id sid tid token lemma pos A33999 1 1 Geometrical geometrical JJ A33999 1 2 dyalling dyalle VBG A33999 1 3 , , , A33999 1 4 or or CC A33999 1 5 , , , A33999 1 6 Dyalling dyalle VBG A33999 1 7 performed perform VBN A33999 1 8 by by IN A33999 1 9 a a DT A33999 1 10 line line NN A33999 1 11 of of IN A33999 1 12 chords chord NNS A33999 1 13 onely onely RB A33999 1 14 , , , A33999 1 15 or or CC A33999 1 16 by by IN A33999 1 17 the the DT A33999 1 18 plain plain JJ A33999 1 19 scale scale NN A33999 1 20 wherein wherein WRB A33999 1 21 is be VBZ A33999 1 22 contained contain VBN A33999 1 23 two two CD A33999 1 24 several several JJ A33999 1 25 methods method NNS A33999 1 26 of of IN A33999 1 27 inscribing inscribe VBG A33999 1 28 the the DT A33999 1 29 hour hour NN A33999 1 30 - - HYPH A33999 1 31 lines line NNS A33999 1 32 in in IN A33999 1 33 all all DT A33999 1 34 plains plain NNS A33999 1 35 , , , A33999 1 36 with with IN A33999 1 37 the the DT A33999 1 38 substile substile JJ A33999 1 39 , , , A33999 1 40 stile stile NNP A33999 1 41 and and CC A33999 1 42 meridian meridian NNP A33999 1 43 , , , A33999 1 44 in in IN A33999 1 45 their -PRON- PRP$ A33999 1 46 proper proper JJ A33999 1 47 coasts coast NNS A33999 1 48 and and CC A33999 1 49 quantities quantity NNS A33999 1 50 : : : A33999 1 51 being be VBG A33999 1 52 a a DT A33999 1 53 full full JJ A33999 1 54 explication explication NN A33999 1 55 and and CC A33999 1 56 demonstration demonstration NN A33999 1 57 of of IN A33999 1 58 divers diver NNS A33999 1 59 difficulties difficulty NNS A33999 1 60 in in IN A33999 1 61 the the DT A33999 1 62 works work NNS A33999 1 63 of of IN A33999 1 64 learned learn VBD A33999 1 65 Mr. Mr. NNP A33999 1 66 Samuel Samuel NNP A33999 1 67 Foster Foster NNP A33999 1 68 deceased decease VBD A33999 1 69 ... ... : A33999 1 70 : : : A33999 1 71 whereto whereto NN A33999 1 72 is be VBZ A33999 1 73 added add VBN A33999 1 74 four four CD A33999 1 75 new new JJ A33999 1 76 methods method NNS A33999 1 77 of of IN A33999 1 78 calculation calculation NN A33999 1 79 , , , A33999 1 80 for for IN A33999 1 81 finding find VBG A33999 1 82 the the DT A33999 1 83 requisites requisite NNS A33999 1 84 in in IN A33999 1 85 all all DT A33999 1 86 leaning lean VBG A33999 1 87 plains plain NNS A33999 1 88 ... ... : A33999 1 89 : : : A33999 1 90 also also RB A33999 1 91 how how WRB A33999 1 92 by by IN A33999 1 93 projecting project VBG A33999 1 94 the the DT A33999 1 95 sphere sphere NN A33999 1 96 , , , A33999 1 97 to to TO A33999 1 98 measure measure VB A33999 1 99 off off RP A33999 1 100 all all PDT A33999 1 101 the the DT A33999 1 102 arks ark NNS A33999 1 103 found find VBN A33999 1 104 by by IN A33999 1 105 calculation calculation NN A33999 1 106 ... ... NFP A33999 1 107 : : : A33999 1 108 lastly lastly RB A33999 1 109 , , , A33999 1 110 the the DT A33999 1 111 making making NN A33999 1 112 of of IN A33999 1 113 dyals dyal NNS A33999 1 114 from from IN A33999 1 115 three three CD A33999 1 116 shadows shadow NNS A33999 1 117 of of IN A33999 1 118 a a DT A33999 1 119 gnomon gnomon NN A33999 1 120 ... ... : A33999 1 121 / / , A33999 1 122 written write VBN A33999 1 123 by by IN A33999 1 124 John John NNP A33999 1 125 Collins Collins NNP A33999 1 126 ... ... : A33999 1 127 Collins Collins NNP A33999 1 128 , , , A33999 1 129 John John NNP A33999 1 130 , , , A33999 1 131 1625 1625 CD A33999 1 132 - - SYM A33999 1 133 1683 1683 CD A33999 1 134 . . . A33999 2 1 This this DT A33999 2 2 text text NN A33999 2 3 is be VBZ A33999 2 4 an an DT A33999 2 5 enriched enriched JJ A33999 2 6 version version NN A33999 2 7 of of IN A33999 2 8 the the DT A33999 2 9 TCP TCP NNP A33999 2 10 digital digital JJ A33999 2 11 transcription transcription NN A33999 2 12 A33999 a33999 NN A33999 2 13 of of IN A33999 2 14 text text NN A33999 2 15 R17003 r17003 NN A33999 2 16 in in IN A33999 2 17 the the DT A33999 2 18 English English NNP A33999 2 19 Short Short NNP A33999 2 20 Title Title NNP A33999 2 21 Catalog Catalog NNP A33999 2 22 ( ( -LRB- A33999 2 23 Wing Wing NNP A33999 2 24 C5373 C5373 NNP A33999 2 25 ) ) -RRB- A33999 2 26 . . . A33999 3 1 Textual textual JJ A33999 3 2 changes change NNS A33999 3 3 and and CC A33999 3 4 metadata metadata NN A33999 3 5 enrichments enrichment NNS A33999 3 6 aim aim VBP A33999 3 7 at at IN A33999 3 8 making make VBG A33999 3 9 the the DT A33999 3 10 text text NN A33999 3 11 more more RBR A33999 3 12 computationally computationally RB A33999 3 13 tractable tractable JJ A33999 3 14 , , , A33999 3 15 easier easy JJR A33999 3 16 to to TO A33999 3 17 read read VB A33999 3 18 , , , A33999 3 19 and and CC A33999 3 20 suitable suitable JJ A33999 3 21 for for IN A33999 3 22 network network NN A33999 3 23 - - HYPH A33999 3 24 based base VBN A33999 3 25 collaborative collaborative JJ A33999 3 26 curation curation NN A33999 3 27 by by IN A33999 3 28 amateur amateur NN A33999 3 29 and and CC A33999 3 30 professional professional JJ A33999 3 31 end end NN A33999 3 32 users user NNS A33999 3 33 from from IN A33999 3 34 many many JJ A33999 3 35 walks walk NNS A33999 3 36 of of IN A33999 3 37 life life NN A33999 3 38 . . . A33999 4 1 The the DT A33999 4 2 text text NN A33999 4 3 has have VBZ A33999 4 4 been be VBN A33999 4 5 tokenized tokenize VBN A33999 4 6 and and CC A33999 4 7 linguistically linguistically RB A33999 4 8 annotated annotate VBN A33999 4 9 with with IN A33999 4 10 MorphAdorner MorphAdorner NNP A33999 4 11 . . . A33999 5 1 The the DT A33999 5 2 annotation annotation NN A33999 5 3 includes include VBZ A33999 5 4 standard standard JJ A33999 5 5 spellings spelling NNS A33999 5 6 that that WDT A33999 5 7 support support VBP A33999 5 8 the the DT A33999 5 9 display display NN A33999 5 10 of of IN A33999 5 11 a a DT A33999 5 12 text text NN A33999 5 13 in in IN A33999 5 14 a a DT A33999 5 15 standardized standardized JJ A33999 5 16 format format NN A33999 5 17 that that WDT A33999 5 18 preserves preserve VBZ A33999 5 19 archaic archaic NNP A33999 5 20 forms form NNS A33999 5 21 ( ( -LRB- A33999 5 22 ' ' `` A33999 5 23 loveth loveth NNP A33999 5 24 ' ' '' A33999 5 25 , , , A33999 5 26 ' ' `` A33999 5 27 seekest seek JJS A33999 5 28 ' ' '' A33999 5 29 ) ) -RRB- A33999 5 30 . . . A33999 6 1 Textual textual JJ A33999 6 2 changes change NNS A33999 6 3 aim aim VBP A33999 6 4 at at IN A33999 6 5 restoring restore VBG A33999 6 6 the the DT A33999 6 7 text text NN A33999 6 8 the the DT A33999 6 9 author author NN A33999 6 10 or or CC A33999 6 11 stationer stationer NN A33999 6 12 meant mean VBN A33999 6 13 to to TO A33999 6 14 publish publish VB A33999 6 15 . . . A33999 7 1 This this DT A33999 7 2 text text NN A33999 7 3 has have VBZ A33999 7 4 not not RB A33999 7 5 been be VBN A33999 7 6 fully fully RB A33999 7 7 proofread proofread VB A33999 7 8 Approx Approx NNP A33999 7 9 . . . A33999 8 1 180 180 CD A33999 8 2 KB kb NN A33999 8 3 of of IN A33999 8 4 XML xml NN A33999 8 5 - - HYPH A33999 8 6 encoded encode VBN A33999 8 7 text text NN A33999 8 8 transcribed transcribe VBN A33999 8 9 from from IN A33999 8 10 64 64 CD A33999 8 11 1-bit 1-bit CD A33999 8 12 group group NN A33999 8 13 - - HYPH A33999 8 14 IV IV NNP A33999 8 15 TIFF TIFF NNP A33999 8 16 page page NN A33999 8 17 images image NNS A33999 8 18 . . . A33999 9 1 EarlyPrint EarlyPrint NNP A33999 9 2 Project Project NNP A33999 9 3 Evanston Evanston NNP A33999 9 4 , , , A33999 9 5 IL IL NNP A33999 9 6 , , , A33999 9 7 Notre Notre NNP A33999 9 8 Dame Dame NNP A33999 9 9 , , , A33999 9 10 IN IN NNP A33999 9 11 , , , A33999 9 12 St. St. NNP A33999 9 13 Louis Louis NNP A33999 9 14 , , , A33999 9 15 MO MO NNP A33999 9 16 2017 2017 CD A33999 9 17 A33999 A33999 NNP A33999 9 18 Wing Wing NNP A33999 9 19 C5373 C5373 NNP A33999 9 20 ESTC ESTC NNP A33999 9 21 R17003 r17003 NN A33999 9 22 12394868 12394868 CD A33999 9 23 ocm ocm NNP A33999 9 24 12394868 12394868 CD A33999 9 25 61099 61099 CD A33999 9 26 This this DT A33999 9 27 keyboarded keyboarded JJ A33999 9 28 and and CC A33999 9 29 encoded encode VBD A33999 9 30 edition edition NN A33999 9 31 of of IN A33999 9 32 the the DT A33999 9 33 work work NN A33999 9 34 described describe VBN A33999 9 35 above above RB A33999 9 36 is be VBZ A33999 9 37 co co VBN A33999 9 38 - - VBN A33999 9 39 owned own VBN A33999 9 40 by by IN A33999 9 41 the the DT A33999 9 42 institutions institution NNS A33999 9 43 providing provide VBG A33999 9 44 financial financial JJ A33999 9 45 support support NN A33999 9 46 to to IN A33999 9 47 the the DT A33999 9 48 Early early JJ A33999 9 49 English English NNP A33999 9 50 Books Books NNPS A33999 9 51 Online Online NNP A33999 9 52 Text Text NNP A33999 9 53 Creation Creation NNP A33999 9 54 Partnership Partnership NNP A33999 9 55 . . . A33999 10 1 This this DT A33999 10 2 Phase Phase NNP A33999 10 3 I -PRON- PRP A33999 10 4 text text NN A33999 10 5 is be VBZ A33999 10 6 available available JJ A33999 10 7 for for IN A33999 10 8 reuse reuse NN A33999 10 9 , , , A33999 10 10 according accord VBG A33999 10 11 to to IN A33999 10 12 the the DT A33999 10 13 terms term NNS A33999 10 14 of of IN A33999 10 15 Creative Creative NNP A33999 10 16 Commons Commons NNPS A33999 10 17 0 0 CD A33999 10 18 1.0 1.0 CD A33999 10 19 Universal Universal NNP A33999 10 20 . . . A33999 11 1 The the DT A33999 11 2 text text NN A33999 11 3 can can MD A33999 11 4 be be VB A33999 11 5 copied copy VBN A33999 11 6 , , , A33999 11 7 modified modify VBN A33999 11 8 , , , A33999 11 9 distributed distribute VBN A33999 11 10 and and CC A33999 11 11 performed perform VBN A33999 11 12 , , , A33999 11 13 even even RB A33999 11 14 for for IN A33999 11 15 commercial commercial JJ A33999 11 16 purposes purpose NNS A33999 11 17 , , , A33999 11 18 all all DT A33999 11 19 without without IN A33999 11 20 asking ask VBG A33999 11 21 permission permission NN A33999 11 22 . . . A33999 12 1 Early early JJ A33999 12 2 English english JJ A33999 12 3 books book NNS A33999 12 4 online online RB A33999 12 5 . . . A33999 13 1 ( ( -LRB- A33999 13 2 EEBO eebo NN A33999 13 3 - - HYPH A33999 13 4 TCP TCP NNP A33999 13 5 ; ; : A33999 13 6 phase phase NN A33999 13 7 1 1 CD A33999 13 8 , , , A33999 13 9 no no UH A33999 13 10 . . . A33999 14 1 A33999 A33999 NNP A33999 14 2 ) ) -RRB- A33999 14 3 Transcribed Transcribed NNP A33999 14 4 from from IN A33999 14 5 : : : A33999 14 6 ( ( -LRB- A33999 14 7 Early early JJ A33999 14 8 English english JJ A33999 14 9 Books book NNS A33999 14 10 Online online RB A33999 14 11 ; ; , A33999 14 12 image image NN A33999 14 13 set set NN A33999 14 14 61099 61099 CD A33999 14 15 ) ) -RRB- A33999 14 16 Images image NNS A33999 14 17 scanned scan VBN A33999 14 18 from from IN A33999 14 19 microfilm microfilm NN A33999 14 20 : : : A33999 14 21 ( ( -LRB- A33999 14 22 Early early JJ A33999 14 23 English english JJ A33999 14 24 books book NNS A33999 14 25 , , , A33999 14 26 1641 1641 CD A33999 14 27 - - SYM A33999 14 28 1700 1700 CD A33999 14 29 ; ; : A33999 14 30 958:23 958:23 CD A33999 14 31 ) ) -RRB- A33999 14 32 Geometrical Geometrical NNP A33999 14 33 dyalling dyalle VBG A33999 14 34 , , , A33999 14 35 or or CC A33999 14 36 , , , A33999 14 37 Dyalling dyalle VBG A33999 14 38 performed perform VBN A33999 14 39 by by IN A33999 14 40 a a DT A33999 14 41 line line NN A33999 14 42 of of IN A33999 14 43 chords chord NNS A33999 14 44 onely onely RB A33999 14 45 , , , A33999 14 46 or or CC A33999 14 47 by by IN A33999 14 48 the the DT A33999 14 49 plain plain JJ A33999 14 50 scale scale NN A33999 14 51 wherein wherein WRB A33999 14 52 is be VBZ A33999 14 53 contained contain VBN A33999 14 54 two two CD A33999 14 55 several several JJ A33999 14 56 methods method NNS A33999 14 57 of of IN A33999 14 58 inscribing inscribe VBG A33999 14 59 the the DT A33999 14 60 hour hour NN A33999 14 61 - - HYPH A33999 14 62 lines line NNS A33999 14 63 in in IN A33999 14 64 all all DT A33999 14 65 plains plain NNS A33999 14 66 , , , A33999 14 67 with with IN A33999 14 68 the the DT A33999 14 69 substile substile JJ A33999 14 70 , , , A33999 14 71 stile stile NNP A33999 14 72 and and CC A33999 14 73 meridian meridian NNP A33999 14 74 , , , A33999 14 75 in in IN A33999 14 76 their -PRON- PRP$ A33999 14 77 proper proper JJ A33999 14 78 coasts coast NNS A33999 14 79 and and CC A33999 14 80 quantities quantity NNS A33999 14 81 : : : A33999 14 82 being be VBG A33999 14 83 a a DT A33999 14 84 full full JJ A33999 14 85 explication explication NN A33999 14 86 and and CC A33999 14 87 demonstration demonstration NN A33999 14 88 of of IN A33999 14 89 divers diver NNS A33999 14 90 difficulties difficulty NNS A33999 14 91 in in IN A33999 14 92 the the DT A33999 14 93 works work NNS A33999 14 94 of of IN A33999 14 95 learned learn VBD A33999 14 96 Mr. Mr. NNP A33999 14 97 Samuel Samuel NNP A33999 14 98 Foster Foster NNP A33999 14 99 deceased decease VBD A33999 14 100 ... ... : A33999 14 101 : : : A33999 14 102 whereto whereto NN A33999 14 103 is be VBZ A33999 14 104 added add VBN A33999 14 105 four four CD A33999 14 106 new new JJ A33999 14 107 methods method NNS A33999 14 108 of of IN A33999 14 109 calculation calculation NN A33999 14 110 , , , A33999 14 111 for for IN A33999 14 112 finding find VBG A33999 14 113 the the DT A33999 14 114 requisites requisite NNS A33999 14 115 in in IN A33999 14 116 all all DT A33999 14 117 leaning lean VBG A33999 14 118 plains plain NNS A33999 14 119 ... ... : A33999 14 120 : : : A33999 14 121 also also RB A33999 14 122 how how WRB A33999 14 123 by by IN A33999 14 124 projecting project VBG A33999 14 125 the the DT A33999 14 126 sphere sphere NN A33999 14 127 , , , A33999 14 128 to to TO A33999 14 129 measure measure VB A33999 14 130 off off RP A33999 14 131 all all PDT A33999 14 132 the the DT A33999 14 133 arks ark NNS A33999 14 134 found find VBN A33999 14 135 by by IN A33999 14 136 calculation calculation NN A33999 14 137 ... ... NFP A33999 14 138 : : : A33999 14 139 lastly lastly RB A33999 14 140 , , , A33999 14 141 the the DT A33999 14 142 making making NN A33999 14 143 of of IN A33999 14 144 dyals dyal NNS A33999 14 145 from from IN A33999 14 146 three three CD A33999 14 147 shadows shadow NNS A33999 14 148 of of IN A33999 14 149 a a DT A33999 14 150 gnomon gnomon NN A33999 14 151 ... ... : A33999 14 152 / / , A33999 14 153 written write VBN A33999 14 154 by by IN A33999 14 155 John John NNP A33999 14 156 Collins Collins NNP A33999 14 157 ... ... : A33999 14 158 Collins Collins NNP A33999 14 159 , , , A33999 14 160 John John NNP A33999 14 161 , , , A33999 14 162 1625 1625 CD A33999 14 163 - - SYM A33999 14 164 1683 1683 CD A33999 14 165 . . . A33999 15 1 [ [ -LRB- A33999 15 2 6 6 CD A33999 15 3 ] ] -RRB- A33999 15 4 , , , A33999 15 5 82 82 CD A33999 15 6 , , , A33999 15 7 ( ( -LRB- A33999 15 8 i.e. i.e. FW A33999 16 1 80 80 CD A33999 16 2 ) ) -RRB- A33999 16 3 p. p. NN A33999 16 4 : : : A33999 16 5 ill ill NNP A33999 16 6 . . NNP A33999 16 7 , , , A33999 16 8 plates plate NNS A33999 16 9 . . . A33999 17 1 Printed print VBN A33999 17 2 by by IN A33999 17 3 Thomas Thomas NNP A33999 17 4 Johnson Johnson NNP A33999 17 5 for for IN A33999 17 6 Francis Francis NNP A33999 17 7 Cossines Cossines NNP A33999 17 8 and and CC A33999 17 9 are be VBP A33999 17 10 to to TO A33999 17 11 be be VB A33999 17 12 sold sell VBN A33999 17 13 at at IN A33999 17 14 his -PRON- PRP$ A33999 17 15 shop shop NN A33999 17 16 ... ... NFP A33999 17 17 : : : A33999 17 18 also also RB A33999 17 19 to to TO A33999 17 20 be be VB A33999 17 21 sold sell VBN A33999 17 22 by by IN A33999 17 23 Henry Henry NNP A33999 17 24 Sutton Sutton NNP A33999 17 25 ... ... : A33999 17 26 , , , A33999 17 27 London London NNP A33999 17 28 : : : A33999 17 29 1659 1659 CD A33999 17 30 . . . A33999 18 1 Reproduction reproduction NN A33999 18 2 of of IN A33999 18 3 original original NN A33999 18 4 in in IN A33999 18 5 the the DT A33999 18 6 University University NNP A33999 18 7 of of IN A33999 18 8 Illinois Illinois NNP A33999 18 9 ( ( -LRB- A33999 18 10 Urbana Urbana NNP A33999 18 11 - - HYPH A33999 18 12 Champaign Champaign NNP A33999 18 13 Campus Campus NNP A33999 18 14 ) ) -RRB- A33999 18 15 . . . A33999 19 1 Library library UH A33999 19 2 . . . A33999 20 1 Errata errata NN A33999 20 2 : : : A33999 20 3 p. p. NN A33999 20 4 82 82 CD A33999 20 5 . . . A33999 20 6 eng eng NNP A33999 20 7 Foster Foster NNP A33999 20 8 , , , A33999 20 9 Samuel Samuel NNP A33999 20 10 , , , A33999 20 11 d. d. NNP A33999 20 12 1652 1652 CD A33999 20 13 . . . A33999 21 1 Dialing dialing NN A33999 21 2 -- -- : A33999 21 3 Early early RB A33999 21 4 works work NNS A33999 21 5 to to IN A33999 21 6 1800 1800 CD A33999 21 7 . . . A33999 22 1 A33999 A33999 NNP A33999 22 2 R17003 R17003 NNP A33999 22 3 ( ( -LRB- A33999 22 4 Wing Wing NNP A33999 22 5 C5373 C5373 NNP A33999 22 6 ) ) -RRB- A33999 22 7 . . . A33999 23 1 civilwar civilwar VB A33999 23 2 no no DT A33999 23 3 Geometrical Geometrical NNP A33999 23 4 dyalling dyalle VBG A33999 23 5 : : : A33999 23 6 or or CC A33999 23 7 , , , A33999 23 8 dyalling dyalle VBG A33999 23 9 performed perform VBN A33999 23 10 by by IN A33999 23 11 a a DT A33999 23 12 line line NN A33999 23 13 of of IN A33999 23 14 chords chord NNS A33999 23 15 onely onely RB A33999 23 16 , , , A33999 23 17 or or CC A33999 23 18 by by IN A33999 23 19 the the DT A33999 23 20 plain plain JJ A33999 23 21 scale scale NN A33999 23 22 . . . A33999 24 1 Wherein wherein WRB A33999 24 2 is be VBZ A33999 24 3 contained contain VBN A33999 24 4 two two CD A33999 24 5 several several JJ A33999 24 6 methods method NNS A33999 24 7 of of IN A33999 24 8 i i PRP A33999 24 9 Collins Collins NNP A33999 24 10 , , , A33999 24 11 John John NNP A33999 24 12 1659 1659 CD A33999 24 13 31860 31860 CD A33999 24 14 3 3 CD A33999 24 15 0 0 CD A33999 24 16 0 0 CD A33999 24 17 0 0 CD A33999 24 18 0 0 CD A33999 24 19 0 0 CD A33999 24 20 1 1 CD A33999 24 21 B b NN A33999 24 22 The the DT A33999 24 23 rate rate NN A33999 24 24 of of IN A33999 24 25 1 1 CD A33999 24 26 defects defect NNS A33999 24 27 per per IN A33999 24 28 10,000 10,000 CD A33999 24 29 words word NNS A33999 24 30 puts put VBZ A33999 24 31 this this DT A33999 24 32 text text NN A33999 24 33 in in IN A33999 24 34 the the DT A33999 24 35 B b NN A33999 24 36 category category NN A33999 24 37 of of IN A33999 24 38 texts text NNS A33999 24 39 with with IN A33999 24 40 fewer few JJR A33999 24 41 than than IN A33999 24 42 10 10 CD A33999 24 43 defects defect NNS A33999 24 44 per per IN A33999 24 45 10,000 10,000 CD A33999 24 46 words word NNS A33999 24 47 . . . A33999 25 1 2005 2005 CD A33999 25 2 - - SYM A33999 25 3 07 07 CD A33999 25 4 TCP TCP NNP A33999 25 5 Assigned assign VBN A33999 25 6 for for IN A33999 25 7 keying keying NN A33999 25 8 and and CC A33999 25 9 markup markup NNP A33999 25 10 2005 2005 CD A33999 25 11 - - SYM A33999 25 12 08 08 CD A33999 25 13 Aptara Aptara NNP A33999 25 14 Keyed Keyed NNP A33999 25 15 and and CC A33999 25 16 coded code VBN A33999 25 17 from from IN A33999 25 18 ProQuest ProQuest NNP A33999 25 19 page page NN A33999 25 20 images image NNS A33999 25 21 2005 2005 CD A33999 25 22 - - SYM A33999 25 23 09 09 CD A33999 25 24 Andrew Andrew NNP A33999 25 25 Kuster Kuster NNP A33999 25 26 Sampled Sampled NNP A33999 25 27 and and CC A33999 25 28 proofread proofread NNP A33999 25 29 2005 2005 CD A33999 25 30 - - SYM A33999 25 31 09 09 CD A33999 25 32 Andrew Andrew NNP A33999 25 33 Kuster Kuster NNP A33999 25 34 Text Text NNP A33999 25 35 and and CC A33999 25 36 markup markup NN A33999 25 37 reviewed review VBD A33999 25 38 and and CC A33999 25 39 edited edit VBD A33999 25 40 2005 2005 CD A33999 25 41 - - SYM A33999 25 42 10 10 CD A33999 25 43 pfs pfs NN A33999 25 44 Batch Batch NNP A33999 25 45 review review NN A33999 25 46 ( ( -LRB- A33999 25 47 QC QC NNP A33999 25 48 ) ) -RRB- A33999 25 49 and and CC A33999 25 50 XML xml NN A33999 25 51 conversion conversion NN A33999 25 52 Geometricall Geometricall NNP A33999 25 53 DYALLING DYALLING NNP A33999 25 54 or or CC A33999 25 55 , , , A33999 25 56 Dyalling dyalle VBG A33999 25 57 by by IN A33999 25 58 a a DT A33999 25 59 line line NN A33999 25 60 of of IN A33999 25 61 CHORDS chord NNS A33999 25 62 onely onely RB A33999 25 63 by by IN A33999 25 64 IOHN iohn NN A33999 25 65 COLLINS COLLINS NNP A33999 25 66 Accomptant Accomptant NNP A33999 25 67 Philomath Philomath NNP A33999 25 68 London London NNP A33999 25 69 Printed Printed NNP A33999 25 70 for for IN A33999 25 71 Francis Francis NNP A33999 25 72 Cossinet Cossinet NNP A33999 25 73 in in IN A33999 25 74 Tower Tower NNP A33999 25 75 Street Street NNP A33999 25 76 and and CC A33999 25 77 for for IN A33999 25 78 H h NN A33999 25 79 : : : A33999 25 80 Sutton Sutton NNP A33999 25 81 behind behind IN A33999 25 82 Exchang Exchang NNP A33999 25 83 Generall Generall NNP A33999 25 84 Scheme Scheme NNP A33999 25 85 Projection Projection NNP A33999 25 86 of of IN A33999 25 87 ye ye NNP A33999 25 88 Sphere Sphere NNP A33999 25 89 Anno Anno NNP A33999 25 90 1659 1659 CD A33999 25 91 In in IN A33999 25 92 a a DT A33999 25 93 Circle Circle NNP A33999 25 94 In in IN A33999 25 95 a a DT A33999 25 96 Parralellogram Parralellogram NNP A33999 25 97 Chords Chords NNPS A33999 25 98 fitted fit VBD A33999 25 99 to to IN A33999 25 100 ye ye VB A33999 25 101 Schemes Schemes NNP A33999 25 102 in in IN A33999 25 103 ye ye NNP A33999 25 104 Booke Booke NNP A33999 25 105 ruler ruler NN A33999 25 106 Chords Chords NNPS A33999 25 107 in in IN A33999 25 108 time time NN A33999 25 109 fitted fit VBD A33999 25 110 to to IN A33999 25 111 the the DT A33999 25 112 Booke Booke NNP A33999 25 113 ruler ruler NN A33999 25 114 Geometricall Geometricall NNP A33999 25 115 Dyalling dyalle VBG A33999 25 116 : : : A33999 25 117 OR or CC A33999 25 118 , , , A33999 25 119 DYALLING dyalle VBG A33999 25 120 Performed perform VBN A33999 25 121 by by IN A33999 25 122 a a DT A33999 25 123 Line Line NNP A33999 25 124 of of IN A33999 25 125 CHORDS CHORDS NNPS A33999 25 126 onely onely RB A33999 25 127 , , , A33999 25 128 Or or CC A33999 25 129 by by IN A33999 25 130 the the DT A33999 25 131 PLAIN PLAIN NNP A33999 25 132 SCALE SCALE NNP A33999 25 133 . . . A33999 26 1 Wherein wherein WRB A33999 26 2 is be VBZ A33999 26 3 contained contain VBN A33999 26 4 two two CD A33999 26 5 several several JJ A33999 26 6 Methods method NNS A33999 26 7 of of IN A33999 26 8 Inscribing inscribe VBG A33999 26 9 the the DT A33999 26 10 Hour Hour NNP A33999 26 11 - - HYPH A33999 26 12 Lines Lines NNP A33999 26 13 in in IN A33999 26 14 all all DT A33999 26 15 Plains Plains NNPS A33999 26 16 , , , A33999 26 17 with with IN A33999 26 18 the the DT A33999 26 19 Substile Substile NNP A33999 26 20 , , , A33999 26 21 Stile Stile NNP A33999 26 22 and and CC A33999 26 23 Meridian Meridian NNP A33999 26 24 , , , A33999 26 25 in in IN A33999 26 26 their -PRON- PRP$ A33999 26 27 proper proper JJ A33999 26 28 Coasts coast NNS A33999 26 29 and and CC A33999 26 30 Quantities Quantities NNPS A33999 26 31 ; ; : A33999 26 32 Being be VBG A33999 26 33 a a DT A33999 26 34 full full JJ A33999 26 35 Explication Explication NNP A33999 26 36 and and CC A33999 26 37 Demonstration Demonstration NNP A33999 26 38 of of IN A33999 26 39 divers diver NNS A33999 26 40 difficulties difficulty NNS A33999 26 41 in in IN A33999 26 42 the the DT A33999 26 43 Works work NNS A33999 26 44 of of IN A33999 26 45 Learned learn VBN A33999 26 46 Mr. Mr. NNP A33999 26 47 Samuel Samuel NNP A33999 26 48 Foster Foster NNP A33999 26 49 deceased decease VBD A33999 26 50 , , , A33999 26 51 late late JJ A33999 26 52 Professor Professor NNP A33999 26 53 of of IN A33999 26 54 Astronomy Astronomy NNP A33999 26 55 in in IN A33999 26 56 Gresham Gresham NNP A33999 26 57 Colledge Colledge NNP A33999 26 58 , , , A33999 26 59 ; ; : A33999 26 60 Also also RB A33999 26 61 a a DT A33999 26 62 Collection collection NN A33999 26 63 of of IN A33999 26 64 divers diver NNS A33999 26 65 things thing NNS A33999 26 66 from from IN A33999 26 67 the the DT A33999 26 68 Works Works NNP A33999 26 69 of of IN A33999 26 70 Clavius Clavius NNP A33999 26 71 and and CC A33999 26 72 others other NNS A33999 26 73 . . . A33999 27 1 Whereto Whereto NNP A33999 27 2 is be VBZ A33999 27 3 added add VBN A33999 27 4 four four CD A33999 27 5 new new JJ A33999 27 6 Methods Methods NNPS A33999 27 7 of of IN A33999 27 8 Calculation Calculation NNP A33999 27 9 , , , A33999 27 10 for for IN A33999 27 11 finding find VBG A33999 27 12 the the DT A33999 27 13 Requisites Requisites NNPS A33999 27 14 in in IN A33999 27 15 all all DT A33999 27 16 Leaning lean VBG A33999 27 17 Plains Plains NNPS A33999 27 18 , , , A33999 27 19 with with IN A33999 27 20 full full JJ A33999 27 21 directions direction NNS A33999 27 22 suited suit VBN A33999 27 23 to to IN A33999 27 24 each each DT A33999 27 25 Method Method NNP A33999 27 26 for for IN A33999 27 27 placing place VBG A33999 27 28 them -PRON- PRP A33999 27 29 in in IN A33999 27 30 their -PRON- PRP$ A33999 27 31 proper proper JJ A33999 27 32 Coasts coast NNS A33999 27 33 , , , A33999 27 34 without without IN A33999 27 35 the the DT A33999 27 36 help help NN A33999 27 37 of of IN A33999 27 38 any any DT A33999 27 39 Dclinations Dclinations NNPS A33999 27 40 . . . A33999 28 1 Also also RB A33999 28 2 how how WRB A33999 28 3 by by IN A33999 28 4 Projecting project VBG A33999 28 5 the the DT A33999 28 6 Sphere Sphere NNP A33999 28 7 , , , A33999 28 8 to to TO A33999 28 9 measure measure VB A33999 28 10 off off RP A33999 28 11 all all PDT A33999 28 12 the the DT A33999 28 13 Arks Arks NNP A33999 28 14 found find VBN A33999 28 15 by by IN A33999 28 16 Calculation Calculation NNP A33999 28 17 , , , A33999 28 18 and and CC A33999 28 19 to to TO A33999 28 20 determine determine VB A33999 28 21 what what WDT A33999 28 22 hours hour NNS A33999 28 23 are be VBP A33999 28 24 proper proper JJ A33999 28 25 to to IN A33999 28 26 all all DT A33999 28 27 kinde kinde NNP A33999 28 28 of of IN A33999 28 29 Plains Plains NNPS A33999 28 30 , , , A33999 28 31 omitting omit VBG A33999 28 32 superfluity superfluity NN A33999 28 33 . . . A33999 29 1 Lastly lastly RB A33999 29 2 , , , A33999 29 3 the the DT A33999 29 4 making making NN A33999 29 5 of of IN A33999 29 6 Dyals dyal NNS A33999 29 7 from from IN A33999 29 8 three three CD A33999 29 9 Shadows shadow NNS A33999 29 10 of of IN A33999 29 11 a a DT A33999 29 12 Gnomon Gnomon NNP A33999 29 13 placed place VBN A33999 29 14 in in IN A33999 29 15 a a DT A33999 29 16 Wall Wall NNP A33999 29 17 at at IN A33999 29 18 random random JJ A33999 29 19 , , , A33999 29 20 with with IN A33999 29 21 a a DT A33999 29 22 Method Method NNP A33999 29 23 of of IN A33999 29 24 Calculation Calculation NNP A33999 29 25 suited suit VBN A33999 29 26 thereto thereto NN A33999 29 27 , , , A33999 29 28 and and CC A33999 29 29 divers diver VBZ A33999 29 30 ways way NNS A33999 29 31 from from IN A33999 29 32 three three CD A33999 29 33 Shadows Shadows NNPS A33999 29 34 , , , A33999 29 35 to to TO A33999 29 36 finde finde NNP A33999 29 37 a a DT A33999 29 38 Meridian meridian JJ A33999 29 39 - - HYPH A33999 29 40 line line NN A33999 29 41 . . . A33999 30 1 Written write VBN A33999 30 2 by by IN A33999 30 3 John John NNP A33999 30 4 Collins Collins NNP A33999 30 5 of of IN A33999 30 6 London London NNP A33999 30 7 Accomptant Accomptant NNP A33999 30 8 , , , A33999 30 9 Philomath Philomath NNP A33999 30 10 . . . A33999 31 1 London London NNP A33999 31 2 , , , A33999 31 3 Printed Printed NNP A33999 31 4 by by IN A33999 31 5 Thomas Thomas NNP A33999 31 6 Johnson Johnson NNP A33999 31 7 for for IN A33999 31 8 Francis Francis NNP A33999 31 9 Cossinet Cossinet NNP A33999 31 10 , , , A33999 31 11 and and CC A33999 31 12 are be VBP A33999 31 13 to to TO A33999 31 14 be be VB A33999 31 15 sold sell VBN A33999 31 16 at at IN A33999 31 17 his -PRON- PRP$ A33999 31 18 Shop Shop NNP A33999 31 19 at at IN A33999 31 20 the the DT A33999 31 21 Anchor Anchor NNP A33999 31 22 and and CC A33999 31 23 Mariner Mariner NNP A33999 31 24 in in IN A33999 31 25 Tower Tower NNP A33999 31 26 - - HYPH A33999 31 27 street street NNP A33999 31 28 , , , A33999 31 29 at at IN A33999 31 30 the the DT A33999 31 31 end end NN A33999 31 32 of of IN A33999 31 33 Mincing mincing NN A33999 31 34 - - HYPH A33999 31 35 lane lane NNP A33999 31 36 , , , A33999 31 37 with with IN A33999 31 38 other other JJ A33999 31 39 Mathematical mathematical JJ A33999 31 40 Books Books NNPS A33999 31 41 ; ; : A33999 31 42 Also also RB A33999 31 43 to to TO A33999 31 44 be be VB A33999 31 45 sold sell VBN A33999 31 46 by by IN A33999 31 47 Henry Henry NNP A33999 31 48 Sutton Sutton NNP A33999 31 49 Mathematical Mathematical NNP A33999 31 50 Instrument Instrument NNP A33999 31 51 - - HYPH A33999 31 52 Maker Maker NNP A33999 31 53 , , , A33999 31 54 living live VBG A33999 31 55 in in IN A33999 31 56 Threed Threed NNP A33999 31 57 - - HYPH A33999 31 58 needle needle NNP A33999 31 59 Street Street NNP A33999 31 60 behinde behinde NN A33999 31 61 the the DT A33999 31 62 Exchange Exchange NNP A33999 31 63 . . . A33999 32 1 1659 1659 CD A33999 32 2 . . . A33999 33 1 To to IN A33999 33 2 the the DT A33999 33 3 Reader reader NN A33999 33 4 . . . A33999 34 1 BEing be VBG A33999 34 2 in in IN A33999 34 3 conference conference NN A33999 34 4 with with IN A33999 34 5 my -PRON- PRP$ A33999 34 6 loving love VBG A33999 34 7 friend friend NN A33999 34 8 Mr. Mr. NNP A33999 34 9 Thomas Thomas NNP A33999 34 10 Rice Rice NNP A33999 34 11 , , , A33999 34 12 one one CD A33999 34 13 of of IN A33999 34 14 the the DT A33999 34 15 Gunners Gunners NNPS A33999 34 16 of of IN A33999 34 17 the the DT A33999 34 18 Tower Tower NNP A33999 34 19 , , , A33999 34 20 much much RB A33999 34 21 exercised exercise VBN A33999 34 22 in in IN A33999 34 23 making making NN A33999 34 24 of of IN A33999 34 25 Dyals Dyals NNPS A33999 34 26 in in IN A33999 34 27 many many JJ A33999 34 28 eminent eminent JJ A33999 34 29 places place NNS A33999 34 30 of of IN A33999 34 31 the the DT A33999 34 32 City City NNP A33999 34 33 , , , A33999 34 34 he -PRON- PRP A33999 34 35 was be VBD A33999 34 36 pleased pleased JJ A33999 34 37 to to TO A33999 34 38 communicate communicate VB A33999 34 39 unto unto IN A33999 34 40 me -PRON- PRP A33999 34 41 the the DT A33999 34 42 knowledge knowledge NN A33999 34 43 of of IN A33999 34 44 a a DT A33999 34 45 General General NNP A33999 34 46 Scheme Scheme NNP A33999 34 47 , , , A33999 34 48 for for IN A33999 34 49 Inscribing inscribe VBG A33999 34 50 the the DT A33999 34 51 Requisites Requisites NNPS A33999 34 52 in in IN A33999 34 53 all all DT A33999 34 54 Oblique Oblique NNP A33999 34 55 Leaning Leaning NNP A33999 34 56 Plains Plains NNPS A33999 34 57 , , , A33999 34 58 which which WDT A33999 34 59 he -PRON- PRP A33999 34 60 added add VBD A33999 34 61 , , , A33999 34 62 was be VBD A33999 34 63 the the DT A33999 34 64 useful useful JJ A33999 34 65 Invention Invention NNP A33999 34 66 of of IN A33999 34 67 the the DT A33999 34 68 Learned Learned NNP A33999 34 69 Master Master NNP A33999 34 70 Samuel Samuel NNP A33999 34 71 Foster Foster NNP A33999 34 72 , , , A33999 34 73 Professor Professor NNP A33999 34 74 of of IN A33999 34 75 Astronomy Astronomy NNP A33999 34 76 in in IN A33999 34 77 Gresham Gresham NNP A33999 34 78 Colledge Colledge NNP A33999 34 79 London London NNP A33999 34 80 , , , A33999 34 81 deceased deceased JJ A33999 34 82 , , , A33999 34 83 from from IN A33999 34 84 whom whom WP A33999 34 85 he -PRON- PRP A33999 34 86 received receive VBD A33999 34 87 Instructions instruction NNS A33999 34 88 concerning concern VBG A33999 34 89 the the DT A33999 34 90 same same JJ A33999 34 91 , , , A33999 34 92 in in IN A33999 34 93 the the DT A33999 34 94 year year NN A33999 34 95 1640 1640 CD A33999 34 96 . . . A33999 35 1 And and CC A33999 35 2 the the DT A33999 35 3 said say VBD A33999 35 4 Mr. Mr. NNP A33999 35 5 Rice Rice NNP A33999 35 6 not not RB A33999 35 7 having have VBG A33999 35 8 his -PRON- PRP$ A33999 35 9 Papers paper NNS A33999 35 10 about about IN A33999 35 11 him -PRON- PRP A33999 35 12 , , , A33999 35 13 did do VBD A33999 35 14 dictate dictate VB A33999 35 15 to to IN A33999 35 16 me -PRON- PRP A33999 35 17 from from IN A33999 35 18 his -PRON- PRP$ A33999 35 19 Memory Memory NNP A33999 35 20 the the DT A33999 35 21 Construction Construction NNP A33999 35 22 and and CC A33999 35 23 Practice Practice NNP A33999 35 24 of of IN A33999 35 25 the the DT A33999 35 26 said say VBN A33999 35 27 Scheme Scheme NNP A33999 35 28 , , , A33999 35 29 which which WDT A33999 35 30 I -PRON- PRP A33999 35 31 afterwards afterwards RB A33999 35 32 Methodized methodize VBD A33999 35 33 just just RB A33999 35 34 as as IN A33999 35 35 it -PRON- PRP A33999 35 36 is be VBZ A33999 35 37 delivered deliver VBN A33999 35 38 in in IN A33999 35 39 page page NN A33999 35 40 25 25 CD A33999 35 41 and and CC A33999 35 42 26 26 CD A33999 35 43 . . . A33999 36 1 At at IN A33999 36 2 the the DT A33999 36 3 same same JJ A33999 36 4 time time NN A33999 36 5 also also RB A33999 36 6 I -PRON- PRP A33999 36 7 received receive VBD A33999 36 8 directions direction NNS A33999 36 9 for for IN A33999 36 10 Inscribing inscribe VBG A33999 36 11 the the DT A33999 36 12 Substile Substile NNP A33999 36 13 and and CC A33999 36 14 Stile Stile NNP A33999 36 15 in in IN A33999 36 16 upright upright JJ A33999 36 17 Decliners Decliners NNPS A33999 36 18 , , , A33999 36 19 and and CC A33999 36 20 East East NNP A33999 36 21 or or CC A33999 36 22 West West NNP A33999 36 23 Reclining Reclining NNP A33999 36 24 , , , A33999 36 25 or or CC A33999 36 26 Inclining incline VBG A33999 36 27 Plains Plains NNPS A33999 36 28 , , , A33999 36 29 but but CC A33999 36 30 they -PRON- PRP A33999 36 31 were be VBD A33999 36 32 of of IN A33999 36 33 another another DT A33999 36 34 mans mans NNPS A33999 36 35 Invention Invention NNP A33999 36 36 , , , A33999 36 37 and and CC A33999 36 38 did do VBD A33999 36 39 not not RB A33999 36 40 seem seem VB A33999 36 41 to to TO A33999 36 42 be be VB A33999 36 43 derived derive VBN A33999 36 44 from from IN A33999 36 45 the the DT A33999 36 46 former former JJ A33999 36 47 general general JJ A33999 36 48 Scheme Scheme NNP A33999 36 49 , , , A33999 36 50 and and CC A33999 36 51 therefore therefore RB A33999 36 52 I -PRON- PRP A33999 36 53 have have VBP A33999 36 54 not not RB A33999 36 55 used use VBN A33999 36 56 them -PRON- PRP A33999 36 57 in in IN A33999 36 58 this this DT A33999 36 59 Treatise Treatise NNP A33999 36 60 , , , A33999 36 61 but but CC A33999 36 62 derived derive VBD A33999 36 63 the the DT A33999 36 64 performance performance NN A33999 36 65 thereof thereof RB A33999 36 66 from from IN A33999 36 67 the the DT A33999 36 68 said say VBN A33999 36 69 general general JJ A33999 36 70 Scheme Scheme NNP A33999 36 71 : : : A33999 36 72 Moreover moreover RB A33999 36 73 , , , A33999 36 74 Mr. Mr. NNP A33999 36 75 Rice Rice NNP A33999 36 76 added add VBD A33999 36 77 , , , A33999 36 78 that that IN A33999 36 79 in in IN A33999 36 80 regard regard NN A33999 36 81 of of IN A33999 36 82 the the DT A33999 36 83 death death NN A33999 36 84 of of IN A33999 36 85 the the DT A33999 36 86 Author author NN A33999 36 87 , , , A33999 36 88 and and CC A33999 36 89 since since IN A33999 36 90 of of IN A33999 36 91 his -PRON- PRP$ A33999 36 92 Executor Executor NNP A33999 36 93 , , , A33999 36 94 who who WP A33999 36 95 had have VBD A33999 36 96 the the DT A33999 36 97 care care NN A33999 36 98 and and CC A33999 36 99 inspection inspection NN A33999 36 100 of of IN A33999 36 101 his -PRON- PRP$ A33999 36 102 Papers Papers NNPS A33999 36 103 , , , A33999 36 104 I -PRON- PRP A33999 36 105 should should MD A33999 36 106 do do VB A33999 36 107 well well RB A33999 36 108 to to TO A33999 36 109 Study study VB A33999 36 110 out out RP A33999 36 111 the the DT A33999 36 112 Demonstration Demonstration NNP A33999 36 113 of of IN A33999 36 114 the the DT A33999 36 115 former former JJ A33999 36 116 Scheme Scheme NNP A33999 36 117 , , , A33999 36 118 and and CC A33999 36 119 make make VB A33999 36 120 it -PRON- PRP A33999 36 121 publick publick VB A33999 36 122 , , , A33999 36 123 the the DT A33999 36 124 rather rather RB A33999 36 125 , , , A33999 36 126 because because IN A33999 36 127 it -PRON- PRP A33999 36 128 hath hath NN A33999 36 129 been be VBN A33999 36 130 neglected neglect VBN A33999 36 131 . . . A33999 37 1 The the DT A33999 37 2 manner manner NN A33999 37 3 of of IN A33999 37 4 Inscribing inscribe VBG A33999 37 5 the the DT A33999 37 6 hour hour NN A33999 37 7 - - HYPH A33999 37 8 lines line NNS A33999 37 9 being be VBG A33999 37 10 already already RB A33999 37 11 published publish VBN A33999 37 12 in in IN A33999 37 13 a a DT A33999 37 14 Treatise Treatise NNP A33999 37 15 of of IN A33999 37 16 the the DT A33999 37 17 Authors Authors NNPS A33999 37 18 , , , A33999 37 19 Intituled Intituled NNP A33999 37 20 , , , A33999 37 21 Posthumi Posthumi NNP A33999 37 22 Posteri Posteri NNP A33999 37 23 ; ; : A33999 37 24 this this DT A33999 37 25 desire desire NN A33999 37 26 of of IN A33999 37 27 his -PRON- PRP A33999 37 28 , , , A33999 37 29 which which WDT A33999 37 30 was be VBD A33999 37 31 also also RB A33999 37 32 furthered further VBN A33999 37 33 by by IN A33999 37 34 Mr. Mr. NNP A33999 37 35 Sutton Sutton NNP A33999 37 36 and and CC A33999 37 37 others other NNS A33999 37 38 , , , A33999 37 39 I -PRON- PRP A33999 37 40 am be VBP A33999 37 41 confident confident JJ A33999 37 42 is be VBZ A33999 37 43 fully fully RB A33999 37 44 effected effect VBN A33999 37 45 in in IN A33999 37 46 the the DT A33999 37 47 following following JJ A33999 37 48 Treatise Treatise NNP A33999 37 49 , , , A33999 37 50 and and CC A33999 37 51 much much RB A33999 37 52 more more JJR A33999 37 53 then then RB A33999 37 54 was be VBD A33999 37 55 in in IN A33999 37 56 his -PRON- PRP$ A33999 37 57 Request request NN A33999 37 58 , , , A33999 37 59 and and CC A33999 37 60 here here RB A33999 37 61 let let VB A33999 37 62 me -PRON- PRP A33999 37 63 adde adde VB A33999 37 64 , , , A33999 37 65 that that IN A33999 37 66 I -PRON- PRP A33999 37 67 have have VBP A33999 37 68 had have VBN A33999 37 69 no no DT A33999 37 70 other other JJ A33999 37 71 light light NN A33999 37 72 from from IN A33999 37 73 the the DT A33999 37 74 Endeavors Endeavors NNPS A33999 37 75 of of IN A33999 37 76 the the DT A33999 37 77 Learned Learned NNP A33999 37 78 Author Author NNP A33999 37 79 , , , A33999 37 80 then then RB A33999 37 81 what what WP A33999 37 82 was be VBD A33999 37 83 as as IN A33999 37 84 above above RB A33999 37 85 communicated communicate VBN A33999 37 86 unto unto IN A33999 37 87 me -PRON- PRP A33999 37 88 , , , A33999 37 89 all all DT A33999 37 90 which which WDT A33999 37 91 might may MD A33999 37 92 be be VB A33999 37 93 expressed express VBN A33999 37 94 in in IN A33999 37 95 half half PDT A33999 37 96 a a DT A33999 37 97 page page NN A33999 37 98 of of IN A33999 37 99 paper paper NN A33999 37 100 , , , A33999 37 101 or or CC A33999 37 102 little little RB A33999 37 103 more more JJR A33999 37 104 , , , A33999 37 105 to to TO A33999 37 106 which which WDT A33999 37 107 I -PRON- PRP A33999 37 108 have have VBP A33999 37 109 made make VBN A33999 37 110 this this DT A33999 37 111 large large JJ A33999 37 112 Access Access NNP A33999 37 113 and and CC A33999 37 114 Collection Collection NNP A33999 37 115 , , , A33999 37 116 nam nam NNP A33999 37 117 facile facile NNP A33999 37 118 est est NNP A33999 37 119 inventis inventis NNP A33999 37 120 adore adore NNP A33999 37 121 ; ; : A33999 37 122 not not RB A33999 37 123 that that IN A33999 37 124 I -PRON- PRP A33999 37 125 would would MD A33999 37 126 hereby hereby VB A33999 37 127 any any DT A33999 37 128 thing thing NN A33999 37 129 endeavor endeavor NN A33999 37 130 to to TO A33999 37 131 ecclipse ecclipse VB A33999 37 132 the the DT A33999 37 133 Authors Authors NNP A33999 37 134 Work Work NNP A33999 37 135 , , , A33999 37 136 the the DT A33999 37 137 excellency excellency NN A33999 37 138 of of IN A33999 37 139 whose whose WP$ A33999 37 140 Inventions Inventions NNP A33999 37 141 in in IN A33999 37 142 this this DT A33999 37 143 and and CC A33999 37 144 other other JJ A33999 37 145 kindes kinde NNS A33999 37 146 , , , A33999 37 147 will will MD A33999 37 148 speak speak VB A33999 37 149 forth forth RB A33999 37 150 his -PRON- PRP$ A33999 37 151 Renown Renown NNP A33999 37 152 to to IN A33999 37 153 all all DT A33999 37 154 posterity posterity NN A33999 37 155 . . . A33999 38 1 And and CC A33999 38 2 though though RB A33999 38 3 in in IN A33999 38 4 probability probability NN A33999 38 5 I -PRON- PRP A33999 38 6 have have VBP A33999 38 7 not not RB A33999 38 8 performed perform VBN A33999 38 9 so so RB A33999 38 10 much much JJ A33999 38 11 , , , A33999 38 12 nor nor CC A33999 38 13 so so RB A33999 38 14 well well RB A33999 38 15 , , , A33999 38 16 as as IN A33999 38 17 was be VBD A33999 38 18 obvious obvious JJ A33999 38 19 to to IN A33999 38 20 the the DT A33999 38 21 knowledge knowledge NN A33999 38 22 of of IN A33999 38 23 the the DT A33999 38 24 Learned Learned NNP A33999 38 25 Author Author NNP A33999 38 26 , , , A33999 38 27 yet yet CC A33999 38 28 I -PRON- PRP A33999 38 29 am be VBP A33999 38 30 confident confident JJ A33999 38 31 when when WRB A33999 38 32 the the DT A33999 38 33 Reader reader NN A33999 38 34 understands understand VBZ A33999 38 35 what what WP A33999 38 36 is be VBZ A33999 38 37 written write VBN A33999 38 38 , , , A33999 38 39 he -PRON- PRP A33999 38 40 would would MD A33999 38 41 be be VB A33999 38 42 as as RB A33999 38 43 loath loath JJ A33999 38 44 to to TO A33999 38 45 be be VB A33999 38 46 without without IN A33999 38 47 the the DT A33999 38 48 knowledge knowledge NN A33999 38 49 thereof thereof RB A33999 38 50 , , , A33999 38 51 as as IN A33999 38 52 my -PRON- PRP$ A33999 38 53 self self NN A33999 38 54 ; ; : A33999 38 55 and and CC A33999 38 56 I -PRON- PRP A33999 38 57 am be VBP A33999 38 58 induced induce VBN A33999 38 59 to to TO A33999 38 60 believe believe VB A33999 38 61 , , , A33999 38 62 that that IN A33999 38 63 the the DT A33999 38 64 Author author NN A33999 38 65 left leave VBD A33999 38 66 nothing nothing NN A33999 38 67 written write VBN A33999 38 68 about about IN A33999 38 69 many many JJ A33999 38 70 particulars particular NNS A33999 38 71 in in IN A33999 38 72 this this DT A33999 38 73 Treatise Treatise NNP A33999 38 74 ; ; : A33999 38 75 throughout throughout IN A33999 38 76 which which WDT A33999 38 77 , , , A33999 38 78 we -PRON- PRP A33999 38 79 suppose suppose VBP A33999 38 80 the the DT A33999 38 81 Reader reader NN A33999 38 82 , , , A33999 38 83 furnished furnish VBN A33999 38 84 with with IN A33999 38 85 the the DT A33999 38 86 common common JJ A33999 38 87 Rudiments Rudiments NNPS A33999 38 88 of of IN A33999 38 89 Geometry Geometry NNP A33999 38 90 , , , A33999 38 91 that that IN A33999 38 92 he -PRON- PRP A33999 38 93 can can MD A33999 38 94 raise raise VB A33999 38 95 Perpendiculars Perpendiculars NNP A33999 38 96 , , , A33999 38 97 draw draw VB A33999 38 98 Parallels Parallels NNP A33999 38 99 , , , A33999 38 100 describe describe VB A33999 38 101 a a DT A33999 38 102 Parralellogram Parralellogram NNP A33999 38 103 , , , A33999 38 104 bring bring VB A33999 38 105 three three CD A33999 38 106 points point NNS A33999 38 107 into into IN A33999 38 108 a a DT A33999 38 109 Circle Circle NNP A33999 38 110 , , , A33999 38 111 understands understand VBZ A33999 38 112 Definitions Definitions NNPS A33999 38 113 and and CC A33999 38 114 Tearms Tearms NNPS A33999 38 115 of of IN A33999 38 116 Art art NN A33999 38 117 , , , A33999 38 118 knows know VBZ A33999 38 119 what what WP A33999 38 120 a a DT A33999 38 121 Line Line NNP A33999 38 122 of of IN A33999 38 123 Chords Chords NNPS A33999 38 124 is be VBZ A33999 38 125 , , , A33999 38 126 can can MD A33999 38 127 prick prick VB A33999 38 128 off off RP A33999 38 129 an an DT A33999 38 130 Arch Arch NNP A33999 38 131 thereby thereby NN A33999 38 132 ; ; : A33999 38 133 all all DT A33999 38 134 which which WDT A33999 38 135 , , , A33999 38 136 with with IN A33999 38 137 Delineations delineation NNS A33999 38 138 for for IN A33999 38 139 all all PDT A33999 38 140 the the DT A33999 38 141 usual usual JJ A33999 38 142 Cases case NNS A33999 38 143 of of IN A33999 38 144 Triangles Triangles NNPS A33999 38 145 , , , A33999 38 146 both both CC A33999 38 147 from from IN A33999 38 148 Projection Projection NNP A33999 38 149 and and CC A33999 38 150 Proportions Proportions NNP A33999 38 151 , , , A33999 38 152 the the DT A33999 38 153 Reader reader NN A33999 38 154 will will MD A33999 38 155 meet meet VB A33999 38 156 with with IN A33999 38 157 in in IN A33999 38 158 my -PRON- PRP$ A33999 38 159 Treatise Treatise NNP A33999 38 160 , , , A33999 38 161 called call VBN A33999 38 162 , , , A33999 38 163 The the DT A33999 38 164 Mariners Mariners NNPS A33999 38 165 Plain Plain NNP A33999 38 166 Scale Scale NNP A33999 38 167 new new JJ A33999 38 168 plain'd plain'd NN A33999 38 169 , , , A33999 38 170 now now RB A33999 38 171 in in IN A33999 38 172 the the DT A33999 38 173 Press Press NNP A33999 38 174 . . . A33999 39 1 Vale Vale NNP A33999 39 2 & & CC A33999 39 3 fruere fruere RB A33999 39 4 . . . A33999 40 1 I -PRON- PRP A33999 40 2 remain remain VBP A33999 40 3 thy thy PRP$ A33999 40 4 friend friend NN A33999 40 5 , , , A33999 40 6 and and CC A33999 40 7 a a DT A33999 40 8 Well well NN A33999 40 9 - - HYPH A33999 40 10 willer willer NN A33999 40 11 to to IN A33999 40 12 the the DT A33999 40 13 Publique Publique NNP A33999 40 14 Advancement Advancement NNP A33999 40 15 of of IN A33999 40 16 Knowledge Knowledge NNP A33999 40 17 , , , A33999 40 18 JOHN JOHN NNP A33999 40 19 COLLINS COLLINS NNP A33999 40 20 . . . 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NN A33999 41 33 5 5 CD A33999 41 34 A a DT A33999 41 35 general general JJ A33999 41 36 proportion proportion NN A33999 41 37 and and CC A33999 41 38 Scheam Scheam NNP A33999 41 39 for for IN A33999 41 40 finding find VBG A33999 41 41 the the DT A33999 41 42 Suns Suns NNPS A33999 41 43 Azimuth Azimuth NNP A33999 41 44 or or CC A33999 41 45 true true JJ A33999 41 46 Coast Coast NNP A33999 41 47 p. p. NN A33999 41 48 6 6 CD A33999 41 49 To to TO A33999 41 50 draw draw VB A33999 41 51 a a DT A33999 41 52 Horizontal Horizontal NNP A33999 41 53 Dyal Dyal NNP A33999 41 54 p. p. NN A33999 41 55 7 7 CD A33999 41 56 Also also RB A33999 41 57 a a DT A33999 41 58 South South NNP A33999 41 59 Dyal Dyal NNP A33999 41 60 p. p. NN A33999 41 61 8 8 CD A33999 41 62 A a DT A33999 41 63 new new JJ A33999 41 64 way way NN A33999 41 65 to to TO A33999 41 66 divide divide VB A33999 41 67 a a DT A33999 41 68 Tangent Tangent NNP A33999 41 69 liue liue NN A33999 41 70 into into IN A33999 41 71 five five CD A33999 41 72 hours hour NNS A33999 41 73 and and CC A33999 41 74 their -PRON- PRP$ A33999 41 75 quarters quarter NNS A33999 41 76 p. p. NN A33999 41 77 10 10 CD A33999 41 78 , , , A33999 41 79 11 11 CD A33999 41 80 A a DT A33999 41 81 direct direct JJ A33999 41 82 South South NNP A33999 41 83 Polar Polar NNP A33999 41 84 Dyal Dyal NNP A33999 41 85 p. p. NN A33999 41 86 12 12 CD A33999 41 87 To to TO A33999 41 88 prick prick VB A33999 41 89 off off RP A33999 41 90 the the DT A33999 41 91 Requisites Requisites NNPS A33999 41 92 of of IN A33999 41 93 upright upright JJ A33999 41 94 Decliners Decliners NNPS A33999 41 95 p. p. 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NN A33999 41 180 25 25 CD A33999 41 181 to to TO A33999 41 182 27 27 CD A33999 41 183 The the DT A33999 41 184 first first JJ A33999 41 185 Method Method NNP A33999 41 186 of of IN A33999 41 187 Calculation Calculation NNP A33999 41 188 for for IN A33999 41 189 Oblique Oblique NNP A33999 41 190 Plains Plains NNPS A33999 41 191 p. p. NN A33999 41 192 28 28 CD A33999 41 193 to to TO A33999 41 194 30 30 CD A33999 41 195 And and CC A33999 41 196 directions direction NNS A33999 41 197 for for IN A33999 41 198 the the DT A33999 41 199 true true JJ A33999 41 200 placing place VBG A33999 41 201 the the DT A33999 41 202 Requisites Requisites NNPS A33999 41 203 suited suit VBN A33999 41 204 thereto thereto NN A33999 41 205 p. p. NN A33999 41 206 30 30 CD A33999 41 207 , , , A33999 41 208 31 31 CD A33999 41 209 The the DT A33999 41 210 general general JJ A33999 41 211 Scheam Scheam NNP A33999 41 212 demonstrated demonstrate VBD A33999 41 213 p. p. 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NN A33999 43 2 49 49 CD A33999 43 3 To to TO A33999 43 4 measure measure VB A33999 43 5 the the DT A33999 43 6 Arks Arks NNPS A33999 43 7 of of IN A33999 43 8 upright upright JJ A33999 43 9 Decliners Decliners NNPS A33999 43 10 by by IN A33999 43 11 Projection Projection NNP A33999 43 12 p. p. NN A33999 43 13 50 50 CD A33999 43 14 Also also RB A33999 43 15 the the DT A33999 43 16 Arks Arks NNP A33999 43 17 of of IN A33999 43 18 leaning lean VBG A33999 43 19 East East NNP A33999 43 20 or or CC A33999 43 21 West West NNP A33999 43 22 Plains Plains NNPS A33999 43 23 thereby thereby RB A33999 43 24 p. p. NN A33999 43 25 51 51 CD A33999 43 26 To to TO A33999 43 27 project project VB A33999 43 28 the the DT A33999 43 29 Sphere Sphere NNP A33999 43 30 for for IN A33999 43 31 Oblique Oblique NNP A33999 43 32 Plains Plains NNPS A33999 43 33 — — : A33999 43 34 To to TO A33999 43 35 measure measure VB A33999 43 36 off off RP A33999 43 37 all all PDT A33999 43 38 the the DT A33999 43 39 Arks Arks NNP A33999 43 40 that that WDT A33999 43 41 can can MD A33999 43 42 be be VB A33999 43 43 found find VBN A33999 43 44 by by IN A33999 43 45 Calculation Calculation NNP A33999 43 46 With with IN A33999 43 47 the the DT A33999 43 48 Demonstration Demonstration NNP A33999 43 49 of of IN A33999 43 50 all all PDT A33999 43 51 the the DT A33999 43 52 former former JJ A33999 43 53 Proportions Proportions NNP A33999 43 54 — — : A33999 43 55 from from IN A33999 43 56 p. p. NN A33999 43 57 52 52 CD A33999 43 58 to to IN A33999 43 59 59 59 CD A33999 43 60 To to TO A33999 43 61 determine determine VB A33999 43 62 what what WP A33999 43 63 Hours hour NNS A33999 43 64 are be VBP A33999 43 65 proper proper JJ A33999 43 66 to to IN A33999 43 67 all all DT A33999 43 68 Plains Plains NNPS A33999 43 69 p. p. NN A33999 43 70 60 60 CD A33999 43 71 to to TO A33999 43 72 61 61 CD A33999 43 73 Another another DT A33999 43 74 Method Method NNP A33999 43 75 of of IN A33999 43 76 inscribing inscribe VBG A33999 43 77 the the DT A33999 43 78 Hour Hour NNP A33999 43 79 - - HYPH A33999 43 80 lines line NNS A33999 43 81 in in IN A33999 43 82 all all DT A33999 43 83 Plains Plains NNPS A33999 43 84 by by IN A33999 43 85 a a DT A33999 43 86 Parallelogram Parallelogram NNP A33999 43 87 p. p. NN A33999 43 88 62 62 CD A33999 43 89 To to TO A33999 43 90 draw draw VB A33999 43 91 the the DT A33999 43 92 Tangent Tangent NNP A33999 43 93 Scheme Scheme NNP A33999 43 94 suited suit VBD A33999 43 95 thereto thereto NN A33999 43 96 p. p. NN A33999 43 97 63 63 CD A33999 43 98 . . . A33999 44 1 The the DT A33999 44 2 Hour Hour NNP A33999 44 3 - - HYPH A33999 44 4 lines line NNS A33999 44 5 so so IN A33999 44 6 inscribed inscribe VBN A33999 44 7 in in IN A33999 44 8 a a DT A33999 44 9 Horizontal Horizontal NNP A33999 44 10 and and CC A33999 44 11 South South NNP A33999 44 12 Dyal Dyal NNP A33999 44 13 p. p. NN A33999 44 14 63 63 CD A33999 44 15 , , , A33999 44 16 64 64 CD A33999 44 17 As as IN A33999 44 18 also also RB A33999 44 19 in in IN A33999 44 20 an an DT A33999 44 21 upright upright JJ A33999 44 22 Decliner Decliner NNP A33999 44 23 p. p. NN A33999 44 24 65 65 CD A33999 44 25 With with IN A33999 44 26 another another DT A33999 44 27 Tangent Tangent NNP A33999 44 28 Scheme Scheme NNP A33999 44 29 suited suit VBN A33999 44 30 thereto thereto NN A33999 44 31 for for IN A33999 44 32 pricking prick VBG A33999 44 33 them -PRON- PRP A33999 44 34 down down RP A33999 44 35 without without IN A33999 44 36 the the DT A33999 44 37 use use NN A33999 44 38 of of IN A33999 44 39 Compasses Compasses NNPS A33999 44 40 p. p. NN A33999 44 41 66 66 CD A33999 44 42 , , , A33999 44 43 67 67 CD A33999 44 44 A a DT A33999 44 45 general general JJ A33999 44 46 Method Method NNP A33999 44 47 without without IN A33999 44 48 proportional proportional JJ A33999 44 49 work work NN A33999 44 50 , , , A33999 44 51 for for IN A33999 44 52 fitting fit VBG A33999 44 53 the the DT A33999 44 54 Parallelogram Parallelogram NNP A33999 44 55 into into IN A33999 44 56 Oblique Oblique NNP A33999 44 57 Plains Plains NNPS A33999 44 58 that that WDT A33999 44 59 have have VBP A33999 44 60 the the DT A33999 44 61 Requisites Requisites NNPS A33999 44 62 first first RB A33999 44 63 placed place VBN A33999 44 64 p. p. NN A33999 44 65 69 69 CD A33999 44 66 , , , A33999 44 67 70 70 CD A33999 44 68 By by IN A33999 44 69 help help NN A33999 44 70 of of IN A33999 44 71 three three CD A33999 44 72 shadows shadow NNS A33999 44 73 to to IN A33999 44 74 finde finde NNP A33999 44 75 a a DT A33999 44 76 Meridian meridian JJ A33999 44 77 - - HYPH A33999 44 78 line line NN A33999 44 79 p. p. NN A33999 44 80 70 70 CD A33999 44 81 , , , A33999 44 82 71 71 CD A33999 44 83 Another another DT A33999 44 84 Scheme Scheme NNP A33999 44 85 suited suit VBN A33999 44 86 to to IN A33999 44 87 that that DT A33999 44 88 purpose purpose NN A33999 44 89 p. p. NN A33999 44 90 73 73 CD A33999 44 91 A a DT A33999 44 92 Method Method NNP A33999 44 93 of of IN A33999 44 94 Calculation Calculation NNP A33999 44 95 for for IN A33999 44 96 finding find VBG A33999 44 97 the the DT A33999 44 98 Azimuth Azimuth NNP A33999 44 99 , , , A33999 44 100 Latitude Latitude NNP A33999 44 101 , , , A33999 44 102 Amplitude Amplitude NNP A33999 44 103 , , , A33999 44 104 & & CC A33999 44 105 c. c. NN A33999 44 106 by by IN A33999 44 107 three three CD A33999 44 108 shadows shadow NNS A33999 44 109 p. p. NN A33999 44 110 75 75 CD A33999 44 111 From from IN A33999 44 112 three three CD A33999 44 113 shadows shadow NNS A33999 44 114 to to TO A33999 44 115 inscribe inscribe VB A33999 44 116 the the DT A33999 44 117 Requisites Requisites NNPS A33999 44 118 and and CC A33999 44 119 Hour Hour NNP A33999 44 120 - - HYPH A33999 44 121 lines line NNS A33999 44 122 in in IN A33999 44 123 any any DT A33999 44 124 Plain Plain NNP A33999 44 125 p. p. NN A33999 44 126 77 77 CD A33999 44 127 Which which WDT A33999 44 128 is be VBZ A33999 44 129 to to TO A33999 44 130 be be VB A33999 44 131 performed perform VBN A33999 44 132 by by IN A33999 44 133 Calculation Calculation NNP A33999 44 134 also also RB A33999 44 135 p. p. NN A33999 44 136 97 97 CD A33999 44 137 Characters character NNS A33999 44 138 used use VBN A33999 44 139 in in IN A33999 44 140 this this DT A33999 44 141 Book Book NNP A33999 44 142 . . . A33999 45 1 + + CC A33999 45 2 Plus plus CC A33999 45 3 , , , A33999 45 4 for for IN A33999 45 5 more more JJR A33999 45 6 , , , A33999 45 7 or or CC A33999 45 8 Addition addition NN A33999 45 9 . . . A33999 46 1 - - : A33999 46 2 Minus Minus NNP A33999 46 3 less less RBR A33999 46 4 , , , A33999 46 5 or or CC A33999 46 6 Substraction substraction NN A33999 46 7 . . . A33999 47 1 = = NFP A33999 47 2 Equal equal JJ A33999 47 3 . . . A33999 48 1 q q NNP A33999 48 2 For for IN A33999 48 3 square square NN A33999 48 4 . . . A33999 49 1 □ □ NFP A33999 49 2 Square square NN A33999 49 3 . . . A33999 50 1 ▭ ▭ IN A33999 50 2 The the DT A33999 50 3 Rectangle Rectangle NNP A33999 50 4 or or CC A33999 50 5 Product Product NNP A33999 50 6 of of IN A33999 50 7 two two CD A33999 50 8 terms term NNS A33999 50 9 . . . A33999 51 1 ∷ ∷ RB A33999 51 2 for for IN A33999 51 3 Proportion proportion NN A33999 51 4 . . . A33999 52 1 If if IN A33999 52 2 the the DT A33999 52 3 Brass Brass NNP A33999 52 4 Prints Prints NNPS A33999 52 5 in in IN A33999 52 6 this this DT A33999 52 7 Book Book NNP A33999 52 8 be be VB A33999 52 9 thought think VBN A33999 52 10 troublesome troublesome JJ A33999 52 11 to to IN A33999 52 12 binde binde NNP A33999 52 13 up up RP A33999 52 14 , , , A33999 52 15 they -PRON- PRP A33999 52 16 may may MD A33999 52 17 be be VB A33999 52 18 placed place VBN A33999 52 19 at at IN A33999 52 20 the the DT A33999 52 21 end end NN A33999 52 22 thereof thereof RB A33999 52 23 , , , A33999 52 24 for for IN A33999 52 25 the the DT A33999 52 26 Pages Pages NNPS A33999 52 27 to to TO A33999 52 28 which which WDT A33999 52 29 they -PRON- PRP A33999 52 30 relate relate VBP A33999 52 31 , , , A33999 52 32 are be VBP A33999 52 33 graved grave VBN A33999 52 34 upon upon IN A33999 52 35 them -PRON- PRP A33999 52 36 . . . A33999 53 1 A a DT A33999 53 2 Quadrant Quadrant NNP A33999 53 3 of of IN A33999 53 4 a a DT A33999 53 5 Circle Circle NNP A33999 53 6 being be VBG A33999 53 7 divided divide VBN A33999 53 8 into into IN A33999 53 9 90d 90d NNS A33999 53 10 , , , A33999 53 11 all all DT A33999 53 12 that that WDT A33999 53 13 is be VBZ A33999 53 14 required require VBN A33999 53 15 in in IN A33999 53 16 this this DT A33999 53 17 Treatise Treatise NNP A33999 53 18 , , , A33999 53 19 is be VBZ A33999 53 20 to to TO A33999 53 21 prick prick VB A33999 53 22 off off RP A33999 53 23 any any DT A33999 53 24 number number NN A33999 53 25 of of IN A33999 53 26 the the DT A33999 53 27 said say VBN A33999 53 28 degrees degree NNS A33999 53 29 with with IN A33999 53 30 their -PRON- PRP$ A33999 53 31 Sub Sub NNP A33999 53 32 - - HYPH A33999 53 33 divisions division NNS A33999 53 34 , , , A33999 53 35 which which WDT A33999 53 36 may may MD A33999 53 37 be be VB A33999 53 38 easily easily RB A33999 53 39 done do VBN A33999 53 40 anywhere anywhere RB A33999 53 41 from from IN A33999 53 42 a a DT A33999 53 43 Quadrant quadrant JJ A33999 53 44 drawn draw VBN A33999 53 45 and and CC A33999 53 46 divided divide VBD A33999 53 47 into into IN A33999 53 48 nine nine CD A33999 53 49 equal equal JJ A33999 53 50 Parts part NNS A33999 53 51 , , , A33999 53 52 and and CC A33999 53 53 one one CD A33999 53 54 of of IN A33999 53 55 those those DT A33999 53 56 parts part NNS A33999 53 57 into into IN A33999 53 58 ten ten CD A33999 53 59 sub sub NN A33999 53 60 - - NNS A33999 53 61 divisions division NNS A33999 53 62 , , , A33999 53 63 called call VBN A33999 53 64 degrees degree NNS A33999 53 65 , , , A33999 53 66 but but CC A33999 53 67 for for IN A33999 53 68 readiness readiness NN A33999 53 69 the the DT A33999 53 70 equal equal JJ A33999 53 71 divisions division NNS A33999 53 72 of of IN A33999 53 73 a a DT A33999 53 74 whole whole NN A33999 53 75 . . . A33999 54 1 Quadrant quadrant NN A33999 54 2 are be VBP A33999 54 3 transferred transfer VBN A33999 54 4 into into IN A33999 54 5 a a DT A33999 54 6 right right JJ A33999 54 7 line line NN A33999 54 8 ( ( -LRB- A33999 54 9 as as IN A33999 54 10 in in IN A33999 54 11 the the DT A33999 54 12 Frontispiece Frontispiece NNP A33999 54 13 ) ) -RRB- A33999 54 14 called call VBD A33999 54 15 a a DT A33999 54 16 Line Line NNP A33999 54 17 of of IN A33999 54 18 Chords Chords NNPS A33999 54 19 , , , A33999 54 20 serving serve VBG A33999 54 21 more more RBR A33999 54 22 expeditly expeditly RB A33999 54 23 to to TO A33999 54 24 prick prick VB A33999 54 25 off off RP A33999 54 26 any any DT A33999 54 27 number number NN A33999 54 28 of of IN A33999 54 29 degrees degree NNS A33999 54 30 or or CC A33999 54 31 minutes minute NNS A33999 54 32 in in IN A33999 54 33 the the DT A33999 54 34 Arch Arch NNP A33999 54 35 of of IN A33999 54 36 a a DT A33999 54 37 Circle Circle NNP A33999 54 38 . . . A33999 55 1 An an DT A33999 55 2 Advertisement advertisement NN A33999 55 3 . . . A33999 56 1 The the DT A33999 56 2 Reader reader NN A33999 56 3 may may MD A33999 56 4 possibly possibly RB A33999 56 5 desire desire VB A33999 56 6 to to TO A33999 56 7 be be VB A33999 56 8 furnished furnish VBN A33999 56 9 with with IN A33999 56 10 such such JJ A33999 56 11 Scales scale NNS A33999 56 12 to to IN A33999 56 13 any any DT A33999 56 14 Radius Radius NNP A33999 56 15 , , , A33999 56 16 these these DT A33999 56 17 and and CC A33999 56 18 all all DT A33999 56 19 manner manner NN A33999 56 20 of of IN A33999 56 21 other other JJ A33999 56 22 Mathematical Mathematical NNP A33999 56 23 Instruments Instruments NNPS A33999 56 24 either either CC A33999 56 25 for for IN A33999 56 26 Sea Sea NNP A33999 56 27 or or CC A33999 56 28 Land Land NNP A33999 56 29 , , , A33999 56 30 are be VBP A33999 56 31 exactly exactly RB A33999 56 32 made make VBN A33999 56 33 in in IN A33999 56 34 Brass Brass NNP A33999 56 35 or or CC A33999 56 36 Wood Wood NNP A33999 56 37 , , , A33999 56 38 by by IN A33999 56 39 Heury Heury NNP A33999 56 40 Sutton Sutton NNP A33999 56 41 in in IN A33999 56 42 Threed Threed NNP A33999 56 43 - - HYPH A33999 56 44 needle needle NN A33999 56 45 - - HYPH A33999 56 46 street street NN A33999 56 47 , , , A33999 56 48 behinde behinde VBD A33999 56 49 the the DT A33999 56 50 Exchange Exchange NNP A33999 56 51 , , , A33999 56 52 or or CC A33999 56 53 by by IN A33999 56 54 William William NNP A33999 56 55 Sutton Sutton NNP A33999 56 56 in in IN A33999 56 57 Upper Upper NNP A33999 56 58 Shadwell Shadwell NNP A33999 56 59 , , , A33999 56 60 a a DT A33999 56 61 little little JJ A33999 56 62 beyond beyond IN A33999 56 63 the the DT A33999 56 64 Church Church NNP A33999 56 65 , , , A33999 56 66 Mathematical Mathematical NNP A33999 56 67 Instrument Instrument NNP A33999 56 68 - - HYPH A33999 56 69 Makers Makers NNP A33999 56 70 . . . A33999 57 1 A a DT A33999 57 2 direct direct JJ A33999 57 3 South South NNP A33999 57 4 Diall Diall NNP A33999 57 5 Reclining Reclining NNP A33999 57 6 60d 60d : A33999 57 7 Lat Lat NNP A33999 57 8 51d 51d NNS A33999 57 9 32′ 32′ CD A33999 57 10 An an DT A33999 57 11 erect erect NN A33999 57 12 direct direct JJ A33999 57 13 North North NNP A33999 57 14 Diall Diall NNP A33999 57 15 Lat Lat NNP A33999 57 16 51d 51d NNS A33999 57 17 32′ 32′ CD A33999 57 18 A a DT A33999 57 19 South South NNP A33999 57 20 Diall Diall NNP A33999 57 21 Declin Declin NNP A33999 57 22 40d 40d NNPS A33999 57 23 East East NNP A33999 57 24 Reclining Reclining NNP A33999 57 25 60d 60d NNPS A33999 57 26 Lat Lat NNP A33999 57 27 51d 51d NNS A33999 57 28 32′ 32′ CD A33999 57 29 A a DT A33999 57 30 North North NNP A33999 57 31 Diall Diall NNP A33999 57 32 Declin Declin NNP A33999 57 33 40d 40d CD A33999 57 34 West West NNP A33999 57 35 Reclining Reclining NNP A33999 57 36 75d 75d '' A33999 57 37 Latitude Latitude NNP A33999 57 38 52d 52d NNS A33999 57 39 32′ 32′ CD A33999 57 40 THE the DT A33999 57 41 DISTINCTION distinction NN A33999 57 42 OF of IN A33999 57 43 DYALS DYALS NNP A33999 57 44 . . . A33999 58 1 THough though IN A33999 58 2 much much JJ A33999 58 3 of of IN A33999 58 4 the the DT A33999 58 5 subject subject NN A33999 58 6 of of IN A33999 58 7 Dyalling dyalle VBG A33999 58 8 hath hath NNP A33999 58 9 been be VBN A33999 58 10 wrote write VBD A33999 58 11 already already RB A33999 58 12 , , , A33999 58 13 by by IN A33999 58 14 divers diver NNS A33999 58 15 in in IN A33999 58 16 diverse diverse JJ A33999 58 17 Languages language NNS A33999 58 18 , , , A33999 58 19 notwithstanding notwithstanding IN A33999 58 20 the the DT A33999 58 21 Reader reader NN A33999 58 22 will will MD A33999 58 23 meet meet VB A33999 58 24 with with IN A33999 58 25 that that DT A33999 58 26 in in IN A33999 58 27 this this DT A33999 58 28 following follow VBG A33999 58 29 Treatise Treatise NNP A33999 58 30 , , , A33999 58 31 which which WDT A33999 58 32 will will MD A33999 58 33 abundantly abundantly RB A33999 58 34 satisfie satisfie VB A33999 58 35 his -PRON- PRP$ A33999 58 36 expectation expectation NN A33999 58 37 , , , A33999 58 38 as as IN A33999 58 39 to to IN A33999 58 40 the the DT A33999 58 41 particulars particular NNS A33999 58 42 in in IN A33999 58 43 the the DT A33999 58 44 Preface Preface NNP A33999 58 45 , , , A33999 58 46 not not RB A33999 58 47 yet yet RB A33999 58 48 divulged divulge VBN A33999 58 49 in in IN A33999 58 50 any any DT A33999 58 51 Treatise Treatise NNP A33999 58 52 of of IN A33999 58 53 this this DT A33999 58 54 nature nature NN A33999 58 55 . . . A33999 59 1 In in IN A33999 59 2 this this DT A33999 59 3 Treatise Treatise NNP A33999 59 4 , , , A33999 59 5 that that IN A33999 59 6 we -PRON- PRP A33999 59 7 might may MD A33999 59 8 not not RB A33999 59 9 be be VB A33999 59 10 too too RB A33999 59 11 large large JJ A33999 59 12 , , , A33999 59 13 divers diver NNS A33999 59 14 definitions definition NNS A33999 59 15 are be VBP A33999 59 16 passed pass VBN A33999 59 17 over over RP A33999 59 18 , , , A33999 59 19 supposing suppose VBG A33999 59 20 that that IN A33999 59 21 the the DT A33999 59 22 Reader Reader NNP A33999 59 23 understands understand VBZ A33999 59 24 what what WP A33999 59 25 a a DT A33999 59 26 Dyal Dyal NNP A33999 59 27 is be VBZ A33999 59 28 , , , A33999 59 29 what what WDT A33999 59 30 hour hour NN A33999 59 31 Lines line NNS A33999 59 32 are be VBP A33999 59 33 , , , A33999 59 34 that that IN A33999 59 35 that that DT A33999 59 36 part part NN A33999 59 37 of of IN A33999 59 38 the the DT A33999 59 39 Stile Stile NNP A33999 59 40 that that WDT A33999 59 41 shews shew VBZ A33999 59 42 the the DT A33999 59 43 hour hour NN A33999 59 44 , , , A33999 59 45 ought ought MD A33999 59 46 to to TO A33999 59 47 be be VB A33999 59 48 in in IN A33999 59 49 the the DT A33999 59 50 Axis Axis NNP A33999 59 51 of of IN A33999 59 52 the the DT A33999 59 53 World World NNP A33999 59 54 , , , A33999 59 55 that that IN A33999 59 56 the the DT A33999 59 57 hour hour NN A33999 59 58 Lines line NNS A33999 59 59 being be VBG A33999 59 60 projected project VBN A33999 59 61 on on IN A33999 59 62 any any DT A33999 59 63 Regular Regular NNP A33999 59 64 Flat Flat NNP A33999 59 65 , , , A33999 59 66 will will MD A33999 59 67 become become VB A33999 59 68 straight straight JJ A33999 59 69 Lines line NNS A33999 59 70 . . . A33999 60 1 Dyals dyal NNS A33999 60 2 are be VBP A33999 60 3 by by IN A33999 60 4 Clavius Clavius NNP A33999 60 5 in in IN A33999 60 6 the the DT A33999 60 7 second second JJ A33999 60 8 Chapter chapter NN A33999 60 9 of of IN A33999 60 10 his -PRON- PRP$ A33999 60 11 Gnomonicks Gnomonicks NNP A33999 60 12 distinguished distinguish VBD A33999 60 13 into into IN A33999 60 14 Seventeen Seventeen NNP A33999 60 15 Kindes Kindes NNP A33999 60 16 . . . A33999 61 1 1 1 LS A33999 61 2 . . . A33999 62 1 The the DT A33999 62 2 Horizontal Horizontal NNP A33999 62 3 , , , A33999 62 4 being be VBG A33999 62 5 parallel parallel JJ A33999 62 6 to to IN A33999 62 7 the the DT A33999 62 8 Horizon Horizon NNP A33999 62 9 . . . A33999 63 1 2 2 LS A33999 63 2 . . . A33999 64 1 South South NNP A33999 64 2 and and CC A33999 64 3 North North NNP A33999 64 4 direct direct JJ A33999 64 5 , , , A33999 64 6 by by IN A33999 64 7 some some DT A33999 64 8 called call VBN A33999 64 9 a a DT A33999 64 10 Vertical vertical JJ A33999 64 11 Dyal Dyal NNP A33999 64 12 , , , A33999 64 13 because because IN A33999 64 14 parallel parallel NN A33999 64 15 to to IN A33999 64 16 the the DT A33999 64 17 prime prime JJ A33999 64 18 Vertical Vertical NNP A33999 64 19 or or CC A33999 64 20 Circle Circle NNP A33999 64 21 of of IN A33999 64 22 East East NNP A33999 64 23 and and CC A33999 64 24 West West NNP A33999 64 25 . . . A33999 65 1 3 3 LS A33999 65 2 . . . A33999 66 1 4 4 LS A33999 66 2 . . . A33999 67 1 South south JJ A33999 67 2 direct direct JJ A33999 67 3 , , , A33999 67 4 Reclining Reclining NNP A33999 67 5 or or CC A33999 67 6 North North NNP A33999 67 7 Inclining Inclining NNP A33999 67 8 less less RBR A33999 67 9 more more JJR A33999 67 10 then then RB A33999 67 11 the the DT A33999 67 12 Pole Pole NNP A33999 67 13 . . . A33999 68 1 5 5 CD A33999 68 2 . . . A33999 69 1 6 6 CD A33999 69 2 . . . A33999 70 1 South south JJ A33999 70 2 direct direct RB A33999 70 3 , , , A33999 70 4 Inclining inclining NN A33999 70 5 or or CC A33999 70 6 North North NNP A33999 70 7 Reclining recline VBG A33999 70 8 less less RBR A33999 70 9 more more JJR A33999 70 10 then then RB A33999 70 11 the the DT A33999 70 12 Equinoctial Equinoctial NNP A33999 70 13 7 7 CD A33999 70 14 . . . A33999 71 1 South south JJ A33999 71 2 direct direct JJ A33999 71 3 Reclining reclining NN A33999 71 4 , , , A33999 71 5 or or CC A33999 71 6 North North NNP A33999 71 7 Inclining incline VBG A33999 71 8 to to IN A33999 71 9 the the DT A33999 71 10 Pole Pole NNP A33999 71 11 , , , A33999 71 12 called call VBD A33999 71 13 a a DT A33999 71 14 direct direct JJ A33999 71 15 Polar Polar NNP A33999 71 16 Plain Plain NNP A33999 71 17 , , , A33999 71 18 because because IN A33999 71 19 Parallel parallel JJ A33999 71 20 thereto thereto NN A33999 71 21 8 8 CD A33999 71 22 . . . A33999 72 1 South south JJ A33999 72 2 direct direct JJ A33999 72 3 Inclining inclining NN A33999 72 4 , , , A33999 72 5 or or CC A33999 72 6 North North NNP A33999 72 7 Reclining recline VBG A33999 72 8 to to IN A33999 72 9 the the DT A33999 72 10 Equator equator NN A33999 72 11 , , , A33999 72 12 called call VBD A33999 72 13 an an DT A33999 72 14 Equinoctial Equinoctial NNP A33999 72 15 Plain Plain NNP A33999 72 16 , , , A33999 72 17 because because IN A33999 72 18 parallel parallel JJ A33999 72 19 thereto thereto NN A33999 72 20 . . . A33999 73 1 9 9 CD A33999 73 2 . . . A33999 74 1 South South NNP A33999 74 2 and and CC A33999 74 3 North North NNP A33999 74 4 , , , A33999 74 5 Declining Declining NNP A33999 74 6 East East NNP A33999 74 7 or or CC A33999 74 8 West West NNP A33999 74 9 . . . A33999 75 1 10 10 CD A33999 75 2 . . . A33999 76 1 East East NNP A33999 76 2 and and CC A33999 76 3 West West NNP A33999 76 4 direct direct RB A33999 76 5 . . . A33999 77 1 11 11 CD A33999 77 2 . . . A33999 78 1 East East NNP A33999 78 2 and and CC A33999 78 3 West West NNP A33999 78 4 direct direct RB A33999 78 5 , , , A33999 78 6 Reclining reclining NN A33999 78 7 or or CC A33999 78 8 Inclining inclining NN A33999 78 9 . . . A33999 79 1 12 12 CD A33999 79 2 . . . A33999 80 1 A a DT A33999 80 2 South South NNP A33999 80 3 North North NNP A33999 80 4 Plain Plain NNP A33999 80 5 declining decline VBG A33999 80 6 East East NNP A33999 80 7 or or CC A33999 80 8 West West NNP A33999 80 9 Reclining recline VBG A33999 80 10 Inclining incline VBG A33999 80 11 to to IN A33999 80 12 the the DT A33999 80 13 Pole Pole NNP A33999 80 14 , , , A33999 80 15 called call VBD A33999 80 16 a a DT A33999 80 17 Polar Polar NNP A33999 80 18 Decliner Decliner NNP A33999 80 19 . . . A33999 81 1 13 13 CD A33999 81 2 . . . A33999 82 1 A a DT A33999 82 2 South South NNP A33999 82 3 North North NNP A33999 82 4 Plain Plain NNP A33999 82 5 Declining Declining NNP A33999 82 6 East East NNP A33999 82 7 or or CC A33999 82 8 West West NNP A33999 82 9 Inclining incline VBG A33999 82 10 Reclining recline VBG A33999 82 11 to to IN A33999 82 12 the the DT A33999 82 13 Equinoctial Equinoctial NNP A33999 82 14 , , , A33999 82 15 called call VBN A33999 82 16 an an DT A33999 82 17 Equinoctial Equinoctial NNP A33999 82 18 Decliner Decliner NNP A33999 82 19 . . . A33999 83 1 14 14 CD A33999 83 2 . . . A33999 84 1 15 15 CD A33999 84 2 . . . A33999 85 1 A a DT A33999 85 2 South South NNP A33999 85 3 North North NNP A33999 85 4 Plain Plain NNP A33999 85 5 Declining Declining NNP A33999 85 6 East East NNP A33999 85 7 or or CC A33999 85 8 West West NNP A33999 85 9 Reclining Reclining NNP A33999 85 10 Inclining incline VBG A33999 85 11 Whereof Whereof NNP A33999 85 12 are be VBP A33999 85 13 two two CD A33999 85 14 sorts sort NNS A33999 85 15 , , , A33999 85 16 the the DT A33999 85 17 one one NN A33999 85 18 passing pass VBG A33999 85 19 above above RB A33999 85 20 , , , A33999 85 21 the the DT A33999 85 22 other other JJ A33999 85 23 beneath beneath IN A33999 85 24 the the DT A33999 85 25 Pole Pole NNP A33999 85 26 16 16 CD A33999 85 27 . . . A33999 86 1 17 17 CD A33999 86 2 . . . A33999 87 1 A. A. NNP A33999 88 1 South South NNP A33999 88 2 North North NNP A33999 88 3 Plain Plain NNP A33999 88 4 Declining Declining NNP A33999 88 5 East East NNP A33999 88 6 or or CC A33999 88 7 West West NNP A33999 88 8 Inclining Inclining NNP A33999 88 9 Reclining recline VBG A33999 88 10 whereof whereof NNP A33999 88 11 are be VBP A33999 88 12 2 2 CD A33999 88 13 . . . A33999 88 14 sorts sort NNS A33999 88 15 , , , A33999 88 16 the the DT A33999 88 17 one one NN A33999 88 18 passing pass VBG A33999 88 19 above above IN A33999 88 20 the the DT A33999 88 21 Equinoctial Equinoctial NNP A33999 88 22 , , , A33999 88 23 the the DT A33999 88 24 other other JJ A33999 88 25 beneath beneath IN A33999 88 26 it -PRON- PRP A33999 88 27 . . . A33999 89 1 Of of IN A33999 89 2 each each DT A33999 89 3 of of IN A33999 89 4 these these DT A33999 89 5 we -PRON- PRP A33999 89 6 shall shall MD A33999 89 7 say say VB A33999 89 8 something something NN A33999 89 9 , , , A33999 89 10 but but CC A33999 89 11 before before IN A33999 89 12 we -PRON- PRP A33999 89 13 proceed proceed VBP A33999 89 14 , , , A33999 89 15 it -PRON- PRP A33999 89 16 will will MD A33999 89 17 be be VB A33999 89 18 necessary necessary JJ A33999 89 19 in in IN A33999 89 20 the the DT A33999 89 21 first first JJ A33999 89 22 place place NN A33999 89 23 to to TO A33999 89 24 shew shew VB A33999 89 25 how how WRB A33999 89 26 to to TO A33999 89 27 finde finde VB A33999 89 28 the the DT A33999 89 29 Scituation scituation NN A33999 89 30 of of IN A33999 89 31 any any DT A33999 89 32 Plain Plain NNP A33999 89 33 . . . A33999 90 1 1 1 LS A33999 90 2 . . . A33999 91 1 To to TO A33999 91 2 finde finde VB A33999 91 3 whether whether IN A33999 91 4 a a DT A33999 91 5 Plain Plain NNP A33999 91 6 be be VB A33999 91 7 Level level NN A33999 91 8 or or CC A33999 91 9 Horizontal horizontal JJ A33999 91 10 . . . A33999 92 1 The the DT A33999 92 2 performance performance NN A33999 92 3 hereof hereof NNP A33999 92 4 is be VBZ A33999 92 5 already already RB A33999 92 6 shewed shew VBN A33999 92 7 by by IN A33999 92 8 Mr. Mr. NNP A33999 92 9 Stirrup Stirrup NNP A33999 92 10 , , , A33999 92 11 in in IN A33999 92 12 his -PRON- PRP$ A33999 92 13 Compleat Compleat NNP A33999 92 14 Dyallist Dyallist NNP A33999 92 15 , , , A33999 92 16 Page Page NNP A33999 92 17 58 58 CD A33999 92 18 . . . A33999 92 19 where where WRB A33999 92 20 he -PRON- PRP A33999 92 21 hath hath VBP A33999 92 22 a a DT A33999 92 23 Scheme Scheme NNP A33999 92 24 to to IN A33999 92 25 this this DT A33999 92 26 purpose purpose NN A33999 92 27 , , , A33999 92 28 I -PRON- PRP A33999 92 29 shall shall MD A33999 92 30 onely onely RB A33999 92 31 mention mention VB A33999 92 32 it -PRON- PRP A33999 92 33 : : : A33999 92 34 Get get VB A33999 92 35 a a DT A33999 92 36 smooth smooth JJ A33999 92 37 Board board NN A33999 92 38 , , , A33999 92 39 let let VB A33999 92 40 it -PRON- PRP A33999 92 41 have have VB A33999 92 42 one one CD A33999 92 43 right right JJ A33999 92 44 edge edge NN A33999 92 45 , , , A33999 92 46 and and CC A33999 92 47 near near RB A33999 92 48 to to IN A33999 92 49 that that DT A33999 92 50 edge edge NN A33999 92 51 , , , A33999 92 52 let let VB A33999 92 53 a a DT A33999 92 54 hole hole NN A33999 92 55 be be VB A33999 92 56 cut cut VBN A33999 92 57 in in IN A33999 92 58 it -PRON- PRP A33999 92 59 for for IN A33999 92 60 a a DT A33999 92 61 Plummet Plummet NNP A33999 92 62 to to TO A33999 92 63 play play VB A33999 92 64 in in RP A33999 92 65 ; ; : A33999 92 66 draw draw VB A33999 92 67 a a DT A33999 92 68 Line Line NNP A33999 92 69 cross cross VB A33999 92 70 the the DT A33999 92 71 Board Board NNP A33999 92 72 Perpendicular Perpendicular NNP A33999 92 73 , , , A33999 92 74 to to IN A33999 92 75 the the DT A33999 92 76 streight streight JJ A33999 92 77 edge edge NN A33999 92 78 thereof thereof IN A33999 92 79 passing pass VBG A33999 92 80 through through IN A33999 92 81 the the DT A33999 92 82 former former JJ A33999 92 83 hole hole NN A33999 92 84 ; ; : A33999 92 85 if if IN A33999 92 86 then then RB A33999 92 87 setting set VBG A33999 92 88 the the DT A33999 92 89 Board Board NNP A33999 92 90 on on IN A33999 92 91 its -PRON- PRP$ A33999 92 92 smooth smooth JJ A33999 92 93 edge edge NN A33999 92 94 , , , A33999 92 95 and and CC A33999 92 96 holding hold VBG A33999 92 97 it -PRON- PRP A33999 92 98 Perpendicularly Perpendicularly NNP A33999 92 99 , , , A33999 92 100 so so IN A33999 92 101 that that IN A33999 92 102 the the DT A33999 92 103 Plummet Plummet NNP A33999 92 104 may may MD A33999 92 105 play play VB A33999 92 106 in in IN A33999 92 107 the the DT A33999 92 108 hole hole NN A33999 92 109 , , , A33999 92 110 if if IN A33999 92 111 which which WDT A33999 92 112 way way NN A33999 92 113 soever soever VBP A33999 92 114 the the DT A33999 92 115 Board Board NNP A33999 92 116 be be VB A33999 92 117 turned turn VBN A33999 92 118 , , , A33999 92 119 the the DT A33999 92 120 threed threed NN A33999 92 121 will will MD A33999 92 122 fall fall VB A33999 92 123 ( ( -LRB- A33999 92 124 being be VBG A33999 92 125 held hold VBN A33999 92 126 upright upright RB A33999 92 127 with with IN A33999 92 128 the the DT A33999 92 129 Plummet Plummet NNP A33999 92 130 at at IN A33999 92 131 the the DT A33999 92 132 end end NN A33999 92 133 of of IN A33999 92 134 it -PRON- PRP A33999 92 135 , , , A33999 92 136 playing play VBG A33999 92 137 in in IN A33999 92 138 the the DT A33999 92 139 former former JJ A33999 92 140 hole hole NN A33999 92 141 ) ) -RRB- A33999 92 142 directly directly RB A33999 92 143 on on IN A33999 92 144 the the DT A33999 92 145 Perpendicular Perpendicular NNP A33999 92 146 Line Line NNP A33999 92 147 drawn draw VBN A33999 92 148 cross cross VB A33999 92 149 the the DT A33999 92 150 Board Board NNP A33999 92 151 , , , A33999 92 152 the the DT A33999 92 153 said say VBD A33999 92 154 Line line NN A33999 92 155 no no DT A33999 92 156 wayes waye NNS A33999 92 157 Reclining recline VBG A33999 92 158 from from IN A33999 92 159 it -PRON- PRP A33999 92 160 , , , A33999 92 161 the the DT A33999 92 162 Plain Plain NNP A33999 92 163 is be VBZ A33999 92 164 Horizontal horizontal JJ A33999 92 165 , , , A33999 92 166 otherwise otherwise RB A33999 92 167 not not RB A33999 92 168 . . . A33999 93 1 3 3 LS A33999 93 2 . . . A33999 94 1 To to TO A33999 94 2 take take VB A33999 94 3 the the DT A33999 94 4 Altitude altitude NN A33999 94 5 of of IN A33999 94 6 the the DT A33999 94 7 Sun Sun NNP A33999 94 8 without without IN A33999 94 9 Instrument Instrument NNP A33999 94 10 . . . A33999 95 1 Upon upon IN A33999 95 2 any any DT A33999 95 3 Smooth Smooth NNP A33999 95 4 Board Board NNP A33999 95 5 , , , A33999 95 6 draw draw VB A33999 95 7 two two CD A33999 95 8 Lines line NNS A33999 95 9 at at IN A33999 95 10 right right JJ A33999 95 11 Angles Angles NNPS A33999 95 12 , , , A33999 95 13 as as IN A33999 95 14 AB AB NNP A33999 95 15 and and CC A33999 95 16 AC AC NNP A33999 95 17 , , , A33999 95 18 and and CC A33999 95 19 upon upon IN A33999 95 20 A A NNP A33999 95 21 as as IN A33999 95 22 a a DT A33999 95 23 Center Center NNP A33999 95 24 with with IN A33999 95 25 60d 60d NNS A33999 95 26 of of IN A33999 95 27 a a DT A33999 95 28 Line Line NNP A33999 95 29 of of IN A33999 95 30 Chords Chords NNPS A33999 95 31 describe describe VBP A33999 95 32 the the DT A33999 95 33 Arch Arch NNP A33999 95 34 BC BC NNP A33999 95 35 , , , A33999 95 36 and and CC A33999 95 37 into into IN A33999 95 38 the the DT A33999 95 39 Center Center NNP A33999 95 40 thereof thereof RB A33999 95 41 , , , A33999 95 42 at at IN A33999 95 43 A a DT A33999 95 44 drive drive NN A33999 95 45 in in IN A33999 95 46 a a DT A33999 95 47 Pin Pin NNP A33999 95 48 or or CC A33999 95 49 Steel Steel NNP A33999 95 50 Needle Needle NNP A33999 95 51 , , , A33999 95 52 upon upon IN A33999 95 53 which which WDT A33999 95 54 hang hang VBP A33999 95 55 a a DT A33999 95 56 threed threed NN A33999 95 57 and and CC A33999 95 58 Plummet Plummet NNP A33999 95 59 , , , A33999 95 60 then then RB A33999 95 61 when when WRB A33999 95 62 you -PRON- PRP A33999 95 63 would would MD A33999 95 64 observe observe VB A33999 95 65 an an DT A33999 95 66 Altitude altitude NN A33999 95 67 , , , A33999 95 68 hold hold VB A33999 95 69 the the DT A33999 95 70 Board Board NNP A33999 95 71 so so RB A33999 95 72 to to IN A33999 95 73 the the DT A33999 95 74 Sun Sun NNP A33999 95 75 , , , A33999 95 76 that that IN A33999 95 77 the the DT A33999 95 78 shaddow shaddow NNP A33999 95 79 of of IN A33999 95 80 the the DT A33999 95 81 Pin Pin NNP A33999 95 82 or or CC A33999 95 83 Needle Needle NNP A33999 95 84 may may MD A33999 95 85 fall fall VB A33999 95 86 on on IN A33999 95 87 the the DT A33999 95 88 Line Line NNP A33999 95 89 AC AC NNP A33999 95 90 , , , A33999 95 91 and and CC A33999 95 92 where where WRB A33999 95 93 the the DT A33999 95 94 threed threed NN A33999 95 95 intersects intersect VBZ A33999 95 96 the the DT A33999 95 97 Arch Arch NNP A33999 95 98 BC BC NNP A33999 95 99 , , , A33999 95 100 set set VBD A33999 95 101 a a DT A33999 95 102 mark mark NN A33999 95 103 , , , A33999 95 104 suppose suppose VB A33999 95 105 at at IN A33999 95 106 E E NNP A33999 95 107 then then RB A33999 95 108 measure measure VB A33999 95 109 the the DT A33999 95 110 Ark Ark NNP A33999 95 111 BE be VB A33999 95 112 on on IN A33999 95 113 your -PRON- PRP$ A33999 95 114 Line Line NNP A33999 95 115 of of IN A33999 95 116 Chords Chords NNPS A33999 95 117 , , , A33999 95 118 and and CC A33999 95 119 it -PRON- PRP A33999 95 120 shews shew VBZ A33999 95 121 the the DT A33999 95 122 Altitude altitude NN A33999 95 123 sought seek VBD A33999 95 124 , , , A33999 95 125 for for IN A33999 95 126 want want NN A33999 95 127 of of IN A33999 95 128 a a DT A33999 95 129 Line Line NNP A33999 95 130 of of IN A33999 95 131 Chords Chords NNPS A33999 95 132 , , , A33999 95 133 you -PRON- PRP A33999 95 134 may may MD A33999 95 135 first first RB A33999 95 136 divide divide VB A33999 95 137 the the DT A33999 95 138 Arch Arch NNP A33999 95 139 BC BC NNP A33999 95 140 into into IN A33999 95 141 9 9 CD A33999 95 142 parts part NNS A33999 95 143 , , , A33999 95 144 and and CC A33999 95 145 the the DT A33999 95 146 first first JJ A33999 95 147 of of IN A33999 95 148 those those DT A33999 95 149 Divisions Divisions NNPS A33999 95 150 into into IN A33999 95 151 10 10 CD A33999 95 152 smaller small JJR A33999 95 153 parts part NNS A33999 95 154 . . . A33999 96 1 3 3 LS A33999 96 2 . . . A33999 97 1 To to TO A33999 97 2 draw draw VB A33999 97 3 a a DT A33999 97 4 Horizontal horizontal JJ A33999 97 5 and and CC A33999 97 6 Vertical vertical JJ A33999 97 7 Line Line NNP A33999 97 8 upon upon IN A33999 97 9 a a DT A33999 97 10 Plain Plain NNP A33999 97 11 . . . A33999 98 1 The the DT A33999 98 2 readyest ready JJS A33999 98 3 and and CC A33999 98 4 most most RBS A33999 98 5 certainest certain JJS A33999 98 6 way way NN A33999 98 7 to to TO A33999 98 8 do do VB A33999 98 9 this this DT A33999 98 10 , , , A33999 98 11 especially especially RB A33999 98 12 if if IN A33999 98 13 the the DT A33999 98 14 Plain plain JJ A33999 98 15 lean lean JJ A33999 98 16 downwards downwards RB A33999 98 17 from from IN A33999 98 18 the the DT A33999 98 19 Zenith Zenith NNP A33999 98 20 , , , A33999 98 21 will will MD A33999 98 22 be be VB A33999 98 23 by by IN A33999 98 24 help help NN A33999 98 25 of of IN A33999 98 26 a a DT A33999 98 27 threed threed NN A33999 98 28 and and CC A33999 98 29 Plummet Plummet NNP A33999 98 30 held hold VBN A33999 98 31 steadily steadily RB A33999 98 32 , , , A33999 98 33 to to TO A33999 98 34 make make VB A33999 98 35 two two CD A33999 98 36 pricks prick NNS A33999 98 37 at at IN A33999 98 38 a a DT A33999 98 39 competent competent JJ A33999 98 40 distance distance NN A33999 98 41 in in IN A33999 98 42 the the DT A33999 98 43 shadow shadow NN A33999 98 44 of of IN A33999 98 45 the the DT A33999 98 46 threed threed NN A33999 98 47 on on IN A33999 98 48 the the DT A33999 98 49 Plain Plain NNP A33999 98 50 , , , A33999 98 51 projected project VBN A33999 98 52 by by IN A33999 98 53 the the DT A33999 98 54 eye eye NN A33999 98 55 , , , A33999 98 56 and and CC A33999 98 57 a a DT A33999 98 58 Line Line NNP A33999 98 59 drawn draw VBN A33999 98 60 through through IN A33999 98 61 those those DT A33999 98 62 , , , A33999 98 63 or or CC A33999 98 64 parallel parallel NN A33999 98 65 to to IN A33999 98 66 those those DT A33999 98 67 two two CD A33999 98 68 points point NNS A33999 98 69 , , , A33999 98 70 shall shall MD A33999 98 71 be be VB A33999 98 72 the the DT A33999 98 73 Plains Plains NNPS A33999 98 74 perpendicular perpendicular JJ A33999 98 75 or or CC A33999 98 76 Vertical Vertical NNP A33999 98 77 Line Line NNP A33999 98 78 , , , A33999 98 79 and and CC A33999 98 80 a a DT A33999 98 81 Line Line NNP A33999 98 82 drawn draw VBN A33999 98 83 perpendicular perpendicular JJ A33999 98 84 to to IN A33999 98 85 the the DT A33999 98 86 said say VBN A33999 98 87 Line Line NNP A33999 98 88 , , , A33999 98 89 shall shall MD A33999 98 90 be be VB A33999 98 91 the the DT A33999 98 92 Plains Plains NNP A33999 98 93 Horizontal Horizontal NNP A33999 98 94 Line Line NNP A33999 98 95 . . . A33999 99 1 To to TO A33999 99 2 finde finde VB A33999 99 3 the the DT A33999 99 4 Reclination reclination NN A33999 99 5 of of IN A33999 99 6 a a DT A33999 99 7 Plain Plain NNP A33999 99 8 . . . A33999 100 1 The the DT A33999 100 2 Reclination Reclination NNP A33999 100 3 of of IN A33999 100 4 a a DT A33999 100 5 Plain Plain NNP A33999 100 6 , , , A33999 100 7 is be VBZ A33999 100 8 the the DT A33999 100 9 Angle Angle NNP A33999 100 10 comprehended comprehend VBN A33999 100 11 between between IN A33999 100 12 the the DT A33999 100 13 Plains Plains NNPS A33999 100 14 perpendicular perpendicular NN A33999 100 15 , , , A33999 100 16 and and CC A33999 100 17 the the DT A33999 100 18 Axis Axis NNP A33999 100 19 of of IN A33999 100 20 the the DT A33999 100 21 Horizon Horizon NNP A33999 100 22 , , , A33999 100 23 and and CC A33999 100 24 the the DT A33999 100 25 same same JJ A33999 100 26 Definition Definition NNP A33999 100 27 may may MD A33999 100 28 serve serve VB A33999 100 29 for for IN A33999 100 30 the the DT A33999 100 31 Inclination Inclination NNP A33999 100 32 , , , A33999 100 33 onely onely RB A33999 100 34 the the DT A33999 100 35 upper upper JJ A33999 100 36 face face NN A33999 100 37 of of IN A33999 100 38 a a DT A33999 100 39 Plain Plain NNP A33999 100 40 , , , A33999 100 41 leaning lean VBG A33999 100 42 from from IN A33999 100 43 the the DT A33999 100 44 Zenith Zenith NNP A33999 100 45 , , , A33999 100 46 is be VBZ A33999 100 47 said say VBN A33999 100 48 to to IN A33999 100 49 recline recline CD A33999 100 50 , , , A33999 100 51 and and CC A33999 100 52 the the DT A33999 100 53 under under JJ A33999 100 54 face face NN A33999 100 55 to to IN A33999 100 56 incline incline NN A33999 100 57 . . . A33999 101 1 In in IN A33999 101 2 this this DT A33999 101 3 sense sense NN A33999 101 4 Mr. Mr. NNP A33999 101 5 Oughtred Oughtred NNP A33999 101 6 in in IN A33999 101 7 his -PRON- PRP$ A33999 101 8 Circles Circles NNP A33999 101 9 of of IN A33999 101 10 Proportion proportion NN A33999 101 11 , , , A33999 101 12 Mr. Mr. NNP A33999 101 13 Wells Wells NNP A33999 101 14 in in IN A33999 101 15 his -PRON- PRP$ A33999 101 16 Dyalling dyalling NN A33999 101 17 , , , A33999 101 18 Mr. Mr. NNP A33999 101 19 Newton Newton NNP A33999 101 20 in in IN A33999 101 21 his -PRON- PRP$ A33999 101 22 Institution Institution NNP A33999 101 23 , , , A33999 101 24 and and CC A33999 101 25 Mr. Mr. NNP A33999 101 26 Foster Foster NNP A33999 101 27 in in IN A33999 101 28 his -PRON- PRP$ A33999 101 29 late late JJ A33999 101 30 writings writing NNS A33999 101 31 , , , A33999 101 32 understand understand VB A33999 101 33 it -PRON- PRP A33999 101 34 , , , A33999 101 35 and and CC A33999 101 36 so so RB A33999 101 37 it -PRON- PRP A33999 101 38 is be VBZ A33999 101 39 to to TO A33999 101 40 be be VB A33999 101 41 taken take VBN A33999 101 42 throughout throughout IN A33999 101 43 this this DT A33999 101 44 Treatise Treatise NNP A33999 101 45 ; ; : A33999 101 46 but but CC A33999 101 47 here here RB A33999 101 48 it -PRON- PRP A33999 101 49 will will MD A33999 101 50 not not RB A33999 101 51 be be VB A33999 101 52 amiss amiss JJ A33999 101 53 to to TO A33999 101 54 intimate intimate VB A33999 101 55 that that IN A33999 101 56 Mr. Mr. NNP A33999 101 57 Gunter Gunter NNP A33999 101 58 , , , A33999 101 59 Mr. Mr. NNP A33999 101 60 Wingate Wingate NNP A33999 101 61 , , , A33999 101 62 and and CC A33999 101 63 Mr. Mr. NNP A33999 101 64 Foster Foster NNP A33999 101 65 in in IN A33999 101 66 a a DT A33999 101 67 Treatise Treatise NNP A33999 101 68 of of IN A33999 101 69 a a DT A33999 101 70 Quadrant Quadrant NNP A33999 101 71 , , , A33999 101 72 published publish VBN A33999 101 73 in in IN A33999 101 74 Anno Anno NNP A33999 101 75 1638 1638 CD A33999 101 76 . . . A33999 101 77 account account VBP A33999 101 78 the the DT A33999 101 79 Inclination Inclination NNP A33999 101 80 from from IN A33999 101 81 the the DT A33999 101 82 Horizon Horizon NNP A33999 101 83 ; ; : A33999 101 84 the the DT A33999 101 85 complement complement NN A33999 101 86 of of IN A33999 101 87 the the DT A33999 101 88 Angle Angle NNP A33999 101 89 here here RB A33999 101 90 defined define VBN A33999 101 91 , , , A33999 101 92 and and CC A33999 101 93 accordingly accordingly RB A33999 101 94 have have VBP A33999 101 95 suited suit VBN A33999 101 96 their -PRON- PRP$ A33999 101 97 Proportions Proportions NNP A33999 101 98 thereto thereto NN A33999 101 99 , , , A33999 101 100 in in IN A33999 101 101 which which WDT A33999 101 102 sense sense NN A33999 101 103 , , , A33999 101 104 the the DT A33999 101 105 Reclining Reclining NNP A33999 101 106 side side NN A33999 101 107 is be VBZ A33999 101 108 said say VBN A33999 101 109 to to TO A33999 101 110 be be VB A33999 101 111 the the DT A33999 101 112 upper upper JJ A33999 101 113 face face NN A33999 101 114 of of IN A33999 101 115 an an DT A33999 101 116 Incliner Incliner NNP A33999 101 117 ; ; : A33999 101 118 but but CC A33999 101 119 for for IN A33999 101 120 the the DT A33999 101 121 future future NN A33999 101 122 it -PRON- PRP A33999 101 123 will will MD A33999 101 124 be be VB A33999 101 125 inconvenient inconvenient JJ A33999 101 126 to to TO A33999 101 127 take take VB A33999 101 128 it -PRON- PRP A33999 101 129 any any DT A33999 101 130 more more RBR A33999 101 131 in in IN A33999 101 132 that that DT A33999 101 133 Acception acception NN A33999 101 134 . . . A33999 102 1 Now now RB A33999 102 2 to to TO A33999 102 3 finde finde VB A33999 102 4 the the DT A33999 102 5 Reclination reclination NN A33999 102 6 of of IN A33999 102 7 a a DT A33999 102 8 Plain Plain NNP A33999 102 9 , , , A33999 102 10 apply apply VB A33999 102 11 the the DT A33999 102 12 streight streight JJ A33999 102 13 edge edge NN A33999 102 14 of of IN A33999 102 15 the the DT A33999 102 16 Board Board NNP A33999 102 17 we -PRON- PRP A33999 102 18 used use VBD A33999 102 19 for for IN A33999 102 20 trying try VBG A33999 102 21 of of IN A33999 102 22 Horizontal Horizontal NNP A33999 102 23 Plains Plains NNPS A33999 102 24 , , , A33999 102 25 to to IN A33999 102 26 the the DT A33999 102 27 Plains Plains NNPS A33999 102 28 perpendicular perpendicular NN A33999 102 29 , , , A33999 102 30 holding hold VBG A33999 102 31 the the DT A33999 102 32 threed threed NN A33999 102 33 and and CC A33999 102 34 plummet plummet VBP A33999 102 35 so so RB A33999 102 36 in in IN A33999 102 37 the the DT A33999 102 38 grooved grooved JJ A33999 102 39 hole hole NN A33999 102 40 , , , A33999 102 41 that that IN A33999 102 42 it -PRON- PRP A33999 102 43 may may MD A33999 102 44 intersect intersect VB A33999 102 45 the the DT A33999 102 46 line line NN A33999 102 47 , , , A33999 102 48 parallel parallel JJ A33999 102 49 to to IN A33999 102 50 the the DT A33999 102 51 streight streight JJ A33999 102 52 edge edge NN A33999 102 53 of of IN A33999 102 54 the the DT A33999 102 55 Board Board NNP A33999 102 56 , , , A33999 102 57 and and CC A33999 102 58 make make VB A33999 102 59 two two CD A33999 102 60 pricks prick NNS A33999 102 61 upon upon IN A33999 102 62 the the DT A33999 102 63 Board Board NNP A33999 102 64 where where WRB A33999 102 65 the the DT A33999 102 66 threed threed JJ A33999 102 67 passeth passeth NN A33999 102 68 , , , A33999 102 69 and and CC A33999 102 70 it -PRON- PRP A33999 102 71 will will MD A33999 102 72 make make VB A33999 102 73 an an DT A33999 102 74 Angle angle NN A33999 102 75 with with IN A33999 102 76 the the DT A33999 102 77 said say VBN A33999 102 78 Line line NN A33999 102 79 , , , A33999 102 80 equal equal JJ A33999 102 81 to to IN A33999 102 82 the the DT A33999 102 83 Plains Plains NNPS A33999 102 84 Reclination Reclination NNP A33999 102 85 , , , A33999 102 86 to to TO A33999 102 87 be be VB A33999 102 88 measured measure VBN A33999 102 89 with with IN A33999 102 90 Chords Chords NNPS A33999 102 91 , , , A33999 102 92 according accord VBG A33999 102 93 as as IN A33999 102 94 was be VBD A33999 102 95 directed direct VBN A33999 102 96 for for IN A33999 102 97 taking take VBG A33999 102 98 of of IN A33999 102 99 Altitudes altitude NNS A33999 102 100 ; ; : A33999 102 101 and and CC A33999 102 102 if if IN A33999 102 103 need need NN A33999 102 104 require require VBP A33999 102 105 , , , A33999 102 106 a a DT A33999 102 107 Line Line NNP A33999 102 108 may may MD A33999 102 109 be be VB A33999 102 110 drawn draw VBN A33999 102 111 parallel parallel JJ A33999 102 112 to to IN A33999 102 113 that that DT A33999 102 114 drawn draw VBN A33999 102 115 on on IN A33999 102 116 the the DT A33999 102 117 Board Board NNP A33999 102 118 , , , A33999 102 119 which which WDT A33999 102 120 represented represent VBD A33999 102 121 the the DT A33999 102 122 threed threed NN A33999 102 123 , , , A33999 102 124 which which WDT A33999 102 125 will will MD A33999 102 126 make make VB A33999 102 127 the the DT A33999 102 128 same same JJ A33999 102 129 Angle Angle NNP A33999 102 130 with with IN A33999 102 131 the the DT A33999 102 132 Plains Plains NNPS A33999 102 133 perpendicular perpendicular NN A33999 102 134 , , , A33999 102 135 the the DT A33999 102 136 former former JJ A33999 102 137 Line Line NNP A33999 102 138 did do VBD A33999 102 139 . . . A33999 103 1 The the DT A33999 103 2 Inclination Inclination NNP A33999 103 3 will will MD A33999 103 4 be be VB A33999 103 5 easily easily RB A33999 103 6 got get VBN A33999 103 7 , , , A33999 103 8 by by IN A33999 103 9 applying apply VBG A33999 103 10 the the DT A33999 103 11 streight streight JJ A33999 103 12 edge edge NN A33999 103 13 of of IN A33999 103 14 the the DT A33999 103 15 Board Board NNP A33999 103 16 , , , A33999 103 17 to to IN A33999 103 18 the the DT A33999 103 19 Plains Plains NNPS A33999 103 20 perpendicular perpendicular JJ A33999 103 21 , , , A33999 103 22 and and CC A33999 103 23 holding hold VBG A33999 103 24 the the DT A33999 103 25 threed threed NN A33999 103 26 and and CC A33999 103 27 plummet plummet VBP A33999 103 28 so so RB A33999 103 29 at at IN A33999 103 30 liberty liberty NN A33999 103 31 , , , A33999 103 32 as as IN A33999 103 33 that that IN A33999 103 34 it -PRON- PRP A33999 103 35 may may MD A33999 103 36 cross cross VB A33999 103 37 the the DT A33999 103 38 Line Line NNP A33999 103 39 parallel parallel JJ A33999 103 40 to to IN A33999 103 41 the the DT A33999 103 42 Boards Boards NNP A33999 103 43 streight streight NN A33999 103 44 edge edge NN A33999 103 45 , , , A33999 103 46 and and CC A33999 103 47 it -PRON- PRP A33999 103 48 will will MD A33999 103 49 make make VB A33999 103 50 an an DT A33999 103 51 Angle angle JJ A33999 103 52 therewith therewith NN A33999 103 53 , , , A33999 103 54 equal equal JJ A33999 103 55 to to IN A33999 103 56 the the DT A33999 103 57 Plains Plains NNPS A33999 103 58 Inclination Inclination NNP A33999 103 59 . . . A33999 104 1 Of of IN A33999 104 2 Declining Declining NNP A33999 104 3 Plains Plains NNPS A33999 104 4 . . . A33999 105 1 A a DT A33999 105 2 Plain Plain NNP A33999 105 3 hath hath NN A33999 105 4 its -PRON- PRP$ A33999 105 5 Denominations denomination NNS A33999 105 6 from from IN A33999 105 7 the the DT A33999 105 8 Scituation scituation NN A33999 105 9 of of IN A33999 105 10 its -PRON- PRP$ A33999 105 11 Poles Poles NNPS A33999 105 12 : : : A33999 105 13 by by IN A33999 105 14 the the DT A33999 105 15 Poles Poles NNPS A33999 105 16 of of IN A33999 105 17 a a DT A33999 105 18 Plain Plain NNP A33999 105 19 , , , A33999 105 20 is be VBZ A33999 105 21 meant mean VBN A33999 105 22 a a DT A33999 105 23 Line Line NNP A33999 105 24 imagined imagine VBN A33999 105 25 to to TO A33999 105 26 pass pass VB A33999 105 27 through through RP A33999 105 28 the the DT A33999 105 29 Plain Plain NNP A33999 105 30 at at IN A33999 105 31 right right JJ A33999 105 32 Angles Angles NNP A33999 105 33 thereto thereto NN A33999 105 34 , , , A33999 105 35 the the DT A33999 105 36 Extremities Extremities NNPS A33999 105 37 of of IN A33999 105 38 which which WDT A33999 105 39 Line Line NNP A33999 105 40 on on IN A33999 105 41 both both DT A33999 105 42 sides side NNS A33999 105 43 the the DT A33999 105 44 Plain Plain NNP A33999 105 45 , , , A33999 105 46 are be VBP A33999 105 47 called call VBN A33999 105 48 its -PRON- PRP$ A33999 105 49 Poles Poles NNPS A33999 105 50 . . . A33999 106 1 If if IN A33999 106 2 a a DT A33999 106 3 Plain Plain NNP A33999 106 4 look look NN A33999 106 5 full full JJ A33999 106 6 South South NNP A33999 106 7 , , , A33999 106 8 without without IN A33999 106 9 swerving swerve VBG A33999 106 10 , , , A33999 106 11 either either CC A33999 106 12 to to IN A33999 106 13 the the DT A33999 106 14 East East NNP A33999 106 15 or or CC A33999 106 16 West West NNP A33999 106 17 ; ; : A33999 106 18 it -PRON- PRP A33999 106 19 is be VBZ A33999 106 20 said say VBN A33999 106 21 to to TO A33999 106 22 be be VB A33999 106 23 a a DT A33999 106 24 direct direct JJ A33999 106 25 South South NNP A33999 106 26 Plain Plain NNP A33999 106 27 , , , A33999 106 28 if if IN A33999 106 29 it -PRON- PRP A33999 106 30 swerve swerve VBP A33999 106 31 towards towards IN A33999 106 32 East East NNP A33999 106 33 or or CC A33999 106 34 West West NNP A33999 106 35 , , , A33999 106 36 it -PRON- PRP A33999 106 37 is be VBZ A33999 106 38 said say VBN A33999 106 39 to to TO A33999 106 40 decline decline VB A33999 106 41 thereto thereto NN A33999 106 42 ; ; : A33999 106 43 if if IN A33999 106 44 it -PRON- PRP A33999 106 45 stand stand VBP A33999 106 46 upright upright JJ A33999 106 47 without without IN A33999 106 48 leaning lean VBG A33999 106 49 , , , A33999 106 50 it -PRON- PRP A33999 106 51 is be VBZ A33999 106 52 said say VBN A33999 106 53 to to TO A33999 106 54 be be VB A33999 106 55 erect erect NN A33999 106 56 Now now RB A33999 106 57 a a DT A33999 106 58 South South NNP A33999 106 59 Plain Plain NNP A33999 106 60 that that WDT A33999 106 61 declines decline VBZ A33999 106 62 Eastward Eastward NNP A33999 106 63 , , , A33999 106 64 the the DT A33999 106 65 opposite opposite JJ A33999 106 66 face face NN A33999 106 67 thereto thereto NN A33999 106 68 , , , A33999 106 69 is be VBZ A33999 106 70 said say VBN A33999 106 71 to to TO A33999 106 72 be be VB A33999 106 73 a a DT A33999 106 74 North North NNP A33999 106 75 Plain Plain NNP A33999 106 76 declining decline VBG A33999 106 77 as as RB A33999 106 78 much much JJ A33999 106 79 Westward Westward NNP A33999 106 80 , , , A33999 106 81 by by IN A33999 106 82 which which WDT A33999 106 83 means mean VBZ A33999 106 84 the the DT A33999 106 85 Declination declination NN A33999 106 86 of of IN A33999 106 87 a a DT A33999 106 88 Plain Plain NNP A33999 106 89 will will MD A33999 106 90 never never RB A33999 106 91 exceed exceed VB A33999 106 92 90d 90d NNS A33999 106 93 , , , A33999 106 94 and and CC A33999 106 95 to to TO A33999 106 96 which which WDT A33999 106 97 sense sense VB A33999 106 98 the the DT A33999 106 99 following follow VBG A33999 106 100 directions direction NNS A33999 106 101 toroughout toroughout IN A33999 106 102 this this DT A33999 106 103 Treatise Treatise NNP A33999 106 104 are be VBP A33999 106 105 suited suit VBN A33999 106 106 . . . A33999 107 1 Now now RB A33999 107 2 we -PRON- PRP A33999 107 3 may may MD A33999 107 4 define define VB A33999 107 5 the the DT A33999 107 6 Declination declination NN A33999 107 7 of of IN A33999 107 8 a a DT A33999 107 9 Plain Plain NNP A33999 107 10 to to TO A33999 107 11 be be VB A33999 107 12 the the DT A33999 107 13 Arch Arch NNP A33999 107 14 of of IN A33999 107 15 the the DT A33999 107 16 Horizon Horizon NNP A33999 107 17 , , , A33999 107 18 contained contain VBN A33999 107 19 between between IN A33999 107 20 the the DT A33999 107 21 true true JJ A33999 107 22 Points Points NNPS A33999 107 23 of of IN A33999 107 24 East East NNP A33999 107 25 or or CC A33999 107 26 West West NNP A33999 107 27 , , , A33999 107 28 and and CC A33999 107 29 the the DT A33999 107 30 Plain plain JJ A33999 107 31 , , , A33999 107 32 equal equal JJ A33999 107 33 whereto whereto NN A33999 107 34 is be VBZ A33999 107 35 the the DT A33999 107 36 Arch Arch NNP A33999 107 37 of of IN A33999 107 38 the the DT A33999 107 39 Horizon Horizon NNP A33999 107 40 between between IN A33999 107 41 the the DT A33999 107 42 true true JJ A33999 107 43 North North NNP A33999 107 44 or or CC A33999 107 45 South South NNP A33999 107 46 , , , A33999 107 47 and and CC A33999 107 48 that that IN A33999 107 49 Vertical Vertical NNP A33999 107 50 Circle Circle NNP A33999 107 51 or or CC A33999 107 52 Azimuth Azimuth NNP A33999 107 53 that that WDT A33999 107 54 passeth passeth NN A33999 107 55 through through IN A33999 107 56 the the DT A33999 107 57 Plains Plains NNPS A33999 107 58 Poles Poles NNPS A33999 107 59 . . . A33999 108 1 To to TO A33999 108 2 finde finde VB A33999 108 3 the the DT A33999 108 4 Declination declination NN A33999 108 5 of of IN A33999 108 6 a a DT A33999 108 7 Plain Plain NNP A33999 108 8 . . . A33999 109 1 Upon upon IN A33999 109 2 a a DT A33999 109 3 Board Board NNP A33999 109 4 , , , A33999 109 5 having have VBG A33999 109 6 one one CD A33999 109 7 streight streight JJ A33999 109 8 smooth smooth JJ A33999 109 9 edge edge NN A33999 109 10 , , , A33999 109 11 draw draw VB A33999 109 12 a a DT A33999 109 13 Line line NN A33999 109 14 parallel parallel NN A33999 109 15 thereto thereto NN A33999 109 16 , , , A33999 109 17 and and CC A33999 109 18 thereon thereon NN A33999 109 19 describe describe VBP A33999 109 20 a a DT A33999 109 21 Semicircle Semicircle NNP A33999 109 22 , , , A33999 109 23 with with IN A33999 109 24 the the DT A33999 109 25 Radius Radius NNP A33999 109 26 of of IN A33999 109 27 the the DT A33999 109 28 Chords Chords NNPS A33999 109 29 , , , A33999 109 30 which which WDT A33999 109 31 distinguish distinguish VBP A33999 109 32 into into IN A33999 109 33 two two CD A33999 109 34 Quadrants quadrant NNS A33999 109 35 by by IN A33999 109 36 a a DT A33999 109 37 perpendicular perpendicular NN A33999 109 38 from from IN A33999 109 39 the the DT A33999 109 40 Center Center NNP A33999 109 41 ; ; : A33999 109 42 then then RB A33999 109 43 holding hold VBG A33999 109 44 the the DT A33999 109 45 Board Board NNP A33999 109 46 parallel parallel NN A33999 109 47 to to IN A33999 109 48 the the DT A33999 109 49 Horizon Horizon NNP A33999 109 50 , , , A33999 109 51 and and CC A33999 109 52 applying apply VBG A33999 109 53 the the DT A33999 109 54 streight streight JJ A33999 109 55 edge edge NN A33999 109 56 to to IN A33999 109 57 the the DT A33999 109 58 Wall Wall NNP A33999 109 59 , , , A33999 109 60 hold hold VB A33999 109 61 up up RP A33999 109 62 a a DT A33999 109 63 threed threed NN A33999 109 64 and and CC A33999 109 65 Plummet Plummet NNP A33999 109 66 , , , A33999 109 67 so so IN A33999 109 68 that that IN A33999 109 69 the the DT A33999 109 70 shadow shadow NN A33999 109 71 thereof thereof RB A33999 109 72 may may MD A33999 109 73 pass pass VB A33999 109 74 through through IN A33999 109 75 the the DT A33999 109 76 Center Center NNP A33999 109 77 , , , A33999 109 78 and and CC A33999 109 79 in in IN A33999 109 80 the the DT A33999 109 81 shadow shadow NN A33999 109 82 , , , A33999 109 83 make make VB A33999 109 84 a a DT A33999 109 85 mark mark NN A33999 109 86 near near IN A33999 109 87 the the DT A33999 109 88 Limb Limb NNP A33999 109 89 , , , A33999 109 90 from from IN A33999 109 91 which which WDT A33999 109 92 a a DT A33999 109 93 Line Line NNP A33999 109 94 drawn draw VBN A33999 109 95 into into IN A33999 109 96 the the DT A33999 109 97 Center Center NNP A33999 109 98 shal shal NN A33999 109 99 represent represent VBP A33999 109 100 the the DT A33999 109 101 shadow shadow NN A33999 109 102 of of IN A33999 109 103 the the DT A33999 109 104 thread thread NN A33999 109 105 . . . A33999 110 1 In in IN A33999 110 2 this this DT A33999 110 3 Scheam Scheam NNP A33999 110 4 , , , A33999 110 5 let let VB A33999 110 6 ☉ ☉ NNP A33999 110 7 C c PRP A33999 110 8 represent represent VB A33999 110 9 the the DT A33999 110 10 shadow shadow NN A33999 110 11 of of IN A33999 110 12 the the DT A33999 110 13 threed threed NN A33999 110 14 passing pass VBG A33999 110 15 thorow thorow VB A33999 110 16 the the DT A33999 110 17 Center Center NNP A33999 110 18 ; ; : A33999 110 19 at at IN A33999 110 20 the the DT A33999 110 21 same same JJ A33999 110 22 instant instant NN A33999 110 23 , , , A33999 110 24 take take VB A33999 110 25 the the DT A33999 110 26 Suns Suns NNPS A33999 110 27 Altitude Altitude NNP A33999 110 28 , , , A33999 110 29 and and CC A33999 110 30 by by IN A33999 110 31 the the DT A33999 110 32 following follow VBG A33999 110 33 directions direction NNS A33999 110 34 , , , A33999 110 35 finde finde NN A33999 110 36 the the DT A33999 110 37 Suns Suns NNPS A33999 110 38 true true JJ A33999 110 39 Azimuth azimuth NN A33999 110 40 . . . A33999 111 1 Admit admit VB A33999 111 2 the the DT A33999 111 3 Sun Sun NNP A33999 111 4 be be VB A33999 111 5 75d 75d NNS A33999 111 6 to to IN A33999 111 7 the the DT A33999 111 8 Eastwards eastward NNS A33999 111 9 of of IN A33999 111 10 the the DT A33999 111 11 South South NNP A33999 111 12 , , , A33999 111 13 prick prick VB A33999 111 14 it -PRON- PRP A33999 111 15 from from IN A33999 111 16 ☉ ☉ NNP A33999 111 17 to to IN A33999 111 18 S S NNP A33999 111 19 , , , A33999 111 20 then then RB A33999 111 21 the the DT A33999 111 22 distance distance NN A33999 111 23 between between IN A33999 111 24 P p NN A33999 111 25 and and CC A33999 111 26 S S NNP A33999 111 27 shews shew VBZ A33999 111 28 the the DT A33999 111 29 quantity quantity NN A33999 111 30 of of IN A33999 111 31 the the DT A33999 111 32 Plains Plains NNP A33999 111 33 Declination Declination NNP A33999 111 34 , , , A33999 111 35 and and CC A33999 111 36 the the DT A33999 111 37 Coast Coast NNP A33999 111 38 is be VBZ A33999 111 39 also also RB A33999 111 40 shewn shew VBN A33999 111 41 , , , A33999 111 42 for for IN A33999 111 43 if if IN A33999 111 44 P p NN A33999 111 45 fall fall VBP A33999 111 46 to to IN A33999 111 47 the the DT A33999 111 48 Eastwards eastward NNS A33999 111 49 of of IN A33999 111 50 S S NNP A33999 111 51 , , , A33999 111 52 the the DT A33999 111 53 Declination Declination NNP A33999 111 54 is be VBZ A33999 111 55 Eastwards eastward NNS A33999 111 56 , , , A33999 111 57 if if IN A33999 111 58 to to IN A33999 111 59 the the DT A33999 111 60 Westwards Westwards NNP A33999 111 61 of of IN A33999 111 62 it -PRON- PRP A33999 111 63 , , , A33999 111 64 it -PRON- PRP A33999 111 65 is be VBZ A33999 111 66 Westward Westward NNP A33999 111 67 ; ; : A33999 111 68 in in IN A33999 111 69 this this DT A33999 111 70 Example example NN A33999 111 71 it -PRON- PRP A33999 111 72 is be VBZ A33999 111 73 30d 30d CD A33999 111 74 Eastwards eastward NNS A33999 111 75 . . . A33999 112 1 We -PRON- PRP A33999 112 2 may may MD A33999 112 3 suppose suppose VB A33999 112 4 that that IN A33999 112 5 the the DT A33999 112 6 Reader Reader NNP A33999 112 7 knoweth knoweth NNP A33999 112 8 which which WDT A33999 112 9 way way NN A33999 112 10 from from IN A33999 112 11 the the DT A33999 112 12 Line Line NNP A33999 112 13 of of IN A33999 112 14 shadow shadow NN A33999 112 15 to to TO A33999 112 16 set set VB A33999 112 17 of of IN A33999 112 18 the the DT A33999 112 19 Suns Suns NNPS A33999 112 20 true true JJ A33999 112 21 Coast Coast NNP A33999 112 22 , , , A33999 112 23 that that IN A33999 112 24 he -PRON- PRP A33999 112 25 may may MD A33999 112 26 easily easily RB A33999 112 27 do do VB A33999 112 28 by by IN A33999 112 29 observing observe VBG A33999 112 30 the the DT A33999 112 31 Coast Coast NNP A33999 112 32 of of IN A33999 112 33 his -PRON- PRP$ A33999 112 34 rising rise VBG A33999 112 35 or or CC A33999 112 36 setting set VBG A33999 112 37 , , , A33999 112 38 or or CC A33999 112 39 whether whether IN A33999 112 40 his -PRON- PRP$ A33999 112 41 Altitude altitude NN A33999 112 42 increase increase NN A33999 112 43 or or CC A33999 112 44 decrease decrease NN A33999 112 45 , , , A33999 112 46 and and CC A33999 112 47 needs need VBZ A33999 112 48 no no DT A33999 112 49 directions direction NNS A33999 112 50 . . . A33999 113 1 A a DT A33999 113 2 General General NNP A33999 113 3 Proportion Proportion NNP A33999 113 4 for for IN A33999 113 5 finding find VBG A33999 113 6 the the DT A33999 113 7 Azimuth Azimuth NNP A33999 113 8 . . . A33999 114 1 As as IN A33999 114 2 the the DT A33999 114 3 Cosine Cosine NNP A33999 114 4 of of IN A33999 114 5 the the DT A33999 114 6 Altitude altitude NN A33999 114 7 , , , A33999 114 8 Is be VBZ A33999 114 9 to to IN A33999 114 10 the the DT A33999 114 11 Secant secant NN A33999 114 12 of of IN A33999 114 13 the the DT A33999 114 14 Latitude Latitude NNP A33999 114 15 , , , A33999 114 16 Or or CC A33999 114 17 as as IN A33999 114 18 the the DT A33999 114 19 Cosine Cosine NNP A33999 114 20 of of IN A33999 114 21 the the DT A33999 114 22 Latitude Latitude NNP A33999 114 23 : : : A33999 114 24 Is be VBZ A33999 114 25 to to IN A33999 114 26 the the DT A33999 114 27 Secant secant NN A33999 114 28 of of IN A33999 114 29 the the DT A33999 114 30 Altitude altitude NN A33999 114 31 ; ; : A33999 114 32 So so RB A33999 114 33 is be VBZ A33999 114 34 the the DT A33999 114 35 difference difference NN A33999 114 36 of of IN A33999 114 37 the the DT A33999 114 38 Versed Versed NNP A33999 114 39 Sines Sines NNPS A33999 114 40 of of IN A33999 114 41 the the DT A33999 114 42 Suns Suns NNP A33999 114 43 distance distance NN A33999 114 44 from from IN A33999 114 45 the the DT A33999 114 46 elevated elevated JJ A33999 114 47 Pole Pole NNP A33999 114 48 , , , A33999 114 49 and and CC A33999 114 50 of of IN A33999 114 51 the the DT A33999 114 52 Ark Ark NNP A33999 114 53 of of IN A33999 114 54 difference difference NN A33999 114 55 between between IN A33999 114 56 the the DT A33999 114 57 Latitude Latitude NNP A33999 114 58 and and CC A33999 114 59 Altitude Altitude NNP A33999 114 60 . . . A33999 115 1 To to IN A33999 115 2 the the DT A33999 115 3 Versed Versed NNP A33999 115 4 Sine Sine NNP A33999 115 5 of of IN A33999 115 6 the the DT A33999 115 7 Azimuth Azimuth NNP A33999 115 8 from from IN A33999 115 9 the the DT A33999 115 10 North North NNP A33999 115 11 in in IN A33999 115 12 this this DT A33999 115 13 Hemisphere Hemisphere NNP A33999 115 14 . . . A33999 116 1 Declination Declination NNP A33999 116 2 23d 23d CD A33999 116 3 31′ 31′ CD A33999 116 4 , , , A33999 116 5 North North NNP A33999 116 6 . . . A33999 117 1 Latitude latitude NN A33999 117 2 51d 51d NNS A33999 117 3 32′ 32′ CD A33999 117 4 Altitude altitude NN A33999 117 5 41d 41d NNS A33999 117 6 : : : A33999 117 7 34′ 34′ CD A33999 117 8 Azimuth azimuth NN A33999 117 9 105d 105d NNPS A33999 117 10 from from IN A33999 117 11 the the DT A33999 117 12 North North NNP A33999 117 13 Upon upon IN A33999 117 14 C C NNP A33999 117 15 as as IN A33999 117 16 a a DT A33999 117 17 Center Center NNP A33999 117 18 , , , A33999 117 19 describe describe VB A33999 117 20 the the DT A33999 117 21 Semicircle Semicircle NNP A33999 117 22 EBM EBM NNP A33999 117 23 , , , A33999 117 24 and and CC A33999 117 25 draw draw VB A33999 117 26 ECM ECM NNP A33999 117 27 the the DT A33999 117 28 Diameter Diameter NNP A33999 117 29 , , , A33999 117 30 and and CC A33999 117 31 CB CB NNP A33999 117 32 from from IN A33999 117 33 the the DT A33999 117 34 Center Center NNP A33999 117 35 perpendicular perpendicular JJ A33999 117 36 thereto thereto NN A33999 117 37 , , , A33999 117 38 from from IN A33999 117 39 B b NN A33999 117 40 set set NN A33999 117 41 off off RP A33999 117 42 the the DT A33999 117 43 Declination declination NN A33999 117 44 to to IN A33999 117 45 D d NN A33999 117 46 , , , A33999 117 47 the the DT A33999 117 48 Latitude Latitude NNP A33999 117 49 to to IN A33999 117 50 L L NNP A33999 117 51 , , , A33999 117 52 the the DT A33999 117 53 Altitude altitude NN A33999 117 54 to to IN A33999 117 55 A a NN A33999 117 56 ; ; : A33999 117 57 and and CC A33999 117 58 draw draw VB A33999 117 59 the the DT A33999 117 60 Line Line NNP A33999 117 61 CA CA NNP A33999 117 62 continued continue VBD A33999 117 63 . . . A33999 118 1 The the DT A33999 118 2 nearest near JJS A33999 118 3 distance distance NN A33999 118 4 from from IN A33999 118 5 D D NNP A33999 118 6 to to IN A33999 118 7 BC BC NNP A33999 118 8 when when WRB A33999 118 9 the the DT A33999 118 10 Declination Declination NNP A33999 118 11 is be VBZ A33999 118 12 North North NNP A33999 118 13 , , , A33999 118 14 place place NN A33999 118 15 from from IN A33999 118 16 C C NNP A33999 118 17 towards towards IN A33999 118 18 M M NNP A33999 118 19 when when WRB A33999 118 20 South South NNP A33999 118 21 towards towards IN A33999 118 22 E e NN A33999 118 23 , , , A33999 118 24 and and CC A33999 118 25 thereto thereto NNP A33999 118 26 set set VBN A33999 118 27 K K NNP A33999 118 28 , , , A33999 118 29 assuming assume VBG A33999 118 30 the the DT A33999 118 31 Diameter Diameter NNP A33999 118 32 EM EM NNP A33999 118 33 to to TO A33999 118 34 represent represent VB A33999 118 35 the the DT A33999 118 36 Secant Secant NNP A33999 118 37 of of IN A33999 118 38 the the DT A33999 118 39 Latitude Latitude NNP A33999 118 40 , , , A33999 118 41 the the DT A33999 118 42 Radius Radius NNP A33999 118 43 of of IN A33999 118 44 the the DT A33999 118 45 said say VBN A33999 118 46 Secant secant NN A33999 118 47 shall shall MD A33999 118 48 be be VB A33999 118 49 the the DT A33999 118 50 Cosine Cosine NNP A33999 118 51 of of IN A33999 118 52 the the DT A33999 118 53 Latitude Latitude NNP A33999 118 54 doubled double VBD A33999 118 55 ; ; : A33999 118 56 wherefore wherefore VBD A33999 118 57 the the DT A33999 118 58 nearest near JJS A33999 118 59 distance distance NN A33999 118 60 from from IN A33999 118 61 L L NNP A33999 118 62 to to IN A33999 118 63 CM CM NNP A33999 118 64 doubled double VBD A33999 118 65 , , , A33999 118 66 shall shall MD A33999 118 67 be be VB A33999 118 68 the the DT A33999 118 69 Radius Radius NNP A33999 118 70 to to IN A33999 118 71 the the DT A33999 118 72 said say VBN A33999 118 73 Secant Secant NNP A33999 118 74 , , , A33999 118 75 which which WDT A33999 118 76 prick prick VBP A33999 118 77 on on IN A33999 118 78 the the DT A33999 118 79 Line Line NNP A33999 118 80 of of IN A33999 118 81 Altitude altitude NN A33999 118 82 from from IN A33999 118 83 C C NNP A33999 118 84 to to IN A33999 118 85 Z Z NNP A33999 118 86 , , , A33999 118 87 then then RB A33999 118 88 the the DT A33999 118 89 nearest near JJS A33999 118 90 distance distance NN A33999 118 91 from from IN A33999 118 92 Z Z NNP A33999 118 93 to to IN A33999 118 94 CM CM NNP A33999 118 95 shall shall MD A33999 118 96 be be VB A33999 118 97 the the DT A33999 118 98 Cosine Cosine NNP A33999 118 99 of of IN A33999 118 100 the the DT A33999 118 101 Altitude altitude NN A33999 118 102 to to IN A33999 118 103 that that DT A33999 118 104 Radius Radius NNP A33999 118 105 , , , A33999 118 106 which which WDT A33999 118 107 extent extent NN A33999 118 108 prick prick NN A33999 118 109 from from IN A33999 118 110 E e NN A33999 118 111 to to IN A33999 118 112 F f NN A33999 118 113 , , , A33999 118 114 and and CC A33999 118 115 draw draw VB A33999 118 116 the the DT A33999 118 117 Lines Lines NNPS A33999 118 118 EF EF NNP A33999 118 119 and and CC A33999 118 120 FM FM NNP A33999 118 121 ; ; : A33999 118 122 then then RB A33999 118 123 for for IN A33999 118 124 the the DT A33999 118 125 third third JJ A33999 118 126 term term NN A33999 118 127 of of IN A33999 118 128 the the DT A33999 118 129 proportion proportion NN A33999 118 130 , , , A33999 118 131 take take VB A33999 118 132 the the DT A33999 118 133 distance distance NN A33999 118 134 between between IN A33999 118 135 A a NN A33999 118 136 and and CC A33999 118 137 L l NN A33999 118 138 , , , A33999 118 139 and and CC A33999 118 140 prick prick VB A33999 118 141 it -PRON- PRP A33999 118 142 from from IN A33999 118 143 M M NNP A33999 118 144 to to IN A33999 118 145 G G NNP A33999 118 146 , , , A33999 118 147 from from IN A33999 118 148 which which WDT A33999 118 149 point point NN A33999 118 150 take take VBP A33999 118 151 the the DT A33999 118 152 nearest near JJS A33999 118 153 distance distance NN A33999 118 154 to to IN A33999 118 155 BC BC NNP A33999 118 156 , , , A33999 118 157 and and CC A33999 118 158 place place VB A33999 118 159 it -PRON- PRP A33999 118 160 from from IN A33999 118 161 C C NNP A33999 118 162 to to IN A33999 118 163 X X NNP A33999 118 164 , , , A33999 118 165 so so RB A33999 118 166 is be VBZ A33999 118 167 the the DT A33999 118 168 distance distance NN A33999 118 169 KX KX NNP A33999 118 170 , , , A33999 118 171 the the DT A33999 118 172 difference difference NN A33999 118 173 of of IN A33999 118 174 the the DT A33999 118 175 Versed Versed NNP A33999 118 176 Sines Sines NNPS A33999 118 177 sought seek VBD A33999 118 178 , , , A33999 118 179 which which WDT A33999 118 180 prick prick VBP A33999 118 181 from from IN A33999 118 182 F F NNP A33999 118 183 to to IN A33999 118 184 Q Q NNP A33999 118 185 , , , A33999 118 186 and and CC A33999 118 187 draw draw VB A33999 118 188 QR QR NNP A33999 118 189 parallel parallel NN A33999 118 190 to to IN A33999 118 191 FM FM NNP A33999 118 192 , , , A33999 118 193 so so RB A33999 118 194 is be VBZ A33999 118 195 RM RM NNP A33999 118 196 the the DT A33999 118 197 Versed Versed NNP A33999 118 198 Sine Sine NNP A33999 118 199 of of IN A33999 118 200 the the DT A33999 118 201 Suns Suns NNPS A33999 118 202 Azimuth Azimuth NNP A33999 118 203 from from IN A33999 118 204 the the DT A33999 118 205 North North NNP A33999 118 206 sought seek VBD A33999 118 207 , , , A33999 118 208 and and CC A33999 118 209 CR CR NNP A33999 118 210 the the DT A33999 118 211 Sine Sine NNP A33999 118 212 of of IN A33999 118 213 it -PRON- PRP A33999 118 214 to to IN A33999 118 215 the the DT A33999 118 216 Southwards Southwards NNP A33999 118 217 of of IN A33999 118 218 the the DT A33999 118 219 East East NNP A33999 118 220 or or CC A33999 118 221 West West NNP A33999 118 222 , , , A33999 118 223 and and CC A33999 118 224 BP BP NNP A33999 118 225 the the DT A33999 118 226 measure measure NN A33999 118 227 thereof thereof RB A33999 118 228 in in IN A33999 118 229 the the DT A33999 118 230 Limbe Limbe NNP A33999 118 231 , , , A33999 118 232 found find VBN A33999 118 233 by by IN A33999 118 234 drawing draw VBG A33999 118 235 a a DT A33999 118 236 LIne LIne NNP A33999 118 237 from from IN A33999 118 238 R r NN A33999 118 239 parallel parallel NN A33999 118 240 to to IN A33999 118 241 GB GB NNP A33999 118 242 ; ; : A33999 118 243 in in IN A33999 118 244 this this DT A33999 118 245 Example Example NNP A33999 118 246 the the DT A33999 118 247 Suns Suns NNPS A33999 118 248 true true JJ A33999 118 249 Goast Goast NNP A33999 118 250 is be VBZ A33999 118 251 15d 15d NNS A33999 118 252 to to IN A33999 118 253 the the DT A33999 118 254 Southwards Southwards NNP A33999 118 255 of of IN A33999 118 256 the the DT A33999 118 257 East East NNP A33999 118 258 or or CC A33999 118 259 West West NNP A33999 118 260 . . . A33999 119 1 Note note VB A33999 119 2 also also RB A33999 119 3 , , , A33999 119 4 that that IN A33999 119 5 the the DT A33999 119 6 Point Point NNP A33999 119 7 R R NNP A33999 119 8 may may MD A33999 119 9 be be VB A33999 119 10 found find VBN A33999 119 11 without without IN A33999 119 12 drawing draw VBG A33999 119 13 the the DT A33999 119 14 Lines Lines NNPS A33999 119 15 EF EF NNP A33999 119 16 , , , A33999 119 17 QR QR NNP A33999 119 18 by by IN A33999 119 19 entring entre VBG A33999 119 20 the the DT A33999 119 21 extent extent NN A33999 119 22 KX KX NNP A33999 119 23 , , , A33999 119 24 so so IN A33999 119 25 that that IN A33999 119 26 one one CD A33999 119 27 foot foot NN A33999 119 28 resting rest VBG A33999 119 29 on on IN A33999 119 30 the the DT A33999 119 31 Diameter Diameter NNP A33999 119 32 , , , A33999 119 33 the the DT A33999 119 34 other other JJ A33999 119 35 turned turn VBD A33999 119 36 about about IN A33999 119 37 , , , A33999 119 38 may may MD A33999 119 39 but but CC A33999 119 40 just just RB A33999 119 41 touch touch VB A33999 119 42 FM FM NNP A33999 119 43 . . . A33999 120 1 To to TO A33999 120 2 make make VB A33999 120 3 a a DT A33999 120 4 Horizontal Horizontal NNP A33999 120 5 Dyal Dyal NNP A33999 120 6 . . . A33999 121 1 A a DT A33999 121 2 Plain Plain NNP A33999 121 3 is be VBZ A33999 121 4 then then RB A33999 121 5 said say VBN A33999 121 6 to to TO A33999 121 7 be be VB A33999 121 8 Horizontal Horizontal NNP A33999 121 9 , , , A33999 121 10 when when WRB A33999 121 11 it -PRON- PRP A33999 121 12 is be VBZ A33999 121 13 parallel parallel JJ A33999 121 14 to to IN A33999 121 15 the the DT A33999 121 16 Horizontal Horizontal NNP A33999 121 17 Circle Circle NNP A33999 121 18 of of IN A33999 121 19 the the DT A33999 121 20 Sphere Sphere NNP A33999 121 21 proper proper JJ A33999 121 22 to to IN A33999 121 23 the the DT A33999 121 24 place place NN A33999 121 25 of of IN A33999 121 26 Habitation Habitation NNP A33999 121 27 ; ; : A33999 121 28 these these DT A33999 121 29 are be VBP A33999 121 30 such such JJ A33999 121 31 kinde kinde NNP A33999 121 32 of of IN A33999 121 33 Dyals Dyals NNPS A33999 121 34 as as IN A33999 121 35 stand stand VBP A33999 121 36 commonly commonly RB A33999 121 37 upon upon IN A33999 121 38 posts post NNS A33999 121 39 in in IN A33999 121 40 a a DT A33999 121 41 Garden Garden NNP A33999 121 42 . . . A33999 122 1 By by IN A33999 122 2 the the DT A33999 122 3 former former JJ A33999 122 4 Directions Directions NNPS A33999 122 5 , , , A33999 122 6 a a DT A33999 122 7 true true JJ A33999 122 8 Meridian Meridian NNP A33999 122 9 Line Line NNP A33999 122 10 may may MD A33999 122 11 be be VB A33999 122 12 found find VBN A33999 122 13 , , , A33999 122 14 let let VB A33999 122 15 it -PRON- PRP A33999 122 16 here here RB A33999 122 17 be be VB A33999 122 18 represented represent VBN A33999 122 19 by by IN A33999 122 20 the the DT A33999 122 21 Line Line NNP A33999 122 22 FM FM NNP A33999 122 23 . . . A33999 123 1 A a DT A33999 123 2 Horizontal Horizontal NNP A33999 123 3 Dyal Dyal NNP A33999 123 4 for for IN A33999 123 5 the the DT A33999 123 6 Latitude Latitude NNP A33999 123 7 of of IN A33999 123 8 London London NNP A33999 123 9 , , , A33999 123 10 51 51 CD A33999 123 11 degrees degree NNS A33999 123 12 , , , A33999 123 13 32 32 CD A33999 123 14 minutes minute NNS A33999 123 15 . . . A33999 124 1 Cross cross VB A33999 124 2 the the DT A33999 124 3 same same JJ A33999 124 4 with with IN A33999 124 5 a a DT A33999 124 6 perpendicular perpendicular NN A33999 124 7 , , , A33999 124 8 to to IN A33999 124 9 wit wit NN A33999 124 10 , , , A33999 124 11 the the DT A33999 124 12 Line Line NNP A33999 124 13 of of IN A33999 124 14 Six six CD A33999 124 15 , , , A33999 124 16 and and CC A33999 124 17 draw draw VB A33999 124 18 an an DT A33999 124 19 Oblong Oblong NNP A33999 124 20 or or CC A33999 124 21 square square JJ A33999 124 22 figure figure NN A33999 124 23 as as IN A33999 124 24 here here RB A33999 124 25 is be VBZ A33999 124 26 done do VBN A33999 124 27 , , , A33999 124 28 wherein wherein WRB A33999 124 29 to to TO A33999 124 30 write write VB A33999 124 31 the the DT A33999 124 32 hours hour NNS A33999 124 33 , , , A33999 124 34 from from IN A33999 124 35 M M NNP A33999 124 36 to to IN A33999 124 37 C C NNP A33999 124 38 set set VB A33999 124 39 off off RP A33999 124 40 such such PDT A33999 124 41 a a DT A33999 124 42 Radius Radius NNP A33999 124 43 as as IN A33999 124 44 you -PRON- PRP A33999 124 45 intend intend VBP A33999 124 46 to to TO A33999 124 47 draw draw VB A33999 124 48 a a DT A33999 124 49 Circle Circle NNP A33999 124 50 withall withall NN A33999 124 51 , , , A33999 124 52 which which WDT A33999 124 53 for for IN A33999 124 54 convenience convenience NN A33999 124 55 may may MD A33999 124 56 be be VB A33999 124 57 as as RB A33999 124 58 big big JJ A33999 124 59 as as IN A33999 124 60 the the DT A33999 124 61 Plain Plain NNP A33999 124 62 will will MD A33999 124 63 admit admit VB A33999 124 64 , , , A33999 124 65 and and CC A33999 124 66 therewith therewith NN A33999 124 67 upon upon IN A33999 124 68 C C NNP A33999 124 69 as as IN A33999 124 70 a a DT A33999 124 71 Center Center NNP A33999 124 72 describe describe VBP A33999 124 73 a a DT A33999 124 74 Circle Circle NNP A33999 124 75 , , , A33999 124 76 and and CC A33999 124 77 set set VBD A33999 124 78 off off RP A33999 124 79 the the DT A33999 124 80 Radius Radius NNP A33999 124 81 of of IN A33999 124 82 the the DT A33999 124 83 said say VBD A33999 124 84 Circle Circle NNP A33999 124 85 from from IN A33999 124 86 F F NNP A33999 124 87 to to IN A33999 124 88 d d NNP A33999 124 89 , , , A33999 124 90 from from IN A33999 124 91 M M NNP A33999 124 92 to to IN A33999 124 93 k k NNP A33999 124 94 , , , A33999 124 95 and and CC A33999 124 96 draw draw VB A33999 124 97 the the DT A33999 124 98 right right JJ A33999 124 99 Line Line NNP A33999 124 100 Fd Fd NNP A33999 124 101 , , , A33999 124 102 then then RB A33999 124 103 prick prick VB A33999 124 104 the the DT A33999 124 105 Poles Poles NNPS A33999 124 106 height height NN A33999 124 107 or or CC A33999 124 108 Latitude Latitude NNP A33999 124 109 of of IN A33999 124 110 the the DT A33999 124 111 place place NN A33999 124 112 from from IN A33999 124 113 f f NNP A33999 124 114 to to IN A33999 124 115 L L NNP A33999 124 116 , , , A33999 124 117 and and CC A33999 124 118 from from IN A33999 124 119 L l NN A33999 124 120 to to IN A33999 124 121 S S NNP A33999 124 122 , , , A33999 124 123 and and CC A33999 124 124 through through IN A33999 124 125 the the DT A33999 124 126 point point NN A33999 124 127 S S NNP A33999 124 128 draw draw VBP A33999 124 129 the the DT A33999 124 130 Line Line NNP A33999 124 131 MS MS NNP A33999 124 132 , , , A33999 124 133 and and CC A33999 124 134 it -PRON- PRP A33999 124 135 shall shall MD A33999 124 136 represent represent VB A33999 124 137 the the DT A33999 124 138 Cock Cock NNP A33999 124 139 or or CC A33999 124 140 Stiles Stiles NNP A33999 124 141 height height RB A33999 124 142 from from IN A33999 124 143 the the DT A33999 124 144 point point NN A33999 124 145 L l NN A33999 124 146 , , , A33999 124 147 take take VB A33999 124 148 the the DT A33999 124 149 nearest near JJS A33999 124 150 distance distance NN A33999 124 151 to to IN A33999 124 152 FM FM NNP A33999 124 153 , , , A33999 124 154 and and CC A33999 124 155 prick prick VB A33999 124 156 that that DT A33999 124 157 extent extent NN A33999 124 158 from from IN A33999 124 159 F F NNP A33999 124 160 to to IN A33999 124 161 N n NN A33999 124 162 on on IN A33999 124 163 the the DT A33999 124 164 Line Line NNP A33999 124 165 Fd Fd NNP A33999 124 166 , , , A33999 124 167 then then RB A33999 124 168 a a DT A33999 124 169 Ruler ruler NN A33999 124 170 laid lay VBD A33999 124 171 from from IN A33999 124 172 N n CD A33999 124 173 to to IN A33999 124 174 k k NN A33999 124 175 , , , A33999 124 176 where where WRB A33999 124 177 it -PRON- PRP A33999 124 178 intersects intersect VBZ A33999 124 179 the the DT A33999 124 180 Meridian Meridian NNP A33999 124 181 is be VBZ A33999 124 182 the the DT A33999 124 183 Regulating regulating NN A33999 124 184 point point NN A33999 124 185 , , , A33999 124 186 or or CC A33999 124 187 point point NN A33999 124 188 ☉ ☉ NNS A33999 124 189 , , , A33999 124 190 then then RB A33999 124 191 from from IN A33999 124 192 M M NNP A33999 124 193 divide divide VB A33999 124 194 the the DT A33999 124 195 Circle Circle NNP A33999 124 196 into into IN A33999 124 197 twelve twelve CD A33999 124 198 equal equal JJ A33999 124 199 parts part NNS A33999 124 200 for for IN A33999 124 201 the the DT A33999 124 202 whole whole JJ A33999 124 203 hours hour NNS A33999 124 204 , , , A33999 124 205 setting set VBG A33999 124 206 the the DT A33999 124 207 Letters Letters NNPS A33999 124 208 of of IN A33999 124 209 the the DT A33999 124 210 Alphabet Alphabet NNP A33999 124 211 thereto thereto NN A33999 124 212 , , , A33999 124 213 and and CC A33999 124 214 lay lie VBD A33999 124 215 a a DT A33999 124 216 ruler ruler NN A33999 124 217 from from IN A33999 124 218 the the DT A33999 124 219 Regulating regulating NN A33999 124 220 point point NN A33999 124 221 to to IN A33999 124 222 each each DT A33999 124 223 of of IN A33999 124 224 those those DT A33999 124 225 Divisions Divisions NNPS A33999 124 226 , , , A33999 124 227 and and CC A33999 124 228 it -PRON- PRP A33999 124 229 will will MD A33999 124 230 intersect intersect VB A33999 124 231 the the DT A33999 124 232 Circle Circle NNP A33999 124 233 on on IN A33999 124 234 the the DT A33999 124 235 opposite opposite JJ A33999 124 236 side side NN A33999 124 237 , , , A33999 124 238 from from IN A33999 124 239 which which WDT A33999 124 240 Intersections Intersections NNPS A33999 124 241 , , , A33999 124 242 Lines line NNS A33999 124 243 drawn draw VBN A33999 124 244 into into IN A33999 124 245 the the DT A33999 124 246 Center Center NNP A33999 124 247 at at IN A33999 124 248 M M NNP A33999 124 249 , , , A33999 124 250 shall shall MD A33999 124 251 be be VB A33999 124 252 the the DT A33999 124 253 hours hour NNS A33999 124 254 Lines Lines NNP A33999 124 255 required require VBN A33999 124 256 , , , A33999 124 257 to to TO A33999 124 258 be be VB A33999 124 259 produced produce VBN A33999 124 260 beyond beyond IN A33999 124 261 the the DT A33999 124 262 Center Center NNP A33999 124 263 , , , A33999 124 264 as as RB A33999 124 265 many many JJ A33999 124 266 as as IN A33999 124 267 are be VBP A33999 124 268 needful needful JJ A33999 124 269 , , , A33999 124 270 which which WDT A33999 124 271 shall shall MD A33999 124 272 be be VB A33999 124 273 the the DT A33999 124 274 hours hour NNS A33999 124 275 before before IN A33999 124 276 or or CC A33999 124 277 after after IN A33999 124 278 6 6 CD A33999 124 279 in in IN A33999 124 280 the the DT A33999 124 281 Summer Summer NNP A33999 124 282 half half NN A33999 124 283 year year NN A33999 124 284 , , , A33999 124 285 the the DT A33999 124 286 halfs halfs NNP A33999 124 287 and and CC A33999 124 288 quarters quarter NNS A33999 124 289 are be VBP A33999 124 290 after after IN A33999 124 291 the the DT A33999 124 292 same same JJ A33999 124 293 manner manner NN A33999 124 294 to to TO A33999 124 295 be be VB A33999 124 296 inscribed inscribe VBN A33999 124 297 , , , A33999 124 298 by by IN A33999 124 299 dividing divide VBG A33999 124 300 each each DT A33999 124 301 equal equal JJ A33999 124 302 division division NN A33999 124 303 of of IN A33999 124 304 the the DT A33999 124 305 Circle Circle NNP A33999 124 306 into into IN A33999 124 307 halfs halfs NNP A33999 124 308 and and CC A33999 124 309 quarters quarter NNS A33999 124 310 . . . A33999 125 1 This this DT A33999 125 2 Circular Circular NNP A33999 125 3 Dyalling Dyalling NNP A33999 125 4 , , , A33999 125 5 was be VBD A33999 125 6 in in IN A33999 125 7 effect effect NN A33999 125 8 , , , A33999 125 9 published publish VBN A33999 125 10 and and CC A33999 125 11 invented invent VBN A33999 125 12 by by IN A33999 125 13 Mr. Mr. NNP A33999 125 14 Foster Foster NNP A33999 125 15 in in IN A33999 125 16 his -PRON- PRP$ A33999 125 17 book book NN A33999 125 18 of of IN A33999 125 19 a a DT A33999 125 20 Quadrant Quadrant NNP A33999 125 21 , , , A33999 125 22 in in IN A33999 125 23 Anno Anno NNP A33999 125 24 1638 1638 CD A33999 125 25 . . . A33999 125 26 for for IN A33999 125 27 the the DT A33999 125 28 demonstration demonstration NN A33999 125 29 of of IN A33999 125 30 this this DT A33999 125 31 Work work NN A33999 125 32 will will MD A33999 125 33 demonstrate demonstrate VB A33999 125 34 the the DT A33999 125 35 truth truth NN A33999 125 36 of of IN A33999 125 37 those those DT A33999 125 38 Circular Circular NNP A33999 125 39 performances performance NNS A33999 125 40 , , , A33999 125 41 which which WDT A33999 125 42 he -PRON- PRP A33999 125 43 Operates operate VBZ A33999 125 44 on on IN A33999 125 45 the the DT A33999 125 46 back back NN A33999 125 47 of of IN A33999 125 48 that that DT A33999 125 49 Quadrant Quadrant NNP A33999 125 50 , , , A33999 125 51 but but CC A33999 125 52 is be VBZ A33999 125 53 more more RBR A33999 125 54 expresly expresly RB A33999 125 55 hinted hint VBN A33999 125 56 in in IN A33999 125 57 his -PRON- PRP$ A33999 125 58 Posthuma Posthuma NNP A33999 125 59 , , , A33999 125 60 the the DT A33999 125 61 demonstration demonstration NN A33999 125 62 whereof whereof XX A33999 125 63 shall shall MD A33999 125 64 follow follow VB A33999 125 65 . . . A33999 126 1 Those those DT A33999 126 2 that that WDT A33999 126 3 have have VBP A33999 126 4 plain plain JJ A33999 126 5 Tables table NNS A33999 126 6 with with IN A33999 126 7 a a DT A33999 126 8 Frame Frame NNP A33999 126 9 , , , A33999 126 10 may may MD A33999 126 11 have have VB A33999 126 12 Tangent Tangent NNP A33999 126 13 Lines Lines NNPS A33999 126 14 put put VBN A33999 126 15 on on IN A33999 126 16 the the DT A33999 126 17 sides side NNS A33999 126 18 of of IN A33999 126 19 their -PRON- PRP$ A33999 126 20 Frame Frame NNP A33999 126 21 ; ; : A33999 126 22 and and CC A33999 126 23 then then RB A33999 126 24 if if IN A33999 126 25 a a DT A33999 126 26 Center Center NNP A33999 126 27 be be VB A33999 126 28 found find VBN A33999 126 29 upon upon IN A33999 126 30 the the DT A33999 126 31 paper paper NN A33999 126 32 under under IN A33999 126 33 the the DT A33999 126 34 Frame Frame NNP A33999 126 35 by by IN A33999 126 36 the the DT A33999 126 37 Intersection intersection NN A33999 126 38 of of IN A33999 126 39 a a DT A33999 126 40 Ruler ruler NN A33999 126 41 laid lay VBN A33999 126 42 over over IN A33999 126 43 those those DT A33999 126 44 Tangents tangent NNS A33999 126 45 , , , A33999 126 46 the the DT A33999 126 47 requisite requisite JJ A33999 126 48 Divisions Divisions NNPS A33999 126 49 of of IN A33999 126 50 a a DT A33999 126 51 Circle Circle NNP A33999 126 52 to to IN A33999 126 53 any any DT A33999 126 54 Radius radius NN A33999 126 55 that that WDT A33999 126 56 can can MD A33999 126 57 be be VB A33999 126 58 described describe VBN A33999 126 59 upon upon IN A33999 126 60 the the DT A33999 126 61 paper paper NN A33999 126 62 , , , A33999 126 63 will will MD A33999 126 64 be be VB A33999 126 65 most most RBS A33999 126 66 readily readily RB A33999 126 67 given give VBN A33999 126 68 without without IN A33999 126 69 dividing divide VBG A33999 126 70 any any DT A33999 126 71 Circle Circle NNP A33999 126 72 or or CC A33999 126 73 setting setting NN A33999 126 74 of of IN A33999 126 75 Marks mark NNS A33999 126 76 or or CC A33999 126 77 Letters Letters NNPS A33999 126 78 thereto thereto VBP A33999 126 79 , , , A33999 126 80 the the DT A33999 126 81 Frame Frame NNP A33999 126 82 keeping keep VBG A33999 126 83 fast fast RB A33999 126 84 that that DT A33999 126 85 paper paper NN A33999 126 86 , , , A33999 126 87 on on IN A33999 126 88 which which WDT A33999 126 89 the the DT A33999 126 90 Draught Draught NNP A33999 126 91 of of IN A33999 126 92 the the DT A33999 126 93 Dyal Dyal NNP A33999 126 94 is be VBZ A33999 126 95 made make VBN A33999 126 96 , , , A33999 126 97 which which WDT A33999 126 98 may may MD A33999 126 99 also also RB A33999 126 100 be be VB A33999 126 101 supplyed supply VBN A33999 126 102 from from IN A33999 126 103 a a DT A33999 126 104 Circle Circle NNP A33999 126 105 divided divide VBN A33999 126 106 on on IN A33999 126 107 Pastboard Pastboard NNP A33999 126 108 cut cut VBD A33999 126 109 out out RP A33999 126 110 , , , A33999 126 111 which which WDT A33999 126 112 is be VBZ A33999 126 113 to to TO A33999 126 114 be be VB A33999 126 115 Laced lace VBN A33999 126 116 upon upon IN A33999 126 117 a a DT A33999 126 118 Board Board NNP A33999 126 119 over over IN A33999 126 120 the the DT A33999 126 121 paper paper NN A33999 126 122 whereon whereon NN A33999 126 123 the the DT A33999 126 124 Draught Draught NNP A33999 126 125 is be VBZ A33999 126 126 to to TO A33999 126 127 be be VB A33999 126 128 made make VBN A33999 126 129 . . . A33999 127 1 An an DT A33999 127 2 upright upright JJ A33999 127 3 full full JJ A33999 127 4 South South NNP A33999 127 5 Dyal Dyal NNP A33999 127 6 . . . A33999 128 1 This this DT A33999 128 2 is be VBZ A33999 128 3 no no DT A33999 128 4 other other JJ A33999 128 5 then then RB A33999 128 6 a a DT A33999 128 7 Horizontal Horizontal NNP A33999 128 8 Dyal Dyal NNP A33999 128 9 , , , A33999 128 10 in in IN A33999 128 11 that that DT A33999 128 12 Latitude Latitude NNP A33999 128 13 which which WDT A33999 128 14 is be VBZ A33999 128 15 equal equal JJ A33999 128 16 to to IN A33999 128 17 the the DT A33999 128 18 complement complement NN A33999 128 19 of of IN A33999 128 20 the the DT A33999 128 21 Latitude Latitude NNP A33999 128 22 of of IN A33999 128 23 the the DT A33999 128 24 place place NN A33999 128 25 , , , A33999 128 26 you -PRON- PRP A33999 128 27 are be VBP A33999 128 28 in in IN A33999 128 29 , , , A33999 128 30 onely onely RB A33999 128 31 the the DT A33999 128 32 hours hour NNS A33999 128 33 must must MD A33999 128 34 not not RB A33999 128 35 be be VB A33999 128 36 continued continue VBN A33999 128 37 beyond beyond IN A33999 128 38 the the DT A33999 128 39 Center Center NNP A33999 128 40 , , , A33999 128 41 and and CC A33999 128 42 the the DT A33999 128 43 Delineation Delineation NNP A33999 128 44 requires require VBZ A33999 128 45 no no DT A33999 128 46 other other JJ A33999 128 47 directions direction NNS A33999 128 48 then then RB A33999 128 49 the the DT A33999 128 50 former former JJ A33999 128 51 . . . A33999 129 1 On on IN A33999 129 2 a a DT A33999 129 3 direct direct JJ A33999 129 4 North North NNP A33999 129 5 Dyal Dyal NNP A33999 129 6 , , , A33999 129 7 in in IN A33999 129 8 this this DT A33999 129 9 Latitude Latitude NNP A33999 129 10 , , , A33999 129 11 there there EX A33999 129 12 will will MD A33999 129 13 not not RB A33999 129 14 be be VB A33999 129 15 above above IN A33999 129 16 two two CD A33999 129 17 hours hour NNS A33999 129 18 above above RB A33999 129 19 , , , A33999 129 20 and and CC A33999 129 21 two two CD A33999 129 22 hours hour NNS A33999 129 23 beneath beneath IN A33999 129 24 each each DT A33999 129 25 end end NN A33999 129 26 of of IN A33999 129 27 the the DT A33999 129 28 Horizontal Horizontal NNP A33999 129 29 Line Line NNP A33999 129 30 to to TO A33999 129 31 be be VB A33999 129 32 expressed express VBN A33999 129 33 , , , A33999 129 34 and and CC A33999 129 35 the the DT A33999 129 36 Stile Stile NNP A33999 129 37 will will MD A33999 129 38 have have VB A33999 129 39 the the DT A33999 129 40 same same JJ A33999 129 41 Elevation elevation NN A33999 129 42 and and CC A33999 129 43 point point VB A33999 129 44 upward upward RB A33999 129 45 . . . A33999 130 1 Horizontall Horizontall NNP A33999 130 2 Diall Diall NNP A33999 130 3 An an DT A33999 130 4 Vpright Vpright NNP A33999 130 5 South South NNP A33999 130 6 Diall Diall NNP A33999 130 7 In in IN A33999 130 8 all all DT A33999 130 9 upright upright JJ A33999 130 10 North North NNP A33999 130 11 and and CC A33999 130 12 South South NNP A33999 130 13 Plains Plains NNPS A33999 130 14 , , , A33999 130 15 the the DT A33999 130 16 Meridian Meridian NNP A33999 130 17 or or CC A33999 130 18 hour hour NN A33999 130 19 line line NN A33999 130 20 of of IN A33999 130 21 12 12 CD A33999 130 22 is be VBZ A33999 130 23 perpendicular perpendicular JJ A33999 130 24 to to IN A33999 130 25 the the DT A33999 130 26 Plains Plains NNPS A33999 130 27 Horizontal horizontal JJ A33999 130 28 line line NN A33999 130 29 , , , A33999 130 30 if if IN A33999 130 31 the the DT A33999 130 32 Plain Plain NNP A33999 130 33 be be VB A33999 130 34 direct direct JJ A33999 130 35 the the DT A33999 130 36 height height NN A33999 130 37 of of IN A33999 130 38 the the DT A33999 130 39 Stile Stile NNP A33999 130 40 above above IN A33999 130 41 the the DT A33999 130 42 substile substile NN A33999 130 43 , , , A33999 130 44 is be VBZ A33999 130 45 equal equal JJ A33999 130 46 to to IN A33999 130 47 the the DT A33999 130 48 complement complement NN A33999 130 49 of of IN A33999 130 50 the the DT A33999 130 51 Latitude Latitude NNP A33999 130 52 . . . A33999 131 1 If if IN A33999 131 2 the the DT A33999 131 3 Plain Plain NNP A33999 131 4 be be VB A33999 131 5 South South NNP A33999 131 6 Reclining Reclining NNP A33999 131 7 , , , A33999 131 8 or or CC A33999 131 9 North North NNP A33999 131 10 Inclining Inclining NNP A33999 131 11 , , , A33999 131 12 the the DT A33999 131 13 height height NN A33999 131 14 of of IN A33999 131 15 the the DT A33999 131 16 Stile Stile NNP A33999 131 17 above above IN A33999 131 18 the the DT A33999 131 19 substile substile NN A33999 131 20 , , , A33999 131 21 is be VBZ A33999 131 22 equal equal JJ A33999 131 23 to to IN A33999 131 24 the the DT A33999 131 25 Ark Ark NNP A33999 131 26 of of IN A33999 131 27 difference difference NN A33999 131 28 between between IN A33999 131 29 the the DT A33999 131 30 complement complement NN A33999 131 31 of of IN A33999 131 32 the the DT A33999 131 33 Latitude Latitude NNP A33999 131 34 and and CC A33999 131 35 the the DT A33999 131 36 Ark Ark NNP A33999 131 37 of of IN A33999 131 38 Re Re NNP A33999 131 39 - - NNP A33999 131 40 Inclination Inclination NNP A33999 131 41 , , , A33999 131 42 and and CC A33999 131 43 if if IN A33999 131 44 this this DT A33999 131 45 latter latter JJ A33999 131 46 Ark Ark NNP A33999 131 47 be be VB A33999 131 48 greater great JJR A33999 131 49 then then RB A33999 131 50 the the DT A33999 131 51 former former JJ A33999 131 52 , , , A33999 131 53 the the DT A33999 131 54 contrary contrary JJ A33999 131 55 Pole Pole NNP A33999 131 56 is be VBZ A33999 131 57 elevated elevate VBN A33999 131 58 . . . A33999 132 1 If if IN A33999 132 2 the the DT A33999 132 3 Plain Plain NNP A33999 132 4 be be VB A33999 132 5 South South NNP A33999 132 6 Inclining incline VBG A33999 132 7 , , , A33999 132 8 or or CC A33999 132 9 North North NNP A33999 132 10 Reclining Reclining NNP A33999 132 11 , , , A33999 132 12 the the DT A33999 132 13 height height NN A33999 132 14 of of IN A33999 132 15 the the DT A33999 132 16 Stile Stile NNP A33999 132 17 above above IN A33999 132 18 the the DT A33999 132 19 substile substile NN A33999 132 20 , , , A33999 132 21 is be VBZ A33999 132 22 equal equal JJ A33999 132 23 to to IN A33999 132 24 the the DT A33999 132 25 sum sum NN A33999 132 26 of of IN A33999 132 27 the the DT A33999 132 28 Colatitude Colatitude NNP A33999 132 29 , , , A33999 132 30 and and CC A33999 132 31 of of IN A33999 132 32 the the DT A33999 132 33 Re Re NNP A33999 132 34 - - HYPH A33999 132 35 Inclination Inclination NNP A33999 132 36 , , , A33999 132 37 and and CC A33999 132 38 when when WRB A33999 132 39 this this DT A33999 132 40 latter latter JJ A33999 132 41 Ark Ark NNP A33999 132 42 is be VBZ A33999 132 43 greater great JJR A33999 132 44 then then RB A33999 132 45 the the DT A33999 132 46 Latitude Latitude NNP A33999 132 47 , , , A33999 132 48 the the DT A33999 132 49 Stiles Stiles NNP A33999 132 50 height height NN A33999 132 51 will will MD A33999 132 52 be be VB A33999 132 53 greater great JJR A33999 132 54 then then RB A33999 132 55 a a DT A33999 132 56 Quadrant Quadrant NNP A33999 132 57 . . . A33999 133 1 Such such JJ A33999 133 2 Horizontal horizontal JJ A33999 133 3 or or CC A33999 133 4 direct direct JJ A33999 133 5 South South NNP A33999 133 6 Dyals Dyals NNPS A33999 133 7 , , , A33999 133 8 both both CC A33999 133 9 upright upright JJ A33999 133 10 and and CC A33999 133 11 leaning lean VBG A33999 133 12 , , , A33999 133 13 whereon whereon VB A33999 133 14 the the DT A33999 133 15 stile stile NNP A33999 133 16 hath hath NNP A33999 133 17 but but CC A33999 133 18 small small JJ A33999 133 19 Elevation Elevation NNP A33999 133 20 , , , A33999 133 21 are be VBP A33999 133 22 to to TO A33999 133 23 be be VB A33999 133 24 drawn draw VBN A33999 133 25 with with IN A33999 133 26 a a DT A33999 133 27 double double JJ A33999 133 28 Tangent Tangent NNP A33999 133 29 Line Line NNP A33999 133 30 without without IN A33999 133 31 a a DT A33999 133 32 Center Center NNP A33999 133 33 , , , A33999 133 34 wherein wherein WRB A33999 133 35 the the DT A33999 133 36 following follow VBG A33999 133 37 directions direction NNS A33999 133 38 for for IN A33999 133 39 direct direct JJ A33999 133 40 Polar polar JJ A33999 133 41 plains plain NNS A33999 133 42 , , , A33999 133 43 and and CC A33999 133 44 those those DT A33999 133 45 for for IN A33999 133 46 other other JJ A33999 133 47 Oblique Oblique NNP A33999 133 48 plains plain NNS A33999 133 49 , , , A33999 133 50 whereon whereon VB A33999 133 51 the the DT A33999 133 52 stile stile NNP A33999 133 53 hath hath NNP A33999 133 54 but but CC A33999 133 55 small small JJ A33999 133 56 elevation elevation NN A33999 133 57 , , , A33999 133 58 will will MD A33999 133 59 fully fully RB A33999 133 60 direct direct VB A33999 133 61 you -PRON- PRP A33999 133 62 . . . A33999 134 1 All all DT A33999 134 2 Plains Plains NNPS A33999 134 3 that that WDT A33999 134 4 cut cut VBD A33999 134 5 the the DT A33999 134 6 Axis Axis NNP A33999 134 7 of of IN A33999 134 8 the the DT A33999 134 9 World World NNP A33999 134 10 , , , A33999 134 11 have have VBP A33999 134 12 a a DT A33999 134 13 Center center NN A33999 134 14 ; ; : A33999 134 15 but but CC A33999 134 16 if if IN A33999 134 17 they -PRON- PRP A33999 134 18 be be VBP A33999 134 19 parallel parallel JJ A33999 134 20 thereto thereto NN A33999 134 21 , , , A33999 134 22 the the DT A33999 134 23 stile stile NN A33999 134 24 hath hath NN A33999 134 25 no no UH A33999 134 26 Elevation Elevation NNP A33999 134 27 . . . A33999 135 1 Such such JJ A33999 135 2 direct direct JJ A33999 135 3 South South NNP A33999 135 4 Reclining Reclining NNP A33999 135 5 , , , A33999 135 6 or or CC A33999 135 7 North North NNP A33999 135 8 Inclining Inclining NNP A33999 135 9 Plains Plains NNPS A33999 135 10 , , , A33999 135 11 whose whose WP$ A33999 135 12 Arch Arch NNP A33999 135 13 of of IN A33999 135 14 Reclination Reclination NNP A33999 135 15 is be VBZ A33999 135 16 equal equal JJ A33999 135 17 to to IN A33999 135 18 the the DT A33999 135 19 complement complement NN A33999 135 20 of of IN A33999 135 21 the the DT A33999 135 22 Latitude Latitude NNP A33999 135 23 , , , A33999 135 24 are be VBP A33999 135 25 parallel parallel JJ A33999 135 26 to to IN A33999 135 27 the the DT A33999 135 28 Axis Axis NNP A33999 135 29 , , , A33999 135 30 and and CC A33999 135 31 are be VBP A33999 135 32 called call VBN A33999 135 33 Polar Polar NNP A33999 135 34 plains plain NNS A33999 135 35 ; ; : A33999 135 36 in in IN A33999 135 37 these these DT A33999 135 38 the the DT A33999 135 39 Hour Hour NNP A33999 135 40 Lines Lines NNPS A33999 135 41 will will MD A33999 135 42 be be VB A33999 135 43 Tangent Tangent NNP A33999 135 44 Lines Lines NNPS A33999 135 45 of of IN A33999 135 46 any any DT A33999 135 47 assumed assumed JJ A33999 135 48 Radius Radius NNP A33999 135 49 , , , A33999 135 50 and and CC A33999 135 51 the the DT A33999 135 52 parallel parallel JJ A33999 135 53 height height NN A33999 135 54 of of IN A33999 135 55 the the DT A33999 135 56 stile stile NN A33999 135 57 above above IN A33999 135 58 the the DT A33999 135 59 plain plain NN A33999 135 60 , , , A33999 135 61 must must MD A33999 135 62 be be VB A33999 135 63 made make VBN A33999 135 64 equal equal JJ A33999 135 65 to to IN A33999 135 66 the the DT A33999 135 67 Radius Radius NNP A33999 135 68 of of IN A33999 135 69 the the DT A33999 135 70 Tangent Tangent NNP A33999 135 71 , , , A33999 135 72 by by IN A33999 135 73 which which WDT A33999 135 74 the the DT A33999 135 75 hours hour NNS A33999 135 76 were be VBD A33999 135 77 set set VBN A33999 135 78 off off RP A33999 135 79 . . . A33999 136 1 First first RB A33999 136 2 draw draw VB A33999 136 3 the the DT A33999 136 4 Tangent Tangent NNP A33999 136 5 line line NN A33999 136 6 CG cg NN A33999 136 7 , , , A33999 136 8 and and CC A33999 136 9 perpendicular perpendicular JJ A33999 136 10 thereto thereto NNP A33999 136 11 ACB ACB NNP A33999 136 12 , , , A33999 136 13 upon upon IN A33999 136 14 C C NNP A33999 136 15 as as IN A33999 136 16 a a DT A33999 136 17 Center Center NNP A33999 136 18 , , , A33999 136 19 with with IN A33999 136 20 any any DT A33999 136 21 Radius Radius NNP A33999 136 22 describe describe VBP A33999 136 23 the the DT A33999 136 24 Quadrant quadrant NN A33999 136 25 of of IN A33999 136 26 a a DT A33999 136 27 Circle Circle NNP A33999 136 28 HB HB NNP A33999 136 29 , , , A33999 136 30 and and CC A33999 136 31 prick prick VB A33999 136 32 off off RP A33999 136 33 the the DT A33999 136 34 Radius Radius NNP A33999 136 35 from from IN A33999 136 36 C C NNP A33999 136 37 to to IN A33999 136 38 A A NNP A33999 136 39 , , , A33999 136 40 from from IN A33999 136 41 H h NN A33999 136 42 to to IN A33999 136 43 E e NN A33999 136 44 , , , A33999 136 45 from from IN A33999 136 46 B b NN A33999 136 47 to to IN A33999 136 48 D d NN A33999 136 49 , , , A33999 136 50 from from IN A33999 136 51 D d NN A33999 136 52 to to IN A33999 136 53 F F NNP A33999 136 54 , , , A33999 136 55 from from IN A33999 136 56 F F NNP A33999 136 57 twice twice RB A33999 136 58 to to IN A33999 136 59 G. G. NNP A33999 136 60 A A NNP A33999 136 61 Ruler ruler NN A33999 136 62 laid lay VBN A33999 136 63 from from IN A33999 136 64 A a NN A33999 136 65 to to IN A33999 136 66 E e NN A33999 136 67 Findes finde NNS A33999 136 68 the the DT A33999 136 69 point point NN A33999 136 70 1 1 CD A33999 136 71 on on IN A33999 136 72 the the DT A33999 136 73 Tangent Tangent NNP A33999 136 74 CG CG NNP A33999 136 75 for for IN A33999 136 76 the the DT A33999 136 77 hour hour NN A33999 136 78 line line NN A33999 136 79 of of IN A33999 136 80 one one CD A33999 136 81 , , , A33999 136 82 and and CC A33999 136 83 laid lay VBN A33999 136 84 from from IN A33999 136 85 A a NN A33999 136 86 to to IN A33999 136 87 D d NN A33999 136 88 findes finde NNS A33999 136 89 the the DT A33999 136 90 point point NN A33999 136 91 2 2 CD A33999 136 92 for for IN A33999 136 93 the the DT A33999 136 94 hour hour NN A33999 136 95 line line NN A33999 136 96 of of IN A33999 136 97 two two CD A33999 136 98 , , , A33999 136 99 the the DT A33999 136 100 hour hour NN A33999 136 101 line line NN A33999 136 102 of of IN A33999 136 103 three three CD A33999 136 104 is be VBZ A33999 136 105 at at IN A33999 136 106 the the DT A33999 136 107 point point NN A33999 136 108 H h NN A33999 136 109 , , , A33999 136 110 of of IN A33999 136 111 four four CD A33999 136 112 at at IN A33999 136 113 the the DT A33999 136 114 point point NN A33999 136 115 F F NNP A33999 136 116 , , , A33999 136 117 of of IN A33999 136 118 five five CD A33999 136 119 at at IN A33999 136 120 the the DT A33999 136 121 point point NN A33999 136 122 G g NN A33999 136 123 ; ; : A33999 136 124 thus thus RB A33999 136 125 are be VBP A33999 136 126 the the DT A33999 136 127 whole whole JJ A33999 136 128 hours hour NNS A33999 136 129 easily easily RB A33999 136 130 inserted insert VBN A33999 136 131 . . . A33999 137 1 Now now RB A33999 137 2 to to TO A33999 137 3 insert insert VB A33999 137 4 the the DT A33999 137 5 halfs halfs NNP A33999 137 6 and and CC A33999 137 7 quarters quarter NNS A33999 137 8 . . . A33999 138 1 Divide divide VB A33999 138 2 the the DT A33999 138 3 Arches Arches NNPS A33999 138 4 BE be VB A33999 138 5 , , , A33999 138 6 ED ED NNP A33999 138 7 , , , A33999 138 8 DH DH NNP A33999 138 9 into into IN A33999 138 10 halfs halfs NNP A33999 138 11 , , , A33999 138 12 and and CC A33999 138 13 a a DT A33999 138 14 Ruler ruler NN A33999 138 15 laid lay VBN A33999 138 16 from from IN A33999 138 17 A a NN A33999 138 18 to to IN A33999 138 19 those those DT A33999 138 20 divisions division NNS A33999 138 21 wil wil VBP A33999 138 22 finde finde NN A33999 138 23 points point NNS A33999 138 24 upon upon IN A33999 138 25 CH CH NNP A33999 138 26 , , , A33999 138 27 where where WRB A33999 138 28 all all PDT A33999 138 29 the the DT A33999 138 30 half half JJ A33999 138 31 hours hour NNS A33999 138 32 under under IN A33999 138 33 45d 45d CD A33999 138 34 are be VBP A33999 138 35 to to TO A33999 138 36 be be VB A33999 138 37 graduated graduate VBN A33999 138 38 ; ; : A33999 138 39 and and CC A33999 138 40 if if IN A33999 138 41 a a DT A33999 138 42 Ruler ruler NN A33999 138 43 be be VB A33999 138 44 laid lay VBN A33999 138 45 from from IN A33999 138 46 B b NN A33999 138 47 to to IN A33999 138 48 those those DT A33999 138 49 respective respective JJ A33999 138 50 divisions division NNS A33999 138 51 of of IN A33999 138 52 the the DT A33999 138 53 Quadrant Quadrant NNP A33999 138 54 BH BH NNP A33999 138 55 , , , A33999 138 56 it -PRON- PRP A33999 138 57 will will MD A33999 138 58 finde finde VB A33999 138 59 points point NNS A33999 138 60 on on IN A33999 138 61 the the DT A33999 138 62 Tangent Tangent NNP A33999 138 63 CG CG NNP A33999 138 64 , , , A33999 138 65 where where WRB A33999 138 66 the the DT A33999 138 67 whole whole JJ A33999 138 68 hours hour NNS A33999 138 69 and and CC A33999 138 70 halfs halfs NNP A33999 138 71 are be VBP A33999 138 72 to to TO A33999 138 73 be be VB A33999 138 74 graduated graduate VBN A33999 138 75 above above IN A33999 138 76 45d 45d NNS A33999 138 77 , , , A33999 138 78 after after IN A33999 138 79 the the DT A33999 138 80 same same JJ A33999 138 81 manner manner NN A33999 138 82 are be VBP A33999 138 83 the the DT A33999 138 84 quarters quarter NNS A33999 138 85 to to TO A33999 138 86 be be VB A33999 138 87 inserted insert VBN A33999 138 88 ; ; : A33999 138 89 But but CC A33999 138 90 in in IN A33999 138 91 regard regard NN A33999 138 92 the the DT A33999 138 93 halfs half NNS A33999 138 94 and and CC A33999 138 95 quarters quarter NNS A33999 138 96 above above IN A33999 138 97 45d 45d CD A33999 138 98 will will MD A33999 138 99 by by IN A33999 138 100 this this DT A33999 138 101 direction direction NN A33999 138 102 be be VB A33999 138 103 found find VBN A33999 138 104 with with IN A33999 138 105 much much JJ A33999 138 106 uncertainty uncertainty NN A33999 138 107 , , , A33999 138 108 I -PRON- PRP A33999 138 109 have have VBP A33999 138 110 added add VBN A33999 138 111 the the DT A33999 138 112 help help NN A33999 138 113 following follow VBG A33999 138 114 . . . A33999 139 1 First first RB A33999 139 2 , , , A33999 139 3 Divide divide VB A33999 139 4 the the DT A33999 139 5 halfs half NNS A33999 139 6 and and CC A33999 139 7 quarters quarter NNS A33999 139 8 under under IN A33999 139 9 45d 45d NNS A33999 139 10 as as IN A33999 139 11 now now RB A33999 139 12 directed direct VBN A33999 139 13 , , , A33999 139 14 then then RB A33999 139 15 for for IN A33999 139 16 those those DT A33999 139 17 above above RB A33999 139 18 make make VBP A33999 139 19 use use NN A33999 139 20 of of IN A33999 139 21 this this DT A33999 139 22 Table table NN A33999 139 23 . . . A33999 140 1 In in IN A33999 140 2 a a DT A33999 140 3 direct direct JJ A33999 140 4 South South NNP A33999 140 5 Polar Polar NNP A33999 140 6 Dyal Dyal NNP A33999 140 7 . . . A33999 141 1 The the DT A33999 141 2 distances distance NNS A33999 141 3 of of IN A33999 141 4 these these DT A33999 141 5 hour hour NN A33999 141 6 lines line NNS A33999 141 7 . . . A33999 142 1 Are be VBP A33999 142 2 equal equal JJ A33999 142 3 to to IN A33999 142 4 the the DT A33999 142 5 distances distance NNS A33999 142 6 of of IN A33999 142 7 these these DT A33999 142 8 hour hour NN A33999 142 9 lines line NNS A33999 142 10 . . . A33999 143 1 3 3 CD A33999 143 2 and and CC A33999 143 3 3 3 CD A33999 143 4 ¼ ¼ NN A33999 143 5 3 3 CD A33999 143 6 ½ ½ NNP A33999 143 7 and and CC A33999 143 8 4 4 CD A33999 143 9 2 2 CD A33999 143 10 ¼ ¼ CD A33999 143 11 and and CC A33999 143 12 3 3 CD A33999 143 13 ¾ ¾ NN A33999 143 14 4 4 CD A33999 143 15 : : : A33999 143 16 and and CC A33999 143 17 4 4 CD A33999 143 18 ¼ ¼ NN A33999 143 19 4 4 CD A33999 143 20 ¼ ¼ CD A33999 143 21 and and CC A33999 143 22 4 4 CD A33999 143 23 ½ ½ NNP A33999 143 24 4 4 CD A33999 143 25 ¼ ¼ CD A33999 143 26 and and CC A33999 143 27 4 4 CD A33999 143 28 ¼ ¼ JJ A33999 143 29 ¾ ¾ NNP A33999 143 30 and and CC A33999 143 31 1 1 CD A33999 143 32 ¼ ¼ NN A33999 143 33 1 1 CD A33999 143 34 ¼ ¼ CD A33999 143 35 and and CC A33999 143 36 2 2 CD A33999 143 37 ½ ½ NN A33999 143 38 1 1 CD A33999 143 39 ½ ½ NN A33999 143 40 and and CC A33999 143 41 doubled double VBD A33999 143 42 ¾ ¾ NNP A33999 143 43 and and CC A33999 143 44 1 1 CD A33999 143 45 ¾ ¾ NN A33999 143 46 3 3 CD A33999 143 47 ½ ½ NNP A33999 143 48 and and CC A33999 143 49 3 3 CD A33999 143 50 ¾ ¾ NN A33999 143 51 doubled double VBD A33999 143 52 : : : A33999 143 53 otherwise otherwise RB A33999 143 54 , , , A33999 143 55 1 1 CD A33999 143 56 ¾ ¾ NN A33999 143 57 and and CC A33999 143 58 2 2 CD A33999 143 59 ¾ ¾ NN A33999 143 60 2 2 CD A33999 143 61 and and CC A33999 143 62 3 3 CD A33999 143 63 ¾ ¾ NN A33999 143 64 This this DT A33999 143 65 I -PRON- PRP A33999 143 66 do do VBP A33999 143 67 not not RB A33999 143 68 assert assert VB A33999 143 69 to to TO A33999 143 70 be be VB A33999 143 71 absolutely absolutely RB A33999 143 72 true true JJ A33999 143 73 , , , A33999 143 74 but but CC A33999 143 75 so so RB A33999 143 76 neer neer VB A33999 143 77 the the DT A33999 143 78 truth truth NN A33999 143 79 , , , A33999 143 80 that that IN A33999 143 81 there there EX A33999 143 82 will will MD A33999 143 83 not not RB A33999 143 84 arive arive JJ A33999 143 85 above above IN A33999 143 86 one one CD A33999 143 87 thousandth thousandth JJ A33999 143 88 part part NN A33999 143 89 of of IN A33999 143 90 the the DT A33999 143 91 Radius Radius NNP A33999 143 92 difference difference NN A33999 143 93 in in IN A33999 143 94 the the DT A33999 143 95 greatest great JJS A33999 143 96 Dyal Dyal NNP A33999 143 97 that that WDT A33999 143 98 is be VBZ A33999 143 99 made make VBN A33999 143 100 , , , A33999 143 101 and and CC A33999 143 102 will will MD A33999 143 103 be be VB A33999 143 104 more more RBR A33999 143 105 certain certain JJ A33999 143 106 then then RB A33999 143 107 any any DT A33999 143 108 Sector Sector NNP A33999 143 109 , , , A33999 143 110 though though IN A33999 143 111 of of IN A33999 143 112 a a DT A33999 143 113 Vast Vast NNP A33999 143 114 Radius Radius NNP A33999 143 115 , , , A33999 143 116 or or CC A33999 143 117 then then RB A33999 143 118 they -PRON- PRP A33999 143 119 can can MD A33999 143 120 with with IN A33999 143 121 convenience convenience NN A33999 143 122 be be VB A33999 143 123 prickt prickt NNS A33999 143 124 down down IN A33999 143 125 the the DT A33999 143 126 common common JJ A33999 143 127 way way NN A33999 143 128 , , , A33999 143 129 by by IN A33999 143 130 a a DT A33999 143 131 Contingent Contingent NNP A33999 143 132 Line Line NNP A33999 143 133 , , , A33999 143 134 the the DT A33999 143 135 meaning meaning NN A33999 143 136 of of IN A33999 143 137 the the DT A33999 143 138 Table table NN A33999 143 139 will will MD A33999 143 140 be be VB A33999 143 141 illustrated illustrate VBN A33999 143 142 by by IN A33999 143 143 one one CD A33999 143 144 or or CC A33999 143 145 two two CD A33999 143 146 examples example NNS A33999 143 147 . . . A33999 144 1 The the DT A33999 144 2 distance distance NN A33999 144 3 between between IN A33999 144 4 the the DT A33999 144 5 hour hour NN A33999 144 6 lines line NNS A33999 144 7 of of IN A33999 144 8 two two CD A33999 144 9 and and CC A33999 144 10 a a DT A33999 144 11 quarter quarter NN A33999 144 12 , , , A33999 144 13 and and CC A33999 144 14 three three CD A33999 144 15 and and CC A33999 144 16 three three CD A33999 144 17 quarters quarter NNS A33999 144 18 will will MD A33999 144 19 be be VB A33999 144 20 equal equal JJ A33999 144 21 to to IN A33999 144 22 twice twice PDT A33999 144 23 the the DT A33999 144 24 distance distance NN A33999 144 25 between between IN A33999 144 26 the the DT A33999 144 27 hour hour NN A33999 144 28 lines line NNS A33999 144 29 of of IN A33999 144 30 twelve twelve CD A33999 144 31 , , , A33999 144 32 and and CC A33999 144 33 one one CD A33999 144 34 and and CC A33999 144 35 a a DT A33999 144 36 half half NN A33999 144 37 . . . A33999 145 1 Also also RB A33999 145 2 the the DT A33999 145 3 distance distance NN A33999 145 4 between between IN A33999 145 5 four four CD A33999 145 6 and and CC A33999 145 7 a a DT A33999 145 8 quarter quarter NN A33999 145 9 , , , A33999 145 10 and and CC A33999 145 11 four four CD A33999 145 12 and and CC A33999 145 13 a a DT A33999 145 14 half half NN A33999 145 15 , , , A33999 145 16 is be VBZ A33999 145 17 equal equal JJ A33999 145 18 to to TO A33999 145 19 twice twice PDT A33999 145 20 the the DT A33999 145 21 distance distance NN A33999 145 22 between between IN A33999 145 23 three three CD A33999 145 24 and and CC A33999 145 25 a a DT A33999 145 26 half half NN A33999 145 27 , , , A33999 145 28 and and CC A33999 145 29 three three CD A33999 145 30 and and CC A33999 145 31 three three CD A33999 145 32 quarters quarter NNS A33999 145 33 ; ; : A33999 145 34 or or CC A33999 145 35 it -PRON- PRP A33999 145 36 is be VBZ A33999 145 37 equal equal JJ A33999 145 38 to to IN A33999 145 39 the the DT A33999 145 40 distance distance NN A33999 145 41 between between IN A33999 145 42 one one CD A33999 145 43 and and CC A33999 145 44 three three CD A33999 145 45 quarters quarter NNS A33999 145 46 , , , A33999 145 47 and and CC A33999 145 48 two two CD A33999 145 49 and and CC A33999 145 50 three three CD A33999 145 51 quarters quarter NNS A33999 145 52 , , , A33999 145 53 but but CC A33999 145 54 the the DT A33999 145 55 former former JJ A33999 145 56 is be VBZ A33999 145 57 nearer nearer IN A33999 145 58 the the DT A33999 145 59 truth truth NN A33999 145 60 . . . A33999 146 1 It -PRON- PRP A33999 146 2 will will MD A33999 146 3 be be VB A33999 146 4 inconvenient inconvenient JJ A33999 146 5 in in IN A33999 146 6 such such JJ A33999 146 7 plains plain NNS A33999 146 8 , , , A33999 146 9 as as IN A33999 146 10 also also RB A33999 146 11 in in IN A33999 146 12 direct direct JJ A33999 146 13 East East NNP A33999 146 14 or or CC A33999 146 15 West West NNP A33999 146 16 Dyals Dyals NNPS A33999 146 17 , , , A33999 146 18 to to TO A33999 146 19 express express VB A33999 146 20 any any DT A33999 146 21 hour hour NN A33999 146 22 line line NN A33999 146 23 from from IN A33999 146 24 the the DT A33999 146 25 substile substile NN A33999 146 26 beyond beyond IN A33999 146 27 75d 75d NNS A33999 146 28 or or CC A33999 146 29 5 5 CD A33999 146 30 hours hour NNS A33999 146 31 . . . A33999 147 1 To to IN A33999 147 2 these these DT A33999 147 3 I -PRON- PRP A33999 147 4 may may MD A33999 147 5 add add VB A33999 147 6 some some DT A33999 147 7 other other JJ A33999 147 8 observations observation NNS A33999 147 9 which which WDT A33999 147 10 were be VBD A33999 147 11 communicated communicate VBN A33999 147 12 by by IN A33999 147 13 Doctor Doctor NNP A33999 147 14 Richard Richard NNP A33999 147 15 Sterne Sterne NNP A33999 147 16 , , , A33999 147 17 to to IN A33999 147 18 Mr. Mr. NNP A33999 147 19 Sutton Sutton NNP A33999 147 20 , , , A33999 147 21 which which WDT A33999 147 22 may may MD A33999 147 23 be be VB A33999 147 24 of of IN A33999 147 25 use use NN A33999 147 26 to to TO A33999 147 27 try try VB A33999 147 28 the the DT A33999 147 29 truth truth NN A33999 147 30 of of IN A33999 147 31 these these DT A33999 147 32 kinde kinde NNP A33999 147 33 of of IN A33999 147 34 Plains Plains NNPS A33999 147 35 . . . A33999 148 1 1 1 LS A33999 148 2 . . . A33999 149 1 The the DT A33999 149 2 distance distance NN A33999 149 3 between between IN A33999 149 4 the the DT A33999 149 5 hours hour NNS A33999 149 6 of of IN A33999 149 7 3 3 CD A33999 149 8 and and CC A33999 149 9 4 4 CD A33999 149 10 , , , A33999 149 11 is be VBZ A33999 149 12 equal equal JJ A33999 149 13 to to IN A33999 149 14 the the DT A33999 149 15 distance distance NN A33999 149 16 between between IN A33999 149 17 the the DT A33999 149 18 hours hour NNS A33999 149 19 of of IN A33999 149 20 1 1 CD A33999 149 21 and and CC A33999 149 22 3 3 CD A33999 149 23 . . . A33999 150 1 2 2 LS A33999 150 2 . . . A33999 151 1 The the DT A33999 151 2 distance distance NN A33999 151 3 between between IN A33999 151 4 the the DT A33999 151 5 hours hour NNS A33999 151 6 of of IN A33999 151 7 2 2 CD A33999 151 8 and and CC A33999 151 9 4 4 CD A33999 151 10 , , , A33999 151 11 is be VBZ A33999 151 12 double double JJ A33999 151 13 to to IN A33999 151 14 the the DT A33999 151 15 distance distance NN A33999 151 16 between between IN A33999 151 17 the the DT A33999 151 18 hours hour NNS A33999 151 19 of of IN A33999 151 20 12 12 CD A33999 151 21 and and CC A33999 151 22 2 2 CD A33999 151 23 . . . A33999 152 1 3 3 LS A33999 152 2 . . . A33999 153 1 The the DT A33999 153 2 distance distance NN A33999 153 3 between between IN A33999 153 4 the the DT A33999 153 5 hours hour NNS A33999 153 6 of of IN A33999 153 7 11 11 CD A33999 153 8 and and CC A33999 153 9 4 4 CD A33999 153 10 , , , A33999 153 11 is be VBZ A33999 153 12 doubte doubte JJ A33999 153 13 to to IN A33999 153 14 the the DT A33999 153 15 distance distance NN A33999 153 16 between between IN A33999 153 17 12 12 CD A33999 153 18 and and CC A33999 153 19 3 3 CD A33999 153 20 , , , A33999 153 21 or or CC A33999 153 22 to to IN A33999 153 23 that that DT A33999 153 24 between between IN A33999 153 25 9 9 CD A33999 153 26 and and CC A33999 153 27 12 12 CD A33999 153 28 , , , A33999 153 29 and and CC A33999 153 30 so so RB A33999 153 31 equal equal JJ A33999 153 32 to to IN A33999 153 33 the the DT A33999 153 34 distance distance NN A33999 153 35 between between IN A33999 153 36 9 9 CD A33999 153 37 and and CC A33999 153 38 3 3 CD A33999 153 39 , , , A33999 153 40 also also RB A33999 153 41 equal equal JJ A33999 153 42 to to IN A33999 153 43 the the DT A33999 153 44 distance distance NN A33999 153 45 between between IN A33999 153 46 4 4 CD A33999 153 47 and and CC A33999 153 48 5 5 CD A33999 153 49 . . . A33999 154 1 4 4 LS A33999 154 2 . . . A33999 155 1 The the DT A33999 155 2 distance distance NN A33999 155 3 between between IN A33999 155 4 the the DT A33999 155 5 hours hour NNS A33999 155 6 of of IN A33999 155 7 11 11 CD A33999 155 8 and and CC A33999 155 9 5 5 CD A33999 155 10 , , , A33999 155 11 is be VBZ A33999 155 12 double double JJ A33999 155 13 to to IN A33999 155 14 the the DT A33999 155 15 distance distance NN A33999 155 16 between between IN A33999 155 17 the the DT A33999 155 18 hours hour NNS A33999 155 19 of of IN A33999 155 20 11 11 CD A33999 155 21 and and CC A33999 155 22 4 4 CD A33999 155 23 , , , A33999 155 24 as as RB A33999 155 25 also also RB A33999 155 26 to to IN A33999 155 27 the the DT A33999 155 28 distance distance NN A33999 155 29 between between IN A33999 155 30 the the DT A33999 155 31 hours hour NNS A33999 155 32 of of IN A33999 155 33 4 4 CD A33999 155 34 and and CC A33999 155 35 5 5 CD A33999 155 36 , , , A33999 155 37 and and CC A33999 155 38 between between IN A33999 155 39 9 9 CD A33999 155 40 and and CC A33999 155 41 3 3 CD A33999 155 42 ; ; : A33999 155 43 and and CC A33999 155 44 quadruple quadruple NN A33999 155 45 to to IN A33999 155 46 the the DT A33999 155 47 distance distance NN A33999 155 48 between between IN A33999 155 49 12 12 CD A33999 155 50 and and CC A33999 155 51 9 9 CD A33999 155 52 , , , A33999 155 53 or or CC A33999 155 54 between between IN A33999 155 55 12 12 CD A33999 155 56 and and CC A33999 155 57 3 3 CD A33999 155 58 . . . A33999 156 1 These these DT A33999 156 2 are be VBP A33999 156 3 absolutely absolutely RB A33999 156 4 true true JJ A33999 156 5 , , , A33999 156 6 as as IN A33999 156 7 may may MD A33999 156 8 be be VB A33999 156 9 found find VBN A33999 156 10 by by IN A33999 156 11 comparing compare VBG A33999 156 12 the the DT A33999 156 13 differences difference NNS A33999 156 14 of of IN A33999 156 15 the the DT A33999 156 16 respective respective JJ A33999 156 17 Tangents tangent NNS A33999 156 18 from from IN A33999 156 19 the the DT A33999 156 20 natural natural JJ A33999 156 21 Tables Tables NNPS A33999 156 22 . . . A33999 157 1 To to TO A33999 157 2 draw draw VB A33999 157 3 a a DT A33999 157 4 Polar polar JJ A33999 157 5 direct direct JJ A33999 157 6 South South NNP A33999 157 7 Dyal Dyal NNP A33999 157 8 . . . A33999 158 1 Having have VBG A33999 158 2 drawn draw VBN A33999 158 3 the the DT A33999 158 4 Plains Plains NNPS A33999 158 5 perpendicular perpendicular JJ A33999 158 6 in in IN A33999 158 7 the the DT A33999 158 8 middle middle NN A33999 158 9 of of IN A33999 158 10 the the DT A33999 158 11 Plain Plain NNP A33999 158 12 , , , A33999 158 13 let let VB A33999 158 14 that that DT A33999 158 15 be be VB A33999 158 16 the the DT A33999 158 17 hour hour NN A33999 158 18 line line NN A33999 158 19 of of IN A33999 158 20 12 12 CD A33999 158 21 , , , A33999 158 22 then then RB A33999 158 23 assuming assume VBG A33999 158 24 the the DT A33999 158 25 stile stile NN A33999 158 26 to to TO A33999 158 27 be be VB A33999 158 28 of of IN A33999 158 29 any any DT A33999 158 30 convenient convenient JJ A33999 158 31 parallel parallel NN A33999 158 32 height height NN A33999 158 33 , , , A33999 158 34 that that DT A33999 158 35 will will MD A33999 158 36 suit suit VB A33999 158 37 the the DT A33999 158 38 plain plain NN A33999 158 39 , , , A33999 158 40 making make VBG A33999 158 41 that that IN A33999 158 42 Radius Radius NNP A33999 158 43 , , , A33999 158 44 divide divide VB A33999 158 45 a a DT A33999 158 46 Tangent Tangent NNP A33999 158 47 line line NN A33999 158 48 into into IN A33999 158 49 hours hour NNS A33999 158 50 and and CC A33999 158 51 quarters quarter NNS A33999 158 52 by by IN A33999 158 53 the the DT A33999 158 54 former former JJ A33999 158 55 directions direction NNS A33999 158 56 , , , A33999 158 57 and and CC A33999 158 58 prick prick VB A33999 158 59 them -PRON- PRP A33999 158 60 down down RP A33999 158 61 on on IN A33999 158 62 the the DT A33999 158 63 Plain Plain NNP A33999 158 64 , , , A33999 158 65 upon upon IN A33999 158 66 a a DT A33999 158 67 line line NN A33999 158 68 drawn draw VBN A33999 158 69 perpendicular perpendicular JJ A33999 158 70 to to IN A33999 158 71 the the DT A33999 158 72 Meridian meridian JJ A33999 158 73 or or CC A33999 158 74 hour hour NN A33999 158 75 line line NN A33999 158 76 of of IN A33999 158 77 12 12 CD A33999 158 78 on on IN A33999 158 79 each each DT A33999 158 80 side side NN A33999 158 81 thereof thereof RB A33999 158 82 , , , A33999 158 83 and and CC A33999 158 84 through through IN A33999 158 85 the the DT A33999 158 86 points point NNS A33999 158 87 so so RB A33999 158 88 prickt prickt VBZ A33999 158 89 off off RP A33999 158 90 , , , A33999 158 91 draw draw VB A33999 158 92 lines line NNS A33999 158 93 parallel parallel JJ A33999 158 94 to to IN A33999 158 95 the the DT A33999 158 96 Meridian meridian JJ A33999 158 97 line line NN A33999 158 98 , , , A33999 158 99 and and CC A33999 158 100 they -PRON- PRP A33999 158 101 shall shall MD A33999 158 102 be be VB A33999 158 103 the the DT A33999 158 104 hour hour NN A33999 158 105 lines line NNS A33999 158 106 required require VBN A33999 158 107 , , , A33999 158 108 as as IN A33999 158 109 in in IN A33999 158 110 the the DT A33999 158 111 Example Example NNP A33999 158 112 . . . A33999 159 1 To to TO A33999 159 2 describe describe VB A33999 159 3 an an DT A33999 159 4 Equinoctial equinoctial JJ A33999 159 5 Dyal Dyal NNP A33999 159 6 . . . A33999 160 1 Such such JJ A33999 160 2 direct direct JJ A33999 160 3 North North NNP A33999 160 4 Recliners Recliners NNPS A33999 160 5 , , , A33999 160 6 or or CC A33999 160 7 South South NNP A33999 160 8 Incliners Incliners NNPS A33999 160 9 , , , A33999 160 10 whose whose WP$ A33999 160 11 Re Re NNP A33999 160 12 - - HYPH A33999 160 13 Inclination Inclination NNP A33999 160 14 is be VBZ A33999 160 15 equal equal JJ A33999 160 16 to to IN A33999 160 17 the the DT A33999 160 18 Latitude Latitude NNP A33999 160 19 , , , A33999 160 20 are be VBP A33999 160 21 parallel parallel JJ A33999 160 22 to to IN A33999 160 23 the the DT A33999 160 24 Equinoctial Equinoctial NNP A33999 160 25 Circle Circle NNP A33999 160 26 , , , A33999 160 27 and and CC A33999 160 28 are be VBP A33999 160 29 therefore therefore RB A33999 160 30 called call VBN A33999 160 31 Equinoctial Equinoctial NNP A33999 160 32 Dyals Dyals NNPS A33999 160 33 , , , A33999 160 34 there there EX A33999 160 35 is be VBZ A33999 160 36 no no DT A33999 160 37 difficulty difficulty NN A33999 160 38 in in IN A33999 160 39 describing describing NN A33999 160 40 of of IN A33999 160 41 these these DT A33999 160 42 : : : A33999 160 43 Divide divide VB A33999 160 44 a a DT A33999 160 45 circle circle NN A33999 160 46 into into IN A33999 160 47 24 24 CD A33999 160 48 equal equal JJ A33999 160 49 parts part NNS A33999 160 50 for for IN A33999 160 51 the the DT A33999 160 52 whole whole JJ A33999 160 53 hours hour NNS A33999 160 54 , , , A33999 160 55 & & CC A33999 160 56 afterwards afterwards RB A33999 160 57 into into IN A33999 160 58 halfs halfs NNP A33999 160 59 & & CC A33999 160 60 quarters quarter NNS A33999 160 61 , , , A33999 160 62 and and CC A33999 160 63 place place VB A33999 160 64 the the DT A33999 160 65 Meridian meridian JJ A33999 160 66 line line NN A33999 160 67 in in IN A33999 160 68 the the DT A33999 160 69 Plains Plains NNPS A33999 160 70 perpendicular perpendicular NN A33999 160 71 , , , A33999 160 72 assuming assume VBG A33999 160 73 as as IN A33999 160 74 many many JJ A33999 160 75 of of IN A33999 160 76 the the DT A33999 160 77 former former JJ A33999 160 78 hours hour NNS A33999 160 79 as as IN A33999 160 80 the the DT A33999 160 81 Sun Sun NNP A33999 160 82 can can MD A33999 160 83 shine shine VB A33999 160 84 upon upon IN A33999 160 85 for for IN A33999 160 86 either either DT A33999 160 87 face face NN A33999 160 88 , , , A33999 160 89 and and CC A33999 160 90 then then RB A33999 160 91 placing place VBG A33999 160 92 a a DT A33999 160 93 round round JJ A33999 160 94 Wyre Wyre NNP A33999 160 95 in in IN A33999 160 96 the the DT A33999 160 97 Center Center NNP A33999 160 98 for for IN A33999 160 99 the the DT A33999 160 100 Stile Stile NNP A33999 160 101 , , , A33999 160 102 perpendicular perpendicular JJ A33999 160 103 to to IN A33999 160 104 the the DT A33999 160 105 Plain Plain NNP A33999 160 106 , , , A33999 160 107 and and CC A33999 160 108 the the DT A33999 160 109 Dyal Dyal NNP A33999 160 110 is be VBZ A33999 160 111 finished finish VBN A33999 160 112 . . . A33999 161 1 A a DT A33999 161 2 South south JJ A33999 161 3 plaine plaine NN A33999 161 4 Declining Declining NNP A33999 161 5 30d 30d NNPS A33999 161 6 East East NNP A33999 161 7 Latitude Latitude NNP A33999 161 8 51 51 CD A33999 161 9 - - SYM A33999 161 10 32′ 32′ CD A33999 161 11 page page NN A33999 161 12 13 13 CD A33999 161 13 page page NN A33999 161 14 17 17 CD A33999 161 15 A a DT A33999 161 16 South South NNP A33999 161 17 Diall Diall NNP A33999 161 18 Declin Declin NNP A33999 161 19 30d 30d NNPS A33999 161 20 East East NNP A33999 161 21 Latitude Latitude NNP A33999 161 22 51 51 CD A33999 161 23 - - SYM A33999 161 24 32′ 32′ CD A33999 161 25 To to TO A33999 161 26 prick prick VB A33999 161 27 off off RP A33999 161 28 the the DT A33999 161 29 Substile Substile NNP A33999 161 30 and and CC A33999 161 31 Stiles Stiles NNP A33999 161 32 height height NN A33999 161 33 on on IN A33999 161 34 upright upright JJ A33999 161 35 Decliners Decliners NNPS A33999 161 36 in in IN A33999 161 37 their -PRON- PRP$ A33999 161 38 true true JJ A33999 161 39 Coast coast NN A33999 161 40 and and CC A33999 161 41 quantity quantity NN A33999 161 42 . . . A33999 162 1 On on IN A33999 162 2 such such JJ A33999 162 3 Plains Plains NNPS A33999 162 4 draw draw VBP A33999 162 5 a a DT A33999 162 6 Horizontal Horizontal NNP A33999 162 7 Line Line NNP A33999 162 8 , , , A33999 162 9 and and CC A33999 162 10 cross cross VB A33999 162 11 the the DT A33999 162 12 same same JJ A33999 162 13 with with IN A33999 162 14 a a DT A33999 162 15 perpendicular perpendicular JJ A33999 162 16 or or CC A33999 162 17 Vertical vertical JJ A33999 162 18 , , , A33999 162 19 at at IN A33999 162 20 the the DT A33999 162 21 intersection intersection NN A33999 162 22 set set VBN A33999 162 23 V v NN A33999 162 24 at at IN A33999 162 25 the the DT A33999 162 26 upper upper JJ A33999 162 27 end end NN A33999 162 28 of of IN A33999 162 29 the the DT A33999 162 30 Vertical Vertical NNP A33999 162 31 Line Line NNP A33999 162 32 set set NN A33999 162 33 S S NNP A33999 162 34 , , , A33999 162 35 at at IN A33999 162 36 the the DT A33999 162 37 lower low JJR A33999 162 38 end end NN A33999 162 39 N n CD A33999 162 40 , , , A33999 162 41 at at IN A33999 162 42 the the DT A33999 162 43 East East NNP A33999 162 44 end end NN A33999 162 45 of of IN A33999 162 46 the the DT A33999 162 47 Horizontal Horizontal NNP A33999 162 48 Line Line NNP A33999 162 49 set set NN A33999 162 50 E E NNS A33999 162 51 , , , A33999 162 52 at at IN A33999 162 53 the the DT A33999 162 54 West West NNP A33999 162 55 end end NN A33999 162 56 W W NNP A33999 162 57 , , , A33999 162 58 prick prick VB A33999 162 59 off off RP A33999 162 60 the the DT A33999 162 61 Declination Declination NNP A33999 162 62 of of IN A33999 162 63 the the DT A33999 162 64 Plain Plain NNP A33999 162 65 in in IN A33999 162 66 its -PRON- PRP$ A33999 162 67 proper proper JJ A33999 162 68 Coast Coast NNP A33999 162 69 from from IN A33999 162 70 S S NNP A33999 162 71 or or CC A33999 162 72 N n NN A33999 162 73 to to IN A33999 162 74 D d NN A33999 162 75 , , , A33999 162 76 and and CC A33999 162 77 draw draw VB A33999 162 78 DV DV NNP A33999 162 79 through through IN A33999 162 80 the the DT A33999 162 81 Center Center NNP A33999 162 82 , , , A33999 162 83 the the DT A33999 162 84 same same JJ A33999 162 85 way way NN A33999 162 86 count count VB A33999 162 87 off off RP A33999 162 88 the the DT A33999 162 89 Latitude Latitude NNP A33999 162 90 to to IN A33999 162 91 L L NNP A33999 162 92 , , , A33999 162 93 and and CC A33999 162 94 from from IN A33999 162 95 it -PRON- PRP A33999 162 96 draw draw VB A33999 162 97 a a DT A33999 162 98 Line line NN A33999 162 99 into into IN A33999 162 100 the the DT A33999 162 101 Center Center NNP A33999 162 102 ; ; : A33999 162 103 in in IN A33999 162 104 the the DT A33999 162 105 same same JJ A33999 162 106 quarter quarter NN A33999 162 107 make make VBP A33999 162 108 a a DT A33999 162 109 Geometrical Geometrical NNP A33999 162 110 square square NN A33999 162 111 of of IN A33999 162 112 any any DT A33999 162 113 proportion proportion NN A33999 162 114 at at IN A33999 162 115 pleasure pleasure NN A33999 162 116 , , , A33999 162 117 so so IN A33999 162 118 that that IN A33999 162 119 two two CD A33999 162 120 sides side NNS A33999 162 121 thereof thereof RB A33999 162 122 may may MD A33999 162 123 be be VB A33999 162 124 parallel parallel JJ A33999 162 125 to to IN A33999 162 126 the the DT A33999 162 127 Horizontal horizontal JJ A33999 162 128 and and CC A33999 162 129 Vertical Vertical NNP A33999 162 130 Line Line NNP A33999 162 131 , , , A33999 162 132 at at IN A33999 162 133 the the DT A33999 162 134 intersection intersection NN A33999 162 135 of of IN A33999 162 136 one one CD A33999 162 137 of of IN A33999 162 138 the the DT A33999 162 139 sides side NNS A33999 162 140 thereof thereof RB A33999 162 141 , , , A33999 162 142 with with IN A33999 162 143 the the DT A33999 162 144 Vertical vertical JJ A33999 162 145 set set NN A33999 162 146 A a NN A33999 162 147 , , , A33999 162 148 and and CC A33999 162 149 of of IN A33999 162 150 the the DT A33999 162 151 other other JJ A33999 162 152 side side NN A33999 162 153 , , , A33999 162 154 with with IN A33999 162 155 the the DT A33999 162 156 Horizontal Horizontal NNP A33999 162 157 Line Line NNP A33999 162 158 , , , A33999 162 159 set set NN A33999 162 160 B b NN A33999 162 161 , , , A33999 162 162 and and CC A33999 162 163 where where WRB A33999 162 164 the the DT A33999 162 165 Latitude Latitude NNP A33999 162 166 Line Line NNP A33999 162 167 intersects intersect VBZ A33999 162 168 the the DT A33999 162 169 side side NN A33999 162 170 of of IN A33999 162 171 the the DT A33999 162 172 square square NN A33999 162 173 , , , A33999 162 174 set set VBD A33999 162 175 F. F. NNP A33999 162 176 To to TO A33999 162 177 prick prick VB A33999 162 178 off off RP A33999 162 179 the the DT A33999 162 180 Substilar Substilar NNP A33999 162 181 . . . A33999 163 1 For for IN A33999 163 2 Latitudes Latitudes NNPS A33999 163 3 above above IN A33999 163 4 45d 45d NNS A33999 163 5 take take VBP A33999 163 6 BF BF NNP A33999 163 7 , , , A33999 163 8 and and CC A33999 163 9 prick prick VB A33999 163 10 it -PRON- PRP A33999 163 11 on on IN A33999 163 12 the the DT A33999 163 13 Line Line NNP A33999 163 14 of of IN A33999 163 15 Declination declination NN A33999 163 16 beyond beyond IN A33999 163 17 the the DT A33999 163 18 Center Center NNP A33999 163 19 from from IN A33999 163 20 V V NNP A33999 163 21 to to IN A33999 163 22 O o NN A33999 163 23 , , , A33999 163 24 and and CC A33999 163 25 from from IN A33999 163 26 the the DT A33999 163 27 point point NN A33999 163 28 O o UH A33999 163 29 , , , A33999 163 30 draw draw VB A33999 163 31 the the DT A33999 163 32 Line Line NNP A33999 163 33 OC OC NNP A33999 163 34 parallel parallel NN A33999 163 35 to to IN A33999 163 36 the the DT A33999 163 37 Vertical Vertical NNP A33999 163 38 Line Line NNP A33999 163 39 , , , A33999 163 40 and and CC A33999 163 41 produced produce VBN A33999 163 42 beyond beyond IN A33999 163 43 O o UH A33999 163 44 , , , A33999 163 45 if if IN A33999 163 46 need need NN A33999 163 47 require require VB A33999 163 48 , , , A33999 163 49 and and CC A33999 163 50 thereon thereon NN A33999 163 51 from from IN A33999 163 52 C C NNP A33999 163 53 to to IN A33999 163 54 I -PRON- PRP A33999 163 55 prick prick VBP A33999 163 56 the the DT A33999 163 57 side side NN A33999 163 58 of of IN A33999 163 59 the the DT A33999 163 60 Square Square NNP A33999 163 61 , , , A33999 163 62 and and CC A33999 163 63 a a DT A33999 163 64 line line NN A33999 163 65 drawn draw VBN A33999 163 66 into into IN A33999 163 67 the the DT A33999 163 68 Center Center NNP A33999 163 69 , , , A33999 163 70 shall shall MD A33999 163 71 be be VB A33999 163 72 the the DT A33999 163 73 Substilar substilar JJ A33999 163 74 line line NN A33999 163 75 ; ; : A33999 163 76 but but CC A33999 163 77 for for IN A33999 163 78 Latitudes latitude NNS A33999 163 79 under under IN A33999 163 80 45d 45d NNS A33999 163 81 prick prick VBP A33999 163 82 the the DT A33999 163 83 side side NN A33999 163 84 of of IN A33999 163 85 the the DT A33999 163 86 square square NN A33999 163 87 from from IN A33999 163 88 V v NN A33999 163 89 to to IN A33999 163 90 O o NN A33999 163 91 , , , A33999 163 92 and and CC A33999 163 93 draw draw VB A33999 163 94 OC OC NNP A33999 163 95 as as IN A33999 163 96 before before RB A33999 163 97 , , , A33999 163 98 and and CC A33999 163 99 make make VB A33999 163 100 CI CI NNP A33999 163 101 equal equal JJ A33999 163 102 to to IN A33999 163 103 AF AF NNP A33999 163 104 , , , A33999 163 105 and and CC A33999 163 106 a a DT A33999 163 107 line line NN A33999 163 108 from from IN A33999 163 109 I -PRON- PRP A33999 163 110 drawn draw VBN A33999 163 111 into into IN A33999 163 112 the the DT A33999 163 113 Center Center NNP A33999 163 114 , , , A33999 163 115 shall shall MD A33999 163 116 be be VB A33999 163 117 the the DT A33999 163 118 Substilar substilar JJ A33999 163 119 line line NN A33999 163 120 . . . A33999 164 1 Stiles stile VBZ A33999 164 2 Height Height NNP A33999 164 3 . . . A33999 165 1 From from IN A33999 165 2 the the DT A33999 165 3 Point Point NNP A33999 165 4 I -PRON- PRP A33999 165 5 erect erect VBP A33999 165 6 the the DT A33999 165 7 extent extent NN A33999 165 8 OC OC NNP A33999 165 9 perpendicularly perpendicularly RB A33999 165 10 to to IN A33999 165 11 the the DT A33999 165 12 substilar substilar JJ A33999 165 13 OI OI NNP A33999 165 14 , , , A33999 165 15 at at IN A33999 165 16 the the DT A33999 165 17 extremity extremity NN A33999 165 18 thereof thereof RB A33999 165 19 set set VBD A33999 165 20 K K NNP A33999 165 21 , , , A33999 165 22 from from IN A33999 165 23 whence whence NN A33999 165 24 draw draw VBP A33999 165 25 a a DT A33999 165 26 line line NN A33999 165 27 into into IN A33999 165 28 the the DT A33999 165 29 Center Center NNP A33999 165 30 , , , A33999 165 31 and and CC A33999 165 32 the the DT A33999 165 33 Angle Angle NNP A33999 165 34 IVK IVK NNP A33999 165 35 will will MD A33999 165 36 shew shew VB A33999 165 37 how how WRB A33999 165 38 much much JJ A33999 165 39 the the DT A33999 165 40 stile stile NN A33999 165 41 is be VBZ A33999 165 42 to to TO A33999 165 43 be be VB A33999 165 44 elevated elevate VBN A33999 165 45 above above IN A33999 165 46 the the DT A33999 165 47 substilar substilar JJ A33999 165 48 line line NN A33999 165 49 . . . A33999 166 1 In in IN A33999 166 2 order order NN A33999 166 3 to to IN A33999 166 4 the the DT A33999 166 5 Demonstration Demonstration NNP A33999 166 6 hereof hereof NN A33999 166 7 , , , A33999 166 8 let let VB A33999 166 9 it -PRON- PRP A33999 166 10 be be VB A33999 166 11 observed observe VBN A33999 166 12 that that IN A33999 166 13 an an DT A33999 166 14 Angle Angle NNP A33999 166 15 may may MD A33999 166 16 be be VB A33999 166 17 prickt prickt NNS A33999 166 18 off off RP A33999 166 19 by by IN A33999 166 20 Sines Sines NNP A33999 166 21 or or CC A33999 166 22 Tangents Tangents NNP A33999 166 23 in in IN A33999 166 24 stead stead NN A33999 166 25 of of IN A33999 166 26 Chords Chords NNPS A33999 166 27 . . . A33999 167 1 To to TO A33999 167 2 prick prick VB A33999 167 3 off off RP A33999 167 4 an an DT A33999 167 5 Angle Angle NNP A33999 167 6 by by IN A33999 167 7 Sines Sines NNPS A33999 167 8 or or CC A33999 167 9 Tangents Tangents NNP A33999 167 10 . . . A33999 168 1 As as IN A33999 168 2 in in IN A33999 168 3 the the DT A33999 168 4 Scheme Scheme NNP A33999 168 5 annexed annexed NNS A33999 168 6 , , , A33999 168 7 let let VBD A33999 168 8 BC BC NNP A33999 168 9 be be VB A33999 168 10 Radius Radius NNP A33999 168 11 , , , A33999 168 12 and and CC A33999 168 13 let let VB A33999 168 14 there there EX A33999 168 15 be be VB A33999 168 16 an an DT A33999 168 17 arch arch JJ A33999 168 18 prickt prickt NNS A33999 168 19 off off RP A33999 168 20 with with IN A33999 168 21 Chords Chords NNPS A33999 168 22 , , , A33999 168 23 as as IN A33999 168 24 BE be NN A33999 168 25 ; ; : A33999 168 26 I -PRON- PRP A33999 168 27 say say VBP A33999 168 28 , , , A33999 168 29 if if IN A33999 168 30 the the DT A33999 168 31 Tangent Tangent NNP A33999 168 32 of of IN A33999 168 33 the the DT A33999 168 34 said say VBD A33999 168 35 Ark Ark NNP A33999 168 36 BA BA NNP A33999 168 37 be be VB A33999 168 38 taken take VBN A33999 168 39 out out IN A33999 168 40 of of IN A33999 168 41 a a DT A33999 168 42 line line NN A33999 168 43 of of IN A33999 168 44 Tangents tangent NNS A33999 168 45 to to IN A33999 168 46 the the DT A33999 168 47 same same JJ A33999 168 48 Radius Radius NNP A33999 168 49 , , , A33999 168 50 and and CC A33999 168 51 be be VB A33999 168 52 erected erect VBN A33999 168 53 perpendicular perpendicular JJ A33999 168 54 to to IN A33999 168 55 the the DT A33999 168 56 end end NN A33999 168 57 of of IN A33999 168 58 the the DT A33999 168 59 Radius Radius NNP A33999 168 60 , , , A33999 168 61 as as IN A33999 168 62 BA BA NNP A33999 168 63 , , , A33999 168 64 a a DT A33999 168 65 line line NN A33999 168 66 drawn draw VBN A33999 168 67 from from IN A33999 168 68 A a DT A33999 168 69 into into IN A33999 168 70 the the DT A33999 168 71 center center NN A33999 168 72 , , , A33999 168 73 shall shall MD A33999 168 74 include include VB A33999 168 75 the the DT A33999 168 76 same same JJ A33999 168 77 Angle Angle NNP A33999 168 78 as as IN A33999 168 79 was be VBD A33999 168 80 prickt prickt NNS A33999 168 81 off off RP A33999 168 82 by by IN A33999 168 83 Chords Chords NNPS A33999 168 84 , , , A33999 168 85 as as IN A33999 168 86 is be VBZ A33999 168 87 evident evident JJ A33999 168 88 from from IN A33999 168 89 the the DT A33999 168 90 definition definition NN A33999 168 91 of of IN A33999 168 92 a a DT A33999 168 93 Tangent Tangent NNP A33999 168 94 . . . A33999 169 1 In in IN A33999 169 2 like like IN A33999 169 3 manner manner NN A33999 169 4 an an DT A33999 169 5 Angle Angle NNP A33999 169 6 may may MD A33999 169 7 be be VB A33999 169 8 prickt prickt NNS A33999 169 9 off off RP A33999 169 10 by by IN A33999 169 11 Sines Sines NNP A33999 169 12 , , , A33999 169 13 the the DT A33999 169 14 nearest near JJS A33999 169 15 distance distance NN A33999 169 16 from from IN A33999 169 17 E E NNP A33999 169 18 to to IN A33999 169 19 BC BC NNP A33999 169 20 is be VBZ A33999 169 21 the the DT A33999 169 22 Sine Sine NNP A33999 169 23 of of IN A33999 169 24 the the DT A33999 169 25 Arch Arch NNP A33999 169 26 BE be NN A33999 169 27 , , , A33999 169 28 so so CC A33999 169 29 in in IN A33999 169 30 like like UH A33999 169 31 manner manner NN A33999 169 32 the the DT A33999 169 33 nearest near JJS A33999 169 34 distance distance NN A33999 169 35 from from IN A33999 169 36 B b NN A33999 169 37 to to IN A33999 169 38 EC EC NNP A33999 169 39 , , , A33999 169 40 is be VBZ A33999 169 41 the the DT A33999 169 42 Sine Sine NNP A33999 169 43 of of IN A33999 169 44 the the DT A33999 169 45 same same JJ A33999 169 46 Arch Arch NNP A33999 169 47 ; ; : A33999 169 48 wherefore wherefore VBD A33999 169 49 if if IN A33999 169 50 with with IN A33999 169 51 the the DT A33999 169 52 Sine Sine NNP A33999 169 53 of of IN A33999 169 54 an an DT A33999 169 55 Arch Arch NNP A33999 169 56 from from IN A33999 169 57 the the DT A33999 169 58 end end NN A33999 169 59 of of IN A33999 169 60 the the DT A33999 169 61 Radius Radius NNP A33999 169 62 be be VB A33999 169 63 described describe VBN A33999 169 64 another another DT A33999 169 65 Ark Ark NNP A33999 169 66 , , , A33999 169 67 as as IN A33999 169 68 F F NNP A33999 169 69 , , , A33999 169 70 and and CC A33999 169 71 from from IN A33999 169 72 the the DT A33999 169 73 Center Center NNP A33999 169 74 or or CC A33999 169 75 other other JJ A33999 169 76 extremitie extremitie NN A33999 169 77 of of IN A33999 169 78 the the DT A33999 169 79 Radius Radius NNP A33999 169 80 , , , A33999 169 81 a a DT A33999 169 82 line line NN A33999 169 83 drawn draw VBN A33999 169 84 just just RB A33999 169 85 touching touch VBG A33999 169 86 the the DT A33999 169 87 same same JJ A33999 169 88 , , , A33999 169 89 the the DT A33999 169 90 Angle Angle NNP A33999 169 91 included include VBN A33999 169 92 between between IN A33999 169 93 the the DT A33999 169 94 said say VBN A33999 169 95 line line NN A33999 169 96 , , , A33999 169 97 and and CC A33999 169 98 the the DT A33999 169 99 Radius Radius NNP A33999 169 100 shall shall MD A33999 169 101 be be VB A33999 169 102 an an DT A33999 169 103 Ark Ark NNP A33999 169 104 equal equal JJ A33999 169 105 to to IN A33999 169 106 the the DT A33999 169 107 Ark Ark NNP A33999 169 108 belonging belong VBG A33999 169 109 to to IN A33999 169 110 the the DT A33999 169 111 said say VBN A33999 169 112 Sine Sine NNP A33999 169 113 ; ; : A33999 169 114 and and CC A33999 169 115 what what WP A33999 169 116 is be VBZ A33999 169 117 here here RB A33999 169 118 done do VBN A33999 169 119 by by IN A33999 169 120 a a DT A33999 169 121 line line NN A33999 169 122 of of IN A33999 169 123 natural natural JJ A33999 169 124 Sines Sines NNPS A33999 169 125 or or CC A33999 169 126 Tangents Tangents NNPS A33999 169 127 , , , A33999 169 128 by by IN A33999 169 129 help help NN A33999 169 130 of of IN A33999 169 131 a a DT A33999 169 132 Decimal decimal JJ A33999 169 133 line line NN A33999 169 134 of of IN A33999 169 135 equal equal JJ A33999 169 136 parts part NNS A33999 169 137 , , , A33999 169 138 equal equal JJ A33999 169 139 to to IN A33999 169 140 the the DT A33999 169 141 Radius Radius NNP A33999 169 142 ' ' '' A33999 169 143 may may MD A33999 169 144 be be VB A33999 169 145 done do VBN A33999 169 146 by by IN A33999 169 147 help help NN A33999 169 148 of of IN A33999 169 149 the the DT A33999 169 150 natural natural JJ A33999 169 151 Tables Tables NNPS A33999 169 152 without without IN A33999 169 153 them -PRON- PRP A33999 169 154 . . . A33999 170 1 Any any DT A33999 170 2 Proportion Proportion NNP A33999 170 3 relating relate VBG A33999 170 4 to to IN A33999 170 5 the the DT A33999 170 6 sixteen sixteen CD A33999 170 7 cases case NNS A33999 170 8 of of IN A33999 170 9 Sphoerical Sphoerical NNP A33999 170 10 Triangles Triangles NNPS A33999 170 11 , , , A33999 170 12 amongst amongst IN A33999 170 13 which which WDT A33999 170 14 the the DT A33999 170 15 Radius Radius NNP A33999 170 16 is be VBZ A33999 170 17 always always RB A33999 170 18 ingredient ingredient JJ A33999 170 19 , , , A33999 170 20 may may MD A33999 170 21 be be VB A33999 170 22 so so RB A33999 170 23 varyed vary VBN A33999 170 24 , , , A33999 170 25 that that IN A33999 170 26 the the DT A33999 170 27 Radius Radius NNP A33999 170 28 may may MD A33999 170 29 be be VB A33999 170 30 in in IN A33999 170 31 the the DT A33999 170 32 third third JJ A33999 170 33 place place NN A33999 170 34 , , , A33999 170 35 and and CC A33999 170 36 a a DT A33999 170 37 Tangent Tangent NNP A33999 170 38 or or CC A33999 170 39 a a DT A33999 170 40 Sine Sine NNP A33999 170 41 in in IN A33999 170 42 the the DT A33999 170 43 fourth fourth JJ A33999 170 44 place place NN A33999 170 45 , , , A33999 170 46 and and CC A33999 170 47 then then RB A33999 170 48 if if IN A33999 170 49 the the DT A33999 170 50 Ark Ark NNP A33999 170 51 belonging belong VBG A33999 170 52 to to IN A33999 170 53 the the DT A33999 170 54 fourth fourth JJ A33999 170 55 Proportional Proportional NNP A33999 170 56 be be VB A33999 170 57 known know VBN A33999 170 58 , , , A33999 170 59 an an DT A33999 170 60 Angle Angle NNP A33999 170 61 equal equal JJ A33999 170 62 thereto thereto NN A33999 170 63 may may MD A33999 170 64 be be VB A33999 170 65 prickt prickt NNS A33999 170 66 off off RP A33999 170 67 by by IN A33999 170 68 Tangents Tangents NNP A33999 170 69 or or CC A33999 170 70 Sines Sines NNPS A33999 170 71 according accord VBG A33999 170 72 to to IN A33999 170 73 the the DT A33999 170 74 nature nature NN A33999 170 75 of of IN A33999 170 76 the the DT A33999 170 77 fourth fourth JJ A33999 170 78 term term NN A33999 170 79 , , , A33999 170 80 as as IN A33999 170 81 beforth beforth NN A33999 170 82 ; ; : A33999 170 83 if if IN A33999 170 84 it -PRON- PRP A33999 170 85 be be VB A33999 170 86 unknown unknown JJ A33999 170 87 , , , A33999 170 88 notwithstanding notwithstanding IN A33999 170 89 an an DT A33999 170 90 Angle Angle NNP A33999 170 91 equal equal JJ A33999 170 92 thereto thereto NN A33999 170 93 may may MD A33999 170 94 be be VB A33999 170 95 prickt prickt NNS A33999 170 96 off off RP A33999 170 97 with with IN A33999 170 98 Sines Sines NNP A33999 170 99 or or CC A33999 170 100 Tangents Tangents NNP A33999 170 101 according accord VBG A33999 170 102 to to IN A33999 170 103 the the DT A33999 170 104 nature nature NN A33999 170 105 of of IN A33999 170 106 the the DT A33999 170 107 fourth fourth JJ A33999 170 108 term term NN A33999 170 109 , , , A33999 170 110 from from IN A33999 170 111 the the DT A33999 170 112 two two CD A33999 170 113 first first JJ A33999 170 114 terms term NNS A33999 170 115 of of IN A33999 170 116 the the DT A33999 170 117 Proportion Proportion NNP A33999 170 118 , , , A33999 170 119 because because IN A33999 170 120 they -PRON- PRP A33999 170 121 are be VBP A33999 170 122 in in IN A33999 170 123 such such JJ A33999 170 124 Proportion Proportion NNP A33999 170 125 , , , A33999 170 126 the the DT A33999 170 127 first first JJ A33999 170 128 to to IN A33999 170 129 the the DT A33999 170 130 second second JJ A33999 170 131 , , , A33999 170 132 as as IN A33999 170 133 the the DT A33999 170 134 Radius Radius NNP A33999 170 135 or or CC A33999 170 136 third third JJ A33999 170 137 term term NN A33999 170 138 is be VBZ A33999 170 139 to to IN A33999 170 140 the the DT A33999 170 141 fourth fourth JJ A33999 170 142 ; ; : A33999 170 143 upon upon IN A33999 170 144 this this DT A33999 170 145 Basis basis NN A33999 170 146 follows follow VBZ A33999 170 147 the the DT A33999 170 148 demonstration demonstration NN A33999 170 149 of of IN A33999 170 150 this this DT A33999 170 151 Scheme Scheme NNP A33999 170 152 . . . A33999 171 1 The the DT A33999 171 2 Demonstration Demonstration NNP A33999 171 3 of of IN A33999 171 4 the the DT A33999 171 5 former former JJ A33999 171 6 Scheme Scheme NNP A33999 171 7 for for IN A33999 171 8 upright upright JJ A33999 171 9 Decliners Decliners NNPS A33999 171 10 . . . A33999 172 1 1 1 LS A33999 172 2 . . . A33999 173 1 That that IN A33999 173 2 the the DT A33999 173 3 Substilar substilar JJ A33999 173 4 Line Line NNP A33999 173 5 is be VBZ A33999 173 6 true true JJ A33999 173 7 prickt prickt NNS A33999 173 8 off off RP A33999 173 9 . . . A33999 174 1 Assuming assume VBG A33999 174 2 VB VB NNP A33999 174 3 equal equal JJ A33999 174 4 to to IN A33999 174 5 VA VA NNP A33999 174 6 to to TO A33999 174 7 be be VB A33999 174 8 Radius radius NN A33999 174 9 , , , A33999 174 10 then then RB A33999 174 11 BF BF NNP A33999 174 12 becomes become VBZ A33999 174 13 the the DT A33999 174 14 Co co NN A33999 174 15 - - NN A33999 174 16 tangent tangent NN A33999 174 17 of of IN A33999 174 18 the the DT A33999 174 19 Latitude Latitude NNP A33999 174 20 , , , A33999 174 21 whereto whereto NN A33999 174 22 VO VO NNP A33999 174 23 is be VBZ A33999 174 24 made make VBN A33999 174 25 equal equal JJ A33999 174 26 , , , A33999 174 27 which which WDT A33999 174 28 becoming become VBG A33999 174 29 Radius Radius NNP A33999 174 30 , , , A33999 174 31 OC OC NNP A33999 174 32 is be VBZ A33999 174 33 the the DT A33999 174 34 Cosine Cosine NNP A33999 174 35 of of IN A33999 174 36 the the DT A33999 174 37 Declination Declination NNP A33999 174 38 , , , A33999 174 39 and and CC A33999 174 40 VC VC NNP A33999 174 41 the the DT A33999 174 42 Sine Sine NNP A33999 174 43 . . . A33999 175 1 Now now RB A33999 175 2 one one CD A33999 175 3 of of IN A33999 175 4 the the DT A33999 175 5 Proportions Proportions NNP A33999 175 6 for for IN A33999 175 7 finding find VBG A33999 175 8 the the DT A33999 175 9 Substile substile JJ A33999 175 10 distance distance NN A33999 175 11 from from IN A33999 175 12 the the DT A33999 175 13 Meridian Meridian NNP A33999 175 14 is be VBZ A33999 175 15 this this DT A33999 175 16 following follow VBG A33999 175 17 : : : A33999 175 18 As as IN A33999 175 19 the the DT A33999 175 20 Sine Sine NNP A33999 175 21 of of IN A33999 175 22 the the DT A33999 175 23 Plains Plains NNP A33999 175 24 Declination Declination NNP A33999 175 25 , , , A33999 175 26 Is be VBZ A33999 175 27 to to IN A33999 175 28 the the DT A33999 175 29 Tangent Tangent NNP A33999 175 30 of of IN A33999 175 31 the the DT A33999 175 32 Latitude Latitude NNP A33999 175 33 : : : A33999 175 34 So so RB A33999 175 35 is be VBZ A33999 175 36 the the DT A33999 175 37 Radius Radius NNP A33999 175 38 to to IN A33999 175 39 the the DT A33999 175 40 Tangent Tangent NNP A33999 175 41 of of IN A33999 175 42 the the DT A33999 175 43 Substiles Substiles NNP A33999 175 44 distance distance NN A33999 175 45 from from IN A33999 175 46 the the DT A33999 175 47 Horizontal Horizontal NNP A33999 175 48 Line Line NNP A33999 175 49 . . . A33999 176 1 From from IN A33999 176 2 whence whence NN A33999 176 3 it -PRON- PRP A33999 176 4 follows follow VBZ A33999 176 5 , , , A33999 176 6 that that IN A33999 176 7 if if IN A33999 176 8 the the DT A33999 176 9 Sine Sine NNP A33999 176 10 of of IN A33999 176 11 the the DT A33999 176 12 Declination declination NN A33999 176 13 be be VB A33999 176 14 pricked prick VBN A33999 176 15 on on IN A33999 176 16 the the DT A33999 176 17 Horizontal Horizontal NNP A33999 176 18 Line Line NNP A33999 176 19 from from IN A33999 176 20 the the DT A33999 176 21 Center Center NNP A33999 176 22 , , , A33999 176 23 as as IN A33999 176 24 VC VC NNP A33999 176 25 , , , A33999 176 26 and and CC A33999 176 27 the the DT A33999 176 28 Tangent tangent NN A33999 176 29 of of IN A33999 176 30 the the DT A33999 176 31 Latitude Latitude NNP A33999 176 32 , , , A33999 176 33 erected erect VBD A33999 176 34 perpendicularly perpendicularly JJ A33999 176 35 thereto thereto NNP A33999 176 36 , , , A33999 176 37 as as IN A33999 176 38 CI CI NNP A33999 176 39 equal equal JJ A33999 176 40 to to IN A33999 176 41 VA VA NNP A33999 176 42 , , , A33999 176 43 it -PRON- PRP A33999 176 44 shall shall MD A33999 176 45 give give VB A33999 176 46 a a DT A33999 176 47 point point NN A33999 176 48 from from IN A33999 176 49 whence whence NN A33999 176 50 a a DT A33999 176 51 Line Line NNP A33999 176 52 drawn draw VBN A33999 176 53 into into IN A33999 176 54 the the DT A33999 176 55 center center NN A33999 176 56 , , , A33999 176 57 shall shall MD A33999 176 58 be be VB A33999 176 59 the the DT A33999 176 60 Substilar Substilar NNP A33999 176 61 Line Line NNP A33999 176 62 . . . A33999 177 1 Now now RB A33999 177 2 I -PRON- PRP A33999 177 3 am be VBP A33999 177 4 to to TO A33999 177 5 prove prove VB A33999 177 6 that that IN A33999 177 7 VA VA NNP A33999 177 8 is be VBZ A33999 177 9 the the DT A33999 177 10 Tangent Tangent NNP A33999 177 11 of of IN A33999 177 12 the the DT A33999 177 13 Latitude Latitude NNP A33999 177 14 , , , A33999 177 15 thus thus RB A33999 177 16 it -PRON- PRP A33999 177 17 is be VBZ A33999 177 18 made make VBN A33999 177 19 good good JJ A33999 177 20 : : : A33999 177 21 In in IN A33999 177 22 a a DT A33999 177 23 Tangent Tangent NNP A33999 177 24 Line line NN A33999 177 25 of of IN A33999 177 26 45d 45d NNS A33999 177 27 , , , A33999 177 28 if if IN A33999 177 29 the the DT A33999 177 30 Tangent tangent NN A33999 177 31 of of IN A33999 177 32 any any DT A33999 177 33 part part NN A33999 177 34 or or CC A33999 177 35 ark ark NN A33999 177 36 of of IN A33999 177 37 it -PRON- PRP A33999 177 38 be be VB A33999 177 39 assumed assume VBN A33999 177 40 to to TO A33999 177 41 be be VB A33999 177 42 Radius Radius NNP A33999 177 43 ( ( -LRB- A33999 177 44 as as RB A33999 177 45 here here RB A33999 177 46 FB FB NNP A33999 177 47 the the DT A33999 177 48 Cotangent Cotangent NNP A33999 177 49 of of IN A33999 177 50 the the DT A33999 177 51 Latitude Latitude NNP A33999 177 52 equal equal JJ A33999 177 53 to to IN A33999 177 54 VO VO NNP A33999 177 55 , , , A33999 177 56 which which WDT A33999 177 57 before before RB A33999 177 58 was be VBD A33999 177 59 made make VBN A33999 177 60 Radius Radius NNP A33999 177 61 ) ) -RRB- A33999 177 62 then then RB A33999 177 63 doth doth VB A33999 177 64 the the DT A33999 177 65 said say VBD A33999 177 66 whole whole JJ A33999 177 67 Tangent tangent JJ A33999 177 68 line line NN A33999 177 69 ( ( -LRB- A33999 177 70 which which WDT A33999 177 71 in in IN A33999 177 72 this this DT A33999 177 73 case case NN A33999 177 74 is be VBZ A33999 177 75 any any DT A33999 177 76 side side NN A33999 177 77 of of IN A33999 177 78 the the DT A33999 177 79 Square Square NNP A33999 177 80 ) ) -RRB- A33999 177 81 become become VBP A33999 177 82 the the DT A33999 177 83 Tangent Tangent NNP A33999 177 84 of of IN A33999 177 85 that that DT A33999 177 86 arks arks NNP A33999 177 87 complement complement NN A33999 177 88 : : : A33999 177 89 thus thus RB A33999 177 90 , , , A33999 177 91 VA VA NNP A33999 177 92 becomes become VBZ A33999 177 93 the the DT A33999 177 94 Tangent Tangent NNP A33999 177 95 of of IN A33999 177 96 the the DT A33999 177 97 Latitude Latitude NNP A33999 177 98 , , , A33999 177 99 because because IN A33999 177 100 the the DT A33999 177 101 Radius Radius NNP A33999 177 102 is be VBZ A33999 177 103 a a DT A33999 177 104 mean mean NN A33999 177 105 Proportional Proportional NNP A33999 177 106 between between IN A33999 177 107 the the DT A33999 177 108 Tangent Tangent NNP A33999 177 109 of of IN A33999 177 110 an an DT A33999 177 111 Ark Ark NNP A33999 177 112 , , , A33999 177 113 and and CC A33999 177 114 the the DT A33999 177 115 Tangent Tangent NNP A33999 177 116 of of IN A33999 177 117 that that DT A33999 177 118 Arks Arks NNP A33999 177 119 complement complement NN A33999 177 120 ; ; : A33999 177 121 For for CC A33999 177 122 , , , A33999 177 123 As as IN A33999 177 124 the the DT A33999 177 125 Cotangent Cotangent NNP A33999 177 126 of of IN A33999 177 127 the the DT A33999 177 128 Latitude Latitude NNP A33999 177 129 BF BF NNP A33999 177 130 , , , A33999 177 131 Is be VBZ A33999 177 132 to to IN A33999 177 133 the the DT A33999 177 134 Radius Radius NNP A33999 177 135 BG BG NNP A33999 177 136 , , , A33999 177 137 So so RB A33999 177 138 is be VBZ A33999 177 139 the the DT A33999 177 140 Radius Radius NNP A33999 177 141 BF BF NNP A33999 177 142 , , , A33999 177 143 to to IN A33999 177 144 the the DT A33999 177 145 Tangent Tangent NNP A33999 177 146 of of IN A33999 177 147 the the DT A33999 177 148 Latitude Latitude NNP A33999 177 149 BG BG NNP A33999 177 150 , , , A33999 177 151 there there EX A33999 177 152 being be VBG A33999 177 153 the the DT A33999 177 154 like like JJ A33999 177 155 Proportion proportion NN A33999 177 156 between between IN A33999 177 157 the the DT A33999 177 158 two two CD A33999 177 159 latter latter JJ A33999 177 160 , , , A33999 177 161 as as IN A33999 177 162 the the DT A33999 177 163 two two CD A33999 177 164 former former JJ A33999 177 165 terms term NNS A33999 177 166 . . . A33999 178 1 2 2 LS A33999 178 2 . . . A33999 179 1 That that IN A33999 179 2 the the DT A33999 179 3 Stiles Stiles NNPS A33999 179 4 Height Height NNP A33999 179 5 is be VBZ A33999 179 6 true true JJ A33999 179 7 prickt prickt NNS A33999 179 8 off off RP A33999 179 9 . . . A33999 180 1 To to TO A33999 180 2 perform perform VB A33999 180 3 this this DT A33999 180 4 , , , A33999 180 5 the the DT A33999 180 6 Cosine Cosine NNP A33999 180 7 of of IN A33999 180 8 the the DT A33999 180 9 Declination Declination NNP A33999 180 10 OC OC NNP A33999 180 11 , , , A33999 180 12 to to IN A33999 180 13 that that DT A33999 180 14 lesser less JJR A33999 180 15 Radius Radius NNP A33999 180 16 , , , A33999 180 17 was be VBD A33999 180 18 erected erect VBN A33999 180 19 perpendicularly perpendicularly RB A33999 180 20 from from IN A33999 180 21 the the DT A33999 180 22 point point NN A33999 180 23 I -PRON- PRP A33999 180 24 , , , A33999 180 25 in in IN A33999 180 26 the the DT A33999 180 27 Substilar Substilar NNP A33999 180 28 〈 〈 NNPS A33999 180 29 ◊ ◊ NNP A33999 180 30 〉 〉 NNP A33999 180 31 , , , A33999 180 32 and and CC A33999 180 33 IK IK NNP A33999 180 34 made make VBD A33999 180 35 equal equal JJ A33999 180 36 thereto thereto NN A33999 180 37 . . . A33999 181 1 Now now RB A33999 181 2 one one CD A33999 181 3 of of IN A33999 181 4 the the DT A33999 181 5 Proportions Proportions NNPS A33999 181 6 for for IN A33999 181 7 calculating calculate VBG A33999 181 8 the the DT A33999 181 9 Stiles Stiles NNP A33999 181 10 height height NN A33999 181 11 is be VBZ A33999 181 12 : : : A33999 181 13 As as IN A33999 181 14 the the DT A33999 181 15 Secant secant NN A33999 181 16 of of IN A33999 181 17 the the DT A33999 181 18 Latitude Latitude NNP A33999 181 19 , , , A33999 181 20 Is be VBZ A33999 181 21 to to IN A33999 181 22 the the DT A33999 181 23 Cosine Cosine NNP A33999 181 24 of of IN A33999 181 25 the the DT A33999 181 26 Declination Declination NNP A33999 181 27 : : : A33999 181 28 So so RB A33999 181 29 is be VBZ A33999 181 30 the the DT A33999 181 31 Radius Radius NNP A33999 181 32 , , , A33999 181 33 To to IN A33999 181 34 the the DT A33999 181 35 Sine Sine NNP A33999 181 36 of of IN A33999 181 37 the the DT A33999 181 38 Stiles Stiles NNPS A33999 181 39 Height Height NNP A33999 181 40 . . . A33999 182 1 Consequently consequently RB A33999 182 2 the the DT A33999 182 3 Stiles Stiles NNP A33999 182 4 height height NN A33999 182 5 may may MD A33999 182 6 be be VB A33999 182 7 prickt prickt NNS A33999 182 8 off off RP A33999 182 9 from from IN A33999 182 10 the the DT A33999 182 11 two two CD A33999 182 12 first first JJ A33999 182 13 terms term NNS A33999 182 14 of of IN A33999 182 15 the the DT A33999 182 16 Proportion Proportion NNP A33999 182 17 , , , A33999 182 18 if if IN A33999 182 19 it -PRON- PRP A33999 182 20 can can MD A33999 182 21 be be VB A33999 182 22 proved prove VBN A33999 182 23 that that IN A33999 182 24 VK VK NNP A33999 182 25 is be VBZ A33999 182 26 the the DT A33999 182 27 Secant Secant NNP A33999 182 28 of of IN A33999 182 29 the the DT A33999 182 30 Latitude Latitude NNP A33999 182 31 ; ; : A33999 182 32 here here RB A33999 182 33 let let VB A33999 182 34 it -PRON- PRP A33999 182 35 be be VB A33999 182 36 remembred remembre VBN A33999 182 37 that that IN A33999 182 38 VP VP NNP A33999 182 39 is be VBZ A33999 182 40 the the DT A33999 182 41 Tangent Tangent NNP A33999 182 42 of of IN A33999 182 43 the the DT A33999 182 44 Latitude Latitude NNP A33999 182 45 , , , A33999 182 46 IP IP NNP A33999 182 47 the the DT A33999 182 48 Sine Sine NNP A33999 182 49 of of IN A33999 182 50 the the DT A33999 182 51 Declination Declination NNP A33999 182 52 , , , A33999 182 53 and and CC A33999 182 54 IK IK NNP A33999 182 55 the the DT A33999 182 56 Cosine Cosine NNP A33999 182 57 . . . A33999 183 1 By by IN A33999 183 2 construction construction NN A33999 183 3 the the DT A33999 183 4 Angles Angles NNP A33999 183 5 VPI VPI NNP A33999 183 6 and and CC A33999 183 7 VIK VIK NNP A33999 183 8 are be VBP A33999 183 9 right right JJ A33999 183 10 Angles Angles NNPS A33999 183 11 , , , A33999 183 12 therefore therefore RB A33999 183 13 the the DT A33999 183 14 square square NN A33999 183 15 of of IN A33999 183 16 VI VI NNP A33999 183 17 is be VBZ A33999 183 18 equal equal JJ A33999 183 19 to to IN A33999 183 20 the the DT A33999 183 21 two two CD A33999 183 22 squares square NNS A33999 183 23 of of IN A33999 183 24 VP VP NNP A33999 183 25 , , , A33999 183 26 and and CC A33999 183 27 IP IP NNP A33999 183 28 by by IN A33999 183 29 47 47 CD A33999 183 30 Prop Prop NNP A33999 183 31 . . . A33999 184 1 1 1 CD A33999 184 2 Euclid Euclid NNP A33999 184 3 ; ; : A33999 184 4 again again RB A33999 184 5 the the DT A33999 184 6 square square NN A33999 184 7 of of IN A33999 184 8 VK VK NNP A33999 184 9 is be VBZ A33999 184 10 equal equal JJ A33999 184 11 to to IN A33999 184 12 the the DT A33999 184 13 two two CD A33999 184 14 squares square NNS A33999 184 15 of of IN A33999 184 16 IK IK NNP A33999 184 17 and and CC A33999 184 18 IV IV NNP A33999 184 19 , , , A33999 184 20 wherefore wherefore VBD A33999 184 21 the the DT A33999 184 22 square square NN A33999 184 23 of of IN A33999 184 24 VK VK NNP A33999 184 25 is be VBZ A33999 184 26 equal equal JJ A33999 184 27 to to IN A33999 184 28 the the DT A33999 184 29 sum sum NN A33999 184 30 of of IN A33999 184 31 the the DT A33999 184 32 three three CD A33999 184 33 squares square NNS A33999 184 34 of of IN A33999 184 35 IK IK NNP A33999 184 36 , , , A33999 184 37 IP IP NNP A33999 184 38 and and CC A33999 184 39 VP VP NNP A33999 184 40 ; ; : A33999 184 41 but but CC A33999 184 42 the the DT A33999 184 43 squares square NNS A33999 184 44 of of IN A33999 184 45 PI PI NNP A33999 184 46 a a DT A33999 184 47 Sine Sine NNP A33999 184 48 , , , A33999 184 49 and and CC A33999 184 50 IK IK NNP A33999 184 51 its -PRON- PRP$ A33999 184 52 Cosine Cosine NNP A33999 184 53 are be VBP A33999 184 54 equal equal JJ A33999 184 55 to to IN A33999 184 56 the the DT A33999 184 57 square square NN A33999 184 58 of of IN A33999 184 59 the the DT A33999 184 60 Radius Radius NNP A33999 184 61 . . . A33999 185 1 But but CC A33999 185 2 the the DT A33999 185 3 square square NN A33999 185 4 of of IN A33999 185 5 the the DT A33999 185 6 Radius Radius NNP A33999 185 7 , , , A33999 185 8 and and CC A33999 185 9 the the DT A33999 185 10 square square NN A33999 185 11 of of IN A33999 185 12 VP VP NNP A33999 185 13 , , , A33999 185 14 the the DT A33999 185 15 Tangent Tangent NNP A33999 185 16 of of IN A33999 185 17 the the DT A33999 185 18 Latitude Latitude NNP A33999 185 19 , , , A33999 185 20 is be VBZ A33999 185 21 equal equal JJ A33999 185 22 to to IN A33999 185 23 the the DT A33999 185 24 square square NN A33999 185 25 of of IN A33999 185 26 VK VK NNP A33999 185 27 , , , A33999 185 28 therefore therefore RB A33999 185 29 VK VK NNP A33999 185 30 is be VBZ A33999 185 31 the the DT A33999 185 32 Secant Secant NNP A33999 185 33 of of IN A33999 185 34 the the DT A33999 185 35 Latitude Latitude NNP A33999 185 36 , , , A33999 185 37 because because IN A33999 185 38 the the DT A33999 185 39 square square NN A33999 185 40 of of IN A33999 185 41 the the DT A33999 185 42 Radius Radius NNP A33999 185 43 , , , A33999 185 44 more more JJR A33999 185 45 the the DT A33999 185 46 square square NN A33999 185 47 of of IN A33999 185 48 the the DT A33999 185 49 Tangent Tangent NNP A33999 185 50 of of IN A33999 185 51 any any DT A33999 185 52 Ark Ark NNP A33999 185 53 , , , A33999 185 54 is be VBZ A33999 185 55 equal equal JJ A33999 185 56 to to IN A33999 185 57 the the DT A33999 185 58 square square NN A33999 185 59 of of IN A33999 185 60 the the DT A33999 185 61 Secant Secant NNP A33999 185 62 of of IN A33999 185 63 the the DT A33999 185 64 said say VBD A33999 185 65 Ark Ark NNP A33999 185 66 . . . A33999 186 1 3 3 LS A33999 186 2 . . . A33999 187 1 That that DT A33999 187 2 VK VK NNP A33999 187 3 is be VBZ A33999 187 4 equal equal JJ A33999 187 5 to to IN A33999 187 6 VF VF NNP A33999 187 7 . . . A33999 188 1 Let let VB A33999 188 2 VF VF NNP A33999 188 3 be be VB A33999 188 4 an an DT A33999 188 5 assumed assumed JJ A33999 188 6 Radius Radius NNP A33999 188 7 , , , A33999 188 8 so so RB A33999 188 9 will will MD A33999 188 10 FB FB NNP A33999 188 11 be be VB A33999 188 12 the the DT A33999 188 13 Cosine Cosine NNP A33999 188 14 of of IN A33999 188 15 the the DT A33999 188 16 Latitude Latitude NNP A33999 188 17 . . . A33999 189 1 Again again RB A33999 189 2 observe observe VBP A33999 189 3 that that IN A33999 189 4 in in IN A33999 189 5 any any DT A33999 189 6 line line NN A33999 189 7 of of IN A33999 189 8 Sines Sines NNP A33999 189 9 if if IN A33999 189 10 the the DT A33999 189 11 Sine Sine NNP A33999 189 12 of of IN A33999 189 13 any any DT A33999 189 14 Ark Ark NNP A33999 189 15 be be VB A33999 189 16 made make VBN A33999 189 17 Radius Radius NNP A33999 189 18 , , , A33999 189 19 the the DT A33999 189 20 whole whole JJ A33999 189 21 line line NN A33999 189 22 becomes become VBZ A33999 189 23 the the DT A33999 189 24 Secant secant NN A33999 189 25 of of IN A33999 189 26 that that DT A33999 189 27 Arks Arks NNP A33999 189 28 complement complement NN A33999 189 29 , , , A33999 189 30 so so CC A33999 189 31 here here RB A33999 189 32 VK VK NNP A33999 189 33 being be VBG A33999 189 34 the the DT A33999 189 35 Secant Secant NNP A33999 189 36 of of IN A33999 189 37 the the DT A33999 189 38 Latitude Latitude NNP A33999 189 39 is be VBZ A33999 189 40 equal equal JJ A33999 189 41 to to IN A33999 189 42 VF VF NNP A33999 189 43 the the DT A33999 189 44 Radius Radius NNP A33999 189 45 , , , A33999 189 46 for for IN A33999 189 47 let let VBN A33999 189 48 VT VT NNP A33999 189 49 be be VB A33999 189 50 made make VBN A33999 189 51 equal equal JJ A33999 189 52 to to IN A33999 189 53 VF VF NNP A33999 189 54 , , , A33999 189 55 I -PRON- PRP A33999 189 56 say say VBP A33999 189 57 it -PRON- PRP A33999 189 58 holds hold VBZ A33999 189 59 as as IN A33999 189 60 VO VO NNP A33999 189 61 the the DT A33999 189 62 Cosine Cosine NNP A33999 189 63 of of IN A33999 189 64 the the DT A33999 189 65 Latitude Latitude NNP A33999 189 66 , , , A33999 189 67 is be VBZ A33999 189 68 to to IN A33999 189 69 the the DT A33999 189 70 Radius Radius NNP A33999 189 71 VT VT NNP A33999 189 72 , , , A33999 189 73 so so RB A33999 189 74 is be VBZ A33999 189 75 VO VO NNP A33999 189 76 the the DT A33999 189 77 Radius Radius NNP A33999 189 78 to to IN A33999 189 79 VT VT NNP A33999 189 80 the the DT A33999 189 81 Secant secant NN A33999 189 82 of of IN A33999 189 83 the the DT A33999 189 84 Latitude Latitude NNP A33999 189 85 , , , A33999 189 86 which which WDT A33999 189 87 is be VBZ A33999 189 88 therefore therefore RB A33999 189 89 equal equal JJ A33999 189 90 to to IN A33999 189 91 VK VK NNP A33999 189 92 . . . A33999 190 1 Whence whence IN A33999 190 2 the the DT A33999 190 3 trouble trouble NN A33999 190 4 of of IN A33999 190 5 raising raise VBG A33999 190 6 a a DT A33999 190 7 perpendicular perpendicular NN A33999 190 8 in in IN A33999 190 9 this this DT A33999 190 10 Scheme Scheme NNP A33999 190 11 , , , A33999 190 12 because because IN A33999 190 13 the the DT A33999 190 14 side side NN A33999 190 15 of of IN A33999 190 16 the the DT A33999 190 17 square square JJ A33999 190 18 passeth passeth NN A33999 190 19 through through IN A33999 190 20 the the DT A33999 190 21 complement complement NN A33999 190 22 of of IN A33999 190 23 the the DT A33999 190 24 Latitude Latitude NNP A33999 190 25 , , , A33999 190 26 is be VBZ A33999 190 27 shunned shun VBN A33999 190 28 the the DT A33999 190 29 point point NN A33999 190 30 K K NNP A33999 190 31 falling fall VBG A33999 190 32 in in IN A33999 190 33 the the DT A33999 190 34 outward outward JJ A33999 190 35 circumference circumference NN A33999 190 36 . . . A33999 191 1 Lastly lastly RB A33999 191 2 , , , A33999 191 3 from from IN A33999 191 4 all all PDT A33999 191 5 this this DT A33999 191 6 it -PRON- PRP A33999 191 7 unavoidably unavoidably RB A33999 191 8 follows follow VBZ A33999 191 9 that that IN A33999 191 10 VI VI NNP A33999 191 11 is be VBZ A33999 191 12 the the DT A33999 191 13 Cosine Cosine NNP A33999 191 14 , , , A33999 191 15 and and CC A33999 191 16 IK IK NNP A33999 191 17 the the DT A33999 191 18 Sine Sine NNP A33999 191 19 of of IN A33999 191 20 the the DT A33999 191 21 Stiles Stiles NNP A33999 191 22 height height NN A33999 191 23 to to IN A33999 191 24 the the DT A33999 191 25 Radius Radius NNP A33999 191 26 VF VF NNP A33999 191 27 , , , A33999 191 28 which which WDT A33999 191 29 was be VBD A33999 191 30 to to TO A33999 191 31 be be VB A33999 191 32 proved prove VBN A33999 191 33 . . . A33999 192 1 An an DT A33999 192 2 upright upright JJ A33999 192 3 South South NNP A33999 192 4 Dyal Dyal NNP A33999 192 5 , , , A33999 192 6 Declining decline VBG A33999 192 7 30 30 CD A33999 192 8 degrees degree NNS A33999 192 9 Eastwards eastward NNS A33999 192 10 , , , A33999 192 11 Latitude Latitude NNP A33999 192 12 51 51 CD A33999 192 13 degrees degree NNS A33999 192 14 , , , A33999 192 15 32 32 CD A33999 192 16 minutes minute NNS A33999 192 17 . . . A33999 193 1 To to TO A33999 193 2 draw draw VB A33999 193 3 the the DT A33999 193 4 hour hour NN A33999 193 5 Lines line NNS A33999 193 6 of of IN A33999 193 7 the the DT A33999 193 8 former former JJ A33999 193 9 upright upright JJ A33999 193 10 Decliner Decliner NNP A33999 193 11 . . . A33999 194 1 First first RB A33999 194 2 draw draw VB A33999 194 3 the the DT A33999 194 4 Plains Plains NNPS A33999 194 5 perpendicular perpendicular JJ A33999 194 6 CO CO NNP A33999 194 7 , , , A33999 194 8 which which WDT A33999 194 9 for for IN A33999 194 10 upright upright JJ A33999 194 11 Plains Plains NNPS A33999 194 12 is be VBZ A33999 194 13 the the DT A33999 194 14 Meridian meridian JJ A33999 194 15 line line NN A33999 194 16 , , , A33999 194 17 and and CC A33999 194 18 with with IN A33999 194 19 the the DT A33999 194 20 Radius Radius NNP A33999 194 21 VF VF NNP A33999 194 22 of of IN A33999 194 23 the the DT A33999 194 24 former former JJ A33999 194 25 Scheme Scheme NNP A33999 194 26 , , , A33999 194 27 draw draw VB A33999 194 28 an an DT A33999 194 29 occult occult NN A33999 194 30 Ark Ark NNP A33999 194 31 upon upon IN A33999 194 32 C C NNP A33999 194 33 as as IN A33999 194 34 a a DT A33999 194 35 center center NN A33999 194 36 , , , A33999 194 37 and and CC A33999 194 38 therein therein RB A33999 194 39 set set VBN A33999 194 40 off off RP A33999 194 41 NV NV NNP A33999 194 42 equal equal JJ A33999 194 43 to to IN A33999 194 44 TN TN NNP A33999 194 45 of of IN A33999 194 46 the the DT A33999 194 47 former former JJ A33999 194 48 Scheme Scheme NNP A33999 194 49 , , , A33999 194 50 and and CC A33999 194 51 draw draw VB A33999 194 52 the the DT A33999 194 53 line line NN A33999 194 54 IVC IVC NNP A33999 194 55 for for IN A33999 194 56 the the DT A33999 194 57 substile substile NN A33999 194 58 , , , A33999 194 59 and and CC A33999 194 60 with with IN A33999 194 61 the the DT A33999 194 62 Radius Radius NNP A33999 194 63 VC VC NNP A33999 194 64 describe describe VB A33999 194 65 a a DT A33999 194 66 circle circle NN A33999 194 67 thereon thereon NN A33999 194 68 . . . A33999 195 1 1 1 LS A33999 195 2 . . . A33999 196 1 The the DT A33999 196 2 first first JJ A33999 196 3 work work NN A33999 196 4 will will MD A33999 196 5 be be VB A33999 196 6 to to TO A33999 196 7 finde finde VB A33999 196 8 the the DT A33999 196 9 Regulating Regulating NNP A33999 196 10 Point Point NNP A33999 196 11 in in IN A33999 196 12 the the DT A33999 196 13 Substile Substile NNP A33999 196 14 , , , A33999 196 15 called call VBD A33999 196 16 the the DT A33999 196 17 Point Point NNP A33999 196 18 Sol Sol NNP A33999 196 19 . . . A33999 197 1 Prick prick VB A33999 197 2 the the DT A33999 197 3 Radius Radius NNP A33999 197 4 of of IN A33999 197 5 the the DT A33999 197 6 said say VBD A33999 197 7 Circle Circle NNP A33999 197 8 from from IN A33999 197 9 I -PRON- PRP A33999 197 10 to to IN A33999 197 11 P p NN A33999 197 12 , , , A33999 197 13 and and CC A33999 197 14 from from IN A33999 197 15 C C NNP A33999 197 16 to to IN A33999 197 17 Q Q NNP A33999 197 18 , , , A33999 197 19 and and CC A33999 197 20 draw draw VB A33999 197 21 the the DT A33999 197 22 Line Line NNP A33999 197 23 IP IP NNP A33999 197 24 , , , A33999 197 25 and and CC A33999 197 26 therein therein RB A33999 197 27 make make VB A33999 197 28 IK ik NN A33999 197 29 equal equal JJ A33999 197 30 to to IN A33999 197 31 IK IK NNP A33999 197 32 in in IN A33999 197 33 the the DT A33999 197 34 former former JJ A33999 197 35 Scheme Scheme NNP A33999 197 36 , , , A33999 197 37 then then RB A33999 197 38 a a DT A33999 197 39 ruler ruler NN A33999 197 40 said say VBD A33999 197 41 from from IN A33999 197 42 K K NNP A33999 197 43 to to IN A33999 197 44 Q Q NNP A33999 197 45 , , , A33999 197 46 where where WRB A33999 197 47 it -PRON- PRP A33999 197 48 intersects intersect VBZ A33999 197 49 the the DT A33999 197 50 Substilar Substilar NNP A33999 197 51 is be VBZ A33999 197 52 the the DT A33999 197 53 Regulating Regulating NNP A33999 197 54 Point Point NNP A33999 197 55 ☉ ☉ NNP A33999 197 56 . . . A33999 198 1 2 2 LS A33999 198 2 . . . A33999 199 1 To to TO A33999 199 2 finde finde NNP A33999 199 3 a a DT A33999 199 4 Point point NN A33999 199 5 from from IN A33999 199 6 whence whence NN A33999 199 7 the the DT A33999 199 8 Circle Circle NNP A33999 199 9 is be VBZ A33999 199 10 to to TO A33999 199 11 be be VB A33999 199 12 divided divide VBN A33999 199 13 into into IN A33999 199 14 12 12 CD A33999 199 15 equal equal JJ A33999 199 16 parts part NNS A33999 199 17 . . . A33999 200 1 Lay Lay NNP A33999 200 2 a a DT A33999 200 3 Ruler ruler NN A33999 200 4 from from IN A33999 200 5 O o NN A33999 200 6 to to IN A33999 200 7 the the DT A33999 200 8 point point NN A33999 200 9 ☉ ☉ NNS A33999 200 10 , , , A33999 200 11 and and CC A33999 200 12 it -PRON- PRP A33999 200 13 intersects intersect VBZ A33999 200 14 the the DT A33999 200 15 Circle Circle NNP A33999 200 16 on on IN A33999 200 17 the the DT A33999 200 18 Opposite opposite JJ A33999 200 19 side side NN A33999 200 20 , , , A33999 200 21 at at IN A33999 200 22 it -PRON- PRP A33999 200 23 set set VBD A33999 200 24 M. M. NNP A33999 200 25 3 3 CD A33999 200 26 . . . A33999 201 1 To to TO A33999 201 2 divide divide VB A33999 201 3 the the DT A33999 201 4 Circle Circle NNP A33999 201 5 . . . A33999 202 1 From from IN A33999 202 2 the the DT A33999 202 3 point point NN A33999 202 4 M m NN A33999 202 5 before before IN A33999 202 6 found find VBN A33999 202 7 , , , A33999 202 8 lay lay VB A33999 202 9 a a DT A33999 202 10 ruler ruler NN A33999 202 11 through through IN A33999 202 12 the the DT A33999 202 13 Center Center NNP A33999 202 14 V V NNP A33999 202 15 , , , A33999 202 16 and and CC A33999 202 17 it -PRON- PRP A33999 202 18 will will MD A33999 202 19 finde finde VB A33999 202 20 a a DT A33999 202 21 Point Point NNP A33999 202 22 on on IN A33999 202 23 the the DT A33999 202 24 other other JJ A33999 202 25 side side NN A33999 202 26 the the DT A33999 202 27 circle circle NN A33999 202 28 , , , A33999 202 29 at at IN A33999 202 30 it -PRON- PRP A33999 202 31 set set VBD A33999 202 32 f f NNP A33999 202 33 , , , A33999 202 34 the the DT A33999 202 35 points point NNS A33999 202 36 Mf Mf NNP A33999 202 37 divide divide VBP A33999 202 38 the the DT A33999 202 39 Circle Circle NNP A33999 202 40 into into IN A33999 202 41 halfs halfs NNP A33999 202 42 , , , A33999 202 43 and and CC A33999 202 44 each each DT A33999 202 45 half half NN A33999 202 46 is be VBZ A33999 202 47 to to TO A33999 202 48 be be VB A33999 202 49 divided divide VBN A33999 202 50 into into IN A33999 202 51 six six CD A33999 202 52 parts part NNS A33999 202 53 , , , A33999 202 54 the the DT A33999 202 55 Radius Radius NNP A33999 202 56 VM VM NNP A33999 202 57 will will MD A33999 202 58 easily easily RB A33999 202 59 divide divide VB A33999 202 60 each each DT A33999 202 61 half half NN A33999 202 62 into into IN A33999 202 63 three three CD A33999 202 64 parts part NNS A33999 202 65 , , , A33999 202 66 and and CC A33999 202 67 then then RB A33999 202 68 it -PRON- PRP A33999 202 69 will will MD A33999 202 70 be be VB A33999 202 71 easie easie VBN A33999 202 72 to to TO A33999 202 73 divide divide VB A33999 202 74 each each DT A33999 202 75 of of IN A33999 202 76 those those DT A33999 202 77 parts part NNS A33999 202 78 into into IN A33999 202 79 halfs halfs NNP A33999 202 80 , , , A33999 202 81 and and CC A33999 202 82 so so RB A33999 202 83 the the DT A33999 202 84 whole whole JJ A33999 202 85 Circle circle NN A33999 202 86 will will MD A33999 202 87 be be VB A33999 202 88 divided divide VBN A33999 202 89 into into IN A33999 202 90 12 12 CD A33999 202 91 equal equal JJ A33999 202 92 parts part NNS A33999 202 93 , , , A33999 202 94 and and CC A33999 202 95 if if IN A33999 202 96 it -PRON- PRP A33999 202 97 be be VB A33999 202 98 desired desire VBN A33999 202 99 to to IN A33999 202 100 inscribe inscribe VB A33999 202 101 the the DT A33999 202 102 half half NN A33999 202 103 hours hour NNS A33999 202 104 and and CC A33999 202 105 quarters quarter NNS A33999 202 106 , , , A33999 202 107 then then RB A33999 202 108 must must MD A33999 202 109 each each DT A33999 202 110 of of IN A33999 202 111 those those DT A33999 202 112 parts part NNS A33999 202 113 be be VB A33999 202 114 divided divide VBN A33999 202 115 into into IN A33999 202 116 halfs halfs NNP A33999 202 117 and and CC A33999 202 118 quarters quarter NNS A33999 202 119 . . . A33999 203 1 Having have VBG A33999 203 2 thus thus RB A33999 203 3 divided divide VBN A33999 203 4 the the DT A33999 203 5 Circle Circle NNP A33999 203 6 into into IN A33999 203 7 12 12 CD A33999 203 8 parts part NNS A33999 203 9 , , , A33999 203 10 distinguish distinguish VB A33999 203 11 them -PRON- PRP A33999 203 12 with with IN A33999 203 13 the the DT A33999 203 14 Letters Letters NNPS A33999 203 15 of of IN A33999 203 16 the the DT A33999 203 17 Alphabet Alphabet NNP A33999 203 18 . . . A33999 204 1 4 4 LS A33999 204 2 . . . A33999 205 1 To to TO A33999 205 2 draw draw VB A33999 205 3 the the DT A33999 205 4 hour hour NN A33999 205 5 lines line NNS A33999 205 6 , , , A33999 205 7 and and CC A33999 205 8 to to TO A33999 205 9 number number VB A33999 205 10 them -PRON- PRP A33999 205 11 . . . A33999 206 1 Lay Lay NNP A33999 206 2 a a DT A33999 206 3 Ruler ruler NN A33999 206 4 to to IN A33999 206 5 each each DT A33999 206 6 of of IN A33999 206 7 those those DT A33999 206 8 Letter Letter NNP A33999 206 9 divisions division NNS A33999 206 10 , , , A33999 206 11 and and CC A33999 206 12 upon upon IN A33999 206 13 the the DT A33999 206 14 Regulating Regulating NNP A33999 206 15 Point Point NNP A33999 206 16 ☉ ☉ VBZ A33999 206 17 in in IN A33999 206 18 the the DT A33999 206 19 Substile Substile NNP A33999 206 20 , , , A33999 206 21 and and CC A33999 206 22 it -PRON- PRP A33999 206 23 will will MD A33999 206 24 finde finde VB A33999 206 25 points point NNS A33999 206 26 on on IN A33999 206 27 the the DT A33999 206 28 Opposite opposite JJ A33999 206 29 side side NN A33999 206 30 of of IN A33999 206 31 the the DT A33999 206 32 Circle Circle NNP A33999 206 33 from from IN A33999 206 34 which which WDT A33999 206 35 if if IN A33999 206 36 lines line NNS A33999 206 37 be be VBP A33999 206 38 drawn draw VBN A33999 206 39 into into IN A33999 206 40 the the DT A33999 206 41 Center Center NNP A33999 206 42 at at IN A33999 206 43 C C NNP A33999 206 44 ' ' '' A33999 206 45 they -PRON- PRP A33999 206 46 shall shall MD A33999 206 47 be be VB A33999 206 48 the the DT A33999 206 49 hour hour NN A33999 206 50 lines line NNS A33999 206 51 required require VBN A33999 206 52 . . . A33999 207 1 5 5 CD A33999 207 2 . . . A33999 208 1 An an DT A33999 208 2 inconvenience inconvenience NN A33999 208 3 shunned shun VBD A33999 208 4 . . . A33999 209 1 When when WRB A33999 209 2 the the DT A33999 209 3 points point NNS A33999 209 4 through through IN A33999 209 5 which which WDT A33999 209 6 the the DT A33999 209 7 hour hour NN A33999 209 8 lines line NNS A33999 209 9 are be VBP A33999 209 10 to to TO A33999 209 11 be be VB A33999 209 12 drawn draw VBN A33999 209 13 , , , A33999 209 14 fall fall VB A33999 209 15 near near IN A33999 209 16 the the DT A33999 209 17 Center Center NNP A33999 209 18 , , , A33999 209 19 the the DT A33999 209 20 hour hour NN A33999 209 21 lines line NNS A33999 209 22 can can MD A33999 209 23 not not RB A33999 209 24 be be VB A33999 209 25 drawn draw VBN A33999 209 26 from from IN A33999 209 27 the the DT A33999 209 28 said say VBN A33999 209 29 points point NNS A33999 209 30 with with IN A33999 209 31 certainty certainty NN A33999 209 32 . . . A33999 210 1 In in IN A33999 210 2 this this DT A33999 210 3 case case NN A33999 210 4 let let VBD A33999 210 5 any any DT A33999 210 6 hour hour NN A33999 210 7 line line NN A33999 210 8 near near IN A33999 210 9 the the DT A33999 210 10 said say VBN A33999 210 11 point point NN A33999 210 12 be be VB A33999 210 13 produced produce VBN A33999 210 14 , , , A33999 210 15 if if IN A33999 210 16 need need NN A33999 210 17 require require VB A33999 210 18 , , , A33999 210 19 and and CC A33999 210 20 upon upon IN A33999 210 21 C C NNP A33999 210 22 as as IN A33999 210 23 a a DT A33999 210 24 Center Center NNP A33999 210 25 with with IN A33999 210 26 the the DT A33999 210 27 Radius Radius NNP A33999 210 28 CV CV NNP A33999 210 29 describe describe VB A33999 210 30 the the DT A33999 210 31 Ark Ark NNP A33999 210 32 of of IN A33999 210 33 a a DT A33999 210 34 Circle Circle NNP A33999 210 35 from from IN A33999 210 36 the the DT A33999 210 37 produced produce VBN A33999 210 38 hour hour NN A33999 210 39 - - HYPH A33999 210 40 line line NN A33999 210 41 , , , A33999 210 42 take take VB A33999 210 43 half half PDT A33999 210 44 the the DT A33999 210 45 distance distance NN A33999 210 46 between between IN A33999 210 47 the the DT A33999 210 48 point point NN A33999 210 49 , , , A33999 210 50 where where WRB A33999 210 51 the the DT A33999 210 52 produced produce VBN A33999 210 53 hour hour NN A33999 210 54 line line NN A33999 210 55 , , , A33999 210 56 cuts cut VBZ A33999 210 57 the the DT A33999 210 58 Circle Circle NNP A33999 210 59 , , , A33999 210 60 and and CC A33999 210 61 the the DT A33999 210 62 point point NN A33999 210 63 through through IN A33999 210 64 which which WDT A33999 210 65 the the DT A33999 210 66 hour hour NN A33999 210 67 line line NN A33999 210 68 proposed propose VBN A33999 210 69 is be VBZ A33999 210 70 to to TO A33999 210 71 be be VB A33999 210 72 drawn draw VBN A33999 210 73 , , , A33999 210 74 and and CC A33999 210 75 prick prick VB A33999 210 76 that that DT A33999 210 77 extent extent NN A33999 210 78 off off RP A33999 210 79 in in IN A33999 210 80 the the DT A33999 210 81 Arch Arch NNP A33999 210 82 swept swept NN A33999 210 83 , , , A33999 210 84 setting set VBG A33999 210 85 one one CD A33999 210 86 foot foot NN A33999 210 87 where where WRB A33999 210 88 the the DT A33999 210 89 Arch Arch NNP A33999 210 90 swept sweep VBD A33999 210 91 cuts cut VBZ A33999 210 92 the the DT A33999 210 93 hour hour NN A33999 210 94 line line NN A33999 210 95 already already RB A33999 210 96 drawn draw VBN A33999 210 97 , , , A33999 210 98 from from IN A33999 210 99 whence whence NN A33999 210 100 half half PDT A33999 210 101 the the DT A33999 210 102 distance distance NN A33999 210 103 was be VBD A33999 210 104 measured measure VBN A33999 210 105 , , , A33999 210 106 and and CC A33999 210 107 the the DT A33999 210 108 other other JJ A33999 210 109 foot foot NN A33999 210 110 will will MD A33999 210 111 finde finde VB A33999 210 112 a a DT A33999 210 113 Point Point NNP A33999 210 114 in in IN A33999 210 115 the the DT A33999 210 116 said say VBN A33999 210 117 Arch Arch NNP A33999 210 118 , , , A33999 210 119 through through IN A33999 210 120 which which WDT A33999 210 121 the the DT A33999 210 122 hour hour NN A33999 210 123 line line NN A33999 210 124 desired desire VBN A33999 210 125 is be VBZ A33999 210 126 to to TO A33999 210 127 pass pass VB A33999 210 128 : : : A33999 210 129 Thus thus RB A33999 210 130 we -PRON- PRP A33999 210 131 inscribed inscribe VBD A33999 210 132 the the DT A33999 210 133 hour hour NN A33999 210 134 line line NN A33999 210 135 of of IN A33999 210 136 three three CD A33999 210 137 in in IN A33999 210 138 the the DT A33999 210 139 former former JJ A33999 210 140 Dyal Dyal NNP A33999 210 141 . . . A33999 211 1 When when WRB A33999 211 2 the the DT A33999 211 3 North North NNP A33999 211 4 Pole Pole NNP A33999 211 5 is be VBZ A33999 211 6 elevated elevate VBN A33999 211 7 , , , A33999 211 8 the the DT A33999 211 9 Center Center NNP A33999 211 10 of of IN A33999 211 11 the the DT A33999 211 12 Dyal Dyal NNP A33999 211 13 must must MD A33999 211 14 be be VB A33999 211 15 below below RB A33999 211 16 , , , A33999 211 17 but but CC A33999 211 18 when when WRB A33999 211 19 the the DT A33999 211 20 South South NNP A33999 211 21 Pole Pole NNP A33999 211 22 is be VBZ A33999 211 23 elevated elevate VBN A33999 211 24 , , , A33999 211 25 as as IN A33999 211 26 in in IN A33999 211 27 this this DT A33999 211 28 example example NN A33999 211 29 , , , A33999 211 30 it -PRON- PRP A33999 211 31 must must MD A33999 211 32 be be VB A33999 211 33 above above RB A33999 211 34 , , , A33999 211 35 and and CC A33999 211 36 the the DT A33999 211 37 Point Point NNP A33999 211 38 ☉ ☉ NNP A33999 211 39 must must MD A33999 211 40 be be VB A33999 211 41 alwayes alwayes NNP A33999 211 42 found find VBN A33999 211 43 in in IN A33999 211 44 the the DT A33999 211 45 other other JJ A33999 211 46 part part NN A33999 211 47 of of IN A33999 211 48 the the DT A33999 211 49 Diameter Diameter NNP A33999 211 50 most most RBS A33999 211 51 remote remote JJ A33999 211 52 from from IN A33999 211 53 the the DT A33999 211 54 Center Center NNP A33999 211 55 . . . A33999 212 1 6 6 CD A33999 212 2 . . . A33999 213 1 The the DT A33999 213 2 Stiles Stiles NNP A33999 213 3 height height NN A33999 213 4 may may MD A33999 213 5 be be VB A33999 213 6 transferred transfer VBN A33999 213 7 from from IN A33999 213 8 the the DT A33999 213 9 former former JJ A33999 213 10 Scheme Scheme NNP A33999 213 11 into into IN A33999 213 12 this this DT A33999 213 13 , , , A33999 213 14 by by IN A33999 213 15 pricking prick VBG A33999 213 16 the the DT A33999 213 17 Arch Arch NNP A33999 213 18 TK TK NNP A33999 213 19 twice twice RB A33999 213 20 in in IN A33999 213 21 this this DT A33999 213 22 Circle Circle NNP A33999 213 23 , , , A33999 213 24 and and CC A33999 213 25 it -PRON- PRP A33999 213 26 findes find VBZ A33999 213 27 a a DT A33999 213 28 point point NN A33999 213 29 , , , A33999 213 30 from from IN A33999 213 31 whence whence NN A33999 213 32 a a DT A33999 213 33 line line NN A33999 213 34 drawn draw VBN A33999 213 35 into into IN A33999 213 36 the the DT A33999 213 37 Center Center NNP A33999 213 38 , , , A33999 213 39 shall shall MD A33999 213 40 represent represent VB A33999 213 41 the the DT A33999 213 42 Stile Stile NNP A33999 213 43 . . . A33999 214 1 That that IN A33999 214 2 the the DT A33999 214 3 hour hour NN A33999 214 4 lines line NNS A33999 214 5 are be VBP A33999 214 6 true true JJ A33999 214 7 Delineated delineate VBN A33999 214 8 . . . A33999 215 1 The the DT A33999 215 2 Point Point NNP A33999 215 3 Sol Sol NNP A33999 215 4 found find VBD A33999 215 5 in in IN A33999 215 6 the the DT A33999 215 7 Substile Substile NNP A33999 215 8 , , , A33999 215 9 divides divide VBZ A33999 215 10 the the DT A33999 215 11 Diameter Diameter NNP A33999 215 12 of of IN A33999 215 13 the the DT A33999 215 14 Circle Circle NNP A33999 215 15 drawn draw VBN A33999 215 16 on on IN A33999 215 17 the the DT A33999 215 18 said say VBN A33999 215 19 Substile Substile NNP A33999 215 20 in in IN A33999 215 21 such such JJ A33999 215 22 Proportion proportion NN A33999 215 23 , , , A33999 215 24 as as IN A33999 215 25 the the DT A33999 215 26 Radius Radius NNP A33999 215 27 is be VBZ A33999 215 28 to to IN A33999 215 29 the the DT A33999 215 30 Sineof Sineof NNP A33999 215 31 the the DT A33999 215 32 Stiles Stiles NNP A33999 215 33 height height NN A33999 215 34 , , , A33999 215 35 by by IN A33999 215 36 reason reason NN A33999 215 37 of of IN A33999 215 38 the the DT A33999 215 39 equiangled equiangle VBN A33999 215 40 Triangles Triangles NNPS A33999 215 41 , , , A33999 215 42 whose whose WP$ A33999 215 43 Bases basis NNS A33999 215 44 bear bear VBP A33999 215 45 such such JJ A33999 215 46 proportion proportion NN A33999 215 47 as as IN A33999 215 48 their -PRON- PRP$ A33999 215 49 perpendiculars perpendicular NNS A33999 215 50 . . . A33999 216 1 The the DT A33999 216 2 next next JJ A33999 216 3 work work NN A33999 216 4 performed perform VBN A33999 216 5 by by IN A33999 216 6 dividing divide VBG A33999 216 7 the the DT A33999 216 8 Circle Circle NNP A33999 216 9 into into IN A33999 216 10 12 12 CD A33999 216 11 equal equal JJ A33999 216 12 parts part NNS A33999 216 13 , , , A33999 216 14 and and CC A33999 216 15 finding find VBG A33999 216 16 points point NNS A33999 216 17 on on IN A33999 216 18 the the DT A33999 216 19 opposite opposite JJ A33999 216 20 side side NN A33999 216 21 , , , A33999 216 22 by by IN A33999 216 23 laying lay VBG A33999 216 24 a a DT A33999 216 25 ruler ruler NN A33999 216 26 over over IN A33999 216 27 those those DT A33999 216 28 equal equal JJ A33999 216 29 parts part NNS A33999 216 30 through through IN A33999 216 31 the the DT A33999 216 32 point point NN A33999 216 33 Sol Sol NNP A33999 216 34 , , , A33999 216 35 carrieth carrieth JJ A33999 216 36 on on IN A33999 216 37 this this DT A33999 216 38 Proportion proportion NN A33999 216 39 . . . A33999 217 1 As as IN A33999 217 2 the the DT A33999 217 3 Radius Radius NNP A33999 217 4 is be VBZ A33999 217 5 to to IN A33999 217 6 the the DT A33999 217 7 Tangent Tangent NNP A33999 217 8 of of IN A33999 217 9 the the DT A33999 217 10 hour hour NN A33999 217 11 from from IN A33999 217 12 the the DT A33999 217 13 substile substile NN A33999 217 14 , , , A33999 217 15 So so RB A33999 217 16 is be VBZ A33999 217 17 the the DT A33999 217 18 Sine Sine NNP A33999 217 19 of of IN A33999 217 20 the the DT A33999 217 21 Stiles Stiles NNPS A33999 217 22 height height NN A33999 217 23 To to IN A33999 217 24 the the DT A33999 217 25 Tangent tangent NN A33999 217 26 of of IN A33999 217 27 the the DT A33999 217 28 hour hour NN A33999 217 29 line line NN A33999 217 30 , , , A33999 217 31 from from IN A33999 217 32 the the DT A33999 217 33 Substile Substile NNP A33999 217 34 , , , A33999 217 35 being be VBG A33999 217 36 the the DT A33999 217 37 proportion proportion NN A33999 217 38 used use VBN A33999 217 39 in in IN A33999 217 40 all all DT A33999 217 41 Dyals dyal NNS A33999 217 42 , , , A33999 217 43 whereby whereby WRB A33999 217 44 to to TO A33999 217 45 set set VB A33999 217 46 off off RP A33999 217 47 the the DT A33999 217 48 hours hour NNS A33999 217 49 . . . A33999 218 1 In in IN A33999 218 2 the the DT A33999 218 3 third third JJ A33999 218 4 figure figure NN A33999 218 5 following following NN A33999 218 6 , , , A33999 218 7 let let VB A33999 218 8 BA BA NNP A33999 218 9 represent represent VB A33999 218 10 the the DT A33999 218 11 Substile Substile NNP A33999 218 12 , , , A33999 218 13 and and CC A33999 218 14 let let VB A33999 218 15 the the DT A33999 218 16 Regulating Regulating NNP A33999 218 17 Point Point NNP A33999 218 18 be be VB A33999 218 19 at at IN A33999 218 20 M M NNP A33999 218 21 , , , A33999 218 22 so so IN A33999 218 23 that that IN A33999 218 24 BM BM NNP A33999 218 25 bears bear VBZ A33999 218 26 such such JJ A33999 218 27 Proportion proportion NN A33999 218 28 to to IN A33999 218 29 MA MA NNP A33999 218 30 , , , A33999 218 31 as as IN A33999 218 32 the the DT A33999 218 33 Radius Radius NNP A33999 218 34 doth doth NN A33999 218 35 to to IN A33999 218 36 the the DT A33999 218 37 Sine Sine NNP A33999 218 38 of of IN A33999 218 39 the the DT A33999 218 40 Stiles Stiles NNP A33999 218 41 height height NN A33999 218 42 , , , A33999 218 43 let let VB A33999 218 44 the the DT A33999 218 45 perpendicular perpendicular JJ A33999 218 46 BHE BHE NNP A33999 218 47 represent represent VB A33999 218 48 a a DT A33999 218 49 line line NN A33999 218 50 of of IN A33999 218 51 Tangents Tangents NNP A33999 218 52 , , , A33999 218 53 whose whose WP$ A33999 218 54 Radius Radius NNP A33999 218 55 is be VBZ A33999 218 56 equal equal JJ A33999 218 57 to to IN A33999 218 58 BC BC NNP A33999 218 59 , , , A33999 218 60 and and CC A33999 218 61 the the DT A33999 218 62 perpendicular perpendicular JJ A33999 218 63 AD ad NN A33999 218 64 , , , A33999 218 65 another another DT A33999 218 66 line line NN A33999 218 67 of of IN A33999 218 68 Tangents tangent NNS A33999 218 69 to to IN A33999 218 70 the the DT A33999 218 71 same same JJ A33999 218 72 Radius Radius NNP A33999 218 73 both both CC A33999 218 74 infinitely infinitely RB A33999 218 75 produced produce VBD A33999 218 76 , , , A33999 218 77 and and CC A33999 218 78 let let VB A33999 218 79 BE be VB A33999 218 80 represent represent VB A33999 218 81 the the DT A33999 218 82 Tangent tangent NN A33999 218 83 of of IN A33999 218 84 some some DT A33999 218 85 particular particular JJ A33999 218 86 Arch Arch NNP A33999 218 87 or or CC A33999 218 88 hour hour NN A33999 218 89 to to TO A33999 218 90 be be VB A33999 218 91 drawn draw VBN A33999 218 92 , , , A33999 218 93 from from IN A33999 218 94 E e NN A33999 218 95 through through IN A33999 218 96 the the DT A33999 218 97 point point NN A33999 218 98 M m NN A33999 218 99 draw draw VB A33999 218 100 a a DT A33999 218 101 right right JJ A33999 218 102 line line NN A33999 218 103 to to IN A33999 218 104 D d NN A33999 218 105 , , , A33999 218 106 and and CC A33999 218 107 the the DT A33999 218 108 Proportion Proportion NNP A33999 218 109 lies lie VBZ A33999 218 110 evident evident JJ A33999 218 111 in in IN A33999 218 112 right right JJ A33999 218 113 lines line NNS A33999 218 114 . . . A33999 219 1 As as IN A33999 219 2 the the DT A33999 219 3 Radius Radius NNP A33999 219 4 BM BM NNP A33999 219 5 : : : A33999 219 6 Is be VBZ A33999 219 7 to to IN A33999 219 8 the the DT A33999 219 9 Tangent tangent NN A33999 219 10 of of IN A33999 219 11 the the DT A33999 219 12 hour hour NN A33999 219 13 line line NN A33999 219 14 from from IN A33999 219 15 the the DT A33999 219 16 Subtile Subtile NNP A33999 219 17 BE be VB A33999 219 18 ∷ ∷ PRP A33999 219 19 So so RB A33999 219 20 is be VBZ A33999 219 21 the the DT A33999 219 22 Sine Sine NNP A33999 219 23 of of IN A33999 219 24 the the DT A33999 219 25 Stiles Stiles NNP A33999 219 26 height height NN A33999 219 27 MA MA NNP A33999 219 28 To to IN A33999 219 29 the the DT A33999 219 30 tangent tangent NN A33999 219 31 of of IN A33999 219 32 the the DT A33999 219 33 hour hour NN A33999 219 34 line line NN A33999 219 35 from from IN A33999 219 36 the the DT A33999 219 37 substile substile JJ A33999 219 38 AD ad NN A33999 219 39 . . . A33999 220 1 If if IN A33999 220 2 from from IN A33999 220 3 every every DT A33999 220 4 degree degree NN A33999 220 5 of of IN A33999 220 6 a a DT A33999 220 7 Tangent Tangent NNP A33999 220 8 line line NN A33999 220 9 , , , A33999 220 10 lines line NNS A33999 220 11 be be VBP A33999 220 12 drawn draw VBN A33999 220 13 into into IN A33999 220 14 the the DT A33999 220 15 Center Center NNP A33999 220 16 of of IN A33999 220 17 the the DT A33999 220 18 Circle Circle NNP A33999 220 19 proper proper JJ A33999 220 20 to to IN A33999 220 21 that that DT A33999 220 22 Tangent Tangent NNP A33999 220 23 , , , A33999 220 24 they -PRON- PRP A33999 220 25 shall shall MD A33999 220 26 divide divide VB A33999 220 27 that that IN A33999 220 28 Quadrant Quadrant NNP A33999 220 29 to to TO A33999 220 30 which which WDT A33999 220 31 they -PRON- PRP A33999 220 32 belong belong VBP A33999 220 33 into into IN A33999 220 34 90 90 CD A33999 220 35 equal equal JJ A33999 220 36 parts part NNS A33999 220 37 , , , A33999 220 38 this this DT A33999 220 39 follows follow VBZ A33999 220 40 from from IN A33999 220 41 the the DT A33999 220 42 definition definition NN A33999 220 43 of of IN A33999 220 44 Tangents Tangents NNP A33999 220 45 , , , A33999 220 46 but but CC A33999 220 47 if if IN A33999 220 48 the the DT A33999 220 49 lines line NNS A33999 220 50 be be VBP A33999 220 51 drawn draw VBN A33999 220 52 from from IN A33999 220 53 every every DT A33999 220 54 degree degree NN A33999 220 55 of of IN A33999 220 56 the the DT A33999 220 57 said say VBN A33999 220 58 tangent tangent NN A33999 220 59 to to IN A33999 220 60 the the DT A33999 220 61 extreamity extreamity NN A33999 220 62 of of IN A33999 220 63 the the DT A33999 220 64 diamer diamer NN A33999 220 65 , , , A33999 220 66 they -PRON- PRP A33999 220 67 shall shall MD A33999 220 68 divide divide VB A33999 220 69 a a DT A33999 220 70 Semicircle Semicircle NNP A33999 220 71 into into IN A33999 220 72 90 90 CD A33999 220 73 equal equal JJ A33999 220 74 parts part NNS A33999 220 75 by by IN A33999 220 76 20 20 CD A33999 220 77 Prop Prop NNP A33999 220 78 . . . A33999 221 1 3 3 LS A33999 221 2 . . . A33999 222 1 Euclid euclid JJ A33999 222 2 . . . A33999 223 1 because because IN A33999 223 2 an an DT A33999 223 3 Angle angle NN A33999 223 4 in in IN A33999 223 5 the the DT A33999 223 6 Circumference Circumference NNP A33999 223 7 , , , A33999 223 8 is be VBZ A33999 223 9 but but CC A33999 223 10 half half RB A33999 223 11 so so RB A33999 223 12 much much RB A33999 223 13 as as IN A33999 223 14 it -PRON- PRP A33999 223 15 is be VBZ A33999 223 16 in in IN A33999 223 17 the the DT A33999 223 18 Center Center NNP A33999 223 19 . . . A33999 224 1 Thus thus RB A33999 224 2 the the DT A33999 224 3 Semicircle Semicircle NNP A33999 224 4 BGA BGA NNP A33999 224 5 is be VBZ A33999 224 6 supposed suppose VBN A33999 224 7 to to TO A33999 224 8 be be VB A33999 224 9 divided divide VBN A33999 224 10 into into IN A33999 224 11 90 90 CD A33999 224 12 equal equal JJ A33999 224 13 parts part NNS A33999 224 14 from from IN A33999 224 15 the the DT A33999 224 16 Tangent Tangent NNP A33999 224 17 BE be NN A33999 224 18 , , , A33999 224 19 by by IN A33999 224 20 lines line NNS A33999 224 21 drawn draw VBN A33999 224 22 to to IN A33999 224 23 A a DT A33999 224 24 , , , A33999 224 25 as as IN A33999 224 26 is be VBZ A33999 224 27 the the DT A33999 224 28 line line NN A33999 224 29 EGA EGA NNP A33999 224 30 , , , A33999 224 31 so so RB A33999 224 32 is be VBZ A33999 224 33 the the DT A33999 224 34 other other JJ A33999 224 35 Semicircle Semicircle NNP A33999 224 36 from from IN A33999 224 37 the the DT A33999 224 38 other other JJ A33999 224 39 Tangent Tangent NNP A33999 224 40 AD AD NNP A33999 224 41 , , , A33999 224 42 by by IN A33999 224 43 lines line NNS A33999 224 44 drawn draw VBN A33999 224 45 to to IN A33999 224 46 B b NN A33999 224 47 , , , A33999 224 48 as as IN A33999 224 49 is be VBZ A33999 224 50 BFD BFD NNP A33999 224 51 ; ; : A33999 224 52 Now now RB A33999 224 53 if if IN A33999 224 54 it -PRON- PRP A33999 224 55 can can MD A33999 224 56 be be VB A33999 224 57 demonstrated demonstrate VBN A33999 224 58 that that IN A33999 224 59 the the DT A33999 224 60 points point NNS A33999 224 61 GMF GMF NNP A33999 224 62 are be VBP A33999 224 63 in in IN A33999 224 64 a a DT A33999 224 65 right right JJ A33999 224 66 line line NN A33999 224 67 , , , A33999 224 68 it -PRON- PRP A33999 224 69 follows follow VBZ A33999 224 70 that that IN A33999 224 71 the the DT A33999 224 72 same same JJ A33999 224 73 Proportions Proportions NNPS A33999 224 74 may may MD A33999 224 75 be be VB A33999 224 76 carried carry VBN A33999 224 77 on on RP A33999 224 78 from from IN A33999 224 79 the the DT A33999 224 80 equal equal JJ A33999 224 81 divisions division NNS A33999 224 82 of of IN A33999 224 83 these these DT A33999 224 84 Semicircles Semicircles NNPS A33999 224 85 , , , A33999 224 86 as as IN A33999 224 87 were be VBD A33999 224 88 done do VBN A33999 224 89 in in IN A33999 224 90 the the DT A33999 224 91 right right JJ A33999 224 92 Tangent Tangent NNP A33999 224 93 lines line NNS A33999 224 94 BE be VBP A33999 224 95 and and CC A33999 224 96 AD ad NN A33999 224 97 , , , A33999 224 98 this this DT A33999 224 99 Proposition proposition NN A33999 224 100 being be VBG A33999 224 101 very very RB A33999 224 102 well well RB A33999 224 103 Geometrically geometrically RB A33999 224 104 demonstrated demonstrate VBN A33999 224 105 by by IN A33999 224 106 my -PRON- PRP$ A33999 224 107 loving loving JJ A33999 224 108 friend friend NN A33999 224 109 Mr. Mr. NNP A33999 224 110 Thomas Thomas NNP A33999 224 111 Harvy Harvy NNP A33999 224 112 ; ; : A33999 224 113 his -PRON- PRP$ A33999 224 114 Demonstration demonstration NN A33999 224 115 thereof thereof RB A33999 224 116 shall shall MD A33999 224 117 hereafter hereafter RB A33999 224 118 follow follow VB A33999 224 119 . . . A33999 225 1 Having have VBG A33999 225 2 found find VBN A33999 225 3 the the DT A33999 225 4 distance distance NN A33999 225 5 of of IN A33999 225 6 the the DT A33999 225 7 hour hour NN A33999 225 8 line line NN A33999 225 9 , , , A33999 225 10 from from IN A33999 225 11 the the DT A33999 225 12 subsistle subsistle NN A33999 225 13 AB AB NNP A33999 225 14 , , , A33999 225 15 if if IN A33999 225 16 B b NN A33999 225 17 be be VB A33999 225 18 made make VBN A33999 225 19 the the DT A33999 225 20 Center Center NNP A33999 225 21 of of IN A33999 225 22 the the DT A33999 225 23 Dyal Dyal NNP A33999 225 24 , , , A33999 225 25 the the DT A33999 225 26 right right JJ A33999 225 27 line line NN A33999 225 28 BF BF NNP A33999 225 29 drawn draw VBN A33999 225 30 into into IN A33999 225 31 the the DT A33999 225 32 Center Center NNP A33999 225 33 , , , A33999 225 34 shall shall MD A33999 225 35 represent represent VB A33999 225 36 the the DT A33999 225 37 hour hour NN A33999 225 38 line line NN A33999 225 39 proposed propose VBN A33999 225 40 , , , A33999 225 41 making make VBG A33999 225 42 the the DT A33999 225 43 same same JJ A33999 225 44 Angle Angle NNP A33999 225 45 with with IN A33999 225 46 the the DT A33999 225 47 Substile Substile NNP A33999 225 48 , , , A33999 225 49 as as IN A33999 225 50 was be VBD A33999 225 51 found find VBN A33999 225 52 by by IN A33999 225 53 the the DT A33999 225 54 proportion proportion NN A33999 225 55 ; ; : A33999 225 56 note note VB A33999 225 57 that that IN A33999 225 58 no no DT A33999 225 59 hour hour NN A33999 225 60 can can MD A33999 225 61 be be VB A33999 225 62 further further RB A33999 225 63 distant distant JJ A33999 225 64 on on IN A33999 225 65 one one CD A33999 225 66 side side NN A33999 225 67 or or CC A33999 225 68 other other JJ A33999 225 69 of of IN A33999 225 70 the the DT A33999 225 71 Substile Substile NNP A33999 225 72 then then RB A33999 225 73 90d 90d NNS A33999 225 74 , , , A33999 225 75 and and CC A33999 225 76 the the DT A33999 225 77 said say VBD A33999 225 78 Ark Ark NNP A33999 225 79 of of IN A33999 225 80 distance distance NN A33999 225 81 will will MD A33999 225 82 be be VB A33999 225 83 found find VBN A33999 225 84 in in IN A33999 225 85 one one CD A33999 225 86 of of IN A33999 225 87 the the DT A33999 225 88 Semicircles Semicircles NNP A33999 225 89 , , , A33999 225 90 and and CC A33999 225 91 if if IN A33999 225 92 the the DT A33999 225 93 Center Center NNP A33999 225 94 were be VBD A33999 225 95 not not RB A33999 225 96 placed place VBN A33999 225 97 in in IN A33999 225 98 the the DT A33999 225 99 Circumference Circumference NNP A33999 225 100 , , , A33999 225 101 the the DT A33999 225 102 Angle Angle NNP A33999 225 103 found find VBN A33999 225 104 would would MD A33999 225 105 be be VB A33999 225 106 extended extend VBN A33999 225 107 beyond beyond IN A33999 225 108 its -PRON- PRP$ A33999 225 109 due due JJ A33999 225 110 quantity quantity NN A33999 225 111 , , , A33999 225 112 in in IN A33999 225 113 all all DT A33999 225 114 upright upright JJ A33999 225 115 Decliners Decliners NNPS A33999 225 116 or or CC A33999 225 117 leaning lean VBG A33999 225 118 Plains Plains NNPS A33999 225 119 : : : A33999 225 120 The the DT A33999 225 121 first first JJ A33999 225 122 Proportion proportion NN A33999 225 123 carried carry VBN A33999 225 124 on on RB A33999 225 125 , , , A33999 225 126 is be VBZ A33999 225 127 this this DT A33999 225 128 ; ; : A33999 225 129 As as IN A33999 225 130 the the DT A33999 225 131 Sine Sine NNP A33999 225 132 of of IN A33999 225 133 the the DT A33999 225 134 Stiles Stiles NNP A33999 225 135 height height NN A33999 225 136 : : : A33999 225 137 Is be VBZ A33999 225 138 to to IN A33999 225 139 the the DT A33999 225 140 tangent tangent NN A33999 225 141 of of IN A33999 225 142 the the DT A33999 225 143 distance distance NN A33999 225 144 between between IN A33999 225 145 the the DT A33999 225 146 Meridian Meridian NNP A33999 225 147 and and CC A33999 225 148 substile substile JJ A33999 225 149 : : : A33999 225 150 So so RB A33999 225 151 is be VBZ A33999 225 152 the the DT A33999 225 153 Radius radius NN A33999 225 154 : : : A33999 225 155 to to IN A33999 225 156 the the DT A33999 225 157 tangent tangent NN A33999 225 158 of of IN A33999 225 159 the the DT A33999 225 160 inclination inclination NN A33999 225 161 of of IN A33999 225 162 Meridians Meridians NNPS A33999 225 163 : : : A33999 225 164 Whereby whereby WRB A33999 225 165 is be VBZ A33999 225 166 found find VBN A33999 225 167 the the DT A33999 225 168 point point NN A33999 225 169 from from IN A33999 225 170 whence whence NN A33999 225 171 the the DT A33999 225 172 Circle Circle NNP A33999 225 173 is be VBZ A33999 225 174 to to TO A33999 225 175 begin begin VB A33999 225 176 to to TO A33999 225 177 be be VB A33999 225 178 divided divide VBN A33999 225 179 into into IN A33999 225 180 12 12 CD A33999 225 181 parts part NNS A33999 225 182 for for IN A33999 225 183 the the DT A33999 225 184 whole whole JJ A33999 225 185 hours hour NNS A33999 225 186 with with IN A33999 225 187 their -PRON- PRP$ A33999 225 188 halfs half NNS A33999 225 189 and and CC A33999 225 190 quarters quarter NNS A33999 225 191 , , , A33999 225 192 and and CC A33999 225 193 those those DT A33999 225 194 equal equal JJ A33999 225 195 divisions division NNS A33999 225 196 give give VBP A33999 225 197 the the DT A33999 225 198 Angles angle NNS A33999 225 199 between between IN A33999 225 200 the the DT A33999 225 201 Meridian Meridian NNP A33999 225 202 of of IN A33999 225 203 the the DT A33999 225 204 plain plain NN A33999 225 205 , , , A33999 225 206 and and CC A33999 225 207 the the DT A33999 225 208 respective respective JJ A33999 225 209 hours hour NNS A33999 225 210 , , , A33999 225 211 called call VBN A33999 225 212 by by IN A33999 225 213 some some DT A33999 225 214 the the DT A33999 225 215 Angles angle NNS A33999 225 216 at at IN A33999 225 217 the the DT A33999 225 218 Pole Pole NNP A33999 225 219 , , , A33999 225 220 and and CC A33999 225 221 then then RB A33999 225 222 the the DT A33999 225 223 work work NN A33999 225 224 is be VBZ A33999 225 225 the the DT A33999 225 226 same same JJ A33999 225 227 as as IN A33999 225 228 before before RB A33999 225 229 : : : A33999 225 230 Now now RB A33999 225 231 to to IN A33999 225 232 the the DT A33999 225 233 Proposition Proposition NNP A33999 225 234 . . . A33999 226 1 Construction construction NN A33999 226 2 . . . A33999 227 1 The the DT A33999 227 2 right right JJ A33999 227 3 lines line NNS A33999 227 4 AD ad NN A33999 227 5 , , , A33999 227 6 BE BE NNP A33999 227 7 are be VBP A33999 227 8 parallel parallel JJ A33999 227 9 , , , A33999 227 10 and and CC A33999 227 11 touch touch VB A33999 227 12 the the DT A33999 227 13 Circle Circle NNP A33999 227 14 in in IN A33999 227 15 the the DT A33999 227 16 extreams extream NNS A33999 227 17 of of IN A33999 227 18 the the DT A33999 227 19 Diameter Diameter NNP A33999 227 20 AB AB NNP A33999 227 21 , , , A33999 227 22 DE DE NNP A33999 227 23 is be VBZ A33999 227 24 drawn draw VBN A33999 227 25 at at IN A33999 227 26 pleasure pleasure NN A33999 227 27 , , , A33999 227 28 cutting cut VBG A33999 227 29 the the DT A33999 227 30 Tangents tangent NNS A33999 227 31 in in IN A33999 227 32 D d NN A33999 227 33 and and CC A33999 227 34 E e NN A33999 227 35 , , , A33999 227 36 and and CC A33999 227 37 the the DT A33999 227 38 Diameter Diameter NNP A33999 227 39 in in IN A33999 227 40 M M NNP A33999 227 41 , , , A33999 227 42 BD BD NNP A33999 227 43 and and CC A33999 227 44 AE AE NNP A33999 227 45 cutteth cutteth VBP A33999 227 46 the the DT A33999 227 47 Circumference Circumference NNP A33999 227 48 in in IN A33999 227 49 F F NNP A33999 227 50 and and CC A33999 227 51 G G NNP A33999 227 52 , , , A33999 227 53 it -PRON- PRP A33999 227 54 is be VBZ A33999 227 55 required require VBN A33999 227 56 to to TO A33999 227 57 be be VB A33999 227 58 proved prove VBN A33999 227 59 that that IN A33999 227 60 the the DT A33999 227 61 Points Points NNPS A33999 227 62 F F NNP A33999 227 63 , , , A33999 227 64 M M NNP A33999 227 65 , , , A33999 227 66 and and CC A33999 227 67 G g NN A33999 227 68 , , , A33999 227 69 are be VBP A33999 227 70 in in IN A33999 227 71 a a DT A33999 227 72 right right JJ A33999 227 73 line line NN A33999 227 74 . . . A33999 228 1 Draw draw VB A33999 228 2 the the DT A33999 228 3 lines line NNS A33999 228 4 MF MF NNP A33999 228 5 , , , A33999 228 6 MG MG NNP A33999 228 7 , , , A33999 228 8 first first RB A33999 228 9 if if IN A33999 228 10 AD ad NN A33999 228 11 be be VB A33999 228 12 = = SYM A33999 228 13 BE be VB A33999 228 14 then then RB A33999 228 15 AM am NN A33999 228 16 is be VBZ A33999 228 17 = = NFP A33999 228 18 MB mb NN A33999 228 19 , , , A33999 228 20 for for IN A33999 228 21 the the DT A33999 228 22 Triangles Triangles NNP A33999 228 23 ADM ADM NNP A33999 228 24 and and CC A33999 228 25 BEM BEM NNP A33999 228 26 are be VBP A33999 228 27 equiangeld equiangeld VBN A33999 228 28 , , , A33999 228 29 therefore therefore RB A33999 228 30 M M NNP A33999 228 31 is be VBZ A33999 228 32 the the DT A33999 228 33 Center Center NNP A33999 228 34 . . . A33999 229 1 Again again RB A33999 229 2 AD ad NN A33999 229 3 being be VBG A33999 229 4 = = SYM A33999 229 5 BE be VB A33999 229 6 and and CC A33999 229 7 the the DT A33999 229 8 Angle Angle NNP A33999 229 9 DAB DAB NNP A33999 229 10 = = SYM A33999 229 11 EBA EBA NNP A33999 229 12 & & CC A33999 229 13 AB AB NNP A33999 229 14 common common JJ A33999 229 15 to to IN A33999 229 16 both both DT A33999 229 17 Triangles Triangles NNP A33999 229 18 DAB DAB NNP A33999 229 19 , , , A33999 229 20 EBA EBA NNP A33999 229 21 therefore therefore RB A33999 229 22 the the DT A33999 229 23 Angles Angles NNP A33999 229 24 DBA DBA NNP A33999 229 25 , , , A33999 229 26 EAB EAB NNP A33999 229 27 are be VBP A33999 229 28 equal equal JJ A33999 229 29 , , , A33999 229 30 and and CC A33999 229 31 the the DT A33999 229 32 double double JJ A33999 229 33 of of IN A33999 229 34 them -PRON- PRP A33999 229 35 FMA FMA NNP A33999 229 36 , , , A33999 229 37 GMB GMB NNP A33999 229 38 the the DT A33999 229 39 Angles angle NNS A33999 229 40 at at IN A33999 229 41 the the DT A33999 229 42 Center Center NNP A33999 229 43 , , , A33999 229 44 are be VBP A33999 229 45 also also RB A33999 229 46 equal equal JJ A33999 229 47 , , , A33999 229 48 wherefore wherefore VBD A33999 229 49 FM FM NNP A33999 229 50 and and CC A33999 229 51 MG MG NNP A33999 229 52 is be VBZ A33999 229 53 one one CD A33999 229 54 and and CC A33999 229 55 the the DT A33999 229 56 same same JJ A33999 229 57 right right JJ A33999 229 58 line line NN A33999 229 59 which which WDT A33999 229 60 was be VBD A33999 229 61 to to TO A33999 229 62 be be VB A33999 229 63 proved prove VBN A33999 229 64 . . . A33999 230 1 Secondly secondly RB A33999 230 2 , , , A33999 230 3 if if IN A33999 230 4 AD ad NN A33999 230 5 be be VBP A33999 230 6 not not RB A33999 230 7 equal equal JJ A33999 230 8 to to TO A33999 230 9 BE be VB A33999 230 10 , , , A33999 230 11 as as IN A33999 230 12 in in IN A33999 230 13 the the DT A33999 230 14 second second JJ A33999 230 15 , , , A33999 230 16 third third JJ A33999 230 17 , , , A33999 230 18 & & CC A33999 230 19 fourth fourth JJ A33999 230 20 Scheams Scheams NNP A33999 230 21 let let VBD A33999 230 22 BE be VB A33999 230 23 be be VB A33999 230 24 greater great JJR A33999 230 25 , , , A33999 230 26 and and CC A33999 230 27 make make VB A33999 230 28 BH BH NNP A33999 230 29 = = -RRB- A33999 230 30 AD ad NN A33999 230 31 and and CC A33999 230 32 BI BI NNP A33999 230 33 = = SYM A33999 230 34 AM am NN A33999 230 35 , , , A33999 230 36 and and CC A33999 230 37 draw draw VB A33999 230 38 the the DT A33999 230 39 right right JJ A33999 230 40 line line NN A33999 230 41 AH AH NNP A33999 230 42 cutting cut VBG A33999 230 43 the the DT A33999 230 44 Circumference Circumference NNP A33999 230 45 in in IN A33999 230 46 K K NNP A33999 230 47 ; ; : A33999 230 48 draw draw VB A33999 230 49 likewise likewise RB A33999 230 50 IK IK NNP A33999 230 51 , , , A33999 230 52 IH IH NNP A33999 230 53 , , , A33999 230 54 GK GK NNP A33999 230 55 , , , A33999 230 56 and and CC A33999 230 57 extend extend VB A33999 230 58 GK GK NNP A33999 230 59 infinitely infinitely RB A33999 230 60 both both DT A33999 230 61 wayes waye NNS A33999 230 62 , , , A33999 230 63 which which WDT A33999 230 64 shall shall MD A33999 230 65 be be VB A33999 230 66 either either CC A33999 230 67 parallel parallel NN A33999 230 68 to to IN A33999 230 69 AB AB NNP A33999 230 70 ( ( -LRB- A33999 230 71 as as IN A33999 230 72 in in IN A33999 230 73 the the DT A33999 230 74 second second JJ A33999 230 75 figure figure NN A33999 230 76 ) ) -RRB- A33999 230 77 or or CC A33999 230 78 cut cut VBD A33999 230 79 it -PRON- PRP A33999 230 80 in in IN A33999 230 81 the the DT A33999 230 82 point point NN A33999 230 83 P p NN A33999 230 84 one one CD A33999 230 85 side side NN A33999 230 86 or or CC A33999 230 87 the the DT A33999 230 88 other other JJ A33999 230 89 , , , A33999 230 90 as as IN A33999 230 91 in in IN A33999 230 92 the the DT A33999 230 93 third third JJ A33999 230 94 and and CC A33999 230 95 fourth fourth JJ A33999 230 96 figures figure NNS A33999 230 97 , , , A33999 230 98 in in IN A33999 230 99 each each DT A33999 230 100 from from IN A33999 230 101 the the DT A33999 230 102 points point NNS A33999 230 103 A A NNP A33999 230 104 and and CC A33999 230 105 B b NN A33999 230 106 , , , A33999 230 107 and and CC A33999 230 108 the the DT A33999 230 109 Center Center NNP A33999 230 110 C C NNP A33999 230 111 at at IN A33999 230 112 right right JJ A33999 230 113 Angles Angles NNP A33999 230 114 to to IN A33999 230 115 GK GK NNP A33999 230 116 , , , A33999 230 117 draw draw VB A33999 230 118 the the DT A33999 230 119 lines line NNS A33999 230 120 AO AO NNP A33999 230 121 , , , A33999 230 122 BN BN NNP A33999 230 123 , , , A33999 230 124 CL CL NNP A33999 230 125 lastly lastly RB A33999 230 126 draw draw VBP A33999 230 127 BG BG NNP A33999 230 128 , , , A33999 230 129 from from IN A33999 230 130 which which WDT A33999 230 131 Construction construction NN A33999 230 132 it -PRON- PRP A33999 230 133 willfollow willfollow RB A33999 230 134 , , , A33999 230 135 That that IN A33999 230 136 1 1 CD A33999 230 137 . . . A33999 231 1 HI HI NNP A33999 231 2 is be VBZ A33999 231 3 parallel parallel JJ A33999 231 4 to to IN A33999 231 5 ED ED NNP A33999 231 6 for for IN A33999 231 7 HB HB NNP A33999 231 8 is be VBZ A33999 231 9 = = NFP A33999 231 10 AD ad NN A33999 231 11 and and CC A33999 231 12 BI BI NNP A33999 231 13 = = SYM A33999 231 14 AM am NN A33999 231 15 and and CC A33999 231 16 the the DT A33999 231 17 Angles Angles NNP A33999 231 18 HBI HBI NNP A33999 231 19 and and CC A33999 231 20 DAM DAM NNP A33999 231 21 are be VBP A33999 231 22 equal equal JJ A33999 231 23 , , , A33999 231 24 therefore therefore RB A33999 231 25 the the DT A33999 231 26 angle angle NN A33999 231 27 AMD AMD NNP A33999 231 28 = = SYM A33999 231 29 BME BME NNP A33999 231 30 is be VBZ A33999 231 31 = = NFP A33999 231 32 BIH BIH NNP A33999 231 33 wherefore wherefore NN A33999 231 34 HI HI NNP A33999 231 35 is be VBZ A33999 231 36 parallel parallel JJ A33999 231 37 to to IN A33999 231 38 ED ED NNP A33999 231 39 . . . A33999 232 1 2 2 LS A33999 232 2 . . . A33999 233 1 IK IK NNP A33999 233 2 is be VBZ A33999 233 3 parallel parallel JJ A33999 233 4 to to IN A33999 233 5 MF MF NNP A33999 233 6 for for IN A33999 233 7 HB HB NNP A33999 233 8 is be VBZ A33999 233 9 = = NFP A33999 233 10 AD ad NN A33999 233 11 and and CC A33999 233 12 the the DT A33999 233 13 Angle Angle NNP A33999 233 14 HBA HBA NNP A33999 233 15 = = SYM A33999 233 16 DAB DAB NNP A33999 233 17 , , , A33999 233 18 and and CC A33999 233 19 AB AB NNP A33999 233 20 common common JJ A33999 233 21 to to IN A33999 233 22 both both PDT A33999 233 23 the the DT A33999 233 24 Triangles Triangles NNP A33999 233 25 HBA HBA NNP A33999 233 26 and and CC A33999 233 27 DAB DAB NNP A33999 233 28 , , , A33999 233 29 therefore therefore RB A33999 233 30 the the DT A33999 233 31 Angles Angles NNP A33999 233 32 HAB HAB NNP A33999 233 33 and and CC A33999 233 34 DBA DBA NNP A33999 233 35 are be VBP A33999 233 36 equal equal JJ A33999 233 37 , , , A33999 233 38 wherefore wherefore VBD A33999 233 39 AK AK NNP A33999 233 40 = = SYM A33999 233 41 BF BF NNP A33999 233 42 , , , A33999 233 43 but but CC A33999 233 44 AK AK NNP A33999 233 45 being be VBG A33999 233 46 = = SYM A33999 233 47 BF BF NNP A33999 233 48 and and CC A33999 233 49 IA IA NNP A33999 233 50 = = SYM A33999 233 51 MB mb NN A33999 233 52 , , , A33999 233 53 and and CC A33999 233 54 the the DT A33999 233 55 Angle Angle NNP A33999 233 56 KAI KAI NNP A33999 233 57 = = SYM A33999 233 58 MBF MBF NNP A33999 233 59 , , , A33999 233 60 therefore therefore RB A33999 233 61 KI KI NNP A33999 233 62 is be VBZ A33999 233 63 parallel parallel JJ A33999 233 64 to to IN A33999 233 65 MF MF NNP A33999 233 66 . . . A33999 234 1 3 3 LS A33999 234 2 . . . A33999 235 1 The the DT A33999 235 2 Triangles Triangles NNP A33999 235 3 AHE AHE NNP A33999 235 4 and and CC A33999 235 5 AGK AGK NNP A33999 235 6 , , , A33999 235 7 are be VBP A33999 235 8 equiangled equiangle VBN A33999 235 9 , , , A33999 235 10 so so RB A33999 235 11 also also RB A33999 235 12 are be VBP A33999 235 13 the the DT A33999 235 14 Triangles Triangles NNP A33999 235 15 AHB AHB NNP A33999 235 16 and and CC A33999 235 17 AGO ago UH A33999 235 18 , , , A33999 235 19 because because IN A33999 235 20 the the DT A33999 235 21 Angle Angle NNP A33999 235 22 AKG AKG NNP A33999 235 23 = = SYM A33999 235 24 ABG ABG NNP A33999 235 25 is be VBZ A33999 235 26 = = SYM A33999 235 27 AEB AEB NNP A33999 235 28 and and CC A33999 235 29 EAH EAH NNP A33999 235 30 common common JJ A33999 235 31 to to IN A33999 235 32 both both PDT A33999 235 33 the the DT A33999 235 34 Triangles Triangles NNP A33999 235 35 AHE AHE NNP A33999 235 36 and and CC A33999 235 37 AGK AGK NNP A33999 235 38 , , , A33999 235 39 therefore therefore RB A33999 235 40 they -PRON- PRP A33999 235 41 are be VBP A33999 235 42 equiangled equiangle VBN A33999 235 43 ; ; : A33999 235 44 again again RB A33999 235 45 the the DT A33999 235 46 Angles Angles NNP A33999 235 47 AHB AHB NNP A33999 235 48 and and CC A33999 235 49 and and CC A33999 235 50 AGO ago RB A33999 235 51 being be VBG A33999 235 52 equal equal JJ A33999 235 53 , , , A33999 235 54 the the DT A33999 235 55 right right NN A33999 235 56 Angled Angled NNP A33999 235 57 Triangles Triangles NNP A33999 235 58 ABH ABH NNP A33999 235 59 and and CC A33999 235 60 AOG AOG NNP A33999 235 61 are be VBP A33999 235 62 also also RB A33999 235 63 equiangled equiangle VBN A33999 235 64 . . . A33999 236 1 4 4 LS A33999 236 2 . . . A33999 237 1 NL NL NNP A33999 237 2 is be VBZ A33999 237 3 equal equal JJ A33999 237 4 to to IN A33999 237 5 LO LO NNP A33999 237 6 , , , A33999 237 7 because because IN A33999 237 8 BC BC NNP A33999 237 9 is be VBZ A33999 237 10 equal equal JJ A33999 237 11 to to IN A33999 237 12 CA CA NNP A33999 237 13 and and CC A33999 237 14 NK NK NNP A33999 237 15 is be VBZ A33999 237 16 = = SYM A33999 237 17 GO GO NNP A33999 237 18 , , , A33999 237 19 because because IN A33999 237 20 KL KL NNP A33999 237 21 is be VBZ A33999 237 22 = = , A33999 237 23 LG LG NNP A33999 237 24 ; ; : A33999 237 25 now now RB A33999 237 26 in in IN A33999 237 27 the the DT A33999 237 28 equiangled equiangle VBN A33999 237 29 Triangles Triangles NNP A33999 237 30 ABH ABH NNP A33999 237 31 , , , A33999 237 32 AOG AOG NNP A33999 237 33 as as IN A33999 237 34 BH BH NNP A33999 237 35 : : : A33999 237 36 HA HA NNP A33999 237 37 ∷ ∷ NNP A33999 237 38 OG OG NNP A33999 237 39 : : : A33999 237 40 GA GA NNP A33999 237 41 and and CC A33999 237 42 in in IN A33999 237 43 the the DT A33999 237 44 Triangles Triangles NNP A33999 237 45 AHE AHE NNP A33999 237 46 , , , A33999 237 47 AGK AGK NNP A33999 237 48 as as IN A33999 237 49 HA HA NNP A33999 237 50 : : : A33999 237 51 HE he PRP A33999 237 52 ∷ ∷ RB A33999 237 53 GA GA NNP A33999 237 54 to to IN A33999 237 55 GK GK NNP A33999 237 56 , , , A33999 237 57 therefore therefore RB A33999 237 58 ( ( -LRB- A33999 237 59 ex ex NNP A33999 237 60 equo equo NNP A33999 237 61 ) ) -RRB- A33999 237 62 it -PRON- PRP A33999 237 63 will will MD A33999 237 64 be be VB A33999 237 65 as as IN A33999 237 66 BH BH NNP A33999 237 67 : : : A33999 237 68 HE he PRP A33999 237 69 ∷ ∷ NNP A33999 237 70 OG OG NNP A33999 237 71 : : : A33999 237 72 GK GK NNP A33999 237 73 , , , A33999 237 74 but but CC A33999 237 75 as as IN A33999 237 76 BH BH NNP A33999 237 77 : : : A33999 237 78 HE he PRP A33999 237 79 ∷ ∷ RB A33999 237 80 BI BI NNP A33999 237 81 : : : A33999 237 82 IM IM NNP A33999 237 83 for for IN A33999 237 84 IH IH NNP A33999 237 85 is be VBZ A33999 237 86 parallel parallel JJ A33999 237 87 to to IN A33999 237 88 EM EM NNP A33999 237 89 , , , A33999 237 90 therefore therefore RB A33999 237 91 as as IN A33999 237 92 BI BI NNP A33999 237 93 : : : A33999 237 94 IM IM NNP A33999 237 95 ∷ ∷ NNP A33999 237 96 OG OG NNP A33999 237 97 : : : A33999 237 98 GK GK NNP A33999 237 99 but but CC A33999 237 100 NK NK NNP A33999 237 101 is be VBZ A33999 237 102 = = SYM A33999 237 103 OG OG NNP A33999 237 104 , , , A33999 237 105 therefore therefore RB A33999 237 106 BI BI NNP A33999 237 107 : : : A33999 237 108 IM IM NNP A33999 237 109 ∷ ∷ NNP A33999 237 110 NK NK NNP A33999 237 111 : : : A33999 237 112 KG KG NNP A33999 237 113 , , , A33999 237 114 but but CC A33999 237 115 IC IC NNP A33999 237 116 is be VBZ A33999 237 117 half half NN A33999 237 118 of of IN A33999 237 119 IM IM NNP A33999 237 120 and and CC A33999 237 121 KL KL NNP A33999 237 122 half half NN A33999 237 123 of of IN A33999 237 124 KG KG NNP A33999 237 125 , , , A33999 237 126 therefore therefore RB A33999 237 127 BI BI NNP A33999 237 128 : : : A33999 237 129 IC IC NNP A33999 237 130 ∷ ∷ NNP A33999 237 131 NK NK NNP A33999 237 132 : : : A33999 237 133 KL KL NNP A33999 237 134 , , , A33999 237 135 therefore therefore RB A33999 237 136 by by IN A33999 237 137 Composition Composition NNP A33999 237 138 of of IN A33999 237 139 Proportion Proportion NNP A33999 237 140 , , , A33999 237 141 as as IN A33999 237 142 BC BC NNP A33999 237 143 : : : A33999 237 144 IC IC NNP A33999 237 145 ∷ ∷ NNP A33999 237 146 NL NL NNP A33999 237 147 : : : A33999 237 148 KL KL NNP A33999 237 149 , , , A33999 237 150 alternately alternately RB A33999 237 151 , , , A33999 237 152 as as IN A33999 237 153 BC BC NNP A33999 237 154 : : : A33999 237 155 NL NL NNP A33999 237 156 ∷ ∷ NNP A33999 237 157 IC IC NNP A33999 237 158 : : : A33999 237 159 KL KL NNP A33999 237 160 . . . A33999 238 1 In in IN A33999 238 2 the the DT A33999 238 3 second second JJ A33999 238 4 figure figure NN A33999 238 5 BC BC NNP A33999 238 6 is be VBZ A33999 238 7 = = , A33999 238 8 NL NL NNP A33999 238 9 , , , A33999 238 10 therefore therefore RB A33999 238 11 IC IC NNP A33999 238 12 is be VBZ A33999 238 13 = = , A33999 238 14 KL KL NNP A33999 238 15 , , , A33999 238 16 wherefore wherefore NN A33999 238 17 ( ( -LRB- A33999 238 18 because because IN A33999 238 19 IC IC NNP A33999 238 20 is be VBZ A33999 238 21 also also RB A33999 238 22 parallel parallel JJ A33999 238 23 to to IN A33999 238 24 KL KL NNP A33999 238 25 ) ) -RRB- A33999 238 26 IK ik NN A33999 238 27 is be VBZ A33999 238 28 parallel parallel JJ A33999 238 29 to to IN A33999 238 30 CL CL NNP A33999 238 31 , , , A33999 238 32 by by IN A33999 238 33 like like IN A33999 238 34 reason reason NN A33999 238 35 GM GM NNP A33999 238 36 is be VBZ A33999 238 37 also also RB A33999 238 38 parallel parallel JJ A33999 238 39 to to IN A33999 238 40 CL CL NNP A33999 238 41 , , , A33999 238 42 but but CC A33999 238 43 in in IN A33999 238 44 the the DT A33999 238 45 third third JJ A33999 238 46 and and CC A33999 238 47 fourth fourth JJ A33999 238 48 figures figure NNS A33999 238 49 the the DT A33999 238 50 sides side NNS A33999 238 51 PC PC NNP A33999 238 52 , , , A33999 238 53 PL PL NNP A33999 238 54 of of IN A33999 238 55 the the DT A33999 238 56 Triangle Triangle NNP A33999 238 57 PCL PCL NNP A33999 238 58 are be VBP A33999 238 59 cut cut VBN A33999 238 60 Proportionally proportionally RB A33999 238 61 by by IN A33999 238 62 the the DT A33999 238 63 parallel parallel JJ A33999 238 64 BN BN NNP A33999 238 65 , , , A33999 238 66 and and CC A33999 238 67 as as IN A33999 238 68 before before RB A33999 238 69 , , , A33999 238 70 as as IN A33999 238 71 BC BC NNP A33999 238 72 : : : A33999 238 73 NL NL NNP A33999 238 74 ∷ ∷ NNP A33999 238 75 IC IC NNP A33999 238 76 : : : A33999 238 77 KL KL NNP A33999 238 78 , , , A33999 238 79 and and CC A33999 238 80 as as IN A33999 238 81 PC pc NN A33999 238 82 : : : A33999 238 83 PL PL NNP A33999 238 84 ∷ ∷ NNP A33999 238 85 BC BC NNP A33999 238 86 : : : A33999 238 87 NL NL NNP A33999 238 88 , , , A33999 238 89 therefore therefore RB A33999 238 90 PC pc NN A33999 238 91 : : : A33999 238 92 PL PL NNP A33999 238 93 ∷ ∷ NNP A33999 238 94 IC IC NNP A33999 238 95 : : : A33999 238 96 KL KL NNP A33999 238 97 , , , A33999 238 98 wherefore wherefore VBD A33999 238 99 IK IK NNP A33999 238 100 is be VBZ A33999 238 101 parallel parallel JJ A33999 238 102 to to IN A33999 238 103 CL CL NNP A33999 238 104 . . . A33999 239 1 Again again RB A33999 239 2 as as IN A33999 239 3 before before RB A33999 239 4 , , , A33999 239 5 BC BC NNP A33999 239 6 : : : A33999 239 7 NL NL NNP A33999 239 8 ∷ ∷ NNP A33999 239 9 IC IC NNP A33999 239 10 : : : A33999 239 11 KL KL NNP A33999 239 12 , , , A33999 239 13 But but CC A33999 239 14 CM CM NNP A33999 239 15 is be VBZ A33999 239 16 = = NFP A33999 239 17 IC IC NNP A33999 239 18 and and CC A33999 239 19 IG IG NNP A33999 239 20 is be VBZ A33999 239 21 = = , A33999 239 22 KL KL NNP A33999 239 23 , , , A33999 239 24 therefore therefore RB A33999 239 25 as as IN A33999 239 26 BC BC NNP A33999 239 27 : : : A33999 239 28 NL NL NNP A33999 239 29 ∷ ∷ NNP A33999 239 30 CM CM NNP A33999 239 31 : : : A33999 239 32 LG LG NNP A33999 239 33 , , , A33999 239 34 but but CC A33999 239 35 as as IN A33999 239 36 hath hath NNP A33999 239 37 been be VBN A33999 239 38 said say VBN A33999 239 39 , , , A33999 239 40 as as IN A33999 239 41 BC BC NNP A33999 239 42 : : : A33999 239 43 NL NL NNP A33999 239 44 ∷ ∷ NNP A33999 239 45 PC PC NNP A33999 239 46 : : : A33999 239 47 PL pl NN A33999 239 48 , , , A33999 239 49 therefore therefore RB A33999 239 50 as as IN A33999 239 51 PC pc NN A33999 239 52 : : : A33999 239 53 PL PL NNP A33999 239 54 ∷ ∷ NNP A33999 239 55 CM cm NN A33999 239 56 : : : A33999 239 57 LG LG NNP A33999 239 58 , , , A33999 239 59 wherefore wherefore VBD A33999 239 60 because because IN A33999 239 61 the the DT A33999 239 62 sides side NNS A33999 239 63 PM pm NN A33999 239 64 : : : A33999 239 65 PG PG NNP A33999 239 66 , , , A33999 239 67 of of IN A33999 239 68 the the DT A33999 239 69 Triangle Triangle NNP A33999 239 70 PMG PMG NNP A33999 239 71 are be VBP A33999 239 72 cut cut VBN A33999 239 73 proportionally proportionally RB A33999 239 74 in in IN A33999 239 75 C C NNP A33999 239 76 and and CC A33999 239 77 L L NNP A33999 239 78 , , , A33999 239 79 CL CL NNP A33999 239 80 and and CC A33999 239 81 MG MG NNP A33999 239 82 are be VBP A33999 239 83 parallel parallel JJ A33999 239 84 one one CD A33999 239 85 to to IN A33999 239 86 another another DT A33999 239 87 . . . A33999 240 1 Now now RB A33999 240 2 in in IN A33999 240 3 all all PDT A33999 240 4 the the DT A33999 240 5 three three CD A33999 240 6 figures figure NNS A33999 240 7 it -PRON- PRP A33999 240 8 hath hath NN A33999 240 9 been be VBN A33999 240 10 proved prove VBN A33999 240 11 that that IN A33999 240 12 IK IK NNP A33999 240 13 and and CC A33999 240 14 MG MG NNP A33999 240 15 are be VBP A33999 240 16 either either DT A33999 240 17 of of IN A33999 240 18 them -PRON- PRP A33999 240 19 parallel parallel JJ A33999 240 20 to to IN A33999 240 21 CL CL NNP A33999 240 22 , , , A33999 240 23 therefore therefore RB A33999 240 24 they -PRON- PRP A33999 240 25 are be VBP A33999 240 26 parallel parallel JJ A33999 240 27 one one CD A33999 240 28 to to IN A33999 240 29 another another DT A33999 240 30 , , , A33999 240 31 wherefore wherefore VBD A33999 240 32 the the DT A33999 240 33 Angle Angle NNP A33999 240 34 GMI GMI NNP A33999 240 35 is be VBZ A33999 240 36 equal equal JJ A33999 240 37 to to IN A33999 240 38 the the DT A33999 240 39 Angle Angle NNP A33999 240 40 KIB KIB NNP A33999 240 41 which which WDT A33999 240 42 before before RB A33999 240 43 was be VBD A33999 240 44 proved prove VBN A33999 240 45 to to TO A33999 240 46 be be VB A33999 240 47 equal equal JJ A33999 240 48 to to IN A33999 240 49 AMF AMF NNP A33999 240 50 , , , A33999 240 51 therefore therefore RB A33999 240 52 the the DT A33999 240 53 Angles Angles NNP A33999 240 54 GMI GMI NNP A33999 240 55 and and CC A33999 240 56 AMF AMF NNP A33999 240 57 are be VBP A33999 240 58 equal equal JJ A33999 240 59 one one NN A33999 240 60 to to IN A33999 240 61 another another DT A33999 240 62 , , , A33999 240 63 wherefore wherefore VBD A33999 240 64 FM FM NNP A33999 240 65 and and CC A33999 240 66 MG MG NNP A33999 240 67 is be VBZ A33999 240 68 one one CD A33999 240 69 and and CC A33999 240 70 the the DT A33999 240 71 same same JJ A33999 240 72 right right JJ A33999 240 73 line line NN A33999 240 74 which which WDT A33999 240 75 was be VBD A33999 240 76 to to TO A33999 240 77 be be VB A33999 240 78 proved prove VBN A33999 240 79 . . . A33999 241 1 To to TO A33999 241 2 draw draw VB A33999 241 3 an an DT A33999 241 4 East East NNP A33999 241 5 or or CC A33999 241 6 West West NNP A33999 241 7 Dyal Dyal NNP A33999 241 8 . . . A33999 242 1 Let let VB A33999 242 2 the the DT A33999 242 3 hour hour NN A33999 242 4 line line NN A33999 242 5 of of IN A33999 242 6 six six CD A33999 242 7 , , , A33999 242 8 which which WDT A33999 242 9 is be VBZ A33999 242 10 also also RB A33999 242 11 the the DT A33999 242 12 Substilar substilar JJ A33999 242 13 line line NN A33999 242 14 , , , A33999 242 15 make make VB A33999 242 16 an an DT A33999 242 17 Angle angle NN A33999 242 18 equal equal JJ A33999 242 19 to to IN A33999 242 20 the the DT A33999 242 21 Latitude Latitude NNP A33999 242 22 of of IN A33999 242 23 the the DT A33999 242 24 place place NN A33999 242 25 , , , A33999 242 26 with with IN A33999 242 27 the the DT A33999 242 28 Plains Plains NNPS A33999 242 29 Horizontal Horizontal NNP A33999 242 30 line line NN A33999 242 31 , , , A33999 242 32 above above IN A33999 242 33 that that DT A33999 242 34 end end NN A33999 242 35 of of IN A33999 242 36 it -PRON- PRP A33999 242 37 that that WDT A33999 242 38 points point VBZ A33999 242 39 to to IN A33999 242 40 the the DT A33999 242 41 Coast Coast NNP A33999 242 42 of of IN A33999 242 43 the the DT A33999 242 44 elevated elevated JJ A33999 242 45 Pole Pole NNP A33999 242 46 , , , A33999 242 47 then then RB A33999 242 48 draw draw VB A33999 242 49 a a DT A33999 242 50 line line NN A33999 242 51 perpendicular perpendicular JJ A33999 242 52 to to IN A33999 242 53 the the DT A33999 242 54 Substilar substilar JJ A33999 242 55 line line NN A33999 242 56 , , , A33999 242 57 which which WDT A33999 242 58 some some DT A33999 242 59 call call VBP A33999 242 60 a a DT A33999 242 61 Contingent contingent JJ A33999 242 62 line line NN A33999 242 63 , , , A33999 242 64 and and CC A33999 242 65 with with IN A33999 242 66 such such PDT A33999 242 67 a a DT A33999 242 68 Radius Radius NNP A33999 242 69 as as IN A33999 242 70 you -PRON- PRP A33999 242 71 determine determine VBP A33999 242 72 the the DT A33999 242 73 Stile Stile NNP A33999 242 74 shall shall MD A33999 242 75 have have VB A33999 242 76 parallel parallel JJ A33999 242 77 height height NN A33999 242 78 above above IN A33999 242 79 the the DT A33999 242 80 Substile Substile NNP A33999 242 81 : : : A33999 242 82 divide divide VB A33999 242 83 a a DT A33999 242 84 Tangent tangent JJ A33999 242 85 line line NN A33999 242 86 of of IN A33999 242 87 hours hour NNS A33999 242 88 and and CC A33999 242 89 quarters quarter NNS A33999 242 90 according accord VBG A33999 242 91 to to IN A33999 242 92 the the DT A33999 242 93 direction direction NN A33999 242 94 for for IN A33999 242 95 direct direct JJ A33999 242 96 Polar Polar NNP A33999 242 97 Recliners Recliners NNPS A33999 242 98 , , , A33999 242 99 then then RB A33999 242 100 through through IN A33999 242 101 those those DT A33999 242 102 divisions division NNS A33999 242 103 draw draw VBP A33999 242 104 lines line NNS A33999 242 105 parallel parallel JJ A33999 242 106 to to IN A33999 242 107 the the DT A33999 242 108 Substile Substile NNP A33999 242 109 and and CC A33999 242 110 they -PRON- PRP A33999 242 111 shall shall MD A33999 242 112 be be VB A33999 242 113 the the DT A33999 242 114 hour hour NN A33999 242 115 lines line NNS A33999 242 116 required require VBN A33999 242 117 ; ; : A33999 242 118 thus thus RB A33999 242 119 the the DT A33999 242 120 hours hour NNS A33999 242 121 of of IN A33999 242 122 5 5 CD A33999 242 123 and and CC A33999 242 124 7 7 CD A33999 242 125 , , , A33999 242 126 are be VBP A33999 242 127 each each DT A33999 242 128 of of IN A33999 242 129 them -PRON- PRP A33999 242 130 Tangents tangent NNS A33999 242 131 of of IN A33999 242 132 15d 15d CD A33999 242 133 from from IN A33999 242 134 six six CD A33999 242 135 , , , A33999 242 136 and and CC A33999 242 137 so so RB A33999 242 138 for for IN A33999 242 139 the the DT A33999 242 140 rest rest NN A33999 242 141 , , , A33999 242 142 let let VB A33999 242 143 them -PRON- PRP A33999 242 144 be be VB A33999 242 145 numbred numbre VBN A33999 242 146 on on IN A33999 242 147 each each DT A33999 242 148 side side NN A33999 242 149 of of IN A33999 242 150 six six CD A33999 242 151 ( ( -LRB- A33999 242 152 being be VBG A33999 242 153 the the DT A33999 242 154 Substile Substile NNP A33999 242 155 ) ) -RRB- A33999 242 156 for for IN A33999 242 157 an an DT A33999 242 158 East East NNP A33999 242 159 dyal dyal NN A33999 242 160 with with IN A33999 242 161 the the DT A33999 242 162 morning morning NN A33999 242 163 hours hour NNS A33999 242 164 , , , A33999 242 165 for for IN A33999 242 166 a a DT A33999 242 167 West West NNP A33999 242 168 dyal dyal NN A33999 242 169 with with IN A33999 242 170 the the DT A33999 242 171 afternoon afternoon NN A33999 242 172 hours hour NNS A33999 242 173 , , , A33999 242 174 the the DT A33999 242 175 one one NN A33999 242 176 being be VBG A33999 242 177 the the DT A33999 242 178 complement complement NN A33999 242 179 of of IN A33999 242 180 the the DT A33999 242 181 other other JJ A33999 242 182 to to TO A33999 242 183 12 12 CD A33999 242 184 hours hour NNS A33999 242 185 , , , A33999 242 186 and and CC A33999 242 187 therefore therefore RB A33999 242 188 we -PRON- PRP A33999 242 189 have have VBP A33999 242 190 but but CC A33999 242 191 one one CD A33999 242 192 example example NN A33999 242 193 , , , A33999 242 194 namely namely RB A33999 242 195 an an DT A33999 242 196 East East NNP A33999 242 197 dyal dyal NN A33999 242 198 for for IN A33999 242 199 the the DT A33999 242 200 Latitude Latitude NNP A33999 242 201 of of IN A33999 242 202 London London NNP A33999 242 203 . . . A33999 243 1 How how WRB A33999 243 2 to to TO A33999 243 3 fill fill VB A33999 243 4 this this DT A33999 243 5 or or CC A33999 243 6 any any DT A33999 243 7 other other JJ A33999 243 8 Plain Plain NNP A33999 243 9 , , , A33999 243 10 with with IN A33999 243 11 any any DT A33999 243 12 determined determined JJ A33999 243 13 number number NN A33999 243 14 of of IN A33999 243 15 hours hour NNS A33999 243 16 , , , A33999 243 17 shall shall MD A33999 243 18 afterwards afterwards RB A33999 243 19 be be VB A33999 243 20 handled handle VBN A33999 243 21 . . . A33999 244 1 A a DT A33999 244 2 West West NNP A33999 244 3 Diall Diall NNP A33999 244 4 Reclining Reclining NNP A33999 244 5 50d 50d NNPS A33999 244 6 Latitude Latitude NNP A33999 244 7 51 51 CD A33999 244 8 - - SYM A33999 244 9 32′ 32′ CD A33999 244 10 An An NNP A33999 244 11 East East NNP A33999 244 12 Diall Diall NNP A33999 244 13 Inclining Inclining NNP A33999 244 14 40d 40d CD A33999 244 15 Latitude Latitude NNP A33999 244 16 50d 50d NNS A33999 244 17 To to TO A33999 244 18 prick prick VB A33999 244 19 off off RP A33999 244 20 the the DT A33999 244 21 requisites requisite NNS A33999 244 22 of of IN A33999 244 23 an an DT A33999 244 24 East East NNP A33999 244 25 or or CC A33999 244 26 West West NNP A33999 244 27 Reclining Reclining NNP A33999 244 28 or or CC A33999 244 29 Inclining incline VBG A33999 244 30 Dyal Dyal NNP A33999 244 31 in in IN A33999 244 32 their -PRON- PRP$ A33999 244 33 true true JJ A33999 244 34 Scituation scituation NN A33999 244 35 and and CC A33999 244 36 quantity quantity NN A33999 244 37 . . . A33999 245 1 In in IN A33999 245 2 these these DT A33999 245 3 Plains Plains NNPS A33999 245 4 , , , A33999 245 5 first first RB A33999 245 6 draw draw VB A33999 245 7 the the DT A33999 245 8 Plains Plains NNPS A33999 245 9 perpendicular perpendicular NN A33999 245 10 , , , A33999 245 11 and and CC A33999 245 12 cross cross VB A33999 245 13 it -PRON- PRP A33999 245 14 with with IN A33999 245 15 a a DT A33999 245 16 Horizontal horizontal JJ A33999 245 17 line line NN A33999 245 18 , , , A33999 245 19 which which WDT A33999 245 20 is be VBZ A33999 245 21 also also RB A33999 245 22 the the DT A33999 245 23 Meridian meridian JJ A33999 245 24 line line NN A33999 245 25 ; ; : A33999 245 26 in in IN A33999 245 27 any any DT A33999 245 28 one one CD A33999 245 29 of of IN A33999 245 30 the the DT A33999 245 31 quarters quarter NNS A33999 245 32 , , , A33999 245 33 make make VB A33999 245 34 a a DT A33999 245 35 Geometrical Geometrical NNP A33999 245 36 square square NN A33999 245 37 , , , A33999 245 38 as as IN A33999 245 39 before before IN A33999 245 40 directed direct VBN A33999 245 41 for for IN A33999 245 42 upright upright JJ A33999 245 43 decliners decliner NNS A33999 245 44 , , , A33999 245 45 and and CC A33999 245 46 from from IN A33999 245 47 the the DT A33999 245 48 Plains Plains NNPS A33999 245 49 Vertical Vertical NNP A33999 245 50 in in IN A33999 245 51 the the DT A33999 245 52 said say VBN A33999 245 53 quarter quarter NN A33999 245 54 , , , A33999 245 55 count count VB A33999 245 56 off off RP A33999 245 57 the the DT A33999 245 58 Latitude Latitude NNP A33999 245 59 to to IN A33999 245 60 L L NNP A33999 245 61 , , , A33999 245 62 and and CC A33999 245 63 from from IN A33999 245 64 the the DT A33999 245 65 Horizontal horizontal JJ A33999 245 66 line line NN A33999 245 67 in in IN A33999 245 68 the the DT A33999 245 69 said say VBN A33999 245 70 quarter quarter NN A33999 245 71 count count NN A33999 245 72 off off IN A33999 245 73 the the DT A33999 245 74 Reclination Reclination NNP A33999 245 75 or or CC A33999 245 76 Inclination inclination NN A33999 245 77 to to IN A33999 245 78 R r NN A33999 245 79 , , , A33999 245 80 and and CC A33999 245 81 from from IN A33999 245 82 L L NNP A33999 245 83 and and CC A33999 245 84 R r NN A33999 245 85 , , , A33999 245 86 draw draw VB A33999 245 87 lines line NNS A33999 245 88 into into IN A33999 245 89 the the DT A33999 245 90 Center Center NNP A33999 245 91 , , , A33999 245 92 and and CC A33999 245 93 where where WRB A33999 245 94 the the DT A33999 245 95 Latitude Latitude NNP A33999 245 96 line line NN A33999 245 97 intersects intersect VBZ A33999 245 98 the the DT A33999 245 99 side side NN A33999 245 100 of of IN A33999 245 101 the the DT A33999 245 102 square square NN A33999 245 103 , , , A33999 245 104 set set VBN A33999 245 105 F. F. NNP A33999 245 106 1 1 CD A33999 245 107 . . . A33999 246 1 To to TO A33999 246 2 prick prick VB A33999 246 3 off off RP A33999 246 4 the the DT A33999 246 5 Substile Substile NNP A33999 246 6 . . . A33999 247 1 For for IN A33999 247 2 Latitudes Latitudes NNPS A33999 247 3 above above IN A33999 247 4 45d 45d CD A33999 247 5 place place NN A33999 247 6 BF BF NNP A33999 247 7 from from IN A33999 247 8 V V NNP A33999 247 9 the the DT A33999 247 10 Center Center NNP A33999 247 11 in in IN A33999 247 12 the the DT A33999 247 13 Horizontal horizontal JJ A33999 247 14 line line NN A33999 247 15 for for IN A33999 247 16 Recliners Recliners NNPS A33999 247 17 Northwards Northwards NNPS A33999 247 18 , , , A33999 247 19 for for IN A33999 247 20 Incliners Incliners NNPS A33999 247 21 Southwards Southwards NNP A33999 247 22 , , , A33999 247 23 and and CC A33999 247 24 thereto thereto NNP A33999 247 25 set set VBN A33999 247 26 O o NN A33999 247 27 , , , A33999 247 28 and and CC A33999 247 29 through through IN A33999 247 30 the the DT A33999 247 31 said say VBN A33999 247 32 point point NN A33999 247 33 , , , A33999 247 34 draw draw VB A33999 247 35 a a DT A33999 247 36 line line NN A33999 247 37 parallel parallel JJ A33999 247 38 to to IN A33999 247 39 the the DT A33999 247 40 Vertical Vertical NNP A33999 247 41 , , , A33999 247 42 and and CC A33999 247 43 place place VB A33999 247 44 the the DT A33999 247 45 nearest near JJS A33999 247 46 distance distance NN A33999 247 47 from from IN A33999 247 48 A a NN A33999 247 49 to to IN A33999 247 50 RV RV NNP A33999 247 51 on on IN A33999 247 52 the the DT A33999 247 53 former former JJ A33999 247 54 parallel parallel NN A33999 247 55 , , , A33999 247 56 from from IN A33999 247 57 O o NN A33999 247 58 for for IN A33999 247 59 Recliners recliner NNS A33999 247 60 upwards upwards RB A33999 247 61 to to IN A33999 247 62 I -PRON- PRP A33999 247 63 , , , A33999 247 64 but but CC A33999 247 65 for for IN A33999 247 66 Incliners incliner NNS A33999 247 67 downwards downwards RB A33999 247 68 , , , A33999 247 69 and and CC A33999 247 70 a a DT A33999 247 71 line line NN A33999 247 72 thence thence NN A33999 247 73 drawn draw VBN A33999 247 74 into into IN A33999 247 75 the the DT A33999 247 76 Center Center NNP A33999 247 77 , , , A33999 247 78 shall shall MD A33999 247 79 be be VB A33999 247 80 the the DT A33999 247 81 Substile Substile NNP A33999 247 82 . . . A33999 248 1 2 2 LS A33999 248 2 . . . A33999 249 1 The the DT A33999 249 2 Stiles Stiles NNP A33999 249 3 height height NN A33999 249 4 . . . A33999 250 1 Place place VB A33999 250 2 the the DT A33999 250 3 nearest near JJS A33999 250 4 distance distance NN A33999 250 5 from from IN A33999 250 6 B b NN A33999 250 7 to to IN A33999 250 8 RV RV NNP A33999 250 9 on on IN A33999 250 10 a a DT A33999 250 11 perdendicular perdendicular NN A33999 250 12 raised raise VBN A33999 250 13 from from IN A33999 250 14 the the DT A33999 250 15 point point NN A33999 250 16 I -PRON- PRP A33999 250 17 in in IN A33999 250 18 the the DT A33999 250 19 Substile Substile NNP A33999 250 20 , , , A33999 250 21 and and CC A33999 250 22 it -PRON- PRP A33999 250 23 findes find VBZ A33999 250 24 the the DT A33999 250 25 Point Point NNP A33999 250 26 K K NNP A33999 250 27 , , , A33999 250 28 whence whence NN A33999 250 29 a a DT A33999 250 30 line line NN A33999 250 31 drawn draw VBN A33999 250 32 into into IN A33999 250 33 the the DT A33999 250 34 Center Center NNP A33999 250 35 , , , A33999 250 36 shall shall MD A33999 250 37 represent represent VB A33999 250 38 the the DT A33999 250 39 Stile Stile NNP A33999 250 40 . . . A33999 251 1 In in IN A33999 251 2 the the DT A33999 251 3 other other JJ A33999 251 4 Hemisphere Hemisphere NNP A33999 251 5 the the DT A33999 251 6 words word NNS A33999 251 7 Northwards Northwards NNPS A33999 251 8 and and CC A33999 251 9 Southwards Southwards NNP A33999 251 10 , , , A33999 251 11 must must MD A33999 251 12 be be VB A33999 251 13 mutually mutually RB A33999 251 14 changed change VBN A33999 251 15 . . . A33999 252 1 For for IN A33999 252 2 Latitudes Latitudes NNPS A33999 252 3 under under IN A33999 252 4 45′ 45′ CD A33999 252 5 The the DT A33999 252 6 side side NN A33999 252 7 of of IN A33999 252 8 the the DT A33999 252 9 square square NN A33999 252 10 must must MD A33999 252 11 be be VB A33999 252 12 placed place VBN A33999 252 13 from from IN A33999 252 14 V v NN A33999 252 15 to to IN A33999 252 16 O o NN A33999 252 17 and and CC A33999 252 18 AF AF NNP A33999 252 19 must must MD A33999 252 20 be be VB A33999 252 21 placed place VBN A33999 252 22 on on IN A33999 252 23 the the DT A33999 252 24 line line NN A33999 252 25 of of IN A33999 252 26 Reclination reclination NN A33999 252 27 or or CC A33999 252 28 Inclination Inclination NNP A33999 252 29 from from IN A33999 252 30 V V NNP A33999 252 31 to to IN A33999 252 32 C C NNP A33999 252 33 , , , A33999 252 34 the the DT A33999 252 35 nearest near JJS A33999 252 36 distance distance NN A33999 252 37 from from IN A33999 252 38 C C NNP A33999 252 39 to to IN A33999 252 40 VA VA NNP A33999 252 41 placed place VBN A33999 252 42 on on IN A33999 252 43 the the DT A33999 252 44 perpendicular perpendicular NN A33999 252 45 , , , A33999 252 46 passing pass VBG A33999 252 47 through through IN A33999 252 48 O o NN A33999 252 49 for for IN A33999 252 50 Recliners recliner NNS A33999 252 51 upwards upwards RB A33999 252 52 , , , A33999 252 53 but but CC A33999 252 54 for for IN A33999 252 55 Incliners incliner NNS A33999 252 56 downwards downwards RB A33999 252 57 , , , A33999 252 58 findes find VBZ A33999 252 59 the the DT A33999 252 60 Point Point NNP A33999 252 61 I -PRON- PRP A33999 252 62 , , , A33999 252 63 through through IN A33999 252 64 which which WDT A33999 252 65 the the DT A33999 252 66 Substile Substile NNP A33999 252 67 is be VBZ A33999 252 68 to to TO A33999 252 69 pass pass VB A33999 252 70 , , , A33999 252 71 and and CC A33999 252 72 the the DT A33999 252 73 nearest near JJS A33999 252 74 distance distance NN A33999 252 75 from from IN A33999 252 76 C C NNP A33999 252 77 to to IN A33999 252 78 VB VB NNP A33999 252 79 raised raise VBD A33999 252 80 perpendicularly perpendicularly RB A33999 252 81 on on IN A33999 252 82 the the DT A33999 252 83 point point NN A33999 252 84 I -PRON- PRP A33999 252 85 in in IN A33999 252 86 the the DT A33999 252 87 Substile Substile NNP A33999 252 88 , , , A33999 252 89 findes find VBZ A33999 252 90 the the DT A33999 252 91 point point NN A33999 252 92 K k NN A33999 252 93 for for IN A33999 252 94 the the DT A33999 252 95 Stile Stile NNP A33999 252 96 , , , A33999 252 97 as as IN A33999 252 98 before before RB A33999 252 99 . . . A33999 253 1 Demonstration demonstration NN A33999 253 2 . . . A33999 254 1 1 1 LS A33999 254 2 . . . A33999 255 1 For for IN A33999 255 2 the the DT A33999 255 3 Substile Substile NNP A33999 255 4 . . . A33999 256 1 In in IN A33999 256 2 these these DT A33999 256 3 Plains Plains NNPS A33999 256 4 VB VB NNP A33999 256 5 or or CC A33999 256 6 VA VA NNP A33999 256 7 being be VBG A33999 256 8 Radius Radius NNP A33999 256 9 FB FB NNP A33999 256 10 is be VBZ A33999 256 11 the the DT A33999 256 12 Contangent Contangent NNP A33999 256 13 of of IN A33999 256 14 the the DT A33999 256 15 Latitude Latitude NNP A33999 256 16 and and CC A33999 256 17 the the DT A33999 256 18 nearest near JJS A33999 256 19 distance distance NN A33999 256 20 from from IN A33999 256 21 A a NN A33999 256 22 to to IN A33999 256 23 RV RV NNP A33999 256 24 , , , A33999 256 25 is be VBZ A33999 256 26 the the DT A33999 256 27 Cosine Cosine NNP A33999 256 28 of of IN A33999 256 29 Reclination Reclination NNP A33999 256 30 or or CC A33999 256 31 Inclination Inclination NNP A33999 256 32 to to IN A33999 256 33 the the DT A33999 256 34 same same JJ A33999 256 35 Radius Radius NNP A33999 256 36 , , , A33999 256 37 and and CC A33999 256 38 the the DT A33999 256 39 nearest near JJS A33999 256 40 distance distance NN A33999 256 41 from from IN A33999 256 42 B b NN A33999 256 43 to to IN A33999 256 44 RV RV NNP A33999 256 45 , , , A33999 256 46 the the DT A33999 256 47 Sine Sine NNP A33999 256 48 thereof thereof RB A33999 256 49 ; ; : A33999 256 50 this this DT A33999 256 51 for for IN A33999 256 52 Latitudes Latitudes NNP A33999 256 53 above above IN A33999 256 54 45 45 CD A33999 256 55 , , , A33999 256 56 but but CC A33999 256 57 for for IN A33999 256 58 lesser less JJR A33999 256 59 Latitudes Latitudes NNP A33999 256 60 . . . A33999 257 1 AF AF NNP A33999 257 2 the the DT A33999 257 3 Tangent Tangent NNP A33999 257 4 of of IN A33999 257 5 the the DT A33999 257 6 Latitude Latitude NNP A33999 257 7 was be VBD A33999 257 8 made make VBN A33999 257 9 Radius Radius NNP A33999 257 10 , , , A33999 257 11 and and CC A33999 257 12 thereupon thereupon IN A33999 257 13 the the DT A33999 257 14 Radius Radius NNP A33999 257 15 or or CC A33999 257 16 side side NN A33999 257 17 of of IN A33999 257 18 the the DT A33999 257 19 square square NN A33999 257 20 be be NN A33999 257 21 - - , A33999 257 22 became become VBD A33999 257 23 the the DT A33999 257 24 Cotangent Cotangent NNP A33999 257 25 of of IN A33999 257 26 the the DT A33999 257 27 Latitude Latitude NNP A33999 257 28 , , , A33999 257 29 and and CC A33999 257 30 the the DT A33999 257 31 nearest near JJS A33999 257 32 distance distance NN A33999 257 33 from from IN A33999 257 34 C C NNP A33999 257 35 to to IN A33999 257 36 VA VA NNP A33999 257 37 was be VBD A33999 257 38 the the DT A33999 257 39 Cosine Cosine NNP A33999 257 40 , , , A33999 257 41 and and CC A33999 257 42 from from IN A33999 257 43 C C NNP A33999 257 44 to to IN A33999 257 45 VB VB NNP A33999 257 46 the the DT A33999 257 47 Sine Sine NNP A33999 257 48 of of IN A33999 257 49 the the DT A33999 257 50 Reclination Reclination NNP A33999 257 51 or or CC A33999 257 52 Inclination Inclination NNP A33999 257 53 , , , A33999 257 54 so so IN A33999 257 55 that that IN A33999 257 56 the the DT A33999 257 57 prescribed prescribed JJ A33999 257 58 Construction construction NN A33999 257 59 in in IN A33999 257 60 both both DT A33999 257 61 cases case NNS A33999 257 62 erects erect VBZ A33999 257 63 the the DT A33999 257 64 Cosine Cosine NNP A33999 257 65 of of IN A33999 257 66 the the DT A33999 257 67 Re Re NNP A33999 257 68 - - HYPH A33999 257 69 Inclination Inclination NNP A33999 257 70 on on IN A33999 257 71 the the DT A33999 257 72 Cotangent Cotangent NNP A33999 257 73 of of IN A33999 257 74 the the DT A33999 257 75 Latitude Latitude NNP A33999 257 76 , , , A33999 257 77 which which WDT A33999 257 78 is be VBZ A33999 257 79 made make VBN A33999 257 80 good good JJ A33999 257 81 from from IN A33999 257 82 this this DT A33999 257 83 proportion proportion NN A33999 257 84 . . . A33999 258 1 As as IN A33999 258 2 the the DT A33999 258 3 Cotangent Cotangent NNP A33999 258 4 of of IN A33999 258 5 the the DT A33999 258 6 Latitude Latitude NNP A33999 258 7 Is be VBZ A33999 258 8 to to IN A33999 258 9 the the DT A33999 258 10 Cosine Cosine NNP A33999 258 11 of of IN A33999 258 12 the the DT A33999 258 13 Re Re NNP A33999 258 14 - - NN A33999 258 15 Inclination Inclination NNP A33999 258 16 from from IN A33999 258 17 the the DT A33999 258 18 Zenith Zenith NNP A33999 258 19 So so RB A33999 258 20 is be VBZ A33999 258 21 the the DT A33999 258 22 Radius radius NN A33999 258 23 : : : A33999 258 24 To to IN A33999 258 25 the the DT A33999 258 26 tangent tangent NN A33999 258 27 of of IN A33999 258 28 the the DT A33999 258 29 Substilar Substilar NNP A33999 258 30 from from IN A33999 258 31 the the DT A33999 258 32 Meridian Meridian NNP A33999 258 33 . . . A33999 259 1 2 2 LS A33999 259 2 . . . A33999 260 1 For for IN A33999 260 2 the the DT A33999 260 3 Stile Stile NNP A33999 260 4 . . . A33999 261 1 A a DT A33999 261 2 proportion proportion NN A33999 261 3 that that WDT A33999 261 4 will will MD A33999 261 5 serve serve VB A33999 261 6 to to TO A33999 261 7 prick prick VB A33999 261 8 it -PRON- PRP A33999 261 9 off off RP A33999 261 10 , , , A33999 261 11 is be VBZ A33999 261 12 , , , A33999 261 13 As as IN A33999 261 14 the the DT A33999 261 15 Cosecant Cosecant NNP A33999 261 16 of of IN A33999 261 17 the the DT A33999 261 18 Latitude Latitude NNP A33999 261 19 , , , A33999 261 20 is be VBZ A33999 261 21 to to IN A33999 261 22 the the DT A33999 261 23 Sine Sine NNP A33999 261 24 of of IN A33999 261 25 the the DT A33999 261 26 Re Re NNP A33999 261 27 - - HYPH A33999 261 28 Inclination Inclination NNP A33999 261 29 , , , A33999 261 30 So so RB A33999 261 31 is be VBZ A33999 261 32 the the DT A33999 261 33 Radius radius NN A33999 261 34 : : : A33999 261 35 To to IN A33999 261 36 the the DT A33999 261 37 Sine Sine NNP A33999 261 38 of of IN A33999 261 39 the the DT A33999 261 40 Stiles Stiles NNP A33999 261 41 height height NN A33999 261 42 . . . A33999 262 1 page page NN A33999 262 2 25 25 CD A33999 262 3 A a DT A33999 262 4 West West NNP A33999 262 5 Diall Diall NNP A33999 262 6 Reclining Reclining NNP A33999 262 7 50d 50d NNPS A33999 262 8 Latitude latitude NN A33999 262 9 51 51 CD A33999 262 10 32′ 32′ CD A33999 262 11 A a DT A33999 262 12 South south JJ A33999 262 13 Plaine Plaine NNP A33999 262 14 Declining Declining NNP A33999 262 15 40d 40d NNPS A33999 262 16 East East NNP A33999 262 17 Inclining incline VBG A33999 262 18 15 15 CD A33999 262 19 deg deg NN A33999 262 20 A a DT A33999 262 21 West West NNP A33999 262 22 Plain Plain NNP A33999 262 23 , , , A33999 262 24 Reclining recline VBG A33999 262 25 50 50 CD A33999 262 26 degrees degree NNS A33999 262 27 , , , A33999 262 28 Latitude Latitude NNP A33999 262 29 51 51 CD A33999 262 30 degrees degree NNS A33999 262 31 , , , A33999 262 32 32 32 CD A33999 262 33 minutes minute NNS A33999 262 34 . . . A33999 263 1 The the DT A33999 263 2 Point Point NNP A33999 263 3 Sol Sol NNP A33999 263 4 , , , A33999 263 5 Substile Substile NNP A33999 263 6 , , , A33999 263 7 Stile Stile NNP A33999 263 8 , , , A33999 263 9 and and CC A33999 263 10 hour hour NN A33999 263 11 - - HYPH A33999 263 12 lines line NNS A33999 263 13 , , , A33999 263 14 are be VBP A33999 263 15 all all DT A33999 263 16 found find VBN A33999 263 17 after after IN A33999 263 18 the the DT A33999 263 19 same same JJ A33999 263 20 manner manner NN A33999 263 21 as as IN A33999 263 22 in in IN A33999 263 23 an an DT A33999 263 24 upright upright JJ A33999 263 25 Decliner Decliner NNP A33999 263 26 , , , A33999 263 27 the the DT A33999 263 28 Substile Substile NNP A33999 263 29 being be VBG A33999 263 30 set set VBN A33999 263 31 off off RP A33999 263 32 from from IN A33999 263 33 the the DT A33999 263 34 Meridian meridian JJ A33999 263 35 line line NN A33999 263 36 here here RB A33999 263 37 , , , A33999 263 38 after after IN A33999 263 39 the the DT A33999 263 40 same same JJ A33999 263 41 manner manner NN A33999 263 42 as as IN A33999 263 43 it -PRON- PRP A33999 263 44 was be VBD A33999 263 45 from from IN A33999 263 46 the the DT A33999 263 47 Meridian Meridian NNP A33999 263 48 there there RB A33999 263 49 . . . A33999 264 1 A a DT A33999 264 2 South South NNP A33999 264 3 Plain Plain NNP A33999 264 4 Declining Declining NNP A33999 264 5 East East NNP A33999 264 6 40 40 CD A33999 264 7 degrees degree NNS A33999 264 8 , , , A33999 264 9 Inclining incline VBG A33999 264 10 20 20 CD A33999 264 11 degrees degree NNS A33999 264 12 , , , A33999 264 13 Latitude Latitude NNP A33999 264 14 , , , A33999 264 15 51 51 CD A33999 264 16 degrees degree NNS A33999 264 17 , , , A33999 264 18 32 32 CD A33999 264 19 minutes minute NNS A33999 264 20 . . . A33999 265 1 To to TO A33999 265 2 prick prick VB A33999 265 3 off off RP A33999 265 4 the the DT A33999 265 5 Requisites Requisites NNPS A33999 265 6 in in IN A33999 265 7 all all DT A33999 265 8 Declining Declining NNP A33999 265 9 , , , A33999 265 10 Reclining reclining NN A33999 265 11 , , , A33999 265 12 and and CC A33999 265 13 Incliing inclie VBG A33999 265 14 Plains Plains NNPS A33999 265 15 in in IN A33999 265 16 their -PRON- PRP$ A33999 265 17 true true JJ A33999 265 18 Coast coast NN A33999 265 19 and and CC A33999 265 20 quantity quantity NN A33999 265 21 . . . A33999 266 1 Now now RB A33999 266 2 followeth followeth JJ A33999 266 3 those those DT A33999 266 4 Directions Directions NNPS A33999 266 5 inlarged inlarge VBD A33999 266 6 , , , A33999 266 7 which which WDT A33999 266 8 as as IN A33999 266 9 I -PRON- PRP A33999 266 10 said say VBD A33999 266 11 in in IN A33999 266 12 the the DT A33999 266 13 Epistle Epistle NNP A33999 266 14 , , , A33999 266 15 I -PRON- PRP A33999 266 16 received receive VBD A33999 266 17 from from IN A33999 266 18 Mr. Mr. NNP A33999 266 19 Thomas Thomas NNP A33999 266 20 Rice Rice NNP A33999 266 21 . . . A33999 267 1 UPon upon IN A33999 267 2 any any DT A33999 267 3 Plain Plain NNP A33999 267 4 first first RB A33999 267 5 draw draw VBP A33999 267 6 a a DT A33999 267 7 true true JJ A33999 267 8 Horizontal horizontal JJ A33999 267 9 line line NN A33999 267 10 , , , A33999 267 11 at at IN A33999 267 12 the the DT A33999 267 13 East East NNP A33999 267 14 end end NN A33999 267 15 thereof thereof RB A33999 267 16 set set VBN A33999 267 17 E E NNS A33999 267 18 , , , A33999 267 19 and and CC A33999 267 20 at at IN A33999 267 21 the the DT A33999 267 22 West West NNP A33999 267 23 end end NN A33999 267 24 W W NNP A33999 267 25 , , , A33999 267 26 cross cross VB A33999 267 27 the the DT A33999 267 28 said said JJ A33999 267 29 line line NN A33999 267 30 with with IN A33999 267 31 a a DT A33999 267 32 perpendicular perpendicular NN A33999 267 33 , , , A33999 267 34 which which WDT A33999 267 35 may may MD A33999 267 36 be be VB A33999 267 37 called call VBN A33999 267 38 the the DT A33999 267 39 Plains Plains NNPS A33999 267 40 perpendicular perpendicular JJ A33999 267 41 , , , A33999 267 42 by by IN A33999 267 43 some some DT A33999 267 44 termed term VBN A33999 267 45 the the DT A33999 267 46 Plains Plains NNP A33999 267 47 Vertical vertical JJ A33999 267 48 line line NN A33999 267 49 , , , A33999 267 50 or or CC A33999 267 51 line line NN A33999 267 52 of of IN A33999 267 53 Reclination reclination NN A33999 267 54 , , , A33999 267 55 at at IN A33999 267 56 the the DT A33999 267 57 intersection intersection NN A33999 267 58 of of IN A33999 267 59 these these DT A33999 267 60 two two CD A33999 267 61 lines line NNS A33999 267 62 set set VBD A33999 267 63 V v NN A33999 267 64 , , , A33999 267 65 and and CC A33999 267 66 upon upon IN A33999 267 67 it -PRON- PRP A33999 267 68 as as IN A33999 267 69 a a DT A33999 267 70 Center Center NNP A33999 267 71 describe describe VBP A33999 267 72 a a DT A33999 267 73 Circle Circle NNP A33999 267 74 ( ( -LRB- A33999 267 75 the the DT A33999 267 76 Radius Radius NNP A33999 267 77 whereof whereof NN A33999 267 78 may may MD A33999 267 79 be be VB A33999 267 80 equal equal JJ A33999 267 81 to to IN A33999 267 82 60d 60d NNS A33999 267 83 of of IN A33999 267 84 a a DT A33999 267 85 line line NN A33999 267 86 of of IN A33999 267 87 Chords Chords NNPS A33999 267 88 ) ) -RRB- A33999 267 89 at at IN A33999 267 90 the the DT A33999 267 91 upper upper JJ A33999 267 92 end end NN A33999 267 93 of of IN A33999 267 94 the the DT A33999 267 95 Vertical vertical JJ A33999 267 96 line line NN A33999 267 97 set set VBN A33999 267 98 S S NNP A33999 267 99 , , , A33999 267 100 and and CC A33999 267 101 at at IN A33999 267 102 the the DT A33999 267 103 lower low JJR A33999 267 104 end end NN A33999 267 105 N. N. NNP A33999 267 106 As as IN A33999 267 107 the the DT A33999 267 108 Declination Declination NNP A33999 267 109 is be VBZ A33999 267 110 , , , A33999 267 111 set set VB A33999 267 112 it -PRON- PRP A33999 267 113 off off RP A33999 267 114 with with IN A33999 267 115 Chords Chords NNPS A33999 267 116 from from IN A33999 267 117 S S NNP A33999 267 118 or or CC A33999 267 119 N N NNP A33999 267 120 towards towards IN A33999 267 121 the the DT A33999 267 122 true true JJ A33999 267 123 Coast Coast NNP A33999 267 124 , , , A33999 267 125 and and CC A33999 267 126 at at IN A33999 267 127 it -PRON- PRP A33999 267 128 set set VBD A33999 267 129 D d NN A33999 267 130 , , , A33999 267 131 from from IN A33999 267 132 whence whence NN A33999 267 133 draw draw VB A33999 267 134 a a DT A33999 267 135 line line NN A33999 267 136 through through IN A33999 267 137 the the DT A33999 267 138 Center Center NNP A33999 267 139 ; ; : A33999 267 140 also also RB A33999 267 141 set set VBD A33999 267 142 off off RP A33999 267 143 the the DT A33999 267 144 Latitude Latitude NNP A33999 267 145 of of IN A33999 267 146 the the DT A33999 267 147 place place NN A33999 267 148 the the DT A33999 267 149 same same JJ A33999 267 150 way way NN A33999 267 151 and and CC A33999 267 152 in in IN A33999 267 153 the the DT A33999 267 154 same same JJ A33999 267 155 quarter quarter NN A33999 267 156 , , , A33999 267 157 and and CC A33999 267 158 at at IN A33999 267 159 it -PRON- PRP A33999 267 160 set set VBD A33999 267 161 L L NNP A33999 267 162 , , , A33999 267 163 from from IN A33999 267 164 which which WDT A33999 267 165 draw draw VBP A33999 267 166 a a DT A33999 267 167 line line NN A33999 267 168 to to IN A33999 267 169 the the DT A33999 267 170 Center Center NNP A33999 267 171 . . . A33999 268 1 From from IN A33999 268 2 that that DT A33999 268 3 end end NN A33999 268 4 of of IN A33999 268 5 the the DT A33999 268 6 Horizontal horizontal JJ A33999 268 7 line line NN A33999 268 8 , , , A33999 268 9 towards towards IN A33999 268 10 which which WDT A33999 268 11 the the DT A33999 268 12 declination declination NN A33999 268 13 was be VBD A33999 268 14 counted count VBN A33999 268 15 , , , A33999 268 16 set set VBD A33999 268 17 the the DT A33999 268 18 Inclination Inclination NNP A33999 268 19 ( ( -LRB- A33999 268 20 which which WDT A33999 268 21 as as RB A33999 268 22 well well RB A33999 268 23 as as IN A33999 268 24 the the DT A33999 268 25 Reclinais Reclinais NNP A33999 268 26 reckoned reckon VBD A33999 268 27 from from IN A33999 268 28 the the DT A33999 268 29 Zenith Zenith NNP A33999 268 30 , , , A33999 268 31 the the DT A33999 268 32 former former JJ A33999 268 33 being be VBG A33999 268 34 the the DT A33999 268 35 Denomination Denomination NNP A33999 268 36 of of IN A33999 268 37 the the DT A33999 268 38 under under NN A33999 268 39 , , , A33999 268 40 the the DT A33999 268 41 latter latter JJ A33999 268 42 of of IN A33999 268 43 the the DT A33999 268 44 upper upper JJ A33999 268 45 face face NN A33999 268 46 ) ) -RRB- A33999 268 47 upwards upwards RB A33999 268 48 towards towards IN A33999 268 49 S s NN A33999 268 50 , , , A33999 268 51 and and CC A33999 268 52 the the DT A33999 268 53 Reclination reclination NN A33999 268 54 downwards downwards RB A33999 268 55 towards towards IN A33999 268 56 N n CD A33999 268 57 , , , A33999 268 58 and and CC A33999 268 59 at at IN A33999 268 60 it -PRON- PRP A33999 268 61 set set VBD A33999 268 62 R r NN A33999 268 63 , , , A33999 268 64 from from IN A33999 268 65 whence whence NN A33999 268 66 draw draw VB A33999 268 67 a a DT A33999 268 68 line line NN A33999 268 69 through through IN A33999 268 70 the the DT A33999 268 71 Center Center NNP A33999 268 72 to to IN A33999 268 73 the the DT A33999 268 74 other other JJ A33999 268 75 side side NN A33999 268 76 , , , A33999 268 77 of of IN A33999 268 78 the the DT A33999 268 79 Circle Circle NNP A33999 268 80 . . . A33999 269 1 In in IN A33999 269 2 the the DT A33999 269 3 same same JJ A33999 269 4 quarter quarter NN A33999 269 5 of of IN A33999 269 6 Declination declination NN A33999 269 7 , , , A33999 269 8 draw draw VB A33999 269 9 HA HA NNP A33999 269 10 parallel parallel NN A33999 269 11 to to IN A33999 269 12 the the DT A33999 269 13 Horizontal horizontal JJ A33999 269 14 line line NN A33999 269 15 , , , A33999 269 16 and and CC A33999 269 17 FG FG NNP A33999 269 18 parallel parallel NN A33999 269 19 to to IN A33999 269 20 the the DT A33999 269 21 Vertical vertical JJ A33999 269 22 line line NN A33999 269 23 , , , A33999 269 24 in in IN A33999 269 25 a a DT A33999 269 26 Geometrical Geometrical NNP A33999 269 27 square square NN A33999 269 28 , , , A33999 269 29 of of IN A33999 269 30 like like UH A33999 269 31 and and CC A33999 269 32 of of IN A33999 269 33 any any DT A33999 269 34 convenient convenient JJ A33999 269 35 distance distance NN A33999 269 36 from from IN A33999 269 37 the the DT A33999 269 38 Center Center NNP A33999 269 39 at at IN A33999 269 40 pleasure pleasure NN A33999 269 41 , , , A33999 269 42 and and CC A33999 269 43 where where WRB A33999 269 44 the the DT A33999 269 45 Latitude Latitude NNP A33999 269 46 line line NN A33999 269 47 intersects intersect VBZ A33999 269 48 the the DT A33999 269 49 side side NN A33999 269 50 of of IN A33999 269 51 the the DT A33999 269 52 square square NN A33999 269 53 , , , A33999 269 54 let let VB A33999 269 55 the the DT A33999 269 56 letter letter NN A33999 269 57 F F NNP A33999 269 58 be be VB A33999 269 59 placed place VBN A33999 269 60 . . . A33999 270 1 On on IN A33999 270 2 the the DT A33999 270 3 line line NN A33999 270 4 of of IN A33999 270 5 Declination declination NN A33999 270 6 beyond beyond IN A33999 270 7 the the DT A33999 270 8 Center Center NNP A33999 270 9 , , , A33999 270 10 make make VB A33999 270 11 VO VO NNP A33999 270 12 equal equal JJ A33999 270 13 to to IN A33999 270 14 FG FG NNP A33999 270 15 , , , A33999 270 16 and and CC A33999 270 17 draw draw VB A33999 270 18 OB OB NNP A33999 270 19 parallel parallel NN A33999 270 20 to to IN A33999 270 21 the the DT A33999 270 22 Horizontal horizontal JJ A33999 270 23 line line NN A33999 270 24 , , , A33999 270 25 continued continue VBD A33999 270 26 till till IN A33999 270 27 it -PRON- PRP A33999 270 28 meet meet VB A33999 270 29 with with IN A33999 270 30 the the DT A33999 270 31 side side NN A33999 270 32 of of IN A33999 270 33 the the DT A33999 270 34 square square JJ A33999 270 35 FG FG NNP A33999 270 36 produced produce VBD A33999 270 37 , , , A33999 270 38 at at IN A33999 270 39 the the DT A33999 270 40 point point NN A33999 270 41 of of IN A33999 270 42 concurrence concurrence NN A33999 270 43 , , , A33999 270 44 set set VBN A33999 270 45 B b NN A33999 270 46 , , , A33999 270 47 and and CC A33999 270 48 where where WRB A33999 270 49 it -PRON- PRP A33999 270 50 intersects intersect VBZ A33999 270 51 the the DT A33999 270 52 Plains Plains NNPS A33999 270 53 perpendicular perpendicular JJ A33999 270 54 , , , A33999 270 55 set set VBN A33999 270 56 P p NN A33999 270 57 , , , A33999 270 58 and and CC A33999 270 59 draw draw VB A33999 270 60 OC OC NNP A33999 270 61 parallel parallel NN A33999 270 62 to to IN A33999 270 63 the the DT A33999 270 64 Vertical vertical JJ A33999 270 65 line line NN A33999 270 66 cutting cut VBG A33999 270 67 WE WE NNP A33999 270 68 at at IN A33999 270 69 C c NN A33999 270 70 , , , A33999 270 71 and and CC A33999 270 72 make make VB A33999 270 73 HA HA NNP A33999 270 74 equal equal JJ A33999 270 75 to to IN A33999 270 76 OC OC NNP A33999 270 77 or or CC A33999 270 78 BG BG NNP A33999 270 79 , , , A33999 270 80 now now RB A33999 270 81 by by IN A33999 270 82 help help NN A33999 270 83 of of IN A33999 270 84 the the DT A33999 270 85 three three CD A33999 270 86 points point NNS A33999 270 87 A A NNP A33999 270 88 , , , A33999 270 89 B b NN A33999 270 90 , , , A33999 270 91 C C NNP A33999 270 92 thus thus RB A33999 270 93 found find VBD A33999 270 94 , , , A33999 270 95 the the DT A33999 270 96 requisites requisite NNS A33999 270 97 will will MD A33999 270 98 be be VB A33999 270 99 easily easily RB A33999 270 100 prickt prickt NNS A33999 270 101 off off RP A33999 270 102 . . . A33999 271 1 1 1 LS A33999 271 2 . . . A33999 272 1 The the DT A33999 272 2 Substilar substilar JJ A33999 272 3 line line NN A33999 272 4 . . . A33999 273 1 The the DT A33999 273 2 nearest near JJS A33999 273 3 distance distance NN A33999 273 4 from from IN A33999 273 5 A a NN A33999 273 6 to to IN A33999 273 7 RV RV NNP A33999 273 8 , , , A33999 273 9 set set VBN A33999 273 10 on on IN A33999 273 11 the the DT A33999 273 12 line line NN A33999 273 13 CO CO NNP A33999 273 14 ( ( -LRB- A33999 273 15 produced produce VBN A33999 273 16 if if IN A33999 273 17 need need NN A33999 273 18 be be VB A33999 273 19 ) ) -RRB- A33999 273 20 from from IN A33999 273 21 C C NNP A33999 273 22 to to IN A33999 273 23 I -PRON- PRP A33999 273 24 the the DT A33999 273 25 same same JJ A33999 273 26 way way NN A33999 273 27 the the DT A33999 273 28 distance distance NN A33999 273 29 was be VBD A33999 273 30 taken take VBN A33999 273 31 from from IN A33999 273 32 A a DT A33999 273 33 , , , A33999 273 34 that that RB A33999 273 35 is is RB A33999 273 36 , , , A33999 273 37 if if IN A33999 273 38 downward downward JJ A33999 273 39 or or CC A33999 273 40 upward upward RB A33999 273 41 , , , A33999 273 42 the the DT A33999 273 43 other other JJ A33999 273 44 must must MD A33999 273 45 be be VB A33999 273 46 so so RB A33999 273 47 too too RB A33999 273 48 , , , A33999 273 49 will will MD A33999 273 50 shew shew VB A33999 273 51 where where WRB A33999 273 52 VI VI NNP A33999 273 53 the the DT A33999 273 54 Substilar Substilar NNP A33999 273 55 Line Line NNP A33999 273 56 is be VBZ A33999 273 57 to to TO A33999 273 58 be be VB A33999 273 59 drawn draw VBN A33999 273 60 . . . A33999 274 1 2 2 LS A33999 274 2 . . . A33999 275 1 The the DT A33999 275 2 Stiles Stiles NNP A33999 275 3 height height NN A33999 275 4 . . . A33999 276 1 The the DT A33999 276 2 least least JJS A33999 276 3 distance distance NN A33999 276 4 from from IN A33999 276 5 B B NNP A33999 276 6 to to IN A33999 276 7 RV RV NNP A33999 276 8 , , , A33999 276 9 set set VBN A33999 276 10 on on IN A33999 276 11 a a DT A33999 276 12 perpendicular perpendicular NN A33999 276 13 raised raise VBN A33999 276 14 upon upon IN A33999 276 15 the the DT A33999 276 16 Substile Substile NNP A33999 276 17 from from IN A33999 276 18 the the DT A33999 276 19 point point NN A33999 276 20 I -PRON- PRP A33999 276 21 will will MD A33999 276 22 finde finde VB A33999 276 23 the the DT A33999 276 24 point point NN A33999 276 25 K K NNP A33999 276 26 , , , A33999 276 27 from from IN A33999 276 28 whence whence NN A33999 276 29 draw draw VB A33999 276 30 a a DT A33999 276 31 Line line NN A33999 276 32 into into IN A33999 276 33 the the DT A33999 276 34 center center NN A33999 276 35 at at IN A33999 276 36 V V NNP A33999 276 37 , , , A33999 276 38 and and CC A33999 276 39 the the DT A33999 276 40 Angle Angle NNP A33999 276 41 IVK IVK NNP A33999 276 42 will will MD A33999 276 43 shew shew VB A33999 276 44 how how WRB A33999 276 45 much much JJ A33999 276 46 the the DT A33999 276 47 Stile Stile NNP A33999 276 48 is be VBZ A33999 276 49 elevated elevate VBN A33999 276 50 above above IN A33999 276 51 the the DT A33999 276 52 Substile Substile NNP A33999 276 53 , , , A33999 276 54 and and CC A33999 276 55 if if IN A33999 276 56 the the DT A33999 276 57 work work NN A33999 276 58 be be VB A33999 276 59 true true JJ A33999 276 60 , , , A33999 276 61 VK VK NNP A33999 276 62 and and CC A33999 276 63 VF VF NNP A33999 276 64 will will MD A33999 276 65 be be VB A33999 276 66 equal equal JJ A33999 276 67 , , , A33999 276 68 whence whence UH A33999 276 69 it -PRON- PRP A33999 276 70 follows follow VBZ A33999 276 71 , , , A33999 276 72 that that IN A33999 276 73 the the DT A33999 276 74 trouble trouble NN A33999 276 75 of of IN A33999 276 76 raising raise VBG A33999 276 77 the the DT A33999 276 78 mentioned mention VBN A33999 276 79 perpendicular perpendicular NN A33999 276 80 may may MD A33999 276 81 be be VB A33999 276 82 shunned shun VBN A33999 276 83 . . . A33999 277 1 3 3 LS A33999 277 2 . . . A33999 278 1 The the DT A33999 278 2 Meridian meridian JJ A33999 278 3 line line NN A33999 278 4 . . . A33999 279 1 The the DT A33999 279 2 least least JJS A33999 279 3 distance distance NN A33999 279 4 from from IN A33999 279 5 C C NNP A33999 279 6 to to IN A33999 279 7 RV RV NNP A33999 279 8 , , , A33999 279 9 set set VBN A33999 279 10 upon upon IN A33999 279 11 the the DT A33999 279 12 Line Line NNP A33999 279 13 OPB OPB NNP A33999 279 14 , , , A33999 279 15 from from IN A33999 279 16 P p NN A33999 279 17 on on IN A33999 279 18 that that DT A33999 279 19 side side NN A33999 279 20 , , , A33999 279 21 which which WDT A33999 279 22 is be VBZ A33999 279 23 farthest farthest NN A33999 279 24 from from IN A33999 279 25 the the DT A33999 279 26 Line Line NNP A33999 279 27 RV RV NNP A33999 279 28 , , , A33999 279 29 will will MD A33999 279 30 finde finde VB A33999 279 31 the the DT A33999 279 32 Point Point NNP A33999 279 33 M M NNP A33999 279 34 , , , A33999 279 35 from from IN A33999 279 36 whence whence NN A33999 279 37 a a DT A33999 279 38 Line Line NNP A33999 279 39 drawn draw VBN A33999 279 40 into into IN A33999 279 41 the the DT A33999 279 42 Center Center NNP A33999 279 43 , , , A33999 279 44 shall shall MD A33999 279 45 be be VB A33999 279 46 the the DT A33999 279 47 meridian meridian JJ A33999 279 48 Line Line NNP A33999 279 49 . . . A33999 280 1 And and CC A33999 280 2 I -PRON- PRP A33999 280 3 adde adde VBP A33999 280 4 that that IN A33999 280 5 on on IN A33999 280 6 all all DT A33999 280 7 North North NNP A33999 280 8 Recliners Recliners NNPS A33999 280 9 in in IN A33999 280 10 the the DT A33999 280 11 Northern Northern NNP A33999 280 12 Hemisphere Hemisphere NNP A33999 280 13 , , , A33999 280 14 the the DT A33999 280 15 meridian meridian JJ A33999 280 16 Line Line NNP A33999 280 17 must must MD A33999 280 18 be be VB A33999 280 19 drawn draw VBN A33999 280 20 through through IN A33999 280 21 the the DT A33999 280 22 center center NN A33999 280 23 on on IN A33999 280 24 the the DT A33999 280 25 other other JJ A33999 280 26 side side NN A33999 280 27 ; ; : A33999 280 28 and and CC A33999 280 29 then then RB A33999 280 30 the the DT A33999 280 31 construction construction NN A33999 280 32 of of IN A33999 280 33 the the DT A33999 280 34 Scheam Scheam NNP A33999 280 35 will will MD A33999 280 36 place place VB A33999 280 37 it -PRON- PRP A33999 280 38 below below IN A33999 280 39 the the DT A33999 280 40 Plains Plains NNPS A33999 280 41 Horizontal Horizontal NNP A33999 280 42 Line Line NNP A33999 280 43 , , , A33999 280 44 which which WDT A33999 280 45 is be VBZ A33999 280 46 its -PRON- PRP$ A33999 280 47 proper proper JJ A33999 280 48 Scituation Scituation NNP A33999 280 49 for for IN A33999 280 50 the the DT A33999 280 51 said say VBN A33999 280 52 upper upper JJ A33999 280 53 face face NN A33999 280 54 , , , A33999 280 55 and and CC A33999 280 56 for for IN A33999 280 57 the the DT A33999 280 58 under under JJ A33999 280 59 face face NN A33999 280 60 the the DT A33999 280 61 Scheam Scheam NNP A33999 280 62 placeth placeth VBP A33999 280 63 it -PRON- PRP A33999 280 64 true true JJ A33999 280 65 without without IN A33999 280 66 caution caution NN A33999 280 67 . . . A33999 281 1 4 4 LS A33999 281 2 . . . A33999 282 1 A a DT A33999 282 2 Polar Polar NNP A33999 282 3 Plain Plain NNP A33999 282 4 how how WRB A33999 282 5 known know VBN A33999 282 6 . . . A33999 283 1 If if IN A33999 283 2 the the DT A33999 283 3 line line NN A33999 283 4 RV rv NN A33999 283 5 fall fall VBP A33999 283 6 just just RB A33999 283 7 into into IN A33999 283 8 B b NN A33999 283 9 , , , A33999 283 10 the the DT A33999 283 11 Plain Plain NNP A33999 283 12 is be VBZ A33999 283 13 a a DT A33999 283 14 Polar Polar NNP A33999 283 15 Plain Plain NNP A33999 283 16 , , , A33999 283 17 in in IN A33999 283 18 such such PDT A33999 283 19 a a DT A33999 283 20 Plain Plain NNP A33999 283 21 the the DT A33999 283 22 Stile Stile NNP A33999 283 23 hath hath NN A33999 283 24 no no DT A33999 283 25 height height NN A33999 283 26 , , , A33999 283 27 but but CC A33999 283 28 is be VBZ A33999 283 29 parallel parallel JJ A33999 283 30 to to IN A33999 283 31 the the DT A33999 283 32 Axis Axis NNP A33999 283 33 , , , A33999 283 34 in in IN A33999 283 35 this this DT A33999 283 36 case case NN A33999 283 37 the the DT A33999 283 38 Inclination Inclination NNP A33999 283 39 of of IN A33999 283 40 Meridians Meridians NNPS A33999 283 41 must must MD A33999 283 42 be be VB A33999 283 43 known know VBN A33999 283 44 , , , A33999 283 45 directions direction NNS A33999 283 46 for for IN A33999 283 47 such such JJ A33999 283 48 Plains Plains NNPS A33999 283 49 must must MD A33999 283 50 afterwards afterwards RB A33999 283 51 follow follow VB A33999 283 52 . . . A33999 284 1 But but CC A33999 284 2 if if IN A33999 284 3 the the DT A33999 284 4 line line NN A33999 284 5 RV rv NN A33999 284 6 fall fall VB A33999 284 7 between between IN A33999 284 8 the the DT A33999 284 9 Points Points NNPS A33999 284 10 B B NNP A33999 284 11 and and CC A33999 284 12 P P NNP A33999 284 13 , , , A33999 284 14 then then RB A33999 284 15 must must MD A33999 284 16 the the DT A33999 284 17 Substile Substile NNP A33999 284 18 Stile Stile NNP A33999 284 19 and and CC A33999 284 20 Meridian Meridian NNP A33999 284 21 be be VB A33999 284 22 all all DT A33999 284 23 drawn draw VBN A33999 284 24 through through IN A33999 284 25 the the DT A33999 284 26 Center Center NNP A33999 284 27 , , , A33999 284 28 and and CC A33999 284 29 stand stand VB A33999 284 30 beyond beyond IN A33999 284 31 on on IN A33999 284 32 the the DT A33999 284 33 other other JJ A33999 284 34 side side NN A33999 284 35 . . . A33999 285 1 Annotations annotation NNS A33999 285 2 on on IN A33999 285 3 the the DT A33999 285 4 former former JJ A33999 285 5 Scheam Scheam NNP A33999 285 6 . . . A33999 286 1 1 1 LS A33999 286 2 . . . A33999 287 1 That that IN A33999 287 2 for for IN A33999 287 3 Latitudes latitude NNS A33999 287 4 under under IN A33999 287 5 45d 45d NNS A33999 287 6 this this DT A33999 287 7 construction construction NN A33999 287 8 of of IN A33999 287 9 the the DT A33999 287 10 Scheam Scheam NNP A33999 287 11 , , , A33999 287 12 supposeth supposeth VBZ A33999 287 13 the the DT A33999 287 14 sides side NNS A33999 287 15 of of IN A33999 287 16 the the DT A33999 287 17 square square NN A33999 287 18 produced produce VBN A33999 287 19 , , , A33999 287 20 which which WDT A33999 287 21 will will MD A33999 287 22 therefore therefore RB A33999 287 23 be be VB A33999 287 24 lyable lyable JJ A33999 287 25 to to IN A33999 287 26 large large JJ A33999 287 27 excursions excursion NNS A33999 287 28 or or CC A33999 287 29 other other JJ A33999 287 30 inconveniences inconvenience NNS A33999 287 31 , , , A33999 287 32 wherefore wherefore VBN A33999 287 33 for for IN A33999 287 34 such such JJ A33999 287 35 Latitudes Latitudes NNPS A33999 287 36 , , , A33999 287 37 I -PRON- PRP A33999 287 38 shall shall MD A33999 287 39 somewhat somewhat RB A33999 287 40 vary vary VB A33999 287 41 from from IN A33999 287 42 the the DT A33999 287 43 construction construction NN A33999 287 44 prescribed prescribe VBN A33999 287 45 . . . A33999 288 1 2 2 LS A33999 288 2 . . . A33999 289 1 In in IN A33999 289 2 finding find VBG A33999 289 3 the the DT A33999 289 4 Substilar substilar JJ A33999 289 5 line line NN A33999 289 6 , , , A33999 289 7 in in IN A33999 289 8 stead stead NN A33999 289 9 of of IN A33999 289 10 erecting erect VBG A33999 289 11 CI CI NNP A33999 289 12 upon upon IN A33999 289 13 VC VC NNP A33999 289 14 , , , A33999 289 15 you -PRON- PRP A33999 289 16 may may MD A33999 289 17 prick prick VB A33999 289 18 the the DT A33999 289 19 same same JJ A33999 289 20 on on IN A33999 289 21 the the DT A33999 289 22 Vertical vertical JJ A33999 289 23 line line NN A33999 289 24 VN VN NNP A33999 289 25 , , , A33999 289 26 and and CC A33999 289 27 thereto thereto NN A33999 289 28 erect erect NN A33999 289 29 VC VC NNP A33999 289 30 , , , A33999 289 31 and and CC A33999 289 32 get get VB A33999 289 33 the the DT A33999 289 34 point point NN A33999 289 35 I -PRON- PRP A33999 289 36 possibly possibly RB A33999 289 37 with with IN A33999 289 38 more more JJR A33999 289 39 certainty certainty NN A33999 289 40 by by IN A33999 289 41 finding find VBG A33999 289 42 the the DT A33999 289 43 intersection intersection NN A33999 289 44 of of IN A33999 289 45 two two CD A33999 289 46 Arks Arks NNP A33999 289 47 where where WRB A33999 289 48 the the DT A33999 289 49 said say VBD A33999 289 50 Point Point NNP A33999 289 51 is be VBZ A33999 289 52 to to TO A33999 289 53 pass pass VB A33999 289 54 . . . A33999 290 1 3 3 LS A33999 290 2 . . . A33999 291 1 In in IN A33999 291 2 pricking prick VBG A33999 291 3 off off RP A33999 291 4 the the DT A33999 291 5 Meridian meridian JJ A33999 291 6 line line NN A33999 291 7 , , , A33999 291 8 the the DT A33999 291 9 distance distance NN A33999 291 10 of of IN A33999 291 11 C C NNP A33999 291 12 from from IN A33999 291 13 the the DT A33999 291 14 Center Center NNP A33999 291 15 may may MD A33999 291 16 be be VB A33999 291 17 doubled double VBN A33999 291 18 or or CC A33999 291 19 tripled triple VBN A33999 291 20 , , , A33999 291 21 but but CC A33999 291 22 so so RB A33999 291 23 must must MD A33999 291 24 likewise likewise VB A33999 291 25 VP VP NNP A33999 291 26 , , , A33999 291 27 and and CC A33999 291 28 the the DT A33999 291 29 nearest near JJS A33999 291 30 distance distance NN A33999 291 31 from from IN A33999 291 32 C C NNP A33999 291 33 to to TO A33999 291 34 RV RV NNP A33999 291 35 erected erect VBN A33999 291 36 on on IN A33999 291 37 a a DT A33999 291 38 line line NN A33999 291 39 drawn draw VBN A33999 291 40 parallel parallel JJ A33999 291 41 to to IN A33999 291 42 WE WE NNP A33999 291 43 , , , A33999 291 44 passing pass VBG A33999 291 45 through through IN A33999 291 46 the the DT A33999 291 47 Point Point NNP A33999 291 48 P P NNP A33999 291 49 so so RB A33999 291 50 found find VBD A33999 291 51 , , , A33999 291 52 and and CC A33999 291 53 in in IN A33999 291 54 stead stead NN A33999 291 55 of of IN A33999 291 56 drawing draw VBG A33999 291 57 such such PDT A33999 291 58 a a DT A33999 291 59 parallel parallel NN A33999 291 60 , , , A33999 291 61 the the DT A33999 291 62 Point Point NNP A33999 291 63 M M NNP A33999 291 64 may may MD A33999 291 65 be be VB A33999 291 66 found find VBN A33999 291 67 by by IN A33999 291 68 the the DT A33999 291 69 intersection intersection NN A33999 291 70 of of IN A33999 291 71 two two CD A33999 291 72 Arks ark NNS A33999 291 73 . . . A33999 292 1 4 4 LS A33999 292 2 . . . A33999 293 1 That that IN A33999 293 2 this this DT A33999 293 3 Scheam Scheam NNP A33999 293 4 placeth placeth VBP A33999 293 5 the the DT A33999 293 6 requisites requisite NNS A33999 293 7 of of IN A33999 293 8 all all DT A33999 293 9 Dyals dyal NNS A33999 293 10 in in IN A33999 293 11 their -PRON- PRP$ A33999 293 12 true true JJ A33999 293 13 coast coast NN A33999 293 14 and and CC A33999 293 15 quantity quantity NN A33999 293 16 , , , A33999 293 17 yet yet CC A33999 293 18 notwithstanding notwithstanding IN A33999 293 19 if if IN A33999 293 20 this this DT A33999 293 21 Scheam Scheam NNP A33999 293 22 be be VB A33999 293 23 held hold VBN A33999 293 24 before before IN A33999 293 25 a a DT A33999 293 26 Looking Looking NNP A33999 293 27 - - HYPH A33999 293 28 Glass Glass NNP A33999 293 29 , , , A33999 293 30 the the DT A33999 293 31 Effigies effigy NNS A33999 293 32 thereof thereof VBD A33999 293 33 in in IN A33999 293 34 the the DT A33999 293 35 Glass Glass NNP A33999 293 36 shews shew VBZ A33999 293 37 how how WRB A33999 293 38 the the DT A33999 293 39 Scheam Scheam NNP A33999 293 40 would would MD A33999 293 41 happen happen VB A33999 293 42 and and CC A33999 293 43 place place VB A33999 293 44 the the DT A33999 293 45 Requisites Requisites NNPS A33999 293 46 , , , A33999 293 47 namely namely RB A33999 293 48 , , , A33999 293 49 the the DT A33999 293 50 Stile Stile NNP A33999 293 51 , , , A33999 293 52 Substile Substile NNP A33999 293 53 and and CC A33999 293 54 Meridian Meridian NNP A33999 293 55 , , , A33999 293 56 for for IN A33999 293 57 a a DT A33999 293 58 Plain Plain NNP A33999 293 59 of of IN A33999 293 60 the the DT A33999 293 61 same same JJ A33999 293 62 Denomination denomination NN A33999 293 63 , , , A33999 293 64 but but CC A33999 293 65 declining decline VBG A33999 293 66 to to IN A33999 293 67 the the DT A33999 293 68 contrary contrary JJ A33999 293 69 Coast Coast NNP A33999 293 70 . . . A33999 294 1 And and CC A33999 294 2 if if IN A33999 294 3 the the DT A33999 294 4 face face NN A33999 294 5 of of IN A33999 294 6 the the DT A33999 294 7 said say VBN A33999 294 8 Scheam Scheam NNP A33999 294 9 be be VB A33999 294 10 laid lay VBN A33999 294 11 upon upon IN A33999 294 12 a a DT A33999 294 13 Window Window NNP A33999 294 14 , , , A33999 294 15 and and CC A33999 294 16 the the DT A33999 294 17 Substile Substile NNP A33999 294 18 , , , A33999 294 19 Stile Stile NNP A33999 294 20 and and CC A33999 294 21 Meridian Meridian NNP A33999 294 22 be be VB A33999 294 23 continued continue VBN A33999 294 24 through through IN A33999 294 25 the the DT A33999 294 26 Center Center NNP A33999 294 27 on on IN A33999 294 28 the the DT A33999 294 29 backside backside NN A33999 294 30 thereof thereof RB A33999 294 31 , , , A33999 294 32 it -PRON- PRP A33999 294 33 shews shew VBZ A33999 294 34 you -PRON- PRP A33999 294 35 how how WRB A33999 294 36 these these DT A33999 294 37 requisites requisite NNS A33999 294 38 are be VBP A33999 294 39 to to TO A33999 294 40 be be VB A33999 294 41 placed place VBN A33999 294 42 on on IN A33999 294 43 the the DT A33999 294 44 opposite opposite JJ A33999 294 45 side side NN A33999 294 46 of of IN A33999 294 47 the the DT A33999 294 48 Plain Plain NNP A33999 294 49 , , , A33999 294 50 which which WDT A33999 294 51 being be VBG A33999 294 52 done do VBN A33999 294 53 , , , A33999 294 54 may may MD A33999 294 55 be be VB A33999 294 56 held hold VBN A33999 294 57 before before IN A33999 294 58 a a DT A33999 294 59 Looking Looking NNP A33999 294 60 - - HYPH A33999 294 61 Glass Glass NNP A33999 294 62 as as IN A33999 294 63 before before RB A33999 294 64 , , , A33999 294 65 and and CC A33999 294 66 will will MD A33999 294 67 be be VB A33999 294 68 represented represent VBN A33999 294 69 for for IN A33999 294 70 the the DT A33999 294 71 contrary contrary JJ A33999 294 72 Declination declination NN A33999 294 73 of of IN A33999 294 74 that that DT A33999 294 75 opposite opposite JJ A33999 294 76 face face NN A33999 294 77 : : : A33999 294 78 the the DT A33999 294 79 truth truth NN A33999 294 80 of of IN A33999 294 81 all all DT A33999 294 82 which which WDT A33999 294 83 will will MD A33999 294 84 be be VB A33999 294 85 confirmed confirm VBN A33999 294 86 from from IN A33999 294 87 the the DT A33999 294 88 Scheam Scheam NNP A33999 294 89 it -PRON- PRP A33999 294 90 self self VBP A33999 294 91 . . . A33999 295 1 This this DT A33999 295 2 Scheam Scheam NNP A33999 295 3 for for IN A33999 295 4 Declining Declining NNP A33999 295 5 , , , A33999 295 6 Reclining reclining NN A33999 295 7 , , , A33999 295 8 or or CC A33999 295 9 Inclining Inclining NNP A33999 295 10 Plains Plains NNPS A33999 295 11 , , , A33999 295 12 useth useth VBP A33999 295 13 a a DT A33999 295 14 new new JJ A33999 295 15 method method NN A33999 295 16 of of IN A33999 295 17 Calculation Calculation NNP A33999 295 18 , , , A33999 295 19 derived derive VBN A33999 295 20 from from IN A33999 295 21 an an DT A33999 295 22 Oblique Oblique NNP A33999 295 23 Triangle Triangle NNP A33999 295 24 in in IN A33999 295 25 the the DT A33999 295 26 Sphere Sphere NNP A33999 295 27 , , , A33999 295 28 wherein wherein WRB A33999 295 29 there there EX A33999 295 30 is be VBZ A33999 295 31 two two CD A33999 295 32 sides side NNS A33999 295 33 with with IN A33999 295 34 the the DT A33999 295 35 Angle Angle NNP A33999 295 36 comprehended comprehend VBD A33999 295 37 , , , A33999 295 38 given give VBN A33999 295 39 to to IN A33999 295 40 finde finde NNP A33999 295 41 both both CC A33999 295 42 the the DT A33999 295 43 other other JJ A33999 295 44 Angles Angles NNP A33999 295 45 , , , A33999 295 46 which which WDT A33999 295 47 is be VBZ A33999 295 48 reduced reduce VBN A33999 295 49 by by IN A33999 295 50 a a DT A33999 295 51 perpendicular perpendicular NN A33999 295 52 to to IN A33999 295 53 two two CD A33999 295 54 right right NN A33999 295 55 Angled Angled NNP A33999 295 56 Triangles Triangles NNPS A33999 295 57 , , , A33999 295 58 from from IN A33999 295 59 which which WDT A33999 295 60 the the DT A33999 295 61 following follow VBG A33999 295 62 proportions proportion NNS A33999 295 63 are be VBP A33999 295 64 derived derive VBN A33999 295 65 . . . A33999 296 1 I -PRON- PRP A33999 296 2 shall shall MD A33999 296 3 therefore therefore RB A33999 296 4 first first RB A33999 296 5 deliver deliver VB A33999 296 6 the the DT A33999 296 7 said say VBN A33999 296 8 method method NN A33999 296 9 , , , A33999 296 10 then then RB A33999 296 11 demonstrate demonstrate VBP A33999 296 12 that that IN A33999 296 13 the the DT A33999 296 14 said say VBN A33999 296 15 proportions proportion NNS A33999 296 16 are be VBP A33999 296 17 carried carry VBN A33999 296 18 on on RP A33999 296 19 in in IN A33999 296 20 the the DT A33999 296 21 Scheam Scheam NNP A33999 296 22 ; ; : A33999 296 23 and and CC A33999 296 24 lastly lastly RB A33999 296 25 , , , A33999 296 26 from from IN A33999 296 27 the the DT A33999 296 28 Sphere Sphere NNP A33999 296 29 , , , A33999 296 30 shew shew NN A33999 296 31 how how WRB A33999 296 32 those those DT A33999 296 33 proportions proportion NNS A33999 296 34 do do VBP A33999 296 35 arise arise VB A33999 296 36 . . . A33999 297 1 1 1 LS A33999 297 2 . . . A33999 298 1 To to TO A33999 298 2 finde finde NNP A33999 298 3 a a DT A33999 298 4 Polar Polar NNP A33999 298 5 Plains Plains NNPS A33999 298 6 Reclination Reclination NNP A33999 298 7 or or CC A33999 298 8 Inclination Inclination NNP A33999 298 9 . . . A33999 299 1 As as IN A33999 299 2 the the DT A33999 299 3 Radius Radius NNP A33999 299 4 , , , A33999 299 5 Is be VBZ A33999 299 6 to to IN A33999 299 7 the the DT A33999 299 8 Cosine Cosine NNP A33999 299 9 of of IN A33999 299 10 the the DT A33999 299 11 Plains Plains NNP A33999 299 12 Declination Declination NNP A33999 299 13 , , , A33999 299 14 So so RB A33999 299 15 is be VBZ A33999 299 16 the the DT A33999 299 17 Cotangent Cotangent NNP A33999 299 18 of of IN A33999 299 19 the the DT A33999 299 20 Latitude Latitude NNP A33999 299 21 , , , A33999 299 22 To to IN A33999 299 23 the the DT A33999 299 24 Tangent tangent NN A33999 299 25 of of IN A33999 299 26 the the DT A33999 299 27 Reclination Reclination NNP A33999 299 28 or or CC A33999 299 29 Inclination Inclination NNP A33999 299 30 sought seek VBD A33999 299 31 . . . A33999 300 1 2 2 LS A33999 300 2 . . . A33999 301 1 To to TO A33999 301 2 finde finde VB A33999 301 3 the the DT A33999 301 4 distance distance NN A33999 301 5 of of IN A33999 301 6 the the DT A33999 301 7 Substile Substile NNP A33999 301 8 or or CC A33999 301 9 Meridian meridian JJ A33999 301 10 line line NN A33999 301 11 , , , A33999 301 12 from from IN A33999 301 13 the the DT A33999 301 14 plains plain NNS A33999 301 15 perpendicular perpendicular JJ A33999 301 16 for for IN A33999 301 17 a a DT A33999 301 18 Polar Polar NNP A33999 301 19 plain plain NN A33999 301 20 . . . A33999 302 1 As as IN A33999 302 2 the the DT A33999 302 3 Radius Radius NNP A33999 302 4 , , , A33999 302 5 Is be VBZ A33999 302 6 to to IN A33999 302 7 the the DT A33999 302 8 Sine Sine NNP A33999 302 9 of of IN A33999 302 10 a a DT A33999 302 11 Polar Polar NNP A33999 302 12 Plains Plains NNPS A33999 302 13 Reclination Reclination NNP A33999 302 14 , , , A33999 302 15 So so RB A33999 302 16 is be VBZ A33999 302 17 the the DT A33999 302 18 Tangent Tangent NNP A33999 302 19 of of IN A33999 302 20 the the DT A33999 302 21 Declination declination NN A33999 302 22 , , , A33999 302 23 To to IN A33999 302 24 the the DT A33999 302 25 Tangent tangent NN A33999 302 26 of of IN A33999 302 27 the the DT A33999 302 28 Substilar substilar JJ A33999 302 29 line line NN A33999 302 30 from from IN A33999 302 31 the the DT A33999 302 32 Plains Plains NNPS A33999 302 33 perpendicular perpendicular NN A33999 302 34 . . . A33999 303 1 3 3 LS A33999 303 2 . . . A33999 304 1 The the DT A33999 304 2 Inclination Inclination NNP A33999 304 3 of of IN A33999 304 4 Meridians Meridians NNPS A33999 304 5 . . . A33999 305 1 As as IN A33999 305 2 the the DT A33999 305 3 Radius Radius NNP A33999 305 4 , , , A33999 305 5 Is be VBZ A33999 305 6 to to IN A33999 305 7 the the DT A33999 305 8 Sine Sine NNP A33999 305 9 of of IN A33999 305 10 the the DT A33999 305 11 Latitude Latitude NNP A33999 305 12 , , , A33999 305 13 So so RB A33999 305 14 is be VBZ A33999 305 15 the the DT A33999 305 16 Tangent Tangent NNP A33999 305 17 of of IN A33999 305 18 the the DT A33999 305 19 Declination declination NN A33999 305 20 , , , A33999 305 21 To to IN A33999 305 22 the the DT A33999 305 23 Tangent Tangent NNP A33999 305 24 of of IN A33999 305 25 the the DT A33999 305 26 Inclination Inclination NNP A33999 305 27 of of IN A33999 305 28 Meridians Meridians NNPS A33999 305 29 . . . A33999 306 1 Affections affection NNS A33999 306 2 of of IN A33999 306 3 a a DT A33999 306 4 Polar Polar NNP A33999 306 5 Plain Plain NNP A33999 306 6 . . . A33999 307 1 The the DT A33999 307 2 Substilar Substilar NNP A33999 307 3 on on IN A33999 307 4 the the DT A33999 307 5 upper upper JJ A33999 307 6 face face NN A33999 307 7 , , , A33999 307 8 lies lie VBZ A33999 307 9 above above IN A33999 307 10 that that DT A33999 307 11 end end NN A33999 307 12 of of IN A33999 307 13 the the DT A33999 307 14 Horizontal horizontal JJ A33999 307 15 line line NN A33999 307 16 , , , A33999 307 17 towards towards IN A33999 307 18 the the DT A33999 307 19 Coast Coast NNP A33999 307 20 of of IN A33999 307 21 Declination Declination NNP A33999 307 22 , , , A33999 307 23 and and CC A33999 307 24 the the DT A33999 307 25 Meridian meridian JJ A33999 307 26 lyes lye NNS A33999 307 27 parallel parallel NN A33999 307 28 to to IN A33999 307 29 the the DT A33999 307 30 Substile Substile NNP A33999 307 31 beyond beyond IN A33999 307 32 it -PRON- PRP A33999 307 33 , , , A33999 307 34 towards towards IN A33999 307 35 that that DT A33999 307 36 end end NN A33999 307 37 of of IN A33999 307 38 the the DT A33999 307 39 Horizontal horizontal JJ A33999 307 40 line line NN A33999 307 41 that that WDT A33999 307 42 is be VBZ A33999 307 43 towards towards IN A33999 307 44 the the DT A33999 307 45 Coast Coast NNP A33999 307 46 of of IN A33999 307 47 Declination Declination NNP A33999 307 48 . . . A33999 308 1 For for IN A33999 308 2 Declining Declining NNP A33999 308 3 , , , A33999 308 4 Reclining reclining NN A33999 308 5 , , , A33999 308 6 or or CC A33999 308 7 Inclining incline VBG A33999 308 8 Plains Plains NNPS A33999 308 9 . . . A33999 309 1 First first RB A33999 309 2 finde finde NN A33999 309 3 a a DT A33999 309 4 Polar Polar NNP A33999 309 5 Plains Plains NNPS A33999 309 6 Reclination Reclination NNP A33999 309 7 for for IN A33999 309 8 the the DT A33999 309 9 same same JJ A33999 309 10 Declination declination NN A33999 309 11 . . . A33999 310 1 Then then RB A33999 310 2 for for IN A33999 310 3 South South NNP A33999 310 4 Recliners Recliners NNPS A33999 310 5 and and CC A33999 310 6 North North NNP A33999 310 7 Incliners Incliners NNPS A33999 310 8 , , , A33999 310 9 get get VB A33999 310 10 the the DT A33999 310 11 difference difference NN A33999 310 12 , , , A33999 310 13 but but CC A33999 310 14 for for IN A33999 310 15 North North NNP A33999 310 16 Recliners Recliners NNPS A33999 310 17 and and CC A33999 310 18 South South NNP A33999 310 19 Incliners Incliners NNPS A33999 310 20 , , , A33999 310 21 the the DT A33999 310 22 sum sum NN A33999 310 23 of of IN A33999 310 24 a a DT A33999 310 25 Polar Polar NNP A33999 310 26 plains plain NNS A33999 310 27 Reclination reclination NN A33999 310 28 , , , A33999 310 29 and and CC A33999 310 30 of of IN A33999 310 31 the the DT A33999 310 32 Re Re NNP A33999 310 33 Inclination Inclination NNP A33999 310 34 of of IN A33999 310 35 the the DT A33999 310 36 plain plain RB A33999 310 37 proposed propose VBN A33999 310 38 , , , A33999 310 39 and and CC A33999 310 40 then then RB A33999 310 41 it -PRON- PRP A33999 310 42 holds hold VBZ A33999 310 43 . . . A33999 311 1 1 1 LS A33999 311 2 . . . A33999 312 1 For for IN A33999 312 2 the the DT A33999 312 3 Substile Substile NNP A33999 312 4 . . . A33999 313 1 As as IN A33999 313 2 the the DT A33999 313 3 Cosine Cosine NNP A33999 313 4 of of IN A33999 313 5 the the DT A33999 313 6 said say VBN A33999 313 7 Ark Ark NNP A33999 313 8 of of IN A33999 313 9 difference difference NN A33999 313 10 or or CC A33999 313 11 sum sum NN A33999 313 12 according accord VBG A33999 313 13 as as IN A33999 313 14 the the DT A33999 313 15 Plain plain JJ A33999 313 16 leans lean VBZ A33999 313 17 Northward northward RB A33999 313 18 or or CC A33999 313 19 Southwards Southwards NNP A33999 313 20 , , , A33999 313 21 Is be VBZ A33999 313 22 to to IN A33999 313 23 the the DT A33999 313 24 Sine Sine NNP A33999 313 25 of of IN A33999 313 26 the the DT A33999 313 27 Polar Polar NNP A33999 313 28 Plains Plains NNPS A33999 313 29 Reclination Reclination NNP A33999 313 30 , , , A33999 313 31 So so RB A33999 313 32 is be VBZ A33999 313 33 the the DT A33999 313 34 Tangent Tangent NNP A33999 313 35 of of IN A33999 313 36 the the DT A33999 313 37 Declination declination NN A33999 313 38 , , , A33999 313 39 To to IN A33999 313 40 the the DT A33999 313 41 Tangent tangent NN A33999 313 42 of of IN A33999 313 43 the the DT A33999 313 44 Substilar Substilar NNP A33999 313 45 from from IN A33999 313 46 the the DT A33999 313 47 Plains Plains NNPS A33999 313 48 perpendicular perpendicular NN A33999 313 49 . . . A33999 314 1 2 2 LS A33999 314 2 . . . A33999 315 1 For for IN A33999 315 2 the the DT A33999 315 3 Stiles Stiles NNP A33999 315 4 height height NN A33999 315 5 . . . A33999 316 1 As as IN A33999 316 2 the the DT A33999 316 3 Radius Radius NNP A33999 316 4 , , , A33999 316 5 Is be VBZ A33999 316 6 to to IN A33999 316 7 the the DT A33999 316 8 Cosine Cosine NNP A33999 316 9 of of IN A33999 316 10 the the DT A33999 316 11 Substiles Substiles NNP A33999 316 12 distance distance NN A33999 316 13 from from IN A33999 316 14 the the DT A33999 316 15 Plains Plains NNPS A33999 316 16 perpendicular perpendicular JJ A33999 316 17 , , , A33999 316 18 So so RB A33999 316 19 is be VBZ A33999 316 20 the the DT A33999 316 21 Tangent Tangent NNP A33999 316 22 of of IN A33999 316 23 the the DT A33999 316 24 Sum Sum NNP A33999 316 25 or or CC A33999 316 26 difference difference NN A33999 316 27 of of IN A33999 316 28 Reclinations Reclinations NNP A33999 316 29 , , , A33999 316 30 as as IN A33999 316 31 before before RB A33999 316 32 limited limit VBN A33999 316 33 , , , A33999 316 34 To to IN A33999 316 35 the the DT A33999 316 36 Tangent Tangent NNP A33999 316 37 of of IN A33999 316 38 the the DT A33999 316 39 Stiles Stiles NNP A33999 316 40 height height NN A33999 316 41 . . . A33999 317 1 3 3 LS A33999 317 2 . . . A33999 318 1 Meridians meridian NNS A33999 318 2 distance distance VBP A33999 318 3 from from IN A33999 318 4 the the DT A33999 318 5 plains plain NNS A33999 318 6 perpendicular perpendicular JJ A33999 318 7 . . . A33999 319 1 As as IN A33999 319 2 the the DT A33999 319 3 Radius Radius NNP A33999 319 4 , , , A33999 319 5 Is be VBZ A33999 319 6 to to IN A33999 319 7 the the DT A33999 319 8 Sine Sine NNP A33999 319 9 of of IN A33999 319 10 the the DT A33999 319 11 Re Re NNP A33999 319 12 Inclination Inclination NNP A33999 319 13 , , , A33999 319 14 So so RB A33999 319 15 is be VBZ A33999 319 16 the the DT A33999 319 17 Tangent Tangent NNP A33999 319 18 of of IN A33999 319 19 the the DT A33999 319 20 Declination declination NN A33999 319 21 , , , A33999 319 22 To to IN A33999 319 23 the the DT A33999 319 24 Tangent Tangent NNP A33999 319 25 of of IN A33999 319 26 the the DT A33999 319 27 Meridian Meridian NNP A33999 319 28 from from IN A33999 319 29 the the DT A33999 319 30 Plains Plains NNPS A33999 319 31 perpendicular perpendicular NN A33999 319 32 . . . A33999 320 1 4 4 LS A33999 320 2 . . . A33999 321 1 Inclination inclination NN A33999 321 2 of of IN A33999 321 3 Meridians Meridians NNPS A33999 321 4 . . . A33999 322 1 As as IN A33999 322 2 the the DT A33999 322 3 Sine Sine NNP A33999 322 4 of of IN A33999 322 5 the the DT A33999 322 6 Stiles Stiles NNP A33999 322 7 height height NN A33999 322 8 , , , A33999 322 9 Is be VBZ A33999 322 10 to to IN A33999 322 11 the the DT A33999 322 12 tangent tangent NN A33999 322 13 of of IN A33999 322 14 the the DT A33999 322 15 distance distance NN A33999 322 16 between between IN A33999 322 17 the the DT A33999 322 18 Meridian Meridian NNP A33999 322 19 and and CC A33999 322 20 Substile Substile NNP A33999 322 21 , , , A33999 322 22 So so RB A33999 322 23 is be VBZ A33999 322 24 the the DT A33999 322 25 Radius Radius NNP A33999 322 26 , , , A33999 322 27 to to IN A33999 322 28 the the DT A33999 322 29 tangent tangent NN A33999 322 30 of of IN A33999 322 31 the the DT A33999 322 32 Inclination Inclination NNP A33999 322 33 of of IN A33999 322 34 Meridians Meridians NNPS A33999 322 35 . . . A33999 323 1 For for IN A33999 323 2 South South NNP A33999 323 3 Recliners Recliners NNPS A33999 323 4 or or CC A33999 323 5 North North NNP A33999 323 6 Incliners Incliners NNPS A33999 323 7 , , , A33999 323 8 the the DT A33999 323 9 difference difference NN A33999 323 10 between between IN A33999 323 11 the the DT A33999 323 12 substiles substile NNS A33999 323 13 distance distance NN A33999 323 14 from from IN A33999 323 15 the the DT A33999 323 16 plains plain NNS A33999 323 17 perpendicular perpendicular JJ A33999 323 18 , , , A33999 323 19 and and CC A33999 323 20 the the DT A33999 323 21 Meridians Meridians NNPS A33999 323 22 distance distance NN A33999 323 23 therefrom therefrom NN A33999 323 24 , , , A33999 323 25 is be VBZ A33999 323 26 equal equal JJ A33999 323 27 to to IN A33999 323 28 the the DT A33999 323 29 distance distance NN A33999 323 30 between between IN A33999 323 31 the the DT A33999 323 32 Meridian Meridian NNP A33999 323 33 and and CC A33999 323 34 Substile Substile NNP A33999 323 35 ; ; : A33999 323 36 the the DT A33999 323 37 like like JJ A33999 323 38 for for IN A33999 323 39 such such JJ A33999 323 40 North North NNP A33999 323 41 Recliners Recliners NNPS A33999 323 42 or or CC A33999 323 43 South South NNPS A33999 323 44 Incliners Incliners NNPS A33999 323 45 , , , A33999 323 46 as as IN A33999 323 47 Recline Recline NNP A33999 323 48 or or CC A33999 323 49 Incline incline VBP A33999 323 50 more more RBR A33999 323 51 then then IN A33999 323 52 an an DT A33999 323 53 Equinoctial Equinoctial NNP A33999 323 54 Plain Plain NNP A33999 323 55 , , , A33999 323 56 having have VBG A33999 323 57 the the DT A33999 323 58 same same JJ A33999 323 59 declination declination NN A33999 323 60 , , , A33999 323 61 but but CC A33999 323 62 if if IN A33999 323 63 they -PRON- PRP A33999 323 64 lean lean VBP A33999 323 65 above above IN A33999 323 66 it -PRON- PRP A33999 323 67 , , , A33999 323 68 or or CC A33999 323 69 have have VBP A33999 323 70 a a DT A33999 323 71 lesser less JJR A33999 323 72 Reclination reclination NN A33999 323 73 , , , A33999 323 74 the the DT A33999 323 75 sum sum NN A33999 323 76 is be VBZ A33999 323 77 the the DT A33999 323 78 distance distance NN A33999 323 79 between between IN A33999 323 80 the the DT A33999 323 81 Meridian Meridian NNP A33999 323 82 and and CC A33999 323 83 the the DT A33999 323 84 Substile Substile NNP A33999 323 85 . . . A33999 324 1 The the DT A33999 324 2 three three CD A33999 324 3 first first JJ A33999 324 4 Proportions Proportions NNP A33999 324 5 , , , A33999 324 6 besides besides IN A33999 324 7 the the DT A33999 324 8 finding finding NN A33999 324 9 of of IN A33999 324 10 a a DT A33999 324 11 Polar Polar NNP A33999 324 12 Reclination Reclination NNP A33999 324 13 , , , A33999 324 14 are be VBP A33999 324 15 used use VBN A33999 324 16 in in IN A33999 324 17 the the DT A33999 324 18 Scheam Scheam NNP A33999 324 19 for for IN A33999 324 20 the the DT A33999 324 21 placing placing NN A33999 324 22 of of IN A33999 324 23 the the DT A33999 324 24 Requisites Requisites NNPS A33999 324 25 , , , A33999 324 26 and and CC A33999 324 27 the the DT A33999 324 28 latter latter JJ A33999 324 29 proportion proportion NN A33999 324 30 in in IN A33999 324 31 the the DT A33999 324 32 Circular Circular NNP A33999 324 33 Scheam Scheam NNP A33999 324 34 for for IN A33999 324 35 drawing draw VBG A33999 324 36 the the DT A33999 324 37 hours hour NNS A33999 324 38 . . . A33999 325 1 Another another DT A33999 325 2 proportion proportion NN A33999 325 3 for for IN A33999 325 4 finding find VBG A33999 325 5 the the DT A33999 325 6 Inclination Inclination NNP A33999 325 7 of of IN A33999 325 8 Meridians Meridians NNPS A33999 325 9 by by IN A33999 325 10 Calculation Calculation NNP A33999 325 11 , , , A33999 325 12 is be VBZ A33999 325 13 : : : A33999 325 14 As as IN A33999 325 15 the the DT A33999 325 16 Cosine Cosine NNP A33999 325 17 of of IN A33999 325 18 the the DT A33999 325 19 Latitude Latitude NNP A33999 325 20 , , , A33999 325 21 Is be VBZ A33999 325 22 to to IN A33999 325 23 the the DT A33999 325 24 sine sine NN A33999 325 25 of of IN A33999 325 26 the the DT A33999 325 27 substiles substiles NNP A33999 325 28 distance distance NN A33999 325 29 from from IN A33999 325 30 the the DT A33999 325 31 Plains Plains NNPS A33999 325 32 perpendicular perpendicular JJ A33999 325 33 , , , A33999 325 34 So so RB A33999 325 35 is be VBZ A33999 325 36 the the DT A33999 325 37 Cosine Cosine NNP A33999 325 38 of of IN A33999 325 39 the the DT A33999 325 40 Re Re NNP A33999 325 41 Inclination Inclination NNP A33999 325 42 of of IN A33999 325 43 the the DT A33999 325 44 Plain Plain NNP A33999 325 45 , , , A33999 325 46 To to IN A33999 325 47 the the DT A33999 325 48 sine sine NN A33999 325 49 of of IN A33999 325 50 the the DT A33999 325 51 Inclination Inclination NNP A33999 325 52 of of IN A33999 325 53 Meridians Meridians NNPS A33999 325 54 . . . A33999 326 1 The the DT A33999 326 2 Reclination Reclination NNP A33999 326 3 of of IN A33999 326 4 an an DT A33999 326 5 Equinoctial Equinoctial NNP A33999 326 6 Plain Plain NNP A33999 326 7 to to IN A33999 326 8 any any DT A33999 326 9 assigned assigned JJ A33999 326 10 Declination declination NN A33999 326 11 , , , A33999 326 12 is be VBZ A33999 326 13 necessary necessary JJ A33999 326 14 for for IN A33999 326 15 the the DT A33999 326 16 determining determining NN A33999 326 17 of of IN A33999 326 18 divers diver NNS A33999 326 19 affections affection NNS A33999 326 20 : : : A33999 326 21 The the DT A33999 326 22 Proportion Proportion NNP A33999 326 23 to to TO A33999 326 24 finde finde VB A33999 326 25 it -PRON- PRP A33999 326 26 , , , A33999 326 27 is be VBZ A33999 326 28 : : : A33999 326 29 As as IN A33999 326 30 the the DT A33999 326 31 Radius Radius NNP A33999 326 32 : : : A33999 326 33 Is be VBZ A33999 326 34 to to IN A33999 326 35 the the DT A33999 326 36 Cosine Cosine NNP A33999 326 37 of of IN A33999 326 38 the the DT A33999 326 39 Plains Plains NNP A33999 326 40 Declination Declination NNP A33999 326 41 : : : A33999 326 42 So so RB A33999 326 43 is be VBZ A33999 326 44 the the DT A33999 326 45 Tangent Tangent NNP A33999 326 46 of of IN A33999 326 47 the the DT A33999 326 48 Latitude Latitude NNP A33999 326 49 , , , A33999 326 50 To to IN A33999 326 51 the the DT A33999 326 52 Tangent tangent NN A33999 326 53 of of IN A33999 326 54 the the DT A33999 326 55 Reclination reclination NN A33999 326 56 sought seek VBD A33999 326 57 . . . A33999 327 1 The the DT A33999 327 2 upper upper JJ A33999 327 3 face face NN A33999 327 4 of of IN A33999 327 5 an an DT A33999 327 6 Equinoctial Equinoctial NNP A33999 327 7 Plain Plain NNP A33999 327 8 , , , A33999 327 9 is be VBZ A33999 327 10 called call VBN A33999 327 11 a a DT A33999 327 12 North North NNP A33999 327 13 Recliner Recliner NNP A33999 327 14 , , , A33999 327 15 the the DT A33999 327 16 Meridian meridian JJ A33999 327 17 descends descend VBZ A33999 327 18 from from IN A33999 327 19 the the DT A33999 327 20 end end NN A33999 327 21 of of IN A33999 327 22 the the DT A33999 327 23 Horizontal horizontal JJ A33999 327 24 line line NN A33999 327 25 opposite opposite JJ A33999 327 26 to to IN A33999 327 27 the the DT A33999 327 28 Coast Coast NNP A33999 327 29 of of IN A33999 327 30 Declination Declination NNP A33999 327 31 , , , A33999 327 32 the the DT A33999 327 33 Substilar substilar JJ A33999 327 34 line line NN A33999 327 35 is be VBZ A33999 327 36 the the DT A33999 327 37 hour hour NN A33999 327 38 - - HYPH A33999 327 39 line line NN A33999 327 40 of of IN A33999 327 41 six six CD A33999 327 42 , , , A33999 327 43 and and CC A33999 327 44 maketh maketh NNP A33999 327 45 right right JJ A33999 327 46 Angles Angles NNP A33999 327 47 with with IN A33999 327 48 the the DT A33999 327 49 Meridian meridian JJ A33999 327 50 line line NN A33999 327 51 . . . A33999 328 1 Directions direction NNS A33999 328 2 for for IN A33999 328 3 the the DT A33999 328 4 true true JJ A33999 328 5 Scituating scituating NN A33999 328 6 of of IN A33999 328 7 the the DT A33999 328 8 Meridian Meridian NNP A33999 328 9 and and CC A33999 328 10 Substile Substile NNP A33999 328 11 suited suit VBN A33999 328 12 to to IN A33999 328 13 the the DT A33999 328 14 former former JJ A33999 328 15 method method NN A33999 328 16 of of IN A33999 328 17 Calculation Calculation NNP A33999 328 18 . . . A33999 329 1 1 1 LS A33999 329 2 . . . A33999 330 1 For for IN A33999 330 2 Plains Plains NNPS A33999 330 3 leaning lean VBG A33999 330 4 Northwards Northwards NNPS A33999 330 5 . . . A33999 331 1 If if IN A33999 331 2 a a DT A33999 331 3 South South NNP A33999 331 4 Plain Plain NNP A33999 331 5 recline recline NN A33999 331 6 more more RBR A33999 331 7 then then IN A33999 331 8 a a DT A33999 331 9 Polar Polar NNP A33999 331 10 Plain Plain NNP A33999 331 11 , , , A33999 331 12 having have VBG A33999 331 13 the the DT A33999 331 14 same same JJ A33999 331 15 Declination declination NN A33999 331 16 , , , A33999 331 17 the the DT A33999 331 18 Plain plain JJ A33999 331 19 passeth passeth NN A33999 331 20 beneath beneath IN A33999 331 21 the the DT A33999 331 22 Pole Pole NNP A33999 331 23 of of IN A33999 331 24 the the DT A33999 331 25 World World NNP A33999 331 26 , , , A33999 331 27 the the DT A33999 331 28 North North NNP A33999 331 29 Pole Pole NNP A33999 331 30 is be VBZ A33999 331 31 elevated elevate VBN A33999 331 32 upon upon IN A33999 331 33 the the DT A33999 331 34 upper upper JJ A33999 331 35 face face NN A33999 331 36 , , , A33999 331 37 the the DT A33999 331 38 Substile Substile NNP A33999 331 39 and and CC A33999 331 40 Meridian meridian JJ A33999 331 41 line line NN A33999 331 42 lye lye VBP A33999 331 43 above above IN A33999 331 44 that that DT A33999 331 45 end end NN A33999 331 46 of of IN A33999 331 47 the the DT A33999 331 48 Plains Plains NNPS A33999 331 49 Horizontal horizontal JJ A33999 331 50 line line NN A33999 331 51 , , , A33999 331 52 towards towards IN A33999 331 53 the the DT A33999 331 54 Coast Coast NNP A33999 331 55 of of IN A33999 331 56 Declination Declination NNP A33999 331 57 , , , A33999 331 58 the the DT A33999 331 59 Substilar substilar JJ A33999 331 60 line line NN A33999 331 61 being be VBG A33999 331 62 next next IN A33999 331 63 the the DT A33999 331 64 Plains Plains NNPS A33999 331 65 perpendicular perpendicular NN A33999 331 66 . . . A33999 332 1 For for IN A33999 332 2 the the DT A33999 332 3 under under JJ A33999 332 4 face face NN A33999 332 5 being be VBG A33999 332 6 a a DT A33999 332 7 North North NNP A33999 332 8 Incliner Incliner NNP A33999 332 9 , , , A33999 332 10 the the DT A33999 332 11 South South NNP A33999 332 12 Pole Pole NNP A33999 332 13 is be VBZ A33999 332 14 elevated elevate VBN A33999 332 15 , , , A33999 332 16 the the DT A33999 332 17 lines line NNS A33999 332 18 lye lye VBP A33999 332 19 in in IN A33999 332 20 the the DT A33999 332 21 same same JJ A33999 332 22 position position NN A33999 332 23 below below IN A33999 332 24 the the DT A33999 332 25 plains plain NNS A33999 332 26 Horizontal horizontal JJ A33999 332 27 line line NN A33999 332 28 , , , A33999 332 29 and and CC A33999 332 30 on on IN A33999 332 31 the the DT A33999 332 32 contrary contrary JJ A33999 332 33 side side NN A33999 332 34 of of IN A33999 332 35 the the DT A33999 332 36 plains plains NNPS A33999 332 37 perpendicular perpendicular JJ A33999 332 38 . . . A33999 333 1 If if IN A33999 333 2 a a DT A33999 333 3 South South NNP A33999 333 4 Plains Plains NNPS A33999 333 5 Reclination Reclination NNP A33999 333 6 be be VB A33999 333 7 less less JJR A33999 333 8 then then RB A33999 333 9 the the DT A33999 333 10 Polar Polar NNP A33999 333 11 Plains Plains NNPS A33999 333 12 Reclination Reclination NNP A33999 333 13 , , , A33999 333 14 the the DT A33999 333 15 Plain plain JJ A33999 333 16 passeth passeth NN A33999 333 17 above above IN A33999 333 18 the the DT A33999 333 19 Pole Pole NNP A33999 333 20 , , , A33999 333 21 and and CC A33999 333 22 the the DT A33999 333 23 North North NNP A33999 333 24 Pole Pole NNP A33999 333 25 is be VBZ A33999 333 26 elevated elevate VBN A33999 333 27 on on IN A33999 333 28 the the DT A33999 333 29 under under JJ A33999 333 30 face face NN A33999 333 31 , , , A33999 333 32 being be VBG A33999 333 33 the the DT A33999 333 34 inclining inclining NN A33999 333 35 side side NN A33999 333 36 . . . A33999 334 1 The the DT A33999 334 2 Substile Substile NNP A33999 334 3 and and CC A33999 334 4 meridian meridian NNP A33999 334 5 lye lye NNP A33999 334 6 above above IN A33999 334 7 that that DT A33999 334 8 end end NN A33999 334 9 of of IN A33999 334 10 the the DT A33999 334 11 Plains Plains NNPS A33999 334 12 Horizontal horizontal JJ A33999 334 13 line line NN A33999 334 14 that that WDT A33999 334 15 is be VBZ A33999 334 16 opposite opposite JJ A33999 334 17 to to IN A33999 334 18 the the DT A33999 334 19 Coast Coast NNP A33999 334 20 of of IN A33999 334 21 Declination Declination NNP A33999 334 22 , , , A33999 334 23 the the DT A33999 334 24 meridian meridian NNP A33999 334 25 being be VBG A33999 334 26 nearest near JJS A33999 334 27 the the DT A33999 334 28 Plains Plains NNPS A33999 334 29 perpendicular perpendicular NN A33999 334 30 , , , A33999 334 31 for for IN A33999 334 32 the the DT A33999 334 33 upper upper JJ A33999 334 34 face face NN A33999 334 35 being be VBG A33999 334 36 a a DT A33999 334 37 South South NNP A33999 334 38 Recliner Recliner NNP A33999 334 39 , , , A33999 334 40 the the DT A33999 334 41 South South NNP A33999 334 42 Pole Pole NNP A33999 334 43 is be VBZ A33999 334 44 elevated elevate VBN A33999 334 45 , , , A33999 334 46 and and CC A33999 334 47 the the DT A33999 334 48 lines line NNS A33999 334 49 lye lye VBP A33999 334 50 in in IN A33999 334 51 the the DT A33999 334 52 same same JJ A33999 334 53 Position position NN A33999 334 54 below below IN A33999 334 55 the the DT A33999 334 56 Plains Plains NNP A33999 334 57 horizontal horizontal JJ A33999 334 58 line line NN A33999 334 59 , , , A33999 334 60 but but CC A33999 334 61 on on IN A33999 334 62 the the DT A33999 334 63 contrary contrary JJ A33999 334 64 side side NN A33999 334 65 of of IN A33999 334 66 the the DT A33999 334 67 plains plain NNS A33999 334 68 perpendicular perpendicular JJ A33999 334 69 descending descend VBG A33999 334 70 below below IN A33999 334 71 that that DT A33999 334 72 end end NN A33999 334 73 of of IN A33999 334 74 the the DT A33999 334 75 Horizontal horizontal JJ A33999 334 76 line line NN A33999 334 77 , , , A33999 334 78 opposite opposite IN A33999 334 79 to to IN A33999 334 80 the the DT A33999 334 81 Coast Coast NNP A33999 334 82 of of IN A33999 334 83 Declination Declination NNP A33999 334 84 . . . A33999 335 1 2 2 LS A33999 335 2 . . . A33999 336 1 For for IN A33999 336 2 Plains Plains NNPS A33999 336 3 leaning lean VBG A33999 336 4 Southwards Southwards NNP A33999 336 5 generally generally RB A33999 336 6 on on IN A33999 336 7 the the DT A33999 336 8 upper upper JJ A33999 336 9 face face NN A33999 336 10 the the DT A33999 336 11 North North NNP A33999 336 12 Pole Pole NNP A33999 336 13 is be VBZ A33999 336 14 elevated elevate VBN A33999 336 15 on on IN A33999 336 16 the the DT A33999 336 17 under under JJ A33999 336 18 face face NN A33999 336 19 the the DT A33999 336 20 South South NNP A33999 336 21 Pole Pole NNP A33999 336 22 . . . A33999 337 1 To to TO A33999 337 2 place place VB A33999 337 3 the the DT A33999 337 4 Substile Substile NNP A33999 337 5 . . . A33999 338 1 Such such JJ A33999 338 2 North North NNP A33999 338 3 Recliners Recliners NNPS A33999 338 4 whose whose WP$ A33999 338 5 Reclination Reclination NNP A33999 338 6 is be VBZ A33999 338 7 less less JJR A33999 338 8 then then RB A33999 338 9 the the DT A33999 338 10 complement complement NN A33999 338 11 of of IN A33999 338 12 a a DT A33999 338 13 Polar Polar NNP A33999 338 14 plains plain NNS A33999 338 15 Reclination reclination NN A33999 338 16 , , , A33999 338 17 the the DT A33999 338 18 Substile Substile NNP A33999 338 19 is be VBZ A33999 338 20 elevated elevate VBN A33999 338 21 above above IN A33999 338 22 the the DT A33999 338 23 end end NN A33999 338 24 of of IN A33999 338 25 the the DT A33999 338 26 Horizontal horizontal JJ A33999 338 27 line line NN A33999 338 28 contrary contrary JJ A33999 338 29 to to IN A33999 338 30 the the DT A33999 338 31 Coast Coast NNP A33999 338 32 of of IN A33999 338 33 Declination Declination NNP A33999 338 34 , , , A33999 338 35 and and CC A33999 338 36 on on IN A33999 338 37 the the DT A33999 338 38 under under JJ A33999 338 39 face face NN A33999 338 40 , , , A33999 338 41 being be VBG A33999 338 42 a a DT A33999 338 43 South South NNP A33999 338 44 Incliner Incliner NNP A33999 338 45 , , , A33999 338 46 the the DT A33999 338 47 Substilar Substilar NNP A33999 338 48 is be VBZ A33999 338 49 depressed depress VBN A33999 338 50 below below IN A33999 338 51 the the DT A33999 338 52 end end NN A33999 338 53 of of IN A33999 338 54 the the DT A33999 338 55 Horizontal horizontal JJ A33999 338 56 line line NN A33999 338 57 , , , A33999 338 58 opposite opposite IN A33999 338 59 to to IN A33999 338 60 the the DT A33999 338 61 Coast Coast NNP A33999 338 62 of of IN A33999 338 63 Declination Declination NNP A33999 338 64 . . . A33999 339 1 But but CC A33999 339 2 when when WRB A33999 339 3 the the DT A33999 339 4 Reclination reclination NN A33999 339 5 is be VBZ A33999 339 6 more more RBR A33999 339 7 then then RB A33999 339 8 the the DT A33999 339 9 complement complement NN A33999 339 10 of of IN A33999 339 11 the the DT A33999 339 12 Reclination Reclination NNP A33999 339 13 of of IN A33999 339 14 a a DT A33999 339 15 Polar Polar NNP A33999 339 16 plain plain NN A33999 339 17 , , , A33999 339 18 the the DT A33999 339 19 Substile Substile NNP A33999 339 20 is be VBZ A33999 339 21 to to TO A33999 339 22 lye lye VB A33999 339 23 below below IN A33999 339 24 the the DT A33999 339 25 plains plain NNS A33999 339 26 Horizontal Horizontal NNP A33999 339 27 Line Line NNP A33999 339 28 , , , A33999 339 29 from from IN A33999 339 30 that that DT A33999 339 31 end end NN A33999 339 32 opposite opposite RB A33999 339 33 to to IN A33999 339 34 the the DT A33999 339 35 Coast Coast NNP A33999 339 36 of of IN A33999 339 37 Declination Declination NNP A33999 339 38 . . . A33999 340 1 But but CC A33999 340 2 for for IN A33999 340 3 South South NNP A33999 340 4 Incliners Incliners NNPS A33999 340 5 , , , A33999 340 6 being be VBG A33999 340 7 the the DT A33999 340 8 under under JJ A33999 340 9 face face NN A33999 340 10 , , , A33999 340 11 the the DT A33999 340 12 Substile Substile NNP A33999 340 13 is be VBZ A33999 340 14 elevated elevate VBN A33999 340 15 above above IN A33999 340 16 the the DT A33999 340 17 end end NN A33999 340 18 of of IN A33999 340 19 the the DT A33999 340 20 Horizontal horizontal JJ A33999 340 21 line line NN A33999 340 22 , , , A33999 340 23 opposite opposite IN A33999 340 24 to to IN A33999 340 25 the the DT A33999 340 26 Coast Coast NNP A33999 340 27 of of IN A33999 340 28 Declination Declination NNP A33999 340 29 . . . A33999 341 1 To to TO A33999 341 2 place place VB A33999 341 3 the the DT A33999 341 4 Meridian Meridian NNP A33999 341 5 . . . A33999 342 1 On on IN A33999 342 2 all all DT A33999 342 3 North North NNP A33999 342 4 Recliners Recliners NNPS A33999 342 5 the the DT A33999 342 6 Meridian Meridian NNP A33999 342 7 lies lie VBZ A33999 342 8 below below IN A33999 342 9 the the DT A33999 342 10 Horizontal Horizontal NNP A33999 342 11 Line Line NNP A33999 342 12 from from IN A33999 342 13 that that DT A33999 342 14 end end NN A33999 342 15 thereof thereof RB A33999 342 16 , , , A33999 342 17 opposite opposite IN A33999 342 18 to to IN A33999 342 19 the the DT A33999 342 20 Coast Coast NNP A33999 342 21 of of IN A33999 342 22 Declination Declination NNP A33999 342 23 , , , A33999 342 24 because because IN A33999 342 25 at at IN A33999 342 26 noon noon NN A33999 342 27 the the DT A33999 342 28 Sun Sun NNP A33999 342 29 being be VBG A33999 342 30 South South NNP A33999 342 31 , , , A33999 342 32 casts cast VBZ A33999 342 33 the the DT A33999 342 34 shadow shadow NN A33999 342 35 of of IN A33999 342 36 the the DT A33999 342 37 Stile Stile NNP A33999 342 38 to to IN A33999 342 39 the the DT A33999 342 40 Northwards Northwards NNPS A33999 342 41 . . . A33999 343 1 On on IN A33999 343 2 the the DT A33999 343 3 under under JJ A33999 343 4 face face NN A33999 343 5 , , , A33999 343 6 being be VBG A33999 343 7 a a DT A33999 343 8 South South NNP A33999 343 9 Incliner Incliner NNP A33999 343 10 , , , A33999 343 11 it -PRON- PRP A33999 343 12 must must MD A33999 343 13 always always RB A33999 343 14 be be VB A33999 343 15 placed place VBN A33999 343 16 below below IN A33999 343 17 the the DT A33999 343 18 Horizontal Horizontal NNP A33999 343 19 Line Line NNP A33999 343 20 , , , A33999 343 21 below below IN A33999 343 22 that that DT A33999 343 23 end end NN A33999 343 24 of of IN A33999 343 25 it -PRON- PRP A33999 343 26 toward toward IN A33999 343 27 the the DT A33999 343 28 Coast Coast NNP A33999 343 29 of of IN A33999 343 30 Declination Declination NNP A33999 343 31 . . . A33999 344 1 These these DT A33999 344 2 Directions Directions NNPS A33999 344 3 suppose suppose VBP A33999 344 4 the the DT A33999 344 5 Declination declination NN A33999 344 6 to to TO A33999 344 7 be be VB A33999 344 8 denominated denominate VBN A33999 344 9 from from IN A33999 344 10 the the DT A33999 344 11 Scituation scituation NN A33999 344 12 of of IN A33999 344 13 that that DT A33999 344 14 face face NN A33999 344 15 of of IN A33999 344 16 the the DT A33999 344 17 plain plain NN A33999 344 18 on on IN A33999 344 19 which which WDT A33999 344 20 the the DT A33999 344 21 Dyal Dyal NNP A33999 344 22 is be VBZ A33999 344 23 to to TO A33999 344 24 be be VB A33999 344 25 made make VBN A33999 344 26 , , , A33999 344 27 and and CC A33999 344 28 the the DT A33999 344 29 Horizontal horizontal JJ A33999 344 30 line line NN A33999 344 31 for for IN A33999 344 32 all all DT A33999 344 33 Dyals dyal NNS A33999 344 34 that that WDT A33999 344 35 have have VBP A33999 344 36 Centers Centers NNPS A33999 344 37 , , , A33999 344 38 is be VBZ A33999 344 39 supposed suppose VBN A33999 344 40 to to TO A33999 344 41 pass pass VB A33999 344 42 through through RP A33999 344 43 the the DT A33999 344 44 same same JJ A33999 344 45 . . . A33999 345 1 Now now RB A33999 345 2 to to IN A33999 345 3 the the DT A33999 345 4 Demonstration Demonstration NNP A33999 345 5 of of IN A33999 345 6 the the DT A33999 345 7 former former JJ A33999 345 8 Scheam Scheam NNP A33999 345 9 . . . A33999 346 1 1 1 LS A33999 346 2 . . . A33999 347 1 ' ' `` A33999 347 2 T T NNP A33999 347 3 is be VBZ A33999 347 4 asserted assert VBN A33999 347 5 that that IN A33999 347 6 if if IN A33999 347 7 RV RV NNP A33999 347 8 fall fall VB A33999 347 9 into into IN A33999 347 10 the the DT A33999 347 11 point point NN A33999 347 12 B b NN A33999 347 13 , , , A33999 347 14 the the DT A33999 347 15 plain plain NN A33999 347 16 is be VBZ A33999 347 17 a a DT A33999 347 18 Polar Polar NNP A33999 347 19 plain plain NN A33999 347 20 , , , A33999 347 21 in in IN A33999 347 22 which which WDT A33999 347 23 case case NN A33999 347 24 the the DT A33999 347 25 Stile Stile NNP A33999 347 26 is be VBZ A33999 347 27 parallel parallel JJ A33999 347 28 to to IN A33999 347 29 the the DT A33999 347 30 Axis Axis NNP A33999 347 31 of of IN A33999 347 32 the the DT A33999 347 33 world world NN A33999 347 34 . . . A33999 348 1 Demonstration demonstration NN A33999 348 2 . . . A33999 349 1 Every every DT A33999 349 2 Declining decline VBG A33999 349 3 plain plain NN A33999 349 4 may may MD A33999 349 5 have have VB A33999 349 6 such such PDT A33999 349 7 a a DT A33999 349 8 Reclination reclination NN A33999 349 9 found find VBN A33999 349 10 thereto thereto NN A33999 349 11 , , , A33999 349 12 as as IN A33999 349 13 shall shall MD A33999 349 14 make make VB A33999 349 15 the the DT A33999 349 16 said say VBN A33999 349 17 plain plain RB A33999 349 18 become become VB A33999 349 19 a a DT A33999 349 20 Polar Polar NNP A33999 349 21 plain plain NN A33999 349 22 , , , A33999 349 23 and and CC A33999 349 24 the the DT A33999 349 25 proportion proportion NN A33999 349 26 to to IN A33999 349 27 finde finde NNP A33999 349 28 it -PRON- PRP A33999 349 29 , , , A33999 349 30 may may MD A33999 349 31 be be VB A33999 349 32 thus thus RB A33999 349 33 : : : A33999 349 34 As as IN A33999 349 35 the the DT A33999 349 36 Tangent Tangent NNP A33999 349 37 of of IN A33999 349 38 the the DT A33999 349 39 Latitude Latitude NNP A33999 349 40 , , , A33999 349 41 Is be VBZ A33999 349 42 to to IN A33999 349 43 the the DT A33999 349 44 Cosine Cosine NNP A33999 349 45 of of IN A33999 349 46 the the DT A33999 349 47 Declination Declination NNP A33999 349 48 , , , A33999 349 49 So so RB A33999 349 50 is be VBZ A33999 349 51 the the DT A33999 349 52 Radius Radius NNP A33999 349 53 , , , A33999 349 54 To to IN A33999 349 55 the the DT A33999 349 56 Tangent tangent NN A33999 349 57 of of IN A33999 349 58 the the DT A33999 349 59 Reclination reclination NN A33999 349 60 sought seek VBD A33999 349 61 . . . A33999 350 1 In in IN A33999 350 2 the the DT A33999 350 3 former former JJ A33999 350 4 Scheam Scheam NNP A33999 350 5 . . . A33999 351 1 if if IN A33999 351 2 we -PRON- PRP A33999 351 3 make make VBP A33999 351 4 FG FG NNP A33999 351 5 the the DT A33999 351 6 Cotangent Cotangent NNP A33999 351 7 of of IN A33999 351 8 the the DT A33999 351 9 Latitude Latitude NNP A33999 351 10 Radius Radius NNP A33999 351 11 , , , A33999 351 12 the the DT A33999 351 13 side side NN A33999 351 14 of of IN A33999 351 15 the the DT A33999 351 16 square square NN A33999 351 17 will will MD A33999 351 18 be be VB A33999 351 19 the the DT A33999 351 20 Tangent Tangent NNP A33999 351 21 of of IN A33999 351 22 the the DT A33999 351 23 Latitude Latitude NNP A33999 351 24 , , , A33999 351 25 now now RB A33999 351 26 VO VO NNP A33999 351 27 equal equal JJ A33999 351 28 to to IN A33999 351 29 FG FG NNP A33999 351 30 , , , A33999 351 31 being be VBG A33999 351 32 Radius radius NN A33999 351 33 , , , A33999 351 34 OC OC NNP A33999 351 35 equal equal JJ A33999 351 36 to to IN A33999 351 37 GB GB NNP A33999 351 38 , , , A33999 351 39 is be VBZ A33999 351 40 the the DT A33999 351 41 Cosine Cosine NNP A33999 351 42 of of IN A33999 351 43 the the DT A33999 351 44 Declination Declination NNP A33999 351 45 ; ; : A33999 351 46 wherefore wherefore VBD A33999 351 47 a a DT A33999 351 48 Line Line NNP A33999 351 49 drawn draw VBN A33999 351 50 into into IN A33999 351 51 the the DT A33999 351 52 Center Center NNP A33999 351 53 from from IN A33999 351 54 B B NNP A33999 351 55 , , , A33999 351 56 shall shall MD A33999 351 57 include include VB A33999 351 58 the the DT A33999 351 59 Angle angle NN A33999 351 60 of of IN A33999 351 61 a a DT A33999 351 62 Polar polar JJ A33999 351 63 plains plain NNS A33999 351 64 Reclination reclination NN A33999 351 65 agreeable agreeable JJ A33999 351 66 to to IN A33999 351 67 the the DT A33999 351 68 two two CD A33999 351 69 first first JJ A33999 351 70 terms term NNS A33999 351 71 of of IN A33999 351 72 the the DT A33999 351 73 proportion proportion NN A33999 351 74 , , , A33999 351 75 and and CC A33999 351 76 to to IN A33999 351 77 the the DT A33999 351 78 directions direction NNS A33999 351 79 for for IN A33999 351 80 pricking prick VBG A33999 351 81 off off RP A33999 351 82 an an DT A33999 351 83 Angle Angle NNP A33999 351 84 by by IN A33999 351 85 Tangents tangent NNS A33999 351 86 . . . A33999 352 1 2 2 LS A33999 352 2 . . . A33999 353 1 That that IN A33999 353 2 the the DT A33999 353 3 substile substile NN A33999 353 4 is be VBZ A33999 353 5 true true JJ A33999 353 6 prickt prickt NNS A33999 353 7 off off RP A33999 353 8 . . . A33999 354 1 Upon upon IN A33999 354 2 V V NNP A33999 354 3 as as IN A33999 354 4 a a DT A33999 354 5 Center Center NNP A33999 354 6 with with IN A33999 354 7 the the DT A33999 354 8 Radius Radius NNP A33999 354 9 VB VB NNP A33999 354 10 , , , A33999 354 11 imagine imagine VB A33999 354 12 or or CC A33999 354 13 describe describe VBP A33999 354 14 a a DT A33999 354 15 Circle Circle NNP A33999 354 16 then then RB A33999 354 17 is be VBZ A33999 354 18 BG BG NNP A33999 354 19 equal equal JJ A33999 354 20 to to IN A33999 354 21 VP VP NNP A33999 354 22 , , , A33999 354 23 the the DT A33999 354 24 Sine Sine NNP A33999 354 25 of of IN A33999 354 26 a a DT A33999 354 27 polar polar JJ A33999 354 28 plains plain NNS A33999 354 29 Reclination reclination NN A33999 354 30 , , , A33999 354 31 which which WDT A33999 354 32 is be VBZ A33999 354 33 equal equal JJ A33999 354 34 to to IN A33999 354 35 HA HA NNP A33999 354 36 , , , A33999 354 37 and and CC A33999 354 38 the the DT A33999 354 39 Ark Ark NNP A33999 354 40 comprehended comprehend VBD A33999 354 41 between between IN A33999 354 42 A a NN A33999 354 43 and and CC A33999 354 44 B b NN A33999 354 45 , , , A33999 354 46 will will MD A33999 354 47 be be VB A33999 354 48 a a DT A33999 354 49 Quadrant quadrant NN A33999 354 50 . . . A33999 355 1 But but CC A33999 355 2 in in IN A33999 355 3 a a DT A33999 355 4 Quadrant quadrant NN A33999 355 5 any any DT A33999 355 6 line line NN A33999 355 7 being be VBG A33999 355 8 drawn draw VBN A33999 355 9 from from IN A33999 355 10 the the DT A33999 355 11 Limbe Limbe NNP A33999 355 12 passing pass VBG A33999 355 13 through through IN A33999 355 14 the the DT A33999 355 15 Center Center NNP A33999 355 16 , , , A33999 355 17 the the DT A33999 355 18 nearest near JJS A33999 355 19 distance distance NN A33999 355 20 from from IN A33999 355 21 the the DT A33999 355 22 end end NN A33999 355 23 of of IN A33999 355 24 one one CD A33999 355 25 of of IN A33999 355 26 the the DT A33999 355 27 Radij Radij NNP A33999 355 28 will will MD A33999 355 29 be be VB A33999 355 30 the the DT A33999 355 31 Sine Sine NNP A33999 355 32 of of IN A33999 355 33 the the DT A33999 355 34 Ark Ark NNP A33999 355 35 thence thence NN A33999 355 36 counted count VBD A33999 355 37 , , , A33999 355 38 and and CC A33999 355 39 the the DT A33999 355 40 nearest near JJS A33999 355 41 distance distance NN A33999 355 42 from from IN A33999 355 43 the the DT A33999 355 44 other other JJ A33999 355 45 Radius Radius NNP A33999 355 46 thence thence NN A33999 355 47 counted count VBD A33999 355 48 , , , A33999 355 49 will will MD A33999 355 50 be be VB A33999 355 51 the the DT A33999 355 52 Sine Sine NNP A33999 355 53 of of IN A33999 355 54 the the DT A33999 355 55 former former JJ A33999 355 56 Arks Arks NNP A33999 355 57 complement complement NN A33999 355 58 ; ; : A33999 355 59 so so CC A33999 355 60 in in IN A33999 355 61 this this DT A33999 355 62 Scheam Scheam NNP A33999 355 63 the the DT A33999 355 64 nearest near JJS A33999 355 65 distance distance NN A33999 355 66 from from IN A33999 355 67 B b NN A33999 355 68 to to IN A33999 355 69 RV RV NNP A33999 355 70 , , , A33999 355 71 when when WRB A33999 355 72 a a DT A33999 355 73 plain plain JJ A33999 355 74 Reclines recline NNS A33999 355 75 , , , A33999 355 76 is be VBZ A33999 355 77 the the DT A33999 355 78 Sine Sine NNP A33999 355 79 of of IN A33999 355 80 the the DT A33999 355 81 Ark Ark NNP A33999 355 82 of of IN A33999 355 83 difference difference NN A33999 355 84 , , , A33999 355 85 but but CC A33999 355 86 when when WRB A33999 355 87 it -PRON- PRP A33999 355 88 inclines incline VBZ A33999 355 89 of of IN A33999 355 90 the the DT A33999 355 91 sum sum NN A33999 355 92 of of IN A33999 355 93 the the DT A33999 355 94 Reclination Reclination NNP A33999 355 95 of of IN A33999 355 96 the the DT A33999 355 97 Plain Plain NNP A33999 355 98 proposed propose VBN A33999 355 99 , , , A33999 355 100 and and CC A33999 355 101 of of IN A33999 355 102 the the DT A33999 355 103 Reclination Reclination NNP A33999 355 104 of of IN A33999 355 105 a a DT A33999 355 106 Polar Polar NNP A33999 355 107 plain plain NN A33999 355 108 , , , A33999 355 109 and and CC A33999 355 110 the the DT A33999 355 111 nearest near JJS A33999 355 112 distance distance NN A33999 355 113 from from IN A33999 355 114 A a NN A33999 355 115 to to IN A33999 355 116 RV RV NNP A33999 355 117 , , , A33999 355 118 is be VBZ A33999 355 119 the the DT A33999 355 120 Cosine Cosine NNP A33999 355 121 of of IN A33999 355 122 the the DT A33999 355 123 said say VBD A33999 355 124 Ark Ark NNP A33999 355 125 . . . A33999 356 1 Make make VB A33999 356 2 VQ VQ NNP A33999 356 3 on on IN A33999 356 4 the the DT A33999 356 5 plains plain NNS A33999 356 6 perpendicular perpendicular RB A33999 356 7 equal equal JJ A33999 356 8 to to IN A33999 356 9 IC IC NNP A33999 356 10 , , , A33999 356 11 which which WDT A33999 356 12 is be VBZ A33999 356 13 equal equal JJ A33999 356 14 to to IN A33999 356 15 the the DT A33999 356 16 nearest near JJS A33999 356 17 distance distance NN A33999 356 18 from from IN A33999 356 19 A a NN A33999 356 20 to to IN A33999 356 21 RV RV NNP A33999 356 22 , , , A33999 356 23 and and CC A33999 356 24 from from IN A33999 356 25 the the DT A33999 356 26 point point NN A33999 356 27 Q Q NNP A33999 356 28 erect erect VBP A33999 356 29 the the DT A33999 356 30 perpendicular perpendicular JJ A33999 356 31 QT QT NNP A33999 356 32 , , , A33999 356 33 whereto whereto VB A33999 356 34 the the DT A33999 356 35 line line NN A33999 356 36 PO po NN A33999 356 37 will will MD A33999 356 38 be be VB A33999 356 39 parallel parallel JJ A33999 356 40 , , , A33999 356 41 and and CC A33999 356 42 consequently consequently RB A33999 356 43 there there EX A33999 356 44 will will MD A33999 356 45 be be VB A33999 356 46 a a DT A33999 356 47 proportion proportion NN A33999 356 48 wrought work VBN A33999 356 49 : : : A33999 356 50 Thus thus RB A33999 356 51 it -PRON- PRP A33999 356 52 lyes lye VBZ A33999 356 53 , , , A33999 356 54 As as IN A33999 356 55 VQ VQ NNP A33999 356 56 the the DT A33999 356 57 Cosine Cosine NNP A33999 356 58 of of IN A33999 356 59 the the DT A33999 356 60 sum sum NN A33999 356 61 of of IN A33999 356 62 the the DT A33999 356 63 Polar Polar NNP A33999 356 64 plains plain NNS A33999 356 65 Reclination Reclination NNP A33999 356 66 , , , A33999 356 67 and and CC A33999 356 68 of of IN A33999 356 69 the the DT A33999 356 70 Reclination Reclination NNP A33999 356 71 of of IN A33999 356 72 the the DT A33999 356 73 plain plain RB A33999 356 74 proposed propose VBN A33999 356 75 , , , A33999 356 76 Is be VBZ A33999 356 77 to to IN A33999 356 78 PV PV NNP A33999 356 79 equal equal JJ A33999 356 80 to to IN A33999 356 81 BG BG NNP A33999 356 82 , , , A33999 356 83 the the DT A33999 356 84 Sine Sine NNP A33999 356 85 of of IN A33999 356 86 a a DT A33999 356 87 Polar Polar NNP A33999 356 88 Plains Plains NNPS A33999 356 89 Reclination Reclination NNP A33999 356 90 . . . A33999 357 1 These these DT A33999 357 2 two two CD A33999 357 3 terms term NNS A33999 357 4 are be VBP A33999 357 5 of of IN A33999 357 6 one one CD A33999 357 7 Radius Radius NNP A33999 357 8 , , , A33999 357 9 namely namely RB A33999 357 10 VB VB NNP A33999 357 11 , , , A33999 357 12 So so RB A33999 357 13 is be VBZ A33999 357 14 the the DT A33999 357 15 tangent tangent NN A33999 357 16 of of IN A33999 357 17 the the DT A33999 357 18 Declination Declination NNP A33999 357 19 QT QT NNP A33999 357 20 , , , A33999 357 21 To to IN A33999 357 22 the the DT A33999 357 23 tangent tangent NN A33999 357 24 of of IN A33999 357 25 the the DT A33999 357 26 substiles substile NNS A33999 357 27 distance distance NN A33999 357 28 from from IN A33999 357 29 the the DT A33999 357 30 plains plain NNS A33999 357 31 perpendicular perpendicular JJ A33999 357 32 PO PO NNP A33999 357 33 , , , A33999 357 34 These these DT A33999 357 35 two two CD A33999 357 36 terms term NNS A33999 357 37 are be VBP A33999 357 38 to to IN A33999 357 39 another another DT A33999 357 40 Radius radius NN A33999 357 41 , , , A33999 357 42 namely namely RB A33999 357 43 QV QV NNP A33999 357 44 , , , A33999 357 45 then then RB A33999 357 46 if if IN A33999 357 47 the the DT A33999 357 48 Tangent Tangent NNP A33999 357 49 of of IN A33999 357 50 an an DT A33999 357 51 Ark Ark NNP A33999 357 52 be be VB A33999 357 53 erected erect VBN A33999 357 54 on on IN A33999 357 55 its -PRON- PRP$ A33999 357 56 own own JJ A33999 357 57 Radius Radius NNP A33999 357 58 , , , A33999 357 59 as as IN A33999 357 60 here here RB A33999 357 61 is be VBZ A33999 357 62 QI QI NNP A33999 357 63 equal equal JJ A33999 357 64 to to IN A33999 357 65 CV CV NNP A33999 357 66 , , , A33999 357 67 and and CC A33999 357 68 a a DT A33999 357 69 line line NN A33999 357 70 be be VB A33999 357 71 drawn draw VBN A33999 357 72 from from IN A33999 357 73 the the DT A33999 357 74 extreamity extreamity NN A33999 357 75 into into IN A33999 357 76 the the DT A33999 357 77 Center Center NNP A33999 357 78 , , , A33999 357 79 the the DT A33999 357 80 Angle Angle NNP A33999 357 81 belonging belong VBG A33999 357 82 to to IN A33999 357 83 that that DT A33999 357 84 Tangent Tangent NNP A33999 357 85 shall shall MD A33999 357 86 be be VB A33999 357 87 prickt prickt NNS A33999 357 88 off off RP A33999 357 89 agreeable agreeable JJ A33999 357 90 to to IN A33999 357 91 the the DT A33999 357 92 general general JJ A33999 357 93 direction direction NN A33999 357 94 . . . A33999 358 1 3 3 LS A33999 358 2 . . . A33999 359 1 That that IN A33999 359 2 the the DT A33999 359 3 stiles stile NNS A33999 359 4 height height NN A33999 359 5 is be VBZ A33999 359 6 true true JJ A33999 359 7 prickt prickt NNS A33999 359 8 off off RP A33999 359 9 . . . A33999 360 1 The the DT A33999 360 2 Proportion Proportion NNP A33999 360 3 altered alter VBD A33999 360 4 to to TO A33999 360 5 bring bring VB A33999 360 6 the the DT A33999 360 7 Radius Radius NNP A33999 360 8 in in IN A33999 360 9 the the DT A33999 360 10 third third JJ A33999 360 11 place place NN A33999 360 12 will will MD A33999 360 13 be be VB A33999 360 14 , , , A33999 360 15 As as IN A33999 360 16 the the DT A33999 360 17 Secant secant NN A33999 360 18 of of IN A33999 360 19 the the DT A33999 360 20 substiles substile NNS A33999 360 21 distance distance NN A33999 360 22 from from IN A33999 360 23 the the DT A33999 360 24 Plains Plains NNPS A33999 360 25 perpendicular perpendicular NN A33999 360 26 , , , A33999 360 27 Is be VBZ A33999 360 28 to to IN A33999 360 29 the the DT A33999 360 30 tangent tangent NN A33999 360 31 of of IN A33999 360 32 the the DT A33999 360 33 sum sum NN A33999 360 34 or or CC A33999 360 35 difference difference NN A33999 360 36 of of IN A33999 360 37 Reclinations Reclinations NNP A33999 360 38 , , , A33999 360 39 as as IN A33999 360 40 before before RB A33999 360 41 limited limited JJ A33999 360 42 , , , A33999 360 43 So so RB A33999 360 44 is be VBZ A33999 360 45 the the DT A33999 360 46 Radius Radius NNP A33999 360 47 , , , A33999 360 48 To to IN A33999 360 49 the the DT A33999 360 50 tangent tangent NN A33999 360 51 of of IN A33999 360 52 the the DT A33999 360 53 stiles stile NNS A33999 360 54 height height NN A33999 360 55 . . . A33999 361 1 In in IN A33999 361 2 the the DT A33999 361 3 Scheam Scheam NNP A33999 361 4 making make VBG A33999 361 5 VQ VQ NNP A33999 361 6 Radius Radius NNP A33999 361 7 , , , A33999 361 8 VI VI NNP A33999 361 9 becomes become VBZ A33999 361 10 the the DT A33999 361 11 Secant secant NN A33999 361 12 of of IN A33999 361 13 the the DT A33999 361 14 substiles substile NNS A33999 361 15 distance distance NN A33999 361 16 from from IN A33999 361 17 the the DT A33999 361 18 Plains Plains NNPS A33999 361 19 perpendicular perpendicular NN A33999 361 20 , , , A33999 361 21 and and CC A33999 361 22 the the DT A33999 361 23 nearstdiestance nearstdiestance NN A33999 361 24 from from IN A33999 361 25 B B NNP A33999 361 26 to to IN A33999 361 27 RV RV NNP A33999 361 28 , , , A33999 361 29 is be VBZ A33999 361 30 the the DT A33999 361 31 tangent tangent NN A33999 361 32 of of IN A33999 361 33 the the DT A33999 361 34 difference difference NN A33999 361 35 or or CC A33999 361 36 sum sum NN A33999 361 37 of of IN A33999 361 38 the the DT A33999 361 39 Reclinations Reclinations NNPS A33999 361 40 , , , A33999 361 41 which which WDT A33999 361 42 when when WRB A33999 361 43 VB VB NNP A33999 361 44 was be VBD A33999 361 45 Radius Radius NNP A33999 361 46 , , , A33999 361 47 was be VBD A33999 361 48 but but CC A33999 361 49 the the DT A33999 361 50 Sine Sine NNP A33999 361 51 thereof thereof RB A33999 361 52 , , , A33999 361 53 the the DT A33999 361 54 reason reason NN A33999 361 55 why why WRB A33999 361 56 it -PRON- PRP A33999 361 57 now now RB A33999 361 58 becomes become VBZ A33999 361 59 a a DT A33999 361 60 tangent tangent NN A33999 361 61 , , , A33999 361 62 is be VBZ A33999 361 63 because because IN A33999 361 64 the the DT A33999 361 65 Consine Consine NNP A33999 361 66 of of IN A33999 361 67 the the DT A33999 361 68 said say VBD A33999 361 69 Ark Ark NNP A33999 361 70 VQ VQ NNP A33999 361 71 , , , A33999 361 72 is be VBZ A33999 361 73 made make VBN A33999 361 74 Radius Radius NNP A33999 361 75 : : : A33999 361 76 But but CC A33999 361 77 , , , A33999 361 78 As as IN A33999 361 79 the the DT A33999 361 80 Cosine Cosine NNP A33999 361 81 of of IN A33999 361 82 any any DT A33999 361 83 Ark Ark NNP A33999 361 84 , , , A33999 361 85 Is be VBZ A33999 361 86 to to IN A33999 361 87 the the DT A33999 361 88 Radius Radius NNP A33999 361 89 , , , A33999 361 90 So so RB A33999 361 91 is be VBZ A33999 361 92 the the DT A33999 361 93 Sine Sine NNP A33999 361 94 of of IN A33999 361 95 the the DT A33999 361 96 said say VBD A33999 361 97 Ark Ark NNP A33999 361 98 , , , A33999 361 99 To to IN A33999 361 100 the the DT A33999 361 101 tangent tangent NN A33999 361 102 of of IN A33999 361 103 the the DT A33999 361 104 said say VBN A33999 361 105 Ark Ark NNP A33999 361 106 . . . A33999 362 1 Therefore therefore RB A33999 362 2 the the DT A33999 362 3 nearest near JJS A33999 362 4 distance distance NN A33999 362 5 from from IN A33999 362 6 B b NN A33999 362 7 to to TO A33999 362 8 RV RV NNP A33999 362 9 equal equal JJ A33999 362 10 to to IN A33999 362 11 IK IK NNP A33999 362 12 , , , A33999 362 13 being be VBG A33999 362 14 erected erect VBN A33999 362 15 thereon thereon NN A33999 362 16 , , , A33999 362 17 and and CC A33999 362 18 a a DT A33999 362 19 line line NN A33999 362 20 from from IN A33999 362 21 the the DT A33999 362 22 extreamity extreamity NN A33999 362 23 drawn draw VBN A33999 362 24 into into IN A33999 362 25 the the DT A33999 362 26 Center Center NNP A33999 362 27 , , , A33999 362 28 shall shall MD A33999 362 29 prick prick VB A33999 362 30 off off RP A33999 362 31 the the DT A33999 362 32 stiles stile NNS A33999 362 33 height height NN A33999 362 34 suitable suitable JJ A33999 362 35 to to IN A33999 362 36 the the DT A33999 362 37 two two CD A33999 362 38 first first JJ A33999 362 39 terms term NNS A33999 362 40 of of IN A33999 362 41 the the DT A33999 362 42 former former JJ A33999 362 43 proportion proportion NN A33999 362 44 , , , A33999 362 45 and and CC A33999 362 46 to to IN A33999 362 47 the the DT A33999 362 48 general general JJ A33999 362 49 direction direction NN A33999 362 50 for for IN A33999 362 51 pricking prick VBG A33999 362 52 off off RP A33999 362 53 an an DT A33999 362 54 Angle Angle NNP A33999 362 55 by by IN A33999 362 56 Tangents tangent NNS A33999 362 57 . . . A33999 363 1 4 4 LS A33999 363 2 . . . A33999 364 1 That that IN A33999 364 2 the the DT A33999 364 3 Meridian Meridian NNP A33999 364 4 is be VBZ A33999 364 5 true true JJ A33999 364 6 prickt prickt NNS A33999 364 7 off off RP A33999 364 8 , , , A33999 364 9 the the DT A33999 364 10 Proportion Proportion NNP A33999 364 11 to to TO A33999 364 12 effect effect VB A33999 364 13 it -PRON- PRP A33999 364 14 : : : A33999 364 15 Is be VBZ A33999 364 16 , , , A33999 364 17 As as IN A33999 364 18 the the DT A33999 364 19 Cotangent Cotangent NNP A33999 364 20 of of IN A33999 364 21 the the DT A33999 364 22 Plains Plains NNP A33999 364 23 Declination Declination NNP A33999 364 24 , , , A33999 364 25 Is be VBZ A33999 364 26 to to IN A33999 364 27 the the DT A33999 364 28 Sine Sine NNP A33999 364 29 of of IN A33999 364 30 the the DT A33999 364 31 Re Re NNP A33999 364 32 Inclination Inclination NNP A33999 364 33 , , , A33999 364 34 So so RB A33999 364 35 is be VBZ A33999 364 36 the the DT A33999 364 37 Radius Radius NNP A33999 364 38 , , , A33999 364 39 To to IN A33999 364 40 the the DT A33999 364 41 tangent tangent NN A33999 364 42 of of IN A33999 364 43 the the DT A33999 364 44 Meridian Meridian NNP A33999 364 45 from from IN A33999 364 46 the the DT A33999 364 47 Plains Plains NNPS A33999 364 48 perpendicular perpendicular NN A33999 364 49 . . . A33999 365 1 If if IN A33999 365 2 VC VC NNP A33999 365 3 be be VB A33999 365 4 made make VBN A33999 365 5 Radius Radius NNP A33999 365 6 , , , A33999 365 7 then then RB A33999 365 8 is be VBZ A33999 365 9 CO CO NNP A33999 365 10 equal equal JJ A33999 365 11 to to IN A33999 365 12 VP VP NNP A33999 365 13 the the DT A33999 365 14 Tangent Tangent NNP A33999 365 15 of of IN A33999 365 16 the the DT A33999 365 17 complement complement NN A33999 365 18 of of IN A33999 365 19 the the DT A33999 365 20 Plains Plains NNP A33999 365 21 Declination Declination NNP A33999 365 22 , , , A33999 365 23 and and CC A33999 365 24 the the DT A33999 365 25 nearest near JJS A33999 365 26 distance distance NN A33999 365 27 from from IN A33999 365 28 C C NNP A33999 365 29 to to IN A33999 365 30 RV RV NNP A33999 365 31 , , , A33999 365 32 is be VBZ A33999 365 33 the the DT A33999 365 34 Sine Sine NNP A33999 365 35 of of IN A33999 365 36 the the DT A33999 365 37 Re Re NNP A33999 365 38 Inclination Inclination NNP A33999 365 39 to to IN A33999 365 40 the the DT A33999 365 41 same same JJ A33999 365 42 Radius Radius NNP A33999 365 43 , , , A33999 365 44 which which WDT A33999 365 45 is be VBZ A33999 365 46 erected erect VBN A33999 365 47 perpendicularly perpendicularly RB A33999 365 48 on on IN A33999 365 49 VP VP NNP A33999 365 50 suitable suitable JJ A33999 365 51 to to IN A33999 365 52 the the DT A33999 365 53 two two CD A33999 365 54 first first JJ A33999 365 55 terms term NNS A33999 365 56 of of IN A33999 365 57 the the DT A33999 365 58 proportion proportion NN A33999 365 59 and and CC A33999 365 60 the the DT A33999 365 61 General General NNP A33999 365 62 Direction Direction NNP A33999 365 63 . . . A33999 366 1 Lastly lastly RB A33999 366 2 , , , A33999 366 3 that that IN A33999 366 4 VK VK NNP A33999 366 5 is be VBZ A33999 366 6 equal equal JJ A33999 366 7 to to IN A33999 366 8 VF VF NNP A33999 366 9 , , , A33999 366 10 these these DT A33999 366 11 Symbols symbol NNS A33999 366 12 are be VBP A33999 366 13 used use VBN A33999 366 14 , , , A33999 366 15 q q NNP A33999 366 16 signifieth signifieth NNP A33999 366 17 square square NNP A33999 366 18 , , , A33999 366 19 + + CC A33999 366 20 for for IN A33999 366 21 more more JJR A33999 366 22 or or CC A33999 366 23 Addition addition NN A33999 366 24 , , , A33999 366 25 = = NFP A33999 366 26 equal equal JJ A33999 366 27 . . . A33999 367 1 VBq VBq NNS A33999 367 2 = = SYM A33999 367 3 VQq VQq NNS A33999 367 4 + + CC A33999 367 5 IKq IKq NNS A33999 367 6 , , , A33999 367 7 the the DT A33999 367 8 reason reason NN A33999 367 9 is be VBZ A33999 367 10 because because IN A33999 367 11 VB VB NNP A33999 367 12 being be VBG A33999 367 13 Radius Radius NNP A33999 367 14 , , , A33999 367 15 VQ VQ NNP A33999 367 16 is be VBZ A33999 367 17 the the DT A33999 367 18 Cosine Cosine NNP A33999 367 19 of of IN A33999 367 20 an an DT A33999 367 21 Ark Ark NNP A33999 367 22 to to IN A33999 367 23 that that DT A33999 367 24 Radius Radius NNP A33999 367 25 , , , A33999 367 26 and and CC A33999 367 27 IK IK NNP A33999 367 28 the the DT A33999 367 29 Sine Sine NNP A33999 367 30 by by IN A33999 367 31 construction construction NN A33999 367 32 . . . A33999 368 1 VBq VBq NNP A33999 368 2 = = SYM A33999 368 3 VGq VGq NNP A33999 368 4 + + SYM A33999 368 5 GBq GBq NNS A33999 368 6 , , , A33999 368 7 therefore therefore RB A33999 368 8 these these DT A33999 368 9 two two CD A33999 368 10 squares square NNS A33999 368 11 are be VBP A33999 368 12 equal equal JJ A33999 368 13 to to IN A33999 368 14 the the DT A33999 368 15 two two CD A33999 368 16 before before RB A33999 368 17 . . . A33999 369 1 If if IN A33999 369 2 to to IN A33999 369 3 the the DT A33999 369 4 latter latter JJ A33999 369 5 part part NN A33999 369 6 of of IN A33999 369 7 each each DT A33999 369 8 of of IN A33999 369 9 these these DT A33999 369 10 Equations equation NNS A33999 369 11 , , , A33999 369 12 we -PRON- PRP A33999 369 13 adde adde VBP A33999 369 14 QIq QIq NNPS A33999 369 15 or or CC A33999 369 16 rather rather RB A33999 369 17 its -PRON- PRP$ A33999 369 18 equal equal JJ A33999 369 19 POq POq NNS A33999 369 20 , , , A33999 369 21 the the DT A33999 369 22 sum sum NN A33999 369 23 shall shall MD A33999 369 24 be be VB A33999 369 25 equal equal JJ A33999 369 26 to to IN A33999 369 27 VKq VKq NNS A33999 369 28 . . . A33999 370 1 I -PRON- PRP A33999 370 2 say say VBP A33999 370 3 then then RB A33999 370 4 VQq VQq NNS A33999 370 5 + + CC A33999 370 6 IKq IKq NNS A33999 370 7 + + CC A33999 370 8 POq POq NNS A33999 370 9 = = SYM A33999 370 10 VKq VKq NNS A33999 370 11 , , , A33999 370 12 this this DT A33999 370 13 will will MD A33999 370 14 be be VB A33999 370 15 granted grant VBN A33999 370 16 from from IN A33999 370 17 the the DT A33999 370 18 former former JJ A33999 370 19 Demonstration Demonstration NNP A33999 370 20 for for IN A33999 370 21 upright upright JJ A33999 370 22 Decliners Decliners NNPS A33999 370 23 . . . A33999 371 1 Again again RB A33999 371 2 , , , A33999 371 3 VGq VGq NNP A33999 371 4 + + CC A33999 371 5 GBq GBq NNS A33999 371 6 + + CC A33999 371 7 POq POq NNS A33999 371 8 = = SYM A33999 371 9 VFq VFq NNS A33999 371 10 , , , A33999 371 11 therefore therefore RB A33999 371 12 VF VF NNP A33999 371 13 is be VBZ A33999 371 14 equal equal JJ A33999 371 15 to to IN A33999 371 16 VK VK NNP A33999 371 17 , , , A33999 371 18 this this DT A33999 371 19 can can MD A33999 371 20 not not RB A33999 371 21 be be VB A33999 371 22 denyed denyed JJ A33999 371 23 , , , A33999 371 24 because because IN A33999 371 25 , , , A33999 371 26 VGq VGq NNP A33999 371 27 + + SYM A33999 371 28 FGq FGq NNS A33999 371 29 = = SYM A33999 371 30 VFq VFq NNS A33999 371 31 . . . A33999 372 1 And and CC A33999 372 2 the the DT A33999 372 3 two two CD A33999 372 4 squares square NNS A33999 372 5 GBq GBq NNS A33999 372 6 , , , A33999 372 7 or or CC A33999 372 8 rather rather RB A33999 372 9 VPq VPq NNS A33999 372 10 + + SYM A33999 372 11 POq POq NNS A33999 372 12 are be VBP A33999 372 13 equal equal JJ A33999 372 14 to to IN A33999 372 15 GFq GFq NNP A33999 372 16 , , , A33999 372 17 which which WDT A33999 372 18 is be VBZ A33999 372 19 equal equal JJ A33999 372 20 to to IN A33999 372 21 VOq VOq NNP A33999 372 22 by by IN A33999 372 23 Construction Construction NNP A33999 372 24 . . . A33999 373 1 To to TO A33999 373 2 draw draw VB A33999 373 3 the the DT A33999 373 4 hour hour NN A33999 373 5 - - HYPH A33999 373 6 lines line NNS A33999 373 7 for for IN A33999 373 8 the the DT A33999 373 9 former former JJ A33999 373 10 South South NNP A33999 373 11 Plain Plain NNP A33999 373 12 , , , A33999 373 13 Declining decline VBG A33999 373 14 Eastwards eastward NNS A33999 373 15 40 40 CD A33999 373 16 degrees degree NNS A33999 373 17 , , , A33999 373 18 Inclining incline VBG A33999 373 19 15 15 CD A33999 373 20 degrees degree NNS A33999 373 21 Latitude Latitude NNP A33999 373 22 , , , A33999 373 23 51 51 CD A33999 373 24 degrees degree NNS A33999 373 25 , , , A33999 373 26 32 32 CD A33999 373 27 minutes minute NNS A33999 373 28 . . . A33999 374 1 First first RB A33999 374 2 having have VBG A33999 374 3 assigned assign VBN A33999 374 4 the the DT A33999 374 5 Center Center NNP A33999 374 6 of of IN A33999 374 7 the the DT A33999 374 8 Dyal Dyal NNP A33999 374 9 , , , A33999 374 10 through through IN A33999 374 11 the the DT A33999 374 12 same same JJ A33999 374 13 draw draw NN A33999 374 14 the the DT A33999 374 15 plains plain NNS A33999 374 16 perpendicular perpendicular JJ A33999 374 17 , , , A33999 374 18 represented represent VBN A33999 374 19 by by IN A33999 374 20 the the DT A33999 374 21 prickt prickt NNS A33999 374 22 line line NN A33999 374 23 CN CN NNP A33999 374 24 , , , A33999 374 25 and and CC A33999 374 26 with with IN A33999 374 27 the the DT A33999 374 28 Radius Radius NNP A33999 374 29 of of IN A33999 374 30 the the DT A33999 374 31 former former JJ A33999 374 32 Scheam Scheam NNP A33999 374 33 upon upon IN A33999 374 34 C C NNP A33999 374 35 as as IN A33999 374 36 a a DT A33999 374 37 Center Center NNP A33999 374 38 , , , A33999 374 39 describe describe VB A33999 374 40 an an DT A33999 374 41 Occult Occult NNP A33999 374 42 Ark Ark NNP A33999 374 43 , , , A33999 374 44 and and CC A33999 374 45 therein therein RB A33999 374 46 set set VBN A33999 374 47 off off RP A33999 374 48 NV NV NNP A33999 374 49 equal equal JJ A33999 374 50 to to IN A33999 374 51 the the DT A33999 374 52 substiles substile NNS A33999 374 53 distance distance NN A33999 374 54 from from IN A33999 374 55 the the DT A33999 374 56 plains plain NNS A33999 374 57 perpendicular perpendicular JJ A33999 374 58 , , , A33999 374 59 and and CC A33999 374 60 through through IN A33999 374 61 the the DT A33999 374 62 point point NN A33999 374 63 V v NN A33999 374 64 draw draw VBP A33999 374 65 the the DT A33999 374 66 Substilar Substilar NNP A33999 374 67 , , , A33999 374 68 and and CC A33999 374 69 upon upon IN A33999 374 70 V v NN A33999 374 71 as as IN A33999 374 72 a a DT A33999 374 73 Center Center NNP A33999 374 74 , , , A33999 374 75 describe describe VB A33999 374 76 the the DT A33999 374 77 Circle Circle NNP A33999 374 78 , , , A33999 374 79 and and CC A33999 374 80 prick prick VB A33999 374 81 off off RP A33999 374 82 the the DT A33999 374 83 Meridians Meridians NNPS A33999 374 84 distance distance NN A33999 374 85 from from IN A33999 374 86 the the DT A33999 374 87 the the DT A33999 374 88 Substile Substile NNP A33999 374 89 in in IN A33999 374 90 the the DT A33999 374 91 former former JJ A33999 374 92 Scheam Scheam NNP A33999 374 93 , , , A33999 374 94 namely namely RB A33999 374 95 YX YX VBZ A33999 374 96 twice twice RB A33999 374 97 in in IN A33999 374 98 this this DT A33999 374 99 Circle Circle NNP A33999 374 100 from from IN A33999 374 101 I -PRON- PRP A33999 374 102 to to IN A33999 374 103 O o NN A33999 374 104 , , , A33999 374 105 and and CC A33999 374 106 draw draw VB A33999 374 107 CO CO NNP A33999 374 108 for for IN A33999 374 109 the the DT A33999 374 110 Meridian Meridian NNP A33999 374 111 , , , A33999 374 112 after after IN A33999 374 113 the the DT A33999 374 114 same same JJ A33999 374 115 manner manner NN A33999 374 116 set set VBD A33999 374 117 off off RP A33999 374 118 the the DT A33999 374 119 Stile Stile NNP A33999 374 120 , , , A33999 374 121 then then RB A33999 374 122 finde finde NNP A33999 374 123 the the DT A33999 374 124 Regulating Regulating NNP A33999 374 125 point point NN A33999 374 126 Sol Sol NNP A33999 374 127 , , , A33999 374 128 divide divide VB A33999 374 129 the the DT A33999 374 130 Circle Circle NNP A33999 374 131 , , , A33999 374 132 and and CC A33999 374 133 draw draw VB A33999 374 134 the the DT A33999 374 135 hour hour NN A33999 374 136 - - HYPH A33999 374 137 lines line NNS A33999 374 138 according accord VBG A33999 374 139 to to IN A33999 374 140 former former JJ A33999 374 141 Directions Directions NNPS A33999 374 142 , , , A33999 374 143 and and CC A33999 374 144 when when WRB A33999 374 145 hour hour NN A33999 374 146 - - HYPH A33999 374 147 lines line NNS A33999 374 148 are be VBP A33999 374 149 to to TO A33999 374 150 lye lye VB A33999 374 151 both both CC A33999 374 152 above above IN A33999 374 153 and and CC A33999 374 154 below below IN A33999 374 155 the the DT A33999 374 156 Center Center NNP A33999 374 157 , , , A33999 374 158 they -PRON- PRP A33999 374 159 are be VBP A33999 374 160 to to TO A33999 374 161 be be VB A33999 374 162 drawn draw VBN A33999 374 163 through through IN A33999 374 164 . . . A33999 375 1 To to TO A33999 375 2 fit fit VB A33999 375 3 the the DT A33999 375 4 Dyalling dyalle VBG A33999 375 5 Scheam Scheam NNP A33999 375 6 , , , A33999 375 7 for for IN A33999 375 8 Latitudes latitude NNS A33999 375 9 under under IN A33999 375 10 45 45 CD A33999 375 11 degrees degree NNS A33999 375 12 . . . A33999 376 1 A a DT A33999 376 2 South South NNP A33999 376 3 Plain Plain NNP A33999 376 4 Declining Declining NNP A33999 376 5 50 50 CD A33999 376 6 degrees degree NNS A33999 376 7 East East NNP A33999 376 8 , , , A33999 376 9 Inclining incline VBG A33999 376 10 20 20 CD A33999 376 11 degrees degree NNS A33999 376 12 , , , A33999 376 13 Latitude Latitude NNP A33999 376 14 30 30 CD A33999 376 15 degrees degree NNS A33999 376 16 . . . A33999 377 1 The the DT A33999 377 2 former former JJ A33999 377 3 Construction Construction NNP A33999 377 4 would would MD A33999 377 5 serve serve VB A33999 377 6 , , , A33999 377 7 if if IN A33999 377 8 the the DT A33999 377 9 sides side NNS A33999 377 10 of of IN A33999 377 11 the the DT A33999 377 12 square square NN A33999 377 13 were be VBD A33999 377 14 produced produce VBN A33999 377 15 far far RB A33999 377 16 enough enough RB A33999 377 17 , , , A33999 377 18 but but CC A33999 377 19 to to TO A33999 377 20 shun shun VB A33999 377 21 any any DT A33999 377 22 such such JJ A33999 377 23 excursion excursion NN A33999 377 24 , , , A33999 377 25 make make VB A33999 377 26 VO VO NNP A33999 377 27 equal equal JJ A33999 377 28 to to IN A33999 377 29 the the DT A33999 377 30 side side NN A33999 377 31 of of IN A33999 377 32 the the DT A33999 377 33 square square NN A33999 377 34 , , , A33999 377 35 and and CC A33999 377 36 through through IN A33999 377 37 the the DT A33999 377 38 point point NN A33999 377 39 F F NNP A33999 377 40 , , , A33999 377 41 draw draw VB A33999 377 42 a a DT A33999 377 43 parallel parallel NN A33999 377 44 to to IN A33999 377 45 the the DT A33999 377 46 Plains Plains NNPS A33999 377 47 perpendicular perpendicular JJ A33999 377 48 , , , A33999 377 49 and and CC A33999 377 50 where where WRB A33999 377 51 the the DT A33999 377 52 parallel parallel JJ A33999 377 53 OP op NN A33999 377 54 produced produce VBD A33999 377 55 interesects interesect NNS A33999 377 56 it -PRON- PRP A33999 377 57 , , , A33999 377 58 is be VBZ A33999 377 59 the the DT A33999 377 60 point point NN A33999 377 61 B b NN A33999 377 62 , , , A33999 377 63 upon upon IN A33999 377 64 V V NNP A33999 377 65 as as IN A33999 377 66 a a DT A33999 377 67 Center Center NNP A33999 377 68 , , , A33999 377 69 with with IN A33999 377 70 the the DT A33999 377 71 extent extent NN A33999 377 72 page page NN A33999 377 73 34 34 CD A33999 377 74 A a DT A33999 377 75 South South NNP A33999 377 76 Diall Diall NNP A33999 377 77 Declin Declin NNP A33999 377 78 40d 40d NNPS A33999 377 79 East East NNP A33999 377 80 Inclin Inclin NNP A33999 377 81 15′ 15′ CD A33999 377 82 Latit Latit NNP A33999 377 83 52 52 CD A33999 377 84 - - SYM A33999 377 85 32 32 CD A33999 377 86 A a DT A33999 377 87 South South NNP A33999 377 88 plain plain JJ A33999 377 89 Declin declin NN A33999 377 90 50d 50d NNPS A33999 377 91 East East NNP A33999 377 92 Inclining incline VBG A33999 377 93 20d 20d NNS A33999 377 94 Lat Lat NNP A33999 377 95 30d 30d NNS A33999 377 96 A a DT A33999 377 97 South South NNP A33999 377 98 plain plain JJ A33999 377 99 Declin Declin NNP A33999 377 100 30d 30d , A33999 377 101 East East NNP A33999 377 102 Reclining Reclining NNP A33999 377 103 34 34 CD A33999 377 104 - - SYM A33999 377 105 31 31 CD A33999 377 106 Lat Lat NNP A33999 377 107 51 51 CD A33999 377 108 - - SYM A33999 377 109 32 32 CD A33999 377 110 page page NN A33999 377 111 35 35 CD A33999 377 112 A a NN A33999 377 113 South South NNP A33999 377 114 plaine plaine JJ A33999 377 115 Declin Declin NNP A33999 377 116 30d 30d NNP A33999 377 117 East East NNP A33999 377 118 Reclining Reclining NNP A33999 377 119 25d 25d CD A33999 377 120 Lat Lat NNP A33999 377 121 51 51 CD A33999 377 122 - - SYM A33999 377 123 32 32 CD A33999 377 124 page page NN A33999 377 125 37 37 CD A33999 377 126 VB VB NNP A33999 377 127 , , , A33999 377 128 draw draw VB A33999 377 129 the the DT A33999 377 130 Arch Arch NNP A33999 377 131 ZB ZB NNP A33999 377 132 , , , A33999 377 133 and and CC A33999 377 134 prick prick VB A33999 377 135 off off RP A33999 377 136 a a DT A33999 377 137 Quadrant Quadrant NNP A33999 377 138 thereof thereof RB A33999 377 139 from from IN A33999 377 140 the the DT A33999 377 141 point point NN A33999 377 142 B b NN A33999 377 143 , , , A33999 377 144 and and CC A33999 377 145 it -PRON- PRP A33999 377 146 will will MD A33999 377 147 finde finde VB A33999 377 148 the the DT A33999 377 149 point point NN A33999 377 150 A a NN A33999 377 151 , , , A33999 377 152 the the DT A33999 377 153 point point NN A33999 377 154 C C NNP A33999 377 155 is be VBZ A33999 377 156 found find VBN A33999 377 157 no no RB A33999 377 158 otherwise otherwise RB A33999 377 159 then then RB A33999 377 160 before before RB A33999 377 161 ; ; : A33999 377 162 and and CC A33999 377 163 now now RB A33999 377 164 having have VBG A33999 377 165 these these DT A33999 377 166 three three CD A33999 377 167 points point NNS A33999 377 168 , , , A33999 377 169 the the DT A33999 377 170 whole whole JJ A33999 377 171 work work NN A33999 377 172 is be VBZ A33999 377 173 to to TO A33999 377 174 be be VB A33999 377 175 finished finish VBN A33999 377 176 according accord VBG A33999 377 177 to to IN A33999 377 178 those those DT A33999 377 179 Directions Directions NNPS A33999 377 180 , , , A33999 377 181 to to TO A33999 377 182 which which WDT A33999 377 183 when when WRB A33999 377 184 the the DT A33999 377 185 Stile Stile NNP A33999 377 186 hath hath NN A33999 377 187 a a DT A33999 377 188 competent competent JJ A33999 377 189 height height NN A33999 377 190 , , , A33999 377 191 nothing nothing NN A33999 377 192 need need VBP A33999 377 193 more more JJR A33999 377 194 be be VB A33999 377 195 added add VBN A33999 377 196 , , , A33999 377 197 unless unless IN A33999 377 198 it -PRON- PRP A33999 377 199 be be VB A33999 377 200 some some DT A33999 377 201 examples example NNS A33999 377 202 . . . A33999 378 1 How how WRB A33999 378 2 to to TO A33999 378 3 draw draw VB A33999 378 4 such such JJ A33999 378 5 Dyals dyal NNS A33999 378 6 whereon whereon VB A33999 378 7 the the DT A33999 378 8 Stile Stile NNP A33999 378 9 hath hath NN A33999 378 10 no no DT A33999 378 11 elevation elevation NN A33999 378 12 as as IN A33999 378 13 Polar Polar NNP A33999 378 14 Plains Plains NNPS A33999 378 15 , , , A33999 378 16 or or CC A33999 378 17 but but CC A33999 378 18 very very RB A33999 378 19 small small JJ A33999 378 20 elevation elevation NN A33999 378 21 , , , A33999 378 22 as as IN A33999 378 23 in in IN A33999 378 24 upright upright JJ A33999 378 25 far far JJ A33999 378 26 Decliners Decliners NNPS A33999 378 27 , , , A33999 378 28 and and CC A33999 378 29 many many JJ A33999 378 30 leaning lean VBG A33999 378 31 Plains Plains NNPS A33999 378 32 . . . A33999 379 1 These these DT A33999 379 2 plains plain NNS A33999 379 3 are be VBP A33999 379 4 known know VBN A33999 379 5 easily easily RB A33999 379 6 , , , A33999 379 7 for for IN A33999 379 8 if if IN A33999 379 9 the the DT A33999 379 10 Re Re NNP A33999 379 11 - - SYM A33999 379 12 Inclination Inclination NNP A33999 379 13 pass pass VBP A33999 379 14 through through IN A33999 379 15 the the DT A33999 379 16 point point NN A33999 379 17 B b NN A33999 379 18 , , , A33999 379 19 the the DT A33999 379 20 plain plain NN A33999 379 21 is be VBZ A33999 379 22 a a DT A33999 379 23 Polar Polar NNP A33999 379 24 plain plain NN A33999 379 25 , , , A33999 379 26 and and CC A33999 379 27 the the DT A33999 379 28 Substile Substile NNP A33999 379 29 is be VBZ A33999 379 30 to to TO A33999 379 31 be be VB A33999 379 32 found find VBN A33999 379 33 by by IN A33999 379 34 the the DT A33999 379 35 former former JJ A33999 379 36 Construction Construction NNP A33999 379 37 , , , A33999 379 38 which which WDT A33999 379 39 the the DT A33999 379 40 Scheam Scheam NNP A33999 379 41 makes make VBZ A33999 379 42 the the DT A33999 379 43 same same JJ A33999 379 44 with with IN A33999 379 45 the the DT A33999 379 46 Meridian Meridian NNP A33999 379 47 : : : A33999 379 48 moreover moreover RB A33999 379 49 , , , A33999 379 50 another another DT A33999 379 51 Ark Ark NNP A33999 379 52 is be VBZ A33999 379 53 to to TO A33999 379 54 be be VB A33999 379 55 found find VBN A33999 379 56 , , , A33999 379 57 called call VBN A33999 379 58 the the DT A33999 379 59 Inclination Inclination NNP A33999 379 60 of of IN A33999 379 61 Meridians Meridians NNPS A33999 379 62 : : : A33999 379 63 The the DT A33999 379 64 proportion proportion NN A33999 379 65 to to IN A33999 379 66 finde finde NNP A33999 379 67 it -PRON- PRP A33999 379 68 , , , A33999 379 69 is be VBZ A33999 379 70 : : : A33999 379 71 As as IN A33999 379 72 the the DT A33999 379 73 Radius Radius NNP A33999 379 74 , , , A33999 379 75 Is be VBZ A33999 379 76 to to IN A33999 379 77 the the DT A33999 379 78 Sine Sine NNP A33999 379 79 of of IN A33999 379 80 the the DT A33999 379 81 Latitude Latitude NNP A33999 379 82 , , , A33999 379 83 So so RB A33999 379 84 is be VBZ A33999 379 85 the the DT A33999 379 86 tangent tangent NN A33999 379 87 of of IN A33999 379 88 the the DT A33999 379 89 Declination Declination NNP A33999 379 90 , , , A33999 379 91 To to IN A33999 379 92 the the DT A33999 379 93 tangent tangent NN A33999 379 94 of of IN A33999 379 95 the the DT A33999 379 96 Inclination Inclination NNP A33999 379 97 of of IN A33999 379 98 Meridians Meridians NNPS A33999 379 99 . . . A33999 380 1 If if IN A33999 380 2 CO CO NNP A33999 380 3 be be VB A33999 380 4 made make VBN A33999 380 5 Radius Radius NNP A33999 380 6 , , , A33999 380 7 CV CV NNP A33999 380 8 will will MD A33999 380 9 be be VB A33999 380 10 the the DT A33999 380 11 Tangent Tangent NNP A33999 380 12 of of IN A33999 380 13 the the DT A33999 380 14 Declination declination NN A33999 380 15 , , , A33999 380 16 which which WDT A33999 380 17 enter enter VBP A33999 380 18 on on IN A33999 380 19 VL VL NNP A33999 380 20 from from IN A33999 380 21 V V NNP A33999 380 22 to to IN A33999 380 23 K K NNP A33999 380 24 , , , A33999 380 25 and and CC A33999 380 26 the the DT A33999 380 27 nearest near JJS A33999 380 28 distance distance NN A33999 380 29 from from IN A33999 380 30 K K NNP A33999 380 31 to to IN A33999 380 32 SV SV NNP A33999 380 33 shall shall MD A33999 380 34 be be VB A33999 380 35 the the DT A33999 380 36 Tangent Tangent NNP A33999 380 37 of of IN A33999 380 38 the the DT A33999 380 39 Inclination Inclination NNP A33999 380 40 of of IN A33999 380 41 Meridians Meridians NNPS A33999 380 42 , , , A33999 380 43 which which WDT A33999 380 44 is be VBZ A33999 380 45 to to TO A33999 380 46 be be VB A33999 380 47 prickt prickt NNS A33999 380 48 on on IN A33999 380 49 its -PRON- PRP$ A33999 380 50 own own JJ A33999 380 51 Radius radius NN A33999 380 52 from from IN A33999 380 53 P p NN A33999 380 54 to to IN A33999 380 55 M m NN A33999 380 56 , , , A33999 380 57 and and CC A33999 380 58 draw draw VB A33999 380 59 a a DT A33999 380 60 line line NN A33999 380 61 from from IN A33999 380 62 the the DT A33999 380 63 Center Center NNP A33999 380 64 , , , A33999 380 65 passing pass VBG A33999 380 66 through through IN A33999 380 67 M M NNP A33999 380 68 to to IN A33999 380 69 the the DT A33999 380 70 Limbe Limbe NNP A33999 380 71 , , , A33999 380 72 whereto whereto NN A33999 380 73 set set NNP A33999 380 74 F F NNP A33999 380 75 , , , A33999 380 76 so so RB A33999 380 77 is be VBZ A33999 380 78 the the DT A33999 380 79 Arch Arch NNP A33999 380 80 NF NF NNP A33999 380 81 the the DT A33999 380 82 Inclination Inclination NNP A33999 380 83 of of IN A33999 380 84 Meridians Meridians NNPS A33999 380 85 sought seek VBD A33999 380 86 , , , A33999 380 87 to to IN A33999 380 88 wit wit NN A33999 380 89 , , , A33999 380 90 the the DT A33999 380 91 Arch Arch NNP A33999 380 92 of of IN A33999 380 93 time time NN A33999 380 94 between between IN A33999 380 95 the the DT A33999 380 96 substile substile NNP A33999 380 97 and and CC A33999 380 98 Meridian Meridian NNP A33999 380 99 . . . A33999 381 1 To to TO A33999 381 2 draw draw VB A33999 381 3 the the DT A33999 381 4 hour hour NN A33999 381 5 - - HYPH A33999 381 6 lines line NNS A33999 381 7 . . . A33999 382 1 First first RB A33999 382 2 draw draw VB A33999 382 3 a a DT A33999 382 4 perpendicular perpendicular NN A33999 382 5 on on IN A33999 382 6 the the DT A33999 382 7 Plain plain JJ A33999 382 8 VN VN NNP A33999 382 9 , , , A33999 382 10 and and CC A33999 382 11 upon upon IN A33999 382 12 V v NN A33999 382 13 as as IN A33999 382 14 a a DT A33999 382 15 Center Center NNP A33999 382 16 , , , A33999 382 17 describe describe VB A33999 382 18 the the DT A33999 382 19 Arch Arch NNP A33999 382 20 of of IN A33999 382 21 a a DT A33999 382 22 Circle Circle NNP A33999 382 23 , , , A33999 382 24 and and CC A33999 382 25 from from IN A33999 382 26 the the DT A33999 382 27 Dyalling dyalle VBG A33999 382 28 Scheam Scheam NNP A33999 382 29 prick prick NN A33999 382 30 off off RP A33999 382 31 the the DT A33999 382 32 substiles substiles NNP A33999 382 33 distance distance NN A33999 382 34 , , , A33999 382 35 and and CC A33999 382 36 draw draw VB A33999 382 37 IV IV NNP A33999 382 38 which which WDT A33999 382 39 shall shall MD A33999 382 40 represent represent VB A33999 382 41 the the DT A33999 382 42 same same JJ A33999 382 43 , , , A33999 382 44 as as IN A33999 382 45 also also RB A33999 382 46 the the DT A33999 382 47 Inclination Inclination NNP A33999 382 48 of of IN A33999 382 49 Meridians Meridians NNPS A33999 382 50 from from IN A33999 382 51 I -PRON- PRP A33999 382 52 to to IN A33999 382 53 f f LS A33999 382 54 , , , A33999 382 55 then then RB A33999 382 56 upon upon IN A33999 382 57 V V NNP A33999 382 58 as as IN A33999 382 59 a a DT A33999 382 60 Center Center NNP A33999 382 61 , , , A33999 382 62 describe describe VBP A33999 382 63 as as RB A33999 382 64 great great JJ A33999 382 65 a a DT A33999 382 66 Circle Circle NNP A33999 382 67 as as IN A33999 382 68 the the DT A33999 382 69 plain plain NN A33999 382 70 will will MD A33999 382 71 admit admit VB A33999 382 72 , , , A33999 382 73 and and CC A33999 382 74 finde finde NNP A33999 382 75 the the DT A33999 382 76 point point NN A33999 382 77 f f NNP A33999 382 78 , , , A33999 382 79 therein therein RB A33999 382 80 also also RB A33999 382 81 , , , A33999 382 82 by by IN A33999 382 83 laying lay VBG A33999 382 84 a a DT A33999 382 85 Ruler ruler NN A33999 382 86 over over IN A33999 382 87 V V NNP A33999 382 88 the the DT A33999 382 89 Center Center NNP A33999 382 90 , , , A33999 382 91 and and CC A33999 382 92 f f NN A33999 382 93 in in IN A33999 382 94 the the DT A33999 382 95 former former JJ A33999 382 96 Circle Circle NNP A33999 382 97 , , , A33999 382 98 and and CC A33999 382 99 from from IN A33999 382 100 the the DT A33999 382 101 said say VBN A33999 382 102 point point NN A33999 382 103 divide divide VBP A33999 382 104 the the DT A33999 382 105 Circle Circle NNP A33999 382 106 into into IN A33999 382 107 twenty twenty CD A33999 382 108 four four CD A33999 382 109 equal equal JJ A33999 382 110 parts part NNS A33999 382 111 for for IN A33999 382 112 the the DT A33999 382 113 whole whole JJ A33999 382 114 hours hour NNS A33999 382 115 ( ( -LRB- A33999 382 116 but but CC A33999 382 117 we -PRON- PRP A33999 382 118 shall shall MD A33999 382 119 not not RB A33999 382 120 need need VB A33999 382 121 above above IN A33999 382 122 half half NN A33999 382 123 of of IN A33999 382 124 them -PRON- PRP A33999 382 125 ) ) -RRB- A33999 382 126 then then RB A33999 382 127 determine determine VBP A33999 382 128 what what WP A33999 382 129 shall shall MD A33999 382 130 be be VB A33999 382 131 the the DT A33999 382 132 parallel parallel JJ A33999 382 133 height height NN A33999 382 134 of of IN A33999 382 135 the the DT A33999 382 136 Stile Stile NNP A33999 382 137 above above IN A33999 382 138 the the DT A33999 382 139 Substile Substile NNP A33999 382 140 , , , A33999 382 141 and and CC A33999 382 142 prick prick VB A33999 382 143 the the DT A33999 382 144 same same JJ A33999 382 145 on on IN A33999 382 146 the the DT A33999 382 147 Substilar substilar JJ A33999 382 148 line line NN A33999 382 149 , , , A33999 382 150 from from IN A33999 382 151 V V NNP A33999 382 152 the the DT A33999 382 153 Center Center NNP A33999 382 154 to to IN A33999 382 155 I -PRON- PRP A33999 382 156 , , , A33999 382 157 through through IN A33999 382 158 which which WDT A33999 382 159 point point NN A33999 382 160 draw draw VBP A33999 382 161 a a DT A33999 382 162 Contingent contingent JJ A33999 382 163 line line NN A33999 382 164 at at IN A33999 382 165 right right JJ A33999 382 166 Angles angle NNS A33999 382 167 to to IN A33999 382 168 the the DT A33999 382 169 Substile Substile NNP A33999 382 170 , , , A33999 382 171 and and CC A33999 382 172 laying lay VBG A33999 382 173 a a DT A33999 382 174 Ruler ruler NN A33999 382 175 from from IN A33999 382 176 the the DT A33999 382 177 Center Center NNP A33999 382 178 over over IN A33999 382 179 each each DT A33999 382 180 of of IN A33999 382 181 the the DT A33999 382 182 divisions division NNS A33999 382 183 of of IN A33999 382 184 the the DT A33999 382 185 Circle Circle NNP A33999 382 186 , , , A33999 382 187 through through IN A33999 382 188 the the DT A33999 382 189 points point NNS A33999 382 190 where where WRB A33999 382 191 it -PRON- PRP A33999 382 192 intersects intersect VBZ A33999 382 193 the the DT A33999 382 194 Contingent contingent JJ A33999 382 195 line line NN A33999 382 196 , , , A33999 382 197 if if IN A33999 382 198 lines line NNS A33999 382 199 be be VBP A33999 382 200 drawn draw VBN A33999 382 201 parallel parallel JJ A33999 382 202 to to IN A33999 382 203 the the DT A33999 382 204 Substile Substile NNP A33999 382 205 , , , A33999 382 206 they -PRON- PRP A33999 382 207 shall shall MD A33999 382 208 be be VB A33999 382 209 the the DT A33999 382 210 hour hour NN A33999 382 211 - - HYPH A33999 382 212 lines line NNS A33999 382 213 required require VBN A33999 382 214 , , , A33999 382 215 the the DT A33999 382 216 hour hour NN A33999 382 217 - - HYPH A33999 382 218 line line NN A33999 382 219 that that WDT A33999 382 220 belongs belong VBZ A33999 382 221 to to IN A33999 382 222 the the DT A33999 382 223 point point NN A33999 382 224 f f NNP A33999 382 225 being be VBG A33999 382 226 the the DT A33999 382 227 Meridian meridian JJ A33999 382 228 - - HYPH A33999 382 229 line line NN A33999 382 230 or or CC A33999 382 231 hour hour NN A33999 382 232 - - HYPH A33999 382 233 line line NN A33999 382 234 of of IN A33999 382 235 12 12 CD A33999 382 236 , , , A33999 382 237 after after IN A33999 382 238 the the DT A33999 382 239 same same JJ A33999 382 240 manner manner NN A33999 382 241 are be VBP A33999 382 242 the the DT A33999 382 243 halfs halfs NNP A33999 382 244 and and CC A33999 382 245 quarters quarter NNS A33999 382 246 to to TO A33999 382 247 be be VB A33999 382 248 inscribed inscribe VBN A33999 382 249 , , , A33999 382 250 if if IN A33999 382 251 the the DT A33999 382 252 Contingent Contingent NNP A33999 382 253 line line NN A33999 382 254 be be VB A33999 382 255 too too RB A33999 382 256 high high JJ A33999 382 257 , , , A33999 382 258 the the DT A33999 382 259 Center Center NNP A33999 382 260 V v NN A33999 382 261 may may MD A33999 382 262 be be VB A33999 382 263 placed place VBN A33999 382 264 lower lower RBR A33999 382 265 , , , A33999 382 266 if if IN A33999 382 267 it -PRON- PRP A33999 382 268 be be VB A33999 382 269 required require VBN A33999 382 270 , , , A33999 382 271 to to TO A33999 382 272 fit fit VB A33999 382 273 so so RB A33999 382 274 many many JJ A33999 382 275 hours hour NNS A33999 382 276 precise precise JJ A33999 382 277 to to IN A33999 382 278 the the DT A33999 382 279 Plain Plain NNP A33999 382 280 ; ; : A33999 382 281 first first RB A33999 382 282 draw draw VB A33999 382 283 it -PRON- PRP A33999 382 284 very very RB A33999 382 285 large large JJ A33999 382 286 upon upon IN A33999 382 287 some some DT A33999 382 288 Floor Floor NNP A33999 382 289 , , , A33999 382 290 and and CC A33999 382 291 then then RB A33999 382 292 it -PRON- PRP A33999 382 293 may may MD A33999 382 294 be be VB A33999 382 295 proportioned proportion VBN A33999 382 296 out out RP A33999 382 297 for for IN A33999 382 298 a a DT A33999 382 299 lesser less JJR A33999 382 300 Plain Plain NNP A33999 382 301 at at IN A33999 382 302 pleasure pleasure NN A33999 382 303 , , , A33999 382 304 as as IN A33999 382 305 was be VBD A33999 382 306 mentioned mention VBN A33999 382 307 for for IN A33999 382 308 East East NNP A33999 382 309 or or CC A33999 382 310 West West NNP A33999 382 311 Plains Plains NNPS A33999 382 312 . . . A33999 383 1 A a DT A33999 383 2 South South NNP A33999 383 3 Plain Plain NNP A33999 383 4 , , , A33999 383 5 Declining decline VBG A33999 383 6 Eastwards eastward NNS A33999 383 7 , , , A33999 383 8 30 30 CD A33999 383 9 degrees degree NNS A33999 383 10 , , , A33999 383 11 Reclining recline VBG A33999 383 12 34 34 CD A33999 383 13 degrees degree NNS A33999 383 14 , , , A33999 383 15 31 31 CD A33999 383 16 minutes minute NNS A33999 383 17 . . . A33999 384 1 The the DT A33999 384 2 Scheam Scheam NNP A33999 384 3 placeth placeth VBP A33999 384 4 all all DT A33999 384 5 things thing NNS A33999 384 6 right right JJ A33999 384 7 for for IN A33999 384 8 Equinoctial Equinoctial NNP A33999 384 9 Reclining Reclining NNP A33999 384 10 Plains Plains NNPS A33999 384 11 , , , A33999 384 12 without without IN A33999 384 13 any any DT A33999 384 14 further further JJ A33999 384 15 caution caution NN A33999 384 16 . . . A33999 385 1 To to TO A33999 385 2 draw draw VB A33999 385 3 the the DT A33999 385 4 Hour hour NN A33999 385 5 - - HYPH A33999 385 6 lines line NNS A33999 385 7 on on IN A33999 385 8 such such JJ A33999 385 9 Plains Plains NNPS A33999 385 10 , , , A33999 385 11 where where WRB A33999 385 12 the the DT A33999 385 13 Stile Stile NNP A33999 385 14 hath hath NN A33999 385 15 but but CC A33999 385 16 small small JJ A33999 385 17 elevation elevation NN A33999 385 18 . . . A33999 386 1 A a DT A33999 386 2 South South NNP A33999 386 3 Plain Plain NNP A33999 386 4 Declining decline VBG A33999 386 5 30 30 CD A33999 386 6 degrees degree NNS A33999 386 7 Eastwards eastward NNS A33999 386 8 , , , A33999 386 9 Reclining recline VBG A33999 386 10 25 25 CD A33999 386 11 degrees degree NNS A33999 386 12 , , , A33999 386 13 Latitude Latitude NNP A33999 386 14 51 51 CD A33999 386 15 degrees degree NNS A33999 386 16 32 32 CD A33999 386 17 minutes minute NNS A33999 386 18 . . . A33999 387 1 In in IN A33999 387 2 these these DT A33999 387 3 Plains Plains NNPS A33999 387 4 , , , A33999 387 5 because because IN A33999 387 6 the the DT A33999 387 7 hour hour NN A33999 387 8 - - HYPH A33999 387 9 lines line NNS A33999 387 10 will will MD A33999 387 11 run run VB A33999 387 12 close close RB A33999 387 13 together together RB A33999 387 14 , , , A33999 387 15 the the DT A33999 387 16 Dyal Dyal NNP A33999 387 17 must must MD A33999 387 18 be be VB A33999 387 19 drawn draw VBN A33999 387 20 without without IN A33999 387 21 a a DT A33999 387 22 Center Center NNP A33999 387 23 , , , A33999 387 24 by by IN A33999 387 25 help help NN A33999 387 26 of of IN A33999 387 27 two two CD A33999 387 28 Contingent contingent JJ A33999 387 29 lines line NNS A33999 387 30 , , , A33999 387 31 and and CC A33999 387 32 first first RB A33999 387 33 of of IN A33999 387 34 all all PDT A33999 387 35 the the DT A33999 387 36 Inclination Inclination NNP A33999 387 37 of of IN A33999 387 38 Meridians Meridians NNPS A33999 387 39 must must MD A33999 387 40 be be VB A33999 387 41 known know VBN A33999 387 42 , , , A33999 387 43 thereby thereby RB A33999 387 44 is be VBZ A33999 387 45 meant mean VBN A33999 387 46 the the DT A33999 387 47 Arch Arch NNP A33999 387 48 of of IN A33999 387 49 time time NN A33999 387 50 between between IN A33999 387 51 the the DT A33999 387 52 Substile Substile NNP A33999 387 53 and and CC A33999 387 54 the the DT A33999 387 55 Meridian meridian JJ A33999 387 56 line line NN A33999 387 57 or or CC A33999 387 58 hour hour NN A33999 387 59 line line NN A33999 387 60 of of IN A33999 387 61 12 12 CD A33999 387 62 , , , A33999 387 63 and and CC A33999 387 64 that that DT A33999 387 65 may may MD A33999 387 66 be be VB A33999 387 67 found find VBN A33999 387 68 several several JJ A33999 387 69 ways way NNS A33999 387 70 ; ; : A33999 387 71 here here RB A33999 387 72 I -PRON- PRP A33999 387 73 shall shall MD A33999 387 74 follow follow VB A33999 387 75 the the DT A33999 387 76 proportion proportion NN A33999 387 77 in in IN A33999 387 78 Sines Sines NNP A33999 387 79 before before RB A33999 387 80 delivered deliver VBN A33999 387 81 . . . A33999 388 1 Making make VBG A33999 388 2 VI VI NNP A33999 388 3 Radius Radius NNP A33999 388 4 prick prick VB A33999 388 5 the the DT A33999 388 6 same same JJ A33999 388 7 on on IN A33999 388 8 the the DT A33999 388 9 Latitude Latitude NNP A33999 388 10 line line NN A33999 388 11 VL VL NNP A33999 388 12 , , , A33999 388 13 and and CC A33999 388 14 from from IN A33999 388 15 the the DT A33999 388 16 point point NN A33999 388 17 found find VBD A33999 388 18 , , , A33999 388 19 take take VB A33999 388 20 the the DT A33999 388 21 nearest near JJS A33999 388 22 distance distance NN A33999 388 23 to to IN A33999 388 24 the the DT A33999 388 25 Horizontal horizontal JJ A33999 388 26 line line NN A33999 388 27 , , , A33999 388 28 place place VB A33999 388 29 this this DT A33999 388 30 extent extent NN A33999 388 31 from from IN A33999 388 32 V V NNP A33999 388 33 to to IN A33999 388 34 F f NN A33999 388 35 , , , A33999 388 36 and and CC A33999 388 37 draw draw VB A33999 388 38 CF CF NNP A33999 388 39 ; ; : A33999 388 40 then then RB A33999 388 41 take take VB A33999 388 42 the the DT A33999 388 43 nearest near JJS A33999 388 44 distance distance NN A33999 388 45 from from IN A33999 388 46 R r NN A33999 388 47 to to IN A33999 388 48 the the DT A33999 388 49 Plains Plains NNP A33999 388 50 Vertical Vertical NNP A33999 388 51 SN SN NNP A33999 388 52 , , , A33999 388 53 which which WDT A33999 388 54 place place VBP A33999 388 55 from from IN A33999 388 56 V V NNP A33999 388 57 to to IN A33999 388 58 Q Q NNP A33999 388 59 , , , A33999 388 60 then then RB A33999 388 61 draw draw VB A33999 388 62 QT QT NNP A33999 388 63 parallel parallel NN A33999 388 64 to to IN A33999 388 65 FC FC NNP A33999 388 66 , , , A33999 388 67 so so RB A33999 388 68 is be VBZ A33999 388 69 VT VT NNP A33999 388 70 the the DT A33999 388 71 Sine Sine NNP A33999 388 72 of of IN A33999 388 73 the the DT A33999 388 74 Inclination Inclination NNP A33999 388 75 of of IN A33999 388 76 Meridians Meridians NNPS A33999 388 77 , , , A33999 388 78 which which WDT A33999 388 79 may may MD A33999 388 80 be be VB A33999 388 81 easily easily RB A33999 388 82 measured measure VBN A33999 388 83 in in IN A33999 388 84 the the DT A33999 388 85 Limbe Limbe NNP A33999 388 86 by by IN A33999 388 87 the the DT A33999 388 88 Arch Arch NNP A33999 388 89 SY SY NNP A33999 388 90 , , , A33999 388 91 by by IN A33999 388 92 drawing draw VBG A33999 388 93 a a DT A33999 388 94 line line NN A33999 388 95 parallel parallel JJ A33999 388 96 to to IN A33999 388 97 the the DT A33999 388 98 Plains Plains NNPS A33999 388 99 perpendicular perpendicular JJ A33999 388 100 from from IN A33999 388 101 the the DT A33999 388 102 point point NN A33999 388 103 T t NN A33999 388 104 , , , A33999 388 105 or or CC A33999 388 106 by by IN A33999 388 107 pricking prick VBG A33999 388 108 the the DT A33999 388 109 same same JJ A33999 388 110 on on IN A33999 388 111 HA HA NNP A33999 388 112 produced produce VBN A33999 388 113 , , , A33999 388 114 and and CC A33999 388 115 laying lay VBG A33999 388 116 a a DT A33999 388 117 Ruler ruler NN A33999 388 118 thereto thereto NN A33999 388 119 , , , A33999 388 120 or or CC A33999 388 121 by by IN A33999 388 122 drawing draw VBG A33999 388 123 the the DT A33999 388 124 touch touch NN A33999 388 125 of of IN A33999 388 126 an an DT A33999 388 127 Arch Arch NNP A33999 388 128 with with IN A33999 388 129 VT VT NNP A33999 388 130 upon upon IN A33999 388 131 S S NNP A33999 388 132 as as IN A33999 388 133 a a DT A33999 388 134 Center Center NNP A33999 388 135 , , , A33999 388 136 then then RB A33999 388 137 a a DT A33999 388 138 Ruler ruler NN A33999 388 139 laid lay VBD A33999 388 140 from from IN A33999 388 141 V v NN A33999 388 142 touching touch VBG A33999 388 143 the the DT A33999 388 144 outward outward JJ A33999 388 145 Extremity Extremity NNP A33999 388 146 of of IN A33999 388 147 that that DT A33999 388 148 Arch Arch NNP A33999 388 149 , , , A33999 388 150 findes find VBZ A33999 388 151 the the DT A33999 388 152 point point NN A33999 388 153 Y. y. NN A33999 389 1 Moreover moreover RB A33999 389 2 , , , A33999 389 3 we -PRON- PRP A33999 389 4 need need VBP A33999 389 5 not not RB A33999 389 6 make make VB A33999 389 7 VI VI NNP A33999 389 8 Radius Radius NNP A33999 389 9 , , , A33999 389 10 but but CC A33999 389 11 prick prick VB A33999 389 12 the the DT A33999 389 13 nearest near JJS A33999 389 14 distance distance NN A33999 389 15 from from IN A33999 389 16 L L NNP A33999 389 17 to to IN A33999 389 18 VE VE NNP A33999 389 19 , , , A33999 389 20 from from IN A33999 389 21 V V NNP A33999 389 22 upwards upward NNS A33999 389 23 , , , A33999 389 24 then then RB A33999 389 25 the the DT A33999 389 26 nearest near JJS A33999 389 27 distance distance NN A33999 389 28 to to IN A33999 389 29 the the DT A33999 389 30 Plains Plains NNPS A33999 389 31 perpendicular perpendicular JJ A33999 389 32 from from IN A33999 389 33 the the DT A33999 389 34 Intersection intersection NN A33999 389 35 of of IN A33999 389 36 the the DT A33999 389 37 Substile Substile NNP A33999 389 38 , , , A33999 389 39 with with IN A33999 389 40 the the DT A33999 389 41 Limbe Limbe NNP A33999 389 42 must must MD A33999 389 43 be be VB A33999 389 44 placed place VBN A33999 389 45 from from IN A33999 389 46 V V NNP A33999 389 47 towards towards IN A33999 389 48 W w NN A33999 389 49 , , , A33999 389 50 and and CC A33999 389 51 from from IN A33999 389 52 the the DT A33999 389 53 two two CD A33999 389 54 points point NNS A33999 389 55 thus thus RB A33999 389 56 found find VBD A33999 389 57 a a DT A33999 389 58 line line NN A33999 389 59 drawn draw VBN A33999 389 60 , , , A33999 389 61 and and CC A33999 389 62 the the DT A33999 389 63 rest rest NN A33999 389 64 of of IN A33999 389 65 the the DT A33999 389 66 work work NN A33999 389 67 , , , A33999 389 68 as as IN A33999 389 69 before before RB A33999 389 70 . . . A33999 390 1 To to TO A33999 390 2 draw draw VB A33999 390 3 the the DT A33999 390 4 Hour Hour NNP A33999 390 5 - - HYPH A33999 390 6 lines line NNS A33999 390 7 . . . A33999 391 1 First first RB A33999 391 2 draw draw VB A33999 391 3 the the DT A33999 391 4 Plains Plains NNPS A33999 391 5 perpendicular perpendicular JJ A33999 391 6 CN CN NNP A33999 391 7 , , , A33999 391 8 and and CC A33999 391 9 draw draw VB A33999 391 10 an an DT A33999 391 11 Occult Occult NNP A33999 391 12 Arch Arch NNP A33999 391 13 , , , A33999 391 14 wherein wherein WRB A33999 391 15 prick prick VB A33999 391 16 down down RP A33999 391 17 NY NY NNP A33999 391 18 and and CC A33999 391 19 NK NK NNP A33999 391 20 , , , A33999 391 21 and and CC A33999 391 22 draw draw VB A33999 391 23 the the DT A33999 391 24 Substile Substile NNP A33999 391 25 and and CC A33999 391 26 Stile Stile NNP A33999 391 27 as as IN A33999 391 28 before before RB A33999 391 29 , , , A33999 391 30 making make VBG A33999 391 31 the the DT A33999 391 32 same same JJ A33999 391 33 Angles angle NNS A33999 391 34 . . . A33999 392 1 Through through IN A33999 392 2 any any DT A33999 392 3 two two CD A33999 392 4 points point NNS A33999 392 5 in in IN A33999 392 6 the the DT A33999 392 7 Substile Substile NNP A33999 392 8 , , , A33999 392 9 as as IN A33999 392 10 at at IN A33999 392 11 A a NN A33999 392 12 and and CC A33999 392 13 B b NN A33999 392 14 , , , A33999 392 15 draw draw VB A33999 392 16 two two CD A33999 392 17 right right JJ A33999 392 18 lines line NNS A33999 392 19 continued continue VBD A33999 392 20 , , , A33999 392 21 making make VBG A33999 392 22 right right JJ A33999 392 23 Angles Angles NNP A33999 392 24 therewith therewith NNP A33999 392 25 . . . A33999 393 1 Draw draw VB A33999 393 2 a a DT A33999 393 3 line line NN A33999 393 4 parallel parallel JJ A33999 393 5 to to IN A33999 393 6 the the DT A33999 393 7 Stile Stile NNP A33999 393 8 at at IN A33999 393 9 any any DT A33999 393 10 convenient convenient JJ A33999 393 11 distance distance NN A33999 393 12 , , , A33999 393 13 which which WDT A33999 393 14 is be VBZ A33999 393 15 to to TO A33999 393 16 represent represent VB A33999 393 17 the the DT A33999 393 18 new new JJ A33999 393 19 Stile Stile NNP A33999 393 20 , , , A33999 393 21 as as RB A33999 393 22 here here RB A33999 393 23 DE DE NNP A33999 393 24 . . . A33999 394 1 Take take VB A33999 394 2 the the DT A33999 394 3 nearest near JJS A33999 394 4 distance distance NN A33999 394 5 from from IN A33999 394 6 B B NNP A33999 394 7 to to IN A33999 394 8 DE DE NNP A33999 394 9 , , , A33999 394 10 and and CC A33999 394 11 set set VBD A33999 394 12 it -PRON- PRP A33999 394 13 on on IN A33999 394 14 the the DT A33999 394 15 Substile Substile NNP A33999 394 16 from from IN A33999 394 17 B b NN A33999 394 18 to to IN A33999 394 19 V v NN A33999 394 20 , , , A33999 394 21 also also RB A33999 394 22 the the DT A33999 394 23 nearest near JJS A33999 394 24 distance distance NN A33999 394 25 from from IN A33999 394 26 A a NN A33999 394 27 to to IN A33999 394 28 DE de NN A33999 394 29 , , , A33999 394 30 and and CC A33999 394 31 set set VBD A33999 394 32 it -PRON- PRP A33999 394 33 from from IN A33999 394 34 V v NN A33999 394 35 to to IN A33999 394 36 C c NN A33999 394 37 , , , A33999 394 38 through through IN A33999 394 39 which which WDT A33999 394 40 point point NN A33999 394 41 draw draw VBP A33999 394 42 another another DT A33999 394 43 line line NN A33999 394 44 perpendicular perpendicular JJ A33999 394 45 to to IN A33999 394 46 the the DT A33999 394 47 Substile Substile NNP A33999 394 48 . . . A33999 395 1 Upon upon IN A33999 395 2 V V NNP A33999 395 3 as as IN A33999 395 4 a a DT A33999 395 5 Center Center NNP A33999 395 6 , , , A33999 395 7 describe describe VB A33999 395 8 the the DT A33999 395 9 Arch Arch NNP A33999 395 10 of of IN A33999 395 11 a a DT A33999 395 12 Circle Circle NNP A33999 395 13 of of IN A33999 395 14 as as RB A33999 395 15 large large JJ A33999 395 16 a a DT A33999 395 17 Radius Radius NNP A33999 395 18 as as IN A33999 395 19 the the DT A33999 395 20 plain plain NN A33999 395 21 will will MD A33999 395 22 admit admit VB A33999 395 23 , , , A33999 395 24 and and CC A33999 395 25 from from IN A33999 395 26 the the DT A33999 395 27 substile substile NN A33999 395 28 on on IN A33999 395 29 the the DT A33999 395 30 same same JJ A33999 395 31 side side NN A33999 395 32 thereof thereof IN A33999 395 33 the the DT A33999 395 34 Meridian Meridian NNP A33999 395 35 happened happen VBD A33999 395 36 in in IN A33999 395 37 the the DT A33999 395 38 former former JJ A33999 395 39 Scheam Scheam NNP A33999 395 40 , , , A33999 395 41 set set VBD A33999 395 42 off off RP A33999 395 43 the the DT A33999 395 44 Inclination Inclination NNP A33999 395 45 of of IN A33999 395 46 Meridians Meridians NNPS A33999 395 47 , , , A33999 395 48 and and CC A33999 395 49 it -PRON- PRP A33999 395 50 findes find VBZ A33999 395 51 the the DT A33999 395 52 point point NN A33999 395 53 M M NNP A33999 395 54 , , , A33999 395 55 from from IN A33999 395 56 whence whence NN A33999 395 57 divide divide VBP A33999 395 58 the the DT A33999 395 59 Circle Circle NNP A33999 395 60 into into IN A33999 395 61 24 24 CD A33999 395 62 equal equal JJ A33999 395 63 parts part NNS A33999 395 64 , , , A33999 395 65 and and CC A33999 395 66 draw draw VB A33999 395 67 lines line NNS A33999 395 68 from from IN A33999 395 69 the the DT A33999 395 70 Center Center NNP A33999 395 71 V V NNP A33999 395 72 through through IN A33999 395 73 those those DT A33999 395 74 parts part NNS A33999 395 75 , , , A33999 395 76 cutting cut VBG A33999 395 77 both both CC A33999 395 78 the the DT A33999 395 79 Contingent Contingent NNP A33999 395 80 lines line NNS A33999 395 81 B B NNP A33999 395 82 and and CC A33999 395 83 C C NNP A33999 395 84 , , , A33999 395 85 the the DT A33999 395 86 respective respective JJ A33999 395 87 divisions division NNS A33999 395 88 of of IN A33999 395 89 the the DT A33999 395 90 Contingent Contingent NNP A33999 395 91 line line NN A33999 395 92 C C NNP A33999 395 93 , , , A33999 395 94 must must MD A33999 395 95 be be VB A33999 395 96 transferred transfer VBN A33999 395 97 into into IN A33999 395 98 the the DT A33999 395 99 Contingent Contingent NNP A33999 395 100 line line NN A33999 395 101 A a NN A33999 395 102 , , , A33999 395 103 and and CC A33999 395 104 there there EX A33999 395 105 be be VB A33999 395 106 made make VBN A33999 395 107 of of IN A33999 395 108 the the DT A33999 395 109 like like JJ A33999 395 110 distance distance NN A33999 395 111 from from IN A33999 395 112 the the DT A33999 395 113 substile substile NN A33999 395 114 as as IN A33999 395 115 in in IN A33999 395 116 the the DT A33999 395 117 said said JJ A33999 395 118 line line NN A33999 395 119 C C NNP A33999 395 120 , , , A33999 395 121 then then RB A33999 395 122 lines line NNS A33999 395 123 drawn draw VBN A33999 395 124 through through IN A33999 395 125 the the DT A33999 395 126 Divisions Divisions NNPS A33999 395 127 of of IN A33999 395 128 the the DT A33999 395 129 two two CD A33999 395 130 Contingent contingent JJ A33999 395 131 lines line NNS A33999 395 132 A a NN A33999 395 133 and and CC A33999 395 134 B b NN A33999 395 135 , , , A33999 395 136 shall shall MD A33999 395 137 be be VB A33999 395 138 the the DT A33999 395 139 respective respective JJ A33999 395 140 hour hour NN A33999 395 141 - - HYPH A33999 395 142 lines line NNS A33999 395 143 required require VBN A33999 395 144 . . . A33999 396 1 A a DT A33999 396 2 South South NNP A33999 396 3 Plain Plain NNP A33999 396 4 Declining Declining NNP A33999 396 5 Eastwards eastward NNS A33999 396 6 30 30 CD A33999 396 7 degrees degree NNS A33999 396 8 , , , A33999 396 9 Reclining recline VBG A33999 396 10 25 25 CD A33999 396 11 degrees degree NNS A33999 396 12 , , , A33999 396 13 Latitude Latitude NNP A33999 396 14 51 51 CD A33999 396 15 degrees degree NNS A33999 396 16 , , , A33999 396 17 32 32 CD A33999 396 18 minutes minute NNS A33999 396 19 . . . A33999 397 1 After after IN A33999 397 2 the the DT A33999 397 3 same same JJ A33999 397 4 manner manner NN A33999 397 5 must must MD A33999 397 6 such such JJ A33999 397 7 East East NNP A33999 397 8 and and CC A33999 397 9 West West NNP A33999 397 10 Recliners Recliners NNPS A33999 397 11 or or CC A33999 397 12 Incliners Incliners NNPS A33999 397 13 , , , A33999 397 14 that that WDT A33999 397 15 have have VBP A33999 397 16 small small JJ A33999 397 17 elevation elevation NN A33999 397 18 of of IN A33999 397 19 the the DT A33999 397 20 Stile Stile NNP A33999 397 21 , , , A33999 397 22 and and CC A33999 397 23 upright upright JJ A33999 397 24 far far JJ A33999 397 25 decliners decliner NNS A33999 397 26 be be VB A33999 397 27 pricked prick VBN A33999 397 28 down down RP A33999 397 29 , , , A33999 397 30 and and CC A33999 397 31 in in IN A33999 397 32 these these DT A33999 397 33 plains plain NNS A33999 397 34 the the DT A33999 397 35 Meridian meridian JJ A33999 397 36 many many JJ A33999 397 37 times time NNS A33999 397 38 must must MD A33999 397 39 be be VB A33999 397 40 left leave VBN A33999 397 41 out out RP A33999 397 42 , , , A33999 397 43 the the DT A33999 397 44 proportion proportion NN A33999 397 45 to to IN A33999 397 46 finde finde NNP A33999 397 47 the the DT A33999 397 48 Inclination Inclination NNP A33999 397 49 of of IN A33999 397 50 Meridians Meridians NNPS A33999 397 51 for for IN A33999 397 52 upright upright JJ A33999 397 53 Decliners decliner NNS A33999 397 54 : : : A33999 397 55 Is be VBZ A33999 397 56 , , , A33999 397 57 As as IN A33999 397 58 the the DT A33999 397 59 Radius Radius NNP A33999 397 60 , , , A33999 397 61 Is be VBZ A33999 397 62 to to IN A33999 397 63 the the DT A33999 397 64 Sine Sine NNP A33999 397 65 of of IN A33999 397 66 the the DT A33999 397 67 Latitude Latitude NNP A33999 397 68 , , , A33999 397 69 So so RB A33999 397 70 is be VBZ A33999 397 71 the the DT A33999 397 72 Cotangent Cotangent NNP A33999 397 73 of of IN A33999 397 74 the the DT A33999 397 75 Plains Plains NNP A33999 397 76 Declination Declination NNP A33999 397 77 , , , A33999 397 78 To to IN A33999 397 79 the the DT A33999 397 80 Cotangent Cotangent NNP A33999 397 81 of of IN A33999 397 82 the the DT A33999 397 83 Inclination Inclination NNP A33999 397 84 of of IN A33999 397 85 Meridians Meridians NNPS A33999 397 86 . . . A33999 398 1 In in IN A33999 398 2 the the DT A33999 398 3 Dyalling Dyalling NNP A33999 398 4 Scheam Scheam NNP A33999 398 5 , , , A33999 398 6 making make VBG A33999 398 7 CV CV NNP A33999 398 8 Radius Radius NNP A33999 398 9 , , , A33999 398 10 CO CO NNP A33999 398 11 is be VBZ A33999 398 12 the the DT A33999 398 13 Cotangent Cotangent NNP A33999 398 14 of of IN A33999 398 15 the the DT A33999 398 16 Declination Declination NNP A33999 398 17 , , , A33999 398 18 which which WDT A33999 398 19 enter enter VBP A33999 398 20 on on IN A33999 398 21 the the DT A33999 398 22 Latitude Latitude NNP A33999 398 23 line line NN A33999 398 24 VL VL NNP A33999 398 25 , , , A33999 398 26 and and CC A33999 398 27 take take VB A33999 398 28 the the DT A33999 398 29 nearest near JJS A33999 398 30 distance distance NN A33999 398 31 to to IN A33999 398 32 SV SV NNP A33999 398 33 , , , A33999 398 34 which which WDT A33999 398 35 extent extent NN A33999 398 36 prickt prickt NNS A33999 398 37 upon upon IN A33999 398 38 CO CO NNP A33999 398 39 , , , A33999 398 40 and and CC A33999 398 41 it -PRON- PRP A33999 398 42 findes find VBZ A33999 398 43 a a DT A33999 398 44 Point Point NNP A33999 398 45 , , , A33999 398 46 through through IN A33999 398 47 which which WDT A33999 398 48 a a DT A33999 398 49 line line NN A33999 398 50 drawn draw VBN A33999 398 51 from from IN A33999 398 52 the the DT A33999 398 53 Center Center NNP A33999 398 54 to to IN A33999 398 55 the the DT A33999 398 56 Limbe Limbe NNP A33999 398 57 , , , A33999 398 58 shall shall MD A33999 398 59 shew shew VB A33999 398 60 the the DT A33999 398 61 inclination inclination NN A33999 398 62 of of IN A33999 398 63 Meridians Meridians NNPS A33999 398 64 to to TO A33999 398 65 be be VB A33999 398 66 measured measure VBN A33999 398 67 from from IN A33999 398 68 N. N. NNP A33999 398 69 Otherwise Otherwise NNP A33999 398 70 : : : A33999 398 71 That that IN A33999 398 72 we -PRON- PRP A33999 398 73 may may MD A33999 398 74 not not RB A33999 398 75 transfer transfer VB A33999 398 76 large large JJ A33999 398 77 Divisions division NNS A33999 398 78 on on IN A33999 398 79 the the DT A33999 398 80 Contingent contingent JJ A33999 398 81 line line NN A33999 398 82 from from IN A33999 398 83 a a DT A33999 398 84 small small JJ A33999 398 85 Circle Circle NNP A33999 398 86 , , , A33999 398 87 and and CC A33999 398 88 that that IN A33999 398 89 the the DT A33999 398 90 Plain Plain NNP A33999 398 91 may may MD A33999 398 92 be be VB A33999 398 93 filled fill VBN A33999 398 94 with with IN A33999 398 95 any any DT A33999 398 96 determined determined JJ A33999 398 97 number number NN A33999 398 98 of of IN A33999 398 99 hours hour NNS A33999 398 100 , , , A33999 398 101 such such JJ A33999 398 102 as as IN A33999 398 103 by by IN A33999 398 104 after after IN A33999 398 105 Directions direction NNS A33999 398 106 shall shall MD A33999 398 107 be be VB A33999 398 108 found find VBN A33999 398 109 meet meet NN A33999 398 110 , , , A33999 398 111 draw draw VB A33999 398 112 any any DT A33999 398 113 right right JJ A33999 398 114 line line NN A33999 398 115 on on IN A33999 398 116 a a DT A33999 398 117 Board Board NNP A33999 398 118 or or CC A33999 398 119 Floor Floor NNP A33999 398 120 that that WDT A33999 398 121 shall shall MD A33999 398 122 represent represent VB A33999 398 123 the the DT A33999 398 124 Plains Plains NNPS A33999 398 125 perpendicular perpendicular NN A33999 398 126 , , , A33999 398 127 as as IN A33999 398 128 CN CN NNP A33999 398 129 , , , A33999 398 130 and and CC A33999 398 131 from from IN A33999 398 132 the the DT A33999 398 133 same same JJ A33999 398 134 set set NN A33999 398 135 off off RP A33999 398 136 the the DT A33999 398 137 Substile Substile NNP A33999 398 138 and and CC A33999 398 139 Stiles Stiles NNP A33999 398 140 height height RB A33999 398 141 from from IN A33999 398 142 the the DT A33999 398 143 general general JJ A33999 398 144 Scheam Scheam NNP A33999 398 145 as as IN A33999 398 146 before before RB A33999 398 147 , , , A33999 398 148 drawing draw VBG A33999 398 149 a a DT A33999 398 150 line line NN A33999 398 151 parallel parallel JJ A33999 398 152 to to IN A33999 398 153 the the DT A33999 398 154 Stile Stile NNP A33999 398 155 as as IN A33999 398 156 DE DE NNP A33999 398 157 , , , A33999 398 158 also also RB A33999 398 159 a a DT A33999 398 160 line line NN A33999 398 161 perpendicular perpendicular JJ A33999 398 162 to to IN A33999 398 163 the the DT A33999 398 164 Substile Substile NNP A33999 398 165 , , , A33999 398 166 which which WDT A33999 398 167 I -PRON- PRP A33999 398 168 call call VBP A33999 398 169 the the DT A33999 398 170 Floor Floor NNP A33999 398 171 Contingent Contingent NNP A33999 398 172 , , , A33999 398 173 and and CC A33999 398 174 that that IN A33999 398 175 it -PRON- PRP A33999 398 176 may may MD A33999 398 177 be be VB A33999 398 178 large large JJ A33999 398 179 , , , A33999 398 180 let let VB A33999 398 181 it -PRON- PRP A33999 398 182 be be VB A33999 398 183 of of IN A33999 398 184 a a DT A33999 398 185 good good JJ A33999 398 186 distance distance NN A33999 398 187 from from IN A33999 398 188 the the DT A33999 398 189 Center Center NNP A33999 398 190 ; ; : A33999 398 191 from from IN A33999 398 192 the the DT A33999 398 193 point point NN A33999 398 194 of of IN A33999 398 195 Intersection intersection NN A33999 398 196 at at IN A33999 398 197 Y Y NNP A33999 398 198 , , , A33999 398 199 take take VB A33999 398 200 the the DT A33999 398 201 nearest near JJS A33999 398 202 distance distance NN A33999 398 203 to to IN A33999 398 204 the the DT A33999 398 205 parallel parallel JJ A33999 398 206 Stile Stile NNP A33999 398 207 , , , A33999 398 208 which which WDT A33999 398 209 prick prick VBP A33999 398 210 from from IN A33999 398 211 Y Y NNP A33999 398 212 to to IN A33999 398 213 V v NN A33999 398 214 , , , A33999 398 215 and and CC A33999 398 216 upon upon IN A33999 398 217 V v NN A33999 398 218 as as IN A33999 398 219 a a DT A33999 398 220 Center Center NNP A33999 398 221 describe describe VBP A33999 398 222 as as RB A33999 398 223 large large JJ A33999 398 224 a a DT A33999 398 225 Circle Circle NNP A33999 398 226 as as IN A33999 398 227 may may MD A33999 398 228 be be VB A33999 398 229 with with IN A33999 398 230 convenience convenience NN A33999 398 231 , , , A33999 398 232 and and CC A33999 398 233 from from IN A33999 398 234 the the DT A33999 398 235 Substile Substile NNP A33999 398 236 set set VBD A33999 398 237 off off RP A33999 398 238 the the DT A33999 398 239 Inclination Inclination NNP A33999 398 240 of of IN A33999 398 241 Meridians Meridians NNPS A33999 398 242 therein therein RB A33999 398 243 to to IN A33999 398 244 M M NNP A33999 398 245 ( ( -LRB- A33999 398 246 which which WDT A33999 398 247 Ark Ark NNP A33999 398 248 refers refer VBZ A33999 398 249 to to IN A33999 398 250 V v NN A33999 398 251 as as IN A33999 398 252 its -PRON- PRP$ A33999 398 253 Center Center NNP A33999 398 254 ) ) -RRB- A33999 398 255 and and CC A33999 398 256 from from IN A33999 398 257 the the DT A33999 398 258 said say VBN A33999 398 259 Point Point NNP A33999 398 260 divide divide VBP A33999 398 261 it -PRON- PRP A33999 398 262 into into IN A33999 398 263 24 24 CD A33999 398 264 equal equal JJ A33999 398 265 hours hour NNS A33999 398 266 ( ( -LRB- A33999 398 267 or or CC A33999 398 268 fewer few JJR A33999 398 269 , , , A33999 398 270 no no RB A33999 398 271 more more RBR A33999 398 272 then then RB A33999 398 273 are be VBP A33999 398 274 required require VBN A33999 398 275 ) ) -RRB- A33999 398 276 and and CC A33999 398 277 laying lay VBG A33999 398 278 a a DT A33999 398 279 Ruler ruler NN A33999 398 280 over over IN A33999 398 281 V v NN A33999 398 282 , , , A33999 398 283 and and CC A33999 398 284 those those DT A33999 398 285 respective respective JJ A33999 398 286 divisions division NNS A33999 398 287 graduate graduate VBP A33999 398 288 them -PRON- PRP A33999 398 289 on on IN A33999 398 290 the the DT A33999 398 291 large large JJ A33999 398 292 Contingent contingent JJ A33999 398 293 line line NN A33999 398 294 , , , A33999 398 295 I -PRON- PRP A33999 398 296 say say VBP A33999 398 297 from from IN A33999 398 298 this this DT A33999 398 299 large large JJ A33999 398 300 Contingent contingent JJ A33999 398 301 line line NN A33999 398 302 thus thus RB A33999 398 303 drawn draw VBN A33999 398 304 and and CC A33999 398 305 divided divide VBN A33999 398 306 , , , A33999 398 307 we -PRON- PRP A33999 398 308 may may MD A33999 398 309 proportion proportion VB A33999 398 310 out out RP A33999 398 311 the the DT A33999 398 312 Divisions Divisions NNPS A33999 398 313 of of IN A33999 398 314 two two CD A33999 398 315 ( ( -LRB- A33999 398 316 or or CC A33999 398 317 many many JJ A33999 398 318 ) ) -RRB- A33999 398 319 Contingent contingent JJ A33999 398 320 lines line NNS A33999 398 321 that that WDT A33999 398 322 are be VBP A33999 398 323 lesser less JJR A33999 398 324 , , , A33999 398 325 and and CC A33999 398 326 thereby thereby RB A33999 398 327 fill fill VB A33999 398 328 the the DT A33999 398 329 Plain Plain NNP A33999 398 330 with with IN A33999 398 331 any any DT A33999 398 332 proper proper JJ A33999 398 333 number number NN A33999 398 334 of of IN A33999 398 335 hours hour NNS A33999 398 336 required require VBN A33999 398 337 . . . A33999 399 1 Then then RB A33999 399 2 in in IN A33999 399 3 Order order NN A33999 399 4 to to TO A33999 399 5 drawing draw VBG A33999 399 6 the the DT A33999 399 7 hour hour NN A33999 399 8 - - HYPH A33999 399 9 lines line NNS A33999 399 10 on on IN A33999 399 11 the the DT A33999 399 12 Plain Plain NNP A33999 399 13 . . . A33999 400 1 The the DT A33999 400 2 first first JJ A33999 400 3 work work NN A33999 400 4 will will MD A33999 400 5 be be VB A33999 400 6 to to TO A33999 400 7 draw draw VB A33999 400 8 the the DT A33999 400 9 larger large JJR A33999 400 10 contingent contingent JJ A33999 400 11 line line NN A33999 400 12 on on IN A33999 400 13 the the DT A33999 400 14 plain plain NN A33999 400 15 , , , A33999 400 16 which which WDT A33999 400 17 may may MD A33999 400 18 be be VB A33999 400 19 drawn draw VBN A33999 400 20 anywhere anywhere RB A33999 400 21 at at IN A33999 400 22 pleasure pleasure NN A33999 400 23 : : : A33999 400 24 for for IN A33999 400 25 performing perform VBG A33999 400 26 whereof whereof NN A33999 400 27 , , , A33999 400 28 note note NN A33999 400 29 , , , A33999 400 30 that that IN A33999 400 31 what what WDT A33999 400 32 Angle angle VBP A33999 400 33 the the DT A33999 400 34 Substile Substile NNP A33999 400 35 makes make VBZ A33999 400 36 with with IN A33999 400 37 the the DT A33999 400 38 Plains Plains NNPS A33999 400 39 perpendicular perpendicular NN A33999 400 40 , , , A33999 400 41 the the DT A33999 400 42 Contingent contingent JJ A33999 400 43 line line NN A33999 400 44 is be VBZ A33999 400 45 to to TO A33999 400 46 make make VB A33999 400 47 the the DT A33999 400 48 same same JJ A33999 400 49 with with IN A33999 400 50 the the DT A33999 400 51 Horizontal horizontal JJ A33999 400 52 line line NN A33999 400 53 , , , A33999 400 54 and and CC A33999 400 55 the the DT A33999 400 56 complement complement NN A33999 400 57 thereof thereof RB A33999 400 58 , , , A33999 400 59 with with IN A33999 400 60 the the DT A33999 400 61 Vertical vertical JJ A33999 400 62 line line NN A33999 400 63 ; ; : A33999 400 64 also also RB A33999 400 65 draw draw VB A33999 400 66 another another DT A33999 400 67 Contingent contingent JJ A33999 400 68 line line NN A33999 400 69 above above IN A33999 400 70 this this DT A33999 400 71 , , , A33999 400 72 parallel parallel JJ A33999 400 73 thereto thereto NN A33999 400 74 at at IN A33999 400 75 any any DT A33999 400 76 convenient convenient JJ A33999 400 77 distance distance NN A33999 400 78 . . . A33999 401 1 In in IN A33999 401 2 the the DT A33999 401 3 bigger big JJR A33999 401 4 Contingent contingent JJ A33999 401 5 line line NN A33999 401 6 assume assume VB A33999 401 7 any any DT A33999 401 8 two two CD A33999 401 9 points point NNS A33999 401 10 to to TO A33999 401 11 limit limit VB A33999 401 12 the the DT A33999 401 13 outward outward JJ A33999 401 14 most most JJS A33999 401 15 hours hour NNS A33999 401 16 that that WDT A33999 401 17 are be VBP A33999 401 18 intended intend VBN A33999 401 19 to to TO A33999 401 20 be be VB A33999 401 21 drawn draw VBN A33999 401 22 on on IN A33999 401 23 the the DT A33999 401 24 Plain Plain NNP A33999 401 25 , , , A33999 401 26 as as IN A33999 401 27 admit admit NN A33999 401 28 on on IN A33999 401 29 the the DT A33999 401 30 former former JJ A33999 401 31 Plain Plain NNP A33999 401 32 , , , A33999 401 33 I -PRON- PRP A33999 401 34 would would MD A33999 401 35 bring bring VB A33999 401 36 on on RP A33999 401 37 hours hour NNS A33999 401 38 from from IN A33999 401 39 six six CD A33999 401 40 in in IN A33999 401 41 the the DT A33999 401 42 morning morning NN A33999 401 43 , , , A33999 401 44 to to IN A33999 401 45 two two CD A33999 401 46 in in IN A33999 401 47 the the DT A33999 401 48 afternoon afternoon NN A33999 401 49 , , , A33999 401 50 between between IN A33999 401 51 the the DT A33999 401 52 space space NN A33999 401 53 A a NN A33999 401 54 and and CC A33999 401 55 B B NNP A33999 401 56 of of IN A33999 401 57 the the DT A33999 401 58 greater great JJR A33999 401 59 Contingent Contingent NNP A33999 401 60 , , , A33999 401 61 take take VB A33999 401 62 the the DT A33999 401 63 said say VBN A33999 401 64 extent extent NN A33999 401 65 AB AB NNP A33999 401 66 , , , A33999 401 67 and and CC A33999 401 68 upon upon IN A33999 401 69 the the DT A33999 401 70 point point NN A33999 401 71 B b NN A33999 401 72 at at IN A33999 401 73 2 2 CD A33999 401 74 of of IN A33999 401 75 the the DT A33999 401 76 Floor Floor NNP A33999 401 77 Contingent Contingent NNP A33999 401 78 , , , A33999 401 79 describe describe VB A33999 401 80 an an DT A33999 401 81 Ark Ark NNP A33999 401 82 therewith therewith NN A33999 401 83 , , , A33999 401 84 to to IN A33999 401 85 wit wit NN A33999 401 86 , , , A33999 401 87 L L NNP A33999 401 88 , , , A33999 401 89 then then RB A33999 401 90 from from IN A33999 401 91 A a DT A33999 401 92 Draw Draw NNP A33999 401 93 the the DT A33999 401 94 line line NN A33999 401 95 AL al JJ A33999 401 96 , , , A33999 401 97 just just RB A33999 401 98 touching touch VBG A33999 401 99 the the DT A33999 401 100 outward outward JJ A33999 401 101 extreamity extreamity NN A33999 401 102 of of IN A33999 401 103 the the DT A33999 401 104 said say VBN A33999 401 105 Ark Ark NNP A33999 401 106 . . . A33999 402 1 I -PRON- PRP A33999 402 2 say say VBP A33999 402 3 the the DT A33999 402 4 nearest near JJS A33999 402 5 distance distance NN A33999 402 6 from from IN A33999 402 7 D d NN A33999 402 8 to to IN A33999 402 9 AL AL NNP A33999 402 10 , , , A33999 402 11 being be VBG A33999 402 12 pricked prick VBN A33999 402 13 on on IN A33999 402 14 the the DT A33999 402 15 Plains Plains NNPS A33999 402 16 greater great JJR A33999 402 17 Contingent Contingent NNP A33999 402 18 from from IN A33999 402 19 A a NN A33999 402 20 to to IN A33999 402 21 D d NN A33999 402 22 , , , A33999 402 23 findes find VBZ A33999 402 24 a a DT A33999 402 25 point point NN A33999 402 26 therein therein RB A33999 402 27 through through IN A33999 402 28 which which WDT A33999 402 29 the the DT A33999 402 30 Stile Stile NNP A33999 402 31 is be VBZ A33999 402 32 to to TO A33999 402 33 pass pass VB A33999 402 34 . . . A33999 403 1 Also also RB A33999 403 2 the the DT A33999 403 3 nearest near JJS A33999 403 4 distance distance NN A33999 403 5 from from IN A33999 403 6 Y Y NNP A33999 403 7 to to IN A33999 403 8 AL AL NNP A33999 403 9 , , , A33999 403 10 findes find VBZ A33999 403 11 the the DT A33999 403 12 space space NN A33999 403 13 AY ay NN A33999 403 14 on on IN A33999 403 15 the the DT A33999 403 16 Plains Plains NNPS A33999 403 17 greater great JJR A33999 403 18 Contingent Contingent NNP A33999 403 19 , , , A33999 403 20 and and CC A33999 403 21 through through IN A33999 403 22 the the DT A33999 403 23 point point NN A33999 403 24 Y Y NNP A33999 403 25 a a DT A33999 403 26 line line NN A33999 403 27 drawn draw VBN A33999 403 28 perpendicular perpendicular JJ A33999 403 29 to to IN A33999 403 30 AB AB NNP A33999 403 31 , , , A33999 403 32 shall shall MD A33999 403 33 be be VB A33999 403 34 the the DT A33999 403 35 Substilar substilar JJ A33999 403 36 line line NN A33999 403 37 . . . A33999 404 1 The the DT A33999 404 2 Stile Stile NNP A33999 404 3 is be VBZ A33999 404 4 to to TO A33999 404 5 be be VB A33999 404 6 drawn draw VBN A33999 404 7 through through IN A33999 404 8 the the DT A33999 404 9 Point Point NNP A33999 404 10 D D NNP A33999 404 11 , , , A33999 404 12 making make VBG A33999 404 13 an an DT A33999 404 14 Angle angle NN A33999 404 15 with with IN A33999 404 16 the the DT A33999 404 17 Plains Plains NNP A33999 404 18 Contingent Contingent NNP A33999 404 19 line line NN A33999 404 20 equal equal JJ A33999 404 21 to to IN A33999 404 22 the the DT A33999 404 23 complement complement NN A33999 404 24 of of IN A33999 404 25 its -PRON- PRP$ A33999 404 26 height height NN A33999 404 27 above above IN A33999 404 28 the the DT A33999 404 29 Substile Substile NNP A33999 404 30 in in IN A33999 404 31 this this DT A33999 404 32 example example NN A33999 404 33 80d 80d CD A33999 404 34 57′ 57′ CD A33999 404 35 , , , A33999 404 36 to to IN A33999 404 37 wit wit NN A33999 404 38 , , , A33999 404 39 the the DT A33999 404 40 Arch Arch NNP A33999 404 41 NY NY NNP A33999 404 42 . . . A33999 405 1 The the DT A33999 405 2 respective respective JJ A33999 405 3 nearest near JJS A33999 405 4 distances distance NNS A33999 405 5 to to IN A33999 405 6 AL AL NNP A33999 405 7 , , , A33999 405 8 from from IN A33999 405 9 each each DT A33999 405 10 hour hour NN A33999 405 11 - - HYPH A33999 405 12 point point NN A33999 405 13 , , , A33999 405 14 in in IN A33999 405 15 the the DT A33999 405 16 Floor Floor NNP A33999 405 17 Contingent Contingent NNP A33999 405 18 , , , A33999 405 19 being be VBG A33999 405 20 pricked prick VBN A33999 405 21 on on IN A33999 405 22 the the DT A33999 405 23 Plains Plains NNPS A33999 405 24 greater great JJR A33999 405 25 Contingent Contingent NNP A33999 405 26 from from IN A33999 405 27 A a NN A33999 405 28 towards towards IN A33999 405 29 B b NN A33999 405 30 , , , A33999 405 31 findes find VBZ A33999 405 32 Points Points NNPS A33999 405 33 therein therein RB A33999 405 34 , , , A33999 405 35 through through IN A33999 405 36 which which WDT A33999 405 37 the the DT A33999 405 38 hour hour NN A33999 405 39 - - HYPH A33999 405 40 lines line NNS A33999 405 41 are be VBP A33999 405 42 to to TO A33999 405 43 pass pass VB A33999 405 44 . . . A33999 406 1 The the DT A33999 406 2 next next JJ A33999 406 3 work work NN A33999 406 4 will will MD A33999 406 5 be be VB A33999 406 6 to to TO A33999 406 7 limit limit VB A33999 406 8 one one CD A33999 406 9 of of IN A33999 406 10 the the DT A33999 406 11 extream extream JJ A33999 406 12 hours hour NNS A33999 406 13 on on IN A33999 406 14 the the DT A33999 406 15 Plains Plains NNP A33999 406 16 lesser less JJR A33999 406 17 Contingent Contingent NNP A33999 406 18 , , , A33999 406 19 and and CC A33999 406 20 that that DT A33999 406 21 must must MD A33999 406 22 be be VB A33999 406 23 done do VBN A33999 406 24 by by IN A33999 406 25 proportion proportion NN A33999 406 26 . . . A33999 407 1 As as IN A33999 407 2 the the DT A33999 407 3 Distance Distance NNP A33999 407 4 between between IN A33999 407 5 the the DT A33999 407 6 parallel parallel JJ A33999 407 7 stile stile NN A33999 407 8 and and CC A33999 407 9 substile substile JJ A33999 407 10 on on IN A33999 407 11 the the DT A33999 407 12 Floor Floor NNP A33999 407 13 Contingent Contingent NNP A33999 407 14 , , , A33999 407 15 Is be VBZ A33999 407 16 to to IN A33999 407 17 the the DT A33999 407 18 distance distance NN A33999 407 19 between between IN A33999 407 20 the the DT A33999 407 21 stile stile NN A33999 407 22 and and CC A33999 407 23 substile substile JJ A33999 407 24 on on IN A33999 407 25 the the DT A33999 407 26 Plains Plains NNP A33999 407 27 lesser less JJR A33999 407 28 Contingent Contingent NNP A33999 407 29 , , , A33999 407 30 So so RB A33999 407 31 is be VBZ A33999 407 32 the the DT A33999 407 33 distance distance NN A33999 407 34 between between IN A33999 407 35 the the DT A33999 407 36 substile substile NN A33999 407 37 and and CC A33999 407 38 either either DT A33999 407 39 of of IN A33999 407 40 the the DT A33999 407 41 extream extream NN A33999 407 42 or or CC A33999 407 43 outward outward JJ A33999 407 44 hours hour NNS A33999 407 45 on on IN A33999 407 46 the the DT A33999 407 47 Floor Floor NNP A33999 407 48 Contingent Contingent NNP A33999 407 49 , , , A33999 407 50 To to IN A33999 407 51 the the DT A33999 407 52 distance distance NN A33999 407 53 between between IN A33999 407 54 the the DT A33999 407 55 substile substile NN A33999 407 56 , , , A33999 407 57 and and CC A33999 407 58 the the DT A33999 407 59 said say VBD A33999 407 60 outward outward JJ A33999 407 61 hour hour NN A33999 407 62 on on IN A33999 407 63 the the DT A33999 407 64 Plains Plains NNP A33999 407 65 lesser less JJR A33999 407 66 Contingent Contingent NNP A33999 407 67 . . . A33999 408 1 A a DT A33999 408 2 South South NNP A33999 408 3 Diall Diall NNP A33999 408 4 Declining Declining NNP A33999 408 5 30d 30d : A33999 408 6 East East NNP A33999 408 7 Reclining Reclining NNP A33999 408 8 25d 25d CD A33999 408 9 Lat Lat NNP A33999 408 10 51 51 CD A33999 408 11 - - SYM A33999 408 12 32 32 CD A33999 408 13 This this DT A33999 408 14 proportion proportion NN A33999 408 15 is be VBZ A33999 408 16 to to TO A33999 408 17 be be VB A33999 408 18 carryed carry VBN A33999 408 19 on on RP A33999 408 20 in in IN A33999 408 21 the the DT A33999 408 22 Draught Draught NNP A33999 408 23 on on IN A33999 408 24 the the DT A33999 408 25 Floor floor NN A33999 408 26 , , , A33999 408 27 place place NN A33999 408 28 DY DY NNP A33999 408 29 from from IN A33999 408 30 A a NN A33999 408 31 to to IN A33999 408 32 G g NN A33999 408 33 on on IN A33999 408 34 the the DT A33999 408 35 Floor Floor NNP A33999 408 36 Contingent Contingent NNP A33999 408 37 , , , A33999 408 38 and and CC A33999 408 39 with with IN A33999 408 40 the the DT A33999 408 41 extent extent NN A33999 408 42 EG EG NNP A33999 408 43 taken take VBN A33999 408 44 from from IN A33999 408 45 the the DT A33999 408 46 Plains Plains NNP A33999 408 47 lesser less JJR A33999 408 48 Contingent Contingent NNP A33999 408 49 , , , A33999 408 50 upon upon IN A33999 408 51 G g NN A33999 408 52 on on IN A33999 408 53 the the DT A33999 408 54 Floor Floor NNP A33999 408 55 Contingent Contingent NNP A33999 408 56 , , , A33999 408 57 draw draw VB A33999 408 58 the the DT A33999 408 59 Arch Arch NNP A33999 408 60 O O NNP A33999 408 61 , , , A33999 408 62 and and CC A33999 408 63 from from IN A33999 408 64 A a DT A33999 408 65 draw draw NN A33999 408 66 a a DT A33999 408 67 line line NN A33999 408 68 touching touch VBG A33999 408 69 the the DT A33999 408 70 outward outward JJ A33999 408 71 extreamity extreamity NN A33999 408 72 of of IN A33999 408 73 the the DT A33999 408 74 said say VBN A33999 408 75 Arch Arch NNP A33999 408 76 , , , A33999 408 77 and and CC A33999 408 78 let let VB A33999 408 79 it -PRON- PRP A33999 408 80 be be VB A33999 408 81 produced produce VBN A33999 408 82 . . . A33999 409 1 The the DT A33999 409 2 nearest near JJS A33999 409 3 distance distance NN A33999 409 4 from from IN A33999 409 5 Y Y NNP A33999 409 6 to to IN A33999 409 7 AO AO NNP A33999 409 8 , , , A33999 409 9 being be VBG A33999 409 10 prickt prickt NNS A33999 409 11 on on IN A33999 409 12 the the DT A33999 409 13 Plains Plains NNP A33999 409 14 lesser less JJR A33999 409 15 Contingent Contingent NNP A33999 409 16 , , , A33999 409 17 reaches reach VBZ A33999 409 18 from from IN A33999 409 19 G g NN A33999 409 20 to to IN A33999 409 21 C C NNP A33999 409 22 , , , A33999 409 23 the the DT A33999 409 24 point point NN A33999 409 25 limiting limit VBG A33999 409 26 the the DT A33999 409 27 outward outward JJ A33999 409 28 hour hour NN A33999 409 29 of of IN A33999 409 30 six six CD A33999 409 31 . . . A33999 410 1 Then then RB A33999 410 2 if if IN A33999 410 3 the the DT A33999 410 4 nearest near JJS A33999 410 5 distances distance NNS A33999 410 6 to to IN A33999 410 7 the the DT A33999 410 8 line line NN A33999 410 9 AO AO NNP A33999 410 10 , , , A33999 410 11 be be VB A33999 410 12 taken take VBN A33999 410 13 from from IN A33999 410 14 all all PDT A33999 410 15 the the DT A33999 410 16 respective respective JJ A33999 410 17 hours hour NNS A33999 410 18 on on IN A33999 410 19 the the DT A33999 410 20 Floor Floor NNP A33999 410 21 Contingent Contingent NNP A33999 410 22 , , , A33999 410 23 and and CC A33999 410 24 placed place VBN A33999 410 25 on on IN A33999 410 26 the the DT A33999 410 27 Plains Plains NNP A33999 410 28 lesser less JJR A33999 410 29 Contingent Contingent NNP A33999 410 30 from from IN A33999 410 31 C C NNP A33999 410 32 towards towards IN A33999 410 33 F F NNP A33999 410 34 , , , A33999 410 35 you -PRON- PRP A33999 410 36 will will MD A33999 410 37 finde finde VB A33999 410 38 all all PDT A33999 410 39 the the DT A33999 410 40 hours hour NNS A33999 410 41 points point NNS A33999 410 42 required require VBN A33999 410 43 , , , A33999 410 44 through through IN A33999 410 45 which which WDT A33999 410 46 and and CC A33999 410 47 the the DT A33999 410 48 like like JJ A33999 410 49 points point NNS A33999 410 50 on on IN A33999 410 51 the the DT A33999 410 52 Plains Plains NNPS A33999 410 53 greater great JJR A33999 410 54 Contingent Contingent NNP A33999 410 55 , , , A33999 410 56 the the DT A33999 410 57 hour hour NN A33999 410 58 - - HYPH A33999 410 59 lines line NNS A33999 410 60 are be VBP A33999 410 61 to to TO A33999 410 62 be be VB A33999 410 63 drawn draw VBN A33999 410 64 . . . A33999 411 1 Here here RB A33999 411 2 note note VB A33999 411 3 , , , A33999 411 4 that that IN A33999 411 5 the the DT A33999 411 6 extent extent NN A33999 411 7 DY DY NNP A33999 411 8 on on IN A33999 411 9 the the DT A33999 411 10 Floor Floor NNP A33999 411 11 Contingent Contingent NNP A33999 411 12 , , , A33999 411 13 may may MD A33999 411 14 be be VB A33999 411 15 doubled double VBN A33999 411 16 or or CC A33999 411 17 tripled triple VBN A33999 411 18 ; ; : A33999 411 19 if if IN A33999 411 20 it -PRON- PRP A33999 411 21 be be VB A33999 411 22 tripled triple VBN A33999 411 23 it -PRON- PRP A33999 411 24 reacheth reacheth VBZ A33999 411 25 to to IN A33999 411 26 H h NN A33999 411 27 , , , A33999 411 28 also also RB A33999 411 29 the the DT A33999 411 30 extent extent NN A33999 411 31 EG eg NN A33999 411 32 on on IN A33999 411 33 the the DT A33999 411 34 plains plain NNS A33999 411 35 lesser less JJR A33999 411 36 Contingent Contingent NNP A33999 411 37 , , , A33999 411 38 is be VBZ A33999 411 39 to to TO A33999 411 40 be be VB A33999 411 41 encreased encrease VBN A33999 411 42 after after IN A33999 411 43 the the DT A33999 411 44 same same JJ A33999 411 45 manner manner NN A33999 411 46 , , , A33999 411 47 and and CC A33999 411 48 an an DT A33999 411 49 Ark Ark NNP A33999 411 50 therewith therewith NN A33999 411 51 described describe VBN A33999 411 52 on on IN A33999 411 53 H h NN A33999 411 54 before before IN A33999 411 55 found find VBN A33999 411 56 , , , A33999 411 57 as as IN A33999 411 58 Q Q NNP A33999 411 59 , , , A33999 411 60 and and CC A33999 411 61 by by IN A33999 411 62 this this DT A33999 411 63 means mean VBZ A33999 411 64 the the DT A33999 411 65 line line NN A33999 411 66 AO AO NNP A33999 411 67 will will MD A33999 411 68 be be VB A33999 411 69 drawn draw VBN A33999 411 70 and and CC A33999 411 71 produced produce VBN A33999 411 72 with with IN A33999 411 73 more more JJR A33999 411 74 certainty certainty NN A33999 411 75 , , , A33999 411 76 then then RB A33999 411 77 by by IN A33999 411 78 the the DT A33999 411 79 Ark Ark NNP A33999 411 80 O o UH A33999 411 81 near near IN A33999 411 82 the the DT A33999 411 83 Center Center NNP A33999 411 84 . . . A33999 412 1 And and CC A33999 412 2 what what WP A33999 412 3 is be VBZ A33999 412 4 here here RB A33999 412 5 done do VBN A33999 412 6 by by IN A33999 412 7 help help NN A33999 412 8 of of IN A33999 412 9 the the DT A33999 412 10 Stiles Stiles NNP A33999 412 11 distance distance NN A33999 412 12 from from IN A33999 412 13 the the DT A33999 412 14 Substile Substile NNP A33999 412 15 , , , A33999 412 16 may may MD A33999 412 17 be be VB A33999 412 18 done do VBN A33999 412 19 by by IN A33999 412 20 help help NN A33999 412 21 of of IN A33999 412 22 the the DT A33999 412 23 outward outward JJ A33999 412 24 hour hour NN A33999 412 25 , , , A33999 412 26 if if IN A33999 412 27 the the DT A33999 412 28 distance distance NN A33999 412 29 of of IN A33999 412 30 the the DT A33999 412 31 said say VBN A33999 412 32 hour hour NN A33999 412 33 - - HYPH A33999 412 34 line line NN A33999 412 35 from from IN A33999 412 36 the the DT A33999 412 37 Substile Substile NNP A33999 412 38 be be VB A33999 412 39 found find VBN A33999 412 40 Geometrically Geometrically NNP A33999 412 41 or or CC A33999 412 42 by by IN A33999 412 43 Calculation Calculation NNP A33999 412 44 , , , A33999 412 45 for for IN A33999 412 46 the the DT A33999 412 47 said say VBN A33999 412 48 hour hour NN A33999 412 49 - - HYPH A33999 412 50 line line NN A33999 412 51 will will MD A33999 412 52 make make VB A33999 412 53 an an DT A33999 412 54 Angle angle NN A33999 412 55 with with IN A33999 412 56 the the DT A33999 412 57 Plains Plains NNP A33999 412 58 Contingent Contingent NNP A33999 412 59 lines line NNS A33999 412 60 , , , A33999 412 61 equal equal JJ A33999 412 62 to to IN A33999 412 63 the the DT A33999 412 64 complement complement NN A33999 412 65 of of IN A33999 412 66 the the DT A33999 412 67 Ark Ark NNP A33999 412 68 of of IN A33999 412 69 its -PRON- PRP$ A33999 412 70 distance distance NN A33999 412 71 from from IN A33999 412 72 the the DT A33999 412 73 Substile Substile NNP A33999 412 74 . . . A33999 413 1 This this DT A33999 413 2 Plain Plain NNP A33999 413 3 is be VBZ A33999 413 4 capable capable JJ A33999 413 5 of of IN A33999 413 6 more more JJR A33999 413 7 hours hour NNS A33999 413 8 which which WDT A33999 413 9 can can MD A33999 413 10 not not RB A33999 413 11 conveniently conveniently RB A33999 413 12 be be VB A33999 413 13 brought bring VBN A33999 413 14 on on RP A33999 413 15 . . . A33999 414 1 After after IN A33999 414 2 the the DT A33999 414 3 same same JJ A33999 414 4 manner manner NN A33999 414 5 are be VBP A33999 414 6 upright upright RB A33999 414 7 far far RB A33999 414 8 Decliners decliner NNS A33999 414 9 to to TO A33999 414 10 be be VB A33999 414 11 dealt deal VBN A33999 414 12 withall withall JJ A33999 414 13 , , , A33999 414 14 and and CC A33999 414 15 all all DT A33999 414 16 other other JJ A33999 414 17 Plains Plains NNPS A33999 414 18 having have VBG A33999 414 19 small small JJ A33999 414 20 height height NN A33999 414 21 of of IN A33999 414 22 Stile Stile NNP A33999 414 23 . . . A33999 415 1 But but CC A33999 415 2 to to TO A33999 415 3 limit limit VB A33999 415 4 the the DT A33999 415 5 outward outward JJ A33999 415 6 hours hour NNS A33999 415 7 on on IN A33999 415 8 Polar Polar NNP A33999 415 9 plains plain NNS A33999 415 10 , , , A33999 415 11 and and CC A33999 415 12 East East NNP A33999 415 13 or or CC A33999 415 14 West West NNP A33999 415 15 Plains Plains NNPS A33999 415 16 , , , A33999 415 17 the the DT A33999 415 18 trouble trouble NN A33999 415 19 will will MD A33999 415 20 not not RB A33999 415 21 be be VB A33999 415 22 half half RB A33999 415 23 so so RB A33999 415 24 much much JJ A33999 415 25 . . . A33999 416 1 A a DT A33999 416 2 South South NNP A33999 416 3 Plain Plain NNP A33999 416 4 Declining Declining NNP A33999 416 5 Eastwards eastward NNS A33999 416 6 30 30 CD A33999 416 7 degrees degree NNS A33999 416 8 , , , A33999 416 9 Reclining recline VBG A33999 416 10 25 25 CD A33999 416 11 degrees degree NNS A33999 416 12 , , , A33999 416 13 Latitude Latitude NNP A33999 416 14 51 51 CD A33999 416 15 degrees degree NNS A33999 416 16 , , , A33999 416 17 32 32 CD A33999 416 18 minutes minute NNS A33999 416 19 . . . A33999 417 1 A a DT A33999 417 2 second second JJ A33999 417 3 method method NN A33999 417 4 of of IN A33999 417 5 Calculation Calculation NNP A33999 417 6 for for IN A33999 417 7 Oblique Oblique NNP A33999 417 8 Plains Plains NNPS A33999 417 9 . . . A33999 418 1 By by IN A33999 418 2 the the DT A33999 418 3 former former JJ A33999 418 4 method method NN A33999 418 5 the the DT A33999 418 6 Meridians Meridians NNPS A33999 418 7 distance distance NN A33999 418 8 from from IN A33999 418 9 the the DT A33999 418 10 Plains Plains NNPS A33999 418 11 perpendicular perpendicular NN A33999 418 12 is be VBZ A33999 418 13 to to TO A33999 418 14 be be VB A33999 418 15 found find VBN A33999 418 16 , , , A33999 418 17 and and CC A33999 418 18 the the DT A33999 418 19 Polar Polar NNP A33999 418 20 Reclination Reclination NNP A33999 418 21 Calculated calculate VBN A33999 418 22 . . . A33999 419 1 Then then RB A33999 419 2 for for IN A33999 419 3 South South NNP A33999 419 4 Recliners Recliners NNPS A33999 419 5 , , , A33999 419 6 or or CC A33999 419 7 North North NNP A33999 419 8 Incliners Incliners NNPS A33999 419 9 , , , A33999 419 10 get get VB A33999 419 11 the the DT A33999 419 12 difference difference NN A33999 419 13 , , , A33999 419 14 but but CC A33999 419 15 for for IN A33999 419 16 North North NNP A33999 419 17 Recliners Recliners NNPS A33999 419 18 or or CC A33999 419 19 South South NNP A33999 419 20 Incliners Incliners NNPS A33999 419 21 the the DT A33999 419 22 sum sum NN A33999 419 23 , , , A33999 419 24 of of IN A33999 419 25 the the DT A33999 419 26 Polar Polar NNP A33999 419 27 Plains Plains NNPS A33999 419 28 Reclination Reclination NNP A33999 419 29 , , , A33999 419 30 and and CC A33999 419 31 of of IN A33999 419 32 the the DT A33999 419 33 Reclination Reclination NNP A33999 419 34 of of IN A33999 419 35 the the DT A33999 419 36 Plain Plain NNP A33999 419 37 proposed propose VBN A33999 419 38 , , , A33999 419 39 and and CC A33999 419 40 it -PRON- PRP A33999 419 41 holds hold VBZ A33999 419 42 . . . A33999 420 1 As as IN A33999 420 2 the the DT A33999 420 3 Cosine Cosine NNP A33999 420 4 of of IN A33999 420 5 the the DT A33999 420 6 Polar Polar NNP A33999 420 7 Plains Plains NNPS A33999 420 8 Reclination Reclination NNP A33999 420 9 , , , A33999 420 10 Is be VBZ A33999 420 11 to to IN A33999 420 12 the the DT A33999 420 13 Sine Sine NNP A33999 420 14 of of IN A33999 420 15 the the DT A33999 420 16 former former JJ A33999 420 17 sum sum NN A33999 420 18 or or CC A33999 420 19 difference difference NN A33999 420 20 , , , A33999 420 21 So so RB A33999 420 22 is be VBZ A33999 420 23 the the DT A33999 420 24 sine sine NN A33999 420 25 of of IN A33999 420 26 the the DT A33999 420 27 Latitude Latitude NNP A33999 420 28 , , , A33999 420 29 To to IN A33999 420 30 the the DT A33999 420 31 Sine Sine NNP A33999 420 32 of of IN A33999 420 33 the the DT A33999 420 34 stiles stile NNS A33999 420 35 height height NN A33999 420 36 . . . A33999 421 1 Which which WDT A33999 421 2 Pole Pole NNP A33999 421 3 is be VBZ A33999 421 4 elevated elevated JJ A33999 421 5 is be VBZ A33999 421 6 elevated elevate VBN A33999 421 7 is be VBZ A33999 421 8 easily easily RB A33999 421 9 determined determine VBN A33999 421 10 , , , A33999 421 11 by by IN A33999 421 12 comparing compare VBG A33999 421 13 the the DT A33999 421 14 Reclination Reclination NNP A33999 421 15 of of IN A33999 421 16 the the DT A33999 421 17 proposed propose VBN A33999 421 18 Plain Plain NNP A33999 421 19 with with IN A33999 421 20 the the DT A33999 421 21 Polar Polar NNP A33999 421 22 Reclination Reclination NNP A33999 421 23 , , , A33999 421 24 and and CC A33999 421 25 all all DT A33999 421 26 other other JJ A33999 421 27 affections affection NNS A33999 421 28 are be VBP A33999 421 29 to to TO A33999 421 30 be be VB A33999 421 31 determined determine VBN A33999 421 32 , , , A33999 421 33 as as IN A33999 421 34 in in IN A33999 421 35 the the DT A33999 421 36 first first JJ A33999 421 37 Method Method NNP A33999 421 38 . . . A33999 422 1 Then then RB A33999 422 2 for for IN A33999 422 3 the the DT A33999 422 4 Substile Substile NNP A33999 422 5 , , , A33999 422 6 and and CC A33999 422 7 Inclination Inclination NNP A33999 422 8 of of IN A33999 422 9 Meridians Meridians NNPS A33999 422 10 . . . A33999 423 1 As as IN A33999 423 2 the the DT A33999 423 3 Cosine Cosine NNP A33999 423 4 of of IN A33999 423 5 the the DT A33999 423 6 stiles stile NNS A33999 423 7 height height NN A33999 423 8 , , , A33999 423 9 Is be VBZ A33999 423 10 to to IN A33999 423 11 the the DT A33999 423 12 Sine Sine NNP A33999 423 13 of of IN A33999 423 14 the the DT A33999 423 15 Plains Plains NNP A33999 423 16 Declination Declination NNP A33999 423 17 , , , A33999 423 18 So so RB A33999 423 19 is be VBZ A33999 423 20 the the DT A33999 423 21 Cosine Cosine NNP A33999 423 22 of of IN A33999 423 23 the the DT A33999 423 24 Latitude Latitude NNP A33999 423 25 , , , A33999 423 26 To to IN A33999 423 27 the the DT A33999 423 28 Sine Sine NNP A33999 423 29 of of IN A33999 423 30 the the DT A33999 423 31 substiles substile NNS A33999 423 32 distance distance NN A33999 423 33 from from IN A33999 423 34 the the DT A33999 423 35 Plains Plains NNPS A33999 423 36 perpendicular perpendicular NN A33999 423 37 : : : A33999 423 38 And and CC A33999 423 39 so so RB A33999 423 40 is be VBZ A33999 423 41 the the DT A33999 423 42 Cosine Cosine NNP A33999 423 43 of of IN A33999 423 44 the the DT A33999 423 45 Reclination reclination NN A33999 423 46 , , , A33999 423 47 To to IN A33999 423 48 the the DT A33999 423 49 Sine Sine NNP A33999 423 50 of of IN A33999 423 51 the the DT A33999 423 52 Inclination Inclination NNP A33999 423 53 of of IN A33999 423 54 Meridians Meridians NNPS A33999 423 55 . . . A33999 424 1 This this DT A33999 424 2 method method NN A33999 424 3 ariseth ariseth NN A33999 424 4 from from IN A33999 424 5 the the DT A33999 424 6 aforementioned aforementioned JJ A33999 424 7 Oblique Oblique NNP A33999 424 8 Triangle Triangle NNP A33999 424 9 in in IN A33999 424 10 the the DT A33999 424 11 Sphere Sphere NNP A33999 424 12 , , , A33999 424 13 in in IN A33999 424 14 which which WDT A33999 424 15 by by IN A33999 424 16 help help NN A33999 424 17 of of IN A33999 424 18 two two CD A33999 424 19 sides side NNS A33999 424 20 , , , A33999 424 21 and and CC A33999 424 22 the the DT A33999 424 23 Angle Angle NNP A33999 424 24 comprehended comprehend VBD A33999 424 25 , , , A33999 424 26 the the DT A33999 424 27 third third JJ A33999 424 28 side side NN A33999 424 29 is be VBZ A33999 424 30 first first RB A33999 424 31 found find VBN A33999 424 32 , , , A33999 424 33 and and CC A33999 424 34 the the DT A33999 424 35 other other JJ A33999 424 36 Requisites Requisites NNPS A33999 424 37 by by IN A33999 424 38 the the DT A33999 424 39 proportions proportion NNS A33999 424 40 for for IN A33999 424 41 Opposite opposite JJ A33999 424 42 sides side NNS A33999 424 43 and and CC A33999 424 44 Angles angle NNS A33999 424 45 . . . A33999 425 1 Proportions proportion NNS A33999 425 2 for for IN A33999 425 3 upright upright JJ A33999 425 4 Decliners Decliners NNPS A33999 425 5 . . . A33999 426 1 1 1 LS A33999 426 2 . . . A33999 427 1 To to TO A33999 427 2 finde finde VB A33999 427 3 the the DT A33999 427 4 Substiles Substiles NNP A33999 427 5 distance distance NN A33999 427 6 from from IN A33999 427 7 the the DT A33999 427 8 Meridian Meridian NNP A33999 427 9 . . . A33999 428 1 As as IN A33999 428 2 the the DT A33999 428 3 Radius Radius NNP A33999 428 4 , , , A33999 428 5 Is be VBZ A33999 428 6 to to IN A33999 428 7 the the DT A33999 428 8 Sine Sine NNP A33999 428 9 of of IN A33999 428 10 the the DT A33999 428 11 Declination Declination NNP A33999 428 12 , , , A33999 428 13 So so RB A33999 428 14 is be VBZ A33999 428 15 the the DT A33999 428 16 Cotangent Cotangent NNP A33999 428 17 of of IN A33999 428 18 the the DT A33999 428 19 Latitude Latitude NNP A33999 428 20 , , , A33999 428 21 To to IN A33999 428 22 the the DT A33999 428 23 Tangent tangent NN A33999 428 24 of of IN A33999 428 25 the the DT A33999 428 26 Substile Substile NNP A33999 428 27 from from IN A33999 428 28 the the DT A33999 428 29 Meridian Meridian NNP A33999 428 30 . . . A33999 429 1 2 2 LS A33999 429 2 . . . A33999 430 1 Angle Angle NNP A33999 430 2 of of IN A33999 430 3 12 12 CD A33999 430 4 , , , A33999 430 5 and and CC A33999 430 6 6 6 CD A33999 430 7 . . . A33999 431 1 As as IN A33999 431 2 the the DT A33999 431 3 Radius Radius NNP A33999 431 4 , , , A33999 431 5 Is be VBZ A33999 431 6 to to IN A33999 431 7 the the DT A33999 431 8 Sine Sine NNP A33999 431 9 of of IN A33999 431 10 the the DT A33999 431 11 Plains Plains NNP A33999 431 12 Declination Declination NNP A33999 431 13 , , , A33999 431 14 So so RB A33999 431 15 is be VBZ A33999 431 16 the the DT A33999 431 17 Tangent Tangent NNP A33999 431 18 of of IN A33999 431 19 the the DT A33999 431 20 Latitude Latitude NNP A33999 431 21 , , , A33999 431 22 To to IN A33999 431 23 the the DT A33999 431 24 Tangent Tangent NNP A33999 431 25 of of IN A33999 431 26 the the DT A33999 431 27 Angle Angle NNP A33999 431 28 between between IN A33999 431 29 the the DT A33999 431 30 Horizontal horizontal JJ A33999 431 31 line line NN A33999 431 32 and and CC A33999 431 33 six six CD A33999 431 34 . . . A33999 432 1 3 3 LS A33999 432 2 . . . A33999 433 1 Inclination inclination NN A33999 433 2 of of IN A33999 433 3 Meridians Meridians NNPS A33999 433 4 . . . A33999 434 1 As as IN A33999 434 2 the the DT A33999 434 3 Sine Sine NNP A33999 434 4 of of IN A33999 434 5 the the DT A33999 434 6 Latitude Latitude NNP A33999 434 7 , , , A33999 434 8 Is be VBZ A33999 434 9 to to IN A33999 434 10 the the DT A33999 434 11 Radius Radius NNP A33999 434 12 , , , A33999 434 13 So so RB A33999 434 14 is be VBZ A33999 434 15 the the DT A33999 434 16 Tangent Tangent NNP A33999 434 17 of of IN A33999 434 18 the the DT A33999 434 19 Declination declination NN A33999 434 20 , , , A33999 434 21 To to IN A33999 434 22 the the DT A33999 434 23 Tangent Tangent NNP A33999 434 24 of of IN A33999 434 25 the the DT A33999 434 26 Inclination Inclination NNP A33999 434 27 of of IN A33999 434 28 Meridians Meridians NNPS A33999 434 29 : : : A33999 434 30 4 4 CD A33999 434 31 . . . A33999 435 1 Stiles stile VBZ A33999 435 2 height height RB A33999 435 3 . . . A33999 436 1 As as IN A33999 436 2 the the DT A33999 436 3 Radius Radius NNP A33999 436 4 , , , A33999 436 5 Is be VBZ A33999 436 6 to to IN A33999 436 7 the the DT A33999 436 8 Cosine Cosine NNP A33999 436 9 of of IN A33999 436 10 the the DT A33999 436 11 Latitude Latitude NNP A33999 436 12 , , , A33999 436 13 So so RB A33999 436 14 is be VBZ A33999 436 15 the the DT A33999 436 16 Cosine Cosine NNP A33999 436 17 of of IN A33999 436 18 the the DT A33999 436 19 Plains Plains NNP A33999 436 20 Declination Declination NNP A33999 436 21 , , , A33999 436 22 To to IN A33999 436 23 the the DT A33999 436 24 Sine Sine NNP A33999 436 25 of of IN A33999 436 26 the the DT A33999 436 27 stiles stile NNS A33999 436 28 height height NN A33999 436 29 . . . A33999 437 1 These these DT A33999 437 2 Arks ark NNS A33999 437 3 are be VBP A33999 437 4 largely largely RB A33999 437 5 defined define VBN A33999 437 6 in in IN A33999 437 7 my -PRON- PRP$ A33999 437 8 Treatise Treatise NNP A33999 437 9 , , , A33999 437 10 The the DT A33999 437 11 Sector Sector NNP A33999 437 12 on on IN A33999 437 13 a a DT A33999 437 14 Quadrant quadrant NN A33999 437 15 . . . A33999 438 1 For for IN A33999 438 2 East East NNP A33999 438 3 and and CC A33999 438 4 West West NNP A33999 438 5 Re Re NNP A33999 438 6 - - HYPH A33999 438 7 Incliners Incliners NNPS A33999 438 8 , , , A33999 438 9 The the DT A33999 438 10 complement complement NN A33999 438 11 of of IN A33999 438 12 the the DT A33999 438 13 Latitude Latitude NNP A33999 438 14 of of IN A33999 438 15 the the DT A33999 438 16 place place NN A33999 438 17 , , , A33999 438 18 is be VBZ A33999 438 19 such such PDT A33999 438 20 a a DT A33999 438 21 new new JJ A33999 438 22 Latitude latitude NN A33999 438 23 : : : A33999 438 24 in in IN A33999 438 25 which which WDT A33999 438 26 they -PRON- PRP A33999 438 27 shall shall MD A33999 438 28 stand stand VB A33999 438 29 as as IN A33999 438 30 upright upright JJ A33999 438 31 Plains Plains NNPS A33999 438 32 , , , A33999 438 33 and and CC A33999 438 34 the the DT A33999 438 35 complement complement NN A33999 438 36 of of IN A33999 438 37 their -PRON- PRP$ A33999 438 38 Re Re NNP A33999 438 39 - - NN A33999 438 40 Inclination Inclination NNP A33999 438 41 is be VBZ A33999 438 42 their -PRON- PRP$ A33999 438 43 new new JJ A33999 438 44 Declination declination NN A33999 438 45 in in IN A33999 438 46 that that DT A33999 438 47 new new JJ A33999 438 48 Latitude Latitude NNP A33999 438 49 , , , A33999 438 50 having have VBG A33999 438 51 thus thus RB A33999 438 52 made make VBN A33999 438 53 them -PRON- PRP A33999 438 54 upright upright JJ A33999 438 55 Decliners Decliners NNPS A33999 438 56 , , , A33999 438 57 the the DT A33999 438 58 former former JJ A33999 438 59 proportions proportion NNS A33999 438 60 will will MD A33999 438 61 serve serve VB A33999 438 62 to to TO A33999 438 63 Calculate calculate VB A33999 438 64 all all PDT A33999 438 65 the the DT A33999 438 66 Requisites Requisites NNPS A33999 438 67 . . . A33999 439 1 In in IN A33999 439 2 all all DT A33999 439 3 upright upright JJ A33999 439 4 Plains Plains NNPS A33999 439 5 , , , A33999 439 6 the the DT A33999 439 7 Meridian meridian JJ A33999 439 8 lyeth lyeth NN A33999 439 9 in in IN A33999 439 10 the the DT A33999 439 11 plains plain NNS A33999 439 12 perpendicular perpendicular JJ A33999 439 13 , , , A33999 439 14 and and CC A33999 439 15 if if IN A33999 439 16 they -PRON- PRP A33999 439 17 Decline decline VBP A33999 439 18 from from IN A33999 439 19 the the DT A33999 439 20 South South NNP A33999 439 21 ( ( -LRB- A33999 439 22 in in IN A33999 439 23 this this DT A33999 439 24 Hemisphere Hemisphere NNP A33999 439 25 ) ) -RRB- A33999 439 26 it -PRON- PRP A33999 439 27 is be VBZ A33999 439 28 to to TO A33999 439 29 descend descend VB A33999 439 30 or or CC A33999 439 31 run run VB A33999 439 32 downward downward RB A33999 439 33 ; ; : A33999 439 34 if if IN A33999 439 35 from from IN A33999 439 36 the the DT A33999 439 37 North North NNP A33999 439 38 it -PRON- PRP A33999 439 39 ascends ascend VBZ A33999 439 40 , , , A33999 439 41 and and CC A33999 439 42 the the DT A33999 439 43 Substile substile JJ A33999 439 44 lyeth lyeth NN A33999 439 45 on on IN A33999 439 46 that that DT A33999 439 47 side side NN A33999 439 48 thereof thereof RB A33999 439 49 opposite opposite RB A33999 439 50 to to IN A33999 439 51 the the DT A33999 439 52 Coast Coast NNP A33999 439 53 of of IN A33999 439 54 Declination Declination NNP A33999 439 55 . . . A33999 440 1 In in IN A33999 440 2 East East NNP A33999 440 3 or or CC A33999 440 4 West West NNP A33999 440 5 Re Re NNP A33999 440 6 - - HYPH A33999 440 7 Incliners Incliners NNPS A33999 440 8 , , , A33999 440 9 it -PRON- PRP A33999 440 10 lyeth lyeth VBZ A33999 440 11 in in IN A33999 440 12 the the DT A33999 440 13 plains plain NNS A33999 440 14 horizontal horizontal JJ A33999 440 15 line line NN A33999 440 16 , , , A33999 440 17 on on IN A33999 440 18 the the DT A33999 440 19 Inclining inclining NN A33999 440 20 side side NN A33999 440 21 the the DT A33999 440 22 South South NNP A33999 440 23 Pole Pole NNP A33999 440 24 is be VBZ A33999 440 25 elevated elevate VBN A33999 440 26 , , , A33999 440 27 but but CC A33999 440 28 on on IN A33999 440 29 the the DT A33999 440 30 upper upper JJ A33999 440 31 side side NN A33999 440 32 the the DT A33999 440 33 North North NNP A33999 440 34 Pole Pole NNP A33999 440 35 , , , A33999 440 36 and and CC A33999 440 37 the the DT A33999 440 38 Substile substile JJ A33999 440 39 lyeth lyeth NN A33999 440 40 above above IN A33999 440 41 or or CC A33999 440 42 below below IN A33999 440 43 that that DT A33999 440 44 end end NN A33999 440 45 of of IN A33999 440 46 the the DT A33999 440 47 Meridian meridian JJ A33999 440 48 line line NN A33999 440 49 , , , A33999 440 50 which which WDT A33999 440 51 points point VBZ A33999 440 52 to to IN A33999 440 53 the the DT A33999 440 54 Pole Pole NNP A33999 440 55 elevated elevate VBN A33999 440 56 above above IN A33999 440 57 the the DT A33999 440 58 Plain Plain NNP A33999 440 59 . . . A33999 441 1 On on IN A33999 441 2 all all DT A33999 441 3 plains plain NNS A33999 441 4 whatsoever whatsoever RB A33999 441 5 to to TO A33999 441 6 Calculate calculate VB A33999 441 7 the the DT A33999 441 8 hour hour NN A33999 441 9 distances distance NNS A33999 441 10 . . . A33999 442 1 As as IN A33999 442 2 the the DT A33999 442 3 Radius Radius NNP A33999 442 4 , , , A33999 442 5 Is be VBZ A33999 442 6 to to IN A33999 442 7 the the DT A33999 442 8 Sine Sine NNP A33999 442 9 of of IN A33999 442 10 the the DT A33999 442 11 stiles stile NNS A33999 442 12 height height NN A33999 442 13 above above IN A33999 442 14 the the DT A33999 442 15 substile substile NN A33999 442 16 , , , A33999 442 17 So so RB A33999 442 18 is be VBZ A33999 442 19 the the DT A33999 442 20 tangent tangent NN A33999 442 21 of of IN A33999 442 22 the the DT A33999 442 23 Angle Angle NNP A33999 442 24 at at IN A33999 442 25 the the DT A33999 442 26 Pole Pole NNP A33999 442 27 , , , A33999 442 28 To to IN A33999 442 29 the the DT A33999 442 30 tangent tangent NN A33999 442 31 of of IN A33999 442 32 the the DT A33999 442 33 hour hour NN A33999 442 34 - - HYPH A33999 442 35 lines line NNS A33999 442 36 distance distance NN A33999 442 37 from from IN A33999 442 38 the the DT A33999 442 39 substilar substilar JJ A33999 442 40 line line NN A33999 442 41 . . . A33999 443 1 By by IN A33999 443 2 the the DT A33999 443 3 Angle Angle NNP A33999 443 4 at at IN A33999 443 5 the the DT A33999 443 6 Pole Pole NNP A33999 443 7 , , , A33999 443 8 is be VBZ A33999 443 9 meant mean VBN A33999 443 10 the the DT A33999 443 11 Ark Ark NNP A33999 443 12 of of IN A33999 443 13 difference difference NN A33999 443 14 between between IN A33999 443 15 the the DT A33999 443 16 Ark Ark NNP A33999 443 17 called call VBD A33999 443 18 the the DT A33999 443 19 Inclination Inclination NNP A33999 443 20 of of IN A33999 443 21 Meridians Meridians NNPS A33999 443 22 , , , A33999 443 23 and and CC A33999 443 24 the the DT A33999 443 25 distance distance NN A33999 443 26 of of IN A33999 443 27 any any DT A33999 443 28 hour hour NN A33999 443 29 from from IN A33999 443 30 the the DT A33999 443 31 Meridian Meridian NNP A33999 443 32 for for IN A33999 443 33 all all DT A33999 443 34 hours hour NNS A33999 443 35 on on IN A33999 443 36 the the DT A33999 443 37 same same JJ A33999 443 38 side side NN A33999 443 39 of of IN A33999 443 40 the the DT A33999 443 41 Meridian Meridian NNP A33999 443 42 the the DT A33999 443 43 Substile Substile NNP A33999 443 44 falls fall NNS A33999 443 45 , , , A33999 443 46 and and CC A33999 443 47 the the DT A33999 443 48 sum sum NN A33999 443 49 of of IN A33999 443 50 these these DT A33999 443 51 two two CD A33999 443 52 Arks ark NNS A33999 443 53 for for IN A33999 443 54 all all DT A33999 443 55 hours hour NNS A33999 443 56 on on IN A33999 443 57 the the DT A33999 443 58 other other JJ A33999 443 59 side side NN A33999 443 60 the the DT A33999 443 61 Meridian Meridian NNP A33999 443 62 . . . A33999 444 1 All all DT A33999 444 2 hours hour NNS A33999 444 3 on on IN A33999 444 4 any any DT A33999 444 5 Plain Plain NNP A33999 444 6 go go VB A33999 444 7 to to IN A33999 444 8 the the DT A33999 444 9 contrary contrary JJ A33999 444 10 Coast coast NN A33999 444 11 of of IN A33999 444 12 their -PRON- PRP$ A33999 444 13 Scituation scituation NN A33999 444 14 in in IN A33999 444 15 the the DT A33999 444 16 Sphere Sphere NNP A33999 444 17 , , , A33999 444 18 thus thus RB A33999 444 19 all all PDT A33999 444 20 the the DT A33999 444 21 morning morning NN A33999 444 22 or or CC A33999 444 23 Eastern eastern JJ A33999 444 24 hours hour NNS A33999 444 25 , , , A33999 444 26 go go VB A33999 444 27 to to IN A33999 444 28 the the DT A33999 444 29 Western Western NNP A33999 444 30 Coast Coast NNP A33999 444 31 of of IN A33999 444 32 the the DT A33999 444 33 plain plain NN A33999 444 34 , , , A33999 444 35 and and CC A33999 444 36 all all PDT A33999 444 37 the the DT A33999 444 38 evening evening NN A33999 444 39 or or CC A33999 444 40 Western western JJ A33999 444 41 hours hour NNS A33999 444 42 , , , A33999 444 43 go go VB A33999 444 44 to to IN A33999 444 45 the the DT A33999 444 46 Eastern Eastern NNP A33999 444 47 Coast Coast NNP A33999 444 48 of of IN A33999 444 49 the the DT A33999 444 50 Plain Plain NNP A33999 444 51 . . . A33999 445 1 A a DT A33999 445 2 third third JJ A33999 445 3 Method Method NNP A33999 445 4 of of IN A33999 445 5 Calculation Calculation NNP A33999 445 6 for for IN A33999 445 7 leaning lean VBG A33999 445 8 Plains Plains NNPS A33999 445 9 , , , A33999 445 10 that that RB A33999 445 11 is is RB A33999 445 12 , , , A33999 445 13 for for IN A33999 445 14 all all DT A33999 445 15 sorts sort NNS A33999 445 16 of of IN A33999 445 17 Plains Plains NNPS A33999 445 18 that that WDT A33999 445 19 do do VBP A33999 445 20 both both DT A33999 445 21 Decline Decline NNP A33999 445 22 , , , A33999 445 23 and and CC A33999 445 24 also also RB A33999 445 25 Incline Incline NNP A33999 445 26 or or CC A33999 445 27 Recline Recline NNP A33999 445 28 . . . A33999 446 1 They -PRON- PRP A33999 446 2 may may MD A33999 446 3 be be VB A33999 446 4 referred refer VBN A33999 446 5 to to IN A33999 446 6 a a DT A33999 446 7 new new JJ A33999 446 8 Latitude Latitude NNP A33999 446 9 , , , A33999 446 10 in in IN A33999 446 11 which which WDT A33999 446 12 they -PRON- PRP A33999 446 13 shall shall MD A33999 446 14 stand stand VB A33999 446 15 as as IN A33999 446 16 upright upright JJ A33999 446 17 Plains Plains NNPS A33999 446 18 , , , A33999 446 19 and and CC A33999 446 20 then then RB A33999 446 21 they -PRON- PRP A33999 446 22 will will MD A33999 446 23 have have VB A33999 446 24 a a DT A33999 446 25 new new JJ A33999 446 26 Declination declination NN A33999 446 27 in in IN A33999 446 28 that that DT A33999 446 29 new new JJ A33999 446 30 Latitude Latitude NNP A33999 446 31 ; ; : A33999 446 32 which which WDT A33999 446 33 two two CD A33999 446 34 things thing NNS A33999 446 35 being be VBG A33999 446 36 found find VBN A33999 446 37 , , , A33999 446 38 the the DT A33999 446 39 former former JJ A33999 446 40 Proportions Proportions NNP A33999 446 41 for for IN A33999 446 42 upright upright JJ A33999 446 43 Decliners Decliners NNPS A33999 446 44 will will MD A33999 446 45 serve serve VB A33999 446 46 to to TO A33999 446 47 Calculate calculate VB A33999 446 48 all all PDT A33999 446 49 the the DT A33999 446 50 Arks Arks NNP A33999 446 51 required require VBD A33999 446 52 . . . A33999 447 1 How how WRB A33999 447 2 this this DT A33999 447 3 may may MD A33999 447 4 be be VB A33999 447 5 done do VBN A33999 447 6 on on IN A33999 447 7 a a DT A33999 447 8 Globe Globe NNP A33999 447 9 , , , A33999 447 10 is be VBZ A33999 447 11 not not RB A33999 447 12 difficult difficult JJ A33999 447 13 to to TO A33999 447 14 apprehend apprehend VB A33999 447 15 , , , A33999 447 16 having have VBG A33999 447 17 set set VBN A33999 447 18 the the DT A33999 447 19 Globe Globe NNP A33999 447 20 to to IN A33999 447 21 your -PRON- PRP$ A33999 447 22 Latitude Latitude NNP A33999 447 23 , , , A33999 447 24 let let VB A33999 447 25 one one CD A33999 447 26 of of IN A33999 447 27 the the DT A33999 447 28 Meridians Meridians NNPS A33999 447 29 of of IN A33999 447 30 the the DT A33999 447 31 Ecliptick Ecliptick NNP A33999 447 32 or or CC A33999 447 33 Longitude Longitude NNP A33999 447 34 in in IN A33999 447 35 the the DT A33999 447 36 heavens heavens NNPS A33999 447 37 , , , A33999 447 38 represent represent VBP A33999 447 39 a a DT A33999 447 40 Declining Declining NNP A33999 447 41 Reclining recline VBG A33999 447 42 Plain Plain NNP A33999 447 43 , , , A33999 447 44 this this DT A33999 447 45 Circle Circle NNP A33999 447 46 intersects intersect VBZ A33999 447 47 the the DT A33999 447 48 Meridian Meridian NNP A33999 447 49 of of IN A33999 447 50 the the DT A33999 447 51 place place NN A33999 447 52 in in IN A33999 447 53 two two CD A33999 447 54 Points Points NNPS A33999 447 55 , , , A33999 447 56 the the DT A33999 447 57 one one NN A33999 447 58 above above RB A33999 447 59 , , , A33999 447 60 the the DT A33999 447 61 other other JJ A33999 447 62 beneath beneath IN A33999 447 63 the the DT A33999 447 64 Horizon Horizon NNP A33999 447 65 : : : A33999 447 66 Imagine imagine VB A33999 447 67 the the DT A33999 447 68 Globe Globe NNP A33999 447 69 to to TO A33999 447 70 be be VB A33999 447 71 so so RB A33999 447 72 fixed fix VBN A33999 447 73 , , , A33999 447 74 that that IN A33999 447 75 it -PRON- PRP A33999 447 76 can can MD A33999 447 77 not not RB A33999 447 78 move move VB A33999 447 79 upon upon IN A33999 447 80 its -PRON- PRP$ A33999 447 81 Poles Poles NNPS A33999 447 82 , , , A33999 447 83 then then RB A33999 447 84 elevate elevate VB A33999 447 85 or or CC A33999 447 86 depress depress VBP A33999 447 87 the the DT A33999 447 88 Globe Globe NNP A33999 447 89 so so RB A33999 447 90 in in IN A33999 447 91 the the DT A33999 447 92 Meridian Meridian NNP A33999 447 93 that that IN A33999 447 94 the the DT A33999 447 95 point point NN A33999 447 96 of of IN A33999 447 97 Intersection intersection NN A33999 447 98 above above IN A33999 447 99 the the DT A33999 447 100 Horizon Horizon NNP A33999 447 101 may may MD A33999 447 102 come come VB A33999 447 103 under under IN A33999 447 104 the the DT A33999 447 105 Zenith Zenith NNP A33999 447 106 , , , A33999 447 107 then then RB A33999 447 108 will will MD A33999 447 109 the the DT A33999 447 110 Pole Pole NNP A33999 447 111 of of IN A33999 447 112 the the DT A33999 447 113 world world NN A33999 447 114 be be VB A33999 447 115 elevated elevate VBN A33999 447 116 above above IN A33999 447 117 the the DT A33999 447 118 Horizon Horizon NNP A33999 447 119 to to IN A33999 447 120 the the DT A33999 447 121 new new JJ A33999 447 122 Latitude Latitude NNP A33999 447 123 sought seek VBD A33999 447 124 , , , A33999 447 125 and and CC A33999 447 126 where where WRB A33999 447 127 the the DT A33999 447 128 Meridian Meridian NNP A33999 447 129 of of IN A33999 447 130 Longitude Longitude NNP A33999 447 131 that that WDT A33999 447 132 represents represent VBZ A33999 447 133 the the DT A33999 447 134 Plain Plain NNP A33999 447 135 intersects intersect VBZ A33999 447 136 the the DT A33999 447 137 Horizon Horizon NNP A33999 447 138 it -PRON- PRP A33999 447 139 shews shew VBZ A33999 447 140 the the DT A33999 447 141 new new JJ A33999 447 142 Declination Declination NNP A33999 447 143 . . . A33999 448 1 Or or CC A33999 448 2 it -PRON- PRP A33999 448 3 may may MD A33999 448 4 be be VB A33999 448 5 thus thus RB A33999 448 6 apprehended apprehend VBN A33999 448 7 : : : A33999 448 8 The the DT A33999 448 9 distance distance NN A33999 448 10 between between IN A33999 448 11 the the DT A33999 448 12 Pole Pole NNP A33999 448 13 of of IN A33999 448 14 the the DT A33999 448 15 world world NN A33999 448 16 , , , A33999 448 17 and and CC A33999 448 18 that that DT A33999 448 19 point point NN A33999 448 20 of of IN A33999 448 21 Intersection intersection NN A33999 448 22 that that WDT A33999 448 23 represents represent VBZ A33999 448 24 the the DT A33999 448 25 Zenith Zenith NNP A33999 448 26 of of IN A33999 448 27 the the DT A33999 448 28 new new JJ A33999 448 29 Latitude Latitude NNP A33999 448 30 , , , A33999 448 31 is be VBZ A33999 448 32 the the DT A33999 448 33 complement complement NN A33999 448 34 of of IN A33999 448 35 the the DT A33999 448 36 said say VBN A33999 448 37 new new JJ A33999 448 38 Latitude Latitude NNP A33999 448 39 , , , A33999 448 40 and and CC A33999 448 41 the the DT A33999 448 42 distance distance NN A33999 448 43 between between IN A33999 448 44 that that DT A33999 448 45 point point NN A33999 448 46 , , , A33999 448 47 and and CC A33999 448 48 the the DT A33999 448 49 Equinoctial Equinoctial NNP A33999 448 50 is be VBZ A33999 448 51 the the DT A33999 448 52 new new JJ A33999 448 53 Latitude Latitude NNP A33999 448 54 it -PRON- PRP A33999 448 55 self self NN A33999 448 56 ; ; : A33999 448 57 the the DT A33999 448 58 new new JJ A33999 448 59 Declination Declination NNP A33999 448 60 is be VBZ A33999 448 61 the the DT A33999 448 62 complement complement NN A33999 448 63 of of IN A33999 448 64 the the DT A33999 448 65 Angle Angle NNP A33999 448 66 between between IN A33999 448 67 the the DT A33999 448 68 plain plain NN A33999 448 69 and and CC A33999 448 70 the the DT A33999 448 71 meridian meridian NN A33999 448 72 of of IN A33999 448 73 the the DT A33999 448 74 place place NN A33999 448 75 , , , A33999 448 76 an an DT A33999 448 77 Ark Ark NNP A33999 448 78 usually usually RB A33999 448 79 found find VBN A33999 448 80 in in IN A33999 448 81 Calculation Calculation NNP A33999 448 82 under under IN A33999 448 83 this this DT A33999 448 84 denomination denomination NN A33999 448 85 . . . A33999 449 1 To to TO A33999 449 2 finde finde VB A33999 449 3 these these DT A33999 449 4 Arks Arks NNP A33999 449 5 by by IN A33999 449 6 Calculation Calculation NNP A33999 449 7 . . . A33999 450 1 As as IN A33999 450 2 the the DT A33999 450 3 Radius Radius NNP A33999 450 4 , , , A33999 450 5 Is be VBZ A33999 450 6 to to IN A33999 450 7 the the DT A33999 450 8 Cosine Cosine NNP A33999 450 9 of of IN A33999 450 10 the the DT A33999 450 11 Plains Plains NNP A33999 450 12 Declination Declination NNP A33999 450 13 , , , A33999 450 14 So so RB A33999 450 15 is be VBZ A33999 450 16 the the DT A33999 450 17 Cotangent Cotangent NNP A33999 450 18 of of IN A33999 450 19 the the DT A33999 450 20 Re Re NNP A33999 450 21 - - NN A33999 450 22 Inclination Inclination NNP A33999 450 23 from from IN A33999 450 24 the the DT A33999 450 25 Zenith Zenith NNP A33999 450 26 , , , A33999 450 27 To to IN A33999 450 28 the the DT A33999 450 29 tangent tangent NN A33999 450 30 of of IN A33999 450 31 the the DT A33999 450 32 Meridional Meridional NNP A33999 450 33 Ark Ark NNP A33999 450 34 , , , A33999 450 35 namely namely RB A33999 450 36 the the DT A33999 450 37 Ark Ark NNP A33999 450 38 of of IN A33999 450 39 the the DT A33999 450 40 Meridian Meridian NNP A33999 450 41 between between IN A33999 450 42 the the DT A33999 450 43 Plain Plain NNP A33999 450 44 and and CC A33999 450 45 the the DT A33999 450 46 Horizon Horizon NNP A33999 450 47 . . . A33999 451 1 And and CC A33999 451 2 this this DT A33999 451 3 is be VBZ A33999 451 4 the the DT A33999 451 5 first first JJ A33999 451 6 thing thing NN A33999 451 7 Master Master NNP A33999 451 8 Gunter Gunter NNP A33999 451 9 and and CC A33999 451 10 others other NNS A33999 451 11 finde finde RB A33999 451 12 ; ; : A33999 451 13 for for IN A33999 451 14 South South NNP A33999 451 15 Recliners Recliners NNPS A33999 451 16 North North NNP A33999 451 17 Incliners Incliners NNPS A33999 451 18 the the DT A33999 451 19 one one CD A33999 451 20 being be VBG A33999 451 21 the the DT A33999 451 22 upper upper JJ A33999 451 23 , , , A33999 451 24 the the DT A33999 451 25 other other JJ A33999 451 26 the the DT A33999 451 27 under under JJ A33999 451 28 face face NN A33999 451 29 , , , A33999 451 30 get get VB A33999 451 31 the the DT A33999 451 32 difference difference NN A33999 451 33 between between IN A33999 451 34 this this DT A33999 451 35 Ark Ark NNP A33999 451 36 and and CC A33999 451 37 the the DT A33999 451 38 Latitude Latitude NNP A33999 451 39 of of IN A33999 451 40 the the DT A33999 451 41 place place NN A33999 451 42 , , , A33999 451 43 the the DT A33999 451 44 complement complement NN A33999 451 45 of of IN A33999 451 46 the the DT A33999 451 47 said say VBN A33999 451 48 residue residue NN A33999 451 49 , , , A33999 451 50 remainder remainder NN A33999 451 51 , , , A33999 451 52 or or CC A33999 451 53 difference difference NN A33999 451 54 , , , A33999 451 55 is be VBZ A33999 451 56 the the DT A33999 451 57 new new JJ A33999 451 58 Latitude Latitude NNP A33999 451 59 sought seek VBD A33999 451 60 ; ; : A33999 451 61 but but CC A33999 451 62 for for IN A33999 451 63 North North NNP A33999 451 64 Recliners Recliners NNPS A33999 451 65 or or CC A33999 451 66 South South NNP A33999 451 67 Incliners Incliners NNPS A33999 451 68 , , , A33999 451 69 the the DT A33999 451 70 difference difference NN A33999 451 71 between between IN A33999 451 72 this this DT A33999 451 73 fourth fourth JJ A33999 451 74 Arch Arch NNP A33999 451 75 and and CC A33999 451 76 the the DT A33999 451 77 complement complement NN A33999 451 78 of of IN A33999 451 79 the the DT A33999 451 80 old old JJ A33999 451 81 Latitude Latitude NNP A33999 451 82 is be VBZ A33999 451 83 the the DT A33999 451 84 new new JJ A33999 451 85 Latitude Latitude NNP A33999 451 86 . . . A33999 452 1 To to TO A33999 452 2 finde finde VB A33999 452 3 the the DT A33999 452 4 new new JJ A33999 452 5 Declination declination NN A33999 452 6 : : : A33999 452 7 As as IN A33999 452 8 the the DT A33999 452 9 Radius Radius NNP A33999 452 10 , , , A33999 452 11 Is be VBZ A33999 452 12 to to IN A33999 452 13 the the DT A33999 452 14 Cosine Cosine NNP A33999 452 15 of of IN A33999 452 16 the the DT A33999 452 17 Re Re NNP A33999 452 18 - - HYPH A33999 452 19 Inclination Inclination NNP A33999 452 20 , , , A33999 452 21 So so RB A33999 452 22 is be VBZ A33999 452 23 the the DT A33999 452 24 sine sine NN A33999 452 25 of of IN A33999 452 26 the the DT A33999 452 27 old old JJ A33999 452 28 Declination Declination NNP A33999 452 29 , , , A33999 452 30 To to IN A33999 452 31 the the DT A33999 452 32 sine sine NN A33999 452 33 of of IN A33999 452 34 the the DT A33999 452 35 new new JJ A33999 452 36 . . . A33999 453 1 This this DT A33999 453 2 method method NN A33999 453 3 is be VBZ A33999 453 4 hinted hint VBN A33999 453 5 to to IN A33999 453 6 us -PRON- PRP A33999 453 7 in in IN A33999 453 8 Mr. Mr. NNP A33999 454 1 Fosters Fosters NNPS A33999 454 2 Posthuma Posthuma NNP A33999 454 3 , , , A33999 454 4 also also RB A33999 454 5 in in IN A33999 454 6 his -PRON- PRP$ A33999 454 7 Book Book NNP A33999 454 8 of of IN A33999 454 9 Dyalling dyalle VBG A33999 454 10 in in IN A33999 454 11 Anno Anno NNP A33999 454 12 1638 1638 CD A33999 454 13 , , , A33999 454 14 where where WRB A33999 454 15 he -PRON- PRP A33999 454 16 refers refer VBZ A33999 454 17 leaning lean VBG A33999 454 18 plains plain NNS A33999 454 19 to to IN A33999 454 20 such such PDT A33999 454 21 a a DT A33999 454 22 Latitude Latitude NNP A33999 454 23 wherein wherein WRB A33999 454 24 they -PRON- PRP A33999 454 25 may may MD A33999 454 26 become become VB A33999 454 27 East East NNP A33999 454 28 or or CC A33999 454 29 West West NNP A33999 454 30 Recliners Recliners NNPS A33999 454 31 , , , A33999 454 32 but but CC A33999 454 33 that that DT A33999 454 34 method method NN A33999 454 35 is be VBZ A33999 454 36 to to TO A33999 454 37 be be VB A33999 454 38 deserted desert VBN A33999 454 39 , , , A33999 454 40 as as IN A33999 454 41 multiplying multiply VBG A33999 454 42 more more JJR A33999 454 43 proportions proportion NNS A33999 454 44 then then RB A33999 454 45 this this DT A33999 454 46 , , , A33999 454 47 and and CC A33999 454 48 doth doth NN A33999 454 49 not not RB A33999 454 50 afford afford VB A33999 454 51 that that DT A33999 454 52 instrumental instrumental JJ A33999 454 53 ease ease NN A33999 454 54 for for IN A33999 454 55 pricking prick VBG A33999 454 56 down down RP A33999 454 57 the the DT A33999 454 58 hours hour NNS A33999 454 59 that that IN A33999 454 60 this this DT A33999 454 61 doth doth NN A33999 454 62 . . . A33999 455 1 Affections affection NNS A33999 455 2 determined determine VBD A33999 455 3 . . . A33999 456 1 Such such JJ A33999 456 2 South South NNP A33999 456 3 Recliners Recliners NNPS A33999 456 4 , , , A33999 456 5 whose whose WP$ A33999 456 6 meridional meridional JJ A33999 456 7 Arch Arch NNP A33999 456 8 is be VBZ A33999 456 9 less less JJR A33999 456 10 then then RB A33999 456 11 the the DT A33999 456 12 Latitude Latitude NNP A33999 456 13 , , , A33999 456 14 pass pass VB A33999 456 15 beneath beneath IN A33999 456 16 the the DT A33999 456 17 Pole Pole NNP A33999 456 18 , , , A33999 456 19 and and CC A33999 456 20 have have VBP A33999 456 21 the the DT A33999 456 22 North North NNP A33999 456 23 Pole Pole NNP A33999 456 24 elevated elevate VBN A33999 456 25 above above IN A33999 456 26 them -PRON- PRP A33999 456 27 , , , A33999 456 28 but but CC A33999 456 29 if if IN A33999 456 30 the the DT A33999 456 31 meridional meridional JJ A33999 456 32 Ark Ark NNP A33999 456 33 be be VB A33999 456 34 greater great JJR A33999 456 35 then then RB A33999 456 36 the the DT A33999 456 37 Latitude Latitude NNP A33999 456 38 , , , A33999 456 39 they -PRON- PRP A33999 456 40 pass pass VBP A33999 456 41 above above IN A33999 456 42 the the DT A33999 456 43 Pole Pole NNP A33999 456 44 , , , A33999 456 45 the the DT A33999 456 46 North North NNP A33999 456 47 Pole Pole NNP A33999 456 48 is be VBZ A33999 456 49 elevated elevate VBN A33999 456 50 on on IN A33999 456 51 the the DT A33999 456 52 under under JJ A33999 456 53 face face NN A33999 456 54 , , , A33999 456 55 all all DT A33999 456 56 other other JJ A33999 456 57 affections affection NNS A33999 456 58 are be VBP A33999 456 59 before before RB A33999 456 60 determined determined JJ A33999 456 61 . . . A33999 457 1 If if IN A33999 457 2 the the DT A33999 457 3 meridional meridional JJ A33999 457 4 Arch Arch NNP A33999 457 5 be be VB A33999 457 6 equal equal JJ A33999 457 7 to to IN A33999 457 8 the the DT A33999 457 9 Latitude Latitude NNP A33999 457 10 , , , A33999 457 11 the the DT A33999 457 12 plain plain NN A33999 457 13 is be VBZ A33999 457 14 a a DT A33999 457 15 Polar Polar NNP A33999 457 16 plain plain NN A33999 457 17 ; ; : A33999 457 18 for for IN A33999 457 19 plains plain NNS A33999 457 20 leaning lean VBG A33999 457 21 Southwards Southwards NNP A33999 457 22 , , , A33999 457 23 if if IN A33999 457 24 the the DT A33999 457 25 meridional meridional JJ A33999 457 26 Arch Arch NNP A33999 457 27 be be VB A33999 457 28 equal equal JJ A33999 457 29 to to IN A33999 457 30 the the DT A33999 457 31 complement complement NN A33999 457 32 of of IN A33999 457 33 the the DT A33999 457 34 Latitude Latitude NNP A33999 457 35 , , , A33999 457 36 the the DT A33999 457 37 plain plain NN A33999 457 38 is be VBZ A33999 457 39 an an DT A33999 457 40 Equinoctial equinoctial JJ A33999 457 41 plain plain NN A33999 457 42 , , , A33999 457 43 if if IN A33999 457 44 it -PRON- PRP A33999 457 45 be be VBP A33999 457 46 more more JJR A33999 457 47 , , , A33999 457 48 the the DT A33999 457 49 plain plain JJ A33999 457 50 hath hath NN A33999 457 51 less less JJR A33999 457 52 Reclination reclination NN A33999 457 53 then then RB A33999 457 54 an an DT A33999 457 55 Equinoctial equinoctial JJ A33999 457 56 plain plain NN A33999 457 57 , , , A33999 457 58 if if IN A33999 457 59 it -PRON- PRP A33999 457 60 be be VB A33999 457 61 less less JJR A33999 457 62 it -PRON- PRP A33999 457 63 hath hath VBP A33999 457 64 more more JJR A33999 457 65 , , , A33999 457 66 and and CC A33999 457 67 all all DT A33999 457 68 affections affection NNS A33999 457 69 necessary necessary JJ A33999 457 70 for for IN A33999 457 71 placing place VBG A33999 457 72 ( ( -LRB- A33999 457 73 and and CC A33999 457 74 Calculating calculate VBG A33999 457 75 ) ) -RRB- A33999 457 76 the the DT A33999 457 77 meridian meridian JJ A33999 457 78 line line NN A33999 457 79 were be VBD A33999 457 80 before before RB A33999 457 81 determined determine VBN A33999 457 82 . . . A33999 458 1 This this DT A33999 458 2 method method NN A33999 458 3 of of IN A33999 458 4 Calculation Calculation NNP A33999 458 5 findes find VBZ A33999 458 6 the the DT A33999 458 7 Substiles Substiles NNP A33999 458 8 distance distance NN A33999 458 9 from from IN A33999 458 10 the the DT A33999 458 11 meridian meridian NN A33999 458 12 , , , A33999 458 13 not not RB A33999 458 14 from from IN A33999 458 15 the the DT A33999 458 16 plains plain NNS A33999 458 17 perpetdicular perpetdicular NN A33999 458 18 , , , A33999 458 19 wherefore wherefore VBD A33999 458 20 it -PRON- PRP A33999 458 21 must must MD A33999 458 22 be be VB A33999 458 23 shewed shew VBN A33999 458 24 how how WRB A33999 458 25 to to TO A33999 458 26 place place VB A33999 458 27 it -PRON- PRP A33999 458 28 in in IN A33999 458 29 Plains Plains NNPS A33999 458 30 leaning lean VBG A33999 458 31 Southwards Southwards NNP A33999 458 32 , , , A33999 458 33 for for IN A33999 458 34 plains plain NNS A33999 458 35 leaning lean VBG A33999 458 36 Northwards Northwards NNPS A33999 458 37 use use VBP A33999 458 38 the the DT A33999 458 39 former former JJ A33999 458 40 directions direction NNS A33999 458 41 . . . A33999 459 1 To to TO A33999 459 2 place place VB A33999 459 3 the the DT A33999 459 4 Substile Substile NNP A33999 459 5 in in IN A33999 459 6 North North NNP A33999 459 7 Recliners Recliners NNPS A33999 459 8 . . . A33999 460 1 In in IN A33999 460 2 these these DT A33999 460 3 plains plain NNS A33999 460 4 the the DT A33999 460 5 Meridian Meridian NNP A33999 460 6 and and CC A33999 460 7 Substilar Substilar NNP A33999 460 8 are be VBP A33999 460 9 to to TO A33999 460 10 meet meet VB A33999 460 11 at at IN A33999 460 12 the the DT A33999 460 13 Center Center NNP A33999 460 14 , , , A33999 460 15 and and CC A33999 460 16 not not RB A33999 460 17 being be VBG A33999 460 18 drawn draw VBN A33999 460 19 through through RB A33999 460 20 , , , A33999 460 21 will will MD A33999 460 22 make make VB A33999 460 23 sometimes sometimes RB A33999 460 24 an an DT A33999 460 25 Acute Acute NNP A33999 460 26 , , , A33999 460 27 sometimes sometimes RB A33999 460 28 an an DT A33999 460 29 obtuse obtuse JJ A33999 460 30 Angle angle NN A33999 460 31 . . . A33999 461 1 When when WRB A33999 461 2 the the DT A33999 461 3 Plains Plains NNPS A33999 461 4 Meridional Meridional NNP A33999 461 5 Ark Ark NNP A33999 461 6 is be VBZ A33999 461 7 greater great JJR A33999 461 8 then then RB A33999 461 9 the the DT A33999 461 10 Colatitude Colatitude NNP A33999 461 11 , , , A33999 461 12 they -PRON- PRP A33999 461 13 make make VBP A33999 461 14 an an DT A33999 461 15 Obtuse Obtuse NNP A33999 461 16 Angle Angle NNP A33999 461 17 , , , A33999 461 18 in in IN A33999 461 19 this this DT A33999 461 20 Case Case NNP A33999 461 21 , , , A33999 461 22 having have VBG A33999 461 23 first first RB A33999 461 24 placed place VBN A33999 461 25 the the DT A33999 461 26 Meridian meridian JJ A33999 461 27 line line NN A33999 461 28 , , , A33999 461 29 above above IN A33999 461 30 it -PRON- PRP A33999 461 31 prick prick VB A33999 461 32 off off RP A33999 461 33 the the DT A33999 461 34 complement complement NN A33999 461 35 of of IN A33999 461 36 the the DT A33999 461 37 distance distance NN A33999 461 38 of of IN A33999 461 39 the the DT A33999 461 40 Substile Substile NNP A33999 461 41 from from IN A33999 461 42 Meridian Meridian NNP A33999 461 43 to to IN A33999 461 44 a a DT A33999 461 45 Semicircle Semicircle NNP A33999 461 46 . . . A33999 462 1 But but CC A33999 462 2 when when WRB A33999 462 3 the the DT A33999 462 4 Meridional Meridional NNP A33999 462 5 Ark Ark NNP A33999 462 6 is be VBZ A33999 462 7 less less JJR A33999 462 8 then then RB A33999 462 9 the the DT A33999 462 10 Colatitude Colatitude NNP A33999 462 11 , , , A33999 462 12 prick prick VB A33999 462 13 off off RP A33999 462 14 the the DT A33999 462 15 said say VBN A33999 462 16 distance distance NN A33999 462 17 it -PRON- PRP A33999 462 18 self self NN A33999 462 19 above above IN A33999 462 20 the the DT A33999 462 21 Meridian meridian JJ A33999 462 22 line line NN A33999 462 23 . . . A33999 463 1 In in IN A33999 463 2 South South NNP A33999 463 3 Incliners Incliners NNPS A33999 463 4 . . . A33999 464 1 When when WRB A33999 464 2 the the DT A33999 464 3 Plains Plains NNPS A33999 464 4 Meridional Meridional NNP A33999 464 5 Ark Ark NNP A33999 464 6 is be VBZ A33999 464 7 greater great JJR A33999 464 8 then then RB A33999 464 9 the the DT A33999 464 10 Colatitude Colatitude NNP A33999 464 11 , , , A33999 464 12 the the DT A33999 464 13 Substile Substile NNP A33999 464 14 and and CC A33999 464 15 Meridian Meridian NNP A33999 464 16 make make VBP A33999 464 17 an an DT A33999 464 18 Acute Acute NNP A33999 464 19 Angle Angle NNP A33999 464 20 , , , A33999 464 21 when when WRB A33999 464 22 it -PRON- PRP A33999 464 23 is be VBZ A33999 464 24 equal equal JJ A33999 464 25 to to IN A33999 464 26 the the DT A33999 464 27 Colatitude Colatitude NNP A33999 464 28 , , , A33999 464 29 they -PRON- PRP A33999 464 30 make make VBP A33999 464 31 a a DT A33999 464 32 right right JJ A33999 464 33 Angle angle NN A33999 464 34 , , , A33999 464 35 when when WRB A33999 464 36 it -PRON- PRP A33999 464 37 is be VBZ A33999 464 38 less less JJR A33999 464 39 then then RB A33999 464 40 the the DT A33999 464 41 Colatitude Colatitude NNP A33999 464 42 they -PRON- PRP A33999 464 43 make make VBP A33999 464 44 an an DT A33999 464 45 Obtuse Obtuse NNP A33999 464 46 Angle Angle NNP A33999 464 47 , , , A33999 464 48 and and CC A33999 464 49 must must MD A33999 464 50 be be VB A33999 464 51 prickt prickt NNS A33999 464 52 off off RP A33999 464 53 by by IN A33999 464 54 the the DT A33999 464 55 complement complement NN A33999 464 56 of of IN A33999 464 57 their -PRON- PRP$ A33999 464 58 distance distance NN A33999 464 59 to to IN A33999 464 60 a a DT A33999 464 61 Semicircle Semicircle NNP A33999 464 62 , , , A33999 464 63 the the DT A33999 464 64 Substile Substile NNP A33999 464 65 always always RB A33999 464 66 lying lie VBG A33999 464 67 on on IN A33999 464 68 that that DT A33999 464 69 side side NN A33999 464 70 of of IN A33999 464 71 the the DT A33999 464 72 Meridian Meridian NNP A33999 464 73 , , , A33999 464 74 opposite opposite RB A33999 464 75 to to IN A33999 464 76 the the DT A33999 464 77 Coast Coast NNP A33999 464 78 of of IN A33999 464 79 Declination Declination NNP A33999 464 80 . . . A33999 465 1 A a DT A33999 465 2 fourth fourth JJ A33999 465 3 Method Method NNP A33999 465 4 of of IN A33999 465 5 Calculation Calculation NNP A33999 465 6 for for IN A33999 465 7 leaning lean VBG A33999 465 8 Plains Plains NNPS A33999 465 9 . . . A33999 466 1 An an DT A33999 466 2 Advertisement advertisement NN A33999 466 3 . . . A33999 467 1 In in IN A33999 467 2 this this DT A33999 467 3 method method NN A33999 467 4 of of IN A33999 467 5 Calculation Calculation NNP A33999 467 6 for for IN A33999 467 7 all all DT A33999 467 8 Plains Plains NNPS A33999 467 9 leaning lean VBG A33999 467 10 Northward Northward NNP A33999 467 11 , , , A33999 467 12 both both CC A33999 467 13 upper upper JJ A33999 467 14 and and CC A33999 467 15 under under IN A33999 467 16 side side NN A33999 467 17 their -PRON- PRP$ A33999 467 18 Declination declination NN A33999 467 19 is be VBZ A33999 467 20 the the DT A33999 467 21 Arch Arch NNP A33999 467 22 of of IN A33999 467 23 the the DT A33999 467 24 Horizon Horizon NNP A33999 467 25 between between IN A33999 467 26 the the DT A33999 467 27 North North NNP A33999 467 28 and and CC A33999 467 29 the the DT A33999 467 30 Azimuth Azimuth NNP A33999 467 31 of of IN A33999 467 32 the the DT A33999 467 33 plains plain NNS A33999 467 34 South South NNP A33999 467 35 Pole Pole NNP A33999 467 36 , , , A33999 467 37 so so IN A33999 467 38 that that IN A33999 467 39 their -PRON- PRP$ A33999 467 40 Declination declination NN A33999 467 41 is be VBZ A33999 467 42 always always RB A33999 467 43 greater great JJR A33999 467 44 then then RB A33999 467 45 a a DT A33999 467 46 Quadrant Quadrant NNP A33999 467 47 ; ; : A33999 467 48 But but CC A33999 467 49 for for IN A33999 467 50 all all DT A33999 467 51 Plains plain NNS A33999 467 52 leaning lean VBG A33999 467 53 Southwards Southwards NNP A33999 467 54 , , , A33999 467 55 both both CC A33999 467 56 upper upper JJ A33999 467 57 and and CC A33999 467 58 under under IN A33999 467 59 face face NN A33999 467 60 , , , A33999 467 61 their -PRON- PRP$ A33999 467 62 Declination declination NN A33999 467 63 is be VBZ A33999 467 64 the the DT A33999 467 65 Arch Arch NNP A33999 467 66 of of IN A33999 467 67 the the DT A33999 467 68 Horizon Horizon NNP A33999 467 69 between between IN A33999 467 70 the the DT A33999 467 71 North North NNP A33999 467 72 and and CC A33999 467 73 the the DT A33999 467 74 Plains Plains NNPS A33999 467 75 North North NNP A33999 467 76 Pole Pole NNP A33999 467 77 , , , A33999 467 78 wherefore wherefore VBD A33999 467 79 it -PRON- PRP A33999 467 80 is be VBZ A33999 467 81 always always RB A33999 467 82 less less JJR A33999 467 83 then then RB A33999 467 84 a a DT A33999 467 85 Quadrant Quadrant NNP A33999 467 86 ; ; : A33999 467 87 in in IN A33999 467 88 this this DT A33999 467 89 sense sense NN A33999 467 90 Declination Declination NNP A33999 467 91 is be VBZ A33999 467 92 used use VBN A33999 467 93 in in IN A33999 467 94 the the DT A33999 467 95 following follow VBG A33999 467 96 Proportions Proportions NNP A33999 467 97 . . . A33999 468 1 As as IN A33999 468 2 the the DT A33999 468 3 Sine Sine NNP A33999 468 4 of of IN A33999 468 5 half half PDT A33999 468 6 the the DT A33999 468 7 sum sum NN A33999 468 8 of of IN A33999 468 9 the the DT A33999 468 10 complements complement NNS A33999 468 11 , , , A33999 468 12 both both DT A33999 468 13 of of IN A33999 468 14 the the DT A33999 468 15 Latitude Latitude NNP A33999 468 16 and and CC A33999 468 17 of of IN A33999 468 18 the the DT A33999 468 19 Reclination Reclination NNP A33999 468 20 , , , A33999 468 21 Is be VBZ A33999 468 22 to to IN A33999 468 23 the the DT A33999 468 24 Sine Sine NNP A33999 468 25 of of IN A33999 468 26 half half PDT A33999 468 27 their -PRON- PRP$ A33999 468 28 difference difference NN A33999 468 29 , , , A33999 468 30 So so RB A33999 468 31 is be VBZ A33999 468 32 the the DT A33999 468 33 Contagent Contagent NNP A33999 468 34 of of IN A33999 468 35 half half PDT A33999 468 36 the the DT A33999 468 37 Declination declination NN A33999 468 38 , , , A33999 468 39 To to IN A33999 468 40 the the DT A33999 468 41 Tangent tangent NN A33999 468 42 of of IN A33999 468 43 a a DT A33999 468 44 fourth fourth JJ A33999 468 45 Arch Arch NNP A33999 468 46 . . . A33999 469 1 Again again RB A33999 469 2 , , , A33999 469 3 As as IN A33999 469 4 the the DT A33999 469 5 Cosine Cosine NNP A33999 469 6 of of IN A33999 469 7 half half PDT A33999 469 8 the the DT A33999 469 9 sum sum NN A33999 469 10 of of IN A33999 469 11 the the DT A33999 469 12 former former JJ A33999 469 13 Complements Complements NNPS A33999 469 14 , , , A33999 469 15 Is be VBZ A33999 469 16 to to IN A33999 469 17 the the DT A33999 469 18 Cosine Cosine NNP A33999 469 19 of of IN A33999 469 20 half half PDT A33999 469 21 their -PRON- PRP$ A33999 469 22 difference difference NN A33999 469 23 , , , A33999 469 24 So so RB A33999 469 25 is be VBZ A33999 469 26 the the DT A33999 469 27 Contangent Contangent NNP A33999 469 28 of of IN A33999 469 29 half half PDT A33999 469 30 the the DT A33999 469 31 Declination declination NN A33999 469 32 , , , A33999 469 33 To to IN A33999 469 34 the the DT A33999 469 35 tangent tangent NN A33999 469 36 of of IN A33999 469 37 a a DT A33999 469 38 seventh seventh JJ A33999 469 39 Arch Arch NNP A33999 469 40 . . . A33999 470 1 Get get VB A33999 470 2 the the DT A33999 470 3 sum sum NN A33999 470 4 and and CC A33999 470 5 difference difference NN A33999 470 6 of of IN A33999 470 7 the the DT A33999 470 8 fourth fourth JJ A33999 470 9 and and CC A33999 470 10 seventh seventh JJ A33999 470 11 Arch Arch NNP A33999 470 12 , , , A33999 470 13 then then RB A33999 470 14 if if IN A33999 470 15 the the DT A33999 470 16 Colatitude Colatitude NNP A33999 470 17 be be VB A33999 470 18 greater great JJR A33999 470 19 then then RB A33999 470 20 the the DT A33999 470 21 complement complement NN A33999 470 22 of of IN A33999 470 23 the the DT A33999 470 24 Reclination Reclination NNP A33999 470 25 , , , A33999 470 26 the the DT A33999 470 27 sum sum NN A33999 470 28 is be VBZ A33999 470 29 the the DT A33999 470 30 Substiles Substiles NNP A33999 470 31 distance distance NN A33999 470 32 from from IN A33999 470 33 the the DT A33999 470 34 plains plain NNS A33999 470 35 perpendicular perpendicular JJ A33999 470 36 , , , A33999 470 37 and and CC A33999 470 38 the the DT A33999 470 39 difference difference NN A33999 470 40 the the DT A33999 470 41 Inclination Inclination NNP A33999 470 42 of of IN A33999 470 43 Meridians Meridians NNPS A33999 470 44 . . . A33999 471 1 But but CC A33999 471 2 if if IN A33999 471 3 it -PRON- PRP A33999 471 4 be be VBP A33999 471 5 less less JJR A33999 471 6 , , , A33999 471 7 the the DT A33999 471 8 difference difference NN A33999 471 9 is be VBZ A33999 471 10 the the DT A33999 471 11 Substiles Substiles NNP A33999 471 12 distance distance NN A33999 471 13 from from IN A33999 471 14 the the DT A33999 471 15 Plains Plains NNPS A33999 471 16 perpendicular perpendicular NN A33999 471 17 , , , A33999 471 18 and and CC A33999 471 19 the the DT A33999 471 20 sum sum NN A33999 471 21 the the DT A33999 471 22 Inclinations Inclinations NNPS A33999 471 23 of of IN A33999 471 24 Meridians Meridians NNPS A33999 471 25 . . . A33999 472 1 To to TO A33999 472 2 place place VB A33999 472 3 the the DT A33999 472 4 Substile Substile NNP A33999 472 5 . . . A33999 473 1 For for IN A33999 473 2 Plains Plains NNPS A33999 473 3 leaning lean VBG A33999 473 4 Southwards Southwards NNP A33999 473 5 , , , A33999 473 6 when when WRB A33999 473 7 the the DT A33999 473 8 Angle angle NN A33999 473 9 of of IN A33999 473 10 the the DT A33999 473 11 Substile Substile NNP A33999 473 12 from from IN A33999 473 13 the the DT A33999 473 14 Plains Plains NNP A33999 473 15 perpendicul perpendicul NNP A33999 473 16 is be VBZ A33999 473 17 less less JJR A33999 473 18 then then RB A33999 473 19 a a DT A33999 473 20 Quadrant Quadrant NNP A33999 473 21 , , , A33999 473 22 it -PRON- PRP A33999 473 23 will will MD A33999 473 24 on on IN A33999 473 25 the the DT A33999 473 26 upperface upperface NN A33999 473 27 lye lye NN A33999 473 28 above above IN A33999 473 29 that that DT A33999 473 30 end end NN A33999 473 31 of of IN A33999 473 32 the the DT A33999 473 33 Horizontal horizontal JJ A33999 473 34 line line NN A33999 473 35 that that WDT A33999 473 36 is be VBZ A33999 473 37 opposite opposite JJ A33999 473 38 to to IN A33999 473 39 the the DT A33999 473 40 Coast Coast NNP A33999 473 41 of of IN A33999 473 42 Declination Declination NNP A33999 473 43 , , , A33999 473 44 and and CC A33999 473 45 on on IN A33999 473 46 the the DT A33999 473 47 under under JJ A33999 473 48 face face NN A33999 473 49 lye lye NN A33999 473 50 beneath beneath IN A33999 473 51 it -PRON- PRP A33999 473 52 , , , A33999 473 53 but but CC A33999 473 54 when when WRB A33999 473 55 it -PRON- PRP A33999 473 56 is be VBZ A33999 473 57 greater great JJR A33999 473 58 , , , A33999 473 59 it -PRON- PRP A33999 473 60 will will MD A33999 473 61 lye lye VB A33999 473 62 below below IN A33999 473 63 the the DT A33999 473 64 said say VBN A33999 473 65 end end NN A33999 473 66 , , , A33999 473 67 on on IN A33999 473 68 the the DT A33999 473 69 upper upper JJ A33999 473 70 face face NN A33999 473 71 , , , A33999 473 72 and and CC A33999 473 73 above above IN A33999 473 74 it -PRON- PRP A33999 473 75 on on IN A33999 473 76 the the DT A33999 473 77 under under JJ A33999 473 78 face face NN A33999 473 79 , , , A33999 473 80 but but CC A33999 473 81 this this DT A33999 473 82 will will MD A33999 473 83 not not RB A33999 473 84 be be VB A33999 473 85 till till IN A33999 473 86 the the DT A33999 473 87 Reclination reclination NN A33999 473 88 be be VB A33999 473 89 more more JJR A33999 473 90 then then IN A33999 473 91 the the DT A33999 473 92 complement complement NN A33999 473 93 of of IN A33999 473 94 the the DT A33999 473 95 Reclination Reclination NNP A33999 473 96 of of IN A33999 473 97 a a DT A33999 473 98 Polar Polar NNP A33999 473 99 plain plain NN A33999 473 100 that that WDT A33999 473 101 hath hath VBP A33999 473 102 the the DT A33999 473 103 same same JJ A33999 473 104 Declination declination NN A33999 473 105 ; ; : A33999 473 106 for for IN A33999 473 107 plains plain NNS A33999 473 108 leaning lean VBG A33999 473 109 Northwards Northwards NNPS A33999 473 110 the the DT A33999 473 111 Directions Directions NNPS A33999 473 112 of of IN A33999 473 113 the the DT A33999 473 114 first first JJ A33999 473 115 Method Method NNP A33999 473 116 suffice suffice NN A33999 473 117 . . . A33999 474 1 To to TO A33999 474 2 place place VB A33999 474 3 the the DT A33999 474 4 Meridian Meridian NNP A33999 474 5 . . . A33999 475 1 Either either CC A33999 475 2 Calculate calculate VB A33999 475 3 it -PRON- PRP A33999 475 4 , , , A33999 475 5 and and CC A33999 475 6 place place VB A33999 475 7 it -PRON- PRP A33999 475 8 according accord VBG A33999 475 9 to to IN A33999 475 10 the the DT A33999 475 11 directions direction NNS A33999 475 12 of of IN A33999 475 13 the the DT A33999 475 14 first first JJ A33999 475 15 and and CC A33999 475 16 second second JJ A33999 475 17 Method Method NNP A33999 475 18 , , , A33999 475 19 or or CC A33999 475 20 else else RB A33999 475 21 Calculate calculate VB A33999 475 22 it -PRON- PRP A33999 475 23 by by IN A33999 475 24 this this DT A33999 475 25 Proportion proportion NN A33999 475 26 . . . A33999 476 1 As as IN A33999 476 2 the the DT A33999 476 3 Radius Radius NNP A33999 476 4 , , , A33999 476 5 Is be VBZ A33999 476 6 to to IN A33999 476 7 the the DT A33999 476 8 Sine Sine NNP A33999 476 9 of of IN A33999 476 10 the the DT A33999 476 11 Stiles Stiles NNP A33999 476 12 height height NN A33999 476 13 , , , A33999 476 14 So so RB A33999 476 15 is be VBZ A33999 476 16 the the DT A33999 476 17 tangent tangent NN A33999 476 18 of of IN A33999 476 19 the the DT A33999 476 20 Inclination Inclination NNP A33999 476 21 of of IN A33999 476 22 Meridians Meridians NNPS A33999 476 23 ( ( -LRB- A33999 476 24 when when WRB A33999 476 25 it -PRON- PRP A33999 476 26 is be VBZ A33999 476 27 Obtuse Obtuse NNP A33999 476 28 , , , A33999 476 29 take take VB A33999 476 30 its -PRON- PRP$ A33999 476 31 complement complement NN A33999 476 32 to to IN A33999 476 33 a a DT A33999 476 34 Semicircle Semicircle NNP A33999 476 35 ) ) -RRB- A33999 476 36 To to IN A33999 476 37 the the DT A33999 476 38 tangent tangent NN A33999 476 39 of of IN A33999 476 40 the the DT A33999 476 41 Meridian meridian JJ A33999 476 42 line line NN A33999 476 43 from from IN A33999 476 44 the the DT A33999 476 45 substilar substilar JJ A33999 476 46 . . . A33999 477 1 For for IN A33999 477 2 Plains Plains NNPS A33999 477 3 leaning lean VBG A33999 477 4 Northward Northward NNP A33999 477 5 , , , A33999 477 6 the the DT A33999 477 7 first first JJ A33999 477 8 directions direction NNS A33999 477 9 must must MD A33999 477 10 serve serve VB A33999 477 11 , , , A33999 477 12 but but CC A33999 477 13 for for IN A33999 477 14 Southern Southern NNP A33999 477 15 Plains Plains NNPS A33999 477 16 the the DT A33999 477 17 second second JJ A33999 477 18 , , , A33999 477 19 because because IN A33999 477 20 the the DT A33999 477 21 distance distance NN A33999 477 22 of of IN A33999 477 23 the the DT A33999 477 24 Meridian Meridian NNP A33999 477 25 is be VBZ A33999 477 26 Calculated calculate VBN A33999 477 27 from from IN A33999 477 28 the the DT A33999 477 29 Substile Substile NNP A33999 477 30 supposed suppose VBN A33999 477 31 to to TO A33999 477 32 be be VB A33999 477 33 placed place VBN A33999 477 34 , , , A33999 477 35 and and CC A33999 477 36 here here RB A33999 477 37 the the DT A33999 477 38 work work NN A33999 477 39 is be VBZ A33999 477 40 converse converse JJ A33999 477 41 to to IN A33999 477 42 that that DT A33999 477 43 , , , A33999 477 44 for for IN A33999 477 45 in in IN A33999 477 46 that that DT A33999 477 47 we -PRON- PRP A33999 477 48 supposed suppose VBD A33999 477 49 the the DT A33999 477 50 Meridian Meridian NNP A33999 477 51 placed place VBD A33999 477 52 , , , A33999 477 53 and and CC A33999 477 54 not not RB A33999 477 55 the the DT A33999 477 56 Substile Substile NNP A33999 477 57 . . . A33999 478 1 For for IN A33999 478 2 the the DT A33999 478 3 Stiles Stiles NNP A33999 478 4 height height NN A33999 478 5 . . . A33999 479 1 As as IN A33999 479 2 the the DT A33999 479 3 Sine Sine NNP A33999 479 4 of of IN A33999 479 5 the the DT A33999 479 6 fourth fourth JJ A33999 479 7 Arch Arch NNP A33999 479 8 , , , A33999 479 9 Is be VBZ A33999 479 10 to to IN A33999 479 11 the the DT A33999 479 12 Sine Sine NNP A33999 479 13 of of IN A33999 479 14 the the DT A33999 479 15 seventh seventh JJ A33999 479 16 Arch Arch NNP A33999 479 17 , , , A33999 479 18 So so RB A33999 479 19 is be VBZ A33999 479 20 the the DT A33999 479 21 tangent tangent NN A33999 479 22 of of IN A33999 479 23 half half PDT A33999 479 24 the the DT A33999 479 25 difference difference NN A33999 479 26 of of IN A33999 479 27 the the DT A33999 479 28 complements complement NNS A33999 479 29 both both DT A33999 479 30 of of IN A33999 479 31 the the DT A33999 479 32 Latitude Latitude NNP A33999 479 33 and and CC A33999 479 34 Reclination Reclination NNP A33999 479 35 , , , A33999 479 36 To to IN A33999 479 37 the the DT A33999 479 38 tangent tangent NN A33999 479 39 of of IN A33999 479 40 an an DT A33999 479 41 Arch Arch NNP A33999 479 42 sought sought NN A33999 479 43 . . . A33999 480 1 How how WRB A33999 480 2 much much JJ A33999 480 3 the the DT A33999 480 4 said say VBD A33999 480 5 Ark Ark NNP A33999 480 6 being be VBG A33999 480 7 doubled double VBD A33999 480 8 wants want VBZ A33999 480 9 or or CC A33999 480 10 exceeds exceed VBZ A33999 480 11 90d 90d NNS A33999 480 12 , , , A33999 480 13 is be VBZ A33999 480 14 the the DT A33999 480 15 Stiles Stiles NNP A33999 480 16 height height NN A33999 480 17 . . . A33999 481 1 In in IN A33999 481 2 South South NNP A33999 481 3 Recliners Recliners NNPS A33999 481 4 , , , A33999 481 5 if if IN A33999 481 6 the the DT A33999 481 7 said say VBD A33999 481 8 Ark Ark NNP A33999 481 9 being be VBG A33999 481 10 doubled double VBN A33999 481 11 , , , A33999 481 12 is be VBZ A33999 481 13 less less JJR A33999 481 14 then then RB A33999 481 15 90d 90d CD A33999 481 16 , , , A33999 481 17 its -PRON- PRP$ A33999 481 18 complement complement NN A33999 481 19 is be VBZ A33999 481 20 the the DT A33999 481 21 elevation elevation NN A33999 481 22 of of IN A33999 481 23 the the DT A33999 481 24 North North NNP A33999 481 25 Pole Pole NNP A33999 481 26 , , , A33999 481 27 and and CC A33999 481 28 the the DT A33999 481 29 Plain Plain NNP A33999 481 30 falls fall VBZ A33999 481 31 below below IN A33999 481 32 the the DT A33999 481 33 Pole Pole NNP A33999 481 34 . . . A33999 482 1 But but CC A33999 482 2 if if IN A33999 482 3 the the DT A33999 482 4 said say VBD A33999 482 5 Arch Arch NNP A33999 482 6 exceed exceed VB A33999 482 7 90d 90d NNS A33999 482 8 the the DT A33999 482 9 Plain plain JJ A33999 482 10 passeth passeth NN A33999 482 11 above above IN A33999 482 12 the the DT A33999 482 13 Pole Pole NNP A33999 482 14 , , , A33999 482 15 and and CC A33999 482 16 the the DT A33999 482 17 excess excess NN A33999 482 18 is be VBZ A33999 482 19 the the DT A33999 482 20 elevation elevation NN A33999 482 21 of of IN A33999 482 22 the the DT A33999 482 23 North North NNP A33999 482 24 Pole Pole NNP A33999 482 25 on on IN A33999 482 26 the the DT A33999 482 27 under under JJ A33999 482 28 face face NN A33999 482 29 of of IN A33999 482 30 a a DT A33999 482 31 South South NNP A33999 482 32 Recliner Recliner NNP A33999 482 33 , , , A33999 482 34 called call VBD A33999 482 35 a a DT A33999 482 36 North North NNP A33999 482 37 Incliner Incliner NNP A33999 482 38 , , , A33999 482 39 and and CC A33999 482 40 the the DT A33999 482 41 affections affection NNS A33999 482 42 were be VBD A33999 482 43 determined determine VBN A33999 482 44 in in IN A33999 482 45 the the DT A33999 482 46 first first JJ A33999 482 47 method method NN A33999 482 48 where where WRB A33999 482 49 the the DT A33999 482 50 Declination Declination NNP A33999 482 51 hath hath NN A33999 482 52 its -PRON- PRP$ A33999 482 53 Denomination denomination NN A33999 482 54 from from IN A33999 482 55 that that DT A33999 482 56 Coast Coast NNP A33999 482 57 of of IN A33999 482 58 the the DT A33999 482 59 Meridian Meridian NNP A33999 482 60 to to TO A33999 482 61 which which WDT A33999 482 62 the the DT A33999 482 63 Plain plain JJ A33999 482 64 looketh looketh NN A33999 482 65 . . . A33999 483 1 These these DT A33999 483 2 methods method NNS A33999 483 3 of of IN A33999 483 4 Calculation Calculation NNP A33999 483 5 may may MD A33999 483 6 not not RB A33999 483 7 precisely precisely RB A33999 483 8 agree agree VB A33999 483 9 one one CD A33999 483 10 with with IN A33999 483 11 another another DT A33999 483 12 , , , A33999 483 13 though though RB A33999 483 14 all all RB A33999 483 15 true true JJ A33999 483 16 , , , A33999 483 17 unless unless IN A33999 483 18 the the DT A33999 483 19 parts part NNS A33999 483 20 Proportional Proportional NNP A33999 483 21 be be VB A33999 483 22 exactly exactly RB A33999 483 23 Calculated calculate VBN A33999 483 24 from from IN A33999 483 25 large large JJ A33999 483 26 Tables table NNS A33999 483 27 in in IN A33999 483 28 every every DT A33999 483 29 Operation operation NN A33999 483 30 , , , A33999 483 31 which which WDT A33999 483 32 to to TO A33999 483 33 do do VB A33999 483 34 as as IN A33999 483 35 to to IN A33999 483 36 the the DT A33999 483 37 Examples Examples NNPS A33999 483 38 in in IN A33999 483 39 this this DT A33999 483 40 Book Book NNP A33999 483 41 , , , A33999 483 42 my -PRON- PRP$ A33999 483 43 leisure leisure NN A33999 483 44 would would MD A33999 483 45 not not RB A33999 483 46 permit permit VB A33999 483 47 ; ; : A33999 483 48 This this DT A33999 483 49 last last JJ A33999 483 50 method method NN A33999 483 51 is be VBZ A33999 483 52 derived derive VBN A33999 483 53 also also RB A33999 483 54 from from IN A33999 483 55 the the DT A33999 483 56 former former JJ A33999 483 57 Oblique Oblique NNP A33999 483 58 Triangle Triangle NNP A33999 483 59 , , , A33999 483 60 the the DT A33999 483 61 Proportions Proportions NNP A33999 483 62 here here RB A33999 483 63 applyed apply VBD A33999 483 64 , , , A33999 483 65 being be VBG A33999 483 66 demonstrated demonstrate VBN A33999 483 67 in in IN A33999 483 68 Trigonometria Trigonometria NNP A33999 483 69 Brittanica Brittanica NNP A33999 483 70 by by IN A33999 483 71 Mr. Mr. NNP A33999 483 72 Newton Newton NNP A33999 483 73 . . . A33999 484 1 The the DT A33999 484 2 Demonstration Demonstration NNP A33999 484 3 of of IN A33999 484 4 the the DT A33999 484 5 former former JJ A33999 484 6 Proportions Proportions NNP A33999 484 7 In in IN A33999 484 8 projecting project VBG A33999 484 9 the the DT A33999 484 10 Sphere Sphere NNP A33999 484 11 , , , A33999 484 12 it -PRON- PRP A33999 484 13 is be VBZ A33999 484 14 frequently frequently RB A33999 484 15 required require VBN A33999 484 16 to to TO A33999 484 17 draw draw VB A33999 484 18 an an DT A33999 484 19 Arch Arch NNP A33999 484 20 through through IN A33999 484 21 any any DT A33999 484 22 two two CD A33999 484 23 different different JJ A33999 484 24 Points point NNS A33999 484 25 within within IN A33999 484 26 a a DT A33999 484 27 Circle Circle NNP A33999 484 28 , , , A33999 484 29 that that DT A33999 484 30 shall shall MD A33999 484 31 divide divide VB A33999 484 32 the the DT A33999 484 33 said say VBN A33999 484 34 Circle Circle NNP A33999 484 35 into into IN A33999 484 36 two two CD A33999 484 37 equal equal JJ A33999 484 38 Semicircles Semicircles NNP A33999 484 39 Construction Construction NNP A33999 484 40 . . . A33999 485 1 1 1 LS A33999 485 2 . . . A33999 486 1 Draw draw VB A33999 486 2 a a DT A33999 486 3 line line NN A33999 486 4 from from IN A33999 486 5 one one CD A33999 486 6 of of IN A33999 486 7 the the DT A33999 486 8 given give VBN A33999 486 9 points point NNS A33999 486 10 through through IN A33999 486 11 the the DT A33999 486 12 Center Center NNP A33999 486 13 , , , A33999 486 14 for for IN A33999 486 15 conveniency conveniency NN A33999 486 16 through through IN A33999 486 17 that that DT A33999 486 18 point point NN A33999 486 19 which which WDT A33999 486 20 is be VBZ A33999 486 21 most most RBS A33999 486 22 remote remote JJ A33999 486 23 . . . A33999 487 1 2 2 LS A33999 487 2 . . . A33999 488 1 From from IN A33999 488 2 the the DT A33999 488 3 Center Center NNP A33999 488 4 raise raise VB A33999 488 5 a a DT A33999 488 6 Radius Radius NNP A33999 488 7 perpendicular perpendicular JJ A33999 488 8 to to IN A33999 488 9 that that DT A33999 488 10 line line NN A33999 488 11 . . . A33999 489 1 3 3 LS A33999 489 2 . . . A33999 490 1 And and CC A33999 490 2 from from IN A33999 490 3 the the DT A33999 490 4 said say VBN A33999 490 5 point point NN A33999 490 6 draw draw VB A33999 490 7 a a DT A33999 490 8 line line NN A33999 490 9 to to IN A33999 490 10 the the DT A33999 490 11 end end NN A33999 490 12 of of IN A33999 490 13 the the DT A33999 490 14 Radius Radius NNP A33999 490 15 . . . A33999 491 1 4 4 LS A33999 491 2 . . . A33999 492 1 From from IN A33999 492 2 the the DT A33999 492 3 end end NN A33999 492 4 of of IN A33999 492 5 the the DT A33999 492 6 Radius Radius NNP A33999 492 7 raise raise VB A33999 492 8 a a DT A33999 492 9 line line NN A33999 492 10 perpendicular perpendicular JJ A33999 492 11 to to IN A33999 492 12 the the DT A33999 492 13 line line NN A33999 492 14 last last JJ A33999 492 15 drawn drawn NN A33999 492 16 , , , A33999 492 17 and and CC A33999 492 18 where where WRB A33999 492 19 it -PRON- PRP A33999 492 20 intersects intersect VBZ A33999 492 21 the the DT A33999 492 22 former former JJ A33999 492 23 line line NN A33999 492 24 drawn draw VBN A33999 492 25 through through IN A33999 492 26 the the DT A33999 492 27 first first JJ A33999 492 28 point point NN A33999 492 29 and and CC A33999 492 30 Center Center NNP A33999 492 31 , , , A33999 492 32 is be VBZ A33999 492 33 a a DT A33999 492 34 third third JJ A33999 492 35 point point NN A33999 492 36 given give VBN A33999 492 37 , , , A33999 492 38 describe describe VBP A33999 492 39 a a DT A33999 492 40 Circle Circle NNP A33999 492 41 through through IN A33999 492 42 these these DT A33999 492 43 three three CD A33999 492 44 Points Points NNPS A33999 492 45 , , , A33999 492 46 and and CC A33999 492 47 the the DT A33999 492 48 Proposition Proposition NNP A33999 492 49 will will MD A33999 492 50 be be VB A33999 492 51 effected effect VBN A33999 492 52 . . . A33999 493 1 Example example NN A33999 493 2 . . . A33999 494 1 Let let VB A33999 494 2 it -PRON- PRP A33999 494 3 be be VB A33999 494 4 required require VBN A33999 494 5 to to TO A33999 494 6 draw draw VB A33999 494 7 the the DT A33999 494 8 Arch Arch NNP A33999 494 9 of of IN A33999 494 10 a a DT A33999 494 11 Circle Circle NNP A33999 494 12 through through IN A33999 494 13 the the DT A33999 494 14 two two CD A33999 494 15 points point NNS A33999 494 16 E E NNP A33999 494 17 and and CC A33999 494 18 F f NN A33999 494 19 that that WDT A33999 494 20 shall shall MD A33999 494 21 divide divide VB A33999 494 22 the the DT A33999 494 23 Circle Circle NNP A33999 494 24 BD BD NNP A33999 494 25 into into IN A33999 494 26 two two CD A33999 494 27 equal equal JJ A33999 494 28 parts part NNS A33999 494 29 . . . A33999 495 1 Operation operation NN A33999 495 2 . . . A33999 496 1 From from IN A33999 496 2 E E NNP A33999 496 3 draw draw VB A33999 496 4 EG EG NNP A33999 496 5 , , , A33999 496 6 through through IN A33999 496 7 the the DT A33999 496 8 Center Center NNP A33999 496 9 A A NNP A33999 496 10 , , , A33999 496 11 make make VB A33999 496 12 AD ad NN A33999 496 13 perpendicular perpendicular JJ A33999 496 14 thereto thereto NN A33999 496 15 , , , A33999 496 16 joyn joyn NNP A33999 496 17 ED ED NNP A33999 496 18 , , , A33999 496 19 and and CC A33999 496 20 make make VB A33999 496 21 DG DG NNP A33999 496 22 , , , A33999 496 23 perpendicular perpendicular JJ A33999 496 24 to to IN A33999 496 25 ED ED NNP A33999 496 26 cutting cut VBG A33999 496 27 EG EG NNP A33999 496 28 in in IN A33999 496 29 G G NNP A33999 496 30 , , , A33999 496 31 through through IN A33999 496 32 E e NN A33999 496 33 , , , A33999 496 34 F F NNP A33999 496 35 , , , A33999 496 36 and and CC A33999 496 37 G g NN A33999 496 38 , , , A33999 496 39 draw draw VB A33999 496 40 the the DT A33999 496 41 Arch Arch NNP A33999 496 42 of of IN A33999 496 43 a a DT A33999 496 44 Circle Circle NNP A33999 496 45 which which WDT A33999 496 46 will will MD A33999 496 47 divide divide VB A33999 496 48 the the DT A33999 496 49 Circumference Circumference NNP A33999 496 50 BDC BDC NNP A33999 496 51 into into IN A33999 496 52 two two CD A33999 496 53 equal equal JJ A33999 496 54 parts part NNS A33999 496 55 in in IN A33999 496 56 B b NN A33999 496 57 and and CC A33999 496 58 C C NNP A33999 496 59 , , , A33999 496 60 that that RB A33999 496 61 is is RB A33999 496 62 , , , A33999 496 63 if if IN A33999 496 64 CA CA NNP A33999 496 65 be be VB A33999 496 66 drawn draw VBN A33999 496 67 , , , A33999 496 68 it -PRON- PRP A33999 496 69 will will MD A33999 496 70 pass pass VB A33999 496 71 through through RP A33999 496 72 B b NN A33999 496 73 , , , A33999 496 74 if if IN A33999 496 75 not not RB A33999 496 76 , , , A33999 496 77 let let VB A33999 496 78 it -PRON- PRP A33999 496 79 pass pass VB A33999 496 80 above above RB A33999 496 81 or or CC A33999 496 82 below below RB A33999 496 83 , , , A33999 496 84 as as IN A33999 496 85 let let VB A33999 496 86 it -PRON- PRP A33999 496 87 pass pass VB A33999 496 88 below below RB A33999 496 89 and and CC A33999 496 90 cut cut VBD A33999 496 91 BFE BFE NNP A33999 496 92 in in IN A33999 496 93 H. H. NNP A33999 496 94 Demonstration Demonstration NNP A33999 496 95 . . . A33999 497 1 By by IN A33999 497 2 construction construction NN A33999 497 3 EDG EDG NNP A33999 497 4 and and CC A33999 497 5 DAG DAG NNP A33999 497 6 are be VBP A33999 497 7 right right JJ A33999 497 8 Angles angle NNS A33999 497 9 ; ; : A33999 497 10 therefore therefore RB A33999 497 11 □ □ NFP A33999 497 12 AD ad NN A33999 497 13 = = SYM A33999 497 14 ▭ ▭ NNP A33999 497 15 EAG EAG NNP A33999 497 16 by by IN A33999 497 17 13 13 CD A33999 497 18 Prop Prop NNP A33999 497 19 . . . A33999 498 1 6 6 CD A33999 498 2 Euclid Euclid NNP A33999 498 3 . . . A33999 499 1 because because IN A33999 499 2 EDG EDG NNP A33999 499 3 being be VBG A33999 499 4 a a DT A33999 499 5 right right JJ A33999 499 6 Angle angle NN A33999 499 7 , , , A33999 499 8 AD ad NN A33999 499 9 is be VBZ A33999 499 10 a a DT A33999 499 11 mean mean NN A33999 499 12 Proportional Proportional NNP A33999 499 13 between between IN A33999 499 14 EA EA NNP A33999 499 15 and and CC A33999 499 16 AG AG NNP A33999 499 17 , , , A33999 499 18 but but CC A33999 499 19 ▭ ▭ NNP A33999 499 20 EAG EAG NNP A33999 499 21 should should MD A33999 499 22 be be VB A33999 499 23 = = NFP A33999 499 24 ▭ ▭ NNP A33999 499 25 CAH CAH NNP A33999 499 26 by by IN A33999 499 27 35 35 CD A33999 499 28 . . . A33999 500 1 Prop Prop NNP A33999 500 2 . . . A33999 501 1 of of IN A33999 501 2 3 3 CD A33999 501 3 Euclid Euclid NNP A33999 501 4 . . . A33999 502 1 therefore therefore RB A33999 502 2 ▭ ▭ NNP A33999 502 3 CAH CAH NNP A33999 502 4 = = SYM A33999 502 5 □ □ NFP A33999 502 6 AD ad NN A33999 502 7 . . . A33999 503 1 But but CC A33999 503 2 □ □ NFP A33999 503 3 AD ad NN A33999 503 4 = = NFP A33999 503 5 □ □ NFP A33999 503 6 AI ai NN A33999 503 7 that that WDT A33999 503 8 is is RB A33999 503 9 = = NFP A33999 503 10 ▭ ▭ NNP A33999 503 11 CAI CAI NNP A33999 503 12 , , , A33999 503 13 therefore therefore RB A33999 503 14 ▭ ▭ NNP A33999 503 15 CAH CAH NNP A33999 503 16 = = SYM A33999 503 17 ▭ ▭ NNP A33999 503 18 CAI CAI NNP A33999 503 19 which which WDT A33999 503 20 is be VBZ A33999 503 21 absurd absurd JJ A33999 503 22 , , , A33999 503 23 therefore therefore RB A33999 503 24 CI CI NNP A33999 503 25 can can MD A33999 503 26 not not RB A33999 503 27 pass pass VB A33999 503 28 below below IN A33999 503 29 B b NN A33999 503 30 , , , A33999 503 31 the the DT A33999 503 32 same same JJ A33999 503 33 absurdity absurdity NN A33999 503 34 will will MD A33999 503 35 follow follow VB A33999 503 36 if if IN A33999 503 37 it -PRON- PRP A33999 503 38 be be VB A33999 503 39 thought think VBN A33999 503 40 to to TO A33999 503 41 pass pass VB A33999 503 42 above above IN A33999 503 43 it -PRON- PRP A33999 503 44 , , , A33999 503 45 therefore therefore RB A33999 503 46 CA CA NNP A33999 503 47 produced produce VBN A33999 503 48 , , , A33999 503 49 will will MD A33999 503 50 fall fall VB A33999 503 51 in in IN A33999 503 52 the the DT A33999 503 53 point point NN A33999 503 54 B b NN A33999 503 55 , , , A33999 503 56 wherefore wherefore VBD A33999 503 57 BDC BDC NNP A33999 503 58 is be VBZ A33999 503 59 a a DT A33999 503 60 Semicircle Semicircle NNP A33999 503 61 , , , A33999 503 62 which which WDT A33999 503 63 was be VBD A33999 503 64 to to TO A33999 503 65 be be VB A33999 503 66 proved prove VBN A33999 503 67 : : : A33999 503 68 And and CC A33999 503 69 hereof hereof NNP A33999 503 70 I -PRON- PRP A33999 503 71 acknowledge acknowledge VBP A33999 503 72 I -PRON- PRP A33999 503 73 have have VBP A33999 503 74 seen see VBN A33999 503 75 a a DT A33999 503 76 Demonstration demonstration NN A33999 503 77 by by IN A33999 503 78 the the DT A33999 503 79 Learned learn VBN A33999 503 80 teacher teacher NN A33999 503 81 of of IN A33999 503 82 the the DT A33999 503 83 Mathematicks Mathematicks NNPS A33999 503 84 , , , A33999 503 85 Mr. Mr. NNP A33999 503 86 John John NNP A33999 503 87 Leak Leak NNP A33999 503 88 , , , A33999 503 89 to to IN A33999 503 90 this this DT A33999 503 91 effect effect NN A33999 503 92 . . . A33999 504 1 To to TO A33999 504 2 project project VB A33999 504 3 the the DT A33999 504 4 Sphere Sphere NNP A33999 504 5 and and CC A33999 504 6 measure measure VB A33999 504 7 off off RP A33999 504 8 the the DT A33999 504 9 Arks Arks NNP A33999 504 10 of of IN A33999 504 11 an an DT A33999 504 12 upright upright JJ A33999 504 13 Decliner Decliner NNP A33999 504 14 . . . A33999 505 1 Upon upon IN A33999 505 2 Z Z NNP A33999 505 3 as as IN A33999 505 4 a a DT A33999 505 5 Center Center NNP A33999 505 6 , , , A33999 505 7 describe describe VB A33999 505 8 the the DT A33999 505 9 Arch Arch NNP A33999 505 10 of of IN A33999 505 11 a a DT A33999 505 12 Circle Circle NNP A33999 505 13 , , , A33999 505 14 and and CC A33999 505 15 cross cross VB A33999 505 16 it -PRON- PRP A33999 505 17 with with IN A33999 505 18 two two CD A33999 505 19 Diameters diameter NNS A33999 505 20 at at IN A33999 505 21 right right JJ A33999 505 22 Angles angle NNS A33999 505 23 in in IN A33999 505 24 the the DT A33999 505 25 Center Center NNP A33999 505 26 , , , A33999 505 27 whereto whereto NN A33999 505 28 set set VBD A33999 505 29 NESW NESW NNP A33999 505 30 to to TO A33999 505 31 represent represent VB A33999 505 32 the the DT A33999 505 33 North North NNP A33999 505 34 , , , A33999 505 35 East East NNP A33999 505 36 , , , A33999 505 37 South South NNP A33999 505 38 and and CC A33999 505 39 West West NNP A33999 505 40 . . . A33999 506 1 Prick prick VB A33999 506 2 off off RP A33999 506 3 the the DT A33999 506 4 Latitude Latitude NNP A33999 506 5 from from IN A33999 506 6 N n CD A33999 506 7 to to IN A33999 506 8 L l NN A33999 506 9 , , , A33999 506 10 and and CC A33999 506 11 lay lie VBD A33999 506 12 a a DT A33999 506 13 Ruler ruler NN A33999 506 14 to to IN A33999 506 15 it -PRON- PRP A33999 506 16 from from IN A33999 506 17 E e NN A33999 506 18 , , , A33999 506 19 and and CC A33999 506 20 where where WRB A33999 506 21 it -PRON- PRP A33999 506 22 cuts cut VBZ A33999 506 23 NZ NZ NNP A33999 506 24 , , , A33999 506 25 set set VBN A33999 506 26 P p NN A33999 506 27 to to TO A33999 506 28 represent represent VB A33999 506 29 the the DT A33999 506 30 pole pole NN A33999 506 31 . . . A33999 507 1 Prick prick VB A33999 507 2 off off RP A33999 507 3 the the DT A33999 507 4 Declination declination NN A33999 507 5 of of IN A33999 507 6 the the DT A33999 507 7 plain plain NN A33999 507 8 from from IN A33999 507 9 E e NN A33999 507 10 to to IN A33999 507 11 A a NN A33999 507 12 , , , A33999 507 13 and and CC A33999 507 14 from from IN A33999 507 15 S s NN A33999 507 16 to to IN A33999 507 17 D d NN A33999 507 18 , , , A33999 507 19 and and CC A33999 507 20 draw draw VB A33999 507 21 the the DT A33999 507 22 Diameter Diameter NNP A33999 507 23 AZB AZB NNP A33999 507 24 , , , A33999 507 25 which which WDT A33999 507 26 represents represent VBZ A33999 507 27 the the DT A33999 507 28 plain plain JJ A33999 507 29 , , , A33999 507 30 and and CC A33999 507 31 DZC DZC NNP A33999 507 32 , , , A33999 507 33 which which WDT A33999 507 34 represents represent VBZ A33999 507 35 the the DT A33999 507 36 Poles Poles NNPS A33999 507 37 thereof thereof RB A33999 507 38 . . . A33999 508 1 Through through IN A33999 508 2 the the DT A33999 508 3 three three CD A33999 508 4 points point NNS A33999 508 5 CPD CPD NNP A33999 508 6 , , , A33999 508 7 draw draw VB A33999 508 8 the the DT A33999 508 9 Arch Arch NNP A33999 508 10 of of IN A33999 508 11 a a DT A33999 508 12 Circle Circle NNP A33999 508 13 , , , A33999 508 14 and and CC A33999 508 15 there there EX A33999 508 16 will will MD A33999 508 17 be be VB A33999 508 18 framed frame VBN A33999 508 19 aright aright NN A33999 508 20 Angled Angled NNP A33999 508 21 Triangle Triangle NNP A33999 508 22 ZHP ZHP NNP A33999 508 23 right right RB A33999 508 24 Angled angle VBD A33999 508 25 at at IN A33999 508 26 H h NN A33999 508 27 , , , A33999 508 28 in in IN A33999 508 29 which which WDT A33999 508 30 there there EX A33999 508 31 will will MD A33999 508 32 be be VB A33999 508 33 given give VBN A33999 508 34 the the DT A33999 508 35 side side NN A33999 508 36 ZP ZP NNP A33999 508 37 the the DT A33999 508 38 complement complement NN A33999 508 39 of of IN A33999 508 40 the the DT A33999 508 41 Latitude Latitude NNP A33999 508 42 , , , A33999 508 43 with with IN A33999 508 44 the the DT A33999 508 45 Angle Angle NNP A33999 508 46 PZH PZH NNP A33999 508 47 the the DT A33999 508 48 complement complement NN A33999 508 49 of of IN A33999 508 50 the the DT A33999 508 51 Declination Declination NNP A33999 508 52 . . . A33999 509 1 Whereby whereby WRB A33999 509 2 may may MD A33999 509 3 be be VB A33999 509 4 found find VBN A33999 509 5 the the DT A33999 509 6 Stiles Stiles NNP A33999 509 7 height height NN A33999 509 8 represented represent VBN A33999 509 9 by by IN A33999 509 10 the the DT A33999 509 11 side side NN A33999 509 12 PH PH NNP A33999 509 13 , , , A33999 509 14 the the DT A33999 509 15 Substiles Substiles NNP A33999 509 16 distance distance NN A33999 509 17 from from IN A33999 509 18 the the DT A33999 509 19 plains plain NNS A33999 509 20 perpendicular perpendicular JJ A33999 509 21 represented represent VBN A33999 509 22 by by IN A33999 509 23 ZH ZH NNP A33999 509 24 , , , A33999 509 25 and and CC A33999 509 26 the the DT A33999 509 27 Angle Angle NNP A33999 509 28 between between IN A33999 509 29 that that DT A33999 509 30 Meridian Meridian NNP A33999 509 31 which which WDT A33999 509 32 makes make VBZ A33999 509 33 right right JJ A33999 509 34 Angles angle NNS A33999 509 35 with with IN A33999 509 36 the the DT A33999 509 37 plain plain NN A33999 509 38 , , , A33999 509 39 and and CC A33999 509 40 the the DT A33999 509 41 Meridian Meridian NNP A33999 509 42 of of IN A33999 509 43 the the DT A33999 509 44 place place NN A33999 509 45 represented represent VBN A33999 509 46 by by IN A33999 509 47 the the DT A33999 509 48 Angle Angle NNP A33999 509 49 ZPH ZPH NNP A33999 509 50 , , , A33999 509 51 shewing shew VBG A33999 509 52 the the DT A33999 509 53 Arch Arch NNP A33999 509 54 of of IN A33999 509 55 Time Time NNP A33999 509 56 between between IN A33999 509 57 the the DT A33999 509 58 Substile Substile NNP A33999 509 59 and and CC A33999 509 60 meridian meridian NNP A33999 509 61 , , , A33999 509 62 called call VBD A33999 509 63 the the DT A33999 509 64 Inclination Inclination NNP A33999 509 65 of of IN A33999 509 66 Meridians Meridians NNPS A33999 509 67 , , , A33999 509 68 from from IN A33999 509 69 which which WDT A33999 509 70 Triangle Triangle NNP A33999 509 71 are be VBP A33999 509 72 educed educe VBN A33999 509 73 those those DT A33999 509 74 proportions proportion NNS A33999 509 75 delivered deliver VBN A33999 509 76 for for IN A33999 509 77 upright upright JJ A33999 509 78 Decliners Decliners NNPS A33999 509 79 . . . A33999 510 1 To to TO A33999 510 2 measure measure VB A33999 510 3 off off RP A33999 510 4 these these DT A33999 510 5 Arks Arks NNP A33999 510 6 . . . A33999 511 1 1 1 LS A33999 511 2 . . . A33999 512 1 The the DT A33999 512 2 Substile Substile NNP A33999 512 3 . . . A33999 513 1 A a DT A33999 513 2 Ruler ruler NN A33999 513 3 laid lay VBD A33999 513 4 from from IN A33999 513 5 D d NN A33999 513 6 to to IN A33999 513 7 H h NN A33999 513 8 , , , A33999 513 9 findes find VBZ A33999 513 10 the the DT A33999 513 11 point point NN A33999 513 12 F f NN A33999 513 13 in in IN A33999 513 14 the the DT A33999 513 15 Limbe Limbe NNP A33999 513 16 , , , A33999 513 17 and and CC A33999 513 18 the the DT A33999 513 19 Arch Arch NNP A33999 513 20 CF CF NNP A33999 513 21 is be VBZ A33999 513 22 the the DT A33999 513 23 measure measure NN A33999 513 24 of of IN A33999 513 25 the the DT A33999 513 26 Substiles Substiles NNP A33999 513 27 distance distance NN A33999 513 28 from from IN A33999 513 29 the the DT A33999 513 30 meridian meridian NNP A33999 513 31 , , , A33999 513 32 to to IN A33999 513 33 wit wit NN A33999 513 34 , , , A33999 513 35 21d 21d VBZ A33999 513 36 41′ 41′ NNS A33999 513 37 . . . A33999 514 1 2 2 LS A33999 514 2 . . . A33999 515 1 The the DT A33999 515 2 Stiles Stiles NNP A33999 515 3 height height NN A33999 515 4 . . . A33999 516 1 Set Set VBN A33999 516 2 off off RP A33999 516 3 a a DT A33999 516 4 Quadrant Quadrant NNP A33999 516 5 from from IN A33999 516 6 F f NN A33999 516 7 to to IN A33999 516 8 G G NNP A33999 516 9 , , , A33999 516 10 lay lie VBD A33999 516 11 a a DT A33999 516 12 Ruler ruler NN A33999 516 13 from from IN A33999 516 14 G g NN A33999 516 15 to to IN A33999 516 16 D d NN A33999 516 17 and and CC A33999 516 18 where where WRB A33999 516 19 it -PRON- PRP A33999 516 20 intersects intersect VBZ A33999 516 21 BZ BZ NNP A33999 516 22 , , , A33999 516 23 set set VBD A33999 516 24 ☉ ☉ NNS A33999 516 25 which which WDT A33999 516 26 is be VBZ A33999 516 27 the the DT A33999 516 28 Pole Pole NNP A33999 516 29 of of IN A33999 516 30 the the DT A33999 516 31 Circle Circle NNP A33999 516 32 CPD CPD NNP A33999 516 33 , , , A33999 516 34 lay lie VBD A33999 516 35 a a DT A33999 516 36 Ruler ruler NN A33999 516 37 from from IN A33999 516 38 ☉ ☉ NNS A33999 516 39 to to IN A33999 516 40 P p NN A33999 516 41 , , , A33999 516 42 and and CC A33999 516 43 it -PRON- PRP A33999 516 44 intersects intersect VBZ A33999 516 45 the the DT A33999 516 46 Limbe Limbe NNP A33999 516 47 at at IN A33999 516 48 I -PRON- PRP A33999 516 49 , , , A33999 516 50 so so RB A33999 516 51 is be VBZ A33999 516 52 the the DT A33999 516 53 Arch Arch NNP A33999 516 54 AI AI NNP A33999 516 55 the the DT A33999 516 56 measure measure NN A33999 516 57 of of IN A33999 516 58 the the DT A33999 516 59 Stiles Stiles NNP A33999 516 60 height height NN A33999 516 61 , , , A33999 516 62 to to IN A33999 516 63 wit wit NN A33999 516 64 , , , A33999 516 65 32d 32d CD A33999 516 66 32′ 32′ CD A33999 516 67 3 3 CD A33999 516 68 . . . A33999 517 1 Inclination Inclination NNP A33999 517 2 of of IN A33999 517 3 Meridian Meridian NNP A33999 517 4 . . . A33999 518 1 Lay Lay NNP A33999 518 2 a a DT A33999 518 3 Ruler ruler NN A33999 518 4 from from IN A33999 518 5 P p NN A33999 518 6 to to IN A33999 518 7 ☉ ☉ NNS A33999 518 8 , , , A33999 518 9 and and CC A33999 518 10 it -PRON- PRP A33999 518 11 intersects intersect VBZ A33999 518 12 the the DT A33999 518 13 Limbe Limbe NNP A33999 518 14 at at IN A33999 518 15 T t NN A33999 518 16 , , , A33999 518 17 and and CC A33999 518 18 A a DT A33999 518 19 South South NNP A33999 518 20 plaine plaine JJ A33999 518 21 Declin Declin NNP A33999 518 22 30d 30d NNP A33999 518 23 East East NNP A33999 518 24 Latitud Latitud NNP A33999 518 25 51d 51d NNPS A33999 518 26 32′ 32′ CD A33999 518 27 page page NN A33999 518 28 51 51 CD A33999 518 29 A a DT A33999 518 30 West West NNP A33999 518 31 plaine plaine NN A33999 518 32 Reclining reclining NN A33999 518 33 50d 50d NNS A33999 518 34 Latitude Latitude NNP A33999 518 35 51d 51d NNS A33999 518 36 32′ 32′ CD A33999 518 37 the the DT A33999 518 38 Arch Arch NNP A33999 518 39 WT WT NNP A33999 518 40 is be VBZ A33999 518 41 the the DT A33999 518 42 measure measure NN A33999 518 43 of of IN A33999 518 44 the the DT A33999 518 45 Inclination Inclination NNP A33999 518 46 of of IN A33999 518 47 meridians meridian NNS A33999 518 48 , , , A33999 518 49 to to IN A33999 518 50 wit wit NN A33999 518 51 , , , A33999 518 52 36d 36d CD A33999 518 53 25′ 25′ CD A33999 518 54 . . . A33999 519 1 4 4 LS A33999 519 2 . . . A33999 520 1 Angle Angle NNP A33999 520 2 of of IN A33999 520 3 12 12 CD A33999 520 4 and and CC A33999 520 5 6 6 CD A33999 520 6 . . . A33999 521 1 In in IN A33999 521 2 like like JJ A33999 521 3 manner manner NN A33999 521 4 we -PRON- PRP A33999 521 5 may may MD A33999 521 6 draw draw VB A33999 521 7 a a DT A33999 521 8 Circle Circle NNP A33999 521 9 passing pass VBG A33999 521 10 through through IN A33999 521 11 the the DT A33999 521 12 points point NNS A33999 521 13 WPE WPE NNP A33999 521 14 , , , A33999 521 15 as as IN A33999 521 16 the the DT A33999 521 17 prickt prickt NNS A33999 521 18 Arch Arch NNP A33999 521 19 PE PE NNP A33999 521 20 doth doth NN A33999 521 21 , , , A33999 521 22 then then RB A33999 521 23 in in IN A33999 521 24 the the DT A33999 521 25 Triangle Triangle NNP A33999 521 26 ZPQ ZPQ NNP A33999 521 27 right right RB A33999 521 28 Angled angle VBD A33999 521 29 at at IN A33999 521 30 P p NN A33999 521 31 , , , A33999 521 32 we -PRON- PRP A33999 521 33 have have VBP A33999 521 34 the the DT A33999 521 35 side side JJ A33999 521 36 ZP zp NN A33999 521 37 given give VBN A33999 521 38 , , , A33999 521 39 and and CC A33999 521 40 the the DT A33999 521 41 Angle Angle NNP A33999 521 42 PZQ PZQ NNP A33999 521 43 to to TO A33999 521 44 finde finde VB A33999 521 45 the the DT A33999 521 46 side side NN A33999 521 47 ZQ ZQ NNP A33999 521 48 , , , A33999 521 49 lay lie VBD A33999 521 50 a a DT A33999 521 51 Ruler ruler NN A33999 521 52 from from IN A33999 521 53 D d NN A33999 521 54 to to IN A33999 521 55 Q Q NNP A33999 521 56 , , , A33999 521 57 and and CC A33999 521 58 you -PRON- PRP A33999 521 59 will will MD A33999 521 60 finde finde VB A33999 521 61 a a DT A33999 521 62 Point point NN A33999 521 63 in in IN A33999 521 64 the the DT A33999 521 65 Limbe Limbe NNP A33999 521 66 , , , A33999 521 67 the the DT A33999 521 68 distance distance NN A33999 521 69 whereof whereof NNP A33999 521 70 from from IN A33999 521 71 C C NNP A33999 521 72 is be VBZ A33999 521 73 the the DT A33999 521 74 measure measure NN A33999 521 75 of of IN A33999 521 76 the the DT A33999 521 77 Arch Arch NNP A33999 521 78 sought seek VBN A33999 521 79 , , , A33999 521 80 to to IN A33999 521 81 wit wit NN A33999 521 82 , , , A33999 521 83 57d 57d NNS A33999 521 84 49′ 49′ CD A33999 521 85 , , , A33999 521 86 to to TO A33999 521 87 be be VB A33999 521 88 measured measure VBN A33999 521 89 by by IN A33999 521 90 projection projection NN A33999 521 91 as as IN A33999 521 92 the the DT A33999 521 93 Inclination Inclination NNP A33999 521 94 of of IN A33999 521 95 Meridians Meridians NNPS A33999 521 96 . . . A33999 522 1 Lastly lastly RB A33999 522 2 the the DT A33999 522 3 hour hour NN A33999 522 4 - - HYPH A33999 522 5 lines line NNS A33999 522 6 , , , A33999 522 7 these these DT A33999 522 8 are be VBP A33999 522 9 represented represent VBN A33999 522 10 by by IN A33999 522 11 meridians meridian NNS A33999 522 12 drawn draw VBN A33999 522 13 through through IN A33999 522 14 the the DT A33999 522 15 Poles Poles NNPS A33999 522 16 of of IN A33999 522 17 the the DT A33999 522 18 World World NNP A33999 522 19 , , , A33999 522 20 as as IN A33999 522 21 in in IN A33999 522 22 the the DT A33999 522 23 Triangle Triangle NNP A33999 522 24 HPQ HPQ NNP A33999 522 25 there there EX A33999 522 26 will will MD A33999 522 27 be be VB A33999 522 28 given give VBN A33999 522 29 the the DT A33999 522 30 Stiles Stiles NNP A33999 522 31 height height NN A33999 522 32 PH PH NNP A33999 522 33 , , , A33999 522 34 and and CC A33999 522 35 the the DT A33999 522 36 Angle Angle NNP A33999 522 37 HPQ HPQ NNP A33999 522 38 , , , A33999 522 39 to to IN A33999 522 40 wit wit NN A33999 522 41 , , , A33999 522 42 the the DT A33999 522 43 Ark Ark NNP A33999 522 44 of of IN A33999 522 45 difference difference NN A33999 522 46 between between IN A33999 522 47 the the DT A33999 522 48 Inclination Inclination NNP A33999 522 49 of of IN A33999 522 50 Meridians Meridians NNPS A33999 522 51 and and CC A33999 522 52 the the DT A33999 522 53 hour hour NN A33999 522 54 from from IN A33999 522 55 noon noon NN A33999 522 56 , , , A33999 522 57 for for IN A33999 522 58 all all DT A33999 522 59 hours hour NNS A33999 522 60 on on IN A33999 522 61 that that DT A33999 522 62 side side NN A33999 522 63 of of IN A33999 522 64 the the DT A33999 522 65 meridian meridian NN A33999 522 66 the the DT A33999 522 67 Substile Substile NNP A33999 522 68 falls fall NNS A33999 522 69 , , , A33999 522 70 but but CC A33999 522 71 on on IN A33999 522 72 the the DT A33999 522 73 other other JJ A33999 522 74 side side NN A33999 522 75 the the DT A33999 522 76 sum sum NN A33999 522 77 of of IN A33999 522 78 these these DT A33999 522 79 two two CD A33999 522 80 Arks Arks NNPS A33999 522 81 , , , A33999 522 82 and and CC A33999 522 83 this this DT A33999 522 84 Angle Angle NNP A33999 522 85 is be VBZ A33999 522 86 called call VBN A33999 522 87 the the DT A33999 522 88 Angle Angle NNP A33999 522 89 at at IN A33999 522 90 the the DT A33999 522 91 Pole Pole NNP A33999 522 92 ; ; : A33999 522 93 the the DT A33999 522 94 side side NN A33999 522 95 required require VBN A33999 522 96 is be VBZ A33999 522 97 HQ HQ NNP A33999 522 98 , , , A33999 522 99 the the DT A33999 522 100 distance distance NN A33999 522 101 between between IN A33999 522 102 the the DT A33999 522 103 Substile Substile NNP A33999 522 104 and and CC A33999 522 105 the the DT A33999 522 106 hour hour NN A33999 522 107 line line NN A33999 522 108 proposed propose VBN A33999 522 109 , , , A33999 522 110 which which WDT A33999 522 111 must must MD A33999 522 112 be be VB A33999 522 113 any any DT A33999 522 114 hour hour NN A33999 522 115 , , , A33999 522 116 though though IN A33999 522 117 in in IN A33999 522 118 this this DT A33999 522 119 Scheam Scheam NNP A33999 522 120 it -PRON- PRP A33999 522 121 represents represent VBZ A33999 522 122 the the DT A33999 522 123 horary horary JJ A33999 522 124 distance distance NN A33999 522 125 of of IN A33999 522 126 six six CD A33999 522 127 from from IN A33999 522 128 the the DT A33999 522 129 Substile Substile NNP A33999 522 130 . . . A33999 523 1 To to TO A33999 523 2 project project VB A33999 523 3 the the DT A33999 523 4 Sphere Sphere NNP A33999 523 5 for for IN A33999 523 6 an an DT A33999 523 7 East East NNP A33999 523 8 or or CC A33999 523 9 West West NNP A33999 523 10 Reclining Reclining NNP A33999 523 11 or or CC A33999 523 12 Inclining incline VBG A33999 523 13 Plain Plain NNP A33999 523 14 , , , A33999 523 15 Latitude Latitude NNP A33999 523 16 51 51 CD A33999 523 17 degrees degree NNS A33999 523 18 , , , A33999 523 19 32 32 CD A33999 523 20 minutes minute NNS A33999 523 21 , , , A33999 523 22 a a DT A33999 523 23 West West NNP A33999 523 24 Plain Plain NNP A33999 523 25 , , , A33999 523 26 Reclining recline VBG A33999 523 27 50 50 CD A33999 523 28 degrees degree NNS A33999 523 29 . . . A33999 524 1 Having have VBG A33999 524 2 drawn draw VBN A33999 524 3 the the DT A33999 524 4 Fundamental Fundamental NNP A33999 524 5 Scheam Scheam NNP A33999 524 6 , , , A33999 524 7 and and CC A33999 524 8 therein therein RB A33999 524 9 set set VBN A33999 524 10 off off RP A33999 524 11 the the DT A33999 524 12 Latitude Latitude NNP A33999 524 13 as as IN A33999 524 14 before before RB A33999 524 15 , , , A33999 524 16 count count VB A33999 524 17 the the DT A33999 524 18 Reclination reclination NN A33999 524 19 from from IN A33999 524 20 N n NN A33999 524 21 to to IN A33999 524 22 R r NN A33999 524 23 , , , A33999 524 24 and and CC A33999 524 25 by by IN A33999 524 26 laying lay VBG A33999 524 27 a a DT A33999 524 28 Ruler ruler NN A33999 524 29 , , , A33999 524 30 finde finde IN A33999 524 31 the the DT A33999 524 32 point point NN A33999 524 33 A A NNP A33999 524 34 , , , A33999 524 35 through through IN A33999 524 36 it -PRON- PRP A33999 524 37 and and CC A33999 524 38 the the DT A33999 524 39 North North NNP A33999 524 40 and and CC A33999 524 41 South South NNP A33999 524 42 points point NNS A33999 524 43 draw draw VBP A33999 524 44 the the DT A33999 524 45 Arch Arch NNP A33999 524 46 of of IN A33999 524 47 a a DT A33999 524 48 Circle Circle NNP A33999 524 49 which which WDT A33999 524 50 shall shall MD A33999 524 51 represent represent VB A33999 524 52 the the DT A33999 524 53 plain plain JJ A33999 524 54 , , , A33999 524 55 finde finde IN A33999 524 56 the the DT A33999 524 57 pole pole NN A33999 524 58 thereof thereof RB A33999 524 59 by by IN A33999 524 60 setting set VBG A33999 524 61 off off RP A33999 524 62 a a DT A33999 524 63 Quadrant Quadrant NNP A33999 524 64 from from IN A33999 524 65 R r NN A33999 524 66 to to IN A33999 524 67 G g NN A33999 524 68 , , , A33999 524 69 then then RB A33999 524 70 through through IN A33999 524 71 the the DT A33999 524 72 pole pole NN A33999 524 73 of of IN A33999 524 74 that that DT A33999 524 75 Circle Circle NNP A33999 524 76 ☉ ☉ NNP A33999 524 77 , , , A33999 524 78 and and CC A33999 524 79 the the DT A33999 524 80 pole pole NN A33999 524 81 of of IN A33999 524 82 the the DT A33999 524 83 World World NNP A33999 524 84 P P NNP A33999 524 85 , , , A33999 524 86 draw draw VB A33999 524 87 the the DT A33999 524 88 Arch Arch NNP A33999 524 89 ☉ ☉ NNP A33999 524 90 PR PR NNP A33999 524 91 , , , A33999 524 92 then then RB A33999 524 93 in in IN A33999 524 94 the the DT A33999 524 95 Triangle Triangle NNP A33999 524 96 NHP NHP NNP A33999 524 97 right right RB A33999 524 98 angled angle VBD A33999 524 99 at at IN A33999 524 100 H h NN A33999 524 101 , , , A33999 524 102 we -PRON- PRP A33999 524 103 have have VBP A33999 524 104 given give VBN A33999 524 105 the the DT A33999 524 106 side side NN A33999 524 107 NP NP NNP A33999 524 108 the the DT A33999 524 109 Latitude Latitude NNP A33999 524 110 , , , A33999 524 111 and and CC A33999 524 112 the the DT A33999 524 113 Angle Angle NNP A33999 524 114 PNH PNH NNP A33999 524 115 the the DT A33999 524 116 Reclination reclination NN A33999 524 117 , , , A33999 524 118 to to TO A33999 524 119 finde finde VB A33999 524 120 PH PH NNP A33999 524 121 the the DT A33999 524 122 Stiles Stiles NNP A33999 524 123 height height NN A33999 524 124 , , , A33999 524 125 and and CC A33999 524 126 NH NH NNP A33999 524 127 the the DT A33999 524 128 Substiles Substiles NNP A33999 524 129 distance distance NN A33999 524 130 from from IN A33999 524 131 the the DT A33999 524 132 Meridian Meridian NNP A33999 524 133 , , , A33999 524 134 and and CC A33999 524 135 the the DT A33999 524 136 Angle Angle NNP A33999 524 137 NPH NPH NNP A33999 524 138 the the DT A33999 524 139 Inclination Inclination NNP A33999 524 140 of of IN A33999 524 141 Meridians Meridians NNPS A33999 524 142 , , , A33999 524 143 which which WDT A33999 524 144 is be VBZ A33999 524 145 also also RB A33999 524 146 represented represent VBN A33999 524 147 by by IN A33999 524 148 the the DT A33999 524 149 Angle Angle NNP A33999 524 150 BPS BPS NNP A33999 524 151 . . . A33999 525 1 1 1 LS A33999 525 2 . . . A33999 526 1 To to TO A33999 526 2 measure measure VB A33999 526 3 the the DT A33999 526 4 stiles stile NNS A33999 526 5 height height NN A33999 526 6 . . . A33999 527 1 Set Set VBN A33999 527 2 off off RP A33999 527 3 a a DT A33999 527 4 Quadrant quadrant NN A33999 527 5 from from IN A33999 527 6 B b NN A33999 527 7 to to IN A33999 527 8 C c NN A33999 527 9 , , , A33999 527 10 and and CC A33999 527 11 draw draw VB A33999 527 12 a a DT A33999 527 13 Line line NN A33999 527 14 through through IN A33999 527 15 the the DT A33999 527 16 Center Center NNP A33999 527 17 , , , A33999 527 18 and and CC A33999 527 19 where where WRB A33999 527 20 it -PRON- PRP A33999 527 21 intersects intersect VBZ A33999 527 22 the the DT A33999 527 23 plain plain NN A33999 527 24 at at IN A33999 527 25 F F NNP A33999 527 26 , , , A33999 527 27 is be VBZ A33999 527 28 the the DT A33999 527 29 Pole Pole NNP A33999 527 30 of of IN A33999 527 31 the the DT A33999 527 32 plains plains NNPS A33999 527 33 Meridian Meridian NNP A33999 527 34 , , , A33999 527 35 lay lie VBD A33999 527 36 a a DT A33999 527 37 Ruler ruler NN A33999 527 38 from from IN A33999 527 39 F F NNP A33999 527 40 to to IN A33999 527 41 H H NNP A33999 527 42 , , , A33999 527 43 and and CC A33999 527 44 it -PRON- PRP A33999 527 45 cuts cut VBZ A33999 527 46 the the DT A33999 527 47 Limbe Limbe NNP A33999 527 48 at at IN A33999 527 49 I. i. NN A33999 528 1 Also also RB A33999 528 2 lay lay VB A33999 528 3 it -PRON- PRP A33999 528 4 thence thence NN A33999 528 5 to to IN A33999 528 6 P p NN A33999 528 7 , , , A33999 528 8 and and CC A33999 528 9 it -PRON- PRP A33999 528 10 cuts cut VBZ A33999 528 11 the the DT A33999 528 12 Limbe Limbe NNP A33999 528 13 at at IN A33999 528 14 K K NNP A33999 528 15 , , , A33999 528 16 the the DT A33999 528 17 Arch Arch NNP A33999 528 18 IK IK NNP A33999 528 19 is be VBZ A33999 528 20 the the DT A33999 528 21 measure measure NN A33999 528 22 of of IN A33999 528 23 the the DT A33999 528 24 Stiles Stiles NNP A33999 528 25 height height NN A33999 528 26 , , , A33999 528 27 to to IN A33999 528 28 wit wit NN A33999 528 29 , , , A33999 528 30 36d 36d NNS A33999 528 31 50′ 50′ CD A33999 528 32 2 2 CD A33999 528 33 . . . A33999 529 1 The the DT A33999 529 2 Substile Substile NNP A33999 529 3 . . . A33999 530 1 A a DT A33999 530 2 Ruler ruler NN A33999 530 3 laid lay VBD A33999 530 4 from from IN A33999 530 5 ☉ ☉ NNS A33999 530 6 to to IN A33999 530 7 H h NN A33999 530 8 , , , A33999 530 9 cuts cut VBZ A33999 530 10 the the DT A33999 530 11 Limbe Limbe NNP A33999 530 12 at at IN A33999 530 13 M M NNP A33999 530 14 , , , A33999 530 15 and and CC A33999 530 16 the the DT A33999 530 17 Arch Arch NNP A33999 530 18 NM NM NNP A33999 530 19 is be VBZ A33999 530 20 the the DT A33999 530 21 measure measure NN A33999 530 22 of of IN A33999 530 23 the the DT A33999 530 24 Substiles Substiles NNP A33999 530 25 distance distance NN A33999 530 26 from from IN A33999 530 27 the the DT A33999 530 28 Meridian Meridian NNP A33999 530 29 , , , A33999 530 30 to to IN A33999 530 31 wit wit NN A33999 530 32 , , , A33999 530 33 38d 38d CD A33999 530 34 59′ 59′ CD A33999 530 35 . . . A33999 531 1 3 3 LS A33999 531 2 . . . A33999 532 1 The the DT A33999 532 2 Inclination Inclination NNP A33999 532 3 of of IN A33999 532 4 Meridians Meridians NNPS A33999 532 5 . . . A33999 533 1 Set Set VBN A33999 533 2 off off RP A33999 533 3 a a DT A33999 533 4 Quadrant Quadrant NNP A33999 533 5 from from IN A33999 533 6 K k NN A33999 533 7 to to IN A33999 533 8 O o NN A33999 533 9 , , , A33999 533 10 and and CC A33999 533 11 lay lie VBD A33999 533 12 a a DT A33999 533 13 Ruler ruler NN A33999 533 14 from from IN A33999 533 15 it -PRON- PRP A33999 533 16 to to IN A33999 533 17 F F NNP A33999 533 18 , , , A33999 533 19 and and CC A33999 533 20 it -PRON- PRP A33999 533 21 intersects intersect VBZ A33999 533 22 the the DT A33999 533 23 Meridian Meridian NNP A33999 533 24 of of IN A33999 533 25 the the DT A33999 533 26 plain plain NN A33999 533 27 at at IN A33999 533 28 Q Q NNP A33999 533 29 , , , A33999 533 30 then then RB A33999 533 31 a a DT A33999 533 32 Ruler ruler NN A33999 533 33 laid lay VBN A33999 533 34 from from IN A33999 533 35 P p NN A33999 533 36 to to IN A33999 533 37 Q Q NNP A33999 533 38 , , , A33999 533 39 findes find VBZ A33999 533 40 the the DT A33999 533 41 point point NN A33999 533 42 T t NN A33999 533 43 in in IN A33999 533 44 the the DT A33999 533 45 Limbe Limbe NNP A33999 533 46 , , , A33999 533 47 and and CC A33999 533 48 the the DT A33999 533 49 Arch Arch NNP A33999 533 50 ST ST NNP A33999 533 51 is be VBZ A33999 533 52 the the DT A33999 533 53 measure measure NN A33999 533 54 of of IN A33999 533 55 the the DT A33999 533 56 Inclination Inclination NNP A33999 533 57 of of IN A33999 533 58 Meridians Meridians NNPS A33999 533 59 , , , A33999 533 60 to to IN A33999 533 61 wit wit NN A33999 533 62 , , , A33999 533 63 53d 53d CD A33999 533 64 26′ 26′ CD A33999 533 65 . . . A33999 534 1 Otherwise otherwise RB A33999 534 2 with with IN A33999 534 3 less less JJR A33999 534 4 trouble trouble NN A33999 534 5 lay lay VB A33999 534 6 a a DT A33999 534 7 Ruler ruler NN A33999 534 8 from from IN A33999 534 9 P p NN A33999 534 10 to to IN A33999 534 11 F F NNP A33999 534 12 , , , A33999 534 13 and and CC A33999 534 14 it -PRON- PRP A33999 534 15 intersects intersect VBZ A33999 534 16 the the DT A33999 534 17 Limbe Limbe NNP A33999 534 18 at at IN A33999 534 19 V v NN A33999 534 20 , , , A33999 534 21 and and CC A33999 534 22 the the DT A33999 534 23 Arch Arch NNP A33999 534 24 EV EV NNP A33999 534 25 is be VBZ A33999 534 26 the the DT A33999 534 27 measure measure NN A33999 534 28 of of IN A33999 534 29 the the DT A33999 534 30 Inclination Inclination NNP A33999 534 31 of of IN A33999 534 32 Meridians Meridians NNPS A33999 534 33 , , , A33999 534 34 as as IN A33999 534 35 before before RB A33999 534 36 . . . A33999 535 1 To to TO A33999 535 2 project project VB A33999 535 3 the the DT A33999 535 4 Sphere Sphere NNP A33999 535 5 to to TO A33999 535 6 represent represent VB A33999 535 7 a a DT A33999 535 8 Declining Declining NNP A33999 535 9 Reclining recline VBG A33999 535 10 Plain Plain NNP A33999 535 11 . . . A33999 536 1 A a DT A33999 536 2 South South NNP A33999 536 3 Plain Plain NNP A33999 536 4 Declining Declining NNP A33999 536 5 40 40 CD A33999 536 6 degrees degree NNS A33999 536 7 East East NNP A33999 536 8 , , , A33999 536 9 Reclining recline VBG A33999 536 10 60 60 CD A33999 536 11 degrees degree NNS A33999 536 12 , , , A33999 536 13 Latitude Latitude NNP A33999 536 14 51 51 CD A33999 536 15 degrees degree NNS A33999 536 16 , , , A33999 536 17 32 32 CD A33999 536 18 minutes minute NNS A33999 536 19 . . . A33999 537 1 Having have VBG A33999 537 2 drawn draw VBN A33999 537 3 the the DT A33999 537 4 fundamental fundamental JJ A33999 537 5 Circle Circle NNP A33999 537 6 , , , A33999 537 7 prickt prickt NNS A33999 537 8 off off IN A33999 537 9 the the DT A33999 537 10 Declination declination NN A33999 537 11 , , , A33999 537 12 and and CC A33999 537 13 found find VBD A33999 537 14 the the DT A33999 537 15 pole pole NN A33999 537 16 point point NN A33999 537 17 as as IN A33999 537 18 before before RB A33999 537 19 , , , A33999 537 20 prick prick VB A33999 537 21 the the DT A33999 537 22 Reclination reclination NN A33999 537 23 from from IN A33999 537 24 B b NN A33999 537 25 to to IN A33999 537 26 I -PRON- PRP A33999 537 27 , , , A33999 537 28 and and CC A33999 537 29 laying lay VBG A33999 537 30 a a DT A33999 537 31 Ruler ruler NN A33999 537 32 to to IN A33999 537 33 it -PRON- PRP A33999 537 34 from from IN A33999 537 35 A a DT A33999 537 36 , , , A33999 537 37 finde finde IN A33999 537 38 the the DT A33999 537 39 point point NN A33999 537 40 R r NN A33999 537 41 , , , A33999 537 42 and and CC A33999 537 43 through through IN A33999 537 44 the the DT A33999 537 45 three three CD A33999 537 46 points point NNS A33999 537 47 BRA BRA NNP A33999 537 48 describe describe VBP A33999 537 49 a a DT A33999 537 50 Circle Circle NNP A33999 537 51 , , , A33999 537 52 representing represent VBG A33999 537 53 the the DT A33999 537 54 plain plain NN A33999 537 55 , , , A33999 537 56 also also RB A33999 537 57 from from IN A33999 537 58 K K NNP A33999 537 59 finde finde NNP A33999 537 60 the the DT A33999 537 61 pole pole NN A33999 537 62 thereof thereof IN A33999 537 63 ☉ ☉ NNPS A33999 537 64 , , , A33999 537 65 and and CC A33999 537 66 through through IN A33999 537 67 the the DT A33999 537 68 two two CD A33999 537 69 points point NNS A33999 537 70 P P NNP A33999 537 71 and and CC A33999 537 72 ☉ ☉ NNPS A33999 537 73 draw draw VBP A33999 537 74 the the DT A33999 537 75 Arch Arch NNP A33999 537 76 of of IN A33999 537 77 a a DT A33999 537 78 Circle Circle NNP A33999 537 79 FG FG NNP A33999 537 80 , , , A33999 537 81 representing represent VBG A33999 537 82 the the DT A33999 537 83 plains plain NNS A33999 537 84 Meridian Meridian NNP A33999 537 85 , , , A33999 537 86 at at IN A33999 537 87 the the DT A33999 537 88 intersection intersection NN A33999 537 89 of of IN A33999 537 90 the the DT A33999 537 91 plain plain NN A33999 537 92 with with IN A33999 537 93 the the DT A33999 537 94 Meridian Meridian NNP A33999 537 95 set set NN A33999 537 96 Z z NN A33999 537 97 , , , A33999 537 98 and and CC A33999 537 99 draw draw VB A33999 537 100 the the DT A33999 537 101 Arch Arch NNP A33999 537 102 of of IN A33999 537 103 a a DT A33999 537 104 polar polar JJ A33999 537 105 plain plain NN A33999 537 106 through through IN A33999 537 107 P p NN A33999 537 108 to to IN A33999 537 109 S S NNP A33999 537 110 , , , A33999 537 111 and and CC A33999 537 112 there there EX A33999 537 113 will will MD A33999 537 114 be be VB A33999 537 115 several several JJ A33999 537 116 Triangles triangle NNS A33999 537 117 Constituted constitute VBN A33999 537 118 , , , A33999 537 119 from from IN A33999 537 120 which which WDT A33999 537 121 were be VBD A33999 537 122 derived derive VBN A33999 537 123 the the DT A33999 537 124 several several JJ A33999 537 125 Methods Methods NNPS A33999 537 126 of of IN A33999 537 127 Calculation Calculation NNP A33999 537 128 . . . A33999 538 1 In in IN A33999 538 2 the the DT A33999 538 3 right right NN A33999 538 4 Angled Angled NNP A33999 538 5 Triangle Triangle NNP A33999 538 6 ANZ ANZ NNP A33999 538 7 there there EX A33999 538 8 is be VBZ A33999 538 9 given give VBN A33999 538 10 NA NA NNP A33999 538 11 the the DT A33999 538 12 complement complement NN A33999 538 13 of of IN A33999 538 14 the the DT A33999 538 15 Declination Declination NNP A33999 538 16 , , , A33999 538 17 and and CC A33999 538 18 the the DT A33999 538 19 Angle Angle NNP A33999 538 20 NAZ NAZ NNP A33999 538 21 the the DT A33999 538 22 complement complement NN A33999 538 23 of of IN A33999 538 24 the the DT A33999 538 25 Reclination Reclination NNP A33999 538 26 , , , A33999 538 27 whereby whereby WRB A33999 538 28 may may MD A33999 538 29 be be VB A33999 538 30 found find VBN A33999 538 31 ZN ZN NNP A33999 538 32 the the DT A33999 538 33 plains plain NNS A33999 538 34 meridional meridional JJ A33999 538 35 Ark Ark NNP A33999 538 36 , , , A33999 538 37 which which WDT A33999 538 38 taken take VBN A33999 538 39 from from IN A33999 538 40 NP NP NNP A33999 538 41 rests rest VBZ A33999 538 42 ZP ZP NNP A33999 538 43 the the DT A33999 538 44 complement complement NN A33999 538 45 of of IN A33999 538 46 the the DT A33999 538 47 new new JJ A33999 538 48 Latitude Latitude NNP A33999 538 49 ; ; : A33999 538 50 also also RB A33999 538 51 the the DT A33999 538 52 Angle Angle NNP A33999 538 53 NZA NZA NNP A33999 538 54 which which WDT A33999 538 55 is be VBZ A33999 538 56 the the DT A33999 538 57 complement complement NN A33999 538 58 of of IN A33999 538 59 the the DT A33999 538 60 new new JJ A33999 538 61 Declination Declination NNP A33999 538 62 , , , A33999 538 63 and and CC A33999 538 64 hence hence RB A33999 538 65 were be VBD A33999 538 66 derived derive VBN A33999 538 67 the the DT A33999 538 68 Proportions Proportions NNPS A33999 538 69 for for IN A33999 538 70 the the DT A33999 538 71 third third JJ A33999 538 72 Method Method NNP A33999 538 73 , , , A33999 538 74 likewise likewise RB A33999 538 75 in in IN A33999 538 76 the the DT A33999 538 77 same same JJ A33999 538 78 Triangle Triangle NNP A33999 538 79 may may MD A33999 538 80 be be VB A33999 538 81 found find VBN A33999 538 82 ZA ZA NNP A33999 538 83 the the DT A33999 538 84 meridians meridian NNS A33999 538 85 distance distance NN A33999 538 86 from from IN A33999 538 87 the the DT A33999 538 88 Horizon Horizon NNP A33999 538 89 . . . A33999 539 1 In in IN A33999 539 2 the the DT A33999 539 3 Oblique Oblique NNP A33999 539 4 Angled Angled NNP A33999 539 5 Triangle Triangle NNP A33999 539 6 CP CP NNP A33999 539 7 ☉ ☉ NNP A33999 539 8 , , , A33999 539 9 there there EX A33999 539 10 is be VBZ A33999 539 11 given give VBN A33999 539 12 the the DT A33999 539 13 side side NN A33999 539 14 CP CP NNP A33999 539 15 , , , A33999 539 16 the the DT A33999 539 17 complement complement NN A33999 539 18 of of IN A33999 539 19 the the DT A33999 539 20 Latitude Latitude NNP A33999 539 21 , , , A33999 539 22 the the DT A33999 539 23 side side NN A33999 539 24 C C NNP A33999 539 25 ☉ ☉ NNP A33999 539 26 , , , A33999 539 27 the the DT A33999 539 28 complement complement NN A33999 539 29 of of IN A33999 539 30 the the DT A33999 539 31 Reclination Reclination NNP A33999 539 32 with with IN A33999 539 33 the the DT A33999 539 34 Angle Angle NNP A33999 539 35 PC pc NN A33999 539 36 ☉ ☉ NNPS A33999 539 37 , , , A33999 539 38 the the DT A33999 539 39 complement complement NN A33999 539 40 of of IN A33999 539 41 the the DT A33999 539 42 Declination Declination NNP A33999 539 43 from from IN A33999 539 44 the the DT A33999 539 45 South South NNP A33999 539 46 to to IN A33999 539 47 a a DT A33999 539 48 Semicircle Semicircle NNP A33999 539 49 , , , A33999 539 50 whereby whereby WRB A33999 539 51 may may MD A33999 539 52 be be VB A33999 539 53 found find VBN A33999 539 54 the the DT A33999 539 55 Angle Angle NNP A33999 539 56 CP CP NNP A33999 539 57 ☉ ☉ NNP A33999 539 58 , , , A33999 539 59 the the DT A33999 539 60 Inclination Inclination NNP A33999 539 61 of of IN A33999 539 62 Meridians Meridians NNPS A33999 539 63 , , , A33999 539 64 and and CC A33999 539 65 the the DT A33999 539 66 Angle Angle NNP A33999 539 67 C C NNP A33999 539 68 ☉ ☉ NNP A33999 539 69 P p NN A33999 539 70 whereof whereof IN A33999 539 71 the the DT A33999 539 72 measure measure NN A33999 539 73 is be VBZ A33999 539 74 RH RH NNP A33999 539 75 the the DT A33999 539 76 distance distance NN A33999 539 77 , , , A33999 539 78 of of IN A33999 539 79 the the DT A33999 539 80 Substile Substile NNP A33999 539 81 from from IN A33999 539 82 the the DT A33999 539 83 Plains Plains NNPS A33999 539 84 perpendicular perpendicular NN A33999 539 85 , , , A33999 539 86 and and CC A33999 539 87 the the DT A33999 539 88 third third JJ A33999 539 89 side side NN A33999 539 90 P P NNP A33999 539 91 ☉ ☉ NNS A33999 539 92 , , , A33999 539 93 the the DT A33999 539 94 complement complement NN A33999 539 95 whereof whereof NNP A33999 539 96 is be VBZ A33999 539 97 PH PH NNP A33999 539 98 the the DT A33999 539 99 Stiles Stiles NNP A33999 539 100 height height NN A33999 539 101 , , , A33999 539 102 and and CC A33999 539 103 from from IN A33999 539 104 hence hence RB A33999 539 105 was be VBD A33999 539 106 derived derive VBN A33999 539 107 the the DT A33999 539 108 third third JJ A33999 539 109 method method NN A33999 539 110 of of IN A33999 539 111 Calculation Calculation NNP A33999 539 112 suited suit VBN A33999 539 113 to to IN A33999 539 114 Proportions Proportions NNP A33999 539 115 for for IN A33999 539 116 finding find VBG A33999 539 117 both both CC A33999 539 118 the the DT A33999 539 119 unknown unknown JJ A33999 539 120 Angles angle NNS A33999 539 121 of of IN A33999 539 122 an an DT A33999 539 123 Oblique Oblique NNP A33999 539 124 Spherical Spherical NNP A33999 539 125 Triangle Triangle NNP A33999 539 126 at at IN A33999 539 127 two two CD A33999 539 128 Operations Operations NNPS A33999 539 129 , , , A33999 539 130 when when WRB A33999 539 131 there there EX A33999 539 132 is be VBZ A33999 539 133 given give VBN A33999 539 134 two two CD A33999 539 135 sides side NNS A33999 539 136 with with IN A33999 539 137 the the DT A33999 539 138 Angle Angle NNP A33999 539 139 comprehended comprehend VBN A33999 539 140 between between IN A33999 539 141 them -PRON- PRP A33999 539 142 . . . A33999 540 1 The the DT A33999 540 2 first first JJ A33999 540 3 method method NN A33999 540 4 of of IN A33999 540 5 Calculation Calculation NNP A33999 540 6 is be VBZ A33999 540 7 built build VBN A33999 540 8 upon upon IN A33999 540 9 the the DT A33999 540 10 perpendicular perpendicular JJ A33999 540 11 Trigonometrie Trigonometrie NNP A33999 540 12 , , , A33999 540 13 for for IN A33999 540 14 the the DT A33999 540 15 perpendicular perpendicular JJ A33999 540 16 PS PS NNP A33999 540 17 reduceth reduceth NNP A33999 540 18 the the DT A33999 540 19 former former JJ A33999 540 20 Oblique Oblique NNP A33999 540 21 Triangle Triangle NNP A33999 540 22 , , , A33999 540 23 to to IN A33999 540 24 two two CD A33999 540 25 right right NN A33999 540 26 Angled Angled NNP A33999 540 27 Triangles Triangles NNPS A33999 540 28 , , , A33999 540 29 to to IN A33999 540 30 wit wit NN A33999 540 31 , , , A33999 540 32 the the DT A33999 540 33 right right JJ A33999 540 34 Angled Angled NNP A33999 540 35 Triangle Triangle NNP A33999 540 36 , , , A33999 540 37 PSC PSC NNP A33999 540 38 , , , A33999 540 39 and and CC A33999 540 40 the the DT A33999 540 41 right right JJ A33999 540 42 Angled Angled NNP A33999 540 43 Triangle Triangle NNP A33999 540 44 PS PS NNP A33999 540 45 ☉ ☉ NNP A33999 540 46 , , , A33999 540 47 both both CC A33999 540 48 right right RB A33999 540 49 Angled angle VBD A33999 540 50 at at IN A33999 540 51 S. S. NNP A33999 540 52 In in IN A33999 540 53 the the DT A33999 540 54 right right NN A33999 540 55 Angled Angled NNP A33999 540 56 Triangle Triangle NNP A33999 540 57 PSC PSC NNP A33999 540 58 , , , A33999 540 59 we -PRON- PRP A33999 540 60 have have VBP A33999 540 61 CP CP NNP A33999 540 62 given give VBN A33999 540 63 the the DT A33999 540 64 Colatitude Colatitude NNP A33999 540 65 , , , A33999 540 66 and and CC A33999 540 67 the the DT A33999 540 68 Angle Angle NNP A33999 540 69 PCS PCS NNP A33999 540 70 the the DT A33999 540 71 Declination declination NN A33999 540 72 to to TO A33999 540 73 finde finde NN A33999 540 74 SC SC NNP A33999 540 75 a a DT A33999 540 76 Polar Polar NNP A33999 540 77 plains plain NNS A33999 540 78 Reclination Reclination NNP A33999 540 79 thereto thereto NN A33999 540 80 . . . A33999 541 1 Again again RB A33999 541 2 , , , A33999 541 3 In in IN A33999 541 4 Oblique Oblique NNP A33999 541 5 Spherical Spherical NNP A33999 541 6 Triangles Triangles NNPS A33999 541 7 , , , A33999 541 8 reduced reduce VBN A33999 541 9 to to IN A33999 541 10 two two CD A33999 541 11 right right NN A33999 541 12 Angled Angled NNP A33999 541 13 Triangles Triangles NNPS A33999 541 14 by by IN A33999 541 15 the the DT A33999 541 16 demission demission NN A33999 541 17 of of IN A33999 541 18 a a DT A33999 541 19 perpendicular perpendicular NN A33999 541 20 , , , A33999 541 21 it -PRON- PRP A33999 541 22 is be VBZ A33999 541 23 a a DT A33999 541 24 common common JJ A33999 541 25 inference inference NN A33999 541 26 in in IN A33999 541 27 every every DT A33999 541 28 book book NN A33999 541 29 of of IN A33999 541 30 Trigonometry Trigonometry NNP A33999 541 31 , , , A33999 541 32 when when WRB A33999 541 33 two two CD A33999 541 34 sides side NNS A33999 541 35 with with IN A33999 541 36 the the DT A33999 541 37 Angle Angle NNP A33999 541 38 comprehended comprehend VBN A33999 541 39 are be VBP A33999 541 40 given give VBN A33999 541 41 , , , A33999 541 42 to to IN A33999 541 43 finde finde NNP A33999 541 44 one one CD A33999 541 45 of of IN A33999 541 46 the the DT A33999 541 47 other other JJ A33999 541 48 Angles angle NNS A33999 541 49 : : : A33999 541 50 That that IN A33999 541 51 , , , A33999 541 52 As as IN A33999 541 53 the the DT A33999 541 54 Sine Sine NNP A33999 541 55 of of IN A33999 541 56 the the DT A33999 541 57 Side side NN A33999 541 58 between between IN A33999 541 59 the the DT A33999 541 60 Angle Angle NNP A33999 541 61 sought seek VBD A33999 541 62 and and CC A33999 541 63 perpendicular perpendicular JJ A33999 541 64 , , , A33999 541 65 Is be VBZ A33999 541 66 to to IN A33999 541 67 the the DT A33999 541 68 Tangent tangent NN A33999 541 69 of of IN A33999 541 70 the the DT A33999 541 71 given give VBN A33999 541 72 Angle Angle NNP A33999 541 73 , , , A33999 541 74 So so RB A33999 541 75 is be VBZ A33999 541 76 the the DT A33999 541 77 Sine Sine NNP A33999 541 78 of of IN A33999 541 79 the the DT A33999 541 80 Side side NN A33999 541 81 between between IN A33999 541 82 the the DT A33999 541 83 Angle Angle NNP A33999 541 84 given give VBN A33999 541 85 , , , A33999 541 86 and and CC A33999 541 87 perpendicular perpendicular JJ A33999 541 88 , , , A33999 541 89 To to IN A33999 541 90 the the DT A33999 541 91 Tangent Tangent NNP A33999 541 92 of of IN A33999 541 93 the the DT A33999 541 94 Angle Angle NNP A33999 541 95 sought seek VBD A33999 541 96 . . . A33999 542 1 And and CC A33999 542 2 so so RB A33999 542 3 in in IN A33999 542 4 that that DT A33999 542 5 Oblique Oblique NNP A33999 542 6 Triangle Triangle NNP A33999 542 7 , , , A33999 542 8 the the DT A33999 542 9 difference difference NN A33999 542 10 between between IN A33999 542 11 the the DT A33999 542 12 Reclination Reclination NNP A33999 542 13 of of IN A33999 542 14 the the DT A33999 542 15 plain plain RB A33999 542 16 proposed propose VBN A33999 542 17 , , , A33999 542 18 and and CC A33999 542 19 the the DT A33999 542 20 Polar Polar NNP A33999 542 21 plain plain NN A33999 542 22 is be VBZ A33999 542 23 RS RS NNP A33999 542 24 , , , A33999 542 25 then then RB A33999 542 26 because because IN A33999 542 27 R r NN A33999 542 28 ☉ ☉ NNP A33999 542 29 is be VBZ A33999 542 30 a a DT A33999 542 31 Quadrant Quadrant NNP A33999 542 32 , , , A33999 542 33 S S NNP A33999 542 34 ☉ ☉ NNP A33999 542 35 is be VBZ A33999 542 36 the the DT A33999 542 37 complement complement NN A33999 542 38 of of IN A33999 542 39 the the DT A33999 542 40 former former JJ A33999 542 41 Ark Ark NNP A33999 542 42 , , , A33999 542 43 therefore therefore RB A33999 542 44 it -PRON- PRP A33999 542 45 holds hold VBZ A33999 542 46 : : : A33999 542 47 As as IN A33999 542 48 s s NNP A33999 542 49 SO so NN A33999 542 50 : : : A33999 542 51 t t LS A33999 542 52 SCP SCP NNP A33999 542 53 ∷ ∷ NNP A33999 542 54 s s NN A33999 542 55 SC SC NNP A33999 542 56 : : : A33999 542 57 t t NNP A33999 542 58 S S NNP A33999 542 59 ☉ ☉ NNP A33999 542 60 P p NN A33999 542 61 which which WDT A33999 542 62 is be VBZ A33999 542 63 the the DT A33999 542 64 very very JJ A33999 542 65 proportion proportion NN A33999 542 66 delivered deliver VBN A33999 542 67 delivered deliver VBN A33999 542 68 in in IN A33999 542 69 the the DT A33999 542 70 said say VBN A33999 542 71 Method Method NNP A33999 542 72 for for IN A33999 542 73 finding find VBG A33999 542 74 the the DT A33999 542 75 Substiles Substiles NNP A33999 542 76 distance distance NN A33999 542 77 . . . A33999 543 1 Then then RB A33999 543 2 in in IN A33999 543 3 the the DT A33999 543 4 right right NN A33999 543 5 Angled Angled NNP A33999 543 6 Triangled Triangled NNP A33999 543 7 PS PS NNP A33999 543 8 ☉ ☉ NNP A33999 543 9 , , , A33999 543 10 we -PRON- PRP A33999 543 11 have have VBP A33999 543 12 S S NNP A33999 543 13 ☉ ☉ NNS A33999 543 14 , , , A33999 543 15 and and CC A33999 543 16 the the DT A33999 543 17 Angle Angle NNP A33999 543 18 S S NNP A33999 543 19 ☉ ☉ NNP A33999 543 20 P p NN A33999 543 21 to to TO A33999 543 22 finde finde VB A33999 543 23 the the DT A33999 543 24 side side NN A33999 543 25 P p NN A33999 543 26 ☉ ☉ NNP A33999 543 27 , , , A33999 543 28 whereby whereby WRB A33999 543 29 is be VBZ A33999 543 30 got get VBN A33999 543 31 the the DT A33999 543 32 Stiles Stiles NNP A33999 543 33 height height NN A33999 543 34 ; ; : A33999 543 35 the the DT A33999 543 36 Inclination Inclination NNP A33999 543 37 of of IN A33999 543 38 Meridians Meridians NNPS A33999 543 39 is be VBZ A33999 543 40 found find VBN A33999 543 41 in in IN A33999 543 42 the the DT A33999 543 43 Oblique Oblique NNP A33999 543 44 Spherical Spherical NNP A33999 543 45 Triangle Triangle NNP A33999 543 46 by by IN A33999 543 47 the the DT A33999 543 48 proportion proportion NN A33999 543 49 of of IN A33999 543 50 Opposite opposite JJ A33999 543 51 sides side NNS A33999 543 52 and and CC A33999 543 53 Angles angle NNS A33999 543 54 . . . A33999 544 1 Lastly lastly RB A33999 544 2 , , , A33999 544 3 in in IN A33999 544 4 the the DT A33999 544 5 right right NN A33999 544 6 Angled Angled NNP A33999 544 7 Triangle Triangle NNP A33999 544 8 ZRC ZRC NNP A33999 544 9 , , , A33999 544 10 there there EX A33999 544 11 is be VBZ A33999 544 12 given give VBN A33999 544 13 RC rc NN A33999 544 14 , , , A33999 544 15 and and CC A33999 544 16 RCZ rcz NN A33999 544 17 to to TO A33999 544 18 finde finde VB A33999 544 19 RZ RZ NNP A33999 544 20 the the DT A33999 544 21 distance distance NN A33999 544 22 of of IN A33999 544 23 the the DT A33999 544 24 Meridian Meridian NNP A33999 544 25 from from IN A33999 544 26 the the DT A33999 544 27 plains plain NNS A33999 544 28 perpendicular perpendicular JJ A33999 544 29 . . . A33999 545 1 To to TO A33999 545 2 measure measure VB A33999 545 3 the the DT A33999 545 4 respective respective JJ A33999 545 5 Arks Arks NNP A33999 545 6 abovesaid abovesaid VBD A33999 545 7 . . . A33999 546 1 1 1 LS A33999 546 2 . . . A33999 547 1 The the DT A33999 547 2 New New NNP A33999 547 3 Latitude Latitude NNP A33999 547 4 . . . A33999 548 1 A a DT A33999 548 2 Ruler ruler NN A33999 548 3 laid lay VBD A33999 548 4 from from IN A33999 548 5 W w NN A33999 548 6 to to IN A33999 548 7 Z z NN A33999 548 8 , , , A33999 548 9 and and CC A33999 548 10 P p NN A33999 548 11 will will MD A33999 548 12 give give VB A33999 548 13 you -PRON- PRP A33999 548 14 the the DT A33999 548 15 Arch arch JJ A33999 548 16 MO mo NN A33999 548 17 in in IN A33999 548 18 the the DT A33999 548 19 Limbe Limbe NNP A33999 548 20 , , , A33999 548 21 the the DT A33999 548 22 complement complement NN A33999 548 23 of of IN A33999 548 24 the the DT A33999 548 25 new new JJ A33999 548 26 Latitude Latitude NNP A33999 548 27 , , , A33999 548 28 to to IN A33999 548 29 wit wit NN A33999 548 30 , , , A33999 548 31 27d 27d CD A33999 548 32 40′ 40′ CD A33999 548 33 . . . A33999 549 1 2 2 LS A33999 549 2 . . . A33999 550 1 The the DT A33999 550 2 New New NNP A33999 550 3 Declination Declination NNP A33999 550 4 . . . A33999 551 1 The the DT A33999 551 2 Ruler ruler NN A33999 551 3 laid lay VBD A33999 551 4 from from IN A33999 551 5 the the DT A33999 551 6 Plains Plains NNPS A33999 551 7 Zenith Zenith NNP A33999 551 8 at at IN A33999 551 9 Z Z NNP A33999 551 10 , , , A33999 551 11 to to IN A33999 551 12 its -PRON- PRP$ A33999 551 13 Pole Pole NNP A33999 551 14 at at IN A33999 551 15 ☉ ☉ NNP A33999 551 16 , , , A33999 551 17 findes find VBZ A33999 551 18 the the DT A33999 551 19 point point NN A33999 551 20 Q q NN A33999 551 21 in in IN A33999 551 22 the the DT A33999 551 23 Limbe Limbe NNP A33999 551 24 , , , A33999 551 25 and and CC A33999 551 26 the the DT A33999 551 27 Arch Arch NNP A33999 551 28 SQ SQ NNP A33999 551 29 is be VBZ A33999 551 30 the the DT A33999 551 31 new new JJ A33999 551 32 Declination Declination NNP A33999 551 33 , , , A33999 551 34 to to IN A33999 551 35 wit wit NN A33999 551 36 , , , A33999 551 37 18d 18d NNS A33999 551 38 56′ 56′ CD A33999 551 39 . . . A33999 552 1 3 3 LS A33999 552 2 . . . A33999 553 1 The the DT A33999 553 2 Substiles Substiles NNP A33999 553 3 distance distance NN A33999 553 4 from from IN A33999 553 5 the the DT A33999 553 6 Plains Plains NNPS A33999 553 7 perpendicular perpendicular NN A33999 553 8 . . . A33999 554 1 A a DT A33999 554 2 Ruler ruler NN A33999 554 3 laid lay VBD A33999 554 4 from from IN A33999 554 5 ☉ ☉ NNS A33999 554 6 to to IN A33999 554 7 H h NN A33999 554 8 , , , A33999 554 9 findes find VBZ A33999 554 10 the the DT A33999 554 11 point point NN A33999 554 12 T t NN A33999 554 13 in in IN A33999 554 14 the the DT A33999 554 15 Limbe Limbe NNP A33999 554 16 , , , A33999 554 17 and and CC A33999 554 18 the the DT A33999 554 19 Arch Arch NNP A33999 554 20 CT CT NNP A33999 554 21 being be VBG A33999 554 22 26d 26d CD A33999 554 23 26′ 26′ CD A33999 554 24 is be VBZ A33999 554 25 the the DT A33999 554 26 Substiles Substiles NNP A33999 554 27 distance distance NN A33999 554 28 from from IN A33999 554 29 the the DT A33999 554 30 Plains Plains NNPS A33999 554 31 perpendicular perpendicular NN A33999 554 32 . . . A33999 555 1 4 4 LS A33999 555 2 . . . A33999 556 1 The the DT A33999 556 2 Meridians Meridians NNPS A33999 556 3 distance distance NN A33999 556 4 from from IN A33999 556 5 the the DT A33999 556 6 Plains Plains NNPS A33999 556 7 perpendicular perpendicular NN A33999 556 8 . . . A33999 557 1 A a DT A33999 557 2 Ruler ruler NN A33999 557 3 laid lay VBD A33999 557 4 from from IN A33999 557 5 ☉ ☉ NNS A33999 557 6 to to IN A33999 557 7 Z z NN A33999 557 8 , , , A33999 557 9 findes find VBZ A33999 557 10 the the DT A33999 557 11 point point NN A33999 557 12 V v NN A33999 557 13 in in IN A33999 557 14 the the DT A33999 557 15 Limbe Limbe NNP A33999 557 16 , , , A33999 557 17 and and CC A33999 557 18 the the DT A33999 557 19 Arch Arch NNP A33999 557 20 DV DV NNP A33999 557 21 being be VBG A33999 557 22 35d 35d NNS A33999 557 23 56′ 56′ CD A33999 557 24 is be VBZ A33999 557 25 the the DT A33999 557 26 Meridians Meridians NNPS A33999 557 27 distance distance NN A33999 557 28 from from IN A33999 557 29 the the DT A33999 557 30 Plains Plains NNPS A33999 557 31 perpendicular perpendicular NN A33999 557 32 . . . A33999 558 1 5 5 CD A33999 558 2 . . . A33999 559 1 The the DT A33999 559 2 Stiles Stiles NNP A33999 559 3 height height NN A33999 559 4 . . . A33999 560 1 Set Set VBN A33999 560 2 off off RP A33999 560 3 a a DT A33999 560 4 Quadrant Quadrant NNP A33999 560 5 from from IN A33999 560 6 G g NN A33999 560 7 to to IN A33999 560 8 X x NN A33999 560 9 , , , A33999 560 10 and and CC A33999 560 11 draw draw VB A33999 560 12 XC XC NNP A33999 560 13 , , , A33999 560 14 where where WRB A33999 560 15 it -PRON- PRP A33999 560 16 intersects intersect VBZ A33999 560 17 the the DT A33999 560 18 plain plain JJ A33999 560 19 as as IN A33999 560 20 at at IN A33999 560 21 Y Y NNP A33999 560 22 , , , A33999 560 23 is be VBZ A33999 560 24 the the DT A33999 560 25 Pole Pole NNP A33999 560 26 of of IN A33999 560 27 the the DT A33999 560 28 Arch Arch NNP A33999 560 29 FG FG NNP A33999 560 30 , , , A33999 560 31 then then RB A33999 560 32 laying lay VBG A33999 560 33 a a DT A33999 560 34 Ruler ruler NN A33999 560 35 from from IN A33999 560 36 Y Y NNP A33999 560 37 to to IN A33999 560 38 H h NN A33999 560 39 and and CC A33999 560 40 P p NN A33999 560 41 , , , A33999 560 42 you -PRON- PRP A33999 560 43 shall shall MD A33999 560 44 finde finde VB A33999 560 45 the the DT A33999 560 46 Stiles Stiles NNP A33999 560 47 height height NN A33999 560 48 in in IN A33999 560 49 the the DT A33999 560 50 Limbe Limbe NNP A33999 560 51 to to TO A33999 560 52 be be VB A33999 560 53 the the DT A33999 560 54 Arch Arch NNP A33999 560 55 2 2 CD A33999 560 56 , , , A33999 560 57 3 3 CD A33999 560 58 , , , A33999 560 59 namely namely RB A33999 560 60 , , , A33999 560 61 26d 26d CD A33999 560 62 6′ 6′ CD A33999 560 63 . . . A33999 561 1 A a DT A33999 561 2 South south JJ A33999 561 3 plaine plaine JJ A33999 561 4 Declin Declin NNP A33999 561 5 40d 40d NNS A33999 561 6 East East NNP A33999 561 7 Reclining Reclining NNP A33999 561 8 60d 60d NNPS A33999 561 9 Lat Lat NNP A33999 561 10 51 51 CD A33999 561 11 - - SYM A33999 561 12 32′ 32′ CD A33999 561 13 page page NN A33999 561 14 55 55 CD A33999 561 15 A a DT A33999 561 16 South South NNP A33999 561 17 plaine plaine JJ A33999 561 18 Declin Declin NNP A33999 561 19 30d 30d NNP A33999 561 20 East East NNP A33999 561 21 Reclining Reclining NNP A33999 561 22 25d 25d CD A33999 561 23 Lat Lat NNP A33999 561 24 51 51 CD A33999 561 25 32′ 32′ CD A33999 561 26 6 6 CD A33999 561 27 . . . A33999 562 1 The the DT A33999 562 2 Inclination Inclination NNP A33999 562 3 of of IN A33999 562 4 Meridians Meridians NNPS A33999 562 5 . . . A33999 563 1 A a DT A33999 563 2 Ruler ruler NN A33999 563 3 laid lay VBD A33999 563 4 from from IN A33999 563 5 P p NN A33999 563 6 to to IN A33999 563 7 Y y NN A33999 563 8 , , , A33999 563 9 intersects intersect VBZ A33999 563 10 the the DT A33999 563 11 Limbe Limbe NNP A33999 563 12 at at IN A33999 563 13 ¶ ¶ NNP A33999 563 14 , , , A33999 563 15 the the DT A33999 563 16 Arch Arch NNP A33999 563 17 W W NNP A33999 563 18 ¶ ¶ NNP A33999 563 19 is be VBZ A33999 563 20 20d 20d CD A33999 563 21 58′ 58′ CD A33999 563 22 , , , A33999 563 23 and and CC A33999 563 24 so so RB A33999 563 25 much much JJ A33999 563 26 is be VBZ A33999 563 27 the the DT A33999 563 28 Inclination Inclination NNP A33999 563 29 of of IN A33999 563 30 Meridians Meridians NNPS A33999 563 31 . . . A33999 564 1 The the DT A33999 564 2 Polar Polar NNP A33999 564 3 Reclination Reclination NNP A33999 564 4 CS CS NNP A33999 564 5 is be VBZ A33999 564 6 31d 31d CD A33999 564 7 19′ 19′ CD A33999 564 8 . . . A33999 565 1 The the DT A33999 565 2 Scheam Scheam NNP A33999 565 3 determineth determineth NN A33999 565 4 all all PDT A33999 565 5 the the DT A33999 565 6 affections affection NNS A33999 565 7 of of IN A33999 565 8 the the DT A33999 565 9 plain plain NN A33999 565 10 . . . A33999 566 1 1 1 LS A33999 566 2 . . . A33999 567 1 It -PRON- PRP A33999 567 2 shews shew VBZ A33999 567 3 that that IN A33999 567 4 H h NN A33999 567 5 the the DT A33999 567 6 point point NN A33999 567 7 of of IN A33999 567 8 the the DT A33999 567 9 Substilar Substilar NNP A33999 567 10 lies lie NNS A33999 567 11 on on IN A33999 567 12 that that DT A33999 567 13 side side NN A33999 567 14 the the DT A33999 567 15 plains plain NNS A33999 567 16 perpendicular perpendicular JJ A33999 567 17 , , , A33999 567 18 that that DT A33999 567 19 is be VBZ A33999 567 20 towards towards IN A33999 567 21 the the DT A33999 567 22 Coast Coast NNP A33999 567 23 of of IN A33999 567 24 Declination Declination NNP A33999 567 25 . . . A33999 568 1 2 2 LS A33999 568 2 . . . A33999 569 1 That that DT A33999 569 2 Z z NN A33999 569 3 the the DT A33999 569 4 point point NN A33999 569 5 for for IN A33999 569 6 the the DT A33999 569 7 place place NN A33999 569 8 of of IN A33999 569 9 the the DT A33999 569 10 Meridian Meridian NNP A33999 569 11 , , , A33999 569 12 lyes lye VBZ A33999 569 13 towards towards IN A33999 569 14 the the DT A33999 569 15 same same JJ A33999 569 16 Coast Coast NNP A33999 569 17 as as IN A33999 569 18 before before RB A33999 569 19 , , , A33999 569 20 but but CC A33999 569 21 below below IN A33999 569 22 the the DT A33999 569 23 Substilar Substilar NNP A33999 569 24 Line Line NNP A33999 569 25 . . . A33999 570 1 3 3 LS A33999 570 2 . . . A33999 571 1 The the DT A33999 571 2 Arch Arch NNP A33999 571 3 PH PH NNP A33999 571 4 shews shew VBZ A33999 571 5 you -PRON- PRP A33999 571 6 that that IN A33999 571 7 the the DT A33999 571 8 North North NNP A33999 571 9 Pole Pole NNP A33999 571 10 is be VBZ A33999 571 11 elevated elevate VBN A33999 571 12 above above IN A33999 571 13 the the DT A33999 571 14 upper upper JJ A33999 571 15 or or CC A33999 571 16 Reclining recline VBG A33999 571 17 face face NN A33999 571 18 . . . A33999 572 1 After after IN A33999 572 2 the the DT A33999 572 3 same same JJ A33999 572 4 manner manner NN A33999 572 5 may may MD A33999 572 6 all all PDT A33999 572 7 the the DT A33999 572 8 Requisite Requisite NNP A33999 572 9 Arks Arks NNP A33999 572 10 be be VB A33999 572 11 measured measure VBN A33999 572 12 , , , A33999 572 13 and and CC A33999 572 14 affections affection NNS A33999 572 15 determined determine VBN A33999 572 16 for for IN A33999 572 17 all all DT A33999 572 18 plains plain NNS A33999 572 19 whatsoever whatsoever RB A33999 572 20 . . . A33999 573 1 A a DT A33999 573 2 South South NNP A33999 573 3 Plain Plain NNP A33999 573 4 Declining decline VBG A33999 573 5 30 30 CD A33999 573 6 degrees degree NNS A33999 573 7 Eastwards eastward NNS A33999 573 8 , , , A33999 573 9 Reclining recline VBG A33999 573 10 25 25 CD A33999 573 11 degrees degree NNS A33999 573 12 , , , A33999 573 13 or or CC A33999 573 14 a a DT A33999 573 15 North North NNP A33999 573 16 Plain Plain NNP A33999 573 17 Declining decline VBG A33999 573 18 30 30 CD A33999 573 19 degrees degree NNS A33999 573 20 Westwards Westwards NNPS A33999 573 21 , , , A33999 573 22 Inclining incline VBG A33999 573 23 ● ● XX A33999 573 24 ● ● NFP A33999 573 25 degrees degree NNS A33999 573 26 . . . A33999 574 1 In in IN A33999 574 2 this this DT A33999 574 3 Scheam Scheam NNP A33999 574 4 we -PRON- PRP A33999 574 5 have have VBP A33999 574 6 the the DT A33999 574 7 same same JJ A33999 574 8 Oblique Oblique NNP A33999 574 9 Triangle Triangle NNP A33999 574 10 PC PC NNP A33999 574 11 ☉ ☉ NNS A33999 574 12 reduced reduce VBN A33999 574 13 to to IN A33999 574 14 two two CD A33999 574 15 right right NN A33999 574 16 Angled Angled NNP A33999 574 17 Triangles Triangles NNP A33999 574 18 PSC PSC NNP A33999 574 19 and and CC A33999 574 20 PS PS NNP A33999 574 21 ☉ ☉ NNP A33999 574 22 , , , A33999 574 23 SC SC NNP A33999 574 24 is be VBZ A33999 574 25 the the DT A33999 574 26 Inclination Inclination NNP A33999 574 27 of of IN A33999 574 28 a a DT A33999 574 29 Polar Polar NNP A33999 574 30 plain plain NN A33999 574 31 , , , A33999 574 32 and and CC A33999 574 33 RC rc VB A33999 574 34 the the DT A33999 574 35 Inclination Inclination NNP A33999 574 36 of of IN A33999 574 37 the the DT A33999 574 38 plain plain RB A33999 574 39 proposed propose VBN A33999 574 40 , , , A33999 574 41 the the DT A33999 574 42 difference difference NN A33999 574 43 is be VBZ A33999 574 44 SR SR NNP A33999 574 45 , , , A33999 574 46 and and CC A33999 574 47 the the DT A33999 574 48 complement complement NN A33999 574 49 of of IN A33999 574 50 it -PRON- PRP A33999 574 51 , , , A33999 574 52 is be VBZ A33999 574 53 the the DT A33999 574 54 complement complement NN A33999 574 55 of of IN A33999 574 56 S S NNP A33999 574 57 ☉ ☉ NNP A33999 574 58 to to IN A33999 574 59 a a DT A33999 574 60 Semicircle Semicircle NNP A33999 574 61 , , , A33999 574 62 because because IN A33999 574 63 S S NNP A33999 574 64 ☉ ☉ NNP A33999 574 65 is be VBZ A33999 574 66 greater great JJR A33999 574 67 then then RB A33999 574 68 a a DT A33999 574 69 Quadrant Quadrant NNP A33999 574 70 , , , A33999 574 71 and and CC A33999 574 72 the the DT A33999 574 73 proportions proportion NNS A33999 574 74 are be VBP A33999 574 75 wholly wholly RB A33999 574 76 the the DT A33999 574 77 same same JJ A33999 574 78 , , , A33999 574 79 though though IN A33999 574 80 the the DT A33999 574 81 Triangle Triangle NNP A33999 574 82 have have VBP A33999 574 83 sides side NNS A33999 574 84 greater great JJR A33999 574 85 then then RB A33999 574 86 a a DT A33999 574 87 Quadrant Quadrant NNP A33999 574 88 . . . A33999 575 1 The the DT A33999 575 2 North North NNP A33999 575 3 Pole Pole NNP A33999 575 4 is be VBZ A33999 575 5 elevated elevate VBN A33999 575 6 on on IN A33999 575 7 the the DT A33999 575 8 Inclining incline VBG A33999 575 9 face face NN A33999 575 10 , , , A33999 575 11 the the DT A33999 575 12 Meridian meridian JJ A33999 575 13 Z Z NNP A33999 575 14 lyes lye NNS A33999 575 15 from from IN A33999 575 16 the the DT A33999 575 17 plains plain NNS A33999 575 18 perpendicular perpendicular JJ A33999 575 19 towards towards IN A33999 575 20 that that DT A33999 575 21 end end NN A33999 575 22 of of IN A33999 575 23 the the DT A33999 575 24 Horizontal Horizontal NNP A33999 575 25 Line Line NNP A33999 575 26 , , , A33999 575 27 opposite opposite RB A33999 575 28 to to IN A33999 575 29 the the DT A33999 575 30 Coast Coast NNP A33999 575 31 of of IN A33999 575 32 Declination Declination NNP A33999 575 33 , , , A33999 575 34 the the DT A33999 575 35 same same JJ A33999 575 36 way way NN A33999 575 37 and and CC A33999 575 38 beneath beneath IN A33999 575 39 it -PRON- PRP A33999 575 40 lyeth lyeth VBD A33999 575 41 the the DT A33999 575 42 Substilar Substilar NNP A33999 575 43 . . . A33999 576 1 The the DT A33999 576 2 complement complement NN A33999 576 3 of of IN A33999 576 4 the the DT A33999 576 5 new new JJ A33999 576 6 Latitude Latitude NNP A33999 576 7 ZP ZP NNP A33999 576 8 is be VBZ A33999 576 9 10d 10d CD A33999 576 10 10′ 10′ CD A33999 576 11 The the DT A33999 576 12 new new JJ A33999 576 13 Declination Declination NNP A33999 576 14 , , , A33999 576 15 viz viz NN A33999 576 16 . . . A33999 577 1 the the DT A33999 577 2 complement complement NN A33999 577 3 of of IN A33999 577 4 NZA NZA NNP A33999 577 5 is be VBZ A33999 577 6 26d 26d CD A33999 577 7 57′ 57′ CD A33999 577 8 The the DT A33999 577 9 meridians meridian NNS A33999 577 10 distance distance NN A33999 577 11 from from IN A33999 577 12 the the DT A33999 577 13 Plains Plains NNPS A33999 577 14 perpendicular perpendicular JJ A33999 577 15 RZ RZ NNP A33999 577 16 13d 13d CD A33999 577 17 43′ 43′ CD A33999 577 18 The the DT A33999 577 19 Substiles Substiles NNP A33999 577 20 distance distance NN A33999 577 21 therefrom therefrom JJ A33999 577 22 RH RH NNP A33999 577 23 18d 18d NNS A33999 577 24 22′ 22′ CD A33999 577 25 The the DT A33999 577 26 Stiles Stiles NNP A33999 577 27 height height NN A33999 577 28 PH PH NNP A33999 577 29 is be VBZ A33999 577 30 — — : A33999 577 31 9d 9d NN A33999 577 32 — — : A33999 577 33 3′ 3′ CD A33999 577 34 The the DT A33999 577 35 Inclination Inclination NNP A33999 577 36 of of IN A33999 577 37 Meridians Meridians NNPS A33999 577 38 , , , A33999 577 39 to to IN A33999 577 40 wit wit NN A33999 577 41 , , , A33999 577 42 the the DT A33999 577 43 Angle Angle NNP A33999 577 44 CP CP NNP A33999 577 45 ☉ ☉ NNP A33999 577 46 27d 27d CD A33999 577 47 18′ 18′ CD A33999 577 48 The The NNP A33999 577 49 Polar Polar NNP A33999 577 50 Reclination Reclination NNP A33999 577 51 — — : A33999 577 52 CS CS NNP A33999 577 53 — — : A33999 577 54 34d 34d NNS A33999 577 55 31′ 31′ CD A33999 577 56 A a DT A33999 577 57 South South NNP A33999 577 58 Plain Plain NNP A33999 577 59 Declining Declining NNP A33999 577 60 40 40 CD A33999 577 61 degrees degree NNS A33999 577 62 East East NNP A33999 577 63 , , , A33999 577 64 Inclining incline VBG A33999 577 65 15 15 CD A33999 577 66 degrees degree NNS A33999 577 67 , , , A33999 577 68 or or CC A33999 577 69 rather rather RB A33999 577 70 a a DT A33999 577 71 North North NNP A33999 577 72 Plain Plain NNP A33999 577 73 Declining decline VBG A33999 577 74 40 40 CD A33999 577 75 degrees degree NNS A33999 577 76 West West NNP A33999 577 77 , , , A33999 577 78 Reclining recline VBG A33999 577 79 15 15 CD A33999 577 80 degrees degree NNS A33999 577 81 . . . A33999 578 1 Here here RB A33999 578 2 again again RB A33999 578 3 the the DT A33999 578 4 Oblique Oblique NNP A33999 578 5 Triangle Triangle NNP A33999 578 6 CP CP NNP A33999 578 7 ☉ ☉ NNP A33999 578 8 is be VBZ A33999 578 9 reduced reduce VBN A33999 578 10 to to IN A33999 578 11 two two CD A33999 578 12 right right NN A33999 578 13 Angled Angled NNP A33999 578 14 Triangles Triangles NNP A33999 578 15 PSC PSC NNP A33999 578 16 and and CC A33999 578 17 PS PS NNP A33999 578 18 ☉ ☉ NNP A33999 578 19 , , , A33999 578 20 and and CC A33999 578 21 SR SR NNP A33999 578 22 is be VBZ A33999 578 23 the the DT A33999 578 24 sum sum NN A33999 578 25 of of IN A33999 578 26 the the DT A33999 578 27 Polar Polar NNP A33999 578 28 Reclination Reclination NNP A33999 578 29 SC SC NNP A33999 578 30 , , , A33999 578 31 and and CC A33999 578 32 the the DT A33999 578 33 Re Re NNP A33999 578 34 Inclination Inclination NNP A33999 578 35 of of IN A33999 578 36 the the DT A33999 578 37 Plain Plain NNP A33999 578 38 proposed propose VBN A33999 578 39 CR CR NNP A33999 578 40 , , , A33999 578 41 and and CC A33999 578 42 S S NNP A33999 578 43 ☉ ☉ NNP A33999 578 44 is be VBZ A33999 578 45 the the DT A33999 578 46 complement complement NN A33999 578 47 hereof hereof NNP A33999 578 48 , , , A33999 578 49 because because IN A33999 578 50 ☉ ☉ NNP A33999 578 51 R r NN A33999 578 52 is be VBZ A33999 578 53 a a DT A33999 578 54 Quadrant Quadrant NNP A33999 578 55 , , , A33999 578 56 finde finde IN A33999 578 57 the the DT A33999 578 58 Equinoctial equinoctial JJ A33999 578 59 point point NN A33999 578 60 AE ae RB A33999 578 61 . . . A33999 579 1 The the DT A33999 579 2 Polar Polar NNP A33999 579 3 Reclination Reclination NNP A33999 579 4 CS CS NNP A33999 579 5 31d 31d CD A33999 579 6 19′ 19′ CD A33999 579 7 . . . A33999 580 1 The the DT A33999 580 2 new new JJ A33999 580 3 Latitude Latitude NNP A33999 580 4 ZAE ZAE NNP A33999 580 5 is be VBZ A33999 580 6 32d 32d CD A33999 580 7 15′ 15′ CD A33999 580 8 . . . A33999 581 1 The the DT A33999 581 2 new new JJ A33999 581 3 Declination Declination NNP A33999 581 4 being be VBG A33999 581 5 the the DT A33999 581 6 complement complement NN A33999 581 7 of of IN A33999 581 8 NZA NZA NNP A33999 581 9 is be VBZ A33999 581 10 38d 38d CD A33999 581 11 23′ 23′ . A33999 581 12 The the DT A33999 581 13 Meridians Meridians NNPS A33999 581 14 distance distance NN A33999 581 15 from from IN A33999 581 16 the the DT A33999 581 17 plains plain NNS A33999 581 18 perpendicular perpendicular JJ A33999 581 19 ZR ZR NNP A33999 581 20 12d 12d CD A33999 581 21 33′ 33′ CD A33999 581 22 The the DT A33999 581 23 Substiles Substiles NNP A33999 581 24 distance distance NN A33999 581 25 from from IN A33999 581 26 the the DT A33999 581 27 plains plain NNS A33999 581 28 perpendicular perpendicular JJ A33999 581 29 RH RH NNP A33999 581 30 32d 32d CD A33999 581 31 16′ 16′ CD A33999 581 32 The the DT A33999 581 33 Stiles Stiles NNP A33999 581 34 height height NN A33999 581 35 PH PH NNP A33999 581 36 is be VBZ A33999 581 37 — — : A33999 581 38 41d 41d VBZ A33999 581 39 30′ 30′ CD A33999 581 40 The the DT A33999 581 41 Inclination Inclination NNP A33999 581 42 of of IN A33999 581 43 Meridians Meridians NNPS A33999 581 44 ☉ ☉ NNP A33999 581 45 PC PC NNP A33999 581 46 rather rather RB A33999 581 47 the the DT A33999 581 48 Acute Acute NNP A33999 581 49 Angle Angle NNP A33999 581 50 ☉ ☉ NNPS A33999 581 51 PN PN NNP A33999 581 52 is be VBZ A33999 581 53 55d 55d CD A33999 581 54 58′ 58′ CD A33999 581 55 The the DT A33999 581 56 Meridian meridian JJ A33999 581 57 Z Z NNP A33999 581 58 lies lie VBZ A33999 581 59 from from IN A33999 581 60 the the DT A33999 581 61 plains plain NNS A33999 581 62 perpendicular perpendicular JJ A33999 581 63 towards towards IN A33999 581 64 the the DT A33999 581 65 Coast Coast NNP A33999 581 66 of of IN A33999 581 67 Declination Declination NNP A33999 581 68 on on IN A33999 581 69 the the DT A33999 581 70 Reclining Reclining NNP A33999 581 71 side side NN A33999 581 72 , , , A33999 581 73 but but CC A33999 581 74 must must MD A33999 581 75 be be VB A33999 581 76 drawn draw VBN A33999 581 77 through through IN A33999 581 78 the the DT A33999 581 79 Center Center NNP A33999 581 80 , , , A33999 581 81 because because IN A33999 581 82 the the DT A33999 581 83 Sun Sun NNP A33999 581 84 at at IN A33999 581 85 noon noon NN A33999 581 86 casts cast VBZ A33999 581 87 his -PRON- PRP$ A33999 581 88 shadow shadow NN A33999 581 89 Northwards Northwards NNPS A33999 581 90 , , , A33999 581 91 unless unless IN A33999 581 92 in in IN A33999 581 93 the the DT A33999 581 94 Torrid Torrid NNP A33999 581 95 or or CC A33999 581 96 Frozen Frozen NNP A33999 581 97 Zone Zone NNP A33999 581 98 , , , A33999 581 99 and and CC A33999 581 100 the the DT A33999 581 101 Substile Substile NNP A33999 581 102 Hlyes Hlyes NNP A33999 581 103 on on IN A33999 581 104 the the DT A33999 581 105 other other JJ A33999 581 106 side side NN A33999 581 107 the the DT A33999 581 108 plains plains NNPS A33999 581 109 perpendicular perpendicular JJ A33999 581 110 . . . A33999 582 1 A a DT A33999 582 2 North North NNP A33999 582 3 Plain Plain NNP A33999 582 4 Declining decline VBG A33999 582 5 40 40 CD A33999 582 6 degrees degree NNS A33999 582 7 Eastwards eastward NNS A33999 582 8 , , , A33999 582 9 Reclining recline VBG A33999 582 10 75 75 CD A33999 582 11 degrees degree NNS A33999 582 12 . . . A33999 583 1 In in IN A33999 583 2 this this DT A33999 583 3 plain plain NN A33999 583 4 likewise likewise RB A33999 583 5 the the DT A33999 583 6 Oblique Oblique NNP A33999 583 7 Triangle Triangle NNP A33999 583 8 C C NNP A33999 583 9 ☉ ☉ NNP A33999 583 10 P p NN A33999 583 11 is be VBZ A33999 583 12 reduced reduce VBN A33999 583 13 to to IN A33999 583 14 two two CD A33999 583 15 right right NN A33999 583 16 Angled Angled NNP A33999 583 17 Triangles Triangles NNP A33999 583 18 PS PS NNP A33999 583 19 ☉ ☉ NNP A33999 583 20 and and CC A33999 583 21 PSC psc NN A33999 583 22 by by IN A33999 583 23 the the DT A33999 583 24 perpendicular perpendicular JJ A33999 583 25 PS PS NNP A33999 583 26 which which WDT A33999 583 27 is be VBZ A33999 583 28 part part NN A33999 583 29 of of IN A33999 583 30 the the DT A33999 583 31 Arch Arch NNP A33999 583 32 of of IN A33999 583 33 a a DT A33999 583 34 polar polar JJ A33999 583 35 plain plain NN A33999 583 36 , , , A33999 583 37 here here RB A33999 583 38 CR CR NNP A33999 583 39 more more JJR A33999 583 40 CS CS NNP A33999 583 41 is be VBZ A33999 583 42 equal equal JJ A33999 583 43 to to IN A33999 583 44 the the DT A33999 583 45 sum sum NN A33999 583 46 of of IN A33999 583 47 the the DT A33999 583 48 Plains Plains NNPS A33999 583 49 Reclination Reclination NNP A33999 583 50 proposed propose VBD A33999 583 51 , , , A33999 583 52 and and CC A33999 583 53 of of IN A33999 583 54 the the DT A33999 583 55 Polar Polar NNP A33999 583 56 plains plain NNS A33999 583 57 Reclination Reclination NNP A33999 583 58 , , , A33999 583 59 which which WDT A33999 583 60 is be VBZ A33999 583 61 greater great JJR A33999 583 62 then then RB A33999 583 63 a a DT A33999 583 64 Quadrant Quadrant NNP A33999 583 65 for for IN A33999 583 66 the the DT A33999 583 67 Arch Arch NNP A33999 583 68 R R NNP A33999 583 69 ☉ ☉ NNP A33999 583 70 is be VBZ A33999 583 71 a a DT A33999 583 72 Quadrant Quadrant NNP A33999 583 73 ; ; : A33999 583 74 now now RB A33999 583 75 the the DT A33999 583 76 Cosine Cosine NNP A33999 583 77 of of IN A33999 583 78 an an DT A33999 583 79 Ark Ark NNP A33999 583 80 greater great JJR A33999 583 81 then then RB A33999 583 82 a a DT A33999 583 83 Quadrant Quadrant NNP A33999 583 84 is be VBZ A33999 583 85 the the DT A33999 583 86 Sine Sine NNP A33999 583 87 of of IN A33999 583 88 that that DT A33999 583 89 Arks Arks NNP A33999 583 90 excess excess NN A33999 583 91 above above IN A33999 583 92 a a DT A33999 583 93 Quadrant Quadrant NNP A33999 583 94 , , , A33999 583 95 wherefore wherefore VBD A33999 583 96 the the DT A33999 583 97 Sine Sine NNP A33999 583 98 of of IN A33999 583 99 S S NNP A33999 583 100 ☉ ☉ NNP A33999 583 101 is be VBZ A33999 583 102 the the DT A33999 583 103 Cosine Cosine NNP A33999 583 104 of of IN A33999 583 105 the the DT A33999 583 106 sum sum NN A33999 583 107 of of IN A33999 583 108 both both CC A33999 583 109 the the DT A33999 583 110 Reclinations Reclinations NNPS A33999 583 111 , , , A33999 583 112 and and CC A33999 583 113 the the DT A33999 583 114 Case Case NNP A33999 583 115 the the DT A33999 583 116 same same JJ A33999 583 117 as as IN A33999 583 118 before before RB A33999 583 119 . . . A33999 584 1 A a DT A33999 584 2 South south JJ A33999 584 3 plaine plaine JJ A33999 584 4 Declin Declin NNP A33999 584 5 40d 40d NNPS A33999 584 6 East East NNP A33999 584 7 Inclining incline VBG A33999 584 8 15d 15d CD A33999 584 9 Lat Lat NNP A33999 584 10 51d 51d NNS A33999 584 11 72′ 72′ CD A33999 584 12 page page NN A33999 584 13 56 56 CD A33999 584 14 A a DT A33999 584 15 North North NNP A33999 584 16 plain plain JJ A33999 584 17 Declin Declin NNP A33999 584 18 40d 40d NNS A33999 584 19 East East NNP A33999 584 20 Reclin Reclin NNP A33999 584 21 75d 75d CD A33999 584 22 lat lat NNP A33999 584 23 51d 51d NNS A33999 584 24 32′ 32′ CD A33999 584 25 Prick Prick NNP A33999 584 26 off off RP A33999 584 27 a a DT A33999 584 28 Quadrant Quadrant NNP A33999 584 29 from from IN A33999 584 30 G g NN A33999 584 31 to to IN A33999 584 32 X x NN A33999 584 33 , , , A33999 584 34 and and CC A33999 584 35 draw draw VB A33999 584 36 XC XC NNP A33999 584 37 , , , A33999 584 38 it -PRON- PRP A33999 584 39 cuts cut VBZ A33999 584 40 the the DT A33999 584 41 plain plain NN A33999 584 42 at at IN A33999 584 43 Y Y NNP A33999 584 44 , , , A33999 584 45 a a DT A33999 584 46 Ruler ruler NN A33999 584 47 laid lay VBN A33999 584 48 from from IN A33999 584 49 Y Y NNP A33999 584 50 to to IN A33999 584 51 H h NN A33999 584 52 , , , A33999 584 53 and and CC A33999 584 54 P p NN A33999 584 55 findes find VBZ A33999 584 56 the the DT A33999 584 57 points point NNS A33999 584 58 2 2 CD A33999 584 59 , , , A33999 584 60 3 3 CD A33999 584 61 in in IN A33999 584 62 the the DT A33999 584 63 Limbe Limbe NNP A33999 584 64 , , , A33999 584 65 and and CC A33999 584 66 the the DT A33999 584 67 Arch Arch NNP A33999 584 68 2 2 CD A33999 584 69 , , , A33999 584 70 3 3 CD A33999 584 71 being be VBG A33999 584 72 61d 61d CD A33999 584 73 31′ 31′ CD A33999 584 74 , , , A33999 584 75 is be VBZ A33999 584 76 the the DT A33999 584 77 Stiles Stiles NNP A33999 584 78 height height NN A33999 584 79 ; ; : A33999 584 80 orther orther NNP A33999 584 81 complement complement NN A33999 584 82 thereof thereof RB A33999 584 83 to to IN A33999 584 84 a a DT A33999 584 85 Semicircle Semicircle NNP A33999 584 86 might may MD A33999 584 87 be be VB A33999 584 88 found find VBN A33999 584 89 by by IN A33999 584 90 measuring measure VBG A33999 584 91 the the DT A33999 584 92 Arch Arch NNP A33999 584 93 PF PF NNP A33999 584 94 . . . A33999 585 1 A a DT A33999 585 2 Ruler ruler NN A33999 585 3 laid lay VBD A33999 585 4 from from IN A33999 585 5 ☉ ☉ NNS A33999 585 6 to to IN A33999 585 7 Z z NN A33999 585 8 , , , A33999 585 9 findes find VBZ A33999 585 10 the the DT A33999 585 11 point point NN A33999 585 12 V v NN A33999 585 13 in in IN A33999 585 14 the the DT A33999 585 15 Limbe Limbe NNP A33999 585 16 for for IN A33999 585 17 the the DT A33999 585 18 Meridian Meridian NNP A33999 585 19 Line Line NNP A33999 585 20 , , , A33999 585 21 from from IN A33999 585 22 which which WDT A33999 585 23 draw draw VBP A33999 585 24 a a DT A33999 585 25 Line line NN A33999 585 26 through through IN A33999 585 27 the the DT A33999 585 28 Center Center NNP A33999 585 29 on on IN A33999 585 30 the the DT A33999 585 31 other other JJ A33999 585 32 side side NN A33999 585 33 , , , A33999 585 34 and and CC A33999 585 35 it -PRON- PRP A33999 585 36 will will MD A33999 585 37 be be VB A33999 585 38 placed place VBN A33999 585 39 in in IN A33999 585 40 its -PRON- PRP$ A33999 585 41 true true JJ A33999 585 42 Coast coast NN A33999 585 43 and and CC A33999 585 44 quantity quantity NN A33999 585 45 from from IN A33999 585 46 the the DT A33999 585 47 Plains Plains NNPS A33999 585 48 perpendicular perpendicular JJ A33999 585 49 at at IN A33999 585 50 A a NN A33999 585 51 , , , A33999 585 52 to to IN A33999 585 53 wit wit NN A33999 585 54 , , , A33999 585 55 39d 39d NNS A33999 585 56 2′ 2′ CD A33999 585 57 . . . A33999 586 1 The the DT A33999 586 2 Inclination Inclination NNP A33999 586 3 of of IN A33999 586 4 Meridians Meridians NNPS A33999 586 5 , , , A33999 586 6 to to IN A33999 586 7 wit wit NN A33999 586 8 , , , A33999 586 9 the the DT A33999 586 10 Angle Angle NNP A33999 586 11 CP CP NNP A33999 586 12 ☉ ☉ NNPS A33999 586 13 is be VBZ A33999 586 14 20d 20d CD A33999 586 15 30′ 30′ CD A33999 586 16 , , , A33999 586 17 The the DT A33999 586 18 new new JJ A33999 586 19 Latitude Latitude NNP A33999 586 20 ZAE ZAE NNP A33999 586 21 26d 26d NNS A33999 586 22 38′ 38′ CD A33999 586 23 . . . A33999 587 1 The the DT A33999 587 2 new new JJ A33999 587 3 Declination Declination NNP A33999 587 4 is be VBZ A33999 587 5 9d 9d NN A33999 587 6 35′ 35′ CD A33999 587 7 to to IN A33999 587 8 wit wit NN A33999 587 9 , , , A33999 587 10 the the DT A33999 587 11 complement complement NN A33999 587 12 of of IN A33999 587 13 KRB KRB NNP A33999 587 14 . . . A33999 588 1 The the DT A33999 588 2 Polar Polar NNP A33999 588 3 Reclination Reclination NNP A33999 588 4 CS CS NNP A33999 588 5 is be VBZ A33999 588 6 31d 31d CD A33999 588 7 19′ 19′ CD A33999 588 8 . . . A33999 589 1 The the DT A33999 589 2 truth truth NN A33999 589 3 of of IN A33999 589 4 this this DT A33999 589 5 Stereographick Stereographick NNP A33999 589 6 Projection Projection NNP A33999 589 7 is be VBZ A33999 589 8 fully fully RB A33999 589 9 handled handle VBN A33999 589 10 by by IN A33999 589 11 Aguilonius Aguilonius NNP A33999 589 12 in in IN A33999 589 13 his -PRON- PRP$ A33999 589 14 Opticks optick NNS A33999 589 15 , , , A33999 589 16 and and CC A33999 589 17 how how WRB A33999 589 18 to to TO A33999 589 19 determine determine VB A33999 589 20 the the DT A33999 589 21 affection affection NN A33999 589 22 of of IN A33999 589 23 any any DT A33999 589 24 Angle Angle NNP A33999 589 25 of of IN A33999 589 26 an an DT A33999 589 27 Oblique Oblique NNP A33999 589 28 Spherical Spherical NNP A33999 589 29 Triangle Triangle NNP A33999 589 30 , , , A33999 589 31 I -PRON- PRP A33999 589 32 have have VBP A33999 589 33 fully fully RB A33999 589 34 shewed shew VBN A33999 589 35 in in IN A33999 589 36 a a DT A33999 589 37 Treatise Treatise NNP A33999 589 38 , , , A33999 589 39 called call VBN A33999 589 40 the the DT A33999 589 41 Sector Sector NNP A33999 589 42 on on IN A33999 589 43 a a DT A33999 589 44 Quadrant quadrant NN A33999 589 45 . . . A33999 590 1 For for IN A33999 590 2 the the DT A33999 590 3 Resolution Resolution NNP A33999 590 4 of of IN A33999 590 5 Spherical spherical JJ A33999 590 6 propositions proposition NNS A33999 590 7 , , , A33999 590 8 Delineations delineation NNS A33999 590 9 from from IN A33999 590 10 proportions proportion NNS A33999 590 11 or or CC A33999 590 12 the the DT A33999 590 13 Analemma Analemma NNP A33999 590 14 , , , A33999 590 15 will will MD A33999 590 16 be be VB A33999 590 17 more more RBR A33999 590 18 speedy speedy JJ A33999 590 19 and and CC A33999 590 20 certain certain JJ A33999 590 21 ( ( -LRB- A33999 590 22 though though IN A33999 590 23 they -PRON- PRP A33999 590 24 may may MD A33999 590 25 also also RB A33999 590 26 be be VB A33999 590 27 thus thus RB A33999 590 28 resolved resolve VBN A33999 590 29 ) ) -RRB- A33999 590 30 which which WDT A33999 590 31 I -PRON- PRP A33999 590 32 have have VBP A33999 590 33 handled handle VBN A33999 590 34 at at IN A33999 590 35 large large JJ A33999 590 36 in in IN A33999 590 37 the the DT A33999 590 38 Mariners Mariners NNPS A33999 590 39 Plain Plain NNP A33999 590 40 Scale Scale NNP A33999 590 41 new new JJ A33999 590 42 plain'd plain'd NN A33999 590 43 . . . A33999 591 1 To to TO A33999 591 2 determine determine VB A33999 591 3 what what WDT A33999 591 4 hours hour NNS A33999 591 5 are be VBP A33999 591 6 proper proper JJ A33999 591 7 to to IN A33999 591 8 all all DT A33999 591 9 kinde kinde NNP A33999 591 10 of of IN A33999 591 11 Plains Plains NNPS A33999 591 12 . . . A33999 592 1 To to TO A33999 592 2 do do VB A33999 592 3 this this DT A33999 592 4 it -PRON- PRP A33999 592 5 will will MD A33999 592 6 be be VB A33999 592 7 necessary necessary JJ A33999 592 8 to to TO A33999 592 9 project project VB A33999 592 10 upon upon IN A33999 592 11 the the DT A33999 592 12 Plain Plain NNP A33999 592 13 of of IN A33999 592 14 the the DT A33999 592 15 Horizon Horizon NNP A33999 592 16 , , , A33999 592 17 the the DT A33999 592 18 Summer Summer NNP A33999 592 19 and and CC A33999 592 20 Winter Winter NNP A33999 592 21 Tropicks Tropicks NNPS A33999 592 22 . . . A33999 593 1 Get get VB A33999 593 2 the the DT A33999 593 3 Sum Sum NNP A33999 593 4 and and CC A33999 593 5 difference difference NN A33999 593 6 of of IN A33999 593 7 the the DT A33999 593 8 Colatitude Colatitude NNP A33999 593 9 , , , A33999 593 10 and and CC A33999 593 11 of of IN A33999 593 12 the the DT A33999 593 13 Suns Suns NNPS A33999 593 14 greatest great JJS A33999 593 15 Declination declination NN A33999 593 16 , , , A33999 593 17 so so RB A33999 593 18 we -PRON- PRP A33999 593 19 shall shall MD A33999 593 20 obtain obtain VB A33999 593 21 his -PRON- PRP$ A33999 593 22 greatest great JJS A33999 593 23 and and CC A33999 593 24 least least JJS A33999 593 25 Meridian Meridian NNP A33999 593 26 Altitudes Altitudes NNPS A33999 593 27 . . . A33999 594 1 The the DT A33999 594 2 depression depression NN A33999 594 3 of of IN A33999 594 4 the the DT A33999 594 5 Tropick Tropick NNP A33999 594 6 of of IN A33999 594 7 Cancer Cancer NNP A33999 594 8 under under IN A33999 594 9 the the DT A33999 594 10 Horizon Horizon NNP A33999 594 11 , , , A33999 594 12 is be VBZ A33999 594 13 equal equal JJ A33999 594 14 to to IN A33999 594 15 the the DT A33999 594 16 least least JJS A33999 594 17 Meridian Meridian NNP A33999 594 18 Altitude Altitude NNP A33999 594 19 , , , A33999 594 20 and and CC A33999 594 21 the the DT A33999 594 22 depression depression NN A33999 594 23 of of IN A33999 594 24 the the DT A33999 594 25 Tropick Tropick NNP A33999 594 26 of of IN A33999 594 27 Capricorn Capricorn NNP A33999 594 28 to to IN A33999 594 29 the the DT A33999 594 30 greatest great JJS A33999 594 31 . . . A33999 595 1 Example example NN A33999 595 2 : : : A33999 595 3 38d 38d CD A33999 595 4 28′ 28′ CD A33999 595 5 Colatitude Colatitude NNP A33999 595 6 23d 23d NNS A33999 595 7 31′ 31′ CD A33999 595 8 61d 61d -RRB- A33999 595 9 59′ 59′ CD A33999 595 10 greatest great JJS A33999 595 11 14d 14d NNS A33999 595 12 57′ 57′ CD A33999 595 13 least least JJS A33999 595 14 Meridian Meridian NNP A33999 595 15 Altitude Altitude NNP A33999 595 16 , , , A33999 595 17 having have VBG A33999 595 18 drawn draw VBN A33999 595 19 the the DT A33999 595 20 Primitive Primitive NNP A33999 595 21 Circle Circle NNP A33999 595 22 , , , A33999 595 23 & & CC A33999 595 24 c. c. NNP A33999 595 25 as as IN A33999 595 26 before before RB A33999 595 27 . . . A33999 596 1 Prick Prick NNP A33999 596 2 14d 14d VBZ A33999 596 3 15′ 15′ CD A33999 596 4 from from IN A33999 596 5 S S NNP A33999 596 6 to to IN A33999 596 7 C c NN A33999 596 8 , , , A33999 596 9 and and CC A33999 596 10 61d 61d CD A33999 596 11 59′ 59′ CD A33999 596 12 from from IN A33999 596 13 S S NNP A33999 596 14 towards towards IN A33999 596 15 W w NN A33999 596 16 , , , A33999 596 17 a a DT A33999 596 18 Ruler ruler NN A33999 596 19 laid lay VBN A33999 596 20 from from IN A33999 596 21 the the DT A33999 596 22 points point NNS A33999 596 23 found find VBD A33999 596 24 , , , A33999 596 25 will will MD A33999 596 26 intersect intersect VB A33999 596 27 the the DT A33999 596 28 meridian meridian JJ A33999 596 29 ZS ZS NNP A33999 596 30 at at IN A33999 596 31 the the DT A33999 596 32 point point NN A33999 596 33 L l NN A33999 596 34 for for IN A33999 596 35 the the DT A33999 596 36 Winter Winter NNP A33999 596 37 Tropick Tropick NNP A33999 596 38 , , , A33999 596 39 and and CC A33999 596 40 K k NN A33999 596 41 for for IN A33999 596 42 the the DT A33999 596 43 Summer Summer NNP A33999 596 44 Tropick Tropick NNP A33999 596 45 , , , A33999 596 46 through through IN A33999 596 47 which which WDT A33999 596 48 the the DT A33999 596 49 Circles circle NNS A33999 596 50 that that WDT A33999 596 51 represent represent VBP A33999 596 52 them -PRON- PRP A33999 596 53 are be VBP A33999 596 54 to to TO A33999 596 55 pass pass VB A33999 596 56 , , , A33999 596 57 to to TO A33999 596 58 finde finde VB A33999 596 59 the the DT A33999 596 60 Semidiameters Semidiameters NNPS A33999 596 61 whereof whereof NN A33999 596 62 , , , A33999 596 63 set set VBD A33999 596 64 off off RP A33999 596 65 their -PRON- PRP$ A33999 596 66 depression depression NN A33999 596 67 from from IN A33999 596 68 N n NN A33999 596 69 towards towards IN A33999 596 70 E e NN A33999 596 71 , , , A33999 596 72 thus thus RB A33999 596 73 14d 14d NNS A33999 596 74 57′ 57′ CD A33999 596 75 the the DT A33999 596 76 depression depression NN A33999 596 77 of of IN A33999 596 78 the the DT A33999 596 79 Summer Summer NNP A33999 596 80 Tropick Tropick NNP A33999 596 81 terminates terminate NNS A33999 596 82 at at IN A33999 596 83 O o NN A33999 596 84 , , , A33999 596 85 a a DT A33999 596 86 Ruler ruler NN A33999 596 87 laid lay VBN A33999 596 88 from from IN A33999 596 89 E e NN A33999 596 90 to to IN A33999 596 91 ☉ ☉ NNS A33999 596 92 , , , A33999 596 93 findes find VBZ A33999 596 94 the the DT A33999 596 95 point point NN A33999 596 96 X X NNS A33999 596 97 in in IN A33999 596 98 the the DT A33999 596 99 meridian meridian JJ A33999 596 100 SZN SZN NNP A33999 596 101 produced produce VBD A33999 596 102 , , , A33999 596 103 so so RB A33999 596 104 is be VBZ A33999 596 105 XK XK NNP A33999 596 106 the the DT A33999 596 107 Diameter Diameter NNP A33999 596 108 of of IN A33999 596 109 the the DT A33999 596 110 Summer Summer NNP A33999 596 111 Tropick Tropick NNP A33999 596 112 , , , A33999 596 113 which which WDT A33999 596 114 being be VBG A33999 596 115 divided divide VBN A33999 596 116 into into IN A33999 596 117 halfs halfs NNP A33999 596 118 , , , A33999 596 119 will will MD A33999 596 120 finde finde VB A33999 596 121 the the DT A33999 596 122 Center Center NNP A33999 596 123 thereof thereof RB A33999 596 124 whereon whereon NN A33999 596 125 to to TO A33999 596 126 describe describe VB A33999 596 127 it -PRON- PRP A33999 596 128 . . . A33999 597 1 In in IN A33999 597 2 like like JJ A33999 597 3 manner manner NN A33999 597 4 is be VBZ A33999 597 5 the the DT A33999 597 6 Diameter Diameter NNP A33999 597 7 of of IN A33999 597 8 the the DT A33999 597 9 Winter Winter NNP A33999 597 10 Tropick Tropick NNP A33999 597 11 to to TO A33999 597 12 be be VB A33999 597 13 found find VBN A33999 597 14 ; ; : A33999 597 15 or or CC A33999 597 16 if if IN A33999 597 17 the the DT A33999 597 18 Amplitude Amplitude NNP A33999 597 19 be be VB A33999 597 20 given give VBN A33999 597 21 ( ( -LRB- A33999 597 22 or or CC A33999 597 23 found find VBN A33999 597 24 as as IN A33999 597 25 elsewhere elsewhere RB A33999 597 26 is be VBZ A33999 597 27 shewed shew VBN A33999 597 28 ) ) -RRB- A33999 597 29 which which WDT A33999 597 30 at at IN A33999 597 31 London London NNP A33999 597 32 is be VBZ A33999 597 33 39d 39d CD A33999 597 34 54′ 54′ CD A33999 597 35 , , , A33999 597 36 and and CC A33999 597 37 set set VBD A33999 597 38 off off RP A33999 597 39 both both DT A33999 597 40 ways way NNS A33999 597 41 from from IN A33999 597 42 G g NN A33999 597 43 and and CC A33999 597 44 E E NNP A33999 597 45 we -PRON- PRP A33999 597 46 shall shall MD A33999 597 47 have have VB A33999 597 48 three three CD A33999 597 49 points point NNS A33999 597 50 given give VBN A33999 597 51 through through IN A33999 597 52 which which WDT A33999 597 53 to to TO A33999 597 54 draw draw VB A33999 597 55 each each DT A33999 597 56 Tropick Tropick NNP A33999 597 57 , , , A33999 597 58 and and CC A33999 597 59 the the DT A33999 597 60 Centers Centers NNPS A33999 597 61 falling fall VBG A33999 597 62 in in IN A33999 597 63 the the DT A33999 597 64 Meridian Meridian NNP A33999 597 65 Line Line NNP A33999 597 66 will will MD A33999 597 67 be be VB A33999 597 68 found find VBN A33999 597 69 with with IN A33999 597 70 half half PDT A33999 597 71 the the DT A33999 597 72 trouble trouble NN A33999 597 73 , , , A33999 597 74 as as IN A33999 597 75 to to TO A33999 597 76 finde finde NNP A33999 597 77 a a DT A33999 597 78 Center Center NNP A33999 597 79 to to IN A33999 597 80 three three CD A33999 597 81 Points point NNS A33999 597 82 . . . A33999 598 1 Also also RB A33999 598 2 Project Project NNP A33999 598 3 the the DT A33999 598 4 Pole Pole NNP A33999 598 5 Point Point NNP A33999 598 6 P P NNP A33999 598 7 as as IN A33999 598 8 before before RB A33999 598 9 , , , A33999 598 10 being be VBG A33999 598 11 thus thus RB A33999 598 12 prepared prepare VBN A33999 598 13 FKG FKG NNP A33999 598 14 will will MD A33999 598 15 represent represent VB A33999 598 16 the the DT A33999 598 17 Summer summer NN A33999 598 18 and and CC A33999 598 19 HLI HLI NNP A33999 598 20 the the DT A33999 598 21 Winter Winter NNP A33999 598 22 Tropick Tropick NNP A33999 598 23 . . . A33999 599 1 Let let VB A33999 599 2 it -PRON- PRP A33999 599 3 be be VB A33999 599 4 required require VBN A33999 599 5 to to TO A33999 599 6 know know VB A33999 599 7 what what WP A33999 599 8 hours hour NNS A33999 599 9 are be VBP A33999 599 10 proper proper JJ A33999 599 11 for for IN A33999 599 12 a a DT A33999 599 13 South south JJ A33999 599 14 plain plain JJ A33999 599 15 Declining declining NN A33999 599 16 30d 30d NNS A33999 599 17 Eastwards eastward NNS A33999 599 18 , , , A33999 599 19 through through IN A33999 599 20 the the DT A33999 599 21 three three CD A33999 599 22 points point NNS A33999 599 23 BPA BPA NNP A33999 599 24 describe describe VBP A33999 599 25 the the DT A33999 599 26 the the DT A33999 599 27 Arch Arch NNP A33999 599 28 of of IN A33999 599 29 a a DT A33999 599 30 Circle Circle NNP A33999 599 31 BQP BQP NNP A33999 599 32 , , , A33999 599 33 then then RB A33999 599 34 laying lay VBG A33999 599 35 a a DT A33999 599 36 Ruler ruler NN A33999 599 37 from from IN A33999 599 38 B b NN A33999 599 39 to to IN A33999 599 40 Q Q NNP A33999 599 41 , , , A33999 599 42 finde finde IN A33999 599 43 the the DT A33999 599 44 point point NN A33999 599 45 R r NN A33999 599 46 in in IN A33999 599 47 the the DT A33999 599 48 Limbe Limbe NNP A33999 599 49 , , , A33999 599 50 and and CC A33999 599 51 from from IN A33999 599 52 it -PRON- PRP A33999 599 53 set set VBD A33999 599 54 off off RP A33999 599 55 a a DT A33999 599 56 Quadrant quadrant NN A33999 599 57 to to IN A33999 599 58 M M NNP A33999 599 59 , , , A33999 599 60 then then RB A33999 599 61 a a DT A33999 599 62 Ruler ruler NN A33999 599 63 laid lay VBN A33999 599 64 from from IN A33999 599 65 B b NN A33999 599 66 to to IN A33999 599 67 M m NN A33999 599 68 findes find VBZ A33999 599 69 the the DT A33999 599 70 point point NN A33999 599 71 ☉ ☉ VBZ A33999 599 72 the the DT A33999 599 73 Pole Pole NNP A33999 599 74 of of IN A33999 599 75 the the DT A33999 599 76 hour hour NN A33999 599 77 Circle Circle NNP A33999 599 78 BQP BQP NNP A33999 599 79 , , , A33999 599 80 then then RB A33999 599 81 laying lay VBG A33999 599 82 a a DT A33999 599 83 Ruler ruler NN A33999 599 84 from from IN A33999 599 85 P p NN A33999 599 86 to to IN A33999 599 87 ☉ ☉ NNP A33999 599 88 , , , A33999 599 89 it -PRON- PRP A33999 599 90 findes find VBZ A33999 599 91 the the DT A33999 599 92 point point NN A33999 599 93 T t NN A33999 599 94 in in IN A33999 599 95 the the DT A33999 599 96 Limbe Limbe NNP A33999 599 97 , , , A33999 599 98 and and CC A33999 599 99 the the DT A33999 599 100 Arch Arch NNP A33999 599 101 ET ET NNP A33999 599 102 being be VBG A33999 599 103 65d 65d NNS A33999 599 104 40′ 40′ CD A33999 599 105 is be VBZ A33999 599 106 the the DT A33999 599 107 measure measure NN A33999 599 108 of of IN A33999 599 109 the the DT A33999 599 110 Angle Angle NNP A33999 599 111 BPS BPS NNP A33999 599 112 , , , A33999 599 113 which which WDT A33999 599 114 turned turn VBD A33999 599 115 into into IN A33999 599 116 Time Time NNP A33999 599 117 is be VBZ A33999 599 118 4 4 CD A33999 599 119 ho ho IN A33999 599 120 . . . A33999 600 1 23′ 23′ CD A33999 600 2 prope prope NNP A33999 600 3 , , , A33999 600 4 and and CC A33999 600 5 sheweth sheweth VB A33999 600 6 that that IN A33999 600 7 at at IN A33999 600 8 no no DT A33999 600 9 time time NN A33999 600 10 of of IN A33999 600 11 the the DT A33999 600 12 year year NN A33999 600 13 the the DT A33999 600 14 Sun Sun NNP A33999 600 15 will will MD A33999 600 16 shine shine VB A33999 600 17 longer long RBR A33999 600 18 on on IN A33999 600 19 the the DT A33999 600 20 South South NNP A33999 600 21 side side NN A33999 600 22 of of IN A33999 600 23 this this DT A33999 600 24 plain plain NN A33999 600 25 , , , A33999 600 26 then then RB A33999 600 27 23 23 CD A33999 600 28 minutes minute NNS A33999 600 29 past past IN A33999 600 30 4 4 CD A33999 600 31 in in IN A33999 600 32 the the DT A33999 600 33 afternoon afternoon NN A33999 600 34 . . . A33999 601 1 In in IN A33999 601 2 like like JJ A33999 601 3 manner manner NN A33999 601 4 if if IN A33999 601 5 the the DT A33999 601 6 Arch Arch NNP A33999 601 7 of of IN A33999 601 8 a a DT A33999 601 9 Circle Circle NNP A33999 601 10 be be VB A33999 601 11 drawn draw VBN A33999 601 12 through through IN A33999 601 13 the the DT A33999 601 14 two two CD A33999 601 15 points point NNS A33999 601 16 PV PV NNP A33999 601 17 , , , A33999 601 18 we -PRON- PRP A33999 601 19 may may MD A33999 601 20 finde finde VB A33999 601 21 the the DT A33999 601 22 time time NN A33999 601 23 when when WRB A33999 601 24 the the DT A33999 601 25 Sun Sun NNP A33999 601 26 will will MD A33999 601 27 soonest soonest VB A33999 601 28 in in IN A33999 601 29 the the DT A33999 601 30 morning morning NN A33999 601 31 begin begin VBP A33999 601 32 to to TO A33999 601 33 shine shine VB A33999 601 34 on on IN A33999 601 35 the the DT A33999 601 36 South South NNP A33999 601 37 side side NN A33999 601 38 of of IN A33999 601 39 this this DT A33999 601 40 plain plain NN A33999 601 41 . . . A33999 602 1 A a DT A33999 602 2 South south JJ A33999 602 3 plaine plaine JJ A33999 602 4 Declin Declin NNP A33999 602 5 30d 30d NNPS A33999 602 6 East East NNP A33999 602 7 lat lat NN A33999 602 8 51d 51d NNS A33999 602 9 32′ 32′ CD A33999 602 10 page page NN A33999 602 11 61 61 CD A33999 602 12 A a DT A33999 602 13 South South NNP A33999 602 14 plaine plaine JJ A33999 602 15 Declin Declin NNP A33999 602 16 60d 60d NNPS A33999 602 17 East East NNP A33999 602 18 Reclining reclining NN A33999 602 19 40d 40d CD A33999 602 20 Lat Lat NNP A33999 602 21 51 51 CD A33999 602 22 - - SYM A33999 602 23 32′ 32′ CD A33999 602 24 So so RB A33999 602 25 if if IN A33999 602 26 there there EX A33999 602 27 were be VBD A33999 602 28 a a DT A33999 602 29 South South NNP A33999 602 30 plain plain JJ A33999 602 31 Declining declining NN A33999 602 32 60d 60d NNS A33999 602 33 Eastwards eastward NNS A33999 602 34 , , , A33999 602 35 Reclining recline VBG A33999 602 36 40 40 CD A33999 602 37 degrees degree NNS A33999 602 38 here here RB A33999 602 39 represented represent VBN A33999 602 40 by by IN A33999 602 41 BRA BRA NNP A33999 602 42 , , , A33999 602 43 if if IN A33999 602 44 it -PRON- PRP A33999 602 45 were be VBD A33999 602 46 required require VBN A33999 602 47 to to TO A33999 602 48 know know VB A33999 602 49 what what WP A33999 602 50 hours hour NNS A33999 602 51 are be VBP A33999 602 52 proper proper JJ A33999 602 53 for for IN A33999 602 54 the the DT A33999 602 55 upper upper JJ A33999 602 56 , , , A33999 602 57 and and CC A33999 602 58 what what WP A33999 602 59 for for IN A33999 602 60 the the DT A33999 602 61 under under JJ A33999 602 62 face face NN A33999 602 63 , , , A33999 602 64 then then RB A33999 602 65 where where WRB A33999 602 66 the the DT A33999 602 67 plain plain NN A33999 602 68 intersects intersect VBZ A33999 602 69 the the DT A33999 602 70 Tropicks Tropicks NNPS A33999 602 71 as as IN A33999 602 72 at at IN A33999 602 73 I -PRON- PRP A33999 602 74 and and CC A33999 602 75 K K NNP A33999 602 76 , , , A33999 602 77 draw draw VB A33999 602 78 two two CD A33999 602 79 Meridians Meridians NNPS A33999 602 80 into into IN A33999 602 81 the the DT A33999 602 82 Pole Pole NNP A33999 602 83 at at IN A33999 602 84 P p NN A33999 602 85 , , , A33999 602 86 to to IN A33999 602 87 wit wit NN A33999 602 88 , , , A33999 602 89 IP IP NNP A33999 602 90 and and CC A33999 602 91 KP KP NNP A33999 602 92 , , , A33999 602 93 and and CC A33999 602 94 first first RB A33999 602 95 finde finde NN A33999 602 96 the the DT A33999 602 97 Angle Angle NNP A33999 602 98 IPZ IPZ NNP A33999 602 99 , , , A33999 602 100 as as IN A33999 602 101 was be VBD A33999 602 102 before before IN A33999 602 103 shewed shew VBN A33999 602 104 , , , A33999 602 105 to to IN A33999 602 106 wit wit NN A33999 602 107 , , , A33999 602 108 53d 53d NNP A33999 602 109 14′ 14′ CD A33999 602 110 which which WDT A33999 602 111 in in IN A33999 602 112 time time NN A33999 602 113 is be VBZ A33999 602 114 3 3 CD A33999 602 115 hours hour NNS A33999 602 116 33 33 CD A33999 602 117 minuutes minuute NNS A33999 602 118 , , , A33999 602 119 shewing shew VBG A33999 602 120 that that IN A33999 602 121 the the DT A33999 602 122 Sun Sun NNP A33999 602 123 never never RB A33999 602 124 shines shine VBZ A33999 602 125 longer long RBR A33999 602 126 on on IN A33999 602 127 the the DT A33999 602 128 upper upper JJ A33999 602 129 face face NN A33999 602 130 of of IN A33999 602 131 the the DT A33999 602 132 Plain Plain NNP A33999 602 133 , , , A33999 602 134 then then RB A33999 602 135 33 33 CD A33999 602 136 minutes minute NNS A33999 602 137 past past IN A33999 602 138 3 3 CD A33999 602 139 in in IN A33999 602 140 the the DT A33999 602 141 afternoon afternoon NN A33999 602 142 , , , A33999 602 143 which which WDT A33999 602 144 is be VBZ A33999 602 145 capable capable JJ A33999 602 146 of of IN A33999 602 147 receiving receive VBG A33999 602 148 all all DT A33999 602 149 hours hour NNS A33999 602 150 from from IN A33999 602 151 Sun Sun NNP A33999 602 152 rising rise VBG A33999 602 153 to to IN A33999 602 154 that that DT A33999 602 155 period period NN A33999 602 156 of of IN A33999 602 157 time time NN A33999 602 158 , , , A33999 602 159 and and CC A33999 602 160 the the DT A33999 602 161 Angle Angle NNP A33999 602 162 KPZ KPZ NNP A33999 602 163 , , , A33999 602 164 to to IN A33999 602 165 wit wit NN A33999 602 166 , , , A33999 602 167 39d 39d NNS A33999 602 168 50′ 50′ CD A33999 602 169 in in IN A33999 602 170 time time NN A33999 602 171 2 2 CD A33999 602 172 hours hour NNS A33999 602 173 39 39 CD A33999 602 174 minutes minute NNS A33999 602 175 , , , A33999 602 176 shews shew VBZ A33999 602 177 that that IN A33999 602 178 the the DT A33999 602 179 Sun Sun NNP A33999 602 180 never never RB A33999 602 181 begins begin VBZ A33999 602 182 to to TO A33999 602 183 shine shine VB A33999 602 184 sooner soon RBR A33999 602 185 on on IN A33999 602 186 the the DT A33999 602 187 under under JJ A33999 602 188 face face NN A33999 602 189 then then RB A33999 602 190 39 39 CD A33999 602 191 minutes minute NNS A33999 602 192 past past IN A33999 602 193 2 2 CD A33999 602 194 in in IN A33999 602 195 the the DT A33999 602 196 afternoon afternoon NN A33999 602 197 after after RB A33999 602 198 , , , A33999 602 199 which which WDT A33999 602 200 all all PDT A33999 602 201 the the DT A33999 602 202 hours hour NNS A33999 602 203 to to IN A33999 602 204 Sun Sun NNP A33999 602 205 - - HYPH A33999 602 206 set set NNP A33999 602 207 may may MD A33999 602 208 be be VB A33999 602 209 expressed express VBN A33999 602 210 . . . A33999 603 1 To to TO A33999 603 2 finde finde VB A33999 603 3 these these DT A33999 603 4 Arks Arks NNP A33999 603 5 of of IN A33999 603 6 time time NN A33999 603 7 by by IN A33999 603 8 Calculation Calculation NNP A33999 603 9 , , , A33999 603 10 there there EX A33999 603 11 must must MD A33999 603 12 be be VB A33999 603 13 given give VBN A33999 603 14 the the DT A33999 603 15 Stiles Stiles NNPS A33999 603 16 height height NN A33999 603 17 above above IN A33999 603 18 the the DT A33999 603 19 Plain Plain NNP A33999 603 20 15d 15d CD A33999 603 21 22′ 22′ CD A33999 603 22 , , , A33999 603 23 PH PH NNP A33999 603 24 , , , A33999 603 25 and and CC A33999 603 26 the the DT A33999 603 27 complement complement NN A33999 603 28 of of IN A33999 603 29 the the DT A33999 603 30 Inclination Inclination NNP A33999 603 31 of of IN A33999 603 32 Meridians Meridians NNPS A33999 603 33 to to IN A33999 603 34 a a DT A33999 603 35 Semicircle Semicircle NNP A33999 603 36 , , , A33999 603 37 136d 136d VBZ A33999 603 38 32′ 32′ CD A33999 603 39 , , , A33999 603 40 to to IN A33999 603 41 wit wit NN A33999 603 42 , , , A33999 603 43 HPS HPS NNP A33999 603 44 , , , A33999 603 45 then then RB A33999 603 46 in in IN A33999 603 47 the the DT A33999 603 48 right right NN A33999 603 49 Angled Angled NNP A33999 603 50 Triangle Triangle NNP A33999 603 51 PHI PHI NNP A33999 603 52 there there EX A33999 603 53 is be VBZ A33999 603 54 given give VBN A33999 603 55 PH PH NNP A33999 603 56 the the DT A33999 603 57 Stiles Stiles NNP A33999 603 58 height height NN A33999 603 59 , , , A33999 603 60 PI PI NNP A33999 603 61 the the DT A33999 603 62 complement complement NN A33999 603 63 of of IN A33999 603 64 the the DT A33999 603 65 Declination Declination NNP A33999 603 66 , , , A33999 603 67 besides besides IN A33999 603 68 the the DT A33999 603 69 right right JJ A33999 603 70 Angle angle NN A33999 603 71 at at IN A33999 603 72 H h NN A33999 603 73 , , , A33999 603 74 to to TO A33999 603 75 finde finde VB A33999 603 76 the the DT A33999 603 77 Angle Angle NNP A33999 603 78 IPH IPH NNP A33999 603 79 83d 83d CD A33999 603 80 18′ 18′ CD A33999 603 81 which which WDT A33999 603 82 taken take VBN A33999 603 83 from from IN A33999 603 84 the the DT A33999 603 85 complement complement NN A33999 603 86 of of IN A33999 603 87 the the DT A33999 603 88 Inclination Inclination NNP A33999 603 89 of of IN A33999 603 90 Meridians Meridians NNPS A33999 603 91 HPS HPS NNP A33999 603 92 , , , A33999 603 93 there there EX A33999 603 94 rests rest VBZ A33999 603 95 the the DT A33999 603 96 Angle Angle NNP A33999 603 97 IPS IPS NNP A33999 603 98 the the DT A33999 603 99 Arch Arch NNP A33999 603 100 of of IN A33999 603 101 time time NN A33999 603 102 sought seek VBD A33999 603 103 , , , A33999 603 104 to to IN A33999 603 105 wit wit NN A33999 603 106 , , , A33999 603 107 53d 53d CD A33999 603 108 14′ 14′ CD A33999 603 109 . . . A33999 604 1 The the DT A33999 604 2 ascensional ascensional JJ A33999 604 3 difference difference NN A33999 604 4 may may MD A33999 604 5 be be VB A33999 604 6 found find VBN A33999 604 7 by by IN A33999 604 8 drawing draw VBG A33999 604 9 the the DT A33999 604 10 Arch Arch NNP A33999 604 11 of of IN A33999 604 12 a a DT A33999 604 13 Circle Circle NNP A33999 604 14 through through IN A33999 604 15 the the DT A33999 604 16 three three CD A33999 604 17 points point NNS A33999 604 18 TPF TPF NNP A33999 604 19 , , , A33999 604 20 and and CC A33999 604 21 thereby thereby RB A33999 604 22 the the DT A33999 604 23 length length NN A33999 604 24 of of IN A33999 604 25 the the DT A33999 604 26 longest long JJS A33999 604 27 day day NN A33999 604 28 determined determine VBD A33999 604 29 that that IN A33999 604 30 no no DT A33999 604 31 hours hour NNS A33999 604 32 be be VB A33999 604 33 expressed express VBN A33999 604 34 , , , A33999 604 35 on on IN A33999 604 36 which which WDT A33999 604 37 the the DT A33999 604 38 Sun Sun NNP A33999 604 39 can can MD A33999 604 40 never never RB A33999 604 41 shine shine VB A33999 604 42 . . . A33999 605 1 Another another DT A33999 605 2 manner manner NN A33999 605 3 of of IN A33999 605 4 Inscribing inscribe VBG A33999 605 5 the the DT A33999 605 6 hour hour NN A33999 605 7 - - HYPH A33999 605 8 lines line NNS A33999 605 9 in in IN A33999 605 10 all all DT A33999 605 11 Plains plain NNS A33999 605 12 having have VBG A33999 605 13 Centers Centers NNPS A33999 605 14 . . . A33999 606 1 The the DT A33999 606 2 method method NN A33999 606 3 here here RB A33999 606 4 intended intend VBD A33999 606 5 , , , A33999 606 6 is be VBZ A33999 606 7 to to TO A33999 606 8 do do VB A33999 606 9 it -PRON- PRP A33999 606 10 in in IN A33999 606 11 a a DT A33999 606 12 parallelogram parallelogram NN A33999 606 13 from from IN A33999 606 14 the the DT A33999 606 15 Meridian meridian JJ A33999 606 16 line line NN A33999 606 17 , , , A33999 606 18 whence whence NN A33999 606 19 the the DT A33999 606 20 hour hour NN A33999 606 21 - - HYPH A33999 606 22 lines line NNS A33999 606 23 may may MD A33999 606 24 be be VB A33999 606 25 prickt prickt NNS A33999 606 26 down down RP A33999 606 27 by by IN A33999 606 28 a a DT A33999 606 29 Tangent tangent NN A33999 606 30 of of IN A33999 606 31 three three CD A33999 606 32 hours hour NNS A33999 606 33 , , , A33999 606 34 with with IN A33999 606 35 their -PRON- PRP$ A33999 606 36 halfs half NNS A33999 606 37 and and CC A33999 606 38 quarters quarter NNS A33999 606 39 from from IN A33999 606 40 a a DT A33999 606 41 Sector sector NN A33999 606 42 , , , A33999 606 43 without without IN A33999 606 44 collecting collect VBG A33999 606 45 Angles angle NNS A33999 606 46 at at IN A33999 606 47 the the DT A33999 606 48 Pole Pole NNP A33999 606 49 , , , A33999 606 50 or or CC A33999 606 51 by by IN A33999 606 52 help help NN A33999 606 53 of of IN A33999 606 54 a a DT A33999 606 55 Scheam Scheam NNP A33999 606 56 which which WDT A33999 606 57 I -PRON- PRP A33999 606 58 call call VBP A33999 606 59 the the DT A33999 606 60 Tangent Tangent NNP A33999 606 61 Scheam Scheam NNP A33999 606 62 , , , A33999 606 63 the the DT A33999 606 64 foundation foundation NN A33999 606 65 of of IN A33999 606 66 this this DT A33999 606 67 Dyalling dyalle VBG A33999 606 68 supposeth supposeth NN A33999 606 69 the the DT A33999 606 70 Axis Axis NNP A33999 606 71 of of IN A33999 606 72 the the DT A33999 606 73 world world NN A33999 606 74 to to TO A33999 606 75 be be VB A33999 606 76 inscribed inscribe VBN A33999 606 77 in in IN A33999 606 78 a a DT A33999 606 79 Parallelipiped Parallelipiped NNP A33999 606 80 on on IN A33999 606 81 continued continue VBN A33999 606 82 about about IN A33999 606 83 the the DT A33999 606 84 Axis Axis NNP A33999 606 85 , , , A33999 606 86 the the DT A33999 606 87 sides side NNS A33999 606 88 whereof whereof MD A33999 606 89 are be VBP A33999 606 90 by by IN A33999 606 91 the the DT A33999 606 92 plains plain NNS A33999 606 93 of of IN A33999 606 94 the the DT A33999 606 95 respective respective JJ A33999 606 96 hour hour NN A33999 606 97 Circles circle NNS A33999 606 98 in in IN A33999 606 99 the the DT A33999 606 100 Sphere Sphere NNP A33999 606 101 divided divide VBN A33999 606 102 into into IN A33999 606 103 Tangent Tangent NNP A33999 606 104 - - HYPH A33999 606 105 lines line NNS A33999 606 106 , , , A33999 606 107 that that DT A33999 606 108 is be VBZ A33999 606 109 to to TO A33999 606 110 say say VB A33999 606 111 , , , A33999 606 112 each each DT A33999 606 113 side side NN A33999 606 114 is be VBZ A33999 606 115 divided divide VBN A33999 606 116 into into IN A33999 606 117 a a DT A33999 606 118 double double JJ A33999 606 119 tangent tangent NN A33999 606 120 of of IN A33999 606 121 45d 45d CD A33999 606 122 set set VBN A33999 606 123 together together RB A33999 606 124 in in IN A33999 606 125 the the DT A33999 606 126 middle middle NN A33999 606 127 , , , A33999 606 128 and and CC A33999 606 129 the the DT A33999 606 130 said say VBD A33999 606 131 parallelipiped parallelipipe VBD A33999 606 132 on on IN A33999 606 133 being be VBG A33999 606 134 cut cut VBN A33999 606 135 by by IN A33999 606 136 any any DT A33999 606 137 Plain Plain NNP A33999 606 138 , , , A33999 606 139 the the DT A33999 606 140 end end NN A33999 606 141 thereof thereof RB A33999 606 142 supposed suppose VBD A33999 606 143 to to TO A33999 606 144 be be VB A33999 606 145 intersected intersect VBN A33999 606 146 , , , A33999 606 147 shal shal NNS A33999 606 148 be be VBP A33999 606 149 either either CC A33999 606 150 a a DT A33999 606 151 right right JJ A33999 606 152 or or CC A33999 606 153 Oblique Oblique NNP A33999 606 154 Angled Angled NNP A33999 606 155 parallelogram parallelogram NN A33999 606 156 , , , A33999 606 157 and and CC A33999 606 158 then then RB A33999 606 159 if if IN A33999 606 160 from from IN A33999 606 161 the the DT A33999 606 162 opposite opposite JJ A33999 606 163 tangent tangent NN A33999 606 164 hour hour NN A33999 606 165 points point NNS A33999 606 166 on on IN A33999 606 167 the the DT A33999 606 168 sides side NNS A33999 606 169 of of IN A33999 606 170 the the DT A33999 606 171 intersected intersected JJ A33999 606 172 parallelipipedon parallelipipedon NN A33999 606 173 , , , A33999 606 174 lines line NNS A33999 606 175 be be VBP A33999 606 176 drawn draw VBN A33999 606 177 on on IN A33999 606 178 the the DT A33999 606 179 Plain Plain NNP A33999 606 180 , , , A33999 606 181 they -PRON- PRP A33999 606 182 shall shall MD A33999 606 183 cross cross VB A33999 606 184 one one CD A33999 606 185 another another DT A33999 606 186 in in IN A33999 606 187 a a DT A33999 606 188 Center Center NNP A33999 606 189 , , , A33999 606 190 and and CC A33999 606 191 be be VB A33999 606 192 the the DT A33999 606 193 hour hour NN A33999 606 194 - - HYPH A33999 606 195 lines line NNS A33999 606 196 proper proper JJ A33999 606 197 to to IN A33999 606 198 the the DT A33999 606 199 said say VBN A33999 606 200 plain plain JJ A33999 606 201 , , , A33999 606 202 but but CC A33999 606 203 of of IN A33999 606 204 the the DT A33999 606 205 Demonstration Demonstration NNP A33999 606 206 hereof hereof NN A33999 606 207 , , , A33999 606 208 I -PRON- PRP A33999 606 209 shall shall MD A33999 606 210 say say VB A33999 606 211 no no DT A33999 606 212 more more JJR A33999 606 213 at at IN A33999 606 214 present present JJ A33999 606 215 , , , A33999 606 216 the the DT A33999 606 217 inquisitive inquisitive JJ A33999 606 218 Reader reader NN A33999 606 219 will will MD A33999 606 220 finde finde VB A33999 606 221 it -PRON- PRP A33999 606 222 in in IN A33999 606 223 the the DT A33999 606 224 Works work NNS A33999 606 225 of of IN A33999 606 226 Clavius Clavius NNP A33999 606 227 . . . A33999 607 1 To to TO A33999 607 2 draw draw VB A33999 607 3 the the DT A33999 607 4 Tangent Tangent NNP A33999 607 5 Scheam Scheam NNP A33999 607 6 . . . A33999 608 1 I -PRON- PRP A33999 608 2 have have VBP A33999 608 3 before before IN A33999 608 4 in in IN A33999 608 5 Page page NN A33999 608 6 10 10 CD A33999 608 7 shewed shew VBD A33999 608 8 how how WRB A33999 608 9 to to TO A33999 608 10 divide divide VB A33999 608 11 a a DT A33999 608 12 Tangent Tangent NNP A33999 608 13 Line line NN A33999 608 14 into into IN A33999 608 15 hours hour NNS A33999 608 16 and and CC A33999 608 17 quarters quarter NNS A33999 608 18 , , , A33999 608 19 which which WDT A33999 608 20 in in IN A33999 608 21 part part NN A33999 608 22 must must MD A33999 608 23 be be VB A33999 608 24 here here RB A33999 608 25 repeated repeat VBN A33999 608 26 ; ; : A33999 608 27 draw draw VB A33999 608 28 any any DT A33999 608 29 right right JJ A33999 608 30 Line Line NNP A33999 608 31 , , , A33999 608 32 as as IN A33999 608 33 MABH MABH NNP A33999 608 34 , , , A33999 608 35 from from IN A33999 608 36 any any DT A33999 608 37 point point NN A33999 608 38 therein therein RB A33999 608 39 as as IN A33999 608 40 at at IN A33999 608 41 B b NN A33999 608 42 , , , A33999 608 43 raise raise VB A33999 608 44 a a DT A33999 608 45 perpendicular perpendicular NN A33999 608 46 , , , A33999 608 47 and and CC A33999 608 48 upon upon IN A33999 608 49 B B NNP A33999 608 50 as as IN A33999 608 51 a a DT A33999 608 52 Center Center NNP A33999 608 53 , , , A33999 608 54 describe describe VB A33999 608 55 the the DT A33999 608 56 Quadrant Quadrant NNP A33999 608 57 CH CH NNP A33999 608 58 , , , A33999 608 59 and and CC A33999 608 60 prick prick VB A33999 608 61 the the DT A33999 608 62 Radius Radius NNP A33999 608 63 from from IN A33999 608 64 B b NN A33999 608 65 to to IN A33999 608 66 A a NN A33999 608 67 , , , A33999 608 68 from from IN A33999 608 69 C c NN A33999 608 70 to to IN A33999 608 71 G g NN A33999 608 72 , , , A33999 608 73 from from IN A33999 608 74 H h NN A33999 608 75 to to IN A33999 608 76 F F NNP A33999 608 77 , , , A33999 608 78 and and CC A33999 608 79 laying lay VBG A33999 608 80 a a DT A33999 608 81 Ruler ruler NN A33999 608 82 from from IN A33999 608 83 A a NN A33999 608 84 to to IN A33999 608 85 F F NNP A33999 608 86 , , , A33999 608 87 and and CC A33999 608 88 G g NN A33999 608 89 , , , A33999 608 90 you -PRON- PRP A33999 608 91 will will MD A33999 608 92 finde finde VB A33999 608 93 the the DT A33999 608 94 points point NNS A33999 608 95 D D NNP A33999 608 96 and and CC A33999 608 97 E e NN A33999 608 98 upon upon IN A33999 608 99 the the DT A33999 608 100 perpendicular perpendicular JJ A33999 608 101 CB CB NNP A33999 608 102 , , , A33999 608 103 I -PRON- PRP A33999 608 104 say say VBP A33999 608 105 the the DT A33999 608 106 said say VBN A33999 608 107 perpendicular perpendicular NN A33999 608 108 is be VBZ A33999 608 109 divided divide VBN A33999 608 110 into into IN A33999 608 111 a a DT A33999 608 112 Tangent Tangent NNP A33999 608 113 line line NN A33999 608 114 of of IN A33999 608 115 three three CD A33999 608 116 hours hour NNS A33999 608 117 , , , A33999 608 118 and and CC A33999 608 119 the the DT A33999 608 120 halfs half NNS A33999 608 121 and and CC A33999 608 122 quarters quarter NNS A33999 608 123 may may MD A33999 608 124 be be VB A33999 608 125 also also RB A33999 608 126 divided divide VBN A33999 608 127 thereon thereon NN A33999 608 128 , , , A33999 608 129 by by IN A33999 608 130 dividing divide VBG A33999 608 131 the the DT A33999 608 132 Arches Arches NNP A33999 608 133 CF CF NNP A33999 608 134 , , , A33999 608 135 FG FG NNP A33999 608 136 , , , A33999 608 137 and and CC A33999 608 138 GH GH NNP A33999 608 139 into into IN A33999 608 140 halfs halfs NNP A33999 608 141 and and CC A33999 608 142 quarters quarter NNS A33999 608 143 , , , A33999 608 144 then then RB A33999 608 145 from from IN A33999 608 146 those those DT A33999 608 147 subdivisions subdivision NNS A33999 608 148 , , , A33999 608 149 laying lay VBG A33999 608 150 a a DT A33999 608 151 Ruler ruler NN A33999 608 152 to to IN A33999 608 153 A A NNP A33999 608 154 , , , A33999 608 155 the the DT A33999 608 156 halfs half NNS A33999 608 157 and and CC A33999 608 158 quarters quarter NNS A33999 608 159 may may MD A33999 608 160 be be VB A33999 608 161 divided divide VBN A33999 608 162 on on IN A33999 608 163 , , , A33999 608 164 as as IN A33999 608 165 were be VBD A33999 608 166 the the DT A33999 608 167 whole whole JJ A33999 608 168 hours hour NNS A33999 608 169 . . . A33999 609 1 Being be VBG A33999 609 2 thus thus RB A33999 609 3 prepared prepare VBN A33999 609 4 , , , A33999 609 5 draw draw VB A33999 609 6 the the DT A33999 609 7 Lines Lines NNP A33999 609 8 MB MB NNP A33999 609 9 , , , A33999 609 10 LE LE NNP A33999 609 11 , , , A33999 609 12 KD KD NNP A33999 609 13 , , , A33999 609 14 and and CC A33999 609 15 IC IC NNP A33999 609 16 , , , A33999 609 17 all all DT A33999 609 18 parallel parallel VBP A33999 609 19 one one NN A33999 609 20 to to IN A33999 609 21 another another DT A33999 609 22 , , , A33999 609 23 passing pass VBG A33999 609 24 through through IN A33999 609 25 the the DT A33999 609 26 points point NNS A33999 609 27 B B NNP A33999 609 28 , , , A33999 609 29 1 1 CD A33999 609 30 , , , A33999 609 31 2 2 CD A33999 609 32 , , , A33999 609 33 3 3 CD A33999 609 34 . . . A33999 610 1 In in IN A33999 610 2 this this DT A33999 610 3 Scheam Scheam NNP A33999 610 4 they -PRON- PRP A33999 610 5 are be VBP A33999 610 6 perpendicular perpendicular JJ A33999 610 7 to to IN A33999 610 8 BC BC NNP A33999 610 9 , , , A33999 610 10 but but CC A33999 610 11 that that DT A33999 610 12 is be VBZ A33999 610 13 not not RB A33999 610 14 material material JJ A33999 610 15 , , , A33999 610 16 provided provide VBN A33999 610 17 they -PRON- PRP A33999 610 18 pass pass VBP A33999 610 19 through through IN A33999 610 20 the the DT A33999 610 21 same same JJ A33999 610 22 points point NNS A33999 610 23 , , , A33999 610 24 and and CC A33999 610 25 are be VBP A33999 610 26 parallel parallel JJ A33999 610 27 one one CD A33999 610 28 to to IN A33999 610 29 another another DT A33999 610 30 , , , A33999 610 31 yet yet RB A33999 610 32 notwithstanding notwithstanding IN A33999 610 33 the the DT A33999 610 34 points point NNS A33999 610 35 A A NNP A33999 610 36 and and CC A33999 610 37 H h NN A33999 610 38 must must MD A33999 610 39 be be VB A33999 610 40 in in IN A33999 610 41 a a DT A33999 610 42 right right JJ A33999 610 43 Line Line NNP A33999 610 44 perpendicular perpendicular JJ A33999 610 45 to to IN A33999 610 46 CB CB NNP A33999 610 47 . . . A33999 611 1 This this DT A33999 611 2 Scheam Scheam NNP A33999 611 3 thus thus RB A33999 611 4 prepared prepare VBD A33999 611 5 , , , A33999 611 6 I -PRON- PRP A33999 611 7 call call VBP A33999 611 8 the the DT A33999 611 9 Tangent Tangent NNP A33999 611 10 Scheam Scheam NNP A33999 611 11 , , , A33999 611 12 because because IN A33999 611 13 a a DT A33999 611 14 Line Line NNP A33999 611 15 ruled rule VBD A33999 611 16 any any DT A33999 611 17 way way NN A33999 611 18 over over IN A33999 611 19 it -PRON- PRP A33999 611 20 , , , A33999 611 21 shall shall MD A33999 611 22 be be VB A33999 611 23 divided divide VBN A33999 611 24 also also RB A33999 611 25 into into IN A33999 611 26 a a DT A33999 611 27 Tangent Tangent NNP A33999 611 28 of of IN A33999 611 29 the the DT A33999 611 30 like like JJ A33999 611 31 hours hour NNS A33999 611 32 and and CC A33999 611 33 quarters quarter NNS A33999 611 34 , , , A33999 611 35 whence whence NN A33999 611 36 it -PRON- PRP A33999 611 37 follows follow VBZ A33999 611 38 that that IN A33999 611 39 one one CD A33999 611 40 of of IN A33999 611 41 these these DT A33999 611 42 Scheams Scheams NNP A33999 611 43 may may MD A33999 611 44 serve serve VB A33999 611 45 to to TO A33999 611 46 inscribe inscribe VB A33999 611 47 the the DT A33999 611 48 hour hour NN A33999 611 49 - - HYPH A33999 611 50 lines line NNS A33999 611 51 into into IN A33999 611 52 many many JJ A33999 611 53 Dyals dyal NNS A33999 611 54 , , , A33999 611 55 which which WDT A33999 611 56 I -PRON- PRP A33999 611 57 shall shall MD A33999 611 58 next next RB A33999 611 59 handle handle VB A33999 611 60 . . . A33999 612 1 To to TO A33999 612 2 inscribe inscribe VB A33999 612 3 the the DT A33999 612 4 Hour Hour NNP A33999 612 5 lines line NNS A33999 612 6 in in IN A33999 612 7 a a DT A33999 612 8 Horizontal Horizontal NNP A33999 612 9 Dyal Dyal NNP A33999 612 10 . . . A33999 613 1 Having have VBG A33999 613 2 drawn draw VBN A33999 613 3 the the DT A33999 613 4 Meridian meridian JJ A33999 613 5 line line NN A33999 613 6 M M NNP A33999 613 7 , , , A33999 613 8 XII XII NNP A33999 613 9 , , , A33999 613 10 and and CC A33999 613 11 perpendicular perpendicular JJ A33999 613 12 thereto thereto NN A33999 613 13 the the DT A33999 613 14 hour hour NN A33999 613 15 - - HYPH A33999 613 16 line line NN A33999 613 17 of of IN A33999 613 18 six six CD A33999 613 19 , , , A33999 613 20 Let let VB A33999 613 21 it -PRON- PRP A33999 613 22 be be VB A33999 613 23 observed observe VBN A33999 613 24 that that IN A33999 613 25 the the DT A33999 613 26 sides side NNS A33999 613 27 of of IN A33999 613 28 the the DT A33999 613 29 Horizontal Horizontal NNP A33999 613 30 Dyal Dyal NNP A33999 613 31 in in IN A33999 613 32 page page NN A33999 613 33 8 8 CD A33999 613 34 . . . A33999 613 35 to to TO A33999 613 36 wit wit VB A33999 613 37 VI VI NNP A33999 613 38 , , , A33999 613 39 IX IX NNP A33999 613 40 , , , A33999 613 41 and and CC A33999 613 42 VI VI NNP A33999 613 43 , , , A33999 613 44 III III NNP A33999 613 45 and and CC A33999 613 46 IX IX NNP A33999 613 47 , , , A33999 613 48 III III NNP A33999 613 49 , , , A33999 613 50 are be VBP A33999 613 51 a a DT A33999 613 52 right right JJ A33999 613 53 Angled Angled NNP A33999 613 54 Parallelogram Parallelogram NNP A33999 613 55 , , , A33999 613 56 the the DT A33999 613 57 one one CD A33999 613 58 side side NN A33999 613 59 whereof whereof IN A33999 613 60 being be VBG A33999 613 61 the the DT A33999 613 62 Diameter Diameter NNP A33999 613 63 of of IN A33999 613 64 the the DT A33999 613 65 Circle Circle NNP A33999 613 66 being be VBG A33999 613 67 Radius Radius NNP A33999 613 68 , , , A33999 613 69 the the DT A33999 613 70 other other JJ A33999 613 71 side side NN A33999 613 72 thereof thereof RB A33999 613 73 must must MD A33999 613 74 be be VB A33999 613 75 made make VBN A33999 613 76 equal equal JJ A33999 613 77 to to IN A33999 613 78 the the DT A33999 613 79 Sine Sine NNP A33999 613 80 of of IN A33999 613 81 the the DT A33999 613 82 Latitude Latitude NNP A33999 613 83 , , , A33999 613 84 in in IN A33999 613 85 that that DT A33999 613 86 Scheam Scheam NNP A33999 613 87 the the DT A33999 613 88 nearest near JJS A33999 613 89 distance distance NN A33999 613 90 from from IN A33999 613 91 L L NNP A33999 613 92 to to IN A33999 613 93 MF MF NNP A33999 613 94 was be VBD A33999 613 95 the the DT A33999 613 96 Sine Sine NNP A33999 613 97 of of IN A33999 613 98 the the DT A33999 613 99 Latitude Latitude NNP A33999 613 100 or or CC A33999 613 101 Stiles Stiles NNP A33999 613 102 height height NN A33999 613 103 , , , A33999 613 104 the the DT A33999 613 105 Semidiameter Semidiameter NNP A33999 613 106 of of IN A33999 613 107 the the DT A33999 613 108 inward inward JJ A33999 613 109 Circle Circle NNP A33999 613 110 , , , A33999 613 111 being be VBG A33999 613 112 Radius Radius NNP A33999 613 113 , , , A33999 613 114 and and CC A33999 613 115 that that DT A33999 613 116 extent extent NN A33999 613 117 being be VBG A33999 613 118 doubled double VBN A33999 613 119 and and CC A33999 613 120 pricked prick VBN A33999 613 121 from from IN A33999 613 122 M M NNP A33999 613 123 to to IN A33999 613 124 VI VI NNP A33999 613 125 on on IN A33999 613 126 each each DT A33999 613 127 side side NN A33999 613 128 , , , A33999 613 129 as as RB A33999 613 130 also also RB A33999 613 131 from from IN A33999 613 132 F F NNP A33999 613 133 twice twice RB A33999 613 134 to to IN A33999 613 135 IX IX NNP A33999 613 136 and and CC A33999 613 137 III III NNP A33999 613 138 , , , A33999 613 139 by by IN A33999 613 140 those those DT A33999 613 141 extents extent NNS A33999 613 142 the the DT A33999 613 143 Parallelogram Parallelogram NNP A33999 613 144 was be VBD A33999 613 145 bounded bound VBN A33999 613 146 , , , A33999 613 147 the the DT A33999 613 148 side side NN A33999 613 149 III III NNP A33999 613 150 , , , A33999 613 151 F F NNP A33999 613 152 IX IX NNP A33999 613 153 , , , A33999 613 154 being be VBG A33999 613 155 parallel parallel JJ A33999 613 156 to to IN A33999 613 157 the the DT A33999 613 158 Horizontal Horizontal NNP A33999 613 159 Line Line NNP A33999 613 160 . . . A33999 614 1 Then then RB A33999 614 2 take take VB A33999 614 3 the the DT A33999 614 4 extent extent NN A33999 614 5 MF MF NNP A33999 614 6 from from IN A33999 614 7 the the DT A33999 614 8 Horizontal Horizontal NNP A33999 614 9 Dyal Dyal NNP A33999 614 10 , , , A33999 614 11 and and CC A33999 614 12 place place VB A33999 614 13 it -PRON- PRP A33999 614 14 in in IN A33999 614 15 the the DT A33999 614 16 Tangent Tangent NNP A33999 614 17 Scheam Scheam NNP A33999 614 18 from from IN A33999 614 19 M M NNP A33999 614 20 to to IN A33999 614 21 O o NN A33999 614 22 , , , A33999 614 23 and and CC A33999 614 24 draw draw VB A33999 614 25 the the DT A33999 614 26 Line Line NNP A33999 614 27 MO mo NN A33999 614 28 , , , A33999 614 29 and and CC A33999 614 30 the the DT A33999 614 31 respective respective JJ A33999 614 32 Divisions Divisions NNPS A33999 614 33 of of IN A33999 614 34 the the DT A33999 614 35 said say VBN A33999 614 36 Line line NN A33999 614 37 being be VBG A33999 614 38 cut cut VBN A33999 614 39 by by IN A33999 614 40 the the DT A33999 614 41 parallels parallel NNS A33999 614 42 of of IN A33999 614 43 the the DT A33999 614 44 Tangent Tangent NNP A33999 614 45 Scheam Scheam NNP A33999 614 46 are be VBP A33999 614 47 the the DT A33999 614 48 same same JJ A33999 614 49 with with IN A33999 614 50 the the DT A33999 614 51 Divisions Divisions NNPS A33999 614 52 of of IN A33999 614 53 the the DT A33999 614 54 hour hour NN A33999 614 55 - - HYPH A33999 614 56 lines line NNS A33999 614 57 on on IN A33999 614 58 the the DT A33999 614 59 inward inward JJ A33999 614 60 sides side NNS A33999 614 61 of of IN A33999 614 62 the the DT A33999 614 63 Horizontal Horizontal NNP A33999 614 64 Dyal Dyal NNP A33999 614 65 VI VI NNP A33999 614 66 , , , A33999 614 67 IX IX NNP A33999 614 68 , , , A33999 614 69 and and CC A33999 614 70 VI VI NNP A33999 614 71 , , , A33999 614 72 III III NNP A33999 614 73 , , , A33999 614 74 and and CC A33999 614 75 from from IN A33999 614 76 the the DT A33999 614 77 tangent tangent NN A33999 614 78 Scheam Scheam NNP A33999 614 79 they -PRON- PRP A33999 614 80 are be VBP A33999 614 81 to to TO A33999 614 82 be be VB A33999 614 83 transferred transfer VBN A33999 614 84 thither thither RB A33999 614 85 with with IN A33999 614 86 Compasses compass NNS A33999 614 87 . . . A33999 615 1 Also also RB A33999 615 2 place place VB A33999 615 3 F F NNP A33999 615 4 , , , A33999 615 5 IX IX NNP A33999 615 6 or or CC A33999 615 7 F F NNP A33999 615 8 , , , A33999 615 9 III iii CD A33999 615 10 from from IN A33999 615 11 the the DT A33999 615 12 Horizontal Horizontal NNP A33999 615 13 Dyal Dyal NNP A33999 615 14 into into IN A33999 615 15 the the DT A33999 615 16 Tangent Tangent NNP A33999 615 17 Scheam Scheam NNP A33999 615 18 from from IN A33999 615 19 M M NNP A33999 615 20 to to IN A33999 615 21 N n CD A33999 615 22 , , , A33999 615 23 and and CC A33999 615 24 draw draw VB A33999 615 25 the the DT A33999 615 26 line line NN A33999 615 27 MN MN NNP A33999 615 28 , , , A33999 615 29 which which WDT A33999 615 30 being be VBG A33999 615 31 cut cut VBN A33999 615 32 by by IN A33999 615 33 the the DT A33999 615 34 parallels parallel NNS A33999 615 35 of of IN A33999 615 36 the the DT A33999 615 37 tangent tangent NN A33999 615 38 Scheam Scheam NNP A33999 615 39 , , , A33999 615 40 the the DT A33999 615 41 Distances distance NNS A33999 615 42 of of IN A33999 615 43 those those DT A33999 615 44 Divisions Divisions NNPS A33999 615 45 from from IN A33999 615 46 M M NNP A33999 615 47 are be VBP A33999 615 48 to to TO A33999 615 49 be be VB A33999 615 50 pricked prick VBN A33999 615 51 down down RP A33999 615 52 in in IN A33999 615 53 the the DT A33999 615 54 Horizontal Horizontal NNP A33999 615 55 Dyal Dyal NNP A33999 615 56 , , , A33999 615 57 the the DT A33999 615 58 first first JJ A33999 615 59 from from IN A33999 615 60 F F NNP A33999 615 61 to to IN A33999 615 62 XI XI NNP A33999 615 63 , , , A33999 615 64 and and CC A33999 615 65 I -PRON- PRP A33999 615 66 the the DT A33999 615 67 second second JJ A33999 615 68 from from IN A33999 615 69 F F NNP A33999 615 70 to to IN A33999 615 71 X X NNP A33999 615 72 and and CC A33999 615 73 II II NNP A33999 615 74 , , , A33999 615 75 & & CC A33999 615 76 c. c. NNP A33999 615 77 To to TO A33999 615 78 inscribe inscribe VB A33999 615 79 the the DT A33999 615 80 hour hour NN A33999 615 81 - - HYPH A33999 615 82 lines line NNS A33999 615 83 in in IN A33999 615 84 a a DT A33999 615 85 direct direct JJ A33999 615 86 erect erect NN A33999 615 87 South South NNP A33999 615 88 Dyal Dyal NNP A33999 615 89 . . . A33999 616 1 The the DT A33999 616 2 Diameter Diameter NNP A33999 616 3 of of IN A33999 616 4 the the DT A33999 616 5 Circle Circle NNP A33999 616 6 in in IN A33999 616 7 the the DT A33999 616 8 South South NNP A33999 616 9 Dyal Dyal NNP A33999 616 10 in in IN A33999 616 11 page page NN A33999 616 12 8 8 CD A33999 616 13 , , , A33999 616 14 is be VBZ A33999 616 15 the the DT A33999 616 16 same same JJ A33999 616 17 as as IN A33999 616 18 in in IN A33999 616 19 the the DT A33999 616 20 Horizontal Horizontal NNP A33999 616 21 , , , A33999 616 22 and and CC A33999 616 23 the the DT A33999 616 24 nearest near JJS A33999 616 25 distance distance NN A33999 616 26 from from IN A33999 616 27 L L NNP A33999 616 28 to to IN A33999 616 29 FM FM NNP A33999 616 30 was be VBD A33999 616 31 the the DT A33999 616 32 Consine Consine NNP A33999 616 33 of of IN A33999 616 34 the the DT A33999 616 35 Latitude Latitude NNP A33999 616 36 , , , A33999 616 37 and and CC A33999 616 38 was be VBD A33999 616 39 pricked prick VBN A33999 616 40 twice twice RB A33999 616 41 on on IN A33999 616 42 the the DT A33999 616 43 Horizontal Horizontal NNP A33999 616 44 Line Line NNP A33999 616 45 from from IN A33999 616 46 M M NNP A33999 616 47 to to IN A33999 616 48 VI VI NNP A33999 616 49 on on IN A33999 616 50 each each DT A33999 616 51 side side NN A33999 616 52 , , , A33999 616 53 whereby whereby WRB A33999 616 54 that that IN A33999 616 55 inward inward IN A33999 616 56 Parallelogram Parallelogram NNP A33999 616 57 was be VBD A33999 616 58 limited limit VBN A33999 616 59 . . . A33999 617 1 Wherefore Wherefore VBN A33999 617 2 the the DT A33999 617 3 divisions division NNS A33999 617 4 of of IN A33999 617 5 the the DT A33999 617 6 Line Line NNP A33999 617 7 MO mo NN A33999 617 8 in in IN A33999 617 9 the the DT A33999 617 10 Tangent Tangent NNP A33999 617 11 Scheam Scheam NNP A33999 617 12 , , , A33999 617 13 are be VBP A33999 617 14 the the DT A33999 617 15 same same JJ A33999 617 16 with with IN A33999 617 17 the the DT A33999 617 18 hour hour NN A33999 617 19 distances distance NNS A33999 617 20 in in IN A33999 617 21 this this DT A33999 617 22 Dyal Dyal NNP A33999 617 23 on on IN A33999 617 24 the the DT A33999 617 25 sides side NNS A33999 617 26 VI VI NNP A33999 617 27 , , , A33999 617 28 III III NNP A33999 617 29 , , , A33999 617 30 and and CC A33999 617 31 VI VI NNP A33999 617 32 , , , A33999 617 33 IX IX NNP A33999 617 34 ; ; : A33999 617 35 then then RB A33999 617 36 for for IN A33999 617 37 the the DT A33999 617 38 divisions division NNS A33999 617 39 of of IN A33999 617 40 the the DT A33999 617 41 hours hour NNS A33999 617 42 on on IN A33999 617 43 each each DT A33999 617 44 side side NN A33999 617 45 of of IN A33999 617 46 XII XII NNP A33999 617 47 , , , A33999 617 48 take take VB A33999 617 49 the the DT A33999 617 50 extent extent NN A33999 617 51 XII xii NN A33999 617 52 , , , A33999 617 53 IX IX NNP A33999 617 54 or or CC A33999 617 55 XII XII NNP A33999 617 56 , , , A33999 617 57 III III NNP A33999 617 58 , , , A33999 617 59 and and CC A33999 617 60 because because IN A33999 617 61 it -PRON- PRP A33999 617 62 is be VBZ A33999 617 63 less less JJR A33999 617 64 then then RB A33999 617 65 the the DT A33999 617 66 outward outward JJ A33999 617 67 parallel parallel JJ A33999 617 68 distance distance NN A33999 617 69 of of IN A33999 617 70 the the DT A33999 617 71 sides side NNS A33999 617 72 of of IN A33999 617 73 the the DT A33999 617 74 Tangent Tangent NNP A33999 617 75 Scheam Scheam NNP A33999 617 76 , , , A33999 617 77 having have VBG A33999 617 78 therein therein RB A33999 617 79 made make VBN A33999 617 80 MI MI NNP A33999 617 81 perpendicular perpendicular JJ A33999 617 82 to to IN A33999 617 83 BM BM NNP A33999 617 84 , , , A33999 617 85 place place NN A33999 617 86 this this DT A33999 617 87 extent extent NN A33999 617 88 from from IN A33999 617 89 I -PRON- PRP A33999 617 90 to to IN A33999 617 91 P p NN A33999 617 92 , , , A33999 617 93 and and CC A33999 617 94 draw draw VB A33999 617 95 the the DT A33999 617 96 line line NN A33999 617 97 MP MP NNP A33999 617 98 , , , A33999 617 99 then then RB A33999 617 100 prick prick VB A33999 617 101 the the DT A33999 617 102 extent extent NN A33999 617 103 RL rl NN A33999 617 104 from from IN A33999 617 105 the the DT A33999 617 106 Tangent Tangent NNP A33999 617 107 Scheam Scheam NNP A33999 617 108 , , , A33999 617 109 from from IN A33999 617 110 F f NN A33999 617 111 to to IN A33999 617 112 XI XI NNP A33999 617 113 and and CC A33999 617 114 I -PRON- PRP A33999 617 115 , , , A33999 617 116 and and CC A33999 617 117 the the DT A33999 617 118 extent extent NN A33999 617 119 QK QK NNP A33999 617 120 , , , A33999 617 121 from from IN A33999 617 122 F F NNP A33999 617 123 in in IN A33999 617 124 the the DT A33999 617 125 Dyal Dyal NNP A33999 617 126 , , , A33999 617 127 to to IN A33999 617 128 X X NNP A33999 617 129 , , , A33999 617 130 and and CC A33999 617 131 II II NNP A33999 617 132 , , , A33999 617 133 and and CC A33999 617 134 from from IN A33999 617 135 the the DT A33999 617 136 hour hour NN A33999 617 137 points point NNS A33999 617 138 so so RB A33999 617 139 found find VBN A33999 617 140 , , , A33999 617 141 draw draw VB A33999 617 142 lines line NNS A33999 617 143 into into IN A33999 617 144 the the DT A33999 617 145 Center Center NNP A33999 617 146 at at IN A33999 617 147 M M NNP A33999 617 148 , , , A33999 617 149 and and CC A33999 617 150 they -PRON- PRP A33999 617 151 shall shall MD A33999 617 152 be be VB A33999 617 153 the the DT A33999 617 154 hour hour NN A33999 617 155 - - HYPH A33999 617 156 lines line NNS A33999 617 157 required require VBN A33999 617 158 . . . A33999 618 1 To to TO A33999 618 2 delineate delineate VB A33999 618 3 an an DT A33999 618 4 upright upright JJ A33999 618 5 Decliner Decliner NNP A33999 618 6 in in IN A33999 618 7 an an DT A33999 618 8 Oblique Oblique NNP A33999 618 9 Parallelogram Parallelogram NNP A33999 618 10 . . . A33999 619 1 An an DT A33999 619 2 upright upright JJ A33999 619 3 South south JJ A33999 619 4 Dyal Dyal NNP A33999 619 5 Declining Declining NNP A33999 619 6 30 30 CD A33999 619 7 degrees degree NNS A33999 619 8 West West NNP A33999 619 9 , , , A33999 619 10 Latitude Latitude NNP A33999 619 11 51 51 CD A33999 619 12 degrees degree NNS A33999 619 13 , , , A33999 619 14 32 32 CD A33999 619 15 minutes minute NNS A33999 619 16 . . . A33999 620 1 First first RB A33999 620 2 draw draw VB A33999 620 3 the the DT A33999 620 4 Meridian Meridian NNP A33999 620 5 or or CC A33999 620 6 Plains Plains NNPS A33999 620 7 perpendicular perpendicular JJ A33999 620 8 CN CN NNP A33999 620 9 , , , A33999 620 10 and and CC A33999 620 11 upon upon IN A33999 620 12 C C NNP A33999 620 13 as as IN A33999 620 14 a a DT A33999 620 15 Center Center NNP A33999 620 16 , , , A33999 620 17 with with IN A33999 620 18 the the DT A33999 620 19 Radius Radius NNP A33999 620 20 of of IN A33999 620 21 the the DT A33999 620 22 Dyalling Dyalling NNP A33999 620 23 Scheam Scheam NNP A33999 620 24 , , , A33999 620 25 describe describe VB A33999 620 26 A a DT A33999 620 27 South South NNP A33999 620 28 plained plained JJ A33999 620 29 Declin Declin NNP A33999 620 30 40d 40d , A33999 620 31 East East NNP A33999 620 32 Reclining Reclining NNP A33999 620 33 60d 60d NNPS A33999 620 34 Lat Lat NNP A33999 620 35 51d 51d NNS A33999 620 36 32′ 32′ CD A33999 620 37 page page NN A33999 620 38 64 64 CD A33999 620 39 A a DT A33999 620 40 North North NNP A33999 620 41 plaine plaine JJ A33999 620 42 Declin Declin NNP A33999 620 43 60 60 CD A33999 620 44 West West NNP A33999 620 45 Inclining Inclining NNP A33999 620 46 60d 60d NNPS A33999 620 47 Lat Lat NNP A33999 620 48 51 51 CD A33999 620 49 - - SYM A33999 620 50 32′ 32′ CD A33999 620 51 place place NN A33999 620 52 this this DT A33999 620 53 anywhere anywhere JJ A33999 620 54 page page NN A33999 620 55 65 65 CD A33999 620 56 A a DT A33999 620 57 South South NNP A33999 620 58 plaine plaine JJ A33999 620 59 Declin Declin NNP A33999 620 60 30d 30d HYPH A33999 620 61 West West NNP A33999 620 62 Latitude Latitude NNP A33999 620 63 51d 51d NNS A33999 620 64 32′ 32′ CD A33999 620 65 A a DT A33999 620 66 South South NNP A33999 620 67 Diall Diall NNP A33999 620 68 Declin Declin NNP A33999 620 69 40d 40d NNPS A33999 620 70 East East NNP A33999 620 71 Inclin Inclin NNP A33999 620 72 15d 15d CD A33999 620 73 Lat Lat NNP A33999 620 74 51d 51d NNS A33999 620 75 32′ 32′ CD A33999 620 76 In in IN A33999 620 77 Latitudes Latitudes NNPS A33999 620 78 under under IN A33999 620 79 45d 45d NNS A33999 620 80 the the DT A33999 620 81 side side NN A33999 620 82 of of IN A33999 620 83 the the DT A33999 620 84 square square JJ A33999 620 85 AV av NN A33999 620 86 must must MD A33999 620 87 be be VB A33999 620 88 assumed assume VBN A33999 620 89 to to TO A33999 620 90 be be VB A33999 620 91 the the DT A33999 620 92 Cotangent Cotangent NNP A33999 620 93 of of IN A33999 620 94 the the DT A33999 620 95 Latitude Latitude NNP A33999 620 96 , , , A33999 620 97 the the DT A33999 620 98 Radius Radius NNP A33999 620 99 whereto whereto NN A33999 620 100 will will MD A33999 620 101 be be VB A33999 620 102 AF AF NNP A33999 620 103 the the DT A33999 620 104 Tangent Tangent NNP A33999 620 105 of of IN A33999 620 106 the the DT A33999 620 107 Latitude Latitude NNP A33999 620 108 , , , A33999 620 109 to to IN A33999 620 110 which which WDT A33999 620 111 Radius Radius NNP A33999 620 112 being be VBG A33999 620 113 prickt prickt NNS A33999 620 114 on on IN A33999 620 115 the the DT A33999 620 116 side side NN A33999 620 117 of of IN A33999 620 118 the the DT A33999 620 119 square square NN A33999 620 120 from from IN A33999 620 121 the the DT A33999 620 122 Center Center NNP A33999 620 123 , , , A33999 620 124 the the DT A33999 620 125 Sine Sine NNP A33999 620 126 of of IN A33999 620 127 the the DT A33999 620 128 declination declination NN A33999 620 129 must must MD A33999 620 130 be be VB A33999 620 131 taken take VBN A33999 620 132 out out RP A33999 620 133 as as IN A33999 620 134 before before RB A33999 620 135 , , , A33999 620 136 and and CC A33999 620 137 erected erect VBN A33999 620 138 on on IN A33999 620 139 the the DT A33999 620 140 Cotangent Cotangent NNP A33999 620 141 of of IN A33999 620 142 the the DT A33999 620 143 Latitude Latitude NNP A33999 620 144 , , , A33999 620 145 and and CC A33999 620 146 this this DT A33999 620 147 work work NN A33999 620 148 must must MD A33999 620 149 be be VB A33999 620 150 performed perform VBN A33999 620 151 on on IN A33999 620 152 that that DT A33999 620 153 side side NN A33999 620 154 of of IN A33999 620 155 the the DT A33999 620 156 Center Center NNP A33999 620 157 on on IN A33999 620 158 which which WDT A33999 620 159 the the DT A33999 620 160 Substile Substile NNP A33999 620 161 lyes lye NNS A33999 620 162 . . . A33999 621 1 To to TO A33999 621 2 fit fit VB A33999 621 3 in in IN A33999 621 4 the the DT A33999 621 5 Parallelogram Parallelogram NNP A33999 621 6 . . . A33999 622 1 Produce produce VB A33999 622 2 the the DT A33999 622 3 Lines Lines NNPS A33999 622 4 WE WE NNP A33999 622 5 , , , A33999 622 6 VD VD NNP A33999 622 7 , , , A33999 622 8 and and CC A33999 622 9 VL VL NNP A33999 622 10 , , , A33999 622 11 in in IN A33999 622 12 the the DT A33999 622 13 Dyalling dyalle VBG A33999 622 14 Scheam Scheam NNP A33999 622 15 far far RB A33999 622 16 enough enough RB A33999 622 17 , , , A33999 622 18 then then RB A33999 622 19 assuming assume VBG A33999 622 20 any any DT A33999 622 21 extent extent NN A33999 622 22 to to TO A33999 622 23 be be VB A33999 622 24 Radius Radius NNP A33999 622 25 , , , A33999 622 26 enter enter VB A33999 622 27 it -PRON- PRP A33999 622 28 on on IN A33999 622 29 the the DT A33999 622 30 lines line NNS A33999 622 31 VD VD NNP A33999 622 32 and and CC A33999 622 33 VL VL NNP A33999 622 34 from from IN A33999 622 35 the the DT A33999 622 36 Center Center NNP A33999 622 37 to to IN A33999 622 38 Y Y NNP A33999 622 39 and and CC A33999 622 40 Z Z NNP A33999 622 41 , , , A33999 622 42 the the DT A33999 622 43 nearest near JJS A33999 622 44 distance distance NN A33999 622 45 from from IN A33999 622 46 Y Y NNP A33999 622 47 to to IN A33999 622 48 VE VE NNP A33999 622 49 is be VBZ A33999 622 50 the the DT A33999 622 51 Cofine Cofine NNP A33999 622 52 of of IN A33999 622 53 the the DT A33999 622 54 Latitude Latitude NNP A33999 622 55 to to IN A33999 622 56 that that DT A33999 622 57 Radius radius NN A33999 622 58 which which WDT A33999 622 59 enter enter VBP A33999 622 60 on on IN A33999 622 61 the the DT A33999 622 62 Line Line NNP A33999 622 63 of of IN A33999 622 64 6 6 CD A33999 622 65 or or CC A33999 622 66 GC GC NNP A33999 622 67 , , , A33999 622 68 so so IN A33999 622 69 that that IN A33999 622 70 one one CD A33999 622 71 foot foot NN A33999 622 72 resting rest VBG A33999 622 73 thereon thereon NN A33999 622 74 , , , A33999 622 75 the the DT A33999 622 76 other other JJ A33999 622 77 turned turn VBD A33999 622 78 about about IN A33999 622 79 may may MD A33999 622 80 just just RB A33999 622 81 touch touch VB A33999 622 82 CN CN NNP A33999 622 83 , , , A33999 622 84 at at IN A33999 622 85 the the DT A33999 622 86 point point NN A33999 622 87 found find VBD A33999 622 88 set set VBN A33999 622 89 H h NN A33999 622 90 , , , A33999 622 91 and and CC A33999 622 92 make make VB A33999 622 93 CI CI NNP A33999 622 94 on on IN A33999 622 95 the the DT A33999 622 96 other other JJ A33999 622 97 side side NN A33999 622 98 equal equal JJ A33999 622 99 to to IN A33999 622 100 CH CH NNP A33999 622 101 . . . A33999 623 1 The the DT A33999 623 2 nearest near JJS A33999 623 3 distance distance NN A33999 623 4 in in IN A33999 623 5 the the DT A33999 623 6 Dyalling dyalle VBG A33999 623 7 Scheam Scheam NNP A33999 623 8 from from IN A33999 623 9 Z z NN A33999 623 10 to to IN A33999 623 11 VE VE NNP A33999 623 12 , , , A33999 623 13 is be VBZ A33999 623 14 the the DT A33999 623 15 Cosine Cosine NNP A33999 623 16 of of IN A33999 623 17 the the DT A33999 623 18 declination declination NN A33999 623 19 to to IN A33999 623 20 the the DT A33999 623 21 former former JJ A33999 623 22 Radius Radius NNP A33999 623 23 , , , A33999 623 24 which which WDT A33999 623 25 prick prick VBP A33999 623 26 on on IN A33999 623 27 the the DT A33999 623 28 Meridian meridian JJ A33999 623 29 line line NN A33999 623 30 from from IN A33999 623 31 C C NNP A33999 623 32 to to IN A33999 623 33 L. L. NNP A33999 623 34 And and CC A33999 623 35 draw draw VB A33999 623 36 a a DT A33999 623 37 Line line NN A33999 623 38 through through IN A33999 623 39 L l NN A33999 623 40 parallel parallel NN A33999 623 41 to to IN A33999 623 42 HI HI NNP A33999 623 43 , , , A33999 623 44 and and CC A33999 623 45 therein therein RB A33999 623 46 make make VB A33999 623 47 LP LP NNP A33999 623 48 , , , A33999 623 49 LQ lq VB A33999 623 50 each each DT A33999 623 51 equal equal JJ A33999 623 52 to to IN A33999 623 53 CH CH NNP A33999 623 54 , , , A33999 623 55 and and CC A33999 623 56 draw draw VB A33999 623 57 HP HP NNP A33999 623 58 and and CC A33999 623 59 IQ IQ NNP A33999 623 60 , , , A33999 623 61 and and CC A33999 623 62 there there EX A33999 623 63 will will MD A33999 623 64 be be VB A33999 623 65 an an DT A33999 623 66 oblique oblique JJ A33999 623 67 Parallelogram Parallelogram NNP A33999 623 68 constituted constitute VBN A33999 623 69 , , , A33999 623 70 the the DT A33999 623 71 sides side NNS A33999 623 72 whereof whereof MD A33999 623 73 will will MD A33999 623 74 be be VB A33999 623 75 Tangent Tangent NNP A33999 623 76 Lines Lines NNP A33999 623 77 . . . A33999 624 1 Nota Nota NNP A33999 624 2 , , , A33999 624 3 we -PRON- PRP A33999 624 4 might may MD A33999 624 5 assume assume VB A33999 624 6 the the DT A33999 624 7 point point NN A33999 624 8 G g NN A33999 624 9 in in IN A33999 624 10 the the DT A33999 624 11 hour hour NN A33999 624 12 - - HYPH A33999 624 13 line line NN A33999 624 14 of of IN A33999 624 15 six six CD A33999 624 16 , , , A33999 624 17 for for IN A33999 624 18 the the DT A33999 624 19 Parallelogram Parallelogram NNP A33999 624 20 to to TO A33999 624 21 pass pass VB A33999 624 22 through through RP A33999 624 23 , , , A33999 624 24 and and CC A33999 624 25 the the DT A33999 624 26 nearest near JJS A33999 624 27 distance distance NN A33999 624 28 from from IN A33999 624 29 D d NN A33999 624 30 to to IN A33999 624 31 VE VE NNP A33999 624 32 in in IN A33999 624 33 the the DT A33999 624 34 dyalling dyalle VBG A33999 624 35 Scheam Scheam NNP A33999 624 36 , , , A33999 624 37 would would MD A33999 624 38 be be VB A33999 624 39 the the DT A33999 624 40 Cosine Cosine NNP A33999 624 41 of of IN A33999 624 42 the the DT A33999 624 43 declination declination NN A33999 624 44 to to IN A33999 624 45 the the DT A33999 624 46 same same JJ A33999 624 47 Radius Radius NNP A33999 624 48 to to TO A33999 624 49 be be VB A33999 624 50 prickt prickt NNS A33999 624 51 on on IN A33999 624 52 the the DT A33999 624 53 Meridian Meridian NNP A33999 624 54 Line Line NNP A33999 624 55 as as IN A33999 624 56 before before RB A33999 624 57 . . . A33999 625 1 To to TO A33999 625 2 inscribe inscribe VB A33999 625 3 the the DT A33999 625 4 hour hour NN A33999 625 5 - - HYPH A33999 625 6 lines line NNS A33999 625 7 . . . A33999 626 1 In in IN A33999 626 2 the the DT A33999 626 3 following follow VBG A33999 626 4 Tangent Tangent NNP A33999 626 5 Scheam Scheam NNP A33999 626 6 made make VBD A33999 626 7 as as IN A33999 626 8 the the DT A33999 626 9 former former JJ A33999 626 10 , , , A33999 626 11 produce produce VBP A33999 626 12 CB CB NNP A33999 626 13 , , , A33999 626 14 and and CC A33999 626 15 make make VB A33999 626 16 BQ BQ NNP A33999 626 17 equal equal JJ A33999 626 18 to to IN A33999 626 19 BC BC NNP A33999 626 20 , , , A33999 626 21 then then RB A33999 626 22 take take VB A33999 626 23 the the DT A33999 626 24 extent extent NN A33999 626 25 PQ pq NN A33999 626 26 on on IN A33999 626 27 the the DT A33999 626 28 dyal dyal NN A33999 626 29 , , , A33999 626 30 and and CC A33999 626 31 upon upon IN A33999 626 32 Q Q NNP A33999 626 33 as as IN A33999 626 34 a a DT A33999 626 35 Center Center NNP A33999 626 36 describe describe VBP A33999 626 37 the the DT A33999 626 38 Ark Ark NNP A33999 626 39 Y Y NNP A33999 626 40 therewith therewith NN A33999 626 41 , , , A33999 626 42 and and CC A33999 626 43 draw draw VB A33999 626 44 the the DT A33999 626 45 Line Line NNP A33999 626 46 YC YC NNP A33999 626 47 just just RB A33999 626 48 touching touch VBG A33999 626 49 the the DT A33999 626 50 extreamity extreamity NN A33999 626 51 , , , A33999 626 52 then then RB A33999 626 53 you -PRON- PRP A33999 626 54 may may MD A33999 626 55 proportion proportion VB A33999 626 56 out out RP A33999 626 57 the the DT A33999 626 58 hours hour NNS A33999 626 59 in in IN A33999 626 60 this this DT A33999 626 61 manner manner NN A33999 626 62 . . . A33999 627 1 If if IN A33999 627 2 a a DT A33999 627 3 line line NN A33999 627 4 be be VB A33999 627 5 drawn draw VBN A33999 627 6 in in IN A33999 627 7 the the DT A33999 627 8 Dyal Dyal NNP A33999 627 9 from from IN A33999 627 10 H h NN A33999 627 11 to to IN A33999 627 12 L l NN A33999 627 13 , , , A33999 627 14 and and CC A33999 627 15 from from IN A33999 627 16 L l NN A33999 627 17 to to IN A33999 627 18 I -PRON- PRP A33999 627 19 , , , A33999 627 20 the the DT A33999 627 21 hour hour NN A33999 627 22 - - HYPH A33999 627 23 lines line NNS A33999 627 24 being be VBG A33999 627 25 drawn draw VBN A33999 627 26 shall shall MD A33999 627 27 divide divide VB A33999 627 28 each each DT A33999 627 29 of of IN A33999 627 30 these these DT A33999 627 31 lines line NNS A33999 627 32 into into IN A33999 627 33 a a DT A33999 627 34 double double JJ A33999 627 35 Tangent tangent NN A33999 627 36 , , , A33999 627 37 and and CC A33999 627 38 consequently consequently RB A33999 627 39 the the DT A33999 627 40 hour hour NN A33999 627 41 - - HYPH A33999 627 42 lines line NNS A33999 627 43 may may MD A33999 627 44 also also RB A33999 627 45 be be VB A33999 627 46 prickt prickt NNS A33999 627 47 off off RP A33999 627 48 on on IN A33999 627 49 the the DT A33999 627 50 said say VBN A33999 627 51 lines line NNS A33999 627 52 , , , A33999 627 53 after after IN A33999 627 54 the the DT A33999 627 55 method method NN A33999 627 56 now now RB A33999 627 57 prescribed prescribe VBN A33999 627 58 . . . A33999 628 1 For for IN A33999 628 2 upright upright JJ A33999 628 3 far far JJ A33999 628 4 Decliners decliner NNS A33999 628 5 and and CC A33999 628 6 such such JJ A33999 628 7 plains plain NNS A33999 628 8 as as IN A33999 628 9 have have VBP A33999 628 10 small small JJ A33999 628 11 height height NN A33999 628 12 of of IN A33999 628 13 Stile Stile NNP A33999 628 14 , , , A33999 628 15 recourse recourse NN A33999 628 16 must must MD A33999 628 17 be be VB A33999 628 18 had have VBN A33999 628 19 to to IN A33999 628 20 former former JJ A33999 628 21 directions direction NNS A33999 628 22 for for IN A33999 628 23 drawing draw VBG A33999 628 24 them -PRON- PRP A33999 628 25 with with IN A33999 628 26 a a DT A33999 628 27 double double JJ A33999 628 28 Contingent contingent JJ A33999 628 29 line line NN A33999 628 30 , , , A33999 628 31 each each DT A33999 628 32 at at IN A33999 628 33 right right JJ A33999 628 34 Angles angle NNS A33999 628 35 to to IN A33999 628 36 the the DT A33999 628 37 Substile Substile NNP A33999 628 38 . . . A33999 629 1 The the DT A33999 629 2 foundation foundation NN A33999 629 3 whereof whereof NN A33999 629 4 is be VBZ A33999 629 5 this this DT A33999 629 6 , , , A33999 629 7 Any any DT A33999 629 8 point point NN A33999 629 9 being be VBG A33999 629 10 assumed assume VBN A33999 629 11 in in IN A33999 629 12 the the DT A33999 629 13 Substilar substilar JJ A33999 629 14 line line NN A33999 629 15 of of IN A33999 629 16 a a DT A33999 629 17 Dyal Dyal NNP A33999 629 18 , , , A33999 629 19 the the DT A33999 629 20 nearest near JJS A33999 629 21 distance distance NN A33999 629 22 from from IN A33999 629 23 that that DT A33999 629 24 Point Point NNP A33999 629 25 to to IN A33999 629 26 the the DT A33999 629 27 Stile Stile NNP A33999 629 28 , , , A33999 629 29 is be VBZ A33999 629 30 the the DT A33999 629 31 Sine Sine NNP A33999 629 32 of of IN A33999 629 33 the the DT A33999 629 34 Stiles Stiles NNP A33999 629 35 height height NN A33999 629 36 , , , A33999 629 37 the the DT A33999 629 38 Radius Radius NNP A33999 629 39 to to TO A33999 629 40 which which WDT A33999 629 41 Sine Sine NNP A33999 629 42 is be VBZ A33999 629 43 the the DT A33999 629 44 distance distance NN A33999 629 45 of of IN A33999 629 46 the the DT A33999 629 47 assumed assumed JJ A33999 629 48 point point NN A33999 629 49 in in IN A33999 629 50 the the DT A33999 629 51 Substilar substilar JJ A33999 629 52 line line NN A33999 629 53 from from IN A33999 629 54 the the DT A33999 629 55 Center Center NNP A33999 629 56 of of IN A33999 629 57 the the DT A33999 629 58 Dyal Dyal NNP A33999 629 59 ; ; : A33999 629 60 Then then RB A33999 629 61 in in IN A33999 629 62 all all DT A33999 629 63 Dyals dyal NNS A33999 629 64 the the DT A33999 629 65 hour hour NN A33999 629 66 distances distance VBZ A33999 629 67 from from IN A33999 629 68 the the DT A33999 629 69 Substilar substilar JJ A33999 629 70 line line NN A33999 629 71 are be VBP A33999 629 72 Tangents tangent NNS A33999 629 73 of of IN A33999 629 74 the the DT A33999 629 75 Angle angle NN A33999 629 76 of of IN A33999 629 77 the the DT A33999 629 78 Pole Pole NNP A33999 629 79 , , , A33999 629 80 the the DT A33999 629 81 Sine Sine NNP A33999 629 82 of of IN A33999 629 83 the the DT A33999 629 84 Stiles Stiles NNP A33999 629 85 height height NN A33999 629 86 being be VBG A33999 629 87 made make VBN A33999 629 88 the the DT A33999 629 89 Radius Radius NNP A33999 629 90 thereto thereto NN A33999 629 91 , , , A33999 629 92 having have VBG A33999 629 93 finished finish VBN A33999 629 94 the the DT A33999 629 95 delineation delineation NN A33999 629 96 of of IN A33999 629 97 the the DT A33999 629 98 Dyal Dyal NNP A33999 629 99 , , , A33999 629 100 the the DT A33999 629 101 Stile Stile NNP A33999 629 102 is be VBZ A33999 629 103 to to TO A33999 629 104 be be VB A33999 629 105 placed place VBN A33999 629 106 directly directly RB A33999 629 107 over over IN A33999 629 108 the the DT A33999 629 109 Substilar substilar JJ A33999 629 110 line line NN A33999 629 111 , , , A33999 629 112 without without IN A33999 629 113 inclining incline VBG A33999 629 114 to to IN A33999 629 115 either either DT A33999 629 116 side side NN A33999 629 117 of of IN A33999 629 118 the the DT A33999 629 119 Plain Plain NNP A33999 629 120 , , , A33999 629 121 making make VBG A33999 629 122 an an DT A33999 629 123 Angle angle NN A33999 629 124 therewith therewith NN A33999 629 125 equal equal JJ A33999 629 126 to to IN A33999 629 127 its -PRON- PRP$ A33999 629 128 height height NN A33999 629 129 above above IN A33999 629 130 the the DT A33999 629 131 same same JJ A33999 629 132 , , , A33999 629 133 for for IN A33999 629 134 the the DT A33999 629 135 Substilar substilar JJ A33999 629 136 line line NN A33999 629 137 is be VBZ A33999 629 138 elsewhere elsewhere RB A33999 629 139 defined define VBN A33999 629 140 to to TO A33999 629 141 be be VB A33999 629 142 such such PDT A33999 629 143 a a DT A33999 629 144 line line NN A33999 629 145 over over IN A33999 629 146 which which WDT A33999 629 147 the the DT A33999 629 148 Stile Stile NNP A33999 629 149 is be VBZ A33999 629 150 to to TO A33999 629 151 be be VB A33999 629 152 placed place VBN A33999 629 153 in in IN A33999 629 154 its -PRON- PRP$ A33999 629 155 nearest near JJS A33999 629 156 distance distance NN A33999 629 157 from from IN A33999 629 158 the the DT A33999 629 159 Plain Plain NNP A33999 629 160 , , , A33999 629 161 therefore therefore RB A33999 629 162 if if IN A33999 629 163 the the DT A33999 629 164 Stile Stile NNP A33999 629 165 incline incline NN A33999 629 166 on on IN A33999 629 167 either either DT A33999 629 168 side side NN A33999 629 169 , , , A33999 629 170 it -PRON- PRP A33999 629 171 will will MD A33999 629 172 be be VB A33999 629 173 nearer nearer JJ A33999 629 174 to to IN A33999 629 175 some some DT A33999 629 176 other other JJ A33999 629 177 part part NN A33999 629 178 of of IN A33999 629 179 the the DT A33999 629 180 Plain Plain NNP A33999 629 181 then then RB A33999 629 182 the the DT A33999 629 183 Substilar substilar JJ A33999 629 184 line line NN A33999 629 185 , , , A33999 629 186 whence whence IN A33999 629 187 it -PRON- PRP A33999 629 188 comes come VBZ A33999 629 189 to to TO A33999 629 190 pass pass VB A33999 629 191 in in RP A33999 629 192 places place NNS A33999 629 193 near near IN A33999 629 194 the the DT A33999 629 195 Equinoctial Equinoctial NNP A33999 629 196 , , , A33999 629 197 if if IN A33999 629 198 an an DT A33999 629 199 upright upright JJ A33999 629 200 Plain plain JJ A33999 629 201 decline decline NN A33999 629 202 but but CC A33999 629 203 very very RB A33999 629 204 little little JJ A33999 629 205 , , , A33999 629 206 the the DT A33999 629 207 Substile Substile NNP A33999 629 208 is be VBZ A33999 629 209 immediately immediately RB A33999 629 210 cast cast VBN A33999 629 211 very very RB A33999 629 212 remote remote JJ A33999 629 213 from from IN A33999 629 214 the the DT A33999 629 215 Meridian Meridian NNP A33999 629 216 . . . A33999 630 1 Another another DT A33999 630 2 way way NN A33999 630 3 to to TO A33999 630 4 prick prick VB A33999 630 5 down down RP A33999 630 6 the the DT A33999 630 7 hour hour NN A33999 630 8 - - HYPH A33999 630 9 lines line NNS A33999 630 10 in in IN A33999 630 11 Declining decline VBG A33999 630 12 leaning lean VBG A33999 630 13 Plains Plains NNPS A33999 630 14 . . . A33999 631 1 Every every DT A33999 631 2 such such JJ A33999 631 3 Plain Plain NNP A33999 631 4 in in IN A33999 631 5 some some DT A33999 631 6 Latitude Latitude NNP A33999 631 7 or or CC A33999 631 8 other other JJ A33999 631 9 will will MD A33999 631 10 become become VB A33999 631 11 an an DT A33999 631 12 upright upright JJ A33999 631 13 Decliner Decliner NNP A33999 631 14 : : : A33999 631 15 First first RB A33999 631 16 therefore therefore RB A33999 631 17 by by IN A33999 631 18 the the DT A33999 631 19 former former JJ A33999 631 20 directions direction NNS A33999 631 21 prick prick VB A33999 631 22 off off RP A33999 631 23 the the DT A33999 631 24 Substile Substile NNP A33999 631 25 , , , A33999 631 26 Stile Stile NNP A33999 631 27 and and CC A33999 631 28 Meridian Meridian NNP A33999 631 29 , , , A33999 631 30 in in IN A33999 631 31 their -PRON- PRP$ A33999 631 32 true true JJ A33999 631 33 Coast coast NN A33999 631 34 and and CC A33999 631 35 quantity quantity NN A33999 631 36 , , , A33999 631 37 and and CC A33999 631 38 perpendicular perpendicular JJ A33999 631 39 to to IN A33999 631 40 the the DT A33999 631 41 Meridian Meridian NNP A33999 631 42 , , , A33999 631 43 draw draw VB A33999 631 44 a a DT A33999 631 45 line line NN A33999 631 46 passing pass VBG A33999 631 47 through through IN A33999 631 48 the the DT A33999 631 49 Center Center NNP A33999 631 50 , , , A33999 631 51 and and CC A33999 631 52 A a DT A33999 631 53 South South NNP A33999 631 54 Diall Diall NNP A33999 631 55 Declin Declin NNP A33999 631 56 40d 40d NNPS A33999 631 57 East East NNP A33999 631 58 Inclin Inclin NNP A33999 631 59 15d 15d CD A33999 631 60 Lat Lat NNP A33999 631 61 51d 51d NNS A33999 631 62 32′ 32′ CD A33999 631 63 A a DT A33999 631 64 North North NNP A33999 631 65 Diall Diall NNP A33999 631 66 Declin Declin NNP A33999 631 67 40d 40d , A33999 631 68 East East NNP A33999 631 69 Reclining reclining NN A33999 631 70 75d 75d CD A33999 631 71 Lat Lat NNP A33999 631 72 51d 51d NNS A33999 631 73 32′ 32′ CD A33999 631 74 it -PRON- PRP A33999 631 75 shall shall MD A33999 631 76 represent represent VB A33999 631 77 the the DT A33999 631 78 Horizontal horizontal JJ A33999 631 79 line line NN A33999 631 80 of of IN A33999 631 81 the the DT A33999 631 82 Plain Plain NNP A33999 631 83 in in IN A33999 631 84 that that DT A33999 631 85 new new JJ A33999 631 86 Latitude Latitude NNP A33999 631 87 as as RB A33999 631 88 here here RB A33999 631 89 VS VS NNP A33999 631 90 ; ; : A33999 631 91 from from IN A33999 631 92 any any DT A33999 631 93 point point NN A33999 631 94 in in IN A33999 631 95 the the DT A33999 631 96 Stile Stile NNP A33999 631 97 as as IN A33999 631 98 K K NNP A33999 631 99 , , , A33999 631 100 let let VB A33999 631 101 fall fall VB A33999 631 102 a a DT A33999 631 103 perpendicular perpendicular NN A33999 631 104 to to IN A33999 631 105 the the DT A33999 631 106 Substile Substile NNP A33999 631 107 at at IN A33999 631 108 I -PRON- PRP A33999 631 109 , , , A33999 631 110 and and CC A33999 631 111 from from IN A33999 631 112 the the DT A33999 631 113 point point NN A33999 631 114 I -PRON- PRP A33999 631 115 , , , A33999 631 116 in in IN A33999 631 117 the the DT A33999 631 118 Substile Substile NNP A33999 631 119 let let VBD A33999 631 120 fall fall VB A33999 631 121 a a DT A33999 631 122 perpendicular perpendicular NN A33999 631 123 to to IN A33999 631 124 the the DT A33999 631 125 Meridian Meridian NNP A33999 631 126 at at IN A33999 631 127 P. P. NNP A33999 631 128 To to TO A33999 631 129 finde finde VB A33999 631 130 the the DT A33999 631 131 new new JJ A33999 631 132 Declination Declination NNP A33999 631 133 . . . A33999 632 1 Prick prick VB A33999 632 2 IP IP NNP A33999 632 3 on on IN A33999 632 4 the the DT A33999 632 5 substilar substilar JJ A33999 632 6 line line NN A33999 632 7 from from IN A33999 632 8 I -PRON- PRP A33999 632 9 to to IN A33999 632 10 R r NN A33999 632 11 , , , A33999 632 12 and and CC A33999 632 13 draw draw VB A33999 632 14 RK RK NNP A33999 632 15 , , , A33999 632 16 so so RB A33999 632 17 shall shall MD A33999 632 18 the the DT A33999 632 19 Angle Angle NNP A33999 632 20 IRK IRK NNP A33999 632 21 be be VB A33999 632 22 the the DT A33999 632 23 complement complement NN A33999 632 24 of of IN A33999 632 25 the the DT A33999 632 26 new new JJ A33999 632 27 declination declination NN A33999 632 28 , , , A33999 632 29 and and CC A33999 632 30 the the DT A33999 632 31 Angle Angle NNP A33999 632 32 IKR IKR NNP A33999 632 33 the the DT A33999 632 34 new new JJ A33999 632 35 Declination declination NN A33999 632 36 it -PRON- PRP A33999 632 37 self self NN A33999 632 38 . . . A33999 633 1 To to TO A33999 633 2 finde finde VB A33999 633 3 the the DT A33999 633 4 new new JJ A33999 633 5 Latitude Latitude NNP A33999 633 6 . . . A33999 634 1 Upon upon IN A33999 634 2 the the DT A33999 634 3 Center Center NNP A33999 634 4 V v NN A33999 634 5 with with IN A33999 634 6 the the DT A33999 634 7 Radius Radius NNP A33999 634 8 VK VK NNP A33999 634 9 , , , A33999 634 10 describe describe VB A33999 634 11 a a DT A33999 634 12 Circle Circle NNP A33999 634 13 , , , A33999 634 14 I -PRON- PRP A33999 634 15 say say VBP A33999 634 16 then then RB A33999 634 17 that that IN A33999 634 18 VP VP NNP A33999 634 19 is be VBZ A33999 634 20 the the DT A33999 634 21 Sine Sine NNP A33999 634 22 of of IN A33999 634 23 the the DT A33999 634 24 new new JJ A33999 634 25 Latitude Latitude NNP A33999 634 26 to to IN A33999 634 27 that that DT A33999 634 28 Radius radius NN A33999 634 29 which which WDT A33999 634 30 may may MD A33999 634 31 be be VB A33999 634 32 measured measure VBN A33999 634 33 in in IN A33999 634 34 the the DT A33999 634 35 Limbe Limbe NNP A33999 634 36 of of IN A33999 634 37 the the DT A33999 634 38 said say VBN A33999 634 39 Circle Circle NNP A33999 634 40 , , , A33999 634 41 by by IN A33999 634 42 a a DT A33999 634 43 line line NN A33999 634 44 drawn draw VBN A33999 634 45 parallel parallel RB A33999 634 46 to to IN A33999 634 47 VS VS NNP A33999 634 48 , , , A33999 634 49 which which WDT A33999 634 50 will will MD A33999 634 51 intersect intersect VB A33999 634 52 the the DT A33999 634 53 Circle Circle NNP A33999 634 54 at at IN A33999 634 55 F F NNP A33999 634 56 , , , A33999 634 57 so so RB A33999 634 58 is be VBZ A33999 634 59 the the DT A33999 634 60 Arch Arch NNP A33999 634 61 SF SF NNP A33999 634 62 the the DT A33999 634 63 measure measure NN A33999 634 64 of of IN A33999 634 65 the the DT A33999 634 66 new new JJ A33999 634 67 Latitude Latitude NNP A33999 634 68 . . . A33999 635 1 To to TO A33999 635 2 prick prick VB A33999 635 3 off off RP A33999 635 4 the the DT A33999 635 5 Hour Hour NNP A33999 635 6 - - HYPH A33999 635 7 line line NN A33999 635 8 of of IN A33999 635 9 Six six CD A33999 635 10 . . . A33999 636 1 This this DT A33999 636 2 must must MD A33999 636 3 be be VB A33999 636 4 prickt prickt NNS A33999 636 5 off off RP A33999 636 6 below below IN A33999 636 7 the the DT A33999 636 8 Horizontal horizontal JJ A33999 636 9 line line NN A33999 636 10 , , , A33999 636 11 the the DT A33999 636 12 same same JJ A33999 636 13 way way NN A33999 636 14 that that WDT A33999 636 15 the the DT A33999 636 16 substilar substilar JJ A33999 636 17 lyes lye NNS A33999 636 18 : : : A33999 636 19 The the DT A33999 636 20 proportion proportion NN A33999 636 21 , , , A33999 636 22 is be VBZ A33999 636 23 , , , A33999 636 24 As as IN A33999 636 25 the the DT A33999 636 26 Cotangent Cotangent NNP A33999 636 27 of of IN A33999 636 28 the the DT A33999 636 29 Latitude Latitude NNP A33999 636 30 , , , A33999 636 31 Is be VBZ A33999 636 32 to to IN A33999 636 33 the the DT A33999 636 34 Sine Sine NNP A33999 636 35 of of IN A33999 636 36 the the DT A33999 636 37 Declination Declination NNP A33999 636 38 , , , A33999 636 39 So so RB A33999 636 40 is be VBZ A33999 636 41 the the DT A33999 636 42 Radius Radius NNP A33999 636 43 , , , A33999 636 44 To to IN A33999 636 45 the the DT A33999 636 46 Tangent Tangent NNP A33999 636 47 of of IN A33999 636 48 the the DT A33999 636 49 Angle Angle NNP A33999 636 50 between between IN A33999 636 51 the the DT A33999 636 52 Horizon Horizon NNP A33999 636 53 and and CC A33999 636 54 six six CD A33999 636 55 . . . A33999 637 1 If if IN A33999 637 2 RK RK NNP A33999 637 3 be be VBP A33999 637 4 Radius Radius NNP A33999 637 5 , , , A33999 637 6 then then RB A33999 637 7 is be VBZ A33999 637 8 VP VP NNP A33999 637 9 the the DT A33999 637 10 Tangent Tangent NNP A33999 637 11 of of IN A33999 637 12 the the DT A33999 637 13 new new JJ A33999 637 14 Latitude Latitude NNP A33999 637 15 , , , A33999 637 16 but but CC A33999 637 17 if if IN A33999 637 18 we -PRON- PRP A33999 637 19 make make VBP A33999 637 20 VP VP NNP A33999 637 21 Radius Radius NNP A33999 637 22 , , , A33999 637 23 then then RB A33999 637 24 is be VBZ A33999 637 25 RK RK NNP A33999 637 26 the the DT A33999 637 27 Cotangent Cotangent NNP A33999 637 28 of of IN A33999 637 29 the the DT A33999 637 30 new new JJ A33999 637 31 Latitude Latitude NNP A33999 637 32 . . . A33999 638 1 Wherefore wherefore WDT A33999 638 2 prick prick VB A33999 638 3 the the DT A33999 638 4 extent extent NN A33999 638 5 RK RK NNP A33999 638 6 on on IN A33999 638 7 the the DT A33999 638 8 Horizontal horizontal JJ A33999 638 9 line line NN A33999 638 10 from from IN A33999 638 11 V v NN A33999 638 12 to to IN A33999 638 13 N n NN A33999 638 14 , , , A33999 638 15 and and CC A33999 638 16 thereon thereon NN A33999 638 17 erect erect NN A33999 638 18 the the DT A33999 638 19 Sine Sine NNP A33999 638 20 of of IN A33999 638 21 the the DT A33999 638 22 Declination declination NN A33999 638 23 to to IN A33999 638 24 the the DT A33999 638 25 same same JJ A33999 638 26 Radius Radius NNP A33999 638 27 perpendicularly perpendicularly RB A33999 638 28 , , , A33999 638 29 as as IN A33999 638 30 is be VBZ A33999 638 31 NA NA NNP A33999 638 32 , , , A33999 638 33 and and CC A33999 638 34 a a DT A33999 638 35 line line NN A33999 638 36 drawn draw VBN A33999 638 37 into into IN A33999 638 38 the the DT A33999 638 39 Center Center NNP A33999 638 40 shall shall MD A33999 638 41 be be VB A33999 638 42 the the DT A33999 638 43 hour hour NN A33999 638 44 - - HYPH A33999 638 45 line line NN A33999 638 46 of of IN A33999 638 47 six six CD A33999 638 48 ; ; : A33999 638 49 the the DT A33999 638 50 proportioning proportioning NN A33999 638 51 out out IN A33999 638 52 of of IN A33999 638 53 the the DT A33999 638 54 Sine Sine NNP A33999 638 55 of of IN A33999 638 56 the the DT A33999 638 57 Declination declination NN A33999 638 58 to to IN A33999 638 59 the the DT A33999 638 60 same same JJ A33999 638 61 Radius Radius NNP A33999 638 62 , , , A33999 638 63 will will MD A33999 638 64 be be VB A33999 638 65 easily easily RB A33999 638 66 done do VBN A33999 638 67 , , , A33999 638 68 enter enter VB A33999 638 69 the the DT A33999 638 70 Radius Radius NNP A33999 638 71 VP VP NNP A33999 638 72 from from IN A33999 638 73 K K NNP A33999 638 74 to to IN A33999 638 75 D d NN A33999 638 76 , , , A33999 638 77 and and CC A33999 638 78 the the DT A33999 638 79 nearest near JJS A33999 638 80 distance distance NN A33999 638 81 from from IN A33999 638 82 D D NNP A33999 638 83 to to IN A33999 638 84 IK IK NNP A33999 638 85 , , , A33999 638 86 shall shall MD A33999 638 87 be be VB A33999 638 88 the the DT A33999 638 89 Sine Sine NNP A33999 638 90 of of IN A33999 638 91 the the DT A33999 638 92 new new JJ A33999 638 93 declination declination NN A33999 638 94 to to IN A33999 638 95 that that DT A33999 638 96 Radius Radius NNP A33999 638 97 . . . A33999 639 1 To to TO A33999 639 2 fit fit VB A33999 639 3 in in IN A33999 639 4 the the DT A33999 639 5 Parallelogram Parallelogram NNP A33999 639 6 . . . A33999 640 1 This this DT A33999 640 2 is be VBZ A33999 640 3 to to TO A33999 640 4 be be VB A33999 640 5 done do VBN A33999 640 6 as as IN A33999 640 7 in in IN A33999 640 8 upright upright JJ A33999 640 9 Decliners Decliners NNPS A33999 640 10 , , , A33999 640 11 for for IN A33999 640 12 having have VBG A33999 640 13 drawn draw VBN A33999 640 14 a a DT A33999 640 15 line line NN A33999 640 16 from from IN A33999 640 17 the the DT A33999 640 18 new new JJ A33999 640 19 Latitude Latitude NNP A33999 640 20 at at IN A33999 640 21 F F NNP A33999 640 22 into into IN A33999 640 23 the the DT A33999 640 24 Center Center NNP A33999 640 25 , , , A33999 640 26 if if IN A33999 640 27 any any DT A33999 640 28 Radius Radius NNP A33999 640 29 be be VB A33999 640 30 entred entre VBN A33999 640 31 on on IN A33999 640 32 the the DT A33999 640 33 said say VBN A33999 640 34 line line NN A33999 640 35 from from IN A33999 640 36 V V NNP A33999 640 37 , , , A33999 640 38 the the DT A33999 640 39 Center Center NNP A33999 640 40 towards towards IN A33999 640 41 the the DT A33999 640 42 Limbe Limbe NNP A33999 640 43 , , , A33999 640 44 the the DT A33999 640 45 nearest near JJS A33999 640 46 distance distance NN A33999 640 47 from from IN A33999 640 48 that that DT A33999 640 49 point point NN A33999 640 50 to to IN A33999 640 51 VP VP NNP A33999 640 52 the the DT A33999 640 53 Meridian meridian JJ A33999 640 54 line line NN A33999 640 55 , , , A33999 640 56 shall shall MD A33999 640 57 be be VB A33999 640 58 the the DT A33999 640 59 Cosine Cosine NNP A33999 640 60 of of IN A33999 640 61 the the DT A33999 640 62 new new JJ A33999 640 63 Latitude Latitude NNP A33999 640 64 to to IN A33999 640 65 that that DT A33999 640 66 Radius radius NN A33999 640 67 . . . A33999 641 1 Again again RB A33999 641 2 if if IN A33999 641 3 the the DT A33999 641 4 same same JJ A33999 641 5 Radius Radius NNP A33999 641 6 be be VB A33999 641 7 entred entre VBN A33999 641 8 on on IN A33999 641 9 RK RK NNP A33999 641 10 produced produce VBN A33999 641 11 if if IN A33999 641 12 need need NN A33999 641 13 be be VB A33999 641 14 , , , A33999 641 15 the the DT A33999 641 16 nearest near JJS A33999 641 17 distance distance NN A33999 641 18 to to IN A33999 641 19 VR VR NNP A33999 641 20 ( ( -LRB- A33999 641 21 produced produce VBN A33999 641 22 when when WRB A33999 641 23 need need VB A33999 641 24 requires require NNS A33999 641 25 ) ) -RRB- A33999 641 26 shall shall MD A33999 641 27 be be VB A33999 641 28 the the DT A33999 641 29 Cosine Cosine NNP A33999 641 30 of of IN A33999 641 31 the the DT A33999 641 32 new new JJ A33999 641 33 Declination Declination NNP A33999 641 34 , , , A33999 641 35 and and CC A33999 641 36 then then RB A33999 641 37 the the DT A33999 641 38 hour hour NN A33999 641 39 - - HYPH A33999 641 40 lines line NNS A33999 641 41 are be VBP A33999 641 42 to to TO A33999 641 43 be be VB A33999 641 44 drawn draw VBN A33999 641 45 as as IN A33999 641 46 for for IN A33999 641 47 upright upright JJ A33999 641 48 decliners decliner NNS A33999 641 49 , , , A33999 641 50 nothing nothing NN A33999 641 51 will will MD A33999 641 52 be be VB A33999 641 53 doubted doubt VBN A33999 641 54 concerning concern VBG A33999 641 55 the the DT A33999 641 56 truth truth NN A33999 641 57 of of IN A33999 641 58 what what WP A33999 641 59 is be VBZ A33999 641 60 here here RB A33999 641 61 delivered deliver VBN A33999 641 62 , , , A33999 641 63 if if IN A33999 641 64 the the DT A33999 641 65 demonstration demonstration NN A33999 641 66 for for IN A33999 641 67 inscribing inscribe VBG A33999 641 68 the the DT A33999 641 69 Requisites Requisites NNPS A33999 641 70 in in IN A33999 641 71 upright upright JJ A33999 641 72 decliners decliner NNS A33999 641 73 be be VB A33999 641 74 well well RB A33999 641 75 understood understand VBN A33999 641 76 , , , A33999 641 77 it -PRON- PRP A33999 641 78 being be VBG A33999 641 79 granted grant VBN A33999 641 80 that that IN A33999 641 81 Oblique Oblique NNP A33999 641 82 Plains Plains NNPS A33999 641 83 in in IN A33999 641 84 some some DT A33999 641 85 Latitude Latitude NNP A33999 641 86 or or CC A33999 641 87 other other JJ A33999 641 88 will will MD A33999 641 89 become become VB A33999 641 90 upright upright JJ A33999 641 91 decliners decliner NNS A33999 641 92 . . . A33999 642 1 There there EX A33999 642 2 are be VBP A33999 642 3 two two CD A33999 642 4 Examples Examples NNPS A33999 642 5 for for IN A33999 642 6 the the DT A33999 642 7 Latitude Latitude NNP A33999 642 8 of of IN A33999 642 9 London London NNP A33999 642 10 suited suit VBD A33999 642 11 to to IN A33999 642 12 these these DT A33999 642 13 directions direction NNS A33999 642 14 , , , A33999 642 15 in in IN A33999 642 16 both both DT A33999 642 17 which which WDT A33999 642 18 the the DT A33999 642 19 Letters letter NNS A33999 642 20 are be VBP A33999 642 21 alike alike RB A33999 642 22 , , , A33999 642 23 the the DT A33999 642 24 one one CD A33999 642 25 for for IN A33999 642 26 a a DT A33999 642 27 South South NNP A33999 642 28 Plain Plain NNP A33999 642 29 declining decline VBG A33999 642 30 40d 40d CD A33999 642 31 Eastwards eastward NNS A33999 642 32 , , , A33999 642 33 Inclining incline VBG A33999 642 34 15d 15d NNS A33999 642 35 , , , A33999 642 36 the the DT A33999 642 37 other other JJ A33999 642 38 for for IN A33999 642 39 a a DT A33999 642 40 North North NNP A33999 642 41 Plain Plain NNP A33999 642 42 declining decline VBG A33999 642 43 40d 40d NNS A33999 642 44 East East NNP A33999 642 45 , , , A33999 642 46 Reclining recline VBG A33999 642 47 75d 75d CD A33999 642 48 . . . A33999 643 1 To to TO A33999 643 2 finde finde NNP A33999 643 3 a a DT A33999 643 4 true true JJ A33999 643 5 Meridian Meridian NNP A33999 643 6 Line Line NNP A33999 643 7 . . . A33999 644 1 For for IN A33999 644 2 the the DT A33999 644 3 true true JJ A33999 644 4 placing placing NN A33999 644 5 of of IN A33999 644 6 an an DT A33999 644 7 Horizontal Horizontal NNP A33999 644 8 Dyal Dyal NNP A33999 644 9 , , , A33999 644 10 as as RB A33999 644 11 also also RB A33999 644 12 for for IN A33999 644 13 other other JJ A33999 644 14 good good JJ A33999 644 15 uses use NNS A33999 644 16 it -PRON- PRP A33999 644 17 will will MD A33999 644 18 be be VB A33999 644 19 requisite requisite JJ A33999 644 20 to to TO A33999 644 21 draw draw VB A33999 644 22 a a DT A33999 644 23 true true JJ A33999 644 24 Meridian Meridian NNP A33999 644 25 Line Line NNP A33999 644 26 , , , A33999 644 27 which which WDT A33999 644 28 proposition proposition NN A33999 644 29 may may MD A33999 644 30 be be VB A33999 644 31 performed perform VBN A33999 644 32 several several JJ A33999 644 33 ways way NNS A33999 644 34 , , , A33999 644 35 amongst amongst IN A33999 644 36 others other NNS A33999 644 37 the the DT A33999 644 38 Learned Learned NNP A33999 644 39 Mathematician Mathematician NNP A33999 644 40 Francis Francis NNP A33999 644 41 van van NNP A33999 644 42 Schooten Schooten NNP A33999 644 43 in in IN A33999 644 44 his -PRON- PRP$ A33999 644 45 late late JJ A33999 644 46 Miscellanies miscellany NNS A33999 644 47 demonstrates demonstrate VBZ A33999 644 48 one one CD A33999 644 49 , , , A33999 644 50 performed perform VBN A33999 644 51 by by IN A33999 644 52 help help NN A33999 644 53 of of IN A33999 644 54 three three CD A33999 644 55 shadows shadow NNS A33999 644 56 of of IN A33999 644 57 an an DT A33999 644 58 upright upright JJ A33999 644 59 Stile Stile NNP A33999 644 60 on on IN A33999 644 61 a a DT A33999 644 62 Horizontal Horizontal NNP A33999 644 63 Plain Plain NNP A33999 644 64 , , , A33999 644 65 published publish VBN A33999 644 66 first first RB A33999 644 67 without without IN A33999 644 68 Demonstration demonstration NN A33999 644 69 in in IN A33999 644 70 an an DT A33999 644 71 Italian italian JJ A33999 644 72 book book NN A33999 644 73 of of IN A33999 644 74 dyalling dyalle VBG A33999 644 75 by by IN A33999 644 76 Mutio Mutio NNP A33999 644 77 Oddi Oddi NNP A33999 644 78 . . . A33999 645 1 But but CC A33999 645 2 if if IN A33999 645 3 all all DT A33999 645 4 three three CD A33999 645 5 be be VB A33999 645 6 unequal unequal JJ A33999 645 7 , , , A33999 645 8 as as IN A33999 645 9 let let VB A33999 645 10 AC AC NNP A33999 645 11 be be VB A33999 645 12 the the DT A33999 645 13 least least JJS A33999 645 14 , , , A33999 645 15 erect erect VB A33999 645 16 three three CD A33999 645 17 lines line NNS A33999 645 18 from from IN A33999 645 19 the the DT A33999 645 20 point point NN A33999 645 21 A A NNP A33999 645 22 , , , A33999 645 23 perpendicular perpendicular JJ A33999 645 24 to to IN A33999 645 25 AP AP NNP A33999 645 26 , , , A33999 645 27 AC AC NNP A33999 645 28 , , , A33999 645 29 AD ad NN A33999 645 30 as as IN A33999 645 31 is be VBZ A33999 645 32 AF AF NNP A33999 645 33 , , , A33999 645 34 AG AG NNP A33999 645 35 , , , A33999 645 36 and and CC A33999 645 37 AH ah NN A33999 645 38 equal equal JJ A33999 645 39 to to IN A33999 645 40 the the DT A33999 645 41 Stiles Stiles NNP A33999 645 42 height height NN A33999 645 43 AE AE NNP A33999 645 44 , , , A33999 645 45 and and CC A33999 645 46 draw draw VB A33999 645 47 lines line NNS A33999 645 48 from from IN A33999 645 49 the the DT A33999 645 50 extreamities extreamitie NNS A33999 645 51 of of IN A33999 645 52 the the DT A33999 645 53 three three CD A33999 645 54 shadows shadow NNS A33999 645 55 to to IN A33999 645 56 these these DT A33999 645 57 three three CD A33999 645 58 points point NNS A33999 645 59 as as IN A33999 645 60 are be VBP A33999 645 61 FB FB NNP A33999 645 62 , , , A33999 645 63 GC GC NNP A33999 645 64 , , , A33999 645 65 and and CC A33999 645 66 HD hd NN A33999 645 67 ; ; : A33999 645 68 then then RB A33999 645 69 because because IN A33999 645 70 AC AC NNP A33999 645 71 is be VBZ A33999 645 72 less less JJR A33999 645 73 then then RB A33999 645 74 AB AB NNP A33999 645 75 , , , A33999 645 76 therefore therefore RB A33999 645 77 GC GC NNP A33999 645 78 will will MD A33999 645 79 be be VB A33999 645 80 less less JJR A33999 645 81 then then RB A33999 645 82 FB FB NNP A33999 645 83 , , , A33999 645 84 by by IN A33999 645 85 the the DT A33999 645 86 like like JJ A33999 645 87 reason reason NN A33999 645 88 GC GC NNP A33999 645 89 will will MD A33999 645 90 be be VB A33999 645 91 less less JJR A33999 645 92 then then RB A33999 645 93 HD hd NN A33999 645 94 , , , A33999 645 95 wherefore wherefore VBD A33999 645 96 from from IN A33999 645 97 FB FB NNP A33999 645 98 and and CC A33999 645 99 HD HD NNP A33999 645 100 cut cut VBD A33999 645 101 off off RP A33999 645 102 or or CC A33999 645 103 Substract Substract NNP A33999 645 104 FI FI NNP A33999 645 105 and and CC A33999 645 106 HK HK NNP A33999 645 107 equal equal JJ A33999 645 108 to to IN A33999 645 109 GC GC NNP A33999 645 110 , , , A33999 645 111 and and CC A33999 645 112 from from IN A33999 645 113 the the DT A33999 645 114 points point NNS A33999 645 115 I -PRON- PRP A33999 645 116 and and CC A33999 645 117 K K NNP A33999 645 118 let let VBD A33999 645 119 fall fall VB A33999 645 120 the the DT A33999 645 121 perpendiculars perpendicular NNS A33999 645 122 IL IL NNP A33999 645 123 , , , A33999 645 124 KM KM NNP A33999 645 125 , , , A33999 645 126 upon upon IN A33999 645 127 the the DT A33999 645 128 Bases Bases NNPS A33999 645 129 AB AB NNP A33999 645 130 , , , A33999 645 131 AD ad NN A33999 645 132 , , , A33999 645 133 afterwards afterwards RB A33999 645 134 draw draw VB A33999 645 135 a a DT A33999 645 136 line line NN A33999 645 137 joyning joyne VBG A33999 645 138 the the DT A33999 645 139 two two CD A33999 645 140 points point NNS A33999 645 141 M M NNP A33999 645 142 , , , A33999 645 143 L L NNP A33999 645 144 , , , A33999 645 145 and and CC A33999 645 146 from from IN A33999 645 147 the the DT A33999 645 148 said say VBN A33999 645 149 points point NNS A33999 645 150 let let VBD A33999 645 151 fall fall VB A33999 645 152 the the DT A33999 645 153 perpendiculars perpendicular NNS A33999 645 154 LN LN NNP A33999 645 155 equal equal JJ A33999 645 156 to to IN A33999 645 157 LI LI NNP A33999 645 158 , , , A33999 645 159 and and CC A33999 645 160 MO MO NNP A33999 645 161 equal equal JJ A33999 645 162 to to IN A33999 645 163 MK MK NNP A33999 645 164 . . . A33999 646 1 Then then RB A33999 646 2 because because IN A33999 646 3 the the DT A33999 646 4 two two CD A33999 646 5 shadows shadow NNS A33999 646 6 AB ab NN A33999 646 7 and and CC A33999 646 8 AD ad NN A33999 646 9 are be VBP A33999 646 10 unequal unequal JJ A33999 646 11 , , , A33999 646 12 in in IN A33999 646 13 like like IN A33999 646 14 manner manner NN A33999 646 15 FB FB NNP A33999 646 16 and and CC A33999 646 17 HD HD NNP A33999 646 18 will will MD A33999 646 19 be be VB A33999 646 20 unequal unequal JJ A33999 646 21 ; ; : A33999 646 22 but but CC A33999 646 23 forasmuch forasmuch NN A33999 646 24 as as IN A33999 646 25 FI FI NNP A33999 646 26 and and CC A33999 646 27 HK HK NNP A33999 646 28 , , , A33999 646 29 are be VBP A33999 646 30 equal equal JJ A33999 646 31 by by IN A33999 646 32 construction construction NN A33999 646 33 , , , A33999 646 34 it -PRON- PRP A33999 646 35 follows follow VBZ A33999 646 36 that that IN A33999 646 37 LI LI NNP A33999 646 38 , , , A33999 646 39 KM KM NNP A33999 646 40 , , , A33999 646 41 or or CC A33999 646 42 LN LN NNP A33999 646 43 and and CC A33999 646 44 MO MO NNP A33999 646 45 will will MD A33999 646 46 be be VB A33999 646 47 unequal unequal JJ A33999 646 48 , , , A33999 646 49 and and CC A33999 646 50 forasmuch forasmuch VB A33999 646 51 as as IN A33999 646 52 these these DT A33999 646 53 latter latter JJ A33999 646 54 lines line NNS A33999 646 55 are be VBP A33999 646 56 parallel parallel JJ A33999 646 57 a a DT A33999 646 58 right right JJ A33999 646 59 line line NN A33999 646 60 that that WDT A33999 646 61 connects connect VBZ A33999 646 62 the the DT A33999 646 63 points point NNS A33999 646 64 O O NNP A33999 646 65 and and CC A33999 646 66 N N NNP A33999 646 67 , , , A33999 646 68 being be VBG A33999 646 69 produced produce VBN A33999 646 70 will will MD A33999 646 71 meet meet VB A33999 646 72 with with IN A33999 646 73 the the DT A33999 646 74 right right JJ A33999 646 75 line line NN A33999 646 76 that that WDT A33999 646 77 joyns joyns NNP A33999 646 78 M M NNP A33999 646 79 , , , A33999 646 80 L L NNP A33999 646 81 produced produce VBD A33999 646 82 , , , A33999 646 83 as as IN A33999 646 84 let let VB A33999 646 85 them -PRON- PRP A33999 646 86 meet meet VB A33999 646 87 in in IN A33999 646 88 the the DT A33999 646 89 point point NN A33999 646 90 P p NN A33999 646 91 , , , A33999 646 92 from from IN A33999 646 93 whence whence NN A33999 646 94 draw draw VB A33999 646 95 a a DT A33999 646 96 Line line NN A33999 646 97 to to IN A33999 646 98 C c NN A33999 646 99 , , , A33999 646 100 and and CC A33999 646 101 it -PRON- PRP A33999 646 102 shall shall MD A33999 646 103 be be VB A33999 646 104 a a DT A33999 646 105 true true JJ A33999 646 106 line line NN A33999 646 107 of of IN A33999 646 108 East East NNP A33999 646 109 and and CC A33999 646 110 West West NNP A33999 646 111 , , , A33999 646 112 and and CC A33999 646 113 any any DT A33999 646 114 Line Line NNP A33999 646 115 perpendicular perpendicular JJ A33999 646 116 thereto thereto NN A33999 646 117 shall shall MD A33999 646 118 be be VB A33999 646 119 a a DT A33999 646 120 Meridian meridian JJ A33999 646 121 line line NN A33999 646 122 , , , A33999 646 123 thus thus RB A33999 646 124 the the DT A33999 646 125 perpendicular perpendicular JJ A33999 646 126 AQ AQ NNP A33999 646 127 let let VBD A33999 646 128 fall fall NN A33999 646 129 thereon thereon NN A33999 646 130 , , , A33999 646 131 is be VBZ A33999 646 132 a a DT A33999 646 133 true true JJ A33999 646 134 Meridian Meridian NNP A33999 646 135 Line Line NNP A33999 646 136 passing pass VBG A33999 646 137 through through IN A33999 646 138 the the DT A33999 646 139 point point NN A33999 646 140 A a NN A33999 646 141 , , , A33999 646 142 the the DT A33999 646 143 place place NN A33999 646 144 of of IN A33999 646 145 the the DT A33999 646 146 stile stile NN A33999 646 147 or or CC A33999 646 148 wyre wyre NNP A33999 646 149 . . . A33999 647 1 Whereto Whereto NNP A33999 647 2 I -PRON- PRP A33999 647 3 adde adde VBP A33999 647 4 that that IN A33999 647 5 if if IN A33999 647 6 MO MO NNP A33999 647 7 & & CC A33999 647 8 LN LN NNP A33999 647 9 retaining retain VBG A33999 647 10 their -PRON- PRP$ A33999 647 11 due due JJ A33999 647 12 quantities quantity NNS A33999 647 13 be be VB A33999 647 14 made make VBN A33999 647 15 parallel parallel JJ A33999 647 16 it -PRON- PRP A33999 647 17 matters matter VBZ A33999 647 18 not not RB A33999 647 19 whether whether IN A33999 647 20 they -PRON- PRP A33999 647 21 are be VBP A33999 647 22 Perpendicular perpendicular JJ A33999 647 23 to to IN A33999 647 24 ML ML NNP A33999 647 25 or or CC A33999 647 26 no no UH A33999 647 27 , , , A33999 647 28 also also RB A33999 647 29 for for IN A33999 647 30 the the DT A33999 647 31 more more RBR A33999 647 32 exact exact JJ A33999 647 33 finding find VBG A33999 647 34 the the DT A33999 647 35 Point Point NNP A33999 647 36 P P NNP A33999 647 37 , , , A33999 647 38 the the DT A33999 647 39 lines line NNS A33999 647 40 MO MO NNP A33999 647 41 and and CC A33999 647 42 LN LN NNP A33999 647 43 , , , A33999 647 44 or or CC A33999 647 45 any any DT A33999 647 46 other other JJ A33999 647 47 line line NN A33999 647 48 drawn draw VBN A33999 647 49 parallel parallel JJ A33999 647 50 to to IN A33999 647 51 them -PRON- PRP A33999 647 52 , , , A33999 647 53 may may MD A33999 647 54 be be VB A33999 647 55 multipyled multipyle VBN A33999 647 56 or or CC A33999 647 57 increased increase VBN A33999 647 58 both both DT A33999 647 59 of of IN A33999 647 60 them -PRON- PRP A33999 647 61 the the DT A33999 647 62 like like JJ A33999 647 63 number number NN A33999 647 64 of of IN A33999 647 65 times time NNS A33999 647 66 from from IN A33999 647 67 the the DT A33999 647 68 points point NNS A33999 647 69 M M NNP A33999 647 70 and and CC A33999 647 71 L L NNP A33999 647 72 upwards upwards RB A33999 647 73 , , , A33999 647 74 as as RB A33999 647 75 also also RB A33999 647 76 from from IN A33999 647 77 the the DT A33999 647 78 points point NNS A33999 647 79 O O NNP A33999 647 80 and and CC A33999 647 81 N n NN A33999 647 82 downwards downward NNS A33999 647 83 , , , A33999 647 84 and and CC A33999 647 85 Lines line NNS A33999 647 86 drawn draw VBN A33999 647 87 through through IN A33999 647 88 the the DT A33999 647 89 points point NNS A33999 647 90 thus thus RB A33999 647 91 discovered discover VBD A33999 647 92 , , , A33999 647 93 shal shal NN A33999 647 94 meet meet NN A33999 647 95 at at IN A33999 647 96 P p NN A33999 647 97 without without IN A33999 647 98 producing produce VBG A33999 647 99 either either CC A33999 647 100 ML ML NNP A33999 647 101 or or CC A33999 647 102 ON ON NNP A33999 647 103 . . . A33999 648 1 See see VB A33999 648 2 15 15 CD A33999 648 3 Prop Prop NNP A33999 648 4 . . . A33999 649 1 of of IN A33999 649 2 5 5 CD A33999 649 3 Euclid Euclid NNP A33999 649 4 . . . A33999 650 1 and and CC A33999 650 2 the the DT A33999 650 3 fourth fourth JJ A33999 650 4 of of IN A33999 650 5 the the DT A33999 650 6 sixth sixth JJ A33999 650 7 Book Book NNP A33999 650 8 . . . A33999 651 1 The the DT A33999 651 2 greater great JJR A33999 651 3 part part NN A33999 651 4 of of IN A33999 651 5 van van NNP A33999 651 6 Schootens Schootens NNP A33999 651 7 Demonstration Demonstration NNP A33999 651 8 is be VBZ A33999 651 9 spent spend VBN A33999 651 10 in in IN A33999 651 11 proving prove VBG A33999 651 12 that that IN A33999 651 13 ML ML NNP A33999 651 14 and and CC A33999 651 15 ON ON NNP A33999 651 16 produced produce VBN A33999 651 17 will will MD A33999 651 18 meet meet VB A33999 651 19 somewhere somewhere RB A33999 651 20 , , , A33999 651 21 this this DT A33999 651 22 for for IN A33999 651 23 the the DT A33999 651 24 reasons reason NNS A33999 651 25 delivered deliver VBN A33999 651 26 in in IN A33999 651 27 the the DT A33999 651 28 construction construction NN A33999 651 29 I -PRON- PRP A33999 651 30 shall shall MD A33999 651 31 assume assume VB A33999 651 32 as as IN A33999 651 33 granted grant VBN A33999 651 34 , , , A33999 651 35 then then RB A33999 651 36 understand understand VB A33999 651 37 that that IN A33999 651 38 the the DT A33999 651 39 three three CD A33999 651 40 Triangles Triangles NNPS A33999 651 41 ABF ABF NNP A33999 651 42 , , , A33999 651 43 ACG ACG NNP A33999 651 44 and and CC A33999 651 45 ADH ADH NNP A33999 651 46 stand stand VBP A33999 651 47 perpendicularly perpendicularly JJ A33999 651 48 erect erect NN A33999 651 49 on on IN A33999 651 50 the the DT A33999 651 51 plain plain NN A33999 651 52 of of IN A33999 651 53 the the DT A33999 651 54 Horizon Horizon NNP A33999 651 55 beneath beneath IN A33999 651 56 them -PRON- PRP A33999 651 57 , , , A33999 651 58 upon upon IN A33999 651 59 the the DT A33999 651 60 right right JJ A33999 651 61 Lines Lines NNP A33999 651 62 AB AB NNP A33999 651 63 , , , A33999 651 64 AC AC NNP A33999 651 65 and and CC A33999 651 66 AD AD NNP A33999 651 67 , , , A33999 651 68 whence whence NN A33999 651 69 it -PRON- PRP A33999 651 70 will will MD A33999 651 71 come come VB A33999 651 72 to to TO A33999 651 73 pass pass VB A33999 651 74 that that IN A33999 651 75 the the DT A33999 651 76 three three CD A33999 651 77 points point NNS A33999 651 78 F F NNP A33999 651 79 , , , A33999 651 80 G G NNP A33999 651 81 , , , A33999 651 82 and and CC A33999 651 83 H h NN A33999 651 84 meet meet VBP A33999 651 85 in in IN A33999 651 86 one one CD A33999 651 87 point point NN A33999 651 88 , , , A33999 651 89 as as IN A33999 651 90 in in IN A33999 651 91 E e NN A33999 651 92 the the DT A33999 651 93 top top NN A33999 651 94 of of IN A33999 651 95 the the DT A33999 651 96 Stile Stile NNP A33999 651 97 AE AE NNP A33999 651 98 , , , A33999 651 99 and and CC A33999 651 100 that that IN A33999 651 101 the the DT A33999 651 102 right right JJ A33999 651 103 lines line NNS A33999 651 104 FB FB NNP A33999 651 105 , , , A33999 651 106 GC GC NNP A33999 651 107 and and CC A33999 651 108 HD HD NNP A33999 651 109 are be VBP A33999 651 110 in in IN A33999 651 111 the the DT A33999 651 112 Conique Conique NNP A33999 651 113 Surface Surface NNP A33999 651 114 of of IN A33999 651 115 the the DT A33999 651 116 shadow shadow NN A33999 651 117 which which WDT A33999 651 118 the the DT A33999 651 119 Sun Sun NNP A33999 651 120 describes describe VBZ A33999 651 121 the the DT A33999 651 122 same same JJ A33999 651 123 day day NN A33999 651 124 by by IN A33999 651 125 his -PRON- PRP$ A33999 651 126 motion motion NN A33999 651 127 , , , A33999 651 128 the the DT A33999 651 129 top top NN A33999 651 130 of of IN A33999 651 131 which which WDT A33999 651 132 Cone Cone NNP A33999 651 133 being be VBG A33999 651 134 the the DT A33999 651 135 point point NN A33999 651 136 E. E. NNP A33999 651 137 Wherefore Wherefore NNP A33999 651 138 if if IN A33999 651 139 from from IN A33999 651 140 those those DT A33999 651 141 right right JJ A33999 651 142 Lines line NNS A33999 651 143 we -PRON- PRP A33999 651 144 substract substract VBP A33999 651 145 or or CC A33999 651 146 cut cut VBD A33999 651 147 off off RP A33999 651 148 the the DT A33999 651 149 right right JJ A33999 651 150 Lines Lines NNPS A33999 651 151 FI FI NNP A33999 651 152 , , , A33999 651 153 GC GC NNP A33999 651 154 and and CC A33999 651 155 HK HK NNP A33999 651 156 being be VBG A33999 651 157 each each DT A33999 651 158 of of IN A33999 651 159 them -PRON- PRP A33999 651 160 equal equal JJ A33999 651 161 to to IN A33999 651 162 one one CD A33999 651 163 another another DT A33999 651 164 , , , A33999 651 165 then then RB A33999 651 166 will will MD A33999 651 167 the the DT A33999 651 168 points point NNS A33999 651 169 I -PRON- PRP A33999 651 170 , , , A33999 651 171 C C NNP A33999 651 172 and and CC A33999 651 173 K K NNP A33999 651 174 , , , A33999 651 175 fall fall VB A33999 651 176 in in IN A33999 651 177 the the DT A33999 651 178 circumference circumference NN A33999 651 179 of of IN A33999 651 180 a a DT A33999 651 181 Circle Circle NNP A33999 651 182 , , , A33999 651 183 the the DT A33999 651 184 plain plain JJ A33999 651 185 whereof whereof NN A33999 651 186 is be VBZ A33999 651 187 parallel parallel JJ A33999 651 188 to to IN A33999 651 189 the the DT A33999 651 190 plain plain NN A33999 651 191 of of IN A33999 651 192 the the DT A33999 651 193 Equator equator NN A33999 651 194 ; ; : A33999 651 195 and and CC A33999 651 196 therefore therefore RB A33999 651 197 if if IN A33999 651 198 through through IN A33999 651 199 the the DT A33999 651 200 points point NNS A33999 651 201 K K NNP A33999 651 202 and and CC A33999 651 203 I -PRON- PRP A33999 651 204 such such PDT A33999 651 205 a a DT A33999 651 206 Position position NN A33999 651 207 a a DT A33999 651 208 right right JJ A33999 651 209 Line line NN A33999 651 210 be be VB A33999 651 211 imagined imagine VBN A33999 651 212 to to TO A33999 651 213 pass pass VB A33999 651 214 , , , A33999 651 215 and and CC A33999 651 216 be be VB A33999 651 217 produced produce VBN A33999 651 218 to to IN A33999 651 219 the the DT A33999 651 220 plain plain NN A33999 651 221 of of IN A33999 651 222 the the DT A33999 651 223 Horizon Horizon NNP A33999 651 224 , , , A33999 651 225 it -PRON- PRP A33999 651 226 will will MD A33999 651 227 meet meet VB A33999 651 228 with with IN A33999 651 229 ML ML NNP A33999 651 230 produced produce VBN A33999 651 231 in in IN A33999 651 232 the the DT A33999 651 233 point point NN A33999 651 234 P p NN A33999 651 235 , , , A33999 651 236 where where WRB A33999 651 237 ON ON NNP A33999 651 238 being be VBG A33999 651 239 produced produce VBN A33999 651 240 , , , A33999 651 241 will will MD A33999 651 242 also also RB A33999 651 243 meet meet VB A33999 651 244 with with IN A33999 651 245 it -PRON- PRP A33999 651 246 ; ; : A33999 651 247 so so IN A33999 651 248 that that IN A33999 651 249 the the DT A33999 651 250 point point NN A33999 651 251 P p NN A33999 651 252 being be VBG A33999 651 253 in in IN A33999 651 254 the the DT A33999 651 255 Plain Plain NNP A33999 651 256 of of IN A33999 651 257 the the DT A33999 651 258 Circle Circle NNP A33999 651 259 , , , A33999 651 260 as as RB A33999 651 261 also also RB A33999 651 262 in in IN A33999 651 263 the the DT A33999 651 264 plain plain NN A33999 651 265 beneath beneath IN A33999 651 266 it -PRON- PRP A33999 651 267 , , , A33999 651 268 as as IN A33999 651 269 also also RB A33999 651 270 the the DT A33999 651 271 point point NN A33999 651 272 C c NN A33999 651 273 being be VBG A33999 651 274 in in IN A33999 651 275 each each DT A33999 651 276 Plain Plain NNP A33999 651 277 , , , A33999 651 278 a a DT A33999 651 279 right right JJ A33999 651 280 line line NN A33999 651 281 drawn draw VBN A33999 651 282 through through IN A33999 651 283 the the DT A33999 651 284 Points Points NNPS A33999 651 285 P P NNP A33999 651 286 and and CC A33999 651 287 C C NNP A33999 651 288 will will MD A33999 651 289 be be VB A33999 651 290 the the DT A33999 651 291 Common Common NNP A33999 651 292 Intersection Intersection NNP A33999 651 293 of of IN A33999 651 294 each each DT A33999 651 295 plain plain JJ A33999 651 296 , , , A33999 651 297 and and CC A33999 651 298 the the DT A33999 651 299 line line NN A33999 651 300 PC pc NN A33999 651 301 will will MD A33999 651 302 be be VB A33999 651 303 parallel parallel JJ A33999 651 304 to to IN A33999 651 305 the the DT A33999 651 306 Plain Plain NNP A33999 651 307 of of IN A33999 651 308 the the DT A33999 651 309 Equator equator NN A33999 651 310 , , , A33999 651 311 and and CC A33999 651 312 is be VBZ A33999 651 313 therefore therefore RB A33999 651 314 a a DT A33999 651 315 true true JJ A33999 651 316 Line Line NNP A33999 651 317 of of IN A33999 651 318 East East NNP A33999 651 319 and and CC A33999 651 320 West West NNP A33999 651 321 , , , A33999 651 322 which which WDT A33999 651 323 was be VBD A33999 651 324 to to TO A33999 651 325 be be VB A33999 651 326 proved prove VBN A33999 651 327 . . . A33999 652 1 On on IN A33999 652 2 all all DT A33999 652 3 Plains Plains NNPS A33999 652 4 though though IN A33999 652 5 they -PRON- PRP A33999 652 6 Decline decline VBP A33999 652 7 , , , A33999 652 8 and and CC A33999 652 9 Recline Recline NNP A33999 652 10 , , , A33999 652 11 or or CC A33999 652 12 Incline Incline NNP A33999 652 13 , , , A33999 652 14 after after IN A33999 652 15 the the DT A33999 652 16 same same JJ A33999 652 17 manner manner NN A33999 652 18 may may MD A33999 652 19 be be VB A33999 652 20 found find VBN A33999 652 21 the the DT A33999 652 22 Line Line NNP A33999 652 23 PC pc NN A33999 652 24 , , , A33999 652 25 which which WDT A33999 652 26 will will MD A33999 652 27 represent represent VB A33999 652 28 the the DT A33999 652 29 Contingent Contingent NNP A33999 652 30 Line Line NNP A33999 652 31 of of IN A33999 652 32 any any DT A33999 652 33 Dyal Dyal NNP A33999 652 34 , , , A33999 652 35 and and CC A33999 652 36 a a DT A33999 652 37 perpendicular perpendicular NN A33999 652 38 raised raise VBN A33999 652 39 upon upon IN A33999 652 40 the the DT A33999 652 41 Line Line NNP A33999 652 42 CP CP NNP A33999 652 43 shall shall MD A33999 652 44 be be VB A33999 652 45 the the DT A33999 652 46 Substilar Substilar NNP A33999 652 47 Line Line NNP A33999 652 48 , , , A33999 652 49 which which WDT A33999 652 50 in in IN A33999 652 51 Oblique Oblique NNP A33999 652 52 Plains Plains NNPS A33999 652 53 is be VBZ A33999 652 54 the the DT A33999 652 55 Meridian Meridian NNP A33999 652 56 of of IN A33999 652 57 the the DT A33999 652 58 Plain Plain NNP A33999 652 59 , , , A33999 652 60 but but CC A33999 652 61 not not RB A33999 652 62 of of IN A33999 652 63 the the DT A33999 652 64 place place NN A33999 652 65 , , , A33999 652 66 unless unless IN A33999 652 67 they -PRON- PRP A33999 652 68 are be VBP A33999 652 69 both both DT A33999 652 70 Coincident Coincident NNP A33999 652 71 from from IN A33999 652 72 this this DT A33999 652 73 manner manner NN A33999 652 74 of of IN A33999 652 75 finding find VBG A33999 652 76 a a DT A33999 652 77 Meridian Meridian NNP A33999 652 78 Line Line NNP A33999 652 79 on on IN A33999 652 80 a a DT A33999 652 81 Horizontal horizontal JJ A33999 652 82 plain plain NN A33999 652 83 , , , A33999 652 84 nothing nothing NN A33999 652 85 else else RB A33999 652 86 can can MD A33999 652 87 be be VB A33999 652 88 deduced deduce VBN A33999 652 89 without without IN A33999 652 90 more more JJR A33999 652 91 Scheams scheam NNS A33999 652 92 : : : A33999 652 93 From from IN A33999 652 94 the the DT A33999 652 95 three three CD A33999 652 96 shadows shadow NNS A33999 652 97 , , , A33999 652 98 may may MD A33999 652 99 be be VB A33999 652 100 had have VBN A33999 652 101 the the DT A33999 652 102 three three CD A33999 652 103 Altitudes Altitudes NNPS A33999 652 104 , , , A33999 652 105 and and CC A33999 652 106 the the DT A33999 652 107 Meridian meridian JJ A33999 652 108 line line NN A33999 652 109 being be VBG A33999 652 110 given give VBN A33999 652 111 , , , A33999 652 112 the the DT A33999 652 113 Azimuths azimuth NNS A33999 652 114 to to IN A33999 652 115 those those DT A33999 652 116 three three CD A33999 652 117 shadows shadow NNS A33999 652 118 are be VBP A33999 652 119 likewise likewise RB A33999 652 120 given give VBN A33999 652 121 , , , A33999 652 122 which which WDT A33999 652 123 is be VBZ A33999 652 124 more more JJR A33999 652 125 then then RB A33999 652 126 need nee MD A33999 652 127 be be VB A33999 652 128 required require VBN A33999 652 129 in in IN A33999 652 130 order order NN A33999 652 131 to to IN A33999 652 132 the the DT A33999 652 133 finding finding NN A33999 652 134 of of IN A33999 652 135 the the DT A33999 652 136 Latitude Latitude NNP A33999 652 137 of of IN A33999 652 138 the the DT A33999 652 139 place place NN A33999 652 140 , , , A33999 652 141 and and CC A33999 652 142 the the DT A33999 652 143 Declination Declination NNP A33999 652 144 and and CC A33999 652 145 Amplitude Amplitude NNP A33999 652 146 of of IN A33999 652 147 the the DT A33999 652 148 Sun Sun NNP A33999 652 149 , , , A33999 652 150 which which WDT A33999 652 151 because because IN A33999 652 152 this this DT A33999 652 153 Scheam Scheam NNP A33999 652 154 doth doth NN A33999 652 155 not not RB A33999 652 156 perform perform VBP A33999 652 157 of of IN A33999 652 158 it -PRON- PRP A33999 652 159 self self NN A33999 652 160 , , , A33999 652 161 I -PRON- PRP A33999 652 162 shall shall MD A33999 652 163 adde adde VB A33999 652 164 another another DT A33999 652 165 to to IN A33999 652 166 that that DT A33999 652 167 purpose purpose NN A33999 652 168 . . . A33999 653 1 By by IN A33999 653 2 three three CD A33999 653 3 Altitudes altitude NNS A33999 653 4 of of IN A33999 653 5 the the DT A33999 653 6 Sun Sun NNP A33999 653 7 , , , A33999 653 8 and and CC A33999 653 9 three three CD A33999 653 10 shadows shadow NNS A33999 653 11 of of IN A33999 653 12 an an DT A33999 653 13 Index Index NNP A33999 653 14 on on IN A33999 653 15 an an DT A33999 653 16 Horizontal Horizontal NNP A33999 653 17 Plain Plain NNP A33999 653 18 , , , A33999 653 19 to to TO A33999 653 20 finde finde VB A33999 653 21 a a DT A33999 653 22 true true JJ A33999 653 23 Meridian Meridian NNP A33999 653 24 Line Line NNP A33999 653 25 , , , A33999 653 26 and and CC A33999 653 27 consequently consequently RB A33999 653 28 the the DT A33999 653 29 Azimuths azimuth NNS A33999 653 30 of of IN A33999 653 31 those those DT A33999 653 32 shadows shadow NNS A33999 653 33 , , , A33999 653 34 the the DT A33999 653 35 Latitude Latitude NNP A33999 653 36 of of IN A33999 653 37 the the DT A33999 653 38 place place NN A33999 653 39 , , , A33999 653 40 the the DT A33999 653 41 Suns Suns NNP A33999 653 42 Amplitude Amplitude NNP A33999 653 43 and and CC A33999 653 44 Declination Declination NNP A33999 653 45 . . . A33999 654 1 Let let VB A33999 654 2 the the DT A33999 654 3 three three CD A33999 654 4 shadows shadow NNS A33999 654 5 be be VB A33999 654 6 CA CA NNP A33999 654 7 , , , A33999 654 8 the the DT A33999 654 9 Altitude altitude NN A33999 654 10 whereto whereto NN A33999 654 11 is be VBZ A33999 654 12 AF AF NNP A33999 654 13 22d 22d CD A33999 654 14 , , , A33999 654 15 28′ 28′ CD A33999 654 16 The the DT A33999 654 17 second second JJ A33999 654 18 shadow shadow NN A33999 654 19 CB CB NNP A33999 654 20 , , , A33999 654 21 the the DT A33999 654 22 Altitude altitude NN A33999 654 23 whereto whereto NN A33999 654 24 is be VBZ A33999 654 25 BG BG NNP A33999 654 26 59d 59d CD A33999 654 27 , , , A33999 654 28 21′ 21′ CD A33999 654 29 both both CC A33999 654 30 these these DT A33999 654 31 in in IN A33999 654 32 the the DT A33999 654 33 morning morning NN A33999 654 34 , , , A33999 654 35 The the DT A33999 654 36 third third JJ A33999 654 37 shadow shadow NN A33999 654 38 in in IN A33999 654 39 the the DT A33999 654 40 afternoon afternoon NN A33999 654 41 CD cd NN A33999 654 42 the the DT A33999 654 43 — — : A33999 654 44 Altitude altitude NN A33999 654 45 whereto whereto NN A33999 654 46 is be VBZ A33999 654 47 — — : A33999 654 48 DH DH NNP A33999 654 49 18d 18d NNS A33999 654 50 , , , A33999 654 51 20′ 20′ CD A33999 654 52 Let let VB A33999 654 53 the the DT A33999 654 54 Angle Angle NNP A33999 654 55 ACB ACB NNP A33999 654 56 be be VB A33999 654 57 70d 70d NNS A33999 654 58 , , , A33999 654 59 and and CC A33999 654 60 the the DT A33999 654 61 Angle Angle NNP A33999 654 62 BCD BCD NNP A33999 654 63 135d 135d NNS A33999 654 64 , , , A33999 654 65 by by IN A33999 654 66 following follow VBG A33999 654 67 Operations Operations NNPS A33999 654 68 we -PRON- PRP A33999 654 69 shall shall MD A33999 654 70 finde finde VB A33999 654 71 that that WDT A33999 654 72 the the DT A33999 654 73 shadow shadow NN A33999 654 74 CA CA NNP A33999 654 75 , , , A33999 654 76 is be VBZ A33999 654 77 10d 10d NNS A33999 654 78 to to IN A33999 654 79 Southwards Southwards NNP A33999 654 80 of of IN A33999 654 81 the the DT A33999 654 82 West West NNP A33999 654 83 , , , A33999 654 84 that that IN A33999 654 85 the the DT A33999 654 86 shadow shadow NN A33999 654 87 CB CB NNP A33999 654 88 is be VBZ A33999 654 89 60d 60d NNS A33999 654 90 to to IN A33999 654 91 Northwards Northwards NNPS A33999 654 92 of of IN A33999 654 93 the the DT A33999 654 94 West West NNP A33999 654 95 , , , A33999 654 96 that that IN A33999 654 97 the the DT A33999 654 98 shadow shadow NN A33999 654 99 CD cd NN A33999 654 100 is be VBZ A33999 654 101 15d 15d NNS A33999 654 102 Southwards southward NNS A33999 654 103 of of IN A33999 654 104 the the DT A33999 654 105 East East NNP A33999 654 106 . . . A33999 655 1 Having have VBG A33999 655 2 from from IN A33999 655 3 the the DT A33999 655 4 three three CD A33999 655 5 shadows shadow NNS A33999 655 6 prickt prickt NNS A33999 655 7 off off IN A33999 655 8 the the DT A33999 655 9 three three CD A33999 655 10 Altitudes Altitudes NNPS A33999 655 11 to to IN A33999 655 12 F F NNP A33999 655 13 , , , A33999 655 14 G G NNP A33999 655 15 , , , A33999 655 16 and and CC A33999 655 17 H h NN A33999 655 18 , , , A33999 655 19 from from IN A33999 655 20 those those DT A33999 655 21 points point NNS A33999 655 22 to to IN A33999 655 23 the the DT A33999 655 24 shadows shadow NNS A33999 655 25 belonging belong VBG A33999 655 26 to to IN A33999 655 27 them -PRON- PRP A33999 655 28 , , , A33999 655 29 let let VB A33999 655 30 fall fall VB A33999 655 31 the the DT A33999 655 32 perpendiculars perpendicular NNS A33999 655 33 FI FI NNP A33999 655 34 , , , A33999 655 35 GK GK NNP A33999 655 36 , , , A33999 655 37 HL HL NNP A33999 655 38 , , , A33999 655 39 which which WDT A33999 655 40 shall shall MD A33999 655 41 be be VB A33999 655 42 the the DT A33999 655 43 Sines Sines NNPS A33999 655 44 of of IN A33999 655 45 those those DT A33999 655 46 Altitudes altitude NNS A33999 655 47 , , , A33999 655 48 and and CC A33999 655 49 the the DT A33999 655 50 Bases Bases NNPS A33999 655 51 IC IC NNP A33999 655 52 , , , A33999 655 53 KC KC NNP A33999 655 54 , , , A33999 655 55 and and CC A33999 655 56 LC LC NNP A33999 655 57 shall shall MD A33999 655 58 be be VB A33999 655 59 the the DT A33999 655 60 Cosines Cosines NNPS A33999 655 61 , , , A33999 655 62 from from IN A33999 655 63 the the DT A33999 655 64 point point NN A33999 655 65 K k NN A33999 655 66 in in IN A33999 655 67 the the DT A33999 655 68 greater great JJR A33999 655 69 Altitude altitude NN A33999 655 70 , , , A33999 655 71 draw draw VBP A33999 655 72 Lines line NNS A33999 655 73 to to IN A33999 655 74 the the DT A33999 655 75 points point NNS A33999 655 76 I -PRON- PRP A33999 655 77 and and CC A33999 655 78 L l NN A33999 655 79 in in IN A33999 655 80 the the DT A33999 655 81 lesser less JJR A33999 655 82 Altitudes altitude NNS A33999 655 83 and and CC A33999 655 84 produce produce VBP A33999 655 85 those those DT A33999 655 86 lines line NNS A33999 655 87 . . . A33999 656 1 From from IN A33999 656 2 the the DT A33999 656 3 points point NNS A33999 656 4 K K NNP A33999 656 5 and and CC A33999 656 6 I -PRON- PRP A33999 656 7 , , , A33999 656 8 the the DT A33999 656 9 Sines Sines NNPS A33999 656 10 of of IN A33999 656 11 the the DT A33999 656 12 two two CD A33999 656 13 Altitudes Altitudes NNPS A33999 656 14 , , , A33999 656 15 are be VBP A33999 656 16 to to TO A33999 656 17 be be VB A33999 656 18 erected erect VBN A33999 656 19 perpendicularly perpendicularly RB A33999 656 20 , , , A33999 656 21 thus thus RB A33999 656 22 KM KM NNP A33999 656 23 is be VBZ A33999 656 24 made make VBN A33999 656 25 equal equal JJ A33999 656 26 to to IN A33999 656 27 KG KG NNP A33999 656 28 , , , A33999 656 29 and and CC A33999 656 30 IN IN NNP A33999 656 31 is be VBZ A33999 656 32 made make VBN A33999 656 33 equal equal JJ A33999 656 34 to to IN A33999 656 35 IF IF NNP A33999 656 36 , , , A33999 656 37 then then RB A33999 656 38 producing produce VBG A33999 656 39 MN MN NNP A33999 656 40 and and CC A33999 656 41 KI KI NNP A33999 656 42 , , , A33999 656 43 where where WRB A33999 656 44 they -PRON- PRP A33999 656 45 meet meet VBP A33999 656 46 as as IN A33999 656 47 at at IN A33999 656 48 W w NN A33999 656 49 , , , A33999 656 50 is be VBZ A33999 656 51 one one CD A33999 656 52 point point NN A33999 656 53 , , , A33999 656 54 where where WRB A33999 656 55 the the DT A33999 656 56 plain plain NN A33999 656 57 of of IN A33999 656 58 the the DT A33999 656 59 Suns Suns NNPS A33999 656 60 parallel parallel NN A33999 656 61 of of IN A33999 656 62 Declination Declination NNP A33999 656 63 intersects intersect VBZ A33999 656 64 the the DT A33999 656 65 plain plain NN A33999 656 66 of of IN A33999 656 67 the the DT A33999 656 68 Horizon Horizon NNP A33999 656 69 ; ; : A33999 656 70 in in IN A33999 656 71 like like IN A33999 656 72 manner manner NN A33999 656 73 on on IN A33999 656 74 the the DT A33999 656 75 Base Base NNP A33999 656 76 KL KL NNP A33999 656 77 , , , A33999 656 78 the the DT A33999 656 79 Sines Sines NNPS A33999 656 80 of of IN A33999 656 81 two two CD A33999 656 82 Altitudes Altitudes NNPS A33999 656 83 KG KG NNP A33999 656 84 , , , A33999 656 85 and and CC A33999 656 86 LH LH NNP A33999 656 87 , , , A33999 656 88 ought ought MD A33999 656 89 to to TO A33999 656 90 stand stand VB A33999 656 91 perpendicularly perpendicularly RB A33999 656 92 from from IN A33999 656 93 the the DT A33999 656 94 points point NNS A33999 656 95 K K NNP A33999 656 96 and and CC A33999 656 97 L L NNP A33999 656 98 in in IN A33999 656 99 their -PRON- PRP$ A33999 656 100 common common JJ A33999 656 101 Base Base NNP A33999 656 102 , , , A33999 656 103 but but CC A33999 656 104 if if IN A33999 656 105 they -PRON- PRP A33999 656 106 retain retain VBP A33999 656 107 the the DT A33999 656 108 same same JJ A33999 656 109 height height NN A33999 656 110 , , , A33999 656 111 and and CC A33999 656 112 are be VBP A33999 656 113 made make VBN A33999 656 114 parallel parallel JJ A33999 656 115 to to IN A33999 656 116 one one CD A33999 656 117 another another DT A33999 656 118 , , , A33999 656 119 a a DT A33999 656 120 line line NN A33999 656 121 joyning joyne VBG A33999 656 122 the the DT A33999 656 123 points point NNS A33999 656 124 of of IN A33999 656 125 the the DT A33999 656 126 tops top NNS A33999 656 127 of of IN A33999 656 128 those those DT A33999 656 129 Sines Sines NNPS A33999 656 130 produced produce VBD A33999 656 131 , , , A33999 656 132 shall shall MD A33999 656 133 meet meet VB A33999 656 134 with with IN A33999 656 135 the the DT A33999 656 136 line line NN A33999 656 137 joyning joyne VBG A33999 656 138 the the DT A33999 656 139 points point NNS A33999 656 140 of of IN A33999 656 141 their -PRON- PRP$ A33999 656 142 Bases basis NNS A33999 656 143 produced produce VBN A33999 656 144 , , , A33999 656 145 in in IN A33999 656 146 the the DT A33999 656 147 same same JJ A33999 656 148 point point NN A33999 656 149 as as IN A33999 656 150 if if IN A33999 656 151 they -PRON- PRP A33999 656 152 were be VBD A33999 656 153 perpendicular perpendicular JJ A33999 656 154 . . . A33999 657 1 Thus thus RB A33999 657 2 KP KP NNP A33999 657 3 and and CC A33999 657 4 LQ LQ NNP A33999 657 5 are be VBP A33999 657 6 drawn draw VBN A33999 657 7 at at IN A33999 657 8 pleasure pleasure NN A33999 657 9 through through IN A33999 657 10 the the DT A33999 657 11 points point NNS A33999 657 12 K K NNP A33999 657 13 , , , A33999 657 14 and and CC A33999 657 15 L l NN A33999 657 16 parallel parallel VBP A33999 657 17 one one CD A33999 657 18 to to IN A33999 657 19 another another DT A33999 657 20 , , , A33999 657 21 and and CC A33999 657 22 KG kg NN A33999 657 23 is be VBZ A33999 657 24 the the DT A33999 657 25 Sine Sine NNP A33999 657 26 of of IN A33999 657 27 the the DT A33999 657 28 greater great JJR A33999 657 29 Altitude Altitude NNP A33999 657 30 , , , A33999 657 31 and and CC A33999 657 32 LO LO NNP A33999 657 33 is be VBZ A33999 657 34 equal equal JJ A33999 657 35 to to IN A33999 657 36 the the DT A33999 657 37 Sine Sine NNP A33999 657 38 of of IN A33999 657 39 the the DT A33999 657 40 lesser less JJR A33999 657 41 Altitude altitude NN A33999 657 42 , , , A33999 657 43 and and CC A33999 657 44 these these DT A33999 657 45 two two CD A33999 657 46 points point NNS A33999 657 47 being be VBG A33999 657 48 joyned joyne VBN A33999 657 49 with with IN A33999 657 50 the the DT A33999 657 51 Line Line NNP A33999 657 52 OG OG NNP A33999 657 53 produced produce VBD A33999 657 54 , , , A33999 657 55 meets meet VBZ A33999 657 56 with with IN A33999 657 57 the the DT A33999 657 58 Line Line NNP A33999 657 59 KL KL NNP A33999 657 60 produced produce VBD A33999 657 61 , , , A33999 657 62 in in IN A33999 657 63 the the DT A33999 657 64 point point NN A33999 657 65 E e NN A33999 657 66 , , , A33999 657 67 another another DT A33999 657 68 point point NN A33999 657 69 where where WRB A33999 657 70 the the DT A33999 657 71 plain plain NN A33999 657 72 of of IN A33999 657 73 the the DT A33999 657 74 Suns Suns NNPS A33999 657 75 parallel parallel NN A33999 657 76 intersects intersect VBZ A33999 657 77 the the DT A33999 657 78 plain plain NN A33999 657 79 of of IN A33999 657 80 the the DT A33999 657 81 Horizon Horizon NNP A33999 657 82 . . . A33999 658 1 Or or CC A33999 658 2 you -PRON- PRP A33999 658 3 may may MD A33999 658 4 double double VB A33999 658 5 KG kg NN A33999 658 6 , , , A33999 658 7 and and CC A33999 658 8 finde finde NNP A33999 658 9 , , , A33999 658 10 the the DT A33999 658 11 point point NN A33999 658 12 P p NN A33999 658 13 , , , A33999 658 14 as as RB A33999 658 15 also also RB A33999 658 16 double double JJ A33999 658 17 LO LO NNP A33999 658 18 and and CC A33999 658 19 finde finde NNP A33999 658 20 the the DT A33999 658 21 point point NN A33999 658 22 Q Q NNP A33999 658 23 , , , A33999 658 24 a a DT A33999 658 25 line line NN A33999 658 26 drawn draw VBN A33999 658 27 through through IN A33999 658 28 P p NN A33999 658 29 and and CC A33999 658 30 Q Q NNP A33999 658 31 , , , A33999 658 32 findes find VBZ A33999 658 33 the the DT A33999 658 34 point point NN A33999 658 35 E e NN A33999 658 36 , , , A33999 658 37 as as IN A33999 658 38 before before RB A33999 658 39 , , , A33999 658 40 but but CC A33999 658 41 with with IN A33999 658 42 more more JJR A33999 658 43 certainty certainty NN A33999 658 44 . . . A33999 659 1 If if IN A33999 659 2 you -PRON- PRP A33999 659 3 joyn joyn VBP A33999 659 4 EW EW NNP A33999 659 5 it -PRON- PRP A33999 659 6 shall shall MD A33999 659 7 be be VB A33999 659 8 a a DT A33999 659 9 true true JJ A33999 659 10 Line Line NNP A33999 659 11 of of IN A33999 659 12 East East NNP A33999 659 13 and and CC A33999 659 14 West West NNP A33999 659 15 , , , A33999 659 16 and and CC A33999 659 17 a a DT A33999 659 18 perpendicular perpendicular NN A33999 659 19 let let NN A33999 659 20 fall fall VB A33999 659 21 thereon thereon NN A33999 659 22 from from IN A33999 659 23 C C NNP A33999 659 24 the the DT A33999 659 25 Center Center NNP A33999 659 26 , , , A33999 659 27 shall shall MD A33999 659 28 be be VB A33999 659 29 a a DT A33999 659 30 true true JJ A33999 659 31 Meridian meridian JJ A33999 659 32 line line NN A33999 659 33 to to IN A33999 659 34 the the DT A33999 659 35 perpendicular perpendicular JJ A33999 659 36 Stile Stile NNP A33999 659 37 or or CC A33999 659 38 wyer wyer NNP A33999 659 39 , , , A33999 659 40 as as IN A33999 659 41 is be VBZ A33999 659 42 CS CS NNP A33999 659 43 . . . A33999 660 1 The the DT A33999 660 2 Arch Arch NNP A33999 660 3 SR SR NNP A33999 660 4 is be VBZ A33999 660 5 the the DT A33999 660 6 Suns Suns NNPS A33999 660 7 Amplitude Amplitude NNP A33999 660 8 from from IN A33999 660 9 the the DT A33999 660 10 North North NNP A33999 660 11 50d 50d NNS A33999 660 12 6′ 6′ CD A33999 660 13 the the DT A33999 660 14 shadow shadow NN A33999 660 15 being be VBG A33999 660 16 contrary contrary JJ A33999 660 17 to to IN A33999 660 18 the the DT A33999 660 19 Sun Sun NNP A33999 660 20 , , , A33999 660 21 casts cast VBZ A33999 660 22 his -PRON- PRP$ A33999 660 23 parallel parallel NN A33999 660 24 towards towards IN A33999 660 25 the the DT A33999 660 26 South South NNP A33999 660 27 . . . A33999 661 1 Draw draw VB A33999 661 2 KT KT NNP A33999 661 3 parallel parallel NN A33999 661 4 to to IN A33999 661 5 SC SC NNP A33999 661 6 , , , A33999 661 7 and and CC A33999 661 8 it -PRON- PRP A33999 661 9 shall shall MD A33999 661 10 be be VB A33999 661 11 the the DT A33999 661 12 perpendicular perpendicular JJ A33999 661 13 distance distance NN A33999 661 14 between between IN A33999 661 15 the the DT A33999 661 16 Sine Sine NNP A33999 661 17 of of IN A33999 661 18 the the DT A33999 661 19 Suns Suns NNPS A33999 661 20 greatest great JJS A33999 661 21 Altitude altitude NN A33999 661 22 , , , A33999 661 23 and and CC A33999 661 24 the the DT A33999 661 25 Intersection intersection NN A33999 661 26 of of IN A33999 661 27 his -PRON- PRP$ A33999 661 28 parallel parallel NN A33999 661 29 with with IN A33999 661 30 the the DT A33999 661 31 Horizon Horizon NNP A33999 661 32 . . . A33999 662 1 Upon upon IN A33999 662 2 K K NNP A33999 662 3 erect erect NN A33999 662 4 KV KV NNP A33999 662 5 equal equal JJ A33999 662 6 to to IN A33999 662 7 the the DT A33999 662 8 Sine Sine NNP A33999 662 9 of of IN A33999 662 10 the the DT A33999 662 11 Suns Suns NNPS A33999 662 12 greatest great JJS A33999 662 13 Altitude altitude NN A33999 662 14 of of IN A33999 662 15 the the DT A33999 662 16 three three CD A33999 662 17 KG KG NNP A33999 662 18 , , , A33999 662 19 and and CC A33999 662 20 the the DT A33999 662 21 Angle angle JJ A33999 662 22 KTV KTV NNP A33999 662 23 shall shall MD A33999 662 24 be be VB A33999 662 25 equal equal JJ A33999 662 26 to to IN A33999 662 27 the the DT A33999 662 28 complement complement NN A33999 662 29 of of IN A33999 662 30 the the DT A33999 662 31 Latitude Latitude NNP A33999 662 32 , , , A33999 662 33 for for IN A33999 662 34 the the DT A33999 662 35 Angle Angle NNP A33999 662 36 between between IN A33999 662 37 the the DT A33999 662 38 plain plain NN A33999 662 39 of of IN A33999 662 40 any any DT A33999 662 41 parallel parallel NN A33999 662 42 of of IN A33999 662 43 declination declination NN A33999 662 44 and and CC A33999 662 45 the the DT A33999 662 46 Plain Plain NNP A33999 662 47 of of IN A33999 662 48 the the DT A33999 662 49 Horizon Horizon NNP A33999 662 50 , , , A33999 662 51 is be VBZ A33999 662 52 always always RB A33999 662 53 equal equal JJ A33999 662 54 to to IN A33999 662 55 the the DT A33999 662 56 complement complement NN A33999 662 57 of of IN A33999 662 58 the the DT A33999 662 59 Latitude Latitude NNP A33999 662 60 , , , A33999 662 61 and and CC A33999 662 62 if if IN A33999 662 63 upon upon IN A33999 662 64 T T NNP A33999 662 65 as as IN A33999 662 66 a a DT A33999 662 67 Center Center NNP A33999 662 68 with with IN A33999 662 69 the the DT A33999 662 70 Radius Radius NNP A33999 662 71 CS CS NNP A33999 662 72 , , , A33999 662 73 you -PRON- PRP A33999 662 74 describe describe VBP A33999 662 75 the the DT A33999 662 76 Ark Ark NNP A33999 662 77 KX KX NNP A33999 662 78 , , , A33999 662 79 the the DT A33999 662 80 said say VBD A33999 662 81 Ark Ark NNP A33999 662 82 shall shall MD A33999 662 83 measure measure VB A33999 662 84 the the DT A33999 662 85 complement complement NN A33999 662 86 of of IN A33999 662 87 the the DT A33999 662 88 Latitude Latitude NNP A33999 662 89 in in IN A33999 662 90 this this DT A33999 662 91 example example NN A33999 662 92 38d 38d NNS A33999 662 93 28′ 28′ CD A33999 662 94 which which WDT A33999 662 95 being be VBG A33999 662 96 given give VBN A33999 662 97 together together RB A33999 662 98 with with IN A33999 662 99 the the DT A33999 662 100 Sine Sine NNP A33999 662 101 of of IN A33999 662 102 the the DT A33999 662 103 Amplitude Amplitude NNP A33999 662 104 CY CY NNP A33999 662 105 , , , A33999 662 106 it -PRON- PRP A33999 662 107 will will MD A33999 662 108 be be VB A33999 662 109 easie easie VBN A33999 662 110 to to TO A33999 662 111 draw draw VB A33999 662 112 a a DT A33999 662 113 Scheme Scheme NNP A33999 662 114 of of IN A33999 662 115 the the DT A33999 662 116 Analemma Analemma NNP A33999 662 117 , , , A33999 662 118 whereby whereby WRB A33999 662 119 to to TO A33999 662 120 finde finde VB A33999 662 121 the the DT A33999 662 122 Suns Suns NNP A33999 662 123 declination declination NN A33999 662 124 , , , A33999 662 125 the the DT A33999 662 126 time time NN A33999 662 127 of of IN A33999 662 128 rising rise VBG A33999 662 129 , , , A33999 662 130 and and CC A33999 662 131 setting set VBG A33999 662 132 , , , A33999 662 133 his -PRON- PRP$ A33999 662 134 height height NN A33999 662 135 at at IN A33999 662 136 six six CD A33999 662 137 the the DT A33999 662 138 Azimuth Azimuth NNP A33999 662 139 thereto thereto NN A33999 662 140 , , , A33999 662 141 the the DT A33999 662 142 Vertical Vertical NNP A33999 662 143 Altitude Altitude NNP A33999 662 144 and and CC A33999 662 145 hour hour NN A33999 662 146 thereto thereto NNP A33999 662 147 , , , A33999 662 148 & & CC A33999 662 149 c. c. NNP A33999 662 150 and and CC A33999 662 151 many many JJ A33999 662 152 other other JJ A33999 662 153 propositions proposition NNS A33999 662 154 depending depend VBG A33999 662 155 on on IN A33999 662 156 the the DT A33999 662 157 Suns Suns NNP A33999 662 158 motion motion NN A33999 662 159 , , , A33999 662 160 as as IN A33999 662 161 I -PRON- PRP A33999 662 162 have have VBP A33999 662 163 elsewhere elsewhere RB A33999 662 164 shewed shew VBN A33999 662 165 . . . A33999 663 1 The the DT A33999 663 2 whole whole JJ A33999 663 3 ground ground NN A33999 663 4 hereof hereof NNP A33999 663 5 is be VBZ A33999 663 6 , , , A33999 663 7 that that IN A33999 663 8 a a DT A33999 663 9 right right JJ A33999 663 10 line line NN A33999 663 11 extended extend VBN A33999 663 12 through through IN A33999 663 13 the the DT A33999 663 14 tops top NNS A33999 663 15 of of IN A33999 663 16 the the DT A33999 663 17 Sines Sines NNPS A33999 663 18 of of IN A33999 663 19 any any DT A33999 663 20 two two CD A33999 663 21 Altitudes altitude NNS A33999 663 22 of of IN A33999 663 23 the the DT A33999 663 24 Sun Sun NNP A33999 663 25 taken take VBD A33999 663 26 the the DT A33999 663 27 same same JJ A33999 663 28 day day NN A33999 663 29 before before IN A33999 663 30 his -PRON- PRP$ A33999 663 31 declination declination NN A33999 663 32 very very RB A33999 663 33 , , , A33999 663 34 shall shall MD A33999 663 35 meet meet VB A33999 663 36 with with IN A33999 663 37 the the DT A33999 663 38 Plain Plain NNP A33999 663 39 of of IN A33999 663 40 the the DT A33999 663 41 Horizon Horizon NNP A33999 663 42 in in IN A33999 663 43 such such PDT A33999 663 44 a a DT A33999 663 45 point point NN A33999 663 46 where where WRB A33999 663 47 the the DT A33999 663 48 Plain Plain NNP A33999 663 49 of of IN A33999 663 50 the the DT A33999 663 51 Suns Suns NNPS A33999 663 52 parallel parallel NN A33999 663 53 intersects intersect VBZ A33999 663 54 the the DT A33999 663 55 Plain Plain NNP A33999 663 56 of of IN A33999 663 57 the the DT A33999 663 58 Horizon Horizon NNP A33999 663 59 , , , A33999 663 60 and and CC A33999 663 61 finding finding NN A33999 663 62 of of IN A33999 663 63 two two CD A33999 663 64 such such JJ A33999 663 65 points point NNS A33999 663 66 , , , A33999 663 67 a a DT A33999 663 68 line line NN A33999 663 69 drawn draw VBN A33999 663 70 through through IN A33999 663 71 them -PRON- PRP A33999 663 72 , , , A33999 663 73 must must MD A33999 663 74 needs needs VB A33999 663 75 represent represent VB A33999 663 76 the the DT A33999 663 77 intersection intersection NN A33999 663 78 of of IN A33999 663 79 those those DT A33999 663 80 two two CD A33999 663 81 Plain Plain NNP A33999 663 82 ; ; : A33999 663 83 in in IN A33999 663 84 the the DT A33999 663 85 former former JJ A33999 663 86 Scheme Scheme NNP A33999 663 87 the the DT A33999 663 88 Sines Sines NNPS A33999 663 89 of of IN A33999 663 90 the the DT A33999 663 91 two two CD A33999 663 92 Altitudes altitude NNS A33999 663 93 are be VBP A33999 663 94 KM KM NNP A33999 663 95 and and CC A33999 663 96 IN IN NNP A33999 663 97 , , , A33999 663 98 a a DT A33999 663 99 line line NN A33999 663 100 drawn draw VBN A33999 663 101 through through IN A33999 663 102 the the DT A33999 663 103 bottomes bottome NNS A33999 663 104 of of IN A33999 663 105 those those DT A33999 663 106 Sines Sines NNPS A33999 663 107 , , , A33999 663 108 as as IN A33999 663 109 KI KI NNP A33999 663 110 extended extend VBN A33999 663 111 shall shall MD A33999 663 112 be be VB A33999 663 113 in in IN A33999 663 114 the the DT A33999 663 115 Horizontal Horizontal NNP A33999 663 116 Plain Plain NNP A33999 663 117 , , , A33999 663 118 and and CC A33999 663 119 the the DT A33999 663 120 Line Line NNP A33999 663 121 MN MN NNP A33999 663 122 extended extend VBD A33999 663 123 through through IN A33999 663 124 the the DT A33999 663 125 tops top NNS A33999 663 126 of of IN A33999 663 127 those those DT A33999 663 128 Sines Sines NNPS A33999 663 129 is be VBZ A33999 663 130 in in IN A33999 663 131 the the DT A33999 663 132 plain plain NN A33999 663 133 of of IN A33999 663 134 the the DT A33999 663 135 Suns Suns NNPS A33999 663 136 parallel parallel NN A33999 663 137 , , , A33999 663 138 as as RB A33999 663 139 also also RB A33999 663 140 in in IN A33999 663 141 the the DT A33999 663 142 Horizontal horizontal JJ A33999 663 143 plain plain NN A33999 663 144 ; ; : A33999 663 145 now now RB A33999 663 146 whether whether IN A33999 663 147 these these DT A33999 663 148 Lines line NNS A33999 663 149 stand stand VBP A33999 663 150 erect erect NN A33999 663 151 or or CC A33999 663 152 no no DT A33999 663 153 is be VBZ A33999 663 154 not not RB A33999 663 155 material material JJ A33999 663 156 , , , A33999 663 157 provided provide VBN A33999 663 158 they -PRON- PRP A33999 663 159 retain retain VBP A33999 663 160 their -PRON- PRP$ A33999 663 161 Parallelisme Parallelisme NNP A33999 663 162 and and CC A33999 663 163 due due JJ A33999 663 164 length length NN A33999 663 165 , , , A33999 663 166 and and CC A33999 663 167 pass pass VB A33999 663 168 through through RP A33999 663 169 the the DT A33999 663 170 points point NNS A33999 663 171 of of IN A33999 663 172 their -PRON- PRP$ A33999 663 173 Bases basis NNS A33999 663 174 I -PRON- PRP A33999 663 175 , , , A33999 663 176 K K NNP A33999 663 177 , , , A33999 663 178 for for IN A33999 663 179 the the DT A33999 663 180 proportion proportion NN A33999 663 181 of of IN A33999 663 182 the the DT A33999 663 183 perpendiculars perpendicular NNS A33999 663 184 to to IN A33999 663 185 their -PRON- PRP$ A33999 663 186 Bases basis NNS A33999 663 187 , , , A33999 663 188 will will MD A33999 663 189 be be VB A33999 663 190 the the DT A33999 663 191 same same JJ A33999 663 192 notwithstanding notwithstanding IN A33999 663 193 they -PRON- PRP A33999 663 194 incline incline VBP A33999 663 195 to to IN A33999 663 196 the the DT A33999 663 197 Horizon Horizon NNP A33999 663 198 . . . A33999 664 1 To to TO A33999 664 2 Calculate calculate VB A33999 664 3 the the DT A33999 664 4 Latitude Latitude NNP A33999 664 5 , , , A33999 664 6 & & CC A33999 664 7 c. c. NNP A33999 664 8 from from IN A33999 664 9 three three CD A33999 664 10 shadows shadow NNS A33999 664 11 . . . A33999 665 1 A a DT A33999 665 2 usual usual JJ A33999 665 3 and and CC A33999 665 4 one one CD A33999 665 5 of of IN A33999 665 6 the the DT A33999 665 7 most most RBS A33999 665 8 troublesome troublesome JJ A33999 665 9 propositions proposition NNS A33999 665 10 in in IN A33999 665 11 Spherical Spherical NNP A33999 665 12 Trigonometry Trigonometry NNP A33999 665 13 , , , A33999 665 14 is be VBZ A33999 665 15 from from IN A33999 665 16 three three CD A33999 665 17 shadows shadow NNS A33999 665 18 to to IN A33999 665 19 finde finde NN A33999 665 20 the the DT A33999 665 21 Latitude Latitude NNP A33999 665 22 of of IN A33999 665 23 the the DT A33999 665 24 place place NN A33999 665 25 : : : A33999 665 26 thus thus RB A33999 665 27 Maetius Maetius NNP A33999 665 28 propounds propound VBZ A33999 665 29 it -PRON- PRP A33999 665 30 , , , A33999 665 31 and and CC A33999 665 32 with with IN A33999 665 33 many many JJ A33999 665 34 operations operation NNS A33999 665 35 both both CC A33999 665 36 in in IN A33999 665 37 plain plain JJ A33999 665 38 and and CC A33999 665 39 Spherical Spherical NNP A33999 665 40 Triangles Triangles NNPS A33999 665 41 resolves resolve VBZ A33999 665 42 it -PRON- PRP A33999 665 43 . . . A33999 666 1 The the DT A33999 666 2 first first JJ A33999 666 3 operations operation NNS A33999 666 4 are be VBP A33999 666 5 to to TO A33999 666 6 finde finde VB A33999 666 7 the the DT A33999 666 8 Suns Suns NNPS A33999 666 9 3 3 CD A33999 666 10 Altitudes Altitudes NNPS A33999 666 11 to to IN A33999 666 12 those those DT A33999 666 13 shadows shadow NNS A33999 666 14 , , , A33999 666 15 and and CC A33999 666 16 that that DT A33999 666 17 will will MD A33999 666 18 be be VB A33999 666 19 performed perform VBN A33999 666 20 by by IN A33999 666 21 this this DT A33999 666 22 proportion proportion NN A33999 666 23 , , , A33999 666 24 As as IN A33999 666 25 the the DT A33999 666 26 Length Length NNP A33999 666 27 of of IN A33999 666 28 the the DT A33999 666 29 shadow shadow NN A33999 666 30 , , , A33999 666 31 Is be VBZ A33999 666 32 to to IN A33999 666 33 the the DT A33999 666 34 perpendicular perpendicular JJ A33999 666 35 height height NN A33999 666 36 of of IN A33999 666 37 the the DT A33999 666 38 Gnomon Gnomon NNP A33999 666 39 , , , A33999 666 40 So so RB A33999 666 41 is be VBZ A33999 666 42 the the DT A33999 666 43 Radius Radius NNP A33999 666 44 , , , A33999 666 45 To to IN A33999 666 46 the the DT A33999 666 47 Tangent tangent NN A33999 666 48 of of IN A33999 666 49 the the DT A33999 666 50 Suns Suns NNPS A33999 666 51 Altitude Altitude NNP A33999 666 52 above above IN A33999 666 53 a a DT A33999 666 54 Horizontal Horizontal NNP A33999 666 55 Plain Plain NNP A33999 666 56 , , , A33999 666 57 which which WDT A33999 666 58 proportion proportion NN A33999 666 59 on on IN A33999 666 60 other other JJ A33999 666 61 Plains Plains NNPS A33999 666 62 will will MD A33999 666 63 finde finde VB A33999 666 64 the the DT A33999 666 65 Angle Angle NNP A33999 666 66 between between IN A33999 666 67 the the DT A33999 666 68 Sun Sun NNP A33999 666 69 and and CC A33999 666 70 the the DT A33999 666 71 Plain Plain NNP A33999 666 72 or or CC A33999 666 73 Wall Wall NNP A33999 666 74 . . . A33999 667 1 Next Next NNP A33999 667 2 Maetius Maetius NNP A33999 667 3 gives give VBZ A33999 667 4 the the DT A33999 667 5 distances distance NNS A33999 667 6 between between IN A33999 667 7 the the DT A33999 667 8 points point NNS A33999 667 9 of of IN A33999 667 10 the the DT A33999 667 11 three three CD A33999 667 12 shadows shadow NNS A33999 667 13 , , , A33999 667 14 and and CC A33999 667 15 then then RB A33999 667 16 by by IN A33999 667 17 having have VBG A33999 667 18 three three CD A33999 667 19 Sides side NNS A33999 667 20 of of IN A33999 667 21 a a DT A33999 667 22 Plain Plain NNP A33999 667 23 Triangle Triangle NNP A33999 667 24 , , , A33999 667 25 he -PRON- PRP A33999 667 26 findes find VBZ A33999 667 27 an an DT A33999 667 28 Angle Angle NNP A33999 667 29 , , , A33999 667 30 to to IN A33999 667 31 wit wit NN A33999 667 32 , , , A33999 667 33 the the DT A33999 667 34 differences difference NNS A33999 667 35 of of IN A33999 667 36 Azimuth Azimuth NNP A33999 667 37 between between IN A33999 667 38 the the DT A33999 667 39 respective respective JJ A33999 667 40 shadows shadow NNS A33999 667 41 , , , A33999 667 42 which which WDT A33999 667 43 Angle Angle NNP A33999 667 44 may may MD A33999 667 45 be be VB A33999 667 46 measured measure VBN A33999 667 47 off off RP A33999 667 48 the the DT A33999 667 49 Plain Plain NNP A33999 667 50 with with IN A33999 667 51 Chords Chords NNPS A33999 667 52 . . . A33999 668 1 But but CC A33999 668 2 propounding propound VBG A33999 668 3 it -PRON- PRP A33999 668 4 thus thus RB A33999 668 5 , , , A33999 668 6 Three three CD A33999 668 7 Altitudes Altitudes NNPS A33999 668 8 of of IN A33999 668 9 the the DT A33999 668 10 Sun Sun NNP A33999 668 11 above above IN A33999 668 12 a a DT A33999 668 13 Horizontal Horizontal NNP A33999 668 14 Plain Plain NNP A33999 668 15 , , , A33999 668 16 with with IN A33999 668 17 the the DT A33999 668 18 differences difference NNS A33999 668 19 of of IN A33999 668 20 Azimuth Azimuth NNP A33999 668 21 between between IN A33999 668 22 the the DT A33999 668 23 three three CD A33999 668 24 shadows shadow NNS A33999 668 25 belonging belong VBG A33999 668 26 to to IN A33999 668 27 those those DT A33999 668 28 Altitudes altitude NNS A33999 668 29 , , , A33999 668 30 being be VBG A33999 668 31 given give VBN A33999 668 32 , , , A33999 668 33 let let VB A33999 668 34 it -PRON- PRP A33999 668 35 be be VB A33999 668 36 required require VBN A33999 668 37 to to TO A33999 668 38 finde finde VB A33999 668 39 the the DT A33999 668 40 Suns Suns NNPS A33999 668 41 true true JJ A33999 668 42 Azimuth Azimuth NNP A33999 668 43 , , , A33999 668 44 the the DT A33999 668 45 Latitude Latitude NNP A33999 668 46 of of IN A33999 668 47 the the DT A33999 668 48 place place NN A33999 668 49 , , , A33999 668 50 and and CC A33999 668 51 the the DT A33999 668 52 Suns Suns NNPS A33999 668 53 Amplitude Amplitude NNP A33999 668 54 . . . A33999 669 1 And and CC A33999 669 2 how how WRB A33999 669 3 this this DT A33999 669 4 may may MD A33999 669 5 be be VB A33999 669 6 Calculated calculate VBN A33999 669 7 from from IN A33999 669 8 the the DT A33999 669 9 former former JJ A33999 669 10 Scheme Scheme NNP A33999 669 11 , , , A33999 669 12 I -PRON- PRP A33999 669 13 shall shall MD A33999 669 14 now now RB A33999 669 15 shew shew VB A33999 669 16 . . . A33999 670 1 In in IN A33999 670 2 the the DT A33999 670 3 Triangle Triangle NNP A33999 670 4 ICK ICK NNP A33999 670 5 of of IN A33999 670 6 the the DT A33999 670 7 former former JJ A33999 670 8 Scheme Scheme NNP A33999 670 9 , , , A33999 670 10 the the DT A33999 670 11 two two CD A33999 670 12 sides side NNS A33999 670 13 IC IC NNP A33999 670 14 and and CC A33999 670 15 CK CK NNP A33999 670 16 , , , A33999 670 17 represent represent VB A33999 670 18 two two CD A33999 670 19 shadows shadow NNS A33999 670 20 , , , A33999 670 21 and and CC A33999 670 22 the the DT A33999 670 23 Angle Angle NNP A33999 670 24 ICK ICK NNP A33999 670 25 is be VBZ A33999 670 26 the the DT A33999 670 27 Angle angle NN A33999 670 28 or or CC A33999 670 29 difference difference NN A33999 670 30 of of IN A33999 670 31 Azimuth Azimuth NNP A33999 670 32 between between IN A33999 670 33 them -PRON- PRP A33999 670 34 , , , A33999 670 35 and and CC A33999 670 36 the the DT A33999 670 37 said say VBN A33999 670 38 sides side NNS A33999 670 39 IC IC NNP A33999 670 40 and and CC A33999 670 41 CK CK NNP A33999 670 42 , , , A33999 670 43 are be VBP A33999 670 44 the the DT A33999 670 45 Cosines Cosines NNPS A33999 670 46 of of IN A33999 670 47 the the DT A33999 670 48 Altitude Altitude NNP A33999 670 49 proper proper JJ A33999 670 50 to to IN A33999 670 51 those those DT A33999 670 52 shadows shadow NNS A33999 670 53 ; ; : A33999 670 54 now now RB A33999 670 55 by by IN A33999 670 56 seven seven CD A33999 670 57 Operations operation NNS A33999 670 58 in in IN A33999 670 59 right right RB A33999 670 60 lined line VBN A33999 670 61 Triangles Triangles NNPS A33999 670 62 , , , A33999 670 63 we -PRON- PRP A33999 670 64 may may MD A33999 670 65 finde finde VB A33999 670 66 the the DT A33999 670 67 proper proper JJ A33999 670 68 Azimuth Azimuth NNP A33999 670 69 or or CC A33999 670 70 true true JJ A33999 670 71 Coast coast NN A33999 670 72 of of IN A33999 670 73 any any DT A33999 670 74 of of IN A33999 670 75 those those DT A33999 670 76 shadows shadow NNS A33999 670 77 . . . A33999 671 1 1 1 LS A33999 671 2 . . . A33999 672 1 In in IN A33999 672 2 the the DT A33999 672 3 right right NN A33999 672 4 lined line VBN A33999 672 5 Triangle Triangle NNP A33999 672 6 ICK ICK NNP A33999 672 7 , , , A33999 672 8 having have VBG A33999 672 9 the the DT A33999 672 10 two two CD A33999 672 11 sides side NNS A33999 672 12 IC IC NNP A33999 672 13 and and CC A33999 672 14 CK CK NNP A33999 672 15 , , , A33999 672 16 with with IN A33999 672 17 the the DT A33999 672 18 Angle angle NN A33999 672 19 between between IN A33999 672 20 them -PRON- PRP A33999 672 21 ICK ICK NNP A33999 672 22 , , , A33999 672 23 at at IN A33999 672 24 one one CD A33999 672 25 operation operation NN A33999 672 26 may may MD A33999 672 27 be be VB A33999 672 28 found find VBN A33999 672 29 both both DT A33999 672 30 the the DT A33999 672 31 other other JJ A33999 672 32 Angles Angles NNP A33999 672 33 CIK CIK NNP A33999 672 34 and and CC A33999 672 35 IKC IKC NNP A33999 672 36 . . . A33999 673 1 2 2 LS A33999 673 2 . . . A33999 674 1 In in IN A33999 674 2 the the DT A33999 674 3 same same JJ A33999 674 4 Triangle Triangle NNP A33999 674 5 by by IN A33999 674 6 another another DT A33999 674 7 operation operation NN A33999 674 8 , , , A33999 674 9 may may MD A33999 674 10 be be VB A33999 674 11 found find VBN A33999 674 12 the the DT A33999 674 13 Side Side NNP A33999 674 14 IK ik NN A33999 674 15 . . . A33999 675 1 Then then RB A33999 675 2 to to TO A33999 675 3 proceed proceed VB A33999 675 4 , , , A33999 675 5 draw draw VB A33999 675 6 Nf Nf NNP A33999 675 7 parallel parallel RB A33999 675 8 to to IN A33999 675 9 IK IK NNP A33999 675 10 , , , A33999 675 11 and and CC A33999 675 12 fM fM NNP A33999 675 13 will will MD A33999 675 14 be be VB A33999 675 15 the the DT A33999 675 16 difference difference NN A33999 675 17 of of IN A33999 675 18 the the DT A33999 675 19 Sines Sines NNPS A33999 675 20 of of IN A33999 675 21 both both CC A33999 675 22 the the DT A33999 675 23 Altitudes Altitudes NNPS A33999 675 24 belonging belong VBG A33999 675 25 to to IN A33999 675 26 those those DT A33999 675 27 shadows shadow NNS A33999 675 28 , , , A33999 675 29 whereby whereby WRB A33999 675 30 may may MD A33999 675 31 be be VB A33999 675 32 found find VBN A33999 675 33 KW KW NNP A33999 675 34 . . . A33999 676 1 3 3 LS A33999 676 2 . . . A33999 677 1 The the DT A33999 677 2 proportion proportion NN A33999 677 3 lyes lye NNS A33999 677 4 , , , A33999 677 5 As as IN A33999 677 6 fM fm NN A33999 677 7 the the DT A33999 677 8 difference difference NN A33999 677 9 of of IN A33999 677 10 the the DT A33999 677 11 Sines Sines NNPS A33999 677 12 of of IN A33999 677 13 both both CC A33999 677 14 those those DT A33999 677 15 Altitudes altitude NNS A33999 677 16 , , , A33999 677 17 Is be VBZ A33999 677 18 to to TO A33999 677 19 fN fn VB A33999 677 20 equal equal JJ A33999 677 21 to to IN A33999 677 22 IK IK NNP A33999 677 23 before before IN A33999 677 24 found find VBN A33999 677 25 , , , A33999 677 26 So so RB A33999 677 27 is be VBZ A33999 677 28 KM KM NNP A33999 677 29 the the DT A33999 677 30 Sine Sine NNP A33999 677 31 of of IN A33999 677 32 the the DT A33999 677 33 greater great JJR A33999 677 34 Altitude altitude NN A33999 677 35 , , , A33999 677 36 to to IN A33999 677 37 KW KW NNP A33999 677 38 sought seek VBD A33999 677 39 . . . A33999 678 1 4 4 LS A33999 678 2 . . . A33999 679 1 5 5 CD A33999 679 2 . . . A33999 680 1 6 6 CD A33999 680 2 . . . A33999 681 1 By by IN A33999 681 2 three three CD A33999 681 3 like like IN A33999 681 4 Operations operation NNS A33999 681 5 may may MD A33999 681 6 be be VB A33999 681 7 found find VBN A33999 681 8 in in IN A33999 681 9 the the DT A33999 681 10 other other JJ A33999 681 11 shadow shadow NN A33999 681 12 Triangle Triangle NNP A33999 681 13 , , , A33999 681 14 the the DT A33999 681 15 Angles Angles NNP A33999 681 16 CKL CKL NNP A33999 681 17 , , , A33999 681 18 and and CC A33999 681 19 KLC KLC NNP A33999 681 20 , , , A33999 681 21 with with IN A33999 681 22 the the DT A33999 681 23 Side Side NNP A33999 681 24 KE KE NNP A33999 681 25 . . . A33999 682 1 Having have VBG A33999 682 2 proceeded proceed VBN A33999 682 3 thus thus RB A33999 682 4 far far RB A33999 682 5 to to IN A33999 682 6 the the DT A33999 682 7 Angle Angle NNP A33999 682 8 IKC IKC NNP A33999 682 9 , , , A33999 682 10 adde adde VB A33999 682 11 the the DT A33999 682 12 Angle Angle NNP A33999 682 13 CKL CKL NNP A33999 682 14 , , , A33999 682 15 the the DT A33999 682 16 sum sum NN A33999 682 17 is be VBZ A33999 682 18 equal equal JJ A33999 682 19 to to IN A33999 682 20 the the DT A33999 682 21 Angle Angle NNP A33999 682 22 WKE wke NN A33999 682 23 . . . A33999 683 1 7 7 LS A33999 683 2 . . . A33999 684 1 Then then RB A33999 684 2 in in IN A33999 684 3 the the DT A33999 684 4 Triangle Triangle NNP A33999 684 5 WKE WKE NNP A33999 684 6 , , , A33999 684 7 we -PRON- PRP A33999 684 8 have have VBP A33999 684 9 the the DT A33999 684 10 two two CD A33999 684 11 Sides side NNS A33999 684 12 thereof thereof IN A33999 684 13 WK WK NNP A33999 684 14 , , , A33999 684 15 and and CC A33999 684 16 KE KE NNP A33999 684 17 given give VBN A33999 684 18 , , , A33999 684 19 and and CC A33999 684 20 the the DT A33999 684 21 Angle Angle NNP A33999 684 22 comprehended comprehend VBN A33999 684 23 by by IN A33999 684 24 them -PRON- PRP A33999 684 25 , , , A33999 684 26 and and CC A33999 684 27 at at IN A33999 684 28 one one CD A33999 684 29 Operation Operation NNP A33999 684 30 we -PRON- PRP A33999 684 31 may may MD A33999 684 32 finde finde VB A33999 684 33 both both CC A33999 684 34 the the DT A33999 684 35 other other JJ A33999 684 36 Angles Angles NNP A33999 684 37 EWK EWK NNP A33999 684 38 , , , A33999 684 39 and and CC A33999 684 40 KEW KEW NNP A33999 684 41 , , , A33999 684 42 the the DT A33999 684 43 complement complement NN A33999 684 44 of of IN A33999 684 45 the the DT A33999 684 46 Angle Angle NNP A33999 684 47 TWK TWK NNP A33999 684 48 , , , A33999 684 49 is be VBZ A33999 684 50 the the DT A33999 684 51 Angle Angle NNP A33999 684 52 WKT WKT NNP A33999 684 53 . . . A33999 685 1 The the DT A33999 685 2 difference difference NN A33999 685 3 between between IN A33999 685 4 the the DT A33999 685 5 Angles Angles NNP A33999 685 6 WKT WKT NNP A33999 685 7 , , , A33999 685 8 and and CC A33999 685 9 IKC IKC NNP A33999 685 10 , , , A33999 685 11 is be VBZ A33999 685 12 the the DT A33999 685 13 Angle Angle NNP A33999 685 14 CKZ CKZ NNP A33999 685 15 , , , A33999 685 16 which which WDT A33999 685 17 shews shew VBZ A33999 685 18 the the DT A33999 685 19 Suns Suns NNPS A33999 685 20 Azimuth Azimuth NNP A33999 685 21 from from IN A33999 685 22 the the DT A33999 685 23 Meridian Meridian NNP A33999 685 24 proper proper NN A33999 685 25 to to IN A33999 685 26 that that DT A33999 685 27 shadow shadow NN A33999 685 28 , , , A33999 685 29 which which WDT A33999 685 30 may may MD A33999 685 31 be be VB A33999 685 32 otherways otherway NNS A33999 685 33 found find VBN A33999 685 34 , , , A33999 685 35 for for IN A33999 685 36 the the DT A33999 685 37 difference difference NN A33999 685 38 between between IN A33999 685 39 EKT EKT NNP A33999 685 40 and and CC A33999 685 41 TKC TKC NNP A33999 685 42 , , , A33999 685 43 also also RB A33999 685 44 shews shew VBZ A33999 685 45 it -PRON- PRP A33999 685 46 . . . A33999 686 1 By by IN A33999 686 2 two two CD A33999 686 3 other other JJ A33999 686 4 Operations operation NNS A33999 686 5 the the DT A33999 686 6 Latitude Latitude NNP A33999 686 7 may may MD A33999 686 8 be be VB A33999 686 9 found find VBN A33999 686 10 . . . A33999 687 1 1 1 LS A33999 687 2 . . . A33999 688 1 As as IN A33999 688 2 the the DT A33999 688 3 Radius Radius NNP A33999 688 4 : : : A33999 688 5 Is be VBZ A33999 688 6 to to IN A33999 688 7 WK WK NNP A33999 688 8 before before RB A33999 688 9 found find VBD A33999 688 10 ∷ ∷ NNP A33999 688 11 So so RB A33999 688 12 is be VBZ A33999 688 13 the the DT A33999 688 14 Sine Sine NNP A33999 688 15 of of IN A33999 688 16 TWK TWK NNP A33999 688 17 to to IN A33999 688 18 KT KT NNP A33999 688 19 : : : A33999 688 20 2 2 CD A33999 688 21 . . . A33999 689 1 As as IN A33999 689 2 VK VK NNP A33999 689 3 the the DT A33999 689 4 Sine Sine NNP A33999 689 5 of of IN A33999 689 6 the the DT A33999 689 7 greater great JJR A33999 689 8 Altititude Altititude NNP A33999 689 9 , , , A33999 689 10 Is be VBZ A33999 689 11 to to TO A33999 689 12 KT KT NNP A33999 689 13 before before RB A33999 689 14 found find VBN A33999 689 15 , , , A33999 689 16 So so RB A33999 689 17 is be VBZ A33999 689 18 the the DT A33999 689 19 Radius Radius NNP A33999 689 20 , , , A33999 689 21 To to IN A33999 689 22 the the DT A33999 689 23 Tangent Tangent NNP A33999 689 24 of of IN A33999 689 25 the the DT A33999 689 26 Latitude Latitude NNP A33999 689 27 . . . A33999 690 1 By by IN A33999 690 2 another another DT A33999 690 3 Operation operation NN A33999 690 4 may may MD A33999 690 5 be be VB A33999 690 6 found find VBN A33999 690 7 the the DT A33999 690 8 Amplitude Amplitude NNP A33999 690 9 CY CY NNP A33999 690 10 , , , A33999 690 11 having have VBG A33999 690 12 found find VBN A33999 690 13 the the DT A33999 690 14 Angle Angle NNP A33999 690 15 ZKC ZKC NNP A33999 690 16 , , , A33999 690 17 the the DT A33999 690 18 Angle Angle NNP A33999 690 19 CKp CKp NNS A33999 690 20 is be VBZ A33999 690 21 the the DT A33999 690 22 complement complement NN A33999 690 23 thereof thereof RB A33999 690 24 , , , A33999 690 25 then then RB A33999 690 26 it -PRON- PRP A33999 690 27 holds hold VBZ A33999 690 28 : : : A33999 690 29 As as IN A33999 690 30 the the DT A33999 690 31 Radius Radius NNP A33999 690 32 , , , A33999 690 33 Is be VBZ A33999 690 34 to to TO A33999 690 35 CK CK NNP A33999 690 36 the the DT A33999 690 37 Cosine Cosine NNP A33999 690 38 of of IN A33999 690 39 the the DT A33999 690 40 greater great JJR A33999 690 41 Altitude Altitude NNP A33999 690 42 , , , A33999 690 43 So so RB A33999 690 44 is be VBZ A33999 690 45 the the DT A33999 690 46 Sine Sine NNP A33999 690 47 of of IN A33999 690 48 the the DT A33999 690 49 Angle Angle NNP A33999 690 50 CKp CKp NNS A33999 690 51 to to IN A33999 690 52 CP CP NNP A33999 690 53 , , , A33999 690 54 the the DT A33999 690 55 difference difference NN A33999 690 56 between between IN A33999 690 57 which which WDT A33999 690 58 , , , A33999 690 59 and and CC A33999 690 60 Yp Yp NNP A33999 690 61 equal equal JJ A33999 690 62 to to IN A33999 690 63 TK TK NNP A33999 690 64 , , , A33999 690 65 is be VBZ A33999 690 66 YC YC NNP A33999 690 67 the the DT A33999 690 68 Sine Sine NNP A33999 690 69 of of IN A33999 690 70 the the DT A33999 690 71 Amplitude Amplitude NNP A33999 690 72 sought seek VBD A33999 690 73 . . . A33999 691 1 To to TO A33999 691 2 make make VB A33999 691 3 any any DT A33999 691 4 Dyal Dyal NNP A33999 691 5 from from IN A33999 691 6 three three CD A33999 691 7 Shadows shadow NNS A33999 691 8 . . . A33999 692 1 The the DT A33999 692 2 Geometrical geometrical JJ A33999 692 3 performance performance NN A33999 692 4 of of IN A33999 692 5 the the DT A33999 692 6 former former JJ A33999 692 7 Proposition Proposition NNP A33999 692 8 , , , A33999 692 9 is be VBZ A33999 692 10 insisted insist VBN A33999 692 11 upon upon IN A33999 692 12 by by IN A33999 692 13 Clavius Clavius NNP A33999 692 14 in in IN A33999 692 15 his -PRON- PRP$ A33999 692 16 Book Book NNP A33999 692 17 of of IN A33999 692 18 the the DT A33999 692 19 Astrolable astrolable JJ A33999 692 20 , , , A33999 692 21 but but CC A33999 692 22 ▪ ▪ XX A33999 692 23 he -PRON- PRP A33999 692 24 mentioneth mentioneth NN A33999 692 25 no no DT A33999 692 26 method method NN A33999 692 27 of of IN A33999 692 28 calculation calculation NN A33999 692 29 as as IN A33999 692 30 derivable derivable JJ A33999 692 31 from from IN A33999 692 32 it -PRON- PRP A33999 692 33 : : : A33999 692 34 from from IN A33999 692 35 this this DT A33999 692 36 proposition proposition NN A33999 692 37 Monsieur Monsieur NNP A33999 692 38 Vaulezard Vaulezard NNP A33999 692 39 a a DT A33999 692 40 French french JJ A33999 692 41 Mathematician Mathematician NNP A33999 692 42 educeth educeth VBD A33999 692 43 a a DT A33999 692 44 general general JJ A33999 692 45 method method NN A33999 692 46 for for IN A33999 692 47 making making NN A33999 692 48 of of IN A33999 692 49 Dyals dyal NNS A33999 692 50 , , , A33999 692 51 from from IN A33999 692 52 three three CD A33999 692 53 shadows shadow NNS A33999 692 54 of of IN A33999 692 55 a a DT A33999 692 56 Gnomon Gnomon NNP A33999 692 57 stuck stick VBD A33999 692 58 into into IN A33999 692 59 a a DT A33999 692 60 wall wall NN A33999 692 61 at at IN A33999 692 62 randome randome NNP A33999 692 63 , , , A33999 692 64 whereof whereof NNP A33999 692 65 he -PRON- PRP A33999 692 66 doth doth VB A33999 692 67 not not RB A33999 692 68 so so RB A33999 692 69 much much RB A33999 692 70 as as IN A33999 692 71 mention mention VB A33999 692 72 any any DT A33999 692 73 demonstration demonstration NN A33999 692 74 ; ; : A33999 692 75 I -PRON- PRP A33999 692 76 shall shall MD A33999 692 77 endeavour endeavour VB A33999 692 78 to to TO A33999 692 79 deliver deliver VB A33999 692 80 the the DT A33999 692 81 method method NN A33999 692 82 thereof thereof RB A33999 692 83 with with IN A33999 692 84 as as RB A33999 692 85 much much JJ A33999 692 86 perspicuity perspicuity NN A33999 692 87 as as IN A33999 692 88 I -PRON- PRP A33999 692 89 can can MD A33999 692 90 . . . A33999 693 1 Every every DT A33999 693 2 Plain Plain NNP A33999 693 3 in in IN A33999 693 4 some some DT A33999 693 5 place place NN A33999 693 6 or or CC A33999 693 7 other other JJ A33999 693 8 , , , A33999 693 9 is be VBZ A33999 693 10 an an DT A33999 693 11 horizontal horizontal JJ A33999 693 12 Plain Plain NNP A33999 693 13 ; ; : A33999 693 14 admit admit VB A33999 693 15 an an DT A33999 693 16 Oblique Oblique NNP A33999 693 17 Plain Plain NNP A33999 693 18 in in IN A33999 693 19 our -PRON- PRP$ A33999 693 20 Latitude Latitude NNP A33999 693 21 , , , A33999 693 22 the the DT A33999 693 23 Substilar substilar JJ A33999 693 24 line line NN A33999 693 25 represents represent VBZ A33999 693 26 the the DT A33999 693 27 meridian meridian NN A33999 693 28 of of IN A33999 693 29 that that DT A33999 693 30 place place NN A33999 693 31 , , , A33999 693 32 and and CC A33999 693 33 any any DT A33999 693 34 contingent contingent JJ A33999 693 35 line line NN A33999 693 36 drawn draw VBN A33999 693 37 at at IN A33999 693 38 right right JJ A33999 693 39 Angles Angles NNP A33999 693 40 , , , A33999 693 41 thereto thereto NNP A33999 693 42 will will MD A33999 693 43 represent represent VB A33999 693 44 a a DT A33999 693 45 true true JJ A33999 693 46 line line NN A33999 693 47 of of IN A33999 693 48 East East NNP A33999 693 49 and and CC A33999 693 50 West West NNP A33999 693 51 in in IN A33999 693 52 reference reference NN A33999 693 53 to to IN A33999 693 54 that that DT A33999 693 55 horizon horizon NN A33999 693 56 , , , A33999 693 57 and and CC A33999 693 58 if if IN A33999 693 59 the the DT A33999 693 60 hours hour NNS A33999 693 61 did do VBD A33999 693 62 commence commence NN A33999 693 63 at at IN A33999 693 64 12 12 CD A33999 693 65 , , , A33999 693 66 from from IN A33999 693 67 each each DT A33999 693 68 side side NN A33999 693 69 the the DT A33999 693 70 substile substile NN A33999 693 71 , , , A33999 693 72 the the DT A33999 693 73 Dyal Dyal NNP A33999 693 74 here here RB A33999 693 75 would would MD A33999 693 76 shew shew VB A33999 693 77 the the DT A33999 693 78 true true JJ A33999 693 79 time time NN A33999 693 80 of of IN A33999 693 81 the the DT A33999 693 82 day day NN A33999 693 83 there there RB A33999 693 84 . . . A33999 694 1 In in IN A33999 694 2 every every DT A33999 694 3 oblique oblique JJ A33999 694 4 Plain Plain NNP A33999 694 5 assuming assume VBG A33999 694 6 any any DT A33999 694 7 Point Point NNP A33999 694 8 in in IN A33999 694 9 the the DT A33999 694 10 Stile Stile NNP A33999 694 11 , , , A33999 694 12 and and CC A33999 694 13 crossing cross VBG A33999 694 14 the the DT A33999 694 15 Stile Stile NNP A33999 694 16 with with IN A33999 694 17 a a DT A33999 694 18 perpendicular perpendicular NN A33999 694 19 to to IN A33999 694 20 that that DT A33999 694 21 Point Point NNP A33999 694 22 , , , A33999 694 23 which which WDT A33999 694 24 shall shall MD A33999 694 25 meet meet VB A33999 694 26 with with IN A33999 694 27 the the DT A33999 694 28 Substile Substile NNP A33999 694 29 , , , A33999 694 30 the the DT A33999 694 31 Point Point NNP A33999 694 32 so so RB A33999 694 33 found find VBD A33999 694 34 in in IN A33999 694 35 the the DT A33999 694 36 Substile Substile NNP A33999 694 37 , , , A33999 694 38 is be VBZ A33999 694 39 the the DT A33999 694 40 Equinoctial Equinoctial NNP A33999 694 41 Point Point NNP A33999 694 42 , , , A33999 694 43 in in IN A33999 694 44 respect respect NN A33999 694 45 of of IN A33999 694 46 the the DT A33999 694 47 assumed assumed JJ A33999 694 48 Point Point NNP A33999 694 49 in in IN A33999 694 50 the the DT A33999 694 51 Stile Stile NNP A33999 694 52 ; ; : A33999 694 53 hence hence RB A33999 694 54 we -PRON- PRP A33999 694 55 may may MD A33999 694 56 inferre inferre VB A33999 694 57 that that IN A33999 694 58 if if IN A33999 694 59 these these DT A33999 694 60 two two CD A33999 694 61 Points Points NNPS A33999 694 62 and and CC A33999 694 63 the the DT A33999 694 64 Substilar substilar JJ A33999 694 65 line line NN A33999 694 66 were be VBD A33999 694 67 given give VBN A33999 694 68 the the DT A33999 694 69 Center Center NNP A33999 694 70 of of IN A33999 694 71 the the DT A33999 694 72 Dial Dial NNP A33999 694 73 might may MD A33999 694 74 be be VB A33999 694 75 easily easily RB A33999 694 76 found find VBN A33999 694 77 , , , A33999 694 78 now now RB A33999 694 79 the the DT A33999 694 80 former former JJ A33999 694 81 construction construction NN A33999 694 82 applyed apply VBD A33999 694 83 to to IN A33999 694 84 an an DT A33999 694 85 oblique oblique JJ A33999 694 86 Plain Plain NNP A33999 694 87 , , , A33999 694 88 assumed assume VBN A33999 694 89 to to TO A33999 694 90 be be VB A33999 694 91 an an DT A33999 694 92 Horizontal Horizontal NNP A33999 694 93 Plain Plain NNP A33999 694 94 , , , A33999 694 95 in in IN A33999 694 96 respect respect NN A33999 694 97 of of IN A33999 694 98 some some DT A33999 694 99 unknown unknown JJ A33999 694 100 place place NN A33999 694 101 , , , A33999 694 102 will will MD A33999 694 103 find find VB A33999 694 104 the the DT A33999 694 105 Equinoctial Equinoctial NNP A33999 694 106 Point Point NNP A33999 694 107 and and CC A33999 694 108 the the DT A33999 694 109 substilar substilar JJ A33999 694 110 Line Line NNP A33999 694 111 , , , A33999 694 112 the the DT A33999 694 113 Stile Stile NNP A33999 694 114 Point Point NNP A33999 694 115 being be VBG A33999 694 116 assumed assume VBN A33999 694 117 in in IN A33999 694 118 the the DT A33999 694 119 extremity extremity NN A33999 694 120 of of IN A33999 694 121 a a DT A33999 694 122 Gnomon Gnomon NNP A33999 694 123 any any DT A33999 694 124 wayes waye NNS A33999 694 125 placed place VBN A33999 694 126 or or CC A33999 694 127 stuck stick VBN A33999 694 128 in in IN A33999 694 129 a a DT A33999 694 130 wall wall NN A33999 694 131 at at IN A33999 694 132 randome randome NN A33999 694 133 . . . A33999 695 1 From from IN A33999 695 2 the the DT A33999 695 3 former former JJ A33999 695 4 Scheme scheme NN A33999 695 5 it -PRON- PRP A33999 695 6 may may MD A33999 695 7 be be VB A33999 695 8 observed observe VBN A33999 695 9 that that IN A33999 695 10 the the DT A33999 695 11 Sine Sine NNP A33999 695 12 of of IN A33999 695 13 any any DT A33999 695 14 of of IN A33999 695 15 the the DT A33999 695 16 three three CD A33999 695 17 Altitudes Altitudes NNPS A33999 695 18 being be VBG A33999 695 19 erected erect VBN A33999 695 20 on on IN A33999 695 21 the the DT A33999 695 22 Perpendicular Perpendicular NNP A33999 695 23 between between IN A33999 695 24 the the DT A33999 695 25 foot foot NN A33999 695 26 of of IN A33999 695 27 that that DT A33999 695 28 Sine Sine NNP A33999 695 29 and and CC A33999 695 30 the the DT A33999 695 31 Suns Suns NNPS A33999 695 32 parallel parallel NN A33999 695 33 ▪ ▪ NN A33999 695 34 gave give VBD A33999 695 35 an an DT A33999 695 36 Angle angle NN A33999 695 37 equal equal JJ A33999 695 38 to to IN A33999 695 39 the the DT A33999 695 40 elevation elevation NN A33999 695 41 of of IN A33999 695 42 the the DT A33999 695 43 Equinoctial Equinoctial NNP A33999 695 44 above above IN A33999 695 45 the the DT A33999 695 46 Horizon Horizon NNP A33999 695 47 , , , A33999 695 48 which which WDT A33999 695 49 is be VBZ A33999 695 50 the the DT A33999 695 51 thing thing NN A33999 695 52 sought seek VBN A33999 695 53 in in IN A33999 695 54 the the DT A33999 695 55 following follow VBG A33999 695 56 work work NN A33999 695 57 , , , A33999 695 58 but but CC A33999 695 59 the the DT A33999 695 60 Sine Sine NNP A33999 695 61 of of IN A33999 695 62 the the DT A33999 695 63 greatest great JJS A33999 695 64 Altitude altitude NN A33999 695 65 performs perform VBZ A33999 695 66 the the DT A33999 695 67 proposition proposition NN A33999 695 68 best best RB A33999 695 69 . . . A33999 696 1 If if IN A33999 696 2 a a DT A33999 696 3 stick stick NN A33999 696 4 or or CC A33999 696 5 pin pin NN A33999 696 6 be be VB A33999 696 7 stuck stick VBN A33999 696 8 into into IN A33999 696 9 a a DT A33999 696 10 wall wall NN A33999 696 11 for for IN A33999 696 12 this this DT A33999 696 13 purpose purpose NN A33999 696 14 , , , A33999 696 15 and and CC A33999 696 16 doth doth NN A33999 696 17 not not RB A33999 696 18 make make VB A33999 696 19 right right JJ A33999 696 20 Angles Angles NNP A33999 696 21 therewith therewith NNP A33999 696 22 , , , A33999 696 23 a a DT A33999 696 24 Perpendicular Perpendicular NNP A33999 696 25 must must MD A33999 696 26 be be VB A33999 696 27 let let VBN A33999 696 28 fall fall VB A33999 696 29 from from IN A33999 696 30 the the DT A33999 696 31 extremity extremity NN A33999 696 32 thereof thereof RB A33999 696 33 into into IN A33999 696 34 the the DT A33999 696 35 wall wall NN A33999 696 36 , , , A33999 696 37 which which WDT A33999 696 38 is be VBZ A33999 696 39 called call VBN A33999 696 40 the the DT A33999 696 41 perpendicular perpendicular JJ A33999 696 42 Stile Stile NNP A33999 696 43 , , , A33999 696 44 and and CC A33999 696 45 the the DT A33999 696 46 distances distance NNS A33999 696 47 of of IN A33999 696 48 the the DT A33999 696 49 shadowes shadowes NNP A33999 696 50 ; ; : A33999 696 51 from from IN A33999 696 52 the the DT A33999 696 53 foot foot NN A33999 696 54 thereof thereof RB A33999 696 55 must must MD A33999 696 56 be be VB A33999 696 57 measured measure VBN A33999 696 58 thence thence NN A33999 696 59 , , , A33999 696 60 in in IN A33999 696 61 respect respect NN A33999 696 62 of of IN A33999 696 63 the the DT A33999 696 64 tip tip NN A33999 696 65 of of IN A33999 696 66 this this DT A33999 696 67 perpendicular perpendicular JJ A33999 696 68 Stile Stile NNP A33999 696 69 the the DT A33999 696 70 Equinoctial Equinoctial NNP A33999 696 71 Point Point NNP A33999 696 72 must must MD A33999 696 73 be be VB A33999 696 74 found find VBN A33999 696 75 , , , A33999 696 76 wherefore wherefore VBD A33999 696 77 it -PRON- PRP A33999 696 78 will will MD A33999 696 79 be be VB A33999 696 80 convenient convenient JJ A33999 696 81 to to TO A33999 696 82 assume assume VB A33999 696 83 the the DT A33999 696 84 said say VBN A33999 696 85 perpendicular perpendicular JJ A33999 696 86 Stile Stile NNP A33999 696 87 to to TO A33999 696 88 be be VB A33999 696 89 the the DT A33999 696 90 Sine Sine NNP A33999 696 91 of of IN A33999 696 92 the the DT A33999 696 93 greatest great JJS A33999 696 94 of of IN A33999 696 95 the the DT A33999 696 96 three three CD A33999 696 97 Altitudes Altitudes NNPS A33999 696 98 of of IN A33999 696 99 the the DT A33999 696 100 Sun Sun NNP A33999 696 101 above above IN A33999 696 102 the the DT A33999 696 103 Plain Plain NNP A33999 696 104 , , , A33999 696 105 which which WDT A33999 696 106 properly properly RB A33999 696 107 in in IN A33999 696 108 respect respect NN A33999 696 109 of of IN A33999 696 110 Us -PRON- PRP A33999 696 111 are be VBP A33999 696 112 Angles angle NNS A33999 696 113 between between IN A33999 696 114 the the DT A33999 696 115 wall wall NN A33999 696 116 and and CC A33999 696 117 the the DT A33999 696 118 Sun Sun NNP A33999 696 119 . . . A33999 697 1 Up up IN A33999 697 2 on on IN A33999 697 3 this this DT A33999 697 4 assumption assumption NN A33999 697 5 it -PRON- PRP A33999 697 6 will will MD A33999 697 7 follow follow VB A33999 697 8 , , , A33999 697 9 that that IN A33999 697 10 the the DT A33999 697 11 shortest short JJS A33999 697 12 shadow shadow NN A33999 697 13 will will MD A33999 697 14 be be VB A33999 697 15 the the DT A33999 697 16 Cosine Cosine NNP A33999 697 17 of of IN A33999 697 18 that that DT A33999 697 19 Angle Angle NNP A33999 697 20 , , , A33999 697 21 and and CC A33999 697 22 the the DT A33999 697 23 distance distance NN A33999 697 24 between between IN A33999 697 25 the the DT A33999 697 26 tip tip NN A33999 697 27 of of IN A33999 697 28 the the DT A33999 697 29 Stile Stile NNP A33999 697 30 , , , A33999 697 31 and and CC A33999 697 32 the the DT A33999 697 33 extremity extremity NN A33999 697 34 of of IN A33999 697 35 that that DT A33999 697 36 shadow shadow NN A33999 697 37 will will MD A33999 697 38 be be VB A33999 697 39 the the DT A33999 697 40 Radius radius NN A33999 697 41 : : : A33999 697 42 now now RB A33999 697 43 from from IN A33999 697 44 the the DT A33999 697 45 lengths length NNS A33999 697 46 of of IN A33999 697 47 the the DT A33999 697 48 three three CD A33999 697 49 shadows shadow NNS A33999 697 50 , , , A33999 697 51 and and CC A33999 697 52 the the DT A33999 697 53 height height NN A33999 697 54 of of IN A33999 697 55 the the DT A33999 697 56 perpendicular perpendicular JJ A33999 697 57 Stile Stile NNP A33999 697 58 , , , A33999 697 59 it -PRON- PRP A33999 697 60 will will MD A33999 697 61 be be VB A33999 697 62 easie easie VBN A33999 697 63 to to TO A33999 697 64 find find VB A33999 697 65 the the DT A33999 697 66 Sines Sines NNPS A33999 697 67 and and CC A33999 697 68 the the DT A33999 697 69 Cosines Cosines NNPS A33999 697 70 of of IN A33999 697 71 the the DT A33999 697 72 Angles angle NNS A33999 697 73 between between IN A33999 697 74 the the DT A33999 697 75 wall wall NN A33999 697 76 and and CC A33999 697 77 the the DT A33999 697 78 Sun Sun NNP A33999 697 79 . . . A33999 698 1 fig fig NNP A33999 698 2 . . . A33999 699 1 1a 1a CD A33999 699 2 fig fig NN A33999 699 3 . . . A33999 700 1 2a 2a CD A33999 700 2 fig fig NNP A33999 700 3 . . . A33999 701 1 3a 3a NNP A33999 701 2 fig fig NNP A33999 701 3 . . . A33999 702 1 4a 4a LS A33999 702 2 Being be VBG A33999 702 3 thus thus RB A33999 702 4 prepared prepare VBN A33999 702 5 , , , A33999 702 6 draw draw VB A33999 702 7 three three CD A33999 702 8 Lines line NNS A33999 702 9 elsewhere elsewhere RB A33999 702 10 as as IN A33999 702 11 in in IN A33999 702 12 the the DT A33999 702 13 third third JJ A33999 702 14 figure figure NN A33999 702 15 meeting meeting NN A33999 702 16 in in IN A33999 702 17 a a DT A33999 702 18 Center Center NNP A33999 702 19 , , , A33999 702 20 and and CC A33999 702 21 making make VBG A33999 702 22 the the DT A33999 702 23 like like JJ A33999 702 24 Angles angle NNS A33999 702 25 as as IN A33999 702 26 the the DT A33999 702 27 shadows shadow NNS A33999 702 28 did do VBD A33999 702 29 , , , A33999 702 30 and and CC A33999 702 31 let let VB A33999 702 32 them -PRON- PRP A33999 702 33 be be VB A33999 702 34 produced produce VBN A33999 702 35 beyond beyond IN A33999 702 36 that that DT A33999 702 37 Center Center NNP A33999 702 38 , , , A33999 702 39 and and CC A33999 702 40 have have VBP A33999 702 41 the the DT A33999 702 42 same same JJ A33999 702 43 Letters letter NNS A33999 702 44 set set VBD A33999 702 45 to to IN A33999 702 46 them -PRON- PRP A33999 702 47 : : : A33999 702 48 make make VB A33999 702 49 CH CH NNP A33999 702 50 CG CG NNP A33999 702 51 in in IN A33999 702 52 this this DT A33999 702 53 Scheme Scheme NNP A33999 702 54 , , , A33999 702 55 equal equal JJ A33999 702 56 to to IN A33999 702 57 the the DT A33999 702 58 nearest near JJS A33999 702 59 distances distance NNS A33999 702 60 from from IN A33999 702 61 H H NNP A33999 702 62 I -PRON- PRP A33999 702 63 to to IN A33999 702 64 CB CB NNP A33999 702 65 , , , A33999 702 66 and and CC A33999 702 67 make make VB A33999 702 68 CL CL NNP A33999 702 69 equal equal JJ A33999 702 70 to to IN A33999 702 71 EC EC NNP A33999 702 72 , , , A33999 702 73 in in IN A33999 702 74 the the DT A33999 702 75 former former JJ A33999 702 76 Scheme Scheme NNP A33999 702 77 . . . A33999 703 1 Draw draw VB A33999 703 2 the the DT A33999 703 3 lines line NNS A33999 703 4 IG IG NNP A33999 703 5 , , , A33999 703 6 IH IH NNP A33999 703 7 produced produce VBD A33999 703 8 ; ; : A33999 703 9 and and CC A33999 703 10 make make VB A33999 703 11 HP HP NNP A33999 703 12 GO GO NNP A33999 703 13 equal equal JJ A33999 703 14 to to IN A33999 703 15 nearest near JJS A33999 703 16 distances distance NNS A33999 703 17 from from IN A33999 703 18 I -PRON- PRP A33999 703 19 H h NN A33999 703 20 to to IN A33999 703 21 BG BG NNP A33999 703 22 , , , A33999 703 23 and and CC A33999 703 24 parallel parallel NN A33999 703 25 to to IN A33999 703 26 HP HP NNP A33999 703 27 and and CC A33999 703 28 GO GO NNP A33999 703 29 , , , A33999 703 30 draw draw VB A33999 703 31 the the DT A33999 703 32 lines line NNS A33999 703 33 IN in IN A33999 703 34 , , , A33999 703 35 IM IM NNP A33999 703 36 , , , A33999 703 37 each each DT A33999 703 38 of of IN A33999 703 39 them -PRON- PRP A33999 703 40 made make VBD A33999 703 41 equal equal JJ A33999 703 42 to to IN A33999 703 43 CB CB NNP A33999 703 44 , , , A33999 703 45 then then RB A33999 703 46 draw draw VB A33999 703 47 the the DT A33999 703 48 Hipotenusals Hipotenusals NNP A33999 703 49 MO MO NNP A33999 703 50 , , , A33999 703 51 NP NP NNP A33999 703 52 , , , A33999 703 53 meeting meet VBG A33999 703 54 with with IN A33999 703 55 the the DT A33999 703 56 Bases Bases NNPS A33999 703 57 at at IN A33999 703 58 K K NNP A33999 703 59 and and CC A33999 703 60 L L NNP A33999 703 61 , , , A33999 703 62 draw draw VB A33999 703 63 the the DT A33999 703 64 Line Line NNP A33999 703 65 KL KL NNP A33999 703 66 , , , A33999 703 67 and and CC A33999 703 68 it -PRON- PRP A33999 703 69 shall shall MD A33999 703 70 represent represent VB A33999 703 71 the the DT A33999 703 72 Plains Plains NNPS A33999 703 73 Equinoctial equinoctial JJ A33999 703 74 or or CC A33999 703 75 contingent contingent JJ A33999 703 76 Line line NN A33999 703 77 . . . A33999 704 1 From from IN A33999 704 2 I -PRON- PRP A33999 704 3 , , , A33999 704 4 let let VB A33999 704 5 fall fall VB A33999 704 6 the the DT A33999 704 7 perpendicular perpendicular JJ A33999 704 8 IQ iq NN A33999 704 9 produced produce VBN A33999 704 10 , , , A33999 704 11 and and CC A33999 704 12 it -PRON- PRP A33999 704 13 shall shall MD A33999 704 14 be be VB A33999 704 15 the the DT A33999 704 16 Substilar substilar JJ A33999 704 17 line line NN A33999 704 18 on on IN A33999 704 19 the the DT A33999 704 20 Plain Plain NNP A33999 704 21 and and CC A33999 704 22 the the DT A33999 704 23 Point Point NNP A33999 704 24 Q Q NNP A33999 704 25 is be VBZ A33999 704 26 the the DT A33999 704 27 Equinoctial Equinoctial NNP A33999 704 28 Point Point NNP A33999 704 29 sought seek VBN A33999 704 30 . . . A33999 705 1 To to TO A33999 705 2 place place VB A33999 705 3 the the DT A33999 705 4 Substile Substile NNP A33999 705 5 . . . A33999 706 1 Then then RB A33999 706 2 repair repair VB A33999 706 3 to to IN A33999 706 4 the the DT A33999 706 5 Plain plain JJ A33999 706 6 whereon whereon NN A33999 706 7 you -PRON- PRP A33999 706 8 would would MD A33999 706 9 make make VB A33999 706 10 the the DT A33999 706 11 Dyal Dyal NNP A33999 706 12 represented represent VBN A33999 706 13 by by IN A33999 706 14 the the DT A33999 706 15 first first JJ A33999 706 16 Scheme Scheme NNP A33999 706 17 , , , A33999 706 18 and and CC A33999 706 19 place place VB A33999 706 20 CQ CQ NNP A33999 706 21 therein therein RB A33999 706 22 , , , A33999 706 23 so so IN A33999 706 24 that that IN A33999 706 25 it -PRON- PRP A33999 706 26 may may MD A33999 706 27 make make VB A33999 706 28 the the DT A33999 706 29 same same JJ A33999 706 30 Angle Angle NNP A33999 706 31 with with IN A33999 706 32 the the DT A33999 706 33 shadow shadow NN A33999 706 34 CE CE NNP A33999 706 35 , , , A33999 706 36 as as IN A33999 706 37 it -PRON- PRP A33999 706 38 doth doth JJ A33999 706 39 with with IN A33999 706 40 the the DT A33999 706 41 Line Line NNP A33999 706 42 IC IC NNP A33999 706 43 in in IN A33999 706 44 the the DT A33999 706 45 third third JJ A33999 706 46 Scheme Scheme NNP A33999 706 47 , , , A33999 706 48 and and CC A33999 706 49 it -PRON- PRP A33999 706 50 shall shall MD A33999 706 51 be be VB A33999 706 52 the the DT A33999 706 53 Substilar Substilar NNP A33999 706 54 Line Line NNP A33999 706 55 , , , A33999 706 56 which which WDT A33999 706 57 is be VBZ A33999 706 58 to to TO A33999 706 59 be be VB A33999 706 60 produced produce VBN A33999 706 61 , , , A33999 706 62 also also RB A33999 706 63 prick prick VB A33999 706 64 IQ iq NN A33999 706 65 from from IN A33999 706 66 the the DT A33999 706 67 third third JJ A33999 706 68 Scheme Scheme NNP A33999 706 69 from from IN A33999 706 70 C C NNP A33999 706 71 to to IN A33999 706 72 Q Q NNP A33999 706 73 on on IN A33999 706 74 the the DT A33999 706 75 Plain Plain NNP A33999 706 76 in in IN A33999 706 77 the the DT A33999 706 78 Substilar Substilar NNP A33999 706 79 Line Line NNP A33999 706 80 , , , A33999 706 81 and and CC A33999 706 82 upon upon IN A33999 706 83 the the DT A33999 706 84 point point NN A33999 706 85 C C NNP A33999 706 86 , , , A33999 706 87 perpendicular perpendicular JJ A33999 706 88 to to IN A33999 706 89 the the DT A33999 706 90 Substile Substile NNP A33999 706 91 , , , A33999 706 92 raise raise VB A33999 706 93 the the DT A33999 706 94 Line Line NNP A33999 706 95 AC AC NNP A33999 706 96 , , , A33999 706 97 and and CC A33999 706 98 make make VB A33999 706 99 it -PRON- PRP A33999 706 100 equal equal JJ A33999 706 101 to to IN A33999 706 102 CB CB NNP A33999 706 103 , , , A33999 706 104 drawing draw VBG A33999 706 105 the the DT A33999 706 106 Line Line NNP A33999 706 107 AQ AQ NNP A33999 706 108 , , , A33999 706 109 then then RB A33999 706 110 will will MD A33999 706 111 the the DT A33999 706 112 Angle angle JJ A33999 706 113 AQC AQC NNP A33999 706 114 be be VB A33999 706 115 equal equal JJ A33999 706 116 to to IN A33999 706 117 the the DT A33999 706 118 complement complement NN A33999 706 119 of of IN A33999 706 120 the the DT A33999 706 121 Stiles Stiles NNP A33999 706 122 height height NN A33999 706 123 ; ; : A33999 706 124 for for IN A33999 706 125 it -PRON- PRP A33999 706 126 is be VBZ A33999 706 127 the the DT A33999 706 128 Angle Angle NNP A33999 706 129 between between IN A33999 706 130 the the DT A33999 706 131 plain plain NN A33999 706 132 and and CC A33999 706 133 the the DT A33999 706 134 Equinoctial equinoctial JJ A33999 706 135 ; ; : A33999 706 136 just just RB A33999 706 137 as as IN A33999 706 138 before before RB A33999 706 139 in in IN A33999 706 140 the the DT A33999 706 141 Horizontal horizontal JJ A33999 706 142 plain plain NN A33999 706 143 , , , A33999 706 144 the the DT A33999 706 145 Sine Sine NNP A33999 706 146 of of IN A33999 706 147 the the DT A33999 706 148 greatest great JJS A33999 706 149 Altitude altitude NN A33999 706 150 was be VBD A33999 706 151 erected erect VBN A33999 706 152 on on IN A33999 706 153 a a DT A33999 706 154 Line line NN A33999 706 155 falling fall VBG A33999 706 156 perpendicular perpendicular JJ A33999 706 157 from from IN A33999 706 158 the the DT A33999 706 159 foot foot NN A33999 706 160 of of IN A33999 706 161 the the DT A33999 706 162 said say VBD A33999 706 163 Sine Sine NNP A33999 706 164 , , , A33999 706 165 to to IN A33999 706 166 the the DT A33999 706 167 intersection intersection NN A33999 706 168 of of IN A33999 706 169 the the DT A33999 706 170 plain plain NN A33999 706 171 of of IN A33999 706 172 the the DT A33999 706 173 Suns Suns NNPS A33999 706 174 parallel parallel NN A33999 706 175 with with IN A33999 706 176 the the DT A33999 706 177 plain plain NN A33999 706 178 of of IN A33999 706 179 the the DT A33999 706 180 Horizon Horizon NNP A33999 706 181 , , , A33999 706 182 and and CC A33999 706 183 thereby thereby RB A33999 706 184 gave give VBD A33999 706 185 the the DT A33999 706 186 Angle Angle NNP A33999 706 187 between between IN A33999 706 188 the the DT A33999 706 189 Suns Suns NNPS A33999 706 190 parrallel parrallel NNS A33999 706 191 and and CC A33999 706 192 the the DT A33999 706 193 Horizon Horizon NNP A33999 706 194 , , , A33999 706 195 equal equal JJ A33999 706 196 to to IN A33999 706 197 the the DT A33999 706 198 Complement Complement NNP A33999 706 199 of of IN A33999 706 200 the the DT A33999 706 201 Latitude Latitude NNP A33999 706 202 . . . A33999 707 1 To to TO A33999 707 2 find find VB A33999 707 3 the the DT A33999 707 4 Center Center NNP A33999 707 5 of of IN A33999 707 6 the the DT A33999 707 7 Dyal Dyal NNP A33999 707 8 and and CC A33999 707 9 Stiles Stiles NNP A33999 707 10 height height NN A33999 707 11 . . . A33999 708 1 If if IN A33999 708 2 from from IN A33999 708 3 the the DT A33999 708 4 point point NN A33999 708 5 A a DT A33999 708 6 you -PRON- PRP A33999 708 7 raise raise VBP A33999 708 8 the the DT A33999 708 9 Line Line NNP A33999 708 10 AV av NN A33999 708 11 perpendicularly perpendicularly RB A33999 708 12 to to IN A33999 708 13 AQ AQ NNP A33999 708 14 , , , A33999 708 15 where where WRB A33999 708 16 it -PRON- PRP A33999 708 17 cuts cut VBZ A33999 708 18 the the DT A33999 708 19 Substilar Substilar NNP A33999 708 20 Line Line NNP A33999 708 21 , , , A33999 708 22 as as IN A33999 708 23 at at IN A33999 708 24 V v NN A33999 708 25 , , , A33999 708 26 is be VBZ A33999 708 27 the the DT A33999 708 28 Center Center NNP A33999 708 29 of of IN A33999 708 30 the the DT A33999 708 31 Dial Dial NNP A33999 708 32 , , , A33999 708 33 and and CC A33999 708 34 he -PRON- PRP A33999 708 35 Line Line NNP A33999 708 36 AV AV NNP A33999 708 37 represents represent VBZ A33999 708 38 the the DT A33999 708 39 Stile Stile NNP A33999 708 40 . . . A33999 709 1 3 3 LS A33999 709 2 . . . A33999 710 1 To to TO A33999 710 2 draw draw VB A33999 710 3 the the DT A33999 710 4 Meridian Meridian NNP A33999 710 5 Line Line NNP A33999 710 6 . . . A33999 711 1 If if IN A33999 711 2 the the DT A33999 711 3 Plain Plain NNP A33999 711 4 recline recline NN A33999 711 5 , , , A33999 711 6 a a DT A33999 711 7 thread thread NN A33999 711 8 and and CC A33999 711 9 plummet plummet NN A33999 711 10 hanging hang VBG A33999 711 11 at at IN A33999 711 12 liberty liberty NN A33999 711 13 from from IN A33999 711 14 the the DT A33999 711 15 Point Point NNP A33999 711 16 B B NNP A33999 711 17 , , , A33999 711 18 and and CC A33999 711 19 touching touch VBG A33999 711 20 the the DT A33999 711 21 Plain Plain NNP A33999 711 22 , , , A33999 711 23 will will MD A33999 711 24 find find VB A33999 711 25 a a DT A33999 711 26 Point Point NNP A33999 711 27 therein therein RB A33999 711 28 , , , A33999 711 29 suppose suppose VB A33999 711 30 K K NNP A33999 711 31 a a DT A33999 711 32 line line NN A33999 711 33 drawn draw VBN A33999 711 34 from from IN A33999 711 35 K K NNP A33999 711 36 into into IN A33999 711 37 the the DT A33999 711 38 Center Center NNP A33999 711 39 of of IN A33999 711 40 the the DT A33999 711 41 Dial Dial NNP A33999 711 42 , , , A33999 711 43 shall shall MD A33999 711 44 be be VB A33999 711 45 the the DT A33999 711 46 Meridian meridian JJ A33999 711 47 line line NN A33999 711 48 of of IN A33999 711 49 the the DT A33999 711 50 place place NN A33999 711 51 . . . A33999 712 1 A a DT A33999 712 2 broad broad JJ A33999 712 3 ruler ruler NN A33999 712 4 with with IN A33999 712 5 a a DT A33999 712 6 sharp sharp JJ A33999 712 7 pin pin NN A33999 712 8 at at IN A33999 712 9 the the DT A33999 712 10 bottome bottome NN A33999 712 11 of of IN A33999 712 12 it -PRON- PRP A33999 712 13 , , , A33999 712 14 being be VBG A33999 712 15 in in IN A33999 712 16 a a DT A33999 712 17 right right JJ A33999 712 18 line line NN A33999 712 19 , , , A33999 712 20 with with IN A33999 712 21 a a DT A33999 712 22 line line NN A33999 712 23 traced trace VBN A33999 712 24 through through IN A33999 712 25 the the DT A33999 712 26 length length NN A33999 712 27 of of IN A33999 712 28 that that DT A33999 712 29 ruler ruler NN A33999 712 30 , , , A33999 712 31 whereto whereto VB A33999 712 32 the the DT A33999 712 33 plummet plummet NN A33999 712 34 is be VBZ A33999 712 35 to to TO A33999 712 36 hang hang VB A33999 712 37 , , , A33999 712 38 having have VBG A33999 712 39 a a DT A33999 712 40 hole hole NN A33999 712 41 cut cut VBN A33999 712 42 therein therein RB A33999 712 43 for for IN A33999 712 44 the the DT A33999 712 45 bullet bullet NN A33999 712 46 to to TO A33999 712 47 play play VB A33999 712 48 in in RP A33999 712 49 , , , A33999 712 50 will will MD A33999 712 51 find find VB A33999 712 52 this this DT A33999 712 53 Point Point NNP A33999 712 54 in in IN A33999 712 55 a a DT A33999 712 56 reclining recline VBG A33999 712 57 plain plain JJ A33999 712 58 . . . A33999 713 1 On on IN A33999 713 2 an an DT A33999 713 3 inclining incline VBG A33999 713 4 Plain Plain NNP A33999 713 5 , , , A33999 713 6 if if IN A33999 713 7 the the DT A33999 713 8 thread thread NN A33999 713 9 and and CC A33999 713 10 plummet plummet NN A33999 713 11 hang hang VB A33999 713 12 upon upon IN A33999 713 13 the the DT A33999 713 14 Stile Stile NNP A33999 713 15 at at IN A33999 713 16 liberty liberty NN A33999 713 17 , , , A33999 713 18 to to IN A33999 713 19 some some DT A33999 713 20 part part NN A33999 713 21 of of IN A33999 713 22 the the DT A33999 713 23 Stile Stile NNP A33999 713 24 more more RBR A33999 713 25 remote remote JJ A33999 713 26 from from IN A33999 713 27 the the DT A33999 713 28 Center Center NNP A33999 713 29 , , , A33999 713 30 fasten fasten RB A33999 713 31 another another DT A33999 713 32 thread thread NN A33999 713 33 , , , A33999 713 34 which which WDT A33999 713 35 being be VBG A33999 713 36 extended extend VBN A33999 713 37 thence thence NN A33999 713 38 to to IN A33999 713 39 the the DT A33999 713 40 Plain Plain NNP A33999 713 41 just just RB A33999 713 42 touching touch VBG A33999 713 43 the the DT A33999 713 44 former former JJ A33999 713 45 thread thread NN A33999 713 46 and and CC A33999 713 47 plummet plummet NN A33999 713 48 hanging hang VBG A33999 713 49 at at IN A33999 713 50 liberty liberty NN A33999 713 51 , , , A33999 713 52 will will MD A33999 713 53 find find VB A33999 713 54 many many JJ A33999 713 55 Points point NNS A33999 713 56 upon upon IN A33999 713 57 the the DT A33999 713 58 Plain Plain NNP A33999 713 59 , , , A33999 713 60 from from IN A33999 713 61 any any DT A33999 713 62 of of IN A33999 713 63 which which WDT A33999 713 64 , , , A33999 713 65 if if IN A33999 713 66 a a DT A33999 713 67 line line NN A33999 713 68 be be VB A33999 713 69 drawn draw VBN A33999 713 70 into into IN A33999 713 71 the the DT A33999 713 72 Center Center NNP A33999 713 73 it -PRON- PRP A33999 713 74 shall shall MD A33999 713 75 be be VB A33999 713 76 the the DT A33999 713 77 Meridian meridian JJ A33999 713 78 line line NN A33999 713 79 required require VBN A33999 713 80 ; ; : A33999 713 81 See see VB A33999 713 82 the the DT A33999 713 83 fourth fourth JJ A33999 713 84 figure figure NN A33999 713 85 : : : A33999 713 86 or or CC A33999 713 87 in in IN A33999 713 88 either either DT A33999 713 89 of of IN A33999 713 90 these these DT A33999 713 91 cases case NNS A33999 713 92 hold hold VBP A33999 713 93 a a DT A33999 713 94 thread thread NN A33999 713 95 and and CC A33999 713 96 plummet plummet VBP A33999 713 97 so so RB A33999 713 98 at at IN A33999 713 99 liberty liberty NN A33999 713 100 that that IN A33999 713 101 it -PRON- PRP A33999 713 102 may may MD A33999 713 103 just just RB A33999 713 104 touch touch VB A33999 713 105 the the DT A33999 713 106 Stile Stile NNP A33999 713 107 , , , A33999 713 108 and and CC A33999 713 109 bringing bring VBG A33999 713 110 your -PRON- PRP$ A33999 713 111 sight sight NN A33999 713 112 so so RB A33999 713 113 , , , A33999 713 114 as as IN A33999 713 115 to to TO A33999 713 116 cast cast VB A33999 713 117 the the DT A33999 713 118 said say VBN A33999 713 119 thread thread NN A33999 713 120 upon upon IN A33999 713 121 the the DT A33999 713 122 Center Center NNP A33999 713 123 at at IN A33999 713 124 the the DT A33999 713 125 same same JJ A33999 713 126 by by IN A33999 713 127 the the DT A33999 713 128 interposition interposition NN A33999 713 129 of of IN A33999 713 130 the the DT A33999 713 131 thread thread NN A33999 713 132 ; ; : A33999 713 133 the the DT A33999 713 134 eye eye NN A33999 713 135 will will MD A33999 713 136 project project VB A33999 713 137 a a DT A33999 713 138 true true JJ A33999 713 139 Meridian meridian JJ A33999 713 140 - - HYPH A33999 713 141 line line NN A33999 713 142 on on IN A33999 713 143 the the DT A33999 713 144 Plain Plain NNP A33999 713 145 , , , A33999 713 146 for for IN A33999 713 147 the the DT A33999 713 148 thread thread NN A33999 713 149 represents represent VBZ A33999 713 150 the the DT A33999 713 151 Axis Axis NNP A33999 713 152 of of IN A33999 713 153 the the DT A33999 713 154 Horizon Horizon NNP A33999 713 155 , , , A33999 713 156 and and CC A33999 713 157 the the DT A33999 713 158 Plain Plain NNP A33999 713 159 of of IN A33999 713 160 the the DT A33999 713 161 Meridian Meridian NNP A33999 713 162 , , , A33999 713 163 is be VBZ A33999 713 164 in in IN A33999 713 165 the the DT A33999 713 166 said say VBN A33999 713 167 Axis Axis NNP A33999 713 168 . . . A33999 714 1 If if IN A33999 714 2 the the DT A33999 714 3 Center Center NNP A33999 714 4 fall fall VBP A33999 714 5 inconvenient inconvenient NN A33999 714 6 upon upon IN A33999 714 7 the the DT A33999 714 8 Plain Plain NNP A33999 714 9 , , , A33999 714 10 it -PRON- PRP A33999 714 11 will will MD A33999 714 12 be be VB A33999 714 13 necessary necessary JJ A33999 714 14 to to TO A33999 714 15 draw draw VB A33999 714 16 the the DT A33999 714 17 Plains Plains NNPS A33999 714 18 perpendicular perpendicular JJ A33999 714 19 , , , A33999 714 20 passing pass VBG A33999 714 21 through through IN A33999 714 22 the the DT A33999 714 23 foot foot NN A33999 714 24 of of IN A33999 714 25 the the DT A33999 714 26 perpendicular perpendicular JJ A33999 714 27 Stile Stile NNP A33999 714 28 C C NNP A33999 714 29 , , , A33999 714 30 and and CC A33999 714 31 measure measure VB A33999 714 32 the the DT A33999 714 33 Angle angle NN A33999 714 34 of of IN A33999 714 35 some some DT A33999 714 36 of of IN A33999 714 37 the the DT A33999 714 38 Shadowes Shadowes NNP A33999 714 39 from from IN A33999 714 40 it -PRON- PRP A33999 714 41 , , , A33999 714 42 and and CC A33999 714 43 accordingly accordingly RB A33999 714 44 so so RB A33999 714 45 place place VB A33999 714 46 it -PRON- PRP A33999 714 47 in in IN A33999 714 48 the the DT A33999 714 49 third third JJ A33999 714 50 figure figure NN A33999 714 51 or or CC A33999 714 52 draught draught NN A33999 714 53 on on IN A33999 714 54 the the DT A33999 714 55 floor floor NN A33999 714 56 , , , A33999 714 57 on on IN A33999 714 58 which which WDT A33999 714 59 find find VBP A33999 714 60 the the DT A33999 714 61 Center Center NNP A33999 714 62 , , , A33999 714 63 and and CC A33999 714 64 afterwards afterwards RB A33999 714 65 assign assign VBP A33999 714 66 the the DT A33999 714 67 Center Center NNP A33999 714 68 on on IN A33999 714 69 the the DT A33999 714 70 Plain Plain NNP A33999 714 71 where where WRB A33999 714 72 it -PRON- PRP A33999 714 73 may may MD A33999 714 74 happen happen VB A33999 714 75 convenient convenient JJ A33999 714 76 , , , A33999 714 77 and and CC A33999 714 78 from from IN A33999 714 79 the the DT A33999 714 80 said say VBN A33999 714 81 draught draught NN A33999 714 82 , , , A33999 714 83 by by IN A33999 714 84 help help NN A33999 714 85 of of IN A33999 714 86 the the DT A33999 714 87 Plains Plains NNPS A33999 714 88 perpendicular perpendicular JJ A33999 714 89 , , , A33999 714 90 set set VBD A33999 714 91 off off RP A33999 714 92 the the DT A33999 714 93 substile substile NN A33999 714 94 and and CC A33999 714 95 Stiles Stiles NNP A33999 714 96 height height RB A33999 714 97 ; ; : A33999 714 98 On on IN A33999 714 99 plains plain NNS A33999 714 100 on on IN A33999 714 101 which which WDT A33999 714 102 probably probably RB A33999 714 103 the the DT A33999 714 104 Stile Stile NNP A33999 714 105 hath hath NN A33999 714 106 but but CC A33999 714 107 small small JJ A33999 714 108 height height NN A33999 714 109 , , , A33999 714 110 the the DT A33999 714 111 perpendicular perpendicular JJ A33999 714 112 Stile Stile NNP A33999 714 113 in in IN A33999 714 114 this this DT A33999 714 115 work work NN A33999 714 116 must must MD A33999 714 117 be be VB A33999 714 118 assumed assume VBN A33999 714 119 the the DT A33999 714 120 shorter short JJR A33999 714 121 . . . A33999 715 1 4 4 LS A33999 715 2 . . . A33999 716 1 To to TO A33999 716 2 draw draw VB A33999 716 3 the the DT A33999 716 4 Hour Hour NNP A33999 716 5 Lines Lines NNPS A33999 716 6 . . . A33999 717 1 These these DT A33999 717 2 may may MD A33999 717 3 be be VB A33999 717 4 set set VBN A33999 717 5 off off RP A33999 717 6 in in IN A33999 717 7 a a DT A33999 717 8 Paralellogram Paralellogram NNP A33999 717 9 after after IN A33999 717 10 the the DT A33999 717 11 Substile Substile NNP A33999 717 12 , , , A33999 717 13 Stile Stile NNP A33999 717 14 ' ' '' A33999 717 15 and and CC A33999 717 16 Meridian Meridian NNP A33999 717 17 are be VBP A33999 717 18 placed place VBN A33999 717 19 which which WDT A33999 717 20 I -PRON- PRP A33999 717 21 have have VBP A33999 717 22 handled handle VBN A33999 717 23 before before RB A33999 717 24 . . . A33999 718 1 Or or CC A33999 718 2 they -PRON- PRP A33999 718 3 may may MD A33999 718 4 be be VB A33999 718 5 inscribed inscribe VBN A33999 718 6 by by IN A33999 718 7 the the DT A33999 718 8 Circular Circular NNP A33999 718 9 work work NN A33999 718 10 , , , A33999 718 11 if if IN A33999 718 12 we -PRON- PRP A33999 718 13 assume assume VBP A33999 718 14 the the DT A33999 718 15 perpendicular perpendicular JJ A33999 718 16 Stile Stile NNP A33999 718 17 AC AC NNP A33999 718 18 , , , A33999 718 19 to to TO A33999 718 20 be be VB A33999 718 21 the the DT A33999 718 22 Sine Sine NNP A33999 718 23 of of IN A33999 718 24 the the DT A33999 718 25 Stiles Stiles NNP A33999 718 26 height height NN A33999 718 27 , , , A33999 718 28 the the DT A33999 718 29 Radius Radius NNP A33999 718 30 thereto thereto NN A33999 718 31 will will MD A33999 718 32 be be VB A33999 718 33 AV av NN A33999 718 34 , , , A33999 718 35 prick prick VB A33999 718 36 the the DT A33999 718 37 said say VBN A33999 718 38 Radius Radius NNP A33999 718 39 on on IN A33999 718 40 the the DT A33999 718 41 Substile Substile NNP A33999 718 42 from from IN A33999 718 43 V V NNP A33999 718 44 the the DT A33999 718 45 Center Center NNP A33999 718 46 to to IN A33999 718 47 , , , A33999 718 48 Z z NN A33999 718 49 , , , A33999 718 50 and and CC A33999 718 51 upon upon IN A33999 718 52 Z Z NNP A33999 718 53 as as IN A33999 718 54 a a DT A33999 718 55 Center Center NNP A33999 718 56 , , , A33999 718 57 describe describe VB A33999 718 58 the the DT A33999 718 59 Circle Circle NNP A33999 718 60 as as IN A33999 718 61 in in IN A33999 718 62 the the DT A33999 718 63 first first JJ A33999 718 64 figure figure NN A33999 718 65 , , , A33999 718 66 and and CC A33999 718 67 find find VB A33999 718 68 the the DT A33999 718 69 regulating regulating NN A33999 718 70 point point NN A33999 718 71 ☉ ☉ NNS A33999 718 72 by by IN A33999 718 73 former former JJ A33999 718 74 directions direction NNS A33999 718 75 , , , A33999 718 76 over over IN A33999 718 77 which which WDT A33999 718 78 from from IN A33999 718 79 O o NN A33999 718 80 the the DT A33999 718 81 point point NN A33999 718 82 where where WRB A33999 718 83 the the DT A33999 718 84 Meridian Meridian NNP A33999 718 85 of of IN A33999 718 86 the the DT A33999 718 87 place place NN A33999 718 88 cuts cut VBZ A33999 718 89 the the DT A33999 718 90 said say VBD A33999 718 91 Circle Circle NNP A33999 718 92 , , , A33999 718 93 lay lie VBD A33999 718 94 a a DT A33999 718 95 ruler ruler NN A33999 718 96 , , , A33999 718 97 and and CC A33999 718 98 it -PRON- PRP A33999 718 99 finds find VBZ A33999 718 100 M M NNP A33999 718 101 , , , A33999 718 102 on on IN A33999 718 103 the the DT A33999 718 104 opposite opposite JJ A33999 718 105 side side NN A33999 718 106 , , , A33999 718 107 being be VBG A33999 718 108 the the DT A33999 718 109 Point Point NNP A33999 718 110 from from IN A33999 718 111 whence whence NN A33999 718 112 the the DT A33999 718 113 Circle Circle NNP A33999 718 114 is be VBZ A33999 718 115 to to TO A33999 718 116 be be VB A33999 718 117 divided divide VBN A33999 718 118 into into IN A33999 718 119 12 12 CD A33999 718 120 . . . A33999 718 121 parts part NNS A33999 718 122 , , , A33999 718 123 for for IN A33999 718 124 the the DT A33999 718 125 houres houre NNS A33999 718 126 with with IN A33999 718 127 subdivisions subdivision NNS A33999 718 128 for for IN A33999 718 129 the the DT A33999 718 130 halfes halfes NNP A33999 718 131 & & CC A33999 718 132 quarters quarters NNPS A33999 718 133 . . . A33999 719 1 Here here RB A33999 719 2 note note VB A33999 719 3 that that IN A33999 719 4 the the DT A33999 719 5 arch arch JJ A33999 719 6 MV MV NNP A33999 719 7 , , , A33999 719 8 is be VBZ A33999 719 9 the the DT A33999 719 10 inclination inclination NN A33999 719 11 of of IN A33999 719 12 Meridians Meridians NNPS A33999 719 13 , , , A33999 719 14 the the DT A33999 719 15 whole whole JJ A33999 719 16 Semicircle Semicircle NNP A33999 719 17 being be VBG A33999 719 18 divided divide VBN A33999 719 19 but but CC A33999 719 20 into into IN A33999 719 21 90d 90d NNS A33999 719 22 , , , A33999 719 23 and and CC A33999 719 24 if if IN A33999 719 25 that that DT A33999 719 26 be be VB A33999 719 27 first first RB A33999 719 28 given give VBN A33999 719 29 ( ( -LRB- A33999 719 30 as as RB A33999 719 31 hereafter hereafter RB A33999 719 32 ) ) -RRB- A33999 719 33 we -PRON- PRP A33999 719 34 may may MD A33999 719 35 thereby thereby RB A33999 719 36 find find VB A33999 719 37 the the DT A33999 719 38 Point Point NNP A33999 719 39 O O NNP A33999 719 40 , , , A33999 719 41 whence whence NN A33999 719 42 the the DT A33999 719 43 Meridian Meridian NNP A33999 719 44 Line Line NNP A33999 719 45 is be VBZ A33999 719 46 to to TO A33999 719 47 be be VB A33999 719 48 drawn draw VBN A33999 719 49 into into IN A33999 719 50 the the DT A33999 719 51 Center Center NNP A33999 719 52 . . . A33999 720 1 5 5 CD A33999 720 2 . . . A33999 721 1 A a DT A33999 721 2 Method Method NNP A33999 721 3 of of IN A33999 721 4 Calculation Calculation NNP A33999 721 5 suited suit VBD A33999 721 6 hereto hereto NNP A33999 721 7 . . . A33999 722 1 This this DT A33999 722 2 is be VBZ A33999 722 3 altogether altogether RB A33999 722 4 the the DT A33999 722 5 same same JJ A33999 722 6 as as IN A33999 722 7 for for IN A33999 722 8 finding find VBG A33999 722 9 the the DT A33999 722 10 Azimuth Azimuth NNP A33999 722 11 of of IN A33999 722 12 the the DT A33999 722 13 shadowes shadowes NN A33999 722 14 on on IN A33999 722 15 the the DT A33999 722 16 Horizontal Horizontal NNP A33999 722 17 Plain Plain NNP A33999 722 18 and and CC A33999 722 19 as as IN A33999 722 20 easie easie NN A33999 722 21 , , , A33999 722 22 whereby whereby WRB A33999 722 23 in in IN A33999 722 24 the the DT A33999 722 25 third third JJ A33999 722 26 figure figure NN A33999 722 27 , , , A33999 722 28 the the DT A33999 722 29 Angle angle NN A33999 722 30 of of IN A33999 722 31 the the DT A33999 722 32 Substile Substile NNP A33999 722 33 CIQ CIQ NNP A33999 722 34 , , , A33999 722 35 must must MD A33999 722 36 be be VB A33999 722 37 set set VBN A33999 722 38 off off RP A33999 722 39 from from IN A33999 722 40 the the DT A33999 722 41 shadow shadow NN A33999 722 42 ICE ICE NNP A33999 722 43 , , , A33999 722 44 just just RB A33999 722 45 as as IN A33999 722 46 the the DT A33999 722 47 Meridian Meridian NNP A33999 722 48 Line Line NNP A33999 722 49 CP CP NNP A33999 722 50 , , , A33999 722 51 might may MD A33999 722 52 be be VB A33999 722 53 set set VBN A33999 722 54 off off RP A33999 722 55 from from IN A33999 722 56 the the DT A33999 722 57 shaddow shaddow NNP A33999 722 58 CK CK NNP A33999 722 59 on on IN A33999 722 60 the the DT A33999 722 61 Horizontal Horizontal NNP A33999 722 62 . . . A33999 723 1 And and CC A33999 723 2 the the DT A33999 723 3 complement complement NN A33999 723 4 of of IN A33999 723 5 the the DT A33999 723 6 Stiles Stiles NNPS A33999 723 7 height height NN A33999 723 8 AQV AQV NNP A33999 723 9 , , , A33999 723 10 in in IN A33999 723 11 the the DT A33999 723 12 first first JJ A33999 723 13 figure figure NN A33999 723 14 here here RB A33999 723 15 , , , A33999 723 16 as as IN A33999 723 17 the the DT A33999 723 18 complement complement NN A33999 723 19 of of IN A33999 723 20 the the DT A33999 723 21 Latitude Latitude NNP A33999 723 22 KTV KTV NNP A33999 723 23 , , , A33999 723 24 was be VBD A33999 723 25 found find VBN A33999 723 26 there there RB A33999 723 27 . . . A33999 724 1 Lastly lastly RB A33999 724 2 , , , A33999 724 3 for for IN A33999 724 4 placing place VBG A33999 724 5 the the DT A33999 724 6 Meridian Meridian NNP A33999 724 7 Line Line NNP A33999 724 8 of of IN A33999 724 9 the the DT A33999 724 10 place place NN A33999 724 11 by by IN A33999 724 12 calculation calculation NN A33999 724 13 , , , A33999 724 14 the the DT A33999 724 15 Substiles Substiles NNP A33999 724 16 distance distance NN A33999 724 17 from from IN A33999 724 18 the the DT A33999 724 19 plains plain NNS A33999 724 20 perpendicular perpendicular JJ A33999 724 21 , , , A33999 724 22 and and CC A33999 724 23 the the DT A33999 724 24 reclination reclination NN A33999 724 25 of of IN A33999 724 26 the the DT A33999 724 27 Plain Plain NNP A33999 724 28 must must MD A33999 724 29 be be VB A33999 724 30 found find VBN A33999 724 31 , , , A33999 724 32 which which WDT A33999 724 33 may may MD A33999 724 34 be be VB A33999 724 35 got get VBN A33999 724 36 easily easily RB A33999 724 37 at at IN A33999 724 38 any any DT A33999 724 39 time time NN A33999 724 40 without without IN A33999 724 41 dependence dependence NN A33999 724 42 on on IN A33999 724 43 the the DT A33999 724 44 Sun Sun NNP A33999 724 45 , , , A33999 724 46 and and CC A33999 724 47 then then RB A33999 724 48 in in IN A33999 724 49 the the DT A33999 724 50 often often RB A33999 724 51 - - HYPH A33999 724 52 mentioned mention VBN A33999 724 53 oblique oblique JJ A33999 724 54 Triangle Triangle NNP A33999 724 55 in in IN A33999 724 56 the the DT A33999 724 57 Sphere Sphere NNP A33999 724 58 , , , A33999 724 59 we -PRON- PRP A33999 724 60 have have VBP A33999 724 61 two two CD A33999 724 62 sides side NNS A33999 724 63 with with IN A33999 724 64 the the DT A33999 724 65 Angle Angle NNP A33999 724 66 comprehended comprehend VBN A33999 724 67 given give VBN A33999 724 68 , , , A33999 724 69 to to IN A33999 724 70 wit wit NN A33999 724 71 , , , A33999 724 72 the the DT A33999 724 73 complement complement NN A33999 724 74 of of IN A33999 724 75 the the DT A33999 724 76 Stiles Stiles NNP A33999 724 77 height height NN A33999 724 78 , , , A33999 724 79 the the DT A33999 724 80 complement complement NN A33999 724 81 of of IN A33999 724 82 the the DT A33999 724 83 reclination reclination NN A33999 724 84 , , , A33999 724 85 and and CC A33999 724 86 the the DT A33999 724 87 Substiles Substiles NNP A33999 724 88 distance distance NN A33999 724 89 from from IN A33999 724 90 the the DT A33999 724 91 Plaines Plaines NNP A33999 724 92 perpendicular perpendicular JJ A33999 724 93 whereby whereby WRB A33999 724 94 may may MD A33999 724 95 be be VB A33999 724 96 found find VBN A33999 724 97 the the DT A33999 724 98 inclination inclination NN A33999 724 99 of of IN A33999 724 100 Meridians Meridians NNPS A33999 724 101 : : : A33999 724 102 and and CC A33999 724 103 consequently consequently RB A33999 724 104 the the DT A33999 724 105 Meridian meridian JJ A33999 724 106 line line NN A33999 724 107 of of IN A33999 724 108 the the DT A33999 724 109 place place NN A33999 724 110 , , , A33999 724 111 also also RB A33999 724 112 the the DT A33999 724 113 Latitude Latitude NNP A33999 724 114 thereof thereof RB A33999 724 115 , , , A33999 724 116 with with IN A33999 724 117 the the DT A33999 724 118 Plains Plains NNP A33999 724 119 declination declination NN A33999 724 120 , , , A33999 724 121 if if IN A33999 724 122 they -PRON- PRP A33999 724 123 be be VBP A33999 724 124 required require VBN A33999 724 125 . . . A33999 725 1 To to TO A33999 725 2 perform perform VB A33999 725 3 all all PDT A33999 725 4 this this DT A33999 725 5 other other JJ A33999 725 6 wise wise JJ A33999 725 7 Geometrically Geometrically NNP A33999 725 8 and and CC A33999 725 9 instrumentally instrumentally RB A33999 725 10 , , , A33999 725 11 ( ( -LRB- A33999 725 12 but but CC A33999 725 13 not not RB A33999 725 14 by by IN A33999 725 15 calculation calculation NN A33999 725 16 ) ) -RRB- A33999 725 17 there there EX A33999 725 18 was be VBD A33999 725 19 an an DT A33999 725 20 entire entire JJ A33999 725 21 considerable considerable JJ A33999 725 22 quarto quarto NN A33999 725 23 treatise treatise NN A33999 725 24 , , , A33999 725 25 with with IN A33999 725 26 many many JJ A33999 725 27 excellent excellent JJ A33999 725 28 Prints print NNS A33999 725 29 from from IN A33999 725 30 brass brass NN A33999 725 31 - - HYPH A33999 725 32 Plates plate NNS A33999 725 33 thereto thereto NN A33999 725 34 belonging belong VBG A33999 725 35 , , , A33999 725 36 printed print VBN A33999 725 37 at at IN A33999 725 38 Paris Paris NNP A33999 725 39 in in IN A33999 725 40 France France NNP A33999 725 41 , , , A33999 725 42 in in IN A33999 725 43 An An NNP A33999 725 44 . . . A33999 726 1 1643 1643 CD A33999 726 2 . . . A33999 726 3 by by IN A33999 726 4 Monsieur Monsieur NNP A33999 726 5 Desargues Desargues NNP A33999 726 6 of of IN A33999 726 7 Lions Lions NNP A33999 726 8 , , , A33999 726 9 which which WDT A33999 726 10 Treatise Treatise NNP A33999 726 11 I -PRON- PRP A33999 726 12 have have VBP A33999 726 13 seen see VBN A33999 726 14 but but CC A33999 726 15 not not RB A33999 726 16 perused peruse VBN A33999 726 17 , , , A33999 726 18 a a DT A33999 726 19 year year NN A33999 726 20 after after IN A33999 726 21 was be VBD A33999 726 22 published publish VBN A33999 726 23 the the DT A33999 726 24 small small JJ A33999 726 25 Treatise Treatise NNP A33999 726 26 of of IN A33999 726 27 Monsieur Monsieur NNP A33999 726 28 Vaulezard Vaulezard NNP A33999 726 29 before before IN A33999 726 30 mentioned mention VBD A33999 726 31 . . . A33999 727 1 The the DT A33999 727 2 inscribing inscribing NN A33999 727 3 of of IN A33999 727 4 the the DT A33999 727 5 Signes Signes NNPS A33999 727 6 , , , A33999 727 7 Azimuths Azimuths NNPS A33999 727 8 , , , A33999 727 9 parallels parallel NNS A33999 727 10 of of IN A33999 727 11 the the DT A33999 727 12 longest long JJS A33999 727 13 day day NN A33999 727 14 , , , A33999 727 15 & & CC A33999 727 16 c. c. NNP A33999 727 17 are be VBP A33999 727 18 lately lately RB A33999 727 19 handled handle VBN A33999 727 20 by by IN A33999 727 21 Mr. Mr. NNP A33999 727 22 Leybourn Leybourn NNP A33999 727 23 in in IN A33999 727 24 his -PRON- PRP$ A33999 727 25 Appendix Appendix NNP A33999 727 26 to to IN A33999 727 27 Mr. Mr. NNP A33999 727 28 Stirrups Stirrups NNP A33999 727 29 Dyalling Dyalling NNP A33999 727 30 , , , A33999 727 31 as as RB A33999 727 32 also also RB A33999 727 33 by by IN A33999 727 34 Mr. Mr. NNP A33999 727 35 Gibson Gibson NNP A33999 727 36 in in IN A33999 727 37 his -PRON- PRP$ A33999 727 38 Algebra Algebra NNP A33999 727 39 , , , A33999 727 40 who who WP A33999 727 41 thinks think VBZ A33999 727 42 in in IN A33999 727 43 many many JJ A33999 727 44 cases case NNS A33999 727 45 that that WDT A33999 727 46 they -PRON- PRP A33999 727 47 deform deform VBP A33999 727 48 a a DT A33999 727 49 plain plain NN A33999 727 50 , , , A33999 727 51 and and CC A33999 727 52 are be VBP A33999 727 53 seldome seldome JJ A33999 727 54 understood understand VBN A33999 727 55 by by IN A33999 727 56 the the DT A33999 727 57 vulgar vulgar NN A33999 727 58 , , , A33999 727 59 wherefore wherefore VBD A33999 727 60 it -PRON- PRP A33999 727 61 will will MD A33999 727 62 not not RB A33999 727 63 be be VB A33999 727 64 necessary necessary JJ A33999 727 65 to to TO A33999 727 66 treat treat VB A33999 727 67 thereof thereof RB A33999 727 68 . . . A33999 728 1 The the DT A33999 728 2 directions direction NNS A33999 728 3 throughout throughout IN A33999 728 4 this this DT A33999 728 5 Book Book NNP A33999 728 6 are be VBP A33999 728 7 suited suited JJ A33999 728 8 to to IN A33999 728 9 the the DT A33999 728 10 Northern Northern NNP A33999 728 11 Hemisphere Hemisphere NNP A33999 728 12 and and CC A33999 728 13 are be VBP A33999 728 14 the the DT A33999 728 15 same same JJ A33999 728 16 in in IN A33999 728 17 the the DT A33999 728 18 Southern Southern NNP A33999 728 19 Hemisphere Hemisphere NNP A33999 728 20 , , , A33999 728 21 if if IN A33999 728 22 the the DT A33999 728 23 words word NNS A33999 728 24 South South NNP A33999 728 25 for for IN A33999 728 26 North North NNP A33999 728 27 , , , A33999 728 28 and and CC A33999 728 29 North North NNP A33999 728 30 for for IN A33999 728 31 South South NNP A33999 728 32 be be VB A33999 728 33 mutually mutually RB A33999 728 34 changed change VBN A33999 728 35 . . . A33999 729 1 Since since IN A33999 729 2 the the DT A33999 729 3 Printing printing NN A33999 729 4 of of IN A33999 729 5 this this DT A33999 729 6 Treatise Treatise NNP A33999 729 7 , , , A33999 729 8 I -PRON- PRP A33999 729 9 have have VBP A33999 729 10 not not RB A33999 729 11 had have VBN A33999 729 12 time time NN A33999 729 13 to to TO A33999 729 14 revise revise VB A33999 729 15 it -PRON- PRP A33999 729 16 with with IN A33999 729 17 the the DT A33999 729 18 Copy Copy NNP A33999 729 19 , , , A33999 729 20 and and CC A33999 729 21 so so RB A33999 729 22 can can MD A33999 729 23 not not RB A33999 729 24 give give VB A33999 729 25 thee thee PRP A33999 729 26 a a DT A33999 729 27 full full JJ A33999 729 28 account account NN A33999 729 29 of of IN A33999 729 30 what what WP A33999 729 31 faults fault NNS A33999 729 32 may may MD A33999 729 33 have have VB A33999 729 34 escaped escape VBN A33999 729 35 , , , A33999 729 36 which which WDT A33999 729 37 I -PRON- PRP A33999 729 38 think think VBP A33999 729 39 are be VBP A33999 729 40 not not RB A33999 729 41 many many JJ A33999 729 42 ; ; : A33999 729 43 these these DT A33999 729 44 few few JJ A33999 729 45 following following NN A33999 729 46 be be VB A33999 729 47 pleased pleased JJ A33999 729 48 to to TO A33999 729 49 correct correct VB A33999 729 50 . . . A33999 730 1 Errata errata NN A33999 730 2 . . . A33999 731 1 Page page NN A33999 731 2 17 17 CD A33999 731 3 line line NN A33999 731 4 3 3 CD A33999 731 5 upon upon IN A33999 731 6 M m NN A33999 731 7 read read VBN A33999 731 8 upon upon IN A33999 731 9 C. C. NNP A33999 731 10 p. p. NNP A33999 731 11 15 15 CD A33999 731 12 l. l. CC A33999 731 13 34 34 CD A33999 731 14 for for IN A33999 731 15 Substilar Substilar NNP A33999 731 16 Sine Sine NNP A33999 731 17 r. r. NN A33999 731 18 Substilar Substilar NNP A33999 731 19 Line Line NNP A33999 731 20 . . . A33999 732 1 p. p. NN A33999 732 2 25 25 CD A33999 732 3 . . . A33999 732 4 l. l. NNP A33999 732 5 12 12 CD A33999 732 6 for for IN A33999 732 7 20d 20d NNS A33999 732 8 r. r. NNP A33999 732 9 15d 15d NNS A33999 732 10 . . . A33999 733 1 p. p. NN A33999 733 2 36 36 CD A33999 733 3 l. l. CC A33999 733 4 17 17 CD A33999 733 5 for for IN A33999 733 6 51′ 51′ CD A33999 733 7 . . . A33999 734 1 r. r. NNP A33999 734 2 31′ 31′ CD A33999 734 3 . . . A33999 735 1 FINIS FINIS NNP A33999 735 2 . . .