 1317 34 equal equal JJ A34005 1317 35 parts part NNS A34005 1317 36 which which WDT A34005 1317 37 measured measure VBD A34005 1317 38 from from IN A34005 1317 39 the the DT A34005 1317 40 Center Center NNP A34005 1317 41 will will MD A34005 1317 42 be be VB A34005 1317 43 found find VBN A34005 1317 44 to to TO A34005 1317 45 reach reach VB A34005 1317 46 to to IN A34005 1317 47 37 37 CD A34005 1317 48 ‑ ‑ NN A34005 1317 49 3 3 CD A34005 1317 50 as as IN A34005 1317 51 before before RB A34005 1317 52 . . . A34005 1318 1 The the DT A34005 1318 2 reason reason NN A34005 1318 3 of of IN A34005 1318 4 this this DT A34005 1318 5 facil facil NN A34005 1318 6 Operation operation NN A34005 1318 7 is be VBZ A34005 1318 8 because because IN A34005 1318 9 the the DT A34005 1318 10 nearest near JJS A34005 1318 11 distance distance NN A34005 1318 12 from from IN A34005 1318 13 the the DT A34005 1318 14 end end NN A34005 1318 15 of of IN A34005 1318 16 the the DT A34005 1318 17 Line line NN A34005 1318 18 of of IN A34005 1318 19 equal equal JJ A34005 1318 20 parts part NNS A34005 1318 21 to to IN A34005 1318 22 the the DT A34005 1318 23 Thread thread NN A34005 1318 24 is be VBZ A34005 1318 25 equal equal JJ A34005 1318 26 to to IN A34005 1318 27 the the DT A34005 1318 28 Cosine Cosine NNP A34005 1318 29 of of IN A34005 1318 30 the the DT A34005 1318 31 Latitude Latitude NNP A34005 1318 32 , , , A34005 1318 33 the the DT A34005 1318 34 Scale scale NN A34005 1318 35 it -PRON- PRP A34005 1318 36 self self VBD A34005 1318 37 being be VBG A34005 1318 38 equal equal JJ A34005 1318 39 to to IN A34005 1318 40 the the DT A34005 1318 41 Radius Radius NNP A34005 1318 42 , , , A34005 1318 43 and and CC A34005 1318 44 therefore therefore RB A34005 1318 45 needs need VBZ A34005 1318 46 not not RB A34005 1318 47 be be VB A34005 1318 48 taken take VBN A34005 1318 49 out out IN A34005 1318 50 of of IN A34005 1318 51 a a DT A34005 1318 52 Scale Scale NNP A34005 1318 53 of of IN A34005 1318 54 Sines Sines NNPS A34005 1318 55 and and CC A34005 1318 56 entred entre VBN A34005 1318 57 upon upon IN A34005 1318 58 the the DT A34005 1318 59 first first JJ A34005 1318 60 Tearm Tearm NNP A34005 1318 61 the the DT A34005 1318 62 Radius Radius NNP A34005 1318 63 as as IN A34005 1318 64 in in IN A34005 1318 65 other other JJ A34005 1318 66 Proportions Proportions NNPS A34005 1318 67 in in IN A34005 1318 68 Sines Sines NNPS A34005 1318 69 of of IN A34005 1318 70 of of IN A34005 1318 71 the the DT A34005 1318 72 greater great JJR A34005 1318 73 to to IN A34005 1318 74 the the DT A34005 1318 75 less less JJR A34005 1318 76 , , , A34005 1318 77 when when WRB A34005 1318 78 wrought work VBN A34005 1318 79 upon upon IN A34005 1318 80 a a DT A34005 1318 81 single single JJ A34005 1318 82 Line Line NNP A34005 1318 83 only only RB A34005 1318 84 issuing issue VBG A34005 1318 85 from from IN A34005 1318 86 the the DT A34005 1318 87 Center Center NNP A34005 1318 88 , , , A34005 1318 89 where where WRB A34005 1318 90 the the DT A34005 1318 91 second second JJ A34005 1318 92 Tearm Tearm NNP A34005 1318 93 must must MD A34005 1318 94 be be VB A34005 1318 95 taken take VBN A34005 1318 96 out out IN A34005 1318 97 of of IN A34005 1318 98 a a DT A34005 1318 99 Scale Scale NNP A34005 1318 100 , , , A34005 1318 101 and and CC A34005 1318 102 entred entre VBD A34005 1318 103 upon upon IN A34005 1318 104 the the DT A34005 1318 105 first first JJ A34005 1318 106 Tearm Tearm NNP A34005 1318 107 . . . A34005 1319 1 2 2 LS A34005 1319 2 . . . A34005 1320 1 The the DT A34005 1320 2 Course course NN A34005 1320 3 and and CC A34005 1320 4 Distance Distance NNP A34005 1320 5 given give VBN A34005 1320 6 to to TO A34005 1320 7 find find VB A34005 1320 8 the the DT A34005 1320 9 difference difference NN A34005 1320 10 of of IN A34005 1320 11 Latitude Latitude NNP A34005 1320 12 in in IN A34005 1320 13 Leagues Leagues NNPS A34005 1320 14 or or CC A34005 1320 15 Miles Miles NNP A34005 1320 16 . . . A34005 1321 1 As as IN A34005 1321 2 the the DT A34005 1321 3 Radius Radius NNP A34005 1321 4 , , , A34005 1321 5 To to IN A34005 1321 6 the the DT A34005 1321 7 Cosine Cosine NNP A34005 1321 8 of of IN A34005 1321 9 the the DT A34005 1321 10 Rumb Rumb NNP A34005 1321 11 from from IN A34005 1321 12 the the DT A34005 1321 13 Meridian Meridian NNP A34005 1321 14 : : : A34005 1321 15 So so CC A34005 1321 16 the the DT A34005 1321 17 Distance Distance NNP A34005 1321 18 sailed sail VBD A34005 1321 19 , , , A34005 1321 20 To to IN A34005 1321 21 the the DT A34005 1321 22 difference difference NN A34005 1321 23 of of IN A34005 1321 24 Latitude Latitude NNP A34005 1321 25 in in IN A34005 1321 26 like like JJ A34005 1321 27 parts part NNS A34005 1321 28 . . . A34005 1322 1 Example example NN A34005 1322 2 . . . A34005 1323 1 A a DT A34005 1323 2 Ship ship NN A34005 1323 3 sailed sail VBD A34005 1323 4 S S NNP A34005 1323 5 W W NNP A34005 1323 6 by by IN A34005 1323 7 W W NNP A34005 1323 8 , , , A34005 1323 9 that that DT A34005 1323 10 is be VBZ A34005 1323 11 on on IN A34005 1323 12 a a DT A34005 1323 13 Rumb Rumb NNP A34005 1323 14 56 56 CD A34005 1323 15 d d CD A34005 1323 16 15′ 15′ CD A34005 1323 17 from from IN A34005 1323 18 the the DT A34005 1323 19 Meridian Meridian NNP A34005 1323 20 60 60 NNP A34005 1323 21 Miles Miles NNP A34005 1323 22 , , , A34005 1323 23 the the DT A34005 1323 24 difference difference NN A34005 1323 25 of of IN A34005 1323 26 Latitude Latitude NNP A34005 1323 27 in in IN A34005 1323 28 Miles Miles NNP A34005 1323 29 will will MD A34005 1323 30 be be VB A34005 1323 31 found find VBN A34005 1323 32 to to TO A34005 1323 33 be be VB A34005 1323 34 33 33 CD A34005 1323 35 ‑ ‑ NN A34005 1323 36 3 3 CD A34005 1323 37 the the DT A34005 1323 38 Operation operation NN A34005 1323 39 being be VBG A34005 1323 40 all all DT A34005 1323 41 one one NN A34005 1323 42 with with IN A34005 1323 43 the the DT A34005 1323 44 former former JJ A34005 1323 45 , , , A34005 1323 46 Lay Lay NNP A34005 1323 47 the the DT A34005 1323 48 Thread thread NN A34005 1323 49 to to IN A34005 1323 50 the the DT A34005 1323 51 Rumb Rumb NNP A34005 1323 52 in in IN A34005 1323 53 the the DT A34005 1323 54 Limb Limb NNP A34005 1323 55 , , , A34005 1323 56 and and CC A34005 1323 57 from from IN A34005 1323 58 60 60 CD A34005 1323 59 take take VB A34005 1323 60 the the DT A34005 1323 61 nearest near JJS A34005 1323 62 distance distance NN A34005 1323 63 to to IN A34005 1323 64 it -PRON- PRP A34005 1323 65 , , , A34005 1323 66 which which WDT A34005 1323 67 measured measure VBN A34005 1323 68 in in IN A34005 1323 69 the the DT A34005 1323 70 Scale scale NN A34005 1323 71 of of IN A34005 1323 72 equal equal JJ A34005 1323 73 parts part NNS A34005 1323 74 will will MD A34005 1323 75 be be VB A34005 1323 76 found find VBN A34005 1323 77 as as IN A34005 1323 78 before before RB A34005 1323 79 , , , A34005 1323 80 3 3 CD A34005 1323 81 . . . A34005 1324 1 The the DT A34005 1324 2 Course course NN A34005 1324 3 and and CC A34005 1324 4 Distance Distance NNP A34005 1324 5 given give VBN A34005 1324 6 to to TO A34005 1324 7 find find VB A34005 1324 8 the the DT A34005 1324 9 Departure Departure NNP A34005 1324 10 from from IN A34005 1324 11 the the DT A34005 1324 12 Meridian Meridian NNP A34005 1324 13 , , , A34005 1324 14 alias alia VBZ A34005 1324 15 the the DT A34005 1324 16 Variation Variation NNP A34005 1324 17 . . . A34005 1325 1 As as IN A34005 1325 2 the the DT A34005 1325 3 Radius Radius NNP A34005 1325 4 , , , A34005 1325 5 To to IN A34005 1325 6 the the DT A34005 1325 7 Sine Sine NNP A34005 1325 8 of of IN A34005 1325 9 the the DT A34005 1325 10 Rumb Rumb NNP A34005 1325 11 from from IN A34005 1325 12 the the DT A34005 1325 13 Meridian Meridian NNP A34005 1325 14 : : : A34005 1325 15 So so RB A34005 1325 16 the the DT A34005 1325 17 distance distance NN A34005 1325 18 Sailed sail VBD A34005 1325 19 , , , A34005 1325 20 To to IN A34005 1325 21 the the DT A34005 1325 22 Departure departure NN A34005 1325 23 from from IN A34005 1325 24 the the DT A34005 1325 25 Meridian Meridian NNP A34005 1325 26 . . . A34005 1326 1 In in IN A34005 1326 2 the the DT A34005 1326 3 former former JJ A34005 1326 4 Example example NN A34005 1326 5 to to TO A34005 1326 6 find find VB A34005 1326 7 the the DT A34005 1326 8 Departure Departure NNP A34005 1326 9 from from IN A34005 1326 10 the the DT A34005 1326 11 Meridian Meridian NNP A34005 1326 12 , , , A34005 1326 13 Lay Lay NNP A34005 1326 14 the the DT A34005 1326 15 Thread thread NN A34005 1326 16 to to IN A34005 1326 17 the the DT A34005 1326 18 Rumb Rumb NNP A34005 1326 19 counted count VBN A34005 1326 20 from from IN A34005 1326 21 the the DT A34005 1326 22 right right JJ A34005 1326 23 edge edge NN A34005 1326 24 towards towards IN A34005 1326 25 the the DT A34005 1326 26 left left NN A34005 1326 27 , , , A34005 1326 28 that that DT A34005 1326 29 is be VBZ A34005 1326 30 to to IN A34005 1326 31 56d 56d NNS A34005 1326 32 15′ 15′ CD A34005 1326 33 so so RB A34005 1326 34 counted count VBN A34005 1326 35 , , , A34005 1326 36 and and CC A34005 1326 37 from from IN A34005 1326 38 60 60 CD A34005 1326 39 in in IN A34005 1326 40 the the DT A34005 1326 41 equal equal JJ A34005 1326 42 parts part NNS A34005 1326 43 being be VBG A34005 1326 44 the the DT A34005 1326 45 Miles Miles NNP A34005 1326 46 Sailed sail VBN A34005 1326 47 , , , A34005 1326 48 take take VB A34005 1326 49 the the DT A34005 1326 50 nearest near JJS A34005 1326 51 distance distance NN A34005 1326 52 to to IN A34005 1326 53 it -PRON- PRP A34005 1326 54 ; ; : A34005 1326 55 this this DT A34005 1326 56 extent extent NN A34005 1326 57 measured measure VBN A34005 1326 58 in in IN A34005 1326 59 the the DT A34005 1326 60 said say VBN A34005 1326 61 Scale scale NN A34005 1326 62 will will MD A34005 1326 63 be be VB A34005 1326 64 found find VBN A34005 1326 65 to to TO A34005 1326 66 be be VB A34005 1326 67 49 49 CD A34005 1326 68 ‑ ‑ NN A34005 1326 69 9 9 CD A34005 1326 70 Miles mile NNS A34005 1326 71 , , , A34005 1326 72 and and CC A34005 1326 73 so so RB A34005 1326 74 if if IN A34005 1326 75 the the DT A34005 1326 76 converse converse NN A34005 1326 77 of of IN A34005 1326 78 this this DT A34005 1326 79 were be VBD A34005 1326 80 to to TO A34005 1326 81 be be VB A34005 1326 82 wrought work VBN A34005 1326 83 , , , A34005 1326 84 it -PRON- PRP A34005 1326 85 is be VBZ A34005 1326 86 evident evident JJ A34005 1326 87 that that IN A34005 1326 88 the the DT A34005 1326 89 Miles mile NNS A34005 1326 90 of of IN A34005 1326 91 Departure Departure NNP A34005 1326 92 must must MD A34005 1326 93 be be VB A34005 1326 94 taken take VBN A34005 1326 95 out out IN A34005 1326 96 of of IN A34005 1326 97 the the DT A34005 1326 98 Scale scale NN A34005 1326 99 of of IN A34005 1326 100 equal equal JJ A34005 1326 101 parts part NNS A34005 1326 102 and and CC A34005 1326 103 entred entre VBD A34005 1326 104 Parralelly Parralelly NNP A34005 1326 105 between between IN A34005 1326 106 the the DT A34005 1326 107 Scale Scale NNP A34005 1326 108 and and CC A34005 1326 109 the the DT A34005 1326 110 Thread thread NN A34005 1326 111 lying lie VBG A34005 1326 112 over over IN A34005 1326 113 the the DT A34005 1326 114 Rumb Rumb NNP A34005 1326 115 . . . A34005 1327 1 Many many JJ A34005 1327 2 more more JJR A34005 1327 3 Examples Examples NNPS A34005 1327 4 and and CC A34005 1327 5 Propositions Propositions NNPS A34005 1327 6 might may MD A34005 1327 7 be be VB A34005 1327 8 illustrated illustrate VBN A34005 1327 9 , , , A34005 1327 10 but but CC A34005 1327 11 these these DT A34005 1327 12 are be VBP A34005 1327 13 sufficient sufficient JJ A34005 1327 14 , , , A34005 1327 15 those those DT A34005 1327 16 that that WDT A34005 1327 17 would would MD A34005 1327 18 use use VB A34005 1327 19 a a DT A34005 1327 20 Quadrant quadrant NN A34005 1327 21 for for IN A34005 1327 22 this this DT A34005 1327 23 purpose purpose NN A34005 1327 24 may may MD A34005 1327 25 have have VB A34005 1327 26 the the DT A34005 1327 27 Rumbs Rumbs NNPS A34005 1327 28 traced trace VBN A34005 1327 29 out out RP A34005 1327 30 or or CC A34005 1327 31 prickt prickt NNS A34005 1327 32 upon upon IN A34005 1327 33 the the DT A34005 1327 34 Limb Limb NNP A34005 1327 35 : : : A34005 1327 36 Now now RB A34005 1327 37 we -PRON- PRP A34005 1327 38 repair repair VBP A34005 1327 39 to to IN A34005 1327 40 the the DT A34005 1327 41 backside backside NN A34005 1327 42 of of IN A34005 1327 43 the the DT A34005 1327 44 Quadrant Quadrant NNP A34005 1327 45 . . . A34005 1328 1 Of of IN A34005 1328 2 the the DT A34005 1328 3 Line Line NNP A34005 1328 4 of of IN A34005 1328 5 on on IN A34005 1328 6 the the DT A34005 1328 7 right right JJ A34005 1328 8 Edge edge NN A34005 1328 9 of of IN A34005 1328 10 the the DT A34005 1328 11 Backside Backside NNP A34005 1328 12 . . . A34005 1329 1 THe the DT A34005 1329 2 Uses use NNS A34005 1329 3 of of IN A34005 1329 4 this this DT A34005 1329 5 Line Line NNP A34005 1329 6 are be VBP A34005 1329 7 manifold manifold JJ A34005 1329 8 in in IN A34005 1329 9 Dyalling dyalle VBG A34005 1329 10 in in IN A34005 1329 11 drawing draw VBG A34005 1329 12 Projections Projections NNPS A34005 1329 13 in in IN A34005 1329 14 working work VBG A34005 1329 15 Proportions Proportions NNP A34005 1329 16 , , , A34005 1329 17 & & CC A34005 1329 18 c. c. NNP A34005 1329 19 1 1 CD A34005 1329 20 . . . A34005 1330 1 To to TO A34005 1330 2 take take VB A34005 1330 3 of of IN A34005 1330 4 a a DT A34005 1330 5 Proportional Proportional NNP A34005 1330 6 Sine Sine NNP A34005 1330 7 to to IN A34005 1330 8 any any DT A34005 1330 9 lesser less JJR A34005 1330 10 Radius Radius NNP A34005 1330 11 then then RB A34005 1330 12 the the DT A34005 1330 13 side side NN A34005 1330 14 of of IN A34005 1330 15 the the DT A34005 1330 16 Quadrant Quadrant NNP A34005 1330 17 , , , A34005 1330 18 or or CC A34005 1330 19 which which WDT A34005 1330 20 is be VBZ A34005 1330 21 all all DT A34005 1330 22 one one NN A34005 1330 23 , , , A34005 1330 24 to to TO A34005 1330 25 divide divide VB A34005 1330 26 any any DT A34005 1330 27 Line Line NNP A34005 1330 28 shorter shorter RBR A34005 1330 29 in in IN A34005 1330 30 length length NN A34005 1330 31 then then RB A34005 1330 32 the the DT A34005 1330 33 whole whole JJ A34005 1330 34 Line line NN A34005 1330 35 of of IN A34005 1330 36 Sines Sines NNPS A34005 1330 37 in in IN A34005 1330 38 such such JJ A34005 1330 39 manner manner NN A34005 1330 40 as as IN A34005 1330 41 the the DT A34005 1330 42 same same JJ A34005 1330 43 is be VBZ A34005 1330 44 divided divide VBN A34005 1330 45 . . . A34005 1331 1 Enter enter VB A34005 1331 2 the the DT A34005 1331 3 length length NN A34005 1331 4 of of IN A34005 1331 5 the the DT A34005 1331 6 Line Line NNP A34005 1331 7 proposed propose VBD A34005 1331 8 at at IN A34005 1331 9 90 90 CD A34005 1331 10 d d NN A34005 1331 11 the the DT A34005 1331 12 end end NN A34005 1331 13 of of IN A34005 1331 14 the the DT A34005 1331 15 Scale Scale NNP A34005 1331 16 of of IN A34005 1331 17 Sines Sines NNPS A34005 1331 18 , , , A34005 1331 19 and and CC A34005 1331 20 to to IN A34005 1331 21 the the DT A34005 1331 22 other other JJ A34005 1331 23 foot foot NN A34005 1331 24 lay lie VBD A34005 1331 25 the the DT A34005 1331 26 Thread thread NN A34005 1331 27 according accord VBG A34005 1331 28 to to IN A34005 1331 29 nearest near JJS A34005 1331 30 Distance Distance NNP A34005 1331 31 , , , A34005 1331 32 or or CC A34005 1331 33 measure measure VB A34005 1331 34 the the DT A34005 1331 35 length length NN A34005 1331 36 of of IN A34005 1331 37 the the DT A34005 1331 38 Line Line NNP A34005 1331 39 proposed propose VBN A34005 1331 40 on on IN A34005 1331 41 the the DT A34005 1331 42 Line Line NNP A34005 1331 43 of of IN A34005 1331 44 Sines Sines NNPS A34005 1331 45 from from IN A34005 1331 46 the the DT A34005 1331 47 Center Center NNP A34005 1331 48 , , , A34005 1331 49 and and CC A34005 1331 50 observe observe VBP A34005 1331 51 to to IN A34005 1331 52 what what WP A34005 1331 53 Sine Sine NNP A34005 1331 54 it -PRON- PRP A34005 1331 55 is be VBZ A34005 1331 56 equal equal JJ A34005 1331 57 , , , A34005 1331 58 then then RB A34005 1331 59 lay lay VB A34005 1331 60 the the DT A34005 1331 61 Thread thread NN A34005 1331 62 over over IN A34005 1331 63 the the DT A34005 1331 64 like like JJ A34005 1331 65 Arch Arch NNP A34005 1331 66 in in IN A34005 1331 67 the the DT A34005 1331 68 Limb Limb NNP A34005 1331 69 , , , A34005 1331 70 and and CC A34005 1331 71 the the DT A34005 1331 72 nearest near JJS A34005 1331 73 distances distance NNS A34005 1331 74 to to IN A34005 1331 75 it -PRON- PRP A34005 1331 76 from from IN A34005 1331 77 each each DT A34005 1331 78 degree degree NN A34005 1331 79 of of IN A34005 1331 80 the the DT A34005 1331 81 Line Line NNP A34005 1331 82 of of IN A34005 1331 83 Sines Sines NNPS A34005 1331 84 shall shall MD A34005 1331 85 be be VB A34005 1331 86 the the DT A34005 1331 87 Proportional proportional JJ A34005 1331 88 parts part NNS A34005 1331 89 sought seek VBD A34005 1331 90 . . . A34005 1332 1 And and CC A34005 1332 2 if if IN A34005 1332 3 the the DT A34005 1332 4 Thread thread NN A34005 1332 5 be be VB A34005 1332 6 laid lay VBN A34005 1332 7 over over IN A34005 1332 8 30 30 CD A34005 1332 9 d d NN A34005 1332 10 of of IN A34005 1332 11 the the DT A34005 1332 12 Limbe Limbe NNP A34005 1332 13 the the DT A34005 1332 14 nearest near JJS A34005 1332 15 distances distance NNS A34005 1332 16 to to IN A34005 1332 17 it -PRON- PRP A34005 1332 18 will will MD A34005 1332 19 be be VB A34005 1332 20 Sines Sines NNP A34005 1332 21 to to TO A34005 1332 22 half half PDT A34005 1332 23 the the DT A34005 1332 24 Common Common NNP A34005 1332 25 Radius Radius NNP A34005 1332 26 . . . A34005 1333 1 2 2 LS A34005 1333 2 . . . A34005 1334 1 From from IN A34005 1334 2 a a DT A34005 1334 3 Line Line NNP A34005 1334 4 of of IN A34005 1334 5 Sines Sines NNPS A34005 1334 6 to to TO A34005 1334 7 take take VB A34005 1334 8 off off RP A34005 1334 9 a a DT A34005 1334 10 Tangent Tangent NNP A34005 1334 11 , , , A34005 1334 12 the the DT A34005 1334 13 Proportion proportion NN A34005 1334 14 to to TO A34005 1334 15 do do VB A34005 1334 16 it -PRON- PRP A34005 1334 17 is be VBZ A34005 1334 18 , , , A34005 1334 19 As as IN A34005 1334 20 the the DT A34005 1334 21 Cosine Cosine NNP A34005 1334 22 of of IN A34005 1334 23 an an DT A34005 1334 24 Arch Arch NNP A34005 1334 25 , , , A34005 1334 26 To to IN A34005 1334 27 the the DT A34005 1334 28 Radius Radius NNP A34005 1334 29 of of IN A34005 1334 30 the the DT A34005 1334 31 Line Line NNP A34005 1334 32 proposed propose VBD A34005 1334 33 : : : A34005 1334 34 So so CC A34005 1334 35 the the DT A34005 1334 36 Sine Sine NNP A34005 1334 37 of of IN A34005 1334 38 the the DT A34005 1334 39 said say VBN A34005 1334 40 Arch Arch NNP A34005 1334 41 , , , A34005 1334 42 To to IN A34005 1334 43 the the DT A34005 1334 44 Tangent Tangent NNP A34005 1334 45 of of IN A34005 1334 46 the the DT A34005 1334 47 said say VBN A34005 1334 48 Arch Arch NNP A34005 1334 49 . . . A34005 1335 1 Enter enter VB A34005 1335 2 the the DT A34005 1335 3 Radius Radius NNP A34005 1335 4 of of IN A34005 1335 5 the the DT A34005 1335 6 Tangent Tangent NNP A34005 1335 7 proposed propose VBN A34005 1335 8 at at IN A34005 1335 9 the the DT A34005 1335 10 Cosine Cosine NNP A34005 1335 11 of of IN A34005 1335 12 the the DT A34005 1335 13 given give VBN A34005 1335 14 Arch Arch NNP A34005 1335 15 , , , A34005 1335 16 and and CC A34005 1335 17 to to IN A34005 1335 18 the the DT A34005 1335 19 other other JJ A34005 1335 20 foot foot NN A34005 1335 21 lay lie VBD A34005 1335 22 the the DT A34005 1335 23 Thread Thread NNP A34005 1335 24 then then RB A34005 1335 25 from from IN A34005 1335 26 the the DT A34005 1335 27 Sine Sine NNP A34005 1335 28 of of IN A34005 1335 29 that that DT A34005 1335 30 Arch Arch NNP A34005 1335 31 take take VB A34005 1335 32 the the DT A34005 1335 33 nearest near JJS A34005 1335 34 distance distance NN A34005 1335 35 to to IN A34005 1335 36 the the DT A34005 1335 37 Thread thread NN A34005 1335 38 , , , A34005 1335 39 this this DT A34005 1335 40 extent extent NN A34005 1335 41 is be VBZ A34005 1335 42 the the DT A34005 1335 43 length length NN A34005 1335 44 of of IN A34005 1335 45 the the DT A34005 1335 46 Tangent Tangent NNP A34005 1335 47 sought seek VBD A34005 1335 48 ; ; : A34005 1335 49 thus thus RB A34005 1335 50 to to TO A34005 1335 51 get get VB A34005 1335 52 the the DT A34005 1335 53 Tangent Tangent NNP A34005 1335 54 of of IN A34005 1335 55 20 20 CD A34005 1335 56 d d NNPS A34005 1335 57 enter enter VBP A34005 1335 58 the the DT A34005 1335 59 Radius Radius NNP A34005 1335 60 proposed propose VBN A34005 1335 61 at at IN A34005 1335 62 the the DT A34005 1335 63 Sine Sine NNP A34005 1335 64 of of IN A34005 1335 65 70 70 CD A34005 1335 66 d d NNS A34005 1335 67 , , , A34005 1335 68 then then RB A34005 1335 69 take take VB A34005 1335 70 the the DT A34005 1335 71 nearest near JJS A34005 1335 72 distance distance NN A34005 1335 73 to to IN A34005 1335 74 the the DT A34005 1335 75 Thread thread NN A34005 1335 76 from from IN A34005 1335 77 the the DT A34005 1335 78 Sine Sine NNP A34005 1335 79 of of IN A34005 1335 80 20 20 CD A34005 1335 81 d d NNS A34005 1335 82 , , , A34005 1335 83 this this DT A34005 1335 84 extent extent NN A34005 1335 85 is be VBZ A34005 1335 86 the the DT A34005 1335 87 Tangent Tangent NNP A34005 1335 88 of of IN A34005 1335 89 the the DT A34005 1335 90 said say VBN A34005 1335 91 Arch Arch NNP A34005 1335 92 in in IN A34005 1335 93 reference reference NN A34005 1335 94 to to IN A34005 1335 95 the the DT A34005 1335 96 limited limited JJ A34005 1335 97 Radius Radius NNP A34005 1335 98 . . . A34005 1336 1 Otherways otherway NNS A34005 1336 2 by by IN A34005 1336 3 the the DT A34005 1336 4 Limb Limb NNP A34005 1336 5 . . . A34005 1337 1 Lay lay VB A34005 1337 2 the the DT A34005 1337 3 Thread thread NN A34005 1337 4 to to IN A34005 1337 5 the the DT A34005 1337 6 Sine Sine NNP A34005 1337 7 of of IN A34005 1337 8 that that DT A34005 1337 9 Arch Arch NNP A34005 1337 10 counted count VBD A34005 1337 11 from from IN A34005 1337 12 the the DT A34005 1337 13 right right JJ A34005 1337 14 edge edge NN A34005 1337 15 whereto whereto NN A34005 1337 16 you -PRON- PRP A34005 1337 17 would would MD A34005 1337 18 take take VB A34005 1337 19 out out RP A34005 1337 20 a a DT A34005 1337 21 Tangent Tangent NNP A34005 1337 22 , , , A34005 1337 23 and and CC A34005 1337 24 enter enter VB A34005 1337 25 the the DT A34005 1337 26 Radius Radius NNP A34005 1337 27 proposed propose VBD A34005 1337 28 down down RP A34005 1337 29 the the DT A34005 1337 30 Line Line NNP A34005 1337 31 of of IN A34005 1337 32 Sines Sines NNPS A34005 1337 33 from from IN A34005 1337 34 the the DT A34005 1337 35 Center Center NNP A34005 1337 36 and and CC A34005 1337 37 take take VB A34005 1337 38 the the DT A34005 1337 39 nearest near JJS A34005 1337 40 distance distance NN A34005 1337 41 to to IN A34005 1337 42 the the DT A34005 1337 43 Thread Thread NNP A34005 1337 44 then then RB A34005 1337 45 lay lie VBD A34005 1337 46 the the DT A34005 1337 47 Thread thread NN A34005 1337 48 to to IN A34005 1337 49 the the DT A34005 1337 50 like like JJ A34005 1337 51 Arch Arch NNP A34005 1337 52 from from IN A34005 1337 53 the the DT A34005 1337 54 left left JJ A34005 1337 55 edge edge NN A34005 1337 56 , , , A34005 1337 57 and and CC A34005 1337 58 enter enter VB A34005 1337 59 the the DT A34005 1337 60 extent extent NN A34005 1337 61 between between IN A34005 1337 62 the the DT A34005 1337 63 Scale Scale NNP A34005 1337 64 and and CC A34005 1337 65 the the DT A34005 1337 66 Thread thread NN A34005 1337 67 , , , A34005 1337 68 the the DT A34005 1337 69 distance distance NN A34005 1337 70 of of IN A34005 1337 71 the the DT A34005 1337 72 Foot Foot NNP A34005 1337 73 of of IN A34005 1337 74 the the DT A34005 1337 75 Compasses compass NNS A34005 1337 76 from from IN A34005 1337 77 the the DT A34005 1337 78 Center Center NNP A34005 1337 79 shall shall MD A34005 1337 80 be be VB A34005 1337 81 the the DT A34005 1337 82 length length NN A34005 1337 83 of of IN A34005 1337 84 the the DT A34005 1337 85 Tangent Tangent NNP A34005 1337 86 required require VBN A34005 1337 87 . . . A34005 1338 1 3 3 LS A34005 1338 2 . . . A34005 1339 1 From from IN A34005 1339 2 the the DT A34005 1339 3 Sines Sines NNPS A34005 1339 4 to to TO A34005 1339 5 take take VB A34005 1339 6 off off RP A34005 1339 7 a a DT A34005 1339 8 Secant secant NN A34005 1339 9 . . . A34005 1340 1 The the DT A34005 1340 2 Proportion Proportion NNP A34005 1340 3 to to TO A34005 1340 4 do do VB A34005 1340 5 it -PRON- PRP A34005 1340 6 is be VBZ A34005 1340 7 , , , A34005 1340 8 At at IN A34005 1340 9 the the DT A34005 1340 10 Cosine Cosine NNP A34005 1340 11 of of IN A34005 1340 12 the the DT A34005 1340 13 Arch Arch NNP A34005 1340 14 proposed propose VBN A34005 1340 15 , , , A34005 1340 16 To to IN A34005 1340 17 Radius Radius NNP A34005 1340 18 of of IN A34005 1340 19 the the DT A34005 1340 20 Line Line NNP A34005 1340 21 proposed propose VBD A34005 1340 22 So so IN A34005 1340 23 the the DT A34005 1340 24 Sine Sine NNP A34005 1340 25 of of IN A34005 1340 26 90d 90d CD A34005 1340 27 , , , A34005 1340 28 the the DT A34005 1340 29 common common JJ A34005 1340 30 Radius Radius NNP A34005 1340 31 , , , A34005 1340 32 To to IN A34005 1340 33 the the DT A34005 1340 34 length length NN A34005 1340 35 of of IN A34005 1340 36 the the DT A34005 1340 37 Secant Secant NNP A34005 1340 38 of of IN A34005 1340 39 that that DT A34005 1340 40 Arch Arch NNP A34005 1340 41 , , , A34005 1340 42 to to IN A34005 1340 43 the the DT A34005 1340 44 limitted limitte VBN A34005 1340 45 Radius Radius NNP A34005 1340 46 . . . A34005 1341 1 By by IN A34005 1341 2 the the DT A34005 1341 3 Limb Limb NNP A34005 1341 4 , , , A34005 1341 5 Lay Lay NNP A34005 1341 6 the the DT A34005 1341 7 Thread thread NN A34005 1341 8 to to IN A34005 1341 9 that that DT A34005 1341 10 Arch Arch NNP A34005 1341 11 in in IN A34005 1341 12 the the DT A34005 1341 13 Limb Limb NNP A34005 1341 14 counted count VBD A34005 1341 15 from from IN A34005 1341 16 left left JJ A34005 1341 17 edge edge NN A34005 1341 18 whereto whereto NN A34005 1341 19 you -PRON- PRP A34005 1341 20 would would MD A34005 1341 21 take take VB A34005 1341 22 out out RP A34005 1341 23 a a DT A34005 1341 24 Secant secant NN A34005 1341 25 , , , A34005 1341 26 then then RB A34005 1341 27 enter enter VB A34005 1341 28 the the DT A34005 1341 29 Limitted Limitted NNP A34005 1341 30 Radius Radius NNP A34005 1341 31 between between IN A34005 1341 32 the the DT A34005 1341 33 Scale Scale NNP A34005 1341 34 and and CC A34005 1341 35 the the DT A34005 1341 36 Thread thread NN A34005 1341 37 and and CC A34005 1341 38 the the DT A34005 1341 39 distance distance NN A34005 1341 40 of of IN A34005 1341 41 the the DT A34005 1341 42 foot foot NN A34005 1341 43 of of IN A34005 1341 44 the the DT A34005 1341 45 Compasses Compasses NNPS A34005 1341 46 from from IN A34005 1341 47 the the DT A34005 1341 48 Center Center NNP A34005 1341 49 shall shall MD A34005 1341 50 be be VB A34005 1341 51 the the DT A34005 1341 52 length length NN A34005 1341 53 of of IN A34005 1341 54 the the DT A34005 1341 55 Secant secant NN A34005 1341 56 sought seek VBD A34005 1341 57 , , , A34005 1341 58 and and CC A34005 1341 59 the the DT A34005 1341 60 Converse Converse NNP A34005 1341 61 if if IN A34005 1341 62 a a DT A34005 1341 63 Secant Secant NNP A34005 1341 64 and and CC A34005 1341 65 its -PRON- PRP$ A34005 1341 66 Radius radius NN A34005 1341 67 be be VB A34005 1341 68 given give VBN A34005 1341 69 to to TO A34005 1341 70 find find VB A34005 1341 71 the the DT A34005 1341 72 Ark Ark NNP A34005 1341 73 thereto thereto NN A34005 1341 74 enter enter VBP A34005 1341 75 the the DT A34005 1341 76 Secant Secant NNP A34005 1341 77 of of IN A34005 1341 78 90 90 CD A34005 1341 79 d d NNS A34005 1341 80 then then RB A34005 1341 81 enter enter VB A34005 1341 82 the the DT A34005 1341 83 Radius Radius NNP A34005 1341 84 of of IN A34005 1341 85 it -PRON- PRP A34005 1341 86 between between IN A34005 1341 87 the the DT A34005 1341 88 Thread Thread NNP A34005 1341 89 and and CC A34005 1341 90 the the DT A34005 1341 91 Sines Sines NNPS A34005 1341 92 , , , A34005 1341 93 and and CC A34005 1341 94 the the DT A34005 1341 95 Compasses Compasses NNPS A34005 1341 96 shews shew VBZ A34005 1341 97 the the DT A34005 1341 98 Ark Ark NNP A34005 1341 99 thereto thereto NN A34005 1341 100 , , , A34005 1341 101 if if IN A34005 1341 102 counted count VBN A34005 1341 103 from from IN A34005 1341 104 90 90 CD A34005 1341 105 d d NN A34005 1341 106 towards towards IN A34005 1341 107 the the DT A34005 1341 108 Center Center NNP A34005 1341 109 . . . A34005 1342 1 Otherways otherway NNS A34005 1342 2 . . . A34005 1343 1 Enter enter VB A34005 1343 2 the the DT A34005 1343 3 Radius Radius NNP A34005 1343 4 of of IN A34005 1343 5 the the DT A34005 1343 6 Line Line NNP A34005 1343 7 you -PRON- PRP A34005 1343 8 would would MD A34005 1343 9 devide devide VB A34005 1343 10 into into IN A34005 1343 11 Secants secant NNS A34005 1343 12 at at IN A34005 1343 13 the the DT A34005 1343 14 Cosine Cosine NNP A34005 1343 15 of of IN A34005 1343 16 that that DT A34005 1343 17 Arch arch JJ A34005 1343 18 whereto whereto NN A34005 1343 19 you -PRON- PRP A34005 1343 20 would would MD A34005 1343 21 take take VB A34005 1343 22 out out RP A34005 1343 23 a a DT A34005 1343 24 Secant secant NN A34005 1343 25 , , , A34005 1343 26 and and CC A34005 1343 27 to to IN A34005 1343 28 the the DT A34005 1343 29 other other JJ A34005 1343 30 foot foot NN A34005 1343 31 lay lie VBD A34005 1343 32 the the DT A34005 1343 33 Thread Thread NNP A34005 1343 34 then then RB A34005 1343 35 the the DT A34005 1343 36 nearest near JJS A34005 1343 37 distance distance NN A34005 1343 38 to to IN A34005 1343 39 the the DT A34005 1343 40 Thread thread NN A34005 1343 41 from from IN A34005 1343 42 the the DT A34005 1343 43 Sine Sine NNP A34005 1343 44 of of IN A34005 1343 45 90 90 CD A34005 1343 46 d d NN A34005 1343 47 is be VBZ A34005 1343 48 the the DT A34005 1343 49 length length NN A34005 1343 50 of of IN A34005 1343 51 the the DT A34005 1343 52 Secant secant NN A34005 1343 53 sought seek VBD A34005 1343 54 : : : A34005 1343 55 Thus thus RB A34005 1343 56 to to TO A34005 1343 57 get get VB A34005 1343 58 the the DT A34005 1343 59 Secant secant NN A34005 1343 60 of of IN A34005 1343 61 20 20 CD A34005 1343 62 d d NNPS A34005 1343 63 enter enter VBP A34005 1343 64 the the DT A34005 1343 65 Radius Radius NNP A34005 1343 66 limited limit VBN A34005 1343 67 in in IN A34005 1343 68 the the DT A34005 1343 69 Sine Sine NNP A34005 1343 70 of of IN A34005 1343 71 70 70 CD A34005 1343 72 d d NNS A34005 1343 73 then then RB A34005 1343 74 the the DT A34005 1343 75 nearest near JJS A34005 1343 76 distance distance NN A34005 1343 77 from from IN A34005 1343 78 90 90 CD A34005 1343 79 d d NNS A34005 1343 80 to to IN A34005 1343 81 the the DT A34005 1343 82 Thread Thread NNP A34005 1343 83 , , , A34005 1343 84 is be VBZ A34005 1343 85 the the DT A34005 1343 86 length length NN A34005 1343 87 of of IN A34005 1343 88 the the DT A34005 1343 89 Secant Secant NNP A34005 1343 90 sought seek VBD A34005 1343 91 . . . A34005 1344 1 And and CC A34005 1344 2 here here RB A34005 1344 3 it -PRON- PRP A34005 1344 4 may may MD A34005 1344 5 be be VB A34005 1344 6 noted note VBN A34005 1344 7 , , , A34005 1344 8 that that IN A34005 1344 9 if if IN A34005 1344 10 you -PRON- PRP A34005 1344 11 would would MD A34005 1344 12 have have VB A34005 1344 13 the the DT A34005 1344 14 whole whole JJ A34005 1344 15 length length NN A34005 1344 16 of of IN A34005 1344 17 the the DT A34005 1344 18 Line Line NNP A34005 1344 19 of of IN A34005 1344 20 Sines Sines NNPS A34005 1344 21 to to TO A34005 1344 22 represent represent VB A34005 1344 23 the the DT A34005 1344 24 Secant secant NN A34005 1344 25 sought seek VBD A34005 1344 26 , , , A34005 1344 27 then then RB A34005 1344 28 the the DT A34005 1344 29 Cosine Cosine NNP A34005 1344 30 of of IN A34005 1344 31 that that DT A34005 1344 32 Arch Arch NNP A34005 1344 33 which which WDT A34005 1344 34 it -PRON- PRP A34005 1344 35 represents represent VBZ A34005 1344 36 shall shall MD A34005 1344 37 be be VB A34005 1344 38 the the DT A34005 1344 39 Radius radius NN A34005 1344 40 to to IN A34005 1344 41 it -PRON- PRP A34005 1344 42 ; ; : A34005 1344 43 so so CC A34005 1344 44 the the DT A34005 1344 45 whole whole JJ A34005 1344 46 Line line NN A34005 1344 47 of of IN A34005 1344 48 Sines Sines NNPS A34005 1344 49 representing represent VBG A34005 1344 50 a a DT A34005 1344 51 Secant secant NN A34005 1344 52 of of IN A34005 1344 53 70 70 CD A34005 1344 54 d d NNS A34005 1344 55 , , , A34005 1344 56 the the DT A34005 1344 57 length length NN A34005 1344 58 of of IN A34005 1344 59 the the DT A34005 1344 60 Sine Sine NNP A34005 1344 61 of of IN A34005 1344 62 20 20 CD A34005 1344 63 d d NN A34005 1344 64 shall shall MD A34005 1344 65 be be VB A34005 1344 66 the the DT A34005 1344 67 Radius Radius NNP A34005 1344 68 thereto thereto NN A34005 1344 69 . . . A34005 1345 1 It -PRON- PRP A34005 1345 2 may may MD A34005 1345 3 also also RB A34005 1345 4 be be VB A34005 1345 5 observed observe VBN A34005 1345 6 , , , A34005 1345 7 that that IN A34005 1345 8 no no DT A34005 1345 9 Tangent Tangent NNP A34005 1345 10 or or CC A34005 1345 11 Secant secant NN A34005 1345 12 can can MD A34005 1345 13 be be VB A34005 1345 14 taken take VBN A34005 1345 15 of of IN A34005 1345 16 at at IN A34005 1345 17 once once RB A34005 1345 18 larger large JJR A34005 1345 19 then then RB A34005 1345 20 the the DT A34005 1345 21 Radius Radius NNP A34005 1345 22 of of IN A34005 1345 23 the the DT A34005 1345 24 Quadrant Quadrant NNP A34005 1345 25 , , , A34005 1345 26 nor nor CC A34005 1345 27 no no DT A34005 1345 28 Radius Radius NNP A34005 1345 29 entred entre VBD A34005 1345 30 longer long RBR A34005 1345 31 then then RB A34005 1345 32 that that DT A34005 1345 33 is be VBZ A34005 1345 34 , , , A34005 1345 35 and and CC A34005 1345 36 that that IN A34005 1345 37 if if IN A34005 1345 38 the the DT A34005 1345 39 Radius Radius NNP A34005 1345 40 entred entre VBD A34005 1345 41 be be VBP A34005 1345 42 in in IN A34005 1345 43 Length Length NNP A34005 1345 44 ½ ½ NN A34005 1345 45 ⅓ ⅓ VBZ A34005 1345 46 ¼ ¼ NN A34005 1345 47 of of IN A34005 1345 48 the the DT A34005 1345 49 Sines Sines NNP A34005 1345 50 Tangents Tangents NNP A34005 1345 51 to to IN A34005 1345 52 63 63 CD A34005 1345 53 h h NN A34005 1345 54 26′ 26′ CD A34005 1345 55 71 71 CD A34005 1345 56 34 34 CD A34005 1345 57 75 75 CD A34005 1345 58 58 58 CD A34005 1345 59 Secants secant NNS A34005 1345 60 to to IN A34005 1345 61 60d 60d NNS A34005 1345 62 ● ● . A34005 1345 63 ′ ′ ADD A34005 1345 64 70 70 CD A34005 1345 65 32 32 CD A34005 1345 66 75 75 CD A34005 1345 67 32 32 CD A34005 1345 68 may may MD A34005 1345 69 be be VB A34005 1345 70 taken take VBN A34005 1345 71 off off RP A34005 1345 72 by by IN A34005 1345 73 help help NN A34005 1345 74 of of IN A34005 1345 75 the the DT A34005 1345 76 Line Line NNP A34005 1345 77 of of IN A34005 1345 78 Sines Sines NNPS A34005 1345 79 . . . A34005 1346 1 And and CC A34005 1346 2 here here RB A34005 1346 3 it -PRON- PRP A34005 1346 4 may may MD A34005 1346 5 be be VB A34005 1346 6 observed observe VBN A34005 1346 7 , , , A34005 1346 8 That that IN A34005 1346 9 if if IN A34005 1346 10 the the DT A34005 1346 11 Tangent Tangent NNP A34005 1346 12 and and CC A34005 1346 13 Secant Secant NNP A34005 1346 14 of of IN A34005 1346 15 any any DT A34005 1346 16 Arch Arch NNP A34005 1346 17 be be VB A34005 1346 18 added add VBN A34005 1346 19 in in IN A34005 1346 20 one one CD A34005 1346 21 streight streight JJ A34005 1346 22 Line Line NNP A34005 1346 23 or or CC A34005 1346 24 otherwise otherwise RB A34005 1346 25 in in IN A34005 1346 26 Numbers Numbers NNP A34005 1346 27 , , , A34005 1346 28 the the DT A34005 1346 29 Amount Amount NNP A34005 1346 30 shall shall MD A34005 1346 31 be be VB A34005 1346 32 equal equal JJ A34005 1346 33 to to IN A34005 1346 34 the the DT A34005 1346 35 Tangent Tangent NNP A34005 1346 36 of of IN A34005 1346 37 such such JJ A34005 1346 38 Ark Ark NNP A34005 1346 39 as as IN A34005 1346 40 shall shall MD A34005 1346 41 bisect bisect VB A34005 1346 42 the the DT A34005 1346 43 remaining remain VBG A34005 1346 44 part part NN A34005 1346 45 of of IN A34005 1346 46 the the DT A34005 1346 47 Quadrant Quadrant NNP A34005 1346 48 , , , A34005 1346 49 as as IN A34005 1346 50 is be VBZ A34005 1346 51 demonstrated demonstrate VBN A34005 1346 52 in in IN A34005 1346 53 Pitiscus Pitiscus NNP A34005 1346 54 & & CC A34005 1346 55 Sn Sn NNP A34005 1346 56 ● ● NNP A34005 1346 57 llius llius NN A34005 1346 58 . . . A34005 1347 1 Whence whence IN A34005 1347 2 it -PRON- PRP A34005 1347 3 follows follow VBZ A34005 1347 4 , , , A34005 1347 5 That that IN A34005 1347 6 if if IN A34005 1347 7 we -PRON- PRP A34005 1347 8 have have VBP A34005 1347 9 a a DT A34005 1347 10 Tangent Tangent NNP A34005 1347 11 and and CC A34005 1347 12 Secant Secant NNP A34005 1347 13 no no RB A34005 1347 14 further further RB A34005 1347 15 then then RB A34005 1347 16 to to IN A34005 1347 17 60 60 CD A34005 1347 18 d d NN A34005 1347 19 each each DT A34005 1347 20 , , , A34005 1347 21 yet yet CC A34005 1347 22 a a DT A34005 1347 23 Tangent Tangent NNP A34005 1347 24 by by IN A34005 1347 25 the the DT A34005 1347 26 joint joint JJ A34005 1347 27 use use NN A34005 1347 28 of of IN A34005 1347 29 both both DT A34005 1347 30 Lines line NNS A34005 1347 31 may may MD A34005 1347 32 from from IN A34005 1347 33 them -PRON- PRP A34005 1347 34 be be VB A34005 1347 35 prickt prickt NNS A34005 1347 36 down down RP A34005 1347 37 to to IN A34005 1347 38 75 75 CD A34005 1347 39 d d NN A34005 1347 40 : : : A34005 1347 41 Wherefore wherefore NN A34005 1347 42 at at IN A34005 1347 43 anty anty NN A34005 1347 44 time time NN A34005 1347 45 to to TO A34005 1347 46 lengthen lengthen VB A34005 1347 47 the the DT A34005 1347 48 Tangents tangent NNS A34005 1347 49 double double PDT A34005 1347 50 the the DT A34005 1347 51 Arch Arch NNP A34005 1347 52 proposed propose VBN A34005 1347 53 , , , A34005 1347 54 and and CC A34005 1347 55 out out IN A34005 1347 56 of of IN A34005 1347 57 the the DT A34005 1347 58 Amount Amount NNP A34005 1347 59 reject reject NN A34005 1347 60 90 90 CD A34005 1347 61 d d NNS A34005 1347 62 ; ; : A34005 1347 63 The the DT A34005 1347 64 Tangent Tangent NNP A34005 1347 65 and and CC A34005 1347 66 Secant Secant NNP A34005 1347 67 of of IN A34005 1347 68 the the DT A34005 1347 69 remainder remainder NN A34005 1347 70 connected connect VBN A34005 1347 71 in in IN A34005 1347 72 one one CD A34005 1347 73 streight streight NN A34005 1347 74 Sine Sine NNP A34005 1347 75 shall shall MD A34005 1347 76 be be VB A34005 1347 77 the the DT A34005 1347 78 Tangent Tangent NNP A34005 1347 79 of of IN A34005 1347 80 the the DT A34005 1347 81 Arch Arch NNP A34005 1347 82 sought sought NN A34005 1347 83 . . . A34005 1348 1 Thus thus RB A34005 1348 2 to to TO A34005 1348 3 get get VB A34005 1348 4 the the DT A34005 1348 5 Tangent Tangent NNP A34005 1348 6 of of IN A34005 1348 7 70 70 CD A34005 1348 8 d d NN A34005 1348 9 the the DT A34005 1348 10 double double JJ A34005 1348 11 is be VBZ A34005 1348 12 140 140 CD A34005 1348 13 d d NN A34005 1348 14 whence whence NN A34005 1348 15 90 90 CD A34005 1348 16 d d NN A34005 1348 17 rejected reject VBN A34005 1348 18 rests rest VBZ A34005 1348 19 50 50 CD A34005 1348 20 d d NNS A34005 1348 21 ; ; : A34005 1348 22 the the DT A34005 1348 23 Tangent Tangent NNP A34005 1348 24 and and CC A34005 1348 25 Secant Secant NNP A34005 1348 26 of of IN A34005 1348 27 50 50 CD A34005 1348 28 d d NN A34005 1348 29 joined join VBN A34005 1348 30 in in IN A34005 1348 31 one one CD A34005 1348 32 streight streight JJ A34005 1348 33 Line Line NNP A34005 1348 34 shall shall MD A34005 1348 35 be be VB A34005 1348 36 the the DT A34005 1348 37 Tangent Tangent NNP A34005 1348 38 of of IN A34005 1348 39 such such PDT A34005 1348 40 an an DT A34005 1348 41 Arch Arch NNP A34005 1348 42 as as IN A34005 1348 43 bisects bisect VBZ A34005 1348 44 the the DT A34005 1348 45 remaining remain VBG A34005 1348 46 part part NN A34005 1348 47 of of IN A34005 1348 48 the the DT A34005 1348 49 Quadrant Quadrant NNP A34005 1348 50 , , , A34005 1348 51 namely namely RB A34005 1348 52 of of IN A34005 1348 53 70 70 CD A34005 1348 54 d. d. NNP A34005 1348 55 It -PRON- PRP A34005 1348 56 may may MD A34005 1348 57 also also RB A34005 1348 58 be be VB A34005 1348 59 observed observe VBN A34005 1348 60 , , , A34005 1348 61 That that IN A34005 1348 62 the the DT A34005 1348 63 Tangent Tangent NNP A34005 1348 64 of of IN A34005 1348 65 an an DT A34005 1348 66 Ark Ark NNP A34005 1348 67 , , , A34005 1348 68 and and CC A34005 1348 69 the the DT A34005 1348 70 Tangent Tangent NNP A34005 1348 71 of of IN A34005 1348 72 half half PDT A34005 1348 73 its -PRON- PRP$ A34005 1348 74 Complement Complement NNP A34005 1348 75 is be VBZ A34005 1348 76 equal equal JJ A34005 1348 77 to to IN A34005 1348 78 the the DT A34005 1348 79 Secant secant NN A34005 1348 80 of of IN A34005 1348 81 that that DT A34005 1348 82 Arch Arch NNP A34005 1348 83 as as IN A34005 1348 84 is be VBZ A34005 1348 85 obvious obvious JJ A34005 1348 86 in in IN A34005 1348 87 drawing drawing NN A34005 1348 88 of of IN A34005 1348 89 any any DT A34005 1348 90 Projection Projection NNP A34005 1348 91 . . . A34005 1349 1 A a DT A34005 1349 2 Chord Chord NNP A34005 1349 3 may may MD A34005 1349 4 also also RB A34005 1349 5 be be VB A34005 1349 6 taken take VBN A34005 1349 7 off off RP A34005 1349 8 from from IN A34005 1349 9 the the DT A34005 1349 10 Line Line NNP A34005 1349 11 of of IN A34005 1349 12 Sines Sines NNPS A34005 1349 13 , , , A34005 1349 14 but but CC A34005 1349 15 more more RBR A34005 1349 16 facilly facilly RB A34005 1349 17 by by IN A34005 1349 18 the the DT A34005 1349 19 Line Line NNP A34005 1349 20 of of IN A34005 1349 21 Chords Chords NNPS A34005 1349 22 on on IN A34005 1349 23 the the DT A34005 1349 24 left left JJ A34005 1349 25 edge edge NN A34005 1349 26 of of IN A34005 1349 27 the the DT A34005 1349 28 Quadrant Quadrant NNP A34005 1349 29 , , , A34005 1349 30 and and CC A34005 1349 31 is be VBZ A34005 1349 32 therefore therefore RB A34005 1349 33 pretermitted pretermitted JJ A34005 1349 34 . . . A34005 1350 1 To to TO A34005 1350 2 work work VB A34005 1350 3 Proportions Proportions NNP A34005 1350 4 in in IN A34005 1350 5 Sines Sines NNPS A34005 1350 6 alone alone JJ A34005 1350 7 . . . A34005 1351 1 Frst frst RB A34005 1351 2 , , , A34005 1351 3 Without without IN A34005 1351 4 the the DT A34005 1351 5 help help NN A34005 1351 6 of of IN A34005 1351 7 the the DT A34005 1351 8 Limb Limb NNP A34005 1351 9 or or CC A34005 1351 10 lesser less JJR A34005 1351 11 Sines Sines NNP A34005 1351 12 without without IN A34005 1351 13 introducing introduce VBG A34005 1351 14 the the DT A34005 1351 15 Radius Radius NNP A34005 1351 16 , , , A34005 1351 17 but but CC A34005 1351 18 upon upon IN A34005 1351 19 this this DT A34005 1351 20 Line Line NNP A34005 1351 21 alone alone RB A34005 1351 22 independently independently RB A34005 1351 23 . . . A34005 1352 1 There there EX A34005 1352 2 will will MD A34005 1352 3 be be VB A34005 1352 4 two two CD A34005 1352 5 Cases case NNS A34005 1352 6 , , , A34005 1352 7 1 1 CD A34005 1352 8 . . . A34005 1353 1 If if IN A34005 1353 2 the the DT A34005 1353 3 first first JJ A34005 1353 4 Tearm Tearm NNP A34005 1353 5 be be VB A34005 1353 6 greater great JJR A34005 1353 7 then then RB A34005 1353 8 the the DT A34005 1353 9 second second JJ A34005 1353 10 , , , A34005 1353 11 the the DT A34005 1353 12 entrance entrance NN A34005 1353 13 is be VBZ A34005 1353 14 lateral lateral JJ A34005 1353 15 ; ; : A34005 1353 16 Enter enter VB A34005 1353 17 the the DT A34005 1353 18 second second JJ A34005 1353 19 Tearm Tearm NNP A34005 1353 20 upon upon IN A34005 1353 21 the the DT A34005 1353 22 first first JJ A34005 1353 23 , , , A34005 1353 24 laying lay VBG A34005 1353 25 the the DT A34005 1353 26 Thread thread NN A34005 1353 27 to to IN A34005 1353 28 the the DT A34005 1353 29 other other JJ A34005 1353 30 foot foot NN A34005 1353 31 . . . A34005 1354 1 Then then RB A34005 1354 2 from from IN A34005 1354 3 the the DT A34005 1354 4 third third JJ A34005 1354 5 Tearm Tearm NNP A34005 1354 6 in in IN A34005 1354 7 the the DT A34005 1354 8 Scale Scale NNP A34005 1354 9 take take VB A34005 1354 10 the the DT A34005 1354 11 nearest near JJS A34005 1354 12 distance distance NN A34005 1354 13 to to IN A34005 1354 14 the the DT A34005 1354 15 Thread thread NN A34005 1354 16 , , , A34005 1354 17 and and CC A34005 1354 18 measure measure VB A34005 1354 19 that that DT A34005 1354 20 Extent extent NN A34005 1354 21 from from IN A34005 1354 22 the the DT A34005 1354 23 Center Center NNP A34005 1354 24 , , , A34005 1354 25 and and CC A34005 1354 26 it -PRON- PRP A34005 1354 27 shews shew VBZ A34005 1354 28 the the DT A34005 1354 29 Tearm Tearm NNP A34005 1354 30 sought seek VBD A34005 1354 31 , , , A34005 1354 32 and and CC A34005 1354 33 so so RB A34005 1354 34 if if IN A34005 1354 35 it -PRON- PRP A34005 1354 36 were be VBD A34005 1354 37 , , , A34005 1354 38 As as IN A34005 1354 39 Sine Sine NNP A34005 1354 40 30d 30d NNS A34005 1354 41 , , , A34005 1354 42 To to IN A34005 1354 43 Sine Sine NNP A34005 1354 44 10d 10d NNS A34005 1354 45 : : : A34005 1354 46 So so RB A34005 1354 47 Sine Sine NNP A34005 1354 48 80d 80d NNS A34005 1354 49 , , , A34005 1354 50 the the DT A34005 1354 51 fourth fourth JJ A34005 1354 52 Proportional Proportional NNP A34005 1354 53 would would MD A34005 1354 54 be be VB A34005 1354 55 found find VBN A34005 1354 56 to to TO A34005 1354 57 be be VB A34005 1354 58 20d 20d NNS A34005 1354 59 . . . A34005 1355 1 In in IN A34005 1355 2 giving give VBG A34005 1355 3 Examples Examples NNPS A34005 1355 4 to to TO A34005 1355 5 illustrate illustrate VB A34005 1355 6 the the DT A34005 1355 7 matter matter NN A34005 1355 8 , , , A34005 1355 9 I -PRON- PRP A34005 1355 10 shall shall MD A34005 1355 11 make make VB A34005 1355 12 use use NN A34005 1355 13 of of IN A34005 1355 14 that that DT A34005 1355 15 noted note VBD A34005 1355 16 Canon Canon NNP A34005 1355 17 for for IN A34005 1355 18 making make VBG A34005 1355 19 the the DT A34005 1355 20 Tables Tables NNPS A34005 1355 21 , , , A34005 1355 22 As as IN A34005 1355 23 the the DT A34005 1355 24 Semiradius Semiradius NNP A34005 1355 25 , , , A34005 1355 26 or or CC A34005 1355 27 Sine Sine NNP A34005 1355 28 of of IN A34005 1355 29 30d 30d NNS A34005 1355 30 , , , A34005 1355 31 To to IN A34005 1355 32 the the DT A34005 1355 33 Sine Sine NNP A34005 1355 34 of of IN A34005 1355 35 any any DT A34005 1355 36 Arch Arch NNP A34005 1355 37 : : : A34005 1355 38 So so CC A34005 1355 39 the the DT A34005 1355 40 Cosine Cosine NNP A34005 1355 41 of of IN A34005 1355 42 that that DT A34005 1355 43 Arch Arch NNP A34005 1355 44 , , , A34005 1355 45 To to IN A34005 1355 46 the the DT A34005 1355 47 Sine Sine NNP A34005 1355 48 of of IN A34005 1355 49 that that DT A34005 1355 50 Arch Arch NNP A34005 1355 51 doubled double VBD A34005 1355 52 . . . A34005 1356 1 But but CC A34005 1356 2 when when WRB A34005 1356 3 the the DT A34005 1356 4 first first JJ A34005 1356 5 Tearm Tearm NNP A34005 1356 6 is be VBZ A34005 1356 7 less less JJR A34005 1356 8 then then RB A34005 1356 9 the the DT A34005 1356 10 second second JJ A34005 1356 11 , , , A34005 1356 12 Enter enter VB A34005 1356 13 the the DT A34005 1356 14 length length NN A34005 1356 15 of of IN A34005 1356 16 the the DT A34005 1356 17 first first JJ A34005 1356 18 Tearm Tearm NNP A34005 1356 19 upon upon IN A34005 1356 20 the the DT A34005 1356 21 second second JJ A34005 1356 22 , , , A34005 1356 23 laying lay VBG A34005 1356 24 the the DT A34005 1356 25 Thread thread NN A34005 1356 26 to to IN A34005 1356 27 the the DT A34005 1356 28 other other JJ A34005 1356 29 foot foot NN A34005 1356 30 of of IN A34005 1356 31 that that DT A34005 1356 32 Extent extent NN A34005 1356 33 , , , A34005 1356 34 then then RB A34005 1356 35 enter enter VB A34005 1356 36 the the DT A34005 1356 37 third third JJ A34005 1356 38 Tearm Tearm NNP A34005 1356 39 Parralelly Parralelly NNP A34005 1356 40 between between IN A34005 1356 41 the the DT A34005 1356 42 Scale Scale NNP A34005 1356 43 and and CC A34005 1356 44 the the DT A34005 1356 45 Thread thread NN A34005 1356 46 , , , A34005 1356 47 and and CC A34005 1356 48 it -PRON- PRP A34005 1356 49 shews shew VBZ A34005 1356 50 the the DT A34005 1356 51 fourth fourth JJ A34005 1356 52 Proportional Proportional NNP A34005 1356 53 sought seek VBD A34005 1356 54 . . . A34005 1357 1 So so CC A34005 1357 2 if if IN A34005 1357 3 it -PRON- PRP A34005 1357 4 were be VBD A34005 1357 5 , , , A34005 1357 6 As as IN A34005 1357 7 the the DT A34005 1357 8 Sine Sine NNP A34005 1357 9 of of IN A34005 1357 10 10d 10d NNS A34005 1357 11 , , , A34005 1357 12 To to IN A34005 1357 13 the the DT A34005 1357 14 Sine Sine NNP A34005 1357 15 of of IN A34005 1357 16 30d 30d NNS A34005 1357 17 : : : A34005 1357 18 So so CC A34005 1357 19 the the DT A34005 1357 20 Sine Sine NNP A34005 1357 21 of of IN A34005 1357 22 20d 20d NNS A34005 1357 23 , , , A34005 1357 24 To to IN A34005 1357 25 a a DT A34005 1357 26 fourth fourth JJ A34005 1357 27 , , , A34005 1357 28 the the DT A34005 1357 29 4th 4th JJ A34005 1357 30 Proportional Proportional NNP A34005 1357 31 would would MD A34005 1357 32 be be VB A34005 1357 33 found find VBN A34005 1357 34 to to TO A34005 1357 35 be be VB A34005 1357 36 80 80 CD A34005 1357 37 d. d. NN A34005 1357 38 Another another DT A34005 1357 39 general general JJ A34005 1357 40 way way NN A34005 1357 41 will will MD A34005 1357 42 be be VB A34005 1357 43 to to TO A34005 1357 44 do do VB A34005 1357 45 it -PRON- PRP A34005 1357 46 by by IN A34005 1357 47 help help NN A34005 1357 48 of of IN A34005 1357 49 the the DT A34005 1357 50 Limb Limb NNP A34005 1357 51 , , , A34005 1357 52 by by IN A34005 1357 53 introducing introduce VBG A34005 1357 54 the the DT A34005 1357 55 Radius Radius NNP A34005 1357 56 in in IN A34005 1357 57 such such JJ A34005 1357 58 Proportions proportion NNS A34005 1357 59 wherein wherein WRB A34005 1357 60 it -PRON- PRP A34005 1357 61 is be VBZ A34005 1357 62 not not RB A34005 1357 63 Lay Lay NNP A34005 1357 64 the the DT A34005 1357 65 Thread thread NN A34005 1357 66 to to IN A34005 1357 67 one one CD A34005 1357 68 of of IN A34005 1357 69 the the DT A34005 1357 70 middle middle JJ A34005 1357 71 Tearms Tearms NNPS A34005 1357 72 in in IN A34005 1357 73 the the DT A34005 1357 74 Limbe Limbe NNP A34005 1357 75 , , , A34005 1357 76 and and CC A34005 1357 77 from from IN A34005 1357 78 the the DT A34005 1357 79 other other JJ A34005 1357 80 middle middle JJ A34005 1357 81 Tearm Tearm NNP A34005 1357 82 on on IN A34005 1357 83 the the DT A34005 1357 84 Line Line NNP A34005 1357 85 of of IN A34005 1357 86 Sines Sines NNPS A34005 1357 87 take take VB A34005 1357 88 the the DT A34005 1357 89 nearest near JJS A34005 1357 90 distance distance NN A34005 1357 91 to to IN A34005 1357 92 it -PRON- PRP A34005 1357 93 , , , A34005 1357 94 then then RB A34005 1357 95 enter enter VB A34005 1357 96 one one CD A34005 1357 97 foot foot NN A34005 1357 98 of of IN A34005 1357 99 that that DT A34005 1357 100 extent extent NN A34005 1357 101 at at IN A34005 1357 102 the the DT A34005 1357 103 first first JJ A34005 1357 104 Tearm Tearm NNP A34005 1357 105 on on IN A34005 1357 106 the the DT A34005 1357 107 Line Line NNP A34005 1357 108 of of IN A34005 1357 109 Sines Sines NNPS A34005 1357 110 , , , A34005 1357 111 and and CC A34005 1357 112 lay lie VBD A34005 1357 113 the the DT A34005 1357 114 Thread thread NN A34005 1357 115 to to IN A34005 1357 116 the the DT A34005 1357 117 other other JJ A34005 1357 118 foot foot NN A34005 1357 119 , , , A34005 1357 120 and and CC A34005 1357 121 in in IN A34005 1357 122 the the DT A34005 1357 123 Limbe Limbe NNP A34005 1357 124 it -PRON- PRP A34005 1357 125 shews shew VBZ A34005 1357 126 the the DT A34005 1357 127 4th 4th JJ A34005 1357 128 Proportional Proportional NNP A34005 1357 129 sought seek VBD A34005 1357 130 . . . A34005 1358 1 Example example NN A34005 1358 2 . . . A34005 1359 1 If if IN A34005 1359 2 the the DT A34005 1359 3 three three CD A34005 1359 4 Proportionals Proportionals NNPS A34005 1359 5 were be VBD A34005 1359 6 , , , A34005 1359 7 As as IN A34005 1359 8 Sine Sine NNP A34005 1359 9 55 55 CD A34005 1359 10 d d CD A34005 1359 11 , , , A34005 1359 12 To to IN A34005 1359 13 Sine Sine NNP A34005 1359 14 70 70 CD A34005 1359 15 d d XX A34005 1359 16 : : : A34005 1359 17 So so RB A34005 1359 18 Sine Sine NNP A34005 1359 19 30 30 CD A34005 1359 20 d d CD A34005 1359 21 , , , A34005 1359 22 To to IN A34005 1359 23 a a DT A34005 1359 24 fourth fourth JJ A34005 1359 25 , , , A34005 1359 26 the the DT A34005 1359 27 fourth fourth JJ A34005 1359 28 Proportional Proportional NNP A34005 1359 29 would would MD A34005 1359 30 be be VB A34005 1359 31 found find VBN A34005 1359 32 to to TO A34005 1359 33 be be VB A34005 1359 34 35 35 CD A34005 1359 35 d. d. NN A34005 1359 36 But but CC A34005 1359 37 if if IN A34005 1359 38 the the DT A34005 1359 39 first first JJ A34005 1359 40 Tearm Tearm NNP A34005 1359 41 of of IN A34005 1359 42 the the DT A34005 1359 43 Proportion Proportion NNP A34005 1359 44 be be VB A34005 1359 45 either either CC A34005 1359 46 a a DT A34005 1359 47 small small JJ A34005 1359 48 Ark Ark NNP A34005 1359 49 or or CC A34005 1359 50 the the DT A34005 1359 51 answer answer NN A34005 1359 52 above above IN A34005 1359 53 70 70 CD A34005 1359 54 d d NNS A34005 1359 55 , , , A34005 1359 56 the the DT A34005 1359 57 latter latter JJ A34005 1359 58 part part NN A34005 1359 59 of of IN A34005 1359 60 this this DT A34005 1359 61 general general JJ A34005 1359 62 direction direction NN A34005 1359 63 for for IN A34005 1359 64 more more JJR A34005 1359 65 certainty certainty NN A34005 1359 66 may may MD A34005 1359 67 be be VB A34005 1359 68 turned turn VBN A34005 1359 69 into into IN A34005 1359 70 a a DT A34005 1359 71 Parralel Parralel NNP A34005 1359 72 entrance entrance NN A34005 1359 73 , , , A34005 1359 74 that that DT A34005 1359 75 is be VBZ A34005 1359 76 to to TO A34005 1359 77 say say VB A34005 1359 78 instead instead RB A34005 1359 79 of of IN A34005 1359 80 entring entre VBG A34005 1359 81 the the DT A34005 1359 82 Extent extent NN A34005 1359 83 taken take VBN A34005 1359 84 from from IN A34005 1359 85 one one CD A34005 1359 86 of of IN A34005 1359 87 the the DT A34005 1359 88 middle middle JJ A34005 1359 89 Tearms Tearms NNPS A34005 1359 90 in in IN A34005 1359 91 the the DT A34005 1359 92 Sines Sines NNPS A34005 1359 93 to to IN A34005 1359 94 the the DT A34005 1359 95 Thread thread NN A34005 1359 96 laid lay VBN A34005 1359 97 over over IN A34005 1359 98 the the DT A34005 1359 99 other other JJ A34005 1359 100 middle middle JJ A34005 1359 101 Tearm Tearm NNP A34005 1359 102 in in IN A34005 1359 103 the the DT A34005 1359 104 Limb Limb NNP A34005 1359 105 , , , A34005 1359 106 and and CC A34005 1359 107 entring entre VBG A34005 1359 108 it -PRON- PRP A34005 1359 109 at at IN A34005 1359 110 the the DT A34005 1359 111 first first JJ A34005 1359 112 Tearm Tearm NNP A34005 1359 113 in in IN A34005 1359 114 the the DT A34005 1359 115 Sines Sines NNP A34005 1359 116 finding find VBG A34005 1359 117 the the DT A34005 1359 118 Answer answer NN A34005 1359 119 in in IN A34005 1359 120 the the DT A34005 1359 121 Limb Limb NNP A34005 1359 122 lay lie VBD A34005 1359 123 , , , A34005 1359 124 the the DT A34005 1359 125 Thread thread NN A34005 1359 126 to to IN A34005 1359 127 the the DT A34005 1359 128 first first JJ A34005 1359 129 Tearm Tearm NNP A34005 1359 130 in in IN A34005 1359 131 the the DT A34005 1359 132 Limb Limb NNP A34005 1359 133 , , , A34005 1359 134 and and CC A34005 1359 135 find find VB A34005 1359 136 the the DT A34005 1359 137 Answer answer NN A34005 1359 138 in in IN A34005 1359 139 the the DT A34005 1359 140 Line Line NNP A34005 1359 141 of of IN A34005 1359 142 Sines Sines NNPS A34005 1359 143 by by IN A34005 1359 144 , , , A34005 1359 145 entring entre VBG A34005 1359 146 the the DT A34005 1359 147 former former JJ A34005 1359 148 extent extent NN A34005 1359 149 parralelly parralelly RB A34005 1359 150 between between IN A34005 1359 151 the the DT A34005 1359 152 Scale Scale NNP A34005 1359 153 and and CC A34005 1359 154 the the DT A34005 1359 155 Thread thread NN A34005 1359 156 . . . A34005 1360 1 What what WP A34005 1360 2 hath hath NNP A34005 1360 3 been be VBN A34005 1360 4 spoken speak VBN A34005 1360 5 concerning concern VBG A34005 1360 6 the the DT A34005 1360 7 Limb Limb NNP A34005 1360 8 may may MD A34005 1360 9 also also RB A34005 1360 10 be be VB A34005 1360 11 performed perform VBN A34005 1360 12 by by IN A34005 1360 13 the the DT A34005 1360 14 Line Line NNP A34005 1360 15 of of IN A34005 1360 16 lesser less JJR A34005 1360 17 Sines Sines NNPS A34005 1360 18 in in IN A34005 1360 19 the the DT A34005 1360 20 Limb Limb NNP A34005 1360 21 by by IN A34005 1360 22 the the DT A34005 1360 23 same same JJ A34005 1360 24 Directions direction NNS A34005 1360 25 . . . A34005 1361 1 So so CC A34005 1361 2 if if IN A34005 1361 3 it -PRON- PRP A34005 1361 4 were be VBD A34005 1361 5 , , , A34005 1361 6 As as IN A34005 1361 7 the the DT A34005 1361 8 Sine Sine NNP A34005 1361 9 of of IN A34005 1361 10 5d 5d CD A34005 1361 11 , , , A34005 1361 12 To to IN A34005 1361 13 Sine Sine NNP A34005 1361 14 30d 30d NNS A34005 1361 15 : : : A34005 1361 16 So so CC A34005 1361 17 the the DT A34005 1361 18 Sine Sine NNP A34005 1361 19 of of IN A34005 1361 20 10d 10d NNS A34005 1361 21 To to IN A34005 1361 22 a a DT A34005 1361 23 fourth fourth JJ A34005 1361 24 , , , A34005 1361 25 the the DT A34005 1361 26 4th 4th JJ A34005 1361 27 Proportional Proportional NNP A34005 1361 28 would would MD A34005 1361 29 be be VB A34005 1361 30 found find VBN A34005 1361 31 to to TO A34005 1361 32 be be VB A34005 1361 33 the the DT A34005 1361 34 Sine Sine NNP A34005 1361 35 of of IN A34005 1361 36 85d 85d NNS A34005 1361 37 , , , A34005 1361 38 and and CC A34005 1361 39 the the DT A34005 1361 40 Operation operation NN A34005 1361 41 best well RBS A34005 1361 42 performed perform VBN A34005 1361 43 by by IN A34005 1361 44 the the DT A34005 1361 45 joint joint JJ A34005 1361 46 use use NN A34005 1361 47 of of IN A34005 1361 48 the the DT A34005 1361 49 Line Line NNP A34005 1361 50 of of IN A34005 1361 51 Sines Sines NNPS A34005 1361 52 , , , A34005 1361 53 and and CC A34005 1361 54 the the DT A34005 1361 55 lesser less JJR A34005 1361 56 Sines Sines NNP A34005 1361 57 by by IN A34005 1361 58 making make VBG A34005 1361 59 the the DT A34005 1361 60 latter latter JJ A34005 1361 61 entrance entrance NN A34005 1361 62 a a DT A34005 1361 63 Parralel Parralel NNP A34005 1361 64 entrance entrance NN A34005 1361 65 . . . A34005 1362 1 When when WRB A34005 1362 2 the the DT A34005 1362 3 Radius Radius NNP A34005 1362 4 is be VBZ A34005 1362 5 in in IN A34005 1362 6 the the DT A34005 1362 7 third third JJ A34005 1362 8 place place NN A34005 1362 9 of of IN A34005 1362 10 a a DT A34005 1362 11 Proportion Proportion NNP A34005 1362 12 in in IN A34005 1362 13 Sines Sines NNPS A34005 1362 14 of of IN A34005 1362 15 a a DT A34005 1362 16 greater great JJR A34005 1362 17 to to IN A34005 1362 18 a a DT A34005 1362 19 less less JJR A34005 1362 20 ▪ ▪ NN A34005 1362 21 the the DT A34005 1362 22 Operation operation NN A34005 1362 23 is be VBZ A34005 1362 24 but but CC A34005 1362 25 half half RB A34005 1362 26 so so RB A34005 1362 27 much much RB A34005 1362 28 as as IN A34005 1362 29 when when WRB A34005 1362 30 it -PRON- PRP A34005 1362 31 is be VBZ A34005 1362 32 not not RB A34005 1362 33 ingredient ingredient JJ A34005 1362 34 . . . A34005 1363 1 Example example NN A34005 1363 2 . . . A34005 1364 1 As as IN A34005 1364 2 the the DT A34005 1364 3 Cosine Cosine NNP A34005 1364 4 of of IN A34005 1364 5 the the DT A34005 1364 6 Latitude Latitude NNP A34005 1364 7 , , , A34005 1364 8 To to IN A34005 1364 9 the the DT A34005 1364 10 Sine Sine NNP A34005 1364 11 of of IN A34005 1364 12 the the DT A34005 1364 13 Declination Declination NNP A34005 1364 14 , , , A34005 1364 15 So so RB A34005 1364 16 the the DT A34005 1364 17 Radius Radius NNP A34005 1364 18 , , , A34005 1364 19 To to IN A34005 1364 20 the the DT A34005 1364 21 Sine Sine NNP A34005 1364 22 of of IN A34005 1364 23 the the DT A34005 1364 24 Suns Suns NNPS A34005 1364 25 Amplitude Amplitude NNP A34005 1364 26 . . . A34005 1365 1 If if IN A34005 1365 2 the the DT A34005 1365 3 Suns Suns NNPS A34005 1365 4 declination declination NN A34005 1365 5 were be VBD A34005 1365 6 13d 13d NNS A34005 1365 7 , , , A34005 1365 8 to to TO A34005 1365 9 find find VB A34005 1365 10 his -PRON- PRP$ A34005 1365 11 Amplitude Amplitude NNP A34005 1365 12 in in IN A34005 1365 13 our -PRON- PRP$ A34005 1365 14 Latitude Latitude NNP A34005 1365 15 for for IN A34005 1365 16 London London NNP A34005 1365 17 , , , A34005 1365 18 take take VB A34005 1365 19 the the DT A34005 1365 20 Sine Sine NNP A34005 1365 21 of of IN A34005 1365 22 13d 13d NNPS A34005 1365 23 and and CC A34005 1365 24 enter enter VB A34005 1365 25 one one CD A34005 1365 26 foot foot NN A34005 1365 27 of of IN A34005 1365 28 it -PRON- PRP A34005 1365 29 on on IN A34005 1365 30 the the DT A34005 1365 31 Sine Sine NNP A34005 1365 32 of of IN A34005 1365 33 38d 38d CD A34005 1365 34 28′ 28′ CD A34005 1365 35 and and CC A34005 1365 36 to to IN A34005 1365 37 the the DT A34005 1365 38 other other JJ A34005 1365 39 foot foot NN A34005 1365 40 lay lie VBD A34005 1365 41 the the DT A34005 1365 42 Thread thread NN A34005 1365 43 , , , A34005 1365 44 and and CC A34005 1365 45 in in IN A34005 1365 46 the the DT A34005 1365 47 Limb Limb NNP A34005 1365 48 it -PRON- PRP A34005 1365 49 shews shew VBZ A34005 1365 50 the the DT A34005 1365 51 Amplitude Amplitude NNP A34005 1365 52 sought seek VBD A34005 1365 53 to to TO A34005 1365 54 be be VB A34005 1365 55 21d 21d NNS A34005 1365 56 12′ 12′ CD A34005 1365 57 . . . A34005 1366 1 By by IN A34005 1366 2 changing change VBG A34005 1366 3 the the DT A34005 1366 4 places place NNS A34005 1366 5 of of IN A34005 1366 6 the the DT A34005 1366 7 two two CD A34005 1366 8 middle middle JJ A34005 1366 9 Tearms Tearms NNPS A34005 1366 10 , , , A34005 1366 11 this this DT A34005 1366 12 Example example NN A34005 1366 13 will will MD A34005 1366 14 be be VB A34005 1366 15 turned turn VBN A34005 1366 16 into into IN A34005 1366 17 a a DT A34005 1366 18 Parralel Parralel NNP A34005 1366 19 entrance entrance NN A34005 1366 20 . . . A34005 1367 1 Lay lay VB A34005 1367 2 the the DT A34005 1367 3 Thread thread NN A34005 1367 4 to to IN A34005 1367 5 the the DT A34005 1367 6 Complement Complement NNP A34005 1367 7 of of IN A34005 1367 8 the the DT A34005 1367 9 Latitude Latitude NNP A34005 1367 10 in in IN A34005 1367 11 the the DT A34005 1367 12 Limb Limb NNP A34005 1367 13 , , , A34005 1367 14 and and CC A34005 1367 15 enter enter VB A34005 1367 16 the the DT A34005 1367 17 Sine Sine NNP A34005 1367 18 of of IN A34005 1367 19 the the DT A34005 1367 20 Declination declination NN A34005 1367 21 between between IN A34005 1367 22 it -PRON- PRP A34005 1367 23 and and CC A34005 1367 24 the the DT A34005 1367 25 Scale Scale NNP A34005 1367 26 , , , A34005 1367 27 and and CC A34005 1367 28 you -PRON- PRP A34005 1367 29 will will MD A34005 1367 30 find find VB A34005 1367 31 the the DT A34005 1367 32 same same JJ A34005 1367 33 Ark Ark NNP A34005 1367 34 in in IN A34005 1367 35 the the DT A34005 1367 36 Sines Sines NNPS A34005 1367 37 for for IN A34005 1367 38 the the DT A34005 1367 39 Amplitude Amplitude NNP A34005 1367 40 sought seek VBD A34005 1367 41 , , , A34005 1367 42 as as IN A34005 1367 43 was be VBD A34005 1367 44 before before RB A34005 1367 45 found find VBN A34005 1367 46 in in IN A34005 1367 47 the the DT A34005 1367 48 Limb Limb NNP A34005 1367 49 . . . A34005 1368 1 Such such JJ A34005 1368 2 Proportions Proportions NNP A34005 1368 3 of of IN A34005 1368 4 the the DT A34005 1368 5 greater great JJR A34005 1368 6 to to IN A34005 1368 7 the the DT A34005 1368 8 less less RBR A34005 1368 9 wherein wherein WRB A34005 1368 10 the the DT A34005 1368 11 Radius Radius NNP A34005 1368 12 is be VBZ A34005 1368 13 not not RB A34005 1368 14 ingredient ingredient JJ A34005 1368 15 , , , A34005 1368 16 that that WDT A34005 1368 17 have have VBP A34005 1368 18 two two CD A34005 1368 19 fixed fix VBN A34005 1368 20 or or CC A34005 1368 21 constant constant JJ A34005 1368 22 Tearms tearm NNS A34005 1368 23 , , , A34005 1368 24 may may MD A34005 1368 25 be be VB A34005 1368 26 most most RBS A34005 1368 27 readily readily RB A34005 1368 28 performed perform VBN A34005 1368 29 by by IN A34005 1368 30 the the DT A34005 1368 31 single single JJ A34005 1368 32 Line Line NNP A34005 1368 33 of of IN A34005 1368 34 Sines Sines NNPS A34005 1368 35 without without IN A34005 1368 36 the the DT A34005 1368 37 help help NN A34005 1368 38 of of IN A34005 1368 39 the the DT A34005 1368 40 Limb Limb NNP A34005 1368 41 . . . A34005 1369 1 An an DT A34005 1369 2 Example Example NNP A34005 1369 3 for for IN A34005 1369 4 finding find VBG A34005 1369 5 the the DT A34005 1369 6 Suns Suns NNPS A34005 1369 7 Amplitude Amplitude NNP A34005 1369 8 . . . A34005 1370 1 As as IN A34005 1370 2 the the DT A34005 1370 3 Cosine Cosine NNP A34005 1370 4 of of IN A34005 1370 5 the the DT A34005 1370 6 Latitude Latitude NNP A34005 1370 7 , , , A34005 1370 8 To to IN A34005 1370 9 the the DT A34005 1370 10 Sine Sine NNP A34005 1370 11 of of IN A34005 1370 12 the the DT A34005 1370 13 Suns Suns NNPS A34005 1370 14 greatest great JJS A34005 1370 15 declination declination NN A34005 1370 16 : : : A34005 1370 17 So so CC A34005 1370 18 the the DT A34005 1370 19 Sine Sine NNP A34005 1370 20 of of IN A34005 1370 21 the the DT A34005 1370 22 Suns Suns NNP A34005 1370 23 distance distance NN A34005 1370 24 from from IN A34005 1370 25 the the DT A34005 1370 26 next next JJ A34005 1370 27 Equinoctial Equinoctial NNP A34005 1370 28 Point Point NNP A34005 1370 29 , , , A34005 1370 30 To to IN A34005 1370 31 the the DT A34005 1370 32 Sine Sine NNP A34005 1370 33 of of IN A34005 1370 34 the the DT A34005 1370 35 Suns Suns NNPS A34005 1370 36 Amplitude Amplitude NNP A34005 1370 37 . . . A34005 1371 1 Because because IN A34005 1371 2 the the DT A34005 1371 3 two two CD A34005 1371 4 first first JJ A34005 1371 5 Tearms tearm NNS A34005 1371 6 of of IN A34005 1371 7 this this DT A34005 1371 8 Proportion proportion NN A34005 1371 9 are be VBP A34005 1371 10 fixed fix VBN A34005 1371 11 , , , A34005 1371 12 the the DT A34005 1371 13 Amplitude Amplitude NNP A34005 1371 14 answerable answerable JJ A34005 1371 15 to to IN A34005 1371 16 every every DT A34005 1371 17 degree degree NN A34005 1371 18 of of IN A34005 1371 19 the the DT A34005 1371 20 Suns Suns NNP A34005 1371 21 place place NN A34005 1371 22 may may MD A34005 1371 23 be be VB A34005 1371 24 found find VBN A34005 1371 25 without without IN A34005 1371 26 removing remove VBG A34005 1371 27 the the DT A34005 1371 28 Thread thread NN A34005 1371 29 ; ; : A34005 1371 30 To to TO A34005 1371 31 do do VB A34005 1371 32 it -PRON- PRP A34005 1371 33 enter enter VB A34005 1371 34 the the DT A34005 1371 35 Sine Sine NNP A34005 1371 36 of of IN A34005 1371 37 the the DT A34005 1371 38 Suns Suns NNPS A34005 1371 39 greatest great JJS A34005 1371 40 Declination Declination NNP A34005 1371 41 23d 23d CD A34005 1371 42 31′ 31′ CD A34005 1371 43 , , , A34005 1371 44 at at IN A34005 1371 45 the the DT A34005 1371 46 Sine Sine NNP A34005 1371 47 of of IN A34005 1371 48 the the DT A34005 1371 49 Latitudes Latitudes NNP A34005 1371 50 Complement Complement NNP A34005 1371 51 , , , A34005 1371 52 and and CC A34005 1371 53 to to IN A34005 1371 54 the the DT A34005 1371 55 other other JJ A34005 1371 56 foot foot NN A34005 1371 57 lay lie VBD A34005 1371 58 the the DT A34005 1371 59 Thread Thread NNP A34005 1371 60 , , , A34005 1371 61 where where WRB A34005 1371 62 keep keep VB A34005 1371 63 it -PRON- PRP A34005 1371 64 without without IN A34005 1371 65 alteration alteration NN A34005 1371 66 , , , A34005 1371 67 then then RB A34005 1371 68 for for IN A34005 1371 69 every every DT A34005 1371 70 degree degree NN A34005 1371 71 of of IN A34005 1371 72 the the DT A34005 1371 73 Suns Suns NNP A34005 1371 74 place place NN A34005 1371 75 counted count VBN A34005 1371 76 in in IN A34005 1371 77 the the DT A34005 1371 78 Sines Sines NNPS A34005 1371 79 take take VB A34005 1371 80 the the DT A34005 1371 81 nearest near JJS A34005 1371 82 distance distance NN A34005 1371 83 to to IN A34005 1371 84 the the DT A34005 1371 85 Thread thread NN A34005 1371 86 , , , A34005 1371 87 and and CC A34005 1371 88 measure measure VB A34005 1371 89 those those DT A34005 1371 90 extents extent NNS A34005 1371 91 down down IN A34005 1371 92 the the DT A34005 1371 93 Line Line NNP A34005 1371 94 of of IN A34005 1371 95 Sines Sines NNPS A34005 1371 96 from from IN A34005 1371 97 the the DT A34005 1371 98 Center Center NNP A34005 1371 99 , , , A34005 1371 100 and and CC A34005 1371 101 you -PRON- PRP A34005 1371 102 will will MD A34005 1371 103 find find VB A34005 1371 104 the the DT A34005 1371 105 correspondent correspondent NN A34005 1371 106 Amplitudes Amplitudes NNP A34005 1371 107 . . . A34005 1372 1 Example example NN A34005 1372 2 . . . A34005 1373 1 So so RB A34005 1373 2 when when WRB A34005 1373 3 the the DT A34005 1373 4 Sun Sun NNP A34005 1373 5 enters enter VBZ A34005 1373 6 ♉ ♉ NNP A34005 1373 7 ♍ ♍ NNP A34005 1373 8 ♏ ♏ NNP A34005 1373 9 ♓ ♓ NNP A34005 1373 10 , , , A34005 1373 11 his -PRON- PRP$ A34005 1373 12 Equinoctial equinoctial JJ A34005 1373 13 distance distance NN A34005 1373 14 being be VBG A34005 1373 15 30 30 CD A34005 1373 16 d d CD A34005 1373 17 , , , A34005 1373 18 the the DT A34005 1373 19 Amplitude Amplitude NNP A34005 1373 20 will will MD A34005 1373 21 be be VB A34005 1373 22 18 18 CD A34005 1373 23 d d NN A34005 1373 24 41′ 41′ CD A34005 1373 25 , , , A34005 1373 26 and and CC A34005 1373 27 when when WRB A34005 1373 28 he -PRON- PRP A34005 1373 29 enters enter VBZ A34005 1373 30 ♊ ♊ NNP A34005 1373 31 ♌ ♌ RB A34005 1373 32 ♐ ♐ NN A34005 1373 33 ♒ ♒ . A34005 1373 34 Equinox Equinox NNP A34005 1373 35 distance distance NN A34005 1373 36 60 60 CD A34005 1373 37 d d NNS A34005 1373 38 , , , A34005 1373 39 the the DT A34005 1373 40 Amplitude Amplitude NNP A34005 1373 41 will will MD A34005 1373 42 be be VB A34005 1373 43 33 33 CD A34005 1373 44 d d NN A34005 1373 45 42′ 42′ CD A34005 1373 46 ; ; : A34005 1373 47 and and CC A34005 1373 48 when when WRB A34005 1373 49 he -PRON- PRP A34005 1373 50 enters enter VBZ A34005 1373 51 ♋ ♋ NNP A34005 1373 52 ♑ ♑ NFP A34005 1373 53 the the DT A34005 1373 54 greatest great JJS A34005 1373 55 Amplitude Amplitude NNP A34005 1373 56 will will MD A34005 1373 57 be be VB A34005 1373 58 39d 39d NNS A34005 1373 59 50′ 50′ CD A34005 1373 60 , , , A34005 1373 61 his -PRON- PRP$ A34005 1373 62 distance distance NN A34005 1373 63 from from IN A34005 1373 64 the the DT A34005 1373 65 nearest near JJS A34005 1373 66 Equinoctial equinoctial JJ A34005 1373 67 Point Point NNP A34005 1373 68 being be VBG A34005 1373 69 90 90 CD A34005 1373 70 d. d. NN A34005 1373 71 But but CC A34005 1373 72 for for IN A34005 1373 73 such such JJ A34005 1373 74 Proportions Proportions NNP A34005 1373 75 in in IN A34005 1373 76 which which WDT A34005 1373 77 there there EX A34005 1373 78 is be VBZ A34005 1373 79 not not RB A34005 1373 80 two two CD A34005 1373 81 fixed fix VBN A34005 1373 82 Tearms tearm NNS A34005 1373 83 , , , A34005 1373 84 the the DT A34005 1373 85 best good JJS A34005 1373 86 way way NN A34005 1373 87 to to TO A34005 1373 88 Operate operate VB A34005 1373 89 them -PRON- PRP A34005 1373 90 will will MD A34005 1373 91 be be VB A34005 1373 92 by by IN A34005 1373 93 the the DT A34005 1373 94 joint joint JJ A34005 1373 95 help help NN A34005 1373 96 of of IN A34005 1373 97 the the DT A34005 1373 98 Limbe Limbe NNP A34005 1373 99 and and CC A34005 1373 100 Line Line NNP A34005 1373 101 of of IN A34005 1373 102 Sines Sines NNPS A34005 1373 103 . . . A34005 1374 1 An an DT A34005 1374 2 Example Example NNP A34005 1374 3 for for IN A34005 1374 4 finding find VBG A34005 1374 5 the the DT A34005 1374 6 Time Time NNP A34005 1374 7 of of IN A34005 1374 8 the the DT A34005 1374 9 day day NN A34005 1374 10 the the DT A34005 1374 11 Suns Suns NNPS A34005 1374 12 Azimuth Azimuth NNP A34005 1374 13 Declination Declination NNP A34005 1374 14 and and CC A34005 1374 15 Altitude Altitude NNP A34005 1374 16 being be VBG A34005 1374 17 given give VBN A34005 1374 18 . . . A34005 1375 1 By by IN A34005 1375 2 the the DT A34005 1375 3 Suns Suns NNPS A34005 1375 4 Azimuth Azimuth NNP A34005 1375 5 is be VBZ A34005 1375 6 meant mean VBN A34005 1375 7 the the DT A34005 1375 8 angle angle NN A34005 1375 9 thereof thereof RB A34005 1375 10 from from IN A34005 1375 11 the the DT A34005 1375 12 midnight midnight NN A34005 1375 13 part part NN A34005 1375 14 of of IN A34005 1375 15 the the DT A34005 1375 16 Meridian Meridian NNP A34005 1375 17 , , , A34005 1375 18 the the DT A34005 1375 19 Proportion Proportion NNP A34005 1375 20 is be VBZ A34005 1375 21 As as IN A34005 1375 22 the the DT A34005 1375 23 Cosine Cosine NNP A34005 1375 24 of of IN A34005 1375 25 the the DT A34005 1375 26 Declination declination NN A34005 1375 27 , , , A34005 1375 28 To to IN A34005 1375 29 the the DT A34005 1375 30 Sine Sine NNP A34005 1375 31 of of IN A34005 1375 32 the the DT A34005 1375 33 Azimuth Azimuth NNP A34005 1375 34 : : : A34005 1375 35 So so CC A34005 1375 36 the the DT A34005 1375 37 Cosine Cosine NNP A34005 1375 38 of of IN A34005 1375 39 the the DT A34005 1375 40 Suns Suns NNPS A34005 1375 41 Altitude Altitude NNP A34005 1375 42 . . . A34005 1376 1 To to IN A34005 1376 2 the the DT A34005 1376 3 Sine Sine NNP A34005 1376 4 of of IN A34005 1376 5 the the DT A34005 1376 6 hour hour NN A34005 1376 7 from from IN A34005 1376 8 the the DT A34005 1376 9 Meridian Meridian NNP A34005 1376 10 . . . A34005 1377 1 Example example NN A34005 1377 2 . . . A34005 1378 1 So so RB A34005 1378 2 when when WRB A34005 1378 3 the the DT A34005 1378 4 Sun Sun NNP A34005 1378 5 hath hath NNP A34005 1378 6 18 18 CD A34005 1378 7 d d NN A34005 1378 8 37′ 37′ NNP A34005 1378 9 North North NNP A34005 1378 10 Declination Declination NNP A34005 1378 11 , , , A34005 1378 12 if if IN A34005 1378 13 his -PRON- PRP$ A34005 1378 14 Azimuth azimuth NN A34005 1378 15 be be VB A34005 1378 16 69 69 CD A34005 1378 17 d d NN A34005 1378 18 from from IN A34005 1378 19 the the DT A34005 1378 20 Meridian Meridian NNP A34005 1378 21 , , , A34005 1378 22 and and CC A34005 1378 23 the the DT A34005 1378 24 Altitude Altitude NNP A34005 1378 25 39 39 CD A34005 1378 26 d d CD A34005 1378 27 , , , A34005 1378 28 the the DT A34005 1378 29 hour hour NN A34005 1378 30 will will MD A34005 1378 31 be be VB A34005 1378 32 found find VBN A34005 1378 33 to to TO A34005 1378 34 be be VB A34005 1378 35 49 49 CD A34005 1378 36 d d NN A34005 1378 37 58′ 58′ CD A34005 1378 38 from from IN A34005 1378 39 Noon Noon NNP A34005 1378 40 . . . A34005 1379 1 So so CC A34005 1379 2 if if IN A34005 1379 3 there there EX A34005 1379 4 were be VBD A34005 1379 5 given give VBN A34005 1379 6 the the DT A34005 1379 7 Hour Hour NNP A34005 1379 8 , , , A34005 1379 9 the the DT A34005 1379 10 Declination Declination NNP A34005 1379 11 and and CC A34005 1379 12 Altitude Altitude NNP A34005 1379 13 by by IN A34005 1379 14 transposing transpose VBG A34005 1379 15 the the DT A34005 1379 16 Order order NN A34005 1379 17 of of IN A34005 1379 18 the the DT A34005 1379 19 former former JJ A34005 1379 20 Proportion Proportion NNP A34005 1379 21 , , , A34005 1379 22 it -PRON- PRP A34005 1379 23 will will MD A34005 1379 24 hold hold VB A34005 1379 25 to to TO A34005 1379 26 find find VB A34005 1379 27 the the DT A34005 1379 28 Azimuth Azimuth NNP A34005 1379 29 , , , A34005 1379 30 As as IN A34005 1379 31 the the DT A34005 1379 32 Cosine Cosine NNP A34005 1379 33 of of IN A34005 1379 34 the the DT A34005 1379 35 Suns Suns NNPS A34005 1379 36 Altitude Altitude NNP A34005 1379 37 , , , A34005 1379 38 To to IN A34005 1379 39 the the DT A34005 1379 40 Sine Sine NNP A34005 1379 41 of of IN A34005 1379 42 the the DT A34005 1379 43 hour hour NN A34005 1379 44 from from IN A34005 1379 45 the the DT A34005 1379 46 Meridian Meridian NNP A34005 1379 47 : : : A34005 1379 48 So so CC A34005 1379 49 the the DT A34005 1379 50 Cosine Cosine NNP A34005 1379 51 of of IN A34005 1379 52 the the DT A34005 1379 53 Suns Suns NNPS A34005 1379 54 Declination Declination NNP A34005 1379 55 , , , A34005 1379 56 To to IN A34005 1379 57 the the DT A34005 1379 58 Sine Sine NNP A34005 1379 59 of of IN A34005 1379 60 the the DT A34005 1379 61 Azimuth Azimuth NNP A34005 1379 62 from from IN A34005 1379 63 the the DT A34005 1379 64 Meridian Meridian NNP A34005 1379 65 . . . A34005 1380 1 Commonly commonly RB A34005 1380 2 in in IN A34005 1380 3 both both PDT A34005 1380 4 these these DT A34005 1380 5 Cases case NNS A34005 1380 6 the the DT A34005 1380 7 Latitude Latitude NNP A34005 1380 8 is be VBZ A34005 1380 9 also also RB A34005 1380 10 known know VBN A34005 1380 11 , , , A34005 1380 12 and and CC A34005 1380 13 the the DT A34005 1380 14 Affection Affection NNP A34005 1380 15 is be VBZ A34005 1380 16 to to TO A34005 1380 17 be be VB A34005 1380 18 determined determine VBN A34005 1380 19 according accord VBG A34005 1380 20 to to IN A34005 1380 21 Rules rule NNS A34005 1380 22 formerly formerly RB A34005 1380 23 given give VBN A34005 1380 24 . . . A34005 1381 1 A a DT A34005 1381 2 Proportion proportion NN A34005 1381 3 wholly wholly RB A34005 1381 4 in in IN A34005 1381 5 Secants secant NNS A34005 1381 6 we -PRON- PRP A34005 1381 7 have have VBP A34005 1381 8 shewed shew VBN A34005 1381 9 before before IN A34005 1381 10 may may MD A34005 1381 11 be be VB A34005 1381 12 changed change VBN A34005 1381 13 wholly wholly RB A34005 1381 14 into into IN A34005 1381 15 Sines Sines NNP A34005 1381 16 ; ; : A34005 1381 17 but but CC A34005 1381 18 the the DT A34005 1381 19 like like IN A34005 1381 20 mutual mutual JJ A34005 1381 21 conversion conversion NN A34005 1381 22 of of IN A34005 1381 23 the the DT A34005 1381 24 Sines Sines NNPS A34005 1381 25 into into IN A34005 1381 26 Tangents Tangents NNP A34005 1381 27 is be VBZ A34005 1381 28 not not RB A34005 1381 29 yet yet RB A34005 1381 30 known know VBN A34005 1381 31 , , , A34005 1381 32 however however RB A34005 1381 33 it -PRON- PRP A34005 1381 34 may may MD A34005 1381 35 be be VB A34005 1381 36 done do VBN A34005 1381 37 in in IN A34005 1381 38 〈 〈 NNP A34005 1381 39 ◊ ◊ NNP A34005 1381 40 〉 〉 NNP A34005 1381 41 of of IN A34005 1381 42 the the DT A34005 1381 43 16 16 CD A34005 1381 44 Cases case NNS A34005 1381 45 wherein wherein WRB A34005 1381 46 the the DT A34005 1381 47 Radius Radius NNP A34005 1381 48 is be VBZ A34005 1381 49 ingredient ingredient JJ A34005 1381 50 , , , A34005 1381 51 for for IN A34005 1381 52 instance instance NN A34005 1381 53 , , , A34005 1381 54 let let VB A34005 1381 55 the the DT A34005 1381 56 Proportion proportion NN A34005 1381 57 be be VB A34005 1381 58 to to TO A34005 1381 59 find find VB A34005 1381 60 the the DT A34005 1381 61 time time NN A34005 1381 62 of of IN A34005 1381 63 Sun Sun NNP A34005 1381 64 rising rise VBG A34005 1381 65 . . . A34005 1382 1 As as IN A34005 1382 2 Radius Radius NNP A34005 1382 3 , , , A34005 1382 4 To to IN A34005 1382 5 Tangent Tangent NNP A34005 1382 6 of of IN A34005 1382 7 Latitude Latitude NNP A34005 1382 8 : : : A34005 1382 9 So so CC A34005 1382 10 the the DT A34005 1382 11 Tangent tangent NN A34005 1382 12 of of IN A34005 1382 13 the the DT A34005 1382 14 Declination declination NN A34005 1382 15 , , , A34005 1382 16 To to IN A34005 1382 17 the the DT A34005 1382 18 Sine Sine NNP A34005 1382 19 of of IN A34005 1382 20 the the DT A34005 1382 21 hour hour NN A34005 1382 22 from from IN A34005 1382 23 6 6 CD A34005 1382 24 . . . A34005 1383 1 Instead instead RB A34005 1383 2 of of IN A34005 1383 3 the the DT A34005 1383 4 two two CD A34005 1383 5 first first JJ A34005 1383 6 Tearms tearm NNS A34005 1383 7 it -PRON- PRP A34005 1383 8 may may MD A34005 1383 9 be be VB A34005 1383 10 , , , A34005 1383 11 As as IN A34005 1383 12 the the DT A34005 1383 13 Cosine Cosine NNP A34005 1383 14 of of IN A34005 1383 15 the the DT A34005 1383 16 Latitude Latitude NNP A34005 1383 17 , , , A34005 1383 18 To to IN A34005 1383 19 the the DT A34005 1383 20 Sine Sine NNP A34005 1383 21 of of IN A34005 1383 22 the the DT A34005 1383 23 Latitude Latitude NNP A34005 1383 24 , , , A34005 1383 25 then then RB A34005 1383 26 instead instead RB A34005 1383 27 of of IN A34005 1383 28 the the DT A34005 1383 29 Tangent Tangent NNP A34005 1383 30 of of IN A34005 1383 31 the the DT A34005 1383 32 Declination Declination NNP A34005 1383 33 say say VBP A34005 1383 34 , , , A34005 1383 35 So so RB A34005 1383 36 is be VBZ A34005 1383 37 the the DT A34005 1383 38 Sine Sine NNP A34005 1383 39 hereof hereof NN A34005 1383 40 to to IN A34005 1383 41 a a DT A34005 1383 42 fourth fourth JJ A34005 1383 43 . . . A34005 1384 1 Again again RB A34005 1384 2 , , , A34005 1384 3 As as IN A34005 1384 4 the the DT A34005 1384 5 Cosine Cosine NNP A34005 1384 6 of of IN A34005 1384 7 the the DT A34005 1384 8 Declination Declination NNP A34005 1384 9 , , , A34005 1384 10 To to IN A34005 1384 11 that that DT A34005 1384 12 fourth fourth RB A34005 1384 13 : : : A34005 1384 14 So so RB A34005 1384 15 Radius Radius NNP A34005 1384 16 , , , A34005 1384 17 To to IN A34005 1384 18 the the DT A34005 1384 19 Sine Sine NNP A34005 1384 20 of of IN A34005 1384 21 the the DT A34005 1384 22 hour hour NN A34005 1384 23 from from IN A34005 1384 24 six six CD A34005 1384 25 : : : A34005 1384 26 This this DT A34005 1384 27 being be VBG A34005 1384 28 derived derive VBN A34005 1384 29 from from IN A34005 1384 30 the the DT A34005 1384 31 Analemm Analemm NNP A34005 1384 32 ● ● NFP A34005 1384 33 by by IN A34005 1384 34 resolving resolve VBG A34005 1384 35 a a DT A34005 1384 36 Triangle Triangle NNP A34005 1384 37 , , , A34005 1384 38 one one CD A34005 1384 39 side side NN A34005 1384 40 whereof whereof NNP A34005 1384 41 is be VBZ A34005 1384 42 the the DT A34005 1384 43 Arch Arch NNP A34005 1384 44 of of IN A34005 1384 45 a a DT A34005 1384 46 lesser less JJR A34005 1384 47 Circle Circle NNP A34005 1384 48 . . . A34005 1385 1 If if IN A34005 1385 2 a a DT A34005 1385 3 Quadrant quadrant JJ A34005 1385 4 want want VBP A34005 1385 5 Tangents tangent NNS A34005 1385 6 or or CC A34005 1385 7 Secants Secants NNPS A34005 1385 8 in in IN A34005 1385 9 the the DT A34005 1385 10 Limb Limb NNP A34005 1385 11 , , , A34005 1385 12 but but CC A34005 1385 13 may may MD A34005 1385 14 admit admit VB A34005 1385 15 of of IN A34005 1385 16 a a DT A34005 1385 17 Sine Sine NNP A34005 1385 18 from from IN A34005 1385 19 the the DT A34005 1385 20 Center Center NNP A34005 1385 21 , , , A34005 1385 22 the the DT A34005 1385 23 Tangent Tangent NNP A34005 1385 24 and and CC A34005 1385 25 Secant Secant NNP A34005 1385 26 of of IN A34005 1385 27 the the DT A34005 1385 28 Latitude Latitude NNP A34005 1385 29 , , , A34005 1385 30 & & CC A34005 1385 31 c c NNP A34005 1385 32 , , , A34005 1385 33 may may MD A34005 1385 34 be be VB A34005 1385 35 taken take VBN A34005 1385 36 out out RP A34005 1385 37 by by IN A34005 1385 38 what what WP A34005 1385 39 hath hath NNP A34005 1385 40 been be VBN A34005 1385 41 asserted assert VBN A34005 1385 42 , , , A34005 1385 43 to to IN A34005 1385 44 half half PDT A34005 1385 45 the the DT A34005 1385 46 common common JJ A34005 1385 47 Radius Radius NNP A34005 1385 48 , , , A34005 1385 49 and and CC A34005 1385 50 marked mark VBN A34005 1385 51 on on IN A34005 1385 52 the the DT A34005 1385 53 Limb Limb NNP A34005 1385 54 , , , A34005 1385 55 and and CC A34005 1385 56 the the DT A34005 1385 57 Quadrant Quadrant NNP A34005 1385 58 thereby thereby RB A34005 1385 59 fitted fit VBD A34005 1385 60 to to TO A34005 1385 61 perform perform VB A34005 1385 62 most most JJS A34005 1385 63 of of IN A34005 1385 64 the the DT A34005 1385 65 Propositions Propositions NNPS A34005 1385 66 of of IN A34005 1385 67 the the DT A34005 1385 68 Sphoere Sphoere NNP A34005 1385 69 in in IN A34005 1385 70 one one CD A34005 1385 71 Latitude Latitude NNP A34005 1385 72 , , , A34005 1385 73 and and CC A34005 1385 74 how how WRB A34005 1385 75 to to TO A34005 1385 76 supply supply VB A34005 1385 77 the the DT A34005 1385 78 Defect defect NN A34005 1385 79 of of IN A34005 1385 80 a a DT A34005 1385 81 Line Line NNP A34005 1385 82 of of IN A34005 1385 83 Versed versed JJ A34005 1385 84 Sines Sines NNPS A34005 1385 85 in in IN A34005 1385 86 the the DT A34005 1385 87 Limb Limb NNP A34005 1385 88 shall shall MD A34005 1385 89 afterwards afterwards RB A34005 1385 90 be be VB A34005 1385 91 shewne shewne NN A34005 1385 92 . . . A34005 1386 1 What what WP A34005 1386 2 hath hath NNP A34005 1386 3 been be VBN A34005 1386 4 spoken speak VBN A34005 1386 5 concerning concern VBG A34005 1386 6 a a DT A34005 1386 7 Line Line NNP A34005 1386 8 of of IN A34005 1386 9 Sines Sines NNPS A34005 1386 10 graduated graduate VBD A34005 1386 11 on on IN A34005 1386 12 a a DT A34005 1386 13 Quadrant Quadrant NNP A34005 1386 14 from from IN A34005 1386 15 the the DT A34005 1386 16 Center Center NNP A34005 1386 17 , , , A34005 1386 18 may may MD A34005 1386 19 by by IN A34005 1386 20 help help NN A34005 1386 21 of of IN A34005 1386 22 the the DT A34005 1386 23 equal equal JJ A34005 1386 24 Limb Limb NNP A34005 1386 25 be be VB A34005 1386 26 performed perform VBN A34005 1386 27 without without IN A34005 1386 28 it -PRON- PRP A34005 1386 29 . . . A34005 1387 1 1 1 LS A34005 1387 2 . . . A34005 1388 1 A a DT A34005 1388 2 Proportional Proportional NNP A34005 1388 3 Sine Sine NNP A34005 1388 4 may may MD A34005 1388 5 be be VB A34005 1388 6 taken take VBN A34005 1388 7 off off RP A34005 1388 8 to to IN A34005 1388 9 any any DT A34005 1388 10 diminutive diminutive JJ A34005 1388 11 Radius Radius NNP A34005 1388 12 . . . A34005 1389 1 By by IN A34005 1389 2 the the DT A34005 1389 3 Definition Definition NNP A34005 1389 4 of of IN A34005 1389 5 Sines Sines NNP A34005 1389 6 the the DT A34005 1389 7 right right JJ A34005 1389 8 Sine Sine NNP A34005 1389 9 of of IN A34005 1389 10 an an DT A34005 1389 11 Arch Arch NNP A34005 1389 12 is be VBZ A34005 1389 13 a a DT A34005 1389 14 Line Line NNP A34005 1389 15 falling fall VBG A34005 1389 16 from from IN A34005 1389 17 the the DT A34005 1389 18 end end NN A34005 1389 19 of of IN A34005 1389 20 that that DT A34005 1389 21 Arch Arch NNP A34005 1389 22 Perpendicularly Perpendicularly NNP A34005 1389 23 to to IN A34005 1389 24 the the DT A34005 1389 25 Radius Radius NNP A34005 1389 26 drawn draw VBN A34005 1389 27 to to IN A34005 1389 28 the the DT A34005 1389 29 other other JJ A34005 1389 30 end end NN A34005 1389 31 of of IN A34005 1389 32 the the DT A34005 1389 33 said say VBN A34005 1389 34 Arch Arch NNP A34005 1389 35 ; ; : A34005 1389 36 So so CC A34005 1389 37 the the DT A34005 1389 38 Line line NN A34005 1389 39 H h NN A34005 1389 40 K k NN A34005 1389 41 falling fall VBG A34005 1389 42 Perpendicularly Perpendicularly NNP A34005 1389 43 on on IN A34005 1389 44 the the DT A34005 1389 45 Radius Radius NNP A34005 1389 46 F F NNP A34005 1389 47 G G NNP A34005 1389 48 shall shall MD A34005 1389 49 be be VB A34005 1389 50 the the DT A34005 1389 51 Sine Sine NNP A34005 1389 52 of of IN A34005 1389 53 the the DT A34005 1389 54 Arch Arch NNP A34005 1389 55 H h NN A34005 1389 56 G g NN A34005 1389 57 , , , A34005 1389 58 and and CC A34005 1389 59 by by IN A34005 1389 60 the the DT A34005 1389 61 same same JJ A34005 1389 62 Definition Definition NNP A34005 1389 63 the the DT A34005 1389 64 Line Line NNP A34005 1389 65 G g NN A34005 1389 66 I -PRON- PRP A34005 1389 67 falling fall VBG A34005 1389 68 perpendicularly perpendicularly RB A34005 1389 69 on on IN A34005 1389 70 the the DT A34005 1389 71 Radius Radius NNP A34005 1389 72 F F NNP A34005 1389 73 H H NNP A34005 1389 74 shall shall MD A34005 1389 75 also also RB A34005 1389 76 be be VB A34005 1389 77 the the DT A34005 1389 78 Sine Sine NNP A34005 1389 79 of of IN A34005 1389 80 the the DT A34005 1389 81 said say VBN A34005 1389 82 Arch Arch NNP A34005 1389 83 , , , A34005 1389 84 and and CC A34005 1389 85 whether whether IN A34005 1389 86 the the DT A34005 1389 87 Radius Radius NNP A34005 1389 88 be be VB A34005 1389 89 bigger big JJR A34005 1389 90 or or CC A34005 1389 91 lesser less JJR A34005 1389 92 , , , A34005 1389 93 this this DT A34005 1389 94 Definition Definition NNP A34005 1389 95 is be VBZ A34005 1389 96 common common JJ A34005 1389 97 , , , A34005 1389 98 but but CC A34005 1389 99 the the DT A34005 1389 100 Line Line NNP A34005 1389 101 G G NNP A34005 1389 102 I -PRON- PRP A34005 1389 103 on on IN A34005 1389 104 a a DT A34005 1389 105 Quadrant Quadrant NNP A34005 1389 106 represents represent VBZ A34005 1389 107 the the DT A34005 1389 108 nearest near JJS A34005 1389 109 distance distance NN A34005 1389 110 from from IN A34005 1389 111 the the DT A34005 1389 112 Radius Radius NNP A34005 1389 113 to to IN A34005 1389 114 the the DT A34005 1389 115 Thread Thread NNP A34005 1389 116 , , , A34005 1389 117 therefore therefore RB A34005 1389 118 a a DT A34005 1389 119 Sine Sine NNP A34005 1389 120 may may MD A34005 1389 121 be be VB A34005 1389 122 taken take VBN A34005 1389 123 off off RP A34005 1389 124 from from IN A34005 1389 125 the the DT A34005 1389 126 Limb Limb NNP A34005 1389 127 to to IN A34005 1389 128 any any DT A34005 1389 129 Diminutive Diminutive NNP A34005 1389 130 Radius Radius NNP A34005 1389 131 , , , A34005 1389 132 to to TO A34005 1389 133 perform perform VB A34005 1389 134 which which WDT A34005 1389 135 , , , A34005 1389 136 Enter enter VB A34005 1389 137 the the DT A34005 1389 138 length length NN A34005 1389 139 or or CC A34005 1389 140 Radius Radius NNP A34005 1389 141 proposed propose VBD A34005 1389 142 down down RP A34005 1389 143 the the DT A34005 1389 144 streight streight JJ A34005 1389 145 Line Line NNP A34005 1389 146 that that WDT A34005 1389 147 comes come VBZ A34005 1389 148 from from IN A34005 1389 149 the the DT A34005 1389 150 Center Center NNP A34005 1389 151 of of IN A34005 1389 152 the the DT A34005 1389 153 Quadrant Quadrant NNP A34005 1389 154 , , , A34005 1389 155 and and CC A34005 1389 156 limits limit VBZ A34005 1389 157 the the DT A34005 1389 158 Limb Limb NNP A34005 1389 159 ; ; : A34005 1389 160 observe observe VB A34005 1389 161 where where WRB A34005 1389 162 the the DT A34005 1389 163 Compasses compass NNS A34005 1389 164 rests rest VBZ A34005 1389 165 , , , A34005 1389 166 this this DT A34005 1389 167 I -PRON- PRP A34005 1389 168 call call VBP A34005 1389 169 the the DT A34005 1389 170 fixed fix VBN A34005 1389 171 Point Point NNP A34005 1389 172 , , , A34005 1389 173 because because IN A34005 1389 174 the the DT A34005 1389 175 Compasses compass NNS A34005 1389 176 must must MD A34005 1389 177 be be VB A34005 1389 178 set set VBN A34005 1389 179 down down RP A34005 1389 180 at at IN A34005 1389 181 it -PRON- PRP A34005 1389 182 , , , A34005 1389 183 at at IN A34005 1389 184 every every DT A34005 1389 185 taking taking NN A34005 1389 186 off off RP A34005 1389 187 , , , A34005 1389 188 then then RB A34005 1389 189 to to TO A34005 1389 190 take take VB A34005 1389 191 off off RP A34005 1389 192 the the DT A34005 1389 193 Sine Sine NNP A34005 1389 194 of of IN A34005 1389 195 any any DT A34005 1389 196 Arch Arch NNP A34005 1389 197 to to IN A34005 1389 198 that that DT A34005 1389 199 Radius radius NN A34005 1389 200 , , , A34005 1389 201 lay lie VBD A34005 1389 202 the the DT A34005 1389 203 Thread thread NN A34005 1389 204 over over IN A34005 1389 205 the the DT A34005 1389 206 Arch Arch NNP A34005 1389 207 counted count VBN A34005 1389 208 in in IN A34005 1389 209 the the DT A34005 1389 210 Limb Limb NNP A34005 1389 211 from from IN A34005 1389 212 the the DT A34005 1389 213 said said JJ A34005 1389 214 edge edge NN A34005 1389 215 of of IN A34005 1389 216 the the DT A34005 1389 217 Quadrant Quadrant NNP A34005 1389 218 , , , A34005 1389 219 and and CC A34005 1389 220 take take VB A34005 1389 221 the the DT A34005 1389 222 nearest near JJS A34005 1389 223 distance distance NN A34005 1389 224 to to IN A34005 1389 225 it -PRON- PRP A34005 1389 226 for for IN A34005 1389 227 the the DT A34005 1389 228 length length NN A34005 1389 229 of of IN A34005 1389 230 the the DT A34005 1389 231 Sine Sine NNP A34005 1389 232 sought seek VBD A34005 1389 233 : : : A34005 1389 234 But but CC A34005 1389 235 to to TO A34005 1389 236 take take VB A34005 1389 237 out out RP A34005 1389 238 Sines sine NNS A34005 1389 239 to to IN A34005 1389 240 the the DT A34005 1389 241 Radius Radius NNP A34005 1389 242 of of IN A34005 1389 243 the the DT A34005 1389 244 graduated graduate VBN A34005 1389 245 Limb Limb NNP A34005 1389 246 set set VBD A34005 1389 247 down down RP A34005 1389 248 one one CD A34005 1389 249 foot foot NN A34005 1389 250 at at IN A34005 1389 251 the the DT A34005 1389 252 Ark Ark NNP A34005 1389 253 in in IN A34005 1389 254 the the DT A34005 1389 255 Limb Limb NNP A34005 1389 256 , , , A34005 1389 257 and and CC A34005 1389 258 take take VB A34005 1389 259 the the DT A34005 1389 260 nearest near JJS A34005 1389 261 distance distance NN A34005 1389 262 to to IN A34005 1389 263 the the DT A34005 1389 264 two two CD A34005 1389 265 edge edge NN A34005 1389 266 Lines line NNS A34005 1389 267 of of IN A34005 1389 268 the the DT A34005 1389 269 Limb Limb NNP A34005 1389 270 , , , A34005 1389 271 the the DT A34005 1389 272 one one NN A34005 1389 273 shall shall MD A34005 1389 274 be be VB A34005 1389 275 the the DT A34005 1389 276 Sine Sine NNP A34005 1389 277 , , , A34005 1389 278 the the DT A34005 1389 279 other other JJ A34005 1389 280 Co co NN A34005 1389 281 - - NN A34005 1389 282 sine sine NN A34005 1389 283 of of IN A34005 1389 284 the the DT A34005 1389 285 said say VBN A34005 1389 286 Ark. Arkansas NNP A34005 1390 1 2 2 LS A34005 1390 2 . . . A34005 1391 1 A a DT A34005 1391 2 Proportion proportion NN A34005 1391 3 in in IN A34005 1391 4 Sines sine NNS A34005 1391 5 alone alone RB A34005 1391 6 may may MD A34005 1391 7 be be VB A34005 1391 8 wrought work VBN A34005 1391 9 by by IN A34005 1391 10 help help NN A34005 1391 11 of of IN A34005 1391 12 the the DT A34005 1391 13 Limbe Limbe NNP A34005 1391 14 . . . A34005 1392 1 Take take VB A34005 1392 2 out out RP A34005 1392 3 one one CD A34005 1392 4 of of IN A34005 1392 5 the the DT A34005 1392 6 middle middle JJ A34005 1392 7 Tearms Tearms NNPS A34005 1392 8 by by IN A34005 1392 9 the the DT A34005 1392 10 former former JJ A34005 1392 11 Prop Prop NNP A34005 1392 12 . . . A34005 1393 1 and and CC A34005 1393 2 entring entre VBG A34005 1393 3 it -PRON- PRP A34005 1393 4 down down IN A34005 1393 5 the the DT A34005 1393 6 right right JJ A34005 1393 7 edge edge NN A34005 1393 8 from from IN A34005 1393 9 the the DT A34005 1393 10 Center Center NNP A34005 1393 11 , , , A34005 1393 12 take take VB A34005 1393 13 the the DT A34005 1393 14 nearest near JJS A34005 1393 15 distance distance NN A34005 1393 16 to to IN A34005 1393 17 the the DT A34005 1393 18 Thread thread NN A34005 1393 19 laid lay VBN A34005 1393 20 over over IN A34005 1393 21 the the DT A34005 1393 22 other other JJ A34005 1393 23 middle middle JJ A34005 1393 24 Tearm Tearm NNP A34005 1393 25 in in IN A34005 1393 26 the the DT A34005 1393 27 Limbe Limbe NNP A34005 1393 28 , , , A34005 1393 29 counted count VBN A34005 1393 30 from from IN A34005 1393 31 right right JJ A34005 1393 32 edge edge NN A34005 1393 33 , , , A34005 1393 34 then then RB A34005 1393 35 lay lay VB A34005 1393 36 the the DT A34005 1393 37 Thread thread NN A34005 1393 38 to to IN A34005 1393 39 the the DT A34005 1393 40 first first JJ A34005 1393 41 Tearm Tearm NNP A34005 1393 42 in in IN A34005 1393 43 the the DT A34005 1393 44 Limb Limb NNP A34005 1393 45 , , , A34005 1393 46 and and CC A34005 1393 47 enter enter VB A34005 1393 48 that that DT A34005 1393 49 extent extent NN A34005 1393 50 between between IN A34005 1393 51 the the DT A34005 1393 52 right right JJ A34005 1393 53 edge edge NN A34005 1393 54 Line Line NNP A34005 1393 55 and and CC A34005 1393 56 the the DT A34005 1393 57 Thread thread NN A34005 1393 58 , , , A34005 1393 59 the the DT A34005 1393 60 distance distance NN A34005 1393 61 of of IN A34005 1393 62 the the DT A34005 1393 63 foot foot NN A34005 1393 64 of of IN A34005 1393 65 the the DT A34005 1393 66 Compasses Compasses NNPS A34005 1393 67 from from IN A34005 1393 68 the the DT A34005 1393 69 Center Center NNP A34005 1393 70 , , , A34005 1393 71 is be VBZ A34005 1393 72 the the DT A34005 1393 73 length length NN A34005 1393 74 of of IN A34005 1393 75 the the DT A34005 1393 76 Sine Sine NNP A34005 1393 77 sought seek VBD A34005 1393 78 , , , A34005 1393 79 to to TO A34005 1393 80 be be VB A34005 1393 81 measured measure VBN A34005 1393 82 in in IN A34005 1393 83 the the DT A34005 1393 84 Limb Limb NNP A34005 1393 85 by by IN A34005 1393 86 entring entre VBG A34005 1393 87 one one CD A34005 1393 88 foot foot NN A34005 1393 89 of of IN A34005 1393 90 that that DT A34005 1393 91 Extent extent NN A34005 1393 92 in in IN A34005 1393 93 it -PRON- PRP A34005 1393 94 : : : A34005 1393 95 So so IN A34005 1393 96 that that IN A34005 1393 97 the the DT A34005 1393 98 other other JJ A34005 1393 99 turned turn VBD A34005 1393 100 about about IN A34005 1393 101 may may NNP A34005 1393 102 but but CC A34005 1393 103 just just RB A34005 1393 104 touch touch VB A34005 1393 105 one one CD A34005 1393 106 of of IN A34005 1393 107 the the DT A34005 1393 108 edge edge NN A34005 1393 109 or or CC A34005 1393 110 side side NN A34005 1393 111 Lines line NNS A34005 1393 112 of of IN A34005 1393 113 the the DT A34005 1393 114 Limb Limb NNP A34005 1393 115 issuing issue VBG A34005 1393 116 from from IN A34005 1393 117 the the DT A34005 1393 118 Center Center NNP A34005 1393 119 , , , A34005 1393 120 or or CC A34005 1393 121 enter enter VBP A34005 1393 122 that that DT A34005 1393 123 Extent extent NN A34005 1393 124 at at IN A34005 1393 125 the the DT A34005 1393 126 concurrence concurrence NN A34005 1393 127 of of IN A34005 1393 128 the the DT A34005 1393 129 Limbe Limbe NNP A34005 1393 130 with with IN A34005 1393 131 the the DT A34005 1393 132 said say VBN A34005 1393 133 Line line NN A34005 1393 134 , , , A34005 1393 135 and and CC A34005 1393 136 lay lie VBD A34005 1393 137 the the DT A34005 1393 138 Thread thread NN A34005 1393 139 to to IN A34005 1393 140 the the DT A34005 1393 141 other other JJ A34005 1393 142 foot foot NN A34005 1393 143 according accord VBG A34005 1393 144 to to IN A34005 1393 145 the the DT A34005 1393 146 nearest near JJS A34005 1393 147 distance distance NN A34005 1393 148 , , , A34005 1393 149 and and CC A34005 1393 150 in in IN A34005 1393 151 the the DT A34005 1393 152 Limbe Limbe NNP A34005 1393 153 it -PRON- PRP A34005 1393 154 shews shew VBZ A34005 1393 155 the the DT A34005 1393 156 Ark Ark NNP A34005 1393 157 sought seek VBD A34005 1393 158 : : : A34005 1393 159 Whence whence NN A34005 1393 160 may may MD A34005 1393 161 be be VB A34005 1393 162 observed observe VBN A34005 1393 163 how how WRB A34005 1393 164 to to TO A34005 1393 165 prick prick VB A34005 1393 166 of of IN A34005 1393 167 an an DT A34005 1393 168 angle angle NN A34005 1393 169 by by IN A34005 1393 170 Sines Sines NNPS A34005 1393 171 instead instead RB A34005 1393 172 of of IN A34005 1393 173 Chords Chords NNPS A34005 1393 174 . . . A34005 1394 1 From from IN A34005 1394 2 this this DT A34005 1394 3 and and CC A34005 1394 4 some some DT A34005 1394 5 other other JJ A34005 1394 6 following follow VBG A34005 1394 7 Propositions Propositions NNPS A34005 1394 8 I -PRON- PRP A34005 1394 9 assert assert VBP A34005 1394 10 the the DT A34005 1394 11 Hour Hour NNP A34005 1394 12 and and CC A34005 1394 13 Azimuth Azimuth NNP A34005 1394 14 may may MD A34005 1394 15 be be VB A34005 1394 16 found find VBN A34005 1394 17 generally generally RB A34005 1394 18 by by IN A34005 1394 19 the the DT A34005 1394 20 sole sole JJ A34005 1394 21 help help NN A34005 1394 22 of of IN A34005 1394 23 the the DT A34005 1394 24 Limb Limb NNP A34005 1394 25 of of IN A34005 1394 26 a a DT A34005 1394 27 Quadrant Quadrant NNP A34005 1394 28 without without IN A34005 1394 29 Protraction Protraction NNP A34005 1394 30 . . . A34005 1395 1 How how WRB A34005 1395 2 from from IN A34005 1395 3 the the DT A34005 1395 4 Lines line NNS A34005 1395 5 inscribed inscribe VBN A34005 1395 6 in in IN A34005 1395 7 the the DT A34005 1395 8 Limbe Limbe NNP A34005 1395 9 to to TO A34005 1395 10 take take VB A34005 1395 11 off off RP A34005 1395 12 a a DT A34005 1395 13 Sine Sine NNP A34005 1395 14 , , , A34005 1395 15 Tangent Tangent NNP A34005 1395 16 , , , A34005 1395 17 Secant Secant NNP A34005 1395 18 and and CC A34005 1395 19 Versed Versed NNP A34005 1395 20 Sine Sine NNP A34005 1395 21 to to IN A34005 1395 22 any any DT A34005 1395 23 Radius Radius NNP A34005 1395 24 , , , A34005 1395 25 if if IN A34005 1395 26 less less JJR A34005 1395 27 then then RB A34005 1395 28 half half PDT A34005 1395 29 the the DT A34005 1395 30 common common JJ A34005 1395 31 Radius Radius NNP A34005 1395 32 of of IN A34005 1395 33 the the DT A34005 1395 34 Quadrant Quadrant NNP A34005 1395 35 . . . A34005 1396 1 IT it PRP A34005 1396 2 hath hath NN A34005 1396 3 been be VBN A34005 1396 4 asserted assert VBN A34005 1396 5 , , , A34005 1396 6 that that IN A34005 1396 7 a a DT A34005 1396 8 Sine Sine NNP A34005 1396 9 may may MD A34005 1396 10 be be VB A34005 1396 11 taken take VBN A34005 1396 12 off off RP A34005 1396 13 from from IN A34005 1396 14 the the DT A34005 1396 15 Limb Limb NNP A34005 1396 16 , , , A34005 1396 17 and and CC A34005 1396 18 by by IN A34005 1396 19 consequence consequence NN A34005 1396 20 any any DT A34005 1396 21 other other JJ A34005 1396 22 Line Line NNP A34005 1396 23 there there RB A34005 1396 24 put put VBD A34005 1396 25 on on RP A34005 1396 26 ; ; , A34005 1396 27 for for CC A34005 1396 28 by by IN A34005 1396 29 being be VBG A34005 1396 30 carried carry VBN A34005 1396 31 thither thither NN A34005 1396 32 they -PRON- PRP A34005 1396 33 are be VBP A34005 1396 34 converted convert VBN A34005 1396 35 into into IN A34005 1396 36 Sines Sines NNP A34005 1396 37 , , , A34005 1396 38 and and CC A34005 1396 39 put put VBD A34005 1396 40 on on RP A34005 1396 41 in in IN A34005 1396 42 the the DT A34005 1396 43 same same JJ A34005 1396 44 manner manner NN A34005 1396 45 , , , A34005 1396 46 for for IN A34005 1396 47 by by IN A34005 1396 48 the the DT A34005 1396 49 Definition Definition NNP A34005 1396 50 of of IN A34005 1396 51 Sines Sines NNPS A34005 1396 52 , , , A34005 1396 53 if if IN A34005 1396 54 Lines line NNS A34005 1396 55 were be VBD A34005 1396 56 carryed carry VBN A34005 1396 57 Parralel parralel RB A34005 1396 58 to to IN A34005 1396 59 the the DT A34005 1396 60 right right JJ A34005 1396 61 edge edge NN A34005 1396 62 of of IN A34005 1396 63 the the DT A34005 1396 64 Quadrant Quadrant NNP A34005 1396 65 from from IN A34005 1396 66 the the DT A34005 1396 67 equal equal JJ A34005 1396 68 degrees degree NNS A34005 1396 69 of of IN A34005 1396 70 the the DT A34005 1396 71 Limb Limb NNP A34005 1396 72 to to IN A34005 1396 73 the the DT A34005 1396 74 left left JJ A34005 1396 75 edge edge NN A34005 1396 76 they -PRON- PRP A34005 1396 77 would would MD A34005 1396 78 there there RB A34005 1396 79 constitute constitute VB A34005 1396 80 a a DT A34005 1396 81 Line Line NNP A34005 1396 82 of of IN A34005 1396 83 Sines Sines NNPS A34005 1396 84 and and CC A34005 1396 85 the the DT A34005 1396 86 Converse Converse NNP A34005 1396 87 . . . A34005 1397 1 To to TO A34005 1397 2 find find VB A34005 1397 3 the the DT A34005 1397 4 fixed fix VBN A34005 1397 5 Point Point NNP A34005 1397 6 enter enter VB A34005 1397 7 the the DT A34005 1397 8 Radius radius NN A34005 1397 9 proposed propose VBN A34005 1397 10 twice twice RB A34005 1397 11 down down IN A34005 1397 12 the the DT A34005 1397 13 Line Line NNP A34005 1397 14 of of IN A34005 1397 15 Sines Sines NNPS A34005 1397 16 from from IN A34005 1397 17 the the DT A34005 1397 18 Center Center NNP A34005 1397 19 , , , A34005 1397 20 or or CC A34005 1397 21 which which WDT A34005 1397 22 is be VBZ A34005 1397 23 all all DT A34005 1397 24 one one CD A34005 1397 25 , , , A34005 1397 26 Lay Lay NNP A34005 1397 27 the the DT A34005 1397 28 Thread thread NN A34005 1397 29 over over IN A34005 1397 30 30 30 CD A34005 1397 31 d d NN A34005 1397 32 of of IN A34005 1397 33 the the DT A34005 1397 34 Limb Limb NNP A34005 1397 35 counted count VBD A34005 1397 36 from from IN A34005 1397 37 the the DT A34005 1397 38 right right JJ A34005 1397 39 edge edge NN A34005 1397 40 towards towards IN A34005 1397 41 the the DT A34005 1397 42 left left NN A34005 1397 43 , , , A34005 1397 44 and and CC A34005 1397 45 enter enter VB A34005 1397 46 the the DT A34005 1397 47 limitted limitte VBN A34005 1397 48 Radius Radius NNP A34005 1397 49 between between IN A34005 1397 50 the the DT A34005 1397 51 Thread thread NN A34005 1397 52 and and CC A34005 1397 53 the the DT A34005 1397 54 Scale scale NN A34005 1397 55 ; ; : A34005 1397 56 so so IN A34005 1397 57 that that IN A34005 1397 58 one one CD A34005 1397 59 foot foot NN A34005 1397 60 turned turn VBD A34005 1397 61 about about IN A34005 1397 62 may may MD A34005 1397 63 just just RB A34005 1397 64 touch touch VB A34005 1397 65 the the DT A34005 1397 66 Thread thread NN A34005 1397 67 , , , A34005 1397 68 and and CC A34005 1397 69 the the DT A34005 1397 70 other other JJ A34005 1397 71 resting resting NN A34005 1397 72 on on IN A34005 1397 73 the the DT A34005 1397 74 Line Line NNP A34005 1397 75 of of IN A34005 1397 76 Sines Sines NNPS A34005 1397 77 , , , A34005 1397 78 shews shew VBZ A34005 1397 79 the the DT A34005 1397 80 fixed fix VBN A34005 1397 81 Point Point NNP A34005 1397 82 , , , A34005 1397 83 at at IN A34005 1397 84 which which WDT A34005 1397 85 if if IN A34005 1397 86 the the DT A34005 1397 87 Compasses compass NNS A34005 1397 88 be be VB A34005 1397 89 always always RB A34005 1397 90 set set VBN A34005 1397 91 down down RP A34005 1397 92 , , , A34005 1397 93 and and CC A34005 1397 94 the the DT A34005 1397 95 Thread thread NN A34005 1397 96 laid lay VBD A34005 1397 97 over over IN A34005 1397 98 any any DT A34005 1397 99 Ark Ark NNP A34005 1397 100 in in IN A34005 1397 101 the the DT A34005 1397 102 Tangent Tangent NNP A34005 1397 103 , , , A34005 1397 104 Secant Secant NNP A34005 1397 105 or or CC A34005 1397 106 lesser less JJR A34005 1397 107 Sines Sines NNP A34005 1397 108 , , , A34005 1397 109 the the DT A34005 1397 110 nearest near JJS A34005 1397 111 distances distance NNS A34005 1397 112 from from IN A34005 1397 113 the the DT A34005 1397 114 said say VBN A34005 1397 115 Point Point NNP A34005 1397 116 to to IN A34005 1397 117 the the DT A34005 1397 118 Thread thread NN A34005 1397 119 shall shall MD A34005 1397 120 be be VB A34005 1397 121 the the DT A34005 1397 122 Sine Sine NNP A34005 1397 123 , , , A34005 1397 124 Tangent Tangent NNP A34005 1397 125 , , , A34005 1397 126 Secant Secant NNP A34005 1397 127 , , , A34005 1397 128 of of IN A34005 1397 129 the the DT A34005 1397 130 said say VBD A34005 1397 131 Ark Ark NNP A34005 1397 132 to to IN A34005 1397 133 the the DT A34005 1397 134 limitted limitte VBN A34005 1397 135 Radius Radius NNP A34005 1397 136 . . . A34005 1398 1 But but CC A34005 1398 2 for for IN A34005 1398 3 such such JJ A34005 1398 4 Lines line NNS A34005 1398 5 as as IN A34005 1398 6 are be VBP A34005 1398 7 put put VBN A34005 1398 8 on on RP A34005 1398 9 to to IN A34005 1398 10 the the DT A34005 1398 11 common common JJ A34005 1398 12 Radius Radius NNP A34005 1398 13 , , , A34005 1398 14 as as IN A34005 1398 15 the the DT A34005 1398 16 Tangent Tangent NNP A34005 1398 17 of of IN A34005 1398 18 45 45 CD A34005 1398 19 d d NN A34005 1398 20 , , , A34005 1398 21 & & CC A34005 1398 22 c. c. NNP A34005 1398 23 the the DT A34005 1398 24 Radius Radius NNP A34005 1398 25 is be VBZ A34005 1398 26 to to TO A34005 1398 27 be be VB A34005 1398 28 entred entre VBN A34005 1398 29 but but CC A34005 1398 30 once once RB A34005 1398 31 down down RB A34005 1398 32 from from IN A34005 1398 33 the the DT A34005 1398 34 Center Center NNP A34005 1398 35 to to TO A34005 1398 36 find find VB A34005 1398 37 the the DT A34005 1398 38 fixed fix VBN A34005 1398 39 Point point NN A34005 1398 40 . . . A34005 1399 1 Of of IN A34005 1399 2 the the DT A34005 1399 3 Line Line NNP A34005 1399 4 of of IN A34005 1399 5 Secants secant NNS A34005 1399 6 . . . A34005 1400 1 This this DT A34005 1400 2 Line line NN A34005 1400 3 singly singly RB A34005 1400 4 considered consider VBN A34005 1400 5 is be VBZ A34005 1400 6 of of IN A34005 1400 7 small small JJ A34005 1400 8 use use NN A34005 1400 9 , , , A34005 1400 10 but but CC A34005 1400 11 junctim junctim NNP A34005 1400 12 with with IN A34005 1400 13 other other JJ A34005 1400 14 Lines line NNS A34005 1400 15 of of IN A34005 1400 16 great great JJ A34005 1400 17 use use NN A34005 1400 18 for for IN A34005 1400 19 the the DT A34005 1400 20 general general JJ A34005 1400 21 finding find VBG A34005 1400 22 the the DT A34005 1400 23 Hour Hour NNP A34005 1400 24 and and CC A34005 1400 25 Azimuth Azimuth NNP A34005 1400 26 : : : A34005 1400 27 Mr Mr NNP A34005 1400 28 Foster Foster NNP A34005 1400 29 makes make VBZ A34005 1400 30 use use NN A34005 1400 31 of of IN A34005 1400 32 it -PRON- PRP A34005 1400 33 in in IN A34005 1400 34 his -PRON- PRP$ A34005 1400 35 Posthuma Posthuma NNP A34005 1400 36 to to TO A34005 1400 37 graduate graduate VB A34005 1400 38 the the DT A34005 1400 39 Meridian Meridian NNP A34005 1400 40 Line Line NNP A34005 1400 41 of of IN A34005 1400 42 a a DT A34005 1400 43 Mercators Mercators NNP A34005 1400 44 Chart Chart NNP A34005 1400 45 , , , A34005 1400 46 which which WDT A34005 1400 47 is be VBZ A34005 1400 48 done do VBN A34005 1400 49 by by IN A34005 1400 50 the the DT A34005 1400 51 perpetual perpetual JJ A34005 1400 52 addition addition NN A34005 1400 53 of of IN A34005 1400 54 Secants Secants NNP A34005 1400 55 , , , A34005 1400 56 and and CC A34005 1400 57 the the DT A34005 1400 58 like like JJ A34005 1400 59 may may MD A34005 1400 60 be be VB A34005 1400 61 done do VBN A34005 1400 62 from from IN A34005 1400 63 this this DT A34005 1400 64 Line line NN A34005 1400 65 lying lie VBG A34005 1400 66 in in IN A34005 1400 67 the the DT A34005 1400 68 Limb Limb NNP A34005 1400 69 but but CC A34005 1400 70 a a DT A34005 1400 71 better well JJR A34005 1400 72 way way NN A34005 1400 73 wil wil NN A34005 1400 74 be be VB A34005 1400 75 to to TO A34005 1400 76 do do VB A34005 1400 77 it -PRON- PRP A34005 1400 78 from from IN A34005 1400 79 a a DT A34005 1400 80 well well RB A34005 1400 81 graduated graduate VBN A34005 1400 82 Meridian Meridian NNP A34005 1400 83 Line Line NNP A34005 1400 84 by by IN A34005 1400 85 doubling double VBG A34005 1400 86 or or CC A34005 1400 87 folding fold VBG A34005 1400 88 the the DT A34005 1400 89 edge edge NN A34005 1400 90 of of IN A34005 1400 91 the the DT A34005 1400 92 Chard Chard NNP A34005 1400 93 thereto thereto NN A34005 1400 94 , , , A34005 1400 95 and and CC A34005 1400 96 so so RB A34005 1400 97 graduate graduate VB A34005 1400 98 it -PRON- PRP A34005 1400 99 by by IN A34005 1400 100 the the DT A34005 1400 101 Pen Pen NNP A34005 1400 102 . . . A34005 1401 1 Of of IN A34005 1401 2 the the DT A34005 1401 3 Line Line NNP A34005 1401 4 of of IN A34005 1401 5 Tangents Tangents NNP A34005 1401 6 . . . A34005 1402 1 The the DT A34005 1402 2 joint joint JJ A34005 1402 3 use use NN A34005 1402 4 of of IN A34005 1402 5 this this DT A34005 1402 6 Line Line NNP A34005 1402 7 with with IN A34005 1402 8 the the DT A34005 1402 9 Line Line NNP A34005 1402 10 of of IN A34005 1402 11 Sines Sines NNPS A34005 1402 12 is be VBZ A34005 1402 13 to to TO A34005 1402 14 work work VB A34005 1402 15 Proportions Proportions NNP A34005 1402 16 in in IN A34005 1402 17 Sines Sines NNPS A34005 1402 18 and and CC A34005 1402 19 Tangents Tangents NNP A34005 1402 20 , , , A34005 1402 21 in in IN A34005 1402 22 any any DT A34005 1402 23 Proportion Proportion NNP A34005 1402 24 wrought work VBN A34005 1402 25 by by IN A34005 1402 26 help help NN A34005 1402 27 of of IN A34005 1402 28 Lines line NNS A34005 1402 29 in in IN A34005 1402 30 the the DT A34005 1402 31 Limb Limb NNP A34005 1402 32 wherein wherein WRB A34005 1402 33 the the DT A34005 1402 34 Radius Radius NNP A34005 1402 35 is be VBZ A34005 1402 36 not not RB A34005 1402 37 ingredient ingredient JJ A34005 1402 38 , , , A34005 1402 39 the the DT A34005 1402 40 Radius Radius NNP A34005 1402 41 must must MD A34005 1402 42 be be VB A34005 1402 43 introduced introduce VBN A34005 1402 44 according accord VBG A34005 1402 45 to to IN A34005 1402 46 the the DT A34005 1402 47 general general JJ A34005 1402 48 Direction Direction NNP A34005 1402 49 . . . A34005 1403 1 If if IN A34005 1403 2 the the DT A34005 1403 3 two two CD A34005 1403 4 middle middle JJ A34005 1403 5 Tearms Tearms NNPS A34005 1403 6 be be VB A34005 1403 7 Sines Sines NNP A34005 1403 8 there there EX A34005 1403 9 must must MD A34005 1403 10 be be VB A34005 1403 11 one one CD A34005 1403 12 Proportion Proportion NNP A34005 1403 13 wrought work VBD A34005 1403 14 wholly wholly RB A34005 1403 15 on on IN A34005 1403 16 the the DT A34005 1403 17 Line Line NNP A34005 1403 18 of of IN A34005 1403 19 Sines Sines NNPS A34005 1403 20 on on IN A34005 1403 21 the the DT A34005 1403 22 Backside backside NN A34005 1403 23 , , , A34005 1403 24 and and CC A34005 1403 25 another another DT A34005 1403 26 on on IN A34005 1403 27 the the DT A34005 1403 28 Line Line NNP A34005 1403 29 of of IN A34005 1403 30 Tangents Tangents NNPS A34005 1403 31 on on IN A34005 1403 32 the the DT A34005 1403 33 foreside foreside NN A34005 1403 34 ; ; : A34005 1403 35 but but CC A34005 1403 36 such such JJ A34005 1403 37 Cases case NNS A34005 1403 38 are be VBP A34005 1403 39 not not RB A34005 1403 40 usual usual JJ A34005 1403 41 : : : A34005 1403 42 But but CC A34005 1403 43 if if IN A34005 1403 44 the the DT A34005 1403 45 two two CD A34005 1403 46 middle middle JJ A34005 1403 47 Tearms Tearms NNPS A34005 1403 48 be be VB A34005 1403 49 Tangents tangent NNS A34005 1403 50 , , , A34005 1403 51 the the DT A34005 1403 52 first first JJ A34005 1403 53 Operation operation NN A34005 1403 54 must must MD A34005 1403 55 be be VB A34005 1403 56 on on IN A34005 1403 57 the the DT A34005 1403 58 line line NN A34005 1403 59 of of IN A34005 1403 60 Tangents Tangents NNP A34005 1403 61 on on IN A34005 1403 62 the the DT A34005 1403 63 foreside foreside NN A34005 1403 64 , , , A34005 1403 65 and and CC A34005 1403 66 the the DT A34005 1403 67 latter latter JJ A34005 1403 68 on on IN A34005 1403 69 the the DT A34005 1403 70 line line NN A34005 1403 71 of of IN A34005 1403 72 Sines Sines NNP A34005 1403 73 on on IN A34005 1403 74 this this DT A34005 1403 75 backside backside NN A34005 1403 76 , , , A34005 1403 77 unless unless IN A34005 1403 78 the the DT A34005 1403 79 Radius Radius NNP A34005 1403 80 be be VB A34005 1403 81 ingredient ingredient JJ A34005 1403 82 . . . A34005 1404 1 A a DT A34005 1404 2 general general JJ A34005 1404 3 Direction direction NN A34005 1404 4 to to TO A34005 1404 5 work work VB A34005 1404 6 Proportions Proportions NNP A34005 1404 7 when when WRB A34005 1404 8 the the DT A34005 1404 9 middle middle JJ A34005 1404 10 Tearms Tearms NNPS A34005 1404 11 are be VBP A34005 1404 12 of of IN A34005 1404 13 a a DT A34005 1404 14 different different JJ A34005 1404 15 Species specie NNS A34005 1404 16 . . . A34005 1405 1 If if IN A34005 1405 2 a a DT A34005 1405 3 Sine Sine NNP A34005 1405 4 be be VB A34005 1405 5 sought seek VBN A34005 1405 6 , , , A34005 1405 7 Lay Lay NNP A34005 1405 8 the the DT A34005 1405 9 Thread thread NN A34005 1405 10 to to IN A34005 1405 11 the the DT A34005 1405 12 Tangent tangent NN A34005 1405 13 in in IN A34005 1405 14 the the DT A34005 1405 15 Limb Limb NNP A34005 1405 16 being be VBG A34005 1405 17 one one CD A34005 1405 18 of of IN A34005 1405 19 the the DT A34005 1405 20 middle middle JJ A34005 1405 21 Terms term NNS A34005 1405 22 , , , A34005 1405 23 and and CC A34005 1405 24 from from IN A34005 1405 25 the the DT A34005 1405 26 Sine Sine NNP A34005 1405 27 being be VBG A34005 1405 28 another another DT A34005 1405 29 of of IN A34005 1405 30 the the DT A34005 1405 31 middle middle JJ A34005 1405 32 Terms term NNS A34005 1405 33 take take VBP A34005 1405 34 the the DT A34005 1405 35 nearest near JJS A34005 1405 36 distance distance NN A34005 1405 37 to to IN A34005 1405 38 it -PRON- PRP A34005 1405 39 , , , A34005 1405 40 then then RB A34005 1405 41 lay lay VB A34005 1405 42 the the DT A34005 1405 43 Thread thread NN A34005 1405 44 to to IN A34005 1405 45 the the DT A34005 1405 46 other other JJ A34005 1405 47 Tangent Tangent NNP A34005 1405 48 in in IN A34005 1405 49 the the DT A34005 1405 50 Limb Limb NNP A34005 1405 51 , , , A34005 1405 52 being be VBG A34005 1405 53 the the DT A34005 1405 54 first first JJ A34005 1405 55 Tearm Tearm NNP A34005 1405 56 , , , A34005 1405 57 and and CC A34005 1405 58 enter enter VB A34005 1405 59 the the DT A34005 1405 60 former former JJ A34005 1405 61 extent extent NN A34005 1405 62 between between IN A34005 1405 63 the the DT A34005 1405 64 Scale Scale NNP A34005 1405 65 and and CC A34005 1405 66 the the DT A34005 1405 67 Thread thread NN A34005 1405 68 , , , A34005 1405 69 and and CC A34005 1405 70 the the DT A34005 1405 71 foot foot NN A34005 1405 72 of of IN A34005 1405 73 the the DT A34005 1405 74 Compasses compass NNS A34005 1405 75 on on IN A34005 1405 76 the the DT A34005 1405 77 Line Line NNP A34005 1405 78 of of IN A34005 1405 79 Sines Sines NNPS A34005 1405 80 will will MD A34005 1405 81 shew shew VB A34005 1405 82 the the DT A34005 1405 83 fourth fourth JJ A34005 1405 84 Proportional Proportional NNP A34005 1405 85 . . . A34005 1406 1 Example example NN A34005 1406 2 . . . A34005 1407 1 If if IN A34005 1407 2 the the DT A34005 1407 3 Proportion Proportion NNP A34005 1407 4 were be VBD A34005 1407 5 , , , A34005 1407 6 As as IN A34005 1407 7 the the DT A34005 1407 8 Tangent Tangent NNP A34005 1407 9 of of IN A34005 1407 10 30 30 CD A34005 1407 11 d d NN A34005 1407 12 , , , A34005 1407 13 To to IN A34005 1407 14 the the DT A34005 1407 15 Sine Sine NNP A34005 1407 16 of of IN A34005 1407 17 25d 25d NNS A34005 1407 18 So so RB A34005 1407 19 is be VBZ A34005 1407 20 the the DT A34005 1407 21 Tangent Tangent NNP A34005 1407 22 of of IN A34005 1407 23 20 20 CD A34005 1407 24 d d NNS A34005 1407 25 , , , A34005 1407 26 To to IN A34005 1407 27 the the DT A34005 1407 28 Sine Sine NNP A34005 1407 29 of of IN A34005 1407 30 15 15 CD A34005 1407 31 d d CD A34005 1407 32 27′ 27′ CD A34005 1407 33 . . . A34005 1408 1 Lay lay VB A34005 1408 2 the the DT A34005 1408 3 Thread thread NN A34005 1408 4 over over IN A34005 1408 5 the the DT A34005 1408 6 Tangent Tangent NNP A34005 1408 7 of of IN A34005 1408 8 20 20 CD A34005 1408 9 d d NN A34005 1408 10 in in IN A34005 1408 11 the the DT A34005 1408 12 Limb Limb NNP A34005 1408 13 , , , A34005 1408 14 and and CC A34005 1408 15 from from IN A34005 1408 16 the the DT A34005 1408 17 Sine Sine NNP A34005 1408 18 of of IN A34005 1408 19 25 25 CD A34005 1408 20 d d XX A34005 1408 21 take take VB A34005 1408 22 the the DT A34005 1408 23 nearest near JJS A34005 1408 24 distance distance NN A34005 1408 25 to to IN A34005 1408 26 it -PRON- PRP A34005 1408 27 , , , A34005 1408 28 then then RB A34005 1408 29 lay lay VB A34005 1408 30 the the DT A34005 1408 31 Thread thread NN A34005 1408 32 to to IN A34005 1408 33 the the DT A34005 1408 34 Tangent Tangent NNP A34005 1408 35 of of IN A34005 1408 36 30 30 CD A34005 1408 37 d d NN A34005 1408 38 , , , A34005 1408 39 and and CC A34005 1408 40 the the DT A34005 1408 41 former former JJ A34005 1408 42 extent extent NN A34005 1408 43 so so RB A34005 1408 44 entred entre VBD A34005 1408 45 that that IN A34005 1408 46 one one CD A34005 1408 47 foot foot NN A34005 1408 48 resting rest VBG A34005 1408 49 on on IN A34005 1408 50 the the DT A34005 1408 51 Sines Sines NNPS A34005 1408 52 , , , A34005 1408 53 the the DT A34005 1408 54 other other JJ A34005 1408 55 foot foot NN A34005 1408 56 turned turn VBD A34005 1408 57 about about IN A34005 1408 58 may may NNP A34005 1408 59 but but CC A34005 1408 60 just just RB A34005 1408 61 touch touch VB A34005 1408 62 the the DT A34005 1408 63 Thread thread NN A34005 1408 64 , , , A34005 1408 65 and and CC A34005 1408 66 the the DT A34005 1408 67 resting rest VBG A34005 1408 68 foot foot NN A34005 1408 69 will will MD A34005 1408 70 shew shew NNP A34005 1408 71 15 15 CD A34005 1408 72 d d CD A34005 1408 73 27′ 27′ CD A34005 1408 74 for for IN A34005 1408 75 the the DT A34005 1408 76 Sine Sine NNP A34005 1408 77 sought seek VBN A34005 1408 78 . . . A34005 1409 1 2 2 LS A34005 1409 2 . . . A34005 1410 1 If if IN A34005 1410 2 a a DT A34005 1410 3 Tangent tangent NN A34005 1410 4 be be VB A34005 1410 5 sought seek VBN A34005 1410 6 . . . A34005 1411 1 Lay lay VB A34005 1411 2 the the DT A34005 1411 3 Thread thread NN A34005 1411 4 to to IN A34005 1411 5 the the DT A34005 1411 6 Tangent Tangent NNP A34005 1411 7 being be VBG A34005 1411 8 one one CD A34005 1411 9 of of IN A34005 1411 10 the the DT A34005 1411 11 middle middle JJ A34005 1411 12 Tearms Tearms NNP A34005 1411 13 , , , A34005 1411 14 and and CC A34005 1411 15 from from IN A34005 1411 16 the the DT A34005 1411 17 other other JJ A34005 1411 18 middle middle JJ A34005 1411 19 Tearm Tearm NNP A34005 1411 20 being be VBG A34005 1411 21 a a DT A34005 1411 22 Sine Sine NNP A34005 1411 23 take take VB A34005 1411 24 the the DT A34005 1411 25 nearest near JJS A34005 1411 26 distance distance NN A34005 1411 27 thereto thereto NN A34005 1411 28 , , , A34005 1411 29 then then RB A34005 1411 30 Enter enter VB A34005 1411 31 one one CD A34005 1411 32 foot foot NN A34005 1411 33 of of IN A34005 1411 34 that that DT A34005 1411 35 extent extent NN A34005 1411 36 at at IN A34005 1411 37 the the DT A34005 1411 38 first first JJ A34005 1411 39 Tearm Tearm NNP A34005 1411 40 being be VBG A34005 1411 41 a a DT A34005 1411 42 Sine Sine NNP A34005 1411 43 , , , A34005 1411 44 and and CC A34005 1411 45 the the DT A34005 1411 46 Thread thread NN A34005 1411 47 laid lay VBD A34005 1411 48 to to IN A34005 1411 49 the the DT A34005 1411 50 other other JJ A34005 1411 51 foot foot NN A34005 1411 52 shews shew VBZ A34005 1411 53 the the DT A34005 1411 54 fourth fourth JJ A34005 1411 55 Proportional Proportional NNP A34005 1411 56 in in IN A34005 1411 57 the the DT A34005 1411 58 Line Line NNP A34005 1411 59 of of IN A34005 1411 60 Tangents Tangents NNPS A34005 1411 61 in in IN A34005 1411 62 the the DT A34005 1411 63 Limb Limb NNP A34005 1411 64 . . . A34005 1412 1 Example example NN A34005 1412 2 . . . A34005 1413 1 So so CC A34005 1413 2 if if IN A34005 1413 3 the the DT A34005 1413 4 Proportion proportion NN A34005 1413 5 were be VBD A34005 1413 6 , , , A34005 1413 7 As as IN A34005 1413 8 the the DT A34005 1413 9 Sine Sine NNP A34005 1413 10 of of IN A34005 1413 11 25 25 CD A34005 1413 12 d d NNS A34005 1413 13 , , , A34005 1413 14 To to IN A34005 1413 15 the the DT A34005 1413 16 Tangent Tangent NNP A34005 1413 17 of of IN A34005 1413 18 30 30 CD A34005 1413 19 d d NN A34005 1413 20 : : : A34005 1413 21 So so RB A34005 1413 22 is be VBZ A34005 1413 23 the the DT A34005 1413 24 Sine Sine NNP A34005 1413 25 of of IN A34005 1413 26 32 32 CD A34005 1413 27 d d NNS A34005 1413 28 , , , A34005 1413 29 To to IN A34005 1413 30 a a DT A34005 1413 31 Tangent Tangent NNP A34005 1413 32 , , , A34005 1413 33 the the DT A34005 1413 34 fourth fourth JJ A34005 1413 35 Proportional Proportional NNP A34005 1413 36 would would MD A34005 1413 37 be be VB A34005 1413 38 found find VBN A34005 1413 39 to to TO A34005 1413 40 be be VB A34005 1413 41 the the DT A34005 1413 42 Tangent Tangent NNP A34005 1413 43 of of IN A34005 1413 44 35 35 CD A34005 1413 45 d d NN A34005 1413 46 54′ 54′ CD A34005 1413 47 . . . A34005 1414 1 If if IN A34005 1414 2 the the DT A34005 1414 3 answer answer NN A34005 1414 4 fall fall NN A34005 1414 5 near near IN A34005 1414 6 the the DT A34005 1414 7 end end NN A34005 1414 8 of of IN A34005 1414 9 the the DT A34005 1414 10 Scale Scale NNP A34005 1414 11 of of IN A34005 1414 12 Tangents Tangents NNP A34005 1414 13 , , , A34005 1414 14 the the DT A34005 1414 15 latter latter JJ A34005 1414 16 entrance entrance NN A34005 1414 17 may may MD A34005 1414 18 be be VB A34005 1414 19 made make VBN A34005 1414 20 by by IN A34005 1414 21 laying lay VBG A34005 1414 22 the the DT A34005 1414 23 Thread thread NN A34005 1414 24 to to IN A34005 1414 25 the the DT A34005 1414 26 first first JJ A34005 1414 27 Tearm Tearm NNP A34005 1414 28 in in IN A34005 1414 29 the the DT A34005 1414 30 Limb Limb NNP A34005 1414 31 , , , A34005 1414 32 and and CC A34005 1414 33 by by IN A34005 1414 34 a a DT A34005 1414 35 Parralel Parralel NNP A34005 1414 36 entrance entrance NN A34005 1414 37 an an DT A34005 1414 38 Ark Ark NNP A34005 1414 39 found find VBD A34005 1414 40 on on IN A34005 1414 41 the the DT A34005 1414 42 Line Line NNP A34005 1414 43 of of IN A34005 1414 44 Sines Sines NNPS A34005 1414 45 , , , A34005 1414 46 then then RB A34005 1414 47 if if IN A34005 1414 48 the the DT A34005 1414 49 Thread thread NN A34005 1414 50 be be VB A34005 1414 51 laid lay VBN A34005 1414 52 over over IN A34005 1414 53 the the DT A34005 1414 54 like like JJ A34005 1414 55 Ark Ark NNP A34005 1414 56 in in IN A34005 1414 57 the the DT A34005 1414 58 Limb Limb NNP A34005 1414 59 it -PRON- PRP A34005 1414 60 will will MD A34005 1414 61 intersect intersect VB A34005 1414 62 the the DT A34005 1414 63 Tangent tangent NN A34005 1414 64 sought seek VBD A34005 1414 65 . . . A34005 1415 1 These these DT A34005 1415 2 Directions Directions NNPS A34005 1415 3 presuppose presuppose VBP A34005 1415 4 the the DT A34005 1415 5 varying varying NN A34005 1415 6 of of IN A34005 1415 7 the the DT A34005 1415 8 Proportion Proportion NNP A34005 1415 9 when when WRB A34005 1415 10 the the DT A34005 1415 11 Tangens Tangens NNP A34005 1415 12 excur excur VBP A34005 1415 13 the the DT A34005 1415 14 length length NN A34005 1415 15 of of IN A34005 1415 16 the the DT A34005 1415 17 Scale Scale NNP A34005 1415 18 , , , A34005 1415 19 according accord VBG A34005 1415 20 to to IN A34005 1415 21 the the DT A34005 1415 22 Directions Directions NNPS A34005 1415 23 in in IN A34005 1415 24 the the DT A34005 1415 25 Trigonometrical trigonometrical JJ A34005 1415 26 part part NN A34005 1415 27 ; ; : A34005 1415 28 but but CC A34005 1415 29 as as IN A34005 1415 30 before before IN A34005 1415 31 suggested suggest VBN A34005 1415 32 , , , A34005 1415 33 those those DT A34005 1415 34 Directions direction NNS A34005 1415 35 are be VBP A34005 1415 36 insufficient insufficient JJ A34005 1415 37 when when WRB A34005 1415 38 one one CD A34005 1415 39 of of IN A34005 1415 40 the the DT A34005 1415 41 Tearms Tearms NNPS A34005 1415 42 or or CC A34005 1415 43 Tangents Tangents NNPS A34005 1415 44 are be VBP A34005 1415 45 less less JJR A34005 1415 46 then then RB A34005 1415 47 the the DT A34005 1415 48 Complement Complement NNP A34005 1415 49 of of IN A34005 1415 50 the the DT A34005 1415 51 Scale Scale NNP A34005 1415 52 wanting wanting NN A34005 1415 53 , , , A34005 1415 54 and and CC A34005 1415 55 the the DT A34005 1415 56 other other JJ A34005 1415 57 greater great JJR A34005 1415 58 then then RB A34005 1415 59 the the DT A34005 1415 60 length length NN A34005 1415 61 of of IN A34005 1415 62 the the DT A34005 1415 63 Scale Scale NNP A34005 1415 64 , , , A34005 1415 65 for for IN A34005 1415 66 two two CD A34005 1415 67 such such JJ A34005 1415 68 Arks Arks NNPS A34005 1415 69 can can MD A34005 1415 70 not not RB A34005 1415 71 be be VB A34005 1415 72 changed change VBN A34005 1415 73 into into IN A34005 1415 74 their -PRON- PRP$ A34005 1415 75 Complements complement NNS A34005 1415 76 without without IN A34005 1415 77 still still RB A34005 1415 78 incurring incur VBG A34005 1415 79 the the DT A34005 1415 80 same same JJ A34005 1415 81 inconvenience inconvenience NN A34005 1415 82 ; ; : A34005 1415 83 in in IN A34005 1415 84 this this DT A34005 1415 85 Case Case NNP A34005 1415 86 only only RB A34005 1415 87 change change VBP A34005 1415 88 the the DT A34005 1415 89 greater great JJR A34005 1415 90 Tearm Tearm NNP A34005 1415 91 , , , A34005 1415 92 which which WDT A34005 1415 93 may may MD A34005 1415 94 be be VB A34005 1415 95 done do VBN A34005 1415 96 by by IN A34005 1415 97 help help NN A34005 1415 98 of of IN A34005 1415 99 the the DT A34005 1415 100 Line Line NNP A34005 1415 101 of of IN A34005 1415 102 Secants Secants NNPS A34005 1415 103 , , , A34005 1415 104 for for IN A34005 1415 105 , , , A34005 1415 106 As as IN A34005 1415 107 the the DT A34005 1415 108 Tangent Tangent NNP A34005 1415 109 of of IN A34005 1415 110 an an DT A34005 1415 111 Arch Arch NNP A34005 1415 112 , , , A34005 1415 113 To to IN A34005 1415 114 the the DT A34005 1415 115 Sine Sine NNP A34005 1415 116 of of IN A34005 1415 117 another another DT A34005 1415 118 Arch Arch NNP A34005 1415 119 ; ; : A34005 1415 120 So so RB A34005 1415 121 is be VBZ A34005 1415 122 the the DT A34005 1415 123 Cosecant Cosecant NNP A34005 1415 124 of of IN A34005 1415 125 the the DT A34005 1415 126 latter latter JJ A34005 1415 127 Arch Arch NNP A34005 1415 128 , , , A34005 1415 129 To to IN A34005 1415 130 the the DT A34005 1415 131 Cotangent Cotangent NNP A34005 1415 132 of of IN A34005 1415 133 the the DT A34005 1415 134 former former JJ A34005 1415 135 . . . A34005 1416 1 And and CC A34005 1416 2 by by IN A34005 1416 3 Transposing transpose VBG A34005 1416 4 the the DT A34005 1416 5 Order order NN A34005 1416 6 of of IN A34005 1416 7 the the DT A34005 1416 8 Tearms Tearms NNPS A34005 1416 9 . . . A34005 1417 1 As as IN A34005 1417 2 a a DT A34005 1417 3 Sine Sine NNP A34005 1417 4 , , , A34005 1417 5 To to IN A34005 1417 6 a a DT A34005 1417 7 Tangent tangent NN A34005 1417 8 : : : A34005 1417 9 So so CC A34005 1417 10 the the DT A34005 1417 11 Cotangent Cotangent NNP A34005 1417 12 of of IN A34005 1417 13 the the DT A34005 1417 14 latter latter JJ A34005 1417 15 Arch Arch NNP A34005 1417 16 , , , A34005 1417 17 To to IN A34005 1417 18 the the DT A34005 1417 19 Cosecant Cosecant NNP A34005 1417 20 of of IN A34005 1417 21 the the DT A34005 1417 22 former former JJ A34005 1417 23 . . . A34005 1418 1 Example example NN A34005 1418 2 . . . A34005 1419 1 If if IN A34005 1419 2 the the DT A34005 1419 3 Proportion Proportion NNP A34005 1419 4 were be VBD A34005 1419 5 , , , A34005 1419 6 As as IN A34005 1419 7 the the DT A34005 1419 8 Sine Sine NNP A34005 1419 9 of of IN A34005 1419 10 8d 8d NNP A34005 1419 11 , , , A34005 1419 12 To to IN A34005 1419 13 the the DT A34005 1419 14 Tangent Tangent NNP A34005 1419 15 of of IN A34005 1419 16 25d 25d NNS A34005 1419 17 So so RB A34005 1419 18 is be VBZ A34005 1419 19 the the DT A34005 1419 20 Sine Sine NNP A34005 1419 21 of of IN A34005 1419 22 60d 60d NNPS A34005 1419 23 , , , A34005 1419 24 To to IN A34005 1419 25 the the DT A34005 1419 26 Tangent Tangent NNP A34005 1419 27 of of IN A34005 1419 28 71d 71d NNS A34005 1419 29 : : : A34005 1419 30 Here here RB A34005 1419 31 we -PRON- PRP A34005 1419 32 might may MD A34005 1419 33 foreknow foreknow VB A34005 1419 34 by by IN A34005 1419 35 the the DT A34005 1419 36 nature nature NN A34005 1419 37 of of IN A34005 1419 38 the the DT A34005 1419 39 Tearms Tearms NNPS A34005 1419 40 that that WDT A34005 1419 41 the the DT A34005 1419 42 Tangent tangent NN A34005 1419 43 sought seek VBD A34005 1419 44 would would MD A34005 1419 45 be be VB A34005 1419 46 large large JJ A34005 1419 47 or or CC A34005 1419 48 finde finde NN A34005 1419 49 by by IN A34005 1419 50 tryal tryal NN A34005 1419 51 that that WDT A34005 1419 52 it -PRON- PRP A34005 1419 53 can can MD A34005 1419 54 not not RB A34005 1419 55 be be VB A34005 1419 56 wrought work VBN A34005 1419 57 upon upon IN A34005 1419 58 the the DT A34005 1419 59 Quadrant quadrant NN A34005 1419 60 : : : A34005 1419 61 We -PRON- PRP A34005 1419 62 may may MD A34005 1419 63 therefore therefore RB A34005 1419 64 vary vary VB A34005 1419 65 it -PRON- PRP A34005 1419 66 thus thus RB A34005 1419 67 , , , A34005 1419 68 As as IN A34005 1419 69 the the DT A34005 1419 70 Tangent Tangent NNP A34005 1419 71 of of IN A34005 1419 72 25d 25d NNS A34005 1419 73 To to IN A34005 1419 74 the the DT A34005 1419 75 Sine Sine NNP A34005 1419 76 of of IN A34005 1419 77 8d 8d NNP A34005 1419 78 : : : A34005 1419 79 So so CC A34005 1419 80 the the DT A34005 1419 81 Secant Secant NNP A34005 1419 82 of of IN A34005 1419 83 30d 30d NNS A34005 1419 84 , , , A34005 1419 85 To to IN A34005 1419 86 the the DT A34005 1419 87 Tangent Tangent NNP A34005 1419 88 of of IN A34005 1419 89 19d 19d NNS A34005 1419 90 , , , A34005 1419 91 the the DT A34005 1419 92 Complement Complement NNP A34005 1419 93 of of IN A34005 1419 94 71d 71d CD A34005 1419 95 , , , A34005 1419 96 the the DT A34005 1419 97 Arch Arch NNP A34005 1419 98 sought seek VBD A34005 1419 99 . . . A34005 1420 1 Lay lay VB A34005 1420 2 the the DT A34005 1420 3 Thread thread NN A34005 1420 4 over over IN A34005 1420 5 8d 8d NNP A34005 1420 6 in in IN A34005 1420 7 the the DT A34005 1420 8 lesser less JJR A34005 1420 9 Sines Sines NNPS A34005 1420 10 , , , A34005 1420 11 and and CC A34005 1420 12 set set VBD A34005 1420 13 down down RP A34005 1420 14 one one CD A34005 1420 15 foot foot NN A34005 1420 16 of of IN A34005 1420 17 the the DT A34005 1420 18 Compasses compass NNS A34005 1420 19 at at IN A34005 1420 20 the the DT A34005 1420 21 Sine Sine NNP A34005 1420 22 of of IN A34005 1420 23 the the DT A34005 1420 24 same same JJ A34005 1420 25 Arch Arch NNP A34005 1420 26 the the DT A34005 1420 27 Thread thread NN A34005 1420 28 lyes lye NNS A34005 1420 29 over over RP A34005 1420 30 in in IN A34005 1420 31 the the DT A34005 1420 32 Limb Limb NNP A34005 1420 33 ; ; : A34005 1420 34 and and CC A34005 1420 35 take take VB A34005 1420 36 the the DT A34005 1420 37 nearest near JJS A34005 1420 38 distance distance NN A34005 1420 39 to to IN A34005 1420 40 the the DT A34005 1420 41 Thread thread NN A34005 1420 42 laid lay VBN A34005 1420 43 over over IN A34005 1420 44 the the DT A34005 1420 45 Secant Secant NNP A34005 1420 46 of of IN A34005 1420 47 30 30 CD A34005 1420 48 , , , A34005 1420 49 then then RB A34005 1420 50 lay lay VB A34005 1420 51 the the DT A34005 1420 52 Thread thread NN A34005 1420 53 to to IN A34005 1420 54 the the DT A34005 1420 55 Tangent Tangent NNP A34005 1420 56 of of IN A34005 1420 57 25d 25d NNS A34005 1420 58 , , , A34005 1420 59 and and CC A34005 1420 60 enter enter VB A34005 1420 61 the the DT A34005 1420 62 former former JJ A34005 1420 63 extent extent NN A34005 1420 64 between between IN A34005 1420 65 the the DT A34005 1420 66 Thread Thread NNP A34005 1420 67 and and CC A34005 1420 68 the the DT A34005 1420 69 Line Line NNP A34005 1420 70 of of IN A34005 1420 71 Sines Sines NNPS A34005 1420 72 , , , A34005 1420 73 and and CC A34005 1420 74 the the DT A34005 1420 75 distance distance NN A34005 1420 76 of of IN A34005 1420 77 the the DT A34005 1420 78 foot foot NN A34005 1420 79 of of IN A34005 1420 80 the the DT A34005 1420 81 Compasses Compasses NNPS A34005 1420 82 from from IN A34005 1420 83 the the DT A34005 1420 84 Center Center NNP A34005 1420 85 measured measure VBN A34005 1420 86 on on IN A34005 1420 87 the the DT A34005 1420 88 Tangents Tangents NNP A34005 1420 89 on on IN A34005 1420 90 the the DT A34005 1420 91 foreside foreside NN A34005 1420 92 sheweth sheweth NN A34005 1420 93 19d 19d NNS A34005 1420 94 . . . A34005 1421 1 But but CC A34005 1421 2 a a DT A34005 1421 3 more more RBR A34005 1421 4 general general JJ A34005 1421 5 Caution caution NN A34005 1421 6 in in IN A34005 1421 7 this this DT A34005 1421 8 Case Case NNP A34005 1421 9 without without IN A34005 1421 10 the the DT A34005 1421 11 help help NN A34005 1421 12 of of IN A34005 1421 13 the the DT A34005 1421 14 Secants Secants NNPS A34005 1421 15 , , , A34005 1421 16 would would MD A34005 1421 17 be be VB A34005 1421 18 by by IN A34005 1421 19 altring altre VBG A34005 1421 20 the the DT A34005 1421 21 larger large JJR A34005 1421 22 Tangent tangent NN A34005 1421 23 into into IN A34005 1421 24 its -PRON- PRP$ A34005 1421 25 Complement Complement NNP A34005 1421 26 by by IN A34005 1421 27 introducing introduce VBG A34005 1421 28 the the DT A34005 1421 29 Radius Radius NNP A34005 1421 30 , , , A34005 1421 31 and and CC A34005 1421 32 operating operate VBG A34005 1421 33 the the DT A34005 1421 34 Proportion Proportion NNP A34005 1421 35 on on IN A34005 1421 36 the the DT A34005 1421 37 greater great JJR A34005 1421 38 Tangent Tangent NNP A34005 1421 39 of of IN A34005 1421 40 45d 45d CD A34005 1421 41 . . . A34005 1422 1 If if IN A34005 1422 2 the the DT A34005 1422 3 Proportion Proportion NNP A34005 1422 4 were be VBD A34005 1422 5 , , , A34005 1422 6 As as IN A34005 1422 7 the the DT A34005 1422 8 Tangent Tangent NNP A34005 1422 9 of of IN A34005 1422 10 70d 70d NNPS A34005 1422 11 , , , A34005 1422 12 To to IN A34005 1422 13 the the DT A34005 1422 14 Sine Sine NNP A34005 1422 15 of of IN A34005 1422 16 60d 60d NNPS A34005 1422 17 : : : A34005 1422 18 So so CC A34005 1422 19 the the DT A34005 1422 20 Tangent Tangent NNP A34005 1422 21 of of IN A34005 1422 22 25d 25d NNS A34005 1422 23 , , , A34005 1422 24 To to IN A34005 1422 25 the the DT A34005 1422 26 Sine Sine NNP A34005 1422 27 of of IN A34005 1422 28 8d 8d CD A34005 1422 29 27′ 27′ CD A34005 1422 30 . . . A34005 1423 1 By by IN A34005 1423 2 introducing introduce VBG A34005 1423 3 the the DT A34005 1423 4 Radius Radius NNP A34005 1423 5 at at IN A34005 1423 6 two two CD A34005 1423 7 Operations operation NNS A34005 1423 8 it -PRON- PRP A34005 1423 9 would would MD A34005 1423 10 be be VB A34005 1423 11 easily easily RB A34005 1423 12 wrought work VBN A34005 1423 13 , , , A34005 1423 14 As as IN A34005 1423 15 Radius Radius NNP A34005 1423 16 , , , A34005 1423 17 To to IN A34005 1423 18 Tangent Tangent NNP A34005 1423 19 25d 25d NNS A34005 1423 20 , , , A34005 1423 21 So so RB A34005 1423 22 Sine Sine NNP A34005 1423 23 60d 60d NNPS A34005 1423 24 , , , A34005 1423 25 To to IN A34005 1423 26 a a DT A34005 1423 27 fourth fourth JJ A34005 1423 28 , , , A34005 1423 29 Again again RB A34005 1423 30 , , , A34005 1423 31 As as IN A34005 1423 32 the the DT A34005 1423 33 Radius Radius NNP A34005 1423 34 , , , A34005 1423 35 To to IN A34005 1423 36 the the DT A34005 1423 37 Tangent Tangent NNP A34005 1423 38 of of IN A34005 1423 39 20 20 CD A34005 1423 40 d d NN A34005 1423 41 : : : A34005 1423 42 So so CC A34005 1423 43 that that IN A34005 1423 44 fourth fourth RB A34005 1423 45 , , , A34005 1423 46 To to IN A34005 1423 47 the the DT A34005 1423 48 Sine Sine NNP A34005 1423 49 sought seek VBN A34005 1423 50 . . . A34005 1424 1 So so RB A34005 1424 2 the the DT A34005 1424 3 former former JJ A34005 1424 4 Example example NN A34005 1424 5 wherein wherein WRB A34005 1424 6 a a DT A34005 1424 7 Tangent Tangent NNP A34005 1424 8 is be VBZ A34005 1424 9 sought seek VBN A34005 1424 10 may may MD A34005 1424 11 be be VB A34005 1424 12 likewise likewise RB A34005 1424 13 varied varied JJ A34005 1424 14 . . . A34005 1425 1 As as IN A34005 1425 2 Radius Radius NNP A34005 1425 3 , , , A34005 1425 4 To to IN A34005 1425 5 Tangent Tangent NNP A34005 1425 6 25d 25d NNS A34005 1425 7 : : : A34005 1425 8 So so RB A34005 1425 9 Sine Sine NNP A34005 1425 10 60d 60d NNPS A34005 1425 11 , , , A34005 1425 12 To to IN A34005 1425 13 a a DT A34005 1425 14 fourth fourth JJ A34005 1425 15 , , , A34005 1425 16 Again again RB A34005 1425 17 , , , A34005 1425 18 As as IN A34005 1425 19 that that DT A34005 1425 20 fourth fourth RB A34005 1425 21 , , , A34005 1425 22 To to IN A34005 1425 23 the the DT A34005 1425 24 Radius radius NN A34005 1425 25 : : : A34005 1425 26 So so RB A34005 1425 27 is be VBZ A34005 1425 28 the the DT A34005 1425 29 Sine Sine NNP A34005 1425 30 of of IN A34005 1425 31 8d 8d NNP A34005 1425 32 , , , A34005 1425 33 To to IN A34005 1425 34 the the DT A34005 1425 35 Cotangent Cotangent NNP A34005 1425 36 of of IN A34005 1425 37 the the DT A34005 1425 38 Arch Arch NNP A34005 1425 39 sought seek VBN A34005 1425 40 , , , A34005 1425 41 namely namely RB A34005 1425 42 to to IN A34005 1425 43 the the DT A34005 1425 44 Tangent Tangent NNP A34005 1425 45 of of IN A34005 1425 46 19d 19d NNS A34005 1425 47 as as IN A34005 1425 48 before before RB A34005 1425 49 . . . A34005 1426 1 Two two CD A34005 1426 2 Proportions proportion NNS A34005 1426 3 with with IN A34005 1426 4 the the DT A34005 1426 5 Radius Radius NNP A34005 1426 6 in in IN A34005 1426 7 each each DT A34005 1426 8 are be VBP A34005 1426 9 as as RB A34005 1426 10 suddenly suddenly RB A34005 1426 11 done do VBN A34005 1426 12 as as IN A34005 1426 13 one one CD A34005 1426 14 without without IN A34005 1426 15 the the DT A34005 1426 16 Radius Radius NNP A34005 1426 17 . . . A34005 1427 1 Operation operation NN A34005 1427 2 . . . A34005 1428 1 Lay lay VB A34005 1428 2 the the DT A34005 1428 3 Thread thread NN A34005 1428 4 over over IN A34005 1428 5 the the DT A34005 1428 6 Tangent Tangent NNP A34005 1428 7 of of IN A34005 1428 8 25d 25d NNS A34005 1428 9 in in IN A34005 1428 10 the the DT A34005 1428 11 greater great JJR A34005 1428 12 Tangents tangent NNS A34005 1428 13 , , , A34005 1428 14 and and CC A34005 1428 15 from from IN A34005 1428 16 the the DT A34005 1428 17 Sine Sine NNP A34005 1428 18 of of IN A34005 1428 19 60d 60d NNS A34005 1428 20 take take VBP A34005 1428 21 the the DT A34005 1428 22 nearest near JJS A34005 1428 23 distance distance NN A34005 1428 24 to to IN A34005 1428 25 it -PRON- PRP A34005 1428 26 , , , A34005 1428 27 enter enter VB A34005 1428 28 that that DT A34005 1428 29 extent extent NN A34005 1428 30 at at IN A34005 1428 31 90 90 CD A34005 1428 32 , , , A34005 1428 33 or or CC A34005 1428 34 the the DT A34005 1428 35 end end NN A34005 1428 36 of of IN A34005 1428 37 the the DT A34005 1428 38 Line Line NNP A34005 1428 39 of of IN A34005 1428 40 Sines Sines NNP A34005 1428 41 , , , A34005 1428 42 laying lay VBG A34005 1428 43 the the DT A34005 1428 44 Thread thread NN A34005 1428 45 to to IN A34005 1428 46 the the DT A34005 1428 47 other other JJ A34005 1428 48 foot foot NN A34005 1428 49 according accord VBG A34005 1428 50 to to IN A34005 1428 51 the the DT A34005 1428 52 nearest near JJS A34005 1428 53 distance distance NN A34005 1428 54 , , , A34005 1428 55 then then RB A34005 1428 56 enter enter VB A34005 1428 57 the the DT A34005 1428 58 Sine Sine NNP A34005 1428 59 of of IN A34005 1428 60 8 8 CD A34005 1428 61 parralelly parralelly RB A34005 1428 62 between between IN A34005 1428 63 the the DT A34005 1428 64 Scale Scale NNP A34005 1428 65 and and CC A34005 1428 66 the the DT A34005 1428 67 Thread thread NN A34005 1428 68 and and CC A34005 1428 69 the the DT A34005 1428 70 distance distance NN A34005 1428 71 of of IN A34005 1428 72 the the DT A34005 1428 73 foot foot NN A34005 1428 74 of of IN A34005 1428 75 the the DT A34005 1428 76 Compasses Compasses NNPS A34005 1428 77 from from IN A34005 1428 78 the the DT A34005 1428 79 Center Center NNP A34005 1428 80 is be VBZ A34005 1428 81 the the DT A34005 1428 82 Tangent Tangent NNP A34005 1428 83 of of IN A34005 1428 84 the the DT A34005 1428 85 Complement Complement NNP A34005 1428 86 of of IN A34005 1428 87 the the DT A34005 1428 88 Ark Ark NNP A34005 1428 89 sought seek VBD A34005 1428 90 to to TO A34005 1428 91 be be VB A34005 1428 92 measured measure VBN A34005 1428 93 in in IN A34005 1428 94 the the DT A34005 1428 95 greater great JJR A34005 1428 96 Tangents tangent NNS A34005 1428 97 by by IN A34005 1428 98 setting set VBG A34005 1428 99 down down RP A34005 1428 100 one one CD A34005 1428 101 foot foot NN A34005 1428 102 at at IN A34005 1428 103 90d 90d CD A34005 1428 104 , , , A34005 1428 105 and and CC A34005 1428 106 the the DT A34005 1428 107 Thread thread NN A34005 1428 108 laid lay VBN A34005 1428 109 to to IN A34005 1428 110 the the DT A34005 1428 111 other other JJ A34005 1428 112 , , , A34005 1428 113 according accord VBG A34005 1428 114 the the DT A34005 1428 115 nearest near JJS A34005 1428 116 - - HYPH A34005 1428 117 will will MD A34005 1428 118 lye lye VB A34005 1428 119 over over IN A34005 1428 120 the the DT A34005 1428 121 Tangent Tangent NNP A34005 1428 122 of of IN A34005 1428 123 19 19 CD A34005 1428 124 d. d. NN A34005 1428 125 An an DT A34005 1428 126 Example example NN A34005 1428 127 with with IN A34005 1428 128 the the DT A34005 1428 129 Radius Radius NNP A34005 1428 130 ingredient ingredient NN A34005 1428 131 and and CC A34005 1428 132 a a DT A34005 1428 133 Sine Sine NNP A34005 1428 134 sought seek VBN A34005 1428 135 , , , A34005 1428 136 Data Data NNPS A34005 1428 137 , , , A34005 1428 138 Latitude Latitude NNP A34005 1428 139 , , , A34005 1428 140 and and CC A34005 1428 141 Declination Declination NNP A34005 1428 142 , , , A34005 1428 143 to to TO A34005 1428 144 find find VB A34005 1428 145 the the DT A34005 1428 146 time time NN A34005 1428 147 when when WRB A34005 1428 148 the the DT A34005 1428 149 Sun Sun NNP A34005 1428 150 shall shall MD A34005 1428 151 be be VB A34005 1428 152 East East NNP A34005 1428 153 or or CC A34005 1428 154 West West NNP A34005 1428 155 . . . A34005 1429 1 As as IN A34005 1429 2 the the DT A34005 1429 3 Radius Radius NNP A34005 1429 4 , , , A34005 1429 5 To to IN A34005 1429 6 the the DT A34005 1429 7 Cotangent Cotangent NNP A34005 1429 8 of of IN A34005 1429 9 the the DT A34005 1429 10 Latitude Latitude NNP A34005 1429 11 : : : A34005 1429 12 So so CC A34005 1429 13 the the DT A34005 1429 14 Tangent tangent NN A34005 1429 15 of of IN A34005 1429 16 the the DT A34005 1429 17 Declination declination NN A34005 1429 18 , , , A34005 1429 19 To to IN A34005 1429 20 the the DT A34005 1429 21 Sine Sine NNP A34005 1429 22 of of IN A34005 1429 23 the the DT A34005 1429 24 hour hour NN A34005 1429 25 from from IN A34005 1429 26 6 6 CD A34005 1429 27 . . . A34005 1430 1 To to TO A34005 1430 2 be be VB A34005 1430 3 wrought work VBN A34005 1430 4 by by IN A34005 1430 5 the the DT A34005 1430 6 help help NN A34005 1430 7 of of IN A34005 1430 8 the the DT A34005 1430 9 lesser less JJR A34005 1430 10 Tangents Tangents NNP A34005 1430 11 . . . A34005 1431 1 When when WRB A34005 1431 2 the the DT A34005 1431 3 Radius radius NN A34005 1431 4 comes come VBZ A34005 1431 5 first first RB A34005 1431 6 and and CC A34005 1431 7 two two CD A34005 1431 8 Tangents tangent NNS A34005 1431 9 in in IN A34005 1431 10 the the DT A34005 1431 11 middle middle NN A34005 1431 12 , , , A34005 1431 13 change change VB A34005 1431 14 the the DT A34005 1431 15 largest large JJS A34005 1431 16 Ark Ark NNP A34005 1431 17 into into IN A34005 1431 18 its -PRON- PRP$ A34005 1431 19 Complement Complement NNP A34005 1431 20 to to TO A34005 1431 21 bring bring VB A34005 1431 22 it -PRON- PRP A34005 1431 23 into into IN A34005 1431 24 the the DT A34005 1431 25 first first JJ A34005 1431 26 place place NN A34005 1431 27 , , , A34005 1431 28 and and CC A34005 1431 29 the the DT A34005 1431 30 Radius Radius NNP A34005 1431 31 into into IN A34005 1431 32 the the DT A34005 1431 33 second second JJ A34005 1431 34 ; ; : A34005 1431 35 then then RB A34005 1431 36 take take VB A34005 1431 37 out out RP A34005 1431 38 the the DT A34005 1431 39 Tangent Tangent NNP A34005 1431 40 of of IN A34005 1431 41 the the DT A34005 1431 42 other other JJ A34005 1431 43 middle middle JJ A34005 1431 44 Ark Ark NNP A34005 1431 45 , , , A34005 1431 46 either either CC A34005 1431 47 from from IN A34005 1431 48 the the DT A34005 1431 49 foreside foreside NN A34005 1431 50 from from IN A34005 1431 51 the the DT A34005 1431 52 Scale Scale NNP A34005 1431 53 , , , A34005 1431 54 or or CC A34005 1431 55 out out IN A34005 1431 56 of of IN A34005 1431 57 the the DT A34005 1431 58 Limb Limb NNP A34005 1431 59 by by IN A34005 1431 60 setting set VBG A34005 1431 61 one one CD A34005 1431 62 foot foot NN A34005 1431 63 at at IN A34005 1431 64 the the DT A34005 1431 65 Sine Sine NNP A34005 1431 66 of of IN A34005 1431 67 90 90 CD A34005 1431 68 d d NN A34005 1431 69 , , , A34005 1431 70 and and CC A34005 1431 71 taking take VBG A34005 1431 72 the the DT A34005 1431 73 nearest near JJS A34005 1431 74 distance distance NN A34005 1431 75 to to IN A34005 1431 76 the the DT A34005 1431 77 Thread thread NN A34005 1431 78 laid lay VBN A34005 1431 79 over over IN A34005 1431 80 the the DT A34005 1431 81 Tangent Tangent NNP A34005 1431 82 given give VBN A34005 1431 83 , , , A34005 1431 84 then then RB A34005 1431 85 laying lay VBG A34005 1431 86 the the DT A34005 1431 87 Thread thread NN A34005 1431 88 to to IN A34005 1431 89 the the DT A34005 1431 90 Tangent tangent NN A34005 1431 91 of of IN A34005 1431 92 the the DT A34005 1431 93 first first JJ A34005 1431 94 Ark Ark NNP A34005 1431 95 , , , A34005 1431 96 enter enter VB A34005 1431 97 the the DT A34005 1431 98 former former JJ A34005 1431 99 extent extent NN A34005 1431 100 between between IN A34005 1431 101 the the DT A34005 1431 102 Scale Scale NNP A34005 1431 103 and and CC A34005 1431 104 the the DT A34005 1431 105 Thread thread NN A34005 1431 106 , , , A34005 1431 107 and and CC A34005 1431 108 the the DT A34005 1431 109 foot foot NN A34005 1431 110 of of IN A34005 1431 111 the the DT A34005 1431 112 Compasses Compasses NNPS A34005 1431 113 will will MD A34005 1431 114 shew shew VB A34005 1431 115 the the DT A34005 1431 116 Sine Sine NNP A34005 1431 117 sought seek VBN A34005 1431 118 . . . A34005 1432 1 Otherways otherway NNS A34005 1432 2 the the DT A34005 1432 3 two two CD A34005 1432 4 middle middle JJ A34005 1432 5 Tearms Tearms NNPS A34005 1432 6 being be VBG A34005 1432 7 Tangents tangent NNS A34005 1432 8 , , , A34005 1432 9 as as IN A34005 1432 10 also also RB A34005 1432 11 when when WRB A34005 1432 12 the the DT A34005 1432 13 first first JJ A34005 1432 14 Tearm Tearm NNP A34005 1432 15 and and CC A34005 1432 16 one one CD A34005 1432 17 of of IN A34005 1432 18 the the DT A34005 1432 19 middle middle JJ A34005 1432 20 Tearms Tearms NNPS A34005 1432 21 is be VBZ A34005 1432 22 a a DT A34005 1432 23 Tangent Tangent NNP A34005 1432 24 , , , A34005 1432 25 change change VB A34005 1432 26 the the DT A34005 1432 27 Radius Radius NNP A34005 1432 28 and and CC A34005 1432 29 one one CD A34005 1432 30 of of IN A34005 1432 31 those those DT A34005 1432 32 Tangents tangent NNS A34005 1432 33 into into IN A34005 1432 34 Sines Sines NNP A34005 1432 35 . . . A34005 1433 1 For for IN A34005 1433 2 , , , A34005 1433 3 As as IN A34005 1433 4 the the DT A34005 1433 5 Radius Radius NNP A34005 1433 6 , , , A34005 1433 7 To to IN A34005 1433 8 the the DT A34005 1433 9 Tangent Tangent NNP A34005 1433 10 of of IN A34005 1433 11 any any DT A34005 1433 12 Ark Ark NNP A34005 1433 13 : : : A34005 1433 14 So so RB A34005 1433 15 is be VBZ A34005 1433 16 the the DT A34005 1433 17 Cosine Cosine NNP A34005 1433 18 of of IN A34005 1433 19 the the DT A34005 1433 20 said say VBD A34005 1433 21 Ark Ark NNP A34005 1433 22 , , , A34005 1433 23 To to IN A34005 1433 24 the the DT A34005 1433 25 Sine Sine NNP A34005 1433 26 thereof thereof RB A34005 1433 27 . . . A34005 1434 1 And and CC A34005 1434 2 , , , A34005 1434 3 As as IN A34005 1434 4 the the DT A34005 1434 5 Tangent Tangent NNP A34005 1434 6 of of IN A34005 1434 7 any any DT A34005 1434 8 Ark Ark NNP A34005 1434 9 , , , A34005 1434 10 To to IN A34005 1434 11 Radius Radius NNP A34005 1434 12 : : : A34005 1434 13 So so RB A34005 1434 14 is be VBZ A34005 1434 15 the the DT A34005 1434 16 Sine Sine NNP A34005 1434 17 of of IN A34005 1434 18 that that DT A34005 1434 19 Ark Ark NNP A34005 1434 20 , , , A34005 1434 21 To to IN A34005 1434 22 the the DT A34005 1434 23 Cosine Cosine NNP A34005 1434 24 thereof thereof RB A34005 1434 25 . . . A34005 1435 1 And and CC A34005 1435 2 so so RB A34005 1435 3 the the DT A34005 1435 4 former former JJ A34005 1435 5 Proportion Proportion NNP A34005 1435 6 changed change VBN A34005 1435 7 will will MD A34005 1435 8 be be VB A34005 1435 9 , , , A34005 1435 10 As as IN A34005 1435 11 the the DT A34005 1435 12 Sine Sine NNP A34005 1435 13 of of IN A34005 1435 14 the the DT A34005 1435 15 Latitude Latitude NNP A34005 1435 16 , , , A34005 1435 17 To to IN A34005 1435 18 the the DT A34005 1435 19 Cosine Cosine NNP A34005 1435 20 of of IN A34005 1435 21 the the DT A34005 1435 22 Latitude Latitude NNP A34005 1435 23 : : : A34005 1435 24 So so CC A34005 1435 25 the the DT A34005 1435 26 Tangent tangent NN A34005 1435 27 of of IN A34005 1435 28 the the DT A34005 1435 29 Declination declination NN A34005 1435 30 , , , A34005 1435 31 To to IN A34005 1435 32 the the DT A34005 1435 33 Sine Sine NNP A34005 1435 34 of of IN A34005 1435 35 the the DT A34005 1435 36 hour hour NN A34005 1435 37 from from IN A34005 1435 38 six six CD A34005 1435 39 , , , A34005 1435 40 When when WRB A34005 1435 41 the the DT A34005 1435 42 Sun Sun NNP A34005 1435 43 shall shall MD A34005 1435 44 be be VB A34005 1435 45 East East NNP A34005 1435 46 or or CC A34005 1435 47 West West NNP A34005 1435 48 . . . A34005 1436 1 Example example NN A34005 1436 2 . . . A34005 1437 1 If if IN A34005 1437 2 the the DT A34005 1437 3 Declination Declination NNP A34005 1437 4 were be VBD A34005 1437 5 23d 23d CD A34005 1437 6 30′ 30′ CD A34005 1437 7 North North NNP A34005 1437 8 , , , A34005 1437 9 in in IN A34005 1437 10 our -PRON- PRP$ A34005 1437 11 Latititude Latititude NNP A34005 1437 12 of of IN A34005 1437 13 London London NNP A34005 1437 14 51d 51d NNS A34005 1437 15 32′ 32′ CD A34005 1437 16 to to TO A34005 1437 17 find find VB A34005 1437 18 the the DT A34005 1437 19 Sine Sine NNP A34005 1437 20 sought seek VBN A34005 1437 21 , , , A34005 1437 22 Lay Lay NNP A34005 1437 23 the the DT A34005 1437 24 Thread thread NN A34005 1437 25 to to IN A34005 1437 26 the the DT A34005 1437 27 Tangent Tangent NNP A34005 1437 28 of of IN A34005 1437 29 the the DT A34005 1437 30 Declination declination NN A34005 1437 31 in in IN A34005 1437 32 the the DT A34005 1437 33 Limb Limb NNP A34005 1437 34 , , , A34005 1437 35 and and CC A34005 1437 36 from from IN A34005 1437 37 the the DT A34005 1437 38 Complement Complement NNP A34005 1437 39 of of IN A34005 1437 40 the the DT A34005 1437 41 Latitude Latitude NNP A34005 1437 42 in in IN A34005 1437 43 the the DT A34005 1437 44 Sines Sines NNPS A34005 1437 45 take take VBP A34005 1437 46 the the DT A34005 1437 47 nearest near JJS A34005 1437 48 distance distance NN A34005 1437 49 to to IN A34005 1437 50 it -PRON- PRP A34005 1437 51 , , , A34005 1437 52 then then RB A34005 1437 53 lay lay VB A34005 1437 54 the the DT A34005 1437 55 Thread thread NN A34005 1437 56 to to IN A34005 1437 57 the the DT A34005 1437 58 Sine Sine NNP A34005 1437 59 of of IN A34005 1437 60 the the DT A34005 1437 61 Latitude Latitude NNP A34005 1437 62 in in IN A34005 1437 63 the the DT A34005 1437 64 lesser less JJR A34005 1437 65 Sines Sines NNPS A34005 1437 66 and and CC A34005 1437 67 enter enter VB A34005 1437 68 the the DT A34005 1437 69 former former JJ A34005 1437 70 extent extent NN A34005 1437 71 between between IN A34005 1437 72 the the DT A34005 1437 73 Thread Thread NNP A34005 1437 74 and and CC A34005 1437 75 the the DT A34005 1437 76 Scale Scale NNP A34005 1437 77 and and CC A34005 1437 78 the the DT A34005 1437 79 foot foot NN A34005 1437 80 of of IN A34005 1437 81 the the DT A34005 1437 82 Compasses Compasses NNPS A34005 1437 83 sheweth sheweth VBZ A34005 1437 84 the the DT A34005 1437 85 answer answer NN A34005 1437 86 in in IN A34005 1437 87 degrees degree NNS A34005 1437 88 , , , A34005 1437 89 if if IN A34005 1437 90 the the DT A34005 1437 91 Thread thread NN A34005 1437 92 be be VB A34005 1437 93 laid lay VBN A34005 1437 94 to to IN A34005 1437 95 the the DT A34005 1437 96 Ark Ark NNP A34005 1437 97 found find VBD A34005 1437 98 in in IN A34005 1437 99 the the DT A34005 1437 100 Limb Limb NNP A34005 1437 101 it -PRON- PRP A34005 1437 102 there there RB A34005 1437 103 sheweth sheweth VBZ A34005 1437 104 it -PRON- PRP A34005 1437 105 in in IN A34005 1437 106 Time Time NNP A34005 1437 107 ; ; : A34005 1437 108 So so RB A34005 1437 109 in in IN A34005 1437 110 this this DT A34005 1437 111 Example Example NNP A34005 1437 112 the the DT A34005 1437 113 time time NN A34005 1437 114 sought seek VBD A34005 1437 115 is be VBZ A34005 1437 116 20d 20d CD A34005 1437 117 14′ 14′ CD A34005 1437 118 , , , A34005 1437 119 or or CC A34005 1437 120 in in IN A34005 1437 121 Time Time NNP A34005 1437 122 1 1 CD A34005 1437 123 h h CD A34005 1437 124 17 17 CD A34005 1437 125 h h NN A34005 1437 126 before before IN A34005 1437 127 6 6 CD A34005 1437 128 in in IN A34005 1437 129 the the DT A34005 1437 130 morning morning NN A34005 1437 131 or or CC A34005 1437 132 after after IN A34005 1437 133 it -PRON- PRP A34005 1437 134 in in IN A34005 1437 135 in in IN A34005 1437 136 the the DT A34005 1437 137 Evening evening NN A34005 1437 138 . . . A34005 1438 1 If if IN A34005 1438 2 the the DT A34005 1438 3 Latitude Latitude NNP A34005 1438 4 and and CC A34005 1438 5 Declination Declination NNP A34005 1438 6 were be VBD A34005 1438 7 given give VBN A34005 1438 8 , , , A34005 1438 9 To to TO A34005 1438 10 find find VB A34005 1438 11 the the DT A34005 1438 12 Suns Suns NNPS A34005 1438 13 Azimuth Azimuth NNP A34005 1438 14 at at IN A34005 1438 15 the the DT A34005 1438 16 Hour Hour NNP A34005 1438 17 of of IN A34005 1438 18 6 6 CD A34005 1438 19 . . . A34005 1439 1 As as IN A34005 1439 2 the the DT A34005 1439 3 Radius Radius NNP A34005 1439 4 , , , A34005 1439 5 To to IN A34005 1439 6 Cosine Cosine NNP A34005 1439 7 of of IN A34005 1439 8 the the DT A34005 1439 9 Latitude Latitude NNP A34005 1439 10 : : : A34005 1439 11 So so CC A34005 1439 12 the the DT A34005 1439 13 Tangent tangent NN A34005 1439 14 of of IN A34005 1439 15 the the DT A34005 1439 16 Suns Suns NNPS A34005 1439 17 Declination Declination NNP A34005 1439 18 , , , A34005 1439 19 To to IN A34005 1439 20 the the DT A34005 1439 21 Tangent tangent NN A34005 1439 22 of of IN A34005 1439 23 his -PRON- PRP$ A34005 1439 24 Azimuth azimuth NN A34005 1439 25 from from IN A34005 1439 26 the the DT A34005 1439 27 Vertical Vertical NNP A34005 1439 28 . . . A34005 1440 1 In in IN A34005 1440 2 this this DT A34005 1440 3 Case case NN A34005 1440 4 a a DT A34005 1440 5 Tangent Tangent NNP A34005 1440 6 being be VBG A34005 1440 7 the the DT A34005 1440 8 4th 4th JJ A34005 1440 9 Tearm Tearm NNP A34005 1440 10 sought seek VBN A34005 1440 11 , , , A34005 1440 12 the the DT A34005 1440 13 Operation operation NN A34005 1440 14 is be VBZ A34005 1440 15 very very RB A34005 1440 16 facil facil NN A34005 1440 17 . . . A34005 1441 1 Lay lay VB A34005 1441 2 the the DT A34005 1441 3 Thread thread NN A34005 1441 4 to to IN A34005 1441 5 the the DT A34005 1441 6 Tangent Tangent NNP A34005 1441 7 of of IN A34005 1441 8 the the DT A34005 1441 9 Declination declination NN A34005 1441 10 in in IN A34005 1441 11 the the DT A34005 1441 12 lesser less JJR A34005 1441 13 Tangents tangent NNS A34005 1441 14 , , , A34005 1441 15 and and CC A34005 1441 16 from from IN A34005 1441 17 the the DT A34005 1441 18 Cosine Cosine NNP A34005 1441 19 of of IN A34005 1441 20 the the DT A34005 1441 21 Latitude Latitude NNP A34005 1441 22 take take VB A34005 1441 23 the the DT A34005 1441 24 nearest near JJS A34005 1441 25 distance distance NN A34005 1441 26 to to IN A34005 1441 27 it -PRON- PRP A34005 1441 28 , , , A34005 1441 29 and and CC A34005 1441 30 either either DT A34005 1441 31 measure measure VB A34005 1441 32 that that DT A34005 1441 33 extent extent NN A34005 1441 34 on on IN A34005 1441 35 the the DT A34005 1441 36 Tangents Tangents NNP A34005 1441 37 on on IN A34005 1441 38 the the DT A34005 1441 39 foreside foreside NN A34005 1441 40 , , , A34005 1441 41 or or CC A34005 1441 42 set set VB A34005 1441 43 one one CD A34005 1441 44 foot foot NN A34005 1441 45 of of IN A34005 1441 46 that that DT A34005 1441 47 extent extent NN A34005 1441 48 upon upon IN A34005 1441 49 the the DT A34005 1441 50 Sine Sine NNP A34005 1441 51 of of IN A34005 1441 52 90d 90d CD A34005 1441 53 , , , A34005 1441 54 and and CC A34005 1441 55 to to IN A34005 1441 56 the the DT A34005 1441 57 other other JJ A34005 1441 58 lay lie VBD A34005 1441 59 the the DT A34005 1441 60 Thread thread NN A34005 1441 61 and and CC A34005 1441 62 it -PRON- PRP A34005 1441 63 will will MD A34005 1441 64 intersect intersect VB A34005 1441 65 the the DT A34005 1441 66 Tangent tangent NN A34005 1441 67 sought seek VBN A34005 1441 68 in in IN A34005 1441 69 the the DT A34005 1441 70 Limb Limb NNP A34005 1441 71 : : : A34005 1441 72 So so RB A34005 1441 73 in in IN A34005 1441 74 our -PRON- PRP$ A34005 1441 75 Latitude Latitude NNP A34005 1441 76 when when WRB A34005 1441 77 the the DT A34005 1441 78 Sun Sun NNP A34005 1441 79 hath hath NNP A34005 1441 80 23d 23d NNP A34005 1441 81 30′ 30′ CD A34005 1441 82 of of IN A34005 1441 83 declination declination NN A34005 1441 84 , , , A34005 1441 85 his -PRON- PRP$ A34005 1441 86 Azimuth Azimuth NNP A34005 1441 87 at at IN A34005 1441 88 the the DT A34005 1441 89 hour hour NN A34005 1441 90 of of IN A34005 1441 91 6 6 CD A34005 1441 92 will will MD A34005 1441 93 be be VB A34005 1441 94 15 15 CD A34005 1441 95 d d CD A34005 1441 96 9′ 9′ CD A34005 1441 97 from from IN A34005 1441 98 the the DT A34005 1441 99 East East NNP A34005 1441 100 or or CC A34005 1441 101 West West NNP A34005 1441 102 . . . A34005 1442 1 Another another DT A34005 1442 2 Example Example NNP A34005 1442 3 , , , A34005 1442 4 So so CC A34005 1442 5 if if IN A34005 1442 6 the the DT A34005 1442 7 Suns Suns NNP A34005 1442 8 distance distance NN A34005 1442 9 from from IN A34005 1442 10 the the DT A34005 1442 11 nearest near JJS A34005 1442 12 Equinoctial equinoctial JJ A34005 1442 13 Point Point NNP A34005 1442 14 were be VBD A34005 1442 15 60 60 CD A34005 1442 16 d d NNS A34005 1442 17 , , , A34005 1442 18 his -PRON- PRP$ A34005 1442 19 right right JJ A34005 1442 20 Ascension ascension NN A34005 1442 21 would would MD A34005 1442 22 be be VB A34005 1442 23 found find VBN A34005 1442 24 to to TO A34005 1442 25 be be VB A34005 1442 26 57 57 CD A34005 1442 27 d d NN A34005 1442 28 48′ 48′ CD A34005 1442 29 . . . A34005 1443 1 The the DT A34005 1443 2 Proportion proportion NN A34005 1443 3 to to TO A34005 1443 4 perform perform VB A34005 1443 5 this this DT A34005 1443 6 Proposition proposition NN A34005 1443 7 is be VBZ A34005 1443 8 , , , A34005 1443 9 As as IN A34005 1443 10 the the DT A34005 1443 11 Radius Radius NNP A34005 1443 12 , , , A34005 1443 13 To to IN A34005 1443 14 the the DT A34005 1443 15 Cosine Cosine NNP A34005 1443 16 of of IN A34005 1443 17 the the DT A34005 1443 18 Suns Suns NNPS A34005 1443 19 greatest great JJS A34005 1443 20 Declination declination NN A34005 1443 21 : : : A34005 1443 22 So so CC A34005 1443 23 the the DT A34005 1443 24 Tangent tangent NN A34005 1443 25 of of IN A34005 1443 26 the the DT A34005 1443 27 Suns Suns NNP A34005 1443 28 distance distance NN A34005 1443 29 from from IN A34005 1443 30 the the DT A34005 1443 31 next next JJ A34005 1443 32 Equinoctial Equinoctial NNP A34005 1443 33 Point Point NNP A34005 1443 34 , , , A34005 1443 35 To to IN A34005 1443 36 the the DT A34005 1443 37 Tangent tangent NN A34005 1443 38 of of IN A34005 1443 39 the the DT A34005 1443 40 Suns Suns NNPS A34005 1443 41 right right NN A34005 1443 42 Ascension ascension NN A34005 1443 43 , , , A34005 1443 44 or or CC A34005 1443 45 when when WRB A34005 1443 46 the the DT A34005 1443 47 Tangents tangent NNS A34005 1443 48 are be VBP A34005 1443 49 large large JJ A34005 1443 50 , , , A34005 1443 51 As as IN A34005 1443 52 the the DT A34005 1443 53 Cosine Cosine NNP A34005 1443 54 of of IN A34005 1443 55 the the DT A34005 1443 56 Suns Suns NNPS A34005 1443 57 greatest great JJS A34005 1443 58 declination declination NN A34005 1443 59 , , , A34005 1443 60 To to IN A34005 1443 61 Radius Radius NNP A34005 1443 62 : : : A34005 1443 63 So so CC A34005 1443 64 the the DT A34005 1443 65 Cotangent Cotangent NNP A34005 1443 66 of of IN A34005 1443 67 the the DT A34005 1443 68 Suns Suns NNP A34005 1443 69 distance distance NN A34005 1443 70 from from IN A34005 1443 71 the the DT A34005 1443 72 Equinoctial Equinoctial NNP A34005 1443 73 Point Point NNP A34005 1443 74 . . . A34005 1444 1 To to IN A34005 1444 2 the the DT A34005 1444 3 Cotangent Cotangent NNP A34005 1444 4 of of IN A34005 1444 5 his -PRON- PRP$ A34005 1444 6 right right JJ A34005 1444 7 Ascension ascension NN A34005 1444 8 . . . A34005 1445 1 By by IN A34005 1445 2 what what WP A34005 1445 3 hath hath NNP A34005 1445 4 been be VBN A34005 1445 5 said say VBN A34005 1445 6 it -PRON- PRP A34005 1445 7 appears appear VBZ A34005 1445 8 that that IN A34005 1445 9 the the DT A34005 1445 10 working work VBG A34005 1445 11 Proportions Proportions NNP A34005 1445 12 by by IN A34005 1445 13 the the DT A34005 1445 14 natural natural JJ A34005 1445 15 Lines Lines NNP A34005 1445 16 is be VBZ A34005 1445 17 more more RBR A34005 1445 18 troublesome troublesome JJ A34005 1445 19 then then RB A34005 1445 20 by by IN A34005 1445 21 the the DT A34005 1445 22 Logarithmical Logarithmical NNP A34005 1445 23 , , , A34005 1445 24 however however RB A34005 1445 25 this this DT A34005 1445 26 trouble trouble NN A34005 1445 27 wil wil MD A34005 1445 28 be be VB A34005 1445 29 shunned shun VBN A34005 1445 30 in in IN A34005 1445 31 the the DT A34005 1445 32 use use NN A34005 1445 33 of of IN A34005 1445 34 the the DT A34005 1445 35 great great JJ A34005 1445 36 Quadrant Quadrant NNP A34005 1445 37 by by IN A34005 1445 38 help help NN A34005 1445 39 of of IN A34005 1445 40 the the DT A34005 1445 41 Circle Circle NNP A34005 1445 42 on on IN A34005 1445 43 the the DT A34005 1445 44 backside backside NN A34005 1445 45 . . . A34005 1446 1 I -PRON- PRP A34005 1446 2 now now RB A34005 1446 3 come come VBP A34005 1446 4 to to TO A34005 1446 5 shew shew VB A34005 1446 6 how how WRB A34005 1446 7 the the DT A34005 1446 8 Hour Hour NNP A34005 1446 9 of of IN A34005 1446 10 the the DT A34005 1446 11 Day day NN A34005 1446 12 , , , A34005 1446 13 and and CC A34005 1446 14 the the DT A34005 1446 15 Azimuth Azimuth NNP A34005 1446 16 of of IN A34005 1446 17 the the DT A34005 1446 18 Sun Sun NNP A34005 1446 19 may may MD A34005 1446 20 be be VB A34005 1446 21 found find VBN A34005 1446 22 universally universally RB A34005 1446 23 by by IN A34005 1446 24 the the DT A34005 1446 25 Lines line NNS A34005 1446 26 on on IN A34005 1446 27 the the DT A34005 1446 28 Quadrant Quadrant NNP A34005 1446 29 , , , A34005 1446 30 which which WDT A34005 1446 31 is be VBZ A34005 1446 32 the the DT A34005 1446 33 principal principal JJ A34005 1446 34 thing thing NN A34005 1446 35 intended intend VBN A34005 1446 36 . . . A34005 1447 1 The the DT A34005 1447 2 first first JJ A34005 1447 3 Operation operation NN A34005 1447 4 for for IN A34005 1447 5 the the DT A34005 1447 6 Hour hour NN A34005 1447 7 will will MD A34005 1447 8 be be VB A34005 1447 9 to to TO A34005 1447 10 find find VB A34005 1447 11 what what WP A34005 1447 12 Altitude Altitude NNP A34005 1447 13 or or CC A34005 1447 14 Depression depression NN A34005 1447 15 the the DT A34005 1447 16 Sun Sun NNP A34005 1447 17 shall shall MD A34005 1447 18 have have VB A34005 1447 19 at at IN A34005 1447 20 the the DT A34005 1447 21 hour hour NN A34005 1447 22 of of IN A34005 1447 23 6 6 CD A34005 1447 24 . . . A34005 1448 1 The the DT A34005 1448 2 Proportion proportion NN A34005 1448 3 to to TO A34005 1448 4 find find VB A34005 1448 5 it -PRON- PRP A34005 1448 6 is be VBZ A34005 1448 7 , , , A34005 1448 8 As as IN A34005 1448 9 the the DT A34005 1448 10 Radius Radius NNP A34005 1448 11 , , , A34005 1448 12 To to IN A34005 1448 13 the the DT A34005 1448 14 Sine Sine NNP A34005 1448 15 of of IN A34005 1448 16 the the DT A34005 1448 17 Latitude Latitude NNP A34005 1448 18 : : : A34005 1448 19 So so RB A34005 1448 20 the the DT A34005 1448 21 sine sine NN A34005 1448 22 of of IN A34005 1448 23 the the DT A34005 1448 24 Suns Suns NNPS A34005 1448 25 Declination Declination NNP A34005 1448 26 , , , A34005 1448 27 To to IN A34005 1448 28 the the DT A34005 1448 29 sine sine NN A34005 1448 30 of of IN A34005 1448 31 the the DT A34005 1448 32 Altitude Altitude NNP A34005 1448 33 sought seek VBD A34005 1448 34 . . . A34005 1449 1 Example example NN A34005 1449 2 . . . A34005 1450 1 So so CC A34005 1450 2 in in IN A34005 1450 3 Latitude Latitude NNP A34005 1450 4 51 51 CD A34005 1450 5 d d NNP A34005 1450 6 32′ 32′ CD A34005 1450 7 , , , A34005 1450 8 the the DT A34005 1450 9 Suns Suns NNP A34005 1450 10 declination declination NN A34005 1450 11 being be VBG A34005 1450 12 23 23 CD A34005 1450 13 d d CD A34005 1450 14 31′ 31′ CD A34005 1450 15 , , , A34005 1450 16 To to TO A34005 1450 17 find find VB A34005 1450 18 his -PRON- PRP$ A34005 1450 19 Altitude altitude NN A34005 1450 20 or or CC A34005 1450 21 Depression depression NN A34005 1450 22 at at IN A34005 1450 23 6 6 CD A34005 1450 24 , , , A34005 1450 25 Lay Lay NNP A34005 1450 26 the the DT A34005 1450 27 Thread thread NN A34005 1450 28 to to IN A34005 1450 29 the the DT A34005 1450 30 Sine Sine NNP A34005 1450 31 of of IN A34005 1450 32 the the DT A34005 1450 33 Latitude Latitude NNP A34005 1450 34 in in IN A34005 1450 35 the the DT A34005 1450 36 Limb Limb NNP A34005 1450 37 , , , A34005 1450 38 and and CC A34005 1450 39 from from IN A34005 1450 40 the the DT A34005 1450 41 sine sine NN A34005 1450 42 of of IN A34005 1450 43 the the DT A34005 1450 44 Suns Suns NNPS A34005 1450 45 Declination Declination NNP A34005 1450 46 take take VB A34005 1450 47 the the DT A34005 1450 48 nearest near JJS A34005 1450 49 distance distance NN A34005 1450 50 to to IN A34005 1450 51 it -PRON- PRP A34005 1450 52 , , , A34005 1450 53 which which WDT A34005 1450 54 extent extent NN A34005 1450 55 measured measure VBN A34005 1450 56 from from IN A34005 1450 57 the the DT A34005 1450 58 Center Center NNP A34005 1450 59 will will MD A34005 1450 60 be be VB A34005 1450 61 found find VBN A34005 1450 62 to to TO A34005 1450 63 be be VB A34005 1450 64 18 18 CD A34005 1450 65 d d NN A34005 1450 66 12′ 12′ CD A34005 1450 67 . . . A34005 1451 1 This this DT A34005 1451 2 remains remain VBZ A34005 1451 3 fixed fix VBN A34005 1451 4 for for IN A34005 1451 5 one one CD A34005 1451 6 Day day NN A34005 1451 7 , , , A34005 1451 8 and and CC A34005 1451 9 therefore therefore RB A34005 1451 10 must must MD A34005 1451 11 be be VB A34005 1451 12 recorded record VBN A34005 1451 13 , , , A34005 1451 14 or or CC A34005 1451 15 have have VBP A34005 1451 16 a a DT A34005 1451 17 mark mark NN A34005 1451 18 set set VBN A34005 1451 19 to to IN A34005 1451 20 it -PRON- PRP A34005 1451 21 . . . A34005 1452 1 Afterwards afterwards RB A34005 1452 2 the the DT A34005 1452 3 Proportion proportion NN A34005 1452 4 is be VBZ A34005 1452 5 , , , A34005 1452 6 As as IN A34005 1452 7 the the DT A34005 1452 8 Cosine Cosine NNP A34005 1452 9 of of IN A34005 1452 10 the the DT A34005 1452 11 Declination declination NN A34005 1452 12 , , , A34005 1452 13 To to IN A34005 1452 14 the the DT A34005 1452 15 Secant secant NN A34005 1452 16 of of IN A34005 1452 17 the the DT A34005 1452 18 Latitude Latitude NNP A34005 1452 19 , , , A34005 1452 20 Or or CC A34005 1452 21 , , , A34005 1452 22 As as IN A34005 1452 23 the the DT A34005 1452 24 Cosine Cosine NNP A34005 1452 25 of of IN A34005 1452 26 the the DT A34005 1452 27 Latitude Latitude NNP A34005 1452 28 , , , A34005 1452 29 To to IN A34005 1452 30 the the DT A34005 1452 31 Secant secant NN A34005 1452 32 of of IN A34005 1452 33 the the DT A34005 1452 34 Declination declination NN A34005 1452 35 : : : A34005 1452 36 So so RB A34005 1452 37 in in IN A34005 1452 38 Summer summer NN A34005 1452 39 is be VBZ A34005 1452 40 the the DT A34005 1452 41 difference difference NN A34005 1452 42 , , , A34005 1452 43 but but CC A34005 1452 44 in in IN A34005 1452 45 Winter winter NN A34005 1452 46 the the DT A34005 1452 47 Sum Sum NNP A34005 1452 48 of of IN A34005 1452 49 the the DT A34005 1452 50 sines sine NNS A34005 1452 51 of of IN A34005 1452 52 the the DT A34005 1452 53 Suns Suns NNPS A34005 1452 54 proposed propose VBD A34005 1452 55 or or CC A34005 1452 56 observed observe VBN A34005 1452 57 Altitude altitude NN A34005 1452 58 , , , A34005 1452 59 and and CC A34005 1452 60 of of IN A34005 1452 61 his -PRON- PRP$ A34005 1452 62 Altitude Altitude NNP A34005 1452 63 or or CC A34005 1452 64 Depression depression NN A34005 1452 65 at at IN A34005 1452 66 6 6 CD A34005 1452 67 , , , A34005 1452 68 To to IN A34005 1452 69 the the DT A34005 1452 70 Sine Sine NNP A34005 1452 71 of of IN A34005 1452 72 the the DT A34005 1452 73 hour hour NN A34005 1452 74 from from IN A34005 1452 75 6 6 CD A34005 1452 76 towards towards IN A34005 1452 77 Noon Noon NNP A34005 1452 78 in in IN A34005 1452 79 Winter Winter NNP A34005 1452 80 , , , A34005 1452 81 as as IN A34005 1452 82 also also RB A34005 1452 83 in in IN A34005 1452 84 Summer summer NN A34005 1452 85 when when WRB A34005 1452 86 the the DT A34005 1452 87 Altitude altitude NN A34005 1452 88 is be VBZ A34005 1452 89 more more JJR A34005 1452 90 then then RB A34005 1452 91 the the DT A34005 1452 92 Altitude Altitude NNP A34005 1452 93 of of IN A34005 1452 94 6 6 CD A34005 1452 95 , , , A34005 1452 96 otherways otherway NNS A34005 1452 97 towards towards IN A34005 1452 98 Midnight Midnight NNP A34005 1452 99 . . . A34005 1453 1 To to TO A34005 1453 2 Operate operate VB A34005 1453 3 this this DT A34005 1453 4 . . . A34005 1454 1 In in IN A34005 1454 2 Winter Winter NNP A34005 1454 3 to to IN A34005 1454 4 the the DT A34005 1454 5 sine sine NN A34005 1454 6 of of IN A34005 1454 7 the the DT A34005 1454 8 Suns Suns NNP A34005 1454 9 Depression Depression NNP A34005 1454 10 at at IN A34005 1454 11 6 6 CD A34005 1454 12 , , , A34005 1454 13 add add VB A34005 1454 14 the the DT A34005 1454 15 sine sine NN A34005 1454 16 of of IN A34005 1454 17 the the DT A34005 1454 18 Altitude Altitude NNP A34005 1454 19 proposed propose VBN A34005 1454 20 , , , A34005 1454 21 by by IN A34005 1454 22 setting set VBG A34005 1454 23 down down RP A34005 1454 24 the the DT A34005 1454 25 extent extent NN A34005 1454 26 hereof hereof NNP A34005 1454 27 outward outward RB A34005 1454 28 at at IN A34005 1454 29 the the DT A34005 1454 30 end end NN A34005 1454 31 of of IN A34005 1454 32 the the DT A34005 1454 33 former former JJ A34005 1454 34 extent extent NN A34005 1454 35 ; ; : A34005 1454 36 in in IN A34005 1454 37 Summer summer NN A34005 1454 38 take take VBP A34005 1454 39 the the DT A34005 1454 40 distance distance NN A34005 1454 41 between between IN A34005 1454 42 the the DT A34005 1454 43 sine sine NN A34005 1454 44 of of IN A34005 1454 45 the the DT A34005 1454 46 Suns Suns NNPS A34005 1454 47 Altitude Altitude NNP A34005 1454 48 , , , A34005 1454 49 and and CC A34005 1454 50 the the DT A34005 1454 51 sine sine NN A34005 1454 52 of of IN A34005 1454 53 his -PRON- PRP$ A34005 1454 54 Altitude altitude NN A34005 1454 55 at at IN A34005 1454 56 6 6 CD A34005 1454 57 , , , A34005 1454 58 and and CC A34005 1454 59 enter enter VB A34005 1454 60 either either DT A34005 1454 61 of of IN A34005 1454 62 these these DT A34005 1454 63 extents extent NNS A34005 1454 64 twice twice RB A34005 1454 65 down down IN A34005 1454 66 the the DT A34005 1454 67 Line Line NNP A34005 1454 68 of of IN A34005 1454 69 sines sine NNS A34005 1454 70 from from IN A34005 1454 71 the the DT A34005 1454 72 Center Center NNP A34005 1454 73 , , , A34005 1454 74 then then RB A34005 1454 75 lay lie VBD A34005 1454 76 the the DT A34005 1454 77 Thread thread NN A34005 1454 78 to to IN A34005 1454 79 the the DT A34005 1454 80 Secant secant NN A34005 1454 81 being be VBG A34005 1454 82 one one CD A34005 1454 83 of of IN A34005 1454 84 the the DT A34005 1454 85 middle middle JJ A34005 1454 86 Tearms Tearms NNP A34005 1454 87 , , , A34005 1454 88 and and CC A34005 1454 89 take take VB A34005 1454 90 the the DT A34005 1454 91 nearest near JJS A34005 1454 92 distance distance NN A34005 1454 93 to to IN A34005 1454 94 it -PRON- PRP A34005 1454 95 . . . A34005 1455 1 Lastly lastly RB A34005 1455 2 , , , A34005 1455 3 enter enter VB A34005 1455 4 one one CD A34005 1455 5 foot foot NN A34005 1455 6 of of IN A34005 1455 7 this this DT A34005 1455 8 extent extent NN A34005 1455 9 at at IN A34005 1455 10 the the DT A34005 1455 11 first first JJ A34005 1455 12 Tearm Tearm NNP A34005 1455 13 , , , A34005 1455 14 being be VBG A34005 1455 15 a a DT A34005 1455 16 Sine Sine NNP A34005 1455 17 , , , A34005 1455 18 and and CC A34005 1455 19 to to IN A34005 1455 20 the the DT A34005 1455 21 other other JJ A34005 1455 22 foot foot NN A34005 1455 23 lay lie VBD A34005 1455 24 the the DT A34005 1455 25 Thread thread NN A34005 1455 26 , , , A34005 1455 27 and and CC A34005 1455 28 in in IN A34005 1455 29 the the DT A34005 1455 30 equal equal JJ A34005 1455 31 Limb Limb NNP A34005 1455 32 it -PRON- PRP A34005 1455 33 shews shew VBZ A34005 1455 34 the the DT A34005 1455 35 hour hour NN A34005 1455 36 from from IN A34005 1455 37 6 6 CD A34005 1455 38 , , , A34005 1455 39 which which WDT A34005 1455 40 is be VBZ A34005 1455 41 accordingly accordingly RB A34005 1455 42 numbred numbre VBN A34005 1455 43 with with IN A34005 1455 44 hours hour NNS A34005 1455 45 . . . A34005 1456 1 But but CC A34005 1456 2 when when WRB A34005 1456 3 the the DT A34005 1456 4 Hour Hour NNP A34005 1456 5 is be VBZ A34005 1456 6 neer neer NN A34005 1456 7 Noon Noon NNP A34005 1456 8 , , , A34005 1456 9 the the DT A34005 1456 10 answer answer NN A34005 1456 11 may may MD A34005 1456 12 be be VB A34005 1456 13 found find VBN A34005 1456 14 in in IN A34005 1456 15 the the DT A34005 1456 16 Line Line NNP A34005 1456 17 of of IN A34005 1456 18 Sines Sines NNPS A34005 1456 19 with with IN A34005 1456 20 more more JJR A34005 1456 21 certainty certainty NN A34005 1456 22 by by IN A34005 1456 23 laying lay VBG A34005 1456 24 the the DT A34005 1456 25 Thread thread NN A34005 1456 26 to to IN A34005 1456 27 the the DT A34005 1456 28 first first JJ A34005 1456 29 Tearm Tearm NNP A34005 1456 30 in in IN A34005 1456 31 the the DT A34005 1456 32 Limb Limb NNP A34005 1456 33 , , , A34005 1456 34 and and CC A34005 1456 35 entring entre VBG A34005 1456 36 the the DT A34005 1456 37 latter latter JJ A34005 1456 38 extent extent NN A34005 1456 39 Parralelly Parralelly NNP A34005 1456 40 between between IN A34005 1456 41 the the DT A34005 1456 42 Scale Scale NNP A34005 1456 43 and and CC A34005 1456 44 the the DT A34005 1456 45 Thread thread NN A34005 1456 46 . . . A34005 1457 1 Otherways otherway NNS A34005 1457 2 . . . A34005 1458 1 Enter enter VB A34005 1458 2 the the DT A34005 1458 3 aforesaid aforesaid JJ A34005 1458 4 sum sum NN A34005 1458 5 or or CC A34005 1458 6 difference difference NN A34005 1458 7 of of IN A34005 1458 8 sines sine NNS A34005 1458 9 once once RB A34005 1458 10 down down IN A34005 1458 11 the the DT A34005 1458 12 Line Line NNP A34005 1458 13 of of IN A34005 1458 14 Sines Sines NNPS A34005 1458 15 from from IN A34005 1458 16 the the DT A34005 1458 17 Center Center NNP A34005 1458 18 , , , A34005 1458 19 and and CC A34005 1458 20 laying lay VBG A34005 1458 21 the the DT A34005 1458 22 Thread thread NN A34005 1458 23 to to IN A34005 1458 24 the the DT A34005 1458 25 Secant secant NN A34005 1458 26 , , , A34005 1458 27 being be VBG A34005 1458 28 one one CD A34005 1458 29 of of IN A34005 1458 30 the the DT A34005 1458 31 middle middle JJ A34005 1458 32 Tearms Tearms NNP A34005 1458 33 , , , A34005 1458 34 take take VB A34005 1458 35 the the DT A34005 1458 36 nearest near JJS A34005 1458 37 distance distance NN A34005 1458 38 to to IN A34005 1458 39 it -PRON- PRP A34005 1458 40 , , , A34005 1458 41 then then RB A34005 1458 42 lay lay VB A34005 1458 43 the the DT A34005 1458 44 Thread thread NN A34005 1458 45 to to IN A34005 1458 46 the the DT A34005 1458 47 first first JJ A34005 1458 48 Ark Ark NNP A34005 1458 49 in in IN A34005 1458 50 the the DT A34005 1458 51 lesser less JJR A34005 1458 52 sines sine NNS A34005 1458 53 , , , A34005 1458 54 and and CC A34005 1458 55 enter enter VB A34005 1458 56 the the DT A34005 1458 57 former former JJ A34005 1458 58 extent extent NN A34005 1458 59 between between IN A34005 1458 60 the the DT A34005 1458 61 Thread Thread NNP A34005 1458 62 and and CC A34005 1458 63 the the DT A34005 1458 64 Scale Scale NNP A34005 1458 65 , , , A34005 1458 66 and and CC A34005 1458 67 the the DT A34005 1458 68 foot foot NN A34005 1458 69 on on IN A34005 1458 70 the the DT A34005 1458 71 Compasses compass NNS A34005 1458 72 on on IN A34005 1458 73 the the DT A34005 1458 74 Line Line NNP A34005 1458 75 sheweth sheweth NN A34005 1458 76 the the DT A34005 1458 77 Sine Sine NNP A34005 1458 78 of of IN A34005 1458 79 the the DT A34005 1458 80 Hour Hour NNP A34005 1458 81 . . . A34005 1459 1 Example example NN A34005 1459 2 . . . A34005 1460 1 If if IN A34005 1460 2 the the DT A34005 1460 3 Altitude altitude NN A34005 1460 4 were be VBD A34005 1460 5 45d 45d CD A34005 1460 6 42′ 42′ CD A34005 1460 7 , , , A34005 1460 8 take take VB A34005 1460 9 the the DT A34005 1460 10 distance distance NN A34005 1460 11 between between IN A34005 1460 12 it -PRON- PRP A34005 1460 13 and and CC A34005 1460 14 the the DT A34005 1460 15 sine sine NN A34005 1460 16 of of IN A34005 1460 17 18 18 CD A34005 1460 18 d d NNP A34005 1460 19 12′ 12′ CD A34005 1460 20 before before IN A34005 1460 21 found find VBN A34005 1460 22 enter enter VB A34005 1460 23 this this DT A34005 1460 24 extent extent NN A34005 1460 25 twice twice RB A34005 1460 26 down down IN A34005 1460 27 the the DT A34005 1460 28 Line Line NNP A34005 1460 29 of of IN A34005 1460 30 sines sine NNS A34005 1460 31 from from IN A34005 1460 32 the the DT A34005 1460 33 Center Center NNP A34005 1460 34 , , , A34005 1460 35 and and CC A34005 1460 36 laying lay VBG A34005 1460 37 the the DT A34005 1460 38 Thread Thread NNP A34005 1460 39 over over IN A34005 1460 40 the the DT A34005 1460 41 Secant Secant NNP A34005 1460 42 of of IN A34005 1460 43 51 51 CD A34005 1460 44 d d NNS A34005 1460 45 32′ 32′ CD A34005 1460 46 take take VBP A34005 1460 47 the the DT A34005 1460 48 nearest near JJS A34005 1460 49 to to IN A34005 1460 50 it -PRON- PRP A34005 1460 51 , , , A34005 1460 52 then then RB A34005 1460 53 entring entre VBG A34005 1460 54 one one CD A34005 1460 55 foot foot NN A34005 1460 56 of of IN A34005 1460 57 this this DT A34005 1460 58 extent extent NN A34005 1460 59 at at IN A34005 1460 60 66 66 CD A34005 1460 61 d d CD A34005 1460 62 29′ 29′ CD A34005 1460 63 in in IN A34005 1460 64 the the DT A34005 1460 65 Line Line NNP A34005 1460 66 of of IN A34005 1460 67 Sines sin VBZ A34005 1460 68 the the DT A34005 1460 69 Thread Thread NNP A34005 1460 70 being be VBG A34005 1460 71 laid lay VBN A34005 1460 72 to to IN A34005 1460 73 the the DT A34005 1460 74 other other JJ A34005 1460 75 according accord VBG A34005 1460 76 to to IN A34005 1460 77 nearest near JJS A34005 1460 78 distance distance NN A34005 1460 79 will will MD A34005 1460 80 lye lye VB A34005 1460 81 over over IN A34005 1460 82 45 45 CD A34005 1460 83 d d NN A34005 1460 84 in in IN A34005 1460 85 the the DT A34005 1460 86 Limb Limb NNP A34005 1460 87 shewing shew VBG A34005 1460 88 the the DT A34005 1460 89 hour hour NN A34005 1460 90 to to TO A34005 1460 91 be be VB A34005 1460 92 either either CC A34005 1460 93 9 9 CD A34005 1460 94 in in IN A34005 1460 95 the the DT A34005 1460 96 morning morning NN A34005 1460 97 , , , A34005 1460 98 or or CC A34005 1460 99 3 3 CD A34005 1460 100 in in IN A34005 1460 101 the the DT A34005 1460 102 afternoon afternoon NN A34005 1460 103 , , , A34005 1460 104 and and CC A34005 1460 105 so so RB A34005 1460 106 it -PRON- PRP A34005 1460 107 will will MD A34005 1460 108 be be VB A34005 1460 109 found find VBN A34005 1460 110 also also RB A34005 1460 111 in in IN A34005 1460 112 the the DT A34005 1460 113 latter latter JJ A34005 1460 114 Operation operation NN A34005 1460 115 by by IN A34005 1460 116 entring entre VBG A34005 1460 117 the the DT A34005 1460 118 first first JJ A34005 1460 119 extent extent NN A34005 1460 120 once once RB A34005 1460 121 down down IN A34005 1460 122 the the DT A34005 1460 123 sines sine NNS A34005 1460 124 , , , A34005 1460 125 and and CC A34005 1460 126 taking take VBG A34005 1460 127 the the DT A34005 1460 128 distance distance NN A34005 1460 129 to to IN A34005 1460 130 the the DT A34005 1460 131 Thread Thread NNP A34005 1460 132 lying lie VBG A34005 1460 133 over over IN A34005 1460 134 the the DT A34005 1460 135 Secant Secant NNP A34005 1460 136 of of IN A34005 1460 137 the the DT A34005 1460 138 Latitude Latitude NNP A34005 1460 139 , , , A34005 1460 140 and and CC A34005 1460 141 then then RB A34005 1460 142 laying lay VBG A34005 1460 143 the the DT A34005 1460 144 Thread Thread NNP A34005 1460 145 to to IN A34005 1460 146 66 66 CD A34005 1460 147 d d CD A34005 1460 148 29′ 29′ CD A34005 1460 149 in in IN A34005 1460 150 the the DT A34005 1460 151 〈 〈 NNP A34005 1460 152 ◊ ◊ NNP A34005 1460 153 〉 〉 NNP A34005 1460 154 , , , A34005 1460 155 and and CC A34005 1460 156 entring entre VBG A34005 1460 157 that that DT A34005 1460 158 extent extent NN A34005 1460 159 between between IN A34005 1460 160 the the DT A34005 1460 161 Scale Scale NNP A34005 1460 162 and and CC A34005 1460 163 the the DT A34005 1460 164 Thread thread NN A34005 1460 165 . . . A34005 1461 1 To to TO A34005 1461 2 find find VB A34005 1461 3 the the DT A34005 1461 4 Suns Suns NNPS A34005 1461 5 Azimuth Azimuth NNP A34005 1461 6 The the DT A34005 1461 7 first first JJ A34005 1461 8 Operation operation NN A34005 1461 9 will will MD A34005 1461 10 be be VB A34005 1461 11 to to TO A34005 1461 12 get get VB A34005 1461 13 the the DT A34005 1461 14 Suns Suns NNPS A34005 1461 15 Altitude Altitude NNP A34005 1461 16 in in IN A34005 1461 17 the the DT A34005 1461 18 Vertical Vertical NNP A34005 1461 19 Circle Circle NNP A34005 1461 20 , , , A34005 1461 21 that that RB A34005 1461 22 is is RB A34005 1461 23 , , , A34005 1461 24 being be VBG A34005 1461 25 East East NNP A34005 1461 26 ar ar IN A34005 1461 27 West West NNP A34005 1461 28 . . . A34005 1462 1 As as IN A34005 1462 2 the the DT A34005 1462 3 sixe sixe NN A34005 1462 4 of of IN A34005 1462 5 the the DT A34005 1462 6 Latitude Latitude NNP A34005 1462 7 , , , A34005 1462 8 To to IN A34005 1462 9 Radius Radius NNP A34005 1462 10 : : : A34005 1462 11 So so RB A34005 1462 12 is be VBZ A34005 1462 13 the the DT A34005 1462 14 Sine Sine NNP A34005 1462 15 of of IN A34005 1462 16 the the DT A34005 1462 17 Declination declination NN A34005 1462 18 , , , A34005 1462 19 To to IN A34005 1462 20 the the DT A34005 1462 21 sine sine NN A34005 1462 22 of of IN A34005 1462 23 the the DT A34005 1462 24 Altitud Altitud NNP A34005 1462 25 . . . A34005 1463 1 So so RB A34005 1463 2 in in IN A34005 1463 3 our -PRON- PRP$ A34005 1463 4 Latitude Latitude NNP A34005 1463 5 of of IN A34005 1463 6 London London NNP A34005 1463 7 , , , A34005 1463 8 when when WRB A34005 1463 9 the the DT A34005 1463 10 Sun Sun NNP A34005 1463 11 hath hath NNP A34005 1463 12 23d 23d NNS A34005 1463 13 31′ 31′ CD A34005 1463 14 of of IN A34005 1463 15 declination declination NN A34005 1463 16 , , , A34005 1463 17 his -PRON- PRP$ A34005 1463 18 Vertical vertical JJ A34005 1463 19 Altitude Altitude NNP A34005 1463 20 in in IN A34005 1463 21 Summer summer NN A34005 1463 22 will will MD A34005 1463 23 be be VB A34005 1463 24 found find VBN A34005 1463 25 to to TO A34005 1463 26 be be VB A34005 1463 27 30d 30d CD A34005 1463 28 39′ 39′ CD A34005 1463 29 and and CC A34005 1463 30 so so RB A34005 1463 31 much much JJ A34005 1463 32 is be VBZ A34005 1463 33 the the DT A34005 1463 34 Depression Depression NNP A34005 1463 35 when when WRB A34005 1463 36 he -PRON- PRP A34005 1463 37 hath hath VBP A34005 1463 38 as as RB A34005 1463 39 much much JJ A34005 1463 40 South South NNP A34005 1463 41 declination declination NN A34005 1463 42 . . . A34005 1464 1 This this DT A34005 1464 2 found find VBD A34005 1464 3 either either CC A34005 1464 4 by by IN A34005 1464 5 a a DT A34005 1464 6 Parralel Parralel NNP A34005 1464 7 entrance entrance NN A34005 1464 8 on on IN A34005 1464 9 the the DT A34005 1464 10 Line Line NNP A34005 1464 11 of of IN A34005 1464 12 Sines Sines NNPS A34005 1464 13 by by IN A34005 1464 14 laying lay VBG A34005 1464 15 the the DT A34005 1464 16 Thread Thread NNP A34005 1464 17 to to IN A34005 1464 18 the the DT A34005 1464 19 sine sine NN A34005 1464 20 of of IN A34005 1464 21 the the DT A34005 1464 22 Latitude Latitude NNP A34005 1464 23 in in IN A34005 1464 24 the the DT A34005 1464 25 Limb Limb NNP A34005 1464 26 , , , A34005 1464 27 and and CC A34005 1464 28 entring entre VBG A34005 1464 29 the the DT A34005 1464 30 sine sine NN A34005 1464 31 of of IN A34005 1464 32 the the DT A34005 1464 33 Declination Declination NNP A34005 1464 34 between between IN A34005 1464 35 the the DT A34005 1464 36 Scale Scale NNP A34005 1464 37 and and CC A34005 1464 38 the the DT A34005 1464 39 Thread thread NN A34005 1464 40 , , , A34005 1464 41 or or CC A34005 1464 42 by by IN A34005 1464 43 a a DT A34005 1464 44 Lateral lateral JJ A34005 1464 45 entrance entrance NN A34005 1464 46 in in IN A34005 1464 47 the the DT A34005 1464 48 Limbe Limbe NNP A34005 1464 49 changing change VBG A34005 1464 50 the the DT A34005 1464 51 Radius Radius NNP A34005 1464 52 into into IN A34005 1464 53 the the DT A34005 1464 54 third third JJ A34005 1464 55 place place NN A34005 1464 56 , , , A34005 1464 57 and and CC A34005 1464 58 then then RB A34005 1464 59 enter enter VB A34005 1464 60 the the DT A34005 1464 61 sine sine NN A34005 1464 62 of of IN A34005 1464 63 the the DT A34005 1464 64 Declination Declination NNP A34005 1464 65 on on IN A34005 1464 66 the the DT A34005 1464 67 Sine Sine NNP A34005 1464 68 of of IN A34005 1464 69 the the DT A34005 1464 70 Latitude Latitude NNP A34005 1464 71 , , , A34005 1464 72 laying lay VBG A34005 1464 73 the the DT A34005 1464 74 Thread thread NN A34005 1464 75 to to IN A34005 1464 76 the the DT A34005 1464 77 other other JJ A34005 1464 78 foot foot NN A34005 1464 79 , , , A34005 1464 80 and and CC A34005 1464 81 in in IN A34005 1464 82 the the DT A34005 1464 83 Limb Limb NNP A34005 1464 84 it -PRON- PRP A34005 1464 85 shewes shew VBZ A34005 1464 86 the the DT A34005 1464 87 Altitude altitude NN A34005 1464 88 sought seek VBD A34005 1464 89 ; ; : A34005 1464 90 having have VBG A34005 1464 91 found find VBN A34005 1464 92 this this DT A34005 1464 93 Ark Ark NNP A34005 1464 94 let let VB A34005 1464 95 it -PRON- PRP A34005 1464 96 be be VB A34005 1464 97 recorded record VBN A34005 1464 98 or or CC A34005 1464 99 have have VB A34005 1464 100 a a DT A34005 1464 101 mark mark NN A34005 1464 102 set set VBN A34005 1464 103 to to IN A34005 1464 104 it -PRON- PRP A34005 1464 105 , , , A34005 1464 106 because because IN A34005 1464 107 it -PRON- PRP A34005 1464 108 remains remain VBZ A34005 1464 109 fixed fix VBN A34005 1464 110 for for IN A34005 1464 111 one one CD A34005 1464 112 Day day NN A34005 1464 113 , , , A34005 1464 114 afterwards afterwards RB A34005 1464 115 the the DT A34005 1464 116 Proportion proportion NN A34005 1464 117 to to TO A34005 1464 118 be be VB A34005 1464 119 wrought work VBN A34005 1464 120 is be VBZ A34005 1464 121 , , , A34005 1464 122 As as IN A34005 1464 123 the the DT A34005 1464 124 Cosine Cosine NNP A34005 1464 125 of of IN A34005 1464 126 the the DT A34005 1464 127 Altitude altitude NN A34005 1464 128 , , , A34005 1464 129 To to IN A34005 1464 130 the the DT A34005 1464 131 Tangent Tangent NNP A34005 1464 132 of of IN A34005 1464 133 the the DT A34005 1464 134 Latitude Latitude NNP A34005 1464 135 : : : A34005 1464 136 So so CC A34005 1464 137 in in IN A34005 1464 138 Summer summer NN A34005 1464 139 is be VBZ A34005 1464 140 the the DT A34005 1464 141 difference difference NN A34005 1464 142 in in IN A34005 1464 143 Winter Winter NNP A34005 1464 144 the the DT A34005 1464 145 sum sum NN A34005 1464 146 of of IN A34005 1464 147 the the DT A34005 1464 148 Sines Sines NNPS A34005 1464 149 of of IN A34005 1464 150 the the DT A34005 1464 151 Suns Suns NNPS A34005 1464 152 Altitude Altitude NNP A34005 1464 153 , , , A34005 1464 154 and and CC A34005 1464 155 of of IN A34005 1464 156 his -PRON- PRP$ A34005 1464 157 Vertical Vertical NNP A34005 1464 158 Altitude Altitude NNP A34005 1464 159 or or CC A34005 1464 160 Depression depression NN A34005 1464 161 : : : A34005 1464 162 To to IN A34005 1464 163 the the DT A34005 1464 164 Sine Sine NNP A34005 1464 165 of of IN A34005 1464 166 the the DT A34005 1464 167 Azimuth Azimuth NNP A34005 1464 168 from from IN A34005 1464 169 the the DT A34005 1464 170 East East NNP A34005 1464 171 or or CC A34005 1464 172 West West NNP A34005 1464 173 towards towards IN A34005 1464 174 noon noon NN A34005 1464 175 Meridian Meridian NNP A34005 1464 176 in in IN A34005 1464 177 Winter Winter NNP A34005 1464 178 as as IN A34005 1464 179 also also RB A34005 1464 180 in in IN A34005 1464 181 Summer Summer NNP A34005 1464 182 , , , A34005 1464 183 when when WRB A34005 1464 184 the the DT A34005 1464 185 given give VBN A34005 1464 186 Altitude altitude NN A34005 1464 187 is be VBZ A34005 1464 188 more more JJR A34005 1464 189 then then RB A34005 1464 190 the the DT A34005 1464 191 Vertical Vertical NNP A34005 1464 192 Altitude Altitude NNP A34005 1464 193 , , , A34005 1464 194 but but CC A34005 1464 195 if if IN A34005 1464 196 less less JJR A34005 1464 197 towards towards IN A34005 1464 198 the the DT A34005 1464 199 Midnight Midnight NNP A34005 1464 200 Meridian Meridian NNP A34005 1464 201 . . . A34005 1465 1 This this DT A34005 1465 2 Proportion proportion NN A34005 1465 3 may may MD A34005 1465 4 be be VB A34005 1465 5 wrought work VBN A34005 1465 6 divers diver NNS A34005 1465 7 ways way NNS A34005 1465 8 on on IN A34005 1465 9 the the DT A34005 1465 10 Quadrant Quadrant NNP A34005 1465 11 after after IN A34005 1465 12 the the DT A34005 1465 13 same same JJ A34005 1465 14 manner manner NN A34005 1465 15 as as IN A34005 1465 16 the the DT A34005 1465 17 former former JJ A34005 1465 18 , , , A34005 1465 19 I -PRON- PRP A34005 1465 20 shall shall MD A34005 1465 21 therefore therefore RB A34005 1465 22 illustrate illustrate VB A34005 1465 23 it -PRON- PRP A34005 1465 24 by by IN A34005 1465 25 some some DT A34005 1465 26 Examples Examples NNPS A34005 1465 27 . . . A34005 1466 1 Declination Declination NNP A34005 1466 2 13d 13d NNPS A34005 1466 3 , , , A34005 1466 4 Latititude Latititude NNP A34005 1466 5 51d 51d NNS A34005 1466 6 32′ 32′ CD A34005 1466 7 , , , A34005 1466 8 Vertical Vertical NNP A34005 1466 9 Altitude Altitude NNP A34005 1466 10 16d 16d NNPS A34005 1466 11 42′ 42′ CD A34005 1466 12 , , , A34005 1466 13 Proposed propose VBN A34005 1466 14 Altitude Altitude NNP A34005 1466 15 in in IN A34005 1466 16 Summer summer NN A34005 1466 17 — — : A34005 1466 18 41d 41d NNS A34005 1466 19 , , , A34005 1466 20 53′ 53′ CD A34005 1466 21 . . . A34005 1467 1 Proposed propose VBN A34005 1467 2 Altitude Altitude NNP A34005 1467 3 in in IN A34005 1467 4 Winter Winter NNP A34005 1467 5 — — : A34005 1467 6 12 12 CD A34005 1467 7 13 13 CD A34005 1467 8 Enter enter VBP A34005 1467 9 the the DT A34005 1467 10 aforesaid aforesaid JJ A34005 1467 11 sum sum NN A34005 1467 12 or or CC A34005 1467 13 difference difference NN A34005 1467 14 of of IN A34005 1467 15 Sines Sines NNPS A34005 1467 16 twice twice RB A34005 1467 17 down down RB A34005 1467 18 from from IN A34005 1467 19 the the DT A34005 1467 20 Center Center NNP A34005 1467 21 of of IN A34005 1467 22 the the DT A34005 1467 23 Quadrant Quadrant NNP A34005 1467 24 , , , A34005 1467 25 and and CC A34005 1467 26 take take VB A34005 1467 27 the the DT A34005 1467 28 nearest near JJS A34005 1467 29 distance distance NN A34005 1467 30 to to IN A34005 1467 31 the the DT A34005 1467 32 Thread Thread NNP A34005 1467 33 being be VBG A34005 1467 34 laid lay VBN A34005 1467 35 over over IN A34005 1467 36 the the DT A34005 1467 37 Tangent Tangent NNP A34005 1467 38 of of IN A34005 1467 39 the the DT A34005 1467 40 Latitude Latitude NNP A34005 1467 41 , , , A34005 1467 42 this this DT A34005 1467 43 extent extent NN A34005 1467 44 set set VBD A34005 1467 45 down down RP A34005 1467 46 at at IN A34005 1467 47 the the DT A34005 1467 48 Cosine Cosine NNP A34005 1467 49 of of IN A34005 1467 50 the the DT A34005 1467 51 Altitude altitude NN A34005 1467 52 , , , A34005 1467 53 and and CC A34005 1467 54 lay lie VBD A34005 1467 55 the the DT A34005 1467 56 Thread thread NN A34005 1467 57 to to IN A34005 1467 58 the the DT A34005 1467 59 other other JJ A34005 1467 60 foot foot NN A34005 1467 61 and and CC A34005 1467 62 in in IN A34005 1467 63 the the DT A34005 1467 64 Limbe Limbe NNP A34005 1467 65 it -PRON- PRP A34005 1467 66 shews shew VBZ A34005 1467 67 the the DT A34005 1467 68 Azimuth Azimuth NNP A34005 1467 69 sought seek VBD A34005 1467 70 . . . A34005 1468 1 So so RB A34005 1468 2 in in IN A34005 1468 3 this this DT A34005 1468 4 Example Example NNP A34005 1468 5 the the DT A34005 1468 6 Azimuth Azimuth NNP A34005 1468 7 will will MD A34005 1468 8 be be VB A34005 1468 9 found find VBN A34005 1468 10 to to TO A34005 1468 11 be be VB A34005 1468 12 40d 40d NNS A34005 1468 13 both both DT A34005 1468 14 in in IN A34005 1468 15 Summer Summer NNP A34005 1468 16 and and CC A34005 1468 17 Winter Winter NNP A34005 1468 18 from from IN A34005 1468 19 East East NNP A34005 1468 20 or or CC A34005 1468 21 West West NNP A34005 1468 22 towards towards IN A34005 1468 23 Noon Noon NNP A34005 1468 24 Meridian Meridian NNP A34005 1468 25 . . . A34005 1469 1 Otherways otherway NNS A34005 1469 2 . . . A34005 1470 1 Enter enter VB A34005 1470 2 the the DT A34005 1470 3 aforesaid aforesaid JJ A34005 1470 4 sum sum NN A34005 1470 5 or or CC A34005 1470 6 difference difference NN A34005 1470 7 of of IN A34005 1470 8 sines sine NNS A34005 1470 9 but but CC A34005 1470 10 down down RB A34005 1470 11 from from IN A34005 1470 12 the the DT A34005 1470 13 Center Center NNP A34005 1470 14 , , , A34005 1470 15 and and CC A34005 1470 16 take take VB A34005 1470 17 the the DT A34005 1470 18 nearest near JJS A34005 1470 19 distance distance NN A34005 1470 20 to to IN A34005 1470 21 the the DT A34005 1470 22 Thread thread NN A34005 1470 23 laid lay VBN A34005 1470 24 over over IN A34005 1470 25 the the DT A34005 1470 26 Tangent Tangent NNP A34005 1470 27 of of IN A34005 1470 28 the the DT A34005 1470 29 Latitude Latitude NNP A34005 1470 30 , , , A34005 1470 31 then then RB A34005 1470 32 lay lie VBD A34005 1470 33 the the DT A34005 1470 34 Thread thread NN A34005 1470 35 to to IN A34005 1470 36 the the DT A34005 1470 37 Complement Complement NNP A34005 1470 38 of of IN A34005 1470 39 the the DT A34005 1470 40 Altitude altitude NN A34005 1470 41 in in IN A34005 1470 42 the the DT A34005 1470 43 lesser less JJR A34005 1470 44 sines sine NNS A34005 1470 45 , , , A34005 1470 46 and and CC A34005 1470 47 enter enter VB A34005 1470 48 the the DT A34005 1470 49 former former JJ A34005 1470 50 extent extent NN A34005 1470 51 between between IN A34005 1470 52 the the DT A34005 1470 53 Scale Scale NNP A34005 1470 54 and and CC A34005 1470 55 the the DT A34005 1470 56 Thread thread NN A34005 1470 57 , , , A34005 1470 58 and and CC A34005 1470 59 the the DT A34005 1470 60 answer answer NN A34005 1470 61 will will MD A34005 1470 62 be be VB A34005 1470 63 given give VBN A34005 1470 64 in in IN A34005 1470 65 the the DT A34005 1470 66 Line Line NNP A34005 1470 67 of of IN A34005 1470 68 Sines Sines NNPS A34005 1470 69 , , , A34005 1470 70 supposing suppose VBG A34005 1470 71 the the DT A34005 1470 72 declination declination NN A34005 1470 73 unchanged unchanged JJ A34005 1470 74 , , , A34005 1470 75 if if IN A34005 1470 76 the the DT A34005 1470 77 Altitude Altitude NNP A34005 1470 78 were be VBD A34005 1470 79 9d 9d NN A34005 1470 80 21′ 21′ CD A34005 1470 81 both both DT A34005 1470 82 for for IN A34005 1470 83 the the DT A34005 1470 84 Winter Winter NNP A34005 1470 85 and and CC A34005 1470 86 the the DT A34005 1470 87 Summer Summer NNP A34005 1470 88 Example Example NNP A34005 1470 89 , , , A34005 1470 90 the the DT A34005 1470 91 Azimuth Azimuth NNP A34005 1470 92 at at IN A34005 1470 93 London London NNP A34005 1470 94 would would MD A34005 1470 95 be be VB A34005 1470 96 9d 9d NN A34005 1470 97 22′ 22′ CD A34005 1470 98 from from IN A34005 1470 99 the the DT A34005 1470 100 East East NNP A34005 1470 101 or or CC A34005 1470 102 West West NNP A34005 1470 103 Northwards Northwards NNPS A34005 1470 104 in in IN A34005 1470 105 Summer Summer NNP A34005 1470 106 , , , A34005 1470 107 and and CC A34005 1470 108 35 35 CD A34005 1470 109 d d NNP A34005 1470 110 Southwards Southwards NNP A34005 1470 111 in in IN A34005 1470 112 Winter Winter NNP A34005 1470 113 . . . A34005 1471 1 Hitherto Hitherto VBN A34005 1471 2 we -PRON- PRP A34005 1471 3 suppose suppose VBP A34005 1471 4 the the DT A34005 1471 5 Latitude Latitude NNP A34005 1471 6 not not RB A34005 1471 7 to to TO A34005 1471 8 exceed exceed VB A34005 1471 9 the the DT A34005 1471 10 length length NN A34005 1471 11 of of IN A34005 1471 12 the the DT A34005 1471 13 Tangents Tangents NNPS A34005 1471 14 , , , A34005 1471 15 whether whether IN A34005 1471 16 it -PRON- PRP A34005 1471 17 doth doth VB A34005 1471 18 or or CC A34005 1471 19 not not RB A34005 1471 20 this this DT A34005 1471 21 Proportion proportion NN A34005 1471 22 may may MD A34005 1471 23 be be VB A34005 1471 24 otherways otherway NNS A34005 1471 25 wrought work VBN A34005 1471 26 by by IN A34005 1471 27 changing change VBG A34005 1471 28 the the DT A34005 1471 29 two two CD A34005 1471 30 first first JJ A34005 1471 31 Tearms tearm NNS A34005 1471 32 of of IN A34005 1471 33 it -PRON- PRP A34005 1471 34 ; ; : A34005 1471 35 Instead instead RB A34005 1471 36 of of IN A34005 1471 37 the the DT A34005 1471 38 Co co NN A34005 1471 39 - - NN A34005 1471 40 sine sine NN A34005 1471 41 of of IN A34005 1471 42 the the DT A34005 1471 43 Altitude Altitude NNP A34005 1471 44 to to IN A34005 1471 45 the the DT A34005 1471 46 Tangent Tangent NNP A34005 1471 47 of of IN A34005 1471 48 the the DT A34005 1471 49 Latitude Latitude NNP A34005 1471 50 , , , A34005 1471 51 we -PRON- PRP A34005 1471 52 may may MD A34005 1471 53 say say VB A34005 1471 54 , , , A34005 1471 55 As as IN A34005 1471 56 the the DT A34005 1471 57 Cotangent Cotangent NNP A34005 1471 58 of of IN A34005 1471 59 the the DT A34005 1471 60 Latitude Latitude NNP A34005 1471 61 , , , A34005 1471 62 To to IN A34005 1471 63 the the DT A34005 1471 64 Secant secant NN A34005 1471 65 of of IN A34005 1471 66 the the DT A34005 1471 67 Altitude altitude NN A34005 1471 68 : : : A34005 1471 69 So so CC A34005 1471 70 when when WRB A34005 1471 71 the the DT A34005 1471 72 Sun Sun NNP A34005 1471 73 hath hath NNP A34005 1471 74 23 23 CD A34005 1471 75 d d NN A34005 1471 76 31′ 31′ CD A34005 1471 77 of of IN A34005 1471 78 North North NNP A34005 1471 79 Declination Declination NNP A34005 1471 80 in in IN A34005 1471 81 our -PRON- PRP$ A34005 1471 82 Latitude Latitude NNP A34005 1471 83 , , , A34005 1471 84 and and CC A34005 1471 85 his -PRON- PRP$ A34005 1471 86 Altitude altitude NN A34005 1471 87 57 57 CD A34005 1471 88 d d CD A34005 1471 89 7′ 7′ CD A34005 1471 90 , , , A34005 1471 91 take take VB A34005 1471 92 the the DT A34005 1471 93 distance distance NN A34005 1471 94 between between IN A34005 1471 95 the the DT A34005 1471 96 sine sine NN A34005 1471 97 thereof thereof RB A34005 1471 98 and and CC A34005 1471 99 the the DT A34005 1471 100 sine sine NN A34005 1471 101 of of IN A34005 1471 102 30 30 CD A34005 1471 103 d d NN A34005 1471 104 39′ 39′ CD A34005 1471 105 the the DT A34005 1471 106 Altitude Altitude NNP A34005 1471 107 of of IN A34005 1471 108 East East NNP A34005 1471 109 , , , A34005 1471 110 and and CC A34005 1471 111 enter enter VB A34005 1471 112 it -PRON- PRP A34005 1471 113 once once RB A34005 1471 114 down down RB A34005 1471 115 from from IN A34005 1471 116 the the DT A34005 1471 117 Center Center NNP A34005 1471 118 , , , A34005 1471 119 and and CC A34005 1471 120 take take VB A34005 1471 121 the the DT A34005 1471 122 nearest near JJS A34005 1471 123 distance distance NN A34005 1471 124 to to IN A34005 1471 125 the the DT A34005 1471 126 Thread thread NN A34005 1471 127 laid lay VBN A34005 1471 128 over over IN A34005 1471 129 the the DT A34005 1471 130 Secant Secant NNP A34005 1471 131 of of IN A34005 1471 132 the the DT A34005 1471 133 Altitude Altitude NNP A34005 1471 134 , , , A34005 1471 135 viz viz NN A34005 1471 136 . . . A34005 1472 1 57 57 CD A34005 1472 2 d d CD A34005 1472 3 7′ 7′ CD A34005 1472 4 , , , A34005 1472 5 then then RB A34005 1472 6 lay lay VB A34005 1472 7 the the DT A34005 1472 8 Thread Thread NNP A34005 1472 9 to to IN A34005 1472 10 38 38 CD A34005 1472 11 d d CD A34005 1472 12 28′ 28′ CD A34005 1472 13 in in IN A34005 1472 14 the the DT A34005 1472 15 Tangents Tangents NNPS A34005 1472 16 , , , A34005 1472 17 and and CC A34005 1472 18 enter enter VB A34005 1472 19 the the DT A34005 1472 20 former former JJ A34005 1472 21 extent extent NN A34005 1472 22 between between IN A34005 1472 23 the the DT A34005 1472 24 Scale Scale NNP A34005 1472 25 and and CC A34005 1472 26 the the DT A34005 1472 27 Thread thread NN A34005 1472 28 , , , A34005 1472 29 and and CC A34005 1472 30 the the DT A34005 1472 31 Compasses compass NNS A34005 1472 32 on on IN A34005 1472 33 the the DT A34005 1472 34 Line Line NNP A34005 1472 35 of of IN A34005 1472 36 Sines Sines NNPS A34005 1472 37 will will MD A34005 1472 38 rest rest VB A34005 1472 39 at at IN A34005 1472 40 50 50 CD A34005 1472 41 d d NNS A34005 1472 42 for for IN A34005 1472 43 the the DT A34005 1472 44 Azimuth Azimuth NNP A34005 1472 45 from from IN A34005 1472 46 East East NNP A34005 1472 47 or or CC A34005 1472 48 West West NNP A34005 1472 49 Southwards Southwards NNP A34005 1472 50 , , , A34005 1472 51 because because IN A34005 1472 52 the the DT A34005 1472 53 Altitude altitude NN A34005 1472 54 was be VBD A34005 1472 55 more more JJR A34005 1472 56 then then RB A34005 1472 57 the the DT A34005 1472 58 Vertical Vertical NNP A34005 1472 59 Altitude Altitude NNP A34005 1472 60 . . . A34005 1473 1 Otherways otherway NNS A34005 1473 2 without without IN A34005 1473 3 the the DT A34005 1473 4 Secant secant NN A34005 1473 5 in in IN A34005 1473 6 all all DT A34005 1473 7 Cases case NNS A34005 1473 8 by by IN A34005 1473 9 help help NN A34005 1473 10 of of IN A34005 1473 11 the the DT A34005 1473 12 greater great JJR A34005 1473 13 Tangent Tangent NNP A34005 1473 14 of of IN A34005 1473 15 45d 45d CD A34005 1473 16 . . . A34005 1474 1 Enter enter VB A34005 1474 2 the the DT A34005 1474 3 aforesaid aforesaid JJ A34005 1474 4 Sum sum NN A34005 1474 5 or or CC A34005 1474 6 difference difference NN A34005 1474 7 of of IN A34005 1474 8 the the DT A34005 1474 9 Sines Sines NNPS A34005 1474 10 once once RB A34005 1474 11 down down RB A34005 1474 12 from from IN A34005 1474 13 the the DT A34005 1474 14 Center Center NNP A34005 1474 15 and and CC A34005 1474 16 lay lie VBD A34005 1474 17 the the DT A34005 1474 18 Thread thread NN A34005 1474 19 to to IN A34005 1474 20 the the DT A34005 1474 21 Tangent Tangent NNP A34005 1474 22 or or CC A34005 1474 23 Cotangent Cotangent NNP A34005 1474 24 of of IN A34005 1474 25 the the DT A34005 1474 26 Latitude Latitude NNP A34005 1474 27 in in IN A34005 1474 28 the the DT A34005 1474 29 greater great JJR A34005 1474 30 Tangents tangent NNS A34005 1474 31 , , , A34005 1474 32 and and CC A34005 1474 33 take take VB A34005 1474 34 the the DT A34005 1474 35 nearest near JJS A34005 1474 36 distance distance NN A34005 1474 37 to to IN A34005 1474 38 it -PRON- PRP A34005 1474 39 . . . A34005 1475 1 Then then RB A34005 1475 2 for for IN A34005 1475 3 Latitudes latitude NNS A34005 1475 4 under under IN A34005 1475 5 45d 45d CD A34005 1475 6 enter enter VBP A34005 1475 7 the the DT A34005 1475 8 former former JJ A34005 1475 9 extent extent NN A34005 1475 10 at at IN A34005 1475 11 the the DT A34005 1475 12 Complement Complement NNP A34005 1475 13 of of IN A34005 1475 14 the the DT A34005 1475 15 Altitude altitude NN A34005 1475 16 in in IN A34005 1475 17 the the DT A34005 1475 18 Line Line NNP A34005 1475 19 of of IN A34005 1475 20 Sines Sines NNPS A34005 1475 21 , , , A34005 1475 22 and and CC A34005 1475 23 find find VB A34005 1475 24 the the DT A34005 1475 25 answer answer NN A34005 1475 26 in in IN A34005 1475 27 the the DT A34005 1475 28 Limb Limb NNP A34005 1475 29 by by IN A34005 1475 30 laying lay VBG A34005 1475 31 the the DT A34005 1475 32 Thread Thread NNP A34005 1475 33 to to IN A34005 1475 34 the the DT A34005 1475 35 other other JJ A34005 1475 36 foot foot NN A34005 1475 37 , , , A34005 1475 38 or or CC A34005 1475 39 if if IN A34005 1475 40 it -PRON- PRP A34005 1475 41 be be VBP A34005 1475 42 more more RBR A34005 1475 43 convenient convenient JJ A34005 1475 44 make make VBP A34005 1475 45 a a DT A34005 1475 46 Parralel Parralel NNP A34005 1475 47 entrance entrance NN A34005 1475 48 of of IN A34005 1475 49 it -PRON- PRP A34005 1475 50 , , , A34005 1475 51 and and CC A34005 1475 52 find find VB A34005 1475 53 the the DT A34005 1475 54 answer answer NN A34005 1475 55 in in IN A34005 1475 56 the the DT A34005 1475 57 Sines Sines NNPS A34005 1475 58 as as IN A34005 1475 59 before before IN A34005 1475 60 hinted hint VBN A34005 1475 61 . . . A34005 1476 1 But but CC A34005 1476 2 for for IN A34005 1476 3 Latitudes Latitudes NNPS A34005 1476 4 above above IN A34005 1476 5 45 45 CD A34005 1476 6 d d NNS A34005 1476 7 , , , A34005 1476 8 first first RB A34005 1476 9 find find VBP A34005 1476 10 a a DT A34005 1476 11 fourth fourth JJ A34005 1476 12 by by IN A34005 1476 13 entring entre VBG A34005 1476 14 the the DT A34005 1476 15 sum sum NN A34005 1476 16 or or CC A34005 1476 17 difference difference NN A34005 1476 18 of of IN A34005 1476 19 sines sine NNS A34005 1476 20 between between IN A34005 1476 21 the the DT A34005 1476 22 Scale Scale NNP A34005 1476 23 and and CC A34005 1476 24 the the DT A34005 1476 25 Thread thread NN A34005 1476 26 , , , A34005 1476 27 and and CC A34005 1476 28 then then RB A34005 1476 29 it -PRON- PRP A34005 1476 30 will will MD A34005 1476 31 hold hold VB A34005 1476 32 , , , A34005 1476 33 As as IN A34005 1476 34 the the DT A34005 1476 35 first first JJ A34005 1476 36 Tearm Tearm NNP A34005 1476 37 , , , A34005 1476 38 To to IN A34005 1476 39 that that DT A34005 1476 40 fourth fourth RB A34005 1476 41 : : : A34005 1476 42 So so RB A34005 1476 43 Radius Radius NNP A34005 1476 44 , , , A34005 1476 45 To to IN A34005 1476 46 the the DT A34005 1476 47 Sine Sine NNP A34005 1476 48 of of IN A34005 1476 49 the the DT A34005 1476 50 Azimuth Azimuth NNP A34005 1476 51 , , , A34005 1476 52 and and CC A34005 1476 53 may may MD A34005 1476 54 be be VB A34005 1476 55 either either CC A34005 1476 56 a a DT A34005 1476 57 Lateral lateral JJ A34005 1476 58 or or CC A34005 1476 59 Parralel parralel JJ A34005 1476 60 entrance entrance NN A34005 1476 61 , , , A34005 1476 62 according accord VBG A34005 1476 63 as as IN A34005 1476 64 it -PRON- PRP A34005 1476 65 falls fall VBZ A34005 1476 66 out out RP A34005 1476 67 , , , A34005 1476 68 and and CC A34005 1476 69 as as IN A34005 1476 70 the the DT A34005 1476 71 Radius Radius NNP A34005 1476 72 is be VBZ A34005 1476 73 put put VBN A34005 1476 74 either either CC A34005 1476 75 in in IN A34005 1476 76 the the DT A34005 1476 77 second second JJ A34005 1476 78 or or CC A34005 1476 79 third third JJ A34005 1476 80 place place NN A34005 1476 81 , , , A34005 1476 82 in in IN A34005 1476 83 all all PDT A34005 1476 84 these these DT A34005 1476 85 Directions Directions NNPS A34005 1476 86 the the DT A34005 1476 87 introducement introducement NN A34005 1476 88 of of IN A34005 1476 89 the the DT A34005 1476 90 Radius Radius NNP A34005 1476 91 is be VBZ A34005 1476 92 supposed suppose VBN A34005 1476 93 according accord VBG A34005 1476 94 to to IN A34005 1476 95 to to IN A34005 1476 96 the the DT A34005 1476 97 general general JJ A34005 1476 98 Advertisement Advertisement NNP A34005 1476 99 . . . A34005 1477 1 The the DT A34005 1477 2 finding finding NN A34005 1477 3 of of IN A34005 1477 4 the the DT A34005 1477 5 Amplitude Amplitude NNP A34005 1477 6 this this DT A34005 1477 7 way way NN A34005 1477 8 presupposeth presupposeth VBZ A34005 1477 9 the the DT A34005 1477 10 Vertical Vertical NNP A34005 1477 11 Altitude Altitude NNP A34005 1477 12 known know VBN A34005 1477 13 , , , A34005 1477 14 and and CC A34005 1477 15 then then RB A34005 1477 16 the the DT A34005 1477 17 Proportion Proportion NNP A34005 1477 18 derived derive VBN A34005 1477 19 from from IN A34005 1477 20 the the DT A34005 1477 21 Analemma Analemma NNP A34005 1477 22 , , , A34005 1477 23 not not RB A34005 1477 24 from from IN A34005 1477 25 the the DT A34005 1477 26 16 16 CD A34005 1477 27 Cases case NNS A34005 1477 28 is be VBZ A34005 1477 29 , , , A34005 1477 30 As as IN A34005 1477 31 the the DT A34005 1477 32 Radius Radius NNP A34005 1477 33 , , , A34005 1477 34 To to IN A34005 1477 35 the the DT A34005 1477 36 Tangent Tangent NNP A34005 1477 37 of of IN A34005 1477 38 the the DT A34005 1477 39 Latitude Latitude NNP A34005 1477 40 , , , A34005 1477 41 So so CC A34005 1477 42 the the DT A34005 1477 43 Sine Sine NNP A34005 1477 44 of of IN A34005 1477 45 the the DT A34005 1477 46 Vertical Vertical NNP A34005 1477 47 Altitude Altitude NNP A34005 1477 48 , , , A34005 1477 49 To to IN A34005 1477 50 the the DT A34005 1477 51 Sine Sine NNP A34005 1477 52 of of IN A34005 1477 53 the the DT A34005 1477 54 Amplitude Amplitude NNP A34005 1477 55 : : : A34005 1477 56 So so RB A34005 1477 57 also also RB A34005 1477 58 to to TO A34005 1477 59 find find VB A34005 1477 60 the the DT A34005 1477 61 time time NN A34005 1477 62 of of IN A34005 1477 63 Sun Sun NNP A34005 1477 64 rising rise VBG A34005 1477 65 . . . A34005 1478 1 As as IN A34005 1478 2 the the DT A34005 1478 3 Cosine Cosine NNP A34005 1478 4 of of IN A34005 1478 5 the the DT A34005 1478 6 Declination declination NN A34005 1478 7 , , , A34005 1478 8 To to IN A34005 1478 9 Secant Secant NNP A34005 1478 10 of of IN A34005 1478 11 the the DT A34005 1478 12 Latitude Latitude NNP A34005 1478 13 : : : A34005 1478 14 So so RB A34005 1478 15 the the DT A34005 1478 16 sine sine NN A34005 1478 17 of of IN A34005 1478 18 the the DT A34005 1478 19 Suns Suns NNPS A34005 1478 20 Altitude Altitude NNP A34005 1478 21 at at IN A34005 1478 22 6 6 CD A34005 1478 23 , , , A34005 1478 24 To to IN A34005 1478 25 the the DT A34005 1478 26 Sine Sine NNP A34005 1478 27 of of IN A34005 1478 28 the the DT A34005 1478 29 hour hour NN A34005 1478 30 of of IN A34005 1478 31 rising rise VBG A34005 1478 32 from from IN A34005 1478 33 six six CD A34005 1478 34 . . . A34005 1479 1 To to TO A34005 1479 2 find find VB A34005 1479 3 the the DT A34005 1479 4 Suns Suns NNPS A34005 1479 5 Azimuth Azimuth NNP A34005 1479 6 at at IN A34005 1479 7 six six CD A34005 1479 8 of of IN A34005 1479 9 the the DT A34005 1479 10 clock clock NN A34005 1479 11 otherways otherway NNS A34005 1479 12 then then RB A34005 1479 13 by by IN A34005 1479 14 the the DT A34005 1479 15 16 16 CD A34005 1479 16 Cases case NNS A34005 1479 17 . . . A34005 1480 1 As as IN A34005 1480 2 the the DT A34005 1480 3 Cosine Cosine NNP A34005 1480 4 of of IN A34005 1480 5 the the DT A34005 1480 6 Suns Suns NNPS A34005 1480 7 Altitude Altitude NNP A34005 1480 8 at at IN A34005 1480 9 6 6 CD A34005 1480 10 , , , A34005 1480 11 To to IN A34005 1480 12 Tangent Tangent NNP A34005 1480 13 of of IN A34005 1480 14 the the DT A34005 1480 15 Latitude Latitude NNP A34005 1480 16 , , , A34005 1480 17 So so RB A34005 1480 18 is be VBZ A34005 1480 19 the the DT A34005 1480 20 difference difference NN A34005 1480 21 of of IN A34005 1480 22 the the DT A34005 1480 23 sines sine NNS A34005 1480 24 of of IN A34005 1480 25 the the DT A34005 1480 26 Suns Suns NNPS A34005 1480 27 Altitude Altitude NNP A34005 1480 28 at at IN A34005 1480 29 6 6 CD A34005 1480 30 , , , A34005 1480 31 and and CC A34005 1480 32 of of IN A34005 1480 33 his -PRON- PRP$ A34005 1480 34 Vertical Vertical NNP A34005 1480 35 Altitude Altitude NNP A34005 1480 36 , , , A34005 1480 37 To to IN A34005 1480 38 the the DT A34005 1480 39 sine sine NN A34005 1480 40 of of IN A34005 1480 41 the the DT A34005 1480 42 Azimuth Azimuth NNP A34005 1480 43 from from IN A34005 1480 44 the the DT A34005 1480 45 Vertical Vertical NNP A34005 1480 46 . . . A34005 1481 1 To to TO A34005 1481 2 find find VB A34005 1481 3 the the DT A34005 1481 4 time time NN A34005 1481 5 when when WRB A34005 1481 6 the the DT A34005 1481 7 Sun Sun NNP A34005 1481 8 shall shall MD A34005 1481 9 be be VB A34005 1481 10 due due JJ A34005 1481 11 East East NNP A34005 1481 12 or or CC A34005 1481 13 West West NNP A34005 1481 14 . . . A34005 1482 1 As as IN A34005 1482 2 Cosine Cosine NNP A34005 1482 3 of of IN A34005 1482 4 the the DT A34005 1482 5 Declination declination NN A34005 1482 6 , , , A34005 1482 7 To to IN A34005 1482 8 Secant Secant NNP A34005 1482 9 of of IN A34005 1482 10 the the DT A34005 1482 11 Latitude Latitude NNP A34005 1482 12 : : : A34005 1482 13 So so CC A34005 1482 14 the the DT A34005 1482 15 difference difference NN A34005 1482 16 of of IN A34005 1482 17 the the DT A34005 1482 18 Sines Sines NNPS A34005 1482 19 of of IN A34005 1482 20 the the DT A34005 1482 21 Suns Suns NNPS A34005 1482 22 Altitude Altitude NNP A34005 1482 23 at at IN A34005 1482 24 6 6 CD A34005 1482 25 , , , A34005 1482 26 and and CC A34005 1482 27 of of IN A34005 1482 28 his -PRON- PRP$ A34005 1482 29 Vertical Vertical NNP A34005 1482 30 Altitude Altitude NNP A34005 1482 31 , , , A34005 1482 32 To to IN A34005 1482 33 the the DT A34005 1482 34 Sine Sine NNP A34005 1482 35 of of IN A34005 1482 36 the the DT A34005 1482 37 hour hour NN A34005 1482 38 from from IN A34005 1482 39 6 6 CD A34005 1482 40 , , , A34005 1482 41 When when WRB A34005 1482 42 the the DT A34005 1482 43 Sun Sun NNP A34005 1482 44 shall shall MD A34005 1482 45 be be VB A34005 1482 46 due due JJ A34005 1482 47 East East NNP A34005 1482 48 or or CC A34005 1482 49 West West NNP A34005 1482 50 . . . A34005 1483 1 These these DT A34005 1483 2 Proportions Proportions NNPS A34005 1483 3 derived derive VBD A34005 1483 4 from from IN A34005 1483 5 the the DT A34005 1483 6 Analemma Analemma NNP A34005 1483 7 , , , A34005 1483 8 are be VBP A34005 1483 9 general general JJ A34005 1483 10 both both DT A34005 1483 11 for for IN A34005 1483 12 the the DT A34005 1483 13 Sun Sun NNP A34005 1483 14 and and CC A34005 1483 15 Stars Stars NNPS A34005 1483 16 in in IN A34005 1483 17 all all DT A34005 1483 18 Latitudes latitude NNS A34005 1483 19 ; ; : A34005 1483 20 but but CC A34005 1483 21 when when WRB A34005 1483 22 the the DT A34005 1483 23 Declination declination NN A34005 1483 24 either either CC A34005 1483 25 of of IN A34005 1483 26 Sun Sun NNP A34005 1483 27 or or CC A34005 1483 28 Stars Stars NNPS A34005 1483 29 exceed exceed VBP A34005 1483 30 the the DT A34005 1483 31 Latitude Latitude NNP A34005 1483 32 of of IN A34005 1483 33 the the DT A34005 1483 34 place place NN A34005 1483 35 , , , A34005 1483 36 this this DT A34005 1483 37 Proportion proportion NN A34005 1483 38 for for IN A34005 1483 39 finding find VBG A34005 1483 40 the the DT A34005 1483 41 Azimuth Azimuth NNP A34005 1483 42 can can MD A34005 1483 43 not not RB A34005 1483 44 be be VB A34005 1483 45 at at IN A34005 1483 46 some some DT A34005 1483 47 times time NNS A34005 1483 48 conveniently conveniently RB A34005 1483 49 performed perform VBD A34005 1483 50 on on IN A34005 1483 51 a a DT A34005 1483 52 Quadrant Quadrant NNP A34005 1483 53 , , , A34005 1483 54 but but CC A34005 1483 55 must must MD A34005 1483 56 be be VB A34005 1483 57 supplyed supply VBN A34005 1483 58 from from IN A34005 1483 59 another another DT A34005 1483 60 Proportion proportion NN A34005 1483 61 , , , A34005 1483 62 whereof whereof IN A34005 1483 63 more more RBR A34005 1483 64 hereafter hereafter RB A34005 1483 65 . . . A34005 1484 1 Of of IN A34005 1484 2 the the DT A34005 1484 3 Hour Hour NNP A34005 1484 4 and and CC A34005 1484 5 Azimuth Azimuth NNP A34005 1484 6 Scales Scales NNP A34005 1484 7 on on IN A34005 1484 8 the the DT A34005 1484 9 Edges Edges NNP A34005 1484 10 of of IN A34005 1484 11 the the DT A34005 1484 12 Quadrant Quadrant NNP A34005 1484 13 . . . A34005 1485 1 These these DT A34005 1485 2 Scales scale NNS A34005 1485 3 are be VBP A34005 1485 4 fitted fit VBN A34005 1485 5 for for IN A34005 1485 6 the the DT A34005 1485 7 more more RBR A34005 1485 8 ready ready JJ A34005 1485 9 finding find VBG A34005 1485 10 the the DT A34005 1485 11 Hour Hour NNP A34005 1485 12 and and CC A34005 1485 13 Azimuth Azimuth NNP A34005 1485 14 in in IN A34005 1485 15 one one CD A34005 1485 16 Latitude Latitude NNP A34005 1485 17 , , , A34005 1485 18 being be VBG A34005 1485 19 only only RB A34005 1485 20 to to TO A34005 1485 21 facilitate facilitate VB A34005 1485 22 the the DT A34005 1485 23 former former JJ A34005 1485 24 general general JJ A34005 1485 25 Way way NN A34005 1485 26 . . . A34005 1486 1 The the DT A34005 1486 2 Labour Labour NNP A34005 1486 3 saved save VBD A34005 1486 4 hereby hereby RB A34005 1486 5 is be VBZ A34005 1486 6 twofold twofold JJ A34005 1486 7 , , , A34005 1486 8 first first RB A34005 1486 9 the the DT A34005 1486 10 Suns Suns NNP A34005 1486 11 declination declination NN A34005 1486 12 is be VBZ A34005 1486 13 graved grave VBN A34005 1486 14 against against IN A34005 1486 15 the the DT A34005 1486 16 Suns Suns NNP A34005 1486 17 Altitude Altitude NNP A34005 1486 18 of of IN A34005 1486 19 6 6 CD A34005 1486 20 in in IN A34005 1486 21 the the DT A34005 1486 22 Hour Hour NNP A34005 1486 23 scale scale NN A34005 1486 24 , , , A34005 1486 25 and and CC A34005 1486 26 the the DT A34005 1486 27 said say VBN A34005 1486 28 Declinations declination NNS A34005 1486 29 continued continue VBD A34005 1486 30 at at IN A34005 1486 31 the the DT A34005 1486 32 other other JJ A34005 1486 33 end end NN A34005 1486 34 of of IN A34005 1486 35 the the DT A34005 1486 36 said say VBN A34005 1486 37 hour hour NN A34005 1486 38 Scale Scale NNP A34005 1486 39 to to TO A34005 1486 40 give give VB A34005 1486 41 the the DT A34005 1486 42 quantity quantity NN A34005 1486 43 of of IN A34005 1486 44 the the DT A34005 1486 45 Suns Suns NNP A34005 1486 46 Depression Depression NNP A34005 1486 47 in in IN A34005 1486 48 Winter Winter NNP A34005 1486 49 equal equal JJ A34005 1486 50 to to IN A34005 1486 51 his -PRON- PRP$ A34005 1486 52 Altitude altitude NN A34005 1486 53 in in IN A34005 1486 54 Summer summer NN A34005 1486 55 ; ; : A34005 1486 56 and and CC A34005 1486 57 secondly secondly RB A34005 1486 58 they -PRON- PRP A34005 1486 59 are be VBP A34005 1486 60 of of IN A34005 1486 61 a a DT A34005 1486 62 fitted fit VBN A34005 1486 63 length length NN A34005 1486 64 as as IN A34005 1486 65 was be VBD A34005 1486 66 shewed shew VBN A34005 1486 67 in in IN A34005 1486 68 the the DT A34005 1486 69 Description description NN A34005 1486 70 of of IN A34005 1486 71 the the DT A34005 1486 72 Quadrant Quadrant NNP A34005 1486 73 , , , A34005 1486 74 and and CC A34005 1486 75 thereby thereby RB A34005 1486 76 half half PDT A34005 1486 77 the the DT A34005 1486 78 trouble trouble NN A34005 1486 79 by by IN A34005 1486 80 introducing introduce VBG A34005 1486 81 the the DT A34005 1486 82 Radius Radius NNP A34005 1486 83 shunned shun VBN A34005 1486 84 . . . A34005 1487 1 The the DT A34005 1487 2 Vse vse NN A34005 1487 3 of of IN A34005 1487 4 the the DT A34005 1487 5 Azimuth Azimuth NNP A34005 1487 6 Scale Scale NNP A34005 1487 7 . . . A34005 1488 1 The the DT A34005 1488 2 Altitude altitude NN A34005 1488 3 and and CC A34005 1488 4 Declination declination NN A34005 1488 5 of of IN A34005 1488 6 the the DT A34005 1488 7 Sun Sun NNP A34005 1488 8 given give VBN A34005 1488 9 to to TO A34005 1488 10 find find VB A34005 1488 11 his -PRON- PRP$ A34005 1488 12 Azimuth azimuth NN A34005 1488 13 . . . A34005 1489 1 Take take VB A34005 1489 2 the the DT A34005 1489 3 distance distance NN A34005 1489 4 between between IN A34005 1489 5 the the DT A34005 1489 6 Suns Suns NNPS A34005 1489 7 Altitude Altitude NNP A34005 1489 8 in in IN A34005 1489 9 the the DT A34005 1489 10 Scale Scale NNP A34005 1489 11 , , , A34005 1489 12 and and CC A34005 1489 13 his -PRON- PRP$ A34005 1489 14 Declination declination NN A34005 1489 15 in in IN A34005 1489 16 Summer Summer NNP A34005 1489 17 time time NN A34005 1489 18 in in IN A34005 1489 19 that that DT A34005 1489 20 Scale Scale NNP A34005 1489 21 that that WDT A34005 1489 22 stands stand VBZ A34005 1489 23 adjoyning adjoyne VBG A34005 1489 24 to to IN A34005 1489 25 the the DT A34005 1489 26 side side NN A34005 1489 27 ; ; : A34005 1489 28 in in IN A34005 1489 29 Winter Winter NNP A34005 1489 30 in in IN A34005 1489 31 that that DT A34005 1489 32 Scale scale NN A34005 1489 33 that that WDT A34005 1489 34 is be VBZ A34005 1489 35 continued continue VBN A34005 1489 36 the the DT A34005 1489 37 other other JJ A34005 1489 38 way way NN A34005 1489 39 beyond beyond IN A34005 1489 40 the the DT A34005 1489 41 beginning beginning NN A34005 1489 42 , , , A34005 1489 43 and and CC A34005 1489 44 laying lay VBG A34005 1489 45 the the DT A34005 1489 46 Thread thread NN A34005 1489 47 to to IN A34005 1489 48 the the DT A34005 1489 49 Complement Complement NNP A34005 1489 50 of of IN A34005 1489 51 the the DT A34005 1489 52 Suns Suns NNPS A34005 1489 53 Altitude Altitude NNP A34005 1489 54 in in IN A34005 1489 55 the the DT A34005 1489 56 lesser less JJR A34005 1489 57 sines sine NNS A34005 1489 58 , , , A34005 1489 59 which which WDT A34005 1489 60 is be VBZ A34005 1489 61 double double RB A34005 1489 62 numbred numbre VBN A34005 1489 63 , , , A34005 1489 64 enter enter VB A34005 1489 65 this this DT A34005 1489 66 extent extent NN A34005 1489 67 between between IN A34005 1489 68 the the DT A34005 1489 69 Scale Scale NNP A34005 1489 70 and and CC A34005 1489 71 the the DT A34005 1489 72 Thread Thread NNP A34005 1489 73 parralelly parralelly RB A34005 1489 74 , , , A34005 1489 75 and and CC A34005 1489 76 the the DT A34005 1489 77 foot foot NN A34005 1489 78 of of IN A34005 1489 79 the the DT A34005 1489 80 Compasses Compasses NNPS A34005 1489 81 sheweth sheweth NN A34005 1489 82 in in IN A34005 1489 83 the the DT A34005 1489 84 Line Line NNP A34005 1489 85 of of IN A34005 1489 86 Sines sine NNS A34005 1489 87 the the DT A34005 1489 88 Azimuth Azimuth NNP A34005 1489 89 accordingly accordingly RB A34005 1489 90 , , , A34005 1489 91 Declination Declination NNP A34005 1489 92 23 23 CD A34005 1489 93 d d CD A34005 1489 94 31′ 31′ CD A34005 1489 95 , , , A34005 1489 96 Altitude altitude NN A34005 1489 97 47 47 CD A34005 1489 98 d d CD A34005 1489 99 27′ 27′ CD A34005 1489 100 , , , A34005 1489 101 the the DT A34005 1489 102 Azimuth Azimuth NNP A34005 1489 103 thereto thereto NN A34005 1489 104 would would MD A34005 1489 105 be be VB A34005 1489 106 25 25 CD A34005 1489 107 d d NN A34005 1489 108 from from IN A34005 1489 109 East East NNP A34005 1489 110 or or CC A34005 1489 111 West West NNP A34005 1489 112 in in IN A34005 1489 113 Summer Summer NNP A34005 1489 114 , , , A34005 1489 115 and and CC A34005 1489 116 if if IN A34005 1489 117 the the DT A34005 1489 118 Altitude Altitude NNP A34005 1489 119 were be VBD A34005 1489 120 9 9 CD A34005 1489 121 d d NN A34005 1489 122 43′ 43′ CD A34005 1489 123 in in IN A34005 1489 124 Winter Winter NNP A34005 1489 125 the the DT A34005 1489 126 Azimuth Azimuth NNP A34005 1489 127 thereto thereto NN A34005 1489 128 would would MD A34005 1489 129 be be VB A34005 1489 130 30 30 CD A34005 1489 131 d d NN A34005 1489 132 either either DT A34005 1489 133 way way NN A34005 1489 134 from from IN A34005 1489 135 the the DT A34005 1489 136 Meridian Meridian NNP A34005 1489 137 . . . A34005 1490 1 And and CC A34005 1490 2 so so RB A34005 1490 3 when when WRB A34005 1490 4 the the DT A34005 1490 5 Sun Sun NNP A34005 1490 6 hath hath NN A34005 1490 7 no no DT A34005 1490 8 Altitude altitude NN A34005 1490 9 , , , A34005 1490 10 lay lie VBD A34005 1490 11 the the DT A34005 1490 12 Thread Thread NNP A34005 1490 13 over over IN A34005 1490 14 90 90 CD A34005 1490 15 d d NN A34005 1490 16 in in IN A34005 1490 17 the the DT A34005 1490 18 lesser less JJR A34005 1490 19 Sines Sines NNPS A34005 1490 20 and and CC A34005 1490 21 enter enter VB A34005 1490 22 the the DT A34005 1490 23 extent extent NN A34005 1490 24 from from IN A34005 1490 25 the the DT A34005 1490 26 beginning beginning NN A34005 1490 27 of of IN A34005 1490 28 the the DT A34005 1490 29 Azimuth Azimuth NNP A34005 1490 30 Scale Scale NNP A34005 1490 31 to to IN A34005 1490 32 the the DT A34005 1490 33 Declination declination NN A34005 1490 34 , , , A34005 1490 35 and and CC A34005 1490 36 you -PRON- PRP A34005 1490 37 will will MD A34005 1490 38 finde finde VB A34005 1490 39 the the DT A34005 1490 40 Amplitude Amplitude NNP A34005 1490 41 which which WDT A34005 1490 42 to to IN A34005 1490 43 this this DT A34005 1490 44 Declination declination NN A34005 1490 45 will will MD A34005 1490 46 be be VB A34005 1490 47 39 39 CD A34005 1490 48 d d NN A34005 1490 49 50′ 50′ CD A34005 1490 50 . . . A34005 1491 1 The the DT A34005 1491 2 Vses Vses NNPS A34005 1491 3 of of IN A34005 1491 4 the the DT A34005 1491 5 Hour Hour NNP A34005 1491 6 Scale Scale NNP A34005 1491 7 . . . A34005 1492 1 To to TO A34005 1492 2 find find VB A34005 1492 3 the the DT A34005 1492 4 Hour Hour NNP A34005 1492 5 of of IN A34005 1492 6 the the DT A34005 1492 7 Day day NN A34005 1492 8 . . . A34005 1493 1 TAke take VB A34005 1493 2 the the DT A34005 1493 3 distance distance NN A34005 1493 4 between between IN A34005 1493 5 the the DT A34005 1493 6 Suns Suns NNPS A34005 1493 7 Altitude Altitude NNP A34005 1493 8 in in IN A34005 1493 9 the the DT A34005 1493 10 hour hour NN A34005 1493 11 Scale Scale NNP A34005 1493 12 , , , A34005 1493 13 and and CC A34005 1493 14 his -PRON- PRP$ A34005 1493 15 Declination declination NN A34005 1493 16 proper proper JJ A34005 1493 17 to to IN A34005 1493 18 the the DT A34005 1493 19 season season NN A34005 1493 20 of of IN A34005 1493 21 the the DT A34005 1493 22 year year NN A34005 1493 23 , , , A34005 1493 24 then then RB A34005 1493 25 laying lay VBG A34005 1493 26 the the DT A34005 1493 27 Thread thread NN A34005 1493 28 to to IN A34005 1493 29 the the DT A34005 1493 30 Complement Complement NNP A34005 1493 31 of of IN A34005 1493 32 the the DT A34005 1493 33 Suns Suns NNPS A34005 1493 34 Declination Declination NNP A34005 1493 35 in in IN A34005 1493 36 the the DT A34005 1493 37 lesser less JJR A34005 1493 38 sines sine NNS A34005 1493 39 enter enter VBP A34005 1493 40 the the DT A34005 1493 41 former former JJ A34005 1493 42 extent extent NN A34005 1493 43 between between IN A34005 1493 44 the the DT A34005 1493 45 Scale Scale NNP A34005 1493 46 and and CC A34005 1493 47 the the DT A34005 1493 48 Thread thread NN A34005 1493 49 and and CC A34005 1493 50 the the DT A34005 1493 51 foot foot NN A34005 1493 52 of of IN A34005 1493 53 the the DT A34005 1493 54 Compasses Compasses NNPS A34005 1493 55 sheweth sheweth VBZ A34005 1493 56 the the DT A34005 1493 57 sine sine NN A34005 1493 58 of of IN A34005 1493 59 the the DT A34005 1493 60 hour hour NN A34005 1493 61 . . . A34005 1494 1 Example example NN A34005 1494 2 . . . A34005 1495 1 If if IN A34005 1495 2 the the DT A34005 1495 3 Declination Declination NNP A34005 1495 4 were be VBD A34005 1495 5 13 13 CD A34005 1495 6 d d NN A34005 1495 7 North North NNP A34005 1495 8 , , , A34005 1495 9 and and CC A34005 1495 10 the the DT A34005 1495 11 Altitude Altitude NNP A34005 1495 12 37d 37d CD A34005 1495 13 13′ 13′ CD A34005 1495 14 take take VBP A34005 1495 15 the the DT A34005 1495 16 distance distance NN A34005 1495 17 between between IN A34005 1495 18 it -PRON- PRP A34005 1495 19 in in IN A34005 1495 20 the the DT A34005 1495 21 Scale Scale NNP A34005 1495 22 and and CC A34005 1495 23 13 13 CD A34005 1495 24 d d NN A34005 1495 25 in in IN A34005 1495 26 the the DT A34005 1495 27 prickt prickt NNS A34005 1495 28 Line Line NNP A34005 1495 29 , , , A34005 1495 30 then then RB A34005 1495 31 laying lay VBG A34005 1495 32 the the DT A34005 1495 33 Thread Thread NNP A34005 1495 34 to to IN A34005 1495 35 77 77 CD A34005 1495 36 d d NN A34005 1495 37 in in IN A34005 1495 38 the the DT A34005 1495 39 lesser less JJR A34005 1495 40 sine sine NN A34005 1495 41 enter enter VBP A34005 1495 42 that that DT A34005 1495 43 extent extent NN A34005 1495 44 between between IN A34005 1495 45 the the DT A34005 1495 46 Scale Scale NNP A34005 1495 47 and and CC A34005 1495 48 the the DT A34005 1495 49 Thread thread NN A34005 1495 50 , , , A34005 1495 51 and and CC A34005 1495 52 the the DT A34005 1495 53 resting rest VBG A34005 1495 54 foot foot NN A34005 1495 55 will will MD A34005 1495 56 shew shew VB A34005 1495 57 45 45 CD A34005 1495 58 d d NNS A34005 1495 59 for for IN A34005 1495 60 the the DT A34005 1495 61 hour hour NN A34005 1495 62 from from IN A34005 1495 63 6 6 CD A34005 1495 64 , , , A34005 1495 65 that that WDT A34005 1495 66 is is RB A34005 1495 67 either either CC A34005 1495 68 9 9 CD A34005 1495 69 in in IN A34005 1495 70 the the DT A34005 1495 71 forenoon forenoon NN A34005 1495 72 , , , A34005 1495 73 or or CC A34005 1495 74 3 3 CD A34005 1495 75 in in IN A34005 1495 76 the the DT A34005 1495 77 afternoon afternoon NN A34005 1495 78 . . . A34005 1496 1 The the DT A34005 1496 2 Converse Converse NNP A34005 1496 3 of of IN A34005 1496 4 the the DT A34005 1496 5 former former JJ A34005 1496 6 Proposition Proposition NNP A34005 1496 7 will will MD A34005 1496 8 be be VB A34005 1496 9 to to TO A34005 1496 10 find find VB A34005 1496 11 the the DT A34005 1496 12 Suns Suns NNPS A34005 1496 13 Altitude Altitude NNP A34005 1496 14 on on IN A34005 1496 15 all all DT A34005 1496 16 Hours hour NNS A34005 1496 17 . . . A34005 1497 1 The the DT A34005 1497 2 Thread Thread NNP A34005 1497 3 lying lie VBG A34005 1497 4 over over IN A34005 1497 5 the the DT A34005 1497 6 Complement Complement NNP A34005 1497 7 of of IN A34005 1497 8 the the DT A34005 1497 9 Suns Suns NNPS A34005 1497 10 Declination Declination NNP A34005 1497 11 in in IN A34005 1497 12 the the DT A34005 1497 13 lesser less JJR A34005 1497 14 sines sine NNS A34005 1497 15 from from IN A34005 1497 16 the the DT A34005 1497 17 sine sine NN A34005 1497 18 of of IN A34005 1497 19 the the DT A34005 1497 20 hour hour NN A34005 1497 21 , , , A34005 1497 22 take take VB A34005 1497 23 the the DT A34005 1497 24 nearest near JJS A34005 1497 25 distance distance NN A34005 1497 26 to to IN A34005 1497 27 it -PRON- PRP A34005 1497 28 , , , A34005 1497 29 then then RB A34005 1497 30 set set VB A34005 1497 31 down down RP A34005 1497 32 one one CD A34005 1497 33 foot foot NN A34005 1497 34 of of IN A34005 1497 35 that that DT A34005 1497 36 extent extent NN A34005 1497 37 in in IN A34005 1497 38 the the DT A34005 1497 39 hour hour NN A34005 1497 40 Scale scale NN A34005 1497 41 at at IN A34005 1497 42 the the DT A34005 1497 43 Declination declination NN A34005 1497 44 , , , A34005 1497 45 and and CC A34005 1497 46 the the DT A34005 1497 47 other other JJ A34005 1497 48 will will MD A34005 1497 49 reach reach VB A34005 1497 50 to to IN A34005 1497 51 the the DT A34005 1497 52 Altitude altitude NN A34005 1497 53 . . . A34005 1498 1 Example example NN A34005 1498 2 . . . A34005 1499 1 At at IN A34005 1499 2 London London NNP A34005 1499 3 , , , A34005 1499 4 for for IN A34005 1499 5 these these DT A34005 1499 6 Scales scale NNS A34005 1499 7 are be VBP A34005 1499 8 fitted fit VBN A34005 1499 9 thereto thereto NN A34005 1499 10 , , , A34005 1499 11 I -PRON- PRP A34005 1499 12 would would MD A34005 1499 13 find find VB A34005 1499 14 the the DT A34005 1499 15 Suns Suns NNPS A34005 1499 16 Altitude Altitude NNP A34005 1499 17 at at IN A34005 1499 18 the the DT A34005 1499 19 hours hour NNS A34005 1499 20 of of IN A34005 1499 21 5 5 CD A34005 1499 22 and and CC A34005 1499 23 at at IN A34005 1499 24 7 7 CD A34005 1499 25 in in IN A34005 1499 26 the the DT A34005 1499 27 morning morning NN A34005 1499 28 in in IN A34005 1499 29 Summer Summer NNP A34005 1499 30 when when WRB A34005 1499 31 the the DT A34005 1499 32 Sun Sun NNP A34005 1499 33 hath hath NNP A34005 1499 34 23 23 CD A34005 1499 35 d d NN A34005 1499 36 31′ 31′ CD A34005 1499 37 of of IN A34005 1499 38 Declination Declination NNP A34005 1499 39 . . . A34005 1500 1 Here here RB A34005 1500 2 laying lay VBG A34005 1500 3 the the DT A34005 1500 4 Thread thread NN A34005 1500 5 to to IN A34005 1500 6 23 23 CD A34005 1500 7 d d NNS A34005 1500 8 31′ 31′ CD A34005 1500 9 the the DT A34005 1500 10 Suns Suns NNPS A34005 1500 11 declination declination NN A34005 1500 12 from from IN A34005 1500 13 the the DT A34005 1500 14 end end NN A34005 1500 15 of of IN A34005 1500 16 the the DT A34005 1500 17 lesser less JJR A34005 1500 18 Sines sine NNS A34005 1500 19 being be VBG A34005 1500 20 double double RB A34005 1500 21 numbred numbre VBN A34005 1500 22 , , , A34005 1500 23 from from IN A34005 1500 24 the the DT A34005 1500 25 sine sine NN A34005 1500 26 of of IN A34005 1500 27 15 15 CD A34005 1500 28 d d NNS A34005 1500 29 , , , A34005 1500 30 taking take VBG A34005 1500 31 the the DT A34005 1500 32 nearest near JJS A34005 1500 33 distance distance NN A34005 1500 34 to to IN A34005 1500 35 it -PRON- PRP A34005 1500 36 , , , A34005 1500 37 set set VB A34005 1500 38 down down RP A34005 1500 39 one one CD A34005 1500 40 foot foot NN A34005 1500 41 of of IN A34005 1500 42 this this DT A34005 1500 43 extent extent NN A34005 1500 44 at at IN A34005 1500 45 23 23 CD A34005 1500 46 d d NNS A34005 1500 47 31′ 31′ CD A34005 1500 48 the the DT A34005 1500 49 declination declination NN A34005 1500 50 it -PRON- PRP A34005 1500 51 reaches reach VBZ A34005 1500 52 downwards downwards RB A34005 1500 53 to to IN A34005 1500 54 9 9 CD A34005 1500 55 d d CD A34005 1500 56 30′ 30′ CD A34005 1500 57 , , , A34005 1500 58 and and CC A34005 1500 59 upwards upwards RB A34005 1500 60 to to IN A34005 1500 61 27 27 CD A34005 1500 62 d d CD A34005 1500 63 23′ 23′ CD A34005 1500 64 the the DT A34005 1500 65 Suns Suns NNPS A34005 1500 66 Altitude Altitude NNP A34005 1500 67 at at IN A34005 1500 68 5 5 CD A34005 1500 69 and and CC A34005 1500 70 7 7 CD A34005 1500 71 a a DT A34005 1500 72 clock clock NN A34005 1500 73 in in IN A34005 1500 74 the the DT A34005 1500 75 morning morning NN A34005 1500 76 in in IN A34005 1500 77 Summer Summer NNP A34005 1500 78 . . . A34005 1501 1 Another another DT A34005 1501 2 Example example NN A34005 1501 3 . . . A34005 1502 1 Let let VB A34005 1502 2 it -PRON- PRP A34005 1502 3 be be VB A34005 1502 4 required require VBN A34005 1502 5 to to TO A34005 1502 6 find find VB A34005 1502 7 the the DT A34005 1502 8 Suns Suns NNPS A34005 1502 9 Altitudes altitude NNS A34005 1502 10 at at IN A34005 1502 11 the the DT A34005 1502 12 hours hour NNS A34005 1502 13 of of IN A34005 1502 14 10 10 CD A34005 1502 15 or or CC A34005 1502 16 2 2 CD A34005 1502 17 when when WRB A34005 1502 18 his -PRON- PRP$ A34005 1502 19 declination declination NN A34005 1502 20 is be VBZ A34005 1502 21 23d 23d CD A34005 1502 22 31′ 31′ CD A34005 1502 23 both both CC A34005 1502 24 North North NNP A34005 1502 25 and and CC A34005 1502 26 South South NNP A34005 1502 27 . . . A34005 1503 1 The the DT A34005 1503 2 Thread Thread NNP A34005 1503 3 lying lie VBG A34005 1503 4 as as IN A34005 1503 5 before before RB A34005 1503 6 over over IN A34005 1503 7 the the DT A34005 1503 8 lesser less JJR A34005 1503 9 sines sine NNS A34005 1503 10 take take VBP A34005 1503 11 the the DT A34005 1503 12 nearest near JJS A34005 1503 13 distance distance NN A34005 1503 14 to to IN A34005 1503 15 it -PRON- PRP A34005 1503 16 from from IN A34005 1503 17 60d 60d NNS A34005 1503 18 in in IN A34005 1503 19 the the DT A34005 1503 20 sines sine NNS A34005 1503 21 , , , A34005 1503 22 the the DT A34005 1503 23 said say VBD A34005 1503 24 extent extent NN A34005 1503 25 set set VBN A34005 1503 26 down down RP A34005 1503 27 at at IN A34005 1503 28 23d 23d CD A34005 1503 29 31′ 31′ CD A34005 1503 30 in in IN A34005 1503 31 the the DT A34005 1503 32 prickt prickt NNS A34005 1503 33 Line line NN A34005 1503 34 reaches reach VBZ A34005 1503 35 to to IN A34005 1503 36 53 53 CD A34005 1503 37 d d NN A34005 1503 38 44′ 44′ CD A34005 1503 39 for for IN A34005 1503 40 the the DT A34005 1503 41 Summer Summer NNP A34005 1503 42 Altitude Altitude NNP A34005 1503 43 , , , A34005 1503 44 and and CC A34005 1503 45 being be VBG A34005 1503 46 set set VBN A34005 1503 47 down down RP A34005 1503 48 at at IN A34005 1503 49 23d 23d CD A34005 1503 50 31′ 31′ CD A34005 1503 51 on on IN A34005 1503 52 the the DT A34005 1503 53 other other JJ A34005 1503 54 or or CC A34005 1503 55 lower low JJR A34005 1503 56 continued continue VBN A34005 1503 57 Line Line NNP A34005 1503 58 reaches reach VBZ A34005 1503 59 to to IN A34005 1503 60 10d 10d CD A34005 1503 61 28′ 28′ CD A34005 1503 62 for for IN A34005 1503 63 the the DT A34005 1503 64 Winter Winter NNP A34005 1503 65 Altitude Altitude NNP A34005 1503 66 . . . A34005 1504 1 The the DT A34005 1504 2 Hour Hour NNP A34005 1504 3 may may MD A34005 1504 4 be be VB A34005 1504 5 also also RB A34005 1504 6 sound sound JJ A34005 1504 7 in in IN A34005 1504 8 the the DT A34005 1504 9 Versed versed JJ A34005 1504 10 sines sine NNS A34005 1504 11 by by IN A34005 1504 12 help help NN A34005 1504 13 of of IN A34005 1504 14 this this DT A34005 1504 15 fitted fitted JJ A34005 1504 16 hour hour NN A34005 1504 17 Scale scale NN A34005 1504 18 , , , A34005 1504 19 Take take VB A34005 1504 20 the the DT A34005 1504 21 distance distance NN A34005 1504 22 between between IN A34005 1504 23 the the DT A34005 1504 24 Suns Suns NNPS A34005 1504 25 Altitude Altitude NNP A34005 1504 26 , , , A34005 1504 27 admit admit VBP A34005 1504 28 36d 36d NNS A34005 1504 29 42′ 42′ CD A34005 1504 30 , , , A34005 1504 31 and and CC A34005 1504 32 his -PRON- PRP$ A34005 1504 33 Meridian Meridian NNP A34005 1504 34 Altitude Altitude NNP A34005 1504 35 to to IN A34005 1504 36 that that DT A34005 1504 37 Declination Declination NNP A34005 1504 38 61 61 CD A34005 1504 39 d d NN A34005 1504 40 59′ 59′ CD A34005 1504 41 , , , A34005 1504 42 and and CC A34005 1504 43 enter enter VB A34005 1504 44 one one CD A34005 1504 45 foot foot NN A34005 1504 46 of of IN A34005 1504 47 this this DT A34005 1504 48 extent extent NN A34005 1504 49 at at IN A34005 1504 50 the the DT A34005 1504 51 sine sine NN A34005 1504 52 of of IN A34005 1504 53 66 66 CD A34005 1504 54 d d SYM A34005 1504 55 29′ 29′ CD A34005 1504 56 , , , A34005 1504 57 and and CC A34005 1504 58 laying lay VBG A34005 1504 59 the the DT A34005 1504 60 Thread thread NN A34005 1504 61 to to IN A34005 1504 62 the the DT A34005 1504 63 other other JJ A34005 1504 64 foot foot NN A34005 1504 65 according accord VBG A34005 1504 66 to to IN A34005 1504 67 nearest near JJS A34005 1504 68 distance distance NN A34005 1504 69 and and CC A34005 1504 70 it -PRON- PRP A34005 1504 71 will will MD A34005 1504 72 lye lye VB A34005 1504 73 over over IN A34005 1504 74 the the DT A34005 1504 75 hours hour NNS A34005 1504 76 of of IN A34005 1504 77 8 8 CD A34005 1504 78 in in IN A34005 1504 79 the the DT A34005 1504 80 morning morning NN A34005 1504 81 , , , A34005 1504 82 or or CC A34005 1504 83 4 4 CD A34005 1504 84 in in IN A34005 1504 85 the the DT A34005 1504 86 afternoon afternoon NN A34005 1504 87 in in IN A34005 1504 88 the the DT A34005 1504 89 Versed versed JJ A34005 1504 90 sines sine NNS A34005 1504 91 in in IN A34005 1504 92 the the DT A34005 1504 93 Limb Limb NNP A34005 1504 94 , , , A34005 1504 95 and and CC A34005 1504 96 thereby thereby RB A34005 1504 97 also also RB A34005 1504 98 may may MD A34005 1504 99 the the DT A34005 1504 100 time time NN A34005 1504 101 of of IN A34005 1504 102 Suns Suns NNPS A34005 1504 103 rising rise VBG A34005 1504 104 be be VB A34005 1504 105 found find VBN A34005 1504 106 by by IN A34005 1504 107 taking take VBG A34005 1504 108 the the DT A34005 1504 109 distance distance NN A34005 1504 110 from from IN A34005 1504 111 0 0 CD A34005 1504 112 to to IN A34005 1504 113 the the DT A34005 1504 114 Meridian Meridian NNP A34005 1504 115 Altitude Altitude NNP A34005 1504 116 and and CC A34005 1504 117 entring entre VBG A34005 1504 118 it -PRON- PRP A34005 1504 119 at at IN A34005 1504 120 the the DT A34005 1504 121 Cosine Cosine NNP A34005 1504 122 of of IN A34005 1504 123 the the DT A34005 1504 124 Declination Declination NNP A34005 1504 125 as as IN A34005 1504 126 before before IN A34005 1504 127 and and CC A34005 1504 128 the the DT A34005 1504 129 Converse Converse NNP A34005 1504 130 will will MD A34005 1504 131 find find VB A34005 1504 132 the the DT A34005 1504 133 Suns Suns NNPS A34005 1504 134 Altitudes Altitudes NNPS A34005 1504 135 on on IN A34005 1504 136 all all DT A34005 1504 137 hours hour NNS A34005 1504 138 by by IN A34005 1504 139 taking take VBG A34005 1504 140 the the DT A34005 1504 141 distance distance NN A34005 1504 142 from from IN A34005 1504 143 the the DT A34005 1504 144 Co co NN A34005 1504 145 - - NN A34005 1504 146 sine sine NN A34005 1504 147 of of IN A34005 1504 148 the the DT A34005 1504 149 Declination Declination NNP A34005 1504 150 to to IN A34005 1504 151 the the DT A34005 1504 152 Thread thread NN A34005 1504 153 laid lay VBN A34005 1504 154 over over IN A34005 1504 155 the the DT A34005 1504 156 Versed versed JJ A34005 1504 157 sine sine NN A34005 1504 158 of of IN A34005 1504 159 the the DT A34005 1504 160 hour hour NN A34005 1504 161 from from IN A34005 1504 162 Noon Noon NNP A34005 1504 163 , , , A34005 1504 164 and and CC A34005 1504 165 the the DT A34005 1504 166 said say VBN A34005 1504 167 Extent extent NN A34005 1504 168 will will MD A34005 1504 169 reach reach VB A34005 1504 170 from from IN A34005 1504 171 the the DT A34005 1504 172 Mridian Mridian NNP A34005 1504 173 Altitude Altitude NNP A34005 1504 174 in in IN A34005 1504 175 the the DT A34005 1504 176 fitted fitted JJ A34005 1504 177 Scale Scale NNP A34005 1504 178 to to IN A34005 1504 179 the the DT A34005 1504 180 Altitude altitude NN A34005 1504 181 sought seek VBD A34005 1504 182 . . . A34005 1505 1 To to TO A34005 1505 2 find find VB A34005 1505 3 the the DT A34005 1505 4 time time NN A34005 1505 5 of of IN A34005 1505 6 Sun Sun NNP A34005 1505 7 rising rise VBG A34005 1505 8 or or CC A34005 1505 9 setting set VBG A34005 1505 10 , , , A34005 1505 11 Lay Lay NNP A34005 1505 12 the the DT A34005 1505 13 Thread thread NN A34005 1505 14 over over IN A34005 1505 15 the the DT A34005 1505 16 Complement Complement NNP A34005 1505 17 of of IN A34005 1505 18 the the DT A34005 1505 19 declination declination NN A34005 1505 20 as as IN A34005 1505 21 before before RB A34005 1505 22 , , , A34005 1505 23 in in IN A34005 1505 24 the the DT A34005 1505 25 lesser less JJR A34005 1505 26 sines sine NNS A34005 1505 27 , , , A34005 1505 28 and and CC A34005 1505 29 enter enter VB A34005 1505 30 the the DT A34005 1505 31 extent extent NN A34005 1505 32 between between IN A34005 1505 33 the the DT A34005 1505 34 ☉ ☉ NNPS A34005 1505 35 Altitude Altitude NNP A34005 1505 36 , , , A34005 1505 37 which which WDT A34005 1505 38 is be VBZ A34005 1505 39 nothing nothing NN A34005 1505 40 that that WDT A34005 1505 41 is be VBZ A34005 1505 42 from from IN A34005 1505 43 the the DT A34005 1505 44 beginning beginning NN A34005 1505 45 of of IN A34005 1505 46 the the DT A34005 1505 47 Hour Hour NNP A34005 1505 48 Scale Scale NNP A34005 1505 49 to to IN A34005 1505 50 the the DT A34005 1505 51 Declination declination NN A34005 1505 52 between between IN A34005 1505 53 the the DT A34005 1505 54 Scale Scale NNP A34005 1505 55 and and CC A34005 1505 56 the the DT A34005 1505 57 Thread thread NN A34005 1505 58 and and CC A34005 1505 59 the the DT A34005 1505 60 foot foot NN A34005 1505 61 of of IN A34005 1505 62 the the DT A34005 1505 63 Compasses Compasses NNPS A34005 1505 64 shews shew VBZ A34005 1505 65 it -PRON- PRP A34005 1505 66 in in IN A34005 1505 67 the the DT A34005 1505 68 Line Line NNP A34005 1505 69 of of IN A34005 1505 70 sines sine NNS A34005 1505 71 , , , A34005 1505 72 which which WDT A34005 1505 73 may may MD A34005 1505 74 be be VB A34005 1505 75 converted convert VBN A34005 1505 76 into into IN A34005 1505 77 Time Time NNP A34005 1505 78 by by IN A34005 1505 79 help help NN A34005 1505 80 of of IN A34005 1505 81 the the DT A34005 1505 82 Limb Limb NNP A34005 1505 83 . . . A34005 1506 1 If if IN A34005 1506 2 these these DT A34005 1506 3 Scales scale NNS A34005 1506 4 be be VB A34005 1506 5 continued continue VBN A34005 1506 6 further further RB A34005 1506 7 in in IN A34005 1506 8 length length NN A34005 1506 9 as as IN A34005 1506 10 also also RB A34005 1506 11 the the DT A34005 1506 12 Declinations declination NNS A34005 1506 13 they -PRON- PRP A34005 1506 14 will will MD A34005 1506 15 after after IN A34005 1506 16 the the DT A34005 1506 17 same same JJ A34005 1506 18 manner manner NN A34005 1506 19 find find VBP A34005 1506 20 the the DT A34005 1506 21 Stars Stars NNP A34005 1506 22 hour hour NN A34005 1506 23 for for IN A34005 1506 24 any any DT A34005 1506 25 Star Star NNP A34005 1506 26 whatsoever whatsoever RB A34005 1506 27 to to TO A34005 1506 28 be be VB A34005 1506 29 converted convert VBN A34005 1506 30 into into IN A34005 1506 31 common common JJ A34005 1506 32 Time time NN A34005 1506 33 , , , A34005 1506 34 as as IN A34005 1506 35 in in IN A34005 1506 36 the the DT A34005 1506 37 uses use NNS A34005 1506 38 of of IN A34005 1506 39 the the DT A34005 1506 40 Projection Projection NNP A34005 1506 41 , , , A34005 1506 42 as as IN A34005 1506 43 also also RB A34005 1506 44 the the DT A34005 1506 45 Azimuth Azimuth NNP A34005 1506 46 of of IN A34005 1506 47 any any DT A34005 1506 48 Star Star NNP A34005 1506 49 that that WDT A34005 1506 50 hath hath VBP A34005 1506 51 less less JJR A34005 1506 52 declination declination NN A34005 1506 53 then then RB A34005 1506 54 the the DT A34005 1506 55 place place NN A34005 1506 56 hath hath NNP A34005 1506 57 Latitude Latitude NNP A34005 1506 58 , , , A34005 1506 59 but but CC A34005 1506 60 of of IN A34005 1506 61 this this DT A34005 1506 62 more more RBR A34005 1506 63 in in IN A34005 1506 64 the the DT A34005 1506 65 next next JJ A34005 1506 66 Quadrant Quadrant NNP A34005 1506 67 . . . A34005 1507 1 In in IN A34005 1507 2 Dyalling dyalle VBG A34005 1507 3 there there EX A34005 1507 4 will will MD A34005 1507 5 be be VB A34005 1507 6 often often RB A34005 1507 7 use use NN A34005 1507 8 of of IN A34005 1507 9 natural natural JJ A34005 1507 10 sines sine NNS A34005 1507 11 , , , A34005 1507 12 whereas whereas IN A34005 1507 13 these these DT A34005 1507 14 Scales scale NNS A34005 1507 15 are be VBP A34005 1507 16 continued continue VBN A34005 1507 17 but but CC A34005 1507 18 to to IN A34005 1507 19 62 62 CD A34005 1507 20 d d NNS A34005 1507 21 , , , A34005 1507 22 if if IN A34005 1507 23 therefore therefore RB A34005 1507 24 it -PRON- PRP A34005 1507 25 be be VB A34005 1507 26 desired desire VBN A34005 1507 27 to to TO A34005 1507 28 take take VB A34005 1507 29 out out RP A34005 1507 30 any any DT A34005 1507 31 sine sine NN A34005 1507 32 to to IN A34005 1507 33 the the DT A34005 1507 34 same same JJ A34005 1507 35 Radius Radius NNP A34005 1507 36 , , , A34005 1507 37 the the DT A34005 1507 38 rest rest NN A34005 1507 39 of of IN A34005 1507 40 the the DT A34005 1507 41 Scale Scale NNP A34005 1507 42 wanting wanting NN A34005 1507 43 may may MD A34005 1507 44 be be VB A34005 1507 45 easily easily RB A34005 1507 46 supplyed supply VBN A34005 1507 47 , , , A34005 1507 48 for for IN A34005 1507 49 the the DT A34005 1507 50 difference difference NN A34005 1507 51 of of IN A34005 1507 52 the the DT A34005 1507 53 sines sine NNS A34005 1507 54 of of IN A34005 1507 55 any any DT A34005 1507 56 two two CD A34005 1507 57 Arks Arks NNP A34005 1507 58 equidistant equidistant NN A34005 1507 59 from from IN A34005 1507 60 60 60 CD A34005 1507 61 d d NN A34005 1507 62 is be VBZ A34005 1507 63 equal equal JJ A34005 1507 64 to to IN A34005 1507 65 the the DT A34005 1507 66 sine sine NN A34005 1507 67 of of IN A34005 1507 68 their -PRON- PRP$ A34005 1507 69 distance distance NN A34005 1507 70 . . . A34005 1508 1 Thus thus RB A34005 1508 2 the the DT A34005 1508 3 sine sine NN A34005 1508 4 of of IN A34005 1508 5 20 20 CD A34005 1508 6 d d NNPS A34005 1508 7 is be VBZ A34005 1508 8 equal equal JJ A34005 1508 9 to to IN A34005 1508 10 the the DT A34005 1508 11 difference difference NN A34005 1508 12 of of IN A34005 1508 13 the the DT A34005 1508 14 sines sine NNS A34005 1508 15 of of IN A34005 1508 16 40 40 CD A34005 1508 17 d d NN A34005 1508 18 and and CC A34005 1508 19 80 80 CD A34005 1508 20 d d NNP A34005 1508 21 Arks Arks NNP A34005 1508 22 of of IN A34005 1508 23 like like IN A34005 1508 24 distance distance NN A34005 1508 25 from from IN A34005 1508 26 60 60 CD A34005 1508 27 d d NN A34005 1508 28 on on IN A34005 1508 29 each each DT A34005 1508 30 side side NN A34005 1508 31 , , , A34005 1508 32 and and CC A34005 1508 33 so so RB A34005 1508 34 may may MD A34005 1508 35 be be VB A34005 1508 36 added add VBN A34005 1508 37 either either CC A34005 1508 38 to to IN A34005 1508 39 40 40 CD A34005 1508 40 d d NN A34005 1508 41 forward forward RB A34005 1508 42 , , , A34005 1508 43 or or CC A34005 1508 44 the the DT A34005 1508 45 other other JJ A34005 1508 46 way way NN A34005 1508 47 from from IN A34005 1508 48 the the DT A34005 1508 49 end end NN A34005 1508 50 of of IN A34005 1508 51 the the DT A34005 1508 52 Scale Scale NNP A34005 1508 53 . . . A34005 1509 1 In in IN A34005 1509 2 finding find VBG A34005 1509 3 the the DT A34005 1509 4 Hour Hour NNP A34005 1509 5 and and CC A34005 1509 6 Azimuth Azimuth NNP A34005 1509 7 by by IN A34005 1509 8 these these DT A34005 1509 9 Scales scale NNS A34005 1509 10 , , , A34005 1509 11 not not RB A34005 1509 12 in in IN A34005 1509 13 the the DT A34005 1509 14 Versed versed JJ A34005 1509 15 sines sine NNS A34005 1509 16 , , , A34005 1509 17 the the DT A34005 1509 18 Directions Directions NNPS A34005 1509 19 altogether altogether RB A34005 1509 20 prescribe prescribe VBP A34005 1509 21 a a DT A34005 1509 22 Parralel Parralel NNP A34005 1509 23 entrance entrance NN A34005 1509 24 , , , A34005 1509 25 but but CC A34005 1509 26 if if IN A34005 1509 27 the the DT A34005 1509 28 Extent extent NN A34005 1509 29 from from IN A34005 1509 30 the the DT A34005 1509 31 Altitude altitude NN A34005 1509 32 to to IN A34005 1509 33 the the DT A34005 1509 34 Declination declination NN A34005 1509 35 be be VB A34005 1509 36 entred entre VBN A34005 1509 37 at at IN A34005 1509 38 the the DT A34005 1509 39 Cosine Cosine NNP A34005 1509 40 of of IN A34005 1509 41 the the DT A34005 1509 42 Altitude altitude NN A34005 1509 43 or or CC A34005 1509 44 of of IN A34005 1509 45 the the DT A34005 1509 46 Declination Declination NNP A34005 1509 47 in in IN A34005 1509 48 the the DT A34005 1509 49 Line Line NNP A34005 1509 50 of of IN A34005 1509 51 sines sine NNS A34005 1509 52 according accord VBG A34005 1509 53 as as IN A34005 1509 54 the the DT A34005 1509 55 Case Case NNP A34005 1509 56 is be VBZ A34005 1509 57 , , , A34005 1509 58 and and CC A34005 1509 59 the the DT A34005 1509 60 Thread thread NN A34005 1509 61 laid lay VBD A34005 1509 62 to to IN A34005 1509 63 the the DT A34005 1509 64 other other JJ A34005 1509 65 foot foot NN A34005 1509 66 , , , A34005 1509 67 the the DT A34005 1509 68 Hour Hour NNP A34005 1509 69 and and CC A34005 1509 70 Azimuth Azimuth NNP A34005 1509 71 may may MD A34005 1509 72 be be VB A34005 1509 73 found find VBN A34005 1509 74 in in IN A34005 1509 75 the the DT A34005 1509 76 lesser less JJR A34005 1509 77 sines sine NNS A34005 1509 78 by by IN A34005 1509 79 a a DT A34005 1509 80 Lateral lateral JJ A34005 1509 81 entrance entrance NN A34005 1509 82 . . . A34005 1510 1 Or or CC A34005 1510 2 if if IN A34005 1510 3 the the DT A34005 1510 4 said say VBN A34005 1510 5 Extent extent NN A34005 1510 6 be be VB A34005 1510 7 doubled double VBN A34005 1510 8 and and CC A34005 1510 9 entred entre VBN A34005 1510 10 as as IN A34005 1510 11 before before RB A34005 1510 12 hinted hint VBN A34005 1510 13 , , , A34005 1510 14 the the DT A34005 1510 15 answer answer NN A34005 1510 16 will will MD A34005 1510 17 be be VB A34005 1510 18 found find VBN A34005 1510 19 in in IN A34005 1510 20 the the DT A34005 1510 21 equal equal JJ A34005 1510 22 Limb Limb NNP A34005 1510 23 . . . A34005 1511 1 Example example NN A34005 1511 2 to to TO A34005 1511 3 find find VB A34005 1511 4 the the DT A34005 1511 5 Suns Suns NNPS A34005 1511 6 Azimuth Azimuth NNP A34005 1511 7 . . . A34005 1512 1 Declination declination NN A34005 1512 2 23 23 CD A34005 1512 3 d d CD A34005 1512 4 31′ 31′ CD A34005 1512 5 North North NNP A34005 1512 6 . . . A34005 1513 1 Altitude altitude NN A34005 1513 2 — — : A34005 1513 3 41 41 CD A34005 1513 4 : : : A34005 1513 5 34 34 CD A34005 1513 6 Having have VBG A34005 1513 7 taken take VBN A34005 1513 8 the the DT A34005 1513 9 distance distance NN A34005 1513 10 between between IN A34005 1513 11 these these DT A34005 1513 12 two two CD A34005 1513 13 Tearms tearm NNS A34005 1513 14 in in IN A34005 1513 15 the the DT A34005 1513 16 Azimuth Azimuth NNP A34005 1513 17 Scale Scale NNP A34005 1513 18 and and CC A34005 1513 19 doubled double VBD A34005 1513 20 it -PRON- PRP A34005 1513 21 , , , A34005 1513 22 enter enter VB A34005 1513 23 one one CD A34005 1513 24 foot foot NN A34005 1513 25 in in IN A34005 1513 26 the the DT A34005 1513 27 Line Line NNP A34005 1513 28 of of IN A34005 1513 29 sines sine NNS A34005 1513 30 at at IN A34005 1513 31 48 48 CD A34005 1513 32 d d NN A34005 1513 33 26′ 26′ CD A34005 1513 34 , , , A34005 1513 35 the the DT A34005 1513 36 Complement Complement NNP A34005 1513 37 of of IN A34005 1513 38 the the DT A34005 1513 39 Altitude altitude NN A34005 1513 40 , , , A34005 1513 41 and and CC A34005 1513 42 laying lay VBG A34005 1513 43 the the DT A34005 1513 44 Thread Thread NNP A34005 1513 45 to to IN A34005 1513 46 the the DT A34005 1513 47 other other JJ A34005 1513 48 according accord VBG A34005 1513 49 to to IN A34005 1513 50 nearest near JJS A34005 1513 51 distance distance NN A34005 1513 52 it -PRON- PRP A34005 1513 53 will will MD A34005 1513 54 lye lye VB A34005 1513 55 over over RB A34005 1513 56 15 15 CD A34005 1513 57 d d NN A34005 1513 58 of of IN A34005 1513 59 the the DT A34005 1513 60 equal equal JJ A34005 1513 61 Limb Limb NNP A34005 1513 62 for for IN A34005 1513 63 the the DT A34005 1513 64 Suns Suns NNPS A34005 1513 65 Azimuth Azimuth NNP A34005 1513 66 from from IN A34005 1513 67 the the DT A34005 1513 68 East East NNP A34005 1513 69 or or CC A34005 1513 70 West West NNP A34005 1513 71 Southwards Southwards NNP A34005 1513 72 . . . A34005 1514 1 The the DT A34005 1514 2 Vse vse NN A34005 1514 3 of of IN A34005 1514 4 the the DT A34005 1514 5 Versed Versed NNP A34005 1514 6 Sin Sin NNP A34005 1514 7 's 's POS A34005 1514 8 in in IN A34005 1514 9 the the DT A34005 1514 10 Limbe Limbe NNP A34005 1514 11 . . . A34005 1515 1 It -PRON- PRP A34005 1515 2 may may MD A34005 1515 3 be be VB A34005 1515 4 noted note VBN A34005 1515 5 in in IN A34005 1515 6 the the DT A34005 1515 7 former former JJ A34005 1515 8 general general JJ A34005 1515 9 Proportion Proportion NNP A34005 1515 10 , , , A34005 1515 11 I -PRON- PRP A34005 1515 12 have have VBP A34005 1515 13 used use VBN A34005 1515 14 the the DT A34005 1515 15 word word NN A34005 1515 16 Azimuth Azimuth NNP A34005 1515 17 from from IN A34005 1515 18 Noon Noon NNP A34005 1515 19 or or CC A34005 1515 20 Midnight Midnight NNP A34005 1515 21 Meridian Meridian NNP A34005 1515 22 , , , A34005 1515 23 though though IN A34005 1515 24 not not RB A34005 1515 25 so so RB A34005 1515 26 proper proper JJ A34005 1515 27 , , , A34005 1515 28 because because IN A34005 1515 29 they -PRON- PRP A34005 1515 30 are be VBP A34005 1515 31 more more RBR A34005 1515 32 universal universal JJ A34005 1515 33 and and CC A34005 1515 34 common common JJ A34005 1515 35 to to IN A34005 1515 36 both both DT A34005 1515 37 Hemispheres Hemispheres NNP A34005 1515 38 , , , A34005 1515 39 other other JJ A34005 1515 40 expressions expression NNS A34005 1515 41 besides besides IN A34005 1515 42 their -PRON- PRP$ A34005 1515 43 Verbosity verbosity NN A34005 1515 44 would would MD A34005 1515 45 be be VB A34005 1515 46 full full JJ A34005 1515 47 of of IN A34005 1515 48 Caution caution NN A34005 1515 49 for for IN A34005 1515 50 the the DT A34005 1515 51 following follow VBG A34005 1515 52 Proportion proportion NN A34005 1515 53 in in IN A34005 1515 54 our -PRON- PRP$ A34005 1515 55 Northern Northern NNP A34005 1515 56 Hemispere Hemispere NNP A34005 1515 57 , , , A34005 1515 58 without without IN A34005 1515 59 the the DT A34005 1515 60 Tropick Tropick NNP A34005 1515 61 that that WDT A34005 1515 62 finds find VBZ A34005 1515 63 it -PRON- PRP A34005 1515 64 from from IN A34005 1515 65 the the DT A34005 1515 66 South South NNP A34005 1515 67 between between IN A34005 1515 68 the the DT A34005 1515 69 Tropick Tropick NNP A34005 1515 70 of of IN A34005 1515 71 Cancer Cancer NNP A34005 1515 72 and and CC A34005 1515 73 the the DT A34005 1515 74 Equinoctial Equinoctial NNP A34005 1515 75 , , , A34005 1515 76 when when WRB A34005 1515 77 the the DT A34005 1515 78 Sun Sun NNP A34005 1515 79 comes come VBZ A34005 1515 80 to to IN A34005 1515 81 the the DT A34005 1515 82 Meridian Meridian NNP A34005 1515 83 between between IN A34005 1515 84 the the DT A34005 1515 85 Zenith Zenith NNP A34005 1515 86 and and CC A34005 1515 87 the the DT A34005 1515 88 Elevated Elevated NNP A34005 1515 89 Pole Pole NNP A34005 1515 90 would would MD A34005 1515 91 find find VB A34005 1515 92 it -PRON- PRP A34005 1515 93 from from IN A34005 1515 94 the the DT A34005 1515 95 North North NNP A34005 1515 96 , , , A34005 1515 97 wherefore wherefore VBD A34005 1515 98 it -PRON- PRP A34005 1515 99 is be VBZ A34005 1515 100 fit fit JJ A34005 1515 101 to to TO A34005 1515 102 be be VB A34005 1515 103 retained retain VBN A34005 1515 104 . . . A34005 1516 1 A a DT A34005 1516 2 general general JJ A34005 1516 3 Proportion proportion NN A34005 1516 4 for for IN A34005 1516 5 finding find VBG A34005 1516 6 the the DT A34005 1516 7 Hour Hour NNP A34005 1516 8 . . . A34005 1517 1 As as IN A34005 1517 2 the the DT A34005 1517 3 Cosine Cosine NNP A34005 1517 4 of of IN A34005 1517 5 the the DT A34005 1517 6 Declination declination NN A34005 1517 7 , , , A34005 1517 8 To to IN A34005 1517 9 the the DT A34005 1517 10 Secant secant NN A34005 1517 11 of of IN A34005 1517 12 the the DT A34005 1517 13 Latitude Latitude NNP A34005 1517 14 : : : A34005 1517 15 Or or CC A34005 1517 16 , , , A34005 1517 17 As as IN A34005 1517 18 the the DT A34005 1517 19 Cosine Cosine NNP A34005 1517 20 of of IN A34005 1517 21 the the DT A34005 1517 22 Latitude Latitude NNP A34005 1517 23 , , , A34005 1517 24 To to IN A34005 1517 25 the the DT A34005 1517 26 Secant secant NN A34005 1517 27 of of IN A34005 1517 28 the the DT A34005 1517 29 Declination declination NN A34005 1517 30 : : : A34005 1517 31 So so RB A34005 1517 32 is be VBZ A34005 1517 33 the the DT A34005 1517 34 difference difference NN A34005 1517 35 of of IN A34005 1517 36 the the DT A34005 1517 37 Sines Sines NNPS A34005 1517 38 of of IN A34005 1517 39 the the DT A34005 1517 40 Suns Suns NNPS A34005 1517 41 Altitude Altitude NNP A34005 1517 42 proposed propose VBD A34005 1517 43 , , , A34005 1517 44 and and CC A34005 1517 45 of of IN A34005 1517 46 his -PRON- PRP$ A34005 1517 47 Meridian Meridian NNP A34005 1517 48 Altitude Altitude NNP A34005 1517 49 , , , A34005 1517 50 To to IN A34005 1517 51 the the DT A34005 1517 52 Versed Versed NNP A34005 1517 53 Sine Sine NNP A34005 1517 54 of of IN A34005 1517 55 the the DT A34005 1517 56 hour hour NN A34005 1517 57 from from IN A34005 1517 58 Noon Noon NNP A34005 1517 59 ● ● . A34005 1517 60 And and CC A34005 1517 61 So so RB A34005 1517 62 is be VBZ A34005 1517 63 the the DT A34005 1517 64 sum sum NN A34005 1517 65 of of IN A34005 1517 66 the the DT A34005 1517 67 sines sine NNS A34005 1517 68 of of IN A34005 1517 69 the the DT A34005 1517 70 Suns Suns NNPS A34005 1517 71 proposed propose VBN A34005 1517 72 Altitude altitude NN A34005 1517 73 , , , A34005 1517 74 and and CC A34005 1517 75 of of IN A34005 1517 76 his -PRON- PRP$ A34005 1517 77 Midnight Midnight NNP A34005 1517 78 Depression Depression NNP A34005 1517 79 , , , A34005 1517 80 To to IN A34005 1517 81 the the DT A34005 1517 82 Versed versed JJ A34005 1517 83 sine sine NN A34005 1517 84 of of IN A34005 1517 85 the the DT A34005 1517 86 hour hour NN A34005 1517 87 from from IN A34005 1517 88 Midnight Midnight NNP A34005 1517 89 : : : A34005 1517 90 And and CC A34005 1517 91 So so RB A34005 1517 92 is be VBZ A34005 1517 93 the the DT A34005 1517 94 sine sine NN A34005 1517 95 of of IN A34005 1517 96 the the DT A34005 1517 97 Suns Suns NNP A34005 1517 98 Meridian Meridian NNP A34005 1517 99 Altitude Altitude NNP A34005 1517 100 , , , A34005 1517 101 To to IN A34005 1517 102 the the DT A34005 1517 103 Versed versed JJ A34005 1517 104 sine sine NN A34005 1517 105 of of IN A34005 1517 106 the the DT A34005 1517 107 Semidiurnal Semidiurnal NNP A34005 1517 108 Ark Ark NNP A34005 1517 109 : : : A34005 1517 110 And and CC A34005 1517 111 So so RB A34005 1517 112 is be VBZ A34005 1517 113 the the DT A34005 1517 114 sine sine NN A34005 1517 115 of of IN A34005 1517 116 the the DT A34005 1517 117 Suns Suns NNPS A34005 1517 118 Midnight Midnight NNP A34005 1517 119 Depression Depression NNP A34005 1517 120 , , , A34005 1517 121 To to IN A34005 1517 122 the the DT A34005 1517 123 Versed versed JJ A34005 1517 124 sine sine NN A34005 1517 125 of of IN A34005 1517 126 the the DT A34005 1517 127 Seminocturnal Seminocturnal NNP A34005 1517 128 Ark. Arkansas NNP A34005 1518 1 The the DT A34005 1518 2 Operation operation NN A34005 1518 3 will will MD A34005 1518 4 be be VB A34005 1518 5 like like IN A34005 1518 6 the the DT A34005 1518 7 former former JJ A34005 1518 8 , , , A34005 1518 9 I -PRON- PRP A34005 1518 10 shall shall MD A34005 1518 11 therefore therefore RB A34005 1518 12 onely onely RB A34005 1518 13 illustrate illustrate VB A34005 1518 14 it -PRON- PRP A34005 1518 15 by by IN A34005 1518 16 one one CD A34005 1518 17 Example Example NNP A34005 1518 18 , , , A34005 1518 19 the the DT A34005 1518 20 Meridian Meridian NNP A34005 1518 21 Altitude Altitude NNP A34005 1518 22 is be VBZ A34005 1518 23 got get VBN A34005 1518 24 in in IN A34005 1518 25 Winter winter NN A34005 1518 26 by by IN A34005 1518 27 differencing difference VBG A34005 1518 28 , , , A34005 1518 29 in in IN A34005 1518 30 Summer summer NN A34005 1518 31 by by IN A34005 1518 32 adding add VBG A34005 1518 33 the the DT A34005 1518 34 Declination Declination NNP A34005 1518 35 to to IN A34005 1518 36 the the DT A34005 1518 37 Complement Complement NNP A34005 1518 38 of of IN A34005 1518 39 the the DT A34005 1518 40 Latitude Latitude NNP A34005 1518 41 , , , A34005 1518 42 if if IN A34005 1518 43 the the DT A34005 1518 44 sum sum NN A34005 1518 45 exceed exceed VBP A34005 1518 46 90 90 CD A34005 1518 47 d d NN A34005 1518 48 the the DT A34005 1518 49 Complement Complement NNP A34005 1518 50 thereof thereof RB A34005 1518 51 to to IN A34005 1518 52 180 180 CD A34005 1518 53 d d NN A34005 1518 54 is be VBZ A34005 1518 55 the the DT A34005 1518 56 Meridian Meridian NNP A34005 1518 57 Altitude Altitude NNP A34005 1518 58 . . . A34005 1519 1 An an DT A34005 1519 2 Example Example NNP A34005 1519 3 for for IN A34005 1519 4 finding find VBG A34005 1519 5 the the DT A34005 1519 6 Hour Hour NNP A34005 1519 7 from from IN A34005 1519 8 Noon Noon NNP A34005 1519 9 . . . A34005 1520 1 Declination declination NN A34005 1520 2 — — : A34005 1520 3 23d 23d NNS A34005 1520 4 31′ 31′ NNP A34005 1520 5 North North NNP A34005 1520 6 the the DT A34005 1520 7 11th 11th JJ A34005 1520 8 June June NNP A34005 1520 9 . . . A34005 1521 1 Comp Comp NNP A34005 1521 2 . . . A34005 1522 1 Latitude latitude NN A34005 1522 2 — — : A34005 1522 3 38 38 CD A34005 1522 4 28 28 CD A34005 1522 5 London London NNP A34005 1522 6 . . . A34005 1523 1 61 61 CD A34005 1523 2 59 59 CD A34005 1523 3 Meridian Meridian NNP A34005 1523 4 Altitude Altitude NNP A34005 1523 5 . . . A34005 1524 1 Proposed propose VBN A34005 1524 2 Altitude Altitude NNP A34005 1524 3 — — : A34005 1524 4 36 36 CD A34005 1524 5 42 42 CD A34005 1524 6 , , , A34005 1524 7 take take VB A34005 1524 8 the the DT A34005 1524 9 distance distance NN A34005 1524 10 between between IN A34005 1524 11 the the DT A34005 1524 12 sines sine NNS A34005 1524 13 of of IN A34005 1524 14 these these DT A34005 1524 15 two two CD A34005 1524 16 Arks Arks NNPS A34005 1524 17 , , , A34005 1524 18 and and CC A34005 1524 19 enter enter VB A34005 1524 20 it -PRON- PRP A34005 1524 21 once once RB A34005 1524 22 down down IN A34005 1524 23 the the DT A34005 1524 24 Line Line NNP A34005 1524 25 of of IN A34005 1524 26 sines sine NNS A34005 1524 27 from from IN A34005 1524 28 the the DT A34005 1524 29 Center Center NNP A34005 1524 30 , , , A34005 1524 31 and and CC A34005 1524 32 take take VB A34005 1524 33 the the DT A34005 1524 34 distance distance NN A34005 1524 35 to to IN A34005 1524 36 the the DT A34005 1524 37 Thread thread NN A34005 1524 38 laid lay VBN A34005 1524 39 over over IN A34005 1524 40 the the DT A34005 1524 41 Secant secant NN A34005 1524 42 , , , A34005 1524 43 then then RB A34005 1524 44 enter enter VB A34005 1524 45 one one CD A34005 1524 46 foot foot NN A34005 1524 47 of of IN A34005 1524 48 that that DT A34005 1524 49 extent extent NN A34005 1524 50 at at IN A34005 1524 51 the the DT A34005 1524 52 sine sine NN A34005 1524 53 being be VBG A34005 1524 54 the the DT A34005 1524 55 first first JJ A34005 1524 56 Tearm Tearm NNP A34005 1524 57 , , , A34005 1524 58 and and CC A34005 1524 59 to to IN A34005 1524 60 the the DT A34005 1524 61 other other JJ A34005 1524 62 lay lie VBD A34005 1524 63 the the DT A34005 1524 64 Thread Thread NNP A34005 1524 65 , , , A34005 1524 66 and and CC A34005 1524 67 in in IN A34005 1524 68 the the DT A34005 1524 69 Versed versed JJ A34005 1524 70 sines sine NNS A34005 1524 71 in in IN A34005 1524 72 the the DT A34005 1524 73 Limb Limb NNP A34005 1524 74 it -PRON- PRP A34005 1524 75 will will MD A34005 1524 76 lye lye VB A34005 1524 77 over over IN A34005 1524 78 the the DT A34005 1524 79 Versed Versed NNP A34005 1524 80 Sine Sine NNP A34005 1524 81 of of IN A34005 1524 82 the the DT A34005 1524 83 hour hour NN A34005 1524 84 from from IN A34005 1524 85 Noon Noon NNP A34005 1524 86 . . . A34005 1525 1 In in IN A34005 1525 2 this this DT A34005 1525 3 Example Example NNP A34005 1525 4 , , , A34005 1525 5 if if IN A34005 1525 6 the the DT A34005 1525 7 Thread thread NN A34005 1525 8 be be VB A34005 1525 9 laid lay VBN A34005 1525 10 over over IN A34005 1525 11 the the DT A34005 1525 12 Secant Secant NNP A34005 1525 13 of of IN A34005 1525 14 51d 51d NNS A34005 1525 15 32′ 32′ CD A34005 1525 16 the the DT A34005 1525 17 extent extent NN A34005 1525 18 must must MD A34005 1525 19 be be VB A34005 1525 20 entred entre VBN A34005 1525 21 at at IN A34005 1525 22 the the DT A34005 1525 23 sine sine NN A34005 1525 24 of of IN A34005 1525 25 66d 66d CD A34005 1525 26 29′ 29′ CD A34005 1525 27 23 23 CD A34005 1525 28 31 31 CD A34005 1525 29 the the DT A34005 1525 30 extent extent NN A34005 1525 31 must must MD A34005 1525 32 be be VB A34005 1525 33 entred entre VBN A34005 1525 34 at at IN A34005 1525 35 the the DT A34005 1525 36 sine sine NN A34005 1525 37 of of IN A34005 1525 38 38 38 CD A34005 1525 39 28 28 CD A34005 1525 40 either either CC A34005 1525 41 way way NN A34005 1525 42 the the DT A34005 1525 43 answer answer NN A34005 1525 44 will will MD A34005 1525 45 fall fall VB A34005 1525 46 upon upon IN A34005 1525 47 60 60 CD A34005 1525 48 d d NN A34005 1525 49 of of IN A34005 1525 50 the the DT A34005 1525 51 Versed Versed NNP A34005 1525 52 sine sine NN A34005 1525 53 shewing shew VBG A34005 1525 54 the the DT A34005 1525 55 Hour Hour NNP A34005 1525 56 to to TO A34005 1525 57 be be VB A34005 1525 58 either either CC A34005 1525 59 8 8 CD A34005 1525 60 in in IN A34005 1525 61 the the DT A34005 1525 62 forenoon forenoon NN A34005 1525 63 , , , A34005 1525 64 or or CC A34005 1525 65 4 4 CD A34005 1525 66 in in IN A34005 1525 67 the the DT A34005 1525 68 afternoon afternoon NN A34005 1525 69 . . . A34005 1526 1 If if IN A34005 1526 2 the the DT A34005 1526 3 hour hour NN A34005 1526 4 fall fall VBP A34005 1526 5 near near IN A34005 1526 6 noon noon NN A34005 1526 7 , , , A34005 1526 8 then then RB A34005 1526 9 the the DT A34005 1526 10 extent extent NN A34005 1526 11 of of IN A34005 1526 12 the the DT A34005 1526 13 Compasses compass NNS A34005 1526 14 may may MD A34005 1526 15 be be VB A34005 1526 16 Quadrupled quadruple VBN A34005 1526 17 and and CC A34005 1526 18 entred entre VBN A34005 1526 19 as as IN A34005 1526 20 before before RB A34005 1526 21 , , , A34005 1526 22 and and CC A34005 1526 23 look look VB A34005 1526 24 for for IN A34005 1526 25 the the DT A34005 1526 26 answer answer NN A34005 1526 27 in in IN A34005 1526 28 the the DT A34005 1526 29 Versed versed JJ A34005 1526 30 Sines Sines NNPS A34005 1526 31 Quadrupled Quadrupled NNP A34005 1526 32 : : : A34005 1526 33 Or or CC A34005 1526 34 before before IN A34005 1526 35 the the DT A34005 1526 36 distance distance NN A34005 1526 37 be be VB A34005 1526 38 took take VBN A34005 1526 39 to to IN A34005 1526 40 the the DT A34005 1526 41 Thread thread NN A34005 1526 42 the the DT A34005 1526 43 extent extent NN A34005 1526 44 of of IN A34005 1526 45 difference difference NN A34005 1526 46 may may MD A34005 1526 47 be be VB A34005 1526 48 entred entre VBN A34005 1526 49 four four CD A34005 1526 50 times time NNS A34005 1526 51 down down RB A34005 1526 52 from from IN A34005 1526 53 the the DT A34005 1526 54 Center Center NNP A34005 1526 55 . . . A34005 1527 1 The the DT A34005 1527 2 Converse converse NN A34005 1527 3 of of IN A34005 1527 4 this this DT A34005 1527 5 Proposition Proposition NNP A34005 1527 6 will will MD A34005 1527 7 be be VB A34005 1527 8 to to TO A34005 1527 9 find find VB A34005 1527 10 the the DT A34005 1527 11 Suns Suns NNPS A34005 1527 12 Altitude Altitude NNP A34005 1527 13 on on IN A34005 1527 14 all all DT A34005 1527 15 Hours hour NNS A34005 1527 16 universally universally RB A34005 1527 17 . . . A34005 1528 1 As as IN A34005 1528 2 the the DT A34005 1528 3 Secant secant NN A34005 1528 4 of of IN A34005 1528 5 the the DT A34005 1528 6 Latitude Latitude NNP A34005 1528 7 , , , A34005 1528 8 To to IN A34005 1528 9 Cosine Cosine NNP A34005 1528 10 Declination Declination NNP A34005 1528 11 , , , A34005 1528 12 Or or CC A34005 1528 13 , , , A34005 1528 14 As as IN A34005 1528 15 the the DT A34005 1528 16 Secant secant NN A34005 1528 17 of of IN A34005 1528 18 the the DT A34005 1528 19 Declination declination NN A34005 1528 20 , , , A34005 1528 21 To to IN A34005 1528 22 Cosine Cosine NNP A34005 1528 23 Latitude Latitude NNP A34005 1528 24 : : : A34005 1528 25 So so CC A34005 1528 26 the the DT A34005 1528 27 Versed versed JJ A34005 1528 28 sine sine NN A34005 1528 29 of of IN A34005 1528 30 the the DT A34005 1528 31 hour hour NN A34005 1528 32 from from IN A34005 1528 33 Noon Noon NNP A34005 1528 34 , , , A34005 1528 35 To to IN A34005 1528 36 the the DT A34005 1528 37 difference difference NN A34005 1528 38 of of IN A34005 1528 39 the the DT A34005 1528 40 sines sine NNS A34005 1528 41 of of IN A34005 1528 42 the the DT A34005 1528 43 Suns Suns NNP A34005 1528 44 Meridian Meridian NNP A34005 1528 45 Altitude Altitude NNP A34005 1528 46 , , , A34005 1528 47 and and CC A34005 1528 48 of of IN A34005 1528 49 his -PRON- PRP$ A34005 1528 50 Altitude altitude NN A34005 1528 51 sought seek VBD A34005 1528 52 , , , A34005 1528 53 to to TO A34005 1528 54 be be VB A34005 1528 55 substracted substracte VBN A34005 1528 56 from from IN A34005 1528 57 the the DT A34005 1528 58 sine sine NN A34005 1528 59 of of IN A34005 1528 60 the the DT A34005 1528 61 Meridian Meridian NNP A34005 1528 62 Altitude Altitude NNP A34005 1528 63 , , , A34005 1528 64 and and CC A34005 1528 65 there there EX A34005 1528 66 will will MD A34005 1528 67 remain remain VB A34005 1528 68 the the DT A34005 1528 69 sine sine NN A34005 1528 70 of of IN A34005 1528 71 the the DT A34005 1528 72 Altitude Altitude NNP A34005 1528 73 sought seek VBD A34005 1528 74 . . . A34005 1529 1 So so CC A34005 1529 2 in in IN A34005 1529 3 Latitude Latitude NNP A34005 1529 4 of of IN A34005 1529 5 London London NNP A34005 1529 6 , , , A34005 1529 7 if if IN A34005 1529 8 the the DT A34005 1529 9 Suns Suns NNPS A34005 1529 10 Declination Declination NNP A34005 1529 11 were be VBD A34005 1529 12 13 13 CD A34005 1529 13 d d NN A34005 1529 14 00′ 00′ CD A34005 1529 15 , , , A34005 1529 16 and and CC A34005 1529 17 the the DT A34005 1529 18 hour hour NN A34005 1529 19 from from IN A34005 1529 20 noon noon NN A34005 1529 21 75 75 CD A34005 1529 22 d d NNS A34005 1529 23 , , , A34005 1529 24 that that WDT A34005 1529 25 is be VBZ A34005 1529 26 either either CC A34005 1529 27 7 7 CD A34005 1529 28 in in IN A34005 1529 29 the the DT A34005 1529 30 morning morning NN A34005 1529 31 , , , A34005 1529 32 or or CC A34005 1529 33 5 5 CD A34005 1529 34 in in IN A34005 1529 35 the the DT A34005 1529 36 afternoon afternoon NN A34005 1529 37 . . . A34005 1530 1 Lay lay VB A34005 1530 2 the the DT A34005 1530 3 Thread thread NN A34005 1530 4 over over IN A34005 1530 5 the the DT A34005 1530 6 Versed versed JJ A34005 1530 7 sine sine NN A34005 1530 8 of of IN A34005 1530 9 the the DT A34005 1530 10 hour hour NN A34005 1530 11 from from IN A34005 1530 12 noon noon NN A34005 1530 13 , , , A34005 1530 14 namely namely RB A34005 1530 15 , , , A34005 1530 16 75 75 CD A34005 1530 17 d d NN A34005 1530 18 , , , A34005 1530 19 and and CC A34005 1530 20 from from IN A34005 1530 21 the the DT A34005 1530 22 sine sine NN A34005 1530 23 of of IN A34005 1530 24 77 77 CD A34005 1530 25 d d NN A34005 1530 26 the the DT A34005 1530 27 Complement Complement NNP A34005 1530 28 of of IN A34005 1530 29 the the DT A34005 1530 30 Declination Declination NNP A34005 1530 31 , , , A34005 1530 32 take take VB A34005 1530 33 the the DT A34005 1530 34 nearest near JJS A34005 1530 35 distance distance NN A34005 1530 36 to to IN A34005 1530 37 it -PRON- PRP A34005 1530 38 , , , A34005 1530 39 then then RB A34005 1530 40 lay lay VB A34005 1530 41 the the DT A34005 1530 42 Thread thread NN A34005 1530 43 to to IN A34005 1530 44 the the DT A34005 1530 45 Secant secant NN A34005 1530 46 of of IN A34005 1530 47 the the DT A34005 1530 48 Latitude Latitude NNP A34005 1530 49 , , , A34005 1530 50 and and CC A34005 1530 51 enter enter VB A34005 1530 52 the the DT A34005 1530 53 former former JJ A34005 1530 54 extent extent NN A34005 1530 55 between between IN A34005 1530 56 the the DT A34005 1530 57 Scale Scale NNP A34005 1530 58 and and CC A34005 1530 59 the the DT A34005 1530 60 Thread thread NN A34005 1530 61 , , , A34005 1530 62 and and CC A34005 1530 63 you -PRON- PRP A34005 1530 64 will will MD A34005 1530 65 find find VB A34005 1530 66 a a DT A34005 1530 67 sine sine NN A34005 1530 68 equal equal JJ A34005 1530 69 to to IN A34005 1530 70 the the DT A34005 1530 71 difference difference NN A34005 1530 72 sought seek VBN A34005 1530 73 , , , A34005 1530 74 which which WDT A34005 1530 75 sine sine RB A34005 1530 76 take take VBP A34005 1530 77 between between IN A34005 1530 78 the the DT A34005 1530 79 Compasses Compasses NNPS A34005 1530 80 and and CC A34005 1530 81 setting set VBG A34005 1530 82 down down RP A34005 1530 83 one one CD A34005 1530 84 foot foot NN A34005 1530 85 at at IN A34005 1530 86 the the DT A34005 1530 87 sine sine NN A34005 1530 88 of of IN A34005 1530 89 51 51 CD A34005 1530 90 d d CD A34005 1530 91 28′ 28′ CD A34005 1530 92 the the DT A34005 1530 93 Meridian Meridian NNP A34005 1530 94 Altitude Altitude NNP A34005 1530 95 , , , A34005 1530 96 the the DT A34005 1530 97 other other JJ A34005 1530 98 foot foot NN A34005 1530 99 turned turn VBD A34005 1530 100 towards towards IN A34005 1530 101 the the DT A34005 1530 102 Center Center NNP A34005 1530 103 will will MD A34005 1530 104 fall fall VB A34005 1530 105 upon upon IN A34005 1530 106 the the DT A34005 1530 107 sine sine NN A34005 1530 108 of of IN A34005 1530 109 19 19 CD A34005 1530 110 d d CD A34005 1530 111 27′ 27′ CD A34005 1530 112 the the DT A34005 1530 113 Altiude Altiude NNP A34005 1530 114 sought seek VBD A34005 1530 115 . . . A34005 1531 1 A a DT A34005 1531 2 General general JJ A34005 1531 3 Proportion Proportion NNP A34005 1531 4 for for IN A34005 1531 5 the the DT A34005 1531 6 Azimuth Azimuth NNP A34005 1531 7 . . . A34005 1532 1 Get get VB A34005 1532 2 the the DT A34005 1532 3 Remainder Remainder NNP A34005 1532 4 or or CC A34005 1532 5 Difference difference NN A34005 1532 6 between between IN A34005 1532 7 these these DT A34005 1532 8 two two CD A34005 1532 9 Arks Arks NNPS A34005 1532 10 , , , A34005 1532 11 the the DT A34005 1532 12 Suns Suns NNPS A34005 1532 13 Altitude Altitude NNP A34005 1532 14 and and CC A34005 1532 15 the the DT A34005 1532 16 Complement Complement NNP A34005 1532 17 of of IN A34005 1532 18 the the DT A34005 1532 19 Latitude Latitude NNP A34005 1532 20 by by IN A34005 1532 21 Substracting substracte VBG A34005 1532 22 the the DT A34005 1532 23 less less JJR A34005 1532 24 from from IN A34005 1532 25 the the DT A34005 1532 26 greater great JJR A34005 1532 27 , , , A34005 1532 28 and and CC A34005 1532 29 then then RB A34005 1532 30 the the DT A34005 1532 31 Proportion Proportion NNP A34005 1532 32 will will MD A34005 1532 33 hold hold VB A34005 1532 34 , , , A34005 1532 35 As as IN A34005 1532 36 the the DT A34005 1532 37 Cosine Cosine NNP A34005 1532 38 of of IN A34005 1532 39 the the DT A34005 1532 40 Latitude Latitude NNP A34005 1532 41 , , , A34005 1532 42 Is be VBZ A34005 1532 43 to to IN A34005 1532 44 the the DT A34005 1532 45 Secant secant NN A34005 1532 46 of of IN A34005 1532 47 the the DT A34005 1532 48 Altitude altitude NN A34005 1532 49 , , , A34005 1532 50 Or or CC A34005 1532 51 , , , A34005 1532 52 As as IN A34005 1532 53 the the DT A34005 1532 54 Cosine Cosine NNP A34005 1532 55 of of IN A34005 1532 56 the the DT A34005 1532 57 Altitude altitude NN A34005 1532 58 , , , A34005 1532 59 To to IN A34005 1532 60 the the DT A34005 1532 61 Secant secant NN A34005 1532 62 of of IN A34005 1532 63 the the DT A34005 1532 64 Latitude Latitude NNP A34005 1532 65 : : : A34005 1532 66 So so RB A34005 1532 67 is be VBZ A34005 1532 68 the the DT A34005 1532 69 sum sum NN A34005 1532 70 of of IN A34005 1532 71 the the DT A34005 1532 72 sines sine NNS A34005 1532 73 of of IN A34005 1532 74 the the DT A34005 1532 75 Suns Suns NNPS A34005 1532 76 Declination Declination NNP A34005 1532 77 ▪ ▪ NN A34005 1532 78 and and CC A34005 1532 79 of of IN A34005 1532 80 the the DT A34005 1532 81 aforesaid aforesaid JJ A34005 1532 82 Remainder Remainder NNP A34005 1532 83 , , , A34005 1532 84 To to IN A34005 1532 85 the the DT A34005 1532 86 Versed Versed NNP A34005 1532 87 Sine Sine NNP A34005 1532 88 of of IN A34005 1532 89 the the DT A34005 1532 90 Azimuth Azimuth NNP A34005 1532 91 from from IN A34005 1532 92 the the DT A34005 1532 93 Noon Noon NNP A34005 1532 94 Meridian Meridian NNP A34005 1532 95 in in IN A34005 1532 96 Summer Summer NNP A34005 1532 97 only only RB A34005 1532 98 when when WRB A34005 1532 99 the the DT A34005 1532 100 Suns Suns NNPS A34005 1532 101 Altitude Altitude NNP A34005 1532 102 is be VBZ A34005 1532 103 less less JJR A34005 1532 104 then then RB A34005 1532 105 the the DT A34005 1532 106 Complement Complement NNP A34005 1532 107 of of IN A34005 1532 108 the the DT A34005 1532 109 Latitude Latitude NNP A34005 1532 110 . . . A34005 1533 1 In in IN A34005 1533 2 all all DT A34005 1533 3 other other JJ A34005 1533 4 Cases case NNS A34005 1533 5 , , , A34005 1533 6 So so RB A34005 1533 7 is be VBZ A34005 1533 8 the the DT A34005 1533 9 difference difference NN A34005 1533 10 of of IN A34005 1533 11 the the DT A34005 1533 12 said say VBN A34005 1533 13 sines sine NNS A34005 1533 14 , , , A34005 1533 15 To to IN A34005 1533 16 the the DT A34005 1533 17 Versed versed JJ A34005 1533 18 sine sine NN A34005 1533 19 of of IN A34005 1533 20 the the DT A34005 1533 21 Azimuth Azimuth NNP A34005 1533 22 , , , A34005 1533 23 as as IN A34005 1533 24 before before RB A34005 1533 25 from from IN A34005 1533 26 Noon Noon NNP A34005 1533 27 Meridian Meridian NNP A34005 1533 28 . . . A34005 1534 1 Example example NN A34005 1534 2 . . . A34005 1535 1 The the DT A34005 1535 2 11th 11th NN A34005 1535 3 of of IN A34005 1535 4 June June NNP A34005 1535 5 aforesaid aforesaid VBD A34005 1535 6 , , , A34005 1535 7 the the DT A34005 1535 8 ☉ ☉ NNP A34005 1535 9 having have VBG A34005 1535 10 23 23 CD A34005 1535 11 d d CD A34005 1535 12 31′ 31′ CD A34005 1535 13 of of IN A34005 1535 14 North North NNP A34005 1535 15 declination declination NN A34005 1535 16 , , , A34005 1535 17 his -PRON- PRP$ A34005 1535 18 Altitude altitude NN A34005 1535 19 was be VBD A34005 1535 20 observed observe VBN A34005 1535 21 to to TO A34005 1535 22 be be VB A34005 1535 23 18 18 CD A34005 1535 24 d d CD A34005 1535 25 20′ 20′ CD A34005 1535 26 , , , A34005 1535 27 which which WDT A34005 1535 28 substracted substracte VBD A34005 1535 29 from from IN A34005 1535 30 38 38 CD A34005 1535 31 d d CD A34005 1535 32 28′ 28′ CD A34005 1535 33 the the DT A34005 1535 34 remainder remainder NN A34005 1535 35 is be VBZ A34005 1535 36 20 20 CD A34005 1535 37 d d NN A34005 1535 38 8′ 8′ CD A34005 1535 39 , , , A34005 1535 40 take take VB A34005 1535 41 out out RP A34005 1535 42 the the DT A34005 1535 43 sine sine NN A34005 1535 44 thereof thereof RB A34005 1535 45 , , , A34005 1535 46 and and CC A34005 1535 47 set set VB A34005 1535 48 down down RP A34005 1535 49 one one CD A34005 1535 50 foot foot NN A34005 1535 51 at at IN A34005 1535 52 the the DT A34005 1535 53 sine sine NN A34005 1535 54 of of IN A34005 1535 55 23 23 CD A34005 1535 56 d d CD A34005 1535 57 31′ 31′ CD A34005 1535 58 , , , A34005 1535 59 and and CC A34005 1535 60 set set VBD A34005 1535 61 the the DT A34005 1535 62 other other JJ A34005 1535 63 forwards forward NNS A34005 1535 64 towards towards IN A34005 1535 65 90 90 CD A34005 1535 66 d d NNS A34005 1535 67 , , , A34005 1535 68 then then RB A34005 1535 69 take take VB A34005 1535 70 the the DT A34005 1535 71 nearest near JJS A34005 1535 72 to to IN A34005 1535 73 the the DT A34005 1535 74 Thread thread NN A34005 1535 75 laid lay VBN A34005 1535 76 over over IN A34005 1535 77 the the DT A34005 1535 78 Secant Secant NNP A34005 1535 79 of of IN A34005 1535 80 the the DT A34005 1535 81 Latitude Latitude NNP A34005 1535 82 51 51 CD A34005 1535 83 d d NNP A34005 1535 84 32′ 32′ CD A34005 1535 85 , , , A34005 1535 86 enter enter VBP A34005 1535 87 one one CD A34005 1535 88 foot foot NN A34005 1535 89 of of IN A34005 1535 90 this this DT A34005 1535 91 Extent extent NN A34005 1535 92 at at IN A34005 1535 93 the the DT A34005 1535 94 Complement Complement NNP A34005 1535 95 of of IN A34005 1535 96 the the DT A34005 1535 97 Altitude altitude NN A34005 1535 98 by by IN A34005 1535 99 reckoning reckon VBG A34005 1535 100 the the DT A34005 1535 101 Altitude altitude NN A34005 1535 102 it -PRON- PRP A34005 1535 103 self self VBP A34005 1535 104 from from IN A34005 1535 105 90 90 CD A34005 1535 106 d d NN A34005 1535 107 towards towards IN A34005 1535 108 the the DT A34005 1535 109 Center Center NNP A34005 1535 110 , , , A34005 1535 111 and and CC A34005 1535 112 the the DT A34005 1535 113 Thread thread NN A34005 1535 114 laid lay VBD A34005 1535 115 to to IN A34005 1535 116 the the DT A34005 1535 117 other other JJ A34005 1535 118 foot foot NN A34005 1535 119 cuts cut VBZ A34005 1535 120 the the DT A34005 1535 121 Line Line NNP A34005 1535 122 of of IN A34005 1535 123 Versed versed JJ A34005 1535 124 sines sine NNS A34005 1535 125 at at IN A34005 1535 126 105 105 CD A34005 1535 127 d d NN A34005 1535 128 the the DT A34005 1535 129 Azimuth Azimuth NNP A34005 1535 130 from from IN A34005 1535 131 the the DT A34005 1535 132 South South NNP A34005 1535 133 . . . A34005 1536 1 The the DT A34005 1536 2 same same JJ A34005 1536 3 day day NN A34005 1536 4 when when WRB A34005 1536 5 the the DT A34005 1536 6 Altitude altitude NN A34005 1536 7 was be VBD A34005 1536 8 more more JJR A34005 1536 9 then then RB A34005 1536 10 the the DT A34005 1536 11 Colatitude Colatitude NNP A34005 1536 12 , , , A34005 1536 13 suppose suppose VB A34005 1536 14 60 60 CD A34005 1536 15 d d NN A34005 1536 16 11′ 11′ CD A34005 1536 17 the the DT A34005 1536 18 Remainder Remainder NNP A34005 1536 19 will will MD A34005 1536 20 be be VB A34005 1536 21 found find VBN A34005 1536 22 to to TO A34005 1536 23 be be VB A34005 1536 24 21 21 CD A34005 1536 25 d d CD A34005 1536 26 43′ 43′ CD A34005 1536 27 , , , A34005 1536 28 take take VB A34005 1536 29 the the DT A34005 1536 30 distance distance NN A34005 1536 31 between between IN A34005 1536 32 the the DT A34005 1536 33 sine sine NN A34005 1536 34 thereof thereof IN A34005 1536 35 and and CC A34005 1536 36 of of IN A34005 1536 37 23 23 CD A34005 1536 38 d d NN A34005 1536 39 31′ 31′ CD A34005 1536 40 , , , A34005 1536 41 and and CC A34005 1536 42 because because IN A34005 1536 43 the the DT A34005 1536 44 Extent extent NN A34005 1536 45 is be VBZ A34005 1536 46 but but CC A34005 1536 47 small small JJ A34005 1536 48 enter enter VB A34005 1536 49 it -PRON- PRP A34005 1536 50 four four CD A34005 1536 51 times time NNS A34005 1536 52 down down IN A34005 1536 53 the the DT A34005 1536 54 Line Line NNP A34005 1536 55 of of IN A34005 1536 56 sines sine NNS A34005 1536 57 from from IN A34005 1536 58 the the DT A34005 1536 59 Center Center NNP A34005 1536 60 , , , A34005 1536 61 and and CC A34005 1536 62 take take VB A34005 1536 63 the the DT A34005 1536 64 nearest near JJS A34005 1536 65 distance distance NN A34005 1536 66 to to IN A34005 1536 67 the the DT A34005 1536 68 Thread thread NN A34005 1536 69 laid lay VBN A34005 1536 70 over over IN A34005 1536 71 the the DT A34005 1536 72 Secant Secant NNP A34005 1536 73 of of IN A34005 1536 74 the the DT A34005 1536 75 Latitude Latitude NNP A34005 1536 76 , , , A34005 1536 77 which which WDT A34005 1536 78 entred entre VBD A34005 1536 79 at at IN A34005 1536 80 the the DT A34005 1536 81 Cosine Cosine NNP A34005 1536 82 of of IN A34005 1536 83 the the DT A34005 1536 84 Altitude Altitude NNP A34005 1536 85 , , , A34005 1536 86 the the DT A34005 1536 87 Thread thread NN A34005 1536 88 laid lay VBD A34005 1536 89 to to IN A34005 1536 90 the the DT A34005 1536 91 other other JJ A34005 1536 92 foot foot NN A34005 1536 93 shews shew VBZ A34005 1536 94 25 25 CD A34005 1536 95 d d NN A34005 1536 96 in in IN A34005 1536 97 the the DT A34005 1536 98 Quadrupled Quadrupled NNP A34005 1536 99 Versed Versed NNP A34005 1536 100 Sines Sines NNP A34005 1536 101 for for IN A34005 1536 102 the the DT A34005 1536 103 Azimuth Azimuth NNP A34005 1536 104 from from IN A34005 1536 105 the the DT A34005 1536 106 South South NNP A34005 1536 107 . . . A34005 1537 1 The the DT A34005 1537 2 Proportion Proportion NNP A34005 1537 3 hence hence RB A34005 1537 4 derived derive VBD A34005 1537 5 for for IN A34005 1537 6 the the DT A34005 1537 7 Amplitude Amplitude NNP A34005 1537 8 . . . A34005 1538 1 As as IN A34005 1538 2 the the DT A34005 1538 3 Cosine Cosine NNP A34005 1538 4 of of IN A34005 1538 5 the the DT A34005 1538 6 Latitude Latitude NNP A34005 1538 7 , , , A34005 1538 8 To to IN A34005 1538 9 Secant Secant NNP A34005 1538 10 of of IN A34005 1538 11 the the DT A34005 1538 12 Declination Declination NNP A34005 1538 13 , , , A34005 1538 14 & & CC A34005 1538 15 c. c. NNP A34005 1538 16 as as IN A34005 1538 17 before before RB A34005 1538 18 . . . A34005 1539 1 So so CC A34005 1539 2 in in IN A34005 1539 3 Summer summer NN A34005 1539 4 is be VBZ A34005 1539 5 the the DT A34005 1539 6 sum sum NN A34005 1539 7 in in IN A34005 1539 8 Winter Winter NNP A34005 1539 9 , , , A34005 1539 10 the the DT A34005 1539 11 difference difference NN A34005 1539 12 of of IN A34005 1539 13 the the DT A34005 1539 14 sines sine NNS A34005 1539 15 of of IN A34005 1539 16 the the DT A34005 1539 17 Suns Suns NNPS A34005 1539 18 Declination Declination NNP A34005 1539 19 , , , A34005 1539 20 and and CC A34005 1539 21 of of IN A34005 1539 22 the the DT A34005 1539 23 Complement Complement NNP A34005 1539 24 of of IN A34005 1539 25 the the DT A34005 1539 26 Latitude Latitude NNP A34005 1539 27 , , , A34005 1539 28 To to IN A34005 1539 29 the the DT A34005 1539 30 Versed Versed NNP A34005 1539 31 Sine Sine NNP A34005 1539 32 of of IN A34005 1539 33 the the DT A34005 1539 34 Amplitude Amplitude NNP A34005 1539 35 from from IN A34005 1539 36 Noon Noon NNP A34005 1539 37 Meridian Meridian NNP A34005 1539 38 . . . A34005 1540 1 The the DT A34005 1540 2 Proportion proportion NN A34005 1540 3 for for IN A34005 1540 4 the the DT A34005 1540 5 Azimuth Azimuth NNP A34005 1540 6 will will MD A34005 1540 7 be be VB A34005 1540 8 better well JJR A34005 1540 9 exprest expr JJS A34005 1540 10 by by IN A34005 1540 11 making make VBG A34005 1540 12 the the DT A34005 1540 13 difference difference NN A34005 1540 14 to to TO A34005 1540 15 be be VB A34005 1540 16 a a DT A34005 1540 17 difference difference NN A34005 1540 18 of of IN A34005 1540 19 Versed versed JJ A34005 1540 20 sines sine NNS A34005 1540 21 . . . A34005 1541 1 How how WRB A34005 1541 2 the the DT A34005 1541 3 Versed versed JJ A34005 1541 4 sines sine NNS A34005 1541 5 in in IN A34005 1541 6 the the DT A34005 1541 7 Limbe Limbe NNP A34005 1541 8 may may MD A34005 1541 9 be be VB A34005 1541 10 spared spare VBN A34005 1541 11 in in IN A34005 1541 12 Case Case NNP A34005 1541 13 a a DT A34005 1541 14 Quadrant Quadrant NNP A34005 1541 15 want want VBP A34005 1541 16 them -PRON- PRP A34005 1541 17 . . . A34005 1542 1 If if IN A34005 1542 2 a a DT A34005 1542 3 Quadrant Quadrant NNP A34005 1542 4 can can MD A34005 1542 5 only only RB A34005 1542 6 admit admit VB A34005 1542 7 of of IN A34005 1542 8 a a DT A34005 1542 9 Line Line NNP A34005 1542 10 of of IN A34005 1542 11 sines sine NNS A34005 1542 12 from from IN A34005 1542 13 the the DT A34005 1542 14 Center Center NNP A34005 1542 15 , , , A34005 1542 16 the the DT A34005 1542 17 common common JJ A34005 1542 18 Quadrant Quadrant NNP A34005 1542 19 of of IN A34005 1542 20 Mr Mr NNP A34005 1542 21 Gunters Gunters NNP A34005 1542 22 very very RB A34005 1542 23 well well RB A34005 1542 24 may may MD A34005 1542 25 , , , A34005 1542 26 on on IN A34005 1542 27 the the DT A34005 1542 28 right right JJ A34005 1542 29 edge edge NN A34005 1542 30 above above IN A34005 1542 31 the the DT A34005 1542 32 Margent Margent NNP A34005 1542 33 for for IN A34005 1542 34 the the DT A34005 1542 35 Numbers number NNS A34005 1542 36 of of IN A34005 1542 37 the the DT A34005 1542 38 Azimuths Azimuths NNPS A34005 1542 39 , , , A34005 1542 40 it -PRON- PRP A34005 1542 41 may may MD A34005 1542 42 be be VB A34005 1542 43 easily easily RB A34005 1542 44 fitted fit VBN A34005 1542 45 for for IN A34005 1542 46 any any DT A34005 1542 47 or or CC A34005 1542 48 many many JJ A34005 1542 49 Latitudes latitude NNS A34005 1542 50 by by IN A34005 1542 51 setting set VBG A34005 1542 52 Marks mark NNS A34005 1542 53 or or CC A34005 1542 54 Pricks Pricks NNPS A34005 1542 55 to to IN A34005 1542 56 the the DT A34005 1542 57 Tangent Tangent NNP A34005 1542 58 and and CC A34005 1542 59 Secant Secant NNP A34005 1542 60 of of IN A34005 1542 61 the the DT A34005 1542 62 Latitudes Latitudes NNPS A34005 1542 63 in in IN A34005 1542 64 the the DT A34005 1542 65 Limbe Limbe NNP A34005 1542 66 , , , A34005 1542 67 which which WDT A34005 1542 68 may may MD A34005 1542 69 be be VB A34005 1542 70 taken take VBN A34005 1542 71 out out RP A34005 1542 72 by by IN A34005 1542 73 help help NN A34005 1542 74 of of IN A34005 1542 75 the the DT A34005 1542 76 Limb Limb NNP A34005 1542 77 , , , A34005 1542 78 Line Line NNP A34005 1542 79 of of IN A34005 1542 80 Sines Sines NNPS A34005 1542 81 , , , A34005 1542 82 or or CC A34005 1542 83 by by IN A34005 1542 84 Protraction protraction NN A34005 1542 85 , , , A34005 1542 86 and and CC A34005 1542 87 either either DT A34005 1542 88 of of IN A34005 1542 89 these these DT A34005 1542 90 general general JJ A34005 1542 91 Proportions Proportions NNPS A34005 1542 92 wrought work VBD A34005 1542 93 upon upon IN A34005 1542 94 it -PRON- PRP A34005 1542 95 , , , A34005 1542 96 or or CC A34005 1542 97 those those DT A34005 1542 98 which which WDT A34005 1542 99 follow follow VBP A34005 1542 100 , , , A34005 1542 101 if if IN A34005 1542 102 it -PRON- PRP A34005 1542 103 be be VB A34005 1542 104 observed observe VBN A34005 1542 105 that that IN A34005 1542 106 whensoever whensoever WRB A34005 1542 107 the the DT A34005 1542 108 Thread thread NN A34005 1542 109 lyes lye NNS A34005 1542 110 over over IN A34005 1542 111 the the DT A34005 1542 112 Versed versed JJ A34005 1542 113 sine sine NN A34005 1542 114 of of IN A34005 1542 115 any any DT A34005 1542 116 Ark Ark NNP A34005 1542 117 in in IN A34005 1542 118 the the DT A34005 1542 119 Limbe Limbe NNP A34005 1542 120 , , , A34005 1542 121 it -PRON- PRP A34005 1542 122 also also RB A34005 1542 123 at at IN A34005 1542 124 the the DT A34005 1542 125 same same JJ A34005 1542 126 Time Time NNP A34005 1542 127 lyeth lyeth NN A34005 1542 128 over over IN A34005 1542 129 a a DT A34005 1542 130 Sine Sine NNP A34005 1542 131 equal equal JJ A34005 1542 132 to to IN A34005 1542 133 half half PDT A34005 1542 134 that that DT A34005 1542 135 Versed Versed NNP A34005 1542 136 sine sine NN A34005 1542 137 to to IN A34005 1542 138 the the DT A34005 1542 139 common common JJ A34005 1542 140 Radius radius NN A34005 1542 141 : : : A34005 1542 142 Now now RB A34005 1542 143 because because IN A34005 1542 144 the the DT A34005 1542 145 sine sine NN A34005 1542 146 of of IN A34005 1542 147 30d 30d CD A34005 1542 148 doubled double VBD A34005 1542 149 is be VBZ A34005 1542 150 equal equal JJ A34005 1542 151 to to IN A34005 1542 152 the the DT A34005 1542 153 Radius radius NN A34005 1542 154 , , , A34005 1542 155 let let VB A34005 1542 156 it -PRON- PRP A34005 1542 157 be be VB A34005 1542 158 observed observe VBN A34005 1542 159 whether whether IN A34005 1542 160 the the DT A34005 1542 161 sine sine NN A34005 1542 162 cut cut VBN A34005 1542 163 by by IN A34005 1542 164 the the DT A34005 1542 165 Thread thread NN A34005 1542 166 be be VB A34005 1542 167 greater great JJR A34005 1542 168 or or CC A34005 1542 169 less less JJR A34005 1542 170 then then RB A34005 1542 171 30 30 CD A34005 1542 172 deg deg NN A34005 1542 173 . . . A34005 1543 1 When when WRB A34005 1543 2 it -PRON- PRP A34005 1543 3 is be VBZ A34005 1543 4 less less JJR A34005 1543 5 let let VB A34005 1543 6 the the DT A34005 1543 7 Line Line NNP A34005 1543 8 of of IN A34005 1543 9 Sines sine NNS A34005 1543 10 represent represent VBP A34005 1543 11 the the DT A34005 1543 12 former former JJ A34005 1543 13 half half NN A34005 1543 14 of of IN A34005 1543 15 a a DT A34005 1543 16 Line Line NNP A34005 1543 17 of of IN A34005 1543 18 Versed Versed NNP A34005 1543 19 Sines Sines NNPS A34005 1543 20 , , , A34005 1543 21 and and CC A34005 1543 22 take take VB A34005 1543 23 the the DT A34005 1543 24 sine sine NN A34005 1543 25 of of IN A34005 1543 26 the the DT A34005 1543 27 Ark Ark NNP A34005 1543 28 the the DT A34005 1543 29 Thread Thread NNP A34005 1543 30 lay lie VBD A34005 1543 31 over over RP A34005 1543 32 , , , A34005 1543 33 and and CC A34005 1543 34 enter enter VB A34005 1543 35 it -PRON- PRP A34005 1543 36 twice twice RB A34005 1543 37 forward forward RB A34005 1543 38 from from IN A34005 1543 39 the the DT A34005 1543 40 end end NN A34005 1543 41 of of IN A34005 1543 42 the the DT A34005 1543 43 Scale Scale NNP A34005 1543 44 towards towards IN A34005 1543 45 the the DT A34005 1543 46 Center Center NNP A34005 1543 47 , , , A34005 1543 48 and and CC A34005 1543 49 you -PRON- PRP A34005 1543 50 will will MD A34005 1543 51 obtain obtain VB A34005 1543 52 the the DT A34005 1543 53 Versed Versed NNP A34005 1543 54 sine sine NN A34005 1543 55 of of IN A34005 1543 56 the the DT A34005 1543 57 angle angle NN A34005 1543 58 sought seek VBN A34005 1543 59 . . . A34005 1544 1 When when WRB A34005 1544 2 it -PRON- PRP A34005 1544 3 is be VBZ A34005 1544 4 more more JJR A34005 1544 5 take take VBP A34005 1544 6 the the DT A34005 1544 7 distance distance NN A34005 1544 8 between between IN A34005 1544 9 the the DT A34005 1544 10 sine sine NN A34005 1544 11 of of IN A34005 1544 12 30 30 CD A34005 1544 13 d d NN A34005 1544 14 and and CC A34005 1544 15 the the DT A34005 1544 16 said say VBN A34005 1544 17 sine sine NN A34005 1544 18 , , , A34005 1544 19 and and CC A34005 1544 20 letting let VBG A34005 1544 21 the the DT A34005 1544 22 Line Line NNP A34005 1544 23 of of IN A34005 1544 24 sines sine NNS A34005 1544 25 represent represent VBP A34005 1544 26 the the DT A34005 1544 27 latter latter JJ A34005 1544 28 half half NN A34005 1544 29 of of IN A34005 1544 30 a a DT A34005 1544 31 Line Line NNP A34005 1544 32 of of IN A34005 1544 33 Versed versed JJ A34005 1544 34 sines sine NNS A34005 1544 35 , , , A34005 1544 36 enter enter VB A34005 1544 37 the the DT A34005 1544 38 said say VBN A34005 1544 39 distance distance NN A34005 1544 40 twice twice RB A34005 1544 41 from from IN A34005 1544 42 the the DT A34005 1544 43 Center Center NNP A34005 1544 44 , , , A34005 1544 45 and and CC A34005 1544 46 you -PRON- PRP A34005 1544 47 will will MD A34005 1544 48 obtain obtain VB A34005 1544 49 the the DT A34005 1544 50 Versed Versed NNP A34005 1544 51 sine sine NN A34005 1544 52 of of IN A34005 1544 53 the the DT A34005 1544 54 Arch Arch NNP A34005 1544 55 sought seek VBN A34005 1544 56 , , , A34005 1544 57 namely namely RB A34005 1544 58 , , , A34005 1544 59 the the DT A34005 1544 60 sine sine NN A34005 1544 61 of of IN A34005 1544 62 an an DT A34005 1544 63 Arch Arch NNP A34005 1544 64 , , , A34005 1544 65 whereto whereto NN A34005 1544 66 90 90 CD A34005 1544 67 d d NN A34005 1544 68 must must MD A34005 1544 69 be be VB A34005 1544 70 added add VBN A34005 1544 71 . . . A34005 1545 1 Three three CD A34005 1545 2 sides side NNS A34005 1545 3 to to TO A34005 1545 4 find find VB A34005 1545 5 an an DT A34005 1545 6 Angle Angle NNP A34005 1545 7 , , , A34005 1545 8 a a DT A34005 1545 9 general general JJ A34005 1545 10 Proportion proportion NN A34005 1545 11 . . . A34005 1546 1 As as IN A34005 1546 2 the the DT A34005 1546 3 Sine Sine NNP A34005 1546 4 of of IN A34005 1546 5 one one CD A34005 1546 6 of of IN A34005 1546 7 the the DT A34005 1546 8 Sides Sides NNPS A34005 1546 9 including include VBG A34005 1546 10 an an DT A34005 1546 11 angle angle NN A34005 1546 12 , , , A34005 1546 13 Is be VBZ A34005 1546 14 to to IN A34005 1546 15 the the DT A34005 1546 16 Secant Secant NNP A34005 1546 17 of of IN A34005 1546 18 the the DT A34005 1546 19 Complement Complement NNP A34005 1546 20 of of IN A34005 1546 21 the the DT A34005 1546 22 other other JJ A34005 1546 23 including include VBG A34005 1546 24 side side NN A34005 1546 25 : : : A34005 1546 26 So so RB A34005 1546 27 is be VBZ A34005 1546 28 the the DT A34005 1546 29 difference difference NN A34005 1546 30 of of IN A34005 1546 31 the the DT A34005 1546 32 Versed Versed NNP A34005 1546 33 Sines Sines NNPS A34005 1546 34 of of IN A34005 1546 35 the the DT A34005 1546 36 third third JJ A34005 1546 37 side side NN A34005 1546 38 , , , A34005 1546 39 and and CC A34005 1546 40 of of IN A34005 1546 41 the the DT A34005 1546 42 Ark Ark NNP A34005 1546 43 of of IN A34005 1546 44 difference difference NN A34005 1546 45 betwen betwen IN A34005 1546 46 the the DT A34005 1546 47 two two CD A34005 1546 48 including include VBG A34005 1546 49 sides side NNS A34005 1546 50 , , , A34005 1546 51 To to IN A34005 1546 52 the the DT A34005 1546 53 Versed Versed NNP A34005 1546 54 Sine Sine NNP A34005 1546 55 of of IN A34005 1546 56 the the DT A34005 1546 57 Angle Angle NNP A34005 1546 58 sought seek VBD A34005 1546 59 . . . A34005 1547 1 And and CC A34005 1547 2 So so RB A34005 1547 3 is be VBZ A34005 1547 4 the the DT A34005 1547 5 difference difference NN A34005 1547 6 of of IN A34005 1547 7 the the DT A34005 1547 8 Versed versed JJ A34005 1547 9 sines sine NNS A34005 1547 10 of of IN A34005 1547 11 the the DT A34005 1547 12 third third JJ A34005 1547 13 side side NN A34005 1547 14 , , , A34005 1547 15 and and CC A34005 1547 16 of of IN A34005 1547 17 the the DT A34005 1547 18 sum sum NN A34005 1547 19 of of IN A34005 1547 20 the the DT A34005 1547 21 two two CD A34005 1547 22 including include VBG A34005 1547 23 sides side NNS A34005 1547 24 , , , A34005 1547 25 To to IN A34005 1547 26 the the DT A34005 1547 27 Versed versed JJ A34005 1547 28 sine sine NN A34005 1547 29 of of IN A34005 1547 30 the the DT A34005 1547 31 sought seek VBN A34005 1547 32 angles angle NNS A34005 1547 33 Complement Complement NNP A34005 1547 34 to to IN A34005 1547 35 180d 180d NNPS A34005 1547 36 . . . A34005 1548 1 To to TO A34005 1548 2 repeat repeat VB A34005 1548 3 the the DT A34005 1548 4 Converse converse NN A34005 1548 5 when when WRB A34005 1548 6 two two CD A34005 1548 7 sides side NNS A34005 1548 8 and and CC A34005 1548 9 the the DT A34005 1548 10 angle angle NN A34005 1548 11 comprehended comprehend VBN A34005 1548 12 are be VBP A34005 1548 13 given give VBN A34005 1548 14 to to TO A34005 1548 15 find find VB A34005 1548 16 the the DT A34005 1548 17 third third JJ A34005 1548 18 side side NN A34005 1548 19 were be VBD A34005 1548 20 needless needless JJ A34005 1548 21 . . . A34005 1549 1 If if IN A34005 1549 2 one one CD A34005 1549 3 of of IN A34005 1549 4 the the DT A34005 1549 5 containing contain VBG A34005 1549 6 sides side NNS A34005 1549 7 be be VB A34005 1549 8 greater great JJR A34005 1549 9 then then RB A34005 1549 10 a a DT A34005 1549 11 Quadrant Quadrant NNP A34005 1549 12 , , , A34005 1549 13 instead instead RB A34005 1549 14 of of IN A34005 1549 15 it -PRON- PRP A34005 1549 16 in in IN A34005 1549 17 referrence referrence NN A34005 1549 18 to to IN A34005 1549 19 the the DT A34005 1549 20 two two CD A34005 1549 21 first first JJ A34005 1549 22 Tearms tearm NNS A34005 1549 23 of of IN A34005 1549 24 the the DT A34005 1549 25 Proportion proportion NN A34005 1549 26 , , , A34005 1549 27 take take VB A34005 1549 28 the the DT A34005 1549 29 Complement Complement NNP A34005 1549 30 thereof thereof RB A34005 1549 31 to to IN A34005 1549 32 180d 180d NNS A34005 1549 33 for for IN A34005 1549 34 the the DT A34005 1549 35 reputed reputed JJ A34005 1549 36 side side NN A34005 1549 37 , , , A34005 1549 38 but but CC A34005 1549 39 in in IN A34005 1549 40 differencing difference VBG A34005 1549 41 or or CC A34005 1549 42 summing sum VBG A34005 1549 43 the the DT A34005 1549 44 two two CD A34005 1549 45 containing contain VBG A34005 1549 46 sides side NNS A34005 1549 47 alter alter VBP A34005 1549 48 it -PRON- PRP A34005 1549 49 not not RB A34005 1549 50 : : : A34005 1549 51 And and CC A34005 1549 52 further further JJ A34005 1549 53 note note NN A34005 1549 54 , , , A34005 1549 55 that that IN A34005 1549 56 the the DT A34005 1549 57 same same JJ A34005 1549 58 Versed versed JJ A34005 1549 59 sine sine NN A34005 1549 60 is be VBZ A34005 1549 61 common common JJ A34005 1549 62 to to IN A34005 1549 63 an an DT A34005 1549 64 Ark Ark NNP A34005 1549 65 less less RBR A34005 1549 66 then then RB A34005 1549 67 a a DT A34005 1549 68 Semicircle Semicircle NNP A34005 1549 69 , , , A34005 1549 70 and and CC A34005 1549 71 to to IN A34005 1549 72 its -PRON- PRP$ A34005 1549 73 Complement Complement NNP A34005 1549 74 to to IN A34005 1549 75 360 360 CD A34005 1549 76 d. d. NN A34005 1549 77 The the DT A34005 1549 78 Operation Operation NNP A34005 1549 79 of of IN A34005 1549 80 this this DT A34005 1549 81 Proportion proportion NN A34005 1549 82 will will MD A34005 1549 83 be be VB A34005 1549 84 wholly wholly RB A34005 1549 85 like like IN A34005 1549 86 the the DT A34005 1549 87 former former JJ A34005 1549 88 , , , A34005 1549 89 so so IN A34005 1549 90 that that IN A34005 1549 91 there there EX A34005 1549 92 needs need VBZ A34005 1549 93 no no DT A34005 1549 94 direction direction NN A34005 1549 95 but but CC A34005 1549 96 only only RB A34005 1549 97 how how WRB A34005 1549 98 to to TO A34005 1549 99 take take VB A34005 1549 100 out out RP A34005 1549 101 a a DT A34005 1549 102 difference difference NN A34005 1549 103 of of IN A34005 1549 104 two two CD A34005 1549 105 Versed versed JJ A34005 1549 106 sines sine NNS A34005 1549 107 to to IN A34005 1549 108 the the DT A34005 1549 109 common common JJ A34005 1549 110 Radius Radius NNP A34005 1549 111 , , , A34005 1549 112 seeing see VBG A34005 1549 113 this this DT A34005 1549 114 Quadrant Quadrant NNP A34005 1549 115 of of IN A34005 1549 116 so so RB A34005 1549 117 small small JJ A34005 1549 118 a a DT A34005 1549 119 Radius radius NN A34005 1549 120 is be VBZ A34005 1549 121 not not RB A34005 1549 122 capable capable JJ A34005 1549 123 of of IN A34005 1549 124 such such PDT A34005 1549 125 a a DT A34005 1549 126 Line line NN A34005 1549 127 from from IN A34005 1549 128 the the DT A34005 1549 129 Center Center NNP A34005 1549 130 . . . A34005 1550 1 And and CC A34005 1550 2 here here RB A34005 1550 3 note note VB A34005 1550 4 that that IN A34005 1550 5 the the DT A34005 1550 6 difference difference NN A34005 1550 7 of of IN A34005 1550 8 two two CD A34005 1550 9 Versed versed JJ A34005 1550 10 sines sine NNS A34005 1550 11 less less JJR A34005 1550 12 then then RB A34005 1550 13 a a DT A34005 1550 14 Quadrant Quadrant NNP A34005 1550 15 , , , A34005 1550 16 is be VBZ A34005 1550 17 equal equal JJ A34005 1550 18 to to IN A34005 1550 19 the the DT A34005 1550 20 difference difference NN A34005 1550 21 of of IN A34005 1550 22 the the DT A34005 1550 23 natural natural JJ A34005 1550 24 sines sine NNS A34005 1550 25 of of IN A34005 1550 26 the the DT A34005 1550 27 Complements Complements NNPS A34005 1550 28 of of IN A34005 1550 29 those those DT A34005 1550 30 Arks ark NNS A34005 1550 31 . . . A34005 1551 1 And and CC A34005 1551 2 the the DT A34005 1551 3 difference difference NN A34005 1551 4 of of IN A34005 1551 5 two two CD A34005 1551 6 Versed versed JJ A34005 1551 7 sines sine NNS A34005 1551 8 greater great JJR A34005 1551 9 then then RB A34005 1551 10 a a DT A34005 1551 11 Quadrant Quadrant NNP A34005 1551 12 is be VBZ A34005 1551 13 equal equal JJ A34005 1551 14 to to IN A34005 1551 15 the the DT A34005 1551 16 difference difference NN A34005 1551 17 of of IN A34005 1551 18 the the DT A34005 1551 19 natural natural JJ A34005 1551 20 sines sine NNS A34005 1551 21 of of IN A34005 1551 22 the the DT A34005 1551 23 excess excess NN A34005 1551 24 of of IN A34005 1551 25 those those DT A34005 1551 26 Arks Arks NNP A34005 1551 27 above above IN A34005 1551 28 90 90 CD A34005 1551 29 d. d. NN A34005 1551 30 And and CC A34005 1551 31 by by IN A34005 1551 32 consequence consequence NN A34005 1551 33 the the DT A34005 1551 34 difference difference NN A34005 1551 35 of of IN A34005 1551 36 the the DT A34005 1551 37 Versed versed JJ A34005 1551 38 sines sine NNS A34005 1551 39 of of IN A34005 1551 40 two two CD A34005 1551 41 Arks Arks NNP A34005 1551 42 the the DT A34005 1551 43 one one NN A34005 1551 44 less less JJR A34005 1551 45 , , , A34005 1551 46 the the DT A34005 1551 47 other other JJ A34005 1551 48 greater great JJR A34005 1551 49 then then RB A34005 1551 50 a a DT A34005 1551 51 Quadrant Quadrant NNP A34005 1551 52 is be VBZ A34005 1551 53 equal equal JJ A34005 1551 54 to to IN A34005 1551 55 the the DT A34005 1551 56 sum sum NN A34005 1551 57 of of IN A34005 1551 58 the the DT A34005 1551 59 natural natural JJ A34005 1551 60 sines sine NNS A34005 1551 61 of of IN A34005 1551 62 the the DT A34005 1551 63 lesser less JJR A34005 1551 64 Arks Arks NNP A34005 1551 65 Complement Complement NNP A34005 1551 66 to to IN A34005 1551 67 90d 90d NNS A34005 1551 68 , , , A34005 1551 69 and and CC A34005 1551 70 the the DT A34005 1551 71 greater great JJR A34005 1551 72 Arks Arks NNP A34005 1551 73 excess excess NN A34005 1551 74 above above IN A34005 1551 75 it -PRON- PRP A34005 1551 76 . . . A34005 1552 1 And and CC A34005 1552 2 so so RB A34005 1552 3 a a DT A34005 1552 4 difference difference NN A34005 1552 5 of of IN A34005 1552 6 Versed versed JJ A34005 1552 7 sines sine NNS A34005 1552 8 may may MD A34005 1552 9 be be VB A34005 1552 10 taken take VBN A34005 1552 11 out out IN A34005 1552 12 of of IN A34005 1552 13 the the DT A34005 1552 14 Line Line NNP A34005 1552 15 of of IN A34005 1552 16 natural natural JJ A34005 1552 17 sines sine NNS A34005 1552 18 considered consider VBN A34005 1552 19 as as IN A34005 1552 20 such such JJ A34005 1552 21 . . . A34005 1553 1 Or or CC A34005 1553 2 the the DT A34005 1553 3 Line Line NNP A34005 1553 4 of of IN A34005 1553 5 sines sine NNS A34005 1553 6 may may MD A34005 1553 7 be be VB A34005 1553 8 considered consider VBN A34005 1553 9 sometimes sometimes RB A34005 1553 10 to to TO A34005 1553 11 represent represent VB A34005 1553 12 the the DT A34005 1553 13 former former JJ A34005 1553 14 half half NN A34005 1553 15 of of IN A34005 1553 16 a a DT A34005 1553 17 Line Line NNP A34005 1553 18 of of IN A34005 1553 19 Versed versed JJ A34005 1553 20 Sines Sines NNPS A34005 1553 21 as as IN A34005 1553 22 it -PRON- PRP A34005 1553 23 is be VBZ A34005 1553 24 numbred numbre VBN A34005 1553 25 with with IN A34005 1553 26 the the DT A34005 1553 27 small small JJ A34005 1553 28 figures figure NNS A34005 1553 29 by by IN A34005 1553 30 its -PRON- PRP$ A34005 1553 31 Complements complement NNS A34005 1553 32 from from IN A34005 1553 33 the the DT A34005 1553 34 end end NN A34005 1553 35 of of IN A34005 1553 36 it -PRON- PRP A34005 1553 37 to to IN A34005 1553 38 90d 90d NNS A34005 1553 39 at at IN A34005 1553 40 the the DT A34005 1553 41 Center Center NNP A34005 1553 42 , , , A34005 1553 43 and and CC A34005 1553 44 sometimes sometimes RB A34005 1553 45 the the DT A34005 1553 46 latter latter JJ A34005 1553 47 half half NN A34005 1553 48 of of IN A34005 1553 49 it -PRON- PRP A34005 1553 50 , , , A34005 1553 51 and and CC A34005 1553 52 then then RB A34005 1553 53 the the DT A34005 1553 54 graduations graduation NNS A34005 1553 55 of of IN A34005 1553 56 it -PRON- PRP A34005 1553 57 as as IN A34005 1553 58 Sines Sines NNP A34005 1553 59 must must MD A34005 1553 60 be be VB A34005 1553 61 considered consider VBN A34005 1553 62 as as IN A34005 1553 63 numbred numbre VBN A34005 1553 64 from from IN A34005 1553 65 90 90 CD A34005 1553 66 d d NN A34005 1553 67 to to IN A34005 1553 68 180 180 CD A34005 1553 69 d d NNS A34005 1553 70 at at IN A34005 1553 71 the the DT A34005 1553 72 end end NN A34005 1553 73 of of IN A34005 1553 74 it -PRON- PRP A34005 1553 75 , , , A34005 1553 76 and and CC A34005 1553 77 so so RB A34005 1553 78 a a DT A34005 1553 79 difference difference NN A34005 1553 80 to to TO A34005 1553 81 be be VB A34005 1553 82 taken take VBN A34005 1553 83 out out IN A34005 1553 84 of of IN A34005 1553 85 it -PRON- PRP A34005 1553 86 by by IN A34005 1553 87 taking take VBG A34005 1553 88 the the DT A34005 1553 89 distance distance NN A34005 1553 90 between between IN A34005 1553 91 the the DT A34005 1553 92 two two CD A34005 1553 93 Tearms Tearms NNPS A34005 1553 94 , , , A34005 1553 95 which which WDT A34005 1553 96 if if IN A34005 1553 97 the the DT A34005 1553 98 two two CD A34005 1553 99 Arks Arks NNP A34005 1553 100 fall fall VBP A34005 1553 101 the the DT A34005 1553 102 one one NN A34005 1553 103 to to TO A34005 1553 104 be be VB A34005 1553 105 greater great JJR A34005 1553 106 the the DT A34005 1553 107 other other JJ A34005 1553 108 less less JJR A34005 1553 109 then then RB A34005 1553 110 90 90 CD A34005 1553 111 d d NN A34005 1553 112 will will MD A34005 1553 113 be be VB A34005 1553 114 a a DT A34005 1553 115 sum sum NN A34005 1553 116 of of IN A34005 1553 117 two two CD A34005 1553 118 sines sine NNS A34005 1553 119 , , , A34005 1553 120 as as IN A34005 1553 121 before before IN A34005 1553 122 hinted hint VBN A34005 1553 123 , , , A34005 1553 124 and and CC A34005 1553 125 in in IN A34005 1553 126 this this DT A34005 1553 127 Case Case NNP A34005 1553 128 the the DT A34005 1553 129 sine sine NN A34005 1553 130 of of IN A34005 1553 131 the the DT A34005 1553 132 greater great JJR A34005 1553 133 Arks Arks NNP A34005 1553 134 excess excess NN A34005 1553 135 above above IN A34005 1553 136 90 90 CD A34005 1553 137 d d NNS A34005 1553 138 to to TO A34005 1553 139 be be VB A34005 1553 140 set set VBN A34005 1553 141 down down RP A34005 1553 142 outwards outward NNS A34005 1553 143 if if IN A34005 1553 144 it -PRON- PRP A34005 1553 145 may may MD A34005 1553 146 be be VB A34005 1553 147 , , , A34005 1553 148 at at IN A34005 1553 149 the the DT A34005 1553 150 Versed versed JJ A34005 1553 151 sine sine NN A34005 1553 152 of of IN A34005 1553 153 the the DT A34005 1553 154 lesser less JJR A34005 1553 155 Ark Ark NNP A34005 1553 156 , , , A34005 1553 157 or or CC A34005 1553 158 which which WDT A34005 1553 159 is be VBZ A34005 1553 160 all all DT A34005 1553 161 one one CD A34005 1553 162 , , , A34005 1553 163 at at IN A34005 1553 164 the the DT A34005 1553 165 sine sine NN A34005 1553 166 of of IN A34005 1553 167 that that DT A34005 1553 168 Arks Arks NNP A34005 1553 169 Complement Complement NNP A34005 1553 170 , , , A34005 1553 171 and and CC A34005 1553 172 the the DT A34005 1553 173 distance distance NN A34005 1553 174 from from IN A34005 1553 175 the the DT A34005 1553 176 Exterior Exterior NNP A34005 1553 177 foot foot NN A34005 1553 178 of of IN A34005 1553 179 the the DT A34005 1553 180 Compasses Compasses NNPS A34005 1553 181 to to IN A34005 1553 182 the the DT A34005 1553 183 Center Center NNP A34005 1553 184 will will MD A34005 1553 185 be be VB A34005 1553 186 equal equal JJ A34005 1553 187 to to IN A34005 1553 188 the the DT A34005 1553 189 difference difference NN A34005 1553 190 of of IN A34005 1553 191 the the DT A34005 1553 192 Versed versed JJ A34005 1553 193 sines sine NNS A34005 1553 194 of of IN A34005 1553 195 the the DT A34005 1553 196 Arks Arks NNP A34005 1553 197 proposed propose VBD A34005 1553 198 . . . A34005 1554 1 To to TO A34005 1554 2 measure measure VB A34005 1554 3 a a DT A34005 1554 4 difference difference NN A34005 1554 5 of of IN A34005 1554 6 Versed Versed NNP A34005 1554 7 sines sine NNS A34005 1554 8 to to IN A34005 1554 9 the the DT A34005 1554 10 common common JJ A34005 1554 11 Radius Radius NNP A34005 1554 12 . . . A34005 1555 1 In in IN A34005 1555 2 this this DT A34005 1555 3 Case case NN A34005 1555 4 also also RB A34005 1555 5 the the DT A34005 1555 6 Line Line NNP A34005 1555 7 of of IN A34005 1555 8 sines sine NNS A34005 1555 9 must must MD A34005 1555 10 sometimes sometimes RB A34005 1555 11 represent represent VB A34005 1555 12 the the DT A34005 1555 13 former former JJ A34005 1555 14 , , , A34005 1555 15 sometimes sometimes RB A34005 1555 16 the the DT A34005 1555 17 latter latter JJ A34005 1555 18 half half NN A34005 1555 19 of of IN A34005 1555 20 a a DT A34005 1555 21 Line Line NNP A34005 1555 22 of of IN A34005 1555 23 Versed versed JJ A34005 1555 24 sines sine NNS A34005 1555 25 , , , A34005 1555 26 and and CC A34005 1555 27 then then RB A34005 1555 28 one one CD A34005 1555 29 foot foot NN A34005 1555 30 of of IN A34005 1555 31 the the DT A34005 1555 32 difference difference NN A34005 1555 33 applyed apply VBN A34005 1555 34 to to IN A34005 1555 35 one one CD A34005 1555 36 Ark Ark NNP A34005 1555 37 , , , A34005 1555 38 the the DT A34005 1555 39 other other JJ A34005 1555 40 will will MD A34005 1555 41 fall fall VB A34005 1555 42 in in IN A34005 1555 43 many many JJ A34005 1555 44 Cases case NNS A34005 1555 45 upon upon IN A34005 1555 46 the the DT A34005 1555 47 Ark Ark NNP A34005 1555 48 sought seek VBD A34005 1555 49 , , , A34005 1555 50 each each DT A34005 1555 51 Proportion proportion NN A34005 1555 52 variously variously RB A34005 1555 53 exprest expr JJS A34005 1555 54 , , , A34005 1555 55 so so IN A34005 1555 56 that that DT A34005 1555 57 possibly possibly RB A34005 1555 58 either either CC A34005 1555 59 one one CD A34005 1555 60 or or CC A34005 1555 61 the the DT A34005 1555 62 other other JJ A34005 1555 63 will will MD A34005 1555 64 serve serve VB A34005 1555 65 in in IN A34005 1555 66 all all DT A34005 1555 67 Cases case NNS A34005 1555 68 . . . A34005 1556 1 But but CC A34005 1556 2 if if IN A34005 1556 3 one one CD A34005 1556 4 of of IN A34005 1556 5 the the DT A34005 1556 6 feet foot NNS A34005 1556 7 of of IN A34005 1556 8 the the DT A34005 1556 9 Compasses Compasses NNPS A34005 1556 10 falls fall VBZ A34005 1556 11 beyond beyond IN A34005 1556 12 the the DT A34005 1556 13 Center Center NNP A34005 1556 14 of of IN A34005 1556 15 the the DT A34005 1556 16 Quadrant Quadrant NNP A34005 1556 17 : : : A34005 1556 18 To to TO A34005 1556 19 find find VB A34005 1556 20 how how WRB A34005 1556 21 much much JJ A34005 1556 22 it -PRON- PRP A34005 1556 23 falls fall VBZ A34005 1556 24 beyond beyond IN A34005 1556 25 it -PRON- PRP A34005 1556 26 , , , A34005 1556 27 bring bring VB A34005 1556 28 the the DT A34005 1556 29 said say VBN A34005 1556 30 foot foot NN A34005 1556 31 to to IN A34005 1556 32 the the DT A34005 1556 33 Center Center NNP A34005 1556 34 , , , A34005 1556 35 and and CC A34005 1556 36 let let VB A34005 1556 37 the the DT A34005 1556 38 other other JJ A34005 1556 39 fall fall VB A34005 1556 40 backward backward JJ A34005 1556 41 on on IN A34005 1556 42 the the DT A34005 1556 43 Line Line NNP A34005 1556 44 , , , A34005 1556 45 then then RB A34005 1556 46 will will MD A34005 1556 47 the the DT A34005 1556 48 distance distance NN A34005 1556 49 between between IN A34005 1556 50 the the DT A34005 1556 51 said say VBD A34005 1556 52 other other JJ A34005 1556 53 foot foot NN A34005 1556 54 , , , A34005 1556 55 where where WRB A34005 1556 56 it -PRON- PRP A34005 1556 57 now now RB A34005 1556 58 falleth falleth JJ A34005 1556 59 , , , A34005 1556 60 and and CC A34005 1556 61 the the DT A34005 1556 62 place place NN A34005 1556 63 where where WRB A34005 1556 64 it -PRON- PRP A34005 1556 65 stood stand VBD A34005 1556 66 before before RB A34005 1556 67 be be VB A34005 1556 68 equal equal JJ A34005 1556 69 to to IN A34005 1556 70 the the DT A34005 1556 71 excess excess NN A34005 1556 72 of of IN A34005 1556 73 the the DT A34005 1556 74 former former JJ A34005 1556 75 foot foot NN A34005 1556 76 beyond beyond IN A34005 1556 77 the the DT A34005 1556 78 Center Center NNP A34005 1556 79 , , , A34005 1556 80 which which WDT A34005 1556 81 accordingly accordingly RB A34005 1556 82 thence thence NN A34005 1556 83 measured measure VBD A34005 1556 84 helps help VBZ A34005 1556 85 you -PRON- PRP A34005 1556 86 to to IN A34005 1556 87 the the DT A34005 1556 88 Arch Arch NNP A34005 1556 89 sought seek VBN A34005 1556 90 , , , A34005 1556 91 and and CC A34005 1556 92 its -PRON- PRP$ A34005 1556 93 Complement Complement NNP A34005 1556 94 both both CC A34005 1556 95 at at IN A34005 1556 96 once once RB A34005 1556 97 with with IN A34005 1556 98 due due JJ A34005 1556 99 regard regard NN A34005 1556 100 to to IN A34005 1556 101 the the DT A34005 1556 102 representation representation NN A34005 1556 103 of of IN A34005 1556 104 the the DT A34005 1556 105 Line Line NNP A34005 1556 106 ; ; : A34005 1556 107 this this DT A34005 1556 108 should should MD A34005 1556 109 be be VB A34005 1556 110 well well RB A34005 1556 111 observed observe VBN A34005 1556 112 , , , A34005 1556 113 for for IN A34005 1556 114 it -PRON- PRP A34005 1556 115 will will MD A34005 1556 116 be be VB A34005 1556 117 of of IN A34005 1556 118 use use NN A34005 1556 119 on on IN A34005 1556 120 other other JJ A34005 1556 121 Instruments Instruments NNPS A34005 1556 122 . . . A34005 1557 1 A a DT A34005 1557 2 difference difference NN A34005 1557 3 of of IN A34005 1557 4 Versed versed JJ A34005 1557 5 sines sine NNS A34005 1557 6 thus thus RB A34005 1557 7 taken take VBN A34005 1557 8 out out RP A34005 1557 9 to to IN A34005 1557 10 the the DT A34005 1557 11 Common Common NNP A34005 1557 12 Radius Radius NNP A34005 1557 13 must must MD A34005 1557 14 be be VB A34005 1557 15 entred entre VBN A34005 1557 16 but but CC A34005 1557 17 once once RB A34005 1557 18 down down RB A34005 1557 19 from from IN A34005 1557 20 the the DT A34005 1557 21 Center Center NNP A34005 1557 22 . . . A34005 1558 1 To to TO A34005 1558 2 take take VB A34005 1558 3 out out RP A34005 1558 4 a a DT A34005 1558 5 Difference Difference NNP A34005 1558 6 of of IN A34005 1558 7 Versed versed JJ A34005 1558 8 sines sine NNS A34005 1558 9 to to IN A34005 1558 10 half half PDT A34005 1558 11 the the DT A34005 1558 12 common common JJ A34005 1558 13 Radius radius NN A34005 1558 14 . . . A34005 1559 1 Count count VB A34005 1559 2 both both CC A34005 1559 3 the the DT A34005 1559 4 Arks Arks NNP A34005 1559 5 proposed propose VBD A34005 1559 6 on on IN A34005 1559 7 the the DT A34005 1559 8 Versed versed JJ A34005 1559 9 sines sine NNS A34005 1559 10 in in IN A34005 1559 11 the the DT A34005 1559 12 Limbe Limbe NNP A34005 1559 13 , , , A34005 1559 14 and and CC A34005 1559 15 find find VB A34005 1559 16 what what WP A34005 1559 17 Arks Arks NNP A34005 1559 18 of of IN A34005 1559 19 the the DT A34005 1559 20 equal equal JJ A34005 1559 21 Limbe Limbe NNP A34005 1559 22 answer answer NN A34005 1559 23 thereto thereto NN A34005 1559 24 , , , A34005 1559 25 then then RB A34005 1559 26 out out IN A34005 1559 27 of of IN A34005 1559 28 the the DT A34005 1559 29 Line Line NNP A34005 1559 30 of of IN A34005 1559 31 sines sine NNS A34005 1559 32 take take VBP A34005 1559 33 the the DT A34005 1559 34 distance distance NN A34005 1559 35 between between IN A34005 1559 36 the the DT A34005 1559 37 said say VBN A34005 1559 38 Arks Arks NNP A34005 1559 39 , , , A34005 1559 40 and and CC A34005 1559 41 you -PRON- PRP A34005 1559 42 have have VBP A34005 1559 43 the the DT A34005 1559 44 extent extent NN A34005 1559 45 required require VBN A34005 1559 46 , , , A34005 1559 47 which which WDT A34005 1559 48 being be VBG A34005 1559 49 but but CC A34005 1559 50 half half RB A34005 1559 51 so so RB A34005 1559 52 large large JJ A34005 1559 53 as as IN A34005 1559 54 it -PRON- PRP A34005 1559 55 should should MD A34005 1559 56 be be VB A34005 1559 57 is be VBZ A34005 1559 58 to to TO A34005 1559 59 be be VB A34005 1559 60 entred entre VBN A34005 1559 61 twice twice RB A34005 1559 62 down down RB A34005 1559 63 from from IN A34005 1559 64 the the DT A34005 1559 65 Center Center NNP A34005 1559 66 . . . A34005 1560 1 To to TO A34005 1560 2 measure measure VB A34005 1560 3 a a DT A34005 1560 4 difference difference NN A34005 1560 5 of of IN A34005 1560 6 Versed Versed NNP A34005 1560 7 sines sine NNS A34005 1560 8 to to IN A34005 1560 9 half half PDT A34005 1560 10 the the DT A34005 1560 11 common common JJ A34005 1560 12 Radius radius NN A34005 1560 13 . . . A34005 1561 1 The the DT A34005 1561 2 Versed versed JJ A34005 1561 3 sines sine NNS A34005 1561 4 are be VBP A34005 1561 5 largest large JJS A34005 1561 6 at at IN A34005 1561 7 that that DT A34005 1561 8 end end NN A34005 1561 9 numbred numbre VBN A34005 1561 10 with with IN A34005 1561 11 180d 180d NNPS A34005 1561 12 , , , A34005 1561 13 count count VB A34005 1561 14 the the DT A34005 1561 15 given give VBN A34005 1561 16 Ark Ark NNP A34005 1561 17 from from IN A34005 1561 18 thence thence NN A34005 1561 19 , , , A34005 1561 20 and and CC A34005 1561 21 laying lay VBG A34005 1561 22 the the DT A34005 1561 23 Thread Thread NNP A34005 1561 24 over over IN A34005 1561 25 the the DT A34005 1561 26 equal equal JJ A34005 1561 27 Limb Limb NNP A34005 1561 28 find find VB A34005 1561 29 what what WP A34005 1561 30 Ark Ark NNP A34005 1561 31 answers answer NNS A34005 1561 32 thereto thereto NN A34005 1561 33 , , , A34005 1561 34 then then RB A34005 1561 35 setting set VBG A34005 1561 36 down down RP A34005 1561 37 the the DT A34005 1561 38 Compasses compass NNS A34005 1561 39 at at IN A34005 1561 40 the the DT A34005 1561 41 like like JJ A34005 1561 42 Ark Ark NNP A34005 1561 43 in in IN A34005 1561 44 the the DT A34005 1561 45 Line Line NNP A34005 1561 46 of of IN A34005 1561 47 sines sine NNS A34005 1561 48 from from IN A34005 1561 49 the the DT A34005 1561 50 end end NN A34005 1561 51 of of IN A34005 1561 52 it -PRON- PRP A34005 1561 53 towards towards IN A34005 1561 54 the the DT A34005 1561 55 Center Center NNP A34005 1561 56 mind mind NN A34005 1561 57 upon upon IN A34005 1561 58 what what WP A34005 1561 59 Ark Ark NNP A34005 1561 60 it -PRON- PRP A34005 1561 61 falls fall VBZ A34005 1561 62 , , , A34005 1561 63 the the DT A34005 1561 64 Thread thread NN A34005 1561 65 laid lay VBD A34005 1561 66 to to IN A34005 1561 67 the the DT A34005 1561 68 like like JJ A34005 1561 69 Ark Ark NNP A34005 1561 70 in in IN A34005 1561 71 the the DT A34005 1561 72 Limb Limb NNP A34005 1561 73 sheweth sheweth NN A34005 1561 74 on on IN A34005 1561 75 the the DT A34005 1561 76 Versed versed JJ A34005 1561 77 sines sin VBZ A34005 1561 78 the the DT A34005 1561 79 Ark Ark NNP A34005 1561 80 sought seek VBD A34005 1561 81 . . . A34005 1562 1 To to TO A34005 1562 2 save save VB A34005 1562 3 the the DT A34005 1562 4 labour labour NN A34005 1562 5 of of IN A34005 1562 6 drawing draw VBG A34005 1562 7 a a DT A34005 1562 8 Triangle Triangle NNP A34005 1562 9 , , , A34005 1562 10 I -PRON- PRP A34005 1562 11 shall shall MD A34005 1562 12 deliver deliver VB A34005 1562 13 the the DT A34005 1562 14 Proportion proportion NN A34005 1562 15 for for IN A34005 1562 16 the the DT A34005 1562 17 Azimuth Azimuth NNP A34005 1562 18 derived derive VBN A34005 1562 19 from from IN A34005 1562 20 the the DT A34005 1562 21 general general JJ A34005 1562 22 Proportion Proportion NNP A34005 1562 23 , , , A34005 1562 24 As as IN A34005 1562 25 the the DT A34005 1562 26 Cosine Cosine NNP A34005 1562 27 of of IN A34005 1562 28 the the DT A34005 1562 29 Latitude Latitude NNP A34005 1562 30 , , , A34005 1562 31 To to IN A34005 1562 32 the the DT A34005 1562 33 Secant secant NN A34005 1562 34 of of IN A34005 1562 35 the the DT A34005 1562 36 Altitude altitude NN A34005 1562 37 , , , A34005 1562 38 Or or CC A34005 1562 39 , , , A34005 1562 40 As as IN A34005 1562 41 the the DT A34005 1562 42 Cosine Cosine NNP A34005 1562 43 of of IN A34005 1562 44 the the DT A34005 1562 45 Altitude altitude NN A34005 1562 46 , , , A34005 1562 47 To to IN A34005 1562 48 the the DT A34005 1562 49 Secant secant NN A34005 1562 50 of of IN A34005 1562 51 the the DT A34005 1562 52 Latitude Latitude NNP A34005 1562 53 : : : A34005 1562 54 So so RB A34005 1562 55 is be VBZ A34005 1562 56 the the DT A34005 1562 57 difference difference NN A34005 1562 58 of of IN A34005 1562 59 the the DT A34005 1562 60 Versed versed JJ A34005 1562 61 sines sine NNS A34005 1562 62 of of IN A34005 1562 63 the the DT A34005 1562 64 Sun Sun NNP A34005 1562 65 or or CC A34005 1562 66 Stars Stars NNP A34005 1562 67 distance distance NN A34005 1562 68 from from IN A34005 1562 69 the the DT A34005 1562 70 Elevated Elevated NNP A34005 1562 71 Pole Pole NNP A34005 1562 72 , , , A34005 1562 73 and and CC A34005 1562 74 of of IN A34005 1562 75 the the DT A34005 1562 76 Ark Ark NNP A34005 1562 77 of of IN A34005 1562 78 difference difference NN A34005 1562 79 between between IN A34005 1562 80 the the DT A34005 1562 81 Latitude Latitude NNP A34005 1562 82 and and CC A34005 1562 83 Altititude Altititude NNP A34005 1562 84 . . . A34005 1563 1 To to IN A34005 1563 2 the the DT A34005 1563 3 Versed versed JJ A34005 1563 4 sine sine NN A34005 1563 5 of of IN A34005 1563 6 the the DT A34005 1563 7 Azimuth Azimuth NNP A34005 1563 8 sought seek VBD A34005 1563 9 ; ; : A34005 1563 10 as as IN A34005 1563 11 it -PRON- PRP A34005 1563 12 falls fall VBZ A34005 1563 13 in in IN A34005 1563 14 the the DT A34005 1563 15 Sphoere Sphoere NNP A34005 1563 16 that that WDT A34005 1563 17 is be VBZ A34005 1563 18 from from IN A34005 1563 19 the the DT A34005 1563 20 Midnight Midnight NNP A34005 1563 21 Meridian Meridian NNP A34005 1563 22 . . . A34005 1564 1 And and CC A34005 1564 2 So so RB A34005 1564 3 is be VBZ A34005 1564 4 the the DT A34005 1564 5 difference difference NN A34005 1564 6 of of IN A34005 1564 7 the the DT A34005 1564 8 Versed versed JJ A34005 1564 9 sines sine NNS A34005 1564 10 of of IN A34005 1564 11 the the DT A34005 1564 12 Polar Polar NNP A34005 1564 13 distance distance NN A34005 1564 14 , , , A34005 1564 15 and and CC A34005 1564 16 of of IN A34005 1564 17 the the DT A34005 1564 18 Ark Ark NNP A34005 1564 19 of of IN A34005 1564 20 difference difference NN A34005 1564 21 between between IN A34005 1564 22 a a DT A34005 1564 23 Semicircle Semicircle NNP A34005 1564 24 and and CC A34005 1564 25 the the DT A34005 1564 26 sum sum NN A34005 1564 27 of of IN A34005 1564 28 the the DT A34005 1564 29 Latitude Latitude NNP A34005 1564 30 and and CC A34005 1564 31 Altitude Altitude NNP A34005 1564 32 , , , A34005 1564 33 To to IN A34005 1564 34 the the DT A34005 1564 35 Versed Versed NNP A34005 1564 36 Sine Sine NNP A34005 1564 37 of of IN A34005 1564 38 the the DT A34005 1564 39 Azimuth Azimuth NNP A34005 1564 40 from from IN A34005 1564 41 Noon Noon NNP A34005 1564 42 Meridian Meridian NNP A34005 1564 43 . . . A34005 1565 1 A a DT A34005 1565 2 Canon Canon NNP A34005 1565 3 derived derive VBD A34005 1565 4 from from IN A34005 1565 5 the the DT A34005 1565 6 Inverse Inverse NNP A34005 1565 7 of of IN A34005 1565 8 the the DT A34005 1565 9 general general JJ A34005 1565 10 Proportion Proportion NNP A34005 1565 11 to to TO A34005 1565 12 finde finde VB A34005 1565 13 the the DT A34005 1565 14 Distance Distance NNP A34005 1565 15 of of IN A34005 1565 16 places place NNS A34005 1565 17 in in IN A34005 1565 18 the the DT A34005 1565 19 Ark Ark NNP A34005 1565 20 of of IN A34005 1565 21 a a DT A34005 1565 22 great great JJ A34005 1565 23 Circle Circle NNP A34005 1565 24 . . . A34005 1566 1 As as IN A34005 1566 2 the the DT A34005 1566 3 Secant secant NN A34005 1566 4 of of IN A34005 1566 5 one one CD A34005 1566 6 of of IN A34005 1566 7 the the DT A34005 1566 8 Latitudes Latitudes NNPS A34005 1566 9 , , , A34005 1566 10 To to IN A34005 1566 11 the the DT A34005 1566 12 Cosine Cosine NNP A34005 1566 13 of of IN A34005 1566 14 the the DT A34005 1566 15 other other JJ A34005 1566 16 . . . A34005 1567 1 So so RB A34005 1567 2 the the DT A34005 1567 3 Versed versed JJ A34005 1567 4 sine sine NN A34005 1567 5 of of IN A34005 1567 6 the the DT A34005 1567 7 difference difference NN A34005 1567 8 of of IN A34005 1567 9 Longitude Longitude NNP A34005 1567 10 , , , A34005 1567 11 To to IN A34005 1567 12 the the DT A34005 1567 13 difference difference NN A34005 1567 14 of of IN A34005 1567 15 the the DT A34005 1567 16 Versed versed JJ A34005 1567 17 sines sine NNS A34005 1567 18 of of IN A34005 1567 19 the the DT A34005 1567 20 Ark Ark NNP A34005 1567 21 of of IN A34005 1567 22 distance distance NN A34005 1567 23 sought seek VBD A34005 1567 24 , , , A34005 1567 25 and and CC A34005 1567 26 of of IN A34005 1567 27 the the DT A34005 1567 28 Ark Ark NNP A34005 1567 29 of of IN A34005 1567 30 difference difference NN A34005 1567 31 between between IN A34005 1567 32 both both DT A34005 1567 33 Latitudes Latitudes NNP A34005 1567 34 , , , A34005 1567 35 when when WRB A34005 1567 36 in in IN A34005 1567 37 the the DT A34005 1567 38 same same JJ A34005 1567 39 Hemisphere Hemisphere NNP A34005 1567 40 , , , A34005 1567 41 or or CC A34005 1567 42 the the DT A34005 1567 43 Ark Ark NNP A34005 1567 44 of of IN A34005 1567 45 the the DT A34005 1567 46 sum sum NN A34005 1567 47 of of IN A34005 1567 48 both both DT A34005 1567 49 Latitudes Latitudes NNP A34005 1567 50 when when WRB A34005 1567 51 in in IN A34005 1567 52 both both DT A34005 1567 53 Hemispheres hemisphere NNS A34005 1567 54 , , , A34005 1567 55 which which WDT A34005 1567 56 difference difference NN A34005 1567 57 added add VBD A34005 1567 58 to to IN A34005 1567 59 the the DT A34005 1567 60 Versed versed JJ A34005 1567 61 sine sine NN A34005 1567 62 of of IN A34005 1567 63 the the DT A34005 1567 64 said say VBD A34005 1567 65 Ark Ark NNP A34005 1567 66 gives give VBZ A34005 1567 67 the the DT A34005 1567 68 Versed versed JJ A34005 1567 69 sine sine NN A34005 1567 70 of of IN A34005 1567 71 the the DT A34005 1567 72 Ark Ark NNP A34005 1567 73 of of IN A34005 1567 74 distance distance NN A34005 1567 75 sought seek VBD A34005 1567 76 . . . A34005 1568 1 And and CC A34005 1568 2 So so RB A34005 1568 3 is be VBZ A34005 1568 4 the the DT A34005 1568 5 Versed versed JJ A34005 1568 6 sine sine NN A34005 1568 7 of of IN A34005 1568 8 the the DT A34005 1568 9 Complement Complement NNP A34005 1568 10 of of IN A34005 1568 11 the the DT A34005 1568 12 difference difference NN A34005 1568 13 of of IN A34005 1568 14 Longtitude Longtitude NNP A34005 1568 15 to to IN A34005 1568 16 180 180 CD A34005 1568 17 d. d. NN A34005 1568 18 To to IN A34005 1568 19 the the DT A34005 1568 20 difference difference NN A34005 1568 21 of of IN A34005 1568 22 the the DT A34005 1568 23 Versed versed JJ A34005 1568 24 sines sine NNS A34005 1568 25 of of IN A34005 1568 26 the the DT A34005 1568 27 Ark Ark NNP A34005 1568 28 of of IN A34005 1568 29 distance distance NN A34005 1568 30 sought seek VBD A34005 1568 31 , , , A34005 1568 32 and and CC A34005 1568 33 of of IN A34005 1568 34 an an DT A34005 1568 35 Ark Ark NNP A34005 1568 36 being be VBG A34005 1568 37 the the DT A34005 1568 38 sum sum NN A34005 1568 39 of of IN A34005 1568 40 the the DT A34005 1568 41 Complements Complements NNPS A34005 1568 42 of of IN A34005 1568 43 both both DT A34005 1568 44 Latitudes Latitudes NNP A34005 1568 45 when when WRB A34005 1568 46 in in IN A34005 1568 47 one one CD A34005 1568 48 Hemisphere Hemisphere NNP A34005 1568 49 ; ; : A34005 1568 50 Or or CC A34005 1568 51 the the DT A34005 1568 52 sum sum NN A34005 1568 53 of of IN A34005 1568 54 the the DT A34005 1568 55 lesser less JJR A34005 1568 56 Latitude Latitude NNP A34005 1568 57 encreased encrease VBN A34005 1568 58 by by IN A34005 1568 59 90d 90d NNS A34005 1568 60 , , , A34005 1568 61 and and CC A34005 1568 62 of of IN A34005 1568 63 the the DT A34005 1568 64 Complement Complement NNP A34005 1568 65 of of IN A34005 1568 66 the the DT A34005 1568 67 greater great JJR A34005 1568 68 Latitude Latitude NNP A34005 1568 69 when when WRB A34005 1568 70 in in IN A34005 1568 71 different different JJ A34005 1568 72 Hemispheres hemisphere NNS A34005 1568 73 , , , A34005 1568 74 which which WDT A34005 1568 75 difference difference NN A34005 1568 76 substracted substracte VBN A34005 1568 77 from from IN A34005 1568 78 the the DT A34005 1568 79 Versed versed JJ A34005 1568 80 sine sine NN A34005 1568 81 of of IN A34005 1568 82 the the DT A34005 1568 83 said say VBD A34005 1568 84 Ark Ark NNP A34005 1568 85 , , , A34005 1568 86 there there EX A34005 1568 87 will will MD A34005 1568 88 remain remain VB A34005 1568 89 the the DT A34005 1568 90 Versed versed JJ A34005 1568 91 sine sine NN A34005 1568 92 of of IN A34005 1568 93 the the DT A34005 1568 94 Ark Ark NNP A34005 1568 95 of of IN A34005 1568 96 distance distance NN A34005 1568 97 sought seek VBD A34005 1568 98 . . . A34005 1569 1 This this DT A34005 1569 2 Proportion proportion NN A34005 1569 3 is be VBZ A34005 1569 4 to to TO A34005 1569 5 be be VB A34005 1569 6 wrought work VBN A34005 1569 7 after after IN A34005 1569 8 the the DT A34005 1569 9 same same JJ A34005 1569 10 manner manner NN A34005 1569 11 as as IN A34005 1569 12 we -PRON- PRP A34005 1569 13 found find VBD A34005 1569 14 the the DT A34005 1569 15 Suns Suns NNPS A34005 1569 16 Altitudes Altitudes NNPS A34005 1569 17 on on IN A34005 1569 18 all all DT A34005 1569 19 hours hour NNS A34005 1569 20 universally universally RB A34005 1569 21 , , , A34005 1569 22 and and CC A34005 1569 23 the the DT A34005 1569 24 difference difference NN A34005 1569 25 to to TO A34005 1569 26 be be VB A34005 1569 27 measured measure VBN A34005 1569 28 in in IN A34005 1569 29 the the DT A34005 1569 30 Line Line NNP A34005 1569 31 of of IN A34005 1569 32 sines sine NNS A34005 1569 33 as as IN A34005 1569 34 representing represent VBG A34005 1569 35 the the DT A34005 1569 36 former former JJ A34005 1569 37 half half NN A34005 1569 38 of of IN A34005 1569 39 a a DT A34005 1569 40 Line Line NNP A34005 1569 41 of of IN A34005 1569 42 Versed versed JJ A34005 1569 43 sines sine NNS A34005 1569 44 , , , A34005 1569 45 according accord VBG A34005 1569 46 to to IN A34005 1569 47 the the DT A34005 1569 48 Directions Directions NNPS A34005 1569 49 given give VBN A34005 1569 50 for for IN A34005 1569 51 measuring measure VBG A34005 1569 52 of of IN A34005 1569 53 a a DT A34005 1569 54 difference difference NN A34005 1569 55 of of IN A34005 1569 56 Versed Versed NNP A34005 1569 57 sines sine NNS A34005 1569 58 to to IN A34005 1569 59 the the DT A34005 1569 60 common common JJ A34005 1569 61 Radius Radius NNP A34005 1569 62 or or CC A34005 1569 63 Radius Radius NNP A34005 1569 64 of of IN A34005 1569 65 the the DT A34005 1569 66 Quadrant Quadrant NNP A34005 1569 67 . . . A34005 1570 1 By by IN A34005 1570 2 altring altre VBG A34005 1570 3 the the DT A34005 1570 4 two two CD A34005 1570 5 first first JJ A34005 1570 6 Tearms tearm NNS A34005 1570 7 of of IN A34005 1570 8 the the DT A34005 1570 9 Proportion proportion NN A34005 1570 10 above above RB A34005 1570 11 , , , A34005 1570 12 we -PRON- PRP A34005 1570 13 may may MD A34005 1570 14 work work VB A34005 1570 15 this this DT A34005 1570 16 Proposition Proposition NNP A34005 1570 17 by by IN A34005 1570 18 positive positive JJ A34005 1570 19 entrance entrance NN A34005 1570 20 . . . A34005 1571 1 As as IN A34005 1571 2 the the DT A34005 1571 3 Radius Radius NNP A34005 1571 4 , , , A34005 1571 5 To to IN A34005 1571 6 the the DT A34005 1571 7 Cosine Cosine NNP A34005 1571 8 of of IN A34005 1571 9 one one CD A34005 1571 10 of of IN A34005 1571 11 the the DT A34005 1571 12 Latitudes Latitudes NNPS A34005 1571 13 : : : A34005 1571 14 So so CC A34005 1571 15 the the DT A34005 1571 16 Cosine Cosine NNP A34005 1571 17 of of IN A34005 1571 18 the the DT A34005 1571 19 other other JJ A34005 1571 20 Latitude Latitude NNP A34005 1571 21 , , , A34005 1571 22 To to IN A34005 1571 23 a a DT A34005 1571 24 fourth fourth JJ A34005 1571 25 . . . A34005 1572 1 Again again RB A34005 1572 2 . . . A34005 1573 1 As as IN A34005 1573 2 the the DT A34005 1573 3 Radius Radius NNP A34005 1573 4 , , , A34005 1573 5 To to IN A34005 1573 6 the the DT A34005 1573 7 Versed versed JJ A34005 1573 8 sine sine NN A34005 1573 9 , , , A34005 1573 10 as as IN A34005 1573 11 above above RB A34005 1573 12 expressed express VBN A34005 1573 13 in in IN A34005 1573 14 both both DT A34005 1573 15 parts part NNS A34005 1573 16 , , , A34005 1573 17 So so RB A34005 1573 18 is be VBZ A34005 1573 19 that that DT A34005 1573 20 fourth fourth JJ A34005 1573 21 , , , A34005 1573 22 To to IN A34005 1573 23 the the DT A34005 1573 24 difference difference NN A34005 1573 25 as as IN A34005 1573 26 above above RB A34005 1573 27 expressed express VBN A34005 1573 28 . . . A34005 1574 1 An an DT A34005 1574 2 Example Example NNP A34005 1574 3 for for IN A34005 1574 4 finding find VBG A34005 1574 5 the the DT A34005 1574 6 distance distance NN A34005 1574 7 between between IN A34005 1574 8 London London NNP A34005 1574 9 and and CC A34005 1574 10 Bantum Bantum NNP A34005 1574 11 in in IN A34005 1574 12 the the DT A34005 1574 13 Arch Arch NNP A34005 1574 14 of of IN A34005 1574 15 a a DT A34005 1574 16 great great JJ A34005 1574 17 Circle Circle NNP A34005 1574 18 the the DT A34005 1574 19 same same JJ A34005 1574 20 that that WDT A34005 1574 21 was be VBD A34005 1574 22 proposed propose VBN A34005 1574 23 in in IN A34005 1574 24 Page page NN A34005 1574 25 96 96 CD A34005 1574 26 . . . A34005 1575 1 Bantam Bantam NNP A34005 1575 2 Longitude Longitude NNP A34005 1575 3 140d 140d NNP A34005 1575 4 Latitude Latitude NNP A34005 1575 5 5d 5d NNP A34005 1575 6 40′ 40′ CD A34005 1575 7 South South NNP A34005 1575 8 . . . A34005 1576 1 London London NNP A34005 1576 2 Longitude Longitude NNP A34005 1576 3 25 25 CD A34005 1576 4 , , , A34005 1576 5 50′ 50′ CD A34005 1576 6 Latitude Latitude NNP A34005 1576 7 51 51 CD A34005 1576 8 32 32 CD A34005 1576 9 North North NNP A34005 1576 10 . . . A34005 1577 1 difference difference NN A34005 1577 2 of of IN A34005 1577 3 Longitude Longitude NNP A34005 1577 4 114 114 CD A34005 1577 5 : : SYM A34005 1577 6 10 10 CD A34005 1577 7 Sum Sum NNP A34005 1577 8 57 57 CD A34005 1577 9 12 12 CD A34005 1577 10 Lay Lay NNP A34005 1577 11 the the DT A34005 1577 12 Thread thread NN A34005 1577 13 to to IN A34005 1577 14 5d 5d CD A34005 1577 15 40′ 40′ CD A34005 1577 16 in in IN A34005 1577 17 the the DT A34005 1577 18 Limb Limb NNP A34005 1577 19 counted count VBD A34005 1577 20 from from IN A34005 1577 21 left left JJ A34005 1577 22 edge edge NN A34005 1577 23 and and CC A34005 1577 24 from from IN A34005 1577 25 38d 38d CD A34005 1577 26 28′ 28′ CD A34005 1577 27 in in IN A34005 1577 28 the the DT A34005 1577 29 sines sine NNS A34005 1577 30 the the DT A34005 1577 31 Complement Complement NNP A34005 1577 32 of of IN A34005 1577 33 our -PRON- PRP$ A34005 1577 34 Latitude Latitude NNP A34005 1577 35 take take VBP A34005 1577 36 the the DT A34005 1577 37 nearest near JJS A34005 1577 38 distance distance NN A34005 1577 39 to to IN A34005 1577 40 it -PRON- PRP A34005 1577 41 , , , A34005 1577 42 then then RB A34005 1577 43 lay lay VB A34005 1577 44 the the DT A34005 1577 45 Thread Thread NNP A34005 1577 46 to to IN A34005 1577 47 114d 114d NNS A34005 1577 48 10′ 10′ CD A34005 1577 49 in in IN A34005 1577 50 the the DT A34005 1577 51 Versed versed JJ A34005 1577 52 sines sine NNS A34005 1577 53 and and CC A34005 1577 54 entring entre VBG A34005 1577 55 the the DT A34005 1577 56 former former JJ A34005 1577 57 extent extent NN A34005 1577 58 down down IN A34005 1577 59 the the DT A34005 1577 60 Line Line NNP A34005 1577 61 of of IN A34005 1577 62 sines sine NNS A34005 1577 63 from from IN A34005 1577 64 the the DT A34005 1577 65 Center Center NNP A34005 1577 66 take take VBP A34005 1577 67 the the DT A34005 1577 68 nearest near JJS A34005 1577 69 distance distance NN A34005 1577 70 to to IN A34005 1577 71 it -PRON- PRP A34005 1577 72 , , , A34005 1577 73 then then RB A34005 1577 74 laying lay VBG A34005 1577 75 the the DT A34005 1577 76 Thread Thread NNP A34005 1577 77 over over IN A34005 1577 78 57d 57d NNS A34005 1577 79 12′ 12′ CD A34005 1577 80 in in IN A34005 1577 81 the the DT A34005 1577 82 Versed Versed NNP A34005 1577 83 sine sine NN A34005 1577 84 , , , A34005 1577 85 it -PRON- PRP A34005 1577 86 cuts cut VBZ A34005 1577 87 the the DT A34005 1577 88 Limbe Limbe NNP A34005 1577 89 at at IN A34005 1577 90 13d 13d CD A34005 1577 91 15′ 15′ CD A34005 1577 92 from from IN A34005 1577 93 the the DT A34005 1577 94 right right JJ A34005 1577 95 edge edge NN A34005 1577 96 , , , A34005 1577 97 at at IN A34005 1577 98 the the DT A34005 1577 99 like like JJ A34005 1577 100 Ark Ark NNP A34005 1577 101 set set VBD A34005 1577 102 down down RP A34005 1577 103 one one CD A34005 1577 104 foot foot NN A34005 1577 105 of of IN A34005 1577 106 the the DT A34005 1577 107 former former JJ A34005 1577 108 extent extent NN A34005 1577 109 in in IN A34005 1577 110 the the DT A34005 1577 111 Line Line NNP A34005 1577 112 of of IN A34005 1577 113 sines sine NNS A34005 1577 114 , , , A34005 1577 115 and and CC A34005 1577 116 the the DT A34005 1577 117 other other JJ A34005 1577 118 will will MD A34005 1577 119 reach reach VB A34005 1577 120 to to IN A34005 1577 121 the the DT A34005 1577 122 Sine Sine NNP A34005 1577 123 of of IN A34005 1577 124 41d 41d CD A34005 1577 125 42′ 42′ CD A34005 1577 126 , , , A34005 1577 127 then then RB A34005 1577 128 laying lay VBG A34005 1577 129 the the DT A34005 1577 130 Thread Thread NNP A34005 1577 131 over over IN A34005 1577 132 the the DT A34005 1577 133 like like JJ A34005 1577 134 Ark Ark NNP A34005 1577 135 in in IN A34005 1577 136 the the DT A34005 1577 137 Limb Limb NNP A34005 1577 138 , , , A34005 1577 139 it -PRON- PRP A34005 1577 140 will will MD A34005 1577 141 intersect intersect VB A34005 1577 142 the the DT A34005 1577 143 Versed versed JJ A34005 1577 144 sines sine NNS A34005 1577 145 at at IN A34005 1577 146 109d 109d CD A34005 1577 147 18′ 18′ CD A34005 1577 148 the the DT A34005 1577 149 Ark Ark NNP A34005 1577 150 of of IN A34005 1577 151 distance distance NN A34005 1577 152 sought seek VBD A34005 1577 153 to to TO A34005 1577 154 be be VB A34005 1577 155 converted convert VBN A34005 1577 156 into into IN A34005 1577 157 Leagues Leagues NNPS A34005 1577 158 or or CC A34005 1577 159 Miles Miles NNP A34005 1577 160 according accord VBG A34005 1577 161 to to IN A34005 1577 162 the the DT A34005 1577 163 number number NN A34005 1577 164 of of IN A34005 1577 165 Leagues Leagues NNPS A34005 1577 166 or or CC A34005 1577 167 Miles Miles NNP A34005 1577 168 that that WDT A34005 1577 169 answer answer VBP A34005 1577 170 to to IN A34005 1577 171 a a DT A34005 1577 172 degree degree NN A34005 1577 173 in in IN A34005 1577 174 each each DT A34005 1577 175 several several JJ A34005 1577 176 Country country NN A34005 1577 177 . . . A34005 1578 1 Thus thus RB A34005 1578 2 when when WRB A34005 1578 3 we -PRON- PRP A34005 1578 4 have have VBP A34005 1578 5 two two CD A34005 1578 6 sides side NNS A34005 1578 7 with with IN A34005 1578 8 the the DT A34005 1578 9 angle angle NN A34005 1578 10 comprehended comprehend VBN A34005 1578 11 to to TO A34005 1578 12 find find VB A34005 1578 13 the the DT A34005 1578 14 third third JJ A34005 1578 15 side side NN A34005 1578 16 , , , A34005 1578 17 either either CC A34005 1578 18 to to IN A34005 1578 19 half half NN A34005 1578 20 or or CC A34005 1578 21 the the DT A34005 1578 22 whole whole JJ A34005 1578 23 common common JJ A34005 1578 24 Radius Radius NNP A34005 1578 25 without without IN A34005 1578 26 a a DT A34005 1578 27 Line line NN A34005 1578 28 of of IN A34005 1578 29 natural natural JJ A34005 1578 30 Versed versed JJ A34005 1578 31 sines sine NNS A34005 1578 32 from from IN A34005 1578 33 the the DT A34005 1578 34 Center Center NNP A34005 1578 35 , , , A34005 1578 36 or or CC A34005 1578 37 by by IN A34005 1578 38 the the DT A34005 1578 39 Proportions Proportions NNPS A34005 1578 40 in in IN A34005 1578 41 page page NN A34005 1578 42 93 93 CD A34005 1578 43 , , , A34005 1578 44 or or CC A34005 1578 45 a a DT A34005 1578 46 third third JJ A34005 1578 47 way way NN A34005 1578 48 , , , A34005 1578 49 which which WDT A34005 1578 50 I -PRON- PRP A34005 1578 51 pretermit pretermit VBP A34005 1578 52 to to IN A34005 1578 53 the the DT A34005 1578 54 great great JJ A34005 1578 55 Quadrant quadrant NN A34005 1578 56 ; ; : A34005 1578 57 and and CC A34005 1578 58 thus thus RB A34005 1578 59 the the DT A34005 1578 60 Reader reader NN A34005 1578 61 may may MD A34005 1578 62 perceive perceive VB A34005 1578 63 this this DT A34005 1578 64 small small JJ A34005 1578 65 Quadrant Quadrant NNP A34005 1578 66 to to TO A34005 1578 67 be be VB A34005 1578 68 many many JJ A34005 1578 69 ways way NNS A34005 1578 70 both both CC A34005 1578 71 Universall universall JJ A34005 1578 72 and and CC A34005 1578 73 particular particular JJ A34005 1578 74 , , , A34005 1578 75 which which WDT A34005 1578 76 are be VBP A34005 1578 77 of of IN A34005 1578 78 sudden sudden JJ A34005 1578 79 performance performance NN A34005 1578 80 though though IN A34005 1578 81 tedious tedious JJ A34005 1578 82 in in IN A34005 1578 83 expression expression NN A34005 1578 84 . . . A34005 1579 1 Three three CD A34005 1579 2 sides side NNS A34005 1579 3 to to TO A34005 1579 4 find find VB A34005 1579 5 an an DT A34005 1579 6 angle angle NN A34005 1579 7 . . . A34005 1580 1 Each each DT A34005 1580 2 of of IN A34005 1580 3 the the DT A34005 1580 4 Proportions Proportions NNPS A34005 1580 5 in in IN A34005 1580 6 Rectangles Rectangles NNPS A34005 1580 7 and and CC A34005 1580 8 Squares Squares NNPS A34005 1580 9 before before IN A34005 1580 10 delivered deliver VBN A34005 1580 11 for for IN A34005 1580 12 the the DT A34005 1580 13 Tables Tables NNPS A34005 1580 14 , , , A34005 1580 15 may may MD A34005 1580 16 as as IN A34005 1580 17 before before IN A34005 1580 18 suggested suggest VBN A34005 1580 19 be be VB A34005 1580 20 reduced reduce VBN A34005 1580 21 to to IN A34005 1580 22 single single JJ A34005 1580 23 Tearms tearm NNS A34005 1580 24 , , , A34005 1580 25 an an DT A34005 1580 26 instance instance NN A34005 1580 27 shall shall MD A34005 1580 28 be be VB A34005 1580 29 given give VBN A34005 1580 30 in in IN A34005 1580 31 that that DT A34005 1580 32 which which WDT A34005 1580 33 finds find VBZ A34005 1580 34 the the DT A34005 1580 35 Square Square NNP A34005 1580 36 of of IN A34005 1580 37 the the DT A34005 1580 38 sine sine NN A34005 1580 39 of of IN A34005 1580 40 half half PDT A34005 1580 41 the the DT A34005 1580 42 Angle Angle NNP A34005 1580 43 sought seek VBN A34005 1580 44 . . . A34005 1581 1 Add add VB A34005 1581 2 the the DT A34005 1581 3 three three CD A34005 1581 4 sides side NNS A34005 1581 5 of of IN A34005 1581 6 the the DT A34005 1581 7 Triangle Triangle NNP A34005 1581 8 together together RB A34005 1581 9 , , , A34005 1581 10 and and CC A34005 1581 11 from from IN A34005 1581 12 the the DT A34005 1581 13 half half JJ A34005 1581 14 sum sum NN A34005 1581 15 substract substract VB A34005 1581 16 each each DT A34005 1581 17 of of IN A34005 1581 18 the the DT A34005 1581 19 sides side NNS A34005 1581 20 including include VBG A34005 1581 21 the the DT A34005 1581 22 angle angle NN A34005 1581 23 sought seek VBN A34005 1581 24 , , , A34005 1581 25 then then RB A34005 1581 26 it -PRON- PRP A34005 1581 27 will will MD A34005 1581 28 hold hold VB A34005 1581 29 , , , A34005 1581 30 As as IN A34005 1581 31 the the DT A34005 1581 32 sine sine NN A34005 1581 33 of of IN A34005 1581 34 one one CD A34005 1581 35 of of IN A34005 1581 36 the the DT A34005 1581 37 Comprehending Comprehending NNP A34005 1581 38 sides side NNS A34005 1581 39 , , , A34005 1581 40 ( ( -LRB- A34005 1581 41 rather rather RB A34005 1581 42 the the DT A34005 1581 43 greater great JJR A34005 1581 44 that that IN A34005 1581 45 the the DT A34005 1581 46 entrance entrance NN A34005 1581 47 may may MD A34005 1581 48 be be VB A34005 1581 49 Lateral lateral JJ A34005 1581 50 . . . A34005 1581 51 ) ) -RRB- A34005 1582 1 Is be VBZ A34005 1582 2 to to IN A34005 1582 3 the the DT A34005 1582 4 sine sine NN A34005 1582 5 of of IN A34005 1582 6 the the DT A34005 1582 7 difference difference NN A34005 1582 8 of of IN A34005 1582 9 the the DT A34005 1582 10 same same JJ A34005 1582 11 side side NN A34005 1582 12 from from IN A34005 1582 13 the the DT A34005 1582 14 half half JJ A34005 1582 15 sum sum NN A34005 1582 16 : : : A34005 1582 17 So so RB A34005 1582 18 is be VBZ A34005 1582 19 the the DT A34005 1582 20 sine sine NN A34005 1582 21 of of IN A34005 1582 22 the the DT A34005 1582 23 difference difference NN A34005 1582 24 of of IN A34005 1582 25 the the DT A34005 1582 26 other other JJ A34005 1582 27 comprehending comprehending NN A34005 1582 28 side side NN A34005 1582 29 , , , A34005 1582 30 To to IN A34005 1582 31 a a DT A34005 1582 32 fourth fourth JJ A34005 1582 33 sine sine NN A34005 1582 34 , , , A34005 1582 35 Again again RB A34005 1582 36 . . . A34005 1583 1 As as IN A34005 1583 2 the the DT A34005 1583 3 Sine Sine NNP A34005 1583 4 of of IN A34005 1583 5 the the DT A34005 1583 6 other other JJ A34005 1583 7 comprehending comprehending NN A34005 1583 8 side side NN A34005 1583 9 , , , A34005 1583 10 Is be VBZ A34005 1583 11 to to IN A34005 1583 12 that that DT A34005 1583 13 fourth fourth JJ A34005 1583 14 sine sine NN A34005 1583 15 : : : A34005 1583 16 So so RB A34005 1583 17 is be VBZ A34005 1583 18 the the DT A34005 1583 19 Radius Radius NNP A34005 1583 20 , , , A34005 1583 21 To to IN A34005 1583 22 half half PDT A34005 1583 23 the the DT A34005 1583 24 Versed versed JJ A34005 1583 25 sine sine NN A34005 1583 26 of of IN A34005 1583 27 the the DT A34005 1583 28 angle angle NN A34005 1583 29 sought seek VBD A34005 1583 30 , , , A34005 1583 31 And and CC A34005 1583 32 So so RB A34005 1583 33 is be VBZ A34005 1583 34 the the DT A34005 1583 35 Diameter Diameter NNP A34005 1583 36 , , , A34005 1583 37 To to IN A34005 1583 38 the the DT A34005 1583 39 whole whole JJ A34005 1583 40 Versed versed JJ A34005 1583 41 sine sine NN A34005 1583 42 . . . A34005 1584 1 To to TO A34005 1584 2 work work VB A34005 1584 3 this this DT A34005 1584 4 on on IN A34005 1584 5 the the DT A34005 1584 6 Quadrant Quadrant NNP A34005 1584 7 . . . A34005 1585 1 Upon upon IN A34005 1585 2 the the DT A34005 1585 3 first first JJ A34005 1585 4 Tearm Tearm NNP A34005 1585 5 in in IN A34005 1585 6 the the DT A34005 1585 7 Line Line NNP A34005 1585 8 of of IN A34005 1585 9 sines sine NNS A34005 1585 10 being be VBG A34005 1585 11 the the DT A34005 1585 12 greatest great JJS A34005 1585 13 containing contain VBG A34005 1585 14 side side NN A34005 1585 15 , , , A34005 1585 16 enter enter VB A34005 1585 17 the the DT A34005 1585 18 extent extent NN A34005 1585 19 of of IN A34005 1585 20 the the DT A34005 1585 21 second second JJ A34005 1585 22 , , , A34005 1585 23 and and CC A34005 1585 24 to to IN A34005 1585 25 the the DT A34005 1585 26 other other JJ A34005 1585 27 foot foot NN A34005 1585 28 lay lie VBD A34005 1585 29 the the DT A34005 1585 30 Thread thread NN A34005 1585 31 , , , A34005 1585 32 then then RB A34005 1585 33 from from IN A34005 1585 34 the the DT A34005 1585 35 third third JJ A34005 1585 36 Tearm Tearm NNP A34005 1585 37 in in IN A34005 1585 38 the the DT A34005 1585 39 sines sine NNS A34005 1585 40 take take VBP A34005 1585 41 the the DT A34005 1585 42 nearest near JJS A34005 1585 43 distance distance NN A34005 1585 44 to to IN A34005 1585 45 it -PRON- PRP A34005 1585 46 , , , A34005 1585 47 Which which WDT A34005 1585 48 extent extent NN A34005 1585 49 enter enter VBP A34005 1585 50 at at IN A34005 1585 51 the the DT A34005 1585 52 sine sine NN A34005 1585 53 of of IN A34005 1585 54 the the DT A34005 1585 55 first first JJ A34005 1585 56 Tearm Tearm NNP A34005 1585 57 in in IN A34005 1585 58 the the DT A34005 1585 59 second second JJ A34005 1585 60 Proportion proportion NN A34005 1585 61 , , , A34005 1585 62 and and CC A34005 1585 63 to to IN A34005 1585 64 the the DT A34005 1585 65 other other JJ A34005 1585 66 foot foot NN A34005 1585 67 lay lie VBD A34005 1585 68 the the DT A34005 1585 69 Thread thread NN A34005 1585 70 , , , A34005 1585 71 and and CC A34005 1585 72 it -PRON- PRP A34005 1585 73 will will MD A34005 1585 74 cut cut VB A34005 1585 75 the the DT A34005 1585 76 Versed Versed NNP A34005 1585 77 sine sine NN A34005 1585 78 at at IN A34005 1585 79 the the DT A34005 1585 80 angle angle NN A34005 1585 81 sought seek VBN A34005 1585 82 . . . A34005 1586 1 Having have VBG A34005 1586 2 shewed shew VBN A34005 1586 3 how how WRB A34005 1586 4 all all DT A34005 1586 5 Proportions Proportions NNPS A34005 1586 6 may may MD A34005 1586 7 be be VB A34005 1586 8 performed perform VBN A34005 1586 9 upon upon IN A34005 1586 10 the the DT A34005 1586 11 Quadrant Quadrant NNP A34005 1586 12 : : : A34005 1586 13 I -PRON- PRP A34005 1586 14 now now RB A34005 1586 15 proceed proceed VBP A34005 1586 16 to to IN A34005 1586 17 the the DT A34005 1586 18 rest rest NN A34005 1586 19 of of IN A34005 1586 20 the the DT A34005 1586 21 Lines Lines NNPS A34005 1586 22 . . . A34005 1587 1 Of of IN A34005 1587 2 the the DT A34005 1587 3 Line Line NNP A34005 1587 4 of of IN A34005 1587 5 Chords Chords NNPS A34005 1587 6 on on IN A34005 1587 7 the the DT A34005 1587 8 left left JJ A34005 1587 9 edge edge NN A34005 1587 10 of of IN A34005 1587 11 the the DT A34005 1587 12 Backside Backside NNP A34005 1587 13 . . . A34005 1588 1 I -PRON- PRP A34005 1588 2 shall shall MD A34005 1588 3 not not RB A34005 1588 4 at at IN A34005 1588 5 present present JJ A34005 1588 6 speak speak VB A34005 1588 7 any any DT A34005 1588 8 thing thing NN A34005 1588 9 as as IN A34005 1588 10 to to IN A34005 1588 11 the the DT A34005 1588 12 use use NN A34005 1588 13 thereof thereof RB A34005 1588 14 , , , A34005 1588 15 that that RB A34005 1588 16 is be VBZ A34005 1588 17 intended intend VBN A34005 1588 18 to to TO A34005 1588 19 be be VB A34005 1588 20 done do VBN A34005 1588 21 in in IN A34005 1588 22 a a DT A34005 1588 23 Treatise Treatise NNP A34005 1588 24 of of IN A34005 1588 25 the the DT A34005 1588 26 general general JJ A34005 1588 27 Scale Scale NNP A34005 1588 28 ; ; : A34005 1588 29 the the DT A34005 1588 30 principal principal JJ A34005 1588 31 use use NN A34005 1588 32 of of IN A34005 1588 33 a a DT A34005 1588 34 Line Line NNP A34005 1588 35 of of IN A34005 1588 36 Chords Chords NNPS A34005 1588 37 is be VBZ A34005 1588 38 to to TO A34005 1588 39 prick prick VB A34005 1588 40 off off RP A34005 1588 41 readily readily RB A34005 1588 42 the the DT A34005 1588 43 quantity quantity NN A34005 1588 44 of of IN A34005 1588 45 any any DT A34005 1588 46 Arch Arch NNP A34005 1588 47 of of IN A34005 1588 48 a a DT A34005 1588 49 Circle Circle NNP A34005 1588 50 , , , A34005 1588 51 to to TO A34005 1588 52 do do VB A34005 1588 53 which which WDT A34005 1588 54 take take VB A34005 1588 55 the the DT A34005 1588 56 Chord Chord NNP A34005 1588 57 of of IN A34005 1588 58 60d 60d NNPS A34005 1588 59 , , , A34005 1588 60 and and CC A34005 1588 61 draw draw VB A34005 1588 62 a a DT A34005 1588 63 Circle Circle NNP A34005 1588 64 with with IN A34005 1588 65 that that DT A34005 1588 66 Extent extent NN A34005 1588 67 then then RB A34005 1588 68 any any DT A34005 1588 69 Arch Arch NNP A34005 1588 70 being be VBG A34005 1588 71 to to TO A34005 1588 72 be be VB A34005 1588 73 prict prict JJ A34005 1588 74 off off IN A34005 1588 75 it -PRON- PRP A34005 1588 76 is be VBZ A34005 1588 77 to to TO A34005 1588 78 be be VB A34005 1588 79 taken take VBN A34005 1588 80 out out IN A34005 1588 81 of of IN A34005 1588 82 the the DT A34005 1588 83 Line Line NNP A34005 1588 84 of of IN A34005 1588 85 Chords Chords NNPS A34005 1588 86 , , , A34005 1588 87 and and CC A34005 1588 88 to to TO A34005 1588 89 be be VB A34005 1588 90 transferred transfer VBN A34005 1588 91 into into IN A34005 1588 92 the the DT A34005 1588 93 Circle Circle NNP A34005 1588 94 swept sweep VBN A34005 1588 95 , , , A34005 1588 96 this this DT A34005 1588 97 supposeth supposeth NN A34005 1588 98 the the DT A34005 1588 99 Radius radius NN A34005 1588 100 not not RB A34005 1588 101 to to TO A34005 1588 102 vary vary VB A34005 1588 103 . . . A34005 1589 1 But but CC A34005 1589 2 to to TO A34005 1589 3 do do VB A34005 1589 4 it -PRON- PRP A34005 1589 5 to to IN A34005 1589 6 any any DT A34005 1589 7 Radius radius NN A34005 1589 8 that that WDT A34005 1589 9 is be VBZ A34005 1589 10 lesser less JJR A34005 1589 11 take take VB A34005 1589 12 the the DT A34005 1589 13 Semidiameter Semidiameter NNP A34005 1589 14 of of IN A34005 1589 15 the the DT A34005 1589 16 Circle Circle NNP A34005 1589 17 , , , A34005 1589 18 and and CC A34005 1589 19 enter enter VB A34005 1589 20 it -PRON- PRP A34005 1589 21 at at IN A34005 1589 22 the the DT A34005 1589 23 Chord Chord NNP A34005 1589 24 of of IN A34005 1589 25 60d 60d NNPS A34005 1589 26 laying lay VBG A34005 1589 27 the the DT A34005 1589 28 Thread thread NN A34005 1589 29 to to IN A34005 1589 30 the the DT A34005 1589 31 other other JJ A34005 1589 32 foot foot NN A34005 1589 33 , , , A34005 1589 34 and and CC A34005 1589 35 the the DT A34005 1589 36 nearest near JJS A34005 1589 37 distances distance NNS A34005 1589 38 to to IN A34005 1589 39 the the DT A34005 1589 40 Thread thread NN A34005 1589 41 will will MD A34005 1589 42 be be VB A34005 1589 43 Chords Chords NNPS A34005 1589 44 to to IN A34005 1589 45 the the DT A34005 1589 46 Semidiameter Semidiameter NNP A34005 1589 47 assigned assign VBN A34005 1589 48 , , , A34005 1589 49 and and CC A34005 1589 50 the the DT A34005 1589 51 Converse Converse NNP A34005 1589 52 will will MD A34005 1589 53 measure measure VB A34005 1589 54 the the DT A34005 1589 55 Chord Chord NNP A34005 1589 56 of of IN A34005 1589 57 any any DT A34005 1589 58 Arch Arch NNP A34005 1589 59 by by IN A34005 1589 60 a a DT A34005 1589 61 Parralel Parralel NNP A34005 1589 62 entrance entrance NN A34005 1589 63 . . . A34005 1590 1 A a DT A34005 1590 2 Chord Chord NNP A34005 1590 3 may may MD A34005 1590 4 be be VB A34005 1590 5 taken take VBN A34005 1590 6 off off RP A34005 1590 7 though though IN A34005 1590 8 no no DT A34005 1590 9 Line Line NNP A34005 1590 10 of of IN A34005 1590 11 Chords Chords NNPS A34005 1590 12 be be VB A34005 1590 13 graduated graduate VBN A34005 1590 14 . . . A34005 1591 1 The the DT A34005 1591 2 Bead Bead NNP A34005 1591 3 wheresoever wheresoever NN A34005 1591 4 it -PRON- PRP A34005 1591 5 be be VB A34005 1591 6 set set VBN A34005 1591 7 carryed carry VBN A34005 1591 8 from from IN A34005 1591 9 one one CD A34005 1591 10 edge edge NN A34005 1591 11 of of IN A34005 1591 12 the the DT A34005 1591 13 Quadrant Quadrant NNP A34005 1591 14 to to IN A34005 1591 15 the the DT A34005 1591 16 other other JJ A34005 1591 17 , , , A34005 1591 18 the the DT A34005 1591 19 Thread Thread NNP A34005 1591 20 being be VBG A34005 1591 21 extended extend VBN A34005 1591 22 doth doth NN A34005 1591 23 describe describe VB A34005 1591 24 the the DT A34005 1591 25 Quadrant Quadrant NNP A34005 1591 26 of of IN A34005 1591 27 a a DT A34005 1591 28 Circle Circle NNP A34005 1591 29 , , , A34005 1591 30 if if IN A34005 1591 31 therefore therefore RB A34005 1591 32 extending extend VBG A34005 1591 33 the the DT A34005 1591 34 Thread thread NN A34005 1591 35 down down RB A34005 1591 36 one one CD A34005 1591 37 edge edge NN A34005 1591 38 of of IN A34005 1591 39 the the DT A34005 1591 40 Quadrant Quadrant NNP A34005 1591 41 you -PRON- PRP A34005 1591 42 set set VBD A34005 1591 43 the the DT A34005 1591 44 Bead Bead NNP A34005 1591 45 to to IN A34005 1591 46 the the DT A34005 1591 47 distance distance NN A34005 1591 48 of of IN A34005 1591 49 the the DT A34005 1591 50 Radius Radius NNP A34005 1591 51 ( ( -LRB- A34005 1591 52 or or CC A34005 1591 53 Semidiameter Semidiameter NNP A34005 1591 54 of of IN A34005 1591 55 the the DT A34005 1591 56 Circle Circle NNP A34005 1591 57 swept sweep VBN A34005 1591 58 ) ) -RRB- A34005 1591 59 from from IN A34005 1591 60 the the DT A34005 1591 61 Center Center NNP A34005 1591 62 , , , A34005 1591 63 and and CC A34005 1591 64 at at IN A34005 1591 65 it -PRON- PRP A34005 1591 66 set set VBD A34005 1591 67 down down RP A34005 1591 68 one one CD A34005 1591 69 foot foot NN A34005 1591 70 of of IN A34005 1591 71 the the DT A34005 1591 72 Compasses Compasses NNPS A34005 1591 73 , , , A34005 1591 74 and and CC A34005 1591 75 lay lie VBD A34005 1591 76 the the DT A34005 1591 77 Thread thread NN A34005 1591 78 kept keep VBN A34005 1591 79 at at IN A34005 1591 80 a a DT A34005 1591 81 certainty certainty NN A34005 1591 82 in in IN A34005 1591 83 stretching stretch VBG A34005 1591 84 over over IN A34005 1591 85 the the DT A34005 1591 86 Limb Limb NNP A34005 1591 87 to to IN A34005 1591 88 any any DT A34005 1591 89 Arch Arch NNP A34005 1591 90 , , , A34005 1591 91 & & CC A34005 1591 92 then then RB A34005 1591 93 open open VBP A34005 1591 94 the the DT A34005 1591 95 Compasses Compasses NNPS A34005 1591 96 to to IN A34005 1591 97 the the DT A34005 1591 98 Distance Distance NNP A34005 1591 99 of of IN A34005 1591 100 the the DT A34005 1591 101 Bead Bead NNP A34005 1591 102 , , , A34005 1591 103 you -PRON- PRP A34005 1591 104 shall shall MD A34005 1591 105 take take VB A34005 1591 106 out out RP A34005 1591 107 the the DT A34005 1591 108 Chord Chord NNP A34005 1591 109 of of IN A34005 1591 110 the the DT A34005 1591 111 said say VBD A34005 1591 112 Arch Arch NNP A34005 1591 113 . . . A34005 1592 1 A a DT A34005 1592 2 Chord Chord NNP A34005 1592 3 may may MD A34005 1592 4 very very RB A34005 1592 5 conveniently conveniently RB A34005 1592 6 be be VB A34005 1592 7 taken take VBN A34005 1592 8 off off RP A34005 1592 9 from from IN A34005 1592 10 any any DT A34005 1592 11 Circle Circle NNP A34005 1592 12 swept sweep VBD A34005 1592 13 Concentrick Concentrick NNP A34005 1592 14 to to IN A34005 1592 15 the the DT A34005 1592 16 Limbe Limbe NNP A34005 1592 17 , , , A34005 1592 18 and and CC A34005 1592 19 divers diver NNS A34005 1592 20 such such JJ A34005 1592 21 there there EX A34005 1592 22 are be VBP A34005 1592 23 upon upon IN A34005 1592 24 both both DT A34005 1592 25 sides side NNS A34005 1592 26 of of IN A34005 1592 27 this this DT A34005 1592 28 Quadrant quadrant NN A34005 1592 29 ; ; : A34005 1592 30 Sweep sweep VB A34005 1592 31 a a DT A34005 1592 32 Circle Circle NNP A34005 1592 33 of of IN A34005 1592 34 the the DT A34005 1592 35 like like JJ A34005 1592 36 Radius Radius NNP A34005 1592 37 on on IN A34005 1592 38 Paper Paper NNP A34005 1592 39 as as IN A34005 1592 40 that that DT A34005 1592 41 on on IN A34005 1592 42 the the DT A34005 1592 43 Quadrant Quadrant NNP A34005 1592 44 , , , A34005 1592 45 and and CC A34005 1592 46 then then RB A34005 1592 47 setting set VBG A34005 1592 48 one one CD A34005 1592 49 foot foot NN A34005 1592 50 to to IN A34005 1592 51 the the DT A34005 1592 52 Intersection intersection NN A34005 1592 53 of of IN A34005 1592 54 the the DT A34005 1592 55 Concentrick Concentrick NNP A34005 1592 56 Circle Circle NNP A34005 1592 57 with with IN A34005 1592 58 the the DT A34005 1592 59 right right JJ A34005 1592 60 edge edge NN A34005 1592 61 , , , A34005 1592 62 the the DT A34005 1592 63 Thread Thread NNP A34005 1592 64 being be VBG A34005 1592 65 laid lay VBN A34005 1592 66 over over IN A34005 1592 67 any any DT A34005 1592 68 Arch Arch NNP A34005 1592 69 whatsoever whatsoever RB A34005 1592 70 in in IN A34005 1592 71 the the DT A34005 1592 72 Limbe Limbe NNP A34005 1592 73 , , , A34005 1592 74 take take VB A34005 1592 75 the the DT A34005 1592 76 distance distance NN A34005 1592 77 to to IN A34005 1592 78 the the DT A34005 1592 79 Intersection intersection NN A34005 1592 80 of of IN A34005 1592 81 the the DT A34005 1592 82 Thread Thread NNP A34005 1592 83 with with IN A34005 1592 84 the the DT A34005 1592 85 Concentrick Concentrick NNP A34005 1592 86 Circle Circle NNP A34005 1592 87 , , , A34005 1592 88 and and CC A34005 1592 89 transform transform VB A34005 1592 90 the the DT A34005 1592 91 said say VBN A34005 1592 92 Extent extent NN A34005 1592 93 into into IN A34005 1592 94 the the DT A34005 1592 95 Circle Circle NNP A34005 1592 96 drawn draw VBN A34005 1592 97 upon upon IN A34005 1592 98 Paper Paper NNP A34005 1592 99 . . . A34005 1593 1 Of of IN A34005 1593 2 the the DT A34005 1593 3 Versed versed JJ A34005 1593 4 Sines Sines NNPS A34005 1593 5 Augmented augment VBN A34005 1593 6 . . . A34005 1594 1 These these DT A34005 1594 2 are be VBP A34005 1594 3 to to TO A34005 1594 4 be be VB A34005 1594 5 used use VBN A34005 1594 6 with with IN A34005 1594 7 fitted fit VBN A34005 1594 8 Scales Scales NNP A34005 1594 9 thereto thereto NN A34005 1594 10 , , , A34005 1594 11 to to TO A34005 1594 12 stand stand VB A34005 1594 13 upon upon IN A34005 1594 14 a a DT A34005 1594 15 loose loose JJ A34005 1594 16 Ruler ruler NN A34005 1594 17 for for IN A34005 1594 18 the the DT A34005 1594 19 ready ready JJ A34005 1594 20 and and CC A34005 1594 21 more more RBR A34005 1594 22 Exact exact JJ A34005 1594 23 finding find VBG A34005 1594 24 the the DT A34005 1594 25 Hour Hour NNP A34005 1594 26 and and CC A34005 1594 27 Azimuth Azimuth NNP A34005 1594 28 near near IN A34005 1594 29 Noon Noon NNP A34005 1594 30 , , , A34005 1594 31 or or CC A34005 1594 32 at at IN A34005 1594 33 other other JJ A34005 1594 34 times time NNS A34005 1594 35 , , , A34005 1594 36 and and CC A34005 1594 37 shall shall MD A34005 1594 38 be be VB A34005 1594 39 treated treat VBN A34005 1594 40 of of IN A34005 1594 41 in in IN A34005 1594 42 the the DT A34005 1594 43 use use NN A34005 1594 44 of of IN A34005 1594 45 the the DT A34005 1594 46 Diagonal Diagonal NNP A34005 1594 47 Scale Scale NNP A34005 1594 48 . . . A34005 1595 1 Of of IN A34005 1595 2 the the DT A34005 1595 3 Line Line NNP A34005 1595 4 of of IN A34005 1595 5 Latitudes Latitudes NNP A34005 1595 6 and and CC A34005 1595 7 Scale Scale NNP A34005 1595 8 of of IN A34005 1595 9 Hours hour NNS A34005 1595 10 on on IN A34005 1595 11 the the DT A34005 1595 12 spare spare JJ A34005 1595 13 edges edge NNS A34005 1595 14 of of IN A34005 1595 15 the the DT A34005 1595 16 foreside foreside NN A34005 1595 17 . . . A34005 1596 1 The the DT A34005 1596 2 use use NN A34005 1596 3 of of IN A34005 1596 4 these these DT A34005 1596 5 Scales scale NNS A34005 1596 6 are be VBP A34005 1596 7 for for IN A34005 1596 8 the the DT A34005 1596 9 ready ready JJ A34005 1596 10 pricking prick VBG A34005 1596 11 down down RP A34005 1596 12 of of IN A34005 1596 13 any any DT A34005 1596 14 Diall Diall NNP A34005 1596 15 that that WDT A34005 1596 16 hath hath NN A34005 1596 17 a a DT A34005 1596 18 Center Center NNP A34005 1596 19 in in IN A34005 1596 20 an an DT A34005 1596 21 Equicrural Equicrural NNP A34005 1596 22 Triangle Triangle NNP A34005 1596 23 from from IN A34005 1596 24 the the DT A34005 1596 25 Substile Substile NNP A34005 1596 26 , , , A34005 1596 27 as as IN A34005 1596 28 shall shall MD A34005 1596 29 be be VB A34005 1596 30 shewed shew VBN A34005 1596 31 in in IN A34005 1596 32 the the DT A34005 1596 33 Use Use NNP A34005 1596 34 of of IN A34005 1596 35 the the DT A34005 1596 36 great great JJ A34005 1596 37 Quadrant Quadrant NNP A34005 1596 38 , , , A34005 1596 39 though though IN A34005 1596 40 the the DT A34005 1596 41 Schems Schems NNPS A34005 1596 42 be be VB A34005 1596 43 fitted fit VBN A34005 1596 44 to to IN A34005 1596 45 small small JJ A34005 1596 46 Scales Scales NNPS A34005 1596 47 . . . A34005 1597 1 The the DT A34005 1597 2 Scale scale NN A34005 1597 3 of of IN A34005 1597 4 Hours hour NNS A34005 1597 5 standing stand VBG A34005 1597 6 on on IN A34005 1597 7 the the DT A34005 1597 8 Edge edge NN A34005 1597 9 on on IN A34005 1597 10 the the DT A34005 1597 11 foreside foreside NN A34005 1597 12 may may MD A34005 1597 13 very very RB A34005 1597 14 well well RB A34005 1597 15 be be VB A34005 1597 16 supplyed supply VBN A34005 1597 17 from from IN A34005 1597 18 thence thence NN A34005 1597 19 to to IN A34005 1597 20 another another DT A34005 1597 21 Radius Radius NNP A34005 1597 22 , , , A34005 1597 23 as as IN A34005 1597 24 shall shall MD A34005 1597 25 in in IN A34005 1597 26 due due JJ A34005 1597 27 Time Time NNP A34005 1597 28 be be VB A34005 1597 29 shewed shew VBN A34005 1597 30 , , , A34005 1597 31 though though IN A34005 1597 32 it -PRON- PRP A34005 1597 33 do do VBP A34005 1597 34 not not RB A34005 1597 35 proceed proceed VB A34005 1597 36 from from IN A34005 1597 37 the the DT A34005 1597 38 Center Center NNP A34005 1597 39 , , , A34005 1597 40 and and CC A34005 1597 41 therefore therefore RB A34005 1597 42 may may MD A34005 1597 43 be be VB A34005 1597 44 spared spare VBN A34005 1597 45 out out IN A34005 1597 46 of of IN A34005 1597 47 the the DT A34005 1597 48 Limbe Limbe NNP A34005 1597 49 on on IN A34005 1597 50 the the DT A34005 1597 51 Backside backside NN A34005 1597 52 . . . A34005 1598 1 The the DT A34005 1598 2 Description description NN A34005 1598 3 of of IN A34005 1598 4 the the DT A34005 1598 5 Diagonal Diagonal NNP A34005 1598 6 Scale Scale NNP A34005 1598 7 . . . A34005 1599 1 THe the DT A34005 1599 2 particular particular JJ A34005 1599 3 Scales Scales NNP A34005 1599 4 handled handle VBN A34005 1599 5 in in IN A34005 1599 6 Page page NN A34005 1599 7 181 181 CD A34005 1599 8 would would MD A34005 1599 9 find find VB A34005 1599 10 the the DT A34005 1599 11 hour hour NN A34005 1599 12 and and CC A34005 1599 13 Azimuth Azimuth NNP A34005 1599 14 in in IN A34005 1599 15 the the DT A34005 1599 16 equal equal JJ A34005 1599 17 Limbe Limbe NNP A34005 1599 18 without without IN A34005 1599 19 doubling double VBG A34005 1599 20 the the DT A34005 1599 21 Extent extent NN A34005 1599 22 , , , A34005 1599 23 if if IN A34005 1599 24 laying lay VBG A34005 1599 25 the the DT A34005 1599 26 Thread Thread NNP A34005 1599 27 over over IN A34005 1599 28 the the DT A34005 1599 29 Cosine Cosine NNP A34005 1599 30 of of IN A34005 1599 31 the the DT A34005 1599 32 Declination Declination NNP A34005 1599 33 in in IN A34005 1599 34 the the DT A34005 1599 35 lesser less JJR A34005 1599 36 sines sin VBZ A34005 1599 37 when when WRB A34005 1599 38 the the DT A34005 1599 39 hour hour NN A34005 1599 40 is be VBZ A34005 1599 41 sought seek VBN A34005 1599 42 ; ; : A34005 1599 43 or or CC A34005 1599 44 over over IN A34005 1599 45 the the DT A34005 1599 46 Cosine Cosine NNP A34005 1599 47 of of IN A34005 1599 48 the the DT A34005 1599 49 Altitude altitude NN A34005 1599 50 when when WRB A34005 1599 51 the the DT A34005 1599 52 Azimuth Azimuth NNP A34005 1599 53 is be VBZ A34005 1599 54 sought seek VBN A34005 1599 55 , , , A34005 1599 56 it -PRON- PRP A34005 1599 57 be be VB A34005 1599 58 minded minded JJ A34005 1599 59 what what WP A34005 1599 60 Ark Ark NNP A34005 1599 61 of of IN A34005 1599 62 the the DT A34005 1599 63 Limbe Limbe NNP A34005 1599 64 the the DT A34005 1599 65 Thread Thread NNP A34005 1599 66 intersects intersect NNS A34005 1599 67 , , , A34005 1599 68 and and CC A34005 1599 69 then then RB A34005 1599 70 make make VB A34005 1599 71 the the DT A34005 1599 72 entrance entrance NN A34005 1599 73 of of IN A34005 1599 74 one one CD A34005 1599 75 foot foot NN A34005 1599 76 of of IN A34005 1599 77 the the DT A34005 1599 78 Extent extent NN A34005 1599 79 at at IN A34005 1599 80 the the DT A34005 1599 81 like like JJ A34005 1599 82 Ark Ark NNP A34005 1599 83 in in IN A34005 1599 84 the the DT A34005 1599 85 sines sine NNS A34005 1599 86 laying lay VBG A34005 1599 87 the the DT A34005 1599 88 Thread Thread NNP A34005 1599 89 to to IN A34005 1599 90 the the DT A34005 1599 91 other other JJ A34005 1599 92 foot foot NN A34005 1599 93 according accord VBG A34005 1599 94 to to IN A34005 1599 95 nearest near JJS A34005 1599 96 distance distance NN A34005 1599 97 . . . A34005 1600 1 But but CC A34005 1600 2 because because IN A34005 1600 3 these these DT A34005 1600 4 Scales scale NNS A34005 1600 5 are be VBP A34005 1600 6 more more RBR A34005 1600 7 convenient convenient JJ A34005 1600 8 being be VBG A34005 1600 9 twice twice RB A34005 1600 10 as as RB A34005 1600 11 long long JJ A34005 1600 12 , , , A34005 1600 13 there there EX A34005 1600 14 is be VBZ A34005 1600 15 accordingly accordingly RB A34005 1600 16 a a DT A34005 1600 17 Diagonal Diagonal NNP A34005 1600 18 Scale Scale NNP A34005 1600 19 fitted fit VBD A34005 1600 20 to to TO A34005 1600 21 serve serve VB A34005 1600 22 for for IN A34005 1600 23 our -PRON- PRP$ A34005 1600 24 English English NNP A34005 1600 25 Region Region NNP A34005 1600 26 , , , A34005 1600 27 and and CC A34005 1600 28 may may MD A34005 1600 29 be be VB A34005 1600 30 accommodated accommodate VBN A34005 1600 31 to to IN A34005 1600 32 any any DT A34005 1600 33 5 5 CD A34005 1600 34 or or CC A34005 1600 35 6 6 CD A34005 1600 36 degrees degree NNS A34005 1600 37 of of IN A34005 1600 38 Latitude Latitude NNP A34005 1600 39 , , , A34005 1600 40 and and CC A34005 1600 41 placed place VBD A34005 1600 42 conveniently conveniently RB A34005 1600 43 on on IN A34005 1600 44 any any DT A34005 1600 45 Instrument Instrument NNP A34005 1600 46 for for IN A34005 1600 47 Surveigh Surveigh NNP A34005 1600 48 to to TO A34005 1600 49 give give VB A34005 1600 50 the the DT A34005 1600 51 hour hour NN A34005 1600 52 and and CC A34005 1600 53 Azimuth Azimuth NNP A34005 1600 54 in in IN A34005 1600 55 the the DT A34005 1600 56 Limbe Limbe NNP A34005 1600 57 of of IN A34005 1600 58 the the DT A34005 1600 59 Instrument Instrument NNP A34005 1600 60 or or CC A34005 1600 61 on on IN A34005 1600 62 the the DT A34005 1600 63 frame frame NN A34005 1600 64 of of IN A34005 1600 65 the the DT A34005 1600 66 plain plain JJ A34005 1600 67 Table table NN A34005 1600 68 . . . A34005 1601 1 And and CC A34005 1601 2 here here RB A34005 1601 3 I -PRON- PRP A34005 1601 4 am be VBP A34005 1601 5 to to TO A34005 1601 6 intimate intimate VB A34005 1601 7 that that IN A34005 1601 8 either either CC A34005 1601 9 the the DT A34005 1601 10 hour hour NN A34005 1601 11 or or CC A34005 1601 12 Azimuth Azimuth NNP A34005 1601 13 Scale Scale NNP A34005 1601 14 before before IN A34005 1601 15 described describe VBN A34005 1601 16 on on IN A34005 1601 17 the the DT A34005 1601 18 small small JJ A34005 1601 19 Quadrant Quadrant NNP A34005 1601 20 , , , A34005 1601 21 will will MD A34005 1601 22 serve serve VB A34005 1601 23 to to IN A34005 1601 24 finde finde NNP A34005 1601 25 both both CC A34005 1601 26 the the DT A34005 1601 27 Hour Hour NNP A34005 1601 28 and and CC A34005 1601 29 Azimuth Azimuth NNP A34005 1601 30 , , , A34005 1601 31 as as RB A34005 1601 32 conveniently conveniently RB A34005 1601 33 as as IN A34005 1601 34 either either RB A34005 1601 35 ; ; : A34005 1601 36 the the DT A34005 1601 37 foundation foundation NN A34005 1601 38 whereof whereof NNP A34005 1601 39 is be VBZ A34005 1601 40 , , , A34005 1601 41 that that IN A34005 1601 42 the the DT A34005 1601 43 same same JJ A34005 1601 44 Proportion proportion NN A34005 1601 45 demonstrated demonstrate VBD A34005 1601 46 from from IN A34005 1601 47 the the DT A34005 1601 48 Analemma Analemma NNP A34005 1601 49 that that WDT A34005 1601 50 finds find VBZ A34005 1601 51 the the DT A34005 1601 52 hour hour NN A34005 1601 53 from from IN A34005 1601 54 six six CD A34005 1601 55 being be VBG A34005 1601 56 applyed apply VBN A34005 1601 57 to to IN A34005 1601 58 other other JJ A34005 1601 59 sides side NNS A34005 1601 60 of of IN A34005 1601 61 the the DT A34005 1601 62 Triangle Triangle NNP A34005 1601 63 will will MD A34005 1601 64 also also RB A34005 1601 65 find find VB A34005 1601 66 the the DT A34005 1601 67 Azimuth Azimuth NNP A34005 1601 68 from from IN A34005 1601 69 the the DT A34005 1601 70 East East NNP A34005 1601 71 or or CC A34005 1601 72 West West NNP A34005 1601 73 , , , A34005 1601 74 an an DT A34005 1601 75 instance instance NN A34005 1601 76 whereof whereof IN A34005 1601 77 I -PRON- PRP A34005 1601 78 give give VBP A34005 1601 79 in in IN A34005 1601 80 the the DT A34005 1601 81 Use Use NNP A34005 1601 82 of of IN A34005 1601 83 a a DT A34005 1601 84 great great JJ A34005 1601 85 Quadrant Quadrant NNP A34005 1601 86 for for IN A34005 1601 87 finding find VBG A34005 1601 88 the the DT A34005 1601 89 Azimuth Azimuth NNP A34005 1601 90 when when WRB A34005 1601 91 the the DT A34005 1601 92 Declination declination NN A34005 1601 93 of of IN A34005 1601 94 the the DT A34005 1601 95 Sun Sun NNP A34005 1601 96 or or CC A34005 1601 97 Stars Stars NNP A34005 1601 98 exceeds exceed VBZ A34005 1601 99 the the DT A34005 1601 100 Latitude Latitude NNP A34005 1601 101 of of IN A34005 1601 102 the the DT A34005 1601 103 place place NN A34005 1601 104 . . . A34005 1602 1 By by IN A34005 1602 2 the the DT A34005 1602 3 like like JJ A34005 1602 4 parity parity NN A34005 1602 5 of of IN A34005 1602 6 reason reason NN A34005 1602 7 the the DT A34005 1602 8 Proportion Proportion NNP A34005 1602 9 that that WDT A34005 1602 10 found find VBD A34005 1602 11 the the DT A34005 1602 12 Azimuth Azimuth NNP A34005 1602 13 is be VBZ A34005 1602 14 a a DT A34005 1602 15 general general JJ A34005 1602 16 Proportion proportion NN A34005 1602 17 to to TO A34005 1602 18 find find VB A34005 1602 19 an an DT A34005 1602 20 angle angle NN A34005 1602 21 , , , A34005 1602 22 when when WRB A34005 1602 23 the the DT A34005 1602 24 threee threee NNP A34005 1602 25 sides side NNS A34005 1602 26 are be VBP A34005 1602 27 given give VBN A34005 1602 28 the the DT A34005 1602 29 Canon Canon NNP A34005 1602 30 will will MD A34005 1602 31 be be VB A34005 1602 32 , , , A34005 1602 33 As as IN A34005 1602 34 the the DT A34005 1602 35 Cosine Cosine NNP A34005 1602 36 of of IN A34005 1602 37 one one CD A34005 1602 38 of of IN A34005 1602 39 the the DT A34005 1602 40 including include VBG A34005 1602 41 sides side NNS A34005 1602 42 , , , A34005 1602 43 Is be VBZ A34005 1602 44 to to IN A34005 1602 45 the the DT A34005 1602 46 Radius radius NN A34005 1602 47 : : : A34005 1602 48 So so RB A34005 1602 49 is be VBZ A34005 1602 50 the the DT A34005 1602 51 Cosine Cosine NNP A34005 1602 52 of of IN A34005 1602 53 the the DT A34005 1602 54 side side NN A34005 1602 55 Opposite opposite RB A34005 1602 56 to to IN A34005 1602 57 the the DT A34005 1602 58 angle angle NN A34005 1602 59 sought seek VBN A34005 1602 60 , , , A34005 1602 61 To to IN A34005 1602 62 a a DT A34005 1602 63 fourth fourth JJ A34005 1602 64 a a DT A34005 1602 65 Sine Sine NNP A34005 1602 66 or or CC A34005 1602 67 Secant Secant NNP A34005 1602 68 . . . A34005 1603 1 Again again RB A34005 1603 2 . . . A34005 1604 1 As as IN A34005 1604 2 the the DT A34005 1604 3 second second JJ A34005 1604 4 including include VBG A34005 1604 5 side side NN A34005 1604 6 , , , A34005 1604 7 Is be VBZ A34005 1604 8 to to IN A34005 1604 9 the the DT A34005 1604 10 Cotangent Cotangent NNP A34005 1604 11 of of IN A34005 1604 12 the the DT A34005 1604 13 first first JJ A34005 1604 14 including include VBG A34005 1604 15 side side NN A34005 1604 16 : : : A34005 1604 17 So so CC A34005 1604 18 when when WRB A34005 1604 19 any any DT A34005 1604 20 one one CD A34005 1604 21 of of IN A34005 1604 22 the the DT A34005 1604 23 sides side NNS A34005 1604 24 is be VBZ A34005 1604 25 greater great JJR A34005 1604 26 then then RB A34005 1604 27 a a DT A34005 1604 28 Quadrant Quadrant NNP A34005 1604 29 is be VBZ A34005 1604 30 the the DT A34005 1604 31 sum sum NN A34005 1604 32 , , , A34005 1604 33 but but CC A34005 1604 34 when when WRB A34005 1604 35 all all DT A34005 1604 36 less less JJR A34005 1604 37 the the DT A34005 1604 38 difference difference NN A34005 1604 39 between between IN A34005 1604 40 the the DT A34005 1604 41 4th 4th NNP A34005 1604 42 abovesaid abovesaid NNP A34005 1604 43 , , , A34005 1604 44 and and CC A34005 1604 45 the the DT A34005 1604 46 Cosine Cosine NNP A34005 1604 47 of of IN A34005 1604 48 the the DT A34005 1604 49 second second JJ A34005 1604 50 Includer Includer NNP A34005 1604 51 , , , A34005 1604 52 To to IN A34005 1604 53 the the DT A34005 1604 54 Cosine Cosine NNP A34005 1604 55 of of IN A34005 1604 56 the the DT A34005 1604 57 angle angle NN A34005 1604 58 sought seek VBN A34005 1604 59 . . . A34005 1605 1 Wee Wee NNP A34005 1605 2 do do VBP A34005 1605 3 suppose suppose VB A34005 1605 4 but but CC A34005 1605 5 one one CD A34005 1605 6 of of IN A34005 1605 7 the the DT A34005 1605 8 three three CD A34005 1605 9 sides side NNS A34005 1605 10 given give VBN A34005 1605 11 to to TO A34005 1605 12 be be VB A34005 1605 13 greater great JJR A34005 1605 14 then then RB A34005 1605 15 a a DT A34005 1605 16 Quadrant Quadrant NNP A34005 1605 17 , , , A34005 1605 18 if if IN A34005 1605 19 there there EX A34005 1605 20 be be VBP A34005 1605 21 any any DT A34005 1605 22 such such JJ A34005 1605 23 it -PRON- PRP A34005 1605 24 subtends subtend VBZ A34005 1605 25 an an DT A34005 1605 26 Obtuse Obtuse NNP A34005 1605 27 angle angle NN A34005 1605 28 , , , A34005 1605 29 and and CC A34005 1605 30 both both CC A34005 1605 31 the the DT A34005 1605 32 other other JJ A34005 1605 33 sides side NNS A34005 1605 34 being be VBG A34005 1605 35 less less JJR A34005 1605 36 then then RB A34005 1605 37 Quadrants Quadrants NNPS A34005 1605 38 subtend subtend VB A34005 1605 39 Acute Acute NNP A34005 1605 40 Angles Angles NNPS A34005 1605 41 . . . A34005 1606 1 When when WRB A34005 1606 2 the the DT A34005 1606 3 4th 4th NN A34005 1606 4 Sine Sine NNP A34005 1606 5 is be VBZ A34005 1606 6 less less JJR A34005 1606 7 then then RB A34005 1606 8 the the DT A34005 1606 9 Cosine Cosine NNP A34005 1606 10 of of IN A34005 1606 11 the the DT A34005 1606 12 second second JJ A34005 1606 13 Includer Includer NNP A34005 1606 14 , , , A34005 1606 15 the the DT A34005 1606 16 Angle Angle NNP A34005 1606 17 sought seek VBD A34005 1606 18 is be VBZ A34005 1606 19 Obtuse Obtuse NNP A34005 1606 20 , , , A34005 1606 21 other other JJ A34005 1606 22 ways way NNS A34005 1606 23 Acute acute JJ A34005 1606 24 . . . A34005 1607 1 Hence hence RB A34005 1607 2 the the DT A34005 1607 3 peculiar peculiar JJ A34005 1607 4 Proportion proportion NN A34005 1607 5 educed educe VBN A34005 1607 6 for for IN A34005 1607 7 the the DT A34005 1607 8 hour hour NN A34005 1607 9 will will MD A34005 1607 10 be be VB A34005 1607 11 , , , A34005 1607 12 As as IN A34005 1607 13 the the DT A34005 1607 14 Sine Sine NNP A34005 1607 15 of of IN A34005 1607 16 the the DT A34005 1607 17 Latitude Latitude NNP A34005 1607 18 , , , A34005 1607 19 Is be VBZ A34005 1607 20 to to IN A34005 1607 21 the the DT A34005 1607 22 Radius radius NN A34005 1607 23 : : : A34005 1607 24 So so RB A34005 1607 25 is be VBZ A34005 1607 26 the the DT A34005 1607 27 Sine Sine NNP A34005 1607 28 of of IN A34005 1607 29 the the DT A34005 1607 30 Altitude altitude NN A34005 1607 31 , , , A34005 1607 32 To to IN A34005 1607 33 a a DT A34005 1607 34 4th 4th NN A34005 1607 35 a a DT A34005 1607 36 Sine Sine NNP A34005 1607 37 or or CC A34005 1607 38 Secant Secant NNP A34005 1607 39 . . . A34005 1608 1 Again again RB A34005 1608 2 . . . A34005 1609 1 As as IN A34005 1609 2 the the DT A34005 1609 3 Cosine Cosine NNP A34005 1609 4 of of IN A34005 1609 5 the the DT A34005 1609 6 Declination Declination NNP A34005 1609 7 , , , A34005 1609 8 Is be VBZ A34005 1609 9 to to IN A34005 1609 10 the the DT A34005 1609 11 Tangent Tangent NNP A34005 1609 12 of of IN A34005 1609 13 the the DT A34005 1609 14 Latitude Latitude NNP A34005 1609 15 , , , A34005 1609 16 So so CC A34005 1609 17 in in IN A34005 1609 18 Summer Summer NNP A34005 1609 19 is be VBZ A34005 1609 20 the the DT A34005 1609 21 difference difference NN A34005 1609 22 , , , A34005 1609 23 but but CC A34005 1609 24 in in IN A34005 1609 25 Winter winter NN A34005 1609 26 the the DT A34005 1609 27 sum sum NN A34005 1609 28 of of IN A34005 1609 29 the the DT A34005 1609 30 sines sine NNS A34005 1609 31 of of IN A34005 1609 32 the the DT A34005 1609 33 Declination Declination NNP A34005 1609 34 of of IN A34005 1609 35 the the DT A34005 1609 36 Sun Sun NNP A34005 1609 37 or or CC A34005 1609 38 Stars Stars NNP A34005 1609 39 , , , A34005 1609 40 and and CC A34005 1609 41 of of IN A34005 1609 42 the the DT A34005 1609 43 4th 4th JJ A34005 1609 44 Sine Sine NNP A34005 1609 45 , , , A34005 1609 46 To to IN A34005 1609 47 the the DT A34005 1609 48 Sine Sine NNP A34005 1609 49 of of IN A34005 1609 50 the the DT A34005 1609 51 hour hour NN A34005 1609 52 from from IN A34005 1609 53 six six CD A34005 1609 54 . . . A34005 1610 1 When when WRB A34005 1610 2 the the DT A34005 1610 3 4th 4th JJ A34005 1610 4 Ark Ark NNP A34005 1610 5 is be VBZ A34005 1610 6 less less JJR A34005 1610 7 then then RB A34005 1610 8 the the DT A34005 1610 9 Declination declination NN A34005 1610 10 the the DT A34005 1610 11 hour hour NN A34005 1610 12 is be VBZ A34005 1610 13 Obtuse Obtuse NNP A34005 1610 14 , , , A34005 1610 15 when when WRB A34005 1610 16 greater great JJR A34005 1610 17 Acute Acute NNP A34005 1610 18 , , , A34005 1610 19 and and CC A34005 1610 20 in in IN A34005 1610 21 Winter Winter NNP A34005 1610 22 always always RB A34005 1610 23 Acute acute RB A34005 1610 24 : : : A34005 1610 25 But but CC A34005 1610 26 of of IN A34005 1610 27 this this DT A34005 1610 28 Proportion Proportion NNP A34005 1610 29 I -PRON- PRP A34005 1610 30 make make VBP A34005 1610 31 no no DT A34005 1610 32 use use NN A34005 1610 33 it -PRON- PRP A34005 1610 34 being be VBG A34005 1610 35 liable liable JJ A34005 1610 36 in in IN A34005 1610 37 some some DT A34005 1610 38 Cases case NNS A34005 1610 39 to to IN A34005 1610 40 Excursion excursion NN A34005 1610 41 , , , A34005 1610 42 and and CC A34005 1610 43 will will MD A34005 1610 44 not not RB A34005 1610 45 hold hold VB A34005 1610 46 backward backward JJ A34005 1610 47 to to TO A34005 1610 48 find find VB A34005 1610 49 the the DT A34005 1610 50 Suns Suns NNPS A34005 1610 51 Altitudes Altitudes NNPS A34005 1610 52 the the DT A34005 1610 53 hour hour NN A34005 1610 54 being be VBG A34005 1610 55 assigned assign VBN A34005 1610 56 . . . A34005 1611 1 This this DT A34005 1611 2 Diagonal Diagonal NNP A34005 1611 3 Scale Scale NNP A34005 1611 4 is be VBZ A34005 1611 5 made make VBN A34005 1611 6 after after IN A34005 1611 7 the the DT A34005 1611 8 same same JJ A34005 1611 9 manner manner NN A34005 1611 10 as as IN A34005 1611 11 the the DT A34005 1611 12 Hour Hour NNP A34005 1611 13 Scale Scale NNP A34005 1611 14 described describe VBN A34005 1611 15 in in IN A34005 1611 16 the the DT A34005 1611 17 small small JJ A34005 1611 18 Quadrant Quadrant NNP A34005 1611 19 , , , A34005 1611 20 being be VBG A34005 1611 21 but but CC A34005 1611 22 several several JJ A34005 1611 23 Lines line NNS A34005 1611 24 of of IN A34005 1611 25 sines sine NNS A34005 1611 26 the the DT A34005 1611 27 greater great JJR A34005 1611 28 whereof whereof NNP A34005 1611 29 are be VBP A34005 1611 30 made make VBN A34005 1611 31 equal equal JJ A34005 1611 32 to to IN A34005 1611 33 the the DT A34005 1611 34 Secant Secant NNP A34005 1611 35 of of IN A34005 1611 36 the the DT A34005 1611 37 Latitude Latitude NNP A34005 1611 38 , , , A34005 1611 39 whereto whereto NN A34005 1611 40 they -PRON- PRP A34005 1611 41 are be VBP A34005 1611 42 fitted fit VBN A34005 1611 43 , , , A34005 1611 44 the the DT A34005 1611 45 Radius Radius NNP A34005 1611 46 of of IN A34005 1611 47 which which WDT A34005 1611 48 Secant Secant NNP A34005 1611 49 is be VBZ A34005 1611 50 5 5 CD A34005 1611 51 Inches inch NNS A34005 1611 52 long long JJ A34005 1611 53 . . . A34005 1612 1 The the DT A34005 1612 2 lesser less JJR A34005 1612 3 Sines Sines NNP A34005 1612 4 continued continue VBD A34005 1612 5 the the DT A34005 1612 6 other other JJ A34005 1612 7 way way NN A34005 1612 8 , , , A34005 1612 9 their -PRON- PRP$ A34005 1612 10 respective respective JJ A34005 1612 11 Radii Radii NNP A34005 1612 12 are be VBP A34005 1612 13 made make VBN A34005 1612 14 equal equal JJ A34005 1612 15 to to IN A34005 1612 16 the the DT A34005 1612 17 sine sine NN A34005 1612 18 of of IN A34005 1612 19 the the DT A34005 1612 20 Latitude Latitude NNP A34005 1612 21 of of IN A34005 1612 22 that that DT A34005 1612 23 greater great JJR A34005 1612 24 sine sine NN A34005 1612 25 whereto whereto NN A34005 1612 26 they -PRON- PRP A34005 1612 27 are be VBP A34005 1612 28 continued continue VBN A34005 1612 29 . . . A34005 1613 1 The the DT A34005 1613 2 parralel parralel JJ A34005 1613 3 Lines line NNS A34005 1613 4 fitted fit VBD A34005 1613 5 to to IN A34005 1613 6 the the DT A34005 1613 7 respective respective JJ A34005 1613 8 Latitudes latitude NNS A34005 1613 9 are be VBP A34005 1613 10 not not RB A34005 1613 11 to to TO A34005 1613 12 be be VB A34005 1613 13 equidistant equidistant NN A34005 1613 14 one one CD A34005 1613 15 from from IN A34005 1613 16 another another DT A34005 1613 17 ; ; : A34005 1613 18 but but CC A34005 1613 19 having have VBG A34005 1613 20 determined determine VBN A34005 1613 21 the the DT A34005 1613 22 distance distance NN A34005 1613 23 between between IN A34005 1613 24 the the DT A34005 1613 25 two two CD A34005 1613 26 Extream Extream NNP A34005 1613 27 Latitudes Latitudes NNPS A34005 1613 28 , , , A34005 1613 29 to to TO A34005 1613 30 which which WDT A34005 1613 31 they -PRON- PRP A34005 1613 32 are be VBP A34005 1613 33 fitted fit VBN A34005 1613 34 for for IN A34005 1613 35 the the DT A34005 1613 36 the the DT A34005 1613 37 larger large JJR A34005 1613 38 sine sine NN A34005 1613 39 it -PRON- PRP A34005 1613 40 will will MD A34005 1613 41 hold hold VB A34005 1613 42 , , , A34005 1613 43 As as IN A34005 1613 44 the the DT A34005 1613 45 difference difference NN A34005 1613 46 of of IN A34005 1613 47 the the DT A34005 1613 48 Secants secant NNS A34005 1613 49 of of IN A34005 1613 50 the the DT A34005 1613 51 two two CD A34005 1613 52 extream extream JJ A34005 1613 53 Latitudes Latitudes NNPS A34005 1613 54 , , , A34005 1613 55 It -PRON- PRP A34005 1613 56 to to IN A34005 1613 57 the the DT A34005 1613 58 distance distance NN A34005 1613 59 between between IN A34005 1613 60 the the DT A34005 1613 61 Lines Lines NNPS A34005 1613 62 fitted fit VBD A34005 1613 63 thereto thereto NN A34005 1613 64 : : : A34005 1613 65 So so RB A34005 1613 66 is be VBZ A34005 1613 67 the the DT A34005 1613 68 difference difference NN A34005 1613 69 of of IN A34005 1613 70 the the DT A34005 1613 71 Secants secant NNS A34005 1613 72 of of IN A34005 1613 73 the the DT A34005 1613 74 lesser less JJR A34005 1613 75 extream extream NN A34005 1613 76 Latitude Latitude NNP A34005 1613 77 , , , A34005 1613 78 and and CC A34005 1613 79 any any DT A34005 1613 80 other other JJ A34005 1613 81 intermediate intermediate JJ A34005 1613 82 Latitude Latitude NNP A34005 1613 83 , , , A34005 1613 84 To to IN A34005 1613 85 the the DT A34005 1613 86 distance distance NN A34005 1613 87 thereof thereof RB A34005 1613 88 from from IN A34005 1613 89 the the DT A34005 1613 90 lesser less JJR A34005 1613 91 extream extream NN A34005 1613 92 . . . A34005 1614 1 And and CC A34005 1614 2 so so RB A34005 1614 3 for for IN A34005 1614 4 the the DT A34005 1614 5 lesser less JJR A34005 1614 6 sine sine NN A34005 1614 7 continued continue VBD A34005 1614 8 the the DT A34005 1614 9 other other JJ A34005 1614 10 way way NN A34005 1614 11 , , , A34005 1614 12 having have VBG A34005 1614 13 placed place VBN A34005 1614 14 the the DT A34005 1614 15 two two CD A34005 1614 16 Extreams Extreams NNPS A34005 1614 17 under under IN A34005 1614 18 the the DT A34005 1614 19 two two CD A34005 1614 20 former former JJ A34005 1614 21 Extreams Extreams NNPS A34005 1614 22 , , , A34005 1614 23 to to TO A34005 1614 24 place place VB A34005 1614 25 the the DT A34005 1614 26 imtermediate imtermediate JJ A34005 1614 27 Lines line NNS A34005 1614 28 , , , A34005 1614 29 the the DT A34005 1614 30 Canon Canon NNP A34005 1614 31 would would MD A34005 1614 32 be be VB A34005 1614 33 , , , A34005 1614 34 As as IN A34005 1614 35 the the DT A34005 1614 36 difference difference NN A34005 1614 37 of of IN A34005 1614 38 the the DT A34005 1614 39 sines sine NNS A34005 1614 40 of of IN A34005 1614 41 the the DT A34005 1614 42 two two CD A34005 1614 43 extream extream JJ A34005 1614 44 Latitudes Latitudes NNP A34005 1614 45 , , , A34005 1614 46 Is be VBZ A34005 1614 47 to to IN A34005 1614 48 the the DT A34005 1614 49 distance distance NN A34005 1614 50 between between IN A34005 1614 51 the the DT A34005 1614 52 Lines Lines NNPS A34005 1614 53 fitted fit VBD A34005 1614 54 thereto thereto NN A34005 1614 55 : : : A34005 1614 56 So so RB A34005 1614 57 is be VBZ A34005 1614 58 the the DT A34005 1614 59 difference difference NN A34005 1614 60 of of IN A34005 1614 61 the the DT A34005 1614 62 sines sine NNS A34005 1614 63 of of IN A34005 1614 64 the the DT A34005 1614 65 lesser less JJR A34005 1614 66 extream extream NN A34005 1614 67 Latitude Latitude NNP A34005 1614 68 , , , A34005 1614 69 and and CC A34005 1614 70 of of IN A34005 1614 71 any any DT A34005 1614 72 other other JJ A34005 1614 73 intermediate intermediate JJ A34005 1614 74 Latitude Latitude NNP A34005 1614 75 , , , A34005 1614 76 To to IN A34005 1614 77 the the DT A34005 1614 78 distance distance NN A34005 1614 79 thereof thereof RB A34005 1614 80 from from IN A34005 1614 81 the the DT A34005 1614 82 lesser less JJR A34005 1614 83 Extream Extream NNP A34005 1614 84 . . . A34005 1615 1 Having have VBG A34005 1615 2 fitted fit VBN A34005 1615 3 the the DT A34005 1615 4 distances distance NNS A34005 1615 5 of of IN A34005 1615 6 the the DT A34005 1615 7 greater great JJR A34005 1615 8 sine sine NN A34005 1615 9 , , , A34005 1615 10 streight streight JJ A34005 1615 11 Lines line NNS A34005 1615 12 drawn draw VBN A34005 1615 13 through through IN A34005 1615 14 the the DT A34005 1615 15 two two CD A34005 1615 16 extream extream JJ A34005 1615 17 sines sine NNS A34005 1615 18 shall shall MD A34005 1615 19 divide divide VB A34005 1615 20 the the DT A34005 1615 21 intermediate intermediate JJ A34005 1615 22 Parralels Parralels NNPS A34005 1615 23 also also RB A34005 1615 24 into into IN A34005 1615 25 Lines line NNS A34005 1615 26 of of IN A34005 1615 27 sines sine NNS A34005 1615 28 , , , A34005 1615 29 proper proper JJ A34005 1615 30 to to IN A34005 1615 31 the the DT A34005 1615 32 Latitudes Latitudes NNP A34005 1615 33 to to TO A34005 1615 34 which which WDT A34005 1615 35 they -PRON- PRP A34005 1615 36 are be VBP A34005 1615 37 fitted fit VBN A34005 1615 38 : : : A34005 1615 39 Now now RB A34005 1615 40 for for IN A34005 1615 41 the the DT A34005 1615 42 lesser less JJR A34005 1615 43 sines sine NNS A34005 1615 44 they -PRON- PRP A34005 1615 45 are be VBP A34005 1615 46 continued continue VBN A34005 1615 47 the the DT A34005 1615 48 other other JJ A34005 1615 49 way way NN A34005 1615 50 at at IN A34005 1615 51 the the DT A34005 1615 52 ends end NNS A34005 1615 53 of of IN A34005 1615 54 the the DT A34005 1615 55 former former JJ A34005 1615 56 Parralells Parralells NNP A34005 1615 57 , , , A34005 1615 58 the the DT A34005 1615 59 Line Line NNP A34005 1615 60 proper proper JJ A34005 1615 61 to to IN A34005 1615 62 each each DT A34005 1615 63 Latitude Latitude NNP A34005 1615 64 should should MD A34005 1615 65 be be VB A34005 1615 66 divided divide VBN A34005 1615 67 into into IN A34005 1615 68 a a DT A34005 1615 69 Line Line NNP A34005 1615 70 of of IN A34005 1615 71 sines sine NNS A34005 1615 72 , , , A34005 1615 73 whose whose WP$ A34005 1615 74 Radius radius NN A34005 1615 75 should should MD A34005 1615 76 be be VB A34005 1615 77 equal equal JJ A34005 1615 78 to to IN A34005 1615 79 the the DT A34005 1615 80 sine sine NN A34005 1615 81 of of IN A34005 1615 82 the the DT A34005 1615 83 Latitude Latitude NNP A34005 1615 84 of of IN A34005 1615 85 the the DT A34005 1615 86 other other JJ A34005 1615 87 sine sine NN A34005 1615 88 whereto whereto NN A34005 1615 89 it -PRON- PRP A34005 1615 90 is be VBZ A34005 1615 91 fitted fit VBN A34005 1615 92 ; ; : A34005 1615 93 and and CC A34005 1615 94 so so RB A34005 1615 95 Lines line NNS A34005 1615 96 traced trace VBD A34005 1615 97 through through IN A34005 1615 98 each each DT A34005 1615 99 degree degree NN A34005 1615 100 to to IN A34005 1615 101 the the DT A34005 1615 102 Extreams Extreams NNPS A34005 1615 103 ; ; : A34005 1615 104 but but CC A34005 1615 105 by by IN A34005 1615 106 reason reason NN A34005 1615 107 of of IN A34005 1615 108 the the DT A34005 1615 109 small small JJ A34005 1615 110 distance distance NN A34005 1615 111 of of IN A34005 1615 112 these these DT A34005 1615 113 Lines line NNS A34005 1615 114 , , , A34005 1615 115 the the DT A34005 1615 116 difference difference NN A34005 1615 117 is be VBZ A34005 1615 118 so so RB A34005 1615 119 exceeding exceed VBG A34005 1615 120 small small JJ A34005 1615 121 , , , A34005 1615 122 that that IN A34005 1615 123 it -PRON- PRP A34005 1615 124 may may MD A34005 1615 125 not not RB A34005 1615 126 be be VB A34005 1615 127 scrupled scruple VBN A34005 1615 128 to to TO A34005 1615 129 draw draw VB A34005 1615 130 Lines Lines NNP A34005 1615 131 Diagonal Diagonal NNP A34005 1615 132 wise wise JJ A34005 1615 133 from from IN A34005 1615 134 each each DT A34005 1615 135 degree degree NN A34005 1615 136 of of IN A34005 1615 137 the the DT A34005 1615 138 two two CD A34005 1615 139 outward outward JJ A34005 1615 140 extream extream NN A34005 1615 141 Sines Sines NNP A34005 1615 142 , , , A34005 1615 143 for for IN A34005 1615 144 being be VBG A34005 1615 145 drawn draw VBN A34005 1615 146 true true JJ A34005 1615 147 , , , A34005 1615 148 they -PRON- PRP A34005 1615 149 will will MD A34005 1615 150 not not RB A34005 1615 151 be be VB A34005 1615 152 perceived perceive VBN A34005 1615 153 to to TO A34005 1615 154 be be VB A34005 1615 155 any any DT A34005 1615 156 other other JJ A34005 1615 157 then then RB A34005 1615 158 streight streight JJ A34005 1615 159 Lines line NNS A34005 1615 160 . . . A34005 1616 1 Whereas whereas IN A34005 1616 2 these these DT A34005 1616 3 Lines line NNS A34005 1616 4 by by IN A34005 1616 5 reason reason NN A34005 1616 6 of of IN A34005 1616 7 the the DT A34005 1616 8 latter latter JJ A34005 1616 9 Proportion Proportion NNP A34005 1616 10 should should MD A34005 1616 11 not not RB A34005 1616 12 fall fall VB A34005 1616 13 absolutely absolutely RB A34005 1616 14 to to TO A34005 1616 15 be be VB A34005 1616 16 drawn draw VBN A34005 1616 17 , , , A34005 1616 18 at at IN A34005 1616 19 the the DT A34005 1616 20 ends end NNS A34005 1616 21 of of IN A34005 1616 22 the the DT A34005 1616 23 former former JJ A34005 1616 24 Lines line NNS A34005 1616 25 whereto whereto VBP A34005 1616 26 they -PRON- PRP A34005 1616 27 are be VBP A34005 1616 28 fitted fit VBN A34005 1616 29 , , , A34005 1616 30 and and CC A34005 1616 31 then then RB A34005 1616 32 they -PRON- PRP A34005 1616 33 would would MD A34005 1616 34 not not RB A34005 1616 35 be be VB A34005 1616 36 so so RB A34005 1616 37 fit fit JJ A34005 1616 38 for for IN A34005 1616 39 the the DT A34005 1616 40 purpose purpose NN A34005 1616 41 , , , A34005 1616 42 yet yet CC A34005 1616 43 the the DT A34005 1616 44 difference difference NN A34005 1616 45 being be VBG A34005 1616 46 as as IN A34005 1616 47 we -PRON- PRP A34005 1616 48 said say VBD A34005 1616 49 , , , A34005 1616 50 so so RB A34005 1616 51 insensible insensible JJ A34005 1616 52 that that IN A34005 1616 53 it -PRON- PRP A34005 1616 54 can can MD A34005 1616 55 not not RB A34005 1616 56 be be VB A34005 1616 57 scaled scale VBN A34005 1616 58 , , , A34005 1616 59 they -PRON- PRP A34005 1616 60 are be VBP A34005 1616 61 notwithstanding notwithstanding RB A34005 1616 62 there there RB A34005 1616 63 placed place VBN A34005 1616 64 and and CC A34005 1616 65 crossed cross VBD A34005 1616 66 with with IN A34005 1616 67 Diagonals Diagonals NNPS A34005 1616 68 drawn draw VBN A34005 1616 69 through through IN A34005 1616 70 each each DT A34005 1616 71 degree degree NN A34005 1616 72 of of IN A34005 1616 73 the the DT A34005 1616 74 Extreams Extreams NNPS A34005 1616 75 . . . A34005 1617 1 The the DT A34005 1617 2 Vses vse NNS A34005 1617 3 of of IN A34005 1617 4 the the DT A34005 1617 5 Diagonal Diagonal NNP A34005 1617 6 Scale Scale NNP A34005 1617 7 . . . A34005 1618 1 1 1 LS A34005 1618 2 . . . A34005 1619 1 To to TO A34005 1619 2 find find VB A34005 1619 3 the the DT A34005 1619 4 time time NN A34005 1619 5 of of IN A34005 1619 6 Sun Sun NNP A34005 1619 7 rising rise VBG A34005 1619 8 or or CC A34005 1619 9 setting set VBG A34005 1619 10 . . . A34005 1620 1 In in IN A34005 1620 2 the the DT A34005 1620 3 Parralel Parralel NNP A34005 1620 4 proper proper JJ A34005 1620 5 to to IN A34005 1620 6 the the DT A34005 1620 7 Latitude Latitude NNP A34005 1620 8 take take VB A34005 1620 9 out out RP A34005 1620 10 the the DT A34005 1620 11 Suns Suns NNPS A34005 1620 12 Declination Declination NNP A34005 1620 13 out out IN A34005 1620 14 of of IN A34005 1620 15 the the DT A34005 1620 16 lesser less JJR A34005 1620 17 continued continue VBN A34005 1620 18 sines sine NNS A34005 1620 19 , , , A34005 1620 20 and and CC A34005 1620 21 enter enter VB A34005 1620 22 one one CD A34005 1620 23 foot foot NN A34005 1620 24 of of IN A34005 1620 25 this this DT A34005 1620 26 extent extent NN A34005 1620 27 at at IN A34005 1620 28 the the DT A34005 1620 29 Complement Complement NNP A34005 1620 30 of of IN A34005 1620 31 the the DT A34005 1620 32 Declination declination NN A34005 1620 33 in in IN A34005 1620 34 the the DT A34005 1620 35 Line Line NNP A34005 1620 36 of of IN A34005 1620 37 sines sine NNS A34005 1620 38 , , , A34005 1620 39 and and CC A34005 1620 40 in in IN A34005 1620 41 the the DT A34005 1620 42 equal equal JJ A34005 1620 43 Limb Limb NNP A34005 1620 44 the the DT A34005 1620 45 Thread Thread NNP A34005 1620 46 being be VBG A34005 1620 47 laid lay VBN A34005 1620 48 to to IN A34005 1620 49 the the DT A34005 1620 50 other other JJ A34005 1620 51 foot foot NN A34005 1620 52 will will MD A34005 1620 53 shew shew VB A34005 1620 54 the the DT A34005 1620 55 time time NN A34005 1620 56 sought seek VBN A34005 1620 57 . . . A34005 1621 1 In in IN A34005 1621 2 the the DT A34005 1621 3 Latitude Latitude NNP A34005 1621 4 of of IN A34005 1621 5 York York NNP A34005 1621 6 , , , A34005 1621 7 namely namely RB A34005 1621 8 54d 54d NNS A34005 1621 9 , , , A34005 1621 10 if if IN A34005 1621 11 the the DT A34005 1621 12 Sun Sun NNP A34005 1621 13 have have VBP A34005 1621 14 20d 20d NNS A34005 1621 15 of of IN A34005 1621 16 Declination declination NN A34005 1621 17 Northward Northward NNP A34005 1621 18 he -PRON- PRP A34005 1621 19 rises rise VBZ A34005 1621 20 at at IN A34005 1621 21 4 4 CD A34005 1621 22 and and CC A34005 1621 23 sets set NNS A34005 1621 24 at at IN A34005 1621 25 8 8 CD A34005 1621 26 Southward Southward NNP A34005 1621 27 he -PRON- PRP A34005 1621 28 rises rise VBZ A34005 1621 29 at at IN A34005 1621 30 8 8 CD A34005 1621 31 and and CC A34005 1621 32 sets set NNS A34005 1621 33 at at IN A34005 1621 34 4 4 CD A34005 1621 35 2 2 CD A34005 1621 36 . . . A34005 1622 1 To to TO A34005 1622 2 find find VB A34005 1622 3 the the DT A34005 1622 4 Hour Hour NNP A34005 1622 5 of of IN A34005 1622 6 the the DT A34005 1622 7 Day Day NNP A34005 1622 8 or or CC A34005 1622 9 Night Night NNP A34005 1622 10 for for IN A34005 1622 11 South South NNP A34005 1622 12 Declination Declination NNP A34005 1622 13 . . . A34005 1623 1 In in IN A34005 1623 2 the the DT A34005 1623 3 Parralel Parralel NNP A34005 1623 4 proper proper JJ A34005 1623 5 to to IN A34005 1623 6 the the DT A34005 1623 7 Latitude Latitude NNP A34005 1623 8 account account NN A34005 1623 9 the the DT A34005 1623 10 Declination declination NN A34005 1623 11 in in IN A34005 1623 12 the the DT A34005 1623 13 lesser less JJR A34005 1623 14 continued continue VBN A34005 1623 15 sine sine NN A34005 1623 16 , , , A34005 1623 17 and and CC A34005 1623 18 the the DT A34005 1623 19 Altitude altitude NN A34005 1623 20 in in IN A34005 1623 21 the the DT A34005 1623 22 greater great JJR A34005 1623 23 sine sine NN A34005 1623 24 , , , A34005 1623 25 and and CC A34005 1623 26 take take VB A34005 1623 27 their -PRON- PRP$ A34005 1623 28 distance distance NN A34005 1623 29 , , , A34005 1623 30 which which WDT A34005 1623 31 extent extent NN A34005 1623 32 apply apply VBP A34005 1623 33 as as IN A34005 1623 34 before before RB A34005 1623 35 to to IN A34005 1623 36 the the DT A34005 1623 37 Cosine Cosine NNP A34005 1623 38 of of IN A34005 1623 39 the the DT A34005 1623 40 Declination Declination NNP A34005 1623 41 in in IN A34005 1623 42 the the DT A34005 1623 43 Line Line NNP A34005 1623 44 of of IN A34005 1623 45 sines sine NNS A34005 1623 46 on on IN A34005 1623 47 the the DT A34005 1623 48 Quadrant Quadrant NNP A34005 1623 49 , , , A34005 1623 50 and and CC A34005 1623 51 laying lay VBG A34005 1623 52 the the DT A34005 1623 53 Thread thread NN A34005 1623 54 to to IN A34005 1623 55 the the DT A34005 1623 56 other other JJ A34005 1623 57 foot foot NN A34005 1623 58 according accord VBG A34005 1623 59 to to IN A34005 1623 60 nearest near JJS A34005 1623 61 distance distance NN A34005 1623 62 it -PRON- PRP A34005 1623 63 shews shew VBZ A34005 1623 64 the the DT A34005 1623 65 time time NN A34005 1623 66 sought seek VBN A34005 1623 67 in in IN A34005 1623 68 the the DT A34005 1623 69 equal equal JJ A34005 1623 70 Limbe Limbe NNP A34005 1623 71 . . . A34005 1624 1 Thus thus RB A34005 1624 2 in in IN A34005 1624 3 the the DT A34005 1624 4 Latitude Latitude NNP A34005 1624 5 of of IN A34005 1624 6 York York NNP A34005 1624 7 when when WRB A34005 1624 8 the the DT A34005 1624 9 Sun Sun NNP A34005 1624 10 hath hath NN A34005 1624 11 20d 20d NNS A34005 1624 12 of of IN A34005 1624 13 South South NNP A34005 1624 14 declination declination NN A34005 1624 15 , , , A34005 1624 16 his -PRON- PRP$ A34005 1624 17 Altitude altitude NN A34005 1624 18 being be VBG A34005 1624 19 5d 5d CD A34005 1624 20 , , , A34005 1624 21 the the DT A34005 1624 22 hour hour NN A34005 1624 23 from from IN A34005 1624 24 noon noon NN A34005 1624 25 will will MD A34005 1624 26 be be VB A34005 1624 27 found find VBN A34005 1624 28 45 45 CD A34005 1624 29 minutes minute NNS A34005 1624 30 past past IN A34005 1624 31 8 8 CD A34005 1624 32 in in IN A34005 1624 33 the the DT A34005 1624 34 morning morning NN A34005 1624 35 , , , A34005 1624 36 or or CC A34005 1624 37 15 15 CD A34005 1624 38 minutes minute NNS A34005 1624 39 past past IN A34005 1624 40 3 3 CD A34005 1624 41 in in IN A34005 1624 42 the the DT A34005 1624 43 afternoon afternoon NN A34005 1624 44 feré feré NNP A34005 1624 45 . . . A34005 1625 1 For for IN A34005 1625 2 North North NNP A34005 1625 3 Declination Declination NNP A34005 1625 4 . . . A34005 1626 1 The the DT A34005 1626 2 Declination Declination NNP A34005 1626 3 must must MD A34005 1626 4 be be VB A34005 1626 5 taken take VBN A34005 1626 6 out out IN A34005 1626 7 of of IN A34005 1626 8 the the DT A34005 1626 9 lesser less JJR A34005 1626 10 sine sine NN A34005 1626 11 in in IN A34005 1626 12 the the DT A34005 1626 13 proper proper JJ A34005 1626 14 Parralel Parralel NNP A34005 1626 15 , , , A34005 1626 16 and and CC A34005 1626 17 turned turn VBD A34005 1626 18 upward upward RB A34005 1626 19 on on IN A34005 1626 20 the the DT A34005 1626 21 greater great JJR A34005 1626 22 sine sine NN A34005 1626 23 and and CC A34005 1626 24 there there RB A34005 1626 25 it -PRON- PRP A34005 1626 26 shews shew VBZ A34005 1626 27 the the DT A34005 1626 28 Altitude altitude NN A34005 1626 29 at at IN A34005 1626 30 six six CD A34005 1626 31 for for IN A34005 1626 32 the the DT A34005 1626 33 Sun Sun NNP A34005 1626 34 or or CC A34005 1626 35 any any DT A34005 1626 36 Stars star NNS A34005 1626 37 in in IN A34005 1626 38 the the DT A34005 1626 39 Northern Northern NNP A34005 1626 40 Hemispere Hemispere NNP A34005 1626 41 , , , A34005 1626 42 the the DT A34005 1626 43 distance distance NN A34005 1626 44 between between IN A34005 1626 45 which which WDT A34005 1626 46 Point Point NNP A34005 1626 47 and and CC A34005 1626 48 the the DT A34005 1626 49 given give VBN A34005 1626 50 Altitude altitude NN A34005 1626 51 must must MD A34005 1626 52 be be VB A34005 1626 53 entred entre VBN A34005 1626 54 as as IN A34005 1626 55 before before RB A34005 1626 56 at at IN A34005 1626 57 the the DT A34005 1626 58 Cosine Cosine NNP A34005 1626 59 of of IN A34005 1626 60 the the DT A34005 1626 61 declination declination NN A34005 1626 62 , , , A34005 1626 63 laying lay VBG A34005 1626 64 the the DT A34005 1626 65 thread thread NN A34005 1626 66 to to IN A34005 1626 67 the the DT A34005 1626 68 other other JJ A34005 1626 69 foot foot NN A34005 1626 70 and and CC A34005 1626 71 it -PRON- PRP A34005 1626 72 shews shew VBZ A34005 1626 73 the the DT A34005 1626 74 hour hour NN A34005 1626 75 in in IN A34005 1626 76 the the DT A34005 1626 77 Limb Limb NNP A34005 1626 78 from from IN A34005 1626 79 six six CD A34005 1626 80 towards towards IN A34005 1626 81 noon noon NN A34005 1626 82 or or CC A34005 1626 83 midnight midnight NN A34005 1626 84 , , , A34005 1626 85 according accord VBG A34005 1626 86 as as IN A34005 1626 87 the the DT A34005 1626 88 Sun Sun NNP A34005 1626 89 or or CC A34005 1626 90 Stars Stars NNP A34005 1626 91 Altitude Altitude NNP A34005 1626 92 was be VBD A34005 1626 93 greater great JJR A34005 1626 94 or or CC A34005 1626 95 lesser less JJR A34005 1626 96 then then RB A34005 1626 97 its -PRON- PRP$ A34005 1626 98 Altitude altitude NN A34005 1626 99 at at IN A34005 1626 100 six six CD A34005 1626 101 . . . A34005 1627 1 So so RB A34005 1627 2 in in IN A34005 1627 3 the the DT A34005 1627 4 Latitude Latitude NNP A34005 1627 5 of of IN A34005 1627 6 York York NNP A34005 1627 7 , , , A34005 1627 8 when when WRB A34005 1627 9 the the DT A34005 1627 10 Sun Sun NNP A34005 1627 11 hath hath NN A34005 1627 12 20d 20d NNS A34005 1627 13 of of IN A34005 1627 14 North North NNP A34005 1627 15 declination declination NN A34005 1627 16 if if IN A34005 1627 17 his -PRON- PRP$ A34005 1627 18 Altitude altitude NN A34005 1627 19 be be VBP A34005 1627 20 40d 40d NNS A34005 1627 21 , , , A34005 1627 22 the the DT A34005 1627 23 hour hour NN A34005 1627 24 will will MD A34005 1627 25 be be VB A34005 1627 26 46 46 CD A34005 1627 27 minutes minute NNS A34005 1627 28 past past IN A34005 1627 29 8 8 CD A34005 1627 30 in in IN A34005 1627 31 the the DT A34005 1627 32 morning morning NN A34005 1627 33 , , , A34005 1627 34 or or CC A34005 1627 35 14 14 CD A34005 1627 36 minutes minute NNS A34005 1627 37 past past IN A34005 1627 38 3 3 CD A34005 1627 39 in in IN A34005 1627 40 the the DT A34005 1627 41 afternoon afternoon NN A34005 1627 42 . . . A34005 1628 1 4 4 LS A34005 1628 2 . . . A34005 1629 1 The the DT A34005 1629 2 Converse Converse NNP A34005 1629 3 of of IN A34005 1629 4 the the DT A34005 1629 5 former former JJ A34005 1629 6 Proposition Proposition NNP A34005 1629 7 will will MD A34005 1629 8 be be VB A34005 1629 9 to to TO A34005 1629 10 find find VB A34005 1629 11 the the DT A34005 1629 12 Altitude altitude NN A34005 1629 13 of of IN A34005 1629 14 the the DT A34005 1629 15 Sun Sun NNP A34005 1629 16 at at IN A34005 1629 17 any any DT A34005 1629 18 hour hour NN A34005 1629 19 of of IN A34005 1629 20 the the DT A34005 1629 21 day day NN A34005 1629 22 , , , A34005 1629 23 or or CC A34005 1629 24 of of IN A34005 1629 25 any any DT A34005 1629 26 Star Star NNP A34005 1629 27 at at IN A34005 1629 28 any any DT A34005 1629 29 hour hour NN A34005 1629 30 of of IN A34005 1629 31 the the DT A34005 1629 32 night night NN A34005 1629 33 . . . A34005 1630 1 I -PRON- PRP A34005 1630 2 need need VBP A34005 1630 3 not not RB A34005 1630 4 insist insist VB A34005 1630 5 on on IN A34005 1630 6 this this DT A34005 1630 7 , , , A34005 1630 8 having have VBG A34005 1630 9 shewn shew VBN A34005 1630 10 the the DT A34005 1630 11 manner manner NN A34005 1630 12 of of IN A34005 1630 13 it -PRON- PRP A34005 1630 14 on on IN A34005 1630 15 the the DT A34005 1630 16 small small JJ A34005 1630 17 quadrant quadrant NN A34005 1630 18 , , , A34005 1630 19 only only RB A34005 1630 20 for for IN A34005 1630 21 these these DT A34005 1630 22 Scales scale NNS A34005 1630 23 use use VBP A34005 1630 24 the the DT A34005 1630 25 Limb Limb NNP A34005 1630 26 instead instead RB A34005 1630 27 of of IN A34005 1630 28 the the DT A34005 1630 29 lesser less JJR A34005 1630 30 sines sine NNS A34005 1630 31 , , , A34005 1630 32 for for IN A34005 1630 33 Stars star NNS A34005 1630 34 the the DT A34005 1630 35 time time NN A34005 1630 36 of of IN A34005 1630 37 the the DT A34005 1630 38 night night NN A34005 1630 39 must must MD A34005 1630 40 first first RB A34005 1630 41 be be VB A34005 1630 42 turned turn VBN A34005 1630 43 into into IN A34005 1630 44 the the DT A34005 1630 45 Stars Stars NNP A34005 1630 46 hour hour NN A34005 1630 47 , , , A34005 1630 48 and and CC A34005 1630 49 then then RB A34005 1630 50 the the DT A34005 1630 51 Work work NN A34005 1630 52 the the DT A34005 1630 53 same same JJ A34005 1630 54 as as IN A34005 1630 55 for for IN A34005 1630 56 the the DT A34005 1630 57 Sun Sun NNP A34005 1630 58 . . . A34005 1631 1 5 5 CD A34005 1631 2 . . . A34005 1632 1 To to TO A34005 1632 2 find find VB A34005 1632 3 the the DT A34005 1632 4 Amplitude Amplitude NNP A34005 1632 5 of of IN A34005 1632 6 ehe ehe NNP A34005 1632 7 Sun Sun NNP A34005 1632 8 or or CC A34005 1632 9 Stars Stars NNP A34005 1632 10 . . . A34005 1633 1 Take take VB A34005 1633 2 out out RP A34005 1633 3 the the DT A34005 1633 4 Declination declination NN A34005 1633 5 out out IN A34005 1633 6 of of IN A34005 1633 7 the the DT A34005 1633 8 greater great JJR A34005 1633 9 sine sine NN A34005 1633 10 in in IN A34005 1633 11 the the DT A34005 1633 12 Parralel Parralel NNP A34005 1633 13 proper proper JJ A34005 1633 14 to to IN A34005 1633 15 the the DT A34005 1633 16 Latitude Latitude NNP A34005 1633 17 , , , A34005 1633 18 and and CC A34005 1633 19 measure measure VB A34005 1633 20 it -PRON- PRP A34005 1633 21 on on IN A34005 1633 22 the the DT A34005 1633 23 Line Line NNP A34005 1633 24 of of IN A34005 1633 25 sines sine NNS A34005 1633 26 on on IN A34005 1633 27 the the DT A34005 1633 28 lesser less JJR A34005 1633 29 Quadrant Quadrant NNP A34005 1633 30 , , , A34005 1633 31 and and CC A34005 1633 32 it -PRON- PRP A34005 1633 33 shews shew VBZ A34005 1633 34 the the DT A34005 1633 35 Amplitude Amplitude NNP A34005 1633 36 sought seek VBD A34005 1633 37 . . . A34005 1634 1 So so RB A34005 1634 2 in in IN A34005 1634 3 the the DT A34005 1634 4 Latitude Latitude NNP A34005 1634 5 of of IN A34005 1634 6 York York NNP A34005 1634 7 54d 54d NNS A34005 1634 8 when when WRB A34005 1634 9 the the DT A34005 1634 10 Sun Sun NNP A34005 1634 11 hath hath NN A34005 1634 12 20d 20d NNS A34005 1634 13 of of IN A34005 1634 14 Declination Declination NNP A34005 1634 15 , , , A34005 1634 16 his -PRON- PRP$ A34005 1634 17 Amplitude Amplitude NNP A34005 1634 18 will will MD A34005 1634 19 be be VB A34005 1634 20 35d 35d NNS A34005 1634 21 35′ 35′ CD A34005 1634 22 . . . A34005 1635 1 6 6 CD A34005 1635 2 . . . A34005 1636 1 To to TO A34005 1636 2 find find VB A34005 1636 3 the the DT A34005 1636 4 Azimuth Azimuth NNP A34005 1636 5 for for IN A34005 1636 6 the the DT A34005 1636 7 Sun Sun NNP A34005 1636 8 or or CC A34005 1636 9 any any DT A34005 1636 10 Stars Stars NNPS A34005 1636 11 in in IN A34005 1636 12 the the DT A34005 1636 13 Hemisphere Hemisphere NNP A34005 1636 14 . . . A34005 1637 1 For for IN A34005 1637 2 South South NNP A34005 1637 3 Declination Declination NNP A34005 1637 4 . . . A34005 1638 1 Account account VB A34005 1638 2 the the DT A34005 1638 3 Altitude altitude NN A34005 1638 4 in in IN A34005 1638 5 the the DT A34005 1638 6 lesser less JJR A34005 1638 7 sine sine NN A34005 1638 8 continued continue VBD A34005 1638 9 in in IN A34005 1638 10 the the DT A34005 1638 11 proper proper JJ A34005 1638 12 Parralel Parralel NNP A34005 1638 13 , , , A34005 1638 14 and and CC A34005 1638 15 the the DT A34005 1638 16 Declination declination NN A34005 1638 17 in in IN A34005 1638 18 the the DT A34005 1638 19 greater great JJR A34005 1638 20 sine sine NN A34005 1638 21 , , , A34005 1638 22 and and CC A34005 1638 23 take take VB A34005 1638 24 their -PRON- PRP$ A34005 1638 25 distance distance NN A34005 1638 26 enter enter VB A34005 1638 27 one one CD A34005 1638 28 foot foot NN A34005 1638 29 of of IN A34005 1638 30 this this DT A34005 1638 31 extent extent NN A34005 1638 32 at at IN A34005 1638 33 the the DT A34005 1638 34 Cosine Cosine NNP A34005 1638 35 of of IN A34005 1638 36 the the DT A34005 1638 37 Altitude Altitude NNP A34005 1638 38 on on IN A34005 1638 39 the the DT A34005 1638 40 Quadrant Quadrant NNP A34005 1638 41 , , , A34005 1638 42 and and CC A34005 1638 43 lay lie VBD A34005 1638 44 the the DT A34005 1638 45 Thread thread NN A34005 1638 46 to to IN A34005 1638 47 the the DT A34005 1638 48 other other JJ A34005 1638 49 according accord VBG A34005 1638 50 to to IN A34005 1638 51 nearest near JJS A34005 1638 52 distance distance NN A34005 1638 53 , , , A34005 1638 54 and and CC A34005 1638 55 in in IN A34005 1638 56 the the DT A34005 1638 57 Limbe Limbe NNP A34005 1638 58 it -PRON- PRP A34005 1638 59 shews shew VBZ A34005 1638 60 the the DT A34005 1638 61 Azimuth Azimuth NNP A34005 1638 62 from from IN A34005 1638 63 East East NNP A34005 1638 64 or or CC A34005 1638 65 West West NNP A34005 1638 66 Southwards Southwards NNP A34005 1638 67 . . . A34005 1639 1 So so RB A34005 1639 2 in in IN A34005 1639 3 the the DT A34005 1639 4 Latitude Latitude NNP A34005 1639 5 of of IN A34005 1639 6 York York NNP A34005 1639 7 , , , A34005 1639 8 when when WRB A34005 1639 9 the the DT A34005 1639 10 Sun Sun NNP A34005 1639 11 hath hath NNP A34005 1639 12 20d 20d NNS A34005 1639 13 of of IN A34005 1639 14 South South NNP A34005 1639 15 Declination Declination NNP A34005 1639 16 , , , A34005 1639 17 his -PRON- PRP$ A34005 1639 18 Altitude altitude NN A34005 1639 19 being be VBG A34005 1639 20 5d 5d CD A34005 1639 21 , , , A34005 1639 22 the the DT A34005 1639 23 Azimuth Azimuth NNP A34005 1639 24 will will MD A34005 1639 25 be be VB A34005 1639 26 found find VBN A34005 1639 27 to to TO A34005 1639 28 be be VB A34005 1639 29 44d 44d CD A34005 1639 30 47′ 47′ CD A34005 1639 31 to to IN A34005 1639 32 the the DT A34005 1639 33 Southwards Southwards NNP A34005 1639 34 of of IN A34005 1639 35 the the DT A34005 1639 36 East East NNP A34005 1639 37 or or CC A34005 1639 38 West West NNP A34005 1639 39 . . . A34005 1640 1 For for IN A34005 1640 2 North North NNP A34005 1640 3 Declination Declination NNP A34005 1640 4 . . . A34005 1641 1 Account account VB A34005 1641 2 the the DT A34005 1641 3 Altitude altitude NN A34005 1641 4 in in IN A34005 1641 5 the the DT A34005 1641 6 lesser less JJR A34005 1641 7 sine sine NN A34005 1641 8 continued continue VBD A34005 1641 9 , , , A34005 1641 10 and and CC A34005 1641 11 apply apply VB A34005 1641 12 it -PRON- PRP A34005 1641 13 upward upward RB A34005 1641 14 on on IN A34005 1641 15 the the DT A34005 1641 16 greater great JJR A34005 1641 17 sine sine NN A34005 1641 18 and and CC A34005 1641 19 it -PRON- PRP A34005 1641 20 finds find VBZ A34005 1641 21 a a DT A34005 1641 22 Point Point NNP A34005 1641 23 thereon thereon NN A34005 1641 24 , , , A34005 1641 25 from from IN A34005 1641 26 whence whence NN A34005 1641 27 take take VBP A34005 1641 28 the the DT A34005 1641 29 distance distance NN A34005 1641 30 to to IN A34005 1641 31 the the DT A34005 1641 32 declination declination NN A34005 1641 33 in in IN A34005 1641 34 the the DT A34005 1641 35 said say VBD A34005 1641 36 greater great JJR A34005 1641 37 sine sine NN A34005 1641 38 in in IN A34005 1641 39 the the DT A34005 1641 40 Parralel Parralel NNP A34005 1641 41 proper proper JJ A34005 1641 42 to to IN A34005 1641 43 the the DT A34005 1641 44 Latitude Latitude NNP A34005 1641 45 of of IN A34005 1641 46 the the DT A34005 1641 47 place place NN A34005 1641 48 , , , A34005 1641 49 and and CC A34005 1641 50 enter enter VB A34005 1641 51 one one CD A34005 1641 52 foot foot NN A34005 1641 53 of of IN A34005 1641 54 this this DT A34005 1641 55 Extent extent NN A34005 1641 56 at at IN A34005 1641 57 the the DT A34005 1641 58 Cosine Cosine NNP A34005 1641 59 of of IN A34005 1641 60 the the DT A34005 1641 61 Altitude Altitude NNP A34005 1641 62 on on IN A34005 1641 63 the the DT A34005 1641 64 Line Line NNP A34005 1641 65 of of IN A34005 1641 66 sines sine NNS A34005 1641 67 , , , A34005 1641 68 and and CC A34005 1641 69 the the DT A34005 1641 70 Thread Thread NNP A34005 1641 71 being be VBG A34005 1641 72 laid lay VBN A34005 1641 73 to to IN A34005 1641 74 the the DT A34005 1641 75 other other JJ A34005 1641 76 foot foot NN A34005 1641 77 according accord VBG A34005 1641 78 to to IN A34005 1641 79 nearest near JJS A34005 1641 80 distance distance NN A34005 1641 81 , , , A34005 1641 82 shews shew VBZ A34005 1641 83 the the DT A34005 1641 84 Azimuth Azimuth NNP A34005 1641 85 in in IN A34005 1641 86 the the DT A34005 1641 87 Limbe Limbe NNP A34005 1641 88 from from IN A34005 1641 89 East East NNP A34005 1641 90 or or CC A34005 1641 91 West West NNP A34005 1641 92 . . . A34005 1642 1 So so RB A34005 1642 2 in in IN A34005 1642 3 the the DT A34005 1642 4 Latitude Latitude NNP A34005 1642 5 of of IN A34005 1642 6 York York NNP A34005 1642 7 , , , A34005 1642 8 when when WRB A34005 1642 9 the the DT A34005 1642 10 Sun Sun NNP A34005 1642 11 hath hath NN A34005 1642 12 20d 20d NNS A34005 1642 13 of of IN A34005 1642 14 North North NNP A34005 1642 15 Declination Declination NNP A34005 1642 16 , , , A34005 1642 17 and and CC A34005 1642 18 40d 40d NNS A34005 1642 19 of of IN A34005 1642 20 Altitude Altitude NNP A34005 1642 21 , , , A34005 1642 22 his -PRON- PRP$ A34005 1642 23 Azimuth Azimuth NNP A34005 1642 24 will will MD A34005 1642 25 be be VB A34005 1642 26 23d 23d ADD A34005 1642 27 16′ 16′ CD A34005 1642 28 to to IN A34005 1642 29 the the DT A34005 1642 30 Southwards Southwards NNP A34005 1642 31 of of IN A34005 1642 32 the the DT A34005 1642 33 East East NNP A34005 1642 34 or or CC A34005 1642 35 West West NNP A34005 1642 36 . . . A34005 1643 1 When when WRB A34005 1643 2 the the DT A34005 1643 3 Hour Hour NNP A34005 1643 4 or or CC A34005 1643 5 Azimuth Azimuth NNP A34005 1643 6 falls fall VBZ A34005 1643 7 near near IN A34005 1643 8 Noon Noon NNP A34005 1643 9 , , , A34005 1643 10 for for IN A34005 1643 11 more more JJR A34005 1643 12 certainty certainty NN A34005 1643 13 you -PRON- PRP A34005 1643 14 may may MD A34005 1643 15 lay lay VB A34005 1643 16 the the DT A34005 1643 17 Thread thread NN A34005 1643 18 to to IN A34005 1643 19 the the DT A34005 1643 20 Complement Complement NNP A34005 1643 21 of of IN A34005 1643 22 the the DT A34005 1643 23 Declination Declination NNP A34005 1643 24 for for IN A34005 1643 25 the the DT A34005 1643 26 Hour Hour NNP A34005 1643 27 , , , A34005 1643 28 or or CC A34005 1643 29 the the DT A34005 1643 30 Complement Complement NNP A34005 1643 31 of of IN A34005 1643 32 the the DT A34005 1643 33 Altitude altitude NN A34005 1643 34 for for IN A34005 1643 35 the the DT A34005 1643 36 Azimuth Azimuth NNP A34005 1643 37 , , , A34005 1643 38 in in IN A34005 1643 39 the the DT A34005 1643 40 Limbe Limbe NNP A34005 1643 41 , , , A34005 1643 42 and and CC A34005 1643 43 enter enter VB A34005 1643 44 the the DT A34005 1643 45 respective respective JJ A34005 1643 46 extents extent NNS A34005 1643 47 Parralelly Parralelly NNP A34005 1643 48 between between IN A34005 1643 49 the the DT A34005 1643 50 Thread thread NN A34005 1643 51 and and CC A34005 1643 52 the the DT A34005 1643 53 Sines Sines NNPS A34005 1643 54 , , , A34005 1643 55 and and CC A34005 1643 56 find find VB A34005 1643 57 the the DT A34005 1643 58 answer answer NN A34005 1643 59 in in IN A34005 1643 60 the the DT A34005 1643 61 sines sine NNS A34005 1643 62 . . . A34005 1644 1 We -PRON- PRP A34005 1644 2 might may MD A34005 1644 3 have have VB A34005 1644 4 fitted fit VBN A34005 1644 5 one one CD A34005 1644 6 Scale scale NN A34005 1644 7 on on IN A34005 1644 8 the the DT A34005 1644 9 quadrant quadrant NN A34005 1644 10 to to TO A34005 1644 11 give give VB A34005 1644 12 both both DT A34005 1644 13 the the DT A34005 1644 14 houre houre NN A34005 1644 15 and and CC A34005 1644 16 Azimuth Azimuth NNP A34005 1644 17 in in IN A34005 1644 18 the the DT A34005 1644 19 Equall Equall NNP A34005 1644 20 Limb Limb NNP A34005 1644 21 by by IN A34005 1644 22 a a DT A34005 1644 23 Lateral lateral JJ A34005 1644 24 entrance entrance NN A34005 1644 25 , , , A34005 1644 26 and and CC A34005 1644 27 have have VBP A34005 1644 28 enlarged enlarge VBN A34005 1644 29 upon upon IN A34005 1644 30 many many JJ A34005 1644 31 more more JJR A34005 1644 32 Propositions proposition NNS A34005 1644 33 , , , A34005 1644 34 which which WDT A34005 1644 35 shall shall MD A34005 1644 36 be be VB A34005 1644 37 handled handle VBN A34005 1644 38 in in IN A34005 1644 39 the the DT A34005 1644 40 great great JJ A34005 1644 41 Quadrants quadrant NNS A34005 1644 42 . . . A34005 1645 1 Mr Mr NNP A34005 1645 2 Sutton Sutton NNP A34005 1645 3 was be VBD A34005 1645 4 willing willing JJ A34005 1645 5 to to TO A34005 1645 6 add add VB A34005 1645 7 a a DT A34005 1645 8 Backside backside NN A34005 1645 9 to to IN A34005 1645 10 this this DT A34005 1645 11 Scale Scale NNP A34005 1645 12 , , , A34005 1645 13 and and CC A34005 1645 14 therefore therefore RB A34005 1645 15 hath hath NNP A34005 1645 16 put put VBN A34005 1645 17 on on RP A34005 1645 18 particular particular JJ A34005 1645 19 Scales scale NNS A34005 1645 20 of of IN A34005 1645 21 his -PRON- PRP$ A34005 1645 22 own own JJ A34005 1645 23 for for IN A34005 1645 24 giving give VBG A34005 1645 25 the the DT A34005 1645 26 requisites requisite NNS A34005 1645 27 of of IN A34005 1645 28 an an DT A34005 1645 29 upright upright JJ A34005 1645 30 Decliner Decliner NNP A34005 1645 31 in in IN A34005 1645 32 this this DT A34005 1645 33 Latitude Latitude NNP A34005 1645 34 , , , A34005 1645 35 which which WDT A34005 1645 36 he -PRON- PRP A34005 1645 37 hath hath NN A34005 1645 38 often often RB A34005 1645 39 made make VBN A34005 1645 40 upon upon IN A34005 1645 41 Rulers ruler NNS A34005 1645 42 for for IN A34005 1645 43 Carpenters Carpenters NNPS A34005 1645 44 and and CC A34005 1645 45 other other JJ A34005 1645 46 Artificers Artificers NNPS A34005 1645 47 and and CC A34005 1645 48 Diallists Diallists NNPS A34005 1645 49 , , , A34005 1645 50 and and CC A34005 1645 51 whereof whereof NNP A34005 1645 52 he -PRON- PRP A34005 1645 53 was be VBD A34005 1645 54 willing willing JJ A34005 1645 55 to to TO A34005 1645 56 afford afford VB A34005 1645 57 them -PRON- PRP A34005 1645 58 a a DT A34005 1645 59 Print Print NNP A34005 1645 60 ; ; : A34005 1645 61 whereto whereto NN A34005 1645 62 I -PRON- PRP A34005 1645 63 have have VBP A34005 1645 64 added add VBN A34005 1645 65 other other JJ A34005 1645 66 Scales Scales NNP A34005 1645 67 for for IN A34005 1645 68 giving give VBG A34005 1645 69 the the DT A34005 1645 70 Hour Hour NNP A34005 1645 71 and and CC A34005 1645 72 Azimuth Azimuth NNP A34005 1645 73 near near IN A34005 1645 74 Noon Noon NNP A34005 1645 75 . . . A34005 1646 1 On on IN A34005 1646 2 the the DT A34005 1646 3 Backside Backside NNP A34005 1646 4 are be VBP A34005 1646 5 drawn draw VBN A34005 1646 6 these these DT A34005 1646 7 Lines line NNS A34005 1646 8 , , , A34005 1646 9 A a DT A34005 1646 10 large large JJ A34005 1646 11 Dyalling dyalle VBG A34005 1646 12 Scale scale NN A34005 1646 13 of of IN A34005 1646 14 6 6 CD A34005 1646 15 hours hour NNS A34005 1646 16 or or CC A34005 1646 17 double double JJ A34005 1646 18 Tangents tangent NNS A34005 1646 19 , , , A34005 1646 20 with with IN A34005 1646 21 a a DT A34005 1646 22 Line Line NNP A34005 1646 23 of of IN A34005 1646 24 Latitudes Latitudes NNPS A34005 1646 25 fitted fit VBD A34005 1646 26 thereto thereto NN A34005 1646 27 . . . A34005 1647 1 A a DT A34005 1647 2 large large JJ A34005 1647 3 Chord Chord NNP A34005 1647 4 . . . A34005 1648 1 A a DT A34005 1648 2 Line line NN A34005 1648 3 for for IN A34005 1648 4 the the DT A34005 1648 5 Substiles Substiles NNP A34005 1648 6 distance distance NN A34005 1648 7 from from IN A34005 1648 8 the the DT A34005 1648 9 Meridian Meridian NNP A34005 1648 10 . . . A34005 1649 1 A a DT A34005 1649 2 Line line NN A34005 1649 3 for for IN A34005 1649 4 the the DT A34005 1649 5 Stiles Stiles NNP A34005 1649 6 height height NN A34005 1649 7 . . . A34005 1650 1 A a DT A34005 1650 2 Line line NN A34005 1650 3 for for IN A34005 1650 4 the the DT A34005 1650 5 angle angle NN A34005 1650 6 of of IN A34005 1650 7 12 12 CD A34005 1650 8 and and CC A34005 1650 9 6 6 CD A34005 1650 10 . . . A34005 1651 1 A a DT A34005 1651 2 Line line NN A34005 1651 3 for for IN A34005 1651 4 the the DT A34005 1651 5 inclination inclination NN A34005 1651 6 of of IN A34005 1651 7 Meridians Meridians NNPS A34005 1651 8 . . . A34005 1652 1 All all PDT A34005 1652 2 these these DT A34005 1652 3 Scales scale NNS A34005 1652 4 relate relate VBP A34005 1652 5 to to IN A34005 1652 6 Dyalling dyalle VBG A34005 1652 7 . . . A34005 1653 1 An an DT A34005 1653 2 Azimuth Azimuth NNP A34005 1653 3 Scale Scale NNP A34005 1653 4 being be VBG A34005 1653 5 two two CD A34005 1653 6 Lines line NNS A34005 1653 7 of of IN A34005 1653 8 natural natural JJ A34005 1653 9 sines sine NNS A34005 1653 10 of of IN A34005 1653 11 the the DT A34005 1653 12 same same JJ A34005 1653 13 Radius Radius NNP A34005 1653 14 set set VBN A34005 1653 15 together together RB A34005 1653 16 at at IN A34005 1653 17 O o NN A34005 1653 18 , , , A34005 1653 19 and and CC A34005 1653 20 thence thence NN A34005 1653 21 numbred numbre VBN A34005 1653 22 with with IN A34005 1653 23 Declinations declination NNS A34005 1653 24 , , , A34005 1653 25 this this DT A34005 1653 26 Scale scale NN A34005 1653 27 must must MD A34005 1653 28 be be VB A34005 1653 29 made make VBN A34005 1653 30 of of IN A34005 1653 31 the the DT A34005 1653 32 same same JJ A34005 1653 33 sine sine NN A34005 1653 34 that that WDT A34005 1653 35 the the DT A34005 1653 36 hour hour NN A34005 1653 37 Scale scale NN A34005 1653 38 following following NN A34005 1653 39 is be VBZ A34005 1653 40 made make VBN A34005 1653 41 of of IN A34005 1653 42 continued continue VBN A34005 1653 43 from from IN A34005 1653 44 O o NN A34005 1653 45 one one CD A34005 1653 46 way way NN A34005 1653 47 to to IN A34005 1653 48 38d 38d CD A34005 1653 49 28′ 28′ CD A34005 1653 50 , , , A34005 1653 51 and and CC A34005 1653 52 the the DT A34005 1653 53 other other JJ A34005 1653 54 way way NN A34005 1653 55 to to IN A34005 1653 56 23d 23d CD A34005 1653 57 31′ 31′ CD A34005 1653 58 or or CC A34005 1653 59 further far RBR A34005 1653 60 at at IN A34005 1653 61 pleasure pleasure NN A34005 1653 62 ; ; : A34005 1653 63 but but CC A34005 1653 64 numbred numbre VBN A34005 1653 65 from from IN A34005 1653 66 the the DT A34005 1653 67 beginning beginning NN A34005 1653 68 which which WDT A34005 1653 69 is be VBZ A34005 1653 70 at at IN A34005 1653 71 the the DT A34005 1653 72 end end NN A34005 1653 73 of of IN A34005 1653 74 that that DT A34005 1653 75 38d 38d NNS A34005 1653 76 28′ 28′ CD A34005 1653 77 the the DT A34005 1653 78 Complement Complement NNP A34005 1653 79 of of IN A34005 1653 80 the the DT A34005 1653 81 Latitude Latitude NNP A34005 1653 82 with with IN A34005 1653 83 10d 10d NNS A34005 1653 84 20′ 20′ CD A34005 1653 85 , , , A34005 1653 86 & & CC A34005 1653 87 c. c. NNP A34005 1653 88 up up IN A34005 1653 89 to to IN A34005 1653 90 60d 60d NNS A34005 1653 91 . . . A34005 1654 1 The the DT A34005 1654 2 Hour Hour NNP A34005 1654 3 Scale Scale NNP A34005 1654 4 is be VBZ A34005 1654 5 no no DT A34005 1654 6 other other JJ A34005 1654 7 then then RB A34005 1654 8 a a DT A34005 1654 9 Line Line NNP A34005 1654 10 of of IN A34005 1654 11 sines sine NNS A34005 1654 12 with with IN A34005 1654 13 the the DT A34005 1654 14 declinations declination NNS A34005 1654 15 set set VBN A34005 1654 16 against against IN A34005 1654 17 the the DT A34005 1654 18 Meridian Meridian NNP A34005 1654 19 Altitudes Altitudes NNPS A34005 1654 20 in in IN A34005 1654 21 the the DT A34005 1654 22 Latitude Latitude NNP A34005 1654 23 of of IN A34005 1654 24 London London NNP A34005 1654 25 , , , A34005 1654 26 the the DT A34005 1654 27 Radius Radius NNP A34005 1654 28 of of IN A34005 1654 29 which which WDT A34005 1654 30 sine sine NN A34005 1654 31 is be VBZ A34005 1654 32 equal equal JJ A34005 1654 33 in in IN A34005 1654 34 length length NN A34005 1654 35 to to IN A34005 1654 36 the the DT A34005 1654 37 Dyalling Dyalling NNP A34005 1654 38 Scale scale NN A34005 1654 39 of of IN A34005 1654 40 hours hour NNS A34005 1654 41 . . . A34005 1655 1 Of of IN A34005 1655 2 the the DT A34005 1655 3 Vses Vses NNPS A34005 1655 4 of of IN A34005 1655 5 these these DT A34005 1655 6 Scales scale NNS A34005 1655 7 . . . A34005 1656 1 The the DT A34005 1656 2 Line Line NNP A34005 1656 3 of of IN A34005 1656 4 Hours Hours NNPS A34005 1656 5 and and CC A34005 1656 6 Latitudes Latitudes NNP A34005 1656 7 is be VBZ A34005 1656 8 general general JJ A34005 1656 9 for for IN A34005 1656 10 pricking prick VBG A34005 1656 11 down down RP A34005 1656 12 all all DT A34005 1656 13 Dialls diall NNS A34005 1656 14 with with IN A34005 1656 15 Centers Centers NNPS A34005 1656 16 as as IN A34005 1656 17 will will MD A34005 1656 18 afterwards afterwards RB A34005 1656 19 be be VB A34005 1656 20 shewed shew VBN A34005 1656 21 in in IN A34005 1656 22 the the DT A34005 1656 23 Use Use NNP A34005 1656 24 of of IN A34005 1656 25 the the DT A34005 1656 26 great great JJ A34005 1656 27 Quadrant Quadrant NNP A34005 1656 28 , , , A34005 1656 29 and and CC A34005 1656 30 by by IN A34005 1656 31 help help NN A34005 1656 32 of of IN A34005 1656 33 the the DT A34005 1656 34 Scale Scale NNP A34005 1656 35 of of IN A34005 1656 36 Hours hour NNS A34005 1656 37 may may MD A34005 1656 38 the the DT A34005 1656 39 Diameter Diameter NNP A34005 1656 40 of of IN A34005 1656 41 a a DT A34005 1656 42 such such PDT A34005 1656 43 a a DT A34005 1656 44 Circle Circle NNP A34005 1656 45 be be VB A34005 1656 46 graduated graduate VBN A34005 1656 47 as as IN A34005 1656 48 is be VBZ A34005 1656 49 placed place VBN A34005 1656 50 in in RP A34005 1656 51 on on IN A34005 1656 52 the the DT A34005 1656 53 back back NN A34005 1656 54 of of IN A34005 1656 55 the the DT A34005 1656 56 great great JJ A34005 1656 57 Quadrant Quadrant NNP A34005 1656 58 , , , A34005 1656 59 and and CC A34005 1656 60 the the DT A34005 1656 61 Line Line NNP A34005 1656 62 of of IN A34005 1656 63 Latitudes Latitudes NNPS A34005 1656 64 will will MD A34005 1656 65 serve serve VB A34005 1656 66 as as IN A34005 1656 67 a a DT A34005 1656 68 Chord Chord NNP A34005 1656 69 to to TO A34005 1656 70 divide divide VB A34005 1656 71 the the DT A34005 1656 72 upper upper JJ A34005 1656 73 Quadrant Quadrant NNP A34005 1656 74 , , , A34005 1656 75 and and CC A34005 1656 76 the the DT A34005 1656 77 Hour Hour NNP A34005 1656 78 Scale Scale NNP A34005 1656 79 or or CC A34005 1656 80 Line Line NNP A34005 1656 81 of of IN A34005 1656 82 Sines Sines NNPS A34005 1656 83 will will MD A34005 1656 84 serve serve VB A34005 1656 85 as as IN A34005 1656 86 a a DT A34005 1656 87 Chord Chord NNP A34005 1656 88 to to TO A34005 1656 89 divide divide VB A34005 1656 90 a a DT A34005 1656 91 Semicircle Semicircle NNP A34005 1656 92 , , , A34005 1656 93 whose whose WP$ A34005 1656 94 Diameter diameter NN A34005 1656 95 is be VBZ A34005 1656 96 equal equal JJ A34005 1656 97 to to IN A34005 1656 98 the the DT A34005 1656 99 Scale Scale NNP A34005 1656 100 of of IN A34005 1656 101 Hours hour NNS A34005 1656 102 into into IN A34005 1656 103 90 90 CD A34005 1656 104 equal equal JJ A34005 1656 105 parts part NNS A34005 1656 106 and and CC A34005 1656 107 their -PRON- PRP$ A34005 1656 108 Subdivisions subdivision NNS A34005 1656 109 , , , A34005 1656 110 and and CC A34005 1656 111 hereby hereby NNP A34005 1656 112 may may MD A34005 1656 113 Proportions Proportions NNP A34005 1656 114 in in IN A34005 1656 115 sines sine NNS A34005 1656 116 and and CC A34005 1656 117 Tangents Tangents NNP A34005 1656 118 , , , A34005 1656 119 or or CC A34005 1656 120 Tangents Tangents NNP A34005 1656 121 alone alone RB A34005 1656 122 be be VB A34005 1656 123 wrought work VBN A34005 1656 124 by by IN A34005 1656 125 Protraction protraction NN A34005 1656 126 , , , A34005 1656 127 and and CC A34005 1656 128 so so RB A34005 1656 129 the the DT A34005 1656 130 necessary necessary JJ A34005 1656 131 Arks Arks NNP A34005 1656 132 in in IN A34005 1656 133 Dyalling dyalling NN A34005 1656 134 found find VBN A34005 1656 135 generally generally RB A34005 1656 136 as as IN A34005 1656 137 is be VBZ A34005 1656 138 done do VBN A34005 1656 139 by by IN A34005 1656 140 Mr Mr NNP A34005 1656 141 Foster Foster NNP A34005 1656 142 in in IN A34005 1656 143 the the DT A34005 1656 144 three three CD A34005 1656 145 last last JJ A34005 1656 146 Schems schem NNS A34005 1656 147 of of IN A34005 1656 148 his -PRON- PRP$ A34005 1656 149 Posthuma Posthuma NNS A34005 1656 150 , , , A34005 1656 151 this this DT A34005 1656 152 will will MD A34005 1656 153 easily easily RB A34005 1656 154 be be VB A34005 1656 155 understood understand VBN A34005 1656 156 if if IN A34005 1656 157 the the DT A34005 1656 158 use use NN A34005 1656 159 of of IN A34005 1656 160 the the DT A34005 1656 161 Circle Circle NNP A34005 1656 162 on on IN A34005 1656 163 this this DT A34005 1656 164 Quadrant Quadrant NNP A34005 1656 165 be be VB A34005 1656 166 well well RB A34005 1656 167 apprehended apprehend VBN A34005 1656 168 . . . A34005 1657 1 The the DT A34005 1657 2 particular particular JJ A34005 1657 3 Scales Scales NNP A34005 1657 4 give give VBP A34005 1657 5 the the DT A34005 1657 6 requisite requisite JJ A34005 1657 7 Arks Arks NNPS A34005 1657 8 of of IN A34005 1657 9 upright upright JJ A34005 1657 10 Decliners Decliners NNPS A34005 1657 11 in in IN A34005 1657 12 this this DT A34005 1657 13 Latitude Latitude NNP A34005 1657 14 by by IN A34005 1657 15 inspection inspection NN A34005 1657 16 , , , A34005 1657 17 for for IN A34005 1657 18 count count NN A34005 1657 19 the the DT A34005 1657 20 plaines plaines JJ A34005 1657 21 Declination Declination NNP A34005 1657 22 in in IN A34005 1657 23 the the DT A34005 1657 24 Line Line NNP A34005 1657 25 of of IN A34005 1657 26 Chords Chords NNPS A34005 1657 27 , , , A34005 1657 28 and and CC A34005 1657 29 a a DT A34005 1657 30 Square Square NNP A34005 1657 31 laid lay VBN A34005 1657 32 over over IN A34005 1657 33 it -PRON- PRP A34005 1657 34 intersects intersect VBZ A34005 1657 35 all all PDT A34005 1657 36 those those DT A34005 1657 37 Arks Arks NNPS A34005 1657 38 or or CC A34005 1657 39 to to TO A34005 1657 40 be be VB A34005 1657 41 found find VBN A34005 1657 42 by by IN A34005 1657 43 applying apply VBG A34005 1657 44 the the DT A34005 1657 45 Declination Declination NNP A34005 1657 46 taken take VBN A34005 1657 47 out out IN A34005 1657 48 of of IN A34005 1657 49 the the DT A34005 1657 50 Chords Chords NNPS A34005 1657 51 with with IN A34005 1657 52 Compasses compass NNS A34005 1657 53 to to IN A34005 1657 54 every every DT A34005 1657 55 other other JJ A34005 1657 56 Line line NN A34005 1657 57 . . . A34005 1658 1 Example example NN A34005 1658 2 . . . A34005 1659 1 So so RB A34005 1659 2 if if IN A34005 1659 3 an an DT A34005 1659 4 upright upright JJ A34005 1659 5 Plain plain JJ A34005 1659 6 decline decline NN A34005 1659 7 35d 35d NNS A34005 1659 8 from from IN A34005 1659 9 the the DT A34005 1659 10 Meridian Meridian NNP A34005 1659 11 . . . A34005 1660 1 The the DT A34005 1660 2 Substiles Substiles NNP A34005 1660 3 distance distance NN A34005 1660 4 from from IN A34005 1660 5 the the DT A34005 1660 6 Meridian Meridian NNP A34005 1660 7 will will MD A34005 1660 8 be be VB A34005 1660 9 — — : A34005 1660 10 24d 24d CD A34005 1660 11 30′ 30′ CD A34005 1660 12 The the DT A34005 1660 13 Stiles Stiles NNP A34005 1660 14 height height NN A34005 1660 15 — — : A34005 1660 16 30 30 CD A34005 1660 17 38 38 CD A34005 1660 18 The the DT A34005 1660 19 Inclinations Inclinations NNPS A34005 1660 20 of of IN A34005 1660 21 Meridians Meridians NNPS A34005 1660 22 — — : A34005 1660 23 41 41 CD A34005 1660 24 49′ 49′ CD A34005 1660 25 The the DT A34005 1660 26 angle angle NN A34005 1660 27 of of IN A34005 1660 28 12 12 CD A34005 1660 29 and and CC A34005 1660 30 6 6 CD A34005 1660 31 — — : A34005 1660 32 54 54 CD A34005 1660 33 10 10 CD A34005 1660 34 These these DT A34005 1660 35 particular particular JJ A34005 1660 36 Scales Scales NNP A34005 1660 37 also also RB A34005 1660 38 resolve resolve VB A34005 1660 39 some some DT A34005 1660 40 of of IN A34005 1660 41 the the DT A34005 1660 42 Cases case NNS A34005 1660 43 of of IN A34005 1660 44 right right RB A34005 1660 45 angled angle VBN A34005 1660 46 Sphoerical Sphoerical NNP A34005 1660 47 Triangles Triangles NNPS A34005 1660 48 , , , A34005 1660 49 relating relate VBG A34005 1660 50 to to IN A34005 1660 51 the the DT A34005 1660 52 Motion Motion NNP A34005 1660 53 of of IN A34005 1660 54 the the DT A34005 1660 55 Sun Sun NNP A34005 1660 56 or or CC A34005 1660 57 Stars Stars NNP A34005 1660 58 thus thus RB A34005 1660 59 , , , A34005 1660 60 Of of IN A34005 1660 61 the the DT A34005 1660 62 Line Line NNP A34005 1660 63 of of IN A34005 1660 64 the the DT A34005 1660 65 Stiles Stiles NNP A34005 1660 66 height height NN A34005 1660 67 . . . A34005 1661 1 Account account VB A34005 1661 2 the the DT A34005 1661 3 Declination declination NN A34005 1661 4 in in IN A34005 1661 5 the the DT A34005 1661 6 Line Line NNP A34005 1661 7 for for IN A34005 1661 8 the the DT A34005 1661 9 Stiles Stiles NNP A34005 1661 10 height height NN A34005 1661 11 , , , A34005 1661 12 and and CC A34005 1661 13 against against IN A34005 1661 14 it -PRON- PRP A34005 1661 15 in in IN A34005 1661 16 the the DT A34005 1661 17 Chord Chord NNP A34005 1661 18 stands stand VBZ A34005 1661 19 the the DT A34005 1661 20 Amplitude Amplitude NNP A34005 1661 21 of of IN A34005 1661 22 the the DT A34005 1661 23 Sun Sun NNP A34005 1661 24 or or CC A34005 1661 25 Stars Stars NNPS A34005 1661 26 from from IN A34005 1661 27 the the DT A34005 1661 28 Meridian Meridian NNP A34005 1661 29 . . . A34005 1662 1 Example example NN A34005 1662 2 for for IN A34005 1662 3 Amplitude Amplitude NNP A34005 1662 4 . . . A34005 1663 1 So so RB A34005 1663 2 when when WRB A34005 1663 3 the the DT A34005 1663 4 Sun Sun NNP A34005 1663 5 hath hath NNP A34005 1663 6 18d 18d NNS A34005 1663 7 of of IN A34005 1663 8 Declination Declination NNP A34005 1663 9 , , , A34005 1663 10 his -PRON- PRP$ A34005 1663 11 Amplitude Amplitude NNP A34005 1663 12 will will MD A34005 1663 13 be be VB A34005 1663 14 67d 67d NNS A34005 1663 15 13′ 13′ CD A34005 1663 16 from from IN A34005 1663 17 the the DT A34005 1663 18 Meridian Meridian NNP A34005 1663 19 , , , A34005 1663 20 and and CC A34005 1663 21 29d 29d CD A34005 1663 22 47′ 47′ CD A34005 1663 23 from from IN A34005 1663 24 the the DT A34005 1663 25 Vertical Vertical NNP A34005 1663 26 . . . A34005 1664 1 The the DT A34005 1664 2 reason reason NN A34005 1664 3 hereof hereof NN A34005 1664 4 is be VBZ A34005 1664 5 because because IN A34005 1664 6 the the DT A34005 1664 7 two two CD A34005 1664 8 first first JJ A34005 1664 9 fixed fix VBN A34005 1664 10 Tearms tearm NNS A34005 1664 11 of of IN A34005 1664 12 the the DT A34005 1664 13 Proportion proportion NN A34005 1664 14 that that WDT A34005 1664 15 Calculate calculate VBP A34005 1664 16 the the DT A34005 1664 17 Stiles Stiles NNP A34005 1664 18 height height NN A34005 1664 19 are be VBP A34005 1664 20 the the DT A34005 1664 21 Radius Radius NNP A34005 1664 22 and and CC A34005 1664 23 the the DT A34005 1664 24 Co co NN A34005 1664 25 - - NN A34005 1664 26 sine sine NN A34005 1664 27 of of IN A34005 1664 28 the the DT A34005 1664 29 Latitude Latitude NNP A34005 1664 30 , , , A34005 1664 31 and and CC A34005 1664 32 the the DT A34005 1664 33 two two CD A34005 1664 34 first first JJ A34005 1664 35 Tearms tearm NNS A34005 1664 36 that that WDT A34005 1664 37 Calculate calculate VBP A34005 1664 38 the the DT A34005 1664 39 Amplitude Amplitude NNPS A34005 1664 40 are be VBP A34005 1664 41 the the DT A34005 1664 42 Cosine Cosine NNP A34005 1664 43 of of IN A34005 1664 44 the the DT A34005 1664 45 Latitude Latitude NNP A34005 1664 46 and and CC A34005 1664 47 the the DT A34005 1664 48 Radius Radius NNP A34005 1664 49 , , , A34005 1664 50 and and CC A34005 1664 51 therefore therefore RB A34005 1664 52 must must MD A34005 1664 53 as as RB A34005 1664 54 well well RB A34005 1664 55 serve serve VB A34005 1664 56 in in IN A34005 1664 57 this this DT A34005 1664 58 Case Case NNP A34005 1664 59 as as IN A34005 1664 60 in in IN A34005 1664 61 that that DT A34005 1664 62 . . . A34005 1665 1 On on IN A34005 1665 2 this this DT A34005 1665 3 Stile Stile NNP A34005 1665 4 Line Line NNP A34005 1665 5 may may MD A34005 1665 6 be be VB A34005 1665 7 found find VBN A34005 1665 8 the the DT A34005 1665 9 Suns Suns NNPS A34005 1665 10 Altitudes Altitudes NNPS A34005 1665 11 on on IN A34005 1665 12 all all DT A34005 1665 13 hours hour NNS A34005 1665 14 , , , A34005 1665 15 when when WRB A34005 1665 16 he -PRON- PRP A34005 1665 17 is be VBZ A34005 1665 18 in in IN A34005 1665 19 the the DT A34005 1665 20 Equinoctial Equinoctial NNP A34005 1665 21 by by IN A34005 1665 22 applying apply VBG A34005 1665 23 the the DT A34005 1665 24 hour hour NN A34005 1665 25 from from IN A34005 1665 26 six six CD A34005 1665 27 taken take VBN A34005 1665 28 from from IN A34005 1665 29 the the DT A34005 1665 30 Chords Chords NNPS A34005 1665 31 to to IN A34005 1665 32 the the DT A34005 1665 33 other other JJ A34005 1665 34 end end NN A34005 1665 35 of of IN A34005 1665 36 the the DT A34005 1665 37 Stile Stile NNP A34005 1665 38 Line Line NNP A34005 1665 39 . . . A34005 1666 1 Of of IN A34005 1666 2 the the DT A34005 1666 3 Substiler Substiler NNP A34005 1666 4 Line Line NNP A34005 1666 5 . . . A34005 1667 1 Hereby Hereby NNP A34005 1667 2 we -PRON- PRP A34005 1667 3 may may MD A34005 1667 4 find find VB A34005 1667 5 the the DT A34005 1667 6 time time NN A34005 1667 7 of of IN A34005 1667 8 Sun Sun NNP A34005 1667 9 rising rise VBG A34005 1667 10 and and CC A34005 1667 11 setting set VBG A34005 1667 12 , , , A34005 1667 13 take take VB A34005 1667 14 the the DT A34005 1667 15 Declination declination NN A34005 1667 16 out out IN A34005 1667 17 of of IN A34005 1667 18 the the DT A34005 1667 19 Substilar Substilar NNP A34005 1667 20 Line Line NNP A34005 1667 21 and and CC A34005 1667 22 measure measure VB A34005 1667 23 it -PRON- PRP A34005 1667 24 on on IN A34005 1667 25 the the DT A34005 1667 26 Line Line NNP A34005 1667 27 of of IN A34005 1667 28 Chords Chords NNPS A34005 1667 29 . . . A34005 1668 1 Example example NN A34005 1668 2 . . . A34005 1669 1 So so RB A34005 1669 2 when when WRB A34005 1669 3 the the DT A34005 1669 4 Sun Sun NNP A34005 1669 5 hath hath NNP A34005 1669 6 18 18 CD A34005 1669 7 of of IN A34005 1669 8 North North NNP A34005 1669 9 Declination Declination NNP A34005 1669 10 , , , A34005 1669 11 the the DT A34005 1669 12 Ascensional ascensional JJ A34005 1669 13 difference difference NN A34005 1669 14 is be VBZ A34005 1669 15 24d 24d CD A34005 1669 16 9′ 9′ CD A34005 1669 17 in in IN A34005 1669 18 time time NN A34005 1669 19 1 1 CD A34005 1669 20 hour hour NN A34005 1669 21 36½ 36½ CD A34005 1669 22 minutes minute NNS A34005 1669 23 , , , A34005 1669 24 and and CC A34005 1669 25 so so RB A34005 1669 26 much much RB A34005 1669 27 the the DT A34005 1669 28 Sun Sun NNP A34005 1669 29 rises rise VBZ A34005 1669 30 and and CC A34005 1669 31 sets set NNS A34005 1669 32 from from IN A34005 1669 33 six six CD A34005 1669 34 . . . A34005 1670 1 Hereby Hereby NNP A34005 1670 2 may may MD A34005 1670 3 be be VB A34005 1670 4 also also RB A34005 1670 5 found find VBN A34005 1670 6 the the DT A34005 1670 7 Equinoctial Equinoctial NNP A34005 1670 8 Altitudes Altitudes NNPS A34005 1670 9 to to IN A34005 1670 10 every every DT A34005 1670 11 Azimuth Azimuth NNP A34005 1670 12 . . . A34005 1671 1 Of of IN A34005 1671 2 the the DT A34005 1671 3 Line Line NNP A34005 1671 4 for for IN A34005 1671 5 the the DT A34005 1671 6 Angle angle NN A34005 1671 7 of of IN A34005 1671 8 12 12 CD A34005 1671 9 and and CC A34005 1671 10 6 6 CD A34005 1671 11 . . . A34005 1672 1 Hereby Hereby NNP A34005 1672 2 we -PRON- PRP A34005 1672 3 may may MD A34005 1672 4 find find VB A34005 1672 5 the the DT A34005 1672 6 time time NN A34005 1672 7 when when WRB A34005 1672 8 the the DT A34005 1672 9 Sun Sun NNP A34005 1672 10 will will MD A34005 1672 11 be be VB A34005 1672 12 due due JJ A34005 1672 13 East East NNP A34005 1672 14 or or CC A34005 1672 15 West West NNP A34005 1672 16 . . . A34005 1673 1 Account Account NNP A34005 1673 2 the the DT A34005 1673 3 Complement Complement NNP A34005 1673 4 of of IN A34005 1673 5 the the DT A34005 1673 6 Declination declination NN A34005 1673 7 in in IN A34005 1673 8 this this DT A34005 1673 9 Scale Scale NNP A34005 1673 10 , , , A34005 1673 11 and and CC A34005 1673 12 against against IN A34005 1673 13 it -PRON- PRP A34005 1673 14 in in IN A34005 1673 15 the the DT A34005 1673 16 Chords Chords NNPS A34005 1673 17 stands stand VBZ A34005 1673 18 the the DT A34005 1673 19 hour hour NN A34005 1673 20 from from IN A34005 1673 21 six six CD A34005 1673 22 . . . A34005 1674 1 Example example NN A34005 1674 2 . . . A34005 1675 1 So so RB A34005 1675 2 when when WRB A34005 1675 3 the the DT A34005 1675 4 Sun Sun NNP A34005 1675 5 hath hath NNP A34005 1675 6 18d 18d NNS A34005 1675 7 of of IN A34005 1675 8 North North NNP A34005 1675 9 Declination Declination NNP A34005 1675 10 , , , A34005 1675 11 he -PRON- PRP A34005 1675 12 will will MD A34005 1675 13 be be VB A34005 1675 14 East East NNP A34005 1675 15 or or CC A34005 1675 16 West West NNP A34005 1675 17 at at IN A34005 1675 18 7 7 CD A34005 1675 19 in in IN A34005 1675 20 the the DT A34005 1675 21 morning morning NN A34005 1675 22 , , , A34005 1675 23 or or CC A34005 1675 24 5 5 CD A34005 1675 25 in in IN A34005 1675 26 the the DT A34005 1675 27 afternon afternon NN A34005 1675 28 . . . A34005 1676 1 By by IN A34005 1676 2 these these DT A34005 1676 3 Scales scale NNS A34005 1676 4 the the DT A34005 1676 5 requisites requisite NNS A34005 1676 6 of of IN A34005 1676 7 an an DT A34005 1676 8 East East NNP A34005 1676 9 or or CC A34005 1676 10 West West NNP A34005 1676 11 Reclining Reclining NNP A34005 1676 12 or or CC A34005 1676 13 Inclining incline VBG A34005 1676 14 Diall Diall NNP A34005 1676 15 in in IN A34005 1676 16 this this DT A34005 1676 17 Latitude Latitude NNP A34005 1676 18 may may MD A34005 1676 19 be be VB A34005 1676 20 found find VBN A34005 1676 21 . . . A34005 1677 1 1 1 LS A34005 1677 2 . . . A34005 1678 1 The the DT A34005 1678 2 Substiles Substiles NNP A34005 1678 3 distance distance NN A34005 1678 4 from from IN A34005 1678 5 the the DT A34005 1678 6 Meridian Meridian NNP A34005 1678 7 . . . A34005 1679 1 Account Account NNP A34005 1679 2 the the DT A34005 1679 3 Complement Complement NNP A34005 1679 4 of of IN A34005 1679 5 the the DT A34005 1679 6 Reclination Reclination NNP A34005 1679 7 Inclination Inclination NNP A34005 1679 8 in in IN A34005 1679 9 the the DT A34005 1679 10 Chords Chords NNPS A34005 1679 11 , , , A34005 1679 12 and and CC A34005 1679 13 against against IN A34005 1679 14 it -PRON- PRP A34005 1679 15 in in IN A34005 1679 16 the the DT A34005 1679 17 Line Line NNP A34005 1679 18 for for IN A34005 1679 19 12 12 CD A34005 1679 20 and and CC A34005 1679 21 6 6 CD A34005 1679 22 stands stand VBZ A34005 1679 23 the the DT A34005 1679 24 Complement Complement NNP A34005 1679 25 of of IN A34005 1679 26 the the DT A34005 1679 27 angle angle NN A34005 1679 28 sought seek VBN A34005 1679 29 . . . A34005 1680 1 2 2 LS A34005 1680 2 . . . A34005 1681 1 For for IN A34005 1681 2 the the DT A34005 1681 3 Stiles Stiles NNP A34005 1681 4 height height NN A34005 1681 5 . . . A34005 1682 1 Apply apply VB A34005 1682 2 the the DT A34005 1682 3 Reclination reclination NN A34005 1682 4 in in IN A34005 1682 5 the the DT A34005 1682 6 lesser less JJR A34005 1682 7 sines sine NNS A34005 1682 8 on on IN A34005 1682 9 the the DT A34005 1682 10 Diagonal Diagonal NNP A34005 1682 11 Scale Scale NNP A34005 1682 12 in in IN A34005 1682 13 the the DT A34005 1682 14 Parralel Parralel NNP A34005 1682 15 proper proper JJ A34005 1682 16 to to IN A34005 1682 17 the the DT A34005 1682 18 Latitude Latitude NNP A34005 1682 19 to to IN A34005 1682 20 the the DT A34005 1682 21 greater great JJR A34005 1682 22 sine sine NN A34005 1682 23 and and CC A34005 1682 24 it -PRON- PRP A34005 1682 25 shewes shew VBZ A34005 1682 26 the the DT A34005 1682 27 Ark Ark NNP A34005 1682 28 sought seek VBD A34005 1682 29 . . . A34005 1683 1 3 3 LS A34005 1683 2 . . . A34005 1684 1 For for IN A34005 1684 2 the the DT A34005 1684 3 Inclination Inclination NNP A34005 1684 4 of of IN A34005 1684 5 Meridians Meridians NNPS A34005 1684 6 . . . A34005 1685 1 This this DT A34005 1685 2 may may MD A34005 1685 3 be be VB A34005 1685 4 also also RB A34005 1685 5 found find VBN A34005 1685 6 on on IN A34005 1685 7 the the DT A34005 1685 8 Diagonal Diagonal NNP A34005 1685 9 Scale Scale NNP A34005 1685 10 when when WRB A34005 1685 11 the the DT A34005 1685 12 Substiles Substiles NNP A34005 1685 13 distance distance NN A34005 1685 14 is be VBZ A34005 1685 15 not not RB A34005 1685 16 more more JJR A34005 1685 17 then then RB A34005 1685 18 the the DT A34005 1685 19 Latitude Latitude NNP A34005 1685 20 , , , A34005 1685 21 By by IN A34005 1685 22 Accounting account VBG A34005 1685 23 the the DT A34005 1685 24 Substiles Substiles NNP A34005 1685 25 distance distance NN A34005 1685 26 on on IN A34005 1685 27 the the DT A34005 1685 28 greater great JJR A34005 1685 29 sine sine NN A34005 1685 30 , , , A34005 1685 31 and and CC A34005 1685 32 applying apply VBG A34005 1685 33 it -PRON- PRP A34005 1685 34 to to IN A34005 1685 35 the the DT A34005 1685 36 lesser less JJR A34005 1685 37 . . . A34005 1686 1 4 4 LS A34005 1686 2 . . . A34005 1687 1 For for IN A34005 1687 2 the the DT A34005 1687 3 Angle Angle NNP A34005 1687 4 of of IN A34005 1687 5 12 12 CD A34005 1687 6 and and CC A34005 1687 7 six six CD A34005 1687 8 . . . A34005 1688 1 Account Account NNP A34005 1688 2 the the DT A34005 1688 3 Complement Complement NNP A34005 1688 4 of of IN A34005 1688 5 the the DT A34005 1688 6 Reclination Reclination NNP A34005 1688 7 in in IN A34005 1688 8 the the DT A34005 1688 9 Chords Chords NNPS A34005 1688 10 , , , A34005 1688 11 and and CC A34005 1688 12 against against IN A34005 1688 13 it -PRON- PRP A34005 1688 14 in in IN A34005 1688 15 the the DT A34005 1688 16 Substilar Substilar NNP A34005 1688 17 Line Line NNP A34005 1688 18 is be VBZ A34005 1688 19 the the DT A34005 1688 20 Complement Complement NNP A34005 1688 21 of of IN A34005 1688 22 the the DT A34005 1688 23 angle angle NN A34005 1688 24 sought seek VBN A34005 1688 25 . . . A34005 1689 1 So so RB A34005 1689 2 if if IN A34005 1689 3 an an DT A34005 1689 4 East East NNP A34005 1689 5 or or CC A34005 1689 6 West West NNP A34005 1689 7 Plain Plain NNP A34005 1689 8 Recline Recline NNP A34005 1689 9 or or CC A34005 1689 10 Incline Incline NNP A34005 1689 11 35d 35d NNS A34005 1689 12 . . . A34005 1690 1 The the DT A34005 1690 2 Substiles Substiles NNP A34005 1690 3 distance distance NN A34005 1690 4 from from IN A34005 1690 5 the the DT A34005 1690 6 Meridian Meridian NNP A34005 1690 7 will will MD A34005 1690 8 be be VB A34005 1690 9 — — : A34005 1690 10 45d 45d CD A34005 1690 11 52′ 52′ CD A34005 1690 12 The the DT A34005 1690 13 Stiles Stiles NNP A34005 1690 14 height height NN A34005 1690 15 — — : A34005 1690 16 26 26 CD A34005 1690 17 41 41 CD A34005 1690 18 The the DT A34005 1690 19 Inclination Inclination NNP A34005 1690 20 of of IN A34005 1690 21 Meridians Meridians NNPS A34005 1690 22 — — : A34005 1690 23 66 66 CD A34005 1690 24 27 27 CD A34005 1690 25 And and CC A34005 1690 26 the the DT A34005 1690 27 angle angle NN A34005 1690 28 of of IN A34005 1690 29 12 12 CD A34005 1690 30 and and CC A34005 1690 31 6 6 CD A34005 1690 32 — — : A34005 1690 33 56 56 CD A34005 1690 34 55 55 CD A34005 1690 35 Of of IN A34005 1690 36 the the DT A34005 1690 37 Hour Hour NNP A34005 1690 38 and and CC A34005 1690 39 Azimuth Azimuth NNP A34005 1690 40 Scales Scales NNP A34005 1690 41 . . . A34005 1691 1 This this DT A34005 1691 2 Scale scale NN A34005 1691 3 is be VBZ A34005 1691 4 fitted fit VBN A34005 1691 5 to to TO A34005 1691 6 find find VB A34005 1691 7 the the DT A34005 1691 8 Hour Hour NNP A34005 1691 9 from from IN A34005 1691 10 Noon Noon NNP A34005 1691 11 in in IN A34005 1691 12 the the DT A34005 1691 13 Versed versed JJ A34005 1691 14 sine sine NN A34005 1691 15 : : : A34005 1691 16 augmented augment VBN A34005 1691 17 , , , A34005 1691 18 and and CC A34005 1691 19 the the DT A34005 1691 20 Proportion proportion NN A34005 1691 21 to to TO A34005 1691 22 be be VB A34005 1691 23 wrought work VBN A34005 1691 24 by by IN A34005 1691 25 it -PRON- PRP A34005 1691 26 the the DT A34005 1691 27 same same JJ A34005 1691 28 as as IN A34005 1691 29 delivered deliver VBN A34005 1691 30 in in IN A34005 1691 31 the the DT A34005 1691 32 use use NN A34005 1691 33 of of IN A34005 1691 34 the the DT A34005 1691 35 small small JJ A34005 1691 36 Quadrant Quadrant NNP A34005 1691 37 . . . A34005 1692 1 As as IN A34005 1692 2 the the DT A34005 1692 3 Cosine Cosine NNP A34005 1692 4 of of IN A34005 1692 5 the the DT A34005 1692 6 Declination Declination NNP A34005 1692 7 , , , A34005 1692 8 Is be VBZ A34005 1692 9 to to IN A34005 1692 10 the the DT A34005 1692 11 Secant secant NN A34005 1692 12 of of IN A34005 1692 13 the the DT A34005 1692 14 Latitude Latitude NNP A34005 1692 15 : : : A34005 1692 16 So so RB A34005 1692 17 is be VBZ A34005 1692 18 the the DT A34005 1692 19 difference difference NN A34005 1692 20 of of IN A34005 1692 21 the the DT A34005 1692 22 sines sine NNS A34005 1692 23 of of IN A34005 1692 24 the the DT A34005 1692 25 Suns Suns NNPS A34005 1692 26 proposed propose VBD A34005 1692 27 and and CC A34005 1692 28 Meridian Meridian NNP A34005 1692 29 Altitude Altitude NNP A34005 1692 30 , , , A34005 1692 31 To to IN A34005 1692 32 the the DT A34005 1692 33 Versed versed JJ A34005 1692 34 sine sine NN A34005 1692 35 of of IN A34005 1692 36 the the DT A34005 1692 37 hour hour NN A34005 1692 38 from from IN A34005 1692 39 Noon Noon NNP A34005 1692 40 . . . A34005 1693 1 And and CC A34005 1693 2 of of IN A34005 1693 3 this this DT A34005 1693 4 one one CD A34005 1693 5 Proportion Proportion NNP A34005 1693 6 we -PRON- PRP A34005 1693 7 make make VBP A34005 1693 8 two two CD A34005 1693 9 by by IN A34005 1693 10 introducing introduce VBG A34005 1693 11 the the DT A34005 1693 12 Radius Radius NNP A34005 1693 13 . . . A34005 1694 1 As as IN A34005 1694 2 the the DT A34005 1694 3 Radius Radius NNP A34005 1694 4 , , , A34005 1694 5 is be VBZ A34005 1694 6 to to IN A34005 1694 7 the the DT A34005 1694 8 Secant Secant NNP A34005 1694 9 of of IN A34005 1694 10 the the DT A34005 1694 11 Latitude Latitude NNP A34005 1694 12 : : : A34005 1694 13 So so RB A34005 1694 14 is be VBZ A34005 1694 15 the the DT A34005 1694 16 former former JJ A34005 1694 17 distance distance NN A34005 1694 18 , , , A34005 1694 19 To to IN A34005 1694 20 a a DT A34005 1694 21 fourth fourth JJ A34005 1694 22 . . . A34005 1695 1 By by IN A34005 1695 2 fitting fit VBG A34005 1695 3 the the DT A34005 1695 4 Radius Radius NNP A34005 1695 5 of of IN A34005 1695 6 the the DT A34005 1695 7 sines sine NNS A34005 1695 8 equal equal JJ A34005 1695 9 in in IN A34005 1695 10 length length NN A34005 1695 11 to to IN A34005 1695 12 the the DT A34005 1695 13 Secant Secant NNP A34005 1695 14 of of IN A34005 1695 15 the the DT A34005 1695 16 Latiude Latiude NNP A34005 1695 17 ; ; : A34005 1695 18 this this DT A34005 1695 19 first first JJ A34005 1695 20 Proportion proportion NN A34005 1695 21 is be VBZ A34005 1695 22 removed remove VBN A34005 1695 23 for for IN A34005 1695 24 the the DT A34005 1695 25 said say VBN A34005 1695 26 difference difference NN A34005 1695 27 of of IN A34005 1695 28 sines sine NNS A34005 1695 29 taken take VBN A34005 1695 30 out out IN A34005 1695 31 of of IN A34005 1695 32 this this DT A34005 1695 33 fitted fitted JJ A34005 1695 34 Scale Scale NNP A34005 1695 35 is be VBZ A34005 1695 36 the the DT A34005 1695 37 4th 4th JJ A34005 1695 38 Proportional Proportional NNP A34005 1695 39 , , , A34005 1695 40 the the DT A34005 1695 41 Proportion proportion NN A34005 1695 42 that that WDT A34005 1695 43 remains remain VBZ A34005 1695 44 to to TO A34005 1695 45 be be VB A34005 1695 46 wrought work VBN A34005 1695 47 upon upon IN A34005 1695 48 the the DT A34005 1695 49 Quadrant Quadrant NNP A34005 1695 50 is be VBZ A34005 1695 51 , , , A34005 1695 52 As as IN A34005 1695 53 the the DT A34005 1695 54 Cosine Cosine NNP A34005 1695 55 of of IN A34005 1695 56 the the DT A34005 1695 57 Declination Declination NNP A34005 1695 58 , , , A34005 1695 59 Is be VBZ A34005 1695 60 to to IN A34005 1695 61 the the DT A34005 1695 62 difference difference NN A34005 1695 63 of of IN A34005 1695 64 the the DT A34005 1695 65 sines sine NNS A34005 1695 66 taken take VBN A34005 1695 67 out out IN A34005 1695 68 of of IN A34005 1695 69 this this DT A34005 1695 70 fitted fitted JJ A34005 1695 71 Scale scale NN A34005 1695 72 : : : A34005 1695 73 So so RB A34005 1695 74 is be VBZ A34005 1695 75 the the DT A34005 1695 76 Radius Radius NNP A34005 1695 77 , , , A34005 1695 78 To to IN A34005 1695 79 the the DT A34005 1695 80 Versed versed JJ A34005 1695 81 sine sine NN A34005 1695 82 of of IN A34005 1695 83 the the DT A34005 1695 84 hour hour NN A34005 1695 85 from from IN A34005 1695 86 Noon Noon NNP A34005 1695 87 . . . A34005 1696 1 By by IN A34005 1696 2 this this DT A34005 1696 3 means mean VBZ A34005 1696 4 if if IN A34005 1696 5 in in IN A34005 1696 6 the the DT A34005 1696 7 same same JJ A34005 1696 8 Proportion proportion NN A34005 1696 9 as as IN A34005 1696 10 we -PRON- PRP A34005 1696 11 increase increase VBP A34005 1696 12 the the DT A34005 1696 13 length length NN A34005 1696 14 of of IN A34005 1696 15 the the DT A34005 1696 16 fitted fitted JJ A34005 1696 17 Scale Scale NNP A34005 1696 18 , , , A34005 1696 19 we -PRON- PRP A34005 1696 20 also also RB A34005 1696 21 increase increase VBP A34005 1696 22 the the DT A34005 1696 23 versed versed JJ A34005 1696 24 sines sine NNS A34005 1696 25 lying lie VBG A34005 1696 26 in in IN A34005 1696 27 the the DT A34005 1696 28 Limb Limb NNP A34005 1696 29 , , , A34005 1696 30 we -PRON- PRP A34005 1696 31 may may MD A34005 1696 32 find find VB A34005 1696 33 the the DT A34005 1696 34 hour hour NN A34005 1696 35 and and CC A34005 1696 36 Azimuth Azimuth NNP A34005 1696 37 near near IN A34005 1696 38 noon noon NN A34005 1696 39 with with IN A34005 1696 40 certainty certainty NN A34005 1696 41 if if IN A34005 1696 42 the the DT A34005 1696 43 Altitude altitude NN A34005 1696 44 be be VBP A34005 1696 45 well well RB A34005 1696 46 given give VBN A34005 1696 47 : : : A34005 1696 48 These these DT A34005 1696 49 Scales scale NNS A34005 1696 50 in in IN A34005 1696 51 their -PRON- PRP$ A34005 1696 52 Use Use NNP A34005 1696 53 presuppose presuppose NN A34005 1696 54 the the DT A34005 1696 55 Hour Hour NNP A34005 1696 56 and and CC A34005 1696 57 Azimuth Azimuth NNP A34005 1696 58 of of IN A34005 1696 59 the the DT A34005 1696 60 Sun Sun NNP A34005 1696 61 to to TO A34005 1696 62 be be VB A34005 1696 63 nearer nearer IN A34005 1696 64 the the DT A34005 1696 65 noon noon NN A34005 1696 66 Meridian Meridian NNP A34005 1696 67 then then RB A34005 1696 68 60d 60d NNPS A34005 1696 69 . . . A34005 1697 1 Operation operation NN A34005 1697 2 to to TO A34005 1697 3 find find VB A34005 1697 4 the the DT A34005 1697 5 Hour Hour NNP A34005 1697 6 . . . A34005 1698 1 Take take VB A34005 1698 2 the the DT A34005 1698 3 distance distance NN A34005 1698 4 between between IN A34005 1698 5 the the DT A34005 1698 6 Altitude Altitude NNP A34005 1698 7 and and CC A34005 1698 8 the the DT A34005 1698 9 Declination Declination NNP A34005 1698 10 proper proper JJ A34005 1698 11 to to IN A34005 1698 12 the the DT A34005 1698 13 season season NN A34005 1698 14 of of IN A34005 1698 15 the the DT A34005 1698 16 year year NN A34005 1698 17 out out IN A34005 1698 18 of of IN A34005 1698 19 the the DT A34005 1698 20 Hour Hour NNP A34005 1698 21 Scale Scale NNP A34005 1698 22 , , , A34005 1698 23 and and CC A34005 1698 24 enter enter VBP A34005 1698 25 one one CD A34005 1698 26 foot foot NN A34005 1698 27 of of IN A34005 1698 28 this this DT A34005 1698 29 Extent extent NN A34005 1698 30 at at IN A34005 1698 31 the the DT A34005 1698 32 Cosine Cosine NNP A34005 1698 33 of of IN A34005 1698 34 the the DT A34005 1698 35 Declination Declination NNP A34005 1698 36 in in IN A34005 1698 37 the the DT A34005 1698 38 Line Line NNP A34005 1698 39 of of IN A34005 1698 40 sines sine NNS A34005 1698 41 , , , A34005 1698 42 and and CC A34005 1698 43 laying lay VBG A34005 1698 44 the the DT A34005 1698 45 Thread thread NN A34005 1698 46 to to IN A34005 1698 47 the the DT A34005 1698 48 other other JJ A34005 1698 49 foot foot NN A34005 1698 50 according accord VBG A34005 1698 51 to to IN A34005 1698 52 nearest near JJS A34005 1698 53 distance distance NN A34005 1698 54 , , , A34005 1698 55 it -PRON- PRP A34005 1698 56 shews shew VBZ A34005 1698 57 the the DT A34005 1698 58 hour hour NN A34005 1698 59 from from IN A34005 1698 60 noon noon NN A34005 1698 61 in in IN A34005 1698 62 the the DT A34005 1698 63 Versed versed JJ A34005 1698 64 sines sine NNS A34005 1698 65 Quadrupled quadruple VBN A34005 1698 66 . . . A34005 1699 1 Example example NN A34005 1699 2 . . . A34005 1700 1 When when WRB A34005 1700 2 the the DT A34005 1700 3 Sun Sun NNP A34005 1700 4 hath hath NNP A34005 1700 5 23d 23d NNS A34005 1700 6 31′ 31′ CD A34005 1700 7 of of IN A34005 1700 8 North North NNP A34005 1700 9 Declination Declination NNP A34005 1700 10 , , , A34005 1700 11 and and CC A34005 1700 12 60d 60d NNS A34005 1700 13 of of IN A34005 1700 14 Altitude Altitude NNP A34005 1700 15 , , , A34005 1700 16 the the DT A34005 1700 17 hour hour NN A34005 1700 18 from from IN A34005 1700 19 noon noon NN A34005 1700 20 will will MD A34005 1700 21 be be VB A34005 1700 22 13d 13d CD A34005 1700 23 58′ 58′ CD A34005 1700 24 to to TO A34005 1700 25 be be VB A34005 1700 26 Converted convert VBN A34005 1700 27 into into IN A34005 1700 28 time time NN A34005 1700 29 . . . A34005 1701 1 When when WRB A34005 1701 2 the the DT A34005 1701 3 hour hour NN A34005 1701 4 is be VBZ A34005 1701 5 found find VBN A34005 1701 6 to to TO A34005 1701 7 be be VB A34005 1701 8 less less JJR A34005 1701 9 then then RB A34005 1701 10 40d 40d NNS A34005 1701 11 from from IN A34005 1701 12 Noon Noon NNP A34005 1701 13 , , , A34005 1701 14 the the DT A34005 1701 15 former former JJ A34005 1701 16 extent extent NN A34005 1701 17 may may MD A34005 1701 18 be be VB A34005 1701 19 doubled double VBN A34005 1701 20 and and CC A34005 1701 21 entred entre VBN A34005 1701 22 as as IN A34005 1701 23 before before RB A34005 1701 24 , , , A34005 1701 25 and and CC A34005 1701 26 it -PRON- PRP A34005 1701 27 shews shew VBZ A34005 1701 28 the the DT A34005 1701 29 hour hour NN A34005 1701 30 in in IN A34005 1701 31 the the DT A34005 1701 32 Versed versed JJ A34005 1701 33 sines sine NNS A34005 1701 34 Octupled octuple VBN A34005 1701 35 . . . A34005 1702 1 And and CC A34005 1702 2 when when WRB A34005 1702 3 the the DT A34005 1702 4 hour hour NN A34005 1702 5 is be VBZ A34005 1702 6 less less JJR A34005 1702 7 then then RB A34005 1702 8 30d 30d NNS A34005 1702 9 from from IN A34005 1702 10 Noon Noon NNP A34005 1702 11 , , , A34005 1702 12 the the DT A34005 1702 13 former former JJ A34005 1702 14 extent extent NN A34005 1702 15 may may MD A34005 1702 16 be be VB A34005 1702 17 tripled triple VBN A34005 1702 18 and and CC A34005 1702 19 entred entre VBN A34005 1702 20 as as IN A34005 1702 21 before before RB A34005 1702 22 , , , A34005 1702 23 and and CC A34005 1702 24 after after IN A34005 1702 25 this this DT A34005 1702 26 manner manner NN A34005 1702 27 it -PRON- PRP A34005 1702 28 is be VBZ A34005 1702 29 possible possible JJ A34005 1702 30 to to TO A34005 1702 31 make make VB A34005 1702 32 the the DT A34005 1702 33 whole whole JJ A34005 1702 34 Limb Limb NNP A34005 1702 35 give give VB A34005 1702 36 the the DT A34005 1702 37 hour hour NN A34005 1702 38 next next IN A34005 1702 39 Noon Noon NNP A34005 1702 40 , , , A34005 1702 41 the the DT A34005 1702 42 Versed Versed NNP A34005 1702 43 Sine Sine NNP A34005 1702 44 Duodecupled Duodecupled NNP A34005 1702 45 , , , A34005 1702 46 lies lie VBZ A34005 1702 47 on on IN A34005 1702 48 the the DT A34005 1702 49 other other JJ A34005 1702 50 side side NN A34005 1702 51 of of IN A34005 1702 52 the the DT A34005 1702 53 Quadrant Quadrant NNP A34005 1702 54 ; ; : A34005 1702 55 and and CC A34005 1702 56 in in IN A34005 1702 57 this this DT A34005 1702 58 case case NN A34005 1702 59 , , , A34005 1702 60 an an DT A34005 1702 61 Ark Ark NNP A34005 1702 62 must must MD A34005 1702 63 first first RB A34005 1702 64 be be VB A34005 1702 65 found find VBN A34005 1702 66 in in IN A34005 1702 67 the the DT A34005 1702 68 Limb Limb NNP A34005 1702 69 , , , A34005 1702 70 and and CC A34005 1702 71 the the DT A34005 1702 72 Thread thread NN A34005 1702 73 laid lay VBD A34005 1702 74 over over IN A34005 1702 75 the the DT A34005 1702 76 said say VBN A34005 1702 77 Ark Ark NNP A34005 1702 78 , , , A34005 1702 79 counted count VBD A34005 1702 80 from from IN A34005 1702 81 the the DT A34005 1702 82 other other JJ A34005 1702 83 edge edge NN A34005 1702 84 , , , A34005 1702 85 will will MD A34005 1702 86 intersect intersect VB A34005 1702 87 the the DT A34005 1702 88 said say VBN A34005 1702 89 Versed Versed NNP A34005 1702 90 Sine Sine NNP A34005 1702 91 at at IN A34005 1702 92 the the DT A34005 1702 93 Ark Ark NNP A34005 1702 94 sought seek VBD A34005 1702 95 . . . A34005 1703 1 To to TO A34005 1703 2 find find VB A34005 1703 3 the the DT A34005 1703 4 Suns Suns NNPS A34005 1703 5 Azimuth Azimuth NNP A34005 1703 6 : : : A34005 1703 7 TAke take VB A34005 1703 8 the the DT A34005 1703 9 distance distance NN A34005 1703 10 in in IN A34005 1703 11 the the DT A34005 1703 12 Azimuth Azimuth NNP A34005 1703 13 Scale Scale NNP A34005 1703 14 , , , A34005 1703 15 between between IN A34005 1703 16 the the DT A34005 1703 17 Altitude Altitude NNP A34005 1703 18 and and CC A34005 1703 19 the the DT A34005 1703 20 Declination Declination NNP A34005 1703 21 , , , A34005 1703 22 proper proper JJ A34005 1703 23 to to IN A34005 1703 24 the the DT A34005 1703 25 season season NN A34005 1703 26 of of IN A34005 1703 27 the the DT A34005 1703 28 year year NN A34005 1703 29 , , , A34005 1703 30 and and CC A34005 1703 31 entring entre VBG A34005 1703 32 it -PRON- PRP A34005 1703 33 at at IN A34005 1703 34 the the DT A34005 1703 35 Cosine Cosine NNP A34005 1703 36 of of IN A34005 1703 37 the the DT A34005 1703 38 Altitude Altitude NNP A34005 1703 39 , , , A34005 1703 40 laying lay VBG A34005 1703 41 the the DT A34005 1703 42 Thread thread NN A34005 1703 43 to to IN A34005 1703 44 the the DT A34005 1703 45 other other JJ A34005 1703 46 foot foot NN A34005 1703 47 , , , A34005 1703 48 according accord VBG A34005 1703 49 to to IN A34005 1703 50 nearest near JJS A34005 1703 51 distance distance NN A34005 1703 52 , , , A34005 1703 53 it -PRON- PRP A34005 1703 54 will will MD A34005 1703 55 shew shew VB A34005 1703 56 the the DT A34005 1703 57 Azimuth Azimuth NNP A34005 1703 58 in in IN A34005 1703 59 the the DT A34005 1703 60 Versed Versed NNP A34005 1703 61 Sines Sines NNPS A34005 1703 62 quadrupled quadruple VBD A34005 1703 63 ; ; : A34005 1703 64 or or CC A34005 1703 65 , , , A34005 1703 66 when when WRB A34005 1703 67 the the DT A34005 1703 68 Azimuth Azimuth NNP A34005 1703 69 is be VBZ A34005 1703 70 near near IN A34005 1703 71 Noon Noon NNP A34005 1703 72 , , , A34005 1703 73 according accord VBG A34005 1703 74 to to IN A34005 1703 75 the the DT A34005 1703 76 former former JJ A34005 1703 77 restrictions restriction NNS A34005 1703 78 for for IN A34005 1703 79 the the DT A34005 1703 80 hour hour NN A34005 1703 81 , , , A34005 1703 82 the the DT A34005 1703 83 extent extent NN A34005 1703 84 may may MD A34005 1703 85 be be VB A34005 1703 86 doubled double VBN A34005 1703 87 , , , A34005 1703 88 or or CC A34005 1703 89 tripled triple VBD A34005 1703 90 , , , A34005 1703 91 and and CC A34005 1703 92 the the DT A34005 1703 93 answer answer NN A34005 1703 94 found find VBN A34005 1703 95 in in IN A34005 1703 96 the the DT A34005 1703 97 Versed Versed NNP A34005 1703 98 Sines Sines NNPS A34005 1703 99 Octupled Octupled NNP A34005 1703 100 , , , A34005 1703 101 or or CC A34005 1703 102 Duodecupled duodecuple VBN A34005 1703 103 , , , A34005 1703 104 as as IN A34005 1703 105 was be VBD A34005 1703 106 done do VBN A34005 1703 107 for for IN A34005 1703 108 the the DT A34005 1703 109 hour hour NN A34005 1703 110 . . . A34005 1704 1 Example example NN A34005 1704 2 . . . A34005 1705 1 So so RB A34005 1705 2 when when WRB A34005 1705 3 the the DT A34005 1705 4 Sun Sun NNP A34005 1705 5 hath hath NNP A34005 1705 6 23d 23d NNS A34005 1705 7 31′ 31′ CD A34005 1705 8 of of IN A34005 1705 9 North North NNP A34005 1705 10 Declination Declination NNP A34005 1705 11 , , , A34005 1705 12 his -PRON- PRP$ A34005 1705 13 Altitude altitude NN A34005 1705 14 being be VBG A34005 1705 15 60d 60d NNS A34005 1705 16 . . . A34005 1706 1 The the DT A34005 1706 2 Azimuth Azimuth NNP A34005 1706 3 will will MD A34005 1706 4 be be VB A34005 1706 5 found find VBN A34005 1706 6 to to TO A34005 1706 7 be be VB A34005 1706 8 26d 26d NNS A34005 1706 9 21′ 21′ CD A34005 1706 10 from from IN A34005 1706 11 the the DT A34005 1706 12 South South NNP A34005 1706 13 . . . A34005 1707 1 By by IN A34005 1707 2 the the DT A34005 1707 3 like like JJ A34005 1707 4 - - HYPH A34005 1707 5 reason reason NN A34005 1707 6 , , , A34005 1707 7 when when WRB A34005 1707 8 we -PRON- PRP A34005 1707 9 found find VBD A34005 1707 10 the the DT A34005 1707 11 Hour Hour NNP A34005 1707 12 and and CC A34005 1707 13 Azimuth Azimuth NNP A34005 1707 14 in in IN A34005 1707 15 the the DT A34005 1707 16 equal equal JJ A34005 1707 17 Limb Limb NNP A34005 1707 18 by by IN A34005 1707 19 the the DT A34005 1707 20 Diagonal Diagonal NNP A34005 1707 21 Scale Scale NNP A34005 1707 22 , , , A34005 1707 23 if if IN A34005 1707 24 those those DT A34005 1707 25 extents extent NNS A34005 1707 26 had have VBD A34005 1707 27 been be VBN A34005 1707 28 doubled double VBN A34005 1707 29 , , , A34005 1707 30 the the DT A34005 1707 31 Hour Hour NNP A34005 1707 32 and and CC A34005 1707 33 Azimuth Azimuth NNP A34005 1707 34 near near IN A34005 1707 35 six six CD A34005 1707 36 , , , A34005 1707 37 or or CC A34005 1707 38 the the DT A34005 1707 39 Vertical Vertical NNP A34005 1707 40 , , , A34005 1707 41 might may MD A34005 1707 42 have have VB A34005 1707 43 been be VBN A34005 1707 44 found find VBN A34005 1707 45 in in IN A34005 1707 46 a a DT A34005 1707 47 line line NN A34005 1707 48 of of IN A34005 1707 49 Sines Sines NNPS A34005 1707 50 of of IN A34005 1707 51 30d 30d NNPS A34005 1707 52 , , , A34005 1707 53 put put VBD A34005 1707 54 thorow thorow VB A34005 1707 55 the the DT A34005 1707 56 whole whole JJ A34005 1707 57 Limb Limb NNP A34005 1707 58 , , , A34005 1707 59 but but CC A34005 1707 60 that that IN A34005 1707 61 we -PRON- PRP A34005 1707 62 thought think VBD A34005 1707 63 needless needless RB A34005 1707 64 . . . A34005 1708 1 FINIS FINIS NNP A34005 1708 2 . . . A34005 1709 1 THE the DT A34005 1709 2 DESCRPITION descrpition NN A34005 1709 3 AND and CC A34005 1709 4 VSES vses NN A34005 1709 5 Of of IN A34005 1709 6 a a DT A34005 1709 7 Great Great NNP A34005 1709 8 Universal Universal NNP A34005 1709 9 Quadrant Quadrant NNP A34005 1709 10 : : : A34005 1709 11 With with IN A34005 1709 12 a a DT A34005 1709 13 Quarter Quarter NNP A34005 1709 14 of of IN A34005 1709 15 Stofters Stofters NNPS A34005 1709 16 particular particular JJ A34005 1709 17 Projection Projection NNP A34005 1709 18 upon upon IN A34005 1709 19 it -PRON- PRP A34005 1709 20 , , , A34005 1709 21 Inverted Inverted NNP A34005 1709 22 . . . A34005 1710 1 Contrived contrived JJ A34005 1710 2 and and CC A34005 1710 3 Written write VBN A34005 1710 4 by by IN A34005 1710 5 John John NNP A34005 1710 6 Collins Collins NNP A34005 1710 7 Accomptant Accomptant NNP A34005 1710 8 , , , A34005 1710 9 and and CC A34005 1710 10 Student student NN A34005 1710 11 in in IN A34005 1710 12 the the DT A34005 1710 13 MATHEMATIqUES mathematiques NN A34005 1710 14 . . . A34005 1711 1 LONDON LONDON NNP A34005 1711 2 , , , A34005 1711 3 Printed Printed NNP A34005 1711 4 in in IN A34005 1711 5 the the DT A34005 1711 6 Year Year NNP A34005 1711 7 , , , A34005 1711 8 1658 1658 CD A34005 1711 9 . . . A34005 1712 1 The the DT A34005 1712 2 DESCRIPTION description NN A34005 1712 3 Of of IN A34005 1712 4 the the DT A34005 1712 5 Great Great NNP A34005 1712 6 Quadrant Quadrant NNP A34005 1712 7 . . . A34005 1713 1 IT it PRP A34005 1713 2 hath hath NN A34005 1713 3 been be VBN A34005 1713 4 hinted hint VBN A34005 1713 5 before before RB A34005 1713 6 , , , A34005 1713 7 that that IN A34005 1713 8 though though IN A34005 1713 9 the the DT A34005 1713 10 former former JJ A34005 1713 11 contrivance contrivance NN A34005 1713 12 may may MD A34005 1713 13 serve serve VB A34005 1713 14 for for IN A34005 1713 15 a a DT A34005 1713 16 small small JJ A34005 1713 17 Quadrant Quadrant NNP A34005 1713 18 , , , A34005 1713 19 yet yet CC A34005 1713 20 there there EX A34005 1713 21 might may MD A34005 1713 22 be be VB A34005 1713 23 a a DT A34005 1713 24 better well JJR A34005 1713 25 for for IN A34005 1713 26 a a DT A34005 1713 27 great great JJ A34005 1713 28 one one CD A34005 1713 29 . . . A34005 1714 1 The the DT A34005 1714 2 Description description NN A34005 1714 3 of of IN A34005 1714 4 the the DT A34005 1714 5 Fore Fore NNP A34005 1714 6 - - HYPH A34005 1714 7 side side NN A34005 1714 8 . . . A34005 1715 1 On on IN A34005 1715 2 the the DT A34005 1715 3 right right JJ A34005 1715 4 edge edge NN A34005 1715 5 from from IN A34005 1715 6 the the DT A34005 1715 7 Center Center NNP A34005 1715 8 is be VBZ A34005 1715 9 placed place VBN A34005 1715 10 a a DT A34005 1715 11 line line NN A34005 1715 12 of of IN A34005 1715 13 Sines Sines NNP A34005 1715 14 . . . A34005 1716 1 On on IN A34005 1716 2 the the DT A34005 1716 3 left left JJ A34005 1716 4 edge edge NN A34005 1716 5 from from IN A34005 1716 6 the the DT A34005 1716 7 Center Center NNP A34005 1716 8 , , , A34005 1716 9 a a DT A34005 1716 10 line line NN A34005 1716 11 of of IN A34005 1716 12 Versed Versed NNP A34005 1716 13 Sines Sines NNPS A34005 1716 14 to to IN A34005 1716 15 180d 180d NNPS A34005 1716 16 . . . A34005 1717 1 The the DT A34005 1717 2 Limb Limb NNP A34005 1717 3 , , , A34005 1717 4 the the DT A34005 1717 5 same same JJ A34005 1717 6 as as IN A34005 1717 7 in in IN A34005 1717 8 the the DT A34005 1717 9 small small JJ A34005 1717 10 Quadrant Quadrant NNP A34005 1717 11 . . . A34005 1718 1 Between between IN A34005 1718 2 the the DT A34005 1718 3 Limb Limb NNP A34005 1718 4 and and CC A34005 1718 5 the the DT A34005 1718 6 Center Center NNP A34005 1718 7 are be VBP A34005 1718 8 placed place VBN A34005 1718 9 in in IN A34005 1718 10 Circles Circles NNP A34005 1718 11 , , , A34005 1718 12 a a DT A34005 1718 13 Line Line NNP A34005 1718 14 of of IN A34005 1718 15 Versed Versed NNP A34005 1718 16 Sines Sines NNPS A34005 1718 17 to to IN A34005 1718 18 180d 180d NNPS A34005 1718 19 , , , A34005 1718 20 another another DT A34005 1718 21 through through IN A34005 1718 22 the the DT A34005 1718 23 whole whole JJ A34005 1718 24 Limb Limb NNP A34005 1718 25 to to IN A34005 1718 26 90d 90d NNS A34005 1718 27 . . . A34005 1719 1 The the DT A34005 1719 2 Line Line NNP A34005 1719 3 of of IN A34005 1719 4 lesser less JJR A34005 1719 5 Sines Sines NNPS A34005 1719 6 and and CC A34005 1719 7 Secants Secants NNPS A34005 1719 8 . . . A34005 1720 1 The the DT A34005 1720 2 line line NN A34005 1720 3 of of IN A34005 1720 4 Tangents Tangents NNP A34005 1720 5 . . . A34005 1721 1 The the DT A34005 1721 2 Quadrat Quadrat NNP A34005 1721 3 and and CC A34005 1721 4 Shaddows Shaddows NNPS A34005 1721 5 . . . A34005 1722 1 Above above IN A34005 1722 2 them -PRON- PRP A34005 1722 3 , , , A34005 1722 4 the the DT A34005 1722 5 Projection Projection NNP A34005 1722 6 , , , A34005 1722 7 with with IN A34005 1722 8 the the DT A34005 1722 9 Declinations Declinations NNPS A34005 1722 10 , , , A34005 1722 11 Days day NNS A34005 1722 12 of of IN A34005 1722 13 the the DT A34005 1722 14 moneth moneth NN A34005 1722 15 , , , A34005 1722 16 and and CC A34005 1722 17 Almanack Almanack NNP A34005 1722 18 . . . A34005 1723 1 On on IN A34005 1723 2 the the DT A34005 1723 3 left left JJ A34005 1723 4 edge edge NN A34005 1723 5 is be VBZ A34005 1723 6 placed place VBN A34005 1723 7 the the DT A34005 1723 8 fitted fit VBN A34005 1723 9 Hour Hour NNP A34005 1723 10 , , , A34005 1723 11 and and CC A34005 1723 12 Azimuth Azimuth NNP A34005 1723 13 Scale Scale NNP A34005 1723 14 . . . A34005 1724 1 Within within IN A34005 1724 2 the the DT A34005 1724 3 Projection Projection NNP A34005 1724 4 abutting abut VBG A34005 1724 5 against against IN A34005 1724 6 the the DT A34005 1724 7 Sines Sines NNP A34005 1724 8 , , , A34005 1724 9 is be VBZ A34005 1724 10 placed place VBN A34005 1724 11 a a DT A34005 1724 12 little little JJ A34005 1724 13 Scale scale NN A34005 1724 14 , , , A34005 1724 15 called call VBN A34005 1724 16 The the DT A34005 1724 17 Scale Scale NNP A34005 1724 18 of of IN A34005 1724 19 Entrance entrance NN A34005 1724 20 , , , A34005 1724 21 being be VBG A34005 1724 22 graduated graduate VBN A34005 1724 23 to to IN A34005 1724 24 62d 62d NNS A34005 1724 25 , , , A34005 1724 26 and and CC A34005 1724 27 is be VBZ A34005 1724 28 no no DT A34005 1724 29 other other JJ A34005 1724 30 but but CC A34005 1724 31 a a DT A34005 1724 32 small small JJ A34005 1724 33 line line NN A34005 1724 34 of of IN A34005 1724 35 Sines Sines NNP A34005 1724 36 numbred numbre VBN A34005 1724 37 by by IN A34005 1724 38 the the DT A34005 1724 39 Complements Complements NNPS A34005 1724 40 . . . A34005 1725 1 At at IN A34005 1725 2 the the DT A34005 1725 3 end end NN A34005 1725 4 of of IN A34005 1725 5 the the DT A34005 1725 6 Secant secant NN A34005 1725 7 is be VBZ A34005 1725 8 put put VBN A34005 1725 9 on on IN A34005 1725 10 the the DT A34005 1725 11 Versed Versed NNP A34005 1725 12 Sines Sines NNPS A34005 1725 13 doubled double VBD A34005 1725 14 , , , A34005 1725 15 that that RB A34005 1725 16 is is RB A34005 1725 17 , , , A34005 1725 18 to to TO A34005 1725 19 twice twice PDT A34005 1725 20 the the DT A34005 1725 21 Radius Radius NNP A34005 1725 22 of of IN A34005 1725 23 the the DT A34005 1725 24 Quadrant Quadrant NNP A34005 1725 25 , , , A34005 1725 26 and and CC A34005 1725 27 at at IN A34005 1725 28 the the DT A34005 1725 29 end end NN A34005 1725 30 of of IN A34005 1725 31 the the DT A34005 1725 32 Tangents Tangents NNP A34005 1725 33 tripled triple VBD A34005 1725 34 , , , A34005 1725 35 to to IN A34005 1725 36 some some DT A34005 1725 37 few few JJ A34005 1725 38 degrees degree NNS A34005 1725 39 , , , A34005 1725 40 to to TO A34005 1725 41 give give VB A34005 1725 42 the the DT A34005 1725 43 Hour Hour NNP A34005 1725 44 and and CC A34005 1725 45 Azimuth Azimuth NNP A34005 1725 46 near near IN A34005 1725 47 Noon Noon NNP A34005 1725 48 more more RBR A34005 1725 49 exactly exactly RB A34005 1725 50 . . . A34005 1726 1 The the DT A34005 1726 2 Description description NN A34005 1726 3 of of IN A34005 1726 4 the the DT A34005 1726 5 Back back JJ A34005 1726 6 - - HYPH A34005 1726 7 side side NN A34005 1726 8 . . . A34005 1727 1 On on IN A34005 1727 2 the the DT A34005 1727 3 right right JJ A34005 1727 4 edge edge NN A34005 1727 5 from from IN A34005 1727 6 the the DT A34005 1727 7 Center Center NNP A34005 1727 8 , , , A34005 1727 9 is be VBZ A34005 1727 10 placed place VBN A34005 1727 11 a a DT A34005 1727 12 Line Line NNP A34005 1727 13 of of IN A34005 1727 14 equal equal JJ A34005 1727 15 part part NN A34005 1727 16 being be VBG A34005 1727 17 10 10 CD A34005 1727 18 inches inch NNS A34005 1727 19 precise precise JJ A34005 1727 20 , , , A34005 1727 21 decimally decimally RB A34005 1727 22 subdivided subdivide VBN A34005 1727 23 . . . A34005 1728 1 On on IN A34005 1728 2 the the DT A34005 1728 3 out out JJ A34005 1728 4 - - HYPH A34005 1728 5 side side NN A34005 1728 6 next next IN A34005 1728 7 the the DT A34005 1728 8 edge edge NN A34005 1728 9 , , , A34005 1728 10 is be VBZ A34005 1728 11 placed place VBN A34005 1728 12 a a DT A34005 1728 13 large large JJ A34005 1728 14 Chord Chord NNP A34005 1728 15 to to IN A34005 1728 16 60 60 CD A34005 1728 17 ● ● NNS A34005 1728 18 , , , A34005 1728 19 equal equal JJ A34005 1728 20 in in IN A34005 1728 21 length length NN A34005 1728 22 to to IN A34005 1728 23 the the DT A34005 1728 24 Radius Radius NNP A34005 1728 25 of of IN A34005 1728 26 the the DT A34005 1728 27 Line Line NNP A34005 1728 28 of of IN A34005 1728 29 Sines Sines NNPS A34005 1728 30 . . . A34005 1729 1 On on IN A34005 1729 2 the the DT A34005 1729 3 left left JJ A34005 1729 4 edge edge NN A34005 1729 5 is be VBZ A34005 1729 6 placed place VBN A34005 1729 7 a a DT A34005 1729 8 Line Line NNP A34005 1729 9 of of IN A34005 1729 10 Tangents Tangents NNPS A34005 1729 11 issuing issue VBG A34005 1729 12 from from IN A34005 1729 13 the the DT A34005 1729 14 Center Center NNP A34005 1729 15 , , , A34005 1729 16 continued continue VBD A34005 1729 17 to to IN A34005 1729 18 63d 63d CD A34005 1729 19 26′ 26′ CD A34005 1729 20 , , , A34005 1729 21 and and CC A34005 1729 22 again again RB A34005 1729 23 continued continue VBD A34005 1729 24 apart apart RB A34005 1729 25 from from IN A34005 1729 26 60d 60d NNS A34005 1729 27 , , , A34005 1729 28 to to IN A34005 1729 29 75d 75d NNS A34005 1729 30 The the DT A34005 1729 31 equal equal JJ A34005 1729 32 Limb Limb NNP A34005 1729 33 . . . A34005 1730 1 Within within IN A34005 1730 2 it -PRON- PRP A34005 1730 3 a a DT A34005 1730 4 Quadrant Quadrant NNP A34005 1730 5 of of IN A34005 1730 6 Ascensions Ascensions NNPS A34005 1730 7 , , , A34005 1730 8 divided divide VBN A34005 1730 9 into into IN A34005 1730 10 24 24 CD A34005 1730 11 equal equal JJ A34005 1730 12 hours hour NNS A34005 1730 13 and and CC A34005 1730 14 its -PRON- PRP$ A34005 1730 15 parts part NNS A34005 1730 16 , , , A34005 1730 17 with with IN A34005 1730 18 Stars star NNS A34005 1730 19 affixed affix VBN A34005 1730 20 , , , A34005 1730 21 and and CC A34005 1730 22 Letters letter NNS A34005 1730 23 graved grave VBD A34005 1730 24 , , , A34005 1730 25 to to TO A34005 1730 26 refer refer VB A34005 1730 27 to to IN A34005 1730 28 their -PRON- PRP$ A34005 1730 29 Names name NNS A34005 1730 30 . . . A34005 1731 1 Between between IN A34005 1731 2 it -PRON- PRP A34005 1731 3 and and CC A34005 1731 4 the the DT A34005 1731 5 Center Center NNP A34005 1731 6 is be VBZ A34005 1731 7 placed place VBN A34005 1731 8 a a DT A34005 1731 9 Circle Circle NNP A34005 1731 10 , , , A34005 1731 11 whereof whereof IN A34005 1731 12 there there EX A34005 1731 13 is be VBZ A34005 1731 14 but but CC A34005 1731 15 three three CD A34005 1731 16 Quadrants Quadrants NNPS A34005 1731 17 graduated graduate VBD A34005 1731 18 . . . A34005 1732 1 The the DT A34005 1732 2 Diameter Diameter NNP A34005 1732 3 of of IN A34005 1732 4 this this DT A34005 1732 5 Circle Circle NNP A34005 1732 6 is be VBZ A34005 1732 7 no no DT A34005 1732 8 other other JJ A34005 1732 9 then then RB A34005 1732 10 the the DT A34005 1732 11 Dyalling Dyalling NNP A34005 1732 12 Scale scale NN A34005 1732 13 of of IN A34005 1732 14 6 6 CD A34005 1732 15 hours hour NNS A34005 1732 16 , , , A34005 1732 17 or or CC A34005 1732 18 double double JJ A34005 1732 19 Tangents Tangents NNP A34005 1732 20 divided divide VBN A34005 1732 21 into into IN A34005 1732 22 90d 90d NNS A34005 1732 23 . . . A34005 1733 1 Two two CD A34005 1733 2 Quadrants Quadrants NNPS A34005 1733 3 , , , A34005 1733 4 or or CC A34005 1733 5 the the DT A34005 1733 6 half half NN A34005 1733 7 of of IN A34005 1733 8 this this DT A34005 1733 9 Circle Circle NNP A34005 1733 10 beneath beneath IN A34005 1733 11 the the DT A34005 1733 12 Diameter Diameter NNP A34005 1733 13 , , , A34005 1733 14 is be VBZ A34005 1733 15 divided divide VBN A34005 1733 16 into into IN A34005 1733 17 90 90 CD A34005 1733 18 equal equal JJ A34005 1733 19 parts part NNS A34005 1733 20 or or CC A34005 1733 21 degrees degree NNS A34005 1733 22 . . . A34005 1734 1 The the DT A34005 1734 2 upper upper JJ A34005 1734 3 divided divide VBN A34005 1734 4 Quadrant Quadrant NNP A34005 1734 5 , , , A34005 1734 6 is be VBZ A34005 1734 7 called call VBN A34005 1734 8 the the DT A34005 1734 9 Quadrant Quadrant NNP A34005 1734 10 of of IN A34005 1734 11 Latitudes Latitudes NNP A34005 1734 12 . . . A34005 1735 1 From from IN A34005 1735 2 the the DT A34005 1735 3 extremity extremity NN A34005 1735 4 of of IN A34005 1735 5 the the DT A34005 1735 6 said say VBN A34005 1735 7 Quadrant Quadrant NNP A34005 1735 8 , , , A34005 1735 9 and and CC A34005 1735 10 Perpendicular perpendicular JJ A34005 1735 11 to to IN A34005 1735 12 the the DT A34005 1735 13 Diameter Diameter NNP A34005 1735 14 , , , A34005 1735 15 is be VBZ A34005 1735 16 graduated graduate VBN A34005 1735 17 a a DT A34005 1735 18 Line Line NNP A34005 1735 19 of of IN A34005 1735 20 Proportional Proportional NNP A34005 1735 21 Sines Sines NNPS A34005 1735 22 ; ; : A34005 1735 23 M M NNP A34005 1735 24 Foster Foster NNP A34005 1735 25 call call VB A34005 1735 26 it -PRON- PRP A34005 1735 27 the the DT A34005 1735 28 Line Line NNP A34005 1735 29 Sol Sol NNP A34005 1735 30 . . . A34005 1736 1 Diagonal diagonal JJ A34005 1736 2 - - HYPH A34005 1736 3 wise wise JJ A34005 1736 4 , , , A34005 1736 5 from from IN A34005 1736 6 one one CD A34005 1736 7 extremity extremity NN A34005 1736 8 of of IN A34005 1736 9 the the DT A34005 1736 10 Quadrant Quadrant NNP A34005 1736 11 of of IN A34005 1736 12 Latitude Latitude NNP A34005 1736 13 to to IN A34005 1736 14 the the DT A34005 1736 15 other other JJ A34005 1736 16 , , , A34005 1736 17 is be VBZ A34005 1736 18 graduated graduate VBN A34005 1736 19 a a DT A34005 1736 20 line line NN A34005 1736 21 of of IN A34005 1736 22 Sines Sines NNP A34005 1736 23 ; ; : A34005 1736 24 that that DT A34005 1736 25 end end NN A34005 1736 26 numbred numbre VBN A34005 1736 27 with with IN A34005 1736 28 ● ● $ A34005 1736 29 0 0 CD A34005 1736 30 d d XX A34005 1736 31 , , , A34005 1736 32 that that WDT A34005 1736 33 is be VBZ A34005 1736 34 next next IN A34005 1736 35 the the DT A34005 1736 36 Diameter Diameter NNP A34005 1736 37 , , , A34005 1736 38 being be VBG A34005 1736 39 of of IN A34005 1736 40 the the DT A34005 1736 41 same same JJ A34005 1736 42 Radius Radius NNP A34005 1736 43 with with IN A34005 1736 44 the the DT A34005 1736 45 Tangents tangent NNS A34005 1736 46 . . . A34005 1737 1 Opposite opposite JJ A34005 1737 2 and and CC A34005 1737 3 parallel parallel JJ A34005 1737 4 thereto thereto NN A34005 1737 5 from from IN A34005 1737 6 45d 45d NNS A34005 1737 7 of of IN A34005 1737 8 the the DT A34005 1737 9 Semicircle Semicircle NNP A34005 1737 10 , , , A34005 1737 11 to to IN A34005 1737 12 the the DT A34005 1737 13 other other JJ A34005 1737 14 extremity extremity NN A34005 1737 15 of of IN A34005 1737 16 the the DT A34005 1737 17 Diameter Diameter NNP A34005 1737 18 , , , A34005 1737 19 is be VBZ A34005 1737 20 placed place VBN A34005 1737 21 a a DT A34005 1737 22 Line Line NNP A34005 1737 23 of of IN A34005 1737 24 Sines Sines NNPS A34005 1737 25 equal equal JJ A34005 1737 26 to to IN A34005 1737 27 the the DT A34005 1737 28 former former JJ A34005 1737 29 . . . A34005 1738 1 Diagonal diagonal JJ A34005 1738 2 - - HYPH A34005 1738 3 wise wise JJ A34005 1738 4 , , , A34005 1738 5 from from IN A34005 1738 6 the the DT A34005 1738 7 beginning beginning NN A34005 1738 8 of of IN A34005 1738 9 the the DT A34005 1738 10 Line Line NNP A34005 1738 11 Sol Sol NNP A34005 1738 12 , , , A34005 1738 13 to to IN A34005 1738 14 the the DT A34005 1738 15 end end NN A34005 1738 16 of of IN A34005 1738 17 the the DT A34005 1738 18 Diameter Diameter NNP A34005 1738 19 , , , A34005 1738 20 is be VBZ A34005 1738 21 graduated graduate VBN A34005 1738 22 a a DT A34005 1738 23 Line Line NNP A34005 1738 24 of of IN A34005 1738 25 60 60 CD A34005 1738 26 Chords Chords NNPS A34005 1738 27 . . . A34005 1739 1 From from IN A34005 1739 2 the the DT A34005 1739 3 beginning beginning NN A34005 1739 4 of of IN A34005 1739 5 the the DT A34005 1739 6 Diameter Diameter NNP A34005 1739 7 , , , A34005 1739 8 but but CC A34005 1739 9 below below IN A34005 1739 10 it -PRON- PRP A34005 1739 11 , , , A34005 1739 12 towards towards IN A34005 1739 13 45d 45d NNS A34005 1739 14 of of IN A34005 1739 15 the the DT A34005 1739 16 Semicircle Semicircle NNP A34005 1739 17 , , , A34005 1739 18 is be VBZ A34005 1739 19 graduated graduate VBN A34005 1739 20 the the DT A34005 1739 21 Projection Projection NNP A34005 1739 22 Tangent Tangent NNP A34005 1739 23 , , , A34005 1739 24 alias alia NNS A34005 1739 25 , , , A34005 1739 26 a a DT A34005 1739 27 Semi semi JJ A34005 1739 28 - - NN A34005 1739 29 tangent tangent NN A34005 1739 30 , , , A34005 1739 31 to to IN A34005 1739 32 90d 90d NNS A34005 1739 33 , , , A34005 1739 34 being be VBG A34005 1739 35 of of IN A34005 1739 36 the the DT A34005 1739 37 same same JJ A34005 1739 38 Radius Radius NNP A34005 1739 39 with with IN A34005 1739 40 the the DT A34005 1739 41 Tangents tangent NNS A34005 1739 42 . . . A34005 1740 1 The the DT A34005 1740 2 other other JJ A34005 1740 3 Quadrant quadrant NN A34005 1740 4 of of IN A34005 1740 5 this this DT A34005 1740 6 Circle Circle NNP A34005 1740 7 being be VBG A34005 1740 8 only only RB A34005 1740 9 a a DT A34005 1740 10 void void JJ A34005 1740 11 Line line NN A34005 1740 12 , , , A34005 1740 13 there there EX A34005 1740 14 passeth passeth VBZ A34005 1740 15 through through IN A34005 1740 16 it -PRON- PRP A34005 1740 17 from from IN A34005 1740 18 the the DT A34005 1740 19 Center Center NNP A34005 1740 20 , , , A34005 1740 21 a a DT A34005 1740 22 Tangent Tangent NNP A34005 1740 23 of of IN A34005 1740 24 45d 45d CD A34005 1740 25 , , , A34005 1740 26 for for IN A34005 1740 27 Dyalling dyalling NN A34005 1740 28 , , , A34005 1740 29 divided divide VBN A34005 1740 30 into into IN A34005 1740 31 3 3 CD A34005 1740 32 hours hour NNS A34005 1740 33 , , , A34005 1740 34 with with IN A34005 1740 35 its -PRON- PRP$ A34005 1740 36 quarters quarter NNS A34005 1740 37 and and CC A34005 1740 38 minutes minute NNS A34005 1740 39 . . . A34005 1741 1 Below below IN A34005 1741 2 the the DT A34005 1741 3 Diameter Diameter NNP A34005 1741 4 is be VBZ A34005 1741 5 void void JJ A34005 1741 6 space space NN A34005 1741 7 left leave VBN A34005 1741 8 , , , A34005 1741 9 to to TO A34005 1741 10 graduate graduate VB A34005 1741 11 any any DT A34005 1741 12 Table table NN A34005 1741 13 at at IN A34005 1741 14 pleasure pleasure NN A34005 1741 15 , , , A34005 1741 16 and and CC A34005 1741 17 a a DT A34005 1741 18 Line Line NNP A34005 1741 19 of of IN A34005 1741 20 Chords Chords NNPS A34005 1741 21 may may MD A34005 1741 22 be be VB A34005 1741 23 there there RB A34005 1741 24 placed place VBN A34005 1741 25 . . . A34005 1742 1 Most Most JJS A34005 1742 2 of of IN A34005 1742 3 these these DT A34005 1742 4 Lines line NNS A34005 1742 5 , , , A34005 1742 6 and and CC A34005 1742 7 the the DT A34005 1742 8 Projection Projection NNP A34005 1742 9 , , , A34005 1742 10 have have VBP A34005 1742 11 been be VBN A34005 1742 12 already already RB A34005 1742 13 treated treat VBN A34005 1742 14 upon upon IN A34005 1742 15 in in IN A34005 1742 16 the the DT A34005 1742 17 use use NN A34005 1742 18 of of IN A34005 1742 19 the the DT A34005 1742 20 small small JJ A34005 1742 21 Quadrant Quadrant NNP A34005 1742 22 , , , A34005 1742 23 those those DT A34005 1742 24 that that WDT A34005 1742 25 are be VBP A34005 1742 26 added add VBN A34005 1742 27 , , , A34005 1742 28 shall shall MD A34005 1742 29 here here RB A34005 1742 30 be be VB A34005 1742 31 spoke speak VBN A34005 1742 32 to to IN A34005 1742 33 . . . A34005 1743 1 Of of IN A34005 1743 2 the the DT A34005 1743 3 Line Line NNP A34005 1743 4 of of IN A34005 1743 5 Versed Versed NNP A34005 1743 6 Sines Sines NNPS A34005 1743 7 , , , A34005 1743 8 on on IN A34005 1743 9 the the DT A34005 1743 10 left left JJ A34005 1743 11 Edge edge NN A34005 1743 12 , , , A34005 1743 13 issuing issue VBG A34005 1743 14 from from IN A34005 1743 15 the the DT A34005 1743 16 Center Center NNP A34005 1743 17 . . . A34005 1744 1 THis this DT A34005 1744 2 Line line NN A34005 1744 3 , , , A34005 1744 4 and and CC A34005 1744 5 the the DT A34005 1744 6 uses use NNS A34005 1744 7 of of IN A34005 1744 8 it -PRON- PRP A34005 1744 9 , , , A34005 1744 10 were be VBD A34005 1744 11 invented invent VBN A34005 1744 12 by by IN A34005 1744 13 the the DT A34005 1744 14 learned learn VBN A34005 1744 15 Mathematician Mathematician NNP A34005 1744 16 , , , A34005 1744 17 M. M. NNP A34005 1744 18 Samuel Samuel NNP A34005 1744 19 Foster Foster NNP A34005 1744 20 , , , A34005 1744 21 of of IN A34005 1744 22 Gresham Gresham NNP A34005 1744 23 Colledge Colledge NNP A34005 1744 24 , , , A34005 1744 25 deceased deceased JJ A34005 1744 26 , , , A34005 1744 27 from from IN A34005 1744 28 whom whom WP A34005 1744 29 I -PRON- PRP A34005 1744 30 received receive VBD A34005 1744 31 the the DT A34005 1744 32 uses use NNS A34005 1744 33 of of IN A34005 1744 34 it -PRON- PRP A34005 1744 35 , , , A34005 1744 36 applyed apply VBD A34005 1744 37 to to IN A34005 1744 38 a a DT A34005 1744 39 Sector sector NN A34005 1744 40 ; ; : A34005 1744 41 I -PRON- PRP A34005 1744 42 shall shall MD A34005 1744 43 , , , A34005 1744 44 and and CC A34005 1744 45 have have VBP A34005 1744 46 added add VBN A34005 1744 47 the the DT A34005 1744 48 Proportions Proportions NNPS A34005 1744 49 to to TO A34005 1744 50 be be VB A34005 1744 51 wrought work VBN A34005 1744 52 upon upon IN A34005 1744 53 it -PRON- PRP A34005 1744 54 , , , A34005 1744 55 and and CC A34005 1744 56 in in IN A34005 1744 57 that that DT A34005 1744 58 , , , A34005 1744 59 and and CC A34005 1744 60 other other JJ A34005 1744 61 respects respect NNS A34005 1744 62 , , , A34005 1744 63 diversifie diversifie NNP A34005 1744 64 from from IN A34005 1744 65 what what WP A34005 1744 66 I -PRON- PRP A34005 1744 67 received receive VBD A34005 1744 68 ; ; : A34005 1744 69 wherein wherein WRB A34005 1744 70 I -PRON- PRP A34005 1744 71 shall shall MD A34005 1744 72 not not RB A34005 1744 73 be be VB A34005 1744 74 tedious tedious JJ A34005 1744 75 , , , A34005 1744 76 because because IN A34005 1744 77 there there EX A34005 1744 78 are be VBP A34005 1744 79 other other JJ A34005 1744 80 ways way NNS A34005 1744 81 to to TO A34005 1744 82 follow follow VB A34005 1744 83 , , , A34005 1744 84 since since IN A34005 1744 85 found find VBN A34005 1744 86 out out RP A34005 1744 87 by by IN A34005 1744 88 my -PRON- PRP$ A34005 1744 89 self self NN A34005 1744 90 . . . A34005 1745 1 The the DT A34005 1745 2 chief chief JJ A34005 1745 3 uses use VBZ A34005 1745 4 of of IN A34005 1745 5 it -PRON- PRP A34005 1745 6 are be VBP A34005 1745 7 , , , A34005 1745 8 to to TO A34005 1745 9 resolve resolve VB A34005 1745 10 the the DT A34005 1745 11 two two CD A34005 1745 12 cases case NNS A34005 1745 13 of of IN A34005 1745 14 the the DT A34005 1745 15 fourth fourth JJ A34005 1745 16 Axiom Axiom NNP A34005 1745 17 of of IN A34005 1745 18 Spherical Spherical NNP A34005 1745 19 Trigonometry Trigonometry NNP A34005 1745 20 ; ; : A34005 1745 21 as as IN A34005 1745 22 , , , A34005 1745 23 when when WRB A34005 1745 24 three three CD A34005 1745 25 sides side NNS A34005 1745 26 are be VBP A34005 1745 27 given give VBN A34005 1745 28 to to TO A34005 1745 29 find find VB A34005 1745 30 an an DT A34005 1745 31 Angle angle NN A34005 1745 32 , , , A34005 1745 33 or or CC A34005 1745 34 two two CD A34005 1745 35 sides side NNS A34005 1745 36 with with IN A34005 1745 37 the the DT A34005 1745 38 Angle Angle NNP A34005 1745 39 comprehended comprehend VBD A34005 1745 40 , , , A34005 1745 41 to to TO A34005 1745 42 find find VB A34005 1745 43 the the DT A34005 1745 44 third third JJ A34005 1745 45 side side NN A34005 1745 46 , , , A34005 1745 47 which which WDT A34005 1745 48 are be VBP A34005 1745 49 the the DT A34005 1745 50 cases case NNS A34005 1745 51 that that WDT A34005 1745 52 find find VBP A34005 1745 53 the the DT A34005 1745 54 Hour Hour NNP A34005 1745 55 and and CC A34005 1745 56 Azimuth Azimuth NNP A34005 1745 57 generally generally RB A34005 1745 58 , , , A34005 1745 59 and and CC A34005 1745 60 the the DT A34005 1745 61 Suns Suns NNPS A34005 1745 62 Altitudes Altitudes NNPS A34005 1745 63 on on IN A34005 1745 64 all all DT A34005 1745 65 hours hour NNS A34005 1745 66 . . . A34005 1746 1 For for IN A34005 1746 2 the the DT A34005 1746 3 Hour Hour NNP A34005 1746 4 , , , A34005 1746 5 the the DT A34005 1746 6 learned learn VBN A34005 1746 7 Author author NN A34005 1746 8 thought think VBD A34005 1746 9 meet meet VB A34005 1746 10 to to TO A34005 1746 11 add add VB A34005 1746 12 a a DT A34005 1746 13 Zodiaque Zodiaque NNP A34005 1746 14 of of IN A34005 1746 15 the the DT A34005 1746 16 Suns Suns NNPS A34005 1746 17 - - HYPH A34005 1746 18 place place NN A34005 1746 19 annexed annex VBN A34005 1746 20 to to IN A34005 1746 21 it -PRON- PRP A34005 1746 22 , , , A34005 1746 23 both both CC A34005 1746 24 in in IN A34005 1746 25 the the DT A34005 1746 26 use use NN A34005 1746 27 of of IN A34005 1746 28 his -PRON- PRP$ A34005 1746 29 Sector sector NN A34005 1746 30 , , , A34005 1746 31 as as RB A34005 1746 32 also also RB A34005 1746 33 in in IN A34005 1746 34 the the DT A34005 1746 35 use use NN A34005 1746 36 of of IN A34005 1746 37 his -PRON- PRP$ A34005 1746 38 Scale Scale NNP A34005 1746 39 , , , A34005 1746 40 published publish VBN A34005 1746 41 since since IN A34005 1746 42 his -PRON- PRP$ A34005 1746 43 death death NN A34005 1746 44 , , , A34005 1746 45 entituled entitule VBN A34005 1746 46 Posthuma Posthuma NNP A34005 1746 47 Fosteri Fosteri NNP A34005 1746 48 , , , A34005 1746 49 that that IN A34005 1746 50 the the DT A34005 1746 51 Suns Suns NNPS A34005 1746 52 place place NN A34005 1746 53 being be VBG A34005 1746 54 given give VBN A34005 1746 55 , , , A34005 1746 56 which which WDT A34005 1746 57 for for IN A34005 1746 58 Instrumental instrumental JJ A34005 1746 59 use use NN A34005 1746 60 might may MD A34005 1746 61 be be VB A34005 1746 62 obtained obtain VBN A34005 1746 63 , , , A34005 1746 64 by by IN A34005 1746 65 knowing know VBG A34005 1746 66 on on IN A34005 1746 67 what what WP A34005 1746 68 day day NN A34005 1746 69 of of IN A34005 1746 70 each each DT A34005 1746 71 moneth moneth NN A34005 1746 72 the the DT A34005 1746 73 Sun Sun NNP A34005 1746 74 enters enter VBZ A34005 1746 75 into into IN A34005 1746 76 any any DT A34005 1746 77 Signe Signe NNP A34005 1746 78 , , , A34005 1746 79 and and CC A34005 1746 80 allowing allow VBG A34005 1746 81 a a DT A34005 1746 82 degree degree NN A34005 1746 83 for for IN A34005 1746 84 every every DT A34005 1746 85 days day NNS A34005 1746 86 motion motion NN A34005 1746 87 , , , A34005 1746 88 come come VBN A34005 1746 89 by by IN A34005 1746 90 it -PRON- PRP A34005 1746 91 prope prope NNP A34005 1746 92 verum verum NNP A34005 1746 93 , , , A34005 1746 94 and and CC A34005 1746 95 being be VBG A34005 1746 96 sought seek VBN A34005 1746 97 in in IN A34005 1746 98 the the DT A34005 1746 99 annexed annex VBN A34005 1746 100 Zodiaque Zodiaque NNP A34005 1746 101 ( ( -LRB- A34005 1746 102 which which WDT A34005 1746 103 is be VBZ A34005 1746 104 no no DT A34005 1746 105 other other JJ A34005 1746 106 then then RB A34005 1746 107 two two CD A34005 1746 108 lines line NNS A34005 1746 109 of of IN A34005 1746 110 90d 90d CD A34005 1746 111 . . . A34005 1747 1 Sines sine NNS A34005 1747 2 , , , A34005 1747 3 each each DT A34005 1747 4 made make VBD A34005 1747 5 equal equal JJ A34005 1747 6 to to IN A34005 1747 7 the the DT A34005 1747 8 Sine Sine NNP A34005 1747 9 of of IN A34005 1747 10 23d 23d CD A34005 1747 11 31′ 31′ CD A34005 1747 12 the the DT A34005 1747 13 Suns Suns NNPS A34005 1747 14 greatest great JJS A34005 1747 15 Declination declination NN A34005 1747 16 ) ) -RRB- A34005 1747 17 just just RB A34005 1747 18 against against IN A34005 1747 19 it -PRON- PRP A34005 1747 20 stands stand VBZ A34005 1747 21 the the DT A34005 1747 22 Suns Suns NNPS A34005 1747 23 Declination Declination NNP A34005 1747 24 , , , A34005 1747 25 if if IN A34005 1747 26 accounted account VBD A34005 1747 27 in in IN A34005 1747 28 the the DT A34005 1747 29 Versed Versed NNP A34005 1747 30 Sine Sine NNP A34005 1747 31 , , , A34005 1747 32 from from IN A34005 1747 33 90d 90d NNS A34005 1747 34 each each DT A34005 1747 35 way way NN A34005 1747 36 ; ; : A34005 1747 37 but but CC A34005 1747 38 this this DT A34005 1747 39 for for IN A34005 1747 40 want want NN A34005 1747 41 of of IN A34005 1747 42 room room NN A34005 1747 43 , , , A34005 1747 44 and and CC A34005 1747 45 because because IN A34005 1747 46 the the DT A34005 1747 47 Declination Declination NNP A34005 1747 48 is be VBZ A34005 1747 49 more more RBR A34005 1747 50 easily easily RB A34005 1747 51 given give VBN A34005 1747 52 by by IN A34005 1747 53 help help NN A34005 1747 54 of of IN A34005 1747 55 the the DT A34005 1747 56 day day NN A34005 1747 57 of of IN A34005 1747 58 the the DT A34005 1747 59 moneth moneth NN A34005 1747 60 , , , A34005 1747 61 I -PRON- PRP A34005 1747 62 thought think VBD A34005 1747 63 fit fit JJ A34005 1747 64 to to TO A34005 1747 65 omit omit NN A34005 1747 66 , , , A34005 1747 67 the the DT A34005 1747 68 rather rather RB A34005 1747 69 , , , A34005 1747 70 because because IN A34005 1747 71 it -PRON- PRP A34005 1747 72 may may MD A34005 1747 73 also also RB A34005 1747 74 be be VB A34005 1747 75 taken take VBN A34005 1747 76 from from IN A34005 1747 77 the the DT A34005 1747 78 Table table NN A34005 1747 79 of of IN A34005 1747 80 Declinations declination NNS A34005 1747 81 . . . A34005 1748 1 But but CC A34005 1748 2 from from IN A34005 1748 3 hence hence RB A34005 1748 4 I -PRON- PRP A34005 1748 5 first first RB A34005 1748 6 observed observe VBD A34005 1748 7 , , , A34005 1748 8 that that IN A34005 1748 9 if if IN A34005 1748 10 the the DT A34005 1748 11 two two CD A34005 1748 12 first first JJ A34005 1748 13 terms term NNS A34005 1748 14 of of IN A34005 1748 15 a a DT A34005 1748 16 Proportion proportion NN A34005 1748 17 were be VBD A34005 1748 18 fixed fix VBN A34005 1748 19 , , , A34005 1748 20 if if IN A34005 1748 21 two two CD A34005 1748 22 natural natural JJ A34005 1748 23 Lines line NNS A34005 1748 24 proper proper JJ A34005 1748 25 to to IN A34005 1748 26 those those DT A34005 1748 27 terms term NNS A34005 1748 28 , , , A34005 1748 29 were be VBD A34005 1748 30 fitted fit VBN A34005 1748 31 of of IN A34005 1748 32 an an DT A34005 1748 33 equal equal JJ A34005 1748 34 length length NN A34005 1748 35 , , , A34005 1748 36 and and CC A34005 1748 37 posited posit VBN A34005 1748 38 together together RB A34005 1748 39 , , , A34005 1748 40 if if IN A34005 1748 41 any any DT A34005 1748 42 third third JJ A34005 1748 43 term term NN A34005 1748 44 be be VB A34005 1748 45 given give VBN A34005 1748 46 , , , A34005 1748 47 to to TO A34005 1748 48 find find VB A34005 1748 49 a a DT A34005 1748 50 fourth fourth JJ A34005 1748 51 in in IN A34005 1748 52 the the DT A34005 1748 53 same same JJ A34005 1748 54 proportion proportion NN A34005 1748 55 , , , A34005 1748 56 it -PRON- PRP A34005 1748 57 would would MD A34005 1748 58 be be VB A34005 1748 59 given give VBN A34005 1748 60 by by IN A34005 1748 61 inspection inspection NN A34005 1748 62 , , , A34005 1748 63 as as IN A34005 1748 64 standing stand VBG A34005 1748 65 against against IN A34005 1748 66 the the DT A34005 1748 67 third third JJ A34005 1748 68 ; ; : A34005 1748 69 but but CC A34005 1748 70 if if IN A34005 1748 71 the the DT A34005 1748 72 Lines line NNS A34005 1748 73 stand stand VBP A34005 1748 74 asunder asunder RB A34005 1748 75 , , , A34005 1748 76 or or CC A34005 1748 77 a a DT A34005 1748 78 difference difference NN A34005 1748 79 be be VB A34005 1748 80 the the DT A34005 1748 81 third third JJ A34005 1748 82 term term NN A34005 1748 83 , , , A34005 1748 84 application application NN A34005 1748 85 must must MD A34005 1748 86 be be VB A34005 1748 87 made make VBN A34005 1748 88 from from IN A34005 1748 89 one one CD A34005 1748 90 Line Line NNP A34005 1748 91 to to IN A34005 1748 92 the the DT A34005 1748 93 other other JJ A34005 1748 94 with with IN A34005 1748 95 Compasses Compasses NNPS A34005 1748 96 , , , A34005 1748 97 as as IN A34005 1748 98 in in IN A34005 1748 99 the the DT A34005 1748 100 same same JJ A34005 1748 101 Scale scale NN A34005 1748 102 there there EX A34005 1748 103 is be VBZ A34005 1748 104 also also RB A34005 1748 105 fitted fit VBN A34005 1748 106 a a DT A34005 1748 107 Line Line NNP A34005 1748 108 of of IN A34005 1748 109 60 60 CD A34005 1748 110 parts part NNS A34005 1748 111 , , , A34005 1748 112 equal equal JJ A34005 1748 113 in in IN A34005 1748 114 length length NN A34005 1748 115 to to IN A34005 1748 116 the the DT A34005 1748 117 Radius Radius NNP A34005 1748 118 of of IN A34005 1748 119 a a DT A34005 1748 120 small small JJ A34005 1748 121 Sine Sine NNP A34005 1748 122 , , , A34005 1748 123 serving serve VBG A34005 1748 124 to to TO A34005 1748 125 give give VB A34005 1748 126 the the DT A34005 1748 127 Miles Miles NNP A34005 1748 128 in in IN A34005 1748 129 every every DT A34005 1748 130 several several JJ A34005 1748 131 Latitude Latitude NNP A34005 1748 132 , , , A34005 1748 133 answerable answerable JJ A34005 1748 134 to to IN A34005 1748 135 one one CD A34005 1748 136 degree degree NN A34005 1748 137 of of IN A34005 1748 138 Longitude Longitude NNP A34005 1748 139 . . . A34005 1749 1 Three three CD A34005 1749 2 sides side NNS A34005 1749 3 given give VBN A34005 1749 4 to to TO A34005 1749 5 find find VB A34005 1749 6 an an DT A34005 1749 7 Angle Angle NNP A34005 1749 8 , , , A34005 1749 9 the the DT A34005 1749 10 Proportion proportion NN A34005 1749 11 , , , A34005 1749 12 As as IN A34005 1749 13 the the DT A34005 1749 14 difference difference NN A34005 1749 15 of of IN A34005 1749 16 the the DT A34005 1749 17 Versed Versed NNP A34005 1749 18 Sines Sines NNPS A34005 1749 19 of of IN A34005 1749 20 the the DT A34005 1749 21 Sum Sum NNP A34005 1749 22 , , , A34005 1749 23 and and CC A34005 1749 24 difference difference NN A34005 1749 25 of of IN A34005 1749 26 any any DT A34005 1749 27 two two CD A34005 1749 28 Sides side NNS A34005 1749 29 including include VBG A34005 1749 30 an an DT A34005 1749 31 Angle Angle NNP A34005 1749 32 , , , A34005 1749 33 Is be VBZ A34005 1749 34 to to IN A34005 1749 35 the the DT A34005 1749 36 Diameter Diameter NNP A34005 1749 37 , , , A34005 1749 38 So so RB A34005 1749 39 is be VBZ A34005 1749 40 the the DT A34005 1749 41 difference difference NN A34005 1749 42 of of IN A34005 1749 43 the the DT A34005 1749 44 Versed Versed NNP A34005 1749 45 Sines Sines NNPS A34005 1749 46 of of IN A34005 1749 47 the the DT A34005 1749 48 third third JJ A34005 1749 49 side side NN A34005 1749 50 , , , A34005 1749 51 And and CC A34005 1749 52 of of IN A34005 1749 53 the the DT A34005 1749 54 Ark Ark NNP A34005 1749 55 of of IN A34005 1749 56 difference difference NN A34005 1749 57 between between IN A34005 1749 58 the the DT A34005 1749 59 two two CD A34005 1749 60 including include VBG A34005 1749 61 Sides side NNS A34005 1749 62 , , , A34005 1749 63 To to IN A34005 1749 64 the the DT A34005 1749 65 Versed Versed NNP A34005 1749 66 Sine Sine NNP A34005 1749 67 of of IN A34005 1749 68 the the DT A34005 1749 69 Angle Angle NNP A34005 1749 70 sought seek VBD A34005 1749 71 ; ; : A34005 1749 72 And and CC A34005 1749 73 so so RB A34005 1749 74 is be VBZ A34005 1749 75 the the DT A34005 1749 76 difference difference NN A34005 1749 77 of of IN A34005 1749 78 the the DT A34005 1749 79 Versed Versed NNP A34005 1749 80 Sines Sines NNPS A34005 1749 81 of of IN A34005 1749 82 the the DT A34005 1749 83 third third JJ A34005 1749 84 side side NN A34005 1749 85 And and CC A34005 1749 86 of of IN A34005 1749 87 the the DT A34005 1749 88 sum sum NN A34005 1749 89 of of IN A34005 1749 90 the the DT A34005 1749 91 two two CD A34005 1749 92 including include VBG A34005 1749 93 sides side NNS A34005 1749 94 , , , A34005 1749 95 To to IN A34005 1749 96 the the DT A34005 1749 97 Versed Versed NNP A34005 1749 98 Sine Sine NNP A34005 1749 99 of of IN A34005 1749 100 the the DT A34005 1749 101 sought seek VBN A34005 1749 102 Angles Angles NNP A34005 1749 103 , , , A34005 1749 104 Complement Complement NNP A34005 1749 105 to to IN A34005 1749 106 a a DT A34005 1749 107 Semicircle Semicircle NNP A34005 1749 108 . . . A34005 1750 1 Corollary Corollary NNP A34005 1750 2 . . . A34005 1751 1 And and CC A34005 1751 2 seeing see VBG A34005 1751 3 there there EX A34005 1751 4 is be VBZ A34005 1751 5 such such JJ A34005 1751 6 proportion proportion NN A34005 1751 7 between between IN A34005 1751 8 the the DT A34005 1751 9 latter latter JJ A34005 1751 10 terms term NNS A34005 1751 11 of of IN A34005 1751 12 the the DT A34005 1751 13 fore fore NN A34005 1751 14 - - HYPH A34005 1751 15 going go VBG A34005 1751 16 Proportion proportion NN A34005 1751 17 , , , A34005 1751 18 as as IN A34005 1751 19 between between IN A34005 1751 20 the the DT A34005 1751 21 former former JJ A34005 1751 22 , , , A34005 1751 23 omitting omit VBG A34005 1751 24 the the DT A34005 1751 25 two two CD A34005 1751 26 first first JJ A34005 1751 27 terms term NNS A34005 1751 28 , , , A34005 1751 29 it -PRON- PRP A34005 1751 30 also also RB A34005 1751 31 holds hold VBZ A34005 1751 32 , , , A34005 1751 33 As as IN A34005 1751 34 the the DT A34005 1751 35 difference difference NN A34005 1751 36 of of IN A34005 1751 37 the the DT A34005 1751 38 Versed Versed NNP A34005 1751 39 Sines Sines NNPS A34005 1751 40 of of IN A34005 1751 41 the the DT A34005 1751 42 third third JJ A34005 1751 43 side side NN A34005 1751 44 , , , A34005 1751 45 and and CC A34005 1751 46 of of IN A34005 1751 47 the the DT A34005 1751 48 Ark Ark NNP A34005 1751 49 of of IN A34005 1751 50 difference difference NN A34005 1751 51 between between IN A34005 1751 52 the the DT A34005 1751 53 two two CD A34005 1751 54 including include VBG A34005 1751 55 sides side NNS A34005 1751 56 Is be VBZ A34005 1751 57 to to IN A34005 1751 58 the the DT A34005 1751 59 Versed Versed NNP A34005 1751 60 Sine Sine NNP A34005 1751 61 of of IN A34005 1751 62 the the DT A34005 1751 63 Angle Angle NNP A34005 1751 64 sought seek VBD A34005 1751 65 , , , A34005 1751 66 So so RB A34005 1751 67 is be VBZ A34005 1751 68 the the DT A34005 1751 69 difference difference NN A34005 1751 70 of of IN A34005 1751 71 the the DT A34005 1751 72 Versed Versed NNP A34005 1751 73 Sines Sines NNPS A34005 1751 74 of of IN A34005 1751 75 the the DT A34005 1751 76 third third JJ A34005 1751 77 side side NN A34005 1751 78 , , , A34005 1751 79 And and CC A34005 1751 80 of of IN A34005 1751 81 the the DT A34005 1751 82 sum sum NN A34005 1751 83 of of IN A34005 1751 84 the the DT A34005 1751 85 two two CD A34005 1751 86 including include VBG A34005 1751 87 sides side NNS A34005 1751 88 , , , A34005 1751 89 To to IN A34005 1751 90 the the DT A34005 1751 91 Versed Versed NNP A34005 1751 92 Sine Sine NNP A34005 1751 93 of of IN A34005 1751 94 the the DT A34005 1751 95 sought seek VBN A34005 1751 96 Angles Angles NNP A34005 1751 97 , , , A34005 1751 98 Complement Complement NNP A34005 1751 99 to to IN A34005 1751 100 180d 180d NNPS A34005 1751 101 . . . A34005 1752 1 And and CC A34005 1752 2 this this DT A34005 1752 3 is be VBZ A34005 1752 4 the the DT A34005 1752 5 Proportion Proportion NNP A34005 1752 6 M. M. NNP A34005 1752 7 Foster Foster NNP A34005 1752 8 makes make VBZ A34005 1752 9 use use NN A34005 1752 10 of of IN A34005 1752 11 in in IN A34005 1752 12 his -PRON- PRP$ A34005 1752 13 Scale Scale NNP A34005 1752 14 , , , A34005 1752 15 page page NN A34005 1752 16 25 25 CD A34005 1752 17 and and CC A34005 1752 18 27 27 CD A34005 1752 19 . . . A34005 1752 20 to to TO A34005 1752 21 find find VB A34005 1752 22 the the DT A34005 1752 23 Hour Hour NNP A34005 1752 24 and and CC A34005 1752 25 Azimuth Azimuth NNP A34005 1752 26 by by IN A34005 1752 27 Protraction Protraction NNP A34005 1752 28 , , , A34005 1752 29 as as IN A34005 1752 30 also also RB A34005 1752 31 in in IN A34005 1752 32 page page NN A34005 1752 33 68 68 CD A34005 1752 34 . . . A34005 1752 35 in in IN A34005 1752 36 Dyalling Dyalling NNP A34005 1752 37 , , , A34005 1752 38 when when WRB A34005 1752 39 three three CD A34005 1752 40 sides side NNS A34005 1752 41 are be VBP A34005 1752 42 given give VBN A34005 1752 43 to to TO A34005 1752 44 find find VB A34005 1752 45 an an DT A34005 1752 46 Angle angle NN A34005 1752 47 , , , A34005 1752 48 by by IN A34005 1752 49 constituting constitute VBG A34005 1752 50 two two CD A34005 1752 51 right right RB A34005 1752 52 angled angle VBN A34005 1752 53 equi equi NN A34005 1752 54 - - HYPH A34005 1752 55 angled angle VBN A34005 1752 56 plain plain JJ A34005 1752 57 Triangles Triangles NNPS A34005 1752 58 , , , A34005 1752 59 the the DT A34005 1752 60 legs leg NNS A34005 1752 61 whereof whereof IN A34005 1752 62 consist consist VB A34005 1752 63 of of IN A34005 1752 64 the the DT A34005 1752 65 4 4 CD A34005 1752 66 terms term NNS A34005 1752 67 of of IN A34005 1752 68 this this DT A34005 1752 69 Proportion Proportion NNP A34005 1752 70 . . . A34005 1753 1 But but CC A34005 1753 2 in in IN A34005 1753 3 that that DT A34005 1753 4 Protraction protraction NN A34005 1753 5 work work NN A34005 1753 6 , , , A34005 1753 7 the the DT A34005 1753 8 first first JJ A34005 1753 9 and and CC A34005 1753 10 third third JJ A34005 1753 11 terms term NNS A34005 1753 12 of of IN A34005 1753 13 the the DT A34005 1753 14 Proportion proportion NN A34005 1753 15 are be VBP A34005 1753 16 given give VBN A34005 1753 17 together together RB A34005 1753 18 , , , A34005 1753 19 with with IN A34005 1753 20 the the DT A34005 1753 21 sum sum NN A34005 1753 22 of of IN A34005 1753 23 the the DT A34005 1753 24 second second JJ A34005 1753 25 and and CC A34005 1753 26 fourth fourth JJ A34005 1753 27 terms term NNS A34005 1753 28 , , , A34005 1753 29 to to TO A34005 1753 30 find find VB A34005 1753 31 out out RP A34005 1753 32 the the DT A34005 1753 33 said say VBN A34005 1753 34 terms term NNS A34005 1753 35 respectively respectively RB A34005 1753 36 . . . A34005 1754 1 The the DT A34005 1754 2 Proportion proportion NN A34005 1754 3 for for IN A34005 1754 4 the the DT A34005 1754 5 Hour Hour NNP A34005 1754 6 . . . A34005 1755 1 As as IN A34005 1755 2 the the DT A34005 1755 3 difference difference NN A34005 1755 4 of of IN A34005 1755 5 the the DT A34005 1755 6 Versed Versed NNP A34005 1755 7 Sines Sines NNPS A34005 1755 8 of of IN A34005 1755 9 the the DT A34005 1755 10 Sum Sum NNP A34005 1755 11 , , , A34005 1755 12 and and CC A34005 1755 13 difference difference NN A34005 1755 14 of of IN A34005 1755 15 the the DT A34005 1755 16 Complement Complement NNP A34005 1755 17 of of IN A34005 1755 18 the the DT A34005 1755 19 Latitude Latitude NNP A34005 1755 20 , , , A34005 1755 21 and and CC A34005 1755 22 of of IN A34005 1755 23 the the DT A34005 1755 24 Sun Sun NNP A34005 1755 25 or or CC A34005 1755 26 Stars Stars NNP A34005 1755 27 distance distance NN A34005 1755 28 from from IN A34005 1755 29 the the DT A34005 1755 30 Elevated Elevated NNP A34005 1755 31 Pole Pole NNP A34005 1755 32 , , , A34005 1755 33 Is be VBZ A34005 1755 34 to to IN A34005 1755 35 the the DT A34005 1755 36 Diameter Diameter NNP A34005 1755 37 or or CC A34005 1755 38 Versed Versed NNP A34005 1755 39 Sine Sine NNP A34005 1755 40 of of IN A34005 1755 41 180d 180d NNPS A34005 1755 42 , , , A34005 1755 43 So so RB A34005 1755 44 is be VBZ A34005 1755 45 the the DT A34005 1755 46 difference difference NN A34005 1755 47 of of IN A34005 1755 48 the the DT A34005 1755 49 Versed Versed NNP A34005 1755 50 Sines Sines NNPS A34005 1755 51 of of IN A34005 1755 52 the the DT A34005 1755 53 Complement Complement NNP A34005 1755 54 of of IN A34005 1755 55 the the DT A34005 1755 56 Altitude altitude NN A34005 1755 57 , , , A34005 1755 58 and and CC A34005 1755 59 of of IN A34005 1755 60 the the DT A34005 1755 61 Ark Ark NNP A34005 1755 62 of of IN A34005 1755 63 difference difference NN A34005 1755 64 between between IN A34005 1755 65 the the DT A34005 1755 66 Complement Complement NNP A34005 1755 67 of of IN A34005 1755 68 the the DT A34005 1755 69 Latitude Latitude NNP A34005 1755 70 , , , A34005 1755 71 and and CC A34005 1755 72 of of IN A34005 1755 73 the the DT A34005 1755 74 Polar Polar NNP A34005 1755 75 distance distance NN A34005 1755 76 , , , A34005 1755 77 To to IN A34005 1755 78 the the DT A34005 1755 79 Versed Versed NNP A34005 1755 80 Sine Sine NNP A34005 1755 81 of of IN A34005 1755 82 the the DT A34005 1755 83 Hour Hour NNP A34005 1755 84 from from IN A34005 1755 85 Noon Noon NNP A34005 1755 86 . . . A34005 1756 1 And and CC A34005 1756 2 if if IN A34005 1756 3 the the DT A34005 1756 4 latter latter JJ A34005 1756 5 clause clause NN A34005 1756 6 of of IN A34005 1756 7 the the DT A34005 1756 8 third third JJ A34005 1756 9 term term NN A34005 1756 10 be be VB A34005 1756 11 the the DT A34005 1756 12 Sum Sum NNP A34005 1756 13 of of IN A34005 1756 14 the the DT A34005 1756 15 Co co NN A34005 1756 16 - - NN A34005 1756 17 latitude latitude NN A34005 1756 18 and and CC A34005 1756 19 Polar Polar NNP A34005 1756 20 distance distance NN A34005 1756 21 , , , A34005 1756 22 the the DT A34005 1756 23 Proportion Proportion NNP A34005 1756 24 will will MD A34005 1756 25 find find VB A34005 1756 26 the the DT A34005 1756 27 Versed Versed NNP A34005 1756 28 Sine Sine NNP A34005 1756 29 of of IN A34005 1756 30 the the DT A34005 1756 31 hour hour NN A34005 1756 32 from from IN A34005 1756 33 midnight midnight NN A34005 1756 34 , , , A34005 1756 35 And and CC A34005 1756 36 if if IN A34005 1756 37 the the DT A34005 1756 38 sum sum NN A34005 1756 39 of of IN A34005 1756 40 any any DT A34005 1756 41 two two CD A34005 1756 42 Arks Arks NNPS A34005 1756 43 exceed exceed VBP A34005 1756 44 a a DT A34005 1756 45 Semicircle Semicircle NNP A34005 1756 46 , , , A34005 1756 47 take take VB A34005 1756 48 its -PRON- PRP$ A34005 1756 49 Complement Complement NNP A34005 1756 50 to to IN A34005 1756 51 360d 360d NNS A34005 1756 52 , , , A34005 1756 53 for for IN A34005 1756 54 the the DT A34005 1756 55 same same JJ A34005 1756 56 Versed Versed NNP A34005 1756 57 Sine Sine NNP A34005 1756 58 is be VBZ A34005 1756 59 common common JJ A34005 1756 60 to to IN A34005 1756 61 both both DT A34005 1756 62 . . . A34005 1757 1 When when WRB A34005 1757 2 the the DT A34005 1757 3 Declination Declination NNP A34005 1757 4 is be VBZ A34005 1757 5 towards towards IN A34005 1757 6 the the DT A34005 1757 7 Elevated Elevated NNP A34005 1757 8 Pole Pole NNP A34005 1757 9 , , , A34005 1757 10 the the DT A34005 1757 11 Polar Polar NNP A34005 1757 12 distance distance NN A34005 1757 13 is be VBZ A34005 1757 14 the the DT A34005 1757 15 Complement Complement NNP A34005 1757 16 of of IN A34005 1757 17 it -PRON- PRP A34005 1757 18 to to IN A34005 1757 19 90d 90d NNS A34005 1757 20 ; ; : A34005 1757 21 and and CC A34005 1757 22 when when WRB A34005 1757 23 towards towards IN A34005 1757 24 the the DT A34005 1757 25 Depressed Depressed NNP A34005 1757 26 Pole Pole NNP A34005 1757 27 , , , A34005 1757 28 the the DT A34005 1757 29 Polar Polar NNP A34005 1757 30 distance distance NN A34005 1757 31 is be VBZ A34005 1757 32 equal equal JJ A34005 1757 33 to to IN A34005 1757 34 the the DT A34005 1757 35 Sum Sum NNP A34005 1757 36 of of IN A34005 1757 37 90d 90d NNPS A34005 1757 38 , , , A34005 1757 39 and and CC A34005 1757 40 of of IN A34005 1757 41 the the DT A34005 1757 42 Declination Declination NNP A34005 1757 43 added add VBN A34005 1757 44 together together RB A34005 1757 45 . . . A34005 1758 1 Example example NN A34005 1758 2 . . . A34005 1759 1 Let let VB A34005 1759 2 the the DT A34005 1759 3 Suns Suns NNPS A34005 1759 4 Declination declination NN A34005 1759 5 be be VB A34005 1759 6 15d 15d NNS A34005 1759 7 46′ 46′ NNP A34005 1759 8 North North NNP A34005 1759 9 , , , A34005 1759 10 Complement Complement NNP A34005 1759 11 , , , A34005 1759 12 — — : A34005 1759 13 74d 74d CD A34005 1759 14 14′ 14′ CD A34005 1759 15 The the DT A34005 1759 16 Complement Complement NNP A34005 1759 17 of of IN A34005 1759 18 the the DT A34005 1759 19 Latitude Latitude NNP A34005 1759 20 , , , A34005 1759 21 — — : A34005 1759 22 38 38 CD A34005 1759 23 28 28 CD A34005 1759 24 Sum Sum NNP A34005 1759 25 — — : A34005 1759 26 112 112 CD A34005 1759 27 : : : A34005 1759 28 42 42 CD A34005 1759 29 Difference difference NN A34005 1759 30 — — : A34005 1759 31 35 35 CD A34005 1759 32 : : : A34005 1759 33 46 46 CD A34005 1759 34 And and CC A34005 1759 35 let let VB A34005 1759 36 the the DT A34005 1759 37 Altitude altitude NN A34005 1759 38 be be VB A34005 1759 39 20d 20d NNS A34005 1759 40 , , , A34005 1759 41 Complement Complement NNP A34005 1759 42 — — : A34005 1759 43 70 70 CD A34005 1759 44 : : SYM A34005 1759 45 00 00 NFP A34005 1759 46 Operation operation NN A34005 1759 47 . . . A34005 1760 1 Take take VB A34005 1760 2 the the DT A34005 1760 3 distance distance NN A34005 1760 4 between between IN A34005 1760 5 the the DT A34005 1760 6 Versed Versed NNP A34005 1760 7 Sines Sines NNPS A34005 1760 8 of of IN A34005 1760 9 35d 35d CD A34005 1760 10 46′ 46′ CD A34005 1760 11 , , , A34005 1760 12 and and CC A34005 1760 13 of of IN A34005 1760 14 112d 112d NNPS A34005 1760 15 42′ 42′ CD A34005 1760 16 , , , A34005 1760 17 and and CC A34005 1760 18 entring entre VBG A34005 1760 19 one one CD A34005 1760 20 foot foot NN A34005 1760 21 of of IN A34005 1760 22 that that DT A34005 1760 23 extent extent NN A34005 1760 24 at at IN A34005 1760 25 the the DT A34005 1760 26 end end NN A34005 1760 27 of of IN A34005 1760 28 the the DT A34005 1760 29 Versed Versed NNP A34005 1760 30 Scale Scale NNP A34005 1760 31 at at IN A34005 1760 32 180d 180d NNS A34005 1760 33 , , , A34005 1760 34 lay lie VBD A34005 1760 35 the the DT A34005 1760 36 thred thre VBN A34005 1760 37 to to IN A34005 1760 38 the the DT A34005 1760 39 other other JJ A34005 1760 40 foot foot NN A34005 1760 41 , , , A34005 1760 42 according accord VBG A34005 1760 43 to to IN A34005 1760 44 nearest near JJS A34005 1760 45 distance distance NN A34005 1760 46 , , , A34005 1760 47 then then RB A34005 1760 48 take take VB A34005 1760 49 the the DT A34005 1760 50 distance distance NN A34005 1760 51 between between IN A34005 1760 52 the the DT A34005 1760 53 Versed Versed NNP A34005 1760 54 Sines Sines NNPS A34005 1760 55 of of IN A34005 1760 56 35d 35d CD A34005 1760 57 46′ 46′ CD A34005 1760 58 , , , A34005 1760 59 and and CC A34005 1760 60 70d 70d NNS A34005 1760 61 , , , A34005 1760 62 and and CC A34005 1760 63 entring entre VBG A34005 1760 64 that that DT A34005 1760 65 extent extent NN A34005 1760 66 parallelly parallelly RB A34005 1760 67 , , , A34005 1760 68 between between IN A34005 1760 69 the the DT A34005 1760 70 Thred thred JJ A34005 1760 71 and and CC A34005 1760 72 the the DT A34005 1760 73 Scale Scale NNP A34005 1760 74 , , , A34005 1760 75 and and CC A34005 1760 76 the the DT A34005 1760 77 other other JJ A34005 1760 78 foot foot NN A34005 1760 79 will will MD A34005 1760 80 rest rest VB A34005 1760 81 upon upon IN A34005 1760 82 the the DT A34005 1760 83 Versed Versed NNP A34005 1760 84 Sine sine NN A34005 1760 85 of of IN A34005 1760 86 77d 77d CD A34005 1760 87 32′ 32′ CD A34005 1760 88 , , , A34005 1760 89 the the DT A34005 1760 90 quantity quantity NN A34005 1760 91 of of IN A34005 1760 92 the the DT A34005 1760 93 Hour Hour NNP A34005 1760 94 from from IN A34005 1760 95 the the DT A34005 1760 96 Meridian Meridian NNP A34005 1760 97 being be VBG A34005 1760 98 either either CC A34005 1760 99 50′ 50′ NN A34005 1760 100 past past IN A34005 1760 101 6 6 CD A34005 1760 102 in in IN A34005 1760 103 the the DT A34005 1760 104 morning morning NN A34005 1760 105 , , , A34005 1760 106 or or CC A34005 1760 107 10′ 10′ CD A34005 1760 108 past past JJ A34005 1760 109 5 5 CD A34005 1760 110 in in IN A34005 1760 111 the the DT A34005 1760 112 afternoon afternoon NN A34005 1760 113 . . . A34005 1761 1 The the DT A34005 1761 2 Reader reader NN A34005 1761 3 may may MD A34005 1761 4 observe observe VB A34005 1761 5 in in IN A34005 1761 6 this this DT A34005 1761 7 work work NN A34005 1761 8 , , , A34005 1761 9 that that IN A34005 1761 10 the the DT A34005 1761 11 thred thre VBN A34005 1761 12 lies lie VBZ A34005 1761 13 over over IN A34005 1761 14 a a DT A34005 1761 15 Star Star NNP A34005 1761 16 , , , A34005 1761 17 by by IN A34005 1761 18 entring entre VBG A34005 1761 19 the the DT A34005 1761 20 first first JJ A34005 1761 21 extent extent NN A34005 1761 22 ; ; : A34005 1761 23 as as RB A34005 1761 24 also also RB A34005 1761 25 , , , A34005 1761 26 that that IN A34005 1761 27 there there EX A34005 1761 28 is be VBZ A34005 1761 29 the the DT A34005 1761 30 same same JJ A34005 1761 31 Star Star NNP A34005 1761 32 graduated graduate VBD A34005 1761 33 at at IN A34005 1761 34 35d 35d NNS A34005 1761 35 46′ 46′ CD A34005 1761 36 of of IN A34005 1761 37 the the DT A34005 1761 38 Versed Versed NNP A34005 1761 39 Sine Sine NNP A34005 1761 40 , , , A34005 1761 41 and and CC A34005 1761 42 this this DT A34005 1761 43 no no DT A34005 1761 44 other other JJ A34005 1761 45 then then RB A34005 1761 46 the the DT A34005 1761 47 Bulls Bulls NNP A34005 1761 48 eye eye NN A34005 1761 49 , , , A34005 1761 50 having have VBG A34005 1761 51 15d 15d NNS A34005 1761 52 46′ 46′ CD A34005 1761 53 of of IN A34005 1761 54 North North NNP A34005 1761 55 Declination Declination NNP A34005 1761 56 , , , A34005 1761 57 for for IN A34005 1761 58 which which WDT A34005 1761 59 Star Star NNP A34005 1761 60 in in IN A34005 1761 61 this this DT A34005 1761 62 Latitude Latitude NNP A34005 1761 63 , , , A34005 1761 64 there there EX A34005 1761 65 needs need VBZ A34005 1761 66 be be VB A34005 1761 67 no no DT A34005 1761 68 summing sum VBG A34005 1761 69 or or CC A34005 1761 70 differencing differencing NN A34005 1761 71 of of IN A34005 1761 72 Arks Arks NNP A34005 1761 73 , , , A34005 1761 74 in in IN A34005 1761 75 regard regard NN A34005 1761 76 the the DT A34005 1761 77 Stars Stars NNPS A34005 1761 78 declination declination NN A34005 1761 79 varies vary VBZ A34005 1761 80 not not RB A34005 1761 81 : : : A34005 1761 82 So so CC A34005 1761 83 to to TO A34005 1761 84 find find VB A34005 1761 85 that that IN A34005 1761 86 Stars Stars NNP A34005 1761 87 hour hour NN A34005 1761 88 at at IN A34005 1761 89 any any DT A34005 1761 90 time time NN A34005 1761 91 , , , A34005 1761 92 having have VBG A34005 1761 93 any any DT A34005 1761 94 other other JJ A34005 1761 95 Altitude altitude NN A34005 1761 96 , , , A34005 1761 97 only only RB A34005 1761 98 lay lie VBD A34005 1761 99 the the DT A34005 1761 100 thred thre VBN A34005 1761 101 over over IN A34005 1761 102 that that DT A34005 1761 103 Star Star NNP A34005 1761 104 in in IN A34005 1761 105 the the DT A34005 1761 106 Quadrant Quadrant NNP A34005 1761 107 , , , A34005 1761 108 and and CC A34005 1761 109 take take VB A34005 1761 110 the the DT A34005 1761 111 distance distance NN A34005 1761 112 between between IN A34005 1761 113 the the DT A34005 1761 114 Star Star NNP A34005 1761 115 in in IN A34005 1761 116 the the DT A34005 1761 117 Scale Scale NNP A34005 1761 118 , , , A34005 1761 119 and and CC A34005 1761 120 the the DT A34005 1761 121 Complement Complement NNP A34005 1761 122 of of IN A34005 1761 123 its -PRON- PRP$ A34005 1761 124 Altitude altitude NN A34005 1761 125 , , , A34005 1761 126 and and CC A34005 1761 127 enter enter VBP A34005 1761 128 that that DT A34005 1761 129 extent extent NN A34005 1761 130 parallelly parallelly RB A34005 1761 131 between between IN A34005 1761 132 the the DT A34005 1761 133 Thred thred JJ A34005 1761 134 and and CC A34005 1761 135 the the DT A34005 1761 136 Scale Scale NNP A34005 1761 137 , , , A34005 1761 138 and and CC A34005 1761 139 it -PRON- PRP A34005 1761 140 finds find VBZ A34005 1761 141 the the DT A34005 1761 142 Stars Stars NNPS A34005 1761 143 hour hour NN A34005 1761 144 from from IN A34005 1761 145 the the DT A34005 1761 146 Meridian Meridian NNP A34005 1761 147 : : : A34005 1761 148 Thus thus RB A34005 1761 149 when when WRB A34005 1761 150 that that DT A34005 1761 151 Star Star NNP A34005 1761 152 hath hath NN A34005 1761 153 39d 39d NNS A34005 1761 154 of of IN A34005 1761 155 Altitude altitude NN A34005 1761 156 , , , A34005 1761 157 its -PRON- PRP$ A34005 1761 158 hour hour NN A34005 1761 159 from from IN A34005 1761 160 the the DT A34005 1761 161 Meridian Meridian NNP A34005 1761 162 will will MD A34005 1761 163 be be VB A34005 1761 164 found find VBN A34005 1761 165 to to TO A34005 1761 166 be be VB A34005 1761 167 45d 45d CD A34005 1761 168 54′ 54′ CD A34005 1761 169 , , , A34005 1761 170 in in IN A34005 1761 171 time time NN A34005 1761 172 , , , A34005 1761 173 3 3 CD A34005 1761 174 hours hour NNS A34005 1761 175 3½′ 3½′ CD A34005 1761 176 , , , A34005 1761 177 which which WDT A34005 1761 178 to to TO A34005 1761 179 get get VB A34005 1761 180 the the DT A34005 1761 181 true true JJ A34005 1761 182 time time NN A34005 1761 183 of of IN A34005 1761 184 the the DT A34005 1761 185 night night NN A34005 1761 186 , , , A34005 1761 187 must must MD A34005 1761 188 be be VB A34005 1761 189 turned turn VBN A34005 1761 190 into into IN A34005 1761 191 the the DT A34005 1761 192 Suns Suns NNP A34005 1761 193 hour hour NN A34005 1761 194 by by IN A34005 1761 195 help help NN A34005 1761 196 of of IN A34005 1761 197 the the DT A34005 1761 198 Nocturnal Nocturnal NNP A34005 1761 199 on on IN A34005 1761 200 the the DT A34005 1761 201 Back back JJ A34005 1761 202 - - HYPH A34005 1761 203 side side NN A34005 1761 204 : : : A34005 1761 205 But but CC A34005 1761 206 admitting admit VBG A34005 1761 207 the the DT A34005 1761 208 Suns Suns NNPS A34005 1761 209 Declination Declination NNP A34005 1761 210 and and CC A34005 1761 211 Altitude Altitude NNP A34005 1761 212 to to TO A34005 1761 213 have have VB A34005 1761 214 been be VBN A34005 1761 215 the the DT A34005 1761 216 same same JJ A34005 1761 217 with with IN A34005 1761 218 the the DT A34005 1761 219 Stars Stars NNPS A34005 1761 220 , , , A34005 1761 221 the the DT A34005 1761 222 true true JJ A34005 1761 223 time time NN A34005 1761 224 of of IN A34005 1761 225 the the DT A34005 1761 226 day day NN A34005 1761 227 thus thus RB A34005 1761 228 found find VBD A34005 1761 229 , , , A34005 1761 230 would would MD A34005 1761 231 have have VB A34005 1761 232 been be VBN A34005 1761 233 56½′ 56½′ CD A34005 1761 234 past past IN A34005 1761 235 9 9 CD A34005 1761 236 in in IN A34005 1761 237 the the DT A34005 1761 238 morning morning NN A34005 1761 239 , , , A34005 1761 240 or or CC A34005 1761 241 3½′ 3½′ CD A34005 1761 242 past past JJ A34005 1761 243 3 3 CD A34005 1761 244 in in IN A34005 1761 245 the the DT A34005 1761 246 afternoon afternoon NN A34005 1761 247 ; ; : A34005 1761 248 and and CC A34005 1761 249 thus thus RB A34005 1761 250 the the DT A34005 1761 251 Reader reader NN A34005 1761 252 may may MD A34005 1761 253 have have VB A34005 1761 254 what what WP A34005 1761 255 Stars star NNS A34005 1761 256 he -PRON- PRP A34005 1761 257 pleases please VBZ A34005 1761 258 put put VBN A34005 1761 259 on on RP A34005 1761 260 of of IN A34005 1761 261 any any DT A34005 1761 262 Declination Declination NNP A34005 1761 263 , , , A34005 1761 264 and and CC A34005 1761 265 for for IN A34005 1761 266 any any DT A34005 1761 267 Latitude Latitude NNP A34005 1761 268 ; ; : A34005 1761 269 and and CC A34005 1761 270 they -PRON- PRP A34005 1761 271 may may MD A34005 1761 272 be be VB A34005 1761 273 put put VBN A34005 1761 274 on on RP A34005 1761 275 at at IN A34005 1761 276 such such PDT A34005 1761 277 a a DT A34005 1761 278 distance distance NN A34005 1761 279 from from IN A34005 1761 280 the the DT A34005 1761 281 Center Center NNP A34005 1761 282 , , , A34005 1761 283 that that IN A34005 1761 284 the the DT A34005 1761 285 distance distance NN A34005 1761 286 from from IN A34005 1761 287 it -PRON- PRP A34005 1761 288 to to IN A34005 1761 289 the the DT A34005 1761 290 Star Star NNP A34005 1761 291 , , , A34005 1761 292 may may MD A34005 1761 293 be be VB A34005 1761 294 a a DT A34005 1761 295 Chord Chord NNP A34005 1761 296 to to TO A34005 1761 297 be be VB A34005 1761 298 measured measure VBN A34005 1761 299 in in IN A34005 1761 300 the the DT A34005 1761 301 Limb Limb NNP A34005 1761 302 , , , A34005 1761 303 to to TO A34005 1761 304 give give VB A34005 1761 305 the the DT A34005 1761 306 Stars Stars NNPS A34005 1761 307 Ascensional Ascensional NNP A34005 1761 308 difference difference NN A34005 1761 309 , , , A34005 1761 310 or or CC A34005 1761 311 the the DT A34005 1761 312 like like JJ A34005 1761 313 conclusion conclusion NN A34005 1761 314 : : : A34005 1761 315 And and CC A34005 1761 316 thus thus RB A34005 1761 317 the the DT A34005 1761 318 thred thre VBN A34005 1761 319 being being NN A34005 1761 320 once once RB A34005 1761 321 laid lay VBN A34005 1761 322 , , , A34005 1761 323 and and CC A34005 1761 324 the the DT A34005 1761 325 former former JJ A34005 1761 326 point point NN A34005 1761 327 found find VBD A34005 1761 328 for for IN A34005 1761 329 one one CD A34005 1761 330 example example NN A34005 1761 331 to to IN A34005 1761 332 the the DT A34005 1761 333 Suns Suns NNPS A34005 1761 334 Declination Declination NNP A34005 1761 335 , , , A34005 1761 336 neither neither DT A34005 1761 337 of of IN A34005 1761 338 them -PRON- PRP A34005 1761 339 varies vary VBZ A34005 1761 340 that that DT A34005 1761 341 day day NN A34005 1761 342 ; ; : A34005 1761 343 which which WDT A34005 1761 344 is be VBZ A34005 1761 345 a a DT A34005 1761 346 ready ready JJ A34005 1761 347 general general JJ A34005 1761 348 way way NN A34005 1761 349 for for IN A34005 1761 350 finding find VBG A34005 1761 351 the the DT A34005 1761 352 time time NN A34005 1761 353 of of IN A34005 1761 354 the the DT A34005 1761 355 day day NN A34005 1761 356 for for IN A34005 1761 357 the the DT A34005 1761 358 Sun Sun NNP A34005 1761 359 . . . A34005 1762 1 To to TO A34005 1762 2 find find VB A34005 1762 3 the the DT A34005 1762 4 Semidiurnal Semidiurnal NNP A34005 1762 5 , , , A34005 1762 6 and and CC A34005 1762 7 Seminocturnal Seminocturnal NNP A34005 1762 8 Arks Arks NNP A34005 1762 9 . . . A34005 1763 1 SUppose suppose VB A34005 1763 2 the the DT A34005 1763 3 Sun Sun NNP A34005 1763 4 to to TO A34005 1763 5 have have VB A34005 1763 6 no no DT A34005 1763 7 Altitude altitude NN A34005 1763 8 , , , A34005 1763 9 and and CC A34005 1763 10 the the DT A34005 1763 11 Complement Complement NNP A34005 1763 12 of of IN A34005 1763 13 it -PRON- PRP A34005 1763 14 to to TO A34005 1763 15 be be VB A34005 1763 16 90d 90d NNS A34005 1763 17 , , , A34005 1763 18 and and CC A34005 1763 19 then then RB A34005 1763 20 work work VB A34005 1763 21 by by IN A34005 1763 22 the the DT A34005 1763 23 former former JJ A34005 1763 24 precept precept NN A34005 1763 25 , , , A34005 1763 26 and and CC A34005 1763 27 you -PRON- PRP A34005 1763 28 will will MD A34005 1763 29 find find VB A34005 1763 30 the the DT A34005 1763 31 Semidiurnal Semidiurnal NNP A34005 1763 32 Ark Ark NNP A34005 1763 33 from from IN A34005 1763 34 the the DT A34005 1763 35 beginning beginning NN A34005 1763 36 of of IN A34005 1763 37 the the DT A34005 1763 38 Line Line NNP A34005 1763 39 , , , A34005 1763 40 and and CC A34005 1763 41 the the DT A34005 1763 42 Seminocturnal Seminocturnal NNP A34005 1763 43 Ark Ark NNP A34005 1763 44 from from IN A34005 1763 45 the the DT A34005 1763 46 end end NN A34005 1763 47 of of IN A34005 1763 48 the the DT A34005 1763 49 Line Line NNP A34005 1763 50 , , , A34005 1763 51 which which WDT A34005 1763 52 doubled double VBD A34005 1763 53 , , , A34005 1763 54 and and CC A34005 1763 55 turned turn VBN A34005 1763 56 into into IN A34005 1763 57 time time NN A34005 1763 58 , , , A34005 1763 59 shews shew VBZ A34005 1763 60 the the DT A34005 1763 61 length length NN A34005 1763 62 of of IN A34005 1763 63 the the DT A34005 1763 64 Day Day NNP A34005 1763 65 and and CC A34005 1763 66 Night Night NNP A34005 1763 67 , , , A34005 1763 68 and and CC A34005 1763 69 the the DT A34005 1763 70 difference difference NN A34005 1763 71 between between IN A34005 1763 72 90d 90d NNS A34005 1763 73 , , , A34005 1763 74 and and CC A34005 1763 75 either either DT A34005 1763 76 of of IN A34005 1763 77 those those DT A34005 1763 78 Arks Arks NNP A34005 1763 79 is be VBZ A34005 1763 80 the the DT A34005 1763 81 Ascensional ascensional JJ A34005 1763 82 difference difference NN A34005 1763 83 , , , A34005 1763 84 or or CC A34005 1763 85 time time NN A34005 1763 86 of of IN A34005 1763 87 rising rise VBG A34005 1763 88 and and CC A34005 1763 89 setting set VBG A34005 1763 90 from from IN A34005 1763 91 6 6 CD A34005 1763 92 . . . A34005 1764 1 To to TO A34005 1764 2 find find VB A34005 1764 3 the the DT A34005 1764 4 Azimuth Azimuth NNP A34005 1764 5 generally generally RB A34005 1764 6 . . . A34005 1765 1 The the DT A34005 1765 2 Proportions Proportions NNPS A34005 1765 3 for for IN A34005 1765 4 this this DT A34005 1765 5 purpose purpose NN A34005 1765 6 have have VBP A34005 1765 7 been be VBN A34005 1765 8 delivered deliver VBN A34005 1765 9 before before RB A34005 1765 10 , , , A34005 1765 11 from from IN A34005 1765 12 which which WDT A34005 1765 13 it -PRON- PRP A34005 1765 14 may may MD A34005 1765 15 be be VB A34005 1765 16 observed observe VBN A34005 1765 17 , , , A34005 1765 18 that that IN A34005 1765 19 there there EX A34005 1765 20 are be VBP A34005 1765 21 no no DT A34005 1765 22 two two CD A34005 1765 23 terms term NNS A34005 1765 24 fixed fix VBN A34005 1765 25 , , , A34005 1765 26 and and CC A34005 1765 27 therefore therefore RB A34005 1765 28 to to IN A34005 1765 29 every every DT A34005 1765 30 Altitude Altitude NNP A34005 1765 31 , , , A34005 1765 32 the the DT A34005 1765 33 containing contain VBG A34005 1765 34 sides side NNS A34005 1765 35 of of IN A34005 1765 36 the the DT A34005 1765 37 Triangle Triangle NNP A34005 1765 38 , , , A34005 1765 39 namely namely RB A34005 1765 40 , , , A34005 1765 41 the the DT A34005 1765 42 Complements Complements NNPS A34005 1765 43 both both DT A34005 1765 44 of of IN A34005 1765 45 the the DT A34005 1765 46 Altitude Altitude NNP A34005 1765 47 and and CC A34005 1765 48 Latitude Latitude NNP A34005 1765 49 must must MD A34005 1765 50 be be VB A34005 1765 51 summed sum VBN A34005 1765 52 and and CC A34005 1765 53 differenced difference VBN A34005 1765 54 , , , A34005 1765 55 when when WRB A34005 1765 56 the the DT A34005 1765 57 Proposition Proposition NNP A34005 1765 58 is be VBZ A34005 1765 59 to to TO A34005 1765 60 be be VB A34005 1765 61 performed perform VBN A34005 1765 62 on on IN A34005 1765 63 this this DT A34005 1765 64 Line Line NNP A34005 1765 65 solely solely RB A34005 1765 66 , , , A34005 1765 67 and and CC A34005 1765 68 the the DT A34005 1765 69 Operation operation NN A34005 1765 70 will will MD A34005 1765 71 be be VB A34005 1765 72 after after IN A34005 1765 73 the the DT A34005 1765 74 same same JJ A34005 1765 75 manner manner NN A34005 1765 76 , , , A34005 1765 77 as as IN A34005 1765 78 for for IN A34005 1765 79 the the DT A34005 1765 80 hour hour NN A34005 1765 81 , , , A34005 1765 82 namely namely RB A34005 1765 83 , , , A34005 1765 84 with with IN A34005 1765 85 a a DT A34005 1765 86 Parallel parallel JJ A34005 1765 87 entrance entrance NN A34005 1765 88 : : : A34005 1765 89 and and CC A34005 1765 90 this this DT A34005 1765 91 is be VBZ A34005 1765 92 all all DT A34005 1765 93 I -PRON- PRP A34005 1765 94 shall shall MD A34005 1765 95 say say VB A34005 1765 96 of of IN A34005 1765 97 the the DT A34005 1765 98 Authors Authors NNP A34005 1765 99 general general JJ A34005 1765 100 way way NN A34005 1765 101 ; ; : A34005 1765 102 and and CC A34005 1765 103 of of IN A34005 1765 104 any any DT A34005 1765 105 other other JJ A34005 1765 106 that that IN A34005 1765 107 he -PRON- PRP A34005 1765 108 used use VBD A34005 1765 109 , , , A34005 1765 110 I -PRON- PRP A34005 1765 111 never never RB A34005 1765 112 heard hear VBD A34005 1765 113 of of IN A34005 1765 114 ; ; : A34005 1765 115 those those DT A34005 1765 116 ways way NNS A34005 1765 117 that that WDT A34005 1765 118 follow follow VBP A34005 1765 119 , , , A34005 1765 120 being be VBG A34005 1765 121 of of IN A34005 1765 122 my -PRON- PRP$ A34005 1765 123 own own JJ A34005 1765 124 supply supply NN A34005 1765 125 . . . A34005 1766 1 By by IN A34005 1766 2 help help NN A34005 1766 3 of of IN A34005 1766 4 this this DT A34005 1766 5 Line Line NNP A34005 1766 6 to to TO A34005 1766 7 work work VB A34005 1766 8 a a DT A34005 1766 9 Proportion proportion NN A34005 1766 10 in in IN A34005 1766 11 Sines sine NNS A34005 1766 12 alone alone RB A34005 1766 13 , , , A34005 1766 14 wherein wherein WRB A34005 1766 15 the the DT A34005 1766 16 Radius Radius NNP A34005 1766 17 leads lead VBZ A34005 1766 18 . . . A34005 1767 1 As as IN A34005 1767 2 the the DT A34005 1767 3 Radius Radius NNP A34005 1767 4 Is be VBZ A34005 1767 5 to to IN A34005 1767 6 the the DT A34005 1767 7 Sine Sine NNP A34005 1767 8 of of IN A34005 1767 9 any any DT A34005 1767 10 Ark Ark NNP A34005 1767 11 , , , A34005 1767 12 So so RB A34005 1767 13 is be VBZ A34005 1767 14 the the DT A34005 1767 15 Sine Sine NNP A34005 1767 16 of of IN A34005 1767 17 any any DT A34005 1767 18 other other JJ A34005 1767 19 Ark Ark NNP A34005 1767 20 To to IN A34005 1767 21 the the DT A34005 1767 22 Sine Sine NNP A34005 1767 23 of of IN A34005 1767 24 a a DT A34005 1767 25 fourth fourth JJ A34005 1767 26 Ark. Arkansas NNP A34005 1768 1 This this DT A34005 1768 2 fourth fourth JJ A34005 1768 3 Sine Sine NNP A34005 1768 4 , , , A34005 1768 5 as as IN A34005 1768 6 I -PRON- PRP A34005 1768 7 have have VBP A34005 1768 8 said say VBD A34005 1768 9 before before RB A34005 1768 10 , , , A34005 1768 11 is be VBZ A34005 1768 12 demonstrated demonstrate VBN A34005 1768 13 by by IN A34005 1768 14 M. M. NNP A34005 1768 15 Gellibrand Gellibrand NNP A34005 1768 16 , , , A34005 1768 17 to to TO A34005 1768 18 be be VB A34005 1768 19 equal equal JJ A34005 1768 20 to to IN A34005 1768 21 half half PDT A34005 1768 22 the the DT A34005 1768 23 difference difference NN A34005 1768 24 of of IN A34005 1768 25 the the DT A34005 1768 26 Versed Versed NNP A34005 1768 27 Sines Sines NNPS A34005 1768 28 of of IN A34005 1768 29 the the DT A34005 1768 30 Sum Sum NNP A34005 1768 31 , , , A34005 1768 32 and and CC A34005 1768 33 difference difference NN A34005 1768 34 of of IN A34005 1768 35 the the DT A34005 1768 36 two two CD A34005 1768 37 middle middle JJ A34005 1768 38 terms term NNS A34005 1768 39 of of IN A34005 1768 40 the the DT A34005 1768 41 Proportion Proportion NNP A34005 1768 42 . . . A34005 1769 1 Operation operation NN A34005 1769 2 . . . A34005 1770 1 Let let VB A34005 1770 2 the the DT A34005 1770 3 Proportion proportion NN A34005 1770 4 be be VB A34005 1770 5 , , , A34005 1770 6 As as IN A34005 1770 7 the the DT A34005 1770 8 Radius Radius NNP A34005 1770 9 Is be VBZ A34005 1770 10 to to IN A34005 1770 11 the the DT A34005 1770 12 Sine Sine NNP A34005 1770 13 of of IN A34005 1770 14 — — : A34005 1770 15 40d 40d NNS A34005 1770 16 So so RB A34005 1770 17 is be VBZ A34005 1770 18 the the DT A34005 1770 19 Sine Sine NNP A34005 1770 20 of of IN A34005 1770 21 — — : A34005 1770 22 27 27 CD A34005 1770 23 To to IN A34005 1770 24 a a DT A34005 1770 25 fourth fourth JJ A34005 1770 26 Sine Sine NNP A34005 1770 27 Sum Sum NNP A34005 1770 28 — — : A34005 1770 29 67 67 CD A34005 1770 30 Difference difference NN A34005 1770 31 — — : A34005 1770 32 13 13 CD A34005 1770 33 Take take VBP A34005 1770 34 the the DT A34005 1770 35 distance distance NN A34005 1770 36 between between IN A34005 1770 37 the the DT A34005 1770 38 Versed Versed NNP A34005 1770 39 Sines Sines NNPS A34005 1770 40 of of IN A34005 1770 41 the the DT A34005 1770 42 said say VBN A34005 1770 43 sum sum NN A34005 1770 44 and and CC A34005 1770 45 difference difference NN A34005 1770 46 , , , A34005 1770 47 and and CC A34005 1770 48 measure measure VB A34005 1770 49 it -PRON- PRP A34005 1770 50 on on IN A34005 1770 51 the the DT A34005 1770 52 Line Line NNP A34005 1770 53 of of IN A34005 1770 54 Sines Sines NNPS A34005 1770 55 from from IN A34005 1770 56 the the DT A34005 1770 57 Center Center NNP A34005 1770 58 , , , A34005 1770 59 and and CC A34005 1770 60 it -PRON- PRP A34005 1770 61 will will MD A34005 1770 62 reach reach VB A34005 1770 63 to to IN A34005 1770 64 17d 17d NNS A34005 1770 65 , , , A34005 1770 66 the the DT A34005 1770 67 fourth fourth JJ A34005 1770 68 Sine Sine NNP A34005 1770 69 sought seek VBD A34005 1770 70 . . . A34005 1771 1 By by IN A34005 1771 2 help help NN A34005 1771 3 of of IN A34005 1771 4 this this DT A34005 1771 5 Line Line NNP A34005 1771 6 may may MD A34005 1771 7 the the DT A34005 1771 8 Divisions Divisions NNPS A34005 1771 9 of of IN A34005 1771 10 the the DT A34005 1771 11 line line NN A34005 1771 12 Sol Sol NNP A34005 1771 13 , , , A34005 1771 14 or or CC A34005 1771 15 Proportional Proportional NNP A34005 1771 16 Sines Sines NNPS A34005 1771 17 , , , A34005 1771 18 be be VB A34005 1771 19 graduated graduate VBN A34005 1771 20 to to IN A34005 1771 21 any any DT A34005 1771 22 Radius Radius NNP A34005 1771 23 less less RBR A34005 1771 24 then then RB A34005 1771 25 half half PDT A34005 1771 26 the the DT A34005 1771 27 Radius Radius NNP A34005 1771 28 of of IN A34005 1771 29 the the DT A34005 1771 30 Quadrant Quadrant NNP A34005 1771 31 , , , A34005 1771 32 the the DT A34005 1771 33 Canon Canon NNP A34005 1771 34 is be VBZ A34005 1771 35 , , , A34005 1771 36 As as IN A34005 1771 37 the the DT A34005 1771 38 Versed Versed NNP A34005 1771 39 Sine Sine NNP A34005 1771 40 of of IN A34005 1771 41 any any DT A34005 1771 42 Ark Ark NNP A34005 1771 43 added add VBD A34005 1771 44 to to IN A34005 1771 45 a a DT A34005 1771 46 Quadrant Quadrant NNP A34005 1771 47 , , , A34005 1771 48 Is be VBZ A34005 1771 49 to to IN A34005 1771 50 the the DT A34005 1771 51 Radius radius NN A34005 1771 52 , , , A34005 1771 53 or or CC A34005 1771 54 length length NN A34005 1771 55 of of IN A34005 1771 56 the the DT A34005 1771 57 Line Line NNP A34005 1771 58 Sol Sol NNP A34005 1771 59 , , , A34005 1771 60 So so RB A34005 1771 61 is be VBZ A34005 1771 62 the the DT A34005 1771 63 Versed Versed NNP A34005 1771 64 Sine Sine NNP A34005 1771 65 of of IN A34005 1771 66 that that DT A34005 1771 67 Arks Arks NNP A34005 1771 68 Complement Complement NNP A34005 1771 69 to to IN A34005 1771 70 90d 90d NNS A34005 1771 71 To to IN A34005 1771 72 that that DT A34005 1771 73 length length NN A34005 1771 74 which which WDT A34005 1771 75 pricked prick VBD A34005 1771 76 backward backward RB A34005 1771 77 from from IN A34005 1771 78 the the DT A34005 1771 79 end end NN A34005 1771 80 of of IN A34005 1771 81 the the DT A34005 1771 82 Radius Radius NNP A34005 1771 83 of of IN A34005 1771 84 the the DT A34005 1771 85 said say VBN A34005 1771 86 Line Line NNP A34005 1771 87 , , , A34005 1771 88 shall shall MD A34005 1771 89 graduate graduate VB A34005 1771 90 the the DT A34005 1771 91 Arch Arch NNP A34005 1771 92 proposed proposed NN A34005 1771 93 . . . A34005 1772 1 Example example NN A34005 1772 2 . . . A34005 1773 1 Suppose suppose VB A34005 1773 2 you -PRON- PRP A34005 1773 3 would would MD A34005 1773 4 graduate graduate VB A34005 1773 5 20 20 CD A34005 1773 6 of of IN A34005 1773 7 the the DT A34005 1773 8 Line Line NNP A34005 1773 9 Sol Sol NNP A34005 1773 10 , , , A34005 1773 11 enter enter VB A34005 1773 12 the the DT A34005 1773 13 Radius Radius NNP A34005 1773 14 of of IN A34005 1773 15 the the DT A34005 1773 16 said say VBN A34005 1773 17 Line Line NNP A34005 1773 18 upon upon IN A34005 1773 19 the the DT A34005 1773 20 Versed Versed NNP A34005 1773 21 Sine Sine NNP A34005 1773 22 of of IN A34005 1773 23 110d 110d NNPS A34005 1773 24 , , , A34005 1773 25 laying lay VBG A34005 1773 26 the the DT A34005 1773 27 thred thre VBN A34005 1773 28 to to IN A34005 1773 29 the the DT A34005 1773 30 other other JJ A34005 1773 31 foot foot NN A34005 1773 32 ; ; : A34005 1773 33 and and CC A34005 1773 34 from from IN A34005 1773 35 the the DT A34005 1773 36 Versed Versed NNP A34005 1773 37 Sine Sine NNP A34005 1773 38 of of IN A34005 1773 39 70d 70d NNPS A34005 1773 40 , , , A34005 1773 41 take take VB A34005 1773 42 the the DT A34005 1773 43 nearest near JJS A34005 1773 44 distance distance NN A34005 1773 45 to to IN A34005 1773 46 the the DT A34005 1773 47 thred thre VBN A34005 1773 48 , , , A34005 1773 49 which which WDT A34005 1773 50 prick prick VBP A34005 1773 51 from from IN A34005 1773 52 the the DT A34005 1773 53 end end NN A34005 1773 54 of of IN A34005 1773 55 the the DT A34005 1773 56 Line Line NNP A34005 1773 57 Sol Sol NNP A34005 1773 58 , , , A34005 1773 59 towards towards IN A34005 1773 60 the the DT A34005 1773 61 beginning beginning NN A34005 1773 62 , , , A34005 1773 63 and and CC A34005 1773 64 it -PRON- PRP A34005 1773 65 shall shall MD A34005 1773 66 graduate graduate VB A34005 1773 67 the the DT A34005 1773 68 said say VBN A34005 1773 69 20d 20d NNS A34005 1773 70 . . . A34005 1774 1 This this DT A34005 1774 2 Line Line NNP A34005 1774 3 Sol Sol NNP A34005 1774 4 is be VBZ A34005 1774 5 made make VBN A34005 1774 6 use use NN A34005 1774 7 of of IN A34005 1774 8 by by IN A34005 1774 9 M. M. NNP A34005 1774 10 Foster Foster NNP A34005 1774 11 in in IN A34005 1774 12 his -PRON- PRP$ A34005 1774 13 Scale scale NN A34005 1774 14 for for IN A34005 1774 15 Dyalling dyalle VBG A34005 1774 16 . . . A34005 1775 1 The the DT A34005 1775 2 Line Line NNP A34005 1775 3 of of IN A34005 1775 4 Versed Versed NNP A34005 1775 5 Sines Sines NNP A34005 1775 6 was be VBD A34005 1775 7 placed place VBN A34005 1775 8 on on IN A34005 1775 9 the the DT A34005 1775 10 left left JJ A34005 1775 11 edge edge NN A34005 1775 12 of of IN A34005 1775 13 the the DT A34005 1775 14 foreside foreside NN A34005 1775 15 of of IN A34005 1775 16 the the DT A34005 1775 17 Quadrant Quadrant NNP A34005 1775 18 , , , A34005 1775 19 for for IN A34005 1775 20 the the DT A34005 1775 21 ready ready JJ A34005 1775 22 taking take VBG A34005 1775 23 out out RP A34005 1775 24 the the DT A34005 1775 25 difference difference NN A34005 1775 26 of of IN A34005 1775 27 the the DT A34005 1775 28 Versed Versed NNP A34005 1775 29 Sines Sines NNPS A34005 1775 30 of of IN A34005 1775 31 any any DT A34005 1775 32 two two CD A34005 1775 33 Arks Arks NNPS A34005 1775 34 , , , A34005 1775 35 and and CC A34005 1775 36 to to TO A34005 1775 37 measure measure VB A34005 1775 38 a a DT A34005 1775 39 difference difference NN A34005 1775 40 of of IN A34005 1775 41 two two CD A34005 1775 42 Versed versed JJ A34005 1775 43 Sines Sines NNPS A34005 1775 44 upon upon IN A34005 1775 45 it -PRON- PRP A34005 1775 46 , , , A34005 1775 47 which which WDT A34005 1775 48 are be VBP A34005 1775 49 the the DT A34005 1775 50 chief chief NN A34005 1775 51 uses use NNS A34005 1775 52 I -PRON- PRP A34005 1775 53 shall shall MD A34005 1775 54 make make VB A34005 1775 55 of of IN A34005 1775 56 it -PRON- PRP A34005 1775 57 ; ; : A34005 1775 58 whereas whereas IN A34005 1775 59 to to TO A34005 1775 60 Operate operate VB A34005 1775 61 singly singly RB A34005 1775 62 upon upon IN A34005 1775 63 it -PRON- PRP A34005 1775 64 , , , A34005 1775 65 it -PRON- PRP A34005 1775 66 would would MD A34005 1775 67 be be VB A34005 1775 68 more more RBR A34005 1775 69 convenient convenient JJ A34005 1775 70 for for IN A34005 1775 71 the the DT A34005 1775 72 hand hand NN A34005 1775 73 to to TO A34005 1775 74 have have VB A34005 1775 75 it -PRON- PRP A34005 1775 76 lie lie VB A34005 1775 77 on on IN A34005 1775 78 the the DT A34005 1775 79 right right JJ A34005 1775 80 edge edge NN A34005 1775 81 of of IN A34005 1775 82 the the DT A34005 1775 83 Quadrant Quadrant NNP A34005 1775 84 . . . A34005 1776 1 An an DT A34005 1776 2 example example NN A34005 1776 3 for for IN A34005 1776 4 finding find VBG A34005 1776 5 the the DT A34005 1776 6 Azimuth Azimuth NNP A34005 1776 7 generally generally RB A34005 1776 8 , , , A34005 1776 9 by by IN A34005 1776 10 help help NN A34005 1776 11 of of IN A34005 1776 12 Versed Versed NNP A34005 1776 13 Sines Sines NNPS A34005 1776 14 in in IN A34005 1776 15 the the DT A34005 1776 16 Limb Limb NNP A34005 1776 17 , , , A34005 1776 18 and and CC A34005 1776 19 of of IN A34005 1776 20 other other JJ A34005 1776 21 Lines line NNS A34005 1776 22 on on IN A34005 1776 23 the the DT A34005 1776 24 Quadrant quadrant NN A34005 1776 25 . . . A34005 1777 1 I -PRON- PRP A34005 1777 2 shall shall MD A34005 1777 3 rehearse rehearse VB A34005 1777 4 the the DT A34005 1777 5 Proportion Proportion NNP A34005 1777 6 , , , A34005 1777 7 As as IN A34005 1777 8 the the DT A34005 1777 9 Cosine Cosine NNP A34005 1777 10 of of IN A34005 1777 11 the the DT A34005 1777 12 Latitude Latitude NNP A34005 1777 13 is be VBZ A34005 1777 14 to to IN A34005 1777 15 the the DT A34005 1777 16 Secant Secant NNP A34005 1777 17 of of IN A34005 1777 18 the the DT A34005 1777 19 Altitude altitude NN A34005 1777 20 , , , A34005 1777 21 Or or CC A34005 1777 22 , , , A34005 1777 23 As as IN A34005 1777 24 the the DT A34005 1777 25 Cosine Cosine NNP A34005 1777 26 of of IN A34005 1777 27 the the DT A34005 1777 28 Altitude altitude NN A34005 1777 29 is be VBZ A34005 1777 30 to to IN A34005 1777 31 the the DT A34005 1777 32 Secant Secant NNP A34005 1777 33 of of IN A34005 1777 34 the the DT A34005 1777 35 Latitude Latitude NNP A34005 1777 36 , , , A34005 1777 37 So so RB A34005 1777 38 is be VBZ A34005 1777 39 the the DT A34005 1777 40 difference difference NN A34005 1777 41 of of IN A34005 1777 42 the the DT A34005 1777 43 Versed Versed NNP A34005 1777 44 Sines Sines NNPS A34005 1777 45 of of IN A34005 1777 46 the the DT A34005 1777 47 Suns Suns NNP A34005 1777 48 distance distance NN A34005 1777 49 from from IN A34005 1777 50 the the DT A34005 1777 51 Elevated Elevated NNP A34005 1777 52 Pole Pole NNP A34005 1777 53 , , , A34005 1777 54 and and CC A34005 1777 55 of of IN A34005 1777 56 the the DT A34005 1777 57 Ark Ark NNP A34005 1777 58 of of IN A34005 1777 59 difference difference NN A34005 1777 60 between between IN A34005 1777 61 the the DT A34005 1777 62 Latititude Latititude NNP A34005 1777 63 and and CC A34005 1777 64 Altitude Altitude NNP A34005 1777 65 , , , A34005 1777 66 To to IN A34005 1777 67 the the DT A34005 1777 68 Versed Versed NNP A34005 1777 69 Sine Sine NNP A34005 1777 70 of of IN A34005 1777 71 the the DT A34005 1777 72 Azimuth Azimuth NNP A34005 1777 73 from from IN A34005 1777 74 the the DT A34005 1777 75 midnight midnight NN A34005 1777 76 meridian meridian NN A34005 1777 77 . . . A34005 1778 1 And and CC A34005 1778 2 making make VBG A34005 1778 3 the the DT A34005 1778 4 latter latter JJ A34005 1778 5 clause clause NN A34005 1778 6 of of IN A34005 1778 7 the the DT A34005 1778 8 third third JJ A34005 1778 9 term term NN A34005 1778 10 the the DT A34005 1778 11 Complement Complement NNP A34005 1778 12 of of IN A34005 1778 13 the the DT A34005 1778 14 Sum Sum NNP A34005 1778 15 of of IN A34005 1778 16 the the DT A34005 1778 17 Latitude Latitude NNP A34005 1778 18 and and CC A34005 1778 19 Altitude Altitude NNP A34005 1778 20 to to IN A34005 1778 21 a a DT A34005 1778 22 Semicircle Semicircle NNP A34005 1778 23 , , , A34005 1778 24 the the DT A34005 1778 25 Proportion proportion NN A34005 1778 26 will will MD A34005 1778 27 find find VB A34005 1778 28 the the DT A34005 1778 29 versed verse VBN A34005 1778 30 Sine Sine NNP A34005 1778 31 of of IN A34005 1778 32 the the DT A34005 1778 33 Azimuth Azimuth NNP A34005 1778 34 from from IN A34005 1778 35 the the DT A34005 1778 36 noon noon NN A34005 1778 37 Meridian Meridian NNP A34005 1778 38 . . . A34005 1779 1 Example example NN A34005 1779 2 . . . A34005 1780 1 Altitude altitude NN A34005 1780 2 , , , A34005 1780 3 — — : A34005 1780 4 51d 51d NNS A34005 1780 5 32′ 32′ NNP A34005 1780 6 Latitude Latitude NNP A34005 1780 7 — — : A34005 1780 8 34 34 CD A34005 1780 9 : : : A34005 1780 10 32 32 CD A34005 1780 11 Complement Complement NNP A34005 1780 12 55d 55d CD A34005 1780 13 2 2 CD A34005 1780 14 ● ● . A34005 1780 15 Difference difference NN A34005 1780 16 17 17 CD A34005 1780 17 : : SYM A34005 1780 18 00 00 NFP A34005 1780 19 ☉ ☉ NNS A34005 1780 20 distance distance NN A34005 1780 21 from from IN A34005 1780 22 elevated elevated JJ A34005 1780 23 Pole Pole NNP A34005 1780 24 , , , A34005 1780 25 66 66 CD A34005 1780 26 : : : A34005 1780 27 29 29 CD A34005 1780 28 Operation operation NN A34005 1780 29 in in IN A34005 1780 30 the the DT A34005 1780 31 first first JJ A34005 1780 32 Terms term NNS A34005 1780 33 of of IN A34005 1780 34 the the DT A34005 1780 35 Proportion Proportion NNP A34005 1780 36 . . . A34005 1781 1 On on IN A34005 1781 2 the the DT A34005 1781 3 Line Line NNP A34005 1781 4 of of IN A34005 1781 5 Versed Versed NNP A34005 1781 6 Sines Sines NNPS A34005 1781 7 , , , A34005 1781 8 take take VB A34005 1781 9 the the DT A34005 1781 10 distance distance NN A34005 1781 11 between between IN A34005 1781 12 17d 17d NNS A34005 1781 13 , , , A34005 1781 14 and and CC A34005 1781 15 66d 66d CD A34005 1781 16 29′ 29′ CD A34005 1781 17 , , , A34005 1781 18 and and CC A34005 1781 19 entring entre VBG A34005 1781 20 it -PRON- PRP A34005 1781 21 twice twice RB A34005 1781 22 down down IN A34005 1781 23 the the DT A34005 1781 24 line line NN A34005 1781 25 of of IN A34005 1781 26 Sines Sines NNP A34005 1781 27 , , , A34005 1781 28 from from IN A34005 1781 29 the the DT A34005 1781 30 Center Center NNP A34005 1781 31 , , , A34005 1781 32 take take VB A34005 1781 33 the the DT A34005 1781 34 nearest near JJS A34005 1781 35 distance distance NN A34005 1781 36 to to IN A34005 1781 37 the the DT A34005 1781 38 thread thread NN A34005 1781 39 laid lay VBN A34005 1781 40 over over IN A34005 1781 41 the the DT A34005 1781 42 Secant Secant NNP A34005 1781 43 of of IN A34005 1781 44 51d 51d CD A34005 1781 45 32′ 32′ CD A34005 1781 46 , , , A34005 1781 47 the the DT A34005 1781 48 given give VBN A34005 1781 49 Altitude altitude NN A34005 1781 50 , , , A34005 1781 51 and and CC A34005 1781 52 entring entre VBG A34005 1781 53 one one CD A34005 1781 54 foot foot NN A34005 1781 55 of of IN A34005 1781 56 this this DT A34005 1781 57 Extent extent NN A34005 1781 58 at at IN A34005 1781 59 the the DT A34005 1781 60 Sine Sine NNP A34005 1781 61 of of IN A34005 1781 62 55d 55d CD A34005 1781 63 28′ 28′ CD A34005 1781 64 the the DT A34005 1781 65 Complement Complement NNP A34005 1781 66 of of IN A34005 1781 67 the the DT A34005 1781 68 Latitude Latitude NNP A34005 1781 69 , , , A34005 1781 70 lay lie VBD A34005 1781 71 the the DT A34005 1781 72 thred thre VBN A34005 1781 73 to to IN A34005 1781 74 the the DT A34005 1781 75 other other JJ A34005 1781 76 foot foot NN A34005 1781 77 , , , A34005 1781 78 according accord VBG A34005 1781 79 to to IN A34005 1781 80 nearest near JJS A34005 1781 81 distance distance NN A34005 1781 82 , , , A34005 1781 83 and and CC A34005 1781 84 in in IN A34005 1781 85 the the DT A34005 1781 86 line line NN A34005 1781 87 of of IN A34005 1781 88 Versed Versed NNP A34005 1781 89 Sines Sines NNPS A34005 1781 90 in in IN A34005 1781 91 the the DT A34005 1781 92 Limb Limb NNP A34005 1781 93 , , , A34005 1781 94 it -PRON- PRP A34005 1781 95 will will MD A34005 1781 96 lie lie VB A34005 1781 97 over over IN A34005 1781 98 95d 95d NNS A34005 1781 99 , , , A34005 1781 100 for for IN A34005 1781 101 the the DT A34005 1781 102 Suns Suns NNPS A34005 1781 103 Azimuth Azimuth NNP A34005 1781 104 from from IN A34005 1781 105 the the DT A34005 1781 106 midnight midnight NN A34005 1781 107 meridian meridian NN A34005 1781 108 . . . A34005 1782 1 And and CC A34005 1782 2 the the DT A34005 1782 3 Suns Suns NNP A34005 1782 4 declination declination NN A34005 1782 5 supposed suppose VBD A34005 1782 6 the the DT A34005 1782 7 same same JJ A34005 1782 8 , , , A34005 1782 9 he -PRON- PRP A34005 1782 10 shall shall MD A34005 1782 11 have have VB A34005 1782 12 the the DT A34005 1782 13 like like JJ A34005 1782 14 Azimuth Azimuth NNP A34005 1782 15 from from IN A34005 1782 16 the the DT A34005 1782 17 North North NNP A34005 1782 18 , , , A34005 1782 19 in in IN A34005 1782 20 our -PRON- PRP$ A34005 1782 21 Latitude Latitude NNP A34005 1782 22 of of IN A34005 1782 23 London London NNP A34005 1782 24 , , , A34005 1782 25 when when WRB A34005 1782 26 his -PRON- PRP$ A34005 1782 27 Altitude altitude NN A34005 1782 28 is be VBZ A34005 1782 29 34d 34d NNS A34005 1782 30 32′ 32′ CD A34005 1782 31 , , , A34005 1782 32 for for IN A34005 1782 33 the the DT A34005 1782 34 sides side NNS A34005 1782 35 of of IN A34005 1782 36 the the DT A34005 1782 37 Triangle Triangle NNP A34005 1782 38 are be VBP A34005 1782 39 the the DT A34005 1782 40 same same JJ A34005 1782 41 . . . A34005 1783 1 Another another DT A34005 1783 2 Example example NN A34005 1783 3 . . . A34005 1784 1 To to TO A34005 1784 2 find find VB A34005 1784 3 it -PRON- PRP A34005 1784 4 in in IN A34005 1784 5 the the DT A34005 1784 6 versed versed JJ A34005 1784 7 Sine Sine NNP A34005 1784 8 of of IN A34005 1784 9 90d 90d CD A34005 1784 10 Latitude Latitude NNP A34005 1784 11 — — : A34005 1784 12 47d 47d CD A34005 1784 13 27′ 27′ CD A34005 1784 14 Altitude altitude NN A34005 1784 15 — — : A34005 1784 16 51 51 CD A34005 1784 17 : : : A34005 1784 18 32 32 CD A34005 1784 19 Sum Sum NNP A34005 1784 20 — — : A34005 1784 21 98 98 CD A34005 1784 22 : : : A34005 1784 23 59 59 CD A34005 1784 24 Complement Complement NNP A34005 1784 25 — — : A34005 1784 26 81 81 CD A34005 1784 27 : : SYM A34005 1784 28 1 1 CD A34005 1784 29 Polar Polar NNP A34005 1784 30 distance distance NN A34005 1784 31 — — : A34005 1784 32 66 66 CD A34005 1784 33 : : : A34005 1784 34 29 29 CD A34005 1784 35 Take take VB A34005 1784 36 the the DT A34005 1784 37 distance distance NN A34005 1784 38 in in IN A34005 1784 39 the the DT A34005 1784 40 Line Line NNP A34005 1784 41 of of IN A34005 1784 42 Sines Sines NNPS A34005 1784 43 , , , A34005 1784 44 as as IN A34005 1784 45 representing represent VBG A34005 1784 46 the the DT A34005 1784 47 former former JJ A34005 1784 48 half half NN A34005 1784 49 of of IN A34005 1784 50 a a DT A34005 1784 51 Line Line NNP A34005 1784 52 of of IN A34005 1784 53 Versed versed JJ A34005 1784 54 Sines Sines NNPS A34005 1784 55 , , , A34005 1784 56 between between IN A34005 1784 57 these these DT A34005 1784 58 two two CD A34005 1784 59 Arks Arks NNP A34005 1784 60 counted count VBD A34005 1784 61 towards towards IN A34005 1784 62 the the DT A34005 1784 63 Center Center NNP A34005 1784 64 , , , A34005 1784 65 viz viz NN A34005 1784 66 . . . A34005 1785 1 66d 66d NNS A34005 1785 2 29′ 29′ CD A34005 1785 3 , , , A34005 1785 4 and and CC A34005 1785 5 81d 81d NNS A34005 1785 6 01′ 01′ NNP A34005 1785 7 , , , A34005 1785 8 and and CC A34005 1785 9 enter enter VB A34005 1785 10 this this DT A34005 1785 11 extent extent NN A34005 1785 12 twice twice RB A34005 1785 13 down down IN A34005 1785 14 the the DT A34005 1785 15 Line Line NNP A34005 1785 16 of of IN A34005 1785 17 Sines Sines NNPS A34005 1785 18 from from IN A34005 1785 19 the the DT A34005 1785 20 Center Center NNP A34005 1785 21 , , , A34005 1785 22 and and CC A34005 1785 23 take take VB A34005 1785 24 the the DT A34005 1785 25 nearest near JJS A34005 1785 26 distance distance NN A34005 1785 27 to to IN A34005 1785 28 the the DT A34005 1785 29 thred thre VBN A34005 1785 30 lying lie VBG A34005 1785 31 over over IN A34005 1785 32 the the DT A34005 1785 33 Secant Secant NNP A34005 1785 34 of of IN A34005 1785 35 the the DT A34005 1785 36 Latitude Latitude NNP A34005 1785 37 47d 47d CD A34005 1785 38 27′ 27′ CD A34005 1785 39 , , , A34005 1785 40 then then RB A34005 1785 41 enter enter VB A34005 1785 42 one one CD A34005 1785 43 foot foot NN A34005 1785 44 of of IN A34005 1785 45 this this DT A34005 1785 46 extent extent NN A34005 1785 47 at at IN A34005 1785 48 51d 51d NNS A34005 1785 49 32′ 32′ CD A34005 1785 50 counted count VBD A34005 1785 51 from from IN A34005 1785 52 the the DT A34005 1785 53 end end NN A34005 1785 54 of of IN A34005 1785 55 the the DT A34005 1785 56 Sines Sines NNPS A34005 1785 57 towards towards IN A34005 1785 58 the the DT A34005 1785 59 Center Center NNP A34005 1785 60 , , , A34005 1785 61 laying lay VBG A34005 1785 62 the the DT A34005 1785 63 thred thre VBN A34005 1785 64 to to IN A34005 1785 65 the the DT A34005 1785 66 other other JJ A34005 1785 67 foot foot NN A34005 1785 68 , , , A34005 1785 69 according accord VBG A34005 1785 70 to to IN A34005 1785 71 nearest near JJS A34005 1785 72 distance distance NN A34005 1785 73 , , , A34005 1785 74 and and CC A34005 1785 75 in in IN A34005 1785 76 the the DT A34005 1785 77 Versed Versed NNP A34005 1785 78 Sine Sine NNP A34005 1785 79 of of IN A34005 1785 80 90d 90d CD A34005 1785 81 , , , A34005 1785 82 it -PRON- PRP A34005 1785 83 shews shew VBZ A34005 1785 84 the the DT A34005 1785 85 Azimuth Azimuth NNP A34005 1785 86 to to TO A34005 1785 87 be be VB A34005 1785 88 65d 65d NNS A34005 1785 89 from from IN A34005 1785 90 the the DT A34005 1785 91 South South NNP A34005 1785 92 in in IN A34005 1785 93 this this DT A34005 1785 94 our -PRON- PRP$ A34005 1785 95 Northern Northern NNP A34005 1785 96 Hemispere Hemispere NNP A34005 1785 97 . . . A34005 1786 1 Of of IN A34005 1786 2 the the DT A34005 1786 3 fitted fitted JJ A34005 1786 4 Particular Particular NNP A34005 1786 5 Scale Scale NNP A34005 1786 6 , , , A34005 1786 7 and and CC A34005 1786 8 the the DT A34005 1786 9 Line Line NNP A34005 1786 10 of of IN A34005 1786 11 Entrance entrance NN A34005 1786 12 thereto thereto NN A34005 1786 13 belonging belong VBG A34005 1786 14 . . . A34005 1787 1 THis this DT A34005 1787 2 Scale scale NN A34005 1787 3 serves serve VBZ A34005 1787 4 to to TO A34005 1787 5 find find VB A34005 1787 6 both both CC A34005 1787 7 the the DT A34005 1787 8 Hour Hour NNP A34005 1787 9 and and CC A34005 1787 10 Azimuth Azimuth NNP A34005 1787 11 in in IN A34005 1787 12 the the DT A34005 1787 13 Latitude Latitude NNP A34005 1787 14 of of IN A34005 1787 15 London London NNP A34005 1787 16 , , , A34005 1787 17 to to TO A34005 1787 18 which which WDT A34005 1787 19 it -PRON- PRP A34005 1787 20 is be VBZ A34005 1787 21 fitted fit VBN A34005 1787 22 , , , A34005 1787 23 in in IN A34005 1787 24 the the DT A34005 1787 25 equal equal JJ A34005 1787 26 Limb Limb NNP A34005 1787 27 , , , A34005 1787 28 by by IN A34005 1787 29 a a DT A34005 1787 30 Lateral lateral JJ A34005 1787 31 or or CC A34005 1787 32 positive positive JJ A34005 1787 33 Entrance entrance NN A34005 1787 34 , , , A34005 1787 35 it -PRON- PRP A34005 1787 36 consists consist VBZ A34005 1787 37 of of IN A34005 1787 38 two two CD A34005 1787 39 Lines line NNS A34005 1787 40 of of IN A34005 1787 41 Sines Sines NNPS A34005 1787 42 . . . A34005 1788 1 The the DT A34005 1788 2 greater great JJR A34005 1788 3 is be VBZ A34005 1788 4 62d 62d NNS A34005 1788 5 of of IN A34005 1788 6 a a DT A34005 1788 7 Sine Sine NNP A34005 1788 8 , , , A34005 1788 9 as as RB A34005 1788 10 large large JJ A34005 1788 11 as as IN A34005 1788 12 can can MD A34005 1788 13 stand stand VB A34005 1788 14 upon upon IN A34005 1788 15 the the DT A34005 1788 16 Quadrant Quadrant NNP A34005 1788 17 , , , A34005 1788 18 the the DT A34005 1788 19 Radius Radius NNP A34005 1788 20 of of IN A34005 1788 21 the the DT A34005 1788 22 lesser less JJR A34005 1788 23 Sine Sine NNP A34005 1788 24 is be VBZ A34005 1788 25 made make VBN A34005 1788 26 equal equal JJ A34005 1788 27 to to IN A34005 1788 28 51d 51d NNS A34005 1788 29 32′ 32′ CD A34005 1788 30 of of IN A34005 1788 31 this this DT A34005 1788 32 greater great JJR A34005 1788 33 , , , A34005 1788 34 being be VBG A34005 1788 35 fitted fit VBN A34005 1788 36 to to IN A34005 1788 37 the the DT A34005 1788 38 Latitude Latitude NNP A34005 1788 39 : : : A34005 1788 40 The the DT A34005 1788 41 Scale Scale NNP A34005 1788 42 of of IN A34005 1788 43 Entrance entrance NN A34005 1788 44 standing stand VBG A34005 1788 45 within within IN A34005 1788 46 the the DT A34005 1788 47 Projection Projection NNP A34005 1788 48 , , , A34005 1788 49 and and CC A34005 1788 50 abutting abut VBG A34005 1788 51 on on IN A34005 1788 52 the the DT A34005 1788 53 Line Line NNP A34005 1788 54 of of IN A34005 1788 55 Sines Sines NNP A34005 1788 56 , , , A34005 1788 57 is be VBZ A34005 1788 58 no no DT A34005 1788 59 other other JJ A34005 1788 60 but but CC A34005 1788 61 a a DT A34005 1788 62 portion portion NN A34005 1788 63 of of IN A34005 1788 64 a a DT A34005 1788 65 Line Line NNP A34005 1788 66 of of IN A34005 1788 67 Sines Sines NNP A34005 1788 68 , , , A34005 1788 69 whose whose WP$ A34005 1788 70 Radius Radius NNP A34005 1788 71 is be VBZ A34005 1788 72 made make VBN A34005 1788 73 equal equal JJ A34005 1788 74 to to IN A34005 1788 75 38d 38d NNS A34005 1788 76 28′ 28′ CD A34005 1788 77 of of IN A34005 1788 78 the the DT A34005 1788 79 greater great JJR A34005 1788 80 Sine Sine NNP A34005 1788 81 of of IN A34005 1788 82 the the DT A34005 1788 83 fitted fitted JJ A34005 1788 84 Scale Scale NNP A34005 1788 85 ; ; : A34005 1788 86 and and CC A34005 1788 87 this this DT A34005 1788 88 Scale Scale NNP A34005 1788 89 of of IN A34005 1788 90 Entrance entrance NN A34005 1788 91 is be VBZ A34005 1788 92 numbred numbre VBN A34005 1788 93 by by IN A34005 1788 94 its -PRON- PRP$ A34005 1788 95 Complements complement NNS A34005 1788 96 up up IN A34005 1788 97 to to IN A34005 1788 98 62d 62d NNS A34005 1788 99 , , , A34005 1788 100 as as RB A34005 1788 101 much much RB A34005 1788 102 as as IN A34005 1788 103 is be VBZ A34005 1788 104 the the DT A34005 1788 105 Suns Suns NNPS A34005 1788 106 - - HYPH A34005 1788 107 greatest great JJS A34005 1788 108 meridian meridian JJ A34005 1788 109 Altitude Altitude NNP A34005 1788 110 in in IN A34005 1788 111 this this DT A34005 1788 112 Latitude Latitude NNP A34005 1788 113 . . . A34005 1789 1 The the DT A34005 1789 2 ground ground NN A34005 1789 3 of of IN A34005 1789 4 this this DT A34005 1789 5 Scale Scale NNP A34005 1789 6 is be VBZ A34005 1789 7 derived derive VBN A34005 1789 8 from from IN A34005 1789 9 the the DT A34005 1789 10 Diagonal Diagonal NNP A34005 1789 11 Scale Scale NNP A34005 1789 12 , , , A34005 1789 13 the the DT A34005 1789 14 length length NN A34005 1789 15 whereof whereof NN A34005 1789 16 bears bear VBZ A34005 1789 17 such such JJ A34005 1789 18 Proportion proportion NN A34005 1789 19 to to IN A34005 1789 20 the the DT A34005 1789 21 Line Line NNP A34005 1789 22 of of IN A34005 1789 23 Sines Sines NNPS A34005 1789 24 whereto whereto VBP A34005 1789 25 it -PRON- PRP A34005 1789 26 is be VBZ A34005 1789 27 fitted fit VBN A34005 1789 28 , , , A34005 1789 29 as as IN A34005 1789 30 the the DT A34005 1789 31 Secant secant NN A34005 1789 32 of of IN A34005 1789 33 the the DT A34005 1789 34 particular particular JJ A34005 1789 35 Latitude Latitude NNP A34005 1789 36 doth doth NN A34005 1789 37 to to IN A34005 1789 38 the the DT A34005 1789 39 Radius Radius NNP A34005 1789 40 , , , A34005 1789 41 which which WDT A34005 1789 42 is be VBZ A34005 1789 43 the the DT A34005 1789 44 same same JJ A34005 1789 45 that that IN A34005 1789 46 the the DT A34005 1789 47 Radius Radius NNP A34005 1789 48 bears bear VBZ A34005 1789 49 to to IN A34005 1789 50 the the DT A34005 1789 51 Cosine Cosine NNP A34005 1789 52 of of IN A34005 1789 53 the the DT A34005 1789 54 Latitude Latitude NNP A34005 1789 55 , , , A34005 1789 56 and and CC A34005 1789 57 consequently consequently RB A34005 1789 58 , , , A34005 1789 59 making make VBG A34005 1789 60 the the DT A34005 1789 61 Line Line NNP A34005 1789 62 of of IN A34005 1789 63 Sines Sines NNPS A34005 1789 64 to to TO A34005 1789 65 represent represent VB A34005 1789 66 the the DT A34005 1789 67 fitted fitted JJ A34005 1789 68 Scale Scale NNP A34005 1789 69 , , , A34005 1789 70 the the DT A34005 1789 71 Radius Radius NNP A34005 1789 72 of of IN A34005 1789 73 that that DT A34005 1789 74 Sine Sine NNP A34005 1789 75 whereto whereto NN A34005 1789 76 it -PRON- PRP A34005 1789 77 is be VBZ A34005 1789 78 fitted fit VBN A34005 1789 79 , , , A34005 1789 80 must must MD A34005 1789 81 be be VB A34005 1789 82 equal equal JJ A34005 1789 83 to to IN A34005 1789 84 the the DT A34005 1789 85 Cosine Cosine NNP A34005 1789 86 of of IN A34005 1789 87 the the DT A34005 1789 88 Latitude Latitude NNP A34005 1789 89 : : : A34005 1789 90 and and CC A34005 1789 91 so so RB A34005 1789 92 we -PRON- PRP A34005 1789 93 needed need VBD A34005 1789 94 no no DT A34005 1789 95 particular particular JJ A34005 1789 96 Scale scale NN A34005 1789 97 , , , A34005 1789 98 but but CC A34005 1789 99 this this DT A34005 1789 100 would would MD A34005 1789 101 remove remove VB A34005 1789 102 the the DT A34005 1789 103 particular particular JJ A34005 1789 104 Scale scale NN A34005 1789 105 , , , A34005 1789 106 or or CC A34005 1789 107 Scale Scale NNP A34005 1789 108 of of IN A34005 1789 109 Entrance entrance NN A34005 1789 110 , , , A34005 1789 111 nearer nearer VB A34005 1789 112 the the DT A34005 1789 113 Center Center NNP A34005 1789 114 , , , A34005 1789 115 and and CC A34005 1789 116 would would MD A34005 1789 117 not not RB A34005 1789 118 have have VB A34005 1789 119 been be VBN A34005 1789 120 so so RB A34005 1789 121 ready ready JJ A34005 1789 122 as as IN A34005 1789 123 this this DT A34005 1789 124 fitted fitted JJ A34005 1789 125 Scale Scale NNP A34005 1789 126 ; ; : A34005 1789 127 however however RB A34005 1789 128 , , , A34005 1789 129 hence hence RB A34005 1789 130 I -PRON- PRP A34005 1789 131 might may MD A34005 1789 132 educe educe VB A34005 1789 133 a a DT A34005 1789 134 general general JJ A34005 1789 135 method method NN A34005 1789 136 for for IN A34005 1789 137 finding find VBG A34005 1789 138 the the DT A34005 1789 139 hour hour NN A34005 1789 140 and and CC A34005 1789 141 Azimuth Azimuth NNP A34005 1789 142 in in IN A34005 1789 143 the the DT A34005 1789 144 Limb Limb NNP A34005 1789 145 , , , A34005 1789 146 without without IN A34005 1789 147 Tangents Tangents NNP A34005 1789 148 or or CC A34005 1789 149 Secants Secants NNPS A34005 1789 150 . . . A34005 1790 1 The the DT A34005 1790 2 first first JJ A34005 1790 3 Work work NN A34005 1790 4 would would MD A34005 1790 5 be be VB A34005 1790 6 to to TO A34005 1790 7 proportion proportion VB A34005 1790 8 out out RP A34005 1790 9 a a DT A34005 1790 10 Sine Sine NNP A34005 1790 11 to to IN A34005 1790 12 a a DT A34005 1790 13 lesser less JJR A34005 1790 14 Radius Radius NNP A34005 1790 15 , , , A34005 1790 16 which which WDT A34005 1790 17 would would MD A34005 1790 18 find find VB A34005 1790 19 the the DT A34005 1790 20 point point NN A34005 1790 21 of of IN A34005 1790 22 Entrance entrance NN A34005 1790 23 , , , A34005 1790 24 the the DT A34005 1790 25 next next JJ A34005 1790 26 would would MD A34005 1790 27 be be VB A34005 1790 28 to to TO A34005 1790 29 finde finde VB A34005 1790 30 the the DT A34005 1790 31 Altitude altitude NN A34005 1790 32 , , , A34005 1790 33 or or CC A34005 1790 34 Depression Depression NNP A34005 1790 35 , , , A34005 1790 36 at at IN A34005 1790 37 6 6 CD A34005 1790 38 . . . A34005 1790 39 the the DT A34005 1790 40 third third JJ A34005 1790 41 would would MD A34005 1790 42 be be VB A34005 1790 43 to to TO A34005 1790 44 enter enter VB A34005 1790 45 the the DT A34005 1790 46 sum sum NN A34005 1790 47 , , , A34005 1790 48 or or CC A34005 1790 49 difference difference NN A34005 1790 50 of of IN A34005 1790 51 the the DT A34005 1790 52 Sines Sines NNPS A34005 1790 53 of of IN A34005 1790 54 the the DT A34005 1790 55 Altitude altitude NN A34005 1790 56 , , , A34005 1790 57 or or CC A34005 1790 58 depression depression NN A34005 1790 59 at at IN A34005 1790 60 6 6 CD A34005 1790 61 at at IN A34005 1790 62 the the DT A34005 1790 63 point point NN A34005 1790 64 of of IN A34005 1790 65 Entrance entrance NN A34005 1790 66 , , , A34005 1790 67 and and CC A34005 1790 68 to to TO A34005 1790 69 lay lay VB A34005 1790 70 the the DT A34005 1790 71 thred thre VBN A34005 1790 72 to to IN A34005 1790 73 the the DT A34005 1790 74 other other JJ A34005 1790 75 foot foot NN A34005 1790 76 ; ; : A34005 1790 77 but but CC A34005 1790 78 I -PRON- PRP A34005 1790 79 shall shall MD A34005 1790 80 demonstrate demonstrate VB A34005 1790 81 it -PRON- PRP A34005 1790 82 from from IN A34005 1790 83 other other JJ A34005 1790 84 grounds ground NNS A34005 1790 85 . . . A34005 1791 1 1 1 LS A34005 1791 2 . . . A34005 1792 1 To to TO A34005 1792 2 find find VB A34005 1792 3 the the DT A34005 1792 4 time time NN A34005 1792 5 of of IN A34005 1792 6 Sun Sun NNP A34005 1792 7 Rising Rising NNP A34005 1792 8 , , , A34005 1792 9 or or CC A34005 1792 10 Setting set VBG A34005 1792 11 . . . A34005 1793 1 Take take VB A34005 1793 2 the the DT A34005 1793 3 Declination declination NN A34005 1793 4 from from IN A34005 1793 5 the the DT A34005 1793 6 lesser less JJR A34005 1793 7 Sine Sine NNP A34005 1793 8 , , , A34005 1793 9 and and CC A34005 1793 10 enter enter VB A34005 1793 11 it -PRON- PRP A34005 1793 12 at at IN A34005 1793 13 the the DT A34005 1793 14 Declination declination NN A34005 1793 15 in in IN A34005 1793 16 the the DT A34005 1793 17 Scale Scale NNP A34005 1793 18 of of IN A34005 1793 19 Entrance Entrance NNP A34005 1793 20 , , , A34005 1793 21 laying lay VBG A34005 1793 22 the the DT A34005 1793 23 thred thre VBN A34005 1793 24 to to IN A34005 1793 25 the the DT A34005 1793 26 other other JJ A34005 1793 27 foot foot NN A34005 1793 28 , , , A34005 1793 29 according accord VBG A34005 1793 30 to to IN A34005 1793 31 nearest near JJS A34005 1793 32 distance distance NN A34005 1793 33 , , , A34005 1793 34 and and CC A34005 1793 35 it -PRON- PRP A34005 1793 36 shews shew VBZ A34005 1793 37 the the DT A34005 1793 38 time time NN A34005 1793 39 of of IN A34005 1793 40 Rising rise VBG A34005 1793 41 or or CC A34005 1793 42 setting set VBG A34005 1793 43 in in RP A34005 1793 44 the the DT A34005 1793 45 equal equal JJ A34005 1793 46 Limb Limb NNP A34005 1793 47 . . . A34005 1794 1 So so RB A34005 1794 2 when when WRB A34005 1794 3 the the DT A34005 1794 4 Sun Sun NNP A34005 1794 5 hath hath NNP A34005 1794 6 13d 13d NNS A34005 1794 7 of of IN A34005 1794 8 South South NNP A34005 1794 9 Declination Declination NNP A34005 1794 10 , , , A34005 1794 11 he -PRON- PRP A34005 1794 12 riseth riseth VBZ A34005 1794 13 at at IN A34005 1794 14 8′ 8′ CD A34005 1794 15 past past IN A34005 1794 16 7 7 CD A34005 1794 17 in in IN A34005 1794 18 the the DT A34005 1794 19 morning morning NN A34005 1794 20 f f NN A34005 1794 21 ● ● NFP A34005 1794 22 re re IN A34005 1794 23 , , , A34005 1794 24 and and CC A34005 1794 25 sets set NNS A34005 1794 26 at at IN A34005 1794 27 52′ 52′ CD A34005 1794 28 past past IN A34005 1794 29 4 4 CD A34005 1794 30 in in IN A34005 1794 31 the the DT A34005 1794 32 afternoon afternoon NN A34005 1794 33 . . . A34005 1795 1 2 2 LS A34005 1795 2 . . . A34005 1796 1 To to TO A34005 1796 2 find find VB A34005 1796 3 the the DT A34005 1796 4 true true JJ A34005 1796 5 time time NN A34005 1796 6 of of IN A34005 1796 7 the the DT A34005 1796 8 day day NN A34005 1796 9 . . . A34005 1797 1 In in IN A34005 1797 2 Summer summer NN A34005 1797 3 , , , A34005 1797 4 or or CC A34005 1797 5 Northwardly Northwardly NNP A34005 1797 6 Declination Declination NNP A34005 1797 7 , , , A34005 1797 8 take take VB A34005 1797 9 the the DT A34005 1797 10 distance distance NN A34005 1797 11 between between IN A34005 1797 12 the the DT A34005 1797 13 Altitude Altitude NNP A34005 1797 14 in in IN A34005 1797 15 the the DT A34005 1797 16 greater great JJR A34005 1797 17 Sine Sine NNP A34005 1797 18 , , , A34005 1797 19 and and CC A34005 1797 20 the the DT A34005 1797 21 Declination declination NN A34005 1797 22 in in IN A34005 1797 23 the the DT A34005 1797 24 lesser less JJR A34005 1797 25 Sine Sine NNP A34005 1797 26 . . . A34005 1798 1 In in IN A34005 1798 2 Winter Winter NNP A34005 1798 3 , , , A34005 1798 4 take take VB A34005 1798 5 the the DT A34005 1798 6 Declination declination NN A34005 1798 7 in in IN A34005 1798 8 the the DT A34005 1798 9 lesser less JJR A34005 1798 10 Sine Sine NNP A34005 1798 11 , , , A34005 1798 12 and and CC A34005 1798 13 with with IN A34005 1798 14 your -PRON- PRP$ A34005 1798 15 Compasses compass NNS A34005 1798 16 add add VB A34005 1798 17 it -PRON- PRP A34005 1798 18 to to IN A34005 1798 19 the the DT A34005 1798 20 Altitude altitude NN A34005 1798 21 in in IN A34005 1798 22 the the DT A34005 1798 23 greater great JJR A34005 1798 24 Sine Sine NNP A34005 1798 25 . . . A34005 1799 1 These these DT A34005 1799 2 extents extent NNS A34005 1799 3 enter enter VBP A34005 1799 4 at at IN A34005 1799 5 the the DT A34005 1799 6 Declination declination NN A34005 1799 7 in in IN A34005 1799 8 the the DT A34005 1799 9 Scale Scale NNP A34005 1799 10 of of IN A34005 1799 11 Entrance entrance NN A34005 1799 12 , , , A34005 1799 13 and and CC A34005 1799 14 lay lie VBD A34005 1799 15 the the DT A34005 1799 16 thred thre VBN A34005 1799 17 to to IN A34005 1799 18 the the DT A34005 1799 19 other other JJ A34005 1799 20 foot foot NN A34005 1799 21 , , , A34005 1799 22 according accord VBG A34005 1799 23 to to IN A34005 1799 24 nearest near JJS A34005 1799 25 distance distance NN A34005 1799 26 , , , A34005 1799 27 and and CC A34005 1799 28 in in IN A34005 1799 29 the the DT A34005 1799 30 equal equal JJ A34005 1799 31 Limb Limb NNP A34005 1799 32 , , , A34005 1799 33 it -PRON- PRP A34005 1799 34 will will MD A34005 1799 35 lye lye VB A34005 1799 36 over over IN A34005 1799 37 the the DT A34005 1799 38 true true JJ A34005 1799 39 time time NN A34005 1799 40 of of IN A34005 1799 41 the the DT A34005 1799 42 day day NN A34005 1799 43 . . . A34005 1800 1 In in IN A34005 1800 2 Summer Summer NNP A34005 1800 3 , , , A34005 1800 4 when when WRB A34005 1800 5 the the DT A34005 1800 6 Declination declination NN A34005 1800 7 in in IN A34005 1800 8 the the DT A34005 1800 9 fitted fitted JJ A34005 1800 10 Scale Scale NNP A34005 1800 11 is be VBZ A34005 1800 12 above above IN A34005 1800 13 the the DT A34005 1800 14 Altitude Altitude NNP A34005 1800 15 , , , A34005 1800 16 the the DT A34005 1800 17 hour hour NN A34005 1800 18 is be VBZ A34005 1800 19 found find VBN A34005 1800 20 from from IN A34005 1800 21 6 6 CD A34005 1800 22 towards towards IN A34005 1800 23 midnight midnight NN A34005 1800 24 , , , A34005 1800 25 when when WRB A34005 1800 26 below below IN A34005 1800 27 it -PRON- PRP A34005 1800 28 , , , A34005 1800 29 towards towards IN A34005 1800 30 Noon Noon NNP A34005 1800 31 . . . A34005 1801 1 Example example NN A34005 1801 2 . . . A34005 1802 1 When when WRB A34005 1802 2 the the DT A34005 1802 3 Sun Sun NNP A34005 1802 4 hath hath NN A34005 1802 5 13d 13d NNS A34005 1802 6 of of IN A34005 1802 7 North North NNP A34005 1802 8 Declination Declination NNP A34005 1802 9 , , , A34005 1802 10 his -PRON- PRP$ A34005 1802 11 Altitude altitude NN A34005 1802 12 being be VBG A34005 1802 13 39d 39d CD A34005 1802 14 10′ 10′ CD A34005 1802 15 will will MD A34005 1802 16 be be VB A34005 1802 17 a a DT A34005 1802 18 quarter quarter NN A34005 1802 19 past past IN A34005 1802 20 9 9 CD A34005 1802 21 in in IN A34005 1802 22 the the DT A34005 1802 23 morning morning NN A34005 1802 24 , , , A34005 1802 25 or or CC A34005 1802 26 3 3 CD A34005 1802 27 quarters quarter NNS A34005 1802 28 past past IN A34005 1802 29 2 2 CD A34005 1802 30 in in IN A34005 1802 31 the the DT A34005 1802 32 afternoon afternoon NN A34005 1802 33 ; ; : A34005 1802 34 and and CC A34005 1802 35 when when WRB A34005 1802 36 he -PRON- PRP A34005 1802 37 hath hath VBP A34005 1802 38 the the DT A34005 1802 39 same same JJ A34005 1802 40 South South NNP A34005 1802 41 Declination Declination NNP A34005 1802 42 , , , A34005 1802 43 his -PRON- PRP$ A34005 1802 44 Altitude altitude NN A34005 1802 45 being be VBG A34005 1802 46 16d 16d CD A34005 1802 47 14′ 14′ CD A34005 1802 48 the the DT A34005 1802 49 time time NN A34005 1802 50 of of IN A34005 1802 51 the the DT A34005 1802 52 day day NN A34005 1802 53 will will MD A34005 1802 54 be be VB A34005 1802 55 found find VBN A34005 1802 56 the the DT A34005 1802 57 same same JJ A34005 1802 58 . . . A34005 1803 1 The the DT A34005 1803 2 Converse Converse NNP A34005 1803 3 will will MD A34005 1803 4 find find VB A34005 1803 5 the the DT A34005 1803 6 Suns Suns NNPS A34005 1803 7 Altitudes Altitudes NNPS A34005 1803 8 on on IN A34005 1803 9 all all DT A34005 1803 10 hours hour NNS A34005 1803 11 by by IN A34005 1803 12 this this DT A34005 1803 13 fitted fitted JJ A34005 1803 14 Scale Scale NNP A34005 1803 15 , , , A34005 1803 16 which which WDT A34005 1803 17 I -PRON- PRP A34005 1803 18 shall shall MD A34005 1803 19 handle handle VB A34005 1803 20 the the DT A34005 1803 21 general general JJ A34005 1803 22 way way NN A34005 1803 23 . . . A34005 1804 1 3 3 LS A34005 1804 2 . . . A34005 1805 1 To to TO A34005 1805 2 find find VB A34005 1805 3 the the DT A34005 1805 4 Amplitude Amplitude NNP A34005 1805 5 . . . A34005 1806 1 Take take VB A34005 1806 2 the the DT A34005 1806 3 Declination declination NN A34005 1806 4 from from IN A34005 1806 5 the the DT A34005 1806 6 greater great JJR A34005 1806 7 Sine Sine NNP A34005 1806 8 , , , A34005 1806 9 and and CC A34005 1806 10 enter enter VB A34005 1806 11 it -PRON- PRP A34005 1806 12 at at IN A34005 1806 13 the the DT A34005 1806 14 beginning beginning NN A34005 1806 15 of of IN A34005 1806 16 the the DT A34005 1806 17 Scale Scale NNP A34005 1806 18 of of IN A34005 1806 19 Entrance Entrance NNP A34005 1806 20 , , , A34005 1806 21 laying lay VBG A34005 1806 22 the the DT A34005 1806 23 thred thre VBN A34005 1806 24 to to IN A34005 1806 25 the the DT A34005 1806 26 other other JJ A34005 1806 27 foot foot NN A34005 1806 28 , , , A34005 1806 29 according accord VBG A34005 1806 30 to to IN A34005 1806 31 nearest near JJS A34005 1806 32 distance distance NN A34005 1806 33 , , , A34005 1806 34 and and CC A34005 1806 35 it -PRON- PRP A34005 1806 36 shews shew VBZ A34005 1806 37 it -PRON- PRP A34005 1806 38 in in IN A34005 1806 39 the the DT A34005 1806 40 Limb Limb NNP A34005 1806 41 . . . A34005 1807 1 When when WRB A34005 1807 2 the the DT A34005 1807 3 Sun Sun NNP A34005 1807 4 hath hath NNP A34005 1807 5 13d 13d NNPS A34005 1807 6 of of IN A34005 1807 7 Declination Declination NNP A34005 1807 8 , , , A34005 1807 9 his -PRON- PRP$ A34005 1807 10 Amplitude Amplitude NNP A34005 1807 11 will will MD A34005 1807 12 be be VB A34005 1807 13 21d 21d CD A34005 1807 14 12′ 12′ CD A34005 1807 15 . . . A34005 1808 1 4 4 LS A34005 1808 2 . . . A34005 1809 1 To to TO A34005 1809 2 find find VB A34005 1809 3 the the DT A34005 1809 4 Azimuth Azimuth NNP A34005 1809 5 of of IN A34005 1809 6 the the DT A34005 1809 7 Sun Sun NNP A34005 1809 8 . . . A34005 1810 1 In in IN A34005 1810 2 Summer summer NN A34005 1810 3 ▪ ▪ NN A34005 1810 4 take take VBP A34005 1810 5 the the DT A34005 1810 6 distance distance NN A34005 1810 7 between between IN A34005 1810 8 the the DT A34005 1810 9 Altitude altitude NN A34005 1810 10 in in IN A34005 1810 11 the the DT A34005 1810 12 lesser less JJR A34005 1810 13 Sine Sine NNP A34005 1810 14 , , , A34005 1810 15 and and CC A34005 1810 16 the the DT A34005 1810 17 Declination declination NN A34005 1810 18 in in IN A34005 1810 19 the the DT A34005 1810 20 greater great JJR A34005 1810 21 . . . A34005 1811 1 In in IN A34005 1811 2 Winter Winter NNP A34005 1811 3 , , , A34005 1811 4 or or CC A34005 1811 5 South South NNP A34005 1811 6 Declinations Declinations NNPS A34005 1811 7 , , , A34005 1811 8 take take VB A34005 1811 9 the the DT A34005 1811 10 Declination declination NN A34005 1811 11 from from IN A34005 1811 12 the the DT A34005 1811 13 greater great JJR A34005 1811 14 Sine Sine NNP A34005 1811 15 , , , A34005 1811 16 and and CC A34005 1811 17 add add VB A34005 1811 18 it -PRON- PRP A34005 1811 19 to to IN A34005 1811 20 the the DT A34005 1811 21 Altitude altitude NN A34005 1811 22 in in IN A34005 1811 23 the the DT A34005 1811 24 lesser less JJR A34005 1811 25 Sine Sine NNP A34005 1811 26 with with IN A34005 1811 27 your -PRON- PRP$ A34005 1811 28 Compasses compass NNS A34005 1811 29 . . . A34005 1812 1 These these DT A34005 1812 2 Extents extent NNS A34005 1812 3 , , , A34005 1812 4 enter enter VBP A34005 1812 5 at at IN A34005 1812 6 the the DT A34005 1812 7 Altitude altitude NN A34005 1812 8 in in IN A34005 1812 9 the the DT A34005 1812 10 Scale Scale NNP A34005 1812 11 of of IN A34005 1812 12 Entrance entrance NN A34005 1812 13 , , , A34005 1812 14 and and CC A34005 1812 15 lay lie VBD A34005 1812 16 the the DT A34005 1812 17 thred thre VBN A34005 1812 18 to to IN A34005 1812 19 the the DT A34005 1812 20 other other JJ A34005 1812 21 foot foot NN A34005 1812 22 , , , A34005 1812 23 according accord VBG A34005 1812 24 to to IN A34005 1812 25 nearest near JJS A34005 1812 26 distance distance NN A34005 1812 27 ; ; : A34005 1812 28 and and CC A34005 1812 29 in in IN A34005 1812 30 the the DT A34005 1812 31 equal equal JJ A34005 1812 32 Limb Limb NNP A34005 1812 33 , , , A34005 1812 34 it -PRON- PRP A34005 1812 35 shews shew VBZ A34005 1812 36 the the DT A34005 1812 37 Azimuth Azimuth NNP A34005 1812 38 from from IN A34005 1812 39 the the DT A34005 1812 40 East East NNP A34005 1812 41 or or CC A34005 1812 42 West West NNP A34005 1812 43 . . . A34005 1813 1 In in IN A34005 1813 2 Summer Summer NNP A34005 1813 3 , , , A34005 1813 4 when when WRB A34005 1813 5 the the DT A34005 1813 6 Altitude altitude NN A34005 1813 7 falls fall VBZ A34005 1813 8 below below IN A34005 1813 9 the the DT A34005 1813 10 Declination Declination NNP A34005 1813 11 , , , A34005 1813 12 the the DT A34005 1813 13 Azimuth Azimuth NNP A34005 1813 14 is be VBZ A34005 1813 15 found find VBN A34005 1813 16 from from IN A34005 1813 17 the the DT A34005 1813 18 East East NNP A34005 1813 19 or or CC A34005 1813 20 West West NNP A34005 1813 21 , , , A34005 1813 22 Northwards Northwards NNPS A34005 1813 23 ; ; : A34005 1813 24 when when WRB A34005 1813 25 above above IN A34005 1813 26 it -PRON- PRP A34005 1813 27 , , , A34005 1813 28 Southwards Southwards NNP A34005 1813 29 . . . A34005 1814 1 So so RB A34005 1814 2 when when WRB A34005 1814 3 the the DT A34005 1814 4 Sun Sun NNP A34005 1814 5 hath hath NN A34005 1814 6 13d 13d NNS A34005 1814 7 of of IN A34005 1814 8 North North NNP A34005 1814 9 Declination Declination NNP A34005 1814 10 , , , A34005 1814 11 his -PRON- PRP$ A34005 1814 12 Altitude altitude NN A34005 1814 13 being be VBG A34005 1814 14 43d 43d NNS A34005 1814 15 50′ 50′ CD A34005 1814 16 the the DT A34005 1814 17 Azimuth Azimuth NNP A34005 1814 18 will will MD A34005 1814 19 be be VB A34005 1814 20 found find VBN A34005 1814 21 to to TO A34005 1814 22 be be VB A34005 1814 23 45d 45d NNS A34005 1814 24 from from IN A34005 1814 25 East East NNP A34005 1814 26 or or CC A34005 1814 27 West West NNP A34005 1814 28 , , , A34005 1814 29 Southwards Southwards NNP A34005 1814 30 ; ; : A34005 1814 31 and and CC A34005 1814 32 when when WRB A34005 1814 33 he -PRON- PRP A34005 1814 34 hath hath VBP A34005 1814 35 the the DT A34005 1814 36 same same JJ A34005 1814 37 South South NNP A34005 1814 38 Declination Declination NNP A34005 1814 39 , , , A34005 1814 40 his -PRON- PRP$ A34005 1814 41 Altitude altitude NN A34005 1814 42 being be VBG A34005 1814 43 14d 14d NNS A34005 1814 44 50′ 50′ CD A34005 1814 45 he -PRON- PRP A34005 1814 46 shall shall MD A34005 1814 47 have have VB A34005 1814 48 the the DT A34005 1814 49 same same JJ A34005 1814 50 Azimuth Azimuth NNP A34005 1814 51 . . . A34005 1815 1 These these DT A34005 1815 2 Scales scale NNS A34005 1815 3 are be VBP A34005 1815 4 fitted fit VBN A34005 1815 5 to to TO A34005 1815 6 give give VB A34005 1815 7 the the DT A34005 1815 8 Altitude altitude NN A34005 1815 9 at at IN A34005 1815 10 six six CD A34005 1815 11 , , , A34005 1815 12 and and CC A34005 1815 13 the the DT A34005 1815 14 Vertical Vertical NNP A34005 1815 15 Altitude Altitude NNP A34005 1815 16 by by IN A34005 1815 17 Inspection Inspection NNP A34005 1815 18 . . . A34005 1816 1 Against against IN A34005 1816 2 the the DT A34005 1816 3 Declination Declination NNP A34005 1816 4 in in IN A34005 1816 5 the the DT A34005 1816 6 greater great JJR A34005 1816 7 lesser less JJR A34005 1816 8 Sine Sine NNP A34005 1816 9 stands stand VBZ A34005 1816 10 the the DT A34005 1816 11 Vertical Vertical NNP A34005 1816 12 Altitude Altitude NNP A34005 1816 13 or or CC A34005 1816 14 Depression Depression NNP A34005 1816 15 , , , A34005 1816 16 Altitude Altitude NNP A34005 1816 17 or or CC A34005 1816 18 Depression depression NN A34005 1816 19 at at IN A34005 1816 20 six six CD A34005 1816 21 . . . A34005 1817 1 When when WRB A34005 1817 2 the the DT A34005 1817 3 Hour Hour NNP A34005 1817 4 or or CC A34005 1817 5 Azimuth Azimuth NNP A34005 1817 6 falls fall VBZ A34005 1817 7 near near IN A34005 1817 8 Noon Noon NNP A34005 1817 9 , , , A34005 1817 10 mind mind NN A34005 1817 11 against against IN A34005 1817 12 what what WP A34005 1817 13 Arch Arch NNP A34005 1817 14 of of IN A34005 1817 15 the the DT A34005 1817 16 Line Line NNP A34005 1817 17 of of IN A34005 1817 18 Sines sin VBZ A34005 1817 19 the the DT A34005 1817 20 point point NN A34005 1817 21 of of IN A34005 1817 22 Entrance entrance NN A34005 1817 23 falls fall VBZ A34005 1817 24 , , , A34005 1817 25 the the DT A34005 1817 26 thred thre VBN A34005 1817 27 may may MD A34005 1817 28 be be VB A34005 1817 29 laid lay VBN A34005 1817 30 to to IN A34005 1817 31 the the DT A34005 1817 32 like like JJ A34005 1817 33 Arch Arch NNP A34005 1817 34 in in IN A34005 1817 35 the the DT A34005 1817 36 Limb Limb NNP A34005 1817 37 , , , A34005 1817 38 and and CC A34005 1817 39 the the DT A34005 1817 40 respective respective JJ A34005 1817 41 extents extent NNS A34005 1817 42 entred entre VBN A34005 1817 43 parallelly parallelly RB A34005 1817 44 between between IN A34005 1817 45 the the DT A34005 1817 46 Scale Scale NNP A34005 1817 47 and and CC A34005 1817 48 the the DT A34005 1817 49 thred thre VBN A34005 1817 50 , , , A34005 1817 51 and and CC A34005 1817 52 the the DT A34005 1817 53 answer answer NN A34005 1817 54 found find VBN A34005 1817 55 in in IN A34005 1817 56 the the DT A34005 1817 57 Line Line NNP A34005 1817 58 of of IN A34005 1817 59 Sines Sines NNPS A34005 1817 60 . . . A34005 1818 1 But but CC A34005 1818 2 we -PRON- PRP A34005 1818 3 have have VBP A34005 1818 4 a a DT A34005 1818 5 better well JJR A34005 1818 6 remedy remedy NN A34005 1818 7 by by IN A34005 1818 8 help help NN A34005 1818 9 of of IN A34005 1818 10 the the DT A34005 1818 11 Versed Versed NNP A34005 1818 12 Sine Sine NNP A34005 1818 13 of of IN A34005 1818 14 90d 90d CD A34005 1818 15 put put VBD A34005 1818 16 thorow thorow VB A34005 1818 17 the the DT A34005 1818 18 whole whole JJ A34005 1818 19 Limb Limb NNP A34005 1818 20 . . . A34005 1819 1 The the DT A34005 1819 2 joynt joynt JJ A34005 1819 3 use use NN A34005 1819 4 of of IN A34005 1819 5 the the DT A34005 1819 6 Fitted Fitted NNP A34005 1819 7 Scale Scale NNP A34005 1819 8 , , , A34005 1819 9 with with IN A34005 1819 10 the the DT A34005 1819 11 Versed Versed NNP A34005 1819 12 Sine Sine NNP A34005 1819 13 of of IN A34005 1819 14 90d 90d NNPS A34005 1819 15 in in IN A34005 1819 16 the the DT A34005 1819 17 Limb Limb NNP A34005 1819 18 . . . A34005 1820 1 IN in IN A34005 1820 2 the the DT A34005 1820 3 following follow VBG A34005 1820 4 Propositions Propositions NNPS A34005 1820 5 , , , A34005 1820 6 I -PRON- PRP A34005 1820 7 shall shall MD A34005 1820 8 make make VB A34005 1820 9 no no DT A34005 1820 10 use use NN A34005 1820 11 of of IN A34005 1820 12 the the DT A34005 1820 13 lesser less JJR A34005 1820 14 Sine Sine NNP A34005 1820 15 of of IN A34005 1820 16 the the DT A34005 1820 17 Fitted Fitted NNP A34005 1820 18 Scale Scale NNP A34005 1820 19 . . . A34005 1821 1 Get get VB A34005 1821 2 the the DT A34005 1821 3 Summer Summer NNP A34005 1821 4 and and CC A34005 1821 5 Winter Winter NNP A34005 1821 6 Meridian Meridian NNP A34005 1821 7 Altitude Altitude NNP A34005 1821 8 , , , A34005 1821 9 by by IN A34005 1821 10 summing sum VBG A34005 1821 11 and and CC A34005 1821 12 differencing difference VBG A34005 1821 13 the the DT A34005 1821 14 Declination declination NN A34005 1821 15 , , , A34005 1821 16 and and CC A34005 1821 17 the the DT A34005 1821 18 Complement Complement NNP A34005 1821 19 of of IN A34005 1821 20 the the DT A34005 1821 21 Latitude Latitude NNP A34005 1821 22 , , , A34005 1821 23 which which WDT A34005 1821 24 may may MD A34005 1821 25 be be VB A34005 1821 26 done do VBN A34005 1821 27 with with IN A34005 1821 28 Compasses compass NNS A34005 1821 29 in in IN A34005 1821 30 the the DT A34005 1821 31 equal equal JJ A34005 1821 32 Limb Limb NNP A34005 1821 33 , , , A34005 1821 34 by by IN A34005 1821 35 applying apply VBG A34005 1821 36 the the DT A34005 1821 37 Chord Chord NNP A34005 1821 38 of of IN A34005 1821 39 the the DT A34005 1821 40 Declination Declination NNP A34005 1821 41 both both DT A34005 1821 42 ways way NNS A34005 1821 43 from from IN A34005 1821 44 the the DT A34005 1821 45 Co co NN A34005 1821 46 - - NN A34005 1821 47 latitude latitude NN A34005 1821 48 . . . A34005 1822 1 To to TO A34005 1822 2 find find VB A34005 1822 3 the the DT A34005 1822 4 Hour Hour NNP A34005 1822 5 of of IN A34005 1822 6 the the DT A34005 1822 7 Day Day NNP A34005 1822 8 in in IN A34005 1822 9 Winter Winter NNP A34005 1822 10 . . . A34005 1823 1 Take take VB A34005 1823 2 the the DT A34005 1823 3 distance distance NN A34005 1823 4 between between IN A34005 1823 5 the the DT A34005 1823 6 Meridian Meridian NNP A34005 1823 7 Altitude Altitude NNP A34005 1823 8 , , , A34005 1823 9 and and CC A34005 1823 10 the the DT A34005 1823 11 given give VBN A34005 1823 12 Altitude altitude NN A34005 1823 13 , , , A34005 1823 14 out out IN A34005 1823 15 of of IN A34005 1823 16 the the DT A34005 1823 17 greater great JJR A34005 1823 18 Sine Sine NNP A34005 1823 19 of of IN A34005 1823 20 the the DT A34005 1823 21 fitted fitted JJ A34005 1823 22 Scale Scale NNP A34005 1823 23 , , , A34005 1823 24 and and CC A34005 1823 25 as as IN A34005 1823 26 before before RB A34005 1823 27 , , , A34005 1823 28 enter enter VB A34005 1823 29 it -PRON- PRP A34005 1823 30 at at IN A34005 1823 31 the the DT A34005 1823 32 Declination declination NN A34005 1823 33 in in IN A34005 1823 34 the the DT A34005 1823 35 Scale Scale NNP A34005 1823 36 of of IN A34005 1823 37 Entrance Entrance NNP A34005 1823 38 , , , A34005 1823 39 laying lay VBG A34005 1823 40 the the DT A34005 1823 41 thred thre VBN A34005 1823 42 to to IN A34005 1823 43 the the DT A34005 1823 44 other other JJ A34005 1823 45 foot foot NN A34005 1823 46 , , , A34005 1823 47 according accord VBG A34005 1823 48 to to IN A34005 1823 49 nearest near JJS A34005 1823 50 distance distance NN A34005 1823 51 , , , A34005 1823 52 and and CC A34005 1823 53 in in IN A34005 1823 54 the the DT A34005 1823 55 Versed Versed NNP A34005 1823 56 Sine Sine NNP A34005 1823 57 of of IN A34005 1823 58 90d 90d NNPS A34005 1823 59 it -PRON- PRP A34005 1823 60 shews shew VBZ A34005 1823 61 the the DT A34005 1823 62 hour hour NN A34005 1823 63 from from IN A34005 1823 64 Noon Noon NNP A34005 1823 65 . . . A34005 1824 1 So so CC A34005 1824 2 if if IN A34005 1824 3 the the DT A34005 1824 4 Sun Sun NNP A34005 1824 5 have have VBP A34005 1824 6 13d 13d NNS A34005 1824 7 of of IN A34005 1824 8 South South NNP A34005 1824 9 Declination Declination NNP A34005 1824 10 , , , A34005 1824 11 the the DT A34005 1824 12 Meridian Meridian NNP A34005 1824 13 Altitude Altitude NNP A34005 1824 14 is be VBZ A34005 1824 15 25d 25d CD A34005 1824 16 28′ 28′ CD A34005 1824 17 , , , A34005 1824 18 if if IN A34005 1824 19 the the DT A34005 1824 20 given give VBN A34005 1824 21 Altitude altitude NN A34005 1824 22 be be VB A34005 1824 23 17d 17d NNS A34005 1824 24 44′ 44′ CD A34005 1824 25 the the DT A34005 1824 26 time time NN A34005 1824 27 of of IN A34005 1824 28 the the DT A34005 1824 29 day day NN A34005 1824 30 will will MD A34005 1824 31 be be VB A34005 1824 32 half half PDT A34005 1824 33 an an DT A34005 1824 34 hour hour NN A34005 1824 35 past past IN A34005 1824 36 9 9 CD A34005 1824 37 in in IN A34005 1824 38 the the DT A34005 1824 39 morning morning NN A34005 1824 40 , , , A34005 1824 41 or or CC A34005 1824 42 as as RB A34005 1824 43 much much JJ A34005 1824 44 after after IN A34005 1824 45 2 2 CD A34005 1824 46 in in IN A34005 1824 47 the the DT A34005 1824 48 afternoon afternoon NN A34005 1824 49 . . . A34005 1825 1 To to TO A34005 1825 2 find find VB A34005 1825 3 the the DT A34005 1825 4 Hour Hour NNP A34005 1825 5 of of IN A34005 1825 6 the the DT A34005 1825 7 Day Day NNP A34005 1825 8 in in IN A34005 1825 9 Summer Summer NNP A34005 1825 10 . . . A34005 1826 1 Take take VB A34005 1826 2 the the DT A34005 1826 3 distance distance NN A34005 1826 4 between between IN A34005 1826 5 the the DT A34005 1826 6 Summer Summer NNP A34005 1826 7 Meridian Meridian NNP A34005 1826 8 Altitude Altitude NNP A34005 1826 9 , , , A34005 1826 10 and and CC A34005 1826 11 the the DT A34005 1826 12 proposed propose VBN A34005 1826 13 Altitude altitude NN A34005 1826 14 , , , A34005 1826 15 and and CC A34005 1826 16 if if IN A34005 1826 17 this this DT A34005 1826 18 extent extent NN A34005 1826 19 be be VB A34005 1826 20 less less JJR A34005 1826 21 then then RB A34005 1826 22 the the DT A34005 1826 23 distance distance NN A34005 1826 24 of of IN A34005 1826 25 the the DT A34005 1826 26 Declination Declination NNP A34005 1826 27 in in IN A34005 1826 28 the the DT A34005 1826 29 Scale scale NN A34005 1826 30 of of IN A34005 1826 31 Entrance entrance NN A34005 1826 32 from from IN A34005 1826 33 the the DT A34005 1826 34 Center Center NNP A34005 1826 35 , , , A34005 1826 36 enter enter VB A34005 1826 37 it -PRON- PRP A34005 1826 38 at at IN A34005 1826 39 the the DT A34005 1826 40 Declination declination NN A34005 1826 41 in in IN A34005 1826 42 the the DT A34005 1826 43 said say VBN A34005 1826 44 Scale scale NN A34005 1826 45 , , , A34005 1826 46 and and CC A34005 1826 47 laying lay VBG A34005 1826 48 the the DT A34005 1826 49 thred thre VBN A34005 1826 50 to to IN A34005 1826 51 the the DT A34005 1826 52 other other JJ A34005 1826 53 foot foot NN A34005 1826 54 , , , A34005 1826 55 it -PRON- PRP A34005 1826 56 will will MD A34005 1826 57 in in IN A34005 1826 58 the the DT A34005 1826 59 Versed Versed NNP A34005 1826 60 Sine Sine NNP A34005 1826 61 of of IN A34005 1826 62 90d 90d CD A34005 1826 63 shew shew NN A34005 1826 64 the the DT A34005 1826 65 Hour Hour NNP A34005 1826 66 from from IN A34005 1826 67 Noon Noon NNP A34005 1826 68 . . . A34005 1827 1 If if IN A34005 1827 2 the the DT A34005 1827 3 Sun Sun NNP A34005 1827 4 have have VBP A34005 1827 5 23d 23d NNS A34005 1827 6 31′ 31′ CD A34005 1827 7 of of IN A34005 1827 8 North North NNP A34005 1827 9 Declination Declination NNP A34005 1827 10 , , , A34005 1827 11 his -PRON- PRP$ A34005 1827 12 Meridian Meridian NNP A34005 1827 13 Altitude Altitude NNP A34005 1827 14 will will MD A34005 1827 15 be be VB A34005 1827 16 61 61 CD A34005 1827 17 59′ 59′ CD A34005 1827 18 , , , A34005 1827 19 if if IN A34005 1827 20 his -PRON- PRP$ A34005 1827 21 given give VBN A34005 1827 22 Altitude altitude NN A34005 1827 23 be be VB A34005 1827 24 47d 47d CD A34005 1827 25 51′ 51′ CD A34005 1827 26 , , , A34005 1827 27 the the DT A34005 1827 28 time time NN A34005 1827 29 of of IN A34005 1827 30 the the DT A34005 1827 31 day day NN A34005 1827 32 will will MD A34005 1827 33 be be VB A34005 1827 34 a a DT A34005 1827 35 quarter quarter NN A34005 1827 36 past past IN A34005 1827 37 9 9 CD A34005 1827 38 in in IN A34005 1827 39 the the DT A34005 1827 40 morning morning NN A34005 1827 41 , , , A34005 1827 42 or or CC A34005 1827 43 three three CD A34005 1827 44 quarters quarter NNS A34005 1827 45 of of IN A34005 1827 46 an an DT A34005 1827 47 hour hour NN A34005 1827 48 past past IN A34005 1827 49 2 2 CD A34005 1827 50 in in IN A34005 1827 51 the the DT A34005 1827 52 afternoon afternoon NN A34005 1827 53 . . . A34005 1828 1 If if IN A34005 1828 2 the the DT A34005 1828 3 Extent extent NN A34005 1828 4 be be VBP A34005 1828 5 larger large JJR A34005 1828 6 then then RB A34005 1828 7 the the DT A34005 1828 8 distance distance NN A34005 1828 9 of of IN A34005 1828 10 the the DT A34005 1828 11 point point NN A34005 1828 12 of of IN A34005 1828 13 Entrance entrance NN A34005 1828 14 ▪ ▪ NN A34005 1828 15 to to IN A34005 1828 16 wit wit NN A34005 1828 17 , , , A34005 1828 18 the the DT A34005 1828 19 distance distance NN A34005 1828 20 of of IN A34005 1828 21 the the DT A34005 1828 22 Declination Declination NNP A34005 1828 23 in in IN A34005 1828 24 the the DT A34005 1828 25 Scale scale NN A34005 1828 26 of of IN A34005 1828 27 Entrance entrance NN A34005 1828 28 from from IN A34005 1828 29 the the DT A34005 1828 30 Center Center NNP A34005 1828 31 , , , A34005 1828 32 the the DT A34005 1828 33 hour hour NN A34005 1828 34 must must MD A34005 1828 35 be be VB A34005 1828 36 found find VBN A34005 1828 37 from from IN A34005 1828 38 midnight midnight NN A34005 1828 39 . . . A34005 1829 1 In in IN A34005 1829 2 this this DT A34005 1829 3 case case NN A34005 1829 4 , , , A34005 1829 5 with with IN A34005 1829 6 your -PRON- PRP$ A34005 1829 7 Compasses compass NNS A34005 1829 8 add add VB A34005 1829 9 the the DT A34005 1829 10 Sine Sine NNP A34005 1829 11 of of IN A34005 1829 12 the the DT A34005 1829 13 Winter Winter NNP A34005 1829 14 Meridian Meridian NNP A34005 1829 15 Altitude Altitude NNP A34005 1829 16 , , , A34005 1829 17 taken take VBN A34005 1829 18 from from IN A34005 1829 19 the the DT A34005 1829 20 greater great JJR A34005 1829 21 Sine Sine NNP A34005 1829 22 of of IN A34005 1829 23 the the DT A34005 1829 24 fitted fitted JJ A34005 1829 25 Scale Scale NNP A34005 1829 26 , , , A34005 1829 27 to to IN A34005 1829 28 the the DT A34005 1829 29 Sine Sine NNP A34005 1829 30 of of IN A34005 1829 31 the the DT A34005 1829 32 Altitude altitude NN A34005 1829 33 in in IN A34005 1829 34 the the DT A34005 1829 35 said say VBN A34005 1829 36 Scale Scale NNP A34005 1829 37 , , , A34005 1829 38 and and CC A34005 1829 39 enter enter VBP A34005 1829 40 the the DT A34005 1829 41 said say VBD A34005 1829 42 whole whole JJ A34005 1829 43 extent extent NN A34005 1829 44 at at IN A34005 1829 45 the the DT A34005 1829 46 point point NN A34005 1829 47 of of IN A34005 1829 48 Entrance entrance NN A34005 1829 49 , , , A34005 1829 50 as as IN A34005 1829 51 before before RB A34005 1829 52 ; ; : A34005 1829 53 and and CC A34005 1829 54 in in IN A34005 1829 55 the the DT A34005 1829 56 Versed Versed NNP A34005 1829 57 Sine Sine NNP A34005 1829 58 of of IN A34005 1829 59 90d 90d CD A34005 1829 60 , , , A34005 1829 61 the the DT A34005 1829 62 thred thre VBN A34005 1829 63 will will MD A34005 1829 64 shew shew VB A34005 1829 65 the the DT A34005 1829 66 hour hour NN A34005 1829 67 from from IN A34005 1829 68 midnight midnight NN A34005 1829 69 . . . A34005 1830 1 When when WRB A34005 1830 2 the the DT A34005 1830 3 Sun Sun NNP A34005 1830 4 hath hath NNP A34005 1830 5 23 23 CD A34005 1830 6 31′ 31′ CD A34005 1830 7 of of IN A34005 1830 8 North North NNP A34005 1830 9 Declination Declination NNP A34005 1830 10 , , , A34005 1830 11 if if IN A34005 1830 12 his -PRON- PRP$ A34005 1830 13 Altitude altitude NN A34005 1830 14 be be VBP A34005 1830 15 5d 5d CD A34005 1830 16 24′ 24′ CD A34005 1830 17 , , , A34005 1830 18 the the DT A34005 1830 19 time time NN A34005 1830 20 of of IN A34005 1830 21 the the DT A34005 1830 22 day day NN A34005 1830 23 will will MD A34005 1830 24 be be VB A34005 1830 25 half half PDT A34005 1830 26 an an DT A34005 1830 27 hour hour NN A34005 1830 28 past past IN A34005 1830 29 4 4 CD A34005 1830 30 in in IN A34005 1830 31 the the DT A34005 1830 32 morning morning NN A34005 1830 33 , , , A34005 1830 34 or or CC A34005 1830 35 half half PDT A34005 1830 36 an an DT A34005 1830 37 hour hour NN A34005 1830 38 past past IN A34005 1830 39 7 7 CD A34005 1830 40 in in IN A34005 1830 41 the the DT A34005 1830 42 evening evening NN A34005 1830 43 , , , A34005 1830 44 the the DT A34005 1830 45 Winter Winter NNP A34005 1830 46 Meridian Meridian NNP A34005 1830 47 Altitude Altitude NNP A34005 1830 48 to to IN A34005 1830 49 this this DT A34005 1830 50 Declination declination NN A34005 1830 51 being be VBG A34005 1830 52 14d 14d NNS A34005 1830 53 57′ 57′ CD A34005 1830 54 . . . A34005 1831 1 When when WRB A34005 1831 2 the the DT A34005 1831 3 hour hour NN A34005 1831 4 in in IN A34005 1831 5 these these DT A34005 1831 6 examples example NNS A34005 1831 7 falls fall VBZ A34005 1831 8 near near IN A34005 1831 9 Noon Noon NNP A34005 1831 10 , , , A34005 1831 11 the the DT A34005 1831 12 extent extent NN A34005 1831 13 of of IN A34005 1831 14 the the DT A34005 1831 15 Compasses compass NNS A34005 1831 16 may may MD A34005 1831 17 be be VB A34005 1831 18 doubled double VBN A34005 1831 19 , , , A34005 1831 20 or or CC A34005 1831 21 tripled triple VBD A34005 1831 22 , , , A34005 1831 23 and and CC A34005 1831 24 an an DT A34005 1831 25 Ark Ark NNP A34005 1831 26 first first RB A34005 1831 27 found find VBN A34005 1831 28 in in IN A34005 1831 29 the the DT A34005 1831 30 Limb Limb NNP A34005 1831 31 , , , A34005 1831 32 then then RB A34005 1831 33 if if IN A34005 1831 34 the the DT A34005 1831 35 thred thre VBN A34005 1831 36 be be VB A34005 1831 37 laid lay VBN A34005 1831 38 over over IN A34005 1831 39 the the DT A34005 1831 40 like like JJ A34005 1831 41 Ark Ark NNP A34005 1831 42 from from IN A34005 1831 43 the the DT A34005 1831 44 other other JJ A34005 1831 45 edge edge NN A34005 1831 46 , , , A34005 1831 47 it -PRON- PRP A34005 1831 48 will will MD A34005 1831 49 accordingly accordingly RB A34005 1831 50 in in IN A34005 1831 51 the the DT A34005 1831 52 Versed Versed NNP A34005 1831 53 Sines Sines NNPS A34005 1831 54 doubled double VBD A34005 1831 55 or or CC A34005 1831 56 tripled triple VBD A34005 1831 57 , , , A34005 1831 58 shew shew VB A34005 1831 59 the the DT A34005 1831 60 time time NN A34005 1831 61 sought seek VBD A34005 1831 62 ; ; : A34005 1831 63 and and CC A34005 1831 64 the the DT A34005 1831 65 like like JJ A34005 1831 66 may may MD A34005 1831 67 be be VB A34005 1831 68 done do VBN A34005 1831 69 for for IN A34005 1831 70 the the DT A34005 1831 71 Azimuth Azimuth NNP A34005 1831 72 . . . A34005 1832 1 To to TO A34005 1832 2 find find VB A34005 1832 3 the the DT A34005 1832 4 Azimuth Azimuth NNP A34005 1832 5 of of IN A34005 1832 6 the the DT A34005 1832 7 Sun Sun NNP A34005 1832 8 in in IN A34005 1832 9 Winter Winter NNP A34005 1832 10 : : : A34005 1832 11 Get get VB A34005 1832 12 the the DT A34005 1832 13 Ark Ark NNP A34005 1832 14 of of IN A34005 1832 15 difference difference NN A34005 1832 16 between between IN A34005 1832 17 the the DT A34005 1832 18 Suns Suns NNPS A34005 1832 19 Altitude Altitude NNP A34005 1832 20 , , , A34005 1832 21 and and CC A34005 1832 22 the the DT A34005 1832 23 Complement Complement NNP A34005 1832 24 of of IN A34005 1832 25 the the DT A34005 1832 26 Latitude Latitude NNP A34005 1832 27 , , , A34005 1832 28 and and CC A34005 1832 29 in in IN A34005 1832 30 the the DT A34005 1832 31 greater great JJR A34005 1832 32 Sine Sine NNP A34005 1832 33 of of IN A34005 1832 34 the the DT A34005 1832 35 fitted fitted JJ A34005 1832 36 Scale Scale NNP A34005 1832 37 , , , A34005 1832 38 take take VB A34005 1832 39 the the DT A34005 1832 40 distance distance NN A34005 1832 41 between between IN A34005 1832 42 the the DT A34005 1832 43 said say VBD A34005 1832 44 Ark Ark NNP A34005 1832 45 , , , A34005 1832 46 and and CC A34005 1832 47 the the DT A34005 1832 48 Suns Suns NNPS A34005 1832 49 Declination Declination NNP A34005 1832 50 , , , A34005 1832 51 and and CC A34005 1832 52 enter enter VB A34005 1832 53 one one CD A34005 1832 54 foot foot NN A34005 1832 55 of of IN A34005 1832 56 this this DT A34005 1832 57 Extent extent NN A34005 1832 58 at at IN A34005 1832 59 the the DT A34005 1832 60 Altitude altitude NN A34005 1832 61 in in IN A34005 1832 62 the the DT A34005 1832 63 Scale Scale NNP A34005 1832 64 of of IN A34005 1832 65 Entrance Entrance NNP A34005 1832 66 , , , A34005 1832 67 laying lay VBG A34005 1832 68 the the DT A34005 1832 69 thred thre VBN A34005 1832 70 to to IN A34005 1832 71 the the DT A34005 1832 72 other other JJ A34005 1832 73 foot foot NN A34005 1832 74 , , , A34005 1832 75 and and CC A34005 1832 76 in in IN A34005 1832 77 the the DT A34005 1832 78 Versed Versed NNP A34005 1832 79 Sine Sine NNP A34005 1832 80 of of IN A34005 1832 81 90d 90d CD A34005 1832 82 , , , A34005 1832 83 it -PRON- PRP A34005 1832 84 shews shew VBZ A34005 1832 85 the the DT A34005 1832 86 Azimuth Azimuth NNP A34005 1832 87 from from IN A34005 1832 88 Noon Noon NNP A34005 1832 89 Meridian Meridian NNP A34005 1832 90 . . . A34005 1833 1 Example example NN A34005 1833 2 . . . A34005 1834 1 Colatitude Colatitude NNP A34005 1834 2 , , , A34005 1834 3 — — : A34005 1834 4 38d 38d NNS A34005 1834 5 28′ 28′ CD A34005 1834 6 Altitude altitude NN A34005 1834 7 , , , A34005 1834 8 — — : A34005 1834 9 12 12 CD A34005 1834 10 : : SYM A34005 1834 11 13 13 CD A34005 1834 12 Ark Ark NNP A34005 1834 13 of of IN A34005 1834 14 Difference Difference NNP A34005 1834 15 — — : A34005 1834 16 26 26 CD A34005 1834 17 : : SYM A34005 1834 18 15 15 CD A34005 1834 19 Declination declination NN A34005 1834 20 — — : A34005 1834 21 13 13 CD A34005 1834 22 : : SYM A34005 1834 23 00 00 NFP A34005 1834 24 The the DT A34005 1834 25 Azimuth Azimuth NNP A34005 1834 26 to to IN A34005 1834 27 this this DT A34005 1834 28 example example NN A34005 1834 29 , , , A34005 1834 30 will will MD A34005 1834 31 be be VB A34005 1834 32 50d 50d NNS A34005 1834 33 from from IN A34005 1834 34 the the DT A34005 1834 35 South South NNP A34005 1834 36 . . . A34005 1835 1 In in IN A34005 1835 2 Summer summer NN A34005 1835 3 , , , A34005 1835 4 get get VB A34005 1835 5 the the DT A34005 1835 6 Ark Ark NNP A34005 1835 7 of of IN A34005 1835 8 difference difference NN A34005 1835 9 between between IN A34005 1835 10 the the DT A34005 1835 11 Altitude altitude NN A34005 1835 12 , , , A34005 1835 13 and and CC A34005 1835 14 the the DT A34005 1835 15 Complement Complement NNP A34005 1835 16 of of IN A34005 1835 17 the the DT A34005 1835 18 Latitude Latitude NNP A34005 1835 19 , , , A34005 1835 20 then then RB A34005 1835 21 when when WRB A34005 1835 22 the the DT A34005 1835 23 Suns Suns NNPS A34005 1835 24 Altitude Altitude NNP A34005 1835 25 is be VBZ A34005 1835 26 the the DT A34005 1835 27 lesser less JJR A34005 1835 28 of of IN A34005 1835 29 the the DT A34005 1835 30 two two CD A34005 1835 31 , , , A34005 1835 32 take take VB A34005 1835 33 the the DT A34005 1835 34 sum sum NN A34005 1835 35 , , , A34005 1835 36 but but CC A34005 1835 37 when when WRB A34005 1835 38 the the DT A34005 1835 39 greater great JJR A34005 1835 40 , , , A34005 1835 41 the the DT A34005 1835 42 difference difference NN A34005 1835 43 of of IN A34005 1835 44 the the DT A34005 1835 45 Sines Sines NNPS A34005 1835 46 of of IN A34005 1835 47 the the DT A34005 1835 48 Suns Suns NNPS A34005 1835 49 Declination Declination NNP A34005 1835 50 , , , A34005 1835 51 and and CC A34005 1835 52 of of IN A34005 1835 53 the the DT A34005 1835 54 said say VBD A34005 1835 55 Ark Ark NNP A34005 1835 56 , , , A34005 1835 57 and and CC A34005 1835 58 enter enter VB A34005 1835 59 it -PRON- PRP A34005 1835 60 at at IN A34005 1835 61 the the DT A34005 1835 62 Altitude altitude NN A34005 1835 63 on on IN A34005 1835 64 the the DT A34005 1835 65 Scale Scale NNP A34005 1835 66 of of IN A34005 1835 67 Entrance entrance NN A34005 1835 68 , , , A34005 1835 69 and and CC A34005 1835 70 you -PRON- PRP A34005 1835 71 will will MD A34005 1835 72 find find VB A34005 1835 73 the the DT A34005 1835 74 Azimuth Azimuth NNP A34005 1835 75 from from IN A34005 1835 76 the the DT A34005 1835 77 noon noon NN A34005 1835 78 Meridian Meridian NNP A34005 1835 79 , , , A34005 1835 80 as as IN A34005 1835 81 before before RB A34005 1835 82 ; ; : A34005 1835 83 but but CC A34005 1835 84 when when WRB A34005 1835 85 either either DT A34005 1835 86 of of IN A34005 1835 87 those those DT A34005 1835 88 extents extent NNS A34005 1835 89 are be VBP A34005 1835 90 larger large JJR A34005 1835 91 then then RB A34005 1835 92 the the DT A34005 1835 93 distance distance NN A34005 1835 94 between between IN A34005 1835 95 the the DT A34005 1835 96 point point NN A34005 1835 97 of of IN A34005 1835 98 Entrance entrance NN A34005 1835 99 and and CC A34005 1835 100 the the DT A34005 1835 101 Center Center NNP A34005 1835 102 , , , A34005 1835 103 the the DT A34005 1835 104 Azimuth Azimuth NNP A34005 1835 105 must must MD A34005 1835 106 be be VB A34005 1835 107 found find VBN A34005 1835 108 from from IN A34005 1835 109 the the DT A34005 1835 110 midnight midnight NN A34005 1835 111 Meridian Meridian NNP A34005 1835 112 . . . A34005 1836 1 In in IN A34005 1836 2 this this DT A34005 1836 3 case case NN A34005 1836 4 , , , A34005 1836 5 take take VB A34005 1836 6 the the DT A34005 1836 7 difference difference NN A34005 1836 8 , , , A34005 1836 9 that that RB A34005 1836 10 is is RB A34005 1836 11 , , , A34005 1836 12 the the DT A34005 1836 13 distance distance NN A34005 1836 14 of of IN A34005 1836 15 the the DT A34005 1836 16 Sines Sines NNPS A34005 1836 17 of of IN A34005 1836 18 the the DT A34005 1836 19 Suns Suns NNPS A34005 1836 20 Declination Declination NNP A34005 1836 21 , , , A34005 1836 22 and and CC A34005 1836 23 of of IN A34005 1836 24 the the DT A34005 1836 25 Ark Ark NNP A34005 1836 26 ▪ ▪ NN A34005 1836 27 being be VBG A34005 1836 28 the the DT A34005 1836 29 sum sum NN A34005 1836 30 of of IN A34005 1836 31 the the DT A34005 1836 32 Altitude Altitude NNP A34005 1836 33 and and CC A34005 1836 34 Colatitude Colatitude NNP A34005 1836 35 , , , A34005 1836 36 out out IN A34005 1836 37 of of IN A34005 1836 38 the the DT A34005 1836 39 greater great JJR A34005 1836 40 Sine Sine NNP A34005 1836 41 of of IN A34005 1836 42 the the DT A34005 1836 43 fitted fitted JJ A34005 1836 44 Scale Scale NNP A34005 1836 45 , , , A34005 1836 46 and and CC A34005 1836 47 enter enter VB A34005 1836 48 it -PRON- PRP A34005 1836 49 at at IN A34005 1836 50 the the DT A34005 1836 51 Altitude altitude NN A34005 1836 52 in in IN A34005 1836 53 the the DT A34005 1836 54 Scale Scale NNP A34005 1836 55 of of IN A34005 1836 56 Entrance Entrance NNP A34005 1836 57 , , , A34005 1836 58 laying lay VBG A34005 1836 59 the the DT A34005 1836 60 thred thre VBN A34005 1836 61 to to IN A34005 1836 62 the the DT A34005 1836 63 other other JJ A34005 1836 64 foot foot NN A34005 1836 65 , , , A34005 1836 66 and and CC A34005 1836 67 in in IN A34005 1836 68 the the DT A34005 1836 69 Versed Versed NNP A34005 1836 70 Sine Sine NNP A34005 1836 71 it -PRON- PRP A34005 1836 72 shews shew VBZ A34005 1836 73 the the DT A34005 1836 74 Azimuth Azimuth NNP A34005 1836 75 from from IN A34005 1836 76 the the DT A34005 1836 77 North North NNP A34005 1836 78 . . . A34005 1837 1 Example example NN A34005 1837 2 for for IN A34005 1837 3 finding find VBG A34005 1837 4 the the DT A34005 1837 5 Azimuth Azimuth NNP A34005 1837 6 from from IN A34005 1837 7 the the DT A34005 1837 8 North North NNP A34005 1837 9 . . . A34005 1838 1 Colatitude Colatitude NNP A34005 1838 2 — — : A34005 1838 3 38d 38d NNS A34005 1838 4 28′ 28′ CD A34005 1838 5 Altitude altitude NN A34005 1838 6 — — : A34005 1838 7 14 14 CD A34005 1838 8 : : : A34005 1838 9 15 15 CD A34005 1838 10 Sum Sum NNP A34005 1838 11 — — : A34005 1838 12 52 52 CD A34005 1838 13 : : SYM A34005 1838 14 43 43 CD A34005 1838 15 Declination Declination NNP A34005 1838 16 , , , A34005 1838 17 — — : A34005 1838 18 23 23 CD A34005 1838 19 : : : A34005 1838 20 31 31 CD A34005 1838 21 The the DT A34005 1838 22 Azimuth Azimuth NNP A34005 1838 23 to to IN A34005 1838 24 this this DT A34005 1838 25 example example NN A34005 1838 26 , , , A34005 1838 27 will will MD A34005 1838 28 be be VB A34005 1838 29 found find VBN A34005 1838 30 to to TO A34005 1838 31 be be VB A34005 1838 32 70d 70d NNS A34005 1838 33 from from IN A34005 1838 34 the the DT A34005 1838 35 North North NNP A34005 1838 36 . . . A34005 1839 1 Of of IN A34005 1839 2 the the DT A34005 1839 3 joynt joynt NNP A34005 1839 4 use use NN A34005 1839 5 of of IN A34005 1839 6 the the DT A34005 1839 7 Diagonal Diagonal NNP A34005 1839 8 Scale Scale NNP A34005 1839 9 , , , A34005 1839 10 with with IN A34005 1839 11 the the DT A34005 1839 12 Line Line NNP A34005 1839 13 of of IN A34005 1839 14 Sines Sines NNPS A34005 1839 15 on on IN A34005 1839 16 this this DT A34005 1839 17 Quadrant quadrant NN A34005 1839 18 . . . A34005 1840 1 If if IN A34005 1840 2 the the DT A34005 1840 3 respective respective JJ A34005 1840 4 extents extent NNS A34005 1840 5 that that WDT A34005 1840 6 found find VBD A34005 1840 7 the the DT A34005 1840 8 Hour Hour NNP A34005 1840 9 and and CC A34005 1840 10 Azimuth Azimuth NNP A34005 1840 11 in in IN A34005 1840 12 the the DT A34005 1840 13 Limb Limb NNP A34005 1840 14 on on IN A34005 1840 15 the the DT A34005 1840 16 small small JJ A34005 1840 17 Quadrant Quadrant NNP A34005 1840 18 , , , A34005 1840 19 be be VB A34005 1840 20 doubled double VBN A34005 1840 21 , , , A34005 1840 22 and and CC A34005 1840 23 applyed apply VBD A34005 1840 24 here here RB A34005 1840 25 to to IN A34005 1840 26 the the DT A34005 1840 27 Line Line NNP A34005 1840 28 of of IN A34005 1840 29 Sines Sines NNPS A34005 1840 30 issuing issue VBG A34005 1840 31 from from IN A34005 1840 32 the the DT A34005 1840 33 Center Center NNP A34005 1840 34 , , , A34005 1840 35 which which WDT A34005 1840 36 in in IN A34005 1840 37 this this DT A34005 1840 38 case case NN A34005 1840 39 becomes become VBZ A34005 1840 40 the the DT A34005 1840 41 Scale Scale NNP A34005 1840 42 of of IN A34005 1840 43 Entrance entrance NN A34005 1840 44 , , , A34005 1840 45 the the DT A34005 1840 46 Hour Hour NNP A34005 1840 47 and and CC A34005 1840 48 Azimuth Azimuth NNP A34005 1840 49 will will MD A34005 1840 50 be be VB A34005 1840 51 also also RB A34005 1840 52 found find VBN A34005 1840 53 in in IN A34005 1840 54 the the DT A34005 1840 55 equal equal JJ A34005 1840 56 Limb Limb NNP A34005 1840 57 of of IN A34005 1840 58 this this DT A34005 1840 59 Quadrant Quadrant NNP A34005 1840 60 , , , A34005 1840 61 for for IN A34005 1840 62 all all PDT A34005 1840 63 those those DT A34005 1840 64 respective respective JJ A34005 1840 65 Latitudes latitude NNS A34005 1840 66 to to TO A34005 1840 67 which which WDT A34005 1840 68 the the DT A34005 1840 69 Diagonal Diagonal NNP A34005 1840 70 Scale Scale NNP A34005 1840 71 is be VBZ A34005 1840 72 accommodated accommodate VBN A34005 1840 73 . . . A34005 1841 1 Of of IN A34005 1841 2 the the DT A34005 1841 3 Hour Hour NNP A34005 1841 4 and and CC A34005 1841 5 Azimuth Azimuth NNP A34005 1841 6 Scales Scales NNP A34005 1841 7 on on IN A34005 1841 8 the the DT A34005 1841 9 Back back JJ A34005 1841 10 - - HYPH A34005 1841 11 side side NN A34005 1841 12 thereof thereof RB A34005 1841 13 . . . A34005 1842 1 THose those DT A34005 1842 2 Scales scale NNS A34005 1842 3 were be VBD A34005 1842 4 fitted fit VBN A34005 1842 5 to to IN A34005 1842 6 the the DT A34005 1842 7 Versed Versed NNP A34005 1842 8 Sines Sines NNPS A34005 1842 9 quadrupled quadruple VBD A34005 1842 10 on on IN A34005 1842 11 that that DT A34005 1842 12 small small JJ A34005 1842 13 Quadrant Quadrant NNP A34005 1842 14 , , , A34005 1842 15 and and CC A34005 1842 16 consequently consequently RB A34005 1842 17 , , , A34005 1842 18 are be VBP A34005 1842 19 fitted fit VBN A34005 1842 20 to to IN A34005 1842 21 the the DT A34005 1842 22 Versed Versed NNP A34005 1842 23 Sine Sine NNP A34005 1842 24 of of IN A34005 1842 25 90d 90d CD A34005 1842 26 , , , A34005 1842 27 and and CC A34005 1842 28 the the DT A34005 1842 29 Line Line NNP A34005 1842 30 of of IN A34005 1842 31 Sines Sines NNPS A34005 1842 32 on on IN A34005 1842 33 this this DT A34005 1842 34 Quadrant Quadrant NNP A34005 1842 35 , , , A34005 1842 36 which which WDT A34005 1842 37 is be VBZ A34005 1842 38 just just RB A34005 1842 39 double double PDT A34005 1842 40 the the DT A34005 1842 41 Radius Radius NNP A34005 1842 42 of of IN A34005 1842 43 that that DT A34005 1842 44 Quadrant Quadrant NNP A34005 1842 45 . . . A34005 1843 1 Those those DT A34005 1843 2 Scales scale NNS A34005 1843 3 are be VBP A34005 1843 4 peculiarly peculiarly RB A34005 1843 5 fitted fit VBN A34005 1843 6 for for IN A34005 1843 7 the the DT A34005 1843 8 Latitude Latitude NNP A34005 1843 9 of of IN A34005 1843 10 London London NNP A34005 1843 11 , , , A34005 1843 12 and and CC A34005 1843 13 thereby thereby RB A34005 1843 14 we -PRON- PRP A34005 1843 15 may may MD A34005 1843 16 alwaies alwaie NNS A34005 1843 17 find find VB A34005 1843 18 the the DT A34005 1843 19 Hour Hour NNP A34005 1843 20 and and CC A34005 1843 21 Azimuth Azimuth NNP A34005 1843 22 in in IN A34005 1843 23 the the DT A34005 1843 24 Versed Versed NNP A34005 1843 25 Sine Sine NNP A34005 1843 26 of of IN A34005 1843 27 90 90 CD A34005 1843 28 , , , A34005 1843 29 without without IN A34005 1843 30 the the DT A34005 1843 31 trouble trouble NN A34005 1843 32 of of IN A34005 1843 33 summing sum VBG A34005 1843 34 or or CC A34005 1843 35 differencing differencing NN A34005 1843 36 of of IN A34005 1843 37 Arks Arks NNP A34005 1843 38 . . . A34005 1844 1 1 1 LS A34005 1844 2 . . . A34005 1845 1 By by IN A34005 1845 2 the the DT A34005 1845 3 Hour Hour NNP A34005 1845 4 Scale Scale NNP A34005 1845 5 , , , A34005 1845 6 to to TO A34005 1845 7 find find VB A34005 1845 8 the the DT A34005 1845 9 Hour Hour NNP A34005 1845 10 of of IN A34005 1845 11 the the DT A34005 1845 12 Day day NN A34005 1845 13 . . . A34005 1846 1 Take take VB A34005 1846 2 the the DT A34005 1846 3 distance distance NN A34005 1846 4 between between IN A34005 1846 5 the the DT A34005 1846 6 Declination Declination NNP A34005 1846 7 , , , A34005 1846 8 proper proper JJ A34005 1846 9 to to IN A34005 1846 10 the the DT A34005 1846 11 season season NN A34005 1846 12 of of IN A34005 1846 13 the the DT A34005 1846 14 year year NN A34005 1846 15 , , , A34005 1846 16 and and CC A34005 1846 17 the the DT A34005 1846 18 Altitude Altitude NNP A34005 1846 19 , , , A34005 1846 20 and and CC A34005 1846 21 entering enter VBG A34005 1846 22 one one CD A34005 1846 23 foot foot NN A34005 1846 24 of of IN A34005 1846 25 that that DT A34005 1846 26 extent extent NN A34005 1846 27 at at IN A34005 1846 28 the the DT A34005 1846 29 Complement Complement NNP A34005 1846 30 of of IN A34005 1846 31 the the DT A34005 1846 32 Declination declination NN A34005 1846 33 in in IN A34005 1846 34 the the DT A34005 1846 35 Sines Sines NNPS A34005 1846 36 , , , A34005 1846 37 lay lie VBD A34005 1846 38 the the DT A34005 1846 39 thred thre VBN A34005 1846 40 to to IN A34005 1846 41 the the DT A34005 1846 42 other other JJ A34005 1846 43 foot foot NN A34005 1846 44 , , , A34005 1846 45 according accord VBG A34005 1846 46 to to IN A34005 1846 47 nearest near JJS A34005 1846 48 distance distance NN A34005 1846 49 , , , A34005 1846 50 and and CC A34005 1846 51 it -PRON- PRP A34005 1846 52 shews shew VBZ A34005 1846 53 the the DT A34005 1846 54 hour hour NN A34005 1846 55 from from IN A34005 1846 56 Noon Noon NNP A34005 1846 57 . . . A34005 1847 1 Example example NN A34005 1847 2 . . . A34005 1848 1 When when WRB A34005 1848 2 the the DT A34005 1848 3 Sun Sun NNP A34005 1848 4 hath hath NN A34005 1848 5 13d 13d NNS A34005 1848 6 of of IN A34005 1848 7 North North NNP A34005 1848 8 Declination Declination NNP A34005 1848 9 , , , A34005 1848 10 his -PRON- PRP$ A34005 1848 11 Altitude altitude NN A34005 1848 12 being be VBG A34005 1848 13 47 47 CD A34005 1848 14 ● ● CD A34005 1848 15 24′ 24′ CD A34005 1848 16 , , , A34005 1848 17 the the DT A34005 1848 18 Hour Hour NNP A34005 1848 19 will will MD A34005 1848 20 be be VB A34005 1848 21 30′ 30′ CD A34005 1848 22 past past IN A34005 1848 23 10 10 CD A34005 1848 24 in in IN A34005 1848 25 the the DT A34005 1848 26 morning morning NN A34005 1848 27 , , , A34005 1848 28 or or CC A34005 1848 29 as as RB A34005 1848 30 much much JJ A34005 1848 31 past past JJ A34005 1848 32 1 1 CD A34005 1848 33 in in IN A34005 1848 34 the the DT A34005 1848 35 afternoon afternoon NN A34005 1848 36 . . . A34005 1849 1 In in IN A34005 1849 2 Summer summer NN A34005 1849 3 , , , A34005 1849 4 when when WRB A34005 1849 5 this this DT A34005 1849 6 extent extent NN A34005 1849 7 is be VBZ A34005 1849 8 greater great JJR A34005 1849 9 then then RB A34005 1849 10 the the DT A34005 1849 11 Cosine Cosine NNP A34005 1849 12 of of IN A34005 1849 13 the the DT A34005 1849 14 Declination Declination NNP A34005 1849 15 , , , A34005 1849 16 and and CC A34005 1849 17 that that IN A34005 1849 18 it -PRON- PRP A34005 1849 19 will will MD A34005 1849 20 be be VB A34005 1849 21 , , , A34005 1849 22 when when WRB A34005 1849 23 the the DT A34005 1849 24 Sun Sun NNP A34005 1849 25 hath hath NN A34005 1849 26 less less JJR A34005 1849 27 Altitude altitude NN A34005 1849 28 then then RB A34005 1849 29 he -PRON- PRP A34005 1849 30 hath hath VBP A34005 1849 31 at at IN A34005 1849 32 6 6 CD A34005 1849 33 . . . A34005 1850 1 The the DT A34005 1850 2 Declination Declination NNP A34005 1850 3 is be VBZ A34005 1850 4 graduated graduate VBN A34005 1850 5 against against IN A34005 1850 6 the the DT A34005 1850 7 Meridian Meridian NNP A34005 1850 8 Altitudes Altitudes NNPS A34005 1850 9 . . . A34005 1851 1 In in IN A34005 1851 2 this this DT A34005 1851 3 case case NN A34005 1851 4 , , , A34005 1851 5 add add VB A34005 1851 6 the the DT A34005 1851 7 Sine Sine NNP A34005 1851 8 of of IN A34005 1851 9 the the DT A34005 1851 10 Altitude altitude NN A34005 1851 11 given give VBN A34005 1851 12 , , , A34005 1851 13 to to IN A34005 1851 14 the the DT A34005 1851 15 Sine Sine NNP A34005 1851 16 of of IN A34005 1851 17 the the DT A34005 1851 18 Meridian Meridian NNP A34005 1851 19 Altitude Altitude NNP A34005 1851 20 in in IN A34005 1851 21 Winter Winter NNP A34005 1851 22 , , , A34005 1851 23 to to IN A34005 1851 24 that that DT A34005 1851 25 Declination declination NN A34005 1851 26 , , , A34005 1851 27 with with IN A34005 1851 28 your -PRON- PRP$ A34005 1851 29 Compasses compass NNS A34005 1851 30 , , , A34005 1851 31 and and CC A34005 1851 32 enter enter VB A34005 1851 33 that that DT A34005 1851 34 whole whole JJ A34005 1851 35 extent extent NN A34005 1851 36 at at IN A34005 1851 37 the the DT A34005 1851 38 Declination Declination NNP A34005 1851 39 counted count VBN A34005 1851 40 in in IN A34005 1851 41 the the DT A34005 1851 42 Line Line NNP A34005 1851 43 of of IN A34005 1851 44 Sines Sines NNPS A34005 1851 45 from from IN A34005 1851 46 90d 90d NNS A34005 1851 47 laying lay VBG A34005 1851 48 the the DT A34005 1851 49 thred thre VBN A34005 1851 50 to to IN A34005 1851 51 the the DT A34005 1851 52 other other JJ A34005 1851 53 foot foot NN A34005 1851 54 , , , A34005 1851 55 according accord VBG A34005 1851 56 to to IN A34005 1851 57 nearest near JJS A34005 1851 58 distance distance NN A34005 1851 59 , , , A34005 1851 60 and and CC A34005 1851 61 in in IN A34005 1851 62 the the DT A34005 1851 63 Versed Versed NNP A34005 1851 64 Sine Sine NNP A34005 1851 65 of of IN A34005 1851 66 90d 90d CD A34005 1851 67 , , , A34005 1851 68 it -PRON- PRP A34005 1851 69 will will MD A34005 1851 70 shew shew VB A34005 1851 71 the the DT A34005 1851 72 hour hour NN A34005 1851 73 from from IN A34005 1851 74 midnight midnight NN A34005 1851 75 . . . A34005 1852 1 Declination Declination NNP A34005 1852 2 , , , A34005 1852 3 — — : A34005 1852 4 23d 23d NNS A34005 1852 5 31′ 31′ NNP A34005 1852 6 North North NNP A34005 1852 7 , , , A34005 1852 8 The the DT A34005 1852 9 hour hour NN A34005 1852 10 will will MD A34005 1852 11 be be VB A34005 1852 12 found find VBN A34005 1852 13 either either CC A34005 1852 14 4 4 CD A34005 1852 15 in in IN A34005 1852 16 the the DT A34005 1852 17 morning morning NN A34005 1852 18 , , , A34005 1852 19 or or CC A34005 1852 20 8 8 CD A34005 1852 21 at at IN A34005 1852 22 night night NN A34005 1852 23 . . . A34005 1853 1 Altitude altitude NN A34005 1853 2 — — : A34005 1853 3 1 1 LS A34005 1853 4 : : : A34005 1853 5 34 34 CD A34005 1853 6 The the DT A34005 1853 7 hour hour NN A34005 1853 8 will will MD A34005 1853 9 be be VB A34005 1853 10 found find VBN A34005 1853 11 either either CC A34005 1853 12 4 4 CD A34005 1853 13 in in IN A34005 1853 14 the the DT A34005 1853 15 morning morning NN A34005 1853 16 , , , A34005 1853 17 or or CC A34005 1853 18 8 8 CD A34005 1853 19 at at IN A34005 1853 20 night night NN A34005 1853 21 . . . A34005 1854 1 2 2 LS A34005 1854 2 . . . A34005 1855 1 By by IN A34005 1855 2 the the DT A34005 1855 3 Azimuth Azimuth NNP A34005 1855 4 Scale Scale NNP A34005 1855 5 , , , A34005 1855 6 to to TO A34005 1855 7 find find VB A34005 1855 8 the the DT A34005 1855 9 Azimuth Azimuth NNP A34005 1855 10 of of IN A34005 1855 11 the the DT A34005 1855 12 Sun Sun NNP A34005 1855 13 . . . A34005 1856 1 Take take VB A34005 1856 2 the the DT A34005 1856 3 distance distance NN A34005 1856 4 between between IN A34005 1856 5 the the DT A34005 1856 6 Declination Declination NNP A34005 1856 7 proper proper JJ A34005 1856 8 to to IN A34005 1856 9 the the DT A34005 1856 10 season season NN A34005 1856 11 of of IN A34005 1856 12 the the DT A34005 1856 13 year year NN A34005 1856 14 , , , A34005 1856 15 and and CC A34005 1856 16 the the DT A34005 1856 17 Altitude Altitude NNP A34005 1856 18 , , , A34005 1856 19 and and CC A34005 1856 20 entering enter VBG A34005 1856 21 one one CD A34005 1856 22 foot foot NN A34005 1856 23 of of IN A34005 1856 24 this this DT A34005 1856 25 extent extent NN A34005 1856 26 at at IN A34005 1856 27 the the DT A34005 1856 28 Complement Complement NNP A34005 1856 29 of of IN A34005 1856 30 the the DT A34005 1856 31 Altitude altitude NN A34005 1856 32 in in IN A34005 1856 33 the the DT A34005 1856 34 Lines line NNS A34005 1856 35 of of IN A34005 1856 36 Sines Sines NNPS A34005 1856 37 issuing issue VBG A34005 1856 38 from from IN A34005 1856 39 the the DT A34005 1856 40 Center Center NNP A34005 1856 41 , , , A34005 1856 42 to to IN A34005 1856 43 the the DT A34005 1856 44 other other JJ A34005 1856 45 lay lie VBD A34005 1856 46 the the DT A34005 1856 47 thred thre VBN A34005 1856 48 according accord VBG A34005 1856 49 to to IN A34005 1856 50 nearest near JJS A34005 1856 51 distance distance NN A34005 1856 52 , , , A34005 1856 53 and and CC A34005 1856 54 it -PRON- PRP A34005 1856 55 shews shew VBZ A34005 1856 56 the the DT A34005 1856 57 Azimuth Azimuth NNP A34005 1856 58 from from IN A34005 1856 59 the the DT A34005 1856 60 noon noon NN A34005 1856 61 Meridian Meridian NNP A34005 1856 62 in in IN A34005 1856 63 the the DT A34005 1856 64 Versed Versed NNP A34005 1856 65 Sine Sine NNP A34005 1856 66 of of IN A34005 1856 67 90d 90d CD A34005 1856 68 . . . A34005 1857 1 Declination declination NN A34005 1857 2 — — : A34005 1857 3 23d 23d NNS A34005 1857 4 31′ 31′ NNP A34005 1857 5 North North NNP A34005 1857 6 , , , A34005 1857 7 The the DT A34005 1857 8 Azimuth Azimuth NNP A34005 1857 9 hereto hereto NN A34005 1857 10 will will MD A34005 1857 11 be be VB A34005 1857 12 found find VBN A34005 1857 13 65d 65d NNS A34005 1857 14 from from IN A34005 1857 15 the the DT A34005 1857 16 South South NNP A34005 1857 17 . . . A34005 1858 1 Altitude altitude NN A34005 1858 2 — — : A34005 1858 3 47 47 CD A34005 1858 4 : : : A34005 1858 5 27 27 CD A34005 1858 6 The the DT A34005 1858 7 Azimuth Azimuth NNP A34005 1858 8 hereto hereto NN A34005 1858 9 will will MD A34005 1858 10 be be VB A34005 1858 11 found find VBN A34005 1858 12 65d 65d NNS A34005 1858 13 from from IN A34005 1858 14 the the DT A34005 1858 15 South South NNP A34005 1858 16 . . . A34005 1859 1 In in IN A34005 1859 2 Summer summer NN A34005 1859 3 , , , A34005 1859 4 when when WRB A34005 1859 5 this this DT A34005 1859 6 extent extent NN A34005 1859 7 is be VBZ A34005 1859 8 greater great JJR A34005 1859 9 then then RB A34005 1859 10 the the DT A34005 1859 11 Cosine Cosine NNP A34005 1859 12 of of IN A34005 1859 13 the the DT A34005 1859 14 Altitude altitude NN A34005 1859 15 , , , A34005 1859 16 and and CC A34005 1859 17 that that IN A34005 1859 18 it -PRON- PRP A34005 1859 19 will will MD A34005 1859 20 be be VB A34005 1859 21 , , , A34005 1859 22 when when WRB A34005 1859 23 the the DT A34005 1859 24 Sun Sun NNP A34005 1859 25 hath hath NN A34005 1859 26 less less JJR A34005 1859 27 Altitude altitude NN A34005 1859 28 then then RB A34005 1859 29 he -PRON- PRP A34005 1859 30 hath hath VBP A34005 1859 31 in in IN A34005 1859 32 the the DT A34005 1859 33 Vertical Vertical NNP A34005 1859 34 , , , A34005 1859 35 the the DT A34005 1859 36 Azimuth Azimuth NNP A34005 1859 37 must must MD A34005 1859 38 be be VB A34005 1859 39 found find VBN A34005 1859 40 from from IN A34005 1859 41 the the DT A34005 1859 42 midnight midnight NN A34005 1859 43 Meridian Meridian NNP A34005 1859 44 . . . A34005 1860 1 In in IN A34005 1860 2 this this DT A34005 1860 3 case case NN A34005 1860 4 , , , A34005 1860 5 because because IN A34005 1860 6 the the DT A34005 1860 7 Azimuth Azimuth NNP A34005 1860 8 Scale Scale NNP A34005 1860 9 is be VBZ A34005 1860 10 not not RB A34005 1860 11 continued continue VBN A34005 1860 12 far far RB A34005 1860 13 enough enough RB A34005 1860 14 , , , A34005 1860 15 the the DT A34005 1860 16 sum sum NN A34005 1860 17 of of IN A34005 1860 18 the the DT A34005 1860 19 Altitude Altitude NNP A34005 1860 20 and and CC A34005 1860 21 Colatitude Colatitude NNP A34005 1860 22 must must MD A34005 1860 23 be be VB A34005 1860 24 gotten get VBN A34005 1860 25 , , , A34005 1860 26 and and CC A34005 1860 27 the the DT A34005 1860 28 distance distance NN A34005 1860 29 taken take VBN A34005 1860 30 between between IN A34005 1860 31 the the DT A34005 1860 32 said say VBD A34005 1860 33 Ark Ark NNP A34005 1860 34 and and CC A34005 1860 35 the the DT A34005 1860 36 Declination Declination NNP A34005 1860 37 , , , A34005 1860 38 counted count VBN A34005 1860 39 in in IN A34005 1860 40 the the DT A34005 1860 41 hour hour NN A34005 1860 42 - - : A34005 1860 43 Scale scale NN A34005 1860 44 as as IN A34005 1860 45 a a DT A34005 1860 46 Sine Sine NNP A34005 1860 47 , , , A34005 1860 48 and and CC A34005 1860 49 that that DT A34005 1860 50 extent extent NN A34005 1860 51 entred entre VBN A34005 1860 52 at at IN A34005 1860 53 the the DT A34005 1860 54 Altitude altitude NN A34005 1860 55 counted count VBN A34005 1860 56 from from IN A34005 1860 57 90d 90d NNS A34005 1860 58 in in IN A34005 1860 59 the the DT A34005 1860 60 Line Line NNP A34005 1860 61 of of IN A34005 1860 62 Sines Sines NNPS A34005 1860 63 , , , A34005 1860 64 and and CC A34005 1860 65 the the DT A34005 1860 66 thred thre VBN A34005 1860 67 laid lay VBD A34005 1860 68 to to IN A34005 1860 69 the the DT A34005 1860 70 other other JJ A34005 1860 71 foot foot NN A34005 1860 72 , , , A34005 1860 73 will will MD A34005 1860 74 shew shew VB A34005 1860 75 the the DT A34005 1860 76 Azimuth Azimuth NNP A34005 1860 77 from from IN A34005 1860 78 the the DT A34005 1860 79 North North NNP A34005 1860 80 in in IN A34005 1860 81 the the DT A34005 1860 82 Versed Versed NNP A34005 1860 83 Sine sine NN A34005 1860 84 of of IN A34005 1860 85 90d 90d NNPS A34005 1860 86 in in IN A34005 1860 87 the the DT A34005 1860 88 Limb Limb NNP A34005 1860 89 . . . A34005 1861 1 Colatitude Colatitude NNP A34005 1861 2 , , , A34005 1861 3 — — : A34005 1861 4 38 38 CD A34005 1861 5 ● ● CD A34005 1861 6 28′ 28′ CD A34005 1861 7 The the DT A34005 1861 8 Azimuth Azimuth NNP A34005 1861 9 to to IN A34005 1861 10 this this DT A34005 1861 11 example example NN A34005 1861 12 will will MD A34005 1861 13 be be VB A34005 1861 14 65d 65d NNS A34005 1861 15 from from IN A34005 1861 16 the the DT A34005 1861 17 North North NNP A34005 1861 18 . . . A34005 1862 1 Altitude altitude NN A34005 1862 2 — — : A34005 1862 3 10 10 CD A34005 1862 4 : : SYM A34005 1862 5 19 19 CD A34005 1862 6 The the DT A34005 1862 7 Azimuth Azimuth NNP A34005 1862 8 to to IN A34005 1862 9 this this DT A34005 1862 10 example example NN A34005 1862 11 will will MD A34005 1862 12 be be VB A34005 1862 13 65d 65d NNS A34005 1862 14 from from IN A34005 1862 15 the the DT A34005 1862 16 North North NNP A34005 1862 17 . . . A34005 1863 1 Sum Sum NNP A34005 1863 2 — — : A34005 1863 3 48 48 CD A34005 1863 4 : : : A34005 1863 5 47 47 CD A34005 1863 6 The the DT A34005 1863 7 Azimuth Azimuth NNP A34005 1863 8 to to IN A34005 1863 9 this this DT A34005 1863 10 example example NN A34005 1863 11 will will MD A34005 1863 12 be be VB A34005 1863 13 65d 65d NNS A34005 1863 14 from from IN A34005 1863 15 the the DT A34005 1863 16 North North NNP A34005 1863 17 . . . A34005 1864 1 Declination Declination NNP A34005 1864 2 — — : A34005 1864 3 23 23 CD A34005 1864 4 : : : A34005 1864 5 31 31 CD A34005 1864 6 The the DT A34005 1864 7 Azimuth Azimuth NNP A34005 1864 8 to to IN A34005 1864 9 this this DT A34005 1864 10 example example NN A34005 1864 11 will will MD A34005 1864 12 be be VB A34005 1864 13 65d 65d NNS A34005 1864 14 from from IN A34005 1864 15 the the DT A34005 1864 16 North North NNP A34005 1864 17 . . . A34005 1865 1 North North NNP A34005 1865 2 . . . A34005 1866 1 General General NNP A34005 1866 2 Proportions Proportions NNP A34005 1866 3 . . . A34005 1867 1 It -PRON- PRP A34005 1867 2 now now RB A34005 1867 3 remains remain VBZ A34005 1867 4 to to TO A34005 1867 5 be be VB A34005 1867 6 shewed shew VBN A34005 1867 7 , , , A34005 1867 8 how how WRB A34005 1867 9 the the DT A34005 1867 10 Hour Hour NNP A34005 1867 11 , , , A34005 1867 12 and and CC A34005 1867 13 Azimuth Azimuth NNP A34005 1867 14 , , , A34005 1867 15 & & CC A34005 1867 16 c. c. NNP A34005 1867 17 may may MD A34005 1867 18 be be VB A34005 1867 19 found find VBN A34005 1867 20 generally generally RB A34005 1867 21 , , , A34005 1867 22 either either CC A34005 1867 23 in in IN A34005 1867 24 the the DT A34005 1867 25 equal equal JJ A34005 1867 26 Limb Limb NNP A34005 1867 27 , , , A34005 1867 28 or or CC A34005 1867 29 in in IN A34005 1867 30 the the DT A34005 1867 31 Versed Versed NNP A34005 1867 32 Sine Sine NNP A34005 1867 33 of of IN A34005 1867 34 90d 90d CD A34005 1867 35 , , , A34005 1867 36 and and CC A34005 1867 37 that that IN A34005 1867 38 without without IN A34005 1867 39 the the DT A34005 1867 40 help help NN A34005 1867 41 of of IN A34005 1867 42 Tangents Tangents NNP A34005 1867 43 or or CC A34005 1867 44 Secants Secants NNPS A34005 1867 45 , , , A34005 1867 46 and and CC A34005 1867 47 possibly possibly RB A34005 1867 48 with with IN A34005 1867 49 more more JJR A34005 1867 50 convenience convenience NN A34005 1867 51 then then RB A34005 1867 52 with with IN A34005 1867 53 them -PRON- PRP A34005 1867 54 . . . A34005 1868 1 In in IN A34005 1868 2 page page NN A34005 1868 3 55 55 CD A34005 1868 4 . . . A34005 1869 1 I -PRON- PRP A34005 1869 2 have have VBP A34005 1869 3 asserted assert VBN A34005 1869 4 , , , A34005 1869 5 that that IN A34005 1869 6 the the DT A34005 1869 7 fourth fourth JJ A34005 1869 8 term term NN A34005 1869 9 in in IN A34005 1869 10 any any DT A34005 1869 11 direct direct JJ A34005 1869 12 Proportion proportion NN A34005 1869 13 , , , A34005 1869 14 bears bear VBZ A34005 1869 15 such such JJ A34005 1869 16 Proportion proportion NN A34005 1869 17 to to IN A34005 1869 18 the the DT A34005 1869 19 first first JJ A34005 1869 20 term term NN A34005 1869 21 , , , A34005 1869 22 as as IN A34005 1869 23 the the DT A34005 1869 24 Rectangle Rectangle NNP A34005 1869 25 of of IN A34005 1869 26 the the DT A34005 1869 27 two two CD A34005 1869 28 middle middle JJ A34005 1869 29 terms term NNS A34005 1869 30 doth doth JJ A34005 1869 31 to to IN A34005 1869 32 the the DT A34005 1869 33 square square NN A34005 1869 34 of of IN A34005 1869 35 the the DT A34005 1869 36 first first JJ A34005 1869 37 term term NN A34005 1869 38 . . . A34005 1870 1 And and CC A34005 1870 2 in in IN A34005 1870 3 page page NN A34005 1870 4 105 105 CD A34005 1870 5 . . . A34005 1871 1 That that IN A34005 1871 2 the the DT A34005 1871 3 Sine Sine NNP A34005 1871 4 of of IN A34005 1871 5 any any DT A34005 1871 6 Arch arch JJ A34005 1871 7 bears bear VBZ A34005 1871 8 such such JJ A34005 1871 9 proportion proportion NN A34005 1871 10 to to IN A34005 1871 11 the the DT A34005 1871 12 Secant Secant NNP A34005 1871 13 of of IN A34005 1871 14 the the DT A34005 1871 15 Complement Complement NNP A34005 1871 16 of of IN A34005 1871 17 another another DT A34005 1871 18 Ark Ark NNP A34005 1871 19 , , , A34005 1871 20 as as IN A34005 1871 21 the the DT A34005 1871 22 Rectangle Rectangle NNP A34005 1871 23 of of IN A34005 1871 24 the the DT A34005 1871 25 Sines Sines NNPS A34005 1871 26 of of IN A34005 1871 27 both both CC A34005 1871 28 those those DT A34005 1871 29 Arks Arks NNP A34005 1871 30 , , , A34005 1871 31 doth doth NN A34005 1871 32 to to IN A34005 1871 33 the the DT A34005 1871 34 Square Square NNP A34005 1871 35 of of IN A34005 1871 36 the the DT A34005 1871 37 Radius Radius NNP A34005 1871 38 . . . A34005 1872 1 Whence whence IN A34005 1872 2 it -PRON- PRP A34005 1872 3 follows follow VBZ A34005 1872 4 , , , A34005 1872 5 That that IN A34005 1872 6 , , , A34005 1872 7 As as IN A34005 1872 8 the the DT A34005 1872 9 Radius Radius NNP A34005 1872 10 , , , A34005 1872 11 Is be VBZ A34005 1872 12 to to IN A34005 1872 13 the the DT A34005 1872 14 Sine Sine NNP A34005 1872 15 of of IN A34005 1872 16 one one CD A34005 1872 17 of of IN A34005 1872 18 the the DT A34005 1872 19 sides side NNS A34005 1872 20 including include VBG A34005 1872 21 an an DT A34005 1872 22 Angle Angle NNP A34005 1872 23 , , , A34005 1872 24 So so RB A34005 1872 25 is be VBZ A34005 1872 26 the the DT A34005 1872 27 Sine Sine NNP A34005 1872 28 of of IN A34005 1872 29 the the DT A34005 1872 30 other other JJ A34005 1872 31 containing contain VBG A34005 1872 32 side side NN A34005 1872 33 , , , A34005 1872 34 To to IN A34005 1872 35 a a DT A34005 1872 36 fourth fourth JJ A34005 1872 37 Sine Sine NNP A34005 1872 38 . . . A34005 1873 1 I -PRON- PRP A34005 1873 2 say say VBP A34005 1873 3 then then RB A34005 1873 4 , , , A34005 1873 5 that that IN A34005 1873 6 this this DT A34005 1873 7 fourth fourth JJ A34005 1873 8 Sine Sine NNP A34005 1873 9 bears bear VBZ A34005 1873 10 such such JJ A34005 1873 11 Proportion proportion NN A34005 1873 12 to to IN A34005 1873 13 the the DT A34005 1873 14 Radius radius NN A34005 1873 15 , , , A34005 1873 16 as as IN A34005 1873 17 the the DT A34005 1873 18 Sine Sine NNP A34005 1873 19 of of IN A34005 1873 20 one one CD A34005 1873 21 of of IN A34005 1873 22 those those DT A34005 1873 23 including include VBG A34005 1873 24 sides side NNS A34005 1873 25 , , , A34005 1873 26 doth doth JJ A34005 1873 27 to to IN A34005 1873 28 the the DT A34005 1873 29 secant secant NN A34005 1873 30 of of IN A34005 1873 31 the the DT A34005 1873 32 Complement Complement NNP A34005 1873 33 of of IN A34005 1873 34 the the DT A34005 1873 35 other other JJ A34005 1873 36 . . . A34005 1874 1 And and CC A34005 1874 2 therefore therefore RB A34005 1874 3 , , , A34005 1874 4 when when WRB A34005 1874 5 three three CD A34005 1874 6 sides side NNS A34005 1874 7 are be VBP A34005 1874 8 given give VBN A34005 1874 9 to to TO A34005 1874 10 find find VB A34005 1874 11 an an DT A34005 1874 12 Angle angle NN A34005 1874 13 , , , A34005 1874 14 it -PRON- PRP A34005 1874 15 will will MD A34005 1874 16 hold hold VB A34005 1874 17 , , , A34005 1874 18 As as IN A34005 1874 19 the the DT A34005 1874 20 Radius Radius NNP A34005 1874 21 , , , A34005 1874 22 Is be VBZ A34005 1874 23 to to IN A34005 1874 24 the the DT A34005 1874 25 Sine Sine NNP A34005 1874 26 of of IN A34005 1874 27 one one CD A34005 1874 28 of of IN A34005 1874 29 those those DT A34005 1874 30 including include VBG A34005 1874 31 sides side NNS A34005 1874 32 , , , A34005 1874 33 So so RB A34005 1874 34 is be VBZ A34005 1874 35 the the DT A34005 1874 36 Sine Sine NNP A34005 1874 37 of of IN A34005 1874 38 the the DT A34005 1874 39 other other JJ A34005 1874 40 including include VBG A34005 1874 41 side side NN A34005 1874 42 , , , A34005 1874 43 To to IN A34005 1874 44 a a DT A34005 1874 45 fourth fourth JJ A34005 1874 46 sine sine NN A34005 1874 47 . . . A34005 1875 1 Again again RB A34005 1875 2 , , , A34005 1875 3 As as IN A34005 1875 4 that that DT A34005 1875 5 fourth fourth JJ A34005 1875 6 Sine Sine NNP A34005 1875 7 , , , A34005 1875 8 Is be VBZ A34005 1875 9 to to IN A34005 1875 10 the the DT A34005 1875 11 difference difference NN A34005 1875 12 of of IN A34005 1875 13 the the DT A34005 1875 14 Versed Versed NNP A34005 1875 15 Sines Sines NNPS A34005 1875 16 of of IN A34005 1875 17 the the DT A34005 1875 18 third third JJ A34005 1875 19 side side NN A34005 1875 20 , , , A34005 1875 21 and and CC A34005 1875 22 of of IN A34005 1875 23 the the DT A34005 1875 24 Ark Ark NNP A34005 1875 25 of of IN A34005 1875 26 difference difference NN A34005 1875 27 between between IN A34005 1875 28 the the DT A34005 1875 29 two two CD A34005 1875 30 including include VBG A34005 1875 31 sides side NNS A34005 1875 32 , , , A34005 1875 33 So so RB A34005 1875 34 is be VBZ A34005 1875 35 the the DT A34005 1875 36 Radius Radius NNP A34005 1875 37 , , , A34005 1875 38 To to IN A34005 1875 39 the the DT A34005 1875 40 Versed Versed NNP A34005 1875 41 Sine Sine NNP A34005 1875 42 of of IN A34005 1875 43 the the DT A34005 1875 44 Angle Angle NNP A34005 1875 45 sought seek VBD A34005 1875 46 . . . A34005 1876 1 And and CC A34005 1876 2 as as IN A34005 1876 3 that that DT A34005 1876 4 fourth fourth JJ A34005 1876 5 Sine Sine NNP A34005 1876 6 , , , A34005 1876 7 Is be VBZ A34005 1876 8 to to IN A34005 1876 9 the the DT A34005 1876 10 difference difference NN A34005 1876 11 of of IN A34005 1876 12 the the DT A34005 1876 13 Versed Versed NNP A34005 1876 14 Sines Sines NNPS A34005 1876 15 of of IN A34005 1876 16 the the DT A34005 1876 17 third third JJ A34005 1876 18 side side NN A34005 1876 19 , , , A34005 1876 20 and and CC A34005 1876 21 of of IN A34005 1876 22 the the DT A34005 1876 23 sum sum NN A34005 1876 24 of of IN A34005 1876 25 the the DT A34005 1876 26 two two CD A34005 1876 27 including include VBG A34005 1876 28 sides side NNS A34005 1876 29 , , , A34005 1876 30 So so RB A34005 1876 31 is be VBZ A34005 1876 32 the the DT A34005 1876 33 Radius Radius NNP A34005 1876 34 , , , A34005 1876 35 To to IN A34005 1876 36 the the DT A34005 1876 37 Versed Versed NNP A34005 1876 38 Sine Sine NNP A34005 1876 39 of of IN A34005 1876 40 the the DT A34005 1876 41 sought seek VBN A34005 1876 42 Angles Angles NNP A34005 1876 43 , , , A34005 1876 44 Complement Complement NNP A34005 1876 45 to to IN A34005 1876 46 180d 180d NNPS A34005 1876 47 , , , A34005 1876 48 or or CC A34005 1876 49 a a DT A34005 1876 50 Semicircle Semicircle NNP A34005 1876 51 . . . A34005 1877 1 Thus thus RB A34005 1877 2 we -PRON- PRP A34005 1877 3 are be VBP A34005 1877 4 freed free VBN A34005 1877 5 from from IN A34005 1877 6 a a DT A34005 1877 7 Secant secant NN A34005 1877 8 in in IN A34005 1877 9 the the DT A34005 1877 10 two two CD A34005 1877 11 first first JJ A34005 1877 12 terms term NNS A34005 1877 13 of of IN A34005 1877 14 3 3 CD A34005 1877 15 several several JJ A34005 1877 16 Proportions proportion NNS A34005 1877 17 that that WDT A34005 1877 18 find find VBP A34005 1877 19 〈 〈 NNS A34005 1877 20 … … NFP A34005 1877 21 〉 〉 NNP A34005 1877 22 Hour Hour NNP A34005 1877 23 and and CC A34005 1877 24 Azimuth Azimuth NNP A34005 1877 25 : : : A34005 1877 26 All all DT A34005 1877 27 which which WDT A34005 1877 28 I -PRON- PRP A34005 1877 29 shall shall MD A34005 1877 30 further further RB A34005 1877 31 confirm confirm VB A34005 1877 32 from from IN A34005 1877 33 the the DT A34005 1877 34 Analemma Analemma NNP A34005 1877 35 , , , A34005 1877 36 and and CC A34005 1877 37 then then RB A34005 1877 38 proceed proceed VB A34005 1877 39 to to IN A34005 1877 40 Application Application NNP A34005 1877 41 , , , A34005 1877 42 in in IN A34005 1877 43 the the DT A34005 1877 44 Scheme Scheme NNP A34005 1877 45 annexed annexed NNS A34005 1877 46 . . . A34005 1878 1 Proportions proportion NNS A34005 1878 2 in in IN A34005 1878 3 the the DT A34005 1878 4 Analemma Analemma NNP A34005 1878 5 . . . A34005 1879 1 UPon upon IN A34005 1879 2 the the DT A34005 1879 3 Center Center NNP A34005 1879 4 C C NNP A34005 1879 5 , , , A34005 1879 6 draw draw VB A34005 1879 7 a a DT A34005 1879 8 Circle Circle NNP A34005 1879 9 , , , A34005 1879 10 and and CC A34005 1879 11 let let VB A34005 1879 12 N n NN A34005 1879 13 C c NN A34005 1879 14 be be VB A34005 1879 15 the the DT A34005 1879 16 Axis Axis NNP A34005 1879 17 of of IN A34005 1879 18 the the DT A34005 1879 19 Horizon Horizon NNP A34005 1879 20 , , , A34005 1879 21 and and CC A34005 1879 22 E e NN A34005 1879 23 P p NN A34005 1879 24 the the DT A34005 1879 25 Axis Axis NNP A34005 1879 26 of of IN A34005 1879 27 the the DT A34005 1879 28 World World NNP A34005 1879 29 , , , A34005 1879 30 AE AE NNP A34005 1879 31 C C NNP A34005 1879 32 the the DT A34005 1879 33 Equator equator NN A34005 1879 34 , , , A34005 1879 35 ☉ ☉ NNP A34005 1879 36 F F NNP A34005 1879 37 and and CC A34005 1879 38 Z Z NNP A34005 1879 39 Y Y NNP A34005 1879 40 two two CD A34005 1879 41 Parallels Parallels NNPS A34005 1879 42 of of IN A34005 1879 43 Declination declination NN A34005 1879 44 on on IN A34005 1879 45 each each DT A34005 1879 46 side side NN A34005 1879 47 the the DT A34005 1879 48 Equator equator NN A34005 1879 49 , , , A34005 1879 50 alike alike RB A34005 1879 51 equidistant equidistant NN A34005 1879 52 , , , A34005 1879 53 S S NNP A34005 1879 54 G g NN A34005 1879 55 the the DT A34005 1879 56 parallel parallel NN A34005 1879 57 of of IN A34005 1879 58 Altitude altitude NN A34005 1879 59 at at IN A34005 1879 60 6 6 CD A34005 1879 61 , , , A34005 1879 62 and and CC A34005 1879 63 D d NN A34005 1879 64 E e NN A34005 1879 65 F f NN A34005 1879 66 the the DT A34005 1879 67 parallel parallel NN A34005 1879 68 of of IN A34005 1879 69 Depression depression NN A34005 1879 70 at at IN A34005 1879 71 6 6 CD A34005 1879 72 ; ; : A34005 1879 73 draw draw VB A34005 1879 74 a a DT A34005 1879 75 parallel parallel NN A34005 1879 76 of of IN A34005 1879 77 Altitude altitude NN A34005 1879 78 less less RBR A34005 1879 79 then then RB A34005 1879 80 the the DT A34005 1879 81 Altitude altitude NN A34005 1879 82 at at IN A34005 1879 83 6 6 CD A34005 1879 84 V v NN A34005 1879 85 R r NN A34005 1879 86 , , , A34005 1879 87 and and CC A34005 1879 88 another another DT A34005 1879 89 greater great JJR A34005 1879 90 M M NNP A34005 1879 91 N N NNP A34005 1879 92 continued continue VBD A34005 1879 93 ; ; : A34005 1879 94 also also RB A34005 1879 95 a a DT A34005 1879 96 parallel parallel NN A34005 1879 97 of of IN A34005 1879 98 Depression depression NN A34005 1879 99 less less RBR A34005 1879 100 then then RB A34005 1879 101 the the DT A34005 1879 102 Depression Depression NNP A34005 1879 103 at at IN A34005 1879 104 6 6 CD A34005 1879 105 W W NNP A34005 1879 106 P P NNP A34005 1879 107 , , , A34005 1879 108 and and CC A34005 1879 109 another another DT A34005 1879 110 greater great JJR A34005 1879 111 X x NN A34005 1879 112 Y Y NNP A34005 1879 113 , , , A34005 1879 114 and and CC A34005 1879 115 there there EX A34005 1879 116 will will MD A34005 1879 117 be be VB A34005 1879 118 constituted constitute VBN A34005 1879 119 diverse diverse JJ A34005 1879 120 right right RB A34005 1879 121 lined line VBN A34005 1879 122 , , , A34005 1879 123 right right RB A34005 1879 124 angled angle VBN A34005 1879 125 Triangles Triangles NNP A34005 1879 126 , , , A34005 1879 127 relating relate VBG A34005 1879 128 to to IN A34005 1879 129 the the DT A34005 1879 130 motion motion NN A34005 1879 131 of of IN A34005 1879 132 the the DT A34005 1879 133 Sun Sun NNP A34005 1879 134 or or CC A34005 1879 135 Stars Stars NNP A34005 1879 136 , , , A34005 1879 137 in in IN A34005 1879 138 which which WDT A34005 1879 139 it -PRON- PRP A34005 1879 140 will will MD A34005 1879 141 hold hold VB A34005 1879 142 . . . A34005 1880 1 As as IN A34005 1880 2 Radius Radius NNP A34005 1880 3 is be VBZ A34005 1880 4 to to IN A34005 1880 5 the the DT A34005 1880 6 Cosine Cosine NNP A34005 1880 7 of of IN A34005 1880 8 the the DT A34005 1880 9 Declination Declination NNP A34005 1880 10 , , , A34005 1880 11 So so RB A34005 1880 12 is be VBZ A34005 1880 13 the the DT A34005 1880 14 Cosine Cosine NNP A34005 1880 15 of of IN A34005 1880 16 the the DT A34005 1880 17 Latitude Latitude NNP A34005 1880 18 To to IN A34005 1880 19 a a DT A34005 1880 20 fourth fourth NN A34005 1880 21 . . . A34005 1881 1 Namely namely RB A34005 1881 2 the the DT A34005 1881 3 difference difference NN A34005 1881 4 of of IN A34005 1881 5 the the DT A34005 1881 6 Sines Sines NNPS A34005 1881 7 of of IN A34005 1881 8 the the DT A34005 1881 9 Meridian Meridian NNP A34005 1881 10 Altitude Altitude NNP A34005 1881 11 , , , A34005 1881 12 and and CC A34005 1881 13 Altitude altitude NN A34005 1881 14 at at IN A34005 1881 15 6 6 CD A34005 1881 16 in in IN A34005 1881 17 Summer Summer NNP A34005 1881 18 , , , A34005 1881 19 equal equal JJ A34005 1881 20 to to IN A34005 1881 21 the the DT A34005 1881 22 Sum Sum NNP A34005 1881 23 of of IN A34005 1881 24 the the DT A34005 1881 25 Sines Sines NNPS A34005 1881 26 of of IN A34005 1881 27 the the DT A34005 1881 28 Meridian Meridian NNP A34005 1881 29 Altitude Altitude NNP A34005 1881 30 and and CC A34005 1881 31 Depression Depression NNP A34005 1881 32 at at IN A34005 1881 33 6 6 CD A34005 1881 34 in in IN A34005 1881 35 Winter Winter NNP A34005 1881 36 , , , A34005 1881 37 which which WDT A34005 1881 38 is be VBZ A34005 1881 39 equal equal JJ A34005 1881 40 to to IN A34005 1881 41 the the DT A34005 1881 42 sum sum NN A34005 1881 43 of of IN A34005 1881 44 the the DT A34005 1881 45 Sines Sines NNPS A34005 1881 46 of of IN A34005 1881 47 the the DT A34005 1881 48 midnight midnight NN A34005 1881 49 Depression Depression NNP A34005 1881 50 and and CC A34005 1881 51 Altitude Altitude NNP A34005 1881 52 at at IN A34005 1881 53 6 6 CD A34005 1881 54 in in IN A34005 1881 55 Summer Summer NNP A34005 1881 56 . . . A34005 1882 1 A a DT A34005 1882 2 : : : A34005 1882 3 B b NN A34005 1882 4 ☉ ☉ NNS A34005 1882 5 ∷ ∷ NNP A34005 1882 6 B b NN A34005 1882 7 : : : A34005 1882 8 A a DT A34005 1882 9 ☉ ☉ NNS A34005 1882 10 . . . A34005 1883 1 Again again RB A34005 1883 2 the the DT A34005 1883 3 same same JJ A34005 1883 4 , , , A34005 1883 5 As as IN A34005 1883 6 D d NN A34005 1883 7 : : : A34005 1883 8 S s NN A34005 1883 9 E e NN A34005 1883 10 ∷ ∷ NN A34005 1883 11 E e NN A34005 1883 12 : : : A34005 1883 13 D D NNP A34005 1883 14 S S NNP A34005 1883 15 Again again RB A34005 1883 16 the the DT A34005 1883 17 same same JJ A34005 1883 18 — — : A34005 1883 19 G g NN A34005 1883 20 : : : A34005 1883 21 B B NNP A34005 1883 22 F f NN A34005 1883 23 ∷ ∷ NN A34005 1883 24 B b NN A34005 1883 25 : : : A34005 1883 26 F F NNP A34005 1883 27 G. G. NNP A34005 1883 28 As as IN A34005 1883 29 that that DT A34005 1883 30 fourth fourth JJ A34005 1883 31 is be VBZ A34005 1883 32 to to IN A34005 1883 33 the the DT A34005 1883 34 Radius Radius NNP A34005 1883 35 , , , A34005 1883 36 So so RB A34005 1883 37 is be VBZ A34005 1883 38 the the DT A34005 1883 39 Sine Sine NNP A34005 1883 40 of of IN A34005 1883 41 the the DT A34005 1883 42 Meridian Meridian NNP A34005 1883 43 Altitude Altitude NNP A34005 1883 44 , , , A34005 1883 45 To to IN A34005 1883 46 the the DT A34005 1883 47 Versed Versed NNP A34005 1883 48 Sine Sine NNP A34005 1883 49 of of IN A34005 1883 50 the the DT A34005 1883 51 Semidiurnal Semidiurnal NNP A34005 1883 52 Ark Ark NNP A34005 1883 53 A A NNP A34005 1883 54 ☉ ☉ NNPS A34005 1883 55 : : : A34005 1883 56 ☉ ☉ NNP A34005 1883 57 B B NNP A34005 1883 58 ∷ ∷ NN A34005 1883 59 ☉ ☉ VBZ A34005 1883 60 I -PRON- PRP A34005 1883 61 : : : A34005 1883 62 ☉ ☉ NNP A34005 1883 63 K. K. NNP A34005 1883 64 The the DT A34005 1883 65 two two CD A34005 1883 66 first first JJ A34005 1883 67 terms term NNS A34005 1883 68 are be VBP A34005 1883 69 common common JJ A34005 1883 70 to to IN A34005 1883 71 all all PDT A34005 1883 72 the the DT A34005 1883 73 rest rest NN A34005 1883 74 of of IN A34005 1883 75 the the DT A34005 1883 76 following follow VBG A34005 1883 77 Proportions Proportions NNP A34005 1883 78 . . . A34005 1884 1 And and CC A34005 1884 2 so so RB A34005 1884 3 is be VBZ A34005 1884 4 the the DT A34005 1884 5 Sine Sine NNP A34005 1884 6 of of IN A34005 1884 7 the the DT A34005 1884 8 midnight midnight NN A34005 1884 9 Depression depression NN A34005 1884 10 , , , A34005 1884 11 To to IN A34005 1884 12 the the DT A34005 1884 13 Versed Versed NNP A34005 1884 14 Sine Sine NNP A34005 1884 15 of of IN A34005 1884 16 the the DT A34005 1884 17 Seminocturnal Seminocturnal NNP A34005 1884 18 Ark. Arkansas NNP A34005 1885 1 G G NNP A34005 1885 2 F F NNP A34005 1885 3 : : : A34005 1885 4 B B NNP A34005 1885 5 F F NNP A34005 1885 6 ∷ ∷ NNP A34005 1885 7 F F NNP A34005 1885 8 L L NNP A34005 1885 9 to to IN A34005 1885 10 K K NNP A34005 1885 11 F. F. NNP A34005 1885 12 And and CC A34005 1885 13 so so RB A34005 1885 14 is be VBZ A34005 1885 15 the the DT A34005 1885 16 Sine Sine NNP A34005 1885 17 of of IN A34005 1885 18 the the DT A34005 1885 19 Altitude altitude NN A34005 1885 20 , , , A34005 1885 21 To to IN A34005 1885 22 the the DT A34005 1885 23 difference difference NN A34005 1885 24 of of IN A34005 1885 25 the the DT A34005 1885 26 Versed Versed NNP A34005 1885 27 Sines Sines NNPS A34005 1885 28 of of IN A34005 1885 29 the the DT A34005 1885 30 Semidiurnal Semidiurnal NNP A34005 1885 31 Ark Ark NNP A34005 1885 32 and and CC A34005 1885 33 Hour Hour NNP A34005 1885 34 sought seek VBD A34005 1885 35 from from IN A34005 1885 36 Noon Noon NNP A34005 1885 37 , , , A34005 1885 38 ☉ ☉ VBZ A34005 1885 39 A a NN A34005 1885 40 : : : A34005 1885 41 B b NN A34005 1885 42 ☉ ☉ NNS A34005 1885 43 ∷ ∷ UH A34005 1885 44 I i NN A34005 1885 45 M m NN A34005 1885 46 : : : A34005 1885 47 K K NNP A34005 1885 48 N. N. NNP A34005 1885 49 And and CC A34005 1885 50 so so RB A34005 1885 51 is be VBZ A34005 1885 52 the the DT A34005 1885 53 Sine Sine NNP A34005 1885 54 of of IN A34005 1885 55 the the DT A34005 1885 56 Depression Depression NNP A34005 1885 57 , , , A34005 1885 58 To to IN A34005 1885 59 the the DT A34005 1885 60 difference difference NN A34005 1885 61 of of IN A34005 1885 62 the the DT A34005 1885 63 Versed Versed NNP A34005 1885 64 Sines Sines NNPS A34005 1885 65 of of IN A34005 1885 66 the the DT A34005 1885 67 Seminocturnal Seminocturnal NNP A34005 1885 68 Ark Ark NNP A34005 1885 69 , , , A34005 1885 70 and and CC A34005 1885 71 of of IN A34005 1885 72 the the DT A34005 1885 73 hour hour NN A34005 1885 74 from from IN A34005 1885 75 Midnight Midnight NNP A34005 1885 76 , , , A34005 1885 77 F F NNP A34005 1885 78 G g NN A34005 1885 79 : : : A34005 1885 80 F F NNP A34005 1885 81 B B NNP A34005 1885 82 ∷ ∷ NNP A34005 1885 83 P p NN A34005 1885 84 L l NN A34005 1885 85 : : : A34005 1885 86 K K NNP A34005 1885 87 O o UH A34005 1885 88 And and CC A34005 1885 89 so so RB A34005 1885 90 is be VBZ A34005 1885 91 the the DT A34005 1885 92 difference difference NN A34005 1885 93 of of IN A34005 1885 94 the the DT A34005 1885 95 Sines Sines NNPS A34005 1885 96 of of IN A34005 1885 97 the the DT A34005 1885 98 Suns Suns NNPS A34005 1885 99 Meridian Meridian NNP A34005 1885 100 , , , A34005 1885 101 and and CC A34005 1885 102 given give VBN A34005 1885 103 Altitude altitude NN A34005 1885 104 , , , A34005 1885 105 To to IN A34005 1885 106 the the DT A34005 1885 107 Versed Versed NNP A34005 1885 108 Sine Sine NNP A34005 1885 109 of of IN A34005 1885 110 the the DT A34005 1885 111 hour hour NN A34005 1885 112 from from IN A34005 1885 113 Noon Noon NNP A34005 1885 114 , , , A34005 1885 115 ☉ ☉ NNP A34005 1885 116 A a NN A34005 1885 117 : : : A34005 1885 118 ☉ ☉ NNP A34005 1885 119 B B NNP A34005 1885 120 ∷ ∷ NN A34005 1885 121 ☉ ☉ NNP A34005 1885 122 M m NN A34005 1885 123 : : : A34005 1885 124 ☉ ☉ NNP A34005 1885 125 N. N. NNP A34005 1885 126 If if IN A34005 1885 127 the the DT A34005 1885 128 Sun Sun NNP A34005 1885 129 have have VBP A34005 1885 130 Depression Depression NNP A34005 1885 131 , , , A34005 1885 132 So so RB A34005 1885 133 is be VBZ A34005 1885 134 the the DT A34005 1885 135 sum sum NN A34005 1885 136 of of IN A34005 1885 137 the the DT A34005 1885 138 Sines Sines NNPS A34005 1885 139 of of IN A34005 1885 140 the the DT A34005 1885 141 Suns Suns NNP A34005 1885 142 Meridian Meridian NNP A34005 1885 143 Altitude Altitude NNP A34005 1885 144 , , , A34005 1885 145 and and CC A34005 1885 146 proposed propose VBN A34005 1885 147 Depression Depression NNP A34005 1885 148 , , , A34005 1885 149 To to IN A34005 1885 150 the the DT A34005 1885 151 Versed Versed NNP A34005 1885 152 Sine Sine NNP A34005 1885 153 of of IN A34005 1885 154 the the DT A34005 1885 155 hour hour NN A34005 1885 156 from from IN A34005 1885 157 Noon Noon NNP A34005 1885 158 , , , A34005 1885 159 A a DT A34005 1885 160 ☉ ☉ NNS A34005 1885 161 : : : A34005 1885 162 ☉ ☉ NNP A34005 1885 163 B B NNP A34005 1885 164 ∷ ∷ NN A34005 1885 165 ☉ ☉ NNP A34005 1885 166 Q q NN A34005 1885 167 : : : A34005 1885 168 ☉ ☉ NNP A34005 1885 169 O. O. NNP A34005 1886 1 And and CC A34005 1886 2 so so RB A34005 1886 3 is be VBZ A34005 1886 4 the the DT A34005 1886 5 difference difference NN A34005 1886 6 of of IN A34005 1886 7 the the DT A34005 1886 8 Sines Sines NNPS A34005 1886 9 of of IN A34005 1886 10 the the DT A34005 1886 11 Midnight Midnight NNP A34005 1886 12 and and CC A34005 1886 13 propose propose VB A34005 1886 14 Depression depression NN A34005 1886 15 , , , A34005 1886 16 To to IN A34005 1886 17 the the DT A34005 1886 18 Versed Versed NNP A34005 1886 19 Sine Sine NNP A34005 1886 20 of of IN A34005 1886 21 the the DT A34005 1886 22 hour hour NN A34005 1886 23 from from IN A34005 1886 24 Midnight Midnight NNP A34005 1886 25 , , , A34005 1886 26 F F NNP A34005 1886 27 G g NN A34005 1886 28 : : : A34005 1886 29 F F NNP A34005 1886 30 B B NNP A34005 1886 31 ∷ ∷ NNP A34005 1886 32 P P NNP A34005 1886 33 F f NN A34005 1886 34 : : : A34005 1886 35 O o UH A34005 1886 36 F. F. NNP A34005 1886 37 But but CC A34005 1886 38 supposing suppose VBG A34005 1886 39 the the DT A34005 1886 40 Sun Sun NNP A34005 1886 41 to to TO A34005 1886 42 have have VB A34005 1886 43 Altitude altitude NN A34005 1886 44 , , , A34005 1886 45 retaining retain VBG A34005 1886 46 still still RB A34005 1886 47 the the DT A34005 1886 48 two two CD A34005 1886 49 first first JJ A34005 1886 50 terms term NNS A34005 1886 51 , , , A34005 1886 52 it -PRON- PRP A34005 1886 53 holds hold VBZ A34005 1886 54 . . . A34005 1887 1 And and CC A34005 1887 2 so so RB A34005 1887 3 is be VBZ A34005 1887 4 the the DT A34005 1887 5 sum sum NN A34005 1887 6 of of IN A34005 1887 7 the the DT A34005 1887 8 Sines Sines NNPS A34005 1887 9 of of IN A34005 1887 10 the the DT A34005 1887 11 Midnight Midnight NNP A34005 1887 12 Depression Depression NNP A34005 1887 13 and and CC A34005 1887 14 given give VBN A34005 1887 15 Altitude altitude NN A34005 1887 16 , , , A34005 1887 17 To to IN A34005 1887 18 the the DT A34005 1887 19 Versed Versed NNP A34005 1887 20 Sine Sine NNP A34005 1887 21 of of IN A34005 1887 22 the the DT A34005 1887 23 hour hour NN A34005 1887 24 from from IN A34005 1887 25 Midnight Midnight NNP A34005 1887 26 . . . A34005 1888 1 F F NNP A34005 1888 2 G g NN A34005 1888 3 : : : A34005 1888 4 F F NNP A34005 1888 5 B B NNP A34005 1888 6 ∷ ∷ NNP A34005 1888 7 F F NNP A34005 1888 8 R r NN A34005 1888 9 : : : A34005 1888 10 F F NNP A34005 1888 11 S. S. NNP A34005 1888 12 And and CC A34005 1888 13 so so RB A34005 1888 14 is be VBZ A34005 1888 15 the the DT A34005 1888 16 Sine Sine NNP A34005 1888 17 of of IN A34005 1888 18 the the DT A34005 1888 19 Altitude altitude NN A34005 1888 20 , , , A34005 1888 21 or or CC A34005 1888 22 Depression depression NN A34005 1888 23 at at IN A34005 1888 24 six six CD A34005 1888 25 , , , A34005 1888 26 To to IN A34005 1888 27 the the DT A34005 1888 28 Sine Sine NNP A34005 1888 29 of of IN A34005 1888 30 the the DT A34005 1888 31 Ascensional ascensional JJ A34005 1888 32 difference difference NN A34005 1888 33 , , , A34005 1888 34 A a DT A34005 1888 35 ☉ ☉ NNS A34005 1888 36 : : : A34005 1888 37 ☉ ☉ NNP A34005 1888 38 B B NNP A34005 1888 39 ∷ ∷ NN A34005 1888 40 A a NN A34005 1888 41 I i NN A34005 1888 42 : : : A34005 1888 43 B b NN A34005 1888 44 - - HYPH A34005 1888 45 K. k. NN A34005 1889 1 In in IN A34005 1889 2 Summer summer NN A34005 1889 3 , , , A34005 1889 4 if if IN A34005 1889 5 the the DT A34005 1889 6 Sun Sun NNP A34005 1889 7 have have VBP A34005 1889 8 Altitude altitude NN A34005 1889 9 , , , A34005 1889 10 So so RB A34005 1889 11 is be VBZ A34005 1889 12 the the DT A34005 1889 13 difference difference NN A34005 1889 14 of of IN A34005 1889 15 the the DT A34005 1889 16 Sines Sines NNPS A34005 1889 17 of of IN A34005 1889 18 the the DT A34005 1889 19 Altitude altitude NN A34005 1889 20 at at IN A34005 1889 21 six six CD A34005 1889 22 , , , A34005 1889 23 and and CC A34005 1889 24 of of IN A34005 1889 25 the the DT A34005 1889 26 given give VBN A34005 1889 27 Altitude altitude NN A34005 1889 28 , , , A34005 1889 29 To to IN A34005 1889 30 the the DT A34005 1889 31 Sine Sine NNP A34005 1889 32 of of IN A34005 1889 33 the the DT A34005 1889 34 hour hour NN A34005 1889 35 from from IN A34005 1889 36 six six CD A34005 1889 37 , , , A34005 1889 38 towards towards IN A34005 1889 39 Noon Noon NNP A34005 1889 40 , , , A34005 1889 41 if if IN A34005 1889 42 the the DT A34005 1889 43 given give VBN A34005 1889 44 Altitude altitude NN A34005 1889 45 be be VB A34005 1889 46 greater great JJR A34005 1889 47 then then RB A34005 1889 48 the the DT A34005 1889 49 Altitude altitude NN A34005 1889 50 at at IN A34005 1889 51 six six CD A34005 1889 52 , , , A34005 1889 53 otherwise otherwise RB A34005 1889 54 towards towards IN A34005 1889 55 Midnight Midnight NNP A34005 1889 56 . . . A34005 1890 1 A a DT A34005 1890 2 ☉ ☉ NNS A34005 1890 3 : : : A34005 1890 4 ☉ ☉ NNP A34005 1890 5 B B NNP A34005 1890 6 ∷ ∷ NNP A34005 1890 7 A a NN A34005 1890 8 M m NN A34005 1890 9 : : : A34005 1890 10 B B NNP A34005 1890 11 N. N. NNP A34005 1890 12 Also also RB A34005 1890 13 A a NN A34005 1890 14 ☉ ☉ NN A34005 1890 15 : : : A34005 1890 16 ☉ ☉ NNP A34005 1890 17 B B NNP A34005 1890 18 ∷ ∷ NNP A34005 1890 19 A a NN A34005 1890 20 T t NN A34005 1890 21 : : : A34005 1890 22 B B NNP A34005 1890 23 S. S. NNP A34005 1890 24 If if IN A34005 1890 25 he -PRON- PRP A34005 1890 26 have have VBP A34005 1890 27 Depression Depression NNP A34005 1890 28 , , , A34005 1890 29 So so RB A34005 1890 30 is be VBZ A34005 1890 31 the the DT A34005 1890 32 sum sum NN A34005 1890 33 of of IN A34005 1890 34 the the DT A34005 1890 35 Sines Sines NNPS A34005 1890 36 of of IN A34005 1890 37 the the DT A34005 1890 38 Altitude altitude NN A34005 1890 39 at at IN A34005 1890 40 six six CD A34005 1890 41 , , , A34005 1890 42 and and CC A34005 1890 43 the the DT A34005 1890 44 given give VBN A34005 1890 45 Depression Depression NNP A34005 1890 46 , , , A34005 1890 47 To to IN A34005 1890 48 the the DT A34005 1890 49 Sine Sine NNP A34005 1890 50 of of IN A34005 1890 51 the the DT A34005 1890 52 Hour Hour NNP A34005 1890 53 from from IN A34005 1890 54 six six CD A34005 1890 55 , , , A34005 1890 56 towards towards IN A34005 1890 57 Midnight Midnight NNP A34005 1890 58 . . . A34005 1891 1 A a DT A34005 1891 2 ☉ ☉ NNS A34005 1891 3 : : : A34005 1891 4 ☉ ☉ NNP A34005 1891 5 B B NNP A34005 1891 6 ∷ ∷ NN A34005 1891 7 A A NNP A34005 1891 8 Q q NN A34005 1891 9 : : : A34005 1891 10 B b NN A34005 1891 11 O. o. NN A34005 1892 1 In in IN A34005 1892 2 Winter Winter NNP A34005 1892 3 , , , A34005 1892 4 if if IN A34005 1892 5 the the DT A34005 1892 6 Sun Sun NNP A34005 1892 7 have have VBP A34005 1892 8 Altitude altitude NN A34005 1892 9 : : : A34005 1892 10 So so RB A34005 1892 11 is be VBZ A34005 1892 12 the the DT A34005 1892 13 the the DT A34005 1892 14 sum sum NN A34005 1892 15 of of IN A34005 1892 16 the the DT A34005 1892 17 Sines Sines NNPS A34005 1892 18 of of IN A34005 1892 19 his -PRON- PRP$ A34005 1892 20 Depression Depression NNP A34005 1892 21 at at IN A34005 1892 22 6 6 CD A34005 1892 23 , , , A34005 1892 24 and and CC A34005 1892 25 of of IN A34005 1892 26 his -PRON- PRP$ A34005 1892 27 given give VBN A34005 1892 28 Altitude altitude NN A34005 1892 29 , , , A34005 1892 30 To to IN A34005 1892 31 the the DT A34005 1892 32 Sine Sine NNP A34005 1892 33 of of IN A34005 1892 34 the the DT A34005 1892 35 hour hour NN A34005 1892 36 from from IN A34005 1892 37 6 6 CD A34005 1892 38 toward toward IN A34005 1892 39 Noon Noon NNP A34005 1892 40 , , , A34005 1892 41 S S NNP A34005 1892 42 D d NN A34005 1892 43 : : : A34005 1892 44 S s NN A34005 1892 45 E e NN A34005 1892 46 ∷ ∷ NN A34005 1892 47 D d NN A34005 1892 48 V v NN A34005 1892 49 : : : A34005 1892 50 Z Z NNP A34005 1892 51 E. E. NNP A34005 1892 52 If if IN A34005 1892 53 he -PRON- PRP A34005 1892 54 have have VBP A34005 1892 55 Depression depression NN A34005 1892 56 . . . A34005 1893 1 So so RB A34005 1893 2 is be VBZ A34005 1893 3 the the DT A34005 1893 4 difference difference NN A34005 1893 5 of of IN A34005 1893 6 the the DT A34005 1893 7 Sines Sines NNPS A34005 1893 8 of of IN A34005 1893 9 his -PRON- PRP$ A34005 1893 10 Depression Depression NNP A34005 1893 11 at at IN A34005 1893 12 6 6 CD A34005 1893 13 , , , A34005 1893 14 and and CC A34005 1893 15 of of IN A34005 1893 16 has have VBZ A34005 1893 17 given give VBN A34005 1893 18 Depression depression NN A34005 1893 19 . . . A34005 1894 1 To to IN A34005 1894 2 the the DT A34005 1894 3 Sine Sine NNP A34005 1894 4 of of IN A34005 1894 5 the the DT A34005 1894 6 hour hour NN A34005 1894 7 from from IN A34005 1894 8 6 6 CD A34005 1894 9 towards towards IN A34005 1894 10 Noon Noon NNP A34005 1894 11 , , , A34005 1894 12 when when WRB A34005 1894 13 the the DT A34005 1894 14 Depression Depression NNP A34005 1894 15 is be VBZ A34005 1894 16 less less JJR A34005 1894 17 then then RB A34005 1894 18 the the DT A34005 1894 19 Depression Depression NNP A34005 1894 20 at at IN A34005 1894 21 6 6 CD A34005 1894 22 , , , A34005 1894 23 otherways otherway NNS A34005 1894 24 towards towards IN A34005 1894 25 Midnight Midnight NNP A34005 1894 26 . . . A34005 1895 1 S S NNP A34005 1895 2 D d NN A34005 1895 3 : : : A34005 1895 4 S s NN A34005 1895 5 E e NN A34005 1895 6 ∷ ∷ NN A34005 1895 7 W w NN A34005 1895 8 D d NN A34005 1895 9 : : : A34005 1895 10 Q q NN A34005 1895 11 E. e. NN A34005 1895 12 S s NN A34005 1895 13 D d NN A34005 1895 14 : : : A34005 1895 15 S s NN A34005 1895 16 E e NN A34005 1895 17 ∷ ∷ NN A34005 1895 18 D d NN A34005 1895 19 X x NN A34005 1895 20 : : : A34005 1895 21 E e NN A34005 1895 22 Y. y. NN A34005 1896 1 When when WRB A34005 1896 2 two two CD A34005 1896 3 terms term NNS A34005 1896 4 of of IN A34005 1896 5 a a DT A34005 1896 6 Proportion proportion NN A34005 1896 7 happen happen VB A34005 1896 8 in in IN A34005 1896 9 the the DT A34005 1896 10 common common JJ A34005 1896 11 Radius Radius NNP A34005 1896 12 , , , A34005 1896 13 and and CC A34005 1896 14 two two CD A34005 1896 15 in in IN A34005 1896 16 a a DT A34005 1896 17 Parallel Parallel NNP A34005 1896 18 , , , A34005 1896 19 there there EX A34005 1896 20 needs need VBZ A34005 1896 21 no no DT A34005 1896 22 Reduction reduction NN A34005 1896 23 . . . A34005 1897 1 In in IN A34005 1897 2 Latitudes Latitudes NNP A34005 1897 3 nearer nearer VBP A34005 1897 4 the the DT A34005 1897 5 Poles Poles NNPS A34005 1897 6 then then RB A34005 1897 7 the the DT A34005 1897 8 Polar Polar NNP A34005 1897 9 Circles Circles NNPS A34005 1897 10 , , , A34005 1897 11 the the DT A34005 1897 12 Semidiurnal Semidiurnal NNP A34005 1897 13 Arks Arks NNP A34005 1897 14 , , , A34005 1897 15 when when WRB A34005 1897 16 the the DT A34005 1897 17 Declination Declination NNP A34005 1897 18 is be VBZ A34005 1897 19 towards towards IN A34005 1897 20 the the DT A34005 1897 21 Elevated Elevated NNP A34005 1897 22 Pole Pole NNP A34005 1897 23 , , , A34005 1897 24 will will MD A34005 1897 25 be be VB A34005 1897 26 more more JJR A34005 1897 27 then then RB A34005 1897 28 the the DT A34005 1897 29 Diameters Diameters NNPS A34005 1897 30 of of IN A34005 1897 31 their -PRON- PRP$ A34005 1897 32 Parallels Parallels NNPS A34005 1897 33 ; ; : A34005 1897 34 in in IN A34005 1897 35 that that DT A34005 1897 36 case case NN A34005 1897 37 , , , A34005 1897 38 the the DT A34005 1897 39 difference difference NN A34005 1897 40 , , , A34005 1897 41 is be VBZ A34005 1897 42 the the DT A34005 1897 43 difference difference NN A34005 1897 44 of of IN A34005 1897 45 the the DT A34005 1897 46 Versed Versed NNP A34005 1897 47 Sine Sine NNP A34005 1897 48 of of IN A34005 1897 49 the the DT A34005 1897 50 Hour Hour NNP A34005 1897 51 , , , A34005 1897 52 and and CC A34005 1897 53 of of IN A34005 1897 54 the the DT A34005 1897 55 fourth fourth JJ A34005 1897 56 Proportional Proportional NNP A34005 1897 57 , , , A34005 1897 58 found find VBN A34005 1897 59 by by IN A34005 1897 60 the the DT A34005 1897 61 Proportion proportion NN A34005 1897 62 that that WDT A34005 1897 63 finds find VBZ A34005 1897 64 the the DT A34005 1897 65 Semidiurnal Semidiurnal NNP A34005 1897 66 Ark. Arkansas NNP A34005 1898 1 General General NNP A34005 1898 2 Proportions Proportions NNP A34005 1898 3 for for IN A34005 1898 4 the the DT A34005 1898 5 Hour Hour NNP A34005 1898 6 . . . A34005 1899 1 The the DT A34005 1899 2 Proportion Proportion NNP A34005 1899 3 selected select VBN A34005 1899 4 for for IN A34005 1899 5 the the DT A34005 1899 6 Hour Hour NNP A34005 1899 7 is be VBZ A34005 1899 8 , , , A34005 1899 9 As as IN A34005 1899 10 the the DT A34005 1899 11 Radius Radius NNP A34005 1899 12 , , , A34005 1899 13 Is be VBZ A34005 1899 14 to to IN A34005 1899 15 the the DT A34005 1899 16 Cosine Cosine NNP A34005 1899 17 of of IN A34005 1899 18 the the DT A34005 1899 19 Latitude Latitude NNP A34005 1899 20 , , , A34005 1899 21 So so RB A34005 1899 22 is be VBZ A34005 1899 23 the the DT A34005 1899 24 Cosine Cosine NNP A34005 1899 25 of of IN A34005 1899 26 the the DT A34005 1899 27 Declination Declination NNP A34005 1899 28 , , , A34005 1899 29 To to IN A34005 1899 30 a a DT A34005 1899 31 fourth fourth JJ A34005 1899 32 : : : A34005 1899 33 Namely namely RB A34005 1899 34 , , , A34005 1899 35 the the DT A34005 1899 36 difference difference NN A34005 1899 37 of of IN A34005 1899 38 the the DT A34005 1899 39 Sines Sines NNPS A34005 1899 40 of of IN A34005 1899 41 the the DT A34005 1899 42 Meridian Meridian NNP A34005 1899 43 Altitude Altitude NNP A34005 1899 44 , , , A34005 1899 45 and and CC A34005 1899 46 of of IN A34005 1899 47 the the DT A34005 1899 48 Altitude Altitude NNP A34005 1899 49 at at IN A34005 1899 50 6 6 CD A34005 1899 51 . . . A34005 1900 1 Again again RB A34005 1900 2 , , , A34005 1900 3 1 1 CD A34005 1900 4 . . . A34005 1901 1 As as IN A34005 1901 2 that that DT A34005 1901 3 fourth fourth JJ A34005 1901 4 , , , A34005 1901 5 Is be VBZ A34005 1901 6 to to IN A34005 1901 7 the the DT A34005 1901 8 Radius Radius NNP A34005 1901 9 , , , A34005 1901 10 So so CC A34005 1901 11 in in IN A34005 1901 12 Summer Summer NNP A34005 1901 13 , , , A34005 1901 14 is be VBZ A34005 1901 15 the the DT A34005 1901 16 difference difference NN A34005 1901 17 ; ; : A34005 1901 18 but but CC A34005 1901 19 in in IN A34005 1901 20 VVinter VVinter NNP A34005 1901 21 , , , A34005 1901 22 the the DT A34005 1901 23 sum sum NN A34005 1901 24 of of IN A34005 1901 25 the the DT A34005 1901 26 Sines Sines NNPS A34005 1901 27 of of IN A34005 1901 28 the the DT A34005 1901 29 Suns Suns NNPS A34005 1901 30 Altitude Altitude NNP A34005 1901 31 or or CC A34005 1901 32 Depression depression NN A34005 1901 33 at at IN A34005 1901 34 6 6 CD A34005 1901 35 , , , A34005 1901 36 To to IN A34005 1901 37 the the DT A34005 1901 38 Sine Sine NNP A34005 1901 39 of of IN A34005 1901 40 the the DT A34005 1901 41 Hour Hour NNP A34005 1901 42 from from IN A34005 1901 43 6 6 CD A34005 1901 44 towards towards IN A34005 1901 45 Noon Noon NNP A34005 1901 46 or or CC A34005 1901 47 Midnight Midnight NNP A34005 1901 48 , , , A34005 1901 49 according accord VBG A34005 1901 50 as as IN A34005 1901 51 the the DT A34005 1901 52 Altitude Altitude NNP A34005 1901 53 or or CC A34005 1901 54 Depression Depression NNP A34005 1901 55 is be VBZ A34005 1901 56 greater great JJR A34005 1901 57 or or CC A34005 1901 58 less less JJR A34005 1901 59 then then RB A34005 1901 60 the the DT A34005 1901 61 Altitude altitude NN A34005 1901 62 or or CC A34005 1901 63 Depression depression NN A34005 1901 64 at at IN A34005 1901 65 6 6 CD A34005 1901 66 . . . A34005 1902 1 2 2 LS A34005 1902 2 . . . A34005 1903 1 And and CC A34005 1903 2 so so RB A34005 1903 3 is be VBZ A34005 1903 4 the the DT A34005 1903 5 difference difference NN A34005 1903 6 of of IN A34005 1903 7 the the DT A34005 1903 8 Sines Sines NNPS A34005 1903 9 of of IN A34005 1903 10 the the DT A34005 1903 11 Meridian Meridian NNP A34005 1903 12 , , , A34005 1903 13 and and CC A34005 1903 14 proposed propose VBN A34005 1903 15 Altitude altitude NN A34005 1903 16 , , , A34005 1903 17 To to IN A34005 1903 18 the the DT A34005 1903 19 Versed Versed NNP A34005 1903 20 Sine Sine NNP A34005 1903 21 of of IN A34005 1903 22 the the DT A34005 1903 23 Hour Hour NNP A34005 1903 24 from from IN A34005 1903 25 Noon Noon NNP A34005 1903 26 : : : A34005 1903 27 And and CC A34005 1903 28 so so RB A34005 1903 29 is be VBZ A34005 1903 30 the the DT A34005 1903 31 sum sum NN A34005 1903 32 of of IN A34005 1903 33 the the DT A34005 1903 34 Sines Sines NNPS A34005 1903 35 of of IN A34005 1903 36 the the DT A34005 1903 37 Midnight Midnight NNP A34005 1903 38 Depression Depression NNP A34005 1903 39 , , , A34005 1903 40 and and CC A34005 1903 41 given give VBN A34005 1903 42 Altitude altitude NN A34005 1903 43 , , , A34005 1903 44 To to IN A34005 1903 45 the the DT A34005 1903 46 Versed Versed NNP A34005 1903 47 Sine Sine NNP A34005 1903 48 of of IN A34005 1903 49 the the DT A34005 1903 50 Hour Hour NNP A34005 1903 51 from from IN A34005 1903 52 Midnight Midnight NNP A34005 1903 53 . . . A34005 1904 1 3 3 LS A34005 1904 2 . . . A34005 1905 1 And and CC A34005 1905 2 so so RB A34005 1905 3 is be VBZ A34005 1905 4 the the DT A34005 1905 5 Sine Sine NNP A34005 1905 6 of of IN A34005 1905 7 the the DT A34005 1905 8 Altitude altitude NN A34005 1905 9 , , , A34005 1905 10 To to IN A34005 1905 11 the the DT A34005 1905 12 difference difference NN A34005 1905 13 of of IN A34005 1905 14 the the DT A34005 1905 15 Versed Versed NNP A34005 1905 16 Sines Sines NNPS A34005 1905 17 of of IN A34005 1905 18 the the DT A34005 1905 19 Semidiurnal Semidiurnal NNP A34005 1905 20 Ark Ark NNP A34005 1905 21 , , , A34005 1905 22 and and CC A34005 1905 23 of of IN A34005 1905 24 the the DT A34005 1905 25 Hour Hour NNP A34005 1905 26 sought seek VBD A34005 1905 27 . . . A34005 1906 1 By by IN A34005 1906 2 the the DT A34005 1906 3 first first JJ A34005 1906 4 Proportion proportion NN A34005 1906 5 , , , A34005 1906 6 the the DT A34005 1906 7 hour hour NN A34005 1906 8 may may MD A34005 1906 9 be be VB A34005 1906 10 found find VBN A34005 1906 11 generally generally RB A34005 1906 12 , , , A34005 1906 13 either either CC A34005 1906 14 in in IN A34005 1906 15 the the DT A34005 1906 16 equal equal JJ A34005 1906 17 Limb Limb NNP A34005 1906 18 , , , A34005 1906 19 or or CC A34005 1906 20 Line Line NNP A34005 1906 21 of of IN A34005 1906 22 Sines Sines NNPS A34005 1906 23 . . . A34005 1907 1 By by IN A34005 1907 2 the the DT A34005 1907 3 second second JJ A34005 1907 4 Proportion proportion NN A34005 1907 5 , , , A34005 1907 6 it -PRON- PRP A34005 1907 7 may may MD A34005 1907 8 be be VB A34005 1907 9 found find VBN A34005 1907 10 generally generally RB A34005 1907 11 , , , A34005 1907 12 either either CC A34005 1907 13 in in IN A34005 1907 14 the the DT A34005 1907 15 Versed Versed NNP A34005 1907 16 Sines Sines NNPS A34005 1907 17 of of IN A34005 1907 18 90d 90d CD A34005 1907 19 , , , A34005 1907 20 or or CC A34005 1907 21 180d 180d NNPS A34005 1907 22 . . . A34005 1908 1 By by IN A34005 1908 2 the the DT A34005 1908 3 third third JJ A34005 1908 4 Proportion Proportion NNP A34005 1908 5 , , , A34005 1908 6 it -PRON- PRP A34005 1908 7 may may MD A34005 1908 8 be be VB A34005 1908 9 found find VBN A34005 1908 10 in in IN A34005 1908 11 the the DT A34005 1908 12 Line Line NNP A34005 1908 13 of of IN A34005 1908 14 Versed Versed NNP A34005 1908 15 Sines Sines NNPS A34005 1908 16 issuing issue VBG A34005 1908 17 from from IN A34005 1908 18 the the DT A34005 1908 19 Center Center NNP A34005 1908 20 in in IN A34005 1908 21 many many JJ A34005 1908 22 cases case NNS A34005 1908 23 . . . A34005 1909 1 I -PRON- PRP A34005 1909 2 shall shall MD A34005 1909 3 add add VB A34005 1909 4 a a DT A34005 1909 5 brief brief JJ A34005 1909 6 Application application NN A34005 1909 7 of of IN A34005 1909 8 all all DT A34005 1909 9 three three CD A34005 1909 10 ways way NNS A34005 1909 11 . . . A34005 1910 1 The the DT A34005 1910 2 first first JJ A34005 1910 3 Work work NN A34005 1910 4 will will MD A34005 1910 5 be be VB A34005 1910 6 to to TO A34005 1910 7 find find VB A34005 1910 8 the the DT A34005 1910 9 point point NN A34005 1910 10 of of IN A34005 1910 11 Entrance entrance NN A34005 1910 12 . . . A34005 1911 1 Example example NN A34005 1911 2 , , , A34005 1911 3 For for IN A34005 1911 4 the the DT A34005 1911 5 Latitude Latitude NNP A34005 1911 6 of of IN A34005 1911 7 Nottingham Nottingham NNP A34005 1911 8 , , , A34005 1911 9 53d 53d NNS A34005 1911 10 . . . A34005 1912 1 Lay lay VB A34005 1912 2 the the DT A34005 1912 3 thred thre VBN A34005 1912 4 to to IN A34005 1912 5 the the DT A34005 1912 6 Declination Declination NNP A34005 1912 7 , , , A34005 1912 8 admit admit VBP A34005 1912 9 20 20 CD A34005 1912 10 in in IN A34005 1912 11 the the DT A34005 1912 12 Limb Limb NNP A34005 1912 13 , , , A34005 1912 14 counted count VBD A34005 1912 15 from from IN A34005 1912 16 the the DT A34005 1912 17 left left JJ A34005 1912 18 edge edge NN A34005 1912 19 , , , A34005 1912 20 and and CC A34005 1912 21 from from IN A34005 1912 22 the the DT A34005 1912 23 Latitude Latitude NNP A34005 1912 24 in in IN A34005 1912 25 the the DT A34005 1912 26 Line Line NNP A34005 1912 27 of of IN A34005 1912 28 Sines Sines NNP A34005 1912 29 , , , A34005 1912 30 counted count VBD A34005 1912 31 towards towards IN A34005 1912 32 the the DT A34005 1912 33 Center Center NNP A34005 1912 34 from from IN A34005 1912 35 90d 90d CD A34005 1912 36 ; ; : A34005 1912 37 take take VB A34005 1912 38 the the DT A34005 1912 39 nearest near JJS A34005 1912 40 distance distance NN A34005 1912 41 to to IN A34005 1912 42 the the DT A34005 1912 43 thred thred JJ A34005 1912 44 , , , A34005 1912 45 the the DT A34005 1912 46 said say VBN A34005 1912 47 extent extent NN A34005 1912 48 measured measure VBN A34005 1912 49 from from IN A34005 1912 50 the the DT A34005 1912 51 Center Center NNP A34005 1912 52 , , , A34005 1912 53 will will MD A34005 1912 54 fall fall VB A34005 1912 55 upon upon IN A34005 1912 56 34 34 CD A34005 1912 57 25′ 25′ CD A34005 1912 58 , , , A34005 1912 59 and and CC A34005 1912 60 there there EX A34005 1912 61 will will MD A34005 1912 62 be be VB A34005 1912 63 the the DT A34005 1912 64 point point NN A34005 1912 65 of of IN A34005 1912 66 Entrance entrance NN A34005 1912 67 ; ; : A34005 1912 68 let let VB A34005 1912 69 it -PRON- PRP A34005 1912 70 be be VB A34005 1912 71 recorded record VBN A34005 1912 72 , , , A34005 1912 73 or or CC A34005 1912 74 have have VBP A34005 1912 75 a a DT A34005 1912 76 mark mark NN A34005 1912 77 set set VBN A34005 1912 78 to to IN A34005 1912 79 it -PRON- PRP A34005 1912 80 . . . A34005 1913 1 If if IN A34005 1913 2 the the DT A34005 1913 3 Suns Suns NNPS A34005 1913 4 Declination Declination NNP A34005 1913 5 be be VB A34005 1913 6 North North NNP A34005 1913 7 , , , A34005 1913 8 the the DT A34005 1913 9 Meridian Meridian NNP A34005 1913 10 Altitude Altitude NNP A34005 1913 11 in in IN A34005 1913 12 that that DT A34005 1913 13 Latitude Latitude NNP A34005 1913 14 , , , A34005 1913 15 will will MD A34005 1913 16 be be VB A34005 1913 17 57d 57d NNS A34005 1913 18 , , , A34005 1913 19 the the DT A34005 1913 20 said say VBN A34005 1913 21 extent extent NN A34005 1913 22 will will MD A34005 1913 23 reach reach VB A34005 1913 24 from from IN A34005 1913 25 the the DT A34005 1913 26 Sine Sine NNP A34005 1913 27 thereof thereof RB A34005 1913 28 , , , A34005 1913 29 to to IN A34005 1913 30 the the DT A34005 1913 31 Sine Sine NNP A34005 1913 32 of of IN A34005 1913 33 the the DT A34005 1913 34 Suns Suns NNPS A34005 1913 35 Altitude Altitude NNP A34005 1913 36 , , , A34005 1913 37 or or CC A34005 1913 38 Depression depression NN A34005 1913 39 at at IN A34005 1913 40 6 6 CD A34005 1913 41 , , , A34005 1913 42 to to IN A34005 1913 43 that that DT A34005 1913 44 Declination declination NN A34005 1913 45 , , , A34005 1913 46 namely namely RB A34005 1913 47 , , , A34005 1913 48 to to IN A34005 1913 49 15d 15d CD A34005 1913 50 51′ 51′ CD A34005 1913 51 : : : A34005 1913 52 which which WDT A34005 1913 53 may may MD A34005 1913 54 also also RB A34005 1913 55 be be VB A34005 1913 56 found find VBN A34005 1913 57 without without IN A34005 1913 58 the the DT A34005 1913 59 Meridian Meridian NNP A34005 1913 60 Altitude Altitude NNP A34005 1913 61 , , , A34005 1913 62 by by IN A34005 1913 63 taking take VBG A34005 1913 64 the the DT A34005 1913 65 distance distance NN A34005 1913 66 from from IN A34005 1913 67 20d 20d NNS A34005 1913 68 in in IN A34005 1913 69 the the DT A34005 1913 70 Sines Sines NNPS A34005 1913 71 , , , A34005 1913 72 to to IN A34005 1913 73 the the DT A34005 1913 74 thred thre VBN A34005 1913 75 laid lay VBN A34005 1913 76 over over IN A34005 1913 77 the the DT A34005 1913 78 Arch Arch NNP A34005 1913 79 53d 53d NNS A34005 1913 80 , , , A34005 1913 81 counted count VBN A34005 1913 82 from from IN A34005 1913 83 the the DT A34005 1913 84 right right JJ A34005 1913 85 Edge edge NN A34005 1913 86 , , , A34005 1913 87 and and CC A34005 1913 88 by by IN A34005 1913 89 measuring measure VBG A34005 1913 90 that that DT A34005 1913 91 extent extent NN A34005 1913 92 from from IN A34005 1913 93 the the DT A34005 1913 94 Center Center NNP A34005 1913 95 , , , A34005 1913 96 the the DT A34005 1913 97 point point NN A34005 1913 98 thus thus RB A34005 1913 99 found find VBN A34005 1913 100 , , , A34005 1913 101 I -PRON- PRP A34005 1913 102 call call VBP A34005 1913 103 the the DT A34005 1913 104 Sine Sine NNP A34005 1913 105 point point NN A34005 1913 106 . . . A34005 1914 1 Thirdly thirdly RB A34005 1914 2 , , , A34005 1914 3 If if IN A34005 1914 4 the the DT A34005 1914 5 respective respective JJ A34005 1914 6 distances distance NNS A34005 1914 7 between between IN A34005 1914 8 the the DT A34005 1914 9 Sine Sine NNP A34005 1914 10 point point NN A34005 1914 11 , , , A34005 1914 12 and and CC A34005 1914 13 the the DT A34005 1914 14 Sine Sine NNP A34005 1914 15 of of IN A34005 1914 16 the the DT A34005 1914 17 given give VBN A34005 1914 18 Altitude altitude NN A34005 1914 19 , , , A34005 1914 20 be be VB A34005 1914 21 taken take VBN A34005 1914 22 and and CC A34005 1914 23 entred entre VBN A34005 1914 24 upon upon IN A34005 1914 25 the the DT A34005 1914 26 point point NN A34005 1914 27 of of IN A34005 1914 28 Entrance entrance NN A34005 1914 29 , , , A34005 1914 30 laying lay VBG A34005 1914 31 the the DT A34005 1914 32 thred thre VBN A34005 1914 33 to to IN A34005 1914 34 the the DT A34005 1914 35 other other JJ A34005 1914 36 foot foot NN A34005 1914 37 , , , A34005 1914 38 according accord VBG A34005 1914 39 to to IN A34005 1914 40 nearest near JJS A34005 1914 41 distance distance NN A34005 1914 42 , , , A34005 1914 43 the the DT A34005 1914 44 hour hour NN A34005 1914 45 may may MD A34005 1914 46 be be VB A34005 1914 47 found find VBN A34005 1914 48 all all DT A34005 1914 49 day day NN A34005 1914 50 for for IN A34005 1914 51 that that DT A34005 1914 52 Declination declination NN A34005 1914 53 , , , A34005 1914 54 when when WRB A34005 1914 55 it -PRON- PRP A34005 1914 56 is be VBZ A34005 1914 57 North north NN A34005 1914 58 in in IN A34005 1914 59 the the DT A34005 1914 60 equal equal JJ A34005 1914 61 Limb Limb NNP A34005 1914 62 . . . A34005 1915 1 Example example NN A34005 1915 2 , , , A34005 1915 3 For for IN A34005 1915 4 the the DT A34005 1915 5 Latitude Latitude NNP A34005 1915 6 of of IN A34005 1915 7 Nottingham Nottingham NNP A34005 1915 8 , , , A34005 1915 9 to to IN A34005 1915 10 the the DT A34005 1915 11 former former JJ A34005 1915 12 Declination declination NN A34005 1915 13 , , , A34005 1915 14 being be VBG A34005 1915 15 North North NNP A34005 1915 16 . . . A34005 1916 1 When when WRB A34005 1916 2 the the DT A34005 1916 3 Sun Sun NNP A34005 1916 4 hath hath NNP A34005 1916 5 11d 11d NNP A34005 1916 6 31′ 31′ NNP A34005 1916 7 20 20 CD A34005 1916 8 17 17 CD A34005 1916 9 of of IN A34005 1916 10 Altitude Altitude NNP A34005 1916 11 , , , A34005 1916 12 the the DT A34005 1916 13 Hour Hour NNP A34005 1916 14 in in IN A34005 1916 15 each each DT A34005 1916 16 Case case NN A34005 1916 17 will will MD A34005 1916 18 be be VB A34005 1916 19 found find VBN A34005 1916 20 half half PDT A34005 1916 21 an an DT A34005 1916 22 hour hour NN A34005 1916 23 from from IN A34005 1916 24 6 6 CD A34005 1916 25 , , , A34005 1916 26 to to IN A34005 1916 27 the the DT A34005 1916 28 lesser less JJR A34005 1916 29 Altitude altitude NN A34005 1916 30 beyond beyond IN A34005 1916 31 it -PRON- PRP A34005 1916 32 , , , A34005 1916 33 towards towards IN A34005 1916 34 Midnight midnight NN A34005 1916 35 ; ; : A34005 1916 36 to to IN A34005 1916 37 the the DT A34005 1916 38 greater great JJR A34005 1916 39 , , , A34005 1916 40 towards towards IN A34005 1916 41 Noon Noon NNP A34005 1916 42 . . . A34005 1917 1 And and CC A34005 1917 2 when when WRB A34005 1917 3 the the DT A34005 1917 4 Altitude altitude NN A34005 1917 5 is be VBZ A34005 1917 6 38d 38d CD A34005 1917 7 19′ 19′ CD A34005 1917 8 , , , A34005 1917 9 the the DT A34005 1917 10 time time NN A34005 1917 11 of of IN A34005 1917 12 the the DT A34005 1917 13 day day NN A34005 1917 14 will will MD A34005 1917 15 be be VB A34005 1917 16 either either CC A34005 1917 17 half half PDT A34005 1917 18 an an DT A34005 1917 19 hour hour NN A34005 1917 20 past past IN A34005 1917 21 8 8 CD A34005 1917 22 in in IN A34005 1917 23 the the DT A34005 1917 24 morning morning NN A34005 1917 25 , , , A34005 1917 26 or or CC A34005 1917 27 half half PDT A34005 1917 28 an an DT A34005 1917 29 hour hour NN A34005 1917 30 past past IN A34005 1917 31 3 3 CD A34005 1917 32 in in IN A34005 1917 33 the the DT A34005 1917 34 Afternoon afternoon NN A34005 1917 35 . . . A34005 1918 1 An an DT A34005 1918 2 Example example NN A34005 1918 3 for for IN A34005 1918 4 the the DT A34005 1918 5 Latitude Latitude NNP A34005 1918 6 of of IN A34005 1918 7 Nottingham Nottingham NNP A34005 1918 8 , , , A34005 1918 9 when when WRB A34005 1918 10 the the DT A34005 1918 11 Declination Declination NNP A34005 1918 12 is be VBZ A34005 1918 13 as as RB A34005 1918 14 much much JJ A34005 1918 15 South South NNP A34005 1918 16 . . . A34005 1919 1 Let let VB A34005 1919 2 the the DT A34005 1919 3 Altitude altitude NN A34005 1919 4 be be VB A34005 1919 5 10d 10d NNS A34005 1919 6 6′ 6′ CD A34005 1919 7 , , , A34005 1919 8 In in IN A34005 1919 9 this this DT A34005 1919 10 case case NN A34005 1919 11 add add VB A34005 1919 12 the the DT A34005 1919 13 Sine Sine NNP A34005 1919 14 thereof thereof RB A34005 1919 15 to to IN A34005 1919 16 the the DT A34005 1919 17 Sine Sine NNP A34005 1919 18 of of IN A34005 1919 19 15d 15d CD A34005 1919 20 51′ 51′ CD A34005 1919 21 , , , A34005 1919 22 the the DT A34005 1919 23 whole whole JJ A34005 1919 24 extent extent NN A34005 1919 25 will will MD A34005 1919 26 be be VB A34005 1919 27 equal equal JJ A34005 1919 28 to to IN A34005 1919 29 the the DT A34005 1919 30 Sine Sine NNP A34005 1919 31 of of IN A34005 1919 32 26d 26d CD A34005 1919 33 39′ 39′ CD A34005 1919 34 ; ; : A34005 1919 35 Enter enter VB A34005 1919 36 this this DT A34005 1919 37 Extent extent NN A34005 1919 38 upon upon IN A34005 1919 39 the the DT A34005 1919 40 point point NN A34005 1919 41 of of IN A34005 1919 42 Entrance entrance NN A34005 1919 43 at at IN A34005 1919 44 34d 34d NNS A34005 1919 45 25′ 25′ CD A34005 1919 46 laying lay VBG A34005 1919 47 the the DT A34005 1919 48 thred thre VBN A34005 1919 49 to to IN A34005 1919 50 the the DT A34005 1919 51 other other JJ A34005 1919 52 foot foot NN A34005 1919 53 , , , A34005 1919 54 according accord VBG A34005 1919 55 to to IN A34005 1919 56 nearest near JJS A34005 1919 57 distance distance NN A34005 1919 58 , , , A34005 1919 59 and and CC A34005 1919 60 the the DT A34005 1919 61 time time NN A34005 1919 62 of of IN A34005 1919 63 the the DT A34005 1919 64 day day NN A34005 1919 65 found find VBN A34005 1919 66 in in IN A34005 1919 67 the the DT A34005 1919 68 Limb Limb NNP A34005 1919 69 , , , A34005 1919 70 will will MD A34005 1919 71 be be VB A34005 1919 72 either either CC A34005 1919 73 half half PDT A34005 1919 74 an an DT A34005 1919 75 hour hour NN A34005 1919 76 past past IN A34005 1919 77 9 9 CD A34005 1919 78 in in IN A34005 1919 79 the the DT A34005 1919 80 morning morning NN A34005 1919 81 , , , A34005 1919 82 or or CC A34005 1919 83 half half PDT A34005 1919 84 an an DT A34005 1919 85 hour hour NN A34005 1919 86 past past IN A34005 1919 87 2 2 CD A34005 1919 88 in in IN A34005 1919 89 the the DT A34005 1919 90 afternoon afternoon NN A34005 1919 91 . . . A34005 1920 1 An an DT A34005 1920 2 Example example NN A34005 1920 3 for for IN A34005 1920 4 working work VBG A34005 1920 5 the the DT A34005 1920 6 second second JJ A34005 1920 7 Proportion proportion NN A34005 1920 8 . . . A34005 1921 1 The the DT A34005 1921 2 Summer Summer NNP A34005 1921 3 Meridian Meridian NNP A34005 1921 4 Altitude Altitude NNP A34005 1921 5 is be VBZ A34005 1921 6 57d 57d NNS A34005 1921 7 , , , A34005 1921 8 if if IN A34005 1921 9 the the DT A34005 1921 10 given give VBN A34005 1921 11 Altitude altitude NN A34005 1921 12 be be VB A34005 1921 13 46d 46d NNS A34005 1921 14 11′ 11′ CD A34005 1921 15 , , , A34005 1921 16 take take VB A34005 1921 17 the the DT A34005 1921 18 distance distance NN A34005 1921 19 between between IN A34005 1921 20 the the DT A34005 1921 21 Sines Sines NNPS A34005 1921 22 of of IN A34005 1921 23 these these DT A34005 1921 24 two two CD A34005 1921 25 Arks Arks NNPS A34005 1921 26 , , , A34005 1921 27 and and CC A34005 1921 28 entring entre VBG A34005 1921 29 this this DT A34005 1921 30 extent extent NN A34005 1921 31 upon upon IN A34005 1921 32 the the DT A34005 1921 33 point point NN A34005 1921 34 of of IN A34005 1921 35 Entrance entrance NN A34005 1921 36 , , , A34005 1921 37 lay lie VBD A34005 1921 38 the the DT A34005 1921 39 thred thre VBN A34005 1921 40 to to IN A34005 1921 41 the the DT A34005 1921 42 other other JJ A34005 1921 43 foot foot NN A34005 1921 44 , , , A34005 1921 45 according accord VBG A34005 1921 46 to to IN A34005 1921 47 nearest near JJS A34005 1921 48 distance distance NN A34005 1921 49 , , , A34005 1921 50 it -PRON- PRP A34005 1921 51 will will MD A34005 1921 52 in in IN A34005 1921 53 the the DT A34005 1921 54 Versed Versed NNP A34005 1921 55 Sine Sine NNP A34005 1921 56 of of IN A34005 1921 57 90d 90d NNPS A34005 1921 58 , , , A34005 1921 59 shew shew NN A34005 1921 60 the the DT A34005 1921 61 Hour Hour NNP A34005 1921 62 from from IN A34005 1921 63 Noon Noon NNP A34005 1921 64 to to TO A34005 1921 65 be be VB A34005 1921 66 37d 37d NNS A34005 1921 67 30′ 30′ CD A34005 1921 68 , , , A34005 1921 69 that that RB A34005 1921 70 is is RB A34005 1921 71 , , , A34005 1921 72 either either CC A34005 1921 73 half half PDT A34005 1921 74 an an DT A34005 1921 75 hour hour NN A34005 1921 76 past past IN A34005 1921 77 10 10 CD A34005 1921 78 in in IN A34005 1921 79 the the DT A34005 1921 80 morning morning NN A34005 1921 81 , , , A34005 1921 82 or or CC A34005 1921 83 half half PDT A34005 1921 84 an an DT A34005 1921 85 hour hour NN A34005 1921 86 past past IN A34005 1921 87 1 1 CD A34005 1921 88 in in IN A34005 1921 89 the the DT A34005 1921 90 Afternoon Afternoon NNP A34005 1921 91 . . . A34005 1922 1 And and CC A34005 1922 2 when when WRB A34005 1922 3 the the DT A34005 1922 4 Hour hour NN A34005 1922 5 falls fall VBZ A34005 1922 6 near near IN A34005 1922 7 Noon Noon NNP A34005 1922 8 , , , A34005 1922 9 we -PRON- PRP A34005 1922 10 may may MD A34005 1922 11 double double VB A34005 1922 12 or or CC A34005 1922 13 triple triple VB A34005 1922 14 the the DT A34005 1922 15 extent extent NN A34005 1922 16 of of IN A34005 1922 17 the the DT A34005 1922 18 Compasses Compasses NNPS A34005 1922 19 , , , A34005 1922 20 and and CC A34005 1922 21 find find VB A34005 1922 22 an an DT A34005 1922 23 Ark Ark NNP A34005 1922 24 in in IN A34005 1922 25 the the DT A34005 1922 26 Limb Limb NNP A34005 1922 27 , , , A34005 1922 28 which which WDT A34005 1922 29 if if IN A34005 1922 30 counted count VBD A34005 1922 31 from from IN A34005 1922 32 the the DT A34005 1922 33 other other JJ A34005 1922 34 edge edge NN A34005 1922 35 , , , A34005 1922 36 and and CC A34005 1922 37 the the DT A34005 1922 38 thred thre VBN A34005 1922 39 laid lay VBD A34005 1922 40 over over IN A34005 1922 41 it -PRON- PRP A34005 1922 42 ▪ ▪ NN A34005 1922 43 will will MD A34005 1922 44 give give VB A34005 1922 45 answer answer NN A34005 1922 46 in in IN A34005 1922 47 the the DT A34005 1922 48 Versed Versed NNP A34005 1922 49 Sines Sines NNPS A34005 1922 50 doubled double VBD A34005 1922 51 or or CC A34005 1922 52 tripled triple VBD A34005 1922 53 accordingly accordingly RB A34005 1922 54 . . . A34005 1923 1 A a DT A34005 1923 2 third third JJ A34005 1923 3 Example example NN A34005 1923 4 . . . A34005 1924 1 If if IN A34005 1924 2 the the DT A34005 1924 3 Altitude altitude NN A34005 1924 4 were be VBD A34005 1924 5 3d 3d CD A34005 1924 6 15′ 15′ CD A34005 1924 7 , , , A34005 1924 8 in in IN A34005 1924 9 this this DT A34005 1924 10 case case NN A34005 1924 11 the the DT A34005 1924 12 distance distance NN A34005 1924 13 between between IN A34005 1924 14 it -PRON- PRP A34005 1924 15 and and CC A34005 1924 16 the the DT A34005 1924 17 Meridian Meridian NNP A34005 1924 18 Altitude Altitude NNP A34005 1924 19 being be VBG A34005 1924 20 greater great JJR A34005 1924 21 then then RB A34005 1924 22 the the DT A34005 1924 23 distance distance NN A34005 1924 24 of of IN A34005 1924 25 the the DT A34005 1924 26 point point NN A34005 1924 27 of of IN A34005 1924 28 Entrance entrance NN A34005 1924 29 from from IN A34005 1924 30 the the DT A34005 1924 31 Center Center NNP A34005 1924 32 , , , A34005 1924 33 the the DT A34005 1924 34 hour hour NN A34005 1924 35 must must MD A34005 1924 36 be be VB A34005 1924 37 found find VBN A34005 1924 38 from from IN A34005 1924 39 Midnight Midnight NNP A34005 1924 40 ; ; : A34005 1924 41 add add VB A34005 1924 42 the the DT A34005 1924 43 Sine Sine NNP A34005 1924 44 thereof thereof RB A34005 1924 45 to to IN A34005 1924 46 the the DT A34005 1924 47 Sine Sine NNP A34005 1924 48 of of IN A34005 1924 49 17d 17d NNS A34005 1924 50 , , , A34005 1924 51 the the DT A34005 1924 52 Winter Winter NNP A34005 1924 53 Meridian Meridian NNP A34005 1924 54 Altitude Altitude NNP A34005 1924 55 , , , A34005 1924 56 the the DT A34005 1924 57 whole whole JJ A34005 1924 58 extent extent NN A34005 1924 59 will will MD A34005 1924 60 be be VB A34005 1924 61 equal equal JJ A34005 1924 62 to to IN A34005 1924 63 the the DT A34005 1924 64 Sine Sine NNP A34005 1924 65 of of IN A34005 1924 66 20 20 CD A34005 1924 67 25′ 25′ CD A34005 1924 68 ; ; : A34005 1924 69 Enter enter VB A34005 1924 70 the the DT A34005 1924 71 said say VBN A34005 1924 72 extent extent NN A34005 1924 73 upon upon IN A34005 1924 74 the the DT A34005 1924 75 point point NN A34005 1924 76 of of IN A34005 1924 77 Entrance entrance NN A34005 1924 78 ▪ ▪ NNP A34005 1924 79 as as IN A34005 1924 80 before before RB A34005 1924 81 , , , A34005 1924 82 and and CC A34005 1924 83 in in IN A34005 1924 84 the the DT A34005 1924 85 Versed Versed NNP A34005 1924 86 Sine Sine NNP A34005 1924 87 of of IN A34005 1924 88 90d 90d CD A34005 1924 89 , , , A34005 1924 90 the the DT A34005 1924 91 hour hour NN A34005 1924 92 will will MD A34005 1924 93 be be VB A34005 1924 94 found find VBN A34005 1924 95 to to TO A34005 1924 96 be be VB A34005 1924 97 either either CC A34005 1924 98 half half PDT A34005 1924 99 an an DT A34005 1924 100 hour hour NN A34005 1924 101 past past IN A34005 1924 102 4 4 CD A34005 1924 103 in in IN A34005 1924 104 the the DT A34005 1924 105 Morning morning NN A34005 1924 106 , , , A34005 1924 107 or or CC A34005 1924 108 half half PDT A34005 1924 109 an an DT A34005 1924 110 hour hour NN A34005 1924 111 past past IN A34005 1924 112 7 7 CD A34005 1924 113 in in IN A34005 1924 114 the the DT A34005 1924 115 Evening evening NN A34005 1924 116 . . . A34005 1925 1 Examples example NNS A34005 1925 2 for for IN A34005 1925 3 working work VBG A34005 1925 4 the the DT A34005 1925 5 third third JJ A34005 1925 6 Proportion Proportion NNP A34005 1925 7 . . . A34005 1926 1 Take take VB A34005 1926 2 the the DT A34005 1926 3 Sine Sine NNP A34005 1926 4 of of IN A34005 1926 5 30d 30d CD A34005 1926 6 , , , A34005 1926 7 and and CC A34005 1926 8 enter enter VB A34005 1926 9 it -PRON- PRP A34005 1926 10 upon upon IN A34005 1926 11 the the DT A34005 1926 12 point point NN A34005 1926 13 of of IN A34005 1926 14 Entrance entrance NN A34005 1926 15 , , , A34005 1926 16 laying lay VBG A34005 1926 17 the the DT A34005 1926 18 thred thre VBN A34005 1926 19 to to IN A34005 1926 20 the the DT A34005 1926 21 other other JJ A34005 1926 22 foot foot NN A34005 1926 23 , , , A34005 1926 24 according accord VBG A34005 1926 25 to to IN A34005 1926 26 nearest near JJS A34005 1926 27 distance distance NN A34005 1926 28 , , , A34005 1926 29 and and CC A34005 1926 30 there there EX A34005 1926 31 keep keep VB A34005 1926 32 it -PRON- PRP A34005 1926 33 ; ; : A34005 1926 34 then then RB A34005 1926 35 take take VB A34005 1926 36 the the DT A34005 1926 37 nearest near JJS A34005 1926 38 distance distance NN A34005 1926 39 to to IN A34005 1926 40 it -PRON- PRP A34005 1926 41 from from IN A34005 1926 42 the the DT A34005 1926 43 Sine Sine NNP A34005 1926 44 of of IN A34005 1926 45 57 57 CD A34005 1926 46 , , , A34005 1926 47 the the DT A34005 1926 48 Meridian Meridian NNP A34005 1926 49 Altitude Altitude NNP A34005 1926 50 ; ; : A34005 1926 51 and and CC A34005 1926 52 the the DT A34005 1926 53 said say VBD A34005 1926 54 Extent Extent NNP A34005 1926 55 prick prick NN A34005 1926 56 upon upon IN A34005 1926 57 the the DT A34005 1926 58 Line Line NNP A34005 1926 59 of of IN A34005 1926 60 Versed Versed NNP A34005 1926 61 Sines Sines NNP A34005 1926 62 on on IN A34005 1926 63 the the DT A34005 1926 64 left left JJ A34005 1926 65 edge edge NN A34005 1926 66 , , , A34005 1926 67 and and CC A34005 1926 68 it -PRON- PRP A34005 1926 69 will will MD A34005 1926 70 reach reach VB A34005 1926 71 to to IN A34005 1926 72 118 118 CD A34005 1926 73 ● ● CD A34005 1926 74 54′ 54′ CD A34005 1926 75 , , , A34005 1926 76 set set VBD A34005 1926 77 a a DT A34005 1926 78 mark mark NN A34005 1926 79 to to IN A34005 1926 80 it -PRON- PRP A34005 1926 81 . . . A34005 1927 1 Lastly lastly RB A34005 1927 2 , , , A34005 1927 3 the the DT A34005 1927 4 nearest near JJS A34005 1927 5 distance distance NN A34005 1927 6 from from IN A34005 1927 7 the the DT A34005 1927 8 Sine Sine NNP A34005 1927 9 of of IN A34005 1927 10 each each DT A34005 1927 11 respective respective JJ A34005 1927 12 Altitude altitude NN A34005 1927 13 to to IN A34005 1927 14 the the DT A34005 1927 15 thred thred JJ A34005 1927 16 , , , A34005 1927 17 being be VBG A34005 1927 18 pricked prick VBN A34005 1927 19 from from IN A34005 1927 20 the the DT A34005 1927 21 said say VBN A34005 1927 22 mark mark NN A34005 1927 23 , , , A34005 1927 24 will will MD A34005 1927 25 reach reach VB A34005 1927 26 to to IN A34005 1927 27 the the DT A34005 1927 28 Versed Versed NNP A34005 1927 29 Sine Sine NNP A34005 1927 30 of of IN A34005 1927 31 the the DT A34005 1927 32 hour hour NN A34005 1927 33 from from IN A34005 1927 34 Noon Noon NNP A34005 1927 35 , , , A34005 1927 36 for for IN A34005 1927 37 North North NNP A34005 1927 38 Declinations Declinations NNPS A34005 1927 39 . . . A34005 1928 1 So so RB A34005 1928 2 when when WRB A34005 1928 3 the the DT A34005 1928 4 Sun Sun NNP A34005 1928 5 hath hath NNP A34005 1928 6 24d 24d CD A34005 1928 7 48′ 48′ CD A34005 1928 8 of of IN A34005 1928 9 Altitude Altitude NNP A34005 1928 10 , , , A34005 1928 11 the the DT A34005 1928 12 Hour Hour NNP A34005 1928 13 from from IN A34005 1928 14 7 7 CD A34005 1928 15 : : SYM A34005 1928 16 17 17 CD A34005 1928 17 Noon noon NN A34005 1928 18 will will MD A34005 1928 19 be be VB A34005 1928 20 found find VBN A34005 1928 21 to to TO A34005 1928 22 be be VB A34005 1928 23 — — : A34005 1928 24 75d 75d , A34005 1928 25 105 105 CD A34005 1928 26 A a DT A34005 1928 27 Winter Winter NNP A34005 1928 28 Example Example NNP A34005 1928 29 for for IN A34005 1928 30 that that DT A34005 1928 31 Declination declination NN A34005 1928 32 . . . A34005 1929 1 The the DT A34005 1929 2 nearest near JJS A34005 1929 3 distance distance NN A34005 1929 4 from from IN A34005 1929 5 the the DT A34005 1929 6 Sine Sine NNP A34005 1929 7 of of IN A34005 1929 8 17d 17d NNS A34005 1929 9 , , , A34005 1929 10 the the DT A34005 1929 11 Winter Winter NNP A34005 1929 12 Meridian Meridian NNP A34005 1929 13 Altitude Altitude NNP A34005 1929 14 , , , A34005 1929 15 to to IN A34005 1929 16 the the DT A34005 1929 17 thred thre VBN A34005 1929 18 , , , A34005 1929 19 will will MD A34005 1929 20 reach reach VB A34005 1929 21 to to IN A34005 1929 22 the the DT A34005 1929 23 Versed Versed NNP A34005 1929 24 Sine Sine NNP A34005 1929 25 of of IN A34005 1929 26 61d 61d CD A34005 1929 27 6′ 6′ CD A34005 1929 28 , , , A34005 1929 29 the the DT A34005 1929 30 Complement Complement NNP A34005 1929 31 of of IN A34005 1929 32 the the DT A34005 1929 33 former former JJ A34005 1929 34 to to IN A34005 1929 35 a a DT A34005 1929 36 Semicircle Semicircle NNP A34005 1929 37 , , , A34005 1929 38 at at IN A34005 1929 39 which which WDT A34005 1929 40 set set VBD A34005 1929 41 a a DT A34005 1929 42 mark mark NN A34005 1929 43 ; ; : A34005 1929 44 then then RB A34005 1929 45 if if IN A34005 1929 46 the the DT A34005 1929 47 Altitude Altitude NNP A34005 1929 48 were be VBD A34005 1929 49 — — : A34005 1929 50 12d 12d NNS A34005 1929 51 30′ 30′ CD A34005 1929 52 14 14 CD A34005 1929 53 : : : A34005 1929 54 26 26 CD A34005 1929 55 the the DT A34005 1929 56 nearest near JJS A34005 1929 57 distances distance NNS A34005 1929 58 to to IN A34005 1929 59 the the DT A34005 1929 60 thred thre VBN A34005 1929 61 prickt prickt NNS A34005 1929 62 from from IN A34005 1929 63 the the DT A34005 1929 64 latter latter JJ A34005 1929 65 mark mark NN A34005 1929 66 , , , A34005 1929 67 would would MD A34005 1929 68 shew shew VB A34005 1929 69 the the DT A34005 1929 70 hours hour NNS A34005 1929 71 to to IN A34005 1929 72 these these DT A34005 1929 73 Altitudes altitude NNS A34005 1929 74 to to TO A34005 1929 75 be be VB A34005 1929 76 2 2 CD A34005 1929 77 hours hour NNS A34005 1929 78 1 1 CD A34005 1929 79 ½ ½ JJ A34005 1929 80 hour hour NN A34005 1929 81 from from IN A34005 1929 82 Noon Noon NNP A34005 1929 83 This this DT A34005 1929 84 last last JJ A34005 1929 85 Proportion proportion NN A34005 1929 86 in in IN A34005 1929 87 some some DT A34005 1929 88 cases case NNS A34005 1929 89 will will MD A34005 1929 90 be be VB A34005 1929 91 inconvenient inconvenient JJ A34005 1929 92 , , , A34005 1929 93 being be VBG A34005 1929 94 liable liable JJ A34005 1929 95 to to IN A34005 1929 96 excursion excursion NN A34005 1929 97 in in IN A34005 1929 98 Latitudes Latitudes NNP A34005 1929 99 more more RBR A34005 1929 100 Northwardly northwardly RB A34005 1929 101 . . . A34005 1930 1 Two two CD A34005 1930 2 sides side NNS A34005 1930 3 with with IN A34005 1930 4 the the DT A34005 1930 5 Angle Angle NNP A34005 1930 6 comprehended comprehend VBD A34005 1930 7 , , , A34005 1930 8 to to TO A34005 1930 9 find find VB A34005 1930 10 the the DT A34005 1930 11 third third JJ A34005 1930 12 side side NN A34005 1930 13 . . . A34005 1931 1 As as IN A34005 1931 2 the the DT A34005 1931 3 Radius Radius NNP A34005 1931 4 , , , A34005 1931 5 Is be VBZ A34005 1931 6 to to IN A34005 1931 7 the the DT A34005 1931 8 Sine Sine NNP A34005 1931 9 of of IN A34005 1931 10 one one CD A34005 1931 11 of of IN A34005 1931 12 the the DT A34005 1931 13 Includers Includers NNPS A34005 1931 14 , , , A34005 1931 15 So so RB A34005 1931 16 is be VBZ A34005 1931 17 the the DT A34005 1931 18 Sine Sine NNP A34005 1931 19 of of IN A34005 1931 20 the the DT A34005 1931 21 other other JJ A34005 1931 22 Includer Includer NNP A34005 1931 23 , , , A34005 1931 24 To to IN A34005 1931 25 a a DT A34005 1931 26 fourth fourth JJ A34005 1931 27 . . . A34005 1932 1 Again again RB A34005 1932 2 , , , A34005 1932 3 As as IN A34005 1932 4 the the DT A34005 1932 5 Radius Radius NNP A34005 1932 6 , , , A34005 1932 7 Is be VBZ A34005 1932 8 to to IN A34005 1932 9 the the DT A34005 1932 10 Versed Versed NNP A34005 1932 11 Sine Sine NNP A34005 1932 12 of of IN A34005 1932 13 the the DT A34005 1932 14 Angle Angle NNP A34005 1932 15 included include VBN A34005 1932 16 , , , A34005 1932 17 So so RB A34005 1932 18 is be VBZ A34005 1932 19 that that DT A34005 1932 20 fourth fourth JJ A34005 1932 21 , , , A34005 1932 22 To to IN A34005 1932 23 the the DT A34005 1932 24 difference difference NN A34005 1932 25 of of IN A34005 1932 26 the the DT A34005 1932 27 Versed Versed NNP A34005 1932 28 Sines Sines NNPS A34005 1932 29 of of IN A34005 1932 30 the the DT A34005 1932 31 third third JJ A34005 1932 32 side side NN A34005 1932 33 , , , A34005 1932 34 and and CC A34005 1932 35 of of IN A34005 1932 36 the the DT A34005 1932 37 Ark Ark NNP A34005 1932 38 of of IN A34005 1932 39 difference difference NN A34005 1932 40 between between IN A34005 1932 41 the the DT A34005 1932 42 two two CD A34005 1932 43 including include VBG A34005 1932 44 sides side NNS A34005 1932 45 , , , A34005 1932 46 And and CC A34005 1932 47 so so RB A34005 1932 48 is be VBZ A34005 1932 49 the the DT A34005 1932 50 Versed Versed NNP A34005 1932 51 Sine Sine NNP A34005 1932 52 of of IN A34005 1932 53 the the DT A34005 1932 54 Included include VBN A34005 1932 55 Angles Angles NNP A34005 1932 56 Complement Complement NNP A34005 1932 57 to to IN A34005 1932 58 180 180 CD A34005 1932 59 . . . A34005 1933 1 To to IN A34005 1933 2 the the DT A34005 1933 3 difference difference NN A34005 1933 4 of of IN A34005 1933 5 the the DT A34005 1933 6 Versed Versed NNP A34005 1933 7 Sines Sines NNPS A34005 1933 8 of of IN A34005 1933 9 the the DT A34005 1933 10 third third JJ A34005 1933 11 side side NN A34005 1933 12 , , , A34005 1933 13 and and CC A34005 1933 14 of of IN A34005 1933 15 the the DT A34005 1933 16 sum sum NN A34005 1933 17 of of IN A34005 1933 18 the the DT A34005 1933 19 two two CD A34005 1933 20 including include VBG A34005 1933 21 sides side NNS A34005 1933 22 . . . A34005 1934 1 Another another DT A34005 1934 2 Proportion proportion NN A34005 1934 3 for for IN A34005 1934 4 finding find VBG A34005 1934 5 it -PRON- PRP A34005 1934 6 in in IN A34005 1934 7 Sines Sines NNP A34005 1934 8 , , , A34005 1934 9 elsewhere elsewhere RB A34005 1934 10 delivered deliver VBN A34005 1934 11 . . . A34005 1935 1 By by IN A34005 1935 2 the the DT A34005 1935 3 former former JJ A34005 1935 4 Proportion proportion NN A34005 1935 5 , , , A34005 1935 6 having have VBG A34005 1935 7 the the DT A34005 1935 8 advantage advantage NN A34005 1935 9 both both DT A34005 1935 10 of of IN A34005 1935 11 lesser less JJR A34005 1935 12 and and CC A34005 1935 13 greater great JJR A34005 1935 14 Versed Versed NNP A34005 1935 15 Sines Sines NNPS A34005 1935 16 , , , A34005 1935 17 we -PRON- PRP A34005 1935 18 may may MD A34005 1935 19 find find VB A34005 1935 20 the the DT A34005 1935 21 side side NN A34005 1935 22 sought seek VBN A34005 1935 23 , , , A34005 1935 24 either either CC A34005 1935 25 in in IN A34005 1935 26 the the DT A34005 1935 27 line line NN A34005 1935 28 of of IN A34005 1935 29 Sines Sines NNP A34005 1935 30 , , , A34005 1935 31 or or CC A34005 1935 32 in in IN A34005 1935 33 the the DT A34005 1935 34 line line NN A34005 1935 35 of of IN A34005 1935 36 Versed Versed NNP A34005 1935 37 Sines Sines NNP A34005 1935 38 on on IN A34005 1935 39 the the DT A34005 1935 40 the the DT A34005 1935 41 left left JJ A34005 1935 42 edge edge NN A34005 1935 43 ▪ ▪ NN A34005 1935 44 issuing issue VBG A34005 1935 45 from from IN A34005 1935 46 the the DT A34005 1935 47 Center Center NNP A34005 1935 48 . . . A34005 1936 1 The the DT A34005 1936 2 Converse Converse NNP A34005 1936 3 of of IN A34005 1936 4 the the DT A34005 1936 5 Proportion proportion NN A34005 1936 6 that that WDT A34005 1936 7 found find VBD A34005 1936 8 the the DT A34005 1936 9 Hour Hour NNP A34005 1936 10 , , , A34005 1936 11 will will MD A34005 1936 12 find find VB A34005 1936 13 the the DT A34005 1936 14 Suns Suns NNPS A34005 1936 15 Altitudes Altitudes NNPS A34005 1936 16 on on IN A34005 1936 17 all all DT A34005 1936 18 Hours hour NNS A34005 1936 19 . . . A34005 1937 1 As as IN A34005 1937 2 the the DT A34005 1937 3 Radius Radius NNP A34005 1937 4 , , , A34005 1937 5 Is be VBZ A34005 1937 6 to to IN A34005 1937 7 the the DT A34005 1937 8 Cosine Cosine NNP A34005 1937 9 of of IN A34005 1937 10 the the DT A34005 1937 11 Latitude Latitude NNP A34005 1937 12 , , , A34005 1937 13 So so RB A34005 1937 14 is be VBZ A34005 1937 15 the the DT A34005 1937 16 Cosine Cosine NNP A34005 1937 17 of of IN A34005 1937 18 the the DT A34005 1937 19 Declination Declination NNP A34005 1937 20 , , , A34005 1937 21 To to IN A34005 1937 22 a a DT A34005 1937 23 fourth fourth JJ A34005 1937 24 Sine Sine NNP A34005 1937 25 . . . A34005 1938 1 Namely namely RB A34005 1938 2 , , , A34005 1938 3 The the DT A34005 1938 4 difference difference NN A34005 1938 5 of of IN A34005 1938 6 the the DT A34005 1938 7 Sines Sines NNPS A34005 1938 8 of of IN A34005 1938 9 the the DT A34005 1938 10 Suns Suns NNP A34005 1938 11 Meridian Meridian NNP A34005 1938 12 Altitude Altitude NNP A34005 1938 13 , , , A34005 1938 14 and and CC A34005 1938 15 of of IN A34005 1938 16 his -PRON- PRP$ A34005 1938 17 Altitude altitude NN A34005 1938 18 at at IN A34005 1938 19 6 6 CD A34005 1938 20 in in IN A34005 1938 21 Summer Summer NNP A34005 1938 22 , , , A34005 1938 23 but but CC A34005 1938 24 the the DT A34005 1938 25 sum sum NN A34005 1938 26 of of IN A34005 1938 27 the the DT A34005 1938 28 Sines Sines NNPS A34005 1938 29 of of IN A34005 1938 30 his -PRON- PRP$ A34005 1938 31 Depression Depression NNP A34005 1938 32 at at IN A34005 1938 33 6 6 CD A34005 1938 34 , , , A34005 1938 35 and and CC A34005 1938 36 Winter Winter NNP A34005 1938 37 Meridian Meridian NNP A34005 1938 38 Altitude Altitude NNP A34005 1938 39 , , , A34005 1938 40 hereby hereby RB A34005 1938 41 we -PRON- PRP A34005 1938 42 may may MD A34005 1938 43 obtain obtain VB A34005 1938 44 the the DT A34005 1938 45 point point NN A34005 1938 46 of of IN A34005 1938 47 Entrance Entrance NNP A34005 1938 48 and and CC A34005 1938 49 Altitude Altitude NNP A34005 1938 50 , , , A34005 1938 51 or or CC A34005 1938 52 Depression depression NN A34005 1938 53 at at IN A34005 1938 54 6 6 CD A34005 1938 55 , , , A34005 1938 56 as as IN A34005 1938 57 before before RB A34005 1938 58 , , , A34005 1938 59 and and CC A34005 1938 60 let let VB A34005 1938 61 them -PRON- PRP A34005 1938 62 be be VB A34005 1938 63 recorded record VBN A34005 1938 64 , , , A34005 1938 65 then then RB A34005 1938 66 it -PRON- PRP A34005 1938 67 holds hold VBZ A34005 1938 68 , , , A34005 1938 69 As as IN A34005 1938 70 the the DT A34005 1938 71 Radius Radius NNP A34005 1938 72 , , , A34005 1938 73 Is be VBZ A34005 1938 74 to to IN A34005 1938 75 the the DT A34005 1938 76 Sine Sine NNP A34005 1938 77 of of IN A34005 1938 78 the the DT A34005 1938 79 Hour Hour NNP A34005 1938 80 from from IN A34005 1938 81 6 6 CD A34005 1938 82 , , , A34005 1938 83 So so RB A34005 1938 84 is be VBZ A34005 1938 85 that that IN A34005 1938 86 fourth fourth JJ A34005 1938 87 Sine Sine NNP A34005 1938 88 , , , A34005 1938 89 To to IN A34005 1938 90 the the DT A34005 1938 91 difference difference NN A34005 1938 92 of of IN A34005 1938 93 the the DT A34005 1938 94 Sines Sines NNPS A34005 1938 95 of of IN A34005 1938 96 the the DT A34005 1938 97 Suns Suns NNPS A34005 1938 98 Altitude Altitude NNP A34005 1938 99 at at IN A34005 1938 100 6 6 CD A34005 1938 101 , , , A34005 1938 102 and and CC A34005 1938 103 of of IN A34005 1938 104 his -PRON- PRP$ A34005 1938 105 Altitude altitude NN A34005 1938 106 sought seek VBD A34005 1938 107 ; ; : A34005 1938 108 But but CC A34005 1938 109 in in IN A34005 1938 110 Winter Winter NNP A34005 1938 111 , , , A34005 1938 112 To to IN A34005 1938 113 the the DT A34005 1938 114 sum sum NN A34005 1938 115 of of IN A34005 1938 116 the the DT A34005 1938 117 Sines Sines NNPS A34005 1938 118 of of IN A34005 1938 119 his -PRON- PRP$ A34005 1938 120 Depression Depression NNP A34005 1938 121 at at IN A34005 1938 122 6 6 CD A34005 1938 123 , , , A34005 1938 124 and and CC A34005 1938 125 of of IN A34005 1938 126 the the DT A34005 1938 127 Altitude altitude NN A34005 1938 128 sought seek VBD A34005 1938 129 . . . A34005 1939 1 Hereby Hereby NNP A34005 1939 2 we -PRON- PRP A34005 1939 3 may may MD A34005 1939 4 find find VB A34005 1939 5 two two CD A34005 1939 6 Altitudes altitude NNS A34005 1939 7 at at IN A34005 1939 8 a a DT A34005 1939 9 time time NN A34005 1939 10 . . . A34005 1940 1 Lay lay VB A34005 1940 2 the the DT A34005 1940 3 thred thre VBN A34005 1940 4 to to IN A34005 1940 5 the the DT A34005 1940 6 Hour Hour NNP A34005 1940 7 in in IN A34005 1940 8 the the DT A34005 1940 9 Limb Limb NNP A34005 1940 10 , , , A34005 1940 11 and and CC A34005 1940 12 from from IN A34005 1940 13 the the DT A34005 1940 14 point point NN A34005 1940 15 of of IN A34005 1940 16 Entrance entrance NN A34005 1940 17 , , , A34005 1940 18 take take VB A34005 1940 19 the the DT A34005 1940 20 nearest near JJS A34005 1940 21 distance distance NN A34005 1940 22 to to IN A34005 1940 23 it -PRON- PRP A34005 1940 24 , , , A34005 1940 25 the the DT A34005 1940 26 said say VBD A34005 1940 27 Extent Extent NNP A34005 1940 28 being be VBG A34005 1940 29 set set VBN A34005 1940 30 down down RP A34005 1940 31 at at IN A34005 1940 32 the the DT A34005 1940 33 Altitude altitude NN A34005 1940 34 at at IN A34005 1940 35 6 6 CD A34005 1940 36 , , , A34005 1940 37 shall shall MD A34005 1940 38 reach reach VB A34005 1940 39 upward upward RB A34005 1940 40 to to IN A34005 1940 41 the the DT A34005 1940 42 greater great JJR A34005 1940 43 Altitude Altitude NNP A34005 1940 44 , , , A34005 1940 45 and and CC A34005 1940 46 downward downward RB A34005 1940 47 , , , A34005 1940 48 to to IN A34005 1940 49 the the DT A34005 1940 50 lesser less JJR A34005 1940 51 Altitude altitude NN A34005 1940 52 . . . A34005 1941 1 Example example NN A34005 1941 2 . . . A34005 1942 1 Admit admit VB A34005 1942 2 the the DT A34005 1942 3 hour hour NN A34005 1942 4 to to TO A34005 1942 5 be be VB A34005 1942 6 5 5 CD A34005 1942 7 and and CC A34005 1942 8 7 7 CD A34005 1942 9 in in IN A34005 1942 10 the the DT A34005 1942 11 morning morning NN A34005 1942 12 , , , A34005 1942 13 the the DT A34005 1942 14 Altitudes Altitudes NNPS A34005 1942 15 thereto thereto NN A34005 1942 16 for for IN A34005 1942 17 20 20 CD A34005 1942 18 North North NNP A34005 1942 19 Declination declination NN A34005 1942 20 for for IN A34005 1942 21 the the DT A34005 1942 22 Latitude Latitude NNP A34005 1942 23 of of IN A34005 1942 24 Nottingham Nottingham NNP A34005 1942 25 , , , A34005 1942 26 will will MD A34005 1942 27 be be VB A34005 1942 28 found find VBN A34005 1942 29 to to TO A34005 1942 30 be be VB A34005 1942 31 7d 7d NNS A34005 1942 32 17′ 17′ CD A34005 1942 33 , , , A34005 1942 34 and and CC A34005 1942 35 24 24 CD A34005 1942 36 ● ● SYM A34005 1942 37 48′ 48′ CD A34005 1942 38 If if IN A34005 1942 39 the the DT A34005 1942 40 Hour Hour NNP A34005 1942 41 be be VBP A34005 1942 42 more more RBR A34005 1942 43 remote remote JJ A34005 1942 44 from from IN A34005 1942 45 6 6 CD A34005 1942 46 then then RB A34005 1942 47 the the DT A34005 1942 48 time time NN A34005 1942 49 of of IN A34005 1942 50 Rising rise VBG A34005 1942 51 , , , A34005 1942 52 we -PRON- PRP A34005 1942 53 may may MD A34005 1942 54 find find VB A34005 1942 55 a a DT A34005 1942 56 Winter Winter NNP A34005 1942 57 Altitude Altitude NNP A34005 1942 58 to to IN A34005 1942 59 as as RB A34005 1942 60 much much JJ A34005 1942 61 South South NNP A34005 1942 62 Declination Declination NNP A34005 1942 63 , , , A34005 1942 64 and and CC A34005 1942 65 a a DT A34005 1942 66 Summer Summer NNP A34005 1942 67 Altitude Altitude NNP A34005 1942 68 , , , A34005 1942 69 to to IN A34005 1942 70 the the DT A34005 1942 71 said say VBN A34005 1942 72 North North NNP A34005 1942 73 Declination Declination NNP A34005 1942 74 . . . A34005 1943 1 Thus thus RB A34005 1943 2 if if IN A34005 1943 3 the the DT A34005 1943 4 Hour hour NN A34005 1943 5 be be VBP A34005 1943 6 45d 45d NNS A34005 1943 7 from from IN A34005 1943 8 6 6 CD A34005 1943 9 , , , A34005 1943 10 that that WDT A34005 1943 11 is is RB A34005 1943 12 either either CC A34005 1943 13 9 9 CD A34005 1943 14 in in IN A34005 1943 15 the the DT A34005 1943 16 morning morning NN A34005 1943 17 , , , A34005 1943 18 or or CC A34005 1943 19 3 3 CD A34005 1943 20 in in IN A34005 1943 21 the the DT A34005 1943 22 afternoon afternoon NN A34005 1943 23 , , , A34005 1943 24 the the DT A34005 1943 25 nearest near JJS A34005 1943 26 distance distance NN A34005 1943 27 from from IN A34005 1943 28 the the DT A34005 1943 29 point point NN A34005 1943 30 of of IN A34005 1943 31 Entrance entrance NN A34005 1943 32 to to IN A34005 1943 33 the the DT A34005 1943 34 thred thre VBN A34005 1943 35 , , , A34005 1943 36 will will MD A34005 1943 37 reach reach VB A34005 1943 38 from from IN A34005 1943 39 the the DT A34005 1943 40 Sine Sine NNP A34005 1943 41 of of IN A34005 1943 42 15d 15d CD A34005 1943 43 51′ 51′ CD A34005 1943 44 , , , A34005 1943 45 the the DT A34005 1943 46 Altitude altitude NN A34005 1943 47 at at IN A34005 1943 48 6 6 CD A34005 1943 49 upwards upward NNS A34005 1943 50 , , , A34005 1943 51 to to IN A34005 1943 52 the the DT A34005 1943 53 Sine Sine NNP A34005 1943 54 of of IN A34005 1943 55 42d 42d CD A34005 1943 56 18′ 18′ CD A34005 1943 57 , , , A34005 1943 58 the the DT A34005 1943 59 Summer Summer NNP A34005 1943 60 Altitude Altitude NNP A34005 1943 61 to to IN A34005 1943 62 that that DT A34005 1943 63 Declination declination NN A34005 1943 64 : : : A34005 1943 65 But but CC A34005 1943 66 downwards downwards RB A34005 1943 67 , , , A34005 1943 68 it -PRON- PRP A34005 1943 69 reaches reach VBZ A34005 1943 70 beyond beyond IN A34005 1943 71 the the DT A34005 1943 72 Center Center NNP A34005 1943 73 : : : A34005 1943 74 In in IN A34005 1943 75 this this DT A34005 1943 76 case case NN A34005 1943 77 measure measure NN A34005 1943 78 , , , A34005 1943 79 that that DT A34005 1943 80 extent extent NN A34005 1943 81 from from IN A34005 1943 82 the the DT A34005 1943 83 Center Center NNP A34005 1943 84 , , , A34005 1943 85 and and CC A34005 1943 86 take take VB A34005 1943 87 the the DT A34005 1943 88 distance distance NN A34005 1943 89 between between IN A34005 1943 90 the the DT A34005 1943 91 inward inward JJ A34005 1943 92 foot foot NN A34005 1943 93 of of IN A34005 1943 94 the the DT A34005 1943 95 Compasses Compasses NNPS A34005 1943 96 , , , A34005 1943 97 and and CC A34005 1943 98 the the DT A34005 1943 99 Altitude altitude NN A34005 1943 100 at at IN A34005 1943 101 6 6 CD A34005 1943 102 ▪ ▪ NN A34005 1943 103 which which WDT A34005 1943 104 measured measure VBN A34005 1943 105 on on IN A34005 1943 106 the the DT A34005 1943 107 Sines Sines NNPS A34005 1943 108 , , , A34005 1943 109 will will MD A34005 1943 110 be be VB A34005 1943 111 found find VBN A34005 1943 112 to to TO A34005 1943 113 be be VB A34005 1943 114 7d 7d NNS A34005 1943 115 17′ 17′ CD A34005 1943 116 for for IN A34005 1943 117 the the DT A34005 1943 118 Winter Winter NNP A34005 1943 119 Altitude Altitude NNP A34005 1943 120 to to IN A34005 1943 121 that that DT A34005 1943 122 Hour Hour NNP A34005 1943 123 . . . A34005 1944 1 So so CC A34005 1944 2 if if IN A34005 1944 3 the the DT A34005 1944 4 hour hour NN A34005 1944 5 were be VBD A34005 1944 6 60d 60d NNS A34005 1944 7 from from IN A34005 1944 8 6 6 CD A34005 1944 9 , , , A34005 1944 10 that that WDT A34005 1944 11 is is RB A34005 1944 12 either either CC A34005 1944 13 10 10 CD A34005 1944 14 , , , A34005 1944 15 or or CC A34005 1944 16 2 2 CD A34005 1944 17 , , , A34005 1944 18 the the DT A34005 1944 19 Summer Summer NNP A34005 1944 20 Altitude Altitude NNP A34005 1944 21 would would MD A34005 1944 22 be be VB A34005 1944 23 found find VBN A34005 1944 24 to to TO A34005 1944 25 be be VB A34005 1944 26 49d 49d NNS A34005 1944 27 42′ 42′ CD A34005 1944 28 , , , A34005 1944 29 and and CC A34005 1944 30 the the DT A34005 1944 31 Winter Winter NNP A34005 1944 32 Altitude Altitude NNP A34005 1944 33 12d 12d NNPS A34005 1944 34 30′ 30′ CD A34005 1944 35 . . . A34005 1945 1 And and CC A34005 1945 2 this this DT A34005 1945 3 may may MD A34005 1945 4 be be VB A34005 1945 5 found find VBN A34005 1945 6 in in IN A34005 1945 7 the the DT A34005 1945 8 Versed Versed NNP A34005 1945 9 Sines Sines NNPS A34005 1945 10 on on IN A34005 1945 11 the the DT A34005 1945 12 left left JJ A34005 1945 13 edge edge NN A34005 1945 14 , , , A34005 1945 15 accounted account VBD A34005 1945 16 as as IN A34005 1945 17 a a DT A34005 1945 18 Sine Sine NNP A34005 1945 19 each each DT A34005 1945 20 way way NN A34005 1945 21 from from IN A34005 1945 22 the the DT A34005 1945 23 middle middle NN A34005 1945 24 , , , A34005 1945 25 if if IN A34005 1945 26 use use NN A34005 1945 27 be be VB A34005 1945 28 made make VBN A34005 1945 29 of of IN A34005 1945 30 the the DT A34005 1945 31 lesser less JJR A34005 1945 32 Sines Sines NNP A34005 1945 33 , , , A34005 1945 34 instead instead RB A34005 1945 35 of of IN A34005 1945 36 the the DT A34005 1945 37 Limb Limb NNP A34005 1945 38 , , , A34005 1945 39 in in IN A34005 1945 40 finding find VBG A34005 1945 41 the the DT A34005 1945 42 point point NN A34005 1945 43 of of IN A34005 1945 44 Entrance entrance NN A34005 1945 45 , , , A34005 1945 46 as as IN A34005 1945 47 also also RB A34005 1945 48 , , , A34005 1945 49 in in IN A34005 1945 50 laying lay VBG A34005 1945 51 it -PRON- PRP A34005 1945 52 to to IN A34005 1945 53 the the DT A34005 1945 54 Sine Sine NNP A34005 1945 55 of of IN A34005 1945 56 each each DT A34005 1945 57 hour hour NN A34005 1945 58 from from IN A34005 1945 59 6 6 CD A34005 1945 60 , , , A34005 1945 61 in in IN A34005 1945 62 which which WDT A34005 1945 63 case case NN A34005 1945 64 the the DT A34005 1945 65 Compasses compass NNS A34005 1945 66 will will MD A34005 1945 67 alwaies alwaie NNS A34005 1945 68 find find VB A34005 1945 69 two two CD A34005 1945 70 Altitudes altitude NNS A34005 1945 71 at at IN A34005 1945 72 once once RB A34005 1945 73 ; ; , A34005 1945 74 for for IN A34005 1945 75 when when WRB A34005 1945 76 they -PRON- PRP A34005 1945 77 fall fall VBP A34005 1945 78 beyond beyond IN A34005 1945 79 the the DT A34005 1945 80 midst midst NN A34005 1945 81 of of IN A34005 1945 82 the the DT A34005 1945 83 said say VBN A34005 1945 84 Line Line NNP A34005 1945 85 , , , A34005 1945 86 it -PRON- PRP A34005 1945 87 shews shew VBZ A34005 1945 88 the the DT A34005 1945 89 Winter Winter NNP A34005 1945 90 Altitudes Altitudes NNPS A34005 1945 91 counted count VBN A34005 1945 92 from from IN A34005 1945 93 thence thence NN A34005 1945 94 towards towards IN A34005 1945 95 the the DT A34005 1945 96 end end NN A34005 1945 97 of of IN A34005 1945 98 the the DT A34005 1945 99 said say VBN A34005 1945 100 Versed Versed NNP A34005 1945 101 Sines Sines NNP A34005 1945 102 . . . A34005 1946 1 Having have VBG A34005 1946 2 found find VBN A34005 1946 3 the the DT A34005 1946 4 fourth fourth JJ A34005 1946 5 Sine Sine NNP A34005 1946 6 , , , A34005 1946 7 which which WDT A34005 1946 8 gives give VBZ A34005 1946 9 the the DT A34005 1946 10 point point NN A34005 1946 11 of of IN A34005 1946 12 Entrance entrance NN A34005 1946 13 as as IN A34005 1946 14 before before RB A34005 1946 15 , , , A34005 1946 16 the the DT A34005 1946 17 Altitudes altitude NNS A34005 1946 18 on on IN A34005 1946 19 all all DT A34005 1946 20 hours hour NNS A34005 1946 21 may may MD A34005 1946 22 be be VB A34005 1946 23 found find VBN A34005 1946 24 by by IN A34005 1946 25 the the DT A34005 1946 26 Versed Versed NNP A34005 1946 27 Sines Sines NNPS A34005 1946 28 of of IN A34005 1946 29 90d 90d NNPS A34005 1946 30 in in IN A34005 1946 31 the the DT A34005 1946 32 Limb Limb NNP A34005 1946 33 , , , A34005 1946 34 the the DT A34005 1946 35 Proportion proportion NN A34005 1946 36 will will MD A34005 1946 37 be be VB A34005 1946 38 , , , A34005 1946 39 As as IN A34005 1946 40 the the DT A34005 1946 41 Radius Radius NNP A34005 1946 42 , , , A34005 1946 43 Is be VBZ A34005 1946 44 to to IN A34005 1946 45 the the DT A34005 1946 46 Versed Versed NNP A34005 1946 47 Sine Sine NNP A34005 1946 48 of of IN A34005 1946 49 the the DT A34005 1946 50 Hour Hour NNP A34005 1946 51 from from IN A34005 1946 52 Noon Noon NNP A34005 1946 53 , , , A34005 1946 54 So so RB A34005 1946 55 is be VBZ A34005 1946 56 the the DT A34005 1946 57 fourth fourth JJ A34005 1946 58 abovesaid abovesaid NN A34005 1946 59 , , , A34005 1946 60 To to IN A34005 1946 61 the the DT A34005 1946 62 difference difference NN A34005 1946 63 of of IN A34005 1946 64 the the DT A34005 1946 65 Sines Sines NNPS A34005 1946 66 of of IN A34005 1946 67 the the DT A34005 1946 68 Meridian Meridian NNP A34005 1946 69 Altitude Altitude NNP A34005 1946 70 , , , A34005 1946 71 and and CC A34005 1946 72 of of IN A34005 1946 73 the the DT A34005 1946 74 Altitude altitude NN A34005 1946 75 sought seek VBD A34005 1946 76 . . . A34005 1947 1 But but CC A34005 1947 2 for for IN A34005 1947 3 hours hour NNS A34005 1947 4 beyond beyond IN A34005 1947 5 6 6 CD A34005 1947 6 , , , A34005 1947 7 the the DT A34005 1947 8 Proportion proportion NN A34005 1947 9 will will MD A34005 1947 10 be be VB A34005 1947 11 , , , A34005 1947 12 As as IN A34005 1947 13 the the DT A34005 1947 14 Radius Radius NNP A34005 1947 15 , , , A34005 1947 16 Is be VBZ A34005 1947 17 to to IN A34005 1947 18 the the DT A34005 1947 19 Versed Versed NNP A34005 1947 20 Sine Sine NNP A34005 1947 21 of of IN A34005 1947 22 the the DT A34005 1947 23 Hour Hour NNP A34005 1947 24 from from IN A34005 1947 25 Midnight Midnight NNP A34005 1947 26 , , , A34005 1947 27 So so RB A34005 1947 28 is be VBZ A34005 1947 29 the the DT A34005 1947 30 fourth fourth JJ A34005 1947 31 abovesaid abovesaid NN A34005 1947 32 , , , A34005 1947 33 To to IN A34005 1947 34 the the DT A34005 1947 35 sum sum NN A34005 1947 36 of of IN A34005 1947 37 the the DT A34005 1947 38 Sines Sines NNPS A34005 1947 39 of of IN A34005 1947 40 the the DT A34005 1947 41 Suns Suns NNP A34005 1947 42 Depression Depression NNP A34005 1947 43 at at IN A34005 1947 44 Midnight Midnight NNP A34005 1947 45 ( ( -LRB- A34005 1947 46 equal equal JJ A34005 1947 47 to to IN A34005 1947 48 his -PRON- PRP$ A34005 1947 49 Winter Winter NNP A34005 1947 50 Meridian Meridian NNP A34005 1947 51 Altitude Altitude NNP A34005 1947 52 , , , A34005 1947 53 ) ) -RRB- A34005 1947 54 and and CC A34005 1947 55 of of IN A34005 1947 56 his -PRON- PRP$ A34005 1947 57 Altitude altitude NN A34005 1947 58 sought seek VBD A34005 1947 59 , , , A34005 1947 60 Hereby Hereby NNP A34005 1947 61 also also RB A34005 1947 62 we -PRON- PRP A34005 1947 63 may may MD A34005 1947 64 find find VB A34005 1947 65 two two CD A34005 1947 66 Altitudes altitude NNS A34005 1947 67 at at IN A34005 1947 68 once once RB A34005 1947 69 . . . A34005 1948 1 Operation operation NN A34005 1948 2 . . . A34005 1949 1 Lay lay VB A34005 1949 2 the the DT A34005 1949 3 thred thre VBN A34005 1949 4 to to IN A34005 1949 5 the the DT A34005 1949 6 Versed Versed NNP A34005 1949 7 Sine Sine NNP A34005 1949 8 of of IN A34005 1949 9 the the DT A34005 1949 10 Hour Hour NNP A34005 1949 11 from from IN A34005 1949 12 Noon Noon NNP A34005 1949 13 , , , A34005 1949 14 and and CC A34005 1949 15 from from IN A34005 1949 16 the the DT A34005 1949 17 point point NN A34005 1949 18 of of IN A34005 1949 19 Entrance entrance NN A34005 1949 20 at at IN A34005 1949 21 34d 34d NNS A34005 1949 22 25′ 25′ CD A34005 1949 23 , , , A34005 1949 24 take take VB A34005 1949 25 the the DT A34005 1949 26 nearest near JJS A34005 1949 27 distance distance NN A34005 1949 28 to to IN A34005 1949 29 it -PRON- PRP A34005 1949 30 , , , A34005 1949 31 the the DT A34005 1949 32 said say VBN A34005 1949 33 Extent extent NN A34005 1949 34 shall shall MD A34005 1949 35 reach reach VB A34005 1949 36 from from IN A34005 1949 37 the the DT A34005 1949 38 Summer Summer NNP A34005 1949 39 Meridian Meridian NNP A34005 1949 40 Altitude Altitude NNP A34005 1949 41 , , , A34005 1949 42 accounted account VBD A34005 1949 43 in in IN A34005 1949 44 the the DT A34005 1949 45 Sines Sines NNPS A34005 1949 46 to to IN A34005 1949 47 the the DT A34005 1949 48 Altitude altitude NN A34005 1949 49 sought seek VBD A34005 1949 50 , , , A34005 1949 51 also also RB A34005 1949 52 from from IN A34005 1949 53 the the DT A34005 1949 54 Winter Winter NNP A34005 1949 55 Meridian Meridian NNP A34005 1949 56 Altitude Altitude NNP A34005 1949 57 , , , A34005 1949 58 to to IN A34005 1949 59 the the DT A34005 1949 60 Altitude altitude NN A34005 1949 61 sought seek VBD A34005 1949 62 . . . A34005 1950 1 Example example NN A34005 1950 2 . . . A34005 1951 1 Latitude Latitude NNP A34005 1951 2 of of IN A34005 1951 3 Nottingham Nottingham NNP A34005 1951 4 is be VBZ A34005 1951 5 53d 53d NNS A34005 1951 6 , , , A34005 1951 7 Complement Complement NNP A34005 1951 8 — — : A34005 1951 9 37 37 CD A34005 1951 10 ● ● SYM A34005 1951 11 Suns Suns NNPS A34005 1951 12 Declination Declination NNP A34005 1951 13 , , , A34005 1951 14 — — : A34005 1951 15 20 20 CD A34005 1951 16 Sum Sum NNP A34005 1951 17 being be VBG A34005 1951 18 the the DT A34005 1951 19 Summer Summer NNP A34005 1951 20 Meridian Meridian NNP A34005 1951 21 Altitude Altitude NNP A34005 1951 22 — — : A34005 1951 23 57d 57d NNS A34005 1951 24 Difference Difference NNP A34005 1951 25 being be VBG A34005 1951 26 Winter Winter NNP A34005 1951 27 Meridian Meridian NNP A34005 1951 28 Altitude Altitude NNP A34005 1951 29 17 17 CD A34005 1951 30 If if IN A34005 1951 31 it -PRON- PRP A34005 1951 32 were be VBD A34005 1951 33 required require VBN A34005 1951 34 to to TO A34005 1951 35 find find VB A34005 1951 36 the the DT A34005 1951 37 Altitudes altitude NNS A34005 1951 38 for for IN A34005 1951 39 the the DT A34005 1951 40 hours hour NNS A34005 1951 41 of of IN A34005 1951 42 11 11 CD A34005 1951 43 and and CC A34005 1951 44 1 1 CD A34005 1951 45 The the DT A34005 1951 46 Extents extent NNS A34005 1951 47 so so RB A34005 1951 48 taken take VBN A34005 1951 49 out out RP A34005 1951 50 will will MD A34005 1951 51 find find VB A34005 1951 52 the the DT A34005 1951 53 Summer Summer NNP A34005 1951 54 Altitudes Altitudes NNPS A34005 1951 55 to to TO A34005 1951 56 be be VB A34005 1951 57 — — : A34005 1951 58 55 55 CD A34005 1951 59 ● ● CD A34005 1951 60 00′ 00′ CD A34005 1951 61 And and CC A34005 1951 62 the the DT A34005 1951 63 Winter Winter NNP A34005 1951 64 Altitudes Altitudes NNPS A34005 1951 65 to to IN A34005 1951 66 the the DT A34005 1951 67 same same JJ A34005 1951 68 hours hour NNS A34005 1951 69 and and CC A34005 1951 70 Declination Declination NNP A34005 1951 71 — — : A34005 1951 72 15 15 CD A34005 1951 73 ● ● SYM A34005 1951 74 51 51 CD A34005 1951 75 ● ● SYM A34005 1951 76 10 10 CD A34005 1951 77 and and CC A34005 1951 78 2 2 CD A34005 1951 79 The the DT A34005 1951 80 Extents extent NNS A34005 1951 81 so so RB A34005 1951 82 taken take VBN A34005 1951 83 out out RP A34005 1951 84 will will MD A34005 1951 85 find find VB A34005 1951 86 the the DT A34005 1951 87 Summer Summer NNP A34005 1951 88 Altitudes Altitudes NNPS A34005 1951 89 to to TO A34005 1951 90 be be VB A34005 1951 91 — — : A34005 1951 92 49 49 CD A34005 1951 93 , , , A34005 1951 94 42 42 CD A34005 1951 95 And and CC A34005 1951 96 the the DT A34005 1951 97 Winter Winter NNP A34005 1951 98 Altitudes Altitudes NNPS A34005 1951 99 to to IN A34005 1951 100 the the DT A34005 1951 101 same same JJ A34005 1951 102 hours hour NNS A34005 1951 103 and and CC A34005 1951 104 Declination declination NN A34005 1951 105 — — : A34005 1951 106 12 12 CD A34005 1951 107 , , , A34005 1951 108 30 30 CD A34005 1951 109 9 9 CD A34005 1951 110 and and CC A34005 1951 111 3 3 CD A34005 1951 112 The the DT A34005 1951 113 Extents extent NNS A34005 1951 114 so so RB A34005 1951 115 taken take VBN A34005 1951 116 out out RP A34005 1951 117 will will MD A34005 1951 118 find find VB A34005 1951 119 the the DT A34005 1951 120 Summer Summer NNP A34005 1951 121 Altitudes Altitudes NNPS A34005 1951 122 to to TO A34005 1951 123 be be VB A34005 1951 124 — — : A34005 1951 125 42 42 CD A34005 1951 126 , , , A34005 1951 127 18 18 CD A34005 1951 128 And and CC A34005 1951 129 the the DT A34005 1951 130 Winter Winter NNP A34005 1951 131 Altitudes Altitudes NNPS A34005 1951 132 to to IN A34005 1951 133 the the DT A34005 1951 134 same same JJ A34005 1951 135 hours hour NNS A34005 1951 136 and and CC A34005 1951 137 Declination Declination NNP A34005 1951 138 — — : A34005 1951 139 7 7 CD A34005 1951 140 , , , A34005 1951 141 17 17 CD A34005 1951 142 8 8 CD A34005 1951 143 and and CC A34005 1951 144 4 4 CD A34005 1951 145 The the DT A34005 1951 146 Extents extent NNS A34005 1951 147 so so RB A34005 1951 148 taken take VBN A34005 1951 149 out out RP A34005 1951 150 will will MD A34005 1951 151 find find VB A34005 1951 152 the the DT A34005 1951 153 Summer Summer NNP A34005 1951 154 Altitudes Altitudes NNPS A34005 1951 155 to to TO A34005 1951 156 be be VB A34005 1951 157 — — : A34005 1951 158 33 33 CD A34005 1951 159 , , , A34005 1951 160 47 47 CD A34005 1951 161 And and CC A34005 1951 162 the the DT A34005 1951 163 Winter Winter NNP A34005 1951 164 Altitudes Altitudes NNPS A34005 1951 165 to to IN A34005 1951 166 the the DT A34005 1951 167 same same JJ A34005 1951 168 hours hour NNS A34005 1951 169 and and CC A34005 1951 170 Declination Declination NNP A34005 1951 171 — — : A34005 1951 172 00 00 CD A34005 1951 173 , , , A34005 1951 174 32 32 CD A34005 1951 175 But but CC A34005 1951 176 for for IN A34005 1951 177 hours hour NNS A34005 1951 178 more more RBR A34005 1951 179 remote remote JJ A34005 1951 180 from from IN A34005 1951 181 the the DT A34005 1951 182 Meridian Meridian NNP A34005 1951 183 then then RB A34005 1951 184 6 6 CD A34005 1951 185 , , , A34005 1951 186 as as IN A34005 1951 187 admit admit NN A34005 1951 188 for for IN A34005 1951 189 5 5 CD A34005 1951 190 in in IN A34005 1951 191 the the DT A34005 1951 192 morning morning NN A34005 1951 193 , , , A34005 1951 194 or or CC A34005 1951 195 7 7 CD A34005 1951 196 at at IN A34005 1951 197 night night NN A34005 1951 198 , , , A34005 1951 199 which which WDT A34005 1951 200 is be VBZ A34005 1951 201 75d 75d NNS A34005 1951 202 from from IN A34005 1951 203 the the DT A34005 1951 204 North North NNP A34005 1951 205 Meridian Meridian NNP A34005 1951 206 ; ; : A34005 1951 207 lay lie VBD A34005 1951 208 the the DT A34005 1951 209 thred thre VBN A34005 1951 210 to to IN A34005 1951 211 the the DT A34005 1951 212 said say VBN A34005 1951 213 Ark Ark NNP A34005 1951 214 in in IN A34005 1951 215 the the DT A34005 1951 216 Versed Versed NNP A34005 1951 217 Sine Sine NNP A34005 1951 218 of of IN A34005 1951 219 90d 90d CD A34005 1951 220 , , , A34005 1951 221 and and CC A34005 1951 222 the the DT A34005 1951 223 distance distance NN A34005 1951 224 from from IN A34005 1951 225 the the DT A34005 1951 226 point point NN A34005 1951 227 of of IN A34005 1951 228 Entrance entrance NN A34005 1951 229 to to IN A34005 1951 230 it -PRON- PRP A34005 1951 231 , , , A34005 1951 232 shall shall MD A34005 1951 233 reach reach VB A34005 1951 234 from from IN A34005 1951 235 the the DT A34005 1951 236 Sine Sine NNP A34005 1951 237 of of IN A34005 1951 238 57d 57d NNS A34005 1951 239 , , , A34005 1951 240 the the DT A34005 1951 241 Meridian Meridian NNP A34005 1951 242 Altitude Altitude NNP A34005 1951 243 , , , A34005 1951 244 to to IN A34005 1951 245 the the DT A34005 1951 246 Sine Sine NNP A34005 1951 247 of of IN A34005 1951 248 24d 24d CD A34005 1951 249 48′ 48′ CD A34005 1951 250 , , , A34005 1951 251 the the DT A34005 1951 252 Summer Summer NNP A34005 1951 253 Altitude Altitude NNP A34005 1951 254 for for IN A34005 1951 255 the the DT A34005 1951 256 Hour hour NN A34005 1951 257 75d 75d CD A34005 1951 258 from from IN A34005 1951 259 Noon Noon NNP A34005 1951 260 , , , A34005 1951 261 and and CC A34005 1951 262 if if IN A34005 1951 263 that that DT A34005 1951 264 Extent extent NN A34005 1951 265 be be VB A34005 1951 266 pricked prick VBN A34005 1951 267 from from IN A34005 1951 268 the the DT A34005 1951 269 Winter Winter NNP A34005 1951 270 Meridian Meridian NNP A34005 1951 271 Altitude Altitude NNP A34005 1951 272 , , , A34005 1951 273 it -PRON- PRP A34005 1951 274 will will MD A34005 1951 275 reach reach VB A34005 1951 276 beyond beyond IN A34005 1951 277 the the DT A34005 1951 278 Center Center NNP A34005 1951 279 , , , A34005 1951 280 in in IN A34005 1951 281 which which WDT A34005 1951 282 case case NN A34005 1951 283 , , , A34005 1951 284 enter enter VB A34005 1951 285 that that DT A34005 1951 286 Extent extent NN A34005 1951 287 upon upon IN A34005 1951 288 the the DT A34005 1951 289 Line Line NNP A34005 1951 290 of of IN A34005 1951 291 Sines Sines NNPS A34005 1951 292 , , , A34005 1951 293 and and CC A34005 1951 294 take take VB A34005 1951 295 the the DT A34005 1951 296 distance distance NN A34005 1951 297 between between IN A34005 1951 298 the the DT A34005 1951 299 point point NN A34005 1951 300 of of IN A34005 1951 301 limitation limitation NN A34005 1951 302 and and CC A34005 1951 303 17d 17d NNS A34005 1951 304 , , , A34005 1951 305 which which WDT A34005 1951 306 will will MD A34005 1951 307 ( ( -LRB- A34005 1951 308 being be VBG A34005 1951 309 measured measure VBN A34005 1951 310 ) ) -RRB- A34005 1951 311 be be VB A34005 1951 312 found find VBN A34005 1951 313 to to TO A34005 1951 314 be be VB A34005 1951 315 the the DT A34005 1951 316 Sine Sine NNP A34005 1951 317 of of IN A34005 1951 318 7d 7d NNPS A34005 1951 319 17′ 17′ CD A34005 1951 320 , , , A34005 1951 321 the the DT A34005 1951 322 Altitude altitude NN A34005 1951 323 belonging belong VBG A34005 1951 324 to to IN A34005 1951 325 the the DT A34005 1951 326 hour hour NN A34005 1951 327 105 105 CD A34005 1951 328 from from IN A34005 1951 329 Noon Noon NNP A34005 1951 330 . . . A34005 1952 1 In in IN A34005 1952 2 like like JJ A34005 1952 3 manner manner NN A34005 1952 4 , , , A34005 1952 5 the the DT A34005 1952 6 Altitudes Altitudes NNPS A34005 1952 7 for for IN A34005 1952 8 the the DT A34005 1952 9 hours hour NNS A34005 1952 10 97d 97d CD A34005 1952 11 30 30 CD A34005 1952 12 from from IN A34005 1952 13 Noon Noon NNP A34005 1952 14 that that WDT A34005 1952 15 is be VBZ A34005 1952 16 82d 82d NNS A34005 1952 17 30′ 30′ CD A34005 1952 18 from from IN A34005 1952 19 Midnight Midnight NNP A34005 1952 20 , , , A34005 1952 21 will will MD A34005 1952 22 be be VB A34005 1952 23 11d 11d NNS A34005 1952 24 31′ 31′ CD A34005 1952 25 and and CC A34005 1952 26 for for IN A34005 1952 27 the the DT A34005 1952 28 like like JJ A34005 1952 29 hours hour NNS A34005 1952 30 from from IN A34005 1952 31 Noon Noon NNP A34005 1952 32 20d 20d NNP A34005 1952 33 17′ 17′ CD A34005 1952 34 112 112 CD A34005 1952 35 , , , A34005 1952 36 30 30 CD A34005 1952 37 from from IN A34005 1952 38 Noon Noon NNP A34005 1952 39 that that WDT A34005 1952 40 is be VBZ A34005 1952 41 67 67 CD A34005 1952 42 , , , A34005 1952 43 30 30 CD A34005 1952 44 from from IN A34005 1952 45 Midnight Midnight NNP A34005 1952 46 , , , A34005 1952 47 will will MD A34005 1952 48 be be VB A34005 1952 49 3 3 CD A34005 1952 50 : : SYM A34005 1952 51 15 15 CD A34005 1952 52 and and CC A34005 1952 53 for for IN A34005 1952 54 the the DT A34005 1952 55 like like JJ A34005 1952 56 hours hour NNS A34005 1952 57 from from IN A34005 1952 58 Noon Noon NNP A34005 1952 59 29 29 CD A34005 1952 60 : : SYM A34005 1952 61 19 19 CD A34005 1952 62 In in IN A34005 1952 63 like like JJ A34005 1952 64 manner manner NN A34005 1952 65 , , , A34005 1952 66 it -PRON- PRP A34005 1952 67 might may MD A34005 1952 68 have have VB A34005 1952 69 been be VBN A34005 1952 70 found find VBN A34005 1952 71 in in IN A34005 1952 72 the the DT A34005 1952 73 Versed Versed NNP A34005 1952 74 Sines Sines NNPS A34005 1952 75 issuing issue VBG A34005 1952 76 from from IN A34005 1952 77 the the DT A34005 1952 78 Center Center NNP A34005 1952 79 , , , A34005 1952 80 if if IN A34005 1952 81 in in IN A34005 1952 82 finding find VBG A34005 1952 83 the the DT A34005 1952 84 point point NN A34005 1952 85 of of IN A34005 1952 86 Entrance entrance NN A34005 1952 87 , , , A34005 1952 88 and and CC A34005 1952 89 in in IN A34005 1952 90 laying lay VBG A34005 1952 91 the the DT A34005 1952 92 thred thre VBN A34005 1952 93 to to IN A34005 1952 94 the the DT A34005 1952 95 Versed Versed NNP A34005 1952 96 Sine Sine NNP A34005 1952 97 of of IN A34005 1952 98 the the DT A34005 1952 99 Hour Hour NNP A34005 1952 100 , , , A34005 1952 101 we -PRON- PRP A34005 1952 102 make make VBP A34005 1952 103 use use NN A34005 1952 104 of of IN A34005 1952 105 the the DT A34005 1952 106 lesser less JJR A34005 1952 107 Sines Sines NNPS A34005 1952 108 , , , A34005 1952 109 and and CC A34005 1952 110 of of IN A34005 1952 111 the the DT A34005 1952 112 Versed Versed NNP A34005 1952 113 Sine Sine NNP A34005 1952 114 of of IN A34005 1952 115 180d 180d NNPS A34005 1952 116 in in IN A34005 1952 117 the the DT A34005 1952 118 Limb Limb NNP A34005 1952 119 . . . A34005 1953 1 For for IN A34005 1953 2 the the DT A34005 1953 3 Azimuth Azimuth NNP A34005 1953 4 . . . A34005 1954 1 Two two CD A34005 1954 2 of of IN A34005 1954 3 the the DT A34005 1954 4 former former JJ A34005 1954 5 Proportions Proportions NNPS A34005 1954 6 may may MD A34005 1954 7 be be VB A34005 1954 8 conveniently conveniently RB A34005 1954 9 applied apply VBN A34005 1954 10 to to IN A34005 1954 11 other other JJ A34005 1954 12 sides side NNS A34005 1954 13 , , , A34005 1954 14 for for IN A34005 1954 15 finding find VBG A34005 1954 16 the the DT A34005 1954 17 Azimuth Azimuth NNP A34005 1954 18 universally universally RB A34005 1954 19 . . . A34005 1955 1 As as IN A34005 1955 2 the the DT A34005 1955 3 Radius Radius NNP A34005 1955 4 , , , A34005 1955 5 Is be VBZ A34005 1955 6 to to IN A34005 1955 7 the the DT A34005 1955 8 Cosine Cosine NNP A34005 1955 9 of of IN A34005 1955 10 the the DT A34005 1955 11 Latitude Latitude NNP A34005 1955 12 , , , A34005 1955 13 So so RB A34005 1955 14 is be VBZ A34005 1955 15 the the DT A34005 1955 16 Cosine Cosine NNP A34005 1955 17 of of IN A34005 1955 18 the the DT A34005 1955 19 Altitude altitude NN A34005 1955 20 , , , A34005 1955 21 To to IN A34005 1955 22 a a DT A34005 1955 23 fourth fourth JJ A34005 1955 24 Sine Sine NNP A34005 1955 25 . . . A34005 1956 1 Get get VB A34005 1956 2 the the DT A34005 1956 3 sum sum NN A34005 1956 4 of of IN A34005 1956 5 the the DT A34005 1956 6 Altitude Altitude NNP A34005 1956 7 and and CC A34005 1956 8 Colatitude Colatitude NNP A34005 1956 9 ; ; : A34005 1956 10 or or CC A34005 1956 11 , , , A34005 1956 12 which which WDT A34005 1956 13 is be VBZ A34005 1956 14 all all DT A34005 1956 15 one one CD A34005 1956 16 , , , A34005 1956 17 the the DT A34005 1956 18 sum sum NN A34005 1956 19 of of IN A34005 1956 20 the the DT A34005 1956 21 Latitude Latitude NNP A34005 1956 22 and and CC A34005 1956 23 Colatitude Colatitude NNP A34005 1956 24 ; ; : A34005 1956 25 and and CC A34005 1956 26 if if IN A34005 1956 27 it -PRON- PRP A34005 1956 28 exceeds exceed VBZ A34005 1956 29 a a DT A34005 1956 30 Quadrant Quadrant NNP A34005 1956 31 , , , A34005 1956 32 take take VB A34005 1956 33 its -PRON- PRP$ A34005 1956 34 Complement Complement NNP A34005 1956 35 to to IN A34005 1956 36 a a DT A34005 1956 37 Semicircle semicircle NN A34005 1956 38 : : : A34005 1956 39 This this DT A34005 1956 40 fourth fourth JJ A34005 1956 41 Sine Sine NNP A34005 1956 42 is be VBZ A34005 1956 43 equal equal JJ A34005 1956 44 to to IN A34005 1956 45 the the DT A34005 1956 46 difference difference NN A34005 1956 47 of of IN A34005 1956 48 the the DT A34005 1956 49 Sines Sines NNPS A34005 1956 50 of of IN A34005 1956 51 this this DT A34005 1956 52 Compound Compound NNP A34005 1956 53 Ark Ark NNP A34005 1956 54 , , , A34005 1956 55 and and CC A34005 1956 56 of of IN A34005 1956 57 another another DT A34005 1956 58 Ark Ark NNP A34005 1956 59 to to TO A34005 1956 60 be be VB A34005 1956 61 thereby thereby RB A34005 1956 62 found find VBN A34005 1956 63 , , , A34005 1956 64 called call VBN A34005 1956 65 the the DT A34005 1956 66 latter latter JJ A34005 1956 67 Ark. Arkansas NNP A34005 1957 1 Then then RB A34005 1957 2 it -PRON- PRP A34005 1957 3 holds hold VBZ A34005 1957 4 , , , A34005 1957 5 As as IN A34005 1957 6 the the DT A34005 1957 7 fourth fourth JJ A34005 1957 8 Sine Sine NNP A34005 1957 9 , , , A34005 1957 10 Is be VBZ A34005 1957 11 to to IN A34005 1957 12 the the DT A34005 1957 13 Radius Radius NNP A34005 1957 14 , , , A34005 1957 15 So so CC A34005 1957 16 in in IN A34005 1957 17 Summer Summer NNP A34005 1957 18 is be VBZ A34005 1957 19 the the DT A34005 1957 20 difference difference NN A34005 1957 21 , , , A34005 1957 22 but but CC A34005 1957 23 in in IN A34005 1957 24 Winter Winter NNP A34005 1957 25 , , , A34005 1957 26 the the DT A34005 1957 27 sum sum NN A34005 1957 28 of of IN A34005 1957 29 the the DT A34005 1957 30 Sines Sines NNPS A34005 1957 31 of of IN A34005 1957 32 this this DT A34005 1957 33 latter latter JJ A34005 1957 34 Ark Ark NNP A34005 1957 35 , , , A34005 1957 36 and and CC A34005 1957 37 of of IN A34005 1957 38 the the DT A34005 1957 39 given give VBN A34005 1957 40 Declination declination NN A34005 1957 41 , , , A34005 1957 42 To to IN A34005 1957 43 the the DT A34005 1957 44 Sine Sine NNP A34005 1957 45 of of IN A34005 1957 46 the the DT A34005 1957 47 Azimuth Azimuth NNP A34005 1957 48 from from IN A34005 1957 49 the the DT A34005 1957 50 Vertical Vertical NNP A34005 1957 51 . . . A34005 1958 1 When when WRB A34005 1958 2 the the DT A34005 1958 3 latter latter JJ A34005 1958 4 Ark Ark NNP A34005 1958 5 is be VBZ A34005 1958 6 more more JJR A34005 1958 7 then then RB A34005 1958 8 the the DT A34005 1958 9 Declination Declination NNP A34005 1958 10 , , , A34005 1958 11 the the DT A34005 1958 12 Azimuth Azimuth NNP A34005 1958 13 will will MD A34005 1958 14 be be VB A34005 1958 15 found find VBN A34005 1958 16 from from IN A34005 1958 17 the the DT A34005 1958 18 Vertical Vertical NNP A34005 1958 19 towards towards IN A34005 1958 20 the the DT A34005 1958 21 Noon Noon NNP A34005 1958 22 Meridian Meridian NNP A34005 1958 23 , , , A34005 1958 24 otherwise otherwise RB A34005 1958 25 towards towards IN A34005 1958 26 the the DT A34005 1958 27 Midnight Midnight NNP A34005 1958 28 Meridian Meridian NNP A34005 1958 29 , , , A34005 1958 30 and and CC A34005 1958 31 in in IN A34005 1958 32 winter winter NN A34005 1958 33 , , , A34005 1958 34 always always RB A34005 1958 35 towards towards IN A34005 1958 36 the the DT A34005 1958 37 Noon Noon NNP A34005 1958 38 Meridian Meridian NNP A34005 1958 39 . . . A34005 1959 1 For for IN A34005 1959 2 such such JJ A34005 1959 3 Stars star NNS A34005 1959 4 as as IN A34005 1959 5 come come VB A34005 1959 6 to to IN A34005 1959 7 the the DT A34005 1959 8 Meridian Meridian NNP A34005 1959 9 between between IN A34005 1959 10 the the DT A34005 1959 11 Zenith Zenith NNP A34005 1959 12 and and CC A34005 1959 13 the the DT A34005 1959 14 elevated elevated JJ A34005 1959 15 Pole Pole NNP A34005 1959 16 , , , A34005 1959 17 the the DT A34005 1959 18 fourth fourth JJ A34005 1959 19 Ark Ark NNP A34005 1959 20 will will MD A34005 1959 21 never never RB A34005 1959 22 exceed exceed VB A34005 1959 23 the the DT A34005 1959 24 Stars Stars NNPS A34005 1959 25 declination declination NN A34005 1959 26 , , , A34005 1959 27 and and CC A34005 1959 28 their -PRON- PRP$ A34005 1959 29 Azimuth azimuth NN A34005 1959 30 will will MD A34005 1959 31 be be VB A34005 1959 32 alwaies alwaie NNS A34005 1959 33 found find VBN A34005 1959 34 from from IN A34005 1959 35 the the DT A34005 1959 36 Vertical Vertical NNP A34005 1959 37 towards towards IN A34005 1959 38 the the DT A34005 1959 39 Meridian Meridian NNP A34005 1959 40 they -PRON- PRP A34005 1959 41 come come VBP A34005 1959 42 to to IN A34005 1959 43 , , , A34005 1959 44 above above IN A34005 1959 45 the the DT A34005 1959 46 Horizon Horizon NNP A34005 1959 47 . . . A34005 1960 1 Example example NN A34005 1960 2 for for IN A34005 1960 3 the the DT A34005 1960 4 Latitude Latitude NNP A34005 1960 5 of of IN A34005 1960 6 Nottingham Nottingham NNP A34005 1960 7 . . . A34005 1961 1 Complement complement NN A34005 1961 2 of of IN A34005 1961 3 the the DT A34005 1961 4 Latitude Latitude NNP A34005 1961 5 is be VBZ A34005 1961 6 — — : A34005 1961 7 37d 37d NNS A34005 1961 8 Altitude Altitude NNP A34005 1961 9 is be VBZ A34005 1961 10 40 40 CD A34005 1961 11 ● ● CD A34005 1961 12 — — : A34005 1961 13 40 40 CD A34005 1961 14 Sum Sum NNP A34005 1961 15 — — : A34005 1961 16 77 77 CD A34005 1961 17 Let let VBP A34005 1961 18 the the DT A34005 1961 19 Declination declination NN A34005 1961 20 be be VB A34005 1961 21 20d 20d NNS A34005 1961 22 North North NNP A34005 1961 23 . . . A34005 1962 1 To to TO A34005 1962 2 find find VB A34005 1962 3 the the DT A34005 1962 4 point point NN A34005 1962 5 of of IN A34005 1962 6 Entrance entrance NN A34005 1962 7 , , , A34005 1962 8 take take VB A34005 1962 9 the the DT A34005 1962 10 nearest near JJS A34005 1962 11 distance distance NN A34005 1962 12 to to IN A34005 1962 13 the the DT A34005 1962 14 thred thre VBN A34005 1962 15 laid lay VBN A34005 1962 16 over over RP A34005 1962 17 50 50 CD A34005 1962 18 in in IN A34005 1962 19 the the DT A34005 1962 20 Limb Limb NNP A34005 1962 21 , , , A34005 1962 22 counted count VBD A34005 1962 23 from from IN A34005 1962 24 right right JJ A34005 1962 25 edge edge NN A34005 1962 26 from from IN A34005 1962 27 the the DT A34005 1962 28 Sine Sine NNP A34005 1962 29 of of IN A34005 1962 30 37d 37d NNPS A34005 1962 31 , , , A34005 1962 32 the the DT A34005 1962 33 said say VBD A34005 1962 34 Extent extent NN A34005 1962 35 measured measure VBN A34005 1962 36 from from IN A34005 1962 37 the the DT A34005 1962 38 Center Center NNP A34005 1962 39 , , , A34005 1962 40 falls fall VBZ A34005 1962 41 upon upon IN A34005 1962 42 the the DT A34005 1962 43 Sine Sine NNP A34005 1962 44 of of IN A34005 1962 45 27d 27d CD A34005 1962 46 26′ 26′ CD A34005 1962 47 , , , A34005 1962 48 and and CC A34005 1962 49 there there EX A34005 1962 50 will will MD A34005 1962 51 be be VB A34005 1962 52 the the DT A34005 1962 53 point point NN A34005 1962 54 of of IN A34005 1962 55 Entrance entrance NN A34005 1962 56 ; ; : A34005 1962 57 the the DT A34005 1962 58 said say VBD A34005 1962 59 Extent extent NN A34005 1962 60 prickt prickt NNS A34005 1962 61 from from IN A34005 1962 62 77 77 CD A34005 1962 63 ● ● NFP A34005 1962 64 in in IN A34005 1962 65 the the DT A34005 1962 66 Sines Sines NNPS A34005 1962 67 , , , A34005 1962 68 will will MD A34005 1962 69 reach reach VB A34005 1962 70 to to IN A34005 1962 71 the the DT A34005 1962 72 Sine Sine NNP A34005 1962 73 of of IN A34005 1962 74 30 30 CD A34005 1962 75 51′ 51′ CD A34005 1962 76 , , , A34005 1962 77 where where WRB A34005 1962 78 the the DT A34005 1962 79 Sine Sine NNP A34005 1962 80 point point NN A34005 1962 81 falls fall VBZ A34005 1962 82 . . . A34005 1963 1 Lastly lastly RB A34005 1963 2 , , , A34005 1963 3 The the DT A34005 1963 4 distance distance NN A34005 1963 5 between between IN A34005 1963 6 the the DT A34005 1963 7 Sine Sine NNP A34005 1963 8 point point NN A34005 1963 9 , , , A34005 1963 10 and and CC A34005 1963 11 the the DT A34005 1963 12 Sine Sine NNP A34005 1963 13 of of IN A34005 1963 14 20d 20d NNS A34005 1963 15 being be VBG A34005 1963 16 entred entre VBN A34005 1963 17 at at IN A34005 1963 18 the the DT A34005 1963 19 point point NN A34005 1963 20 of of IN A34005 1963 21 Entrance entrance NN A34005 1963 22 , , , A34005 1963 23 and and CC A34005 1963 24 the the DT A34005 1963 25 thred thre VBN A34005 1963 26 laid lay VBD A34005 1963 27 to to IN A34005 1963 28 the the DT A34005 1963 29 other other JJ A34005 1963 30 foot foot NN A34005 1963 31 , , , A34005 1963 32 the the DT A34005 1963 33 Azimuth Azimuth NNP A34005 1963 34 will will MD A34005 1963 35 be be VB A34005 1963 36 found find VBN A34005 1963 37 in in IN A34005 1963 38 the the DT A34005 1963 39 equal equal JJ A34005 1963 40 Limb Limb NNP A34005 1963 41 to to TO A34005 1963 42 be be VB A34005 1963 43 21d 21d CD A34005 1963 44 48′ 48′ CD A34005 1963 45 from from IN A34005 1963 46 the the DT A34005 1963 47 East East NNP A34005 1963 48 or or CC A34005 1963 49 West West NNP A34005 1963 50 Southwards Southwards NNP A34005 1963 51 , , , A34005 1963 52 because because IN A34005 1963 53 the the DT A34005 1963 54 Sine Sine NNP A34005 1963 55 point point NN A34005 1963 56 fell fall VBD A34005 1963 57 beyond beyond IN A34005 1963 58 the the DT A34005 1963 59 Declination Declination NNP A34005 1963 60 . . . A34005 1964 1 Another another DT A34005 1964 2 Example example NN A34005 1964 3 for for IN A34005 1964 4 that that DT A34005 1964 5 Latitude Latitude NNP A34005 1964 6 , , , A34005 1964 7 the the DT A34005 1964 8 Declination Declination NNP A34005 1964 9 being be VBG A34005 1964 10 20d 20d NNS A34005 1964 11 South South NNP A34005 1964 12 Altitude Altitude NNP A34005 1964 13 . . . A34005 1965 1 12d 12d NNS A34005 1965 2 30′ 30′ CD A34005 1965 3 The the DT A34005 1965 4 point point NN A34005 1965 5 of of IN A34005 1965 6 Entrance entrance NN A34005 1965 7 will will MD A34005 1965 8 fall fall VB A34005 1965 9 at at IN A34005 1965 10 the the DT A34005 1965 11 Sine Sine NNP A34005 1965 12 of of IN A34005 1965 13 36 36 CD A34005 1965 14 ● ● . A34005 1965 15 The the DT A34005 1965 16 Sine Sine NNP A34005 1965 17 point point NN A34005 1965 18 may may MD A34005 1965 19 be be VB A34005 1965 20 found find VBN A34005 1965 21 without without IN A34005 1965 22 summing sum VBG A34005 1965 23 or or CC A34005 1965 24 differencing differencing NN A34005 1965 25 of of IN A34005 1965 26 Arks Arks NNP A34005 1965 27 , , , A34005 1965 28 by by IN A34005 1965 29 taking take VBG A34005 1965 30 the the DT A34005 1965 31 nearest near JJS A34005 1965 32 distance distance NN A34005 1965 33 from from IN A34005 1965 34 the the DT A34005 1965 35 Sine Sine NNP A34005 1965 36 of of IN A34005 1965 37 the the DT A34005 1965 38 Latitude Latitude NNP A34005 1965 39 , , , A34005 1965 40 to to IN A34005 1965 41 the the DT A34005 1965 42 thred thre VBN A34005 1965 43 laid lay VBN A34005 1965 44 over over IN A34005 1965 45 the the DT A34005 1965 46 Altitude Altitude NNP A34005 1965 47 , , , A34005 1965 48 counted count VBN A34005 1965 49 in in IN A34005 1965 50 the the DT A34005 1965 51 Limb Limb NNP A34005 1965 52 from from IN A34005 1965 53 the the DT A34005 1965 54 right right JJ A34005 1965 55 edge edge NN A34005 1965 56 ; ; : A34005 1965 57 which which WDT A34005 1965 58 Extent extent NN A34005 1965 59 being be VBG A34005 1965 60 added add VBN A34005 1965 61 to to IN A34005 1965 62 the the DT A34005 1965 63 Sine Sine NNP A34005 1965 64 of of IN A34005 1965 65 20d 20d NNS A34005 1965 66 the the DT A34005 1965 67 Declination Declination NNP A34005 1965 68 , , , A34005 1965 69 the the DT A34005 1965 70 whole whole JJ A34005 1965 71 Extent extent NN A34005 1965 72 will will MD A34005 1965 73 be be VB A34005 1965 74 equal equal JJ A34005 1965 75 to to IN A34005 1965 76 the the DT A34005 1965 77 Sine Sine NNP A34005 1965 78 of of IN A34005 1965 79 31d 31d NNS A34005 1965 80 , , , A34005 1965 81 this this DT A34005 1965 82 being be VBG A34005 1965 83 entred entre VBN A34005 1965 84 on on IN A34005 1965 85 the the DT A34005 1965 86 point point NN A34005 1965 87 of of IN A34005 1965 88 Entrance entrance NN A34005 1965 89 , , , A34005 1965 90 and and CC A34005 1965 91 the the DT A34005 1965 92 thred thre VBN A34005 1965 93 laid lay VBD A34005 1965 94 to to IN A34005 1965 95 the the DT A34005 1965 96 other other JJ A34005 1965 97 foot foot NN A34005 1965 98 , , , A34005 1965 99 the the DT A34005 1965 100 Azimuth Azimuth NNP A34005 1965 101 will will MD A34005 1965 102 be be VB A34005 1965 103 found find VBN A34005 1965 104 to to TO A34005 1965 105 be be VB A34005 1965 106 61d 61d CD A34005 1965 107 14′ 14′ CD A34005 1965 108 from from IN A34005 1965 109 the the DT A34005 1965 110 East East NNP A34005 1965 111 or or CC A34005 1965 112 West West NNP A34005 1965 113 Southwards Southwards NNP A34005 1965 114 . . . A34005 1966 1 A a DT A34005 1966 2 third third JJ A34005 1966 3 Example Example NNP A34005 1966 4 for for IN A34005 1966 5 the the DT A34005 1966 6 Latitude Latitude NNP A34005 1966 7 of of IN A34005 1966 8 London London NNP A34005 1966 9 , , , A34005 1966 10 51d 51d NNS A34005 1966 11 32′ 32′ CD A34005 1966 12 . . . A34005 1967 1 Let let VB A34005 1967 2 it -PRON- PRP A34005 1967 3 be be VB A34005 1967 4 required require VBN A34005 1967 5 to to TO A34005 1967 6 find find VB A34005 1967 7 the the DT A34005 1967 8 Azimuth Azimuth NNP A34005 1967 9 of of IN A34005 1967 10 the the DT A34005 1967 11 middlemost middlemost NN A34005 1967 12 Star Star NNP A34005 1967 13 in in IN A34005 1967 14 the the DT A34005 1967 15 great great JJ A34005 1967 16 Bears bear NNS A34005 1967 17 tail tail VBP A34005 1967 18 , , , A34005 1967 19 Declination Declination NNP A34005 1967 20 is be VBZ A34005 1967 21 56d 56d CD A34005 1967 22 45′ 45′ CD A34005 1967 23 , , , A34005 1967 24 let let VB A34005 1967 25 the the DT A34005 1967 26 Altitude altitude NN A34005 1967 27 be be VB A34005 1967 28 44d 44d CD A34005 1967 29 58′ 58′ CD A34005 1967 30 . . . A34005 1968 1 The the DT A34005 1968 2 nearest near JJS A34005 1968 3 distance distance NN A34005 1968 4 from from IN A34005 1968 5 the the DT A34005 1968 6 Sine Sine NNP A34005 1968 7 of of IN A34005 1968 8 38d 38d CD A34005 1968 9 28′ 28′ CD A34005 1968 10 to to IN A34005 1968 11 the the DT A34005 1968 12 thred thre VBN A34005 1968 13 laid lay VBN A34005 1968 14 over over IN A34005 1968 15 the the DT A34005 1968 16 Altitude altitude NN A34005 1968 17 counted count VBN A34005 1968 18 from from IN A34005 1968 19 the the DT A34005 1968 20 right right JJ A34005 1968 21 edge edge NN A34005 1968 22 , , , A34005 1968 23 will will MD A34005 1968 24 find find VB A34005 1968 25 the the DT A34005 1968 26 point point NN A34005 1968 27 of of IN A34005 1968 28 Entrance entrance NN A34005 1968 29 to to TO A34005 1968 30 be be VB A34005 1968 31 at at IN A34005 1968 32 the the DT A34005 1968 33 Sine Sine NNP A34005 1968 34 of of IN A34005 1968 35 — — : A34005 1968 36 26d 26d NNS A34005 1968 37 6′ 6′ CD A34005 1968 38 . . . A34005 1969 1 The the DT A34005 1969 2 nearest near JJS A34005 1969 3 distance distance NN A34005 1969 4 from from IN A34005 1969 5 the the DT A34005 1969 6 Sine Sine NNP A34005 1969 7 of of IN A34005 1969 8 51d 51d NNS A34005 1969 9 32′ 32′ CD A34005 1969 10 to to IN A34005 1969 11 the the DT A34005 1969 12 thred thre VBN A34005 1969 13 laid lay VBN A34005 1969 14 over over IN A34005 1969 15 the the DT A34005 1969 16 Altitude Altitude NNP A34005 1969 17 , , , A34005 1969 18 counted count VBN A34005 1969 19 from from IN A34005 1969 20 the the DT A34005 1969 21 right right JJ A34005 1969 22 edge edge NN A34005 1969 23 , , , A34005 1969 24 need nee MD A34005 1969 25 not not RB A34005 1969 26 be be VB A34005 1969 27 known know VBN A34005 1969 28 , , , A34005 1969 29 but but CC A34005 1969 30 the the DT A34005 1969 31 distance distance NN A34005 1969 32 between between IN A34005 1969 33 that that DT A34005 1969 34 Extent extent NN A34005 1969 35 , , , A34005 1969 36 and and CC A34005 1969 37 the the DT A34005 1969 38 Sine Sine NNP A34005 1969 39 of of IN A34005 1969 40 56d 56d CD A34005 1969 41 45′ 45′ CD A34005 1969 42 , , , A34005 1969 43 the the DT A34005 1969 44 Stars Stars NNP A34005 1969 45 Declination Declination NNP A34005 1969 46 being be VBG A34005 1969 47 entred entre VBN A34005 1969 48 on on IN A34005 1969 49 the the DT A34005 1969 50 point point NN A34005 1969 51 of of IN A34005 1969 52 Entrance entrance NN A34005 1969 53 , , , A34005 1969 54 will will MD A34005 1969 55 find find VB A34005 1969 56 the the DT A34005 1969 57 Azimuth Azimuth NNP A34005 1969 58 of of IN A34005 1969 59 that that DT A34005 1969 60 Star Star NNP A34005 1969 61 , , , A34005 1969 62 by by IN A34005 1969 63 laying lay VBG A34005 1969 64 the the DT A34005 1969 65 thred thre VBN A34005 1969 66 to to IN A34005 1969 67 the the DT A34005 1969 68 other other JJ A34005 1969 69 foot foot NN A34005 1969 70 , , , A34005 1969 71 to to TO A34005 1969 72 be be VB A34005 1969 73 40d 40d NNS A34005 1969 74 from from IN A34005 1969 75 the the DT A34005 1969 76 East East NNP A34005 1969 77 or or CC A34005 1969 78 West West NNP A34005 1969 79 Northwards Northwards NNPS A34005 1969 80 . . . A34005 1970 1 Thus thus RB A34005 1970 2 we -PRON- PRP A34005 1970 3 find find VBP A34005 1970 4 it -PRON- PRP A34005 1970 5 the the DT A34005 1970 6 general general JJ A34005 1970 7 way way NN A34005 1970 8 , , , A34005 1970 9 and and CC A34005 1970 10 so so RB A34005 1970 11 it -PRON- PRP A34005 1970 12 will will MD A34005 1970 13 also also RB A34005 1970 14 be be VB A34005 1970 15 found find VBN A34005 1970 16 by by IN A34005 1970 17 the the DT A34005 1970 18 fitted fitted JJ A34005 1970 19 particular particular JJ A34005 1970 20 Scale Scale NNP A34005 1970 21 ; ; : A34005 1970 22 for for IN A34005 1970 23 the the DT A34005 1970 24 Hour Hour NNP A34005 1970 25 , , , A34005 1970 26 the the DT A34005 1970 27 point point NN A34005 1970 28 of of IN A34005 1970 29 Entrance entrance NN A34005 1970 30 , , , A34005 1970 31 and and CC A34005 1970 32 Sine Sine NNP A34005 1970 33 point point NN A34005 1970 34 , , , A34005 1970 35 vary vary VBP A34005 1970 36 not not RB A34005 1970 37 till till IN A34005 1970 38 the the DT A34005 1970 39 Declination Declination NNP A34005 1970 40 change change NN A34005 1970 41 ; ; : A34005 1970 42 but but CC A34005 1970 43 for for IN A34005 1970 44 the the DT A34005 1970 45 Azimuth Azimuth NNP A34005 1970 46 , , , A34005 1970 47 they -PRON- PRP A34005 1970 48 vary vary VBP A34005 1970 49 to to IN A34005 1970 50 every every DT A34005 1970 51 Altitude altitude NN A34005 1970 52 . . . A34005 1971 1 To to TO A34005 1971 2 find find VB A34005 1971 3 the the DT A34005 1971 4 Azimuth Azimuth NNP A34005 1971 5 in in IN A34005 1971 6 the the DT A34005 1971 7 Versed Versed NNP A34005 1971 8 Sines Sines NNPS A34005 1971 9 . . . A34005 1972 1 As as IN A34005 1972 2 the the DT A34005 1972 3 fourth fourth JJ A34005 1972 4 , , , A34005 1972 5 found find VBN A34005 1972 6 by by IN A34005 1972 7 the the DT A34005 1972 8 former former JJ A34005 1972 9 Proportion proportion NN A34005 1972 10 ; ; : A34005 1972 11 namely namely RB A34005 1972 12 , , , A34005 1972 13 where where WRB A34005 1972 14 the the DT A34005 1972 15 point point NN A34005 1972 16 of of IN A34005 1972 17 Entrance entrance NN A34005 1972 18 hapned hapne VBN A34005 1972 19 , , , A34005 1972 20 Is be VBZ A34005 1972 21 to to IN A34005 1972 22 the the DT A34005 1972 23 Radius Radius NNP A34005 1972 24 , , , A34005 1972 25 So so RB A34005 1972 26 is be VBZ A34005 1972 27 the the DT A34005 1972 28 difference difference NN A34005 1972 29 of of IN A34005 1972 30 the the DT A34005 1972 31 Versed Versed NNP A34005 1972 32 Sines Sines NNPS A34005 1972 33 of of IN A34005 1972 34 the the DT A34005 1972 35 Polar Polar NNP A34005 1972 36 distance distance NN A34005 1972 37 , , , A34005 1972 38 and and CC A34005 1972 39 of of IN A34005 1972 40 the the DT A34005 1972 41 Ark Ark NNP A34005 1972 42 of of IN A34005 1972 43 Difference Difference NNP A34005 1972 44 between between IN A34005 1972 45 the the DT A34005 1972 46 Altitude altitude NN A34005 1972 47 and and CC A34005 1972 48 the the DT A34005 1972 49 Latitude Latitude NNP A34005 1972 50 , , , A34005 1972 51 To to IN A34005 1972 52 the the DT A34005 1972 53 Versed Versed NNP A34005 1972 54 Sine Sine NNP A34005 1972 55 of of IN A34005 1972 56 the the DT A34005 1972 57 Azimuth Azimuth NNP A34005 1972 58 from from IN A34005 1972 59 Midnight Midnight NNP A34005 1972 60 Meridian Meridian NNP A34005 1972 61 . . . A34005 1973 1 This this DT A34005 1973 2 finds find VBZ A34005 1973 3 the the DT A34005 1973 4 Angle angle NN A34005 1973 5 it -PRON- PRP A34005 1973 6 self self NN A34005 1973 7 in in IN A34005 1973 8 the the DT A34005 1973 9 Sphere Sphere NNP A34005 1973 10 . . . A34005 1974 1 And and CC A34005 1974 2 so so RB A34005 1974 3 is be VBZ A34005 1974 4 the the DT A34005 1974 5 difference difference NN A34005 1974 6 of of IN A34005 1974 7 the the DT A34005 1974 8 Versed Versed NNP A34005 1974 9 Sines Sines NNPS A34005 1974 10 of of IN A34005 1974 11 the the DT A34005 1974 12 Polar Polar NNP A34005 1974 13 distance distance NN A34005 1974 14 , , , A34005 1974 15 and and CC A34005 1974 16 of of IN A34005 1974 17 the the DT A34005 1974 18 Ark Ark NNP A34005 1974 19 of of IN A34005 1974 20 residue residue NN A34005 1974 21 of of IN A34005 1974 22 the the DT A34005 1974 23 sum sum NN A34005 1974 24 of of IN A34005 1974 25 the the DT A34005 1974 26 Latitude Latitude NNP A34005 1974 27 and and CC A34005 1974 28 Altitude Altitude NNP A34005 1974 29 taken take VBN A34005 1974 30 from from IN A34005 1974 31 a a DT A34005 1974 32 Semicircle Semicircle NNP A34005 1974 33 . . . A34005 1975 1 To to IN A34005 1975 2 the the DT A34005 1975 3 Versed Versed NNP A34005 1975 4 Sine Sine NNP A34005 1975 5 of of IN A34005 1975 6 the the DT A34005 1975 7 Azimuth Azimuth NNP A34005 1975 8 from from IN A34005 1975 9 Noon Noon NNP A34005 1975 10 Meridian Meridian NNP A34005 1975 11 . . . A34005 1976 1 This this DT A34005 1976 2 finds find VBZ A34005 1976 3 the the DT A34005 1976 4 Complement Complement NNP A34005 1976 5 of of IN A34005 1976 6 the the DT A34005 1976 7 Angle angle NN A34005 1976 8 in in IN A34005 1976 9 the the DT A34005 1976 10 Sphere Sphere NNP A34005 1976 11 to to IN A34005 1976 12 a a DT A34005 1976 13 Semicircle Semicircle NNP A34005 1976 14 . . . A34005 1977 1 The the DT A34005 1977 2 Proportion proportion NN A34005 1977 3 to to TO A34005 1977 4 find find VB A34005 1977 5 it -PRON- PRP A34005 1977 6 from from IN A34005 1977 7 Midnight Midnight NNP A34005 1977 8 Meridian Meridian NNP A34005 1977 9 , , , A34005 1977 10 the the DT A34005 1977 11 third third JJ A34005 1977 12 term term NN A34005 1977 13 being be VBG A34005 1977 14 express'd express'd VBN A34005 1977 15 in in IN A34005 1977 16 Sines Sines NNP A34005 1977 17 , , , A34005 1977 18 will will MD A34005 1977 19 be be VB A34005 1977 20 thus thus RB A34005 1977 21 . . . A34005 1978 1 Get get VB A34005 1978 2 the the DT A34005 1978 3 sum sum NN A34005 1978 4 of of IN A34005 1978 5 the the DT A34005 1978 6 Altitude Altitude NNP A34005 1978 7 and and CC A34005 1978 8 Colatitude Colatitude NNP A34005 1978 9 , , , A34005 1978 10 and and CC A34005 1978 11 when when WRB A34005 1978 12 it -PRON- PRP A34005 1978 13 exceeds exceed VBZ A34005 1978 14 a a DT A34005 1978 15 Quadrant Quadrant NNP A34005 1978 16 , , , A34005 1978 17 take take VB A34005 1978 18 its -PRON- PRP$ A34005 1978 19 Complement Complement NNP A34005 1978 20 to to IN A34005 1978 21 a a DT A34005 1978 22 Semicircle Semicircle NNP A34005 1978 23 , , , A34005 1978 24 the the DT A34005 1978 25 Ark Ark NNP A34005 1978 26 thus thus RB A34005 1978 27 found find VBD A34005 1978 28 , , , A34005 1978 29 is be VBZ A34005 1978 30 called call VBN A34005 1978 31 the the DT A34005 1978 32 Compound Compound NNP A34005 1978 33 Ark. Arkansas NNP A34005 1979 1 Then then RB A34005 1979 2 it -PRON- PRP A34005 1979 3 holds hold VBZ A34005 1979 4 , , , A34005 1979 5 As as IN A34005 1979 6 the the DT A34005 1979 7 fourth fourth JJ A34005 1979 8 found find VBN A34005 1979 9 before before RB A34005 1979 10 . . . A34005 1980 1 Is be VBZ A34005 1980 2 to to IN A34005 1980 3 the the DT A34005 1980 4 Radius Radius NNP A34005 1980 5 , , , A34005 1980 6 So so CC A34005 1980 7 in in IN A34005 1980 8 Summer Summer NNP A34005 1980 9 Declinations Declinations NNPS A34005 1980 10 , , , A34005 1980 11 is be VBZ A34005 1980 12 the the DT A34005 1980 13 difference difference NN A34005 1980 14 , , , A34005 1980 15 but but CC A34005 1980 16 in in IN A34005 1980 17 Winter Winter NNP A34005 1980 18 Declinations Declinations NNPS A34005 1980 19 , , , A34005 1980 20 the the DT A34005 1980 21 sum sum NN A34005 1980 22 of of IN A34005 1980 23 the the DT A34005 1980 24 Sines Sines NNPS A34005 1980 25 of of IN A34005 1980 26 the the DT A34005 1980 27 Suns Suns NNPS A34005 1980 28 or or CC A34005 1980 29 Stars Stars NNPS A34005 1980 30 declination declination NN A34005 1980 31 , , , A34005 1980 32 and and CC A34005 1980 33 of of IN A34005 1980 34 the the DT A34005 1980 35 compound compound NN A34005 1980 36 Ark Ark NNP A34005 1980 37 , , , A34005 1980 38 To to IN A34005 1980 39 the the DT A34005 1980 40 Versed Versed NNP A34005 1980 41 Sine Sine NNP A34005 1980 42 of of IN A34005 1980 43 the the DT A34005 1980 44 Azimuth Azimuth NNP A34005 1980 45 from from IN A34005 1980 46 the the DT A34005 1980 47 Midnight Midnight NNP A34005 1980 48 Meridian Meridian NNP A34005 1980 49 of of IN A34005 1980 50 the the DT A34005 1980 51 place place NN A34005 1980 52 . . . A34005 1981 1 Use use VB A34005 1981 2 this this DT A34005 1981 3 Proportion proportion NN A34005 1981 4 alwaies alwaie NNS A34005 1981 5 for for IN A34005 1981 6 the the DT A34005 1981 7 Sun Sun NNP A34005 1981 8 or or CC A34005 1981 9 Stars Stars NNPS A34005 1981 10 , , , A34005 1981 11 when when WRB A34005 1981 12 they -PRON- PRP A34005 1981 13 come come VBP A34005 1981 14 to to IN A34005 1981 15 the the DT A34005 1981 16 Meridian Meridian NNP A34005 1981 17 between between IN A34005 1981 18 the the DT A34005 1981 19 Zenith Zenith NNP A34005 1981 20 and and CC A34005 1981 21 elevated elevate VBD A34005 1981 22 Pole Pole NNP A34005 1981 23 . . . A34005 1982 1 And and CC A34005 1982 2 to to TO A34005 1982 3 find find VB A34005 1982 4 it -PRON- PRP A34005 1982 5 from from IN A34005 1982 6 the the DT A34005 1982 7 Noon Noon NNP A34005 1982 8 Meridian Meridian NNP A34005 1982 9 , , , A34005 1982 10 Get get VB A34005 1982 11 the the DT A34005 1982 12 difference difference NN A34005 1982 13 between between IN A34005 1982 14 the the DT A34005 1982 15 Altitude Altitude NNP A34005 1982 16 and and CC A34005 1982 17 Colatitude Colatitude NNP A34005 1982 18 , , , A34005 1982 19 and and CC A34005 1982 20 then then RB A34005 1982 21 it -PRON- PRP A34005 1982 22 holds hold VBZ A34005 1982 23 , , , A34005 1982 24 As as IN A34005 1982 25 the the DT A34005 1982 26 fourth fourth JJ A34005 1982 27 Sine Sine NNP A34005 1982 28 found find VBN A34005 1982 29 before before RB A34005 1982 30 , , , A34005 1982 31 Is be VBZ A34005 1982 32 to to IN A34005 1982 33 the the DT A34005 1982 34 Radius Radius NNP A34005 1982 35 , , , A34005 1982 36 So so RB A34005 1982 37 is be VBZ A34005 1982 38 the the DT A34005 1982 39 sum sum NN A34005 1982 40 of of IN A34005 1982 41 the the DT A34005 1982 42 Sines Sines NNPS A34005 1982 43 of of IN A34005 1982 44 the the DT A34005 1982 45 said say VBN A34005 1982 46 Ark Ark NNP A34005 1982 47 of of IN A34005 1982 48 Difference Difference NNP A34005 1982 49 , , , A34005 1982 50 and and CC A34005 1982 51 of of IN A34005 1982 52 the the DT A34005 1982 53 Suns Suns NNPS A34005 1982 54 Declination Declination NNP A34005 1982 55 , , , A34005 1982 56 To to IN A34005 1982 57 the the DT A34005 1982 58 Versed Versed NNP A34005 1982 59 Sine Sine NNP A34005 1982 60 of of IN A34005 1982 61 the the DT A34005 1982 62 Azimuth Azimuth NNP A34005 1982 63 from from IN A34005 1982 64 the the DT A34005 1982 65 Noon Noon NNP A34005 1982 66 Meridian Meridian NNP A34005 1982 67 , , , A34005 1982 68 in in IN A34005 1982 69 Summer Summer NNP A34005 1982 70 only only RB A34005 1982 71 , , , A34005 1982 72 when when WRB A34005 1982 73 the the DT A34005 1982 74 Suns Suns NNPS A34005 1982 75 Altitude Altitude NNP A34005 1982 76 is be VBZ A34005 1982 77 less less JJR A34005 1982 78 then then RB A34005 1982 79 the the DT A34005 1982 80 Colatitude Colatitude NNP A34005 1982 81 . . . A34005 1983 1 In in IN A34005 1983 2 all all DT A34005 1983 3 other other JJ A34005 1983 4 cases case NNS A34005 1983 5 , , , A34005 1983 6 So so RB A34005 1983 7 is be VBZ A34005 1983 8 the the DT A34005 1983 9 difference difference NN A34005 1983 10 of of IN A34005 1983 11 the the DT A34005 1983 12 said say VBD A34005 1983 13 Sines Sines NNP A34005 1983 14 , , , A34005 1983 15 To to IN A34005 1983 16 the the DT A34005 1983 17 Versed Versed NNP A34005 1983 18 Sine Sine NNP A34005 1983 19 of of IN A34005 1983 20 the the DT A34005 1983 21 Azimuth Azimuth NNP A34005 1983 22 , , , A34005 1983 23 as as IN A34005 1983 24 before before RB A34005 1983 25 , , , A34005 1983 26 from from IN A34005 1983 27 Noon Noon NNP A34005 1983 28 Meridian Meridian NNP A34005 1983 29 . . . A34005 1984 1 If if IN A34005 1984 2 by by IN A34005 1984 3 the the DT A34005 1984 4 former former JJ A34005 1984 5 Proportion proportion NN A34005 1984 6 it -PRON- PRP A34005 1984 7 be be VB A34005 1984 8 required require VBN A34005 1984 9 to to TO A34005 1984 10 find find VB A34005 1984 11 the the DT A34005 1984 12 Azimuth Azimuth NNP A34005 1984 13 in in IN A34005 1984 14 the the DT A34005 1984 15 Versed Versed NNP A34005 1984 16 Sine Sine NNP A34005 1984 17 of of IN A34005 1984 18 90d 90d CD A34005 1984 19 , , , A34005 1984 20 a a DT A34005 1984 21 difference difference NN A34005 1984 22 of of IN A34005 1984 23 Versed Versed NNP A34005 1984 24 Sines Sines NNPS A34005 1984 25 taken take VBN A34005 1984 26 out out IN A34005 1984 27 of of IN A34005 1984 28 the the DT A34005 1984 29 Line Line NNP A34005 1984 30 of of IN A34005 1984 31 Versed Versed NNP A34005 1984 32 Sines Sines NNP A34005 1984 33 on on IN A34005 1984 34 the the DT A34005 1984 35 left left JJ A34005 1984 36 edge edge NN A34005 1984 37 must must MD A34005 1984 38 be be VB A34005 1984 39 doubled double VBN A34005 1984 40 , , , A34005 1984 41 and and CC A34005 1984 42 being be VBG A34005 1984 43 taken take VBN A34005 1984 44 out out IN A34005 1984 45 of of IN A34005 1984 46 the the DT A34005 1984 47 Line Line NNP A34005 1984 48 of of IN A34005 1984 49 Sines Sines NNPS A34005 1984 50 , , , A34005 1984 51 as as IN A34005 1984 52 sometimes sometimes RB A34005 1984 53 representing represent VBG A34005 1984 54 the the DT A34005 1984 55 former former JJ A34005 1984 56 , , , A34005 1984 57 sometimes sometimes RB A34005 1984 58 the the DT A34005 1984 59 latter latter JJ A34005 1984 60 half half NN A34005 1984 61 of of IN A34005 1984 62 a a DT A34005 1984 63 Versed Versed NNP A34005 1984 64 Sine Sine NNP A34005 1984 65 , , , A34005 1984 66 needs need VBZ A34005 1984 67 not not RB A34005 1984 68 be be VB A34005 1984 69 doubled double VBN A34005 1984 70 . . . A34005 1985 1 Example example NN A34005 1985 2 : : : A34005 1985 3 Latitude Latitude NNP A34005 1985 4 of of IN A34005 1985 5 Nottingham Nottingham NNP A34005 1985 6 — — : A34005 1985 7 53d 53d NNS A34005 1985 8 Altitude altitude NN A34005 1985 9 of of IN A34005 1985 10 the the DT A34005 1985 11 Sun Sun NNP A34005 1985 12 — — : A34005 1985 13 4 4 CD A34005 1985 14 Ark Ark NNP A34005 1985 15 of of IN A34005 1985 16 difference difference NN A34005 1985 17 — — : A34005 1985 18 49 49 CD A34005 1985 19 ☉ ☉ NNS A34005 1985 20 Declination Declination NNP A34005 1985 21 20 20 CD A34005 1985 22 North North NNP A34005 1985 23 , , , A34005 1985 24 the the DT A34005 1985 25 Polar Polar NNP A34005 1985 26 distance distance NN A34005 1985 27 is be VBZ A34005 1985 28 — — : A34005 1985 29 70 70 CD A34005 1985 30 The the DT A34005 1985 31 Point Point NNP A34005 1985 32 of of IN A34005 1985 33 entrance entrance NN A34005 1985 34 will will MD A34005 1985 35 fall fall VB A34005 1985 36 at at IN A34005 1985 37 the the DT A34005 1985 38 Sine Sine NNP A34005 1985 39 of of IN A34005 1985 40 36d 36d NNS A34005 1985 41 54′ 54′ NNP A34005 1985 42 And and CC A34005 1985 43 the the DT A34005 1985 44 difference difference NN A34005 1985 45 of of IN A34005 1985 46 the the DT A34005 1985 47 Versed Versed NNP A34005 1985 48 Sines Sines NNPS A34005 1985 49 of of IN A34005 1985 50 49 49 CD A34005 1985 51 ● ● CD A34005 1985 52 and and CC A34005 1985 53 70 70 CD A34005 1985 54 ● ● CD A34005 1985 55 , , , A34005 1985 56 equal equal JJ A34005 1985 57 to to IN A34005 1985 58 the the DT A34005 1985 59 distance distance NN A34005 1985 60 between between IN A34005 1985 61 the the DT A34005 1985 62 Sines Sines NNPS A34005 1985 63 of of IN A34005 1985 64 41 41 CD A34005 1985 65 ● ● CD A34005 1985 66 and and CC A34005 1985 67 20 20 CD A34005 1985 68 being be VBG A34005 1985 69 entred entre VBN A34005 1985 70 at at IN A34005 1985 71 the the DT A34005 1985 72 Point Point NNP A34005 1985 73 of of IN A34005 1985 74 entrance entrance NN A34005 1985 75 , , , A34005 1985 76 and and CC A34005 1985 77 the the DT A34005 1985 78 Tbread Tbread NNP A34005 1985 79 laid lay VBD A34005 1985 80 to to IN A34005 1985 81 the the DT A34005 1985 82 other other JJ A34005 1985 83 foot foot NN A34005 1985 84 will will MD A34005 1985 85 lye lye VB A34005 1985 86 over over RP A34005 1985 87 61d 61d NNS A34005 1985 88 30′ 30′ CD A34005 1985 89 of of IN A34005 1985 90 the the DT A34005 1985 91 Versed Versed NNP A34005 1985 92 Sine Sine NNP A34005 1985 93 of of IN A34005 1985 94 90 90 CD A34005 1985 95 ● ● CD A34005 1985 96 , , , A34005 1985 97 and and CC A34005 1985 98 so so RB A34005 1985 99 much much JJ A34005 1985 100 is be VBZ A34005 1985 101 the the DT A34005 1985 102 Suns Suns NNPS A34005 1985 103 Azimuth Azimuth NNP A34005 1985 104 from from IN A34005 1985 105 the the DT A34005 1985 106 North North NNP A34005 1985 107 . . . A34005 1986 1 Another another DT A34005 1986 2 Example Example NNP A34005 1986 3 for for IN A34005 1986 4 finding find VBG A34005 1986 5 it -PRON- PRP A34005 1986 6 from from IN A34005 1986 7 the the DT A34005 1986 8 South South NNP A34005 1986 9 when when WRB A34005 1986 10 the the DT A34005 1986 11 Altitude altitude NN A34005 1986 12 is be VBZ A34005 1986 13 more more JJR A34005 1986 14 then then RB A34005 1986 15 the the DT A34005 1986 16 Colatitude Colatitude NNP A34005 1986 17 . . . A34005 1987 1 Altitude altitude NN A34005 1987 2 — — : A34005 1987 3 47d 47d CD A34005 1987 4 Colatitude Colatitude NNP A34005 1987 5 — — : A34005 1987 6 37 37 CD A34005 1987 7 of of IN A34005 1987 8 Nottingham Nottingham NNP A34005 1987 9 . . . A34005 1988 1 difference difference NN A34005 1988 2 — — : A34005 1988 3 10 10 CD A34005 1988 4 The the DT A34005 1988 5 Point Point NNP A34005 1988 6 of of IN A34005 1988 7 entrance entrance NN A34005 1988 8 will will MD A34005 1988 9 fall fall VB A34005 1988 10 at at IN A34005 1988 11 the the DT A34005 1988 12 sine sine NN A34005 1988 13 of of IN A34005 1988 14 24d 24d CD A34005 1988 15 14′ 14′ CD A34005 1988 16 found find VBN A34005 1988 17 by by IN A34005 1988 18 taking take VBG A34005 1988 19 the the DT A34005 1988 20 nearest near JJS A34005 1988 21 extent extent NN A34005 1988 22 from from IN A34005 1988 23 sine sine NN A34005 1988 24 of of IN A34005 1988 25 37d 37d NNS A34005 1988 26 to to IN A34005 1988 27 the the DT A34005 1988 28 Thread thread NN A34005 1988 29 lying lie VBG A34005 1988 30 over over IN A34005 1988 31 43d 43d NNS A34005 1988 32 of of IN A34005 1988 33 the the DT A34005 1988 34 Limb Limb NNP A34005 1988 35 the the DT A34005 1988 36 Coaltitude Coaltitude NNP A34005 1988 37 . . . A34005 1989 1 Then then RB A34005 1989 2 the the DT A34005 1989 3 distance distance NN A34005 1989 4 between between IN A34005 1989 5 the the DT A34005 1989 6 sines sine NNS A34005 1989 7 of of IN A34005 1989 8 10d 10d NNPS A34005 1989 9 , , , A34005 1989 10 the the DT A34005 1989 11 Ark Ark NNP A34005 1989 12 of of IN A34005 1989 13 difference difference NN A34005 1989 14 as as IN A34005 1989 15 above above RB A34005 1989 16 , , , A34005 1989 17 and and CC A34005 1989 18 the the DT A34005 1989 19 sine sine NN A34005 1989 20 of of IN A34005 1989 21 20 20 CD A34005 1989 22 the the DT A34005 1989 23 Suns Suns NNPS A34005 1989 24 North North NNP A34005 1989 25 Declination Declination NNP A34005 1989 26 being be VBG A34005 1989 27 entred entre VBN A34005 1989 28 at at IN A34005 1989 29 the the DT A34005 1989 30 Point Point NNP A34005 1989 31 of of IN A34005 1989 32 entrance entrance NN A34005 1989 33 , , , A34005 1989 34 and and CC A34005 1989 35 the the DT A34005 1989 36 Thread thread NN A34005 1989 37 laid lay VBD A34005 1989 38 to to IN A34005 1989 39 the the DT A34005 1989 40 other other JJ A34005 1989 41 foot foot NN A34005 1989 42 , , , A34005 1989 43 will will MD A34005 1989 44 shew shew VB A34005 1989 45 53d 53d NNS A34005 1989 46 55′ 55′ CD A34005 1989 47 in in IN A34005 1989 48 the the DT A34005 1989 49 Versed versed JJ A34005 1989 50 sine sine NN A34005 1989 51 of of IN A34005 1989 52 90d 90d NNS A34005 1989 53 for for IN A34005 1989 54 the the DT A34005 1989 55 Suns Suns NNPS A34005 1989 56 Azimuth Azimuth NNP A34005 1989 57 from from IN A34005 1989 58 the the DT A34005 1989 59 South South NNP A34005 1989 60 . . . A34005 1990 1 A a DT A34005 1990 2 third third JJ A34005 1990 3 Example example NN A34005 1990 4 when when WRB A34005 1990 5 the the DT A34005 1990 6 Altitude altitude NN A34005 1990 7 is be VBZ A34005 1990 8 less less JJR A34005 1990 9 then then RB A34005 1990 10 the the DT A34005 1990 11 Colatitude Colatitude NNP A34005 1990 12 in in IN A34005 1990 13 Summer Summer NNP A34005 1990 14 . . . A34005 1991 1 Complement Complement NNP A34005 1991 2 Latitude Latitude NNP A34005 1991 3 37d 37d NNPS A34005 1991 4 of of IN A34005 1991 5 Nottingham Nottingham NNP A34005 1991 6 . . . A34005 1992 1 Altitude altitude NN A34005 1992 2 — — : A34005 1992 3 34 34 CD A34005 1992 4 difference difference NN A34005 1992 5 — — : A34005 1992 6 3 3 CD A34005 1992 7 The the DT A34005 1992 8 Point Point NNP A34005 1992 9 of of IN A34005 1992 10 entrance entrance NN A34005 1992 11 will will MD A34005 1992 12 fall fall VB A34005 1992 13 at at IN A34005 1992 14 the the DT A34005 1992 15 sine sine NN A34005 1992 16 of of IN A34005 1992 17 29d 29d CD A34005 1992 18 55′ 55′ CD A34005 1992 19 , , , A34005 1992 20 and and CC A34005 1992 21 the the DT A34005 1992 22 sum sum NN A34005 1992 23 of of IN A34005 1992 24 the the DT A34005 1992 25 sines sine NNS A34005 1992 26 of of IN A34005 1992 27 3d 3d NNP A34005 1992 28 , , , A34005 1992 29 and and CC A34005 1992 30 of of IN A34005 1992 31 20d 20d NNS A34005 1992 32 the the DT A34005 1992 33 Suns Suns NNP A34005 1992 34 declination declination NN A34005 1992 35 supposed suppose VBN A34005 1992 36 North North NNP A34005 1992 37 , , , A34005 1992 38 is be VBZ A34005 1992 39 equal equal JJ A34005 1992 40 to to IN A34005 1992 41 the the DT A34005 1992 42 sine sine NN A34005 1992 43 of of IN A34005 1992 44 23d 23d CD A34005 1992 45 13′ 13′ CD A34005 1992 46 : : : A34005 1992 47 Which which WDT A34005 1992 48 Extent extent NN A34005 1992 49 entred entre VBD A34005 1992 50 at at IN A34005 1992 51 29d 29d CD A34005 1992 52 55′ 55′ CD A34005 1992 53 , , , A34005 1992 54 the the DT A34005 1992 55 Point Point NNP A34005 1992 56 of of IN A34005 1992 57 entrance entrance NN A34005 1992 58 , , , A34005 1992 59 and and CC A34005 1992 60 the the DT A34005 1992 61 Thread thread NN A34005 1992 62 laid lay VBD A34005 1992 63 to to IN A34005 1992 64 the the DT A34005 1992 65 other other JJ A34005 1992 66 foot foot NN A34005 1992 67 according accord VBG A34005 1992 68 to to IN A34005 1992 69 nearest near JJS A34005 1992 70 distance distance NN A34005 1992 71 , , , A34005 1992 72 it -PRON- PRP A34005 1992 73 will will MD A34005 1992 74 intersect intersect VB A34005 1992 75 the the DT A34005 1992 76 Versed versed JJ A34005 1992 77 sine sine NN A34005 1992 78 of of IN A34005 1992 79 90d 90d NNS A34005 1992 80 at at IN A34005 1992 81 the the DT A34005 1992 82 Ark Ark NNP A34005 1992 83 of of IN A34005 1992 84 77d 77d NNP A34005 1992 85 57′ 57′ NNP A34005 1992 86 , , , A34005 1992 87 and and CC A34005 1992 88 so so RB A34005 1992 89 much much JJ A34005 1992 90 is be VBZ A34005 1992 91 the the DT A34005 1992 92 Suns Suns NNPS A34005 1992 93 Azimuth Azimuth NNP A34005 1992 94 from from IN A34005 1992 95 the the DT A34005 1992 96 South South NNP A34005 1992 97 . . . A34005 1993 1 And and CC A34005 1993 2 if if IN A34005 1993 3 there there EX A34005 1993 4 were be VBD A34005 1993 5 no no DT A34005 1993 6 Versed versed JJ A34005 1993 7 sines sine NNS A34005 1993 8 in in IN A34005 1993 9 the the DT A34005 1993 10 Limbe Limbe NNP A34005 1993 11 , , , A34005 1993 12 find find VB A34005 1993 13 an an DT A34005 1993 14 Ark Ark NNP A34005 1993 15 of of IN A34005 1993 16 the the DT A34005 1993 17 equal equal JJ A34005 1993 18 Limbe Limbe NNP A34005 1993 19 , , , A34005 1993 20 and and CC A34005 1993 21 enter enter VB A34005 1993 22 the the DT A34005 1993 23 sine sine NN A34005 1993 24 of of IN A34005 1993 25 the the DT A34005 1993 26 said say VBN A34005 1993 27 Ark Ark NNP A34005 1993 28 down down IN A34005 1993 29 the the DT A34005 1993 30 Line Line NNP A34005 1993 31 of of IN A34005 1993 32 sines sine NNS A34005 1993 33 from from IN A34005 1993 34 the the DT A34005 1993 35 other other JJ A34005 1993 36 end end NN A34005 1993 37 , , , A34005 1993 38 and and CC A34005 1993 39 you -PRON- PRP A34005 1993 40 may may MD A34005 1993 41 obtain obtain VB A34005 1993 42 the the DT A34005 1993 43 Versed Versed NNP A34005 1993 44 sine sine NN A34005 1993 45 of of IN A34005 1993 46 the the DT A34005 1993 47 Ark Ark NNP A34005 1993 48 sought seek VBD A34005 1993 49 . . . A34005 1994 1 More More JJR A34005 1994 2 Examples example NNS A34005 1994 3 need nee MD A34005 1994 4 not not RB A34005 1994 5 be be VB A34005 1994 6 insisted insist VBN A34005 1994 7 upon upon IN A34005 1994 8 , , , A34005 1994 9 having have VBG A34005 1994 10 found find VBN A34005 1994 11 the the DT A34005 1994 12 Point Point NNP A34005 1994 13 of of IN A34005 1994 14 entrance entrance NN A34005 1994 15 , , , A34005 1994 16 the the DT A34005 1994 17 distance distance NN A34005 1994 18 between between IN A34005 1994 19 the the DT A34005 1994 20 Versed versed JJ A34005 1994 21 sines sine NNS A34005 1994 22 of of IN A34005 1994 23 the the DT A34005 1994 24 Base Base NNP A34005 1994 25 or or CC A34005 1994 26 side side NN A34005 1994 27 subtending subtend VBG A34005 1994 28 the the DT A34005 1994 29 angle angle NN A34005 1994 30 sought seek VBD A34005 1994 31 , , , A34005 1994 32 and and CC A34005 1994 33 of of IN A34005 1994 34 the the DT A34005 1994 35 Ark Ark NNP A34005 1994 36 of of IN A34005 1994 37 difference difference NN A34005 1994 38 between between IN A34005 1994 39 the the DT A34005 1994 40 two two CD A34005 1994 41 including include VBG A34005 1994 42 sides side NNS A34005 1994 43 , , , A34005 1994 44 being be VBG A34005 1994 45 taken take VBN A34005 1994 46 out out IN A34005 1994 47 of of IN A34005 1994 48 the the DT A34005 1994 49 streight streight JJ A34005 1994 50 Line Line NNP A34005 1994 51 of of IN A34005 1994 52 Versed versed JJ A34005 1994 53 Lines Lines NNP A34005 1994 54 on on IN A34005 1994 55 the the DT A34005 1994 56 left left JJ A34005 1994 57 edge edge NN A34005 1994 58 , , , A34005 1994 59 and and CC A34005 1994 60 entred entre VBD A34005 1994 61 at at IN A34005 1994 62 the the DT A34005 1994 63 Point Point NNP A34005 1994 64 of of IN A34005 1994 65 entrance entrance NN A34005 1994 66 , , , A34005 1994 67 laying lay VBG A34005 1994 68 the the DT A34005 1994 69 Thread thread NN A34005 1994 70 to to IN A34005 1994 71 the the DT A34005 1994 72 other other JJ A34005 1994 73 foot foot NN A34005 1994 74 shews shew NNS A34005 1994 75 in in IN A34005 1994 76 the the DT A34005 1994 77 Versed Versed NNP A34005 1994 78 Sine Sine NNP A34005 1994 79 of of IN A34005 1994 80 180d 180d NNPS A34005 1994 81 in in IN A34005 1994 82 the the DT A34005 1994 83 Limb Limb NNP A34005 1994 84 the the DT A34005 1994 85 angle angle NN A34005 1994 86 sought seek VBD A34005 1994 87 ; ; : A34005 1994 88 and and CC A34005 1994 89 if if IN A34005 1994 90 the the DT A34005 1994 91 said say VBN A34005 1994 92 distance distance NN A34005 1994 93 or or CC A34005 1994 94 Extent extent NN A34005 1994 95 be be VB A34005 1994 96 doubled double VBN A34005 1994 97 , , , A34005 1994 98 and and CC A34005 1994 99 there there RB A34005 1994 100 entred entre VBD A34005 1994 101 it -PRON- PRP A34005 1994 102 shews shew VBZ A34005 1994 103 the the DT A34005 1994 104 angle angle NN A34005 1994 105 sought seek VBN A34005 1994 106 in in IN A34005 1994 107 the the DT A34005 1994 108 Versed Versed NNP A34005 1994 109 Sine Sine NNP A34005 1994 110 of of IN A34005 1994 111 90d 90d CD A34005 1994 112 , , , A34005 1994 113 when when WRB A34005 1994 114 the the DT A34005 1994 115 Angle Angle NNP A34005 1994 116 is be VBZ A34005 1994 117 less less JJR A34005 1994 118 then then RB A34005 1994 119 a a DT A34005 1994 120 Quadrant Quadrant NNP A34005 1994 121 , , , A34005 1994 122 when when WRB A34005 1994 123 more more JJR A34005 1994 124 , , , A34005 1994 125 the the DT A34005 1994 126 distance distance NN A34005 1994 127 between between IN A34005 1994 128 the the DT A34005 1994 129 Versed Versed NNP A34005 1994 130 Sines Sines NNPS A34005 1994 131 of of IN A34005 1994 132 the the DT A34005 1994 133 Base Base NNP A34005 1994 134 and and CC A34005 1994 135 the the DT A34005 1994 136 sum sum NN A34005 1994 137 of of IN A34005 1994 138 the the DT A34005 1994 139 Legs Legs NNP A34005 1994 140 , , , A34005 1994 141 will will MD A34005 1994 142 find find VB A34005 1994 143 the the DT A34005 1994 144 Complement Complement NNP A34005 1994 145 of of IN A34005 1994 146 the the DT A34005 1994 147 angle angle NN A34005 1994 148 sought seek VBD A34005 1994 149 to to IN A34005 1994 150 a a DT A34005 1994 151 Semicircle Semicircle NNP A34005 1994 152 without without IN A34005 1994 153 doubling double VBG A34005 1994 154 in in IN A34005 1994 155 the the DT A34005 1994 156 Versed Versed NNP A34005 1994 157 Sine Sine NNP A34005 1994 158 of of IN A34005 1994 159 180d 180d NNPS A34005 1994 160 in in IN A34005 1994 161 the the DT A34005 1994 162 Limb Limb NNP A34005 1994 163 , , , A34005 1994 164 with with IN A34005 1994 165 doubling double VBG A34005 1994 166 in in IN A34005 1994 167 the the DT A34005 1994 168 Versed Versed NNP A34005 1994 169 Sine Sine NNP A34005 1994 170 of of IN A34005 1994 171 90d 90d CD A34005 1994 172 . . . A34005 1995 1 Lastly lastly RB A34005 1995 2 , , , A34005 1995 3 Three three CD A34005 1995 4 sides side NNS A34005 1995 5 , , , A34005 1995 6 viz viz NN A34005 1995 7 . . . A34005 1996 1 all all DT A34005 1996 2 less less RBR A34005 1996 3 then then RB A34005 1996 4 Quadrants Quadrants NNPS A34005 1996 5 , , , A34005 1996 6 or or CC A34005 1996 7 one one CD A34005 1996 8 of of IN A34005 1996 9 them -PRON- PRP A34005 1996 10 greater great JJR A34005 1996 11 , , , A34005 1996 12 generally generally RB A34005 1996 13 to to TO A34005 1996 14 find find VB A34005 1996 15 an an DT A34005 1996 16 angle angle NN A34005 1996 17 in in IN A34005 1996 18 the the DT A34005 1996 19 equal equal JJ A34005 1996 20 Limb Limb NNP A34005 1996 21 , , , A34005 1996 22 the the DT A34005 1996 23 Proportion proportion NN A34005 1996 24 will will MD A34005 1996 25 be be VB A34005 1996 26 , , , A34005 1996 27 As as IN A34005 1996 28 the the DT A34005 1996 29 Radius Radius NNP A34005 1996 30 , , , A34005 1996 31 Is be VBZ A34005 1996 32 to to IN A34005 1996 33 the the DT A34005 1996 34 Cosine Cosine NNP A34005 1996 35 of of IN A34005 1996 36 one one CD A34005 1996 37 of of IN A34005 1996 38 the the DT A34005 1996 39 including include VBG A34005 1996 40 sides side NNS A34005 1996 41 : : : A34005 1996 42 So so RB A34005 1996 43 is be VBZ A34005 1996 44 the the DT A34005 1996 45 Cosine Cosine NNP A34005 1996 46 of of IN A34005 1996 47 the the DT A34005 1996 48 other other JJ A34005 1996 49 Includer Includer NNP A34005 1996 50 , , , A34005 1996 51 To to IN A34005 1996 52 a a DT A34005 1996 53 fourth fourth JJ A34005 1996 54 Sine Sine NNP A34005 1996 55 . . . A34005 1997 1 Again again RB A34005 1997 2 , , , A34005 1997 3 As as IN A34005 1997 4 the the DT A34005 1997 5 Sine Sine NNP A34005 1997 6 of of IN A34005 1997 7 one one CD A34005 1997 8 of of IN A34005 1997 9 the the DT A34005 1997 10 Includers Includers NNPS A34005 1997 11 , , , A34005 1997 12 To to IN A34005 1997 13 the the DT A34005 1997 14 Cosecant Cosecant NNP A34005 1997 15 of of IN A34005 1997 16 the the DT A34005 1997 17 other other JJ A34005 1997 18 : : : A34005 1997 19 So so CC A34005 1997 20 when when WRB A34005 1997 21 any any DT A34005 1997 22 one one CD A34005 1997 23 of of IN A34005 1997 24 the the DT A34005 1997 25 sides side NNS A34005 1997 26 is be VBZ A34005 1997 27 greater great JJR A34005 1997 28 then then RB A34005 1997 29 a a DT A34005 1997 30 Quadrant Quadrant NNP A34005 1997 31 is be VBZ A34005 1997 32 the the DT A34005 1997 33 sum sum NN A34005 1997 34 , , , A34005 1997 35 but but CC A34005 1997 36 when when WRB A34005 1997 37 all all DT A34005 1997 38 less less JJR A34005 1997 39 , , , A34005 1997 40 the the DT A34005 1997 41 difference difference NN A34005 1997 42 of of IN A34005 1997 43 the the DT A34005 1997 44 fourth fourth JJ A34005 1997 45 Sine Sine NNP A34005 1997 46 , , , A34005 1997 47 and and CC A34005 1997 48 of of IN A34005 1997 49 the the DT A34005 1997 50 Cosine Cosine NNP A34005 1997 51 of of IN A34005 1997 52 the the DT A34005 1997 53 third third JJ A34005 1997 54 side side NN A34005 1997 55 , , , A34005 1997 56 To to IN A34005 1997 57 the the DT A34005 1997 58 Cosine Cosine NNP A34005 1997 59 of of IN A34005 1997 60 the the DT A34005 1997 61 angle angle NN A34005 1997 62 sought seek VBN A34005 1997 63 . . . A34005 1998 1 If if IN A34005 1998 2 any any DT A34005 1998 3 of of IN A34005 1998 4 the the DT A34005 1998 5 three three CD A34005 1998 6 sides side NNS A34005 1998 7 be be VB A34005 1998 8 greater great JJR A34005 1998 9 then then RB A34005 1998 10 a a DT A34005 1998 11 Quadrant Quadrant NNP A34005 1998 12 , , , A34005 1998 13 it -PRON- PRP A34005 1998 14 subtends subtend VBZ A34005 1998 15 an an DT A34005 1998 16 Obtuse Obtuse NNP A34005 1998 17 angle angle NN A34005 1998 18 , , , A34005 1998 19 the the DT A34005 1998 20 other other JJ A34005 1998 21 angles angle NNS A34005 1998 22 being be VBG A34005 1998 23 Acute acute JJ A34005 1998 24 ; ; : A34005 1998 25 But but CC A34005 1998 26 when when WRB A34005 1998 27 they -PRON- PRP A34005 1998 28 are be VBP A34005 1998 29 all all RB A34005 1998 30 less less JJR A34005 1998 31 then then RB A34005 1998 32 Quadrants Quadrants NNPS A34005 1998 33 , , , A34005 1998 34 if if IN A34005 1998 35 the the DT A34005 1998 36 4th 4th NN A34005 1998 37 Sine Sine NNP A34005 1998 38 be be VB A34005 1998 39 less less JJR A34005 1998 40 then then RB A34005 1998 41 the the DT A34005 1998 42 Cosine Cosine NNP A34005 1998 43 of of IN A34005 1998 44 the the DT A34005 1998 45 third third JJ A34005 1998 46 side side NN A34005 1998 47 , , , A34005 1998 48 the the DT A34005 1998 49 angle angle NN A34005 1998 50 sought seek VBD A34005 1998 51 is be VBZ A34005 1998 52 Acute acute JJ A34005 1998 53 , , , A34005 1998 54 if if IN A34005 1998 55 equal equal JJ A34005 1998 56 thereto thereto NN A34005 1998 57 , , , A34005 1998 58 it -PRON- PRP A34005 1998 59 is be VBZ A34005 1998 60 a a DT A34005 1998 61 right right JJ A34005 1998 62 angle angle NN A34005 1998 63 , , , A34005 1998 64 if if IN A34005 1998 65 greater great JJR A34005 1998 66 an an DT A34005 1998 67 Obtuse Obtuse NNP A34005 1998 68 angle angle NN A34005 1998 69 . . . A34005 1999 1 From from IN A34005 1999 2 the the DT A34005 1999 3 Proportion proportion NN A34005 1999 4 that that WDT A34005 1999 5 finds find VBZ A34005 1999 6 the the DT A34005 1999 7 Hour hour NN A34005 1999 8 from from IN A34005 1999 9 six six CD A34005 1999 10 , , , A34005 1999 11 we -PRON- PRP A34005 1999 12 may may MD A34005 1999 13 educe educe VB A34005 1999 14 a a DT A34005 1999 15 single single JJ A34005 1999 16 Proportion proportion NN A34005 1999 17 applyable applyable JJ A34005 1999 18 to to IN A34005 1999 19 the the DT A34005 1999 20 Logarithms Logarithms NNP A34005 1999 21 without without IN A34005 1999 22 natural natural JJ A34005 1999 23 Tables table NNS A34005 1999 24 for for IN A34005 1999 25 Calculating calculate VBG A34005 1999 26 the the DT A34005 1999 27 Hour Hour NNP A34005 1999 28 of of IN A34005 1999 29 the the DT A34005 1999 30 day day NN A34005 1999 31 to to IN A34005 1999 32 all all DT A34005 1999 33 Altitudes altitude NNS A34005 1999 34 , , , A34005 1999 35 By by IN A34005 1999 36 turning turn VBG A34005 1999 37 the the DT A34005 1999 38 third third JJ A34005 1999 39 Tearm Tearm NNP A34005 1999 40 , , , A34005 1999 41 being be VBG A34005 1999 42 a a DT A34005 1999 43 difference difference NN A34005 1999 44 of of IN A34005 1999 45 Sines Sines NNPS A34005 1999 46 or or CC A34005 1999 47 Versed Versed NNP A34005 1999 48 Sines Sines NNP A34005 1999 49 into into IN A34005 1999 50 a a DT A34005 1999 51 Rectangle Rectangle NNP A34005 1999 52 , , , A34005 1999 53 and and CC A34005 1999 54 freeing free VBG A34005 1999 55 it -PRON- PRP A34005 1999 56 from from IN A34005 1999 57 affection affection NN A34005 1999 58 . . . A34005 2000 1 The the DT A34005 2000 2 two two CD A34005 2000 3 first first JJ A34005 2000 4 Proportions proportion NNS A34005 2000 5 to to TO A34005 2000 6 be be VB A34005 2000 7 wrought work VBN A34005 2000 8 are be VBP A34005 2000 9 fixed fix VBN A34005 2000 10 for for IN A34005 2000 11 one one CD A34005 2000 12 Declination declination NN A34005 2000 13 ; ; : A34005 2000 14 The the DT A34005 2000 15 first first JJ A34005 2000 16 will will MD A34005 2000 17 be be VB A34005 2000 18 to to TO A34005 2000 19 find find VB A34005 2000 20 the the DT A34005 2000 21 Suns Suns NNPS A34005 2000 22 Altitude Altitude NNP A34005 2000 23 or or CC A34005 2000 24 Depression depression NN A34005 2000 25 at at IN A34005 2000 26 six six CD A34005 2000 27 . . . A34005 2001 1 The the DT A34005 2001 2 second second JJ A34005 2001 3 will will MD A34005 2001 4 be be VB A34005 2001 5 to to TO A34005 2001 6 find find VB A34005 2001 7 half half PDT A34005 2001 8 the the DT A34005 2001 9 difference difference NN A34005 2001 10 of of IN A34005 2001 11 the the DT A34005 2001 12 Sines Sines NNPS A34005 2001 13 of of IN A34005 2001 14 the the DT A34005 2001 15 Suns Suns NNP A34005 2001 16 Meridian Meridian NNP A34005 2001 17 Altitude Altitude NNP A34005 2001 18 , , , A34005 2001 19 and and CC A34005 2001 20 Altitude Altitude NNP A34005 2001 21 sought seek VBD A34005 2001 22 , , , A34005 2001 23 & & CC A34005 2001 24 c. c. NNP A34005 2001 25 as as IN A34005 2001 26 before before IN A34005 2001 27 defined define VBN A34005 2001 28 , , , A34005 2001 29 the the DT A34005 2001 30 Proportion Proportion NNP A34005 2001 31 to to TO A34005 2001 32 find find VB A34005 2001 33 it -PRON- PRP A34005 2001 34 is be VBZ A34005 2001 35 , , , A34005 2001 36 As as IN A34005 2001 37 the the DT A34005 2001 38 Secant Secant NNP A34005 2001 39 of of IN A34005 2001 40 60d 60d NNPS A34005 2001 41 , , , A34005 2001 42 To to IN A34005 2001 43 the the DT A34005 2001 44 Cosine Cosine NNP A34005 2001 45 of of IN A34005 2001 46 the the DT A34005 2001 47 Declination Declination NNP A34005 2001 48 : : : A34005 2001 49 So so RB A34005 2001 50 is be VBZ A34005 2001 51 the the DT A34005 2001 52 Cosine Cosine NNP A34005 2001 53 of of IN A34005 2001 54 the the DT A34005 2001 55 Latitude Latitude NNP A34005 2001 56 , , , A34005 2001 57 To to IN A34005 2001 58 the the DT A34005 2001 59 Sine Sine NNP A34005 2001 60 of of IN A34005 2001 61 a a DT A34005 2001 62 fourth fourth JJ A34005 2001 63 Arch Arch NNP A34005 2001 64 . . . A34005 2002 1 Lastly lastly RB A34005 2002 2 , , , A34005 2002 3 To to TO A34005 2002 4 find find VB A34005 2002 5 the the DT A34005 2002 6 Hour hour NN A34005 2002 7 . . . A34005 2003 1 Get get VB A34005 2003 2 the the DT A34005 2003 3 sum sum NN A34005 2003 4 and and CC A34005 2003 5 difference difference NN A34005 2003 6 of of IN A34005 2003 7 half half PDT A34005 2003 8 the the DT A34005 2003 9 Suns Suns NNPS A34005 2003 10 Zenith Zenith NNP A34005 2003 11 distance distance NN A34005 2003 12 at at IN A34005 2003 13 the the DT A34005 2003 14 hour hour NN A34005 2003 15 of of IN A34005 2003 16 six six CD A34005 2003 17 ; ; : A34005 2003 18 and and CC A34005 2003 19 of of IN A34005 2003 20 half half PDT A34005 2003 21 his -PRON- PRP$ A34005 2003 22 Zenith Zenith NNP A34005 2003 23 distance distance NN A34005 2003 24 to to IN A34005 2003 25 any any DT A34005 2003 26 other other JJ A34005 2003 27 proposed propose VBN A34005 2003 28 Altitude altitude NN A34005 2003 29 or or CC A34005 2003 30 Depression Depression NNP A34005 2003 31 . . . A34005 2004 1 Then then RB A34005 2004 2 , , , A34005 2004 3 As as IN A34005 2004 4 the the DT A34005 2004 5 Sine Sine NNP A34005 2004 6 of of IN A34005 2004 7 the the DT A34005 2004 8 fourth fourth JJ A34005 2004 9 Arch Arch NNP A34005 2004 10 , , , A34005 2004 11 Is be VBZ A34005 2004 12 to to IN A34005 2004 13 the the DT A34005 2004 14 Sine Sine NNP A34005 2004 15 of of IN A34005 2004 16 the the DT A34005 2004 17 sum sum NN A34005 2004 18 : : : A34005 2004 19 So so RB A34005 2004 20 is be VBZ A34005 2004 21 the the DT A34005 2004 22 Sine Sine NNP A34005 2004 23 of of IN A34005 2004 24 the the DT A34005 2004 25 difference difference NN A34005 2004 26 , , , A34005 2004 27 To to IN A34005 2004 28 the the DT A34005 2004 29 Sine Sine NNP A34005 2004 30 of of IN A34005 2004 31 the the DT A34005 2004 32 hour hour NN A34005 2004 33 from from IN A34005 2004 34 six six CD A34005 2004 35 towards towards IN A34005 2004 36 Noon Noon NNP A34005 2004 37 or or CC A34005 2004 38 Midnight Midnight NNP A34005 2004 39 , , , A34005 2004 40 according accord VBG A34005 2004 41 as as IN A34005 2004 42 the the DT A34005 2004 43 Altitude Altitude NNP A34005 2004 44 or or CC A34005 2004 45 Depression Depression NNP A34005 2004 46 was be VBD A34005 2004 47 greater great JJR A34005 2004 48 or or CC A34005 2004 49 lesser less JJR A34005 2004 50 then then RB A34005 2004 51 the the DT A34005 2004 52 Altitude altitude NN A34005 2004 53 or or CC A34005 2004 54 Depression depression NN A34005 2004 55 at at IN A34005 2004 56 six six CD A34005 2004 57 . . . A34005 2005 1 Observing observe VBG A34005 2005 2 that that IN A34005 2005 3 the the DT A34005 2005 4 Sine Sine NNP A34005 2005 5 of of IN A34005 2005 6 an an DT A34005 2005 7 Arch Arch NNP A34005 2005 8 greater great JJR A34005 2005 9 then then RB A34005 2005 10 a a DT A34005 2005 11 Quadrant Quadrant NNP A34005 2005 12 , , , A34005 2005 13 is be VBZ A34005 2005 14 the the DT A34005 2005 15 Sine Sine NNP A34005 2005 16 of of IN A34005 2005 17 that that DT A34005 2005 18 Arks Arks NNP A34005 2005 19 Complement Complement NNP A34005 2005 20 to to IN A34005 2005 21 a a DT A34005 2005 22 Semicircle Semicircle NNP A34005 2005 23 . . . A34005 2006 1 Of of IN A34005 2006 2 the the DT A34005 2006 3 Stars Stars NNPS A34005 2006 4 placed place VBN A34005 2006 5 upon upon IN A34005 2006 6 the the DT A34005 2006 7 Quadrant Quadrant NNP A34005 2006 8 below below IN A34005 2006 9 the the DT A34005 2006 10 Projection Projection NNP A34005 2006 11 . . . A34005 2007 1 ALL all DT A34005 2007 2 the the DT A34005 2007 3 Stars Stars NNPS A34005 2007 4 placed place VBN A34005 2007 5 upon upon IN A34005 2007 6 the the DT A34005 2007 7 Projection Projection NNP A34005 2007 8 are be VBP A34005 2007 9 such such JJ A34005 2007 10 as as IN A34005 2007 11 fall fall NN A34005 2007 12 between between IN A34005 2007 13 the the DT A34005 2007 14 Tropicks tropick NNS A34005 2007 15 and and CC A34005 2007 16 the the DT A34005 2007 17 Hour Hour NNP A34005 2007 18 may may MD A34005 2007 19 be be VB A34005 2007 20 found find VBN A34005 2007 21 by by IN A34005 2007 22 them -PRON- PRP A34005 2007 23 with with IN A34005 2007 24 the the DT A34005 2007 25 Projection Projection NNP A34005 2007 26 , , , A34005 2007 27 as as IN A34005 2007 28 in in IN A34005 2007 29 the the DT A34005 2007 30 Use Use NNP A34005 2007 31 of of IN A34005 2007 32 the the DT A34005 2007 33 small small JJ A34005 2007 34 Quadrant quadrant NN A34005 2007 35 : : : A34005 2007 36 Which which WDT A34005 2007 37 may may MD A34005 2007 38 also also RB A34005 2007 39 be be VB A34005 2007 40 found find VBN A34005 2007 41 by by IN A34005 2007 42 the the DT A34005 2007 43 fitted fitted JJ A34005 2007 44 particular particular JJ A34005 2007 45 Scale Scale NNP A34005 2007 46 , , , A34005 2007 47 not not RB A34005 2007 48 only only RB A34005 2007 49 for for IN A34005 2007 50 Stars star NNS A34005 2007 51 within within IN A34005 2007 52 the the DT A34005 2007 53 Tropicks tropick NNS A34005 2007 54 , , , A34005 2007 55 but but CC A34005 2007 56 for for IN A34005 2007 57 all all DT A34005 2007 58 others other NNS A34005 2007 59 without without IN A34005 2007 60 , , , A34005 2007 61 when when WRB A34005 2007 62 their -PRON- PRP$ A34005 2007 63 Altitude altitude NN A34005 2007 64 is be VBZ A34005 2007 65 less less JJR A34005 2007 66 then then RB A34005 2007 67 62d 62d NNS A34005 2007 68 , , , A34005 2007 69 and and CC A34005 2007 70 likewise likewise RB A34005 2007 71 their -PRON- PRP$ A34005 2007 72 Azimuth azimuth NN A34005 2007 73 may may MD A34005 2007 74 be be VB A34005 2007 75 thereby thereby RB A34005 2007 76 found find VBN A34005 2007 77 when when WRB A34005 2007 78 their -PRON- PRP$ A34005 2007 79 Declination declination NN A34005 2007 80 is be VBZ A34005 2007 81 not not RB A34005 2007 82 more more JJR A34005 2007 83 then then RB A34005 2007 84 62d 62d NNS A34005 2007 85 . . . A34005 2008 1 For for IN A34005 2008 2 other other JJ A34005 2008 3 Stars star NNS A34005 2008 4 without without IN A34005 2008 5 the the DT A34005 2008 6 Tropicks tropick NNS A34005 2008 7 , , , A34005 2008 8 they -PRON- PRP A34005 2008 9 may may MD A34005 2008 10 be be VB A34005 2008 11 put put VBN A34005 2008 12 on on RP A34005 2008 13 below below IN A34005 2008 14 the the DT A34005 2008 15 Projection Projection NNP A34005 2008 16 any any RB A34005 2008 17 where where WRB A34005 2008 18 in in IN A34005 2008 19 such such PDT A34005 2008 20 an an DT A34005 2008 21 angle angle NN A34005 2008 22 that that WDT A34005 2008 23 the the DT A34005 2008 24 Thread thread NN A34005 2008 25 laid lay VBD A34005 2008 26 over over IN A34005 2008 27 the the DT A34005 2008 28 Star Star NNP A34005 2008 29 shall shall MD A34005 2008 30 shew shew VB A34005 2008 31 an an DT A34005 2008 32 Ark Ark NNP A34005 2008 33 in in IN A34005 2008 34 the the DT A34005 2008 35 Limb Limb NNP A34005 2008 36 , , , A34005 2008 37 at at IN A34005 2008 38 which which WDT A34005 2008 39 in in IN A34005 2008 40 the the DT A34005 2008 41 Sines Sines NNP A34005 2008 42 the the DT A34005 2008 43 Point Point NNP A34005 2008 44 of of IN A34005 2008 45 entrance entrance NN A34005 2008 46 will will MD A34005 2008 47 always always RB A34005 2008 48 fall fall VB A34005 2008 49 ; ; : A34005 2008 50 And and CC A34005 2008 51 again again RB A34005 2008 52 , , , A34005 2008 53 the the DT A34005 2008 54 same same JJ A34005 2008 55 Star Star NNP A34005 2008 56 is be VBZ A34005 2008 57 to to TO A34005 2008 58 be be VB A34005 2008 59 graved grave VBN A34005 2008 60 at at IN A34005 2008 61 its -PRON- PRP$ A34005 2008 62 Altitude altitude NN A34005 2008 63 or or CC A34005 2008 64 Depression depression NN A34005 2008 65 at at IN A34005 2008 66 six six CD A34005 2008 67 in in IN A34005 2008 68 the the DT A34005 2008 69 Sines Sines NNPS A34005 2008 70 , , , A34005 2008 71 and and CC A34005 2008 72 then then RB A34005 2008 73 to to TO A34005 2008 74 find find VB A34005 2008 75 the the DT A34005 2008 76 Stars Stars NNP A34005 2008 77 hour hour NN A34005 2008 78 in in IN A34005 2008 79 that that DT A34005 2008 80 Latitude Latitude NNP A34005 2008 81 whereto whereto NN A34005 2008 82 they -PRON- PRP A34005 2008 83 are be VBP A34005 2008 84 fitted fit VBN A34005 2008 85 , , , A34005 2008 86 will will MD A34005 2008 87 always always RB A34005 2008 88 for for IN A34005 2008 89 Northern Northern NNP A34005 2008 90 Stars Stars NNPS A34005 2008 91 be be VB A34005 2008 92 to to TO A34005 2008 93 take take VB A34005 2008 94 the the DT A34005 2008 95 distance distance NN A34005 2008 96 in in IN A34005 2008 97 the the DT A34005 2008 98 Line Line NNP A34005 2008 99 of of IN A34005 2008 100 Sines Sines NNPS A34005 2008 101 between between IN A34005 2008 102 the the DT A34005 2008 103 Star Star NNP A34005 2008 104 and and CC A34005 2008 105 its -PRON- PRP$ A34005 2008 106 given give VBN A34005 2008 107 Altitude altitude NN A34005 2008 108 , , , A34005 2008 109 and and CC A34005 2008 110 to to TO A34005 2008 111 enter enter VB A34005 2008 112 that that DT A34005 2008 113 Extent extent NN A34005 2008 114 at at IN A34005 2008 115 the the DT A34005 2008 116 Point point NN A34005 2008 117 of of IN A34005 2008 118 entrance entrance NN A34005 2008 119 , , , A34005 2008 120 laying lay VBG A34005 2008 121 the the DT A34005 2008 122 Thread thread NN A34005 2008 123 to to IN A34005 2008 124 the the DT A34005 2008 125 other other JJ A34005 2008 126 foot foot NN A34005 2008 127 according accord VBG A34005 2008 128 to to IN A34005 2008 129 nearest near JJS A34005 2008 130 distance distance NN A34005 2008 131 , , , A34005 2008 132 and and CC A34005 2008 133 it -PRON- PRP A34005 2008 134 gives give VBZ A34005 2008 135 the the DT A34005 2008 136 Stars Stars NNP A34005 2008 137 hour hour NN A34005 2008 138 in in IN A34005 2008 139 the the DT A34005 2008 140 equal equal JJ A34005 2008 141 Limb Limb NNP A34005 2008 142 from from IN A34005 2008 143 six six CD A34005 2008 144 , , , A34005 2008 145 which which WDT A34005 2008 146 may may MD A34005 2008 147 also also RB A34005 2008 148 be be VB A34005 2008 149 found find VBN A34005 2008 150 in in IN A34005 2008 151 the the DT A34005 2008 152 Sines Sines NNPS A34005 2008 153 by by IN A34005 2008 154 a a DT A34005 2008 155 Parrallel Parrallel NNP A34005 2008 156 entrance entrance NN A34005 2008 157 , , , A34005 2008 158 laying lay VBG A34005 2008 159 the the DT A34005 2008 160 Thread Thread NNP A34005 2008 161 over over IN A34005 2008 162 the the DT A34005 2008 163 Star Star NNP A34005 2008 164 . . . A34005 2009 1 Example example NN A34005 2009 2 . . . A34005 2010 1 Let let VB A34005 2010 2 the the DT A34005 2010 3 Altitude altitude NN A34005 2010 4 of of IN A34005 2010 5 the the DT A34005 2010 6 last last JJ A34005 2010 7 in in IN A34005 2010 8 the the DT A34005 2010 9 end end NN A34005 2010 10 of of IN A34005 2010 11 the the DT A34005 2010 12 great great JJ A34005 2010 13 Bears bear NNS A34005 2010 14 Tail Tail NNP A34005 2010 15 be be VB A34005 2010 16 63d 63d NNS A34005 2010 17 , , , A34005 2010 18 take take VB A34005 2010 19 the the DT A34005 2010 20 distance distance NN A34005 2010 21 between between IN A34005 2010 22 it -PRON- PRP A34005 2010 23 and and CC A34005 2010 24 the the DT A34005 2010 25 Star Star NNP A34005 2010 26 which which WDT A34005 2010 27 is be VBZ A34005 2010 28 graved grave VBN A34005 2010 29 at at IN A34005 2010 30 37d 37d NNS A34005 2010 31 30′ 30′ CD A34005 2010 32 of of IN A34005 2010 33 the the DT A34005 2010 34 Sines Sines NNPS A34005 2010 35 , , , A34005 2010 36 the the DT A34005 2010 37 said say VBD A34005 2010 38 Extent extent NN A34005 2010 39 entred entre VBD A34005 2010 40 at at IN A34005 2010 41 the the DT A34005 2010 42 Sine Sine NNP A34005 2010 43 of of IN A34005 2010 44 23d 23d CD A34005 2010 45 , , , A34005 2010 46 the the DT A34005 2010 47 Ark Ark NNP A34005 2010 48 of of IN A34005 2010 49 the the DT A34005 2010 50 Limb Limb NNP A34005 2010 51 the the DT A34005 2010 52 Thread Thread NNP A34005 2010 53 intersects intersect VBZ A34005 2010 54 when when WRB A34005 2010 55 it -PRON- PRP A34005 2010 56 lies lie VBZ A34005 2010 57 over over IN A34005 2010 58 the the DT A34005 2010 59 said say VBN A34005 2010 60 Star Star NNP A34005 2010 61 , , , A34005 2010 62 and and CC A34005 2010 63 by by IN A34005 2010 64 laying lay VBG A34005 2010 65 the the DT A34005 2010 66 Thread Thread NNP A34005 2010 67 to to IN A34005 2010 68 the the DT A34005 2010 69 other other JJ A34005 2010 70 foot foot NN A34005 2010 71 you -PRON- PRP A34005 2010 72 will will MD A34005 2010 73 find find VB A34005 2010 74 that that IN A34005 2010 75 Stars Stars NNP A34005 2010 76 hour hour NN A34005 2010 77 to to TO A34005 2010 78 be be VB A34005 2010 79 46d 46d NNS A34005 2010 80 11′ 11′ CD A34005 2010 81 from from IN A34005 2010 82 six six CD A34005 2010 83 towards towards IN A34005 2010 84 Noon Noon NNP A34005 2010 85 Meridian Meridian NNP A34005 2010 86 , , , A34005 2010 87 if if IN A34005 2010 88 the the DT A34005 2010 89 Altitude altitude NN A34005 2010 90 increase increase NN A34005 2010 91 , , , A34005 2010 92 and and CC A34005 2010 93 in in IN A34005 2010 94 finding find VBG A34005 2010 95 the the DT A34005 2010 96 true true JJ A34005 2010 97 time time NN A34005 2010 98 of of IN A34005 2010 99 the the DT A34005 2010 100 night night NN A34005 2010 101 , , , A34005 2010 102 the the DT A34005 2010 103 Stars Stars NNP A34005 2010 104 hour hour NN A34005 2010 105 must must MD A34005 2010 106 be be VB A34005 2010 107 always always RB A34005 2010 108 reckoned reckon VBN A34005 2010 109 from from IN A34005 2010 110 the the DT A34005 2010 111 Meridian Meridian NNP A34005 2010 112 it -PRON- PRP A34005 2010 113 was be VBD A34005 2010 114 last last JJ A34005 2010 115 upon upon IN A34005 2010 116 ; ; : A34005 2010 117 in in IN A34005 2010 118 this this DT A34005 2010 119 Example Example NNP A34005 2010 120 it -PRON- PRP A34005 2010 121 will will MD A34005 2010 122 be be VB A34005 2010 123 5 5 CD A34005 2010 124 minutes minute NNS A34005 2010 125 past past IN A34005 2010 126 9 9 CD A34005 2010 127 feré feré NN A34005 2010 128 . . . A34005 2011 1 Of of IN A34005 2011 2 the the DT A34005 2011 3 Quadrant Quadrant NNP A34005 2011 4 of of IN A34005 2011 5 Ascensions Ascensions NNPS A34005 2011 6 on on IN A34005 2011 7 the the DT A34005 2011 8 backside backside NN A34005 2011 9 , , , A34005 2011 10 This this DT A34005 2011 11 Quadrant Quadrant NNP A34005 2011 12 is be VBZ A34005 2011 13 divided divide VBN A34005 2011 14 into into IN A34005 2011 15 24 24 CD A34005 2011 16 Hours hour NNS A34005 2011 17 with with IN A34005 2011 18 their -PRON- PRP$ A34005 2011 19 quarters quarter NNS A34005 2011 20 and and CC A34005 2011 21 subdivisions subdivision NNS A34005 2011 22 , , , A34005 2011 23 and and CC A34005 2011 24 serves serve VBZ A34005 2011 25 to to TO A34005 2011 26 give give VB A34005 2011 27 the the DT A34005 2011 28 right right JJ A34005 2011 29 Ascension ascension NN A34005 2011 30 of of IN A34005 2011 31 a a DT A34005 2011 32 Star Star NNP A34005 2011 33 , , , A34005 2011 34 as as IN A34005 2011 35 in in IN A34005 2011 36 the the DT A34005 2011 37 small small JJ A34005 2011 38 Quadrant Quadrant NNP A34005 2011 39 to to TO A34005 2011 40 be be VB A34005 2011 41 cast cast VBN A34005 2011 42 up up RP A34005 2011 43 by by IN A34005 2011 44 the the DT A34005 2011 45 Pen Pen NNP A34005 2011 46 . . . A34005 2012 1 It -PRON- PRP A34005 2012 2 also also RB A34005 2012 3 serves serve VBZ A34005 2012 4 to to TO A34005 2012 5 find find VB A34005 2012 6 the the DT A34005 2012 7 true true JJ A34005 2012 8 Hour Hour NNP A34005 2012 9 of of IN A34005 2012 10 the the DT A34005 2012 11 night night NN A34005 2012 12 with with IN A34005 2012 13 Compasses compass NNS A34005 2012 14 . . . A34005 2013 1 First first RB A34005 2013 2 having have VBG A34005 2013 3 found find VBN A34005 2013 4 the the DT A34005 2013 5 Stars Stars NNP A34005 2013 6 hour hour NN A34005 2013 7 , , , A34005 2013 8 take take VB A34005 2013 9 the the DT A34005 2013 10 distance distance NN A34005 2013 11 on on IN A34005 2013 12 the the DT A34005 2013 13 Quadrant Quadrant NNP A34005 2013 14 of of IN A34005 2013 15 Ascensions Ascensions NNPS A34005 2013 16 in in IN A34005 2013 17 the the DT A34005 2013 18 same same JJ A34005 2013 19 12 12 CD A34005 2013 20 hours hour NNS A34005 2013 21 between between IN A34005 2013 22 the the DT A34005 2013 23 Star Star NNP A34005 2013 24 and and CC A34005 2013 25 the the DT A34005 2013 26 Suns Suns NNPS A34005 2013 27 Ascension Ascension NNP A34005 2013 28 ( ( -LRB- A34005 2013 29 given give VBN A34005 2013 30 by by IN A34005 2013 31 the the DT A34005 2013 32 foreside foreside NN A34005 2013 33 of of IN A34005 2013 34 the the DT A34005 2013 35 Quadrant Quadrant NNP A34005 2013 36 ) ) -RRB- A34005 2013 37 the the DT A34005 2013 38 said say VBN A34005 2013 39 Extent extent NN A34005 2013 40 shall shall MD A34005 2013 41 reach reach VB A34005 2013 42 from from IN A34005 2013 43 the the DT A34005 2013 44 Stars Stars NNPS A34005 2013 45 hour hour NN A34005 2013 46 to to IN A34005 2013 47 the the DT A34005 2013 48 true true JJ A34005 2013 49 hour hour NN A34005 2013 50 of of IN A34005 2013 51 the the DT A34005 2013 52 night night NN A34005 2013 53 , , , A34005 2013 54 and and CC A34005 2013 55 the the DT A34005 2013 56 foot foot NN A34005 2013 57 of of IN A34005 2013 58 the the DT A34005 2013 59 Compasses compass NNS A34005 2013 60 always always RB A34005 2013 61 fall fall VB A34005 2013 62 upon upon IN A34005 2013 63 the the DT A34005 2013 64 Quadrant Quadrant NNP A34005 2013 65 ; ; : A34005 2013 66 Which which WDT A34005 2013 67 Extent extent NN A34005 2013 68 must must MD A34005 2013 69 be be VB A34005 2013 70 applyed apply VBN A34005 2013 71 the the DT A34005 2013 72 same same JJ A34005 2013 73 way way NN A34005 2013 74 it -PRON- PRP A34005 2013 75 was be VBD A34005 2013 76 taken take VBN A34005 2013 77 , , , A34005 2013 78 the the DT A34005 2013 79 Suns Suns NNPS A34005 2013 80 foot foot NN A34005 2013 81 to to IN A34005 2013 82 the the DT A34005 2013 83 Stars Stars NNP A34005 2013 84 hour hour NN A34005 2013 85 . . . A34005 2014 1 Example example NN A34005 2014 2 . . . A34005 2015 1 If if IN A34005 2015 2 upon upon IN A34005 2015 3 the the DT A34005 2015 4 30th 30th NN A34005 2015 5 of of IN A34005 2015 6 December December NNP A34005 2015 7 the the DT A34005 2015 8 last last JJ A34005 2015 9 in in IN A34005 2015 10 the the DT A34005 2015 11 end end NN A34005 2015 12 of of IN A34005 2015 13 the the DT A34005 2015 14 Bears Bears NNP A34005 2015 15 Tail Tail NNP A34005 2015 16 were be VBD A34005 2015 17 found find VBN A34005 2015 18 to to TO A34005 2015 19 be be VB A34005 2015 20 9 9 CD A34005 2015 21 hours hour NNS A34005 2015 22 05′ 05′ CD A34005 2015 23 past past IN A34005 2015 24 the the DT A34005 2015 25 Meridian Meridian NNP A34005 2015 26 it -PRON- PRP A34005 2015 27 was be VBD A34005 2015 28 last last JJ A34005 2015 29 upon upon IN A34005 2015 30 , , , A34005 2015 31 the the DT A34005 2015 32 true true JJ A34005 2015 33 time time NN A34005 2015 34 sought seek VBD A34005 2015 35 would would MD A34005 2015 36 be be VB A34005 2015 37 16 16 CD A34005 2015 38 minutes minute NNS A34005 2015 39 past past IN A34005 2015 40 3 3 CD A34005 2015 41 in in IN A34005 2015 42 the the DT A34005 2015 43 morning morning NN A34005 2015 44 . . . A34005 2016 1 Another another DT A34005 2016 2 Example example NN A34005 2016 3 for for IN A34005 2016 4 the the DT A34005 2016 5 Bulls Bulls NNP A34005 2016 6 Eye Eye NNP A34005 2016 7 . . . A34005 2017 1 Admit admit VB A34005 2017 2 the the DT A34005 2017 3 Altitude altitude NN A34005 2017 4 of of IN A34005 2017 5 that that DT A34005 2017 6 Star Star NNP A34005 2017 7 be be VB A34005 2017 8 39 39 CD A34005 2017 9 d d NNS A34005 2017 10 , , , A34005 2017 11 that that IN A34005 2017 12 Stars Stars NNP A34005 2017 13 hour hour NN A34005 2017 14 as as IN A34005 2017 15 we -PRON- PRP A34005 2017 16 found find VBD A34005 2017 17 it -PRON- PRP A34005 2017 18 by by IN A34005 2017 19 the the DT A34005 2017 20 Line Line NNP A34005 2017 21 of of IN A34005 2017 22 Versed Versed NNP A34005 2017 23 Sines Sines NNP A34005 2017 24 was be VBD A34005 2017 25 3 3 CD A34005 2017 26 ho ho NN A34005 2017 27 3′ 3′ CD A34005 2017 28 from from IN A34005 2017 29 the the DT A34005 2017 30 Meridian Meridian NNP A34005 2017 31 , , , A34005 2017 32 if if IN A34005 2017 33 the the DT A34005 2017 34 Altitude altitude NN A34005 2017 35 increase increase NN A34005 2017 36 , , , A34005 2017 37 then then RB A34005 2017 38 that that IN A34005 2017 39 Stars Stars NNP A34005 2017 40 hour hour NN A34005 2017 41 from from IN A34005 2017 42 the the DT A34005 2017 43 Meridian Meridian NNP A34005 2017 44 it -PRON- PRP A34005 2017 45 was be VBD A34005 2017 46 last last JJ A34005 2017 47 upon upon IN A34005 2017 48 was be VBD A34005 2017 49 57 57 CD A34005 2017 50 minutes minute NNS A34005 2017 51 past past IN A34005 2017 52 8 8 CD A34005 2017 53 — — SYM A34005 2017 54 8 8 CD A34005 2017 55 h h NN A34005 2017 56 : : : A34005 2017 57 57′ 57′ XX A34005 2017 58 If if IN A34005 2017 59 this this DT A34005 2017 60 Observation observation NN A34005 2017 61 were be VBD A34005 2017 62 upon upon IN A34005 2017 63 the the DT A34005 2017 64 23d 23d NNS A34005 2017 65 of of IN A34005 2017 66 October October NNP A34005 2017 67 , , , A34005 2017 68 the the DT A34005 2017 69 Complement Complement NNP A34005 2017 70 of of IN A34005 2017 71 the the DT A34005 2017 72 Suns Suns NNPS A34005 2017 73 Ascension Ascension NNP A34005 2017 74 would would MD A34005 2017 75 be be VB A34005 2017 76 — — : A34005 2017 77 9 9 CD A34005 2017 78 : : : A34005 2017 79 30 30 CD A34005 2017 80 The the DT A34005 2017 81 Ascension ascension NN A34005 2017 82 of of IN A34005 2017 83 that that DT A34005 2017 84 Star Star NNP A34005 2017 85 is be VBZ A34005 2017 86 — — : A34005 2017 87 4 4 CD A34005 2017 88 : : SYM A34005 2017 89 16 16 CD A34005 2017 90 The the DT A34005 2017 91 true true JJ A34005 2017 92 time time NN A34005 2017 93 of of IN A34005 2017 94 the the DT A34005 2017 95 night night NN A34005 2017 96 would would MD A34005 2017 97 be be VB A34005 2017 98 forty forty CD A34005 2017 99 — — : A34005 2017 100 10 10 CD A34005 2017 101 : : : A34005 2017 102 43 43 CD A34005 2017 103 three three CD A34005 2017 104 minutes minute NNS A34005 2017 105 past past IN A34005 2017 106 ten ten CD A34005 2017 107 . . . A34005 2018 1 The the DT A34005 2018 2 distance distance NN A34005 2018 3 between between IN A34005 2018 4 the the DT A34005 2018 5 Star Star NNP A34005 2018 6 and and CC A34005 2018 7 the the DT A34005 2018 8 Suns Suns NNPS A34005 2018 9 Ascension Ascension NNP A34005 2018 10 being be VBG A34005 2018 11 applyed apply VBN A34005 2018 12 the the DT A34005 2018 13 same same JJ A34005 2018 14 way way NN A34005 2018 15 , , , A34005 2018 16 by by IN A34005 2018 17 setting set VBG A34005 2018 18 the the DT A34005 2018 19 Sun Sun NNP A34005 2018 20 foot foot NN A34005 2018 21 at at IN A34005 2018 22 the the DT A34005 2018 23 Stars Stars NNP A34005 2018 24 hour hour NN A34005 2018 25 will will MD A34005 2018 26 shew shew VB A34005 2018 27 the the DT A34005 2018 28 true true JJ A34005 2018 29 time time NN A34005 2018 30 sought seek VBD A34005 2018 31 . . . A34005 2019 1 When when WRB A34005 2019 2 the the DT A34005 2019 3 Star Star NNP A34005 2019 4 is be VBZ A34005 2019 5 past past IN A34005 2019 6 the the DT A34005 2019 7 Meridian Meridian NNP A34005 2019 8 , , , A34005 2019 9 having have VBG A34005 2019 10 the the DT A34005 2019 11 same same JJ A34005 2019 12 Altitude altitude NN A34005 2019 13 , , , A34005 2019 14 the the DT A34005 2019 15 Stars Stars NNP A34005 2019 16 hour hour NN A34005 2019 17 will will MD A34005 2019 18 be be VB A34005 2019 19 3′ 3′ CD A34005 2019 20 past past IN A34005 2019 21 3 3 CD A34005 2019 22 , , , A34005 2019 23 and and CC A34005 2019 24 the the DT A34005 2019 25 true true JJ A34005 2019 26 time time NN A34005 2019 27 sought seek VBD A34005 2019 28 , , , A34005 2019 29 will will MD A34005 2019 30 be be VB A34005 2019 31 49′ 49′ CD A34005 2019 32 past past IN A34005 2019 33 4 4 CD A34005 2019 34 in in IN A34005 2019 35 the the DT A34005 2019 36 next next JJ A34005 2019 37 morning morning NN A34005 2019 38 . . . A34005 2020 1 The the DT A34005 2020 2 Geometrical Geometrical NNP A34005 2020 3 Construction Construction NNP A34005 2020 4 of of IN A34005 2020 5 Mr Mr NNP A34005 2020 6 Fosters Fosters NNP A34005 2020 7 Circle Circle NNP A34005 2020 8 . . . A34005 2021 1 THe the DT A34005 2021 2 Circle Circle NNP A34005 2021 3 on on IN A34005 2021 4 the the DT A34005 2021 5 Back back JJ A34005 2021 6 side side NN A34005 2021 7 of of IN A34005 2021 8 the the DT A34005 2021 9 Quadrant Quadrant NNP A34005 2021 10 , , , A34005 2021 11 whereof whereof IN A34005 2021 12 one one CD A34005 2021 13 quarter quarter NN A34005 2021 14 is be VBZ A34005 2021 15 only only RB A34005 2021 16 a a DT A34005 2021 17 void void JJ A34005 2021 18 Line line NN A34005 2021 19 , , , A34005 2021 20 is be VBZ A34005 2021 21 derived derive VBN A34005 2021 22 from from IN A34005 2021 23 M. M. NNP A34005 2021 24 Foster Foster NNP A34005 2021 25 's 's POS A34005 2021 26 Treatise Treatise NNP A34005 2021 27 of of IN A34005 2021 28 a a DT A34005 2021 29 Quadrant Quadrant NNP A34005 2021 30 , , , A34005 2021 31 by by IN A34005 2021 32 him -PRON- PRP A34005 2021 33 published publish VBN A34005 2021 34 in in IN A34005 2021 35 An an NN A34005 2021 36 ● ● NNP A34005 2021 37 o o NN A34005 2021 38 1638 1638 CD A34005 2021 39 . . . A34005 2021 40 the the DT A34005 2021 41 foundation foundation NN A34005 2021 42 and and CC A34005 2021 43 use use NN A34005 2021 44 whereof whereof NNP A34005 2021 45 being be VBG A34005 2021 46 concealed conceal VBN A34005 2021 47 , , , A34005 2021 48 I -PRON- PRP A34005 2021 49 shall shall MD A34005 2021 50 therefore therefore RB A34005 2021 51 endeavour endeavour VB A34005 2021 52 to to TO A34005 2021 53 explain explain VB A34005 2021 54 it -PRON- PRP A34005 2021 55 . . . A34005 2022 1 Upon upon IN A34005 2022 2 the the DT A34005 2022 3 Center center NN A34005 2022 4 H h NN A34005 2022 5 describe describe VB A34005 2022 6 a a DT A34005 2022 7 circle circle NN A34005 2022 8 , , , A34005 2022 9 and and CC A34005 2022 10 draw draw VB A34005 2022 11 the the DT A34005 2022 12 Diameter Diameter NNP A34005 2022 13 A A NNP A34005 2022 14 C C NNP A34005 2022 15 , , , A34005 2022 16 passing pass VBG A34005 2022 17 through through IN A34005 2022 18 the the DT A34005 2022 19 Center Center NNP A34005 2022 20 , , , A34005 2022 21 and and CC A34005 2022 22 perpendicularly perpendicularly RB A34005 2022 23 thereto thereto NN A34005 2022 24 , , , A34005 2022 25 upon upon IN A34005 2022 26 the the DT A34005 2022 27 point point NN A34005 2022 28 C c NN A34005 2022 29 , , , A34005 2022 30 erect erect VBP A34005 2022 31 a a DT A34005 2022 32 Line Line NNP A34005 2022 33 of of IN A34005 2022 34 Sines Sines NNP A34005 2022 35 C C NNP A34005 2022 36 I I NNP A34005 2022 37 , , , A34005 2022 38 whose whose WP$ A34005 2022 39 Radius radius NN A34005 2022 40 shall shall MD A34005 2022 41 be be VB A34005 2022 42 equal equal JJ A34005 2022 43 to to IN A34005 2022 44 the the DT A34005 2022 45 Diameter Diameter NNP A34005 2022 46 A A NNP A34005 2022 47 C C NNP A34005 2022 48 , , , A34005 2022 49 let let VB A34005 2022 50 90d 90d NNS A34005 2022 51 of of IN A34005 2022 52 the the DT A34005 2022 53 Sine Sine NNP A34005 2022 54 end end NN A34005 2022 55 at at IN A34005 2022 56 I -PRON- PRP A34005 2022 57 ; ; : A34005 2022 58 I -PRON- PRP A34005 2022 59 say say VBP A34005 2022 60 then then RB A34005 2022 61 , , , A34005 2022 62 if if IN A34005 2022 63 from from IN A34005 2022 64 the the DT A34005 2022 65 point point NN A34005 2022 66 A A NNP A34005 2022 67 , , , A34005 2022 68 through through IN A34005 2022 69 each each DT A34005 2022 70 degree degree NN A34005 2022 71 of of IN A34005 2022 72 that that DT A34005 2022 73 Line Line NNP A34005 2022 74 of of IN A34005 2022 75 Sines Sines NNPS A34005 2022 76 , , , A34005 2022 77 there there EX A34005 2022 78 be be VB A34005 2022 79 streight streight JJ A34005 2022 80 lines line NNS A34005 2022 81 drawn draw VBN A34005 2022 82 , , , A34005 2022 83 intersecting intersect VBG A34005 2022 84 the the DT A34005 2022 85 Quadrant Quadrant NNP A34005 2022 86 of of IN A34005 2022 87 the the DT A34005 2022 88 circle circle NN A34005 2022 89 C c NN A34005 2022 90 G g NN A34005 2022 91 , , , A34005 2022 92 as as IN A34005 2022 93 a a DT A34005 2022 94 line line NN A34005 2022 95 from from IN A34005 2022 96 the the DT A34005 2022 97 point point NN A34005 2022 98 D D NNP A34005 2022 99 doth doth NN A34005 2022 100 intersect intersect VBP A34005 2022 101 it -PRON- PRP A34005 2022 102 at at IN A34005 2022 103 B b NN A34005 2022 104 the the DT A34005 2022 105 Quadrant Quadrant NNP A34005 2022 106 C c NN A34005 2022 107 G g NN A34005 2022 108 , , , A34005 2022 109 which which WDT A34005 2022 110 the the DT A34005 2022 111 Author author NN A34005 2022 112 calls call VBZ A34005 2022 113 the the DT A34005 2022 114 upper upper JJ A34005 2022 115 Quadrant Quadrant NNP A34005 2022 116 , , , A34005 2022 117 or or CC A34005 2022 118 Quadrant Quadrant NNP A34005 2022 119 of of IN A34005 2022 120 Latitudes Latitudes NNPS A34005 2022 121 shall shall MD A34005 2022 122 be be VB A34005 2022 123 constituted constitute VBN A34005 2022 124 , , , A34005 2022 125 and and CC A34005 2022 126 if if IN A34005 2022 127 C c NN A34005 2022 128 I -PRON- PRP A34005 2022 129 be be VB A34005 2022 130 continued continue VBN A34005 2022 131 as as IN A34005 2022 132 a a DT A34005 2022 133 Secant secant NN A34005 2022 134 , , , A34005 2022 135 by by IN A34005 2022 136 the the DT A34005 2022 137 same same JJ A34005 2022 138 reason reason NN A34005 2022 139 the the DT A34005 2022 140 whole whole JJ A34005 2022 141 Semicircle Semicircle NNP A34005 2022 142 C C NNP A34005 2022 143 G g NN A34005 2022 144 A a NN A34005 2022 145 may may MD A34005 2022 146 be be VB A34005 2022 147 occupied occupy VBN A34005 2022 148 ; ; : A34005 2022 149 hence hence RB A34005 2022 150 it -PRON- PRP A34005 2022 151 will will MD A34005 2022 152 be be VB A34005 2022 153 necessary necessary JJ A34005 2022 154 to to TO A34005 2022 155 educe educe VB A34005 2022 156 a a DT A34005 2022 157 ground ground NN A34005 2022 158 of of IN A34005 2022 159 calculation calculation NN A34005 2022 160 for for IN A34005 2022 161 the the DT A34005 2022 162 accurate accurate JJ A34005 2022 163 dividing dividing NN A34005 2022 164 of of IN A34005 2022 165 the the DT A34005 2022 166 said say VBN A34005 2022 167 Quadrant Quadrant NNP A34005 2022 168 , , , A34005 2022 169 and and CC A34005 2022 170 that that DT A34005 2022 171 will will MD A34005 2022 172 be be VB A34005 2022 173 easie easie VBN A34005 2022 174 ; ; : A34005 2022 175 for for IN A34005 2022 176 A a DT A34005 2022 177 C C NNP A34005 2022 178 being be VBG A34005 2022 179 Radius radius NN A34005 2022 180 , , , A34005 2022 181 the the DT A34005 2022 182 Sine Sine NNP A34005 2022 183 C C NNP A34005 2022 184 D D NNP A34005 2022 185 doth doth NN A34005 2022 186 also also RB A34005 2022 187 represent represent VBP A34005 2022 188 the the DT A34005 2022 189 Tangent Tangent NNP A34005 2022 190 of of IN A34005 2022 191 the the DT A34005 2022 192 Angle angle NN A34005 2022 193 at at IN A34005 2022 194 A A NNP A34005 2022 195 , , , A34005 2022 196 therefore therefore RB A34005 2022 197 seek seek VBP A34005 2022 198 the the DT A34005 2022 199 natural natural JJ A34005 2022 200 Sine Sine NNP A34005 2022 201 of of IN A34005 2022 202 the the DT A34005 2022 203 Ark Ark NNP A34005 2022 204 C C NNP A34005 2022 205 D d NN A34005 2022 206 in in IN A34005 2022 207 the the DT A34005 2022 208 Table table NN A34005 2022 209 of of IN A34005 2022 210 Natural Natural NNP A34005 2022 211 Tangents Tangents NNPS A34005 2022 212 , , , A34005 2022 213 and and CC A34005 2022 214 the the DT A34005 2022 215 Ark Ark NNP A34005 2022 216 corresponding correspond VBG A34005 2022 217 thereto thereto NN A34005 2022 218 , , , A34005 2022 219 will will MD A34005 2022 220 give give VB A34005 2022 221 the the DT A34005 2022 222 quantity quantity NN A34005 2022 223 of of IN A34005 2022 224 the the DT A34005 2022 225 Angle Angle NNP A34005 2022 226 D D NNP A34005 2022 227 A A NNP A34005 2022 228 C c NN A34005 2022 229 , , , A34005 2022 230 then then RB A34005 2022 231 because because IN A34005 2022 232 the the DT A34005 2022 233 point point NN A34005 2022 234 A a DT A34005 2022 235 falls fall VBZ A34005 2022 236 in in IN A34005 2022 237 the the DT A34005 2022 238 circumference circumference NN A34005 2022 239 of of IN A34005 2022 240 the the DT A34005 2022 241 Circle Circle NNP A34005 2022 242 , , , A34005 2022 243 where where WRB A34005 2022 244 an an DT A34005 2022 245 Angle Angle NNP A34005 2022 246 is be VBZ A34005 2022 247 but but CC A34005 2022 248 half half NN A34005 2022 249 so so RB A34005 2022 250 much much RB A34005 2022 251 as as IN A34005 2022 252 it -PRON- PRP A34005 2022 253 is be VBZ A34005 2022 254 at at IN A34005 2022 255 the the DT A34005 2022 256 Center Center NNP A34005 2022 257 , , , A34005 2022 258 by by IN A34005 2022 259 31 31 CD A34005 2022 260 Prop Prop NNP A34005 2022 261 . . . A34005 2023 1 3 3 LS A34005 2023 2 . . . A34005 2024 1 Euc euc RB A34005 2024 2 . . . A34005 2025 1 double double PDT A34005 2025 2 the the DT A34005 2025 3 Angle Angle NNP A34005 2025 4 found find VBN A34005 2025 5 , , , A34005 2025 6 and and CC A34005 2025 7 from from IN A34005 2025 8 a a DT A34005 2025 9 Quadrant Quadrant NNP A34005 2025 10 divided divide VBN A34005 2025 11 into into IN A34005 2025 12 90 90 CD A34005 2025 13 equal equal JJ A34005 2025 14 parts part NNS A34005 2025 15 , , , A34005 2025 16 and and CC A34005 2025 17 their -PRON- PRP$ A34005 2025 18 subdivisions subdivision NNS A34005 2025 19 , , , A34005 2025 20 by by IN A34005 2025 21 help help NN A34005 2025 22 of of IN A34005 2025 23 a a DT A34005 2025 24 Table table NN A34005 2025 25 so so RB A34005 2025 26 made make VBN A34005 2025 27 , , , A34005 2025 28 may may MD A34005 2025 29 the the DT A34005 2025 30 Quadrant Quadrant NNP A34005 2025 31 of of IN A34005 2025 32 Latitudes Latitudes NNPS A34005 2025 33 be be VB A34005 2025 34 accurately accurately RB A34005 2025 35 divided divide VBN A34005 2025 36 : : : A34005 2025 37 but but CC A34005 2025 38 the the DT A34005 2025 39 Author author NN A34005 2025 40 made make VBD A34005 2025 41 his -PRON- PRP$ A34005 2025 42 Table table NN A34005 2025 43 in in IN A34005 2025 44 page page NN A34005 2025 45 5 5 CD A34005 2025 46 . . . A34005 2025 47 without without IN A34005 2025 48 doubling double VBG A34005 2025 49 , , , A34005 2025 50 to to TO A34005 2025 51 be be VB A34005 2025 52 graduated graduate VBN A34005 2025 53 from from IN A34005 2025 54 a a DT A34005 2025 55 Quadrant Quadrant NNP A34005 2025 56 divided divide VBN A34005 2025 57 into into IN A34005 2025 58 45 45 CD A34005 2025 59 equal equal JJ A34005 2025 60 parts part NNS A34005 2025 61 . . . A34005 2026 1 Again again RB A34005 2026 2 , , , A34005 2026 3 If if IN A34005 2026 4 upon upon IN A34005 2026 5 the the DT A34005 2026 6 Center Center NNP A34005 2026 7 C C NNP A34005 2026 8 , , , A34005 2026 9 with with IN A34005 2026 10 a a DT A34005 2026 11 pair pair NN A34005 2026 12 of of IN A34005 2026 13 Compasses compass NNS A34005 2026 14 , , , A34005 2026 15 each each DT A34005 2026 16 degree degree NN A34005 2026 17 of of IN A34005 2026 18 the the DT A34005 2026 19 line line NN A34005 2026 20 of of IN A34005 2026 21 Sines Sines NNP A34005 2026 22 be be VB A34005 2026 23 transferred transfer VBN A34005 2026 24 into into IN A34005 2026 25 the the DT A34005 2026 26 Semicircle Semicircle NNP A34005 2026 27 C c NN A34005 2026 28 G g NN A34005 2026 29 A A NNP A34005 2026 30 it -PRON- PRP A34005 2026 31 shall shall MD A34005 2026 32 divide divide VB A34005 2026 33 it -PRON- PRP A34005 2026 34 into into IN A34005 2026 35 90 90 CD A34005 2026 36 equal equal JJ A34005 2026 37 parts part NNS A34005 2026 38 ; ; : A34005 2026 39 the the DT A34005 2026 40 reason reason NN A34005 2026 41 whereof whereof NN A34005 2026 42 is be VBZ A34005 2026 43 plain plain JJ A34005 2026 44 , , , A34005 2026 45 because because IN A34005 2026 46 the the DT A34005 2026 47 Sine Sine NNP A34005 2026 48 of of IN A34005 2026 49 an an DT A34005 2026 50 Arch Arch NNP A34005 2026 51 is be VBZ A34005 2026 52 half half PDT A34005 2026 53 the the DT A34005 2026 54 chord chord NN A34005 2026 55 of of IN A34005 2026 56 twice twice PDT A34005 2026 57 that that DT A34005 2026 58 Arch Arch NNP A34005 2026 59 , , , A34005 2026 60 and and CC A34005 2026 61 therefore therefore RB A34005 2026 62 the the DT A34005 2026 63 Sines Sines NNPS A34005 2026 64 being be VBG A34005 2026 65 made make VBN A34005 2026 66 to to TO A34005 2026 67 twice twice PDT A34005 2026 68 the the DT A34005 2026 69 Radius Radius NNP A34005 2026 70 of of IN A34005 2026 71 this this DT A34005 2026 72 circle circle NN A34005 2026 73 , , , A34005 2026 74 shall shall MD A34005 2026 75 being be VBG A34005 2026 76 transferred transfer VBN A34005 2026 77 into into IN A34005 2026 78 it -PRON- PRP A34005 2026 79 , , , A34005 2026 80 become become VBP A34005 2026 81 chords chord NNS A34005 2026 82 of of IN A34005 2026 83 the the DT A34005 2026 84 like like JJ A34005 2026 85 Arch Arch NNP A34005 2026 86 , , , A34005 2026 87 to to TO A34005 2026 88 divide divide VB A34005 2026 89 a a DT A34005 2026 90 Semicircle Semicircle NNP A34005 2026 91 into into IN A34005 2026 92 90 90 CD A34005 2026 93 equal equal JJ A34005 2026 94 parts part NNS A34005 2026 95 . . . A34005 2027 1 Again again RB A34005 2027 2 , , , A34005 2027 3 upon upon IN A34005 2027 4 the the DT A34005 2027 5 point point NN A34005 2027 6 A a NN A34005 2027 7 , , , A34005 2027 8 erect erect VB A34005 2027 9 a a DT A34005 2027 10 line line NN A34005 2027 11 of of IN A34005 2027 12 Tangents tangent NNS A34005 2027 13 of of IN A34005 2027 14 the the DT A34005 2027 15 same same JJ A34005 2027 16 Radius Radius NNP A34005 2027 17 with with IN A34005 2027 18 the the DT A34005 2027 19 former former JJ A34005 2027 20 Sine Sine NNP A34005 2027 21 , , , A34005 2027 22 which which WDT A34005 2027 23 we -PRON- PRP A34005 2027 24 may may MD A34005 2027 25 suppose suppose VB A34005 2027 26 to to TO A34005 2027 27 be be VB A34005 2027 28 infinitely infinitely RB A34005 2027 29 continued continue VBN A34005 2027 30 , , , A34005 2027 31 here here RB A34005 2027 32 we -PRON- PRP A34005 2027 33 use use VBP A34005 2027 34 a a DT A34005 2027 35 portion portion NN A34005 2027 36 of of IN A34005 2027 37 it -PRON- PRP A34005 2027 38 A a DT A34005 2027 39 E. E. NNP A34005 2027 40 If if IN A34005 2027 41 from from IN A34005 2027 42 the the DT A34005 2027 43 point point NN A34005 2027 44 C C NNP A34005 2027 45 , , , A34005 2027 46 the the DT A34005 2027 47 other other JJ A34005 2027 48 extremity extremity NN A34005 2027 49 of of IN A34005 2027 50 the the DT A34005 2027 51 Diameter Diameter NNP A34005 2027 52 lines line NNS A34005 2027 53 be be VB A34005 2027 54 drawn draw VBN A34005 2027 55 , , , A34005 2027 56 cutting cut VBG A34005 2027 57 the the DT A34005 2027 58 lower low JJR A34005 2027 59 Semicircle Semicircle NNP A34005 2027 60 ( ( -LRB- A34005 2027 61 as as IN A34005 2027 62 a a DT A34005 2027 63 line line NN A34005 2027 64 drawn draw VBN A34005 2027 65 from from IN A34005 2027 66 E e NN A34005 2027 67 intersects intersect VBZ A34005 2027 68 it -PRON- PRP A34005 2027 69 at at IN A34005 2027 70 F F NNP A34005 2027 71 ) ) -RRB- A34005 2027 72 through through IN A34005 2027 73 each each DT A34005 2027 74 degree degree NN A34005 2027 75 of of IN A34005 2027 76 the the DT A34005 2027 77 said say VBN A34005 2027 78 Tangent Tangent NNP A34005 2027 79 , , , A34005 2027 80 the the DT A34005 2027 81 said say VBD A34005 2027 82 lower low JJR A34005 2027 83 Semicircle Semicircle NNP A34005 2027 84 shall shall MD A34005 2027 85 be be VB A34005 2027 86 divided divide VBN A34005 2027 87 into into IN A34005 2027 88 90 90 CD A34005 2027 89 equal equal JJ A34005 2027 90 parts part NNS A34005 2027 91 ; ; : A34005 2027 92 the the DT A34005 2027 93 reason reason NN A34005 2027 94 is be VBZ A34005 2027 95 evident evident JJ A34005 2027 96 a a DT A34005 2027 97 line line NN A34005 2027 98 of of IN A34005 2027 99 Tangents tangent NNS A34005 2027 100 from from IN A34005 2027 101 the the DT A34005 2027 102 Center Center NNP A34005 2027 103 shall shall MD A34005 2027 104 divide divide VB A34005 2027 105 a a DT A34005 2027 106 Quadrant Quadrant NNP A34005 2027 107 into into IN A34005 2027 108 90 90 CD A34005 2027 109 equal equal JJ A34005 2027 110 parts part NNS A34005 2027 111 , , , A34005 2027 112 and and CC A34005 2027 113 because because IN A34005 2027 114 an an DT A34005 2027 115 Angle angle NN A34005 2027 116 in in IN A34005 2027 117 the the DT A34005 2027 118 circumference circumference NN A34005 2027 119 is be VBZ A34005 2027 120 but but CC A34005 2027 121 half half RB A34005 2027 122 so so RB A34005 2027 123 much much RB A34005 2027 124 as as IN A34005 2027 125 it -PRON- PRP A34005 2027 126 is be VBZ A34005 2027 127 in in IN A34005 2027 128 the the DT A34005 2027 129 Center Center NNP A34005 2027 130 , , , A34005 2027 131 being be VBG A34005 2027 132 transferred transfer VBN A34005 2027 133 thither thither NN A34005 2027 134 , , , A34005 2027 135 a a DT A34005 2027 136 whole whole JJ A34005 2027 137 Semicircle Semicircle NNP A34005 2027 138 shall shall MD A34005 2027 139 be be VB A34005 2027 140 filled fill VBN A34005 2027 141 with with IN A34005 2027 142 no no DT A34005 2027 143 more more JJR A34005 2027 144 parts part NNS A34005 2027 145 . . . A34005 2028 1 The the DT A34005 2028 2 chief chief JJ A34005 2028 3 use use NN A34005 2028 4 of of IN A34005 2028 5 this this DT A34005 2028 6 Circle Circle NNP A34005 2028 7 , , , A34005 2028 8 is be VBZ A34005 2028 9 to to TO A34005 2028 10 operate operate VB A34005 2028 11 Proportions Proportions NNP A34005 2028 12 in in IN A34005 2028 13 Tangents Tangents NNP A34005 2028 14 alone alone RB A34005 2028 15 , , , A34005 2028 16 or or CC A34005 2028 17 in in IN A34005 2028 18 Sines Sines NNP A34005 2028 19 and and CC A34005 2028 20 Tangents Tangents NNP A34005 2028 21 joyntly joyntly RB A34005 2028 22 , , , A34005 2028 23 built build VBN A34005 2028 24 upon upon IN A34005 2028 25 this this DT A34005 2028 26 foundation foundation NN A34005 2028 27 , , , A34005 2028 28 that that WDT A34005 2028 29 equiangled equiangle VBD A34005 2028 30 plain plain JJ A34005 2028 31 Triangles triangle NNS A34005 2028 32 have have VBP A34005 2028 33 their -PRON- PRP$ A34005 2028 34 sides side NNS A34005 2028 35 Proportional proportional JJ A34005 2028 36 . . . A34005 2029 1 In in IN A34005 2029 2 streight streight JJ A34005 2029 3 lines line NNS A34005 2029 4 , , , A34005 2029 5 it -PRON- PRP A34005 2029 6 will will MD A34005 2029 7 be be VB A34005 2029 8 evident evident JJ A34005 2029 9 from from IN A34005 2029 10 the the DT A34005 2029 11 point point NN A34005 2029 12 D d NN A34005 2029 13 to to IN A34005 2029 14 E e NN A34005 2029 15 , , , A34005 2029 16 draw draw VB A34005 2029 17 a a DT A34005 2029 18 streight streight JJ A34005 2029 19 line line NN A34005 2029 20 intersecting intersect VBG A34005 2029 21 the the DT A34005 2029 22 Diameter Diameter NNP A34005 2029 23 at at IN A34005 2029 24 L L NNP A34005 2029 25 , , , A34005 2029 26 and and CC A34005 2029 27 then then RB A34005 2029 28 it -PRON- PRP A34005 2029 29 lies lie VBZ A34005 2029 30 as as IN A34005 2029 31 C C NNP A34005 2029 32 L l NN A34005 2029 33 to to IN A34005 2029 34 C c NN A34005 2029 35 D d NN A34005 2029 36 ; ; : A34005 2029 37 so so RB A34005 2029 38 is be VBZ A34005 2029 39 A a DT A34005 2029 40 L l NN A34005 2029 41 to to IN A34005 2029 42 A a NN A34005 2029 43 E e NN A34005 2029 44 : : : A34005 2029 45 it -PRON- PRP A34005 2029 46 is be VBZ A34005 2029 47 also also RB A34005 2029 48 true true JJ A34005 2029 49 in in IN A34005 2029 50 a a DT A34005 2029 51 Circle Circle NNP A34005 2029 52 , , , A34005 2029 53 provided provide VBN A34005 2029 54 it -PRON- PRP A34005 2029 55 be be VB A34005 2029 56 evinced evince VBN A34005 2029 57 , , , A34005 2029 58 that that IN A34005 2029 59 the the DT A34005 2029 60 points point NNS A34005 2029 61 B B NNP A34005 2029 62 L L NNP A34005 2029 63 F F NNP A34005 2029 64 fall fall NN A34005 2029 65 in in IN A34005 2029 66 a a DT A34005 2029 67 streight streight JJ A34005 2029 68 line line NN A34005 2029 69 . . . A34005 2030 1 Hereof Hereof NNP A34005 2030 2 I -PRON- PRP A34005 2030 3 have have VBP A34005 2030 4 a a DT A34005 2030 5 Geometrical Geometrical NNP A34005 2030 6 Demonstration Demonstration NNP A34005 2030 7 , , , A34005 2030 8 which which WDT A34005 2030 9 would would MD A34005 2030 10 require require VB A34005 2030 11 more more JJR A34005 2030 12 Schemes Schemes NNP A34005 2030 13 , , , A34005 2030 14 which which WDT A34005 2030 15 by by IN A34005 2030 16 reason reason NN A34005 2030 17 of of IN A34005 2030 18 its -PRON- PRP$ A34005 2030 19 length length NN A34005 2030 20 and and CC A34005 2030 21 difficulty difficulty NN A34005 2030 22 , , , A34005 2030 23 I -PRON- PRP A34005 2030 24 thought think VBD A34005 2030 25 fit fit NN A34005 2030 26 at at IN A34005 2030 27 present present NN A34005 2030 28 not not RB A34005 2030 29 to to TO A34005 2030 30 insert insert VB A34005 2030 31 , , , A34005 2030 32 possibly possibly RB A34005 2030 33 an an DT A34005 2030 34 easier easy JJR A34005 2030 35 may may MD A34005 2030 36 be be VB A34005 2030 37 found find VBN A34005 2030 38 hereafter hereafter RB A34005 2030 39 : : : A34005 2030 40 As as IN A34005 2030 41 also also RB A34005 2030 42 , , , A34005 2030 43 an an DT A34005 2030 44 Algebraick Algebraick NNP A34005 2030 45 Demonstration Demonstration NNP A34005 2030 46 , , , A34005 2030 47 by by IN A34005 2030 48 the the DT A34005 2030 49 Right Right NNP A34005 2030 50 Honourable Honourable NNP A34005 2030 51 , , , A34005 2030 52 the the DT A34005 2030 53 Lord Lord NNP A34005 2030 54 Brunkard Brunkard NNP A34005 2030 55 , , , A34005 2030 56 whereby whereby WRB A34005 2030 57 after after IN A34005 2030 58 many many JJ A34005 2030 59 Algebraick Algebraick NNP A34005 2030 60 inferences inference NNS A34005 2030 61 it -PRON- PRP A34005 2030 62 is be VBZ A34005 2030 63 euinced euince VBN A34005 2030 64 , , , A34005 2030 65 that that IN A34005 2030 66 as as IN A34005 2030 67 L L NNP A34005 2030 68 K K NNP A34005 2030 69 is be VBZ A34005 2030 70 to to IN A34005 2030 71 K K NNP A34005 2030 72 B B NNP A34005 2030 73 ∷ ∷ NNP A34005 2030 74 so so RB A34005 2030 75 is be VBZ A34005 2030 76 L L NNP A34005 2030 77 N N NNP A34005 2030 78 to to IN A34005 2030 79 ● ● NFP A34005 2030 80 F f NN A34005 2030 81 : : : A34005 2030 82 whence whence NN A34005 2030 83 it -PRON- PRP A34005 2030 84 will will MD A34005 2030 85 follow follow VB A34005 2030 86 , , , A34005 2030 87 that that IN A34005 2030 88 the the DT A34005 2030 89 points point NNS A34005 2030 90 B B NNP A34005 2030 91 , , , A34005 2030 92 L L NNP A34005 2030 93 , , , A34005 2030 94 F F NNP A34005 2030 95 , , , A34005 2030 96 are be VBP A34005 2030 97 in in IN A34005 2030 98 a a DT A34005 2030 99 right right JJ A34005 2030 100 line line NN A34005 2030 101 . . . A34005 2031 1 If if IN A34005 2031 2 a a DT A34005 2031 3 Ruler ruler NN A34005 2031 4 be be VB A34005 2031 5 laid lay VBN A34005 2031 6 from from IN A34005 2031 7 45d 45d NNS A34005 2031 8 of of IN A34005 2031 9 the the DT A34005 2031 10 Semicircle Semicircle NNP A34005 2031 11 , , , A34005 2031 12 to to IN A34005 2031 13 every every DT A34005 2031 14 degree degree NN A34005 2031 15 of of IN A34005 2031 16 the the DT A34005 2031 17 Quadrant Quadrant NNP A34005 2031 18 of of IN A34005 2031 19 Latitudes Latitudes NNP A34005 2031 20 , , , A34005 2031 21 it -PRON- PRP A34005 2031 22 will will MD A34005 2031 23 constitute constitute VB A34005 2031 24 upon upon IN A34005 2031 25 the the DT A34005 2031 26 Diameter Diameter NNP A34005 2031 27 , , , A34005 2031 28 the the DT A34005 2031 29 graduations graduation NNS A34005 2031 30 of of IN A34005 2031 31 the the DT A34005 2031 32 Line Line NNP A34005 2031 33 Sol Sol NNP A34005 2031 34 , , , A34005 2031 35 whereby whereby WRB A34005 2031 36 Proportions Proportions NNP A34005 2031 37 in in IN A34005 2031 38 Sines Sines NNP A34005 2031 39 might may MD A34005 2031 40 be be VB A34005 2031 41 operated operate VBN A34005 2031 42 without without IN A34005 2031 43 the the DT A34005 2031 44 other other JJ A34005 2031 45 supply supply NN A34005 2031 46 . . . A34005 2032 1 From from IN A34005 2032 2 the the DT A34005 2032 3 same same JJ A34005 2032 4 Scheme Scheme NNP A34005 2032 5 also also RB A34005 2032 6 follows follow VBZ A34005 2032 7 the the DT A34005 2032 8 construction construction NN A34005 2032 9 of of IN A34005 2032 10 the the DT A34005 2032 11 streight streight JJ A34005 2032 12 line line NN A34005 2032 13 of of IN A34005 2032 14 Latitudes Latitudes NNP A34005 2032 15 , , , A34005 2032 16 from from IN A34005 2032 17 the the DT A34005 2032 18 point point NN A34005 2032 19 G g NN A34005 2032 20 , , , A34005 2032 21 at at IN A34005 2032 22 90 90 CD A34005 2032 23 ● ● CD A34005 2032 24 of of IN A34005 2032 25 the the DT A34005 2032 26 Quadrant Quadrant NNP A34005 2032 27 of of IN A34005 2032 28 Latitudes Latitudes NNP A34005 2032 29 , , , A34005 2032 30 draw draw VB A34005 2032 31 a a DT A34005 2032 32 streight streight JJ A34005 2032 33 Line Line NNP A34005 2032 34 to to IN A34005 2032 35 C c NN A34005 2032 36 , , , A34005 2032 37 and and CC A34005 2032 38 transfer transfer VB A34005 2032 39 each each DT A34005 2032 40 degree degree NN A34005 2032 41 of of IN A34005 2032 42 the the DT A34005 2032 43 Quadrant Quadrant NNP A34005 2032 44 of of IN A34005 2032 45 Latitudes Latitudes NNPS A34005 2032 46 with with IN A34005 2032 47 Compasses Compasses NNPS A34005 2032 48 , , , A34005 2032 49 one one CD A34005 2032 50 foot foot NN A34005 2032 51 resting rest VBG A34005 2032 52 upon upon IN A34005 2032 53 C C NNP A34005 2032 54 into into IN A34005 2032 55 the the DT A34005 2032 56 said say VBN A34005 2032 57 streight streight JJ A34005 2032 58 line line NN A34005 2032 59 , , , A34005 2032 60 and and CC A34005 2032 61 it -PRON- PRP A34005 2032 62 shall shall MD A34005 2032 63 be be VB A34005 2032 64 constituted constitute VBN A34005 2032 65 . . . A34005 2033 1 To to TO A34005 2033 2 Calculate calculate VB A34005 2033 3 it -PRON- PRP A34005 2033 4 . . . A34005 2034 1 The the DT A34005 2034 2 Line Line NNP A34005 2034 3 of of IN A34005 2034 4 Latitudes Latitudes NNP A34005 2034 5 C C NNP A34005 2034 6 G g NN A34005 2034 7 bears bear VBZ A34005 2034 8 such such JJ A34005 2034 9 Proportion proportion NN A34005 2034 10 to to IN A34005 2034 11 C C NNP A34005 2034 12 A A NNP A34005 2034 13 as as IN A34005 2034 14 the the DT A34005 2034 15 Chord Chord NNP A34005 2034 16 of of IN A34005 2034 17 90d 90d NNPS A34005 2034 18 doth doth NN A34005 2034 19 to to IN A34005 2034 20 the the DT A34005 2034 21 Diameter Diameter NNP A34005 2034 22 , , , A34005 2034 23 which which WDT A34005 2034 24 is be VBZ A34005 2034 25 the the DT A34005 2034 26 same same JJ A34005 2034 27 that that IN A34005 2034 28 the the DT A34005 2034 29 Sine Sine NNP A34005 2034 30 of of IN A34005 2034 31 45d 45d CD A34005 2034 32 bears bear VBZ A34005 2034 33 to to IN A34005 2034 34 the the DT A34005 2034 35 Radius Radius NNP A34005 2034 36 , , , A34005 2034 37 or or CC A34005 2034 38 which which WDT A34005 2034 39 is be VBZ A34005 2034 40 all all DT A34005 2034 41 one one CD A34005 2034 42 , , , A34005 2034 43 that that IN A34005 2034 44 the the DT A34005 2034 45 Radius Radius NNP A34005 2034 46 bears bear VBZ A34005 2034 47 to to IN A34005 2034 48 the the DT A34005 2034 49 Secant Secant NNP A34005 2034 50 of of IN A34005 2034 51 45 45 CD A34005 2034 52 d d NNS A34005 2034 53 , , , A34005 2034 54 which which WDT A34005 2034 55 Secant secant NN A34005 2034 56 is be VBZ A34005 2034 57 equal equal JJ A34005 2034 58 to to IN A34005 2034 59 the the DT A34005 2034 60 Chord Chord NNP A34005 2034 61 of of IN A34005 2034 62 90 90 CD A34005 2034 63 d d NNS A34005 2034 64 ; ; : A34005 2034 65 from from IN A34005 2034 66 the the DT A34005 2034 67 Diagram Diagram NNP A34005 2034 68 the the DT A34005 2034 69 nature nature NN A34005 2034 70 of of IN A34005 2034 71 the the DT A34005 2034 72 Line Line NNP A34005 2034 73 of of IN A34005 2034 74 Latitudes Latitudes NNPS A34005 2034 75 may may MD A34005 2034 76 be be VB A34005 2034 77 discovered discover VBN A34005 2034 78 . . . A34005 2035 1 Any any DT A34005 2035 2 two two CD A34005 2035 3 Lines line NNS A34005 2035 4 being be VBG A34005 2035 5 drawn draw VBN A34005 2035 6 to to TO A34005 2035 7 make make VB A34005 2035 8 a a DT A34005 2035 9 right right JJ A34005 2035 10 angle angle NN A34005 2035 11 , , , A34005 2035 12 if if IN A34005 2035 13 any any DT A34005 2035 14 Ark Ark NNP A34005 2035 15 of of IN A34005 2035 16 the the DT A34005 2035 17 Line Line NNP A34005 2035 18 of of IN A34005 2035 19 Latitudes Latitudes NNP A34005 2035 20 be be VB A34005 2035 21 pricked prick VBN A34005 2035 22 off off RP A34005 2035 23 in in IN A34005 2035 24 one one CD A34005 2035 25 of of IN A34005 2035 26 those those DT A34005 2035 27 Lines line NNS A34005 2035 28 retaining retain VBG A34005 2035 29 a a DT A34005 2035 30 constant constant JJ A34005 2035 31 Hipotenusal Hipotenusal NNP A34005 2035 32 A A NNP A34005 2035 33 C C NNP A34005 2035 34 , , , A34005 2035 35 called call VBN A34005 2035 36 the the DT A34005 2035 37 Line Line NNP A34005 2035 38 of of IN A34005 2035 39 Hours hour NNS A34005 2035 40 , , , A34005 2035 41 equal equal JJ A34005 2035 42 to to IN A34005 2035 43 the the DT A34005 2035 44 Diameter Diameter NNP A34005 2035 45 of of IN A34005 2035 46 that that DT A34005 2035 47 Circle Circle NNP A34005 2035 48 from from IN A34005 2035 49 whence whence NN A34005 2035 50 the the DT A34005 2035 51 Line Line NNP A34005 2035 52 of of IN A34005 2035 53 Latitudes Latitudes NNP A34005 2035 54 is be VBZ A34005 2035 55 constituted constituted JJ A34005 2035 56 , , , A34005 2035 57 if if IN A34005 2035 58 the the DT A34005 2035 59 said say VBD A34005 2035 60 Hipotenusal Hipotenusal NNP A34005 2035 61 from from IN A34005 2035 62 the the DT A34005 2035 63 Point Point NNP A34005 2035 64 formerly formerly RB A34005 2035 65 pricked prick VBD A34005 2035 66 off off RP A34005 2035 67 , , , A34005 2035 68 be be VB A34005 2035 69 made make VBN A34005 2035 70 the the DT A34005 2035 71 Hipotenusal Hipotenusal NNP A34005 2035 72 to to IN A34005 2035 73 the the DT A34005 2035 74 Legs leg NNS A34005 2035 75 of of IN A34005 2035 76 the the DT A34005 2035 77 right right JJ A34005 2035 78 angle angle NN A34005 2035 79 formerly formerly RB A34005 2035 80 pricked prick VBD A34005 2035 81 off off RP A34005 2035 82 , , , A34005 2035 83 the the DT A34005 2035 84 said say VBD A34005 2035 85 Legs leg NNS A34005 2035 86 or or CC A34005 2035 87 sides side NNS A34005 2035 88 including include VBG A34005 2035 89 the the DT A34005 2035 90 right right JJ A34005 2035 91 angle angle NN A34005 2035 92 shall shall MD A34005 2035 93 bear bear VB A34005 2035 94 such such JJ A34005 2035 95 Proportion Proportion NNP A34005 2035 96 one one CD A34005 2035 97 to to IN A34005 2035 98 another another DT A34005 2035 99 , , , A34005 2035 100 as as IN A34005 2035 101 the the DT A34005 2035 102 Radius Radius NNP A34005 2035 103 doth doth NN A34005 2035 104 to to IN A34005 2035 105 the the DT A34005 2035 106 sine sine NN A34005 2035 107 of of IN A34005 2035 108 the the DT A34005 2035 109 Ark Ark NNP A34005 2035 110 so so RB A34005 2035 111 prickt prickt VBZ A34005 2035 112 off off RP A34005 2035 113 ; ; : A34005 2035 114 and and CC A34005 2035 115 this this DT A34005 2035 116 is be VBZ A34005 2035 117 evident evident JJ A34005 2035 118 from from IN A34005 2035 119 the the DT A34005 2035 120 Schem Schem NNP A34005 2035 121 , , , A34005 2035 122 for for IN A34005 2035 123 such such JJ A34005 2035 124 Proportion proportion NN A34005 2035 125 as as IN A34005 2035 126 A a DT A34005 2035 127 C C NNP A34005 2035 128 bears bear VBZ A34005 2035 129 to to IN A34005 2035 130 C c NN A34005 2035 131 D d NN A34005 2035 132 , , , A34005 2035 133 doth doth NN A34005 2035 134 A a DT A34005 2035 135 B b NN A34005 2035 136 bear bear NN A34005 2035 137 to to IN A34005 2035 138 B B NNP A34005 2035 139 C C NNP A34005 2035 140 , , , A34005 2035 141 for for IN A34005 2035 142 the the DT A34005 2035 143 angle angle NN A34005 2035 144 at at IN A34005 2035 145 A a NN A34005 2035 146 is be VBZ A34005 2035 147 Common common JJ A34005 2035 148 to to IN A34005 2035 149 both both DT A34005 2035 150 Triangles Triangles NNPS A34005 2035 151 , , , A34005 2035 152 and and CC A34005 2035 153 the the DT A34005 2035 154 angle angle NN A34005 2035 155 at at IN A34005 2035 156 B b NN A34005 2035 157 in in IN A34005 2035 158 the the DT A34005 2035 159 circumference circumference NN A34005 2035 160 is be VBZ A34005 2035 161 a a DT A34005 2035 162 right right JJ A34005 2035 163 angle angle NN A34005 2035 164 , , , A34005 2035 165 and and CC A34005 2035 166 consequently consequently RB A34005 2035 167 the the DT A34005 2035 168 angle angle NN A34005 2035 169 A a NN A34005 2035 170 C c NN A34005 2035 171 B b NN A34005 2035 172 will will MD A34005 2035 173 be be VB A34005 2035 174 equal equal JJ A34005 2035 175 to to IN A34005 2035 176 the the DT A34005 2035 177 angle angle NN A34005 2035 178 A a NN A34005 2035 179 D d NN A34005 2035 180 C c NN A34005 2035 181 , , , A34005 2035 182 and and CC A34005 2035 183 the the DT A34005 2035 184 Legs Legs NNP A34005 2035 185 A A NNP A34005 2035 186 C c NN A34005 2035 187 to to IN A34005 2035 188 C c NN A34005 2035 189 D d NN A34005 2035 190 bears bear NNS A34005 2035 191 such such JJ A34005 2035 192 Proportion proportion NN A34005 2035 193 by by IN A34005 2035 194 construction construction NN A34005 2035 195 , , , A34005 2035 196 as as IN A34005 2035 197 the the DT A34005 2035 198 Radius Radius NNP A34005 2035 199 doth doth NN A34005 2035 200 to to IN A34005 2035 201 the the DT A34005 2035 202 Sine Sine NNP A34005 2035 203 of of IN A34005 2035 204 an an DT A34005 2035 205 Ark Ark NNP A34005 2035 206 , , , A34005 2035 207 and and CC A34005 2035 208 the the DT A34005 2035 209 same same JJ A34005 2035 210 Proportion proportion NN A34005 2035 211 doth doth NN A34005 2035 212 A a DT A34005 2035 213 B b NN A34005 2035 214 bear bear NN A34005 2035 215 to to IN A34005 2035 216 B B NNP A34005 2035 217 C C NNP A34005 2035 218 , , , A34005 2035 219 in in IN A34005 2035 220 all all DT A34005 2035 221 cases case NNS A34005 2035 222 retaining retain VBG A34005 2035 223 one one CD A34005 2035 224 and and CC A34005 2035 225 the the DT A34005 2035 226 same same JJ A34005 2035 227 Hypotenusal Hypotenusal NNP A34005 2035 228 A A NNP A34005 2035 229 C C NNP A34005 2035 230 , , , A34005 2035 231 the the DT A34005 2035 232 Proportion proportion NN A34005 2035 233 therefore therefore RB A34005 2035 234 lies lie VBZ A34005 2035 235 evident evident JJ A34005 2035 236 . . . A34005 2036 1 As as IN A34005 2036 2 the the DT A34005 2036 3 Radius Radius NNP A34005 2036 4 , , , A34005 2036 5 the the DT A34005 2036 6 sine sine NN A34005 2036 7 of of IN A34005 2036 8 the the DT A34005 2036 9 angle angle NN A34005 2036 10 at at IN A34005 2036 11 B b NN A34005 2036 12 , , , A34005 2036 13 To to IN A34005 2036 14 its -PRON- PRP$ A34005 2036 15 opposite opposite JJ A34005 2036 16 side side NN A34005 2036 17 A a NN A34005 2036 18 C c NN A34005 2036 19 , , , A34005 2036 20 the the DT A34005 2036 21 Secant secant NN A34005 2036 22 of of IN A34005 2036 23 45d 45d CD A34005 2036 24 : : : A34005 2036 25 So so RB A34005 2036 26 is be VBZ A34005 2036 27 the the DT A34005 2036 28 sine sine NN A34005 2036 29 of of IN A34005 2036 30 the the DT A34005 2036 31 angle angle NN A34005 2036 32 at at IN A34005 2036 33 A a NN A34005 2036 34 , , , A34005 2036 35 To to IN A34005 2036 36 its -PRON- PRP$ A34005 2036 37 opposite opposite JJ A34005 2036 38 side side NN A34005 2036 39 B B NNP A34005 2036 40 C C NNP A34005 2036 41 sought seek VBN A34005 2036 42 . . . A34005 2037 1 Now now RB A34005 2037 2 the the DT A34005 2037 3 quantity quantity NN A34005 2037 4 of of IN A34005 2037 5 the the DT A34005 2037 6 angle angle NN A34005 2037 7 at at IN A34005 2037 8 A a DT A34005 2037 9 was be VBD A34005 2037 10 found find VBN A34005 2037 11 by by IN A34005 2037 12 seeking seek VBG A34005 2037 13 the the DT A34005 2037 14 natural natural JJ A34005 2037 15 Sine Sine NNP A34005 2037 16 of of IN A34005 2037 17 the the DT A34005 2037 18 Ark Ark NNP A34005 2037 19 proposed propose VBD A34005 2037 20 in in IN A34005 2037 21 the the DT A34005 2037 22 Table table NN A34005 2037 23 of of IN A34005 2037 24 natural natural JJ A34005 2037 25 Tangents tangent NNS A34005 2037 26 ; ; : A34005 2037 27 and and CC A34005 2037 28 having have VBG A34005 2037 29 found find VBN A34005 2037 30 what what WP A34005 2037 31 Ark Ark NNP A34005 2037 32 answers answer NNS A34005 2037 33 thereto thereto VBP A34005 2037 34 , , , A34005 2037 35 the the DT A34005 2037 36 Sine Sine NNP A34005 2037 37 of of IN A34005 2037 38 the the DT A34005 2037 39 said say VBN A34005 2037 40 Ark Ark NNP A34005 2037 41 is be VBZ A34005 2037 42 to to TO A34005 2037 43 become become VB A34005 2037 44 the the DT A34005 2037 45 third third JJ A34005 2037 46 Tearm Tearm NNP A34005 2037 47 in in IN A34005 2037 48 the the DT A34005 2037 49 Proportion Proportion NNP A34005 2037 50 . . . A34005 2038 1 But but CC A34005 2038 2 the the DT A34005 2038 3 Cannon Cannon NNP A34005 2038 4 prescribed prescribe VBD A34005 2038 5 in in IN A34005 2038 6 the the DT A34005 2038 7 Description description NN A34005 2038 8 of of IN A34005 2038 9 the the DT A34005 2038 10 small small JJ A34005 2038 11 Quadrant Quadrant NNP A34005 2038 12 is be VBZ A34005 2038 13 more more RBR A34005 2038 14 expedite expedite NN A34005 2038 15 then then RB A34005 2038 16 this this DT A34005 2038 17 , , , A34005 2038 18 which which WDT A34005 2038 19 Mr Mr NNP A34005 2038 20 Sutton Sutton NNP A34005 2038 21 had have VBD A34005 2038 22 from from IN A34005 2038 23 Mr Mr NNP A34005 2038 24 Dary Dary NNP A34005 2038 25 long long RB A34005 2038 26 since since RB A34005 2038 27 , , , A34005 2038 28 for for IN A34005 2038 29 whom whom WP A34005 2038 30 , , , A34005 2038 31 and and CC A34005 2038 32 by by IN A34005 2038 33 whose whose WP$ A34005 2038 34 directions direction NNS A34005 2038 35 he -PRON- PRP A34005 2038 36 made make VBD A34005 2038 37 a a DT A34005 2038 38 Quadrant Quadrant NNP A34005 2038 39 with with IN A34005 2038 40 the the DT A34005 2038 41 Line Line NNP A34005 2038 42 Sol Sol NNP A34005 2038 43 , , , A34005 2038 44 and and CC A34005 2038 45 two two CD A34005 2038 46 Parrallel Parrallel NNP A34005 2038 47 Lines line NNS A34005 2038 48 of of IN A34005 2038 49 Sines Sines NNPS A34005 2038 50 upon upon IN A34005 2038 51 it -PRON- PRP A34005 2038 52 , , , A34005 2038 53 as as IN A34005 2038 54 is be VBZ A34005 2038 55 here here RB A34005 2038 56 added add VBN A34005 2038 57 to to IN A34005 2038 58 the the DT A34005 2038 59 backside backside NN A34005 2038 60 of of IN A34005 2038 61 this this DT A34005 2038 62 Quadrant Quadrant NNP A34005 2038 63 . . . A34005 2039 1 Of of IN A34005 2039 2 the the DT A34005 2039 3 Line Line NNP A34005 2039 4 of of IN A34005 2039 5 Hours Hours NNPS A34005 2039 6 , , , A34005 2039 7 alias alia NNS A34005 2039 8 , , , A34005 2039 9 the the DT A34005 2039 10 Diameter Diameter NNP A34005 2039 11 or or CC A34005 2039 12 Proportional Proportional NNP A34005 2039 13 Tangent Tangent NNP A34005 2039 14 . . . A34005 2040 1 This this DT A34005 2040 2 Scale scale NN A34005 2040 3 is be VBZ A34005 2040 4 no no DT A34005 2040 5 other other JJ A34005 2040 6 then then RB A34005 2040 7 two two CD A34005 2040 8 Lines line NNS A34005 2040 9 of of IN A34005 2040 10 natural natural JJ A34005 2040 11 Tangents tangent NNS A34005 2040 12 to to IN A34005 2040 13 45 45 CD A34005 2040 14 d d NNS A34005 2040 15 , , , A34005 2040 16 each each DT A34005 2040 17 set set VBN A34005 2040 18 together together RB A34005 2040 19 at at IN A34005 2040 20 the the DT A34005 2040 21 Center Center NNP A34005 2040 22 , , , A34005 2040 23 and and CC A34005 2040 24 from from IN A34005 2040 25 thence thence NN A34005 2040 26 beginning begin VBG A34005 2040 27 and and CC A34005 2040 28 continued continue VBD A34005 2040 29 to to IN A34005 2040 30 each each DT A34005 2040 31 end end NN A34005 2040 32 of of IN A34005 2040 33 the the DT A34005 2040 34 Diameter Diameter NNP A34005 2040 35 , , , A34005 2040 36 and and CC A34005 2040 37 from from IN A34005 2040 38 one one CD A34005 2040 39 end end NN A34005 2040 40 thereof thereof RB A34005 2040 41 numbred numbre VBN A34005 2040 42 with with IN A34005 2040 43 90 90 CD A34005 2040 44 d d NNS A34005 2040 45 to to IN A34005 2040 46 the the DT A34005 2040 47 other other JJ A34005 2040 48 end end NN A34005 2040 49 . . . A34005 2041 1 This this DT A34005 2041 2 Line line NN A34005 2041 3 may may MD A34005 2041 4 fitly fitly RB A34005 2041 5 be be VB A34005 2041 6 called call VBN A34005 2041 7 a a DT A34005 2041 8 Proportional Proportional NNP A34005 2041 9 Tangent Tangent NNP A34005 2041 10 , , , A34005 2041 11 for for IN A34005 2041 12 whersoever whersoever VBG A34005 2041 13 any any DT A34005 2041 14 Ark Ark NNP A34005 2041 15 is be VBZ A34005 2041 16 assumed assume VBN A34005 2041 17 in in IN A34005 2041 18 it -PRON- PRP A34005 2041 19 to to TO A34005 2041 20 be be VB A34005 2041 21 a a DT A34005 2041 22 Tangent Tangent NNP A34005 2041 23 , , , A34005 2041 24 the the DT A34005 2041 25 remaining remain VBG A34005 2041 26 part part NN A34005 2041 27 of of IN A34005 2041 28 the the DT A34005 2041 29 Diameter Diameter NNP A34005 2041 30 is be VBZ A34005 2041 31 the the DT A34005 2041 32 Radius Radius NNP A34005 2041 33 to to IN A34005 2041 34 the the DT A34005 2041 35 said say VBN A34005 2041 36 Tangent Tangent NNP A34005 2041 37 . . . A34005 2042 1 So so RB A34005 2042 2 in in IN A34005 2042 3 the the DT A34005 2042 4 former former JJ A34005 2042 5 Schem Schem NNP A34005 2042 6 , , , A34005 2042 7 if if IN A34005 2042 8 C c NN A34005 2042 9 L l NN A34005 2042 10 be be VBP A34005 2042 11 the the DT A34005 2042 12 Tangent Tangent NNP A34005 2042 13 of of IN A34005 2042 14 any any DT A34005 2042 15 Ark Ark NNP A34005 2042 16 , , , A34005 2042 17 the the DT A34005 2042 18 Radius Radius NNP A34005 2042 19 thereto thereto NN A34005 2042 20 shall shall MD A34005 2042 21 be be VB A34005 2042 22 A a DT A34005 2042 23 L. L. NNP A34005 2042 24 In in IN A34005 2042 25 the the DT A34005 2042 26 Schem Schem NNP A34005 2042 27 annexed annexed NN A34005 2042 28 , , , A34005 2042 29 let let VB A34005 2042 30 A a DT A34005 2042 31 B b NN A34005 2042 32 be be VB A34005 2042 33 the the DT A34005 2042 34 Radius Radius NNP A34005 2042 35 of of IN A34005 2042 36 a a DT A34005 2042 37 Line Line NNP A34005 2042 38 of of IN A34005 2042 39 Tangents tangent NNS A34005 2042 40 equal equal JJ A34005 2042 41 to to IN A34005 2042 42 C c NN A34005 2042 43 D d NN A34005 2042 44 , , , A34005 2042 45 and and CC A34005 2042 46 also also RB A34005 2042 47 parralel parralel VB A34005 2042 48 thereto thereto NN A34005 2042 49 , , , A34005 2042 50 and and CC A34005 2042 51 from from IN A34005 2042 52 the the DT A34005 2042 53 Point Point NNP A34005 2042 54 B B NNP A34005 2042 55 to to IN A34005 2042 56 C c NN A34005 2042 57 draw draw VB A34005 2042 58 the the DT A34005 2042 59 Line Line NNP A34005 2042 60 B B NNP A34005 2042 61 C C NNP A34005 2042 62 , , , A34005 2042 63 and and CC A34005 2042 64 let let VB A34005 2042 65 it -PRON- PRP A34005 2042 66 be be VB A34005 2042 67 required require VBN A34005 2042 68 to to TO A34005 2042 69 divide divide VB A34005 2042 70 the the DT A34005 2042 71 same same JJ A34005 2042 72 into into IN A34005 2042 73 a a DT A34005 2042 74 Line Line NNP A34005 2042 75 of of IN A34005 2042 76 Proportional proportional JJ A34005 2042 77 Tangents Tangents NNPS A34005 2042 78 : : : A34005 2042 79 I -PRON- PRP A34005 2042 80 say say VBP A34005 2042 81 , , , A34005 2042 82 Lines line NNS A34005 2042 83 drawn draw VBN A34005 2042 84 from from IN A34005 2042 85 the the DT A34005 2042 86 Point Point NNP A34005 2042 87 D D NNP A34005 2042 88 to to IN A34005 2042 89 every every DT A34005 2042 90 degree degree NN A34005 2042 91 of of IN A34005 2042 92 the the DT A34005 2042 93 Tangent Tangent NNP A34005 2042 94 , , , A34005 2042 95 A a DT A34005 2042 96 B b NN A34005 2042 97 shall shall MD A34005 2042 98 divide divide VB A34005 2042 99 one one CD A34005 2042 100 half half NN A34005 2042 101 of of IN A34005 2042 102 it -PRON- PRP A34005 2042 103 as as IN A34005 2042 104 required require VBN A34005 2042 105 from from IN A34005 2042 106 the the DT A34005 2042 107 similitude similitude NN A34005 2042 108 of of IN A34005 2042 109 two two CD A34005 2042 110 right right JJ A34005 2042 111 angled angle VBN A34005 2042 112 equiangled equiangle VBD A34005 2042 113 plain plain JJ A34005 2042 114 Triangles Triangles NNPS A34005 2042 115 , , , A34005 2042 116 which which WDT A34005 2042 117 will will MD A34005 2042 118 have have VB A34005 2042 119 their -PRON- PRP$ A34005 2042 120 sides side NNS A34005 2042 121 Proportional Proportional NNP A34005 2042 122 , , , A34005 2042 123 it -PRON- PRP A34005 2042 124 will will MD A34005 2042 125 therefore therefore RB A34005 2042 126 hold hold VB A34005 2042 127 , , , A34005 2042 128 As as IN A34005 2042 129 C C NNP A34005 2042 130 F F NNP A34005 2042 131 , , , A34005 2042 132 To to IN A34005 2042 133 C c NN A34005 2042 134 D d NN A34005 2042 135 : : : A34005 2042 136 So so RB A34005 2042 137 F F NNP A34005 2042 138 B B NNP A34005 2042 139 , , , A34005 2042 140 To to IN A34005 2042 141 B B NNP A34005 2042 142 E E NNP A34005 2042 143 , , , A34005 2042 144 and and CC A34005 2042 145 the the DT A34005 2042 146 Converse Converse NNP A34005 2042 147 , , , A34005 2042 148 As as IN A34005 2042 149 the the DT A34005 2042 150 second second JJ A34005 2042 151 Tearm Tearm NNP A34005 2042 152 C C NNP A34005 2042 153 D d NN A34005 2042 154 , , , A34005 2042 155 To to IN A34005 2042 156 the the DT A34005 2042 157 fourth fourth JJ A34005 2042 158 B b NN A34005 2042 159 E e NN A34005 2042 160 : : : A34005 2042 161 So so RB A34005 2042 162 is be VBZ A34005 2042 163 the the DT A34005 2042 164 first first JJ A34005 2042 165 C C NNP A34005 2042 166 F F NNP A34005 2042 167 , , , A34005 2042 168 To to IN A34005 2042 169 the the DT A34005 2042 170 third third JJ A34005 2042 171 F F NNP A34005 2042 172 B B NNP A34005 2042 173 , , , A34005 2042 174 and and CC A34005 2042 175 therefore therefore RB A34005 2042 176 C C NNP A34005 2042 177 F F NNP A34005 2042 178 bears bear VBZ A34005 2042 179 such such JJ A34005 2042 180 Proportion proportion NN A34005 2042 181 to to IN A34005 2042 182 F F NNP A34005 2042 183 B B NNP A34005 2042 184 , , , A34005 2042 185 as as IN A34005 2042 186 C c NN A34005 2042 187 D d NN A34005 2042 188 doth doth NN A34005 2042 189 to to IN A34005 2042 190 B b NN A34005 2042 191 E E NNP A34005 2042 192 , , , A34005 2042 193 which which WDT A34005 2042 194 is be VBZ A34005 2042 195 the the DT A34005 2042 196 same same JJ A34005 2042 197 that that IN A34005 2042 198 the the DT A34005 2042 199 Radius Radius NNP A34005 2042 200 bears bear VBZ A34005 2042 201 to to IN A34005 2042 202 the the DT A34005 2042 203 Tangent Tangent NNP A34005 2042 204 of of IN A34005 2042 205 the the DT A34005 2042 206 Ark Ark NNP A34005 2042 207 proposed propose VBD A34005 2042 208 . . . A34005 2043 1 If if IN A34005 2043 2 it -PRON- PRP A34005 2043 3 be be VB A34005 2043 4 doubted doubt VBN A34005 2043 5 whether whether IN A34005 2043 6 the the DT A34005 2043 7 Diameter Diameter NNP A34005 2043 8 wil wil NN A34005 2043 9 be be VB A34005 2043 10 a a DT A34005 2043 11 double double JJ A34005 2043 12 Tangent tangent NN A34005 2043 13 or or CC A34005 2043 14 the the DT A34005 2043 15 Line Line NNP A34005 2043 16 here here RB A34005 2043 17 described describe VBD A34005 2043 18 such such PDT A34005 2043 19 a a DT A34005 2043 20 Line Line NNP A34005 2043 21 , , , A34005 2043 22 a a DT A34005 2043 23 Proportion proportion NN A34005 2043 24 shall shall MD A34005 2043 25 be be VB A34005 2043 26 given give VBN A34005 2043 27 to to TO A34005 2043 28 find find VB A34005 2043 29 by by IN A34005 2043 30 Experience Experience NNP A34005 2043 31 or or CC A34005 2043 32 Calculation Calculation NNP A34005 2043 33 , , , A34005 2043 34 what what WP A34005 2043 35 Line line NN A34005 2043 36 it -PRON- PRP A34005 2043 37 will will MD A34005 2043 38 be be VB A34005 2043 39 ; ; : A34005 2043 40 for for IN A34005 2043 41 there there EX A34005 2043 42 is be VBZ A34005 2043 43 given give VBN A34005 2043 44 the the DT A34005 2043 45 Radius Radius NNP A34005 2043 46 C C NNP A34005 2043 47 D D NNP A34005 2043 48 , , , A34005 2043 49 and and CC A34005 2043 50 the the DT A34005 2043 51 Tangent Tangent NNP A34005 2043 52 B B NNP A34005 2043 53 E E NNP A34005 2043 54 , , , A34005 2043 55 the the DT A34005 2043 56 two two CD A34005 2043 57 first first JJ A34005 2043 58 Tearms tearm NNS A34005 2043 59 of of IN A34005 2043 60 the the DT A34005 2043 61 Proportion proportion NN A34005 2043 62 , , , A34005 2043 63 with with IN A34005 2043 64 the the DT A34005 2043 65 Line Line NNP A34005 2043 66 C c NN A34005 2043 67 B b NN A34005 2043 68 the the DT A34005 2043 69 sum sum NN A34005 2043 70 of of IN A34005 2043 71 the the DT A34005 2043 72 third third JJ A34005 2043 73 and and CC A34005 2043 74 fourth fourth JJ A34005 2043 75 Tearms tearm NNS A34005 2043 76 , , , A34005 2043 77 to to TO A34005 2043 78 find find VB A34005 2043 79 out out RP A34005 2043 80 the the DT A34005 2043 81 said say VBN A34005 2043 82 Tearms Tearms NNP A34005 2043 83 respectively respectively RB A34005 2043 84 ; ; : A34005 2043 85 and and CC A34005 2043 86 it -PRON- PRP A34005 2043 87 will will MD A34005 2043 88 hold hold VB A34005 2043 89 by by IN A34005 2043 90 compounding compound VBG A34005 2043 91 the the DT A34005 2043 92 Proportion Proportion NNP A34005 2043 93 , , , A34005 2043 94 As as IN A34005 2043 95 the the DT A34005 2043 96 sum sum NN A34005 2043 97 of of IN A34005 2043 98 the the DT A34005 2043 99 first first JJ A34005 2043 100 and and CC A34005 2043 101 second second JJ A34005 2043 102 Tearm Tearm NNP A34005 2043 103 , , , A34005 2043 104 Is be VBZ A34005 2043 105 to to IN A34005 2043 106 the the DT A34005 2043 107 second second JJ A34005 2043 108 Tearm Tearm NNP A34005 2043 109 : : : A34005 2043 110 So so RB A34005 2043 111 is be VBZ A34005 2043 112 the the DT A34005 2043 113 sum sum NN A34005 2043 114 of of IN A34005 2043 115 the the DT A34005 2043 116 third third JJ A34005 2043 117 and and CC A34005 2043 118 fourth fourth JJ A34005 2043 119 Tearm Tearm NNP A34005 2043 120 , , , A34005 2043 121 To to IN A34005 2043 122 the the DT A34005 2043 123 fourth fourth JJ A34005 2043 124 Tearm Tearm NNP A34005 2043 125 , , , A34005 2043 126 that that RB A34005 2043 127 is is RB A34005 2043 128 , , , A34005 2043 129 As as IN A34005 2043 130 C c NN A34005 2043 131 D d NN A34005 2043 132 + + SYM A34005 2043 133 B b NN A34005 2043 134 E e NN A34005 2043 135 , , , A34005 2043 136 Is be VBZ A34005 2043 137 to to TO A34005 2043 138 B b NN A34005 2043 139 E e NN A34005 2043 140 : : : A34005 2043 141 So so RB A34005 2043 142 is be VBZ A34005 2043 143 C C NNP A34005 2043 144 F F NNP A34005 2043 145 + + CC A34005 2043 146 F F NNP A34005 2043 147 B B NNP A34005 2043 148 = = SYM A34005 2043 149 C C NNP A34005 2043 150 B b NN A34005 2043 151 , , , A34005 2043 152 To to IN A34005 2043 153 F F NNP A34005 2043 154 B B NNP A34005 2043 155 , , , A34005 2043 156 see see VB A34005 2043 157 18 18 CD A34005 2043 158 Prop Prop NNP A34005 2043 159 . . . A34005 2044 1 of of IN A34005 2044 2 5 5 CD A34005 2044 3 of of IN A34005 2044 4 Euclid Euclid NNP A34005 2044 5 , , , A34005 2044 6 or or CC A34005 2044 7 page page NN A34005 2044 8 18 18 CD A34005 2044 9 of of IN A34005 2044 10 the the DT A34005 2044 11 English English NNP A34005 2044 12 Clavis Clavis NNP A34005 2044 13 Mathematicae Mathematicae NNP A34005 2044 14 , , , A34005 2044 15 of of IN A34005 2044 16 the the DT A34005 2044 17 famous famous JJ A34005 2044 18 and and CC A34005 2044 19 learned learn VBD A34005 2044 20 Mr Mr NNP A34005 2044 21 Oughtred Oughtred NNP A34005 2044 22 . . . A34005 2045 1 After after IN A34005 2045 2 the the DT A34005 2045 3 same same JJ A34005 2045 4 manner manner NN A34005 2045 5 is be VBZ A34005 2045 6 the the DT A34005 2045 7 Line Line NNP A34005 2045 8 Sol Sol NNP A34005 2045 9 , , , A34005 2045 10 or or CC A34005 2045 11 Proportional Proportional NNP A34005 2045 12 Sines Sines NNPS A34005 2045 13 made make VBD A34005 2045 14 , , , A34005 2045 15 that that IN A34005 2045 16 being be VBG A34005 2045 17 also also RB A34005 2045 18 such such PDT A34005 2045 19 a a DT A34005 2045 20 Line Line NNP A34005 2045 21 , , , A34005 2045 22 that that IN A34005 2045 23 any any DT A34005 2045 24 Ark Ark NNP A34005 2045 25 being be VBG A34005 2045 26 assumed assume VBN A34005 2045 27 in in IN A34005 2045 28 it -PRON- PRP A34005 2045 29 to to TO A34005 2045 30 be be VB A34005 2045 31 a a DT A34005 2045 32 Sine Sine NNP A34005 2045 33 , , , A34005 2045 34 the the DT A34005 2045 35 distance distance NN A34005 2045 36 from from IN A34005 2045 37 that that DT A34005 2045 38 Ark Ark NNP A34005 2045 39 to to IN A34005 2045 40 the the DT A34005 2045 41 other other JJ A34005 2045 42 end end NN A34005 2045 43 of of IN A34005 2045 44 the the DT A34005 2045 45 Diameter Diameter NNP A34005 2045 46 , , , A34005 2045 47 shall shall MD A34005 2045 48 be be VB A34005 2045 49 the the DT A34005 2045 50 Radius Radius NNP A34005 2045 51 thereto thereto NN A34005 2045 52 . . . A34005 2046 1 A a DT A34005 2046 2 Demonstration Demonstration NNP A34005 2046 3 to to TO A34005 2046 4 prove prove VB A34005 2046 5 that that IN A34005 2046 6 the the DT A34005 2046 7 Line Line NNP A34005 2046 8 of of IN A34005 2046 9 Hours Hours NNPS A34005 2046 10 and and CC A34005 2046 11 Latitudes Latitudes NNP A34005 2046 12 will will MD A34005 2046 13 jointly jointly RB A34005 2046 14 prick prick VB A34005 2046 15 off off RP A34005 2046 16 the the DT A34005 2046 17 hour hour NN A34005 2046 18 Di Di NNP A34005 2046 19 ● ● NNP A34005 2046 20 tances tance NNS A34005 2046 21 in in IN A34005 2046 22 the the DT A34005 2046 23 same same JJ A34005 2046 24 angles angle NNS A34005 2046 25 as as IN A34005 2046 26 if if IN A34005 2046 27 they -PRON- PRP A34005 2046 28 were be VBD A34005 2046 29 Calculated calculate VBN A34005 2046 30 and and CC A34005 2046 31 prickt prickt NNS A34005 2046 32 off off RP A34005 2046 33 by by IN A34005 2046 34 Chords Chords NNPS A34005 2046 35 . . . A34005 2047 1 Draw draw VB A34005 2047 2 the the DT A34005 2047 3 two two CD A34005 2047 4 Lines line NNS A34005 2047 5 A A NNP A34005 2047 6 B B NNP A34005 2047 7 and and CC A34005 2047 8 C C NNP A34005 2047 9 B B NNP A34005 2047 10 crossing cross VBG A34005 2047 11 one one NN A34005 2047 12 another another DT A34005 2047 13 at at IN A34005 2047 14 right right JJ A34005 2047 15 angles angle NNS A34005 2047 16 at at IN A34005 2047 17 B b NN A34005 2047 18 , , , A34005 2047 19 and and CC A34005 2047 20 prick prick VB A34005 2047 21 off off RP A34005 2047 22 B b NN A34005 2047 23 C C NNP A34005 2047 24 the the DT A34005 2047 25 quantity quantity NN A34005 2047 26 of of IN A34005 2047 27 any any DT A34005 2047 28 Ark Ark NNP A34005 2047 29 out out IN A34005 2047 30 of of IN A34005 2047 31 the the DT A34005 2047 32 line line NN A34005 2047 33 of of IN A34005 2047 34 Latitudes Latitudes NNP A34005 2047 35 , , , A34005 2047 36 and and CC A34005 2047 37 then then RB A34005 2047 38 fit fit VB A34005 2047 39 in in IN A34005 2047 40 the the DT A34005 2047 41 Scale Scale NNP A34005 2047 42 of of IN A34005 2047 43 Hours hour NNS A34005 2047 44 ; ; : A34005 2047 45 so so IN A34005 2047 46 that that IN A34005 2047 47 one one CD A34005 2047 48 end end NN A34005 2047 49 of of IN A34005 2047 50 it -PRON- PRP A34005 2047 51 meeting meet VBG A34005 2047 52 with with IN A34005 2047 53 the the DT A34005 2047 54 Point Point NNP A34005 2047 55 C C NNP A34005 2047 56 , , , A34005 2047 57 the the DT A34005 2047 58 other other JJ A34005 2047 59 may may MD A34005 2047 60 meet meet VB A34005 2047 61 with with IN A34005 2047 62 the the DT A34005 2047 63 other other JJ A34005 2047 64 Leg Leg NNP A34005 2047 65 of of IN A34005 2047 66 the the DT A34005 2047 67 right right JJ A34005 2047 68 angle angle NN A34005 2047 69 at at IN A34005 2047 70 A A NNP A34005 2047 71 , , , A34005 2047 72 from from IN A34005 2047 73 whence whence NN A34005 2047 74 draw draw VB A34005 2047 75 A a NN A34005 2047 76 E e NN A34005 2047 77 parralel parralel NN A34005 2047 78 to to IN A34005 2047 79 B b NN A34005 2047 80 C C NNP A34005 2047 81 ; ; : A34005 2047 82 So so CC A34005 2047 83 A a DT A34005 2047 84 B b NN A34005 2047 85 being be VBG A34005 2047 86 become become VBN A34005 2047 87 Radius Radius NNP A34005 2047 88 , , , A34005 2047 89 B B NNP A34005 2047 90 C C NNP A34005 2047 91 is be VBZ A34005 2047 92 the the DT A34005 2047 93 Sine Sine NNP A34005 2047 94 of of IN A34005 2047 95 the the DT A34005 2047 96 Arch arch JJ A34005 2047 97 first first JJ A34005 2047 98 prickt prickt NNS A34005 2047 99 down down RP A34005 2047 100 from from IN A34005 2047 101 the the DT A34005 2047 102 line line NN A34005 2047 103 of of IN A34005 2047 104 Latitudes Latitudes NNP A34005 2047 105 ; ; : A34005 2047 106 from from IN A34005 2047 107 the the DT A34005 2047 108 Point Point NNP A34005 2047 109 B B NNP A34005 2047 110 through through IN A34005 2047 111 any any DT A34005 2047 112 Point Point NNP A34005 2047 113 in in IN A34005 2047 114 the the DT A34005 2047 115 line line NN A34005 2047 116 of of IN A34005 2047 117 Proportional Proportional NNP A34005 2047 118 Tangents Tangents NNP A34005 2047 119 , , , A34005 2047 120 at at IN A34005 2047 121 L l NN A34005 2047 122 draw draw VBP A34005 2047 123 the the DT A34005 2047 124 Line Line NNP A34005 2047 125 B B NNP A34005 2047 126 L L NNP A34005 2047 127 E e NN A34005 2047 128 , , , A34005 2047 129 and and CC A34005 2047 130 upon upon IN A34005 2047 131 B b NN A34005 2047 132 with with IN A34005 2047 133 the the DT A34005 2047 134 Radius Radius NNP A34005 2047 135 B B NNP A34005 2047 136 A a DT A34005 2047 137 draw draw VB A34005 2047 138 the the DT A34005 2047 139 Arch Arch NNP A34005 2047 140 A A NNP A34005 2047 141 D D NNP A34005 2047 142 , , , A34005 2047 143 which which WDT A34005 2047 144 measureth measureth VBP A34005 2047 145 the the DT A34005 2047 146 Angle Angle NNP A34005 2047 147 A A NNP A34005 2047 148 B B NNP A34005 2047 149 E e NN A34005 2047 150 to to IN A34005 2047 151 the the DT A34005 2047 152 same same JJ A34005 2047 153 Radius radius NN A34005 2047 154 : : : A34005 2047 155 I -PRON- PRP A34005 2047 156 say say VBP A34005 2047 157 , , , A34005 2047 158 there there EX A34005 2047 159 will will MD A34005 2047 160 then then RB A34005 2047 161 be be VB A34005 2047 162 a a DT A34005 2047 163 Proportion proportion NN A34005 2047 164 wrought wrought NN A34005 2047 165 , , , A34005 2047 166 and and CC A34005 2047 167 the the DT A34005 2047 168 said say VBD A34005 2047 169 Arch Arch NNP A34005 2047 170 measureth measureth NN A34005 2047 171 the the DT A34005 2047 172 quantity quantity NN A34005 2047 173 of of IN A34005 2047 174 the the DT A34005 2047 175 fourth fourth JJ A34005 2047 176 Proportional Proportional NNP A34005 2047 177 , , , A34005 2047 178 the the DT A34005 2047 179 Proportion proportion NN A34005 2047 180 will will MD A34005 2047 181 be be VB A34005 2047 182 , , , A34005 2047 183 As as IN A34005 2047 184 the the DT A34005 2047 185 Radius Radius NNP A34005 2047 186 , , , A34005 2047 187 To to IN A34005 2047 188 the the DT A34005 2047 189 Sine Sine NNP A34005 2047 190 of of IN A34005 2047 191 the the DT A34005 2047 192 Ark Ark NNP A34005 2047 193 prickt prickt VBZ A34005 2047 194 down down RP A34005 2047 195 from from IN A34005 2047 196 the the DT A34005 2047 197 Line Line NNP A34005 2047 198 of of IN A34005 2047 199 Latitudes Latitudes NNP A34005 2047 200 : : : A34005 2047 201 So so RB A34005 2047 202 is be VBZ A34005 2047 203 any any DT A34005 2047 204 Tangent Tangent NNP A34005 2047 205 accounted account VBD A34005 2047 206 in in IN A34005 2047 207 the the DT A34005 2047 208 Scale Scale NNP A34005 2047 209 , , , A34005 2047 210 beginning begin VBG A34005 2047 211 at at IN A34005 2047 212 A a NN A34005 2047 213 , , , A34005 2047 214 To to IN A34005 2047 215 the the DT A34005 2047 216 Tangent tangent NN A34005 2047 217 of of IN A34005 2047 218 the the DT A34005 2047 219 fourth fourth JJ A34005 2047 220 Proportional Proportional NNP A34005 2047 221 ; ; : A34005 2047 222 in in IN A34005 2047 223 the the DT A34005 2047 224 Schem Schem NNP A34005 2047 225 it -PRON- PRP A34005 2047 226 lies lie VBZ A34005 2047 227 evident evident JJ A34005 2047 228 in in IN A34005 2047 229 the the DT A34005 2047 230 two two CD A34005 2047 231 opposite opposite JJ A34005 2047 232 Triangles Triangles NNP A34005 2047 233 L L NNP A34005 2047 234 C C NNP A34005 2047 235 B B NNP A34005 2047 236 and and CC A34005 2047 237 L L NNP A34005 2047 238 A a NN A34005 2047 239 E e NN A34005 2047 240 , , , A34005 2047 241 by by IN A34005 2047 242 construction construction NN A34005 2047 243 equiangled equiangle VBD A34005 2047 244 and and CC A34005 2047 245 consequently consequently RB A34005 2047 246 their -PRON- PRP$ A34005 2047 247 sides side NNS A34005 2047 248 Proportional Proportional NNP A34005 2047 249 . . . A34005 2048 1 Assuming assume VBG A34005 2048 2 A a DT A34005 2048 3 L l NN A34005 2048 4 to to TO A34005 2048 5 be be VB A34005 2048 6 the the DT A34005 2048 7 Tangent Tangent NNP A34005 2048 8 of of IN A34005 2048 9 any any DT A34005 2048 10 Ark Ark NNP A34005 2048 11 , , , A34005 2048 12 L L NNP A34005 2048 13 C C NNP A34005 2048 14 becomes become VBZ A34005 2048 15 the the DT A34005 2048 16 Radius Radius NNP A34005 2048 17 , , , A34005 2048 18 according accord VBG A34005 2048 19 to to IN A34005 2048 20 the the DT A34005 2048 21 prescribed prescribed JJ A34005 2048 22 construction construction NN A34005 2048 23 of of IN A34005 2048 24 that that DT A34005 2048 25 Line Line NNP A34005 2048 26 , , , A34005 2048 27 it -PRON- PRP A34005 2048 28 then then RB A34005 2048 29 lies lie VBZ A34005 2048 30 evident evident JJ A34005 2048 31 , , , A34005 2048 32 As as IN A34005 2048 33 L l NN A34005 2048 34 C C NNP A34005 2048 35 the the DT A34005 2048 36 Radius radius NN A34005 2048 37 , , , A34005 2048 38 To to IN A34005 2048 39 C C NNP A34005 2048 40 B B NNP A34005 2048 41 the the DT A34005 2048 42 Sine Sine NNP A34005 2048 43 of of IN A34005 2048 44 any any DT A34005 2048 45 Ark Ark NNP A34005 2048 46 , , , A34005 2048 47 So so RB A34005 2048 48 is be VBZ A34005 2048 49 L L NNP A34005 2048 50 A A NNP A34005 2048 51 , , , A34005 2048 52 the the DT A34005 2048 53 Tangent Tangent NNP A34005 2048 54 of of IN A34005 2048 55 any any DT A34005 2048 56 Ark Ark NNP A34005 2048 57 , , , A34005 2048 58 To to IN A34005 2048 59 A a NN A34005 2048 60 E e NN A34005 2048 61 , , , A34005 2048 62 the the DT A34005 2048 63 Tangent tangent NN A34005 2048 64 of of IN A34005 2048 65 the the DT A34005 2048 66 fourth fourth JJ A34005 2048 67 Proportional Proportional NNP A34005 2048 68 . . . A34005 2049 1 Namely namely RB A34005 2049 2 , , , A34005 2049 3 of of IN A34005 2049 4 the the DT A34005 2049 5 Angle Angle NNP A34005 2049 6 A A NNP A34005 2049 7 B B NNP A34005 2049 8 E e NN A34005 2049 9 , , , A34005 2049 10 and and CC A34005 2049 11 therefore therefore RB A34005 2049 12 it -PRON- PRP A34005 2049 13 pricks prick VBZ A34005 2049 14 down down RP A34005 2049 15 the the DT A34005 2049 16 Hour Hour NNP A34005 2049 17 - - HYPH A34005 2049 18 lines line NNS A34005 2049 19 of of IN A34005 2049 20 a a DT A34005 2049 21 Dyal Dyal NNP A34005 2049 22 most most RBS A34005 2049 23 readily readily RB A34005 2049 24 and and CC A34005 2049 25 accurately accurately RB A34005 2049 26 : : : A34005 2049 27 the the DT A34005 2049 28 Proportion Proportion NNP A34005 2049 29 in in IN A34005 2049 30 pricking prick VBG A34005 2049 31 from from IN A34005 2049 32 the the DT A34005 2049 33 Substile Substile NNP A34005 2049 34 being be VBG A34005 2049 35 alwaies alwaie NNS A34005 2049 36 , , , A34005 2049 37 As as IN A34005 2049 38 the the DT A34005 2049 39 Radius Radius NNP A34005 2049 40 , , , A34005 2049 41 To to IN A34005 2049 42 the the DT A34005 2049 43 Sine Sine NNP A34005 2049 44 of of IN A34005 2049 45 the the DT A34005 2049 46 Stiles Stiles NNP A34005 2049 47 height height NN A34005 2049 48 , , , A34005 2049 49 So so RB A34005 2049 50 the the DT A34005 2049 51 Tangent Tangent NNP A34005 2049 52 of of IN A34005 2049 53 the the DT A34005 2049 54 Angle angle NN A34005 2049 55 at at IN A34005 2049 56 the the DT A34005 2049 57 Pole Pole NNP A34005 2049 58 , , , A34005 2049 59 To to IN A34005 2049 60 the the DT A34005 2049 61 Tangent Tangent NNP A34005 2049 62 of of IN A34005 2049 63 the the DT A34005 2049 64 Hour Hour NNP A34005 2049 65 - - HYPH A34005 2049 66 line line NN A34005 2049 67 from from IN A34005 2049 68 the the DT A34005 2049 69 Substile Substile NNP A34005 2049 70 . . . A34005 2050 1 Uses use NNS A34005 2050 2 of of IN A34005 2050 3 the the DT A34005 2050 4 Graduated Graduated NNP A34005 2050 5 Circle Circle NNP A34005 2050 6 . . . A34005 2051 1 To to TO A34005 2051 2 work work VB A34005 2051 3 Proportions Proportions NNP A34005 2051 4 in in IN A34005 2051 5 Tangents Tangents NNP A34005 2051 6 alone alone RB A34005 2051 7 . . . A34005 2052 1 In in IN A34005 2052 2 any any DT A34005 2052 3 Proportion proportion NN A34005 2052 4 wherein wherein WRB A34005 2052 5 the the DT A34005 2052 6 Radius Radius NNP A34005 2052 7 is be VBZ A34005 2052 8 not not RB A34005 2052 9 ingredient ingredient JJ A34005 2052 10 , , , A34005 2052 11 it -PRON- PRP A34005 2052 12 is be VBZ A34005 2052 13 supposed suppose VBN A34005 2052 14 to to TO A34005 2052 15 be be VB A34005 2052 16 introduced introduce VBN A34005 2052 17 by by IN A34005 2052 18 a a DT A34005 2052 19 double double JJ A34005 2052 20 Operation operation NN A34005 2052 21 , , , A34005 2052 22 and and CC A34005 2052 23 the the DT A34005 2052 24 Poportion Poportion NNP A34005 2052 25 will will MD A34005 2052 26 be be VB A34005 2052 27 , , , A34005 2052 28 As as IN A34005 2052 29 the the DT A34005 2052 30 first first JJ A34005 2052 31 term term NN A34005 2052 32 , , , A34005 2052 33 To to IN A34005 2052 34 the the DT A34005 2052 35 second second JJ A34005 2052 36 , , , A34005 2052 37 So so RB A34005 2052 38 the the DT A34005 2052 39 Radius radius NN A34005 2052 40 to to IN A34005 2052 41 a a DT A34005 2052 42 fourth fourth JJ A34005 2052 43 . . . A34005 2053 1 Again again RB A34005 2053 2 , , , A34005 2053 3 As as IN A34005 2053 4 the the DT A34005 2053 5 Radius Radius NNP A34005 2053 6 is be VBZ A34005 2053 7 to to IN A34005 2053 8 that that DT A34005 2053 9 fourth fourth RB A34005 2053 10 , , , A34005 2053 11 So so RB A34005 2053 12 is be VBZ A34005 2053 13 the the DT A34005 2053 14 third third JJ A34005 2053 15 Term Term NNP A34005 2053 16 given give VBN A34005 2053 17 , , , A34005 2053 18 To to IN A34005 2053 19 the the DT A34005 2053 20 fourth fourth JJ A34005 2053 21 Proportional Proportional NNP A34005 2053 22 sought seek VBN A34005 2053 23 . . . A34005 2054 1 In in IN A34005 2054 2 illustrating illustrate VBG A34005 2054 3 the the DT A34005 2054 4 matter matter NN A34005 2054 5 , , , A34005 2054 6 I -PRON- PRP A34005 2054 7 shall shall MD A34005 2054 8 make make VB A34005 2054 9 use use NN A34005 2054 10 of of IN A34005 2054 11 that that DT A34005 2054 12 Theorem theorem NN A34005 2054 13 ● ● NFP A34005 2054 14 for for IN A34005 2054 15 varying varying NN A34005 2054 16 of of IN A34005 2054 17 Proportions Proportions NNP A34005 2054 18 , , , A34005 2054 19 that that IN A34005 2054 20 the the DT A34005 2054 21 Tangents tangent NNS A34005 2054 22 of of IN A34005 2054 23 Arches Arches NNPS A34005 2054 24 , , , A34005 2054 25 and and CC A34005 2054 26 the the DT A34005 2054 27 Tangents tangent NNS A34005 2054 28 of of IN A34005 2054 29 their -PRON- PRP$ A34005 2054 30 Complements complement NNS A34005 2054 31 are be VBP A34005 2054 32 in in IN A34005 2054 33 reciprocal reciprocal JJ A34005 2054 34 Proportions Proportions NNP A34005 2054 35 . . . A34005 2055 1 As as IN A34005 2055 2 Tangent Tangent NNP A34005 2055 3 23d 23d NNS A34005 2055 4 , , , A34005 2055 5 to to IN A34005 2055 6 Tangent Tangent NNP A34005 2055 7 35d 35d NNS A34005 2055 8 , , , A34005 2055 9 So so RB A34005 2055 10 Tangent Tangent NNP A34005 2055 11 55d 55d VBZ A34005 2055 12 to to IN A34005 2055 13 the the DT A34005 2055 14 Tangent Tangent NNP A34005 2055 15 of of IN A34005 2055 16 67d 67d NNS A34005 2055 17 . . . A34005 2056 1 In in IN A34005 2056 2 working work VBG A34005 2056 3 of of IN A34005 2056 4 this this DT A34005 2056 5 Proportion Proportion NNP A34005 2056 6 , , , A34005 2056 7 the the DT A34005 2056 8 last last JJ A34005 2056 9 term term NN A34005 2056 10 may may MD A34005 2056 11 be be VB A34005 2056 12 found find VBN A34005 2056 13 to to IN A34005 2056 14 the the DT A34005 2056 15 equal equal JJ A34005 2056 16 Semicircle Semicircle NNP A34005 2056 17 , , , A34005 2056 18 or or CC A34005 2056 19 on on IN A34005 2056 20 the the DT A34005 2056 21 Diameter Diameter NNP A34005 2056 22 . . . A34005 2057 1 1 1 LS A34005 2057 2 . . . A34005 2058 1 In in IN A34005 2058 2 the the DT A34005 2058 3 Semicircle Semicircle NNP A34005 2058 4 . . . A34005 2059 1 Extend extend VB A34005 2059 2 the the DT A34005 2059 3 thred thre VBN A34005 2059 4 through through IN A34005 2059 5 23d 23d NNS A34005 2059 6 on on IN A34005 2059 7 the the DT A34005 2059 8 Diameter Diameter NNP A34005 2059 9 , , , A34005 2059 10 and and CC A34005 2059 11 through through IN A34005 2059 12 3 3 CD A34005 2059 13 ● ● NFP A34005 2059 14 in in IN A34005 2059 15 the the DT A34005 2059 16 Semicircle Semicircle NNP A34005 2059 17 , , , A34005 2059 18 and and CC A34005 2059 19 where where WRB A34005 2059 20 it -PRON- PRP A34005 2059 21 intersects intersect VBZ A34005 2059 22 the the DT A34005 2059 23 Circle Circle NNP A34005 2059 24 on on IN A34005 2059 25 the the DT A34005 2059 26 opposite opposite JJ A34005 2059 27 side side NN A34005 2059 28 , , , A34005 2059 29 there there EX A34005 2059 30 hold hold VB A34005 2059 31 one one CD A34005 2059 32 end end NN A34005 2059 33 of of IN A34005 2059 34 it -PRON- PRP A34005 2059 35 , , , A34005 2059 36 then then RB A34005 2059 37 extend extend VB A34005 2059 38 the the DT A34005 2059 39 other other JJ A34005 2059 40 part part NN A34005 2059 41 of of IN A34005 2059 42 it -PRON- PRP A34005 2059 43 over over IN A34005 2059 44 55 55 CD A34005 2059 45 in in IN A34005 2059 46 the the DT A34005 2059 47 Diameter Diameter NNP A34005 2059 48 , , , A34005 2059 49 and and CC A34005 2059 50 in in IN A34005 2059 51 the the DT A34005 2059 52 Semicircle Semicircle NNP A34005 2059 53 , , , A34005 2059 54 it -PRON- PRP A34005 2059 55 will will MD A34005 2059 56 intersect intersect VB A34005 2059 57 67d 67d NNS A34005 2059 58 for for IN A34005 2059 59 the the DT A34005 2059 60 term term NN A34005 2059 61 sought seek VBN A34005 2059 62 . . . A34005 2060 1 2 2 LS A34005 2060 2 . . . A34005 2061 1 On on IN A34005 2061 2 the the DT A34005 2061 3 Diameter Diameter NNP A34005 2061 4 . . . A34005 2062 1 Extend extend VB A34005 2062 2 the the DT A34005 2062 3 thred thre VBN A34005 2062 4 over over IN A34005 2062 5 23d 23d NNS A34005 2062 6 in in IN A34005 2062 7 the the DT A34005 2062 8 Semicircle Semicircle NNP A34005 2062 9 , , , A34005 2062 10 and and CC A34005 2062 11 35d 35d NNS A34005 2062 12 on on IN A34005 2062 13 the the DT A34005 2062 14 Diameter Diameter NNP A34005 2062 15 , , , A34005 2062 16 and and CC A34005 2062 17 where where WRB A34005 2062 18 it -PRON- PRP A34005 2062 19 intersects intersect VBZ A34005 2062 20 the the DT A34005 2062 21 void void JJ A34005 2062 22 circular circular JJ A34005 2062 23 line line NN A34005 2062 24 on on IN A34005 2062 25 the the DT A34005 2062 26 opposite opposite JJ A34005 2062 27 side side NN A34005 2062 28 , , , A34005 2062 29 there there EX A34005 2062 30 hold hold VBP A34005 2062 31 it -PRON- PRP A34005 2062 32 , , , A34005 2062 33 then then RB A34005 2062 34 laying lay VBG A34005 2062 35 the the DT A34005 2062 36 other other JJ A34005 2062 37 end end NN A34005 2062 38 of of IN A34005 2062 39 it -PRON- PRP A34005 2062 40 over over IN A34005 2062 41 55 55 CD A34005 2062 42 d d NN A34005 2062 43 in in IN A34005 2062 44 the the DT A34005 2062 45 Semicircle Semicircle NNP A34005 2062 46 , , , A34005 2062 47 and and CC A34005 2062 48 it -PRON- PRP A34005 2062 49 will will MD A34005 2062 50 cut cut VB A34005 2062 51 67 67 CD A34005 2062 52 d d NNS A34005 2062 53 on on IN A34005 2062 54 the the DT A34005 2062 55 Diameter Diameter NNP A34005 2062 56 . . . A34005 2063 1 If if IN A34005 2063 2 the the DT A34005 2063 3 Radius Radius NNP A34005 2063 4 had have VBD A34005 2063 5 been be VBN A34005 2063 6 one one CD A34005 2063 7 of of IN A34005 2063 8 the the DT A34005 2063 9 terms term NNS A34005 2063 10 in in IN A34005 2063 11 the the DT A34005 2063 12 Proportion Proportion NNP A34005 2063 13 , , , A34005 2063 14 the the DT A34005 2063 15 operation operation NN A34005 2063 16 would would MD A34005 2063 17 have have VB A34005 2063 18 been be VBN A34005 2063 19 the the DT A34005 2063 20 same same JJ A34005 2063 21 , , , A34005 2063 22 if if IN A34005 2063 23 the the DT A34005 2063 24 Tangent Tangent NNP A34005 2063 25 of of IN A34005 2063 26 45 45 CD A34005 2063 27 d d NN A34005 2063 28 had have VBD A34005 2063 29 been be VBN A34005 2063 30 taken take VBN A34005 2063 31 in in IN A34005 2063 32 stead stead NN A34005 2063 33 of of IN A34005 2063 34 it -PRON- PRP A34005 2063 35 . . . A34005 2064 1 To to TO A34005 2064 2 work work VB A34005 2064 3 Proportions Proportions NNP A34005 2064 4 in in IN A34005 2064 5 Sines Sines NNPS A34005 2064 6 and and CC A34005 2064 7 Tangents Tangents NNP A34005 2064 8 joyntly joyntly RB A34005 2064 9 . . . A34005 2065 1 1 1 LS A34005 2065 2 . . . A34005 2066 1 If if IN A34005 2066 2 a a DT A34005 2066 3 Sine Sine NNP A34005 2066 4 be be VB A34005 2066 5 sought seek VBN A34005 2066 6 , , , A34005 2066 7 the the DT A34005 2066 8 middle middle JJ A34005 2066 9 terms term NNS A34005 2066 10 being be VBG A34005 2066 11 of of IN A34005 2066 12 a a DT A34005 2066 13 different different JJ A34005 2066 14 species specie NNS A34005 2066 15 . . . A34005 2067 1 Extend extend VB A34005 2067 2 the the DT A34005 2067 3 thred thre VBN A34005 2067 4 through through IN A34005 2067 5 the the DT A34005 2067 6 first first JJ A34005 2067 7 term term NN A34005 2067 8 on on IN A34005 2067 9 the the DT A34005 2067 10 Diameter Diameter NNP A34005 2067 11 , , , A34005 2067 12 being be VBG A34005 2067 13 a a DT A34005 2067 14 Tangent Tangent NNP A34005 2067 15 , , , A34005 2067 16 and and CC A34005 2067 17 through through IN A34005 2067 18 the the DT A34005 2067 19 Sine Sine NNP A34005 2067 20 , , , A34005 2067 21 being be VBG A34005 2067 22 one one CD A34005 2067 23 of of IN A34005 2067 24 the the DT A34005 2067 25 middle middle JJ A34005 2067 26 terms term NNS A34005 2067 27 , , , A34005 2067 28 counted count VBN A34005 2067 29 in in IN A34005 2067 30 the the DT A34005 2067 31 unequal unequal JJ A34005 2067 32 Quadrant Quadrant NNP A34005 2067 33 , , , A34005 2067 34 and and CC A34005 2067 35 where where WRB A34005 2067 36 it -PRON- PRP A34005 2067 37 intersects intersect VBZ A34005 2067 38 the the DT A34005 2067 39 Opposite opposite JJ A34005 2067 40 side side NN A34005 2067 41 of of IN A34005 2067 42 the the DT A34005 2067 43 Circle Circle NNP A34005 2067 44 hold hold VB A34005 2067 45 it -PRON- PRP A34005 2067 46 , , , A34005 2067 47 then then RB A34005 2067 48 extend extend VB A34005 2067 49 the the DT A34005 2067 50 thred thre VBN A34005 2067 51 over over IN A34005 2067 52 the the DT A34005 2067 53 Tangent Tangent NNP A34005 2067 54 , , , A34005 2067 55 being be VBG A34005 2067 56 the the DT A34005 2067 57 other other JJ A34005 2067 58 middle middle JJ A34005 2067 59 term term NN A34005 2067 60 counted count VBN A34005 2067 61 on on IN A34005 2067 62 the the DT A34005 2067 63 Diameter Diameter NNP A34005 2067 64 , , , A34005 2067 65 and and CC A34005 2067 66 it -PRON- PRP A34005 2067 67 will will MD A34005 2067 68 intersect intersect VB A34005 2067 69 the the DT A34005 2067 70 graduated graduated JJ A34005 2067 71 Quadrant Quadrant NNP A34005 2067 72 at at IN A34005 2067 73 the the DT A34005 2067 74 Sine Sine NNP A34005 2067 75 sought seek VBD A34005 2067 76 . . . A34005 2068 1 Example example NN A34005 2068 2 . . . A34005 2069 1 If if IN A34005 2069 2 the the DT A34005 2069 3 Proportion proportion NN A34005 2069 4 were be VBD A34005 2069 5 as as IN A34005 2069 6 the the DT A34005 2069 7 Tangent Tangent NNP A34005 2069 8 of of IN A34005 2069 9 14d 14d NNS A34005 2069 10 to to IN A34005 2069 11 the the DT A34005 2069 12 Sine Sine NNP A34005 2069 13 of of IN A34005 2069 14 29d 29d NNS A34005 2069 15 So so RB A34005 2069 16 is be VBZ A34005 2069 17 the the DT A34005 2069 18 Tangent Tangent NNP A34005 2069 19 of of IN A34005 2069 20 20d 20d NNS A34005 2069 21 to to IN A34005 2069 22 a a DT A34005 2069 23 Sine Sine NNP A34005 2069 24 , , , A34005 2069 25 the the DT A34005 2069 26 fourth fourth JJ A34005 2069 27 Proportional Proportional NNP A34005 2069 28 would would MD A34005 2069 29 be be VB A34005 2069 30 found find VBN A34005 2069 31 to to TO A34005 2069 32 be be VB A34005 2069 33 the the DT A34005 2069 34 Sine Sine NNP A34005 2069 35 of of IN A34005 2069 36 45d 45d CD A34005 2069 37 . . . A34005 2070 1 2 2 LS A34005 2070 2 . . . A34005 2071 1 If if IN A34005 2071 2 a a DT A34005 2071 3 Tangent tangent NN A34005 2071 4 be be VB A34005 2071 5 sought seek VBN A34005 2071 6 , , , A34005 2071 7 the the DT A34005 2071 8 middle middle JJ A34005 2071 9 terms term NNS A34005 2071 10 being be VBG A34005 2071 11 of of IN A34005 2071 12 several several JJ A34005 2071 13 kinds kind NNS A34005 2071 14 , , , A34005 2071 15 Extend extend VB A34005 2071 16 the the DT A34005 2071 17 thred thre VBN A34005 2071 18 through through IN A34005 2071 19 the the DT A34005 2071 20 Sine Sine NNP A34005 2071 21 in in IN A34005 2071 22 the the DT A34005 2071 23 upper upper JJ A34005 2071 24 Quadrant Quadrant NNP A34005 2071 25 , , , A34005 2071 26 being be VBG A34005 2071 27 the the DT A34005 2071 28 first first JJ A34005 2071 29 term term NN A34005 2071 30 , , , A34005 2071 31 and and CC A34005 2071 32 through through IN A34005 2071 33 the the DT A34005 2071 34 Tangent Tangent NNP A34005 2071 35 on on IN A34005 2071 36 the the DT A34005 2071 37 Diameter diameter NN A34005 2071 38 , , , A34005 2071 39 being be VBG A34005 2071 40 one one CD A34005 2071 41 of of IN A34005 2071 42 the the DT A34005 2071 43 other other JJ A34005 2071 44 middle middle JJ A34005 2071 45 terms term NNS A34005 2071 46 , , , A34005 2071 47 holding hold VBG A34005 2071 48 it -PRON- PRP A34005 2071 49 at at IN A34005 2071 50 the the DT A34005 2071 51 Intersection intersection NN A34005 2071 52 of of IN A34005 2071 53 the the DT A34005 2071 54 Circle Circle NNP A34005 2071 55 on on IN A34005 2071 56 the the DT A34005 2071 57 opposite opposite JJ A34005 2071 58 side side NN A34005 2071 59 , , , A34005 2071 60 then then RB A34005 2071 61 lay lay VB A34005 2071 62 the the DT A34005 2071 63 thred thre VBN A34005 2071 64 to to IN A34005 2071 65 the the DT A34005 2071 66 other other JJ A34005 2071 67 middle middle JJ A34005 2071 68 term term NN A34005 2071 69 in in IN A34005 2071 70 the the DT A34005 2071 71 upper upper JJ A34005 2071 72 Quadrant Quadrant NNP A34005 2071 73 , , , A34005 2071 74 and and CC A34005 2071 75 on on IN A34005 2071 76 the the DT A34005 2071 77 Diameter Diameter NNP A34005 2071 78 , , , A34005 2071 79 it -PRON- PRP A34005 2071 80 shews shew VBZ A34005 2071 81 the the DT A34005 2071 82 Tangent Tangent NNP A34005 2071 83 sought seek VBD A34005 2071 84 . . . A34005 2072 1 Example example NN A34005 2072 2 . . . A34005 2073 1 If if IN A34005 2073 2 the the DT A34005 2073 3 Suns Suns NNPS A34005 2073 4 Amplitude Amplitude NNP A34005 2073 5 and and CC A34005 2073 6 Vertical Vertical NNP A34005 2073 7 Altitude Altitude NNP A34005 2073 8 were be VBD A34005 2073 9 given give VBN A34005 2073 10 , , , A34005 2073 11 the the DT A34005 2073 12 Proportion proportion NN A34005 2073 13 from from IN A34005 2073 14 the the DT A34005 2073 15 Analemma Analemma NNP A34005 2073 16 to to TO A34005 2073 17 find find VB A34005 2073 18 the the DT A34005 2073 19 Latitude Latitude NNP A34005 2073 20 would would MD A34005 2073 21 be be VB A34005 2073 22 , , , A34005 2073 23 As as IN A34005 2073 24 the the DT A34005 2073 25 Sine Sine NNP A34005 2073 26 of of IN A34005 2073 27 the the DT A34005 2073 28 Amplitude Amplitude NNP A34005 2073 29 to to IN A34005 2073 30 Radius Radius NNP A34005 2073 31 , , , A34005 2073 32 So so RB A34005 2073 33 is be VBZ A34005 2073 34 the the DT A34005 2073 35 Sine Sine NNP A34005 2073 36 of of IN A34005 2073 37 the the DT A34005 2073 38 Vertical Vertical NNP A34005 2073 39 Altitude Altitude NNP A34005 2073 40 , , , A34005 2073 41 To to IN A34005 2073 42 the the DT A34005 2073 43 Cotangent Cotangent NNP A34005 2073 44 of of IN A34005 2073 45 the the DT A34005 2073 46 Latitude Latitude NNP A34005 2073 47 Let let VB A34005 2073 48 the the DT A34005 2073 49 Amplitude Amplitude NNP A34005 2073 50 be be VB A34005 2073 51 — — : A34005 2073 52 39d 39d NNS A34005 2073 53 54′ 54′ CD A34005 2073 54 And and CC A34005 2073 55 the the DT A34005 2073 56 Suns Suns NNPS A34005 2073 57 Altitude Altitude NNP A34005 2073 58 being be VBG A34005 2073 59 East East NNP A34005 2073 60 or or CC A34005 2073 61 West West NNP A34005 2073 62 — — : A34005 2073 63 30 30 CD A34005 2073 64 39′ 39′ CD A34005 2073 65 Extend extend VB A34005 2073 66 the the DT A34005 2073 67 thred thre VBN A34005 2073 68 through through IN A34005 2073 69 39 39 CD A34005 2073 70 54′ 54′ CD A34005 2073 71 , , , A34005 2073 72 the the DT A34005 2073 73 Amplitude Amplitude NNP A34005 2073 74 counted count VBD A34005 2073 75 in in IN A34005 2073 76 the the DT A34005 2073 77 upper upper JJ A34005 2073 78 Quadrant Quadrant NNP A34005 2073 79 , , , A34005 2073 80 and and CC A34005 2073 81 through through IN A34005 2073 82 45d 45d NNS A34005 2073 83 on on IN A34005 2073 84 the the DT A34005 2073 85 Diameter Diameter NNP A34005 2073 86 , , , A34005 2073 87 holding hold VBG A34005 2073 88 it -PRON- PRP A34005 2073 89 at at IN A34005 2073 90 the the DT A34005 2073 91 intersection intersection NN A34005 2073 92 with with IN A34005 2073 93 the the DT A34005 2073 94 Circle Circle NNP A34005 2073 95 on on IN A34005 2073 96 the the DT A34005 2073 97 Opposite opposite JJ A34005 2073 98 side side NN A34005 2073 99 , , , A34005 2073 100 then then RB A34005 2073 101 lay lay VB A34005 2073 102 the the DT A34005 2073 103 thred thre VBN A34005 2073 104 over over IN A34005 2073 105 30d 30d NNS A34005 2073 106 39′ 39′ CD A34005 2073 107 , , , A34005 2073 108 the the DT A34005 2073 109 Vertical Vertical NNP A34005 2073 110 Altitude Altitude NNP A34005 2073 111 , , , A34005 2073 112 and and CC A34005 2073 113 it -PRON- PRP A34005 2073 114 will will MD A34005 2073 115 intersect intersect VB A34005 2073 116 the the DT A34005 2073 117 Diameter Diameter NNP A34005 2073 118 at at IN A34005 2073 119 38d 38d CD A34005 2073 120 28′ 28′ CD A34005 2073 121 , , , A34005 2073 122 the the DT A34005 2073 123 Complement Complement NNP A34005 2073 124 of of IN A34005 2073 125 the the DT A34005 2073 126 Latitude Latitude NNP A34005 2073 127 sought seek VBD A34005 2073 128 . . . A34005 2074 1 But but CC A34005 2074 2 Proportions Proportions NNP A34005 2074 3 derived derive VBD A34005 2074 4 from from IN A34005 2074 5 the the DT A34005 2074 6 16 16 CD A34005 2074 7 cases case NNS A34005 2074 8 of of IN A34005 2074 9 right right RB A34005 2074 10 angled angle VBN A34005 2074 11 Spherical Spherical NNP A34005 2074 12 Triangles Triangles NNPS A34005 2074 13 , , , A34005 2074 14 having have VBG A34005 2074 15 the the DT A34005 2074 16 Radius Radius NNP A34005 2074 17 ingredient ingredient NN A34005 2074 18 , , , A34005 2074 19 will will MD A34005 2074 20 be be VB A34005 2074 21 wrought work VBN A34005 2074 22 without without IN A34005 2074 23 any any DT A34005 2074 24 motion motion NN A34005 2074 25 of of IN A34005 2074 26 the the DT A34005 2074 27 thred thre VBN A34005 2074 28 . . . A34005 2075 1 An an DT A34005 2075 2 Example Example NNP A34005 2075 3 for for IN A34005 2075 4 finding find VBG A34005 2075 5 the the DT A34005 2075 6 Suns Suns NNPS A34005 2075 7 Azimuth Azimuth NNP A34005 2075 8 at at IN A34005 2075 9 the the DT A34005 2075 10 Hour Hour NNP A34005 2075 11 of of IN A34005 2075 12 6 6 CD A34005 2075 13 . . . A34005 2076 1 As as IN A34005 2076 2 the the DT A34005 2076 3 Radius Radius NNP A34005 2076 4 to to IN A34005 2076 5 the the DT A34005 2076 6 Cosine Cosine NNP A34005 2076 7 of of IN A34005 2076 8 the the DT A34005 2076 9 Latitude Latitude NNP A34005 2076 10 , , , A34005 2076 11 So so CC A34005 2076 12 the the DT A34005 2076 13 Tangent tangent NN A34005 2076 14 of of IN A34005 2076 15 the the DT A34005 2076 16 Declination declination NN A34005 2076 17 , , , A34005 2076 18 To to IN A34005 2076 19 the the DT A34005 2076 20 Tangent Tangent NNP A34005 2076 21 of of IN A34005 2076 22 the the DT A34005 2076 23 Azimuth Azimuth NNP A34005 2076 24 , , , A34005 2076 25 from from IN A34005 2076 26 the the DT A34005 2076 27 Vertical Vertical NNP A34005 2076 28 towards towards IN A34005 2076 29 Midnight Midnight NNP A34005 2076 30 Meridian Meridian NNP A34005 2076 31 . . . A34005 2077 1 Extend extend VB A34005 2077 2 the the DT A34005 2077 3 thred thre VBN A34005 2077 4 over over IN A34005 2077 5 the the DT A34005 2077 6 Complement Complement NNP A34005 2077 7 of of IN A34005 2077 8 the the DT A34005 2077 9 Latitude Latitude NNP A34005 2077 10 in in IN A34005 2077 11 the the DT A34005 2077 12 upper upper JJ A34005 2077 13 Quadrant Quadrant NNP A34005 2077 14 , , , A34005 2077 15 and and CC A34005 2077 16 over over IN A34005 2077 17 the the DT A34005 2077 18 Declination declination NN A34005 2077 19 in in IN A34005 2077 20 the the DT A34005 2077 21 Semicircle Semicircle NNP A34005 2077 22 , , , A34005 2077 23 and and CC A34005 2077 24 on on IN A34005 2077 25 the the DT A34005 2077 26 Diameter Diameter NNP A34005 2077 27 . . . A34005 2078 1 it -PRON- PRP A34005 2078 2 shews shew VBZ A34005 2078 3 the the DT A34005 2078 4 Azimuth Azimuth NNP A34005 2078 5 sought seek VBD A34005 2078 6 . . . A34005 2079 1 So so RB A34005 2079 2 when when WRB A34005 2079 3 the the DT A34005 2079 4 Sun Sun NNP A34005 2079 5 hath hath NN A34005 2079 6 15d 15d NNS A34005 2079 7 of of IN A34005 2079 8 Declination Declination NNP A34005 2079 9 , , , A34005 2079 10 his -PRON- PRP$ A34005 2079 11 Azimuth Azimuth NNP A34005 2079 12 shall shall MD A34005 2079 13 be be VB A34005 2079 14 9d 9d NN A34005 2079 15 28′ 28′ CD A34005 2079 16 from from IN A34005 2079 17 the the DT A34005 2079 18 Vertical Vertical NNP A34005 2079 19 at at IN A34005 2079 20 the the DT A34005 2079 21 hour hour NN A34005 2079 22 of of IN A34005 2079 23 6 6 CD A34005 2079 24 in in IN A34005 2079 25 our -PRON- PRP$ A34005 2079 26 Latitude Latitude NNP A34005 2079 27 of of IN A34005 2079 28 London London NNP A34005 2079 29 . . . A34005 2080 1 Another another DT A34005 2080 2 Example Example NNP A34005 2080 3 to to TO A34005 2080 4 find find VB A34005 2080 5 the the DT A34005 2080 6 time time NN A34005 2080 7 when when WRB A34005 2080 8 the the DT A34005 2080 9 Sun Sun NNP A34005 2080 10 will will MD A34005 2080 11 be be VB A34005 2080 12 due due JJ A34005 2080 13 East East NNP A34005 2080 14 or or CC A34005 2080 15 West West NNP A34005 2080 16 . . . A34005 2081 1 Extend extend VB A34005 2081 2 the the DT A34005 2081 3 thred thre VBN A34005 2081 4 over over IN A34005 2081 5 the the DT A34005 2081 6 Latitude Latitude NNP A34005 2081 7 in in IN A34005 2081 8 the the DT A34005 2081 9 Semicircle Semicircle NNP A34005 2081 10 , , , A34005 2081 11 and and CC A34005 2081 12 over over IN A34005 2081 13 the the DT A34005 2081 14 Declination declination NN A34005 2081 15 on on IN A34005 2081 16 the the DT A34005 2081 17 Diameter Diameter NNP A34005 2081 18 , , , A34005 2081 19 and and CC A34005 2081 20 in in IN A34005 2081 21 the the DT A34005 2081 22 Quadrant Quadrant NNP A34005 2081 23 of of IN A34005 2081 24 Latitudes Latitudes NNPS A34005 2081 25 it -PRON- PRP A34005 2081 26 shews shew VBZ A34005 2081 27 the the DT A34005 2081 28 Ark Ark NNP A34005 2081 29 sought seek VBD A34005 2081 30 . . . A34005 2082 1 The the DT A34005 2082 2 Proportion Proportion NNP A34005 2082 3 wrought work VBD A34005 2082 4 , , , A34005 2082 5 is be VBZ A34005 2082 6 , , , A34005 2082 7 As as IN A34005 2082 8 the the DT A34005 2082 9 Radius Radius NNP A34005 2082 10 to to IN A34005 2082 11 the the DT A34005 2082 12 Cotangent Cotangent NNP A34005 2082 13 of of IN A34005 2082 14 the the DT A34005 2082 15 Latitude Latitude NNP A34005 2082 16 , , , A34005 2082 17 So so RB A34005 2082 18 is be VBZ A34005 2082 19 the the DT A34005 2082 20 Tangent Tangent NNP A34005 2082 21 of of IN A34005 2082 22 the the DT A34005 2082 23 Declination declination NN A34005 2082 24 , , , A34005 2082 25 To to IN A34005 2082 26 the the DT A34005 2082 27 Sine Sine NNP A34005 2082 28 of of IN A34005 2082 29 the the DT A34005 2082 30 Hour Hour NNP A34005 2082 31 from from IN A34005 2082 32 6 6 CD A34005 2082 33 . . . A34005 2083 1 Example example NN A34005 2083 2 . . . A34005 2084 1 So so RB A34005 2084 2 when when WRB A34005 2084 3 the the DT A34005 2084 4 Sun Sun NNP A34005 2084 5 hath hath NNP A34005 2084 6 15 15 CD A34005 2084 7 ● ● CD A34005 2084 8 of of IN A34005 2084 9 North North NNP A34005 2084 10 Declination Declination NNP A34005 2084 11 , , , A34005 2084 12 in in IN A34005 2084 13 our -PRON- PRP$ A34005 2084 14 Latitude Latitude NNP A34005 2084 15 of of IN A34005 2084 16 London London NNP A34005 2084 17 , , , A34005 2084 18 the the DT A34005 2084 19 Hour Hour NNP A34005 2084 20 will will MD A34005 2084 21 be be VB A34005 2084 22 found find VBN A34005 2084 23 12d 12d CD A34005 2084 24 18′ 18′ CD A34005 2084 25 from from IN A34005 2084 26 6 6 CD A34005 2084 27 in in IN A34005 2084 28 time time NN A34005 2084 29 49⅕′ 49⅕′ CD A34005 2084 30 past past IN A34005 2084 31 6 6 CD A34005 2084 32 in in IN A34005 2084 33 the the DT A34005 2084 34 morning morning NN A34005 2084 35 , , , A34005 2084 36 or or CC A34005 2084 37 before before IN A34005 2084 38 it -PRON- PRP A34005 2084 39 in in IN A34005 2084 40 the the DT A34005 2084 41 afternoon afternoon NN A34005 2084 42 . . . A34005 2085 1 Another another DT A34005 2085 2 Example example NN A34005 2085 3 to to TO A34005 2085 4 find find VB A34005 2085 5 the the DT A34005 2085 6 Time Time NNP A34005 2085 7 of of IN A34005 2085 8 Sun Sun NNP A34005 2085 9 rising rise VBG A34005 2085 10 . . . A34005 2086 1 As as IN A34005 2086 2 the the DT A34005 2086 3 Cotangent Cotangent NNP A34005 2086 4 of of IN A34005 2086 5 the the DT A34005 2086 6 Latitude Latitude NNP A34005 2086 7 , , , A34005 2086 8 to to IN A34005 2086 9 Radius Radius NNP A34005 2086 10 , , , A34005 2086 11 So so RB A34005 2086 12 is be VBZ A34005 2086 13 the the DT A34005 2086 14 Tangent Tangent NNP A34005 2086 15 of of IN A34005 2086 16 the the DT A34005 2086 17 Declination declination NN A34005 2086 18 , , , A34005 2086 19 To to IN A34005 2086 20 the the DT A34005 2086 21 Sine Sine NNP A34005 2086 22 of of IN A34005 2086 23 the the DT A34005 2086 24 Hour Hour NNP A34005 2086 25 from from IN A34005 2086 26 6 6 CD A34005 2086 27 before before RB A34005 2086 28 or or CC A34005 2086 29 after after IN A34005 2086 30 it -PRON- PRP A34005 2086 31 . . . A34005 2087 1 Lay lay VB A34005 2087 2 the the DT A34005 2087 3 thred thre VBN A34005 2087 4 to to IN A34005 2087 5 the the DT A34005 2087 6 Complement Complement NNP A34005 2087 7 of of IN A34005 2087 8 the the DT A34005 2087 9 Latitude Latitude NNP A34005 2087 10 in in IN A34005 2087 11 the the DT A34005 2087 12 Semicircle Semicircle NNP A34005 2087 13 , , , A34005 2087 14 and and CC A34005 2087 15 over over IN A34005 2087 16 the the DT A34005 2087 17 Declination declination NN A34005 2087 18 on on IN A34005 2087 19 the the DT A34005 2087 20 Diameter Diameter NNP A34005 2087 21 , , , A34005 2087 22 and and CC A34005 2087 23 in in IN A34005 2087 24 the the DT A34005 2087 25 Quadrant Quadrant NNP A34005 2087 26 of of IN A34005 2087 27 Latitudes Latitudes NNP A34005 2087 28 , , , A34005 2087 29 it -PRON- PRP A34005 2087 30 shews shew VBZ A34005 2087 31 the the DT A34005 2087 32 time time NN A34005 2087 33 sought seek VBN A34005 2087 34 in in IN A34005 2087 35 degrees degree NNS A34005 2087 36 , , , A34005 2087 37 to to TO A34005 2087 38 be be VB A34005 2087 39 converted convert VBN A34005 2087 40 into into IN A34005 2087 41 common common JJ A34005 2087 42 time time NN A34005 2087 43 , , , A34005 2087 44 by by IN A34005 2087 45 allowing allow VBG A34005 2087 46 15 15 CD A34005 2087 47 ● ● NFP A34005 2087 48 to to IN A34005 2087 49 an an DT A34005 2087 50 hour hour NN A34005 2087 51 , , , A34005 2087 52 and and CC A34005 2087 53 4′ 4′ CD A34005 2087 54 to to IN A34005 2087 55 a a DT A34005 2087 56 degree degree NN A34005 2087 57 . . . A34005 2088 1 So so RB A34005 2088 2 in in IN A34005 2088 3 the the DT A34005 2088 4 Latitude Latitude NNP A34005 2088 5 of of IN A34005 2088 6 London London NNP A34005 2088 7 , , , A34005 2088 8 51d 51d CD A34005 2088 9 32′ 32′ CD A34005 2088 10 when when WRB A34005 2088 11 the the DT A34005 2088 12 Sun Sun NNP A34005 2088 13 hath hath NNP A34005 2088 14 15 15 CD A34005 2088 15 ● ● CD A34005 2088 16 of of IN A34005 2088 17 Declination Declination NNP A34005 2088 18 , , , A34005 2088 19 the the DT A34005 2088 20 ascensional ascensional JJ A34005 2088 21 difference difference NN A34005 2088 22 or or CC A34005 2088 23 time time NN A34005 2088 24 of of IN A34005 2088 25 rising rise VBG A34005 2088 26 from from IN A34005 2088 27 6 6 CD A34005 2088 28 , , , A34005 2088 29 will will MD A34005 2088 30 be be VB A34005 2088 31 19d 19d NNS A34005 2088 32 42′ 42′ CD A34005 2088 33 , , , A34005 2088 34 to to TO A34005 2088 35 be be VB A34005 2088 36 converted convert VBN A34005 2088 37 into into IN A34005 2088 38 common common JJ A34005 2088 39 time time NN A34005 2088 40 , , , A34005 2088 41 as as IN A34005 2088 42 before before RB A34005 2088 43 . . . A34005 2089 1 By by IN A34005 2089 2 what what WP A34005 2089 3 hath hath NNP A34005 2089 4 been be VBN A34005 2089 5 said say VBN A34005 2089 6 , , , A34005 2089 7 it -PRON- PRP A34005 2089 8 appears appear VBZ A34005 2089 9 , , , A34005 2089 10 that that IN A34005 2089 11 the the DT A34005 2089 12 Hour Hour NNP A34005 2089 13 and and CC A34005 2089 14 Azimuth Azimuth NNP A34005 2089 15 may may MD A34005 2089 16 be be VB A34005 2089 17 found find VBN A34005 2089 18 generally generally RB A34005 2089 19 by by IN A34005 2089 20 help help NN A34005 2089 21 of of IN A34005 2089 22 this this DT A34005 2089 23 Circle Circle NNP A34005 2089 24 and and CC A34005 2089 25 Diameter Diameter NNP A34005 2089 26 . . . A34005 2090 1 For for IN A34005 2090 2 the the DT A34005 2090 3 performance performance NN A34005 2090 4 whereof whereof NN A34005 2090 5 , , , A34005 2090 6 we -PRON- PRP A34005 2090 7 must must MD A34005 2090 8 have have VB A34005 2090 9 recourse recourse VBN A34005 2090 10 to to IN A34005 2090 11 the the DT A34005 2090 12 Proportions Proportions NNPS A34005 2090 13 delivered deliver VBD A34005 2090 14 in in IN A34005 2090 15 page page NN A34005 2090 16 123 123 CD A34005 2090 17 . . . A34005 2090 18 whereby whereby WRB A34005 2090 19 we -PRON- PRP A34005 2090 20 may may MD A34005 2090 21 alwaies alwaie NNS A34005 2090 22 find find VB A34005 2090 23 the the DT A34005 2090 24 two two CD A34005 2090 25 Angle Angle NNP A34005 2090 26 adjacent adjacent JJ A34005 2090 27 to to IN A34005 2090 28 the the DT A34005 2090 29 side side NN A34005 2090 30 on on IN A34005 2090 31 which which WDT A34005 2090 32 the the DT A34005 2090 33 Perpendicular Perpendicular NNP A34005 2090 34 falleth falleth NN A34005 2090 35 , , , A34005 2090 36 which which WDT A34005 2090 37 may may MD A34005 2090 38 be be VB A34005 2090 39 any any DT A34005 2090 40 side side NN A34005 2090 41 at at IN A34005 2090 42 pleasure pleasure NN A34005 2090 43 ; ; : A34005 2090 44 for for IN A34005 2090 45 after after IN A34005 2090 46 the the DT A34005 2090 47 first first JJ A34005 2090 48 Proportion proportion NN A34005 2090 49 wholly wholly RB A34005 2090 50 in in IN A34005 2090 51 Tangents Tangents NNP A34005 2090 52 is be VBZ A34005 2090 53 wrought work VBN A34005 2090 54 , , , A34005 2090 55 to to TO A34005 2090 56 find find VB A34005 2090 57 either either DT A34005 2090 58 of of IN A34005 2090 59 those those DT A34005 2090 60 Angles angle NNS A34005 2090 61 , , , A34005 2090 62 will will MD A34005 2090 63 be be VB A34005 2090 64 agreeable agreeable JJ A34005 2090 65 to to IN A34005 2090 66 the the DT A34005 2090 67 second second JJ A34005 2090 68 case case NN A34005 2090 69 of of IN A34005 2090 70 right right JJ A34005 2090 71 angled angle VBN A34005 2090 72 Spherical Spherical NNP A34005 2090 73 Triangles Triangles NNPS A34005 2090 74 , , , A34005 2090 75 wherein wherein WRB A34005 2090 76 there there EX A34005 2090 77 will will MD A34005 2090 78 be be VB A34005 2090 79 given give VBN A34005 2090 80 the the DT A34005 2090 81 Hypotenusal Hypotenusal NNP A34005 2090 82 , , , A34005 2090 83 and and CC A34005 2090 84 one one CD A34005 2090 85 of of IN A34005 2090 86 the the DT A34005 2090 87 Legs leg NNS A34005 2090 88 , , , A34005 2090 89 to to TO A34005 2090 90 find find VB A34005 2090 91 the the DT A34005 2090 92 adjacent adjacent JJ A34005 2090 93 Angle Angle NNP A34005 2090 94 , , , A34005 2090 95 only only RB A34005 2090 96 it -PRON- PRP A34005 2090 97 must must MD A34005 2090 98 be be VB A34005 2090 99 suggested suggest VBN A34005 2090 100 , , , A34005 2090 101 that that IN A34005 2090 102 when when WRB A34005 2090 103 the the DT A34005 2090 104 two two CD A34005 2090 105 sides side NNS A34005 2090 106 that that WDT A34005 2090 107 subtend subtend VBP A34005 2090 108 the the DT A34005 2090 109 Angle Angle NNP A34005 2090 110 sought seek VBN A34005 2090 111 , , , A34005 2090 112 are be VBP A34005 2090 113 together together RB A34005 2090 114 greater great JJR A34005 2090 115 then then RB A34005 2090 116 a a DT A34005 2090 117 Semicircle Semicircle NNP A34005 2090 118 , , , A34005 2090 119 recourse recourse NN A34005 2090 120 must must MD A34005 2090 121 be be VB A34005 2090 122 had have VBN A34005 2090 123 to to IN A34005 2090 124 the the DT A34005 2090 125 Opposite Opposite NNP A34005 2090 126 Triangle Triangle NNP A34005 2090 127 , , , A34005 2090 128 if if IN A34005 2090 129 both both DT A34005 2090 130 those those DT A34005 2090 131 Angles angle NNS A34005 2090 132 are be VBP A34005 2090 133 required require VBN A34005 2090 134 to to TO A34005 2090 135 be be VB A34005 2090 136 found find VBN A34005 2090 137 by by IN A34005 2090 138 this this DT A34005 2090 139 Trigonometry Trigonometry NNP A34005 2090 140 , , , A34005 2090 141 otherwise otherwise RB A34005 2090 142 one one CD A34005 2090 143 of of IN A34005 2090 144 them -PRON- PRP A34005 2090 145 , , , A34005 2090 146 and and CC A34005 2090 147 the the DT A34005 2090 148 third third JJ A34005 2090 149 Angle Angle NNP A34005 2090 150 may may MD A34005 2090 151 be be VB A34005 2090 152 found find VBN A34005 2090 153 by by IN A34005 2090 154 those those DT A34005 2090 155 directions direction NNS A34005 2090 156 , , , A34005 2090 157 by by IN A34005 2090 158 letting let VBG A34005 2090 159 fall fall VB A34005 2090 160 the the DT A34005 2090 161 perpendicular perpendicular NN A34005 2090 162 on on IN A34005 2090 163 another another DT A34005 2090 164 side side NN A34005 2090 165 , , , A34005 2090 166 provided provide VBD A34005 2090 167 the the DT A34005 2090 168 sum sum NN A34005 2090 169 of of IN A34005 2090 170 the the DT A34005 2090 171 sides side NNS A34005 2090 172 subtending subtend VBG A34005 2090 173 those those DT A34005 2090 174 Angles angle NNS A34005 2090 175 be be VB A34005 2090 176 not not RB A34005 2090 177 also also RB A34005 2090 178 greater great JJR A34005 2090 179 then then RB A34005 2090 180 a a DT A34005 2090 181 Semicircle Semicircle NNP A34005 2090 182 ; ; : A34005 2090 183 or or CC A34005 2090 184 , , , A34005 2090 185 having have VBG A34005 2090 186 first first RB A34005 2090 187 found find VBN A34005 2090 188 one one CD A34005 2090 189 Angle Angle NNP A34005 2090 190 , , , A34005 2090 191 the the DT A34005 2090 192 rest rest NN A34005 2090 193 may may MD A34005 2090 194 be be VB A34005 2090 195 found find VBN A34005 2090 196 by by IN A34005 2090 197 Proportions Proportions NNP A34005 2090 198 in in IN A34005 2090 199 Sines Sines NNP A34005 2090 200 only only RB A34005 2090 201 . . . A34005 2091 1 IN in IN A34005 2091 2 the the DT A34005 2091 3 Triangle Triangle NNP A34005 2091 4 ☉ ☉ NNP A34005 2091 5 Z Z NNP A34005 2091 6 P P NNP A34005 2091 7 , , , A34005 2091 8 if if IN A34005 2091 9 it -PRON- PRP A34005 2091 10 were be VBD A34005 2091 11 required require VBN A34005 2091 12 to to TO A34005 2091 13 find find VB A34005 2091 14 the the DT A34005 2091 15 angles angle NNS A34005 2091 16 at at IN A34005 2091 17 Z Z NNP A34005 2091 18 and and CC A34005 2091 19 ☉ ☉ NNP A34005 2091 20 , , , A34005 2091 21 because because IN A34005 2091 22 the the DT A34005 2091 23 sum sum NN A34005 2091 24 of of IN A34005 2091 25 the the DT A34005 2091 26 sides side NNS A34005 2091 27 ☉ ☉ NNP A34005 2091 28 P p NN A34005 2091 29 and and CC A34005 2091 30 Z Z NNP A34005 2091 31 P p NN A34005 2091 32 are be VBP A34005 2091 33 less less JJR A34005 2091 34 then then RB A34005 2091 35 a a DT A34005 2091 36 Semicircle Semicircle NNP A34005 2091 37 they -PRON- PRP A34005 2091 38 might may MD A34005 2091 39 be be VB A34005 2091 40 both both DT A34005 2091 41 found find VBN A34005 2091 42 by by IN A34005 2091 43 making make VBG A34005 2091 44 the the DT A34005 2091 45 half half NN A34005 2091 46 of of IN A34005 2091 47 the the DT A34005 2091 48 Base Base NNP A34005 2091 49 ☉ ☉ NNP A34005 2091 50 Z Z NNP A34005 2091 51 the the DT A34005 2091 52 first first JJ A34005 2091 53 Tearm Tearm NNP A34005 2091 54 in in IN A34005 2091 55 the the DT A34005 2091 56 Proportion proportion NN A34005 2091 57 , , , A34005 2091 58 and and CC A34005 2091 59 then then RB A34005 2091 60 because because IN A34005 2091 61 the the DT A34005 2091 62 angles angle NNS A34005 2091 63 ☉ ☉ NNP A34005 2091 64 Z z NN A34005 2091 65 are be VBP A34005 2091 66 of of IN A34005 2091 67 a a DT A34005 2091 68 different different JJ A34005 2091 69 affection affection NN A34005 2091 70 , , , A34005 2091 71 the the DT A34005 2091 72 Perpendicular Perpendicular NNP A34005 2091 73 would would MD A34005 2091 74 fal fal VB A34005 2091 75 without without IN A34005 2091 76 on on IN A34005 2091 77 the the DT A34005 2091 78 side side NN A34005 2091 79 ☉ ☉ NNS A34005 2091 80 Z Z NNP A34005 2091 81 continued continue VBD A34005 2091 82 towards towards IN A34005 2091 83 B b NN A34005 2091 84 , , , A34005 2091 85 as as IN A34005 2091 86 would would MD A34005 2091 87 be be VB A34005 2091 88 evinced evince VBN A34005 2091 89 by by IN A34005 2091 90 the the DT A34005 2091 91 Proportiod Proportiod NNP A34005 2091 92 , , , A34005 2091 93 for for IN A34005 2091 94 the the DT A34005 2091 95 fourth fourth JJ A34005 2091 96 Ark Ark NNP A34005 2091 97 discovered discover VBD A34005 2091 98 , , , A34005 2091 99 would would MD A34005 2091 100 be be VB A34005 2091 101 found find VBN A34005 2091 102 greater great JJR A34005 2091 103 then then RB A34005 2091 104 the the DT A34005 2091 105 half half NN A34005 2091 106 of of IN A34005 2091 107 ☉ ☉ NNP A34005 2091 108 Z Z NNP A34005 2091 109 ; ; : A34005 2091 110 hence hence RB A34005 2091 111 we -PRON- PRP A34005 2091 112 derived derive VBD A34005 2091 113 the the DT A34005 2091 114 Cannon Cannon NNP A34005 2091 115 in in IN A34005 2091 116 page page NN A34005 2091 117 124 124 CD A34005 2091 118 , , , A34005 2091 119 for for IN A34005 2091 120 finding find VBG A34005 2091 121 the the DT A34005 2091 122 Azimuth Azimuth NNP A34005 2091 123 ; ; : A34005 2091 124 Whereby whereby WRB A34005 2091 125 might may MD A34005 2091 126 also also RB A34005 2091 127 be be VB A34005 2091 128 found find VBN A34005 2091 129 the the DT A34005 2091 130 angle angle NN A34005 2091 131 of of IN A34005 2091 132 Position position NN A34005 2091 133 at at IN A34005 2091 134 ☉ ☉ NNP A34005 2091 135 ; ; : A34005 2091 136 so so CC A34005 2091 137 if if IN A34005 2091 138 it -PRON- PRP A34005 2091 139 were be VBD A34005 2091 140 required require VBN A34005 2091 141 to to TO A34005 2091 142 find find VB A34005 2091 143 the the DT A34005 2091 144 angles angle NNS A34005 2091 145 at at IN A34005 2091 146 ☉ ☉ NNS A34005 2091 147 and and CC A34005 2091 148 P p NN A34005 2091 149 , , , A34005 2091 150 the the DT A34005 2091 151 sides side NNS A34005 2091 152 ☉ ☉ NNP A34005 2091 153 Z z NN A34005 2091 154 and and CC A34005 2091 155 Z Z NNP A34005 2091 156 P P NNP A34005 2091 157 being be VBG A34005 2091 158 less less JJR A34005 2091 159 then then RB A34005 2091 160 a a DT A34005 2091 161 Semicircle Semicircle NNP A34005 2091 162 the the DT A34005 2091 163 Perpendicular Perpendicular NNP A34005 2091 164 would would MD A34005 2091 165 fall fall VB A34005 2091 166 within within IN A34005 2091 167 from from IN A34005 2091 168 Z z NN A34005 2091 169 on on IN A34005 2091 170 the the DT A34005 2091 171 side side NN A34005 2091 172 ☉ ☉ NNS A34005 2091 173 P p NN A34005 2091 174 , , , A34005 2091 175 as as IN A34005 2091 176 would would MD A34005 2091 177 also also RB A34005 2091 178 be be VB A34005 2091 179 discovered discover VBN A34005 2091 180 by by IN A34005 2091 181 the the DT A34005 2091 182 Proportion Proportion NNP A34005 2091 183 , , , A34005 2091 184 for for IN A34005 2091 185 the the DT A34005 2091 186 fourth fourth JJ A34005 2091 187 Ark Ark NNP A34005 2091 188 would would MD A34005 2091 189 be be VB A34005 2091 190 found find VBN A34005 2091 191 less less RBR A34005 2091 192 then then RB A34005 2091 193 the the DT A34005 2091 194 half half NN A34005 2091 195 of of IN A34005 2091 196 ☉ ☉ NNP A34005 2091 197 P. P. NNP A34005 2091 198 But but CC A34005 2091 199 if if IN A34005 2091 200 it -PRON- PRP A34005 2091 201 were be VBD A34005 2091 202 required require VBN A34005 2091 203 to to TO A34005 2091 204 find find VB A34005 2091 205 both both CC A34005 2091 206 the the DT A34005 2091 207 angles angle NNS A34005 2091 208 at at IN A34005 2091 209 Z Z NNP A34005 2091 210 and and CC A34005 2091 211 P P NNP A34005 2091 212 , , , A34005 2091 213 in in IN A34005 2091 214 this this DT A34005 2091 215 Case Case NNP A34005 2091 216 we -PRON- PRP A34005 2091 217 must must MD A34005 2091 218 resolve resolve VB A34005 2091 219 the the DT A34005 2091 220 Opposite Opposite NNP A34005 2091 221 Triangle Triangle NNP A34005 2091 222 Z Z NNP A34005 2091 223 B B NNP A34005 2091 224 P p NN A34005 2091 225 , , , A34005 2091 226 because because IN A34005 2091 227 the the DT A34005 2091 228 sum sum NN A34005 2091 229 of of IN A34005 2091 230 the the DT A34005 2091 231 sides side NNS A34005 2091 232 ☉ ☉ NNP A34005 2091 233 Z Z NNP A34005 2091 234 and and CC A34005 2091 235 ☉ ☉ NNP A34005 2091 236 P p NN A34005 2091 237 are be VBP A34005 2091 238 together together RB A34005 2091 239 greater great JJR A34005 2091 240 then then RB A34005 2091 241 a a DT A34005 2091 242 Semicircle Semicircle NNP A34005 2091 243 , , , A34005 2091 244 and and CC A34005 2091 245 this this DT A34005 2091 246 being be VBG A34005 2091 247 the the DT A34005 2091 248 most most RBS A34005 2091 249 difficult difficult JJ A34005 2091 250 Case case NN A34005 2091 251 , , , A34005 2091 252 we -PRON- PRP A34005 2091 253 shall shall MD A34005 2091 254 make make VB A34005 2091 255 our -PRON- PRP$ A34005 2091 256 present present JJ A34005 2091 257 Example example NN A34005 2091 258 . . . A34005 2092 1 The the DT A34005 2092 2 Proportion proportion NN A34005 2092 3 will will MD A34005 2092 4 be be VB A34005 2092 5 , , , A34005 2092 6 As as IN A34005 2092 7 the the DT A34005 2092 8 Tangent Tangent NNP A34005 2092 9 of of IN A34005 2092 10 half half JJ A34005 2092 11 Z z NN A34005 2092 12 P p NN A34005 2092 13 , , , A34005 2092 14 Is be VBZ A34005 2092 15 to to IN A34005 2092 16 the the DT A34005 2092 17 Tangent tangent NN A34005 2092 18 of of IN A34005 2092 19 the the DT A34005 2092 20 half half JJ A34005 2092 21 sum sum NN A34005 2092 22 of of IN A34005 2092 23 Z z NN A34005 2092 24 B B NNP A34005 2092 25 and and CC A34005 2092 26 P P NNP A34005 2092 27 B b NN A34005 2092 28 : : : A34005 2092 29 So so RB A34005 2092 30 is be VBZ A34005 2092 31 the the DT A34005 2092 32 Tangent Tangent NNP A34005 2092 33 of of IN A34005 2092 34 half half PDT A34005 2092 35 their -PRON- PRP$ A34005 2092 36 difference difference NN A34005 2092 37 , , , A34005 2092 38 To to IN A34005 2092 39 a a DT A34005 2092 40 fourth fourth JJ A34005 2092 41 Tangent tangent NN A34005 2092 42 . . . A34005 2093 1 That that RB A34005 2093 2 is is RB A34005 2093 3 , , , A34005 2093 4 As as IN A34005 2093 5 Tangent Tangent NNP A34005 2093 6 19d 19d CD A34005 2093 7 14′ 14′ CD A34005 2093 8 , , , A34005 2093 9 Is be VBZ A34005 2093 10 to to IN A34005 2093 11 the the DT A34005 2093 12 Tangent Tangent NNP A34005 2093 13 of of IN A34005 2093 14 86d 86d CD A34005 2093 15 30′ 30′ CD A34005 2093 16 , , , A34005 2093 17 : : : A34005 2093 18 So so RB A34005 2093 19 is be VBZ A34005 2093 20 the the DT A34005 2093 21 Tangent Tangent NNP A34005 2093 22 of of IN A34005 2093 23 9d 9d NN A34005 2093 24 30′ 30′ CD A34005 2093 25 , , , A34005 2093 26 To to IN A34005 2093 27 a a DT A34005 2093 28 fourth fourth JJ A34005 2093 29 . . . A34005 2094 1 Operation operation NN A34005 2094 2 . . . A34005 2095 1 Extend extend VB A34005 2095 2 the the DT A34005 2095 3 Thread thread NN A34005 2095 4 through through IN A34005 2095 5 19 19 CD A34005 2095 6 d d CD A34005 2095 7 14′ 14′ CD A34005 2095 8 on on IN A34005 2095 9 the the DT A34005 2095 10 Semicircle Semicircle NNP A34005 2095 11 , , , A34005 2095 12 and and CC A34005 2095 13 9 9 CD A34005 2095 14 d d CD A34005 2095 15 30′ 30′ CD A34005 2095 16 on on IN A34005 2095 17 the the DT A34005 2095 18 Diameter Diameter NNP A34005 2095 19 , , , A34005 2095 20 and and CC A34005 2095 21 hold hold VB A34005 2095 22 it -PRON- PRP A34005 2095 23 at at IN A34005 2095 24 the the DT A34005 2095 25 Intersection intersection NN A34005 2095 26 on on IN A34005 2095 27 the the DT A34005 2095 28 opposite opposite JJ A34005 2095 29 side side NN A34005 2095 30 the the DT A34005 2095 31 Semicircle Semicircle NNP A34005 2095 32 , , , A34005 2095 33 then then RB A34005 2095 34 lay lie VBD A34005 2095 35 the the DT A34005 2095 36 Thread Thread NNP A34005 2095 37 to to IN A34005 2095 38 86 86 CD A34005 2095 39 d d CD A34005 2095 40 30′ 30′ CD A34005 2095 41 in in IN A34005 2095 42 the the DT A34005 2095 43 Semicircle Semicircle NNP A34005 2095 44 , , , A34005 2095 45 and and CC A34005 2095 46 it -PRON- PRP A34005 2095 47 shews shew VBZ A34005 2095 48 82 82 CD A34005 2095 49 d d SYM A34005 2095 50 44′ 44′ CD A34005 2095 51 on on IN A34005 2095 52 the the DT A34005 2095 53 Diameter Diameter NNP A34005 2095 54 for for IN A34005 2095 55 the the DT A34005 2095 56 fourth fourth JJ A34005 2095 57 Ark Ark NNP A34005 2095 58 sought seek VBD A34005 2095 59 . . . A34005 2096 1 Because because IN A34005 2096 2 this this DT A34005 2096 3 Ark Ark NNP A34005 2096 4 is be VBZ A34005 2096 5 greater great JJR A34005 2096 6 then then RB A34005 2096 7 the the DT A34005 2096 8 half half NN A34005 2096 9 of of IN A34005 2096 10 Z z NN A34005 2096 11 P p NN A34005 2096 12 , , , A34005 2096 13 we -PRON- PRP A34005 2096 14 may may MD A34005 2096 15 conclude conclude VB A34005 2096 16 that that IN A34005 2096 17 the the DT A34005 2096 18 Perpendicular Perpendicular NNP A34005 2096 19 B B NNP A34005 2096 20 A A NNP A34005 2096 21 falls fall VBZ A34005 2096 22 without without IN A34005 2096 23 on on IN A34005 2096 24 the the DT A34005 2096 25 side side NN A34005 2096 26 Z Z NNP A34005 2096 27 P P NNP A34005 2096 28 continued continue VBD A34005 2096 29 to to TO A34005 2096 30 A. a. VB A34005 2096 31 fourth fourth JJ A34005 2096 32 Ark Ark NNP A34005 2096 33 — — : A34005 2096 34 82d 82d NNS A34005 2096 35 44′ 44′ CD A34005 2096 36 half half NN A34005 2096 37 of of IN A34005 2096 38 Z z NN A34005 2096 39 P p NN A34005 2096 40 is be VBZ A34005 2096 41 — — : A34005 2096 42 19 19 CD A34005 2096 43 14 14 CD A34005 2096 44 sum sum NN A34005 2096 45 — — : A34005 2096 46 101 101 CD A34005 2096 47 58 58 CD A34005 2096 48 is be VBZ A34005 2096 49 Z z NN A34005 2096 50 A a DT A34005 2096 51 difference difference NN A34005 2096 52 — — : A34005 2096 53 63 63 CD A34005 2096 54 30 30 CD A34005 2096 55 is be VBZ A34005 2096 56 P p NN A34005 2096 57 A A NNP A34005 2096 58 Then then RB A34005 2096 59 in in IN A34005 2096 60 the the DT A34005 2096 61 right right NN A34005 2096 62 angled angle VBN A34005 2096 63 Triangle Triangle NNP A34005 2096 64 B B NNP A34005 2096 65 P P NNP A34005 2096 66 A A NNP A34005 2096 67 , , , A34005 2096 68 right right RB A34005 2096 69 angled angle VBN A34005 2096 70 at at IN A34005 2096 71 , , , A34005 2096 72 A a DT A34005 2096 73 we -PRON- PRP A34005 2096 74 have have VBP A34005 2096 75 P p NN A34005 2096 76 A a NN A34005 2096 77 and and CC A34005 2096 78 B b NN A34005 2096 79 P p NN A34005 2096 80 the the DT A34005 2096 81 Hypotenusal Hypotenusal NNP A34005 2096 82 , , , A34005 2096 83 to to TO A34005 2096 84 , , , A34005 2096 85 find find VB A34005 2096 86 the the DT A34005 2096 87 angle angle NN A34005 2096 88 B B NNP A34005 2096 89 P p NN A34005 2096 90 A A NNP A34005 2096 91 , , , A34005 2096 92 equal equal JJ A34005 2096 93 to to IN A34005 2096 94 the the DT A34005 2096 95 angle angle NN A34005 2096 96 ☉ ☉ NNPS A34005 2096 97 Z Z NNP A34005 2096 98 P. P. NNP A34005 2096 99 The the DT A34005 2096 100 Proportion Proportion NNP A34005 2096 101 is be VBZ A34005 2096 102 As as IN A34005 2096 103 the the DT A34005 2096 104 Radius Radius NNP A34005 2096 105 , , , A34005 2096 106 Is be VBZ A34005 2096 107 to to IN A34005 2096 108 the the DT A34005 2096 109 Tangent Tangent NNP A34005 2096 110 of of IN A34005 2096 111 13d 13d CD A34005 2096 112 , , , A34005 2096 113 the the DT A34005 2096 114 Complement Complement NNP A34005 2096 115 of of IN A34005 2096 116 B B NNP A34005 2096 117 P p NN A34005 2096 118 : : : A34005 2096 119 So so RB A34005 2096 120 is be VBZ A34005 2096 121 the the DT A34005 2096 122 Tangent Tangent NNP A34005 2096 123 of of IN A34005 2096 124 P P NNP A34005 2096 125 A A NNP A34005 2096 126 63d 63d NNS A34005 2096 127 30′ 30′ CD A34005 2096 128 , , , A34005 2096 129 To to IN A34005 2096 130 the the DT A34005 2096 131 Cosine Cosine NNP A34005 2096 132 of of IN A34005 2096 133 the the DT A34005 2096 134 angle angle NN A34005 2096 135 at at IN A34005 2096 136 P. P. NNP A34005 2096 137 Extend Extend NNP A34005 2096 138 the the DT A34005 2096 139 Thread thread NN A34005 2096 140 through through IN A34005 2096 141 13 13 CD A34005 2096 142 d d NN A34005 2096 143 on on IN A34005 2096 144 the the DT A34005 2096 145 Diameter Diameter NNP A34005 2096 146 , , , A34005 2096 147 and and CC A34005 2096 148 through through IN A34005 2096 149 63 63 CD A34005 2096 150 d d CD A34005 2096 151 30′ 30′ CD A34005 2096 152 in in IN A34005 2096 153 the the DT A34005 2096 154 Semicircle Semicircle NNP A34005 2096 155 counted count VBN A34005 2096 156 from from IN A34005 2096 157 the the DT A34005 2096 158 other other JJ A34005 2096 159 end end NN A34005 2096 160 , , , A34005 2096 161 and and CC A34005 2096 162 in in IN A34005 2096 163 the the DT A34005 2096 164 upper upper JJ A34005 2096 165 Quadrant Quadrant NNP A34005 2096 166 , , , A34005 2096 167 it -PRON- PRP A34005 2096 168 shews shew VBZ A34005 2096 169 27 27 CD A34005 2096 170 d d NN A34005 2096 171 35′ 35′ CD A34005 2096 172 for for IN A34005 2096 173 the the DT A34005 2096 174 Complement Complement NNP A34005 2096 175 of of IN A34005 2096 176 the the DT A34005 2096 177 angle angle NN A34005 2096 178 sought seek VBN A34005 2096 179 . . . A34005 2097 1 And and CC A34005 2097 2 letting let VBG A34005 2097 3 this this DT A34005 2097 4 Example example NN A34005 2097 5 be be VB A34005 2097 6 to to TO A34005 2097 7 find find VB A34005 2097 8 the the DT A34005 2097 9 Hour Hour NNP A34005 2097 10 and and CC A34005 2097 11 Azimuth Azimuth NNP A34005 2097 12 in in IN A34005 2097 13 our -PRON- PRP$ A34005 2097 14 Latitude Latitude NNP A34005 2097 15 of of IN A34005 2097 16 London London NNP A34005 2097 17 , , , A34005 2097 18 so so RB A34005 2097 19 much much JJ A34005 2097 20 is be VBZ A34005 2097 21 the the DT A34005 2097 22 hour hour NN A34005 2097 23 from from IN A34005 2097 24 six six CD A34005 2097 25 in in IN A34005 2097 26 Winter Winter NNP A34005 2097 27 when when WRB A34005 2097 28 the the DT A34005 2097 29 Sun Sun NNP A34005 2097 30 hath hath NNP A34005 2097 31 13 13 CD A34005 2097 32 d d NN A34005 2097 33 of of IN A34005 2097 34 South South NNP A34005 2097 35 Declination Declination NNP A34005 2097 36 , , , A34005 2097 37 and and CC A34005 2097 38 6 6 CD A34005 2097 39 d d NN A34005 2097 40 of of IN A34005 2097 41 Altitude Altitude NNP A34005 2097 42 , , , A34005 2097 43 in in IN A34005 2097 44 time time NN A34005 2097 45 1 1 CD A34005 2097 46 ho ho IN A34005 2097 47 50⅓ 50⅓ CD A34005 2097 48 minutes minute NNS A34005 2097 49 past past RB A34005 2097 50 six six CD A34005 2097 51 in in IN A34005 2097 52 the the DT A34005 2097 53 morning morning NN A34005 2097 54 , , , A34005 2097 55 or or CC A34005 2097 56 as as RB A34005 2097 57 much much JJ A34005 2097 58 before before IN A34005 2097 59 it -PRON- PRP A34005 2097 60 in in IN A34005 2097 61 the the DT A34005 2097 62 afternoon afternoon NN A34005 2097 63 . . . A34005 2098 1 To to TO A34005 2098 2 find find VB A34005 2098 3 the the DT A34005 2098 4 Azimuth Azimuth NNP A34005 2098 5 . . . A34005 2099 1 Again again RB A34005 2099 2 , , , A34005 2099 3 in in IN A34005 2099 4 the the DT A34005 2099 5 Triangle Triangle NNP A34005 2099 6 Z Z NNP A34005 2099 7 A A NNP A34005 2099 8 B b NN A34005 2099 9 right right NN A34005 2099 10 angled angle VBD A34005 2099 11 at at IN A34005 2099 12 A A NNP A34005 2099 13 , , , A34005 2099 14 there there EX A34005 2099 15 is be VBZ A34005 2099 16 given give VBN A34005 2099 17 the the DT A34005 2099 18 Leg Leg NNP A34005 2099 19 or or CC A34005 2099 20 Side Side NNP A34005 2099 21 Z Z NNP A34005 2099 22 A A NNP A34005 2099 23 101 101 CD A34005 2099 24 d d NNP A34005 2099 25 58′ 58′ CD A34005 2099 26 , , , A34005 2099 27 and and CC A34005 2099 28 the the DT A34005 2099 29 Hipotenusal Hipotenusal NNP A34005 2099 30 Z Z NNP A34005 2099 31 B B NNP A34005 2099 32 96 96 CD A34005 2099 33 d d NN A34005 2099 34 , , , A34005 2099 35 to to TO A34005 2099 36 find find VB A34005 2099 37 the the DT A34005 2099 38 angle angle NN A34005 2099 39 B b NN A34005 2099 40 Z Z NNP A34005 2099 41 P P NNP A34005 2099 42 ; ; : A34005 2099 43 here here RB A34005 2099 44 noting note VBG A34005 2099 45 that that IN A34005 2099 46 the the DT A34005 2099 47 Cosine Cosine NNP A34005 2099 48 or or CC A34005 2099 49 Cotangent Cotangent NNP A34005 2099 50 of of IN A34005 2099 51 an an DT A34005 2099 52 Ark Ark NNP A34005 2099 53 greater great JJR A34005 2099 54 then then RB A34005 2099 55 a a DT A34005 2099 56 Quadrant Quadrant NNP A34005 2099 57 is be VBZ A34005 2099 58 the the DT A34005 2099 59 Sine Sine NNP A34005 2099 60 or or CC A34005 2099 61 Tangent Tangent NNP A34005 2099 62 of of IN A34005 2099 63 that that DT A34005 2099 64 Arks Arks NNP A34005 2099 65 excess excess NN A34005 2099 66 above above IN A34005 2099 67 90 90 CD A34005 2099 68 d d NN A34005 2099 69 , , , A34005 2099 70 and and CC A34005 2099 71 the the DT A34005 2099 72 Sine Sine NNP A34005 2099 73 or or CC A34005 2099 74 Tangent Tangent NNP A34005 2099 75 of of IN A34005 2099 76 an an DT A34005 2099 77 Ark Ark NNP A34005 2099 78 greater great JJR A34005 2099 79 then then RB A34005 2099 80 a a DT A34005 2099 81 Quadrant Quadrant NNP A34005 2099 82 , , , A34005 2099 83 the the DT A34005 2099 84 Sine Sine NNP A34005 2099 85 or or CC A34005 2099 86 Tangent Tangent NNP A34005 2099 87 of of IN A34005 2099 88 that that DT A34005 2099 89 Arks Arks NNP A34005 2099 90 Complement Complement NNP A34005 2099 91 to to IN A34005 2099 92 180 180 CD A34005 2099 93 d d NNS A34005 2099 94 , , , A34005 2099 95 it -PRON- PRP A34005 2099 96 will will MD A34005 2099 97 hold hold VB A34005 2099 98 , , , A34005 2099 99 As as IN A34005 2099 100 the the DT A34005 2099 101 Radius Radius NNP A34005 2099 102 , , , A34005 2099 103 To to IN A34005 2099 104 the the DT A34005 2099 105 Tangent Tangent NNP A34005 2099 106 of of IN A34005 2099 107 6d 6d NNP A34005 2099 108 : : : A34005 2099 109 So so RB A34005 2099 110 is be VBZ A34005 2099 111 the the DT A34005 2099 112 Tangent Tangent NNP A34005 2099 113 78d 78d NNS A34005 2099 114 2′ 2′ CD A34005 2099 115 , , , A34005 2099 116 To to IN A34005 2099 117 the the DT A34005 2099 118 Sine Sine NNP A34005 2099 119 of of IN A34005 2099 120 29 29 CD A34005 2099 121 d d NN A34005 2099 122 44′ 44′ CD A34005 2099 123 , , , A34005 2099 124 found find VBN A34005 2099 125 by by IN A34005 2099 126 extending extend VBG A34005 2099 127 the the DT A34005 2099 128 Thread Thread NNP A34005 2099 129 through through IN A34005 2099 130 78 78 CD A34005 2099 131 d d CD A34005 2099 132 2′ 2′ CD A34005 2099 133 on on IN A34005 2099 134 the the DT A34005 2099 135 Semicircle Semicircle NNP A34005 2099 136 , , , A34005 2099 137 counted count VBN A34005 2099 138 from from IN A34005 2099 139 the the DT A34005 2099 140 other other JJ A34005 2099 141 end end NN A34005 2099 142 , , , A34005 2099 143 alias alias NNP A34005 2099 144 , , , A34005 2099 145 in in IN A34005 2099 146 the the DT A34005 2099 147 small small JJ A34005 2099 148 figures figure NNS A34005 2099 149 , , , A34005 2099 150 and and CC A34005 2099 151 in in IN A34005 2099 152 the the DT A34005 2099 153 Quadaant quadaant NN A34005 2099 154 it -PRON- PRP A34005 2099 155 will will MD A34005 2099 156 intersect intersect VB A34005 2099 157 29 29 CD A34005 2099 158 d d NN A34005 2099 159 44′ 44′ CD A34005 2099 160 ; ; : A34005 2099 161 now now RB A34005 2099 162 by by IN A34005 2099 163 the the DT A34005 2099 164 second second JJ A34005 2099 165 Case Case NNP A34005 2099 166 of of IN A34005 2099 167 right right RB A34005 2099 168 angled angle VBN A34005 2099 169 Sphoerical Sphoerical NNP A34005 2099 170 Triangles Triangles NNPS A34005 2099 171 , , , A34005 2099 172 the the DT A34005 2099 173 angle angle NN A34005 2099 174 A a NN A34005 2099 175 Z z NN A34005 2099 176 B b NN A34005 2099 177 will will MD A34005 2099 178 be be VB A34005 2099 179 Acute acute JJ A34005 2099 180 , , , A34005 2099 181 wherefore wherefore VBD A34005 2099 182 the the DT A34005 2099 183 angle angle NN A34005 2099 184 ☉ ☉ NNPS A34005 2099 185 Z Z NNP A34005 2099 186 B B NNP A34005 2099 187 is be VBZ A34005 2099 188 119 119 CD A34005 2099 189 d d NN A34005 2099 190 44′ 44′ CD A34005 2099 191 the the DT A34005 2099 192 Suns Suns NNPS A34005 2099 193 Azimuth Azimuth NNP A34005 2099 194 from from IN A34005 2099 195 the the DT A34005 2099 196 North North NNP A34005 2099 197 , , , A34005 2099 198 the the DT A34005 2099 199 Complement Complement NNP A34005 2099 200 being be VBG A34005 2099 201 60 60 CD A34005 2099 202 d d NN A34005 2099 203 16′ 16′ CD A34005 2099 204 is be VBZ A34005 2099 205 the the DT A34005 2099 206 angle angle NN A34005 2099 207 A a DT A34005 2099 208 Z z NN A34005 2099 209 B b NN A34005 2099 210 , , , A34005 2099 211 and and CC A34005 2099 212 so so RB A34005 2099 213 much much JJ A34005 2099 214 is be VBZ A34005 2099 215 the the DT A34005 2099 216 Azimuth Azimuth NNP A34005 2099 217 from from IN A34005 2099 218 the the DT A34005 2099 219 South South NNP A34005 2099 220 . . . A34005 2100 1 To to TO A34005 2100 2 work work VB A34005 2100 3 Proportions Proportions NNP A34005 2100 4 in in IN A34005 2100 5 Sines Sines NNPS A34005 2100 6 alone alone JJ A34005 2100 7 . . . A34005 2101 1 THat that IN A34005 2101 2 this this DT A34005 2101 3 Circle Circle NNP A34005 2101 4 might may MD A34005 2101 5 be be VB A34005 2101 6 capacitated capacitate VBN A34005 2101 7 to to TO A34005 2101 8 try try VB A34005 2101 9 any any DT A34005 2101 10 Case Case NNP A34005 2101 11 of of IN A34005 2101 12 Sphoerical sphoerical JJ A34005 2101 13 Triangles Triangles NNPS A34005 2101 14 , , , A34005 2101 15 there there EX A34005 2101 16 are be VBP A34005 2101 17 added add VBN A34005 2101 18 Lines line NNS A34005 2101 19 to to IN A34005 2101 20 it -PRON- PRP A34005 2101 21 , , , A34005 2101 22 namely namely RB A34005 2101 23 , , , A34005 2101 24 the the DT A34005 2101 25 Line Line NNP A34005 2101 26 Sol Sol NNP A34005 2101 27 falling fall VBG A34005 2101 28 perpendicularly perpendicularly RB A34005 2101 29 on on IN A34005 2101 30 the the DT A34005 2101 31 Diameter Diameter NNP A34005 2101 32 from from IN A34005 2101 33 the the DT A34005 2101 34 end end NN A34005 2101 35 of of IN A34005 2101 36 the the DT A34005 2101 37 Quadrant Quadrant NNP A34005 2101 38 of of IN A34005 2101 39 Latitudes Latitudes NNP A34005 2101 40 , , , A34005 2101 41 whereto whereto NN A34005 2101 42 belongs belong VBZ A34005 2101 43 the the DT A34005 2101 44 two two CD A34005 2101 45 Parrallel Parrallel NNP A34005 2101 46 Lines Lines NNPS A34005 2101 47 of of IN A34005 2101 48 Sines Sines NNPS A34005 2101 49 in in IN A34005 2101 50 the the DT A34005 2101 51 opposite opposite JJ A34005 2101 52 Quadrants Quadrants NNPS A34005 2101 53 , , , A34005 2101 54 the the DT A34005 2101 55 upermost upermost NN A34005 2101 56 being be VBG A34005 2101 57 extended extend VBN A34005 2101 58 cross cross NN A34005 2101 59 the the DT A34005 2101 60 Quadrant Quadrant NNP A34005 2101 61 of of IN A34005 2101 62 Latitudes Latitudes NNP A34005 2101 63 . . . A34005 2102 1 The the DT A34005 2102 2 Proportion Proportion NNP A34005 2102 3 not not RB A34005 2102 4 having have VBG A34005 2102 5 the the DT A34005 2102 6 Radius Radius NNP A34005 2102 7 ingredient ingredient NN A34005 2102 8 , , , A34005 2102 9 and and CC A34005 2102 10 being be VBG A34005 2102 11 of of IN A34005 2102 12 the the DT A34005 2102 13 greater great JJR A34005 2102 14 to to IN A34005 2102 15 the the DT A34005 2102 16 less less JJR A34005 2102 17 . . . A34005 2103 1 Account account VB A34005 2103 2 the the DT A34005 2103 3 first first JJ A34005 2103 4 Tearm Tearm NNP A34005 2103 5 in in IN A34005 2103 6 the the DT A34005 2103 7 line line NN A34005 2103 8 Sol Sol NNP A34005 2103 9 , , , A34005 2103 10 and and CC A34005 2103 11 the the DT A34005 2103 12 second second JJ A34005 2103 13 in in IN A34005 2103 14 the the DT A34005 2103 15 upper upper JJ A34005 2103 16 Sine Sine NNP A34005 2103 17 extending extend VBG A34005 2103 18 the the DT A34005 2103 19 Thread thread NN A34005 2103 20 through through IN A34005 2103 21 them -PRON- PRP A34005 2103 22 , , , A34005 2103 23 and and CC A34005 2103 24 where where WRB A34005 2103 25 it -PRON- PRP A34005 2103 26 intersects intersect VBZ A34005 2103 27 the the DT A34005 2103 28 opposite opposite JJ A34005 2103 29 Parrallel Parrallel NNP A34005 2103 30 hold hold VB A34005 2103 31 it -PRON- PRP A34005 2103 32 ; ; : A34005 2103 33 then then RB A34005 2103 34 lay lay VB A34005 2103 35 the the DT A34005 2103 36 Thread thread NN A34005 2103 37 to to IN A34005 2103 38 the the DT A34005 2103 39 third third JJ A34005 2103 40 Tearm Tearm NNP A34005 2103 41 in in IN A34005 2103 42 the the DT A34005 2103 43 line line NN A34005 2103 44 Sol Sol NNP A34005 2103 45 , , , A34005 2103 46 and and CC A34005 2103 47 it -PRON- PRP A34005 2103 48 will will MD A34005 2103 49 intersect intersect VB A34005 2103 50 the the DT A34005 2103 51 fourth fourth JJ A34005 2103 52 Proportional Proportional NNP A34005 2103 53 on on IN A34005 2103 54 the the DT A34005 2103 55 upper upper JJ A34005 2103 56 Parrallel Parrallel NNP A34005 2103 57 . . . A34005 2104 1 As as IN A34005 2104 2 the the DT A34005 2104 3 Sine Sine NNP A34005 2104 4 of of IN A34005 2104 5 30d 30d NNS A34005 2104 6 , , , A34005 2104 7 To to IN A34005 2104 8 the the DT A34005 2104 9 sine sine NN A34005 2104 10 of of IN A34005 2104 11 any any DT A34005 2104 12 Arch Arch NNP A34005 2104 13 : : : A34005 2104 14 So so RB A34005 2104 15 is be VBZ A34005 2104 16 the the DT A34005 2104 17 Cosine Cosine NNP A34005 2104 18 of of IN A34005 2104 19 that that DT A34005 2104 20 Arch Arch NNP A34005 2104 21 , , , A34005 2104 22 To to IN A34005 2104 23 the the DT A34005 2104 24 sine sine NN A34005 2104 25 of of IN A34005 2104 26 the the DT A34005 2104 27 double double JJ A34005 2104 28 Arch Arch NNP A34005 2104 29 and and CC A34005 2104 30 the the DT A34005 2104 31 Converse Converse NNP A34005 2104 32 . . . A34005 2105 1 By by IN A34005 2105 2 trying try VBG A34005 2105 3 this this DT A34005 2105 4 Canon Canon NNP A34005 2105 5 , , , A34005 2105 6 the the DT A34005 2105 7 use use NN A34005 2105 8 of of IN A34005 2105 9 these these DT A34005 2105 10 Lines line NNS A34005 2105 11 will will MD A34005 2105 12 be be VB A34005 2105 13 suddenly suddenly RB A34005 2105 14 attained attain VBN A34005 2105 15 . . . A34005 2106 1 Example example NN A34005 2106 2 . . . A34005 2107 1 As as IN A34005 2107 2 the the DT A34005 2107 3 sine sine NN A34005 2107 4 of of IN A34005 2107 5 30d 30d NNS A34005 2107 6 , , , A34005 2107 7 To to IN A34005 2107 8 the the DT A34005 2107 9 sine sine NN A34005 2107 10 of of IN A34005 2107 11 20d 20d NNS A34005 2107 12 : : : A34005 2107 13 So so RB A34005 2107 14 is be VBZ A34005 2107 15 the the DT A34005 2107 16 sine sine NN A34005 2107 17 of of IN A34005 2107 18 70d 70d NNPS A34005 2107 19 , , , A34005 2107 20 To to IN A34005 2107 21 the the DT A34005 2107 22 sine sine NN A34005 2107 23 of of IN A34005 2107 24 40d 40d NNS A34005 2107 25 . . . A34005 2108 1 But but CC A34005 2108 2 if if IN A34005 2108 3 it -PRON- PRP A34005 2108 4 be be VBP A34005 2108 5 of of IN A34005 2108 6 the the DT A34005 2108 7 less less JJR A34005 2108 8 to to IN A34005 2108 9 the the DT A34005 2108 10 greater great JJR A34005 2108 11 , , , A34005 2108 12 the the DT A34005 2108 13 answer answer NN A34005 2108 14 must must MD A34005 2108 15 be be VB A34005 2108 16 found find VBN A34005 2108 17 on on IN A34005 2108 18 the the DT A34005 2108 19 Line Line NNP A34005 2108 20 Sol Sol NNP A34005 2108 21 . . . A34005 2109 1 Account account VB A34005 2109 2 the the DT A34005 2109 3 first first JJ A34005 2109 4 Tearm Tearm NNP A34005 2109 5 on on IN A34005 2109 6 the the DT A34005 2109 7 upper upper JJ A34005 2109 8 Sine Sine NNP A34005 2109 9 , , , A34005 2109 10 and and CC A34005 2109 11 the the DT A34005 2109 12 second second JJ A34005 2109 13 in in IN A34005 2109 14 the the DT A34005 2109 15 Line Line NNP A34005 2109 16 Sol Sol NNP A34005 2109 17 , , , A34005 2109 18 and and CC A34005 2109 19 hold hold VB A34005 2109 20 the the DT A34005 2109 21 Thread thread NN A34005 2109 22 at at IN A34005 2109 23 the the DT A34005 2109 24 Intersection intersection NN A34005 2109 25 of of IN A34005 2109 26 the the DT A34005 2109 27 opposite opposite JJ A34005 2109 28 Parrallel Parrallel NNP A34005 2109 29 , , , A34005 2109 30 then then RB A34005 2109 31 lay lay VB A34005 2109 32 the the DT A34005 2109 33 Thread thread NN A34005 2109 34 to to IN A34005 2109 35 the the DT A34005 2109 36 third third JJ A34005 2109 37 Tearm Tearm NNP A34005 2109 38 on on IN A34005 2109 39 the the DT A34005 2109 40 uper uper JJ A34005 2109 41 Parrallel Parrallel NNP A34005 2109 42 , , , A34005 2109 43 and and CC A34005 2109 44 on on IN A34005 2109 45 the the DT A34005 2109 46 line line NN A34005 2109 47 Sol Sol NNP A34005 2109 48 it -PRON- PRP A34005 2109 49 will will MD A34005 2109 50 intersect intersect VB A34005 2109 51 the the DT A34005 2109 52 fourth fourth JJ A34005 2109 53 Proportional Proportional NNP A34005 2109 54 if if IN A34005 2109 55 it -PRON- PRP A34005 2109 56 be be VBP A34005 2109 57 less less JJR A34005 2109 58 then then RB A34005 2109 59 the the DT A34005 2109 60 Radius Radius NNP A34005 2109 61 . . . A34005 2110 1 But but CC A34005 2110 2 Proportions Proportions NNP A34005 2110 3 having have VBG A34005 2110 4 the the DT A34005 2110 5 Radius Radius NNP A34005 2110 6 ingredient ingredient NN A34005 2110 7 , , , A34005 2110 8 will will MD A34005 2110 9 be be VB A34005 2110 10 wrought work VBN A34005 2110 11 without without IN A34005 2110 12 any any DT A34005 2110 13 Motion Motion NNP A34005 2110 14 of of IN A34005 2110 15 the the DT A34005 2110 16 Thread thread NN A34005 2110 17 . . . A34005 2111 1 As as IN A34005 2111 2 the the DT A34005 2111 3 Cosine Cosine NNP A34005 2111 4 of of IN A34005 2111 5 the the DT A34005 2111 6 Latitude Latitude NNP A34005 2111 7 , , , A34005 2111 8 To to IN A34005 2111 9 Radius Radius NNP A34005 2111 10 : : : A34005 2111 11 So so RB A34005 2111 12 is be VBZ A34005 2111 13 the the DT A34005 2111 14 sine sine NN A34005 2111 15 of of IN A34005 2111 16 the the DT A34005 2111 17 Declination Declination NNP A34005 2111 18 , , , A34005 2111 19 To to IN A34005 2111 20 the the DT A34005 2111 21 sine sine NN A34005 2111 22 of of IN A34005 2111 23 the the DT A34005 2111 24 Amplitude Amplitude NNP A34005 2111 25 . . . A34005 2112 1 So so RB A34005 2112 2 in in IN A34005 2112 3 our -PRON- PRP$ A34005 2112 4 Latitude Latitude NNP A34005 2112 5 of of IN A34005 2112 6 London London NNP A34005 2112 7 , , , A34005 2112 8 when when WRB A34005 2112 9 the the DT A34005 2112 10 Declination Declination NNP A34005 2112 11 is be VBZ A34005 2112 12 20d 20d NNS A34005 2112 13 12′ 12′ CD A34005 2112 14 the the DT A34005 2112 15 Amplitude Amplitude NNP A34005 2112 16 will will MD A34005 2112 17 be be VB A34005 2112 18 found find VBN A34005 2112 19 to to TO A34005 2112 20 be be VB A34005 2112 21 33d 33d NNS A34005 2112 22 42′ 42′ CD A34005 2112 23 . . . A34005 2113 1 Extend extend VB A34005 2113 2 the the DT A34005 2113 3 Thread thread NN A34005 2113 4 through through IN A34005 2113 5 38 38 CD A34005 2113 6 d d CD A34005 2113 7 28′ 28′ CD A34005 2113 8 on on IN A34005 2113 9 the the DT A34005 2113 10 line line NN A34005 2113 11 Sol Sol NNP A34005 2113 12 . . . A34005 2114 1 and and CC A34005 2114 2 through through IN A34005 2114 3 the the DT A34005 2114 4 Declination declination NN A34005 2114 5 in in IN A34005 2114 6 the the DT A34005 2114 7 upper upper JJ A34005 2114 8 Sine Sine NNP A34005 2114 9 , , , A34005 2114 10 and and CC A34005 2114 11 it -PRON- PRP A34005 2114 12 will will MD A34005 2114 13 intersect intersect VB A34005 2114 14 the the DT A34005 2114 15 opposite opposite JJ A34005 2114 16 Parrallel Parrallel NNP A34005 2114 17 Sine Sine NNP A34005 2114 18 at at IN A34005 2114 19 33 33 CD A34005 2114 20 d d NN A34005 2114 21 42′ 42′ CD A34005 2114 22 , , , A34005 2114 23 the the DT A34005 2114 24 Amplitude Amplitude NNP A34005 2114 25 sought seek VBD A34005 2114 26 . . . A34005 2115 1 The the DT A34005 2115 2 use use NN A34005 2115 3 of of IN A34005 2115 4 the the DT A34005 2115 5 Semi Semi NNP A34005 2115 6 - - NNP A34005 2115 7 Tangent Tangent NNP A34005 2115 8 and and CC A34005 2115 9 Chords Chords NNPS A34005 2115 10 are be VBP A34005 2115 11 passed pass VBN A34005 2115 12 by by RP A34005 2115 13 at at IN A34005 2115 14 present present NN A34005 2115 15 . . . A34005 2116 1 The the DT A34005 2116 2 line line NN A34005 2116 3 Sol Sol NNP A34005 2116 4 is be VBZ A34005 2116 5 of of IN A34005 2116 6 use use NN A34005 2116 7 in in IN A34005 2116 8 Dyalling Dyalling NNP A34005 2116 9 , , , A34005 2116 10 as as IN A34005 2116 11 in in IN A34005 2116 12 Mr Mr NNP A34005 2116 13 Fosters Fosters NNP A34005 2116 14 Posthuma Posthuma NNP A34005 2116 15 , , , A34005 2116 16 page page NN A34005 2116 17 70 70 CD A34005 2116 18 and and CC A34005 2116 19 71 71 CD A34005 2116 20 , , , A34005 2116 21 where where WRB A34005 2116 22 it -PRON- PRP A34005 2116 23 is be VBZ A34005 2116 24 required require VBN A34005 2116 25 to to TO A34005 2116 26 divide divide VB A34005 2116 27 a a DT A34005 2116 28 Circle Circle NNP A34005 2116 29 into into IN A34005 2116 30 12 12 CD A34005 2116 31 equal equal JJ A34005 2116 32 parts part NNS A34005 2116 33 for for IN A34005 2116 34 the the DT A34005 2116 35 hours hour NNS A34005 2116 36 , , , A34005 2116 37 and and CC A34005 2116 38 each each DT A34005 2116 39 part part NN A34005 2116 40 into into IN A34005 2116 41 4 4 CD A34005 2116 42 subdivisions subdivision NNS A34005 2116 43 for for IN A34005 2116 44 the the DT A34005 2116 45 quarters quarter NNS A34005 2116 46 , , , A34005 2116 47 and and CC A34005 2116 48 into into IN A34005 2116 49 such such JJ A34005 2116 50 parts part NNS A34005 2116 51 may may MD A34005 2116 52 the the DT A34005 2116 53 equal equal JJ A34005 2116 54 Semicircle Semicircle NNP A34005 2116 55 be be VB A34005 2116 56 divided divide VBN A34005 2116 57 ; ; : A34005 2116 58 that that IN A34005 2116 59 if if IN A34005 2116 60 it -PRON- PRP A34005 2116 61 were be VBD A34005 2116 62 required require VBN A34005 2116 63 to to TO A34005 2116 64 divide divide VB A34005 2116 65 a a DT A34005 2116 66 Circle Circle NNP A34005 2116 67 of of IN A34005 2116 68 like like IN A34005 2116 69 Radius Radius NNP A34005 2116 70 into into IN A34005 2116 71 such such JJ A34005 2116 72 parts part NNS A34005 2116 73 , , , A34005 2116 74 it -PRON- PRP A34005 2116 75 might may MD A34005 2116 76 be be VB A34005 2116 77 readily readily RB A34005 2116 78 done do VBN A34005 2116 79 by by IN A34005 2116 80 this this DT A34005 2116 81 . . . A34005 2117 1 Of of IN A34005 2117 2 the the DT A34005 2117 3 Line Line NNP A34005 2117 4 of of IN A34005 2117 5 Hours hour NNS A34005 2117 6 on on IN A34005 2117 7 the the DT A34005 2117 8 right right JJ A34005 2117 9 edge edge NN A34005 2117 10 of of IN A34005 2117 11 the the DT A34005 2117 12 foreside foreside NN A34005 2117 13 of of IN A34005 2117 14 the the DT A34005 2117 15 Quadrant Quadrant NNP A34005 2117 16 . . . A34005 2118 1 This this DT A34005 2118 2 is be VBZ A34005 2118 3 the the DT A34005 2118 4 very very RB A34005 2118 5 same same JJ A34005 2118 6 Scale scale NN A34005 2118 7 that that WDT A34005 2118 8 is be VBZ A34005 2118 9 in in IN A34005 2118 10 the the DT A34005 2118 11 Diameter Diameter NNP A34005 2118 12 on on IN A34005 2118 13 the the DT A34005 2118 14 Backside Backside NNP A34005 2118 15 , , , A34005 2118 16 only only RB A34005 2118 17 there there RB A34005 2118 18 it -PRON- PRP A34005 2118 19 was be VBD A34005 2118 20 divided divide VBN A34005 2118 21 into into IN A34005 2118 22 degrees degree NNS A34005 2118 23 , , , A34005 2118 24 and and CC A34005 2118 25 here here RB A34005 2118 26 into into IN A34005 2118 27 time time NN A34005 2118 28 , , , A34005 2118 29 and and CC A34005 2118 30 placed place VBN A34005 2118 31 on on IN A34005 2118 32 the the DT A34005 2118 33 outermost outermost JJ A34005 2118 34 edge edge NN A34005 2118 35 ; ; : A34005 2118 36 there there EX A34005 2118 37 needs need VBZ A34005 2118 38 no no DT A34005 2118 39 line line NN A34005 2118 40 of of IN A34005 2118 41 Latitudes Latitudes NNP A34005 2118 42 be be VB A34005 2118 43 fitted fit VBN A34005 2118 44 thereto thereto NN A34005 2118 45 , , , A34005 2118 46 for for IN A34005 2118 47 those those DT A34005 2118 48 Extents extent NNS A34005 2118 49 may may MD A34005 2118 50 be be VB A34005 2118 51 taken take VBN A34005 2118 52 off off RP A34005 2118 53 as as IN A34005 2118 54 Chords Chords NNPS A34005 2118 55 from from IN A34005 2118 56 the the DT A34005 2118 57 Quadrant Quadrant NNP A34005 2118 58 of of IN A34005 2118 59 Latitudes Latitudes NNP A34005 2118 60 , , , A34005 2118 61 by by IN A34005 2118 62 help help NN A34005 2118 63 of of IN A34005 2118 64 these these DT A34005 2118 65 Scales Scales NNP A34005 2118 66 thus thus RB A34005 2118 67 placed place VBD A34005 2118 68 on on IN A34005 2118 69 the the DT A34005 2118 70 outward outward JJ A34005 2118 71 edges edge NNS A34005 2118 72 of of IN A34005 2118 73 the the DT A34005 2118 74 Quadrants Quadrants NNPS A34005 2118 75 may may MD A34005 2118 76 the the DT A34005 2118 77 hour hour NN A34005 2118 78 - - HYPH A34005 2118 79 lines line NNS A34005 2118 80 of of IN A34005 2118 81 Dyals dyal NNS A34005 2118 82 be be VB A34005 2118 83 prickt prickt NNS A34005 2118 84 down down RP A34005 2118 85 without without IN A34005 2118 86 Compasses compass NNS A34005 2118 87 . . . A34005 2119 1 To to TO A34005 2119 2 Draw draw VB A34005 2119 3 a a DT A34005 2119 4 Horizontal Horizontal NNP A34005 2119 5 Dyal Dyal NNP A34005 2119 6 . . . A34005 2120 1 FIrst first RB A34005 2120 2 draw draw VB A34005 2120 3 the the DT A34005 2120 4 line line NN A34005 2120 5 C c NN A34005 2120 6 E e NN A34005 2120 7 , , , A34005 2120 8 for for IN A34005 2120 9 the the DT A34005 2120 10 Hour Hour NNP A34005 2120 11 - - HYPH A34005 2120 12 line line NN A34005 2120 13 of of IN A34005 2120 14 12 12 CD A34005 2120 15 , , , A34005 2120 16 and and CC A34005 2120 17 cross cross VB A34005 2120 18 it -PRON- PRP A34005 2120 19 with with IN A34005 2120 20 the the DT A34005 2120 21 Perpendicular Perpendicular NNP A34005 2120 22 A A NNP A34005 2120 23 B B NNP A34005 2120 24 , , , A34005 2120 25 then then RB A34005 2120 26 out out IN A34005 2120 27 of of IN A34005 2120 28 a a DT A34005 2120 29 Scale Scale NNP A34005 2120 30 or or CC A34005 2120 31 Quadrant Quadrant NNP A34005 2120 32 of of IN A34005 2120 33 Latitudes Latitudes NNP A34005 2120 34 set set NN A34005 2120 35 of of IN A34005 2120 36 C C NNP A34005 2120 37 B B NNP A34005 2120 38 and and CC A34005 2120 39 C C NNP A34005 2120 40 A A NNP A34005 2120 41 , , , A34005 2120 42 each each DT A34005 2120 43 equal equal JJ A34005 2120 44 to to IN A34005 2120 45 the the DT A34005 2120 46 Stiles Stiles NNP A34005 2120 47 height height NN A34005 2120 48 , , , A34005 2120 49 or or CC A34005 2120 50 Latitude Latitude NNP A34005 2120 51 of of IN A34005 2120 52 the the DT A34005 2120 53 place place NN A34005 2120 54 , , , A34005 2120 55 then then RB A34005 2120 56 place place VB A34005 2120 57 the the DT A34005 2120 58 Scale scale NN A34005 2120 59 of of IN A34005 2120 60 6 6 CD A34005 2120 61 hours hour NNS A34005 2120 62 on on IN A34005 2120 63 the the DT A34005 2120 64 edge edge NN A34005 2120 65 of of IN A34005 2120 66 the the DT A34005 2120 67 Quadrant Quadrant NNP A34005 2120 68 , , , A34005 2120 69 whereto whereto VB A34005 2120 70 the the DT A34005 2120 71 Line Line NNP A34005 2120 72 of of IN A34005 2120 73 Latitudes Latitudes NNP A34005 2120 74 was be VBD A34005 2120 75 fitted fit VBN A34005 2120 76 , , , A34005 2120 77 one one CD A34005 2120 78 extremity extremity NN A34005 2120 79 of of IN A34005 2120 80 it -PRON- PRP A34005 2120 81 at at IN A34005 2120 82 A a NN A34005 2120 83 , , , A34005 2120 84 and and CC A34005 2120 85 move move VB A34005 2120 86 the the DT A34005 2120 87 Quadrant Quadrant NNP A34005 2120 88 about about IN A34005 2120 89 , , , A34005 2120 90 till till IN A34005 2120 91 the the DT A34005 2120 92 other other JJ A34005 2120 93 end end NN A34005 2120 94 or or CC A34005 2120 95 extremity extremity NN A34005 2120 96 of of IN A34005 2120 97 it -PRON- PRP A34005 2120 98 will will MD A34005 2120 99 meet meet VB A34005 2120 100 with with IN A34005 2120 101 the the DT A34005 2120 102 Meridian meridian JJ A34005 2120 103 line line NN A34005 2120 104 C c NN A34005 2120 105 E e NN A34005 2120 106 ; ; : A34005 2120 107 then then RB A34005 2120 108 in in IN A34005 2120 109 regard regard NN A34005 2120 110 the the DT A34005 2120 111 said say VBN A34005 2120 112 Scale Scale NNP A34005 2120 113 of of IN A34005 2120 114 Hours Hours NNPS A34005 2120 115 stands stand VBZ A34005 2120 116 on on IN A34005 2120 117 the the DT A34005 2120 118 very very JJ A34005 2120 119 brink brink NN A34005 2120 120 or or CC A34005 2120 121 outward outward IN A34005 2120 122 most most JJS A34005 2120 123 edge edge NN A34005 2120 124 of of IN A34005 2120 125 the the DT A34005 2120 126 Quadrant Quadrant NNP A34005 2120 127 , , , A34005 2120 128 with with IN A34005 2120 129 a a DT A34005 2120 130 Pin Pin NNP A34005 2120 131 , , , A34005 2120 132 Pen Pen NNP A34005 2120 133 , , , A34005 2120 134 or or CC A34005 2120 135 the the DT A34005 2120 136 end end NN A34005 2120 137 of of IN A34005 2120 138 a a DT A34005 2120 139 black black JJ A34005 2120 140 - - HYPH A34005 2120 141 lead lead NN A34005 2120 142 pen pen NN A34005 2120 143 , , , A34005 2120 144 make make VBP A34005 2120 145 marks mark NNS A34005 2120 146 or or CC A34005 2120 147 points point NNS A34005 2120 148 upon upon IN A34005 2120 149 the the DT A34005 2120 150 Paper Paper NNP A34005 2120 151 or or CC A34005 2120 152 Dyal Dyal NNP A34005 2120 153 against against IN A34005 2120 154 each each DT A34005 2120 155 hour hour NN A34005 2120 156 ( ( -LRB- A34005 2120 157 and and CC A34005 2120 158 the the DT A34005 2120 159 like like JJ A34005 2120 160 for for IN A34005 2120 161 the the DT A34005 2120 162 quarters quarter NNS A34005 2120 163 , , , A34005 2120 164 and and CC A34005 2120 165 other other JJ A34005 2120 166 lesser less JJR A34005 2120 167 parts part NNS A34005 2120 168 ) ) -RRB- A34005 2120 169 of of IN A34005 2120 170 the the DT A34005 2120 171 graduated graduate VBN A34005 2120 172 Scale Scale NNP A34005 2120 173 , , , A34005 2120 174 and and CC A34005 2120 175 from from IN A34005 2120 176 those those DT A34005 2120 177 marks mark NNS A34005 2120 178 draw draw VBP A34005 2120 179 lines line NNS A34005 2120 180 into into IN A34005 2120 181 the the DT A34005 2120 182 Center Center NNP A34005 2120 183 , , , A34005 2120 184 and and CC A34005 2120 185 they -PRON- PRP A34005 2120 186 shall shall MD A34005 2120 187 be be VB A34005 2120 188 the the DT A34005 2120 189 hour hour NN A34005 2120 190 - - HYPH A34005 2120 191 lines line NNS A34005 2120 192 required require VBN A34005 2120 193 , , , A34005 2120 194 without without IN A34005 2120 195 drawing draw VBG A34005 2120 196 any any DT A34005 2120 197 other other JJ A34005 2120 198 lines line NNS A34005 2120 199 on on IN A34005 2120 200 the the DT A34005 2120 201 Plain Plain NNP A34005 2120 202 , , , A34005 2120 203 the the DT A34005 2120 204 Scale scale NN A34005 2120 205 of of IN A34005 2120 206 Hours hour NNS A34005 2120 207 on on IN A34005 2120 208 the the DT A34005 2120 209 Quadrant Quadrant NNP A34005 2120 210 is be VBZ A34005 2120 211 here here RB A34005 2120 212 represented represent VBN A34005 2120 213 by by IN A34005 2120 214 the the DT A34005 2120 215 lines line NNS A34005 2120 216 A a DT A34005 2120 217 E e NN A34005 2120 218 , , , A34005 2120 219 and and CC A34005 2120 220 E e NN A34005 2120 221 B B NNP A34005 2120 222 , , , A34005 2120 223 the the DT A34005 2120 224 hour hour NN A34005 2120 225 lines line NNS A34005 2120 226 above above IN A34005 2120 227 the the DT A34005 2120 228 Center Center NNP A34005 2120 229 , , , A34005 2120 230 are be VBP A34005 2120 231 drawn draw VBN A34005 2120 232 by by IN A34005 2120 233 continuing continue VBG A34005 2120 234 them -PRON- PRP A34005 2120 235 out out RP A34005 2120 236 through through IN A34005 2120 237 the the DT A34005 2120 238 Center Center NNP A34005 2120 239 . . . A34005 2121 1 And and CC A34005 2121 2 those those DT A34005 2121 3 that that WDT A34005 2121 4 have have VBP A34005 2121 5 Paper paper NN A34005 2121 6 prints print NNS A34005 2121 7 of of IN A34005 2121 8 this this DT A34005 2121 9 line line NN A34005 2121 10 , , , A34005 2121 11 may may MD A34005 2121 12 make make VB A34005 2121 13 them -PRON- PRP A34005 2121 14 serve serve VB A34005 2121 15 for for IN A34005 2121 16 this this DT A34005 2121 17 purpose purpose NN A34005 2121 18 , , , A34005 2121 19 without without IN A34005 2121 20 pricking prick VBG A34005 2121 21 down down RP A34005 2121 22 the the DT A34005 2121 23 hour hour NN A34005 2121 24 points point NNS A34005 2121 25 by by IN A34005 2121 26 Compasses compass NNS A34005 2121 27 , , , A34005 2121 28 by by IN A34005 2121 29 doubling double VBG A34005 2121 30 the the DT A34005 2121 31 paper paper NN A34005 2121 32 at at IN A34005 2121 33 the the DT A34005 2121 34 very very JJ A34005 2121 35 edge edge NN A34005 2121 36 or or CC A34005 2121 37 extremity extremity NN A34005 2121 38 of of IN A34005 2121 39 the the DT A34005 2121 40 Scale Scale NNP A34005 2121 41 of of IN A34005 2121 42 Hours hour NNS A34005 2121 43 . . . A34005 2122 1 Otherwise otherwise RB A34005 2122 2 to to TO A34005 2122 3 prick prick VB A34005 2122 4 down down RP A34005 2122 5 the the DT A34005 2122 6 said say VBN A34005 2122 7 Dial Dial NNP A34005 2122 8 without without IN A34005 2122 9 the the DT A34005 2122 10 Line Line NNP A34005 2122 11 of of IN A34005 2122 12 Latitudes Latitudes NNP A34005 2122 13 and and CC A34005 2122 14 Scale Scale NNP A34005 2122 15 of of IN A34005 2122 16 hours hour NNS A34005 2122 17 in in IN A34005 2122 18 a a DT A34005 2122 19 right right NN A34005 2122 20 angled angle VBN A34005 2122 21 Parallellogram Parallellogram NNP A34005 2122 22 . . . A34005 2123 1 Having have VBG A34005 2123 2 drawn draw VBN A34005 2123 3 C c NN A34005 2123 4 E e NN A34005 2123 5 the the DT A34005 2123 6 Meridian meridian JJ A34005 2123 7 line line NN A34005 2123 8 , , , A34005 2123 9 and and CC A34005 2123 10 crossed cross VBD A34005 2123 11 it -PRON- PRP A34005 2123 12 with with IN A34005 2123 13 the the DT A34005 2123 14 perpendicular perpendicular JJ A34005 2123 15 C C NNP A34005 2123 16 A A NNP A34005 2123 17 B B NNP A34005 2123 18 , , , A34005 2123 19 and and CC A34005 2123 20 determining determine VBG A34005 2123 21 C c NN A34005 2123 22 E e NN A34005 2123 23 to to TO A34005 2123 24 be be VB A34005 2123 25 the the DT A34005 2123 26 Radius Radius NNP A34005 2123 27 of of IN A34005 2123 28 any any DT A34005 2123 29 length length NN A34005 2123 30 , , , A34005 2123 31 take take VB A34005 2123 32 out out RP A34005 2123 33 the the DT A34005 2123 34 Sine Sine NNP A34005 2123 35 of of IN A34005 2123 36 the the DT A34005 2123 37 Latitude Latitude NNP A34005 2123 38 to to IN A34005 2123 39 the the DT A34005 2123 40 same same JJ A34005 2123 41 Radius Radius NNP A34005 2123 42 , , , A34005 2123 43 and and CC A34005 2123 44 prick prick VB A34005 2123 45 it -PRON- PRP A34005 2123 46 from from IN A34005 2123 47 C C NNP A34005 2123 48 to to IN A34005 2123 49 A a NN A34005 2123 50 and and CC A34005 2123 51 B b NN A34005 2123 52 , , , A34005 2123 53 and and CC A34005 2123 54 setting set VBG A34005 2123 55 one one CD A34005 2123 56 foot foot NN A34005 2123 57 at at IN A34005 2123 58 E e NN A34005 2123 59 , , , A34005 2123 60 with with IN A34005 2123 61 the the DT A34005 2123 62 said say VBN A34005 2123 63 Extent extent NN A34005 2123 64 sweep sweep VB A34005 2123 65 the the DT A34005 2123 66 touch touch NN A34005 2123 67 of of IN A34005 2123 68 an an DT A34005 2123 69 Arch Arch NNP A34005 2123 70 at at IN A34005 2123 71 D d NN A34005 2123 72 and and CC A34005 2123 73 F f NN A34005 2123 74 , , , A34005 2123 75 then then RB A34005 2123 76 take take VB A34005 2123 77 the the DT A34005 2123 78 length length NN A34005 2123 79 of of IN A34005 2123 80 the the DT A34005 2123 81 Radius Radius NNP A34005 2123 82 C C NNP A34005 2123 83 E E NNP A34005 2123 84 , , , A34005 2123 85 and and CC A34005 2123 86 setting set VBG A34005 2123 87 down down RP A34005 2123 88 one one CD A34005 2123 89 foot foot NN A34005 2123 90 at at IN A34005 2123 91 B b NN A34005 2123 92 , , , A34005 2123 93 sweep sweep VB A34005 2123 94 the the DT A34005 2123 95 touch touch NN A34005 2123 96 of of IN A34005 2123 97 an an DT A34005 2123 98 Ark Ark NNP A34005 2123 99 at at IN A34005 2123 100 D d NN A34005 2123 101 , , , A34005 2123 102 intersecting intersect VBG A34005 2123 103 the the DT A34005 2123 104 former former JJ A34005 2123 105 , , , A34005 2123 106 also also RB A34005 2123 107 setting set VBG A34005 2123 108 down down RP A34005 2123 109 the the DT A34005 2123 110 Compasses compass NNS A34005 2123 111 at at IN A34005 2123 112 A A NNP A34005 2123 113 , , , A34005 2123 114 make make VB A34005 2123 115 the the DT A34005 2123 116 like like UH A34005 2123 117 Arch Arch NNP A34005 2123 118 at at IN A34005 2123 119 F F NNP A34005 2123 120 , , , A34005 2123 121 and and CC A34005 2123 122 through through IN A34005 2123 123 the the DT A34005 2123 124 points point NNS A34005 2123 125 of of IN A34005 2123 126 Intersection intersection NN A34005 2123 127 , , , A34005 2123 128 draw draw VB A34005 2123 129 the the DT A34005 2123 130 streight streight JJ A34005 2123 131 lines line NNS A34005 2123 132 A a DT A34005 2123 133 F F NNP A34005 2123 134 , , , A34005 2123 135 B b NN A34005 2123 136 D D NNP A34005 2123 137 , , , A34005 2123 138 and and CC A34005 2123 139 F f NN A34005 2123 140 E e NN A34005 2123 141 D d NN A34005 2123 142 , , , A34005 2123 143 and and CC A34005 2123 144 they -PRON- PRP A34005 2123 145 will will MD A34005 2123 146 make make VB A34005 2123 147 a a DT A34005 2123 148 right right NN A34005 2123 149 angled angle VBN A34005 2123 150 Parallellogram Parallellogram NNP A34005 2123 151 , , , A34005 2123 152 the the DT A34005 2123 153 sides side NNS A34005 2123 154 whereof whereof MD A34005 2123 155 will will MD A34005 2123 156 be be VB A34005 2123 157 Tangent tangent NN A34005 2123 158 lines line NNS A34005 2123 159 . . . A34005 2124 1 To to TO A34005 2124 2 draw draw VB A34005 2124 3 the the DT A34005 2124 4 Hour hour NN A34005 2124 5 - - HYPH A34005 2124 6 lines line NNS A34005 2124 7 : : : A34005 2124 8 Make make VB A34005 2124 9 E E NNP A34005 2124 10 F f NN A34005 2124 11 , , , A34005 2124 12 or or CC A34005 2124 13 E E NNP A34005 2124 14 D D NNP A34005 2124 15 Radius radius NN A34005 2124 16 , , , A34005 2124 17 and and CC A34005 2124 18 proportion proportion VB A34005 2124 19 out out RP A34005 2124 20 the the DT A34005 2124 21 Tangents tangent NNS A34005 2124 22 of of IN A34005 2124 23 15d 15d NNPS A34005 2124 24 and and CC A34005 2124 25 prick prick VB A34005 2124 26 them -PRON- PRP A34005 2124 27 down down RP A34005 2124 28 from from IN A34005 2124 29 E e NN A34005 2124 30 to to IN A34005 2124 31 1 1 CD A34005 2124 32 and and CC A34005 2124 33 11 11 CD A34005 2124 34 and and CC A34005 2124 35 draw draw VBP A34005 2124 36 lines line NNS A34005 2124 37 30 30 CD A34005 2124 38 and and CC A34005 2124 39 prick prick VB A34005 2124 40 them -PRON- PRP A34005 2124 41 down down RP A34005 2124 42 from from IN A34005 2124 43 E e NN A34005 2124 44 to to IN A34005 2124 45 2 2 CD A34005 2124 46 and and CC A34005 2124 47 10 10 CD A34005 2124 48 and and CC A34005 2124 49 draw draw VBP A34005 2124 50 lines line NNS A34005 2124 51 through through IN A34005 2124 52 the the DT A34005 2124 53 points point NNS A34005 2124 54 thus thus RB A34005 2124 55 found find VBD A34005 2124 56 , , , A34005 2124 57 and and CC A34005 2124 58 through through IN A34005 2124 59 the the DT A34005 2124 60 points point NNS A34005 2124 61 F F NNP A34005 2124 62 and and CC A34005 2124 63 D D NNP A34005 2124 64 , , , A34005 2124 65 and and CC A34005 2124 66 there there EX A34005 2124 67 will will MD A34005 2124 68 be be VB A34005 2124 69 3 3 CD A34005 2124 70 hours hour NNS A34005 2124 71 drawn draw VBN A34005 2124 72 on on IN A34005 2124 73 each each DT A34005 2124 74 side side NN A34005 2124 75 the the DT A34005 2124 76 Meridian meridian JJ A34005 2124 77 line line NN A34005 2124 78 . . . A34005 2125 1 Again again RB A34005 2125 2 , , , A34005 2125 3 make make VB A34005 2125 4 A a DT A34005 2125 5 F f NN A34005 2125 6 or or CC A34005 2125 7 B B NNP A34005 2125 8 D D NNP A34005 2125 9 Radius Radius NNP A34005 2125 10 , , , A34005 2125 11 and and CC A34005 2125 12 proportion proportion VB A34005 2125 13 out out RP A34005 2125 14 the the DT A34005 2125 15 Tangent Tangent NNP A34005 2125 16 of of IN A34005 2125 17 15d 15d CD A34005 2125 18 , , , A34005 2125 19 and and CC A34005 2125 20 prick prick VB A34005 2125 21 it -PRON- PRP A34005 2125 22 down down RP A34005 2125 23 from from IN A34005 2125 24 A a NN A34005 2125 25 to to IN A34005 2125 26 5 5 CD A34005 2125 27 , , , A34005 2125 28 and and CC A34005 2125 29 from from IN A34005 2125 30 B b NN A34005 2125 31 to to IN A34005 2125 32 7 7 CD A34005 2125 33 . . . A34005 2126 1 Also also RB A34005 2126 2 proportion proportion VB A34005 2126 3 out out RP A34005 2126 4 the the DT A34005 2126 5 Tangent Tangent NNP A34005 2126 6 of of IN A34005 2126 7 30d 30d NNS A34005 2126 8 , , , A34005 2126 9 and and CC A34005 2126 10 prick prick VB A34005 2126 11 it -PRON- PRP A34005 2126 12 down down RP A34005 2126 13 from from IN A34005 2126 14 A a NN A34005 2126 15 to to IN A34005 2126 16 4 4 CD A34005 2126 17 , , , A34005 2126 18 and and CC A34005 2126 19 from from IN A34005 2126 20 B b NN A34005 2126 21 to to IN A34005 2126 22 8 8 CD A34005 2126 23 , , , A34005 2126 24 and and CC A34005 2126 25 draw draw VB A34005 2126 26 lines line NNS A34005 2126 27 into into IN A34005 2126 28 the the DT A34005 2126 29 Center Center NNP A34005 2126 30 , , , A34005 2126 31 and and CC A34005 2126 32 so so RB A34005 2126 33 the the DT A34005 2126 34 Hour Hour NNP A34005 2126 35 - - HYPH A34005 2126 36 lines line NNS A34005 2126 37 are be VBP A34005 2126 38 finished finish VBN A34005 2126 39 , , , A34005 2126 40 and and CC A34005 2126 41 for for IN A34005 2126 42 those those DT A34005 2126 43 that that WDT A34005 2126 44 fall fall VBP A34005 2126 45 above above IN A34005 2126 46 the the DT A34005 2126 47 6 6 CD A34005 2126 48 of of IN A34005 2126 49 clock clock NN A34005 2126 50 line line NN A34005 2126 51 , , , A34005 2126 52 they -PRON- PRP A34005 2126 53 are be VBP A34005 2126 54 only only RB A34005 2126 55 the the DT A34005 2126 56 opposite opposite JJ A34005 2126 57 hours hour NNS A34005 2126 58 continued continue VBN A34005 2126 59 , , , A34005 2126 60 after after IN A34005 2126 61 the the DT A34005 2126 62 like like JJ A34005 2126 63 manner manner NN A34005 2126 64 are be VBP A34005 2126 65 the the DT A34005 2126 66 halfs halfs NNP A34005 2126 67 and and CC A34005 2126 68 quarters quarter NNS A34005 2126 69 to to TO A34005 2126 70 be be VB A34005 2126 71 prickt prickt NNS A34005 2126 72 down down RP A34005 2126 73 . . . A34005 2127 1 Lastly lastly RB A34005 2127 2 , , , A34005 2127 3 By by IN A34005 2127 4 chords chord NNS A34005 2127 5 prick prick VBP A34005 2127 6 off off RP A34005 2127 7 the the DT A34005 2127 8 Stiles Stiles NNP A34005 2127 9 height height NN A34005 2127 10 equal equal JJ A34005 2127 11 to to IN A34005 2127 12 the the DT A34005 2127 13 Latitude Latitude NNP A34005 2127 14 of of IN A34005 2127 15 the the DT A34005 2127 16 place place NN A34005 2127 17 , , , A34005 2127 18 and and CC A34005 2127 19 let let VB A34005 2127 20 it -PRON- PRP A34005 2127 21 be be VB A34005 2127 22 placed place VBN A34005 2127 23 to to IN A34005 2127 24 its -PRON- PRP$ A34005 2127 25 due due JJ A34005 2127 26 elevation elevation NN A34005 2127 27 over over IN A34005 2127 28 the the DT A34005 2127 29 Meridian meridian JJ A34005 2127 30 line line NN A34005 2127 31 . . . A34005 2128 1 Of of IN A34005 2128 2 Vpright Vpright NNP A34005 2128 3 Decliners decliner NNS A34005 2128 4 . . . A34005 2129 1 DIvers DIvers NNP A34005 2129 2 Arks Arks NNP A34005 2129 3 for for IN A34005 2129 4 such such JJ A34005 2129 5 plains plain NNS A34005 2129 6 are be VBP A34005 2129 7 to to TO A34005 2129 8 be be VB A34005 2129 9 calculated calculate VBN A34005 2129 10 , , , A34005 2129 11 and and CC A34005 2129 12 may may MD A34005 2129 13 be be VB A34005 2129 14 found find VBN A34005 2129 15 on on IN A34005 2129 16 the the DT A34005 2129 17 Circle Circle NNP A34005 2129 18 before before IN A34005 2129 19 described describe VBN A34005 2129 20 . . . A34005 2130 1 1 1 LS A34005 2130 2 . . . A34005 2131 1 The the DT A34005 2131 2 Substiles Substiles NNP A34005 2131 3 distance distance NN A34005 2131 4 from from IN A34005 2131 5 the the DT A34005 2131 6 Meridian Meridian NNP A34005 2131 7 . . . A34005 2132 1 By by IN A34005 2132 2 the the DT A34005 2132 3 Substilar substilar JJ A34005 2132 4 line line NN A34005 2132 5 is be VBZ A34005 2132 6 meant mean VBN A34005 2132 7 , , , A34005 2132 8 a a DT A34005 2132 9 line line NN A34005 2132 10 over over IN A34005 2132 11 which which WDT A34005 2132 12 the the DT A34005 2132 13 Stile Stile NNP A34005 2132 14 or or CC A34005 2132 15 cock cock NN A34005 2132 16 of of IN A34005 2132 17 the the DT A34005 2132 18 Dyal Dyal NNP A34005 2132 19 directly directly RB A34005 2132 20 hangeth hangeth VB A34005 2132 21 in in IN A34005 2132 22 its -PRON- PRP$ A34005 2132 23 nearest near JJS A34005 2132 24 distance distance NN A34005 2132 25 from from IN A34005 2132 26 the the DT A34005 2132 27 Plain Plain NNP A34005 2132 28 , , , A34005 2132 29 by by IN A34005 2132 30 some some DT A34005 2132 31 termed term VBN A34005 2132 32 the the DT A34005 2132 33 line line NN A34005 2132 34 of of IN A34005 2132 35 deflexion deflexion NN A34005 2132 36 , , , A34005 2132 37 and and CC A34005 2132 38 is be VBZ A34005 2132 39 the the DT A34005 2132 40 Ark Ark NNP A34005 2132 41 of of IN A34005 2132 42 the the DT A34005 2132 43 plain plain NN A34005 2132 44 between between IN A34005 2132 45 the the DT A34005 2132 46 Meridian Meridian NNP A34005 2132 47 of of IN A34005 2132 48 the the DT A34005 2132 49 Plain Plain NNP A34005 2132 50 , , , A34005 2132 51 and and CC A34005 2132 52 the the DT A34005 2132 53 Meridian Meridian NNP A34005 2132 54 of of IN A34005 2132 55 the the DT A34005 2132 56 place place NN A34005 2132 57 . . . A34005 2133 1 The the DT A34005 2133 2 distance distance NN A34005 2133 3 thereof thereof RB A34005 2133 4 from from IN A34005 2133 5 the the DT A34005 2133 6 Hour Hour NNP A34005 2133 7 - - HYPH A34005 2133 8 line line NN A34005 2133 9 of of IN A34005 2133 10 12 12 CD A34005 2133 11 , , , A34005 2133 12 is be VBZ A34005 2133 13 to to TO A34005 2133 14 be be VB A34005 2133 15 found find VBN A34005 2133 16 by by IN A34005 2133 17 this this DT A34005 2133 18 Proportion Proportion NNP A34005 2133 19 . . . A34005 2134 1 As as IN A34005 2134 2 the the DT A34005 2134 3 Radius Radius NNP A34005 2134 4 , , , A34005 2134 5 To to IN A34005 2134 6 the the DT A34005 2134 7 Sine Sine NNP A34005 2134 8 of of IN A34005 2134 9 the the DT A34005 2134 10 Plains Plains NNP A34005 2134 11 Declination Declination NNP A34005 2134 12 , , , A34005 2134 13 So so CC A34005 2134 14 the the DT A34005 2134 15 Cotangent Cotangent NNP A34005 2134 16 of of IN A34005 2134 17 the the DT A34005 2134 18 Latitude Latitude NNP A34005 2134 19 , , , A34005 2134 20 To to IN A34005 2134 21 the the DT A34005 2134 22 Tangent tangent NN A34005 2134 23 of of IN A34005 2134 24 the the DT A34005 2134 25 Substile Substile NNP A34005 2134 26 from from IN A34005 2134 27 the the DT A34005 2134 28 Meridian Meridian NNP A34005 2134 29 . . . A34005 2135 1 2 2 LS A34005 2135 2 . . . A34005 2136 1 For for IN A34005 2136 2 the the DT A34005 2136 3 Angle Angle NNP A34005 2136 4 of of IN A34005 2136 5 12 12 CD A34005 2136 6 and and CC A34005 2136 7 6 6 CD A34005 2136 8 . . . A34005 2137 1 An an DT A34005 2137 2 Ark Ark NNP A34005 2137 3 used use VBD A34005 2137 4 when when WRB A34005 2137 5 the the DT A34005 2137 6 Hour Hour NNP A34005 2137 7 - - HYPH A34005 2137 8 lines line NNS A34005 2137 9 are be VBP A34005 2137 10 pricked prick VBN A34005 2137 11 down down RP A34005 2137 12 from from IN A34005 2137 13 the the DT A34005 2137 14 Meridian meridian JJ A34005 2137 15 line line NN A34005 2137 16 in in IN A34005 2137 17 a a DT A34005 2137 18 Triangle Triangle NNP A34005 2137 19 or or CC A34005 2137 20 Parallellogram Parallellogram NNP A34005 2137 21 , , , A34005 2137 22 ( ( -LRB- A34005 2137 23 and and CC A34005 2137 24 not not RB A34005 2137 25 from from IN A34005 2137 26 the the DT A34005 2137 27 Substile Substile NNP A34005 2137 28 , , , A34005 2137 29 ) ) -RRB- A34005 2137 30 without without IN A34005 2137 31 collecting collect VBG A34005 2137 32 Angles angle NNS A34005 2137 33 at at IN A34005 2137 34 the the DT A34005 2137 35 Pole Pole NNP A34005 2137 36 . . . A34005 2138 1 As as IN A34005 2138 2 the the DT A34005 2138 3 Radius Radius NNP A34005 2138 4 , , , A34005 2138 5 Is be VBZ A34005 2138 6 to to IN A34005 2138 7 the the DT A34005 2138 8 Sine Sine NNP A34005 2138 9 of of IN A34005 2138 10 the the DT A34005 2138 11 Plains Plains NNP A34005 2138 12 Declination Declination NNP A34005 2138 13 , , , A34005 2138 14 So so RB A34005 2138 15 is be VBZ A34005 2138 16 the the DT A34005 2138 17 Tangent Tangent NNP A34005 2138 18 of of IN A34005 2138 19 the the DT A34005 2138 20 Latitude Latitude NNP A34005 2138 21 , , , A34005 2138 22 To to IN A34005 2138 23 the the DT A34005 2138 24 Tangent Tangent NNP A34005 2138 25 of of IN A34005 2138 26 an an DT A34005 2138 27 Ark Ark NNP A34005 2138 28 , , , A34005 2138 29 the the DT A34005 2138 30 Complement Complement NNP A34005 2138 31 whereof whereof NN A34005 2138 32 is be VBZ A34005 2138 33 the the DT A34005 2138 34 Angle Angle NNP A34005 2138 35 of of IN A34005 2138 36 12 12 CD A34005 2138 37 and and CC A34005 2138 38 6 6 CD A34005 2138 39 . . . A34005 2139 1 3 3 LS A34005 2139 2 . . . A34005 2140 1 Inclination inclination NN A34005 2140 2 of of IN A34005 2140 3 Meridians Meridians NNPS A34005 2140 4 . . . A34005 2141 1 Is be VBZ A34005 2141 2 an an DT A34005 2141 3 Ark Ark NNP A34005 2141 4 of of IN A34005 2141 5 the the DT A34005 2141 6 Equinoctial Equinoctial NNP A34005 2141 7 , , , A34005 2141 8 between between IN A34005 2141 9 the the DT A34005 2141 10 Meridian Meridian NNP A34005 2141 11 of of IN A34005 2141 12 the the DT A34005 2141 13 plain plain NN A34005 2141 14 , , , A34005 2141 15 and and CC A34005 2141 16 the the DT A34005 2141 17 Meridian Meridian NNP A34005 2141 18 of of IN A34005 2141 19 the the DT A34005 2141 20 place place NN A34005 2141 21 , , , A34005 2141 22 or or CC A34005 2141 23 it -PRON- PRP A34005 2141 24 is be VBZ A34005 2141 25 an an DT A34005 2141 26 Angle Angle NNP A34005 2141 27 or or CC A34005 2141 28 space space NN A34005 2141 29 of of IN A34005 2141 30 time time NN A34005 2141 31 elapsed elapse VBD A34005 2141 32 between between IN A34005 2141 33 the the DT A34005 2141 34 passage passage NN A34005 2141 35 of of IN A34005 2141 36 the the DT A34005 2141 37 shaddow shaddow NNP A34005 2141 38 of of IN A34005 2141 39 the the DT A34005 2141 40 Stile Stile NNP A34005 2141 41 from from IN A34005 2141 42 the the DT A34005 2141 43 Substilar substilar JJ A34005 2141 44 line line NN A34005 2141 45 into into IN A34005 2141 46 the the DT A34005 2141 47 Meridian meridian JJ A34005 2141 48 line line NN A34005 2141 49 , , , A34005 2141 50 by by IN A34005 2141 51 some some DT A34005 2141 52 termed term VBN A34005 2141 53 the the DT A34005 2141 54 Plains Plains NNPS A34005 2141 55 difference difference NN A34005 2141 56 of of IN A34005 2141 57 Longitude longitude NN A34005 2141 58 ; ; : A34005 2141 59 and and CC A34005 2141 60 not not RB A34005 2141 61 improperly improperly RB A34005 2141 62 , , , A34005 2141 63 for for IN A34005 2141 64 it -PRON- PRP A34005 2141 65 shews shew VBZ A34005 2141 66 in in IN A34005 2141 67 what what WP A34005 2141 68 Longitude Longitude NNP A34005 2141 69 from from IN A34005 2141 70 the the DT A34005 2141 71 Meridian Meridian NNP A34005 2141 72 where where WRB A34005 2141 73 the the DT A34005 2141 74 Plain Plain NNP A34005 2141 75 is be VBZ A34005 2141 76 ; ; : A34005 2141 77 the the DT A34005 2141 78 said say VBD A34005 2141 79 Plain Plain NNP A34005 2141 80 would would MD A34005 2141 81 become become VB A34005 2141 82 a a DT A34005 2141 83 Horizontal Horizontal NNP A34005 2141 84 Dyal Dyal NNP A34005 2141 85 , , , A34005 2141 86 and and CC A34005 2141 87 the the DT A34005 2141 88 Stiles Stiles NNP A34005 2141 89 height height NN A34005 2141 90 shews shew VBZ A34005 2141 91 the the DT A34005 2141 92 Latitude Latitude NNP A34005 2141 93 , , , A34005 2141 94 this this DT A34005 2141 95 Ark Ark NNP A34005 2141 96 is be VBZ A34005 2141 97 used use VBN A34005 2141 98 in in IN A34005 2141 99 calculating calculate VBG A34005 2141 100 hour hour NN A34005 2141 101 distances distance NNS A34005 2141 102 by by IN A34005 2141 103 the the DT A34005 2141 104 Tables Tables NNPS A34005 2141 105 and and CC A34005 2141 106 in in IN A34005 2141 107 pricking prick VBG A34005 2141 108 down down RP A34005 2141 109 Dyals dyal NNS A34005 2141 110 by by IN A34005 2141 111 the the DT A34005 2141 112 Line Line NNP A34005 2141 113 of of IN A34005 2141 114 Latitudes Latitudes NNP A34005 2141 115 , , , A34005 2141 116 and and CC A34005 2141 117 hours hour NNS A34005 2141 118 from from IN A34005 2141 119 the the DT A34005 2141 120 Substile Substile NNP A34005 2141 121 . . . A34005 2142 1 As as IN A34005 2142 2 the the DT A34005 2142 3 Radius Radius NNP A34005 2142 4 , , , A34005 2142 5 Is be VBZ A34005 2142 6 to to IN A34005 2142 7 the the DT A34005 2142 8 Sine Sine NNP A34005 2142 9 of of IN A34005 2142 10 the the DT A34005 2142 11 Latitude Latitude NNP A34005 2142 12 , , , A34005 2142 13 So so CC A34005 2142 14 the the DT A34005 2142 15 Cotangent Cotangent NNP A34005 2142 16 of of IN A34005 2142 17 the the DT A34005 2142 18 Plains Plains NNP A34005 2142 19 Declination Declination NNP A34005 2142 20 , , , A34005 2142 21 To to IN A34005 2142 22 the the DT A34005 2142 23 Cotangent Cotangent NNP A34005 2142 24 of of IN A34005 2142 25 the the DT A34005 2142 26 Inclination Inclination NNP A34005 2142 27 of of IN A34005 2142 28 Meridians Meridians NNPS A34005 2142 29 . . . A34005 2143 1 Or or CC A34005 2143 2 , , , A34005 2143 3 As as IN A34005 2143 4 the the DT A34005 2143 5 Sine Sine NNP A34005 2143 6 of of IN A34005 2143 7 the the DT A34005 2143 8 Latitude Latitude NNP A34005 2143 9 to to IN A34005 2143 10 Radius Radius NNP A34005 2143 11 , , , A34005 2143 12 So so RB A34005 2143 13 is be VBZ A34005 2143 14 the the DT A34005 2143 15 Tangent Tangent NNP A34005 2143 16 of of IN A34005 2143 17 the the DT A34005 2143 18 Plains Plains NNP A34005 2143 19 Declination Declination NNP A34005 2143 20 , , , A34005 2143 21 To to IN A34005 2143 22 the the DT A34005 2143 23 Tangent Tangent NNP A34005 2143 24 of of IN A34005 2143 25 Inclination Inclination NNP A34005 2143 26 of of IN A34005 2143 27 Meridians Meridians NNPS A34005 2143 28 . . . A34005 2144 1 4 4 LS A34005 2144 2 . . . A34005 2145 1 The the DT A34005 2145 2 Stiles Stiles NNPS A34005 2145 3 height height NN A34005 2145 4 above above IN A34005 2145 5 the the DT A34005 2145 6 Substile Substile NNP A34005 2145 7 . . . A34005 2146 1 As as IN A34005 2146 2 the the DT A34005 2146 3 Radius Radius NNP A34005 2146 4 , , , A34005 2146 5 Is be VBZ A34005 2146 6 to to IN A34005 2146 7 the the DT A34005 2146 8 Cosine Cosine NNP A34005 2146 9 of of IN A34005 2146 10 the the DT A34005 2146 11 Latitude Latitude NNP A34005 2146 12 , , , A34005 2146 13 So so RB A34005 2146 14 is be VBZ A34005 2146 15 the the DT A34005 2146 16 Cosine Cosine NNP A34005 2146 17 of of IN A34005 2146 18 the the DT A34005 2146 19 Plains Plains NNP A34005 2146 20 Declination Declination NNP A34005 2146 21 , , , A34005 2146 22 To to IN A34005 2146 23 the the DT A34005 2146 24 Sine Sine NNP A34005 2146 25 of of IN A34005 2146 26 the the DT A34005 2146 27 Stiles Stiles NNP A34005 2146 28 height height NN A34005 2146 29 . . . A34005 2147 1 Or or CC A34005 2147 2 the the DT A34005 2147 3 Substiles Substiles NNP A34005 2147 4 distance distance NN A34005 2147 5 being be VBG A34005 2147 6 known know VBN A34005 2147 7 , , , A34005 2147 8 As as IN A34005 2147 9 the the DT A34005 2147 10 Radius Radius NNP A34005 2147 11 , , , A34005 2147 12 To to IN A34005 2147 13 the the DT A34005 2147 14 Sine Sine NNP A34005 2147 15 of of IN A34005 2147 16 the the DT A34005 2147 17 Substiles Substiles NNP A34005 2147 18 distance distance NN A34005 2147 19 from from IN A34005 2147 20 the the DT A34005 2147 21 Meridian Meridian NNP A34005 2147 22 , , , A34005 2147 23 So so RB A34005 2147 24 is be VBZ A34005 2147 25 the the DT A34005 2147 26 Cotangent Cotangent NNP A34005 2147 27 of of IN A34005 2147 28 the the DT A34005 2147 29 Declination declination NN A34005 2147 30 , , , A34005 2147 31 To to IN A34005 2147 32 the the DT A34005 2147 33 Tangent tangent NN A34005 2147 34 of of IN A34005 2147 35 the the DT A34005 2147 36 Stiles Stiles NNP A34005 2147 37 height height NN A34005 2147 38 . . . A34005 2148 1 Or or CC A34005 2148 2 , , , A34005 2148 3 The the DT A34005 2148 4 Inclination Inclination NNP A34005 2148 5 of of IN A34005 2148 6 Meridians Meridians NNPS A34005 2148 7 being be VBG A34005 2148 8 known know VBN A34005 2148 9 . . . A34005 2149 1 As as IN A34005 2149 2 the the DT A34005 2149 3 Radius Radius NNP A34005 2149 4 , , , A34005 2149 5 To to IN A34005 2149 6 the the DT A34005 2149 7 Cosine Cosine NNP A34005 2149 8 of of IN A34005 2149 9 the the DT A34005 2149 10 Inclination Inclination NNP A34005 2149 11 of of IN A34005 2149 12 Meridians Meridians NNPS A34005 2149 13 , , , A34005 2149 14 So so RB A34005 2149 15 is be VBZ A34005 2149 16 the the DT A34005 2149 17 Cotangent Cotangent NNP A34005 2149 18 of of IN A34005 2149 19 the the DT A34005 2149 20 Latitude Latitude NNP A34005 2149 21 , , , A34005 2149 22 To to IN A34005 2149 23 the the DT A34005 2149 24 Tangent tangent NN A34005 2149 25 of of IN A34005 2149 26 the the DT A34005 2149 27 Stiles Stiles NNP A34005 2149 28 height height NN A34005 2149 29 . . . A34005 2150 1 5 5 CD A34005 2150 2 . . . A34005 2151 1 Lastly lastly RB A34005 2151 2 , , , A34005 2151 3 For for IN A34005 2151 4 the the DT A34005 2151 5 distances distance NNS A34005 2151 6 of of IN A34005 2151 7 the the DT A34005 2151 8 Hour Hour NNP A34005 2151 9 - - HYPH A34005 2151 10 lines line NNS A34005 2151 11 from from IN A34005 2151 12 the the DT A34005 2151 13 Substilar Substilar NNP A34005 2151 14 Line Line NNP A34005 2151 15 . . . A34005 2152 1 As as IN A34005 2152 2 the the DT A34005 2152 3 Radius Radius NNP A34005 2152 4 , , , A34005 2152 5 Is be VBZ A34005 2152 6 to to IN A34005 2152 7 the the DT A34005 2152 8 Sine Sine NNP A34005 2152 9 of of IN A34005 2152 10 the the DT A34005 2152 11 Stiles Stiles NNP A34005 2152 12 height height NN A34005 2152 13 above above IN A34005 2152 14 the the DT A34005 2152 15 Plain Plain NNP A34005 2152 16 , , , A34005 2152 17 So so RB A34005 2152 18 is be VBZ A34005 2152 19 the the DT A34005 2152 20 Tangent Tangent NNP A34005 2152 21 of of IN A34005 2152 22 the the DT A34005 2152 23 Angle angle NN A34005 2152 24 at at IN A34005 2152 25 the the DT A34005 2152 26 Pole Pole NNP A34005 2152 27 , , , A34005 2152 28 To to IN A34005 2152 29 the the DT A34005 2152 30 Tangent tangent NN A34005 2152 31 of of IN A34005 2152 32 the the DT A34005 2152 33 Hours hour NNS A34005 2152 34 distance distance NN A34005 2152 35 from from IN A34005 2152 36 the the DT A34005 2152 37 Substilar Substilar NNP A34005 2152 38 Line Line NNP A34005 2152 39 . . . A34005 2153 1 By by IN A34005 2153 2 the the DT A34005 2153 3 Angle Angle NNP A34005 2153 4 at at IN A34005 2153 5 the the DT A34005 2153 6 Pole Pole NNP A34005 2153 7 , , , A34005 2153 8 is be VBZ A34005 2153 9 meant mean VBN A34005 2153 10 the the DT A34005 2153 11 Ark Ark NNP A34005 2153 12 of of IN A34005 2153 13 difference difference NN A34005 2153 14 between between IN A34005 2153 15 the the DT A34005 2153 16 Ark Ark NNP A34005 2153 17 called call VBD A34005 2153 18 the the DT A34005 2153 19 Inclination Inclination NNP A34005 2153 20 of of IN A34005 2153 21 Meridians Meridians NNPS A34005 2153 22 , , , A34005 2153 23 and and CC A34005 2153 24 the the DT A34005 2153 25 distance distance NN A34005 2153 26 of of IN A34005 2153 27 any any DT A34005 2153 28 hour hour NN A34005 2153 29 from from IN A34005 2153 30 the the DT A34005 2153 31 Meridian Meridian NNP A34005 2153 32 , , , A34005 2153 33 for for IN A34005 2153 34 all all DT A34005 2153 35 hours hour NNS A34005 2153 36 on on IN A34005 2153 37 the the DT A34005 2153 38 same same JJ A34005 2153 39 side side NN A34005 2153 40 the the DT A34005 2153 41 Substile Substile NNP A34005 2153 42 falls fall NNS A34005 2153 43 , , , A34005 2153 44 and and CC A34005 2153 45 the the DT A34005 2153 46 sum sum NN A34005 2153 47 of of IN A34005 2153 48 these these DT A34005 2153 49 two two CD A34005 2153 50 Arks ark NNS A34005 2153 51 for for IN A34005 2153 52 all all DT A34005 2153 53 hours hour NNS A34005 2153 54 on on IN A34005 2153 55 the the DT A34005 2153 56 other other JJ A34005 2153 57 side side NN A34005 2153 58 the the DT A34005 2153 59 Substile Substile NNP A34005 2153 60 . . . A34005 2154 1 These these DT A34005 2154 2 Proportions proportion NNS A34005 2154 3 are be VBP A34005 2154 4 sufficient sufficient JJ A34005 2154 5 for for IN A34005 2154 6 all all DT A34005 2154 7 Plains Plains NNPS A34005 2154 8 to to TO A34005 2154 9 find find VB A34005 2154 10 the the DT A34005 2154 11 like like IN A34005 2154 12 Arks Arks NNP A34005 2154 13 , , , A34005 2154 14 without without IN A34005 2154 15 having have VBG A34005 2154 16 any any DT A34005 2154 17 more more JJR A34005 2154 18 , , , A34005 2154 19 if if IN A34005 2154 20 the the DT A34005 2154 21 manner manner NN A34005 2154 22 of of IN A34005 2154 23 referring refer VBG A34005 2154 24 Declining Declining NNP A34005 2154 25 Reclining recline VBG A34005 2154 26 Inclining incline VBG A34005 2154 27 Plains Plains NNPS A34005 2154 28 to to IN A34005 2154 29 a a DT A34005 2154 30 new new JJ A34005 2154 31 Latitude Latitude NNP A34005 2154 32 , , , A34005 2154 33 and and CC A34005 2154 34 a a DT A34005 2154 35 new new JJ A34005 2154 36 Declination declination NN A34005 2154 37 in in IN A34005 2154 38 which which WDT A34005 2154 39 they -PRON- PRP A34005 2154 40 shall shall MD A34005 2154 41 stand stand VB A34005 2154 42 as as IN A34005 2154 43 upright upright JJ A34005 2154 44 Plains Plains NNPS A34005 2154 45 , , , A34005 2154 46 be be VB A34005 2154 47 but but CC A34005 2154 48 well well RB A34005 2154 49 explained explain VBN A34005 2154 50 , , , A34005 2154 51 for for IN A34005 2154 52 East East NNP A34005 2154 53 or or CC A34005 2154 54 West West NNP A34005 2154 55 Reclining Reclining NNP A34005 2154 56 Inclining incline VBG A34005 2154 57 Plains Plains NNPS A34005 2154 58 , , , A34005 2154 59 their -PRON- PRP$ A34005 2154 60 new new JJ A34005 2154 61 Latitude Latitude NNP A34005 2154 62 is be VBZ A34005 2154 63 the the DT A34005 2154 64 Complement Complement NNP A34005 2154 65 of of IN A34005 2154 66 their -PRON- PRP$ A34005 2154 67 old old JJ A34005 2154 68 Latitude Latitude NNP A34005 2154 69 , , , A34005 2154 70 and and CC A34005 2154 71 their -PRON- PRP$ A34005 2154 72 new new JJ A34005 2154 73 Declination declination NN A34005 2154 74 , , , A34005 2154 75 is be VBZ A34005 2154 76 the the DT A34005 2154 77 Complement Complement NNP A34005 2154 78 of of IN A34005 2154 79 their -PRON- PRP$ A34005 2154 80 Reclination Reclination NNP A34005 2154 81 Inclination Inclination NNP A34005 2154 82 , , , A34005 2154 83 which which WDT A34005 2154 84 I -PRON- PRP A34005 2154 85 count count VBP A34005 2154 86 always always RB A34005 2154 87 from from IN A34005 2154 88 the the DT A34005 2154 89 Zenith Zenith NNP A34005 2154 90 , , , A34005 2154 91 and and CC A34005 2154 92 upon upon IN A34005 2154 93 such such PDT A34005 2154 94 a a DT A34005 2154 95 supposition supposition NN A34005 2154 96 , , , A34005 2154 97 taking take VBG A34005 2154 98 their -PRON- PRP$ A34005 2154 99 new new JJ A34005 2154 100 Latitude Latitude NNP A34005 2154 101 and and CC A34005 2154 102 Declination Declination NNP A34005 2154 103 , , , A34005 2154 104 those those DT A34005 2154 105 that that WDT A34005 2154 106 will will MD A34005 2154 107 try try VB A34005 2154 108 , , , A34005 2154 109 shall shall MD A34005 2154 110 find find VB A34005 2154 111 that that IN A34005 2154 112 these these DT A34005 2154 113 Proportions Proportions NNPS A34005 2154 114 will will MD A34005 2154 115 calculate calculate VB A34005 2154 116 all all PDT A34005 2154 117 the the DT A34005 2154 118 Arks Arks NNP A34005 2154 119 necessary necessary JJ A34005 2154 120 to to IN A34005 2154 121 such such JJ A34005 2154 122 Dials dial NNS A34005 2154 123 . . . A34005 2155 1 So so RB A34005 2155 2 if if IN A34005 2155 3 an an DT A34005 2155 4 Upright Upright NNP A34005 2155 5 Plain Plain NNP A34005 2155 6 decline decline NN A34005 2155 7 25d 25d NNS A34005 2155 8 in in IN A34005 2155 9 our -PRON- PRP$ A34005 2155 10 Latitude Latitude NNP A34005 2155 11 of of IN A34005 2155 12 London London NNP A34005 2155 13 from from IN A34005 2155 14 the the DT A34005 2155 15 Meridian Meridian NNP A34005 2155 16 . . . A34005 2156 1 The the DT A34005 2156 2 Substiles Substiles NNP A34005 2156 3 distance distance NN A34005 2156 4 from from IN A34005 2156 5 the the DT A34005 2156 6 Meridian Meridian NNP A34005 2156 7 is be VBZ A34005 2156 8 — — : A34005 2156 9 18d 18d NNS A34005 2156 10 34′ 34′ . A34005 2156 11 The the DT A34005 2156 12 Angle Angle NNP A34005 2156 13 of of IN A34005 2156 14 12 12 CD A34005 2156 15 and and CC A34005 2156 16 6 6 CD A34005 2156 17 is be VBZ A34005 2156 18 — — : A34005 2156 19 62 62 CD A34005 2156 20 : : SYM A34005 2156 21 00 00 NFP A34005 2156 22 The the DT A34005 2156 23 Inclination Inclination NNP A34005 2156 24 of of IN A34005 2156 25 Meridians Meridians NNPS A34005 2156 26 is be VBZ A34005 2156 27 — — : A34005 2156 28 30 30 CD A34005 2156 29 : : : A34005 2156 30 47 47 CD A34005 2156 31 The the DT A34005 2156 32 Stiles Stiles NNP A34005 2156 33 height height NN A34005 2156 34 is be VBZ A34005 2156 35 — — : A34005 2156 36 34 34 CD A34005 2156 37 : : SYM A34005 2156 38 19 19 CD A34005 2156 39 To to TO A34005 2156 40 Delineate Delineate NNP A34005 2156 41 the the DT A34005 2156 42 same same JJ A34005 2156 43 Dial Dial NNP A34005 2156 44 from from IN A34005 2156 45 the the DT A34005 2156 46 Substile Substile NNP A34005 2156 47 by by IN A34005 2156 48 the the DT A34005 2156 49 Line Line NNP A34005 2156 50 of of IN A34005 2156 51 Latitudes Latitudes NNP A34005 2156 52 , , , A34005 2156 53 and and CC A34005 2156 54 Scale scale NN A34005 2156 55 of of IN A34005 2156 56 hours hour NNS A34005 2156 57 in in IN A34005 2156 58 an an DT A34005 2156 59 Equicrutal Equicrutal NNP A34005 2156 60 Triangle Triangle NNP A34005 2156 61 . . . A34005 2157 1 To to TO A34005 2157 2 Draw draw VB A34005 2157 3 an an DT A34005 2157 4 Vpright Vpright NNP A34005 2157 5 Decliner Decliner NNP A34005 2157 6 . . . A34005 2158 1 An an DT A34005 2158 2 Vpright Vpright NNP A34005 2158 3 South South NNP A34005 2158 4 Plain Plain NNP A34005 2158 5 for for IN A34005 2158 6 the the DT A34005 2158 7 Latitude Latitude NNP A34005 2158 8 of of IN A34005 2158 9 London London NNP A34005 2158 10 , , , A34005 2158 11 Declining Declining NNP A34005 2158 12 25d 25d NNS A34005 2158 13 Eastwards eastward NNS A34005 2158 14 . . . A34005 2159 1 TO to TO A34005 2159 2 prick prick VB A34005 2159 3 down down RP A34005 2159 4 this this DT A34005 2159 5 Dial Dial NNP A34005 2159 6 by by IN A34005 2159 7 the the DT A34005 2159 8 line line NN A34005 2159 9 of of IN A34005 2159 10 Latitudes Latitudes NNP A34005 2159 11 , , , A34005 2159 12 and and CC A34005 2159 13 Scale Scale NNP A34005 2159 14 of of IN A34005 2159 15 Hours Hours NNPS A34005 2159 16 in in IN A34005 2159 17 an an DT A34005 2159 18 Isoceles Isoceles NNP A34005 2159 19 Triangle Triangle NNP A34005 2159 20 . . . A34005 2160 1 Draw draw VB A34005 2160 2 C C NNP A34005 2160 3 12 12 CD A34005 2160 4 the the DT A34005 2160 5 Meridian Meridian NNP A34005 2160 6 Line Line NNP A34005 2160 7 perpendicular perpendicular JJ A34005 2160 8 to to IN A34005 2160 9 the the DT A34005 2160 10 Horizontal horizontal JJ A34005 2160 11 line line NN A34005 2160 12 of of IN A34005 2160 13 the the DT A34005 2160 14 Plain Plain NNP A34005 2160 15 , , , A34005 2160 16 and and CC A34005 2160 17 with with IN A34005 2160 18 a a DT A34005 2160 19 line line NN A34005 2160 20 of of IN A34005 2160 21 Chords Chords NNPS A34005 2160 22 , , , A34005 2160 23 make make VB A34005 2160 24 the the DT A34005 2160 25 Angle Angle NNP A34005 2160 26 F F NNP A34005 2160 27 C C NNP A34005 2160 28 12 12 CD A34005 2160 29 , , , A34005 2160 30 equal equal JJ A34005 2160 31 to to IN A34005 2160 32 the the DT A34005 2160 33 Substiles Substiles NNP A34005 2160 34 distance distance NN A34005 2160 35 from from IN A34005 2160 36 the the DT A34005 2160 37 Meridian Meridian NNP A34005 2160 38 , , , A34005 2160 39 and and CC A34005 2160 40 draw draw VB A34005 2160 41 the the DT A34005 2160 42 line line NN A34005 2160 43 F F NNP A34005 2160 44 C C NNP A34005 2160 45 for for IN A34005 2160 46 the the DT A34005 2160 47 Substile Substile NNP A34005 2160 48 ; ; : A34005 2160 49 Draw draw VB A34005 2160 50 the the DT A34005 2160 51 line line NN A34005 2160 52 B B NNP A34005 2160 53 A A NNP A34005 2160 54 perpendicular perpendicular JJ A34005 2160 55 thereto thereto NN A34005 2160 56 , , , A34005 2160 57 and and CC A34005 2160 58 passing pass VBG A34005 2160 59 through through IN A34005 2160 60 the the DT A34005 2160 61 Center Center NNP A34005 2160 62 at at IN A34005 2160 63 C C NNP A34005 2160 64 , , , A34005 2160 65 and and CC A34005 2160 66 out out IN A34005 2160 67 of of IN A34005 2160 68 the the DT A34005 2160 69 line line NN A34005 2160 70 of of IN A34005 2160 71 Latitudes Latitudes NNP A34005 2160 72 on on IN A34005 2160 73 the the DT A34005 2160 74 other other JJ A34005 2160 75 Quadrants Quadrants NNPS A34005 2160 76 , , , A34005 2160 77 or or CC A34005 2160 78 out out IN A34005 2160 79 of of IN A34005 2160 80 the the DT A34005 2160 81 Quadrant Quadrant NNP A34005 2160 82 of of IN A34005 2160 83 Latitudes Latitudes NNP A34005 2160 84 on on IN A34005 2160 85 this this DT A34005 2160 86 Quadrant Quadrant NNP A34005 2160 87 , , , A34005 2160 88 set set VBN A34005 2160 89 off off RP A34005 2160 90 B B NNP A34005 2160 91 C C NNP A34005 2160 92 and and CC A34005 2160 93 C C NNP A34005 2160 94 A A NNP A34005 2160 95 each each DT A34005 2160 96 equal equal JJ A34005 2160 97 to to IN A34005 2160 98 the the DT A34005 2160 99 Stiles Stiles NNP A34005 2160 100 height height NN A34005 2160 101 , , , A34005 2160 102 then then RB A34005 2160 103 fit fit VB A34005 2160 104 in in IN A34005 2160 105 the the DT A34005 2160 106 Scale Scale NNP A34005 2160 107 of of IN A34005 2160 108 6 6 CD A34005 2160 109 hours hour NNS A34005 2160 110 , , , A34005 2160 111 proper proper JJ A34005 2160 112 to to IN A34005 2160 113 those those DT A34005 2160 114 Latitudes latitude NNS A34005 2160 115 , , , A34005 2160 116 so so IN A34005 2160 117 that that IN A34005 2160 118 one one CD A34005 2160 119 Extremity Extremity NNP A34005 2160 120 meeting meeting NN A34005 2160 121 at at IN A34005 2160 122 A a NN A34005 2160 123 , , , A34005 2160 124 the the DT A34005 2160 125 other other JJ A34005 2160 126 may may MD A34005 2160 127 meet meet VB A34005 2160 128 with with IN A34005 2160 129 the the DT A34005 2160 130 Substilar substilar JJ A34005 2160 131 line line NN A34005 2160 132 at at IN A34005 2160 133 F. F. NNP A34005 2160 134 Then then RB A34005 2160 135 get get VB A34005 2160 136 the the DT A34005 2160 137 difference difference NN A34005 2160 138 between between IN A34005 2160 139 30d 30d CD A34005 2160 140 47′ 47′ CD A34005 2160 141 , , , A34005 2160 142 the the DT A34005 2160 143 inclination inclination NN A34005 2160 144 of of IN A34005 2160 145 Meridians Meridians NNPS A34005 2160 146 , , , A34005 2160 147 and and CC A34005 2160 148 30d 30d CD A34005 2160 149 the the DT A34005 2160 150 next next JJ A34005 2160 151 hours hour NNS A34005 2160 152 distance distance NN A34005 2160 153 lesser less JJR A34005 2160 154 then then RB A34005 2160 155 the the DT A34005 2160 156 said say VBD A34005 2160 157 Ark Ark NNP A34005 2160 158 , , , A34005 2160 159 the the DT A34005 2160 160 difference difference NN A34005 2160 161 is be VBZ A34005 2160 162 47′ 47′ CD A34005 2160 163 in in IN A34005 2160 164 time time NN A34005 2160 165 , , , A34005 2160 166 3′ 3′ NNP A34005 2160 167 nearest near RBS A34005 2160 168 then then RB A34005 2160 169 fitting fit VBG A34005 2160 170 in in IN A34005 2160 171 the the DT A34005 2160 172 Scale scale NN A34005 2160 173 of of IN A34005 2160 174 hours hour NNS A34005 2160 175 as as IN A34005 2160 176 was be VBD A34005 2160 177 prescribed prescribe VBN A34005 2160 178 . . . A34005 2161 1 Count count VB A34005 2161 2 upon upon IN A34005 2161 3 the the DT A34005 2161 4 said say VBN A34005 2161 5 Scale Scale NNP A34005 2161 6 , , , A34005 2161 7 Hour Hour NNP A34005 2161 8 . . . A34005 2162 1 Min Min NNP A34005 2162 2 . . . A34005 2163 1 0 0 NFP A34005 2163 2 3 3 CD A34005 2163 3 from from IN A34005 2163 4 F F NNP A34005 2163 5 to to IN A34005 2163 6 10 10 CD A34005 2163 7 1 1 CD A34005 2163 8 3 3 CD A34005 2163 9 11 11 CD A34005 2163 10 2 2 CD A34005 2163 11 3 3 CD A34005 2163 12 12 12 CD A34005 2163 13 3 3 CD A34005 2163 14 3 3 CD A34005 2163 15 1 1 CD A34005 2163 16 4 4 CD A34005 2163 17 3 3 CD A34005 2163 18 2 2 CD A34005 2163 19 5 5 CD A34005 2163 20 3 3 CD A34005 2163 21 3 3 CD A34005 2163 22 And and CC A34005 2163 23 make make VB A34005 2163 24 points point NNS A34005 2163 25 at at IN A34005 2163 26 the the DT A34005 2163 27 terminations termination NNS A34005 2163 28 with with IN A34005 2163 29 a a DT A34005 2163 30 pin pin NN A34005 2163 31 or or CC A34005 2163 32 pen pen VB A34005 2163 33 , , , A34005 2163 34 & & CC A34005 2163 35 draw draw VBP A34005 2163 36 lines line NNS A34005 2163 37 from from IN A34005 2163 38 those those DT A34005 2163 39 points point NNS A34005 2163 40 into into IN A34005 2163 41 the the DT A34005 2163 42 Center Center NNP A34005 2163 43 at at IN A34005 2163 44 C C NNP A34005 2163 45 , , , A34005 2163 46 & & CC A34005 2163 47 they -PRON- PRP A34005 2163 48 shall shall MD A34005 2163 49 be be VB A34005 2163 50 the the DT A34005 2163 51 true true JJ A34005 2163 52 hour hour NN A34005 2163 53 - - HYPH A34005 2163 54 lines line NNS A34005 2163 55 required require VBN A34005 2163 56 on on IN A34005 2163 57 this this DT A34005 2163 58 side side NN A34005 2163 59 the the DT A34005 2163 60 Substile Substile NNP A34005 2163 61 . . . A34005 2164 1 Again again RB A34005 2164 2 , , , A34005 2164 3 Fitting fit VBG A34005 2164 4 in in IN A34005 2164 5 the the DT A34005 2164 6 Scale scale NN A34005 2164 7 of of IN A34005 2164 8 Hours hour NNS A34005 2164 9 from from IN A34005 2164 10 B b NN A34005 2164 11 to to IN A34005 2164 12 F f NN A34005 2164 13 , , , A34005 2164 14 count count VB A34005 2164 15 from from IN A34005 2164 16 that that DT A34005 2164 17 end end NN A34005 2164 18 at at IN A34005 2164 19 B b NN A34005 2164 20 the the DT A34005 2164 21 former former JJ A34005 2164 22 Arks Arks NNP A34005 2164 23 of of IN A34005 2164 24 time time NN A34005 2164 25 . . . A34005 2165 1 Ho Ho NNP A34005 2165 2 Min Min NNP A34005 2165 3     _SP A34005 2165 4 00 00 CD A34005 2165 5 , , , A34005 2165 6 03 03 CD A34005 2165 7 from from IN A34005 2165 8 B b NN A34005 2165 9 to to IN A34005 2165 10 4 4 CD A34005 2165 11 1 1 CD A34005 2165 12 , , , A34005 2165 13 3 3 CD A34005 2165 14 5 5 CD A34005 2165 15 2 2 CD A34005 2165 16 , , , A34005 2165 17 3 3 CD A34005 2165 18 6 6 CD A34005 2165 19 3 3 CD A34005 2165 20 , , , A34005 2165 21 3 3 CD A34005 2165 22 7 7 CD A34005 2165 23 4 4 CD A34005 2165 24 , , , A34005 2165 25 3 3 CD A34005 2165 26 8 8 CD A34005 2165 27 5 5 CD A34005 2165 28 , , , A34005 2165 29 3 3 CD A34005 2165 30 9 9 CD A34005 2165 31 And and CC A34005 2165 32 make make VB A34005 2165 33 Points point NNS A34005 2165 34 at at IN A34005 2165 35 the the DT A34005 2165 36 Terminations Terminations NNPS A34005 2165 37 , , , A34005 2165 38 through through IN A34005 2165 39 which which WDT A34005 2165 40 draw draw VBP A34005 2165 41 Lines line NNS A34005 2165 42 into into IN A34005 2165 43 the the DT A34005 2165 44 Center Center NNP A34005 2165 45 , , , A34005 2165 46 and and CC A34005 2165 47 they -PRON- PRP A34005 2165 48 shall shall MD A34005 2165 49 be be VB A34005 2165 50 the the DT A34005 2165 51 hour hour NN A34005 2165 52 Lines line NNS A34005 2165 53 required require VBN A34005 2165 54 on on IN A34005 2165 55 the the DT A34005 2165 56 other other JJ A34005 2165 57 side side NN A34005 2165 58 the the DT A34005 2165 59 Substile Substile NNP A34005 2165 60 . . . A34005 2166 1 The the DT A34005 2166 2 like like NN A34005 2166 3 must must MD A34005 2166 4 be be VB A34005 2166 5 done do VBN A34005 2166 6 for for IN A34005 2166 7 the the DT A34005 2166 8 halfs halfs NNP A34005 2166 9 and and CC A34005 2166 10 quarters quarter NNS A34005 2166 11 , , , A34005 2166 12 getting get VBG A34005 2166 13 the the DT A34005 2166 14 difference difference NN A34005 2166 15 between between IN A34005 2166 16 the the DT A34005 2166 17 half half JJ A34005 2166 18 hour hour NN A34005 2166 19 next next JJ A34005 2166 20 lesser less JJR A34005 2166 21 ( ( -LRB- A34005 2166 22 in in IN A34005 2166 23 this this DT A34005 2166 24 Example Example NNP A34005 2166 25 22d 22d CD A34005 2166 26 30′ 30′ CD A34005 2166 27 ) ) -RRB- A34005 2166 28 under under IN A34005 2166 29 the the DT A34005 2166 30 Ark Ark NNP A34005 2166 31 called call VBD A34005 2166 32 the the DT A34005 2166 33 inclination inclination NN A34005 2166 34 of of IN A34005 2166 35 Meridians Meridians NNPS A34005 2166 36 , , , A34005 2166 37 the the DT A34005 2166 38 difference difference NN A34005 2166 39 is be VBZ A34005 2166 40 1d 1d CD A34005 2166 41 17′ 17′ CD A34005 2166 42 in in IN A34005 2166 43 time time NN A34005 2166 44 33′ 33′ CD A34005 2166 45 nearest near JJS A34005 2166 46 to to TO A34005 2166 47 be be VB A34005 2166 48 continually continually RB A34005 2166 49 augmented augment VBN A34005 2166 50 an an DT A34005 2166 51 hour hour NN A34005 2166 52 at at IN A34005 2166 53 a a DT A34005 2166 54 time time NN A34005 2166 55 , , , A34005 2166 56 and and CC A34005 2166 57 so so RB A34005 2166 58 prickt prickt VBZ A34005 2166 59 off off RP A34005 2166 60 as as IN A34005 2166 61 before before RB A34005 2166 62 was be VBD A34005 2166 63 done do VBN A34005 2166 64 for for IN A34005 2166 65 the the DT A34005 2166 66 whole whole JJ A34005 2166 67 hours hour NNS A34005 2166 68 . . . A34005 2167 1 By by IN A34005 2167 2 three three CD A34005 2167 3 facil facil NN A34005 2167 4 Proportions Proportions NNP A34005 2167 5 , , , A34005 2167 6 may may MD A34005 2167 7 be be VB A34005 2167 8 found find VBN A34005 2167 9 the the DT A34005 2167 10 Stiles Stiles NNP A34005 2167 11 height height NN A34005 2167 12 , , , A34005 2167 13 the the DT A34005 2167 14 Inclination Inclination NNP A34005 2167 15 of of IN A34005 2167 16 Meridians Meridians NNPS A34005 2167 17 , , , A34005 2167 18 and and CC A34005 2167 19 the the DT A34005 2167 20 Substiles Substiles NNP A34005 2167 21 distance distance NN A34005 2167 22 from from IN A34005 2167 23 the the DT A34005 2167 24 Plains Plains NNPS A34005 2167 25 perpendicular perpendicular NN A34005 2167 26 , , , A34005 2167 27 for for IN A34005 2167 28 all all DT A34005 2167 29 Plains Plains NNPS A34005 2167 30 Declining Declining NNP A34005 2167 31 , , , A34005 2167 32 Reclining reclining NN A34005 2167 33 , , , A34005 2167 34 or or CC A34005 2167 35 Inclining inclining NN A34005 2167 36 , , , A34005 2167 37 which which WDT A34005 2167 38 are be VBP A34005 2167 39 sufficient sufficient JJ A34005 2167 40 to to TO A34005 2167 41 prick prick VB A34005 2167 42 off off RP A34005 2167 43 the the DT A34005 2167 44 Dyal Dyal NNP A34005 2167 45 after after IN A34005 2167 46 the the DT A34005 2167 47 manner manner NN A34005 2167 48 here here RB A34005 2167 49 described describe VBN A34005 2167 50 , , , A34005 2167 51 which which WDT A34005 2167 52 must must MD A34005 2167 53 be be VB A34005 2167 54 referred refer VBN A34005 2167 55 to to IN A34005 2167 56 another another DT A34005 2167 57 place place NN A34005 2167 58 . . . A34005 2168 1 If if IN A34005 2168 2 the the DT A34005 2168 3 Scale scale NN A34005 2168 4 of of IN A34005 2168 5 hours hour NNS A34005 2168 6 reach reach VBP A34005 2168 7 above above IN A34005 2168 8 the the DT A34005 2168 9 Plain Plain NNP A34005 2168 10 , , , A34005 2168 11 as as IN A34005 2168 12 at at IN A34005 2168 13 B b NN A34005 2168 14 , , , A34005 2168 15 so so IN A34005 2168 16 that that IN A34005 2168 17 B b NN A34005 2168 18 C C NNP A34005 2168 19 can can MD A34005 2168 20 not not RB A34005 2168 21 be be VB A34005 2168 22 pricked prick VBN A34005 2168 23 down down RP A34005 2168 24 , , , A34005 2168 25 then then RB A34005 2168 26 may may MD A34005 2168 27 an an DT A34005 2168 28 Angle Angle NNP A34005 2168 29 be be VB A34005 2168 30 prickt prickt NNS A34005 2168 31 off off RP A34005 2168 32 with with IN A34005 2168 33 Chords Chords NNPS A34005 2168 34 on on IN A34005 2168 35 the the DT A34005 2168 36 upper upper JJ A34005 2168 37 side side NN A34005 2168 38 the the DT A34005 2168 39 Substile Substile NNP A34005 2168 40 , , , A34005 2168 41 equal equal JJ A34005 2168 42 to to IN A34005 2168 43 the the DT A34005 2168 44 Angle Angle NNP A34005 2168 45 F F NNP A34005 2168 46 C C NNP A34005 2168 47 A A NNP A34005 2168 48 , , , A34005 2168 49 on on IN A34005 2168 50 the the DT A34005 2168 51 under under JJ A34005 2168 52 side side NN A34005 2168 53 , , , A34005 2168 54 and and CC A34005 2168 55 thereby thereby RB A34005 2168 56 the the DT A34005 2168 57 Scale scale NN A34005 2168 58 of of IN A34005 2168 59 hours hour NNS A34005 2168 60 laid lay VBN A34005 2168 61 in in IN A34005 2168 62 its -PRON- PRP$ A34005 2168 63 true true JJ A34005 2168 64 situation situation NN A34005 2168 65 , , , A34005 2168 66 having have VBG A34005 2168 67 first first RB A34005 2168 68 found find VBN A34005 2168 69 the the DT A34005 2168 70 point point NN A34005 2168 71 F f NN A34005 2168 72 on on IN A34005 2168 73 the the DT A34005 2168 74 under under JJ A34005 2168 75 side side NN A34005 2168 76 . . . A34005 2169 1 To to TO A34005 2169 2 prick prick VB A34005 2169 3 down down RP A34005 2169 4 the the DT A34005 2169 5 former former JJ A34005 2169 6 Dyal Dyal NNP A34005 2169 7 in in IN A34005 2169 8 a a DT A34005 2169 9 Rectangular Rectangular NNP A34005 2169 10 ☉ ☉ NNP A34005 2169 11 blong blong NN A34005 2169 12 , , , A34005 2169 13 or or CC A34005 2169 14 long long JJ A34005 2169 15 square square JJ A34005 2169 16 Figure figure NN A34005 2169 17 from from IN A34005 2169 18 the the DT A34005 2169 19 Substile Substile NNP A34005 2169 20 . . . A34005 2170 1 Having have VBG A34005 2170 2 set set VBN A34005 2170 3 off off RP A34005 2170 4 the the DT A34005 2170 5 Substilar Substilar NNP A34005 2170 6 F F NNP A34005 2170 7 C C NNP A34005 2170 8 , , , A34005 2170 9 assume assume VBP A34005 2170 10 any any DT A34005 2170 11 distance distance NN A34005 2170 12 in in IN A34005 2170 13 it -PRON- PRP A34005 2170 14 , , , A34005 2170 15 as as IN A34005 2170 16 at at IN A34005 2170 17 F F NNP A34005 2170 18 to to TO A34005 2170 19 be be VB A34005 2170 20 the the DT A34005 2170 21 Radius Radius NNP A34005 2170 22 , , , A34005 2170 23 and and CC A34005 2170 24 through through IN A34005 2170 25 the the DT A34005 2170 26 fame fame NN A34005 2170 27 at at IN A34005 2170 28 right right JJ A34005 2170 29 Angles Angles NNP A34005 2170 30 , , , A34005 2170 31 draw draw VB A34005 2170 32 the the DT A34005 2170 33 line line NN A34005 2170 34 E e NN A34005 2170 35 F f NN A34005 2170 36 D d NN A34005 2170 37 , , , A34005 2170 38 then then RB A34005 2170 39 having have VBG A34005 2170 40 made make VBN A34005 2170 41 F F NNP A34005 2170 42 C C NNP A34005 2170 43 any any DT A34005 2170 44 distance distance NN A34005 2170 45 Radius Radius NNP A34005 2170 46 , , , A34005 2170 47 take take VB A34005 2170 48 out out RP A34005 2170 49 the the DT A34005 2170 50 Sine Sine NNP A34005 2170 51 of of IN A34005 2170 52 the the DT A34005 2170 53 Stiles Stiles NNP A34005 2170 54 height height RB A34005 2170 55 to to IN A34005 2170 56 the the DT A34005 2170 57 same same JJ A34005 2170 58 Radius Radius NNP A34005 2170 59 , , , A34005 2170 60 and and CC A34005 2170 61 entring entre VBG A34005 2170 62 it -PRON- PRP A34005 2170 63 at at IN A34005 2170 64 the the DT A34005 2170 65 end end NN A34005 2170 66 of of IN A34005 2170 67 the the DT A34005 2170 68 Scale scale NN A34005 2170 69 of of IN A34005 2170 70 three three CD A34005 2170 71 hours hour NNS A34005 2170 72 , , , A34005 2170 73 make make VB A34005 2170 74 it -PRON- PRP A34005 2170 75 the the DT A34005 2170 76 Radius Radius NNP A34005 2170 77 of of IN A34005 2170 78 a a DT A34005 2170 79 Tangent Tangent NNP A34005 2170 80 , , , A34005 2170 81 and and CC A34005 2170 82 proportion proportion VB A34005 2170 83 out out RP A34005 2170 84 Tangents tangent NNS A34005 2170 85 to to IN A34005 2170 86 3′ 3′ CD A34005 2170 87 and and CC A34005 2170 88 set set VBD A34005 2170 89 them -PRON- PRP A34005 2170 90 off off RP A34005 2170 91 from from IN A34005 2170 92 F F NNP A34005 2170 93 to to IN A34005 2170 94 10 10 CD A34005 2170 95 1 1 CD A34005 2170 96 hour hour NN A34005 2170 97 3 3 CD A34005 2170 98 and and CC A34005 2170 99 set set VBD A34005 2170 100 them -PRON- PRP A34005 2170 101 off off RP A34005 2170 102 from from IN A34005 2170 103 F F NNP A34005 2170 104 to to IN A34005 2170 105 G G NNP A34005 2170 106 2 2 CD A34005 2170 107 3 3 CD A34005 2170 108 and and CC A34005 2170 109 set set VBD A34005 2170 110 them -PRON- PRP A34005 2170 111 off off RP A34005 2170 112 from from IN A34005 2170 113 F F NNP A34005 2170 114 to to IN A34005 2170 115 H H NNP A34005 2170 116 Again again RB A34005 2170 117 , , , A34005 2170 118 Take take VB A34005 2170 119 out out RP A34005 2170 120 the the DT A34005 2170 121 Tangents tangent NNS A34005 2170 122 of of IN A34005 2170 123 the the DT A34005 2170 124 Complement Complement NNP A34005 2170 125 of of IN A34005 2170 126 the the DT A34005 2170 127 first first JJ A34005 2170 128 Ark Ark NNP A34005 2170 129 , , , A34005 2170 130 increasing increase VBG A34005 2170 131 it -PRON- PRP A34005 2170 132 each each DT A34005 2170 133 time time NN A34005 2170 134 by by IN A34005 2170 135 the the DT A34005 2170 136 augmentation augmentation NN A34005 2170 137 of of IN A34005 2170 138 an an DT A34005 2170 139 hour hour NN A34005 2170 140 , , , A34005 2170 141 namely namely RB A34005 2170 142 57′ 57′ NNP A34005 2170 143 and and CC A34005 2170 144 prick prick VB A34005 2170 145 them -PRON- PRP A34005 2170 146 from from IN A34005 2170 147 F F NNP A34005 2170 148 to to IN A34005 2170 149 I -PRON- PRP A34005 2170 150 and and CC A34005 2170 151 from from IN A34005 2170 152 the the DT A34005 2170 153 points point NNS A34005 2170 154 1 1 CD A34005 2170 155 ho ho NN A34005 2170 156 . . . A34005 2171 1 57 57 CD A34005 2171 2 and and CC A34005 2171 3 prick prick VB A34005 2171 4 them -PRON- PRP A34005 2171 5 from from IN A34005 2171 6 F F NNP A34005 2171 7 to to IN A34005 2171 8 K K NNP A34005 2171 9 and and CC A34005 2171 10 from from IN A34005 2171 11 the the DT A34005 2171 12 points point NNS A34005 2171 13 2 2 CD A34005 2171 14 57 57 CD A34005 2171 15 and and CC A34005 2171 16 prick prick VB A34005 2171 17 them -PRON- PRP A34005 2171 18 from from IN A34005 2171 19 F F NNP A34005 2171 20 to to IN A34005 2171 21 E E NNP A34005 2171 22 and and CC A34005 2171 23 from from IN A34005 2171 24 the the DT A34005 2171 25 points point NNS A34005 2171 26 thus thus RB A34005 2171 27 found find VBD A34005 2171 28 , , , A34005 2171 29 draw draw VB A34005 2171 30 lines line NNS A34005 2171 31 into into IN A34005 2171 32 the the DT A34005 2171 33 Center Center NNP A34005 2171 34 . . . A34005 2172 1 Then then RB A34005 2172 2 for for IN A34005 2172 3 the the DT A34005 2172 4 other other JJ A34005 2172 5 sides side NNS A34005 2172 6 of of IN A34005 2172 7 the the DT A34005 2172 8 Square Square NNP A34005 2172 9 , , , A34005 2172 10 make make VB A34005 2172 11 C C NNP A34005 2172 12 F F NNP A34005 2172 13 the the DT A34005 2172 14 Radius Radius NNP A34005 2172 15 of of IN A34005 2172 16 the the DT A34005 2172 17 Dyalling Dyalling NNP A34005 2172 18 Tangent tangent NN A34005 2172 19 of of IN A34005 2172 20 3 3 CD A34005 2172 21 hours hour NNS A34005 2172 22 , , , A34005 2172 23 and and CC A34005 2172 24 proportion proportion VB A34005 2172 25 out out RP A34005 2172 26 Tangents tangent NNS A34005 2172 27 to to IN A34005 2172 28 the the DT A34005 2172 29 former former JJ A34005 2172 30 Arks Arks NNP A34005 2172 31 , , , A34005 2172 32 namely namely RB A34005 2172 33 , , , A34005 2172 34 3′ 3′ CD A34005 2172 35 and and CC A34005 2172 36 prick prick VB A34005 2172 37 them -PRON- PRP A34005 2172 38 from from IN A34005 2172 39 B b NN A34005 2172 40 to to IN A34005 2172 41 P p NN A34005 2172 42 Also also RB A34005 2172 43 to to IN A34005 2172 44 the the DT A34005 2172 45 latter latter JJ A34005 2172 46 Arks Arks NNP A34005 2172 47 , , , A34005 2172 48 57′ 57′ NNP A34005 2172 49 and and CC A34005 2172 50 prick prick VB A34005 2172 51 them -PRON- PRP A34005 2172 52 from from IN A34005 2172 53 A a DT A34005 2172 54 to to NN A34005 2172 55 — — : A34005 2172 56 N n NN A34005 2172 57 1 1 CD A34005 2172 58 ho ho NN A34005 2172 59 . . . A34005 2173 1 3 3 LS A34005 2173 2 and and CC A34005 2173 3 prick prick VB A34005 2173 4 them -PRON- PRP A34005 2173 5 from from IN A34005 2173 6 B b NN A34005 2173 7 to to IN A34005 2173 8 O o UH A34005 2173 9 Also also RB A34005 2173 10 to to IN A34005 2173 11 the the DT A34005 2173 12 latter latter JJ A34005 2173 13 Arks Arks NNP A34005 2173 14 . . . A34005 2174 1 1 1 CD A34005 2174 2 h. h. CC A34005 2174 3 57 57 CD A34005 2174 4 and and CC A34005 2174 5 prick prick VB A34005 2174 6 them -PRON- PRP A34005 2174 7 from from IN A34005 2174 8 A a DT A34005 2174 9 to to IN A34005 2174 10 — — : A34005 2174 11 M M NNP A34005 2174 12 2 2 CD A34005 2174 13 3 3 CD A34005 2174 14 and and CC A34005 2174 15 prick prick VB A34005 2174 16 them -PRON- PRP A34005 2174 17 from from IN A34005 2174 18 B b NN A34005 2174 19 to to IN A34005 2174 20 L L NNP A34005 2174 21 Also also RB A34005 2174 22 to to IN A34005 2174 23 the the DT A34005 2174 24 latter latter JJ A34005 2174 25 Arks Arks NNP A34005 2174 26 . . . A34005 2175 1 2 2 CD A34005 2175 2 57 57 CD A34005 2175 3 and and CC A34005 2175 4 prick prick VB A34005 2175 5 them -PRON- PRP A34005 2175 6 from from IN A34005 2175 7 A a NN A34005 2175 8 to to NN A34005 2175 9 — — : A34005 2175 10 D d NN A34005 2175 11 and and CC A34005 2175 12 draw draw VB A34005 2175 13 lines line NNS A34005 2175 14 from from IN A34005 2175 15 these these DT A34005 2175 16 terminations termination NNS A34005 2175 17 into into IN A34005 2175 18 the the DT A34005 2175 19 Center Center NNP A34005 2175 20 , , , A34005 2175 21 and and CC A34005 2175 22 the the DT A34005 2175 23 Hour Hour NNP A34005 2175 24 - - HYPH A34005 2175 25 lines line NNS A34005 2175 26 are be VBP A34005 2175 27 finished finish VBN A34005 2175 28 ; ; : A34005 2175 29 after after IN A34005 2175 30 the the DT A34005 2175 31 same same JJ A34005 2175 32 manner manner NN A34005 2175 33 must must MD A34005 2175 34 the the DT A34005 2175 35 halfs halfs NNP A34005 2175 36 and and CC A34005 2175 37 quarters quarter NNS A34005 2175 38 be be VB A34005 2175 39 finished finish VBN A34005 2175 40 . . . A34005 2176 1 And and CC A34005 2176 2 how how WRB A34005 2176 3 this this DT A34005 2176 4 trouble trouble NN A34005 2176 5 in in IN A34005 2176 6 Proportioning proportion VBG A34005 2176 7 out out RP A34005 2176 8 the the DT A34005 2176 9 Tangents tangent NNS A34005 2176 10 may may MD A34005 2176 11 be be VB A34005 2176 12 shunned shun VBN A34005 2176 13 without without IN A34005 2176 14 drawing draw VBG A34005 2176 15 any any DT A34005 2176 16 lines line NNS A34005 2176 17 on on IN A34005 2176 18 the the DT A34005 2176 19 Plain Plain NNP A34005 2176 20 , , , A34005 2176 21 but but CC A34005 2176 22 the the DT A34005 2176 23 hour hour NN A34005 2176 24 - - HYPH A34005 2176 25 lines line NNS A34005 2176 26 , , , A34005 2176 27 may may MD A34005 2176 28 be be VB A34005 2176 29 spoke speak VBN A34005 2176 30 to to IN A34005 2176 31 hereafter hereafter RB A34005 2176 32 , , , A34005 2176 33 whereby whereby WRB A34005 2176 34 this this DT A34005 2176 35 way way NN A34005 2176 36 of of IN A34005 2176 37 Dyalling dyalling NN A34005 2176 38 , , , A34005 2176 39 and and CC A34005 2176 40 those those DT A34005 2176 41 that that WDT A34005 2176 42 follow follow VBP A34005 2176 43 , , , A34005 2176 44 will will MD A34005 2176 45 be be VB A34005 2176 46 rendred rendre VBN A34005 2176 47 more more RBR A34005 2176 48 commodious commodious JJ A34005 2176 49 . . . A34005 2177 1 Lastly lastly RB A34005 2177 2 , , , A34005 2177 3 the the DT A34005 2177 4 Stile Stile NNP A34005 2177 5 may may MD A34005 2177 6 be be VB A34005 2177 7 prickt prickt NNS A34005 2177 8 off off RP A34005 2177 9 with with IN A34005 2177 10 Chords Chords NNPS A34005 2177 11 , , , A34005 2177 12 or or CC A34005 2177 13 take take VB A34005 2177 14 B b NN A34005 2177 15 C c NN A34005 2177 16 , , , A34005 2177 17 and and CC A34005 2177 18 setting set VBG A34005 2177 19 one one CD A34005 2177 20 foot foot NN A34005 2177 21 in in IN A34005 2177 22 F F NNP A34005 2177 23 , , , A34005 2177 24 with with IN A34005 2177 25 that that DT A34005 2177 26 Extent extent NN A34005 2177 27 sweep sweep VB A34005 2177 28 the the DT A34005 2177 29 touch touch NN A34005 2177 30 of of IN A34005 2177 31 an an DT A34005 2177 32 occult occult NN A34005 2177 33 Arch Arch NNP A34005 2177 34 , , , A34005 2177 35 and and CC A34005 2177 36 from from IN A34005 2177 37 C C NNP A34005 2177 38 , , , A34005 2177 39 draw draw VB A34005 2177 40 a a DT A34005 2177 41 line line NN A34005 2177 42 just just RB A34005 2177 43 touching touch VBG A34005 2177 44 the the DT A34005 2177 45 outward outward JJ A34005 2177 46 extremity extremity NN A34005 2177 47 of of IN A34005 2177 48 the the DT A34005 2177 49 said say VBN A34005 2177 50 Arch Arch NNP A34005 2177 51 , , , A34005 2177 52 and and CC A34005 2177 53 it -PRON- PRP A34005 2177 54 shall shall MD A34005 2177 55 prick prick VB A34005 2177 56 off off RP A34005 2177 57 the the DT A34005 2177 58 Angle Angle NNP A34005 2177 59 of of IN A34005 2177 60 the the DT A34005 2177 61 Stiles Stiles NNP A34005 2177 62 height height NN A34005 2177 63 above above IN A34005 2177 64 the the DT A34005 2177 65 Substile Substile NNP A34005 2177 66 . . . A34005 2178 1 To to TO A34005 2178 2 prick prick VB A34005 2178 3 off off RP A34005 2178 4 the the DT A34005 2178 5 former former JJ A34005 2178 6 Dyal Dyal NNP A34005 2178 7 in in IN A34005 2178 8 an an DT A34005 2178 9 Oblique Oblique NNP A34005 2178 10 Parallellogram Parallellogram NNP A34005 2178 11 , , , A34005 2178 12 or or CC A34005 2178 13 Scalenon Scalenon NNP A34005 2178 14 alias alia NNS A34005 2178 15 unequal unequal JJ A34005 2178 16 sided side VBD A34005 2178 17 Triangle Triangle NNP A34005 2178 18 from from IN A34005 2178 19 the the DT A34005 2178 20 Meridian Meridian NNP A34005 2178 21 . . . A34005 2179 1 First first RB A34005 2179 2 , , , A34005 2179 3 In in IN A34005 2179 4 an an DT A34005 2179 5 Oblique Oblique NNP A34005 2179 6 Parallellogram Parallellogram NNP A34005 2179 7 . . . A34005 2180 1 DRaw DRaw NNP A34005 2180 2 CE CE NNP A34005 2180 3 the the DT A34005 2180 4 Meridian meridian JJ A34005 2180 5 line line NN A34005 2180 6 and and CC A34005 2180 7 with with IN A34005 2180 8 60d 60d NNS A34005 2180 9 of of IN A34005 2180 10 a a DT A34005 2180 11 line line NN A34005 2180 12 of of IN A34005 2180 13 Chords Chords NNPS A34005 2180 14 , , , A34005 2180 15 draw draw VB A34005 2180 16 the the DT A34005 2180 17 prickt prickt NNS A34005 2180 18 Arch Arch NNP A34005 2180 19 , , , A34005 2180 20 and and CC A34005 2180 21 therein therein RB A34005 2180 22 from from IN A34005 2180 23 K K NNP A34005 2180 24 , , , A34005 2180 25 contrary contrary RB A34005 2180 26 to to IN A34005 2180 27 the the DT A34005 2180 28 Coast Coast NNP A34005 2180 29 of of IN A34005 2180 30 Declination Declination NNP A34005 2180 31 , , , A34005 2180 32 prick prick VB A34005 2180 33 off off RP A34005 2180 34 62d 62d NNS A34005 2180 35 , , , A34005 2180 36 the the DT A34005 2180 37 angle angle NN A34005 2180 38 of of IN A34005 2180 39 12 12 CD A34005 2180 40 and and CC A34005 2180 41 6 6 CD A34005 2180 42 , , , A34005 2180 43 and and CC A34005 2180 44 draw draw VB A34005 2180 45 the the DT A34005 2180 46 line line NN A34005 2180 47 C c NN A34005 2180 48 D d NN A34005 2180 49 for for IN A34005 2180 50 the the DT A34005 2180 51 said say VBN A34005 2180 52 hour hour NN A34005 2180 53 line line NN A34005 2180 54 continued continue VBN A34005 2180 55 on on IN A34005 2180 56 the the DT A34005 2180 57 other other JJ A34005 2180 58 side side NN A34005 2180 59 the the DT A34005 2180 60 Center Center NNP A34005 2180 61 , , , A34005 2180 62 and and CC A34005 2180 63 out out IN A34005 2180 64 of of IN A34005 2180 65 a a DT A34005 2180 66 line line NN A34005 2180 67 of of IN A34005 2180 68 Sines Sines NNP A34005 2180 69 , , , A34005 2180 70 make make VB A34005 2180 71 C c NN A34005 2180 72 E e NN A34005 2180 73 equall equall NN A34005 2180 74 to to IN A34005 2180 75 65d 65d NNS A34005 2180 76 the the DT A34005 2180 77 Complement Complement NNP A34005 2180 78 of of IN A34005 2180 79 the the DT A34005 2180 80 Declination declination NN A34005 2180 81 ; ; : A34005 2180 82 then then RB A34005 2180 83 take take VB A34005 2180 84 out out RP A34005 2180 85 the the DT A34005 2180 86 sine sine NN A34005 2180 87 of of IN A34005 2180 88 38d 38d CD A34005 2180 89 28′ 28′ CD A34005 2180 90 the the DT A34005 2180 91 Complement Complement NNP A34005 2180 92 of of IN A34005 2180 93 the the DT A34005 2180 94 Latitude Latitude NNP A34005 2180 95 , , , A34005 2180 96 and and CC A34005 2180 97 enter enter VB A34005 2180 98 it -PRON- PRP A34005 2180 99 in in IN A34005 2180 100 the the DT A34005 2180 101 line line NN A34005 2180 102 D D NNP A34005 2180 103 C c NN A34005 2180 104 , , , A34005 2180 105 so so IN A34005 2180 106 that that IN A34005 2180 107 one one CD A34005 2180 108 foot foot NN A34005 2180 109 resting rest VBG A34005 2180 110 at at IN A34005 2180 111 D d NN A34005 2180 112 , , , A34005 2180 113 the the DT A34005 2180 114 other other JJ A34005 2180 115 turned turn VBD A34005 2180 116 about about IN A34005 2180 117 , , , A34005 2180 118 may may MD A34005 2180 119 but but CC A34005 2180 120 just just RB A34005 2180 121 touch touch VB A34005 2180 122 the the DT A34005 2180 123 Meridian meridian JJ A34005 2180 124 line line NN A34005 2180 125 , , , A34005 2180 126 the the DT A34005 2180 127 point point NN A34005 2180 128 D d NN A34005 2180 129 being be VBG A34005 2180 130 thus thus RB A34005 2180 131 found find VBN A34005 2180 132 , , , A34005 2180 133 make make VB A34005 2180 134 C C NNP A34005 2180 135 F F NNP A34005 2180 136 equall equall NN A34005 2180 137 to to IN A34005 2180 138 C c NN A34005 2180 139 D d NN A34005 2180 140 , , , A34005 2180 141 and and CC A34005 2180 142 with with IN A34005 2180 143 the the DT A34005 2180 144 sides side NNS A34005 2180 145 C C NNP A34005 2180 146 F F NNP A34005 2180 147 and and CC A34005 2180 148 C C NNP A34005 2180 149 E e NN A34005 2180 150 make make VB A34005 2180 151 the the DT A34005 2180 152 Parallellogram Parallellogram NNP A34005 2180 153 D d NN A34005 2180 154 G g NN A34005 2180 155 F f NN A34005 2180 156 H h NN A34005 2180 157 , , , A34005 2180 158 namely namely RB A34005 2180 159 , , , A34005 2180 160 F F NNP A34005 2180 161 H h NN A34005 2180 162 and and CC A34005 2180 163 G g NN A34005 2180 164 D d NN A34005 2180 165 equal equal JJ A34005 2180 166 to to IN A34005 2180 167 C c NN A34005 2180 168 E e NN A34005 2180 169 : : : A34005 2180 170 and and CC A34005 2180 171 E e NN A34005 2180 172 G g NN A34005 2180 173 and and CC A34005 2180 174 E e NN A34005 2180 175 H h NN A34005 2180 176 equal equal JJ A34005 2180 177 to to IN A34005 2180 178 D D NNP A34005 2180 179 C. C. NNP A34005 2180 180 And and CC A34005 2180 181 where where WRB A34005 2180 182 these these DT A34005 2180 183 distances distance NNS A34005 2180 184 ( ( -LRB- A34005 2180 185 sweeping sweep VBG A34005 2180 186 occult occult NN A34005 2180 187 arches arch VBZ A34005 2180 188 therewith therewith NNP A34005 2180 189 ) ) -RRB- A34005 2180 190 intersect intersect NN A34005 2180 191 will will MD A34005 2180 192 find find VB A34005 2180 193 the the DT A34005 2180 194 points point NNS A34005 2180 195 H H NNP A34005 2180 196 and and CC A34005 2180 197 G g NN A34005 2180 198 limiting limit VBG A34005 2180 199 the the DT A34005 2180 200 Angles angle NNS A34005 2180 201 of of IN A34005 2180 202 the the DT A34005 2180 203 Parallellogram Parallellogram NNP A34005 2180 204 . . . A34005 2181 1 Then then RB A34005 2181 2 making make VBG A34005 2181 3 E e NN A34005 2181 4 H h NN A34005 2181 5 or or CC A34005 2181 6 C C NNP A34005 2181 7 D D NNP A34005 2181 8 Radius Radius NNP A34005 2181 9 , , , A34005 2181 10 proportion proportion NN A34005 2181 11 out out RP A34005 2181 12 the the DT A34005 2181 13 Tangents tangent NNS A34005 2181 14 of of IN A34005 2181 15 15d 15d NNPS A34005 2181 16 and and CC A34005 2181 17 prick prick VB A34005 2181 18 them -PRON- PRP A34005 2181 19 down down RP A34005 2181 20 from from IN A34005 2181 21 E e NN A34005 2181 22 to to IN A34005 2181 23 1 1 CD A34005 2181 24 and and CC A34005 2181 25 11 11 CD A34005 2181 26 and and CC A34005 2181 27 30 30 CD A34005 2181 28 and and CC A34005 2181 29 prick prick VB A34005 2181 30 them -PRON- PRP A34005 2181 31 down down RP A34005 2181 32 from from IN A34005 2181 33 E e NN A34005 2181 34 to to IN A34005 2181 35 2 2 CD A34005 2181 36 and and CC A34005 2181 37 10 10 CD A34005 2181 38 and and CC A34005 2181 39 draw draw VBP A34005 2181 40 lines line NNS A34005 2181 41 into into IN A34005 2181 42 the the DT A34005 2181 43 Center Center NNP A34005 2181 44 through through IN A34005 2181 45 those those DT A34005 2181 46 points point NNS A34005 2181 47 , , , A34005 2181 48 and and CC A34005 2181 49 the the DT A34005 2181 50 angular angular JJ A34005 2181 51 points point NNS A34005 2181 52 of of IN A34005 2181 53 the the DT A34005 2181 54 Parallellogram Parallellogram NNP A34005 2181 55 at at IN A34005 2181 56 H h NN A34005 2181 57 and and CC A34005 2181 58 G g NN A34005 2181 59 , , , A34005 2181 60 and and CC A34005 2181 61 there there EX A34005 2181 62 will will MD A34005 2181 63 be be VB A34005 2181 64 6 6 CD A34005 2181 65 hours hour NNS A34005 2181 66 drawn draw VBN A34005 2181 67 , , , A34005 2181 68 besides besides IN A34005 2181 69 the the DT A34005 2181 70 Meridian meridian JJ A34005 2181 71 line line NN A34005 2181 72 or or CC A34005 2181 73 hour hour NN A34005 2181 74 line line NN A34005 2181 75 of of IN A34005 2181 76 12 12 CD A34005 2181 77 . . . A34005 2182 1 Then then RB A34005 2182 2 making make VBG A34005 2182 3 D D NNP A34005 2182 4 G G NNP A34005 2182 5 Radius Radius NNP A34005 2182 6 , , , A34005 2182 7 proportion proportion NN A34005 2182 8 out out RP A34005 2182 9 the the DT A34005 2182 10 Tangent Tangent NNP A34005 2182 11 of of IN A34005 2182 12 15d 15d CD A34005 2182 13 , , , A34005 2182 14 and and CC A34005 2182 15 prick prick VB A34005 2182 16 it -PRON- PRP A34005 2182 17 down down RP A34005 2182 18 from from IN A34005 2182 19 D d JJ A34005 2182 20 upwards upward NNS A34005 2182 21 to to IN A34005 2182 22 5 5 CD A34005 2182 23 , , , A34005 2182 24 and and CC A34005 2182 25 downward downward RB A34005 2182 26 to to IN A34005 2182 27 7 7 CD A34005 2182 28 , , , A34005 2182 29 also also RB A34005 2182 30 proportion proportion VB A34005 2182 31 out out RP A34005 2182 32 the the DT A34005 2182 33 tangent tangent NN A34005 2182 34 of of IN A34005 2182 35 30d 30d NNS A34005 2182 36 and and CC A34005 2182 37 prick prick VB A34005 2182 38 it -PRON- PRP A34005 2182 39 from from IN A34005 2182 40 D d NN A34005 2182 41 to to IN A34005 2182 42 8 8 CD A34005 2182 43 , , , A34005 2182 44 and and CC A34005 2182 45 from from IN A34005 2182 46 F F NNP A34005 2182 47 to to IN A34005 2182 48 4 4 CD A34005 2182 49 , , , A34005 2182 50 and and CC A34005 2182 51 draw draw VB A34005 2182 52 lines line NNS A34005 2182 53 into into IN A34005 2182 54 the the DT A34005 2182 55 Center Center NNP A34005 2182 56 , , , A34005 2182 57 and and CC A34005 2182 58 so so RB A34005 2182 59 the the DT A34005 2182 60 hour hour NN A34005 2182 61 lines line NNS A34005 2182 62 are be VBP A34005 2182 63 finished finish VBN A34005 2182 64 ; ; : A34005 2182 65 after after IN A34005 2182 66 the the DT A34005 2182 67 same same JJ A34005 2182 68 manner manner NN A34005 2182 69 are be VBP A34005 2182 70 the the DT A34005 2182 71 halfs halfs NNP A34005 2182 72 and and CC A34005 2182 73 quarters quarter NNS A34005 2182 74 to to TO A34005 2182 75 be be VB A34005 2182 76 proportioned proportion VBN A34005 2182 77 out out RP A34005 2182 78 and and CC A34005 2182 79 pricked prick VBD A34005 2182 80 down down RP A34005 2182 81 : : : A34005 2182 82 and and CC A34005 2182 83 if if IN A34005 2182 84 this this DT A34005 2182 85 Work work NN A34005 2182 86 is be VBZ A34005 2182 87 to to TO A34005 2182 88 be be VB A34005 2182 89 done do VBN A34005 2182 90 upon upon IN A34005 2182 91 the the DT A34005 2182 92 Plain Plain NNP A34005 2182 93 it -PRON- PRP A34005 2182 94 selfe selfe NN A34005 2182 95 , , , A34005 2182 96 the the DT A34005 2182 97 Parallel Parallel NNP A34005 2182 98 F F NNP A34005 2182 99 H H NNP A34005 2182 100 will will MD A34005 2182 101 excur excur VB A34005 2182 102 above above IN A34005 2182 103 the the DT A34005 2182 104 plain plain NN A34005 2182 105 , , , A34005 2182 106 in in IN A34005 2182 107 that that DT A34005 2182 108 case case NN A34005 2182 109 , , , A34005 2182 110 because because IN A34005 2182 111 the the DT A34005 2182 112 Parallel parallel JJ A34005 2182 113 distance distance NN A34005 2182 114 of of IN A34005 2182 115 F F NNP A34005 2182 116 H H NNP A34005 2182 117 from from IN A34005 2182 118 the the DT A34005 2182 119 Meridian Meridian NNP A34005 2182 120 , , , A34005 2182 121 is be VBZ A34005 2182 122 equal equal JJ A34005 2182 123 to to IN A34005 2182 124 the the DT A34005 2182 125 parallel parallel JJ A34005 2182 126 distance distance NN A34005 2182 127 of of IN A34005 2182 128 D D NNP A34005 2182 129 G g NN A34005 2182 130 the the DT A34005 2182 131 space space NN A34005 2182 132 G. G. NNP A34005 2182 133 8 8 CD A34005 2182 134 . . . A34005 2182 135 may may MD A34005 2182 136 be be VB A34005 2182 137 set set VBN A34005 2182 138 from from IN A34005 2182 139 H h NN A34005 2182 140 to to IN A34005 2182 141 4 4 CD A34005 2182 142 , , , A34005 2182 143 and and CC A34005 2182 144 so so RB A34005 2182 145 all all PDT A34005 2182 146 the the DT A34005 2182 147 hour hour NN A34005 2182 148 lines line NNS A34005 2182 149 prickt prickt VBZ A34005 2182 150 down down RP A34005 2182 151 . . . A34005 2183 1 To to TO A34005 2183 2 prick prick VB A34005 2183 3 down down RP A34005 2183 4 this this DT A34005 2183 5 Dyal Dyal NNP A34005 2183 6 in in IN A34005 2183 7 a a DT A34005 2183 8 Scalenon Scalenon NNP A34005 2183 9 , , , A34005 2183 10 or or CC A34005 2183 11 unequal unequal JJ A34005 2183 12 sided sided JJ A34005 2183 13 triangle triangle NN A34005 2183 14 from from IN A34005 2183 15 the the DT A34005 2183 16 Meridian Meridian NNP A34005 2183 17 , , , A34005 2183 18 from from IN A34005 2183 19 E e NN A34005 2183 20 to to IN A34005 2183 21 D d NN A34005 2183 22 draw draw VB A34005 2183 23 the the DT A34005 2183 24 streight streight JJ A34005 2183 25 line line NN A34005 2183 26 D d NN A34005 2183 27 E e NN A34005 2183 28 , , , A34005 2183 29 and and CC A34005 2183 30 from from IN A34005 2183 31 the the DT A34005 2183 32 same same JJ A34005 2183 33 point point NN A34005 2183 34 draw draw VB A34005 2183 35 another another DT A34005 2183 36 to to IN A34005 2183 37 F F NNP A34005 2183 38 , , , A34005 2183 39 and and CC A34005 2183 40 each each DT A34005 2183 41 of of IN A34005 2183 42 them -PRON- PRP A34005 2183 43 ( ( -LRB- A34005 2183 44 the the DT A34005 2183 45 former former JJ A34005 2183 46 hour hour NN A34005 2183 47 lines line NNS A34005 2183 48 being be VBG A34005 2183 49 first first RB A34005 2183 50 drawn draw VBN A34005 2183 51 ) ) -RRB- A34005 2183 52 shall shall MD A34005 2183 53 thereby thereby RB A34005 2183 54 be be VB A34005 2183 55 divided divide VBN A34005 2183 56 into into IN A34005 2183 57 a a DT A34005 2183 58 line line NN A34005 2183 59 of of IN A34005 2183 60 double double JJ A34005 2183 61 tangents tangent NNS A34005 2183 62 , , , A34005 2183 63 or or CC A34005 2183 64 scale scale NN A34005 2183 65 of of IN A34005 2183 66 6 6 CD A34005 2183 67 hours hour NNS A34005 2183 68 , , , A34005 2183 69 such such PDT A34005 2183 70 a a DT A34005 2183 71 one one NN A34005 2183 72 as as IN A34005 2183 73 is be VBZ A34005 2183 74 in in IN A34005 2183 75 the the DT A34005 2183 76 Diameter Diameter NNP A34005 2183 77 of of IN A34005 2183 78 the the DT A34005 2183 79 Circle Circle NNP A34005 2183 80 on on IN A34005 2183 81 this this DT A34005 2183 82 quadrant quadrant NN A34005 2183 83 , , , A34005 2183 84 or or CC A34005 2183 85 on on IN A34005 2183 86 the the DT A34005 2183 87 right right JJ A34005 2183 88 edge edge NN A34005 2183 89 of of IN A34005 2183 90 the the DT A34005 2183 91 foreside foreside NN A34005 2183 92 ; ; : A34005 2183 93 and and CC A34005 2183 94 therefore therefore RB A34005 2183 95 by by IN A34005 2183 96 helpe helpe NNS A34005 2183 97 of of IN A34005 2183 98 either either DT A34005 2183 99 of of IN A34005 2183 100 them -PRON- PRP A34005 2183 101 lines line NNS A34005 2183 102 , , , A34005 2183 103 if if IN A34005 2183 104 it -PRON- PRP A34005 2183 105 were be VBD A34005 2183 106 required require VBN A34005 2183 107 to to TO A34005 2183 108 prick prick VB A34005 2183 109 down down RP A34005 2183 110 the the DT A34005 2183 111 Dyal Dyal NNP A34005 2183 112 , , , A34005 2183 113 it -PRON- PRP A34005 2183 114 might may MD A34005 2183 115 be be VB A34005 2183 116 done do VBN A34005 2183 117 by by IN A34005 2183 118 Proportioning proportion VBG A34005 2183 119 them -PRON- PRP A34005 2183 120 out out RP A34005 2183 121 , , , A34005 2183 122 take take VB A34005 2183 123 the the DT A34005 2183 124 extent extent NN A34005 2183 125 D d NN A34005 2183 126 E e NN A34005 2183 127 , , , A34005 2183 128 and and CC A34005 2183 129 prick prick VB A34005 2183 130 it -PRON- PRP A34005 2183 131 from from IN A34005 2183 132 one one CD A34005 2183 133 extremity extremity NN A34005 2183 134 of of IN A34005 2183 135 the the DT A34005 2183 136 Diameter Diameter NNP A34005 2183 137 in in IN A34005 2183 138 the the DT A34005 2183 139 Semicircle Semicircle NNP A34005 2183 140 on on IN A34005 2183 141 the the DT A34005 2183 142 quadrant quadrant NN A34005 2183 143 , , , A34005 2183 144 and and CC A34005 2183 145 from from IN A34005 2183 146 the the DT A34005 2183 147 point point NN A34005 2183 148 of of IN A34005 2183 149 Termination termination NN A34005 2183 150 draw draw VB A34005 2183 151 a a DT A34005 2183 152 line line NN A34005 2183 153 with with IN A34005 2183 154 black black JJ A34005 2183 155 Lead lead NN A34005 2183 156 to to IN A34005 2183 157 the the DT A34005 2183 158 other other JJ A34005 2183 159 extremity extremity NN A34005 2183 160 , , , A34005 2183 161 ( ( -LRB- A34005 2183 162 which which WDT A34005 2183 163 will will MD A34005 2183 164 easily easily RB A34005 2183 165 rub rub VB A34005 2183 166 out out RP A34005 2183 167 again again RB A34005 2183 168 either either CC A34005 2183 169 with with IN A34005 2183 170 bread bread NN A34005 2183 171 or or CC A34005 2183 172 leather leather NN A34005 2183 173 parings paring NNS A34005 2183 174 ) ) -RRB- A34005 2183 175 and and CC A34005 2183 176 take take VB A34005 2183 177 the the DT A34005 2183 178 nearest near JJS A34005 2183 179 distance distance NN A34005 2183 180 from from IN A34005 2183 181 15 15 CD A34005 2183 182 of of IN A34005 2183 183 the the DT A34005 2183 184 Diameter Diameter NNP A34005 2183 185 to to IN A34005 2183 186 the the DT A34005 2183 187 said say VBN A34005 2183 188 line line NN A34005 2183 189 , , , A34005 2183 190 and and CC A34005 2183 191 the the DT A34005 2183 192 said say VBN A34005 2183 193 extents extent NNS A34005 2183 194 30 30 CD A34005 2183 195 of of IN A34005 2183 196 the the DT A34005 2183 197 Diameter Diameter NNP A34005 2183 198 to to IN A34005 2183 199 the the DT A34005 2183 200 said say VBN A34005 2183 201 line line NN A34005 2183 202 , , , A34005 2183 203 and and CC A34005 2183 204 the the DT A34005 2183 205 said say VBN A34005 2183 206 extents extent NNS A34005 2183 207 45 45 CD A34005 2183 208 of of IN A34005 2183 209 the the DT A34005 2183 210 Diameter Diameter NNP A34005 2183 211 to to IN A34005 2183 212 the the DT A34005 2183 213 said say VBN A34005 2183 214 line line NN A34005 2183 215 , , , A34005 2183 216 and and CC A34005 2183 217 the the DT A34005 2183 218 said say VBN A34005 2183 219 extents extent NNS A34005 2183 220 shall shall MD A34005 2183 221 reach reach VB A34005 2183 222 from from IN A34005 2183 223 , , , A34005 2183 224 E e NN A34005 2183 225 to to IN A34005 2183 226 11 11 CD A34005 2183 227 and and CC A34005 2183 228 from from IN A34005 2183 229 D d NN A34005 2183 230 to to IN A34005 2183 231 7 7 CD A34005 2183 232 shall shall MD A34005 2183 233 reach reach VB A34005 2183 234 from from IN A34005 2183 235 , , , A34005 2183 236 E e NN A34005 2183 237 to to IN A34005 2183 238 10 10 CD A34005 2183 239 and and CC A34005 2183 240 from from IN A34005 2183 241 D d NN A34005 2183 242 to to IN A34005 2183 243 8 8 CD A34005 2183 244 shall shall MD A34005 2183 245 reach reach VB A34005 2183 246 from from IN A34005 2183 247 , , , A34005 2183 248 E e NN A34005 2183 249 to to IN A34005 2183 250 9 9 CD A34005 2183 251 and and CC A34005 2183 252 from from IN A34005 2183 253 D d NN A34005 2183 254 to to IN A34005 2183 255 9 9 CD A34005 2183 256 and and CC A34005 2183 257 the the DT A34005 2183 258 like like JJ A34005 2183 259 must must MD A34005 2183 260 be be VB A34005 2183 261 done do VBN A34005 2183 262 for for IN A34005 2183 263 the the DT A34005 2183 264 line line NN A34005 2183 265 E E NNP A34005 2183 266 F F NNP A34005 2183 267 , , , A34005 2183 268 entring entre VBG A34005 2183 269 that that IN A34005 2183 270 in in IN A34005 2183 271 the the DT A34005 2183 272 Semicirle Semicirle NNP A34005 2183 273 as as IN A34005 2183 274 before before RB A34005 2183 275 ; ; : A34005 2183 276 or or CC A34005 2183 277 without without IN A34005 2183 278 drawing draw VBG A34005 2183 279 lines line NNS A34005 2183 280 on on IN A34005 2183 281 the the DT A34005 2183 282 quadrant quadrant NN A34005 2183 283 , , , A34005 2183 284 if if IN A34005 2183 285 a a DT A34005 2183 286 hole hole NN A34005 2183 287 be be VB A34005 2183 288 drilled drill VBN A34005 2183 289 at at IN A34005 2183 290 one one CD A34005 2183 291 end end NN A34005 2183 292 of of IN A34005 2183 293 the the DT A34005 2183 294 Diameter Diameter NNP A34005 2183 295 , , , A34005 2183 296 and and CC A34005 2183 297 a a DT A34005 2183 298 thred thre VBN A34005 2183 299 fitted fit VBD A34005 2183 300 into into IN A34005 2183 301 it -PRON- PRP A34005 2183 302 , , , A34005 2183 303 lay lie VBD A34005 2183 304 the the DT A34005 2183 305 thred thre VBN A34005 2183 306 over over IN A34005 2183 307 the the DT A34005 2183 308 point point NN A34005 2183 309 in in IN A34005 2183 310 the the DT A34005 2183 311 Diameter Diameter NNP A34005 2183 312 , , , A34005 2183 313 and and CC A34005 2183 314 take take VB A34005 2183 315 the the DT A34005 2183 316 nearest near JJS A34005 2183 317 distances distance NNS A34005 2183 318 thereto thereto VBP A34005 2183 319 . . . A34005 2184 1 Lastly lastly RB A34005 2184 2 , , , A34005 2184 3 from from IN A34005 2184 4 a a DT A34005 2184 5 line line NN A34005 2184 6 of of IN A34005 2184 7 Chords Chords NNPS A34005 2184 8 , , , A34005 2184 9 prick prick VB A34005 2184 10 off off RP A34005 2184 11 the the DT A34005 2184 12 substilar substilar JJ A34005 2184 13 line line NN A34005 2184 14 , , , A34005 2184 15 and and CC A34005 2184 16 the the DT A34005 2184 17 stiles stile NNS A34005 2184 18 height height RB A34005 2184 19 as as IN A34005 2184 20 we -PRON- PRP A34005 2184 21 before before RB A34005 2184 22 found find VBD A34005 2184 23 it -PRON- PRP A34005 2184 24 . . . A34005 2185 1 This this DT A34005 2185 2 way way NN A34005 2185 3 of of IN A34005 2185 4 Dyalling dyalle VBG A34005 2185 5 in in IN A34005 2185 6 a a DT A34005 2185 7 Parallellogram Parallellogram NNP A34005 2185 8 , , , A34005 2185 9 was be VBD A34005 2185 10 first first RB A34005 2185 11 invented invent VBN A34005 2185 12 by by IN A34005 2185 13 John John NNP A34005 2185 14 Ferrereus Ferrereus NNP A34005 2185 15 a a DT A34005 2185 16 Spaniard Spaniard NNP A34005 2185 17 , , , A34005 2185 18 long long RB A34005 2185 19 since since RB A34005 2185 20 , , , A34005 2185 21 and and CC A34005 2185 22 afterwards afterwards RB A34005 2185 23 largely largely RB A34005 2185 24 handled handle VBN A34005 2185 25 by by IN A34005 2185 26 Clavius Clavius NNP A34005 2185 27 , , , A34005 2185 28 who who WP A34005 2185 29 demonstrates demonstrate VBZ A34005 2185 30 it -PRON- PRP A34005 2185 31 , , , A34005 2185 32 and and CC A34005 2185 33 shews shew VBZ A34005 2185 34 how how WRB A34005 2185 35 to to TO A34005 2185 36 fit fit VB A34005 2185 37 it -PRON- PRP A34005 2185 38 into into IN A34005 2185 39 all all DT A34005 2185 40 plains plain NNS A34005 2185 41 whatsoever whatsoever RB A34005 2185 42 , , , A34005 2185 43 albeit albeit IN A34005 2185 44 they -PRON- PRP A34005 2185 45 decline decline VBP A34005 2185 46 , , , A34005 2185 47 recline recline JJS A34005 2185 48 , , , A34005 2185 49 or or CC A34005 2185 50 incline incline NN A34005 2185 51 , , , A34005 2185 52 without without IN A34005 2185 53 referring refer VBG A34005 2185 54 them -PRON- PRP A34005 2185 55 to to IN A34005 2185 56 a a DT A34005 2185 57 new new JJ A34005 2185 58 Latitude Latitude NNP A34005 2185 59 ; ; : A34005 2185 60 the the DT A34005 2185 61 Triangular Triangular NNP A34005 2185 62 way way NN A34005 2185 63 is be VBZ A34005 2185 64 also also RB A34005 2185 65 built build VBN A34005 2185 66 upon upon IN A34005 2185 67 the the DT A34005 2185 68 same same JJ A34005 2185 69 Demonstration Demonstration NNP A34005 2185 70 , , , A34005 2185 71 and and CC A34005 2185 72 is be VBZ A34005 2185 73 already already RB A34005 2185 74 published publish VBN A34005 2185 75 by by IN A34005 2185 76 Mr Mr NNP A34005 2185 77 Foster Foster NNP A34005 2185 78 in in IN A34005 2185 79 his -PRON- PRP$ A34005 2185 80 Posthuma Posthuma NNP A34005 2185 81 , , , A34005 2185 82 for for IN A34005 2185 83 it -PRON- PRP A34005 2185 84 is be VBZ A34005 2185 85 no no DT A34005 2185 86 other other JJ A34005 2185 87 then then RB A34005 2185 88 Dyalling dyalle VBG A34005 2185 89 in in IN A34005 2185 90 a a DT A34005 2185 91 Parallellogram Parallellogram NNP A34005 2185 92 , , , A34005 2185 93 if if IN A34005 2185 94 the the DT A34005 2185 95 Meridian meridian JJ A34005 2185 96 line line NN A34005 2185 97 C c NN A34005 2185 98 E e NN A34005 2185 99 be be VB A34005 2185 100 continued continue VBN A34005 2185 101 upwards upwards RB A34005 2185 102 , , , A34005 2185 103 and and CC A34005 2185 104 C c NN A34005 2185 105 E e NN A34005 2185 106 set set VBN A34005 2185 107 off off RP A34005 2185 108 upwards upwards RB A34005 2185 109 , , , A34005 2185 110 and and CC A34005 2185 111 lines line NNS A34005 2185 112 drawn draw VBN A34005 2185 113 from from IN A34005 2185 114 the the DT A34005 2185 115 point point NN A34005 2185 116 , , , A34005 2185 117 so so RB A34005 2185 118 found find VBN A34005 2185 119 to to IN A34005 2185 120 D d NN A34005 2185 121 and and CC A34005 2185 122 E e NN A34005 2185 123 , , , A34005 2185 124 shall shall MD A34005 2185 125 constitute constitute VB A34005 2185 126 a a DT A34005 2185 127 Parallellogram Parallellogram NNP A34005 2185 128 . . . A34005 2186 1 An an DT A34005 2186 2 Advertisement advertisement NN A34005 2186 3 about about IN A34005 2186 4 observing observe VBG A34005 2186 5 of of IN A34005 2186 6 Altitudes altitude NNS A34005 2186 7 . . . A34005 2187 1 IMagine imagine VB A34005 2187 2 a a DT A34005 2187 3 line line NN A34005 2187 4 drawn draw VBN A34005 2187 5 from from IN A34005 2187 6 the the DT A34005 2187 7 beginning beginning NN A34005 2187 8 of of IN A34005 2187 9 the the DT A34005 2187 10 line line NN A34005 2187 11 Sol Sol NNP A34005 2187 12 , , , A34005 2187 13 to to IN A34005 2187 14 the the DT A34005 2187 15 end end NN A34005 2187 16 of of IN A34005 2187 17 the the DT A34005 2187 18 Diameter Diameter NNP A34005 2187 19 , , , A34005 2187 20 and and CC A34005 2187 21 therein therein RB A34005 2187 22 suppose suppose VB A34005 2187 23 a a DT A34005 2187 24 pair pair NN A34005 2187 25 of of IN A34005 2187 26 sights sight NNS A34005 2187 27 placed place VBN A34005 2187 28 with with IN A34005 2187 29 a a DT A34005 2187 30 thred thred JJ A34005 2187 31 and and CC A34005 2187 32 bullet bullet NN A34005 2187 33 hanging hang VBG A34005 2187 34 from from IN A34005 2187 35 the the DT A34005 2187 36 begining begining NN A34005 2187 37 of of IN A34005 2187 38 the the DT A34005 2187 39 said say VBN A34005 2187 40 line line NN A34005 2187 41 , , , A34005 2187 42 as as IN A34005 2187 43 from from IN A34005 2187 44 a a DT A34005 2187 45 Center Center NNP A34005 2187 46 ; ; : A34005 2187 47 I -PRON- PRP A34005 2187 48 say say VBP A34005 2187 49 the the DT A34005 2187 50 line line NN A34005 2187 51 wherein wherein WRB A34005 2187 52 the the DT A34005 2187 53 sights sight NNS A34005 2187 54 are be VBP A34005 2187 55 placed place VBN A34005 2187 56 , , , A34005 2187 57 makes make VBZ A34005 2187 58 a a DT A34005 2187 59 right right JJ A34005 2187 60 angle angle NN A34005 2187 61 with with IN A34005 2187 62 the the DT A34005 2187 63 line line NN A34005 2187 64 of of IN A34005 2187 65 sines sine NNS A34005 2187 66 on on IN A34005 2187 67 the the DT A34005 2187 68 other other JJ A34005 2187 69 side side NN A34005 2187 70 of of IN A34005 2187 71 Sol Sol NNP A34005 2187 72 , , , A34005 2187 73 and and CC A34005 2187 74 so so RB A34005 2187 75 may may MD A34005 2187 76 represent represent VB A34005 2187 77 a a DT A34005 2187 78 quadrant quadrant NN A34005 2187 79 , , , A34005 2187 80 the the DT A34005 2187 81 equal equal JJ A34005 2187 82 Limbe Limbe NNP A34005 2187 83 whereof whereof NNP A34005 2187 84 is be VBZ A34005 2187 85 either either CC A34005 2187 86 represented represent VBN A34005 2187 87 by by IN A34005 2187 88 the the DT A34005 2187 89 90d 90d NNS A34005 2187 90 of of IN A34005 2187 91 the the DT A34005 2187 92 equal equal JJ A34005 2187 93 Semicirle Semicirle NNP A34005 2187 94 , , , A34005 2187 95 or or CC A34005 2187 96 by by IN A34005 2187 97 the the DT A34005 2187 98 90d 90d NNS A34005 2187 99 of of IN A34005 2187 100 the the DT A34005 2187 101 Diameter Diameter NNP A34005 2187 102 and and CC A34005 2187 103 thereby thereby RB A34005 2187 104 an an DT A34005 2187 105 Altitude altitude NN A34005 2187 106 may may MD A34005 2187 107 be be VB A34005 2187 108 taken take VBN A34005 2187 109 . . . A34005 2188 1 Now now RB A34005 2188 2 to to TO A34005 2188 3 make make VB A34005 2188 4 an an DT A34005 2188 5 Isoceles isocele NNS A34005 2188 6 equicrural equicrural JJ A34005 2188 7 , , , A34005 2188 8 or or CC A34005 2188 9 equal equal JJ A34005 2188 10 legged legged JJ A34005 2188 11 triangle triangle NN A34005 2188 12 made make VBN A34005 2188 13 of of IN A34005 2188 14 three three CD A34005 2188 15 streight streight JJ A34005 2188 16 Rulers Rulers NNPS A34005 2188 17 , , , A34005 2188 18 the the DT A34005 2188 19 longest long JJS A34005 2188 20 whereof whereof NN A34005 2188 21 will will MD A34005 2188 22 be be VB A34005 2188 23 the the DT A34005 2188 24 Base Base NNP A34005 2188 25 or or CC A34005 2188 26 Hipotenusal Hipotenusal NNP A34005 2188 27 line line NN A34005 2188 28 ; ; : A34005 2188 29 thus thus RB A34005 2188 30 to to TO A34005 2188 31 serve serve VB A34005 2188 32 for for IN A34005 2188 33 a a DT A34005 2188 34 quadrant quadrant NN A34005 2188 35 to to TO A34005 2188 36 take take VB A34005 2188 37 Altitudes Altitudes NNP A34005 2188 38 withal withal VB A34005 2188 39 , , , A34005 2188 40 will will MD A34005 2188 41 be be VB A34005 2188 42 much much RB A34005 2188 43 cheaper cheap JJR A34005 2188 44 , , , A34005 2188 45 and and CC A34005 2188 46 more more RBR A34005 2188 47 certain certain JJ A34005 2188 48 in in IN A34005 2188 49 Wood Wood NNP A34005 2188 50 , , , A34005 2188 51 then then RB A34005 2188 52 the the DT A34005 2188 53 great great JJ A34005 2188 54 Arched arched JJ A34005 2188 55 wooden wooden JJ A34005 2188 56 framed framed JJ A34005 2188 57 quadrants quadrant NNS A34005 2188 58 . . . A34005 2189 1 Moreover moreover RB A34005 2189 2 , , , A34005 2189 3 the the DT A34005 2189 4 said say VBD A34005 2189 5 Diameter Diameter NNP A34005 2189 6 line line NN A34005 2189 7 supplies supply VBZ A34005 2189 8 all all PDT A34005 2189 9 the the DT A34005 2189 10 uses use NNS A34005 2189 11 of of IN A34005 2189 12 the the DT A34005 2189 13 Limbe Limbe NNP A34005 2189 14 , , , A34005 2189 15 from from IN A34005 2189 16 it -PRON- PRP A34005 2189 17 may may MD A34005 2189 18 be be VB A34005 2189 19 taken take VBN A34005 2189 20 off off RP A34005 2189 21 Sines Sines NNP A34005 2189 22 , , , A34005 2189 23 Tangents Tangents NNP A34005 2189 24 , , , A34005 2189 25 or or CC A34005 2189 26 Secants Secants NNPS A34005 2189 27 , , , A34005 2189 28 as as IN A34005 2189 29 was be VBD A34005 2189 30 done do VBN A34005 2189 31 from from IN A34005 2189 32 the the DT A34005 2189 33 Limbe Limbe NNP A34005 2189 34 ; ; : A34005 2189 35 and and CC A34005 2189 36 therein therein RB A34005 2189 37 the the DT A34005 2189 38 Hour Hour NNP A34005 2189 39 and and CC A34005 2189 40 Azimuth Azimuth NNP A34005 2189 41 , , , A34005 2189 42 found find VBN A34005 2189 43 generally generally RB A34005 2189 44 by by IN A34005 2189 45 helpe helpe NNS A34005 2189 46 of of IN A34005 2189 47 the the DT A34005 2189 48 line line NN A34005 2189 49 of of IN A34005 2189 50 Sines Sines NNP A34005 2189 51 on on IN A34005 2189 52 the the DT A34005 2189 53 left left JJ A34005 2189 54 edge edge NN A34005 2189 55 , , , A34005 2189 56 as as IN A34005 2189 57 is be VBZ A34005 2189 58 largely largely RB A34005 2189 59 shewed shew VBN A34005 2189 60 in in IN A34005 2189 61 the the DT A34005 2189 62 uses use NNS A34005 2189 63 of of IN A34005 2189 64 this this DT A34005 2189 65 quadrant quadrant NN A34005 2189 66 , , , A34005 2189 67 besides besides IN A34005 2189 68 its -PRON- PRP$ A34005 2189 69 uses use NNS A34005 2189 70 in in IN A34005 2189 71 Dyalling dyalling NN A34005 2189 72 , , , A34005 2189 73 onely onely RB A34005 2189 74 when when WRB A34005 2189 75 such such PDT A34005 2189 76 an an DT A34005 2189 77 Instrument Instrument NNP A34005 2189 78 is be VBZ A34005 2189 79 made make VBN A34005 2189 80 apart apart RB A34005 2189 81 , , , A34005 2189 82 it -PRON- PRP A34005 2189 83 will will MD A34005 2189 84 be be VB A34005 2189 85 more more RBR A34005 2189 86 convenient convenient JJ A34005 2189 87 to to TO A34005 2189 88 have have VB A34005 2189 89 the the DT A34005 2189 90 line line NN A34005 2189 91 of of IN A34005 2189 92 Sines Sines NNPS A34005 2189 93 to to TO A34005 2189 94 be be VB A34005 2189 95 set set VBN A34005 2189 96 on on IN A34005 2189 97 the the DT A34005 2189 98 right right JJ A34005 2189 99 edge edge NN A34005 2189 100 , , , A34005 2189 101 and and CC A34005 2189 102 the the DT A34005 2189 103 Diameter Diameter NNP A34005 2189 104 numbred numbre VBN A34005 2189 105 also also RB A34005 2189 106 by by IN A34005 2189 107 its -PRON- PRP$ A34005 2189 108 Complements complement NNS A34005 2189 109 ; ; : A34005 2189 110 this this DT A34005 2189 111 Diameter diameter NN A34005 2189 112 or or CC A34005 2189 113 double double JJ A34005 2189 114 Tangent tangent NN A34005 2189 115 , , , A34005 2189 116 or or CC A34005 2189 117 Hipotenusal Hipotenusal NNP A34005 2189 118 line line NN A34005 2189 119 being be VBG A34005 2189 120 first first RB A34005 2189 121 divided divide VBN A34005 2189 122 on on IN A34005 2189 123 , , , A34005 2189 124 all all PDT A34005 2189 125 the the DT A34005 2189 126 other other JJ A34005 2189 127 lines line NNS A34005 2189 128 may may MD A34005 2189 129 from from IN A34005 2189 130 it -PRON- PRP A34005 2189 131 , , , A34005 2189 132 by by IN A34005 2189 133 the the DT A34005 2189 134 same same JJ A34005 2189 135 Tables table NNS A34005 2189 136 that that WDT A34005 2189 137 serve serve VBP A34005 2189 138 to to TO A34005 2189 139 graduate graduate VB A34005 2189 140 them -PRON- PRP A34005 2189 141 from from IN A34005 2189 142 the the DT A34005 2189 143 equal equal JJ A34005 2189 144 Limbe Limbe NNP A34005 2189 145 be be VB A34005 2189 146 likewise likewise RB A34005 2189 147 inscribed inscribe VBN A34005 2189 148 : : : A34005 2189 149 and and CC A34005 2189 150 here here RB A34005 2189 151 let let VB A34005 2189 152 me -PRON- PRP A34005 2189 153 put put VB A34005 2189 154 a a DT A34005 2189 155 period period NN A34005 2189 156 to to IN A34005 2189 157 the the DT A34005 2189 158 uses use NNS A34005 2189 159 of of IN A34005 2189 160 this this DT A34005 2189 161 quadrant quadrant NN A34005 2189 162 . . . A34005 2190 1 Gloria Gloria NNP A34005 2190 2 Deo Deo NNP A34005 2190 3 . . . A34005 2191 1 The the DT A34005 2191 2 Description description NN A34005 2191 3 of of IN A34005 2191 4 an an DT A34005 2191 5 Universal Universal NNP A34005 2191 6 small small JJ A34005 2191 7 Pocket Pocket NNP A34005 2191 8 Quadrant Quadrant NNP A34005 2191 9 . . . A34005 2192 1 THis this DT A34005 2192 2 quadrant quadrant JJ A34005 2192 3 hath hath NN A34005 2192 4 only only RB A34005 2192 5 one one CD A34005 2192 6 face face NN A34005 2192 7 . . . A34005 2193 1 On on IN A34005 2193 2 the the DT A34005 2193 3 right right JJ A34005 2193 4 edge edge NN A34005 2193 5 from from IN A34005 2193 6 the the DT A34005 2193 7 Center Center NNP A34005 2193 8 is be VBZ A34005 2193 9 placed place VBN A34005 2193 10 a a DT A34005 2193 11 line line NN A34005 2193 12 of of IN A34005 2193 13 sines sine NNS A34005 2193 14 divided divide VBN A34005 2193 15 into into IN A34005 2193 16 degrees degree NNS A34005 2193 17 and and CC A34005 2193 18 half half NN A34005 2193 19 degrees degree NNS A34005 2193 20 up up IN A34005 2193 21 to to TO A34005 2193 22 60 60 CD A34005 2193 23 d. d. NN A34005 2193 24 afterwards afterwards RB A34005 2193 25 into into IN A34005 2193 26 whole whole JJ A34005 2193 27 degrees degree NNS A34005 2193 28 to to IN A34005 2193 29 80 80 CD A34005 2193 30 d. d. NN A34005 2193 31 On on IN A34005 2193 32 the the DT A34005 2193 33 left left JJ A34005 2193 34 edge edge NN A34005 2193 35 issueth issueth NN A34005 2193 36 a a DT A34005 2193 37 line line NN A34005 2193 38 of of IN A34005 2193 39 10 10 CD A34005 2193 40 equal equal JJ A34005 2193 41 parts part NNS A34005 2193 42 , , , A34005 2193 43 from from IN A34005 2193 44 the the DT A34005 2193 45 Center Center NNP A34005 2193 46 being be VBG A34005 2193 47 precise precise JJ A34005 2193 48 4 4 CD A34005 2193 49 inches inch NNS A34005 2193 50 long long JJ A34005 2193 51 , , , A34005 2193 52 each each DT A34005 2193 53 part part NN A34005 2193 54 being be VBG A34005 2193 55 divided divide VBN A34005 2193 56 into into IN A34005 2193 57 10 10 CD A34005 2193 58 subdivisions subdivision NNS A34005 2193 59 and and CC A34005 2193 60 each each DT A34005 2193 61 subdivision subdivision NN A34005 2193 62 into into IN A34005 2193 63 halfs halfs NNP A34005 2193 64 . . . A34005 2194 1 These these DT A34005 2194 2 two two CD A34005 2194 3 lines line NNS A34005 2194 4 make make VBP A34005 2194 5 a a DT A34005 2194 6 right right JJ A34005 2194 7 angle angle NN A34005 2194 8 at at IN A34005 2194 9 the the DT A34005 2194 10 Center Center NNP A34005 2194 11 , , , A34005 2194 12 and and CC A34005 2194 13 between between IN A34005 2194 14 them -PRON- PRP A34005 2194 15 include include VBP A34005 2194 16 a a DT A34005 2194 17 Projection Projection NNP A34005 2194 18 of of IN A34005 2194 19 the the DT A34005 2194 20 Sphere Sphere NNP A34005 2194 21 for for IN A34005 2194 22 the the DT A34005 2194 23 Latitude Latitude NNP A34005 2194 24 of of IN A34005 2194 25 London London NNP A34005 2194 26 . . . A34005 2195 1 Above above IN A34005 2195 2 the the DT A34005 2195 3 Projection Projection NNP A34005 2195 4 are be VBP A34005 2195 5 put put VBN A34005 2195 6 on on RP A34005 2195 7 in in IN A34005 2195 8 quadrants quadrant NNS A34005 2195 9 of of IN A34005 2195 10 Circles Circles NNP A34005 2195 11 a a DT A34005 2195 12 line line NN A34005 2195 13 of of IN A34005 2195 14 Declinations declination NNS A34005 2195 15 4 4 CD A34005 2195 16 quadrants quadrant NNS A34005 2195 17 for for IN A34005 2195 18 the the DT A34005 2195 19 dayes daye NNS A34005 2195 20 of of IN A34005 2195 21 the the DT A34005 2195 22 moneth moneth NN A34005 2195 23 , , , A34005 2195 24 above above IN A34005 2195 25 them -PRON- PRP A34005 2195 26 the the DT A34005 2195 27 names name NNS A34005 2195 28 of of IN A34005 2195 29 5 5 CD A34005 2195 30 Stars star NNS A34005 2195 31 with with IN A34005 2195 32 their -PRON- PRP$ A34005 2195 33 right right JJ A34005 2195 34 Ascensions Ascensions NNPS A34005 2195 35 graved grave VBD A34005 2195 36 against against IN A34005 2195 37 them -PRON- PRP A34005 2195 38 , , , A34005 2195 39 and and CC A34005 2195 40 a a DT A34005 2195 41 general general JJ A34005 2195 42 Almanack Almanack NNP A34005 2195 43 . . . A34005 2196 1 Beneath beneath IN A34005 2196 2 the the DT A34005 2196 3 Projection projection NN A34005 2196 4 are be VBP A34005 2196 5 put put VBN A34005 2196 6 on on RP A34005 2196 7 in in IN A34005 2196 8 quadrants quadrant NNS A34005 2196 9 of of IN A34005 2196 10 Circles Circles NNP A34005 2196 11 a a DT A34005 2196 12 particular particular JJ A34005 2196 13 sine sine NN A34005 2196 14 and and CC A34005 2196 15 secant secant NN A34005 2196 16 , , , A34005 2196 17 so so RB A34005 2196 18 called call VBN A34005 2196 19 , , , A34005 2196 20 because because IN A34005 2196 21 it -PRON- PRP A34005 2196 22 is be VBZ A34005 2196 23 particular particular JJ A34005 2196 24 to to IN A34005 2196 25 the the DT A34005 2196 26 Latitude Latitude NNP A34005 2196 27 of of IN A34005 2196 28 London London NNP A34005 2196 29 . . . A34005 2197 1 Below below IN A34005 2197 2 that that IN A34005 2197 3 the the DT A34005 2197 4 quadrat quadrat NN A34005 2197 5 , , , A34005 2197 6 and and CC A34005 2197 7 shadowes shadowes NNP A34005 2197 8 . . . A34005 2198 1 Below below IN A34005 2198 2 that that DT A34005 2198 3 a a DT A34005 2198 4 line line NN A34005 2198 5 of of IN A34005 2198 6 Tangents tangent NNS A34005 2198 7 to to IN A34005 2198 8 45 45 CD A34005 2198 9 d. d. NN A34005 2198 10 Last last JJ A34005 2198 11 of of IN A34005 2198 12 all all PDT A34005 2198 13 the the DT A34005 2198 14 equal equal JJ A34005 2198 15 Limbe Limbe NNP A34005 2198 16 . . . A34005 2199 1 On on IN A34005 2199 2 the the DT A34005 2199 3 left left JJ A34005 2199 4 edge edge NN A34005 2199 5 is be VBZ A34005 2199 6 placed place VBN A34005 2199 7 the the DT A34005 2199 8 Dialling Dialling NNP A34005 2199 9 scale scale NN A34005 2199 10 of of IN A34005 2199 11 hours hour NNS A34005 2199 12 4 4 CD A34005 2199 13 Inches Inches NNPS A34005 2199 14 long long JJ A34005 2199 15 , , , A34005 2199 16 outwardmost outwardmost JJ A34005 2199 17 on on IN A34005 2199 18 the the DT A34005 2199 19 right right JJ A34005 2199 20 edge edge NN A34005 2199 21 a a DT A34005 2199 22 line line NN A34005 2199 23 of of IN A34005 2199 24 Latitudes Latitudes NNP A34005 2199 25 fitted fit VBN A34005 2199 26 thereto thereto NN A34005 2199 27 . . . A34005 2200 1 Within within IN A34005 2200 2 the the DT A34005 2200 3 line line NN A34005 2200 4 of of IN A34005 2200 5 sines sine NNS A34005 2200 6 close close JJ A34005 2200 7 abutting abut VBG A34005 2200 8 thereto thereto NN A34005 2200 9 is be VBZ A34005 2200 10 placed place VBN A34005 2200 11 a a DT A34005 2200 12 small small JJ A34005 2200 13 scale scale NN A34005 2200 14 called call VBD A34005 2200 15 the the DT A34005 2200 16 scale scale NN A34005 2200 17 of of IN A34005 2200 18 entrance entrance NN A34005 2200 19 beginning begin VBG A34005 2200 20 against against IN A34005 2200 21 52 52 CD A34005 2200 22 d. d. NNP A34005 2200 23 35 35 CD A34005 2200 24 min min NN A34005 2200 25 . . . A34005 2201 1 of of IN A34005 2201 2 the the DT A34005 2201 3 sines sine NNS A34005 2201 4 numbred numbre VBN A34005 2201 5 to to IN A34005 2201 6 60 60 CD A34005 2201 7 d. d. NN A34005 2201 8 The the DT A34005 2201 9 line line NN A34005 2201 10 of of IN A34005 2201 11 sines sine NNS A34005 2201 12 that that IN A34005 2201 13 issueth issueth NN A34005 2201 14 from from IN A34005 2201 15 the the DT A34005 2201 16 Center Center NNP A34005 2201 17 should should MD A34005 2201 18 for for IN A34005 2201 19 a a DT A34005 2201 20 particular particular JJ A34005 2201 21 use use NN A34005 2201 22 have have VBP A34005 2201 23 been be VBN A34005 2201 24 continued continue VBN A34005 2201 25 longer long RBR A34005 2201 26 to to IN A34005 2201 27 wit wit NN A34005 2201 28 to to IN A34005 2201 29 a a DT A34005 2201 30 secant secant NN A34005 2201 31 of of IN A34005 2201 32 28 28 CD A34005 2201 33 d. d. NN A34005 2201 34 because because IN A34005 2201 35 this this DT A34005 2201 36 could could MD A34005 2201 37 not not RB A34005 2201 38 be be VB A34005 2201 39 admitted admit VBN A34005 2201 40 , , , A34005 2201 41 the the DT A34005 2201 42 said say VBN A34005 2201 43 secant secant NN A34005 2201 44 is be VBZ A34005 2201 45 placed place VBN A34005 2201 46 outward outward RB A34005 2201 47 at at IN A34005 2201 48 the the DT A34005 2201 49 end end NN A34005 2201 50 of of IN A34005 2201 51 the the DT A34005 2201 52 scale scale NN A34005 2201 53 of of IN A34005 2201 54 entrance entrance NN A34005 2201 55 towards towards IN A34005 2201 56 the the DT A34005 2201 57 Limbe Limbe NNP A34005 2201 58 , , , A34005 2201 59 and and CC A34005 2201 60 as as RB A34005 2201 61 much much JJ A34005 2201 62 of of IN A34005 2201 63 the the DT A34005 2201 64 sine sine NN A34005 2201 65 as as IN A34005 2201 66 was be VBD A34005 2201 67 needful needful JJ A34005 2201 68 placed place VBN A34005 2201 69 at at IN A34005 2201 70 its -PRON- PRP$ A34005 2201 71 due due JJ A34005 2201 72 distance distance NN A34005 2201 73 , , , A34005 2201 74 at at IN A34005 2201 75 the the DT A34005 2201 76 other other JJ A34005 2201 77 end end NN A34005 2201 78 of of IN A34005 2201 79 the the DT A34005 2201 80 scale scale NN A34005 2201 81 of of IN A34005 2201 82 entrance entrance NN A34005 2201 83 . . . A34005 2202 1 Of of IN A34005 2202 2 the the DT A34005 2202 3 uses use NNS A34005 2202 4 of of IN A34005 2202 5 the the DT A34005 2202 6 said say VBN A34005 2202 7 quadrant quadrant NN A34005 2202 8 . . . A34005 2203 1 THe the DT A34005 2203 2 Almanack Almanack NNP A34005 2203 3 hath hath NN A34005 2203 4 been be VBN A34005 2203 5 largely largely RB A34005 2203 6 spoke speak VBN A34005 2203 7 to to IN A34005 2203 8 in in IN A34005 2203 9 pag pag NNP A34005 2203 10 . . . A34005 2204 1 12 12 CD A34005 2204 2 , , , A34005 2204 3 and and CC A34005 2204 4 13 13 CD A34005 2204 5 , , , A34005 2204 6 also also RB A34005 2204 7 again again RB A34005 2204 8 in in IN A34005 2204 9 the the DT A34005 2204 10 uses use NNS A34005 2204 11 of of IN A34005 2204 12 the the DT A34005 2204 13 Horizontal horizontal JJ A34005 2204 14 quadrant quadrant NN A34005 2204 15 pag pag NN A34005 2204 16 . . . A34005 2205 1 11 11 CD A34005 2205 2 , , , A34005 2205 3 12 12 CD A34005 2205 4 . . . A34005 2206 1 The the DT A34005 2206 2 quadrat quadrat NNP A34005 2206 3 and and CC A34005 2206 4 shadowes shadowes NNP A34005 2206 5 from from IN A34005 2206 6 pag pag NNP A34005 2206 7 . . . A34005 2207 1 35 35 CD A34005 2207 2 to to TO A34005 2207 3 44 44 CD A34005 2207 4 . . . A34005 2208 1 The the DT A34005 2208 2 line line NN A34005 2208 3 of of IN A34005 2208 4 Latitudes Latitudes NNP A34005 2208 5 and and CC A34005 2208 6 scale scale NN A34005 2208 7 of of IN A34005 2208 8 hours hour NNS A34005 2208 9 pag pag NN A34005 2208 10 . . . A34005 2209 1 250 250 CD A34005 2209 2 . . . A34005 2210 1 Again again RB A34005 2210 2 , , , A34005 2210 3 from from IN A34005 2210 4 page page NN A34005 2210 5 to to IN A34005 2210 6 262 262 CD A34005 2210 7 to to IN A34005 2210 8 274 274 CD A34005 2210 9 , , , A34005 2210 10 also also RB A34005 2210 11 the the DT A34005 2210 12 line line NN A34005 2210 13 of of IN A34005 2210 14 sines sine NNS A34005 2210 15 , , , A34005 2210 16 equal equal JJ A34005 2210 17 parts part NNS A34005 2210 18 , , , A34005 2210 19 and and CC A34005 2210 20 Tangents Tangents NNP A34005 2210 21 , , , A34005 2210 22 in in IN A34005 2210 23 other other JJ A34005 2210 24 parts part NNS A34005 2210 25 of of IN A34005 2210 26 the the DT A34005 2210 27 Booke Booke NNP A34005 2210 28 . . . A34005 2211 1 The the DT A34005 2211 2 use use NN A34005 2211 3 of of IN A34005 2211 4 the the DT A34005 2211 5 Projection Projection NNP A34005 2211 6 . . . A34005 2212 1 THis this DT A34005 2212 2 projection projection NN A34005 2212 3 is be VBZ A34005 2212 4 only only RB A34005 2212 5 fitted fit VBN A34005 2212 6 for for IN A34005 2212 7 finding find VBG A34005 2212 8 the the DT A34005 2212 9 hour hour NN A34005 2212 10 in in IN A34005 2212 11 the the DT A34005 2212 12 limb limb NN A34005 2212 13 , , , A34005 2212 14 and and CC A34005 2212 15 not not RB A34005 2212 16 the the DT A34005 2212 17 Azimuth Azimuth NNP A34005 2212 18 , , , A34005 2212 19 all all PDT A34005 2212 20 the the DT A34005 2212 21 Circular circular JJ A34005 2212 22 lines line NNS A34005 2212 23 on on IN A34005 2212 24 it -PRON- PRP A34005 2212 25 are be VBP A34005 2212 26 parallels parallel NNS A34005 2212 27 of of IN A34005 2212 28 Altitude altitude NN A34005 2212 29 or or CC A34005 2212 30 Depression Depression NNP A34005 2212 31 except except IN A34005 2212 32 the the DT A34005 2212 33 Ecliptick Ecliptick NNP A34005 2212 34 and and CC A34005 2212 35 Horizon Horizon NNP A34005 2212 36 , , , A34005 2212 37 the the DT A34005 2212 38 Ecliptick Ecliptick NNP A34005 2212 39 , , , A34005 2212 40 is be VBZ A34005 2212 41 known know VBN A34005 2212 42 by by IN A34005 2212 43 the the DT A34005 2212 44 Characters character NNS A34005 2212 45 of of IN A34005 2212 46 the the DT A34005 2212 47 signes signe NNS A34005 2212 48 , , , A34005 2212 49 and and CC A34005 2212 50 the the DT A34005 2212 51 Horizon Horizon NNP A34005 2212 52 lyeth lyeth NN A34005 2212 53 beneath beneath IN A34005 2212 54 it -PRON- PRP A34005 2212 55 , , , A34005 2212 56 being be VBG A34005 2212 57 numbred numbre VBN A34005 2212 58 with with IN A34005 2212 59 10 10 CD A34005 2212 60 , , , A34005 2212 61 20 20 CD A34005 2212 62 , , , A34005 2212 63 30 30 CD A34005 2212 64 , , , A34005 2212 65 40 40 CD A34005 2212 66 . . . A34005 2213 1 The the DT A34005 2213 2 parallels parallel NNS A34005 2213 3 of of IN A34005 2213 4 Altitude Altitude NNP A34005 2213 5 are be VBP A34005 2213 6 the the DT A34005 2213 7 Winter Winter NNP A34005 2213 8 parallels parallel NNS A34005 2213 9 of of IN A34005 2213 10 Stofler Stofler NNP A34005 2213 11 's 's POS A34005 2213 12 Astrolable astrolable NN A34005 2213 13 , , , A34005 2213 14 and and CC A34005 2213 15 are be VBP A34005 2213 16 numbred numbre VBN A34005 2213 17 from from IN A34005 2213 18 the the DT A34005 2213 19 Horizon Horizon NNP A34005 2213 20 upwards upwards RB A34005 2213 21 towards towards IN A34005 2213 22 the the DT A34005 2213 23 Center Center NNP A34005 2213 24 , , , A34005 2213 25 the the DT A34005 2213 26 parallels parallel NNS A34005 2213 27 of of IN A34005 2213 28 Depression depression NN A34005 2213 29 which which WDT A34005 2213 30 supply supply VBP A34005 2213 31 the the DT A34005 2213 32 use use NN A34005 2213 33 of of IN A34005 2213 34 Stoflers Stoflers NNPS A34005 2213 35 Summer Summer NNP A34005 2213 36 Altitudes altitude NNS A34005 2213 37 are be VBP A34005 2213 38 numbred numbre VBN A34005 2213 39 downwards downwards RB A34005 2213 40 from from IN A34005 2213 41 the the DT A34005 2213 42 top top NN A34005 2213 43 of of IN A34005 2213 44 the the DT A34005 2213 45 Projection Projection NNP A34005 2213 46 towards towards IN A34005 2213 47 the the DT A34005 2213 48 limb limb NN A34005 2213 49 . . . A34005 2214 1 To to TO A34005 2214 2 find find VB A34005 2214 3 the the DT A34005 2214 4 time time NN A34005 2214 5 of of IN A34005 2214 6 Sun Sun NNP A34005 2214 7 rising rise VBG A34005 2214 8 , , , A34005 2214 9 and and CC A34005 2214 10 his -PRON- PRP$ A34005 2214 11 Amplitude Amplitude NNP A34005 2214 12 . . . A34005 2215 1 LAy LAy NNP A34005 2215 2 the the DT A34005 2215 3 thread thread NN A34005 2215 4 over over IN A34005 2215 5 the the DT A34005 2215 6 day day NN A34005 2215 7 of of IN A34005 2215 8 the the DT A34005 2215 9 moneth moneth NN A34005 2215 10 , , , A34005 2215 11 and and CC A34005 2215 12 set set VBD A34005 2215 13 the the DT A34005 2215 14 Bead Bead NNP A34005 2215 15 to to IN A34005 2215 16 the the DT A34005 2215 17 Ecliptick Ecliptick NNP A34005 2215 18 , , , A34005 2215 19 then then RB A34005 2215 20 carry carry VB A34005 2215 21 the the DT A34005 2215 22 thread thread NN A34005 2215 23 and and CC A34005 2215 24 Bead Bead NNP A34005 2215 25 to to IN A34005 2215 26 the the DT A34005 2215 27 Horizon Horizon NNP A34005 2215 28 , , , A34005 2215 29 and and CC A34005 2215 30 the the DT A34005 2215 31 thread thread NN A34005 2215 32 in in IN A34005 2215 33 the the DT A34005 2215 34 limb limb NN A34005 2215 35 , , , A34005 2215 36 shewes shewes NNP A34005 2215 37 the the DT A34005 2215 38 time time NN A34005 2215 39 of of IN A34005 2215 40 rising rise VBG A34005 2215 41 , , , A34005 2215 42 and and CC A34005 2215 43 the the DT A34005 2215 44 Bead Bead NNP A34005 2215 45 on on IN A34005 2215 46 the the DT A34005 2215 47 Horizon Horizon NNP A34005 2215 48 the the DT A34005 2215 49 quantity quantity NN A34005 2215 50 of of IN A34005 2215 51 the the DT A34005 2215 52 Amplitude Amplitude NNP A34005 2215 53 . . . A34005 2216 1 Example example NN A34005 2216 2 . . . A34005 2217 1 So so RB A34005 2217 2 on on IN A34005 2217 3 the the DT A34005 2217 4 second second JJ A34005 2217 5 of of IN A34005 2217 6 August August NNP A34005 2217 7 the the DT A34005 2217 8 Suns Suns NNP A34005 2217 9 Declination Declination NNP A34005 2217 10 being be VBG A34005 2217 11 15 15 CD A34005 2217 12 d d NN A34005 2217 13 ▪ ▪ NN A34005 2217 14 his -PRON- PRP$ A34005 2217 15 Amplitude Amplitude NNP A34005 2217 16 will will MD A34005 2217 17 be be VB A34005 2217 18 24 24 CD A34005 2217 19 d. d. NNP A34005 2217 20 35 35 CD A34005 2217 21 min min NN A34005 2217 22 . . . A34005 2218 1 and and CC A34005 2218 2 the the DT A34005 2218 3 time time NN A34005 2218 4 of of IN A34005 2218 5 rising rise VBG A34005 2218 6 41′ 41′ CD A34005 2218 7 past past IN A34005 2218 8 4 4 CD A34005 2218 9 in in IN A34005 2218 10 the the DT A34005 2218 11 morning morning NN A34005 2218 12 . . . A34005 2219 1 To to TO A34005 2219 2 find find VB A34005 2219 3 the the DT A34005 2219 4 Hour Hour NNP A34005 2219 5 of of IN A34005 2219 6 the the DT A34005 2219 7 Day day NN A34005 2219 8 . . . A34005 2220 1 HAving have VBG A34005 2220 2 taken take VBN A34005 2220 3 the the DT A34005 2220 4 Suns Suns NNPS A34005 2220 5 Altitude Altitude NNP A34005 2220 6 and and CC A34005 2220 7 rectified rectify VBD A34005 2220 8 the the DT A34005 2220 9 Bead Bead NNP A34005 2220 10 as as IN A34005 2220 11 before before IN A34005 2220 12 shewed shew VBN A34005 2220 13 , , , A34005 2220 14 if if IN A34005 2220 15 the the DT A34005 2220 16 Sun Sun NNP A34005 2220 17 have have VBP A34005 2220 18 South South NNP A34005 2220 19 Declination Declination NNP A34005 2220 20 bring bring VB A34005 2220 21 the the DT A34005 2220 22 Bead Bead NNP A34005 2220 23 to to IN A34005 2220 24 that that DT A34005 2220 25 parallel parallel NN A34005 2220 26 of of IN A34005 2220 27 Altitude altitude NN A34005 2220 28 on on IN A34005 2220 29 which which WDT A34005 2220 30 the the DT A34005 2220 31 Suns Suns NNPS A34005 2220 32 height height NN A34005 2220 33 was be VBD A34005 2220 34 observed observe VBN A34005 2220 35 , , , A34005 2220 36 amongst amongst IN A34005 2220 37 those those DT A34005 2220 38 parallels parallel NNS A34005 2220 39 that that WDT A34005 2220 40 are be VBP A34005 2220 41 numbred numbre VBN A34005 2220 42 upward upward RB A34005 2220 43 towards towards IN A34005 2220 44 the the DT A34005 2220 45 Center Center NNP A34005 2220 46 , , , A34005 2220 47 and and CC A34005 2220 48 the the DT A34005 2220 49 thread thread NN A34005 2220 50 in in IN A34005 2220 51 the the DT A34005 2220 52 limb limb NN A34005 2220 53 sheweth sheweth NN A34005 2220 54 the the DT A34005 2220 55 time time NN A34005 2220 56 of of IN A34005 2220 57 the the DT A34005 2220 58 day day NN A34005 2220 59 . . . A34005 2221 1 Eample Eample NNS A34005 2221 2 . . . A34005 2222 1 So so RB A34005 2222 2 when when WRB A34005 2222 3 the the DT A34005 2222 4 Sun Sun NNP A34005 2222 5 hath hath NNP A34005 2222 6 15 15 CD A34005 2222 7 d. d. NN A34005 2222 8 of of IN A34005 2222 9 South South NNP A34005 2222 10 Declination Declination NNP A34005 2222 11 , , , A34005 2222 12 as as IN A34005 2222 13 about about IN A34005 2222 14 28th 28th NN A34005 2222 15 of of IN A34005 2222 16 January January NNP A34005 2222 17 , , , A34005 2222 18 if if IN A34005 2222 19 his -PRON- PRP$ A34005 2222 20 Altitude altitude NN A34005 2222 21 be be VBP A34005 2222 22 15 15 CD A34005 2222 23 deg deg NN A34005 2222 24 . . . A34005 2223 1 the the DT A34005 2223 2 time time NN A34005 2223 3 of of IN A34005 2223 4 the the DT A34005 2223 5 day day NN A34005 2223 6 will will MD A34005 2223 7 be be VB A34005 2223 8 39 39 CD A34005 2223 9 m. m. NN A34005 2223 10 past past IN A34005 2223 11 2 2 CD A34005 2223 12 in in IN A34005 2223 13 the the DT A34005 2223 14 afternoon afternoon NN A34005 2223 15 , , , A34005 2223 16 or or CC A34005 2223 17 21 21 CD A34005 2223 18 m. m. NN A34005 2223 19 past past IN A34005 2223 20 9 9 CD A34005 2223 21 in in IN A34005 2223 22 the the DT A34005 2223 23 morning morning NN A34005 2223 24 . . . A34005 2224 1 But but CC A34005 2224 2 in in IN A34005 2224 3 the the DT A34005 2224 4 Summer Summer NNP A34005 2224 5 half half NN A34005 2224 6 year year NN A34005 2224 7 bring bring VBP A34005 2224 8 the the DT A34005 2224 9 Bead Bead NNP A34005 2224 10 to to TO A34005 2224 11 lye lye VB A34005 2224 12 on on IN A34005 2224 13 those those DT A34005 2224 14 parallels parallel NNS A34005 2224 15 that that WDT A34005 2224 16 are be VBP A34005 2224 17 numbred numbre VBN A34005 2224 18 downwards downwards RB A34005 2224 19 to to IN A34005 2224 20 the the DT A34005 2224 21 limb limb NN A34005 2224 22 , , , A34005 2224 23 and and CC A34005 2224 24 the the DT A34005 2224 25 thread thread NN A34005 2224 26 sheweth sheweth VBZ A34005 2224 27 therein therein RB A34005 2224 28 the the DT A34005 2224 29 time time NN A34005 2224 30 of of IN A34005 2224 31 the the DT A34005 2224 32 day day NN A34005 2224 33 sought seek VBD A34005 2224 34 . . . A34005 2225 1 Example example NN A34005 2225 2 . . . A34005 2226 1 If if IN A34005 2226 2 on on IN A34005 2226 3 the the DT A34005 2226 4 second second JJ A34005 2226 5 of of IN A34005 2226 6 August August NNP A34005 2226 7 his -PRON- PRP$ A34005 2226 8 Declination declination NN A34005 2226 9 being be VBG A34005 2226 10 15 15 CD A34005 2226 11 d. d. NN A34005 2226 12 his -PRON- PRP$ A34005 2226 13 Altitude altitude NN A34005 2226 14 were be VBD A34005 2226 15 40 40 CD A34005 2226 16 d. d. NN A34005 2226 17 the the DT A34005 2226 18 true true JJ A34005 2226 19 time time NN A34005 2226 20 of of IN A34005 2226 21 the the DT A34005 2226 22 day day NN A34005 2226 23 would would MD A34005 2226 24 be be VB A34005 2226 25 8 8 CD A34005 2226 26 m. m. NN A34005 2226 27 past past IN A34005 2226 28 9 9 CD A34005 2226 29 in in IN A34005 2226 30 the the DT A34005 2226 31 morning morning NN A34005 2226 32 , , , A34005 2226 33 or or CC A34005 2226 34 52 52 CD A34005 2226 35 m. m. NN A34005 2226 36 past past IN A34005 2226 37 2 2 CD A34005 2226 38 in in IN A34005 2226 39 the the DT A34005 2226 40 afternoon afternoon NN A34005 2226 41 . . . A34005 2227 1 If if IN A34005 2227 2 the the DT A34005 2227 3 Bead Bead NNP A34005 2227 4 will will MD A34005 2227 5 not not RB A34005 2227 6 meet meet VB A34005 2227 7 with with IN A34005 2227 8 the the DT A34005 2227 9 Altitude Altitude NNP A34005 2227 10 given give VBN A34005 2227 11 amongst amongst IN A34005 2227 12 those those DT A34005 2227 13 parallels parallel NNS A34005 2227 14 that that WDT A34005 2227 15 run run VBP A34005 2227 16 donwnwards donwnward NNS A34005 2227 17 towards towards IN A34005 2227 18 the the DT A34005 2227 19 right right JJ A34005 2227 20 edge edge NN A34005 2227 21 , , , A34005 2227 22 then then RB A34005 2227 23 it -PRON- PRP A34005 2227 24 must must MD A34005 2227 25 be be VB A34005 2227 26 brought bring VBN A34005 2227 27 to to IN A34005 2227 28 those those DT A34005 2227 29 parallels parallel NNS A34005 2227 30 that that WDT A34005 2227 31 lye lye VBP A34005 2227 32 below below IN A34005 2227 33 the the DT A34005 2227 34 Horizon Horizon NNP A34005 2227 35 downward downward RB A34005 2227 36 towards towards IN A34005 2227 37 the the DT A34005 2227 38 left left JJ A34005 2227 39 edge edge NN A34005 2227 40 , , , A34005 2227 41 and and CC A34005 2227 42 the the DT A34005 2227 43 thread thread NN A34005 2227 44 in in IN A34005 2227 45 the the DT A34005 2227 46 Limb Limb NNP A34005 2227 47 shewes shew VBD A34005 2227 48 the the DT A34005 2227 49 time time NN A34005 2227 50 of of IN A34005 2227 51 the the DT A34005 2227 52 day day NN A34005 2227 53 before before IN A34005 2227 54 six six CD A34005 2227 55 in in IN A34005 2227 56 the the DT A34005 2227 57 morning morning NN A34005 2227 58 or or CC A34005 2227 59 after after IN A34005 2227 60 it -PRON- PRP A34005 2227 61 in in IN A34005 2227 62 the the DT A34005 2227 63 evening evening NN A34005 2227 64 in in IN A34005 2227 65 Summer Summer NNP A34005 2227 66 . . . A34005 2228 1 Example example NN A34005 2228 2 . . . A34005 2229 1 When when WRB A34005 2229 2 the the DT A34005 2229 3 Sun Sun NNP A34005 2229 4 hath hath NNP A34005 2229 5 15 15 CD A34005 2229 6 d. d. NN A34005 2229 7 of of IN A34005 2229 8 North North NNP A34005 2229 9 Declination Declination NNP A34005 2229 10 as as IN A34005 2229 11 on on IN A34005 2229 12 the the DT A34005 2229 13 second second JJ A34005 2229 14 of of IN A34005 2229 15 August August NNP A34005 2229 16 if if IN A34005 2229 17 his -PRON- PRP$ A34005 2229 18 Altitude altitude NN A34005 2229 19 be be VBP A34005 2229 20 5 5 CD A34005 2229 21 d. d. NN A34005 2229 22 the the DT A34005 2229 23 time time NN A34005 2229 24 of of IN A34005 2229 25 the the DT A34005 2229 26 Day day NN A34005 2229 27 will will MD A34005 2229 28 be be VB A34005 2229 29 44 44 CD A34005 2229 30 m. m. NN A34005 2229 31 before before IN A34005 2229 32 6 6 CD A34005 2229 33 in in IN A34005 2229 34 the the DT A34005 2229 35 morning morning NN A34005 2229 36 , , , A34005 2229 37 or or CC A34005 2229 38 after after IN A34005 2229 39 it -PRON- PRP A34005 2229 40 in in IN A34005 2229 41 the the DT A34005 2229 42 evening evening NN A34005 2229 43 . . . A34005 2230 1 Of of IN A34005 2230 2 the the DT A34005 2230 3 general general JJ A34005 2230 4 lines line NNS A34005 2230 5 on on IN A34005 2230 6 this this DT A34005 2230 7 quadrant quadrant NN A34005 2230 8 . . . A34005 2231 1 THe the DT A34005 2231 2 line line NN A34005 2231 3 of of IN A34005 2231 4 sines sine NNS A34005 2231 5 on on IN A34005 2231 6 the the DT A34005 2231 7 right right JJ A34005 2231 8 edge edge NN A34005 2231 9 is be VBZ A34005 2231 10 general general JJ A34005 2231 11 for for IN A34005 2231 12 finding find VBG A34005 2231 13 either either CC A34005 2231 14 the the DT A34005 2231 15 hour hour NN A34005 2231 16 or or CC A34005 2231 17 the the DT A34005 2231 18 Azimuth Azimuth NNP A34005 2231 19 in in IN A34005 2231 20 the the DT A34005 2231 21 equal equal JJ A34005 2231 22 limb limb NN A34005 2231 23 , , , A34005 2231 24 or or CC A34005 2231 25 in in IN A34005 2231 26 the the DT A34005 2231 27 said said JJ A34005 2231 28 line line NN A34005 2231 29 of of IN A34005 2231 30 sines sine NNS A34005 2231 31 , , , A34005 2231 32 as as IN A34005 2231 33 I -PRON- PRP A34005 2231 34 have have VBP A34005 2231 35 largely largely RB A34005 2231 36 shewed shew VBN A34005 2231 37 in in IN A34005 2231 38 page page NN A34005 2231 39 231 231 CD A34005 2231 40 for for IN A34005 2231 41 finding find VBG A34005 2231 42 the the DT A34005 2231 43 hour hour NN A34005 2231 44 , , , A34005 2231 45 also also RB A34005 2231 46 for for IN A34005 2231 47 finding find VBG A34005 2231 48 the the DT A34005 2231 49 Suns Suns NNPS A34005 2231 50 Altitudes Altitudes NNPS A34005 2231 51 on on IN A34005 2231 52 all all DT A34005 2231 53 hours hour NNS A34005 2231 54 , , , A34005 2231 55 as as IN A34005 2231 56 in in IN A34005 2231 57 page page NN A34005 2231 58 234 234 CD A34005 2231 59 , , , A34005 2231 60 for for IN A34005 2231 61 finding find VBG A34005 2231 62 the the DT A34005 2231 63 Azimuth Azimuth NNP A34005 2231 64 from from IN A34005 2231 65 page page NN A34005 2231 66 237 237 CD A34005 2231 67 to to TO A34005 2231 68 pag pag VB A34005 2231 69 . . . A34005 2232 1 2.9 2.9 CD A34005 2232 2 . . . A34005 2233 1 Though though IN A34005 2233 2 this this DT A34005 2233 3 quadrant quadrant JJ A34005 2233 4 hath hath NN A34005 2233 5 neither neither DT A34005 2233 6 secants secant NNS A34005 2233 7 nor nor CC A34005 2233 8 versed versed JJ A34005 2233 9 sines sine NNS A34005 2233 10 as as IN A34005 2233 11 the the DT A34005 2233 12 rest rest NN A34005 2233 13 have have VBP A34005 2233 14 , , , A34005 2233 15 yet yet CC A34005 2233 16 both both DT A34005 2233 17 may may MD A34005 2233 18 be be VB A34005 2233 19 easily easily RB A34005 2233 20 supplyed supply VBN A34005 2233 21 , , , A34005 2233 22 let let VB A34005 2233 23 it -PRON- PRP A34005 2233 24 be be VB A34005 2233 25 required require VBN A34005 2233 26 to to TO A34005 2233 27 work work VB A34005 2233 28 this this DT A34005 2233 29 Proportion proportion NN A34005 2233 30 . . . A34005 2234 1 As as IN A34005 2234 2 the the DT A34005 2234 3 Co co NN A34005 2234 4 - - NN A34005 2234 5 sine sine NN A34005 2234 6 of of IN A34005 2234 7 the the DT A34005 2234 8 declination declination NN A34005 2234 9 , , , A34005 2234 10 Is be VBZ A34005 2234 11 to to IN A34005 2234 12 the the DT A34005 2234 13 secant secant NN A34005 2234 14 of of IN A34005 2234 15 the the DT A34005 2234 16 Latitude Latitude NNP A34005 2234 17 , , , A34005 2234 18 So so RB A34005 2234 19 is be VBZ A34005 2234 20 the the DT A34005 2234 21 difference difference NN A34005 2234 22 of of IN A34005 2234 23 the the DT A34005 2234 24 sines sine NNS A34005 2234 25 of of IN A34005 2234 26 the the DT A34005 2234 27 Suns Suns NNPS A34005 2234 28 Meridian Meridian NNP A34005 2234 29 and and CC A34005 2234 30 given give VBN A34005 2234 31 Altitude altitude NN A34005 2234 32 , , , A34005 2234 33 To to IN A34005 2234 34 the the DT A34005 2234 35 versed versed JJ A34005 2234 36 sine sine NN A34005 2234 37 of of IN A34005 2234 38 the the DT A34005 2234 39 hour hour NN A34005 2234 40 from from IN A34005 2234 41 noon noon NN A34005 2234 42 , , , A34005 2234 43 before before IN A34005 2234 44 or or CC A34005 2234 45 after after IN A34005 2234 46 six six CD A34005 2234 47 the the DT A34005 2234 48 hour hour NN A34005 2234 49 may may MD A34005 2234 50 be be VB A34005 2234 51 found find VBN A34005 2234 52 from from IN A34005 2234 53 midnight midnight NN A34005 2234 54 by by IN A34005 2234 55 the the DT A34005 2234 56 proportions proportion NNS A34005 2234 57 in in IN A34005 2234 58 page page NN A34005 2234 59 230 230 CD A34005 2234 60 . . . A34005 2235 1 Let let VB A34005 2235 2 the the DT A34005 2235 3 Radius Radius NNP A34005 2235 4 of of IN A34005 2235 5 the the DT A34005 2235 6 sines sine NNS A34005 2235 7 be be VB A34005 2235 8 assumed assume VBN A34005 2235 9 to to TO A34005 2235 10 represent represent VB A34005 2235 11 the the DT A34005 2235 12 secant secant NN A34005 2235 13 of of IN A34005 2235 14 the the DT A34005 2235 15 Latitude Latitude NNP A34005 2235 16 , , , A34005 2235 17 the the DT A34005 2235 18 Radius Radius NNP A34005 2235 19 to to IN A34005 2235 20 that that DT A34005 2235 21 secant secant NN A34005 2235 22 will will MD A34005 2235 23 be be VB A34005 2235 24 the the DT A34005 2235 25 cosine cosine NN A34005 2235 26 of of IN A34005 2235 27 the the DT A34005 2235 28 Latitude Latitude NNP A34005 2235 29 , , , A34005 2235 30 then then RB A34005 2235 31 lay lie VBD A34005 2235 32 the the DT A34005 2235 33 thread thread NN A34005 2235 34 to to IN A34005 2235 35 the the DT A34005 2235 36 complement complement NN A34005 2235 37 of of IN A34005 2235 38 the the DT A34005 2235 39 Declination Declination NNP A34005 2235 40 in in IN A34005 2235 41 the the DT A34005 2235 42 limb limb NN A34005 2235 43 counted count VBN A34005 2235 44 from from IN A34005 2235 45 right right JJ A34005 2235 46 edge edge NN A34005 2235 47 , , , A34005 2235 48 and and CC A34005 2235 49 take take VB A34005 2235 50 the the DT A34005 2235 51 nearest near JJS A34005 2235 52 distance distance NN A34005 2235 53 to to IN A34005 2235 54 it -PRON- PRP A34005 2235 55 . . . A34005 2236 1 I -PRON- PRP A34005 2236 2 say say VBP A34005 2236 3 that that DT A34005 2236 4 extent extent NN A34005 2236 5 shall shall MD A34005 2236 6 be be VB A34005 2236 7 the the DT A34005 2236 8 cosine cosine NN A34005 2236 9 of of IN A34005 2236 10 the the DT A34005 2236 11 Declination Declination NNP A34005 2236 12 to to IN A34005 2236 13 the the DT A34005 2236 14 Radius Radius NNP A34005 2236 15 of of IN A34005 2236 16 the the DT A34005 2236 17 Secant Secant NNP A34005 2236 18 enter enter VBP A34005 2236 19 this this DT A34005 2236 20 at at IN A34005 2236 21 90 90 CD A34005 2236 22 d. d. NN A34005 2236 23 of of IN A34005 2236 24 the the DT A34005 2236 25 line line NN A34005 2236 26 of of IN A34005 2236 27 sines sine NNS A34005 2236 28 laying lay VBG A34005 2236 29 the the DT A34005 2236 30 thread thread NN A34005 2236 31 to to IN A34005 2236 32 the the DT A34005 2236 33 other other JJ A34005 2236 34 foot foot NN A34005 2236 35 according accord VBG A34005 2236 36 to to IN A34005 2236 37 nearest near JJS A34005 2236 38 distance distance NN A34005 2236 39 , , , A34005 2236 40 then then RB A34005 2236 41 in in IN A34005 2236 42 the the DT A34005 2236 43 sines sine NNS A34005 2236 44 take take VBP A34005 2236 45 the the DT A34005 2236 46 distance distance NN A34005 2236 47 between between IN A34005 2236 48 the the DT A34005 2236 49 Meridian Meridian NNP A34005 2236 50 Altitude Altitude NNP A34005 2236 51 and and CC A34005 2236 52 the the DT A34005 2236 53 given give VBN A34005 2236 54 Altitude altitude NN A34005 2236 55 , , , A34005 2236 56 and and CC A34005 2236 57 enter enter VBP A34005 2236 58 that that DT A34005 2236 59 extent extent NN A34005 2236 60 so so IN A34005 2236 61 upon upon IN A34005 2236 62 the the DT A34005 2236 63 sines sine NNS A34005 2236 64 that that IN A34005 2236 65 one one CD A34005 2236 66 foot foot NN A34005 2236 67 resting rest VBG A34005 2236 68 thereon thereon NN A34005 2236 69 , , , A34005 2236 70 the the DT A34005 2236 71 other other JJ A34005 2236 72 turned turn VBD A34005 2236 73 about about IN A34005 2236 74 may may MD A34005 2236 75 just just RB A34005 2236 76 touch touch VB A34005 2236 77 the the DT A34005 2236 78 thread thread NN A34005 2236 79 the the DT A34005 2236 80 distance distance NN A34005 2236 81 between between IN A34005 2236 82 the the DT A34005 2236 83 resting rest VBG A34005 2236 84 foot foot NN A34005 2236 85 and and CC A34005 2236 86 the the DT A34005 2236 87 Center Center NNP A34005 2236 88 is be VBZ A34005 2236 89 equal equal JJ A34005 2236 90 to to IN A34005 2236 91 the the DT A34005 2236 92 versed versed JJ A34005 2236 93 sine sine NN A34005 2236 94 of of IN A34005 2236 95 the the DT A34005 2236 96 ark ark NNP A34005 2236 97 sought seek VBD A34005 2236 98 and and CC A34005 2236 99 being be VBG A34005 2236 100 measured measure VBN A34005 2236 101 from from IN A34005 2236 102 the the DT A34005 2236 103 end end NN A34005 2236 104 of of IN A34005 2236 105 the the DT A34005 2236 106 line line NN A34005 2236 107 of of IN A34005 2236 108 sines sine NNS A34005 2236 109 towards towards IN A34005 2236 110 the the DT A34005 2236 111 Center Center NNP A34005 2236 112 shewes shew VBD A34005 2236 113 the the DT A34005 2236 114 ark ark NNP A34005 2236 115 sought seek VBD A34005 2236 116 . . . A34005 2237 1 Example example NN A34005 2237 2 . . . A34005 2238 1 When when WRB A34005 2238 2 the the DT A34005 2238 3 Suns Suns NNP A34005 2238 4 Declination Declination NNP A34005 2238 5 is be VBZ A34005 2238 6 15 15 CD A34005 2238 7 d. d. NN A34005 2238 8 North North NNP A34005 2238 9 if if IN A34005 2238 10 his -PRON- PRP$ A34005 2238 11 Altitude altitude NN A34005 2238 12 were be VBD A34005 2238 13 35 35 CD A34005 2238 14 d. d. NN A34005 2238 15 21 21 CD A34005 2238 16 m. m. NN A34005 2238 17 the the DT A34005 2238 18 time time NN A34005 2238 19 of of IN A34005 2238 20 the the DT A34005 2238 21 day day NN A34005 2238 22 would would MD A34005 2238 23 be be VB A34005 2238 24 found find VBN A34005 2238 25 45 45 CD A34005 2238 26 d. d. NN A34005 2238 27 from from IN A34005 2238 28 noon noon NN A34005 2238 29 , , , A34005 2238 30 that that RB A34005 2238 31 is is RB A34005 2238 32 9 9 CD A34005 2238 33 in in IN A34005 2238 34 the the DT A34005 2238 35 morning morning NN A34005 2238 36 or or CC A34005 2238 37 3 3 CD A34005 2238 38 in in IN A34005 2238 39 the the DT A34005 2238 40 afternoon afternoon NN A34005 2238 41 . . . A34005 2239 1 Of of IN A34005 2239 2 finding find VBG A34005 2239 3 the the DT A34005 2239 4 Azimuth Azimuth NNP A34005 2239 5 generally generally RB A34005 2239 6 . . . A34005 2240 1 THough though IN A34005 2240 2 this this DT A34005 2240 3 may may MD A34005 2240 4 be be VB A34005 2240 5 found find VBN A34005 2240 6 either either CC A34005 2240 7 by by IN A34005 2240 8 the the DT A34005 2240 9 sines sine NNS A34005 2240 10 alone alone RB A34005 2240 11 in in IN A34005 2240 12 the the DT A34005 2240 13 equal equal JJ A34005 2240 14 limbe limbe NN A34005 2240 15 as as IN A34005 2240 16 before before IN A34005 2240 17 mentioned mention VBN A34005 2240 18 , , , A34005 2240 19 or or CC A34005 2240 20 by by IN A34005 2240 21 versed versed JJ A34005 2240 22 sines sine NNS A34005 2240 23 as as IN A34005 2240 24 was be VBD A34005 2240 25 instanced instance VBN A34005 2240 26 for for IN A34005 2240 27 the the DT A34005 2240 28 hour hour NN A34005 2240 29 , , , A34005 2240 30 see see VB A34005 2240 31 also also RB A34005 2240 32 page page NN A34005 2240 33 239 239 CD A34005 2240 34 , , , A34005 2240 35 240 240 CD A34005 2240 36 , , , A34005 2240 37 241 241 CD A34005 2240 38 , , , A34005 2240 39 yet yet CC A34005 2240 40 where where WRB A34005 2240 41 the the DT A34005 2240 42 Sun Sun NNP A34005 2240 43 hath hath NNP A34005 2240 44 vertical vertical JJ A34005 2240 45 Altitude Altitude NNP A34005 2240 46 or or CC A34005 2240 47 Depression Depression NNP A34005 2240 48 , , , A34005 2240 49 as as IN A34005 2240 50 in in IN A34005 2240 51 places place NNS A34005 2240 52 without without IN A34005 2240 53 the the DT A34005 2240 54 Tropicks tropick NNS A34005 2240 55 towards towards IN A34005 2240 56 either either DT A34005 2240 57 of of IN A34005 2240 58 the the DT A34005 2240 59 Poles Poles NNPS A34005 2240 60 , , , A34005 2240 61 it -PRON- PRP A34005 2240 62 may may MD A34005 2240 63 be be VB A34005 2240 64 found find VBN A34005 2240 65 most most RBS A34005 2240 66 easily easily RB A34005 2240 67 in in IN A34005 2240 68 the the DT A34005 2240 69 equal equal JJ A34005 2240 70 limb limb NN A34005 2240 71 by by IN A34005 2240 72 the the DT A34005 2240 73 joynt joynt NNP A34005 2240 74 help help NN A34005 2240 75 of of IN A34005 2240 76 sines sine NNS A34005 2240 77 and and CC A34005 2240 78 tangents tangent NNS A34005 2240 79 by by IN A34005 2240 80 the the DT A34005 2240 81 proportions proportion NNS A34005 2240 82 in in IN A34005 2240 83 page page NN A34005 2240 84 175 175 CD A34005 2240 85 . . . A34005 2241 1 First first RB A34005 2241 2 , , , A34005 2241 3 find find VB A34005 2241 4 the the DT A34005 2241 5 vertical vertical JJ A34005 2241 6 Altitude altitude NN A34005 2241 7 as as IN A34005 2241 8 is be VBZ A34005 2241 9 shewed shew VBN A34005 2241 10 in in IN A34005 2241 11 page page NN A34005 2241 12 174 174 CD A34005 2241 13 . . . A34005 2242 1 Then then RB A34005 2242 2 for for IN A34005 2242 3 Latitudes Latitudes NNPS A34005 2242 4 under under IN A34005 2242 5 45 45 CD A34005 2242 6 d. d. NN A34005 2242 7 Enter enter VBP A34005 2242 8 in in IN A34005 2242 9 Summer Summer NNP A34005 2242 10 Declinations declination NNS A34005 2242 11 the the DT A34005 2242 12 difference difference NN A34005 2242 13 , , , A34005 2242 14 but but CC A34005 2242 15 in in IN A34005 2242 16 Winter Winter NNP A34005 2242 17 Declinations Declinations NNPS A34005 2242 18 the the DT A34005 2242 19 sum sum NN A34005 2242 20 , , , A34005 2242 21 of of IN A34005 2242 22 the the DT A34005 2242 23 sines sine NNS A34005 2242 24 of of IN A34005 2242 25 the the DT A34005 2242 26 vertical vertical JJ A34005 2242 27 Altitude altitude NN A34005 2242 28 , , , A34005 2242 29 and and CC A34005 2242 30 of of IN A34005 2242 31 the the DT A34005 2242 32 proposed propose VBN A34005 2242 33 Altitude Altitude NNP A34005 2242 34 once once RB A34005 2242 35 done do VBN A34005 2242 36 the the DT A34005 2242 37 line line NN A34005 2242 38 of of IN A34005 2242 39 sines sine NNS A34005 2242 40 from from IN A34005 2242 41 the the DT A34005 2242 42 Center Center NNP A34005 2242 43 , , , A34005 2242 44 and and CC A34005 2242 45 laying lay VBG A34005 2242 46 the the DT A34005 2242 47 thread thread NN A34005 2242 48 over over IN A34005 2242 49 the the DT A34005 2242 50 Tangent Tangent NNP A34005 2242 51 of of IN A34005 2242 52 the the DT A34005 2242 53 Latitude Latitude NNP A34005 2242 54 take take VB A34005 2242 55 the the DT A34005 2242 56 nearest near JJS A34005 2242 57 distance distance NN A34005 2242 58 to to IN A34005 2242 59 it -PRON- PRP A34005 2242 60 , , , A34005 2242 61 then then RB A34005 2242 62 enter enter VB A34005 2242 63 that that DT A34005 2242 64 Extent extent NN A34005 2242 65 at at IN A34005 2242 66 the the DT A34005 2242 67 complement complement NN A34005 2242 68 of of IN A34005 2242 69 the the DT A34005 2242 70 Altitude Altitude NNP A34005 2242 71 in in IN A34005 2242 72 the the DT A34005 2242 73 Sines Sines NNPS A34005 2242 74 , , , A34005 2242 75 and and CC A34005 2242 76 lay lie VBD A34005 2242 77 the the DT A34005 2242 78 thread thread NN A34005 2242 79 to to IN A34005 2242 80 the the DT A34005 2242 81 other other JJ A34005 2242 82 foot foot NN A34005 2242 83 , , , A34005 2242 84 and and CC A34005 2242 85 in in IN A34005 2242 86 the the DT A34005 2242 87 limb limb NN A34005 2242 88 it -PRON- PRP A34005 2242 89 shewes shew VBZ A34005 2242 90 the the DT A34005 2242 91 Azimuth Azimuth NNP A34005 2242 92 from from IN A34005 2242 93 the the DT A34005 2242 94 East East NNP A34005 2242 95 or or CC A34005 2242 96 West West NNP A34005 2242 97 . . . A34005 2243 1 Example example NN A34005 2243 2 . . . A34005 2244 1 For for IN A34005 2244 2 the the DT A34005 2244 3 Latitude Latitude NNP A34005 2244 4 of of IN A34005 2244 5 Rome Rome NNP A34005 2244 6 to to TO A34005 2244 7 witt witt VB A34005 2244 8 42 42 CD A34005 2244 9 d. d. NN A34005 2244 10 If if IN A34005 2244 11 the the DT A34005 2244 12 Sun Sun NNP A34005 2244 13 have have VBP A34005 2244 14 15 15 CD A34005 2244 15 d. d. NN A34005 2244 16 of of IN A34005 2244 17 North North NNP A34005 2244 18 Declination Declination NNP A34005 2244 19 his -PRON- PRP$ A34005 2244 20 vertical vertical JJ A34005 2244 21 Altitude altitude NN A34005 2244 22 is be VBZ A34005 2244 23 22 22 CD A34005 2244 24 d. d. NN A34005 2244 25 45 45 CD A34005 2244 26 m. m. NN A34005 2244 27 If if IN A34005 2244 28 his -PRON- PRP$ A34005 2244 29 given give VBN A34005 2244 30 Altitude altitude NN A34005 2244 31 ● ● . A34005 2244 32 e e NNP A34005 2244 33 40 40 CD A34005 2244 34 d. d. NN A34005 2244 35 the the DT A34005 2244 36 Azimuth Azimuth NNP A34005 2244 37 of of IN A34005 2244 38 the the DT A34005 2244 39 Sun Sun NNP A34005 2244 40 will will MD A34005 2244 41 be be VB A34005 2244 42 17 17 CD A34005 2244 43 d. d. NN A34005 2244 44 33 33 CD A34005 2244 45 m. m. NN A34005 2244 46 to to IN A34005 2244 47 the the DT A34005 2244 48 Southward Southward NNP A34005 2244 49 of of IN A34005 2244 50 the the DT A34005 2244 51 West West NNP A34005 2244 52 . . . A34005 2245 1 If if IN A34005 2245 2 his -PRON- PRP$ A34005 2245 3 declination declination NN A34005 2245 4 were be VBD A34005 2245 5 as as RB A34005 2245 6 much much JJ A34005 2245 7 South South NNP A34005 2245 8 and and CC A34005 2245 9 his -PRON- PRP$ A34005 2245 10 proposed propose VBN A34005 2245 11 Altitude altitude NN A34005 2245 12 18 18 CD A34005 2245 13 d. d. NN A34005 2245 14 his -PRON- PRP$ A34005 2245 15 Azimuth Azimuth NNP A34005 2245 16 would would MD A34005 2245 17 be be VB A34005 2245 18 41 41 CD A34005 2245 19 d. d. NN A34005 2245 20 10 10 CD A34005 2245 21 m. m. NN A34005 2245 22 to to IN A34005 2245 23 the the DT A34005 2245 24 Southwards Southwards NNP A34005 2245 25 of of IN A34005 2245 26 the the DT A34005 2245 27 East East NNP A34005 2245 28 or or CC A34005 2245 29 West West NNP A34005 2245 30 . . . A34005 2246 1 For for IN A34005 2246 2 Latitudes Latitudes NNPS A34005 2246 3 above above IN A34005 2246 4 45 45 CD A34005 2246 5 . . . A34005 2247 1 If if IN A34005 2247 2 we -PRON- PRP A34005 2247 3 assume assume VBP A34005 2247 4 the the DT A34005 2247 5 Rad rad NN A34005 2247 6 . . . A34005 2248 1 of of IN A34005 2248 2 the the DT A34005 2248 3 quadrant quadrant NN A34005 2248 4 to to TO A34005 2248 5 be be VB A34005 2248 6 the the DT A34005 2248 7 tangent tangent NN A34005 2248 8 of of IN A34005 2248 9 the the DT A34005 2248 10 Latit Latit NNP A34005 2248 11 . . . A34005 2249 1 the the DT A34005 2249 2 Rad Rad NNP A34005 2249 3 . . . A34005 2250 1 to to IN A34005 2250 2 that that DT A34005 2250 3 Tang Tang NNP A34005 2250 4 . . . A34005 2251 1 shall shall MD A34005 2251 2 be be VB A34005 2251 3 the the DT A34005 2251 4 co co JJ A34005 2251 5 - - NN A34005 2251 6 tangent tangent NN A34005 2251 7 of of IN A34005 2251 8 the the DT A34005 2251 9 Latit Latit NNP A34005 2251 10 . . . A34005 2252 1 wherefore wherefore NN A34005 2252 2 lay lie VBD A34005 2252 3 the the DT A34005 2252 4 thread thread NN A34005 2252 5 to to IN A34005 2252 6 the the DT A34005 2252 7 complement complement NN A34005 2252 8 of of IN A34005 2252 9 the the DT A34005 2252 10 Latitude Latitude NNP A34005 2252 11 in in IN A34005 2252 12 the the DT A34005 2252 13 line line NN A34005 2252 14 of of IN A34005 2252 15 Tangents Tangents NNP A34005 2252 16 in in IN A34005 2252 17 the the DT A34005 2252 18 limb limb NN A34005 2252 19 , , , A34005 2252 20 and and CC A34005 2252 21 from from IN A34005 2252 22 the the DT A34005 2252 23 complement complement NN A34005 2252 24 of of IN A34005 2252 25 the the DT A34005 2252 26 Altitude Altitude NNP A34005 2252 27 in in IN A34005 2252 28 the the DT A34005 2252 29 Sines Sines NNPS A34005 2252 30 take take VBP A34005 2252 31 the the DT A34005 2252 32 nearest near JJS A34005 2252 33 distance distance NN A34005 2252 34 to to IN A34005 2252 35 it -PRON- PRP A34005 2252 36 , , , A34005 2252 37 I -PRON- PRP A34005 2252 38 say say VBP A34005 2252 39 that that DT A34005 2252 40 extent extent NN A34005 2252 41 shall shall MD A34005 2252 42 be be VB A34005 2252 43 cosine cosine NN A34005 2252 44 of of IN A34005 2252 45 the the DT A34005 2252 46 Altitude Altitude NNP A34005 2252 47 to to IN A34005 2252 48 the the DT A34005 2252 49 lesser less JJR A34005 2252 50 Radius radius NN A34005 2252 51 which which WDT A34005 2252 52 measure measure NN A34005 2252 53 from from IN A34005 2252 54 the the DT A34005 2252 55 Center Center NNP A34005 2252 56 , , , A34005 2252 57 and and CC A34005 2252 58 it -PRON- PRP A34005 2252 59 finds find VBZ A34005 2252 60 the the DT A34005 2252 61 Point point NN A34005 2252 62 of of IN A34005 2252 63 entrance entrance NN A34005 2252 64 whereon whereon NN A34005 2252 65 enter enter VB A34005 2252 66 the the DT A34005 2252 67 former former JJ A34005 2252 68 Sum Sum NNP A34005 2252 69 or or CC A34005 2252 70 difference difference NN A34005 2252 71 of of IN A34005 2252 72 sines sine NNS A34005 2252 73 as as IN A34005 2252 74 before before RB A34005 2252 75 directed direct VBN A34005 2252 76 , , , A34005 2252 77 and and CC A34005 2252 78 you -PRON- PRP A34005 2252 79 will will MD A34005 2252 80 find find VB A34005 2252 81 the the DT A34005 2252 82 Azimuth Azimuth NNP A34005 2252 83 in in IN A34005 2252 84 the the DT A34005 2252 85 equal equal JJ A34005 2252 86 limb limb NN A34005 2252 87 . . . A34005 2253 1 Or or CC A34005 2253 2 if if IN A34005 2253 3 you -PRON- PRP A34005 2253 4 would would MD A34005 2253 5 find find VB A34005 2253 6 the the DT A34005 2253 7 answer answer NN A34005 2253 8 in in IN A34005 2253 9 the the DT A34005 2253 10 sines sine NNS A34005 2253 11 , , , A34005 2253 12 enter enter VB A34005 2253 13 the the DT A34005 2253 14 first first JJ A34005 2253 15 extent extent NN A34005 2253 16 at at IN A34005 2253 17 90 90 CD A34005 2253 18 d. d. NN A34005 2253 19 laying lay VBG A34005 2253 20 the the DT A34005 2253 21 thread thread NN A34005 2253 22 to to IN A34005 2253 23 the the DT A34005 2253 24 other other JJ A34005 2253 25 foot foot NN A34005 2253 26 , , , A34005 2253 27 then then RB A34005 2253 28 enter enter VB A34005 2253 29 the the DT A34005 2253 30 Sum Sum NNP A34005 2253 31 or or CC A34005 2253 32 difference difference NN A34005 2253 33 of of IN A34005 2253 34 the the DT A34005 2253 35 Sines Sines NNPS A34005 2253 36 of of IN A34005 2253 37 the the DT A34005 2253 38 vertical vertical JJ A34005 2253 39 and and CC A34005 2253 40 given give VBN A34005 2253 41 Altitude altitude NN A34005 2253 42 , , , A34005 2253 43 so so CC A34005 2253 44 between between IN A34005 2253 45 the the DT A34005 2253 46 scale scale NN A34005 2253 47 and and CC A34005 2253 48 the the DT A34005 2253 49 thread thread NN A34005 2253 50 , , , A34005 2253 51 that that IN A34005 2253 52 one one CD A34005 2253 53 foot foot NN A34005 2253 54 turned turn VBD A34005 2253 55 about about IN A34005 2253 56 may may NNP A34005 2253 57 but but CC A34005 2253 58 just just RB A34005 2253 59 touch touch VB A34005 2253 60 the the DT A34005 2253 61 thread thread NN A34005 2253 62 , , , A34005 2253 63 the the DT A34005 2253 64 other other JJ A34005 2253 65 resting resting NN A34005 2253 66 on on IN A34005 2253 67 the the DT A34005 2253 68 sines sine NNS A34005 2253 69 , , , A34005 2253 70 and and CC A34005 2253 71 you -PRON- PRP A34005 2253 72 will will MD A34005 2253 73 find find VB A34005 2253 74 the the DT A34005 2253 75 sine sine NN A34005 2253 76 of of IN A34005 2253 77 the the DT A34005 2253 78 Azimuth Azimuth NNP A34005 2253 79 sought seek VBN A34005 2253 80 . . . A34005 2254 1 Example example NN A34005 2254 2 . . . A34005 2255 1 For for IN A34005 2255 2 the the DT A34005 2255 3 Latitude Latitude NNP A34005 2255 4 of of IN A34005 2255 5 Edinburg Edinburg NNP A34005 2255 6 55 55 CD A34005 2255 7 d. d. NN A34005 2255 8 56 56 CD A34005 2255 9 m. m. NN A34005 2255 10 If if IN A34005 2255 11 the the DT A34005 2255 12 Sun Sun NNP A34005 2255 13 have have VBP A34005 2255 14 15 15 CD A34005 2255 15 d. d. NN A34005 2255 16 of of IN A34005 2255 17 Declination Declination NNP A34005 2255 18 , , , A34005 2255 19 his -PRON- PRP$ A34005 2255 20 vertical vertical JJ A34005 2255 21 Altitude altitude NN A34005 2255 22 or or CC A34005 2255 23 depression depression NN A34005 2255 24 is be VBZ A34005 2255 25 18 18 CD A34005 2255 26 d. d. NN A34005 2255 27 14 14 CD A34005 2255 28 m. m. NN A34005 2255 29 the the DT A34005 2255 30 Declination Declination NNP A34005 2255 31 being be VBG A34005 2255 32 North North NNP A34005 2255 33 , , , A34005 2255 34 if if IN A34005 2255 35 his -PRON- PRP$ A34005 2255 36 proposed propose VBN A34005 2255 37 Altitude altitude NN A34005 2255 38 were be VBD A34005 2255 39 35 35 CD A34005 2255 40 d. d. NN A34005 2255 41 the the DT A34005 2255 42 Azimuth Azimuth NNP A34005 2255 43 of of IN A34005 2255 44 the the DT A34005 2255 45 Sun Sun NNP A34005 2255 46 would would MD A34005 2255 47 be be VB A34005 2255 48 28 28 CD A34005 2255 49 d. d. NN A34005 2255 50 to to IN A34005 2255 51 the the DT A34005 2255 52 South South NNP A34005 2255 53 - - HYPH A34005 2255 54 wards ward NNS A34005 2255 55 of of IN A34005 2255 56 the the DT A34005 2255 57 East East NNP A34005 2255 58 or or CC A34005 2255 59 West West NNP A34005 2255 60 . . . A34005 2256 1 But but CC A34005 2256 2 if if IN A34005 2256 3 the the DT A34005 2256 4 Declination declination NN A34005 2256 5 were be VBD A34005 2256 6 as as RB A34005 2256 7 much much JJ A34005 2256 8 South South NNP A34005 2256 9 , , , A34005 2256 10 and and CC A34005 2256 11 the the DT A34005 2256 12 Altitude Altitude NNP A34005 2256 13 10 10 CD A34005 2256 14 d. d. NN A34005 2256 15 the the DT A34005 2256 16 Azimuth Azimuth NNP A34005 2256 17 thereto thereto NN A34005 2256 18 would would MD A34005 2256 19 be be VB A34005 2256 20 46 46 CD A34005 2256 21 d. d. NN A34005 2256 22 58 58 CD A34005 2256 23 m. m. NN A34005 2256 24 to to IN A34005 2256 25 the the DT A34005 2256 26 South South NNP A34005 2256 27 - - HYPH A34005 2256 28 wards ward NNS A34005 2256 29 of of IN A34005 2256 30 the the DT A34005 2256 31 East East NNP A34005 2256 32 or or CC A34005 2256 33 West West NNP A34005 2256 34 . . . A34005 2257 1 The the DT A34005 2257 2 first first JJ A34005 2257 3 Operation operation NN A34005 2257 4 also also RB A34005 2257 5 works work VBZ A34005 2257 6 a a DT A34005 2257 7 Proportion proportion NN A34005 2257 8 to to IN A34005 2257 9 witt witt NN A34005 2257 10 . . . A34005 2258 1 As as IN A34005 2258 2 the the DT A34005 2258 3 Radius Radius NNP A34005 2258 4 Is be VBZ A34005 2258 5 to to IN A34005 2258 6 the the DT A34005 2258 7 cotangent cotangent NN A34005 2258 8 of of IN A34005 2258 9 the the DT A34005 2258 10 Latitude Latitude NNP A34005 2258 11 . . . A34005 2259 1 So so RB A34005 2259 2 is be VBZ A34005 2259 3 the the DT A34005 2259 4 cosine cosine NN A34005 2259 5 of of IN A34005 2259 6 the the DT A34005 2259 7 Altitude altitude NN A34005 2259 8 , , , A34005 2259 9 To to IN A34005 2259 10 a a DT A34005 2259 11 fourth fourth JJ A34005 2259 12 sine sine NN A34005 2259 13 . . . A34005 2260 1 I -PRON- PRP A34005 2260 2 say say VBP A34005 2260 3 this this DT A34005 2260 4 4th 4th JJ A34005 2260 5 sine sine NN A34005 2260 6 beares bear VBZ A34005 2260 7 such such JJ A34005 2260 8 Proportion proportion NN A34005 2260 9 to to IN A34005 2260 10 the the DT A34005 2260 11 Radius Radius NNP A34005 2260 12 as as IN A34005 2260 13 the the DT A34005 2260 14 cosine cosine NN A34005 2260 15 of of IN A34005 2260 16 the the DT A34005 2260 17 Altitude altitude NN A34005 2260 18 doth doth NN A34005 2260 19 to to IN A34005 2260 20 the the DT A34005 2260 21 tangent tangent NN A34005 2260 22 of of IN A34005 2260 23 the the DT A34005 2260 24 Latitude Latitude NNP A34005 2260 25 , , , A34005 2260 26 for for IN A34005 2260 27 the the DT A34005 2260 28 4th 4th JJ A34005 2260 29 term term NN A34005 2260 30 of of IN A34005 2260 31 every every DT A34005 2260 32 direct direct JJ A34005 2260 33 Proportion proportion NN A34005 2260 34 beares bear VBZ A34005 2260 35 such such JJ A34005 2260 36 Proportion proportion NN A34005 2260 37 to to IN A34005 2260 38 the the DT A34005 2260 39 first first JJ A34005 2260 40 terms term NNS A34005 2260 41 thereof thereof RB A34005 2260 42 , , , A34005 2260 43 as as IN A34005 2260 44 the the DT A34005 2260 45 Rectangle Rectangle NNP A34005 2260 46 of of IN A34005 2260 47 the the DT A34005 2260 48 two two CD A34005 2260 49 middle middle JJ A34005 2260 50 terms term NNS A34005 2260 51 doth doth JJ A34005 2260 52 to to IN A34005 2260 53 the the DT A34005 2260 54 square square NN A34005 2260 55 of of IN A34005 2260 56 the the DT A34005 2260 57 first first JJ A34005 2260 58 term term NN A34005 2260 59 . . . A34005 2261 1 But but CC A34005 2261 2 as as IN A34005 2261 3 the the DT A34005 2261 4 rectangle rectangle NN A34005 2261 5 of of IN A34005 2261 6 the the DT A34005 2261 7 co co JJ A34005 2261 8 - - NN A34005 2261 9 tangent tangent NN A34005 2261 10 of of IN A34005 2261 11 the the DT A34005 2261 12 Latitude Latitude NNP A34005 2261 13 and and CC A34005 2261 14 of of IN A34005 2261 15 the the DT A34005 2261 16 cosine cosine NN A34005 2261 17 of of IN A34005 2261 18 the the DT A34005 2261 19 Altitude Altitude NNP A34005 2261 20 is be VBZ A34005 2261 21 to to IN A34005 2261 22 the the DT A34005 2261 23 square square NN A34005 2261 24 of of IN A34005 2261 25 the the DT A34005 2261 26 Radius Radius NNP A34005 2261 27 , , , A34005 2261 28 So so RB A34005 2261 29 is be VBZ A34005 2261 30 the the DT A34005 2261 31 cosine cosine NN A34005 2261 32 of of IN A34005 2261 33 the the DT A34005 2261 34 Altitude Altitude NNP A34005 2261 35 is be VBZ A34005 2261 36 to to IN A34005 2261 37 the the DT A34005 2261 38 tangent tangent NN A34005 2261 39 of of IN A34005 2261 40 the the DT A34005 2261 41 Latitude Latitude NNP A34005 2261 42 , , , A34005 2261 43 or or CC A34005 2261 44 which which WDT A34005 2261 45 is be VBZ A34005 2261 46 all all DT A34005 2261 47 one one CD A34005 2261 48 , , , A34005 2261 49 So so RB A34005 2261 50 is be VBZ A34005 2261 51 the the DT A34005 2261 52 co co JJ A34005 2261 53 - - NN A34005 2261 54 tangent tangent NN A34005 2261 55 of of IN A34005 2261 56 the the DT A34005 2261 57 Latitude Latitude NNP A34005 2261 58 , , , A34005 2261 59 To to IN A34005 2261 60 the the DT A34005 2261 61 secant secant NN A34005 2261 62 of of IN A34005 2261 63 the the DT A34005 2261 64 Altitude Altitude NNP A34005 2261 65 , , , A34005 2261 66 as as IN A34005 2261 67 may may MD A34005 2261 68 be be VB A34005 2261 69 found find VBN A34005 2261 70 by by IN A34005 2261 71 a a DT A34005 2261 72 common common JJ A34005 2261 73 division division NN A34005 2261 74 of of IN A34005 2261 75 the the DT A34005 2261 76 rectangle rectangle NNP A34005 2261 77 , , , A34005 2261 78 and and CC A34005 2261 79 square square NN A34005 2261 80 of of IN A34005 2261 81 the the DT A34005 2261 82 Radius Radius NNP A34005 2261 83 by by IN A34005 2261 84 either either DT A34005 2261 85 of of IN A34005 2261 86 the the DT A34005 2261 87 terms term NNS A34005 2261 88 of of IN A34005 2261 89 the the DT A34005 2261 90 said say VBN A34005 2261 91 rectangle rectangle NNP A34005 2261 92 , , , A34005 2261 93 by by IN A34005 2261 94 help help NN A34005 2261 95 of of IN A34005 2261 96 which which WDT A34005 2261 97 notion notion NN A34005 2261 98 I -PRON- PRP A34005 2261 99 first first RB A34005 2261 100 found find VBD A34005 2261 101 out out RP A34005 2261 102 the the DT A34005 2261 103 particular particular JJ A34005 2261 104 scales scale NNS A34005 2261 105 upon upon IN A34005 2261 106 this this DT A34005 2261 107 quadrant quadrant NN A34005 2261 108 . . . A34005 2262 1 All all DT A34005 2262 2 Proportions Proportions NNPS A34005 2262 3 in in IN A34005 2262 4 sines sine NNS A34005 2262 5 and and CC A34005 2262 6 Tangents Tangents NNP A34005 2262 7 may may MD A34005 2262 8 be be VB A34005 2262 9 resolved resolve VBN A34005 2262 10 by by IN A34005 2262 11 the the DT A34005 2262 12 sine sine NN A34005 2262 13 of of IN A34005 2262 14 90 90 CD A34005 2262 15 d. d. NN A34005 2262 16 and and CC A34005 2262 17 the the DT A34005 2262 18 Tangent Tangent NNP A34005 2262 19 of of IN A34005 2262 20 45 45 CD A34005 2262 21 d. d. NN A34005 2262 22 on on IN A34005 2262 23 this this DT A34005 2262 24 quadrant quadrant NN A34005 2262 25 if if IN A34005 2262 26 what what WP A34005 2262 27 hath hath NN A34005 2262 28 been be VBN A34005 2262 29 now now RB A34005 2262 30 wrote write VBN A34005 2262 31 , , , A34005 2262 32 and and CC A34005 2262 33 the the DT A34005 2262 34 varying varying NN A34005 2262 35 of of IN A34005 2262 36 Proportions proportion NNS A34005 2262 37 be be VB A34005 2262 38 understood understand VBN A34005 2262 39 , , , A34005 2262 40 as as IN A34005 2262 41 in in IN A34005 2262 42 page page NN A34005 2262 43 72 72 CD A34005 2262 44 to to TO A34005 2262 45 74 74 CD A34005 2262 46 it -PRON- PRP A34005 2262 47 is be VBZ A34005 2262 48 delivered deliver VBN A34005 2262 49 . . . A34005 2263 1 Because because IN A34005 2263 2 the the DT A34005 2263 3 Projection Projection NNP A34005 2263 4 is be VBZ A34005 2263 5 not not RB A34005 2263 6 fitted fit VBN A34005 2263 7 for for IN A34005 2263 8 finding find VBG A34005 2263 9 the the DT A34005 2263 10 Azimuth Azimuth NNP A34005 2263 11 there there EX A34005 2263 12 are be VBP A34005 2263 13 added add VBN A34005 2263 14 two two CD A34005 2263 15 particular particular JJ A34005 2263 16 scales scale NNS A34005 2263 17 to to IN A34005 2263 18 this this DT A34005 2263 19 quadrant quadrant NN A34005 2263 20 , , , A34005 2263 21 namely namely RB A34005 2263 22 , , , A34005 2263 23 the the DT A34005 2263 24 particular particular JJ A34005 2263 25 sine sine NN A34005 2263 26 in in IN A34005 2263 27 the the DT A34005 2263 28 limb limb NN A34005 2263 29 , , , A34005 2263 30 and and CC A34005 2263 31 the the DT A34005 2263 32 scale scale NN A34005 2263 33 of of IN A34005 2263 34 entrance entrance NN A34005 2263 35 abutting abut VBG A34005 2263 36 on on IN A34005 2263 37 the the DT A34005 2263 38 sines sine NNS A34005 2263 39 fitted fit VBN A34005 2263 40 for for IN A34005 2263 41 the the DT A34005 2263 42 Latitude Latitude NNP A34005 2263 43 of of IN A34005 2263 44 London London NNP A34005 2263 45 . . . A34005 2264 1 Lay lay VB A34005 2264 2 the the DT A34005 2264 3 thread thread NN A34005 2264 4 to to IN A34005 2264 5 the the DT A34005 2264 6 day day NN A34005 2264 7 of of IN A34005 2264 8 the the DT A34005 2264 9 moneth moneth NN A34005 2264 10 , , , A34005 2264 11 and and CC A34005 2264 12 it -PRON- PRP A34005 2264 13 shewes shew VBZ A34005 2264 14 the the DT A34005 2264 15 Suns Suns NNPS A34005 2264 16 Declination Declination NNP A34005 2264 17 in in IN A34005 2264 18 the the DT A34005 2264 19 scales scale NNS A34005 2264 20 proper proper JJ A34005 2264 21 thereto thereto NN A34005 2264 22 . . . A34005 2265 1 Then then RB A34005 2265 2 count count VB A34005 2265 3 the the DT A34005 2265 4 Declination declination NN A34005 2265 5 in in IN A34005 2265 6 the the DT A34005 2265 7 Limbe Limbe NNP A34005 2265 8 laying lay VBG A34005 2265 9 the the DT A34005 2265 10 thread thread NN A34005 2265 11 thereto thereto NN A34005 2265 12 , , , A34005 2265 13 and and CC A34005 2265 14 in in IN A34005 2265 15 the the DT A34005 2265 16 particular particular JJ A34005 2265 17 sine sine NN A34005 2265 18 , , , A34005 2265 19 it -PRON- PRP A34005 2265 20 shewes shew VBZ A34005 2265 21 the the DT A34005 2265 22 Suns Suns NNPS A34005 2265 23 Altitude Altitude NNP A34005 2265 24 or or CC A34005 2265 25 Depression depression NN A34005 2265 26 being be VBG A34005 2265 27 East East NNP A34005 2265 28 or or CC A34005 2265 29 West West NNP A34005 2265 30 . . . A34005 2266 1 To to TO A34005 2266 2 find find VB A34005 2266 3 the the DT A34005 2266 4 Suns Suns NNPS A34005 2266 5 Azimuth Azimuth NNP A34005 2266 6 . . . A34005 2267 1 FOr for IN A34005 2267 2 North North NNP A34005 2267 3 Declinations declination NNS A34005 2267 4 take take VBP A34005 2267 5 the the DT A34005 2267 6 distance distance NN A34005 2267 7 between between IN A34005 2267 8 the the DT A34005 2267 9 sines sine NNS A34005 2267 10 of of IN A34005 2267 11 the the DT A34005 2267 12 vertical vertical JJ A34005 2267 13 Altitude altitude NN A34005 2267 14 and and CC A34005 2267 15 given give VBN A34005 2267 16 Altitude altitude NN A34005 2267 17 , , , A34005 2267 18 but but CC A34005 2267 19 for for IN A34005 2267 20 South South NNP A34005 2267 21 Declinations Declinations NNPS A34005 2267 22 adde adde JJ A34005 2267 23 with with IN A34005 2267 24 your -PRON- PRP$ A34005 2267 25 compass compass NN A34005 2267 26 the the DT A34005 2267 27 sine sine NN A34005 2267 28 of of IN A34005 2267 29 the the DT A34005 2267 30 given give VBN A34005 2267 31 Altitude altitude NN A34005 2267 32 to to IN A34005 2267 33 the the DT A34005 2267 34 sine sine NN A34005 2267 35 of of IN A34005 2267 36 the the DT A34005 2267 37 vertical vertical JJ A34005 2267 38 Altitude altitude NN A34005 2267 39 , , , A34005 2267 40 enter enter VB A34005 2267 41 the the DT A34005 2267 42 extent extent NN A34005 2267 43 thus thus RB A34005 2267 44 found find VBN A34005 2267 45 , , , A34005 2267 46 at at IN A34005 2267 47 the the DT A34005 2267 48 Altitude altitude NN A34005 2267 49 in in IN A34005 2267 50 the the DT A34005 2267 51 scale scale NN A34005 2267 52 of of IN A34005 2267 53 entrance entrance NN A34005 2267 54 laying lay VBG A34005 2267 55 the the DT A34005 2267 56 thread thread NN A34005 2267 57 to to IN A34005 2267 58 the the DT A34005 2267 59 other other JJ A34005 2267 60 foot foot NN A34005 2267 61 according accord VBG A34005 2267 62 to to IN A34005 2267 63 nearest near JJS A34005 2267 64 distance distance NN A34005 2267 65 , , , A34005 2267 66 and and CC A34005 2267 67 in in IN A34005 2267 68 the the DT A34005 2267 69 equal equal JJ A34005 2267 70 limb limb NN A34005 2267 71 it -PRON- PRP A34005 2267 72 shewes shew VBZ A34005 2267 73 the the DT A34005 2267 74 Azimuth Azimuth NNP A34005 2267 75 sought seek VBN A34005 2267 76 from from IN A34005 2267 77 the the DT A34005 2267 78 East East NNP A34005 2267 79 or or CC A34005 2267 80 West West NNP A34005 2267 81 , , , A34005 2267 82 or or CC A34005 2267 83 it -PRON- PRP A34005 2267 84 may may MD A34005 2267 85 be be VB A34005 2267 86 found find VBN A34005 2267 87 in in IN A34005 2267 88 the the DT A34005 2267 89 sines sine NNS A34005 2267 90 by by IN A34005 2267 91 laying lay VBG A34005 2267 92 the the DT A34005 2267 93 thread thread NN A34005 2267 94 to to IN A34005 2267 95 that that DT A34005 2267 96 arch arch NN A34005 2267 97 in in IN A34005 2267 98 the the DT A34005 2267 99 limb limb NN A34005 2267 100 that that WDT A34005 2267 101 the the DT A34005 2267 102 Altitude altitude NN A34005 2267 103 in in IN A34005 2267 104 the the DT A34005 2267 105 scale scale NN A34005 2267 106 of of IN A34005 2267 107 entrance entrance NN A34005 2267 108 stands stand VBZ A34005 2267 109 against against IN A34005 2267 110 in in IN A34005 2267 111 the the DT A34005 2267 112 sines sine NNS A34005 2267 113 , , , A34005 2267 114 and and CC A34005 2267 115 entring entre VBG A34005 2267 116 the the DT A34005 2267 117 former former JJ A34005 2267 118 extent extent NN A34005 2267 119 paralelly paralelly RB A34005 2267 120 between between IN A34005 2267 121 the the DT A34005 2267 122 thread thread NN A34005 2267 123 and and CC A34005 2267 124 the the DT A34005 2267 125 sines sine NNS A34005 2267 126 . . . A34005 2268 1 Example example NN A34005 2268 2 . . . A34005 2269 1 So so RB A34005 2269 2 when when WRB A34005 2269 3 the the DT A34005 2269 4 Sun Sun NNP A34005 2269 5 hath hath NNP A34005 2269 6 13 13 CD A34005 2269 7 d. d. NN A34005 2269 8 of of IN A34005 2269 9 Declination declination NN A34005 2269 10 his -PRON- PRP$ A34005 2269 11 vertical vertical JJ A34005 2269 12 Altitude altitude NN A34005 2269 13 or or CC A34005 2269 14 Depression Depression NNP A34005 2269 15 is be VBZ A34005 2269 16 16 16 CD A34005 2269 17 d. d. NN A34005 2269 18 42 42 CD A34005 2269 19 m. m. NN A34005 2269 20 If if IN A34005 2269 21 the the DT A34005 2269 22 Declination Declination NNP A34005 2269 23 were be VBD A34005 2269 24 North North NNP A34005 2269 25 and and CC A34005 2269 26 his -PRON- PRP$ A34005 2269 27 Altitude altitude NN A34005 2269 28 8 8 CD A34005 2269 29 d. d. NN A34005 2269 30 41 41 CD A34005 2269 31 m. m. NN A34005 2269 32 his -PRON- PRP$ A34005 2269 33 Azimuth Azimuth NNP A34005 2269 34 would would MD A34005 2269 35 be be VB A34005 2269 36 10 10 CD A34005 2269 37 d. d. NN A34005 2269 38 to to IN A34005 2269 39 the the DT A34005 2269 40 North North NNP A34005 2269 41 - - HYPH A34005 2269 42 wards ward NNS A34005 2269 43 of of IN A34005 2269 44 the the DT A34005 2269 45 East East NNP A34005 2269 46 or or CC A34005 2269 47 West West NNP A34005 2269 48 . . . A34005 2270 1 But but CC A34005 2270 2 if if IN A34005 2270 3 it -PRON- PRP A34005 2270 4 were be VBD A34005 2270 5 South South NNP A34005 2270 6 and and CC A34005 2270 7 his -PRON- PRP$ A34005 2270 8 Altitude altitude NN A34005 2270 9 12 12 CD A34005 2270 10 d. d. NN A34005 2270 11 13 13 CD A34005 2270 12 m. m. NN A34005 2270 13 the the DT A34005 2270 14 Azimuth Azimuth NNP A34005 2270 15 would would MD A34005 2270 16 be be VB A34005 2270 17 40d 40d NNS A34005 2270 18 to to IN A34005 2270 19 the the DT A34005 2270 20 South South NNP A34005 2270 21 - - HYPH A34005 2270 22 wards ward NNS A34005 2270 23 of of IN A34005 2270 24 the the DT A34005 2270 25 East East NNP A34005 2270 26 or or CC A34005 2270 27 West West NNP A34005 2270 28 . . . A34005 2271 1 By by IN A34005 2271 2 the the DT A34005 2271 3 same same JJ A34005 2271 4 particular particular JJ A34005 2271 5 scales scale VBZ A34005 2271 6 the the DT A34005 2271 7 hour hour NN A34005 2271 8 may may MD A34005 2271 9 be be VB A34005 2271 10 also also RB A34005 2271 11 found find VBN A34005 2271 12 . . . A34005 2272 1 To to TO A34005 2272 2 find find VB A34005 2272 3 the the DT A34005 2272 4 time time NN A34005 2272 5 of of IN A34005 2272 6 Sun Sun NNP A34005 2272 7 rising rise VBG A34005 2272 8 or or CC A34005 2272 9 setting set VBG A34005 2272 10 . . . A34005 2273 1 TAke take VB A34005 2273 2 the the DT A34005 2273 3 sine sine NN A34005 2273 4 of of IN A34005 2273 5 the the DT A34005 2273 6 Declination Declination NNP A34005 2273 7 , , , A34005 2273 8 and and CC A34005 2273 9 enter enter VB A34005 2273 10 it -PRON- PRP A34005 2273 11 at at IN A34005 2273 12 the the DT A34005 2273 13 Declination declination NN A34005 2273 14 in in IN A34005 2273 15 the the DT A34005 2273 16 Scale scale NN A34005 2273 17 of of IN A34005 2273 18 entrance entrance NN A34005 2273 19 and and CC A34005 2273 20 it -PRON- PRP A34005 2273 21 shewes shew VBD A34005 2273 22 the the DT A34005 2273 23 time time NN A34005 2273 24 sought seek VBN A34005 2273 25 in in IN A34005 2273 26 the the DT A34005 2273 27 equal equal JJ A34005 2273 28 lim lim NN A34005 2273 29 ● ● . A34005 2273 30 e e NN A34005 2273 31 from from IN A34005 2273 32 six six CD A34005 2273 33 . . . A34005 2274 1 Example example NN A34005 2274 2 . . . A34005 2275 1 When when WRB A34005 2275 2 the the DT A34005 2275 3 hath hath NNP A34005 2275 4 10 10 CD A34005 2275 5 d. d. NN A34005 2275 6 of of IN A34005 2275 7 Declination declination NN A34005 2275 8 the the DT A34005 2275 9 Ascensional ascensional JJ A34005 2275 10 difference difference NN A34005 2275 11 is be VBZ A34005 2275 12 49 49 CD A34005 2275 13 m. m. NN A34005 2275 14 which which WDT A34005 2275 15 added add VBD A34005 2275 16 to to IN A34005 2275 17 , , , A34005 2275 18 or or CC A34005 2275 19 substracted substracte VBN A34005 2275 20 from from IN A34005 2275 21 six six CD A34005 2275 22 shewes shew VBD A34005 2275 23 the the DT A34005 2275 24 time time NN A34005 2275 25 of of IN A34005 2275 26 rising rise VBG A34005 2275 27 and and CC A34005 2275 28 setting set VBG A34005 2275 29 . . . A34005 2276 1 To to TO A34005 2276 2 find find VB A34005 2276 3 the the DT A34005 2276 4 hour hour NN A34005 2276 5 of of IN A34005 2276 6 the the DT A34005 2276 7 day day NN A34005 2276 8 for for IN A34005 2276 9 South South NNP A34005 2276 10 Declination Declination NNP A34005 2276 11 . . . A34005 2277 1 IN in IN A34005 2277 2 taking take VBG A34005 2277 3 the the DT A34005 2277 4 Altitude altitude NN A34005 2277 5 , , , A34005 2277 6 mind mind VB A34005 2277 7 what what WP A34005 2277 8 Ark Ark NNP A34005 2277 9 in in IN A34005 2277 10 the the DT A34005 2277 11 particular particular JJ A34005 2277 12 Sine Sine NNP A34005 2277 13 the the DT A34005 2277 14 thread thread NN A34005 2277 15 cut cut NN A34005 2277 16 , , , A34005 2277 17 adde adde VB A34005 2277 18 the the DT A34005 2277 19 Sine Sine NNP A34005 2277 20 of of IN A34005 2277 21 that that DT A34005 2277 22 Ark Ark NNP A34005 2277 23 to to IN A34005 2277 24 the the DT A34005 2277 25 Sine Sine NNP A34005 2277 26 of of IN A34005 2277 27 the the DT A34005 2277 28 Declination declination NN A34005 2277 29 , , , A34005 2277 30 and and CC A34005 2277 31 enter enter VB A34005 2277 32 that that DT A34005 2277 33 extent extent NN A34005 2277 34 at at IN A34005 2277 35 the the DT A34005 2277 36 Declination declination NN A34005 2277 37 in in IN A34005 2277 38 the the DT A34005 2277 39 Scale scale NN A34005 2277 40 of of IN A34005 2277 41 entrance entrance NN A34005 2277 42 laying lay VBG A34005 2277 43 the the DT A34005 2277 44 thread thread NN A34005 2277 45 to to IN A34005 2277 46 the the DT A34005 2277 47 other other JJ A34005 2277 48 foot foot NN A34005 2277 49 according accord VBG A34005 2277 50 to to IN A34005 2277 51 nearest near JJS A34005 2277 52 distance distance NN A34005 2277 53 , , , A34005 2277 54 and and CC A34005 2277 55 in in IN A34005 2277 56 the the DT A34005 2277 57 equal equal JJ A34005 2277 58 limb limb NN A34005 2277 59 it -PRON- PRP A34005 2277 60 shewes shew VBD A34005 2277 61 the the DT A34005 2277 62 hour hour NN A34005 2277 63 from from IN A34005 2277 64 six six CD A34005 2277 65 . . . A34005 2278 1 So so CC A34005 2278 2 if if IN A34005 2278 3 the the DT A34005 2278 4 Declination Declination NNP A34005 2278 5 were be VBD A34005 2278 6 13 13 CD A34005 2278 7 d. d. NN A34005 2278 8 South South NNP A34005 2278 9 and and CC A34005 2278 10 the the DT A34005 2278 11 Suns Suns NNP A34005 2278 12 Altitude Altitude NNP A34005 2278 13 14 14 CD A34005 2278 14 d. d. NNP A34005 2278 15 38 38 CD A34005 2278 16 m. m. NN A34005 2278 17 the the DT A34005 2278 18 thread thread NN A34005 2278 19 in in IN A34005 2278 20 the the DT A34005 2278 21 particular particular JJ A34005 2278 22 Sine Sine NNP A34005 2278 23 would would MD A34005 2278 24 cut cut VB A34005 2278 25 18 18 CD A34005 2278 26 d. d. NN A34005 2278 27 49 49 CD A34005 2278 28 m. m. NN A34005 2278 29 and and CC A34005 2278 30 true true JJ A34005 2278 31 time time NN A34005 2278 32 of of IN A34005 2278 33 the the DT A34005 2278 34 day day NN A34005 2278 35 would would MD A34005 2278 36 be be VB A34005 2278 37 9 9 CD A34005 2278 38 in in IN A34005 2278 39 the the DT A34005 2278 40 morning morning NN A34005 2278 41 or or CC A34005 2278 42 3 3 CD A34005 2278 43 in in IN A34005 2278 44 the the DT A34005 2278 45 morning morning NN A34005 2278 46 . . . A34005 2279 1 To to TO A34005 2279 2 find find VB A34005 2279 3 the the DT A34005 2279 4 time time NN A34005 2279 5 of of IN A34005 2279 6 the the DT A34005 2279 7 day day NN A34005 2279 8 for for IN A34005 2279 9 North North NNP A34005 2279 10 Declination Declination NNP A34005 2279 11 . . . A34005 2280 1 HAving have VBG A34005 2280 2 observed observe VBN A34005 2280 3 what what WP A34005 2280 4 Ark Ark NNP A34005 2280 5 the the DT A34005 2280 6 thread thread NN A34005 2280 7 in in IN A34005 2280 8 taking take VBG A34005 2280 9 the the DT A34005 2280 10 Altitude altitude NN A34005 2280 11 hung hang VBD A34005 2280 12 over over RP A34005 2280 13 in in IN A34005 2280 14 the the DT A34005 2280 15 Particular Particular NNP A34005 2280 16 Sine Sine NNP A34005 2280 17 take take VB A34005 2280 18 the the DT A34005 2280 19 distance distance NN A34005 2280 20 between between IN A34005 2280 21 the the DT A34005 2280 22 Sine Sine NNP A34005 2280 23 of of IN A34005 2280 24 the the DT A34005 2280 25 said say VBN A34005 2280 26 Arke Arke NNP A34005 2280 27 , , , A34005 2280 28 and and CC A34005 2280 29 the the DT A34005 2280 30 Sine Sine NNP A34005 2280 31 of of IN A34005 2280 32 the the DT A34005 2280 33 Declination Declination NNP A34005 2280 34 and and CC A34005 2280 35 entring entre VBG A34005 2280 36 that that DT A34005 2280 37 extent extent NN A34005 2280 38 at at IN A34005 2280 39 the the DT A34005 2280 40 Declination declination NN A34005 2280 41 in in IN A34005 2280 42 the the DT A34005 2280 43 Scale scale NN A34005 2280 44 of of IN A34005 2280 45 entrance entrance NN A34005 2280 46 the the DT A34005 2280 47 thread thread NN A34005 2280 48 in in IN A34005 2280 49 the the DT A34005 2280 50 limbe limbe NN A34005 2280 51 shewes shew VBD A34005 2280 52 the the DT A34005 2280 53 hour hour NN A34005 2280 54 from from IN A34005 2280 55 six six CD A34005 2280 56 . . . A34005 2281 1 Example example NN A34005 2281 2 . . . A34005 2282 1 If if IN A34005 2282 2 the the DT A34005 2282 3 Suns Suns NNPS A34005 2282 4 Declination Declination NNP A34005 2282 5 were be VBD A34005 2282 6 23 23 CD A34005 2282 7 d. d. NN A34005 2282 8 31 31 CD A34005 2282 9 m. m. NN A34005 2282 10 North North NNP A34005 2282 11 , , , A34005 2282 12 and and CC A34005 2282 13 his -PRON- PRP$ A34005 2282 14 Altitude altitude NN A34005 2282 15 39 39 CD A34005 2282 16 d. d. NN A34005 2282 17 the the DT A34005 2282 18 Arch Arch NNP A34005 2282 19 in in IN A34005 2282 20 the the DT A34005 2282 21 particular particular JJ A34005 2282 22 Sine Sine NNP A34005 2282 23 would would MD A34005 2282 24 be be VB A34005 2282 25 53 53 CD A34005 2282 26 d. d. NNP A34005 2282 27 32 32 CD A34005 2282 28 m. m. NN A34005 2282 29 and and CC A34005 2282 30 the the DT A34005 2282 31 time time NN A34005 2282 32 of of IN A34005 2282 33 the the DT A34005 2282 34 day day NN A34005 2282 35 would would MD A34005 2282 36 be be VB A34005 2282 37 about about RB A34005 2282 38 3 3 CD A34005 2282 39 quarters quarter NNS A34005 2282 40 past past IN A34005 2282 41 3 3 CD A34005 2282 42 in in IN A34005 2282 43 the the DT A34005 2282 44 afternoon afternoon NN A34005 2282 45 , , , A34005 2282 46 or or CC A34005 2282 47 a a DT A34005 2282 48 quarter quarter NN A34005 2282 49 past past IN A34005 2282 50 8 8 CD A34005 2282 51 in in IN A34005 2282 52 the the DT A34005 2282 53 morning morning NN A34005 2282 54 . . . A34005 2283 1 When when WRB A34005 2283 2 the the DT A34005 2283 3 Altitude altitude NN A34005 2283 4 is be VBZ A34005 2283 5 more more JJR A34005 2283 6 then then RB A34005 2283 7 the the DT A34005 2283 8 Latitude Latitude NNP A34005 2283 9 the the DT A34005 2283 10 thread thread NN A34005 2283 11 will will MD A34005 2283 12 hang hang VB A34005 2283 13 over over IN A34005 2283 14 a a DT A34005 2283 15 Secant secant NN A34005 2283 16 in in IN A34005 2283 17 the the DT A34005 2283 18 particular particular JJ A34005 2283 19 Scale scale NN A34005 2283 20 , , , A34005 2283 21 this this DT A34005 2283 22 happens happen VBZ A34005 2283 23 not not RB A34005 2283 24 till till IN A34005 2283 25 the the DT A34005 2283 26 Sun Sun NNP A34005 2283 27 have have VBP A34005 2283 28 more more JJR A34005 2283 29 then then RB A34005 2283 30 13 13 CD A34005 2283 31 d. d. NN A34005 2283 32 of of IN A34005 2283 33 North North NNP A34005 2283 34 Declination Declination NNP A34005 2283 35 , , , A34005 2283 36 in in IN A34005 2283 37 this this DT A34005 2283 38 case case NN A34005 2283 39 take take VB A34005 2283 40 the the DT A34005 2283 41 distance distance NN A34005 2283 42 between between IN A34005 2283 43 the the DT A34005 2283 44 Secant Secant NNP A34005 2283 45 before before IN A34005 2283 46 the the DT A34005 2283 47 beginning beginning NN A34005 2283 48 of of IN A34005 2283 49 the the DT A34005 2283 50 Scale scale NN A34005 2283 51 of of IN A34005 2283 52 entrance entrance NN A34005 2283 53 , , , A34005 2283 54 and and CC A34005 2283 55 the the DT A34005 2283 56 Sine Sine NNP A34005 2283 57 of of IN A34005 2283 58 the the DT A34005 2283 59 Declination declination NN A34005 2283 60 at at IN A34005 2283 61 the the DT A34005 2283 62 end end NN A34005 2283 63 of of IN A34005 2283 64 the the DT A34005 2283 65 same same JJ A34005 2283 66 and and CC A34005 2283 67 enter enter VB A34005 2283 68 it -PRON- PRP A34005 2283 69 as as IN A34005 2283 70 before before RB A34005 2283 71 . . . A34005 2284 1 Example example NN A34005 2284 2 . . . A34005 2285 1 The the DT A34005 2285 2 Suns Suns NNP A34005 2285 3 declination declination NN A34005 2285 4 being be VBG A34005 2285 5 23 23 CD A34005 2285 6 d. d. NN A34005 2285 7 31 31 CD A34005 2285 8 m. m. NN A34005 2285 9 North North NNP A34005 2285 10 if if IN A34005 2285 11 his -PRON- PRP$ A34005 2285 12 Altitude altitude NN A34005 2285 13 were be VBD A34005 2285 14 55 55 CD A34005 2285 15 d. d. NN A34005 2285 16 29 29 CD A34005 2285 17 m. m. NN A34005 2285 18 the the DT A34005 2285 19 thread thread NN A34005 2285 20 in in IN A34005 2285 21 the the DT A34005 2285 22 particular particular JJ A34005 2285 23 Scale Scale NNP A34005 2285 24 would would MD A34005 2285 25 hang hang VB A34005 2285 26 over over IN A34005 2285 27 the the DT A34005 2285 28 Secant Secant NNP A34005 2285 29 of of IN A34005 2285 30 18 18 CD A34005 2285 31 d. d. NN A34005 2285 32 11 11 CD A34005 2285 33 m. m. NN A34005 2285 34 and and CC A34005 2285 35 the the DT A34005 2285 36 true true JJ A34005 2285 37 time time NN A34005 2285 38 of of IN A34005 2285 39 the the DT A34005 2285 40 day day NN A34005 2285 41 would would MD A34005 2285 42 be be VB A34005 2285 43 a a DT A34005 2285 44 quarter quarter NN A34005 2285 45 past past IN A34005 2285 46 10 10 CD A34005 2285 47 in in IN A34005 2285 48 the the DT A34005 2285 49 morning morning NN A34005 2285 50 , , , A34005 2285 51 or or CC A34005 2285 52 3 3 CD A34005 2285 53 quarters quarter NNS A34005 2285 54 past past IN A34005 2285 55 1 1 CD A34005 2285 56 in in IN A34005 2285 57 the the DT A34005 2285 58 afternoon afternoon NN A34005 2285 59 . . . A34005 2286 1 The the DT A34005 2286 2 Proportions Proportions NNPS A34005 2286 3 here here RB A34005 2286 4 used use VBN A34005 2286 5 are be VBP A34005 2286 6 expressed express VBN A34005 2286 7 in in IN A34005 2286 8 Page Page NNP A34005 2286 9 193 193 CD A34005 2286 10 . . . A34005 2287 1 The the DT A34005 2287 2 Stars Stars NNP A34005 2287 3 hour hour NN A34005 2287 4 is be VBZ A34005 2287 5 to to TO A34005 2287 6 be be VB A34005 2287 7 found find VBN A34005 2287 8 by by IN A34005 2287 9 the the DT A34005 2287 10 projection projection NN A34005 2287 11 by by IN A34005 2287 12 rectifying rectify VBG A34005 2287 13 the the DT A34005 2287 14 Bead Bead NNP A34005 2287 15 to to IN A34005 2287 16 the the DT A34005 2287 17 Sar Sar NNP A34005 2287 18 and and CC A34005 2287 19 then then RB A34005 2287 20 proceed proceed VB A34005 2287 21 as as IN A34005 2287 22 in in IN A34005 2287 23 finding find VBG A34005 2287 24 the the DT A34005 2287 25 Suns Suns NNP A34005 2287 26 hour hour NN A34005 2287 27 , , , A34005 2287 28 afterwards afterwards RB A34005 2287 29 the the DT A34005 2287 30 ● ● XX A34005 2287 31 ue ue JJ A34005 2287 32 time time NN A34005 2287 33 of of IN A34005 2287 34 the the DT A34005 2287 35 night night NN A34005 2287 36 is be VBZ A34005 2287 37 to to TO A34005 2287 38 be be VB A34005 2287 39 found find VBN A34005 2287 40 as as IN A34005 2287 41 in in IN A34005 2287 42 page page NN A34005 2287 43 32 32 CD A34005 2287 44 . . . A34005 2288 1 ERRATA ERRATA NNP A34005 2288 2 . . . A34005 2289 1 In in IN A34005 2289 2 the the DT A34005 2289 3 Treatise Treatise NNP A34005 2289 4 of of IN A34005 2289 5 the the DT A34005 2289 6 Horizontal horizontal JJ A34005 2289 7 quadrant quadrant NN A34005 2289 8 , , , A34005 2289 9 pag pag NNP A34005 2289 10 . . . A34005 2290 1 43 43 CD A34005 2290 2 line line NN A34005 2290 3 6 6 CD A34005 2290 4 for for IN A34005 2290 5 the the DT A34005 2290 6 3 3 CD A34005 2290 7 January January NNP A34005 2290 8 read read VBD A34005 2290 9 the the DT A34005 2290 10 30th 30th NN A34005 2290 11 . . . A34005 2291 1 In in IN A34005 2291 2 the the DT A34005 2291 3 Reflex Reflex NNP A34005 2291 4 Dialling Dialling NNP A34005 2291 5 pag pag NN A34005 2291 6 . . . A34005 2292 1 5 5 CD A34005 2292 2 , , , A34005 2292 3 adde adde JJ A34005 2292 4 to to IN A34005 2292 5 the the DT A34005 2292 6 last last JJ A34005 2292 7 line line NN A34005 2292 8 these these DT A34005 2292 9 words word NNS A34005 2292 10 , , , A34005 2292 11 As as IN A34005 2292 12 Kircher Kircher NNP A34005 2292 13 sheweth sheweth NN A34005 2292 14 in in IN A34005 2292 15 his -PRON- PRP$ A34005 2292 16 Ars Ars NNP A34005 2292 17 Anaclastica Anaclastica NNP A34005 2292 18 . . . A34005 2293 1 FINIS FINIS NNP A34005 2293 2 . . . A34005 2294 1 THE the DT A34005 2294 2 DESCRIPTION description NN A34005 2294 3 AND and CC A34005 2294 4 USES use NNS A34005 2294 5 OF of IN A34005 2294 6 A a DT A34005 2294 7 GENERAL GENERAL NNP A34005 2294 8 QUADRANT quadrant NN A34005 2294 9 , , , A34005 2294 10 WITH with IN A34005 2294 11 THE the DT A34005 2294 12 HORIZONTAL HORIZONTAL NNP A34005 2294 13 PROJECTION PROJECTION NNP A34005 2294 14 , , , A34005 2294 15 UPON UPON NNP A34005 2294 16 IT IT NNP A34005 2294 17 INVERTED invert VBD A34005 2294 18 . . . A34005 2295 1 Written write VBN A34005 2295 2 and and CC A34005 2295 3 Published publish VBN A34005 2295 4 By by IN A34005 2295 5 JOHN JOHN NNP A34005 2295 6 COLLINS COLLINS NNP A34005 2295 7 Accountant Accountant NNP A34005 2295 8 , , , A34005 2295 9 and and CC A34005 2295 10 Student student NN A34005 2295 11 in in IN A34005 2295 12 the the DT A34005 2295 13 Mathematicks Mathematicks NNP A34005 2295 14 . . . A34005 2296 1 LONDON LONDON NNP A34005 2296 2 , , , A34005 2296 3 Printed Printed NNP A34005 2296 4 Anno Anno NNP A34005 2296 5 M. M. NNP A34005 2296 6 DC DC NNP A34005 2296 7 . . . A34005 2297 1 LVIII LVIII NNP A34005 2297 2 . . . A34005 2298 1 The the DT A34005 2298 2 Description description NN A34005 2298 3 OF of IN A34005 2298 4 THE the DT A34005 2298 5 HORIZONTAL horizontal NN A34005 2298 6 QUADRANT quadrant NN A34005 2298 7 . . . A34005 2299 1 THis this DT A34005 2299 2 Denomination denomination NN A34005 2299 3 is be VBZ A34005 2299 4 attributed attribute VBN A34005 2299 5 to to IN A34005 2299 6 it -PRON- PRP A34005 2299 7 because because IN A34005 2299 8 it -PRON- PRP A34005 2299 9 is be VBZ A34005 2299 10 derived derive VBN A34005 2299 11 from from IN A34005 2299 12 the the DT A34005 2299 13 Horizontal horizontal JJ A34005 2299 14 projection projection NN A34005 2299 15 inverted invert VBD A34005 2299 16 . . . A34005 2300 1 Of of IN A34005 2300 2 the the DT A34005 2300 3 Fore Fore NNP A34005 2300 4 - - HYPH A34005 2300 5 side side NN A34005 2300 6 . . . A34005 2301 1 On on IN A34005 2301 2 the the DT A34005 2301 3 right right JJ A34005 2301 4 edge edge NN A34005 2301 5 is be VBZ A34005 2301 6 a a DT A34005 2301 7 Line Line NNP A34005 2301 8 of of IN A34005 2301 9 natural natural JJ A34005 2301 10 Sines Sines NNPS A34005 2301 11 . . . A34005 2302 1 On on IN A34005 2302 2 the the DT A34005 2302 3 left left JJ A34005 2302 4 edge edge NN A34005 2302 5 a a DT A34005 2302 6 Line line NN A34005 2302 7 of of IN A34005 2302 8 Versed Versed NNP A34005 2302 9 - - HYPH A34005 2302 10 Sines Sines NNP A34005 2302 11 . . . A34005 2303 1 Both both DT A34005 2303 2 these these DT A34005 2303 3 Lines line NNS A34005 2303 4 issue issue VBP A34005 2303 5 from from IN A34005 2303 6 the the DT A34005 2303 7 Center Center NNP A34005 2303 8 where where WRB A34005 2303 9 they -PRON- PRP A34005 2303 10 concurre concurre VBD A34005 2303 11 and and CC A34005 2303 12 make make VB A34005 2303 13 a a DT A34005 2303 14 right right JJ A34005 2303 15 Angle angle NN A34005 2303 16 , , , A34005 2303 17 and and CC A34005 2303 18 between between IN A34005 2303 19 them -PRON- PRP A34005 2303 20 and and CC A34005 2303 21 the the DT A34005 2303 22 Circular Circular NNP A34005 2303 23 Lines Lines NNPS A34005 2303 24 in in IN A34005 2303 25 the the DT A34005 2303 26 Limb Limb NNP A34005 2303 27 is be VBZ A34005 2303 28 the the DT A34005 2303 29 Projection Projection NNP A34005 2303 30 included include VBN A34005 2303 31 , , , A34005 2303 32 which which WDT A34005 2303 33 consists consist VBZ A34005 2303 34 of of IN A34005 2303 35 divers diver NNS A34005 2303 36 portions portion NNS A34005 2303 37 and and CC A34005 2303 38 Arkes Arkes NNPS A34005 2303 39 of of IN A34005 2303 40 Circles Circles NNP A34005 2303 41 . . . A34005 2304 1 Of of IN A34005 2304 2 the the DT A34005 2304 3 Parallels Parallels NNPS A34005 2304 4 of of IN A34005 2304 5 Declination Declination NNP A34005 2304 6 . . . A34005 2305 1 THese these DT A34005 2305 2 are be VBP A34005 2305 3 portions portion NNS A34005 2305 4 of of IN A34005 2305 5 Circles Circles NNP A34005 2305 6 that that WDT A34005 2305 7 crosse crosse VBP A34005 2305 8 the the DT A34005 2305 9 quadrant quadrant NN A34005 2305 10 obliquely obliquely RB A34005 2305 11 from from IN A34005 2305 12 the the DT A34005 2305 13 left left JJ A34005 2305 14 edge edge NN A34005 2305 15 , , , A34005 2305 16 towards towards IN A34005 2305 17 the the DT A34005 2305 18 right right NN A34005 2305 19 . . . A34005 2306 1 To to TO A34005 2306 2 describe describe VB A34005 2306 3 them -PRON- PRP A34005 2306 4 . . . A34005 2307 1 OBserve observe VB A34005 2307 2 that that IN A34005 2307 3 the the DT A34005 2307 4 left left JJ A34005 2307 5 edge edge NN A34005 2307 6 of of IN A34005 2307 7 the the DT A34005 2307 8 quadrant quadrant NN A34005 2307 9 is be VBZ A34005 2307 10 called call VBN A34005 2307 11 the the DT A34005 2307 12 Meriridian Meriridian NNP A34005 2307 13 Line Line NNP A34005 2307 14 , , , A34005 2307 15 and and CC A34005 2307 16 that that IN A34005 2307 17 every every DT A34005 2307 18 Degree Degree NNP A34005 2307 19 or or CC A34005 2307 20 Parallel Parallel NNP A34005 2307 21 of of IN A34005 2307 22 the the DT A34005 2307 23 Suns Suns NNPS A34005 2307 24 Declination Declination NNP A34005 2307 25 if if IN A34005 2307 26 continued continue VBN A34005 2307 27 about about IN A34005 2307 28 would would MD A34005 2307 29 crosse crosse VB A34005 2307 30 the the DT A34005 2307 31 Meridian Meridian NNP A34005 2307 32 in in IN A34005 2307 33 two two CD A34005 2307 34 opposite opposite JJ A34005 2307 35 points point NNS A34005 2307 36 , , , A34005 2307 37 the the DT A34005 2307 38 one one NN A34005 2307 39 below below IN A34005 2307 40 the the DT A34005 2307 41 Center Center NNP A34005 2307 42 towards towards IN A34005 2307 43 the the DT A34005 2307 44 Limbe Limbe NNP A34005 2307 45 , , , A34005 2307 46 and and CC A34005 2307 47 the the DT A34005 2307 48 other other JJ A34005 2307 49 above above RB A34005 2307 50 , , , A34005 2307 51 and and CC A34005 2307 52 beyond beyond IN A34005 2307 53 the the DT A34005 2307 54 Center Center NNP A34005 2307 55 of of IN A34005 2307 56 the the DT A34005 2307 57 quadrant quadrant NN A34005 2307 58 , , , A34005 2307 59 the the DT A34005 2307 60 distance distance NN A34005 2307 61 between between IN A34005 2307 62 these these DT A34005 2307 63 two two CD A34005 2307 64 points point NNS A34005 2307 65 is be VBZ A34005 2307 66 the the DT A34005 2307 67 Diameter Diameter NNP A34005 2307 68 of of IN A34005 2307 69 the the DT A34005 2307 70 said say VBN A34005 2307 71 Parallel Parallel NNP A34005 2307 72 , , , A34005 2307 73 and and CC A34005 2307 74 the the DT A34005 2307 75 Semidiameters Semidiameters NNPS A34005 2307 76 would would MD A34005 2307 77 be be VB A34005 2307 78 the the DT A34005 2307 79 Center Center NNP A34005 2307 80 points point NNS A34005 2307 81 . . . A34005 2308 1 It -PRON- PRP A34005 2308 2 will will MD A34005 2308 3 be be VB A34005 2308 4 necessary necessary JJ A34005 2308 5 in in IN A34005 2308 6 the the DT A34005 2308 7 first first JJ A34005 2308 8 place place NN A34005 2308 9 , , , A34005 2308 10 to to TO A34005 2308 11 limit limit VB A34005 2308 12 the the DT A34005 2308 13 outwardmost outwardmost JJ A34005 2308 14 Parallel Parallel NNP A34005 2308 15 of of IN A34005 2308 16 Declination Declination NNP A34005 2308 17 , , , A34005 2308 18 which which WDT A34005 2308 19 may may MD A34005 2308 20 be be VB A34005 2308 21 done do VBN A34005 2308 22 in in IN A34005 2308 23 the the DT A34005 2308 24 Meridian Meridian NNP A34005 2308 25 Line Line NNP A34005 2308 26 at at IN A34005 2308 27 any any DT A34005 2308 28 point point NN A34005 2308 29 assumed assume VBN A34005 2308 30 . . . A34005 2309 1 The the DT A34005 2309 2 distance distance NN A34005 2309 3 of of IN A34005 2309 4 this this DT A34005 2309 5 assumed assumed JJ A34005 2309 6 point point NN A34005 2309 7 from from IN A34005 2309 8 the the DT A34005 2309 9 Center Center NNP A34005 2309 10 in in IN A34005 2309 11 any any DT A34005 2309 12 Latitude Latitude NNP A34005 2309 13 , , , A34005 2309 14 must must MD A34005 2309 15 represent represent VB A34005 2309 16 the the DT A34005 2309 17 Tangent Tangent NNP A34005 2309 18 of of IN A34005 2309 19 a a DT A34005 2309 20 compound compound NN A34005 2309 21 Arke Arke NNP A34005 2309 22 , , , A34005 2309 23 made make VBN A34005 2309 24 by by IN A34005 2309 25 adding add VBG A34005 2309 26 halfe halfe NN A34005 2309 27 the the DT A34005 2309 28 greatest great JJS A34005 2309 29 Meridian Meridian NNP A34005 2309 30 Altitude Altitude NNP A34005 2309 31 to to IN A34005 2309 32 45 45 CD A34005 2309 33 Deg deg NN A34005 2309 34 . . . A34005 2310 1 which which WDT A34005 2310 2 for for IN A34005 2310 3 London London NNP A34005 2310 4 must must MD A34005 2310 5 be be VB A34005 2310 6 the the DT A34005 2310 7 Tangent Tangent NNP A34005 2310 8 of of IN A34005 2310 9 76 76 CD A34005 2310 10 Degr Degr NNP A34005 2310 11 . . . A34005 2311 1 And and CC A34005 2311 2 to to IN A34005 2311 3 the the DT A34005 2311 4 Radius Radius NNP A34005 2311 5 of of IN A34005 2311 6 this this DT A34005 2311 7 Tangent Tangent NNP A34005 2311 8 must must MD A34005 2311 9 the the DT A34005 2311 10 following follow VBG A34005 2311 11 work work NN A34005 2311 12 be be VB A34005 2311 13 fitted fit VBN A34005 2311 14 . . . A34005 2312 1 In in IN A34005 2312 2 like like JJ A34005 2312 3 manner manner NN A34005 2312 4 , , , A34005 2312 5 the the DT A34005 2312 6 Semidiameters Semidiameters NNPS A34005 2312 7 of of IN A34005 2312 8 all all DT A34005 2312 9 other other JJ A34005 2312 10 Parallels parallel NNS A34005 2312 11 that that WDT A34005 2312 12 fall fall VBP A34005 2312 13 below below IN A34005 2312 14 the the DT A34005 2312 15 Center Center NNP A34005 2312 16 , , , A34005 2312 17 are be VBP A34005 2312 18 limited limit VBN A34005 2312 19 by by IN A34005 2312 20 pricking prick VBG A34005 2312 21 downe downe NNP A34005 2312 22 the the DT A34005 2312 23 Tangents Tangents NNP A34005 2312 24 of of IN A34005 2312 25 Arkes Arkes NNP A34005 2312 26 , , , A34005 2312 27 framed frame VBN A34005 2312 28 by by IN A34005 2312 29 adding add VBG A34005 2312 30 halfe halfe NN A34005 2312 31 the the DT A34005 2312 32 Meridian Meridian NNP A34005 2312 33 Altitude Altitude NNP A34005 2312 34 suitable suitable JJ A34005 2312 35 to to IN A34005 2312 36 each each DT A34005 2312 37 Declination declination NN A34005 2312 38 continually continually RB A34005 2312 39 to to IN A34005 2312 40 45 45 CD A34005 2312 41 Degr Degr NNP A34005 2312 42 . . . A34005 2313 1 Now now RB A34005 2313 2 to to TO A34005 2313 3 limit limit VB A34005 2313 4 the the DT A34005 2313 5 Semidiameters Semidiameters NNPS A34005 2313 6 above above IN A34005 2313 7 or or CC A34005 2313 8 beyond beyond IN A34005 2313 9 the the DT A34005 2313 10 Center Center NNP A34005 2313 11 onely onely RB A34005 2313 12 prick prick VBP A34005 2313 13 off off RP A34005 2313 14 the the DT A34005 2313 15 respective respective JJ A34005 2313 16 Tangents tangent NNS A34005 2313 17 of of IN A34005 2313 18 half half PDT A34005 2313 19 the the DT A34005 2313 20 Suns Suns NNPS A34005 2313 21 mid mid JJ A34005 2313 22 - - NN A34005 2313 23 night night NN A34005 2313 24 Depression depression NN A34005 2313 25 from from IN A34005 2313 26 the the DT A34005 2313 27 Center Center NNP A34005 2313 28 the the DT A34005 2313 29 other other JJ A34005 2313 30 way way NN A34005 2313 31 , , , A34005 2313 32 retaining retain VBG A34005 2313 33 the the DT A34005 2313 34 former former JJ A34005 2313 35 Radius Radius NNP A34005 2313 36 , , , A34005 2313 37 by by IN A34005 2313 38 this this DT A34005 2313 39 meanes meane NNS A34005 2313 40 there there EX A34005 2313 41 will will MD A34005 2313 42 be be VB A34005 2313 43 found find VBN A34005 2313 44 two two CD A34005 2313 45 respective respective JJ A34005 2313 46 points point NNS A34005 2313 47 limiting limit VBG A34005 2313 48 the the DT A34005 2313 49 Diameters Diameters NNPS A34005 2313 50 of of IN A34005 2313 51 each each DT A34005 2313 52 Parallel Parallel NNP A34005 2313 53 , , , A34005 2313 54 which which WDT A34005 2313 55 had have VBD A34005 2313 56 , , , A34005 2313 57 the the DT A34005 2313 58 Centers Centers NNPS A34005 2313 59 will will MD A34005 2313 60 be be VB A34005 2313 61 easily easily RB A34005 2313 62 found find VBN A34005 2313 63 falling fall VBG A34005 2313 64 in in IN A34005 2313 65 the the DT A34005 2313 66 middle middle NN A34005 2313 67 of of IN A34005 2313 68 each each DT A34005 2313 69 Diameter Diameter NNP A34005 2313 70 . . . A34005 2314 1 But but CC A34005 2314 2 to to IN A34005 2314 3 doe doe NNP A34005 2314 4 this this DT A34005 2314 5 Arithmetically arithmetically RB A34005 2314 6 , , , A34005 2314 7 first first RB A34005 2314 8 , , , A34005 2314 9 find find VB A34005 2314 10 the the DT A34005 2314 11 Arke Arke NNP A34005 2314 12 compounded compound VBN A34005 2314 13 of of IN A34005 2314 14 halfe halfe NN A34005 2314 15 the the DT A34005 2314 16 Suns Suns NNPS A34005 2314 17 meridian meridian NN A34005 2314 18 Altitude altitude NN A34005 2314 19 , , , A34005 2314 20 and and CC A34005 2314 21 45 45 CD A34005 2314 22 Degr Degr NNP A34005 2314 23 . . . A34005 2315 1 as as IN A34005 2315 2 before before RB A34005 2315 3 , , , A34005 2315 4 and and CC A34005 2315 5 to to IN A34005 2315 6 the the DT A34005 2315 7 Tangent Tangent NNP A34005 2315 8 thereof thereof RB A34005 2315 9 , , , A34005 2315 10 adde adde VB A34005 2315 11 the the DT A34005 2315 12 Tangent tangent NN A34005 2315 13 of of IN A34005 2315 14 halfe halfe NN A34005 2315 15 the the DT A34005 2315 16 Suns Suns NNPS A34005 2315 17 mid mid JJ A34005 2315 18 - - NN A34005 2315 19 night night NN A34005 2315 20 depression depression NN A34005 2315 21 , , , A34005 2315 22 observing observe VBG A34005 2315 23 that that IN A34005 2315 24 the the DT A34005 2315 25 Suns Suns NNPS A34005 2315 26 mid mid JJ A34005 2315 27 - - NN A34005 2315 28 night night NN A34005 2315 29 depression depression NN A34005 2315 30 in in IN A34005 2315 31 Winter Winter NNP A34005 2315 32 - - HYPH A34005 2315 33 Summer Summer NNP A34005 2315 34 , , , A34005 2315 35 is be VBZ A34005 2315 36 equal equal JJ A34005 2315 37 to to IN A34005 2315 38 his -PRON- PRP$ A34005 2315 39 Meridian Meridian NNP A34005 2315 40 Altitude Altitude NNP A34005 2315 41 in in IN A34005 2315 42 Summer Summer NNP A34005 2315 43 - - HYPH A34005 2315 44 Winter Winter NNP A34005 2315 45 , , , A34005 2315 46 his -PRON- PRP$ A34005 2315 47 declination declination NN A34005 2315 48 being be VBG A34005 2315 49 alike alike RB A34005 2315 50 in in IN A34005 2315 51 quantity quantity NN A34005 2315 52 , , , A34005 2315 53 though though IN A34005 2315 54 in in IN A34005 2315 55 different different JJ A34005 2315 56 Hemispheres hemisphere NNS A34005 2315 57 , , , A34005 2315 58 the the DT A34005 2315 59 halfe halfe NN A34005 2315 60 summe summe NN A34005 2315 61 of of IN A34005 2315 62 these these DT A34005 2315 63 two two CD A34005 2315 64 Tangents tangent NNS A34005 2315 65 are be VBP A34005 2315 66 the the DT A34005 2315 67 respective respective JJ A34005 2315 68 Semidiameters Semidiameters NNPS A34005 2315 69 sought seek VBD A34005 2315 70 , , , A34005 2315 71 and and CC A34005 2315 72 being be VBG A34005 2315 73 prickt prickt NNS A34005 2315 74 in in IN A34005 2315 75 the the DT A34005 2315 76 meridian meridian JJ A34005 2315 77 line line NN A34005 2315 78 either either DT A34005 2315 79 way way NN A34005 2315 80 from from IN A34005 2315 81 the the DT A34005 2315 82 former former JJ A34005 2315 83 points point NNS A34005 2315 84 limiting limit VBG A34005 2315 85 the the DT A34005 2315 86 Diameters Diameters NNPS A34005 2315 87 , , , A34005 2315 88 will will MD A34005 2315 89 find find VB A34005 2315 90 the the DT A34005 2315 91 Centers Centers NNPS A34005 2315 92 . . . A34005 2316 1 Or or CC A34005 2316 2 without without IN A34005 2316 3 limiting limit VBG A34005 2316 4 those those DT A34005 2316 5 Points point NNS A34005 2316 6 for for IN A34005 2316 7 the the DT A34005 2316 8 Diameters Diameters NNPS A34005 2316 9 : : : A34005 2316 10 first first RB A34005 2316 11 , , , A34005 2316 12 get get VB A34005 2316 13 the the DT A34005 2316 14 Difference Difference NNP A34005 2316 15 between between IN A34005 2316 16 the the DT A34005 2316 17 Tangents tangent NNS A34005 2316 18 of of IN A34005 2316 19 those those DT A34005 2316 20 Arkes arke NNS A34005 2316 21 that that WDT A34005 2316 22 limit limit VBP A34005 2316 23 them -PRON- PRP A34005 2316 24 on on IN A34005 2316 25 either either DT A34005 2316 26 side side NN A34005 2316 27 , , , A34005 2316 28 and and CC A34005 2316 29 the the DT A34005 2316 30 halfe halfe NN A34005 2316 31 summe summe NN A34005 2316 32 above above RB A34005 2316 33 - - HYPH A34005 2316 34 said say VBN A34005 2316 35 , , , A34005 2316 36 the the DT A34005 2316 37 said say VBD A34005 2316 38 difference difference NN A34005 2316 39 prickt prickt NNS A34005 2316 40 from from IN A34005 2316 41 the the DT A34005 2316 42 Center Center NNP A34005 2316 43 of of IN A34005 2316 44 the the DT A34005 2316 45 quadrant quadrant NN A34005 2316 46 in in IN A34005 2316 47 the the DT A34005 2316 48 meridian meridian JJ A34005 2316 49 line line NN A34005 2316 50 finds find VBZ A34005 2316 51 the the DT A34005 2316 52 respective respective JJ A34005 2316 53 Centers Centers NNPS A34005 2316 54 of of IN A34005 2316 55 those those DT A34005 2316 56 Parallels Parallels NNPS A34005 2316 57 , , , A34005 2316 58 the the DT A34005 2316 59 said say VBD A34005 2316 60 halfe halfe NN A34005 2316 61 summes summe VBZ A34005 2316 62 being be VBG A34005 2316 63 the the DT A34005 2316 64 respective respective JJ A34005 2316 65 Semidiameters Semidiameters NNPS A34005 2316 66 wherewith wherewith VBG A34005 2316 67 they -PRON- PRP A34005 2316 68 are be VBP A34005 2316 69 to to TO A34005 2316 70 be be VB A34005 2316 71 described describe VBN A34005 2316 72 . . . A34005 2317 1 Of of IN A34005 2317 2 the the DT A34005 2317 3 Line Line NNP A34005 2317 4 or or CC A34005 2317 5 Index Index NNP A34005 2317 6 of of IN A34005 2317 7 Altitudes Altitudes NNPS A34005 2317 8 . . . A34005 2318 1 THis this DT A34005 2318 2 is be VBZ A34005 2318 3 no no DT A34005 2318 4 other other JJ A34005 2318 5 then then RB A34005 2318 6 a a DT A34005 2318 7 single single JJ A34005 2318 8 prickt prickt NNS A34005 2318 9 line line NN A34005 2318 10 standing stand VBG A34005 2318 11 next next IN A34005 2318 12 the the DT A34005 2318 13 Meridian meridian JJ A34005 2318 14 line line NN A34005 2318 15 , , , A34005 2318 16 or or CC A34005 2318 17 left left JJ A34005 2318 18 edge edge NN A34005 2318 19 of of IN A34005 2318 20 the the DT A34005 2318 21 quadrant quadrant NN A34005 2318 22 , , , A34005 2318 23 to to TO A34005 2318 24 which which WDT A34005 2318 25 the the DT A34005 2318 26 Bead Bead NNP A34005 2318 27 must must MD A34005 2318 28 be be VB A34005 2318 29 continually continually RB A34005 2318 30 rectified rectified JJ A34005 2318 31 , , , A34005 2318 32 when when WRB A34005 2318 33 either either CC A34005 2318 34 the the DT A34005 2318 35 houre houre NN A34005 2318 36 or or CC A34005 2318 37 Azimuth Azimuth NNP A34005 2318 38 is be VBZ A34005 2318 39 found find VBN A34005 2318 40 by by IN A34005 2318 41 help help NN A34005 2318 42 of of IN A34005 2318 43 the the DT A34005 2318 44 projection projection NN A34005 2318 45 . . . A34005 2319 1 To to TO A34005 2319 2 graduate graduate VB A34005 2319 3 it -PRON- PRP A34005 2319 4 . . . A34005 2320 1 ADde ADde NNP A34005 2320 2 halfe halfe NN A34005 2320 3 the the DT A34005 2320 4 Altitudes altitude NNS A34005 2320 5 respectively respectively RB A34005 2320 6 whereto whereto VBP A34005 2320 7 the the DT A34005 2320 8 Index Index NNP A34005 2320 9 is be VBZ A34005 2320 10 to to TO A34005 2320 11 be be VB A34005 2320 12 fitted fit VBN A34005 2320 13 to to IN A34005 2320 14 45 45 CD A34005 2320 15 Degr Degr NNP A34005 2320 16 . . . A34005 2321 1 and and CC A34005 2321 2 prick prick NNP A34005 2321 3 downe downe NNP A34005 2321 4 the the DT A34005 2321 5 Tangents Tangents NNPS A34005 2321 6 of of IN A34005 2321 7 these these DT A34005 2321 8 compound compound NN A34005 2321 9 arkes arke NNS A34005 2321 10 from from IN A34005 2321 11 the the DT A34005 2321 12 Center Center NNP A34005 2321 13 . . . A34005 2322 1 Example example NN A34005 2322 2 . . . A34005 2323 1 To to TO A34005 2323 2 graduate graduate VB A34005 2323 3 the the DT A34005 2323 4 Index Index NNP A34005 2323 5 for for IN A34005 2323 6 40 40 CD A34005 2323 7 Degr Degr NNP A34005 2323 8 . . . A34005 2324 1 of of IN A34005 2324 2 Altitude Altitude NNP A34005 2324 3 , , , A34005 2324 4 the the DT A34005 2324 5 halfe halfe NN A34005 2324 6 thereof thereof RB A34005 2324 7 is be VBZ A34005 2324 8 20 20 CD A34005 2324 9 , , , A34005 2324 10 which which WDT A34005 2324 11 added add VBD A34005 2324 12 to to IN A34005 2324 13 45 45 CD A34005 2324 14 Degr Degr NNP A34005 2324 15 . . . A34005 2325 1 makes make VBZ A34005 2325 2 65 65 CD A34005 2325 3 Degr Degr NNP A34005 2325 4 . . . A34005 2326 1 which which WDT A34005 2326 2 taken take VBN A34005 2326 3 from from IN A34005 2326 4 a a DT A34005 2326 5 Tangent tangent NN A34005 2326 6 to to IN A34005 2326 7 the the DT A34005 2326 8 former former JJ A34005 2326 9 Radius Radius NNP A34005 2326 10 , , , A34005 2326 11 and and CC A34005 2326 12 prickt prickt NNS A34005 2326 13 from from IN A34005 2326 14 the the DT A34005 2326 15 Center Center NNP A34005 2326 16 , , , A34005 2326 17 gives give VBZ A34005 2326 18 the the DT A34005 2326 19 point point NN A34005 2326 20 where where WRB A34005 2326 21 the the DT A34005 2326 22 Index Index NNP A34005 2326 23 is be VBZ A34005 2326 24 to to TO A34005 2326 25 be be VB A34005 2326 26 graduated graduate VBN A34005 2326 27 with with IN A34005 2326 28 40 40 CD A34005 2326 29 Degrees degree NNS A34005 2326 30 . . . A34005 2327 1 Hence hence RB A34005 2327 2 it -PRON- PRP A34005 2327 3 is be VBZ A34005 2327 4 evident evident JJ A34005 2327 5 that that IN A34005 2327 6 where where WRB A34005 2327 7 the the DT A34005 2327 8 divisions division NNS A34005 2327 9 of of IN A34005 2327 10 the the DT A34005 2327 11 Index Index NNP A34005 2327 12 begin begin VBP A34005 2327 13 marked mark VBN A34005 2327 14 ( ( -LRB- A34005 2327 15 0 0 NFP A34005 2327 16 ) ) -RRB- A34005 2327 17 the the DT A34005 2327 18 distance distance NN A34005 2327 19 of of IN A34005 2327 20 that that DT A34005 2327 21 point point NN A34005 2327 22 from from IN A34005 2327 23 the the DT A34005 2327 24 Center Center NNP A34005 2327 25 is be VBZ A34005 2327 26 equal equal JJ A34005 2327 27 to to IN A34005 2327 28 the the DT A34005 2327 29 common common JJ A34005 2327 30 Radius Radius NNP A34005 2327 31 of of IN A34005 2327 32 the the DT A34005 2327 33 Tangents Tangents NNP A34005 2327 34 . . . A34005 2328 1 Because because IN A34005 2328 2 this this DT A34005 2328 3 quadrant quadrant NN A34005 2328 4 ( ( -LRB- A34005 2328 5 as as IN A34005 2328 6 all all DT A34005 2328 7 natural natural JJ A34005 2328 8 projections projection NNS A34005 2328 9 ) ) -RRB- A34005 2328 10 hath hath VBP A34005 2328 11 a a DT A34005 2328 12 reverted reverted JJ A34005 2328 13 taile taile NN A34005 2328 14 , , , A34005 2328 15 the the DT A34005 2328 16 graduations graduation NNS A34005 2328 17 of of IN A34005 2328 18 the the DT A34005 2328 19 Index Index NNP A34005 2328 20 are be VBP A34005 2328 21 continued continue VBN A34005 2328 22 above above IN A34005 2328 23 the the DT A34005 2328 24 Hozontal Hozontal NNP A34005 2328 25 point point NN A34005 2328 26 ( ( -LRB- A34005 2328 27 0 0 NFP A34005 2328 28 ) ) -RRB- A34005 2328 29 towards towards IN A34005 2328 30 the the DT A34005 2328 31 Center Center NNP A34005 2328 32 to to IN A34005 2328 33 30 30 CD A34005 2328 34 Degr Degr NNP A34005 2328 35 . . . A34005 2329 1 40′ 40′ LS A34005 2329 2 as as RB A34005 2329 3 much much JJ A34005 2329 4 as as IN A34005 2329 5 is be VBZ A34005 2329 6 the the DT A34005 2329 7 Sunnes Sunnes NNPS A34005 2329 8 greatest great JJS A34005 2329 9 Vertical vertical JJ A34005 2329 10 Altitude altitude NN A34005 2329 11 in in IN A34005 2329 12 this this DT A34005 2329 13 Latitude Latitude NNP A34005 2329 14 , , , A34005 2329 15 and and CC A34005 2329 16 the the DT A34005 2329 17 graduations graduation NNS A34005 2329 18 of of IN A34005 2329 19 the the DT A34005 2329 20 Index Index NNP A34005 2329 21 are be VBP A34005 2329 22 set set VBN A34005 2329 23 off off RP A34005 2329 24 from from IN A34005 2329 25 the the DT A34005 2329 26 Center Center NNP A34005 2329 27 by by IN A34005 2329 28 pricking prick VBG A34005 2329 29 downe downe NNP A34005 2329 30 the the DT A34005 2329 31 Tangents Tangents NNP A34005 2329 32 of of IN A34005 2329 33 the the DT A34005 2329 34 arkes arke NNS A34005 2329 35 of of IN A34005 2329 36 difference difference NN A34005 2329 37 between between IN A34005 2329 38 half half PDT A34005 2329 39 the the DT A34005 2329 40 proposed propose VBN A34005 2329 41 Altitude altitude NN A34005 2329 42 , , , A34005 2329 43 and and CC A34005 2329 44 45 45 CD A34005 2329 45 Deg deg NN A34005 2329 46 . . . A34005 2330 1 thus thus RB A34005 2330 2 to to TO A34005 2330 3 graduate graduate VB A34005 2330 4 20 20 CD A34005 2330 5 deg deg NN A34005 2330 6 . . . A34005 2331 1 of of IN A34005 2331 2 the the DT A34005 2331 3 Index Index NNP A34005 2331 4 the the DT A34005 2331 5 halfe halfe NN A34005 2331 6 thereof thereof RB A34005 2331 7 is be VBZ A34005 2331 8 10 10 CD A34005 2331 9 Degrees Degrees NNPS A34005 2331 10 , , , A34005 2331 11 which which WDT A34005 2331 12 taken take VBN A34005 2331 13 from from IN A34005 2331 14 45 45 CD A34005 2331 15 Degrees Degrees NNPS A34005 2331 16 , , , A34005 2331 17 the the DT A34005 2331 18 residue residue NN A34005 2331 19 is be VBZ A34005 2331 20 35 35 CD A34005 2331 21 Degrees degree NNS A34005 2331 22 , , , A34005 2331 23 the the DT A34005 2331 24 Tangent tangent NN A34005 2331 25 thereof thereof VBD A34005 2331 26 prickt prickt NNS A34005 2331 27 from from IN A34005 2331 28 the the DT A34005 2331 29 Center Center NNP A34005 2331 30 gives give VBZ A34005 2331 31 the the DT A34005 2331 32 point point NN A34005 2331 33 where where WRB A34005 2331 34 the the DT A34005 2331 35 Index Index NNP A34005 2331 36 is be VBZ A34005 2331 37 to to TO A34005 2331 38 be be VB A34005 2331 39 graduated graduate VBN A34005 2331 40 with with IN A34005 2331 41 20 20 CD A34005 2331 42 Degrees degree NNS A34005 2331 43 . . . A34005 2332 1 Of of IN A34005 2332 2 the the DT A34005 2332 3 houre houre NN A34005 2332 4 Circles circle NNS A34005 2332 5 . . . A34005 2333 1 THese these DT A34005 2333 2 are be VBP A34005 2333 3 knowne knowne JJ A34005 2333 4 by by IN A34005 2333 5 the the DT A34005 2333 6 numbers number NNS A34005 2333 7 set set VBN A34005 2333 8 to to IN A34005 2333 9 them -PRON- PRP A34005 2333 10 by by IN A34005 2333 11 crossing cross VBG A34005 2333 12 the the DT A34005 2333 13 Parallels Parallels NNP A34005 2333 14 of of IN A34005 2333 15 Declination Declination NNP A34005 2333 16 , , , A34005 2333 17 and and CC A34005 2333 18 by by IN A34005 2333 19 issuing issue VBG A34005 2333 20 from from IN A34005 2333 21 the the DT A34005 2333 22 upper upper JJ A34005 2333 23 part part NN A34005 2333 24 of of IN A34005 2333 25 the the DT A34005 2333 26 quadrant quadrant NN A34005 2333 27 towards towards IN A34005 2333 28 the the DT A34005 2333 29 Limbe Limbe NNP A34005 2333 30 . . . A34005 2334 1 To to TO A34005 2334 2 describe describe VB A34005 2334 3 them -PRON- PRP A34005 2334 4 . . . A34005 2335 1 LEt let VB A34005 2335 2 it -PRON- PRP A34005 2335 3 be be VB A34005 2335 4 noted note VBN A34005 2335 5 that that IN A34005 2335 6 they -PRON- PRP A34005 2335 7 all all DT A34005 2335 8 meet meet VBP A34005 2335 9 in in IN A34005 2335 10 a a DT A34005 2335 11 point point NN A34005 2335 12 in in IN A34005 2335 13 the the DT A34005 2335 14 Meridian Meridian NNP A34005 2335 15 Line Line NNP A34005 2335 16 below below IN A34005 2335 17 the the DT A34005 2335 18 Center Center NNP A34005 2335 19 of of IN A34005 2335 20 the the DT A34005 2335 21 quadrant quadrant NN A34005 2335 22 : : : A34005 2335 23 the the DT A34005 2335 24 distance distance NN A34005 2335 25 whereof whereof NNP A34005 2335 26 from from IN A34005 2335 27 the the DT A34005 2335 28 Center Center NNP A34005 2335 29 is be VBZ A34005 2335 30 equal equal JJ A34005 2335 31 to to IN A34005 2335 32 the the DT A34005 2335 33 Tangent tangent NN A34005 2335 34 of of IN A34005 2335 35 halfe halfe NN A34005 2335 36 the the DT A34005 2335 37 Complement Complement NNP A34005 2335 38 of of IN A34005 2335 39 the the DT A34005 2335 40 Latitude Latitude NNP A34005 2335 41 taken take VBN A34005 2335 42 out out IN A34005 2335 43 of of IN A34005 2335 44 the the DT A34005 2335 45 common common JJ A34005 2335 46 Radius Radius NNP A34005 2335 47 , , , A34005 2335 48 which which WDT A34005 2335 49 at at IN A34005 2335 50 London London NNP A34005 2335 51 will will MD A34005 2335 52 be be VB A34005 2335 53 the the DT A34005 2335 54 Tangent Tangent NNP A34005 2335 55 of of IN A34005 2335 56 19 19 CD A34005 2335 57 Deg deg NN A34005 2335 58 . . . A34005 2336 1 14′ 14′ CD A34005 2336 2 . . . A34005 2337 1 The the DT A34005 2337 2 former former JJ A34005 2337 3 point point NN A34005 2337 4 which which WDT A34005 2337 5 may may MD A34005 2337 6 be be VB A34005 2337 7 called call VBN A34005 2337 8 the the DT A34005 2337 9 Pole Pole NNP A34005 2337 10 - - HYPH A34005 2337 11 point point NN A34005 2337 12 , , , A34005 2337 13 limits limit VBZ A34005 2337 14 their -PRON- PRP$ A34005 2337 15 Semidiameters Semidiameters NNPS A34005 2337 16 , , , A34005 2337 17 to to TO A34005 2337 18 find find VB A34005 2337 19 the the DT A34005 2337 20 Centers Centers NNPS A34005 2337 21 prick prick VB A34005 2337 22 off off RP A34005 2337 23 the the DT A34005 2337 24 Tangent Tangent NNP A34005 2337 25 of of IN A34005 2337 26 the the DT A34005 2337 27 Latitude Latitude NNP A34005 2337 28 and and CC A34005 2337 29 through through IN A34005 2337 30 the the DT A34005 2337 31 termination termination NN A34005 2337 32 raise raise VB A34005 2337 33 a a DT A34005 2337 34 line line NN A34005 2337 35 Perpendicular perpendicular JJ A34005 2337 36 to to IN A34005 2337 37 the the DT A34005 2337 38 Meridian meridian JJ A34005 2337 39 line line NN A34005 2337 40 , , , A34005 2337 41 the the DT A34005 2337 42 distance distance NN A34005 2337 43 from from IN A34005 2337 44 the the DT A34005 2337 45 Pole Pole NNP A34005 2337 46 - - HYPH A34005 2337 47 point point NN A34005 2337 48 being be VBG A34005 2337 49 equal equal JJ A34005 2337 50 to to IN A34005 2337 51 the the DT A34005 2337 52 Secant Secant NNP A34005 2337 53 of of IN A34005 2337 54 the the DT A34005 2337 55 Latitude Latitude NNP A34005 2337 56 , , , A34005 2337 57 must must MD A34005 2337 58 be be VB A34005 2337 59 made make VBN A34005 2337 60 Radius Radius NNP A34005 2337 61 . . . A34005 2338 1 And and CC A34005 2338 2 the the DT A34005 2338 3 Tangents tangent NNS A34005 2338 4 of of IN A34005 2338 5 15 15 CD A34005 2338 6 Degrees degree NNS A34005 2338 7 , , , A34005 2338 8 30 30 CD A34005 2338 9 Degrees Degrees NNP A34005 2338 10 & & CC A34005 2338 11 c. c. NNP A34005 2338 12 prickt prickt NNP A34005 2338 13 off off RP A34005 2338 14 on on IN A34005 2338 15 the the DT A34005 2338 16 former former JJ A34005 2338 17 raised raise VBN A34005 2338 18 line line NN A34005 2338 19 , , , A34005 2338 20 gives give VBZ A34005 2338 21 the the DT A34005 2338 22 respective respective JJ A34005 2338 23 Centers Centers NNPS A34005 2338 24 of of IN A34005 2338 25 the the DT A34005 2338 26 houre houre NN A34005 2338 27 Circles Circles NNP A34005 2338 28 , , , A34005 2338 29 the the DT A34005 2338 30 distances distance NNS A34005 2338 31 whereof whereof IN A34005 2338 32 from from IN A34005 2338 33 the the DT A34005 2338 34 Pole Pole NNP A34005 2338 35 point point NN A34005 2338 36 are be VBP A34005 2338 37 the the DT A34005 2338 38 Semidiameters Semidiameters NNPS A34005 2338 39 wherewith wherewith VBG A34005 2338 40 those those DT A34005 2338 41 houre houre NN A34005 2338 42 Circles circle NNS A34005 2338 43 are be VBP A34005 2338 44 to to TO A34005 2338 45 be be VB A34005 2338 46 drawne drawne NN A34005 2338 47 . . . A34005 2339 1 Of of IN A34005 2339 2 the the DT A34005 2339 3 reverted reverted JJ A34005 2339 4 Tail Tail NNP A34005 2339 5 . . . A34005 2340 1 THis this DT A34005 2340 2 needs need VBZ A34005 2340 3 no no DT A34005 2340 4 Rule Rule NNP A34005 2340 5 to to TO A34005 2340 6 describe describe VB A34005 2340 7 it -PRON- PRP A34005 2340 8 , , , A34005 2340 9 being be VBG A34005 2340 10 made make VBN A34005 2340 11 by by IN A34005 2340 12 the the DT A34005 2340 13 continuing continuing NN A34005 2340 14 of of IN A34005 2340 15 the the DT A34005 2340 16 parallels parallel NNS A34005 2340 17 of of IN A34005 2340 18 Declination declination NN A34005 2340 19 to to IN A34005 2340 20 the the DT A34005 2340 21 right right JJ A34005 2340 22 edge edge NN A34005 2340 23 of of IN A34005 2340 24 the the DT A34005 2340 25 quadrant quadrant NN A34005 2340 26 and and CC A34005 2340 27 the the DT A34005 2340 28 houre houre NN A34005 2340 29 Circles Circles NNP A34005 2340 30 up up RP A34005 2340 31 to to IN A34005 2340 32 the the DT A34005 2340 33 Winter Winter NNP A34005 2340 34 Tropick Tropick NNP A34005 2340 35 or or CC A34005 2340 36 parallel parallel NN A34005 2340 37 of of IN A34005 2340 38 Declination declination NN A34005 2340 39 neerest neerest VB A34005 2340 40 the the DT A34005 2340 41 Center Center NNP A34005 2340 42 , , , A34005 2340 43 however however RB A34005 2340 44 the the DT A34005 2340 45 quantity quantity NN A34005 2340 46 of of IN A34005 2340 47 it -PRON- PRP A34005 2340 48 may may MD A34005 2340 49 be be VB A34005 2340 50 knowne knowne JJ A34005 2340 51 by by IN A34005 2340 52 setting set VBG A34005 2340 53 one one CD A34005 2340 54 foot foot NN A34005 2340 55 of of IN A34005 2340 56 a a DT A34005 2340 57 paire paire NN A34005 2340 58 of of IN A34005 2340 59 Compasses Compasses NNPS A34005 2340 60 in in IN A34005 2340 61 the the DT A34005 2340 62 Center Center NNP A34005 2340 63 of of IN A34005 2340 64 the the DT A34005 2340 65 quadrant quadrant NN A34005 2340 66 , , , A34005 2340 67 and and CC A34005 2340 68 the the DT A34005 2340 69 other other JJ A34005 2340 70 extend extend NN A34005 2340 71 to to IN A34005 2340 72 00 00 NFP A34005 2340 73 Degrees degree NNS A34005 2340 74 of of IN A34005 2340 75 Altitude altitude NN A34005 2340 76 in in IN A34005 2340 77 the the DT A34005 2340 78 Index Index NNP A34005 2340 79 ; ; : A34005 2340 80 an an DT A34005 2340 81 Arch Arch NNP A34005 2340 82 with with IN A34005 2340 83 that that DT A34005 2340 84 extent extent NN A34005 2340 85 swept sweep VBD A34005 2340 86 over over IN A34005 2340 87 the the DT A34005 2340 88 quadrant quadrant NN A34005 2340 89 as as RB A34005 2340 90 much much RB A34005 2340 91 as as IN A34005 2340 92 it -PRON- PRP A34005 2340 93 cuts cut VBZ A34005 2340 94 off off RP A34005 2340 95 will will MD A34005 2340 96 be be VB A34005 2340 97 the the DT A34005 2340 98 Reverted Reverted NNP A34005 2340 99 Taile Taile NNP A34005 2340 100 , , , A34005 2340 101 and and CC A34005 2340 102 so so RB A34005 2340 103 much much JJ A34005 2340 104 would would MD A34005 2340 105 be be VB A34005 2340 106 the the DT A34005 2340 107 Radius Radius NNP A34005 2340 108 . . . A34005 2341 1 Of of IN A34005 2341 2 a a DT A34005 2341 3 Quadrant Quadrant NNP A34005 2341 4 made make VBN A34005 2341 5 , , , A34005 2341 6 of of IN A34005 2341 7 this this DT A34005 2341 8 Projection Projection NNP A34005 2341 9 not not RB A34005 2341 10 inverted invert VBN A34005 2341 11 . . . A34005 2342 1 BY by IN A34005 2342 2 what what WDT A34005 2342 3 hath hath NN A34005 2342 4 been be VBN A34005 2342 5 said say VBD A34005 2342 6 it -PRON- PRP A34005 2342 7 will will MD A34005 2342 8 be be VB A34005 2342 9 evident evident JJ A34005 2342 10 to to IN A34005 2342 11 the the DT A34005 2342 12 judicious judicious JJ A34005 2342 13 that that IN A34005 2342 14 this this DT A34005 2342 15 inversion inversion NN A34005 2342 16 is be VBZ A34005 2342 17 no no DT A34005 2342 18 other other JJ A34005 2342 19 then then RB A34005 2342 20 the the DT A34005 2342 21 continance continance NN A34005 2342 22 of of IN A34005 2342 23 the the DT A34005 2342 24 extents extent NNS A34005 2342 25 of of IN A34005 2342 26 one one CD A34005 2342 27 quarter quarter NN A34005 2342 28 of of IN A34005 2342 29 the the DT A34005 2342 30 Horizontal horizontal JJ A34005 2342 31 projection projection NN A34005 2342 32 . . . A34005 2343 1 Which which WDT A34005 2343 2 otherwise otherwise RB A34005 2343 3 could could MD A34005 2343 4 not not RB A34005 2343 5 with with IN A34005 2343 6 convenience convenience NN A34005 2343 7 be be VB A34005 2343 8 brought bring VBN A34005 2343 9 upon upon IN A34005 2343 10 a a DT A34005 2343 11 quadrant quadrant NN A34005 2343 12 . . . A34005 2344 1 Hence hence RB A34005 2344 2 it -PRON- PRP A34005 2344 3 may may MD A34005 2344 4 be be VB A34005 2344 5 observed observe VBN A34005 2344 6 that that DT A34005 2344 7 . . . A34005 2345 1 Having have VBG A34005 2345 2 assigned assign VBN A34005 2345 3 the the DT A34005 2345 4 Radius Radius NNP A34005 2345 5 , , , A34005 2345 6 a a DT A34005 2345 7 quadrant quadrant NN A34005 2345 8 made make VBN A34005 2345 9 of of IN A34005 2345 10 the the DT A34005 2345 11 Horizontal Horizontal NNP A34005 2345 12 Projection Projection NNP A34005 2345 13 without without IN A34005 2345 14 inversion inversion NN A34005 2345 15 , , , A34005 2345 16 to to TO A34005 2345 17 know know VB A34005 2345 18 how how WRB A34005 2345 19 big big JJ A34005 2345 20 a a DT A34005 2345 21 Radius radius NN A34005 2345 22 it -PRON- PRP A34005 2345 23 will will MD A34005 2345 24 require require VB A34005 2345 25 when when WRB A34005 2345 26 inverted invert VBN A34005 2345 27 the the DT A34005 2345 28 proportion proportion NN A34005 2345 29 will will MD A34005 2345 30 hold hold VB A34005 2345 31 . . . A34005 2346 1 AS as IN A34005 2346 2 the the DT A34005 2346 3 Radius Radius NNP A34005 2346 4 , , , A34005 2346 5 is be VBZ A34005 2346 6 to to IN A34005 2346 7 the the DT A34005 2346 8 distance distance NN A34005 2346 9 of of IN A34005 2346 10 the the DT A34005 2346 11 intersection intersection NN A34005 2346 12 of of IN A34005 2346 13 the the DT A34005 2346 14 Aequinoctial aequinoctial JJ A34005 2346 15 point point NN A34005 2346 16 with with IN A34005 2346 17 the the DT A34005 2346 18 Horizon Horizon NNP A34005 2346 19 from from IN A34005 2346 20 the the DT A34005 2346 21 Center Center NNP A34005 2346 22 equall equall NN A34005 2346 23 to to IN A34005 2346 24 the the DT A34005 2346 25 Radius Radius NNP A34005 2346 26 of of IN A34005 2346 27 the the DT A34005 2346 28 said say VBN A34005 2346 29 Projection projection NN A34005 2346 30 when when WRB A34005 2346 31 not not RB A34005 2346 32 inverted invert VBN A34005 2346 33 , , , A34005 2346 34 in in IN A34005 2346 35 any any DT A34005 2346 36 common common JJ A34005 2346 37 measure measure NN A34005 2346 38 . . . A34005 2347 1 So so RB A34005 2347 2 is be VBZ A34005 2347 3 the the DT A34005 2347 4 Tangent Tangent NNP A34005 2347 5 of of IN A34005 2347 6 an an DT A34005 2347 7 Arke Arke NNP A34005 2347 8 compounded compound VBN A34005 2347 9 of of IN A34005 2347 10 45 45 CD A34005 2347 11 Degrees Degrees NNPS A34005 2347 12 , , , A34005 2347 13 and and CC A34005 2347 14 of of IN A34005 2347 15 half half PDT A34005 2347 16 the the DT A34005 2347 17 Suns Suns NNPS A34005 2347 18 greatest great JJS A34005 2347 19 Meridian Meridian NNP A34005 2347 20 Altitude Altitude NNP A34005 2347 21 . . . A34005 2348 1 To to IN A34005 2348 2 the the DT A34005 2348 3 distance distance NN A34005 2348 4 between between IN A34005 2348 5 the the DT A34005 2348 6 Center Center NNP A34005 2348 7 and and CC A34005 2348 8 the the DT A34005 2348 9 out out JJ A34005 2348 10 - - HYPH A34005 2348 11 ward ward NN A34005 2348 12 Tropick Tropick NNP A34005 2348 13 next next IN A34005 2348 14 the the DT A34005 2348 15 Limbe Limbe NNP A34005 2348 16 in in IN A34005 2348 17 the the DT A34005 2348 18 said say VBN A34005 2348 19 known know VBN A34005 2348 20 measure measure NN A34005 2348 21 when when WRB A34005 2348 22 inverted invert VBN A34005 2348 23 , , , A34005 2348 24 whence whence UH A34005 2348 25 it -PRON- PRP A34005 2348 26 followes follow VBZ A34005 2348 27 that that IN A34005 2348 28 between between IN A34005 2348 29 the the DT A34005 2348 30 Tropicks tropick NNS A34005 2348 31 this this DT A34005 2348 32 projection projection NN A34005 2348 33 can can MD A34005 2348 34 not not RB A34005 2348 35 be be VB A34005 2348 36 inverted invert VBN A34005 2348 37 , , , A34005 2348 38 but but CC A34005 2348 39 the the DT A34005 2348 40 reverted reverted JJ A34005 2348 41 taile taile NN A34005 2348 42 will will MD A34005 2348 43 be be VB A34005 2348 44 but but CC A34005 2348 45 small small JJ A34005 2348 46 , , , A34005 2348 47 and and CC A34005 2348 48 may may MD A34005 2348 49 be be VB A34005 2348 50 drawne drawne VB A34005 2348 51 with with IN A34005 2348 52 convenience convenience NN A34005 2348 53 without without IN A34005 2348 54 inversion inversion NN A34005 2348 55 . . . A34005 2349 1 Of of IN A34005 2349 2 the the DT A34005 2349 3 Curved Curved NNP A34005 2349 4 Line Line NNP A34005 2349 5 and and CC A34005 2349 6 Scales Scales NNPS A34005 2349 7 belonging belong VBG A34005 2349 8 to to IN A34005 2349 9 it -PRON- PRP A34005 2349 10 . . . A34005 2350 1 BEyond beyond IN A34005 2350 2 the the DT A34005 2350 3 middle middle NN A34005 2350 4 of of IN A34005 2350 5 the the DT A34005 2350 6 Projection Projection NNP A34005 2350 7 stands stand VBZ A34005 2350 8 a a DT A34005 2350 9 Curved curved JJ A34005 2350 10 or or CC A34005 2350 11 bending bend VBG A34005 2350 12 Line Line NNP A34005 2350 13 , , , A34005 2350 14 numbred numbre VBN A34005 2350 15 from from IN A34005 2350 16 the the DT A34005 2350 17 O o NN A34005 2350 18 or or CC A34005 2350 19 cypher cypher VB A34005 2350 20 both both DT A34005 2350 21 wayes waye NNS A34005 2350 22 , , , A34005 2350 23 one one CD A34005 2350 24 way way NN A34005 2350 25 to to IN A34005 2350 26 60 60 CD A34005 2350 27 Degrees degree NNS A34005 2350 28 , , , A34005 2350 29 but but CC A34005 2350 30 divided divide VBD A34005 2350 31 to to IN A34005 2350 32 62 62 CD A34005 2350 33 Degrees degree NNS A34005 2350 34 , , , A34005 2350 35 the the DT A34005 2350 36 other other JJ A34005 2350 37 way way NN A34005 2350 38 to to IN A34005 2350 39 20 20 CD A34005 2350 40 Degr Degr NNP A34005 2350 41 . . . A34005 2351 1 but but CC A34005 2351 2 divided divide VBD A34005 2351 3 to to IN A34005 2351 4 23 23 CD A34005 2351 5 Deg Deg NNS A34005 2351 6 . . . A34005 2352 1 30′ 30′ LS A34005 2352 2 . . . A34005 2353 1 The the DT A34005 2353 2 Invention Invention NNP A34005 2353 3 of of IN A34005 2353 4 this this DT A34005 2353 5 Line Line NNP A34005 2353 6 ownes own VBZ A34005 2353 7 Mr. Mr. NNP A34005 2353 8 Dary Dary NNP A34005 2353 9 for for IN A34005 2353 10 the the DT A34005 2353 11 Author author NN A34005 2353 12 thereof thereof RB A34005 2353 13 , , , A34005 2353 14 the the DT A34005 2353 15 Use Use NNP A34005 2353 16 of of IN A34005 2353 17 it -PRON- PRP A34005 2353 18 being be VBG A34005 2353 19 to to TO A34005 2353 20 find find VB A34005 2353 21 the the DT A34005 2353 22 houre houre NN A34005 2353 23 or or CC A34005 2353 24 Azimuth Azimuth NNP A34005 2353 25 in in IN A34005 2353 26 that that DT A34005 2353 27 particular particular JJ A34005 2353 28 latitude latitude NN A34005 2353 29 whereto whereto NN A34005 2353 30 it -PRON- PRP A34005 2353 31 is be VBZ A34005 2353 32 fitted fit VBN A34005 2353 33 by by IN A34005 2353 34 the the DT A34005 2353 35 extension extension NN A34005 2353 36 of of IN A34005 2353 37 a a DT A34005 2353 38 threed threed NN A34005 2353 39 over over IN A34005 2353 40 it -PRON- PRP A34005 2353 41 , , , A34005 2353 42 and and CC A34005 2353 43 the the DT A34005 2353 44 lines line NNS A34005 2353 45 belonging belong VBG A34005 2353 46 to to IN A34005 2353 47 it -PRON- PRP A34005 2353 48 . . . A34005 2354 1 The the DT A34005 2354 2 lines line NNS A34005 2354 3 belonging belong VBG A34005 2354 4 to to IN A34005 2354 5 it -PRON- PRP A34005 2354 6 are be VBP A34005 2354 7 two two CD A34005 2354 8 , , , A34005 2354 9 the the DT A34005 2354 10 one one NN A34005 2354 11 a a DT A34005 2354 12 Line Line NNP A34005 2354 13 of of IN A34005 2354 14 Altitudes Altitudes NNPS A34005 2354 15 , , , A34005 2354 16 and and CC A34005 2354 17 Declinations declination NNS A34005 2354 18 standing stand VBG A34005 2354 19 on on IN A34005 2354 20 the the DT A34005 2354 21 left left JJ A34005 2354 22 edge edge NN A34005 2354 23 of of IN A34005 2354 24 the the DT A34005 2354 25 quadrant quadrant NN A34005 2354 26 , , , A34005 2354 27 being be VBG A34005 2354 28 no no DT A34005 2354 29 other other JJ A34005 2354 30 but but CC A34005 2354 31 a a DT A34005 2354 32 line line NN A34005 2354 33 of of IN A34005 2354 34 Sines Sines NNP A34005 2354 35 continued continue VBD A34005 2354 36 both both DT A34005 2354 37 wayes waye NNS A34005 2354 38 , , , A34005 2354 39 from from IN A34005 2354 40 the the DT A34005 2354 41 beginning begin VBG A34005 2354 42 one one CD A34005 2354 43 way way NN A34005 2354 44 to to IN A34005 2354 45 62 62 CD A34005 2354 46 Degrees degree NNS A34005 2354 47 , , , A34005 2354 48 the the DT A34005 2354 49 other other JJ A34005 2354 50 way way NN A34005 2354 51 to to IN A34005 2354 52 23 23 CD A34005 2354 53 . . . A34005 2355 1 Degrees degree NNS A34005 2355 2 30′ 30′ CD A34005 2355 3 . . . A34005 2356 1 The the DT A34005 2356 2 other other JJ A34005 2356 3 line line NN A34005 2356 4 thereto thereto NN A34005 2356 5 belonging belong VBG A34005 2356 6 is be VBZ A34005 2356 7 130 130 CD A34005 2356 8 Deg Deg NNP A34005 2356 9 . . . A34005 2357 1 of of IN A34005 2357 2 a a DT A34005 2357 3 line line NN A34005 2357 4 of of IN A34005 2357 5 Versed Versed NNP A34005 2357 6 Sines Sines NNP A34005 2357 7 , , , A34005 2357 8 which which WDT A34005 2357 9 stands stand VBZ A34005 2357 10 next next JJ A34005 2357 11 without without IN A34005 2357 12 the the DT A34005 2357 13 Projection Projection NNP A34005 2357 14 being be VBG A34005 2357 15 parallel parallel JJ A34005 2357 16 to to IN A34005 2357 17 the the DT A34005 2357 18 left left JJ A34005 2357 19 edge edge NN A34005 2357 20 of of IN A34005 2357 21 the the DT A34005 2357 22 quadrant quadrant NN A34005 2357 23 . . . A34005 2358 1 To to TO A34005 2358 2 dravv dravv VB A34005 2358 3 the the DT A34005 2358 4 Curve curve NN A34005 2358 5 . . . A34005 2359 1 DRaw draw UH A34005 2359 2 two two CD A34005 2359 3 lines line NNS A34005 2359 4 of of IN A34005 2359 5 Versed Versed NNP A34005 2359 6 Sines Sines NNPS A34005 2359 7 , , , A34005 2359 8 it -PRON- PRP A34005 2359 9 matters matter VBZ A34005 2359 10 not not RB A34005 2359 11 whether whether IN A34005 2359 12 of of IN A34005 2359 13 the the DT A34005 2359 14 same same JJ A34005 2359 15 Radius Radius NNP A34005 2359 16 or or CC A34005 2359 17 no no UH A34005 2359 18 , , , A34005 2359 19 nor nor CC A34005 2359 20 how how WRB A34005 2359 21 posited posited JJ A34005 2359 22 ; ; : A34005 2359 23 provided provide VBN A34005 2359 24 they -PRON- PRP A34005 2359 25 be be VBP A34005 2359 26 parallel parallel JJ A34005 2359 27 , , , A34005 2359 28 let let VB A34005 2359 29 each each DT A34005 2359 30 of of IN A34005 2359 31 them -PRON- PRP A34005 2359 32 be be VB A34005 2359 33 numbred numbre VBN A34005 2359 34 as as IN A34005 2359 35 a a DT A34005 2359 36 Sine Sine NNP A34005 2359 37 both both DT A34005 2359 38 ways way NNS A34005 2359 39 , , , A34005 2359 40 from from IN A34005 2359 41 the the DT A34005 2359 42 middle middle NN A34005 2359 43 at at IN A34005 2359 44 ( ( -LRB- A34005 2359 45 0 0 NFP A34005 2359 46 ) ) -RRB- A34005 2359 47 and and CC A34005 2359 48 so so RB A34005 2359 49 each each DT A34005 2359 50 of of IN A34005 2359 51 them -PRON- PRP A34005 2359 52 will will MD A34005 2359 53 containe containe VB A34005 2359 54 two two CD A34005 2359 55 lines line NNS A34005 2359 56 of of IN A34005 2359 57 Sines Sines NNP A34005 2359 58 , , , A34005 2359 59 to to IN A34005 2359 60 the the DT A34005 2359 61 right right JJ A34005 2359 62 end end NN A34005 2359 63 of of IN A34005 2359 64 the the DT A34005 2359 65 uppermost uppermost JJ A34005 2359 66 set set NN A34005 2359 67 C C NNP A34005 2359 68 , , , A34005 2359 69 to to IN A34005 2359 70 the the DT A34005 2359 71 left left JJ A34005 2359 72 end end NN A34005 2359 73 D d NN A34005 2359 74 , , , A34005 2359 75 and and CC A34005 2359 76 to to IN A34005 2359 77 the the DT A34005 2359 78 right right JJ A34005 2359 79 end end NN A34005 2359 80 of of IN A34005 2359 81 the the DT A34005 2359 82 undermost undermost JJ A34005 2359 83 set set VBN A34005 2359 84 A a NN A34005 2359 85 , , , A34005 2359 86 and and CC A34005 2359 87 to to IN A34005 2359 88 the the DT A34005 2359 89 left left JJ A34005 2359 90 end end NN A34005 2359 91 B. B. NNP A34005 2360 1 First first RB A34005 2360 2 , , , A34005 2360 3 Note note VB A34005 2360 4 that that IN A34005 2360 5 there there EX A34005 2360 6 is be VBZ A34005 2360 7 a a DT A34005 2360 8 certaine certaine NN A34005 2360 9 point point NN A34005 2360 10 in in IN A34005 2360 11 the the DT A34005 2360 12 Curve curve NN A34005 2360 13 where where WRB A34005 2360 14 the the DT A34005 2360 15 Graduations graduation NNS A34005 2360 16 will will MD A34005 2360 17 begin begin VB A34005 2360 18 both both DT A34005 2360 19 upwards upward NNS A34005 2360 20 and and CC A34005 2360 21 downwards downwards RB A34005 2360 22 , , , A34005 2360 23 this this DT A34005 2360 24 is be VBZ A34005 2360 25 called call VBN A34005 2360 26 the the DT A34005 2360 27 Aequinoctial aequinoctial JJ A34005 2360 28 point point NN A34005 2360 29 ; ; : A34005 2360 30 to to TO A34005 2360 31 find find VB A34005 2360 32 it -PRON- PRP A34005 2360 33 , , , A34005 2360 34 lay lie VBD A34005 2360 35 a a DT A34005 2360 36 ruler ruler NN A34005 2360 37 from from IN A34005 2360 38 A a DT A34005 2360 39 to to IN A34005 2360 40 the the DT A34005 2360 41 Complement Complement NNP A34005 2360 42 of of IN A34005 2360 43 the the DT A34005 2360 44 Latitude Latitude NNP A34005 2360 45 counted count VBD A34005 2360 46 from from IN A34005 2360 47 ( ( -LRB- A34005 2360 48 0 0 NFP A34005 2360 49 ) ) -RRB- A34005 2360 50 in in IN A34005 2360 51 the the DT A34005 2360 52 upper upper JJ A34005 2360 53 Scale Scale NNP A34005 2360 54 towards towards IN A34005 2360 55 D d NN A34005 2360 56 , , , A34005 2360 57 and and CC A34005 2360 58 draw draw VB A34005 2360 59 a a DT A34005 2360 60 line line NN A34005 2360 61 from from IN A34005 2360 62 A a NN A34005 2360 63 to to IN A34005 2360 64 it -PRON- PRP A34005 2360 65 , , , A34005 2360 66 then then RB A34005 2360 67 count count VB A34005 2360 68 it -PRON- PRP A34005 2360 69 the the DT A34005 2360 70 other other JJ A34005 2360 71 way way NN A34005 2360 72 towards towards IN A34005 2360 73 C C NNP A34005 2360 74 , , , A34005 2360 75 viz viz NN A34005 2360 76 . . . A34005 2361 1 38 38 CD A34005 2361 2 Degrees degree NNS A34005 2361 3 28′ 28′ CD A34005 2361 4 . . . A34005 2362 1 for for IN A34005 2362 2 the the DT A34005 2362 3 Co co NN A34005 2362 4 - - NN A34005 2362 5 latitude latitude NN A34005 2362 6 of of IN A34005 2362 7 London London NNP A34005 2362 8 , , , A34005 2362 9 and and CC A34005 2362 10 lay lie VBD A34005 2362 11 a a DT A34005 2362 12 ruler ruler NN A34005 2362 13 over over IN A34005 2362 14 it -PRON- PRP A34005 2362 15 , , , A34005 2362 16 and and CC A34005 2362 17 the the DT A34005 2362 18 point point NN A34005 2362 19 B b NN A34005 2362 20 , , , A34005 2362 21 and and CC A34005 2362 22 where where WRB A34005 2362 23 it -PRON- PRP A34005 2362 24 intersects intersect VBZ A34005 2362 25 the the DT A34005 2362 26 line line NN A34005 2362 27 before before IN A34005 2362 28 drawn draw VBN A34005 2362 29 , , , A34005 2362 30 is be VBZ A34005 2362 31 the the DT A34005 2362 32 Aequinoctial aequinoctial JJ A34005 2362 33 point point NN A34005 2362 34 to to TO A34005 2362 35 be be VB A34005 2362 36 graduated graduate VBN A34005 2362 37 . . . A34005 2363 1 Then then RB A34005 2363 2 to to TO A34005 2363 3 graduate graduate VB A34005 2363 4 the the DT A34005 2363 5 Division Division NNP A34005 2363 6 on on IN A34005 2363 7 each each DT A34005 2363 8 side side NN A34005 2363 9 of of IN A34005 2363 10 it -PRON- PRP A34005 2363 11 , , , A34005 2363 12 requires require VBZ A34005 2363 13 onely onely RB A34005 2363 14 the the DT A34005 2363 15 making making NN A34005 2363 16 in in IN A34005 2363 17 effect effect NN A34005 2363 18 of of IN A34005 2363 19 a a DT A34005 2363 20 Table Table NNP A34005 2363 21 of of IN A34005 2363 22 Meridian Meridian NNP A34005 2363 23 altitudes altitude NNS A34005 2363 24 to to IN A34005 2363 25 every every DT A34005 2363 26 degree degree NN A34005 2363 27 of of IN A34005 2363 28 Declination Declination NNP A34005 2363 29 ( ( -LRB- A34005 2363 30 which which WDT A34005 2363 31 because because IN A34005 2363 32 the the DT A34005 2363 33 Curve curve NN A34005 2363 34 will will MD A34005 2363 35 also also RB A34005 2363 36 serve serve VB A34005 2363 37 for for IN A34005 2363 38 the the DT A34005 2363 39 Azimuth Azimuth NNP A34005 2363 40 in in IN A34005 2363 41 which which WDT A34005 2363 42 case case NN A34005 2363 43 the the DT A34005 2363 44 graduations graduation NNS A34005 2363 45 of of IN A34005 2363 46 the the DT A34005 2363 47 Curve Curve NNP A34005 2363 48 , , , A34005 2363 49 which which WDT A34005 2363 50 in in IN A34005 2363 51 finding find VBG A34005 2363 52 the the DT A34005 2363 53 houre houre NN A34005 2363 54 were be VBD A34005 2363 55 accounted account VBN A34005 2363 56 Declinations declination NNS A34005 2363 57 must must MD A34005 2363 58 be be VB A34005 2363 59 accounted account VBN A34005 2363 60 Altitudes Altitudes NNPS A34005 2363 61 ) ) -RRB- A34005 2363 62 must must MD A34005 2363 63 be be VB A34005 2363 64 continued continue VBN A34005 2363 65 to to IN A34005 2363 66 62 62 CD A34005 2363 67 Degrees degree NNS A34005 2363 68 for for IN A34005 2363 69 this this DT A34005 2363 70 Latitude Latitude NNP A34005 2363 71 , , , A34005 2363 72 and and CC A34005 2363 73 further further RB A34005 2363 74 also also RB A34005 2363 75 if if IN A34005 2363 76 it -PRON- PRP A34005 2363 77 be be VB A34005 2363 78 intended intend VBN A34005 2363 79 that that IN A34005 2363 80 the the DT A34005 2363 81 Curve curve NN A34005 2363 82 shall shall MD A34005 2363 83 find find VB A34005 2363 84 a a DT A34005 2363 85 Stars star NNS A34005 2363 86 houre houre NN A34005 2363 87 that that WDT A34005 2363 88 hath hath VBP A34005 2363 89 more more JJR A34005 2363 90 declination declination NN A34005 2363 91 . . . A34005 2364 1 To to TO A34005 2364 2 make make VB A34005 2364 3 this this DT A34005 2364 4 Table table NN A34005 2364 5 . . . A34005 2365 1 GEt get VB A34005 2365 2 the the DT A34005 2365 3 Summe Summe NNP A34005 2365 4 and and CC A34005 2365 5 difference difference NN A34005 2365 6 of of IN A34005 2365 7 the the DT A34005 2365 8 Complement Complement NNP A34005 2365 9 of of IN A34005 2365 10 the the DT A34005 2365 11 latitude latitude NN A34005 2365 12 and and CC A34005 2365 13 of of IN A34005 2365 14 the the DT A34005 2365 15 Degrees Degrees NNPS A34005 2365 16 intended intend VBN A34005 2365 17 to to TO A34005 2365 18 be be VB A34005 2365 19 graduated graduate VBN A34005 2365 20 , , , A34005 2365 21 and and CC A34005 2365 22 if if IN A34005 2365 23 the the DT A34005 2365 24 summe summe NN A34005 2365 25 exceed exceed VBP A34005 2365 26 90 90 CD A34005 2365 27 Degrees Degrees NNPS A34005 2365 28 , , , A34005 2365 29 take take VB A34005 2365 30 its -PRON- PRP$ A34005 2365 31 complement complement NN A34005 2365 32 to to IN A34005 2365 33 180 180 CD A34005 2365 34 degrees degree NNS A34005 2365 35 instead instead RB A34005 2365 36 of of IN A34005 2365 37 it -PRON- PRP A34005 2365 38 : : : A34005 2365 39 being be VBG A34005 2365 40 thus thus RB A34005 2365 41 prepared prepare VBN A34005 2365 42 the the DT A34005 2365 43 Curve curve NN A34005 2365 44 will will MD A34005 2365 45 be be VB A34005 2365 46 readily readily RB A34005 2365 47 made make VBN A34005 2365 48 . . . A34005 2366 1 To to TO A34005 2366 2 graduate graduate VB A34005 2366 3 the the DT A34005 2366 4 under under JJ A34005 2366 5 part part NN A34005 2366 6 of of IN A34005 2366 7 the the DT A34005 2366 8 Curve curve NN A34005 2366 9 . . . A34005 2367 1 Account account VB A34005 2367 2 the the DT A34005 2367 3 summe summe NN A34005 2367 4 in in IN A34005 2367 5 the the DT A34005 2367 6 upper upper JJ A34005 2367 7 line line NN A34005 2367 8 from from IN A34005 2367 9 O o NN A34005 2367 10 towards towards IN A34005 2367 11 D d NN A34005 2367 12 , , , A34005 2367 13 and and CC A34005 2367 14 from from IN A34005 2367 15 the the DT A34005 2367 16 point point NN A34005 2367 17 A a NN A34005 2367 18 in in IN A34005 2367 19 the the DT A34005 2367 20 under under JJ A34005 2367 21 line line NN A34005 2367 22 draw draw VB A34005 2367 23 a a DT A34005 2367 24 line line NN A34005 2367 25 to to IN A34005 2367 26 it -PRON- PRP A34005 2367 27 . . . A34005 2368 1 Account account VB A34005 2368 2 the the DT A34005 2368 3 difference difference NN A34005 2368 4 in in IN A34005 2368 5 the the DT A34005 2368 6 upper upper JJ A34005 2368 7 lfne lfne NN A34005 2368 8 when when WRB A34005 2368 9 the the DT A34005 2368 10 degree degree NN A34005 2368 11 proposed propose VBD A34005 2368 12 to to TO A34005 2368 13 be be VB A34005 2368 14 graduated graduate VBN A34005 2368 15 is be VBZ A34005 2368 16 lesse lesse NNP A34005 2368 17 then then RB A34005 2368 18 the the DT A34005 2368 19 complement complement NN A34005 2368 20 of of IN A34005 2368 21 the the DT A34005 2368 22 Latitude Latitude NNP A34005 2368 23 from from IN A34005 2368 24 O o NN A34005 2368 25 towards towards IN A34005 2368 26 C c NN A34005 2368 27 : : : A34005 2368 28 but but CC A34005 2368 29 when when WRB A34005 2368 30 it -PRON- PRP A34005 2368 31 is be VBZ A34005 2368 32 more more RBR A34005 2368 33 towards towards IN A34005 2368 34 D d NN A34005 2368 35 , , , A34005 2368 36 and and CC A34005 2368 37 from from IN A34005 2368 38 the the DT A34005 2368 39 point point NN A34005 2368 40 B b NN A34005 2368 41 lay lie VBD A34005 2368 42 a a DT A34005 2368 43 Ruler ruler NN A34005 2368 44 over over IN A34005 2368 45 it -PRON- PRP A34005 2368 46 , , , A34005 2368 47 and and CC A34005 2368 48 where where WRB A34005 2368 49 the the DT A34005 2368 50 Ruler ruler NN A34005 2368 51 intersects intersect VBZ A34005 2368 52 , , , A34005 2368 53 the the DT A34005 2368 54 line line NN A34005 2368 55 formerly formerly RB A34005 2368 56 drawn draw VBN A34005 2368 57 is be VBZ A34005 2368 58 the the DT A34005 2368 59 point point NN A34005 2368 60 where where WRB A34005 2368 61 the the DT A34005 2368 62 degree degree NN A34005 2368 63 proposed propose VBN A34005 2368 64 is be VBZ A34005 2368 65 to to TO A34005 2368 66 be be VB A34005 2368 67 graduated graduate VBN A34005 2368 68 . . . A34005 2369 1 Example example NN A34005 2369 2 . . . A34005 2370 1 Let let VB A34005 2370 2 it -PRON- PRP A34005 2370 3 be be VB A34005 2370 4 required require VBN A34005 2370 5 to to TO A34005 2370 6 find find VB A34005 2370 7 the the DT A34005 2370 8 point point NN A34005 2370 9 where where WRB A34005 2370 10 60 60 CD A34005 2370 11 deg deg NN A34005 2370 12 . . . A34005 2371 1 of of IN A34005 2371 2 the the DT A34005 2371 3 Curve Curve NNP A34005 2371 4 is be VBZ A34005 2371 5 to to TO A34005 2371 6 be be VB A34005 2371 7 graduated graduate VBN A34005 2371 8 . . . A34005 2372 1 Arke Arke NNS A34005 2372 2 proposed propose VBD A34005 2372 3 60 60 CD A34005 2372 4 deg deg NN A34005 2372 5 . . . A34005 2373 1 Co co NN A34005 2373 2 - - NN A34005 2373 3 latitude latitude NN A34005 2373 4 38 38 CD A34005 2373 5 : : : A34005 2373 6 28 28 CD A34005 2373 7     _SP A34005 2373 8 98 98 CD A34005 2373 9 : : : A34005 2373 10 28 28 CD A34005 2373 11 Summe Summe NNP A34005 2373 12 81 81 CD A34005 2373 13 : : : A34005 2373 14 32 32 CD A34005 2373 15 Difference difference NN A34005 2373 16 21 21 CD A34005 2373 17     _SP A34005 2373 18 32 32 CD A34005 2373 19 Count Count NNP A34005 2373 20 81 81 CD A34005 2373 21 deg deg NN A34005 2373 22 . . . A34005 2374 1 32′ 32′ CD A34005 2374 2 in in IN A34005 2374 3 the the DT A34005 2374 4 upper upper JJ A34005 2374 5 line line NN A34005 2374 6 from from IN A34005 2374 7 O o NN A34005 2374 8 towards towards IN A34005 2374 9 D d NN A34005 2374 10 , , , A34005 2374 11 and and CC A34005 2374 12 from from IN A34005 2374 13 the the DT A34005 2374 14 point point NN A34005 2374 15 A a DT A34005 2374 16 draw draw NN A34005 2374 17 a a DT A34005 2374 18 line line NN A34005 2374 19 to to IN A34005 2374 20 it -PRON- PRP A34005 2374 21 . . . A34005 2375 1 Count count VB A34005 2375 2 the the DT A34005 2375 3 difference difference NN A34005 2375 4 21 21 CD A34005 2375 5 degrees degree NNS A34005 2375 6 32′ 32′ CD A34005 2375 7 from from IN A34005 2375 8 O o NN A34005 2375 9 towards towards IN A34005 2375 10 D d NN A34005 2375 11 , , , A34005 2375 12 because because IN A34005 2375 13 the the DT A34005 2375 14 co co NN A34005 2375 15 - - NN A34005 2375 16 latitude latitude NN A34005 2375 17 is be VBZ A34005 2375 18 lesse lesse NNP A34005 2375 19 then then RB A34005 2375 20 the the DT A34005 2375 21 arke arke NNS A34005 2375 22 proposed propose VBN A34005 2375 23 , , , A34005 2375 24 and and CC A34005 2375 25 lay lie VBD A34005 2375 26 a a DT A34005 2375 27 Ruler ruler NN A34005 2375 28 over over IN A34005 2375 29 it -PRON- PRP A34005 2375 30 , , , A34005 2375 31 and and CC A34005 2375 32 the the DT A34005 2375 33 point point NN A34005 2375 34 B b NN A34005 2375 35 , , , A34005 2375 36 and and CC A34005 2375 37 where where WRB A34005 2375 38 it -PRON- PRP A34005 2375 39 intersects intersect VBZ A34005 2375 40 the the DT A34005 2375 41 former former JJ A34005 2375 42 line line NN A34005 2375 43 is be VBZ A34005 2375 44 the the DT A34005 2375 45 point point NN A34005 2375 46 where where WRB A34005 2375 47 60 60 CD A34005 2375 48 deg deg NN A34005 2375 49 . . . A34005 2376 1 of of IN A34005 2376 2 the the DT A34005 2376 3 Curve Curve NNP A34005 2376 4 is be VBZ A34005 2376 5 to to TO A34005 2376 6 be be VB A34005 2376 7 graduated graduate VBN A34005 2376 8 on on IN A34005 2376 9 the the DT A34005 2376 10 lower low JJR A34005 2376 11 side side NN A34005 2376 12 . . . A34005 2377 1 Another another DT A34005 2377 2 Example example NN A34005 2377 3 . . . A34005 2378 1 Let let VB A34005 2378 2 it -PRON- PRP A34005 2378 3 be be VB A34005 2378 4 proposed propose VBN A34005 2378 5 to to TO A34005 2378 6 graduate graduate VB A34005 2378 7 the the DT A34005 2378 8 same same JJ A34005 2378 9 way way NN A34005 2378 10 , , , A34005 2378 11 The the DT A34005 2378 12 arke arke NNS A34005 2378 13 of of IN A34005 2378 14 30 30 CD A34005 2378 15 degr degr NN A34005 2378 16 . . . A34005 2379 1 30 30 CD A34005 2379 2 degr degr NN A34005 2379 3 . . . A34005 2380 1 Co co NN A34005 2380 2 - - NN A34005 2380 3 latitude latitude NN A34005 2380 4 38 38 CD A34005 2380 5 : : : A34005 2380 6 28 28 CD A34005 2380 7 Summe Summe NNP A34005 2380 8 68 68 CD A34005 2380 9 : : : A34005 2380 10 28 28 CD A34005 2380 11 Difference difference NN A34005 2380 12 8 8 CD A34005 2380 13 : : : A34005 2380 14 28 28 CD A34005 2380 15 Count Count NNP A34005 2380 16 68 68 CD A34005 2380 17 deg deg NNP A34005 2380 18 . . . A34005 2381 1 28′ 28′ CD A34005 2381 2 from from IN A34005 2381 3 O o NN A34005 2381 4 towards towards IN A34005 2381 5 D d NN A34005 2381 6 , , , A34005 2381 7 and and CC A34005 2381 8 from from IN A34005 2381 9 the the DT A34005 2381 10 point point NN A34005 2381 11 A a DT A34005 2381 12 draw draw NN A34005 2381 13 a a DT A34005 2381 14 line line NN A34005 2381 15 to to IN A34005 2381 16 it -PRON- PRP A34005 2381 17 . . . A34005 2382 1 Again again RB A34005 2382 2 in in IN A34005 2382 3 the the DT A34005 2382 4 said say VBN A34005 2382 5 upper upper JJ A34005 2382 6 line line NN A34005 2382 7 , , , A34005 2382 8 count count VB A34005 2382 9 8 8 CD A34005 2382 10 deg deg NN A34005 2382 11 . . . A34005 2383 1 28′ 28′ CD A34005 2383 2 upwards upwards RB A34005 2383 3 from from IN A34005 2383 4 O o NN A34005 2383 5 towards towards IN A34005 2383 6 C c NN A34005 2383 7 , , , A34005 2383 8 & & CC A34005 2383 9 from from IN A34005 2383 10 the the DT A34005 2383 11 point point NN A34005 2383 12 B b NN A34005 2383 13 lay lie VBD A34005 2383 14 a a DT A34005 2383 15 ruler ruler NN A34005 2383 16 over over IN A34005 2383 17 it -PRON- PRP A34005 2383 18 , , , A34005 2383 19 & & CC A34005 2383 20 where where WRB A34005 2383 21 it -PRON- PRP A34005 2383 22 intersects intersect VBZ A34005 2383 23 the the DT A34005 2383 24 line line NN A34005 2383 25 last last JJ A34005 2383 26 drawn drawn NN A34005 2383 27 is be VBZ A34005 2383 28 the the DT A34005 2383 29 point point NN A34005 2383 30 where where WRB A34005 2383 31 30 30 CD A34005 2383 32 d. d. NN A34005 2383 33 of of IN A34005 2383 34 the the DT A34005 2383 35 curve curve NN A34005 2383 36 is be VBZ A34005 2383 37 to to TO A34005 2383 38 be be VB A34005 2383 39 graduated graduate VBN A34005 2383 40 . . . A34005 2384 1 To to TO A34005 2384 2 graduate graduate VB A34005 2384 3 the the DT A34005 2384 4 upper upper JJ A34005 2384 5 part part NN A34005 2384 6 of of IN A34005 2384 7 the the DT A34005 2384 8 curve curve NN A34005 2384 9 requires require VBZ A34005 2384 10 no no DT A34005 2384 11 other other JJ A34005 2384 12 directions direction NNS A34005 2384 13 , , , A34005 2384 14 the the DT A34005 2384 15 same same JJ A34005 2384 16 arkes arke NNS A34005 2384 17 serve serve VBP A34005 2384 18 , , , A34005 2384 19 if if IN A34005 2384 20 the the DT A34005 2384 21 account account NN A34005 2384 22 be be VB A34005 2384 23 but but CC A34005 2384 24 made make VBD A34005 2384 25 the the DT A34005 2384 26 other other JJ A34005 2384 27 way way NN A34005 2384 28 , , , A34005 2384 29 and and CC A34005 2384 30 in in IN A34005 2384 31 accounting account VBG A34005 2384 32 the the DT A34005 2384 33 summe summe NN A34005 2384 34 the the DT A34005 2384 35 ruler ruler NN A34005 2384 36 laid lay VBN A34005 2384 37 over over IN A34005 2384 38 B. B. NNP A34005 2384 39 in in IN A34005 2384 40 the the DT A34005 2384 41 lower low JJR A34005 2384 42 line line NN A34005 2384 43 instead instead RB A34005 2384 44 of of IN A34005 2384 45 A a NN A34005 2384 46 , , , A34005 2384 47 and and CC A34005 2384 48 in in IN A34005 2384 49 counting count VBG A34005 2384 50 the the DT A34005 2384 51 difference difference NN A34005 2384 52 over over IN A34005 2384 53 A a DT A34005 2384 54 , , , A34005 2384 55 instead instead RB A34005 2384 56 of of IN A34005 2384 57 B b NN A34005 2384 58 , , , A34005 2384 59 neither neither CC A34005 2384 60 is be VBZ A34005 2384 61 there there EX A34005 2384 62 any any DT A34005 2384 63 Scheme Scheme NNP A34005 2384 64 given give VBN A34005 2384 65 hereof hereof NN A34005 2384 66 , , , A34005 2384 67 the the DT A34005 2384 68 Practitioner Practitioner NNP A34005 2384 69 need need VBP A34005 2384 70 onely onely RB A34005 2384 71 let let VB A34005 2384 72 the the DT A34005 2384 73 upper upper JJ A34005 2384 74 line line NN A34005 2384 75 be be VB A34005 2384 76 the the DT A34005 2384 77 line line NN A34005 2384 78 of of IN A34005 2384 79 altitudes altitude NNS A34005 2384 80 on on IN A34005 2384 81 the the DT A34005 2384 82 left left JJ A34005 2384 83 edge edge NN A34005 2384 84 of of IN A34005 2384 85 the the DT A34005 2384 86 quadrant quadrant NN A34005 2384 87 continued continue VBD A34005 2384 88 out out RP A34005 2384 89 to to TO A34005 2384 90 90 90 CD A34005 2384 91 deg deg NN A34005 2384 92 . . . A34005 2385 1 at at IN A34005 2385 2 each each DT A34005 2385 3 end end NN A34005 2385 4 , , , A34005 2385 5 and and CC A34005 2385 6 to to IN A34005 2385 7 that that DT A34005 2385 8 end end NN A34005 2385 9 next next IN A34005 2385 10 the the DT A34005 2385 11 Center Center NNP A34005 2385 12 set set NN A34005 2385 13 C C NNP A34005 2385 14 , , , A34005 2385 15 and and CC A34005 2385 16 to to IN A34005 2385 17 the the DT A34005 2385 18 other other JJ A34005 2385 19 end end NN A34005 2385 20 D. D. NNP A34005 2385 21 So so RB A34005 2385 22 likewise likewise RB A34005 2385 23 let let VB A34005 2385 24 that that DT A34005 2385 25 end end NN A34005 2385 26 of of IN A34005 2385 27 the the DT A34005 2385 28 Versed Versed NNP A34005 2385 29 Scale Scale NNP A34005 2385 30 next next IN A34005 2385 31 the the DT A34005 2385 32 right right JJ A34005 2385 33 edge edge NN A34005 2385 34 of of IN A34005 2385 35 the the DT A34005 2385 36 quadrant quadrant NN A34005 2385 37 be be VB A34005 2385 38 continued continue VBN A34005 2385 39 to to IN A34005 2385 40 180 180 CD A34005 2385 41 deg deg NN A34005 2385 42 . . . A34005 2386 1 whereto whereto NNP A34005 2386 2 set set VBD A34005 2386 3 A A NNP A34005 2386 4 , , , A34005 2386 5 and and CC A34005 2386 6 at at IN A34005 2386 7 the the DT A34005 2386 8 other other JJ A34005 2386 9 end end NN A34005 2386 10 B B NNP A34005 2386 11 , , , A34005 2386 12 and and CC A34005 2386 13 then then RB A34005 2386 14 if if IN A34005 2386 15 these these DT A34005 2386 16 directions direction NNS A34005 2386 17 be be VB A34005 2386 18 observed observe VBN A34005 2386 19 , , , A34005 2386 20 and and CC A34005 2386 21 the the DT A34005 2386 22 same same JJ A34005 2386 23 distance distance NN A34005 2386 24 and and CC A34005 2386 25 position position NN A34005 2386 26 of of IN A34005 2386 27 the the DT A34005 2386 28 lines line NNS A34005 2386 29 retained retain VBD A34005 2386 30 , , , A34005 2386 31 it -PRON- PRP A34005 2386 32 will will MD A34005 2386 33 not not RB A34005 2386 34 be be VB A34005 2386 35 difficult difficult JJ A34005 2386 36 to to TO A34005 2386 37 constitute constitute VB A34005 2386 38 a a DT A34005 2386 39 Curve curve NN A34005 2386 40 in in IN A34005 2386 41 all all DT A34005 2386 42 respects respect NNS A34005 2386 43 agreeing agree VBG A34005 2386 44 with with IN A34005 2386 45 that that DT A34005 2386 46 on on IN A34005 2386 47 the the DT A34005 2386 48 fore fore NN A34005 2386 49 - - HYPH A34005 2386 50 side side NN A34005 2386 51 of of IN A34005 2386 52 the the DT A34005 2386 53 quadrant quadrant NN A34005 2386 54 . . . A34005 2387 1 Of of IN A34005 2387 2 the the DT A34005 2387 3 houre houre NN A34005 2387 4 and and CC A34005 2387 5 Azimuth Azimuth NNP A34005 2387 6 Scale Scale NNP A34005 2387 7 on on IN A34005 2387 8 the the DT A34005 2387 9 right right JJ A34005 2387 10 edge edge NN A34005 2387 11 of of IN A34005 2387 12 the the DT A34005 2387 13 Quadrant Quadrant NNP A34005 2387 14 . . . A34005 2388 1 THis this DT A34005 2388 2 Scale scale NN A34005 2388 3 stands stand VBZ A34005 2388 4 outwardmost outwardmost NN A34005 2388 5 on on IN A34005 2388 6 the the DT A34005 2388 7 right right JJ A34005 2388 8 edge edge NN A34005 2388 9 of of IN A34005 2388 10 the the DT A34005 2388 11 quadrant quadrant NN A34005 2388 12 , , , A34005 2388 13 and and CC A34005 2388 14 consists consist VBZ A34005 2388 15 of of IN A34005 2388 16 two two CD A34005 2388 17 lines line NNS A34005 2388 18 , , , A34005 2388 19 the the DT A34005 2388 20 one one NN A34005 2388 21 a a DT A34005 2388 22 line line NN A34005 2388 23 of of IN A34005 2388 24 90 90 CD A34005 2388 25 sines sine NNS A34005 2388 26 made make VBN A34005 2388 27 equal equal JJ A34005 2388 28 to to IN A34005 2388 29 the the DT A34005 2388 30 cosine cosine NN A34005 2388 31 of of IN A34005 2388 32 the the DT A34005 2388 33 Latitude Latitude NNP A34005 2388 34 , , , A34005 2388 35 namely namely RB A34005 2388 36 , , , A34005 2388 37 to to IN A34005 2388 38 the the DT A34005 2388 39 sine sine NN A34005 2388 40 of of IN A34005 2388 41 38 38 CD A34005 2388 42 deg deg NN A34005 2388 43 . . . A34005 2389 1 28′ 28′ CD A34005 2389 2 , , , A34005 2389 3 and and CC A34005 2389 4 continued continue VBD A34005 2389 5 the the DT A34005 2389 6 other other JJ A34005 2389 7 way way NN A34005 2389 8 to to IN A34005 2389 9 40 40 CD A34005 2389 10 deg deg NN A34005 2389 11 . . . A34005 2390 1 like like IN A34005 2390 2 a a DT A34005 2390 3 Versed versed JJ A34005 2390 4 sine sine NN A34005 2390 5 . . . A34005 2391 1 The the DT A34005 2391 2 annexed annexed JJ A34005 2391 3 line line NN A34005 2391 4 being be VBG A34005 2391 5 the the DT A34005 2391 6 other other JJ A34005 2391 7 part part NN A34005 2391 8 of of IN A34005 2391 9 this this DT A34005 2391 10 Scale Scale NNP A34005 2391 11 , , , A34005 2391 12 is be VBZ A34005 2391 13 a a DT A34005 2391 14 line line NN A34005 2391 15 of of IN A34005 2391 16 natural natural JJ A34005 2391 17 Tangents tangent NNS A34005 2391 18 beginning begin VBG A34005 2391 19 where where WRB A34005 2391 20 the the DT A34005 2391 21 former former JJ A34005 2391 22 sine sine NN A34005 2391 23 began begin VBD A34005 2391 24 , , , A34005 2391 25 the the DT A34005 2391 26 Tangent Tangent NNP A34005 2391 27 of of IN A34005 2391 28 38 38 CD A34005 2391 29 deg deg NN A34005 2391 30 . . . A34005 2392 1 28′ 28′ CD A34005 2392 2 being be VBG A34005 2392 3 made make VBN A34005 2392 4 equal equal JJ A34005 2392 5 to to IN A34005 2392 6 the the DT A34005 2392 7 sine sine NN A34005 2392 8 of of IN A34005 2392 9 90 90 CD A34005 2392 10 deg deg NN A34005 2392 11 . . . A34005 2393 1 this this DT A34005 2393 2 Tangent Tangent NNP A34005 2393 3 is be VBZ A34005 2393 4 continued continue VBN A34005 2393 5 each each DT A34005 2393 6 way way NN A34005 2393 7 with with IN A34005 2393 8 the the DT A34005 2393 9 sine sine NN A34005 2393 10 ; ; : A34005 2393 11 towards towards IN A34005 2393 12 the the DT A34005 2393 13 Limbe Limbe NNP A34005 2393 14 of of IN A34005 2393 15 the the DT A34005 2393 16 quadrant quadrant NN A34005 2393 17 it -PRON- PRP A34005 2393 18 should should MD A34005 2393 19 have have VB A34005 2393 20 been be VBN A34005 2393 21 continued continue VBN A34005 2393 22 to to IN A34005 2393 23 62 62 CD A34005 2393 24 deg deg NN A34005 2393 25 . . . A34005 2394 1 but but CC A34005 2394 2 that that DT A34005 2394 3 could could MD A34005 2394 4 not not RB A34005 2394 5 be be VB A34005 2394 6 without without IN A34005 2394 7 excursion excursion NN A34005 2394 8 , , , A34005 2394 9 wherefore wherefore VBD A34005 2394 10 it -PRON- PRP A34005 2394 11 is be VBZ A34005 2394 12 broken break VBN A34005 2394 13 off off RP A34005 2394 14 at at IN A34005 2394 15 40 40 CD A34005 2394 16 degrees degree NNS A34005 2394 17 , , , A34005 2394 18 and and CC A34005 2394 19 the the DT A34005 2394 20 residue residue NN A34005 2394 21 of of IN A34005 2394 22 it -PRON- PRP A34005 2394 23 graduated graduate VBD A34005 2394 24 below below RB A34005 2394 25 , , , A34005 2394 26 and and CC A34005 2394 27 next next RB A34005 2394 28 under under IN A34005 2394 29 the the DT A34005 2394 30 Versed versed JJ A34005 2394 31 sine sine NN A34005 2394 32 belonging belong VBG A34005 2394 33 to to IN A34005 2394 34 the the DT A34005 2394 35 Curve curve NN A34005 2394 36 that that WDT A34005 2394 37 runnes runne VBZ A34005 2394 38 crosse crosse VBP A34005 2394 39 the the DT A34005 2394 40 quadrant quadrant NN A34005 2394 41 being be VBG A34005 2394 42 continued continue VBN A34005 2394 43 but but CC A34005 2394 44 to to TO A34005 2394 45 halfe halfe VB A34005 2394 46 the the DT A34005 2394 47 former former JJ A34005 2394 48 Radius Radius NNP A34005 2394 49 . . . A34005 2395 1 Of of IN A34005 2395 2 the the DT A34005 2395 3 Almanack Almanack NNP A34005 2395 4 . . . A34005 2396 1 NExt next RB A34005 2396 2 below below IN A34005 2396 3 the the DT A34005 2396 4 former former JJ A34005 2396 5 line line NN A34005 2396 6 stands stand VBZ A34005 2396 7 the the DT A34005 2396 8 Almanack Almanack NNP A34005 2396 9 in in IN A34005 2396 10 a a DT A34005 2396 11 regular regular JJ A34005 2396 12 ob ob JJ A34005 2396 13 - - HYPH A34005 2396 14 long long RB A34005 2396 15 with with IN A34005 2396 16 moneths moneth NNS A34005 2396 17 names name NNS A34005 2396 18 graved grave VBN A34005 2396 19 on on IN A34005 2396 20 each each DT A34005 2396 21 side side NN A34005 2396 22 of of IN A34005 2396 23 it -PRON- PRP A34005 2396 24 . . . A34005 2397 1 Below below IN A34005 2397 2 the the DT A34005 2397 3 Almanack Almanack NNP A34005 2397 4 stands stand VBZ A34005 2397 5 the the DT A34005 2397 6 quadrat quadrat NN A34005 2397 7 ● ● NFP A34005 2397 8 , , , A34005 2397 9 and and CC A34005 2397 10 shadowes shadowes NNP A34005 2397 11 in in IN A34005 2397 12 two two CD A34005 2397 13 Arkes arke NNS A34005 2397 14 of of IN A34005 2397 15 circles circle NNS A34005 2397 16 terminating terminate VBG A34005 2397 17 against against IN A34005 2397 18 45 45 CD A34005 2397 19 deg deg NN A34005 2397 20 . . . A34005 2398 1 of of IN A34005 2398 2 the the DT A34005 2398 3 Limbe Limbe NNP A34005 2398 4 , , , A34005 2398 5 below below IN A34005 2398 6 them -PRON- PRP A34005 2398 7 a a DT A34005 2398 8 line line NN A34005 2398 9 of of IN A34005 2398 10 90 90 CD A34005 2398 11 sines sine NNS A34005 2398 12 in in IN A34005 2398 13 a a DT A34005 2398 14 Circle Circle NNP A34005 2398 15 equal equal JJ A34005 2398 16 to to IN A34005 2398 17 51 51 CD A34005 2398 18 deg deg NN A34005 2398 19 . . . A34005 2399 1 32′ 32′ CD A34005 2399 2 of of IN A34005 2399 3 the the DT A34005 2399 4 Limbe Limbe NNP A34005 2399 5 broken break VBN A34005 2399 6 off off RP A34005 2399 7 below below IN A34005 2399 8 the the DT A34005 2399 9 streight streight JJ A34005 2399 10 line line NN A34005 2399 11 , , , A34005 2399 12 and and CC A34005 2399 13 the the DT A34005 2399 14 rest rest NN A34005 2399 15 continued continue VBN A34005 2399 16 above above IN A34005 2399 17 it -PRON- PRP A34005 2399 18 . . . A34005 2400 1 Below below IN A34005 2400 2 these these DT A34005 2400 3 are be VBP A34005 2400 4 put put VBN A34005 2400 5 on on RP A34005 2400 6 in in IN A34005 2400 7 Circles Circles NNP A34005 2400 8 a a DT A34005 2400 9 line line NN A34005 2400 10 of of IN A34005 2400 11 Tangents tangent NNS A34005 2400 12 to to IN A34005 2400 13 60 60 CD A34005 2400 14 degrees degree NNS A34005 2400 15 . . . A34005 2401 1 Also also RB A34005 2401 2 a a DT A34005 2401 3 line line NN A34005 2401 4 of of IN A34005 2401 5 Secants secant NNS A34005 2401 6 to to TO A34005 2401 7 60 60 CD A34005 2401 8 deg deg NN A34005 2401 9 . . . A34005 2402 1 with with IN A34005 2402 2 a a DT A34005 2402 3 line line NN A34005 2402 4 of of IN A34005 2402 5 lesser less JJR A34005 2402 6 sines sine NNS A34005 2402 7 ending end VBG A34005 2402 8 against against IN A34005 2402 9 30 30 CD A34005 2402 10 deg deg NN A34005 2402 11 . . . A34005 2403 1 of of IN A34005 2403 2 the the DT A34005 2403 3 Limbe Limbe NNP A34005 2403 4 ( ( -LRB- A34005 2403 5 counted count VBN A34005 2403 6 from from IN A34005 2403 7 the the DT A34005 2403 8 right right JJ A34005 2403 9 edge edge NN A34005 2403 10 ) ) -RRB- A34005 2403 11 where where WRB A34005 2403 12 the the DT A34005 2403 13 graduations graduation NNS A34005 2403 14 of of IN A34005 2403 15 the the DT A34005 2403 16 Secant Secant NNP A34005 2403 17 begins begin VBZ A34005 2403 18 . . . A34005 2404 1 Last last JJ A34005 2404 2 of of IN A34005 2404 3 all all PDT A34005 2404 4 the the DT A34005 2404 5 equal equal JJ A34005 2404 6 Limbe Limbe NNP A34005 2404 7 . . . A34005 2405 1 Prickt Prickt NNS A34005 2405 2 with with IN A34005 2405 3 the the DT A34005 2405 4 pricks prick NNS A34005 2405 5 of of IN A34005 2405 6 the the DT A34005 2405 7 quadrat quadrat NN A34005 2405 8 . . . A34005 2406 1 Abutting abut VBG A34005 2406 2 upon upon IN A34005 2406 3 the the DT A34005 2406 4 line line NN A34005 2406 5 of of IN A34005 2406 6 sines sine NNS A34005 2406 7 , , , A34005 2406 8 and and CC A34005 2406 9 within within IN A34005 2406 10 the the DT A34005 2406 11 Projection Projection NNP A34005 2406 12 stands stand VBZ A34005 2406 13 a a DT A34005 2406 14 portion portion NN A34005 2406 15 of of IN A34005 2406 16 a a DT A34005 2406 17 small small JJ A34005 2406 18 sine sine NN A34005 2406 19 numbred numbre VBN A34005 2406 20 with with IN A34005 2406 21 its -PRON- PRP$ A34005 2406 22 Complements Complements NNP A34005 2406 23 beginning begin VBG A34005 2406 24 against against IN A34005 2406 25 38 38 CD A34005 2406 26 deg deg NN A34005 2406 27 . . . A34005 2407 1 28′ 28′ CD A34005 2407 2 of of IN A34005 2407 3 the the DT A34005 2407 4 line line NN A34005 2407 5 of of IN A34005 2407 6 sines sine NNS A34005 2407 7 , , , A34005 2407 8 this this DT A34005 2407 9 Scale Scale NNP A34005 2407 10 is be VBZ A34005 2407 11 called call VBN A34005 2407 12 the the DT A34005 2407 13 Scale Scale NNP A34005 2407 14 of of IN A34005 2407 15 entrance entrance NN A34005 2407 16 . . . A34005 2408 1 Upon upon IN A34005 2408 2 the the DT A34005 2408 3 Projection projection NN A34005 2408 4 are be VBP A34005 2408 5 placed place VBN A34005 2408 6 divers diver NNS A34005 2408 7 Stars Stars NNPS A34005 2408 8 , , , A34005 2408 9 how how WRB A34005 2408 10 they -PRON- PRP A34005 2408 11 are be VBP A34005 2408 12 inscribed inscribe VBN A34005 2408 13 shall shall MD A34005 2408 14 be be VB A34005 2408 15 afterwards afterwards RB A34005 2408 16 shewne shewne NN A34005 2408 17 . . . A34005 2409 1 The the DT A34005 2409 2 description description NN A34005 2409 3 of of IN A34005 2409 4 the the DT A34005 2409 5 Back back JJ A34005 2409 6 - - HYPH A34005 2409 7 side side NN A34005 2409 8 . . . A34005 2410 1 Put put VB A34005 2410 2 on on RP A34005 2410 3 in in IN A34005 2410 4 quarters quarter NNS A34005 2410 5 or or CC A34005 2410 6 Quadrants Quadrants NNPS A34005 2410 7 of of IN A34005 2410 8 Circles Circles NNP A34005 2410 9 . . . A34005 2411 1 1 1 CD A34005 2411 2 THe the DT A34005 2411 3 equal equal JJ A34005 2411 4 Limbe Limbe NNP A34005 2411 5 divided divide VBN A34005 2411 6 into into IN A34005 2411 7 degrees degree NNS A34005 2411 8 , , , A34005 2411 9 as as IN A34005 2411 10 also also RB A34005 2411 11 into into IN A34005 2411 12 houres houre NNS A34005 2411 13 and and CC A34005 2411 14 halves half NNS A34005 2411 15 , , , A34005 2411 16 and and CC A34005 2411 17 the the DT A34005 2411 18 quarters quarter NNS A34005 2411 19 prickt prickt NNS A34005 2411 20 to to TO A34005 2411 21 serve serve VB A34005 2411 22 for for IN A34005 2411 23 a a DT A34005 2411 24 Nocturnal Nocturnal NNP A34005 2411 25 . . . A34005 2412 1 2 2 LS A34005 2412 2 A a DT A34005 2412 3 line line NN A34005 2412 4 of of IN A34005 2412 5 Equal equal JJ A34005 2412 6 parts part NNS A34005 2412 7 . . . A34005 2413 1 3 3 LS A34005 2413 2 A a DT A34005 2413 3 line line NN A34005 2413 4 of of IN A34005 2413 5 Superficies Superficies NNPS A34005 2413 6 or or CC A34005 2413 7 Squares Squares NNPS A34005 2413 8 . . . A34005 2414 1 4 4 LS A34005 2414 2 A a DT A34005 2414 3 line line NN A34005 2414 4 of of IN A34005 2414 5 Solids solid NNS A34005 2414 6 or or CC A34005 2414 7 Cubes Cubes NNPS A34005 2414 8 . . . A34005 2415 1 5 5 CD A34005 2415 2 A a DT A34005 2415 3 Tangent Tangent NNP A34005 2415 4 of of IN A34005 2415 5 45 45 CD A34005 2415 6 degrees degree NNS A34005 2415 7 double double JJ A34005 2415 8 divided divide VBN A34005 2415 9 to to TO A34005 2415 10 serve serve VB A34005 2415 11 for for IN A34005 2415 12 a a DT A34005 2415 13 Dyalling dyalle VBG A34005 2415 14 Tangent Tangent NNP A34005 2415 15 , , , A34005 2415 16 and and CC A34005 2415 17 a a DT A34005 2415 18 Semitangent Semitangent NNP A34005 2415 19 for for IN A34005 2415 20 projections projection NNS A34005 2415 21 . . . A34005 2416 1 6 6 CD A34005 2416 2 The the DT A34005 2416 3 line line NN A34005 2416 4 Sol Sol NNP A34005 2416 5 , , , A34005 2416 6 aliàs aliàs VB A34005 2416 7 a a DT A34005 2416 8 line line NN A34005 2416 9 of of IN A34005 2416 10 Proportional Proportional NNP A34005 2416 11 Sines Sines NNPS A34005 2416 12 . . . A34005 2417 1 7 7 CD A34005 2417 2 A a DT A34005 2417 3 Tangent Tangent NNP A34005 2417 4 of of IN A34005 2417 5 51 51 CD A34005 2417 6 degrees degree NNS A34005 2417 7 32′ 32′ CD A34005 2417 8 through through IN A34005 2417 9 the the DT A34005 2417 10 whole whole JJ A34005 2417 11 Limbe Limbe NNP A34005 2417 12 . . . A34005 2418 1 8 8 CD A34005 2418 2 A a DT A34005 2418 3 line line NN A34005 2418 4 of of IN A34005 2418 5 Declinations declination NNS A34005 2418 6 for for IN A34005 2418 7 the the DT A34005 2418 8 Sun Sun NNP A34005 2418 9 to to IN A34005 2418 10 23 23 CD A34005 2418 11 deg deg NN A34005 2418 12 . . . A34005 2419 1 31′ 31′ LS A34005 2419 2 . . . A34005 2420 1 Foure foure NN A34005 2420 2 quadrants quadrant VBZ A34005 2420 3 with with IN A34005 2420 4 the the DT A34005 2420 5 days day NNS A34005 2420 6 of of IN A34005 2420 7 the the DT A34005 2420 8 Moneth Moneth NNP A34005 2420 9 . . . A34005 2421 1 9 9 CD A34005 2421 2 10 10 CD A34005 2421 3 11 11 CD A34005 2421 4 12 12 CD A34005 2421 5 13 13 CD A34005 2421 6 The the DT A34005 2421 7 Suns Suns NNPS A34005 2421 8 true true JJ A34005 2421 9 place place NN A34005 2421 10 , , , A34005 2421 11 with with IN A34005 2421 12 the the DT A34005 2421 13 Charecters Charecters NNPS A34005 2421 14 of of IN A34005 2421 15 the the DT A34005 2421 16 12 12 CD A34005 2421 17 Seignes Seignes NNPS A34005 2421 18 . . . A34005 2422 1 14 14 CD A34005 2422 2 The the DT A34005 2422 3 line line NN A34005 2422 4 of of IN A34005 2422 5 Segments Segments NNPS A34005 2422 6 , , , A34005 2422 7 with with IN A34005 2422 8 a a DT A34005 2422 9 Chord Chord NNP A34005 2422 10 before before IN A34005 2422 11 they -PRON- PRP A34005 2422 12 begin begin VBP A34005 2422 13 . . . A34005 2423 1 15 15 CD A34005 2423 2 The the DT A34005 2423 3 line line NN A34005 2423 4 of of IN A34005 2423 5 Metals Metals NNPS A34005 2423 6 and and CC A34005 2423 7 Equated equated JJ A34005 2423 8 bodies body NNS A34005 2423 9 . . . A34005 2424 1 16 16 CD A34005 2424 2 The the DT A34005 2424 3 line line NN A34005 2424 4 of of IN A34005 2424 5 Quadrature quadrature NN A34005 2424 6 . . . A34005 2425 1 17 17 CD A34005 2425 2 The the DT A34005 2425 3 line line NN A34005 2425 4 of of IN A34005 2425 5 Inscribed inscribed JJ A34005 2425 6 bodies body NNS A34005 2425 7 . . . A34005 2426 1 18 18 CD A34005 2426 2 A a DT A34005 2426 3 line line NN A34005 2426 4 of of IN A34005 2426 5 12 12 CD A34005 2426 6 houres houre NNS A34005 2426 7 of of IN A34005 2426 8 Ascension ascension NN A34005 2426 9 with with IN A34005 2426 10 Stars Stars NNPS A34005 2426 11 names name NNS A34005 2426 12 , , , A34005 2426 13 Declinations declination NNS A34005 2426 14 , , , A34005 2426 15 and and CC A34005 2426 16 Ascensional ascensional JJ A34005 2426 17 differences difference NNS A34005 2426 18 . . . A34005 2427 1 Above above IN A34005 2427 2 all all PDT A34005 2427 3 these these DT A34005 2427 4 a a DT A34005 2427 5 Table table NN A34005 2427 6 to to TO A34005 2427 7 know know VB A34005 2427 8 the the DT A34005 2427 9 Epact Epact NNP A34005 2427 10 , , , A34005 2427 11 and and CC A34005 2427 12 what what WP A34005 2427 13 day day NN A34005 2427 14 of of IN A34005 2427 15 the the DT A34005 2427 16 Weeke Weeke NNP A34005 2427 17 , , , A34005 2427 18 the the DT A34005 2427 19 first first JJ A34005 2427 20 day day NN A34005 2427 21 of of IN A34005 2427 22 March March NNP A34005 2427 23 , , , A34005 2427 24 hapned hapne VBN A34005 2427 25 upon upon IN A34005 2427 26 , , , A34005 2427 27 by by IN A34005 2427 28 Inspection Inspection NNP A34005 2427 29 continued continue VBD A34005 2427 30 to to IN A34005 2427 31 the the DT A34005 2427 32 yeare yeare NN A34005 2427 33 1700 1700 CD A34005 2427 34 . . . A34005 2428 1 All all PDT A34005 2428 2 these these DT A34005 2428 3 between between IN A34005 2428 4 the the DT A34005 2428 5 Limbe Limbe NNP A34005 2428 6 and and CC A34005 2428 7 the the DT A34005 2428 8 Center Center NNP A34005 2428 9 . . . A34005 2429 1 ON on IN A34005 2429 2 the the DT A34005 2429 3 right right JJ A34005 2429 4 edge edge NN A34005 2429 5 a a DT A34005 2429 6 line line NN A34005 2429 7 of of IN A34005 2429 8 equal equal JJ A34005 2429 9 parts part NNS A34005 2429 10 from from IN A34005 2429 11 the the DT A34005 2429 12 Center Center NNP A34005 2429 13 decimally decimally RB A34005 2429 14 sub sub RB A34005 2429 15 - - HYPH A34005 2429 16 divided divided JJ A34005 2429 17 , , , A34005 2429 18 being be VBG A34005 2429 19 a a DT A34005 2429 20 line line NN A34005 2429 21 of of IN A34005 2429 22 10 10 CD A34005 2429 23 inches inch NNS A34005 2429 24 ; ; : A34005 2429 25 also also RB A34005 2429 26 a a DT A34005 2429 27 Dyalling dyalle VBG A34005 2429 28 Tangent Tangent NNP A34005 2429 29 or or CC A34005 2429 30 Scale Scale NNP A34005 2429 31 of of IN A34005 2429 32 6 6 CD A34005 2429 33 houres houre NNS A34005 2429 34 , , , A34005 2429 35 the the DT A34005 2429 36 whole whole JJ A34005 2429 37 length length NN A34005 2429 38 of of IN A34005 2429 39 the the DT A34005 2429 40 quadrant quadrant NN A34005 2429 41 not not RB A34005 2429 42 issuing issue VBG A34005 2429 43 from from IN A34005 2429 44 the the DT A34005 2429 45 Center Center NNP A34005 2429 46 . . . A34005 2430 1 On on IN A34005 2430 2 the the DT A34005 2430 3 left left JJ A34005 2430 4 edge edge NN A34005 2430 5 a a DT A34005 2430 6 Tangent Tangent NNP A34005 2430 7 of of IN A34005 2430 8 63 63 CD A34005 2430 9 deg deg NN A34005 2430 10 . . . A34005 2431 1 26′ 26′ CD A34005 2431 2 from from IN A34005 2431 3 the the DT A34005 2431 4 Center Center NNP A34005 2431 5 . . . A34005 2432 1 Also also RB A34005 2432 2 a a DT A34005 2432 3 Scale scale NN A34005 2432 4 of of IN A34005 2432 5 Latitudes Latitudes NNPS A34005 2432 6 fitted fit VBD A34005 2432 7 to to IN A34005 2432 8 the the DT A34005 2432 9 former former JJ A34005 2432 10 Scale Scale NNP A34005 2432 11 of of IN A34005 2432 12 houres houre NNS A34005 2432 13 not not RB A34005 2432 14 issuing issue VBG A34005 2432 15 from from IN A34005 2432 16 the the DT A34005 2432 17 Center Center NNP A34005 2432 18 , , , A34005 2432 19 and and CC A34005 2432 20 below below IN A34005 2432 21 it -PRON- PRP A34005 2432 22 a a DT A34005 2432 23 small small JJ A34005 2432 24 Chord Chord NNP A34005 2432 25 . . . A34005 2433 1 The the DT A34005 2433 2 Vses Vses NNPS A34005 2433 3 of of IN A34005 2433 4 the the DT A34005 2433 5 Quadrant Quadrant NNP A34005 2433 6 . . . A34005 2434 1 Lords Lords NNP A34005 2434 2 - - HYPH A34005 2434 3 day day NN A34005 2434 4 1657 1657 CD A34005 2434 5 63 63 CD A34005 2434 6 68 68 CD A34005 2434 7 74 74 CD A34005 2434 8 ☉ ☉ CD A34005 2434 9 85 85 CD A34005 2434 10 91 91 CD A34005 2434 11 96 96 CD A34005 2434 12 anno anno NN A34005 2434 13 25 25 CD A34005 2434 14 1 1 CD A34005 2434 15 26 26 CD A34005 2434 16 3 3 CD A34005 2434 17     _SP A34005 2434 18 4 4 CD A34005 2434 19 11 11 CD A34005 2434 20 6 6 CD A34005 2434 21 epact epact NN A34005 2434 22 Monday Monday NNP A34005 2434 23 58 58 CD A34005 2434 24 ☽ ☽ NNP A34005 2434 25 69 69 CD A34005 2434 26 75 75 CD A34005 2434 27 80 80 CD A34005 2434 28 86 86 CD A34005 2434 29 ☽ ☽ NN A34005 2434 30 97 97 CD A34005 2434 31 anno anno NN A34005 2434 32 6 6 CD A34005 2434 33     _SP A34005 2434 34 7 7 CD A34005 2434 35 14 14 CD A34005 2434 36 9 9 CD A34005 2434 37 15 15 CD A34005 2434 38     _SP A34005 2434 39 17 17 CD A34005 2434 40 epact epact NN A34005 2434 41 Tuesday Tuesday NNP A34005 2434 42 59 59 CD A34005 2434 43 64 64 CD A34005 2434 44 70 70 CD A34005 2434 45 ♂ ♂ CD A34005 2434 46 81 81 CD A34005 2434 47 87 87 CD A34005 2434 48 92 92 CD A34005 2434 49 98 98 CD A34005 2434 50 anno anno NN A34005 2434 51 17 17 CD A34005 2434 52 12 12 CD A34005 2434 53 18 18 CD A34005 2434 54     _SP A34005 2434 55 20 20 CD A34005 2434 56 26 26 CD A34005 2434 57 22 22 CD A34005 2434 58 28 28 CD A34005 2434 59 epact epact NN A34005 2434 60 Wenesday Wenesday NNP A34005 2434 61 ☿ ☿ NNP A34005 2434 62 65 65 CD A34005 2434 63 71 71 CD A34005 2434 64 76 76 CD A34005 2434 65 82 82 CD A34005 2434 66 ☿ ☿ CD A34005 2434 67 93 93 CD A34005 2434 68 99 99 CD A34005 2434 69 anno anno NN A34005 2434 70     _SP A34005 2434 71 23 23 CD A34005 2434 72 29 29 CD A34005 2434 73 25 25 CD A34005 2434 74 1 1 CD A34005 2434 75     _SP A34005 2434 76 3 3 CD A34005 2434 77 9 9 CD A34005 2434 78 epact epact NN A34005 2434 79 Thursday Thursday NNP A34005 2434 80 60 60 CD A34005 2434 81 66 66 CD A34005 2434 82 ♃ ♃ CD A34005 2434 83 77 77 CD A34005 2434 84 83 83 CD A34005 2434 85 88 88 CD A34005 2434 86 94 94 CD A34005 2434 87 ♃ ♃ CD A34005 2434 88 anno anno NN A34005 2434 89 28 28 CD A34005 2434 90 4 4 CD A34005 2434 91     _SP A34005 2434 92 6 6 CD A34005 2434 93 12 12 CD A34005 2434 94 7 7 CD A34005 2434 95 14 14 CD A34005 2434 96     _SP A34005 2434 97 epact epact NN A34005 2434 98 Friday Friday NNP A34005 2434 99 61 61 CD A34005 2434 100 67 67 CD A34005 2434 101 72 72 CD A34005 2434 102 78 78 CD A34005 2434 103 ♀ ♀ RB A34005 2434 104 89 89 CD A34005 2434 105 95 95 CD A34005 2434 106 700 700 CD A34005 2434 107 anno anno JJ A34005 2434 108 9 9 CD A34005 2434 109 15 15 CD A34005 2434 110 11 11 CD A34005 2434 111 17 17 CD A34005 2434 112     _SP A34005 2434 113 18 18 CD A34005 2434 114 25 25 CD A34005 2434 115 20 20 CD A34005 2434 116 epact epact NN A34005 2434 117 Saturday Saturday NNP A34005 2434 118 62 62 CD A34005 2434 119 ♄ ♄ ADD A34005 2434 120 73 73 CD A34005 2434 121 79 79 CD A34005 2434 122 84 84 CD A34005 2434 123 90 90 CD A34005 2434 124 ♄ ♄ CD A34005 2434 125 701 701 CD A34005 2434 126 anno anno JJ A34005 2434 127 20 20 CD A34005 2434 128     _SP A34005 2434 129 22 22 CD A34005 2434 130 28 28 CD A34005 2434 131 23 23 CD A34005 2434 132 29 29 CD A34005 2434 133     _SP A34005 2434 134 1 1 CD A34005 2434 135 epact epact NN A34005 2434 136 Dayes Dayes NNP A34005 2434 137 the the DT A34005 2434 138 same same JJ A34005 2434 139 as as IN A34005 2434 140 the the DT A34005 2434 141 first first JJ A34005 2434 142 of of IN A34005 2434 143 March March NNP A34005 2434 144 . . . A34005 2435 1 March March NNP A34005 2435 2 1 1 CD A34005 2435 3 8 8 CD A34005 2435 4 15 15 CD A34005 2435 5 22 22 CD A34005 2435 6 29 29 CD A34005 2435 7 November November NNP A34005 2435 8 August August NNP A34005 2435 9 2 2 CD A34005 2435 10 9 9 CD A34005 2435 11 16 16 CD A34005 2435 12 23 23 CD A34005 2435 13 30 30 CD A34005 2435 14 August August NNP A34005 2435 15 May May NNP A34005 2435 16 3 3 CD A34005 2435 17 10 10 CD A34005 2435 18 17 17 CD A34005 2435 19 24 24 CD A34005 2435 20 31 31 CD A34005 2435 21 Jnuary Jnuary NNP A34005 2435 22 October October NNP A34005 2435 23 4 4 CD A34005 2435 24 11 11 CD A34005 2435 25 18 18 CD A34005 2435 26 25 25 CD A34005 2435 27 0 0 CD A34005 2435 28 October October NNP A34005 2435 29 April April NNP A34005 2435 30 5 5 CD A34005 2435 31 12 12 CD A34005 2435 32 19 19 CD A34005 2435 33 26 26 CD A34005 2435 34 00 00 NFP A34005 2435 35 July July NNP A34005 2435 36 Septem Septem NNP A34005 2435 37 . . . A34005 2436 1 6 6 CD A34005 2436 2 13 13 CD A34005 2436 3 20 20 CD A34005 2436 4 27 27 CD A34005 2436 5 00 00 CD A34005 2436 6 December December NNP A34005 2436 7 June June NNP A34005 2436 8 7 7 CD A34005 2436 9 14 14 CD A34005 2436 10 21 21 CD A34005 2436 11 28 28 CD A34005 2436 12 00 00 CD A34005 2436 13 February February NNP A34005 2436 14 Perpetual Perpetual NNP A34005 2436 15 Almanack Almanack NNP A34005 2436 16 . . . A34005 2437 1 Of of IN A34005 2437 2 the the DT A34005 2437 3 Vses Vses NNPS A34005 2437 4 of of IN A34005 2437 5 the the DT A34005 2437 6 Projection Projection NNP A34005 2437 7 . . . A34005 2438 1 BEfore before IN A34005 2438 2 this this DT A34005 2438 3 Projection projection NN A34005 2438 4 can can MD A34005 2438 5 be be VB A34005 2438 6 used use VBN A34005 2438 7 , , , A34005 2438 8 the the DT A34005 2438 9 Suns Suns NNP A34005 2438 10 declination declination NN A34005 2438 11 is be VBZ A34005 2438 12 required require VBN A34005 2438 13 , , , A34005 2438 14 & & CC A34005 2438 15 by by IN A34005 2438 16 consequence consequence NNP A34005 2438 17 the the DT A34005 2438 18 day day NN A34005 2438 19 of of IN A34005 2438 20 the the DT A34005 2438 21 moneth moneth NN A34005 2438 22 for for IN A34005 2438 23 the the DT A34005 2438 24 ready ready JJ A34005 2438 25 finding finding NN A34005 2438 26 thereof thereof RB A34005 2438 27 there there EX A34005 2438 28 is be VBZ A34005 2438 29 repeated repeat VBN A34005 2438 30 the the DT A34005 2438 31 same same JJ A34005 2438 32 table table NN A34005 2438 33 that that WDT A34005 2438 34 stands stand VBZ A34005 2438 35 on on IN A34005 2438 36 the the DT A34005 2438 37 Back back JJ A34005 2438 38 - - HYPH A34005 2438 39 side side NN A34005 2438 40 of of IN A34005 2438 41 this this DT A34005 2438 42 quadrant quadrant NN A34005 2438 43 in in IN A34005 2438 44 each each DT A34005 2438 45 ruled rule VBN A34005 2438 46 space space NN A34005 2438 47 , , , A34005 2438 48 the the DT A34005 2438 49 uppermost uppermost JJ A34005 2438 50 figure figure NN A34005 2438 51 signifies signify VBZ A34005 2438 52 the the DT A34005 2438 53 yeare yeare NN A34005 2438 54 of of IN A34005 2438 55 the the DT A34005 2438 56 Lord Lord NNP A34005 2438 57 , , , A34005 2438 58 and and CC A34005 2438 59 the the DT A34005 2438 60 column column NN A34005 2438 61 it -PRON- PRP A34005 2438 62 is be VBZ A34005 2438 63 placed place VBN A34005 2438 64 in in IN A34005 2438 65 sheweth sheweth NN A34005 2438 66 upon upon IN A34005 2438 67 what what WP A34005 2438 68 day day NN A34005 2438 69 of of IN A34005 2438 70 the the DT A34005 2438 71 Weeke Weeke NNP A34005 2438 72 the the DT A34005 2438 73 first first JJ A34005 2438 74 day day NN A34005 2438 75 of of IN A34005 2438 76 March March NNP A34005 2438 77 hapned hapne VBN A34005 2438 78 upon upon IN A34005 2438 79 in in IN A34005 2438 80 that that DT A34005 2438 81 yeare yeare NN A34005 2438 82 , , , A34005 2438 83 and and CC A34005 2438 84 the the DT A34005 2438 85 undermost undermost JJ A34005 2438 86 figure figure NN A34005 2438 87 in in IN A34005 2438 88 the the DT A34005 2438 89 said say VBD A34005 2438 90 ruled rule VBN A34005 2438 91 space space NN A34005 2438 92 sheweth sheweth NN A34005 2438 93 what what WP A34005 2438 94 was be VBD A34005 2438 95 the the DT A34005 2438 96 Epact Epact NNP A34005 2438 97 for for IN A34005 2438 98 that that DT A34005 2438 99 yeare yeare NN A34005 2438 100 and and CC A34005 2438 101 this this DT A34005 2438 102 continued continue VBD A34005 2438 103 to to IN A34005 2438 104 the the DT A34005 2438 105 yeare yeare NN A34005 2438 106 1701 1701 CD A34005 2438 107 inclusive inclusive JJ A34005 2438 108 . . . A34005 2439 1 Example example NN A34005 2439 2 . . . A34005 2440 1 Looking look VBG A34005 2440 2 for for IN A34005 2440 3 the the DT A34005 2440 4 yeare yeare NN A34005 2440 5 1660 1660 CD A34005 2440 6 I -PRON- PRP A34005 2440 7 find find VBP A34005 2440 8 the the DT A34005 2440 9 figure figure NN A34005 2440 10 60 60 CD A34005 2440 11 standing standing NN A34005 2440 12 in in IN A34005 2440 13 Thursday Thursday NNP A34005 2440 14 Column Column NNP A34005 2440 15 , , , A34005 2440 16 whence whence NN A34005 2440 17 I -PRON- PRP A34005 2440 18 may may MD A34005 2440 19 conclude conclude VB A34005 2440 20 that that IN A34005 2440 21 the the DT A34005 2440 22 first first JJ A34005 2440 23 day day NN A34005 2440 24 of of IN A34005 2440 25 March March NNP A34005 2440 26 that that WDT A34005 2440 27 yeare yeare NN A34005 2440 28 will will MD A34005 2440 29 be be VB A34005 2440 30 Thursday Thursday NNP A34005 2440 31 , , , A34005 2440 32 and and CC A34005 2440 33 under under IN A34005 2440 34 it -PRON- PRP A34005 2440 35 stands stand VBZ A34005 2440 36 28 28 CD A34005 2440 37 for for IN A34005 2440 38 the the DT A34005 2440 39 Epact Epact NNP A34005 2440 40 that that DT A34005 2440 41 yeare yeare NN A34005 2440 42 . . . A34005 2441 1 Of of IN A34005 2441 2 the the DT A34005 2441 3 Almanack Almanack NNP A34005 2441 4 . . . A34005 2442 1 HAving have VBG A34005 2442 2 as as IN A34005 2442 3 before before IN A34005 2442 4 found find VBN A34005 2442 5 what what WP A34005 2442 6 day day NN A34005 2442 7 of of IN A34005 2442 8 the the DT A34005 2442 9 Weeke Weeke NNP A34005 2442 10 the the DT A34005 2442 11 first first JJ A34005 2442 12 day day NN A34005 2442 13 of of IN A34005 2442 14 March March NNP A34005 2442 15 hapned hapne VBN A34005 2442 16 upon upon IN A34005 2442 17 , , , A34005 2442 18 repaire repaire VB A34005 2442 19 to to IN A34005 2442 20 the the DT A34005 2442 21 Moneth Moneth NNP A34005 2442 22 you -PRON- PRP A34005 2442 23 are be VBP A34005 2442 24 in in IN A34005 2442 25 , , , A34005 2442 26 and and CC A34005 2442 27 those those DT A34005 2442 28 figures figure NNS A34005 2442 29 that that WDT A34005 2442 30 stand stand VBP A34005 2442 31 against against IN A34005 2442 32 it -PRON- PRP A34005 2442 33 shewes shew VBD A34005 2442 34 you -PRON- PRP A34005 2442 35 what what WP A34005 2442 36 dayes daye NNS A34005 2442 37 of of IN A34005 2442 38 the the DT A34005 2442 39 said say VBN A34005 2442 40 moneth moneth NNP A34005 2442 41 the the DT A34005 2442 42 Weeke Weeke NNP A34005 2442 43 day day NN A34005 2442 44 shall shall MD A34005 2442 45 be be VB A34005 2442 46 , , , A34005 2442 47 the the DT A34005 2442 48 same same JJ A34005 2442 49 as as IN A34005 2442 50 it -PRON- PRP A34005 2442 51 was be VBD A34005 2442 52 the the DT A34005 2442 53 first first JJ A34005 2442 54 day day NN A34005 2442 55 of of IN A34005 2442 56 March March NNP A34005 2442 57 . . . A34005 2443 1 Example example NN A34005 2443 2 For for IN A34005 2443 3 the the DT A34005 2443 4 yeare yeare NN A34005 2443 5 1660 1660 CD A34005 2443 6 , , , A34005 2443 7 having have VBG A34005 2443 8 found find VBN A34005 2443 9 that that IN A34005 2443 10 the the DT A34005 2443 11 first first JJ A34005 2443 12 day day NN A34005 2443 13 of of IN A34005 2443 14 March March NNP A34005 2443 15 hapned hapne VBN A34005 2443 16 upon upon IN A34005 2443 17 a a DT A34005 2443 18 Thursday Thursday NNP A34005 2443 19 , , , A34005 2443 20 looke looke NN A34005 2443 21 into into IN A34005 2443 22 the the DT A34005 2443 23 column column NN A34005 2443 24 against against IN A34005 2443 25 June June NNP A34005 2443 26 , , , A34005 2443 27 and and CC A34005 2443 28 February February NNP A34005 2443 29 , , , A34005 2443 30 you -PRON- PRP A34005 2443 31 will will MD A34005 2443 32 find find VB A34005 2443 33 that that IN A34005 2443 34 the the DT A34005 2443 35 7th 7th JJ A34005 2443 36 , , , A34005 2443 37 14th 14th JJ A34005 2443 38 , , , A34005 2443 39 21th 21th JJ A34005 2443 40 and and CC A34005 2443 41 28th 28th JJ A34005 2443 42 dayes daye NNS A34005 2443 43 of of IN A34005 2443 44 those those DT A34005 2443 45 Moneths Moneths NNPS A34005 2443 46 were be VBD A34005 2443 47 Thursdayes Thursdayes NNP A34005 2443 48 , , , A34005 2443 49 whence whence NN A34005 2443 50 it -PRON- PRP A34005 2443 51 might may MD A34005 2443 52 be be VB A34005 2443 53 concluded conclude VBN A34005 2443 54 if if IN A34005 2443 55 need need NN A34005 2443 56 were be VBD A34005 2443 57 that that IN A34005 2443 58 the the DT A34005 2443 59 quarter quarter NN A34005 2443 60 day day NN A34005 2443 61 or or CC A34005 2443 62 24th 24th JJ A34005 2443 63 day day NN A34005 2443 64 of of IN A34005 2443 65 June June NNP A34005 2443 66 that that IN A34005 2443 67 yeare yeare NN A34005 2443 68 hapneth hapneth NN A34005 2443 69 on on IN A34005 2443 70 the the DT A34005 2443 71 Lords Lords NNP A34005 2443 72 day day NN A34005 2443 73 . . . A34005 2444 1 Of of IN A34005 2444 2 the the DT A34005 2444 3 Epact Epact NNP A34005 2444 4 . . . A34005 2445 1 THe the DT A34005 2445 2 Epact Epact NNP A34005 2445 3 is be VBZ A34005 2445 4 a a DT A34005 2445 5 number number NN A34005 2445 6 carried carry VBN A34005 2445 7 on on RP A34005 2445 8 in in IN A34005 2445 9 account account NN A34005 2445 10 from from IN A34005 2445 11 yeare yeare NN A34005 2445 12 to to TO A34005 2445 13 yeare yeare VB A34005 2445 14 towards towards IN A34005 2445 15 a a DT A34005 2445 16 new new JJ A34005 2445 17 change change NN A34005 2445 18 , , , A34005 2445 19 and and CC A34005 2445 20 is be VBZ A34005 2445 21 11 11 CD A34005 2445 22 dayes daye NNS A34005 2445 23 , , , A34005 2445 24 and and CC A34005 2445 25 some some DT A34005 2445 26 odde odde JJ A34005 2445 27 time time NN A34005 2445 28 besides besides RB A34005 2445 29 , , , A34005 2445 30 caused cause VBN A34005 2445 31 by by IN A34005 2445 32 reason reason NN A34005 2445 33 of of IN A34005 2445 34 the the DT A34005 2445 35 Moons Moons NNP A34005 2445 36 motion motion NN A34005 2445 37 , , , A34005 2445 38 which which WDT A34005 2445 39 changeth changeth NNP A34005 2445 40 12 12 CD A34005 2445 41 times time NNS A34005 2445 42 in in IN A34005 2445 43 a a DT A34005 2445 44 yeare yeare JJ A34005 2445 45 Solar Solar NNP A34005 2445 46 , , , A34005 2445 47 and and CC A34005 2445 48 runnes runne NNS A34005 2445 49 also also RB A34005 2445 50 this this DT A34005 2445 51 11 11 CD A34005 2445 52 dayes daye NNS A34005 2445 53 more more JJR A34005 2445 54 towards towards IN A34005 2445 55 a a DT A34005 2445 56 new new JJ A34005 2445 57 change change NN A34005 2445 58 , , , A34005 2445 59 the the DT A34005 2445 60 use use NN A34005 2445 61 of of IN A34005 2445 62 it -PRON- PRP A34005 2445 63 serves serve VBZ A34005 2445 64 to to TO A34005 2445 65 find find VB A34005 2445 66 the the DT A34005 2445 67 Moones Moones NNP A34005 2445 68 age age NN A34005 2445 69 , , , A34005 2445 70 and and CC A34005 2445 71 thereby thereby RB A34005 2445 72 the the DT A34005 2445 73 time time NN A34005 2445 74 of of IN A34005 2445 75 high high JJ A34005 2445 76 Water Water NNP A34005 2445 77 . . . A34005 2446 1 To to TO A34005 2446 2 know know VB A34005 2446 3 the the DT A34005 2446 4 Moons Moons NNP A34005 2446 5 age age NN A34005 2446 6 . . . A34005 2447 1 ADde adde JJ A34005 2447 2 to to IN A34005 2447 3 the the DT A34005 2447 4 day day NN A34005 2447 5 of of IN A34005 2447 6 the the DT A34005 2447 7 Moneth Moneth NNP A34005 2447 8 the the DT A34005 2447 9 Epact Epact NNP A34005 2447 10 , , , A34005 2447 11 and and CC A34005 2447 12 so so RB A34005 2447 13 many many JJ A34005 2447 14 days day NNS A34005 2447 15 more more RBR A34005 2447 16 , , , A34005 2447 17 as as IN A34005 2447 18 are be VBP A34005 2447 19 moneths moneth NNS A34005 2447 20 from from IN A34005 2447 21 March March NNP A34005 2447 22 to to IN A34005 2447 23 the the DT A34005 2447 24 moneth moneth NN A34005 2447 25 you -PRON- PRP A34005 2447 26 are be VBP A34005 2447 27 in in IN A34005 2447 28 , , , A34005 2447 29 including include VBG A34005 2447 30 both both DT A34005 2447 31 moneths moneth NNS A34005 2447 32 , , , A34005 2447 33 the the DT A34005 2447 34 summe summe NN A34005 2447 35 ( ( -LRB- A34005 2447 36 if if IN A34005 2447 37 lesse lesse NNP A34005 2447 38 then then RB A34005 2447 39 30 30 CD A34005 2447 40 ) ) -RRB- A34005 2447 41 is be VBZ A34005 2447 42 the the DT A34005 2447 43 Moones Moones NNP A34005 2447 44 age age NN A34005 2447 45 , , , A34005 2447 46 if if IN A34005 2447 47 more more JJR A34005 2447 48 , , , A34005 2447 49 subtract subtract VB A34005 2447 50 30 30 CD A34005 2447 51 ; ; : A34005 2447 52 and and CC A34005 2447 53 the the DT A34005 2447 54 residue residue NN A34005 2447 55 in in IN A34005 2447 56 the the DT A34005 2447 57 Moons Moons NNP A34005 2447 58 age age NN A34005 2447 59 ( ( -LRB- A34005 2447 60 prope prope NNP A34005 2447 61 verum verum NNP A34005 2447 62 . . . A34005 2447 63 ) ) -RRB- A34005 2448 1 Example example NN A34005 2448 2 . . . A34005 2449 1 The the DT A34005 2449 2 Epact Epact NNP A34005 2449 3 for for IN A34005 2449 4 the the DT A34005 2449 5 year year NN A34005 2449 6 1658 1658 CD A34005 2449 7 is be VBZ A34005 2449 8 6 6 CD A34005 2449 9 , , , A34005 2449 10 and and CC A34005 2449 11 let let VB A34005 2449 12 it -PRON- PRP A34005 2449 13 be be VB A34005 2449 14 required require VBN A34005 2449 15 to to TO A34005 2449 16 know know VB A34005 2449 17 the the DT A34005 2449 18 Moons Moons NNP A34005 2449 19 age age NN A34005 2449 20 the the DT A34005 2449 21 28 28 CD A34005 2449 22 of of IN A34005 2449 23 July July NNP A34005 2449 24 , , , A34005 2449 25 being be VBG A34005 2449 26 the the DT A34005 2449 27 fift fift JJ A34005 2449 28 moneth moneth NN A34005 2449 29 from from IN A34005 2449 30 March March NNP A34005 2449 31 both both DT A34005 2449 32 inclusive inclusive JJ A34005 2449 33 6 6 CD A34005 2449 34 28 28 CD A34005 2449 35 5 5 CD A34005 2449 36 The the DT A34005 2449 37 summe summe NN A34005 2449 38 of of IN A34005 2449 39 these these DT A34005 2449 40 three three CD A34005 2449 41 numbers number NNS A34005 2449 42 is be VBZ A34005 2449 43 39 39 CD A34005 2449 44 Whence whence NN A34005 2449 45 rejecting reject VBG A34005 2449 46 30 30 CD A34005 2449 47 , , , A34005 2449 48 the the DT A34005 2449 49 remainder remainder NN A34005 2449 50 is be VBZ A34005 2449 51 9 9 CD A34005 2449 52 for for IN A34005 2449 53 the the DT A34005 2449 54 Moons Moons NNP A34005 2449 55 age age NN A34005 2449 56 sought seek VBD A34005 2449 57 . . . A34005 2450 1 The the DT A34005 2450 2 former former JJ A34005 2450 3 Rule Rule NNP A34005 2450 4 serves serve VBZ A34005 2450 5 when when WRB A34005 2450 6 the the DT A34005 2450 7 Moneth Moneth NNP A34005 2450 8 hath hath NNP A34005 2450 9 31 31 CD A34005 2450 10 dayes daye NNS A34005 2450 11 , , , A34005 2450 12 but but CC A34005 2450 13 if if IN A34005 2450 14 the the DT A34005 2450 15 Moneth Moneth NNP A34005 2450 16 hath hath NN A34005 2450 17 but but CC A34005 2450 18 30 30 CD A34005 2450 19 Dayes Dayes NNP A34005 2450 20 or or CC A34005 2450 21 lesse lesse NN A34005 2450 22 , , , A34005 2450 23 take take VB A34005 2450 24 away away RB A34005 2450 25 but but CC A34005 2450 26 29 29 CD A34005 2450 27 and and CC A34005 2450 28 the the DT A34005 2450 29 residue residue NN A34005 2450 30 is be VBZ A34005 2450 31 her -PRON- PRP$ A34005 2450 32 ages age NNS A34005 2450 33 To to TO A34005 2450 34 find find VB A34005 2450 35 the the DT A34005 2450 36 time time NN A34005 2450 37 of of IN A34005 2450 38 the the DT A34005 2450 39 Moones Moones NNPS A34005 2450 40 comming comme VBG A34005 2450 41 to to IN A34005 2450 42 South South NNP A34005 2450 43 . . . A34005 2451 1 MUltiply multiply VB A34005 2451 2 the the DT A34005 2451 3 Moones moone NNS A34005 2451 4 age age NN A34005 2451 5 by by IN A34005 2451 6 4 4 CD A34005 2451 7 , , , A34005 2451 8 and and CC A34005 2451 9 divide divide VB A34005 2451 10 by by IN A34005 2451 11 5 5 CD A34005 2451 12 , , , A34005 2451 13 the the DT A34005 2451 14 quotient quotient NN A34005 2451 15 shewes shew VBD A34005 2451 16 it -PRON- PRP A34005 2451 17 , , , A34005 2451 18 every every DT A34005 2451 19 Unit Unit NNP A34005 2451 20 that that WDT A34005 2451 21 remaines remain VBZ A34005 2451 22 is be VBZ A34005 2451 23 in in IN A34005 2451 24 value value NN A34005 2451 25 twelve twelve CD A34005 2451 26 minutes minute NNS A34005 2451 27 of of IN A34005 2451 28 time time NN A34005 2451 29 , , , A34005 2451 30 and and CC A34005 2451 31 because because IN A34005 2451 32 when when WRB A34005 2451 33 the the DT A34005 2451 34 Moon Moon NNP A34005 2451 35 is be VBZ A34005 2451 36 at at IN A34005 2451 37 the the DT A34005 2451 38 full full JJ A34005 2451 39 , , , A34005 2451 40 or or CC A34005 2451 41 15 15 CD A34005 2451 42 dayes daye NNS A34005 2451 43 , , , A34005 2451 44 old old JJ A34005 2451 45 shee shee NN A34005 2451 46 comes come VBZ A34005 2451 47 to to IN A34005 2451 48 South South NNP A34005 2451 49 at at IN A34005 2451 50 the the DT A34005 2451 51 houre houre NN A34005 2451 52 of of IN A34005 2451 53 12 12 CD A34005 2451 54 at at IN A34005 2451 55 midnight midnight NN A34005 2451 56 , , , A34005 2451 57 for for IN A34005 2451 58 ease ease NN A34005 2451 59 in in IN A34005 2451 60 multiplication multiplication NNP A34005 2451 61 and and CC A34005 2451 62 Division Division NNP A34005 2451 63 when when WRB A34005 2451 64 her -PRON- PRP$ A34005 2451 65 age age NN A34005 2451 66 exceedes exceed VBZ A34005 2451 67 15 15 CD A34005 2451 68 dayes daye NNS A34005 2451 69 reject reject VBP A34005 2451 70 15 15 CD A34005 2451 71 from from IN A34005 2451 72 it -PRON- PRP A34005 2451 73 . . . A34005 2452 1 Example example NN A34005 2452 2 , , , A34005 2452 3 So so RB A34005 2452 4 when when WRB A34005 2452 5 the the DT A34005 2452 6 Moon Moon NNP A34005 2452 7 is be VBZ A34005 2452 8 8 8 CD A34005 2452 9 dayes daye NNS A34005 2452 10 old old JJ A34005 2452 11 , , , A34005 2452 12 she -PRON- PRP A34005 2452 13 comes come VBZ A34005 2452 14 to to IN A34005 2452 15 South South NNP A34005 2452 16 at at IN A34005 2452 17 24 24 CD A34005 2452 18 minutes minute NNS A34005 2452 19 past past IN A34005 2452 20 six six CD A34005 2452 21 of of IN A34005 2452 22 the the DT A34005 2452 23 clock clock NN A34005 2452 24 , , , A34005 2452 25 which which WDT A34005 2452 26 being be VBG A34005 2452 27 knowne knowne NNP A34005 2452 28 , , , A34005 2452 29 her -PRON- PRP$ A34005 2452 30 rising rise VBG A34005 2452 31 or or CC A34005 2452 32 setting set VBG A34005 2452 33 may may MD A34005 2452 34 be be VB A34005 2452 35 rudely rudely RB A34005 2452 36 guessed guess VBN A34005 2452 37 at at IN A34005 2452 38 to to TO A34005 2452 39 be be VB A34005 2452 40 six six CD A34005 2452 41 houres houre NNS A34005 2452 42 more more RBR A34005 2452 43 or or CC A34005 2452 44 lesse lesse NNP A34005 2452 45 before before IN A34005 2452 46 her -PRON- PRP$ A34005 2452 47 being be VBG A34005 2452 48 South south NN A34005 2452 49 , , , A34005 2452 50 and and CC A34005 2452 51 her -PRON- PRP$ A34005 2452 52 setting set VBG A34005 2452 53 as as RB A34005 2452 54 much much RB A34005 2452 55 after after IN A34005 2452 56 , , , A34005 2452 57 but but CC A34005 2452 58 in in IN A34005 2452 59 regard regard NN A34005 2452 60 of of IN A34005 2452 61 the the DT A34005 2452 62 varying varying NN A34005 2452 63 of of IN A34005 2452 64 her -PRON- PRP$ A34005 2452 65 declination declination NN A34005 2452 66 no no DT A34005 2452 67 general general JJ A34005 2452 68 certaine certaine NN A34005 2452 69 rule rule NN A34005 2452 70 for for IN A34005 2452 71 the the DT A34005 2452 72 memory memory NN A34005 2452 73 can can MD A34005 2452 74 be be VB A34005 2452 75 given give VBN A34005 2452 76 . . . A34005 2453 1 Here here RB A34005 2453 2 it -PRON- PRP A34005 2453 3 may may MD A34005 2453 4 be be VB A34005 2453 5 noted note VBN A34005 2453 6 that that IN A34005 2453 7 the the DT A34005 2453 8 first first JJ A34005 2453 9 15 15 CD A34005 2453 10 dayes daye NNS A34005 2453 11 of of IN A34005 2453 12 the the DT A34005 2453 13 Moones Moones NNP A34005 2453 14 age age NN A34005 2453 15 she -PRON- PRP A34005 2453 16 commeth commeth VBP A34005 2453 17 to to IN A34005 2453 18 the the DT A34005 2453 19 Meridian Meridian NNP A34005 2453 20 after after IN A34005 2453 21 the the DT A34005 2453 22 Sun Sun NNP A34005 2453 23 , , , A34005 2453 24 being be VBG A34005 2453 25 to to IN A34005 2453 26 the the DT A34005 2453 27 Eastward Eastward NNP A34005 2453 28 of of IN A34005 2453 29 him -PRON- PRP A34005 2453 30 , , , A34005 2453 31 and and CC A34005 2453 32 the the DT A34005 2453 33 later later JJ A34005 2453 34 15 15 CD A34005 2453 35 dayes daye NNS A34005 2453 36 , , , A34005 2453 37 she -PRON- PRP A34005 2453 38 comes come VBZ A34005 2453 39 to to IN A34005 2453 40 the the DT A34005 2453 41 Meridian Meridian NNP A34005 2453 42 before before IN A34005 2453 43 the the DT A34005 2453 44 Sun Sun NNP A34005 2453 45 , , , A34005 2453 46 being be VBG A34005 2453 47 to to IN A34005 2453 48 the the DT A34005 2453 49 Westward Westward NNP A34005 2453 50 of of IN A34005 2453 51 him -PRON- PRP A34005 2453 52 . . . A34005 2454 1 To to TO A34005 2454 2 find find VB A34005 2454 3 the the DT A34005 2454 4 time time NN A34005 2454 5 of of IN A34005 2454 6 high high JJ A34005 2454 7 Water Water NNP A34005 2454 8 . . . A34005 2455 1 TO to IN A34005 2455 2 the the DT A34005 2455 3 time time NN A34005 2455 4 of of IN A34005 2455 5 the the DT A34005 2455 6 Moones Moones NNPS A34005 2455 7 comming comme VBG A34005 2455 8 to to IN A34005 2455 9 South South NNP A34005 2455 10 , , , A34005 2455 11 adde adde VB A34005 2455 12 the the DT A34005 2455 13 time time NN A34005 2455 14 of of IN A34005 2455 15 high high JJ A34005 2455 16 water water NN A34005 2455 17 on on IN A34005 2455 18 the the DT A34005 2455 19 change change NN A34005 2455 20 day day NN A34005 2455 21 , , , A34005 2455 22 proper proper JJ A34005 2455 23 to to IN A34005 2455 24 the the DT A34005 2455 25 place place NN A34005 2455 26 to to TO A34005 2455 27 which which WDT A34005 2455 28 the the DT A34005 2455 29 question question NN A34005 2455 30 is be VBZ A34005 2455 31 suited suit VBN A34005 2455 32 , , , A34005 2455 33 the the DT A34005 2455 34 summe summe NN A34005 2455 35 shewes shew VBD A34005 2455 36 the the DT A34005 2455 37 time time NN A34005 2455 38 of of IN A34005 2455 39 high high JJ A34005 2455 40 waters water NNS A34005 2455 41 For for IN A34005 2455 42 Example example NN A34005 2455 43 , , , A34005 2455 44 There there EX A34005 2455 45 is be VBZ A34005 2455 46 added add VBN A34005 2455 47 in in IN A34005 2455 48 a a DT A34005 2455 49 Table table NN A34005 2455 50 of of IN A34005 2455 51 the the DT A34005 2455 52 time time NN A34005 2455 53 of of IN A34005 2455 54 high high JJ A34005 2455 55 Water Water NNP A34005 2455 56 at at IN A34005 2455 57 London London NNP A34005 2455 58 , , , A34005 2455 59 which which WDT A34005 2455 60 any any DT A34005 2455 61 one one NN A34005 2455 62 may may MD A34005 2455 63 cast cast VB A34005 2455 64 up up RP A34005 2455 65 by by IN A34005 2455 66 memory memory NN A34005 2455 67 according accord VBG A34005 2455 68 to to IN A34005 2455 69 these these DT A34005 2455 70 Rules Rules NNPS A34005 2455 71 , , , A34005 2455 72 it -PRON- PRP A34005 2455 73 is be VBZ A34005 2455 74 to to TO A34005 2455 75 be be VB A34005 2455 76 noted note VBN A34005 2455 77 , , , A34005 2455 78 that that IN A34005 2455 79 Spring Spring NNP A34005 2455 80 Tides Tides NNP A34005 2455 81 , , , A34005 2455 82 high high JJ A34005 2455 83 winds wind NNS A34005 2455 84 , , , A34005 2455 85 and and CC A34005 2455 86 the the DT A34005 2455 87 Moon Moon NNP A34005 2455 88 in in IN A34005 2455 89 her -PRON- PRP$ A34005 2455 90 quarters quarter NNS A34005 2455 91 causes cause VBZ A34005 2455 92 some some DT A34005 2455 93 variation variation NN A34005 2455 94 from from IN A34005 2455 95 the the DT A34005 2455 96 time time NN A34005 2455 97 here here RB A34005 2455 98 expressed express VBD A34005 2455 99 . . . A34005 2456 1 Moones moone NNS A34005 2456 2 age age NN A34005 2456 3 Moon Moon NNP A34005 2456 4 South South NNP A34005 2456 5 Tide Tide NNP A34005 2456 6 London London NNP A34005 2456 7 Dayes Dayes NNP A34005 2456 8 . . . A34005 2457 1 Ho Ho NNP A34005 2457 2 . . . A34005 2458 1 mi mi UH A34005 2458 2 . . . A34005 2459 1 Ho Ho NNP A34005 2459 2 . . . A34005 2460 1 Mi mi IN A34005 2460 2 0 0 CD A34005 2460 3   _SP A34005 2460 4 15 15 CD A34005 2460 5 12 12 CD A34005 2460 6 — — SYM A34005 2460 7 3 3 CD A34005 2460 8 00 00 CD A34005 2460 9 1 1 CD A34005 2460 10   _SP A34005 2460 11 16 16 CD A34005 2460 12 12 12 CD A34005 2460 13 : : SYM A34005 2460 14 48 48 CD A34005 2460 15 3 3 CD A34005 2460 16 : : SYM A34005 2460 17 48 48 CD A34005 2460 18 2 2 CD A34005 2460 19   _SP A34005 2460 20 17 17 CD A34005 2460 21 1 1 CD A34005 2460 22 : : SYM A34005 2460 23 36 36 CD A34005 2460 24 4 4 CD A34005 2460 25 : : SYM A34005 2460 26 36 36 CD A34005 2460 27 3 3 CD A34005 2460 28   _SP A34005 2460 29 18 18 CD A34005 2460 30 2 2 CD A34005 2460 31 : : : A34005 2460 32 24 24 CD A34005 2460 33 5 5 CD A34005 2460 34 : : : A34005 2460 35 24 24 CD A34005 2460 36 4 4 CD A34005 2460 37   _SP A34005 2460 38 19 19 CD A34005 2460 39 3 3 CD A34005 2460 40 : : SYM A34005 2460 41 12 12 CD A34005 2460 42 6 6 CD A34005 2460 43 : : SYM A34005 2460 44 12 12 CD A34005 2460 45 5 5 CD A34005 2460 46   _SP A34005 2460 47 20 20 CD A34005 2460 48 4 4 CD A34005 2460 49     _SP A34005 2460 50 7 7 CD A34005 2460 51 00 00 CD A34005 2460 52 6 6 CD A34005 2460 53   _SP A34005 2460 54 21 21 CD A34005 2460 55 4 4 CD A34005 2460 56 : : SYM A34005 2460 57 48 48 CD A34005 2460 58 7 7 CD A34005 2460 59 : : SYM A34005 2460 60 48 48 CD A34005 2460 61 7 7 CD A34005 2460 62   _SP A34005 2460 63 22 22 CD A34005 2460 64 5 5 CD A34005 2460 65 : : SYM A34005 2460 66 36 36 CD A34005 2460 67 8 8 CD A34005 2460 68 : : SYM A34005 2460 69 36 36 CD A34005 2460 70 8 8 CD A34005 2460 71   _SP A34005 2460 72 23 23 CD A34005 2460 73 6 6 CD A34005 2460 74 : : SYM A34005 2460 75 24 24 CD A34005 2460 76 9 9 CD A34005 2460 77 : : : A34005 2460 78 24 24 CD A34005 2460 79 9 9 CD A34005 2460 80   _SP A34005 2460 81 24 24 CD A34005 2460 82 7 7 CD A34005 2460 83 : : SYM A34005 2460 84 12 12 CD A34005 2460 85 10 10 CD A34005 2460 86 : : SYM A34005 2460 87 12 12 CD A34005 2460 88 10 10 CD A34005 2460 89   _SP A34005 2460 90 25 25 CD A34005 2460 91 8 8 CD A34005 2460 92 : : SYM A34005 2460 93 00 00 CD A34005 2460 94 11 11 CD A34005 2460 95 : : SYM A34005 2460 96 00 00 CD A34005 2460 97 11 11 CD A34005 2460 98   _SP A34005 2460 99 26 26 CD A34005 2460 100 8 8 CD A34005 2460 101 : : : A34005 2460 102 48 48 CD A34005 2460 103 11 11 CD A34005 2460 104 : : : A34005 2460 105 48 48 CD A34005 2460 106 12 12 CD A34005 2460 107   _SP A34005 2460 108 27 27 CD A34005 2460 109 9 9 CD A34005 2460 110 : : SYM A34005 2460 111 36 36 CD A34005 2460 112 12 12 CD A34005 2460 113 : : SYM A34005 2460 114 36 36 CD A34005 2460 115 13 13 CD A34005 2460 116   _SP A34005 2460 117 28 28 CD A34005 2460 118 10 10 CD A34005 2460 119 : : : A34005 2460 120 24 24 CD A34005 2460 121 1 1 CD A34005 2460 122 : : : A34005 2460 123 24 24 CD A34005 2460 124 14 14 CD A34005 2460 125   _SP A34005 2460 126 29 29 CD A34005 2460 127 11 11 CD A34005 2460 128 : : : A34005 2460 129 12 12 CD A34005 2460 130 2 2 CD A34005 2460 131 : : : A34005 2460 132 12 12 CD A34005 2460 133 This this DT A34005 2460 134 Rule Rule NNP A34005 2460 135 may may MD A34005 2460 136 in in IN A34005 2460 137 some some DT A34005 2460 138 measure measure NN A34005 2460 139 satisfie satisfie VBP A34005 2460 140 and and CC A34005 2460 141 serve serve VB A34005 2460 142 for for IN A34005 2460 143 vulgar vulgar JJ A34005 2460 144 use use NN A34005 2460 145 for for IN A34005 2460 146 such such JJ A34005 2460 147 as as IN A34005 2460 148 have have VBP A34005 2460 149 occasion occasion NN A34005 2460 150 to to TO A34005 2460 151 go go VB A34005 2460 152 by by IN A34005 2460 153 water water NN A34005 2460 154 , , , A34005 2460 155 and and CC A34005 2460 156 but but CC A34005 2460 157 that that IN A34005 2460 158 there there EX A34005 2460 159 was be VBD A34005 2460 160 spare spare JJ A34005 2460 161 roome roome NN A34005 2460 162 to to IN A34005 2460 163 grave grave VB A34005 2460 164 on on IN A34005 2460 165 the the DT A34005 2460 166 Epacts Epacts NNP A34005 2460 167 nothing nothing NN A34005 2460 168 at at RB A34005 2460 169 all all RB A34005 2460 170 should should MD A34005 2460 171 have have VB A34005 2460 172 been be VBN A34005 2460 173 said say VBN A34005 2460 174 thereof thereof RB A34005 2460 175 . . . A34005 2461 1 A a DT A34005 2461 2 Table table NN A34005 2461 3 shewing shew VBG A34005 2461 4 the the DT A34005 2461 5 houres houre NNS A34005 2461 6 and and CC A34005 2461 7 Minutes Minutes NNPS A34005 2461 8 to to TO A34005 2461 9 be be VB A34005 2461 10 added add VBN A34005 2461 11 to to IN A34005 2461 12 the the DT A34005 2461 13 time time NN A34005 2461 14 of of IN A34005 2461 15 the the DT A34005 2461 16 Moons Moons NNP A34005 2461 17 comming comme VBG A34005 2461 18 to to IN A34005 2461 19 South South NNP A34005 2461 20 for for IN A34005 2461 21 the the DT A34005 2461 22 places place NNS A34005 2461 23 following follow VBG A34005 2461 24 being be VBG A34005 2461 25 the the DT A34005 2461 26 time time NN A34005 2461 27 of of IN A34005 2461 28 high high JJ A34005 2461 29 Water Water NNP A34005 2461 30 on on IN A34005 2461 31 the the DT A34005 2461 32 change change NN A34005 2461 33 day day NN A34005 2461 34 . . . A34005 2462 1 H. H. NNP A34005 2462 2 m. m. NN A34005 2462 3 Quinborough Quinborough NNP A34005 2462 4 , , , A34005 2462 5 Southampton Southampton NNP A34005 2462 6 , , , A34005 2462 7 Portsmouth Portsmouth NNP A34005 2462 8 , , , A34005 2462 9 Isle Isle NNP A34005 2462 10 of of IN A34005 2462 11 Wight Wight NNP A34005 2462 12 , , , A34005 2462 13 Beachie Beachie NNP A34005 2462 14 , , , A34005 2462 15 the the DT A34005 2462 16 Spits Spits NNPS A34005 2462 17 , , , A34005 2462 18 Kentish Kentish NNP A34005 2462 19 Knocke Knocke NNP A34005 2462 20 , , , A34005 2462 21 half half NN A34005 2462 22 tide tide NN A34005 2462 23 at at IN A34005 2462 24 Dunkirke Dunkirke NNP A34005 2462 25 . . . A34005 2463 1 00 00 NFP A34005 2463 2 : : : A34005 2463 3   _SP A34005 2463 4 00 00 NFP A34005 2463 5 Rochester Rochester NNP A34005 2463 6 , , , A34005 2463 7 Maulden Maulden NNP A34005 2463 8 , , , A34005 2463 9 Aberdeen Aberdeen NNP A34005 2463 10 , , , A34005 2463 11 Redban Redban NNP A34005 2463 12 , , , A34005 2463 13 West West NNP A34005 2463 14 end end NN A34005 2463 15 of of IN A34005 2463 16 the the DT A34005 2463 17 Nowre Nowre NNP A34005 2463 18 , , , A34005 2463 19 Black black JJ A34005 2463 20 taile taile NN A34005 2463 21 . . . A34005 2464 1 00 00 NFP A34005 2464 2 : : : A34005 2464 3   _SP A34005 2464 4 45 45 CD A34005 2464 5 Gravesend Gravesend NNP A34005 2464 6 , , , A34005 2464 7 Downes Downes NNPS A34005 2464 8 , , , A34005 2464 9 Rumney Rumney NNP A34005 2464 10 , , , A34005 2464 11 Silly Silly NNP A34005 2464 12 half half NN A34005 2464 13 tide tide NN A34005 2464 14 , , , A34005 2464 15 Blackness Blackness NNP A34005 2464 16 , , , A34005 2464 17 Ramkins Ramkins NNP A34005 2464 18 , , , A34005 2464 19 Semhead Semhead NNP A34005 2464 20 . . . A34005 2465 1 1 1 LS A34005 2465 2 : : : A34005 2465 3   _SP A34005 2465 4 30 30 CD A34005 2465 5 Dundee Dundee NNP A34005 2465 6 , , , A34005 2465 7 St. St. NNP A34005 2465 8 Andrewes Andrewes NNP A34005 2465 9 , , , A34005 2465 10 Lixborne Lixborne NNP A34005 2465 11 , , , A34005 2465 12 St. St. NNP A34005 2465 13 Lucas Lucas NNP A34005 2465 14 , , , A34005 2465 15 Bel Bel NNP A34005 2465 16 Isle Isle NNP A34005 2465 17 ; ; : A34005 2465 18 Holy Holy NNP A34005 2465 19 Isle Isle NNP A34005 2465 20 . . . A34005 2466 1 2 2 LS A34005 2466 2 : : : A34005 2466 3   _SP A34005 2466 4 15 15 CD A34005 2466 5 London London NNP A34005 2466 6 , , , A34005 2466 7 Tinmouth Tinmouth NNP A34005 2466 8 , , , A34005 2466 9 Hartlepoole Hartlepoole NNP A34005 2466 10 , , , A34005 2466 11 Whitby Whitby NNP A34005 2466 12 , , , A34005 2466 13 Amsterdam Amsterdam NNP A34005 2466 14 , , , A34005 2466 15 Gascoigne Gascoigne NNP A34005 2466 16 , , , A34005 2466 17 Brittaine Brittaine NNP A34005 2466 18 , , , A34005 2466 19 Galizia Galizia NNP A34005 2466 20 . . . A34005 2467 1 3 3 LS A34005 2467 2 : : : A34005 2467 3   _SP A34005 2467 4 00 00 NFP A34005 2467 5 Barwick Barwick NNP A34005 2467 6 , , , A34005 2467 7 Flamborough Flamborough NNP A34005 2467 8 head head NN A34005 2467 9 , , , A34005 2467 10 Bridlington Bridlington NNP A34005 2467 11 bay bay NN A34005 2467 12 , , , A34005 2467 13 Ostend Ostend NNP A34005 2467 14 , , , A34005 2467 15 Flushing Flushing NNP A34005 2467 16 , , , A34005 2467 17 Bourdeaux Bourdeaux NNP A34005 2467 18 , , , A34005 2467 19 Fountnesse Fountnesse NNP A34005 2467 20 . . . A34005 2468 1 3 3 LS A34005 2468 2 : : : A34005 2468 3   _SP A34005 2468 4 45 45 CD A34005 2468 5 Scarborough scarborough JJ A34005 2468 6 quarter quarter NN A34005 2468 7 tide tide NN A34005 2468 8 , , , A34005 2468 9 Lawrenas Lawrenas NNP A34005 2468 10 , , , A34005 2468 11 Mountsbay Mountsbay NNP A34005 2468 12 , , , A34005 2468 13 Severne Severne NNP A34005 2468 14 , , , A34005 2468 15 King King NNP A34005 2468 16 sale sale NN A34005 2468 17 , , , A34005 2468 18 Corke Corke NNP A34005 2468 19 - - HYPH A34005 2468 20 haven haven NNP A34005 2468 21 , , , A34005 2468 22 Baltamoor Baltamoor NNP A34005 2468 23 , , , A34005 2468 24 Dungarvan Dungarvan NNP A34005 2468 25 , , , A34005 2468 26 Calice Calice NNP A34005 2468 27 , , , A34005 2468 28 Creeke Creeke NNP A34005 2468 29 , , , A34005 2468 30 Bloy Bloy NNP A34005 2468 31 seven seven CD A34005 2468 32 Isles Isles NNPS A34005 2468 33 . . . A34005 2469 1 4 4 LS A34005 2469 2 : : : A34005 2469 3   _SP A34005 2469 4 30 30 CD A34005 2469 5 Falmouth Falmouth NNP A34005 2469 6 , , , A34005 2469 7 Foy Foy NNP A34005 2469 8 , , , A34005 2469 9 Humber Humber NNP A34005 2469 10 , , , A34005 2469 11 Moonles Moonles NNP A34005 2469 12 , , , A34005 2469 13 New New NNP A34005 2469 14 - - HYPH A34005 2469 15 castle castle NN A34005 2469 16 , , , A34005 2469 17 Dartmouth Dartmouth NNP A34005 2469 18 , , , A34005 2469 19 Torbay Torbay NNP A34005 2469 20 , , , A34005 2469 21 Caldy Caldy NNP A34005 2469 22 Garnesey Garnesey NNP A34005 2469 23 , , , A34005 2469 24 St. St. NNP A34005 2469 25 Mallowes Mallowes NNP A34005 2469 26 , , , A34005 2469 27 Abrowrath Abrowrath NNP A34005 2469 28 , , , A34005 2469 29 Lizard Lizard NNP A34005 2469 30 . . . A34005 2470 1 5 5 CD A34005 2470 2 : : : A34005 2470 3   _SP A34005 2470 4 15 15 CD A34005 2470 5 Plymouth Plymouth NNP A34005 2470 6 , , , A34005 2470 7 Weymouth Weymouth NNP A34005 2470 8 , , , A34005 2470 9 Hull Hull NNP A34005 2470 10 , , , A34005 2470 11 Lin Lin NNP A34005 2470 12 , , , A34005 2470 13 Lundy Lundy NNP A34005 2470 14 , , , A34005 2470 15 Antwerpe Antwerpe NNP A34005 2470 16 , , , A34005 2470 17 Holmes Holmes NNP A34005 2470 18 of of IN A34005 2470 19 Bristol Bristol NNP A34005 2470 20 , , , A34005 2470 21 St. St. NNP A34005 2470 22 Davids Davids NNP A34005 2470 23 head head NN A34005 2470 24 , , , A34005 2470 25 Concalo Concalo NNP A34005 2470 26 , , , A34005 2470 27 Saint Saint NNP A34005 2470 28 Malo Malo NNP A34005 2470 29 . . . A34005 2471 1 6 6 CD A34005 2471 2 : : : A34005 2471 3   _SP A34005 2471 4 00 00 NFP A34005 2471 5 Bristol Bristol NNP A34005 2471 6 , , , A34005 2471 7 foulnes foulne VBZ A34005 2471 8 at at IN A34005 2471 9 the the DT A34005 2471 10 Start Start NNP A34005 2471 11 . . . A34005 2472 1 6 6 CD A34005 2472 2 : : : A34005 2472 3   _SP A34005 2472 4 45 45 CD A34005 2472 5 Milford Milford NNP A34005 2472 6 , , , A34005 2472 7 Bridg Bridg NNP A34005 2472 8 - - HYPH A34005 2472 9 water water NN A34005 2472 10 , , , A34005 2472 11 Exwater Exwater NNP A34005 2472 12 , , , A34005 2472 13 Lands Lands NNPS A34005 2472 14 end end VBP A34005 2472 15 , , , A34005 2472 16 Waterford Waterford NNP A34005 2472 17 , , , A34005 2472 18 Cape Cape NNP A34005 2472 19 cleer cleer NN A34005 2472 20 , , , A34005 2472 21 Abermorick Abermorick NNP A34005 2472 22 Texel Texel NNP A34005 2472 23 . . . A34005 2473 1 7 7 LS A34005 2473 2 : : : A34005 2473 3   _SP A34005 2473 4 20 20 CD A34005 2473 5 Portland Portland NNP A34005 2473 6 , , , A34005 2473 7 Peterperpont Peterperpont NNP A34005 2473 8 , , , A34005 2473 9 Harflew Harflew NNP A34005 2473 10 , , , A34005 2473 11 Hague Hague NNP A34005 2473 12 , , , A34005 2473 13 St. St. NNP A34005 2473 14 Magnus Magnus NNP A34005 2473 15 Sound Sound NNP A34005 2473 16 , , , A34005 2473 17 Dublin Dublin NNP A34005 2473 18 , , , A34005 2473 19 Lambay Lambay NNP A34005 2473 20 , , , A34005 2473 21 Mackuels Mackuels NNP A34005 2473 22 Castle Castle NNP A34005 2473 23 . . . A34005 2474 1 8 8 CD A34005 2474 2 : : : A34005 2474 3   _SP A34005 2474 4 15 15 CD A34005 2474 5 Poole Poole NNP A34005 2474 6 , , , A34005 2474 7 S. S. NNP A34005 2474 8 Helen Helen NNP A34005 2474 9 , , , A34005 2474 10 Man Man NNP A34005 2474 11 Isle Isle NNP A34005 2474 12 , , , A34005 2474 13 Catnes Catnes NNPS A34005 2474 14 , , , A34005 2474 15 Orkney Orkney NNP A34005 2474 16 , , , A34005 2474 17 Faire Faire NNP A34005 2474 18 Isles Isles NNPS A34005 2474 19 , , , A34005 2474 20 Dunbar Dunbar NNP A34005 2474 21 , , , A34005 2474 22 Kildien Kildien NNP A34005 2474 23 , , , A34005 2474 24 Basse Basse NNP A34005 2474 25 Islands Islands NNP A34005 2474 26 , , , A34005 2474 27 the the DT A34005 2474 28 Casquers Casquers NNPS A34005 2474 29 , , , A34005 2474 30 Deepe Deepe NNP A34005 2474 31 at at IN A34005 2474 32 halfe halfe NN A34005 2474 33 tide tide NNP A34005 2474 34 . . . A34005 2475 1 9 9 LS A34005 2475 2 : : : A34005 2475 3     _SP A34005 2475 4 Needles Needles NNP A34005 2475 5 , , , A34005 2475 6 Oxford Oxford NNP A34005 2475 7 , , , A34005 2475 8 Laysto Laysto NNP A34005 2475 9 , , , A34005 2475 10 South South NNP A34005 2475 11 and and CC A34005 2475 12 North North NNP A34005 2475 13 Fore Fore NNP A34005 2475 14 - - HYPH A34005 2475 15 lands land NNS A34005 2475 16 . . . A34005 2476 1 9 9 CD A34005 2476 2 : : : A34005 2476 3   _SP A34005 2476 4 45 45 CD A34005 2476 5 Yarmouth Yarmouth NNP A34005 2476 6 , , , A34005 2476 7 Dover Dover NNP A34005 2476 8 , , , A34005 2476 9 Harwich Harwich NNP A34005 2476 10 , , , A34005 2476 11 in in IN A34005 2476 12 the the DT A34005 2476 13 frith frith JJ A34005 2476 14 Bullen Bullen NNP A34005 2476 15 , , , A34005 2476 16 Saint Saint NNP A34005 2476 17 John John NNP A34005 2476 18 de de NNP A34005 2476 19 luce luce NNP A34005 2476 20 , , , A34005 2476 21 Calice Calice NNP A34005 2476 22 road road NN A34005 2476 23 . . . A34005 2477 1 10 10 CD A34005 2477 2 : : : A34005 2477 3   _SP A34005 2477 4 30 30 CD A34005 2477 5 Rye Rye NNP A34005 2477 6 , , , A34005 2477 7 Winchelsea Winchelsea NNP A34005 2477 8 , , , A34005 2477 9 Gorend Gorend NNP A34005 2477 10 , , , A34005 2477 11 Rivers Rivers NNP A34005 2477 12 mouth mouth NN A34005 2477 13 of of IN A34005 2477 14 Thames Thames NNP A34005 2477 15 , , , A34005 2477 16 Faire Faire NNP A34005 2477 17 Isle Isle NNP A34005 2477 18 Rhodes Rhodes NNP A34005 2477 19 . . . A34005 2478 1 11 11 CD A34005 2478 2 : : : A34005 2478 3   _SP A34005 2478 4 15 15 CD A34005 2478 5 To to TO A34005 2478 6 find find VB A34005 2478 7 the the DT A34005 2478 8 Epact Epact NNP A34005 2478 9 for for IN A34005 2478 10 ever ever RB A34005 2478 11 . . . A34005 2479 1 IN in IN A34005 2479 2 Order order NN A34005 2479 3 hereto hereto NN A34005 2479 4 , , , A34005 2479 5 first first RB A34005 2479 6 , , , A34005 2479 7 find find VB A34005 2479 8 out out RP A34005 2479 9 the the DT A34005 2479 10 Prime Prime NNP A34005 2479 11 Number Number NNP A34005 2479 12 divide divide VBP A34005 2479 13 the the DT A34005 2479 14 yeare yeare NN A34005 2479 15 of of IN A34005 2479 16 the the DT A34005 2479 17 Lord Lord NNP A34005 2479 18 by by IN A34005 2479 19 19 19 CD A34005 2479 20 the the DT A34005 2479 21 residue residue NN A34005 2479 22 after after IN A34005 2479 23 the the DT A34005 2479 24 Division Division NNP A34005 2479 25 is be VBZ A34005 2479 26 finished finish VBN A34005 2479 27 being be VBG A34005 2479 28 augmented augment VBN A34005 2479 29 by by IN A34005 2479 30 an an DT A34005 2479 31 Unit Unit NNP A34005 2479 32 is be VBZ A34005 2479 33 the the DT A34005 2479 34 Prime Prime NNP A34005 2479 35 sought sought NN A34005 2479 36 , , , A34005 2479 37 and and CC A34005 2479 38 if if IN A34005 2479 39 nothing nothing NN A34005 2479 40 remaine remaine VBP A34005 2479 41 the the DT A34005 2479 42 Prime Prime NNP A34005 2479 43 is be VBZ A34005 2479 44 an an DT A34005 2479 45 Unit Unit NNP A34005 2479 46 . . . A34005 2480 1 To to TO A34005 2480 2 find find VB A34005 2480 3 the the DT A34005 2480 4 Epact Epact NNP A34005 2480 5 . . . A34005 2481 1 MUltiply multiply VB A34005 2481 2 the the DT A34005 2481 3 Prime Prime NNP A34005 2481 4 by by IN A34005 2481 5 11 11 CD A34005 2481 6 , , , A34005 2481 7 the the DT A34005 2481 8 product product NN A34005 2481 9 is be VBZ A34005 2481 10 the the DT A34005 2481 11 Epact Epact NNP A34005 2481 12 sought seek VBN A34005 2481 13 if if IN A34005 2481 14 lesse lesse NNP A34005 2481 15 then then RB A34005 2481 16 30 30 CD A34005 2481 17 , , , A34005 2481 18 but but CC A34005 2481 19 if if IN A34005 2481 20 it -PRON- PRP A34005 2481 21 be be VBP A34005 2481 22 more more JJR A34005 2481 23 , , , A34005 2481 24 the the DT A34005 2481 25 residue residue NN A34005 2481 26 of of IN A34005 2481 27 the the DT A34005 2481 28 Product Product NNP A34005 2481 29 divided divide VBN A34005 2481 30 by by IN A34005 2481 31 30 30 CD A34005 2481 32 is be VBZ A34005 2481 33 the the DT A34005 2481 34 Epact Epact NNP A34005 2481 35 sought seek VBD A34005 2481 36 , , , A34005 2481 37 there there EX A34005 2481 38 note note VBP A34005 2481 39 that that IN A34005 2481 40 the the DT A34005 2481 41 Prime Prime NNP A34005 2481 42 changeth changeth NN A34005 2481 43 the the DT A34005 2481 44 first first JJ A34005 2481 45 of of IN A34005 2481 46 January January NNP A34005 2481 47 , , , A34005 2481 48 and and CC A34005 2481 49 the the DT A34005 2481 50 Epact Epact NNP A34005 2481 51 the the DT A34005 2481 52 first first JJ A34005 2481 53 of of IN A34005 2481 54 March March NNP A34005 2481 55 . . . A34005 2482 1 Otherwise otherwise RB A34005 2482 2 . . . A34005 2483 1 Having have VBG A34005 2483 2 once once RB A34005 2483 3 obtained obtain VBN A34005 2483 4 the the DT A34005 2483 5 Epact Epact NNP A34005 2483 6 adde adde NN A34005 2483 7 11 11 CD A34005 2483 8 so so IN A34005 2483 9 it -PRON- PRP A34005 2483 10 the the DT A34005 2483 11 Summe Summe NNP A34005 2483 12 if if IN A34005 2483 13 lesse lesse NNP A34005 2483 14 then then RB A34005 2483 15 30 30 CD A34005 2483 16 is be VBZ A34005 2483 17 the the DT A34005 2483 18 Epact Epact NNP A34005 2483 19 for for IN A34005 2483 20 the the DT A34005 2483 21 next next JJ A34005 2483 22 yeare yeare NN A34005 2483 23 if if IN A34005 2483 24 more more JJR A34005 2483 25 reject reject VBP A34005 2483 26 30 30 CD A34005 2483 27 , , , A34005 2483 28 and and CC A34005 2483 29 the the DT A34005 2483 30 residue residue NN A34005 2483 31 is be VBZ A34005 2483 32 the the DT A34005 2483 33 Epact Epact NNP A34005 2483 34 sought seek VBD A34005 2483 35 . . . A34005 2484 1 Caution caution NN A34005 2484 2 . . . A34005 2485 1 When when WRB A34005 2485 2 the the DT A34005 2485 3 Epact Epact NNP A34005 2485 4 is be VBZ A34005 2485 5 found find VBN A34005 2485 6 to to TO A34005 2485 7 be be VB A34005 2485 8 29 29 CD A34005 2485 9 for for IN A34005 2485 10 any any DT A34005 2485 11 yeare yeare NN A34005 2485 12 , , , A34005 2485 13 the the DT A34005 2485 14 next next JJ A34005 2485 15 yeare yeare NN A34005 2485 16 following follow VBG A34005 2485 17 it -PRON- PRP A34005 2485 18 will will MD A34005 2485 19 be be VB A34005 2485 20 11 11 CD A34005 2485 21 and and CC A34005 2485 22 not not RB A34005 2485 23 10 10 CD A34005 2485 24 , , , A34005 2485 25 as as IN A34005 2485 26 the the DT A34005 2485 27 Rule Rule NNP A34005 2485 28 would would MD A34005 2485 29 suggest suggest VB A34005 2485 30 . . . A34005 2486 1 A a DT A34005 2486 2 Table table NN A34005 2486 3 of of IN A34005 2486 4 the the DT A34005 2486 5 Epacts Epacts NNPS A34005 2486 6 belonging belong VBG A34005 2486 7 to to IN A34005 2486 8 the the DT A34005 2486 9 respective respective JJ A34005 2486 10 Primes Primes NNP A34005 2486 11 . . . A34005 2487 1 Pr pr UH A34005 2487 2 . . . A34005 2488 1 1 1 CD A34005 2488 2 2 2 CD A34005 2488 3 3 3 CD A34005 2488 4 4 4 CD A34005 2488 5 5 5 CD A34005 2488 6 6 6 CD A34005 2488 7 7 7 CD A34005 2488 8 8 8 CD A34005 2488 9 9 9 CD A34005 2488 10 10 10 CD A34005 2488 11 11 11 CD A34005 2488 12 12 12 CD A34005 2488 13 13 13 CD A34005 2488 14 14 14 CD A34005 2488 15 15 15 CD A34005 2488 16 16 16 CD A34005 2488 17 17 17 CD A34005 2488 18 18 18 CD A34005 2488 19 19 19 CD A34005 2488 20 Ep Ep NNS A34005 2488 21 . . . A34005 2489 1 11 11 CD A34005 2489 2 22 22 CD A34005 2489 3 3 3 CD A34005 2489 4 14 14 CD A34005 2489 5 25 25 CD A34005 2489 6 6 6 CD A34005 2489 7 17 17 CD A34005 2489 8 28 28 CD A34005 2489 9 9 9 CD A34005 2489 10 20 20 CD A34005 2489 11 1 1 CD A34005 2489 12 12 12 CD A34005 2489 13 23 23 CD A34005 2489 14 4 4 CD A34005 2489 15 15 15 CD A34005 2489 16 26 26 CD A34005 2489 17 7 7 CD A34005 2489 18 18 18 CD A34005 2489 19 29 29 CD A34005 2489 20 The the DT A34005 2489 21 Prime Prime NNP A34005 2489 22 number number NN A34005 2489 23 called call VBN A34005 2489 24 the the DT A34005 2489 25 Golden Golden NNP A34005 2489 26 Number Number NNP A34005 2489 27 , , , A34005 2489 28 is be VBZ A34005 2489 29 the the DT A34005 2489 30 number number NN A34005 2489 31 of of IN A34005 2489 32 19 19 CD A34005 2489 33 years year NNS A34005 2489 34 in in IN A34005 2489 35 which which WDT A34005 2489 36 space space NN A34005 2489 37 the the DT A34005 2489 38 Moone Moone NNP A34005 2489 39 makes make VBZ A34005 2489 40 all all DT A34005 2489 41 variety variety NN A34005 2489 42 of of IN A34005 2489 43 her -PRON- PRP$ A34005 2489 44 changes change NNS A34005 2489 45 , , , A34005 2489 46 as as IN A34005 2489 47 if if IN A34005 2489 48 she -PRON- PRP A34005 2489 49 change change VBP A34005 2489 50 on on IN A34005 2489 51 a a DT A34005 2489 52 certain certain JJ A34005 2489 53 day day NN A34005 2489 54 of of IN A34005 2489 55 the the DT A34005 2489 56 month month NN A34005 2489 57 on on IN A34005 2489 58 a a DT A34005 2489 59 certain certain JJ A34005 2489 60 yeare yeare NN A34005 2489 61 she -PRON- PRP A34005 2489 62 shall shall MD A34005 2489 63 not not RB A34005 2489 64 change change VB A34005 2489 65 the the DT A34005 2489 66 same same JJ A34005 2489 67 day day NN A34005 2489 68 of of IN A34005 2489 69 the the DT A34005 2489 70 moneth moneth NN A34005 2489 71 again again RB A34005 2489 72 till till IN A34005 2489 73 19 19 CD A34005 2489 74 yeares yeare NNS A34005 2489 75 after after IN A34005 2489 76 : : : A34005 2489 77 and and CC A34005 2489 78 then then RB A34005 2489 79 it -PRON- PRP A34005 2489 80 doth doth JJ A34005 2489 81 not not RB A34005 2489 82 happen happen VB A34005 2489 83 upon upon IN A34005 2489 84 the the DT A34005 2489 85 same same JJ A34005 2489 86 houre houre NN A34005 2489 87 of of IN A34005 2489 88 the the DT A34005 2489 89 day day NN A34005 2489 90 , , , A34005 2489 91 yet yet CC A34005 2489 92 the the DT A34005 2489 93 difference difference NN A34005 2489 94 doth doth NN A34005 2489 95 not not RB A34005 2489 96 cause cause VB A34005 2489 97 one one CD A34005 2489 98 dayes dayes NNP A34005 2489 99 variation variation NN A34005 2489 100 in in IN A34005 2489 101 300 300 CD A34005 2489 102 yeares yeare NNS A34005 2489 103 , , , A34005 2489 104 as as IN A34005 2489 105 is be VBZ A34005 2489 106 observed observe VBN A34005 2489 107 by by IN A34005 2489 108 Mr. Mr. NNP A34005 2489 109 Philips Philips NNP A34005 2489 110 . . . A34005 2490 1 The the DT A34005 2490 2 Vses Vses NNPS A34005 2490 3 of of IN A34005 2490 4 the the DT A34005 2490 5 Quadrant Quadrant NNP A34005 2490 6 . . . A34005 2491 1 WIthout without IN A34005 2491 2 rectifying rectify VBG A34005 2491 3 the the DT A34005 2491 4 Bead Bead NNP A34005 2491 5 nothing nothing NN A34005 2491 6 can can MD A34005 2491 7 be be VB A34005 2491 8 performed perform VBN A34005 2491 9 by by IN A34005 2491 10 this this DT A34005 2491 11 Projection Projection NNP A34005 2491 12 , , , A34005 2491 13 except except IN A34005 2491 14 finding find VBG A34005 2491 15 the the DT A34005 2491 16 Suns Suns NNP A34005 2491 17 Meridian Meridian NNP A34005 2491 18 Altitude Altitude NNP A34005 2491 19 being be VBG A34005 2491 20 shewn shew VBN A34005 2491 21 upon upon IN A34005 2491 22 the the DT A34005 2491 23 Index Index NNP A34005 2491 24 , , , A34005 2491 25 by by IN A34005 2491 26 the the DT A34005 2491 27 intersection intersection NN A34005 2491 28 of of IN A34005 2491 29 the the DT A34005 2491 30 Parallel Parallel NNP A34005 2491 31 of of IN A34005 2491 32 declination declination NN A34005 2491 33 therewith therewith NN A34005 2491 34 . . . A34005 2492 1 Also also RB A34005 2492 2 the the DT A34005 2492 3 time time NN A34005 2492 4 when when WRB A34005 2492 5 the the DT A34005 2492 6 Sun Sun NNP A34005 2492 7 will will MD A34005 2492 8 be be VB A34005 2492 9 due due JJ A34005 2492 10 East East NNP A34005 2492 11 or or CC A34005 2492 12 West West NNP A34005 2492 13 . . . A34005 2493 1 TRace trace VB A34005 2493 2 the the DT A34005 2493 3 Parallel Parallel NNP A34005 2493 4 of of IN A34005 2493 5 Declination Declination NNP A34005 2493 6 to to IN A34005 2493 7 the the DT A34005 2493 8 right right JJ A34005 2493 9 edge edge NN A34005 2493 10 of of IN A34005 2493 11 the the DT A34005 2493 12 Projection Projection NNP A34005 2493 13 , , , A34005 2493 14 and and CC A34005 2493 15 the the DT A34005 2493 16 houre houre NN A34005 2493 17 it -PRON- PRP A34005 2493 18 there there RB A34005 2493 19 intersects intersect VBZ A34005 2493 20 ( ( -LRB- A34005 2493 21 in in IN A34005 2493 22 most most JJS A34005 2493 23 cases case NNS A34005 2493 24 to to TO A34005 2493 25 be be VB A34005 2493 26 duly duly RB A34005 2493 27 estimated estimate VBN A34005 2493 28 ) ) -RRB- A34005 2493 29 shewes shewes NNP A34005 2493 30 the the DT A34005 2493 31 time time NN A34005 2493 32 sought seek VBD A34005 2493 33 , , , A34005 2493 34 thus thus RB A34005 2493 35 when when WRB A34005 2493 36 the the DT A34005 2493 37 Sun Sun NNP A34005 2493 38 hath hath NNP A34005 2493 39 21 21 CD A34005 2493 40 deg deg NN A34005 2493 41 . . . A34005 2494 1 of of IN A34005 2494 2 North North NNP A34005 2494 3 declination declination NN A34005 2494 4 , , , A34005 2494 5 we -PRON- PRP A34005 2494 6 shall shall MD A34005 2494 7 find find VB A34005 2494 8 that that IN A34005 2494 9 he -PRON- PRP A34005 2494 10 will will MD A34005 2494 11 be be VB A34005 2494 12 due due JJ A34005 2494 13 East East NNP A34005 2494 14 or or CC A34005 2494 15 West West NNP A34005 2494 16 , , , A34005 2494 17 about about RB A34005 2494 18 three three CD A34005 2494 19 quarters quarter NNS A34005 2494 20 of of IN A34005 2494 21 an an DT A34005 2494 22 houre houre NN A34005 2494 23 past past JJ A34005 2494 24 4 4 CD A34005 2494 25 in in IN A34005 2494 26 the the DT A34005 2494 27 afternoon afternoon NN A34005 2494 28 , , , A34005 2494 29 or or CC A34005 2494 30 a a DT A34005 2494 31 quarter quarter NN A34005 2494 32 past past IN A34005 2494 33 7 7 CD A34005 2494 34 in in IN A34005 2494 35 the the DT A34005 2494 36 morning morning NN A34005 2494 37 . . . A34005 2495 1 The the DT A34005 2495 2 declination declination NN A34005 2495 3 is be VBZ A34005 2495 4 to to TO A34005 2495 5 be be VB A34005 2495 6 found find VBN A34005 2495 7 on on IN A34005 2495 8 the the DT A34005 2495 9 Back back JJ A34005 2495 10 - - HYPH A34005 2495 11 side side NN A34005 2495 12 of of IN A34005 2495 13 the the DT A34005 2495 14 quadrant quadrant NN A34005 2495 15 by by IN A34005 2495 16 laying lay VBG A34005 2495 17 the the DT A34005 2495 18 thread thread NN A34005 2495 19 over over IN A34005 2495 20 the the DT A34005 2495 21 day day NN A34005 2495 22 of of IN A34005 2495 23 the the DT A34005 2495 24 moneth moneth NN A34005 2495 25 . . . A34005 2496 1 To to TO A34005 2496 2 rectifie rectifie VB A34005 2496 3 the the DT A34005 2496 4 Bead Bead NNP A34005 2496 5 . . . A34005 2497 1 LAy lay VB A34005 2497 2 the the DT A34005 2497 3 thread thread NN A34005 2497 4 upon upon IN A34005 2497 5 the the DT A34005 2497 6 graduated graduate VBN A34005 2497 7 Index Index NNP A34005 2497 8 , , , A34005 2497 9 and and CC A34005 2497 10 set set VBD A34005 2497 11 the the DT A34005 2497 12 Bead Bead NNP A34005 2497 13 to to IN A34005 2497 14 the the DT A34005 2497 15 observed observe VBN A34005 2497 16 or or CC A34005 2497 17 given give VBN A34005 2497 18 Altitude altitude NN A34005 2497 19 , , , A34005 2497 20 and and CC A34005 2497 21 when when WRB A34005 2497 22 the the DT A34005 2497 23 Altitude altitude NN A34005 2497 24 is be VBZ A34005 2497 25 nothing nothing NN A34005 2497 26 or or CC A34005 2497 27 when when WRB A34005 2497 28 the the DT A34005 2497 29 Sun Sun NNP A34005 2497 30 is be VBZ A34005 2497 31 in in IN A34005 2497 32 the the DT A34005 2497 33 Horizon Horizon NNP A34005 2497 34 set set VBD A34005 2497 35 the the DT A34005 2497 36 Bead Bead NNP A34005 2497 37 to to IN A34005 2497 38 the the DT A34005 2497 39 Cypher Cypher NNP A34005 2497 40 on on IN A34005 2497 41 the the DT A34005 2497 42 graduated graduate VBN A34005 2497 43 Index Index NNP A34005 2497 44 , , , A34005 2497 45 which which WDT A34005 2497 46 afterwards afterwards RB A34005 2497 47 being be VBG A34005 2497 48 carried carry VBN A34005 2497 49 without without IN A34005 2497 50 stretching stretch VBG A34005 2497 51 to to IN A34005 2497 52 the the DT A34005 2497 53 parallel parallel NN A34005 2497 54 of of IN A34005 2497 55 Declination declination NN A34005 2497 56 the the DT A34005 2497 57 threed threed NN A34005 2497 58 in in IN A34005 2497 59 the the DT A34005 2497 60 Limbe Limbe NNP A34005 2497 61 shewes shew VBD A34005 2497 62 the the DT A34005 2497 63 Amplitude Amplitude NNP A34005 2497 64 or or CC A34005 2497 65 Azimuth Azimuth NNP A34005 2497 66 , , , A34005 2497 67 and and CC A34005 2497 68 the the DT A34005 2497 69 Bead Bead NNP A34005 2497 70 amongst amongst IN A34005 2497 71 the the DT A34005 2497 72 houres houre NNS A34005 2497 73 shewes shew VBD A34005 2497 74 the the DT A34005 2497 75 true true JJ A34005 2497 76 time time NN A34005 2497 77 of of IN A34005 2497 78 the the DT A34005 2497 79 day day NN A34005 2497 80 . . . A34005 2498 1 Example example NN A34005 2498 2 . . . A34005 2499 1 Upon upon IN A34005 2499 2 the the DT A34005 2499 3 24th 24th NN A34005 2499 4 of of IN A34005 2499 5 April April NNP A34005 2499 6 the the DT A34005 2499 7 Suns Suns NNP A34005 2499 8 declination declination NN A34005 2499 9 will will MD A34005 2499 10 be be VB A34005 2499 11 found find VBN A34005 2499 12 to to IN A34005 2499 13 16 16 CD A34005 2499 14 deg deg NN A34005 2499 15 . . . A34005 2500 1 North North NNP A34005 2500 2 . . . A34005 2501 1 Now now RB A34005 2501 2 to to TO A34005 2501 3 find find VB A34005 2501 4 his -PRON- PRP$ A34005 2501 5 Amplitude Amplitude NNP A34005 2501 6 and and CC A34005 2501 7 the the DT A34005 2501 8 time time NN A34005 2501 9 of of IN A34005 2501 10 his -PRON- PRP$ A34005 2501 11 rising rise VBG A34005 2501 12 , , , A34005 2501 13 laying lay VBG A34005 2501 14 the the DT A34005 2501 15 threed threed NN A34005 2501 16 over over IN A34005 2501 17 the the DT A34005 2501 18 graduated graduate VBN A34005 2501 19 Index Index NNP A34005 2501 20 , , , A34005 2501 21 set set VBD A34005 2501 22 the the DT A34005 2501 23 Bead Bead NNP A34005 2501 24 to to IN A34005 2501 25 the the DT A34005 2501 26 beginning beginning NN A34005 2501 27 of of IN A34005 2501 28 the the DT A34005 2501 29 graduations graduation NNS A34005 2501 30 of of IN A34005 2501 31 the the DT A34005 2501 32 Index Index NNP A34005 2501 33 , , , A34005 2501 34 and and CC A34005 2501 35 bring bring VB A34005 2501 36 it -PRON- PRP A34005 2501 37 without without IN A34005 2501 38 stretching stretch VBG A34005 2501 39 to to IN A34005 2501 40 the the DT A34005 2501 41 parallel parallel NN A34005 2501 42 of of IN A34005 2501 43 declination declination NN A34005 2501 44 above above IN A34005 2501 45 being be VBG A34005 2501 46 16 16 CD A34005 2501 47 d d NN A34005 2501 48 ▪ ▪ NN A34005 2501 49 and and CC A34005 2501 50 the the DT A34005 2501 51 threed threed NN A34005 2501 52 in in IN A34005 2501 53 the the DT A34005 2501 54 limbe limbe NN A34005 2501 55 will will MD A34005 2501 56 lye lye VB A34005 2501 57 over over RB A34005 2501 58 26 26 CD A34005 2501 59 deg deg NN A34005 2501 60 . . . A34005 2502 1 18′ 18′ CD A34005 2502 2 for for IN A34005 2502 3 the the DT A34005 2502 4 Suns Suns NNPS A34005 2502 5 Amplitude Amplitude NNP A34005 2502 6 or or CC A34005 2502 7 Coast Coast NNP A34005 2502 8 of of IN A34005 2502 9 rising rise VBG A34005 2502 10 to to IN A34005 2502 11 the the DT A34005 2502 12 Northward Northward NNP A34005 2502 13 of of IN A34005 2502 14 the the DT A34005 2502 15 East East NNP A34005 2502 16 , , , A34005 2502 17 and and CC A34005 2502 18 the the DT A34005 2502 19 Bead Bead NNP A34005 2502 20 amongst amongst IN A34005 2502 21 the the DT A34005 2502 22 houres houre NNS A34005 2502 23 sheweth sheweth VBD A34005 2502 24 24 24 CD A34005 2502 25 minutes minute NNS A34005 2502 26 past past IN A34005 2502 27 4 4 CD A34005 2502 28 for for IN A34005 2502 29 the the DT A34005 2502 30 time time NN A34005 2502 31 of of IN A34005 2502 32 Sun Sun NNP A34005 2502 33 rising rise VBG A34005 2502 34 . . . A34005 2503 1 Which which WDT A34005 2503 2 doubled double VBD A34005 2503 3 gives give VBZ A34005 2503 4 the the DT A34005 2503 5 length length NN A34005 2503 6 of of IN A34005 2503 7 the the DT A34005 2503 8 night night NN A34005 2503 9 8 8 CD A34005 2503 10 houres houre VBZ A34005 2503 11 49 49 CD A34005 2503 12 min min NN A34005 2503 13 . . . A34005 2504 1 In in IN A34005 2504 2 like like DT A34005 2504 3 manner manner NN A34005 2504 4 the the DT A34005 2504 5 time time NN A34005 2504 6 of of IN A34005 2504 7 setting setting NN A34005 2504 8 doubled double VBD A34005 2504 9 gives give VBZ A34005 2504 10 the the DT A34005 2504 11 length length NN A34005 2504 12 of of IN A34005 2504 13 the the DT A34005 2504 14 day day NN A34005 2504 15 . . . A34005 2505 1 The the DT A34005 2505 2 same same JJ A34005 2505 3 to to TO A34005 2505 4 find find VB A34005 2505 5 the the DT A34005 2505 6 houre houre NN A34005 2505 7 and and CC A34005 2505 8 Azimuth Azimuth NNP A34005 2505 9 let let VB A34005 2505 10 the the DT A34005 2505 11 given give VBN A34005 2505 12 Altitude altitude NN A34005 2505 13 be be VB A34005 2505 14 45 45 CD A34005 2505 15 degrees degree NNS A34005 2505 16 . . . A34005 2506 1 HAving have VBG A34005 2506 2 rectified rectify VBN A34005 2506 3 the the DT A34005 2506 4 Bead Bead NNP A34005 2506 5 to to IN A34005 2506 6 the the DT A34005 2506 7 said said JJ A34005 2506 8 Altitude altitude NN A34005 2506 9 on on IN A34005 2506 10 the the DT A34005 2506 11 Index Index NNP A34005 2506 12 and and CC A34005 2506 13 brought bring VBD A34005 2506 14 it -PRON- PRP A34005 2506 15 to to IN A34005 2506 16 the the DT A34005 2506 17 intersect intersect NN A34005 2506 18 , , , A34005 2506 19 the the DT A34005 2506 20 parallel parallel NN A34005 2506 21 of of IN A34005 2506 22 declination declination NN A34005 2506 23 the the DT A34005 2506 24 thread thread NN A34005 2506 25 lyes lye NNS A34005 2506 26 over over IN A34005 2506 27 50 50 CD A34005 2506 28 degrees degree NNS A34005 2506 29 48′ 48′ CD A34005 2506 30 . . . A34005 2507 1 For for IN A34005 2507 2 the the DT A34005 2507 3 Suns Suns NNPS A34005 2507 4 Azimuth Azimuth NNP A34005 2507 5 from from IN A34005 2507 6 the the DT A34005 2507 7 South South NNP A34005 2507 8 . . . A34005 2508 1 And and CC A34005 2508 2 the the DT A34005 2508 3 Bead Bead NNP A34005 2508 4 among among IN A34005 2508 5 the the DT A34005 2508 6 houres houre NNS A34005 2508 7 shewes shew VBD A34005 2508 8 the the DT A34005 2508 9 time time NN A34005 2508 10 of of IN A34005 2508 11 the the DT A34005 2508 12 day day NN A34005 2508 13 to to TO A34005 2508 14 be be VB A34005 2508 15 41 41 CD A34005 2508 16 minutes minute NNS A34005 2508 17 past past IN A34005 2508 18 9 9 CD A34005 2508 19 in in IN A34005 2508 20 the the DT A34005 2508 21 morning morning NN A34005 2508 22 , , , A34005 2508 23 or or CC A34005 2508 24 19 19 CD A34005 2508 25 minutes minute NNS A34005 2508 26 past past IN A34005 2508 27 two two CD A34005 2508 28 in in IN A34005 2508 29 the the DT A34005 2508 30 afternoon afternoon NN A34005 2508 31 . . . A34005 2509 1 Another another DT A34005 2509 2 Example Example NNP A34005 2509 3 wherein wherein WRB A34005 2509 4 the the DT A34005 2509 5 operation operation NN A34005 2509 6 will will MD A34005 2509 7 be be VB A34005 2509 8 upon upon IN A34005 2509 9 the the DT A34005 2509 10 Reverted reverted JJ A34005 2509 11 taile taile NN A34005 2509 12 . . . A34005 2510 1 Let let VB A34005 2510 2 the the DT A34005 2510 3 altitude altitude NN A34005 2510 4 be be VB A34005 2510 5 3 3 CD A34005 2510 6 deg deg NN A34005 2510 7 . . . A34005 2511 1 30′ 30′ NNP A34005 2511 2 And and CC A34005 2511 3 the the DT A34005 2511 4 declination declination NN A34005 2511 5 16 16 CD A34005 2511 6 deg deg NN A34005 2511 7 . . . A34005 2512 1 North north RB A34005 2512 2 as as IN A34005 2512 3 before before RB A34005 2512 4 . . . A34005 2513 1 TO to TO A34005 2513 2 know know VB A34005 2513 3 when when WRB A34005 2513 4 to to TO A34005 2513 5 rectify rectify VB A34005 2513 6 the the DT A34005 2513 7 Bead Bead NNP A34005 2513 8 to to IN A34005 2513 9 the the DT A34005 2513 10 upper upper JJ A34005 2513 11 or or CC A34005 2513 12 neather neather JJ A34005 2513 13 Altitude altitude NN A34005 2513 14 will will MD A34005 2513 15 be be VB A34005 2513 16 no no DT A34005 2513 17 matter matter NN A34005 2513 18 of of IN A34005 2513 19 difficulty difficulty NN A34005 2513 20 , , , A34005 2513 21 for for IN A34005 2513 22 if if IN A34005 2513 23 the the DT A34005 2513 24 Bead Bead NNP A34005 2513 25 being be VBG A34005 2513 26 set set VBN A34005 2513 27 to to IN A34005 2513 28 the the DT A34005 2513 29 neather neather JJ A34005 2513 30 Altitude altitude NN A34005 2513 31 will will MD A34005 2513 32 not not RB A34005 2513 33 meet meet VB A34005 2513 34 with with IN A34005 2513 35 the the DT A34005 2513 36 parallel parallel NN A34005 2513 37 of of IN A34005 2513 38 declination declination NN A34005 2513 39 , , , A34005 2513 40 then then RB A34005 2513 41 set set VB A34005 2513 42 it -PRON- PRP A34005 2513 43 to to IN A34005 2513 44 the the DT A34005 2513 45 upper upper JJ A34005 2513 46 Altitude altitude NN A34005 2513 47 , , , A34005 2513 48 and and CC A34005 2513 49 it -PRON- PRP A34005 2513 50 will will MD A34005 2513 51 meet meet VB A34005 2513 52 with with IN A34005 2513 53 Winter Winter NNP A34005 2513 54 parallel parallel NN A34005 2513 55 of of IN A34005 2513 56 like like JJ A34005 2513 57 declination declination NN A34005 2513 58 , , , A34005 2513 59 which which WDT A34005 2513 60 in in IN A34005 2513 61 this this DT A34005 2513 62 case case NN A34005 2513 63 supplyes supply VBZ A34005 2513 64 the the DT A34005 2513 65 turn turn NN A34005 2513 66 . . . A34005 2514 1 So so RB A34005 2514 2 in in IN A34005 2514 3 this this DT A34005 2514 4 Example Example NNP A34005 2514 5 , , , A34005 2514 6 the the DT A34005 2514 7 Bead Bead NNP A34005 2514 8 being be VBG A34005 2514 9 set set VBN A34005 2514 10 to to IN A34005 2514 11 the the DT A34005 2514 12 upper upper JJ A34005 2514 13 Altitude altitude NN A34005 2514 14 of of IN A34005 2514 15 3 3 CD A34005 2514 16 deg deg NN A34005 2514 17 . . . A34005 2515 1 30′ 30′ LS A34005 2515 2 and and CC A34005 2515 3 carried carry VBN A34005 2515 4 to to IN A34005 2515 5 the the DT A34005 2515 6 Winter Winter NNP A34005 2515 7 parallel parallel NN A34005 2515 8 of of IN A34005 2515 9 declination declination NN A34005 2515 10 . . . A34005 2516 1 The the DT A34005 2516 2 thread thread NN A34005 2516 3 in in IN A34005 2516 4 the the DT A34005 2516 5 Limbe Limbe NNP A34005 2516 6 will will MD A34005 2516 7 fall fall VB A34005 2516 8 upon upon IN A34005 2516 9 68 68 CD A34005 2516 10 deg deg NN A34005 2516 11 . . . A34005 2517 1 28′ 28′ CD A34005 2517 2 for for IN A34005 2517 3 the the DT A34005 2517 4 Suns Suns NNPS A34005 2517 5 Azimuth Azimuth NNP A34005 2517 6 from from IN A34005 2517 7 the the DT A34005 2517 8 North North NNP A34005 2517 9 , , , A34005 2517 10 and and CC A34005 2517 11 the the DT A34005 2517 12 Bead Bead NNP A34005 2517 13 among among IN A34005 2517 14 the the DT A34005 2517 15 houres houre NNS A34005 2517 16 shewes shew VBD A34005 2517 17 the the DT A34005 2517 18 time time NN A34005 2517 19 of of IN A34005 2517 20 the the DT A34005 2517 21 day day NN A34005 2517 22 to to TO A34005 2517 23 be be VB A34005 2517 24 either either CC A34005 2517 25 5 5 CD A34005 2517 26 in in IN A34005 2517 27 the the DT A34005 2517 28 morning morning NN A34005 2517 29 or or CC A34005 2517 30 7 7 CD A34005 2517 31 at at IN A34005 2517 32 night night NN A34005 2517 33 . . . A34005 2518 1 Another another DT A34005 2518 2 Example example NN A34005 2518 3 . . . A34005 2519 1 Admit admit VB A34005 2519 2 the the DT A34005 2519 3 Sun Sun NNP A34005 2519 4 have have VBP A34005 2519 5 20 20 CD A34005 2519 6 degr degr NN A34005 2519 7 . . . A34005 2520 1 of of IN A34005 2520 2 North North NNP A34005 2520 3 Declination Declination NNP A34005 2520 4 ( ( -LRB- A34005 2520 5 as as IN A34005 2520 6 about about IN A34005 2520 7 the the DT A34005 2520 8 9th 9th NN A34005 2520 9 of of IN A34005 2520 10 May May NNP A34005 2520 11 ) ) -RRB- A34005 2520 12 and and CC A34005 2520 13 his -PRON- PRP$ A34005 2520 14 observed observed JJ A34005 2520 15 altitude altitude NN A34005 2520 16 were be VBD A34005 2520 17 56 56 CD A34005 2520 18 deg deg NN A34005 2520 19 . . . A34005 2521 1 20′ 20′ CD A34005 2521 2 having have VBG A34005 2521 3 rectified rectify VBN A34005 2521 4 the the DT A34005 2521 5 Bead Bead NNP A34005 2521 6 thereto thereto NN A34005 2521 7 , , , A34005 2521 8 and and CC A34005 2521 9 brought bring VBD A34005 2521 10 it -PRON- PRP A34005 2521 11 to to TO A34005 2521 12 intersect intersect VB A34005 2521 13 the the DT A34005 2521 14 parallel parallel NN A34005 2521 15 of of IN A34005 2521 16 20 20 CD A34005 2521 17 deg deg NN A34005 2521 18 . . . A34005 2522 1 among among IN A34005 2522 2 the the DT A34005 2522 3 houres houre NNS A34005 2522 4 it -PRON- PRP A34005 2522 5 shewes shew VBD A34005 2522 6 the the DT A34005 2522 7 time time NN A34005 2522 8 of of IN A34005 2522 9 the the DT A34005 2522 10 day day NN A34005 2522 11 to to TO A34005 2522 12 be be VB A34005 2522 13 11 11 CD A34005 2522 14 in in IN A34005 2522 15 the the DT A34005 2522 16 morning morning NN A34005 2522 17 or or CC A34005 2522 18 1 1 CD A34005 2522 19 in in IN A34005 2522 20 the the DT A34005 2522 21 afternoon afternoon NN A34005 2522 22 , , , A34005 2522 23 and and CC A34005 2522 24 the the DT A34005 2522 25 Azimuth Azimuth NNP A34005 2522 26 of of IN A34005 2522 27 the the DT A34005 2522 28 Sun Sun NNP A34005 2522 29 to to TO A34005 2522 30 be be VB A34005 2522 31 26 26 CD A34005 2522 32 deg deg NN A34005 2522 33 . . . A34005 2523 1 from from IN A34005 2523 2 the the DT A34005 2523 3 South South NNP A34005 2523 4 The the DT A34005 2523 5 Vses Vses NNPS A34005 2523 6 of of IN A34005 2523 7 the the DT A34005 2523 8 Projection Projection NNP A34005 2523 9 . . . A34005 2524 1 TO to TO A34005 2524 2 find find VB A34005 2524 3 the the DT A34005 2524 4 Suns Suns NNPS A34005 2524 5 Altitude Altitude NNP A34005 2524 6 on on IN A34005 2524 7 all all DT A34005 2524 8 houres houre NNS A34005 2524 9 or or CC A34005 2524 10 Azimuths Azimuths NNP A34005 2524 11 will will MD A34005 2524 12 be be VB A34005 2524 13 but but CC A34005 2524 14 the the DT A34005 2524 15 converse converse NN A34005 2524 16 of of IN A34005 2524 17 what what WP A34005 2524 18 is be VBZ A34005 2524 19 already already RB A34005 2524 20 said say VBN A34005 2524 21 , , , A34005 2524 22 therefore therefore RB A34005 2524 23 one one CD A34005 2524 24 Example example NN A34005 2524 25 shall shall MD A34005 2524 26 serve serve VB A34005 2524 27 . . . A34005 2525 1 When when WRB A34005 2525 2 the the DT A34005 2525 3 Sun Sun NNP A34005 2525 4 hath hath NNP A34005 2525 5 45 45 CD A34005 2525 6 deg deg NN A34005 2525 7 . . . A34005 2526 1 of of IN A34005 2526 2 Azimuth Azimuth NNP A34005 2526 3 from from IN A34005 2526 4 the the DT A34005 2526 5 South South NNP A34005 2526 6 . . . A34005 2527 1 And and CC A34005 2527 2 his -PRON- PRP$ A34005 2527 3 Declination Declination NNP A34005 2527 4 13 13 CD A34005 2527 5 deg deg NN A34005 2527 6 . . . A34005 2528 1 Northwards northward NNS A34005 2528 2 . . . A34005 2529 1 Lay lay VB A34005 2529 2 the the DT A34005 2529 3 threed threed NN A34005 2529 4 over over IN A34005 2529 5 45 45 CD A34005 2529 6 deg deg NN A34005 2529 7 . . . A34005 2530 1 in in IN A34005 2530 2 the the DT A34005 2530 3 Limbe Limbe NNP A34005 2530 4 , , , A34005 2530 5 and and CC A34005 2530 6 where where WRB A34005 2530 7 the the DT A34005 2530 8 threed threed NN A34005 2530 9 intersects intersect VBZ A34005 2530 10 the the DT A34005 2530 11 Parallel Parallel NNP A34005 2530 12 of of IN A34005 2530 13 Declination Declination NNP A34005 2530 14 thereto thereto NN A34005 2530 15 remove remove VB A34005 2530 16 the the DT A34005 2530 17 Bead Bead NNP A34005 2530 18 which which WDT A34005 2530 19 carried carry VBD A34005 2530 20 to to IN A34005 2530 21 the the DT A34005 2530 22 Index Index NNP A34005 2530 23 without without IN A34005 2530 24 stretching stretch VBG A34005 2530 25 , , , A34005 2530 26 shewes shewes NNP A34005 2530 27 43 43 CD A34005 2530 28 deg deg NN A34005 2530 29 . . . A34005 2531 1 50′ 50′ CD A34005 2531 2 for for IN A34005 2531 3 the the DT A34005 2531 4 Altitude altitude NN A34005 2531 5 sought seek VBD A34005 2531 6 . . . A34005 2532 1 Likewise likewise RB A34005 2532 2 to to IN A34005 2532 3 the the DT A34005 2532 4 same same JJ A34005 2532 5 Declination declination NN A34005 2532 6 if if IN A34005 2532 7 it -PRON- PRP A34005 2532 8 were be VBD A34005 2532 9 required require VBN A34005 2532 10 to to TO A34005 2532 11 find find VB A34005 2532 12 the the DT A34005 2532 13 Suns Suns NNPS A34005 2532 14 Altitude Altitude NNP A34005 2532 15 for for IN A34005 2532 16 the the DT A34005 2532 17 houres houre NNS A34005 2532 18 of of IN A34005 2532 19 2 2 CD A34005 2532 20 or or CC A34005 2532 21 10 10 CD A34005 2532 22 . . . A34005 2533 1 Lay lay VB A34005 2533 2 the the DT A34005 2533 3 threed threed NN A34005 2533 4 over over IN A34005 2533 5 the the DT A34005 2533 6 intersection intersection NN A34005 2533 7 of of IN A34005 2533 8 the the DT A34005 2533 9 houre houre NN A34005 2533 10 proposed propose VBN A34005 2533 11 with with IN A34005 2533 12 the the DT A34005 2533 13 parallel parallel NN A34005 2533 14 of of IN A34005 2533 15 Declination declination NN A34005 2533 16 , , , A34005 2533 17 and and CC A34005 2533 18 thereto thereto NNP A34005 2533 19 set set VBD A34005 2533 20 the the DT A34005 2533 21 bead bead NN A34005 2533 22 which which WDT A34005 2533 23 carried carry VBD A34005 2533 24 to to IN A34005 2533 25 the the DT A34005 2533 26 Index Index NNP A34005 2533 27 shewes shew VBD A34005 2533 28 the the DT A34005 2533 29 Altitude altitude NN A34005 2533 30 sought seek VBD A34005 2533 31 namely namely RB A34005 2533 32 44 44 CD A34005 2533 33 deg deg NN A34005 2533 34 . . . A34005 2534 1 31′ 31′ LS A34005 2534 2 . . . A34005 2535 1 The the DT A34005 2535 2 same same JJ A34005 2535 3 Altitude altitude NN A34005 2535 4 also also RB A34005 2535 5 belongs belong VBZ A34005 2535 6 to to IN A34005 2535 7 that that DT A34005 2535 8 Azimuth Azimuth NNP A34005 2535 9 the the DT A34005 2535 10 threed threed NN A34005 2535 11 in in IN A34005 2535 12 the the DT A34005 2535 13 former former JJ A34005 2535 14 Position position NN A34005 2535 15 lay lie VBD A34005 2535 16 over over RP A34005 2535 17 in in IN A34005 2535 18 the the DT A34005 2535 19 Limbe Limbe NNP A34005 2535 20 . . . A34005 2536 1 This this DT A34005 2536 2 Projection projection NN A34005 2536 3 is be VBZ A34005 2536 4 of of IN A34005 2536 5 worst bad JJS A34005 2536 6 performance performance NN A34005 2536 7 early early RB A34005 2536 8 in in IN A34005 2536 9 the the DT A34005 2536 10 morning morning NN A34005 2536 11 or or CC A34005 2536 12 late late RB A34005 2536 13 in in IN A34005 2536 14 the the DT A34005 2536 15 evening evening NN A34005 2536 16 , , , A34005 2536 17 about about IN A34005 2536 18 which which WDT A34005 2536 19 time time NN A34005 2536 20 Mr. Mr. NNP A34005 2536 21 Daries Daries NNP A34005 2536 22 Curve Curve NNP A34005 2536 23 is be VBZ A34005 2536 24 of of IN A34005 2536 25 best good JJS A34005 2536 26 performance performance NN A34005 2536 27 whereto whereto NN A34005 2536 28 we -PRON- PRP A34005 2536 29 now now RB A34005 2536 30 addresse addresse VBP A34005 2536 31 our -PRON- PRP$ A34005 2536 32 selves self NNS A34005 2536 33 . . . A34005 2537 1 Of of IN A34005 2537 2 the the DT A34005 2537 3 curved curved JJ A34005 2537 4 line line NN A34005 2537 5 and and CC A34005 2537 6 Scales Scales NNP A34005 2537 7 thereto thereto NN A34005 2537 8 fitted fit VBD A34005 2537 9 . . . A34005 2538 1 This this DT A34005 2538 2 as as IN A34005 2538 3 we -PRON- PRP A34005 2538 4 have have VBP A34005 2538 5 said say VBD A34005 2538 6 before before IN A34005 2538 7 was be VBD A34005 2538 8 the the DT A34005 2538 9 ingenious ingenious JJ A34005 2538 10 invention invention NN A34005 2538 11 of of IN A34005 2538 12 M. M. NNP A34005 2538 13 Michael Michael NNP A34005 2538 14 Dary Dary NNP A34005 2538 15 derived derive VBD A34005 2538 16 from from IN A34005 2538 17 the the DT A34005 2538 18 proportionalty proportionalty NN A34005 2538 19 of of IN A34005 2538 20 two two CD A34005 2538 21 like like IN A34005 2538 22 equiangled equiangle VBN A34005 2538 23 plain plain JJ A34005 2538 24 Triangles Triangles NNPS A34005 2538 25 accommodated accommodate VBN A34005 2538 26 to to IN A34005 2538 27 the the DT A34005 2538 28 latitude latitude NN A34005 2538 29 of of IN A34005 2538 30 London London NNP A34005 2538 31 , , , A34005 2538 32 for for IN A34005 2538 33 the the DT A34005 2538 34 ready ready JJ A34005 2538 35 working working NN A34005 2538 36 of of IN A34005 2538 37 these these DT A34005 2538 38 two two CD A34005 2538 39 Proportions Proportions NNPS A34005 2538 40 . . . A34005 2539 1 1 1 LS A34005 2539 2 . . . A34005 2540 1 For for IN A34005 2540 2 the the DT A34005 2540 3 Houre Houre NNP A34005 2540 4 . . . A34005 2541 1 As as IN A34005 2541 2 the the DT A34005 2541 3 Cosine Cosine NNP A34005 2541 4 of of IN A34005 2541 5 the the DT A34005 2541 6 Latitude Latitude NNP A34005 2541 7 , , , A34005 2541 8 is be VBZ A34005 2541 9 to to IN A34005 2541 10 the the DT A34005 2541 11 secant secant NN A34005 2541 12 of of IN A34005 2541 13 the the DT A34005 2541 14 Declination Declination NNP A34005 2541 15 , , , A34005 2541 16 So so RB A34005 2541 17 is be VBZ A34005 2541 18 the the DT A34005 2541 19 difference difference NN A34005 2541 20 between between IN A34005 2541 21 the the DT A34005 2541 22 sine sine NN A34005 2541 23 of of IN A34005 2541 24 the the DT A34005 2541 25 Suns Suns NNPS A34005 2541 26 proposed propose VBD A34005 2541 27 and and CC A34005 2541 28 Meridian Meridian NNP A34005 2541 29 Altitude Altitude NNP A34005 2541 30 . . . A34005 2542 1 To to IN A34005 2542 2 the the DT A34005 2542 3 versed versed JJ A34005 2542 4 sine sine NN A34005 2542 5 of of IN A34005 2542 6 the the DT A34005 2542 7 houre houre NN A34005 2542 8 from from IN A34005 2542 9 noone noone NN A34005 2542 10 , , , A34005 2542 11 and and CC A34005 2542 12 the the DT A34005 2542 13 converse converse NN A34005 2542 14 , , , A34005 2542 15 and and CC A34005 2542 16 so so RB A34005 2542 17 is be VBZ A34005 2542 18 the the DT A34005 2542 19 sine sine NN A34005 2542 20 of of IN A34005 2542 21 the the DT A34005 2542 22 Suns Suns NNP A34005 2542 23 Meridian Meridian NNP A34005 2542 24 Altitude Altitude NNP A34005 2542 25 , , , A34005 2542 26 to to IN A34005 2542 27 the the DT A34005 2542 28 versed versed JJ A34005 2542 29 sine sine NN A34005 2542 30 of of IN A34005 2542 31 the the DT A34005 2542 32 semidiurnal semidiurnal JJ A34005 2542 33 Arke Arke NNP A34005 2542 34 . . . A34005 2543 1 2 2 LS A34005 2543 2 . . . A34005 2544 1 For for IN A34005 2544 2 the the DT A34005 2544 3 Azimuth Azimuth NNP A34005 2544 4 . . . A34005 2545 1 The the DT A34005 2545 2 Curve Curve NNP A34005 2545 3 is be VBZ A34005 2545 4 fitted fit VBN A34005 2545 5 to to TO A34005 2545 6 find find VB A34005 2545 7 it -PRON- PRP A34005 2545 8 from from IN A34005 2545 9 the the DT A34005 2545 10 South South NNP A34005 2545 11 and and CC A34005 2545 12 not not RB A34005 2545 13 from from IN A34005 2545 14 the the DT A34005 2545 15 North North NNP A34005 2545 16 , , , A34005 2545 17 and and CC A34005 2545 18 the the DT A34005 2545 19 Proportion Proportion NNP A34005 2545 20 wrought work VBD A34005 2545 21 upon upon IN A34005 2545 22 it -PRON- PRP A34005 2545 23 will will MD A34005 2545 24 be be VB A34005 2545 25 . . . A34005 2546 1 As as IN A34005 2546 2 the the DT A34005 2546 3 cosine cosine NN A34005 2546 4 of of IN A34005 2546 5 the the DT A34005 2546 6 Latitude Latitude NNP A34005 2546 7 , , , A34005 2546 8 is be VBZ A34005 2546 9 to to IN A34005 2546 10 the the DT A34005 2546 11 Secant Secant NNP A34005 2546 12 of of IN A34005 2546 13 the the DT A34005 2546 14 Altitude altitude NN A34005 2546 15 . . . A34005 2547 1 So so RB A34005 2547 2 is be VBZ A34005 2547 3 the the DT A34005 2547 4 difference difference NN A34005 2547 5 of of IN A34005 2547 6 the the DT A34005 2547 7 versed versed JJ A34005 2547 8 sines sine NNS A34005 2547 9 of of IN A34005 2547 10 the the DT A34005 2547 11 Suns Suns NNPS A34005 2547 12 ( ( -LRB- A34005 2547 13 or or CC A34005 2547 14 Stars Stars NNPS A34005 2547 15 ) ) -RRB- A34005 2547 16 distance distance NN A34005 2547 17 from from IN A34005 2547 18 the the DT A34005 2547 19 elevated elevated JJ A34005 2547 20 Pole Pole NNP A34005 2547 21 , , , A34005 2547 22 and and CC A34005 2547 23 of of IN A34005 2547 24 the the DT A34005 2547 25 summe summe NN A34005 2547 26 of of IN A34005 2547 27 the the DT A34005 2547 28 Complements Complements NNPS A34005 2547 29 both both DT A34005 2547 30 of of IN A34005 2547 31 the the DT A34005 2547 32 Latitude Latitude NNP A34005 2547 33 and and CC A34005 2547 34 Altitude Altitude NNP A34005 2547 35 , , , A34005 2547 36 to to IN A34005 2547 37 the the DT A34005 2547 38 versed versed JJ A34005 2547 39 sine sine NN A34005 2547 40 of of IN A34005 2547 41 the the DT A34005 2547 42 Azimuth Azimuth NNP A34005 2547 43 from from IN A34005 2547 44 the the DT A34005 2547 45 noon noon NN A34005 2547 46 Meridian Meridian NNP A34005 2547 47 . . . A34005 2548 1 Which which WDT A34005 2548 2 will will MD A34005 2548 3 not not RB A34005 2548 4 hold hold VB A34005 2548 5 backward backward JJ A34005 2548 6 to to TO A34005 2548 7 find find VB A34005 2548 8 the the DT A34005 2548 9 Altitude altitude NN A34005 2548 10 on on IN A34005 2548 11 all all DT A34005 2548 12 Azimuths azimuth NNS A34005 2548 13 , , , A34005 2548 14 because because IN A34005 2548 15 the the DT A34005 2548 16 altitude altitude NN A34005 2548 17 is be VBZ A34005 2548 18 a a DT A34005 2548 19 term term NN A34005 2548 20 involved involve VBN A34005 2548 21 , , , A34005 2548 22 both both CC A34005 2548 23 in in IN A34005 2548 24 the the DT A34005 2548 25 second second JJ A34005 2548 26 and and CC A34005 2548 27 third third JJ A34005 2548 28 termes terme NNS A34005 2548 29 of of IN A34005 2548 30 the the DT A34005 2548 31 former former JJ A34005 2548 32 proportion proportion NN A34005 2548 33 . . . A34005 2549 1 If if IN A34005 2549 2 the the DT A34005 2549 3 third third JJ A34005 2549 4 terme terme NN A34005 2549 5 of of IN A34005 2549 6 the the DT A34005 2549 7 former former JJ A34005 2549 8 Proportion Proportion NNP A34005 2549 9 had have VBD A34005 2549 10 not not RB A34005 2549 11 been be VBN A34005 2549 12 a a DT A34005 2549 13 difference difference NN A34005 2549 14 of of IN A34005 2549 15 Sines Sines NNP A34005 2549 16 , , , A34005 2549 17 or or CC A34005 2549 18 Versed Versed NNP A34005 2549 19 sines sine NNS A34005 2549 20 , , , A34005 2549 21 the the DT A34005 2549 22 Curved Curved NNP A34005 2549 23 line line NN A34005 2549 24 would would MD A34005 2549 25 have have VB A34005 2549 26 been be VBN A34005 2549 27 a a DT A34005 2549 28 straight straight JJ A34005 2549 29 - - HYPH A34005 2549 30 line line NN A34005 2549 31 , , , A34005 2549 32 and and CC A34005 2549 33 the the DT A34005 2549 34 third third JJ A34005 2549 35 term term NN A34005 2549 36 always always RB A34005 2549 37 counted count VBD A34005 2549 38 from from IN A34005 2549 39 one one CD A34005 2549 40 point point NN A34005 2549 41 , , , A34005 2549 42 which which WDT A34005 2549 43 though though IN A34005 2549 44 in in IN A34005 2549 45 the the DT A34005 2549 46 use use NN A34005 2549 47 it -PRON- PRP A34005 2549 48 may may MD A34005 2549 49 seem seem VB A34005 2549 50 to to TO A34005 2549 51 be be VB A34005 2549 52 so so RB A34005 2549 53 here here RB A34005 2549 54 , , , A34005 2549 55 yet yet RB A34005 2549 56 in in IN A34005 2549 57 effect effect NN A34005 2549 58 the the DT A34005 2549 59 third third JJ A34005 2549 60 term term NN A34005 2549 61 for for IN A34005 2549 62 the the DT A34005 2549 63 houre houre NN A34005 2549 64 is be VBZ A34005 2549 65 always always RB A34005 2549 66 counted count VBN A34005 2549 67 from from IN A34005 2549 68 the the DT A34005 2549 69 Meridian meridian JJ A34005 2549 70 altitude altitude NN A34005 2549 71 . . . A34005 2550 1 Here here RB A34005 2550 2 observe observe VB A34005 2550 3 that that IN A34005 2550 4 the the DT A34005 2550 5 threed threed NN A34005 2550 6 lying lie VBG A34005 2550 7 over over IN A34005 2550 8 12 12 CD A34005 2550 9 or or CC A34005 2550 10 the the DT A34005 2550 11 end end NN A34005 2550 12 of of IN A34005 2550 13 the the DT A34005 2550 14 Versed Versed NNP A34005 2550 15 Scale Scale NNP A34005 2550 16 , , , A34005 2550 17 and and CC A34005 2550 18 over over IN A34005 2550 19 the the DT A34005 2550 20 Suns Suns NNP A34005 2550 21 meridian meridian NN A34005 2550 22 altitude altitude NN A34005 2550 23 in in IN A34005 2550 24 the the DT A34005 2550 25 line line NN A34005 2550 26 of of IN A34005 2550 27 altitudes altitude NNS A34005 2550 28 , , , A34005 2550 29 it -PRON- PRP A34005 2550 30 will will MD A34005 2550 31 also also RB A34005 2550 32 upon upon IN A34005 2550 33 the the DT A34005 2550 34 curve curve NN A34005 2550 35 shew shew NN A34005 2550 36 the the DT A34005 2550 37 Suns Suns NNP A34005 2550 38 declination declination NN A34005 2550 39 , , , A34005 2550 40 which which WDT A34005 2550 41 by by IN A34005 2550 42 construction construction NN A34005 2550 43 is be VBZ A34005 2550 44 so so RB A34005 2550 45 framed framed JJ A34005 2550 46 that that IN A34005 2550 47 if if IN A34005 2550 48 the the DT A34005 2550 49 distance distance NN A34005 2550 50 from from IN A34005 2550 51 that that DT A34005 2550 52 point point NN A34005 2550 53 to to IN A34005 2550 54 the the DT A34005 2550 55 meridian meridian JJ A34005 2550 56 altitude altitude NN A34005 2550 57 , , , A34005 2550 58 be be VB A34005 2550 59 made make VBN A34005 2550 60 the the DT A34005 2550 61 cosine cosine NN A34005 2550 62 of of IN A34005 2550 63 Latitude Latitude NNP A34005 2550 64 , , , A34005 2550 65 the the DT A34005 2550 66 distance distance NN A34005 2550 67 of of IN A34005 2550 68 the the DT A34005 2550 69 said say VBN A34005 2550 70 point point NN A34005 2550 71 from from IN A34005 2550 72 the the DT A34005 2550 73 end end NN A34005 2550 74 of of IN A34005 2550 75 the the DT A34005 2550 76 versed versed JJ A34005 2550 77 Scale Scale NNP A34005 2550 78 numbred numbre VBN A34005 2550 79 with with IN A34005 2550 80 12 12 CD A34005 2550 81 shall shall MD A34005 2550 82 be be VB A34005 2550 83 the the DT A34005 2550 84 secant secant NN A34005 2550 85 of of IN A34005 2550 86 the the DT A34005 2550 87 declination declination NN A34005 2550 88 to to IN A34005 2550 89 the the DT A34005 2550 90 same same JJ A34005 2550 91 Radius Radius NNP A34005 2550 92 , , , A34005 2550 93 being be VBG A34005 2550 94 both both DT A34005 2550 95 in in IN A34005 2550 96 one one CD A34005 2550 97 straight straight JJ A34005 2550 98 - - HYPH A34005 2550 99 line line NN A34005 2550 100 by by IN A34005 2550 101 the the DT A34005 2550 102 former former JJ A34005 2550 103 constitution constitution NN A34005 2550 104 of of IN A34005 2550 105 the the DT A34005 2550 106 threed threed NN A34005 2550 107 , , , A34005 2550 108 and and CC A34005 2550 109 instead instead RB A34005 2550 110 of of IN A34005 2550 111 the the DT A34005 2550 112 threed threed NN A34005 2550 113 you -PRON- PRP A34005 2550 114 may may MD A34005 2550 115 imagine imagine VB A34005 2550 116 a a DT A34005 2550 117 line line NN A34005 2550 118 drawn draw VBN A34005 2550 119 over over IN A34005 2550 120 the the DT A34005 2550 121 quadrant quadrant NN A34005 2550 122 , , , A34005 2550 123 then then RB A34005 2550 124 by by IN A34005 2550 125 placing place VBG A34005 2550 126 the the DT A34005 2550 127 threed threed NN A34005 2550 128 as as RB A34005 2550 129 hereafter hereafter RB A34005 2550 130 directed direct VBN A34005 2550 131 it -PRON- PRP A34005 2550 132 will will MD A34005 2550 133 with with IN A34005 2550 134 this this DT A34005 2550 135 line line NN A34005 2550 136 & & CC A34005 2550 137 the the DT A34005 2550 138 fitted fit VBN A34005 2550 139 scales scale NNS A34005 2550 140 constitute constitute VBP A34005 2550 141 two two CD A34005 2550 142 equiangled equiangled JJ A34005 2550 143 plaine plaine JJ A34005 2550 144 triangles triangle NNS A34005 2550 145 , , , A34005 2550 146 upon upon IN A34005 2550 147 which which WDT A34005 2550 148 basis basis NN A34005 2550 149 the the DT A34005 2550 150 whole whole JJ A34005 2550 151 work work NN A34005 2550 152 is be VBZ A34005 2550 153 built build VBN A34005 2550 154 . . . A34005 2551 1 In in IN A34005 2551 2 the the DT A34005 2551 3 three three CD A34005 2551 4 first first JJ A34005 2551 5 Proportions Proportions NNPS A34005 2551 6 following follow VBG A34005 2551 7 relating relate VBG A34005 2551 8 to to IN A34005 2551 9 time time NN A34005 2551 10 , , , A34005 2551 11 the the DT A34005 2551 12 Altitude Altitude NNP A34005 2551 13 must must MD A34005 2551 14 alwayes alwaye NNS A34005 2551 15 be be VB A34005 2551 16 counted count VBN A34005 2551 17 upwards upwards RB A34005 2551 18 from from IN A34005 2551 19 O o NN A34005 2551 20 in in IN A34005 2551 21 the the DT A34005 2551 22 line line NN A34005 2551 23 of of IN A34005 2551 24 Altitude Altitude NNP A34005 2551 25 , , , A34005 2551 26 and and CC A34005 2551 27 the the DT A34005 2551 28 Declination declination NN A34005 2551 29 in in IN A34005 2551 30 the the DT A34005 2551 31 Curve curve NN A34005 2551 32 upwards upwards RB A34005 2551 33 in in IN A34005 2551 34 Summer summer NN A34005 2551 35 , , , A34005 2551 36 downwards downwards RB A34005 2551 37 in in IN A34005 2551 38 Winter Winter NNP A34005 2551 39 . . . A34005 2552 1 1 1 CD A34005 2552 2 To to TO A34005 2552 3 find find VB A34005 2552 4 the the DT A34005 2552 5 time time NN A34005 2552 6 of of IN A34005 2552 7 the the DT A34005 2552 8 Suns Suns NNPS A34005 2552 9 rising rise VBG A34005 2552 10 and and CC A34005 2552 11 setting setting NN A34005 2552 12 by by IN A34005 2552 13 the the DT A34005 2552 14 Curve curve NN A34005 2552 15 . . . A34005 2553 1 WE we PRP A34005 2553 2 have have VBP A34005 2553 3 before before RB A34005 2553 4 intimated intimate VBN A34005 2553 5 that that IN A34005 2553 6 the the DT A34005 2553 7 suns suns NNPS A34005 2553 8 Declination Declination NNP A34005 2553 9 is be VBZ A34005 2553 10 to to TO A34005 2553 11 be be VB A34005 2553 12 found find VBN A34005 2553 13 on on IN A34005 2553 14 the the DT A34005 2553 15 back back NN A34005 2553 16 of of IN A34005 2553 17 the the DT A34005 2553 18 quadrant quadrant NN A34005 2553 19 , , , A34005 2553 20 having have VBG A34005 2553 21 found find VBN A34005 2553 22 it -PRON- PRP A34005 2553 23 , , , A34005 2553 24 lay lie VBD A34005 2553 25 one one CD A34005 2553 26 part part NN A34005 2553 27 of of IN A34005 2553 28 the the DT A34005 2553 29 thread thread NN A34005 2553 30 over over IN A34005 2553 31 0 0 CD A34005 2553 32 deg deg NN A34005 2553 33 . . . A34005 2554 1 in in IN A34005 2554 2 the the DT A34005 2554 3 Line Line NNP A34005 2554 4 of of IN A34005 2554 5 Altitude Altitude NNP A34005 2554 6 , , , A34005 2554 7 and and CC A34005 2554 8 extending extend VBG A34005 2554 9 it -PRON- PRP A34005 2554 10 , , , A34005 2554 11 lay lie VBD A34005 2554 12 the the DT A34005 2554 13 other other JJ A34005 2554 14 part part NN A34005 2554 15 of of IN A34005 2554 16 it -PRON- PRP A34005 2554 17 over over IN A34005 2554 18 the the DT A34005 2554 19 Suns Suns NNP A34005 2554 20 Declination Declination NNP A34005 2554 21 counted count VBD A34005 2554 22 from from IN A34005 2554 23 O o NN A34005 2554 24 in in IN A34005 2554 25 the the DT A34005 2554 26 Curve curve NN A34005 2554 27 , , , A34005 2554 28 and and CC A34005 2554 29 the the DT A34005 2554 30 thread thread NN A34005 2554 31 upon upon IN A34005 2554 32 the the DT A34005 2554 33 Versed versed JJ A34005 2554 34 scale scale NN A34005 2554 35 shewes shew VBD A34005 2554 36 the the DT A34005 2554 37 time time NN A34005 2554 38 of of IN A34005 2554 39 Suns Suns NNPS A34005 2554 40 rising rise VBG A34005 2554 41 and and CC A34005 2554 42 setting set VBG A34005 2554 43 , , , A34005 2554 44 which which WDT A34005 2554 45 being be VBG A34005 2554 46 as as RB A34005 2554 47 much much JJ A34005 2554 48 from from IN A34005 2554 49 six six CD A34005 2554 50 towards towards IN A34005 2554 51 noon noon NN A34005 2554 52 in in IN A34005 2554 53 Winter Winter NNP A34005 2554 54 as as IN A34005 2554 55 towards towards IN A34005 2554 56 mid mid NN A34005 2554 57 - - NN A34005 2554 58 night night NN A34005 2554 59 in in IN A34005 2554 60 Summer Summer NNP A34005 2554 61 , , , A34005 2554 62 the the DT A34005 2554 63 quantity quantity NN A34005 2554 64 of of IN A34005 2554 65 Declination Declination NNP A34005 2554 66 supposed suppose VBN A34005 2554 67 alike alike RB A34005 2554 68 both both DT A34005 2554 69 wayes waye NNS A34005 2554 70 on on IN A34005 2554 71 each each DT A34005 2554 72 side side NN A34005 2554 73 the the DT A34005 2554 74 Equinoctial equinoctial JJ A34005 2554 75 , , , A34005 2554 76 the the DT A34005 2554 77 thread thread NN A34005 2554 78 may may MD A34005 2554 79 be be VB A34005 2554 80 layd layd JJ A34005 2554 81 either either DT A34005 2554 82 way way NN A34005 2554 83 from from IN A34005 2554 84 O o NN A34005 2554 85 in in IN A34005 2554 86 the the DT A34005 2554 87 Curve curve NN A34005 2554 88 to to IN A34005 2554 89 the the DT A34005 2554 90 Declination declination NN A34005 2554 91 . . . A34005 2555 1 Example example NN A34005 2555 2 . . . A34005 2556 1 When when WRB A34005 2556 2 the the DT A34005 2556 3 Sun Sun NNP A34005 2556 4 hath hath NNP A34005 2556 5 20 20 CD A34005 2556 6 deg deg NN A34005 2556 7 . . . A34005 2557 1 of of IN A34005 2557 2 Declination Declination NNP A34005 2557 3 , , , A34005 2557 4 the the DT A34005 2557 5 thread thread NN A34005 2557 6 being be VBG A34005 2557 7 laid lay VBN A34005 2557 8 over over IN A34005 2557 9 20 20 CD A34005 2557 10 deg deg NN A34005 2557 11 . . . A34005 2558 1 in in IN A34005 2558 2 the the DT A34005 2558 3 Curve curve NN A34005 2558 4 and and CC A34005 2558 5 O o NN A34005 2558 6 in in IN A34005 2558 7 the the DT A34005 2558 8 Altitude altitude NN A34005 2558 9 on on IN A34005 2558 10 the the DT A34005 2558 11 left left JJ A34005 2558 12 edge edge NN A34005 2558 13 shewes shew VBD A34005 2558 14 that that IN A34005 2558 15 the the DT A34005 2558 16 Sun Sun NNP A34005 2558 17 riseth riseth NN A34005 2558 18 setteth setteth VBP A34005 2558 19 1 1 CD A34005 2558 20 houre houre NN A34005 2558 21 49′ 49′ CD A34005 2558 22 before before RB A34005 2558 23 after after IN A34005 2558 24 six six CD A34005 2558 25 in in IN A34005 2558 26 the the DT A34005 2558 27 Summer Summer NNP A34005 2558 28 and and CC A34005 2558 29 riseth riseth NNP A34005 2558 30 setteth setteth VB A34005 2558 31 as as RB A34005 2558 32 much much JJ A34005 2558 33 after after IN A34005 2558 34 before before IN A34005 2558 35 six six CD A34005 2558 36 in in IN A34005 2558 37 the the DT A34005 2558 38 Winter Winter NNP A34005 2558 39 . . . A34005 2559 1 2 2 CD A34005 2559 2 The the DT A34005 2559 3 Altitude Altitude NNP A34005 2559 4 and and CC A34005 2559 5 Declination Declination NNP A34005 2559 6 of of IN A34005 2559 7 the the DT A34005 2559 8 Sun Sun NNP A34005 2559 9 being be VBG A34005 2559 10 given give VBN A34005 2559 11 to to TO A34005 2559 12 find find VB A34005 2559 13 the the DT A34005 2559 14 houre houre NN A34005 2559 15 of of IN A34005 2559 16 the the DT A34005 2559 17 day day NN A34005 2559 18 . . . A34005 2560 1 COunt COunt NNP A34005 2560 2 the the DT A34005 2560 3 Altitude altitude NN A34005 2560 4 from from IN A34005 2560 5 O o NN A34005 2560 6 in in IN A34005 2560 7 the the DT A34005 2560 8 Scale scale NN A34005 2560 9 of of IN A34005 2560 10 Altitudes Altitudes NNPS A34005 2560 11 towards towards IN A34005 2560 12 the the DT A34005 2560 13 Center Center NNP A34005 2560 14 , , , A34005 2560 15 and and CC A34005 2560 16 thereto thereto NNP A34005 2560 17 lay lie VBD A34005 2560 18 the the DT A34005 2560 19 thread thread NN A34005 2560 20 , , , A34005 2560 21 then then RB A34005 2560 22 count count VB A34005 2560 23 the the DT A34005 2560 24 Declination declination NN A34005 2560 25 from from IN A34005 2560 26 O o NN A34005 2560 27 in in IN A34005 2560 28 the the DT A34005 2560 29 Curve curve NN A34005 2560 30 , , , A34005 2560 31 if if IN A34005 2560 32 North North NNP A34005 2560 33 upwards upwards RB A34005 2560 34 towards towards IN A34005 2560 35 the the DT A34005 2560 36 Center Center NNP A34005 2560 37 , , , A34005 2560 38 if if IN A34005 2560 39 South South NNP A34005 2560 40 downwards downwards RB A34005 2560 41 towards towards IN A34005 2560 42 the the DT A34005 2560 43 Limbe Limbe NNP A34005 2560 44 . . . A34005 2561 1 And and CC A34005 2561 2 lay lay VB A34005 2561 3 the the DT A34005 2561 4 thread thread NN A34005 2561 5 extended extend VBN A34005 2561 6 over over IN A34005 2561 7 it -PRON- PRP A34005 2561 8 , , , A34005 2561 9 and and CC A34005 2561 10 in in IN A34005 2561 11 the the DT A34005 2561 12 Versed Versed NNP A34005 2561 13 Scale Scale NNP A34005 2561 14 it -PRON- PRP A34005 2561 15 shewes shew VBD A34005 2561 16 the the DT A34005 2561 17 time time NN A34005 2561 18 of of IN A34005 2561 19 the the DT A34005 2561 20 day day NN A34005 2561 21 sought seek VBD A34005 2561 22 . . . A34005 2562 1 Example example NN A34005 2562 2 . . . A34005 2563 1 The the DT A34005 2563 2 Altitude Altitude NNP A34005 2563 3 being be VBG A34005 2563 4 24 24 CD A34005 2563 5 d. d. NN A34005 2563 6 46′ 46′ CD A34005 2563 7 and and CC A34005 2563 8 the the DT A34005 2563 9 Declination Declination NNP A34005 2563 10 20 20 CD A34005 2563 11 d. d. NN A34005 2563 12 North North NNP A34005 2563 13 counting count VBG A34005 2563 14 that that WDT A34005 2563 15 upwards upwards RB A34005 2563 16 in in IN A34005 2563 17 the the DT A34005 2563 18 Scale Scale NNP A34005 2563 19 of of IN A34005 2563 20 Altitudes Altitudes NNPS A34005 2563 21 , , , A34005 2563 22 and and CC A34005 2563 23 this this DT A34005 2563 24 upward upward JJ A34005 2563 25 in in IN A34005 2563 26 the the DT A34005 2563 27 curve curve NN A34005 2563 28 , , , A34005 2563 29 and and CC A34005 2563 30 extending extend VBG A34005 2563 31 the the DT A34005 2563 32 through through JJ A34005 2563 33 thread thread NN A34005 2563 34 , , , A34005 2563 35 it -PRON- PRP A34005 2563 36 will will MD A34005 2563 37 intersect intersect VB A34005 2563 38 the the DT A34005 2563 39 Versed Versed NNP A34005 2563 40 Scale Scale NNP A34005 2563 41 at at IN A34005 2563 42 7 7 CD A34005 2563 43 and and CC A34005 2563 44 5 5 CD A34005 2563 45 , , , A34005 2563 46 shewing shew VBG A34005 2563 47 the the DT A34005 2563 48 houre houre NN A34005 2563 49 to to TO A34005 2563 50 be be VB A34005 2563 51 either either CC A34005 2563 52 7 7 CD A34005 2563 53 in in IN A34005 2563 54 the the DT A34005 2563 55 morning morning NN A34005 2563 56 , , , A34005 2563 57 or or CC A34005 2563 58 5 5 CD A34005 2563 59 in in IN A34005 2563 60 the the DT A34005 2563 61 afternoon afternoon NN A34005 2563 62 . . . A34005 2564 1 Another another DT A34005 2564 2 Example Example NNP A34005 2564 3 for for IN A34005 2564 4 finding find VBG A34005 2564 5 when when WRB A34005 2564 6 twliight twliight NN A34005 2564 7 begins begin VBZ A34005 2564 8 . . . A34005 2565 1 Let let VB A34005 2565 2 the the DT A34005 2565 3 Suns Suns NNPS A34005 2565 4 Declination Declination NNP A34005 2565 5 be be VB A34005 2565 6 13 13 CD A34005 2565 7 deg deg NN A34005 2565 8 . . . A34005 2566 1 North North NNP A34005 2566 2 , , , A34005 2566 3 the the DT A34005 2566 4 Depression Depression NNP A34005 2566 5 supposed suppose VBD A34005 2566 6 18 18 CD A34005 2566 7 degr degr NN A34005 2566 8 . . . A34005 2567 1 under under IN A34005 2567 2 the the DT A34005 2567 3 Horizon Horizon NNP A34005 2567 4 . . . A34005 2568 1 In in IN A34005 2568 2 stead stead NN A34005 2568 3 of of IN A34005 2568 4 the the DT A34005 2568 5 case case NN A34005 2568 6 propounded propound VBN A34005 2568 7 , , , A34005 2568 8 suppose suppose VB A34005 2568 9 the the DT A34005 2568 10 Sun Sun NNP A34005 2568 11 to to TO A34005 2568 12 have have VB A34005 2568 13 13 13 CD A34005 2568 14 deg deg NN A34005 2568 15 . . . A34005 2569 1 of of IN A34005 2569 2 South South NNP A34005 2569 3 Declination Declination NNP A34005 2569 4 , , , A34005 2569 5 and and CC A34005 2569 6 Altitude altitude NN A34005 2569 7 18 18 CD A34005 2569 8 deg deg NN A34005 2569 9 . . . A34005 2570 1 above above IN A34005 2570 2 the the DT A34005 2570 3 Horizon Horizon NNP A34005 2570 4 accordingly accordingly RB A34005 2570 5 extending extend VBG A34005 2570 6 the the DT A34005 2570 7 thread thread NN A34005 2570 8 through through IN A34005 2570 9 18 18 CD A34005 2570 10 in in IN A34005 2570 11 the the DT A34005 2570 12 Altitudes Altitudes NNPS A34005 2570 13 counted count VBD A34005 2570 14 upward upward RB A34005 2570 15 from from IN A34005 2570 16 O o NN A34005 2570 17 in in IN A34005 2570 18 the the DT A34005 2570 19 line line NN A34005 2570 20 of of IN A34005 2570 21 Altitudes altitude NNS A34005 2570 22 and and CC A34005 2570 23 through through IN A34005 2570 24 13 13 CD A34005 2570 25 deg deg NN A34005 2570 26 . . . A34005 2571 1 counted count VBN A34005 2571 2 downward downward RB A34005 2571 3 in in IN A34005 2571 4 the the DT A34005 2571 5 Curve curve NN A34005 2571 6 from from IN A34005 2571 7 O o NN A34005 2571 8 , , , A34005 2571 9 and and CC A34005 2571 10 upon upon IN A34005 2571 11 the the DT A34005 2571 12 Versed Versed NNP A34005 2571 13 Scale Scale NNP A34005 2571 14 , , , A34005 2571 15 the the DT A34005 2571 16 thread thread NN A34005 2571 17 will will MD A34005 2571 18 shew shew VB A34005 2571 19 that that IN A34005 2571 20 the the DT A34005 2571 21 Twilight Twilight NNP A34005 2571 22 begins begin VBZ A34005 2571 23 at at IN A34005 2571 24 28 28 CD A34005 2571 25 minutes minute NNS A34005 2571 26 past past IN A34005 2571 27 2 2 CD A34005 2571 28 in in IN A34005 2571 29 the the DT A34005 2571 30 morning morning NN A34005 2571 31 , , , A34005 2571 32 and and CC A34005 2571 33 at at IN A34005 2571 34 32 32 CD A34005 2571 35 min min NN A34005 2571 36 . . . A34005 2572 1 past past IN A34005 2572 2 9 9 CD A34005 2572 3 at at IN A34005 2572 4 night night NN A34005 2572 5 . . . A34005 2573 1 3 3 CD A34005 2573 2 The the DT A34005 2573 3 Converse Converse NNP A34005 2573 4 of of IN A34005 2573 5 the the DT A34005 2573 6 last last JJ A34005 2573 7 Proposition proposition NN A34005 2573 8 is be VBZ A34005 2573 9 to to TO A34005 2573 10 find find VB A34005 2573 11 the the DT A34005 2573 12 Suns Suns NNPS A34005 2573 13 altitudes altitude NNS A34005 2573 14 on on IN A34005 2573 15 all all DT A34005 2573 16 houres houre NNS A34005 2573 17 . . . A34005 2574 1 EXtend extend VB A34005 2574 2 the the DT A34005 2574 3 thread thread NN A34005 2574 4 over over IN A34005 2574 5 the the DT A34005 2574 6 houre houre NN A34005 2574 7 proposed propose VBN A34005 2574 8 in in IN A34005 2574 9 the the DT A34005 2574 10 versed versed JJ A34005 2574 11 Scale Scale NNP A34005 2574 12 and and CC A34005 2574 13 also also RB A34005 2574 14 over over IN A34005 2574 15 the the DT A34005 2574 16 Declination declination NN A34005 2574 17 in in IN A34005 2574 18 the the DT A34005 2574 19 Curve curve NN A34005 2574 20 counted count VBD A34005 2574 21 upward upward RB A34005 2574 22 if if IN A34005 2574 23 North North NNP A34005 2574 24 , , , A34005 2574 25 downward downward RB A34005 2574 26 if if IN A34005 2574 27 South South NNP A34005 2574 28 . . . A34005 2575 1 And and CC A34005 2575 2 in in IN A34005 2575 3 the the DT A34005 2575 4 Scale scale NN A34005 2575 5 of of IN A34005 2575 6 Altitudes Altitudes NNPS A34005 2575 7 it -PRON- PRP A34005 2575 8 shewes shew VBD A34005 2575 9 the the DT A34005 2575 10 Altitude altitude NN A34005 2575 11 sought seek VBD A34005 2575 12 . . . A34005 2576 1 Example example NN A34005 2576 2 . . . A34005 2577 1 If if IN A34005 2577 2 the the DT A34005 2577 3 Sun Sun NNP A34005 2577 4 have have VBP A34005 2577 5 13 13 CD A34005 2577 6 deg deg NN A34005 2577 7 . . . A34005 2578 1 of of IN A34005 2578 2 North North NNP A34005 2578 3 Declination Declination NNP A34005 2578 4 his -PRON- PRP$ A34005 2578 5 Altitude altitude NN A34005 2578 6 for for IN A34005 2578 7 the the DT A34005 2578 8 houre houre NN A34005 2578 9 of of IN A34005 2578 10 7 7 CD A34005 2578 11 in in IN A34005 2578 12 the the DT A34005 2578 13 morning morning NN A34005 2578 14 , , , A34005 2578 15 or or CC A34005 2578 16 5 5 CD A34005 2578 17 in in IN A34005 2578 18 the the DT A34005 2578 19 after after NN A34005 2578 20 - - HYPH A34005 2578 21 noon noon NN A34005 2578 22 will will MD A34005 2578 23 be be VB A34005 2578 24 found find VBN A34005 2578 25 to to TO A34005 2578 26 be be VB A34005 2578 27 19 19 CD A34005 2578 28 deg deg NN A34005 2578 29 . . . A34005 2579 1 27′ 27′ CD A34005 2579 2 . . . A34005 2580 1 In in IN A34005 2580 2 the the DT A34005 2580 3 following follow VBG A34005 2580 4 Propositions proposition NNS A34005 2580 5 the the DT A34005 2580 6 altitude altitude NN A34005 2580 7 must must MD A34005 2580 8 alwayes alwaye NNS A34005 2580 9 be be VB A34005 2580 10 counted count VBN A34005 2580 11 from from IN A34005 2580 12 O o NN A34005 2580 13 in in IN A34005 2580 14 the the DT A34005 2580 15 Curve curve NN A34005 2580 16 downwards downward NNS A34005 2580 17 , , , A34005 2580 18 and and CC A34005 2580 19 the the DT A34005 2580 20 Declination declination NN A34005 2580 21 in in IN A34005 2580 22 the the DT A34005 2580 23 line line NN A34005 2580 24 of of IN A34005 2580 25 altitudes altitude NNS A34005 2580 26 , , , A34005 2580 27 if if IN A34005 2580 28 North North NNP A34005 2580 29 downward downward RB A34005 2580 30 , , , A34005 2580 31 if if IN A34005 2580 32 South South NNP A34005 2580 33 upwards upward NNS A34005 2580 34 . . . A34005 2581 1 4 4 LS A34005 2581 2 To to TO A34005 2581 3 find find VB A34005 2581 4 the the DT A34005 2581 5 Suns Suns NNPS A34005 2581 6 Amplitude Amplitude NNP A34005 2581 7 or or CC A34005 2581 8 coast coast NN A34005 2581 9 of of IN A34005 2581 10 rising rise VBG A34005 2581 11 and and CC A34005 2581 12 setting set VBG A34005 2581 13 . . . A34005 2582 1 Example example NN A34005 2582 2 . . . A34005 2583 1 If if IN A34005 2583 2 the the DT A34005 2583 3 Sun Sun NNP A34005 2583 4 had have VBD A34005 2583 5 20 20 CD A34005 2583 6 deg deg NN A34005 2583 7 . . . A34005 2584 1 of of IN A34005 2584 2 Declination Declination NNP A34005 2584 3 the the DT A34005 2584 4 thread thread NN A34005 2584 5 being be VBG A34005 2584 6 laid lay VBN A34005 2584 7 to to IN A34005 2584 8 O o NN A34005 2584 9 in in IN A34005 2584 10 the the DT A34005 2584 11 Curve curve NN A34005 2584 12 , , , A34005 2584 13 and and CC A34005 2584 14 to to IN A34005 2584 15 20 20 CD A34005 2584 16 in in IN A34005 2584 17 the the DT A34005 2584 18 line line NN A34005 2584 19 of of IN A34005 2584 20 altitudes altitude NNS A34005 2584 21 or or CC A34005 2584 22 Declinations declination NNS A34005 2584 23 , , , A34005 2584 24 either either CC A34005 2584 25 upwards upward NNS A34005 2584 26 or or CC A34005 2584 27 downwards downwards RB A34005 2584 28 the the DT A34005 2584 29 thread thread NN A34005 2584 30 will will MD A34005 2584 31 lye lye VB A34005 2584 32 33 33 CD A34005 2584 33 deg deg NN A34005 2584 34 . . . A34005 2585 1 21′ 21′ CD A34005 2585 2 from from IN A34005 2585 3 90 90 CD A34005 2585 4 in in IN A34005 2585 5 the the DT A34005 2585 6 Versed Versed NNP A34005 2585 7 Scale Scale NNP A34005 2585 8 , , , A34005 2585 9 for for IN A34005 2585 10 the the DT A34005 2585 11 quantity quantity NN A34005 2585 12 of of IN A34005 2585 13 the the DT A34005 2585 14 Suns Suns NNPS A34005 2585 15 Coast Coast NNP A34005 2585 16 of of IN A34005 2585 17 rising rise VBG A34005 2585 18 or or CC A34005 2585 19 setting set VBG A34005 2585 20 from from IN A34005 2585 21 the the DT A34005 2585 22 true true JJ A34005 2585 23 East East NNP A34005 2585 24 or or CC A34005 2585 25 West West NNP A34005 2585 26 in in IN A34005 2585 27 Winter Winter NNP A34005 2585 28 Southward Southward NNP A34005 2585 29 , , , A34005 2585 30 in in IN A34005 2585 31 Summer Summer NNP A34005 2585 32 Norhward Norhward NNP A34005 2585 33 . . . A34005 2586 1 5 5 CD A34005 2586 2 The the DT A34005 2586 3 Suns Suns NNPS A34005 2586 4 altitude altitude NN A34005 2586 5 and and CC A34005 2586 6 Declination declination NN A34005 2586 7 being be VBG A34005 2586 8 proposed propose VBN A34005 2586 9 to to TO A34005 2586 10 find find VB A34005 2586 11 his -PRON- PRP$ A34005 2586 12 Azimuth azimuth NN A34005 2586 13 . . . A34005 2587 1 COunt count VB A34005 2587 2 the the DT A34005 2587 3 altitude altitude NN A34005 2587 4 from from IN A34005 2587 5 O o NN A34005 2587 6 in in IN A34005 2587 7 the the DT A34005 2587 8 Curve curve NN A34005 2587 9 downward downward RB A34005 2587 10 , , , A34005 2587 11 and and CC A34005 2587 12 the the DT A34005 2587 13 declination declination NN A34005 2587 14 in in IN A34005 2587 15 the the DT A34005 2587 16 Winter Winter NNP A34005 2587 17 upon upon IN A34005 2587 18 the the DT A34005 2587 19 line line NN A34005 2587 20 of of IN A34005 2587 21 Declinations declination NNS A34005 2587 22 from from IN A34005 2587 23 O o NN A34005 2587 24 upwards upward NNS A34005 2587 25 , , , A34005 2587 26 in in IN A34005 2587 27 Summer summer NN A34005 2587 28 downwards downwards RB A34005 2587 29 , , , A34005 2587 30 and and CC A34005 2587 31 the the DT A34005 2587 32 thread thread NN A34005 2587 33 extended extend VBD A34005 2587 34 sheweth sheweth NNP A34005 2587 35 the the DT A34005 2587 36 Azimuth Azimuth NNP A34005 2587 37 sought seek VBN A34005 2587 38 , , , A34005 2587 39 on on IN A34005 2587 40 the the DT A34005 2587 41 Versed Versed NNP A34005 2587 42 Scale Scale NNP A34005 2587 43 . . . A34005 2588 1 Example example NN A34005 2588 2 . . . A34005 2589 1 So so RB A34005 2589 2 when when WRB A34005 2589 3 the the DT A34005 2589 4 Sun Sun NNP A34005 2589 5 hath hath NNP A34005 2589 6 18 18 CD A34005 2589 7 deg deg NN A34005 2589 8 . . . A34005 2590 1 37′ 37′ CD A34005 2590 2 of of IN A34005 2590 3 North North NNP A34005 2590 4 Declination Declination NNP A34005 2590 5 , , , A34005 2590 6 as as IN A34005 2590 7 as as IN A34005 2590 8 about about RB A34005 2590 9 19 19 CD A34005 2590 10 July July NNP A34005 2590 11 , , , A34005 2590 12 if if IN A34005 2590 13 his -PRON- PRP$ A34005 2590 14 altitude altitude NN A34005 2590 15 were be VBD A34005 2590 16 39 39 CD A34005 2590 17 deg deg NN A34005 2590 18 . . . A34005 2591 1 the the DT A34005 2591 2 Suns Suns NNPS A34005 2591 3 Azimuth Azimuth NNP A34005 2591 4 would would MD A34005 2591 5 be be VB A34005 2591 6 found find VBN A34005 2591 7 to to TO A34005 2591 8 be be VB A34005 2591 9 69 69 CD A34005 2591 10 deg deg NN A34005 2591 11 . . . A34005 2592 1 from from IN A34005 2592 2 the the DT A34005 2592 3 South South NNP A34005 2592 4 . . . A34005 2593 1 6 6 CD A34005 2593 2 The the DT A34005 2593 3 Converse Converse NNP A34005 2593 4 of of IN A34005 2593 5 the the DT A34005 2593 6 former former JJ A34005 2593 7 Proposition Proposition NNP A34005 2593 8 will will MD A34005 2593 9 be be VB A34005 2593 10 to to TO A34005 2593 11 find find VB A34005 2593 12 the the DT A34005 2593 13 Suns Suns NNPS A34005 2593 14 Altitude Altitude NNP A34005 2593 15 on on IN A34005 2593 16 all all DT A34005 2593 17 Azimuths azimuth NNS A34005 2593 18 . . . A34005 2594 1 THe the DT A34005 2594 2 Instrument Instrument NNP A34005 2594 3 will will MD A34005 2594 4 perform perform VB A34005 2594 5 this this DT A34005 2594 6 Proposition Proposition NNP A34005 2594 7 though though IN A34005 2594 8 the the DT A34005 2594 9 Porportion Porportion NNP A34005 2594 10 for for IN A34005 2594 11 finding find VBG A34005 2594 12 the the DT A34005 2594 13 Azimuth Azimuth NNP A34005 2594 14 can can MD A34005 2594 15 not not RB A34005 2594 16 be be VB A34005 2594 17 inverted invert VBN A34005 2594 18 . . . A34005 2595 1 Lay lay VB A34005 2595 2 the the DT A34005 2595 3 thread thread NN A34005 2595 4 to to IN A34005 2595 5 the the DT A34005 2595 6 azimuth azimuth NN A34005 2595 7 in in IN A34005 2595 8 the the DT A34005 2595 9 Versed Versed NNP A34005 2595 10 Scale Scale NNP A34005 2595 11 , , , A34005 2595 12 and and CC A34005 2595 13 to to IN A34005 2595 14 the the DT A34005 2595 15 Declination declination NN A34005 2595 16 in in IN A34005 2595 17 the the DT A34005 2595 18 Scale Scale NNP A34005 2595 19 on on IN A34005 2595 20 the the DT A34005 2595 21 left left JJ A34005 2595 22 edge edge NN A34005 2595 23 , , , A34005 2595 24 and and CC A34005 2595 25 upon upon IN A34005 2595 26 the the DT A34005 2595 27 Curve curve NN A34005 2595 28 it -PRON- PRP A34005 2595 29 will will MD A34005 2595 30 intersect intersect VB A34005 2595 31 the the DT A34005 2595 32 altitude altitude NN A34005 2595 33 sought seek VBN A34005 2595 34 . . . A34005 2596 1 Example example NN A34005 2596 2 . . . A34005 2597 1 If if IN A34005 2597 2 the the DT A34005 2597 3 Sun Sun NNP A34005 2597 4 had have VBD A34005 2597 5 16 16 CD A34005 2597 6 deg deg NN A34005 2597 7 . . . A34005 2598 1 13′ 13′ CD A34005 2598 2 of of IN A34005 2598 3 South South NNP A34005 2598 4 Declination Declination NNP A34005 2598 5 , , , A34005 2598 6 as as IN A34005 2598 7 about about IN A34005 2598 8 the the DT A34005 2598 9 27th 27th NN A34005 2598 10 of of IN A34005 2598 11 October October NNP A34005 2598 12 , , , A34005 2598 13 if if IN A34005 2598 14 his -PRON- PRP$ A34005 2598 15 Azimuth Azimuth NNP A34005 2598 16 were be VBD A34005 2598 17 39 39 CD A34005 2598 18 deg deg NN A34005 2598 19 . . . A34005 2599 1 from from IN A34005 2599 2 the the DT A34005 2599 3 South South NNP A34005 2599 4 the the DT A34005 2599 5 altitude altitude NN A34005 2599 6 agreeable agreeable NN A34005 2599 7 thereto thereto NNP A34005 2599 8 would would MD A34005 2599 9 be be VB A34005 2599 10 found find VBN A34005 2599 11 to to TO A34005 2599 12 be be VB A34005 2599 13 14 14 CD A34005 2599 14 deg deg NN A34005 2599 15 . . . A34005 2600 1 These these DT A34005 2600 2 Uses use NNS A34005 2600 3 being be VBG A34005 2600 4 understood understand VBN A34005 2600 5 ▪ ▪ NN A34005 2600 6 if if IN A34005 2600 7 the the DT A34005 2600 8 houre houre NN A34005 2600 9 and and CC A34005 2600 10 altitude altitude NN A34005 2600 11 or or CC A34005 2600 12 the the DT A34005 2600 13 azimuth azimuth NN A34005 2600 14 and and CC A34005 2600 15 altitude altitude NN A34005 2600 16 were be VBD A34005 2600 17 given give VBN A34005 2600 18 to to TO A34005 2600 19 find find VB A34005 2600 20 the the DT A34005 2600 21 Declination Declination NNP A34005 2600 22 , , , A34005 2600 23 the the DT A34005 2600 24 manner manner NN A34005 2600 25 of of IN A34005 2600 26 performance performance NN A34005 2600 27 can can MD A34005 2600 28 not not RB A34005 2600 29 lurke lurke VB A34005 2600 30 . . . A34005 2601 1 Of of IN A34005 2601 2 the the DT A34005 2601 3 Houre Houre NNP A34005 2601 4 and and CC A34005 2601 5 Azimuth Azimuth NNP A34005 2601 6 Scale Scale NNP A34005 2601 7 on on IN A34005 2601 8 the the DT A34005 2601 9 right right JJ A34005 2601 10 Edge edge NN A34005 2601 11 of of IN A34005 2601 12 the the DT A34005 2601 13 Quadrant Quadrant NNP A34005 2601 14 . . . A34005 2602 1 THis this DT A34005 2602 2 Scale scale NN A34005 2602 3 being being NN A34005 2602 4 added add VBN A34005 2602 5 by by IN A34005 2602 6 my -PRON- PRP$ A34005 2602 7 selfe selfe NN A34005 2602 8 , , , A34005 2602 9 and and CC A34005 2602 10 derived derive VBN A34005 2602 11 from from IN A34005 2602 12 Proportions Proportions NNP A34005 2602 13 in in IN A34005 2602 14 the the DT A34005 2602 15 Analemma Analemma NNP A34005 2602 16 , , , A34005 2602 17 I -PRON- PRP A34005 2602 18 shall shall MD A34005 2602 19 first first RB A34005 2602 20 lay lay VB A34005 2602 21 them -PRON- PRP A34005 2602 22 down down RP A34005 2602 23 , , , A34005 2602 24 and and CC A34005 2602 25 then then RB A34005 2602 26 apply apply VB A34005 2602 27 them -PRON- PRP A34005 2602 28 . . . A34005 2603 1 In in IN A34005 2603 2 the the DT A34005 2603 3 former former JJ A34005 2603 4 Scheme Scheme NNP A34005 2603 5 draw draw VB A34005 2603 6 F F NNP A34005 2603 7 C C NNP A34005 2603 8 V V NNP A34005 2603 9 the the DT A34005 2603 10 Horizon Horizon NNP A34005 2603 11 , , , A34005 2603 12 Z Z NNP A34005 2603 13 C C NNP A34005 2603 14 the the DT A34005 2603 15 Axis Axis NNP A34005 2603 16 of of IN A34005 2603 17 the the DT A34005 2603 18 Horizon Horizon NNP A34005 2603 19 , , , A34005 2603 20 C C NNP A34005 2603 21 P p NN A34005 2603 22 the the DT A34005 2603 23 axis axi NNS A34005 2603 24 of of IN A34005 2603 25 the the DT A34005 2603 26 Spheare Spheare NNP A34005 2603 27 G G NNP A34005 2603 28 C C NNP A34005 2603 29 continued continue VBD A34005 2603 30 to to IN A34005 2603 31 N n CD A34005 2603 32 the the DT A34005 2603 33 Equator equator NN A34005 2603 34 , , , A34005 2603 35 O o UH A34005 2603 36 L l NN A34005 2603 37 a a DT A34005 2603 38 parallel parallel NN A34005 2603 39 of of IN A34005 2603 40 North North NNP A34005 2603 41 , , , A34005 2603 42 and and CC A34005 2603 43 E e VB A34005 2603 44 I -PRON- PRP A34005 2603 45 a a DT A34005 2603 46 parallel parallel NN A34005 2603 47 of of IN A34005 2603 48 South South NNP A34005 2603 49 Declination Declination NNP A34005 2603 50 , , , A34005 2603 51 W W NNP A34005 2603 52 X x NN A34005 2603 53 a a DT A34005 2603 54 parallel parallel NN A34005 2603 55 of of IN A34005 2603 56 winter winter NN A34005 2603 57 altitude altitude NN A34005 2603 58 , , , A34005 2603 59 S S NNP A34005 2603 60 L L NNP A34005 2603 61 a a DT A34005 2603 62 parallel parallel NN A34005 2603 63 of of IN A34005 2603 64 altitude altitude NN A34005 2603 65 lesse lesse NN A34005 2603 66 then then RB A34005 2603 67 the the DT A34005 2603 68 Complement Complement NNP A34005 2603 69 of of IN A34005 2603 70 the the DT A34005 2603 71 latitude latitude NN A34005 2603 72 , , , A34005 2603 73 N n NN A34005 2603 74 Z z NN A34005 2603 75 P p NN A34005 2603 76 a a DT A34005 2603 77 parallel parallel NN A34005 2603 78 of of IN A34005 2603 79 greater great JJR A34005 2603 80 altitude altitude NN A34005 2603 81 , , , A34005 2603 82 and and CC A34005 2603 83 from from IN A34005 2603 84 the the DT A34005 2603 85 points point NNS A34005 2603 86 E E NNP A34005 2603 87 and and CC A34005 2603 88 B. B. NNP A34005 2603 89 let let VBD A34005 2603 90 fall fall VB A34005 2603 91 the the DT A34005 2603 92 perpendiculars perpendicular NNS A34005 2603 93 E E NNP A34005 2603 94 F f NN A34005 2603 95 and and CC A34005 2603 96 B B NNP A34005 2603 97 H H NNP A34005 2603 98 , , , A34005 2603 99 and and CC A34005 2603 100 from from IN A34005 2603 101 the the DT A34005 2603 102 points point NNS A34005 2603 103 B B NNP A34005 2603 104 G G NNP A34005 2603 105 and and CC A34005 2603 106 N n NN A34005 2603 107 let let VBD A34005 2603 108 fall fall VB A34005 2603 109 the the DT A34005 2603 110 perpendiculars perpendicular NNS A34005 2603 111 B B NNP A34005 2603 112 G g NN A34005 2603 113 , , , A34005 2603 114 G G NNP A34005 2603 115 M M NNP A34005 2603 116 , , , A34005 2603 117 and and CC A34005 2603 118 N n NN A34005 2603 119 O o NN A34005 2603 120 which which WDT A34005 2603 121 will will MD A34005 2603 122 be be VB A34005 2603 123 the the DT A34005 2603 124 sines sine NNS A34005 2603 125 of of IN A34005 2603 126 the the DT A34005 2603 127 Suns Suns NNPS A34005 2603 128 declination declination NN A34005 2603 129 , , , A34005 2603 130 by by IN A34005 2603 131 this this DT A34005 2603 132 meanes meane NNS A34005 2603 133 there there EX A34005 2603 134 will will MD A34005 2603 135 be be VB A34005 2603 136 divers diver NNS A34005 2603 137 right right RB A34005 2603 138 lined line VBN A34005 2603 139 right right RB A34005 2603 140 angled angle VBN A34005 2603 141 plaine plaine JJ A34005 2603 142 Triangles Triangles NNPS A34005 2603 143 constituted constitute VBD A34005 2603 144 from from IN A34005 2603 145 whence whence NN A34005 2603 146 are be VBP A34005 2603 147 educed educe VBN A34005 2603 148 , , , A34005 2603 149 the the DT A34005 2603 150 Proportions Proportions NNPS A34005 2603 151 following follow VBG A34005 2603 152 to to TO A34005 2603 153 calculate calculate VB A34005 2603 154 the the DT A34005 2603 155 Suns Suns NNP A34005 2603 156 houre houre NN A34005 2603 157 or or CC A34005 2603 158 Azimuth Azimuth NNP A34005 2603 159 . . . A34005 2604 1 Note note VB A34005 2604 2 , , , A34005 2604 3 first first RB A34005 2604 4 , , , A34005 2604 5 that that IN A34005 2604 6 T t NN A34005 2604 7 V v NN A34005 2604 8 is be VBZ A34005 2604 9 the the DT A34005 2604 10 Versed versed JJ A34005 2604 11 sine sine NN A34005 2604 12 of of IN A34005 2604 13 the the DT A34005 2604 14 Semidiurnal Semidiurnal NNP A34005 2604 15 arke arke NNS A34005 2604 16 in in IN A34005 2604 17 Summer summer NN A34005 2604 18 , , , A34005 2604 19 and and CC A34005 2604 20 E e UH A34005 2604 21 I -PRON- PRP A34005 2604 22 in in IN A34005 2604 23 Winter Winter NNP A34005 2604 24 , , , A34005 2604 25 and and CC A34005 2604 26 Y y NN A34005 2604 27 V v NN A34005 2604 28 the the DT A34005 2604 29 sine sine NN A34005 2604 30 of of IN A34005 2604 31 the the DT A34005 2604 32 houre houre NN A34005 2604 33 of of IN A34005 2604 34 rising rise VBG A34005 2604 35 before before IN A34005 2604 36 six six CD A34005 2604 37 in in IN A34005 2604 38 Summer summer NN A34005 2604 39 , , , A34005 2604 40 equal equal JJ A34005 2604 41 to to IN A34005 2604 42 the the DT A34005 2604 43 distance distance NN A34005 2604 44 of of IN A34005 2604 45 I -PRON- PRP A34005 2604 46 from from IN A34005 2604 47 the the DT A34005 2604 48 Axis Axis NNP A34005 2604 49 continued continue VBN A34005 2604 50 in in IN A34005 2604 51 Winter Winter NNP A34005 2604 52 , , , A34005 2604 53 which which WDT A34005 2604 54 may may MD A34005 2604 55 be be VB A34005 2604 56 found find VBN A34005 2604 57 in in IN A34005 2604 58 the the DT A34005 2604 59 Triangle Triangle NNP A34005 2604 60 C C NNP A34005 2604 61 Y y NN A34005 2604 62 V v NN A34005 2604 63 , , , A34005 2604 64 but but CC A34005 2604 65 the the DT A34005 2604 66 Proportion Proportion NNP A34005 2604 67 is be VBZ A34005 2604 68 . . . A34005 2605 1 As as IN A34005 2605 2 the the DT A34005 2605 3 Cotangent Cotangent NNP A34005 2605 4 of of IN A34005 2605 5 the the DT A34005 2605 6 latitude latitude NN A34005 2605 7 , , , A34005 2605 8 To to IN A34005 2605 9 Radius Radius NNP A34005 2605 10 . . . A34005 2606 1 So so RB A34005 2606 2 the the DT A34005 2606 3 Tangent tangent NN A34005 2606 4 of of IN A34005 2606 5 the the DT A34005 2606 6 Suns Suns NNPS A34005 2606 7 Declination Declination NNP A34005 2606 8 , , , A34005 2606 9 To to IN A34005 2606 10 the the DT A34005 2606 11 sine sine NN A34005 2606 12 of of IN A34005 2606 13 his -PRON- PRP$ A34005 2606 14 ascentional ascentional JJ A34005 2606 15 difference difference NN A34005 2606 16 , , , A34005 2606 17 being be VBG A34005 2606 18 the the DT A34005 2606 19 time time NN A34005 2606 20 of of IN A34005 2606 21 his -PRON- PRP$ A34005 2606 22 rising rise VBG A34005 2606 23 from from IN A34005 2606 24 six six CD A34005 2606 25 , , , A34005 2606 26 thus thus RB A34005 2606 27 we -PRON- PRP A34005 2606 28 may may MD A34005 2606 29 attaine attaine VB A34005 2606 30 the the DT A34005 2606 31 Semidiurnal Semidiurnal NNP A34005 2606 32 arke arke NNS A34005 2606 33 . . . A34005 2607 1 Then then RB A34005 2607 2 for for IN A34005 2607 3 the the DT A34005 2607 4 houre houre NN A34005 2607 5 in in IN A34005 2607 6 the the DT A34005 2607 7 Triangle Triangle NNP A34005 2607 8 B B NNP A34005 2607 9 H H NNP A34005 2607 10 I -PRON- PRP A34005 2607 11 it -PRON- PRP A34005 2607 12 holds hold VBZ A34005 2607 13 . . . A34005 2608 1 As as IN A34005 2608 2 the the DT A34005 2608 3 Cosine Cosine NNP A34005 2608 4 of of IN A34005 2608 5 the the DT A34005 2608 6 latitude latitude NN A34005 2608 7 , , , A34005 2608 8 to to IN A34005 2608 9 the the DT A34005 2608 10 sine sine NN A34005 2608 11 of of IN A34005 2608 12 the the DT A34005 2608 13 altitude altitude NN A34005 2608 14 . . . A34005 2609 1 So so RB A34005 2609 2 is be VBZ A34005 2609 3 the the DT A34005 2609 4 Secant Secant NNP A34005 2609 5 of of IN A34005 2609 6 the the DT A34005 2609 7 Declination Declination NNP A34005 2609 8 . . . A34005 2610 1 To to IN A34005 2610 2 the the DT A34005 2610 3 difference difference NN A34005 2610 4 of of IN A34005 2610 5 the the DT A34005 2610 6 Versed versed JJ A34005 2610 7 sines sine NNS A34005 2610 8 of of IN A34005 2610 9 the the DT A34005 2610 10 Semidiurnals Semidiurnals NNPS A34005 2610 11 arke arke NNS A34005 2610 12 , , , A34005 2610 13 and and CC A34005 2610 14 of of IN A34005 2610 15 the the DT A34005 2610 16 houre houre NN A34005 2610 17 sought seek VBD A34005 2610 18 . . . A34005 2611 1 In in IN A34005 2611 2 the the DT A34005 2611 3 Triangle Triangle NNP A34005 2611 4 B B NNP A34005 2611 5 H H NNP A34005 2611 6 I -PRON- PRP A34005 2611 7 it -PRON- PRP A34005 2611 8 leys ley VBZ A34005 2611 9 . . . A34005 2612 1 As as IN A34005 2612 2 the the DT A34005 2612 3 Cosine Cosine NNP A34005 2612 4 of of IN A34005 2612 5 the the DT A34005 2612 6 Latitude Latitude NNP A34005 2612 7 the the DT A34005 2612 8 sine sine NN A34005 2612 9 of of IN A34005 2612 10 the the DT A34005 2612 11 angle angle NN A34005 2612 12 at at IN A34005 2612 13 I. I. NNP A34005 2613 1 To to IN A34005 2613 2 its -PRON- PRP$ A34005 2613 3 opposite opposite JJ A34005 2613 4 side side NN A34005 2613 5 B b NN A34005 2613 6 H h NN A34005 2613 7 the the DT A34005 2613 8 sine sine NN A34005 2613 9 of of IN A34005 2613 10 the the DT A34005 2613 11 altitude altitude NN A34005 2613 12 . . . A34005 2614 1 So so RB A34005 2614 2 is be VBZ A34005 2614 3 the the DT A34005 2614 4 Radius Radius NNP A34005 2614 5 or or CC A34005 2614 6 the the DT A34005 2614 7 angle angle NN A34005 2614 8 at at IN A34005 2614 9 H. h. NN A34005 2614 10 To to IN A34005 2614 11 B B NNP A34005 2614 12 I I NNP A34005 2614 13 h h NN A34005 2614 14 difference difference NN A34005 2614 15 of of IN A34005 2614 16 the the DT A34005 2614 17 Versed versed JJ A34005 2614 18 sine sine NN A34005 2614 19 of of IN A34005 2614 20 the the DT A34005 2614 21 Semidiurnal Semidiurnal NNP A34005 2614 22 arke arke NNS A34005 2614 23 , , , A34005 2614 24 and and CC A34005 2614 25 of of IN A34005 2614 26 the the DT A34005 2614 27 houre houre NN A34005 2614 28 sought seek VBD A34005 2614 29 , , , A34005 2614 30 in in IN A34005 2614 31 the the DT A34005 2614 32 parallel parallel NN A34005 2614 33 of of IN A34005 2614 34 declination declination NN A34005 2614 35 and and CC A34005 2614 36 by by IN A34005 2614 37 consequence consequence NN A34005 2614 38 , , , A34005 2614 39 so so RB A34005 2614 40 is be VBZ A34005 2614 41 the the DT A34005 2614 42 secant secant NN A34005 2614 43 of of IN A34005 2614 44 the the DT A34005 2614 45 Declination Declination NNP A34005 2614 46 , , , A34005 2614 47 to to IN A34005 2614 48 the the DT A34005 2614 49 said say VBN A34005 2614 50 difference difference NN A34005 2614 51 in in IN A34005 2614 52 the the DT A34005 2614 53 Common Common NNP A34005 2614 54 Radius Radius NNP A34005 2614 55 as as IN A34005 2614 56 we -PRON- PRP A34005 2614 57 have have VBP A34005 2614 58 else else RB A34005 2614 59 where where WRB A34005 2614 60 noted note VBN A34005 2614 61 , , , A34005 2614 62 if if IN A34005 2614 63 this this DT A34005 2614 64 difference difference NN A34005 2614 65 be be VB A34005 2614 66 subtracted subtract VBN A34005 2614 67 from from IN A34005 2614 68 the the DT A34005 2614 69 Versed versed JJ A34005 2614 70 sine sine NN A34005 2614 71 of of IN A34005 2614 72 the the DT A34005 2614 73 semidiurnal semidiurnal JJ A34005 2614 74 arke arke NNS A34005 2614 75 there there EX A34005 2614 76 will will MD A34005 2614 77 remaine remaine VB A34005 2614 78 E E NNP A34005 2614 79 B B NNP A34005 2614 80 the the DT A34005 2614 81 versed versed JJ A34005 2614 82 sine sine NN A34005 2614 83 of of IN A34005 2614 84 the the DT A34005 2614 85 houre houre NN A34005 2614 86 from from IN A34005 2614 87 noon noon NN A34005 2614 88 , , , A34005 2614 89 the the DT A34005 2614 90 like like JJ A34005 2614 91 holds hold VBZ A34005 2614 92 , , , A34005 2614 93 if if IN A34005 2614 94 perpendiculars perpendicular NNS A34005 2614 95 be be VBP A34005 2614 96 let let VBN A34005 2614 97 fall fall VB A34005 2614 98 from from IN A34005 2614 99 any any DT A34005 2614 100 other other JJ A34005 2614 101 parallel parallel NN A34005 2614 102 of of IN A34005 2614 103 Declination declination NN A34005 2614 104 , , , A34005 2614 105 from from IN A34005 2614 106 the the DT A34005 2614 107 same same JJ A34005 2614 108 Scheme Scheme NNP A34005 2614 109 it -PRON- PRP A34005 2614 110 also also RB A34005 2614 111 followes follow VBZ A34005 2614 112 . . . A34005 2615 1 As as IN A34005 2615 2 the the DT A34005 2615 3 Cosine Cosine NNP A34005 2615 4 of of IN A34005 2615 5 the the DT A34005 2615 6 Latitude Latitude NNP A34005 2615 7 , , , A34005 2615 8 Is be VBZ A34005 2615 9 to to IN A34005 2615 10 the the DT A34005 2615 11 secant secant NN A34005 2615 12 of of IN A34005 2615 13 the the DT A34005 2615 14 Declination Declination NNP A34005 2615 15 . . . A34005 2616 1 So so RB A34005 2616 2 is be VBZ A34005 2616 3 the the DT A34005 2616 4 sine sine NN A34005 2616 5 of of IN A34005 2616 6 the the DT A34005 2616 7 Meridian Meridian NNP A34005 2616 8 Altitude Altitude NNP A34005 2616 9 . . . A34005 2617 1 To to IN A34005 2617 2 the the DT A34005 2617 3 versed versed JJ A34005 2617 4 sine sine NN A34005 2617 5 of of IN A34005 2617 6 the the DT A34005 2617 7 semidiurnal semidiurnal JJ A34005 2617 8 arke arke NNS A34005 2617 9 . . . A34005 2618 1 Here here RB A34005 2618 2 observe observe VB A34005 2618 3 the the DT A34005 2618 4 like like JJ A34005 2618 5 Proportion proportion NN A34005 2618 6 between between IN A34005 2618 7 the the DT A34005 2618 8 two two CD A34005 2618 9 latter latter JJ A34005 2618 10 terms term NNS A34005 2618 11 , , , A34005 2618 12 as as IN A34005 2618 13 between between IN A34005 2618 14 the the DT A34005 2618 15 two two CD A34005 2618 16 former former JJ A34005 2618 17 which which WDT A34005 2618 18 may may MD A34005 2618 19 be be VB A34005 2618 20 of of IN A34005 2618 21 use use NN A34005 2618 22 on on IN A34005 2618 23 a a DT A34005 2618 24 Sector sector NN A34005 2618 25 . . . A34005 2619 1 If if IN A34005 2619 2 the the DT A34005 2619 3 Scheme Scheme NNP A34005 2619 4 be be VB A34005 2619 5 considered consider VBN A34005 2619 6 not not RB A34005 2619 7 as as RB A34005 2619 8 fitted fit VBN A34005 2619 9 to to IN A34005 2619 10 a a DT A34005 2619 11 peculiar peculiar JJ A34005 2619 12 question question NN A34005 2619 13 for for IN A34005 2619 14 finding find VBG A34005 2619 15 the the DT A34005 2619 16 houre houre NN A34005 2619 17 , , , A34005 2619 18 but but CC A34005 2619 19 as as IN A34005 2619 20 having have VBG A34005 2619 21 three three CD A34005 2619 22 sides side NNS A34005 2619 23 to to TO A34005 2619 24 find find VB A34005 2619 25 an an DT A34005 2619 26 angle angle NN A34005 2619 27 , , , A34005 2619 28 it -PRON- PRP A34005 2619 29 will will MD A34005 2619 30 be be VB A34005 2619 31 found find VBN A34005 2619 32 upon upon IN A34005 2619 33 such such PDT A34005 2619 34 a a DT A34005 2619 35 consideration consideration NN A34005 2619 36 in in IN A34005 2619 37 relation relation NN A34005 2619 38 to to IN A34005 2619 39 the the DT A34005 2619 40 change change NN A34005 2619 41 of of IN A34005 2619 42 sides side NNS A34005 2619 43 , , , A34005 2619 44 that that IN A34005 2619 45 the the DT A34005 2619 46 Proportion proportion NN A34005 2619 47 for for IN A34005 2619 48 the the DT A34005 2619 49 Azimuth Azimuth NNP A34005 2619 50 following follow VBG A34005 2619 51 is be VBZ A34005 2619 52 no no DT A34005 2619 53 other other JJ A34005 2619 54 then then RB A34005 2619 55 the the DT A34005 2619 56 same same JJ A34005 2619 57 Proportion Proportion NNP A34005 2619 58 applyed apply VBD A34005 2619 59 , , , A34005 2619 60 to to IN A34005 2619 61 other other JJ A34005 2619 62 sides side NNS A34005 2619 63 of of IN A34005 2619 64 the the DT A34005 2619 65 Triangle Triangle NNP A34005 2619 66 , , , A34005 2619 67 and and CC A34005 2619 68 so so RB A34005 2619 69 we -PRON- PRP A34005 2619 70 need need VBP A34005 2619 71 have have VB A34005 2619 72 no no DT A34005 2619 73 other other JJ A34005 2619 74 trouble trouble NN A34005 2619 75 to to TO A34005 2619 76 come come VB A34005 2619 77 by by IN A34005 2619 78 a a DT A34005 2619 79 Proportion proportion NN A34005 2619 80 for for IN A34005 2619 81 the the DT A34005 2619 82 Azimuth Azimuth NNP A34005 2619 83 , , , A34005 2619 84 but but CC A34005 2619 85 it -PRON- PRP A34005 2619 86 also also RB A34005 2619 87 followes follow VBZ A34005 2619 88 from from IN A34005 2619 89 the the DT A34005 2619 90 same same JJ A34005 2619 91 Scheme scheme NN A34005 2619 92 . . . A34005 2620 1 In in IN A34005 2620 2 the the DT A34005 2620 3 Triangles Triangles NNP A34005 2620 4 C C NNP A34005 2620 5 D d NN A34005 2620 6 A a NN A34005 2620 7 and and CC A34005 2620 8 C C NNP A34005 2620 9 K K NNP A34005 2620 10 G g NN A34005 2620 11 , , , A34005 2620 12 and and CC A34005 2620 13 C C NNP A34005 2620 14 Z Z NNP A34005 2620 15 N N NNP A34005 2620 16 the the DT A34005 2620 17 first first JJ A34005 2620 18 operation operation NN A34005 2620 19 will will MD A34005 2620 20 be be VB A34005 2620 21 to to TO A34005 2620 22 find find VB A34005 2620 23 A a DT A34005 2620 24 D d NN A34005 2620 25 , , , A34005 2620 26 and and CC A34005 2620 27 G G NNP A34005 2620 28 K K NNP A34005 2620 29 , , , A34005 2620 30 and and CC A34005 2620 31 N N NNP A34005 2620 32 ● ● NFP A34005 2620 33 in in IN A34005 2620 34 all all DT A34005 2620 35 which which WDT A34005 2620 36 the the DT A34005 2620 37 Proportion Proportion NNP A34005 2620 38 will will MD A34005 2620 39 hold hold VB A34005 2620 40 . . . A34005 2621 1 As as IN A34005 2621 2 the the DT A34005 2621 3 Radius Radius NNP A34005 2621 4 to to IN A34005 2621 5 the the DT A34005 2621 6 Tangent Tangent NNP A34005 2621 7 of of IN A34005 2621 8 the the DT A34005 2621 9 Latitude Latitude NNP A34005 2621 10 . . . A34005 2622 1 Or or CC A34005 2622 2 as as IN A34005 2622 3 the the DT A34005 2622 4 Cotangent Cotangent NNP A34005 2622 5 of of IN A34005 2622 6 the the DT A34005 2622 7 Latitude Latitude NNP A34005 2622 8 to to IN A34005 2622 9 Radius Radius NNP A34005 2622 10 . . . A34005 2623 1 So so RB A34005 2623 2 is be VBZ A34005 2623 3 the the DT A34005 2623 4 Tangent Tangent NNP A34005 2623 5 of of IN A34005 2623 6 the the DT A34005 2623 7 Altitude altitude NN A34005 2623 8 , , , A34005 2623 9 to to IN A34005 2623 10 the the DT A34005 2623 11 said say VBN A34005 2623 12 respective respective JJ A34005 2623 13 quantities quantity NNS A34005 2623 14 , , , A34005 2623 15 which which WDT A34005 2623 16 when when WRB A34005 2623 17 the the DT A34005 2623 18 Altitude altitude NN A34005 2623 19 is be VBZ A34005 2623 20 lesse lesse JJ A34005 2623 21 then then RB A34005 2623 22 the the DT A34005 2623 23 Complement Complement NNP A34005 2623 24 of of IN A34005 2623 25 the the DT A34005 2623 26 Latitude Latitude NNP A34005 2623 27 , , , A34005 2623 28 are be VBP A34005 2623 29 the the DT A34005 2623 30 sins sin NNS A34005 2623 31 of of IN A34005 2623 32 the the DT A34005 2623 33 Suns Suns NNPS A34005 2623 34 Azimuth Azimuth NNP A34005 2623 35 from from IN A34005 2623 36 the the DT A34005 2623 37 Vertical Vertical NNP A34005 2623 38 belonging belong VBG A34005 2623 39 to to IN A34005 2623 40 the the DT A34005 2623 41 proposed propose VBN A34005 2623 42 Altitudes altitude NNS A34005 2623 43 when when WRB A34005 2623 44 the the DT A34005 2623 45 Sun Sun NNP A34005 2623 46 is be VBZ A34005 2623 47 in in IN A34005 2623 48 the the DT A34005 2623 49 Equinoctial equinoctial JJ A34005 2623 50 , , , A34005 2623 51 or or CC A34005 2623 52 hath hath NN A34005 2623 53 no no DT A34005 2623 54 declination declination NN A34005 2623 55 . . . A34005 2624 1 The the DT A34005 2624 2 next next JJ A34005 2624 3 proportion proportion NN A34005 2624 4 will will MD A34005 2624 5 be be VB A34005 2624 6 . . . A34005 2625 1 As as IN A34005 2625 2 the the DT A34005 2625 3 Cosine Cosine NNP A34005 2625 4 of of IN A34005 2625 5 the the DT A34005 2625 6 Latitude Latitude NNP A34005 2625 7 , , , A34005 2625 8 Is be VBZ A34005 2625 9 to to IN A34005 2625 10 the the DT A34005 2625 11 Secant secant NN A34005 2625 12 of of IN A34005 2625 13 the the DT A34005 2625 14 Altitude altitude NN A34005 2625 15 . . . A34005 2626 1 So so RB A34005 2626 2 is be VBZ A34005 2626 3 the the DT A34005 2626 4 Sine Sine NNP A34005 2626 5 of of IN A34005 2626 6 the the DT A34005 2626 7 declination declination NN A34005 2626 8 . . . A34005 2627 1 To to IN A34005 2627 2 the the DT A34005 2627 3 difference difference NN A34005 2627 4 sought seek VBD A34005 2627 5 being be VBG A34005 2627 6 a a DT A34005 2627 7 4 4 CD A34005 2627 8 Proportional Proportional NNP A34005 2627 9 . . . A34005 2628 1 Hereby Hereby NNP A34005 2628 2 we -PRON- PRP A34005 2628 3 may may MD A34005 2628 4 find find VB A34005 2628 5 A a DT A34005 2628 6 B b NN A34005 2628 7 in in IN A34005 2628 8 the the DT A34005 2628 9 Winter Winter NNP A34005 2628 10 Triangle Triangle NNP A34005 2628 11 A A NNP A34005 2628 12 G g NN A34005 2628 13 B B NNP A34005 2628 14 which which WDT A34005 2628 15 added add VBD A34005 2628 16 to to IN A34005 2628 17 A a DT A34005 2628 18 D d NN A34005 2628 19 , , , A34005 2628 20 the the DT A34005 2628 21 summe summe NN A34005 2628 22 is be VBZ A34005 2628 23 the the DT A34005 2628 24 sine sine NN A34005 2628 25 of of IN A34005 2628 26 the the DT A34005 2628 27 Azimuth Azimuth NNP A34005 2628 28 from from IN A34005 2628 29 the the DT A34005 2628 30 Vertical vertical JJ A34005 2628 31 consequently consequently RB A34005 2628 32 W W NNP A34005 2628 33 B B NNP A34005 2628 34 , , , A34005 2628 35 is be VBZ A34005 2628 36 the the DT A34005 2628 37 Versed versed JJ A34005 2628 38 sine sine NN A34005 2628 39 of of IN A34005 2628 40 the the DT A34005 2628 41 Azimuth Azimuth NNP A34005 2628 42 , , , A34005 2628 43 from from IN A34005 2628 44 the the DT A34005 2628 45 noon noon NN A34005 2628 46 Meridian Meridian NNP A34005 2628 47 . . . A34005 2629 1 Also also RB A34005 2629 2 we -PRON- PRP A34005 2629 3 find find VBP A34005 2629 4 G g NN A34005 2629 5 L l NN A34005 2629 6 in in IN A34005 2629 7 the the DT A34005 2629 8 Summer summer NN A34005 2629 9 triangle triangle NN A34005 2629 10 L l NN A34005 2629 11 M M NNP A34005 2629 12 G g NN A34005 2629 13 , , , A34005 2629 14 when when WRB A34005 2629 15 the the DT A34005 2629 16 Altitude altitude NN A34005 2629 17 is be VBZ A34005 2629 18 lesse lesse JJ A34005 2629 19 then then RB A34005 2629 20 the the DT A34005 2629 21 Complement Complement NNP A34005 2629 22 of of IN A34005 2629 23 the the DT A34005 2629 24 Latitude Latitude NNP A34005 2629 25 , , , A34005 2629 26 which which WDT A34005 2629 27 added add VBD A34005 2629 28 to to IN A34005 2629 29 S S NNP A34005 2629 30 G G NNP A34005 2629 31 the the DT A34005 2629 32 summe summe NN A34005 2629 33 S S NNP A34005 2629 34 L L NNP A34005 2629 35 is be VBZ A34005 2629 36 the the DT A34005 2629 37 Versed versed JJ A34005 2629 38 sine sine NN A34005 2629 39 of of IN A34005 2629 40 the the DT A34005 2629 41 Azimuth Azimuth NNP A34005 2629 42 from from IN A34005 2629 43 the the DT A34005 2629 44 South South NNP A34005 2629 45 . . . A34005 2630 1 Likewise likewise RB A34005 2630 2 we -PRON- PRP A34005 2630 3 may may MD A34005 2630 4 find find VB A34005 2630 5 N n NN A34005 2630 6 R r NN A34005 2630 7 in in IN A34005 2630 8 the the DT A34005 2630 9 Triangle Triangle NNP A34005 2630 10 R R NNP A34005 2630 11 O o NN A34005 2630 12 N n NN A34005 2630 13 , , , A34005 2630 14 and and CC A34005 2630 15 by by IN A34005 2630 16 subtracting subtract VBG A34005 2630 17 it -PRON- PRP A34005 2630 18 from from IN A34005 2630 19 N N NNP A34005 2630 20 Z Z NNP A34005 2630 21 , , , A34005 2630 22 there there EX A34005 2630 23 will will MD A34005 2630 24 remaine remaine VB A34005 2630 25 R R NNP A34005 2630 26 Z Z NNP A34005 2630 27 , , , A34005 2630 28 and and CC A34005 2630 29 consequently consequently RB A34005 2630 30 Q q NN A34005 2630 31 R r NN A34005 2630 32 the the DT A34005 2630 33 versed versed JJ A34005 2630 34 sine sine NN A34005 2630 35 of of IN A34005 2630 36 the the DT A34005 2630 37 Azimuth Azimuth NNP A34005 2630 38 from from IN A34005 2630 39 the the DT A34005 2630 40 Meridian Meridian NNP A34005 2630 41 in in IN A34005 2630 42 Summer Summer NNP A34005 2630 43 when when WRB A34005 2630 44 the the DT A34005 2630 45 Altitude altitude NN A34005 2630 46 is be VBZ A34005 2630 47 greater great JJR A34005 2630 48 then then RB A34005 2630 49 the the DT A34005 2630 50 Co co NN A34005 2630 51 - - NN A34005 2630 52 latitude latitude NN A34005 2630 53 . . . A34005 2631 1 And and CC A34005 2631 2 for for IN A34005 2631 3 Stars star NNS A34005 2631 4 that that WDT A34005 2631 5 come come VBP A34005 2631 6 to to IN A34005 2631 7 the the DT A34005 2631 8 Meridian Meridian NNP A34005 2631 9 between between IN A34005 2631 10 the the DT A34005 2631 11 Zenith Zenith NNP A34005 2631 12 , , , A34005 2631 13 and and CC A34005 2631 14 the the DT A34005 2631 15 Elevated Elevated NNP A34005 2631 16 Pole Pole NNP A34005 2631 17 , , , A34005 2631 18 we -PRON- PRP A34005 2631 19 may may MD A34005 2631 20 find find VB A34005 2631 21 N N NNP A34005 2631 22 c c NNP A34005 2631 23 , , , A34005 2631 24 in in IN A34005 2631 25 the the DT A34005 2631 26 Triangle Triangle NNP A34005 2631 27 N N NNP A34005 2631 28 c c NNP A34005 2631 29 d d NN A34005 2631 30 where where WRB A34005 2631 31 it -PRON- PRP A34005 2631 32 holds hold VBZ A34005 2631 33 , , , A34005 2631 34 as as IN A34005 2631 35 the the DT A34005 2631 36 sine sine NN A34005 2631 37 of of IN A34005 2631 38 the the DT A34005 2631 39 Angle Angle NNP A34005 2631 40 at at IN A34005 2631 41 N n CD A34005 2631 42 , , , A34005 2631 43 the the DT A34005 2631 44 complement complement NN A34005 2631 45 of of IN A34005 2631 46 the the DT A34005 2631 47 Latitude Latitude NNP A34005 2631 48 , , , A34005 2631 49 to to IN A34005 2631 50 its -PRON- PRP$ A34005 2631 51 opposite opposite JJ A34005 2631 52 sides side NNS A34005 2631 53 c c NNP A34005 2631 54 d d NN A34005 2631 55 , , , A34005 2631 56 the the DT A34005 2631 57 prickt prickt NNS A34005 2631 58 line line NN A34005 2631 59 , , , A34005 2631 60 the the DT A34005 2631 61 sine sine NN A34005 2631 62 of of IN A34005 2631 63 the the DT A34005 2631 64 Declination Declination NNP A34005 2631 65 : : : A34005 2631 66 so so RB A34005 2631 67 is be VBZ A34005 2631 68 the the DT A34005 2631 69 Radius Radius NNP A34005 2631 70 to to IN A34005 2631 71 N N NNP A34005 2631 72 c c NNP A34005 2631 73 , , , A34005 2631 74 the the DT A34005 2631 75 parallel parallel NN A34005 2631 76 of of IN A34005 2631 77 altitude altitude NN A34005 2631 78 the the DT A34005 2631 79 Azimuth Azimuth NNP A34005 2631 80 sought seek VBN A34005 2631 81 . . . A34005 2632 1 The the DT A34005 2632 2 latter latter JJ A34005 2632 3 Proportion proportion NN A34005 2632 4 lyes lye NNS A34005 2632 5 so so RB A34005 2632 6 evident evident JJ A34005 2632 7 , , , A34005 2632 8 it -PRON- PRP A34005 2632 9 need nee MD A34005 2632 10 not not RB A34005 2632 11 be be VB A34005 2632 12 spoken speak VBN A34005 2632 13 to to IN A34005 2632 14 , , , A34005 2632 15 if if IN A34005 2632 16 what what WP A34005 2632 17 was be VBD A34005 2632 18 said say VBN A34005 2632 19 before before RB A34005 2632 20 for for IN A34005 2632 21 the the DT A34005 2632 22 houre houre NN A34005 2632 23 be be VB A34005 2632 24 regarded regard VBN A34005 2632 25 , , , A34005 2632 26 and and CC A34005 2632 27 the the DT A34005 2632 28 former former JJ A34005 2632 29 Proportion Proportion NNP A34005 2632 30 lyes lye NNS A34005 2632 31 . . . A34005 2633 1 As as IN A34005 2633 2 the the DT A34005 2633 3 Cosine Cosine NNP A34005 2633 4 of of IN A34005 2633 5 the the DT A34005 2633 6 Latitude Latitude NNP A34005 2633 7 , , , A34005 2633 8 the the DT A34005 2633 9 sine sine NN A34005 2633 10 of of IN A34005 2633 11 the the DT A34005 2633 12 Angle Angle NNP A34005 2633 13 at at IN A34005 2633 14 A. a. NN A34005 2634 1 To to IN A34005 2634 2 its -PRON- PRP$ A34005 2634 3 Opposite opposite JJ A34005 2634 4 side side NN A34005 2634 5 D d NN A34005 2634 6 C c NN A34005 2634 7 , , , A34005 2634 8 the the DT A34005 2634 9 sine sine NN A34005 2634 10 of of IN A34005 2634 11 the the DT A34005 2634 12 altitude altitude NN A34005 2634 13 . . . A34005 2635 1 So so RB A34005 2635 2 is be VBZ A34005 2635 3 the the DT A34005 2635 4 sine sine NN A34005 2635 5 of of IN A34005 2635 6 the the DT A34005 2635 7 Latitude Latitude NNP A34005 2635 8 , , , A34005 2635 9 the the DT A34005 2635 10 angle angle NN A34005 2635 11 at at IN A34005 2635 12 C. C. NNP A34005 2635 13 To to IN A34005 2635 14 its -PRON- PRP$ A34005 2635 15 opposite opposite JJ A34005 2635 16 side side NN A34005 2635 17 A a DT A34005 2635 18 D d NN A34005 2635 19 in in IN A34005 2635 20 the the DT A34005 2635 21 parallel parallel NN A34005 2635 22 of of IN A34005 2635 23 altitude altitude NN A34005 2635 24 . . . A34005 2636 1 And and CC A34005 2636 2 in in IN A34005 2636 3 stead stead NN A34005 2636 4 of of IN A34005 2636 5 the the DT A34005 2636 6 Cosine Cosine NNP A34005 2636 7 , , , A34005 2636 8 and and CC A34005 2636 9 sine sine NN A34005 2636 10 of of IN A34005 2636 11 the the DT A34005 2636 12 Latitude Latitude NNP A34005 2636 13 . . . A34005 2637 1 We -PRON- PRP A34005 2637 2 may may MD A34005 2637 3 take take VB A34005 2637 4 the the DT A34005 2637 5 Radius Radius NNP A34005 2637 6 , , , A34005 2637 7 and and CC A34005 2637 8 the the DT A34005 2637 9 Tangent Tangent NNP A34005 2637 10 of of IN A34005 2637 11 the the DT A34005 2637 12 Latitude Latitude NNP A34005 2637 13 . . . A34005 2638 1 Another another DT A34005 2638 2 Analogy analogy NN A34005 2638 3 will will MD A34005 2638 4 be be VB A34005 2638 5 required require VBN A34005 2638 6 to to TO A34005 2638 7 reduce reduce VB A34005 2638 8 it -PRON- PRP A34005 2638 9 to to IN A34005 2638 10 the the DT A34005 2638 11 common common JJ A34005 2638 12 Radius Radius NNP A34005 2638 13 . . . A34005 2639 1 As as IN A34005 2639 2 the the DT A34005 2639 3 Cosine Cosine NNP A34005 2639 4 of of IN A34005 2639 5 the the DT A34005 2639 6 Altitude Altitude NNP A34005 2639 7 to to IN A34005 2639 8 Radius Radius NNP A34005 2639 9 . . . A34005 2640 1 So so RB A34005 2640 2 the the DT A34005 2640 3 fourth fourth JJ A34005 2640 4 before before RB A34005 2640 5 found find VBN A34005 2640 6 in in IN A34005 2640 7 a a DT A34005 2640 8 parallel parallel NN A34005 2640 9 . . . A34005 2641 1 To to IN A34005 2641 2 the the DT A34005 2641 3 like like JJ A34005 2641 4 quantity quantity NN A34005 2641 5 to to IN A34005 2641 6 the the DT A34005 2641 7 Common Common NNP A34005 2641 8 Radius Radius NNP A34005 2641 9 . . . A34005 2642 1 These these DT A34005 2642 2 Analogies Analogies NNPS A34005 2642 3 or or CC A34005 2642 4 Proportions Proportions NNPS A34005 2642 5 being be VBG A34005 2642 6 reduced reduce VBN A34005 2642 7 into into IN A34005 2642 8 one one CD A34005 2642 9 , , , A34005 2642 10 by by IN A34005 2642 11 multiplying multiply VBG A34005 2642 12 the the DT A34005 2642 13 termes terme NNS A34005 2642 14 of of IN A34005 2642 15 each each DT A34005 2642 16 Proportion Proportion NNP A34005 2642 17 , , , A34005 2642 18 and and CC A34005 2642 19 then then RB A34005 2642 20 freed free VBN A34005 2642 21 from from IN A34005 2642 22 needlesse needlesse NNP A34005 2642 23 affection affection NN A34005 2642 24 will will MD A34005 2642 25 produce produce VB A34005 2642 26 the the DT A34005 2642 27 Proportion Proportion NNP A34005 2642 28 at at IN A34005 2642 29 first first RB A34005 2642 30 delivered deliver VBN A34005 2642 31 . . . A34005 2643 1 The the DT A34005 2643 2 Vses Vses NNPS A34005 2643 3 of of IN A34005 2643 4 the the DT A34005 2643 5 said say VBN A34005 2643 6 Scale Scale NNP A34005 2643 7 . . . A34005 2644 1 WE we PRP A34005 2644 2 have have VBP A34005 2644 3 before before RB A34005 2644 4 noted note VBN A34005 2644 5 , , , A34005 2644 6 that that IN A34005 2644 7 if if IN A34005 2644 8 two two CD A34005 2644 9 termes terme NNS A34005 2644 10 of of IN A34005 2644 11 a a DT A34005 2644 12 Proportion proportion NN A34005 2644 13 be be VB A34005 2644 14 fixed fix VBN A34005 2644 15 , , , A34005 2644 16 and and CC A34005 2644 17 naturall naturall NNP A34005 2644 18 lines line NNS A34005 2644 19 thereto thereto NNP A34005 2644 20 fitted fit VBD A34005 2644 21 of of IN A34005 2644 22 an an DT A34005 2644 23 equal equal JJ A34005 2644 24 length length NN A34005 2644 25 , , , A34005 2644 26 that that IN A34005 2644 27 if if IN A34005 2644 28 any any DT A34005 2644 29 third third JJ A34005 2644 30 term term NN A34005 2644 31 be be VB A34005 2644 32 sought seek VBN A34005 2644 33 in in IN A34005 2644 34 the the DT A34005 2644 35 former former JJ A34005 2644 36 line line NN A34005 2644 37 , , , A34005 2644 38 the the DT A34005 2644 39 fourth fourth JJ A34005 2644 40 term term NN A34005 2644 41 will will MD A34005 2644 42 be be VB A34005 2644 43 found find VBN A34005 2644 44 in in IN A34005 2644 45 the the DT A34005 2644 46 other other JJ A34005 2644 47 line line NN A34005 2644 48 by by IN A34005 2644 49 inspection inspection NN A34005 2644 50 , , , A34005 2644 51 as as IN A34005 2644 52 standing stand VBG A34005 2644 53 against against IN A34005 2644 54 the the DT A34005 2644 55 third third JJ A34005 2644 56 . . . A34005 2645 1 So so RB A34005 2645 2 here here RB A34005 2645 3 , , , A34005 2645 4 in in IN A34005 2645 5 this this DT A34005 2645 6 Scale Scale NNP A34005 2645 7 which which WDT A34005 2645 8 consists consist VBZ A34005 2645 9 of of IN A34005 2645 10 two two CD A34005 2645 11 lines line NNS A34005 2645 12 , , , A34005 2645 13 the the DT A34005 2645 14 one one CD A34005 2645 15 an an DT A34005 2645 16 annexed annex VBN A34005 2645 17 Tangent Tangent NNP A34005 2645 18 , , , A34005 2645 19 the the DT A34005 2645 20 other other JJ A34005 2645 21 a a DT A34005 2645 22 line line NN A34005 2645 23 of of IN A34005 2645 24 Sines Sines NNP A34005 2645 25 continued continue VBD A34005 2645 26 both both CC A34005 2645 27 Wayes waye NNS A34005 2645 28 , , , A34005 2645 29 the the DT A34005 2645 30 Radius Radius NNP A34005 2645 31 of of IN A34005 2645 32 the the DT A34005 2645 33 Sines Sines NNPS A34005 2645 34 being be VBG A34005 2645 35 first first RB A34005 2645 36 fittted fittte VBN A34005 2645 37 , , , A34005 2645 38 the the DT A34005 2645 39 Tangent Tangent NNP A34005 2645 40 annexed annexed NN A34005 2645 41 must must MD A34005 2645 42 be be VB A34005 2645 43 of of IN A34005 2645 44 such such PDT A34005 2645 45 a a DT A34005 2645 46 Radius Radius NNP A34005 2645 47 , , , A34005 2645 48 as as IN A34005 2645 49 that that DT A34005 2645 50 38 38 CD A34005 2645 51 deg deg NN A34005 2645 52 . . . A34005 2646 1 28′ 28′ CD A34005 2646 2 , , , A34005 2646 3 of of IN A34005 2646 4 it -PRON- PRP A34005 2646 5 may may MD A34005 2646 6 be be VB A34005 2646 7 equall equall JJ A34005 2646 8 in in IN A34005 2646 9 length length NN A34005 2646 10 to to IN A34005 2646 11 the the DT A34005 2646 12 Radius Radius NNP A34005 2646 13 of of IN A34005 2646 14 the the DT A34005 2646 15 Sine Sine NNP A34005 2646 16 to to TO A34005 2646 17 which which WDT A34005 2646 18 it -PRON- PRP A34005 2646 19 is be VBZ A34005 2646 20 adjoyned adjoyne VBN A34005 2646 21 , , , A34005 2646 22 and and CC A34005 2646 23 then then RB A34005 2646 24 looking look VBG A34005 2646 25 for for IN A34005 2646 26 the the DT A34005 2646 27 Declination declination NN A34005 2646 28 in in IN A34005 2646 29 the the DT A34005 2646 30 Tangent Tangent NNP A34005 2646 31 just just RB A34005 2646 32 against against IN A34005 2646 33 it -PRON- PRP A34005 2646 34 stands stand VBZ A34005 2646 35 the the DT A34005 2646 36 time time NN A34005 2646 37 of of IN A34005 2646 38 rising rise VBG A34005 2646 39 , , , A34005 2646 40 from from IN A34005 2646 41 six six CD A34005 2646 42 or or CC A34005 2646 43 ascentional ascentional JJ A34005 2646 44 difference difference NN A34005 2646 45 , , , A34005 2646 46 or or CC A34005 2646 47 the the DT A34005 2646 48 Semidiurnal semidiurnal JJ A34005 2646 49 arke arke NNS A34005 2646 50 , , , A34005 2646 51 if if IN A34005 2646 52 the the DT A34005 2646 53 same same JJ A34005 2646 54 be be VB A34005 2646 55 accounted account VBN A34005 2646 56 from from IN A34005 2646 57 the the DT A34005 2646 58 other other JJ A34005 2646 59 end end NN A34005 2646 60 as as IN A34005 2646 61 a a DT A34005 2646 62 Versed Versed NNP A34005 2646 63 Sine Sine NNP A34005 2646 64 . . . A34005 2647 1 So so RB A34005 2647 2 if if IN A34005 2647 3 the the DT A34005 2647 4 Suns Suns NNPS A34005 2647 5 Altitude Altitude NNP A34005 2647 6 be be VBP A34005 2647 7 given give VBN A34005 2647 8 , , , A34005 2647 9 and and CC A34005 2647 10 accounted account VBD A34005 2647 11 in in IN A34005 2647 12 the the DT A34005 2647 13 Tangent Tangent NNP A34005 2647 14 , , , A34005 2647 15 just just RB A34005 2647 16 against against IN A34005 2647 17 it -PRON- PRP A34005 2647 18 stands stand VBZ A34005 2647 19 the the DT A34005 2647 20 Suns Suns NNPS A34005 2647 21 Azimuth Azimuth NNP A34005 2647 22 , , , A34005 2647 23 when when WRB A34005 2647 24 he -PRON- PRP A34005 2647 25 is be VBZ A34005 2647 26 in in IN A34005 2647 27 the the DT A34005 2647 28 Equinoctial Equinoctial NNP A34005 2647 29 upon upon IN A34005 2647 30 the the DT A34005 2647 31 like like JJ A34005 2647 32 altitude altitude NN A34005 2647 33 , , , A34005 2647 34 and and CC A34005 2647 35 thus thus RB A34005 2647 36 the the DT A34005 2647 37 point point NN A34005 2647 38 N n NN A34005 2647 39 will will MD A34005 2647 40 be be VB A34005 2647 41 found find VBN A34005 2647 42 in in IN A34005 2647 43 the the DT A34005 2647 44 Tangent Tangent NNP A34005 2647 45 at at IN A34005 2647 46 the the DT A34005 2647 47 altitude altitude NN A34005 2647 48 , , , A34005 2647 49 when when WRB A34005 2647 50 it -PRON- PRP A34005 2647 51 is be VBZ A34005 2647 52 more more JJR A34005 2647 53 then then RB A34005 2647 54 the the DT A34005 2647 55 Colatitude Colatitude NNP A34005 2647 56 . . . A34005 2648 1 1 1 CD A34005 2648 2 An an DT A34005 2648 3 Example Example NNP A34005 2648 4 for for IN A34005 2648 5 finding find VBG A34005 2648 6 the the DT A34005 2648 7 time time NN A34005 2648 8 of of IN A34005 2648 9 the the DT A34005 2648 10 Sun Sun NNP A34005 2648 11 rising rise VBG A34005 2648 12 . . . A34005 2649 1 If if IN A34005 2649 2 the the DT A34005 2649 3 Declination Declination NNP A34005 2649 4 be be VBP A34005 2649 5 13 13 CD A34005 2649 6 deg deg NN A34005 2649 7 . . . A34005 2650 1 looke looke NN A34005 2650 2 for for IN A34005 2650 3 it -PRON- PRP A34005 2650 4 in in IN A34005 2650 5 the the DT A34005 2650 6 annexed annex VBN A34005 2650 7 Tangent Tangent NNP A34005 2650 8 , , , A34005 2650 9 and and CC A34005 2650 10 just just RB A34005 2650 11 against against IN A34005 2650 12 it -PRON- PRP A34005 2650 13 in in IN A34005 2650 14 the the DT A34005 2650 15 houre houre NN A34005 2650 16 Scale Scale NNP A34005 2650 17 stands stand VBZ A34005 2650 18 16 16 CD A34005 2650 19 deg deg NN A34005 2650 20 . . . A34005 2651 1 53′ 53′ CD A34005 2651 2 the the DT A34005 2651 3 ascentional ascentional JJ A34005 2651 4 difference difference NN A34005 2651 5 in in IN A34005 2651 6 time time NN A34005 2651 7 1 1 CD A34005 2651 8 houre houre NN A34005 2651 9 7½ 7½ NNP A34005 2651 10 min min NN A34005 2651 11 . . . A34005 2652 1 shewing shew VBG A34005 2652 2 that that IN A34005 2652 3 the the DT A34005 2652 4 Sun Sun NNP A34005 2652 5 riseth riseth NN A34005 2652 6 so so RB A34005 2652 7 much much RB A34005 2652 8 before before RB A34005 2652 9 , , , A34005 2652 10 and and CC A34005 2652 11 setteth setteth VB A34005 2652 12 so so RB A34005 2652 13 much much JJ A34005 2652 14 after after IN A34005 2652 15 6 6 CD A34005 2652 16 in in IN A34005 2652 17 Summer Summer NNP A34005 2652 18 , , , A34005 2652 19 and and CC A34005 2652 20 in in IN A34005 2652 21 Winter winter NN A34005 2652 22 riseth riseth NN A34005 2652 23 so so RB A34005 2652 24 much much RB A34005 2652 25 after after RB A34005 2652 26 , , , A34005 2652 27 and and CC A34005 2652 28 setteth setteth VB A34005 2652 29 before before IN A34005 2652 30 6 6 CD A34005 2652 31 , , , A34005 2652 32 for for IN A34005 2652 33 this this DT A34005 2652 34 arke arke NNS A34005 2652 35 may may MD A34005 2652 36 be be VB A34005 2652 37 found find VBN A34005 2652 38 on on IN A34005 2652 39 either either DT A34005 2652 40 side side NN A34005 2652 41 of of IN A34005 2652 42 six six CD A34005 2652 43 where where WRB A34005 2652 44 the the DT A34005 2652 45 declination declination NN A34005 2652 46 begins begin VBZ A34005 2652 47 each each DT A34005 2652 48 way way NN A34005 2652 49 . . . A34005 2653 1 2 2 CD A34005 2653 2 To to TO A34005 2653 3 find find VB A34005 2653 4 the the DT A34005 2653 5 time time NN A34005 2653 6 of of IN A34005 2653 7 the the DT A34005 2653 8 day day NN A34005 2653 9 . . . A34005 2654 1 To to TO A34005 2654 2 perform perform VB A34005 2654 3 this this DT A34005 2654 4 Proposition Proposition NNP A34005 2654 5 wee wee RB A34005 2654 6 divide divide VB A34005 2654 7 the the DT A34005 2654 8 other other JJ A34005 2654 9 Proportion Proportion NNP A34005 2654 10 into into IN A34005 2654 11 two two CD A34005 2654 12 , , , A34005 2654 13 by by IN A34005 2654 14 introducing introduce VBG A34005 2654 15 the the DT A34005 2654 16 Radius Radius NNP A34005 2654 17 in in IN A34005 2654 18 the the DT A34005 2654 19 Middle Middle NNP A34005 2654 20 . . . A34005 2655 1 As as IN A34005 2655 2 the the DT A34005 2655 3 Radius Radius NNP A34005 2655 4 is be VBZ A34005 2655 5 to to IN A34005 2655 6 the the DT A34005 2655 7 Secant Secant NNP A34005 2655 8 of of IN A34005 2655 9 the the DT A34005 2655 10 Declination Declination NNP A34005 2655 11 . . . A34005 2656 1 So so RB A34005 2656 2 is be VBZ A34005 2656 3 the the DT A34005 2656 4 sine sine NN A34005 2656 5 of of IN A34005 2656 6 the the DT A34005 2656 7 altitude altitude NN A34005 2656 8 to to IN A34005 2656 9 a a DT A34005 2656 10 fourth fourth JJ A34005 2656 11 . . . A34005 2657 1 Again again RB A34005 2657 2 . . . A34005 2658 1 As as IN A34005 2658 2 the the DT A34005 2658 3 Cosine Cosine NNP A34005 2658 4 of of IN A34005 2658 5 the the DT A34005 2658 6 Latitude Latitude NNP A34005 2658 7 to to IN A34005 2658 8 Radius Radius NNP A34005 2658 9 . . . A34005 2659 1 So so RB A34005 2659 2 the the DT A34005 2659 3 fourth fourth JJ A34005 2659 4 before before IN A34005 2659 5 found find VBN A34005 2659 6 . . . A34005 2660 1 To to IN A34005 2660 2 the the DT A34005 2660 3 difference difference NN A34005 2660 4 of of IN A34005 2660 5 the the DT A34005 2660 6 Versed Versed NNP A34005 2660 7 Sines Sines NNPS A34005 2660 8 of of IN A34005 2660 9 the the DT A34005 2660 10 Semidiurnal Semidiurnal NNP A34005 2660 11 arke arke NNS A34005 2660 12 , , , A34005 2660 13 and and CC A34005 2660 14 of of IN A34005 2660 15 the the DT A34005 2660 16 houre houre NN A34005 2660 17 sought seek VBD A34005 2660 18 . . . A34005 2661 1 The the DT A34005 2661 2 former former JJ A34005 2661 3 of of IN A34005 2661 4 these these DT A34005 2661 5 Proportions Proportions NNPS A34005 2661 6 must must MD A34005 2661 7 be be VB A34005 2661 8 wrought work VBN A34005 2661 9 upon upon IN A34005 2661 10 the the DT A34005 2661 11 quadrant quadrant NN A34005 2661 12 , , , A34005 2661 13 the the DT A34005 2661 14 latter latter NN A34005 2661 15 is be VBZ A34005 2661 16 removed remove VBN A34005 2661 17 by by IN A34005 2661 18 fitting fit VBG A34005 2661 19 the the DT A34005 2661 20 Radius Radius NNP A34005 2661 21 of of IN A34005 2661 22 the the DT A34005 2661 23 Sines Sines NNPS A34005 2661 24 that that WDT A34005 2661 25 gives give VBZ A34005 2661 26 the the DT A34005 2661 27 answer answer NN A34005 2661 28 , , , A34005 2661 29 equal equal JJ A34005 2661 30 in in IN A34005 2661 31 length length NN A34005 2661 32 to to IN A34005 2661 33 the the DT A34005 2661 34 Cosine Cosine NNP A34005 2661 35 of of IN A34005 2661 36 the the DT A34005 2661 37 latitude latitude NN A34005 2661 38 . . . A34005 2662 1 Wherefore Wherefore VBN A34005 2662 2 to to TO A34005 2662 3 find find VB A34005 2662 4 the the DT A34005 2662 5 time time NN A34005 2662 6 of of IN A34005 2662 7 the the DT A34005 2662 8 day day NN A34005 2662 9 , , , A34005 2662 10 lay lie VBD A34005 2662 11 the the DT A34005 2662 12 thread thread NN A34005 2662 13 to to IN A34005 2662 14 the the DT A34005 2662 15 Secant Secant NNP A34005 2662 16 of of IN A34005 2662 17 the the DT A34005 2662 18 declination declination NN A34005 2662 19 in in IN A34005 2662 20 the the DT A34005 2662 21 limbe limbe NN A34005 2662 22 , , , A34005 2662 23 and and CC A34005 2662 24 from from IN A34005 2662 25 the the DT A34005 2662 26 sine sine NN A34005 2662 27 of of IN A34005 2662 28 the the DT A34005 2662 29 altitude altitude NN A34005 2662 30 take take VBP A34005 2662 31 the the DT A34005 2662 32 nearest near JJS A34005 2662 33 distance distance NN A34005 2662 34 to to IN A34005 2662 35 it -PRON- PRP A34005 2662 36 , , , A34005 2662 37 and and CC A34005 2662 38 because because IN A34005 2662 39 the the DT A34005 2662 40 Secant secant NN A34005 2662 41 is be VBZ A34005 2662 42 made make VBN A34005 2662 43 , , , A34005 2662 44 but but CC A34005 2662 45 to to TO A34005 2662 46 halfe halfe VB A34005 2662 47 the the DT A34005 2662 48 Common Common NNP A34005 2662 49 Radius Radius NNP A34005 2662 50 , , , A34005 2662 51 set set VBD A34005 2662 52 downe downe NNP A34005 2662 53 one one CD A34005 2662 54 foot foot NN A34005 2662 55 of of IN A34005 2662 56 this this DT A34005 2662 57 extent extent NN A34005 2662 58 at at IN A34005 2662 59 the the DT A34005 2662 60 Declination declination NN A34005 2662 61 in in IN A34005 2662 62 the the DT A34005 2662 63 annexed annex VBN A34005 2662 64 Tangent Tangent NNP A34005 2662 65 , , , A34005 2662 66 and and CC A34005 2662 67 enter enter VB A34005 2662 68 the the DT A34005 2662 69 said say VBN A34005 2662 70 extent extent NN A34005 2662 71 twice twice RB A34005 2662 72 forward forward RB A34005 2662 73 , , , A34005 2662 74 and and CC A34005 2662 75 it -PRON- PRP A34005 2662 76 will will MD A34005 2662 77 shew shew VB A34005 2662 78 the the DT A34005 2662 79 time time NN A34005 2662 80 of of IN A34005 2662 81 the the DT A34005 2662 82 Day day NN A34005 2662 83 . . . A34005 2663 1 Example example NN A34005 2663 2 . . . A34005 2664 1 Let let VB A34005 2664 2 the the DT A34005 2664 3 Declination declination NN A34005 2664 4 be be VB A34005 2664 5 supposed suppose VBN A34005 2664 6 23 23 CD A34005 2664 7 deg deg NN A34005 2664 8 . . . A34005 2665 1 31′ 31′ LS A34005 2665 2 North North NNP A34005 2665 3 , , , A34005 2665 4 and and CC A34005 2665 5 the the DT A34005 2665 6 Altitude Altitude NNP A34005 2665 7 38 38 CD A34005 2665 8 deg deg NN A34005 2665 9 . . . A34005 2666 1 59′ 59′ LS A34005 2666 2 the the DT A34005 2666 3 nearest near JJS A34005 2666 4 distance distance NN A34005 2666 5 from from IN A34005 2666 6 the the DT A34005 2666 7 Sine Sine NNP A34005 2666 8 thereof thereof RB A34005 2666 9 , , , A34005 2666 10 to to IN A34005 2666 11 the the DT A34005 2666 12 thread thread NN A34005 2666 13 laid lay VBN A34005 2666 14 over over IN A34005 2666 15 the the DT A34005 2666 16 Secant Secant NNP A34005 2666 17 of of IN A34005 2666 18 3 3 CD A34005 2666 19 ● ● . A34005 2666 20 deg deg NN A34005 2666 21 . . . A34005 2667 1 31′ 31′ CD A34005 2667 2 will will MD A34005 2667 3 reach reach VB A34005 2667 4 being be VBG A34005 2667 5 turned turn VBN A34005 2667 6 twice twice RB A34005 2667 7 over over RB A34005 2667 8 from from IN A34005 2667 9 3 3 CD A34005 2667 10 ● ● . A34005 2667 11 d. d. NNP A34005 2667 12 31′ 31′ CD A34005 2667 13 in in IN A34005 2667 14 the the DT A34005 2667 15 annexed annex VBN A34005 2667 16 Tangent Tangent NNP A34005 2667 17 neerest neerest VBD A34005 2667 18 the the DT A34005 2667 19 Center Center NNP A34005 2667 20 to to IN A34005 2667 21 33 33 CD A34005 2667 22 deg deg NN A34005 2667 23 . . . A34005 2668 1 45′ 45′ CD A34005 2668 2 in in IN A34005 2668 3 the the DT A34005 2668 4 Sines Sines NNP A34005 2668 5 , , , A34005 2668 6 aliàs aliàs NNP A34005 2668 7 to to IN A34005 2668 8 56 56 CD A34005 2668 9 d. d. NNP A34005 2668 10 15′ 15′ CD A34005 2668 11 counted count VBD A34005 2668 12 as as IN A34005 2668 13 a a DT A34005 2668 14 Versed Versed NNP A34005 2668 15 Sine Sine NNP A34005 2668 16 shewing shew VBG A34005 2668 17 the the DT A34005 2668 18 time time NN A34005 2668 19 of of IN A34005 2668 20 the the DT A34005 2668 21 day day NN A34005 2668 22 to to TO A34005 2668 23 be be VB A34005 2668 24 a a DT A34005 2668 25 quarter quarter NN A34005 2668 26 past past IN A34005 2668 27 8 8 CD A34005 2668 28 in in IN A34005 2668 29 the the DT A34005 2668 30 morning morning NN A34005 2668 31 , , , A34005 2668 32 or or CC A34005 2668 33 three three CD A34005 2668 34 quarters quarter NNS A34005 2668 35 past past IN A34005 2668 36 three three CD A34005 2668 37 in in IN A34005 2668 38 the the DT A34005 2668 39 afternoon afternoon NN A34005 2668 40 . . . A34005 2669 1 3 3 LS A34005 2669 2 To to TO A34005 2669 3 find find VB A34005 2669 4 the the DT A34005 2669 5 Suns Suns NNPS A34005 2669 6 Altitude Altitude NNP A34005 2669 7 on on IN A34005 2669 8 all all DT A34005 2669 9 houres houre NNS A34005 2669 10 . . . A34005 2670 1 Take take VB A34005 2670 2 the the DT A34005 2670 3 distance distance NN A34005 2670 4 between between IN A34005 2670 5 the the DT A34005 2670 6 houre houre NN A34005 2670 7 and and CC A34005 2670 8 the the DT A34005 2670 9 Declination declination NN A34005 2670 10 in in IN A34005 2670 11 the the DT A34005 2670 12 fitted fitted JJ A34005 2670 13 Scale Scale NNP A34005 2670 14 , , , A34005 2670 15 and and CC A34005 2670 16 enter enter VBP A34005 2670 17 it -PRON- PRP A34005 2670 18 downe downe NNP A34005 2670 19 , , , A34005 2670 20 the the DT A34005 2670 21 line line NN A34005 2670 22 of of IN A34005 2670 23 Sines Sines NNPS A34005 2670 24 from from IN A34005 2670 25 the the DT A34005 2670 26 Center Center NNP A34005 2670 27 , , , A34005 2670 28 then then RB A34005 2670 29 laying lay VBG A34005 2670 30 the the DT A34005 2670 31 thread thread NN A34005 2670 32 over over IN A34005 2670 33 the the DT A34005 2670 34 Cosine Cosine NNP A34005 2670 35 of of IN A34005 2670 36 the the DT A34005 2670 37 Declination Declination NNP A34005 2670 38 in in IN A34005 2670 39 the the DT A34005 2670 40 Limbe Limbe NNP A34005 2670 41 , , , A34005 2670 42 the the DT A34005 2670 43 nearest near JJS A34005 2670 44 distance distance NN A34005 2670 45 to to IN A34005 2670 46 it -PRON- PRP A34005 2670 47 shall shall MD A34005 2670 48 be be VB A34005 2670 49 the the DT A34005 2670 50 sine sine NN A34005 2670 51 of of IN A34005 2670 52 the the DT A34005 2670 53 Altitude Altitude NNP A34005 2670 54 sought seek VBD A34005 2670 55 . . . A34005 2671 1 Example example NN A34005 2671 2 . . . A34005 2672 1 Thus thus RB A34005 2672 2 whee whee PRP A34005 2672 3 the the DT A34005 2672 4 Sun Sun NNP A34005 2672 5 hath hath NNP A34005 2672 6 13 13 CD A34005 2672 7 deg deg NN A34005 2672 8 . . . A34005 2673 1 of of IN A34005 2673 2 South South NNP A34005 2673 3 Declination Declination NNP A34005 2673 4 , , , A34005 2673 5 count count VB A34005 2673 6 it -PRON- PRP A34005 2673 7 in in IN A34005 2673 8 that that DT A34005 2673 9 part part NN A34005 2673 10 of of IN A34005 2673 11 the the DT A34005 2673 12 annexed annex VBN A34005 2673 13 Tangent Tangent NNP A34005 2673 14 nearest nearest VBD A34005 2673 15 the the DT A34005 2673 16 Limbe Limbe NNP A34005 2673 17 , , , A34005 2673 18 if if IN A34005 2673 19 then then RB A34005 2673 20 it -PRON- PRP A34005 2673 21 were be VBD A34005 2673 22 required require VBN A34005 2673 23 to to TO A34005 2673 24 find find VB A34005 2673 25 the the DT A34005 2673 26 Suns Suns NNPS A34005 2673 27 Altit Altit NNP A34005 2673 28 . . . A34005 2674 1 for for IN A34005 2674 2 the the DT A34005 2674 3 houres houre NNS A34005 2674 4 of of IN A34005 2674 5 10 10 CD A34005 2674 6 or or CC A34005 2674 7 2 2 CD A34005 2674 8 by by IN A34005 2674 9 the the DT A34005 2674 10 former former JJ A34005 2674 11 Prescriptions Prescriptions NNPS A34005 2674 12 the the DT A34005 2674 13 Altitude altitude NN A34005 2674 14 would would MD A34005 2674 15 be be VB A34005 2674 16 found find VBN A34005 2674 17 10 10 CD A34005 2674 18 d. d. NNP A34005 2674 19 25′ 25′ CD A34005 2674 20 4 4 CD A34005 2674 21 To to TO A34005 2674 22 find find VB A34005 2674 23 the the DT A34005 2674 24 Suns Suns NNPS A34005 2674 25 Amplitude Amplitude NNP A34005 2674 26 . . . A34005 2675 1 Take take VB A34005 2675 2 the the DT A34005 2675 3 Sine Sine NNP A34005 2675 4 of of IN A34005 2675 5 the the DT A34005 2675 6 Declination declination NN A34005 2675 7 from from IN A34005 2675 8 the the DT A34005 2675 9 line line NN A34005 2675 10 of of IN A34005 2675 11 the the DT A34005 2675 12 Sines Sines NNPS A34005 2675 13 , , , A34005 2675 14 and and CC A34005 2675 15 apply apply VB A34005 2675 16 it -PRON- PRP A34005 2675 17 to to IN A34005 2675 18 the the DT A34005 2675 19 fitted fitted JJ A34005 2675 20 Scale Scale NNP A34005 2675 21 where where WRB A34005 2675 22 the the DT A34005 2675 23 annexed annex VBN A34005 2675 24 Tangent Tangent NNP A34005 2675 25 begins begin VBZ A34005 2675 26 , , , A34005 2675 27 and and CC A34005 2675 28 either either DT A34005 2675 29 way way NN A34005 2675 30 it -PRON- PRP A34005 2675 31 will will MD A34005 2675 32 reach reach VB A34005 2675 33 to to IN A34005 2675 34 the the DT A34005 2675 35 Sine Sine NNP A34005 2675 36 of of IN A34005 2675 37 the the DT A34005 2675 38 Amplitude Amplitude NNP A34005 2675 39 . . . A34005 2676 1 Example example NN A34005 2676 2 . . . A34005 2677 1 So so RB A34005 2677 2 when when WRB A34005 2677 3 the the DT A34005 2677 4 Sun Sun NNP A34005 2677 5 hath hath NNP A34005 2677 6 15 15 CD A34005 2677 7 deg deg NN A34005 2677 8 : : : A34005 2677 9 of of IN A34005 2677 10 Declination declination NN A34005 2677 11 his -PRON- PRP$ A34005 2677 12 Amplitude Amplitude NNP A34005 2677 13 will will MD A34005 2677 14 be be VB A34005 2677 15 found find VBN A34005 2677 16 to to TO A34005 2677 17 be be VB A34005 2677 18 24 24 CD A34005 2677 19 deg deg NN A34005 2677 20 . . . A34005 2678 1 35′ 35′ CD A34005 2678 2 . . . A34005 2679 1 5 5 CD A34005 2679 2 To to TO A34005 2679 3 find find VB A34005 2679 4 the the DT A34005 2679 5 Azimuth Azimuth NNP A34005 2679 6 or or CC A34005 2679 7 true true JJ A34005 2679 8 Coast coast NN A34005 2679 9 of of IN A34005 2679 10 the the DT A34005 2679 11 Sun Sun NNP A34005 2679 12 . . . A34005 2680 1 Here here RB A34005 2680 2 we -PRON- PRP A34005 2680 3 likewise likewise RB A34005 2680 4 introduce introduce VBP A34005 2680 5 the the DT A34005 2680 6 Radius Radius NNP A34005 2680 7 in in IN A34005 2680 8 the the DT A34005 2680 9 latter latter JJ A34005 2680 10 Proportion proportion NN A34005 2680 11 . . . A34005 2681 1 1 1 LS A34005 2681 2 In in IN A34005 2681 3 Winter Winter NNP A34005 2681 4 lay lie VBD A34005 2681 5 the the DT A34005 2681 6 thread thread NN A34005 2681 7 to to IN A34005 2681 8 the the DT A34005 2681 9 Secant Secant NNP A34005 2681 10 of of IN A34005 2681 11 the the DT A34005 2681 12 Altitude altitude NN A34005 2681 13 in in IN A34005 2681 14 the the DT A34005 2681 15 Limbe Limbe NNP A34005 2681 16 , , , A34005 2681 17 and and CC A34005 2681 18 from from IN A34005 2681 19 the the DT A34005 2681 20 sine sine NN A34005 2681 21 of of IN A34005 2681 22 the the DT A34005 2681 23 Declination Declination NNP A34005 2681 24 , , , A34005 2681 25 take take VB A34005 2681 26 the the DT A34005 2681 27 nearest near JJS A34005 2681 28 distance distance NN A34005 2681 29 to to IN A34005 2681 30 it -PRON- PRP A34005 2681 31 , , , A34005 2681 32 the the DT A34005 2681 33 said say VBN A34005 2681 34 extent extent NN A34005 2681 35 enter enter VBP A34005 2681 36 twice twice RB A34005 2681 37 forward forward RB A34005 2681 38 from from IN A34005 2681 39 the the DT A34005 2681 40 Altitude altitude NN A34005 2681 41 in in IN A34005 2681 42 the the DT A34005 2681 43 annexed annex VBN A34005 2681 44 Tangent Tangent NNP A34005 2681 45 , , , A34005 2681 46 and and CC A34005 2681 47 it -PRON- PRP A34005 2681 48 will will MD A34005 2681 49 reach reach VB A34005 2681 50 to to IN A34005 2681 51 the the DT A34005 2681 52 Versed Versed NNP A34005 2681 53 Sine Sine NNP A34005 2681 54 of of IN A34005 2681 55 the the DT A34005 2681 56 Azimuth Azimuth NNP A34005 2681 57 from from IN A34005 2681 58 the the DT A34005 2681 59 South South NNP A34005 2681 60 . . . A34005 2682 1 Example example NN A34005 2682 2 . . . A34005 2683 1 So so RB A34005 2683 2 when when WRB A34005 2683 3 the the DT A34005 2683 4 Sun Sun NNP A34005 2683 5 hath hath NNP A34005 2683 6 15 15 CD A34005 2683 7 deg deg NN A34005 2683 8 . . . A34005 2684 1 of of IN A34005 2684 2 South South NNP A34005 2684 3 Declination Declination NNP A34005 2684 4 , , , A34005 2684 5 if if IN A34005 2684 6 his -PRON- PRP$ A34005 2684 7 Altitude altitude NN A34005 2684 8 be be VBP A34005 2684 9 15 15 CD A34005 2684 10 deg deg NN A34005 2684 11 . . . A34005 2685 1 the the DT A34005 2685 2 nearest near JJS A34005 2685 3 distance distance NN A34005 2685 4 from from IN A34005 2685 5 the the DT A34005 2685 6 sine sine NN A34005 2685 7 thereof thereof RB A34005 2685 8 to to IN A34005 2685 9 the the DT A34005 2685 10 thread thread NN A34005 2685 11 laid lay VBN A34005 2685 12 over over IN A34005 2685 13 the the DT A34005 2685 14 Secant Secant NNP A34005 2685 15 of of IN A34005 2685 16 15 15 CD A34005 2685 17 degrees degree NNS A34005 2685 18 , , , A34005 2685 19 shall shall MD A34005 2685 20 reach reach VB A34005 2685 21 in in IN A34005 2685 22 the the DT A34005 2685 23 fitted fitted JJ A34005 2685 24 Scale Scale NNP A34005 2685 25 from from IN A34005 2685 26 the the DT A34005 2685 27 annexed annex VBN A34005 2685 28 Tangent Tangent NNP A34005 2685 29 of of IN A34005 2685 30 15 15 CD A34005 2685 31 deg deg NN A34005 2685 32 . . . A34005 2686 1 being be VBG A34005 2686 2 twice twice RB A34005 2686 3 repeated repeat VBN A34005 2686 4 forward forward RB A34005 2686 5 to to IN A34005 2686 6 the the DT A34005 2686 7 Versed versed JJ A34005 2686 8 sine sine NN A34005 2686 9 of of IN A34005 2686 10 39 39 CD A34005 2686 11 deg deg NN A34005 2686 12 . . . A34005 2687 1 50′ 50′ CD A34005 2687 2 for for IN A34005 2687 3 the the DT A34005 2687 4 Suns Suns NNPS A34005 2687 5 Azimuth Azimuth NNP A34005 2687 6 from from IN A34005 2687 7 the the DT A34005 2687 8 South South NNP A34005 2687 9 . . . A34005 2688 1 2 2 LS A34005 2688 2 In in IN A34005 2688 3 Summer summer NN A34005 2688 4 when when WRB A34005 2688 5 the the DT A34005 2688 6 Altitude altitude NN A34005 2688 7 is be VBZ A34005 2688 8 lesse lesse NNP A34005 2688 9 then then RB A34005 2688 10 40 40 CD A34005 2688 11 deg deg NN A34005 2688 12 . . . A34005 2689 1 enter enter VB A34005 2689 2 the the DT A34005 2689 3 former former JJ A34005 2689 4 extent extent NN A34005 2689 5 from from IN A34005 2689 6 the the DT A34005 2689 7 sine sine NN A34005 2689 8 of of IN A34005 2689 9 the the DT A34005 2689 10 Declination Declination NNP A34005 2689 11 to to IN A34005 2689 12 the the DT A34005 2689 13 thread thread NN A34005 2689 14 laid lay VBN A34005 2689 15 over over IN A34005 2689 16 the the DT A34005 2689 17 Secant Secant NNP A34005 2689 18 of of IN A34005 2689 19 the the DT A34005 2689 20 Altitude altitude NN A34005 2689 21 twice twice RB A34005 2689 22 backward backward RB A34005 2689 23 from from IN A34005 2689 24 the the DT A34005 2689 25 Altitude altitude NN A34005 2689 26 in in IN A34005 2689 27 the the DT A34005 2689 28 annexed annex VBN A34005 2689 29 Tangent Tangent NNP A34005 2689 30 , , , A34005 2689 31 and and CC A34005 2689 32 it -PRON- PRP A34005 2689 33 will will MD A34005 2689 34 reach reach VB A34005 2689 35 to to IN A34005 2689 36 the the DT A34005 2689 37 Versed versed JJ A34005 2689 38 sine sine NN A34005 2689 39 of of IN A34005 2689 40 the the DT A34005 2689 41 Azimuth Azimuth NNP A34005 2689 42 from from IN A34005 2689 43 the the DT A34005 2689 44 South South NNP A34005 2689 45 . . . A34005 2690 1 Example example NN A34005 2690 2 . . . A34005 2691 1 So so CC A34005 2691 2 if if IN A34005 2691 3 the the DT A34005 2691 4 Sun Sun NNP A34005 2691 5 have have VBP A34005 2691 6 15 15 CD A34005 2691 7 deg deg NN A34005 2691 8 . . . A34005 2692 1 of of IN A34005 2692 2 North North NNP A34005 2692 3 Declination Declination NNP A34005 2692 4 , , , A34005 2692 5 and and CC A34005 2692 6 his -PRON- PRP$ A34005 2692 7 Altitude altitude NN A34005 2692 8 be be VBP A34005 2692 9 30 30 CD A34005 2692 10 deg deg NN A34005 2692 11 . . . A34005 2693 1 the the DT A34005 2693 2 prescribed prescribed JJ A34005 2693 3 extent extent NN A34005 2693 4 doubled double VBD A34005 2693 5 shall shall MD A34005 2693 6 reach reach VB A34005 2693 7 from from IN A34005 2693 8 the the DT A34005 2693 9 annexed annex VBN A34005 2693 10 Tangent Tangent NNP A34005 2693 11 of of IN A34005 2693 12 30 30 CD A34005 2693 13 deg deg NN A34005 2693 14 . . . A34005 2694 1 to to IN A34005 2694 2 the the DT A34005 2694 3 Versed versed JJ A34005 2694 4 sine sine NN A34005 2694 5 of of IN A34005 2694 6 75 75 CD A34005 2694 7 deg deg NN A34005 2694 8 . . . A34005 2695 1 44′ 44′ CD A34005 2695 2 for for IN A34005 2695 3 the the DT A34005 2695 4 Suns Suns NNPS A34005 2695 5 Azimuth Azimuth NNP A34005 2695 6 from from IN A34005 2695 7 the the DT A34005 2695 8 South South NNP A34005 2695 9 . . . A34005 2696 1 3 3 LS A34005 2696 2 In in IN A34005 2696 3 Summer Summer NNP A34005 2696 4 when when WRB A34005 2696 5 the the DT A34005 2696 6 Altitude altitude NN A34005 2696 7 is be VBZ A34005 2696 8 more more JJR A34005 2696 9 then then RB A34005 2696 10 40 40 CD A34005 2696 11 deg deg NN A34005 2696 12 . . . A34005 2697 1 and and CC A34005 2697 2 lesse lesse NNP A34005 2697 3 then then RB A34005 2697 4 60 60 CD A34005 2697 5 deg deg NN A34005 2697 6 . . . A34005 2698 1 apply apply VB A34005 2698 2 the the DT A34005 2698 3 extent extent NN A34005 2698 4 from from IN A34005 2698 5 the the DT A34005 2698 6 sine sine NN A34005 2698 7 of of IN A34005 2698 8 the the DT A34005 2698 9 Declination Declination NNP A34005 2698 10 to to IN A34005 2698 11 the the DT A34005 2698 12 thread thread NN A34005 2698 13 , , , A34005 2698 14 laid lay VBN A34005 2698 15 over over IN A34005 2698 16 the the DT A34005 2698 17 Secant Secant NNP A34005 2698 18 of of IN A34005 2698 19 the the DT A34005 2698 20 Altitude altitude NN A34005 2698 21 once once RB A34005 2698 22 to to IN A34005 2698 23 the the DT A34005 2698 24 Discontinued Discontinued NNP A34005 2698 25 Tangent Tangent NNP A34005 2698 26 placed place VBD A34005 2698 27 a a DT A34005 2698 28 Crosse Crosse NNP A34005 2698 29 the the DT A34005 2698 30 quadrant quadrant NN A34005 2698 31 from from IN A34005 2698 32 the the DT A34005 2698 33 Altitude Altitude NNP A34005 2698 34 backwards backwards IN A34005 2698 35 minding mind VBG A34005 2698 36 how how WRB A34005 2698 37 farre farre NNS A34005 2698 38 it -PRON- PRP A34005 2698 39 reaches reach VBZ A34005 2698 40 , , , A34005 2698 41 just just RB A34005 2698 42 against against IN A34005 2698 43 the the DT A34005 2698 44 like like JJ A34005 2698 45 arke arke NNS A34005 2698 46 in in IN A34005 2698 47 the the DT A34005 2698 48 annexed annex VBN A34005 2698 49 Tangent Tangent NNP A34005 2698 50 stands stand VBZ A34005 2698 51 the the DT A34005 2698 52 Versed versed JJ A34005 2698 53 sine sine NN A34005 2698 54 of of IN A34005 2698 55 the the DT A34005 2698 56 Azimuth Azimuth NNP A34005 2698 57 from from IN A34005 2698 58 the the DT A34005 2698 59 South South NNP A34005 2698 60 . . . A34005 2699 1 4 4 LS A34005 2699 2 When when WRB A34005 2699 3 the the DT A34005 2699 4 Altitude altitude NN A34005 2699 5 is be VBZ A34005 2699 6 more more JJR A34005 2699 7 then then RB A34005 2699 8 60 60 CD A34005 2699 9 deg deg NN A34005 2699 10 . . . A34005 2700 1 this this DT A34005 2700 2 fitted fitted JJ A34005 2700 3 Scale Scale NNP A34005 2700 4 is be VBZ A34005 2700 5 of of IN A34005 2700 6 worst bad JJS A34005 2700 7 performance performance NN A34005 2700 8 , , , A34005 2700 9 however however RB A34005 2700 10 the the DT A34005 2700 11 defect defect NN A34005 2700 12 of of IN A34005 2700 13 the the DT A34005 2700 14 Secant Secant NNP A34005 2700 15 might may MD A34005 2700 16 be be VB A34005 2700 17 supplyed supply VBN A34005 2700 18 by by IN A34005 2700 19 Varying vary VBG A34005 2700 20 the the DT A34005 2700 21 Proportion Proportion NNP A34005 2700 22 . . . A34005 2701 1 6 6 CD A34005 2701 2 To to TO A34005 2701 3 find find VB A34005 2701 4 the the DT A34005 2701 5 Suns Suns NNPS A34005 2701 6 Altitude Altitude NNP A34005 2701 7 on on IN A34005 2701 8 all all DT A34005 2701 9 Azimuths azimuth NNS A34005 2701 10 . . . A34005 2702 1 JUst just RB A34005 2702 2 against against IN A34005 2702 3 the the DT A34005 2702 4 Azimuth Azimuth NNP A34005 2702 5 proposed propose VBN A34005 2702 6 stands stand VBZ A34005 2702 7 the the DT A34005 2702 8 Suns Suns NNPS A34005 2702 9 altitude altitude NN A34005 2702 10 in in IN A34005 2702 11 the the DT A34005 2702 12 Equator Equator NNP A34005 2702 13 suitable suitable JJ A34005 2702 14 thereto thereto NN A34005 2702 15 , , , A34005 2702 16 which which WDT A34005 2702 17 was be VBD A34005 2702 18 the the DT A34005 2702 19 first first JJ A34005 2702 20 Arke Arke NNP A34005 2702 21 found find VBN A34005 2702 22 by by IN A34005 2702 23 Calculation Calculation NNP A34005 2702 24 when when WRB A34005 2702 25 we -PRON- PRP A34005 2702 26 treated treat VBD A34005 2702 27 of of IN A34005 2702 28 this this DT A34005 2702 29 subject subject NN A34005 2702 30 , , , A34005 2702 31 and and CC A34005 2702 32 the the DT A34005 2702 33 second second JJ A34005 2702 34 arke arke NN A34005 2702 35 is be VBZ A34005 2702 36 to to TO A34005 2702 37 be be VB A34005 2702 38 found find VBN A34005 2702 39 by by IN A34005 2702 40 a a DT A34005 2702 41 Proportion Proportion NNP A34005 2702 42 in in IN A34005 2702 43 sines sine NNS A34005 2702 44 wrought work VBN A34005 2702 45 upon upon IN A34005 2702 46 the the DT A34005 2702 47 quadrant quadrant NN A34005 2702 48 . . . A34005 2703 1 This this DT A34005 2703 2 quadrant quadrant NN A34005 2703 3 is be VBZ A34005 2703 4 also also RB A34005 2703 5 particularly particularly RB A34005 2703 6 fitted fit VBN A34005 2703 7 for for IN A34005 2703 8 giving give VBG A34005 2703 9 the the DT A34005 2703 10 houre houre NN A34005 2703 11 , , , A34005 2703 12 and and CC A34005 2703 13 Azimuth Azimuth NNP A34005 2703 14 in in IN A34005 2703 15 the the DT A34005 2703 16 equal equal JJ A34005 2703 17 limbe limbe NN A34005 2703 18 . . . A34005 2704 1 The the DT A34005 2704 2 sine sine NN A34005 2704 3 of of IN A34005 2704 4 90 90 CD A34005 2704 5 deg deg NN A34005 2704 6 . . . A34005 2705 1 made make VBD A34005 2705 2 equal equal JJ A34005 2705 3 to to IN A34005 2705 4 the the DT A34005 2705 5 sine sine NN A34005 2705 6 if if IN A34005 2705 7 51 51 CD A34005 2705 8 deg deg NN A34005 2705 9 . . . A34005 2706 1 32′ 32′ NNP A34005 2706 2 gives give VBZ A34005 2706 3 the the DT A34005 2706 4 altitude altitude NN A34005 2706 5 of of IN A34005 2706 6 the the DT A34005 2706 7 Sun Sun NNP A34005 2706 8 or or CC A34005 2706 9 Stars Stars NNPS A34005 2706 10 at at IN A34005 2706 11 six six CD A34005 2706 12 , , , A34005 2706 13 for for IN A34005 2706 14 if if IN A34005 2706 15 the the DT A34005 2706 16 thread thread NN A34005 2706 17 be be VB A34005 2706 18 laid lay VBN A34005 2706 19 over over IN A34005 2706 20 the the DT A34005 2706 21 Declination declination NN A34005 2706 22 counted count VBN A34005 2706 23 in in IN A34005 2706 24 the the DT A34005 2706 25 said say VBN A34005 2706 26 sine sine NN A34005 2706 27 , , , A34005 2706 28 it -PRON- PRP A34005 2706 29 shewes shew VBZ A34005 2706 30 the the DT A34005 2706 31 Altitude altitude NN A34005 2706 32 sought seek VBN A34005 2706 33 in in IN A34005 2706 34 the the DT A34005 2706 35 limbe limbe NN A34005 2706 36 , , , A34005 2706 37 so so CC A34005 2706 38 when when WRB A34005 2706 39 the the DT A34005 2706 40 Sun Sun NNP A34005 2706 41 hath hath NNP A34005 2706 42 13 13 CD A34005 2706 43 deg deg NN A34005 2706 44 . . . A34005 2707 1 of of IN A34005 2707 2 Declination Declination NNP A34005 2707 3 his -PRON- PRP$ A34005 2707 4 Altitude altitude NN A34005 2707 5 or or CC A34005 2707 6 Depression depression NN A34005 2707 7 at at IN A34005 2707 8 6 6 CD A34005 2707 9 is be VBZ A34005 2707 10 10 10 CD A34005 2707 11 deg deg NN A34005 2707 12 . . . A34005 2708 1 9′ 9′ CD A34005 2708 2 . . . A34005 2709 1 It -PRON- PRP A34005 2709 2 also also RB A34005 2709 3 gives give VBZ A34005 2709 4 the the DT A34005 2709 5 Vertical Vertical NNP A34005 2709 6 Altitude Altitude NNP A34005 2709 7 if if IN A34005 2709 8 the the DT A34005 2709 9 Declination declination NN A34005 2709 10 be be VB A34005 2709 11 counted count VBN A34005 2709 12 in in IN A34005 2709 13 the the DT A34005 2709 14 limbe limbe NN A34005 2709 15 , , , A34005 2709 16 seeke seeke NNP A34005 2709 17 what what WP A34005 2709 18 arke arke VBZ A34005 2709 19 it -PRON- PRP A34005 2709 20 cuts cut VBZ A34005 2709 21 in in IN A34005 2709 22 that that DT A34005 2709 23 particular particular JJ A34005 2709 24 sine sine NN A34005 2709 25 , , , A34005 2709 26 when when WRB A34005 2709 27 the the DT A34005 2709 28 Sun Sun NNP A34005 2709 29 hath hath NNP A34005 2709 30 13 13 CD A34005 2709 31 deg deg NN A34005 2709 32 . . . A34005 2710 1 of of IN A34005 2710 2 Declination Declination NNP A34005 2710 3 , , , A34005 2710 4 his -PRON- PRP$ A34005 2710 5 Vertical Vertical NNP A34005 2710 6 Altitude Altitude NNP A34005 2710 7 or or CC A34005 2710 8 Depression Depression NNP A34005 2710 9 is be VBZ A34005 2710 10 16 16 CD A34005 2710 11 deg deg NN A34005 2710 12 . . . A34005 2711 1 42′ 42′ CD A34005 2711 2 . . . A34005 2712 1 To to TO A34005 2712 2 find find VB A34005 2712 3 the the DT A34005 2712 4 houre houre NN A34005 2712 5 of of IN A34005 2712 6 the the DT A34005 2712 7 Day day NN A34005 2712 8 . . . A34005 2713 1 HAving have VBG A34005 2713 2 found find VBN A34005 2713 3 the the DT A34005 2713 4 Altitude altitude NN A34005 2713 5 of of IN A34005 2713 6 the the DT A34005 2713 7 Sun Sun NNP A34005 2713 8 or or CC A34005 2713 9 Stars Stars NNPS A34005 2713 10 at at IN A34005 2713 11 six six CD A34005 2713 12 , , , A34005 2713 13 take take VB A34005 2713 14 the the DT A34005 2713 15 distance distance NN A34005 2713 16 between between IN A34005 2713 17 the the DT A34005 2713 18 sine sine NN A34005 2713 19 thereof thereof RB A34005 2713 20 in in IN A34005 2713 21 the the DT A34005 2713 22 line line NN A34005 2713 23 Sines Sines NNP A34005 2713 24 , , , A34005 2713 25 and and CC A34005 2713 26 the the DT A34005 2713 27 Altitude altitude NN A34005 2713 28 given give VBN A34005 2713 29 , , , A34005 2713 30 and and CC A34005 2713 31 entring entre VBG A34005 2713 32 one one CD A34005 2713 33 foot foot NN A34005 2713 34 of of IN A34005 2713 35 that that DT A34005 2713 36 extent extent NN A34005 2713 37 at at IN A34005 2713 38 the the DT A34005 2713 39 Declination declination NN A34005 2713 40 in in IN A34005 2713 41 the the DT A34005 2713 42 Scale scale NN A34005 2713 43 of of IN A34005 2713 44 entrance entrance NN A34005 2713 45 laying lay VBG A34005 2713 46 the the DT A34005 2713 47 thread thread NN A34005 2713 48 to to IN A34005 2713 49 the the DT A34005 2713 50 other other JJ A34005 2713 51 foot foot NN A34005 2713 52 according accord VBG A34005 2713 53 to to IN A34005 2713 54 nearest near JJS A34005 2713 55 distance distance NN A34005 2713 56 , , , A34005 2713 57 it -PRON- PRP A34005 2713 58 will will MD A34005 2713 59 shew shew VB A34005 2713 60 the the DT A34005 2713 61 houre houre NN A34005 2713 62 from from IN A34005 2713 63 six six CD A34005 2713 64 in in IN A34005 2713 65 the the DT A34005 2713 66 limbe limbe NN A34005 2713 67 . . . A34005 2714 1 Example example NN A34005 2714 2 . . . A34005 2715 1 When when WRB A34005 2715 2 the the DT A34005 2715 3 Sun Sun NNP A34005 2715 4 hath hath NNP A34005 2715 5 13 13 CD A34005 2715 6 deg deg NN A34005 2715 7 . . . A34005 2716 1 of of IN A34005 2716 2 Declination Declination NNP A34005 2716 3 his -PRON- PRP$ A34005 2716 4 Altitude altitude NN A34005 2716 5 , , , A34005 2716 6 or or CC A34005 2716 7 Depression depression NN A34005 2716 8 at at IN A34005 2716 9 six six CD A34005 2716 10 will will MD A34005 2716 11 be be VB A34005 2716 12 10 10 CD A34005 2716 13 deg deg NN A34005 2716 14 . . . A34005 2717 1 9′ 9′ CD A34005 2717 2 if if IN A34005 2717 3 the the DT A34005 2717 4 Declination Declination NNP A34005 2717 5 be be VB A34005 2717 6 North North NNP A34005 2717 7 , , , A34005 2717 8 and and CC A34005 2717 9 the the DT A34005 2717 10 Altitude altitude NN A34005 2717 11 of of IN A34005 2717 12 the the DT A34005 2717 13 Sun Sun NNP A34005 2717 14 be be VB A34005 2717 15 24 24 CD A34005 2717 16 deg deg NN A34005 2717 17 . . . A34005 2718 1 5′ 5′ CD A34005 2718 2 the the DT A34005 2718 3 time time NN A34005 2718 4 of of IN A34005 2718 5 the the DT A34005 2718 6 day day NN A34005 2718 7 will will MD A34005 2718 8 be be VB A34005 2718 9 halfe halfe NN A34005 2718 10 an an DT A34005 2718 11 houre houre NN A34005 2718 12 past past JJ A34005 2718 13 7 7 CD A34005 2718 14 in in IN A34005 2718 15 the the DT A34005 2718 16 morning morning NN A34005 2718 17 , , , A34005 2718 18 or or CC A34005 2718 19 as as RB A34005 2718 20 much much JJ A34005 2718 21 past past JJ A34005 2718 22 4 4 CD A34005 2718 23 in in IN A34005 2718 24 the the DT A34005 2718 25 afternoon afternoon NN A34005 2718 26 . . . A34005 2719 1 In in IN A34005 2719 2 winter winter NN A34005 2719 3 when when WRB A34005 2719 4 the the DT A34005 2719 5 Sun Sun NNP A34005 2719 6 hath hath NN A34005 2719 7 South South NNP A34005 2719 8 Declination Declination NNP A34005 2719 9 as as RB A34005 2719 10 also also RB A34005 2719 11 for for IN A34005 2719 12 such such JJ A34005 2719 13 Stars star NNS A34005 2719 14 as as IN A34005 2719 15 have have VBP A34005 2719 16 South South NNP A34005 2719 17 Declination Declination NNP A34005 2719 18 , , , A34005 2719 19 the the DT A34005 2719 20 sine sine NN A34005 2719 21 of of IN A34005 2719 22 their -PRON- PRP$ A34005 2719 23 Altitude altitude NN A34005 2719 24 must must MD A34005 2719 25 be be VB A34005 2719 26 added add VBN A34005 2719 27 to to IN A34005 2719 28 the the DT A34005 2719 29 sine sine NN A34005 2719 30 of of IN A34005 2719 31 their -PRON- PRP$ A34005 2719 32 Depression Depression NNP A34005 2719 33 at at IN A34005 2719 34 six six CD A34005 2719 35 , , , A34005 2719 36 and and CC A34005 2719 37 that that DT A34005 2719 38 whole whole JJ A34005 2719 39 extent extent NN A34005 2719 40 entred entre VBD A34005 2719 41 as as IN A34005 2719 42 before before RB A34005 2719 43 . . . A34005 2720 1 When when WRB A34005 2720 2 the the DT A34005 2720 3 Sun Sun NNP A34005 2720 4 hath hath NN A34005 2720 5 the the DT A34005 2720 6 same same JJ A34005 2720 7 South South NNP A34005 2720 8 Declination Declination NNP A34005 2720 9 , , , A34005 2720 10 if if IN A34005 2720 11 his -PRON- PRP$ A34005 2720 12 Altitude altitude NN A34005 2720 13 be be VBP A34005 2720 14 11 11 CD A34005 2720 15 deg deg NN A34005 2720 16 . . . A34005 2721 1 7′ 7′ IN A34005 2721 2 the the DT A34005 2721 3 time time NN A34005 2721 4 of of IN A34005 2721 5 the the DT A34005 2721 6 day day NN A34005 2721 7 will will MD A34005 2721 8 be be VB A34005 2721 9 half half PDT A34005 2721 10 an an DT A34005 2721 11 houre houre NN A34005 2721 12 past past JJ A34005 2721 13 8 8 CD A34005 2721 14 in in IN A34005 2721 15 the the DT A34005 2721 16 morning morning NN A34005 2721 17 , , , A34005 2721 18 or or CC A34005 2721 19 30 30 CD A34005 2721 20 min min NN A34005 2721 21 . . . A34005 2722 1 past past IN A34005 2722 2 3 3 CD A34005 2722 3 in in IN A34005 2722 4 the the DT A34005 2722 5 afternoon afternoon NN A34005 2722 6 . . . A34005 2723 1 To to TO A34005 2723 2 find find VB A34005 2723 3 the the DT A34005 2723 4 Azimuth Azimuth NNP A34005 2723 5 of of IN A34005 2723 6 the the DT A34005 2723 7 Sun Sun NNP A34005 2723 8 or or CC A34005 2723 9 Stars Stars NNPS A34005 2723 10 . . . A34005 2724 1 LAy lay VB A34005 2724 2 the the DT A34005 2724 3 thread thread NN A34005 2724 4 over over IN A34005 2724 5 their -PRON- PRP$ A34005 2724 6 Altitude altitude NN A34005 2724 7 in in IN A34005 2724 8 the the DT A34005 2724 9 particular particular JJ A34005 2724 10 sine sine NN A34005 2724 11 fitted fit VBD A34005 2724 12 to to IN A34005 2724 13 the the DT A34005 2724 14 Latitude Latitude NNP A34005 2724 15 , , , A34005 2724 16 and and CC A34005 2724 17 in in IN A34005 2724 18 the the DT A34005 2724 19 equal equal JJ A34005 2724 20 Limbe Limbe NNP A34005 2724 21 it -PRON- PRP A34005 2724 22 shewes shew VBZ A34005 2724 23 a a DT A34005 2724 24 fourth fourth JJ A34005 2724 25 Arke Arke NNP A34005 2724 26 . . . A34005 2725 1 When when WRB A34005 2725 2 the the DT A34005 2725 3 Declination Declination NNP A34005 2725 4 is be VBZ A34005 2725 5 North North NNP A34005 2725 6 , , , A34005 2725 7 take take VB A34005 2725 8 the the DT A34005 2725 9 distance distance NN A34005 2725 10 in in IN A34005 2725 11 the the DT A34005 2725 12 line line NN A34005 2725 13 of of IN A34005 2725 14 Sines Sines NNPS A34005 2725 15 between between IN A34005 2725 16 that that IN A34005 2725 17 fourth fourth JJ A34005 2725 18 Arke Arke NNS A34005 2725 19 and and CC A34005 2725 20 the the DT A34005 2725 21 Declination declination NN A34005 2725 22 , , , A34005 2725 23 and and CC A34005 2725 24 enter enter VB A34005 2725 25 one one CD A34005 2725 26 foot foot NN A34005 2725 27 of of IN A34005 2725 28 that that DT A34005 2725 29 extent extent NN A34005 2725 30 at at IN A34005 2725 31 the the DT A34005 2725 32 Altitude altitude NN A34005 2725 33 in in IN A34005 2725 34 the the DT A34005 2725 35 Scale scale NN A34005 2725 36 of of IN A34005 2725 37 entrance entrance NN A34005 2725 38 , , , A34005 2725 39 laying lay VBG A34005 2725 40 the the DT A34005 2725 41 thread thread NN A34005 2725 42 to to IN A34005 2725 43 the the DT A34005 2725 44 other other JJ A34005 2725 45 foot foot NN A34005 2725 46 , , , A34005 2725 47 and and CC A34005 2725 48 in in IN A34005 2725 49 the the DT A34005 2725 50 equal equal JJ A34005 2725 51 Limbe Limbe NNP A34005 2725 52 it -PRON- PRP A34005 2725 53 shewes shew VBD A34005 2725 54 the the DT A34005 2725 55 Azimuth Azimuth NNP A34005 2725 56 from from IN A34005 2725 57 the the DT A34005 2725 58 East East NNP A34005 2725 59 or or CC A34005 2725 60 West West NNP A34005 2725 61 . . . A34005 2726 1 Example example NN A34005 2726 2 . . . A34005 2727 1 When when WRB A34005 2727 2 the the DT A34005 2727 3 Altitude altitude NN A34005 2727 4 is be VBZ A34005 2727 5 44 44 CD A34005 2727 6 deg deg NN A34005 2727 7 . . . A34005 2728 1 39′ 39′ LS A34005 2728 2 the the DT A34005 2728 3 Arch Arch NNP A34005 2728 4 found find VBD A34005 2728 5 in in IN A34005 2728 6 the the DT A34005 2728 7 equal equal JJ A34005 2728 8 Limbe Limbe NNP A34005 2728 9 will will MD A34005 2728 10 be be VB A34005 2728 11 33 33 CD A34005 2728 12 deg deg NN A34005 2728 13 . . . A34005 2729 1 20′ 20′ CD A34005 2729 2 then then RB A34005 2729 3 if if IN A34005 2729 4 the the DT A34005 2729 5 Declination Declination NNP A34005 2729 6 be be VB A34005 2729 7 23 23 CD A34005 2729 8 deg deg NN A34005 2729 9 31′ 31′ NNP A34005 2729 10 North North NNP A34005 2729 11 , , , A34005 2729 12 the the DT A34005 2729 13 distance distance NN A34005 2729 14 in in IN A34005 2729 15 the the DT A34005 2729 16 line line NN A34005 2729 17 of of IN A34005 2729 18 sines sine NNS A34005 2729 19 between between IN A34005 2729 20 it -PRON- PRP A34005 2729 21 and and CC A34005 2729 22 the the DT A34005 2729 23 said say VBD A34005 2729 24 Arke Arke NNP A34005 2729 25 being be VBG A34005 2729 26 entred entre VBN A34005 2729 27 at at IN A34005 2729 28 44 44 CD A34005 2729 29 deg deg NN A34005 2729 30 . . . A34005 2730 1 39′ 39′ CD A34005 2730 2 in in IN A34005 2730 3 the the DT A34005 2730 4 Scale scale NN A34005 2730 5 of of IN A34005 2730 6 entrance entrance NN A34005 2730 7 the the DT A34005 2730 8 thread thread NN A34005 2730 9 being be VBG A34005 2730 10 laid lay VBN A34005 2730 11 to to IN A34005 2730 12 the the DT A34005 2730 13 other other JJ A34005 2730 14 foot foot NN A34005 2730 15 will will MD A34005 2730 16 shew shew VB A34005 2730 17 the the DT A34005 2730 18 Azimuth Azimuth NNP A34005 2730 19 to to TO A34005 2730 20 be be VB A34005 2730 21 20 20 CD A34005 2730 22 deg deg NN A34005 2730 23 . . . A34005 2731 1 from from IN A34005 2731 2 the the DT A34005 2731 3 East East NNP A34005 2731 4 or or CC A34005 2731 5 West West NNP A34005 2731 6 . . . A34005 2732 1 But but CC A34005 2732 2 if if IN A34005 2732 3 the the DT A34005 2732 4 Declination Declination NNP A34005 2732 5 be be VB A34005 2732 6 South South NNP A34005 2732 7 , , , A34005 2732 8 adde adde JJ A34005 2732 9 with with IN A34005 2732 10 your -PRON- PRP$ A34005 2732 11 Compasses compass NNS A34005 2732 12 the the DT A34005 2732 13 sine sine NN A34005 2732 14 thereof thereof RB A34005 2732 15 to to IN A34005 2732 16 the the DT A34005 2732 17 sine sine NN A34005 2732 18 of of IN A34005 2732 19 the the DT A34005 2732 20 fourth fourth JJ A34005 2732 21 Arke Arke NNP A34005 2732 22 , , , A34005 2732 23 and and CC A34005 2732 24 enter enter VBP A34005 2732 25 that that DT A34005 2732 26 whole whole JJ A34005 2732 27 extent extent NN A34005 2732 28 as as IN A34005 2732 29 before before RB A34005 2732 30 , , , A34005 2732 31 and and CC A34005 2732 32 the the DT A34005 2732 33 thread thread NN A34005 2732 34 will will MD A34005 2732 35 shew shew VB A34005 2732 36 the the DT A34005 2732 37 Azimuth Azimuth NNP A34005 2732 38 in in IN A34005 2732 39 the the DT A34005 2732 40 equal equal JJ A34005 2732 41 limbe limbe NN A34005 2732 42 . . . A34005 2733 1 Example example NN A34005 2733 2 . . . A34005 2734 1 When when WRB A34005 2734 2 the the DT A34005 2734 3 Altitude altitude NN A34005 2734 4 is be VBZ A34005 2734 5 12d 12d NNS A34005 2734 6 . . . A34005 2735 1 13′ 13′ CD A34005 2735 2 the the DT A34005 2735 3 fourth fourth JJ A34005 2735 4 Arch Arch NNP A34005 2735 5 will will MD A34005 2735 6 be be VB A34005 2735 7 found find VBN A34005 2735 8 to to TO A34005 2735 9 be be VB A34005 2735 10 9 9 CD A34005 2735 11 degrees degree NNS A34005 2735 12 32 32 CD A34005 2735 13 minutes minute NNS A34005 2735 14 , , , A34005 2735 15 then then RB A34005 2735 16 admit admit VB A34005 2735 17 the the DT A34005 2735 18 Declination declination NN A34005 2735 19 to to TO A34005 2735 20 be be VB A34005 2735 21 13 13 CD A34005 2735 22 degrees degree NNS A34005 2735 23 South south NN A34005 2735 24 , , , A34005 2735 25 whereto whereto NN A34005 2735 26 adding add VBG A34005 2735 27 the the DT A34005 2735 28 Sine Sine NNP A34005 2735 29 of of IN A34005 2735 30 the the DT A34005 2735 31 fourth fourth JJ A34005 2735 32 Arke Arke NNP A34005 2735 33 , , , A34005 2735 34 the the DT A34005 2735 35 whole whole NN A34005 2735 36 will will MD A34005 2735 37 be be VB A34005 2735 38 equall equall JJ A34005 2735 39 to to IN A34005 2735 40 the the DT A34005 2735 41 sine sine NN A34005 2735 42 of of IN A34005 2735 43 22 22 CD A34005 2735 44 deg deg NN A34005 2735 45 . . . A34005 2736 1 41 41 CD A34005 2736 2 minutes minute NNS A34005 2736 3 , , , A34005 2736 4 and and CC A34005 2736 5 this this DT A34005 2736 6 whole whole JJ A34005 2736 7 extent extent NN A34005 2736 8 being be VBG A34005 2736 9 entred entre VBN A34005 2736 10 at at IN A34005 2736 11 12 12 CD A34005 2736 12 deg deg NN A34005 2736 13 . . . A34005 2737 1 13′ 13′ CD A34005 2737 2 in in IN A34005 2737 3 the the DT A34005 2737 4 Scale Scale NNP A34005 2737 5 of of IN A34005 2737 6 entrance entrance NN A34005 2737 7 lay lie VBD A34005 2737 8 the the DT A34005 2737 9 thread thread NN A34005 2737 10 to to IN A34005 2737 11 the the DT A34005 2737 12 other other JJ A34005 2737 13 foot foot NN A34005 2737 14 according accord VBG A34005 2737 15 to to IN A34005 2737 16 nearest near JJS A34005 2737 17 distance distance NN A34005 2737 18 , , , A34005 2737 19 and and CC A34005 2737 20 it -PRON- PRP A34005 2737 21 will will MD A34005 2737 22 intersect intersect VB A34005 2737 23 the the DT A34005 2737 24 equal equal JJ A34005 2737 25 . . . A34005 2738 1 Limbe Limbe NNP A34005 2738 2 at at IN A34005 2738 3 40 40 CD A34005 2738 4 deg deg NN A34005 2738 5 . . . A34005 2739 1 and and CC A34005 2739 2 so so RB A34005 2739 3 much much JJ A34005 2739 4 is be VBZ A34005 2739 5 the the DT A34005 2739 6 Suns Suns NNPS A34005 2739 7 Azimuth Azimuth NNP A34005 2739 8 from from IN A34005 2739 9 the the DT A34005 2739 10 East East NNP A34005 2739 11 or or CC A34005 2739 12 West West NNP A34005 2739 13 . . . A34005 2740 1 Because because IN A34005 2740 2 the the DT A34005 2740 3 Scale Scale NNP A34005 2740 4 of of IN A34005 2740 5 entrance entrance NN A34005 2740 6 could could MD A34005 2740 7 not not RB A34005 2740 8 be be VB A34005 2740 9 continued continue VBN A34005 2740 10 by by IN A34005 2740 11 reason reason NN A34005 2740 12 of of IN A34005 2740 13 the the DT A34005 2740 14 Projection Projection NNP A34005 2740 15 , , , A34005 2740 16 the the DT A34005 2740 17 residue residue NN A34005 2740 18 of of IN A34005 2740 19 it -PRON- PRP A34005 2740 20 is be VBZ A34005 2740 21 put put VBN A34005 2740 22 on on RP A34005 2740 23 an an DT A34005 2740 24 little little JJ A34005 2740 25 Line line NN A34005 2740 26 neare neare NN A34005 2740 27 the the DT A34005 2740 28 Amanack Amanack NNP A34005 2740 29 the the DT A34005 2740 30 use use NN A34005 2740 31 whereof whereof NNP A34005 2740 32 is be VBZ A34005 2740 33 to to TO A34005 2740 34 lay lay VB A34005 2740 35 the the DT A34005 2740 36 thread thread NN A34005 2740 37 to to IN A34005 2740 38 the the DT A34005 2740 39 Altitude altitude NN A34005 2740 40 in in IN A34005 2740 41 it -PRON- PRP A34005 2740 42 when when WRB A34005 2740 43 the the DT A34005 2740 44 Azimuth Azimuth NNP A34005 2740 45 is be VBZ A34005 2740 46 sought seek VBN A34005 2740 47 , , , A34005 2740 48 and and CC A34005 2740 49 in in IN A34005 2740 50 the the DT A34005 2740 51 Limbe Limbe NNP A34005 2740 52 it -PRON- PRP A34005 2740 53 shewes shew VBD A34005 2740 54 at at IN A34005 2740 55 what what WP A34005 2740 56 Arke Arke NNP A34005 2740 57 of of IN A34005 2740 58 the the DT A34005 2740 59 Sines Sines NNPS A34005 2740 60 the the DT A34005 2740 61 point point NN A34005 2740 62 of of IN A34005 2740 63 entrance entrance NN A34005 2740 64 will will MD A34005 2740 65 happen happen VB A34005 2740 66 which which WDT A34005 2740 67 may may MD A34005 2740 68 likewise likewise RB A34005 2740 69 be be VB A34005 2740 70 found find VBN A34005 2740 71 by by IN A34005 2740 72 pricking prick VBG A34005 2740 73 downe downe NNP A34005 2740 74 the the DT A34005 2740 75 Co co NN A34005 2740 76 - - NN A34005 2740 77 altitude altitude NN A34005 2740 78 on on IN A34005 2740 79 the the DT A34005 2740 80 line line NN A34005 2740 81 of of IN A34005 2740 82 Sines Sines NNP A34005 2740 83 out out IN A34005 2740 84 of of IN A34005 2740 85 the the DT A34005 2740 86 fitted fitted JJ A34005 2740 87 houre houre NN A34005 2740 88 Scale Scale NNP A34005 2740 89 on on IN A34005 2740 90 the the DT A34005 2740 91 right right JJ A34005 2740 92 edge edge NN A34005 2740 93 . . . A34005 2741 1 How how WRB A34005 2741 2 to to TO A34005 2741 3 find find VB A34005 2741 4 the the DT A34005 2741 5 houre houre NN A34005 2741 6 and and CC A34005 2741 7 Azimuth Azimuth NNP A34005 2741 8 generally generally RB A34005 2741 9 in in IN A34005 2741 10 the the DT A34005 2741 11 equal equal JJ A34005 2741 12 limb limb NN A34005 2741 13 either either CC A34005 2741 14 with with IN A34005 2741 15 or or CC A34005 2741 16 without without IN A34005 2741 17 Tangents Tangents NNP A34005 2741 18 or or CC A34005 2741 19 Secants Secants NNP A34005 2741 20 hath hath NNP A34005 2741 21 been be VBN A34005 2741 22 also also RB A34005 2741 23 shewed shew VBN A34005 2741 24 , , , A34005 2741 25 and and CC A34005 2741 26 how how WRB A34005 2741 27 that that IN A34005 2741 28 those those DT A34005 2741 29 two two CD A34005 2741 30 points point NNS A34005 2741 31 for for IN A34005 2741 32 any any DT A34005 2741 33 Latitude Latitude NNP A34005 2741 34 might may MD A34005 2741 35 be be VB A34005 2741 36 there there RB A34005 2741 37 prickt prickt NNS A34005 2741 38 and and CC A34005 2741 39 might may MD A34005 2741 40 be be VB A34005 2741 41 taken take VBN A34005 2741 42 off off RP A34005 2741 43 , , , A34005 2741 44 either either CC A34005 2741 45 from from IN A34005 2741 46 the the DT A34005 2741 47 Limbe Limbe NNP A34005 2741 48 , , , A34005 2741 49 or or CC A34005 2741 50 from from IN A34005 2741 51 a a DT A34005 2741 52 line line NN A34005 2741 53 of of IN A34005 2741 54 Sines Sines NNP A34005 2741 55 , , , A34005 2741 56 or or CC A34005 2741 57 best good JJS A34005 2741 58 of of IN A34005 2741 59 all all DT A34005 2741 60 by by IN A34005 2741 61 Tables Tables NNPS A34005 2741 62 , , , A34005 2741 63 for for IN A34005 2741 64 halfe halfe NN A34005 2741 65 the the DT A34005 2741 66 natural natural JJ A34005 2741 67 Tangent Tangent NNP A34005 2741 68 of of IN A34005 2741 69 the the DT A34005 2741 70 Latitude Latitude NNP A34005 2741 71 of of IN A34005 2741 72 London London NNP A34005 2741 73 , , , A34005 2741 74 is be VBZ A34005 2741 75 equal equal JJ A34005 2741 76 to to IN A34005 2741 77 the the DT A34005 2741 78 sine sine NN A34005 2741 79 of of IN A34005 2741 80 〈 〈 NNP A34005 2741 81 ◊ ◊ NNP A34005 2741 82 〉 〉 NNP A34005 2741 83 39 39 CD A34005 2741 84 deg deg NN A34005 2741 85 . . . A34005 2742 1 And and CC A34005 2742 2 half half PDT A34005 2742 3 the the DT A34005 2742 4 Secant secant NN A34005 2742 5 thereof thereof RB A34005 2742 6 equal equal JJ A34005 2742 7 to to IN A34005 2742 8 the the DT A34005 2742 9 sine sine NN A34005 2742 10 of of IN A34005 2742 11 〈 〈 NNP A34005 2742 12 ◊ ◊ NNP A34005 2742 13 〉 〉 NNP A34005 2742 14 53d 53d NNPS A34005 2742 15 . . . A34005 2743 1 30 30 CD A34005 2743 2 Against against IN A34005 2743 3 which which WDT A34005 2743 4 Arkes arke NNS A34005 2743 5 of of IN A34005 2743 6 the the DT A34005 2743 7 Limbe Limbe NNP A34005 2743 8 the the DT A34005 2743 9 Tangent Tangent NNP A34005 2743 10 and and CC A34005 2743 11 Secant Secant NNP A34005 2743 12 of of IN A34005 2743 13 the the DT A34005 2743 14 Latitude Latitude NNP A34005 2743 15 are be VBP A34005 2743 16 graduated graduate VBN A34005 2743 17 , , , A34005 2743 18 but but CC A34005 2743 19 of of IN A34005 2743 20 this this DT A34005 2743 21 enough enough JJ A34005 2743 22 hath hath NN A34005 2743 23 been be VBN A34005 2743 24 said say VBN A34005 2743 25 in in IN A34005 2743 26 the the DT A34005 2743 27 Description description NN A34005 2743 28 of of IN A34005 2743 29 the the DT A34005 2743 30 small small JJ A34005 2743 31 quadrant quadrant NN A34005 2743 32 . . . A34005 2744 1 Of of IN A34005 2744 2 the the DT A34005 2744 3 Quadrat Quadrat NNP A34005 2744 4 and and CC A34005 2744 5 Shadowes Shadowes NNP A34005 2744 6 . . . A34005 2745 1 THe the DT A34005 2745 2 use use NN A34005 2745 3 thereof thereof RB A34005 2745 4 is be VBZ A34005 2745 5 the the DT A34005 2745 6 same same JJ A34005 2745 7 as as IN A34005 2745 8 in in IN A34005 2745 9 the the DT A34005 2745 10 small small JJ A34005 2745 11 quadrant quadrant NN A34005 2745 12 onely onely RB A34005 2745 13 if if IN A34005 2745 14 the the DT A34005 2745 15 thread thread NN A34005 2745 16 hang hang VBP A34005 2745 17 over over RP A34005 2745 18 any any DT A34005 2745 19 degree degree NN A34005 2745 20 of of IN A34005 2745 21 the the DT A34005 2745 22 Limb Limb NNP A34005 2745 23 lesse lesse NN A34005 2745 24 then then RB A34005 2745 25 45d 45d NNS A34005 2745 26 . . . A34005 2746 1 to to TO A34005 2746 2 take take VB A34005 2746 3 out out RP A34005 2746 4 the the DT A34005 2746 5 Tangent tangent NN A34005 2746 6 thereof thereof VBD A34005 2746 7 out out IN A34005 2746 8 of of IN A34005 2746 9 the the DT A34005 2746 10 quadrat quadrat NN A34005 2746 11 count count NN A34005 2746 12 the the DT A34005 2746 13 Arch Arch NNP A34005 2746 14 from from IN A34005 2746 15 the the DT A34005 2746 16 right right JJ A34005 2746 17 edge edge NN A34005 2746 18 of of IN A34005 2746 19 the the DT A34005 2746 20 quadrant quadrant NN A34005 2746 21 towards towards IN A34005 2746 22 the the DT A34005 2746 23 left left NN A34005 2746 24 , , , A34005 2746 25 and and CC A34005 2746 26 lay lie VBD A34005 2746 27 the the DT A34005 2746 28 thread thread NN A34005 2746 29 over over IN A34005 2746 30 it -PRON- PRP A34005 2746 31 , , , A34005 2746 32 the the DT A34005 2746 33 pricks prick NNS A34005 2746 34 are be VBP A34005 2746 35 repeated repeat VBN A34005 2746 36 in in IN A34005 2746 37 the the DT A34005 2746 38 Limbe Limbe NNP A34005 2746 39 to to TO A34005 2746 40 save save VB A34005 2746 41 this this DT A34005 2746 42 trouble trouble NN A34005 2746 43 for for IN A34005 2746 44 those those DT A34005 2746 45 eminent eminent JJ A34005 2746 46 parts part NNS A34005 2746 47 . . . A34005 2747 1 Of of IN A34005 2747 2 the the DT A34005 2747 3 equal equal JJ A34005 2747 4 Limbe Limbe NNP A34005 2747 5 . . . A34005 2748 1 WE we PRP A34005 2748 2 have have VBP A34005 2748 3 before before RB A34005 2748 4 shewed shew VBN A34005 2748 5 that that IN A34005 2748 6 a a DT A34005 2748 7 Sine Sine NNP A34005 2748 8 , , , A34005 2748 9 Tangent Tangent NNP A34005 2748 10 and and CC A34005 2748 11 Secant Secant NNP A34005 2748 12 may may MD A34005 2748 13 be be VB A34005 2748 14 taken take VBN A34005 2748 15 off off RP A34005 2748 16 from from IN A34005 2748 17 it -PRON- PRP A34005 2748 18 , , , A34005 2748 19 and and CC A34005 2748 20 that that IN A34005 2748 21 having have VBG A34005 2748 22 a a DT A34005 2748 23 Sine Sine NNP A34005 2748 24 or or CC A34005 2748 25 Secant Secant NNP A34005 2748 26 with with IN A34005 2748 27 the the DT A34005 2748 28 Radius radius NN A34005 2748 29 thereof thereof IN A34005 2748 30 the the DT A34005 2748 31 correspondent correspondent NN A34005 2748 32 Arke Arke NNP A34005 2748 33 thereto thereto NN A34005 2748 34 might may MD A34005 2748 35 be be VB A34005 2748 36 found find VBN A34005 2748 37 , , , A34005 2748 38 & & CC A34005 2748 39 that that IN A34005 2748 40 a a DT A34005 2748 41 Chord Chord NNP A34005 2748 42 might may MD A34005 2748 43 be be VB A34005 2748 44 taken take VBN A34005 2748 45 off off RP A34005 2748 46 from from IN A34005 2748 47 Concentrick Concentrick NNP A34005 2748 48 Circles Circles NNP A34005 2748 49 or or CC A34005 2748 50 by by IN A34005 2748 51 helpe helpe NNS A34005 2748 52 of of IN A34005 2748 53 a a DT A34005 2748 54 Bead Bead NNP A34005 2748 55 , , , A34005 2748 56 but but CC A34005 2748 57 if if IN A34005 2748 58 both both DT A34005 2748 59 be be VBP A34005 2748 60 wanting want VBG A34005 2748 61 enter enter VBP A34005 2748 62 the the DT A34005 2748 63 Semidiameter Semidiameter NNP A34005 2748 64 or or CC A34005 2748 65 Radius Radius NNP A34005 2748 66 whereto whereto NN A34005 2748 67 you -PRON- PRP A34005 2748 68 would would MD A34005 2748 69 take take VB A34005 2748 70 out out RP A34005 2748 71 a a DT A34005 2748 72 Chord Chord NNP A34005 2748 73 twice twice RB A34005 2748 74 downe downe VB A34005 2748 75 the the DT A34005 2748 76 right right JJ A34005 2748 77 edge edge NN A34005 2748 78 from from IN A34005 2748 79 the the DT A34005 2748 80 Center Center NNP A34005 2748 81 , , , A34005 2748 82 and and CC A34005 2748 83 laying lay VBG A34005 2748 84 the the DT A34005 2748 85 thread thread NN A34005 2748 86 over over IN A34005 2748 87 halfe halfe NN A34005 2748 88 the the DT A34005 2748 89 and and CC A34005 2748 90 laying lay VBG A34005 2748 91 the the DT A34005 2748 92 thread thread NN A34005 2748 93 over over IN A34005 2748 94 halfe halfe NN A34005 2748 95 the the DT A34005 2748 96 Arch Arch NNP A34005 2748 97 proposed propose VBD A34005 2748 98 , , , A34005 2748 99 take take VB A34005 2748 100 the the DT A34005 2748 101 nearest near JJS A34005 2748 102 distance distance NN A34005 2748 103 to to IN A34005 2748 104 it -PRON- PRP A34005 2748 105 , , , A34005 2748 106 and and CC A34005 2748 107 thus thus RB A34005 2748 108 may may MD A34005 2748 109 a a DT A34005 2748 110 chord chord NN A34005 2748 111 be be VB A34005 2748 112 taken take VBN A34005 2748 113 out out RP A34005 2748 114 to to IN A34005 2748 115 any any DT A34005 2748 116 number number NN A34005 2748 117 of of IN A34005 2748 118 degrees degree NNS A34005 2748 119 lesse lesse NNP A34005 2748 120 then then RB A34005 2748 121 a a DT A34005 2748 122 Semicircle Semicircle NNP A34005 2748 123 . . . A34005 2749 1 It -PRON- PRP A34005 2749 2 hath hath NN A34005 2749 3 been be VBN A34005 2749 4 asserted assert VBN A34005 2749 5 also also RB A34005 2749 6 that that IN A34005 2749 7 the the DT A34005 2749 8 houre houre NN A34005 2749 9 and and CC A34005 2749 10 Azimuth Azimuth NNP A34005 2749 11 might may MD A34005 2749 12 be be VB A34005 2749 13 found find VBN A34005 2749 14 generally generally RB A34005 2749 15 without without IN A34005 2749 16 Protraction protraction NN A34005 2749 17 by by IN A34005 2749 18 the the DT A34005 2749 19 sole sole JJ A34005 2749 20 helpe helpe NNS A34005 2749 21 of of IN A34005 2749 22 the the DT A34005 2749 23 Limb Limb NNP A34005 2749 24 with with IN A34005 2749 25 Compasses Compasses NNPS A34005 2749 26 and and CC A34005 2749 27 a a DT A34005 2749 28 thread thread NN A34005 2749 29 . . . A34005 2750 1 Example example NN A34005 2750 2 for for IN A34005 2750 3 finding find VBG A34005 2750 4 the the DT A34005 2750 5 houre houre NN A34005 2750 6 . . . A34005 2751 1 THe the DT A34005 2751 2 first first JJ A34005 2751 3 work work NN A34005 2751 4 will will MD A34005 2751 5 be be VB A34005 2751 6 to to TO A34005 2751 7 find find VB A34005 2751 8 the the DT A34005 2751 9 point point NN A34005 2751 10 of of IN A34005 2751 11 entrance entrance NN A34005 2751 12 take take VB A34005 2751 13 out out RP A34005 2751 14 the the DT A34005 2751 15 Cosine Cosine NNP A34005 2751 16 of of IN A34005 2751 17 the the DT A34005 2751 18 Latitude Latitude NNP A34005 2751 19 by by IN A34005 2751 20 taking take VBG A34005 2751 21 the the DT A34005 2751 22 nearest near JJS A34005 2751 23 distance distance NN A34005 2751 24 to to IN A34005 2751 25 the the DT A34005 2751 26 thread thread NN A34005 2751 27 laid lay VBN A34005 2751 28 over over IN A34005 2751 29 the the DT A34005 2751 30 said say VBN A34005 2751 31 Arke Arke NNP A34005 2751 32 from from IN A34005 2751 33 the the DT A34005 2751 34 concurrence concurrence NN A34005 2751 35 of of IN A34005 2751 36 the the DT A34005 2751 37 Limbe Limbe NNP A34005 2751 38 with with IN A34005 2751 39 the the DT A34005 2751 40 right right JJ A34005 2751 41 edge edge NN A34005 2751 42 , , , A34005 2751 43 and and CC A34005 2751 44 enter enter VB A34005 2751 45 it -PRON- PRP A34005 2751 46 down down IN A34005 2751 47 the the DT A34005 2751 48 right right JJ A34005 2751 49 edge edge NN A34005 2751 50 line line NN A34005 2751 51 and and CC A34005 2751 52 take take VB A34005 2751 53 the the DT A34005 2751 54 nearest near JJS A34005 2751 55 distance distance NN A34005 2751 56 to to IN A34005 2751 57 the the DT A34005 2751 58 thread thread NN A34005 2751 59 laid lay VBN A34005 2751 60 over over IN A34005 2751 61 the the DT A34005 2751 62 complement complement NN A34005 2751 63 of of IN A34005 2751 64 the the DT A34005 2751 65 Declination Declination NNP A34005 2751 66 counted count VBN A34005 2751 67 from from IN A34005 2751 68 the the DT A34005 2751 69 right right JJ A34005 2751 70 edge edge NN A34005 2751 71 , , , A34005 2751 72 this this DT A34005 2751 73 extent extent NN A34005 2751 74 entred entre VBD A34005 2751 75 down down IN A34005 2751 76 the the DT A34005 2751 77 right right JJ A34005 2751 78 edge edge NN A34005 2751 79 finds find VBZ A34005 2751 80 the the DT A34005 2751 81 point point NN A34005 2751 82 of of IN A34005 2751 83 entrance entrance NN A34005 2751 84 , , , A34005 2751 85 let let VB A34005 2751 86 it -PRON- PRP A34005 2751 87 be be VB A34005 2751 88 noted note VBN A34005 2751 89 with with IN A34005 2751 90 a a DT A34005 2751 91 mark mark NN A34005 2751 92 . . . A34005 2752 1 Next next JJ A34005 2752 2 to to TO A34005 2752 3 find find VB A34005 2752 4 the the DT A34005 2752 5 sine sine JJ A34005 2752 6 point point NN A34005 2752 7 take take VB A34005 2752 8 out out RP A34005 2752 9 the the DT A34005 2752 10 sine sine NN A34005 2752 11 of of IN A34005 2752 12 the the DT A34005 2752 13 Declin Declin NNP A34005 2752 14 . . . A34005 2753 1 & & CC A34005 2753 2 enter enter VB A34005 2753 3 it -PRON- PRP A34005 2753 4 dowh dowh VBG A34005 2753 5 the the DT A34005 2753 6 right right JJ A34005 2753 7 edge edge NN A34005 2753 8 , , , A34005 2753 9 & & CC A34005 2753 10 from from IN A34005 2753 11 the the DT A34005 2753 12 point point NN A34005 2753 13 of of IN A34005 2753 14 termination termination NN A34005 2753 15 , , , A34005 2753 16 take take VB A34005 2753 17 the the DT A34005 2753 18 nearest near JJS A34005 2753 19 distance distance NN A34005 2753 20 to to IN A34005 2753 21 the the DT A34005 2753 22 thread thread NN A34005 2753 23 laid lay VBN A34005 2753 24 over over IN A34005 2753 25 the the DT A34005 2753 26 ark ark NN A34005 2753 27 of of IN A34005 2753 28 the the DT A34005 2753 29 Latit Latit NNP A34005 2753 30 . . . A34005 2754 1 counted count VBN A34005 2754 2 from from IN A34005 2754 3 the the DT A34005 2754 4 right right JJ A34005 2754 5 edge edge NN A34005 2754 6 , , , A34005 2754 7 this this DT A34005 2754 8 extent extent NN A34005 2754 9 enter enter VBP A34005 2754 10 from from IN A34005 2754 11 the the DT A34005 2754 12 Center Center NNP A34005 2754 13 and and CC A34005 2754 14 it -PRON- PRP A34005 2754 15 finds find VBZ A34005 2754 16 the the DT A34005 2754 17 sine sine JJ A34005 2754 18 point point NN A34005 2754 19 , , , A34005 2754 20 let let VB A34005 2754 21 it -PRON- PRP A34005 2754 22 be be VB A34005 2754 23 noted note VBN A34005 2754 24 with with IN A34005 2754 25 a a DT A34005 2754 26 marke marke NN A34005 2754 27 . . . A34005 2755 1 Thirdly thirdly RB A34005 2755 2 , , , A34005 2755 3 take take VB A34005 2755 4 out out RP A34005 2755 5 the the DT A34005 2755 6 sine sine NN A34005 2755 7 of of IN A34005 2755 8 the the DT A34005 2755 9 Altitude Altitude NNP A34005 2755 10 & & CC A34005 2755 11 in in IN A34005 2755 12 Winter Winter NNP A34005 2755 13 add add VB A34005 2755 14 it -PRON- PRP A34005 2755 15 in in IN A34005 2755 16 lenght lenght NN A34005 2755 17 to to IN A34005 2755 18 the the DT A34005 2755 19 sine sine JJ A34005 2755 20 point point NN A34005 2755 21 , , , A34005 2755 22 in in IN A34005 2755 23 Summer summer NN A34005 2755 24 enter enter VBP A34005 2755 25 it -PRON- PRP A34005 2755 26 from from IN A34005 2755 27 the the DT A34005 2755 28 Center Center NNP A34005 2755 29 & & CC A34005 2755 30 take take VB A34005 2755 31 the the DT A34005 2755 32 distance distance NN A34005 2755 33 between between IN A34005 2755 34 it -PRON- PRP A34005 2755 35 & & CC A34005 2755 36 the the DT A34005 2755 37 sine sine NN A34005 2755 38 point point NN A34005 2755 39 which which WDT A34005 2755 40 extent extent NN A34005 2755 41 entred entre VBN A34005 2755 42 upon upon IN A34005 2755 43 the the DT A34005 2755 44 point point NN A34005 2755 45 of of IN A34005 2755 46 entrance entrance NN A34005 2755 47 , , , A34005 2755 48 if if IN A34005 2755 49 the the DT A34005 2755 50 thread thread NN A34005 2755 51 be be VB A34005 2755 52 laid lay VBN A34005 2755 53 to to IN A34005 2755 54 the the DT A34005 2755 55 other other JJ A34005 2755 56 foot foot NN A34005 2755 57 shewes shew VBD A34005 2755 58 the the DT A34005 2755 59 the the DT A34005 2755 60 houre houre NN A34005 2755 61 from from IN A34005 2755 62 6 6 CD A34005 2755 63 in in IN A34005 2755 64 the the DT A34005 2755 65 equal equal JJ A34005 2755 66 limb limb NN A34005 2755 67 before before IN A34005 2755 68 or or CC A34005 2755 69 after after IN A34005 2755 70 it -PRON- PRP A34005 2755 71 , , , A34005 2755 72 as as IN A34005 2755 73 the the DT A34005 2755 74 Sine Sine NNP A34005 2755 75 of of IN A34005 2755 76 the the DT A34005 2755 77 Altitude altitude NN A34005 2755 78 fell fall VBD A34005 2755 79 short short RB A34005 2755 80 or or CC A34005 2755 81 beyond beyond IN A34005 2755 82 the the DT A34005 2755 83 sine sine JJ A34005 2755 84 point point NN A34005 2755 85 . . . A34005 2756 1 Example example NN A34005 2756 2 . . . A34005 2757 1 In in IN A34005 2757 2 the the DT A34005 2757 3 latitude latitude NN A34005 2757 4 of of IN A34005 2757 5 39 39 CD A34005 2757 6 d. d. NN A34005 2757 7 the the DT A34005 2757 8 Sun Sun NNP A34005 2757 9 having have VBG A34005 2757 10 23d 23d NNS A34005 2757 11 . . . A34005 2758 1 31′ 31′ CD A34005 2758 2 of of IN A34005 2758 3 North North NNP A34005 2758 4 Declination Declination NNP A34005 2758 5 , , , A34005 2758 6 and and CC A34005 2758 7 Altitude altitude NN A34005 2758 8 51 51 CD A34005 2758 9 deg deg NN A34005 2758 10 . . . A34005 2759 1 32′ 32′ LS A34005 2759 2 the the DT A34005 2759 3 houre houre NN A34005 2759 4 will will MD A34005 2759 5 be be VB A34005 2759 6 found find VBN A34005 2759 7 to to TO A34005 2759 8 be be VB A34005 2759 9 33 33 CD A34005 2759 10 deg deg NN A34005 2759 11 . . . A34005 2760 1 45′ 45′ CD A34005 2760 2 from from IN A34005 2760 3 six six CD A34005 2760 4 towards towards IN A34005 2760 5 noon noon NN A34005 2760 6 . . . A34005 2761 1 Note note VB A34005 2761 2 the the DT A34005 2761 3 point point NN A34005 2761 4 of of IN A34005 2761 5 entrance entrance NN A34005 2761 6 and and CC A34005 2761 7 sine sine NN A34005 2761 8 point point NN A34005 2761 9 Vary Vary NNP A34005 2761 10 not not RB A34005 2761 11 , , , A34005 2761 12 till till IN A34005 2761 13 the the DT A34005 2761 14 Declination Declination NNP A34005 2761 15 Vary Vary NNP A34005 2761 16 . . . A34005 2762 1 After after IN A34005 2762 2 the the DT A34005 2762 3 same same JJ A34005 2762 4 manner manner NN A34005 2762 5 may may MD A34005 2762 6 the the DT A34005 2762 7 Azimuth Azimuth NNP A34005 2762 8 be be VB A34005 2762 9 found find VBN A34005 2762 10 in in IN A34005 2762 11 the the DT A34005 2762 12 limb limb NN A34005 2762 13 , , , A34005 2762 14 by by IN A34005 2762 15 proportions proportion NNS A34005 2762 16 delivered deliver VBN A34005 2762 17 in in IN A34005 2762 18 the the DT A34005 2762 19 other other JJ A34005 2762 20 great great JJ A34005 2762 21 quadrant quadrant NN A34005 2762 22 . . . A34005 2763 1 Also also RB A34005 2763 2 both both DT A34005 2763 3 or or CC A34005 2763 4 any any DT A34005 2763 5 angle angle NN A34005 2763 6 when when WRB A34005 2763 7 three three CD A34005 2763 8 sides side NNS A34005 2763 9 are be VBP A34005 2763 10 given give VBN A34005 2763 11 may may MD A34005 2763 12 be be VB A34005 2763 13 found find VBN A34005 2763 14 by by IN A34005 2763 15 the the DT A34005 2763 16 last last JJ A34005 2763 17 general general JJ A34005 2763 18 Proportion proportion NN A34005 2763 19 in in IN A34005 2763 20 the the DT A34005 2763 21 small small JJ A34005 2763 22 quadrant quadrant NN A34005 2763 23 which which WDT A34005 2763 24 finds find VBZ A34005 2763 25 the the DT A34005 2763 26 halfe halfe NN A34005 2763 27 Versed versed JJ A34005 2763 28 sine sine NN A34005 2763 29 of of IN A34005 2763 30 the the DT A34005 2763 31 Arke Arke NNP A34005 2763 32 fought fought NN A34005 2763 33 , , , A34005 2763 34 which which WDT A34005 2763 35 would would MD A34005 2763 36 be be VB A34005 2763 37 too too RB A34005 2763 38 tedious tedious JJ A34005 2763 39 to to TO A34005 2763 40 insist insist VB A34005 2763 41 upon upon IN A34005 2763 42 & & CC A34005 2763 43 are be VBP A34005 2763 44 more more RBR A34005 2763 45 proper proper JJ A34005 2763 46 to to TO A34005 2763 47 be be VB A34005 2763 48 Protracted protract VBN A34005 2763 49 with with IN A34005 2763 50 a a DT A34005 2763 51 line line NN A34005 2763 52 of of IN A34005 2763 53 Chords Chords NNPS A34005 2763 54 . . . A34005 2764 1 To to TO A34005 2764 2 find find VB A34005 2764 3 the the DT A34005 2764 4 Azimuth Azimuth NNP A34005 2764 5 universally universally RB A34005 2764 6 . . . A34005 2765 1 THe the DT A34005 2765 2 Proportion Proportion NNP A34005 2765 3 used use VBD A34005 2765 4 on on IN A34005 2765 5 the the DT A34005 2765 6 smal smal JJ A34005 2765 7 quadrant quadrant NN A34005 2765 8 for for IN A34005 2765 9 finding find VBG A34005 2765 10 it -PRON- PRP A34005 2765 11 in in IN A34005 2765 12 the the DT A34005 2765 13 equal equal JJ A34005 2765 14 limbe limbe NN A34005 2765 15 ( ( -LRB- A34005 2765 16 wherein wherein WRB A34005 2765 17 the the DT A34005 2765 18 first first JJ A34005 2765 19 Operation Operation NNP A34005 2765 20 for for IN A34005 2765 21 the the DT A34005 2765 22 Vertical Vertical NNP A34005 2765 23 Altitude Altitude NNP A34005 2765 24 was be VBD A34005 2765 25 fixed fix VBN A34005 2765 26 for for IN A34005 2765 27 one one CD A34005 2765 28 day day NN A34005 2765 29 , , , A34005 2765 30 ) ) -RRB- A34005 2765 31 by by IN A34005 2765 32 reason reason NN A34005 2765 33 of of IN A34005 2765 34 its -PRON- PRP$ A34005 2765 35 Excursions excursion NNS A34005 2765 36 will will MD A34005 2765 37 not not RB A34005 2765 38 serve serve VB A34005 2765 39 on on IN A34005 2765 40 a a DT A34005 2765 41 quadrant quadrant NN A34005 2765 42 , , , A34005 2765 43 for for IN A34005 2765 44 the the DT A34005 2765 45 Sun Sun NNP A34005 2765 46 or or CC A34005 2765 47 Stars Stars NNP A34005 2765 48 when when WRB A34005 2765 49 they -PRON- PRP A34005 2765 50 come come VBP A34005 2765 51 to to IN A34005 2765 52 the the DT A34005 2765 53 Meridian Meridian NNP A34005 2765 54 between between IN A34005 2765 55 the the DT A34005 2765 56 Zenith Zenith NNP A34005 2765 57 and and CC A34005 2765 58 the the DT A34005 2765 59 elevated elevated JJ A34005 2765 60 Pole Pole NNP A34005 2765 61 , , , A34005 2765 62 but but CC A34005 2765 63 the the DT A34005 2765 64 Proportion Proportion NNP A34005 2765 65 there there RB A34005 2765 66 used use VBD A34005 2765 67 for for IN A34005 2765 68 finding find VBG A34005 2765 69 the the DT A34005 2765 70 houre houre NN A34005 2765 71 applyed apply VBN A34005 2765 72 to to IN A34005 2765 73 other other JJ A34005 2765 74 sides side NNS A34005 2765 75 will will MD A34005 2765 76 serve serve VB A34005 2765 77 for for IN A34005 2765 78 the the DT A34005 2765 79 Azimuth Azimuth NNP A34005 2765 80 Universally Universally NNP A34005 2765 81 , , , A34005 2765 82 and and CC A34005 2765 83 that that DT A34005 2765 84 is be VBZ A34005 2765 85 As as IN A34005 2765 86 the the DT A34005 2765 87 Radius Radius NNP A34005 2765 88 , , , A34005 2765 89 Is be VBZ A34005 2765 90 to to IN A34005 2765 91 the the DT A34005 2765 92 sine sine NN A34005 2765 93 of of IN A34005 2765 94 the the DT A34005 2765 95 Latitude Latitude NNP A34005 2765 96 , , , A34005 2765 97 So so RB A34005 2765 98 is be VBZ A34005 2765 99 the the DT A34005 2765 100 sine sine NN A34005 2765 101 of of IN A34005 2765 102 the the DT A34005 2765 103 Altitude Altitude NNP A34005 2765 104 , , , A34005 2765 105 To to IN A34005 2765 106 a a DT A34005 2765 107 fourth fourth JJ A34005 2765 108 sine sine NN A34005 2765 109 . . . A34005 2766 1 Again again RB A34005 2766 2 . . . A34005 2767 1 As as IN A34005 2767 2 the the DT A34005 2767 3 Cosine Cosine NNP A34005 2767 4 of of IN A34005 2767 5 the the DT A34005 2767 6 Altitude altitude NN A34005 2767 7 , , , A34005 2767 8 Is be VBZ A34005 2767 9 the the DT A34005 2767 10 Secant secant NN A34005 2767 11 of of IN A34005 2767 12 the the DT A34005 2767 13 Latitude Latitude NNP A34005 2767 14 . . . A34005 2768 1 Or or CC A34005 2768 2 , , , A34005 2768 3 As as IN A34005 2768 4 the the DT A34005 2768 5 Cosine Cosine NNP A34005 2768 6 of of IN A34005 2768 7 the the DT A34005 2768 8 Latitude Latitude NNP A34005 2768 9 , , , A34005 2768 10 Is be VBZ A34005 2768 11 the the DT A34005 2768 12 Secant secant NN A34005 2768 13 of of IN A34005 2768 14 the the DT A34005 2768 15 Altitude altitude NN A34005 2768 16 . . . A34005 2769 1 So so RB A34005 2769 2 In in IN A34005 2769 3 Declinations declination NNS A34005 2769 4 towards towards IN A34005 2769 5 the the DT A34005 2769 6 Elevated Elevated NNP A34005 2769 7 Pole Pole NNP A34005 2769 8 is be VBZ A34005 2769 9 the the DT A34005 2769 10 difference difference NN A34005 2769 11 , , , A34005 2769 12 but but CC A34005 2769 13 towards towards IN A34005 2769 14 the the DT A34005 2769 15 Depressed Depressed NNP A34005 2769 16 Pole Pole NNP A34005 2769 17 the the DT A34005 2769 18 summe summe NN A34005 2769 19 of of IN A34005 2769 20 the the DT A34005 2769 21 fourth fourth JJ A34005 2769 22 sine sine NN A34005 2769 23 , , , A34005 2769 24 and and CC A34005 2769 25 of of IN A34005 2769 26 the the DT A34005 2769 27 sine sine JJ A34005 2769 28 sine sine NN A34005 2769 29 of of IN A34005 2769 30 the the DT A34005 2769 31 Declination Declination NNP A34005 2769 32 . . . A34005 2770 1 To to IN A34005 2770 2 the the DT A34005 2770 3 sine sine NN A34005 2770 4 of of IN A34005 2770 5 the the DT A34005 2770 6 Azimuth Azimuth NNP A34005 2770 7 from from IN A34005 2770 8 the the DT A34005 2770 9 Vertical Vertical NNP A34005 2770 10 . . . A34005 2771 1 In in IN A34005 2771 2 Declinations declination NNS A34005 2771 3 towards towards IN A34005 2771 4 the the DT A34005 2771 5 Depressed Depressed NNP A34005 2771 6 Pole Pole NNP A34005 2771 7 , , , A34005 2771 8 the the DT A34005 2771 9 Azimuth Azimuth NNP A34005 2771 10 is be VBZ A34005 2771 11 alwayes alwayes NNP A34005 2771 12 obtuse obtuse NNP A34005 2771 13 , , , A34005 2771 14 towards towards IN A34005 2771 15 the the DT A34005 2771 16 elevated elevated JJ A34005 2771 17 Pole Pole NNP A34005 2771 18 if if IN A34005 2771 19 the the DT A34005 2771 20 Declination declination NN A34005 2771 21 be be VB A34005 2771 22 more more JJR A34005 2771 23 then then IN A34005 2771 24 the the DT A34005 2771 25 fourth fourth JJ A34005 2771 26 Arch Arch NNP A34005 2771 27 it -PRON- PRP A34005 2771 28 is be VBZ A34005 2771 29 acute acute JJ A34005 2771 30 , , , A34005 2771 31 if if IN A34005 2771 32 lesse lesse NNP A34005 2771 33 obtuse obtuse NNP A34005 2771 34 . . . A34005 2772 1 Example example NN A34005 2772 2 for for IN A34005 2772 3 the the DT A34005 2772 4 Latitude Latitude NNP A34005 2772 5 of of IN A34005 2772 6 the the DT A34005 2772 7 Barbados Barbados NNP A34005 2772 8 13 13 CD A34005 2772 9 deg deg NN A34005 2772 10 . . . A34005 2773 1 Altitude altitude NN A34005 2773 2 27 27 CD A34005 2773 3 deg deg NN A34005 2773 4 . . . A34005 2774 1 27′ 27′ CD A34005 2774 2 . . . A34005 2775 1 Declination declination NN A34005 2775 2 20 20 CD A34005 2775 3 deg deg NN A34005 2775 4 . . . A34005 2776 1 North North NNP A34005 2776 2 . . . A34005 2777 1 Lay lay VB A34005 2777 2 the the DT A34005 2777 3 thread thread NN A34005 2777 4 to to IN A34005 2777 5 27 27 CD A34005 2777 6 deg deg NN A34005 2777 7 . . . A34005 2778 1 27′ 27′ CD A34005 2778 2 in in IN A34005 2778 3 the the DT A34005 2778 4 Limbe Limbe NNP A34005 2778 5 , , , A34005 2778 6 and and CC A34005 2778 7 from from IN A34005 2778 8 the the DT A34005 2778 9 sine sine NN A34005 2778 10 of of IN A34005 2778 11 13 13 CD A34005 2778 12 deg deg NN A34005 2778 13 . . . A34005 2779 1 tahe tahe NNP A34005 2779 2 nearest nearest NNP A34005 2779 3 distance distance NN A34005 2779 4 to to IN A34005 2779 5 it -PRON- PRP A34005 2779 6 which which WDT A34005 2779 7 enter enter VBP A34005 2779 8 on on IN A34005 2779 9 the the DT A34005 2779 10 line line NN A34005 2779 11 of of IN A34005 2779 12 Sines Sines NNPS A34005 2779 13 from from IN A34005 2779 14 the the DT A34005 2779 15 Center Center NNP A34005 2779 16 , , , A34005 2779 17 and and CC A34005 2779 18 take take VB A34005 2779 19 the the DT A34005 2779 20 distance distance NN A34005 2779 21 between between IN A34005 2779 22 the the DT A34005 2779 23 limited limited JJ A34005 2779 24 point point NN A34005 2779 25 , , , A34005 2779 26 and and CC A34005 2779 27 the the DT A34005 2779 28 sine sine NN A34005 2779 29 of of IN A34005 2779 30 20 20 CD A34005 2779 31 deg deg NN A34005 2779 32 . . . A34005 2780 1 the the DT A34005 2780 2 Declination Declination NNP A34005 2780 3 , , , A34005 2780 4 this this DT A34005 2780 5 latter latter JJ A34005 2780 6 extent extent NN A34005 2780 7 enter enter VBP A34005 2780 8 twice twice RB A34005 2780 9 downe downe VB A34005 2780 10 the the DT A34005 2780 11 line line NN A34005 2780 12 of of IN A34005 2780 13 the the DT A34005 2780 14 Sines Sines NNPS A34005 2780 15 from from IN A34005 2780 16 the the DT A34005 2780 17 Center Center NNP A34005 2780 18 , , , A34005 2780 19 and and CC A34005 2780 20 take take VB A34005 2780 21 the the DT A34005 2780 22 nearest near JJS A34005 2780 23 distance distance NN A34005 2780 24 to to IN A34005 2780 25 the the DT A34005 2780 26 thread thread NN A34005 2780 27 laid lay VBN A34005 2780 28 over over IN A34005 2780 29 the the DT A34005 2780 30 Secant Secant NNP A34005 2780 31 of of IN A34005 2780 32 27 27 CD A34005 2780 33 deg deg NN A34005 2780 34 . . . A34005 2781 1 27′ 27′ LS A34005 2781 2 this this DT A34005 2781 3 extent extent NN A34005 2781 4 enter enter VBP A34005 2781 5 at at IN A34005 2781 6 the the DT A34005 2781 7 sine sine NN A34005 2781 8 of of IN A34005 2781 9 77 77 CD A34005 2781 10 deg deg NNP A34005 2781 11 . . . A34005 2782 1 the the DT A34005 2782 2 Complement Complement NNP A34005 2782 3 of of IN A34005 2782 4 the the DT A34005 2782 5 Latitude Latitude NNP A34005 2782 6 , , , A34005 2782 7 and and CC A34005 2782 8 laying lay VBG A34005 2782 9 the the DT A34005 2782 10 thread thread NN A34005 2782 11 to to IN A34005 2782 12 the the DT A34005 2782 13 other other JJ A34005 2782 14 foot foot NN A34005 2782 15 it -PRON- PRP A34005 2782 16 will will MD A34005 2782 17 lye lye VB A34005 2782 18 over over RP A34005 2782 19 16 16 CD A34005 2782 20 deg deg NN A34005 2782 21 . . . A34005 2783 1 in in IN A34005 2783 2 the the DT A34005 2783 3 equal equal JJ A34005 2783 4 Limbe Limbe NNP A34005 2783 5 , , , A34005 2783 6 the the DT A34005 2783 7 Suns Suns NNPS A34005 2783 8 Azimuth Azimuth NNP A34005 2783 9 to to IN A34005 2783 10 the the DT A34005 2783 11 Northwards Northwards NNPS A34005 2783 12 of of IN A34005 2783 13 the the DT A34005 2783 14 East East NNP A34005 2783 15 or or CC A34005 2783 16 West West NNP A34005 2783 17 . . . A34005 2784 1 Otherwaies otherwaie NNS A34005 2784 2 . . . A34005 2785 1 Another another DT A34005 2785 2 Example example NN A34005 2785 3 for for IN A34005 2785 4 the the DT A34005 2785 5 same same JJ A34005 2785 6 Latitude Latitude NNP A34005 2785 7 and and CC A34005 2785 8 Declination Declination NNP A34005 2785 9 , , , A34005 2785 10 the the DT A34005 2785 11 Altitude Altitude NNP A34005 2785 12 being be VBG A34005 2785 13 52 52 CD A34005 2785 14 deg deg NN A34005 2785 15 . . . A34005 2786 1 27′ 27′ CD A34005 2786 2 lay lie VBD A34005 2786 3 the the DT A34005 2786 4 thread thread NN A34005 2786 5 to to IN A34005 2786 6 it -PRON- PRP A34005 2786 7 in in IN A34005 2786 8 the the DT A34005 2786 9 Limbe Limbe NNP A34005 2786 10 , , , A34005 2786 11 and and CC A34005 2786 12 take take VB A34005 2786 13 the the DT A34005 2786 14 nearest near JJS A34005 2786 15 distance distance NN A34005 2786 16 to to IN A34005 2786 17 it -PRON- PRP A34005 2786 18 from from IN A34005 2786 19 the the DT A34005 2786 20 sine sine NN A34005 2786 21 of of IN A34005 2786 22 13 13 CD A34005 2786 23 deg deg NN A34005 2786 24 . . . A34005 2787 1 as as IN A34005 2787 2 before before RB A34005 2787 3 , , , A34005 2787 4 and and CC A34005 2787 5 enter enter VBP A34005 2787 6 it -PRON- PRP A34005 2787 7 downe downe VB A34005 2787 8 the the DT A34005 2787 9 line line NN A34005 2787 10 of of IN A34005 2787 11 sines sine NNS A34005 2787 12 from from IN A34005 2787 13 the the DT A34005 2787 14 Center Center NNP A34005 2787 15 , , , A34005 2787 16 and and CC A34005 2787 17 from from IN A34005 2787 18 the the DT A34005 2787 19 point point NN A34005 2787 20 of of IN A34005 2787 21 the the DT A34005 2787 22 limitation limitation NN A34005 2787 23 take take VBP A34005 2787 24 the the DT A34005 2787 25 distance distance NN A34005 2787 26 to to IN A34005 2787 27 the the DT A34005 2787 28 sine sine NN A34005 2787 29 of of IN A34005 2787 30 20 20 CD A34005 2787 31 deg deg NN A34005 2787 32 . . . A34005 2788 1 the the DT A34005 2788 2 Suns Suns NNPS A34005 2788 3 Declination Declination NNP A34005 2788 4 , , , A34005 2788 5 this this DT A34005 2788 6 latter latter JJ A34005 2788 7 extent extent NN A34005 2788 8 enter enter VBP A34005 2788 9 once once RB A34005 2788 10 downe downe NNP A34005 2788 11 the the DT A34005 2788 12 line line NN A34005 2788 13 of of IN A34005 2788 14 sines sine NNS A34005 2788 15 from from IN A34005 2788 16 the the DT A34005 2788 17 Center Center NNP A34005 2788 18 , , , A34005 2788 19 and and CC A34005 2788 20 take take VB A34005 2788 21 the the DT A34005 2788 22 nearest near JJS A34005 2788 23 distance distance NN A34005 2788 24 to to IN A34005 2788 25 the the DT A34005 2788 26 Thread thread NN A34005 2788 27 laid lay VBN A34005 2788 28 over over IN A34005 2788 29 the the DT A34005 2788 30 Secant Secant NNP A34005 2788 31 of of IN A34005 2788 32 the the DT A34005 2788 33 Altitude altitude NN A34005 2788 34 52 52 CD A34005 2788 35 deg deg NN A34005 2788 36 . . . A34005 2789 1 27′ 27′ CD A34005 2789 2 then then RB A34005 2789 3 lay lie VBD A34005 2789 4 the the DT A34005 2789 5 thread thread NN A34005 2789 6 to to IN A34005 2789 7 77 77 CD A34005 2789 8 deg deg NN A34005 2789 9 . . . A34005 2790 1 the the DT A34005 2790 2 Complement Complement NNP A34005 2790 3 of of IN A34005 2790 4 the the DT A34005 2790 5 Latitude Latitude NNP A34005 2790 6 in in IN A34005 2790 7 the the DT A34005 2790 8 lesser less JJR A34005 2790 9 sines sine NNS A34005 2790 10 , , , A34005 2790 11 and and CC A34005 2790 12 enter enter VB A34005 2790 13 the the DT A34005 2790 14 former former JJ A34005 2790 15 extent extent NN A34005 2790 16 between between IN A34005 2790 17 the the DT A34005 2790 18 Scale Scale NNP A34005 2790 19 and and CC A34005 2790 20 the the DT A34005 2790 21 thread thread NN A34005 2790 22 , , , A34005 2790 23 and and CC A34005 2790 24 the the DT A34005 2790 25 foot foot NN A34005 2790 26 of of IN A34005 2790 27 the the DT A34005 2790 28 Compasses Compasses NNPS A34005 2790 29 sheweth sheweth NN A34005 2790 30 16 16 CD A34005 2790 31 deg deg NN A34005 2790 32 . . . A34005 2791 1 as as IN A34005 2791 2 before before RB A34005 2791 3 , , , A34005 2791 4 for for IN A34005 2791 5 the the DT A34005 2791 6 Suns Suns NNPS A34005 2791 7 Azimuth Azimuth NNP A34005 2791 8 to to IN A34005 2791 9 the the DT A34005 2791 10 Northward Northward NNP A34005 2791 11 of of IN A34005 2791 12 the the DT A34005 2791 13 Vertical Vertical NNP A34005 2791 14 , , , A34005 2791 15 that that IN A34005 2791 16 the the DT A34005 2791 17 Sun Sun NNP A34005 2791 18 may may MD A34005 2791 19 have have VB A34005 2791 20 the the DT A34005 2791 21 same same JJ A34005 2791 22 Azimuth Azimuth NNP A34005 2791 23 , , , A34005 2791 24 upon upon IN A34005 2791 25 two two CD A34005 2791 26 several several JJ A34005 2791 27 Altitudes altitude NNS A34005 2791 28 hath hath NN A34005 2791 29 been be VBN A34005 2791 30 spoken speak VBN A34005 2791 31 to to IN A34005 2791 32 before before RB A34005 2791 33 , , , A34005 2791 34 and and CC A34005 2791 35 how how WRB A34005 2791 36 to to TO A34005 2791 37 do do VB A34005 2791 38 this this DT A34005 2791 39 without without IN A34005 2791 40 Secants Secants NNP A34005 2791 41 hath hath NNP A34005 2791 42 been be VBN A34005 2791 43 shewne shewne NN A34005 2791 44 . . . A34005 2792 1 Two two CD A34005 2792 2 sides side NNS A34005 2792 3 with with IN A34005 2792 4 the the DT A34005 2792 5 Angle Angle NNP A34005 2792 6 comprehended comprehend VBD A34005 2792 7 to to TO A34005 2792 8 find find VB A34005 2792 9 the the DT A34005 2792 10 third third JJ A34005 2792 11 side side NN A34005 2792 12 . . . A34005 2793 1 DIvers diver NNS A34005 2793 2 wayes waye NNS A34005 2793 3 have have VBP A34005 2793 4 been be VBN A34005 2793 5 shewed shew VBN A34005 2793 6 for for IN A34005 2793 7 doing do VBG A34005 2793 8 of of IN A34005 2793 9 this this DT A34005 2793 10 before before RB A34005 2793 11 , , , A34005 2793 12 I -PRON- PRP A34005 2793 13 shall shall MD A34005 2793 14 adde adde VB A34005 2793 15 one one CD A34005 2793 16 more more JJR A34005 2793 17 requiring require VBG A34005 2793 18 no no DT A34005 2793 19 Versed versed JJ A34005 2793 20 sines sine NNS A34005 2793 21 nor nor CC A34005 2793 22 Tangents Tangents NNP A34005 2793 23 . . . A34005 2794 1 1 1 LS A34005 2794 2 If if IN A34005 2794 3 both both DT A34005 2794 4 the the DT A34005 2794 5 sides side NNS A34005 2794 6 be be VB A34005 2794 7 lesser less JJR A34005 2794 8 then then RB A34005 2794 9 quadrants quadrant NNS A34005 2794 10 , , , A34005 2794 11 and and CC A34005 2794 12 the the DT A34005 2794 13 Angle Angle NNP A34005 2794 14 at at IN A34005 2794 15 liberty liberty NN A34005 2794 16 . . . A34005 2795 1 Or or CC A34005 2795 2 , , , A34005 2795 3 2 2 CD A34005 2795 4 If if IN A34005 2795 5 one one CD A34005 2795 6 of of IN A34005 2795 7 the the DT A34005 2795 8 sides side NNS A34005 2795 9 be be VB A34005 2795 10 greater great JJR A34005 2795 11 then then RB A34005 2795 12 a a DT A34005 2795 13 quadrant quadrant NN A34005 2795 14 , , , A34005 2795 15 and and CC A34005 2795 16 the the DT A34005 2795 17 Angle Angle NNP A34005 2795 18 included include VBN A34005 2795 19 acute acute JJ A34005 2795 20 , , , A34005 2795 21 it -PRON- PRP A34005 2795 22 will will MD A34005 2795 23 hold hold VB A34005 2795 24 . . . A34005 2796 1 As as IN A34005 2796 2 the the DT A34005 2796 3 Radius Radius NNP A34005 2796 4 , , , A34005 2796 5 To to IN A34005 2796 6 the the DT A34005 2796 7 Cosine Cosine NNP A34005 2796 8 of of IN A34005 2796 9 one one CD A34005 2796 10 of of IN A34005 2796 11 the the DT A34005 2796 12 including include VBG A34005 2796 13 sines sine NNS A34005 2796 14 . . . A34005 2797 1 So so RB A34005 2797 2 is be VBZ A34005 2797 3 the the DT A34005 2797 4 Cosine Cosine NNP A34005 2797 5 of of IN A34005 2797 6 the the DT A34005 2797 7 other other JJ A34005 2797 8 , , , A34005 2797 9 To to IN A34005 2797 10 a a DT A34005 2797 11 fourth fourth JJ A34005 2797 12 sine sine NN A34005 2797 13 . . . A34005 2798 1 Again again RB A34005 2798 2 . . . A34005 2799 1 As as IN A34005 2799 2 the the DT A34005 2799 3 Cosecant Cosecant NNP A34005 2799 4 of of IN A34005 2799 5 one one CD A34005 2799 6 of of IN A34005 2799 7 the the DT A34005 2799 8 including include VBG A34005 2799 9 Sides Sides NNPS A34005 2799 10 ● ● NFP A34005 2799 11 is be VBZ A34005 2799 12 the the DT A34005 2799 13 Sine Sine NNP A34005 2799 14 of of IN A34005 2799 15 the the DT A34005 2799 16 other other JJ A34005 2799 17 , , , A34005 2799 18 So so RB A34005 2799 19 is be VBZ A34005 2799 20 the the DT A34005 2799 21 Cosine Cosine NNP A34005 2799 22 of of IN A34005 2799 23 the the DT A34005 2799 24 angle angle NN A34005 2799 25 included include VBN A34005 2799 26 , , , A34005 2799 27 To to IN A34005 2799 28 a a DT A34005 2799 29 seventh seventh JJ A34005 2799 30 Sine Sine NNP A34005 2799 31 . . . A34005 2800 1 The the DT A34005 2800 2 difference difference NN A34005 2800 3 between between IN A34005 2800 4 the the DT A34005 2800 5 fourth fourth JJ A34005 2800 6 and and CC A34005 2800 7 the the DT A34005 2800 8 seventh seventh JJ A34005 2800 9 Sine Sine NNP A34005 2800 10 , , , A34005 2800 11 is be VBZ A34005 2800 12 the the DT A34005 2800 13 Cosine Cosine NNP A34005 2800 14 of of IN A34005 2800 15 the the DT A34005 2800 16 Side side NN A34005 2800 17 sought seek VBD A34005 2800 18 . . . A34005 2801 1 1 1 LS A34005 2801 2 In in IN A34005 2801 3 the the DT A34005 2801 4 first first JJ A34005 2801 5 case case NN A34005 2801 6 if if IN A34005 2801 7 the the DT A34005 2801 8 angle angle NN A34005 2801 9 given give VBN A34005 2801 10 be be VBP A34005 2801 11 obtuse obtuse JJ A34005 2801 12 , , , A34005 2801 13 and and CC A34005 2801 14 the the DT A34005 2801 15 seventh seventh JJ A34005 2801 16 Sine Sine NNP A34005 2801 17 greater great JJR A34005 2801 18 then then RB A34005 2801 19 the the DT A34005 2801 20 fourth fourth JJ A34005 2801 21 Sine Sine NNP A34005 2801 22 , , , A34005 2801 23 the the DT A34005 2801 24 Side side NN A34005 2801 25 sought seek VBD A34005 2801 26 is be VBZ A34005 2801 27 greater great JJR A34005 2801 28 then then RB A34005 2801 29 a a DT A34005 2801 30 quadrant quadrant NN A34005 2801 31 in in IN A34005 2801 32 other other JJ A34005 2801 33 cases case NNS A34005 2801 34 lesse lesse RB A34005 2801 35 . . . A34005 2802 1 If if IN A34005 2802 2 in in IN A34005 2802 3 the the DT A34005 2802 4 second second JJ A34005 2802 5 case case NN A34005 2802 6 the the DT A34005 2802 7 seventh seventh JJ A34005 2802 8 Sine Sine NNP A34005 2802 9 be be VB A34005 2802 10 lesse lesse JJ A34005 2802 11 then then RB A34005 2802 12 the the DT A34005 2802 13 fourth fourth JJ A34005 2802 14 , , , A34005 2802 15 the the DT A34005 2802 16 side side NN A34005 2802 17 sought seek VBD A34005 2802 18 is be VBZ A34005 2802 19 greater great JJR A34005 2802 20 then then RB A34005 2802 21 a a DT A34005 2802 22 quadrant quadrant NN A34005 2802 23 in in IN A34005 2802 24 other other JJ A34005 2802 25 cases case NNS A34005 2802 26 lesse lesse RB A34005 2802 27 . . . A34005 2803 1 In in IN A34005 2803 2 this this DT A34005 2803 3 second second JJ A34005 2803 4 case case NN A34005 2803 5 when when WRB A34005 2803 6 one one CD A34005 2803 7 of of IN A34005 2803 8 the the DT A34005 2803 9 includers includer NNS A34005 2803 10 is be VBZ A34005 2803 11 greater great JJR A34005 2803 12 then then RB A34005 2803 13 a a DT A34005 2803 14 quadrant quadrant NN A34005 2803 15 , , , A34005 2803 16 and and CC A34005 2803 17 the the DT A34005 2803 18 angle angle NN A34005 2803 19 obtuse obtuse NN A34005 2803 20 resolve resolve VBP A34005 2803 21 the the DT A34005 2803 22 opposite opposite JJ A34005 2803 23 Triangle Triangle NNP A34005 2803 24 by by IN A34005 2803 25 the the DT A34005 2803 26 former former JJ A34005 2803 27 Rules Rules NNPS A34005 2803 28 , , , A34005 2803 29 or or CC A34005 2803 30 the the DT A34005 2803 31 summe summe NN A34005 2803 32 of of IN A34005 2803 33 the the DT A34005 2803 34 fourth fourth JJ A34005 2803 35 and and CC A34005 2803 36 seventh seventh JJ A34005 2803 37 Sine Sine NNP A34005 2803 38 shall shall MD A34005 2803 39 be be VB A34005 2803 40 the the DT A34005 2803 41 Cosine Cosine NNP A34005 2803 42 of of IN A34005 2803 43 the the DT A34005 2803 44 side side NN A34005 2803 45 sought seek VBN A34005 2803 46 in in IN A34005 2803 47 this this DT A34005 2803 48 case case NN A34005 2803 49 greater great JJR A34005 2803 50 then then RB A34005 2803 51 a a DT A34005 2803 52 quadrant quadrant NN A34005 2803 53 . . . A34005 2804 1 We -PRON- PRP A34005 2804 2 have have VBP A34005 2804 3 before before RB A34005 2804 4 noted note VBN A34005 2804 5 that that IN A34005 2804 6 the the DT A34005 2804 7 Cosine Cosine NNP A34005 2804 8 of of IN A34005 2804 9 an an DT A34005 2804 10 Arke Arke NNS A34005 2804 11 greater great JJR A34005 2804 12 then then RB A34005 2804 13 a a DT A34005 2804 14 quadrant quadrant NN A34005 2804 15 is be VBZ A34005 2804 16 the the DT A34005 2804 17 Sine Sine NNP A34005 2804 18 of of IN A34005 2804 19 that that DT A34005 2804 20 Arkes Arkes NNP A34005 2804 21 excesse excesse NN A34005 2804 22 above above IN A34005 2804 23 90 90 CD A34005 2804 24 deg deg NN A34005 2804 25 . . . A34005 2805 1 this this DT A34005 2805 2 no no DT A34005 2805 3 other other JJ A34005 2805 4 then then RB A34005 2805 5 the the DT A34005 2805 6 converse converse NN A34005 2805 7 of of IN A34005 2805 8 the the DT A34005 2805 9 Proportion Proportion NNP A34005 2805 10 for for IN A34005 2805 11 the the DT A34005 2805 12 houre houre NN A34005 2805 13 demonstrated demonstrate VBD A34005 2805 14 from from IN A34005 2805 15 the the DT A34005 2805 16 Analemma Analemma NNP A34005 2805 17 , , , A34005 2805 18 in in IN A34005 2805 19 the the DT A34005 2805 20 Triangle Triangle NNP A34005 2805 21 O O NNP A34005 2805 22 Z Z NNP A34005 2805 23 P. p. NN A34005 2805 24 Let let VB A34005 2805 25 there there EX A34005 2805 26 be be VB A34005 2805 27 given give VBN A34005 2805 28 the the DT A34005 2805 29 Sides side NNS A34005 2805 30 O O NNP A34005 2805 31 P p NN A34005 2805 32 113 113 CD A34005 2805 33 deg deg NN A34005 2805 34 . . . A34005 2806 1 31′ 31′ LS A34005 2806 2 the the DT A34005 2806 3 side side NN A34005 2806 4 Z Z NNP A34005 2806 5 P P NNP A34005 2806 6 38 38 CD A34005 2806 7 deg deg NN A34005 2806 8 . . . A34005 2807 1 28′ 28′ CD A34005 2807 2 and and CC A34005 2807 3 the the DT A34005 2807 4 angle angle NN A34005 2807 5 comprehended comprehend VBD A34005 2807 6 Z z NN A34005 2807 7 P p NN A34005 2807 8 O o NN A34005 2807 9 75 75 CD A34005 2807 10 to to TO A34005 2807 11 find find VB A34005 2807 12 the the DT A34005 2807 13 Side side NN A34005 2807 14 O o UH A34005 2807 15 Z. z. NN A34005 2808 1 Operation operation NN A34005 2808 2 . . . A34005 2809 1 Lay lay VB A34005 2809 2 the the DT A34005 2809 3 thread thread NN A34005 2809 4 to to IN A34005 2809 5 51 51 CD A34005 2809 6 deg deg NN A34005 2809 7 . . . A34005 2810 1 32′ 32′ CD A34005 2810 2 in in IN A34005 2810 3 the the DT A34005 2810 4 Limbe Limbe NNP A34005 2810 5 , , , A34005 2810 6 and and CC A34005 2810 7 from from IN A34005 2810 8 13 13 CD A34005 2810 9 deg deg NN A34005 2810 10 . . . A34005 2811 1 31′ 31′ CD A34005 2811 2 in in IN A34005 2811 3 the the DT A34005 2811 4 Sines Sines NNPS A34005 2811 5 take take VBP A34005 2811 6 the the DT A34005 2811 7 nearest near JJS A34005 2811 8 distance distance NN A34005 2811 9 to to IN A34005 2811 10 it -PRON- PRP A34005 2811 11 which which WDT A34005 2811 12 measured measure VBN A34005 2811 13 from from IN A34005 2811 14 the the DT A34005 2811 15 Center Center NNP A34005 2811 16 will will MD A34005 2811 17 reach reach VB A34005 2811 18 to to IN A34005 2811 19 the the DT A34005 2811 20 sine sine NN A34005 2811 21 of of IN A34005 2811 22 18 18 CD A34005 2811 23 deg deg NN A34005 2811 24 . . . A34005 2812 1 12 12 CD A34005 2812 2 minutes minute NNS A34005 2812 3 the the DT A34005 2812 4 fourth fourth JJ A34005 2812 5 Sine Sine NNP A34005 2812 6 . . . A34005 2813 1 Again again RB A34005 2813 2 , , , A34005 2813 3 laying lay VBG A34005 2813 4 the the DT A34005 2813 5 thread thread NN A34005 2813 6 to to IN A34005 2813 7 23 23 CD A34005 2813 8 deg deg NN A34005 2813 9 . . . A34005 2814 1 31′ 31′ CD A34005 2814 2 in in IN A34005 2814 3 the the DT A34005 2814 4 Limbe Limbe NNP A34005 2814 5 , , , A34005 2814 6 from from IN A34005 2814 7 the the DT A34005 2814 8 Sine Sine NNP A34005 2814 9 of of IN A34005 2814 10 15 15 CD A34005 2814 11 deg deg NN A34005 2814 12 . . . A34005 2815 1 take take VB A34005 2815 2 the the DT A34005 2815 3 nearest near JJS A34005 2815 4 distance distance NN A34005 2815 5 to to IN A34005 2815 6 it -PRON- PRP A34005 2815 7 , , , A34005 2815 8 then then RB A34005 2815 9 lay lay VB A34005 2815 10 the the DT A34005 2815 11 thread thread NN A34005 2815 12 to to IN A34005 2815 13 the the DT A34005 2815 14 Secant Secant NNP A34005 2815 15 of of IN A34005 2815 16 51 51 CD A34005 2815 17 deg deg NN A34005 2815 18 . . . A34005 2816 1 32′ 32′ CD A34005 2816 2 and and CC A34005 2816 3 enter enter VBP A34005 2816 4 the the DT A34005 2816 5 said say VBN A34005 2816 6 extent extent NN A34005 2816 7 between between IN A34005 2816 8 the the DT A34005 2816 9 Scale Scale NNP A34005 2816 10 and and CC A34005 2816 11 the the DT A34005 2816 12 thread thread NN A34005 2816 13 , , , A34005 2816 14 the the DT A34005 2816 15 distance distance NN A34005 2816 16 between between IN A34005 2816 17 the the DT A34005 2816 18 resting rest VBG A34005 2816 19 foot foot NN A34005 2816 20 , , , A34005 2816 21 and and CC A34005 2816 22 the the DT A34005 2816 23 Sine Sine NNP A34005 2816 24 of of IN A34005 2816 25 18 18 CD A34005 2816 26 deg deg NN A34005 2816 27 . . . A34005 2817 1 12 12 CD A34005 2817 2 minutes minute NNS A34005 2817 3 before before IN A34005 2817 4 found find VBD A34005 2817 5 measured measure VBN A34005 2817 6 from from IN A34005 2817 7 the the DT A34005 2817 8 Center Center NNP A34005 2817 9 is be VBZ A34005 2817 10 equal equal JJ A34005 2817 11 to to IN A34005 2817 12 the the DT A34005 2817 13 Sine Sine NNP A34005 2817 14 of of IN A34005 2817 15 9 9 CD A34005 2817 16 deg deg NN A34005 2817 17 . . . A34005 2818 1 32′ 32′ CD A34005 2818 2 being be VBG A34005 2818 3 the the DT A34005 2818 4 Cosine Cosine NNP A34005 2818 5 of of IN A34005 2818 6 the the DT A34005 2818 7 side side NN A34005 2818 8 sought seek VBD A34005 2818 9 which which WDT A34005 2818 10 in in IN A34005 2818 11 this this DT A34005 2818 12 instance instance NN A34005 2818 13 because because IN A34005 2818 14 the the DT A34005 2818 15 seventh seventh JJ A34005 2818 16 Sine Sine NNP A34005 2818 17 is be VBZ A34005 2818 18 lesse lesse NNP A34005 2818 19 then then RB A34005 2818 20 the the DT A34005 2818 21 fourth fourth JJ A34005 2818 22 sine sine NN A34005 2818 23 is be VBZ A34005 2818 24 greater great JJR A34005 2818 25 then then RB A34005 2818 26 a a DT A34005 2818 27 quadrant quadrant NN A34005 2818 28 , , , A34005 2818 29 and and CC A34005 2818 30 consequently consequently RB A34005 2818 31 must must MD A34005 2818 32 have have VB A34005 2818 33 90 90 CD A34005 2818 34 deg deg NN A34005 2818 35 . . . A34005 2819 1 added add VBN A34005 2819 2 thereto thereto NNP A34005 2819 3 , , , A34005 2819 4 therefore therefore RB A34005 2819 5 the the DT A34005 2819 6 side side NN A34005 2819 7 O o UH A34005 2819 8 Z z NN A34005 2819 9 is be VBZ A34005 2819 10 99 99 CD A34005 2819 11 deg deg NN A34005 2819 12 . . . A34005 2820 1 28 28 CD A34005 2820 2 minutes minute NNS A34005 2820 3 if if IN A34005 2820 4 the the DT A34005 2820 5 question question NN A34005 2820 6 had have VBD A34005 2820 7 been be VBN A34005 2820 8 put put VBN A34005 2820 9 in in IN A34005 2820 10 this this DT A34005 2820 11 Latitude Latitude NNP A34005 2820 12 what what WP A34005 2820 13 depression depression NN A34005 2820 14 the the DT A34005 2820 15 Sun Sun NNP A34005 2820 16 should should MD A34005 2820 17 have have VB A34005 2820 18 had have VBN A34005 2820 19 under under IN A34005 2820 20 the the DT A34005 2820 21 Horizon Horizon NNP A34005 2820 22 at at IN A34005 2820 23 the the DT A34005 2820 24 houres houre NNS A34005 2820 25 of of IN A34005 2820 26 5 5 CD A34005 2820 27 or or CC A34005 2820 28 7 7 CD A34005 2820 29 in in IN A34005 2820 30 the the DT A34005 2820 31 Winter Winter NNP A34005 2820 32 Tropick Tropick NNP A34005 2820 33 it -PRON- PRP A34005 2820 34 would would MD A34005 2820 35 have have VB A34005 2820 36 been be VBN A34005 2820 37 found find VBN A34005 2820 38 9 9 CD A34005 2820 39 deg deg NN A34005 2820 40 . . . A34005 2821 1 28′ 28′ CD A34005 2821 2 and and CC A34005 2821 3 this this DT A34005 2821 4 is be VBZ A34005 2821 5 such such PDT A34005 2821 6 a a DT A34005 2821 7 Triangle Triangle NNP A34005 2821 8 as as IN A34005 2821 9 hath hath NN A34005 2821 10 but but CC A34005 2821 11 one one CD A34005 2821 12 obtuse obtuse JJ A34005 2821 13 Angle Angle NNP A34005 2821 14 yet yet RB A34005 2821 15 two two CD A34005 2821 16 sides side NNS A34005 2821 17 greater great JJR A34005 2821 18 then then RB A34005 2821 19 quadrants quadrant VBZ A34005 2821 20 , , , A34005 2821 21 and and CC A34005 2821 22 how how WRB A34005 2821 23 to to TO A34005 2821 24 shunne shunne VB A34005 2821 25 a a DT A34005 2821 26 Secant secant NN A34005 2821 27 , , , A34005 2821 28 and and CC A34005 2821 29 a a DT A34005 2821 30 parallel parallel JJ A34005 2821 31 entrance entrance NN A34005 2821 32 hath hath NN A34005 2821 33 been be VBN A34005 2821 34 shewed shew VBN A34005 2821 35 els els NNP A34005 2821 36 - - : A34005 2821 37 where where WRB A34005 2821 38 . . . A34005 2822 1 Of of IN A34005 2822 2 the the DT A34005 2822 3 Stars star NNS A34005 2822 4 on on IN A34005 2822 5 the the DT A34005 2822 6 Projection Projection NNP A34005 2822 7 , , , A34005 2822 8 and and CC A34005 2822 9 in in IN A34005 2822 10 other other JJ A34005 2822 11 places place NNS A34005 2822 12 of of IN A34005 2822 13 the the DT A34005 2822 14 fore fore NN A34005 2822 15 - - HYPH A34005 2822 16 side side NN A34005 2822 17 of of IN A34005 2822 18 the the DT A34005 2822 19 quadrant quadrant NN A34005 2822 20 . . . A34005 2823 1 SUch SUch NNP A34005 2823 2 only only RB A34005 2823 3 are be VBP A34005 2823 4 placed place VBN A34005 2823 5 on on IN A34005 2823 6 the the DT A34005 2823 7 Projection Projection NNP A34005 2823 8 as as IN A34005 2823 9 fall fall NN A34005 2823 10 between between IN A34005 2823 11 the the DT A34005 2823 12 Tropicks tropick NNS A34005 2823 13 being be VBG A34005 2823 14 put put VBN A34005 2823 15 an an DT A34005 2823 16 according according NN A34005 2823 17 to to IN A34005 2823 18 their -PRON- PRP$ A34005 2823 19 true true JJ A34005 2823 20 Declinations declination NNS A34005 2823 21 , , , A34005 2823 22 and and CC A34005 2823 23 in in IN A34005 2823 24 that that DT A34005 2823 25 respect respect NN A34005 2823 26 might may MD A34005 2823 27 have have VB A34005 2823 28 stood stand VBN A34005 2823 29 any any DT A34005 2823 30 where where WRB A34005 2823 31 in in IN A34005 2823 32 the the DT A34005 2823 33 parallel parallel NN A34005 2823 34 of of IN A34005 2823 35 Declination declination NN A34005 2823 36 , , , A34005 2823 37 but but CC A34005 2823 38 in in IN A34005 2823 39 regard regard NN A34005 2823 40 we -PRON- PRP A34005 2823 41 shall shall MD A34005 2823 42 also also RB A34005 2823 43 find find VB A34005 2823 44 the the DT A34005 2823 45 time time NN A34005 2823 46 of of IN A34005 2823 47 the the DT A34005 2823 48 night night NN A34005 2823 49 by by IN A34005 2823 50 them -PRON- PRP A34005 2823 51 with with IN A34005 2823 52 Compasses compass NNS A34005 2823 53 , , , A34005 2823 54 they -PRON- PRP A34005 2823 55 are be VBP A34005 2823 56 also also RB A34005 2823 57 put put VBN A34005 2823 58 on on RP A34005 2823 59 in in IN A34005 2823 60 a a DT A34005 2823 61 certain certain JJ A34005 2823 62 Angle angle NN A34005 2823 63 from from IN A34005 2823 64 the the DT A34005 2823 65 right right JJ A34005 2823 66 edge edge NN A34005 2823 67 of of IN A34005 2823 68 the the DT A34005 2823 69 quadrant quadrant NN A34005 2823 70 , , , A34005 2823 71 to to TO A34005 2823 72 find find VB A34005 2823 73 the the DT A34005 2823 74 quantity quantity NN A34005 2823 75 of of IN A34005 2823 76 the the DT A34005 2823 77 Angle Angle NNP A34005 2823 78 for for IN A34005 2823 79 Stars Stars NNPS A34005 2823 80 of of IN A34005 2823 81 Northerly northerly JJ A34005 2823 82 declination declination NN A34005 2823 83 , , , A34005 2823 84 get get VB A34005 2823 85 the the DT A34005 2823 86 difference difference NN A34005 2823 87 of of IN A34005 2823 88 the the DT A34005 2823 89 Sines Sines NNPS A34005 2823 90 of of IN A34005 2823 91 the the DT A34005 2823 92 Stars Stars NNPS A34005 2823 93 Altitude Altitude NNP A34005 2823 94 six six CD A34005 2823 95 houres houre NNS A34005 2823 96 from from IN A34005 2823 97 the the DT A34005 2823 98 Meridian Meridian NNP A34005 2823 99 , , , A34005 2823 100 and and CC A34005 2823 101 of of IN A34005 2823 102 its -PRON- PRP$ A34005 2823 103 Meridian Meridian NNP A34005 2823 104 Altitude Altitude NNP A34005 2823 105 , , , A34005 2823 106 and and CC A34005 2823 107 find find VB A34005 2823 108 to to IN A34005 2823 109 the the DT A34005 2823 110 Sine Sine NNP A34005 2823 111 of of IN A34005 2823 112 what what WP A34005 2823 113 Arch Arch NNP A34005 2823 114 the the DT A34005 2823 115 said say VBN A34005 2823 116 difference difference NN A34005 2823 117 is be VBZ A34005 2823 118 equal equal JJ A34005 2823 119 , , , A34005 2823 120 against against IN A34005 2823 121 that that DT A34005 2823 122 Arch Arch NNP A34005 2823 123 in in IN A34005 2823 124 the the DT A34005 2823 125 Limbe Limbe NNP A34005 2823 126 , , , A34005 2823 127 let let VB A34005 2823 128 the the DT A34005 2823 129 Star Star NNP A34005 2823 130 be be VB A34005 2823 131 graduated graduate VBN A34005 2823 132 in in IN A34005 2823 133 its -PRON- PRP$ A34005 2823 134 proper proper JJ A34005 2823 135 declination declination NN A34005 2823 136 , , , A34005 2823 137 but but CC A34005 2823 138 for for IN A34005 2823 139 Stars star NNS A34005 2823 140 of of IN A34005 2823 141 Southwardly Southwardly NNP A34005 2823 142 Declination Declination NNP A34005 2823 143 , , , A34005 2823 144 get get VB A34005 2823 145 the the DT A34005 2823 146 summe summe NN A34005 2823 147 of of IN A34005 2823 148 the the DT A34005 2823 149 Sines Sines NNPS A34005 2823 150 of of IN A34005 2823 151 their -PRON- PRP$ A34005 2823 152 Depression Depression NNP A34005 2823 153 at at IN A34005 2823 154 six six CD A34005 2823 155 and and CC A34005 2823 156 of of IN A34005 2823 157 their -PRON- PRP$ A34005 2823 158 Meridian Meridian NNP A34005 2823 159 Altitude Altitude NNP A34005 2823 160 , , , A34005 2823 161 and and CC A34005 2823 162 find find VB A34005 2823 163 what what WP A34005 2823 164 Arke Arke NNS A34005 2823 165 in in IN A34005 2823 166 the the DT A34005 2823 167 Sines Sines NNP A34005 2823 168 corresponds correspond VBZ A34005 2823 169 thereto thereto NN A34005 2823 170 as as IN A34005 2823 171 before before RB A34005 2823 172 . . . A34005 2824 1 We -PRON- PRP A34005 2824 2 have have VBP A34005 2824 3 put put VBN A34005 2824 4 on on RP A34005 2824 5 no no DT A34005 2824 6 Stars star NNS A34005 2824 7 of of IN A34005 2824 8 Southwardly southwardly JJ A34005 2824 9 Declination declination NN A34005 2824 10 that that WDT A34005 2824 11 will will MD A34005 2824 12 fall fall VB A34005 2824 13 beyond beyond IN A34005 2824 14 the the DT A34005 2824 15 Winter Winter NNP A34005 2824 16 Tropick Tropick NNP A34005 2824 17 , , , A34005 2824 18 but but CC A34005 2824 19 some some DT A34005 2824 20 of of IN A34005 2824 21 Northerly Northerly NNP A34005 2824 22 Declination Declination NNP A34005 2824 23 falling fall VBG A34005 2824 24 without without IN A34005 2824 25 the the DT A34005 2824 26 Summer Summer NNP A34005 2824 27 Tropick Tropick NNP A34005 2824 28 , , , A34005 2824 29 are be VBP A34005 2824 30 put put VBN A34005 2824 31 on on IN A34005 2824 32 that that WDT A34005 2824 33 are be VBP A34005 2824 34 placed place VBN A34005 2824 35 without without IN A34005 2824 36 the the DT A34005 2824 37 Projection Projection NNP A34005 2824 38 towards towards IN A34005 2824 39 the the DT A34005 2824 40 Limbe Limbe NNP A34005 2824 41 . . . A34005 2825 1 All all PDT A34005 2825 2 these these DT A34005 2825 3 Stars star NNS A34005 2825 4 must must MD A34005 2825 5 be be VB A34005 2825 6 graduated graduate VBN A34005 2825 7 against against IN A34005 2825 8 the the DT A34005 2825 9 line line NN A34005 2825 10 of of IN A34005 2825 11 Sines Sines NNPS A34005 2825 12 at at IN A34005 2825 13 their -PRON- PRP$ A34005 2825 14 respective respective JJ A34005 2825 15 Altitudes altitude NNS A34005 2825 16 or or CC A34005 2825 17 Depressions depression NNS A34005 2825 18 at at IN A34005 2825 19 the the DT A34005 2825 20 Stars Stars NNP A34005 2825 21 houre houre NN A34005 2825 22 of of IN A34005 2825 23 Six six CD A34005 2825 24 from from IN A34005 2825 25 the the DT A34005 2825 26 Meridian Meridian NNP A34005 2825 27 , , , A34005 2825 28 and and CC A34005 2825 29 must must MD A34005 2825 30 have have VB A34005 2825 31 the the DT A34005 2825 32 same same JJ A34005 2825 33 letter letter NN A34005 2825 34 set set VBN A34005 2825 35 to to IN A34005 2825 36 them -PRON- PRP A34005 2825 37 in in IN A34005 2825 38 both both DT A34005 2825 39 places place NNS A34005 2825 40 , , , A34005 2825 41 as as RB A34005 2825 42 also also RB A34005 2825 43 upon upon IN A34005 2825 44 the the DT A34005 2825 45 quadrant quadrant NN A34005 2825 46 of of IN A34005 2825 47 12 12 CD A34005 2825 48 houres houre NNS A34005 2825 49 of of IN A34005 2825 50 Ascension ascension NN A34005 2825 51 on on IN A34005 2825 52 the the DT A34005 2825 53 Back back JJ A34005 2825 54 - - HYPH A34005 2825 55 side side NN A34005 2825 56 where where WRB A34005 2825 57 they -PRON- PRP A34005 2825 58 are be VBP A34005 2825 59 put put VBN A34005 2825 60 on on RP A34005 2825 61 according accord VBG A34005 2825 62 to to IN A34005 2825 63 their -PRON- PRP$ A34005 2825 64 true true JJ A34005 2825 65 Ascension ascension NN A34005 2825 66 with with IN A34005 2825 67 their -PRON- PRP$ A34005 2825 68 Declinations declination NNS A34005 2825 69 and and CC A34005 2825 70 Ascensional Ascensional NNP A34005 2825 71 differences difference NNS A34005 2825 72 graved grave VBN A34005 2825 73 against against IN A34005 2825 74 them -PRON- PRP A34005 2825 75 with with IN A34005 2825 76 the the DT A34005 2825 77 former former JJ A34005 2825 78 Letter letter NN A34005 2825 79 , , , A34005 2825 80 and and CC A34005 2825 81 such such JJ A34005 2825 82 of of IN A34005 2825 83 them -PRON- PRP A34005 2825 84 as as IN A34005 2825 85 have have VBP A34005 2825 86 more more JJR A34005 2825 87 then then RB A34005 2825 88 12 12 CD A34005 2825 89 houres houre NNS A34005 2825 90 of of IN A34005 2825 91 right right JJ A34005 2825 92 Ascension Ascension NNP A34005 2825 93 have have VBP A34005 2825 94 the the DT A34005 2825 95 Character Character NNP A34005 2825 96 plus plus CC A34005 2825 97 ✚ ✚ CD A34005 2825 98 affixed affix VBN A34005 2825 99 , , , A34005 2825 100 denoting denote VBG A34005 2825 101 that that IN A34005 2825 102 if if IN A34005 2825 103 there there EX A34005 2825 104 be be VB A34005 2825 105 12 12 CD A34005 2825 106 houres houre NNS A34005 2825 107 of of IN A34005 2825 108 Ascension ascension NN A34005 2825 109 added add VBD A34005 2825 110 to to IN A34005 2825 111 that that DT A34005 2825 112 Ascension Ascension NNP A34005 2825 113 they -PRON- PRP A34005 2825 114 stand stand VBP A34005 2825 115 against against IN A34005 2825 116 , , , A34005 2825 117 the the DT A34005 2825 118 summe summe NN A34005 2825 119 is be VBZ A34005 2825 120 their -PRON- PRP$ A34005 2825 121 whole whole JJ A34005 2825 122 true true JJ A34005 2825 123 right right JJ A34005 2825 124 Ascension ascension NN A34005 2825 125 . . . A34005 2826 1 To to TO A34005 2826 2 find find VB A34005 2826 3 the the DT A34005 2826 4 quantity quantity NN A34005 2826 5 of of IN A34005 2826 6 a a DT A34005 2826 7 Stars Stars NNP A34005 2826 8 houre houre NN A34005 2826 9 from from IN A34005 2826 10 the the DT A34005 2826 11 Meridian Meridian NNP A34005 2826 12 by by IN A34005 2826 13 the the DT A34005 2826 14 Projection Projection NNP A34005 2826 15 . . . A34005 2827 1 SEt SEt VBZ A34005 2827 2 the the DT A34005 2827 3 Bead Bead NNP A34005 2827 4 upon upon IN A34005 2827 5 the the DT A34005 2827 6 Index Index NNP A34005 2827 7 of of IN A34005 2827 8 Altitude Altitude NNP A34005 2827 9 to to IN A34005 2827 10 the the DT A34005 2827 11 Stars Stars NNPS A34005 2827 12 observed observe VBD A34005 2827 13 Altitude altitude NN A34005 2827 14 , , , A34005 2827 15 and and CC A34005 2827 16 bring bring VB A34005 2827 17 it -PRON- PRP A34005 2827 18 to to IN A34005 2827 19 the the DT A34005 2827 20 parallel parallel NN A34005 2827 21 of of IN A34005 2827 22 Declination Declination NNP A34005 2827 23 the the DT A34005 2827 24 Star Star NNP A34005 2827 25 is be VBZ A34005 2827 26 graved grave VBN A34005 2827 27 in in RP A34005 2827 28 , , , A34005 2827 29 so so CC A34005 2827 30 will will MD A34005 2827 31 it -PRON- PRP A34005 2827 32 shew shew VB A34005 2827 33 among among IN A34005 2827 34 the the DT A34005 2827 35 houre houre NN A34005 2827 36 lines line NNS A34005 2827 37 , , , A34005 2827 38 that that IN A34005 2827 39 Stars star NNS A34005 2827 40 houre houre NN A34005 2827 41 from from IN A34005 2827 42 the the DT A34005 2827 43 Meridian Meridian NNP A34005 2827 44 , , , A34005 2827 45 and and CC A34005 2827 46 the the DT A34005 2827 47 thread thread NN A34005 2827 48 in in IN A34005 2827 49 the the DT A34005 2827 50 Limbe Limbe NNP A34005 2827 51 will will MD A34005 2827 52 shew shew VB A34005 2827 53 the the DT A34005 2827 54 Stars Stars NNPS A34005 2827 55 Azimuth Azimuth NNP A34005 2827 56 . . . A34005 2828 1 Example example NN A34005 2828 2 . . . A34005 2829 1 Admit admit VB A34005 2829 2 the the DT A34005 2829 3 Altitude altitude NN A34005 2829 4 of of IN A34005 2829 5 Arcturus Arcturus NNP A34005 2829 6 be be VB A34005 2829 7 52 52 CD A34005 2829 8 deg deg NN A34005 2829 9 . . . A34005 2830 1 the the DT A34005 2830 2 houre houre NN A34005 2830 3 of of IN A34005 2830 4 that that DT A34005 2830 5 Star Star NNP A34005 2830 6 from from IN A34005 2830 7 midnight midnight NN A34005 2830 8 , , , A34005 2830 9 if if IN A34005 2830 10 the the DT A34005 2830 11 Altitude altitude NN A34005 2830 12 increase increase NN A34005 2830 13 will will MD A34005 2830 14 be be VB A34005 2830 15 7′ 7′ CD A34005 2830 16 past past IN A34005 2830 17 10 10 CD A34005 2830 18 ferè ferè NN A34005 2830 19 , , , A34005 2830 20 and and CC A34005 2830 21 the the DT A34005 2830 22 Azimuth Azimuth NNP A34005 2830 23 of of IN A34005 2830 24 that that DT A34005 2830 25 Star Star NNP A34005 2830 26 will will MD A34005 2830 27 be be VB A34005 2830 28 47 47 CD A34005 2830 29 deg deg NN A34005 2830 30 . . . A34005 2831 1 43′ 43′ CD A34005 2831 2 to to IN A34005 2831 3 the the DT A34005 2831 4 Eastwards eastward NNS A34005 2831 5 of of IN A34005 2831 6 the the DT A34005 2831 7 South South NNP A34005 2831 8 . . . A34005 2832 1 The the DT A34005 2832 2 houre houre NN A34005 2832 3 and and CC A34005 2832 4 Azimuth Azimuth NNP A34005 2832 5 of of IN A34005 2832 6 any any DT A34005 2832 7 Star Star NNP A34005 2832 8 within within IN A34005 2832 9 the the DT A34005 2832 10 Tropicks tropick NNS A34005 2832 11 , , , A34005 2832 12 may may MD A34005 2832 13 be be VB A34005 2832 14 also also RB A34005 2832 15 found find VBN A34005 2832 16 by by IN A34005 2832 17 the the DT A34005 2832 18 fitted fitted JJ A34005 2832 19 Scale Scale NNP A34005 2832 20 on on IN A34005 2832 21 the the DT A34005 2832 22 right right JJ A34005 2832 23 edge edge NN A34005 2832 24 of of IN A34005 2832 25 the the DT A34005 2832 26 quadrant quadrant NN A34005 2832 27 , , , A34005 2832 28 or or CC A34005 2832 29 by by IN A34005 2832 30 the the DT A34005 2832 31 Curve Curve NNP A34005 2832 32 , , , A34005 2832 33 after after IN A34005 2832 34 the the DT A34005 2832 35 same same JJ A34005 2832 36 manner manner NN A34005 2832 37 as as IN A34005 2832 38 for for IN A34005 2832 39 the the DT A34005 2832 40 Sun Sun NNP A34005 2832 41 , , , A34005 2832 42 using use VBG A34005 2832 43 the the DT A34005 2832 44 Stars Stars NNPS A34005 2832 45 Declination Declination NNP A34005 2832 46 as as IN A34005 2832 47 was be VBD A34005 2832 48 done do VBN A34005 2832 49 for for IN A34005 2832 50 the the DT A34005 2832 51 Suns Suns NNPS A34005 2832 52 , , , A34005 2832 53 or or CC A34005 2832 54 in in IN A34005 2832 55 the the DT A34005 2832 56 equall equall NN A34005 2832 57 limb limb NN A34005 2832 58 as as IN A34005 2832 59 we -PRON- PRP A34005 2832 60 shewed shew VBD A34005 2832 61 for for IN A34005 2832 62 the the DT A34005 2832 63 Sun Sun NNP A34005 2832 64 , , , A34005 2832 65 which which WDT A34005 2832 66 may may MD A34005 2832 67 well well RB A34005 2832 68 serve serve VB A34005 2832 69 for for IN A34005 2832 70 most most JJS A34005 2832 71 of of IN A34005 2832 72 the the DT A34005 2832 73 Stars Stars NNPS A34005 2832 74 in in IN A34005 2832 75 the the DT A34005 2832 76 Hemisphere Hemisphere NNP A34005 2832 77 . . . A34005 2833 1 Otherwise otherwise RB A34005 2833 2 with with IN A34005 2833 3 Compasses compass NNS A34005 2833 4 according accord VBG A34005 2833 5 to to IN A34005 2833 6 the the DT A34005 2833 7 late late JJ A34005 2833 8 suggested suggest VBN A34005 2833 9 placing placing NN A34005 2833 10 of of IN A34005 2833 11 them -PRON- PRP A34005 2833 12 . . . A34005 2834 1 To to TO A34005 2834 2 find find VB A34005 2834 3 the the DT A34005 2834 4 houre houre NN A34005 2834 5 of of IN A34005 2834 6 any any DT A34005 2834 7 Star Star NNP A34005 2834 8 from from IN A34005 2834 9 the the DT A34005 2834 10 Meridian Meridian NNP A34005 2834 11 that that WDT A34005 2834 12 hath hath NNP A34005 2834 13 North North NNP A34005 2834 14 Declination Declination NNP A34005 2834 15 . . . A34005 2835 1 TAke take VB A34005 2835 2 the the DT A34005 2835 3 distance distance NN A34005 2835 4 between between IN A34005 2835 5 the the DT A34005 2835 6 Star Star NNP A34005 2835 7 point point NN A34005 2835 8 in in IN A34005 2835 9 the the DT A34005 2835 10 line line NN A34005 2835 11 of of IN A34005 2835 12 Sines Sines NNP A34005 2835 13 , , , A34005 2835 14 and and CC A34005 2835 15 it -PRON- PRP A34005 2835 16 s s VBZ A34005 2835 17 observed observed JJ A34005 2835 18 Altitude altitude NN A34005 2835 19 , , , A34005 2835 20 and and CC A34005 2835 21 laying lay VBG A34005 2835 22 the the DT A34005 2835 23 thread thread NN A34005 2835 24 over over IN A34005 2835 25 the the DT A34005 2835 26 Star Star NNP A34005 2835 27 where where WRB A34005 2835 28 it -PRON- PRP A34005 2835 29 is be VBZ A34005 2835 30 graved grave VBN A34005 2835 31 on on IN A34005 2835 32 or or CC A34005 2835 33 below below IN A34005 2835 34 the the DT A34005 2835 35 Projection Projection NNP A34005 2835 36 , , , A34005 2835 37 enter enter VB A34005 2835 38 the the DT A34005 2835 39 former former JJ A34005 2835 40 extent extent NN A34005 2835 41 paralelly paralelly RB A34005 2835 42 between between IN A34005 2835 43 the the DT A34005 2835 44 thread thread NN A34005 2835 45 and and CC A34005 2835 46 the the DT A34005 2835 47 Scale Scale NNP A34005 2835 48 , , , A34005 2835 49 and and CC A34005 2835 50 it -PRON- PRP A34005 2835 51 shewes shew VBZ A34005 2835 52 the the DT A34005 2835 53 Stars Stars NNP A34005 2835 54 houre houre NN A34005 2835 55 from from IN A34005 2835 56 six six CD A34005 2835 57 in in IN A34005 2835 58 the the DT A34005 2835 59 sines sine NNS A34005 2835 60 towards towards IN A34005 2835 61 noone noone NN A34005 2835 62 , , , A34005 2835 63 if if IN A34005 2835 64 the the DT A34005 2835 65 Altitude altitude NN A34005 2835 66 fell fall VBD A34005 2835 67 beyond beyond IN A34005 2835 68 the the DT A34005 2835 69 Star Star NNP A34005 2835 70 point point NN A34005 2835 71 , , , A34005 2835 72 otherwise otherwise RB A34005 2835 73 towards towards IN A34005 2835 74 midnight midnight NN A34005 2835 75 . . . A34005 2836 1 Example example NN A34005 2836 2 . . . A34005 2837 1 For for IN A34005 2837 2 the the DT A34005 2837 3 Goat Goat NNP A34005 2837 4 Star Star NNP A34005 2837 5 let let VBD A34005 2837 6 its -PRON- PRP$ A34005 2837 7 Altitude altitude NN A34005 2837 8 be be VB A34005 2837 9 40 40 CD A34005 2837 10 deg deg NN A34005 2837 11 . . . A34005 2838 1 and and CC A34005 2838 2 past past IN A34005 2838 3 the the DT A34005 2838 4 Meridian Meridian NNP A34005 2838 5 , , , A34005 2838 6 the the DT A34005 2838 7 houre houre NN A34005 2838 8 of of IN A34005 2838 9 that that DT A34005 2838 10 Star Star NNP A34005 2838 11 will will MD A34005 2838 12 be be VB A34005 2838 13 44′ 44′ CD A34005 2838 14 from from IN A34005 2838 15 six six CD A34005 2838 16 , , , A34005 2838 17 for for IN A34005 2838 18 the the DT A34005 2838 19 Compasses compass NNS A34005 2838 20 fall fall VBP A34005 2838 21 upon upon IN A34005 2838 22 the the DT A34005 2838 23 sine sine NN A34005 2838 24 of of IN A34005 2838 25 11 11 CD A34005 2838 26 deg deg NN A34005 2838 27 . . . A34005 2839 1 4′ 4′ CD A34005 2839 2 the the DT A34005 2839 3 houre houre NN A34005 2839 4 is be VBZ A34005 2839 5 towards towards IN A34005 2839 6 noon noon NN A34005 2839 7 Meridian Meridian NNP A34005 2839 8 , , , A34005 2839 9 because because IN A34005 2839 10 the the DT A34005 2839 11 Altitude altitude NN A34005 2839 12 is be VBZ A34005 2839 13 greater great JJR A34005 2839 14 then then RB A34005 2839 15 34 34 CD A34005 2839 16 deg deg NN A34005 2839 17 . . . A34005 2840 1 the the DT A34005 2840 2 point point NN A34005 2840 3 where where WRB A34005 2840 4 the the DT A34005 2840 5 Star Star NNP A34005 2840 6 is be VBZ A34005 2840 7 graved grave VBN A34005 2840 8 , , , A34005 2840 9 the the DT A34005 2840 10 thread thread NN A34005 2840 11 lying lie VBG A34005 2840 12 over over IN A34005 2840 13 the the DT A34005 2840 14 Star Star NNP A34005 2840 15 intersects intersect NNS A34005 2840 16 , , , A34005 2840 17 the the DT A34005 2840 18 Limbe Limbe NNP A34005 2840 19 at at IN A34005 2840 20 25 25 CD A34005 2840 21 deg deg NN A34005 2840 22 . . . A34005 2841 1 47′ 47′ CD A34005 2841 2 if if IN A34005 2841 3 the the DT A34005 2841 4 distance distance NN A34005 2841 5 between between IN A34005 2841 6 the the DT A34005 2841 7 Star Star NNP A34005 2841 8 , , , A34005 2841 9 and and CC A34005 2841 10 its -PRON- PRP$ A34005 2841 11 Altitude altitude NN A34005 2841 12 be be VB A34005 2841 13 entred entre VBN A34005 2841 14 at at IN A34005 2841 15 the the DT A34005 2841 16 sine sine NN A34005 2841 17 of of IN A34005 2841 18 that that DT A34005 2841 19 Arke Arke NNP A34005 2841 20 , , , A34005 2841 21 and and CC A34005 2841 22 the the DT A34005 2841 23 thread thread NN A34005 2841 24 laid lay VBN A34005 2841 25 to to IN A34005 2841 26 the the DT A34005 2841 27 other other JJ A34005 2841 28 foot foot NN A34005 2841 29 , , , A34005 2841 30 the the DT A34005 2841 31 houre houre NN A34005 2841 32 will will MD A34005 2841 33 be be VB A34005 2841 34 found find VBN A34005 2841 35 in in IN A34005 2841 36 the the DT A34005 2841 37 equal equal JJ A34005 2841 38 Limbe Limbe NNP A34005 2841 39 the the DT A34005 2841 40 same same JJ A34005 2841 41 as as IN A34005 2841 42 before before RB A34005 2841 43 . . . A34005 2842 1 For for IN A34005 2842 2 Stars star NNS A34005 2842 3 of of IN A34005 2842 4 Southwardly southwardly JJ A34005 2842 5 Declination declination NN A34005 2842 6 . . . A34005 2843 1 BEcause because IN A34005 2843 2 the the DT A34005 2843 3 Star Star NNP A34005 2843 4 point point NN A34005 2843 5 can can MD A34005 2843 6 not not RB A34005 2843 7 fall fall VB A34005 2843 8 the the DT A34005 2843 9 other other JJ A34005 2843 10 way way NN A34005 2843 11 beyond beyond IN A34005 2843 12 the the DT A34005 2843 13 Center Center NNP A34005 2843 14 of of IN A34005 2843 15 the the DT A34005 2843 16 quadrant quadrant NN A34005 2843 17 , , , A34005 2843 18 therefore therefore RB A34005 2843 19 the the DT A34005 2843 20 distance distance NN A34005 2843 21 between between IN A34005 2843 22 the the DT A34005 2843 23 Star Star NNP A34005 2843 24 point point NN A34005 2843 25 , , , A34005 2843 26 and and CC A34005 2843 27 the the DT A34005 2843 28 Center Center NNP A34005 2843 29 must must MD A34005 2843 30 be be VB A34005 2843 31 increasing increase VBG A34005 2843 32 by by IN A34005 2843 33 adding add VBG A34005 2843 34 the the DT A34005 2843 35 sine sine NN A34005 2843 36 of of IN A34005 2843 37 the the DT A34005 2843 38 Stars Stars NNPS A34005 2843 39 Altitude Altitude NNP A34005 2843 40 thereto thereto NN A34005 2843 41 , , , A34005 2843 42 which which WDT A34005 2843 43 will will MD A34005 2843 44 fall fall VB A34005 2843 45 more more JJR A34005 2843 46 outwards outward NNS A34005 2843 47 towards towards IN A34005 2843 48 the the DT A34005 2843 49 Limbe Limbe NNP A34005 2843 50 , , , A34005 2843 51 and and CC A34005 2843 52 then then RB A34005 2843 53 that that DT A34005 2843 54 whole whole JJ A34005 2843 55 extent extent NN A34005 2843 56 is be VBZ A34005 2843 57 to to TO A34005 2843 58 be be VB A34005 2843 59 entred entre VBN A34005 2843 60 as as IN A34005 2843 61 before before RB A34005 2843 62 . . . A34005 2844 1 Example example NN A34005 2844 2 . . . A34005 2845 1 The the DT A34005 2845 2 Virgins Virgins NNP A34005 2845 3 Spike Spike NNP A34005 2845 4 hath hath NNP A34005 2845 5 9 9 CD A34005 2845 6 deg deg NN A34005 2845 7 19′ 19′ CD A34005 2845 8 of of IN A34005 2845 9 South South NNP A34005 2845 10 Declination Declination NNP A34005 2845 11 the the DT A34005 2845 12 Depression Depression NNP A34005 2845 13 of of IN A34005 2845 14 that that DT A34005 2845 15 Star Star NNP A34005 2845 16 at at IN A34005 2845 17 six six CD A34005 2845 18 will will MD A34005 2845 19 be be VB A34005 2845 20 found find VBN A34005 2845 21 by by IN A34005 2845 22 help help NN A34005 2845 23 of of IN A34005 2845 24 the the DT A34005 2845 25 particular particular JJ A34005 2845 26 sine sine NN A34005 2845 27 to to TO A34005 2845 28 be be VB A34005 2845 29 7 7 CD A34005 2845 30 deg deg NN A34005 2845 31 . . . A34005 2846 1 17′ 17′ CD A34005 2846 2 and and CC A34005 2846 3 at at IN A34005 2846 4 that that DT A34005 2846 5 Arke Arke NNP A34005 2846 6 in in IN A34005 2846 7 the the DT A34005 2846 8 sines sine NNS A34005 2846 9 the the DT A34005 2846 10 Star Star NNP A34005 2846 11 is be VBZ A34005 2846 12 graved grave VBN A34005 2846 13 , , , A34005 2846 14 if if IN A34005 2846 15 the the DT A34005 2846 16 Altitude Altitude NNP A34005 2846 17 of of IN A34005 2846 18 that that DT A34005 2846 19 Star Star NNP A34005 2846 20 were be VBD A34005 2846 21 20 20 CD A34005 2846 22 deg deg NN A34005 2846 23 . . . A34005 2847 1 the the DT A34005 2847 2 sine sine NN A34005 2847 3 thereof thereof RB A34005 2847 4 added add VBD A34005 2847 5 to to IN A34005 2847 6 the the DT A34005 2847 7 Star Star NNP A34005 2847 8 will will MD A34005 2847 9 be be VB A34005 2847 10 equal equal JJ A34005 2847 11 to to IN A34005 2847 12 the the DT A34005 2847 13 sine sine NN A34005 2847 14 of of IN A34005 2847 15 29 29 CD A34005 2847 16 deg deg NN A34005 2847 17 . . . A34005 2848 1 6′ 6′ LS A34005 2848 2 this this DT A34005 2848 3 whole whole JJ A34005 2848 4 extent extent NN A34005 2848 5 entred entre VBN A34005 2848 6 at at IN A34005 2848 7 the the DT A34005 2848 8 sine sine NN A34005 2848 9 of of IN A34005 2848 10 37 37 CD A34005 2848 11 deg deg NN A34005 2848 12 . . . A34005 2849 1 52′ 52′ CD A34005 2849 2 the the DT A34005 2849 3 Arke Arke NNP A34005 2849 4 of of IN A34005 2849 5 the the DT A34005 2849 6 Limbe Limbe NNP A34005 2849 7 against against IN A34005 2849 8 which which WDT A34005 2849 9 the the DT A34005 2849 10 Star Star NNP A34005 2849 11 is be VBZ A34005 2849 12 graved grave VBN A34005 2849 13 , , , A34005 2849 14 and and CC A34005 2849 15 the the DT A34005 2849 16 thread thread NN A34005 2849 17 laid lay VBN A34005 2849 18 to to IN A34005 2849 19 the the DT A34005 2849 20 other other JJ A34005 2849 21 foot foot NN A34005 2849 22 , , , A34005 2849 23 the the DT A34005 2849 24 houre houre NN A34005 2849 25 of of IN A34005 2849 26 that that DT A34005 2849 27 Star Star NNP A34005 2849 28 if if IN A34005 2849 29 the the DT A34005 2849 30 Altitude altitude NN A34005 2849 31 increase increase NN A34005 2849 32 will will MD A34005 2849 33 be be VB A34005 2849 34 19′ 19′ CD A34005 2849 35 past past IN A34005 2849 36 9 9 CD A34005 2849 37 . . . A34005 2850 1 To to TO A34005 2850 2 find find VB A34005 2850 3 the the DT A34005 2850 4 true true JJ A34005 2850 5 time time NN A34005 2850 6 of of IN A34005 2850 7 the the DT A34005 2850 8 right right NN A34005 2850 9 . . . A34005 2851 1 THis this DT A34005 2851 2 must must MD A34005 2851 3 be be VB A34005 2851 4 done do VBN A34005 2851 5 by by IN A34005 2851 6 turning turn VBG A34005 2851 7 the the DT A34005 2851 8 Stars star NNS A34005 2851 9 houre houre NN A34005 2851 10 into into IN A34005 2851 11 the the DT A34005 2851 12 Suns Suns NNP A34005 2851 13 houre houre NN A34005 2851 14 or or CC A34005 2851 15 common common JJ A34005 2851 16 time time NN A34005 2851 17 , , , A34005 2851 18 either either CC A34005 2851 19 by by IN A34005 2851 20 the the DT A34005 2851 21 Pen Pen NNP A34005 2851 22 as as IN A34005 2851 23 hath hath NNP A34005 2851 24 been be VBN A34005 2851 25 shewed shew VBN A34005 2851 26 before before RB A34005 2851 27 , , , A34005 2851 28 which which WDT A34005 2851 29 may may MD A34005 2851 30 be be VB A34005 2851 31 also also RB A34005 2851 32 conveniently conveniently RB A34005 2851 33 performed perform VBN A34005 2851 34 by by IN A34005 2851 35 the the DT A34005 2851 36 back back NN A34005 2851 37 of of IN A34005 2851 38 this this DT A34005 2851 39 quadrant quadrant NN A34005 2851 40 , , , A34005 2851 41 for for IN A34005 2851 42 the the DT A34005 2851 43 thread thread NN A34005 2851 44 lying lie VBG A34005 2851 45 over over IN A34005 2851 46 the the DT A34005 2851 47 day day NN A34005 2851 48 of of IN A34005 2851 49 the the DT A34005 2851 50 moneth moneth NN A34005 2851 51 sheweth sheweth NN A34005 2851 52 the the DT A34005 2851 53 Complement Complement NNP A34005 2851 54 of of IN A34005 2851 55 the the DT A34005 2851 56 Suns Suns NNPS A34005 2851 57 Ascension Ascension NNP A34005 2851 58 in in IN A34005 2851 59 the the DT A34005 2851 60 Limbe Limbe NNP A34005 2851 61 . . . A34005 2852 1 Or or CC A34005 2852 2 with with IN A34005 2852 3 Compasses compass NNS A34005 2852 4 on on IN A34005 2852 5 the the DT A34005 2852 6 said say VBN A34005 2852 7 quadrant quadrant NN A34005 2852 8 of of IN A34005 2852 9 Ascensions Ascensions NNPS A34005 2852 10 . . . A34005 2853 1 THe the DT A34005 2853 2 thread thread NN A34005 2853 3 lying lie VBG A34005 2853 4 over over IN A34005 2853 5 the the DT A34005 2853 6 day day NN A34005 2853 7 of of IN A34005 2853 8 the the DT A34005 2853 9 moneth moneth NN A34005 2853 10 , , , A34005 2853 11 take take VB A34005 2853 12 the the DT A34005 2853 13 distance distance NN A34005 2853 14 between between IN A34005 2853 15 it -PRON- PRP A34005 2853 16 and and CC A34005 2853 17 the the DT A34005 2853 18 Star Star NNP A34005 2853 19 on on IN A34005 2853 20 the the DT A34005 2853 21 said say VBN A34005 2853 22 quadrant quadrant NN A34005 2853 23 , , , A34005 2853 24 the the DT A34005 2853 25 said say VBN A34005 2853 26 extent extent NN A34005 2853 27 being be VBG A34005 2853 28 applyed apply VBN A34005 2853 29 , , , A34005 2853 30 the the DT A34005 2853 31 same same JJ A34005 2853 32 way way NN A34005 2853 33 as as IN A34005 2853 34 it -PRON- PRP A34005 2853 35 was be VBD A34005 2853 36 taken take VBN A34005 2853 37 the the DT A34005 2853 38 Suns Suns NNPS A34005 2853 39 foot foot NN A34005 2853 40 to to IN A34005 2853 41 the the DT A34005 2853 42 Stars Stars NNP A34005 2853 43 houre houre NN A34005 2853 44 shall shall MD A34005 2853 45 reach reach VB A34005 2853 46 from from IN A34005 2853 47 the the DT A34005 2853 48 Stars Stars NNP A34005 2853 49 houre houre NN A34005 2853 50 to to IN A34005 2853 51 the the DT A34005 2853 52 true true JJ A34005 2853 53 houre houre NN A34005 2853 54 of of IN A34005 2853 55 the the DT A34005 2853 56 night night NN A34005 2853 57 , , , A34005 2853 58 and and CC A34005 2853 59 if if IN A34005 2853 60 one one CD A34005 2853 61 of of IN A34005 2853 62 the the DT A34005 2853 63 feet foot NNS A34005 2853 64 of of IN A34005 2853 65 the the DT A34005 2853 66 Compasses Compasses NNPS A34005 2853 67 fall fall VBP A34005 2853 68 off off IN A34005 2853 69 the the DT A34005 2853 70 quadrant quadrant NN A34005 2853 71 , , , A34005 2853 72 a a DT A34005 2853 73 double double JJ A34005 2853 74 remedy remedy NN A34005 2853 75 is be VBZ A34005 2853 76 els els NNP A34005 2853 77 - - : A34005 2853 78 where where WRB A34005 2853 79 prescribed prescribe VBN A34005 2853 80 . . . A34005 2854 1 Example example NN A34005 2854 2 . . . A34005 2855 1 If if IN A34005 2855 2 on on IN A34005 2855 3 the the DT A34005 2855 4 12th 12th NN A34005 2855 5 of of IN A34005 2855 6 January January NNP A34005 2855 7 the the DT A34005 2855 8 houre houre NN A34005 2855 9 of of IN A34005 2855 10 the the DT A34005 2855 11 Goat Goat NNP A34005 2855 12 Star Star NNP A34005 2855 13 was be VBD A34005 2855 14 16′ 16′ CD A34005 2855 15 past past IN A34005 2855 16 5 5 CD A34005 2855 17 from from IN A34005 2855 18 the the DT A34005 2855 19 Meridian Meridian NNP A34005 2855 20 , , , A34005 2855 21 the the DT A34005 2855 22 true true JJ A34005 2855 23 time time NN A34005 2855 24 sought seek VBD A34005 2855 25 would would MD A34005 2855 26 be be VB A34005 2855 27 49′ 49′ CD A34005 2855 28 past past IN A34005 2855 29 1 1 CD A34005 2855 30 in in IN A34005 2855 31 the the DT A34005 2855 32 morning morning NN A34005 2855 33 . . . A34005 2856 1 Example example NN A34005 2856 2 . . . A34005 2857 1 If if IN A34005 2857 2 upon upon IN A34005 2857 3 the the DT A34005 2857 4 third third NN A34005 2857 5 of of IN A34005 2857 6 January January NNP A34005 2857 7 , , , A34005 2857 8 the the DT A34005 2857 9 houre houre NN A34005 2857 10 of of IN A34005 2857 11 the the DT A34005 2857 12 Virgins Virgins NNP A34005 2857 13 Spike Spike NNP A34005 2857 14 , , , A34005 2857 15 were be VBD A34005 2857 16 observed observe VBN A34005 2857 17 to to TO A34005 2857 18 be be VB A34005 2857 19 19′ 19′ CD A34005 2857 20 past past IN A34005 2857 21 9 9 CD A34005 2857 22 , , , A34005 2857 23 the the DT A34005 2857 24 true true JJ A34005 2857 25 time time NN A34005 2857 26 sought seek VBD A34005 2857 27 would would MD A34005 2857 28 be be VB A34005 2857 29 45′ 45′ CD A34005 2857 30 past past IN A34005 2857 31 2 2 CD A34005 2857 32 in in IN A34005 2857 33 the the DT A34005 2857 34 morning morning NN A34005 2857 35 . . . A34005 2858 1 To to TO A34005 2858 2 find find VB A34005 2858 3 the the DT A34005 2858 4 time time NN A34005 2858 5 of of IN A34005 2858 6 a a DT A34005 2858 7 Stars star NNS A34005 2858 8 rising rise VBG A34005 2858 9 and and CC A34005 2858 10 setting set VBG A34005 2858 11 . . . A34005 2859 1 THe the DT A34005 2859 2 Ascentional ascentional JJ A34005 2859 3 difference difference NN A34005 2859 4 is be VBZ A34005 2859 5 graved grave VBN A34005 2859 6 against against IN A34005 2859 7 the the DT A34005 2859 8 Star Star NNP A34005 2859 9 , , , A34005 2859 10 the the DT A34005 2859 11 Virgins Virgins NNP A34005 2859 12 Spike Spike NNP A34005 2859 13 hath hath NNP A34005 2859 14 48′ 48′ CD A34005 2859 15 of of IN A34005 2859 16 Ascentional ascentional JJ A34005 2859 17 difference difference NN A34005 2859 18 , , , A34005 2859 19 that that DT A34005 2859 20 is be VBZ A34005 2859 21 to to TO A34005 2859 22 say say VB A34005 2859 23 , , , A34005 2859 24 that that IN A34005 2859 25 Stars star VBZ A34005 2859 26 houre houre NN A34005 2859 27 of of IN A34005 2859 28 rising rise VBG A34005 2859 29 is be VBZ A34005 2859 30 at at IN A34005 2859 31 48′ 48′ CD A34005 2859 32 past past IN A34005 2859 33 6 6 CD A34005 2859 34 , , , A34005 2859 35 and and CC A34005 2859 36 setting set VBG A34005 2859 37 at at IN A34005 2859 38 12′ 12′ CD A34005 2859 39 past past IN A34005 2859 40 5 5 CD A34005 2859 41 , , , A34005 2859 42 And and CC A34005 2859 43 the the DT A34005 2859 44 true true JJ A34005 2859 45 time time NN A34005 2859 46 of of IN A34005 2859 47 that that DT A34005 2859 48 Stars star NNS A34005 2859 49 rising rise VBG A34005 2859 50 upon upon IN A34005 2859 51 the the DT A34005 2859 52 third third NN A34005 2859 53 of of IN A34005 2859 54 January January NNP A34005 2859 55 , , , A34005 2859 56 will will MD A34005 2859 57 be be VB A34005 2859 58 at at IN A34005 2859 59 22′ 22′ CD A34005 2859 60 past past IN A34005 2859 61 10 10 CD A34005 2859 62 at at IN A34005 2859 63 night night NN A34005 2859 64 , , , A34005 2859 65 and and CC A34005 2859 66 of of IN A34005 2859 67 its -PRON- PRP$ A34005 2859 68 setting setting NN A34005 2859 69 at at IN A34005 2859 70 47′ 47′ CD A34005 2859 71 past past JJ A34005 2859 72 8 8 CD A34005 2859 73 in in IN A34005 2859 74 the the DT A34005 2859 75 morning morning NN A34005 2859 76 , , , A34005 2859 77 found find VBN A34005 2859 78 by by IN A34005 2859 79 the the DT A34005 2859 80 former former JJ A34005 2859 81 directions direction NNS A34005 2859 82 . . . A34005 2860 1 Of of IN A34005 2860 2 the the DT A34005 2860 3 rest rest NN A34005 2860 4 of of IN A34005 2860 5 the the DT A34005 2860 6 lines line NNS A34005 2860 7 on on IN A34005 2860 8 the the DT A34005 2860 9 back back NN A34005 2860 10 of of IN A34005 2860 11 this this DT A34005 2860 12 quadrant quadrant NN A34005 2860 13 . . . A34005 2861 1 THey they PRP A34005 2861 2 are be VBP A34005 2861 3 either either RB A34005 2861 4 such such JJ A34005 2861 5 as as IN A34005 2861 6 relate relate VB A34005 2861 7 to to IN A34005 2861 8 the the DT A34005 2861 9 motion motion NN A34005 2861 10 of of IN A34005 2861 11 the the DT A34005 2861 12 Sun Sun NNP A34005 2861 13 or or CC A34005 2861 14 Stars Stars NNP A34005 2861 15 , , , A34005 2861 16 or or CC A34005 2861 17 to to IN A34005 2861 18 Dialling dialling NN A34005 2861 19 , , , A34005 2861 20 or or CC A34005 2861 21 such such JJ A34005 2861 22 as as IN A34005 2861 23 are be VBP A34005 2861 24 derived derive VBN A34005 2861 25 from from IN A34005 2861 26 Mr Mr NNP A34005 2861 27 Gunters Gunters NNP A34005 2861 28 Sector Sector NNP A34005 2861 29 . . . A34005 2862 1 The the DT A34005 2862 2 Tangent Tangent NNP A34005 2862 3 of of IN A34005 2862 4 51 51 CD A34005 2862 5 deg deg NN A34005 2862 6 . . . A34005 2863 1 32′ 32′ CD A34005 2863 2 put put VBD A34005 2863 3 through through IN A34005 2863 4 the the DT A34005 2863 5 whole whole JJ A34005 2863 6 Limbe Limbe NNP A34005 2863 7 is be VBZ A34005 2863 8 peculiarly peculiarly RB A34005 2863 9 fitted fit VBN A34005 2863 10 to to IN A34005 2863 11 the the DT A34005 2863 12 Latitude Latitude NNP A34005 2863 13 of of IN A34005 2863 14 London London NNP A34005 2863 15 , , , A34005 2863 16 and and CC A34005 2863 17 will will MD A34005 2863 18 serve serve VB A34005 2863 19 to to TO A34005 2863 20 find find VB A34005 2863 21 the the DT A34005 2863 22 time time NN A34005 2863 23 when when WRB A34005 2863 24 the the DT A34005 2863 25 Sun Sun NNP A34005 2863 26 will will MD A34005 2863 27 be be VB A34005 2863 28 East East NNP A34005 2863 29 or or CC A34005 2863 30 West West NNP A34005 2863 31 , , , A34005 2863 32 as as RB A34005 2863 33 also also RB A34005 2863 34 for for IN A34005 2863 35 any any DT A34005 2863 36 of of IN A34005 2863 37 the the DT A34005 2863 38 Stars star NNS A34005 2863 39 that that WDT A34005 2863 40 have have VBP A34005 2863 41 lesse lesse VBN A34005 2863 42 Declination Declination NNP A34005 2863 43 then then RB A34005 2863 44 the the DT A34005 2863 45 place place NN A34005 2863 46 hath hath NN A34005 2863 47 Latitude Latitude NNP A34005 2863 48 . . . A34005 2864 1 Lay lay VB A34005 2864 2 the the DT A34005 2864 3 thread thread NN A34005 2864 4 to to IN A34005 2864 5 the the DT A34005 2864 6 Declination Declination NNP A34005 2864 7 counted count VBN A34005 2864 8 in in IN A34005 2864 9 the the DT A34005 2864 10 said say VBN A34005 2864 11 Tangent Tangent NNP A34005 2864 12 , , , A34005 2864 13 and and CC A34005 2864 14 in in IN A34005 2864 15 the the DT A34005 2864 16 Limbe Limbe NNP A34005 2864 17 it -PRON- PRP A34005 2864 18 shewes shew VBD A34005 2864 19 the the DT A34005 2864 20 houre houre NN A34005 2864 21 from from IN A34005 2864 22 6 6 CD A34005 2864 23 if if IN A34005 2864 24 reckoned reckon VBN A34005 2864 25 from from IN A34005 2864 26 the the DT A34005 2864 27 right right JJ A34005 2864 28 edge edge NN A34005 2864 29 . . . A34005 2865 1 Example example NN A34005 2865 2 . . . A34005 2866 1 When when WRB A34005 2866 2 the the DT A34005 2866 3 Sun Sun NNP A34005 2866 4 hath hath NNP A34005 2866 5 15 15 CD A34005 2866 6 deg deg NN A34005 2866 7 . . . A34005 2867 1 of of IN A34005 2867 2 North North NNP A34005 2867 3 Declination Declination NNP A34005 2867 4 the the DT A34005 2867 5 time time NN A34005 2867 6 of of IN A34005 2867 7 his -PRON- PRP$ A34005 2867 8 being be VBG A34005 2867 9 East East NNP A34005 2867 10 or or CC A34005 2867 11 West West NNP A34005 2867 12 will will MD A34005 2867 13 be be VB A34005 2867 14 12 12 CD A34005 2867 15 deg deg NN A34005 2867 16 . . . A34005 2868 1 17′ 17′ CD A34005 2868 2 in in IN A34005 2868 3 time time NN A34005 2868 4 about about IN A34005 2868 5 49′ 49′ CD A34005 2868 6 before before RB A34005 2868 7 or or CC A34005 2868 8 after after IN A34005 2868 9 six six CD A34005 2868 10 , , , A34005 2868 11 ferè ferè NNP A34005 2868 12 . . . A34005 2869 1 The the DT A34005 2869 2 Suns Suns NNP A34005 2869 3 place place NN A34005 2869 4 is be VBZ A34005 2869 5 given give VBN A34005 2869 6 in in IN A34005 2869 7 the the DT A34005 2869 8 Ecliptick Ecliptick NNP A34005 2869 9 line line NN A34005 2869 10 by by IN A34005 2869 11 laying lay VBG A34005 2869 12 the the DT A34005 2869 13 thread thread NN A34005 2869 14 over over IN A34005 2869 15 the the DT A34005 2869 16 day day NN A34005 2869 17 of of IN A34005 2869 18 the the DT A34005 2869 19 moneth moneth NN A34005 2869 20 in in IN A34005 2869 21 the the DT A34005 2869 22 quadrant quadrant NN A34005 2869 23 of of IN A34005 2869 24 Ascensions Ascensions NNPS A34005 2869 25 , , , A34005 2869 26 of of IN A34005 2869 27 which which WDT A34005 2869 28 see see VBP A34005 2869 29 page page NN A34005 2869 30 16 16 CD A34005 2869 31 & & CC A34005 2869 32 17 17 CD A34005 2869 33 of of IN A34005 2869 34 the the DT A34005 2869 35 small small JJ A34005 2869 36 quadrant quadrant NN A34005 2869 37 . . . A34005 2870 1 Of of IN A34005 2870 2 the the DT A34005 2870 3 lines line NNS A34005 2870 4 relating relate VBG A34005 2870 5 to to IN A34005 2870 6 Dialling Dialling NNP A34005 2870 7 . . . A34005 2871 1 SUch SUch NNP A34005 2871 2 are be VBP A34005 2871 3 the the DT A34005 2871 4 Line Line NNP A34005 2871 5 of of IN A34005 2871 6 Latitudes Latitudes NNP A34005 2871 7 , , , A34005 2871 8 and and CC A34005 2871 9 Scale Scale NNP A34005 2871 10 of of IN A34005 2871 11 houres houre NNS A34005 2871 12 , , , A34005 2871 13 of of IN A34005 2871 14 which which WDT A34005 2871 15 before before RB A34005 2871 16 , , , A34005 2871 17 and and CC A34005 2871 18 the the DT A34005 2871 19 line line NN A34005 2871 20 Sol Sol NNP A34005 2871 21 in in IN A34005 2871 22 the the DT A34005 2871 23 Limbe Limbe NNP A34005 2871 24 , , , A34005 2871 25 of of IN A34005 2871 26 which which WDT A34005 2871 27 I -PRON- PRP A34005 2871 28 shall shall MD A34005 2871 29 say say VB A34005 2871 30 nothing nothing NN A34005 2871 31 at at IN A34005 2871 32 present present JJ A34005 2871 33 , , , A34005 2871 34 it -PRON- PRP A34005 2871 35 is be VBZ A34005 2871 36 onely onely RB A34005 2871 37 placed place VBN A34005 2871 38 there there RB A34005 2871 39 in in IN A34005 2871 40 readinesse readinesse NNP A34005 2871 41 to to TO A34005 2871 42 take take VB A34005 2871 43 off off RP A34005 2871 44 any any DT A34005 2871 45 Arke Arke NNP A34005 2871 46 from from IN A34005 2871 47 it -PRON- PRP A34005 2871 48 , , , A34005 2871 49 according accord VBG A34005 2871 50 to to IN A34005 2871 51 the the DT A34005 2871 52 accustomed accustomed JJ A34005 2871 53 manner manner NN A34005 2871 54 of of IN A34005 2871 55 taking take VBG A34005 2871 56 off off RP A34005 2871 57 lines line NNS A34005 2871 58 from from IN A34005 2871 59 the the DT A34005 2871 60 Limbe Limbe NNP A34005 2871 61 to to IN A34005 2871 62 any any DT A34005 2871 63 assigned assign VBN A34005 2871 64 Radius Radius NNP A34005 2871 65 . . . A34005 2872 1 The the DT A34005 2872 2 requisite requisite JJ A34005 2872 3 Arkes arke NNS A34005 2872 4 of of IN A34005 2872 5 an an DT A34005 2872 6 upright upright JJ A34005 2872 7 Decliner Decliner NNP A34005 2872 8 will will MD A34005 2872 9 be be VB A34005 2872 10 given give VBN A34005 2872 11 by by IN A34005 2872 12 the the DT A34005 2872 13 particular particular JJ A34005 2872 14 lines line NNS A34005 2872 15 on on IN A34005 2872 16 the the DT A34005 2872 17 Quadrant Quadrant NNP A34005 2872 18 for for IN A34005 2872 19 the the DT A34005 2872 20 Latitude Latitude NNP A34005 2872 21 without without IN A34005 2872 22 the the DT A34005 2872 23 trouble trouble NN A34005 2872 24 of of IN A34005 2872 25 Proportionall Proportionall NNP A34005 2872 26 worke worke VBD A34005 2872 27 . . . A34005 2873 1 1 1 CD A34005 2873 2 The the DT A34005 2873 3 substiles substile NNS A34005 2873 4 distance distance NN A34005 2873 5 from from IN A34005 2873 6 the the DT A34005 2873 7 Meridian Meridian NNP A34005 2873 8 . . . A34005 2874 1 ACcount ACcount NNP A34005 2874 2 the the DT A34005 2874 3 Plaines Plaines NNP A34005 2874 4 declination declination NN A34005 2874 5 as as IN A34005 2874 6 a a DT A34005 2874 7 sine sine NN A34005 2874 8 in in IN A34005 2874 9 the the DT A34005 2874 10 fitted fitted JJ A34005 2874 11 hour hour NN A34005 2874 12 Scale Scale NNP A34005 2874 13 on on IN A34005 2874 14 the the DT A34005 2874 15 right right JJ A34005 2874 16 edge edge NN A34005 2874 17 of of IN A34005 2874 18 the the DT A34005 2874 19 fore fore NN A34005 2874 20 - - HYPH A34005 2874 21 side side NN A34005 2874 22 , , , A34005 2874 23 and and CC A34005 2874 24 just just RB A34005 2874 25 against against IN A34005 2874 26 it -PRON- PRP A34005 2874 27 in in IN A34005 2874 28 the the DT A34005 2874 29 annexed annex VBN A34005 2874 30 Tangent Tangent NNP A34005 2874 31 , , , A34005 2874 32 stands stand VBZ A34005 2874 33 the the DT A34005 2874 34 substiles substile NNS A34005 2874 35 distance distance NN A34005 2874 36 from from IN A34005 2874 37 the the DT A34005 2874 38 meridian meridian NNP A34005 2874 39 . . . A34005 2875 1 If if IN A34005 2875 2 an an DT A34005 2875 3 upright upright JJ A34005 2875 4 Plaine plaine JJ A34005 2875 5 decline decline NN A34005 2875 6 30 30 CD A34005 2875 7 deg deg NN A34005 2875 8 . . . A34005 2876 1 the the DT A34005 2876 2 substiles substiles NNP A34005 2876 3 distance distance NN A34005 2876 4 will will MD A34005 2876 5 be be VB A34005 2876 6 21 21 CD A34005 2876 7 deg deg NN A34005 2876 8 . . . A34005 2877 1 41 41 CD A34005 2877 2 minutes minute NNS A34005 2877 3 . . . A34005 2878 1 2 2 CD A34005 2878 2 The the DT A34005 2878 3 Stiles Stiles NNP A34005 2878 4 height height NN A34005 2878 5 . . . A34005 2879 1 Count count VB A34005 2879 2 the the DT A34005 2879 3 Complement Complement NNP A34005 2879 4 of of IN A34005 2879 5 the the DT A34005 2879 6 Plaines Plaines NNP A34005 2879 7 Declination Declination NNP A34005 2879 8 in in IN A34005 2879 9 the the DT A34005 2879 10 said say VBN A34005 2879 11 fitted fitted JJ A34005 2879 12 houre houre NN A34005 2879 13 scale scale NN A34005 2879 14 as as IN A34005 2879 15 a a DT A34005 2879 16 sine sine NN A34005 2879 17 and and CC A34005 2879 18 apply apply VB A34005 2879 19 it -PRON- PRP A34005 2879 20 with with IN A34005 2879 21 Compasses compass NNS A34005 2879 22 to to IN A34005 2879 23 the the DT A34005 2879 24 line line NN A34005 2879 25 of of IN A34005 2879 26 sines sine NNS A34005 2879 27 issuing issue VBG A34005 2879 28 from from IN A34005 2879 29 the the DT A34005 2879 30 Center Center NNP A34005 2879 31 , , , A34005 2879 32 for for IN A34005 2879 33 the the DT A34005 2879 34 former former JJ A34005 2879 35 Plaine Plaine NNP A34005 2879 36 the the DT A34005 2879 37 stiles stile NNS A34005 2879 38 height height NN A34005 2879 39 will will MD A34005 2879 40 be be VB A34005 2879 41 found find VBN A34005 2879 42 32 32 CD A34005 2879 43 deg deg NN A34005 2879 44 . . . A34005 2880 1 37′ 37′ CD A34005 2880 2 . . . A34005 2881 1 3 3 CD A34005 2881 2 The the DT A34005 2881 3 Inclination Inclination NNP A34005 2881 4 of of IN A34005 2881 5 Meridians Meridians NNPS A34005 2881 6 . . . A34005 2882 1 Account account VB A34005 2882 2 the the DT A34005 2882 3 stilts stilt NNS A34005 2882 4 height height RB A34005 2882 5 in in IN A34005 2882 6 the the DT A34005 2882 7 annexed annex VBN A34005 2882 8 tangent tangent NN A34005 2882 9 of of IN A34005 2882 10 the the DT A34005 2882 11 fitted fitted JJ A34005 2882 12 hour hour NN A34005 2882 13 Scale Scale NNP A34005 2882 14 , , , A34005 2882 15 and and CC A34005 2882 16 just just RB A34005 2882 17 against against IN A34005 2882 18 it -PRON- PRP A34005 2882 19 in in IN A34005 2882 20 the the DT A34005 2882 21 sine sine NN A34005 2882 22 stands stand VBZ A34005 2882 23 the the DT A34005 2882 24 Complement Complement NNP A34005 2882 25 of of IN A34005 2882 26 the the DT A34005 2882 27 Inclination Inclination NNP A34005 2882 28 of of IN A34005 2882 29 meridians meridian NNS A34005 2882 30 which which WDT A34005 2882 31 for for IN A34005 2882 32 the the DT A34005 2882 33 former former JJ A34005 2882 34 plaine plaine NN A34005 2882 35 will will MD A34005 2882 36 be be VB A34005 2882 37 found find VBN A34005 2882 38 to to TO A34005 2882 39 be be VB A34005 2882 40 36 36 CD A34005 2882 41 deg deg NN A34005 2882 42 . . . A34005 2883 1 25′ 25′ CD A34005 2883 2 4 4 CD A34005 2883 3 The the DT A34005 2883 4 Angle Angle NNP A34005 2883 5 of of IN A34005 2883 6 12 12 CD A34005 2883 7 and and CC A34005 2883 8 6 6 CD A34005 2883 9 . . . A34005 2884 1 Account Account NNP A34005 2884 2 the the DT A34005 2884 3 Plaines Plaines NNP A34005 2884 4 Declination Declination NNP A34005 2884 5 in in IN A34005 2884 6 the the DT A34005 2884 7 Limbe Limbe NNP A34005 2884 8 on on IN A34005 2884 9 the the DT A34005 2884 10 Backside backside NN A34005 2884 11 from from IN A34005 2884 12 the the DT A34005 2884 13 right right JJ A34005 2884 14 edge edge NN A34005 2884 15 , , , A34005 2884 16 and and CC A34005 2884 17 lay lie VBD A34005 2884 18 the the DT A34005 2884 19 thread thread NN A34005 2884 20 over over IN A34005 2884 21 it -PRON- PRP A34005 2884 22 , , , A34005 2884 23 and and CC A34005 2884 24 in in IN A34005 2884 25 the the DT A34005 2884 26 particular particular JJ A34005 2884 27 Tangent Tangent NNP A34005 2884 28 it -PRON- PRP A34005 2884 29 shewes shew VBD A34005 2884 30 the the DT A34005 2884 31 Angle Angle NNP A34005 2884 32 between between IN A34005 2884 33 the the DT A34005 2884 34 Horizon Horizon NNP A34005 2884 35 and and CC A34005 2884 36 six six CD A34005 2884 37 32 32 CD A34005 2884 38 deg deg NN A34005 2884 39 . . . A34005 2885 1 9′ 9′ CD A34005 2885 2 in in IN A34005 2885 3 this this DT A34005 2885 4 Example Example NNP A34005 2885 5 the the DT A34005 2885 6 Complement Complement NNP A34005 2885 7 whereof whereof NN A34005 2885 8 is be VBZ A34005 2885 9 the the DT A34005 2885 10 Angle Angle NNP A34005 2885 11 of of IN A34005 2885 12 12 12 CD A34005 2885 13 and and CC A34005 2885 14 6 6 CD A34005 2885 15 , , , A34005 2885 16 namely namely RB A34005 2885 17 57 57 CD A34005 2885 18 deg deg NN A34005 2885 19 . . . A34005 2886 1 51 51 CD A34005 2886 2 min min NN A34005 2886 3 . . . A34005 2887 1 Also also RB A34005 2887 2 the the DT A34005 2887 3 requisite requisite JJ A34005 2887 4 Arkes arke NNS A34005 2887 5 of of IN A34005 2887 6 a a DT A34005 2887 7 direct direct JJ A34005 2887 8 East East NNP A34005 2887 9 or or CC A34005 2887 10 West West NNP A34005 2887 11 , , , A34005 2887 12 reclining recline VBG A34005 2887 13 or or CC A34005 2887 14 inclining incline VBG A34005 2887 15 Dial Dial NNP A34005 2887 16 may may MD A34005 2887 17 be be VB A34005 2887 18 found find VBN A34005 2887 19 after after IN A34005 2887 20 the the DT A34005 2887 21 same same JJ A34005 2887 22 manner manner NN A34005 2887 23 for for IN A34005 2887 24 this this DT A34005 2887 25 Latit Latit NNP A34005 2887 26 . . . A34005 2888 1 1 1 CD A34005 2888 2 The the DT A34005 2888 3 substiles substile NNS A34005 2888 4 distance distance NN A34005 2888 5 . . . A34005 2889 1 ACcount ACcount NNP A34005 2889 2 the the DT A34005 2889 3 Plaines Plaines NNP A34005 2889 4 Reinclination Reinclination NNP A34005 2889 5 in in IN A34005 2889 6 the the DT A34005 2889 7 Limbe Limbe NNP A34005 2889 8 on on IN A34005 2889 9 the the DT A34005 2889 10 Backside backside NN A34005 2889 11 from from IN A34005 2889 12 the the DT A34005 2889 13 left left JJ A34005 2889 14 edge edge NN A34005 2889 15 , , , A34005 2889 16 and and CC A34005 2889 17 in in RB A34005 2889 18 there there EX A34005 2889 19 lay lie VBD A34005 2889 20 the the DT A34005 2889 21 thread thread NN A34005 2889 22 , , , A34005 2889 23 and and CC A34005 2889 24 in in IN A34005 2889 25 the the DT A34005 2889 26 particular particular JJ A34005 2889 27 Tangent Tangent NNP A34005 2889 28 it -PRON- PRP A34005 2889 29 shewes shew VBD A34005 2889 30 the the DT A34005 2889 31 Arke Arke NNP A34005 2889 32 sought seek VBN A34005 2889 33 . . . A34005 2890 1 So so RB A34005 2890 2 if if IN A34005 2890 3 an an DT A34005 2890 4 East East NNP A34005 2890 5 or or CC A34005 2890 6 West West NNP A34005 2890 7 plain plain JJ A34005 2890 8 recline recline NN A34005 2890 9 or or CC A34005 2890 10 incline incline NN A34005 2890 11 60 60 CD A34005 2890 12 deg deg NN A34005 2890 13 . . . A34005 2891 1 the the DT A34005 2891 2 substiles substiles NNP A34005 2891 3 distance distance NN A34005 2891 4 will will MD A34005 2891 5 be be VB A34005 2891 6 found find VBN A34005 2891 7 to to TO A34005 2891 8 be be VB A34005 2891 9 32 32 CD A34005 2891 10 deg deg NN A34005 2891 11 . . . A34005 2892 1 12′ 12′ CD A34005 2892 2 . . . A34005 2893 1 2 2 CD A34005 2893 2 The the DT A34005 2893 3 stiles stile NNS A34005 2893 4 height height NN A34005 2893 5 . . . A34005 2894 1 Account account VB A34005 2894 2 the the DT A34005 2894 3 Reinclination reinclination NN A34005 2894 4 in in IN A34005 2894 5 the the DT A34005 2894 6 particular particular JJ A34005 2894 7 Sine Sine NNP A34005 2894 8 on on IN A34005 2894 9 the the DT A34005 2894 10 foreside foreside NN A34005 2894 11 and and CC A34005 2894 12 in in IN A34005 2894 13 the the DT A34005 2894 14 Limbe Limbe NNP A34005 2894 15 it -PRON- PRP A34005 2894 16 shewes shew VBD A34005 2894 17 the the DT A34005 2894 18 stiles stile NNS A34005 2894 19 height height NN A34005 2894 20 , , , A34005 2894 21 which which WDT A34005 2894 22 for for IN A34005 2894 23 the the DT A34005 2894 24 former former JJ A34005 2894 25 Example Example NNP A34005 2894 26 will will MD A34005 2894 27 be be VB A34005 2894 28 found find VBN A34005 2894 29 to to TO A34005 2894 30 be be VB A34005 2894 31 42 42 CD A34005 2894 32 deg deg NN A34005 2894 33 . . . A34005 2895 1 41′ 41′ NNP A34005 2895 2 . . . A34005 2896 1 3 3 CD A34005 2896 2 The the DT A34005 2896 3 inclination inclination NN A34005 2896 4 of of IN A34005 2896 5 Meridians Meridians NNPS A34005 2896 6 . . . A34005 2897 1 The the DT A34005 2897 2 Proportion proportion NN A34005 2897 3 is be VBZ A34005 2897 4 , , , A34005 2897 5 As as IN A34005 2897 6 the the DT A34005 2897 7 Sine Sine NNP A34005 2897 8 of of IN A34005 2897 9 the the DT A34005 2897 10 Latitude Latitude NNP A34005 2897 11 , , , A34005 2897 12 to to IN A34005 2897 13 Radius Radius NNP A34005 2897 14 . . . A34005 2898 1 So so RB A34005 2898 2 is be VBZ A34005 2898 3 the the DT A34005 2898 4 sine sine NN A34005 2898 5 of of IN A34005 2898 6 the the DT A34005 2898 7 substiles substiles NNP A34005 2898 8 distance distance NN A34005 2898 9 . . . A34005 2899 1 To to IN A34005 2899 2 the the DT A34005 2899 3 sine sine NN A34005 2899 4 of of IN A34005 2899 5 the the DT A34005 2899 6 inclination inclination NN A34005 2899 7 of of IN A34005 2899 8 Meridians Meridians NNPS A34005 2899 9 , , , A34005 2899 10 when when WRB A34005 2899 11 the the DT A34005 2899 12 substiles substile NNS A34005 2899 13 distance distance NN A34005 2899 14 is be VBZ A34005 2899 15 lesse lesse NNP A34005 2899 16 then then RB A34005 2899 17 the the DT A34005 2899 18 Latitude Latitude NNP A34005 2899 19 of of IN A34005 2899 20 the the DT A34005 2899 21 place place NN A34005 2899 22 it -PRON- PRP A34005 2899 23 may may MD A34005 2899 24 be be VB A34005 2899 25 found find VBN A34005 2899 26 in in IN A34005 2899 27 the the DT A34005 2899 28 particular particular JJ A34005 2899 29 sine sine NN A34005 2899 30 on on IN A34005 2899 31 the the DT A34005 2899 32 foreside foreside NN A34005 2899 33 , , , A34005 2899 34 by by IN A34005 2899 35 the the DT A34005 2899 36 intersection intersection NN A34005 2899 37 of of IN A34005 2899 38 the the DT A34005 2899 39 thread thread NN A34005 2899 40 , , , A34005 2899 41 and and CC A34005 2899 42 for for IN A34005 2899 43 this this DT A34005 2899 44 Example example NN A34005 2899 45 will will MD A34005 2899 46 be be VB A34005 2899 47 42 42 CD A34005 2899 48 deg deg NN A34005 2899 49 . . . A34005 2900 1 53′ 53′ UH A34005 2900 2 . . . A34005 2901 1 4 4 CD A34005 2901 2 The the DT A34005 2901 3 Angle Angle NNP A34005 2901 4 of of IN A34005 2901 5 12 12 CD A34005 2901 6 and and CC A34005 2901 7 6 6 CD A34005 2901 8 . . . A34005 2902 1 Account Account NNP A34005 2902 2 the the DT A34005 2902 3 Complement Complement NNP A34005 2902 4 of of IN A34005 2902 5 the the DT A34005 2902 6 Reinclination reinclination NN A34005 2902 7 in in IN A34005 2902 8 the the DT A34005 2902 9 peculiar peculiar JJ A34005 2902 10 hour hour NN A34005 2902 11 Scale Scale NNP A34005 2902 12 as as IN A34005 2902 13 a a DT A34005 2902 14 sine sine NN A34005 2902 15 , , , A34005 2902 16 and and CC A34005 2902 17 just just RB A34005 2902 18 against against IN A34005 2902 19 it -PRON- PRP A34005 2902 20 in in IN A34005 2902 21 the the DT A34005 2902 22 annexed annex VBN A34005 2902 23 Tangent Tangent NNP A34005 2902 24 stands stand VBZ A34005 2902 25 the the DT A34005 2902 26 Complement Complement NNP A34005 2902 27 of of IN A34005 2902 28 the the DT A34005 2902 29 Angle Angle NNP A34005 2902 30 sought seek VBD A34005 2902 31 , , , A34005 2902 32 in in IN A34005 2902 33 this this DT A34005 2902 34 Example Example NNP A34005 2902 35 the the DT A34005 2902 36 Angle Angle NNP A34005 2902 37 of of IN A34005 2902 38 12 12 CD A34005 2902 39 and and CC A34005 2902 40 6 6 CD A34005 2902 41 is be VBZ A34005 2902 42 68 68 CD A34005 2902 43 deg deg NN A34005 2902 44 . . . A34005 2903 1 20′ 20′ CD A34005 2903 2 . . . A34005 2904 1 In in IN A34005 2904 2 other other JJ A34005 2904 3 Latitudes latitude NNS A34005 2904 4 the the DT A34005 2904 5 Operations Operations NNPS A34005 2904 6 must must MD A34005 2904 7 be be VB A34005 2904 8 performed perform VBN A34005 2904 9 by by IN A34005 2904 10 Proportional Proportional NNP A34005 2904 11 worke worke VBD A34005 2904 12 with with IN A34005 2904 13 the the DT A34005 2904 14 Compasses compass NNS A34005 2904 15 . . . A34005 2905 1 Of of IN A34005 2905 2 the the DT A34005 2905 3 Lines line NNS A34005 2905 4 derived derive VBN A34005 2905 5 from from IN A34005 2905 6 Mr. Mr. NNP A34005 2905 7 Gunters Gunters NNP A34005 2905 8 Sector Sector NNP A34005 2905 9 . . . A34005 2906 1 Such such JJ A34005 2906 2 are be VBP A34005 2906 3 the the DT A34005 2906 4 Lines line NNS A34005 2906 5 of of IN A34005 2906 6 superficies superficie NNS A34005 2906 7 Solids solid NNS A34005 2906 8 , , , A34005 2906 9 & & CC A34005 2906 10 c. c. NN A34005 2906 11 Of of IN A34005 2906 12 the the DT A34005 2906 13 Line Line NNP A34005 2906 14 of of IN A34005 2906 15 Superficies Superficies NNPS A34005 2906 16 or or CC A34005 2906 17 Squares Squares NNPS A34005 2906 18 . . . A34005 2907 1 THe the DT A34005 2907 2 chiefe chiefe JJ A34005 2907 3 uses use NNS A34005 2907 4 of of IN A34005 2907 5 this this DT A34005 2907 6 Line Line NNP A34005 2907 7 joyntly joyntly RB A34005 2907 8 with with IN A34005 2907 9 the the DT A34005 2907 10 Line Line NNP A34005 2907 11 of of IN A34005 2907 12 Lines line NNS A34005 2907 13 in in IN A34005 2907 14 the the DT A34005 2907 15 Limbe Limbe NNP A34005 2907 16 , , , A34005 2907 17 is be VBZ A34005 2907 18 when when WRB A34005 2907 19 a a DT A34005 2907 20 square square JJ A34005 2907 21 number number NN A34005 2907 22 is be VBZ A34005 2907 23 given give VBN A34005 2907 24 to to TO A34005 2907 25 find find VB A34005 2907 26 the the DT A34005 2907 27 Root Root NNP A34005 2907 28 thereof thereof RB A34005 2907 29 , , , A34005 2907 30 or or CC A34005 2907 31 a a DT A34005 2907 32 Root root NN A34005 2907 33 given give VBN A34005 2907 34 to to TO A34005 2907 35 find find VB A34005 2907 36 the the DT A34005 2907 37 square square JJ A34005 2907 38 number number NN A34005 2907 39 thereto thereto NN A34005 2907 40 , , , A34005 2907 41 these these DT A34005 2907 42 Lines line NNS A34005 2907 43 placed place VBD A34005 2907 44 on on IN A34005 2907 45 a a DT A34005 2907 46 quadrant quadrant NN A34005 2907 47 will will MD A34005 2907 48 perform perform VB A34005 2907 49 this this DT A34005 2907 50 some some DT A34005 2907 51 what what WP A34005 2907 52 better well RBR A34005 2907 53 then then RB A34005 2907 54 a a DT A34005 2907 55 Sector Sector NNP A34005 2907 56 , , , A34005 2907 57 because because IN A34005 2907 58 it -PRON- PRP A34005 2907 59 is be VBZ A34005 2907 60 given give VBN A34005 2907 61 by by IN A34005 2907 62 the the DT A34005 2907 63 Intersection intersection NN A34005 2907 64 of of IN A34005 2907 65 the the DT A34005 2907 66 thread thread NN A34005 2907 67 without without IN A34005 2907 68 Compasses Compasses NNPS A34005 2907 69 , , , A34005 2907 70 the the DT A34005 2907 71 properties property NNS A34005 2907 72 of of IN A34005 2907 73 the the DT A34005 2907 74 quadrant quadrant NN A34005 2907 75 casting cast VBG A34005 2907 76 these these DT A34005 2907 77 lines line NNS A34005 2907 78 large large JJ A34005 2907 79 where where WRB A34005 2907 80 on on IN A34005 2907 81 a a DT A34005 2907 82 Sector sector NN A34005 2907 83 they -PRON- PRP A34005 2907 84 would would MD A34005 2907 85 be be VB A34005 2907 86 narrow narrow JJ A34005 2907 87 . . . A34005 2908 1 To to TO A34005 2908 2 find find VB A34005 2908 3 the the DT A34005 2908 4 square square JJ A34005 2908 5 Root root NN A34005 2908 6 of of IN A34005 2908 7 a a DT A34005 2908 8 number number NN A34005 2908 9 . . . A34005 2909 1 The the DT A34005 2909 2 Root Root NNP A34005 2909 3 being be VBG A34005 2909 4 given give VBN A34005 2909 5 to to TO A34005 2909 6 find find VB A34005 2909 7 the the DT A34005 2909 8 Square Square NNP A34005 2909 9 Number Number NNP A34005 2909 10 of of IN A34005 2909 11 that that DT A34005 2909 12 Root Root NNP A34005 2909 13 . . . A34005 2910 1 IN in IN A34005 2910 2 extracting extract VBG A34005 2910 3 the the DT A34005 2910 4 square square JJ A34005 2910 5 Root Root NNP A34005 2910 6 pricks prick NNS A34005 2910 7 must must MD A34005 2910 8 be be VB A34005 2910 9 set set VBN A34005 2910 10 under under IN A34005 2910 11 the the DT A34005 2910 12 first first JJ A34005 2910 13 third third JJ A34005 2910 14 , , , A34005 2910 15 fift fift NN A34005 2910 16 , , , A34005 2910 17 and and CC A34005 2910 18 seventh seventh JJ A34005 2910 19 figure figure NN A34005 2910 20 , , , A34005 2910 21 and and CC A34005 2910 22 so so RB A34005 2910 23 forward forward RB A34005 2910 24 and and CC A34005 2910 25 as as IN A34005 2910 26 many many JJ A34005 2910 27 pricks prick NNS A34005 2910 28 as as IN A34005 2910 29 fall fall VBP A34005 2910 30 to to TO A34005 2910 31 be be VB A34005 2910 32 under under IN A34005 2910 33 the the DT A34005 2910 34 square square JJ A34005 2910 35 number number NN A34005 2910 36 given give VBN A34005 2910 37 , , , A34005 2910 38 so so RB A34005 2910 39 many many JJ A34005 2910 40 figures figure NNS A34005 2910 41 shall shall MD A34005 2910 42 be be VB A34005 2910 43 in in IN A34005 2910 44 the the DT A34005 2910 45 Root Root NNP A34005 2910 46 , , , A34005 2910 47 and and CC A34005 2910 48 accordingly accordingly RB A34005 2910 49 the the DT A34005 2910 50 line line NN A34005 2910 51 of of IN A34005 2910 52 lines line NNS A34005 2910 53 , , , A34005 2910 54 and and CC A34005 2910 55 superficies superficie NNS A34005 2910 56 must must MD A34005 2910 57 vary vary VB A34005 2910 58 in in IN A34005 2910 59 the the DT A34005 2910 60 number number NN A34005 2910 61 they -PRON- PRP A34005 2910 62 represent represent VBP A34005 2910 63 , , , A34005 2910 64 I -PRON- PRP A34005 2910 65 am be VBP A34005 2910 66 very very RB A34005 2910 67 unwilling unwilling JJ A34005 2910 68 to to TO A34005 2910 69 spend spend VB A34005 2910 70 any any DT A34005 2910 71 time time NN A34005 2910 72 about about IN A34005 2910 73 these these DT A34005 2910 74 kind kind NN A34005 2910 75 of of IN A34005 2910 76 Lines line NNS A34005 2910 77 , , , A34005 2910 78 as as IN A34005 2910 79 being be VBG A34005 2910 80 of of IN A34005 2910 81 small small JJ A34005 2910 82 performance performance NN A34005 2910 83 , , , A34005 2910 84 and and CC A34005 2910 85 by by IN A34005 2910 86 my -PRON- PRP$ A34005 2910 87 self self NN A34005 2910 88 and and CC A34005 2910 89 almost almost RB A34005 2910 90 by by IN A34005 2910 91 all all DT A34005 2910 92 men man NNS A34005 2910 93 accounted account VBD A34005 2910 94 meere meere NNP A34005 2910 95 toyes toye NNS A34005 2910 96 . . . A34005 2911 1 If if IN A34005 2911 2 a a DT A34005 2911 3 number number NN A34005 2911 4 be be VB A34005 2911 5 given give VBN A34005 2911 6 in in IN A34005 2911 7 the the DT A34005 2911 8 superficies superficie NNS A34005 2911 9 , , , A34005 2911 10 the the DT A34005 2911 11 thread thread NN A34005 2911 12 in in IN A34005 2911 13 the the DT A34005 2911 14 lines line NNS A34005 2911 15 sheweth sheweth VBP A34005 2911 16 the the DT A34005 2911 17 Root Root NNP A34005 2911 18 of of IN A34005 2911 19 it -PRON- PRP A34005 2911 20 , , , A34005 2911 21 and and CC A34005 2911 22 the the DT A34005 2911 23 contrary contrary NN A34005 2911 24 , , , A34005 2911 25 if if IN A34005 2911 26 a a DT A34005 2911 27 number number NN A34005 2911 28 be be VB A34005 2911 29 given give VBN A34005 2911 30 in in IN A34005 2911 31 the the DT A34005 2911 32 lines line NNS A34005 2911 33 the the DT A34005 2911 34 thread thread NN A34005 2911 35 laid lay VBN A34005 2911 36 over over IN A34005 2911 37 it -PRON- PRP A34005 2911 38 intersects intersect VBZ A34005 2911 39 the the DT A34005 2911 40 Square Square NNP A34005 2911 41 thereof thereof RB A34005 2911 42 . . . A34005 2912 1 The the DT A34005 2912 2 performance performance NN A34005 2912 3 thereof thereof IN A34005 2912 4 by by IN A34005 2912 5 these these DT A34005 2912 6 lines line NNS A34005 2912 7 is be VBZ A34005 2912 8 so so RB A34005 2912 9 deficient deficient JJ A34005 2912 10 that that IN A34005 2912 11 I -PRON- PRP A34005 2912 12 shall shall MD A34005 2912 13 give give VB A34005 2912 14 no no DT A34005 2912 15 Example example NN A34005 2912 16 of of IN A34005 2912 17 it -PRON- PRP A34005 2912 18 . . . A34005 2913 1 When when WRB A34005 2913 2 a a DT A34005 2913 3 number number NN A34005 2913 4 is be VBZ A34005 2913 5 given give VBN A34005 2913 6 to to TO A34005 2913 7 find find VB A34005 2913 8 the the DT A34005 2913 9 square square NN A34005 2913 10 thereof thereof RB A34005 2913 11 , , , A34005 2913 12 if if IN A34005 2913 13 not not RB A34005 2913 14 to to TO A34005 2913 15 large large VB A34005 2913 16 the the DT A34005 2913 17 Reader reader NN A34005 2913 18 may may MD A34005 2913 19 correct correct VB A34005 2913 20 the the DT A34005 2913 21 last last JJ A34005 2913 22 figure figure NN A34005 2913 23 of of IN A34005 2913 24 it -PRON- PRP A34005 2913 25 by by IN A34005 2913 26 multiplying multiply VBG A34005 2913 27 it -PRON- PRP A34005 2913 28 in in IN A34005 2913 29 his -PRON- PRP$ A34005 2913 30 memory memory NN A34005 2913 31 . . . A34005 2914 1 To to IN A34005 2914 2 three three CD A34005 2914 3 numbers number NNS A34005 2914 4 given give VBN A34005 2914 5 to to TO A34005 2914 6 find find VB A34005 2914 7 a a DT A34005 2914 8 fourth fourth JJ A34005 2914 9 in in IN A34005 2914 10 a a DT A34005 2914 11 Duplicated duplicated JJ A34005 2914 12 Proportion proportion NN A34005 2914 13 . . . A34005 2915 1 That that DT A34005 2915 2 is be VBZ A34005 2915 3 to to TO A34005 2915 4 worke worke VB A34005 2915 5 a a DT A34005 2915 6 Proportion proportion NN A34005 2915 7 between between IN A34005 2915 8 Numbers Numbers NNPS A34005 2915 9 and and CC A34005 2915 10 Squares Squares NNPS A34005 2915 11 . . . A34005 2916 1 Example example NN A34005 2916 2 . . . A34005 2917 1 If if IN A34005 2917 2 the the DT A34005 2917 3 Diameter Diameter NNP A34005 2917 4 of of IN A34005 2917 5 a a DT A34005 2917 6 Circle Circle NNP A34005 2917 7 whose whose WP$ A34005 2917 8 Area Area NNP A34005 2917 9 is be VBZ A34005 2917 10 154 154 CD A34005 2917 11 be be NN A34005 2917 12 14 14 CD A34005 2917 13 , , , A34005 2917 14 what what WP A34005 2917 15 shall shall MD A34005 2917 16 the the DT A34005 2917 17 Diameter Diameter NNP A34005 2917 18 of of IN A34005 2917 19 that that DT A34005 2917 20 Circle Circle NNP A34005 2917 21 be be VB A34005 2917 22 whose whose WP$ A34005 2917 23 Area area NN A34005 2917 24 is be VBZ A34005 2917 25 616 616 CD A34005 2917 26 . . . A34005 2918 1 Example example NN A34005 2918 2 . . . A34005 2919 1 Lay lay VB A34005 2919 2 the the DT A34005 2919 3 thread thread NN A34005 2919 4 over over IN A34005 2919 5 616 616 CD A34005 2919 6 in in IN A34005 2919 7 the the DT A34005 2919 8 superficies superficie NNS A34005 2919 9 , , , A34005 2919 10 and and CC A34005 2919 11 from from IN A34005 2919 12 14 14 CD A34005 2919 13 in in IN A34005 2919 14 the the DT A34005 2919 15 equal equal JJ A34005 2919 16 parts part NNS A34005 2919 17 , , , A34005 2919 18 take take VB A34005 2919 19 the the DT A34005 2919 20 nearest near JJS A34005 2919 21 distance distance NN A34005 2919 22 to to IN A34005 2919 23 it -PRON- PRP A34005 2919 24 , , , A34005 2919 25 then then RB A34005 2919 26 lay lay VB A34005 2919 27 the the DT A34005 2919 28 thread thread NN A34005 2919 29 to to IN A34005 2919 30 154 154 CD A34005 2919 31 in in IN A34005 2919 32 the the DT A34005 2919 33 superficies superficie NNS A34005 2919 34 , , , A34005 2919 35 and and CC A34005 2919 36 enter enter VB A34005 2919 37 the the DT A34005 2919 38 former former JJ A34005 2919 39 extent extent NN A34005 2919 40 between between IN A34005 2919 41 the the DT A34005 2919 42 thread thread NN A34005 2919 43 and and CC A34005 2919 44 the the DT A34005 2919 45 Scale Scale NNP A34005 2919 46 , , , A34005 2919 47 and and CC A34005 2919 48 the the DT A34005 2919 49 foot foot NN A34005 2919 50 of of IN A34005 2919 51 the the DT A34005 2919 52 Compasses Compasses NNPS A34005 2919 53 will will MD A34005 2919 54 rest rest VB A34005 2919 55 upon upon IN A34005 2919 56 28 28 CD A34005 2919 57 the the DT A34005 2919 58 diameter diameter NN A34005 2919 59 sought seek VBD A34005 2919 60 . . . A34005 2920 1 To to TO A34005 2920 2 find find VB A34005 2920 3 a a DT A34005 2920 4 Proportion proportion NN A34005 2920 5 between between IN A34005 2920 6 two two CD A34005 2920 7 or or CC A34005 2920 8 more more JJR A34005 2920 9 like like IN A34005 2920 10 superficies superficie NNS A34005 2920 11 . . . A34005 2921 1 ADmit admit VB A34005 2921 2 there there EX A34005 2921 3 be be VB A34005 2921 4 two two CD A34005 2921 5 Circles Circles NNPS A34005 2921 6 , , , A34005 2921 7 and and CC A34005 2921 8 I -PRON- PRP A34005 2921 9 would would MD A34005 2921 10 know know VB A34005 2921 11 what what WP A34005 2921 12 Proportion proportion NN A34005 2921 13 their -PRON- PRP$ A34005 2921 14 Areas area NNS A34005 2921 15 bear bear VBP A34005 2921 16 to to IN A34005 2921 17 each each DT A34005 2921 18 other other JJ A34005 2921 19 , , , A34005 2921 20 in in IN A34005 2921 21 this this DT A34005 2921 22 case case NN A34005 2921 23 the the DT A34005 2921 24 proper proper JJ A34005 2921 25 use use NN A34005 2921 26 of of IN A34005 2921 27 a a DT A34005 2921 28 Line Line NNP A34005 2921 29 of of IN A34005 2921 30 superficies superficie NNS A34005 2921 31 would would MD A34005 2921 32 be be VB A34005 2921 33 to to TO A34005 2921 34 have have VB A34005 2921 35 it -PRON- PRP A34005 2921 36 on on IN A34005 2921 37 a a DT A34005 2921 38 ruler ruler NN A34005 2921 39 , , , A34005 2921 40 and and CC A34005 2921 41 to to TO A34005 2921 42 measure measure VB A34005 2921 43 the the DT A34005 2921 44 lengths length NNS A34005 2921 45 of of IN A34005 2921 46 their -PRON- PRP$ A34005 2921 47 like like JJ A34005 2921 48 sides side NNS A34005 2921 49 , , , A34005 2921 50 for for IN A34005 2921 51 Circles circle NNS A34005 2921 52 the the DT A34005 2921 53 lengths length NNS A34005 2921 54 of of IN A34005 2921 55 their -PRON- PRP$ A34005 2921 56 Diameters diameter NNS A34005 2921 57 upon upon IN A34005 2921 58 it -PRON- PRP A34005 2921 59 , , , A34005 2921 60 and and CC A34005 2921 61 then then RB A34005 2921 62 I -PRON- PRP A34005 2921 63 say say VBP A34005 2921 64 , , , A34005 2921 65 the the DT A34005 2921 66 numbers number NNS A34005 2921 67 found find VBN A34005 2921 68 on on IN A34005 2921 69 the the DT A34005 2921 70 superficies superficie NNS A34005 2921 71 beare beare VBP A34005 2921 72 such such JJ A34005 2921 73 Proportion proportion NN A34005 2921 74 each each DT A34005 2921 75 to to IN A34005 2921 76 other other JJ A34005 2921 77 as as IN A34005 2921 78 the the DT A34005 2921 79 Areas Areas NNPS A34005 2921 80 or or CC A34005 2921 81 superficial superficial JJ A34005 2921 82 contents content NNS A34005 2921 83 , , , A34005 2921 84 and and CC A34005 2921 85 for for IN A34005 2921 86 small small JJ A34005 2921 87 quantities quantity NNS A34005 2921 88 may may MD A34005 2921 89 be be VB A34005 2921 90 done do VBN A34005 2921 91 on on IN A34005 2921 92 the the DT A34005 2921 93 quadrant quadrant NN A34005 2921 94 by by IN A34005 2921 95 entring entre VBG A34005 2921 96 downe downe NNP A34005 2921 97 the the DT A34005 2921 98 larger large JJR A34005 2921 99 extent extent NN A34005 2921 100 of of IN A34005 2921 101 the the DT A34005 2921 102 Compasses compass NNS A34005 2921 103 on on IN A34005 2921 104 the the DT A34005 2921 105 Line Line NNP A34005 2921 106 of of IN A34005 2921 107 Lines line NNS A34005 2921 108 from from IN A34005 2921 109 the the DT A34005 2921 110 Center Center NNP A34005 2921 111 , , , A34005 2921 112 and and CC A34005 2921 113 mind mind VB A34005 2921 114 the the DT A34005 2921 115 point point NN A34005 2921 116 of of IN A34005 2921 117 limitation limitation NN A34005 2921 118 , , , A34005 2921 119 enter enter VBP A34005 2921 120 then then RB A34005 2921 121 the the DT A34005 2921 122 other other JJ A34005 2921 123 extent extent NN A34005 2921 124 on on IN A34005 2921 125 the the DT A34005 2921 126 point point NN A34005 2921 127 of of IN A34005 2921 128 limitation limitation NN A34005 2921 129 , , , A34005 2921 130 and and CC A34005 2921 131 lay lie VBD A34005 2921 132 the the DT A34005 2921 133 thread thread NN A34005 2921 134 to to IN A34005 2921 135 the the DT A34005 2921 136 other other JJ A34005 2921 137 foot foot NN A34005 2921 138 , , , A34005 2921 139 find find VB A34005 2921 140 what what WDT A34005 2921 141 number number NN A34005 2921 142 it -PRON- PRP A34005 2921 143 cuts cut VBZ A34005 2921 144 in in IN A34005 2921 145 the the DT A34005 2921 146 superficies superficie NNS A34005 2921 147 , , , A34005 2921 148 and and CC A34005 2921 149 the the DT A34005 2921 150 greater great JJR A34005 2921 151 shall shall MD A34005 2921 152 beare beare VB A34005 2921 153 such such JJ A34005 2921 154 Proportion proportion NN A34005 2921 155 to to IN A34005 2921 156 the the DT A34005 2921 157 lesser less JJR A34005 2921 158 as as IN A34005 2921 159 100 100 CD A34005 2921 160 , , , A34005 2921 161 & & CC A34005 2921 162 c. c. NNP A34005 2921 163 the the DT A34005 2921 164 length length NN A34005 2921 165 of of IN A34005 2921 166 the the DT A34005 2921 167 whole whole JJ A34005 2921 168 line line NN A34005 2921 169 doth doth JJ A34005 2921 170 to to IN A34005 2921 171 the the DT A34005 2921 172 parts part NNS A34005 2921 173 cut cut VBD A34005 2921 174 . . . A34005 2922 1 The the DT A34005 2922 2 Proportion proportion NN A34005 2922 3 that that WDT A34005 2922 4 two two CD A34005 2922 5 superficies superficie NNS A34005 2922 6 beare beare VBP A34005 2922 7 each each DT A34005 2922 8 to to IN A34005 2922 9 other other JJ A34005 2922 10 is be VBZ A34005 2922 11 the the DT A34005 2922 12 same same JJ A34005 2922 13 that that IN A34005 2922 14 the the DT A34005 2922 15 squares square NNS A34005 2922 16 of of IN A34005 2922 17 their -PRON- PRP$ A34005 2922 18 like like JJ A34005 2922 19 sides side NNS A34005 2922 20 , , , A34005 2922 21 and and CC A34005 2922 22 therefore therefore RB A34005 2922 23 their -PRON- PRP$ A34005 2922 24 sides side NNS A34005 2922 25 may may MD A34005 2922 26 be be VB A34005 2922 27 measured measure VBN A34005 2922 28 either either CC A34005 2922 29 in in IN A34005 2922 30 foot foot NN A34005 2922 31 or or CC A34005 2922 32 inch inch NN A34005 2922 33 measure measure NN A34005 2922 34 , , , A34005 2922 35 and and CC A34005 2922 36 then then RB A34005 2922 37 the the DT A34005 2922 38 Squares square NNS A34005 2922 39 taken take VBN A34005 2922 40 out out RP A34005 2922 41 as as IN A34005 2922 42 before before IN A34005 2922 43 shewed shew VBN A34005 2922 44 . . . A34005 2923 1 The the DT A34005 2923 2 line line NN A34005 2923 3 of of IN A34005 2923 4 superficies superficie NNS A34005 2923 5 serves serve VBZ A34005 2923 6 for for IN A34005 2923 7 the the DT A34005 2923 8 reducing reducing NN A34005 2923 9 of of IN A34005 2923 10 Plots Plots NNPS A34005 2923 11 to to IN A34005 2923 12 any any DT A34005 2923 13 proportion proportion NN A34005 2923 14 . . . A34005 2924 1 ADmit admit VB A34005 2924 2 a a DT A34005 2924 3 Plot Plot NNP A34005 2924 4 of of IN A34005 2924 5 a a DT A34005 2924 6 piece piece NN A34005 2924 7 of of IN A34005 2924 8 ground ground NN A34005 2924 9 being be VBG A34005 2924 10 cast cast VBN A34005 2924 11 up up RP A34005 2924 12 containes containe NNS A34005 2924 13 364 364 CD A34005 2924 14 Acres acre NNS A34005 2924 15 , , , A34005 2924 16 and and CC A34005 2924 17 it -PRON- PRP A34005 2924 18 were be VBD A34005 2924 19 required require VBN A34005 2924 20 to to TO A34005 2924 21 draw draw VB A34005 2924 22 another another DT A34005 2924 23 Plot Plot NNP A34005 2924 24 which which WDT A34005 2924 25 being be VBG A34005 2924 26 cast cast VBN A34005 2924 27 up up RP A34005 2924 28 by by IN A34005 2924 29 the the DT A34005 2924 30 same same JJ A34005 2924 31 Scale Scale NNP A34005 2924 32 should should MD A34005 2924 33 containe containe VB A34005 2924 34 but but CC A34005 2924 35 a a DT A34005 2924 36 quarter quarter NN A34005 2924 37 so so RB A34005 2924 38 much much RB A34005 2924 39 , , , A34005 2924 40 and and CC A34005 2924 41 let let VB A34005 2924 42 one one CD A34005 2924 43 side side NN A34005 2924 44 of of IN A34005 2924 45 the the DT A34005 2924 46 said say VBN A34005 2924 47 Plot plot NN A34005 2924 48 be be VB A34005 2924 49 60 60 CD A34005 2924 50 inches inch NNS A34005 2924 51 , , , A34005 2924 52 against against IN A34005 2924 53 60 60 CD A34005 2924 54 in in IN A34005 2924 55 the the DT A34005 2924 56 lines line NNS A34005 2924 57 , , , A34005 2924 58 the the DT A34005 2924 59 square square NN A34005 2924 60 of of IN A34005 2924 61 it -PRON- PRP A34005 2924 62 will will MD A34005 2924 63 be be VB A34005 2924 64 found find VBN A34005 2924 65 to to TO A34005 2924 66 be be VB A34005 2924 67 3600 3600 CD A34005 2924 68 , , , A34005 2924 69 and and CC A34005 2924 70 the the DT A34005 2924 71 fourth fourth JJ A34005 2924 72 part part NN A34005 2924 73 hereof hereof NNP A34005 2924 74 would would MD A34005 2924 75 be be VB A34005 2924 76 900 900 CD A34005 2924 77 , , , A34005 2924 78 which which WDT A34005 2924 79 account account VBP A34005 2924 80 in in IN A34005 2924 81 the the DT A34005 2924 82 superficies superficie NNS A34005 2924 83 and and CC A34005 2924 84 you -PRON- PRP A34005 2924 85 will will MD A34005 2924 86 find find VB A34005 2924 87 the the DT A34005 2924 88 Square Square NNP A34005 2924 89 Root Root NNP A34005 2924 90 of of IN A34005 2924 91 it -PRON- PRP A34005 2924 92 to to TO A34005 2924 93 be be VB A34005 2924 94 30 30 CD A34005 2924 95 , , , A34005 2924 96 and and CC A34005 2924 97 so so RB A34005 2924 98 many many JJ A34005 2924 99 inches inch NNS A34005 2924 100 must must MD A34005 2924 101 be be VB A34005 2924 102 the the DT A34005 2924 103 like like JJ A34005 2924 104 side side NN A34005 2924 105 of of IN A34005 2924 106 the the DT A34005 2924 107 lesser less JJR A34005 2924 108 Plot Plot NNP A34005 2924 109 if if IN A34005 2924 110 being be VBG A34005 2924 111 cast cast VBN A34005 2924 112 up up RP A34005 2924 113 by by IN A34005 2924 114 the the DT A34005 2924 115 same same JJ A34005 2924 116 Scale scale NN A34005 2924 117 it -PRON- PRP A34005 2924 118 should should MD A34005 2924 119 containe containe VB A34005 2924 120 but but CC A34005 2924 121 ¼ ¼ RB A34005 2924 122 of of IN A34005 2924 123 what what WP A34005 2924 124 it -PRON- PRP A34005 2924 125 did do VBD A34005 2924 126 before before RB A34005 2924 127 . . . A34005 2925 1 If if IN A34005 2925 2 the the DT A34005 2925 3 line line NN A34005 2925 4 of of IN A34005 2925 5 Superficies superficie NNS A34005 2925 6 were be VBD A34005 2925 7 on on IN A34005 2925 8 a a DT A34005 2925 9 streight streight JJ A34005 2925 10 ruler ruler NN A34005 2925 11 , , , A34005 2925 12 then then RB A34005 2925 13 to to TO A34005 2925 14 perform perform VB A34005 2925 15 such such PDT A34005 2925 16 a a DT A34005 2925 17 Proposition Proposition NNP A34005 2925 18 as as IN A34005 2925 19 this this DT A34005 2925 20 , , , A34005 2925 21 would would MD A34005 2925 22 be be VB A34005 2925 23 to to TO A34005 2925 24 measure measure VB A34005 2925 25 therewith therewith NNP A34005 2925 26 the the DT A34005 2925 27 side side NN A34005 2925 28 of of IN A34005 2925 29 the the DT A34005 2925 30 Plot Plot NNP A34005 2925 31 given give VBN A34005 2925 32 , , , A34005 2925 33 minding mind VBG A34005 2925 34 what what WDT A34005 2925 35 number number NN A34005 2925 36 it -PRON- PRP A34005 2925 37 reaches reach VBZ A34005 2925 38 to to IN A34005 2925 39 in in IN A34005 2925 40 the the DT A34005 2925 41 Superficies Superficies NNPS A34005 2925 42 , , , A34005 2925 43 the the DT A34005 2925 44 fourth fourth JJ A34005 2925 45 part part NN A34005 2925 46 of of IN A34005 2925 47 the the DT A34005 2925 48 said say VBN A34005 2925 49 Number Number NNP A34005 2925 50 being be VBG A34005 2925 51 reckoned reckon VBN A34005 2925 52 on on IN A34005 2925 53 the the DT A34005 2925 54 Superficies Superficies NNPS A34005 2925 55 , , , A34005 2925 56 and and CC A34005 2925 57 thence thence NN A34005 2925 58 taken take VBN A34005 2925 59 shall shall MD A34005 2925 60 be be VB A34005 2925 61 the the DT A34005 2925 62 length length NN A34005 2925 63 of of IN A34005 2925 64 the the DT A34005 2925 65 side side NN A34005 2925 66 in in IN A34005 2925 67 the the DT A34005 2925 68 Proportion Proportion NNP A34005 2925 69 required require VBN A34005 2925 70 . . . A34005 2926 1 Of of IN A34005 2926 2 the the DT A34005 2926 3 Line Line NNP A34005 2926 4 of of IN A34005 2926 5 Solids solid NNS A34005 2926 6 . . . A34005 2927 1 IF if IN A34005 2927 2 a a DT A34005 2927 3 number number NN A34005 2927 4 be be VB A34005 2927 5 duly duly RB A34005 2927 6 estimated estimate VBN A34005 2927 7 in in IN A34005 2927 8 the the DT A34005 2927 9 said say VBN A34005 2927 10 line line NN A34005 2927 11 , , , A34005 2927 12 and and CC A34005 2927 13 the the DT A34005 2927 14 thread thread NN A34005 2927 15 laid lay VBN A34005 2927 16 over over IN A34005 2927 17 it -PRON- PRP A34005 2927 18 , , , A34005 2927 19 it -PRON- PRP A34005 2927 20 will will MD A34005 2927 21 in in IN A34005 2927 22 the the DT A34005 2927 23 line line NN A34005 2927 24 of of IN A34005 2927 25 lines line NNS A34005 2927 26 shew shew VBP A34005 2927 27 the the DT A34005 2927 28 cube cube NNP A34005 2927 29 Root Root NNP A34005 2927 30 of of IN A34005 2927 31 that that DT A34005 2927 32 number number NN A34005 2927 33 , , , A34005 2927 34 and and CC A34005 2927 35 the the DT A34005 2927 36 converse converse NN A34005 2927 37 the the DT A34005 2927 38 Root Root NNP A34005 2927 39 being be VBG A34005 2927 40 assigned assign VBN A34005 2927 41 , , , A34005 2927 42 the the DT A34005 2927 43 Cube Cube NNP A34005 2927 44 may may MD A34005 2927 45 be be VB A34005 2927 46 found find VBN A34005 2927 47 , , , A34005 2927 48 but but CC A34005 2927 49 by by IN A34005 2927 50 reason reason NN A34005 2927 51 of of IN A34005 2927 52 the the DT A34005 2927 53 sorry sorry JJ A34005 2927 54 performance performance NN A34005 2927 55 of of IN A34005 2927 56 these these DT A34005 2927 57 Lines line NNS A34005 2927 58 I -PRON- PRP A34005 2927 59 shall shall MD A34005 2927 60 spend spend VB A34005 2927 61 no no DT A34005 2927 62 time time NN A34005 2927 63 about about IN A34005 2927 64 it -PRON- PRP A34005 2927 65 , , , A34005 2927 66 if if IN A34005 2927 67 this this DT A34005 2927 68 line line NN A34005 2927 69 be be VB A34005 2927 70 placed place VBN A34005 2927 71 on on IN A34005 2927 72 a a DT A34005 2927 73 loose loose JJ A34005 2927 74 Ruler ruler NN A34005 2927 75 , , , A34005 2927 76 and and CC A34005 2927 77 the the DT A34005 2927 78 like like JJ A34005 2927 79 sides side NNS A34005 2927 80 of of IN A34005 2927 81 two two CD A34005 2927 82 like like IN A34005 2927 83 Solids solid NNS A34005 2927 84 be be VB A34005 2927 85 measured measure VBN A34005 2927 86 therewith therewith NNP A34005 2927 87 , , , A34005 2927 88 those those DT A34005 2927 89 Solids solid NNS A34005 2927 90 shall shall MD A34005 2927 91 beare beare VB A34005 2927 92 such such JJ A34005 2927 93 Proportion proportion NN A34005 2927 94 in in IN A34005 2927 95 their -PRON- PRP$ A34005 2927 96 contents content NNS A34005 2927 97 each each DT A34005 2927 98 to to IN A34005 2927 99 other other JJ A34005 2927 100 as as IN A34005 2927 101 the the DT A34005 2927 102 measured measure VBN A34005 2927 103 lengths length NNS A34005 2927 104 on on IN A34005 2927 105 the the DT A34005 2927 106 Solids solid NNS A34005 2927 107 . . . A34005 2928 1 Three three CD A34005 2928 2 Numbers number NNS A34005 2928 3 being be VBG A34005 2928 4 given give VBN A34005 2928 5 to to TO A34005 2928 6 find find VB A34005 2928 7 the the DT A34005 2928 8 fourth fourth JJ A34005 2928 9 in in IN A34005 2928 10 a a DT A34005 2928 11 Duplicated duplicated JJ A34005 2928 12 Proportion proportion NN A34005 2928 13 . . . A34005 2929 1 Example example NN A34005 2929 2 . . . A34005 2930 1 IF if IN A34005 2930 2 a a DT A34005 2930 3 Bullet Bullet NNP A34005 2930 4 of of IN A34005 2930 5 4 4 CD A34005 2930 6 inches inch NNS A34005 2930 7 Diameter Diameter NNP A34005 2930 8 weigh weigh VBP A34005 2930 9 9 9 CD A34005 2930 10 pound pound NN A34005 2930 11 , , , A34005 2930 12 what what WP A34005 2930 13 shall shall MD A34005 2930 14 a a DT A34005 2930 15 Bullet Bullet NNP A34005 2930 16 of of IN A34005 2930 17 8 8 CD A34005 2930 18 inches inch NNS A34005 2930 19 Diameter Diameter NNP A34005 2930 20 weigh weigh NN A34005 2930 21 ? ? . A34005 2931 1 Answer Answer NNP A34005 2931 2 72 72 CD A34005 2931 3 pounds pound NNS A34005 2931 4 . . . A34005 2932 1 In in IN A34005 2932 2 this this DT A34005 2932 3 case case NN A34005 2932 4 let let VBD A34005 2932 5 the the DT A34005 2932 6 whole whole JJ A34005 2932 7 line line NN A34005 2932 8 of of IN A34005 2932 9 Solids solid NNS A34005 2932 10 represent represent VBP A34005 2932 11 100 100 CD A34005 2932 12 , , , A34005 2932 13 alwayes alwaye NNS A34005 2932 14 the the DT A34005 2932 15 Solid solid JJ A34005 2932 16 content content NN A34005 2932 17 whether whether IN A34005 2932 18 given give VBN A34005 2932 19 or or CC A34005 2932 20 sought seek VBN A34005 2932 21 , , , A34005 2932 22 must must MD A34005 2932 23 be be VB A34005 2932 24 accounted account VBN A34005 2932 25 in in IN A34005 2932 26 the the DT A34005 2932 27 line line NN A34005 2932 28 of of IN A34005 2932 29 Solids Solids NNP A34005 2932 30 , , , A34005 2932 31 and and CC A34005 2932 32 the the DT A34005 2932 33 Sides Sides NNPS A34005 2932 34 or or CC A34005 2932 35 Diameters Diameters NNPS A34005 2932 36 in in IN A34005 2932 37 the the DT A34005 2932 38 Equall Equall NNP A34005 2932 39 parts part NNS A34005 2932 40 . . . A34005 2933 1 Lay lay VB A34005 2933 2 the the DT A34005 2933 3 thread thread NN A34005 2933 4 to to IN A34005 2933 5 9 9 CD A34005 2933 6 in in IN A34005 2933 7 the the DT A34005 2933 8 line line NN A34005 2933 9 of of IN A34005 2933 10 Solids Solids NNP A34005 2933 11 , , , A34005 2933 12 and and CC A34005 2933 13 from from IN A34005 2933 14 8 8 CD A34005 2933 15 in in IN A34005 2933 16 the the DT A34005 2933 17 inches inch NNS A34005 2933 18 take take VB A34005 2933 19 the the DT A34005 2933 20 nearest near JJS A34005 2933 21 distance distance NN A34005 2933 22 to to IN A34005 2933 23 it -PRON- PRP A34005 2933 24 , , , A34005 2933 25 enter enter VB A34005 2933 26 one one CD A34005 2933 27 foot foot NN A34005 2933 28 of of IN A34005 2933 29 that that DT A34005 2933 30 extent extent NN A34005 2933 31 at at IN A34005 2933 32 4 4 CD A34005 2933 33 in in IN A34005 2933 34 the the DT A34005 2933 35 inches inch NNS A34005 2933 36 , , , A34005 2933 37 and and CC A34005 2933 38 lay lie VBD A34005 2933 39 the the DT A34005 2933 40 thread thread NN A34005 2933 41 to to IN A34005 2933 42 the the DT A34005 2933 43 other other JJ A34005 2933 44 foot foot NN A34005 2933 45 : : : A34005 2933 46 and and CC A34005 2933 47 it -PRON- PRP A34005 2933 48 will will MD A34005 2933 49 lye lye VB A34005 2933 50 over over RB A34005 2933 51 72 72 CD A34005 2933 52 in in IN A34005 2933 53 the the DT A34005 2933 54 Solids solid NNS A34005 2933 55 for for IN A34005 2933 56 the the DT A34005 2933 57 weight weight NN A34005 2933 58 of of IN A34005 2933 59 the the DT A34005 2933 60 Bullet Bullet NNP A34005 2933 61 sought seek VBD A34005 2933 62 . . . A34005 2934 1 An an DT A34005 2934 2 Example example NN A34005 2934 3 of of IN A34005 2934 4 the the DT A34005 2934 5 Converse Converse NNP A34005 2934 6 . . . A34005 2935 1 If if IN A34005 2935 2 a a DT A34005 2935 3 Bullet Bullet NNP A34005 2935 4 whose whose WP$ A34005 2935 5 Diameter diameter NN A34005 2935 6 is be VBZ A34005 2935 7 4 4 CD A34005 2935 8 Inches inch NNS A34005 2935 9 weigh weigh VB A34005 2935 10 9 9 CD A34005 2935 11 pound pound NN A34005 2935 12 , , , A34005 2935 13 another another DT A34005 2935 14 Bullet Bullet NNP A34005 2935 15 whose whose WP$ A34005 2935 16 weight weight NN A34005 2935 17 is be VBZ A34005 2935 18 40 40 CD A34005 2935 19 pound pound NN A34005 2935 20 , , , A34005 2935 21 what what WP A34005 2935 22 shall shall MD A34005 2935 23 be be VB A34005 2935 24 the the DT A34005 2935 25 Diameter Diameter NNP A34005 2935 26 of of IN A34005 2935 27 it -PRON- PRP A34005 2935 28 . . . A34005 2936 1 Lay lay VB A34005 2936 2 the the DT A34005 2936 3 thread thread NN A34005 2936 4 to to IN A34005 2936 5 40 40 CD A34005 2936 6 in in IN A34005 2936 7 the the DT A34005 2936 8 Solids solid NNS A34005 2936 9 , , , A34005 2936 10 and and CC A34005 2936 11 from from IN A34005 2936 12 4 4 CD A34005 2936 13 Inches inch NNS A34005 2936 14 in in IN A34005 2936 15 the the DT A34005 2936 16 lines line NNS A34005 2936 17 take take VBP A34005 2936 18 the the DT A34005 2936 19 nearest near JJS A34005 2936 20 distance distance NN A34005 2936 21 to to IN A34005 2936 22 it -PRON- PRP A34005 2936 23 . . . A34005 2937 1 Then then RB A34005 2937 2 lay lay VB A34005 2937 3 the the DT A34005 2937 4 thread thread NN A34005 2937 5 to to IN A34005 2937 6 9 9 CD A34005 2937 7 in in IN A34005 2937 8 the the DT A34005 2937 9 Solids solid NNS A34005 2937 10 , , , A34005 2937 11 and and CC A34005 2937 12 enter enter VB A34005 2937 13 the the DT A34005 2937 14 said say VBN A34005 2937 15 extent extent NN A34005 2937 16 at at IN A34005 2937 17 the the DT A34005 2937 18 equal equal JJ A34005 2937 19 Scale Scale NNP A34005 2937 20 , , , A34005 2937 21 so so IN A34005 2937 22 that that IN A34005 2937 23 the the DT A34005 2937 24 other other JJ A34005 2937 25 foot foot NN A34005 2937 26 turned turn VBD A34005 2937 27 about about IN A34005 2937 28 may may NNP A34005 2937 29 but but CC A34005 2937 30 just just RB A34005 2937 31 touch touch VB A34005 2937 32 the the DT A34005 2937 33 thread thread NN A34005 2937 34 , , , A34005 2937 35 and and CC A34005 2937 36 it -PRON- PRP A34005 2937 37 it -PRON- PRP A34005 2937 38 will will MD A34005 2937 39 rest rest VB A34005 2937 40 at at IN A34005 2937 41 6½ 6½ NNP A34005 2937 42 Inches Inches NNP A34005 2937 43 nearest near JJS A34005 2937 44 , , , A34005 2937 45 which which WDT A34005 2937 46 is be VBZ A34005 2937 47 the the DT A34005 2937 48 Diameter Diameter NNP A34005 2937 49 sought seek VBN A34005 2937 50 . . . A34005 2938 1 Of of IN A34005 2938 2 the the DT A34005 2938 3 Line Line NNP A34005 2938 4 of of IN A34005 2938 5 inscribed inscribed JJ A34005 2938 6 Bodies body NNS A34005 2938 7 . . . A34005 2939 1 This this DT A34005 2939 2 Line Line NNP A34005 2939 3 hath hath NN A34005 2939 4 these these DT A34005 2939 5 letters letter NNS A34005 2939 6 set set VBD A34005 2939 7 to to IN A34005 2939 8 it -PRON- PRP A34005 2939 9 . . . A34005 2940 1 D D NNP A34005 2940 2 Signifying signify VBG A34005 2940 3 the the DT A34005 2940 4 Sides side NNS A34005 2940 5 of of IN A34005 2940 6 a a DT A34005 2940 7 Dodecahedron Dodecahedron NNP A34005 2940 8 S S NNP A34005 2940 9 Signifying signify VBG A34005 2940 10 the the DT A34005 2940 11 Sides side NNS A34005 2940 12 of of IN A34005 2940 13 a a DT A34005 2940 14 _ _ NNP A34005 2940 15 _ _ NNP A34005 2940 16 _ _ NNP A34005 2940 17 _ _ NNP A34005 2940 18 _ _ NNP A34005 2940 19 I -PRON- PRP A34005 2940 20 Signifying signify VBG A34005 2940 21 the the DT A34005 2940 22 Sides side NNS A34005 2940 23 of of IN A34005 2940 24 a a DT A34005 2940 25 Icosahedron Icosahedron NNP A34005 2940 26 C C NNP A34005 2940 27 Signifying signify VBG A34005 2940 28 the the DT A34005 2940 29 Sides side NNS A34005 2940 30 of of IN A34005 2940 31 a a DT A34005 2940 32 Cube Cube NNP A34005 2940 33 O O NNP A34005 2940 34 Signifying signify VBG A34005 2940 35 the the DT A34005 2940 36 Sides side NNS A34005 2940 37 of of IN A34005 2940 38 a a DT A34005 2940 39 Octohedron Octohedron NNP A34005 2940 40 T T NNP A34005 2940 41 Signifying signify VBG A34005 2940 42 the the DT A34005 2940 43 Sides side NNS A34005 2940 44 of of IN A34005 2940 45 a a DT A34005 2940 46 Tetrahedron Tetrahedron NNP A34005 2940 47 And and CC A34005 2940 48 the the DT A34005 2940 49 Letter Letter NNP A34005 2940 50 S S NNP A34005 2940 51 Signifieth Signifieth NNP A34005 2940 52 the the DT A34005 2940 53 Semidiameter Semidiameter NNP A34005 2940 54 of of IN A34005 2940 55 a a DT A34005 2940 56 Sphere Sphere NNP A34005 2940 57 , , , A34005 2940 58 the the DT A34005 2940 59 use use NN A34005 2940 60 whereof whereof NNP A34005 2940 61 are be VBP A34005 2940 62 to to TO A34005 2940 63 find find VB A34005 2940 64 the the DT A34005 2940 65 Sides side NNS A34005 2940 66 of of IN A34005 2940 67 the the DT A34005 2940 68 five five CD A34005 2940 69 Regular Regular NNP A34005 2940 70 Bodies Bodies NNPS A34005 2940 71 that that WDT A34005 2940 72 may may MD A34005 2940 73 be be VB A34005 2940 74 inscribed inscribe VBN A34005 2940 75 in in IN A34005 2940 76 a a DT A34005 2940 77 Sphere Sphere NNP A34005 2940 78 . . . A34005 2941 1 Example example NN A34005 2941 2 . . . A34005 2942 1 A a DT A34005 2942 2 joyner joyner NN A34005 2942 3 being be VBG A34005 2942 4 to to TO A34005 2942 5 cut cut VB A34005 2942 6 the the DT A34005 2942 7 5 5 CD A34005 2942 8 Regular Regular NNP A34005 2942 9 Bodies Bodies NNPS A34005 2942 10 desires desire NNS A34005 2942 11 to to TO A34005 2942 12 know know VB A34005 2942 13 the the DT A34005 2942 14 lengths length NNS A34005 2942 15 of of IN A34005 2942 16 the the DT A34005 2942 17 sides side NNS A34005 2942 18 of of IN A34005 2942 19 the the DT A34005 2942 20 said say VBD A34005 2942 21 5 5 CD A34005 2942 22 Regular Regular NNP A34005 2942 23 Bodies Bodies NNPS A34005 2942 24 that that WDT A34005 2942 25 may may MD A34005 2942 26 be be VB A34005 2942 27 inscribed inscribe VBN A34005 2942 28 in in IN A34005 2942 29 a a DT A34005 2942 30 Sphere Sphere NNP A34005 2942 31 where where WRB A34005 2942 32 Diameter Diameter NNP A34005 2942 33 is be VBZ A34005 2942 34 6 6 CD A34005 2942 35 inches inch NNS A34005 2942 36 . . . A34005 2943 1 Lay lay VB A34005 2943 2 the the DT A34005 2943 3 thread thread NN A34005 2943 4 over over IN A34005 2943 5 S S NNP A34005 2943 6 ▪ ▪ NN A34005 2943 7 and and CC A34005 2943 8 take take VB A34005 2943 9 3 3 CD A34005 2943 10 inches inch NNS A34005 2943 11 out out IN A34005 2943 12 of of IN A34005 2943 13 the the DT A34005 2943 14 line line NN A34005 2943 15 of of IN A34005 2943 16 equal equal JJ A34005 2943 17 parts part NNS A34005 2943 18 or or CC A34005 2943 19 Inches inch NNS A34005 2943 20 , , , A34005 2943 21 and and CC A34005 2943 22 enter enter VB A34005 2943 23 that that DT A34005 2943 24 extent extent NN A34005 2943 25 so so IN A34005 2943 26 that that IN A34005 2943 27 one one CD A34005 2943 28 foot foot NN A34005 2943 29 resting rest VBG A34005 2943 30 on on IN A34005 2943 31 the the DT A34005 2943 32 said say VBN A34005 2943 33 Scale scale NN A34005 2943 34 of of IN A34005 2943 35 inches inch NNS A34005 2943 36 , , , A34005 2943 37 the the DT A34005 2943 38 other other JJ A34005 2943 39 turned turn VBD A34005 2943 40 about about IN A34005 2943 41 may may NNP A34005 2943 42 but but CC A34005 2943 43 just just RB A34005 2943 44 touch touch VB A34005 2943 45 the the DT A34005 2943 46 thread thread NN A34005 2943 47 , , , A34005 2943 48 the the DT A34005 2943 49 resting resting NN A34005 2943 50 point point NN A34005 2943 51 thus thus RB A34005 2943 52 found find VBN A34005 2943 53 , , , A34005 2943 54 I -PRON- PRP A34005 2943 55 call call VBP A34005 2943 56 the the DT A34005 2943 57 point point NN A34005 2943 58 of of IN A34005 2943 59 entrance entrance NN A34005 2943 60 , , , A34005 2943 61 from from IN A34005 2943 62 the the DT A34005 2943 63 said say VBN A34005 2943 64 point point NN A34005 2943 65 take take VBP A34005 2943 66 the the DT A34005 2943 67 nearest near JJS A34005 2943 68 distances distance NNS A34005 2943 69 to to IN A34005 2943 70 the the DT A34005 2943 71 thread thread NN A34005 2943 72 laid lay VBN A34005 2943 73 over over IN A34005 2943 74 the the DT A34005 2943 75 Letters Letters NNPS A34005 2943 76 . . . A34005 2944 1 Inch inch NN A34005 2944 2 . . . A34005 2945 1 Dec. December NNP A34005 2945 2 parts part NNS A34005 2945 3 D d NN A34005 2945 4 And and CC A34005 2945 5 measure measure VB A34005 2945 6 those those DT A34005 2945 7 Extents extent NNS A34005 2945 8 on on IN A34005 2945 9 the the DT A34005 2945 10 Line Line NNP A34005 2945 11 of of IN A34005 2945 12 Inches inch NNS A34005 2945 13 , , , A34005 2945 14 and and CC A34005 2945 15 you -PRON- PRP A34005 2945 16 will will MD A34005 2945 17 find find VB A34005 2945 18 them -PRON- PRP A34005 2945 19 to to TO A34005 2945 20 reach reach VB A34005 2945 21 to to IN A34005 2945 22 2.13 2.13 CD A34005 2945 23 I i CD A34005 2945 24 3.15 3.15 CD A34005 2945 25 C c NN A34005 2945 26 3.45 3.45 CD A34005 2945 27 O o NN A34005 2945 28 4.23 4.23 CD A34005 2945 29 T t NN A34005 2945 30 4.86 4.86 CD A34005 2945 31 Which which WDT A34005 2945 32 are be VBP A34005 2945 33 the the DT A34005 2945 34 Dimensions Dimensions NNPS A34005 2945 35 of of IN A34005 2945 36 the the DT A34005 2945 37 respective respective JJ A34005 2945 38 sides side NNS A34005 2945 39 of of IN A34005 2945 40 those those DT A34005 2945 41 Bodies body NNS A34005 2945 42 to to TO A34005 2945 43 which which WDT A34005 2945 44 the the DT A34005 2945 45 Letters letter NNS A34005 2945 46 belong belong VBP A34005 2945 47 . . . A34005 2946 1 The the DT A34005 2946 2 uses use NNS A34005 2946 3 of of IN A34005 2946 4 the the DT A34005 2946 5 Lines Lines NNPS A34005 2946 6 of of IN A34005 2946 7 quadrature quadrature NN A34005 2946 8 , , , A34005 2946 9 Segments Segments NNPS A34005 2946 10 , , , A34005 2946 11 Mettals Mettals NNPS A34005 2946 12 and and CC A34005 2946 13 Equated Equated NNP A34005 2946 14 Bodies Bodies NNPS A34005 2946 15 , , , A34005 2946 16 I -PRON- PRP A34005 2946 17 leave leave VBP A34005 2946 18 to to IN A34005 2946 19 the the DT A34005 2946 20 Disquisition Disquisition NNP A34005 2946 21 of of IN A34005 2946 22 the the DT A34005 2946 23 Reader reader NN A34005 2946 24 , , , A34005 2946 25 when when WRB A34005 2946 26 he -PRON- PRP A34005 2946 27 shall shall MD A34005 2946 28 have have VB A34005 2946 29 occasion occasion NN A34005 2946 30 to to TO A34005 2946 31 put put VB A34005 2946 32 them -PRON- PRP A34005 2946 33 in in IN A34005 2946 34 practice practice NN A34005 2946 35 , , , A34005 2946 36 which which WDT A34005 2946 37 I -PRON- PRP A34005 2946 38 think think VBP A34005 2946 39 will will MD A34005 2946 40 be be VB A34005 2946 41 seldome seldome JJ A34005 2946 42 or or CC A34005 2946 43 never never RB A34005 2946 44 ; ; : A34005 2946 45 and and CC A34005 2946 46 wherein wherein WRB A34005 2946 47 the the DT A34005 2946 48 assistance assistance NN A34005 2946 49 of of IN A34005 2946 50 the the DT A34005 2946 51 Pen Pen NNP A34005 2946 52 will will MD A34005 2946 53 be be VB A34005 2946 54 more more RBR A34005 2946 55 commendable commendable JJ A34005 2946 56 . . . A34005 2947 1 These these DT A34005 2947 2 lines line NNS A34005 2947 3 were be VBD A34005 2947 4 added add VBN A34005 2947 5 to to IN A34005 2947 6 this this DT A34005 2947 7 quadrant quadrant NN A34005 2947 8 to to TO A34005 2947 9 fill fill VB A34005 2947 10 up up RP A34005 2947 11 spare spare JJ A34005 2947 12 room room NN A34005 2947 13 , , , A34005 2947 14 and and CC A34005 2947 15 to to TO A34005 2947 16 shew shew VB A34005 2947 17 that that IN A34005 2947 18 what what WP A34005 2947 19 ever ever RB A34005 2947 20 can can MD A34005 2947 21 be be VB A34005 2947 22 done do VBN A34005 2947 23 on on IN A34005 2947 24 the the DT A34005 2947 25 Sector sector NN A34005 2947 26 , , , A34005 2947 27 may may MD A34005 2947 28 be be VB A34005 2947 29 performed perform VBN A34005 2947 30 by by IN A34005 2947 31 them -PRON- PRP A34005 2947 32 on on IN A34005 2947 33 a a DT A34005 2947 34 quadrant quadrant NN A34005 2947 35 . . . A34005 2948 1 A a DT A34005 2948 2 TABLE table NN A34005 2948 3 Of of IN A34005 2948 4 the the DT A34005 2948 5 Latitude Latitude NNP A34005 2948 6 of of IN A34005 2948 7 the the DT A34005 2948 8 most most RBS A34005 2948 9 eminent eminent JJ A34005 2948 10 Places Places NNPS A34005 2948 11 in in IN A34005 2948 12 England England NNP A34005 2948 13 , , , A34005 2948 14 Wales Wales NNP A34005 2948 15 , , , A34005 2948 16 Scotland Scotland NNP A34005 2948 17 and and CC A34005 2948 18 Ireland Ireland NNP A34005 2948 19 . . . A34005 2949 1 d. d. NNP A34005 2949 2 m. m. NNP A34005 2949 3 Bedford Bedford NNP A34005 2949 4 52 52 CD A34005 2949 5 8 8 CD A34005 2949 6 Barwick barwick NN A34005 2949 7 55 55 CD A34005 2949 8 54 54 CD A34005 2949 9 Bristol Bristol NNP A34005 2949 10 51 51 CD A34005 2949 11 27 27 CD A34005 2949 12 Buckingham Buckingham NNP A34005 2949 13 52 52 CD A34005 2949 14     _SP A34005 2949 15 Cambridge Cambridge NNP A34005 2949 16 52 52 CD A34005 2949 17 12 12 CD A34005 2949 18 Canterbury Canterbury NNP A34005 2949 19 51 51 CD A34005 2949 20 17 17 CD A34005 2949 21 Carlisle Carlisle NNP A34005 2949 22 55 55 CD A34005 2949 23     _SP A34005 2949 24 Chichester Chichester NNP A34005 2949 25 50 50 CD A34005 2949 26 48 48 CD A34005 2949 27 Chester Chester NNP A34005 2949 28 53 53 CD A34005 2949 29 16 16 CD A34005 2949 30 Colchester Colchester NNP A34005 2949 31 51 51 CD A34005 2949 32 58 58 CD A34005 2949 33 Derby Derby NNP A34005 2949 34 52 52 CD A34005 2949 35 58 58 CD A34005 2949 36 Dorchester Dorchester NNP A34005 2949 37 50 50 CD A34005 2949 38 40 40 CD A34005 2949 39 Durham Durham NNP A34005 2949 40 54 54 CD A34005 2949 41 50 50 CD A34005 2949 42 Exceter exceter NN A34005 2949 43 50 50 CD A34005 2949 44 43 43 CD A34005 2949 45 Gilford Gilford NNP A34005 2949 46 51 51 CD A34005 2949 47 12 12 CD A34005 2949 48 Gloucester Gloucester NNP A34005 2949 49 51 51 CD A34005 2949 50 53 53 CD A34005 2949 51 Hartford Hartford NNP A34005 2949 52 51 51 CD A34005 2949 53 49 49 CD A34005 2949 54 Hereford Hereford NNP A34005 2949 55 52 52 CD A34005 2949 56 7 7 CD A34005 2949 57 Huntington Huntington NNP A34005 2949 58 52 52 CD A34005 2949 59 19 19 CD A34005 2949 60 Ipswich Ipswich NNP A34005 2949 61 52 52 CD A34005 2949 62 8 8 CD A34005 2949 63 Kendal Kendal NNP A34005 2949 64 54 54 CD A34005 2949 65 23 23 CD A34005 2949 66 Lancaster Lancaster NNP A34005 2949 67 54 54 CD A34005 2949 68 10 10 CD A34005 2949 69 Leicester leicester NN A34005 2949 70 52 52 CD A34005 2949 71 40 40 CD A34005 2949 72 Lincolne Lincolne NNP A34005 2949 73 53 53 CD A34005 2949 74 14 14 CD A34005 2949 75 London London NNP A34005 2949 76 51 51 CD A34005 2949 77 32 32 CD A34005 2949 78 Northampton Northampton NNP A34005 2949 79 52 52 CD A34005 2949 80 14 14 CD A34005 2949 81 Norwich Norwich NNP A34005 2949 82 52 52 CD A34005 2949 83 42 42 CD A34005 2949 84 Nottingham nottingham NN A34005 2949 85 53 53 CD A34005 2949 86     _SP A34005 2949 87 Oxford Oxford NNP A34005 2949 88 51 51 CD A34005 2949 89 46 46 CD A34005 2949 90 Reading read VBG A34005 2949 91 51 51 CD A34005 2949 92 28 28 CD A34005 2949 93 Salisbury Salisbury NNP A34005 2949 94 51 51 CD A34005 2949 95 4 4 CD A34005 2949 96 Shrewsbery Shrewsbery NNP A34005 2949 97 52 52 CD A34005 2949 98 47 47 CD A34005 2949 99 Stafford stafford NN A34005 2949 100 52 52 CD A34005 2949 101 52 52 CD A34005 2949 102 Stamford Stamford NNP A34005 2949 103 52 52 CD A34005 2949 104 38 38 CD A34005 2949 105 Truero Truero NNP A34005 2949 106 50 50 CD A34005 2949 107 30 30 CD A34005 2949 108 Warwick Warwick NNP A34005 2949 109 52 52 CD A34005 2949 110 20 20 CD A34005 2949 111 Winchester Winchester NNP A34005 2949 112 51 51 CD A34005 2949 113 3 3 CD A34005 2949 114 Worcester Worcester NNP A34005 2949 115 52 52 CD A34005 2949 116 14 14 CD A34005 2949 117 Yorke Yorke NNS A34005 2949 118 . . . A34005 2950 1 53 53 CD A34005 2950 2 58 58 CD A34005 2950 3 WALES WALES NNP A34005 2950 4 d. d. NN A34005 2950 5 m. m. NNP A34005 2950 6 Anglezey Anglezey NNP A34005 2950 7 53 53 CD A34005 2950 8 28 28 CD A34005 2950 9 Barmouth Barmouth NNP A34005 2950 10 52 52 CD A34005 2950 11 50 50 CD A34005 2950 12 Brecknock Brecknock NNP A34005 2950 13 52 52 CD A34005 2950 14 1 1 CD A34005 2950 15 Cardigan Cardigan NNP A34005 2950 16 52 52 CD A34005 2950 17 12 12 CD A34005 2950 18 Carmarthen Carmarthen NNP A34005 2950 19 51 51 CD A34005 2950 20 56 56 CD A34005 2950 21 Carnarvan Carnarvan NNP A34005 2950 22 53 53 CD A34005 2950 23 16 16 CD A34005 2950 24 Denbigh denbigh NN A34005 2950 25 53 53 CD A34005 2950 26 13 13 CD A34005 2950 27 Flint Flint NNP A34005 2950 28 53 53 CD A34005 2950 29 17 17 CD A34005 2950 30 Llandaffe Llandaffe NNP A34005 2950 31 51 51 CD A34005 2950 32 35 35 CD A34005 2950 33 Monmouth Monmouth NNP A34005 2950 34 51 51 CD A34005 2950 35 51 51 CD A34005 2950 36 Montgomeroy Montgomeroy NNP A34005 2950 37 51 51 CD A34005 2950 38 56 56 CD A34005 2950 39 Pembrooke Pembrooke NNP A34005 2950 40 51 51 CD A34005 2950 41 46 46 CD A34005 2950 42 Radnor Radnor NNP A34005 2950 43 52 52 CD A34005 2950 44 19 19 CD A34005 2950 45 St. St. NNP A34005 2950 46 David David NNP A34005 2950 47 52 52 CD A34005 2950 48 00 00 NFP A34005 2950 49 The the DT A34005 2950 50 ISLANDS island NNS A34005 2950 51 . . . A34005 2951 1 d. d. NNP A34005 2951 2 m m NNP A34005 2951 3 Garnzey Garnzey NNP A34005 2951 4 49 49 CD A34005 2951 5 30 30 CD A34005 2951 6 Jersey Jersey NNP A34005 2951 7 49 49 CD A34005 2951 8 12 12 CD A34005 2951 9 Lundy Lundy NNP A34005 2951 10 51 51 CD A34005 2951 11 22 22 CD A34005 2951 12 Man man NN A34005 2951 13 54 54 CD A34005 2951 14 24 24 CD A34005 2951 15 Portland Portland NNP A34005 2951 16 50 50 CD A34005 2951 17 33 33 CD A34005 2951 18 Wight Wight NNP A34005 2951 19 Isle Isle NNP A34005 2951 20 . . . A34005 2952 1 50 50 CD A34005 2952 2 39 39 CD A34005 2952 3 SCOTLAND SCOTLAND NNP A34005 2952 4 . . . A34005 2953 1 d. d. NNP A34005 2953 2 m. m. NNP A34005 2953 3 Aberdean Aberdean NNP A34005 2953 4 57 57 CD A34005 2953 5 32 32 CD A34005 2953 6 Dunblain Dunblain NNP A34005 2953 7 56 56 CD A34005 2953 8 21 21 CD A34005 2953 9 Dunkel Dunkel NNP A34005 2953 10 56 56 CD A34005 2953 11 48 48 CD A34005 2953 12 Edinburgh Edinburgh NNP A34005 2953 13 55 55 CD A34005 2953 14 56 56 CD A34005 2953 15 Glascow Glascow NNP A34005 2953 16 55 55 CD A34005 2953 17 52 52 CD A34005 2953 18 Kintaile Kintaile NNP A34005 2953 19 57 57 CD A34005 2953 20 44 44 CD A34005 2953 21 Orkney Orkney NNP A34005 2953 22 Isle Isle NNP A34005 2953 23 60 60 CD A34005 2953 24 6 6 CD A34005 2953 25 St. St. NNP A34005 2953 26 Andrewes Andrewes NNP A34005 2953 27 56 56 CD A34005 2953 28 39 39 CD A34005 2953 29 Skirassin skirassin NN A34005 2953 30 58 58 CD A34005 2953 31 36 36 CD A34005 2953 32 Sterling sterling NN A34005 2953 33 . . . A34005 2954 1 56 56 CD A34005 2954 2 12 12 CD A34005 2954 3 IRELAND IRELAND NNS A34005 2954 4 . . . A34005 2955 1 d. d. NNP A34005 2955 2 m. m. NNP A34005 2955 3 Autrim Autrim NNP A34005 2955 4 54 54 CD A34005 2955 5 38 38 CD A34005 2955 6 Arglas Arglas NNP A34005 2955 7 54 54 CD A34005 2955 8 10 10 CD A34005 2955 9 Armach Armach NNP A34005 2955 10 54 54 CD A34005 2955 11 14 14 CD A34005 2955 12 Caterlagh Caterlagh NNP A34005 2955 13 52 52 CD A34005 2955 14 41 41 CD A34005 2955 15 Clare Clare NNP A34005 2955 16 52 52 CD A34005 2955 17 34 34 CD A34005 2955 18 Corke corke CD A34005 2955 19 51 51 CD A34005 2955 20 53 53 CD A34005 2955 21 Droghedah Droghedah NNP A34005 2955 22 53 53 CD A34005 2955 23 38 38 CD A34005 2955 24 Dublin Dublin NNP A34005 2955 25 53 53 CD A34005 2955 26 13 13 CD A34005 2955 27 Dundalk Dundalk NNP A34005 2955 28 53 53 CD A34005 2955 29 52 52 CD A34005 2955 30 Galloway Galloway NNP A34005 2955 31 53 53 CD A34005 2955 32 2 2 CD A34005 2955 33 Youghal Youghal NNP A34005 2955 34 51 51 CD A34005 2955 35 53 53 CD A34005 2955 36 Kenny Kenny NNP A34005 2955 37 52 52 CD A34005 2955 38 27 27 CD A34005 2955 39 Kildare Kildare NNP A34005 2955 40 53 53 CD A34005 2955 41 00 00 CD A34005 2955 42 Kings king NNS A34005 2955 43 towne towne VBD A34005 2955 44 53 53 CD A34005 2955 45 8 8 CD A34005 2955 46 Knock Knock NNP A34005 2955 47 fergus fergus NN A34005 2955 48 54 54 CD A34005 2955 49 37 37 CD A34005 2955 50 Kynsale Kynsale NNP A34005 2955 51 51 51 CD A34005 2955 52 41 41 CD A34005 2955 53 Lymerick Lymerick NNP A34005 2955 54 52 52 CD A34005 2955 55 30 30 CD A34005 2955 56 Queens Queens NNPS A34005 2955 57 towne towne VBD A34005 2955 58 52 52 CD A34005 2955 59 52 52 CD A34005 2955 60 Waterford Waterford NNP A34005 2955 61 52 52 CD A34005 2955 62 9 9 CD A34005 2955 63 Wexford Wexford NNP A34005 2955 64 . . . A34005 2956 1 52 52 CD A34005 2956 2 18 18 CD A34005 2956 3 A a DT A34005 2956 4 Table table NN A34005 2956 5 of of IN A34005 2956 6 the the DT A34005 2956 7 right right JJ A34005 2956 8 Ascensions Ascensions NNPS A34005 2956 9 and and CC A34005 2956 10 Declinations Declinations NNPS A34005 2956 11 of of IN A34005 2956 12 some some DT A34005 2956 13 of of IN A34005 2956 14 the the DT A34005 2956 15 most most RBS A34005 2956 16 principal principal JJ A34005 2956 17 fixed fix VBN A34005 2956 18 Stars star NNS A34005 2956 19 for for IN A34005 2956 20 some some DT A34005 2956 21 yeares yeare NNS A34005 2956 22 to to TO A34005 2956 23 come come VB A34005 2956 24 . . . A34005 2957 1 R. R. NNP A34005 2957 2 Ascension Ascension NNP A34005 2957 3 . . . A34005 2958 1 Declination declination NN A34005 2958 2 . . . A34005 2959 1 Magnitude Magnitude NNP A34005 2959 2     _SP A34005 2959 3 H H NNP A34005 2959 4 m m NNP A34005 2959 5 D. D. NNP A34005 2959 6 m. m. NN A34005 2959 7     _SP A34005 2959 8 Pole Pole NNP A34005 2959 9 Star Star NNP A34005 2959 10 00 00 NFP A34005 2959 11 31 31 CD A34005 2959 12 87 87 CD A34005 2959 13 34 34 CD A34005 2959 14 N n CD A34005 2959 15 2 2 CD A34005 2959 16 Andromedas Andromedas NNP A34005 2959 17 Girdle Girdle NNP A34005 2959 18 00 00 CD A34005 2959 19 50 50 CD A34005 2959 20 33 33 CD A34005 2959 21 50 50 CD A34005 2959 22 N n CD A34005 2959 23 2 2 CD A34005 2959 24 Whales Whales NNPS A34005 2959 25 Belly Belly NNP A34005 2959 26 01 01 CD A34005 2959 27 35 35 CD A34005 2959 28 12 12 CD A34005 2959 29 S s NN A34005 2959 30 3 3 CD A34005 2959 31 Rams Rams NNPS A34005 2959 32 head head NN A34005 2959 33 1 1 CD A34005 2959 34 48 48 CD A34005 2959 35 21 21 CD A34005 2959 36 49 49 CD A34005 2959 37 N n CD A34005 2959 38 3 3 CD A34005 2959 39 Whales Whales NNP A34005 2959 40 mouth mouth NN A34005 2959 41 2 2 CD A34005 2959 42 44 44 CD A34005 2959 43 2 2 CD A34005 2959 44 42 42 CD A34005 2959 45 N n CD A34005 2959 46 2 2 CD A34005 2959 47 Medusas Medusas NNP A34005 2959 48 head head NN A34005 2959 49 2 2 CD A34005 2959 50 46 46 CD A34005 2959 51 39 39 CD A34005 2959 52 35 35 CD A34005 2959 53 N n CD A34005 2959 54 3 3 CD A34005 2959 55 Perseus Perseus NNP A34005 2959 56 right right JJ A34005 2959 57 side side NN A34005 2959 58 2 2 CD A34005 2959 59 59 59 CD A34005 2959 60 48 48 CD A34005 2959 61 33 33 CD A34005 2959 62 N n CD A34005 2959 63 2 2 CD A34005 2959 64 Buls Buls NNP A34005 2959 65 eye eye NN A34005 2959 66 4 4 CD A34005 2959 67 16 16 CD A34005 2959 68 15 15 CD A34005 2959 69 46 46 CD A34005 2959 70 N n CD A34005 2959 71 1 1 CD A34005 2959 72 Goat Goat NNP A34005 2959 73 4 4 CD A34005 2959 74 52 52 CD A34005 2959 75 45 45 CD A34005 2959 76 37 37 CD A34005 2959 77 N n CD A34005 2959 78 1 1 CD A34005 2959 79 Orions Orions NNPS A34005 2959 80 left leave VBD A34005 2959 81 foot foot NN A34005 2959 82 4 4 CD A34005 2959 83 58 58 CD A34005 2959 84 8 8 CD A34005 2959 85 38 38 CD A34005 2959 86 S s NN A34005 2959 87 1 1 CD A34005 2959 88 Orions Orions NNPS A34005 2959 89 left leave VBD A34005 2959 90 shoulder shoulder NN A34005 2959 91 5 5 CD A34005 2959 92 6 6 CD A34005 2959 93 5 5 CD A34005 2959 94 59 59 CD A34005 2959 95 N n CD A34005 2959 96 3 3 CD A34005 2959 97 First first RB A34005 2959 98 , , , A34005 2959 99 in in IN A34005 2959 100 Orions Orions NNPS A34005 2959 101 girdle girdle VBP A34005 2959 102 5 5 CD A34005 2959 103 15 15 CD A34005 2959 104 00 00 CD A34005 2959 105 35 35 CD A34005 2959 106 S s NN A34005 2959 107 3 3 CD A34005 2959 108 Second Second NNP A34005 2959 109 , , , A34005 2959 110 in in IN A34005 2959 111 Orions orion NNS A34005 2959 112 girdle girdle VBP A34005 2959 113 5 5 CD A34005 2959 114 19 19 CD A34005 2959 115 1 1 CD A34005 2959 116 27 27 CD A34005 2959 117 S s NN A34005 2959 118 3 3 CD A34005 2959 119 Third Third NNP A34005 2959 120 , , , A34005 2959 121 in in IN A34005 2959 122 Orions orion NNS A34005 2959 123 girdle girdle VBP A34005 2959 124 5 5 CD A34005 2959 125 23 23 CD A34005 2959 126 2 2 CD A34005 2959 127 9 9 CD A34005 2959 128 S s NN A34005 2959 129 3 3 CD A34005 2959 130 Orions Orions NNPS A34005 2959 131 right right JJ A34005 2959 132 shoulder shoulder NN A34005 2959 133 5 5 CD A34005 2959 134 36 36 CD A34005 2959 135 7 7 CD A34005 2959 136 18 18 CD A34005 2959 137 N n CD A34005 2959 138 2 2 CD A34005 2959 139 The the DT A34005 2959 140 Wagoner Wagoner NNP A34005 2959 141 5 5 CD A34005 2959 142 39 39 CD A34005 2959 143 44 44 CD A34005 2959 144 56 56 CD A34005 2959 145 N n CD A34005 2959 146 2 2 CD A34005 2959 147 Bright bright JJ A34005 2959 148 foot foot NN A34005 2959 149 of of IN A34005 2959 150 the the DT A34005 2959 151 Twins Twins NNP A34005 2959 152 6 6 CD A34005 2959 153 18 18 CD A34005 2959 154 16 16 CD A34005 2959 155 39 39 CD A34005 2959 156 N n CD A34005 2959 157 3 3 CD A34005 2959 158 Great Great NNP A34005 2959 159 Dog Dog NNP A34005 2959 160 6 6 CD A34005 2959 161 30 30 CD A34005 2959 162 16 16 CD A34005 2959 163 13 13 CD A34005 2959 164 S s NN A34005 2959 165 1 1 CD A34005 2959 166 Castor Castor NNP A34005 2959 167 or or CC A34005 2959 168 Apollo Apollo NNP A34005 2959 169 7 7 CD A34005 2959 170 12 12 CD A34005 2959 171 32 32 CD A34005 2959 172 30 30 CD A34005 2959 173 N n CD A34005 2959 174 2 2 CD A34005 2959 175 The the DT A34005 2959 176 little little JJ A34005 2959 177 Dog Dog NNP A34005 2959 178 7 7 CD A34005 2959 179 22 22 CD A34005 2959 180 6 6 CD A34005 2959 181 6 6 CD A34005 2959 182 N n CD A34005 2959 183 2 2 CD A34005 2959 184 Pollux Pollux NNP A34005 2959 185 or or CC A34005 2959 186 Hercules Hercules NNP A34005 2959 187 7 7 CD A34005 2959 188 24 24 CD A34005 2959 189 28 28 CD A34005 2959 190 48 48 CD A34005 2959 191 N n CD A34005 2959 192 2 2 CD A34005 2959 193 Hidra Hidra NNP A34005 2959 194 's 's POS A34005 2959 195 heart heart NN A34005 2959 196 9 9 CD A34005 2959 197 10 10 CD A34005 2959 198 7 7 CD A34005 2959 199 10 10 CD A34005 2959 200 S s NN A34005 2959 201 1 1 CD A34005 2959 202 Lions Lions NNP A34005 2959 203 heart heart NN A34005 2959 204 9 9 CD A34005 2959 205 50 50 CD A34005 2959 206 13 13 CD A34005 2959 207 39 39 CD A34005 2959 208 N n CD A34005 2959 209 1 1 CD A34005 2959 210 Lions Lions NNP A34005 2959 211 Neck Neck NNP A34005 2959 212 9 9 CD A34005 2959 213 50 50 CD A34005 2959 214 21 21 CD A34005 2959 215 41 41 CD A34005 2959 216 N n CD A34005 2959 217 3 3 CD A34005 2959 218 Great Great NNP A34005 2959 219 Beares Beares NNP A34005 2959 220 rump rump VBP A34005 2959 221 10 10 CD A34005 2959 222 40 40 CD A34005 2959 223 58 58 CD A34005 2959 224 43 43 CD A34005 2959 225 N n CD A34005 2959 226 2 2 CD A34005 2959 227 Lions Lions NNPS A34005 2959 228 back back RB A34005 2959 229 11 11 CD A34005 2959 230 30 30 CD A34005 2959 231 22 22 CD A34005 2959 232 4 4 CD A34005 2959 233 N n CD A34005 2959 234 2 2 CD A34005 2959 235 Lions lion NNS A34005 2959 236 tail tail NN A34005 2959 237 11 11 CD A34005 2959 238 31 31 CD A34005 2959 239 16 16 CD A34005 2959 240 30 30 CD A34005 2959 241 N n CD A34005 2959 242 1 1 CD A34005 2959 243 The the DT A34005 2959 244 Virgins virgin NNS A34005 2959 245 girdle girdle VBP A34005 2959 246 12 12 CD A34005 2959 247 38 38 CD A34005 2959 248 5 5 CD A34005 2959 249 20 20 CD A34005 2959 250 N n CD A34005 2959 251 3 3 CD A34005 2959 252 First first RB A34005 2959 253 in in IN A34005 2959 254 the the DT A34005 2959 255 great great JJ A34005 2959 256 Bears bear NNS A34005 2959 257 taile taile VBP A34005 2959 258 next next IN A34005 2959 259 the the DT A34005 2959 260 rump rump JJ A34005 2959 261 12 12 CD A34005 2959 262 38 38 CD A34005 2959 263 57 57 CD A34005 2959 264 51 51 CD A34005 2959 265 N n CD A34005 2959 266 2 2 CD A34005 2959 267 Vindemiatrix Vindemiatrix NNP A34005 2959 268 12 12 CD A34005 2959 269 44 44 CD A34005 2959 270 15 15 CD A34005 2959 271 51 51 CD A34005 2959 272 N n CD A34005 2959 273 3 3 CD A34005 2959 274 Virgins Virgins NNP A34005 2959 275 Spike Spike NNP A34005 2959 276 13 13 CD A34005 2959 277 7 7 CD A34005 2959 278 9 9 CD A34005 2959 279 19 19 CD A34005 2959 280 S s NN A34005 2959 281 1 1 CD A34005 2959 282 Middlemost middlemost NN A34005 2959 283 in in IN A34005 2959 284 the the DT A34005 2959 285 Great Great NNP A34005 2959 286 Beares Beares NNP A34005 2959 287 tail tail VBP A34005 2959 288 13 13 CD A34005 2959 289 10 10 CD A34005 2959 290 56 56 CD A34005 2959 291 45 45 CD A34005 2959 292 N n CD A34005 2959 293 2 2 CD A34005 2959 294 Last last JJ A34005 2959 295 in in IN A34005 2959 296 the the DT A34005 2959 297 end end NN A34005 2959 298 of of IN A34005 2959 299 the the DT A34005 2959 300 Great Great NNP A34005 2959 301 Beares Beares NNP A34005 2959 302 tail tail VBP A34005 2959 303 13 13 CD A34005 2959 304 34 34 CD A34005 2959 305 51 51 CD A34005 2959 306 05 05 CD A34005 2959 307 N n CD A34005 2959 308 2 2 CD A34005 2959 309 Arcturus Arcturus NNP A34005 2959 310 14 14 CD A34005 2959 311 00 00 CD A34005 2959 312 21 21 CD A34005 2959 313 03 03 CD A34005 2959 314 N n NN A34005 2959 315 1 1 CD A34005 2959 316 South South NNP A34005 2959 317 Ballance Ballance NNP A34005 2959 318 14 14 CD A34005 2959 319 32 32 CD A34005 2959 320 14 14 CD A34005 2959 321 33 33 CD A34005 2959 322 S s NN A34005 2959 323 2 2 CD A34005 2959 324 Brightest Brightest NNP A34005 2959 325 in in IN A34005 2959 326 the the DT A34005 2959 327 Crown Crown NNP A34005 2959 328 15 15 CD A34005 2959 329 24 24 CD A34005 2959 330 27 27 CD A34005 2959 331 43 43 CD A34005 2959 332 N n CD A34005 2959 333 3 3 CD A34005 2959 334 North North NNP A34005 2959 335 Ballance Ballance NNP A34005 2959 336 14 14 CD A34005 2959 337 58 58 CD A34005 2959 338 08 08 CD A34005 2959 339 03 03 CD A34005 2959 340 S s NN A34005 2959 341 3 3 CD A34005 2959 342 Serpentaries Serpentaries NNPS A34005 2959 343 left leave VBD A34005 2959 344 hand hand NN A34005 2959 345 15 15 CD A34005 2959 346 56 56 CD A34005 2959 347 02 02 CD A34005 2959 348 46 46 CD A34005 2959 349 S s NN A34005 2959 350 3 3 CD A34005 2959 351 Scorpions Scorpions NNPS A34005 2959 352 heart heart NN A34005 2959 353 16 16 CD A34005 2959 354 08 08 CD A34005 2959 355 25 25 CD A34005 2959 356 35 35 CD A34005 2959 357 S s NN A34005 2959 358 1 1 CD A34005 2959 359 Serpentaries Serpentaries NNPS A34005 2959 360 left leave VBD A34005 2959 361 knee knee NN A34005 2959 362 16 16 CD A34005 2959 363 18 18 CD A34005 2959 364 09 09 CD A34005 2959 365 46 46 CD A34005 2959 366 S s NN A34005 2959 367 3 3 CD A34005 2959 368 Serpentaries Serpentaries NNPS A34005 2959 369 right right JJ A34005 2959 370 knee knee NN A34005 2959 371 16 16 CD A34005 2959 372 49 49 CD A34005 2959 373 15 15 CD A34005 2959 374 12 12 CD A34005 2959 375 S s NN A34005 2959 376 3 3 CD A34005 2959 377 Hercules Hercules NNP A34005 2959 378 head head NN A34005 2959 379 16 16 CD A34005 2959 380 59 59 CD A34005 2959 381 14 14 CD A34005 2959 382 51 51 CD A34005 2959 383 N n CD A34005 2959 384 3 3 CD A34005 2959 385 Serpentaries Serpentaries NNPS A34005 2959 386 head head VBP A34005 2959 387 17 17 CD A34005 2959 388 19 19 CD A34005 2959 389 12 12 CD A34005 2959 390 52 52 CD A34005 2959 391 N n CD A34005 2959 392 3 3 CD A34005 2959 393 Dragons Dragons NNPS A34005 2959 394 head head VBP A34005 2959 395 17 17 CD A34005 2959 396 48 48 CD A34005 2959 397 51 51 CD A34005 2959 398 36 36 CD A34005 2959 399 N n CD A34005 2959 400 3 3 CD A34005 2959 401 Brightest brightest RBS A34005 2959 402 in in IN A34005 2959 403 the the DT A34005 2959 404 Harp Harp NNP A34005 2959 405 18 18 CD A34005 2959 406 25 25 CD A34005 2959 407 38 38 CD A34005 2959 408 30 30 CD A34005 2959 409 N n CD A34005 2959 410 1 1 CD A34005 2959 411 Eagle Eagle NNP A34005 2959 412 or or CC A34005 2959 413 Vultures Vultures NNP A34005 2959 414 heart heart NN A34005 2959 415 19 19 CD A34005 2959 416 34 34 CD A34005 2959 417 08 08 CD A34005 2959 418 00 00 CD A34005 2959 419 N n CD A34005 2959 420 2 2 CD A34005 2959 421 Upper upper JJ A34005 2959 422 horn horn NN A34005 2959 423 of of IN A34005 2959 424 Capricorn Capricorn NNP A34005 2959 425 19 19 CD A34005 2959 426 58 58 CD A34005 2959 427 13 13 CD A34005 2959 428 32 32 CD A34005 2959 429 S s NN A34005 2959 430 3 3 CD A34005 2959 431 Swans Swans NNPS A34005 2959 432 tail tail VBP A34005 2959 433 20 20 CD A34005 2959 434 30 30 CD A34005 2959 435 44 44 CD A34005 2959 436 05 05 CD A34005 2959 437 N n CD A34005 2959 438 2 2 CD A34005 2959 439 Left left JJ A34005 2959 440 shoulder shoulder NN A34005 2959 441 of of IN A34005 2959 442 Aquarius Aquarius NNP A34005 2959 443 21 21 CD A34005 2959 444 13 13 CD A34005 2959 445 07 07 CD A34005 2959 446 02 02 CD A34005 2959 447 S s NN A34005 2959 448 3 3 CD A34005 2959 449 Pegasus Pegasus NNP A34005 2959 450 mouth mouth NN A34005 2959 451 21 21 CD A34005 2959 452 27 27 CD A34005 2959 453 08 08 CD A34005 2959 454 19 19 CD A34005 2959 455 N n CD A34005 2959 456 3 3 CD A34005 2959 457 Right right JJ A34005 2959 458 shoulder shoulder NN A34005 2959 459 of of IN A34005 2959 460 Aquarius Aquarius NNP A34005 2959 461 21 21 CD A34005 2959 462 48 48 CD A34005 2959 463 01 01 CD A34005 2959 464 58 58 CD A34005 2959 465 S s NN A34005 2959 466 3 3 CD A34005 2959 467 Fomahant Fomahant NNP A34005 2959 468 22 22 CD A34005 2959 469 39 39 CD A34005 2959 470 31 31 CD A34005 2959 471 17 17 CD A34005 2959 472 S s NN A34005 2959 473 1 1 CD A34005 2959 474 Pegasus Pegasus NNP A34005 2959 475 upper upper JJ A34005 2959 476 Wing wing NN A34005 2959 477 , , , A34005 2959 478 or or CC A34005 2959 479 Marchab Marchab NNP A34005 2959 480 22 22 CD A34005 2959 481 48 48 CD A34005 2959 482 13 13 CD A34005 2959 483 21 21 CD A34005 2959 484 N n CD A34005 2959 485 2 2 CD A34005 2959 486 Pegasus Pegasus NNP A34005 2959 487 Lower Lower NNP A34005 2959 488 Wing Wing NNP A34005 2959 489 . . . A34005 2960 1 23 23 CD A34005 2960 2 55 55 CD A34005 2960 3 33 33 CD A34005 2960 4 25 25 CD A34005 2960 5 N n CD A34005 2960 6 2 2 CD A34005 2960 7 Mr. Mr. NNP A34005 2960 8 Sutton Sutton NNP A34005 2960 9 knowing know VBG A34005 2960 10 that that IN A34005 2960 11 some some DT A34005 2960 12 of of IN A34005 2960 13 the the DT A34005 2960 14 Tables Tables NNPS A34005 2960 15 of of IN A34005 2960 16 Declination Declination NNP A34005 2960 17 and and CC A34005 2960 18 Right right UH A34005 2960 19 Ascension Ascension NNP A34005 2960 20 in in IN A34005 2960 21 our -PRON- PRP$ A34005 2960 22 English English NNP A34005 2960 23 Books Books NNPS A34005 2960 24 are be VBP A34005 2960 25 antiquated antiquated JJ A34005 2960 26 and and CC A34005 2960 27 removed remove VBN A34005 2960 28 forward forward RB A34005 2960 29 , , , A34005 2960 30 took take VBD A34005 2960 31 the the DT A34005 2960 32 pains pain NNS A34005 2960 33 to to TO A34005 2960 34 Calculate calculate VB A34005 2960 35 a a DT A34005 2960 36 new new JJ A34005 2960 37 Table table NN A34005 2960 38 of of IN A34005 2960 39 Right Right NNP A34005 2960 40 Ascensions Ascensions NNPS A34005 2960 41 and and CC A34005 2960 42 Declinations Declinations NNPS A34005 2960 43 to to TO A34005 2960 44 serve serve VB A34005 2960 45 for for IN A34005 2960 46 the the DT A34005 2960 47 future future NN A34005 2960 48 , , , A34005 2960 49 in in IN A34005 2960 50 regard regard NN A34005 2960 51 I -PRON- PRP A34005 2960 52 was be VBD A34005 2960 53 not not RB A34005 2960 54 at at IN A34005 2960 55 leisure leisure NN A34005 2960 56 to to TO A34005 2960 57 accomplish accomplish VB A34005 2960 58 it -PRON- PRP A34005 2960 59 ; ; : A34005 2960 60 which which WDT A34005 2960 61 followeth followeth NNP A34005 2960 62 . . . A34005 2961 1 Dayes Dayes NNP A34005 2961 2 . . . A34005 2962 1 January January NNP A34005 2962 2 ☉ ☉ NNP A34005 2962 3 R r NN A34005 2962 4 A. a. NN A34005 2963 1 ☉ ☉ NNP A34005 2963 2 Decl Decl NNP A34005 2963 3 . . . A34005 2964 1 H. H. NNP A34005 2964 2 M. M. NNP A34005 2964 3 D. D. NNP A34005 2964 4 M. M. NNP A34005 2964 5 1 1 CD A34005 2964 6 19 19 CD A34005 2964 7 35 35 CD A34005 2964 8 21 21 CD A34005 2964 9 46 46 CD A34005 2964 10 2 2 CD A34005 2964 11 19 19 CD A34005 2964 12 39 39 CD A34005 2964 13 21 21 CD A34005 2964 14 36 36 CD A34005 2964 15 3 3 CD A34005 2964 16 19 19 CD A34005 2964 17 43 43 CD A34005 2964 18 21 21 CD A34005 2964 19 25 25 CD A34005 2964 20 4 4 CD A34005 2964 21 19 19 CD A34005 2964 22 47 47 CD A34005 2964 23 21 21 CD A34005 2964 24 14 14 CD A34005 2964 25 5 5 CD A34005 2964 26 19 19 CD A34005 2964 27 51 51 CD A34005 2964 28 21 21 CD A34005 2964 29 03 03 CD A34005 2964 30 6 6 CD A34005 2964 31 19 19 CD A34005 2964 32 56 56 CD A34005 2964 33 20 20 CD A34005 2964 34 52 52 CD A34005 2964 35 7 7 CD A34005 2964 36 20 20 CD A34005 2964 37 00 00 CD A34005 2964 38 20 20 CD A34005 2964 39 40 40 CD A34005 2964 40 8 8 CD A34005 2964 41 20 20 CD A34005 2964 42 04 04 CD A34005 2964 43 20 20 CD A34005 2964 44 27 27 CD A34005 2964 45 9 9 CD A34005 2964 46 20 20 CD A34005 2964 47 09 09 CD A34005 2964 48 20 20 CD A34005 2964 49 15 15 CD A34005 2964 50 10 10 CD A34005 2964 51 20 20 CD A34005 2964 52 13 13 CD A34005 2964 53 20 20 CD A34005 2964 54 01 01 CD A34005 2964 55 11 11 CD A34005 2964 56 20 20 CD A34005 2964 57 17 17 CD A34005 2964 58 19 19 CD A34005 2964 59 48 48 CD A34005 2964 60 12 12 CD A34005 2964 61 20 20 CD A34005 2964 62 22 22 CD A34005 2964 63 19 19 CD A34005 2964 64 34 34 CD A34005 2964 65 13 13 CD A34005 2964 66 20 20 CD A34005 2964 67 26 26 CD A34005 2964 68 19 19 CD A34005 2964 69 20 20 CD A34005 2964 70 14 14 CD A34005 2964 71 20 20 CD A34005 2964 72 30 30 CD A34005 2964 73 19 19 CD A34005 2964 74 05 05 CD A34005 2964 75 15 15 CD A34005 2964 76 20 20 CD A34005 2964 77 34 34 CD A34005 2964 78 18 18 CD A34005 2964 79 50 50 CD A34005 2964 80 16 16 CD A34005 2964 81 20 20 CD A34005 2964 82 38 38 CD A34005 2964 83 18 18 CD A34005 2964 84 35 35 CD A34005 2964 85 17 17 CD A34005 2964 86 20 20 CD A34005 2964 87 42 42 CD A34005 2964 88 18 18 CD A34005 2964 89 19 19 CD A34005 2964 90 18 18 CD A34005 2964 91 20 20 CD A34005 2964 92 46 46 CD A34005 2964 93 18 18 CD A34005 2964 94 03 03 CD A34005 2964 95 19 19 CD A34005 2964 96 20 20 CD A34005 2964 97 50 50 CD A34005 2964 98 17 17 CD A34005 2964 99 47 47 CD A34005 2964 100 20 20 CD A34005 2964 101 20 20 CD A34005 2964 102 54 54 CD A34005 2964 103 17 17 CD A34005 2964 104 . . . A34005 2965 1 30 30 CD A34005 2965 2 21 21 CD A34005 2965 3 20 20 CD A34005 2965 4 58 58 CD A34005 2965 5 17 17 CD A34005 2965 6 13 13 CD A34005 2965 7 22 22 CD A34005 2965 8 21 21 CD A34005 2965 9 03 03 CD A34005 2965 10 16 16 CD A34005 2965 11 56 56 CD A34005 2965 12 23 23 CD A34005 2965 13 21 21 CD A34005 2965 14 07 07 CD A34005 2965 15 16 16 CD A34005 2965 16 39 39 CD A34005 2965 17 24 24 CD A34005 2965 18 21 21 CD A34005 2965 19 11 11 CD A34005 2965 20 16 16 CD A34005 2965 21 21 21 CD A34005 2965 22 25 25 CD A34005 2965 23 21 21 CD A34005 2965 24 15 15 CD A34005 2965 25 16 16 CD A34005 2965 26 03 03 CD A34005 2965 27 26 26 CD A34005 2965 28 21 21 CD A34005 2965 29 19 19 CD A34005 2965 30 15 15 CD A34005 2965 31 44 44 CD A34005 2965 32 27 27 CD A34005 2965 33 21 21 CD A34005 2965 34 23 23 CD A34005 2965 35 15 15 CD A34005 2965 36 26 26 CD A34005 2965 37 28 28 CD A34005 2965 38 21 21 CD A34005 2965 39 27 27 CD A34005 2965 40 15 15 CD A34005 2965 41 07 07 CD A34005 2965 42 29 29 CD A34005 2965 43 21 21 CD A34005 2965 44 31 31 CD A34005 2965 45 14 14 CD A34005 2965 46 48 48 CD A34005 2965 47 30 30 CD A34005 2965 48 21 21 CD A34005 2965 49 35 35 CD A34005 2965 50 14 14 CD A34005 2965 51 28 28 CD A34005 2965 52 31 31 CD A34005 2965 53 21 21 CD A34005 2965 54 38 38 CD A34005 2965 55 14 14 CD A34005 2965 56 09 09 CD A34005 2965 57 Dayes daye NNS A34005 2965 58 . . . A34005 2966 1 February February NNP A34005 2966 2 ☉ ☉ NNP A34005 2966 3 R r NN A34005 2966 4 A. a. NN A34005 2967 1 ☉ ☉ NNP A34005 2967 2 Decl Decl NNP A34005 2967 3 . . . A34005 2968 1 H. H. NNP A34005 2968 2 M. M. NNP A34005 2968 3 D. D. NNP A34005 2968 4 M. M. NNP A34005 2968 5 1 1 CD A34005 2968 6 21 21 CD A34005 2968 7 42 42 CD A34005 2968 8 13 13 CD A34005 2968 9 49 49 CD A34005 2968 10 2 2 CD A34005 2968 11 21 21 CD A34005 2968 12 46 46 CD A34005 2968 13 13 13 CD A34005 2968 14 29 29 CD A34005 2968 15 3 3 CD A34005 2968 16 21 21 CD A34005 2968 17 50 50 CD A34005 2968 18 13 13 CD A34005 2968 19 08 08 CD A34005 2968 20 4 4 CD A34005 2968 21 21 21 CD A34005 2968 22 54 54 CD A34005 2968 23 12 12 CD A34005 2968 24 48 48 CD A34005 2968 25 5 5 CD A34005 2968 26 21 21 CD A34005 2968 27 58 58 CD A34005 2968 28 12 12 CD A34005 2968 29 28 28 CD A34005 2968 30 6 6 CD A34005 2968 31 22 22 CD A34005 2968 32 02 02 CD A34005 2968 33 12 12 CD A34005 2968 34 06 06 CD A34005 2968 35 7 7 CD A34005 2968 36 22 22 CD A34005 2968 37 06 06 CD A34005 2968 38 11 11 CD A34005 2968 39 45 45 CD A34005 2968 40 8 8 CD A34005 2968 41 22 22 CD A34005 2968 42 10 10 CD A34005 2968 43 11 11 CD A34005 2968 44 24 24 CD A34005 2968 45 9 9 CD A34005 2968 46 22 22 CD A34005 2968 47 14 14 CD A34005 2968 48 11 11 CD A34005 2968 49 03 03 CD A34005 2968 50 10 10 CD A34005 2968 51 22 22 CD A34005 2968 52 17 17 CD A34005 2968 53 10 10 CD A34005 2968 54 41 41 CD A34005 2968 55 11 11 CD A34005 2968 56 22 22 CD A34005 2968 57 21 21 CD A34005 2968 58 10 10 CD A34005 2968 59 19 19 CD A34005 2968 60 12 12 CD A34005 2968 61 22 22 CD A34005 2968 62 25 25 CD A34005 2968 63 9 9 CD A34005 2968 64 57 57 CD A34005 2968 65 13 13 CD A34005 2968 66 22 22 CD A34005 2968 67 29 29 CD A34005 2968 68 9 9 CD A34005 2968 69 35 35 CD A34005 2968 70 14 14 CD A34005 2968 71 22 22 CD A34005 2968 72 33 33 CD A34005 2968 73 9 9 CD A34005 2968 74 13 13 CD A34005 2968 75 15 15 CD A34005 2968 76 22 22 CD A34005 2968 77 36 36 CD A34005 2968 78 8 8 CD A34005 2968 79 51 51 CD A34005 2968 80 16 16 CD A34005 2968 81 22 22 CD A34005 2968 82 40 40 CD A34005 2968 83 8 8 CD A34005 2968 84 26 26 CD A34005 2968 85 17 17 CD A34005 2968 86 22 22 CD A34005 2968 87 44 44 CD A34005 2968 88 8 8 CD A34005 2968 89 06 06 CD A34005 2968 90 18 18 CD A34005 2968 91 22 22 CD A34005 2968 92 48 48 CD A34005 2968 93 7 7 CD A34005 2968 94 43 43 CD A34005 2968 95 19 19 CD A34005 2968 96 22 22 CD A34005 2968 97 52 52 CD A34005 2968 98 7 7 CD A34005 2968 99 20 20 CD A34005 2968 100 20 20 CD A34005 2968 101 22 22 CD A34005 2968 102 55 55 CD A34005 2968 103 6 6 CD A34005 2968 104 57 57 CD A34005 2968 105 21 21 CD A34005 2968 106 22 22 CD A34005 2968 107 59 59 CD A34005 2968 108 6 6 CD A34005 2968 109 34 34 CD A34005 2968 110 22 22 CD A34005 2968 111 23 23 CD A34005 2968 112 03 03 CD A34005 2968 113 6 6 CD A34005 2968 114 11 11 CD A34005 2968 115 23 23 CD A34005 2968 116 23 23 CD A34005 2968 117 06 06 CD A34005 2968 118 5 5 CD A34005 2968 119 48 48 CD A34005 2968 120 24 24 CD A34005 2968 121 23 23 CD A34005 2968 122 10 10 CD A34005 2968 123 5 5 CD A34005 2968 124 24 24 CD A34005 2968 125 25 25 CD A34005 2968 126 23 23 CD A34005 2968 127 13 13 CD A34005 2968 128 5 5 CD A34005 2968 129 01 01 CD A34005 2968 130 26 26 CD A34005 2968 131 23 23 CD A34005 2968 132 17 17 CD A34005 2968 133 4 4 CD A34005 2968 134 37 37 CD A34005 2968 135 27 27 CD A34005 2968 136 23 23 CD A34005 2968 137 21 21 CD A34005 2968 138 4 4 CD A34005 2968 139 14 14 CD A34005 2968 140 28 28 CD A34005 2968 141 23 23 CD A34005 2968 142 25 25 CD A34005 2968 143 3 3 CD A34005 2968 144 51 51 CD A34005 2968 145 29 29 CD A34005 2968 146                 _SP A34005 2968 147 30 30 CD A34005 2968 148                 _SP A34005 2968 149 31 31 CD A34005 2968 150                 _SP A34005 2968 151 Dayes Dayes NNP A34005 2968 152 . . . A34005 2969 1 March March NNP A34005 2969 2 ☉ ☉ NNP A34005 2969 3 R. R. NNP A34005 2969 4 A. A. NNP A34005 2970 1 ☉ ☉ NNP A34005 2970 2 Decl Decl NNP A34005 2970 3 . . . A34005 2971 1 H. H. NNP A34005 2971 2 M. M. NNP A34005 2971 3 D. D. NNP A34005 2971 4 M. M. NNP A34005 2971 5 1 1 CD A34005 2971 6 23 23 CD A34005 2971 7 28 28 CD A34005 2971 8 3 3 CD A34005 2971 9 27 27 CD A34005 2971 10 2 2 CD A34005 2971 11 23 23 CD A34005 2971 12 32 32 CD A34005 2971 13 3 3 CD A34005 2971 14 03 03 CD A34005 2971 15 3 3 CD A34005 2971 16 23 23 CD A34005 2971 17 36 36 CD A34005 2971 18 2 2 CD A34005 2971 19 39 39 CD A34005 2971 20 4 4 CD A34005 2971 21 23 23 CD A34005 2971 22 39 39 CD A34005 2971 23 2 2 CD A34005 2971 24 16 16 CD A34005 2971 25 5 5 CD A34005 2971 26 23 23 CD A34005 2971 27 43 43 CD A34005 2971 28 1 1 CD A34005 2971 29 52 52 CD A34005 2971 30 6 6 CD A34005 2971 31 23 23 CD A34005 2971 32 46 46 CD A34005 2971 33 1 1 CD A34005 2971 34 29 29 CD A34005 2971 35 7 7 CD A34005 2971 36 23 23 CD A34005 2971 37 50 50 CD A34005 2971 38 1 1 CD A34005 2971 39 05 05 CD A34005 2971 40 8 8 CD A34005 2971 41 23 23 CD A34005 2971 42 53 53 CD A34005 2971 43 0 0 CD A34005 2971 44 41 41 CD A34005 2971 45 9 9 CD A34005 2971 46 23 23 CD A34005 2971 47 57 57 CD A34005 2971 48 0 0 CD A34005 2971 49 18 18 CD A34005 2971 50 10 10 CD A34005 2971 51 0 0 CD A34005 2971 52 01 01 CD A34005 2971 53 North North NNP A34005 2971 54 6 6 CD A34005 2971 55 11 11 CD A34005 2971 56 0 0 CD A34005 2971 57 05 05 CD A34005 2971 58 0 0 CD A34005 2971 59 30 30 CD A34005 2971 60 12 12 CD A34005 2971 61 0 0 CD A34005 2971 62 08 08 CD A34005 2971 63 0 0 CD A34005 2971 64 53 53 CD A34005 2971 65 13 13 CD A34005 2971 66 0 0 CD A34005 2971 67 12 12 CD A34005 2971 68 1 1 CD A34005 2971 69 17 17 CD A34005 2971 70 14 14 CD A34005 2971 71 0 0 CD A34005 2971 72 15 15 CD A34005 2971 73 1 1 CD A34005 2971 74 41 41 CD A34005 2971 75 15 15 CD A34005 2971 76 0 0 CD A34005 2971 77 19 19 CD A34005 2971 78 2 2 CD A34005 2971 79 04 04 CD A34005 2971 80 16 16 CD A34005 2971 81 0 0 CD A34005 2971 82 23 23 CD A34005 2971 83 2 2 CD A34005 2971 84 28 28 CD A34005 2971 85 17 17 CD A34005 2971 86 0 0 CD A34005 2971 87 26 26 CD A34005 2971 88 2 2 CD A34005 2971 89 51 51 CD A34005 2971 90 18 18 CD A34005 2971 91 0 0 CD A34005 2971 92 30 30 CD A34005 2971 93 3 3 CD A34005 2971 94 15 15 CD A34005 2971 95 19 19 CD A34005 2971 96 0 0 CD A34005 2971 97 33 33 CD A34005 2971 98 3 3 CD A34005 2971 99 38 38 CD A34005 2971 100 20 20 CD A34005 2971 101 0 0 CD A34005 2971 102 37 37 CD A34005 2971 103 4 4 CD A34005 2971 104 01 01 CD A34005 2971 105 21 21 CD A34005 2971 106 0 0 CD A34005 2971 107 41 41 CD A34005 2971 108 4 4 CD A34005 2971 109 24 24 CD A34005 2971 110 22 22 CD A34005 2971 111 0 0 CD A34005 2971 112 44 44 CD A34005 2971 113 4 4 CD A34005 2971 114 48 48 CD A34005 2971 115 23 23 CD A34005 2971 116 0 0 CD A34005 2971 117 48 48 CD A34005 2971 118 5 5 CD A34005 2971 119 11 11 CD A34005 2971 120 24 24 CD A34005 2971 121 0 0 CD A34005 2971 122 52 52 CD A34005 2971 123 5 5 CD A34005 2971 124 34 34 CD A34005 2971 125 25 25 CD A34005 2971 126 0 0 CD A34005 2971 127 55 55 CD A34005 2971 128 5 5 CD A34005 2971 129 57 57 CD A34005 2971 130 26 26 CD A34005 2971 131 0 0 CD A34005 2971 132 59 59 CD A34005 2971 133 6 6 CD A34005 2971 134 19 19 CD A34005 2971 135 27 27 CD A34005 2971 136 1 1 CD A34005 2971 137 03 03 CD A34005 2971 138 6 6 CD A34005 2971 139 42 42 CD A34005 2971 140 28 28 CD A34005 2971 141 1 1 CD A34005 2971 142 06 06 CD A34005 2971 143 7 7 CD A34005 2971 144 04 04 CD A34005 2971 145 29 29 CD A34005 2971 146 1 1 CD A34005 2971 147 10 10 CD A34005 2971 148 7 7 CD A34005 2971 149 27 27 CD A34005 2971 150 30 30 CD A34005 2971 151 1 1 CD A34005 2971 152 14 14 CD A34005 2971 153 7 7 CD A34005 2971 154 49 49 CD A34005 2971 155 31 31 CD A34005 2971 156 1 1 CD A34005 2971 157 17 17 CD A34005 2971 158 8 8 CD A34005 2971 159 11 11 CD A34005 2971 160 Dayes daye NNS A34005 2971 161 . . . A34005 2972 1 April April NNP A34005 2972 2 . . . A34005 2973 1 ☉ ☉ NNP A34005 2973 2 R. R. NNP A34005 2973 3 A. a. NN A34005 2974 1 ☉ ☉ NNP A34005 2974 2 Decl Decl NNP A34005 2974 3 . . . A34005 2975 1 H. H. NNP A34005 2975 2 M. M. NNP A34005 2975 3 D. D. NNP A34005 2975 4 M. M. NNP A34005 2975 5 1 1 CD A34005 2975 6 1 1 CD A34005 2975 7 21 21 CD A34005 2975 8 8 8 CD A34005 2975 9 33 33 CD A34005 2975 10 2 2 CD A34005 2975 11 1 1 CD A34005 2975 12 25 25 CD A34005 2975 13 8 8 CD A34005 2975 14 55 55 CD A34005 2975 15 3 3 CD A34005 2975 16 1 1 CD A34005 2975 17 29 29 CD A34005 2975 18 9 9 CD A34005 2975 19 17 17 CD A34005 2975 20 4 4 CD A34005 2975 21 1 1 CD A34005 2975 22 33 33 CD A34005 2975 23 9 9 CD A34005 2975 24 38 38 CD A34005 2975 25 5 5 CD A34005 2975 26 1 1 CD A34005 2975 27 36 36 CD A34005 2975 28 9 9 CD A34005 2975 29 51 51 CD A34005 2975 30 6 6 CD A34005 2975 31 1 1 CD A34005 2975 32 40 40 CD A34005 2975 33 10 10 CD A34005 2975 34 21 21 CD A34005 2975 35 7 7 CD A34005 2975 36 1 1 CD A34005 2975 37 44 44 CD A34005 2975 38 10 10 CD A34005 2975 39 42 42 CD A34005 2975 40 8 8 CD A34005 2975 41 1 1 CD A34005 2975 42 47 47 CD A34005 2975 43 11 11 CD A34005 2975 44 03 03 CD A34005 2975 45 9 9 CD A34005 2975 46 1 1 CD A34005 2975 47 51 51 CD A34005 2975 48 11 11 CD A34005 2975 49 24 24 CD A34005 2975 50 10 10 CD A34005 2975 51 1 1 CD A34005 2975 52 54 54 CD A34005 2975 53 11 11 CD A34005 2975 54 44 44 CD A34005 2975 55 11 11 CD A34005 2975 56 1 1 CD A34005 2975 57 58 58 CD A34005 2975 58 12 12 CD A34005 2975 59 05 05 CD A34005 2975 60 12 12 CD A34005 2975 61 2 2 CD A34005 2975 62 02 02 CD A34005 2975 63 12 12 CD A34005 2975 64 24 24 CD A34005 2975 65 13 13 CD A34005 2975 66 2 2 CD A34005 2975 67 06 06 CD A34005 2975 68 12 12 CD A34005 2975 69 45 45 CD A34005 2975 70 14 14 CD A34005 2975 71 2 2 CD A34005 2975 72 10 10 CD A34005 2975 73 13 13 CD A34005 2975 74 04 04 CD A34005 2975 75 15 15 CD A34005 2975 76 2 2 CD A34005 2975 77 13 13 CD A34005 2975 78 13 13 CD A34005 2975 79 24 24 CD A34005 2975 80 16 16 CD A34005 2975 81 2 2 CD A34005 2975 82 17 17 CD A34005 2975 83 13 13 CD A34005 2975 84 43 43 CD A34005 2975 85 17 17 CD A34005 2975 86 2 2 CD A34005 2975 87 21 21 CD A34005 2975 88 14 14 CD A34005 2975 89 02 02 CD A34005 2975 90 18 18 CD A34005 2975 91 2 2 CD A34005 2975 92 25 25 CD A34005 2975 93 14 14 CD A34005 2975 94 21 21 CD A34005 2975 95 19 19 CD A34005 2975 96 2 2 CD A34005 2975 97 29 29 CD A34005 2975 98 14 14 CD A34005 2975 99 40 40 CD A34005 2975 100 20 20 CD A34005 2975 101 2 2 CD A34005 2975 102 32 32 CD A34005 2975 103 14 14 CD A34005 2975 104 58 58 CD A34005 2975 105 21 21 CD A34005 2975 106 2 2 CD A34005 2975 107 36 36 CD A34005 2975 108 15 15 CD A34005 2975 109 16 16 CD A34005 2975 110 22 22 CD A34005 2975 111 2 2 CD A34005 2975 112 40 40 CD A34005 2975 113 15 15 CD A34005 2975 114 34 34 CD A34005 2975 115 23 23 CD A34005 2975 116 2 2 CD A34005 2975 117 44 44 CD A34005 2975 118 15 15 CD A34005 2975 119 52 52 CD A34005 2975 120 24 24 CD A34005 2975 121 2 2 CD A34005 2975 122 48 48 CD A34005 2975 123 16 16 CD A34005 2975 124 09 09 CD A34005 2975 125 25 25 CD A34005 2975 126 2 2 CD A34005 2975 127 51 51 CD A34005 2975 128 16 16 CD A34005 2975 129 27 27 CD A34005 2975 130 26 26 CD A34005 2975 131 2 2 CD A34005 2975 132 55 55 CD A34005 2975 133 16 16 CD A34005 2975 134 43 43 CD A34005 2975 135 27 27 CD A34005 2975 136 2 2 CD A34005 2975 137 59 59 CD A34005 2975 138 17 17 CD A34005 2975 139 00 00 CD A34005 2975 140 28 28 CD A34005 2975 141 3 3 CD A34005 2975 142 03 03 CD A34005 2975 143 17 17 CD A34005 2975 144 16 16 CD A34005 2975 145 29 29 CD A34005 2975 146 3 3 CD A34005 2975 147 07 07 CD A34005 2975 148 17 17 CD A34005 2975 149 32 32 CD A34005 2975 150 30 30 CD A34005 2975 151 3 3 CD A34005 2975 152 10 10 CD A34005 2975 153 17 17 CD A34005 2975 154 48 48 CD A34005 2975 155 31 31 CD A34005 2975 156                 _SP A34005 2975 157 Dayes Dayes NNP A34005 2975 158 . . . A34005 2976 1 May May NNP A34005 2976 2 ☉ ☉ NNP A34005 2976 3 R. R. NNP A34005 2976 4 A. A. NNP A34005 2977 1 ☉ ☉ NNP A34005 2977 2 Decl Decl NNP A34005 2977 3 . . . A34005 2978 1 H. H. NNP A34005 2978 2 M. M. NNP A34005 2978 3 D. D. NNP A34005 2978 4 M. M. NNP A34005 2978 5 1 1 CD A34005 2978 6 3 3 CD A34005 2978 7 14 14 CD A34005 2978 8 18 18 CD A34005 2978 9 03 03 CD A34005 2978 10 2 2 CD A34005 2978 11 3 3 CD A34005 2978 12 18 18 CD A34005 2978 13 18 18 CD A34005 2978 14 18 18 CD A34005 2978 15 3 3 CD A34005 2978 16 3 3 CD A34005 2978 17 22 22 CD A34005 2978 18 18 18 CD A34005 2978 19 33 33 CD A34005 2978 20 4 4 CD A34005 2978 21 3 3 CD A34005 2978 22 26 26 CD A34005 2978 23 18 18 CD A34005 2978 24 48 48 CD A34005 2978 25 5 5 CD A34005 2978 26 3 3 CD A34005 2978 27 30 30 CD A34005 2978 28 19 19 CD A34005 2978 29 02 02 CD A34005 2978 30 6 6 CD A34005 2978 31 3 3 CD A34005 2978 32 34 34 CD A34005 2978 33 19 19 CD A34005 2978 34 16 16 CD A34005 2978 35 7 7 CD A34005 2978 36 3 3 CD A34005 2978 37 38 38 CD A34005 2978 38 19 19 CD A34005 2978 39 29 29 CD A34005 2978 40 8 8 CD A34005 2978 41 3 3 CD A34005 2978 42 42 42 CD A34005 2978 43 19 19 CD A34005 2978 44 42 42 CD A34005 2978 45 9 9 CD A34005 2978 46 3 3 CD A34005 2978 47 46 46 CD A34005 2978 48 19 19 CD A34005 2978 49 55 55 CD A34005 2978 50 10 10 CD A34005 2978 51 3 3 CD A34005 2978 52 50 50 CD A34005 2978 53 20 20 CD A34005 2978 54 08 08 CD A34005 2978 55 11 11 CD A34005 2978 56 3 3 CD A34005 2978 57 54 54 CD A34005 2978 58 20 20 CD A34005 2978 59 20 20 CD A34005 2978 60 12 12 CD A34005 2978 61 3 3 CD A34005 2978 62 58 58 CD A34005 2978 63 20 20 CD A34005 2978 64 32 32 CD A34005 2978 65 13 13 CD A34005 2978 66 4 4 CD A34005 2978 67 02 02 CD A34005 2978 68 20 20 CD A34005 2978 69 44 44 CD A34005 2978 70 14 14 CD A34005 2978 71 4 4 CD A34005 2978 72 06 06 CD A34005 2978 73 20 20 CD A34005 2978 74 55 55 CD A34005 2978 75 15 15 CD A34005 2978 76 4 4 CD A34005 2978 77 10 10 CD A34005 2978 78 21 21 CD A34005 2978 79 05 05 CD A34005 2978 80 16 16 CD A34005 2978 81 4 4 CD A34005 2978 82 14 14 CD A34005 2978 83 21 21 CD A34005 2978 84 16 16 CD A34005 2978 85 17 17 CD A34005 2978 86 4 4 CD A34005 2978 87 18 18 CD A34005 2978 88 21 21 CD A34005 2978 89 26 26 CD A34005 2978 90 18 18 CD A34005 2978 91 4 4 CD A34005 2978 92 22 22 CD A34005 2978 93 21 21 CD A34005 2978 94 36 36 CD A34005 2978 95 19 19 CD A34005 2978 96 4 4 CD A34005 2978 97 26 26 CD A34005 2978 98 21 21 CD A34005 2978 99 45 45 CD A34005 2978 100 20 20 CD A34005 2978 101 4 4 CD A34005 2978 102 30 30 CD A34005 2978 103 21 21 CD A34005 2978 104 54 54 CD A34005 2978 105 21 21 CD A34005 2978 106 4 4 CD A34005 2978 107 34 34 CD A34005 2978 108 22 22 CD A34005 2978 109 02 02 CD A34005 2978 110 22 22 CD A34005 2978 111 4 4 CD A34005 2978 112 38 38 CD A34005 2978 113 22 22 CD A34005 2978 114 11 11 CD A34005 2978 115 23 23 CD A34005 2978 116 4 4 CD A34005 2978 117 42 42 CD A34005 2978 118 22 22 CD A34005 2978 119 19 19 CD A34005 2978 120 24 24 CD A34005 2978 121 4 4 CD A34005 2978 122 46 46 CD A34005 2978 123 22 22 CD A34005 2978 124 26 26 CD A34005 2978 125 25 25 CD A34005 2978 126 4 4 CD A34005 2978 127 50 50 CD A34005 2978 128 22 22 CD A34005 2978 129 33 33 CD A34005 2978 130 26 26 CD A34005 2978 131 4 4 CD A34005 2978 132 54 54 CD A34005 2978 133 22 22 CD A34005 2978 134 40 40 CD A34005 2978 135 27 27 CD A34005 2978 136 4 4 CD A34005 2978 137 58 58 CD A34005 2978 138 22 22 CD A34005 2978 139 46 46 CD A34005 2978 140 28 28 CD A34005 2978 141 5 5 CD A34005 2978 142 02 02 CD A34005 2978 143 22 22 CD A34005 2978 144 52 52 CD A34005 2978 145 29 29 CD A34005 2978 146 5 5 CD A34005 2978 147 06 06 CD A34005 2978 148 22 22 CD A34005 2978 149 57 57 CD A34005 2978 150 30 30 CD A34005 2978 151 5 5 CD A34005 2978 152 11 11 CD A34005 2978 153 23 23 CD A34005 2978 154 02 02 CD A34005 2978 155 31 31 CD A34005 2978 156 5 5 CD A34005 2978 157 15 15 CD A34005 2978 158 23 23 CD A34005 2978 159 07 07 CD A34005 2978 160 Dayes daye NNS A34005 2978 161 . . . A34005 2979 1 June June NNP A34005 2979 2 . . . A34005 2980 1 ☉ ☉ NNP A34005 2980 2 R. R. NNP A34005 2980 3 A. a. NN A34005 2981 1 ☉ ☉ NNP A34005 2981 2 Decl Decl NNP A34005 2981 3 . . . A34005 2982 1 H. H. NNP A34005 2982 2 M. M. NNP A34005 2982 3 D. D. NNP A34005 2982 4 M. M. NNP A34005 2982 5 1 1 CD A34005 2982 6 5 5 CD A34005 2982 7 19 19 CD A34005 2982 8 23 23 CD A34005 2982 9 11 11 CD A34005 2982 10 2 2 CD A34005 2982 11 5 5 CD A34005 2982 12 23 23 CD A34005 2982 13 23 23 CD A34005 2982 14 15 15 CD A34005 2982 15 3 3 CD A34005 2982 16 5 5 CD A34005 2982 17 27 27 CD A34005 2982 18 23 23 CD A34005 2982 19 19 19 CD A34005 2982 20 4 4 CD A34005 2982 21 5 5 CD A34005 2982 22 31 31 CD A34005 2982 23 23 23 CD A34005 2982 24 22 22 CD A34005 2982 25 5 5 CD A34005 2982 26 5 5 CD A34005 2982 27 36 36 CD A34005 2982 28 23 23 CD A34005 2982 29 24 24 CD A34005 2982 30 6 6 CD A34005 2982 31 5 5 CD A34005 2982 32 40 40 CD A34005 2982 33 23 23 CD A34005 2982 34 26 26 CD A34005 2982 35 7 7 CD A34005 2982 36 5 5 CD A34005 2982 37 44 44 CD A34005 2982 38 23 23 CD A34005 2982 39 28 28 CD A34005 2982 40 8 8 CD A34005 2982 41 5 5 CD A34005 2982 42 48 48 CD A34005 2982 43 23 23 CD A34005 2982 44 29 29 CD A34005 2982 45 9 9 CD A34005 2982 46 5 5 CD A34005 2982 47 52 52 CD A34005 2982 48 23 23 CD A34005 2982 49 30 30 CD A34005 2982 50 10 10 CD A34005 2982 51 5 5 CD A34005 2982 52 56 56 CD A34005 2982 53 23 23 CD A34005 2982 54 31 31 CD A34005 2982 55 11 11 CD A34005 2982 56 6 6 CD A34005 2982 57 00 00 CD A34005 2982 58 23 23 CD A34005 2982 59 31½ 31½ CD A34005 2982 60 12 12 CD A34005 2982 61 6 6 CD A34005 2982 62 04 04 CD A34005 2982 63 23 23 CD A34005 2982 64 31 31 CD A34005 2982 65 13 13 CD A34005 2982 66 6 6 CD A34005 2982 67 08 08 CD A34005 2982 68 23 23 CD A34005 2982 69 30 30 CD A34005 2982 70 14 14 CD A34005 2982 71 6 6 CD A34005 2982 72 12 12 CD A34005 2982 73 23 23 CD A34005 2982 74 29 29 CD A34005 2982 75 15 15 CD A34005 2982 76 6 6 CD A34005 2982 77 17 17 CD A34005 2982 78 23 23 CD A34005 2982 79 28 28 CD A34005 2982 80 16 16 CD A34005 2982 81 6 6 CD A34005 2982 82 21 21 CD A34005 2982 83 23 23 CD A34005 2982 84 26 26 CD A34005 2982 85 17 17 CD A34005 2982 86 6 6 CD A34005 2982 87 25 25 CD A34005 2982 88 23 23 CD A34005 2982 89 24 24 CD A34005 2982 90 18 18 CD A34005 2982 91 6 6 CD A34005 2982 92 29 29 CD A34005 2982 93 23 23 CD A34005 2982 94 21 21 CD A34005 2982 95 19 19 CD A34005 2982 96 6 6 CD A34005 2982 97 33 33 CD A34005 2982 98 23 23 CD A34005 2982 99 18 18 CD A34005 2982 100 20 20 CD A34005 2982 101 6 6 CD A34005 2982 102 38 38 CD A34005 2982 103 23 23 CD A34005 2982 104 14 14 CD A34005 2982 105 21 21 CD A34005 2982 106 6 6 CD A34005 2982 107 42 42 CD A34005 2982 108 23 23 CD A34005 2982 109 11 11 CD A34005 2982 110 22 22 CD A34005 2982 111 6 6 CD A34005 2982 112 46 46 CD A34005 2982 113 23 23 CD A34005 2982 114 06 06 CD A34005 2982 115 23 23 CD A34005 2982 116 6 6 CD A34005 2982 117 50 50 CD A34005 2982 118 23 23 CD A34005 2982 119 01 01 CD A34005 2982 120 24 24 CD A34005 2982 121 6 6 CD A34005 2982 122 54 54 CD A34005 2982 123 22 22 CD A34005 2982 124 56 56 CD A34005 2982 125 25 25 CD A34005 2982 126 6 6 CD A34005 2982 127 58 58 CD A34005 2982 128 22 22 CD A34005 2982 129 51 51 CD A34005 2982 130 26 26 CD A34005 2982 131 7 7 CD A34005 2982 132 02 02 CD A34005 2982 133 22 22 CD A34005 2982 134 45 45 CD A34005 2982 135 27 27 CD A34005 2982 136 7 7 CD A34005 2982 137 06 06 CD A34005 2982 138 22 22 CD A34005 2982 139 39 39 CD A34005 2982 140 28 28 CD A34005 2982 141 7 7 CD A34005 2982 142 10 10 CD A34005 2982 143 22 22 CD A34005 2982 144 32 32 CD A34005 2982 145 29 29 CD A34005 2982 146 7 7 CD A34005 2982 147 14 14 CD A34005 2982 148 22 22 CD A34005 2982 149 25 25 CD A34005 2982 150 30 30 CD A34005 2982 151 7 7 CD A34005 2982 152 19 19 CD A34005 2982 153 22 22 CD A34005 2982 154 17 17 CD A34005 2982 155 31 31 CD A34005 2982 156                 _SP A34005 2982 157 Dayes Dayes NNP A34005 2982 158 . . . A34005 2983 1 July July NNP A34005 2983 2 ☉ ☉ NNP A34005 2983 3 R. R. NNP A34005 2983 4 A. A. NNP A34005 2984 1 ☉ ☉ NNP A34005 2984 2 Decl Decl NNP A34005 2984 3 . . . A34005 2985 1 H. H. NNP A34005 2985 2 M. M. NNP A34005 2985 3 D. D. NNP A34005 2985 4 M. M. NNP A34005 2985 5 1 1 CD A34005 2985 6 7 7 CD A34005 2985 7 23 23 CD A34005 2985 8 22 22 CD A34005 2985 9 09 09 CD A34005 2985 10 2 2 CD A34005 2985 11 7 7 CD A34005 2985 12 27 27 CD A34005 2985 13 22 22 CD A34005 2985 14 01 01 CD A34005 2985 15 3 3 CD A34005 2985 16 7 7 CD A34005 2985 17 31 31 CD A34005 2985 18 21 21 CD A34005 2985 19 52 52 CD A34005 2985 20 4 4 CD A34005 2985 21 7 7 CD A34005 2985 22 35 35 CD A34005 2985 23 21 21 CD A34005 2985 24 43 43 CD A34005 2985 25 5 5 CD A34005 2985 26 7 7 CD A34005 2985 27 39 39 CD A34005 2985 28 21 21 CD A34005 2985 29 34 34 CD A34005 2985 30 6 6 CD A34005 2985 31 7 7 CD A34005 2985 32 43 43 CD A34005 2985 33 21 21 CD A34005 2985 34 24 24 CD A34005 2985 35 7 7 CD A34005 2985 36 7 7 CD A34005 2985 37 47 47 CD A34005 2985 38 21 21 CD A34005 2985 39 14 14 CD A34005 2985 40 8 8 CD A34005 2985 41 7 7 CD A34005 2985 42 51 51 CD A34005 2985 43 21 21 CD A34005 2985 44 04 04 CD A34005 2985 45 9 9 CD A34005 2985 46 7 7 CD A34005 2985 47 55 55 CD A34005 2985 48 20 20 CD A34005 2985 49 53 53 CD A34005 2985 50 10 10 CD A34005 2985 51 7 7 CD A34005 2985 52 59 59 CD A34005 2985 53 20 20 CD A34005 2985 54 42 42 CD A34005 2985 55 11 11 CD A34005 2985 56 8 8 CD A34005 2985 57 03 03 CD A34005 2985 58 20 20 CD A34005 2985 59 30 30 CD A34005 2985 60 12 12 CD A34005 2985 61 8 8 CD A34005 2985 62 07 07 CD A34005 2985 63 20 20 CD A34005 2985 64 18 18 CD A34005 2985 65 13 13 CD A34005 2985 66 8 8 CD A34005 2985 67 11 11 CD A34005 2985 68 20 20 CD A34005 2985 69 06 06 CD A34005 2985 70 14 14 CD A34005 2985 71 8 8 CD A34005 2985 72 15 15 CD A34005 2985 73 19 19 CD A34005 2985 74 54 54 CD A34005 2985 75 15 15 CD A34005 2985 76 8 8 CD A34005 2985 77 19 19 CD A34005 2985 78 19 19 CD A34005 2985 79 41 41 CD A34005 2985 80 16 16 CD A34005 2985 81 8 8 CD A34005 2985 82 23 23 CD A34005 2985 83 19 19 CD A34005 2985 84 28 28 CD A34005 2985 85 17 17 CD A34005 2985 86 8 8 CD A34005 2985 87 27 27 CD A34005 2985 88 19 19 CD A34005 2985 89 14 14 CD A34005 2985 90 18 18 CD A34005 2985 91 8 8 CD A34005 2985 92 31 31 CD A34005 2985 93 19 19 CD A34005 2985 94 00 00 CD A34005 2985 95 19 19 CD A34005 2985 96 8 8 CD A34005 2985 97 35 35 CD A34005 2985 98 18 18 CD A34005 2985 99 46 46 CD A34005 2985 100 20 20 CD A34005 2985 101 8 8 CD A34005 2985 102 39 39 CD A34005 2985 103 18 18 CD A34005 2985 104 32 32 CD A34005 2985 105 21 21 CD A34005 2985 106 8 8 CD A34005 2985 107 43 43 CD A34005 2985 108 18 18 CD A34005 2985 109 17 17 CD A34005 2985 110 22 22 CD A34005 2985 111 8 8 CD A34005 2985 112 47 47 CD A34005 2985 113 18 18 CD A34005 2985 114 02 02 CD A34005 2985 115 23 23 CD A34005 2985 116 8 8 CD A34005 2985 117 51 51 CD A34005 2985 118 17 17 CD A34005 2985 119 46 46 CD A34005 2985 120 24 24 CD A34005 2985 121 8 8 CD A34005 2985 122 55 55 CD A34005 2985 123 17 17 CD A34005 2985 124 31 31 CD A34005 2985 125 25 25 CD A34005 2985 126 8 8 CD A34005 2985 127 58 58 CD A34005 2985 128 17 17 CD A34005 2985 129 15 15 CD A34005 2985 130 26 26 CD A34005 2985 131 9 9 CD A34005 2985 132 02 02 CD A34005 2985 133 16 16 CD A34005 2985 134 59 59 CD A34005 2985 135 27 27 CD A34005 2985 136 9 9 CD A34005 2985 137 06 06 CD A34005 2985 138 16 16 CD A34005 2985 139 42 42 CD A34005 2985 140 28 28 CD A34005 2985 141 9 9 CD A34005 2985 142 10 10 CD A34005 2985 143 16 16 CD A34005 2985 144 25 25 CD A34005 2985 145 29 29 CD A34005 2985 146 9 9 CD A34005 2985 147 14 14 CD A34005 2985 148 16 16 CD A34005 2985 149 08 08 CD A34005 2985 150 30 30 CD A34005 2985 151 9 9 CD A34005 2985 152 17 17 CD A34005 2985 153 15 15 CD A34005 2985 154 51 51 CD A34005 2985 155 31 31 CD A34005 2985 156 9 9 CD A34005 2985 157 21 21 CD A34005 2985 158 15 15 CD A34005 2985 159 33 33 CD A34005 2985 160 Dayes daye NNS A34005 2985 161 . . . A34005 2986 1 August August NNP A34005 2986 2 ☉ ☉ NNP A34005 2986 3 R. R. NNP A34005 2986 4 A. a. NN A34005 2987 1 ☉ ☉ NNP A34005 2987 2 Decl Decl NNP A34005 2987 3 . . . A34005 2988 1 H. H. NNP A34005 2988 2 M. M. NNP A34005 2988 3 D. D. NNP A34005 2988 4 M. M. NNP A34005 2988 5 1 1 CD A34005 2988 6 9 9 CD A34005 2988 7 25 25 CD A34005 2988 8 15 15 CD A34005 2988 9 16 16 CD A34005 2988 10 2 2 CD A34005 2988 11 9 9 CD A34005 2988 12 29 29 CD A34005 2988 13 14 14 CD A34005 2988 14 58 58 CD A34005 2988 15 3 3 CD A34005 2988 16 9 9 CD A34005 2988 17 33 33 CD A34005 2988 18 14 14 CD A34005 2988 19 39 39 CD A34005 2988 20 4 4 CD A34005 2988 21 9 9 CD A34005 2988 22 37 37 CD A34005 2988 23 14 14 CD A34005 2988 24 21 21 CD A34005 2988 25 5 5 CD A34005 2988 26 9 9 CD A34005 2988 27 40 40 CD A34005 2988 28 14 14 CD A34005 2988 29 02 02 CD A34005 2988 30 6 6 CD A34005 2988 31 9 9 CD A34005 2988 32 44 44 CD A34005 2988 33 13 13 CD A34005 2988 34 43 43 CD A34005 2988 35 7 7 CD A34005 2988 36 9 9 CD A34005 2988 37 48 48 CD A34005 2988 38 13 13 CD A34005 2988 39 24 24 CD A34005 2988 40 8 8 CD A34005 2988 41 9 9 CD A34005 2988 42 51 51 CD A34005 2988 43 13 13 CD A34005 2988 44 04 04 CD A34005 2988 45 9 9 CD A34005 2988 46 9 9 CD A34005 2988 47 55 55 CD A34005 2988 48 12 12 CD A34005 2988 49 45 45 CD A34005 2988 50 10 10 CD A34005 2988 51 9 9 CD A34005 2988 52 58 58 CD A34005 2988 53 12 12 CD A34005 2988 54 25 25 CD A34005 2988 55 11 11 CD A34005 2988 56 10 10 CD A34005 2988 57 02 02 CD A34005 2988 58 12 12 CD A34005 2988 59 05 05 CD A34005 2988 60 12 12 CD A34005 2988 61 10 10 CD A34005 2988 62 06 06 CD A34005 2988 63 11 11 CD A34005 2988 64 45 45 CD A34005 2988 65 13 13 CD A34005 2988 66 10 10 CD A34005 2988 67 10 10 CD A34005 2988 68 11 11 CD A34005 2988 69 25 25 CD A34005 2988 70 14 14 CD A34005 2988 71 10 10 CD A34005 2988 72 14 14 CD A34005 2988 73 11 11 CD A34005 2988 74 04 04 CD A34005 2988 75 15 15 CD A34005 2988 76 10 10 CD A34005 2988 77 17 17 CD A34005 2988 78 10 10 CD A34005 2988 79 43 43 CD A34005 2988 80 16 16 CD A34005 2988 81 10 10 CD A34005 2988 82 21 21 CD A34005 2988 83 10 10 CD A34005 2988 84 22 22 CD A34005 2988 85 17 17 CD A34005 2988 86 10 10 CD A34005 2988 87 25 25 CD A34005 2988 88 10 10 CD A34005 2988 89 01 01 CD A34005 2988 90 18 18 CD A34005 2988 91 10 10 CD A34005 2988 92 28 28 CD A34005 2988 93 9 9 CD A34005 2988 94 40 40 CD A34005 2988 95 19 19 CD A34005 2988 96 10 10 CD A34005 2988 97 32 32 CD A34005 2988 98 9 9 CD A34005 2988 99 18 18 CD A34005 2988 100 20 20 CD A34005 2988 101 10 10 CD A34005 2988 102 35 35 CD A34005 2988 103 8 8 CD A34005 2988 104 57 57 CD A34005 2988 105 21 21 CD A34005 2988 106 10 10 CD A34005 2988 107 39 39 CD A34005 2988 108 8 8 CD A34005 2988 109 35 35 CD A34005 2988 110 22 22 CD A34005 2988 111 10 10 CD A34005 2988 112 43 43 CD A34005 2988 113 8 8 CD A34005 2988 114 14 14 CD A34005 2988 115 23 23 CD A34005 2988 116 10 10 CD A34005 2988 117 46 46 CD A34005 2988 118 7 7 CD A34005 2988 119 52 52 CD A34005 2988 120 24 24 CD A34005 2988 121 10 10 CD A34005 2988 122 50 50 CD A34005 2988 123 7 7 CD A34005 2988 124 30 30 CD A34005 2988 125 25 25 CD A34005 2988 126 10 10 CD A34005 2988 127 53 53 CD A34005 2988 128 7 7 CD A34005 2988 129 07 07 CD A34005 2988 130 26 26 CD A34005 2988 131 10 10 CD A34005 2988 132 57 57 CD A34005 2988 133 6 6 CD A34005 2988 134 45 45 CD A34005 2988 135 27 27 CD A34005 2988 136 11 11 CD A34005 2988 137 01 01 CD A34005 2988 138 6 6 CD A34005 2988 139 22 22 CD A34005 2988 140 28 28 CD A34005 2988 141 11 11 CD A34005 2988 142 04 04 CD A34005 2988 143 6 6 CD A34005 2988 144 00 00 CD A34005 2988 145 29 29 CD A34005 2988 146 11 11 CD A34005 2988 147 08 08 CD A34005 2988 148 5 5 CD A34005 2988 149 37 37 CD A34005 2988 150 30 30 CD A34005 2988 151 11 11 CD A34005 2988 152 11 11 CD A34005 2988 153 5 5 CD A34005 2988 154 14 14 CD A34005 2988 155 31 31 CD A34005 2988 156 11 11 CD A34005 2988 157 15 15 CD A34005 2988 158 4 4 CD A34005 2988 159 51 51 CD A34005 2988 160 Dayes daye NNS A34005 2988 161 . . . A34005 2989 1 September September NNP A34005 2989 2 ☉ ☉ NNP A34005 2989 3 R. R. NNP A34005 2989 4 A. a. NN A34005 2990 1 ☉ ☉ NNP A34005 2990 2 Decl Decl NNP A34005 2990 3 . . . A34005 2991 1 H. H. NNP A34005 2991 2 M. M. NNP A34005 2991 3 D. D. NNP A34005 2991 4 M. M. NNP A34005 2991 5 1 1 CD A34005 2991 6 11 11 CD A34005 2991 7 19 19 CD A34005 2991 8 4 4 CD A34005 2991 9 28 28 CD A34005 2991 10 2 2 CD A34005 2991 11 11 11 CD A34005 2991 12 23 23 CD A34005 2991 13 4 4 CD A34005 2991 14 6 6 CD A34005 2991 15 3 3 CD A34005 2991 16 11 11 CD A34005 2991 17 26 26 CD A34005 2991 18 3 3 CD A34005 2991 19 42 42 CD A34005 2991 20 4 4 CD A34005 2991 21 11 11 CD A34005 2991 22 30 30 CD A34005 2991 23 3 3 CD A34005 2991 24 19 19 CD A34005 2991 25 5 5 CD A34005 2991 26 11 11 CD A34005 2991 27 33 33 CD A34005 2991 28 2 2 CD A34005 2991 29 56 56 CD A34005 2991 30 6 6 CD A34005 2991 31 11 11 CD A34005 2991 32 37 37 CD A34005 2991 33 2 2 CD A34005 2991 34 33 33 CD A34005 2991 35 7 7 CD A34005 2991 36 11 11 CD A34005 2991 37 41 41 CD A34005 2991 38 2 2 CD A34005 2991 39 10 10 CD A34005 2991 40 8 8 CD A34005 2991 41 11 11 CD A34005 2991 42 44 44 CD A34005 2991 43 1 1 CD A34005 2991 44 46 46 CD A34005 2991 45 9 9 CD A34005 2991 46 11 11 CD A34005 2991 47 48 48 CD A34005 2991 48 1 1 CD A34005 2991 49 23 23 CD A34005 2991 50 10 10 CD A34005 2991 51 11 11 CD A34005 2991 52 51 51 CD A34005 2991 53 0 0 CD A34005 2991 54 59 59 CD A34005 2991 55 11 11 CD A34005 2991 56 11 11 CD A34005 2991 57 55 55 CD A34005 2991 58 0 0 CD A34005 2991 59 3 3 CD A34005 2991 60 ● ● CD A34005 2991 61 12 12 CD A34005 2991 62 11 11 CD A34005 2991 63 59 59 CD A34005 2991 64 0 0 CD A34005 2991 65 12 12 CD A34005 2991 66 13 13 CD A34005 2991 67 12 12 CD A34005 2991 68 02 02 CD A34005 2991 69 South South NNP A34005 2991 70 11 11 CD A34005 2991 71 14 14 CD A34005 2991 72 12 12 CD A34005 2991 73 06 06 CD A34005 2991 74 0 0 CD A34005 2991 75 35 35 CD A34005 2991 76 15 15 CD A34005 2991 77 12 12 CD A34005 2991 78 09 09 CD A34005 2991 79 0 0 CD A34005 2991 80 58 58 CD A34005 2991 81 16 16 CD A34005 2991 82 12 12 CD A34005 2991 83 13 13 CD A34005 2991 84 1 1 CD A34005 2991 85 22 22 CD A34005 2991 86 17 17 CD A34005 2991 87 12 12 CD A34005 2991 88 17 17 CD A34005 2991 89 1 1 CD A34005 2991 90 46 46 CD A34005 2991 91 18 18 CD A34005 2991 92 12 12 CD A34005 2991 93 20 20 CD A34005 2991 94 2 2 CD A34005 2991 95 09 09 CD A34005 2991 96 19 19 CD A34005 2991 97 12 12 CD A34005 2991 98 24 24 CD A34005 2991 99 2 2 CD A34005 2991 100 33 33 CD A34005 2991 101 20 20 CD A34005 2991 102 12 12 CD A34005 2991 103 27 27 CD A34005 2991 104 2 2 CD A34005 2991 105 56 56 CD A34005 2991 106 21 21 CD A34005 2991 107 12 12 CD A34005 2991 108 31 31 CD A34005 2991 109 3 3 CD A34005 2991 110 19 19 CD A34005 2991 111 22 22 CD A34005 2991 112 12 12 CD A34005 2991 113 35 35 CD A34005 2991 114 3 3 CD A34005 2991 115 43 43 CD A34005 2991 116 23 23 CD A34005 2991 117 12 12 CD A34005 2991 118 38 38 CD A34005 2991 119 4 4 CD A34005 2991 120 06 06 CD A34005 2991 121 24 24 CD A34005 2991 122 12 12 CD A34005 2991 123 42 42 CD A34005 2991 124 4 4 CD A34005 2991 125 30 30 CD A34005 2991 126 25 25 CD A34005 2991 127 12 12 CD A34005 2991 128 45 45 CD A34005 2991 129 4 4 CD A34005 2991 130 53 53 CD A34005 2991 131 26 26 CD A34005 2991 132 12 12 CD A34005 2991 133 49 49 CD A34005 2991 134 5 5 CD A34005 2991 135 16 16 CD A34005 2991 136 27 27 CD A34005 2991 137 12 12 CD A34005 2991 138 53 53 CD A34005 2991 139 5 5 CD A34005 2991 140 39 39 CD A34005 2991 141 28 28 CD A34005 2991 142 12 12 CD A34005 2991 143 57 57 CD A34005 2991 144 6 6 CD A34005 2991 145 02 02 CD A34005 2991 146 29 29 CD A34005 2991 147 13 13 CD A34005 2991 148 01 01 CD A34005 2991 149 6 6 CD A34005 2991 150 26 26 CD A34005 2991 151 30 30 CD A34005 2991 152 13 13 CD A34005 2991 153 04 04 CD A34005 2991 154 6 6 CD A34005 2991 155 49 49 CD A34005 2991 156 31 31 CD A34005 2991 157                 _SP A34005 2991 158 Dayes Dayes NNP A34005 2991 159 . . . A34005 2992 1 October October NNP A34005 2992 2 ☉ ☉ NNP A34005 2992 3 R. R. NNP A34005 2992 4 A. A. NNP A34005 2993 1 ☉ ☉ NNP A34005 2993 2 Decl Decl NNP A34005 2993 3 . . . A34005 2994 1 H. H. NNP A34005 2994 2 M. M. NNP A34005 2994 3 D. D. NNP A34005 2994 4 M. M. NNP A34005 2994 5 1 1 CD A34005 2994 6 13 13 CD A34005 2994 7 08 08 CD A34005 2994 8 7 7 CD A34005 2994 9 11 11 CD A34005 2994 10 2 2 CD A34005 2994 11 13 13 CD A34005 2994 12 12 12 CD A34005 2994 13 7 7 CD A34005 2994 14 34 34 CD A34005 2994 15 3 3 CD A34005 2994 16 13 13 CD A34005 2994 17 15 15 CD A34005 2994 18 7 7 CD A34005 2994 19 57 57 CD A34005 2994 20 4 4 CD A34005 2994 21 13 13 CD A34005 2994 22 19 19 CD A34005 2994 23 8 8 CD A34005 2994 24 19 19 CD A34005 2994 25 5 5 CD A34005 2994 26 13 13 CD A34005 2994 27 22 22 CD A34005 2994 28 8 8 CD A34005 2994 29 42 42 CD A34005 2994 30 6 6 CD A34005 2994 31 13 13 CD A34005 2994 32 26 26 CD A34005 2994 33 9 9 CD A34005 2994 34 04 04 CD A34005 2994 35 7 7 CD A34005 2994 36 13 13 CD A34005 2994 37 30 30 CD A34005 2994 38 9 9 CD A34005 2994 39 26 26 CD A34005 2994 40 8 8 CD A34005 2994 41 13 13 CD A34005 2994 42 34 34 CD A34005 2994 43 9 9 CD A34005 2994 44 48 48 CD A34005 2994 45 9 9 CD A34005 2994 46 13 13 CD A34005 2994 47 38 38 CD A34005 2994 48 10 10 CD A34005 2994 49 10 10 CD A34005 2994 50 10 10 CD A34005 2994 51 13 13 CD A34005 2994 52 41 41 CD A34005 2994 53 10 10 CD A34005 2994 54 31 31 CD A34005 2994 55 11 11 CD A34005 2994 56 13 13 CD A34005 2994 57 45 45 CD A34005 2994 58 10 10 CD A34005 2994 59 53 53 CD A34005 2994 60 12 12 CD A34005 2994 61 13 13 CD A34005 2994 62 49 49 CD A34005 2994 63 11 11 CD A34005 2994 64 14 14 CD A34005 2994 65 13 13 CD A34005 2994 66 13 13 CD A34005 2994 67 53 53 CD A34005 2994 68 11 11 CD A34005 2994 69 36 36 CD A34005 2994 70 14 14 CD A34005 2994 71 13 13 CD A34005 2994 72 57 57 CD A34005 2994 73 11 11 CD A34005 2994 74 57 57 CD A34005 2994 75 15 15 CD A34005 2994 76 14 14 CD A34005 2994 77 00 00 CD A34005 2994 78 12 12 CD A34005 2994 79 18 18 CD A34005 2994 80 16 16 CD A34005 2994 81 14 14 CD A34005 2994 82 04 04 CD A34005 2994 83 12 12 CD A34005 2994 84 38 38 CD A34005 2994 85 17 17 CD A34005 2994 86 14 14 CD A34005 2994 87 08 08 CD A34005 2994 88 12 12 CD A34005 2994 89 59 59 CD A34005 2994 90 18 18 CD A34005 2994 91 14 14 CD A34005 2994 92 12 12 CD A34005 2994 93 13 13 CD A34005 2994 94 19 19 CD A34005 2994 95 19 19 CD A34005 2994 96 14 14 CD A34005 2994 97 16 16 CD A34005 2994 98 13 13 CD A34005 2994 99 39 39 CD A34005 2994 100 20 20 CD A34005 2994 101 14 14 CD A34005 2994 102 20 20 CD A34005 2994 103 13 13 CD A34005 2994 104 59 59 CD A34005 2994 105 21 21 CD A34005 2994 106 14 14 CD A34005 2994 107 24 24 CD A34005 2994 108 14 14 CD A34005 2994 109 19 19 CD A34005 2994 110 22 22 CD A34005 2994 111 14 14 CD A34005 2994 112 28 28 CD A34005 2994 113 14 14 CD A34005 2994 114 38 38 CD A34005 2994 115 23 23 CD A34005 2994 116 14 14 CD A34005 2994 117 32 32 CD A34005 2994 118 14 14 CD A34005 2994 119 57 57 CD A34005 2994 120 24 24 CD A34005 2994 121 14 14 CD A34005 2994 122 36 36 CD A34005 2994 123 15 15 CD A34005 2994 124 16 16 CD A34005 2994 125 25 25 CD A34005 2994 126 14 14 CD A34005 2994 127 39 39 CD A34005 2994 128 15 15 CD A34005 2994 129 35 35 CD A34005 2994 130 26 26 CD A34005 2994 131 14 14 CD A34005 2994 132 43 43 CD A34005 2994 133 15 15 CD A34005 2994 134 5 5 CD A34005 2994 135 ● ● CD A34005 2994 136 27 27 CD A34005 2994 137 14 14 CD A34005 2994 138 47 47 CD A34005 2994 139 16 16 CD A34005 2994 140 1 1 CD A34005 2994 141 ● ● CD A34005 2994 142 28 28 CD A34005 2994 143 14 14 CD A34005 2994 144 51 51 CD A34005 2994 145 16 16 CD A34005 2994 146 29 29 CD A34005 2994 147 29 29 CD A34005 2994 148 14 14 CD A34005 2994 149 55 55 CD A34005 2994 150 16 16 CD A34005 2994 151 47 47 CD A34005 2994 152 30 30 CD A34005 2994 153 14 14 CD A34005 2994 154 59 59 CD A34005 2994 155 17 17 CD A34005 2994 156 04 04 CD A34005 2994 157 31 31 CD A34005 2994 158 15 15 CD A34005 2994 159 03 03 CD A34005 2994 160 17 17 CD A34005 2994 161 21 21 CD A34005 2994 162 Dayes daye NNS A34005 2994 163 . . . A34005 2995 1 November November NNP A34005 2995 2 ☉ ☉ NNPS A34005 2995 3 R. R. NNP A34005 2995 4 A. a. NN A34005 2996 1 ☉ ☉ NNP A34005 2996 2 Decl Decl NNP A34005 2996 3 . . . A34005 2997 1 H. H. NNP A34005 2997 2 M. M. NNP A34005 2997 3 D. D. NNP A34005 2997 4 M. M. NNP A34005 2997 5 1 1 CD A34005 2997 6 15 15 CD A34005 2997 7 07 07 CD A34005 2997 8 17 17 CD A34005 2997 9 38 38 CD A34005 2997 10 2 2 CD A34005 2997 11 15 15 CD A34005 2997 12 11 11 CD A34005 2997 13 17 17 CD A34005 2997 14 54 54 CD A34005 2997 15 3 3 CD A34005 2997 16 15 15 CD A34005 2997 17 15 15 CD A34005 2997 18 18 18 CD A34005 2997 19 10 10 CD A34005 2997 20 4 4 CD A34005 2997 21 15 15 CD A34005 2997 22 19 19 CD A34005 2997 23 18 18 CD A34005 2997 24 26 26 CD A34005 2997 25 5 5 CD A34005 2997 26 15 15 CD A34005 2997 27 23 23 CD A34005 2997 28 18 18 CD A34005 2997 29 41 41 CD A34005 2997 30 6 6 CD A34005 2997 31 15 15 CD A34005 2997 32 27 27 CD A34005 2997 33 18 18 CD A34005 2997 34 56 56 CD A34005 2997 35 7 7 CD A34005 2997 36 15 15 CD A34005 2997 37 31 31 CD A34005 2997 38 19 19 CD A34005 2997 39 11 11 CD A34005 2997 40 8 8 CD A34005 2997 41 15 15 CD A34005 2997 42 36 36 CD A34005 2997 43 19 19 CD A34005 2997 44 26 26 CD A34005 2997 45 9 9 CD A34005 2997 46 15 15 CD A34005 2997 47 40 40 CD A34005 2997 48 19 19 CD A34005 2997 49 40 40 CD A34005 2997 50 10 10 CD A34005 2997 51 15 15 CD A34005 2997 52 45 45 CD A34005 2997 53 19 19 CD A34005 2997 54 53 53 CD A34005 2997 55 11 11 CD A34005 2997 56 15 15 CD A34005 2997 57 49 49 CD A34005 2997 58 20 20 CD A34005 2997 59 07 07 CD A34005 2997 60 12 12 CD A34005 2997 61 15 15 CD A34005 2997 62 53 53 CD A34005 2997 63 20 20 CD A34005 2997 64 19 19 CD A34005 2997 65 13 13 CD A34005 2997 66 15 15 CD A34005 2997 67 58 58 CD A34005 2997 68 20 20 CD A34005 2997 69 32 32 CD A34005 2997 70 14 14 CD A34005 2997 71 16 16 CD A34005 2997 72 02 02 CD A34005 2997 73 20 20 CD A34005 2997 74 44 44 CD A34005 2997 75 15 15 CD A34005 2997 76 16 16 CD A34005 2997 77 07 07 CD A34005 2997 78 20 20 CD A34005 2997 79 56 56 CD A34005 2997 80 16 16 CD A34005 2997 81 16 16 CD A34005 2997 82 11 11 CD A34005 2997 83 21 21 CD A34005 2997 84 08 08 CD A34005 2997 85 17 17 CD A34005 2997 86 16 16 CD A34005 2997 87 15 15 CD A34005 2997 88 21 21 CD A34005 2997 89 19 19 CD A34005 2997 90 18 18 CD A34005 2997 91 16 16 CD A34005 2997 92 19 19 CD A34005 2997 93 21 21 CD A34005 2997 94 29 29 CD A34005 2997 95 19 19 CD A34005 2997 96 16 16 CD A34005 2997 97 23 23 CD A34005 2997 98 21 21 CD A34005 2997 99 39 39 CD A34005 2997 100 20 20 CD A34005 2997 101 16 16 CD A34005 2997 102 28 28 CD A34005 2997 103 21 21 CD A34005 2997 104 49 49 CD A34005 2997 105 21 21 CD A34005 2997 106 16 16 CD A34005 2997 107 32 32 CD A34005 2997 108 21 21 CD A34005 2997 109 58 58 CD A34005 2997 110 22 22 CD A34005 2997 111 16 16 CD A34005 2997 112 36 36 CD A34005 2997 113 22 22 CD A34005 2997 114 08 08 CD A34005 2997 115 23 23 CD A34005 2997 116 16 16 CD A34005 2997 117 40 40 CD A34005 2997 118 22 22 CD A34005 2997 119 16 16 CD A34005 2997 120 24 24 CD A34005 2997 121 16 16 CD A34005 2997 122 44 44 CD A34005 2997 123 22 22 CD A34005 2997 124 24 24 CD A34005 2997 125 25 25 CD A34005 2997 126 16 16 CD A34005 2997 127 49 49 CD A34005 2997 128 22 22 CD A34005 2997 129 32 32 CD A34005 2997 130 26 26 CD A34005 2997 131 16 16 CD A34005 2997 132 53 53 CD A34005 2997 133 22 22 CD A34005 2997 134 39 39 CD A34005 2997 135 27 27 CD A34005 2997 136 16 16 CD A34005 2997 137 57 57 CD A34005 2997 138 22 22 CD A34005 2997 139 46 46 CD A34005 2997 140 28 28 CD A34005 2997 141 17 17 CD A34005 2997 142 02 02 CD A34005 2997 143 22 22 CD A34005 2997 144 52 52 CD A34005 2997 145 29 29 CD A34005 2997 146 17 17 CD A34005 2997 147 06 06 CD A34005 2997 148 22 22 CD A34005 2997 149 58 58 CD A34005 2997 150 30 30 CD A34005 2997 151 17 17 CD A34005 2997 152 11 11 CD A34005 2997 153 23 23 CD A34005 2997 154 03 03 CD A34005 2997 155 31 31 CD A34005 2997 156                 _SP A34005 2997 157 Dayes Dayes NNP A34005 2997 158 . . . A34005 2998 1 December December NNP A34005 2998 2 . . . A34005 2999 1 ☉ ☉ NNP A34005 2999 2 R. R. NNP A34005 2999 3 A. a. NN A34005 3000 1 ☉ ☉ NNP A34005 3000 2 Decl Decl NNP A34005 3000 3 . . . A34005 3001 1 H. H. NNP A34005 3001 2 M. M. NNP A34005 3001 3 D. D. NNP A34005 3001 4 M. M. NNP A34005 3001 5 1 1 CD A34005 3001 6 17 17 CD A34005 3001 7 15 15 CD A34005 3001 8 23 23 CD A34005 3001 9 08 08 CD A34005 3001 10 2 2 CD A34005 3001 11 17 17 CD A34005 3001 12 20 20 CD A34005 3001 13 23 23 CD A34005 3001 14 13 13 CD A34005 3001 15 3 3 CD A34005 3001 16 17 17 CD A34005 3001 17 25 25 CD A34005 3001 18 23 23 CD A34005 3001 19 17 17 CD A34005 3001 20 4 4 CD A34005 3001 21 17 17 CD A34005 3001 22 29 29 CD A34005 3001 23 23 23 CD A34005 3001 24 20 20 CD A34005 3001 25 5 5 CD A34005 3001 26 17 17 CD A34005 3001 27 34 34 CD A34005 3001 28 23 23 CD A34005 3001 29 23 23 CD A34005 3001 30 6 6 CD A34005 3001 31 17 17 CD A34005 3001 32 38 38 CD A34005 3001 33 23 23 CD A34005 3001 34 26 26 CD A34005 3001 35 7 7 CD A34005 3001 36 17 17 CD A34005 3001 37 42 42 CD A34005 3001 38 23 23 CD A34005 3001 39 28 28 CD A34005 3001 40 8 8 CD A34005 3001 41 17 17 CD A34005 3001 42 47 47 CD A34005 3001 43 23 23 CD A34005 3001 44 29 29 CD A34005 3001 45 9 9 CD A34005 3001 46 17 17 CD A34005 3001 47 51 51 CD A34005 3001 48 23 23 CD A34005 3001 49 30 30 CD A34005 3001 50 10 10 CD A34005 3001 51 17 17 CD A34005 3001 52 56 56 CD A34005 3001 53 23 23 CD A34005 3001 54 31 31 CD A34005 3001 55 11 11 CD A34005 3001 56 18 18 CD A34005 3001 57 00 00 CD A34005 3001 58 23 23 CD A34005 3001 59 31½ 31½ CD A34005 3001 60 12 12 CD A34005 3001 61 18 18 CD A34005 3001 62 05 05 CD A34005 3001 63 23 23 CD A34005 3001 64 31 31 CD A34005 3001 65 13 13 CD A34005 3001 66 18 18 CD A34005 3001 67 09 09 CD A34005 3001 68 23 23 CD A34005 3001 69 30 30 CD A34005 3001 70 14 14 CD A34005 3001 71 18 18 CD A34005 3001 72 14 14 CD A34005 3001 73 23 23 CD A34005 3001 74 29 29 CD A34005 3001 75 15 15 CD A34005 3001 76 18 18 CD A34005 3001 77 19 19 CD A34005 3001 78 23 23 CD A34005 3001 79 27 27 CD A34005 3001 80 16 16 CD A34005 3001 81 18 18 CD A34005 3001 82 24 24 CD A34005 3001 83 23 23 CD A34005 3001 84 25 25 CD A34005 3001 85 17 17 CD A34005 3001 86 18 18 CD A34005 3001 87 28 28 CD A34005 3001 88 23 23 CD A34005 3001 89 22 22 CD A34005 3001 90 18 18 CD A34005 3001 91 18 18 CD A34005 3001 92 33 33 CD A34005 3001 93 23 23 CD A34005 3001 94 19 19 CD A34005 3001 95 19 19 CD A34005 3001 96 18 18 CD A34005 3001 97 37 37 CD A34005 3001 98 23 23 CD A34005 3001 99 15 15 CD A34005 3001 100 20 20 CD A34005 3001 101 18 18 CD A34005 3001 102 41 41 CD A34005 3001 103 23 23 CD A34005 3001 104 11 11 CD A34005 3001 105 21 21 CD A34005 3001 106 18 18 CD A34005 3001 107 45 45 CD A34005 3001 108 23 23 CD A34005 3001 109 07 07 CD A34005 3001 110 22 22 CD A34005 3001 111 18 18 CD A34005 3001 112 49 49 CD A34005 3001 113 23 23 CD A34005 3001 114 02 02 CD A34005 3001 115 23 23 CD A34005 3001 116 18 18 CD A34005 3001 117 54 54 CD A34005 3001 118 22 22 CD A34005 3001 119 56 56 CD A34005 3001 120 24 24 CD A34005 3001 121 18 18 CD A34005 3001 122 58 58 CD A34005 3001 123 22 22 CD A34005 3001 124 50 50 CD A34005 3001 125 25 25 CD A34005 3001 126 19 19 CD A34005 3001 127 03 03 CD A34005 3001 128 22 22 CD A34005 3001 129 43 43 CD A34005 3001 130 26 26 CD A34005 3001 131 19 19 CD A34005 3001 132 07 07 CD A34005 3001 133 22 22 CD A34005 3001 134 36 36 CD A34005 3001 135 27 27 CD A34005 3001 136 19 19 CD A34005 3001 137 11 11 CD A34005 3001 138 22 22 CD A34005 3001 139 29 29 CD A34005 3001 140 28 28 CD A34005 3001 141 19 19 CD A34005 3001 142 16 16 CD A34005 3001 143 22 22 CD A34005 3001 144 21 21 CD A34005 3001 145 29 29 CD A34005 3001 146 19 19 CD A34005 3001 147 20 20 CD A34005 3001 148 22 22 CD A34005 3001 149 13 13 CD A34005 3001 150 30 30 CD A34005 3001 151 19 19 CD A34005 3001 152 25 25 CD A34005 3001 153 22 22 CD A34005 3001 154 04 04 CD A34005 3001 155 31 31 CD A34005 3001 156 19 19 CD A34005 3001 157 30 30 CD A34005 3001 158 21 21 CD A34005 3001 159 55 55 CD A34005 3001 160 A a DT A34005 3001 161 Rectifying rectify VBG A34005 3001 162 Table table NN A34005 3001 163 for for IN A34005 3001 164 the the DT A34005 3001 165 Suns Suns NNPS A34005 3001 166 Declination Declination NNP A34005 3001 167 . . . A34005 3002 1 Years year NNS A34005 3002 2 Years Years NNPS A34005 3002 3 Years year NNS A34005 3002 4     _SP A34005 3002 5 1657 1657 CD A34005 3002 6 1661 1661 CD A34005 3002 7 1665 1665 CD A34005 3002 8 1669 1669 CD A34005 3002 9 1673 1673 CD A34005 3002 10 1659 1659 CD A34005 3002 11 1663 1663 CD A34005 3002 12 1667 1667 CD A34005 3002 13 1671 1671 CD A34005 3002 14 1675 1675 CD A34005 3002 15 1660 1660 CD A34005 3002 16 1664 1664 CD A34005 3002 17 1668 1668 CD A34005 3002 18 1672 1672 CD A34005 3002 19 1676 1676 CD A34005 3002 20 Moneths moneth NNS A34005 3002 21 min min NN A34005 3002 22 . . . A34005 3003 1 min min NNP A34005 3003 2 . . . A34005 3004 1 min min NNP A34005 3004 2 . . . A34005 3005 1 January January NNP A34005 3005 2 3 3 CD A34005 3005 3 s s NN A34005 3005 4 2 2 CD A34005 3005 5 a a DT A34005 3005 6 5 5 CD A34005 3005 7 a a DT A34005 3005 8 4 4 CD A34005 3005 9 s s NN A34005 3005 10 3 3 CD A34005 3005 11 a a DT A34005 3005 12 7 7 CD A34005 3005 13 a a DT A34005 3005 14 5 5 CD A34005 3005 15 s s NN A34005 3005 16 4 4 CD A34005 3005 17 a a DT A34005 3005 18 9 9 CD A34005 3005 19 a a DT A34005 3005 20 February February NNP A34005 3005 21 5 5 CD A34005 3005 22 s s NNP A34005 3005 23 5 5 CD A34005 3005 24 a a DT A34005 3005 25 10 10 CD A34005 3005 26 a a DT A34005 3005 27 5 5 CD A34005 3005 28 s s NNP A34005 3005 29 5 5 CD A34005 3005 30 a a DT A34005 3005 31 11 11 CD A34005 3005 32 a a DT A34005 3005 33 6 6 CD A34005 3005 34 s s NN A34005 3005 35 5 5 CD A34005 3005 36 a a DT A34005 3005 37 11 11 CD A34005 3005 38 a a DT A34005 3005 39 March March NNP A34005 3005 40 6 6 CD A34005 3005 41 s s NNP A34005 3005 42 5 5 CD A34005 3005 43 a a DT A34005 3005 44 13 13 CD A34005 3005 45 s s NN A34005 3005 46 5 5 CD A34005 3005 47 a a DT A34005 3005 48 5 5 CD A34005 3005 49 s s NNP A34005 3005 50 12 12 CD A34005 3005 51 a a DT A34005 3005 52 5 5 CD A34005 3005 53 a a DT A34005 3005 54 5 5 CD A34005 3005 55 s s NNP A34005 3005 56 12 12 CD A34005 3005 57 a a DT A34005 3005 58 April April NNP A34005 3005 59 5 5 CD A34005 3005 60 a a DT A34005 3005 61 5 5 CD A34005 3005 62 s s NNP A34005 3005 63 11 11 CD A34005 3005 64 a a DT A34005 3005 65 5 5 CD A34005 3005 66 a a DT A34005 3005 67 5 5 CD A34005 3005 68 s s NNP A34005 3005 69 10 10 CD A34005 3005 70 a a DT A34005 3005 71 4 4 CD A34005 3005 72 a a DT A34005 3005 73 4 4 CD A34005 3005 74 s s NN A34005 3005 75 9 9 CD A34005 3005 76 a a DT A34005 3005 77 May May NNP A34005 3005 78 4 4 CD A34005 3005 79 a a DT A34005 3005 80 4 4 CD A34005 3005 81 s s NN A34005 3005 82 8 8 CD A34005 3005 83 a a DT A34005 3005 84 3 3 CD A34005 3005 85 a a DT A34005 3005 86 3 3 CD A34005 3005 87 s s NN A34005 3005 88 6 6 CD A34005 3005 89 a a DT A34005 3005 90 2 2 CD A34005 3005 91 a a DT A34005 3005 92 2 2 CD A34005 3005 93 s s NN A34005 3005 94 4 4 CD A34005 3005 95 a a DT A34005 3005 96 June June NNP A34005 3005 97 1 1 CD A34005 3005 98 a a DT A34005 3005 99 1 1 CD A34005 3005 100 s s NN A34005 3005 101 2 2 CD A34005 3005 102 a a DT A34005 3005 103 0 0 CD A34005 3005 104 s s NN A34005 3005 105 0 0 CD A34005 3005 106 a a NN A34005 3005 107 0 0 CD A34005 3005 108 s s NNP A34005 3005 109 1 1 CD A34005 3005 110 s s NNP A34005 3005 111 1 1 CD A34005 3005 112 a a DT A34005 3005 113 3 3 CD A34005 3005 114 s s NN A34005 3005 115 July July NNP A34005 3005 116 2 2 CD A34005 3005 117 s s NNP A34005 3005 118 2 2 CD A34005 3005 119 a a DT A34005 3005 120 5 5 CD A34005 3005 121 s s NNP A34005 3005 122 3 3 CD A34005 3005 123 s s NNP A34005 3005 124 3 3 CD A34005 3005 125 a a DT A34005 3005 126 7 7 CD A34005 3005 127 s s NNP A34005 3005 128 4 4 CD A34005 3005 129 s s NNP A34005 3005 130 4 4 CD A34005 3005 131 a a DT A34005 3005 132 9 9 CD A34005 3005 133 s s NN A34005 3005 134 August August NNP A34005 3005 135 . . . A34005 3006 1 5 5 CD A34005 3006 2 s s NNP A34005 3006 3 5 5 CD A34005 3006 4 a a DT A34005 3006 5 10 10 CD A34005 3006 6 s s NNP A34005 3006 7 5 5 CD A34005 3006 8 s s NNP A34005 3006 9 5 5 CD A34005 3006 10 a a DT A34005 3006 11 11 11 CD A34005 3006 12 s s NNP A34005 3006 13 6 6 CD A34005 3006 14 s s NNP A34005 3006 15 5 5 CD A34005 3006 16 a a DT A34005 3006 17 12 12 CD A34005 3006 18 s s NN A34005 3006 19 Septēber septēber NN A34005 3006 20 6 6 CD A34005 3006 21 s s NNP A34005 3006 22 5 5 CD A34005 3006 23 a a DT A34005 3006 24 13 13 CD A34005 3006 25 s s NN A34005 3006 26 6 6 CD A34005 3006 27 a a DT A34005 3006 28 5 5 CD A34005 3006 29 s s NNP A34005 3006 30 13 13 CD A34005 3006 31 a a DT A34005 3006 32 6 6 CD A34005 3006 33 a a DT A34005 3006 34 5 5 CD A34005 3006 35 s s NNP A34005 3006 36 12 12 CD A34005 3006 37 a a DT A34005 3006 38 October October NNP A34005 3006 39 6 6 CD A34005 3006 40 a a DT A34005 3006 41 5 5 CD A34005 3006 42 s s NNP A34005 3006 43 12 12 CD A34005 3006 44 a a DT A34005 3006 45 5 5 CD A34005 3006 46 a a DT A34005 3006 47 5 5 CD A34005 3006 48 s s NNP A34005 3006 49 11 11 CD A34005 3006 50 a a DT A34005 3006 51 4 4 CD A34005 3006 52 a a DT A34005 3006 53 5 5 CD A34005 3006 54 s s NN A34005 3006 55 9 9 CD A34005 3006 56 a a DT A34005 3006 57 Novem Novem NNP A34005 3006 58 . . . A34005 3007 1 3 3 CD A34005 3007 2 a a DT A34005 3007 3 4 4 CD A34005 3007 4 s s NN A34005 3007 5 7 7 CD A34005 3007 6 a a DT A34005 3007 7 2 2 CD A34005 3007 8 a a DT A34005 3007 9 3 3 CD A34005 3007 10 s s NNP A34005 3007 11 5 5 CD A34005 3007 12 a a DT A34005 3007 13 1 1 CD A34005 3007 14 a a DT A34005 3007 15 2 2 CD A34005 3007 16 s s NN A34005 3007 17 3 3 CD A34005 3007 18 a a DT A34005 3007 19 Decemb Decemb NNP A34005 3007 20 . . . A34005 3008 1 0 0 NFP A34005 3008 2 a a DT A34005 3008 3 1 1 CD A34005 3008 4 s s NN A34005 3008 5 1 1 CD A34005 3008 6 a a DT A34005 3008 7 1 1 CD A34005 3008 8 s s NN A34005 3008 9 0 0 CD A34005 3008 10 a a DT A34005 3008 11 1 1 CD A34005 3008 12 s s NNP A34005 3008 13 2 2 CD A34005 3008 14 s s NNP A34005 3008 15 1 1 CD A34005 3008 16 a a DT A34005 3008 17 3 3 CD A34005 3008 18 s s NN A34005 3008 19 The the DT A34005 3008 20 use use NN A34005 3008 21 of of IN A34005 3008 22 the the DT A34005 3008 23 Rectifying Rectifying NNP A34005 3008 24 Table Table NNP A34005 3008 25 . . . A34005 3009 1 NOte note VB A34005 3009 2 that that IN A34005 3009 3 the the DT A34005 3009 4 minutes minute NNS A34005 3009 5 under under IN A34005 3009 6 the the DT A34005 3009 7 respective respective JJ A34005 3009 8 years year NNS A34005 3009 9 is be VBZ A34005 3009 10 to to TO A34005 3009 11 be be VB A34005 3009 12 added add VBN A34005 3009 13 or or CC A34005 3009 14 substracted substracte VBN A34005 3009 15 to to IN A34005 3009 16 or or CC A34005 3009 17 from from IN A34005 3009 18 the the DT A34005 3009 19 Suns Suns NNPS A34005 3009 20 Declination Declination NNP A34005 3009 21 in in IN A34005 3009 22 the the DT A34005 3009 23 former former JJ A34005 3009 24 Table table NN A34005 3009 25 , , , A34005 3009 26 as as IN A34005 3009 27 is be VBZ A34005 3009 28 noted note VBN A34005 3009 29 with with IN A34005 3009 30 the the DT A34005 3009 31 letter letter NN A34005 3009 32 a a NNP A34005 3009 33 or or CC A34005 3009 34 s s NN A34005 3009 35 : : : A34005 3009 36 and and CC A34005 3009 37 also also RB A34005 3009 38 note note VB A34005 3009 39 that that IN A34005 3009 40 the the DT A34005 3009 41 first first JJ A34005 3009 42 figure figure NN A34005 3009 43 in in IN A34005 3009 44 each each DT A34005 3009 45 moneth moneth NN A34005 3009 46 stands stand VBZ A34005 3009 47 for for IN A34005 3009 48 the the DT A34005 3009 49 first first JJ A34005 3009 50 10 10 CD A34005 3009 51 dayes daye NNS A34005 3009 52 of of IN A34005 3009 53 the the DT A34005 3009 54 moneth moneth NN A34005 3009 55 , , , A34005 3009 56 and and CC A34005 3009 57 the the DT A34005 3009 58 second second JJ A34005 3009 59 for for IN A34005 3009 60 the the DT A34005 3009 61 second second JJ A34005 3009 62 10 10 CD A34005 3009 63 days day NNS A34005 3009 64 , , , A34005 3009 65 & & CC A34005 3009 66 the the DT A34005 3009 67 third third JJ A34005 3009 68 for for IN A34005 3009 69 the the DT A34005 3009 70 last last JJ A34005 3009 71 10 10 CD A34005 3009 72 dayes daye NNS A34005 3009 73 , , , A34005 3009 74 except except IN A34005 3009 75 in in IN A34005 3009 76 March March NNP A34005 3009 77 or or CC A34005 3009 78 September September NNP A34005 3009 79 , , , A34005 3009 80 which which WDT A34005 3009 81 in in IN A34005 3009 82 March March NNP A34005 3009 83 will will MD A34005 3009 84 be be VB A34005 3009 85 the the DT A34005 3009 86 first first JJ A34005 3009 87 9 9 CD A34005 3009 88 dayes daye NNS A34005 3009 89 only only RB A34005 3009 90 , , , A34005 3009 91 and and CC A34005 3009 92 in in IN A34005 3009 93 September September NNP A34005 3009 94 the the DT A34005 3009 95 first first JJ A34005 3009 96 12 12 CD A34005 3009 97 dayes daye NNS A34005 3009 98 . . . A34005 3010 1 Example example NN A34005 3010 2 . . . A34005 3011 1 I -PRON- PRP A34005 3011 2 would would MD A34005 3011 3 know know VB A34005 3011 4 the the DT A34005 3011 5 Suns Suns NNPS A34005 3011 6 Declination Declination NNP A34005 3011 7 the the DT A34005 3011 8 15 15 CD A34005 3011 9 day day NN A34005 3011 10 of of IN A34005 3011 11 May May NNP A34005 3011 12 1668 1668 CD A34005 3011 13 . . . A34005 3012 1 Now now RB A34005 3012 2 because because IN A34005 3012 3 this this DT A34005 3012 4 day day NN A34005 3012 5 of of IN A34005 3012 6 the the DT A34005 3012 7 moneth moneth NN A34005 3012 8 falls fall VBZ A34005 3012 9 in in IN A34005 3012 10 the the DT A34005 3012 11 second second JJ A34005 3012 12 10 10 CD A34005 3012 13 dayes daye NNS A34005 3012 14 , , , A34005 3012 15 I -PRON- PRP A34005 3012 16 look look VBP A34005 3012 17 in in IN A34005 3012 18 the the DT A34005 3012 19 Table table NN A34005 3012 20 under under IN A34005 3012 21 the the DT A34005 3012 22 year year NN A34005 3012 23 1663 1663 CD A34005 3012 24 , , , A34005 3012 25 and and CC A34005 3012 26 right right RB A34005 3012 27 against against IN A34005 3012 28 May May NNP A34005 3012 29 you -PRON- PRP A34005 3012 30 shall shall MD A34005 3012 31 finde finde VB A34005 3012 32 that that DT A34005 3012 33 in in IN A34005 3012 34 the the DT A34005 3012 35 second second JJ A34005 3012 36 place place NN A34005 3012 37 of of IN A34005 3012 38 the the DT A34005 3012 39 moneth moneth NN A34005 3012 40 stands stand VBZ A34005 3012 41 6 6 CD A34005 3012 42 a a DT A34005 3012 43 , , , A34005 3012 44 which which WDT A34005 3012 45 shews shew VBZ A34005 3012 46 me -PRON- PRP A34005 3012 47 that that IN A34005 3012 48 I -PRON- PRP A34005 3012 49 must must MD A34005 3012 50 adde adde VB A34005 3012 51 6 6 CD A34005 3012 52 minutes minute NNS A34005 3012 53 to to IN A34005 3012 54 the the DT A34005 3012 55 Suns Suns NNP A34005 3012 56 Declination Declination NNP A34005 3012 57 in in IN A34005 3012 58 the the DT A34005 3012 59 former former JJ A34005 3012 60 Table Table NNP A34005 3012 61 21 21 CD A34005 3012 62 degrees degree NNS A34005 3012 63 5 5 CD A34005 3012 64 min min NN A34005 3012 65 . . . A34005 3013 1 that that DT A34005 3013 2 stands stand VBZ A34005 3013 3 against against IN A34005 3013 4 the the DT A34005 3013 5 15 15 CD A34005 3013 6 day day NN A34005 3013 7 of of IN A34005 3013 8 May May NNP A34005 3013 9 , , , A34005 3013 10 and and CC A34005 3013 11 then then RB A34005 3013 12 I -PRON- PRP A34005 3013 13 find find VBP A34005 3013 14 that that IN A34005 3013 15 the the DT A34005 3013 16 Sun Sun NNP A34005 3013 17 will will MD A34005 3013 18 have have VB A34005 3013 19 21 21 CD A34005 3013 20 deg deg NN A34005 3013 21 . . . A34005 3014 1 11 11 CD A34005 3014 2 min min NN A34005 3014 3 . . . A34005 3015 1 of of IN A34005 3015 2 North North NNP A34005 3015 3 Declination Declination NNP A34005 3015 4 , , , A34005 3015 5 and and CC A34005 3015 6 so so RB A34005 3015 7 for for IN A34005 3015 8 the the DT A34005 3015 9 rest rest NN A34005 3015 10 , , , A34005 3015 11 which which WDT A34005 3015 12 will will MD A34005 3015 13 never never RB A34005 3015 14 differ differ VB A34005 3015 15 above above IN A34005 3015 16 two two CD A34005 3015 17 minutes minute NNS A34005 3015 18 from from IN A34005 3015 19 the the DT A34005 3015 20 truth truth NN A34005 3015 21 , , , A34005 3015 22 but but CC A34005 3015 23 seldome seldome VB A34005 3015 24 so so RB A34005 3015 25 much much RB A34005 3015 26 , , , A34005 3015 27 and and CC A34005 3015 28 for for IN A34005 3015 29 the the DT A34005 3015 30 most most JJS A34005 3015 31 part part NN A34005 3015 32 true true JJ A34005 3015 33 . . . A34005 3016 1 Note note VB A34005 3016 2 that that IN A34005 3016 3 the the DT A34005 3016 4 former former JJ A34005 3016 5 Table table NN A34005 3016 6 of of IN A34005 3016 7 the the DT A34005 3016 8 Suns Suns NNP A34005 3016 9 Declination Declination NNP A34005 3016 10 is be VBZ A34005 3016 11 fitted fit VBN A34005 3016 12 exactly exactly RB A34005 3016 13 for for IN A34005 3016 14 the the DT A34005 3016 15 year year NN A34005 3016 16 1666 1666 CD A34005 3016 17 . . . A34005 3016 18 by by IN A34005 3016 19 the the DT A34005 3016 20 Rules Rules NNPS A34005 3016 21 Mr. Mr. NNP A34005 3016 22 Wright Wright NNP A34005 3016 23 gives give VBZ A34005 3016 24 in in IN A34005 3016 25 his -PRON- PRP$ A34005 3016 26 Correction Correction NNP A34005 3016 27 of of IN A34005 3016 28 Errours Errours NNP A34005 3016 29 , , , A34005 3016 30 and and CC A34005 3016 31 from from IN A34005 3016 32 his -PRON- PRP$ A34005 3016 33 Tables Tables NNPS A34005 3016 34 , , , A34005 3016 35 and and CC A34005 3016 36 may may MD A34005 3016 37 indifferently indifferently RB A34005 3016 38 serve serve VB A34005 3016 39 for for IN A34005 3016 40 the the DT A34005 3016 41 years year NNS A34005 3016 42 1658 1658 CD A34005 3016 43 , , , A34005 3016 44 1662 1662 CD A34005 3016 45 . . . A34005 3017 1 1670 1670 CD A34005 3017 2 , , , A34005 3017 3 1674 1674 CD A34005 3017 4 , , , A34005 3017 5 without without IN A34005 3017 6 any any DT A34005 3017 7 sensible sensible JJ A34005 3017 8 errour errour NN A34005 3017 9 , , , A34005 3017 10 and and CC A34005 3017 11 the the DT A34005 3017 12 Table Table NNP A34005 3017 13 of of IN A34005 3017 14 Right Right NNP A34005 3017 15 Ascensions Ascensions NNPS A34005 3017 16 will will MD A34005 3017 17 not not RB A34005 3017 18 vary vary VB A34005 3017 19 a a DT A34005 3017 20 minute minute NN A34005 3017 21 of of IN A34005 3017 22 time time NN A34005 3017 23 in in IN A34005 3017 24 many many JJ A34005 3017 25 years year NNS A34005 3017 26 . . . A34005 3018 1 FINIS FINIS NNP A34005 3018 2 . . . A34005 3019 1 Errours errour NNS A34005 3019 2 in in IN A34005 3019 3 the the DT A34005 3019 4 Horizontal Horizontal NNP A34005 3019 5 Quadrant Quadrant NNP A34005 3019 6 . . . A34005 3020 1 PAge PAge NNP A34005 3020 2 5 5 CD A34005 3020 3 line line NN A34005 3020 4 6 6 CD A34005 3020 5 in in IN A34005 3020 6 an an DT A34005 3020 7 Italian italian JJ A34005 3020 8 letter letter NN A34005 3020 9 should should MD A34005 3020 10 not not RB A34005 3020 11 have have VB A34005 3020 12 been be VBN A34005 3020 13 distinct distinct JJ A34005 3020 14 , , , A34005 3020 15 nor nor CC A34005 3020 16 in in IN A34005 3020 17 another another DT A34005 3020 18 letter letter NN A34005 3020 19 from from IN A34005 3020 20 the the DT A34005 3020 21 former former JJ A34005 3020 22 line line NN A34005 3020 23 . . . A34005 3021 1 page page NN A34005 3021 2 5 5 CD A34005 3021 3 . . . A34005 3021 4 line line NN A34005 3021 5 9 9 CD A34005 3021 6 . . . A34005 3021 7 for for IN A34005 3021 8 quarter quarter NN A34005 3021 9 , , , A34005 3021 10 read read VB A34005 3021 11 half half NN A34005 3021 12 . . . A34005 3022 1 p. p. NN A34005 3022 2 5 5 CD A34005 3022 3 . . . A34005 3022 4 l. l. NNP A34005 3022 5 13 13 CD A34005 3022 6 . . . A34005 3022 7 r. r. NNP A34005 3022 8 of of IN A34005 3022 9 a a DT A34005 3022 10 quadrant quadrant NN A34005 3022 11 . . . A34005 3023 1 p. p. NN A34005 3023 2 11 11 CD A34005 3023 3 . . . A34005 3023 4 l. l. NNP A34005 3023 5 7 7 CD A34005 3023 6 . . . A34005 3023 7 r. r. NNP A34005 3023 8 63 63 CD A34005 3023 9 d. d. NNP A34005 3023 10 26′ 26′ CD A34005 3023 11 . . . A34005 3024 1 p. p. NN A34005 3024 2 19 19 CD A34005 3024 3 . . . A34005 3024 4 l. l. NNP A34005 3024 5 7 7 CD A34005 3024 6 . . . A34005 3024 7 r. r. NNP A34005 3024 8 the the DT A34005 3024 9 same same JJ A34005 3024 10 day day NN A34005 3024 11 to to IN A34005 3024 12 . . . A34005 3025 1 p. p. NN A34005 3025 2 23 23 CD A34005 3025 3 . . . A34005 3025 4 l. l. NNP A34005 3025 5 17 17 CD A34005 3025 6 . . . A34005 3025 7 r. r. NNP A34005 3025 8 and and CC A34005 3025 9 ends end VBZ A34005 3025 10 at at IN A34005 3025 11 32′ 32′ CD A34005 3025 12 past past IN A34005 3025 13 9 9 CD A34005 3025 14 . . . A34005 3025 15 p. p. NN A34005 3025 16 27 27 CD A34005 3025 17 . . . A34005 3025 18 l. l. NNP A34005 3025 19 7 7 CD A34005 3025 20 . . . A34005 3025 21 for for IN A34005 3025 22 N N NNP A34005 3025 23 R R NNP A34005 3025 24 , , , A34005 3025 25 r. r. NNP A34005 3025 26 N N NNP A34005 3025 27 Z. Z. NNP A34005 3025 28 p. p. NN A34005 3025 29 28 28 CD A34005 3025 30 . . . A34005 3025 31 l. l. NNP A34005 3025 32 4 4 CD A34005 3025 33 . . . A34005 3025 34 r. r. NNP A34005 3025 35 in in IN A34005 3025 36 the the DT A34005 3025 37 parallel parallel NN A34005 3025 38 . . . A34005 3026 1 p. p. NN A34005 3026 2 30 30 CD A34005 3026 3 . . . A34005 3026 4 l. l. NNP A34005 3026 5 9 9 CD A34005 3026 6 , , , A34005 3026 7 & & CC A34005 3026 8 l. l. NNP A34005 3026 9 10 10 CD A34005 3026 10 . . . A34005 3026 11 r. r. NNP A34005 3026 12 23 23 CD A34005 3026 13 d. d. NNP A34005 3026 14 31′ 31′ CD A34005 3026 15 . . . A34005 3027 1 p. p. NN A34005 3027 2 38 38 CD A34005 3027 3 . . . A34005 3027 4 l. l. NNP A34005 3027 5 4 4 CD A34005 3027 6 . . . A34005 3027 7 r. r. NNP A34005 3027 8 Is be VBZ A34005 3027 9 to to IN A34005 3027 10 the the DT A34005 3027 11 sine sine NN A34005 3027 12 . . . A34005 3028 1 p. p. NN A34005 3028 2 50 50 CD A34005 3028 3 . . . A34005 3028 4 l. l. NNP A34005 3028 5 5 5 CD A34005 3028 6 . . . A34005 3028 7 r. r. NNP A34005 3028 8 whereof whereof NNP A34005 3028 9 the the DT A34005 3028 10 Diameter Diameter NNP A34005 3028 11 . . . A34005 3029 1 AN an DT A34005 3029 2 APPENDIX APPENDIX NNP A34005 3029 3 Touching touch VBG A34005 3029 4 REFLECTIVE reflective JJ A34005 3029 5 DIALLING dialling NN A34005 3029 6 . . . A34005 3030 1 By by IN A34005 3030 2 JOHN JOHN NNP A34005 3030 3 LYON LYON NNP A34005 3030 4 : : : A34005 3030 5 Professor Professor NNP A34005 3030 6 of of IN A34005 3030 7 this this DT A34005 3030 8 , , , A34005 3030 9 or or CC A34005 3030 10 any any DT A34005 3030 11 other other JJ A34005 3030 12 part part NN A34005 3030 13 of of IN A34005 3030 14 the the DT A34005 3030 15 Mathematicks Mathematicks NNP A34005 3030 16 , , , A34005 3030 17 neer neer NN A34005 3030 18 Sommerset Sommerset NNP A34005 3030 19 House House NNP A34005 3030 20 in in IN A34005 3030 21 the the DT A34005 3030 22 Strand Strand NNP A34005 3030 23 . . . A34005 3031 1 LONDON LONDON NNP A34005 3031 2 , , , A34005 3031 3 Printed Printed NNP A34005 3031 4 Anno Anno NNP A34005 3031 5 Domini Domini NNP A34005 3031 6 , , , A34005 3031 7 1658 1658 CD A34005 3031 8 . . . A34005 3032 1 DIRECT direct JJ A34005 3032 2 DIALLING dialling NN A34005 3032 3 By by IN A34005 3032 4 a a DT A34005 3032 5 Hole Hole NNP A34005 3032 6 or or CC A34005 3032 7 Nodus Nodus NNP A34005 3032 8 . . . A34005 3033 1 To to TO A34005 3033 2 draw draw VB A34005 3033 3 a a DT A34005 3033 4 Dial dial NN A34005 3033 5 under under IN A34005 3033 6 any any DT A34005 3033 7 window window NN A34005 3033 8 that that WDT A34005 3033 9 the the DT A34005 3033 10 Sun Sun NNP A34005 3033 11 shines shine VBZ A34005 3033 12 upon upon IN A34005 3033 13 by by IN A34005 3033 14 help help NN A34005 3033 15 of of IN A34005 3033 16 a a DT A34005 3033 17 thread thread NN A34005 3033 18 fastened fasten VBN A34005 3033 19 in in IN A34005 3033 20 any any DT A34005 3033 21 point point NN A34005 3033 22 of of IN A34005 3033 23 the the DT A34005 3033 24 direct direct JJ A34005 3033 25 Axis Axis NNP A34005 3033 26 found find VBN A34005 3033 27 in in IN A34005 3033 28 the the DT A34005 3033 29 Ceiling Ceiling NNP A34005 3033 30 , , , A34005 3033 31 and and CC A34005 3033 32 a a DT A34005 3033 33 hole hole NN A34005 3033 34 in in IN A34005 3033 35 any any DT A34005 3033 36 pane pane NN A34005 3033 37 of of IN A34005 3033 38 glasse glasse NNP A34005 3033 39 , , , A34005 3033 40 or or CC A34005 3033 41 a a DT A34005 3033 42 knob knob NN A34005 3033 43 or or CC A34005 3033 44 Nodus nodus NN A34005 3033 45 upon upon IN A34005 3033 46 any any DT A34005 3033 47 side side NN A34005 3033 48 of of IN A34005 3033 49 the the DT A34005 3033 50 window window NN A34005 3033 51 or or CC A34005 3033 52 window window NN A34005 3033 53 - - HYPH A34005 3033 54 post post NN A34005 3033 55 . . . A34005 3034 1 CONSTRUCTIO CONSTRUCTIO NNS A34005 3034 2 . . . A34005 3035 1 FIrst first RB A34005 3035 2 , , , A34005 3035 3 draw draw VB A34005 3035 4 on on IN A34005 3035 5 pastboard pastboard NN A34005 3035 6 or or CC A34005 3035 7 other other JJ A34005 3035 8 material material NN A34005 3035 9 , , , A34005 3035 10 an an DT A34005 3035 11 Horizontal Horizontal NNP A34005 3035 12 Dial Dial NNP A34005 3035 13 for for IN A34005 3035 14 the the DT A34005 3035 15 Latitude Latitude NNP A34005 3035 16 proposed propose VBD A34005 3035 17 . . . A34005 3036 1 Then then RB A34005 3036 2 by by IN A34005 3036 3 help help NN A34005 3036 4 of of IN A34005 3036 5 the the DT A34005 3036 6 Suns Suns NNPS A34005 3036 7 Azimuth Azimuth NNP A34005 3036 8 , , , A34005 3036 9 which which WDT A34005 3036 10 may may MD A34005 3036 11 be be VB A34005 3036 12 found find VBN A34005 3036 13 by by IN A34005 3036 14 help help NN A34005 3036 15 of of IN A34005 3036 16 a a DT A34005 3036 17 general general JJ A34005 3036 18 Quadrant Quadrant NNP A34005 3036 19 , , , A34005 3036 20 at at IN A34005 3036 21 any any DT A34005 3036 22 time time NN A34005 3036 23 , , , A34005 3036 24 or or CC A34005 3036 25 by by IN A34005 3036 26 knowing know VBG A34005 3036 27 the the DT A34005 3036 28 true true JJ A34005 3036 29 hour hour NN A34005 3036 30 of of IN A34005 3036 31 the the DT A34005 3036 32 day day NN A34005 3036 33 with with IN A34005 3036 34 the the DT A34005 3036 35 help help NN A34005 3036 36 of of IN A34005 3036 37 the the DT A34005 3036 38 said say VBN A34005 3036 39 Horizontal Horizontal NNP A34005 3036 40 Dial Dial NNP A34005 3036 41 : : : A34005 3036 42 and and CC A34005 3036 43 draw draw VB A34005 3036 44 that that IN A34005 3036 45 true true JJ A34005 3036 46 Meridian Meridian NNP A34005 3036 47 from from IN A34005 3036 48 the the DT A34005 3036 49 hole hole NN A34005 3036 50 or or CC A34005 3036 51 Nodus Nodus NNP A34005 3036 52 proposed propose VBD A34005 3036 53 , , , A34005 3036 54 both both DT A34005 3036 55 above above IN A34005 3036 56 on on IN A34005 3036 57 the the DT A34005 3036 58 Cieling cieling NN A34005 3036 59 , , , A34005 3036 60 and and CC A34005 3036 61 below below RB A34005 3036 62 on on IN A34005 3036 63 the the DT A34005 3036 64 walls wall NNS A34005 3036 65 and and CC A34005 3036 66 floor floor NN A34005 3036 67 of of IN A34005 3036 68 the the DT A34005 3036 69 Room Room NNP A34005 3036 70 ; ; : A34005 3036 71 so so CC A34005 3036 72 that that IN A34005 3036 73 if if IN A34005 3036 74 a a DT A34005 3036 75 right right JJ A34005 3036 76 line line NN A34005 3036 77 were be VBD A34005 3036 78 extended extend VBN A34005 3036 79 from from IN A34005 3036 80 the the DT A34005 3036 81 said say VBN A34005 3036 82 hole hole NN A34005 3036 83 or or CC A34005 3036 84 Nodus Nodus NNP A34005 3036 85 by by IN A34005 3036 86 any any DT A34005 3036 87 point point NN A34005 3036 88 in in IN A34005 3036 89 any any DT A34005 3036 90 of of IN A34005 3036 91 those those DT A34005 3036 92 lines line NNS A34005 3036 93 , , , A34005 3036 94 it -PRON- PRP A34005 3036 95 would would MD A34005 3036 96 be be VB A34005 3036 97 in in IN A34005 3036 98 the the DT A34005 3036 99 meridian meridian JJ A34005 3036 100 Circle Circle NNP A34005 3036 101 of of IN A34005 3036 102 the the DT A34005 3036 103 World World NNP A34005 3036 104 . . . A34005 3037 1 To to TO A34005 3037 2 finde finde VB A34005 3037 3 a a DT A34005 3037 4 point point NN A34005 3037 5 in in IN A34005 3037 6 the the DT A34005 3037 7 direct direct JJ A34005 3037 8 Axis Axis NNP A34005 3037 9 of of IN A34005 3037 10 the the DT A34005 3037 11 world world NN A34005 3037 12 , , , A34005 3037 13 which which WDT A34005 3037 14 will will MD A34005 3037 15 ever ever RB A34005 3037 16 fall fall VB A34005 3037 17 to to TO A34005 3037 18 be be VB A34005 3037 19 in in IN A34005 3037 20 the the DT A34005 3037 21 said say VBN A34005 3037 22 Meridian Meridian NNP A34005 3037 23 , , , A34005 3037 24 in in IN A34005 3037 25 which which WDT A34005 3037 26 point point NN A34005 3037 27 the the DT A34005 3037 28 end end NN A34005 3037 29 of of IN A34005 3037 30 a a DT A34005 3037 31 thread thread NN A34005 3037 32 is be VBZ A34005 3037 33 to to TO A34005 3037 34 be be VB A34005 3037 35 fastened fasten VBN A34005 3037 36 . . . A34005 3038 1 FIrst first RB A34005 3038 2 , , , A34005 3038 3 fix fix VB A34005 3038 4 the the DT A34005 3038 5 end end NN A34005 3038 6 of of IN A34005 3038 7 a a DT A34005 3038 8 thread thread NN A34005 3038 9 or or CC A34005 3038 10 small small JJ A34005 3038 11 silk silk NN A34005 3038 12 in in IN A34005 3038 13 the the DT A34005 3038 14 center center NN A34005 3038 15 of of IN A34005 3038 16 the the DT A34005 3038 17 Hole Hole NNP A34005 3038 18 or or CC A34005 3038 19 Nodus Nodus NNP A34005 3038 20 , , , A34005 3038 21 and and CC A34005 3038 22 move move VB A34005 3038 23 the the DT A34005 3038 24 other other JJ A34005 3038 25 end end NN A34005 3038 26 thereof thereof IN A34005 3038 27 up up IN A34005 3038 28 or or CC A34005 3038 29 down down RB A34005 3038 30 in in IN A34005 3038 31 the the DT A34005 3038 32 said say VBN A34005 3038 33 meridian meridian NNP A34005 3038 34 formerly formerly RB A34005 3038 35 drawn draw VBN A34005 3038 36 on on IN A34005 3038 37 the the DT A34005 3038 38 Cieling Cieling NNP A34005 3038 39 or or CC A34005 3038 40 wall wall NN A34005 3038 41 , , , A34005 3038 42 untill untill NN A34005 3038 43 by by IN A34005 3038 44 applying apply VBG A34005 3038 45 the the DT A34005 3038 46 side side NN A34005 3038 47 of of IN A34005 3038 48 a a DT A34005 3038 49 Quadrant Quadrant NNP A34005 3038 50 to to IN A34005 3038 51 that that DT A34005 3038 52 thread thread NN A34005 3038 53 , , , A34005 3038 54 it -PRON- PRP A34005 3038 55 is be VBZ A34005 3038 56 found find VBN A34005 3038 57 to to TO A34005 3038 58 be be VB A34005 3038 59 elevated elevate VBN A34005 3038 60 equal equal JJ A34005 3038 61 to to IN A34005 3038 62 the the DT A34005 3038 63 Latitude Latitude NNP A34005 3038 64 of of IN A34005 3038 65 the the DT A34005 3038 66 place place NN A34005 3038 67 ; ; : A34005 3038 68 so so RB A34005 3038 69 is be VBZ A34005 3038 70 that that IN A34005 3038 71 thread thread NN A34005 3038 72 directly directly RB A34005 3038 73 scituated scituate VBD A34005 3038 74 parallel parallel NN A34005 3038 75 to to IN A34005 3038 76 the the DT A34005 3038 77 Axis Axis NNP A34005 3038 78 of of IN A34005 3038 79 the the DT A34005 3038 80 world world NN A34005 3038 81 , , , A34005 3038 82 and and CC A34005 3038 83 the the DT A34005 3038 84 point point NN A34005 3038 85 where where WRB A34005 3038 86 the the DT A34005 3038 87 end end NN A34005 3038 88 of of IN A34005 3038 89 that that DT A34005 3038 90 thread thread NN A34005 3038 91 toucheth toucheth NNP A34005 3038 92 the the DT A34005 3038 93 meridian meridian NN A34005 3038 94 either either CC A34005 3038 95 on on IN A34005 3038 96 the the DT A34005 3038 97 Cieling Cieling NNP A34005 3038 98 or or CC A34005 3038 99 wall wall NN A34005 3038 100 , , , A34005 3038 101 is be VBZ A34005 3038 102 that that DT A34005 3038 103 point point NN A34005 3038 104 in in IN A34005 3038 105 the the DT A34005 3038 106 direct direct JJ A34005 3038 107 Axis Axis NNP A34005 3038 108 sought seek VBD A34005 3038 109 for for IN A34005 3038 110 , , , A34005 3038 111 wherein wherein WRB A34005 3038 112 fix fix VB A34005 3038 113 one one CD A34005 3038 114 end end NN A34005 3038 115 of of IN A34005 3038 116 a a DT A34005 3038 117 thread thread NN A34005 3038 118 , , , A34005 3038 119 ( ( -LRB- A34005 3038 120 which which WDT A34005 3038 121 thread thread NN A34005 3038 122 will will MD A34005 3038 123 be be VB A34005 3038 124 of of IN A34005 3038 125 present present JJ A34005 3038 126 use use NN A34005 3038 127 in in IN A34005 3038 128 projecting projecting NN A34005 3038 129 of of IN A34005 3038 130 hour hour NN A34005 3038 131 - - HYPH A34005 3038 132 points point NNS A34005 3038 133 in in IN A34005 3038 134 any any DT A34005 3038 135 place place NN A34005 3038 136 proposed propose VBN A34005 3038 137 , , , A34005 3038 138 then then RB A34005 3038 139 : : : A34005 3038 140 To to TO A34005 3038 141 find find VB A34005 3038 142 the the DT A34005 3038 143 Hour hour NN A34005 3038 144 - - HYPH A34005 3038 145 points point NNS A34005 3038 146 either either CC A34005 3038 147 under under IN A34005 3038 148 the the DT A34005 3038 149 window window NN A34005 3038 150 , , , A34005 3038 151 or or CC A34005 3038 152 any any DT A34005 3038 153 other other JJ A34005 3038 154 convenient convenient JJ A34005 3038 155 place place NN A34005 3038 156 in in IN A34005 3038 157 the the DT A34005 3038 158 Room Room NNP A34005 3038 159 . . . A34005 3039 1 Place place VB A34005 3039 2 the the DT A34005 3039 3 center center NN A34005 3039 4 of of IN A34005 3039 5 the the DT A34005 3039 6 said say VBN A34005 3039 7 Horizontal Horizontal NNP A34005 3039 8 Dial Dial NNP A34005 3039 9 in in IN A34005 3039 10 the the DT A34005 3039 11 Center Center NNP A34005 3039 12 of of IN A34005 3039 13 the the DT A34005 3039 14 Hole Hole NNP A34005 3039 15 or or CC A34005 3039 16 Nodus Nodus NNP A34005 3039 17 ; ; : A34005 3039 18 also also RB A34005 3039 19 scituate scituate VB A34005 3039 20 the the DT A34005 3039 21 said say VBN A34005 3039 22 Dial dial VB A34005 3039 23 exactly exactly RB A34005 3039 24 parallel parallel JJ A34005 3039 25 to to IN A34005 3039 26 the the DT A34005 3039 27 Horizon Horizon NNP A34005 3039 28 , , , A34005 3039 29 and and CC A34005 3039 30 the the DT A34005 3039 31 meridian meridian NN A34005 3039 32 of of IN A34005 3039 33 the the DT A34005 3039 34 said say VBD A34005 3039 35 Dial Dial NNP A34005 3039 36 in in IN A34005 3039 37 the the DT A34005 3039 38 meridian meridian NN A34005 3039 39 of of IN A34005 3039 40 the the DT A34005 3039 41 world world NN A34005 3039 42 , , , A34005 3039 43 which which WDT A34005 3039 44 ( ( -LRB- A34005 3039 45 as as IN A34005 3039 46 before before RB A34005 3039 47 ) ) -RRB- A34005 3039 48 may may MD A34005 3039 49 easily easily RB A34005 3039 50 be be VB A34005 3039 51 done do VBN A34005 3039 52 , , , A34005 3039 53 if if IN A34005 3039 54 at at IN A34005 3039 55 that that DT A34005 3039 56 instant instant NN A34005 3039 57 you -PRON- PRP A34005 3039 58 know know VBP A34005 3039 59 the the DT A34005 3039 60 true true JJ A34005 3039 61 hour hour NN A34005 3039 62 of of IN A34005 3039 63 the the DT A34005 3039 64 day day NN A34005 3039 65 . . . A34005 3039 66 ) ) -RRB- A34005 3040 1 Then then RB A34005 3040 2 take take VB A34005 3040 3 the the DT A34005 3040 4 thread thread NN A34005 3040 5 whose whose WP$ A34005 3040 6 end end NN A34005 3040 7 is be VBZ A34005 3040 8 fixed fix VBN A34005 3040 9 in in IN A34005 3040 10 a a DT A34005 3040 11 point point NN A34005 3040 12 in in IN A34005 3040 13 the the DT A34005 3040 14 direct direct JJ A34005 3040 15 Axis Axis NNP A34005 3040 16 , , , A34005 3040 17 and and CC A34005 3040 18 move move VB A34005 3040 19 it -PRON- PRP A34005 3040 20 to to IN A34005 3040 21 and and CC A34005 3040 22 fro fro NNP A34005 3040 23 , , , A34005 3040 24 until until IN A34005 3040 25 the the DT A34005 3040 26 said say VBD A34005 3040 27 thread thread NN A34005 3040 28 doth doth NNP A34005 3040 29 interpose interpose RB A34005 3040 30 between between IN A34005 3040 31 your -PRON- PRP$ A34005 3040 32 eye eye NN A34005 3040 33 , , , A34005 3040 34 and and CC A34005 3040 35 the the DT A34005 3040 36 hour hour NN A34005 3040 37 - - HYPH A34005 3040 38 line line NN A34005 3040 39 on on IN A34005 3040 40 the the DT A34005 3040 41 said say VBN A34005 3040 42 Horizontal Horizontal NNP A34005 3040 43 Dial Dial NNP A34005 3040 44 which which WDT A34005 3040 45 you -PRON- PRP A34005 3040 46 intend intend VBP A34005 3040 47 to to TO A34005 3040 48 draw draw VB A34005 3040 49 , , , A34005 3040 50 and and CC A34005 3040 51 then then RB A34005 3040 52 keeping keep VBG A34005 3040 53 your -PRON- PRP$ A34005 3040 54 eye eye NN A34005 3040 55 at at IN A34005 3040 56 that that DT A34005 3040 57 scituation scituation NN A34005 3040 58 , , , A34005 3040 59 make make VB A34005 3040 60 a a DT A34005 3040 61 point point NN A34005 3040 62 or or CC A34005 3040 63 mark mark NN A34005 3040 64 in in IN A34005 3040 65 any any DT A34005 3040 66 place place NN A34005 3040 67 where where WRB A34005 3040 68 you -PRON- PRP A34005 3040 69 please please VBP A34005 3040 70 , , , A34005 3040 71 or or CC A34005 3040 72 under under IN A34005 3040 73 the the DT A34005 3040 74 window window NN A34005 3040 75 , , , A34005 3040 76 so so IN A34005 3040 77 that that IN A34005 3040 78 the the DT A34005 3040 79 said say VBD A34005 3040 80 thread thread NN A34005 3040 81 or or CC A34005 3040 82 string string NN A34005 3040 83 may may MD A34005 3040 84 interpose interpose VB A34005 3040 85 between between IN A34005 3040 86 that that DT A34005 3040 87 point point NN A34005 3040 88 or or CC A34005 3040 89 mark mark NN A34005 3040 90 so so RB A34005 3040 91 made make VBN A34005 3040 92 , , , A34005 3040 93 and and CC A34005 3040 94 your -PRON- PRP$ A34005 3040 95 eye eye NN A34005 3040 96 , , , A34005 3040 97 as as IN A34005 3040 98 aforesaid aforesaid JJ A34005 3040 99 ; ; : A34005 3040 100 which which WDT A34005 3040 101 said say VBD A34005 3040 102 point point NN A34005 3040 103 so so RB A34005 3040 104 sound sound NNP A34005 3040 105 will will MD A34005 3040 106 shew shew VB A34005 3040 107 the the DT A34005 3040 108 true true JJ A34005 3040 109 time time NN A34005 3040 110 of of IN A34005 3040 111 the the DT A34005 3040 112 day day NN A34005 3040 113 at at IN A34005 3040 114 that that DT A34005 3040 115 hour hour NN A34005 3040 116 all all PDT A34005 3040 117 the the DT A34005 3040 118 year year NN A34005 3040 119 long long RB A34005 3040 120 , , , A34005 3040 121 the the DT A34005 3040 122 Sun Sun NNP A34005 3040 123 shining shine VBG A34005 3040 124 thereon thereon NN A34005 3040 125 , , , A34005 3040 126 so so CC A34005 3040 127 will will MD A34005 3040 128 that that DT A34005 3040 129 point point NN A34005 3040 130 , , , A34005 3040 131 together together RB A34005 3040 132 with with IN A34005 3040 133 the the DT A34005 3040 134 said say VBN A34005 3040 135 thread thread NN A34005 3040 136 , , , A34005 3040 137 serve serve VB A34005 3040 138 to to TO A34005 3040 139 shew shew VB A34005 3040 140 the the DT A34005 3040 141 hour hour NN A34005 3040 142 , , , A34005 3040 143 instead instead RB A34005 3040 144 of of IN A34005 3040 145 an an DT A34005 3040 146 hour hour NN A34005 3040 147 - - HYPH A34005 3040 148 line line NN A34005 3040 149 . . . A34005 3041 1 In in IN A34005 3041 2 like like JJ A34005 3041 3 manner manner NN A34005 3041 4 , , , A34005 3041 5 the the DT A34005 3041 6 said say VBD A34005 3041 7 thread thread NN A34005 3041 8 fixed fix VBN A34005 3041 9 in in IN A34005 3041 10 the the DT A34005 3041 11 Axis Axis NNP A34005 3041 12 may may MD A34005 3041 13 be be VB A34005 3041 14 again again RB A34005 3041 15 moved move VBN A34005 3041 16 to to IN A34005 3041 17 and and CC A34005 3041 18 fro fro NNP A34005 3041 19 , , , A34005 3041 20 until until IN A34005 3041 21 the the DT A34005 3041 22 said say VBD A34005 3041 23 thread thread NN A34005 3041 24 doth doth NNP A34005 3041 25 interpose interpose RB A34005 3041 26 between between IN A34005 3041 27 the the DT A34005 3041 28 eye eye NN A34005 3041 29 and and CC A34005 3041 30 any any DT A34005 3041 31 other other JJ A34005 3041 32 hour hour NN A34005 3041 33 - - HYPH A34005 3041 34 line line NN A34005 3041 35 desired desire VBN A34005 3041 36 on on IN A34005 3041 37 the the DT A34005 3041 38 said say VBN A34005 3041 39 Horizontal Horizontal NNP A34005 3041 40 Dial Dial NNP A34005 3041 41 and and CC A34005 3041 42 then then RB A34005 3041 43 ( ( -LRB- A34005 3041 44 as as IN A34005 3041 45 before before RB A34005 3041 46 ) ) -RRB- A34005 3041 47 make make VB A34005 3041 48 another another DT A34005 3041 49 point point NN A34005 3041 50 or or CC A34005 3041 51 mark mark NN A34005 3041 52 in in IN A34005 3041 53 any any DT A34005 3041 54 place place NN A34005 3041 55 at at IN A34005 3041 56 pleasure pleasure NN A34005 3041 57 , , , A34005 3041 58 or or CC A34005 3041 59 under under IN A34005 3041 60 the the DT A34005 3041 61 said say VBN A34005 3041 62 window window NN A34005 3041 63 , , , A34005 3041 64 by by IN A34005 3041 65 projecting project VBG A34005 3041 66 a a DT A34005 3041 67 point point NN A34005 3041 68 from from IN A34005 3041 69 the the DT A34005 3041 70 eye eye NN A34005 3041 71 , , , A34005 3041 72 so so IN A34005 3041 73 that that IN A34005 3041 74 the the DT A34005 3041 75 said say VBN A34005 3041 76 thread thread NN A34005 3041 77 also also RB A34005 3041 78 interpose interpose VBP A34005 3041 79 between between IN A34005 3041 80 that that DT A34005 3041 81 point point NN A34005 3041 82 to to TO A34005 3041 83 be be VB A34005 3041 84 made make VBN A34005 3041 85 and and CC A34005 3041 86 the the DT A34005 3041 87 eye eye NN A34005 3041 88 , , , A34005 3041 89 so so RB A34005 3041 90 will will MD A34005 3041 91 that that DT A34005 3041 92 point point NN A34005 3041 93 so so RB A34005 3041 94 found find VBD A34005 3041 95 shew shew NN A34005 3041 96 the the DT A34005 3041 97 true true JJ A34005 3041 98 time time NN A34005 3041 99 of of IN A34005 3041 100 the the DT A34005 3041 101 day day NN A34005 3041 102 for for IN A34005 3041 103 the the DT A34005 3041 104 same same JJ A34005 3041 105 hour hour NN A34005 3041 106 that that WDT A34005 3041 107 did do VBD A34005 3041 108 the the DT A34005 3041 109 hour hour NN A34005 3041 110 line line NN A34005 3041 111 on on IN A34005 3041 112 the the DT A34005 3041 113 said say VBN A34005 3041 114 Horizontal Horizontal NNP A34005 3041 115 Dial Dial NNP A34005 3041 116 , , , A34005 3041 117 which which WDT A34005 3041 118 was be VBD A34005 3041 119 shadowed shadow VBN A34005 3041 120 by by IN A34005 3041 121 the the DT A34005 3041 122 said say VBN A34005 3041 123 thread thread NN A34005 3041 124 . . . A34005 3042 1 In in IN A34005 3042 2 like like JJ A34005 3042 3 manner manner NN A34005 3042 4 may may MD A34005 3042 5 be be VB A34005 3042 6 proceeded proceed VBN A34005 3042 7 ( ( -LRB- A34005 3042 8 by by IN A34005 3042 9 help help NN A34005 3042 10 of of IN A34005 3042 11 that that DT A34005 3042 12 thread thread NN A34005 3042 13 , , , A34005 3042 14 and and CC A34005 3042 15 the the DT A34005 3042 16 several several JJ A34005 3042 17 hour hour NN A34005 3042 18 - - HYPH A34005 3042 19 lines line NNS A34005 3042 20 on on IN A34005 3042 21 the the DT A34005 3042 22 said say VBN A34005 3042 23 Horizontal Horizontal NNP A34005 3042 24 Dial Dial NNP A34005 3042 25 ) ) -RRB- A34005 3042 26 to to TO A34005 3042 27 finde finde VB A34005 3042 28 the the DT A34005 3042 29 other other JJ A34005 3042 30 hour hour NN A34005 3042 31 - - HYPH A34005 3042 32 points point NNS A34005 3042 33 which which WDT A34005 3042 34 must must MD A34005 3042 35 have have VB A34005 3042 36 the the DT A34005 3042 37 same same JJ A34005 3042 38 numbers number NNS A34005 3042 39 set set VBN A34005 3042 40 to to IN A34005 3042 41 them -PRON- PRP A34005 3042 42 as as IN A34005 3042 43 have have VBP A34005 3042 44 the the DT A34005 3042 45 hour hour NN A34005 3042 46 - - HYPH A34005 3042 47 lines line NNS A34005 3042 48 on on IN A34005 3042 49 the the DT A34005 3042 50 said say VBN A34005 3042 51 Horizontal Horizontal NNP A34005 3042 52 Dial Dial NNP A34005 3042 53 . . . A34005 3043 1 Otherwise otherwise RB A34005 3043 2 to to TO A34005 3043 3 make make VB A34005 3043 4 a a DT A34005 3043 5 Dial dial NN A34005 3043 6 from from IN A34005 3043 7 a a DT A34005 3043 8 hole hole NN A34005 3043 9 in in IN A34005 3043 10 any any DT A34005 3043 11 pane pane NN A34005 3043 12 of of IN A34005 3043 13 glasse glasse NNP A34005 3043 14 in in IN A34005 3043 15 a a DT A34005 3043 16 window window NN A34005 3043 17 , , , A34005 3043 18 and and CC A34005 3043 19 to to TO A34005 3043 20 graduate graduate VB A34005 3043 21 the the DT A34005 3043 22 hour hour NN A34005 3043 23 - - HYPH A34005 3043 24 lines line NNS A34005 3043 25 below below IN A34005 3043 26 on on IN A34005 3043 27 the the DT A34005 3043 28 Sell sell NN A34005 3043 29 , , , A34005 3043 30 or or CC A34005 3043 31 Beam Beam NNP A34005 3043 32 , , , A34005 3043 33 or or CC A34005 3043 34 on on IN A34005 3043 35 the the DT A34005 3043 36 ground ground NN A34005 3043 37 , , , A34005 3043 38 that that DT A34005 3043 39 hole hole NN A34005 3043 40 is be VBZ A34005 3043 41 supposed suppose VBN A34005 3043 42 to to TO A34005 3043 43 be be VB A34005 3043 44 the the DT A34005 3043 45 center center NN A34005 3043 46 of of IN A34005 3043 47 the the DT A34005 3043 48 Horizontal Horizontal NNP A34005 3043 49 Dial Dial NNP A34005 3043 50 , , , A34005 3043 51 and and CC A34005 3043 52 being be VBG A34005 3043 53 true true JJ A34005 3043 54 placed place VBN A34005 3043 55 , , , A34005 3043 56 the the DT A34005 3043 57 stile stile NN A34005 3043 58 thereof thereof RB A34005 3043 59 , , , A34005 3043 60 if if IN A34005 3043 61 supposed suppose VBN A34005 3043 62 continued continue VBD A34005 3043 63 , , , A34005 3043 64 will will MD A34005 3043 65 run run VB A34005 3043 66 into into IN A34005 3043 67 the the DT A34005 3043 68 point point NN A34005 3043 69 in in IN A34005 3043 70 the the DT A34005 3043 71 Meridian Meridian NNP A34005 3043 72 of of IN A34005 3043 73 the the DT A34005 3043 74 Cieling Cieling NNP A34005 3043 75 before before RB A34005 3043 76 found find VBD A34005 3043 77 , , , A34005 3043 78 where where WRB A34005 3043 79 a a DT A34005 3043 80 thread thread NN A34005 3043 81 is be VBZ A34005 3043 82 to to TO A34005 3043 83 be be VB A34005 3043 84 fixed fix VBN A34005 3043 85 ; ; : A34005 3043 86 then then RB A34005 3043 87 let let VB A34005 3043 88 one one CD A34005 3043 89 extend extend VB A34005 3043 90 a a DT A34005 3043 91 thread thread NN A34005 3043 92 fastned fastne VBN A34005 3043 93 in in IN A34005 3043 94 the the DT A34005 3043 95 center center NN A34005 3043 96 of of IN A34005 3043 97 the the DT A34005 3043 98 Horizontal Horizontal NNP A34005 3043 99 Dial Dial NNP A34005 3043 100 parallelly parallelly RB A34005 3043 101 to to IN A34005 3043 102 the the DT A34005 3043 103 Horizon Horizon NNP A34005 3043 104 , , , A34005 3043 105 over over IN A34005 3043 106 each each DT A34005 3043 107 respective respective JJ A34005 3043 108 hour hour NN A34005 3043 109 - - HYPH A34005 3043 110 line line NN A34005 3043 111 , , , A34005 3043 112 and and CC A34005 3043 113 holding hold VBG A34005 3043 114 it -PRON- PRP A34005 3043 115 steady steady JJ A34005 3043 116 , , , A34005 3043 117 let let VB A34005 3043 118 another another DT A34005 3043 119 extend extend VB A34005 3043 120 the the DT A34005 3043 121 thread thread NN A34005 3043 122 fastened fasten VBN A34005 3043 123 in in IN A34005 3043 124 the the DT A34005 3043 125 Meridian Meridian NNP A34005 3043 126 , , , A34005 3043 127 in in IN A34005 3043 128 the the DT A34005 3043 129 Cieling cieling NN A34005 3043 130 along along RP A34005 3043 131 by by IN A34005 3043 132 the the DT A34005 3043 133 edges edge NNS A34005 3043 134 of of IN A34005 3043 135 the the DT A34005 3043 136 former former JJ A34005 3043 137 Horizontal horizontal JJ A34005 3043 138 thread thread NN A34005 3043 139 , , , A34005 3043 140 and and CC A34005 3043 141 so so RB A34005 3043 142 this this DT A34005 3043 143 latter latter JJ A34005 3043 144 thread thread NN A34005 3043 145 will will MD A34005 3043 146 finde finde NNP A34005 3043 147 divers diver NNS A34005 3043 148 points point NNS A34005 3043 149 on on IN A34005 3043 150 the the DT A34005 3043 151 ground ground NN A34005 3043 152 , , , A34005 3043 153 through through IN A34005 3043 154 which which WDT A34005 3043 155 if if IN A34005 3043 156 hour hour NN A34005 3043 157 - - HYPH A34005 3043 158 lines line NNS A34005 3043 159 be be VB A34005 3043 160 drawn draw VBN A34005 3043 161 , , , A34005 3043 162 and and CC A34005 3043 163 the the DT A34005 3043 164 Sun Sun NNP A34005 3043 165 shine shine VBP A34005 3043 166 through through IN A34005 3043 167 the the DT A34005 3043 168 hole hole NN A34005 3043 169 in in IN A34005 3043 170 the the DT A34005 3043 171 pane pane NN A34005 3043 172 of of IN A34005 3043 173 Glasse Glasse NNP A34005 3043 174 before before RB A34005 3043 175 made make VBN A34005 3043 176 , , , A34005 3043 177 the the DT A34005 3043 178 spot spot NN A34005 3043 179 of of IN A34005 3043 180 the the DT A34005 3043 181 Sun Sun NNP A34005 3043 182 on on IN A34005 3043 183 the the DT A34005 3043 184 ground ground NN A34005 3043 185 shall shall MD A34005 3043 186 shew shew VB A34005 3043 187 the the DT A34005 3043 188 time time NN A34005 3043 189 of of IN A34005 3043 190 the the DT A34005 3043 191 day day NN A34005 3043 192 . . . A34005 3044 1 For for IN A34005 3044 2 the the DT A34005 3044 3 points point NNS A34005 3044 4 that that WDT A34005 3044 5 will will MD A34005 3044 6 be be VB A34005 3044 7 thus thus RB A34005 3044 8 found find VBN A34005 3044 9 on on IN A34005 3044 10 the the DT A34005 3044 11 Beam Beam NNP A34005 3044 12 or or CC A34005 3044 13 Transome transome JJ A34005 3044 14 , , , A34005 3044 15 the the DT A34005 3044 16 thread thread NN A34005 3044 17 fixed fix VBN A34005 3044 18 in in IN A34005 3044 19 the the DT A34005 3044 20 Cieling cieling NN A34005 3044 21 , , , A34005 3044 22 or or CC A34005 3044 23 instead instead RB A34005 3044 24 of of IN A34005 3044 25 it -PRON- PRP A34005 3044 26 a a DT A34005 3044 27 piece piece NN A34005 3044 28 of of IN A34005 3044 29 tape tape NN A34005 3044 30 there there EX A34005 3044 31 fixed fix VBN A34005 3044 32 must must MD A34005 3044 33 be be VB A34005 3044 34 moved move VBN A34005 3044 35 so so RB A34005 3044 36 up up RB A34005 3044 37 and and CC A34005 3044 38 down down RB A34005 3044 39 , , , A34005 3044 40 that that IN A34005 3044 41 the the DT A34005 3044 42 spot spot NN A34005 3044 43 of of IN A34005 3044 44 the the DT A34005 3044 45 Sun Sun NNP A34005 3044 46 may may MD A34005 3044 47 shine shine VB A34005 3044 48 upon upon IN A34005 3044 49 it -PRON- PRP A34005 3044 50 , , , A34005 3044 51 and and CC A34005 3044 52 being be VBG A34005 3044 53 extended extend VBN A34005 3044 54 to to IN A34005 3044 55 the the DT A34005 3044 56 Transome transome JJ A34005 3044 57 or or CC A34005 3044 58 Beam Beam NNP A34005 3044 59 graduated graduate VBD A34005 3044 60 with with IN A34005 3044 61 the the DT A34005 3044 62 hour hour NN A34005 3044 63 - - HYPH A34005 3044 64 lines line NNS A34005 3044 65 , , , A34005 3044 66 as as IN A34005 3044 67 before before RB A34005 3044 68 directed direct VBN A34005 3044 69 , , , A34005 3044 70 it -PRON- PRP A34005 3044 71 there there RB A34005 3044 72 shews shew VBZ A34005 3044 73 the the DT A34005 3044 74 time time NN A34005 3044 75 of of IN A34005 3044 76 the the DT A34005 3044 77 day day NN A34005 3044 78 . . . A34005 3045 1 Here here RB A34005 3045 2 note note VB A34005 3045 3 , , , A34005 3045 4 that that IN A34005 3045 5 it -PRON- PRP A34005 3045 6 will will MD A34005 3045 7 be be VB A34005 3045 8 convenient convenient JJ A34005 3045 9 to to TO A34005 3045 10 have have VB A34005 3045 11 that that DT A34005 3045 12 pane pane NN A34005 3045 13 of of IN A34005 3045 14 Glasse Glasse NNP A34005 3045 15 darkened darken VBD A34005 3045 16 through through IN A34005 3045 17 which which WDT A34005 3045 18 that that DT A34005 3045 19 spot spot NN A34005 3045 20 is be VBZ A34005 3045 21 to to TO A34005 3045 22 shine shine VB A34005 3045 23 . . . A34005 3046 1 In in IN A34005 3046 2 like like JJ A34005 3046 3 manner manner NN A34005 3046 4 may may MD A34005 3046 5 a a DT A34005 3046 6 Dial Dial NNP A34005 3046 7 be be VB A34005 3046 8 made make VBN A34005 3046 9 from from IN A34005 3046 10 a a DT A34005 3046 11 nail nail NN A34005 3046 12 head head NN A34005 3046 13 , , , A34005 3046 14 a a DT A34005 3046 15 knot knot NN A34005 3046 16 in in IN A34005 3046 17 a a DT A34005 3046 18 string string NN A34005 3046 19 tied tie VBD A34005 3046 20 any any DT A34005 3046 21 where where WRB A34005 3046 22 a a DT A34005 3046 23 crosse crosse NN A34005 3046 24 , , , A34005 3046 25 or or CC A34005 3046 26 from from IN A34005 3046 27 any any DT A34005 3046 28 point point NN A34005 3046 29 driven drive VBN A34005 3046 30 into into IN A34005 3046 31 the the DT A34005 3046 32 bar bar NN A34005 3046 33 of of IN A34005 3046 34 a a DT A34005 3046 35 window window NN A34005 3046 36 , , , A34005 3046 37 and and CC A34005 3046 38 the the DT A34005 3046 39 hour hour NN A34005 3046 40 - - HYPH A34005 3046 41 lines line NNS A34005 3046 42 graduated graduate VBD A34005 3046 43 upon upon IN A34005 3046 44 the the DT A34005 3046 45 Transome transome JJ A34005 3046 46 or or CC A34005 3046 47 board board NN A34005 3046 48 underneath underneath RB A34005 3046 49 . . . A34005 3047 1 To to TO A34005 3047 2 make make VB A34005 3047 3 a a DT A34005 3047 4 Reflected Reflected NNP A34005 3047 5 Dial Dial NNP A34005 3047 6 on on IN A34005 3047 7 the the DT A34005 3047 8 Ceiling Ceiling NNP A34005 3047 9 of of IN A34005 3047 10 the the DT A34005 3047 11 Room Room NNP A34005 3047 12 is be VBZ A34005 3047 13 onely onely RB A34005 3047 14 the the DT A34005 3047 15 contrary contrary NN A34005 3047 16 of of IN A34005 3047 17 this this DT A34005 3047 18 , , , A34005 3047 19 by by IN A34005 3047 20 supposing suppose VBG A34005 3047 21 the the DT A34005 3047 22 Horizontal Horizontal NNP A34005 3047 23 Diall Diall NNP A34005 3047 24 with with IN A34005 3047 25 its -PRON- PRP$ A34005 3047 26 stile stile NN A34005 3047 27 to to TO A34005 3047 28 be be VB A34005 3047 29 turned turn VBN A34005 3047 30 downwards downwards RB A34005 3047 31 , , , A34005 3047 32 and and CC A34005 3047 33 run run VB A34005 3047 34 into into IN A34005 3047 35 the the DT A34005 3047 36 true true JJ A34005 3047 37 meridian meridian NN A34005 3047 38 on on IN A34005 3047 39 the the DT A34005 3047 40 ground ground NN A34005 3047 41 , , , A34005 3047 42 where where WRB A34005 3047 43 the the DT A34005 3047 44 thread thread NN A34005 3047 45 is be VBZ A34005 3047 46 to to TO A34005 3047 47 be be VB A34005 3047 48 fixed fix VBN A34005 3047 49 , , , A34005 3047 50 and and CC A34005 3047 51 to to TO A34005 3047 52 be be VB A34005 3047 53 extended extend VBN A34005 3047 54 along along IN A34005 3047 55 by by IN A34005 3047 56 the the DT A34005 3047 57 former former JJ A34005 3047 58 Horizontal horizontal JJ A34005 3047 59 thread thread NN A34005 3047 60 ( ( -LRB- A34005 3047 61 held hold VBN A34005 3047 62 over over IN A34005 3047 63 the the DT A34005 3047 64 respective respective JJ A34005 3047 65 hours hour NNS A34005 3047 66 as as IN A34005 3047 67 before before RB A34005 3047 68 ) ) -RRB- A34005 3047 69 upward upward RB A34005 3047 70 , , , A34005 3047 71 to to TO A34005 3047 72 find find VB A34005 3047 73 divers diver NNS A34005 3047 74 points point NNS A34005 3047 75 in in IN A34005 3047 76 the the DT A34005 3047 77 Cieling Cieling NNP A34005 3047 78 , , , A34005 3047 79 as as IN A34005 3047 80 shall shall MD A34005 3047 81 afterwards afterwards RB A34005 3047 82 be be VB A34005 3047 83 shewed shew VBN A34005 3047 84 . . . A34005 3048 1 Of of IN A34005 3048 2 Dials Dials NNPS A34005 3048 3 to to TO A34005 3048 4 stand stand VB A34005 3048 5 in in IN A34005 3048 6 the the DT A34005 3048 7 Weather Weather NNP A34005 3048 8 . . . A34005 3049 1 These these DT A34005 3049 2 may may MD A34005 3049 3 be be VB A34005 3049 4 also also RB A34005 3049 5 made make VBN A34005 3049 6 by by IN A34005 3049 7 help help NN A34005 3049 8 of of IN A34005 3049 9 an an DT A34005 3049 10 Horizontal Horizontal NNP A34005 3049 11 Dial Dial NNP A34005 3049 12 . . . A34005 3050 1 DRive drive VB A34005 3050 2 two two CD A34005 3050 3 nails nail NNS A34005 3050 4 or or CC A34005 3050 5 pins pin NNS A34005 3050 6 into into IN A34005 3050 7 the the DT A34005 3050 8 wall wall NN A34005 3050 9 , , , A34005 3050 10 on on IN A34005 3050 11 which which WDT A34005 3050 12 the the DT A34005 3050 13 edge edge NN A34005 3050 14 of of IN A34005 3050 15 a a DT A34005 3050 16 Board Board NNP A34005 3050 17 of of IN A34005 3050 18 competent competent JJ A34005 3050 19 breadth breadth NN A34005 3050 20 may may MD A34005 3050 21 rest rest VB A34005 3050 22 , , , A34005 3050 23 then then RB A34005 3050 24 to to TO A34005 3050 25 hold hold VB A34005 3050 26 up up RP A34005 3050 27 the the DT A34005 3050 28 other other JJ A34005 3050 29 side side NN A34005 3050 30 of of IN A34005 3050 31 the the DT A34005 3050 32 Board Board NNP A34005 3050 33 , , , A34005 3050 34 drive drive VB A34005 3050 35 two two CD A34005 3050 36 hooks hook NNS A34005 3050 37 into into IN A34005 3050 38 the the DT A34005 3050 39 wall wall NN A34005 3050 40 above above RB A34005 3050 41 , , , A34005 3050 42 whereto whereto VB A34005 3050 43 with with IN A34005 3050 44 cord cord NN A34005 3050 45 or or CC A34005 3050 46 line line VB A34005 3050 47 the the DT A34005 3050 48 outside outside NN A34005 3050 49 of of IN A34005 3050 50 the the DT A34005 3050 51 Board Board NNP A34005 3050 52 may may MD A34005 3050 53 be be VB A34005 3050 54 sustained sustain VBN A34005 3050 55 , , , A34005 3050 56 and and CC A34005 3050 57 this this DT A34005 3050 58 Board Board NNP A34005 3050 59 being be VBG A34005 3050 60 Horizontal Horizontal NNP A34005 3050 61 , , , A34005 3050 62 place place VB A34005 3050 63 the the DT A34005 3050 64 Horizontal Horizontal NNP A34005 3050 65 Dial Dial NNP A34005 3050 66 its -PRON- PRP$ A34005 3050 67 Meridian meridian JJ A34005 3050 68 - - HYPH A34005 3050 69 line line NN A34005 3050 70 in in IN A34005 3050 71 the the DT A34005 3050 72 true true JJ A34005 3050 73 Meridian Meridian NNP A34005 3050 74 of of IN A34005 3050 75 the the DT A34005 3050 76 world world NN A34005 3050 77 . . . A34005 3051 1 If if IN A34005 3051 2 a a DT A34005 3051 3 Plain plain JJ A34005 3051 4 look look NN A34005 3051 5 towards towards IN A34005 3051 6 the the DT A34005 3051 7 South South NNP A34005 3051 8 , , , A34005 3051 9 the the DT A34005 3051 10 stile stile NN A34005 3051 11 of of IN A34005 3051 12 the the DT A34005 3051 13 Horizontal Horizontal NNP A34005 3051 14 Dial Dial NNP A34005 3051 15 continued continue VBN A34005 3051 16 by by IN A34005 3051 17 a a DT A34005 3051 18 thread thread NN A34005 3051 19 from from IN A34005 3051 20 the the DT A34005 3051 21 center center NN A34005 3051 22 will will MD A34005 3051 23 run run VB A34005 3051 24 into into IN A34005 3051 25 the the DT A34005 3051 26 Plain Plain NNP A34005 3051 27 , , , A34005 3051 28 which which WDT A34005 3051 29 note note VBP A34005 3051 30 to to TO A34005 3051 31 be be VB A34005 3051 32 the the DT A34005 3051 33 center center NN A34005 3051 34 of of IN A34005 3051 35 the the DT A34005 3051 36 new new JJ A34005 3051 37 Dial Dial NNP A34005 3051 38 , , , A34005 3051 39 as as IN A34005 3051 40 also also RB A34005 3051 41 that that DT A34005 3051 42 line line NN A34005 3051 43 is be VBZ A34005 3051 44 the the DT A34005 3051 45 new new JJ A34005 3051 46 stile stile NN A34005 3051 47 , , , A34005 3051 48 which which WDT A34005 3051 49 must must MD A34005 3051 50 be be VB A34005 3051 51 supported support VBN A34005 3051 52 with with IN A34005 3051 53 stayes staye NNS A34005 3051 54 , , , A34005 3051 55 when when WRB A34005 3051 56 you -PRON- PRP A34005 3051 57 fix fix VBP A34005 3051 58 it -PRON- PRP A34005 3051 59 up up RP A34005 3051 60 . . . A34005 3052 1 By by IN A34005 3052 2 a a DT A34005 3052 3 thread thread NN A34005 3052 4 from from IN A34005 3052 5 the the DT A34005 3052 6 center center NN A34005 3052 7 laid lay VBN A34005 3052 8 over over RP A34005 3052 9 every every DT A34005 3052 10 hour hour NN A34005 3052 11 - - HYPH A34005 3052 12 line line NN A34005 3052 13 on on IN A34005 3052 14 the the DT A34005 3052 15 Horizontal Horizontal NNP A34005 3052 16 Dial Dial NNP A34005 3052 17 , , , A34005 3052 18 cross cross VB A34005 3052 19 the the DT A34005 3052 20 Horizontal horizontal JJ A34005 3052 21 line line NN A34005 3052 22 of of IN A34005 3052 23 the the DT A34005 3052 24 Plain Plain NNP A34005 3052 25 , , , A34005 3052 26 which which WDT A34005 3052 27 note note VBP A34005 3052 28 with with IN A34005 3052 29 the the DT A34005 3052 30 same same JJ A34005 3052 31 hours hour NNS A34005 3052 32 the the DT A34005 3052 33 Horizontal Horizontal NNP A34005 3052 34 Dial Dial NNP A34005 3052 35 hath hath NNP A34005 3052 36 . . . A34005 3053 1 The the DT A34005 3053 2 hour hour NN A34005 3053 3 - - HYPH A34005 3053 4 lines line NNS A34005 3053 5 on on IN A34005 3053 6 the the DT A34005 3053 7 Plain Plain NNP A34005 3053 8 are be VBP A34005 3053 9 to to TO A34005 3053 10 be be VB A34005 3053 11 drawn draw VBN A34005 3053 12 from from IN A34005 3053 13 the the DT A34005 3053 14 center center NN A34005 3053 15 before before IN A34005 3053 16 found find VBD A34005 3053 17 through through IN A34005 3053 18 those those DT A34005 3053 19 points point NNS A34005 3053 20 , , , A34005 3053 21 and and CC A34005 3053 22 so so RB A34005 3053 23 cut cut VB A34005 3053 24 off off RP A34005 3053 25 by by IN A34005 3053 26 the the DT A34005 3053 27 Dial Dial NNP A34005 3053 28 , , , A34005 3053 29 or or CC A34005 3053 30 continued continue VBD A34005 3053 31 at at IN A34005 3053 32 pleasure pleasure NN A34005 3053 33 . . . A34005 3054 1 If if IN A34005 3054 2 the the DT A34005 3054 3 Center Center NNP A34005 3054 4 of of IN A34005 3054 5 the the DT A34005 3054 6 Dial Dial NNP A34005 3054 7 be be VB A34005 3054 8 assigned assign VBN A34005 3054 9 before before IN A34005 3054 10 you -PRON- PRP A34005 3054 11 begin begin VBP A34005 3054 12 the the DT A34005 3054 13 work work NN A34005 3054 14 , , , A34005 3054 15 in in IN A34005 3054 16 such such JJ A34005 3054 17 Cases case NNS A34005 3054 18 you -PRON- PRP A34005 3054 19 may may MD A34005 3054 20 remove remove VB A34005 3054 21 the the DT A34005 3054 22 Horizontal Horizontal NNP A34005 3054 23 Dial Dial NNP A34005 3054 24 up up RB A34005 3054 25 and and CC A34005 3054 26 down down RB A34005 3054 27 , , , A34005 3054 28 keeping keep VBG A34005 3054 29 it -PRON- PRP A34005 3054 30 still still RB A34005 3054 31 to to IN A34005 3054 32 the the DT A34005 3054 33 true true JJ A34005 3054 34 position position NN A34005 3054 35 or or CC A34005 3054 36 hour hour NN A34005 3054 37 , , , A34005 3054 38 till till IN A34005 3054 39 you -PRON- PRP A34005 3054 40 finde finde VB A34005 3054 41 the the DT A34005 3054 42 Axis Axis NNP A34005 3054 43 or or CC A34005 3054 44 stile stile NN A34005 3054 45 run run VB A34005 3054 46 into into IN A34005 3054 47 the the DT A34005 3054 48 Center Center NNP A34005 3054 49 . . . A34005 3055 1 But but CC A34005 3055 2 if if IN A34005 3055 3 the the DT A34005 3055 4 Plain Plain NNP A34005 3055 5 look look NN A34005 3055 6 into into IN A34005 3055 7 the the DT A34005 3055 8 East East NNP A34005 3055 9 or or CC A34005 3055 10 West West NNP A34005 3055 11 , , , A34005 3055 12 then then RB A34005 3055 13 possibly possibly RB A34005 3055 14 the the DT A34005 3055 15 Axis Axis NNP A34005 3055 16 of of IN A34005 3055 17 the the DT A34005 3055 18 Horizontal Horizontal NNP A34005 3055 19 Dial Dial NNP A34005 3055 20 will will MD A34005 3055 21 not not RB A34005 3055 22 meet meet VB A34005 3055 23 with with IN A34005 3055 24 the the DT A34005 3055 25 Plain Plain NNP A34005 3055 26 : : : A34005 3055 27 in in IN A34005 3055 28 such such JJ A34005 3055 29 Cases case NNS A34005 3055 30 you -PRON- PRP A34005 3055 31 must must MD A34005 3055 32 fix fix VB A34005 3055 33 a a DT A34005 3055 34 board board NN A34005 3055 35 so so RB A34005 3055 36 , , , A34005 3055 37 that that IN A34005 3055 38 it -PRON- PRP A34005 3055 39 may may MD A34005 3055 40 receive receive VB A34005 3055 41 the the DT A34005 3055 42 Axis Axis NNP A34005 3055 43 , , , A34005 3055 44 ( ( -LRB- A34005 3055 45 the the DT A34005 3055 46 board board NN A34005 3055 47 being be VBG A34005 3055 48 perpendicular perpendicular JJ A34005 3055 49 to to IN A34005 3055 50 the the DT A34005 3055 51 Plain Plain NNP A34005 3055 52 ) ) -RRB- A34005 3055 53 this this DT A34005 3055 54 stile stile NN A34005 3055 55 or or CC A34005 3055 56 Axis Axis NNP A34005 3055 57 is be VBZ A34005 3055 58 to to TO A34005 3055 59 be be VB A34005 3055 60 fastened fasten VBN A34005 3055 61 to to IN A34005 3055 62 the the DT A34005 3055 63 Plain Plain NNP A34005 3055 64 by by IN A34005 3055 65 two two CD A34005 3055 66 Rests Rests NNPS A34005 3055 67 , , , A34005 3055 68 the the DT A34005 3055 69 hour hour NN A34005 3055 70 - - HYPH A34005 3055 71 lines line NNS A34005 3055 72 may may MD A34005 3055 73 be be VB A34005 3055 74 drawn draw VBN A34005 3055 75 by by IN A34005 3055 76 the the DT A34005 3055 77 eye eye NN A34005 3055 78 , , , A34005 3055 79 or or CC A34005 3055 80 shadowed shadow VBN A34005 3055 81 out out RP A34005 3055 82 by by IN A34005 3055 83 a a DT A34005 3055 84 Light light NN A34005 3055 85 : : : A34005 3055 86 Bring bring VB A34005 3055 87 the the DT A34005 3055 88 thread thread NN A34005 3055 89 that that WDT A34005 3055 90 represents represent VBZ A34005 3055 91 the the DT A34005 3055 92 Axis Axis NNP A34005 3055 93 or or CC A34005 3055 94 stile stile VB A34005 3055 95 into into IN A34005 3055 96 any any DT A34005 3055 97 hour hour NN A34005 3055 98 - - HYPH A34005 3055 99 point point NN A34005 3055 100 ( ( -LRB- A34005 3055 101 on on IN A34005 3055 102 the the DT A34005 3055 103 Horizontal Horizontal NNP A34005 3055 104 Dial Dial NNP A34005 3055 105 ) ) -RRB- A34005 3055 106 by by IN A34005 3055 107 your -PRON- PRP$ A34005 3055 108 eye eye NN A34005 3055 109 or or CC A34005 3055 110 shadow shadow NN A34005 3055 111 ; ; : A34005 3055 112 at at IN A34005 3055 113 the the DT A34005 3055 114 same same JJ A34005 3055 115 time time NN A34005 3055 116 the the DT A34005 3055 117 thread thread NN A34005 3055 118 or or CC A34005 3055 119 shadow shadow NN A34005 3055 120 making make VBG A34005 3055 121 marks mark NNS A34005 3055 122 on on IN A34005 3055 123 the the DT A34005 3055 124 Plain Plain NNP A34005 3055 125 , , , A34005 3055 126 shews shew NNS A34005 3055 127 where where WRB A34005 3055 128 the the DT A34005 3055 129 hour hour NN A34005 3055 130 - - HYPH A34005 3055 131 lines line NNS A34005 3055 132 are be VBP A34005 3055 133 to to TO A34005 3055 134 passe passe VB A34005 3055 135 . . . A34005 3056 1 After after IN A34005 3056 2 the the DT A34005 3056 3 same same JJ A34005 3056 4 manner manner NN A34005 3056 5 any any DT A34005 3056 6 hour hour NN A34005 3056 7 - - HYPH A34005 3056 8 line line NN A34005 3056 9 is be VBZ A34005 3056 10 to to TO A34005 3056 11 be be VB A34005 3056 12 drawn draw VBN A34005 3056 13 over over IN A34005 3056 14 any any DT A34005 3056 15 irregular irregular JJ A34005 3056 16 or or CC A34005 3056 17 crooked crooked JJ A34005 3056 18 Plain Plain NNP A34005 3056 19 . . . A34005 3057 1 Further further RB A34005 3057 2 observe observe NN A34005 3057 3 , , , A34005 3057 4 that that IN A34005 3057 5 any any DT A34005 3057 6 point point NN A34005 3057 7 in in IN A34005 3057 8 the the DT A34005 3057 9 middle middle NN A34005 3057 10 , , , A34005 3057 11 or or CC A34005 3057 12 neer neer VB A34005 3057 13 the the DT A34005 3057 14 end end NN A34005 3057 15 of of IN A34005 3057 16 the the DT A34005 3057 17 stile stile NN A34005 3057 18 will will MD A34005 3057 19 as as RB A34005 3057 20 well well RB A34005 3057 21 shew shew VB A34005 3057 22 the the DT A34005 3057 23 hour hour NN A34005 3057 24 of of IN A34005 3057 25 the the DT A34005 3057 26 Day day NN A34005 3057 27 , , , A34005 3057 28 as as IN A34005 3057 29 the the DT A34005 3057 30 whole whole JJ A34005 3057 31 stile stile NN A34005 3057 32 . . . A34005 3058 1 Of of IN A34005 3058 2 Refracted Refracted NNP A34005 3058 3 Dials Dials NNPS A34005 3058 4 . . . A34005 3059 1 IF if IN A34005 3059 2 you -PRON- PRP A34005 3059 3 stick stick VBP A34005 3059 4 up up RP A34005 3059 5 a a DT A34005 3059 6 pin pin NN A34005 3059 7 or or CC A34005 3059 8 stick stick NN A34005 3059 9 , , , A34005 3059 10 or or CC A34005 3059 11 assign assign VB A34005 3059 12 any any DT A34005 3059 13 point point NN A34005 3059 14 in in IN A34005 3059 15 any any DT A34005 3059 16 concave concave NN A34005 3059 17 Boul Boul NNP A34005 3059 18 or or CC A34005 3059 19 Dish Dish NNP A34005 3059 20 , , , A34005 3059 21 to to TO A34005 3059 22 shew shew VB A34005 3059 23 the the DT A34005 3059 24 hour hour NN A34005 3059 25 , , , A34005 3059 26 and and CC A34005 3059 27 make make VB A34005 3059 28 that that IN A34005 3059 29 the the DT A34005 3059 30 center center NN A34005 3059 31 of of IN A34005 3059 32 the the DT A34005 3059 33 Horizontal Horizontal NNP A34005 3059 34 Dial Dial NNP A34005 3059 35 , , , A34005 3059 36 assigning assign VBG A34005 3059 37 the the DT A34005 3059 38 meridian meridian JJ A34005 3059 39 - - HYPH A34005 3059 40 line line NN A34005 3059 41 on on IN A34005 3059 42 the the DT A34005 3059 43 edges edge NNS A34005 3059 44 of of IN A34005 3059 45 the the DT A34005 3059 46 Boul Boul NNP A34005 3059 47 , , , A34005 3059 48 point point VB A34005 3059 49 out out RP A34005 3059 50 the the DT A34005 3059 51 rest rest NN A34005 3059 52 of of IN A34005 3059 53 the the DT A34005 3059 54 hour hour NN A34005 3059 55 - - HYPH A34005 3059 56 lines line NNS A34005 3059 57 also also RB A34005 3059 58 on on IN A34005 3059 59 the the DT A34005 3059 60 edges edge NNS A34005 3059 61 of of IN A34005 3059 62 the the DT A34005 3059 63 Boul Boul NNP A34005 3059 64 , , , A34005 3059 65 and and CC A34005 3059 66 taking take VBG A34005 3059 67 away away RP A34005 3059 68 the the DT A34005 3059 69 Horizontal Horizontal NNP A34005 3059 70 Dial Dial NNP A34005 3059 71 , , , A34005 3059 72 elevate elevate VB A34005 3059 73 a a DT A34005 3059 74 string string NN A34005 3059 75 or or CC A34005 3059 76 thread thread NN A34005 3059 77 from from IN A34005 3059 78 the the DT A34005 3059 79 end end NN A34005 3059 80 of of IN A34005 3059 81 the the DT A34005 3059 82 said say VBD A34005 3059 83 pin pin NN A34005 3059 84 fastned fastne VBD A34005 3059 85 thereto thereto NN A34005 3059 86 over over IN A34005 3059 87 the the DT A34005 3059 88 Meridian meridian JJ A34005 3059 89 - - HYPH A34005 3059 90 line line NN A34005 3059 91 equal equal JJ A34005 3059 92 to to IN A34005 3059 93 the the DT A34005 3059 94 Elevation Elevation NNP A34005 3059 95 of of IN A34005 3059 96 the the DT A34005 3059 97 Pole Pole NNP A34005 3059 98 or or CC A34005 3059 99 the the DT A34005 3059 100 Latitude Latitude NNP A34005 3059 101 of of IN A34005 3059 102 the the DT A34005 3059 103 place place NN A34005 3059 104 ; ; : A34005 3059 105 then then RB A34005 3059 106 with with IN A34005 3059 107 a a DT A34005 3059 108 candle candle NN A34005 3059 109 , , , A34005 3059 110 or or CC A34005 3059 111 if if IN A34005 3059 112 you -PRON- PRP A34005 3059 113 bring bring VBP A34005 3059 114 the the DT A34005 3059 115 thread thread NN A34005 3059 116 to to TO A34005 3059 117 shade shade VB A34005 3059 118 upon upon IN A34005 3059 119 any any DT A34005 3059 120 hour hour NN A34005 3059 121 - - HYPH A34005 3059 122 point point NN A34005 3059 123 formerly formerly RB A34005 3059 124 marked mark VBN A34005 3059 125 out out RP A34005 3059 126 on on IN A34005 3059 127 the the DT A34005 3059 128 edges edge NNS A34005 3059 129 of of IN A34005 3059 130 the the DT A34005 3059 131 Boul Boul NNP A34005 3059 132 , , , A34005 3059 133 at at IN A34005 3059 134 the the DT A34005 3059 135 same same JJ A34005 3059 136 time time NN A34005 3059 137 the the DT A34005 3059 138 shade shade NN A34005 3059 139 in in IN A34005 3059 140 the the DT A34005 3059 141 Boul Boul NNP A34005 3059 142 is be VBZ A34005 3059 143 the the DT A34005 3059 144 hour hour NN A34005 3059 145 line line NN A34005 3059 146 . . . A34005 3060 1 And and CC A34005 3060 2 if if IN A34005 3060 3 the the DT A34005 3060 4 Boul Boul NNP A34005 3060 5 be be VB A34005 3060 6 full full JJ A34005 3060 7 of of IN A34005 3060 8 water water NN A34005 3060 9 , , , A34005 3060 10 or or CC A34005 3060 11 any any DT A34005 3060 12 other other JJ A34005 3060 13 liquor liquor NN A34005 3060 14 , , , A34005 3060 15 you -PRON- PRP A34005 3060 16 may may MD A34005 3060 17 draw draw VB A34005 3060 18 the the DT A34005 3060 19 hour hour NN A34005 3060 20 - - HYPH A34005 3060 21 lines line NNS A34005 3060 22 , , , A34005 3060 23 which which WDT A34005 3060 24 will will MD A34005 3060 25 never never RB A34005 3060 26 shew shew VB A34005 3060 27 the the DT A34005 3060 28 true true JJ A34005 3060 29 hour hour NN A34005 3060 30 , , , A34005 3060 31 unlesse unlesse NNP A34005 3060 32 filled fill VBN A34005 3060 33 with with IN A34005 3060 34 the the DT A34005 3060 35 said say VBN A34005 3060 36 Liquor Liquor NNP A34005 3060 37 again again RB A34005 3060 38 . . . A34005 3061 1 Reflected reflect VBN A34005 3061 2 Dialling dialling NN A34005 3061 3 . . . A34005 3062 1 To to TO A34005 3062 2 draw draw VB A34005 3062 3 a a DT A34005 3062 4 Reflected Reflected NNP A34005 3062 5 Dial Dial NNP A34005 3062 6 on on IN A34005 3062 7 any any DT A34005 3062 8 Plain Plain NNP A34005 3062 9 or or CC A34005 3062 10 Plains Plains NNPS A34005 3062 11 , , , A34005 3062 12 be be VB A34005 3062 13 they -PRON- PRP A34005 3062 14 never never RB A34005 3062 15 so so RB A34005 3062 16 Gibous gibous JJ A34005 3062 17 , , , A34005 3062 18 and and CC A34005 3062 19 Concave Concave NNP A34005 3062 20 , , , A34005 3062 21 or or CC A34005 3062 22 Convex Convex NNP A34005 3062 23 , , , A34005 3062 24 or or CC A34005 3062 25 any any DT A34005 3062 26 irregularity irregularity NN A34005 3062 27 whatsoever whatsoever RB A34005 3062 28 , , , A34005 3062 29 the the DT A34005 3062 30 Glass Glass NNP A34005 3062 31 being be VBG A34005 3062 32 fixed fix VBN A34005 3062 33 at at IN A34005 3062 34 any any DT A34005 3062 35 Reclination Reclination NNP A34005 3062 36 at at IN A34005 3062 37 pleasure pleasure NN A34005 3062 38 , , , A34005 3062 39 ( ( -LRB- A34005 3062 40 provided provide VBN A34005 3062 41 it -PRON- PRP A34005 3062 42 may may MD A34005 3062 43 cast cast VB A34005 3062 44 its -PRON- PRP$ A34005 3062 45 Reflex Reflex NNP A34005 3062 46 upon upon IN A34005 3062 47 the the DT A34005 3062 48 places place NNS A34005 3062 49 proposed propose VBD A34005 3062 50 . . . A34005 3062 51 ) ) -RRB- A34005 3063 1 Together together RB A34005 3063 2 with with IN A34005 3063 3 all all DT A34005 3063 4 other other JJ A34005 3063 5 necessary necessary JJ A34005 3063 6 lines line NNS A34005 3063 7 or or CC A34005 3063 8 furniture furniture NN A34005 3063 9 thereon thereon NN A34005 3063 10 , , , A34005 3063 11 viz viz NN A34005 3063 12 . . . A34005 3064 1 the the DT A34005 3064 2 Parallels Parallels NNP A34005 3064 3 of of IN A34005 3064 4 Declination Declination NNP A34005 3064 5 , , , A34005 3064 6 the the DT A34005 3064 7 Azimuth Azimuth NNP A34005 3064 8 lines line NNS A34005 3064 9 , , , A34005 3064 10 the the DT A34005 3064 11 Parallels Parallels NNPS A34005 3064 12 of of IN A34005 3064 13 Altitude altitude NN A34005 3064 14 ( ( -LRB- A34005 3064 15 or or CC A34005 3064 16 proportions proportion NNS A34005 3064 17 of of IN A34005 3064 18 shadows shadow NNS A34005 3064 19 ) ) -RRB- A34005 3064 20 the the DT A34005 3064 21 Planetary Planetary NNP A34005 3064 22 Hour Hour NNP A34005 3064 23 - - HYPH A34005 3064 24 lines line NNS A34005 3064 25 , , , A34005 3064 26 and and CC A34005 3064 27 the the DT A34005 3064 28 Cuspis Cuspis NNP A34005 3064 29 of of IN A34005 3064 30 those those DT A34005 3064 31 Houses house NNS A34005 3064 32 which which WDT A34005 3064 33 are be VBP A34005 3064 34 above above IN A34005 3064 35 the the DT A34005 3064 36 Horizon Horizon NNP A34005 3064 37 , , , A34005 3064 38 & & CC A34005 3064 39 c. c. NNP A34005 3064 40 1 1 CD A34005 3064 41 . . . A34005 3065 1 If if IN A34005 3065 2 the the DT A34005 3065 3 Glasse Glasse NNP A34005 3065 4 be be VB A34005 3065 5 placed place VBN A34005 3065 6 Horizontal Horizontal NNP A34005 3065 7 upon upon IN A34005 3065 8 the the DT A34005 3065 9 Transome transome NN A34005 3065 10 of of IN A34005 3065 11 a a DT A34005 3065 12 window window NN A34005 3065 13 , , , A34005 3065 14 or or CC A34005 3065 15 other other JJ A34005 3065 16 convenient convenient JJ A34005 3065 17 place place NN A34005 3065 18 : : : A34005 3065 19 How how WRB A34005 3065 20 upon upon IN A34005 3065 21 the the DT A34005 3065 22 Wall Wall NNP A34005 3065 23 or or CC A34005 3065 24 Cieling Cieling NNP A34005 3065 25 whereon whereon NN A34005 3065 26 that that IN A34005 3065 27 Glasse Glasse NNP A34005 3065 28 doth doth NN A34005 3065 29 reflect reflect VBP A34005 3065 30 to to TO A34005 3065 31 draw draw VB A34005 3065 32 the the DT A34005 3065 33 Hour Hour NNP A34005 3065 34 - - HYPH A34005 3065 35 lines line NNS A34005 3065 36 thereon thereon NN A34005 3065 37 , , , A34005 3065 38 although although IN A34005 3065 39 it -PRON- PRP A34005 3065 40 be be VB A34005 3065 41 never never RB A34005 3065 42 so so RB A34005 3065 43 irregular irregular JJ A34005 3065 44 , , , A34005 3065 45 or or CC A34005 3065 46 in in IN A34005 3065 47 any any DT A34005 3065 48 form form NN A34005 3065 49 whatsoever whatsoever RB A34005 3065 50 . . . A34005 3066 1 CONSTRUCTIO CONSTRUCTIO NNS A34005 3066 2 . . . A34005 3067 1 FIrst first RB A34005 3067 2 , , , A34005 3067 3 draw draw VB A34005 3067 4 on on IN A34005 3067 5 Pastboard Pastboard NNP A34005 3067 6 or or CC A34005 3067 7 other other JJ A34005 3067 8 Material material NN A34005 3067 9 an an DT A34005 3067 10 Horizontal Horizontal NNP A34005 3067 11 Dial Dial NNP A34005 3067 12 for for IN A34005 3067 13 the the DT A34005 3067 14 Latitude Latitude NNP A34005 3067 15 proposed propose VBD A34005 3067 16 . . . A34005 3068 1 Then then RB A34005 3068 2 by by IN A34005 3068 3 help help NN A34005 3068 4 of of IN A34005 3068 5 the the DT A34005 3068 6 Azimuth Azimuth NNP A34005 3068 7 , , , A34005 3068 8 or or CC A34005 3068 9 at at IN A34005 3068 10 the the DT A34005 3068 11 time time NN A34005 3068 12 when when WRB A34005 3068 13 the the DT A34005 3068 14 Sun Sun NNP A34005 3068 15 is be VBZ A34005 3068 16 in in IN A34005 3068 17 the the DT A34005 3068 18 Meridian Meridian NNP A34005 3068 19 ; ; : A34005 3068 20 or or CC A34005 3068 21 by by IN A34005 3068 22 knowing know VBG A34005 3068 23 the the DT A34005 3068 24 true true JJ A34005 3068 25 hour hour NN A34005 3068 26 of of IN A34005 3068 27 Day Day NNP A34005 3068 28 , , , A34005 3068 29 whereby whereby WRB A34005 3068 30 may may MD A34005 3068 31 be be VB A34005 3068 32 drawn draw VBN A34005 3068 33 several several JJ A34005 3068 34 lines line NNS A34005 3068 35 on on IN A34005 3068 36 the the DT A34005 3068 37 Cieling Cieling NNP A34005 3068 38 , , , A34005 3068 39 Floor Floor NNP A34005 3068 40 , , , A34005 3068 41 and and CC A34005 3068 42 Walls wall NNS A34005 3068 43 of of IN A34005 3068 44 the the DT A34005 3068 45 Room Room NNP A34005 3068 46 : : : A34005 3068 47 so so CC A34005 3068 48 as as IN A34005 3068 49 in in IN A34005 3068 50 respect respect NN A34005 3068 51 of of IN A34005 3068 52 the the DT A34005 3068 53 center center NN A34005 3068 54 of of IN A34005 3068 55 the the DT A34005 3068 56 Glasse Glasse NNP A34005 3068 57 they -PRON- PRP A34005 3068 58 may may MD A34005 3068 59 be be VB A34005 3068 60 in in IN A34005 3068 61 the the DT A34005 3068 62 true true JJ A34005 3068 63 Meridian Meridian NNP A34005 3068 64 - - HYPH A34005 3068 65 circle circle NN A34005 3068 66 of of IN A34005 3068 67 the the DT A34005 3068 68 World World NNP A34005 3068 69 : : : A34005 3068 70 For for IN A34005 3068 71 if if IN A34005 3068 72 right right JJ A34005 3068 73 lines line NNS A34005 3068 74 were be VBD A34005 3068 75 extended extend VBN A34005 3068 76 from from IN A34005 3068 77 the the DT A34005 3068 78 center center NN A34005 3068 79 of of IN A34005 3068 80 the the DT A34005 3068 81 said say VBN A34005 3068 82 Glasse Glasse NNP A34005 3068 83 by by IN A34005 3068 84 any any DT A34005 3068 85 point point NN A34005 3068 86 , , , A34005 3068 87 though though IN A34005 3068 88 elevated elevate VBN A34005 3068 89 in in IN A34005 3068 90 any any DT A34005 3068 91 of of IN A34005 3068 92 those those DT A34005 3068 93 lines line NNS A34005 3068 94 so so RB A34005 3068 95 drawn draw VBN A34005 3068 96 , , , A34005 3068 97 it -PRON- PRP A34005 3068 98 would would MD A34005 3068 99 be be VB A34005 3068 100 directly directly RB A34005 3068 101 in in IN A34005 3068 102 the the DT A34005 3068 103 Meridian Meridian NNP A34005 3068 104 Circle Circle NNP A34005 3068 105 of of IN A34005 3068 106 the the DT A34005 3068 107 World World NNP A34005 3068 108 . . . A34005 3069 1 Now now RB A34005 3069 2 all all DT A34005 3069 3 Reflective reflective JJ A34005 3069 4 Dialling Dialling NNP A34005 3069 5 is be VBZ A34005 3069 6 performed perform VBN A34005 3069 7 from from IN A34005 3069 8 that that DT A34005 3069 9 principle principle NN A34005 3069 10 in in IN A34005 3069 11 Opticks Opticks NNP A34005 3069 12 , , , A34005 3069 13 which which WDT A34005 3069 14 is be VBZ A34005 3069 15 , , , A34005 3069 16 That that IN A34005 3069 17 the the DT A34005 3069 18 angle angle NN A34005 3069 19 of of IN A34005 3069 20 Incidence Incidence NNP A34005 3069 21 is be VBZ A34005 3069 22 equal equal JJ A34005 3069 23 to to IN A34005 3069 24 the the DT A34005 3069 25 angle angle NN A34005 3069 26 of of IN A34005 3069 27 Reflection reflection NN A34005 3069 28 . . . A34005 3070 1 And and CC A34005 3070 2 as as IN A34005 3070 3 any any DT A34005 3070 4 direct direct JJ A34005 3070 5 Dial Dial NNP A34005 3070 6 may may MD A34005 3070 7 be be VB A34005 3070 8 made make VBN A34005 3070 9 by by IN A34005 3070 10 help help NN A34005 3070 11 of of IN A34005 3070 12 a a DT A34005 3070 13 point point NN A34005 3070 14 found find VBN A34005 3070 15 in in IN A34005 3070 16 the the DT A34005 3070 17 direct direct JJ A34005 3070 18 Axis Axis NNP A34005 3070 19 , , , A34005 3070 20 so so RB A34005 3070 21 may may MD A34005 3070 22 any any DT A34005 3070 23 Reflected Reflected NNP A34005 3070 24 Dial Dial NNP A34005 3070 25 be be VB A34005 3070 26 also also RB A34005 3070 27 made make VBN A34005 3070 28 by by IN A34005 3070 29 help help NN A34005 3070 30 of of IN A34005 3070 31 any any DT A34005 3070 32 point point NN A34005 3070 33 found find VBN A34005 3070 34 in in IN A34005 3070 35 the the DT A34005 3070 36 Reflected reflect VBN A34005 3070 37 Axis Axis NNP A34005 3070 38 . . . A34005 3071 1 And and CC A34005 3071 2 in in IN A34005 3071 3 regard regard NN A34005 3071 4 the the DT A34005 3071 5 reflected reflect VBN A34005 3071 6 Axis Axis NNP A34005 3071 7 for for IN A34005 3071 8 the the DT A34005 3071 9 most most JJS A34005 3071 10 part part NN A34005 3071 11 will will MD A34005 3071 12 fall fall VB A34005 3071 13 above above IN A34005 3071 14 the the DT A34005 3071 15 Horizon Horizon NNP A34005 3071 16 of of IN A34005 3071 17 the the DT A34005 3071 18 Glasse Glasse NNP A34005 3071 19 without without IN A34005 3071 20 the the DT A34005 3071 21 window window NN A34005 3071 22 , , , A34005 3071 23 so so IN A34005 3071 24 that that IN A34005 3071 25 no no DT A34005 3071 26 point point NN A34005 3071 27 there there EX A34005 3071 28 can can MD A34005 3071 29 be be VB A34005 3071 30 fixed fix VBN A34005 3071 31 , , , A34005 3071 32 therefore therefore RB A34005 3071 33 a a DT A34005 3071 34 point point NN A34005 3071 35 must must MD A34005 3071 36 be be VB A34005 3071 37 found find VBN A34005 3071 38 in in IN A34005 3071 39 the the DT A34005 3071 40 said say VBD A34005 3071 41 Reflected Reflected NNP A34005 3071 42 Axis Axis NNP A34005 3071 43 continued continue VBD A34005 3071 44 below below IN A34005 3071 45 the the DT A34005 3071 46 Horizontal Horizontal NNP A34005 3071 47 of of IN A34005 3071 48 the the DT A34005 3071 49 said say VBN A34005 3071 50 Glasse Glasse NNP A34005 3071 51 , , , A34005 3071 52 until until IN A34005 3071 53 it -PRON- PRP A34005 3071 54 touch touch VB A34005 3071 55 the the DT A34005 3071 56 ground ground NN A34005 3071 57 or or CC A34005 3071 58 floor floor NN A34005 3071 59 of of IN A34005 3071 60 the the DT A34005 3071 61 Room Room NNP A34005 3071 62 in in IN A34005 3071 63 some some DT A34005 3071 64 part part NN A34005 3071 65 of of IN A34005 3071 66 the the DT A34005 3071 67 Meridian Meridian NNP A34005 3071 68 formerly formerly RB A34005 3071 69 drawn draw VBN A34005 3071 70 , , , A34005 3071 71 which which WDT A34005 3071 72 point point NN A34005 3071 73 will will MD A34005 3071 74 be be VB A34005 3071 75 the the DT A34005 3071 76 point point NN A34005 3071 77 in in IN A34005 3071 78 the the DT A34005 3071 79 reversed reversed JJ A34005 3071 80 Axis Axis NNP A34005 3071 81 desired desire VBN A34005 3071 82 , , , A34005 3071 83 and and CC A34005 3071 84 may may MD A34005 3071 85 be be VB A34005 3071 86 found find VBN A34005 3071 87 , , , A34005 3071 88 as as IN A34005 3071 89 followeth followeth NNP A34005 3071 90 . . . A34005 3072 1 One one CD A34005 3072 2 end end NN A34005 3072 3 of of IN A34005 3072 4 the the DT A34005 3072 5 thread thread NN A34005 3072 6 , , , A34005 3072 7 being be VBG A34005 3072 8 fixed fix VBN A34005 3072 9 at at IN A34005 3072 10 or or CC A34005 3072 11 in in IN A34005 3072 12 the the DT A34005 3072 13 center center NN A34005 3072 14 of of IN A34005 3072 15 the the DT A34005 3072 16 said say VBD A34005 3072 17 Glasse Glasse NNP A34005 3072 18 , , , A34005 3072 19 move move VB A34005 3072 20 the the DT A34005 3072 21 other other JJ A34005 3072 22 end end NN A34005 3072 23 thereof thereof RB A34005 3072 24 in in IN A34005 3072 25 the the DT A34005 3072 26 meridian meridian NNP A34005 3072 27 formerly formerly RB A34005 3072 28 drawn draw VBN A34005 3072 29 below below IN A34005 3072 30 the the DT A34005 3072 31 said say VBN A34005 3072 32 Glasse Glasse NNP A34005 3072 33 , , , A34005 3072 34 until until IN A34005 3072 35 the the DT A34005 3072 36 said say VBD A34005 3072 37 reversed reversed JJ A34005 3072 38 Axis Axis NNP A34005 3072 39 be be VB A34005 3072 40 depressed depress VBN A34005 3072 41 below below IN A34005 3072 42 the the DT A34005 3072 43 Horizon Horizon NNP A34005 3072 44 , , , A34005 3072 45 as as IN A34005 3072 46 the the DT A34005 3072 47 direct direct JJ A34005 3072 48 Axis Axis NNP A34005 3072 49 was be VBD A34005 3072 50 elevated elevate VBN A34005 3072 51 above above IN A34005 3072 52 the the DT A34005 3072 53 Horizon Horizon NNP A34005 3072 54 , , , A34005 3072 55 which which WDT A34005 3072 56 may may MD A34005 3072 57 be be VB A34005 3072 58 done do VBN A34005 3072 59 by by IN A34005 3072 60 applying apply VBG A34005 3072 61 the the DT A34005 3072 62 side side NN A34005 3072 63 or or CC A34005 3072 64 edge edge NN A34005 3072 65 of of IN A34005 3072 66 a a DT A34005 3072 67 Quadrant Quadrant NNP A34005 3072 68 to to IN A34005 3072 69 the the DT A34005 3072 70 said said JJ A34005 3072 71 thread thread NN A34005 3072 72 , , , A34005 3072 73 and and CC A34005 3072 74 moving move VBG A34005 3072 75 the the DT A34005 3072 76 end end NN A34005 3072 77 thereof thereof RB A34005 3072 78 to to IN A34005 3072 79 and and CC A34005 3072 80 fro fro NNP A34005 3072 81 in in IN A34005 3072 82 the the DT A34005 3072 83 said said NNP A34005 3072 84 meridian meridian NNP A34005 3072 85 , , , A34005 3072 86 until until IN A34005 3072 87 the the DT A34005 3072 88 thread thread NN A34005 3072 89 with with IN A34005 3072 90 a a DT A34005 3072 91 plummet plummet NN A34005 3072 92 cut cut VBN A34005 3072 93 the the DT A34005 3072 94 same same JJ A34005 3072 95 degree degree NN A34005 3072 96 as as IN A34005 3072 97 the the DT A34005 3072 98 Pole Pole NNP A34005 3072 99 is be VBZ A34005 3072 100 above above IN A34005 3072 101 the the DT A34005 3072 102 Horizontal Horizontal NNP A34005 3072 103 Glasse Glasse NNP A34005 3072 104 , , , A34005 3072 105 and and CC A34005 3072 106 then then RB A34005 3072 107 that that DT A34005 3072 108 point point NN A34005 3072 109 where where WRB A34005 3072 110 the the DT A34005 3072 111 end end NN A34005 3072 112 of of IN A34005 3072 113 the the DT A34005 3072 114 thread thread NN A34005 3072 115 toucheth toucheth NNP A34005 3072 116 the the DT A34005 3072 117 Meridian Meridian NNP A34005 3072 118 either either CC A34005 3072 119 on on IN A34005 3072 120 the the DT A34005 3072 121 floor floor NN A34005 3072 122 or or CC A34005 3072 123 wall wall NN A34005 3072 124 of of IN A34005 3072 125 the the DT A34005 3072 126 room room NN A34005 3072 127 , , , A34005 3072 128 is be VBZ A34005 3072 129 the the DT A34005 3072 130 point point NN A34005 3072 131 in in IN A34005 3072 132 the the DT A34005 3072 133 reflected reflect VBN A34005 3072 134 reversed reverse VBN A34005 3072 135 Axis Axis NNP A34005 3072 136 sought seek VBD A34005 3072 137 for for IN A34005 3072 138 . . . A34005 3073 1 Now now RB A34005 3073 2 if if IN A34005 3073 3 the the DT A34005 3073 4 Reversed reverse VBN A34005 3073 5 Axis Axis NNP A34005 3073 6 can can MD A34005 3073 7 not not RB A34005 3073 8 be be VB A34005 3073 9 drawn draw VBN A34005 3073 10 from from IN A34005 3073 11 the the DT A34005 3073 12 Glasse Glasse NNP A34005 3073 13 by by IN A34005 3073 14 reason reason NN A34005 3073 15 of of IN A34005 3073 16 the the DT A34005 3073 17 jetting jetting NN A34005 3073 18 of of IN A34005 3073 19 the the DT A34005 3073 20 window window NN A34005 3073 21 or or CC A34005 3073 22 other other JJ A34005 3073 23 impediment impediment NN A34005 3073 24 , , , A34005 3073 25 that that DT A34005 3073 26 point point NN A34005 3073 27 in in IN A34005 3073 28 the the DT A34005 3073 29 reverse reverse NN A34005 3073 30 Axis Axis NNP A34005 3073 31 may may MD A34005 3073 32 be be VB A34005 3073 33 found find VBN A34005 3073 34 by by IN A34005 3073 35 a a DT A34005 3073 36 line line NN A34005 3073 37 parallel parallel JJ A34005 3073 38 thereto thereto NN A34005 3073 39 , , , A34005 3073 40 by by IN A34005 3073 41 fixing fix VBG A34005 3073 42 one one CD A34005 3073 43 end end NN A34005 3073 44 of of IN A34005 3073 45 it -PRON- PRP A34005 3073 46 on on IN A34005 3073 47 the the DT A34005 3073 48 Glasse Glasse NNP A34005 3073 49 , , , A34005 3073 50 and and CC A34005 3073 51 the the DT A34005 3073 52 other other JJ A34005 3073 53 end end NN A34005 3073 54 in in IN A34005 3073 55 the the DT A34005 3073 56 meridian meridian NN A34005 3073 57 , , , A34005 3073 58 so so IN A34005 3073 59 as as IN A34005 3073 60 that that IN A34005 3073 61 it -PRON- PRP A34005 3073 62 may may MD A34005 3073 63 be be VB A34005 3073 64 parallel parallel JJ A34005 3073 65 to to IN A34005 3073 66 the the DT A34005 3073 67 floor floor NN A34005 3073 68 or or CC A34005 3073 69 wall wall NN A34005 3073 70 in in IN A34005 3073 71 which which WDT A34005 3073 72 the the DT A34005 3073 73 reversed reversed JJ A34005 3073 74 Axis Axis NNP A34005 3073 75 - - HYPH A34005 3073 76 point point NN A34005 3073 77 will will MD A34005 3073 78 fall fall VB A34005 3073 79 , , , A34005 3073 80 and and CC A34005 3073 81 finde finde VB A34005 3073 82 the the DT A34005 3073 83 Axis Axis NNP A34005 3073 84 point point NN A34005 3073 85 from from IN A34005 3073 86 that that DT A34005 3073 87 other other JJ A34005 3073 88 end end NN A34005 3073 89 of of IN A34005 3073 90 the the DT A34005 3073 91 lath lath NN A34005 3073 92 : : : A34005 3073 93 so so CC A34005 3073 94 if if IN A34005 3073 95 the the DT A34005 3073 96 same same JJ A34005 3073 97 Distance Distance NNP A34005 3073 98 be be VB A34005 3073 99 set set VBN A34005 3073 100 from from IN A34005 3073 101 that that DT A34005 3073 102 point point NN A34005 3073 103 backward backward RB A34005 3073 104 in in IN A34005 3073 105 the the DT A34005 3073 106 Meridian Meridian NNP A34005 3073 107 on on IN A34005 3073 108 the the DT A34005 3073 109 floor floor NN A34005 3073 110 , , , A34005 3073 111 as as IN A34005 3073 112 is be VBZ A34005 3073 113 the the DT A34005 3073 114 Lath Lath NNP A34005 3073 115 , , , A34005 3073 116 the the DT A34005 3073 117 point point NN A34005 3073 118 will will MD A34005 3073 119 be be VB A34005 3073 120 found find VBN A34005 3073 121 in in IN A34005 3073 122 the the DT A34005 3073 123 Reversed Reversed NNP A34005 3073 124 Axis Axis NNP A34005 3073 125 desired desire VBD A34005 3073 126 . . . A34005 3074 1 Thus thus RB A34005 3074 2 having have VBG A34005 3074 3 found find VBN A34005 3074 4 a a DT A34005 3074 5 point point NN A34005 3074 6 in in IN A34005 3074 7 the the DT A34005 3074 8 reflected reflect VBN A34005 3074 9 reversed reverse VBN A34005 3074 10 Axis Axis NNP A34005 3074 11 ; ; : A34005 3074 12 it -PRON- PRP A34005 3074 13 is be VBZ A34005 3074 14 not not RB A34005 3074 15 hard hard JJ A34005 3074 16 , , , A34005 3074 17 by by IN A34005 3074 18 help help NN A34005 3074 19 whereof whereof NNP A34005 3074 20 and and CC A34005 3074 21 the the DT A34005 3074 22 Horizontal Horizontal NNP A34005 3074 23 Dial Dial NNP A34005 3074 24 , , , A34005 3074 25 to to TO A34005 3074 26 draw draw VB A34005 3074 27 the the DT A34005 3074 28 reflected reflected JJ A34005 3074 29 hour hour NN A34005 3074 30 - - HYPH A34005 3074 31 lines line NNS A34005 3074 32 on on IN A34005 3074 33 any any DT A34005 3074 34 Cieling Cieling NNP A34005 3074 35 or or CC A34005 3074 36 Wall Wall NNP A34005 3074 37 , , , A34005 3074 38 be be VB A34005 3074 39 it -PRON- PRP A34005 3074 40 never never RB A34005 3074 41 so so RB A34005 3074 42 concave concave NNP A34005 3074 43 or or CC A34005 3074 44 convex convex NNP A34005 3074 45 . . . A34005 3075 1 To to TO A34005 3075 2 do do VB A34005 3075 3 which which WDT A34005 3075 4 : : : A34005 3075 5 First first RB A34005 3075 6 note note NN A34005 3075 7 , , , A34005 3075 8 that that IN A34005 3075 9 all all DT A34005 3075 10 straight straight JJ A34005 3075 11 lines line NNS A34005 3075 12 in in IN A34005 3075 13 any any DT A34005 3075 14 projection projection NN A34005 3075 15 on on IN A34005 3075 16 any any DT A34005 3075 17 Plain Plain NNP A34005 3075 18 , , , A34005 3075 19 do do VB A34005 3075 20 always always RB A34005 3075 21 represent represent VB A34005 3075 22 great great JJ A34005 3075 23 Circles circle NNS A34005 3075 24 in in IN A34005 3075 25 the the DT A34005 3075 26 Sphere Sphere NNP A34005 3075 27 , , , A34005 3075 28 such such JJ A34005 3075 29 are be VBP A34005 3075 30 all all PDT A34005 3075 31 the the DT A34005 3075 32 hour hour NN A34005 3075 33 - - HYPH A34005 3075 34 lines line NNS A34005 3075 35 . . . A34005 3076 1 Place place VB A34005 3076 2 the the DT A34005 3076 3 center center NN A34005 3076 4 of of IN A34005 3076 5 this this DT A34005 3076 6 Horizontal Horizontal NNP A34005 3076 7 Dial Dial NNP A34005 3076 8 in in IN A34005 3076 9 the the DT A34005 3076 10 center center NN A34005 3076 11 of of IN A34005 3076 12 the the DT A34005 3076 13 Glasse Glasse NNP A34005 3076 14 , , , A34005 3076 15 the the DT A34005 3076 16 hour hour NN A34005 3076 17 - - HYPH A34005 3076 18 lines line NNS A34005 3076 19 of of IN A34005 3076 20 the the DT A34005 3076 21 said say VBD A34005 3076 22 Dial Dial NNP A34005 3076 23 being be VBG A34005 3076 24 horizontal horizontal JJ A34005 3076 25 , , , A34005 3076 26 and and CC A34005 3076 27 the the DT A34005 3076 28 Meridian Meridian NNP A34005 3076 29 of of IN A34005 3076 30 the the DT A34005 3076 31 said say VBD A34005 3076 32 Dial Dial NNP A34005 3076 33 in in IN A34005 3076 34 the the DT A34005 3076 35 Meridian Meridian NNP A34005 3076 36 of of IN A34005 3076 37 the the DT A34005 3076 38 world world NN A34005 3076 39 , , , A34005 3076 40 which which WDT A34005 3076 41 may may MD A34005 3076 42 be be VB A34005 3076 43 done do VBN A34005 3076 44 by by IN A34005 3076 45 plumb plumb JJ A34005 3076 46 lines line NNS A34005 3076 47 let let VBP A34005 3076 48 fall fall VB A34005 3076 49 from from IN A34005 3076 50 the the DT A34005 3076 51 meridian meridian NN A34005 3076 52 on on IN A34005 3076 53 the the DT A34005 3076 54 Cieling cieling NN A34005 3076 55 : : : A34005 3076 56 Then then RB A34005 3076 57 fix fix VB A34005 3076 58 the the DT A34005 3076 59 end end NN A34005 3076 60 of of IN A34005 3076 61 a a DT A34005 3076 62 thread thread NN A34005 3076 63 or or CC A34005 3076 64 silk silk NN A34005 3076 65 in in IN A34005 3076 66 the the DT A34005 3076 67 said say VBN A34005 3076 68 center center NN A34005 3076 69 of of IN A34005 3076 70 the the DT A34005 3076 71 Dial Dial NNP A34005 3076 72 or or CC A34005 3076 73 Glasse Glasse NNP A34005 3076 74 , , , A34005 3076 75 and and CC A34005 3076 76 draw draw VB A34005 3076 77 it -PRON- PRP A34005 3076 78 directly directly RB A34005 3076 79 over over IN A34005 3076 80 any any DT A34005 3076 81 hour hour NN A34005 3076 82 - - HYPH A34005 3076 83 line line NN A34005 3076 84 on on IN A34005 3076 85 the the DT A34005 3076 86 Dial dial NN A34005 3076 87 which which WDT A34005 3076 88 you -PRON- PRP A34005 3076 89 intend intend VBP A34005 3076 90 to to TO A34005 3076 91 draw draw VB A34005 3076 92 , , , A34005 3076 93 and and CC A34005 3076 94 at at IN A34005 3076 95 the the DT A34005 3076 96 further further JJ A34005 3076 97 side side NN A34005 3076 98 of of IN A34005 3076 99 the the DT A34005 3076 100 room room NN A34005 3076 101 , , , A34005 3076 102 and and CC A34005 3076 103 there there EX A34005 3076 104 let let VB A34005 3076 105 one one CD A34005 3076 106 hold hold VB A34005 3076 107 or or CC A34005 3076 108 fasten fasten VB A34005 3076 109 that that DT A34005 3076 110 thread thread NN A34005 3076 111 with with IN A34005 3076 112 a a DT A34005 3076 113 small small JJ A34005 3076 114 nail nail NN A34005 3076 115 . . . A34005 3077 1 Then then RB A34005 3077 2 in in IN A34005 3077 3 the the DT A34005 3077 4 point point NN A34005 3077 5 formerly formerly RB A34005 3077 6 found find VBN A34005 3077 7 on on IN A34005 3077 8 the the DT A34005 3077 9 reversed reversed JJ A34005 3077 10 Axis Axis NNP A34005 3077 11 on on IN A34005 3077 12 the the DT A34005 3077 13 ● ● CD A34005 3077 14 oor oor NN A34005 3077 15 , , , A34005 3077 16 fix fix VB A34005 3077 17 another another DT A34005 3077 18 thread thread NN A34005 3077 19 there there RB A34005 3077 20 ( ( -LRB- A34005 3077 21 as as IN A34005 3077 22 formerly formerly RB A34005 3077 23 was be VBD A34005 3077 24 done do VBN A34005 3077 25 in in IN A34005 3077 26 the the DT A34005 3077 27 center center NN A34005 3077 28 of of IN A34005 3077 29 the the DT A34005 3077 30 Diall Diall NNP A34005 3077 31 ) ) -RRB- A34005 3077 32 then then RB A34005 3077 33 take take VBP A34005 3077 34 that that DT A34005 3077 35 thread thread NN A34005 3077 36 , , , A34005 3077 37 and and CC A34005 3077 38 make make VB A34005 3077 39 it -PRON- PRP A34005 3077 40 just just RB A34005 3077 41 touch touch VB A34005 3077 42 the the DT A34005 3077 43 thread thread NN A34005 3077 44 ( ( -LRB- A34005 3077 45 on on IN A34005 3077 46 the the DT A34005 3077 47 hour hour NN A34005 3077 48 - - HYPH A34005 3077 49 line line NN A34005 3077 50 of of IN A34005 3077 51 the the DT A34005 3077 52 Horizontal Horizontal NNP A34005 3077 53 Dial Dial NNP A34005 3077 54 extended extend VBN A34005 3077 55 ) ) -RRB- A34005 3077 56 in in IN A34005 3077 57 any any DT A34005 3077 58 point point NN A34005 3077 59 thereof thereof RB A34005 3077 60 , , , A34005 3077 61 it -PRON- PRP A34005 3077 62 matters matter VBZ A34005 3077 63 not not RB A34005 3077 64 whereabouts whereabout NNS A34005 3077 65 , , , A34005 3077 66 and and CC A34005 3077 67 mark mark VB A34005 3077 68 where where WRB A34005 3077 69 the the DT A34005 3077 70 end end NN A34005 3077 71 of of IN A34005 3077 72 that that DT A34005 3077 73 thread thread NN A34005 3077 74 toucheth toucheth NNP A34005 3077 75 the the DT A34005 3077 76 Wall Wall NNP A34005 3077 77 or or CC A34005 3077 78 Cieling Cieling NNP A34005 3077 79 , , , A34005 3077 80 and and CC A34005 3077 81 there there EX A34005 3077 82 make make VBP A34005 3077 83 some some DT A34005 3077 84 mark mark NN A34005 3077 85 or or CC A34005 3077 86 point point NN A34005 3077 87 . . . A34005 3078 1 Then then RB A34005 3078 2 again again RB A34005 3078 3 move move VB A34005 3078 4 the the DT A34005 3078 5 same same JJ A34005 3078 6 thread thread NN A34005 3078 7 higher higher RBR A34005 3078 8 or or CC A34005 3078 9 lower lower RBR A34005 3078 10 at at IN A34005 3078 11 pleasure pleasure NN A34005 3078 12 , , , A34005 3078 13 till till IN A34005 3078 14 it -PRON- PRP A34005 3078 15 , , , A34005 3078 16 as as RB A34005 3078 17 formerly formerly RB A34005 3078 18 touch touch VB A34005 3078 19 the the DT A34005 3078 20 said say VBN A34005 3078 21 same same JJ A34005 3078 22 hour hour NN A34005 3078 23 thread thread NN A34005 3078 24 , , , A34005 3078 25 and and CC A34005 3078 26 mark mark VB A34005 3078 27 again again RB A34005 3078 28 whereabouts whereabout VBZ A34005 3078 29 on on IN A34005 3078 30 the the DT A34005 3078 31 wall wall NN A34005 3078 32 or or CC A34005 3078 33 Cieling Cieling NNP A34005 3078 34 , , , A34005 3078 35 the the DT A34005 3078 36 end end NN A34005 3078 37 of of IN A34005 3078 38 the the DT A34005 3078 39 said say VBN A34005 3078 40 thread thread NN A34005 3078 41 also also RB A34005 3078 42 toucheth toucheth NNP A34005 3078 43 . . . A34005 3079 1 In in IN A34005 3079 2 like like JJ A34005 3079 3 manner manner NN A34005 3079 4 may may MD A34005 3079 5 be be VB A34005 3079 6 found find VBN A34005 3079 7 more more JJR A34005 3079 8 points point NNS A34005 3079 9 at at IN A34005 3079 10 pleasure pleasure NN A34005 3079 11 , , , A34005 3079 12 but but CC A34005 3079 13 any any DT A34005 3079 14 two two CD A34005 3079 15 will will MD A34005 3079 16 be be VB A34005 3079 17 sufficient sufficient JJ A34005 3079 18 for for IN A34005 3079 19 the the DT A34005 3079 20 projecting projecting NN A34005 3079 21 or or CC A34005 3079 22 drawing draw VBG A34005 3079 23 any any DT A34005 3079 24 hour hour NN A34005 3079 25 - - HYPH A34005 3079 26 line line NN A34005 3079 27 on on IN A34005 3079 28 any any DT A34005 3079 29 plain plain NN A34005 3079 30 , , , A34005 3079 31 how how WRB A34005 3079 32 irregular irregular JJ A34005 3079 33 soever soever NN A34005 3079 34 . . . A34005 3080 1 For for IN A34005 3080 2 if if IN A34005 3080 3 you -PRON- PRP A34005 3080 4 move move VBP A34005 3080 5 a a DT A34005 3080 6 thread thread NN A34005 3080 7 , , , A34005 3080 8 and and CC A34005 3080 9 also also RB A34005 3080 10 your -PRON- PRP$ A34005 3080 11 eye eye NN A34005 3080 12 to to IN A34005 3080 13 and and CC A34005 3080 14 fro fro NNP A34005 3080 15 , , , A34005 3080 16 until until IN A34005 3080 17 you -PRON- PRP A34005 3080 18 bring bring VBP A34005 3080 19 the the DT A34005 3080 20 said say VBN A34005 3080 21 thread thread NN A34005 3080 22 directly directly RB A34005 3080 23 between between IN A34005 3080 24 your -PRON- PRP$ A34005 3080 25 eye eye NN A34005 3080 26 and and CC A34005 3080 27 the the DT A34005 3080 28 points point NNS A34005 3080 29 formerly formerly RB A34005 3080 30 found find VBN A34005 3080 31 , , , A34005 3080 32 you -PRON- PRP A34005 3080 33 may may MD A34005 3080 34 project project VB A34005 3080 35 thereby thereby RB A34005 3080 36 as as RB A34005 3080 37 many many JJ A34005 3080 38 points point NNS A34005 3080 39 as as IN A34005 3080 40 you -PRON- PRP A34005 3080 41 please please VBP A34005 3080 42 at at IN A34005 3080 43 every every DT A34005 3080 44 angle angle NN A34005 3080 45 of of IN A34005 3080 46 the the DT A34005 3080 47 Wall Wall NNP A34005 3080 48 or or CC A34005 3080 49 Cieling Cieling NNP A34005 3080 50 , , , A34005 3080 51 whereby whereby WRB A34005 3080 52 the the DT A34005 3080 53 reflected reflected JJ A34005 3080 54 hour hour NN A34005 3080 55 - - HYPH A34005 3080 56 line line NN A34005 3080 57 may may MD A34005 3080 58 be be VB A34005 3080 59 exactly exactly RB A34005 3080 60 drawn draw VBN A34005 3080 61 . . . A34005 3081 1 Again again RB A34005 3081 2 , , , A34005 3081 3 in in IN A34005 3081 4 like like JJ A34005 3081 5 manner manner NN A34005 3081 6 remove remove VB A34005 3081 7 the the DT A34005 3081 8 said say VBN A34005 3081 9 thread thread NN A34005 3081 10 fastned fastne VBN A34005 3081 11 in in IN A34005 3081 12 the the DT A34005 3081 13 center center NN A34005 3081 14 of of IN A34005 3081 15 the the DT A34005 3081 16 Horizontal Horizontal NNP A34005 3081 17 Dial Dial NNP A34005 3081 18 , , , A34005 3081 19 ( ( -LRB- A34005 3081 20 which which WDT A34005 3081 21 also also RB A34005 3081 22 is be VBZ A34005 3081 23 the the DT A34005 3081 24 center center NN A34005 3081 25 of of IN A34005 3081 26 the the DT A34005 3081 27 Glasse Glasse NNP A34005 3081 28 ) ) -RRB- A34005 3081 29 on on IN A34005 3081 30 any any DT A34005 3081 31 other other JJ A34005 3081 32 hour hour NN A34005 3081 33 - - HYPH A34005 3081 34 line line NN A34005 3081 35 desired desire VBN A34005 3081 36 to to TO A34005 3081 37 be be VB A34005 3081 38 drawn draw VBN A34005 3081 39 , , , A34005 3081 40 and and CC A34005 3081 41 as as IN A34005 3081 42 before before IN A34005 3081 43 fasten fasten RB A34005 3081 44 the the DT A34005 3081 45 other other JJ A34005 3081 46 end end NN A34005 3081 47 of of IN A34005 3081 48 the the DT A34005 3081 49 thread thread NN A34005 3081 50 , , , A34005 3081 51 by by IN A34005 3081 52 a a DT A34005 3081 53 small small JJ A34005 3081 54 nail nail NN A34005 3081 55 , , , A34005 3081 56 or or CC A34005 3081 57 otherwise otherwise RB A34005 3081 58 at at IN A34005 3081 59 the the DT A34005 3081 60 further further JJ A34005 3081 61 side side NN A34005 3081 62 of of IN A34005 3081 63 the the DT A34005 3081 64 room room NN A34005 3081 65 , , , A34005 3081 66 but but CC A34005 3081 67 so so RB A34005 3081 68 that that IN A34005 3081 69 the the DT A34005 3081 70 said say VBN A34005 3081 71 thread thread NN A34005 3081 72 may may MD A34005 3081 73 lie lie VB A34005 3081 74 just just RB A34005 3081 75 on on IN A34005 3081 76 the the DT A34005 3081 77 hour hour NN A34005 3081 78 - - HYPH A34005 3081 79 line line NN A34005 3081 80 proposed propose VBN A34005 3081 81 to to TO A34005 3081 82 be be VB A34005 3081 83 drawn draw VBN A34005 3081 84 on on IN A34005 3081 85 the the DT A34005 3081 86 Horizontal Horizontal NNP A34005 3081 87 Dial Dial NNP A34005 3081 88 . . . A34005 3082 1 Then then RB A34005 3082 2 ( ( -LRB- A34005 3082 3 as as IN A34005 3082 4 before before RB A34005 3082 5 ) ) -RRB- A34005 3082 6 take take VB A34005 3082 7 the the DT A34005 3082 8 thread thread NN A34005 3082 9 fastened fasten VBN A34005 3082 10 in in IN A34005 3082 11 the the DT A34005 3082 12 point point NN A34005 3082 13 on on IN A34005 3082 14 the the DT A34005 3082 15 reflected reflect VBN A34005 3082 16 Axis Axis NNP A34005 3082 17 , , , A34005 3082 18 and and CC A34005 3082 19 bring bring VB A34005 3082 20 it -PRON- PRP A34005 3082 21 to to TO A34005 3082 22 touch touch VB A34005 3082 23 the the DT A34005 3082 24 thread thread NN A34005 3082 25 of of IN A34005 3082 26 the the DT A34005 3082 27 hour hour NN A34005 3082 28 - - HYPH A34005 3082 29 line line NN A34005 3082 30 in in IN A34005 3082 31 any any DT A34005 3082 32 part part NN A34005 3082 33 thereof thereof RB A34005 3082 34 , , , A34005 3082 35 and and CC A34005 3082 36 mark mark VB A34005 3082 37 where where WRB A34005 3082 38 the the DT A34005 3082 39 end end NN A34005 3082 40 of of IN A34005 3082 41 that that DT A34005 3082 42 thread thread NN A34005 3082 43 toucheth toucheth NNP A34005 3082 44 the the DT A34005 3082 45 said say VBD A34005 3082 46 Wall Wall NNP A34005 3082 47 or or CC A34005 3082 48 Cieling Cieling NNP A34005 3082 49 : : : A34005 3082 50 Then then RB A34005 3082 51 again again RB A34005 3082 52 ( ( -LRB- A34005 3082 53 as as IN A34005 3082 54 before before RB A34005 3082 55 ) ) -RRB- A34005 3082 56 move move VB A34005 3082 57 the the DT A34005 3082 58 said said JJ A34005 3082 59 thread thread NN A34005 3082 60 so so RB A34005 3082 61 , , , A34005 3082 62 as as IN A34005 3082 63 that that IN A34005 3082 64 it -PRON- PRP A34005 3082 65 only only RB A34005 3082 66 touch touch VBP A34005 3082 67 the the DT A34005 3082 68 said said JJ A34005 3082 69 thread thread NN A34005 3082 70 of of IN A34005 3082 71 the the DT A34005 3082 72 hour hour NN A34005 3082 73 - - HYPH A34005 3082 74 line line NN A34005 3082 75 in in IN A34005 3082 76 any any DT A34005 3082 77 other other JJ A34005 3082 78 part part NN A34005 3082 79 thereof thereof RB A34005 3082 80 , , , A34005 3082 81 and and CC A34005 3082 82 also also RB A34005 3082 83 mark mark VB A34005 3082 84 where where WRB A34005 3082 85 the the DT A34005 3082 86 end end NN A34005 3082 87 of of IN A34005 3082 88 that that DT A34005 3082 89 thread thread NN A34005 3082 90 toucheth toucheth NNP A34005 3082 91 the the DT A34005 3082 92 said say VBD A34005 3082 93 Wall Wall NNP A34005 3082 94 or or CC A34005 3082 95 Cieling Cieling NNP A34005 3082 96 : : : A34005 3082 97 So so RB A34005 3082 98 is be VBZ A34005 3082 99 there there EX A34005 3082 100 found find VBN A34005 3082 101 two two CD A34005 3082 102 points point NNS A34005 3082 103 on on IN A34005 3082 104 the the DT A34005 3082 105 Wall Wall NNP A34005 3082 106 or or CC A34005 3082 107 Cieling Cieling NNP A34005 3082 108 , , , A34005 3082 109 being be VBG A34005 3082 110 in in IN A34005 3082 111 the the DT A34005 3082 112 reflected reflected JJ A34005 3082 113 hour hour NN A34005 3082 114 - - HYPH A34005 3082 115 line line NN A34005 3082 116 desired desire VBN A34005 3082 117 , , , A34005 3082 118 by by IN A34005 3082 119 help help NN A34005 3082 120 of of IN A34005 3082 121 which which WDT A34005 3082 122 two two CD A34005 3082 123 points point VBZ A34005 3082 124 the the DT A34005 3082 125 whole whole JJ A34005 3082 126 hour hour NN A34005 3082 127 - - HYPH A34005 3082 128 line line NN A34005 3082 129 may may MD A34005 3082 130 be be VB A34005 3082 131 drawn draw VBN A34005 3082 132 ; ; : A34005 3082 133 for for IN A34005 3082 134 if if IN A34005 3082 135 ( ( -LRB- A34005 3082 136 as as IN A34005 3082 137 before before IN A34005 3082 138 ) ) -RRB- A34005 3082 139 a a DT A34005 3082 140 thread thread NN A34005 3082 141 be be VB A34005 3082 142 so so RB A34005 3082 143 scituated scituate VBN A34005 3082 144 , , , A34005 3082 145 that that IN A34005 3082 146 it -PRON- PRP A34005 3082 147 may may MD A34005 3082 148 interpose interpose VB A34005 3082 149 between between IN A34005 3082 150 the the DT A34005 3082 151 eye eye NN A34005 3082 152 and and CC A34005 3082 153 the the DT A34005 3082 154 said say VBD A34005 3082 155 two two CD A34005 3082 156 points point NNS A34005 3082 157 found find VBD A34005 3082 158 , , , A34005 3082 159 you -PRON- PRP A34005 3082 160 may may MD A34005 3082 161 make make VB A34005 3082 162 many many JJ A34005 3082 163 points point NNS A34005 3082 164 at at IN A34005 3082 165 pleasure pleasure NN A34005 3082 166 , , , A34005 3082 167 whereunto whereunto IN A34005 3082 168 the the DT A34005 3082 169 said say VBN A34005 3082 170 thread thread NN A34005 3082 171 may may MD A34005 3082 172 also also RB A34005 3082 173 interpose interpose VB A34005 3082 174 , , , A34005 3082 175 which which WDT A34005 3082 176 for for IN A34005 3082 177 more more JJR A34005 3082 178 conveniency conveniency NN A34005 3082 179 may may MD A34005 3082 180 be be VB A34005 3082 181 made make VBN A34005 3082 182 at at IN A34005 3082 183 every every DT A34005 3082 184 angle angle NN A34005 3082 185 or or CC A34005 3082 186 bending bending NN A34005 3082 187 of of IN A34005 3082 188 the the DT A34005 3082 189 Wall Wall NNP A34005 3082 190 or or CC A34005 3082 191 Cieling Cieling NNP A34005 3082 192 , , , A34005 3082 193 be be VB A34005 3082 194 they -PRON- PRP A34005 3082 195 never never RB A34005 3082 196 so so RB A34005 3082 197 many many JJ A34005 3082 198 : : : A34005 3082 199 So so IN A34005 3082 200 that that IN A34005 3082 201 if if IN A34005 3082 202 lines line NNS A34005 3082 203 be be VBP A34005 3082 204 drawn draw VBN A34005 3082 205 from from IN A34005 3082 206 point point NN A34005 3082 207 to to IN A34005 3082 208 point point NN A34005 3082 209 , , , A34005 3082 210 that that WDT A34005 3082 211 said say VBD A34005 3082 212 reflected reflected JJ A34005 3082 213 hour hour NN A34005 3082 214 - - HYPH A34005 3082 215 line line NN A34005 3082 216 will will MD A34005 3082 217 be be VB A34005 3082 218 also also RB A34005 3082 219 exactly exactly RB A34005 3082 220 drawn draw VBN A34005 3082 221 . . . A34005 3083 1 In in IN A34005 3083 2 like like JJ A34005 3083 3 manner manner NN A34005 3083 4 may may MD A34005 3083 5 the the DT A34005 3083 6 other other JJ A34005 3083 7 hour hour NN A34005 3083 8 - - HYPH A34005 3083 9 lines line NNS A34005 3083 10 be be VB A34005 3083 11 drawn draw VBN A34005 3083 12 so so RB A34005 3083 13 , , , A34005 3083 14 that that IN A34005 3083 15 the the DT A34005 3083 16 Reflex Reflex NNP A34005 3083 17 or or CC A34005 3083 18 spot spot NN A34005 3083 19 of of IN A34005 3083 20 the the DT A34005 3083 21 Sun Sun NNP A34005 3083 22 from from IN A34005 3083 23 the the DT A34005 3083 24 said say VBN A34005 3083 25 Horizontal Horizontal NNP A34005 3083 26 Glasse Glasse NNP A34005 3083 27 scituated scituate VBD A34005 3083 28 in in IN A34005 3083 29 the the DT A34005 3083 30 said say VBN A34005 3083 31 window window NN A34005 3083 32 ( ( -LRB- A34005 3083 33 as as IN A34005 3083 34 before before RB A34005 3083 35 ) ) -RRB- A34005 3083 36 shining shine VBG A34005 3083 37 amongst amongst IN A34005 3083 38 the the DT A34005 3083 39 said say VBD A34005 3083 40 reflected reflected JJ A34005 3083 41 hour hour NN A34005 3083 42 - - HYPH A34005 3083 43 lines line NNS A34005 3083 44 drawn draw VBN A34005 3083 45 on on IN A34005 3083 46 the the DT A34005 3083 47 wall wall NN A34005 3083 48 or or CC A34005 3083 49 Cieling Cieling NNP A34005 3083 50 , , , A34005 3083 51 will will MD A34005 3083 52 exactly exactly RB A34005 3083 53 shew shew VB A34005 3083 54 the the DT A34005 3083 55 hour hour NN A34005 3083 56 of of IN A34005 3083 57 the the DT A34005 3083 58 day day NN A34005 3083 59 desired desire VBN A34005 3083 60 . . . A34005 3084 1 Now now RB A34005 3084 2 if if IN A34005 3084 3 lines line NNS A34005 3084 4 be be VBP A34005 3084 5 drawn draw VBN A34005 3084 6 round round RB A34005 3084 7 about about IN A34005 3084 8 the the DT A34005 3084 9 said say VBN A34005 3084 10 Room Room NNP A34005 3084 11 , , , A34005 3084 12 equal equal JJ A34005 3084 13 to to IN A34005 3084 14 the the DT A34005 3084 15 Horizon Horizon NNP A34005 3084 16 of of IN A34005 3084 17 the the DT A34005 3084 18 said say VBD A34005 3084 19 Glasse Glasse NNP A34005 3084 20 , , , A34005 3084 21 it -PRON- PRP A34005 3084 22 will will MD A34005 3084 23 shew shew VB A34005 3084 24 when when WRB A34005 3084 25 the the DT A34005 3084 26 Sun Sun NNP A34005 3084 27 is be VBZ A34005 3084 28 in in IN A34005 3084 29 or or CC A34005 3084 30 neer neer VB A34005 3084 31 the the DT A34005 3084 32 Horizon Horizon NNP A34005 3084 33 . . . A34005 3085 1 To to TO A34005 3085 2 draw draw VB A34005 3085 3 the the DT A34005 3085 4 Aequator Aequator NNP A34005 3085 5 and and CC A34005 3085 6 Tropicks Tropicks NNPS A34005 3085 7 on on IN A34005 3085 8 any any DT A34005 3085 9 Wall Wall NNP A34005 3085 10 or or CC A34005 3085 11 Cieling Cieling NNP A34005 3085 12 to to IN A34005 3085 13 any any DT A34005 3085 14 Horizontal Horizontal NNP A34005 3085 15 reflecting reflect VBG A34005 3085 16 Glasse Glasse NNP A34005 3085 17 . . . A34005 3086 1 1 1 CD A34005 3086 2 To to TO A34005 3086 3 draw draw VB A34005 3086 4 the the DT A34005 3086 5 Reflected Reflected NNP A34005 3086 6 Aequator Aequator NNP A34005 3086 7 or or CC A34005 3086 8 Equinoctial Equinoctial NNP A34005 3086 9 - - HYPH A34005 3086 10 line line NN A34005 3086 11 on on IN A34005 3086 12 the the DT A34005 3086 13 Wall Wall NNP A34005 3086 14 or or CC A34005 3086 15 Cieling Cieling NNP A34005 3086 16 , , , A34005 3086 17 which which WDT A34005 3086 18 represents represent VBZ A34005 3086 19 a a DT A34005 3086 20 great great JJ A34005 3086 21 Circle Circle NNP A34005 3086 22 . . . A34005 3087 1 TAke take VB A34005 3087 2 the the DT A34005 3087 3 thread thread NN A34005 3087 4 fixed fix VBN A34005 3087 5 in in IN A34005 3087 6 the the DT A34005 3087 7 Center Center NNP A34005 3087 8 of of IN A34005 3087 9 the the DT A34005 3087 10 Glasse Glasse NNP A34005 3087 11 , , , A34005 3087 12 and and CC A34005 3087 13 move move VB A34005 3087 14 the the DT A34005 3087 15 end end NN A34005 3087 16 thereof thereof RB A34005 3087 17 to to IN A34005 3087 18 and and CC A34005 3087 19 fro fro NNP A34005 3087 20 in in IN A34005 3087 21 the the DT A34005 3087 22 meridian meridian JJ A34005 3087 23 line line NN A34005 3087 24 drawn draw VBN A34005 3087 25 on on IN A34005 3087 26 the the DT A34005 3087 27 Cieling cieling NN A34005 3087 28 , , , A34005 3087 29 untill untill NN A34005 3087 30 by by IN A34005 3087 31 help help NN A34005 3087 32 of of IN A34005 3087 33 a a DT A34005 3087 34 Quadrant Quadrant NNP A34005 3087 35 the the DT A34005 3087 36 said say VBN A34005 3087 37 thread thread NN A34005 3087 38 be be VB A34005 3087 39 elevated elevate VBN A34005 3087 40 equal equal JJ A34005 3087 41 to to IN A34005 3087 42 the the DT A34005 3087 43 complement complement NN A34005 3087 44 of of IN A34005 3087 45 the the DT A34005 3087 46 Latitude Latitude NNP A34005 3087 47 , , , A34005 3087 48 ( ( -LRB- A34005 3087 49 which which WDT A34005 3087 50 will will MD A34005 3087 51 be be VB A34005 3087 52 alwayes alwayes NNP A34005 3087 53 perpendicular perpendicular JJ A34005 3087 54 to to IN A34005 3087 55 the the DT A34005 3087 56 reversed reversed JJ A34005 3087 57 Axis Axis NNP A34005 3087 58 ) ) -RRB- A34005 3087 59 marking mark VBG A34005 3087 60 in in IN A34005 3087 61 the the DT A34005 3087 62 Meridian Meridian NNP A34005 3087 63 where where WRB A34005 3087 64 the the DT A34005 3087 65 end end NN A34005 3087 66 of of IN A34005 3087 67 that that DT A34005 3087 68 thread thread NN A34005 3087 69 falls fall VBZ A34005 3087 70 , , , A34005 3087 71 then then RB A34005 3087 72 on on IN A34005 3087 73 that that DT A34005 3087 74 point point NN A34005 3087 75 and and CC A34005 3087 76 the the DT A34005 3087 77 said say VBN A34005 3087 78 meridian meridian JJ A34005 3087 79 line line NN A34005 3087 80 on on IN A34005 3087 81 the the DT A34005 3087 82 Cieling Cieling NNP A34005 3087 83 erect erect NN A34005 3087 84 a a DT A34005 3087 85 perpendicular perpendicular JJ A34005 3087 86 line line NN A34005 3087 87 , , , A34005 3087 88 which which WDT A34005 3087 89 line line NN A34005 3087 90 may may MD A34005 3087 91 be be VB A34005 3087 92 continued continue VBN A34005 3087 93 on on IN A34005 3087 94 any any DT A34005 3087 95 plane plane NN A34005 3087 96 whatsoever whatsoever RB A34005 3087 97 , , , A34005 3087 98 and and CC A34005 3087 99 is be VBZ A34005 3087 100 the the DT A34005 3087 101 reflected reflected JJ A34005 3087 102 Equinoctial equinoctial JJ A34005 3087 103 line line NN A34005 3087 104 desired desire VBN A34005 3087 105 . . . A34005 3088 1 Note note VB A34005 3088 2 that that IN A34005 3088 3 all all DT A34005 3088 4 great great JJ A34005 3088 5 Circles circle NNS A34005 3088 6 are be VBP A34005 3088 7 right right JJ A34005 3088 8 lines line NNS A34005 3088 9 , , , A34005 3088 10 & & CC A34005 3088 11 are be VBP A34005 3088 12 alwayes alwayes NNP A34005 3088 13 drawn draw VBN A34005 3088 14 or or CC A34005 3088 15 projected project VBD A34005 3088 16 from from IN A34005 3088 17 a a DT A34005 3088 18 right right JJ A34005 3088 19 line line NN A34005 3088 20 . . . A34005 3089 1 2 2 LS A34005 3089 2 . . . A34005 3090 1 To to TO A34005 3090 2 draw draw VB A34005 3090 3 the the DT A34005 3090 4 Tropicks tropick NNS A34005 3090 5 . . . A34005 3091 1 Note note VB A34005 3091 2 , , , A34005 3091 3 that that IN A34005 3091 4 all all DT A34005 3091 5 Parallels Parallels NNPS A34005 3091 6 of of IN A34005 3091 7 Declination declination NN A34005 3091 8 are be VBP A34005 3091 9 lesser less JJR A34005 3091 10 Circles Circles NNP A34005 3091 11 , , , A34005 3091 12 and and CC A34005 3091 13 are be VBP A34005 3091 14 Conick Conick NNP A34005 3091 15 Sections Sections NNPS A34005 3091 16 . . . A34005 3092 1 FIrst first RB A34005 3092 2 , , , A34005 3092 3 make make VB A34005 3092 4 or or CC A34005 3092 5 take take VB A34005 3092 6 out out IN A34005 3092 7 of of IN A34005 3092 8 some some DT A34005 3092 9 Book Book NNP A34005 3092 10 a a DT A34005 3092 11 Table table NN A34005 3092 12 of of IN A34005 3092 13 the the DT A34005 3092 14 Suns Suns NNPS A34005 3092 15 Altitude Altitude NNP A34005 3092 16 for for IN A34005 3092 17 each each DT A34005 3092 18 hour hour NN A34005 3092 19 of of IN A34005 3092 20 the the DT A34005 3092 21 day day NN A34005 3092 22 , , , A34005 3092 23 calculated calculate VBN A34005 3092 24 for for IN A34005 3092 25 the the DT A34005 3092 26 place place NN A34005 3092 27 or or CC A34005 3092 28 Latitude Latitude NNP A34005 3092 29 proposed propose VBD A34005 3092 30 , , , A34005 3092 31 when when WRB A34005 3092 32 the the DT A34005 3092 33 Sun Sun NNP A34005 3092 34 is be VBZ A34005 3092 35 in in IN A34005 3092 36 either either DT A34005 3092 37 of of IN A34005 3092 38 the the DT A34005 3092 39 Tropicks tropick NNS A34005 3092 40 . . . A34005 3093 1 Then then RB A34005 3093 2 take take VB A34005 3093 3 the the DT A34005 3093 4 thread thread NN A34005 3093 5 fixed fix VBN A34005 3093 6 in in IN A34005 3093 7 the the DT A34005 3093 8 center center NN A34005 3093 9 of of IN A34005 3093 10 the the DT A34005 3093 11 Glasse Glasse NNP A34005 3093 12 , , , A34005 3093 13 and and CC A34005 3093 14 by by IN A34005 3093 15 applying apply VBG A34005 3093 16 one one CD A34005 3093 17 side side NN A34005 3093 18 of of IN A34005 3093 19 a a DT A34005 3093 20 quadrant quadrant NN A34005 3093 21 to to IN A34005 3093 22 the the DT A34005 3093 23 said said JJ A34005 3093 24 thread thread NN A34005 3093 25 , , , A34005 3093 26 and and CC A34005 3093 27 moving move VBG A34005 3093 28 one one CD A34005 3093 29 end end NN A34005 3093 30 of of IN A34005 3093 31 it -PRON- PRP A34005 3093 32 to to IN A34005 3093 33 and and CC A34005 3093 34 fro fro NNP A34005 3093 35 in in IN A34005 3093 36 the the DT A34005 3093 37 hour hour NN A34005 3093 38 - - HYPH A34005 3093 39 line line NN A34005 3093 40 proposed propose VBN A34005 3093 41 , , , A34005 3093 42 elevate elevate VB A34005 3093 43 the the DT A34005 3093 44 said said JJ A34005 3093 45 thread thread NN A34005 3093 46 answerable answerable JJ A34005 3093 47 to to IN A34005 3093 48 the the DT A34005 3093 49 Suns Suns NNPS A34005 3093 50 height height NN A34005 3093 51 in in IN A34005 3093 52 that that DT A34005 3093 53 hour hour NN A34005 3093 54 , , , A34005 3093 55 when when WRB A34005 3093 56 he -PRON- PRP A34005 3093 57 is be VBZ A34005 3093 58 in in IN A34005 3093 59 that that DT A34005 3093 60 Tropick Tropick NNP A34005 3093 61 you -PRON- PRP A34005 3093 62 desire desire VBP A34005 3093 63 to to TO A34005 3093 64 draw draw VB A34005 3093 65 , , , A34005 3093 66 and and CC A34005 3093 67 mark mark VB A34005 3093 68 where where WRB A34005 3093 69 the the DT A34005 3093 70 end end NN A34005 3093 71 of of IN A34005 3093 72 that that DT A34005 3093 73 thread thread NN A34005 3093 74 so so RB A34005 3093 75 elevated elevated JJ A34005 3093 76 toucheth toucheth NNP A34005 3093 77 in in IN A34005 3093 78 that that DT A34005 3093 79 hour hour NN A34005 3093 80 - - HYPH A34005 3093 81 line line NN A34005 3093 82 proposed propose VBN A34005 3093 83 . . . A34005 3094 1 So so CC A34005 3094 2 may may MD A34005 3094 3 you -PRON- PRP A34005 3094 4 in in RP A34005 3094 5 like like IN A34005 3094 6 manner manner NN A34005 3094 7 finde finde NNP A34005 3094 8 a a DT A34005 3094 9 several several JJ A34005 3094 10 point point NN A34005 3094 11 in in IN A34005 3094 12 each each DT A34005 3094 13 hour hour NN A34005 3094 14 - - HYPH A34005 3094 15 line line NN A34005 3094 16 for for IN A34005 3094 17 the the DT A34005 3094 18 Suns Suns NNPS A34005 3094 19 height height NN A34005 3094 20 in in IN A34005 3094 21 that that DT A34005 3094 22 Tropick Tropick NNP A34005 3094 23 , , , A34005 3094 24 whereby whereby WRB A34005 3094 25 a a DT A34005 3094 26 line line NN A34005 3094 27 may may MD A34005 3094 28 be be VB A34005 3094 29 drawn draw VBN A34005 3094 30 on on IN A34005 3094 31 the the DT A34005 3094 32 Wall Wall NNP A34005 3094 33 or or CC A34005 3094 34 Cieling Cieling NNP A34005 3094 35 from from IN A34005 3094 36 point point NN A34005 3094 37 to to TO A34005 3094 38 point point NN A34005 3094 39 formerly formerly RB A34005 3094 40 made make VBN A34005 3094 41 in in IN A34005 3094 42 the the DT A34005 3094 43 said say VBN A34005 3094 44 hour hour NN A34005 3094 45 - - HYPH A34005 3094 46 lines line NNS A34005 3094 47 , , , A34005 3094 48 which which WDT A34005 3094 49 the the DT A34005 3094 50 Tropick Tropick NNP A34005 3094 51 desired desire VBD A34005 3094 52 . . . A34005 3095 1 In in IN A34005 3095 2 like like JJ A34005 3095 3 manner manner NN A34005 3095 4 may may MD A34005 3095 5 any any DT A34005 3095 6 parallel parallel NN A34005 3095 7 of of IN A34005 3095 8 Declination declination NN A34005 3095 9 be be VB A34005 3095 10 drawn draw VBN A34005 3095 11 : : : A34005 3095 12 If if IN A34005 3095 13 there there EX A34005 3095 14 be be VB A34005 3095 15 first first RB A34005 3095 16 calculated calculate VBN A34005 3095 17 a a DT A34005 3095 18 Table table NN A34005 3095 19 of of IN A34005 3095 20 the the DT A34005 3095 21 Suns Suns NNPS A34005 3095 22 altitude altitude NN A34005 3095 23 at at IN A34005 3095 24 all all DT A34005 3095 25 hours hour NNS A34005 3095 26 of of IN A34005 3095 27 the the DT A34005 3095 28 day day NN A34005 3095 29 , , , A34005 3095 30 when when WRB A34005 3095 31 the the DT A34005 3095 32 Sun Sun NNP A34005 3095 33 hath hath NN A34005 3095 34 any any DT A34005 3095 35 Declination declination NN A34005 3095 36 proposed propose VBN A34005 3095 37 , , , A34005 3095 38 whereby whereby WRB A34005 3095 39 may may MD A34005 3095 40 be be VB A34005 3095 41 drawn draw VBN A34005 3095 42 either either CC A34005 3095 43 the the DT A34005 3095 44 Parallels Parallels NNPS A34005 3095 45 of of IN A34005 3095 46 the the DT A34005 3095 47 Suns Suns NNP A34005 3095 48 place place NN A34005 3095 49 , , , A34005 3095 50 or or CC A34005 3095 51 the the DT A34005 3095 52 parallels parallel NNS A34005 3095 53 of of IN A34005 3095 54 the the DT A34005 3095 55 length length NN A34005 3095 56 of of IN A34005 3095 57 the the DT A34005 3095 58 day day NN A34005 3095 59 . . . A34005 3096 1 To to TO A34005 3096 2 draw draw VB A34005 3096 3 the the DT A34005 3096 4 parallels parallel NNS A34005 3096 5 of of IN A34005 3096 6 Declination declination NN A34005 3096 7 to to IN A34005 3096 8 any any DT A34005 3096 9 Reflected Reflected NNP A34005 3096 10 Glasse Glasse NNP A34005 3096 11 most most RBS A34005 3096 12 easily easily RB A34005 3096 13 , , , A34005 3096 14 by by IN A34005 3096 15 help help NN A34005 3096 16 of of IN A34005 3096 17 a a DT A34005 3096 18 Trigon Trigon NNP A34005 3096 19 first first RB A34005 3096 20 made make VBN A34005 3096 21 on on IN A34005 3096 22 past past JJ A34005 3096 23 board board NN A34005 3096 24 or or CC A34005 3096 25 other other JJ A34005 3096 26 material material NN A34005 3096 27 . . . A34005 3097 1 FIx FIx NNS A34005 3097 2 the the DT A34005 3097 3 Trigon Trigon NNP A34005 3097 4 to to IN A34005 3097 5 the the DT A34005 3097 6 reflected reflect VBN A34005 3097 7 roversed roverse VBN A34005 3097 8 Axis Axis NNP A34005 3097 9 , , , A34005 3097 10 so so IN A34005 3097 11 that that IN A34005 3097 12 the the DT A34005 3097 13 center center NN A34005 3097 14 of of IN A34005 3097 15 the the DT A34005 3097 16 Trigon Trigon NNP A34005 3097 17 may may MD A34005 3097 18 be be VB A34005 3097 19 in in IN A34005 3097 20 the the DT A34005 3097 21 center center NN A34005 3097 22 of of IN A34005 3097 23 the the DT A34005 3097 24 Glasse Glasse NNP A34005 3097 25 , , , A34005 3097 26 then then RB A34005 3097 27 will will MD A34005 3097 28 the the DT A34005 3097 29 Equinoctial Equinoctial NNP A34005 3097 30 on on IN A34005 3097 31 the the DT A34005 3097 32 Trigon Trigon NNP A34005 3097 33 be be VB A34005 3097 34 perpendicular perpendicular JJ A34005 3097 35 to to IN A34005 3097 36 the the DT A34005 3097 37 said say VBN A34005 3097 38 Axis Axis NNP A34005 3097 39 : : : A34005 3097 40 then then RB A34005 3097 41 take take VB A34005 3097 42 the the DT A34005 3097 43 thread thread NN A34005 3097 44 fixed fix VBN A34005 3097 45 in in IN A34005 3097 46 the the DT A34005 3097 47 center center NN A34005 3097 48 of of IN A34005 3097 49 the the DT A34005 3097 50 Glasse Glasse NNP A34005 3097 51 , , , A34005 3097 52 and and CC A34005 3097 53 lay lie VBD A34005 3097 54 it -PRON- PRP A34005 3097 55 along along IN A34005 3097 56 either either DT A34005 3097 57 of of IN A34005 3097 58 the the DT A34005 3097 59 Tropicks Tropicks NNPS A34005 3097 60 or or CC A34005 3097 61 other other JJ A34005 3097 62 parallels parallel NNS A34005 3097 63 of of IN A34005 3097 64 Declination declination NN A34005 3097 65 required require VBN A34005 3097 66 , , , A34005 3097 67 which which WDT A34005 3097 68 is be VBZ A34005 3097 69 drawn draw VBN A34005 3097 70 on on IN A34005 3097 71 the the DT A34005 3097 72 said say VBN A34005 3097 73 Trigon Trigon NNP A34005 3097 74 , , , A34005 3097 75 which which WDT A34005 3097 76 thread thread NN A34005 3097 77 must must MD A34005 3097 78 be be VB A34005 3097 79 continued continue VBN A34005 3097 80 so so RB A34005 3097 81 , , , A34005 3097 82 that that IN A34005 3097 83 the the DT A34005 3097 84 end end NN A34005 3097 85 thereof thereof RB A34005 3097 86 may may MD A34005 3097 87 touch touch VB A34005 3097 88 any any DT A34005 3097 89 hour hour NN A34005 3097 90 - - HYPH A34005 3097 91 line line NN A34005 3097 92 , , , A34005 3097 93 and and CC A34005 3097 94 on on IN A34005 3097 95 that that DT A34005 3097 96 hour hour NN A34005 3097 97 - - HYPH A34005 3097 98 line line NN A34005 3097 99 mark mark VB A34005 3097 100 the the DT A34005 3097 101 point point NN A34005 3097 102 of of IN A34005 3097 103 touch touch NN A34005 3097 104 , , , A34005 3097 105 the the DT A34005 3097 106 thread thread NN A34005 3097 107 being be VBG A34005 3097 108 still still RB A34005 3097 109 laid lay VBN A34005 3097 110 on on IN A34005 3097 111 the the DT A34005 3097 112 same same JJ A34005 3097 113 parallel parallel NN A34005 3097 114 of of IN A34005 3097 115 declination declination NN A34005 3097 116 on on IN A34005 3097 117 the the DT A34005 3097 118 Trigon Trigon NNP A34005 3097 119 : : : A34005 3097 120 in in IN A34005 3097 121 the the DT A34005 3097 122 same same JJ A34005 3097 123 manner manner NN A34005 3097 124 finde finde IN A34005 3097 125 a a DT A34005 3097 126 point point NN A34005 3097 127 in in IN A34005 3097 128 each each DT A34005 3097 129 hour hour NN A34005 3097 130 - - HYPH A34005 3097 131 line line NN A34005 3097 132 . . . A34005 3098 1 Lastly lastly RB A34005 3098 2 , , , A34005 3098 3 draw draw VB A34005 3098 4 a a DT A34005 3098 5 line line NN A34005 3098 6 by by IN A34005 3098 7 those those DT A34005 3098 8 points point NNS A34005 3098 9 so so RB A34005 3098 10 found find VBN A34005 3098 11 , , , A34005 3098 12 which which WDT A34005 3098 13 will will MD A34005 3098 14 be be VB A34005 3098 15 the the DT A34005 3098 16 Tropick Tropick NNP A34005 3098 17 - - HYPH A34005 3098 18 line line NN A34005 3098 19 or or CC A34005 3098 20 other other JJ A34005 3098 21 parallel parallel NN A34005 3098 22 of of IN A34005 3098 23 declination declination NN A34005 3098 24 , , , A34005 3098 25 as as IN A34005 3098 26 the the DT A34005 3098 27 thread thread NN A34005 3098 28 was be VBD A34005 3098 29 laid lay VBN A34005 3098 30 on on RP A34005 3098 31 , , , A34005 3098 32 on on IN A34005 3098 33 the the DT A34005 3098 34 Trigon Trigon NNP A34005 3098 35 . . . A34005 3099 1 To to TO A34005 3099 2 draw draw VB A34005 3099 3 the the DT A34005 3099 4 Azimuth azimuth NN A34005 3099 5 - - HYPH A34005 3099 6 lines line NNS A34005 3099 7 on on IN A34005 3099 8 any any DT A34005 3099 9 Wall Wall NNP A34005 3099 10 or or CC A34005 3099 11 Cieling Cieling NNP A34005 3099 12 to to IN A34005 3099 13 any any DT A34005 3099 14 Horizontal Horizontal NNP A34005 3099 15 reflecting reflect VBG A34005 3099 16 Glasse Glasse NNP A34005 3099 17 . . . A34005 3100 1 Note note VB A34005 3100 2 that that IN A34005 3100 3 all all DT A34005 3100 4 Azimuths azimuth NNS A34005 3100 5 are be VBP A34005 3100 6 great great JJ A34005 3100 7 Circles circle NNS A34005 3100 8 . . . A34005 3101 1 FIrst first RB A34005 3101 2 , , , A34005 3101 3 find find VB A34005 3101 4 a a DT A34005 3101 5 vertical vertical JJ A34005 3101 6 point point NN A34005 3101 7 , , , A34005 3101 8 either either CC A34005 3101 9 above above RB A34005 3101 10 to to IN A34005 3101 11 the the DT A34005 3101 12 Zenith Zenith NNP A34005 3101 13 , , , A34005 3101 14 or or CC A34005 3101 15 below below IN A34005 3101 16 to to IN A34005 3101 17 the the DT A34005 3101 18 Nadir Nadir NNP A34005 3101 19 of of IN A34005 3101 20 the the DT A34005 3101 21 Glasse Glasse NNP A34005 3101 22 ( ( -LRB- A34005 3101 23 by by IN A34005 3101 24 some some DT A34005 3101 25 called call VBN A34005 3101 26 a a DT A34005 3101 27 perpendicular perpendicular JJ A34005 3101 28 or or CC A34005 3101 29 plumb plumb JJ A34005 3101 30 line line NN A34005 3101 31 ) ) -RRB- A34005 3101 32 and and CC A34005 3101 33 mark mark VB A34005 3101 34 in in IN A34005 3101 35 what what WDT A34005 3101 36 point point NN A34005 3101 37 it -PRON- PRP A34005 3101 38 cuts cut VBZ A34005 3101 39 the the DT A34005 3101 40 floor floor NN A34005 3101 41 of of IN A34005 3101 42 the the DT A34005 3101 43 room room NN A34005 3101 44 , , , A34005 3101 45 which which WDT A34005 3101 46 point point NN A34005 3101 47 I -PRON- PRP A34005 3101 48 call call VBP A34005 3101 49 the the DT A34005 3101 50 reflected reflected JJ A34005 3101 51 vertical vertical JJ A34005 3101 52 point point NN A34005 3101 53 , , , A34005 3101 54 wherein wherein WRB A34005 3101 55 the the DT A34005 3101 56 end end NN A34005 3101 57 of of IN A34005 3101 58 a a DT A34005 3101 59 thread thread NN A34005 3101 60 is be VBZ A34005 3101 61 to to TO A34005 3101 62 be be VB A34005 3101 63 fixed fix VBN A34005 3101 64 : : : A34005 3101 65 For for IN A34005 3101 66 by by IN A34005 3101 67 a a DT A34005 3101 68 point point NN A34005 3101 69 found find VBN A34005 3101 70 in in IN A34005 3101 71 the the DT A34005 3101 72 reflected reflect VBN A34005 3101 73 Axis Axis NNP A34005 3101 74 of of IN A34005 3101 75 the the DT A34005 3101 76 Horizon Horizon NNP A34005 3101 77 the the DT A34005 3101 78 Azimuths Azimuths NNPS A34005 3101 79 may may MD A34005 3101 80 be be VB A34005 3101 81 drawn draw VBN A34005 3101 82 , , , A34005 3101 83 as as IN A34005 3101 84 by by IN A34005 3101 85 a a DT A34005 3101 86 point point NN A34005 3101 87 found find VBN A34005 3101 88 in in IN A34005 3101 89 the the DT A34005 3101 90 reflected reflect VBN A34005 3101 91 Axis Axis NNP A34005 3101 92 of of IN A34005 3101 93 the the DT A34005 3101 94 Equinoctial equinoctial JJ A34005 3101 95 the the DT A34005 3101 96 hour hour NN A34005 3101 97 - - HYPH A34005 3101 98 lines line NNS A34005 3101 99 may may MD A34005 3101 100 be be VB A34005 3101 101 drawn draw VBN A34005 3101 102 . . . A34005 3102 1 Then then RB A34005 3102 2 on on IN A34005 3102 3 pastboard pastboard NN A34005 3102 4 or or CC A34005 3102 5 other other JJ A34005 3102 6 material material NN A34005 3102 7 draw draw VBP A34005 3102 8 the the DT A34005 3102 9 points point NNS A34005 3102 10 of of IN A34005 3102 11 the the DT A34005 3102 12 Compasse Compasse NNP A34005 3102 13 or or CC A34005 3102 14 other other JJ A34005 3102 15 degrees degree NNS A34005 3102 16 , , , A34005 3102 17 and and CC A34005 3102 18 fix fix VB A34005 3102 19 the the DT A34005 3102 20 center center NN A34005 3102 21 thereof thereof RB A34005 3102 22 in in IN A34005 3102 23 the the DT A34005 3102 24 center center NN A34005 3102 25 of of IN A34005 3102 26 the the DT A34005 3102 27 Glasse Glasse NNP A34005 3102 28 , , , A34005 3102 29 and and CC A34005 3102 30 the the DT A34005 3102 31 meridian meridian NN A34005 3102 32 thereof thereof VBD A34005 3102 33 in in IN A34005 3102 34 the the DT A34005 3102 35 meridian meridian NN A34005 3102 36 of of IN A34005 3102 37 the the DT A34005 3102 38 world world NN A34005 3102 39 , , , A34005 3102 40 as as IN A34005 3102 41 was be VBD A34005 3102 42 shewn shew VBN A34005 3102 43 in in IN A34005 3102 44 drawing draw VBG A34005 3102 45 the the DT A34005 3102 46 hour hour NN A34005 3102 47 - - HYPH A34005 3102 48 lines line NNS A34005 3102 49 , , , A34005 3102 50 being be VBG A34005 3102 51 careful careful JJ A34005 3102 52 to to TO A34005 3102 53 place place VB A34005 3102 54 it -PRON- PRP A34005 3102 55 horizontal horizontal JJ A34005 3102 56 . . . A34005 3103 1 Then then RB A34005 3103 2 take take VB A34005 3103 3 the the DT A34005 3103 4 thread thread NN A34005 3103 5 fixed fix VBN A34005 3103 6 in in IN A34005 3103 7 the the DT A34005 3103 8 place place NN A34005 3103 9 of of IN A34005 3103 10 the the DT A34005 3103 11 glasse glasse NN A34005 3103 12 , , , A34005 3103 13 and and CC A34005 3103 14 draw draw VB A34005 3103 15 it -PRON- PRP A34005 3103 16 over over IN A34005 3103 17 any any DT A34005 3103 18 Azimuth Azimuth NNP A34005 3103 19 , , , A34005 3103 20 which which WDT A34005 3103 21 is be VBZ A34005 3103 22 desired desire VBN A34005 3103 23 to to TO A34005 3103 24 be be VB A34005 3103 25 drawn draw VBN A34005 3103 26 , , , A34005 3103 27 and and CC A34005 3103 28 at at IN A34005 3103 29 the the DT A34005 3103 30 further further JJ A34005 3103 31 side side NN A34005 3103 32 of of IN A34005 3103 33 the the DT A34005 3103 34 Room Room NNP A34005 3103 35 fasten fasten VBP A34005 3103 36 that that IN A34005 3103 37 thread thread NN A34005 3103 38 with with IN A34005 3103 39 a a DT A34005 3103 40 small small JJ A34005 3103 41 nail nail NN A34005 3103 42 as as IN A34005 3103 43 it -PRON- PRP A34005 3103 44 was be VBD A34005 3103 45 in in IN A34005 3103 46 drawing draw VBG A34005 3103 47 the the DT A34005 3103 48 reflected reflected JJ A34005 3103 49 hour hour NN A34005 3103 50 - - HYPH A34005 3103 51 lines line NNS A34005 3103 52 : : : A34005 3103 53 Then then RB A34005 3103 54 take take VB A34005 3103 55 the the DT A34005 3103 56 thread thread NN A34005 3103 57 whose whose WP$ A34005 3103 58 end end NN A34005 3103 59 is be VBZ A34005 3103 60 fastened fasten VBN A34005 3103 61 in in IN A34005 3103 62 the the DT A34005 3103 63 said say VBN A34005 3103 64 reflect reflect VB A34005 3103 65 vertical vertical JJ A34005 3103 66 point point NN A34005 3103 67 , , , A34005 3103 68 and and CC A34005 3103 69 bring bring VB A34005 3103 70 that that DT A34005 3103 71 thread thread NN A34005 3103 72 so so IN A34005 3103 73 as as IN A34005 3103 74 just just RB A34005 3103 75 to to TO A34005 3103 76 touch touch VB A34005 3103 77 the the DT A34005 3103 78 said say VBN A34005 3103 79 horizontal horizontal JJ A34005 3103 80 thread thread NN A34005 3103 81 , , , A34005 3103 82 and and CC A34005 3103 83 augment augment VBD A34005 3103 84 it -PRON- PRP A34005 3103 85 , , , A34005 3103 86 until until IN A34005 3103 87 the the DT A34005 3103 88 end end NN A34005 3103 89 thereof thereof RB A34005 3103 90 touch touch VBP A34005 3103 91 the the DT A34005 3103 92 wall wall NN A34005 3103 93 or or CC A34005 3103 94 Cieling Cieling NNP A34005 3103 95 , , , A34005 3103 96 and and CC A34005 3103 97 there there EX A34005 3103 98 make make VBP A34005 3103 99 a a DT A34005 3103 100 mark mark NN A34005 3103 101 or or CC A34005 3103 102 point point NN A34005 3103 103 . . . A34005 3104 1 In in IN A34005 3104 2 like like JJ A34005 3104 3 manner manner NN A34005 3104 4 , , , A34005 3104 5 move move VB A34005 3104 6 the the DT A34005 3104 7 said said JJ A34005 3104 8 thread thread NN A34005 3104 9 , , , A34005 3104 10 whose whose WP$ A34005 3104 11 end end NN A34005 3104 12 is be VBZ A34005 3104 13 fastened fasten VBN A34005 3104 14 in in IN A34005 3104 15 the the DT A34005 3104 16 said say VBN A34005 3104 17 vertical vertical JJ A34005 3104 18 point point NN A34005 3104 19 , , , A34005 3104 20 higher high JJR A34005 3104 21 or or CC A34005 3104 22 lower lower RBR A34005 3104 23 at at IN A34005 3104 24 pleasure pleasure NN A34005 3104 25 , , , A34005 3104 26 till till IN A34005 3104 27 as as RB A34005 3104 28 formerly formerly RB A34005 3104 29 it -PRON- PRP A34005 3104 30 touch touch VB A34005 3104 31 the the DT A34005 3104 32 said say VBN A34005 3104 33 horizontal horizontal JJ A34005 3104 34 thread thread NN A34005 3104 35 , , , A34005 3104 36 and and CC A34005 3104 37 mark mark VB A34005 3104 38 again again RB A34005 3104 39 whereabouts whereabout VBZ A34005 3104 40 the the DT A34005 3104 41 end end NN A34005 3104 42 thereof thereof RB A34005 3104 43 toucheth toucheth NNP A34005 3104 44 the the DT A34005 3104 45 said say VBD A34005 3104 46 Wall Wall NNP A34005 3104 47 or or CC A34005 3104 48 Cieling Cieling NNP A34005 3104 49 : : : A34005 3104 50 Now now RB A34005 3104 51 by by IN A34005 3104 52 help help NN A34005 3104 53 of of IN A34005 3104 54 these these DT A34005 3104 55 two two CD A34005 3104 56 points point NNS A34005 3104 57 found find VBN A34005 3104 58 in in IN A34005 3104 59 the the DT A34005 3104 60 reflected reflect VBN A34005 3104 61 Azimuth Azimuth NNP A34005 3104 62 line line NN A34005 3104 63 , , , A34005 3104 64 the the DT A34005 3104 65 whole whole JJ A34005 3104 66 Azimuth Azimuth NNP A34005 3104 67 line line NN A34005 3104 68 may may MD A34005 3104 69 be be VB A34005 3104 70 drawn draw VBN A34005 3104 71 ; ; : A34005 3104 72 for for IN A34005 3104 73 if if IN A34005 3104 74 ( ( -LRB- A34005 3104 75 as as IN A34005 3104 76 before before RB A34005 3104 77 in in IN A34005 3104 78 drawing draw VBG A34005 3104 79 the the DT A34005 3104 80 Hour Hour NNP A34005 3104 81 - - HYPH A34005 3104 82 lines line NNS A34005 3104 83 ) ) -RRB- A34005 3104 84 a a DT A34005 3104 85 thread thread NN A34005 3104 86 be be VB A34005 3104 87 so so RB A34005 3104 88 scituated scituate VBN A34005 3104 89 , , , A34005 3104 90 that that IN A34005 3104 91 it -PRON- PRP A34005 3104 92 may may MD A34005 3104 93 interpose interpose VB A34005 3104 94 between between IN A34005 3104 95 the the DT A34005 3104 96 eye eye NN A34005 3104 97 and and CC A34005 3104 98 the the DT A34005 3104 99 said say VBD A34005 3104 100 two two CD A34005 3104 101 points point NNS A34005 3104 102 , , , A34005 3104 103 you -PRON- PRP A34005 3104 104 may may MD A34005 3104 105 make make VB A34005 3104 106 many many JJ A34005 3104 107 points point NNS A34005 3104 108 at at IN A34005 3104 109 pleasure pleasure NN A34005 3104 110 , , , A34005 3104 111 to to TO A34005 3104 112 which which WDT A34005 3104 113 the the DT A34005 3104 114 said say VBD A34005 3104 115 thread thread NN A34005 3104 116 so so RB A34005 3104 117 situated situated JJ A34005 3104 118 may may MD A34005 3104 119 also also RB A34005 3104 120 interpose interpose VB A34005 3104 121 , , , A34005 3104 122 which which WDT A34005 3104 123 may may MD A34005 3104 124 be be VB A34005 3104 125 made make VBN A34005 3104 126 at at IN A34005 3104 127 every every DT A34005 3104 128 angle angle NN A34005 3104 129 or or CC A34005 3104 130 bending bending NN A34005 3104 131 of of IN A34005 3104 132 the the DT A34005 3104 133 wall wall NN A34005 3104 134 or or CC A34005 3104 135 Cieling Cieling NNP A34005 3104 136 ( ( -LRB- A34005 3104 137 as as IN A34005 3104 138 before before RB A34005 3104 139 ) ) -RRB- A34005 3104 140 whereby whereby WRB A34005 3104 141 the the DT A34005 3104 142 reflected reflect VBN A34005 3104 143 Azimuth Azimuth NNP A34005 3104 144 - - HYPH A34005 3104 145 line line NN A34005 3104 146 desired desire VBN A34005 3104 147 may may MD A34005 3104 148 be be VB A34005 3104 149 drawn draw VBN A34005 3104 150 . . . A34005 3105 1 In in IN A34005 3105 2 like like JJ A34005 3105 3 manner manner NN A34005 3105 4 may may MD A34005 3105 5 the the DT A34005 3105 6 other other JJ A34005 3105 7 reflected reflect VBN A34005 3105 8 Azimuth Azimuth NNP A34005 3105 9 lines line NNS A34005 3105 10 be be VB A34005 3105 11 drawn draw VBN A34005 3105 12 . . . A34005 3106 1 Also also RB A34005 3106 2 there there EX A34005 3106 3 may may MD A34005 3106 4 be be VB A34005 3106 5 lines line NNS A34005 3106 6 drawn draw VBN A34005 3106 7 parallel parallel RB A34005 3106 8 to to IN A34005 3106 9 the the DT A34005 3106 10 Horizon Horizon NNP A34005 3106 11 round round NN A34005 3106 12 about about IN A34005 3106 13 the the DT A34005 3106 14 room room NN A34005 3106 15 , , , A34005 3106 16 by by IN A34005 3106 17 help help NN A34005 3106 18 of of IN A34005 3106 19 the the DT A34005 3106 20 thread thread NN A34005 3106 21 fixed fix VBN A34005 3106 22 in in IN A34005 3106 23 the the DT A34005 3106 24 center center NN A34005 3106 25 of of IN A34005 3106 26 the the DT A34005 3106 27 Glasse Glasse NNP A34005 3106 28 , , , A34005 3106 29 and and CC A34005 3106 30 a a DT A34005 3106 31 Quadrant Quadrant NNP A34005 3106 32 for for IN A34005 3106 33 the the DT A34005 3106 34 elevation elevation NN A34005 3106 35 thereof thereof RB A34005 3106 36 , , , A34005 3106 37 which which WDT A34005 3106 38 will will MD A34005 3106 39 shew shew VB A34005 3106 40 the the DT A34005 3106 41 Suns Suns NNPS A34005 3106 42 altitude altitude NN A34005 3106 43 at at IN A34005 3106 44 any any DT A34005 3106 45 appearance appearance NN A34005 3106 46 thereof thereof RB A34005 3106 47 . . . A34005 3107 1 Thus thus RB A34005 3107 2 have have VBP A34005 3107 3 I -PRON- PRP A34005 3107 4 shewed shew VBN A34005 3107 5 the the DT A34005 3107 6 drawing drawing NN A34005 3107 7 of of IN A34005 3107 8 a a DT A34005 3107 9 Reflected Reflected NNP A34005 3107 10 Dial Dial NNP A34005 3107 11 from from IN A34005 3107 12 an an DT A34005 3107 13 Horizontal Horizontal NNP A34005 3107 14 Glasse Glasse NNP A34005 3107 15 , , , A34005 3107 16 with with IN A34005 3107 17 all all PDT A34005 3107 18 the the DT A34005 3107 19 usual usual JJ A34005 3107 20 furniture furniture NN A34005 3107 21 thereon thereon NN A34005 3107 22 , , , A34005 3107 23 though though IN A34005 3107 24 the the DT A34005 3107 25 wall wall NN A34005 3107 26 or or CC A34005 3107 27 place place NN A34005 3107 28 on on IN A34005 3107 29 which which WDT A34005 3107 30 it -PRON- PRP A34005 3107 31 is be VBZ A34005 3107 32 to to TO A34005 3107 33 be be VB A34005 3107 34 drawn draw VBN A34005 3107 35 be be VB A34005 3107 36 never never RB A34005 3107 37 so so RB A34005 3107 38 gibous gibous JJ A34005 3107 39 or or CC A34005 3107 40 irregular irregular JJ A34005 3107 41 , , , A34005 3107 42 or or CC A34005 3107 43 in in IN A34005 3107 44 what what WDT A34005 3107 45 shape shape NN A34005 3107 46 soever soever NN A34005 3107 47 . . . A34005 3108 1 Now now RB A34005 3108 2 the the DT A34005 3108 3 Glasse Glasse NNP A34005 3108 4 may may MD A34005 3108 5 be be VB A34005 3108 6 exactly exactly RB A34005 3108 7 situated situate VBN A34005 3108 8 Horizontal Horizontal NNP A34005 3108 9 , , , A34005 3108 10 if if IN A34005 3108 11 you -PRON- PRP A34005 3108 12 draw draw VBP A34005 3108 13 a a DT A34005 3108 14 reflected reflect VBN A34005 3108 15 parallel parallel NN A34005 3108 16 for for IN A34005 3108 17 the the DT A34005 3108 18 present present JJ A34005 3108 19 day day NN A34005 3108 20 , , , A34005 3108 21 and and CC A34005 3108 22 know know VBP A34005 3108 23 also also RB A34005 3108 24 the the DT A34005 3108 25 true true JJ A34005 3108 26 hour hour NN A34005 3108 27 , , , A34005 3108 28 and and CC A34005 3108 29 so so RB A34005 3108 30 place place VB A34005 3108 31 the the DT A34005 3108 32 Glasse Glasse NNP A34005 3108 33 , , , A34005 3108 34 that that IN A34005 3108 35 the the DT A34005 3108 36 spot spot NN A34005 3108 37 or or CC A34005 3108 38 reflex reflex NN A34005 3108 39 of of IN A34005 3108 40 the the DT A34005 3108 41 Sun Sun NNP A34005 3108 42 may may MD A34005 3108 43 fall fall VB A34005 3108 44 thereon thereon NN A34005 3108 45 on on IN A34005 3108 46 the the DT A34005 3108 47 Cieling cieling NN A34005 3108 48 , , , A34005 3108 49 for for IN A34005 3108 50 there there EX A34005 3108 51 is be VBZ A34005 3108 52 no no DT A34005 3108 53 way way NN A34005 3108 54 by by IN A34005 3108 55 an an DT A34005 3108 56 Instrument Instrument NNP A34005 3108 57 to to TO A34005 3108 58 do do VB A34005 3108 59 it -PRON- PRP A34005 3108 60 , , , A34005 3108 61 the the DT A34005 3108 62 Glasse Glasse NNP A34005 3108 63 is be VBZ A34005 3108 64 so so RB A34005 3108 65 small small JJ A34005 3108 66 . . . A34005 3109 1 Of of IN A34005 3109 2 Reclining recline VBG A34005 3109 3 Reflecting reflect VBG A34005 3109 4 Glasses glass NNS A34005 3109 5 . . . A34005 3110 1 Reflected reflect VBD A34005 3110 2 Dialling dialling NN A34005 3110 3 from from IN A34005 3110 4 any any DT A34005 3110 5 Reclining Reclining NNP A34005 3110 6 Glasse Glasse NNP A34005 3110 7 . . . A34005 3111 1 I -PRON- PRP A34005 3111 2 shall shall MD A34005 3111 3 now now RB A34005 3111 4 shew shew VB A34005 3111 5 how how WRB A34005 3111 6 to to TO A34005 3111 7 draw draw VB A34005 3111 8 any any DT A34005 3111 9 Reflected Reflected NNP A34005 3111 10 Dial Dial NNP A34005 3111 11 , , , A34005 3111 12 with with IN A34005 3111 13 all all PDT A34005 3111 14 the the DT A34005 3111 15 Furniture furniture NN A34005 3111 16 ( ( -LRB- A34005 3111 17 that that IN A34005 3111 18 possible possible JJ A34005 3111 19 may may MD A34005 3111 20 be be VB A34005 3111 21 ) ) -RRB- A34005 3111 22 the the DT A34005 3111 23 Glass Glass NNP A34005 3111 24 being be VBG A34005 3111 25 set set VBN A34005 3111 26 at at IN A34005 3111 27 any any DT A34005 3111 28 possible possible JJ A34005 3111 29 Reclination reclination NN A34005 3111 30 . . . A34005 3112 1 In in IN A34005 3112 2 the the DT A34005 3112 3 drawing drawing NN A34005 3112 4 of of IN A34005 3112 5 which which WDT A34005 3112 6 there there EX A34005 3112 7 is be VBZ A34005 3112 8 principally principally RB A34005 3112 9 to to TO A34005 3112 10 be be VB A34005 3112 11 considered consider VBN A34005 3112 12 , , , A34005 3112 13 1 1 CD A34005 3112 14 The the DT A34005 3112 15 Reflected Reflected NNP A34005 3112 16 Horizon Horizon NNP A34005 3112 17 . . . A34005 3113 1 2 2 CD A34005 3113 2 The the DT A34005 3113 3 Reflected Reflected NNP A34005 3113 4 Meridian Meridian NNP A34005 3113 5 . . . A34005 3114 1 Note note VB A34005 3114 2 , , , A34005 3114 3 the the DT A34005 3114 4 Horizon Horizon NNP A34005 3114 5 & & CC A34005 3114 6 Meridian Meridian NNP A34005 3114 7 are be VBP A34005 3114 8 two two CD A34005 3114 9 great great JJ A34005 3114 10 circles circle NNS A34005 3114 11 . . . A34005 3115 1 1 1 CD A34005 3115 2 To to TO A34005 3115 3 draw draw VB A34005 3115 4 the the DT A34005 3115 5 Reflected Reflected NNP A34005 3115 6 Horizon Horizon NNP A34005 3115 7 according accord VBG A34005 3115 8 to to IN A34005 3115 9 the the DT A34005 3115 10 situation situation NN A34005 3115 11 of of IN A34005 3115 12 any any DT A34005 3115 13 reclining recline VBG A34005 3115 14 Glasse Glasse NNP A34005 3115 15 whatsoever whatsoever RB A34005 3115 16 . . . A34005 3116 1 FIrst first RB A34005 3116 2 , , , A34005 3116 3 let let VB A34005 3116 4 two two CD A34005 3116 5 pieces piece NNS A34005 3116 6 of of IN A34005 3116 7 nealed neale VBN A34005 3116 8 wire wire NN A34005 3116 9 be be VB A34005 3116 10 fastened fasten VBN A34005 3116 11 on on IN A34005 3116 12 the the DT A34005 3116 13 window window NN A34005 3116 14 on on IN A34005 3116 15 each each DT A34005 3116 16 side side NN A34005 3116 17 of of IN A34005 3116 18 the the DT A34005 3116 19 said say VBD A34005 3116 20 Glasse Glasse NNP A34005 3116 21 , , , A34005 3116 22 the the DT A34005 3116 23 ends end NNS A34005 3116 24 thereof thereof RB A34005 3116 25 being be VBG A34005 3116 26 without without IN A34005 3116 27 the the DT A34005 3116 28 room room NN A34005 3116 29 in in IN A34005 3116 30 the the DT A34005 3116 31 air air NN A34005 3116 32 , , , A34005 3116 33 at at IN A34005 3116 34 whose whose WP$ A34005 3116 35 ends end NNS A34005 3116 36 let let VBD A34005 3116 37 there there EX A34005 3116 38 be be VB A34005 3116 39 fastned fastne VBN A34005 3116 40 a a DT A34005 3116 41 thread thread NN A34005 3116 42 which which WDT A34005 3116 43 may may MD A34005 3116 44 be be VB A34005 3116 45 pulled pull VBN A34005 3116 46 straight straight RB A34005 3116 47 at at IN A34005 3116 48 pleasure pleasure NN A34005 3116 49 , , , A34005 3116 50 by by IN A34005 3116 51 bending bend VBG A34005 3116 52 of of IN A34005 3116 53 the the DT A34005 3116 54 wire wire NN A34005 3116 55 , , , A34005 3116 56 then then RB A34005 3116 57 bend bend VB A34005 3116 58 those those DT A34005 3116 59 wires wire NNS A34005 3116 60 upward upward RB A34005 3116 61 or or CC A34005 3116 62 downward downward RB A34005 3116 63 , , , A34005 3116 64 until until IN A34005 3116 65 the the DT A34005 3116 66 thread thread NN A34005 3116 67 fastened fasten VBN A34005 3116 68 at at IN A34005 3116 69 the the DT A34005 3116 70 end end NN A34005 3116 71 of of IN A34005 3116 72 each each DT A34005 3116 73 wire wire NN A34005 3116 74 be be VB A34005 3116 75 exactly exactly RB A34005 3116 76 horizontal horizontal JJ A34005 3116 77 with with IN A34005 3116 78 the the DT A34005 3116 79 center center NN A34005 3116 80 of of IN A34005 3116 81 the the DT A34005 3116 82 Glasse Glasse NNP A34005 3116 83 , , , A34005 3116 84 which which WDT A34005 3116 85 may may MD A34005 3116 86 be be VB A34005 3116 87 tried try VBN A34005 3116 88 by by IN A34005 3116 89 a a DT A34005 3116 90 quadrant quadrant NN A34005 3116 91 : : : A34005 3116 92 Then then RB A34005 3116 93 I -PRON- PRP A34005 3116 94 tie tie VBP A34005 3116 95 a a DT A34005 3116 96 string string NN A34005 3116 97 or or CC A34005 3116 98 thread thread NN A34005 3116 99 cross cross VB A34005 3116 100 the the DT A34005 3116 101 room room NN A34005 3116 102 , , , A34005 3116 103 in in IN A34005 3116 104 such such JJ A34005 3116 105 sort sort NN A34005 3116 106 that that WDT A34005 3116 107 I -PRON- PRP A34005 3116 108 may may MD A34005 3116 109 from from IN A34005 3116 110 most most JJS A34005 3116 111 part part NN A34005 3116 112 of of IN A34005 3116 113 the the DT A34005 3116 114 thread thread NN A34005 3116 115 see see VBP A34005 3116 116 the the DT A34005 3116 117 reflecting reflect VBG A34005 3116 118 glass glass NN A34005 3116 119 , , , A34005 3116 120 and and CC A34005 3116 121 therein therein RB A34005 3116 122 the the DT A34005 3116 123 said say VBN A34005 3116 124 horizontal horizontal JJ A34005 3116 125 thread thread NN A34005 3116 126 without without IN A34005 3116 127 the the DT A34005 3116 128 room room NN A34005 3116 129 : : : A34005 3116 130 Then then RB A34005 3116 131 on on IN A34005 3116 132 the the DT A34005 3116 133 said say VBN A34005 3116 134 thread thread NN A34005 3116 135 cross cross VB A34005 3116 136 the the DT A34005 3116 137 room room NN A34005 3116 138 , , , A34005 3116 139 I -PRON- PRP A34005 3116 140 tie tie VBP A34005 3116 141 a a DT A34005 3116 142 slipping slip VBG A34005 3116 143 knot knot NN A34005 3116 144 to to TO A34005 3116 145 move move VB A34005 3116 146 to to IN A34005 3116 147 and and CC A34005 3116 148 fro fro JJ A34005 3116 149 at at IN A34005 3116 150 pleasure pleasure NN A34005 3116 151 , , , A34005 3116 152 which which WDT A34005 3116 153 knot knot NN A34005 3116 154 I -PRON- PRP A34005 3116 155 move move VBP A34005 3116 156 to to IN A34005 3116 157 and and CC A34005 3116 158 fro fro NNP A34005 3116 159 on on IN A34005 3116 160 the the DT A34005 3116 161 said say VBN A34005 3116 162 thread thread NN A34005 3116 163 , , , A34005 3116 164 until until IN A34005 3116 165 by by IN A34005 3116 166 looking look VBG A34005 3116 167 in in IN A34005 3116 168 the the DT A34005 3116 169 said say VBN A34005 3116 170 Glasse Glasse NNP A34005 3116 171 I -PRON- PRP A34005 3116 172 finde finde VBP A34005 3116 173 from from IN A34005 3116 174 my -PRON- PRP$ A34005 3116 175 eye eye NN A34005 3116 176 the the DT A34005 3116 177 said say VBN A34005 3116 178 knot knot NN A34005 3116 179 and and CC A34005 3116 180 part part NN A34005 3116 181 of of IN A34005 3116 182 the the DT A34005 3116 183 horizontal horizontal JJ A34005 3116 184 thread thread NN A34005 3116 185 without without IN A34005 3116 186 , , , A34005 3116 187 all all DT A34005 3116 188 as as IN A34005 3116 189 it -PRON- PRP A34005 3116 190 were be VBD A34005 3116 191 in in IN A34005 3116 192 a a DT A34005 3116 193 right right JJ A34005 3116 194 line line NN A34005 3116 195 , , , A34005 3116 196 the the DT A34005 3116 197 one one NN A34005 3116 198 interposing interpose VBG A34005 3116 199 the the DT A34005 3116 200 sight sight NN A34005 3116 201 of of IN A34005 3116 202 the the DT A34005 3116 203 other other JJ A34005 3116 204 . . . A34005 3117 1 Then then RB A34005 3117 2 being be VBG A34005 3117 3 careful careful JJ A34005 3117 4 to to TO A34005 3117 5 keep keep VB A34005 3117 6 the the DT A34005 3117 7 knot knot NN A34005 3117 8 in in IN A34005 3117 9 that that DT A34005 3117 10 position position NN A34005 3117 11 , , , A34005 3117 12 fasten fasten RB A34005 3117 13 one one CD A34005 3117 14 end end NN A34005 3117 15 of of IN A34005 3117 16 a a DT A34005 3117 17 thread thread NN A34005 3117 18 in in IN A34005 3117 19 the the DT A34005 3117 20 place place NN A34005 3117 21 of of IN A34005 3117 22 the the DT A34005 3117 23 center center NN A34005 3117 24 of of IN A34005 3117 25 the the DT A34005 3117 26 reclining recline VBG A34005 3117 27 reflecting reflect VBG A34005 3117 28 glasse glasse NNP A34005 3117 29 , , , A34005 3117 30 and and CC A34005 3117 31 bring bring VB A34005 3117 32 that that DT A34005 3117 33 thread thread NN A34005 3117 34 so so RB A34005 3117 35 , , , A34005 3117 36 as as IN A34005 3117 37 just just RB A34005 3117 38 to to TO A34005 3117 39 touch touch VB A34005 3117 40 the the DT A34005 3117 41 aforesaid aforesaid NNP A34005 3117 42 knot knot NNP A34005 3117 43 , , , A34005 3117 44 augmenting augment VBG A34005 3117 45 that that DT A34005 3117 46 thread thread NN A34005 3117 47 , , , A34005 3117 48 until until IN A34005 3117 49 the the DT A34005 3117 50 end end NN A34005 3117 51 thereof thereof RB A34005 3117 52 touch touch VBP A34005 3117 53 the the DT A34005 3117 54 wall wall NN A34005 3117 55 or or CC A34005 3117 56 Cieling Cieling NNP A34005 3117 57 , , , A34005 3117 58 and and CC A34005 3117 59 there there EX A34005 3117 60 make make VBP A34005 3117 61 a a DT A34005 3117 62 mark mark NN A34005 3117 63 or or CC A34005 3117 64 point point NN A34005 3117 65 , , , A34005 3117 66 so so RB A34005 3117 67 is be VBZ A34005 3117 68 there there EX A34005 3117 69 one one CD A34005 3117 70 point point NN A34005 3117 71 found find VBN A34005 3117 72 on on IN A34005 3117 73 the the DT A34005 3117 74 Wall Wall NNP A34005 3117 75 or or CC A34005 3117 76 Cieling Cieling NNP A34005 3117 77 in in IN A34005 3117 78 the the DT A34005 3117 79 Reflected Reflected NNP A34005 3117 80 Horizon Horizon NNP A34005 3117 81 of of IN A34005 3117 82 the the DT A34005 3117 83 World World NNP A34005 3117 84 . . . A34005 3118 1 Then then RB A34005 3118 2 I -PRON- PRP A34005 3118 3 begin begin VBP A34005 3118 4 again again RB A34005 3118 5 , , , A34005 3118 6 and and CC A34005 3118 7 remove remove VB A34005 3118 8 the the DT A34005 3118 9 position position NN A34005 3118 10 of of IN A34005 3118 11 that that DT A34005 3118 12 thread thread NN A34005 3118 13 ( ( -LRB- A34005 3118 14 which which WDT A34005 3118 15 went go VBD A34005 3118 16 overthwart overthwart JJ A34005 3118 17 the the DT A34005 3118 18 Room Room NNP A34005 3118 19 ) ) -RRB- A34005 3118 20 either either CC A34005 3118 21 higher higher RBR A34005 3118 22 or or CC A34005 3118 23 lower lower RBR A34005 3118 24 at at IN A34005 3118 25 pleasure pleasure NN A34005 3118 26 , , , A34005 3118 27 still still RB A34005 3118 28 having have VBG A34005 3118 29 regard regard NN A34005 3118 30 that that WDT A34005 3118 31 I -PRON- PRP A34005 3118 32 may may MD A34005 3118 33 from from IN A34005 3118 34 the the DT A34005 3118 35 most most JJS A34005 3118 36 part part NN A34005 3118 37 of of IN A34005 3118 38 the the DT A34005 3118 39 said say VBN A34005 3118 40 thread thread NN A34005 3118 41 see see VB A34005 3118 42 the the DT A34005 3118 43 Reflecting Reflecting NNP A34005 3118 44 Glasse Glasse NNP A34005 3118 45 , , , A34005 3118 46 and and CC A34005 3118 47 therein therein RB A34005 3118 48 the the DT A34005 3118 49 same same JJ A34005 3118 50 horizontal horizontal JJ A34005 3118 51 thread thread NN A34005 3118 52 without without IN A34005 3118 53 the the DT A34005 3118 54 room room NN A34005 3118 55 . . . A34005 3119 1 Then then RB A34005 3119 2 , , , A34005 3119 3 as as IN A34005 3119 4 before before RB A34005 3119 5 , , , A34005 3119 6 I -PRON- PRP A34005 3119 7 move move VBP A34005 3119 8 the the DT A34005 3119 9 said said JJ A34005 3119 10 knot knot NN A34005 3119 11 on on IN A34005 3119 12 the the DT A34005 3119 13 said say VBN A34005 3119 14 thread thread NN A34005 3119 15 to to IN A34005 3119 16 & & CC A34005 3119 17 fro fro NNP A34005 3119 18 , , , A34005 3119 19 until until IN A34005 3119 20 ( ( -LRB- A34005 3119 21 as as IN A34005 3119 22 before before RB A34005 3119 23 ) ) -RRB- A34005 3119 24 by by IN A34005 3119 25 looking look VBG A34005 3119 26 in in IN A34005 3119 27 the the DT A34005 3119 28 said say VBN A34005 3119 29 Glasse Glasse NNP A34005 3119 30 I -PRON- PRP A34005 3119 31 find find VBP A34005 3119 32 from from IN A34005 3119 33 my -PRON- PRP$ A34005 3119 34 eye eye NN A34005 3119 35 the the DT A34005 3119 36 said say VBN A34005 3119 37 knot knot NN A34005 3119 38 , , , A34005 3119 39 and and CC A34005 3119 40 part part NN A34005 3119 41 of of IN A34005 3119 42 the the DT A34005 3119 43 Horizontal horizontal JJ A34005 3119 44 thread thread NN A34005 3119 45 both both CC A34005 3119 46 in in IN A34005 3119 47 one one CD A34005 3119 48 right right JJ A34005 3119 49 line line NN A34005 3119 50 , , , A34005 3119 51 the the DT A34005 3119 52 one one NN A34005 3119 53 interposing interpose VBG A34005 3119 54 the the DT A34005 3119 55 sight sight NN A34005 3119 56 of of IN A34005 3119 57 the the DT A34005 3119 58 other other JJ A34005 3119 59 ; ; : A34005 3119 60 and and CC A34005 3119 61 by by IN A34005 3119 62 the the DT A34005 3119 63 said say VBN A34005 3119 64 knot knot NN A34005 3119 65 I -PRON- PRP A34005 3119 66 bring bring VBP A34005 3119 67 that that DT A34005 3119 68 thread thread NN A34005 3119 69 , , , A34005 3119 70 whose whose WP$ A34005 3119 71 end end NN A34005 3119 72 is be VBZ A34005 3119 73 fastened fasten VBN A34005 3119 74 in in IN A34005 3119 75 the the DT A34005 3119 76 center center NN A34005 3119 77 of of IN A34005 3119 78 the the DT A34005 3119 79 said said NNP A34005 3119 80 glasse glasse NNP A34005 3119 81 , , , A34005 3119 82 and and CC A34005 3119 83 keeping keep VBG A34005 3119 84 it -PRON- PRP A34005 3119 85 just just RB A34005 3119 86 to to TO A34005 3119 87 touch touch VB A34005 3119 88 the the DT A34005 3119 89 said said JJ A34005 3119 90 knot knot NN A34005 3119 91 , , , A34005 3119 92 I -PRON- PRP A34005 3119 93 continue continue VBP A34005 3119 94 it -PRON- PRP A34005 3119 95 , , , A34005 3119 96 until until IN A34005 3119 97 the the DT A34005 3119 98 end end NN A34005 3119 99 thereof thereof RB A34005 3119 100 touch touch NN A34005 3119 101 the the DT A34005 3119 102 Wall Wall NNP A34005 3119 103 or or CC A34005 3119 104 Cieling Cieling NNP A34005 3119 105 , , , A34005 3119 106 as as IN A34005 3119 107 before before RB A34005 3119 108 , , , A34005 3119 109 and and CC A34005 3119 110 there there RB A34005 3119 111 I -PRON- PRP A34005 3119 112 make make VBP A34005 3119 113 another another DT A34005 3119 114 mark mark NN A34005 3119 115 or or CC A34005 3119 116 point point NN A34005 3119 117 ; ; : A34005 3119 118 so so CC A34005 3119 119 is be VBZ A34005 3119 120 there there EX A34005 3119 121 two two CD A34005 3119 122 points point NNS A34005 3119 123 found find VBN A34005 3119 124 in in IN A34005 3119 125 the the DT A34005 3119 126 said say VBD A34005 3119 127 reflected reflect VBD A34005 3119 128 Horizon Horizon NNP A34005 3119 129 on on IN A34005 3119 130 the the DT A34005 3119 131 wall wall NN A34005 3119 132 or or CC A34005 3119 133 Cieling Cieling NNP A34005 3119 134 . . . A34005 3120 1 By by IN A34005 3120 2 which which WDT A34005 3120 3 said say VBD A34005 3120 4 two two CD A34005 3120 5 points point NNS A34005 3120 6 , , , A34005 3120 7 if if IN A34005 3120 8 a a DT A34005 3120 9 thread thread NN A34005 3120 10 ( ( -LRB- A34005 3120 11 as as IN A34005 3120 12 before before IN A34005 3120 13 ) ) -RRB- A34005 3120 14 be be VB A34005 3120 15 so so RB A34005 3120 16 scituated scituate VBN A34005 3120 17 , , , A34005 3120 18 that that IN A34005 3120 19 it -PRON- PRP A34005 3120 20 may may MD A34005 3120 21 interpose interpose VB A34005 3120 22 between between IN A34005 3120 23 the the DT A34005 3120 24 eye eye NN A34005 3120 25 and and CC A34005 3120 26 the the DT A34005 3120 27 said say VBD A34005 3120 28 two two CD A34005 3120 29 points point NNS A34005 3120 30 , , , A34005 3120 31 there there EX A34005 3120 32 may may MD A34005 3120 33 be be VB A34005 3120 34 many many JJ A34005 3120 35 points point NNS A34005 3120 36 made make VBN A34005 3120 37 to to TO A34005 3120 38 be be VB A34005 3120 39 in in IN A34005 3120 40 the the DT A34005 3120 41 same same JJ A34005 3120 42 interposition interposition NN A34005 3120 43 of of IN A34005 3120 44 the the DT A34005 3120 45 thread thread NN A34005 3120 46 , , , A34005 3120 47 which which WDT A34005 3120 48 ( ( -LRB- A34005 3120 49 as as IN A34005 3120 50 before before RB A34005 3120 51 ) ) -RRB- A34005 3120 52 may may MD A34005 3120 53 be be VB A34005 3120 54 made make VBN A34005 3120 55 at at IN A34005 3120 56 every every DT A34005 3120 57 bending bending NN A34005 3120 58 or or CC A34005 3120 59 angle angle NN A34005 3120 60 of of IN A34005 3120 61 the the DT A34005 3120 62 Wall Wall NNP A34005 3120 63 or or CC A34005 3120 64 Cieling Cieling NNP A34005 3120 65 , , , A34005 3120 66 whereby whereby WRB A34005 3120 67 the the DT A34005 3120 68 reflected reflect VBN A34005 3120 69 Horizon Horizon NNP A34005 3120 70 desired desire VBN A34005 3120 71 may may MD A34005 3120 72 be be VB A34005 3120 73 drawn draw VBN A34005 3120 74 , , , A34005 3120 75 by by IN A34005 3120 76 drawing draw VBG A34005 3120 77 a a DT A34005 3120 78 line line NN A34005 3120 79 from from IN A34005 3120 80 point point NN A34005 3120 81 to to TO A34005 3120 82 point point VB A34005 3120 83 round round RB A34005 3120 84 about about IN A34005 3120 85 the the DT A34005 3120 86 Room Room NNP A34005 3120 87 ; ; : A34005 3120 88 Which which WDT A34005 3120 89 wil wil VBP A34005 3120 90 be be VBP A34005 3120 91 the the DT A34005 3120 92 true true JJ A34005 3120 93 reflected reflect VBN A34005 3120 94 Horizon Horizon NNP A34005 3120 95 according accord VBG A34005 3120 96 to to IN A34005 3120 97 the the DT A34005 3120 98 situation situation NN A34005 3120 99 of of IN A34005 3120 100 the the DT A34005 3120 101 glasse glasse NNP A34005 3120 102 . . . A34005 3121 1 2 2 LS A34005 3121 2 To to TO A34005 3121 3 draw draw VB A34005 3121 4 the the DT A34005 3121 5 Reflected Reflected NNP A34005 3121 6 Meridian Meridian NNP A34005 3121 7 , , , A34005 3121 8 according accord VBG A34005 3121 9 to to IN A34005 3121 10 the the DT A34005 3121 11 situation situation NN A34005 3121 12 of of IN A34005 3121 13 any any DT A34005 3121 14 Reclining Reclining NNP A34005 3121 15 Glasse Glasse NNP A34005 3121 16 whatsoever whatsoever RB A34005 3121 17 . . . A34005 3122 1 FIrst first RB A34005 3122 2 , , , A34005 3122 3 take take VB A34005 3122 4 a a DT A34005 3122 5 lath lath JJ A34005 3122 6 or or CC A34005 3122 7 thin thin JJ A34005 3122 8 piece piece NN A34005 3122 9 of of IN A34005 3122 10 wood wood NN A34005 3122 11 of of IN A34005 3122 12 any any DT A34005 3122 13 convenient convenient JJ A34005 3122 14 length length NN A34005 3122 15 at at IN A34005 3122 16 pleasure pleasure NN A34005 3122 17 , , , A34005 3122 18 as as IN A34005 3122 19 some some DT A34005 3122 20 one one CD A34005 3122 21 and and CC A34005 3122 22 an an DT A34005 3122 23 half half NN A34005 3122 24 , , , A34005 3122 25 or or CC A34005 3122 26 two two CD A34005 3122 27 foot foot NN A34005 3122 28 long long RB A34005 3122 29 , , , A34005 3122 30 and and CC A34005 3122 31 at at IN A34005 3122 32 each each DT A34005 3122 33 end end NN A34005 3122 34 thereof thereof RB A34005 3122 35 make make VBP A34005 3122 36 a a DT A34005 3122 37 hole hole NN A34005 3122 38 , , , A34005 3122 39 the the DT A34005 3122 40 one one NN A34005 3122 41 to to TO A34005 3122 42 hang hang VB A34005 3122 43 a a DT A34005 3122 44 thread thread NN A34005 3122 45 and and CC A34005 3122 46 plummet plummet NN A34005 3122 47 , , , A34005 3122 48 and and CC A34005 3122 49 the the DT A34005 3122 50 other other JJ A34005 3122 51 is be VBZ A34005 3122 52 to to TO A34005 3122 53 put put VB A34005 3122 54 a a DT A34005 3122 55 small small JJ A34005 3122 56 nail nail NN A34005 3122 57 therin therin NN A34005 3122 58 to to TO A34005 3122 59 fasten fasten VB A34005 3122 60 it -PRON- PRP A34005 3122 61 in in IN A34005 3122 62 some some DT A34005 3122 63 part part NN A34005 3122 64 of of IN A34005 3122 65 the the DT A34005 3122 66 window window NN A34005 3122 67 over over IN A34005 3122 68 the the DT A34005 3122 69 center center NN A34005 3122 70 of of IN A34005 3122 71 the the DT A34005 3122 72 Glasse Glasse NNP A34005 3122 73 , , , A34005 3122 74 so so IN A34005 3122 75 that that IN A34005 3122 76 the the DT A34005 3122 77 thread thread NN A34005 3122 78 and and CC A34005 3122 79 plummet plummet NN A34005 3122 80 may may MD A34005 3122 81 hang hang VB A34005 3122 82 without without IN A34005 3122 83 the the DT A34005 3122 84 room room NN A34005 3122 85 : : : A34005 3122 86 then then RB A34005 3122 87 by by IN A34005 3122 88 help help NN A34005 3122 89 of of IN A34005 3122 90 the the DT A34005 3122 91 Suns Suns NNPS A34005 3122 92 Azimuth Azimuth NNP A34005 3122 93 you -PRON- PRP A34005 3122 94 may may MD A34005 3122 95 draw draw VB A34005 3122 96 the the DT A34005 3122 97 meridian meridian JJ A34005 3122 98 line line NN A34005 3122 99 , , , A34005 3122 100 ( ( -LRB- A34005 3122 101 as as IN A34005 3122 102 before before RB A34005 3122 103 ) ) -RRB- A34005 3122 104 as as IN A34005 3122 105 if if IN A34005 3122 106 the the DT A34005 3122 107 Glasse Glasse NNP A34005 3122 108 were be VBD A34005 3122 109 horizontal horizontal JJ A34005 3122 110 , , , A34005 3122 111 and and CC A34005 3122 112 move move VB A34005 3122 113 the the DT A34005 3122 114 lath lath NN A34005 3122 115 with with IN A34005 3122 116 the the DT A34005 3122 117 thread thread NN A34005 3122 118 and and CC A34005 3122 119 plummet plummet VBP A34005 3122 120 at at IN A34005 3122 121 the the DT A34005 3122 122 end end NN A34005 3122 123 of of IN A34005 3122 124 it -PRON- PRP A34005 3122 125 to to IN A34005 3122 126 and and CC A34005 3122 127 fro fro NNP A34005 3122 128 , , , A34005 3122 129 until until IN A34005 3122 130 the the DT A34005 3122 131 thread thread NN A34005 3122 132 and and CC A34005 3122 133 plummet plummet VB A34005 3122 134 be be VBP A34005 3122 135 in in IN A34005 3122 136 the the DT A34005 3122 137 direct direct JJ A34005 3122 138 meridian meridian NN A34005 3122 139 of of IN A34005 3122 140 the the DT A34005 3122 141 world world NN A34005 3122 142 with with IN A34005 3122 143 the the DT A34005 3122 144 center center NN A34005 3122 145 of of IN A34005 3122 146 the the DT A34005 3122 147 Glasse Glasse NNP A34005 3122 148 . . . A34005 3123 1 Then then RB A34005 3123 2 ( ( -LRB- A34005 3123 3 as as IN A34005 3123 4 before before IN A34005 3123 5 ) ) -RRB- A34005 3123 6 tie tie VB A34005 3123 7 a a DT A34005 3123 8 thread thread NN A34005 3123 9 crosse crosse NN A34005 3123 10 the the DT A34005 3123 11 room room NN A34005 3123 12 , , , A34005 3123 13 in in IN A34005 3123 14 such such JJ A34005 3123 15 sort sort NN A34005 3123 16 that that IN A34005 3123 17 from from IN A34005 3123 18 or or CC A34005 3123 19 by by IN A34005 3123 20 some some DT A34005 3123 21 part part NN A34005 3123 22 of of IN A34005 3123 23 the the DT A34005 3123 24 said say VBN A34005 3123 25 thread thread NN A34005 3123 26 both both PDT A34005 3123 27 the the DT A34005 3123 28 Reclining Reclining NNP A34005 3123 29 glasse glasse NN A34005 3123 30 and and CC A34005 3123 31 the the DT A34005 3123 32 thread thread NN A34005 3123 33 to to TO A34005 3123 34 which which WDT A34005 3123 35 the the DT A34005 3123 36 plummet plummet NN A34005 3123 37 is be VBZ A34005 3123 38 fastened fasten VBN A34005 3123 39 may may MD A34005 3123 40 be be VB A34005 3123 41 seen see VBN A34005 3123 42 at at IN A34005 3123 43 one one CD A34005 3123 44 time time NN A34005 3123 45 . . . A34005 3124 1 Then then RB A34005 3124 2 ( ( -LRB- A34005 3124 3 as as IN A34005 3124 4 before before RB A34005 3124 5 ) ) -RRB- A34005 3124 6 on on IN A34005 3124 7 the the DT A34005 3124 8 said say VBN A34005 3124 9 thread thread NN A34005 3124 10 , , , A34005 3124 11 which which WDT A34005 3124 12 crosses cross VBZ A34005 3124 13 the the DT A34005 3124 14 room room NN A34005 3124 15 , , , A34005 3124 16 I -PRON- PRP A34005 3124 17 tie tie VBP A34005 3124 18 a a DT A34005 3124 19 slipping slip VBG A34005 3124 20 knot knot NN A34005 3124 21 , , , A34005 3124 22 which which WDT A34005 3124 23 I -PRON- PRP A34005 3124 24 move move VBP A34005 3124 25 to to IN A34005 3124 26 and and CC A34005 3124 27 fro fro NNP A34005 3124 28 on on IN A34005 3124 29 the the DT A34005 3124 30 said say VBN A34005 3124 31 string string NN A34005 3124 32 , , , A34005 3124 33 until until IN A34005 3124 34 by by IN A34005 3124 35 looking look VBG A34005 3124 36 in in IN A34005 3124 37 the the DT A34005 3124 38 said say VBN A34005 3124 39 Glasse Glasse NNP A34005 3124 40 I -PRON- PRP A34005 3124 41 find find VBP A34005 3124 42 from from IN A34005 3124 43 my -PRON- PRP$ A34005 3124 44 eye eye NN A34005 3124 45 the the DT A34005 3124 46 said say VBN A34005 3124 47 knot knot NNP A34005 3124 48 and and CC A34005 3124 49 some some DT A34005 3124 50 part part NN A34005 3124 51 of of IN A34005 3124 52 the the DT A34005 3124 53 perpendicular perpendicular JJ A34005 3124 54 thread thread NN A34005 3124 55 without without IN A34005 3124 56 , , , A34005 3124 57 all all DT A34005 3124 58 as as IN A34005 3124 59 it -PRON- PRP A34005 3124 60 were be VBD A34005 3124 61 in in IN A34005 3124 62 one one CD A34005 3124 63 right right JJ A34005 3124 64 line line NN A34005 3124 65 , , , A34005 3124 66 the the DT A34005 3124 67 one one CD A34005 3124 68 shadowing shadow VBG A34005 3124 69 or or CC A34005 3124 70 interposing interpose VBG A34005 3124 71 the the DT A34005 3124 72 sight sight NN A34005 3124 73 of of IN A34005 3124 74 the the DT A34005 3124 75 other other JJ A34005 3124 76 , , , A34005 3124 77 being be VBG A34005 3124 78 then then RB A34005 3124 79 very very RB A34005 3124 80 careful careful JJ A34005 3124 81 to to TO A34005 3124 82 keep keep VB A34005 3124 83 that that DT A34005 3124 84 knot knot NN A34005 3124 85 in in IN A34005 3124 86 the the DT A34005 3124 87 same same JJ A34005 3124 88 position position NN A34005 3124 89 , , , A34005 3124 90 then then RB A34005 3124 91 take take VB A34005 3124 92 the the DT A34005 3124 93 thread thread NN A34005 3124 94 ( ( -LRB- A34005 3124 95 whose whose WP$ A34005 3124 96 end end NN A34005 3124 97 whereof whereof WRB A34005 3124 98 being be VBG A34005 3124 99 fastened fasten VBN A34005 3124 100 in in IN A34005 3124 101 the the DT A34005 3124 102 said say VBN A34005 3124 103 center center NN A34005 3124 104 of of IN A34005 3124 105 the the DT A34005 3124 106 Glasse Glasse NNP A34005 3124 107 ) ) -RRB- A34005 3124 108 and and CC A34005 3124 109 bringing bring VBG A34005 3124 110 it -PRON- PRP A34005 3124 111 just just RB A34005 3124 112 to to TO A34005 3124 113 touch touch VB A34005 3124 114 the the DT A34005 3124 115 said said JJ A34005 3124 116 knot knot NN A34005 3124 117 , , , A34005 3124 118 I -PRON- PRP A34005 3124 119 augment augment VBD A34005 3124 120 that that DT A34005 3124 121 thread thread NN A34005 3124 122 , , , A34005 3124 123 until until IN A34005 3124 124 the the DT A34005 3124 125 end end NN A34005 3124 126 thereof thereof RB A34005 3124 127 touch touch NN A34005 3124 128 the the DT A34005 3124 129 said say VBN A34005 3124 130 wall wall NN A34005 3124 131 or or CC A34005 3124 132 Cieling Cieling NNP A34005 3124 133 , , , A34005 3124 134 and and CC A34005 3124 135 the the DT A34005 3124 136 said say VBN A34005 3124 137 thread thread NN A34005 3124 138 also also RB A34005 3124 139 touch touch VBP A34005 3124 140 the the DT A34005 3124 141 knot knot NN A34005 3124 142 , , , A34005 3124 143 as as IN A34005 3124 144 before before RB A34005 3124 145 : : : A34005 3124 146 then then RB A34005 3124 147 in in IN A34005 3124 148 that that DT A34005 3124 149 place place NN A34005 3124 150 where where WRB A34005 3124 151 the the DT A34005 3124 152 end end NN A34005 3124 153 of of IN A34005 3124 154 the the DT A34005 3124 155 said say VBN A34005 3124 156 thread thread NN A34005 3124 157 toucheth toucheth NNP A34005 3124 158 the the DT A34005 3124 159 wall wall NN A34005 3124 160 or or CC A34005 3124 161 Cieling Cieling NNP A34005 3124 162 , , , A34005 3124 163 I -PRON- PRP A34005 3124 164 make make VBP A34005 3124 165 a a DT A34005 3124 166 mark mark NN A34005 3124 167 , , , A34005 3124 168 which which WDT A34005 3124 169 mark mark VBP A34005 3124 170 or or CC A34005 3124 171 point point NN A34005 3124 172 will will MD A34005 3124 173 be be VB A34005 3124 174 directly directly RB A34005 3124 175 in in IN A34005 3124 176 the the DT A34005 3124 177 reflected reflected JJ A34005 3124 178 meridian meridian NN A34005 3124 179 of of IN A34005 3124 180 the the DT A34005 3124 181 world world NN A34005 3124 182 , , , A34005 3124 183 according accord VBG A34005 3124 184 to to IN A34005 3124 185 the the DT A34005 3124 186 situation situation NN A34005 3124 187 of of IN A34005 3124 188 that that DT A34005 3124 189 Glasse Glasse NNP A34005 3124 190 . . . A34005 3125 1 Then then RB A34005 3125 2 again again RB A34005 3125 3 I -PRON- PRP A34005 3125 4 remove remove VBP A34005 3125 5 that that DT A34005 3125 6 thread thread NN A34005 3125 7 ( ( -LRB- A34005 3125 8 overthwart overthwart UH A34005 3125 9 the the DT A34005 3125 10 room room NN A34005 3125 11 ) ) -RRB- A34005 3125 12 on on IN A34005 3125 13 which which WDT A34005 3125 14 the the DT A34005 3125 15 said say VBN A34005 3125 16 knot knot NNP A34005 3125 17 is be VBZ A34005 3125 18 , , , A34005 3125 19 either either CC A34005 3125 20 higher high JJR A34005 3125 21 or or CC A34005 3125 22 lower low JJR A34005 3125 23 then then RB A34005 3125 24 it -PRON- PRP A34005 3125 25 formerly formerly RB A34005 3125 26 was be VBD A34005 3125 27 at at IN A34005 3125 28 pleasure pleasure NN A34005 3125 29 , , , A34005 3125 30 still still RB A34005 3125 31 having have VBG A34005 3125 32 regard regard NN A34005 3125 33 that that IN A34005 3125 34 from from IN A34005 3125 35 some some DT A34005 3125 36 part part NN A34005 3125 37 of of IN A34005 3125 38 the the DT A34005 3125 39 said say VBN A34005 3125 40 thread thread NN A34005 3125 41 within within IN A34005 3125 42 , , , A34005 3125 43 you -PRON- PRP A34005 3125 44 may may MD A34005 3125 45 see see VB A34005 3125 46 both both CC A34005 3125 47 the the DT A34005 3125 48 Reclining Reclining NNP A34005 3125 49 Glasse Glasse NNP A34005 3125 50 , , , A34005 3125 51 and and CC A34005 3125 52 the the DT A34005 3125 53 perpendicular perpendicular JJ A34005 3125 54 thread thread NN A34005 3125 55 without without IN A34005 3125 56 at at IN A34005 3125 57 one one CD A34005 3125 58 time time NN A34005 3125 59 ; ; : A34005 3125 60 and and CC A34005 3125 61 ( ( -LRB- A34005 3125 62 as as IN A34005 3125 63 before before RB A34005 3125 64 ) ) -RRB- A34005 3125 65 move move VB A34005 3125 66 the the DT A34005 3125 67 said say VBD A34005 3125 68 slipping slip VBG A34005 3125 69 knot knot NN A34005 3125 70 on on IN A34005 3125 71 the the DT A34005 3125 72 said say VBN A34005 3125 73 thread thread NN A34005 3125 74 , , , A34005 3125 75 until until IN A34005 3125 76 by by IN A34005 3125 77 looking look VBG A34005 3125 78 in in IN A34005 3125 79 the the DT A34005 3125 80 said say VBD A34005 3125 81 Reclining Reclining NNP A34005 3125 82 Glasse Glasse NNP A34005 3125 83 , , , A34005 3125 84 you -PRON- PRP A34005 3125 85 see see VBP A34005 3125 86 the the DT A34005 3125 87 said said JJ A34005 3125 88 knot knot NN A34005 3125 89 and and CC A34005 3125 90 some some DT A34005 3125 91 part part NN A34005 3125 92 of of IN A34005 3125 93 the the DT A34005 3125 94 perpendicular perpendicular JJ A34005 3125 95 thread thread NN A34005 3125 96 without without IN A34005 3125 97 in in IN A34005 3125 98 one one CD A34005 3125 99 right right JJ A34005 3125 100 line line NN A34005 3125 101 , , , A34005 3125 102 so so IN A34005 3125 103 as as IN A34005 3125 104 the the DT A34005 3125 105 one one NN A34005 3125 106 shadows shadow VBZ A34005 3125 107 or or CC A34005 3125 108 hinders hinder VBZ A34005 3125 109 the the DT A34005 3125 110 sight sight NN A34005 3125 111 of of IN A34005 3125 112 the the DT A34005 3125 113 other other JJ A34005 3125 114 , , , A34005 3125 115 ( ( -LRB- A34005 3125 116 as as IN A34005 3125 117 before before RB A34005 3125 118 ) ) -RRB- A34005 3125 119 which which WDT A34005 3125 120 knot knot NN A34005 3125 121 then then RB A34005 3125 122 must must MD A34005 3125 123 not not RB A34005 3125 124 be be VB A34005 3125 125 removed remove VBN A34005 3125 126 from from IN A34005 3125 127 its -PRON- PRP$ A34005 3125 128 situation situation NN A34005 3125 129 , , , A34005 3125 130 then then RB A34005 3125 131 take take VB A34005 3125 132 that that DT A34005 3125 133 thread thread NN A34005 3125 134 ( ( -LRB- A34005 3125 135 whose whose WP$ A34005 3125 136 end end NN A34005 3125 137 is be VBZ A34005 3125 138 fastened fasten VBN A34005 3125 139 in in IN A34005 3125 140 the the DT A34005 3125 141 Glasse Glasse NNP A34005 3125 142 ) ) -RRB- A34005 3125 143 and and CC A34005 3125 144 bring bring VB A34005 3125 145 it -PRON- PRP A34005 3125 146 to to TO A34005 3125 147 touch touch VB A34005 3125 148 that that DT A34005 3125 149 knot knot NN A34005 3125 150 , , , A34005 3125 151 the the DT A34005 3125 152 end end NN A34005 3125 153 of of IN A34005 3125 154 the the DT A34005 3125 155 said say VBN A34005 3125 156 thread thread NN A34005 3125 157 being be VBG A34005 3125 158 continued continue VBD A34005 3125 159 to to TO A34005 3125 160 touch touch VB A34005 3125 161 the the DT A34005 3125 162 wall wall NN A34005 3125 163 or or CC A34005 3125 164 Cieling cieling NN A34005 3125 165 : : : A34005 3125 166 so so RB A34005 3125 167 is be VBZ A34005 3125 168 that that DT A34005 3125 169 point point NN A34005 3125 170 of of IN A34005 3125 171 touch touch NN A34005 3125 172 on on IN A34005 3125 173 the the DT A34005 3125 174 Cieling cieling NN A34005 3125 175 another another DT A34005 3125 176 point point NN A34005 3125 177 found find VBN A34005 3125 178 in in IN A34005 3125 179 the the DT A34005 3125 180 Reflected Reflected NNP A34005 3125 181 Meridian Meridian NNP A34005 3125 182 of of IN A34005 3125 183 the the DT A34005 3125 184 world world NN A34005 3125 185 . . . A34005 3126 1 So so RB A34005 3126 2 is be VBZ A34005 3126 3 there there EX A34005 3126 4 two two CD A34005 3126 5 points point NNS A34005 3126 6 found find VBN A34005 3126 7 in in IN A34005 3126 8 the the DT A34005 3126 9 said say VBD A34005 3126 10 Reflected Reflected NNP A34005 3126 11 Meridian Meridian NNP A34005 3126 12 , , , A34005 3126 13 on on IN A34005 3126 14 the the DT A34005 3126 15 wall wall NN A34005 3126 16 or or CC A34005 3126 17 Cieling Cieling NNP A34005 3126 18 ; ; : A34005 3126 19 by by IN A34005 3126 20 which which WDT A34005 3126 21 , , , A34005 3126 22 if if IN A34005 3126 23 a a DT A34005 3126 24 thread thread NN A34005 3126 25 ( ( -LRB- A34005 3126 26 as as IN A34005 3126 27 before before IN A34005 3126 28 ) ) -RRB- A34005 3126 29 be be VB A34005 3126 30 so so RB A34005 3126 31 situated situated JJ A34005 3126 32 , , , A34005 3126 33 that that IN A34005 3126 34 it -PRON- PRP A34005 3126 35 may may MD A34005 3126 36 interpose interpose VB A34005 3126 37 between between IN A34005 3126 38 the the DT A34005 3126 39 eye eye NN A34005 3126 40 and and CC A34005 3126 41 the the DT A34005 3126 42 said say VBD A34005 3126 43 two two CD A34005 3126 44 points point NNS A34005 3126 45 , , , A34005 3126 46 many many JJ A34005 3126 47 points point NNS A34005 3126 48 thereby thereby RB A34005 3126 49 in in IN A34005 3126 50 the the DT A34005 3126 51 said say VBD A34005 3126 52 reflected reflect VBN A34005 3126 53 Meridian Meridian NNP A34005 3126 54 may may MD A34005 3126 55 be be VB A34005 3126 56 made make VBN A34005 3126 57 at at IN A34005 3126 58 every every DT A34005 3126 59 bending bending NN A34005 3126 60 or or CC A34005 3126 61 angle angle NN A34005 3126 62 of of IN A34005 3126 63 the the DT A34005 3126 64 wall wall NN A34005 3126 65 or or CC A34005 3126 66 Cieling Cieling NNP A34005 3126 67 , , , A34005 3126 68 whereby whereby WRB A34005 3126 69 the the DT A34005 3126 70 Reflected reflect VBN A34005 3126 71 meridian meridian NN A34005 3126 72 desired desire VBN A34005 3126 73 may may MD A34005 3126 74 be be VB A34005 3126 75 drawn draw VBN A34005 3126 76 , , , A34005 3126 77 by by IN A34005 3126 78 drawing draw VBG A34005 3126 79 a a DT A34005 3126 80 line line NN A34005 3126 81 from from IN A34005 3126 82 point point NN A34005 3126 83 to to TO A34005 3126 84 point point NN A34005 3126 85 obliquely obliquely RB A34005 3126 86 in in IN A34005 3126 87 the the DT A34005 3126 88 Room Room NNP A34005 3126 89 , , , A34005 3126 90 which which WDT A34005 3126 91 will will MD A34005 3126 92 be be VB A34005 3126 93 the the DT A34005 3126 94 true true JJ A34005 3126 95 Reflected Reflected NNP A34005 3126 96 Meridian Meridian NNP A34005 3126 97 of of IN A34005 3126 98 the the DT A34005 3126 99 world world NN A34005 3126 100 , , , A34005 3126 101 according accord VBG A34005 3126 102 to to IN A34005 3126 103 the the DT A34005 3126 104 situation situation NN A34005 3126 105 of of IN A34005 3126 106 that that DT A34005 3126 107 Glasse Glasse NNP A34005 3126 108 . . . A34005 3127 1 Now now RB A34005 3127 2 this this DT A34005 3127 3 Reflected reflect VBD A34005 3127 4 Horizon Horizon NNP A34005 3127 5 and and CC A34005 3127 6 Meridian Meridian NNP A34005 3127 7 being be VBG A34005 3127 8 first first RB A34005 3127 9 drawn draw VBN A34005 3127 10 , , , A34005 3127 11 they -PRON- PRP A34005 3127 12 will will MD A34005 3127 13 be be VB A34005 3127 14 of of IN A34005 3127 15 great great JJ A34005 3127 16 use use NN A34005 3127 17 in in IN A34005 3127 18 drawing draw VBG A34005 3127 19 the the DT A34005 3127 20 Hour Hour NNP A34005 3127 21 - - HYPH A34005 3127 22 lines line NNS A34005 3127 23 , , , A34005 3127 24 together together RB A34005 3127 25 with with IN A34005 3127 26 all all PDT A34005 3127 27 the the DT A34005 3127 28 furniture furniture NN A34005 3127 29 that that WDT A34005 3127 30 possibly possibly RB A34005 3127 31 can can MD A34005 3127 32 be be VB A34005 3127 33 drawn draw VBN A34005 3127 34 on on IN A34005 3127 35 any any DT A34005 3127 36 Diall Diall NNP A34005 3127 37 . . . A34005 3128 1 To to TO A34005 3128 2 draw draw VB A34005 3128 3 the the DT A34005 3128 4 Reflected Reflected NNP A34005 3128 5 Hour Hour NNP A34005 3128 6 - - HYPH A34005 3128 7 lines line NNS A34005 3128 8 to to IN A34005 3128 9 any any DT A34005 3128 10 Reclining Reclining NNP A34005 3128 11 Glasse Glasse NNP A34005 3128 12 on on IN A34005 3128 13 any any DT A34005 3128 14 plane plane NN A34005 3128 15 whatsoever whatsoever RB A34005 3128 16 , , , A34005 3128 17 that that IN A34005 3128 18 the the DT A34005 3128 19 Sun Sun NNP A34005 3128 20 will will MD A34005 3128 21 be be VB A34005 3128 22 reflected reflect VBN A34005 3128 23 on on IN A34005 3128 24 : : : A34005 3128 25 By by IN A34005 3128 26 help help NN A34005 3128 27 of of IN A34005 3128 28 an an DT A34005 3128 29 ordinary ordinary JJ A34005 3128 30 Horizontal Horizontal NNP A34005 3128 31 Dial Dial NNP A34005 3128 32 for for IN A34005 3128 33 that that DT A34005 3128 34 Latitude Latitude NNP A34005 3128 35 . . . A34005 3129 1 FIrst first RB A34005 3129 2 , , , A34005 3129 3 extend extend VB A34005 3129 4 several several JJ A34005 3129 5 threads thread NNS A34005 3129 6 from from IN A34005 3129 7 the the DT A34005 3129 8 center center NN A34005 3129 9 of of IN A34005 3129 10 the the DT A34005 3129 11 Glasse Glasse NNP A34005 3129 12 to to IN A34005 3129 13 the the DT A34005 3129 14 extremity extremity NN A34005 3129 15 of of IN A34005 3129 16 the the DT A34005 3129 17 Reflected Reflected NNP A34005 3129 18 Horizon Horizon NNP A34005 3129 19 in in IN A34005 3129 20 the the DT A34005 3129 21 Room Room NNP A34005 3129 22 ( ( -LRB- A34005 3129 23 which which WDT A34005 3129 24 for for IN A34005 3129 25 more more JJR A34005 3129 26 conveniency conveniency NN A34005 3129 27 and and CC A34005 3129 28 use use NN A34005 3129 29 may may MD A34005 3129 30 be be VB A34005 3129 31 the the DT A34005 3129 32 several several JJ A34005 3129 33 hour hour NN A34005 3129 34 - - HYPH A34005 3129 35 lines line NNS A34005 3129 36 , , , A34005 3129 37 and and CC A34005 3129 38 may may MD A34005 3129 39 also also RB A34005 3129 40 serve serve VB A34005 3129 41 as as IN A34005 3129 42 a a DT A34005 3129 43 bed bed NN A34005 3129 44 to to TO A34005 3129 45 situate situate VB A34005 3129 46 the the DT A34005 3129 47 Horizontal Horizontal NNP A34005 3129 48 Diall Diall NNP A34005 3129 49 on on IN A34005 3129 50 the the DT A34005 3129 51 Reflected Reflected NNP A34005 3129 52 Horizon Horizon NNP A34005 3129 53 ) ) -RRB- A34005 3129 54 having have VBG A34005 3129 55 regard regard NN A34005 3129 56 to to TO A34005 3129 57 situate situate VB A34005 3129 58 the the DT A34005 3129 59 center center NN A34005 3129 60 of of IN A34005 3129 61 the the DT A34005 3129 62 Dial Dial NNP A34005 3129 63 on on IN A34005 3129 64 the the DT A34005 3129 65 center center NN A34005 3129 66 of of IN A34005 3129 67 the the DT A34005 3129 68 Glasse Glasse NNP A34005 3129 69 , , , A34005 3129 70 and and CC A34005 3129 71 the the DT A34005 3129 72 Meridian Meridian NNP A34005 3129 73 of of IN A34005 3129 74 that that DT A34005 3129 75 Dial Dial NNP A34005 3129 76 on on IN A34005 3129 77 the the DT A34005 3129 78 Reflected Reflected NNP A34005 3129 79 Meridian Meridian NNP A34005 3129 80 of of IN A34005 3129 81 the the DT A34005 3129 82 World World NNP A34005 3129 83 : : : A34005 3129 84 Then then RB A34005 3129 85 to to TO A34005 3129 86 finde finde VB A34005 3129 87 the the DT A34005 3129 88 point point NN A34005 3129 89 in in IN A34005 3129 90 the the DT A34005 3129 91 Reflected Reflected NNP A34005 3129 92 reversed reverse VBD A34005 3129 93 Axis Axis NNP A34005 3129 94 on on IN A34005 3129 95 the the DT A34005 3129 96 floor floor NN A34005 3129 97 of of IN A34005 3129 98 the the DT A34005 3129 99 Room Room NNP A34005 3129 100 ; ; : A34005 3129 101 Take take VB A34005 3129 102 a a DT A34005 3129 103 thread thread NN A34005 3129 104 , , , A34005 3129 105 one one CD A34005 3129 106 end end NN A34005 3129 107 thereof thereof WRB A34005 3129 108 being be VBG A34005 3129 109 fastened fasten VBN A34005 3129 110 in in IN A34005 3129 111 the the DT A34005 3129 112 center center NN A34005 3129 113 of of IN A34005 3129 114 the the DT A34005 3129 115 Glasse Glasse NNP A34005 3129 116 , , , A34005 3129 117 and and CC A34005 3129 118 move move VB A34005 3129 119 the the DT A34005 3129 120 other other JJ A34005 3129 121 end end NN A34005 3129 122 thereof thereof RB A34005 3129 123 to to IN A34005 3129 124 and and CC A34005 3129 125 fro fro NNP A34005 3129 126 in in IN A34005 3129 127 the the DT A34005 3129 128 reflected reflected JJ A34005 3129 129 meridian meridian NN A34005 3129 130 under under IN A34005 3129 131 the the DT A34005 3129 132 Reflected Reflected NNP A34005 3129 133 Horizon Horizon NNP A34005 3129 134 , , , A34005 3129 135 until until IN A34005 3129 136 by by IN A34005 3129 137 help help NN A34005 3129 138 of of IN A34005 3129 139 a a DT A34005 3129 140 Quadrant Quadrant NNP A34005 3129 141 the the DT A34005 3129 142 said say VBN A34005 3129 143 thread thread NN A34005 3129 144 is be VBZ A34005 3129 145 found find VBN A34005 3129 146 to to TO A34005 3129 147 be be VB A34005 3129 148 depressed depress VBN A34005 3129 149 under under IN A34005 3129 150 the the DT A34005 3129 151 reflected reflect VBN A34005 3129 152 Horizon Horizon NNP A34005 3129 153 , , , A34005 3129 154 equal equal JJ A34005 3129 155 to to IN A34005 3129 156 the the DT A34005 3129 157 latitude latitude NN A34005 3129 158 of of IN A34005 3129 159 the the DT A34005 3129 160 place place NN A34005 3129 161 , , , A34005 3129 162 and and CC A34005 3129 163 where where WRB A34005 3129 164 the the DT A34005 3129 165 end end NN A34005 3129 166 of of IN A34005 3129 167 the the DT A34005 3129 168 said say VBN A34005 3129 169 thread thread NN A34005 3129 170 intersects intersect NNS A34005 3129 171 or or CC A34005 3129 172 meets meet VBZ A34005 3129 173 the the DT A34005 3129 174 Reflected Reflected NNP A34005 3129 175 Meridian Meridian NNP A34005 3129 176 either either CC A34005 3129 177 on on IN A34005 3129 178 the the DT A34005 3129 179 floor floor NN A34005 3129 180 or or CC A34005 3129 181 wall wall NN A34005 3129 182 , , , A34005 3129 183 that that DT A34005 3129 184 point point NN A34005 3129 185 is be VBZ A34005 3129 186 the the DT A34005 3129 187 reflected reflect VBN A34005 3129 188 reversed reverse VBN A34005 3129 189 Axis Axis NNP A34005 3129 190 , , , A34005 3129 191 as as IN A34005 3129 192 was be VBD A34005 3129 193 required require VBN A34005 3129 194 . . . A34005 3130 1 In in IN A34005 3130 2 which which WDT A34005 3130 3 point point NN A34005 3130 4 fasten fasten RB A34005 3130 5 one one CD A34005 3130 6 end end NN A34005 3130 7 of of IN A34005 3130 8 a a DT A34005 3130 9 thread thread NN A34005 3130 10 , , , A34005 3130 11 which which WDT A34005 3130 12 thread thread NN A34005 3130 13 will will MD A34005 3130 14 be be VB A34005 3130 15 of of IN A34005 3130 16 great great JJ A34005 3130 17 use use NN A34005 3130 18 in in IN A34005 3130 19 drawing draw VBG A34005 3130 20 the the DT A34005 3130 21 reflected reflected JJ A34005 3130 22 hour hour NN A34005 3130 23 - - HYPH A34005 3130 24 lines line NNS A34005 3130 25 on on IN A34005 3130 26 any any DT A34005 3130 27 wall wall NN A34005 3130 28 or or CC A34005 3130 29 Cieling cieling NN A34005 3130 30 whatsoever whatsoever RB A34005 3130 31 . . . A34005 3131 1 Now now RB A34005 3131 2 if if IN A34005 3131 3 this this DT A34005 3131 4 thread thread NN A34005 3131 5 , , , A34005 3131 6 whose whose WP$ A34005 3131 7 end end NN A34005 3131 8 is be VBZ A34005 3131 9 fastened fasten VBN A34005 3131 10 in in IN A34005 3131 11 a a DT A34005 3131 12 point point NN A34005 3131 13 on on IN A34005 3131 14 the the DT A34005 3131 15 reflected reflect VBN A34005 3131 16 reversed reverse VBN A34005 3131 17 Axis Axis NNP A34005 3131 18 , , , A34005 3131 19 be be VB A34005 3131 20 taken take VBN A34005 3131 21 and and CC A34005 3131 22 brought bring VBN A34005 3131 23 to to TO A34005 3131 24 touch touch VB A34005 3131 25 any any DT A34005 3131 26 part part NN A34005 3131 27 of of IN A34005 3131 28 any any DT A34005 3131 29 one one CD A34005 3131 30 of of IN A34005 3131 31 the the DT A34005 3131 32 threads thread NNS A34005 3131 33 of of IN A34005 3131 34 the the DT A34005 3131 35 hour hour NN A34005 3131 36 - - HYPH A34005 3131 37 lines line NNS A34005 3131 38 ( ( -LRB- A34005 3131 39 produced produce VBN A34005 3131 40 to to IN A34005 3131 41 and and CC A34005 3131 42 fastened fasten VBN A34005 3131 43 in in IN A34005 3131 44 the the DT A34005 3131 45 reflected reflected JJ A34005 3131 46 Horizon Horizon NNP A34005 3131 47 ) ) -RRB- A34005 3131 48 the the DT A34005 3131 49 said say VBD A34005 3131 50 thread thread NN A34005 3131 51 being be VBG A34005 3131 52 continued continue VBN A34005 3131 53 so so RB A34005 3131 54 , , , A34005 3131 55 as as IN A34005 3131 56 the the DT A34005 3131 57 end end NN A34005 3131 58 thereof thereof RB A34005 3131 59 may may MD A34005 3131 60 touch touch VB A34005 3131 61 the the DT A34005 3131 62 wall wall NN A34005 3131 63 or or CC A34005 3131 64 Cieling Cieling NNP A34005 3131 65 , , , A34005 3131 66 and and CC A34005 3131 67 also also RB A34005 3131 68 any any DT A34005 3131 69 part part NN A34005 3131 70 of of IN A34005 3131 71 the the DT A34005 3131 72 said say VBN A34005 3131 73 thread thread NN A34005 3131 74 touch touch NN A34005 3131 75 the the DT A34005 3131 76 hour hour NN A34005 3131 77 - - HYPH A34005 3131 78 line line NN A34005 3131 79 or or CC A34005 3131 80 thread thread NN A34005 3131 81 proposed propose VBN A34005 3131 82 ; ; : A34005 3131 83 that that DT A34005 3131 84 point point NN A34005 3131 85 on on IN A34005 3131 86 the the DT A34005 3131 87 wall wall NN A34005 3131 88 or or CC A34005 3131 89 Cieling Cieling NNP A34005 3131 90 is be VBZ A34005 3131 91 in in IN A34005 3131 92 the the DT A34005 3131 93 reflected reflected JJ A34005 3131 94 hour hour NN A34005 3131 95 - - HYPH A34005 3131 96 line line NN A34005 3131 97 desired desire VBN A34005 3131 98 to to TO A34005 3131 99 be be VB A34005 3131 100 drawn draw VBN A34005 3131 101 : : : A34005 3131 102 Also also RB A34005 3131 103 the the DT A34005 3131 104 other other JJ A34005 3131 105 point point NN A34005 3131 106 in in IN A34005 3131 107 the the DT A34005 3131 108 same same JJ A34005 3131 109 reflected reflect VBN A34005 3131 110 hour hour NN A34005 3131 111 - - HYPH A34005 3131 112 line line NN A34005 3131 113 may may MD A34005 3131 114 be be VB A34005 3131 115 found find VBN A34005 3131 116 ; ; : A34005 3131 117 If if IN A34005 3131 118 the the DT A34005 3131 119 said say VBD A34005 3131 120 thread thread NN A34005 3131 121 , , , A34005 3131 122 whose whose WP$ A34005 3131 123 end end NN A34005 3131 124 is be VBZ A34005 3131 125 fastened fasten VBN A34005 3131 126 in in IN A34005 3131 127 the the DT A34005 3131 128 Reflected Reflected NNP A34005 3131 129 Axis Axis NNP A34005 3131 130 , , , A34005 3131 131 be be VB A34005 3131 132 brought bring VBN A34005 3131 133 to to TO A34005 3131 134 touch touch VB A34005 3131 135 some some DT A34005 3131 136 other other JJ A34005 3131 137 part part NN A34005 3131 138 of of IN A34005 3131 139 the the DT A34005 3131 140 same same JJ A34005 3131 141 hour hour NN A34005 3131 142 - - HYPH A34005 3131 143 thread thread NN A34005 3131 144 proposed propose VBD A34005 3131 145 ; ; : A34005 3131 146 so so IN A34005 3131 147 that that IN A34005 3131 148 when when WRB A34005 3131 149 ( ( -LRB- A34005 3131 150 as as IN A34005 3131 151 before before IN A34005 3131 152 ) ) -RRB- A34005 3131 153 the the DT A34005 3131 154 end end NN A34005 3131 155 of of IN A34005 3131 156 the the DT A34005 3131 157 said say VBN A34005 3131 158 thread thread NN A34005 3131 159 toucheth toucheth NNP A34005 3131 160 the the DT A34005 3131 161 wall wall NN A34005 3131 162 or or CC A34005 3131 163 Cieling Cieling NNP A34005 3131 164 , , , A34005 3131 165 some some DT A34005 3131 166 part part NN A34005 3131 167 of of IN A34005 3131 168 that that DT A34005 3131 169 thread thread NN A34005 3131 170 may may MD A34005 3131 171 also also RB A34005 3131 172 touch touch VB A34005 3131 173 the the DT A34005 3131 174 hour hour NN A34005 3131 175 - - HYPH A34005 3131 176 line line NN A34005 3131 177 desired desire VBN A34005 3131 178 , , , A34005 3131 179 which which WDT A34005 3131 180 point point NN A34005 3131 181 of of IN A34005 3131 182 touch touch NN A34005 3131 183 on on IN A34005 3131 184 the the DT A34005 3131 185 wall wall NN A34005 3131 186 or or CC A34005 3131 187 Cieling Cieling NNP A34005 3131 188 , , , A34005 3131 189 is be VBZ A34005 3131 190 also also RB A34005 3131 191 another another DT A34005 3131 192 point point NN A34005 3131 193 in in IN A34005 3131 194 the the DT A34005 3131 195 said say VBD A34005 3131 196 reflected reflected JJ A34005 3131 197 hour hour NN A34005 3131 198 - - HYPH A34005 3131 199 line line NN A34005 3131 200 desired desire VBN A34005 3131 201 . . . A34005 3132 1 By by IN A34005 3132 2 which which WDT A34005 3132 3 two two CD A34005 3132 4 points point NNS A34005 3132 5 so so RB A34005 3132 6 found find VBD A34005 3132 7 ( ( -LRB- A34005 3132 8 as as IN A34005 3132 9 before before IN A34005 3132 10 ) ) -RRB- A34005 3132 11 the the DT A34005 3132 12 reflected reflected JJ A34005 3132 13 hour hour NN A34005 3132 14 - - HYPH A34005 3132 15 line line NN A34005 3132 16 may may MD A34005 3132 17 be be VB A34005 3132 18 drawn draw VBN A34005 3132 19 by by IN A34005 3132 20 a a DT A34005 3132 21 thread thread NN A34005 3132 22 , , , A34005 3132 23 projecting project VBG A34005 3132 24 by by IN A34005 3132 25 those those DT A34005 3132 26 points point NNS A34005 3132 27 from from IN A34005 3132 28 the the DT A34005 3132 29 eye eye NN A34005 3132 30 , , , A34005 3132 31 as as IN A34005 3132 32 it -PRON- PRP A34005 3132 33 was be VBD A34005 3132 34 formerly formerly RB A34005 3132 35 directed direct VBN A34005 3132 36 in in IN A34005 3132 37 drawing draw VBG A34005 3132 38 the the DT A34005 3132 39 reflected reflected JJ A34005 3132 40 hour hour NN A34005 3132 41 - - HYPH A34005 3132 42 lines line NNS A34005 3132 43 to to IN A34005 3132 44 an an DT A34005 3132 45 Horizontal Horizontal NNP A34005 3132 46 Glasse Glasse NNP A34005 3132 47 . . . A34005 3133 1 To to TO A34005 3133 2 draw draw VB A34005 3133 3 the the DT A34005 3133 4 Reflected reflected JJ A34005 3133 5 Equinoctial equinoctial JJ A34005 3133 6 line line NN A34005 3133 7 , , , A34005 3133 8 and and CC A34005 3133 9 also also RB A34005 3133 10 the the DT A34005 3133 11 Tropicks tropick NNS A34005 3133 12 on on IN A34005 3133 13 any any DT A34005 3133 14 wall wall NN A34005 3133 15 or or CC A34005 3133 16 Cieling Cieling NNP A34005 3133 17 , , , A34005 3133 18 to to IN A34005 3133 19 any any DT A34005 3133 20 Reclining Reclining NNP A34005 3133 21 Reflecting Reflecting NNP A34005 3133 22 glasse glasse NN A34005 3133 23 . . . A34005 3134 1 1 1 CD A34005 3134 2 To to TO A34005 3134 3 draw draw VB A34005 3134 4 the the DT A34005 3134 5 reflected reflected JJ A34005 3134 6 Equinoctial equinoctial JJ A34005 3134 7 line line NN A34005 3134 8 on on IN A34005 3134 9 the the DT A34005 3134 10 Wall Wall NNP A34005 3134 11 or or CC A34005 3134 12 Cieling Cieling NNP A34005 3134 13 . . . A34005 3135 1 TAke take VB A34005 3135 2 that that DT A34005 3135 3 thread thread NN A34005 3135 4 , , , A34005 3135 5 whose whose WP$ A34005 3135 6 end end NN A34005 3135 7 is be VBZ A34005 3135 8 fastened fasten VBN A34005 3135 9 in in IN A34005 3135 10 the the DT A34005 3135 11 center center NN A34005 3135 12 of of IN A34005 3135 13 the the DT A34005 3135 14 reclining recline VBG A34005 3135 15 glasse glasse NN A34005 3135 16 , , , A34005 3135 17 and and CC A34005 3135 18 move move VB A34005 3135 19 the the DT A34005 3135 20 other other JJ A34005 3135 21 end end NN A34005 3135 22 thereof thereof RB A34005 3135 23 to to IN A34005 3135 24 and and CC A34005 3135 25 fro fro NNP A34005 3135 26 in in IN A34005 3135 27 the the DT A34005 3135 28 said say VBD A34005 3135 29 Reflected Reflected NNP A34005 3135 30 meridian meridian NNP A34005 3135 31 formerly formerly RB A34005 3135 32 drawn draw VBN A34005 3135 33 , , , A34005 3135 34 until until IN A34005 3135 35 ( ( -LRB- A34005 3135 36 by by IN A34005 3135 37 help help NN A34005 3135 38 of of IN A34005 3135 39 a a DT A34005 3135 40 quadrant quadrant NN A34005 3135 41 ) ) -RRB- A34005 3135 42 the the DT A34005 3135 43 said say VBD A34005 3135 44 thread thread NN A34005 3135 45 is be VBZ A34005 3135 46 elevated elevate VBN A34005 3135 47 above above IN A34005 3135 48 the the DT A34005 3135 49 reflected reflect VBN A34005 3135 50 Horizon Horizon NNP A34005 3135 51 formerly formerly RB A34005 3135 52 drawn draw VBN A34005 3135 53 , , , A34005 3135 54 equal equal JJ A34005 3135 55 to to IN A34005 3135 56 the the DT A34005 3135 57 Complement Complement NNP A34005 3135 58 of of IN A34005 3135 59 the the DT A34005 3135 60 Latitude Latitude NNP A34005 3135 61 , , , A34005 3135 62 ( ( -LRB- A34005 3135 63 which which WDT A34005 3135 64 as as IN A34005 3135 65 before before IN A34005 3135 66 will will MD A34005 3135 67 be be VB A34005 3135 68 alwayes alwayes NNP A34005 3135 69 perpendicular perpendicular JJ A34005 3135 70 to to IN A34005 3135 71 the the DT A34005 3135 72 reversed reversed JJ A34005 3135 73 Axis Axis NNP A34005 3135 74 ) ) -RRB- A34005 3135 75 and and CC A34005 3135 76 make make VB A34005 3135 77 a a DT A34005 3135 78 point point NN A34005 3135 79 in in IN A34005 3135 80 the the DT A34005 3135 81 said say VBD A34005 3135 82 reflected reflect VBN A34005 3135 83 meridian meridian NNP A34005 3135 84 , , , A34005 3135 85 where where WRB A34005 3135 86 the the DT A34005 3135 87 end end NN A34005 3135 88 of of IN A34005 3135 89 the the DT A34005 3135 90 said say VBN A34005 3135 91 thread thread NN A34005 3135 92 toucheth toucheth NNP A34005 3135 93 ; ; : A34005 3135 94 then then RB A34005 3135 95 on on IN A34005 3135 96 that that DT A34005 3135 97 point point NN A34005 3135 98 and and CC A34005 3135 99 the the DT A34005 3135 100 said say VBD A34005 3135 101 reflected reflect VBD A34005 3135 102 meridian meridian NNP A34005 3135 103 on on IN A34005 3135 104 the the DT A34005 3135 105 Cieling Cieling NNP A34005 3135 106 , , , A34005 3135 107 raise raise VB A34005 3135 108 a a DT A34005 3135 109 perpendicular perpendicular JJ A34005 3135 110 line line NN A34005 3135 111 , , , A34005 3135 112 which which WDT A34005 3135 113 is be VBZ A34005 3135 114 the the DT A34005 3135 115 Reflected reflected JJ A34005 3135 116 Equinoctial Equinoctial NNP A34005 3135 117 line line NN A34005 3135 118 desired desire VBN A34005 3135 119 . . . A34005 3136 1 2 2 LS A34005 3136 2 . . . A34005 3137 1 To to TO A34005 3137 2 draw draw VB A34005 3137 3 the the DT A34005 3137 4 reflected reflect VBN A34005 3137 5 Tropicks tropick NNS A34005 3137 6 , , , A34005 3137 7 or or CC A34005 3137 8 other other JJ A34005 3137 9 Parallels Parallels NNPS A34005 3137 10 of of IN A34005 3137 11 Declination Declination NNP A34005 3137 12 . . . A34005 3138 1 FIrst first RB A34005 3138 2 , , , A34005 3138 3 ( ( -LRB- A34005 3138 4 as as IN A34005 3138 5 before before RB A34005 3138 6 ) ) -RRB- A34005 3138 7 make make VB A34005 3138 8 or or CC A34005 3138 9 take take VB A34005 3138 10 out out IN A34005 3138 11 of of IN A34005 3138 12 some some DT A34005 3138 13 Book Book NNP A34005 3138 14 a a DT A34005 3138 15 Table table NN A34005 3138 16 of of IN A34005 3138 17 the the DT A34005 3138 18 Suns Suns NNPS A34005 3138 19 Altitude Altitude NNP A34005 3138 20 for for IN A34005 3138 21 each each DT A34005 3138 22 hour hour NN A34005 3138 23 of of IN A34005 3138 24 the the DT A34005 3138 25 day day NN A34005 3138 26 , , , A34005 3138 27 calculated calculate VBN A34005 3138 28 for for IN A34005 3138 29 the the DT A34005 3138 30 place place NN A34005 3138 31 or or CC A34005 3138 32 Latitude Latitude NNP A34005 3138 33 proposed propose VBD A34005 3138 34 , , , A34005 3138 35 when when WRB A34005 3138 36 the the DT A34005 3138 37 Sun Sun NNP A34005 3138 38 is be VBZ A34005 3138 39 in in IN A34005 3138 40 either either DT A34005 3138 41 of of IN A34005 3138 42 the the DT A34005 3138 43 Tropicks Tropicks NNPS A34005 3138 44 , , , A34005 3138 45 or or CC A34005 3138 46 other other JJ A34005 3138 47 parallel parallel NN A34005 3138 48 of of IN A34005 3138 49 Declination declination NN A34005 3138 50 : : : A34005 3138 51 then then RB A34005 3138 52 take take VB A34005 3138 53 that that DT A34005 3138 54 thread thread NN A34005 3138 55 , , , A34005 3138 56 whose whose WP$ A34005 3138 57 end end NN A34005 3138 58 is be VBZ A34005 3138 59 fastened fasten VBN A34005 3138 60 in in IN A34005 3138 61 the the DT A34005 3138 62 center center NN A34005 3138 63 of of IN A34005 3138 64 the the DT A34005 3138 65 Glasse Glasse NNP A34005 3138 66 , , , A34005 3138 67 move move VB A34005 3138 68 the the DT A34005 3138 69 other other JJ A34005 3138 70 end end NN A34005 3138 71 thereof thereof RB A34005 3138 72 to to IN A34005 3138 73 and and CC A34005 3138 74 fro fro NNP A34005 3138 75 in in IN A34005 3138 76 the the DT A34005 3138 77 hour hour NN A34005 3138 78 - - HYPH A34005 3138 79 line line NN A34005 3138 80 proposed propose VBN A34005 3138 81 , , , A34005 3138 82 until until IN A34005 3138 83 by by IN A34005 3138 84 applying apply VBG A34005 3138 85 one one CD A34005 3138 86 side side NN A34005 3138 87 of of IN A34005 3138 88 a a DT A34005 3138 89 quadrant quadrant NN A34005 3138 90 to to IN A34005 3138 91 the the DT A34005 3138 92 said said JJ A34005 3138 93 thread thread NN A34005 3138 94 you -PRON- PRP A34005 3138 95 find find VBP A34005 3138 96 the the DT A34005 3138 97 said say VBN A34005 3138 98 thread thread NN A34005 3138 99 elevated elevate VBN A34005 3138 100 above above IN A34005 3138 101 the the DT A34005 3138 102 reflected reflected JJ A34005 3138 103 Horizon Horizon NNP A34005 3138 104 answerable answerable JJ A34005 3138 105 to to IN A34005 3138 106 the the DT A34005 3138 107 Suns Suns NNPS A34005 3138 108 height height NN A34005 3138 109 in in IN A34005 3138 110 that that DT A34005 3138 111 hour hour NN A34005 3138 112 proposed propose VBD A34005 3138 113 , , , A34005 3138 114 when when WRB A34005 3138 115 he -PRON- PRP A34005 3138 116 is be VBZ A34005 3138 117 in in IN A34005 3138 118 that that DT A34005 3138 119 Tropick Tropick NNP A34005 3138 120 or or CC A34005 3138 121 degree degree NN A34005 3138 122 of of IN A34005 3138 123 Declination Declination NNP A34005 3138 124 proposed propose VBN A34005 3138 125 . . . A34005 3139 1 Which which WDT A34005 3139 2 altitude altitude NN A34005 3139 3 required require VBN A34005 3139 4 will will MD A34005 3139 5 be be VB A34005 3139 6 found find VBN A34005 3139 7 in in IN A34005 3139 8 the the DT A34005 3139 9 foresaid foresaid VBN A34005 3139 10 Table table NN A34005 3139 11 for for IN A34005 3139 12 that that DT A34005 3139 13 end end NN A34005 3139 14 calculated calculate VBN A34005 3139 15 , , , A34005 3139 16 which which WDT A34005 3139 17 said say VBD A34005 3139 18 thread thread NN A34005 3139 19 being be VBG A34005 3139 20 of of IN A34005 3139 21 the the DT A34005 3139 22 elevation elevation NN A34005 3139 23 above above IN A34005 3139 24 the the DT A34005 3139 25 reflected reflect VBN A34005 3139 26 Horizon Horizon NNP A34005 3139 27 , , , A34005 3139 28 as as IN A34005 3139 29 the the DT A34005 3139 30 said say VBD A34005 3139 31 Table Table NNP A34005 3139 32 directeth directeth NNP A34005 3139 33 : : : A34005 3139 34 then then RB A34005 3139 35 mark mark VB A34005 3139 36 where where WRB A34005 3139 37 the the DT A34005 3139 38 end end NN A34005 3139 39 of of IN A34005 3139 40 the the DT A34005 3139 41 thread thread NN A34005 3139 42 ( ( -LRB- A34005 3139 43 so so RB A34005 3139 44 elevated elevated JJ A34005 3139 45 ) ) -RRB- A34005 3139 46 toucheth toucheth NNP A34005 3139 47 the the DT A34005 3139 48 Wall Wall NNP A34005 3139 49 or or CC A34005 3139 50 Cieling Cieling NNP A34005 3139 51 in in IN A34005 3139 52 that that DT A34005 3139 53 hour hour NN A34005 3139 54 - - HYPH A34005 3139 55 line line NN A34005 3139 56 : : : A34005 3139 57 so so RB A34005 3139 58 is be VBZ A34005 3139 59 one one CD A34005 3139 60 point point NN A34005 3139 61 found find VBN A34005 3139 62 in in IN A34005 3139 63 the the DT A34005 3139 64 reflected reflect VBN A34005 3139 65 parallel parallel NN A34005 3139 66 of of IN A34005 3139 67 Declination declination NN A34005 3139 68 desired desire VBN A34005 3139 69 to to TO A34005 3139 70 be be VB A34005 3139 71 drawn draw VBN A34005 3139 72 . . . A34005 3140 1 In in IN A34005 3140 2 like like JJ A34005 3140 3 manner manner NN A34005 3140 4 , , , A34005 3140 5 find find VBP A34005 3140 6 in in IN A34005 3140 7 the the DT A34005 3140 8 said say VBN A34005 3140 9 Table table NN A34005 3140 10 in in IN A34005 3140 11 the the DT A34005 3140 12 same same JJ A34005 3140 13 parallel parallel NN A34005 3140 14 or or CC A34005 3140 15 degree degree NN A34005 3140 16 of of IN A34005 3140 17 declination declination NN A34005 3140 18 what what WDT A34005 3140 19 altitude altitude NN A34005 3140 20 the the DT A34005 3140 21 Sun Sun NNP A34005 3140 22 hath hath NN A34005 3140 23 at at IN A34005 3140 24 the the DT A34005 3140 25 next next JJ A34005 3140 26 hour hour NN A34005 3140 27 , , , A34005 3140 28 and and CC A34005 3140 29 elevate elevate VB A34005 3140 30 the the DT A34005 3140 31 said say VBN A34005 3140 32 thread thread NN A34005 3140 33 , , , A34005 3140 34 whose whose WP$ A34005 3140 35 end end NN A34005 3140 36 is be VBZ A34005 3140 37 fastened fasten VBN A34005 3140 38 in in IN A34005 3140 39 the the DT A34005 3140 40 center center NN A34005 3140 41 of of IN A34005 3140 42 the the DT A34005 3140 43 Glasse Glasse NNP A34005 3140 44 , , , A34005 3140 45 equal equal JJ A34005 3140 46 to to IN A34005 3140 47 the the DT A34005 3140 48 Suns Suns NNPS A34005 3140 49 altitude altitude NN A34005 3140 50 in in IN A34005 3140 51 that that DT A34005 3140 52 hour hour NN A34005 3140 53 above above IN A34005 3140 54 the the DT A34005 3140 55 said say VBD A34005 3140 56 reflected reflect VBN A34005 3140 57 Horizon Horizon NNP A34005 3140 58 , , , A34005 3140 59 by by IN A34005 3140 60 help help NN A34005 3140 61 of of IN A34005 3140 62 the the DT A34005 3140 63 said say VBN A34005 3140 64 Quadrant Quadrant NNP A34005 3140 65 , , , A34005 3140 66 and and CC A34005 3140 67 where where WRB A34005 3140 68 the the DT A34005 3140 69 other other JJ A34005 3140 70 end end NN A34005 3140 71 of of IN A34005 3140 72 the the DT A34005 3140 73 said say VBN A34005 3140 74 thread thread NN A34005 3140 75 falleth falleth JJ A34005 3140 76 in in IN A34005 3140 77 the the DT A34005 3140 78 hour hour NN A34005 3140 79 - - HYPH A34005 3140 80 line line NN A34005 3140 81 proposed propose VBN A34005 3140 82 , , , A34005 3140 83 make make VB A34005 3140 84 another another DT A34005 3140 85 mark mark NN A34005 3140 86 or or CC A34005 3140 87 point point NN A34005 3140 88 . . . A34005 3141 1 And and CC A34005 3141 2 so so RB A34005 3141 3 in in IN A34005 3141 4 like like JJ A34005 3141 5 manner manner NN A34005 3141 6 make make VBP A34005 3141 7 the the DT A34005 3141 8 points point NNS A34005 3141 9 ( ( -LRB- A34005 3141 10 belonging belong VBG A34005 3141 11 to to IN A34005 3141 12 that that DT A34005 3141 13 parallel parallel NN A34005 3141 14 of of IN A34005 3141 15 Declination declination NN A34005 3141 16 ) ) -RRB- A34005 3141 17 in in IN A34005 3141 18 the the DT A34005 3141 19 remaining remaining JJ A34005 3141 20 hour hour NN A34005 3141 21 - - HYPH A34005 3141 22 lines line NNS A34005 3141 23 , , , A34005 3141 24 according accord VBG A34005 3141 25 to to IN A34005 3141 26 the the DT A34005 3141 27 several several JJ A34005 3141 28 Altitudes altitude NNS A34005 3141 29 found find VBN A34005 3141 30 in in IN A34005 3141 31 the the DT A34005 3141 32 said say VBN A34005 3141 33 Table table NN A34005 3141 34 of of IN A34005 3141 35 Altitudes altitude NNS A34005 3141 36 : : : A34005 3141 37 Then then RB A34005 3141 38 drawing draw VBG A34005 3141 39 by by IN A34005 3141 40 hand hand NN A34005 3141 41 a a DT A34005 3141 42 line line NN A34005 3141 43 to to TO A34005 3141 44 passe passe VB A34005 3141 45 through through IN A34005 3141 46 those those DT A34005 3141 47 several several JJ A34005 3141 48 points point NNS A34005 3141 49 so so RB A34005 3141 50 found find VBN A34005 3141 51 , , , A34005 3141 52 as as IN A34005 3141 53 before before RB A34005 3141 54 , , , A34005 3141 55 which which WDT A34005 3141 56 line line NN A34005 3141 57 is be VBZ A34005 3141 58 the the DT A34005 3141 59 reflected reflected JJ A34005 3141 60 parallel parallel NN A34005 3141 61 of of IN A34005 3141 62 the the DT A34005 3141 63 Suns Suns NNPS A34005 3141 64 declination declination NN A34005 3141 65 desired desire VBD A34005 3141 66 . . . A34005 3142 1 In in IN A34005 3142 2 like like JJ A34005 3142 3 manner manner NN A34005 3142 4 may may MD A34005 3142 5 be be VB A34005 3142 6 drawn draw VBN A34005 3142 7 all all DT A34005 3142 8 or or CC A34005 3142 9 any any DT A34005 3142 10 other other JJ A34005 3142 11 parallel parallel NN A34005 3142 12 of of IN A34005 3142 13 Declination declination NN A34005 3142 14 , , , A34005 3142 15 which which WDT A34005 3142 16 may may MD A34005 3142 17 have have VB A34005 3142 18 respect respect NN A34005 3142 19 to to IN A34005 3142 20 the the DT A34005 3142 21 Suns Suns NNP A34005 3142 22 place place NN A34005 3142 23 , , , A34005 3142 24 or or CC A34005 3142 25 the the DT A34005 3142 26 length length NN A34005 3142 27 of of IN A34005 3142 28 the the DT A34005 3142 29 day day NN A34005 3142 30 , , , A34005 3142 31 as as IN A34005 3142 32 shall shall MD A34005 3142 33 be be VB A34005 3142 34 desired desire VBN A34005 3142 35 . . . A34005 3143 1 Or or CC A34005 3143 2 , , , A34005 3143 3 To to TO A34005 3143 4 draw draw VB A34005 3143 5 the the DT A34005 3143 6 said say VBD A34005 3143 7 reflected reflect VBN A34005 3143 8 Tropicks tropick NNS A34005 3143 9 , , , A34005 3143 10 or or CC A34005 3143 11 other other JJ A34005 3143 12 parallels parallel NNS A34005 3143 13 of of IN A34005 3143 14 Declination declination NN A34005 3143 15 , , , A34005 3143 16 without without IN A34005 3143 17 any any DT A34005 3143 18 Tables Tables NNPS A34005 3143 19 calculated calculate VBN A34005 3143 20 , , , A34005 3143 21 only only RB A34005 3143 22 , , , A34005 3143 23 by by IN A34005 3143 24 help help NN A34005 3143 25 of of IN A34005 3143 26 a a DT A34005 3143 27 Trigon Trigon NNP A34005 3143 28 first first RB A34005 3143 29 made make VBN A34005 3143 30 on on IN A34005 3143 31 pastboard pastboard NN A34005 3143 32 or or CC A34005 3143 33 other other JJ A34005 3143 34 material material NN A34005 3143 35 . . . A34005 3144 1 Note note VB A34005 3144 2 that that IN A34005 3144 3 all all DT A34005 3144 4 Parallels parallel NNS A34005 3144 5 are be VBP A34005 3144 6 lesser less JJR A34005 3144 7 Circles Circles NNP A34005 3144 8 . . . A34005 3145 1 FIrst first RB A34005 3145 2 ( ( -LRB- A34005 3145 3 as as RB A34005 3145 4 formerly formerly RB A34005 3145 5 is be VBZ A34005 3145 6 shewd shewd NNS A34005 3145 7 in in IN A34005 3145 8 drawing draw VBG A34005 3145 9 the the DT A34005 3145 10 parallels parallel NNS A34005 3145 11 of of IN A34005 3145 12 Delination delination NN A34005 3145 13 to to IN A34005 3145 14 a a DT A34005 3145 15 Reflecting reflect VBG A34005 3145 16 Horizontal Horizontal NNP A34005 3145 17 Glasse Glasse NNP A34005 3145 18 ) ) -RRB- A34005 3145 19 fasten fasten VBP A34005 3145 20 the the DT A34005 3145 21 Trigon Trigon NNP A34005 3145 22 on on IN A34005 3145 23 the the DT A34005 3145 24 reflected reflect VBN A34005 3145 25 reversed reverse VBN A34005 3145 26 Axis Axis NNP A34005 3145 27 , , , A34005 3145 28 so so IN A34005 3145 29 that that IN A34005 3145 30 the the DT A34005 3145 31 center center NN A34005 3145 32 of of IN A34005 3145 33 the the DT A34005 3145 34 Trigon Trigon NNP A34005 3145 35 may may MD A34005 3145 36 be be VB A34005 3145 37 in in IN A34005 3145 38 the the DT A34005 3145 39 center center NN A34005 3145 40 of of IN A34005 3145 41 the the DT A34005 3145 42 Glasse Glasse NNP A34005 3145 43 , , , A34005 3145 44 then then RB A34005 3145 45 also also RB A34005 3145 46 will will MD A34005 3145 47 the the DT A34005 3145 48 Equinoctial Equinoctial NNP A34005 3145 49 on on IN A34005 3145 50 the the DT A34005 3145 51 Trigon Trigon NNP A34005 3145 52 be be VB A34005 3145 53 perpendicular perpendicular JJ A34005 3145 54 to to IN A34005 3145 55 the the DT A34005 3145 56 said say VBD A34005 3145 57 reflected reflect VBN A34005 3145 58 reversed reversed JJ A34005 3145 59 Axis Axis NNP A34005 3145 60 : : : A34005 3145 61 then then RB A34005 3145 62 take take VB A34005 3145 63 the the DT A34005 3145 64 thread thread NN A34005 3145 65 fixed fix VBN A34005 3145 66 in in IN A34005 3145 67 the the DT A34005 3145 68 center center NN A34005 3145 69 of of IN A34005 3145 70 the the DT A34005 3145 71 said say VBD A34005 3145 72 Glasse Glasse NNP A34005 3145 73 , , , A34005 3145 74 ( ( -LRB- A34005 3145 75 which which WDT A34005 3145 76 is be VBZ A34005 3145 77 also also RB A34005 3145 78 in in IN A34005 3145 79 the the DT A34005 3145 80 center center NN A34005 3145 81 of of IN A34005 3145 82 the the DT A34005 3145 83 Trigon Trigon NNP A34005 3145 84 ) ) -RRB- A34005 3145 85 and and CC A34005 3145 86 lay lie VBD A34005 3145 87 it -PRON- PRP A34005 3145 88 upon upon IN A34005 3145 89 that that DT A34005 3145 90 parallel parallel NN A34005 3145 91 of of IN A34005 3145 92 Declination declination NN A34005 3145 93 , , , A34005 3145 94 drawn draw VBN A34005 3145 95 on on IN A34005 3145 96 the the DT A34005 3145 97 said say VBN A34005 3145 98 Trigon Trigon NNP A34005 3145 99 , , , A34005 3145 100 whose whose WP$ A34005 3145 101 reflected reflect VBN A34005 3145 102 parallel parallel NN A34005 3145 103 is be VBZ A34005 3145 104 required require VBN A34005 3145 105 to to TO A34005 3145 106 be be VB A34005 3145 107 drawn draw VBN A34005 3145 108 on on IN A34005 3145 109 the the DT A34005 3145 110 plane plane NN A34005 3145 111 or or CC A34005 3145 112 Cieling cieling NN A34005 3145 113 : : : A34005 3145 114 then then RB A34005 3145 115 move move VB A34005 3145 116 the the DT A34005 3145 117 Trigon Trigon NNP A34005 3145 118 , , , A34005 3145 119 the the DT A34005 3145 120 thread thread NN A34005 3145 121 lying lie VBG A34005 3145 122 on on IN A34005 3145 123 the the DT A34005 3145 124 said say VBN A34005 3145 125 parallel parallel NN A34005 3145 126 , , , A34005 3145 127 until until IN A34005 3145 128 the the DT A34005 3145 129 end end NN A34005 3145 130 of of IN A34005 3145 131 the the DT A34005 3145 132 said say VBN A34005 3145 133 thread thread NN A34005 3145 134 touch touch NN A34005 3145 135 any any DT A34005 3145 136 hour hour NN A34005 3145 137 - - HYPH A34005 3145 138 line line NN A34005 3145 139 on on IN A34005 3145 140 the the DT A34005 3145 141 said say VBN A34005 3145 142 wall wall NN A34005 3145 143 or or CC A34005 3145 144 Cieling Cieling NNP A34005 3145 145 , , , A34005 3145 146 in in IN A34005 3145 147 which which WDT A34005 3145 148 point point NN A34005 3145 149 of of IN A34005 3145 150 touch touch NN A34005 3145 151 on on IN A34005 3145 152 that that DT A34005 3145 153 hour hour NN A34005 3145 154 - - HYPH A34005 3145 155 line line NN A34005 3145 156 make make VBP A34005 3145 157 a a DT A34005 3145 158 mark mark NN A34005 3145 159 , , , A34005 3145 160 so so RB A34005 3145 161 will will MD A34005 3145 162 that that DT A34005 3145 163 point point NN A34005 3145 164 be be VB A34005 3145 165 in in IN A34005 3145 166 the the DT A34005 3145 167 reflected reflect VBN A34005 3145 168 parallel parallel NN A34005 3145 169 of of IN A34005 3145 170 Declination declination NN A34005 3145 171 desired desire VBN A34005 3145 172 . . . A34005 3146 1 In in IN A34005 3146 2 like like JJ A34005 3146 3 manner manner NN A34005 3146 4 , , , A34005 3146 5 move move VB A34005 3146 6 the the DT A34005 3146 7 said say VBN A34005 3146 8 Trigon Trigon NNP A34005 3146 9 , , , A34005 3146 10 still still RB A34005 3146 11 keeping keep VBG A34005 3146 12 the the DT A34005 3146 13 thread thread NN A34005 3146 14 on on IN A34005 3146 15 the the DT A34005 3146 16 same same JJ A34005 3146 17 parallel parallel NN A34005 3146 18 , , , A34005 3146 19 until until IN A34005 3146 20 the the DT A34005 3146 21 end end NN A34005 3146 22 of of IN A34005 3146 23 that that DT A34005 3146 24 thread thread NN A34005 3146 25 touch touch NN A34005 3146 26 another another DT A34005 3146 27 hour hour NN A34005 3146 28 - - HYPH A34005 3146 29 line line NN A34005 3146 30 on on IN A34005 3146 31 the the DT A34005 3146 32 said say VBN A34005 3146 33 plane plane NN A34005 3146 34 or or CC A34005 3146 35 Cieling Cieling NNP A34005 3146 36 , , , A34005 3146 37 and and CC A34005 3146 38 there there EX A34005 3146 39 also also RB A34005 3146 40 make make VBP A34005 3146 41 another another DT A34005 3146 42 mark mark NN A34005 3146 43 . . . A34005 3147 1 And and CC A34005 3147 2 so so RB A34005 3147 3 in in IN A34005 3147 4 like like UH A34005 3147 5 manner manner NN A34005 3147 6 find find VBP A34005 3147 7 a a DT A34005 3147 8 point point NN A34005 3147 9 in in IN A34005 3147 10 each each DT A34005 3147 11 hour hour NN A34005 3147 12 - - HYPH A34005 3147 13 line line NN A34005 3147 14 through through IN A34005 3147 15 which which WDT A34005 3147 16 that that WDT A34005 3147 17 reflected reflect VBD A34005 3147 18 parallel parallel NN A34005 3147 19 must must MD A34005 3147 20 passe passe VB A34005 3147 21 ; ; : A34005 3147 22 then then RB A34005 3147 23 drawing draw VBG A34005 3147 24 a a DT A34005 3147 25 line line NN A34005 3147 26 to to TO A34005 3147 27 passe passe VB A34005 3147 28 through through IN A34005 3147 29 those those DT A34005 3147 30 several several JJ A34005 3147 31 points point NNS A34005 3147 32 on on IN A34005 3147 33 the the DT A34005 3147 34 said say VBN A34005 3147 35 plane plane NN A34005 3147 36 or or CC A34005 3147 37 Cieling Cieling NNP A34005 3147 38 , , , A34005 3147 39 which which WDT A34005 3147 40 line line NN A34005 3147 41 is be VBZ A34005 3147 42 the the DT A34005 3147 43 reflected reflected JJ A34005 3147 44 parallel parallel NN A34005 3147 45 of of IN A34005 3147 46 the the DT A34005 3147 47 Suns Suns NNPS A34005 3147 48 Declination Declination NNP A34005 3147 49 desired desire VBD A34005 3147 50 . . . A34005 3148 1 In in IN A34005 3148 2 like like JJ A34005 3148 3 manner manner NN A34005 3148 4 may may MD A34005 3148 5 be be VB A34005 3148 6 drawn draw VBN A34005 3148 7 any any DT A34005 3148 8 other other JJ A34005 3148 9 reflected reflect VBN A34005 3148 10 parallel parallel NN A34005 3148 11 of of IN A34005 3148 12 Declination Declination NNP A34005 3148 13 required require VBN A34005 3148 14 . . . A34005 3149 1 To to TO A34005 3149 2 draw draw VB A34005 3149 3 the the DT A34005 3149 4 reflected reflected JJ A34005 3149 5 Azimuth Azimuth NNP A34005 3149 6 - - HYPH A34005 3149 7 lines line NNS A34005 3149 8 to to IN A34005 3149 9 any any DT A34005 3149 10 reclining recline VBG A34005 3149 11 Glasse Glasse NNP A34005 3149 12 , , , A34005 3149 13 on on IN A34005 3149 14 any any DT A34005 3149 15 plane plane NN A34005 3149 16 whatsoever whatsoever RB A34005 3149 17 that that IN A34005 3149 18 the the DT A34005 3149 19 Sun Sun NNP A34005 3149 20 - - HYPH A34005 3149 21 beams beam NNS A34005 3149 22 will will MD A34005 3149 23 be be VB A34005 3149 24 reflected reflect VBN A34005 3149 25 on on IN A34005 3149 26 . . . A34005 3150 1 Here here RB A34005 3150 2 note note VB A34005 3150 3 that that IN A34005 3150 4 Azimuths azimuth NNS A34005 3150 5 are be VBP A34005 3150 6 great great JJ A34005 3150 7 Circles circle NNS A34005 3150 8 . . . A34005 3151 1 FIrst first RB A34005 3151 2 , , , A34005 3151 3 know know VB A34005 3151 4 that that IN A34005 3151 5 the the DT A34005 3151 6 reflected reflect VBN A34005 3151 7 vertical vertical JJ A34005 3151 8 point point NN A34005 3151 9 in in IN A34005 3151 10 the the DT A34005 3151 11 Axis Axis NNP A34005 3151 12 of of IN A34005 3151 13 the the DT A34005 3151 14 Reflected Reflected NNP A34005 3151 15 Horizon Horizon NNP A34005 3151 16 , , , A34005 3151 17 will will MD A34005 3151 18 alwayes alwayes NNP A34005 3151 19 be be VB A34005 3151 20 found find VBN A34005 3151 21 in in IN A34005 3151 22 the the DT A34005 3151 23 reflected reflect VBN A34005 3151 24 meridian meridian NNP A34005 3151 25 . . . A34005 3152 1 And and CC A34005 3152 2 look look VB A34005 3152 3 how how WRB A34005 3152 4 many many JJ A34005 3152 5 degrees degree NNS A34005 3152 6 the the DT A34005 3152 7 reflected reflected JJ A34005 3152 8 Horizon Horizon NNP A34005 3152 9 differs differ VBZ A34005 3152 10 from from IN A34005 3152 11 the the DT A34005 3152 12 direct direct JJ A34005 3152 13 Horizon Horizon NNP A34005 3152 14 , , , A34005 3152 15 so so RB A34005 3152 16 many many JJ A34005 3152 17 must must MD A34005 3152 18 the the DT A34005 3152 19 reflected reflect VBN A34005 3152 20 Axis Axis NNP A34005 3152 21 of of IN A34005 3152 22 the the DT A34005 3152 23 Horizon Horizon NNP A34005 3152 24 differ differ VBP A34005 3152 25 from from IN A34005 3152 26 the the DT A34005 3152 27 direct direct JJ A34005 3152 28 Axis Axis NNP A34005 3152 29 of of IN A34005 3152 30 the the DT A34005 3152 31 Horizon Horizon NNP A34005 3152 32 : : : A34005 3152 33 Hence hence RB A34005 3152 34 the the DT A34005 3152 35 reflected reflect VBN A34005 3152 36 vertical vertical JJ A34005 3152 37 point point NN A34005 3152 38 , , , A34005 3152 39 whereby whereby WRB A34005 3152 40 the the DT A34005 3152 41 reflected reflect VBN A34005 3152 42 Azimuth Azimuth NNP A34005 3152 43 - - HYPH A34005 3152 44 lines line NNS A34005 3152 45 are be VBP A34005 3152 46 drawn draw VBN A34005 3152 47 , , , A34005 3152 48 may may MD A34005 3152 49 be be VB A34005 3152 50 thus thus RB A34005 3152 51 found find VBN A34005 3152 52 . . . A34005 3153 1 Take take VB A34005 3153 2 that that DT A34005 3153 3 thread thread NN A34005 3153 4 whose whose WP$ A34005 3153 5 end end NN A34005 3153 6 is be VBZ A34005 3153 7 fixed fix VBN A34005 3153 8 in in IN A34005 3153 9 the the DT A34005 3153 10 center center NN A34005 3153 11 of of IN A34005 3153 12 the the DT A34005 3153 13 Glasse Glasse NNP A34005 3153 14 , , , A34005 3153 15 and and CC A34005 3153 16 move move VB A34005 3153 17 the the DT A34005 3153 18 other other JJ A34005 3153 19 end end NN A34005 3153 20 thereof thereof RB A34005 3153 21 to to IN A34005 3153 22 & & CC A34005 3153 23 fro fro NNP A34005 3153 24 in in IN A34005 3153 25 the the DT A34005 3153 26 reflected reflect VBN A34005 3153 27 meridian meridian NN A34005 3153 28 , , , A34005 3153 29 until until IN A34005 3153 30 by by IN A34005 3153 31 applying apply VBG A34005 3153 32 one one CD A34005 3153 33 side side NN A34005 3153 34 of of IN A34005 3153 35 a a DT A34005 3153 36 quadrant quadrant NN A34005 3153 37 thereto thereto NN A34005 3153 38 , , , A34005 3153 39 you -PRON- PRP A34005 3153 40 find find VBP A34005 3153 41 the the DT A34005 3153 42 said said JJ A34005 3153 43 thread thread NN A34005 3153 44 depressed depress VBD A34005 3153 45 just just RB A34005 3153 46 90 90 CD A34005 3153 47 degrees degree NNS A34005 3153 48 , , , A34005 3153 49 or or CC A34005 3153 50 perpendicular perpendicular JJ A34005 3153 51 under under IN A34005 3153 52 the the DT A34005 3153 53 reflected reflect VBN A34005 3153 54 Horizon Horizon NNP A34005 3153 55 ; ; : A34005 3153 56 then then RB A34005 3153 57 make make VB A34005 3153 58 a a DT A34005 3153 59 mark mark NN A34005 3153 60 or or CC A34005 3153 61 point point NN A34005 3153 62 where where WRB A34005 3153 63 the the DT A34005 3153 64 other other JJ A34005 3153 65 end end NN A34005 3153 66 of of IN A34005 3153 67 the the DT A34005 3153 68 said say VBN A34005 3153 69 thread thread NN A34005 3153 70 toucheth toucheth NNP A34005 3153 71 the the DT A34005 3153 72 said say VBD A34005 3153 73 reflected reflect VBD A34005 3153 74 Meridian Meridian NNP A34005 3153 75 on on IN A34005 3153 76 the the DT A34005 3153 77 Wall Wall NNP A34005 3153 78 , , , A34005 3153 79 Ground Ground NNP A34005 3153 80 , , , A34005 3153 81 or or CC A34005 3153 82 Floor Floor NNP A34005 3153 83 of of IN A34005 3153 84 the the DT A34005 3153 85 Room Room NNP A34005 3153 86 , , , A34005 3153 87 which which WDT A34005 3153 88 point point NN A34005 3153 89 so so RB A34005 3153 90 found find VBN A34005 3153 91 is be VBZ A34005 3153 92 the the DT A34005 3153 93 reflected reflected JJ A34005 3153 94 vertical vertical JJ A34005 3153 95 point point NN A34005 3153 96 desired desire VBN A34005 3153 97 , , , A34005 3153 98 in in IN A34005 3153 99 which which WDT A34005 3153 100 point point NN A34005 3153 101 fasten fasten RB A34005 3153 102 one one CD A34005 3153 103 end end NN A34005 3153 104 of of IN A34005 3153 105 a a DT A34005 3153 106 thread thread NN A34005 3153 107 : : : A34005 3153 108 Then then RB A34005 3153 109 on on IN A34005 3153 110 pastboard pastboard NN A34005 3153 111 or or CC A34005 3153 112 other other JJ A34005 3153 113 material material NN A34005 3153 114 draw draw VBP A34005 3153 115 the the DT A34005 3153 116 points point NNS A34005 3153 117 of of IN A34005 3153 118 the the DT A34005 3153 119 Compasse Compasse NNP A34005 3153 120 or or CC A34005 3153 121 other other JJ A34005 3153 122 degrees degree NNS A34005 3153 123 , , , A34005 3153 124 placing place VBG A34005 3153 125 the the DT A34005 3153 126 center center NN A34005 3153 127 thereof thereof RB A34005 3153 128 in in IN A34005 3153 129 the the DT A34005 3153 130 center center NN A34005 3153 131 of of IN A34005 3153 132 the the DT A34005 3153 133 Glasse Glasse NNP A34005 3153 134 , , , A34005 3153 135 and and CC A34005 3153 136 the the DT A34005 3153 137 meridian meridian NN A34005 3153 138 thereof thereof VBD A34005 3153 139 in in IN A34005 3153 140 the the DT A34005 3153 141 reflected reflected JJ A34005 3153 142 meridian meridian NN A34005 3153 143 of of IN A34005 3153 144 the the DT A34005 3153 145 world world NN A34005 3153 146 , , , A34005 3153 147 which which WDT A34005 3153 148 said say VBD A34005 3153 149 pastboard pastboard NN A34005 3153 150 must must MD A34005 3153 151 be be VB A34005 3153 152 also also RB A34005 3153 153 situated situate VBN A34005 3153 154 in in IN A34005 3153 155 the the DT A34005 3153 156 reflected reflected JJ A34005 3153 157 Horizon Horizon NNP A34005 3153 158 just just RB A34005 3153 159 as as IN A34005 3153 160 the the DT A34005 3153 161 Horizontal Horizontal NNP A34005 3153 162 Dial Dial NNP A34005 3153 163 was be VBD A34005 3153 164 formerly formerly RB A34005 3153 165 directed direct VBN A34005 3153 166 to to TO A34005 3153 167 be be VB A34005 3153 168 situated situate VBN A34005 3153 169 for for IN A34005 3153 170 drawing draw VBG A34005 3153 171 the the DT A34005 3153 172 reflected reflected JJ A34005 3153 173 hour hour NN A34005 3153 174 - - HYPH A34005 3153 175 lines line NNS A34005 3153 176 : : : A34005 3153 177 And and CC A34005 3153 178 as as IN A34005 3153 179 the the DT A34005 3153 180 threads thread NNS A34005 3153 181 from from IN A34005 3153 182 the the DT A34005 3153 183 center center NN A34005 3153 184 fastened fasten VBN A34005 3153 185 in in IN A34005 3153 186 the the DT A34005 3153 187 reflected reflect VBN A34005 3153 188 Horizon Horizon NNP A34005 3153 189 were be VBD A34005 3153 190 also also RB A34005 3153 191 the the DT A34005 3153 192 hour hour NN A34005 3153 193 - - HYPH A34005 3153 194 lines line NNS A34005 3153 195 on on IN A34005 3153 196 the the DT A34005 3153 197 Horizontal Horizontal NNP A34005 3153 198 Diall Diall NNP A34005 3153 199 , , , A34005 3153 200 whereby whereby WRB A34005 3153 201 the the DT A34005 3153 202 reflected reflected JJ A34005 3153 203 hour hour NN A34005 3153 204 - - HYPH A34005 3153 205 lines line NNS A34005 3153 206 were be VBD A34005 3153 207 drawn draw VBN A34005 3153 208 . . . A34005 3154 1 So so RB A34005 3154 2 now now RB A34005 3154 3 the the DT A34005 3154 4 threads thread NNS A34005 3154 5 from from IN A34005 3154 6 the the DT A34005 3154 7 center center NN A34005 3154 8 fastened fasten VBN A34005 3154 9 in in IN A34005 3154 10 the the DT A34005 3154 11 Reflected Reflected NNP A34005 3154 12 Horizon Horizon NNP A34005 3154 13 may may MD A34005 3154 14 be be VB A34005 3154 15 the the DT A34005 3154 16 Horizontal Horizontal NNP A34005 3154 17 Azimuth Azimuth NNP A34005 3154 18 lines line NNS A34005 3154 19 , , , A34005 3154 20 whereby whereby WRB A34005 3154 21 the the DT A34005 3154 22 reflected reflect VBN A34005 3154 23 Azimuth Azimuth NNP A34005 3154 24 - - HYPH A34005 3154 25 lines line NNS A34005 3154 26 may may MD A34005 3154 27 be be VB A34005 3154 28 drawn draw VBN A34005 3154 29 : : : A34005 3154 30 Or or CC A34005 3154 31 if if IN A34005 3154 32 that that DT A34005 3154 33 thread thread NN A34005 3154 34 which which WDT A34005 3154 35 fastned fastne VBN A34005 3154 36 in in IN A34005 3154 37 the the DT A34005 3154 38 center center NN A34005 3154 39 of of IN A34005 3154 40 the the DT A34005 3154 41 glass glass NN A34005 3154 42 be be VB A34005 3154 43 drawn draw VBN A34005 3154 44 exactly exactly RB A34005 3154 45 over over IN A34005 3154 46 any any DT A34005 3154 47 Azimuth Azimuth NNP A34005 3154 48 - - HYPH A34005 3154 49 line line NN A34005 3154 50 , , , A34005 3154 51 the the DT A34005 3154 52 end end NN A34005 3154 53 whereof whereof WRB A34005 3154 54 being be VBG A34005 3154 55 fastened fasten VBN A34005 3154 56 by by IN A34005 3154 57 a a DT A34005 3154 58 nail nail NN A34005 3154 59 or or CC A34005 3154 60 other other JJ A34005 3154 61 means mean NNS A34005 3154 62 in in IN A34005 3154 63 the the DT A34005 3154 64 reflected reflected JJ A34005 3154 65 Horizon Horizon NNP A34005 3154 66 on on IN A34005 3154 67 the the DT A34005 3154 68 other other JJ A34005 3154 69 side side NN A34005 3154 70 of of IN A34005 3154 71 the the DT A34005 3154 72 Room Room NNP A34005 3154 73 , , , A34005 3154 74 there there EX A34005 3154 75 may may MD A34005 3154 76 several several JJ A34005 3154 77 points point NNS A34005 3154 78 be be VB A34005 3154 79 found find VBN A34005 3154 80 in in IN A34005 3154 81 the the DT A34005 3154 82 wall wall NN A34005 3154 83 or or CC A34005 3154 84 Cieling Cieling NNP A34005 3154 85 , , , A34005 3154 86 through through IN A34005 3154 87 which which WDT A34005 3154 88 the the DT A34005 3154 89 reflected reflect VBN A34005 3154 90 Azimuth Azimuth NNP A34005 3154 91 line line NN A34005 3154 92 must must MD A34005 3154 93 passe passe VB A34005 3154 94 , , , A34005 3154 95 as as IN A34005 3154 96 followeth followeth NNP A34005 3154 97 : : : A34005 3154 98 Take take VB A34005 3154 99 that that DT A34005 3154 100 thread thread NN A34005 3154 101 , , , A34005 3154 102 one one CD A34005 3154 103 end end NN A34005 3154 104 of of IN A34005 3154 105 which which WDT A34005 3154 106 is be VBZ A34005 3154 107 fastened fasten VBN A34005 3154 108 in in IN A34005 3154 109 the the DT A34005 3154 110 said say VBN A34005 3154 111 vertical vertical JJ A34005 3154 112 point point NN A34005 3154 113 , , , A34005 3154 114 and and CC A34005 3154 115 bring bring VB A34005 3154 116 it -PRON- PRP A34005 3154 117 just just RB A34005 3154 118 to to TO A34005 3154 119 touch touch VB A34005 3154 120 the the DT A34005 3154 121 Azimuth Azimuth NNP A34005 3154 122 thread thread NN A34005 3154 123 formerly formerly RB A34005 3154 124 fastened fasten VBD A34005 3154 125 , , , A34005 3154 126 and and CC A34005 3154 127 continue continue VB A34005 3154 128 it -PRON- PRP A34005 3154 129 until until IN A34005 3154 130 the the DT A34005 3154 131 end end NN A34005 3154 132 thereof thereof RB A34005 3154 133 touch touch VBP A34005 3154 134 the the DT A34005 3154 135 wall wall NN A34005 3154 136 or or CC A34005 3154 137 Cieling Cieling NNP A34005 3154 138 , , , A34005 3154 139 ( ( -LRB- A34005 3154 140 and and CC A34005 3154 141 also also RB A34005 3154 142 the the DT A34005 3154 143 thread thread NN A34005 3154 144 it -PRON- PRP A34005 3154 145 self self VBP A34005 3154 146 touch touch VBP A34005 3154 147 the the DT A34005 3154 148 said say VBD A34005 3154 149 Azimuth Azimuth NNP A34005 3154 150 it -PRON- PRP A34005 3154 151 self self NN A34005 3154 152 , , , A34005 3154 153 as as IN A34005 3154 154 before before RB A34005 3154 155 ) ) -RRB- A34005 3154 156 in in IN A34005 3154 157 which which WDT A34005 3154 158 point point NN A34005 3154 159 of of IN A34005 3154 160 touch touch NN A34005 3154 161 on on IN A34005 3154 162 the the DT A34005 3154 163 wall wall NN A34005 3154 164 or or CC A34005 3154 165 Cieling Cieling NNP A34005 3154 166 make make VBP A34005 3154 167 a a DT A34005 3154 168 mark mark NN A34005 3154 169 , , , A34005 3154 170 through through IN A34005 3154 171 which which WDT A34005 3154 172 point point NN A34005 3154 173 that that WDT A34005 3154 174 reflected reflect VBD A34005 3154 175 Azimuth Azimuth NNP A34005 3154 176 - - HYPH A34005 3154 177 line line NN A34005 3154 178 must must MD A34005 3154 179 passe passe VB A34005 3154 180 . . . A34005 3155 1 Then then RB A34005 3155 2 move move VB A34005 3155 3 the the DT A34005 3155 4 said say VBN A34005 3155 5 string string NN A34005 3155 6 fastened fasten VBN A34005 3155 7 in in IN A34005 3155 8 the the DT A34005 3155 9 said say VBN A34005 3155 10 vertical vertical JJ A34005 3155 11 point point NN A34005 3155 12 , , , A34005 3155 13 so so IN A34005 3155 14 that that IN A34005 3155 15 it -PRON- PRP A34005 3155 16 may may MD A34005 3155 17 just just RB A34005 3155 18 touch touch VB A34005 3155 19 the the DT A34005 3155 20 said said JJ A34005 3155 21 thread thread NN A34005 3155 22 again again RB A34005 3155 23 , , , A34005 3155 24 but but CC A34005 3155 25 in in IN A34005 3155 26 another another DT A34005 3155 27 place place NN A34005 3155 28 : : : A34005 3155 29 then then RB A34005 3155 30 as as IN A34005 3155 31 before before IN A34005 3155 32 continue continue VB A34005 3155 33 that that DT A34005 3155 34 thread thread NN A34005 3155 35 , , , A34005 3155 36 untill untill VB A34005 3155 37 the the DT A34005 3155 38 end end NN A34005 3155 39 thereof thereof RB A34005 3155 40 touch touch VB A34005 3155 41 the the DT A34005 3155 42 wall wall NN A34005 3155 43 or or CC A34005 3155 44 Cieling ciele VBG A34005 3155 45 again again RB A34005 3155 46 , , , A34005 3155 47 as as IN A34005 3155 48 before before RB A34005 3155 49 , , , A34005 3155 50 and and CC A34005 3155 51 there there EX A34005 3155 52 make make VB A34005 3155 53 another another DT A34005 3155 54 mark mark NN A34005 3155 55 , , , A34005 3155 56 through through IN A34005 3155 57 which which WDT A34005 3155 58 the the DT A34005 3155 59 said say VBD A34005 3155 60 reflected reflect VBN A34005 3155 61 Azimuth Azimuth NNP A34005 3155 62 line line NN A34005 3155 63 must must MD A34005 3155 64 also also RB A34005 3155 65 passe passe VB A34005 3155 66 ; ; : A34005 3155 67 In in IN A34005 3155 68 like like IN A34005 3155 69 manner manner NN A34005 3155 70 may may MD A34005 3155 71 more more JJR A34005 3155 72 points point NNS A34005 3155 73 be be VB A34005 3155 74 found find VBN A34005 3155 75 for for IN A34005 3155 76 your -PRON- PRP$ A34005 3155 77 further further JJ A34005 3155 78 guide guide NN A34005 3155 79 , , , A34005 3155 80 in in IN A34005 3155 81 drawing draw VBG A34005 3155 82 that that IN A34005 3155 83 Azimuth azimuth NN A34005 3155 84 - - HYPH A34005 3155 85 line line NN A34005 3155 86 . . . A34005 3156 1 But but CC A34005 3156 2 two two CD A34005 3156 3 points point NNS A34005 3156 4 being be VBG A34005 3156 5 found find VBN A34005 3156 6 will will MD A34005 3156 7 be be VB A34005 3156 8 sufficient sufficient JJ A34005 3156 9 . . . A34005 3157 1 To to TO A34005 3157 2 draw draw VB A34005 3157 3 any any DT A34005 3157 4 reflected reflected JJ A34005 3157 5 line line NN A34005 3157 6 by by IN A34005 3157 7 any any DT A34005 3157 8 two two CD A34005 3157 9 points point NNS A34005 3157 10 given give VBN A34005 3157 11 over over IN A34005 3157 12 any any DT A34005 3157 13 plane plane NN A34005 3157 14 whatsoever whatsoever RB A34005 3157 15 , , , A34005 3157 16 without without IN A34005 3157 17 projecting project VBG A34005 3157 18 by by IN A34005 3157 19 the the DT A34005 3157 20 eye eye NN A34005 3157 21 . . . A34005 3158 1 FAsten fasten RB A34005 3158 2 two two CD A34005 3158 3 threads thread NNS A34005 3158 4 in in IN A34005 3158 5 the the DT A34005 3158 6 place place NN A34005 3158 7 of of IN A34005 3158 8 the the DT A34005 3158 9 center center NN A34005 3158 10 of of IN A34005 3158 11 the the DT A34005 3158 12 said say VBD A34005 3158 13 reclining recline VBG A34005 3158 14 Glasse Glasse NNP A34005 3158 15 , , , A34005 3158 16 drawing draw VBG A34005 3158 17 the the DT A34005 3158 18 said say VBN A34005 3158 19 threads thread NNS A34005 3158 20 straight straight RB A34005 3158 21 , , , A34005 3158 22 fastening fasten VBG A34005 3158 23 each each DT A34005 3158 24 of of IN A34005 3158 25 the the DT A34005 3158 26 other other JJ A34005 3158 27 ends end NNS A34005 3158 28 in in IN A34005 3158 29 the the DT A34005 3158 30 two two CD A34005 3158 31 reflected reflect VBN A34005 3158 32 Azimuth Azimuth NNP A34005 3158 33 - - HYPH A34005 3158 34 points point NNS A34005 3158 35 formerly formerly RB A34005 3158 36 found find VBN A34005 3158 37 on on IN A34005 3158 38 the the DT A34005 3158 39 wall wall NN A34005 3158 40 or or CC A34005 3158 41 Cieling Cieling NNP A34005 3158 42 . . . A34005 3159 1 Then then RB A34005 3159 2 situate situate VB A34005 3159 3 a a DT A34005 3159 4 thread thread NN A34005 3159 5 cross cross NN A34005 3159 6 or or CC A34005 3159 7 thwart thwart VB A34005 3159 8 the the DT A34005 3159 9 room room NN A34005 3159 10 , , , A34005 3159 11 so so IN A34005 3159 12 as as IN A34005 3159 13 it -PRON- PRP A34005 3159 14 may may MD A34005 3159 15 crosse crosse VB A34005 3159 16 those those DT A34005 3159 17 other other JJ A34005 3159 18 threads thread NNS A34005 3159 19 from from IN A34005 3159 20 the the DT A34005 3159 21 center center NN A34005 3159 22 , , , A34005 3159 23 neer neer NN A34005 3159 24 at at IN A34005 3159 25 right right JJ A34005 3159 26 angles angle NNS A34005 3159 27 , , , A34005 3159 28 and and CC A34005 3159 29 also also RB A34005 3159 30 just just RB A34005 3159 31 touch touch VB A34005 3159 32 both both DT A34005 3159 33 of of IN A34005 3159 34 them -PRON- PRP A34005 3159 35 in in IN A34005 3159 36 that that DT A34005 3159 37 situation situation NN A34005 3159 38 . . . A34005 3160 1 By by IN A34005 3160 2 which which WDT A34005 3160 3 said say VBD A34005 3160 4 thread thread NN A34005 3160 5 crosse crosse NNP A34005 3160 6 the the DT A34005 3160 7 room room NN A34005 3160 8 may may MD A34005 3160 9 any any DT A34005 3160 10 number number NN A34005 3160 11 of of IN A34005 3160 12 points point NNS A34005 3160 13 in in IN A34005 3160 14 the the DT A34005 3160 15 said say VBD A34005 3160 16 reflected reflect VBN A34005 3160 17 Azimuth Azimuth NNP A34005 3160 18 - - HYPH A34005 3160 19 line line NN A34005 3160 20 to to TO A34005 3160 21 be be VB A34005 3160 22 drawn draw VBN A34005 3160 23 , , , A34005 3160 24 be be VB A34005 3160 25 found find VBN A34005 3160 26 at at IN A34005 3160 27 pleasure pleasure NN A34005 3160 28 : : : A34005 3160 29 For for IN A34005 3160 30 if if IN A34005 3160 31 the the DT A34005 3160 32 end end NN A34005 3160 33 of of IN A34005 3160 34 another another DT A34005 3160 35 thread thread NN A34005 3160 36 be be VB A34005 3160 37 also also RB A34005 3160 38 fastened fasten VBN A34005 3160 39 in in IN A34005 3160 40 the the DT A34005 3160 41 center center NN A34005 3160 42 of of IN A34005 3160 43 the the DT A34005 3160 44 said say VBD A34005 3160 45 Glasse Glasse NNP A34005 3160 46 , , , A34005 3160 47 making make VBG A34005 3160 48 the the DT A34005 3160 49 other other JJ A34005 3160 50 end end NN A34005 3160 51 thereof thereof RB A34005 3160 52 to to TO A34005 3160 53 touch touch VB A34005 3160 54 the the DT A34005 3160 55 wall wall NN A34005 3160 56 or or CC A34005 3160 57 Cieling Cieling NNP A34005 3160 58 , , , A34005 3160 59 but but CC A34005 3160 60 so so IN A34005 3160 61 that that IN A34005 3160 62 it -PRON- PRP A34005 3160 63 may may MD A34005 3160 64 also also RB A34005 3160 65 just just RB A34005 3160 66 touch touch VB A34005 3160 67 the the DT A34005 3160 68 said said JJ A34005 3160 69 thread thread NN A34005 3160 70 , , , A34005 3160 71 which which WDT A34005 3160 72 is be VBZ A34005 3160 73 fastened fasten VBN A34005 3160 74 crosse crosse NNP A34005 3160 75 the the DT A34005 3160 76 room room NN A34005 3160 77 , , , A34005 3160 78 which which WDT A34005 3160 79 point point NN A34005 3160 80 of of IN A34005 3160 81 touch touch NN A34005 3160 82 on on IN A34005 3160 83 the the DT A34005 3160 84 said say VBN A34005 3160 85 wall wall NN A34005 3160 86 or or CC A34005 3160 87 Cieling Cieling NNP A34005 3160 88 is be VBZ A34005 3160 89 another another DT A34005 3160 90 point point NN A34005 3160 91 in in IN A34005 3160 92 the the DT A34005 3160 93 said say VBD A34005 3160 94 reflected reflect VBN A34005 3160 95 Azimuth Azimuth NNP A34005 3160 96 line line NN A34005 3160 97 required require VBN A34005 3160 98 to to TO A34005 3160 99 be be VB A34005 3160 100 drawn draw VBN A34005 3160 101 . . . A34005 3161 1 In in IN A34005 3161 2 like like JJ A34005 3161 3 manner manner NN A34005 3161 4 may may MD A34005 3161 5 more more JJR A34005 3161 6 points point NNS A34005 3161 7 be be VB A34005 3161 8 found find VBN A34005 3161 9 at at IN A34005 3161 10 every every DT A34005 3161 11 angle angle NN A34005 3161 12 or or CC A34005 3161 13 bending bending NN A34005 3161 14 of of IN A34005 3161 15 the the DT A34005 3161 16 wall wall NN A34005 3161 17 or or CC A34005 3161 18 Cieling Cieling NNP A34005 3161 19 for for IN A34005 3161 20 the the DT A34005 3161 21 exacter exacter NN A34005 3161 22 drawing draw VBG A34005 3161 23 the the DT A34005 3161 24 reflected reflected JJ A34005 3161 25 Azimuth Azimuth NNP A34005 3161 26 line line NN A34005 3161 27 required require VBN A34005 3161 28 , , , A34005 3161 29 which which WDT A34005 3161 30 doth doth NN A34005 3161 31 find find VBP A34005 3161 32 points point NNS A34005 3161 33 , , , A34005 3161 34 whereby whereby WRB A34005 3161 35 is be VBZ A34005 3161 36 drawn draw VBN A34005 3161 37 the the DT A34005 3161 38 same same JJ A34005 3161 39 reflected reflect VBN A34005 3161 40 Azimuth Azimuth NNP A34005 3161 41 line line NN A34005 3161 42 ( ( -LRB- A34005 3161 43 or or CC A34005 3161 44 other other JJ A34005 3161 45 lines line NNS A34005 3161 46 ) ) -RRB- A34005 3161 47 as as IN A34005 3161 48 was be VBD A34005 3161 49 formerly formerly RB A34005 3161 50 done do VBN A34005 3161 51 by by IN A34005 3161 52 a a DT A34005 3161 53 thread thread NN A34005 3161 54 so so RB A34005 3161 55 situated situated JJ A34005 3161 56 , , , A34005 3161 57 that that IN A34005 3161 58 it -PRON- PRP A34005 3161 59 may may MD A34005 3161 60 interpose interpose VB A34005 3161 61 between between IN A34005 3161 62 the the DT A34005 3161 63 eye eye NN A34005 3161 64 and and CC A34005 3161 65 any any DT A34005 3161 66 two two CD A34005 3161 67 points point NNS A34005 3161 68 assigned assign VBN A34005 3161 69 on on IN A34005 3161 70 the the DT A34005 3161 71 wall wall NN A34005 3161 72 or or CC A34005 3161 73 Cieling Cieling NNP A34005 3161 74 . . . A34005 3162 1 In in IN A34005 3162 2 like like JJ A34005 3162 3 manner manner NN A34005 3162 4 , , , A34005 3162 5 if if IN A34005 3162 6 the the DT A34005 3162 7 thread thread NN A34005 3162 8 fastened fasten VBN A34005 3162 9 on on IN A34005 3162 10 the the DT A34005 3162 11 further further JJ A34005 3162 12 side side NN A34005 3162 13 of of IN A34005 3162 14 the the DT A34005 3162 15 room room NN A34005 3162 16 were be VBD A34005 3162 17 removed remove VBN A34005 3162 18 on on IN A34005 3162 19 another another DT A34005 3162 20 Azimuth Azimuth NNP A34005 3162 21 line line NN A34005 3162 22 on on IN A34005 3162 23 the the DT A34005 3162 24 said say VBN A34005 3162 25 pastboard pastboard NN A34005 3162 26 , , , A34005 3162 27 and and CC A34005 3162 28 then then RB A34005 3162 29 fasten fasten VB A34005 3162 30 it -PRON- PRP A34005 3162 31 again again RB A34005 3162 32 on on IN A34005 3162 33 the the DT A34005 3162 34 further further JJ A34005 3162 35 side side NN A34005 3162 36 of of IN A34005 3162 37 the the DT A34005 3162 38 room room NN A34005 3162 39 ( ( -LRB- A34005 3162 40 as as IN A34005 3162 41 before before RB A34005 3162 42 ) ) -RRB- A34005 3162 43 you -PRON- PRP A34005 3162 44 may may MD A34005 3162 45 by by IN A34005 3162 46 help help NN A34005 3162 47 of of IN A34005 3162 48 the the DT A34005 3162 49 said say VBN A34005 3162 50 thread thread NN A34005 3162 51 fastened fasten VBN A34005 3162 52 in in IN A34005 3162 53 the the DT A34005 3162 54 said say VBN A34005 3162 55 vertical vertical JJ A34005 3162 56 point point NN A34005 3162 57 find find VBP A34005 3162 58 several several JJ A34005 3162 59 points point NNS A34005 3162 60 on on IN A34005 3162 61 the the DT A34005 3162 62 wall wall NN A34005 3162 63 or or CC A34005 3162 64 Cieling Cieling NNP A34005 3162 65 , , , A34005 3162 66 through through IN A34005 3162 67 which which WDT A34005 3162 68 that that IN A34005 3162 69 Azimuth azimuth NN A34005 3162 70 - - HYPH A34005 3162 71 line line NN A34005 3162 72 will will MD A34005 3162 73 passe passe VB A34005 3162 74 ; ; : A34005 3162 75 So so CC A34005 3162 76 may may MD A34005 3162 77 you -PRON- PRP A34005 3162 78 either either CC A34005 3162 79 by by IN A34005 3162 80 this this DT A34005 3162 81 or or CC A34005 3162 82 the the DT A34005 3162 83 former former JJ A34005 3162 84 way way NN A34005 3162 85 draw draw VB A34005 3162 86 what what WP A34005 3162 87 Azimuth Azimuth NNP A34005 3162 88 lines line NNS A34005 3162 89 you -PRON- PRP A34005 3162 90 please please VBP A34005 3162 91 , , , A34005 3162 92 either either CC A34005 3162 93 in in IN A34005 3162 94 points point NNS A34005 3162 95 of of IN A34005 3162 96 the the DT A34005 3162 97 Mariners Mariners NNPS A34005 3162 98 Compasse Compasse NNP A34005 3162 99 or or CC A34005 3162 100 degrees degree NNS A34005 3162 101 , , , A34005 3162 102 as as IN A34005 3162 103 you -PRON- PRP A34005 3162 104 please please VBP A34005 3162 105 , , , A34005 3162 106 by by IN A34005 3162 107 drawing draw VBG A34005 3162 108 it -PRON- PRP A34005 3162 109 first first RB A34005 3162 110 on on IN A34005 3162 111 pastboard pastboard NN A34005 3162 112 , , , A34005 3162 113 as as IN A34005 3162 114 before before IN A34005 3162 115 is be VBZ A34005 3162 116 directed direct VBN A34005 3162 117 . . . A34005 3163 1 And and CC A34005 3163 2 note note VB A34005 3163 3 generally generally RB A34005 3163 4 , , , A34005 3163 5 that that IN A34005 3163 6 such such JJ A34005 3163 7 relation relation NN A34005 3163 8 the the DT A34005 3163 9 point point NN A34005 3163 10 found find VBN A34005 3163 11 on on IN A34005 3163 12 the the DT A34005 3163 13 floor floor NN A34005 3163 14 or or CC A34005 3163 15 ground ground NN A34005 3163 16 in in IN A34005 3163 17 the the DT A34005 3163 18 reflected reflect VBN A34005 3163 19 reversed reverse VBN A34005 3163 20 Axis Axis NNP A34005 3163 21 , , , A34005 3163 22 hath hath NN A34005 3163 23 to to IN A34005 3163 24 the the DT A34005 3163 25 hour hour NN A34005 3163 26 - - HYPH A34005 3163 27 lines line NNS A34005 3163 28 drawn draw VBN A34005 3163 29 on on IN A34005 3163 30 the the DT A34005 3163 31 Horizontal Horizontal NNP A34005 3163 32 Dial Dial NNP A34005 3163 33 , , , A34005 3163 34 in in IN A34005 3163 35 drawing draw VBG A34005 3163 36 the the DT A34005 3163 37 reflected reflected JJ A34005 3163 38 hour hour NN A34005 3163 39 - - HYPH A34005 3163 40 lines line NNS A34005 3163 41 ; ; : A34005 3163 42 The the DT A34005 3163 43 same same JJ A34005 3163 44 hath hath NN A34005 3163 45 the the DT A34005 3163 46 Reflected reflected JJ A34005 3163 47 vertical vertical JJ A34005 3163 48 point point NN A34005 3163 49 found find VBN A34005 3163 50 on on IN A34005 3163 51 the the DT A34005 3163 52 floor floor NN A34005 3163 53 or or CC A34005 3163 54 ground ground NN A34005 3163 55 , , , A34005 3163 56 to to IN A34005 3163 57 the the DT A34005 3163 58 Azimuths Azimuths NNPS A34005 3163 59 drawn draw VBN A34005 3163 60 on on IN A34005 3163 61 the the DT A34005 3163 62 pastboard pastboard NN A34005 3163 63 in in IN A34005 3163 64 drawing draw VBG A34005 3163 65 the the DT A34005 3163 66 reflected reflected JJ A34005 3163 67 Azimuth Azimuth NNP A34005 3163 68 - - HYPH A34005 3163 69 lines line NNS A34005 3163 70 . . . A34005 3164 1 To to TO A34005 3164 2 draw draw VB A34005 3164 3 the the DT A34005 3164 4 reflected reflect VBN A34005 3164 5 parallels parallel NNS A34005 3164 6 of of IN A34005 3164 7 the the DT A34005 3164 8 Suns Suns NNPS A34005 3164 9 altitude altitude NN A34005 3164 10 , , , A34005 3164 11 or or CC A34005 3164 12 proportions proportion NNS A34005 3164 13 of of IN A34005 3164 14 shadows shadow NNS A34005 3164 15 to to IN A34005 3164 16 any any DT A34005 3164 17 reclining recline VBG A34005 3164 18 Glasse Glasse NNP A34005 3164 19 on on IN A34005 3164 20 any any DT A34005 3164 21 Plane Plane NNP A34005 3164 22 whatsoever whatsoever RB A34005 3164 23 , , , A34005 3164 24 that that IN A34005 3164 25 the the DT A34005 3164 26 Sun Sun NNP A34005 3164 27 - - HYPH A34005 3164 28 beams beam NNS A34005 3164 29 will will MD A34005 3164 30 be be VB A34005 3164 31 reflected reflect VBN A34005 3164 32 on on IN A34005 3164 33 . . . A34005 3165 1 Here here RB A34005 3165 2 note note VB A34005 3165 3 , , , A34005 3165 4 that that IN A34005 3165 5 parallels parallel NNS A34005 3165 6 of of IN A34005 3165 7 Altitude altitude NN A34005 3165 8 are be VBP A34005 3165 9 lesser less JJR A34005 3165 10 Circles Circles NNP A34005 3165 11 , , , A34005 3165 12 therefore therefore RB A34005 3165 13 are be VBP A34005 3165 14 not not RB A34005 3165 15 represented represent VBN A34005 3165 16 by by IN A34005 3165 17 a a DT A34005 3165 18 right right JJ A34005 3165 19 line line NN A34005 3165 20 . . . A34005 3166 1 FIrst first RB A34005 3166 2 , , , A34005 3166 3 know know VB A34005 3166 4 generally generally RB A34005 3166 5 that that IN A34005 3166 6 what what WDT A34005 3166 7 respect respect VB A34005 3166 8 the the DT A34005 3166 9 parallels parallel NNS A34005 3166 10 of of IN A34005 3166 11 Declination Declination NNP A34005 3166 12 have have VB A34005 3166 13 to to IN A34005 3166 14 the the DT A34005 3166 15 hour hour NN A34005 3166 16 - - HYPH A34005 3166 17 lines line NNS A34005 3166 18 , , , A34005 3166 19 such such JJ A34005 3166 20 have have VBP A34005 3166 21 the the DT A34005 3166 22 parallels parallel NNS A34005 3166 23 of of IN A34005 3166 24 Altitude altitude NN A34005 3166 25 to to IN A34005 3166 26 the the DT A34005 3166 27 Azimuths azimuth NNS A34005 3166 28 . . . A34005 3167 1 For for IN A34005 3167 2 if if IN A34005 3167 3 one one CD A34005 3167 4 end end NN A34005 3167 5 of of IN A34005 3167 6 a a DT A34005 3167 7 thread thread NN A34005 3167 8 be be VB A34005 3167 9 fastened fasten VBN A34005 3167 10 in in IN A34005 3167 11 the the DT A34005 3167 12 place place NN A34005 3167 13 of of IN A34005 3167 14 the the DT A34005 3167 15 center center NN A34005 3167 16 of of IN A34005 3167 17 the the DT A34005 3167 18 reclining recline VBG A34005 3167 19 Glasse Glasse NNP A34005 3167 20 , , , A34005 3167 21 and and CC A34005 3167 22 the the DT A34005 3167 23 other other JJ A34005 3167 24 end end NN A34005 3167 25 moved move VBD A34005 3167 26 to to IN A34005 3167 27 and and CC A34005 3167 28 fro fro NNP A34005 3167 29 in in IN A34005 3167 30 any any DT A34005 3167 31 reflected reflect VBN A34005 3167 32 Azimuth Azimuth NNP A34005 3167 33 line line NN A34005 3167 34 , , , A34005 3167 35 until until IN A34005 3167 36 the the DT A34005 3167 37 said say VBN A34005 3167 38 thread thread NN A34005 3167 39 be be VB A34005 3167 40 elevated elevate VBN A34005 3167 41 any any DT A34005 3167 42 number number NN A34005 3167 43 of of IN A34005 3167 44 degrees degree NNS A34005 3167 45 proposed propose VBN A34005 3167 46 above above IN A34005 3167 47 the the DT A34005 3167 48 reflected reflect VBN A34005 3167 49 Horizon Horizon NNP A34005 3167 50 ( ( -LRB- A34005 3167 51 the the DT A34005 3167 52 Elevation Elevation NNP A34005 3167 53 of of IN A34005 3167 54 which which WDT A34005 3167 55 thread thread NN A34005 3167 56 being be VBG A34005 3167 57 found find VBN A34005 3167 58 , , , A34005 3167 59 by by IN A34005 3167 60 applying apply VBG A34005 3167 61 a a DT A34005 3167 62 Quadrant quadrant JJ A34005 3167 63 thereto thereto NN A34005 3167 64 , , , A34005 3167 65 and and CC A34005 3167 66 making make VBG A34005 3167 67 a a DT A34005 3167 68 mark mark NN A34005 3167 69 or or CC A34005 3167 70 point point NN A34005 3167 71 where where WRB A34005 3167 72 the the DT A34005 3167 73 end end NN A34005 3167 74 of of IN A34005 3167 75 the the DT A34005 3167 76 said say VBN A34005 3167 77 thread thread NN A34005 3167 78 toucheth toucheth NNP A34005 3167 79 the the DT A34005 3167 80 said say VBD A34005 3167 81 reflected reflect VBD A34005 3167 82 Azimuth Azimuth NNP A34005 3167 83 drawn draw VBN A34005 3167 84 on on IN A34005 3167 85 the the DT A34005 3167 86 wall wall NN A34005 3167 87 or or CC A34005 3167 88 Cieling Cieling NNP A34005 3167 89 , , , A34005 3167 90 that that DT A34005 3167 91 point point NN A34005 3167 92 so so RB A34005 3167 93 found find VBN A34005 3167 94 is be VBZ A34005 3167 95 the the DT A34005 3167 96 point point NN A34005 3167 97 through through IN A34005 3167 98 which which WDT A34005 3167 99 that that DT A34005 3167 100 Almican Almican NNP A34005 3167 101 ● ● . A34005 3167 102 er er UH A34005 3167 103 or or CC A34005 3167 104 reflected reflect VBN A34005 3167 105 parallel parallel NN A34005 3167 106 of of IN A34005 3167 107 the the DT A34005 3167 108 Suns Suns NNPS A34005 3167 109 altitude altitude NN A34005 3167 110 must must MD A34005 3167 111 passe passe VB A34005 3167 112 . . . A34005 3168 1 In in IN A34005 3168 2 like like JJ A34005 3168 3 manner manner NN A34005 3168 4 , , , A34005 3168 5 remove remove VB A34005 3168 6 the the DT A34005 3168 7 other other JJ A34005 3168 8 end end NN A34005 3168 9 of of IN A34005 3168 10 the the DT A34005 3168 11 said say VBN A34005 3168 12 thread thread NN A34005 3168 13 fastned fastne VBN A34005 3168 14 in in IN A34005 3168 15 the the DT A34005 3168 16 center center NN A34005 3168 17 of of IN A34005 3168 18 the the DT A34005 3168 19 Glasse Glasse NNP A34005 3168 20 to to IN A34005 3168 21 another another DT A34005 3168 22 reflected reflect VBN A34005 3168 23 Azimuth Azimuth NNP A34005 3168 24 - - HYPH A34005 3168 25 line line NN A34005 3168 26 , , , A34005 3168 27 and and CC A34005 3168 28 ( ( -LRB- A34005 3168 29 as as IN A34005 3168 30 before before RB A34005 3168 31 ) ) -RRB- A34005 3168 32 move move VB A34005 3168 33 it -PRON- PRP A34005 3168 34 higher higher RBR A34005 3168 35 or or CC A34005 3168 36 lower lower RBR A34005 3168 37 , , , A34005 3168 38 untill untill NN A34005 3168 39 by by IN A34005 3168 40 applying apply VBG A34005 3168 41 the the DT A34005 3168 42 edge edge NN A34005 3168 43 of of IN A34005 3168 44 a a DT A34005 3168 45 quadrant quadrant NN A34005 3168 46 to to IN A34005 3168 47 that that DT A34005 3168 48 thread thread NN A34005 3168 49 , , , A34005 3168 50 you -PRON- PRP A34005 3168 51 find find VBP A34005 3168 52 the the DT A34005 3168 53 said say VBN A34005 3168 54 thread thread NN A34005 3168 55 above above IN A34005 3168 56 the the DT A34005 3168 57 reflected reflect VBN A34005 3168 58 Horizon Horizon NNP A34005 3168 59 the the DT A34005 3168 60 same same JJ A34005 3168 61 number number NN A34005 3168 62 of of IN A34005 3168 63 degrees degree NNS A34005 3168 64 first first RB A34005 3168 65 proposed propose VBN A34005 3168 66 , , , A34005 3168 67 and and CC A34005 3168 68 at at IN A34005 3168 69 the the DT A34005 3168 70 end end NN A34005 3168 71 of of IN A34005 3168 72 the the DT A34005 3168 73 said say VBN A34005 3168 74 thread thread NN A34005 3168 75 in in IN A34005 3168 76 that that DT A34005 3168 77 Reflected Reflected NNP A34005 3168 78 Azimuth Azimuth NNP A34005 3168 79 - - HYPH A34005 3168 80 line line NN A34005 3168 81 drawn draw VBN A34005 3168 82 on on IN A34005 3168 83 the the DT A34005 3168 84 wall wall NN A34005 3168 85 or or CC A34005 3168 86 Cieling Cieling NNP A34005 3168 87 I -PRON- PRP A34005 3168 88 make make VBP A34005 3168 89 another another DT A34005 3168 90 mark mark NN A34005 3168 91 or or CC A34005 3168 92 point point NN A34005 3168 93 , , , A34005 3168 94 through through IN A34005 3168 95 which which WDT A34005 3168 96 the the DT A34005 3168 97 same same JJ A34005 3168 98 Reflected Reflected NNP A34005 3168 99 Almicanter Almicanter NNP A34005 3168 100 or or CC A34005 3168 101 parallel parallel NN A34005 3168 102 of of IN A34005 3168 103 Altitude altitude NN A34005 3168 104 must must MD A34005 3168 105 also also RB A34005 3168 106 passe passe VB A34005 3168 107 : : : A34005 3168 108 And and CC A34005 3168 109 so so RB A34005 3168 110 in in IN A34005 3168 111 like like UH A34005 3168 112 manner manner NN A34005 3168 113 I -PRON- PRP A34005 3168 114 find find VBP A34005 3168 115 a a DT A34005 3168 116 point point NN A34005 3168 117 on on IN A34005 3168 118 each each DT A34005 3168 119 reflected reflect VBN A34005 3168 120 Azimuth Azimuth NNP A34005 3168 121 - - HYPH A34005 3168 122 line line NN A34005 3168 123 , , , A34005 3168 124 through through IN A34005 3168 125 which which WDT A34005 3168 126 the the DT A34005 3168 127 same same JJ A34005 3168 128 parallel parallel NN A34005 3168 129 of of IN A34005 3168 130 Altitude altitude NN A34005 3168 131 must must MD A34005 3168 132 passe passe VB A34005 3168 133 . . . A34005 3169 1 Then then RB A34005 3169 2 drawing draw VBG A34005 3169 3 by by IN A34005 3169 4 hand hand NN A34005 3169 5 a a DT A34005 3169 6 line line NN A34005 3169 7 to to TO A34005 3169 8 passe passe VB A34005 3169 9 through through IN A34005 3169 10 these these DT A34005 3169 11 several several JJ A34005 3169 12 points point NNS A34005 3169 13 so so RB A34005 3169 14 found find VBN A34005 3169 15 , , , A34005 3169 16 as as IN A34005 3169 17 before before RB A34005 3169 18 , , , A34005 3169 19 that that DT A34005 3169 20 line line NN A34005 3169 21 is be VBZ A34005 3169 22 the the DT A34005 3169 23 Reflected reflected JJ A34005 3169 24 parallel parallel NN A34005 3169 25 of of IN A34005 3169 26 the the DT A34005 3169 27 Suns Suns NNPS A34005 3169 28 Altitude Altitude NNP A34005 3169 29 proposed propose VBD A34005 3169 30 . . . A34005 3170 1 In in IN A34005 3170 2 like like JJ A34005 3170 3 manner manner NN A34005 3170 4 may may MD A34005 3170 5 be be VB A34005 3170 6 drawn draw VBN A34005 3170 7 all all PDT A34005 3170 8 the the DT A34005 3170 9 other other JJ A34005 3170 10 parallels parallel NNS A34005 3170 11 of of IN A34005 3170 12 Altitude altitude NN A34005 3170 13 desired desire VBN A34005 3170 14 , , , A34005 3170 15 which which WDT A34005 3170 16 will will MD A34005 3170 17 shew shew VB A34005 3170 18 the the DT A34005 3170 19 Suns Suns NNPS A34005 3170 20 altitude altitude NN A34005 3170 21 or or CC A34005 3170 22 the the DT A34005 3170 23 Proportion proportion NN A34005 3170 24 of of IN A34005 3170 25 any any DT A34005 3170 26 shadow shadow NN A34005 3170 27 to to IN A34005 3170 28 its -PRON- PRP$ A34005 3170 29 altitude altitude NN A34005 3170 30 , , , A34005 3170 31 at at IN A34005 3170 32 any any DT A34005 3170 33 appearance appearance NN A34005 3170 34 of of IN A34005 3170 35 the the DT A34005 3170 36 Suns Suns NNP A34005 3170 37 reflex reflex NN A34005 3170 38 thereon thereon NN A34005 3170 39 . . . A34005 3171 1 To to TO A34005 3171 2 draw draw VB A34005 3171 3 the the DT A34005 3171 4 Jewish jewish JJ A34005 3171 5 or or CC A34005 3171 6 old old JJ A34005 3171 7 unequal unequal JJ A34005 3171 8 hour hour NN A34005 3171 9 - - HYPH A34005 3171 10 lines line NNS A34005 3171 11 to to IN A34005 3171 12 any any DT A34005 3171 13 Reclining Reclining NNP A34005 3171 14 Glasse Glasse NNP A34005 3171 15 on on IN A34005 3171 16 any any DT A34005 3171 17 plane plane NN A34005 3171 18 whatsoever whatsoever RB A34005 3171 19 that that IN A34005 3171 20 the the DT A34005 3171 21 Sun Sun NNP A34005 3171 22 - - HYPH A34005 3171 23 beams beam NNS A34005 3171 24 will will MD A34005 3171 25 be be VB A34005 3171 26 reflected reflect VBN A34005 3171 27 on on IN A34005 3171 28 . . . A34005 3172 1 Here here RB A34005 3172 2 note note VB A34005 3172 3 that that IN A34005 3172 4 the the DT A34005 3172 5 Jewish jewish JJ A34005 3172 6 hour hour NN A34005 3172 7 - - HYPH A34005 3172 8 lines line NNS A34005 3172 9 are be VBP A34005 3172 10 great great JJ A34005 3172 11 Circles circle NNS A34005 3172 12 . . . A34005 3173 1 FIrst first RB A34005 3173 2 , , , A34005 3173 3 ( ( -LRB- A34005 3173 4 by by IN A34005 3173 5 the the DT A34005 3173 6 Rules rule NNS A34005 3173 7 formerly formerly RB A34005 3173 8 given give VBN A34005 3173 9 ) ) -RRB- A34005 3173 10 draw draw VB A34005 3173 11 two two CD A34005 3173 12 reflected reflected JJ A34005 3173 13 parallels parallel NNS A34005 3173 14 of of IN A34005 3173 15 Declination declination NN A34005 3173 16 of of IN A34005 3173 17 16 16 CD A34005 3173 18 d. d. NNP A34005 3173 19 55′ 55′ CD A34005 3173 20 , , , A34005 3173 21 the the DT A34005 3173 22 one one NN A34005 3173 23 being be VBG A34005 3173 24 neer neer NN A34005 3173 25 the the DT A34005 3173 26 Summer Summer NNP A34005 3173 27 , , , A34005 3173 28 and and CC A34005 3173 29 the the DT A34005 3173 30 other other JJ A34005 3173 31 neer neer NN A34005 3173 32 the the DT A34005 3173 33 Winter Winter NNP A34005 3173 34 - - : A34005 3173 35 Tropick Tropick NNP A34005 3173 36 : : : A34005 3173 37 for for IN A34005 3173 38 when when WRB A34005 3173 39 the the DT A34005 3173 40 Sun Sun NNP A34005 3173 41 hath hath NN A34005 3173 42 that that IN A34005 3173 43 Declination Declination NNP A34005 3173 44 , , , A34005 3173 45 the the DT A34005 3173 46 day day NN A34005 3173 47 is be VBZ A34005 3173 48 15 15 CD A34005 3173 49 hours hour NNS A34005 3173 50 long long RB A34005 3173 51 in in IN A34005 3173 52 the the DT A34005 3173 53 Summer Summer NNP A34005 3173 54 , , , A34005 3173 55 and and CC A34005 3173 56 9 9 CD A34005 3173 57 in in IN A34005 3173 58 the the DT A34005 3173 59 winter winter NN A34005 3173 60 : : : A34005 3173 61 Then then RB A34005 3173 62 ( ( -LRB- A34005 3173 63 as as IN A34005 3173 64 is be VBZ A34005 3173 65 formerly formerly RB A34005 3173 66 directed direct VBN A34005 3173 67 ) ) -RRB- A34005 3173 68 situate situate VB A34005 3173 69 a a DT A34005 3173 70 thread thread NN A34005 3173 71 just just RB A34005 3173 72 between between IN A34005 3173 73 the the DT A34005 3173 74 eye eye NN A34005 3173 75 , , , A34005 3173 76 and and CC A34005 3173 77 those those DT A34005 3173 78 three three CD A34005 3173 79 points point NNS A34005 3173 80 in in IN A34005 3173 81 the the DT A34005 3173 82 said say VBD A34005 3173 83 Reflected Reflected NNP A34005 3173 84 Dial Dial NNP A34005 3173 85 , , , A34005 3173 86 as as IN A34005 3173 87 is be VBZ A34005 3173 88 expressed express VBN A34005 3173 89 in in IN A34005 3173 90 the the DT A34005 3173 91 insuing insue VBG A34005 3173 92 Table table NN A34005 3173 93 , , , A34005 3173 94 so so RB A34005 3173 95 may may MD A34005 3173 96 you -PRON- PRP A34005 3173 97 thereby thereby RB A34005 3173 98 draw draw VB A34005 3173 99 all all DT A34005 3173 100 or or CC A34005 3173 101 any any DT A34005 3173 102 of of IN A34005 3173 103 those those DT A34005 3173 104 Jewish jewish JJ A34005 3173 105 hour hour NN A34005 3173 106 - - HYPH A34005 3173 107 lines line NNS A34005 3173 108 desired desire VBD A34005 3173 109 , , , A34005 3173 110 which which WDT A34005 3173 111 will will MD A34005 3173 112 at at IN A34005 3173 113 any any DT A34005 3173 114 appearance appearance NN A34005 3173 115 of of IN A34005 3173 116 the the DT A34005 3173 117 spot spot NN A34005 3173 118 by by IN A34005 3173 119 the the DT A34005 3173 120 reflex reflex NN A34005 3173 121 of of IN A34005 3173 122 the the DT A34005 3173 123 Glasse Glasse NNP A34005 3173 124 amongst amongst IN A34005 3173 125 those those DT A34005 3173 126 hour hour NN A34005 3173 127 - - HYPH A34005 3173 128 lines line NNS A34005 3173 129 , , , A34005 3173 130 shew shew NNP A34005 3173 131 how how WRB A34005 3173 132 many many JJ A34005 3173 133 of of IN A34005 3173 134 the the DT A34005 3173 135 equal equal JJ A34005 3173 136 hours hour NNS A34005 3173 137 is be VBZ A34005 3173 138 past past JJ A34005 3173 139 since since IN A34005 3173 140 Sun Sun NNP A34005 3173 141 - - HYPH A34005 3173 142 rising rise VBG A34005 3173 143 , , , A34005 3173 144 as as IN A34005 3173 145 was be VBD A34005 3173 146 desired desire VBN A34005 3173 147 . . . A34005 3174 1 Now now RB A34005 3174 2 in in IN A34005 3174 3 this this DT A34005 3174 4 Latitude Latitude NNP A34005 3174 5 of of IN A34005 3174 6 51 51 CD A34005 3174 7 deg deg NN A34005 3174 8 . . . A34005 3175 1 30′ 30′ LS A34005 3175 2 , , , A34005 3175 3 If if IN A34005 3175 4 the the DT A34005 3175 5 parallels parallel NNS A34005 3175 6 of of IN A34005 3175 7 the the DT A34005 3175 8 Suns Suns NNPS A34005 3175 9 declination declination NN A34005 3175 10 be be VB A34005 3175 11 drawn draw VBN A34005 3175 12 , , , A34005 3175 13 both both CC A34005 3175 14 when when WRB A34005 3175 15 the the DT A34005 3175 16 day day NN A34005 3175 17 is be VBZ A34005 3175 18 9 9 CD A34005 3175 19 and and CC A34005 3175 20 15 15 CD A34005 3175 21 hours hour NNS A34005 3175 22 long long RB A34005 3175 23 , , , A34005 3175 24 that that RB A34005 3175 25 is is RB A34005 3175 26 , , , A34005 3175 27 when when WRB A34005 3175 28 it -PRON- PRP A34005 3175 29 is be VBZ A34005 3175 30 16 16 CD A34005 3175 31 d. d. NNP A34005 3175 32 55′ 55′ CD A34005 3175 33 , , , A34005 3175 34 any any DT A34005 3175 35 of of IN A34005 3175 36 those those DT A34005 3175 37 Jewish jewish JJ A34005 3175 38 hour hour NN A34005 3175 39 - - HYPH A34005 3175 40 lines line NNS A34005 3175 41 will will MD A34005 3175 42 intersect intersect VB A34005 3175 43 the the DT A34005 3175 44 common common JJ A34005 3175 45 hour hour NN A34005 3175 46 - - HYPH A34005 3175 47 lines line NNS A34005 3175 48 , , , A34005 3175 49 either either CC A34005 3175 50 upon upon IN A34005 3175 51 the the DT A34005 3175 52 hours hour NNS A34005 3175 53 , , , A34005 3175 54 half half NN A34005 3175 55 hours hour NNS A34005 3175 56 , , , A34005 3175 57 or or CC A34005 3175 58 quarters quarter NNS A34005 3175 59 . . . A34005 3176 1 And and CC A34005 3176 2 such such PDT A34005 3176 3 a a DT A34005 3176 4 declination declination NN A34005 3176 5 may may MD A34005 3176 6 be be VB A34005 3176 7 found find VBN A34005 3176 8 , , , A34005 3176 9 that that IN A34005 3176 10 it -PRON- PRP A34005 3176 11 shall shall MD A34005 3176 12 so so RB A34005 3176 13 do do VB A34005 3176 14 in in IN A34005 3176 15 any any DT A34005 3176 16 Latitude Latitude NNP A34005 3176 17 desired desire VBN A34005 3176 18 . . . A34005 3177 1 Unequal Unequal NNP A34005 3177 2 Hours hour NNS A34005 3177 3 . . . A34005 3178 1 15 15 CD A34005 3178 2 H. H. NNP A34005 3178 3 M M NNP A34005 3178 4 Equ Equ NNP A34005 3178 5 . . . A34005 3179 1 H. H. NNP A34005 3179 2 9 9 CD A34005 3179 3 H. H. NNP A34005 3179 4 M. M. NNP A34005 3179 5 0 0 CD A34005 3179 6 4 4 CD A34005 3179 7 30 30 CD A34005 3179 8 6 6 CD A34005 3179 9 7 7 CD A34005 3179 10 30 30 CD A34005 3179 11 1 1 CD A34005 3179 12 5 5 CD A34005 3179 13 45 45 CD A34005 3179 14 7 7 CD A34005 3179 15 8 8 CD A34005 3179 16 15 15 CD A34005 3179 17 2 2 CD A34005 3179 18 7 7 CD A34005 3179 19 00 00 CD A34005 3179 20 8 8 CD A34005 3179 21 9 9 CD A34005 3179 22 00 00 CD A34005 3179 23 3 3 CD A34005 3179 24 8 8 CD A34005 3179 25 15 15 CD A34005 3179 26 9 9 CD A34005 3179 27 9 9 CD A34005 3179 28 45 45 CD A34005 3179 29 4 4 CD A34005 3179 30 9 9 CD A34005 3179 31 30 30 CD A34005 3179 32 10 10 CD A34005 3179 33 10 10 CD A34005 3179 34 30 30 CD A34005 3179 35 5 5 CD A34005 3179 36 10 10 CD A34005 3179 37 45 45 CD A34005 3179 38 11 11 CD A34005 3179 39 11 11 CD A34005 3179 40 15 15 CD A34005 3179 41 6 6 CD A34005 3179 42 12 12 CD A34005 3179 43 00 00 CD A34005 3179 44 12 12 CD A34005 3179 45 12 12 CD A34005 3179 46 00 00 CD A34005 3179 47 Unequ unequ JJ A34005 3179 48 . . . A34005 3180 1 hours hour NNS A34005 3180 2 15 15 CD A34005 3180 3 H. H. NNP A34005 3180 4 M. M. NNP A34005 3180 5 Equ Equ NNP A34005 3180 6 . . . A34005 3181 1 H. H. NNP A34005 3181 2 9 9 CD A34005 3181 3 H. H. NNP A34005 3181 4 M. M. NNP A34005 3181 5                         _SP A34005 3181 6 7 7 CD A34005 3181 7 1 1 CD A34005 3181 8 15 15 CD A34005 3181 9 1 1 CD A34005 3181 10 0 0 CD A34005 3181 11 45 45 CD A34005 3181 12 8 8 CD A34005 3181 13 2 2 CD A34005 3181 14 30 30 CD A34005 3181 15 2 2 CD A34005 3181 16 1 1 CD A34005 3181 17 30 30 CD A34005 3181 18 9 9 CD A34005 3181 19 3 3 CD A34005 3181 20 45 45 CD A34005 3181 21 3 3 CD A34005 3181 22 2 2 CD A34005 3181 23 15 15 CD A34005 3181 24 10 10 CD A34005 3181 25 5 5 CD A34005 3181 26 00 00 CD A34005 3181 27 4 4 CD A34005 3181 28 3 3 CD A34005 3181 29 00 00 CD A34005 3181 30 11 11 CD A34005 3181 31 6 6 CD A34005 3181 32 15 15 CD A34005 3181 33 5 5 CD A34005 3181 34 3 3 CD A34005 3181 35 45 45 CD A34005 3181 36 12 12 CD A34005 3181 37 7 7 CD A34005 3181 38 30 30 CD A34005 3181 39 6 6 CD A34005 3181 40 4 4 CD A34005 3181 41 30 30 CD A34005 3181 42 To to TO A34005 3181 43 draw draw VB A34005 3181 44 the the DT A34005 3181 45 Circles circle NNS A34005 3181 46 of of IN A34005 3181 47 Position position NN A34005 3181 48 to to IN A34005 3181 49 any any DT A34005 3181 50 reclining recline VBG A34005 3181 51 Glasse Glasse NNP A34005 3181 52 on on IN A34005 3181 53 any any DT A34005 3181 54 plane plane NN A34005 3181 55 whatsoever whatsoever RB A34005 3181 56 , , , A34005 3181 57 that that IN A34005 3181 58 the the DT A34005 3181 59 Sun Sun NNP A34005 3181 60 - - HYPH A34005 3181 61 beams beam NNS A34005 3181 62 will will MD A34005 3181 63 be be VB A34005 3181 64 reflected reflect VBN A34005 3181 65 on on IN A34005 3181 66 . . . A34005 3182 1 NOte note VB A34005 3182 2 that that IN A34005 3182 3 all all DT A34005 3182 4 Circles circle NNS A34005 3182 5 of of IN A34005 3182 6 Position position NN A34005 3182 7 are be VBP A34005 3182 8 great great JJ A34005 3182 9 Circles circle NNS A34005 3182 10 of of IN A34005 3182 11 the the DT A34005 3182 12 Sphere Sphere NNP A34005 3182 13 , , , A34005 3182 14 and and CC A34005 3182 15 do do VB A34005 3182 16 alwayes alwaye NNS A34005 3182 17 intersect intersect VB A34005 3182 18 each each DT A34005 3182 19 other other JJ A34005 3182 20 in in IN A34005 3182 21 that that DT A34005 3182 22 point point NN A34005 3182 23 of of IN A34005 3182 24 the the DT A34005 3182 25 Reflected reflected JJ A34005 3182 26 meridian meridian NN A34005 3182 27 which which WDT A34005 3182 28 toucheth toucheth NNP A34005 3182 29 the the DT A34005 3182 30 Reflected Reflected NNP A34005 3182 31 Horizon Horizon NNP A34005 3182 32 , , , A34005 3182 33 which which WDT A34005 3182 34 may may MD A34005 3182 35 be be VB A34005 3182 36 called call VBN A34005 3182 37 the the DT A34005 3182 38 common common JJ A34005 3182 39 intersection intersection NN A34005 3182 40 ; ; : A34005 3182 41 which which WDT A34005 3182 42 said say VBD A34005 3182 43 Circles Circles NNP A34005 3182 44 of of IN A34005 3182 45 Position position NN A34005 3182 46 are be VBP A34005 3182 47 reckoned reckon VBN A34005 3182 48 upon upon IN A34005 3182 49 the the DT A34005 3182 50 Reflected Reflected NNP A34005 3182 51 Equinoctial Equinoctial NNP A34005 3182 52 both both DT A34005 3182 53 wayes waye NNS A34005 3182 54 from from IN A34005 3182 55 the the DT A34005 3182 56 said say VBN A34005 3182 57 meridian meridian NNP A34005 3182 58 down down RP A34005 3182 59 to to IN A34005 3182 60 the the DT A34005 3182 61 said say VBN A34005 3182 62 Horizon Horizon NNP A34005 3182 63 : : : A34005 3182 64 The the DT A34005 3182 65 Horizon Horizon NNP A34005 3182 66 Eastward Eastward NNP A34005 3182 67 being be VBG A34005 3182 68 the the DT A34005 3182 69 Cuspis Cuspis NNP A34005 3182 70 of of IN A34005 3182 71 the the DT A34005 3182 72 first first JJ A34005 3182 73 House House NNP A34005 3182 74 , , , A34005 3182 75 and and CC A34005 3182 76 the the DT A34005 3182 77 Horizon Horizon NNP A34005 3182 78 Westward Westward NNP A34005 3182 79 being be VBG A34005 3182 80 the the DT A34005 3182 81 Cuspis Cuspis NNP A34005 3182 82 of of IN A34005 3182 83 the the DT A34005 3182 84 seventh seventh JJ A34005 3182 85 House House NNP A34005 3182 86 ; ; : A34005 3182 87 and and CC A34005 3182 88 the the DT A34005 3182 89 Reflected Reflected NNP A34005 3182 90 meridian meridian VBP A34005 3182 91 the the DT A34005 3182 92 cuspis cuspis NN A34005 3182 93 of of IN A34005 3182 94 the the DT A34005 3182 95 tenth tenth JJ A34005 3182 96 House House NNP A34005 3182 97 . . . A34005 3183 1 So so RB A34005 3183 2 that that IN A34005 3183 3 those those DT A34005 3183 4 Meridian meridian JJ A34005 3183 5 - - HYPH A34005 3183 6 planes plane NNS A34005 3183 7 , , , A34005 3183 8 whose whose WP$ A34005 3183 9 Reclination reclination NN A34005 3183 10 is be VBZ A34005 3183 11 60 60 CD A34005 3183 12 degrees degree NNS A34005 3183 13 Westwards Westwards NNPS A34005 3183 14 , , , A34005 3183 15 ( ( -LRB- A34005 3183 16 being be VBG A34005 3183 17 measured measure VBN A34005 3183 18 from from IN A34005 3183 19 the the DT A34005 3183 20 meridian meridian NN A34005 3183 21 in in IN A34005 3183 22 the the DT A34005 3183 23 Equinoctial Equinoctial NNP A34005 3183 24 ) ) -RRB- A34005 3183 25 lies lie VBZ A34005 3183 26 in in IN A34005 3183 27 the the DT A34005 3183 28 Cuspis Cuspis NNP A34005 3183 29 of of IN A34005 3183 30 the the DT A34005 3183 31 eighth eighth JJ A34005 3183 32 House House NNP A34005 3183 33 , , , A34005 3183 34 and and CC A34005 3183 35 30 30 CD A34005 3183 36 degr degr NN A34005 3183 37 . . . A34005 3184 1 Westward Westward NNP A34005 3184 2 lies lie VBZ A34005 3184 3 in in IN A34005 3184 4 the the DT A34005 3184 5 Cuspis Cuspis NNP A34005 3184 6 of of IN A34005 3184 7 the the DT A34005 3184 8 ninth ninth JJ A34005 3184 9 house house NNP A34005 3184 10 , , , A34005 3184 11 and and CC A34005 3184 12 30 30 CD A34005 3184 13 deg deg NN A34005 3184 14 . . . A34005 3185 1 Eastward eastward RB A34005 3185 2 in in IN A34005 3185 3 the the DT A34005 3185 4 Cuspis Cuspis NNP A34005 3185 5 of of IN A34005 3185 6 the the DT A34005 3185 7 eleventh eleventh JJ A34005 3185 8 House House NNP A34005 3185 9 , , , A34005 3185 10 and and CC A34005 3185 11 60 60 CD A34005 3185 12 deg deg NN A34005 3185 13 . . . A34005 3186 1 Eastward eastward RB A34005 3186 2 in in IN A34005 3186 3 the the DT A34005 3186 4 Cuspis Cuspis NNP A34005 3186 5 of of IN A34005 3186 6 the the DT A34005 3186 7 twelfth twelfth JJ A34005 3186 8 House House NNP A34005 3186 9 : : : A34005 3186 10 which which WDT A34005 3186 11 are be VBP A34005 3186 12 all all PDT A34005 3186 13 the the DT A34005 3186 14 Houses Houses NNPS A34005 3186 15 above above IN A34005 3186 16 the the DT A34005 3186 17 Horizon Horizon NNP A34005 3186 18 . . . A34005 3187 1 Now now RB A34005 3187 2 to to TO A34005 3187 3 draw draw VB A34005 3187 4 any any DT A34005 3187 5 Circle Circle NNP A34005 3187 6 of of IN A34005 3187 7 Position Position NNP A34005 3187 8 , , , A34005 3187 9 or or CC A34005 3187 10 the the DT A34005 3187 11 Cuspis Cuspis NNP A34005 3187 12 of of IN A34005 3187 13 any any DT A34005 3187 14 House House NNP A34005 3187 15 on on IN A34005 3187 16 any any DT A34005 3187 17 Cieling Cieling NNP A34005 3187 18 or or CC A34005 3187 19 wall wall NN A34005 3187 20 to to IN A34005 3187 21 any any DT A34005 3187 22 reclining recline VBG A34005 3187 23 Glasse Glasse NNP A34005 3187 24 is be VBZ A34005 3187 25 done do VBN A34005 3187 26 as as IN A34005 3187 27 followeth followeth NNP A34005 3187 28 : : : A34005 3187 29 First first RB A34005 3187 30 , , , A34005 3187 31 fasten fasten RB A34005 3187 32 a a DT A34005 3187 33 thread thread NN A34005 3187 34 , , , A34005 3187 35 in in IN A34005 3187 36 such such JJ A34005 3187 37 sort sort NN A34005 3187 38 , , , A34005 3187 39 within within IN A34005 3187 40 the the DT A34005 3187 41 Room Room NNP A34005 3187 42 , , , A34005 3187 43 as as IN A34005 3187 44 that that IN A34005 3187 45 it -PRON- PRP A34005 3187 46 may may MD A34005 3187 47 interpose interpose VB A34005 3187 48 between between IN A34005 3187 49 the the DT A34005 3187 50 eye eye NN A34005 3187 51 and and CC A34005 3187 52 the the DT A34005 3187 53 said say VBD A34005 3187 54 common common JJ A34005 3187 55 point point NN A34005 3187 56 of of IN A34005 3187 57 intersection intersection NN A34005 3187 58 on on IN A34005 3187 59 the the DT A34005 3187 60 wall wall NN A34005 3187 61 or or CC A34005 3187 62 Cieling Cieling NNP A34005 3187 63 , , , A34005 3187 64 and and CC A34005 3187 65 also also RB A34005 3187 66 between between IN A34005 3187 67 that that DT A34005 3187 68 point point NN A34005 3187 69 where where WRB A34005 3187 70 the the DT A34005 3187 71 reflected reflected JJ A34005 3187 72 hour hour NN A34005 3187 73 - - HYPH A34005 3187 74 line line NN A34005 3187 75 of of IN A34005 3187 76 4 4 CD A34005 3187 77 ( ( -LRB- A34005 3187 78 being be VBG A34005 3187 79 60 60 CD A34005 3187 80 deg deg NN A34005 3187 81 . . . A34005 3188 1 Westward Westward NNP A34005 3188 2 from from IN A34005 3188 3 the the DT A34005 3188 4 said say VBN A34005 3188 5 Meridian Meridian NNP A34005 3188 6 ) ) -RRB- A34005 3188 7 intersects intersect VBZ A34005 3188 8 the the DT A34005 3188 9 reflected reflected JJ A34005 3188 10 Equinoctial Equinoctial NNP A34005 3188 11 also also RB A34005 3188 12 on on IN A34005 3188 13 the the DT A34005 3188 14 Cieling Cieling NNP A34005 3188 15 , , , A34005 3188 16 whereby whereby WRB A34005 3188 17 points point NNS A34005 3188 18 may may MD A34005 3188 19 be be VB A34005 3188 20 made make VBN A34005 3188 21 at at IN A34005 3188 22 every every DT A34005 3188 23 bending bending NN A34005 3188 24 or or CC A34005 3188 25 angle angle NN A34005 3188 26 of of IN A34005 3188 27 the the DT A34005 3188 28 wall wall NN A34005 3188 29 or or CC A34005 3188 30 Cieling Cieling NNP A34005 3188 31 , , , A34005 3188 32 to to TO A34005 3188 33 which which WDT A34005 3188 34 the the DT A34005 3188 35 thread thread NN A34005 3188 36 so so RB A34005 3188 37 situated situate VBN A34005 3188 38 may may MD A34005 3188 39 also also RB A34005 3188 40 interpose interpose VB A34005 3188 41 , , , A34005 3188 42 by by IN A34005 3188 43 which which WDT A34005 3188 44 points point VBZ A34005 3188 45 the the DT A34005 3188 46 Reflected Reflected NNP A34005 3188 47 Cuspis Cuspis NNP A34005 3188 48 of of IN A34005 3188 49 the the DT A34005 3188 50 eighth eighth JJ A34005 3188 51 House House NNP A34005 3188 52 may may MD A34005 3188 53 be be VB A34005 3188 54 drawn draw VBN A34005 3188 55 . . . A34005 3189 1 In in IN A34005 3189 2 like like JJ A34005 3189 3 manner manner NN A34005 3189 4 may may MD A34005 3189 5 the the DT A34005 3189 6 Cuspis Cuspis NNP A34005 3189 7 of of IN A34005 3189 8 any any DT A34005 3189 9 other other JJ A34005 3189 10 House House NNP A34005 3189 11 above above IN A34005 3189 12 the the DT A34005 3189 13 Horizon Horizon NNP A34005 3189 14 , , , A34005 3189 15 as as IN A34005 3189 16 the the DT A34005 3189 17 9 9 CD A34005 3189 18 th th NN A34005 3189 19 . . . A34005 3190 1 or or CC A34005 3190 2 10 10 CD A34005 3190 3 th th NN A34005 3190 4 . . . A34005 3191 1 which which WDT A34005 3191 2 is be VBZ A34005 3191 3 the the DT A34005 3191 4 Meridian Meridian NNP A34005 3191 5 ( ( -LRB- A34005 3191 6 or or CC A34005 3191 7 Medium Medium NNP A34005 3191 8 Coell Coell NNP A34005 3191 9 ) ) -RRB- A34005 3191 10 or or CC A34005 3191 11 11 11 CD A34005 3191 12 th th NN A34005 3191 13 . . . A34005 3192 1 or or CC A34005 3192 2 12 12 CD A34005 3192 3 th th NN A34005 3192 4 . . . A34005 3193 1 be be VB A34005 3193 2 drawn draw VBN A34005 3193 3 also also RB A34005 3193 4 . . . A34005 3194 1 For for IN A34005 3194 2 if if IN A34005 3194 3 ( ( -LRB- A34005 3194 4 as as IN A34005 3194 5 before before IN A34005 3194 6 ) ) -RRB- A34005 3194 7 the the DT A34005 3194 8 said say VBN A34005 3194 9 thread thread NN A34005 3194 10 be be VB A34005 3194 11 again again RB A34005 3194 12 so so RB A34005 3194 13 fastened fasten VBN A34005 3194 14 within within IN A34005 3194 15 the the DT A34005 3194 16 Room Room NNP A34005 3194 17 , , , A34005 3194 18 as as IN A34005 3194 19 that that IN A34005 3194 20 it -PRON- PRP A34005 3194 21 may may MD A34005 3194 22 also also RB A34005 3194 23 interpose interpose VB A34005 3194 24 between between IN A34005 3194 25 the the DT A34005 3194 26 eye eye NN A34005 3194 27 and and CC A34005 3194 28 the the DT A34005 3194 29 said say VBD A34005 3194 30 common common JJ A34005 3194 31 point point NN A34005 3194 32 of of IN A34005 3194 33 intersection intersection NN A34005 3194 34 , , , A34005 3194 35 and and CC A34005 3194 36 also also RB A34005 3194 37 those those DT A34005 3194 38 points point NNS A34005 3194 39 where where WRB A34005 3194 40 the the DT A34005 3194 41 reflected reflected JJ A34005 3194 42 hour hour NN A34005 3194 43 - - HYPH A34005 3194 44 line line NN A34005 3194 45 of of IN A34005 3194 46 2 2 CD A34005 3194 47 ( ( -LRB- A34005 3194 48 being be VBG A34005 3194 49 30 30 CD A34005 3194 50 deg deg NN A34005 3194 51 . . . A34005 3195 1 Westward Westward NNP A34005 3195 2 from from IN A34005 3195 3 the the DT A34005 3195 4 said say VBN A34005 3195 5 meridian meridian NNP A34005 3195 6 ) ) -RRB- A34005 3195 7 do do VBP A34005 3195 8 cut cut VB A34005 3195 9 the the DT A34005 3195 10 reflected reflect VBN A34005 3195 11 Equinoctial Equinoctial NNP A34005 3195 12 , , , A34005 3195 13 whereby whereby WRB A34005 3195 14 may may MD A34005 3195 15 be be VB A34005 3195 16 drawn draw VBN A34005 3195 17 the the DT A34005 3195 18 reflected reflect VBN A34005 3195 19 Cuspis Cuspis NNP A34005 3195 20 of of IN A34005 3195 21 the the DT A34005 3195 22 ninth ninth JJ A34005 3195 23 House House NNP A34005 3195 24 . . . A34005 3196 1 Or or CC A34005 3196 2 where where WRB A34005 3196 3 the the DT A34005 3196 4 Reflected reflected JJ A34005 3196 5 hour hour NN A34005 3196 6 - - HYPH A34005 3196 7 line line NN A34005 3196 8 of of IN A34005 3196 9 10 10 CD A34005 3196 10 ( ( -LRB- A34005 3196 11 being be VBG A34005 3196 12 also also RB A34005 3196 13 30 30 CD A34005 3196 14 deg deg NN A34005 3196 15 . . . A34005 3197 1 Eastward eastward RB A34005 3197 2 from from IN A34005 3197 3 the the DT A34005 3197 4 meridian meridian NN A34005 3197 5 ) ) -RRB- A34005 3197 6 do do VBP A34005 3197 7 also also RB A34005 3197 8 cut cut VB A34005 3197 9 the the DT A34005 3197 10 said say VBD A34005 3197 11 reflected reflect VBN A34005 3197 12 Equinoctial Equinoctial NNP A34005 3197 13 , , , A34005 3197 14 whereby whereby WRB A34005 3197 15 may may MD A34005 3197 16 be be VB A34005 3197 17 drawn draw VBN A34005 3197 18 the the DT A34005 3197 19 Cuspis Cuspis NNP A34005 3197 20 of of IN A34005 3197 21 the the DT A34005 3197 22 11 11 CD A34005 3197 23 th th NN A34005 3197 24 . . . A34005 3198 1 House House NNP A34005 3198 2 . . . A34005 3199 1 Or or CC A34005 3199 2 where where WRB A34005 3199 3 the the DT A34005 3199 4 reflected reflected JJ A34005 3199 5 hour hour NN A34005 3199 6 - - HYPH A34005 3199 7 line line NN A34005 3199 8 of of IN A34005 3199 9 8 8 CD A34005 3199 10 ( ( -LRB- A34005 3199 11 being be VBG A34005 3199 12 60 60 CD A34005 3199 13 deg deg NN A34005 3199 14 . . . A34005 3200 1 Eastward eastward RB A34005 3200 2 from from IN A34005 3200 3 the the DT A34005 3200 4 meridian meridian NN A34005 3200 5 ) ) -RRB- A34005 3200 6 do do VBP A34005 3200 7 also also RB A34005 3200 8 cut cut VB A34005 3200 9 the the DT A34005 3200 10 said say VBD A34005 3200 11 reflected reflect VBN A34005 3200 12 Equinoctial Equinoctial NNP A34005 3200 13 , , , A34005 3200 14 whereby whereby WRB A34005 3200 15 may may MD A34005 3200 16 be be VB A34005 3200 17 drawn draw VBN A34005 3200 18 the the DT A34005 3200 19 Cuspis Cuspis NNP A34005 3200 20 of of IN A34005 3200 21 the the DT A34005 3200 22 12 12 CD A34005 3200 23 th th NN A34005 3200 24 . . . A34005 3201 1 House House NNP A34005 3201 2 . . . A34005 3202 1 The the DT A34005 3202 2 Horizon Horizon NNP A34005 3202 3 alwayes alwaye NNS A34005 3202 4 being be VBG A34005 3202 5 the the DT A34005 3202 6 Cuspis Cuspis NNP A34005 3202 7 of of IN A34005 3202 8 the the DT A34005 3202 9 first first JJ A34005 3202 10 and and CC A34005 3202 11 seventh seventh JJ A34005 3202 12 Houses Houses NNPS A34005 3202 13 , , , A34005 3202 14 and and CC A34005 3202 15 the the DT A34005 3202 16 meridian meridian NN A34005 3202 17 the the DT A34005 3202 18 Cuspis Cuspis NNP A34005 3202 19 of of IN A34005 3202 20 the the DT A34005 3202 21 tenth tenth JJ A34005 3202 22 house house NN A34005 3202 23 or or CC A34005 3202 24 Medium Medium NNP A34005 3202 25 Coeli Coeli NNP A34005 3202 26 : : : A34005 3202 27 wherein wherein WRB A34005 3202 28 generally generally RB A34005 3202 29 it -PRON- PRP A34005 3202 30 is be VBZ A34005 3202 31 to to TO A34005 3202 32 be be VB A34005 3202 33 noted note VBN A34005 3202 34 , , , A34005 3202 35 That that IN A34005 3202 36 in in IN A34005 3202 37 all all DT A34005 3202 38 planes plane NNS A34005 3202 39 which which WDT A34005 3202 40 cut cut VBD A34005 3202 41 the the DT A34005 3202 42 common common JJ A34005 3202 43 Intersection intersection NN A34005 3202 44 of of IN A34005 3202 45 the the DT A34005 3202 46 meridian meridian NNP A34005 3202 47 and and CC A34005 3202 48 Horizon Horizon NNP A34005 3202 49 , , , A34005 3202 50 ( ( -LRB- A34005 3202 51 as as IN A34005 3202 52 doth doth JJ A34005 3202 53 the the DT A34005 3202 54 Horizontal Horizontal NNP A34005 3202 55 , , , A34005 3202 56 and and CC A34005 3202 57 also also RB A34005 3202 58 all all DT A34005 3202 59 meridian meridian JJ A34005 3202 60 planes plane NNS A34005 3202 61 both both CC A34005 3202 62 Direct Direct NNP A34005 3202 63 and and CC A34005 3202 64 Reclining reclining NN A34005 3202 65 ) ) -RRB- A34005 3202 66 these these DT A34005 3202 67 Circles circle NNS A34005 3202 68 of of IN A34005 3202 69 Position position NN A34005 3202 70 are be VBP A34005 3202 71 all all DT A34005 3202 72 parallel parallel JJ A34005 3202 73 to to IN A34005 3202 74 the the DT A34005 3202 75 meridian meridian NN A34005 3202 76 , , , A34005 3202 77 and and CC A34005 3202 78 therefore therefore RB A34005 3202 79 parallel parallel VB A34005 3202 80 each each DT A34005 3202 81 to to IN A34005 3202 82 other other JJ A34005 3202 83 . . . A34005 3203 1 For for IN A34005 3203 2 look look VB A34005 3203 3 what what WDT A34005 3203 4 respect respect NN A34005 3203 5 the the DT A34005 3203 6 hour hour NN A34005 3203 7 - - HYPH A34005 3203 8 lines line NNS A34005 3203 9 in in IN A34005 3203 10 all all DT A34005 3203 11 Direct direct JJ A34005 3203 12 or or CC A34005 3203 13 Reclining Reclining NNP A34005 3203 14 Polar Polar NNP A34005 3203 15 Planes Planes NNPS A34005 3203 16 , , , A34005 3203 17 or or CC A34005 3203 18 Direct direct JJ A34005 3203 19 meridian meridian NN A34005 3203 20 Planes plane NNS A34005 3203 21 have have VBP A34005 3203 22 to to IN A34005 3203 23 the the DT A34005 3203 24 Axis Axis NNP A34005 3203 25 of of IN A34005 3203 26 the the DT A34005 3203 27 World World NNP A34005 3203 28 : : : A34005 3203 29 Such such JJ A34005 3203 30 respect respect NN A34005 3203 31 have have VBP A34005 3203 32 the the DT A34005 3203 33 Circles Circles NNP A34005 3203 34 of of IN A34005 3203 35 Position Position NNP A34005 3203 36 , , , A34005 3203 37 in in IN A34005 3203 38 all all DT A34005 3203 39 Horizontal horizontal JJ A34005 3203 40 , , , A34005 3203 41 or or CC A34005 3203 42 Direct direct JJ A34005 3203 43 meridian meridian NN A34005 3203 44 or or CC A34005 3203 45 Reclining Reclining NNP A34005 3203 46 meridian meridian JJ A34005 3203 47 Planes Planes NNP A34005 3203 48 , , , A34005 3203 49 to to IN A34005 3203 50 the the DT A34005 3203 51 Axis Axis NNP A34005 3203 52 of of IN A34005 3203 53 the the DT A34005 3203 54 Prime Prime NNP A34005 3203 55 vertical vertical NN A34005 3203 56 : : : A34005 3203 57 For for IN A34005 3203 58 as as IN A34005 3203 59 the the DT A34005 3203 60 hour hour NN A34005 3203 61 - - HYPH A34005 3203 62 lines line NNS A34005 3203 63 in in IN A34005 3203 64 the the DT A34005 3203 65 first first JJ A34005 3203 66 are be VBP A34005 3203 67 all all DT A34005 3203 68 parallel parallel JJ A34005 3203 69 to to IN A34005 3203 70 the the DT A34005 3203 71 Axis Axis NNP A34005 3203 72 of of IN A34005 3203 73 the the DT A34005 3203 74 Equinoctial equinoctial JJ A34005 3203 75 , , , A34005 3203 76 in in IN A34005 3203 77 whose whose WP$ A34005 3203 78 Poles Poles NNPS A34005 3203 79 they -PRON- PRP A34005 3203 80 meet meet VBP A34005 3203 81 : : : A34005 3203 82 So so CC A34005 3203 83 the the DT A34005 3203 84 Circles circle NNS A34005 3203 85 of of IN A34005 3203 86 Position position NN A34005 3203 87 in in IN A34005 3203 88 the the DT A34005 3203 89 second second JJ A34005 3203 90 are be VBP A34005 3203 91 all all DT A34005 3203 92 parallel parallel JJ A34005 3203 93 to to IN A34005 3203 94 the the DT A34005 3203 95 Axis Axis NNP A34005 3203 96 of of IN A34005 3203 97 the the DT A34005 3203 98 Prime Prime NNP A34005 3203 99 Vertical Vertical NNP A34005 3203 100 , , , A34005 3203 101 in in IN A34005 3203 102 whose whose WP$ A34005 3203 103 Poles Poles NNPS A34005 3203 104 they -PRON- PRP A34005 3203 105 also also RB A34005 3203 106 meet meet VBP A34005 3203 107 . . . A34005 3204 1 The the DT A34005 3204 2 reason reason NN A34005 3204 3 why why WRB A34005 3204 4 Glasses glass NNS A34005 3204 5 reflect reflect VBP A34005 3204 6 a a DT A34005 3204 7 double double JJ A34005 3204 8 Spot Spot NNP A34005 3204 9 , , , A34005 3204 10 is be VBZ A34005 3204 11 because because IN A34005 3204 12 they -PRON- PRP A34005 3204 13 are be VBP A34005 3204 14 polisht polisht VBN A34005 3204 15 on on IN A34005 3204 16 both both DT A34005 3204 17 sides side NNS A34005 3204 18 , , , A34005 3204 19 which which WDT A34005 3204 20 may may MD A34005 3204 21 be be VB A34005 3204 22 remedied remedie VBN A34005 3204 23 with with IN A34005 3204 24 a a DT A34005 3204 25 Pumex Pumex NNP A34005 3204 26 - - HYPH A34005 3204 27 stone stone NNP A34005 3204 28 . . . A34005 3205 1 Those those DT A34005 3205 2 that that WDT A34005 3205 3 desire desire VBP A34005 3205 4 to to TO A34005 3205 5 read read VB A34005 3205 6 more more JJR A34005 3205 7 of of IN A34005 3205 8 this this DT A34005 3205 9 Subject Subject NNP A34005 3205 10 may may MD A34005 3205 11 see see VB A34005 3205 12 what what WP A34005 3205 13 is be VBZ A34005 3205 14 written write VBN A34005 3205 15 by by IN A34005 3205 16 Kircher Kircher NNP A34005 3205 17 , , , A34005 3205 18 in in IN A34005 3205 19 primitiis primitiis JJ A34005 3205 20 Gnomicae Gnomicae NNP A34005 3205 21 Catoptricae Catoptricae NNP A34005 3205 22 , , , A34005 3205 23 and and CC A34005 3205 24 since since IN A34005 3205 25 him -PRON- PRP A34005 3205 26 by by IN A34005 3205 27 Magnan Magnan NNP A34005 3205 28 and and CC A34005 3205 29 others other NNS A34005 3205 30 , , , A34005 3205 31 VALE VALE NNP A34005 3205 32 . . . A34005 3206 1 FINIS FINIS NNP A34005 3206 2 . . .