id sid tid token lemma pos 63372 1 1 Proofreading Proofreading NNP 63372 1 2 Team Team NNP 63372 1 3 at at IN 63372 1 4 https://www.pgdp.net/ https://www.pgdp.net/ NN 63372 1 5 for for IN 63372 1 6 Project Project NNP 63372 1 7 Gutenberg Gutenberg NNP 63372 1 8 ( ( -LRB- 63372 1 9 This this DT 63372 1 10 book book NN 63372 1 11 was be VBD 63372 1 12 produced produce VBN 63372 1 13 from from IN 63372 1 14 scanned scan VBN 63372 1 15 images image NNS 63372 1 16 of of IN 63372 1 17 public public JJ 63372 1 18 domain domain NN 63372 1 19 material material NN 63372 1 20 from from IN 63372 1 21 the the DT 63372 1 22 Google Google NNP 63372 1 23 Books Books NNP 63372 1 24 project project NN 63372 1 25 . . . 63372 1 26 ) ) -RRB- 63372 2 1 TRANSCRIBERS TRANSCRIBERS NNP 63372 2 2 NOTE NOTE NNP 63372 2 3 : : : 63372 2 4 The the DT 63372 2 5 plain plain JJ 63372 2 6 text text NN 63372 2 7 version version NN 63372 2 8 of of IN 63372 2 9 this this DT 63372 2 10 ebook ebook NN 63372 2 11 includes include VBZ 63372 2 12 mathematical mathematical JJ 63372 2 13 formulas formula NNS 63372 2 14 in in IN 63372 2 15 TeX TeX NNP 63372 2 16 notation notation NN 63372 2 17 . . . 63372 3 1 These these DT 63372 3 2 formulas formula NNS 63372 3 3 are be VBP 63372 3 4 enclosed enclose VBN 63372 3 5 between between IN 63372 3 6 dollar dollar NN 63372 3 7 signs sign NNS 63372 3 8 . . . 63372 4 1 The the DT 63372 4 2 HTML html NN 63372 4 3 version version NN 63372 4 4 includes include VBZ 63372 4 5 the the DT 63372 4 6 same same JJ 63372 4 7 formulas formula NNS 63372 4 8 rendered render VBN 63372 4 9 in in IN 63372 4 10 their -PRON- PRP$ 63372 4 11 original original JJ 63372 4 12 form form NN 63372 4 13 . . . 63372 5 1 EINSTEIN EINSTEIN NNP 63372 5 2 'S 's POS 63372 5 3 THEORIES theory NNS 63372 5 4 OF of IN 63372 5 5 RELATIVITY RELATIVITY NNP 63372 5 6 AND and CC 63372 5 7 GRAVITATION GRAVITATION NNP 63372 5 8 A a NN 63372 5 9 SELECTION selection NN 63372 5 10 OF of IN 63372 5 11 MATERIAL material NN 63372 5 12 FROM from IN 63372 5 13 THE the DT 63372 5 14 ESSAYS essay NNS 63372 5 15 SUBMITTED submit VBN 63372 5 16 IN in IN 63372 5 17 THE the DT 63372 5 18 COMPETITION COMPETITION NNP 63372 5 19 FOR for IN 63372 5 20 THE the DT 63372 5 21 EUGENE EUGENE NNP 63372 5 22 HIGGINS higgins JJ 63372 5 23 PRIZE prize NN 63372 5 24 OF of IN 63372 5 25 $ $ $ 63372 5 26 5,000 5,000 CD 63372 5 27 COMPILED compiled NN 63372 5 28 AND and CC 63372 5 29 EDITED edit VBN 63372 5 30 , , , 63372 5 31 AND and CC 63372 5 32 INTRODUCTORY INTRODUCTORY NNP 63372 5 33 MATTER MATTER NNP 63372 5 34 SUPPLIED SUPPLIED NNP 63372 5 35 BY by IN 63372 5 36 J. J. NNP 63372 5 37 MALCOLM MALCOLM NNP 63372 5 38 BIRD BIRD NNP 63372 5 39 , , , 63372 5 40 Associate Associate NNP 63372 5 41 Editor Editor NNP 63372 5 42 , , , 63372 5 43 Scientific Scientific NNP 63372 5 44 American American NNP 63372 5 45 NEW NEW NNP 63372 5 46 YORK YORK NNP 63372 5 47 SCIENTIFIC SCIENTIFIC NNP 63372 5 48 AMERICAN AMERICAN NNP 63372 5 49 PUBLISHING PUBLISHING NNP 63372 5 50 CO CO NNP 63372 5 51 . . NNP 63372 5 52 , , , 63372 5 53 MUNN MUNN NNP 63372 5 54 & & CC 63372 5 55 CO CO NNP 63372 5 56 . . . 63372 5 57 1921 1921 CD 63372 5 58 PREFACE preface NN 63372 5 59 The the DT 63372 5 60 obstacles obstacle NNS 63372 5 61 which which WDT 63372 5 62 the the DT 63372 5 63 layman layman NN 63372 5 64 finds find VBZ 63372 5 65 to to IN 63372 5 66 understanding understand VBG 63372 5 67 Einstein Einstein NNP 63372 5 68 's 's POS 63372 5 69 relativity relativity NN 63372 5 70 theories theory NNS 63372 5 71 lie lie VBP 63372 5 72 not not RB 63372 5 73 so so RB 63372 5 74 much much JJ 63372 5 75 in in IN 63372 5 76 the the DT 63372 5 77 inherent inherent JJ 63372 5 78 difficulty difficulty NN 63372 5 79 of of IN 63372 5 80 these these DT 63372 5 81 theories theory NNS 63372 5 82 themselves -PRON- PRP 63372 5 83 as as IN 63372 5 84 in in IN 63372 5 85 the the DT 63372 5 86 difficulty difficulty NN 63372 5 87 of of IN 63372 5 88 preparing prepare VBG 63372 5 89 the the DT 63372 5 90 mind mind NN 63372 5 91 for for IN 63372 5 92 their -PRON- PRP$ 63372 5 93 reception reception NN 63372 5 94 . . . 63372 6 1 The the DT 63372 6 2 theory theory NN 63372 6 3 is be VBZ 63372 6 4 no no DT 63372 6 5 more more RBR 63372 6 6 difficult difficult JJ 63372 6 7 than than IN 63372 6 8 any any DT 63372 6 9 scientific scientific JJ 63372 6 10 development development NN 63372 6 11 of of IN 63372 6 12 comparable comparable JJ 63372 6 13 depth depth NN 63372 6 14 ; ; : 63372 6 15 it -PRON- PRP 63372 6 16 is be VBZ 63372 6 17 not not RB 63372 6 18 so so RB 63372 6 19 difficult difficult JJ 63372 6 20 as as IN 63372 6 21 some some DT 63372 6 22 of of IN 63372 6 23 these these DT 63372 6 24 . . . 63372 7 1 But but CC 63372 7 2 it -PRON- PRP 63372 7 3 is be VBZ 63372 7 4 a a DT 63372 7 5 fact fact NN 63372 7 6 that that IN 63372 7 7 for for IN 63372 7 8 a a DT 63372 7 9 decent decent JJ 63372 7 10 understanding understanding NN 63372 7 11 of of IN 63372 7 12 it -PRON- PRP 63372 7 13 , , , 63372 7 14 a a DT 63372 7 15 large large JJ 63372 7 16 background background NN 63372 7 17 of of IN 63372 7 18 scientific scientific JJ 63372 7 19 knowledge knowledge NN 63372 7 20 and and CC 63372 7 21 scientific scientific JJ 63372 7 22 habit habit NN 63372 7 23 of of IN 63372 7 24 thought thought NN 63372 7 25 is be VBZ 63372 7 26 essential essential JJ 63372 7 27 . . . 63372 8 1 The the DT 63372 8 2 bulk bulk NN 63372 8 3 of of IN 63372 8 4 the the DT 63372 8 5 writers writer NNS 63372 8 6 who who WP 63372 8 7 have have VBP 63372 8 8 attempted attempt VBN 63372 8 9 to to TO 63372 8 10 explain explain VB 63372 8 11 Einstein Einstein NNP 63372 8 12 to to IN 63372 8 13 the the DT 63372 8 14 general general JJ 63372 8 15 reader reader NN 63372 8 16 have have VBP 63372 8 17 not not RB 63372 8 18 realized realize VBN 63372 8 19 the the DT 63372 8 20 great great NNP 63372 8 21 gulf gulf NNP 63372 8 22 which which WDT 63372 8 23 lies lie VBZ 63372 8 24 between between IN 63372 8 25 the the DT 63372 8 26 mental mental JJ 63372 8 27 processes process NNS 63372 8 28 of of IN 63372 8 29 the the DT 63372 8 30 trained train VBN 63372 8 31 mathematician mathematician NNP 63372 8 32 and and CC 63372 8 33 those those DT 63372 8 34 of of IN 63372 8 35 the the DT 63372 8 36 man man NN 63372 8 37 in in IN 63372 8 38 the the DT 63372 8 39 street street NN 63372 8 40 . . . 63372 9 1 They -PRON- PRP 63372 9 2 have have VBP 63372 9 3 not not RB 63372 9 4 perceived perceive VBN 63372 9 5 that that IN 63372 9 6 the the DT 63372 9 7 lay lay JJ 63372 9 8 reader reader NN 63372 9 9 must must MD 63372 9 10 be be VB 63372 9 11 personally personally RB 63372 9 12 conducted conduct VBN 63372 9 13 for for IN 63372 9 14 a a DT 63372 9 15 long long JJ 63372 9 16 distance distance NN 63372 9 17 from from IN 63372 9 18 the the DT 63372 9 19 vestibule vestibule NN 63372 9 20 of of IN 63372 9 21 the the DT 63372 9 22 temple temple NNP 63372 9 23 of of IN 63372 9 24 science science NNP 63372 9 25 before before IN 63372 9 26 he -PRON- PRP 63372 9 27 comes come VBZ 63372 9 28 to to IN 63372 9 29 Einstein Einstein NNP 63372 9 30 , , , 63372 9 31 and and CC 63372 9 32 that that IN 63372 9 33 he -PRON- PRP 63372 9 34 can can MD 63372 9 35 not not RB 63372 9 36 by by IN 63372 9 37 any any DT 63372 9 38 possibility possibility NN 63372 9 39 make make VB 63372 9 40 this this DT 63372 9 41 journey journey NN 63372 9 42 unaided unaide VBN 63372 9 43 . . . 63372 10 1 The the DT 63372 10 2 result result NN 63372 10 3 has have VBZ 63372 10 4 been be VBN 63372 10 5 to to TO 63372 10 6 pitchfork pitchfork VB 63372 10 7 the the DT 63372 10 8 reader reader NN 63372 10 9 into into IN 63372 10 10 the the DT 63372 10 11 intricacies intricacy NNS 63372 10 12 of of IN 63372 10 13 the the DT 63372 10 14 subject subject NN 63372 10 15 without without IN 63372 10 16 adequate adequate JJ 63372 10 17 preparation preparation NN 63372 10 18 . . . 63372 11 1 The the DT 63372 11 2 present present JJ 63372 11 3 volume volume NN 63372 11 4 avoids avoid VBZ 63372 11 5 this this DT 63372 11 6 mistake mistake NN 63372 11 7 with with IN 63372 11 8 the the DT 63372 11 9 utmost utmost JJ 63372 11 10 care care NN 63372 11 11 . . . 63372 12 1 It -PRON- PRP 63372 12 2 avoids avoid VBZ 63372 12 3 it -PRON- PRP 63372 12 4 , , , 63372 12 5 in in IN 63372 12 6 fact fact NN 63372 12 7 , , , 63372 12 8 with with IN 63372 12 9 such such JJ 63372 12 10 deliberation deliberation NN 63372 12 11 as as IN 63372 12 12 to to TO 63372 12 13 make make VB 63372 12 14 it -PRON- PRP 63372 12 15 in in IN 63372 12 16 order order NN 63372 12 17 to to TO 63372 12 18 say say VB 63372 12 19 a a DT 63372 12 20 word word NN 63372 12 21 in in IN 63372 12 22 explanation explanation NN 63372 12 23 of of IN 63372 12 24 what what WP 63372 12 25 will will MD 63372 12 26 at at IN 63372 12 27 first first JJ 63372 12 28 glance glance NN 63372 12 29 seem seem VB 63372 12 30 an an DT 63372 12 31 extraordinary extraordinary JJ 63372 12 32 arrangement arrangement NN 63372 12 33 of of IN 63372 12 34 material material NN 63372 12 35 . . . 63372 13 1 It -PRON- PRP 63372 13 2 was be VBD 63372 13 3 to to TO 63372 13 4 be be VB 63372 13 5 expected expect VBN 63372 13 6 , , , 63372 13 7 doubtless doubtless RB 63372 13 8 , , , 63372 13 9 that that IN 63372 13 10 this this DT 63372 13 11 book book NN 63372 13 12 would would MD 63372 13 13 open open VB 63372 13 14 with with IN 63372 13 15 a a DT 63372 13 16 brief brief JJ 63372 13 17 statement statement NN 63372 13 18 of of IN 63372 13 19 the the DT 63372 13 20 genesis genesis NN 63372 13 21 and and CC 63372 13 22 the the DT 63372 13 23 outcome outcome NN 63372 13 24 of of IN 63372 13 25 the the DT 63372 13 26 Einstein Einstein NNP 63372 13 27 Prize Prize NNP 63372 13 28 Essay Essay NNP 63372 13 29 Contest Contest NNP 63372 13 30 for for IN 63372 13 31 the the DT 63372 13 32 $ $ $ 63372 13 33 5,000 5,000 CD 63372 13 34 prize prize NN 63372 13 35 offered offer VBN 63372 13 36 by by 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63372 14 36 theories theory NNS 63372 14 37 . . . 63372 15 1 When when WRB 63372 15 2 the the DT 63372 15 3 reader reader NN 63372 15 4 observes observe VBZ 63372 15 5 that that IN 63372 15 6 this this DT 63372 15 7 has have VBZ 63372 15 8 not not RB 63372 15 9 been be VBN 63372 15 10 done do VBN 63372 15 11 , , , 63372 15 12 he -PRON- PRP 63372 15 13 will will MD 63372 15 14 by by IN 63372 15 15 all all DT 63372 15 16 means mean NNS 63372 15 17 expect expect VB 63372 15 18 a a DT 63372 15 19 word word NN 63372 15 20 of of IN 63372 15 21 explanation explanation NN 63372 15 22 ; ; : 63372 15 23 and and CC 63372 15 24 it -PRON- PRP 63372 15 25 is be VBZ 63372 15 26 mainly mainly RB 63372 15 27 for for IN 63372 15 28 the the DT 63372 15 29 purpose purpose NN 63372 15 30 of of IN 63372 15 31 giving give VBG 63372 15 32 this this DT 63372 15 33 that that IN 63372 15 34 we -PRON- PRP 63372 15 35 make make VBP 63372 15 36 these these DT 63372 15 37 introductory introductory JJ 63372 15 38 remarks remark NNS 63372 15 39 . . . 63372 16 1 The the DT 63372 16 2 essays essay NNS 63372 16 3 submitted submit VBN 63372 16 4 in in IN 63372 16 5 the the DT 63372 16 6 contest contest NN 63372 16 7 , , , 63372 16 8 and and CC 63372 16 9 in in IN 63372 16 10 particular particular JJ 63372 16 11 the the DT 63372 16 12 comments comment NNS 63372 16 13 of of IN 63372 16 14 a a DT 63372 16 15 few few JJ 63372 16 16 disappointed disappointed JJ 63372 16 17 readers reader NNS 63372 16 18 upon upon IN 63372 16 19 Mr. Mr. NNP 63372 16 20 Bolton Bolton NNP 63372 16 21 's 's POS 63372 16 22 prize prize NN 63372 16 23 essay essay NN 63372 16 24 , , , 63372 16 25 make make VBP 63372 16 26 quite quite RB 63372 16 27 plain plain JJ 63372 16 28 what what WP 63372 16 29 might may MD 63372 16 30 have have VB 63372 16 31 been be VBN 63372 16 32 anticipated anticipate VBN 63372 16 33 -- -- : 63372 16 34 that that IN 63372 16 35 in in IN 63372 16 36 the the DT 63372 16 37 small small JJ 63372 16 38 compass compass NN 63372 16 39 of of IN 63372 16 40 3,000 3,000 CD 63372 16 41 words word NNS 63372 16 42 it -PRON- PRP 63372 16 43 is be VBZ 63372 16 44 not not RB 63372 16 45 possible possible JJ 63372 16 46 both both DT 63372 16 47 to to TO 63372 16 48 prepare prepare VB 63372 16 49 the the DT 63372 16 50 reader reader NN 63372 16 51 's 's POS 63372 16 52 mind mind NN 63372 16 53 for for IN 63372 16 54 a a DT 63372 16 55 discussion discussion NN 63372 16 56 of of IN 63372 16 57 Relativity Relativity NNP 63372 16 58 and and CC 63372 16 59 to to TO 63372 16 60 give give VB 63372 16 61 a a DT 63372 16 62 discussion discussion NN 63372 16 63 that that WDT 63372 16 64 shall shall MD 63372 16 65 be be VB 63372 16 66 adequate adequate JJ 63372 16 67 . . . 63372 17 1 Mr. Mr. NNP 63372 17 2 Bolton Bolton NNP 63372 17 3 himself -PRON- PRP 63372 17 4 , , , 63372 17 5 in in IN 63372 17 6 replying reply VBG 63372 17 7 to to IN 63372 17 8 a a DT 63372 17 9 protest protest NN 63372 17 10 that that IN 63372 17 11 he -PRON- PRP 63372 17 12 had have VBD 63372 17 13 not not RB 63372 17 14 done do VBN 63372 17 15 all all PDT 63372 17 16 this this DT 63372 17 17 , , , 63372 17 18 has have VBZ 63372 17 19 used use VBN 63372 17 20 the the DT 63372 17 21 word word NN 63372 17 22 " " `` 63372 17 23 miracle"--we miracle"--we NN 63372 17 24 think think VBP 63372 17 25 it -PRON- PRP 63372 17 26 a a DT 63372 17 27 well well RB 63372 17 28 - - HYPH 63372 17 29 advised advise VBN 63372 17 30 one one NN 63372 17 31 . . . 63372 18 1 No no DT 63372 18 2 miracle miracle NN 63372 18 3 was be VBD 63372 18 4 expected expect VBN 63372 18 5 as as IN 63372 18 6 a a DT 63372 18 7 result result NN 63372 18 8 of of IN 63372 18 9 the the DT 63372 18 10 contest contest NN 63372 18 11 , , , 63372 18 12 and and CC 63372 18 13 none none NN 63372 18 14 has have VBZ 63372 18 15 been be VBN 63372 18 16 achieved achieve VBN 63372 18 17 . . . 63372 19 1 But but CC 63372 19 2 in in IN 63372 19 3 awarding award VBG 63372 19 4 the the DT 63372 19 5 prize prize NN 63372 19 6 , , , 63372 19 7 the the DT 63372 19 8 Judges Judges NNPS 63372 19 9 had have VBD 63372 19 10 to to TO 63372 19 11 decide decide VB 63372 19 12 whether whether IN 63372 19 13 it -PRON- PRP 63372 19 14 was be VBD 63372 19 15 the the DT 63372 19 16 best good JJS 63372 19 17 preliminary preliminary JJ 63372 19 18 exposition exposition NN 63372 19 19 or or CC 63372 19 20 the the DT 63372 19 21 best good JJS 63372 19 22 discussion discussion NN 63372 19 23 that that WDT 63372 19 24 was be VBD 63372 19 25 wanted want VBN 63372 19 26 . . . 63372 20 1 They -PRON- PRP 63372 20 2 decided decide VBD 63372 20 3 , , , 63372 20 4 and and CC 63372 20 5 rightly rightly RB 63372 20 6 we -PRON- PRP 63372 20 7 believe believe VBP 63372 20 8 , , , 63372 20 9 that that IN 63372 20 10 the the DT 63372 20 11 award award NN 63372 20 12 should should MD 63372 20 13 go go VB 63372 20 14 to to IN 63372 20 15 an an DT 63372 20 16 actual actual JJ 63372 20 17 statement statement NN 63372 20 18 of of IN 63372 20 19 what what WP 63372 20 20 the the DT 63372 20 21 Einstein Einstein NNP 63372 20 22 theories theory NNS 63372 20 23 are be VBP 63372 20 24 and and CC 63372 20 25 what what WP 63372 20 26 they -PRON- PRP 63372 20 27 do do VBP 63372 20 28 , , , 63372 20 29 rather rather RB 63372 20 30 than than IN 63372 20 31 to to IN 63372 20 32 a a DT 63372 20 33 mere mere JJ 63372 20 34 introduction introduction NN 63372 20 35 , , , 63372 20 36 however however RB 63372 20 37 well well RB 63372 20 38 conceived conceived JJ 63372 20 39 and and CC 63372 20 40 well well RB 63372 20 41 executed execute VBD 63372 20 42 the the DT 63372 20 43 latter latter JJ 63372 20 44 might may MD 63372 20 45 be be VB 63372 20 46 . . . 63372 21 1 Nevertheless nevertheless RB 63372 21 2 , , , 63372 21 3 we -PRON- PRP 63372 21 4 should should MD 63372 21 5 be be VB 63372 21 6 closing close VBG 63372 21 7 our -PRON- PRP$ 63372 21 8 eyes eye NNS 63372 21 9 to to IN 63372 21 10 a a DT 63372 21 11 very very RB 63372 21 12 obvious obvious JJ 63372 21 13 fact fact NN 63372 21 14 if if IN 63372 21 15 we -PRON- PRP 63372 21 16 did do VBD 63372 21 17 not not RB 63372 21 18 recognize recognize VB 63372 21 19 that that IN 63372 21 20 , , , 63372 21 21 without without IN 63372 21 22 something something NN 63372 21 23 in in IN 63372 21 24 the the DT 63372 21 25 way way NN 63372 21 26 of of IN 63372 21 27 preparation preparation NN 63372 21 28 , , , 63372 21 29 the the DT 63372 21 30 general general JJ 63372 21 31 reader reader NN 63372 21 32 is be VBZ 63372 21 33 not not RB 63372 21 34 going go VBG 63372 21 35 to to TO 63372 21 36 pursue pursue VB 63372 21 37 Mr. Mr. NNP 63372 21 38 Bolton Bolton NNP 63372 21 39 's 's POS 63372 21 40 essay essay NN 63372 21 41 , , , 63372 21 42 or or CC 63372 21 43 any any DT 63372 21 44 other other JJ 63372 21 45 essay essay NN 63372 21 46 on on IN 63372 21 47 this this DT 63372 21 48 subject subject NN 63372 21 49 , , , 63372 21 50 with with IN 63372 21 51 profit profit NN 63372 21 52 . . . 63372 22 1 It -PRON- PRP 63372 22 2 is be VBZ 63372 22 3 in in IN 63372 22 4 order order NN 63372 22 5 the the DT 63372 22 6 more more RBR 63372 22 7 forcefully forcefully RB 63372 22 8 to to TO 63372 22 9 hold hold VB 63372 22 10 out out RP 63372 22 11 inducements inducement NNS 63372 22 12 to to IN 63372 22 13 him -PRON- PRP 63372 22 14 to to TO 63372 22 15 subject subject VB 63372 22 16 himself -PRON- PRP 63372 22 17 to to IN 63372 22 18 this this DT 63372 22 19 preparation preparation NN 63372 22 20 that that WDT 63372 22 21 we -PRON- PRP 63372 22 22 place place VBP 63372 22 23 at at IN 63372 22 24 the the DT 63372 22 25 head head NN 63372 22 26 of of IN 63372 22 27 the the DT 63372 22 28 book book NN 63372 22 29 the the DT 63372 22 30 chapters chapter NNS 63372 22 31 designed design VBN 63372 22 32 to to TO 63372 22 33 give give VB 63372 22 34 it -PRON- PRP 63372 22 35 to to IN 63372 22 36 him -PRON- PRP 63372 22 37 . . . 63372 23 1 Chapter Chapter NNP 63372 23 2 II II NNP 63372 23 3 . . . 63372 24 1 is be VBZ 63372 24 2 intended intend VBN 63372 24 3 so so RB 63372 24 4 to to TO 63372 24 5 bring bring VB 63372 24 6 the the DT 63372 24 7 mind mind NN 63372 24 8 of of IN 63372 24 9 the the DT 63372 24 10 reader reader NN 63372 24 11 into into IN 63372 24 12 contact contact NN 63372 24 13 with with IN 63372 24 14 certain certain JJ 63372 24 15 philosophical philosophical JJ 63372 24 16 problems problem NNS 63372 24 17 presented present VBN 63372 24 18 to to IN 63372 24 19 us -PRON- PRP 63372 24 20 by by IN 63372 24 21 our -PRON- PRP$ 63372 24 22 experiences experience NNS 63372 24 23 with with IN 63372 24 24 the the DT 63372 24 25 external external JJ 63372 24 26 world world NN 63372 24 27 and and CC 63372 24 28 our -PRON- PRP$ 63372 24 29 efforts effort NNS 63372 24 30 to to TO 63372 24 31 learn learn VB 63372 24 32 the the DT 63372 24 33 facts fact NNS 63372 24 34 about about IN 63372 24 35 it -PRON- PRP 63372 24 36 , , , 63372 24 37 that that IN 63372 24 38 he -PRON- PRP 63372 24 39 may may MD 63372 24 40 approach approach VB 63372 24 41 the the DT 63372 24 42 subject subject NN 63372 24 43 of of IN 63372 24 44 relativity relativity NN 63372 24 45 with with IN 63372 24 46 an an DT 63372 24 47 appreciation appreciation NN 63372 24 48 of of IN 63372 24 49 the the DT 63372 24 50 place place NN 63372 24 51 it -PRON- PRP 63372 24 52 occupies occupy VBZ 63372 24 53 as as IN 63372 24 54 a a DT 63372 24 55 phase phase NN 63372 24 56 of of IN 63372 24 57 human human JJ 63372 24 58 thought thought NN 63372 24 59 and and CC 63372 24 60 a a DT 63372 24 61 pillar pillar NN 63372 24 62 of of IN 63372 24 63 the the DT 63372 24 64 scientific scientific JJ 63372 24 65 structure structure NN 63372 24 66 . . . 63372 25 1 Until until IN 63372 25 2 the the DT 63372 25 3 reader reader NN 63372 25 4 is be VBZ 63372 25 5 aware aware JJ 63372 25 6 of of IN 63372 25 7 the the DT 63372 25 8 existence existence NN 63372 25 9 of of IN 63372 25 10 these these DT 63372 25 11 problems problem NNS 63372 25 12 and and CC 63372 25 13 the the DT 63372 25 14 directions direction NNS 63372 25 15 taken take VBN 63372 25 16 by by IN 63372 25 17 the the DT 63372 25 18 efforts effort NNS 63372 25 19 , , , 63372 25 20 successful successful JJ 63372 25 21 and and CC 63372 25 22 unsuccessful unsuccessful JJ 63372 25 23 , , , 63372 25 24 to to TO 63372 25 25 unravel unravel VB 63372 25 26 them -PRON- PRP 63372 25 27 , , , 63372 25 28 he -PRON- PRP 63372 25 29 is be VBZ 63372 25 30 not not RB 63372 25 31 equipped equip VBN 63372 25 32 to to TO 63372 25 33 comprehend comprehend VB 63372 25 34 the the DT 63372 25 35 doctrine doctrine NN 63372 25 36 of of IN 63372 25 37 relativity relativity NN 63372 25 38 at at RB 63372 25 39 all all RB 63372 25 40 ; ; : 63372 25 41 he -PRON- PRP 63372 25 42 is be VBZ 63372 25 43 in in IN 63372 25 44 much much RB 63372 25 45 the the DT 63372 25 46 same same JJ 63372 25 47 case case NN 63372 25 48 as as IN 63372 25 49 a a DT 63372 25 50 child child NN 63372 25 51 whose whose WP$ 63372 25 52 education education NN 63372 25 53 had have VBD 63372 25 54 reached reach VBN 63372 25 55 only only RB 63372 25 56 the the DT 63372 25 57 primer primer JJ 63372 25 58 stage stage NN 63372 25 59 , , , 63372 25 60 if if IN 63372 25 61 asked ask VBN 63372 25 62 to to TO 63372 25 63 read read VB 63372 25 64 the the DT 63372 25 65 masterpieces masterpiece NNS 63372 25 66 of of IN 63372 25 67 literature literature NN 63372 25 68 . . . 63372 26 1 He -PRON- PRP 63372 26 2 lacks lack VBZ 63372 26 3 not not RB 63372 26 4 alone alone RB 63372 26 5 the the DT 63372 26 6 vocabulary vocabulary NN 63372 26 7 , , , 63372 26 8 but but CC 63372 26 9 equally equally RB 63372 26 10 the the DT 63372 26 11 mental mental JJ 63372 26 12 background background NN 63372 26 13 on on IN 63372 26 14 which which WDT 63372 26 15 the the DT 63372 26 16 vocabulary vocabulary NN 63372 26 17 is be VBZ 63372 26 18 based base VBN 63372 26 19 . . . 63372 27 1 It -PRON- PRP 63372 27 2 will will MD 63372 27 3 be be VB 63372 27 4 noted note VBN 63372 27 5 that that IN 63372 27 6 in in IN 63372 27 7 this this DT 63372 27 8 and and CC 63372 27 9 the the DT 63372 27 10 chapters chapter NNS 63372 27 11 immediately immediately RB 63372 27 12 following follow VBG 63372 27 13 it -PRON- PRP 63372 27 14 , , , 63372 27 15 the the DT 63372 27 16 Editor Editor NNP 63372 27 17 has have VBZ 63372 27 18 supplied supply VBN 63372 27 19 material material NN 63372 27 20 freely freely RB 63372 27 21 . . . 63372 28 1 The the DT 63372 28 2 obvious obvious JJ 63372 28 3 interpretation interpretation NN 63372 28 4 is be VBZ 63372 28 5 that that IN 63372 28 6 satisfactory satisfactory JJ 63372 28 7 material material NN 63372 28 8 covering cover VBG 63372 28 9 the the DT 63372 28 10 desired desire VBN 63372 28 11 ground ground NN 63372 28 12 was be VBD 63372 28 13 not not RB 63372 28 14 found find VBN 63372 28 15 in in IN 63372 28 16 any any DT 63372 28 17 of of IN 63372 28 18 the the DT 63372 28 19 essays essay NNS 63372 28 20 ; ; : 63372 28 21 for for CC 63372 28 22 we -PRON- PRP 63372 28 23 are be VBP 63372 28 24 sure sure JJ 63372 28 25 the the DT 63372 28 26 scope scope NN 63372 28 27 and and CC 63372 28 28 number number NN 63372 28 29 of of IN 63372 28 30 the the DT 63372 28 31 credited credit VBN 63372 28 32 excerpts excerpt NNS 63372 28 33 will will MD 63372 28 34 make make VB 63372 28 35 it -PRON- PRP 63372 28 36 clear clear JJ 63372 28 37 that that IN 63372 28 38 all all DT 63372 28 39 contributions contribution NNS 63372 28 40 were be VBD 63372 28 41 adequately adequately RB 63372 28 42 scrutinized scrutinize VBN 63372 28 43 in in IN 63372 28 44 search search NN 63372 28 45 of of IN 63372 28 46 available available JJ 63372 28 47 passages passage NNS 63372 28 48 . . . 63372 29 1 This this DT 63372 29 2 " " `` 63372 29 3 inadequacy inadequacy NN 63372 29 4 " " '' 63372 29 5 of of IN 63372 29 6 the the DT 63372 29 7 competing compete VBG 63372 29 8 essays essay NNS 63372 29 9 has have VBZ 63372 29 10 been be VBN 63372 29 11 severely severely RB 63372 29 12 commented comment VBN 63372 29 13 upon upon IN 63372 29 14 by by IN 63372 29 15 several several JJ 63372 29 16 correspondents correspondent NNS 63372 29 17 , , , 63372 29 18 and and CC 63372 29 19 the the DT 63372 29 20 inference inference NN 63372 29 21 drawn draw VBD 63372 29 22 that that IN 63372 29 23 as as IN 63372 29 24 a a DT 63372 29 25 whole whole NN 63372 29 26 the the DT 63372 29 27 offerings offering NNS 63372 29 28 were be VBD 63372 29 29 not not RB 63372 29 30 up up IN 63372 29 31 to to IN 63372 29 32 the the DT 63372 29 33 mark mark NN 63372 29 34 . . . 63372 30 1 Such such PDT 63372 30 2 a a DT 63372 30 3 viewpoint viewpoint NN 63372 30 4 is be VBZ 63372 30 5 wholly wholly RB 63372 30 6 unjust unjust JJ 63372 30 7 to to IN 63372 30 8 the the DT 63372 30 9 contestants contestant NNS 63372 30 10 . . . 63372 31 1 The the DT 63372 31 2 essays essay NNS 63372 31 3 which which WDT 63372 31 4 paid pay VBD 63372 31 5 serious serious JJ 63372 31 6 attention attention NN 63372 31 7 to to IN 63372 31 8 the the DT 63372 31 9 business business NN 63372 31 10 of of IN 63372 31 11 paving pave VBG 63372 31 12 the the DT 63372 31 13 way way NN 63372 31 14 to to IN 63372 31 15 relativity relativity NN 63372 31 16 necessarily necessarily RB 63372 31 17 did do VBD 63372 31 18 so so RB 63372 31 19 at at IN 63372 31 20 the the DT 63372 31 21 expense expense NN 63372 31 22 of of IN 63372 31 23 completeness completeness NN 63372 31 24 in in IN 63372 31 25 the the DT 63372 31 26 later later JJ 63372 31 27 paragraphs paragraph NNS 63372 31 28 where where WRB 63372 31 29 specific specific JJ 63372 31 30 explanation explanation NN 63372 31 31 of of IN 63372 31 32 the the DT 63372 31 33 Einstein Einstein NNP 63372 31 34 theories theory NNS 63372 31 35 was be VBD 63372 31 36 in in IN 63372 31 37 order order NN 63372 31 38 . . . 63372 32 1 Mr. Mr. NNP 63372 32 2 Law Law NNP 63372 32 3 , , , 63372 32 4 whose whose WP$ 63372 32 5 essay essay NN 63372 32 6 was be VBD 63372 32 7 by by IN 63372 32 8 all all DT 63372 32 9 means mean NNS 63372 32 10 the the DT 63372 32 11 best good JJS 63372 32 12 of of IN 63372 32 13 those those DT 63372 32 14 that that WDT 63372 32 15 gave give VBD 63372 32 16 much much JJ 63372 32 17 space space NN 63372 32 18 to to IN 63372 32 19 introductory introductory JJ 63372 32 20 remarks remark NNS 63372 32 21 , , , 63372 32 22 found find VBD 63372 32 23 himself -PRON- PRP 63372 32 24 left leave VBN 63372 32 25 with with IN 63372 32 26 only only RB 63372 32 27 600 600 CD 63372 32 28 words word NNS 63372 32 29 in in IN 63372 32 30 which which WDT 63372 32 31 to to TO 63372 32 32 tell tell VB 63372 32 33 what what WP 63372 32 34 it -PRON- PRP 63372 32 35 was be VBD 63372 32 36 that that IN 63372 32 37 he -PRON- PRP 63372 32 38 had have VBD 63372 32 39 been be VBN 63372 32 40 introducing introduce VBG 63372 32 41 . . . 63372 33 1 The the DT 63372 33 2 majority majority NN 63372 33 3 of of IN 63372 33 4 the the DT 63372 33 5 contestants contestant NNS 63372 33 6 appear appear VBP 63372 33 7 to to TO 63372 33 8 have have VB 63372 33 9 faced face VBN 63372 33 10 the the DT 63372 33 11 same same JJ 63372 33 12 question question NN 63372 33 13 as as IN 63372 33 14 to to IN 63372 33 15 subject subject JJ 63372 33 16 matter matter NN 63372 33 17 which which WDT 63372 33 18 the the DT 63372 33 19 Judges Judges NNPS 63372 33 20 faced face VBD 63372 33 21 , , , 63372 33 22 and and CC 63372 33 23 to to TO 63372 33 24 have have VB 63372 33 25 reached reach VBN 63372 33 26 the the DT 63372 33 27 same same JJ 63372 33 28 decision decision NN 63372 33 29 . . . 63372 34 1 They -PRON- PRP 63372 34 2 accordingly accordingly RB 63372 34 3 devoted devote VBD 63372 34 4 their -PRON- PRP$ 63372 34 5 attention attention NN 63372 34 6 toward toward IN 63372 34 7 the the DT 63372 34 8 prize prize NN 63372 34 9 , , , 63372 34 10 rather rather RB 63372 34 11 than than IN 63372 34 12 toward toward IN 63372 34 13 the the DT 63372 34 14 production production NN 63372 34 15 of of IN 63372 34 16 an an DT 63372 34 17 essay essay NN 63372 34 18 that that WDT 63372 34 19 would would MD 63372 34 20 best best RB 63372 34 21 supplement supplement VB 63372 34 22 that that DT 63372 34 23 of of IN 63372 34 24 the the DT 63372 34 25 winner winner NN 63372 34 26 . . . 63372 35 1 It -PRON- PRP 63372 35 2 is be VBZ 63372 35 3 for for IN 63372 35 4 this this DT 63372 35 5 very very JJ 63372 35 6 reason reason NN 63372 35 7 that that IN 63372 35 8 , , , 63372 35 9 in in IN 63372 35 10 these these DT 63372 35 11 preliminary preliminary JJ 63372 35 12 chapters chapter NNS 63372 35 13 , , , 63372 35 14 so so RB 63372 35 15 large large JJ 63372 35 16 a a DT 63372 35 17 proportion proportion NN 63372 35 18 of of IN 63372 35 19 the the DT 63372 35 20 material material NN 63372 35 21 has have VBZ 63372 35 22 had have VBN 63372 35 23 to to TO 63372 35 24 be be VB 63372 35 25 supplied supply VBN 63372 35 26 by by IN 63372 35 27 the the DT 63372 35 28 Editor Editor NNP 63372 35 29 ; ; : 63372 35 30 and and CC 63372 35 31 this this DT 63372 35 32 very very JJ 63372 35 33 circumstance circumstance NN 63372 35 34 is be VBZ 63372 35 35 a a DT 63372 35 36 tribute tribute NN 63372 35 37 to to IN 63372 35 38 the the DT 63372 35 39 good good JJ 63372 35 40 judgment judgment NN 63372 35 41 of of IN 63372 35 42 the the DT 63372 35 43 competitors competitor NNS 63372 35 44 , , , 63372 35 45 rather rather RB 63372 35 46 than than IN 63372 35 47 ground ground NN 63372 35 48 for for IN 63372 35 49 criticism criticism NN 63372 35 50 of of IN 63372 35 51 their -PRON- PRP$ 63372 35 52 work work NN 63372 35 53 . . . 63372 36 1 The the DT 63372 36 2 general general JJ 63372 36 3 introduction introduction NN 63372 36 4 of of IN 63372 36 5 Chapter Chapter NNP 63372 36 6 II II NNP 63372 36 7 . . . 63372 37 1 out out IN 63372 37 2 of of IN 63372 37 3 the the DT 63372 37 4 way way NN 63372 37 5 , , , 63372 37 6 Chapters Chapters NNP 63372 37 7 III III NNP 63372 37 8 . . . 63372 38 1 and and CC 63372 38 2 IV IV NNP 63372 38 3 . . . 63372 39 1 take take VB 63372 39 2 up up RP 63372 39 3 the the DT 63372 39 4 business business NN 63372 39 5 of of IN 63372 39 6 leading lead VBG 63372 39 7 the the DT 63372 39 8 reader reader NN 63372 39 9 into into IN 63372 39 10 the the DT 63372 39 11 actual actual JJ 63372 39 12 subject subject NN 63372 39 13 of of IN 63372 39 14 relativity relativity NN 63372 39 15 . . . 63372 40 1 The the DT 63372 40 2 subject subject NN 63372 40 3 is be VBZ 63372 40 4 here here RB 63372 40 5 developed develop VBN 63372 40 6 in in IN 63372 40 7 what what WP 63372 40 8 may may MD 63372 40 9 be be VB 63372 40 10 called call VBN 63372 40 11 the the DT 63372 40 12 historical historical JJ 63372 40 13 order order NN 63372 40 14 -- -- : 63372 40 15 the the DT 63372 40 16 order order NN 63372 40 17 in in IN 63372 40 18 which which WDT 63372 40 19 it -PRON- PRP 63372 40 20 took take VBD 63372 40 21 form form NN 63372 40 22 in in IN 63372 40 23 Einstein Einstein NNP 63372 40 24 's 's POS 63372 40 25 own own JJ 63372 40 26 mind mind NN 63372 40 27 . . . 63372 41 1 Both both DT 63372 41 2 in in IN 63372 41 3 and and CC 63372 41 4 outside outside IN 63372 41 5 the the DT 63372 41 6 contest contest NN 63372 41 7 of of IN 63372 41 8 which which WDT 63372 41 9 this this DT 63372 41 10 book book NN 63372 41 11 is be VBZ 63372 41 12 the the DT 63372 41 13 outcome outcome NN 63372 41 14 , , , 63372 41 15 a a DT 63372 41 16 majority majority NN 63372 41 17 of of IN 63372 41 18 those those DT 63372 41 19 who who WP 63372 41 20 have have VBP 63372 41 21 written write VBN 63372 41 22 on on IN 63372 41 23 relativity relativity NN 63372 41 24 have have VBP 63372 41 25 followed follow VBN 63372 41 26 this this DT 63372 41 27 order order NN 63372 41 28 , , , 63372 41 29 which which WDT 63372 41 30 is be VBZ 63372 41 31 indeed indeed RB 63372 41 32 a a DT 63372 41 33 very very RB 63372 41 34 natural natural JJ 63372 41 35 one one CD 63372 41 36 and and CC 63372 41 37 one one CD 63372 41 38 well well RB 63372 41 39 calculated calculate VBN 63372 41 40 to to TO 63372 41 41 give give VB 63372 41 42 to to IN 63372 41 43 the the DT 63372 41 44 rather rather RB 63372 41 45 surprising surprising JJ 63372 41 46 assumptions assumption NNS 63372 41 47 of of IN 63372 41 48 relativity relativity NN 63372 41 49 a a DT 63372 41 50 reasonableness reasonableness NN 63372 41 51 which which WDT 63372 41 52 they -PRON- PRP 63372 41 53 might may MD 63372 41 54 well well RB 63372 41 55 appear appear VB 63372 41 56 to to IN 63372 41 57 the the DT 63372 41 58 lay lay JJ 63372 41 59 mind mind NN 63372 41 60 to to TO 63372 41 61 lack lack NN 63372 41 62 if if IN 63372 41 63 laid lay VBN 63372 41 64 down down RP 63372 41 65 more more RBR 63372 41 66 arbitrarily arbitrarily RB 63372 41 67 . . . 63372 42 1 In in IN 63372 42 2 these these DT 63372 42 3 two two CD 63372 42 4 chapters chapter NNS 63372 42 5 no no DT 63372 42 6 effort effort NN 63372 42 7 is be VBZ 63372 42 8 made make VBN 63372 42 9 to to TO 63372 42 10 carry carry VB 63372 42 11 the the DT 63372 42 12 argument argument NN 63372 42 13 beyond beyond IN 63372 42 14 the the DT 63372 42 15 formulation formulation NN 63372 42 16 of of IN 63372 42 17 the the DT 63372 42 18 Special Special NNP 63372 42 19 Principle Principle NNP 63372 42 20 of of IN 63372 42 21 the the DT 63372 42 22 relativity relativity NN 63372 42 23 of of IN 63372 42 24 uniform uniform JJ 63372 42 25 motion motion NN 63372 42 26 , , , 63372 42 27 but but CC 63372 42 28 this this DT 63372 42 29 principle principle NN 63372 42 30 is be VBZ 63372 42 31 developed develop VBN 63372 42 32 in in IN 63372 42 33 considerably considerably RB 63372 42 34 more more JJR 63372 42 35 detail detail NN 63372 42 36 than than IN 63372 42 37 would would MD 63372 42 38 be be VB 63372 42 39 the the DT 63372 42 40 case case NN 63372 42 41 if if IN 63372 42 42 it -PRON- PRP 63372 42 43 were be VBD 63372 42 44 left leave VBN 63372 42 45 entirely entirely RB 63372 42 46 to to IN 63372 42 47 the the DT 63372 42 48 competing compete VBG 63372 42 49 essayists essayist NNS 63372 42 50 . . . 63372 43 1 The the DT 63372 43 2 reason reason NN 63372 43 3 for for IN 63372 43 4 this this DT 63372 43 5 is be VBZ 63372 43 6 again again RB 63372 43 7 that that IN 63372 43 8 we -PRON- PRP 63372 43 9 are be VBP 63372 43 10 dealing deal VBG 63372 43 11 with with IN 63372 43 12 a a DT 63372 43 13 phase phase NN 63372 43 14 of of IN 63372 43 15 the the DT 63372 43 16 subject subject NN 63372 43 17 which which WDT 63372 43 18 is be VBZ 63372 43 19 of of IN 63372 43 20 subordinate subordinate JJ 63372 43 21 importance importance NN 63372 43 22 so so RB 63372 43 23 far far RB 63372 43 24 as as IN 63372 43 25 a a DT 63372 43 26 complete complete JJ 63372 43 27 statement statement NN 63372 43 28 of of IN 63372 43 29 the the DT 63372 43 30 General General NNP 63372 43 31 Theory Theory NNP 63372 43 32 of of IN 63372 43 33 Relativity Relativity NNP 63372 43 34 is be VBZ 63372 43 35 concerned concern VBN 63372 43 36 , , , 63372 43 37 but but CC 63372 43 38 which which WDT 63372 43 39 is be VBZ 63372 43 40 of of IN 63372 43 41 the the DT 63372 43 42 greatest great JJS 63372 43 43 significance significance NN 63372 43 44 in in IN 63372 43 45 connection connection NN 63372 43 46 with with IN 63372 43 47 the the DT 63372 43 48 effort effort NN 63372 43 49 of of IN 63372 43 50 the the DT 63372 43 51 layman layman NN 63372 43 52 to to TO 63372 43 53 acquire acquire VB 63372 43 54 the the DT 63372 43 55 proper proper JJ 63372 43 56 preliminary preliminary JJ 63372 43 57 orientation orientation NN 63372 43 58 toward toward IN 63372 43 59 the the DT 63372 43 60 larger large JJR 63372 43 61 subject subject NN 63372 43 62 . . . 63372 44 1 Chapter Chapter NNP 63372 44 2 V. V. NNP 63372 44 3 goes go VBZ 63372 44 4 back back RB 63372 44 5 again again RB 63372 44 6 to to IN 63372 44 7 general general JJ 63372 44 8 ground ground NN 63372 44 9 . . . 63372 45 1 Among among IN 63372 45 2 the the DT 63372 45 3 ideas idea NNS 63372 45 4 which which WDT 63372 45 5 the the DT 63372 45 6 competing compete VBG 63372 45 7 essayists essayist NNS 63372 45 8 were be VBD 63372 45 9 forced force VBN 63372 45 10 to to TO 63372 45 11 introduce introduce VB 63372 45 12 into into IN 63372 45 13 their -PRON- PRP$ 63372 45 14 text text NN 63372 45 15 on on IN 63372 45 16 a a DT 63372 45 17 liberal liberal JJ 63372 45 18 scale scale NN 63372 45 19 is be VBZ 63372 45 20 that that DT 63372 45 21 of of IN 63372 45 22 non non JJ 63372 45 23 - - JJ 63372 45 24 Euclidean euclidean JJ 63372 45 25 geometry geometry NN 63372 45 26 . . . 63372 46 1 The the DT 63372 46 2 entire entire JJ 63372 46 3 formulation formulation NN 63372 46 4 of of IN 63372 46 5 the the DT 63372 46 6 General General NNP 63372 46 7 Theory Theory NNP 63372 46 8 of of IN 63372 46 9 Relativity Relativity NNP 63372 46 10 is be VBZ 63372 46 11 in in IN 63372 46 12 fact fact NN 63372 46 13 an an DT 63372 46 14 exercise exercise NN 63372 46 15 in in IN 63372 46 16 this this DT 63372 46 17 . . . 63372 47 1 The the DT 63372 47 2 essayists essayist NNS 63372 47 3 -- -- : 63372 47 4 good good JJ 63372 47 5 , , , 63372 47 6 bad bad JJ 63372 47 7 and and CC 63372 47 8 indifferent indifferent JJ 63372 47 9 alike alike RB 63372 47 10 -- -- : 63372 47 11 were be VBD 63372 47 12 quite quite RB 63372 47 13 unanimous unanimous JJ 63372 47 14 in in IN 63372 47 15 their -PRON- PRP$ 63372 47 16 decision decision NN 63372 47 17 that that IN 63372 47 18 this this DT 63372 47 19 was be VBD 63372 47 20 one one CD 63372 47 21 thing thing NN 63372 47 22 which which WDT 63372 47 23 the the DT 63372 47 24 reader reader NN 63372 47 25 would would MD 63372 47 26 have have VB 63372 47 27 to to TO 63372 47 28 assume assume VB 63372 47 29 the the DT 63372 47 30 responsibility responsibility NN 63372 47 31 of of IN 63372 47 32 acquiring acquire VBG 63372 47 33 for for IN 63372 47 34 himself -PRON- PRP 63372 47 35 . . . 63372 48 1 Certainly certainly RB 63372 48 2 they -PRON- PRP 63372 48 3 were be VBD 63372 48 4 justified justify VBN 63372 48 5 in in IN 63372 48 6 this this DT 63372 48 7 ; ; : 63372 48 8 for for IN 63372 48 9 the the DT 63372 48 10 Editor Editor NNP 63372 48 11 has have VBZ 63372 48 12 been be VBN 63372 48 13 able able JJ 63372 48 14 to to TO 63372 48 15 explain explain VB 63372 48 16 what what WP 63372 48 17 non non JJ 63372 48 18 - - JJ 63372 48 19 Euclidean euclidean JJ 63372 48 20 geometry geometry NN 63372 48 21 is be VBZ 63372 48 22 only only RB 63372 48 23 by by IN 63372 48 24 using use VBG 63372 48 25 up up RP 63372 48 26 considerably considerably RB 63372 48 27 more more JJR 63372 48 28 space space NN 63372 48 29 than than IN 63372 48 30 the the DT 63372 48 31 contestants contestant NNS 63372 48 32 had have VBD 63372 48 33 for for IN 63372 48 34 an an DT 63372 48 35 entire entire JJ 63372 48 36 essay essay NN 63372 48 37 . . . 63372 49 1 No no DT 63372 49 2 effort effort NN 63372 49 3 has have VBZ 63372 49 4 been be VBN 63372 49 5 made make VBN 63372 49 6 to to TO 63372 49 7 set set VB 63372 49 8 forth forth RP 63372 49 9 any any DT 63372 49 10 of of IN 63372 49 11 the the DT 63372 49 12 details detail NNS 63372 49 13 of of IN 63372 49 14 any any DT 63372 49 15 of of IN 63372 49 16 the the DT 63372 49 17 various various JJ 63372 49 18 non non JJ 63372 49 19 - - JJ 63372 49 20 Euclidean euclidean JJ 63372 49 21 geometries geometry NNS 63372 49 22 ; ; : 63372 49 23 it -PRON- PRP 63372 49 24 has have VBZ 63372 49 25 simply simply RB 63372 49 26 been be VBN 63372 49 27 the the DT 63372 49 28 aim aim NN 63372 49 29 to to TO 63372 49 30 draw draw VB 63372 49 31 the the DT 63372 49 32 dividing divide VBG 63372 49 33 line line NN 63372 49 34 between between IN 63372 49 35 Euclidean Euclidean NNP 63372 49 36 and and CC 63372 49 37 non non JJ 63372 49 38 - - JJ 63372 49 39 Euclidean euclidean JJ 63372 49 40 , , , 63372 49 41 and and CC 63372 49 42 to to TO 63372 49 43 make make VB 63372 49 44 the the DT 63372 49 45 existence existence NN 63372 49 46 of of IN 63372 49 47 the the DT 63372 49 48 latter latter JJ 63372 49 49 appear appear VBP 63372 49 50 reasonable reasonable JJ 63372 49 51 , , , 63372 49 52 so so IN 63372 49 53 that that IN 63372 49 54 when when WRB 63372 49 55 the the DT 63372 49 56 essayists essayist NNS 63372 49 57 come come VBP 63372 49 58 to to TO 63372 49 59 talk talk VB 63372 49 60 about about IN 63372 49 61 it -PRON- PRP 63372 49 62 the the DT 63372 49 63 reader reader NN 63372 49 64 will will MD 63372 49 65 not not RB 63372 49 66 feel feel VB 63372 49 67 hopelessly hopelessly RB 63372 49 68 at at IN 63372 49 69 sea sea NN 63372 49 70 . . . 63372 50 1 In in IN 63372 50 2 other other JJ 63372 50 3 words word NNS 63372 50 4 , , , 63372 50 5 this this DT 63372 50 6 is be VBZ 63372 50 7 another another DT 63372 50 8 case case NN 63372 50 9 of of IN 63372 50 10 providing provide VBG 63372 50 11 the the DT 63372 50 12 mental mental JJ 63372 50 13 background background NN 63372 50 14 , , , 63372 50 15 but but CC 63372 50 16 on on IN 63372 50 17 such such PDT 63372 50 18 a a DT 63372 50 19 scale scale NN 63372 50 20 that that WDT 63372 50 21 it -PRON- PRP 63372 50 22 has have VBZ 63372 50 23 seemed seem VBN 63372 50 24 necessary necessary JJ 63372 50 25 to to TO 63372 50 26 give give VB 63372 50 27 a a DT 63372 50 28 separate separate JJ 63372 50 29 chapter chapter NN 63372 50 30 to to IN 63372 50 31 it -PRON- PRP 63372 50 32 . . . 63372 51 1 Chapter chapter NN 63372 51 2 VI VI NNP 63372 51 3 . . . 63372 52 1 completes complete VBZ 63372 52 2 the the DT 63372 52 3 preliminary preliminary JJ 63372 52 4 course course NN 63372 52 5 in in IN 63372 52 6 the the DT 63372 52 7 fundamentals fundamental NNS 63372 52 8 of of IN 63372 52 9 relativity relativity NN 63372 52 10 by by IN 63372 52 11 tying tie VBG 63372 52 12 up up RP 63372 52 13 together together RB 63372 52 14 the the DT 63372 52 15 findings finding NNS 63372 52 16 of of IN 63372 52 17 Chapter Chapter NNP 63372 52 18 V. V. NNP 63372 52 19 and and CC 63372 52 20 those those DT 63372 52 21 of of IN 63372 52 22 Chapters Chapters NNPS 63372 52 23 III III NNP 63372 52 24 . . . 63372 53 1 and and CC 63372 53 2 IV IV NNP 63372 53 3 . . . 63372 54 1 It -PRON- PRP 63372 54 2 represents represent VBZ 63372 54 3 more more RBR 63372 54 4 or or CC 63372 54 5 less less JJR 63372 54 6 of of IN 63372 54 7 a a DT 63372 54 8 last last JJ 63372 54 9 - - HYPH 63372 54 10 minute minute NN 63372 54 11 change change NN 63372 54 12 of of IN 63372 54 13 plan plan NN 63372 54 14 ; ; : 63372 54 15 for for CC 63372 54 16 while while IN 63372 54 17 it -PRON- PRP 63372 54 18 had have VBD 63372 54 19 been be VBN 63372 54 20 the the DT 63372 54 21 Editor Editor NNP 63372 54 22 's 's POS 63372 54 23 intent intent NN 63372 54 24 from from IN 63372 54 25 the the DT 63372 54 26 beginning beginning NN 63372 54 27 to to TO 63372 54 28 place place VB 63372 54 29 the the DT 63372 54 30 material material NN 63372 54 31 of of IN 63372 54 32 Chapters Chapters NNPS 63372 54 33 II.-V. ii.-v. IN 63372 54 34 in in IN 63372 54 35 its -PRON- PRP$ 63372 54 36 present present JJ 63372 54 37 position position NN 63372 54 38 , , , 63372 54 39 his -PRON- PRP$ 63372 54 40 preliminary preliminary JJ 63372 54 41 impression impression NN 63372 54 42 would would MD 63372 54 43 have have VB 63372 54 44 been be VBN 63372 54 45 that that IN 63372 54 46 the the DT 63372 54 47 work work NN 63372 54 48 of of IN 63372 54 49 the the DT 63372 54 50 present present JJ 63372 54 51 Chapter Chapter NNP 63372 54 52 VI VI NNP 63372 54 53 . . . 63372 55 1 would would MD 63372 55 2 be be VB 63372 55 3 adequately adequately RB 63372 55 4 done do VBN 63372 55 5 by by IN 63372 55 6 the the DT 63372 55 7 essayists essayist NNS 63372 55 8 themselves -PRON- PRP 63372 55 9 . . . 63372 56 1 His -PRON- PRP$ 63372 56 2 reading reading NN 63372 56 3 of of IN 63372 56 4 the the DT 63372 56 5 essays essay NNS 63372 56 6 , , , 63372 56 7 however however RB 63372 56 8 , , , 63372 56 9 convinced convince VBD 63372 56 10 him -PRON- PRP 63372 56 11 that that IN 63372 56 12 it -PRON- PRP 63372 56 13 had have VBD 63372 56 14 not not RB 63372 56 15 so so RB 63372 56 16 been be VBN 63372 56 17 done do VBN 63372 56 18 -- -- : 63372 56 19 that that IN 63372 56 20 with with IN 63372 56 21 the the DT 63372 56 22 possible possible JJ 63372 56 23 exception exception NN 63372 56 24 of of IN 63372 56 25 Mr. Mr. NNP 63372 56 26 Francis Francis NNP 63372 56 27 , , , 63372 56 28 the the DT 63372 56 29 essayists essayist NNS 63372 56 30 did do VBD 63372 56 31 not not RB 63372 56 32 make make VB 63372 56 33 either either CC 63372 56 34 a a DT 63372 56 35 serious serious JJ 63372 56 36 or or CC 63372 56 37 a a DT 63372 56 38 successful successful JJ 63372 56 39 effort effort NN 63372 56 40 to to TO 63372 56 41 show show VB 63372 56 42 the the DT 63372 56 43 organic organic JJ 63372 56 44 connection connection NN 63372 56 45 between between IN 63372 56 46 the the DT 63372 56 47 Special Special NNP 63372 56 48 Theory Theory NNP 63372 56 49 of of IN 63372 56 50 Relativity Relativity NNP 63372 56 51 and and CC 63372 56 52 the the DT 63372 56 53 Minkowski Minkowski NNP 63372 56 54 space space NN 63372 56 55 - - HYPH 63372 56 56 time time NN 63372 56 57 structure structure NN 63372 56 58 , , , 63372 56 59 or or CC 63372 56 60 the the DT 63372 56 61 utter utter JJ 63372 56 62 futility futility NN 63372 56 63 of of IN 63372 56 64 trying try VBG 63372 56 65 to to TO 63372 56 66 reconcile reconcile VB 63372 56 67 ourselves -PRON- PRP 63372 56 68 to to IN 63372 56 69 the the DT 63372 56 70 results result NNS 63372 56 71 of of IN 63372 56 72 the the DT 63372 56 73 former former JJ 63372 56 74 without without IN 63372 56 75 employing employ VBG 63372 56 76 the the DT 63372 56 77 ideas idea NNS 63372 56 78 of of IN 63372 56 79 the the DT 63372 56 80 latter latter JJ 63372 56 81 . . . 63372 57 1 So so CC 63372 57 2 Chapter Chapter NNP 63372 57 3 VI VI NNP 63372 57 4 . . . 63372 58 1 was be VBD 63372 58 2 supplied supply VBN 63372 58 3 to to TO 63372 58 4 make make VB 63372 58 5 good good JJ 63372 58 6 this this DT 63372 58 7 deficiency deficiency NN 63372 58 8 , , , 63372 58 9 and and CC 63372 58 10 to to TO 63372 58 11 complete complete VB 63372 58 12 the the DT 63372 58 13 mental mental JJ 63372 58 14 equipment equipment NN 63372 58 15 which which WDT 63372 58 16 the the DT 63372 58 17 reader reader NN 63372 58 18 requires require VBZ 63372 58 19 for for IN 63372 58 20 his -PRON- PRP$ 63372 58 21 battle battle NN 63372 58 22 with with IN 63372 58 23 the the DT 63372 58 24 General General NNP 63372 58 25 Theory Theory NNP 63372 58 26 . . . 63372 59 1 In in IN 63372 59 2 laying lay VBG 63372 59 3 down down RP 63372 59 4 a a DT 63372 59 5 set set NN 63372 59 6 of of IN 63372 59 7 general general JJ 63372 59 8 principles principle NNS 63372 59 9 to to TO 63372 59 10 govern govern VB 63372 59 11 the the DT 63372 59 12 award award NN 63372 59 13 of of IN 63372 59 14 the the DT 63372 59 15 prize prize NN 63372 59 16 , , , 63372 59 17 one one CD 63372 59 18 of of IN 63372 59 19 the the DT 63372 59 20 first first JJ 63372 59 21 things thing NNS 63372 59 22 considered consider VBN 63372 59 23 by by IN 63372 59 24 the the DT 63372 59 25 Judges Judges NNPS 63372 59 26 was be VBD 63372 59 27 the the DT 63372 59 28 relative relative JJ 63372 59 29 importance importance NN 63372 59 30 of of IN 63372 59 31 the the DT 63372 59 32 Special Special NNP 63372 59 33 and and CC 63372 59 34 the the DT 63372 59 35 General General NNP 63372 59 36 Theories Theories NNPS 63372 59 37 . . . 63372 60 1 It -PRON- PRP 63372 60 2 was be VBD 63372 60 3 their -PRON- PRP$ 63372 60 4 opinion opinion NN 63372 60 5 that that IN 63372 60 6 no no DT 63372 60 7 essay essay NN 63372 60 8 could could MD 63372 60 9 possibly possibly RB 63372 60 10 qualify qualify VB 63372 60 11 for for IN 63372 60 12 the the DT 63372 60 13 prize prize NN 63372 60 14 which which WDT 63372 60 15 did do VBD 63372 60 16 not not RB 63372 60 17 very very RB 63372 60 18 distinctly distinctly RB 63372 60 19 give give VB 63372 60 20 to to IN 63372 60 21 the the DT 63372 60 22 General General NNP 63372 60 23 Theory Theory NNP 63372 60 24 the the DT 63372 60 25 center center NN 63372 60 26 of of IN 63372 60 27 the the DT 63372 60 28 stage stage NN 63372 60 29 ; ; , 63372 60 30 and and CC 63372 60 31 that that IN 63372 60 32 in in IN 63372 60 33 fact fact NN 63372 60 34 discussion discussion NN 63372 60 35 of of IN 63372 60 36 the the DT 63372 60 37 Special Special NNP 63372 60 38 Theory Theory NNP 63372 60 39 was be VBD 63372 60 40 pertinent pertinent JJ 63372 60 41 only only RB 63372 60 42 so so RB 63372 60 43 long long RB 63372 60 44 as as IN 63372 60 45 it -PRON- PRP 63372 60 46 contributed contribute VBD 63372 60 47 , , , 63372 60 48 in in IN 63372 60 49 proportion proportion NN 63372 60 50 to to IN 63372 60 51 the the DT 63372 60 52 space space NN 63372 60 53 assigned assign VBN 63372 60 54 it -PRON- PRP 63372 60 55 , , , 63372 60 56 to to IN 63372 60 57 the the DT 63372 60 58 attack attack NN 63372 60 59 upon upon IN 63372 60 60 the the DT 63372 60 61 main main JJ 63372 60 62 subject subject NN 63372 60 63 . . . 63372 61 1 The the DT 63372 61 2 same same JJ 63372 61 3 principle principle NN 63372 61 4 has have VBZ 63372 61 5 been be VBN 63372 61 6 employed employ VBN 63372 61 7 in in IN 63372 61 8 selecting select VBG 63372 61 9 essays essay NNS 63372 61 10 for for IN 63372 61 11 complete complete JJ 63372 61 12 or or CC 63372 61 13 substantially substantially RB 63372 61 14 complete complete JJ 63372 61 15 reproduction reproduction NN 63372 61 16 in in IN 63372 61 17 this this DT 63372 61 18 volume volume NN 63372 61 19 . . . 63372 62 1 Writers writer NNS 63372 62 2 who who WP 63372 62 3 dealt deal VBD 63372 62 4 with with IN 63372 62 5 the the DT 63372 62 6 Special Special NNP 63372 62 7 Theory Theory NNP 63372 62 8 in in IN 63372 62 9 any any DT 63372 62 10 other other JJ 63372 62 11 sense sense NN 63372 62 12 than than IN 63372 62 13 as as IN 63372 62 14 a a DT 63372 62 15 preliminary preliminary JJ 63372 62 16 step step NN 63372 62 17 toward toward IN 63372 62 18 the the DT 63372 62 19 General General NNP 63372 62 20 Theory Theory NNP 63372 62 21 have have VBP 63372 62 22 been be VBN 63372 62 23 relegated relegate VBN 63372 62 24 to to IN 63372 62 25 the the DT 63372 62 26 introductory introductory JJ 63372 62 27 chapters chapter NNS 63372 62 28 , , , 63372 62 29 where where WRB 63372 62 30 such such JJ 63372 62 31 excerpts excerpt NNS 63372 62 32 from from IN 63372 62 33 their -PRON- PRP$ 63372 62 34 work work NN 63372 62 35 have have VBP 63372 62 36 been be VBN 63372 62 37 used use VBN 63372 62 38 as as IN 63372 62 39 were be VBD 63372 62 40 found find VBN 63372 62 41 usable usable JJ 63372 62 42 . . . 63372 63 1 The the DT 63372 63 2 distinction distinction NN 63372 63 3 of of IN 63372 63 4 publication publication NN 63372 63 5 under under IN 63372 63 6 name name NN 63372 63 7 and and CC 63372 63 8 title title NN 63372 63 9 is be VBZ 63372 63 10 reserved reserve VBN 63372 63 11 for for IN 63372 63 12 those those DT 63372 63 13 who who WP 63372 63 14 wrote write VBD 63372 63 15 consistently consistently RB 63372 63 16 and and CC 63372 63 17 specifically specifically RB 63372 63 18 upon upon IN 63372 63 19 the the DT 63372 63 20 larger large JJR 63372 63 21 subject subject NN 63372 63 22 -- -- : 63372 63 23 with with IN 63372 63 24 the the DT 63372 63 25 one one CD 63372 63 26 exception exception NN 63372 63 27 of of IN 63372 63 28 Dr. Dr. NNP 63372 63 29 Russell Russell NNP 63372 63 30 , , , 63372 63 31 whose whose WP$ 63372 63 32 exposition exposition NN 63372 63 33 of of IN 63372 63 34 the the DT 63372 63 35 Special Special NNP 63372 63 36 Theory Theory NNP 63372 63 37 is be VBZ 63372 63 38 so so RB 63372 63 39 far far RB 63372 63 40 the the DT 63372 63 41 best good JJS 63372 63 42 of of IN 63372 63 43 those those DT 63372 63 44 submitted submit VBN 63372 63 45 and and CC 63372 63 46 at at IN 63372 63 47 the the DT 63372 63 48 same same JJ 63372 63 49 time time NN 63372 63 50 so so RB 63372 63 51 distinctive distinctive JJ 63372 63 52 that that IN 63372 63 53 we -PRON- PRP 63372 63 54 have have VBP 63372 63 55 concluded conclude VBN 63372 63 56 it -PRON- PRP 63372 63 57 will will MD 63372 63 58 appear appear VB 63372 63 59 to to TO 63372 63 60 better well JJR 63372 63 61 advantage advantage NN 63372 63 62 by by IN 63372 63 63 itself -PRON- PRP 63372 63 64 than than IN 63372 63 65 as as IN 63372 63 66 a a DT 63372 63 67 part part NN 63372 63 68 of of IN 63372 63 69 Chapters Chapters NNPS 63372 63 70 III III NNP 63372 63 71 . . . 63372 64 1 and and CC 63372 64 2 IV IV NNP 63372 64 3 . . . 63372 65 1 Following follow VBG 63372 65 2 after after IN 63372 65 3 Mr. Mr. NNP 63372 65 4 Bolton Bolton NNP 63372 65 5 's 's POS 63372 65 6 essay essay NN 63372 65 7 we -PRON- PRP 63372 65 8 have have VBP 63372 65 9 tried try VBN 63372 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of IN 63372 66 8 reading read VBG 63372 66 9 by by IN 63372 66 10 the the DT 63372 66 11 examination examination NN 63372 66 12 of of IN 63372 66 13 those those DT 63372 66 14 preceding precede VBG 63372 66 15 it -PRON- PRP 63372 66 16 ; ; : 63372 66 17 at at IN 63372 66 18 the the DT 63372 66 19 same same JJ 63372 66 20 time time NN 63372 66 21 each each DT 63372 66 22 , , , 63372 66 23 by by IN 63372 66 24 the the DT 63372 66 25 choice choice NN 63372 66 26 of of IN 63372 66 27 ground ground NN 63372 66 28 covered cover VBN 63372 66 29 and and CC 63372 66 30 by by IN 63372 66 31 the the DT 63372 66 32 emphasis emphasis NN 63372 66 33 on on IN 63372 66 34 points point NNS 63372 66 35 not not RB 63372 66 36 brought bring VBN 63372 66 37 out out RP 63372 66 38 sharply sharply RB 63372 66 39 by by IN 63372 66 40 its -PRON- PRP$ 63372 66 41 predecessors predecessor NNS 63372 66 42 , , , 63372 66 43 should should MD 63372 66 44 throw throw VB 63372 66 45 new new JJ 63372 66 46 light light NN 63372 66 47 upon upon IN 63372 66 48 these these DT 63372 66 49 predecessors predecessor NNS 63372 66 50 . . . 63372 67 1 The the DT 63372 67 2 reader reader NN 63372 67 3 will will MD 63372 67 4 find find VB 63372 67 5 that that IN 63372 67 6 no no DT 63372 67 7 two two CD 63372 67 8 of of IN 63372 67 9 the the DT 63372 67 10 essays essay NNS 63372 67 11 given give VBN 63372 67 12 thus thus RB 63372 67 13 in in IN 63372 67 14 full full JJ 63372 67 15 duplicate duplicate NN 63372 67 16 or or CC 63372 67 17 even even RB 63372 67 18 come come VB 63372 67 19 close close RB 63372 67 20 to to IN 63372 67 21 duplicating duplicate VBG 63372 67 22 one one CD 63372 67 23 another another DT 63372 67 24 . . . 63372 68 1 They -PRON- PRP 63372 68 2 have have VBP 63372 68 3 of of IN 63372 68 4 course course NN 63372 68 5 been be VBN 63372 68 6 selected select VBN 63372 68 7 with with IN 63372 68 8 this this DT 63372 68 9 in in IN 63372 68 10 view view NN 63372 68 11 ; ; : 63372 68 12 each each DT 63372 68 13 represents represent VBZ 63372 68 14 the the DT 63372 68 15 best good JJS 63372 68 16 of of IN 63372 68 17 several several JJ 63372 68 18 essays essay NNS 63372 68 19 of of IN 63372 68 20 substantially substantially RB 63372 68 21 the the DT 63372 68 22 same same JJ 63372 68 23 character character NN 63372 68 24 . . . 63372 69 1 Not not RB 63372 69 2 all all DT 63372 69 3 of of IN 63372 69 4 them -PRON- PRP 63372 69 5 require require VBP 63372 69 6 comment comment NN 63372 69 7 here here RB 63372 69 8 , , , 63372 69 9 but but CC 63372 69 10 concerning concern VBG 63372 69 11 some some DT 63372 69 12 of of IN 63372 69 13 them -PRON- PRP 63372 69 14 a a DT 63372 69 15 word word NN 63372 69 16 may may MD 63372 69 17 well well RB 63372 69 18 be be VB 63372 69 19 said say VBN 63372 69 20 . . . 63372 70 1 Mr. Mr. NNP 63372 70 2 Francis Francis NNP 63372 70 3 , , , 63372 70 4 we -PRON- PRP 63372 70 5 believe believe VBP 63372 70 6 , , , 63372 70 7 has have VBZ 63372 70 8 succeeded succeed VBN 63372 70 9 in in IN 63372 70 10 packing pack VBG 63372 70 11 more more JJR 63372 70 12 substance substance NN 63372 70 13 into into IN 63372 70 14 his -PRON- PRP$ 63372 70 15 3,000 3,000 CD 63372 70 16 words word NNS 63372 70 17 than than IN 63372 70 18 any any DT 63372 70 19 other other JJ 63372 70 20 competitor competitor NN 63372 70 21 . . . 63372 71 1 Mr. Mr. NNP 63372 71 2 Elliot Elliot NNP 63372 71 3 has have VBZ 63372 71 4 come come VBN 63372 71 5 closer close JJR 63372 71 6 than than IN 63372 71 7 anybody anybody NN 63372 71 8 else else RB 63372 71 9 to to TO 63372 71 10 really really RB 63372 71 11 explaining explain VBG 63372 71 12 relativity relativity NN 63372 71 13 in in IN 63372 71 14 terms term NNS 63372 71 15 familiar familiar JJ 63372 71 16 to to IN 63372 71 17 everybody everybody NN 63372 71 18 , , , 63372 71 19 without without IN 63372 71 20 asking ask VBG 63372 71 21 the the DT 63372 71 22 reader reader NN 63372 71 23 to to TO 63372 71 24 enlarge enlarge VB 63372 71 25 his -PRON- PRP$ 63372 71 26 vocabulary vocabulary NN 63372 71 27 and and CC 63372 71 28 with with IN 63372 71 29 a a DT 63372 71 30 minimum minimum JJ 63372 71 31 demand demand NN 63372 71 32 so so RB 63372 71 33 far far RB 63372 71 34 as as IN 63372 71 35 enlarging enlarge VBG 63372 71 36 his -PRON- PRP$ 63372 71 37 mental mental JJ 63372 71 38 outlook outlook NN 63372 71 39 is be VBZ 63372 71 40 concerned concern VBN 63372 71 41 . . . 63372 72 1 Were be VBD 63372 72 2 it -PRON- PRP 63372 72 3 not not RB 63372 72 4 for for IN 63372 72 5 certain certain JJ 63372 72 6 conspicuous conspicuous JJ 63372 72 7 defects defect NNS 63372 72 8 , , , 63372 72 9 his -PRON- PRP$ 63372 72 10 essay essay NN 63372 72 11 would would MD 63372 72 12 probably probably RB 63372 72 13 have have VB 63372 72 14 taken take VBN 63372 72 15 the the DT 63372 72 16 prize prize NN 63372 72 17 . . . 63372 73 1 In in IN 63372 73 2 justice justice NN 63372 73 3 to to IN 63372 73 4 the the DT 63372 73 5 Judges Judges NNPS 63372 73 6 , , , 63372 73 7 we -PRON- PRP 63372 73 8 should should MD 63372 73 9 state state VB 63372 73 10 that that IN 63372 73 11 we -PRON- PRP 63372 73 12 have have VBP 63372 73 13 taken take VBN 63372 73 14 the the DT 63372 73 15 liberty liberty NN 63372 73 16 of of IN 63372 73 17 eliminating eliminate VBG 63372 73 18 Mr. Mr. NNP 63372 73 19 Elliot Elliot NNP 63372 73 20 's 's POS 63372 73 21 concluding conclude VBG 63372 73 22 paragraph paragraph NN 63372 73 23 , , , 63372 73 24 which which WDT 63372 73 25 was be VBD 63372 73 26 the the DT 63372 73 27 most most RBS 63372 73 28 objectionable objectionable JJ 63372 73 29 feature feature NN 63372 73 30 of of IN 63372 73 31 his -PRON- PRP$ 63372 73 32 essay essay NN 63372 73 33 . . . 63372 74 1 Dr. Dr. NNP 63372 74 2 Dushman Dushman NNP 63372 74 3 chose choose VBD 63372 74 4 for for IN 63372 74 5 his -PRON- PRP$ 63372 74 6 title title NN 63372 74 7 the the DT 63372 74 8 one one NN 63372 74 9 which which WDT 63372 74 10 we -PRON- PRP 63372 74 11 adopted adopt VBD 63372 74 12 for for IN 63372 74 13 this this DT 63372 74 14 book book NN 63372 74 15 . . . 63372 75 1 It -PRON- PRP 63372 75 2 became become VBD 63372 75 3 necessary necessary JJ 63372 75 4 , , , 63372 75 5 therefore therefore RB 63372 75 6 , , , 63372 75 7 for for IN 63372 75 8 us -PRON- PRP 63372 75 9 to to TO 63372 75 10 find find VB 63372 75 11 a a DT 63372 75 12 new new JJ 63372 75 13 title title NN 63372 75 14 for for IN 63372 75 15 his -PRON- PRP$ 63372 75 16 essay essay NN 63372 75 17 ; ; : 63372 75 18 aside aside RB 63372 75 19 from from IN 63372 75 20 this this DT 63372 75 21 instance instance NN 63372 75 22 , , , 63372 75 23 the the DT 63372 75 24 main main JJ 63372 75 25 titles title NNS 63372 75 26 appearing appear VBG 63372 75 27 at at IN 63372 75 28 the the DT 63372 75 29 heads head NNS 63372 75 30 of of IN 63372 75 31 the the DT 63372 75 32 various various JJ 63372 75 33 complete complete JJ 63372 75 34 essays essay NNS 63372 75 35 are be VBP 63372 75 36 those those DT 63372 75 37 of of IN 63372 75 38 the the DT 63372 75 39 authors author NNS 63372 75 40 . . . 63372 76 1 The the DT 63372 76 2 subtitles subtitle NNS 63372 76 3 have have VBP 63372 76 4 in in IN 63372 76 5 practically practically RB 63372 76 6 every every DT 63372 76 7 instance instance NN 63372 76 8 been be VBN 63372 76 9 supplied supply VBN 63372 76 10 editorially editorially RB 63372 76 11 . . . 63372 77 1 Dr. Dr. NNP 63372 77 2 Pickering Pickering NNP 63372 77 3 submitted submit VBD 63372 77 4 two two CD 63372 77 5 essays essay NNS 63372 77 6 , , , 63372 77 7 one one PRP 63372 77 8 written write VBN 63372 77 9 from from IN 63372 77 10 the the DT 63372 77 11 viewpoint viewpoint NN 63372 77 12 of of IN 63372 77 13 the the DT 63372 77 14 physicist physicist NN 63372 77 15 , , , 63372 77 16 the the DT 63372 77 17 other other JJ 63372 77 18 from from IN 63372 77 19 that that DT 63372 77 20 of of IN 63372 77 21 the the DT 63372 77 22 astronomer astronomer NN 63372 77 23 . . . 63372 78 1 To to TO 63372 78 2 make make VB 63372 78 3 each each DT 63372 78 4 complete complete JJ 63372 78 5 , , , 63372 78 6 he -PRON- PRP 63372 78 7 naturally naturally RB 63372 78 8 found find VBD 63372 78 9 it -PRON- PRP 63372 78 10 necessary necessary JJ 63372 78 11 to to TO 63372 78 12 duplicate duplicate VB 63372 78 13 between between IN 63372 78 14 them -PRON- PRP 63372 78 15 certain certain JJ 63372 78 16 introductory introductory JJ 63372 78 17 and and CC 63372 78 18 general general JJ 63372 78 19 material material NN 63372 78 20 . . . 63372 79 1 We -PRON- PRP 63372 79 2 have have VBP 63372 79 3 run run VBN 63372 79 4 the the DT 63372 79 5 two two CD 63372 79 6 essays essay NNS 63372 79 7 together together RB 63372 79 8 into into IN 63372 79 9 a a DT 63372 79 10 single single JJ 63372 79 11 narrative narrative NN 63372 79 12 , , , 63372 79 13 with with IN 63372 79 14 the the DT 63372 79 15 elimination elimination NN 63372 79 16 of of IN 63372 79 17 this this DT 63372 79 18 duplicated duplicate VBN 63372 79 19 material material NN 63372 79 20 ; ; : 63372 79 21 aside aside RB 63372 79 22 from from IN 63372 79 23 this this DT 63372 79 24 blue blue NN 63372 79 25 - - HYPH 63372 79 26 penciling pencil VBG 63372 79 27 no no DT 63372 79 28 alteration alteration NN 63372 79 29 has have VBZ 63372 79 30 been be VBN 63372 79 31 made make VBN 63372 79 32 in in IN 63372 79 33 Dr. Dr. NNP 63372 79 34 Pickering Pickering NNP 63372 79 35 's 's POS 63372 79 36 text text NN 63372 79 37 . . . 63372 80 1 This this DT 63372 80 2 text text NN 63372 80 3 however however RB 63372 80 4 served serve VBD 63372 80 5 as as IN 63372 80 6 the the DT 63372 80 7 basis basis NN 63372 80 8 of of IN 63372 80 9 blue blue RB 63372 80 10 - - HYPH 63372 80 11 penciling penciling NN 63372 80 12 that that DT 63372 80 13 of of IN 63372 80 14 several several JJ 63372 80 15 other other JJ 63372 80 16 contestants contestant NNS 63372 80 17 , , , 63372 80 18 as as IN 63372 80 19 indicated indicate VBN 63372 80 20 in in IN 63372 80 21 the the DT 63372 80 22 foot foot NN 63372 80 23 notes note NNS 63372 80 24 . . . 63372 81 1 For for IN 63372 81 2 the the DT 63372 81 3 reader reader NN 63372 81 4 who who WP 63372 81 5 is be VBZ 63372 81 6 qualified qualified JJ 63372 81 7 or or CC 63372 81 8 who who WP 63372 81 9 can can MD 63372 81 10 qualify qualify VB 63372 81 11 to to TO 63372 81 12 understand understand VB 63372 81 13 it -PRON- PRP 63372 81 14 , , , 63372 81 15 Dr. Dr. NNP 63372 81 16 Murnaghan Murnaghan NNP 63372 81 17 's 's POS 63372 81 18 essay essay NN 63372 81 19 is be VBZ 63372 81 20 perhaps perhaps RB 63372 81 21 the the DT 63372 81 22 most most RBS 63372 81 23 illuminating illuminating NN 63372 81 24 of of IN 63372 81 25 all all DT 63372 81 26 . . . 63372 82 1 Even even RB 63372 82 2 the the DT 63372 82 3 reader reader NN 63372 82 4 who who WP 63372 82 5 does do VBZ 63372 82 6 not not RB 63372 82 7 understand understand VB 63372 82 8 it -PRON- PRP 63372 82 9 all all DT 63372 82 10 will will MD 63372 82 11 realize realize VB 63372 82 12 that that IN 63372 82 13 its -PRON- PRP$ 63372 82 14 author author NN 63372 82 15 brings bring VBZ 63372 82 16 to to IN 63372 82 17 the the DT 63372 82 18 subject subject NN 63372 82 19 a a DT 63372 82 20 freshness freshness NN 63372 82 21 of of IN 63372 82 22 viewpoint viewpoint NN 63372 82 23 and and CC 63372 82 24 an an DT 63372 82 25 originality originality NN 63372 82 26 of of IN 63372 82 27 treatment treatment NN 63372 82 28 which which WDT 63372 82 29 are be VBP 63372 82 30 rather rather RB 63372 82 31 lacking lack VBG 63372 82 32 in in IN 63372 82 33 some some DT 63372 82 34 of of IN 63372 82 35 the the DT 63372 82 36 published publish VBN 63372 82 37 essays essay NNS 63372 82 38 , , , 63372 82 39 and and CC 63372 82 40 which which WDT 63372 82 41 it -PRON- PRP 63372 82 42 will will MD 63372 82 43 readily readily RB 63372 82 44 be be VB 63372 82 45 understood understand VBN 63372 82 46 were be VBD 63372 82 47 conspicuously conspicuously RB 63372 82 48 lacking lack VBG 63372 82 49 in in IN 63372 82 50 a a DT 63372 82 51 good good JJ 63372 82 52 many many JJ 63372 82 53 of of IN 63372 82 54 the the DT 63372 82 55 unpublished unpublished JJ 63372 82 56 ones one NNS 63372 82 57 . . . 63372 83 1 Dr. Dr. NNP 63372 83 2 Murnaghan Murnaghan NNP 63372 83 3 of of IN 63372 83 4 all all PDT 63372 83 5 the the DT 63372 83 6 competitors competitor NNS 63372 83 7 has have VBZ 63372 83 8 come come VBN 63372 83 9 closest close JJS 63372 83 10 to to IN 63372 83 11 making make VBG 63372 83 12 a a DT 63372 83 13 contribution contribution NN 63372 83 14 to to IN 63372 83 15 science science NN 63372 83 16 as as RB 63372 83 17 well well RB 63372 83 18 as as IN 63372 83 19 to to IN 63372 83 20 the the DT 63372 83 21 semi semi JJ 63372 83 22 - - JJ 63372 83 23 popular popular JJ 63372 83 24 literature literature NN 63372 83 25 of of IN 63372 83 26 science science NN 63372 83 27 . . . 63372 84 1 In in IN 63372 84 2 the the DT 63372 84 3 composite composite JJ 63372 84 4 chapters chapter NNS 63372 84 5 , , , 63372 84 6 the the DT 63372 84 7 brackets bracket NNS 63372 84 8 followed follow VBN 63372 84 9 by by IN 63372 84 10 reference reference NN 63372 84 11 numbers number NNS 63372 84 12 have have VBP 63372 84 13 been be VBN 63372 84 14 used use VBN 63372 84 15 as as IN 63372 84 16 the the DT 63372 84 17 most most RBS 63372 84 18 practicable practicable JJ 63372 84 19 means mean NNS 63372 84 20 of of IN 63372 84 21 identifying identify VBG 63372 84 22 the the DT 63372 84 23 various various JJ 63372 84 24 individual individual JJ 63372 84 25 contributions contribution NNS 63372 84 26 . . . 63372 85 1 We -PRON- PRP 63372 85 2 believe believe VBP 63372 85 3 that that IN 63372 85 4 this this DT 63372 85 5 part part NN 63372 85 6 of of IN 63372 85 7 the the DT 63372 85 8 text text NN 63372 85 9 can can MD 63372 85 10 be be VB 63372 85 11 read read VBN 63372 85 12 without without IN 63372 85 13 allowing allow VBG 63372 85 14 the the DT 63372 85 15 frequent frequent JJ 63372 85 16 occurrence occurrence NN 63372 85 17 of of IN 63372 85 18 these these DT 63372 85 19 symbols symbol NNS 63372 85 20 to to TO 63372 85 21 distract distract VB 63372 85 22 the the DT 63372 85 23 eye eye NN 63372 85 24 . . . 63372 86 1 As as IN 63372 86 2 to to IN 63372 86 3 the the DT 63372 86 4 references reference NNS 63372 86 5 themselves -PRON- PRP 63372 86 6 , , , 63372 86 7 the the DT 63372 86 8 asterisk asterisk NN 63372 86 9 marks mark VBZ 63372 86 10 the the DT 63372 86 11 contributions contribution NNS 63372 86 12 of of IN 63372 86 13 the the DT 63372 86 14 Editor Editor NNP 63372 86 15 . . . 63372 87 1 The the DT 63372 87 2 numbers number NNS 63372 87 3 are be VBP 63372 87 4 those those DT 63372 87 5 attached attach VBN 63372 87 6 to to IN 63372 87 7 the the DT 63372 87 8 essays essay NNS 63372 87 9 in in IN 63372 87 10 order order NN 63372 87 11 of of IN 63372 87 12 and and CC 63372 87 13 at at IN 63372 87 14 the the DT 63372 87 15 time time NN 63372 87 16 of of IN 63372 87 17 their -PRON- PRP$ 63372 87 18 receipt receipt NN 63372 87 19 ; ; : 63372 87 20 it -PRON- PRP 63372 87 21 has have VBZ 63372 87 22 been be VBN 63372 87 23 more more RBR 63372 87 24 convenient convenient JJ 63372 87 25 to to TO 63372 87 26 use use VB 63372 87 27 these these DT 63372 87 28 than than IN 63372 87 29 to to TO 63372 87 30 assign assign VB 63372 87 31 consecutive consecutive JJ 63372 87 32 numbers number NNS 63372 87 33 to to IN 63372 87 34 the the DT 63372 87 35 quoted quote VBN 63372 87 36 essays essay NNS 63372 87 37 . . . 63372 88 1 The the DT 63372 88 2 several several JJ 63372 88 3 numbers number NNS 63372 88 4 identify identify VBP 63372 88 5 passages passage NNS 63372 88 6 from from IN 63372 88 7 the the DT 63372 88 8 essays essay NNS 63372 88 9 of of IN 63372 88 10 the the DT 63372 88 11 following follow VBG 63372 88 12 contestants contestant NNS 63372 88 13 : : : 63372 88 14 10 10 CD 63372 88 15 : : : 63372 88 16 Frederick Frederick NNP 63372 88 17 W. W. NNP 63372 88 18 Shurlock Shurlock NNP 63372 88 19 , , , 63372 88 20 Derby Derby NNP 63372 88 21 , , , 63372 88 22 England England NNP 63372 88 23 . . . 63372 89 1 18 18 CD 63372 89 2 : : : 63372 89 3 L. L. NNP 63372 89 4 L. L. NNP 63372 89 5 Whyte Whyte NNP 63372 89 6 , , , 63372 89 7 Cambridge Cambridge NNP 63372 89 8 , , , 63372 89 9 England England NNP 63372 89 10 . . . 63372 90 1 24 24 CD 63372 90 2 : : : 63372 90 3 Prof. Prof. NNP 63372 90 4 Moritz Moritz NNP 63372 90 5 Schlick Schlick NNP 63372 90 6 , , , 63372 90 7 University University NNP 63372 90 8 of of IN 63372 90 9 Rostock Rostock NNP 63372 90 10 , , , 63372 90 11 Germany Germany NNP 63372 90 12 . . . 63372 91 1 30 30 CD 63372 91 2 : : : 63372 91 3 C. C. NNP 63372 91 4 E. E. NNP 63372 91 5 Rose Rose NNP 63372 91 6 , , , 63372 91 7 M.E. M.E. NNP 63372 91 8 , , , 63372 91 9 Little Little NNP 63372 91 10 Rock Rock NNP 63372 91 11 , , , 63372 91 12 Ark. Arkansas NNP 63372 92 1 33 33 CD 63372 92 2 : : : 63372 92 3 H. H. NNP 63372 92 4 Gartelmann Gartelmann NNP 63372 92 5 , , , 63372 92 6 Bremen Bremen NNP 63372 92 7 , , , 63372 92 8 Germany Germany NNP 63372 92 9 . . . 63372 93 1 35 35 CD 63372 93 2 : : : 63372 93 3 Prof. Prof. NNP 63372 93 4 Joseph Joseph NNP 63372 93 5 S. S. NNP 63372 93 6 Ames Ames NNP 63372 93 7 , , , 63372 93 8 Johns Johns NNP 63372 93 9 Hopkins Hopkins NNP 63372 93 10 University University NNP 63372 93 11 , , , 63372 93 12 Baltimore Baltimore NNP 63372 93 13 . . . 63372 94 1 47 47 CD 63372 94 2 : : : 63372 94 3 James James NNP 63372 94 4 O. O. NNP 63372 94 5 G. G. NNP 63372 94 6 Gibbons Gibbons NNP 63372 94 7 , , , 63372 94 8 East East NNP 63372 94 9 Orange Orange NNP 63372 94 10 . . . 63372 95 1 N. N. NNP 63372 95 2 J. J. NNP 63372 96 1 82 82 CD 63372 96 2 : : : 63372 96 3 Charles Charles NNP 63372 96 4 H. H. NNP 63372 96 5 Burr Burr NNP 63372 96 6 , , , 63372 96 7 Philadelphia Philadelphia NNP 63372 96 8 . . . 63372 97 1 101 101 CD 63372 97 2 : : : 63372 97 3 L. L. NNP 63372 97 4 F. F. NNP 63372 97 5 H. H. NNP 63372 97 6 de de NNP 63372 97 7 Miffonis Miffonis NNP 63372 97 8 . . . 63372 98 1 B.A. B.A. NNP 63372 98 2 , , , 63372 98 3 C.E. C.E. NNP 63372 98 4 , , , 63372 98 5 Ottawa Ottawa NNP 63372 98 6 , , , 63372 98 7 Canada Canada NNP 63372 98 8 . . . 63372 99 1 102 102 CD 63372 99 2 : : : 63372 99 3 Charles Charles NNP 63372 99 4 A. A. NNP 63372 99 5 Brunn Brunn NNP 63372 99 6 , , , 63372 99 7 Kansas Kansas NNP 63372 99 8 City City NNP 63372 99 9 . . . 63372 100 1 106 106 CD 63372 100 2 : : : 63372 100 3 J. J. NNP 63372 100 4 Elias Elias NNP 63372 100 5 Fries Fries NNP 63372 100 6 , , , 63372 100 7 Fellow Fellow NNP 63372 100 8 A.I.E.E. A.I.E.E. NNP 63372 100 9 , , , 63372 100 10 Birmingham Birmingham NNP 63372 100 11 , , , 63372 100 12 Ala. Alabama NNP 63372 100 13 114 114 CD 63372 100 14 : : : 63372 100 15 Dean Dean NNP 63372 100 16 W. W. NNP 63372 100 17 P. P. NNP 63372 100 18 Graham Graham NNP 63372 100 19 , , , 63372 100 20 Syracuse Syracuse NNP 63372 100 21 University University NNP 63372 100 22 , , , 63372 100 23 Syracuse Syracuse NNP 63372 100 24 , , , 63372 100 25 N. N. NNP 63372 100 26 Y. Y. NNP 63372 101 1 115 115 CD 63372 101 2 : : : 63372 101 3 Rev. Rev. NNP 63372 102 1 George George NNP 63372 102 2 Thomas Thomas NNP 63372 102 3 Manley Manley NNP 63372 102 4 , , , 63372 102 5 London London NNP 63372 102 6 . . . 63372 103 1 116 116 CD 63372 103 2 : : : 63372 103 3 Prof. Prof. NNP 63372 103 4 J. J. NNP 63372 104 1 A. A. NNP 63372 104 2 Schouten Schouten NNP 63372 104 3 , , , 63372 104 4 Delft Delft NNP 63372 104 5 , , , 63372 104 6 Netherlands Netherlands NNP 63372 104 7 . . . 63372 105 1 121 121 CD 63372 105 2 : : : 63372 105 3 Elwyn Elwyn NNP 63372 105 4 F. F. NNP 63372 105 5 Burrill Burrill NNP 63372 105 6 , , , 63372 105 7 Berkeley Berkeley NNP 63372 105 8 , , , 63372 105 9 Cal Cal NNP 63372 105 10 . . . 63372 106 1 125 125 CD 63372 106 2 : : : 63372 106 3 Dorothy Dorothy NNP 63372 106 4 Burr Burr NNP 63372 106 5 , , , 63372 106 6 Bryn Bryn NNP 63372 106 7 Mawr Mawr NNP 63372 106 8 , , , 63372 106 9 Pa. Pennsylvania NNP 63372 106 10 130 130 CD 63372 106 11 : : : 63372 106 12 C. C. NNP 63372 106 13 W. W. NNP 63372 106 14 Kanolt Kanolt NNP 63372 106 15 , , , 63372 106 16 Bureau Bureau NNP 63372 106 17 of of IN 63372 106 18 Standards Standards NNPS 63372 106 19 , , , 63372 106 20 Washington Washington NNP 63372 106 21 . . . 63372 107 1 135 135 CD 63372 107 2 : : : 63372 107 3 Robert Robert NNP 63372 107 4 Stevenson Stevenson NNP 63372 107 5 , , , 63372 107 6 New New NNP 63372 107 7 York York NNP 63372 107 8 . . . 63372 108 1 139 139 CD 63372 108 2 : : : 63372 108 3 Leopold Leopold NNP 63372 108 4 Schorsch Schorsch NNP 63372 108 5 , , , 63372 108 6 New New NNP 63372 108 7 York York NNP 63372 108 8 . . . 63372 109 1 141 141 CD 63372 109 2 : : : 63372 109 3 Dr. Dr. NNP 63372 109 4 M. M. NNP 63372 109 5 C. C. NNP 63372 109 6 Mott Mott NNP 63372 109 7 - - HYPH 63372 109 8 Smith Smith NNP 63372 109 9 , , , 63372 109 10 Los Los NNP 63372 109 11 Angeles Angeles NNP 63372 109 12 , , , 63372 109 13 Calif. California NNP 63372 109 14 147 147 CD 63372 109 15 : : : 63372 109 16 Edward Edward NNP 63372 109 17 A. A. NNP 63372 109 18 Clarke Clarke NNP 63372 109 19 , , , 63372 109 20 Columbus Columbus NNP 63372 109 21 , , , 63372 109 22 O. O. NNP 63372 110 1 149 149 CD 63372 110 2 : : : 63372 110 3 Edward Edward NNP 63372 110 4 A. A. NNP 63372 110 5 Partridge Partridge NNP 63372 110 6 , , , 63372 110 7 Philadelphia Philadelphia NNP 63372 110 8 . . . 63372 111 1 150 150 CD 63372 111 2 : : : 63372 111 3 Col Col NNP 63372 111 4 . . NNP 63372 111 5 John John NNP 63372 111 6 Millis Millis NNP 63372 111 7 , , , 63372 111 8 U. U. NNP 63372 111 9 S. S. NNP 63372 111 10 A. A. NNP 63372 111 11 , , , 63372 111 12 Chicago Chicago NNP 63372 111 13 . . . 63372 112 1 152 152 CD 63372 112 2 : : : 63372 112 3 George George NNP 63372 112 4 F. F. NNP 63372 112 5 Marsteller Marsteller NNP 63372 112 6 , , , 63372 112 7 Detroit Detroit NNP 63372 112 8 . . . 63372 113 1 156 156 CD 63372 113 2 : : : 63372 113 3 D. D. NNP 63372 113 4 B. B. NNP 63372 114 1 Hall Hall NNP 63372 114 2 , , , 63372 114 3 Cincinnati Cincinnati NNP 63372 114 4 . . . 63372 115 1 165 165 CD 63372 115 2 : : : 63372 115 3 Francis Francis NNP 63372 115 4 Farquhar Farquhar NNP 63372 115 5 , , , 63372 115 6 York York NNP 63372 115 7 , , , 63372 115 8 Pa. Pennsylvania NNP 63372 115 9 178 178 CD 63372 115 10 : : : 63372 115 11 Dr. Dr. NNP 63372 115 12 George George NNP 63372 115 13 de de NNP 63372 115 14 Bothezat Bothezat NNP 63372 115 15 , , , 63372 115 16 Dayton Dayton NNP 63372 115 17 , , , 63372 115 18 O. O. NNP 63372 116 1 179 179 CD 63372 116 2 : : : 63372 116 3 Professor Professor NNP 63372 116 4 A. A. NNP 63372 116 5 E. E. NNP 63372 116 6 Caswell Caswell NNP 63372 116 7 , , , 63372 116 8 University University NNP 63372 116 9 of of IN 63372 116 10 Oregon Oregon NNP 63372 116 11 , , , 63372 116 12 Eugene Eugene NNP 63372 116 13 , , , 63372 116 14 Ore. Oregon NNP 63372 116 15 182 182 CD 63372 116 16 : : : 63372 116 17 C. C. NNP 63372 116 18 E. E. NNP 63372 116 19 Dimick Dimick NNP 63372 116 20 , , , 63372 116 21 New New NNP 63372 116 22 London London NNP 63372 116 23 , , , 63372 116 24 Conn. Connecticut NNP 63372 116 25 186 186 CD 63372 116 26 : : : 63372 116 27 Earl Earl NNP 63372 116 28 R. R. NNP 63372 116 29 Evans Evans NNP 63372 116 30 , , , 63372 116 31 Washington Washington NNP 63372 116 32 , , , 63372 116 33 D. D. NNP 63372 116 34 C. C. NNP 63372 116 35 188 188 CD 63372 116 36 : : : 63372 116 37 Norman Norman NNP 63372 116 38 E. E. NNP 63372 116 39 Gilbert Gilbert NNP 63372 116 40 , , , 63372 116 41 Dartmouth Dartmouth NNP 63372 116 42 College College NNP 63372 116 43 , , , 63372 116 44 Hanover Hanover NNP 63372 116 45 , , , 63372 116 46 N. N. NNP 63372 116 47 H. H. NNP 63372 116 48 192 192 CD 63372 116 49 : : : 63372 116 50 A. a. NN 63372 116 51 d'Abro d'Abro NNP 63372 116 52 . . . 63372 117 1 New New NNP 63372 117 2 York York NNP 63372 117 3 . . . 63372 118 1 194 194 CD 63372 118 2 : : : 63372 118 3 L. L. NNP 63372 118 4 M. M. NNP 63372 118 5 Alexander Alexander NNP 63372 118 6 , , , 63372 118 7 Cincinnati Cincinnati NNP 63372 118 8 . . . 63372 119 1 197 197 CD 63372 119 2 : : : 63372 119 3 Kenneth Kenneth NNP 63372 119 4 W. W. NNP 63372 119 5 Reed Reed NNP 63372 119 6 , , , 63372 119 7 East East NNP 63372 119 8 Cleveland Cleveland NNP 63372 119 9 , , , 63372 119 10 O. O. NNP 63372 120 1 198 198 CD 63372 120 2 : : : 63372 120 3 Prof. Prof. NNP 63372 120 4 E. E. NNP 63372 120 5 N. N. NNP 63372 120 6 da da NNP 63372 120 7 C. C. NNP 63372 120 8 Andrade Andrade NNP 63372 120 9 , , , 63372 120 10 Ordnance Ordnance NNP 63372 120 11 College College NNP 63372 120 12 , , , 63372 120 13 Woolwich Woolwich NNP 63372 120 14 , , , 63372 120 15 England England NNP 63372 120 16 . . . 63372 121 1 216 216 CD 63372 121 2 : : : 63372 121 3 Professor Professor NNP 63372 121 4 Andrew Andrew NNP 63372 121 5 H. H. NNP 63372 121 6 Patterson Patterson NNP 63372 121 7 , , , 63372 121 8 University University NNP 63372 121 9 of of IN 63372 121 10 North North NNP 63372 121 11 Carolina Carolina NNP 63372 121 12 , , , 63372 121 13 Chapel Chapel NNP 63372 121 14 Hill Hill NNP 63372 121 15 , , , 63372 121 16 N. N. NNP 63372 121 17 C. C. NNP 63372 121 18 220 220 CD 63372 121 19 : : : 63372 121 20 Prof. Prof. NNP 63372 121 21 Arthur Arthur NNP 63372 121 22 Gordon Gordon NNP 63372 121 23 Webster Webster NNP 63372 121 24 , , , 63372 121 25 Clark Clark NNP 63372 121 26 College College NNP 63372 121 27 , , , 63372 121 28 Worcester Worcester NNP 63372 121 29 , , , 63372 121 30 Mass. Massachusetts NNP 63372 122 1 221 221 CD 63372 122 2 : : : 63372 122 3 Walter Walter NNP 63372 122 4 van van NNP 63372 122 5 B. B. NNP 63372 122 6 Roberts Roberts NNP 63372 122 7 , , , 63372 122 8 Princeton Princeton NNP 63372 122 9 University University NNP 63372 122 10 , , , 63372 122 11 N. N. NNP 63372 122 12 J. J. NNP 63372 123 1 223 223 CD 63372 123 2 : : : 63372 123 3 Paul Paul NNP 63372 123 4 M. M. NNP 63372 123 5 Batchelder Batchelder NNP 63372 123 6 , , , 63372 123 7 Austin Austin NNP 63372 123 8 , , , 63372 123 9 Tex Tex NNP 63372 123 10 . . . 63372 124 1 227 227 CD 63372 124 2 : : : 63372 124 3 Prof. Prof. NNP 63372 124 4 R. R. NNP 63372 124 5 W. W. NNP 63372 124 6 Wood Wood NNP 63372 124 7 , , , 63372 124 8 Johns Johns NNP 63372 124 9 Hopkins Hopkins NNP 63372 124 10 University University NNP 63372 124 11 , , , 63372 124 12 Baltimore Baltimore NNP 63372 124 13 . . . 63372 125 1 229 229 CD 63372 125 2 : : : 63372 125 3 E. E. NNP 63372 125 4 P. P. NNP 63372 125 5 Fairbairn Fairbairn NNP 63372 125 6 , , , 63372 125 7 M.C. M.C. NNP 63372 125 8 , , , 63372 125 9 B.Sc B.Sc NNP 63372 125 10 . . NNP 63372 125 11 , , , 63372 125 12 Glasgow Glasgow NNP 63372 125 13 . . . 63372 126 1 231 231 CD 63372 126 2 : : : 63372 126 3 R. R. NNP 63372 126 4 F. F. NNP 63372 126 5 Deimel Deimel NNP 63372 126 6 , , , 63372 126 7 Hoboken Hoboken NNP 63372 126 8 , , , 63372 126 9 N. N. NNP 63372 126 10 J. J. NNP 63372 127 1 232 232 CD 63372 127 2 : : : 63372 127 3 Lieut Lieut NNP 63372 127 4 . . . 63372 128 1 W. W. NNP 63372 128 2 Mark Mark NNP 63372 128 3 Angus Angus NNP 63372 128 4 , , , 63372 128 5 U. U. NNP 63372 128 6 S. S. NNP 63372 128 7 N. N. NNP 63372 128 8 , , , 63372 128 9 Philadelphia Philadelphia NNP 63372 128 10 . . . 63372 129 1 235 235 CD 63372 129 2 : : : 63372 129 3 Edward Edward NNP 63372 129 4 Adams Adams NNP 63372 129 5 Richardson Richardson NNP 63372 129 6 , , , 63372 129 7 Kansas Kansas NNP 63372 129 8 City City NNP 63372 129 9 . . . 63372 130 1 263 263 CD 63372 130 2 : : : 63372 130 3 Prof. Prof. NNP 63372 130 4 William William NNP 63372 130 5 Benjamin Benjamin NNP 63372 130 6 Smith Smith NNP 63372 130 7 , , , 63372 130 8 Tulane Tulane NNP 63372 130 9 University University NNP 63372 130 10 , , , 63372 130 11 New New NNP 63372 130 12 Orleans Orleans NNP 63372 130 13 . . . 63372 131 1 264 264 CD 63372 131 2 : : : 63372 131 3 James James NNP 63372 131 4 Rice Rice NNP 63372 131 5 , , , 63372 131 6 University University NNP 63372 131 7 of of IN 63372 131 8 London London NNP 63372 131 9 , , , 63372 131 10 London London NNP 63372 131 11 . . . 63372 132 1 267 267 CD 63372 132 2 : : : 63372 132 3 William William NNP 63372 132 4 Hemmenway Hemmenway NNP 63372 132 5 Pratt Pratt NNP 63372 132 6 , , , 63372 132 7 Lynn Lynn NNP 63372 132 8 , , , 63372 132 9 Mass. Massachusetts NNP 63372 133 1 272 272 CD 63372 133 2 : : : 63372 133 3 R. R. NNP 63372 133 4 Bruce Bruce NNP 63372 133 5 Lindsay Lindsay NNP 63372 133 6 , , , 63372 133 7 New New NNP 63372 133 8 Bedford Bedford NNP 63372 133 9 , , , 63372 133 10 Mass. Massachusetts NNP 63372 134 1 283 283 CD 63372 134 2 : : : 63372 134 3 Frank Frank NNP 63372 134 4 E. E. NNP 63372 134 5 Law Law NNP 63372 134 6 , , , 63372 134 7 Montclair Montclair NNP 63372 134 8 , , , 63372 134 9 N. N. NNP 63372 134 10 J. J. NNP 63372 135 1 In in IN 63372 135 2 addition addition NN 63372 135 3 to to IN 63372 135 4 the the DT 63372 135 5 specific specific JJ 63372 135 6 credit credit NN 63372 135 7 given give VBN 63372 135 8 by by IN 63372 135 9 these these DT 63372 135 10 references reference NNS 63372 135 11 for for IN 63372 135 12 specifically specifically RB 63372 135 13 quoted quote VBN 63372 135 14 passages passage NNS 63372 135 15 , , , 63372 135 16 the the DT 63372 135 17 Editor Editor NNP 63372 135 18 feels feel VBZ 63372 135 19 that that IN 63372 135 20 he -PRON- PRP 63372 135 21 ought ought MD 63372 135 22 to to TO 63372 135 23 acknowledge acknowledge VB 63372 135 24 his -PRON- PRP$ 63372 135 25 general general JJ 63372 135 26 indebtedness indebtedness NN 63372 135 27 to to IN 63372 135 28 the the DT 63372 135 29 competing compete VBG 63372 135 30 essayists essayist NNS 63372 135 31 , , , 63372 135 32 collectively collectively RB 63372 135 33 , , , 63372 135 34 for for IN 63372 135 35 the the DT 63372 135 36 many many JJ 63372 135 37 ideas idea NNS 63372 135 38 which which WDT 63372 135 39 he -PRON- PRP 63372 135 40 has have VBZ 63372 135 41 taken take VBN 63372 135 42 away away RB 63372 135 43 from from IN 63372 135 44 their -PRON- PRP$ 63372 135 45 text text NN 63372 135 46 to to TO 63372 135 47 clothe clothe VB 63372 135 48 in in IN 63372 135 49 his -PRON- PRP$ 63372 135 50 own own JJ 63372 135 51 words word NNS 63372 135 52 . . . 63372 136 1 This this DT 63372 136 2 does do VBZ 63372 136 3 not not RB 63372 136 4 mean mean VB 63372 136 5 that that IN 63372 136 6 the the DT 63372 136 7 Editor Editor NNP 63372 136 8 has have VBZ 63372 136 9 undertaken undertake VBN 63372 136 10 generally generally RB 63372 136 11 to to TO 63372 136 12 improve improve VB 63372 136 13 upon upon IN 63372 136 14 the the DT 63372 136 15 language language NN 63372 136 16 of of IN 63372 136 17 the the DT 63372 136 18 competitors competitor NNS 63372 136 19 , , , 63372 136 20 but but CC 63372 136 21 merely merely RB 63372 136 22 that that IN 63372 136 23 the the DT 63372 136 24 reading reading NN 63372 136 25 of of IN 63372 136 26 all all DT 63372 136 27 their -PRON- PRP$ 63372 136 28 essays essay NNS 63372 136 29 has have VBZ 63372 136 30 given give VBN 63372 136 31 him -PRON- PRP 63372 136 32 many many JJ 63372 136 33 ideas idea NNS 63372 136 34 of of IN 63372 136 35 such such JJ 63372 136 36 complex complex JJ 63372 136 37 origin origin NN 63372 136 38 that that IN 63372 136 39 he -PRON- PRP 63372 136 40 could could MD 63372 136 41 not not RB 63372 136 42 assign assign VB 63372 136 43 credit credit NN 63372 136 44 if if IN 63372 136 45 he -PRON- PRP 63372 136 46 would would MD 63372 136 47 . . . 63372 137 1 TABLE TABLE NNS 63372 137 2 OF of IN 63372 137 3 CONTENTS content NNS 63372 137 4 I.--The i.--the NN 63372 137 5 Einstein Einstein NNP 63372 137 6 $ $ $ 63372 137 7 5,000 5,000 CD 63372 137 8 Prize prize NN 63372 137 9 : : : 63372 137 10 How how WRB 63372 137 11 the the DT 63372 137 12 Contest contest NN 63372 137 13 Came come VBD 63372 137 14 to to TO 63372 137 15 be be VB 63372 137 16 Held hold VBN 63372 137 17 , , , 63372 137 18 and and CC 63372 137 19 Some some DT 63372 137 20 of of IN 63372 137 21 the the DT 63372 137 22 Details detail NNS 63372 137 23 of of IN 63372 137 24 Its -PRON- PRP$ 63372 137 25 Conduct Conduct NNP 63372 137 26 . . . 63372 138 1 By by IN 63372 138 2 the the DT 63372 138 3 Editor Editor NNP 63372 138 4 1 1 CD 63372 138 5 II.--The II.--The NNP 63372 138 6 World World NNP 63372 138 7 -- -- : 63372 138 8 And and CC 63372 138 9 Us -PRON- PRP 63372 138 10 : : : 63372 138 11 An an DT 63372 138 12 Introductory Introductory NNP 63372 138 13 Discussion Discussion NNP 63372 138 14 of of IN 63372 138 15 the the DT 63372 138 16 Philosophy Philosophy NNP 63372 138 17 of of IN 63372 138 18 Relativity Relativity NNP 63372 138 19 , , , 63372 138 20 and and CC 63372 138 21 of of IN 63372 138 22 the the DT 63372 138 23 Mechanism Mechanism NNP 63372 138 24 of of IN 63372 138 25 our -PRON- PRP$ 63372 138 26 Contact Contact NNP 63372 138 27 with with IN 63372 138 28 Time Time NNP 63372 138 29 and and CC 63372 138 30 Space Space NNP 63372 138 31 . . . 63372 139 1 By by IN 63372 139 2 various various JJ 63372 139 3 contributors contributor NNS 63372 139 4 and and CC 63372 139 5 the the DT 63372 139 6 Editor Editor NNP 63372 139 7 19 19 CD 63372 139 8 III.--The III.--The NNP 63372 139 9 Relativity Relativity NNP 63372 139 10 of of IN 63372 139 11 Uniform Uniform NNP 63372 139 12 Motion Motion NNP 63372 139 13 : : : 63372 139 14 Classical classical JJ 63372 139 15 Ideas idea NNS 63372 139 16 on on IN 63372 139 17 the the DT 63372 139 18 Subject subject NN 63372 139 19 ; ; : 63372 139 20 the the DT 63372 139 21 Ether Ether NNP 63372 139 22 and and CC 63372 139 23 the the DT 63372 139 24 Apparent Apparent NNP 63372 139 25 Possibility Possibility NNP 63372 139 26 of of IN 63372 139 27 Absolute Absolute NNP 63372 139 28 Motion Motion NNP 63372 139 29 ; ; : 63372 139 30 the the DT 63372 139 31 Michelson Michelson NNP 63372 139 32 - - HYPH 63372 139 33 Morley Morley NNP 63372 139 34 Experiment Experiment NNP 63372 139 35 and and CC 63372 139 36 the the DT 63372 139 37 Final Final NNP 63372 139 38 Negation Negation NNP 63372 139 39 of of IN 63372 139 40 this this DT 63372 139 41 possibility possibility NN 63372 139 42 . . . 63372 140 1 By by IN 63372 140 2 various various JJ 63372 140 3 contributors contributor NNS 63372 140 4 and and CC 63372 140 5 the the DT 63372 140 6 Editor Editor NNP 63372 140 7 47 47 CD 63372 140 8 IV.--The iv.--the JJ 63372 140 9 Special special JJ 63372 140 10 Theory theory NN 63372 140 11 of of IN 63372 140 12 Relativity Relativity NNP 63372 140 13 : : : 63372 140 14 What what WP 63372 140 15 Einstein Einstein NNP 63372 140 16 's 's POS 63372 140 17 Study Study NNP 63372 140 18 of of IN 63372 140 19 Uniform Uniform NNP 63372 140 20 Motion Motion NNP 63372 140 21 Tells tell VBZ 63372 140 22 Us -PRON- PRP 63372 140 23 About about IN 63372 140 24 Time Time NNP 63372 140 25 and and CC 63372 140 26 Space Space NNP 63372 140 27 and and CC 63372 140 28 the the DT 63372 140 29 Nature Nature NNP 63372 140 30 of of IN 63372 140 31 the the DT 63372 140 32 External External NNP 63372 140 33 Reality Reality NNP 63372 140 34 . . . 63372 141 1 By by IN 63372 141 2 various various JJ 63372 141 3 contributors contributor NNS 63372 141 4 and and CC 63372 141 5 the the DT 63372 141 6 Editor Editor NNP 63372 141 7 76 76 CD 63372 141 8 V.--That V.--That NNP 63372 141 9 Parallel Parallel NNP 63372 141 10 Postulate Postulate NNP 63372 141 11 : : : 63372 141 12 Modern Modern NNP 63372 141 13 Geometric Geometric NNP 63372 141 14 Methods method NNS 63372 141 15 ; ; , 63372 141 16 the the DT 63372 141 17 Dividing divide VBG 63372 141 18 Line line NN 63372 141 19 Between between IN 63372 141 20 Euclidean Euclidean NNP 63372 141 21 and and CC 63372 141 22 Non non JJ 63372 141 23 - - JJ 63372 141 24 Euclidean euclidean JJ 63372 141 25 ; ; : 63372 141 26 and and CC 63372 141 27 the the DT 63372 141 28 Significance significance NN 63372 141 29 of of IN 63372 141 30 the the DT 63372 141 31 Latter Latter NNP 63372 141 32 . . . 63372 142 1 By by IN 63372 142 2 the the DT 63372 142 3 Editor Editor NNP 63372 142 4 111 111 CD 63372 142 5 VI.--The VI.--The NNP 63372 142 6 Space Space NNP 63372 142 7 - - HYPH 63372 142 8 Time Time NNP 63372 142 9 Continuum Continuum NNP 63372 142 10 : : : 63372 142 11 Minkowski Minkowski NNP 63372 142 12 's 's POS 63372 142 13 World World NNP 63372 142 14 of of IN 63372 142 15 Events Events NNPS 63372 142 16 , , , 63372 142 17 and and CC 63372 142 18 the the DT 63372 142 19 Way way NN 63372 142 20 in in IN 63372 142 21 Which which WDT 63372 142 22 It -PRON- PRP 63372 142 23 Fits fit VBZ 63372 142 24 Into into IN 63372 142 25 Einstein Einstein NNP 63372 142 26 's 's POS 63372 142 27 Structure structure NN 63372 142 28 . . . 63372 143 1 By by IN 63372 143 2 the the DT 63372 143 3 Editor Editor NNP 63372 143 4 and and CC 63372 143 5 a a DT 63372 143 6 few few JJ 63372 143 7 contributors contributor NNS 63372 143 8 141 141 CD 63372 143 9 VII.--Relativity vii.--relativity NN 63372 143 10 : : : 63372 143 11 The the DT 63372 143 12 Winning Winning NNP 63372 143 13 Essay Essay NNP 63372 143 14 in in IN 63372 143 15 the the DT 63372 143 16 Contest contest NN 63372 143 17 for for IN 63372 143 18 the the DT 63372 143 19 Eugene Eugene NNP 63372 143 20 Higgins Higgins NNP 63372 143 21 $ $ $ 63372 143 22 5,000 5,000 CD 63372 143 23 Prize Prize NNP 63372 143 24 . . . 63372 144 1 By by IN 63372 144 2 Lyndon Lyndon NNP 63372 144 3 Bolton Bolton NNP 63372 144 4 , , , 63372 144 5 British British NNP 63372 144 6 Patent Patent NNP 63372 144 7 Office Office NNP 63372 144 8 , , , 63372 144 9 London London NNP 63372 144 10 169 169 CD 63372 144 11 VIII.--The viii.--the JJ 63372 144 12 New New NNP 63372 144 13 Concepts Concepts NNPS 63372 144 14 of of IN 63372 144 15 Time Time NNP 63372 144 16 and and CC 63372 144 17 Space Space NNP 63372 144 18 : : : 63372 144 19 The the DT 63372 144 20 Essay Essay NNP 63372 144 21 in in IN 63372 144 22 Behalf Behalf NNP 63372 144 23 of of IN 63372 144 24 Which which WDT 63372 144 25 the the DT 63372 144 26 Greatest great JJS 63372 144 27 Number number NN 63372 144 28 of of IN 63372 144 29 Dissenting dissent VBG 63372 144 30 Opinions Opinions NNPS 63372 144 31 Have have VBP 63372 144 32 Been be VBN 63372 144 33 Recorded record VBN 63372 144 34 . . . 63372 145 1 By by IN 63372 145 2 Montgomery Montgomery NNP 63372 145 3 Francis Francis NNP 63372 145 4 , , , 63372 145 5 New New NNP 63372 145 6 York York NNP 63372 145 7 181 181 CD 63372 145 8 IX.--The IX.--The NNP 63372 145 9 Principle Principle NNP 63372 145 10 of of IN 63372 145 11 Relativity relativity NN 63372 145 12 : : : 63372 145 13 A a DT 63372 145 14 Statement Statement NNP 63372 145 15 of of IN 63372 145 16 What what WP 63372 145 17 it -PRON- PRP 63372 145 18 is be VBZ 63372 145 19 All all RB 63372 145 20 About about IN 63372 145 21 , , , 63372 145 22 in in IN 63372 145 23 Ideas Ideas NNP 63372 145 24 of of IN 63372 145 25 One One NNP 63372 145 26 Syllable Syllable NNP 63372 145 27 . . . 63372 146 1 By by IN 63372 146 2 Hugh Hugh NNP 63372 146 3 Elliot Elliot NNP 63372 146 4 , , , 63372 146 5 Chislehurst Chislehurst NNP 63372 146 6 , , , 63372 146 7 Kent Kent NNP 63372 146 8 , , , 63372 146 9 England England NNP 63372 146 10 195 195 CD 63372 146 11 X.--Space x.--space NN 63372 146 12 , , , 63372 146 13 Time Time NNP 63372 146 14 and and CC 63372 146 15 Gravitation Gravitation NNP 63372 146 16 : : : 63372 146 17 An an DT 63372 146 18 Outline Outline NNP 63372 146 19 of of IN 63372 146 20 Einstein Einstein NNP 63372 146 21 's 's POS 63372 146 22 Theory Theory NNP 63372 146 23 of of IN 63372 146 24 General General NNP 63372 146 25 Relativity Relativity NNP 63372 146 26 . . . 63372 147 1 By by IN 63372 147 2 W. W. NNP 63372 147 3 de de NNP 63372 147 4 Sitter Sitter NNP 63372 147 5 , , , 63372 147 6 University University NNP 63372 147 7 of of IN 63372 147 8 Leyden Leyden NNP 63372 147 9 206 206 CD 63372 147 10 XI.--The XI.--The NNP 63372 147 11 Principle principle NN 63372 147 12 of of IN 63372 147 13 General General NNP 63372 147 14 Relativity Relativity NNP 63372 147 15 : : : 63372 147 16 How how WRB 63372 147 17 Einstein Einstein NNP 63372 147 18 , , , 63372 147 19 to to IN 63372 147 20 a a DT 63372 147 21 Degree Degree NNP 63372 147 22 Never Never NNP 63372 147 23 Before before IN 63372 147 24 Equalled Equalled NNP 63372 147 25 , , , 63372 147 26 Isolates isolate VBZ 63372 147 27 the the DT 63372 147 28 External External NNP 63372 147 29 Reality Reality NNP 63372 147 30 from from IN 63372 147 31 the the DT 63372 147 32 Observer Observer NNP 63372 147 33 's 's POS 63372 147 34 Contribution Contribution NNP 63372 147 35 . . . 63372 148 1 By by IN 63372 148 2 E. E. NNP 63372 148 3 T. T. NNP 63372 148 4 Bell Bell NNP 63372 148 5 , , , 63372 148 6 University University NNP 63372 148 7 of of IN 63372 148 8 Seattle Seattle NNP 63372 148 9 218 218 CD 63372 148 10 XII.--Force XII.--Force NNP 63372 148 11 Vs Vs NNP 63372 148 12 . . . 63372 148 13 Geometry geometry NN 63372 148 14 : : : 63372 148 15 How how WRB 63372 148 16 Einstein Einstein NNP 63372 148 17 Has have VBZ 63372 148 18 Substituted substitute VBN 63372 148 19 the the DT 63372 148 20 Second Second NNP 63372 148 21 for for IN 63372 148 22 the the DT 63372 148 23 First first JJ 63372 148 24 in in IN 63372 148 25 Connection connection NN 63372 148 26 with with IN 63372 148 27 the the DT 63372 148 28 Cause Cause NNP 63372 148 29 of of IN 63372 148 30 Gravitation Gravitation NNP 63372 148 31 . . . 63372 149 1 By by IN 63372 149 2 Saul Saul NNP 63372 149 3 Dushman Dushman NNP 63372 149 4 , , , 63372 149 5 Schenectady Schenectady NNP 63372 149 6 230 230 CD 63372 149 7 XIII.--An xiii.--an IN 63372 149 8 Introduction introduction NN 63372 149 9 to to IN 63372 149 10 Relativity relativity NN 63372 149 11 : : : 63372 149 12 A a DT 63372 149 13 Treatment Treatment NNP 63372 149 14 in in IN 63372 149 15 which which WDT 63372 149 16 the the DT 63372 149 17 Mathematical Mathematical NNP 63372 149 18 Connections Connections NNPS 63372 149 19 of of IN 63372 149 20 Einstein Einstein NNP 63372 149 21 's 's POS 63372 149 22 Work work NN 63372 149 23 are be VBP 63372 149 24 Brought bring VBN 63372 149 25 Out out RP 63372 149 26 More more RBR 63372 149 27 Strongly strongly RB 63372 149 28 and and CC 63372 149 29 More More JJR 63372 149 30 Successfully successfully RB 63372 149 31 than than IN 63372 149 32 Usual Usual NNP 63372 149 33 in in IN 63372 149 34 a a DT 63372 149 35 Popular Popular NNP 63372 149 36 Explanation Explanation NNP 63372 149 37 . . . 63372 150 1 By by IN 63372 150 2 Harold Harold NNP 63372 150 3 T. T. NNP 63372 150 4 Davis Davis NNP 63372 150 5 , , , 63372 150 6 University University NNP 63372 150 7 of of IN 63372 150 8 Wisconsin Wisconsin NNP 63372 150 9 240 240 CD 63372 150 10 XIV.--New xiv.--new NN 63372 150 11 Concepts concept NNS 63372 150 12 for for IN 63372 150 13 Old old JJ 63372 150 14 : : : 63372 150 15 What what WP 63372 150 16 the the DT 63372 150 17 World World NNP 63372 150 18 Looks look VBZ 63372 150 19 Like like IN 63372 150 20 After after IN 63372 150 21 Einstein Einstein NNP 63372 150 22 Has have VBZ 63372 150 23 Had have VBD 63372 150 24 His -PRON- PRP$ 63372 150 25 Way way NN 63372 150 26 with with IN 63372 150 27 It -PRON- PRP 63372 150 28 . . . 63372 151 1 By by IN 63372 151 2 John John NNP 63372 151 3 G. G. NNP 63372 151 4 McHardy McHardy NNP 63372 151 5 , , , 63372 151 6 Commander Commander NNP 63372 151 7 R. R. NNP 63372 151 8 N. N. NNP 63372 151 9 , , , 63372 151 10 London London NNP 63372 151 11 251 251 CD 63372 151 12 XV.--The xv.--the NN 63372 151 13 New New NNP 63372 151 14 World World NNP 63372 151 15 : : : 63372 151 16 A a DT 63372 151 17 Universe universe NN 63372 151 18 in in IN 63372 151 19 Which which WDT 63372 151 20 Geometry Geometry NNP 63372 151 21 Takes take VBZ 63372 151 22 the the DT 63372 151 23 Place Place NNP 63372 151 24 of of IN 63372 151 25 Physics Physics NNP 63372 151 26 , , , 63372 151 27 and and CC 63372 151 28 Curvature curvature JJ 63372 151 29 that that DT 63372 151 30 of of IN 63372 151 31 Force Force NNP 63372 151 32 . . . 63372 152 1 By by IN 63372 152 2 George George NNP 63372 152 3 Frederick Frederick NNP 63372 152 4 Hemens Hemens NNP 63372 152 5 , , , 63372 152 6 M.C. M.C. NNP 63372 152 7 , , , 63372 152 8 B.Sc B.Sc NNP 63372 152 9 . . NNP 63372 152 10 , , , 63372 152 11 London London NNP 63372 152 12 265 265 CD 63372 152 13 XVI.--The XVI.--The NNP 63372 152 14 Quest Quest NNP 63372 152 15 of of IN 63372 152 16 the the DT 63372 152 17 Absolute absolute JJ 63372 152 18 : : : 63372 152 19 Modern modern JJ 63372 152 20 Developments development NNS 63372 152 21 in in IN 63372 152 22 Theoretical Theoretical NNP 63372 152 23 Physics Physics NNP 63372 152 24 , , , 63372 152 25 and and CC 63372 152 26 the the DT 63372 152 27 Climax Climax NNP 63372 152 28 Supplied supply VBN 63372 152 29 by by IN 63372 152 30 Einstein Einstein NNP 63372 152 31 . . . 63372 153 1 By by IN 63372 153 2 Dr. Dr. NNP 63372 153 3 Francis Francis NNP 63372 153 4 D. D. NNP 63372 153 5 Murnaghan Murnaghan NNP 63372 153 6 , , , 63372 153 7 Johns Johns NNP 63372 153 8 Hopkins Hopkins NNP 63372 153 9 University University NNP 63372 153 10 , , , 63372 153 11 Baltimore Baltimore NNP 63372 153 12 276 276 CD 63372 153 13 XVII.--The xvii.--the JJ 63372 153 14 Physical physical JJ 63372 153 15 Side side NN 63372 153 16 of of IN 63372 153 17 Relativity relativity NN 63372 153 18 : : : 63372 153 19 The the DT 63372 153 20 Immediate Immediate NNP 63372 153 21 Contacts Contacts NNP 63372 153 22 between between IN 63372 153 23 Einstein Einstein NNP 63372 153 24 's 's POS 63372 153 25 Theories Theories NNPS 63372 153 26 and and CC 63372 153 27 Current Current NNP 63372 153 28 Physics Physics NNP 63372 153 29 and and CC 63372 153 30 Astronomy Astronomy NNP 63372 153 31 . . . 63372 154 1 By by IN 63372 154 2 Professor Professor NNP 63372 154 3 William William NNP 63372 154 4 H. H. NNP 63372 154 5 Pickering Pickering NNP 63372 154 6 , , , 63372 154 7 Harvard Harvard NNP 63372 154 8 College College NNP 63372 154 9 Observatory Observatory NNP 63372 154 10 , , , 63372 154 11 Mandeville Mandeville NNP 63372 154 12 , , , 63372 154 13 Jamaica Jamaica NNP 63372 154 14 287 287 CD 63372 154 15 XVIII.--The xviii.--the JJ 63372 154 16 Practical practical JJ 63372 154 17 Significance significance NN 63372 154 18 of of IN 63372 154 19 Relativity Relativity NNP 63372 154 20 : : : 63372 154 21 The the DT 63372 154 22 Best good JJS 63372 154 23 Discussion Discussion NNP 63372 154 24 of of IN 63372 154 25 the the DT 63372 154 26 Special Special NNP 63372 154 27 Theory Theory NNP 63372 154 28 Among among IN 63372 154 29 All all PDT 63372 154 30 the the DT 63372 154 31 Competing Competing NNP 63372 154 32 Essays Essays NNPS 63372 154 33 . . . 63372 155 1 By by IN 63372 155 2 Prof. Prof. NNP 63372 155 3 Henry Henry NNP 63372 155 4 Norris Norris NNP 63372 155 5 Russell Russell NNP 63372 155 6 , , , 63372 155 7 Princeton Princeton NNP 63372 155 8 University University NNP 63372 155 9 306 306 CD 63372 155 10 XIX.--Einstein XIX.--Einstein NNP 63372 155 11 's 's POS 63372 155 12 Theory Theory NNP 63372 155 13 of of IN 63372 155 14 Relativity relativity NN 63372 155 15 : : : 63372 155 16 A A NNP 63372 155 17 Simple Simple NNP 63372 155 18 Explanation Explanation NNP 63372 155 19 of of IN 63372 155 20 His -PRON- PRP$ 63372 155 21 Postulates Postulates NNPS 63372 155 22 and and CC 63372 155 23 Their -PRON- PRP$ 63372 155 24 Consequences consequence NNS 63372 155 25 . . . 63372 156 1 By by IN 63372 156 2 T. T. NNP 63372 156 3 Royds Royds NNP 63372 156 4 , , , 63372 156 5 Kodaikanal Kodaikanal NNP 63372 156 6 Observatory Observatory NNP 63372 156 7 , , , 63372 156 8 India India NNP 63372 156 9 318 318 CD 63372 156 10 XX.--Einstein XX.--Einstein NNP 63372 156 11 's 's POS 63372 156 12 Theory Theory NNP 63372 156 13 of of IN 63372 156 14 Gravitation Gravitation NNP 63372 156 15 : : : 63372 156 16 The the DT 63372 156 17 Discussion Discussion NNP 63372 156 18 of of IN 63372 156 19 the the DT 63372 156 20 General General NNP 63372 156 21 Theory Theory NNP 63372 156 22 and and CC 63372 156 23 Its -PRON- PRP$ 63372 156 24 Most most RBS 63372 156 25 Important important JJ 63372 156 26 Application application NN 63372 156 27 , , , 63372 156 28 from from IN 63372 156 29 the the DT 63372 156 30 Essay Essay NNP 63372 156 31 by by IN 63372 156 32 Prof. Prof. NNP 63372 156 33 W. W. NNP 63372 156 34 F. F. NNP 63372 156 35 G. G. NNP 63372 156 36 Swann Swann NNP 63372 156 37 , , , 63372 156 38 University University NNP 63372 156 39 of of IN 63372 156 40 Minnesota Minnesota NNP 63372 156 41 , , , 63372 156 42 Minneapolis Minneapolis NNP 63372 156 43 327 327 CD 63372 156 44 XXI.--The XXI.--The NNP 63372 156 45 Equivalence equivalence NN 63372 156 46 Hypothesis hypothesis NN 63372 156 47 : : : 63372 156 48 The the DT 63372 156 49 Discussion Discussion NNP 63372 156 50 of of IN 63372 156 51 This this DT 63372 156 52 , , , 63372 156 53 With with IN 63372 156 54 Its -PRON- PRP$ 63372 156 55 Difficulties difficulty NNS 63372 156 56 and and CC 63372 156 57 the the DT 63372 156 58 Manner Manner NNP 63372 156 59 in in IN 63372 156 60 Which which WDT 63372 156 61 Einstein Einstein NNP 63372 156 62 Has have VBZ 63372 156 63 Resolved resolve VBN 63372 156 64 Them -PRON- PRP 63372 156 65 , , , 63372 156 66 from from IN 63372 156 67 the the DT 63372 156 68 Essay Essay NNP 63372 156 69 by by IN 63372 156 70 Prof. Prof. NNP 63372 156 71 E. E. NNP 63372 156 72 N. N. NNP 63372 156 73 da da NNP 63372 156 74 C. C. NNP 63372 156 75 Andrade Andrade NNP 63372 156 76 , , , 63372 156 77 Ordnance Ordnance NNP 63372 156 78 College College NNP 63372 156 79 , , , 63372 156 80 Woolwich Woolwich NNP 63372 156 81 , , , 63372 156 82 England England NNP 63372 156 83 334 334 CD 63372 156 84 XXII.--The xxii.--the NN 63372 156 85 General General NNP 63372 156 86 Theory Theory NNP 63372 156 87 : : : 63372 156 88 Fragments fragment NNS 63372 156 89 of of IN 63372 156 90 Particular particular JJ 63372 156 91 Merit Merit NNP 63372 156 92 on on IN 63372 156 93 This this DT 63372 156 94 Phase Phase NNP 63372 156 95 of of IN 63372 156 96 the the DT 63372 156 97 Subject Subject NNP 63372 156 98 . . . 63372 157 1 By by IN 63372 157 2 Various Various NNP 63372 157 3 Contributors Contributors NNP 63372 157 4 338 338 CD 63372 157 5 I. i. NN 63372 158 1 THE the DT 63372 158 2 EINSTEIN EINSTEIN NNP 63372 158 3 $ $ $ 63372 158 4 5,000 5,000 CD 63372 158 5 PRIZE prize NN 63372 158 6 HOW how WRB 63372 158 7 THE the DT 63372 158 8 CONTEST CONTEST NNS 63372 158 9 CAME come VBD 63372 158 10 TO to TO 63372 158 11 BE be VB 63372 158 12 HELD HELD NNP 63372 158 13 , , , 63372 158 14 AND and CC 63372 158 15 SOME SOME NNP 63372 158 16 OF of IN 63372 158 17 THE the DT 63372 158 18 DETAILS DETAILS NNP 63372 158 19 OF of IN 63372 158 20 ITS its PRP$ 63372 158 21 CONDUCT CONDUCT NNP 63372 158 22 BY by IN 63372 158 23 THE the DT 63372 158 24 EDITOR EDITOR NNP 63372 158 25 In in IN 63372 158 26 January January NNP 63372 158 27 , , , 63372 158 28 1909 1909 CD 63372 158 29 , , , 63372 158 30 an an DT 63372 158 31 anonymous anonymous JJ 63372 158 32 donor donor NN 63372 158 33 who who WP 63372 158 34 was be VBD 63372 158 35 interested interested JJ 63372 158 36 in in IN 63372 158 37 the the DT 63372 158 38 spread spread NN 63372 158 39 of of IN 63372 158 40 correct correct JJ 63372 158 41 scientific scientific JJ 63372 158 42 ideas idea NNS 63372 158 43 offered offer VBN 63372 158 44 through through IN 63372 158 45 the the DT 63372 158 46 Scientific Scientific NNP 63372 158 47 American American NNP 63372 158 48 a a DT 63372 158 49 prize prize NN 63372 158 50 of of IN 63372 158 51 $ $ $ 63372 158 52 500 500 CD 63372 158 53 for for IN 63372 158 54 the the DT 63372 158 55 best good JJS 63372 158 56 essay essay NN 63372 158 57 explaining explaining NN 63372 158 58 , , , 63372 158 59 in in IN 63372 158 60 simple simple JJ 63372 158 61 non non JJ 63372 158 62 - - JJ 63372 158 63 technical technical JJ 63372 158 64 language language NN 63372 158 65 , , , 63372 158 66 that that IN 63372 158 67 paradise paradise NN 63372 158 68 of of IN 63372 158 69 mathematicians mathematician NNS 63372 158 70 and and CC 63372 158 71 bugaboo bugaboo NN 63372 158 72 of of IN 63372 158 73 plain plain JJ 63372 158 74 ordinary ordinary JJ 63372 158 75 folk folk NN 63372 158 76 -- -- : 63372 158 77 the the DT 63372 158 78 fourth fourth JJ 63372 158 79 dimension dimension NN 63372 158 80 . . . 63372 159 1 Many many JJ 63372 159 2 essays essay NNS 63372 159 3 were be VBD 63372 159 4 submitted submit VBN 63372 159 5 in in IN 63372 159 6 this this DT 63372 159 7 competition competition NN 63372 159 8 , , , 63372 159 9 and and CC 63372 159 10 in in IN 63372 159 11 addition addition NN 63372 159 12 to to IN 63372 159 13 that that DT 63372 159 14 of of IN 63372 159 15 the the DT 63372 159 16 winner winner NN 63372 159 17 some some DT 63372 159 18 twenty twenty CD 63372 159 19 were be VBD 63372 159 20 adjudged adjudge VBN 63372 159 21 worthy worthy JJ 63372 159 22 of of IN 63372 159 23 ultimate ultimate JJ 63372 159 24 publication publication NN 63372 159 25 . . . 63372 160 1 It -PRON- PRP 63372 160 2 was be VBD 63372 160 3 felt feel VBN 63372 160 4 that that IN 63372 160 5 the the DT 63372 160 6 competition competition NN 63372 160 7 had have VBD 63372 160 8 added add VBN 63372 160 9 distinctly distinctly RB 63372 160 10 to to IN 63372 160 11 the the DT 63372 160 12 popular popular JJ 63372 160 13 understanding understanding NN 63372 160 14 of of IN 63372 160 15 this this DT 63372 160 16 significant significant JJ 63372 160 17 subject subject NN 63372 160 18 ; ; : 63372 160 19 that that IN 63372 160 20 it -PRON- PRP 63372 160 21 had have VBD 63372 160 22 done do VBN 63372 160 23 much much JJ 63372 160 24 to to TO 63372 160 25 clear clear VB 63372 160 26 up up RP 63372 160 27 popular popular JJ 63372 160 28 misconception misconception NN 63372 160 29 of of IN 63372 160 30 just just RB 63372 160 31 what what WP 63372 160 32 the the DT 63372 160 33 mathematician mathematician NN 63372 160 34 means mean VBZ 63372 160 35 when when WRB 63372 160 36 he -PRON- PRP 63372 160 37 talks talk VBZ 63372 160 38 of of IN 63372 160 39 four four CD 63372 160 40 or or CC 63372 160 41 even even RB 63372 160 42 more more JJR 63372 160 43 dimensions dimension NNS 63372 160 44 ; ; : 63372 160 45 and and CC 63372 160 46 that that IN 63372 160 47 it -PRON- PRP 63372 160 48 had have VBD 63372 160 49 therefore therefore RB 63372 160 50 been be VBN 63372 160 51 as as RB 63372 160 52 successful successful JJ 63372 160 53 as as IN 63372 160 54 it -PRON- PRP 63372 160 55 was be VBD 63372 160 56 unusual unusual JJ 63372 160 57 in in IN 63372 160 58 character character NN 63372 160 59 . . . 63372 161 1 In in IN 63372 161 2 November November NNP 63372 161 3 , , , 63372 161 4 1919 1919 CD 63372 161 5 , , , 63372 161 6 the the DT 63372 161 7 world world NN 63372 161 8 was be VBD 63372 161 9 startled startle VBN 63372 161 10 by by IN 63372 161 11 the the DT 63372 161 12 announcement announcement NN 63372 161 13 from from IN 63372 161 14 London London NNP 63372 161 15 that that IN 63372 161 16 examination examination NN 63372 161 17 of of IN 63372 161 18 the the DT 63372 161 19 photographs photograph NNS 63372 161 20 taken take VBN 63372 161 21 during during IN 63372 161 22 the the DT 63372 161 23 total total JJ 63372 161 24 solar solar JJ 63372 161 25 eclipse eclipse NN 63372 161 26 of of IN 63372 161 27 May May NNP 63372 161 28 29th 29th NN 63372 161 29 had have VBD 63372 161 30 been be VBN 63372 161 31 concluded conclude VBN 63372 161 32 , , , 63372 161 33 and and CC 63372 161 34 that that IN 63372 161 35 predictions prediction NNS 63372 161 36 based base VBN 63372 161 37 upon upon IN 63372 161 38 the the DT 63372 161 39 Einstein Einstein NNP 63372 161 40 theories theory NNS 63372 161 41 of of IN 63372 161 42 relativity relativity NN 63372 161 43 had have VBD 63372 161 44 been be VBN 63372 161 45 verified verify VBN 63372 161 46 . . . 63372 162 1 In in IN 63372 162 2 the the DT 63372 162 3 reaction reaction NN 63372 162 4 from from IN 63372 162 5 the the DT 63372 162 6 long long JJ 63372 162 7 surfeit surfeit NN 63372 162 8 of of IN 63372 162 9 war war NN 63372 162 10 news news NN 63372 162 11 an an DT 63372 162 12 item item NN 63372 162 13 of of IN 63372 162 14 this this DT 63372 162 15 sort sort NN 63372 162 16 was be VBD 63372 162 17 a a DT 63372 162 18 thoroughly thoroughly RB 63372 162 19 journalistic journalistic JJ 63372 162 20 one one NN 63372 162 21 . . . 63372 163 1 Long long JJ 63372 163 2 cable cable NN 63372 163 3 dispatches dispatch NNS 63372 163 4 were be VBD 63372 163 5 carried carry VBN 63372 163 6 in in IN 63372 163 7 the the DT 63372 163 8 news news NN 63372 163 9 columns column NNS 63372 163 10 all all RB 63372 163 11 over over IN 63372 163 12 the the DT 63372 163 13 world world NN 63372 163 14 ; ; : 63372 163 15 Einstein Einstein NNP 63372 163 16 and and CC 63372 163 17 his -PRON- PRP$ 63372 163 18 theories theory NNS 63372 163 19 were be VBD 63372 163 20 given give VBN 63372 163 21 a a DT 63372 163 22 prominent prominent JJ 63372 163 23 place place NN 63372 163 24 on on IN 63372 163 25 the the DT 63372 163 26 front front JJ 63372 163 27 pages page NNS 63372 163 28 day day NN 63372 163 29 after after IN 63372 163 30 day day NN 63372 163 31 ; ; : 63372 163 32 leading lead VBG 63372 163 33 scientists scientist NNS 63372 163 34 in in IN 63372 163 35 great great JJ 63372 163 36 number number NN 63372 163 37 were be VBD 63372 163 38 called call VBN 63372 163 39 upon upon IN 63372 163 40 to to TO 63372 163 41 tell tell VB 63372 163 42 the the DT 63372 163 43 public public NN 63372 163 44 through through IN 63372 163 45 the the DT 63372 163 46 reportorial reportorial JJ 63372 163 47 medium medium NN 63372 163 48 just just RB 63372 163 49 what what WP 63372 163 50 the the DT 63372 163 51 excitement excitement NN 63372 163 52 was be VBD 63372 163 53 all all RB 63372 163 54 about about IN 63372 163 55 , , , 63372 163 56 just just RB 63372 163 57 in in IN 63372 163 58 what what WDT 63372 163 59 way way NN 63372 163 60 the the DT 63372 163 61 classical classical JJ 63372 163 62 scientific scientific JJ 63372 163 63 structure structure NN 63372 163 64 had have VBD 63372 163 65 been be VBN 63372 163 66 overthrown overthrow VBN 63372 163 67 . . . 63372 164 1 Instead instead RB 63372 164 2 of of IN 63372 164 3 being be VBG 63372 164 4 a a DT 63372 164 5 mere mere JJ 63372 164 6 nine nine CD 63372 164 7 days day NNS 63372 164 8 ' ' POS 63372 164 9 wonder wonder NN 63372 164 10 , , , 63372 164 11 the the DT 63372 164 12 Einstein Einstein NNP 63372 164 13 theories theory NNS 63372 164 14 held hold VBD 63372 164 15 their -PRON- PRP$ 63372 164 16 place place NN 63372 164 17 in in IN 63372 164 18 the the DT 63372 164 19 public public JJ 63372 164 20 mind mind NN 63372 164 21 . . . 63372 165 1 The the DT 63372 165 2 more more RBR 63372 165 3 serious serious JJ 63372 165 4 periodicals periodical NNS 63372 165 5 devoted devote VBD 63372 165 6 space space NN 63372 165 7 to to IN 63372 165 8 them -PRON- PRP 63372 165 9 . . . 63372 166 1 First first RB 63372 166 2 and and CC 63372 166 3 last last JJ 63372 166 4 , , , 63372 166 5 a a DT 63372 166 6 very very RB 63372 166 7 notable notable JJ 63372 166 8 group group NN 63372 166 9 of of IN 63372 166 10 scientific scientific JJ 63372 166 11 men man NNS 63372 166 12 attempted attempt VBD 63372 166 13 to to TO 63372 166 14 explain explain VB 63372 166 15 to to IN 63372 166 16 the the DT 63372 166 17 general general JJ 63372 166 18 reader reader NN 63372 166 19 the the DT 63372 166 20 scope scope NN 63372 166 21 and and CC 63372 166 22 content content NN 63372 166 23 of of IN 63372 166 24 Einstein Einstein NNP 63372 166 25 's 's POS 63372 166 26 system system NN 63372 166 27 . . . 63372 167 1 These these DT 63372 167 2 efforts effort NNS 63372 167 3 , , , 63372 167 4 well well RB 63372 167 5 considered consider VBN 63372 167 6 as as IN 63372 167 7 they -PRON- PRP 63372 167 8 were be VBD 63372 167 9 , , , 63372 167 10 could could MD 63372 167 11 be be VB 63372 167 12 no no DT 63372 167 13 more more JJR 63372 167 14 than than IN 63372 167 15 partially partially RB 63372 167 16 successful successful JJ 63372 167 17 on on IN 63372 167 18 account account NN 63372 167 19 of of IN 63372 167 20 the the DT 63372 167 21 very very RB 63372 167 22 radical radical JJ 63372 167 23 character character NN 63372 167 24 of of IN 63372 167 25 the the DT 63372 167 26 revisions revision NNS 63372 167 27 which which WDT 63372 167 28 the the DT 63372 167 29 relativity relativity NN 63372 167 30 doctrine doctrine NN 63372 167 31 demands demand NNS 63372 167 32 in in IN 63372 167 33 our -PRON- PRP$ 63372 167 34 fundamental fundamental JJ 63372 167 35 concepts concept NNS 63372 167 36 . . . 63372 168 1 Such such JJ 63372 168 2 revisions revision NNS 63372 168 3 can can MD 63372 168 4 not not RB 63372 168 5 be be VB 63372 168 6 made make VBN 63372 168 7 in in IN 63372 168 8 a a DT 63372 168 9 day day NN 63372 168 10 ; ; : 63372 168 11 the the DT 63372 168 12 average average JJ 63372 168 13 person person NN 63372 168 14 has have VBZ 63372 168 15 not not RB 63372 168 16 the the DT 63372 168 17 viewpoint viewpoint NN 63372 168 18 of of IN 63372 168 19 the the DT 63372 168 20 mathematician mathematician NN 63372 168 21 which which WDT 63372 168 22 permits permit VBZ 63372 168 23 a a DT 63372 168 24 sudden sudden JJ 63372 168 25 and and CC 63372 168 26 complete complete JJ 63372 168 27 exchange exchange NN 63372 168 28 of of IN 63372 168 29 one one CD 63372 168 30 set set NN 63372 168 31 of of IN 63372 168 32 fundamentals fundamental NNS 63372 168 33 for for IN 63372 168 34 another another DT 63372 168 35 . . . 63372 169 1 But but CC 63372 169 2 the the DT 63372 169 3 whole whole JJ 63372 169 4 subject subject NN 63372 169 5 had have VBD 63372 169 6 caught catch VBN 63372 169 7 the the DT 63372 169 8 popular popular JJ 63372 169 9 attention attention NN 63372 169 10 so so RB 63372 169 11 strongly strongly RB 63372 169 12 , , , 63372 169 13 that that IN 63372 169 14 even even RB 63372 169 15 complete complete JJ 63372 169 16 initial initial JJ 63372 169 17 failure failure NN 63372 169 18 to to TO 63372 169 19 discover discover VB 63372 169 20 what what WP 63372 169 21 it -PRON- PRP 63372 169 22 was be VBD 63372 169 23 all all RB 63372 169 24 about about IN 63372 169 25 did do VBD 63372 169 26 not not RB 63372 169 27 discourage discourage VB 63372 169 28 the the DT 63372 169 29 general general JJ 63372 169 30 reader reader NN 63372 169 31 from from IN 63372 169 32 pursuing pursue VBG 63372 169 33 the the DT 63372 169 34 matter matter NN 63372 169 35 with with IN 63372 169 36 determination determination NN 63372 169 37 to to TO 63372 169 38 come come VB 63372 169 39 to to IN 63372 169 40 some some DT 63372 169 41 understanding understanding NN 63372 169 42 of of IN 63372 169 43 what what WP 63372 169 44 had have VBD 63372 169 45 happened happen VBN 63372 169 46 to to IN 63372 169 47 Newton Newton NNP 63372 169 48 and and CC 63372 169 49 Newtonian newtonian JJ 63372 169 50 mechanics mechanic NNS 63372 169 51 . . . 63372 170 1 THE the DT 63372 170 2 DONOR donor NN 63372 170 3 AND and CC 63372 170 4 THE the DT 63372 170 5 PRIZE prize NN 63372 170 6 In in IN 63372 170 7 May May NNP 63372 170 8 , , , 63372 170 9 1920 1920 CD 63372 170 10 , , , 63372 170 11 Mr. Mr. NNP 63372 170 12 Eugene Eugene NNP 63372 170 13 Higgins Higgins NNP 63372 170 14 , , , 63372 170 15 an an DT 63372 170 16 American american JJ 63372 170 17 citizen citizen NN 63372 170 18 long long JJ 63372 170 19 resident resident NN 63372 170 20 in in IN 63372 170 21 Paris Paris NNP 63372 170 22 , , , 63372 170 23 a a DT 63372 170 24 liberal liberal JJ 63372 170 25 patron patron NN 63372 170 26 of of IN 63372 170 27 the the DT 63372 170 28 arts art NNS 63372 170 29 and and CC 63372 170 30 sciences science NNS 63372 170 31 , , , 63372 170 32 and and CC 63372 170 33 a a DT 63372 170 34 lifelong lifelong JJ 63372 170 35 friend friend NN 63372 170 36 of of IN 63372 170 37 the the DT 63372 170 38 Scientific Scientific NNP 63372 170 39 American American NNP 63372 170 40 and and CC 63372 170 41 its -PRON- PRP$ 63372 170 42 proprietors proprietor NNS 63372 170 43 , , , 63372 170 44 suggested suggest VBD 63372 170 45 that that IN 63372 170 46 the the DT 63372 170 47 success success NN 63372 170 48 of of IN 63372 170 49 the the DT 63372 170 50 Fourth Fourth NNP 63372 170 51 Dimension Dimension NNP 63372 170 52 Prize Prize NNP 63372 170 53 Contest Contest NNP 63372 170 54 of of IN 63372 170 55 1910 1910 CD 63372 170 56 had have VBD 63372 170 57 been be VBN 63372 170 58 so so RB 63372 170 59 great great JJ 63372 170 60 that that IN 63372 170 61 it -PRON- PRP 63372 170 62 might may MD 63372 170 63 be be VB 63372 170 64 desirable desirable JJ 63372 170 65 to to TO 63372 170 66 offer offer VB 63372 170 67 another another DT 63372 170 68 prize prize NN 63372 170 69 in in IN 63372 170 70 similar similar JJ 63372 170 71 fashion fashion NN 63372 170 72 for for IN 63372 170 73 the the DT 63372 170 74 best good JJS 63372 170 75 popular popular JJ 63372 170 76 essay essay NN 63372 170 77 on on IN 63372 170 78 the the DT 63372 170 79 Einstein Einstein NNP 63372 170 80 theories theory NNS 63372 170 81 . . . 63372 171 1 He -PRON- PRP 63372 171 2 stated state VBD 63372 171 3 that that IN 63372 171 4 if if IN 63372 171 5 in in IN 63372 171 6 the the DT 63372 171 7 opinion opinion NN 63372 171 8 of of IN 63372 171 9 the the DT 63372 171 10 Scientific scientific JJ 63372 171 11 American American NNP 63372 171 12 these these DT 63372 171 13 theories theory NNS 63372 171 14 were be VBD 63372 171 15 of of IN 63372 171 16 sufficient sufficient JJ 63372 171 17 importance importance NN 63372 171 18 , , , 63372 171 19 and and CC 63372 171 20 the the DT 63372 171 21 probability probability NN 63372 171 22 of of IN 63372 171 23 getting get VBG 63372 171 24 a a DT 63372 171 25 good good JJ 63372 171 26 number number NN 63372 171 27 of of IN 63372 171 28 meritorious meritorious JJ 63372 171 29 essays essay NNS 63372 171 30 were be VBD 63372 171 31 sufficiently sufficiently RB 63372 171 32 great great JJ 63372 171 33 , , , 63372 171 34 and and CC 63372 171 35 the the DT 63372 171 36 public public JJ 63372 171 37 need need NN 63372 171 38 and and CC 63372 171 39 desire desire VB 63372 171 40 for for IN 63372 171 41 enlightenment enlightenment NN 63372 171 42 were be VBD 63372 171 43 sufficiently sufficiently RB 63372 171 44 present present JJ 63372 171 45 , , , 63372 171 46 he -PRON- PRP 63372 171 47 would would MD 63372 171 48 feel feel VB 63372 171 49 inclined inclined JJ 63372 171 50 to to TO 63372 171 51 offer offer VB 63372 171 52 such such PDT 63372 171 53 a a DT 63372 171 54 prize prize NN 63372 171 55 , , , 63372 171 56 leaving leave VBG 63372 171 57 the the DT 63372 171 58 conduct conduct NN 63372 171 59 of of IN 63372 171 60 the the DT 63372 171 61 contest contest NN 63372 171 62 to to IN 63372 171 63 the the DT 63372 171 64 Scientific Scientific NNP 63372 171 65 American American NNP 63372 171 66 as as IN 63372 171 67 in in IN 63372 171 68 the the DT 63372 171 69 former former JJ 63372 171 70 event event NN 63372 171 71 . . . 63372 172 1 It -PRON- PRP 63372 172 2 was be VBD 63372 172 3 the the DT 63372 172 4 judgment judgment NN 63372 172 5 of of IN 63372 172 6 the the DT 63372 172 7 editors editor NNS 63372 172 8 of of IN 63372 172 9 the the DT 63372 172 10 Scientific Scientific NNP 63372 172 11 American American NNP 63372 172 12 that that IN 63372 172 13 all all PDT 63372 172 14 these these DT 63372 172 15 provisos provisos NN 63372 172 16 should should MD 63372 172 17 be be VB 63372 172 18 met meet VBN 63372 172 19 with with IN 63372 172 20 an an DT 63372 172 21 affirmative affirmative JJ 63372 172 22 , , , 63372 172 23 and and CC 63372 172 24 that that IN 63372 172 25 Mr. Mr. NNP 63372 172 26 Higgins Higgins NNP 63372 172 27 accordingly accordingly RB 63372 172 28 could could MD 63372 172 29 with with IN 63372 172 30 propriety propriety NN 63372 172 31 be be VB 63372 172 32 encouraged encourage VBN 63372 172 33 to to TO 63372 172 34 offer offer VB 63372 172 35 the the DT 63372 172 36 prize prize NN 63372 172 37 . . . 63372 173 1 In in IN 63372 173 2 his -PRON- PRP$ 63372 173 3 preliminary preliminary JJ 63372 173 4 letter letter NN 63372 173 5 Mr. Mr. NNP 63372 173 6 Higgins Higgins NNP 63372 173 7 had have VBD 63372 173 8 suggested suggest VBN 63372 173 9 that that IN 63372 173 10 in in IN 63372 173 11 view view NN 63372 173 12 of of IN 63372 173 13 the the DT 63372 173 14 apparent apparent JJ 63372 173 15 greater great JJR 63372 173 16 importance importance NN 63372 173 17 of of IN 63372 173 18 the the DT 63372 173 19 subject subject NN 63372 173 20 to to TO 63372 173 21 be be VB 63372 173 22 proposed propose VBN 63372 173 23 for for IN 63372 173 24 discussion discussion NN 63372 173 25 by by IN 63372 173 26 the the DT 63372 173 27 contestants contestant NNS 63372 173 28 of of IN 63372 173 29 1920 1920 CD 63372 173 30 , , , 63372 173 31 the the DT 63372 173 32 prize prize NN 63372 173 33 offered offer VBD 63372 173 34 should should MD 63372 173 35 probably probably RB 63372 173 36 be be VB 63372 173 37 more more RBR 63372 173 38 liberal liberal JJ 63372 173 39 than than IN 63372 173 40 in in IN 63372 173 41 the the DT 63372 173 42 former former JJ 63372 173 43 instance instance NN 63372 173 44 . . . 63372 174 1 This this DT 63372 174 2 view view NN 63372 174 3 met meet VBD 63372 174 4 with with IN 63372 174 5 the the DT 63372 174 6 approval approval NN 63372 174 7 of of IN 63372 174 8 the the DT 63372 174 9 editors editor NNS 63372 174 10 as as RB 63372 174 11 well well RB 63372 174 12 ; ; : 63372 174 13 but but CC 63372 174 14 they -PRON- PRP 63372 174 15 were be VBD 63372 174 16 totally totally RB 63372 174 17 unprepared unprepared JJ 63372 174 18 for for IN 63372 174 19 the the DT 63372 174 20 receipt receipt NN 63372 174 21 , , , 63372 174 22 late late RB 63372 174 23 in in IN 63372 174 24 June June NNP 63372 174 25 , , , 63372 174 26 of of IN 63372 174 27 a a DT 63372 174 28 cablegram cablegram NN 63372 174 29 from from IN 63372 174 30 Mr. Mr. NNP 63372 174 31 Higgins Higgins NNP 63372 174 32 stating state VBG 63372 174 33 that that IN 63372 174 34 he -PRON- PRP 63372 174 35 had have VBD 63372 174 36 decided decide VBN 63372 174 37 to to TO 63372 174 38 go go VB 63372 174 39 ahead ahead RB 63372 174 40 with with IN 63372 174 41 the the DT 63372 174 42 matter matter NN 63372 174 43 , , , 63372 174 44 and and CC 63372 174 45 that that IN 63372 174 46 he -PRON- PRP 63372 174 47 was be VBD 63372 174 48 forwarding forward VBG 63372 174 49 a a DT 63372 174 50 draft draft NN 63372 174 51 for for IN 63372 174 52 $ $ $ 63372 174 53 5,000 5,000 CD 63372 174 54 to to TO 63372 174 55 represent represent VB 63372 174 56 the the DT 63372 174 57 amount amount NN 63372 174 58 of of IN 63372 174 59 the the DT 63372 174 60 prize prize NN 63372 174 61 . . . 63372 175 1 Such such PDT 63372 175 2 a a DT 63372 175 3 sum sum NN 63372 175 4 , , , 63372 175 5 exceeding exceed VBG 63372 175 6 any any DT 63372 175 7 award award NN 63372 175 8 open open JJ 63372 175 9 to to IN 63372 175 10 a a DT 63372 175 11 professional professional JJ 63372 175 12 man man NN 63372 175 13 with with IN 63372 175 14 the the DT 63372 175 15 single single JJ 63372 175 16 exception exception NN 63372 175 17 of of IN 63372 175 18 the the DT 63372 175 19 Nobel Nobel NNP 63372 175 20 Prize Prize NNP 63372 175 21 , , , 63372 175 22 for for IN 63372 175 23 which which WDT 63372 175 24 he -PRON- PRP 63372 175 25 can can MD 63372 175 26 not not RB 63372 175 27 specifically specifically RB 63372 175 28 compete compete VB 63372 175 29 , , , 63372 175 30 fairly fairly RB 63372 175 31 took take VBD 63372 175 32 the the DT 63372 175 33 breath breath NN 63372 175 34 of of IN 63372 175 35 the the DT 63372 175 36 Editors Editors NNPS 63372 175 37 , , , 63372 175 38 and and CC 63372 175 39 made make VBD 63372 175 40 it -PRON- PRP 63372 175 41 immediately immediately RB 63372 175 42 clear clear JJ 63372 175 43 that that IN 63372 175 44 the the DT 63372 175 45 contest contest NN 63372 175 46 would would MD 63372 175 47 attract attract VB 63372 175 48 the the DT 63372 175 49 widest wide JJS 63372 175 50 attention attention NN 63372 175 51 , , , 63372 175 52 and and CC 63372 175 53 that that IN 63372 175 54 it -PRON- PRP 63372 175 55 should should MD 63372 175 56 score score VB 63372 175 57 the the DT 63372 175 58 most most RBS 63372 175 59 conspicuous conspicuous JJ 63372 175 60 success success NN 63372 175 61 . . . 63372 176 1 It -PRON- PRP 63372 176 2 also also RB 63372 176 3 made make VBD 63372 176 4 it -PRON- PRP 63372 176 5 clear clear JJ 63372 176 6 that that IN 63372 176 7 the the DT 63372 176 8 handling handling NN 63372 176 9 of of IN 63372 176 10 the the DT 63372 176 11 contest contest NN 63372 176 12 would would MD 63372 176 13 be be VB 63372 176 14 a a DT 63372 176 15 more more RBR 63372 176 16 serious serious JJ 63372 176 17 matter matter NN 63372 176 18 than than IN 63372 176 19 had have VBD 63372 176 20 been be VBN 63372 176 21 anticipated anticipate VBN 63372 176 22 . . . 63372 177 1 In in IN 63372 177 2 spite spite NN 63372 177 3 of of IN 63372 177 4 the the DT 63372 177 5 fact fact NN 63372 177 6 that that IN 63372 177 7 it -PRON- PRP 63372 177 8 would would MD 63372 177 9 not not RB 63372 177 10 for for IN 63372 177 11 some some DT 63372 177 12 time time NN 63372 177 13 be be VB 63372 177 14 possible possible JJ 63372 177 15 to to TO 63372 177 16 announce announce VB 63372 177 17 the the DT 63372 177 18 identity identity NN 63372 177 19 of of IN 63372 177 20 the the DT 63372 177 21 Judges Judges NNPS 63372 177 22 , , , 63372 177 23 it -PRON- PRP 63372 177 24 was be VBD 63372 177 25 felt feel VBN 63372 177 26 that that IN 63372 177 27 the the DT 63372 177 28 prospective prospective JJ 63372 177 29 contestants contestant NNS 63372 177 30 should should MD 63372 177 31 have have VB 63372 177 32 every every DT 63372 177 33 opportunity opportunity NN 63372 177 34 for for IN 63372 177 35 extensive extensive JJ 63372 177 36 preparation preparation NN 63372 177 37 ; ; : 63372 177 38 so so CC 63372 177 39 the the DT 63372 177 40 contest contest NN 63372 177 41 was be VBD 63372 177 42 announced announce VBN 63372 177 43 , , , 63372 177 44 and and CC 63372 177 45 the the DT 63372 177 46 rules rule NNS 63372 177 47 governing govern VBG 63372 177 48 it -PRON- PRP 63372 177 49 printed print VBD 63372 177 50 as as RB 63372 177 51 far far RB 63372 177 52 as as IN 63372 177 53 they -PRON- PRP 63372 177 54 could could MD 63372 177 55 be be VB 63372 177 56 determined determine VBN 63372 177 57 on on IN 63372 177 58 such such JJ 63372 177 59 short short JJ 63372 177 60 shrift shrift NN 63372 177 61 , , , 63372 177 62 in in IN 63372 177 63 the the DT 63372 177 64 Scientific Scientific NNP 63372 177 65 American American NNP 63372 177 66 for for IN 63372 177 67 July July NNP 63372 177 68 10 10 CD 63372 177 69 , , , 63372 177 70 1920 1920 CD 63372 177 71 . . . 63372 178 1 Several several JJ 63372 178 2 points point NNS 63372 178 3 of of IN 63372 178 4 ambiguity ambiguity NN 63372 178 5 had have VBD 63372 178 6 to to TO 63372 178 7 be be VB 63372 178 8 cleared clear VBN 63372 178 9 up up RP 63372 178 10 after after IN 63372 178 11 this this DT 63372 178 12 initial initial JJ 63372 178 13 publication publication NN 63372 178 14 . . . 63372 179 1 In in IN 63372 179 2 particular particular JJ 63372 179 3 , , , 63372 179 4 it -PRON- PRP 63372 179 5 had have VBD 63372 179 6 been be VBN 63372 179 7 Mr. Mr. NNP 63372 179 8 Higgins Higgins NNP 63372 179 9 ' ' POS 63372 179 10 suggestion suggestion NN 63372 179 11 that that IN 63372 179 12 in in IN 63372 179 13 the the DT 63372 179 14 very very RB 63372 179 15 probable probable JJ 63372 179 16 event event NN 63372 179 17 of of IN 63372 179 18 the the DT 63372 179 19 Judges Judges NNPS 63372 179 20 ' ' POS 63372 179 21 inability inability NN 63372 179 22 to to TO 63372 179 23 agree agree VB 63372 179 24 upon upon IN 63372 179 25 the the DT 63372 179 26 winning win VBG 63372 179 27 essay essay NN 63372 179 28 , , , 63372 179 29 the the DT 63372 179 30 prize prize NN 63372 179 31 might may MD 63372 179 32 , , , 63372 179 33 at at IN 63372 179 34 their -PRON- PRP$ 63372 179 35 discretion discretion NN 63372 179 36 , , , 63372 179 37 be be VB 63372 179 38 divided divide VBN 63372 179 39 between between IN 63372 179 40 the the DT 63372 179 41 contributors contributor NNS 63372 179 42 of of IN 63372 179 43 the the DT 63372 179 44 best good JJS 63372 179 45 two two CD 63372 179 46 essays essay NNS 63372 179 47 . . . 63372 180 1 This this DT 63372 180 2 condition condition NN 63372 180 3 was be VBD 63372 180 4 actually actually RB 63372 180 5 printed print VBN 63372 180 6 in in IN 63372 180 7 the the DT 63372 180 8 first first JJ 63372 180 9 announcement announcement NN 63372 180 10 , , , 63372 180 11 but but CC 63372 180 12 the the DT 63372 180 13 Post Post NNP 63372 180 14 Office Office NNP 63372 180 15 Department Department NNP 63372 180 16 insisted insist VBD 63372 180 17 upon upon IN 63372 180 18 its -PRON- PRP$ 63372 180 19 withdrawal withdrawal NN 63372 180 20 , , , 63372 180 21 on on IN 63372 180 22 the the DT 63372 180 23 ground ground NN 63372 180 24 that that IN 63372 180 25 with with IN 63372 180 26 it -PRON- PRP 63372 180 27 in in IN 63372 180 28 force force NN 63372 180 29 the the DT 63372 180 30 contestant contestant NN 63372 180 31 would would MD 63372 180 32 not not RB 63372 180 33 know know VB 63372 180 34 whether whether IN 63372 180 35 he -PRON- PRP 63372 180 36 were be VBD 63372 180 37 competing compete VBG 63372 180 38 for for IN 63372 180 39 $ $ $ 63372 180 40 5,000 5,000 CD 63372 180 41 or or CC 63372 180 42 for for IN 63372 180 43 $ $ $ 63372 180 44 2,500 2,500 CD 63372 180 45 , , , 63372 180 46 and and CC 63372 180 47 that that IN 63372 180 48 this this DT 63372 180 49 would would MD 63372 180 50 introduce introduce VB 63372 180 51 the the DT 63372 180 52 " " `` 63372 180 53 element element NN 63372 180 54 of of IN 63372 180 55 chance chance NN 63372 180 56 " " '' 63372 180 57 which which WDT 63372 180 58 alone alone RB 63372 180 59 was be VBD 63372 180 60 necessary necessary JJ 63372 180 61 , , , 63372 180 62 under under IN 63372 180 63 the the DT 63372 180 64 Federal Federal NNP 63372 180 65 statutes statute NNS 63372 180 66 , , , 63372 180 67 to to TO 63372 180 68 make make VB 63372 180 69 the the DT 63372 180 70 contest contest NN 63372 180 71 a a DT 63372 180 72 lottery lottery NN 63372 180 73 . . . 63372 181 1 So so RB 63372 181 2 this this DT 63372 181 3 provision provision NN 63372 181 4 was be VBD 63372 181 5 replaced replace VBN 63372 181 6 by by IN 63372 181 7 one one CD 63372 181 8 to to IN 63372 181 9 the the DT 63372 181 10 effect effect NN 63372 181 11 that that IN 63372 181 12 in in IN 63372 181 13 the the DT 63372 181 14 event event NN 63372 181 15 the the DT 63372 181 16 Judges Judges NNPS 63372 181 17 were be VBD 63372 181 18 not not RB 63372 181 19 able able JJ 63372 181 20 to to TO 63372 181 21 agree agree VB 63372 181 22 , , , 63372 181 23 the the DT 63372 181 24 Einstein Einstein NNP 63372 181 25 Editor Editor NNP 63372 181 26 should should MD 63372 181 27 cast cast VB 63372 181 28 the the DT 63372 181 29 deciding decide VBG 63372 181 30 vote vote NN 63372 181 31 between between IN 63372 181 32 the the DT 63372 181 33 essays essay NNS 63372 181 34 respectively respectively RB 63372 181 35 favored favor VBN 63372 181 36 by by IN 63372 181 37 them -PRON- PRP 63372 181 38 . . . 63372 182 1 The the DT 63372 182 2 announcement announcement NN 63372 182 3 attracted attract VBD 63372 182 4 the the DT 63372 182 5 widest wide JJS 63372 182 6 attention attention NN 63372 182 7 , , , 63372 182 8 and and CC 63372 182 9 was be VBD 63372 182 10 copied copy VBN 63372 182 11 in in IN 63372 182 12 newspapers newspaper NNS 63372 182 13 and and CC 63372 182 14 magazines magazine NNS 63372 182 15 all all RB 63372 182 16 over over IN 63372 182 17 the the DT 63372 182 18 world world NN 63372 182 19 . . . 63372 183 1 Inquiries inquiry NNS 63372 183 2 poured pour VBD 63372 183 3 in in RP 63372 183 4 from from IN 63372 183 5 all all DT 63372 183 6 quarters quarter NNS 63372 183 7 , , , 63372 183 8 and and CC 63372 183 9 the the DT 63372 183 10 Einstein Einstein NNP 63372 183 11 Editor Editor NNP 63372 183 12 found find VBD 63372 183 13 it -PRON- PRP 63372 183 14 almost almost RB 63372 183 15 impossible impossible JJ 63372 183 16 to to TO 63372 183 17 keep keep VB 63372 183 18 himself -PRON- PRP 63372 183 19 supplied supply VBN 63372 183 20 with with IN 63372 183 21 proofs proof NNS 63372 183 22 of of IN 63372 183 23 the the DT 63372 183 24 conditions condition NNS 63372 183 25 and and CC 63372 183 26 rules rule NNS 63372 183 27 to to TO 63372 183 28 mail mail VB 63372 183 29 in in IN 63372 183 30 response response NN 63372 183 31 to to IN 63372 183 32 these these DT 63372 183 33 inquiries inquiry NNS 63372 183 34 . . . 63372 184 1 It -PRON- PRP 63372 184 2 was be VBD 63372 184 3 immediately immediately RB 63372 184 4 clear clear JJ 63372 184 5 that that IN 63372 184 6 there there EX 63372 184 7 was be VBD 63372 184 8 going go VBG 63372 184 9 to to TO 63372 184 10 be be VB 63372 184 11 a a DT 63372 184 12 large large JJ 63372 184 13 number number NN 63372 184 14 of of IN 63372 184 15 essays essay NNS 63372 184 16 submitted submit VBN 63372 184 17 , , , 63372 184 18 and and CC 63372 184 19 that that IN 63372 184 20 many many JJ 63372 184 21 distinguished distinguished JJ 63372 184 22 names name NNS 63372 184 23 would would MD 63372 184 24 be be VB 63372 184 25 listed list VBN 63372 184 26 among among IN 63372 184 27 the the DT 63372 184 28 competitors competitor NNS 63372 184 29 . . . 63372 185 1 THE the DT 63372 185 2 JUDGES JUDGES NNP 63372 185 3 In in IN 63372 185 4 the the DT 63372 185 5 Scientific Scientific NNP 63372 185 6 American American NNP 63372 185 7 for for IN 63372 185 8 September September NNP 63372 185 9 18 18 CD 63372 185 10 , , , 63372 185 11 announcement announcement NN 63372 185 12 was be VBD 63372 185 13 carried carry VBN 63372 185 14 in in IN 63372 185 15 the the DT 63372 185 16 following follow VBG 63372 185 17 words word NNS 63372 185 18 : : : 63372 185 19 " " `` 63372 185 20 We -PRON- PRP 63372 185 21 are be VBP 63372 185 22 assured assure VBN 63372 185 23 with with IN 63372 185 24 complete complete JJ 63372 185 25 certainty certainty NN 63372 185 26 that that IN 63372 185 27 the the DT 63372 185 28 competition competition NN 63372 185 29 for for IN 63372 185 30 the the DT 63372 185 31 five five CD 63372 185 32 - - HYPH 63372 185 33 thousand thousand CD 63372 185 34 - - HYPH 63372 185 35 dollar dollar NN 63372 185 36 prize prize NN 63372 185 37 will will MD 63372 185 38 be be VB 63372 185 39 very very RB 63372 185 40 keen keen JJ 63372 185 41 , , , 63372 185 42 and and CC 63372 185 43 that that IN 63372 185 44 many many JJ 63372 185 45 essays essay NNS 63372 185 46 will will MD 63372 185 47 be be VB 63372 185 48 submitted submit VBN 63372 185 49 which which WDT 63372 185 50 , , , 63372 185 51 if if IN 63372 185 52 they -PRON- PRP 63372 185 53 bore bear VBD 63372 185 54 the the DT 63372 185 55 names name NNS 63372 185 56 of of IN 63372 185 57 their -PRON- PRP$ 63372 185 58 authors author NNS 63372 185 59 , , , 63372 185 60 would would MD 63372 185 61 pass pass VB 63372 185 62 anywhere anywhere RB 63372 185 63 as as IN 63372 185 64 authoritative authoritative JJ 63372 185 65 statements statement NNS 63372 185 66 . . . 63372 186 1 The the DT 63372 186 2 judges judge NNS 63372 186 3 will will MD 63372 186 4 confront confront VB 63372 186 5 a a DT 63372 186 6 task task NN 63372 186 7 of of IN 63372 186 8 extraordinary extraordinary JJ 63372 186 9 difficulty difficulty NN 63372 186 10 in in IN 63372 186 11 the the DT 63372 186 12 effort effort NN 63372 186 13 to to TO 63372 186 14 determine determine VB 63372 186 15 which which WDT 63372 186 16 of of IN 63372 186 17 these these DT 63372 186 18 efforts effort NNS 63372 186 19 is be VBZ 63372 186 20 the the DT 63372 186 21 best good JJS 63372 186 22 ; ; : 63372 186 23 and and CC 63372 186 24 we -PRON- PRP 63372 186 25 believe believe VBP 63372 186 26 the the DT 63372 186 27 difficulties difficulty NNS 63372 186 28 are be VBP 63372 186 29 such such JJ 63372 186 30 that that IN 63372 186 31 multiplication multiplication NN 63372 186 32 of of IN 63372 186 33 judges judge NNS 63372 186 34 would would MD 63372 186 35 merely merely RB 63372 186 36 multiply multiply VB 63372 186 37 the the DT 63372 186 38 obstacles obstacle NNS 63372 186 39 to to IN 63372 186 40 an an DT 63372 186 41 agreement agreement NN 63372 186 42 . . . 63372 187 1 It -PRON- PRP 63372 187 2 is be VBZ 63372 187 3 altogether altogether RB 63372 187 4 likely likely JJ 63372 187 5 that that IN 63372 187 6 the the DT 63372 187 7 initial initial JJ 63372 187 8 impressions impression NNS 63372 187 9 of of IN 63372 187 10 two two CD 63372 187 11 or or CC 63372 187 12 three three CD 63372 187 13 or or CC 63372 187 14 five five CD 63372 187 15 judges judge NNS 63372 187 16 would would MD 63372 187 17 incline incline VB 63372 187 18 toward toward IN 63372 187 19 two two CD 63372 187 20 or or CC 63372 187 21 three three CD 63372 187 22 or or CC 63372 187 23 five five CD 63372 187 24 essays essay NNS 63372 187 25 , , , 63372 187 26 and and CC 63372 187 27 that that IN 63372 187 28 any any DT 63372 187 29 final final JJ 63372 187 30 decision decision NN 63372 187 31 would would MD 63372 187 32 be be VB 63372 187 33 attainable attainable JJ 63372 187 34 only only RB 63372 187 35 after after IN 63372 187 36 much much JJ 63372 187 37 consultation consultation NN 63372 187 38 and and CC 63372 187 39 discussion discussion NN 63372 187 40 . . . 63372 188 1 It -PRON- PRP 63372 188 2 seems seem VBZ 63372 188 3 to to IN 63372 188 4 us -PRON- PRP 63372 188 5 that that IN 63372 188 6 by by IN 63372 188 7 making make VBG 63372 188 8 the the DT 63372 188 9 committee committee NN 63372 188 10 as as RB 63372 188 11 small small JJ 63372 188 12 as as IN 63372 188 13 possible possible JJ 63372 188 14 while while IN 63372 188 15 still still RB 63372 188 16 preserving preserve VBG 63372 188 17 the the DT 63372 188 18 necessary necessary JJ 63372 188 19 feature feature NN 63372 188 20 that that WDT 63372 188 21 its -PRON- PRP$ 63372 188 22 decision decision NN 63372 188 23 represent represent VBP 63372 188 24 a a DT 63372 188 25 consensus consensus NN 63372 188 26 , , , 63372 188 27 we -PRON- PRP 63372 188 28 shall shall MD 63372 188 29 simplify simplify VB 63372 188 30 both both CC 63372 188 31 the the DT 63372 188 32 mental mental JJ 63372 188 33 and and CC 63372 188 34 the the DT 63372 188 35 physical physical JJ 63372 188 36 problem problem NN 63372 188 37 of of IN 63372 188 38 coming come VBG 63372 188 39 to to IN 63372 188 40 an an DT 63372 188 41 agreement agreement NN 63372 188 42 . . . 63372 189 1 We -PRON- PRP 63372 189 2 believe believe VBP 63372 189 3 that that IN 63372 189 4 the the DT 63372 189 5 award award NN 63372 189 6 should should MD 63372 189 7 if if IN 63372 189 8 possible possible JJ 63372 189 9 represent represent VBP 63372 189 10 a a DT 63372 189 11 unanimous unanimous JJ 63372 189 12 decision decision NN 63372 189 13 , , , 63372 189 14 without without IN 63372 189 15 any any DT 63372 189 16 minority minority NN 63372 189 17 report report NN 63372 189 18 , , , 63372 189 19 and and CC 63372 189 20 that that IN 63372 189 21 such such PDT 63372 189 22 a a DT 63372 189 23 requirement requirement NN 63372 189 24 is be VBZ 63372 189 25 far far RB 63372 189 26 more more RBR 63372 189 27 likely likely JJ 63372 189 28 to to TO 63372 189 29 be be VB 63372 189 30 met meet VBN 63372 189 31 among among IN 63372 189 32 two two CD 63372 189 33 men man NNS 63372 189 34 than than IN 63372 189 35 among among IN 63372 189 36 three three CD 63372 189 37 or or CC 63372 189 38 five five CD 63372 189 39 . . . 63372 190 1 At at IN 63372 190 2 the the DT 63372 190 3 same same JJ 63372 190 4 time time NN 63372 190 5 , , , 63372 190 6 the the DT 63372 190 7 bringing bringing NN 63372 190 8 together together RB 63372 190 9 of of IN 63372 190 10 two two CD 63372 190 11 men man NNS 63372 190 12 and and CC 63372 190 13 the the DT 63372 190 14 details detail NNS 63372 190 15 of of IN 63372 190 16 general general JJ 63372 190 17 administration administration NN 63372 190 18 of of IN 63372 190 19 their -PRON- PRP$ 63372 190 20 work work NN 63372 190 21 together together RB 63372 190 22 are be VBP 63372 190 23 far far RB 63372 190 24 simpler simple JJR 63372 190 25 than than IN 63372 190 26 if if IN 63372 190 27 there there EX 63372 190 28 were be VBD 63372 190 29 three three CD 63372 190 30 or or CC 63372 190 31 five five CD 63372 190 32 . . . 63372 191 1 So so RB 63372 191 2 we -PRON- PRP 63372 191 3 have have VBP 63372 191 4 finally finally RB 63372 191 5 decided decide VBN 63372 191 6 to to TO 63372 191 7 have have VB 63372 191 8 but but CC 63372 191 9 two two CD 63372 191 10 judges judge NNS 63372 191 11 , , , 63372 191 12 and and CC 63372 191 13 in in IN 63372 191 14 this this DT 63372 191 15 we -PRON- PRP 63372 191 16 have have VBP 63372 191 17 the the DT 63372 191 18 endorsement endorsement NN 63372 191 19 of of IN 63372 191 20 all all PDT 63372 191 21 the the DT 63372 191 22 competent competent JJ 63372 191 23 opinion opinion NN 63372 191 24 that that IN 63372 191 25 we -PRON- PRP 63372 191 26 have have VBP 63372 191 27 consulted consult VBN 63372 191 28 . . . 63372 192 1 " " `` 63372 192 2 The the DT 63372 192 3 gentlemen gentleman NNS 63372 192 4 who who WP 63372 192 5 have have VBP 63372 192 6 consented consent VBN 63372 192 7 to to TO 63372 192 8 act act VB 63372 192 9 as as IN 63372 192 10 Judges judge NNS 63372 192 11 are be VBP 63372 192 12 Professors Professors NNPS 63372 192 13 Leigh Leigh NNP 63372 192 14 Page Page NNP 63372 192 15 and and CC 63372 192 16 Edwin Edwin NNP 63372 192 17 Plimpton Plimpton NNP 63372 192 18 Adams Adams NNP 63372 192 19 , , , 63372 192 20 of of IN 63372 192 21 the the DT 63372 192 22 departments department NNS 63372 192 23 of of IN 63372 192 24 physics physics NN 63372 192 25 of of IN 63372 192 26 Yale Yale NNP 63372 192 27 and and CC 63372 192 28 Princeton Princeton NNP 63372 192 29 Universities Universities NNPS 63372 192 30 , , , 63372 192 31 respectively respectively RB 63372 192 32 . . . 63372 193 1 Both both DT 63372 193 2 are be VBP 63372 193 3 of of IN 63372 193 4 the the DT 63372 193 5 younger young JJR 63372 193 6 generation generation NN 63372 193 7 of of IN 63372 193 8 physicists physicist NNS 63372 193 9 that that WDT 63372 193 10 has have VBZ 63372 193 11 paid pay VBN 63372 193 12 special special JJ 63372 193 13 attention attention NN 63372 193 14 to to IN 63372 193 15 those those DT 63372 193 16 phases phase NNS 63372 193 17 of of IN 63372 193 18 mathematics mathematic NNS 63372 193 19 and and CC 63372 193 20 physics physics NN 63372 193 21 involved involve VBN 63372 193 22 in in IN 63372 193 23 the the DT 63372 193 24 Einstein Einstein NNP 63372 193 25 theories theory NNS 63372 193 26 , , , 63372 193 27 and and CC 63372 193 28 both both DT 63372 193 29 have have VBP 63372 193 30 paid pay VBN 63372 193 31 special special JJ 63372 193 32 attention attention NN 63372 193 33 to to IN 63372 193 34 these these DT 63372 193 35 theories theory NNS 63372 193 36 themselves -PRON- PRP 63372 193 37 . . . 63372 194 1 We -PRON- PRP 63372 194 2 are be VBP 63372 194 3 gratified gratified JJ 63372 194 4 to to TO 63372 194 5 be be VB 63372 194 6 able able JJ 63372 194 7 to to TO 63372 194 8 put put VB 63372 194 9 forward forward RB 63372 194 10 as as IN 63372 194 11 Judges judge NNS 63372 194 12 two two CD 63372 194 13 men man NNS 63372 194 14 so so RB 63372 194 15 eminently eminently RB 63372 194 16 qualified qualify VBD 63372 194 17 to to TO 63372 194 18 act act VB 63372 194 19 . . . 63372 195 1 We -PRON- PRP 63372 195 2 feel feel VBP 63372 195 3 that that IN 63372 195 4 we -PRON- PRP 63372 195 5 may may MD 63372 195 6 here here RB 63372 195 7 appropriately appropriately RB 63372 195 8 quote quote VB 63372 195 9 Professor Professor NNP 63372 195 10 Page Page NNP 63372 195 11 , , , 63372 195 12 who who WP 63372 195 13 says say VBZ 63372 195 14 in in IN 63372 195 15 his -PRON- PRP$ 63372 195 16 acceptance acceptance NN 63372 195 17 : : : 63372 195 18 ' ' `` 63372 195 19 As as IN 63372 195 20 the the DT 63372 195 21 large large JJ 63372 195 22 prize prize NN 63372 195 23 offers offer VBZ 63372 195 24 a a DT 63372 195 25 great great JJ 63372 195 26 inducement inducement NN 63372 195 27 , , , 63372 195 28 I -PRON- PRP 63372 195 29 had have VBD 63372 195 30 thought think VBN 63372 195 31 of of IN 63372 195 32 entering enter VBG 63372 195 33 the the DT 63372 195 34 contest contest NN 63372 195 35 . . . 63372 196 1 However however RB 63372 196 2 I -PRON- PRP 63372 196 3 realize realize VBP 63372 196 4 that that IN 63372 196 5 not not RB 63372 196 6 many many JJ 63372 196 7 people people NNS 63372 196 8 in in IN 63372 196 9 this this DT 63372 196 10 country country NN 63372 196 11 have have VBP 63372 196 12 made make VBN 63372 196 13 a a DT 63372 196 14 considerable considerable JJ 63372 196 15 study study NN 63372 196 16 of of IN 63372 196 17 Einstein Einstein NNP 63372 196 18 's 's POS 63372 196 19 theory theory NN 63372 196 20 , , , 63372 196 21 and and CC 63372 196 22 if if IN 63372 196 23 all all DT 63372 196 24 who who WP 63372 196 25 have have VBP 63372 196 26 should should MD 63372 196 27 enter enter VB 63372 196 28 the the DT 63372 196 29 contest contest NN 63372 196 30 , , , 63372 196 31 it -PRON- PRP 63372 196 32 would would MD 63372 196 33 be be VB 63372 196 34 difficult difficult JJ 63372 196 35 to to TO 63372 196 36 secure secure VB 63372 196 37 suitable suitable JJ 63372 196 38 Judges Judges NNPS 63372 196 39 . . . 63372 196 40 ' ' '' 63372 197 1 Without without IN 63372 197 2 any any DT 63372 197 3 desire desire NN 63372 197 4 to to TO 63372 197 5 put put VB 63372 197 6 the the DT 63372 197 7 gentleman gentleman NN 63372 197 8 in in IN 63372 197 9 the the DT 63372 197 10 position position NN 63372 197 11 of of IN 63372 197 12 pleading plead VBG 63372 197 13 for for IN 63372 197 14 himself -PRON- PRP 63372 197 15 , , , 63372 197 16 we -PRON- PRP 63372 197 17 think think VBP 63372 197 18 this this DT 63372 197 19 suggests suggest VBZ 63372 197 20 very very RB 63372 197 21 well well RB 63372 197 22 the the DT 63372 197 23 extent extent NN 63372 197 24 to to TO 63372 197 25 which which WDT 63372 197 26 the the DT 63372 197 27 Scientific Scientific NNP 63372 197 28 American American NNP 63372 197 29 , , , 63372 197 30 the the DT 63372 197 31 contestants contestant NNS 63372 197 32 , , , 63372 197 33 and and CC 63372 197 34 the the DT 63372 197 35 public public NN 63372 197 36 at at IN 63372 197 37 large large JJ 63372 197 38 , , , 63372 197 39 are be VBP 63372 197 40 indebted indebted JJ 63372 197 41 to to IN 63372 197 42 Professors Professors NNPS 63372 197 43 Page Page NNP 63372 197 44 and and CC 63372 197 45 Adams Adams NNP 63372 197 46 for for IN 63372 197 47 their -PRON- PRP$ 63372 197 48 willingness willingness NN 63372 197 49 to to TO 63372 197 50 serve serve VB 63372 197 51 in in IN 63372 197 52 the the DT 63372 197 53 difficult difficult JJ 63372 197 54 capacity capacity NN 63372 197 55 of of IN 63372 197 56 Judges judge NNS 63372 197 57 . . . 63372 197 58 " " '' 63372 198 1 It -PRON- PRP 63372 198 2 might may MD 63372 198 3 appropriately appropriately RB 63372 198 4 have have VB 63372 198 5 been be VBN 63372 198 6 added add VBN 63372 198 7 to to IN 63372 198 8 this this DT 63372 198 9 announcement announcement NN 63372 198 10 that that IN 63372 198 11 it -PRON- PRP 63372 198 12 was be VBD 63372 198 13 altogether altogether RB 63372 198 14 to to IN 63372 198 15 the the DT 63372 198 16 credit credit NN 63372 198 17 of of IN 63372 198 18 science science NN 63372 198 19 and and CC 63372 198 20 the the DT 63372 198 21 scientific scientific JJ 63372 198 22 spirit spirit NN 63372 198 23 that that WDT 63372 198 24 the the DT 63372 198 25 first first JJ 63372 198 26 two two CD 63372 198 27 gentlemen gentleman NNS 63372 198 28 approached approach VBN 63372 198 29 with with IN 63372 198 30 the the DT 63372 198 31 invitation invitation NN 63372 198 32 to to TO 63372 198 33 act act VB 63372 198 34 as as IN 63372 198 35 Judges judge NNS 63372 198 36 were be VBD 63372 198 37 willing willing JJ 63372 198 38 to to TO 63372 198 39 forego forego VB 63372 198 40 their -PRON- PRP$ 63372 198 41 prospects prospect NNS 63372 198 42 as as IN 63372 198 43 contestants contestant NNS 63372 198 44 in in IN 63372 198 45 order order NN 63372 198 46 thus thus RB 63372 198 47 to to TO 63372 198 48 contribute contribute VB 63372 198 49 to to IN 63372 198 50 the the DT 63372 198 51 success success NN 63372 198 52 of of IN 63372 198 53 the the DT 63372 198 54 contest contest NN 63372 198 55 . . . 63372 199 1 THREE three CD 63372 199 2 THOUSAND thousand CD 63372 199 3 WORDS word NNS 63372 199 4 Of of IN 63372 199 5 the the DT 63372 199 6 conditions condition NNS 63372 199 7 , , , 63372 199 8 the the DT 63372 199 9 one one NN 63372 199 10 which which WDT 63372 199 11 evoked evoke VBD 63372 199 12 most most JJS 63372 199 13 comment comment NN 63372 199 14 was be VBD 63372 199 15 that that IN 63372 199 16 stating state VBG 63372 199 17 the the DT 63372 199 18 word word NN 63372 199 19 limit limit NN 63372 199 20 . . . 63372 200 1 This this DT 63372 200 2 limit limit NN 63372 200 3 was be VBD 63372 200 4 decided decide VBN 63372 200 5 upon upon IN 63372 200 6 after after IN 63372 200 7 the the DT 63372 200 8 most most RBS 63372 200 9 careful careful JJ 63372 200 10 discussion discussion NN 63372 200 11 of of IN 63372 200 12 the the DT 63372 200 13 possibilities possibility NNS 63372 200 14 of of IN 63372 200 15 the the DT 63372 200 16 situation situation NN 63372 200 17 . . . 63372 201 1 It -PRON- PRP 63372 201 2 was be VBD 63372 201 3 not not RB 63372 201 4 imagined imagine VBN 63372 201 5 for for IN 63372 201 6 a a DT 63372 201 7 moment moment NN 63372 201 8 that that IN 63372 201 9 any any DT 63372 201 10 contestant contestant NN 63372 201 11 would would MD 63372 201 12 succeed succeed VB 63372 201 13 in in IN 63372 201 14 getting get VBG 63372 201 15 within within IN 63372 201 16 3,000 3,000 CD 63372 201 17 words word NNS 63372 201 18 a a DT 63372 201 19 complete complete JJ 63372 201 20 discussion discussion NN 63372 201 21 of of IN 63372 201 22 all all DT 63372 201 23 aspects aspect NNS 63372 201 24 of of IN 63372 201 25 the the DT 63372 201 26 Special Special NNP 63372 201 27 and and CC 63372 201 28 the the DT 63372 201 29 General General NNP 63372 201 30 Theories Theories NNPS 63372 201 31 of of IN 63372 201 32 Relativity Relativity NNP 63372 201 33 . . . 63372 202 1 It -PRON- PRP 63372 202 2 was be VBD 63372 202 3 however however RB 63372 202 4 felt feel VBN 63372 202 5 that that IN 63372 202 6 for for IN 63372 202 7 popular popular JJ 63372 202 8 reading read VBG 63372 202 9 a a DT 63372 202 10 single single JJ 63372 202 11 essay essay NN 63372 202 12 should should MD 63372 202 13 not not RB 63372 202 14 be be VB 63372 202 15 much much JJ 63372 202 16 if if IN 63372 202 17 any any RB 63372 202 18 longer long JJR 63372 202 19 than than IN 63372 202 20 this this DT 63372 202 21 . . . 63372 203 1 Moreover moreover RB 63372 203 2 , , , 63372 203 3 I -PRON- PRP 63372 203 4 will will MD 63372 203 5 say say VB 63372 203 6 quite quite RB 63372 203 7 frankly frankly RB 63372 203 8 that that IN 63372 203 9 we -PRON- PRP 63372 203 10 should should MD 63372 203 11 never never RB 63372 203 12 have have VB 63372 203 13 encouraged encourage VBN 63372 203 14 Mr. Mr. NNP 63372 203 15 Higgins Higgins NNP 63372 203 16 to to TO 63372 203 17 offer offer VB 63372 203 18 such such PDT 63372 203 19 a a DT 63372 203 20 prize prize NN 63372 203 21 if if IN 63372 203 22 we -PRON- PRP 63372 203 23 had have VBD 63372 203 24 supposed suppose VBN 63372 203 25 that that IN 63372 203 26 the the DT 63372 203 27 winning win VBG 63372 203 28 essay essay NN 63372 203 29 was be VBD 63372 203 30 the the DT 63372 203 31 only only JJ 63372 203 32 thing thing NN 63372 203 33 of of IN 63372 203 34 value value NN 63372 203 35 that that WDT 63372 203 36 would would MD 63372 203 37 come come VB 63372 203 38 from from IN 63372 203 39 the the DT 63372 203 40 contest contest NN 63372 203 41 , , , 63372 203 42 or or CC 63372 203 43 if if IN 63372 203 44 we -PRON- PRP 63372 203 45 had have VBD 63372 203 46 not not RB 63372 203 47 expected expect VBN 63372 203 48 to to TO 63372 203 49 find find VB 63372 203 50 in in IN 63372 203 51 many many JJ 63372 203 52 of of IN 63372 203 53 the the DT 63372 203 54 other other JJ 63372 203 55 essays essay NNS 63372 203 56 material material NN 63372 203 57 which which WDT 63372 203 58 would would MD 63372 203 59 be be VB 63372 203 60 altogether altogether RB 63372 203 61 deserving deserving JJ 63372 203 62 of of IN 63372 203 63 the the DT 63372 203 64 light light NN 63372 203 65 . . . 63372 204 1 From from IN 63372 204 2 the the DT 63372 204 3 beginning beginning NN 63372 204 4 we -PRON- PRP 63372 204 5 had have VBD 63372 204 6 in in IN 63372 204 7 view view NN 63372 204 8 the the DT 63372 204 9 present present JJ 63372 204 10 volume volume NN 63372 204 11 , , , 63372 204 12 and and CC 63372 204 13 the the DT 63372 204 14 severe severe JJ 63372 204 15 restriction restriction NN 63372 204 16 in in IN 63372 204 17 length length NN 63372 204 18 was be VBD 63372 204 19 deliberately deliberately RB 63372 204 20 imposed impose VBN 63372 204 21 for for IN 63372 204 22 the the DT 63372 204 23 purpose purpose NN 63372 204 24 of of IN 63372 204 25 forcing force VBG 63372 204 26 every every DT 63372 204 27 contestant contestant NN 63372 204 28 to to TO 63372 204 29 stick stick VB 63372 204 30 to to IN 63372 204 31 what what WP 63372 204 32 he -PRON- PRP 63372 204 33 considered consider VBD 63372 204 34 the the DT 63372 204 35 most most RBS 63372 204 36 significant significant JJ 63372 204 37 viewpoints viewpoint NNS 63372 204 38 , , , 63372 204 39 and and CC 63372 204 40 to to TO 63372 204 41 give give VB 63372 204 42 his -PRON- PRP$ 63372 204 43 best good JJS 63372 204 44 skill skill NN 63372 204 45 to to IN 63372 204 46 displaying display VBG 63372 204 47 the the DT 63372 204 48 theories theory NNS 63372 204 49 of of IN 63372 204 50 Einstein Einstein NNP 63372 204 51 to to IN 63372 204 52 the the DT 63372 204 53 utmost utmost JJ 63372 204 54 advantage advantage NN 63372 204 55 from from IN 63372 204 56 these these DT 63372 204 57 viewpoints viewpoint NNS 63372 204 58 . . . 63372 205 1 We -PRON- PRP 63372 205 2 felt feel VBD 63372 205 3 that that IN 63372 205 4 divergent divergent JJ 63372 205 5 viewpoints viewpoint NNS 63372 205 6 would would MD 63372 205 7 be be VB 63372 205 8 more more RBR 63372 205 9 advantageously advantageously RB 63372 205 10 treated treat VBN 63372 205 11 in in IN 63372 205 12 this this DT 63372 205 13 manner manner NN 63372 205 14 than than IN 63372 205 15 if if IN 63372 205 16 we -PRON- PRP 63372 205 17 gave give VBD 63372 205 18 each each DT 63372 205 19 contestant contestant JJ 63372 205 20 enough enough JJ 63372 205 21 space space NN 63372 205 22 to to TO 63372 205 23 discuss discuss VB 63372 205 24 the the DT 63372 205 25 subject subject NN 63372 205 26 from from IN 63372 205 27 all all DT 63372 205 28 sides side NNS 63372 205 29 ; ; : 63372 205 30 and and CC 63372 205 31 that that IN 63372 205 32 the the DT 63372 205 33 award award NN 63372 205 34 of of IN 63372 205 35 the the DT 63372 205 36 prize prize NN 63372 205 37 to to IN 63372 205 38 the the DT 63372 205 39 essay essay NN 63372 205 40 which which WDT 63372 205 41 , , , 63372 205 42 among among IN 63372 205 43 other other JJ 63372 205 44 requirements requirement NNS 63372 205 45 , , , 63372 205 46 seemed seem VBD 63372 205 47 to to IN 63372 205 48 the the DT 63372 205 49 Judges Judges NNPS 63372 205 50 to to TO 63372 205 51 embody embody VB 63372 205 52 the the DT 63372 205 53 best good JJS 63372 205 54 choice choice NN 63372 205 55 of of IN 63372 205 56 material material NN 63372 205 57 , , , 63372 205 58 would would MD 63372 205 59 greatly greatly RB 63372 205 60 simplify simplify VB 63372 205 61 the the DT 63372 205 62 working working NN 63372 205 63 of of IN 63372 205 64 the the DT 63372 205 65 contest contest NN 63372 205 66 without without IN 63372 205 67 effecting effect VBG 63372 205 68 any any DT 63372 205 69 injustice injustice NN 63372 205 70 against against IN 63372 205 71 those those DT 63372 205 72 contestants contestant NNS 63372 205 73 who who WP 63372 205 74 displayed display VBD 63372 205 75 with with IN 63372 205 76 equal equal JJ 63372 205 77 skill skill NN 63372 205 78 less less RBR 63372 205 79 happily happily RB 63372 205 80 chosen choose VBN 63372 205 81 material material NN 63372 205 82 . . . 63372 206 1 Perhaps perhaps RB 63372 206 2 on on IN 63372 206 3 this this DT 63372 206 4 point point NN 63372 206 5 I -PRON- PRP 63372 206 6 may may MD 63372 206 7 again again RB 63372 206 8 quote quote VB 63372 206 9 with with IN 63372 206 10 profit profit NN 63372 206 11 the the DT 63372 206 12 editorial editorial JJ 63372 206 13 page page NN 63372 206 14 of of IN 63372 206 15 the the DT 63372 206 16 Scientific scientific JJ 63372 206 17 American American NNP 63372 206 18 : : : 63372 206 19 " " `` 63372 206 20 An an DT 63372 206 21 essay essay NN 63372 206 22 of of IN 63372 206 23 three three CD 63372 206 24 thousand thousand CD 63372 206 25 words word NNS 63372 206 26 is be VBZ 63372 206 27 not not RB 63372 206 28 long long JJ 63372 206 29 enough enough RB 63372 206 30 to to TO 63372 206 31 lose lose VB 63372 206 32 a a DT 63372 206 33 reader reader NN 63372 206 34 more more RBR 63372 206 35 than than IN 63372 206 36 once once RB 63372 206 37 ; ; : 63372 206 38 if if IN 63372 206 39 it -PRON- PRP 63372 206 40 does do VBZ 63372 206 41 lose lose VB 63372 206 42 him -PRON- PRP 63372 206 43 it -PRON- PRP 63372 206 44 is be VBZ 63372 206 45 a a DT 63372 206 46 failure failure NN 63372 206 47 , , , 63372 206 48 and and CC 63372 206 49 if if IN 63372 206 50 it -PRON- PRP 63372 206 51 does do VBZ 63372 206 52 n't not RB 63372 206 53 it -PRON- PRP 63372 206 54 is be VBZ 63372 206 55 a a DT 63372 206 56 competitor competitor NN 63372 206 57 that that WDT 63372 206 58 will will MD 63372 206 59 go go VB 63372 206 60 into into IN 63372 206 61 the the DT 63372 206 62 final final JJ 63372 206 63 elimination elimination NN 63372 206 64 trials trial NNS 63372 206 65 for for IN 63372 206 66 the the DT 63372 206 67 prize prize NN 63372 206 68 . . . 63372 207 1 If if IN 63372 207 2 we -PRON- PRP 63372 207 3 can can MD 63372 207 4 present present VB 63372 207 5 , , , 63372 207 6 as as IN 63372 207 7 a a DT 63372 207 8 result result NN 63372 207 9 of of IN 63372 207 10 the the DT 63372 207 11 contest contest NN 63372 207 12 , , , 63372 207 13 six six CD 63372 207 14 or or CC 63372 207 15 a a DT 63372 207 16 dozen dozen NN 63372 207 17 essays essay NNS 63372 207 18 of of IN 63372 207 19 this this DT 63372 207 20 length length NN 63372 207 21 that that WDT 63372 207 22 will will MD 63372 207 23 not not RB 63372 207 24 lose lose VB 63372 207 25 the the DT 63372 207 26 lay lay JJ 63372 207 27 reader reader NN 63372 207 28 at at RB 63372 207 29 all all RB 63372 207 30 , , , 63372 207 31 we -PRON- PRP 63372 207 32 shall shall MD 63372 207 33 have have VB 63372 207 34 produced produce VBN 63372 207 35 something something NN 63372 207 36 amply amply JJ 63372 207 37 worth worth JJ 63372 207 38 the the DT 63372 207 39 expenditure expenditure NN 63372 207 40 of of IN 63372 207 41 Mr. Mr. NNP 63372 207 42 Higgins Higgins NNP 63372 207 43 ' ' POS 63372 207 44 money money NN 63372 207 45 and and CC 63372 207 46 our -PRON- PRP$ 63372 207 47 time time NN 63372 207 48 . . . 63372 208 1 For for IN 63372 208 2 such such PDT 63372 208 3 a a DT 63372 208 4 number number NN 63372 208 5 of of IN 63372 208 6 essays essay NNS 63372 208 7 of of IN 63372 208 8 such such JJ 63372 208 9 character character NN 63372 208 10 will will MD 63372 208 11 of of IN 63372 208 12 necessity necessity NN 63372 208 13 present present VB 63372 208 14 many many JJ 63372 208 15 different different JJ 63372 208 16 aspects aspect NNS 63372 208 17 of of IN 63372 208 18 the the DT 63372 208 19 Einstein Einstein NNP 63372 208 20 theories theory NNS 63372 208 21 , , , 63372 208 22 and and CC 63372 208 23 in in IN 63372 208 24 many many JJ 63372 208 25 different different JJ 63372 208 26 ways way NNS 63372 208 27 , , , 63372 208 28 and and CC 63372 208 29 in in IN 63372 208 30 doing do VBG 63372 208 31 so so RB 63372 208 32 will will MD 63372 208 33 contribute contribute VB 63372 208 34 greatly greatly RB 63372 208 35 to to IN 63372 208 36 the the DT 63372 208 37 popular popular JJ 63372 208 38 enlightenment enlightenment NN 63372 208 39 . . . 63372 209 1 " " `` 63372 209 2 Really really RB 63372 209 3 the the DT 63372 209 4 significant significant JJ 63372 209 5 part part NN 63372 209 6 of of IN 63372 209 7 what what WP 63372 209 8 has have VBZ 63372 209 9 already already RB 63372 209 10 appeared appear VBN 63372 209 11 is be VBZ 63372 209 12 not not RB 63372 209 13 the the DT 63372 209 14 part part NN 63372 209 15 that that WDT 63372 209 16 is be VBZ 63372 209 17 intelligible intelligible JJ 63372 209 18 , , , 63372 209 19 but but CC 63372 209 20 rather rather RB 63372 209 21 the the DT 63372 209 22 part part NN 63372 209 23 that that WDT 63372 209 24 , , , 63372 209 25 being be VBG 63372 209 26 unintelligible unintelligible JJ 63372 209 27 , , , 63372 209 28 casts cast VBZ 63372 209 29 the the DT 63372 209 30 shadow shadow NN 63372 209 31 of of IN 63372 209 32 doubt doubt NN 63372 209 33 and and CC 63372 209 34 suspicion suspicion NN 63372 209 35 on on IN 63372 209 36 the the DT 63372 209 37 whole whole NN 63372 209 38 . . . 63372 210 1 The the DT 63372 210 2 successful successful JJ 63372 210 3 competitor competitor NN 63372 210 4 for for IN 63372 210 5 the the DT 63372 210 6 prize prize NN 63372 210 7 and and CC 63372 210 8 his -PRON- PRP$ 63372 210 9 close close JJ 63372 210 10 contestants contestant NNS 63372 210 11 will will MD 63372 210 12 have have VB 63372 210 13 written write VBN 63372 210 14 essays essay NNS 63372 210 15 that that IN 63372 210 16 , , , 63372 210 17 without without IN 63372 210 18 any any DT 63372 210 19 claim claim NN 63372 210 20 to to TO 63372 210 21 completeness completeness VB 63372 210 22 , , , 63372 210 23 will will MD 63372 210 24 emphasize emphasize VB 63372 210 25 what what WP 63372 210 26 seems seem VBZ 63372 210 27 to to IN 63372 210 28 each each DT 63372 210 29 author author NN 63372 210 30 the the DT 63372 210 31 big big JJ 63372 210 32 outstanding outstanding JJ 63372 210 33 feature feature NN 63372 210 34 ; ; : 63372 210 35 and and CC 63372 210 36 every every DT 63372 210 37 one one CD 63372 210 38 of of IN 63372 210 39 them -PRON- PRP 63372 210 40 will will MD 63372 210 41 be be VB 63372 210 42 intelligible intelligible JJ 63372 210 43 . . . 63372 211 1 Together together RB 63372 211 2 they -PRON- PRP 63372 211 3 will will MD 63372 211 4 in in IN 63372 211 5 all all DT 63372 211 6 probability probability NN 63372 211 7 be be VB 63372 211 8 reasonably reasonably RB 63372 211 9 complete complete JJ 63372 211 10 , , , 63372 211 11 and and CC 63372 211 12 will will MD 63372 211 13 retain retain VB 63372 211 14 the the DT 63372 211 15 individual individual JJ 63372 211 16 characteristic characteristic NN 63372 211 17 of of IN 63372 211 18 intelligibility intelligibility NN 63372 211 19 . . . 63372 212 1 They -PRON- PRP 63372 212 2 will will MD 63372 212 3 approach approach VB 63372 212 4 the the DT 63372 212 5 various various JJ 63372 212 6 parts part NNS 63372 212 7 of of IN 63372 212 8 the the DT 63372 212 9 field field NN 63372 212 10 from from IN 63372 212 11 various various JJ 63372 212 12 directions direction NNS 63372 212 13 -- -- : 63372 212 14 we -PRON- PRP 63372 212 15 could could MD 63372 212 16 fill fill VB 63372 212 17 this this DT 63372 212 18 page page NN 63372 212 19 with with IN 63372 212 20 suggestions suggestion NNS 63372 212 21 as as IN 63372 212 22 to to IN 63372 212 23 how how WRB 63372 212 24 the the DT 63372 212 25 one one CD 63372 212 26 item item NN 63372 212 27 of of IN 63372 212 28 the the DT 63372 212 29 four four CD 63372 212 30 - - HYPH 63372 212 31 dimensional dimensional JJ 63372 212 32 character character NN 63372 212 33 of of IN 63372 212 34 Einstein Einstein NNP 63372 212 35 's 's POS 63372 212 36 time time NN 63372 212 37 - - HYPH 63372 212 38 space space NN 63372 212 39 might may MD 63372 212 40 be be VB 63372 212 41 set set VBN 63372 212 42 forth forth RP 63372 212 43 for for IN 63372 212 44 the the DT 63372 212 45 general general JJ 63372 212 46 reader reader NN 63372 212 47 . . . 63372 213 1 And and CC 63372 213 2 when when WRB 63372 213 3 a a DT 63372 213 4 man man NN 63372 213 5 must must MD 63372 213 6 say say VB 63372 213 7 in in IN 63372 213 8 three three CD 63372 213 9 thousand thousand CD 63372 213 10 words word NNS 63372 213 11 as as RB 63372 213 12 much much RB 63372 213 13 as as IN 63372 213 14 he -PRON- PRP 63372 213 15 can can MD 63372 213 16 of of IN 63372 213 17 what what WP 63372 213 18 eminent eminent JJ 63372 213 19 scientists scientist NNS 63372 213 20 have have VBP 63372 213 21 said say VBN 63372 213 22 in in IN 63372 213 23 whole whole JJ 63372 213 24 volumes volume NNS 63372 213 25 -- -- : 63372 213 26 well well UH 63372 213 27 , , , 63372 213 28 the the DT 63372 213 29 result result NN 63372 213 30 in in IN 63372 213 31 some some DT 63372 213 32 cases case NNS 63372 213 33 will will MD 63372 213 34 be be VB 63372 213 35 sheer sheer JJ 63372 213 36 failure failure NN 63372 213 37 , , , 63372 213 38 and and CC 63372 213 39 in in IN 63372 213 40 others other NNS 63372 213 41 a a DT 63372 213 42 product product NN 63372 213 43 of of IN 63372 213 44 the the DT 63372 213 45 first first JJ 63372 213 46 water water NN 63372 213 47 . . . 63372 214 1 The the DT 63372 214 2 best good JJS 63372 214 3 of of IN 63372 214 4 the the DT 63372 214 5 essays essay NNS 63372 214 6 will will MD 63372 214 7 shine shine VB 63372 214 8 through through IN 63372 214 9 intelligent intelligent JJ 63372 214 10 selection selection NN 63372 214 11 of of IN 63372 214 12 what what WP 63372 214 13 is be VBZ 63372 214 14 to to TO 63372 214 15 be be VB 63372 214 16 said say VBN 63372 214 17 , , , 63372 214 18 and and CC 63372 214 19 brilliant brilliant JJ 63372 214 20 success success NN 63372 214 21 in in IN 63372 214 22 saying say VBG 63372 214 23 it -PRON- PRP 63372 214 24 . . . 63372 215 1 It -PRON- PRP 63372 215 2 is be VBZ 63372 215 3 to to TO 63372 215 4 get get VB 63372 215 5 a a DT 63372 215 6 group group NN 63372 215 7 of of IN 63372 215 8 essays essay NNS 63372 215 9 of of IN 63372 215 10 this this DT 63372 215 11 character character NN 63372 215 12 , , , 63372 215 13 not not RB 63372 215 14 to to TO 63372 215 15 get get VB 63372 215 16 the the DT 63372 215 17 single single JJ 63372 215 18 essay essay NN 63372 215 19 which which WDT 63372 215 20 will will MD 63372 215 21 earn earn VB 63372 215 22 the the DT 63372 215 23 palm palm NN 63372 215 24 , , , 63372 215 25 that that IN 63372 215 26 the the DT 63372 215 27 prize prize NN 63372 215 28 is be VBZ 63372 215 29 offered offer VBN 63372 215 30 . . . 63372 215 31 " " '' 63372 216 1 THE the DT 63372 216 2 COMPETING competing NN 63372 216 3 ESSAYS essay NNS 63372 216 4 At at IN 63372 216 5 all all DT 63372 216 6 times time NNS 63372 216 7 after after IN 63372 216 8 the the DT 63372 216 9 first first JJ 63372 216 10 announcement announcement NN 63372 216 11 the the DT 63372 216 12 Einstein Einstein NNP 63372 216 13 Editor Editor NNP 63372 216 14 had have VBD 63372 216 15 a a DT 63372 216 16 heavy heavy JJ 63372 216 17 correspondence correspondence NN 63372 216 18 ; ; : 63372 216 19 but but CC 63372 216 20 the the DT 63372 216 21 first first JJ 63372 216 22 real real JJ 63372 216 23 evidence evidence NN 63372 216 24 that that IN 63372 216 25 the the DT 63372 216 26 contest contest NN 63372 216 27 was be VBD 63372 216 28 under under IN 63372 216 29 way way NN 63372 216 30 came come VBD 63372 216 31 with with IN 63372 216 32 the the DT 63372 216 33 arrival arrival NN 63372 216 34 of of IN 63372 216 35 the the DT 63372 216 36 first first JJ 63372 216 37 essay essay NNP 63372 216 38 , , , 63372 216 39 which which WDT 63372 216 40 wandered wander VBD 63372 216 41 into into IN 63372 216 42 our -PRON- PRP$ 63372 216 43 office office NN 63372 216 44 in in IN 63372 216 45 the the DT 63372 216 46 middle middle NN 63372 216 47 of of IN 63372 216 48 September September NNP 63372 216 49 . . . 63372 217 1 About about RB 63372 217 2 a a DT 63372 217 3 week week NN 63372 217 4 later later RB 63372 217 5 they -PRON- PRP 63372 217 6 began begin VBD 63372 217 7 to to TO 63372 217 8 filter filter VB 63372 217 9 in in RP 63372 217 10 at at IN 63372 217 11 the the DT 63372 217 12 rate rate NN 63372 217 13 of of IN 63372 217 14 one one CD 63372 217 15 or or CC 63372 217 16 two two CD 63372 217 17 per per IN 63372 217 18 day day NN 63372 217 19 -- -- : 63372 217 20 mostly mostly RB 63372 217 21 from from IN 63372 217 22 foreign foreign JJ 63372 217 23 contestants contestant NNS 63372 217 24 who who WP 63372 217 25 were be VBD 63372 217 26 taking take VBG 63372 217 27 no no DT 63372 217 28 chances chance NNS 63372 217 29 on on IN 63372 217 30 the the DT 63372 217 31 mails mail NNS 63372 217 32 . . . 63372 218 1 Heavy heavy JJ 63372 218 2 returns return NNS 63372 218 3 did do VBD 63372 218 4 not not RB 63372 218 5 commence commence VB 63372 218 6 until until IN 63372 218 7 about about RB 63372 218 8 ten ten CD 63372 218 9 days day NNS 63372 218 10 before before IN 63372 218 11 the the DT 63372 218 12 closing closing NN 63372 218 13 date date NN 63372 218 14 . . . 63372 219 1 The the DT 63372 219 2 great great JJ 63372 219 3 avalanche avalanche NN 63372 219 4 , , , 63372 219 5 however however RB 63372 219 6 , , , 63372 219 7 was be VBD 63372 219 8 reserved reserve VBN 63372 219 9 for for IN 63372 219 10 the the DT 63372 219 11 morning morning NN 63372 219 12 of of IN 63372 219 13 Monday Monday NNP 63372 219 14 , , , 63372 219 15 November November NNP 63372 219 16 1st 1st NN 63372 219 17 . . . 63372 220 1 Here here RB 63372 220 2 we -PRON- PRP 63372 220 3 had have VBD 63372 220 4 the the DT 63372 220 5 benefit benefit NN 63372 220 6 of of IN 63372 220 7 three three CD 63372 220 8 days day NNS 63372 220 9 ' ' POS 63372 220 10 mail mail NN 63372 220 11 ; ; : 63372 220 12 there there EX 63372 220 13 were be VBD 63372 220 14 about about RB 63372 220 15 120 120 CD 63372 220 16 essays essay NNS 63372 220 17 . . . 63372 221 1 Among among IN 63372 221 2 those those DT 63372 221 3 which which WDT 63372 221 4 were be VBD 63372 221 5 thrown throw VBN 63372 221 6 out out RP 63372 221 7 on on IN 63372 221 8 the the DT 63372 221 9 ground ground NN 63372 221 10 of of IN 63372 221 11 lateness lateness NN 63372 221 12 the the DT 63372 221 13 honors honor NNS 63372 221 14 should should MD 63372 221 15 no no RB 63372 221 16 doubt doubt RB 63372 221 17 go go VB 63372 221 18 to to IN 63372 221 19 the the DT 63372 221 20 man man NN 63372 221 21 who who WP 63372 221 22 mailed mail VBD 63372 221 23 his -PRON- PRP$ 63372 221 24 offering offering NN 63372 221 25 in in IN 63372 221 26 The the DT 63372 221 27 Hague Hague NNP 63372 221 28 on on IN 63372 221 29 October October NNP 63372 221 30 31st 31st NN 63372 221 31 . . . 63372 222 1 Essays essay NNS 63372 222 2 were be VBD 63372 222 3 received receive VBN 63372 222 4 in in IN 63372 222 5 greater great JJR 63372 222 6 quantity quantity NN 63372 222 7 from from IN 63372 222 8 Germany Germany NNP 63372 222 9 than than IN 63372 222 10 from from IN 63372 222 11 any any DT 63372 222 12 other other JJ 63372 222 13 foreign foreign JJ 63372 222 14 country country NN 63372 222 15 , , , 63372 222 16 doubtless doubtless RB 63372 222 17 because because IN 63372 222 18 of of IN 63372 222 19 the the DT 63372 222 20 staggering staggering JJ 63372 222 21 value value NN 63372 222 22 of of IN 63372 222 23 $ $ $ 63372 222 24 5,000 5,000 CD 63372 222 25 when when WRB 63372 222 26 converted convert VBN 63372 222 27 into into IN 63372 222 28 marks mark NNS 63372 222 29 at at IN 63372 222 30 late late JJ 63372 222 31 1920 1920 CD 63372 222 32 rates rate NNS 63372 222 33 . . . 63372 223 1 England England NNP 63372 223 2 stood stand VBD 63372 223 3 next next RB 63372 223 4 on on IN 63372 223 5 the the DT 63372 223 6 list list NN 63372 223 7 ; ; : 63372 223 8 and and CC 63372 223 9 one one CD 63372 223 10 or or CC 63372 223 11 more more JJR 63372 223 12 essays essay NNS 63372 223 13 were be VBD 63372 223 14 received receive VBN 63372 223 15 from from IN 63372 223 16 Austria Austria NNP 63372 223 17 , , , 63372 223 18 Czechoslovakia Czechoslovakia NNP 63372 223 19 , , , 63372 223 20 Jugoslavia Jugoslavia NNP 63372 223 21 , , , 63372 223 22 France France NNP 63372 223 23 , , , 63372 223 24 Switzerland Switzerland NNP 63372 223 25 , , , 63372 223 26 the the DT 63372 223 27 Netherlands Netherlands NNP 63372 223 28 , , , 63372 223 29 Denmark Denmark NNP 63372 223 30 , , , 63372 223 31 Italy Italy NNP 63372 223 32 , , , 63372 223 33 Chile Chile NNP 63372 223 34 , , , 63372 223 35 Cuba Cuba NNP 63372 223 36 , , , 63372 223 37 Mexico Mexico NNP 63372 223 38 , , , 63372 223 39 India India NNP 63372 223 40 , , , 63372 223 41 Jamaica Jamaica NNP 63372 223 42 , , , 63372 223 43 South South NNP 63372 223 44 Africa Africa NNP 63372 223 45 and and CC 63372 223 46 the the DT 63372 223 47 Fiji Fiji NNP 63372 223 48 Islands Islands NNPS 63372 223 49 . . . 63372 224 1 Canada Canada NNP 63372 224 2 , , , 63372 224 3 of of IN 63372 224 4 course course NN 63372 224 5 , , , 63372 224 6 contributed contribute VBD 63372 224 7 her -PRON- PRP$ 63372 224 8 fair fair JJ 63372 224 9 share share NN 63372 224 10 ; ; : 63372 224 11 and and CC 63372 224 12 few few JJ 63372 224 13 of of IN 63372 224 14 our -PRON- PRP$ 63372 224 15 own own JJ 63372 224 16 states state NNS 63372 224 17 were be VBD 63372 224 18 missing miss VBG 63372 224 19 on on IN 63372 224 20 the the DT 63372 224 21 roll roll NN 63372 224 22 - - HYPH 63372 224 23 call call NN 63372 224 24 . . . 63372 225 1 The the DT 63372 225 2 general general JJ 63372 225 3 level level NN 63372 225 4 of of IN 63372 225 5 English english JJ 63372 225 6 composition composition NN 63372 225 7 among among IN 63372 225 8 the the DT 63372 225 9 essays essay NNS 63372 225 10 from from IN 63372 225 11 non non JJ 63372 225 12 - - JJ 63372 225 13 English english JJ 63372 225 14 - - HYPH 63372 225 15 speaking speak VBG 63372 225 16 sources source NNS 63372 225 17 was be VBD 63372 225 18 about about IN 63372 225 19 what what WP 63372 225 20 might may MD 63372 225 21 have have VB 63372 225 22 been be VBN 63372 225 23 expected expect VBN 63372 225 24 . . . 63372 226 1 A a DT 63372 226 2 man man NN 63372 226 3 may may MD 63372 226 4 have have VB 63372 226 5 a a DT 63372 226 6 thorough thorough JJ 63372 226 7 utilitarian utilitarian JJ 63372 226 8 knowledge knowledge NN 63372 226 9 of of IN 63372 226 10 a a DT 63372 226 11 foreign foreign JJ 63372 226 12 tongue tongue NN 63372 226 13 , , , 63372 226 14 but but CC 63372 226 15 when when WRB 63372 226 16 he -PRON- PRP 63372 226 17 attempts attempt VBZ 63372 226 18 intensive intensive JJ 63372 226 19 literary literary JJ 63372 226 20 competition competition NN 63372 226 21 with with IN 63372 226 22 a a DT 63372 226 23 man man NN 63372 226 24 who who WP 63372 226 25 was be VBD 63372 226 26 brought bring VBN 63372 226 27 up up RP 63372 226 28 in in IN 63372 226 29 that that DT 63372 226 30 tongue tongue NN 63372 226 31 he -PRON- PRP 63372 226 32 is be VBZ 63372 226 33 at at IN 63372 226 34 a a DT 63372 226 35 disadvantage disadvantage NN 63372 226 36 . . . 63372 227 1 We -PRON- PRP 63372 227 2 read read VBP 63372 227 3 French french JJ 63372 227 4 and and CC 63372 227 5 German German NNP 63372 227 6 with with IN 63372 227 7 ease ease NN 63372 227 8 and and CC 63372 227 9 Spanish spanish JJ 63372 227 10 and and CC 63372 227 11 Italian italian JJ 63372 227 12 without without IN 63372 227 13 too too RB 63372 227 14 much much JJ 63372 227 15 difficulty difficulty NN 63372 227 16 , , , 63372 227 17 ourselves -PRON- PRP 63372 227 18 ; ; : 63372 227 19 we -PRON- PRP 63372 227 20 should should MD 63372 227 21 never never RB 63372 227 22 undertake undertake VB 63372 227 23 serious serious JJ 63372 227 24 writing writing NN 63372 227 25 in in IN 63372 227 26 any any DT 63372 227 27 of of IN 63372 227 28 these these DT 63372 227 29 languages language NNS 63372 227 30 . . . 63372 228 1 Not not RB 63372 228 2 many many JJ 63372 228 3 of of IN 63372 228 4 the the DT 63372 228 5 foreign foreign JJ 63372 228 6 contributions contribution NNS 63372 228 7 , , , 63372 228 8 of of IN 63372 228 9 course course NN 63372 228 10 , , , 63372 228 11 were be VBD 63372 228 12 as as RB 63372 228 13 ludicrous ludicrous JJ 63372 228 14 as as IN 63372 228 15 the the DT 63372 228 16 one one NN 63372 228 17 we -PRON- PRP 63372 228 18 quote quote VBP 63372 228 19 to to IN 63372 228 20 some some DT 63372 228 21 extent extent NN 63372 228 22 in in IN 63372 228 23 our -PRON- PRP$ 63372 228 24 concluding concluding NN 63372 228 25 chapter chapter NN 63372 228 26 , , , 63372 228 27 but but CC 63372 228 28 most most JJS 63372 228 29 of of IN 63372 228 30 them -PRON- PRP 63372 228 31 were be VBD 63372 228 32 distinctly distinctly RB 63372 228 33 below below IN 63372 228 34 par par NN 63372 228 35 as as IN 63372 228 36 literary literary JJ 63372 228 37 compositions composition NNS 63372 228 38 . . . 63372 229 1 Drs Drs NNP 63372 229 2 . . . 63372 230 1 De De NNP 63372 230 2 Sitter Sitter NNP 63372 230 3 and and CC 63372 230 4 Schlick Schlick NNP 63372 230 5 were be VBD 63372 230 6 the the DT 63372 230 7 notable notable JJ 63372 230 8 exceptions exception NNS 63372 230 9 to to IN 63372 230 10 this this DT 63372 230 11 ; ; : 63372 230 12 both both DT 63372 230 13 showed show VBD 63372 230 14 the the DT 63372 230 15 ability ability NN 63372 230 16 to to TO 63372 230 17 compete compete VB 63372 230 18 on on IN 63372 230 19 a a DT 63372 230 20 footing footing NN 63372 230 21 of of IN 63372 230 22 absolute absolute JJ 63372 230 23 equality equality NN 63372 230 24 with with IN 63372 230 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63372 231 33 . . . 63372 232 1 The the DT 63372 232 2 winning win VBG 63372 232 3 essay essay NN 63372 232 4 contains contain VBZ 63372 232 5 2,919 2,919 CD 63372 232 6 words word NNS 63372 232 7 , , , 63372 232 8 plus plus CC 63372 232 9 or or CC 63372 232 10 minus minus CC 63372 232 11 a a DT 63372 232 12 reasonable reasonable JJ 63372 232 13 allowance allowance NN 63372 232 14 for for IN 63372 232 15 error error NN 63372 232 16 in in IN 63372 232 17 counting counting NN 63372 232 18 ; ; : 63372 232 19 that that IN 63372 232 20 it -PRON- PRP 63372 232 21 should should MD 63372 232 22 come come VB 63372 232 23 so so RB 63372 232 24 far far RB 63372 232 25 from from IN 63372 232 26 being be VBG 63372 232 27 on on IN 63372 232 28 the the DT 63372 232 29 ragged ragged JJ 63372 232 30 edge edge NN 63372 232 31 should should MD 63372 232 32 be be VB 63372 232 33 sufficient sufficient JJ 63372 232 34 answer answer NN 63372 232 35 to to IN 63372 232 36 those those DT 63372 232 37 who who WP 63372 232 38 protested protest VBD 63372 232 39 against against IN 63372 232 40 the the DT 63372 232 41 severity severity NN 63372 232 42 of of IN 63372 232 43 the the DT 63372 232 44 limitation limitation NN 63372 232 45 . . . 63372 233 1 One one CD 63372 233 2 inquirer inquirer NN 63372 233 3 , , , 63372 233 4 by by IN 63372 233 5 the the DT 63372 233 6 way way NN 63372 233 7 , , , 63372 233 8 wanted want VBD 63372 233 9 to to TO 63372 233 10 know know VB 63372 233 11 if if IN 63372 233 12 3,000 3,000 CD 63372 233 13 words word NNS 63372 233 14 was be VBD 63372 233 15 not not RB 63372 233 16 a a DT 63372 233 17 misprint misprint NN 63372 233 18 for for IN 63372 233 19 30,000 30,000 CD 63372 233 20 . . . 63372 234 1 Another another DT 63372 234 2 contestant contestant NN 63372 234 3 suggested suggest VBD 63372 234 4 that that IN 63372 234 5 instead instead RB 63372 234 6 of of IN 63372 234 7 disqualifying disqualify VBG 63372 234 8 any any DT 63372 234 9 essay essay NN 63372 234 10 that that WDT 63372 234 11 was be VBD 63372 234 12 over over IN 63372 234 13 the the DT 63372 234 14 line line NN 63372 234 15 , , , 63372 234 16 we -PRON- PRP 63372 234 17 amputate amputate VBP 63372 234 18 the the DT 63372 234 19 superfluous superfluous JJ 63372 234 20 words word NNS 63372 234 21 at at IN 63372 234 22 the the DT 63372 234 23 end end NN 63372 234 24 . . . 63372 235 1 This this DT 63372 235 2 was be VBD 63372 235 3 a a DT 63372 235 4 plausible plausible JJ 63372 235 5 enough enough JJ 63372 235 6 suggestion suggestion NN 63372 235 7 , , , 63372 235 8 since since IN 63372 235 9 any any DT 63372 235 10 essay essay NN 63372 235 11 able able JJ 63372 235 12 to to TO 63372 235 13 compete compete VB 63372 235 14 after after IN 63372 235 15 such such JJ 63372 235 16 amputation amputation NN 63372 235 17 must must MD 63372 235 18 necessarily necessarily RB 63372 235 19 have have VB 63372 235 20 been be VBN 63372 235 21 one one CD 63372 235 22 of of IN 63372 235 23 extreme extreme JJ 63372 235 24 worth worth NN 63372 235 25 ; ; : 63372 235 26 but but CC 63372 235 27 fortunately fortunately RB 63372 235 28 we -PRON- PRP 63372 235 29 did do VBD 63372 235 30 not not RB 63372 235 31 have have VB 63372 235 32 to to TO 63372 235 33 decide decide VB 63372 235 34 whether whether IN 63372 235 35 we -PRON- PRP 63372 235 36 should should MD 63372 235 37 follow follow VB 63372 235 38 the the DT 63372 235 39 scheme scheme NN 63372 235 40 . . . 63372 236 1 Perhaps perhaps RB 63372 236 2 twenty twenty CD 63372 236 3 of of IN 63372 236 4 the the DT 63372 236 5 essays essay NNS 63372 236 6 submitted submit VBN 63372 236 7 were be VBD 63372 236 8 so so RB 63372 236 9 seriously seriously RB 63372 236 10 in in IN 63372 236 11 excess excess NN 63372 236 12 of of IN 63372 236 13 the the DT 63372 236 14 limit limit NN 63372 236 15 that that IN 63372 236 16 it -PRON- PRP 63372 236 17 was be VBD 63372 236 18 not not RB 63372 236 19 even even RB 63372 236 20 necessary necessary JJ 63372 236 21 to to TO 63372 236 22 count count VB 63372 236 23 their -PRON- PRP$ 63372 236 24 words word NNS 63372 236 25 in in IN 63372 236 26 detail detail NN 63372 236 27 ; ; : 63372 236 28 most most JJS 63372 236 29 of of IN 63372 236 30 these these DT 63372 236 31 offenders offender NNS 63372 236 32 ran run VBD 63372 236 33 to to IN 63372 236 34 3,500 3,500 CD 63372 236 35 words word NNS 63372 236 36 or or CC 63372 236 37 thereabouts thereabout NNS 63372 236 38 , , , 63372 236 39 and and CC 63372 236 40 one one CD 63372 236 41 -- -- : 63372 236 42 a a DT 63372 236 43 good good JJ 63372 236 44 one one NN 63372 236 45 , , , 63372 236 46 too too RB 63372 236 47 , , , 63372 236 48 from from IN 63372 236 49 which which WDT 63372 236 50 we -PRON- PRP 63372 236 51 use use VBP 63372 236 52 a a DT 63372 236 53 good good JJ 63372 236 54 deal deal NN 63372 236 55 of of IN 63372 236 56 material material NN 63372 236 57 in in IN 63372 236 58 this this DT 63372 236 59 volume volume NN 63372 236 60 -- -- : 63372 236 61 actually actually RB 63372 236 62 had have VBD 63372 236 63 4,700 4,700 CD 63372 236 64 . . . 63372 237 1 On on IN 63372 237 2 the the DT 63372 237 3 other other JJ 63372 237 4 extreme extreme NN 63372 237 5 were be VBD 63372 237 6 a a DT 63372 237 7 few few JJ 63372 237 8 competitors competitor NNS 63372 237 9 who who WP 63372 237 10 seemed seem VBD 63372 237 11 to to TO 63372 237 12 think think VB 63372 237 13 that that IN 63372 237 14 the the DT 63372 237 15 shortest short JJS 63372 237 16 essay essay NN 63372 237 17 was be VBD 63372 237 18 necessarily necessarily RB 63372 237 19 the the DT 63372 237 20 best good JJS 63372 237 21 , , , 63372 237 22 and and CC 63372 237 23 who who WP 63372 237 24 tried try VBD 63372 237 25 to to TO 63372 237 26 dismiss dismiss VB 63372 237 27 the the DT 63372 237 28 subject subject NN 63372 237 29 with with IN 63372 237 30 500 500 CD 63372 237 31 or or CC 63372 237 32 1,000 1,000 CD 63372 237 33 words word NNS 63372 237 34 . . . 63372 238 1 By by IN 63372 238 2 a a DT 63372 238 3 curious curious JJ 63372 238 4 trick trick NN 63372 238 5 of of IN 63372 238 6 chance chance NN 63372 238 7 there there EX 63372 238 8 were be VBD 63372 238 9 submitted submit VBN 63372 238 10 in in IN 63372 238 11 competition competition NN 63372 238 12 for for IN 63372 238 13 the the DT 63372 238 14 prize prize NN 63372 238 15 exactly exactly RB 63372 238 16 300 300 CD 63372 238 17 essays essay NNS 63372 238 18 . . . 63372 239 1 Of of RB 63372 239 2 course course RB 63372 239 3 a a DT 63372 239 4 few few JJ 63372 239 5 of of IN 63372 239 6 these these DT 63372 239 7 did do VBD 63372 239 8 not not RB 63372 239 9 require require VB 63372 239 10 serious serious JJ 63372 239 11 consideration consideration NN 63372 239 12 -- -- : 63372 239 13 this this DT 63372 239 14 is be VBZ 63372 239 15 inevitable inevitable JJ 63372 239 16 in in IN 63372 239 17 a a DT 63372 239 18 contest contest NN 63372 239 19 of of IN 63372 239 20 such such JJ 63372 239 21 magnitude magnitude NN 63372 239 22 . . . 63372 240 1 But but CC 63372 240 2 after after IN 63372 240 3 excluding exclude VBG 63372 240 4 all all PDT 63372 240 5 the the DT 63372 240 6 essays essay NNS 63372 240 7 that that WDT 63372 240 8 were be VBD 63372 240 9 admittedly admittedly RB 63372 240 10 not not RB 63372 240 11 about about IN 63372 240 12 the the DT 63372 240 13 Einstein Einstein NNP 63372 240 14 theories theory NNS 63372 240 15 at at RB 63372 240 16 all all RB 63372 240 17 , , , 63372 240 18 and and CC 63372 240 19 all all PDT 63372 240 20 those those DT 63372 240 21 whose whose WP$ 63372 240 22 English English NNP 63372 240 23 was be VBD 63372 240 24 so so RB 63372 240 25 execrable execrable JJ 63372 240 26 as as IN 63372 240 27 to to TO 63372 240 28 make make VB 63372 240 29 them -PRON- PRP 63372 240 30 quite quite RB 63372 240 31 out out IN 63372 240 32 of of IN 63372 240 33 the the DT 63372 240 34 question question NN 63372 240 35 , , , 63372 240 36 and and CC 63372 240 37 all all PDT 63372 240 38 those those DT 63372 240 39 which which WDT 63372 240 40 took take VBD 63372 240 41 the the DT 63372 240 42 subject subject NN 63372 240 43 so so RB 63372 240 44 lightly lightly RB 63372 240 45 as as IN 63372 240 46 not not RB 63372 240 47 to to TO 63372 240 48 write write VB 63372 240 49 reasonably reasonably RB 63372 240 50 close close JJ 63372 240 51 to to IN 63372 240 52 the the DT 63372 240 53 limit limit NN 63372 240 54 of of IN 63372 240 55 3,000 3,000 CD 63372 240 56 words word NNS 63372 240 57 , , , 63372 240 58 and and CC 63372 240 59 all all PDT 63372 240 60 those those DT 63372 240 61 which which WDT 63372 240 62 were be VBD 63372 240 63 given give VBN 63372 240 64 over over RP 63372 240 65 to to IN 63372 240 66 explanation explanation NN 63372 240 67 of of IN 63372 240 68 the the DT 63372 240 69 manner manner NN 63372 240 70 in in IN 63372 240 71 which which WDT 63372 240 72 Einstein Einstein NNP 63372 240 73 's 's POS 63372 240 74 theories theory NNS 63372 240 75 verify verify VBP 63372 240 76 those those DT 63372 240 77 of of IN 63372 240 78 the the DT 63372 240 79 writer writer NN 63372 240 80 , , , 63372 240 81 and and CC 63372 240 82 all all PDT 63372 240 83 those those DT 63372 240 84 in in IN 63372 240 85 which which WDT 63372 240 86 the the DT 63372 240 87 writer writer NN 63372 240 88 attempted attempt VBD 63372 240 89 to to TO 63372 240 90 substitute substitute VB 63372 240 91 his -PRON- PRP$ 63372 240 92 own own JJ 63372 240 93 cosmic cosmic JJ 63372 240 94 scheme scheme NN 63372 240 95 for for IN 63372 240 96 Einstein's Einstein's NNP 63372 240 97 -- -- : 63372 240 98 after after IN 63372 240 99 all all PDT 63372 240 100 this this DT 63372 240 101 , , , 63372 240 102 there there EX 63372 240 103 remained remain VBD 63372 240 104 some some DT 63372 240 105 275 275 CD 63372 240 106 essays essay NNS 63372 240 107 which which WDT 63372 240 108 were be VBD 63372 240 109 serious serious JJ 63372 240 110 efforts effort NNS 63372 240 111 to to TO 63372 240 112 explain explain VB 63372 240 113 in in IN 63372 240 114 simple simple JJ 63372 240 115 terms term NNS 63372 240 116 the the DT 63372 240 117 nature nature NN 63372 240 118 and and CC 63372 240 119 content content NN 63372 240 120 and and CC 63372 240 121 consequences consequence NNS 63372 240 122 of of IN 63372 240 123 Special Special NNP 63372 240 124 and and CC 63372 240 125 General General NNP 63372 240 126 Relativity Relativity NNP 63372 240 127 . . . 63372 241 1 LOOKING look VBG 63372 241 2 FOR for IN 63372 241 3 THE the DT 63372 241 4 WINNER WINNER NNP 63372 241 5 The the DT 63372 241 6 Einstein Einstein NNP 63372 241 7 Editor Editor NNP 63372 241 8 was be VBD 63372 241 9 in in IN 63372 241 10 sufficiently sufficiently RB 63372 241 11 close close JJ 63372 241 12 touch touch NN 63372 241 13 with with IN 63372 241 14 the the DT 63372 241 15 details detail NNS 63372 241 16 of of IN 63372 241 17 the the DT 63372 241 18 adjudication adjudication NN 63372 241 19 of of IN 63372 241 20 the the DT 63372 241 21 essays essay NNS 63372 241 22 to to TO 63372 241 23 have have VB 63372 241 24 every every DT 63372 241 25 realization realization NN 63372 241 26 of of IN 63372 241 27 the the DT 63372 241 28 difficulty difficulty NN 63372 241 29 of of IN 63372 241 30 this this DT 63372 241 31 work work NN 63372 241 32 . . . 63372 242 1 The the DT 63372 242 2 caliber caliber NN 63372 242 3 of of IN 63372 242 4 the the DT 63372 242 5 essays essay NNS 63372 242 6 submitted submit VBN 63372 242 7 was be VBD 63372 242 8 on on IN 63372 242 9 the the DT 63372 242 10 whole whole JJ 63372 242 11 high high NN 63372 242 12 . . . 63372 243 1 There there EX 63372 243 2 were be VBD 63372 243 3 many many JJ 63372 243 4 which which WDT 63372 243 5 would would MD 63372 243 6 have have VB 63372 243 7 been be VBN 63372 243 8 well well RB 63372 243 9 worthy worthy JJ 63372 243 10 of of IN 63372 243 11 the the DT 63372 243 12 prize prize NN 63372 243 13 in in IN 63372 243 14 the the DT 63372 243 15 absence absence NN 63372 243 16 of of IN 63372 243 17 others other NNS 63372 243 18 that that WDT 63372 243 19 were be VBD 63372 243 20 distinctly distinctly RB 63372 243 21 better well JJR 63372 243 22 -- -- : 63372 243 23 many many JJ 63372 243 24 which which WDT 63372 243 25 it -PRON- PRP 63372 243 26 was be VBD 63372 243 27 not not RB 63372 243 28 possible possible JJ 63372 243 29 to to TO 63372 243 30 eliminate eliminate VB 63372 243 31 on on IN 63372 243 32 the the DT 63372 243 33 ground ground NN 63372 243 34 of of IN 63372 243 35 specific specific JJ 63372 243 36 faults fault NNS 63372 243 37 , , , 63372 243 38 and and CC 63372 243 39 which which WDT 63372 243 40 could could MD 63372 243 41 only only RB 63372 243 42 be be VB 63372 243 43 adjudged adjudge VBN 63372 243 44 " " `` 63372 243 45 not not RB 63372 243 46 the the DT 63372 243 47 best good JJS 63372 243 48 " " '' 63372 243 49 by by IN 63372 243 50 detailed detailed JJ 63372 243 51 comparison comparison NN 63372 243 52 with with IN 63372 243 53 specific specific JJ 63372 243 54 other other JJ 63372 243 55 essays essay NNS 63372 243 56 . . . 63372 244 1 It -PRON- PRP 63372 244 2 was be VBD 63372 244 3 this this DT 63372 244 4 detailed detailed JJ 63372 244 5 comparison comparison NN 63372 244 6 which which WDT 63372 244 7 took take VBD 63372 244 8 time time NN 63372 244 9 , , , 63372 244 10 and and CC 63372 244 11 which which WDT 63372 244 12 so so RB 63372 244 13 delayed delay VBD 63372 244 14 the the DT 63372 244 15 award award NN 63372 244 16 that that WDT 63372 244 17 we -PRON- PRP 63372 244 18 were be VBD 63372 244 19 not not RB 63372 244 20 able able JJ 63372 244 21 to to TO 63372 244 22 publish publish VB 63372 244 23 the the DT 63372 244 24 winning winning NN 63372 244 25 essay essay NN 63372 244 26 any any RB 63372 244 27 sooner soon RBR 63372 244 28 than than IN 63372 244 29 February February NNP 63372 244 30 5th 5th NN 63372 244 31 . . . 63372 245 1 Especially especially RB 63372 245 2 difficult difficult JJ 63372 245 3 was be VBD 63372 245 4 this this DT 63372 245 5 process process NN 63372 245 6 of of IN 63372 245 7 elimination elimination NN 63372 245 8 after after IN 63372 245 9 the the DT 63372 245 10 number number NN 63372 245 11 of of IN 63372 245 12 surviving survive VBG 63372 245 13 essays essay NNS 63372 245 14 had have VBD 63372 245 15 been be VBN 63372 245 16 reduced reduce VBN 63372 245 17 to to IN 63372 245 18 twenty twenty CD 63372 245 19 or or CC 63372 245 20 less less JJR 63372 245 21 . . . 63372 246 1 The the DT 63372 246 2 advantages advantage NNS 63372 246 3 of of IN 63372 246 4 plan plan NN 63372 246 5 possessed possess VBN 63372 246 6 by by IN 63372 246 7 one one CD 63372 246 8 essay essay NN 63372 246 9 had have VBD 63372 246 10 to to TO 63372 246 11 be be VB 63372 246 12 weighed weigh VBN 63372 246 13 against against IN 63372 246 14 those those DT 63372 246 15 of of IN 63372 246 16 execution execution NN 63372 246 17 exhibited exhibit VBN 63372 246 18 in in IN 63372 246 19 another another DT 63372 246 20 . . . 63372 247 1 A a DT 63372 247 2 certain certain JJ 63372 247 3 essay essay NN 63372 247 4 had have VBD 63372 247 5 to to TO 63372 247 6 be be VB 63372 247 7 critically critically RB 63372 247 8 compared compare VBN 63372 247 9 with with IN 63372 247 10 another another DT 63372 247 11 so so RB 63372 247 12 like like IN 63372 247 13 it -PRON- PRP 63372 247 14 in in IN 63372 247 15 plan plan NN 63372 247 16 that that IN 63372 247 17 the the DT 63372 247 18 two two CD 63372 247 19 might may MD 63372 247 20 have have VB 63372 247 21 been be VBN 63372 247 22 written write VBN 63372 247 23 from from IN 63372 247 24 a a DT 63372 247 25 common common JJ 63372 247 26 outline outline NN 63372 247 27 , , , 63372 247 28 and and CC 63372 247 29 at at IN 63372 247 30 the the DT 63372 247 31 same same JJ 63372 247 32 time time NN 63372 247 33 with with IN 63372 247 34 a a DT 63372 247 35 third third JJ 63372 247 36 as as IN 63372 247 37 unlike unlike IN 63372 247 38 it -PRON- PRP 63372 247 39 in in IN 63372 247 40 scope scope NN 63372 247 41 and and CC 63372 247 42 content content NN 63372 247 43 as as IN 63372 247 44 day day NN 63372 247 45 and and CC 63372 247 46 night night NN 63372 247 47 . . . 63372 248 1 And and CC 63372 248 2 all all PDT 63372 248 3 the the DT 63372 248 4 time time NN 63372 248 5 there there EX 63372 248 6 was be VBD 63372 248 7 present present JJ 63372 248 8 in in IN 63372 248 9 the the DT 63372 248 10 background background NN 63372 248 11 the the DT 63372 248 12 consciousness consciousness NN 63372 248 13 that that IN 63372 248 14 a a DT 63372 248 15 prize prize NN 63372 248 16 of of IN 63372 248 17 $ $ $ 63372 248 18 5,000 5,000 CD 63372 248 19 hung hang VBN 63372 248 20 upon upon IN 63372 248 21 the the DT 63372 248 22 decision decision NN 63372 248 23 to to TO 63372 248 24 be be VB 63372 248 25 reached reach VBN 63372 248 26 . . . 63372 249 1 For for IN 63372 249 2 anyone anyone NN 63372 249 3 who who WP 63372 249 4 regards regard VBZ 63372 249 5 this this DT 63372 249 6 as as IN 63372 249 7 an an DT 63372 249 8 easy easy JJ 63372 249 9 task task NN 63372 249 10 we -PRON- PRP 63372 249 11 have have VBP 63372 249 12 no no DT 63372 249 13 worse bad JJR 63372 249 14 wish wish NN 63372 249 15 than than IN 63372 249 16 that that IN 63372 249 17 he -PRON- PRP 63372 249 18 may may MD 63372 249 19 some some DT 63372 249 20 day day NN 63372 249 21 have have VB 63372 249 22 to to TO 63372 249 23 attack attack VB 63372 249 24 a a DT 63372 249 25 similar similar JJ 63372 249 26 one one NN 63372 249 27 . . . 63372 250 1 We -PRON- PRP 63372 250 2 had have VBD 63372 250 3 anticipated anticipate VBN 63372 250 4 that that IN 63372 250 5 the the DT 63372 250 6 bulk bulk NN 63372 250 7 of of IN 63372 250 8 the the DT 63372 250 9 superior superior JJ 63372 250 10 essays essay NNS 63372 250 11 would would MD 63372 250 12 be be VB 63372 250 13 among among IN 63372 250 14 those those DT 63372 250 15 received receive VBN 63372 250 16 during during IN 63372 250 17 the the DT 63372 250 18 last last JJ 63372 250 19 day day NN 63372 250 20 or or CC 63372 250 21 two two CD 63372 250 22 of of IN 63372 250 23 the the DT 63372 250 24 contest contest NN 63372 250 25 ; ; : 63372 250 26 for for IN 63372 250 27 we -PRON- PRP 63372 250 28 felt feel VBD 63372 250 29 that that IN 63372 250 30 the the DT 63372 250 31 men man NNS 63372 250 32 best well RBS 63372 250 33 equipped equip VBN 63372 250 34 to to TO 63372 250 35 attack attack VB 63372 250 36 the the DT 63372 250 37 subject subject NN 63372 250 38 would would MD 63372 250 39 be be VB 63372 250 40 the the DT 63372 250 41 most most RBS 63372 250 42 impressed impressed JJ 63372 250 43 with with IN 63372 250 44 its -PRON- PRP$ 63372 250 45 seriousness seriousness NN 63372 250 46 . . . 63372 251 1 Here here RB 63372 251 2 we -PRON- PRP 63372 251 3 were be VBD 63372 251 4 quite quite RB 63372 251 5 off off IN 63372 251 6 the the DT 63372 251 7 track track NN 63372 251 8 . . . 63372 252 1 The the DT 63372 252 2 seventeen seventeen CD 63372 252 3 essays essay NNS 63372 252 4 which which WDT 63372 252 5 withstood withstand VBD 63372 252 6 most most RBS 63372 252 7 stubbornly stubbornly RB 63372 252 8 the the DT 63372 252 9 Judges Judges NNPS 63372 252 10 ' ' POS 63372 252 11 efforts effort NNS 63372 252 12 at at IN 63372 252 13 elimination elimination NN 63372 252 14 were be VBD 63372 252 15 , , , 63372 252 16 in in IN 63372 252 17 order order NN 63372 252 18 of of IN 63372 252 19 receipt receipt NN 63372 252 20 , , , 63372 252 21 numbers number NNS 63372 252 22 8 8 CD 63372 252 23 , , , 63372 252 24 18 18 CD 63372 252 25 , , , 63372 252 26 28 28 CD 63372 252 27 , , , 63372 252 28 40 40 CD 63372 252 29 , , , 63372 252 30 41 41 CD 63372 252 31 , , , 63372 252 32 43 43 CD 63372 252 33 , , , 63372 252 34 92 92 CD 63372 252 35 , , , 63372 252 36 95 95 CD 63372 252 37 , , , 63372 252 38 97 97 CD 63372 252 39 , , , 63372 252 40 130 130 CD 63372 252 41 , , , 63372 252 42 181 181 CD 63372 252 43 , , , 63372 252 44 194 194 CD 63372 252 45 , , , 63372 252 46 198 198 CD 63372 252 47 , , , 63372 252 48 223 223 CD 63372 252 49 , , , 63372 252 50 267 267 CD 63372 252 51 , , , 63372 252 52 270 270 CD 63372 252 53 , , , 63372 252 54 275 275 CD 63372 252 55 : : : 63372 252 56 a a DT 63372 252 57 fairly fairly RB 63372 252 58 even even RB 63372 252 59 distribution distribution NN 63372 252 60 . . . 63372 253 1 The the DT 63372 253 2 winner winner NN 63372 253 3 was be VBD 63372 253 4 the the DT 63372 253 5 92nd 92nd JJ 63372 253 6 essay essay NN 63372 253 7 received receive VBN 63372 253 8 . . . 63372 254 1 The the DT 63372 254 2 Judges Judges NNPS 63372 254 3 held hold VBD 63372 254 4 their -PRON- PRP$ 63372 254 5 final final JJ 63372 254 6 meeting meeting NN 63372 254 7 in in IN 63372 254 8 the the DT 63372 254 9 editorial editorial JJ 63372 254 10 office office NN 63372 254 11 on on IN 63372 254 12 January January NNP 63372 254 13 18 18 CD 63372 254 14 , , , 63372 254 15 1921 1921 CD 63372 254 16 . . . 63372 255 1 The the DT 63372 255 2 four four CD 63372 255 3 essays essay NNS 63372 255 4 which which WDT 63372 255 5 were be VBD 63372 255 6 before before IN 63372 255 7 the the DT 63372 255 8 committee committee NN 63372 255 9 at at IN 63372 255 10 the the DT 63372 255 11 start start NN 63372 255 12 of of IN 63372 255 13 the the DT 63372 255 14 session session NN 63372 255 15 were be VBD 63372 255 16 speedily speedily RB 63372 255 17 cut cut VBN 63372 255 18 to to IN 63372 255 19 three three CD 63372 255 20 , , , 63372 255 21 and and CC 63372 255 22 then then RB 63372 255 23 to to IN 63372 255 24 two two CD 63372 255 25 ; ; : 63372 255 26 and and CC 63372 255 27 after after IN 63372 255 28 an an DT 63372 255 29 all all DT 63372 255 30 - - HYPH 63372 255 31 day day NN 63372 255 32 session session NN 63372 255 33 the the DT 63372 255 34 Judges Judges NNPS 63372 255 35 found find VBD 63372 255 36 themselves -PRON- PRP 63372 255 37 conscientiously conscientiously RB 63372 255 38 able able JJ 63372 255 39 to to TO 63372 255 40 agree agree VB 63372 255 41 on on IN 63372 255 42 one one CD 63372 255 43 of of IN 63372 255 44 these these DT 63372 255 45 as as IN 63372 255 46 the the DT 63372 255 47 best good JJS 63372 255 48 . . . 63372 256 1 This this DT 63372 256 2 unanimity unanimity NN 63372 256 3 was be VBD 63372 256 4 especially especially RB 63372 256 5 gratifying gratify VBG 63372 256 6 , , , 63372 256 7 the the DT 63372 256 8 more more RBR 63372 256 9 so so RB 63372 256 10 since since IN 63372 256 11 it -PRON- PRP 63372 256 12 by by IN 63372 256 13 no no DT 63372 256 14 means means NN 63372 256 15 was be VBD 63372 256 16 to to TO 63372 256 17 be be VB 63372 256 18 confidently confidently RB 63372 256 19 expected expect VBN 63372 256 20 , , , 63372 256 21 on on IN 63372 256 22 a a DT 63372 256 23 priori priori FW 63372 256 24 grounds ground NNS 63372 256 25 , , , 63372 256 26 that that IN 63372 256 27 it -PRON- PRP 63372 256 28 would would MD 63372 256 29 be be VB 63372 256 30 possible possible JJ 63372 256 31 of of IN 63372 256 32 attainment attainment JJ 63372 256 33 . . . 63372 257 1 Even even RB 63372 257 2 the the DT 63372 257 3 Einstein Einstein NNP 63372 257 4 Editor Editor NNP 63372 257 5 , , , 63372 257 6 who who WP 63372 257 7 might may MD 63372 257 8 have have VB 63372 257 9 been be VBN 63372 257 10 called call VBN 63372 257 11 upon upon IN 63372 257 12 for for IN 63372 257 13 a a DT 63372 257 14 final final JJ 63372 257 15 decision decision NN 63372 257 16 but but CC 63372 257 17 was be VBD 63372 257 18 n't not RB 63372 257 19 , , , 63372 257 20 can can MD 63372 257 21 hardly hardly RB 63372 257 22 be be VB 63372 257 23 classed class VBN 63372 257 24 as as IN 63372 257 25 a a DT 63372 257 26 dissenter dissenter NN 63372 257 27 ; ; : 63372 257 28 for for IN 63372 257 29 with with IN 63372 257 30 some some DT 63372 257 31 slight slight JJ 63372 257 32 mental mental JJ 63372 257 33 reservations reservation NNS 63372 257 34 in in IN 63372 257 35 favor favor NN 63372 257 36 of of IN 63372 257 37 the the DT 63372 257 38 essay essay NN 63372 257 39 by by IN 63372 257 40 Mr. Mr. NNP 63372 257 41 Francis Francis NNP 63372 257 42 which which WDT 63372 257 43 did do VBD 63372 257 44 not not RB 63372 257 45 enter enter VB 63372 257 46 the the DT 63372 257 47 Judges Judges NNPS 63372 257 48 ' ' POS 63372 257 49 final final JJ 63372 257 50 discussion discussion NN 63372 257 51 at at RB 63372 257 52 all all RB 63372 257 53 , , , 63372 257 54 and and CC 63372 257 55 which which WDT 63372 257 56 he -PRON- PRP 63372 257 57 rather rather RB 63372 257 58 suspects suspect VBZ 63372 257 59 appeals appeal NNS 63372 257 60 more more RBR 63372 257 61 to to IN 63372 257 62 his -PRON- PRP$ 63372 257 63 personal personal JJ 63372 257 64 taste taste NN 63372 257 65 than than IN 63372 257 66 to to IN 63372 257 67 his -PRON- PRP$ 63372 257 68 soundest soundest JJ 63372 257 69 judgment judgment NN 63372 257 70 , , , 63372 257 71 he -PRON- PRP 63372 257 72 is be VBZ 63372 257 73 entirely entirely RB 63372 257 74 in in IN 63372 257 75 accord accord NN 63372 257 76 with with IN 63372 257 77 the the DT 63372 257 78 verdict verdict NN 63372 257 79 rendered render VBN 63372 257 80 . . . 63372 258 1 The the DT 63372 258 2 fact fact NN 63372 258 3 that that IN 63372 258 4 the the DT 63372 258 5 prize prize NN 63372 258 6 went go VBD 63372 258 7 to to IN 63372 258 8 England England NNP 63372 258 9 was be VBD 63372 258 10 no no DT 63372 258 11 surprise surprise NN 63372 258 12 to to IN 63372 258 13 those those DT 63372 258 14 acquainted acquaint VBN 63372 258 15 with with IN 63372 258 16 the the DT 63372 258 17 history history NN 63372 258 18 of of IN 63372 258 19 Einstein Einstein NNP 63372 258 20 's 's POS 63372 258 21 theories theory NNS 63372 258 22 . . . 63372 259 1 The the DT 63372 259 2 Special Special NNP 63372 259 3 Theory Theory NNP 63372 259 4 , , , 63372 259 5 promulgated promulgate VBD 63372 259 6 fifteen fifteen CD 63372 259 7 years year NNS 63372 259 8 ago ago RB 63372 259 9 , , , 63372 259 10 received receive VBD 63372 259 11 its -PRON- PRP$ 63372 259 12 fair fair JJ 63372 259 13 share share NN 63372 259 14 of of IN 63372 259 15 attention attention NN 63372 259 16 from from IN 63372 259 17 mathematicians mathematician NNS 63372 259 18 all all RB 63372 259 19 over over IN 63372 259 20 the the DT 63372 259 21 world world NN 63372 259 22 , , , 63372 259 23 and and CC 63372 259 24 is be VBZ 63372 259 25 doubtless doubtless RB 63372 259 26 as as RB 63372 259 27 well well RB 63372 259 28 known know VBN 63372 259 29 and and CC 63372 259 30 as as RB 63372 259 31 fully fully RB 63372 259 32 appreciated appreciate VBN 63372 259 33 here here RB 63372 259 34 as as IN 63372 259 35 elsewhere elsewhere RB 63372 259 36 . . . 63372 260 1 But but CC 63372 260 2 it -PRON- PRP 63372 260 3 has have VBZ 63372 260 4 never never RB 63372 260 5 been be VBN 63372 260 6 elevated elevate VBN 63372 260 7 to to IN 63372 260 8 a a DT 63372 260 9 position position NN 63372 260 10 of of IN 63372 260 11 any any DT 63372 260 12 great great JJ 63372 260 13 importance importance NN 63372 260 14 in in IN 63372 260 15 mathematical mathematical JJ 63372 260 16 theory theory NN 63372 260 17 , , , 63372 260 18 simply simply RB 63372 260 19 because because IN 63372 260 20 of of IN 63372 260 21 itself -PRON- PRP 63372 260 22 , , , 63372 260 23 in in IN 63372 260 24 the the DT 63372 260 25 absence absence NN 63372 260 26 of of IN 63372 260 27 its -PRON- PRP$ 63372 260 28 extension extension NN 63372 260 29 to to IN 63372 260 30 the the DT 63372 260 31 general general JJ 63372 260 32 case case NN 63372 260 33 , , , 63372 260 34 it -PRON- PRP 63372 260 35 deserves deserve VBZ 63372 260 36 little little JJ 63372 260 37 importance importance NN 63372 260 38 . . . 63372 261 1 It -PRON- PRP 63372 261 2 is be VBZ 63372 261 3 merely merely RB 63372 261 4 an an DT 63372 261 5 interesting interesting JJ 63372 261 6 bit bit NN 63372 261 7 of of IN 63372 261 8 abstract abstract JJ 63372 261 9 speculation speculation NN 63372 261 10 . . . 63372 262 1 The the DT 63372 262 2 General General NNP 63372 262 3 Theory Theory NNP 63372 262 4 was be VBD 63372 262 5 put put VBN 63372 262 6 out out RP 63372 262 7 by by IN 63372 262 8 Einstein Einstein NNP 63372 262 9 in in IN 63372 262 10 finished finish VBN 63372 262 11 form form NN 63372 262 12 during during IN 63372 262 13 the the DT 63372 262 14 war war NN 63372 262 15 . . . 63372 263 1 Owing owe VBG 63372 263 2 to to IN 63372 263 3 the the DT 63372 263 4 scientific scientific JJ 63372 263 5 moratorium moratorium NN 63372 263 6 , , , 63372 263 7 his -PRON- PRP$ 63372 263 8 paper paper NN 63372 263 9 , , , 63372 263 10 and and CC 63372 263 11 hence hence RB 63372 263 12 a a DT 63372 263 13 clear clear JJ 63372 263 14 understanding understanding NN 63372 263 15 of of IN 63372 263 16 the the DT 63372 263 17 new new JJ 63372 263 18 methods method NNS 63372 263 19 and and CC 63372 263 20 results result NNS 63372 263 21 and and CC 63372 263 22 of of IN 63372 263 23 the the DT 63372 263 24 sweeping sweeping JJ 63372 263 25 consequences consequence NNS 63372 263 26 if if IN 63372 263 27 the the DT 63372 263 28 General General NNP 63372 263 29 Theory Theory NNP 63372 263 30 should should MD 63372 263 31 prevail prevail VB 63372 263 32 , , , 63372 263 33 did do VBD 63372 263 34 not not RB 63372 263 35 attain attain VB 63372 263 36 general general JJ 63372 263 37 circulation circulation NN 63372 263 38 outside outside IN 63372 263 39 Germany Germany NNP 63372 263 40 until until IN 63372 263 41 some some DT 63372 263 42 time time NN 63372 263 43 in in IN 63372 263 44 1918 1918 CD 63372 263 45 or or CC 63372 263 46 even even RB 63372 263 47 later later RB 63372 263 48 . . . 63372 264 1 Had have VBD 63372 264 2 it -PRON- PRP 63372 264 3 not not RB 63372 264 4 been be VBN 63372 264 5 for for IN 63372 264 6 Eddington Eddington NNP 63372 264 7 it -PRON- PRP 63372 264 8 is be VBZ 63372 264 9 doubtful doubtful JJ 63372 264 10 that that IN 63372 264 11 the the DT 63372 264 12 British british JJ 63372 264 13 astronomers astronomer NNS 63372 264 14 would would MD 63372 264 15 have have VB 63372 264 16 realized realize VBN 63372 264 17 that that IN 63372 264 18 the the DT 63372 264 19 eclipse eclipse NN 63372 264 20 expeditions expedition NNS 63372 264 21 were be VBD 63372 264 22 of of IN 63372 264 23 particular particular JJ 63372 264 24 consequence consequence NN 63372 264 25 . . . 63372 265 1 Therefore therefore RB 63372 265 2 at at IN 63372 265 3 the the DT 63372 265 4 time time NN 63372 265 5 of of IN 63372 265 6 these these DT 63372 265 7 expeditions expedition NNS 63372 265 8 , , , 63372 265 9 and and CC 63372 265 10 even even RB 63372 265 11 as as RB 63372 265 12 late late RB 63372 265 13 as as IN 63372 265 14 the the DT 63372 265 15 November November NNP 63372 265 16 announcement announcement NN 63372 265 17 of of IN 63372 265 18 the the DT 63372 265 19 findings finding NNS 63372 265 20 , , , 63372 265 21 the the DT 63372 265 22 general general JJ 63372 265 23 body body NN 63372 265 24 of of IN 63372 265 25 scientific scientific JJ 63372 265 26 men man NNS 63372 265 27 in in IN 63372 265 28 America America NNP 63372 265 29 had have VBD 63372 265 30 not not RB 63372 265 31 adequately adequately RB 63372 265 32 realized realize VBN 63372 265 33 the the DT 63372 265 34 immense immense JJ 63372 265 35 distinction distinction NN 63372 265 36 between between IN 63372 265 37 the the DT 63372 265 38 Special Special NNP 63372 265 39 and and CC 63372 265 40 the the DT 63372 265 41 General General NNP 63372 265 42 Theories Theories NNPS 63372 265 43 , , , 63372 265 44 had have VBD 63372 265 45 not not RB 63372 265 46 adequately adequately RB 63372 265 47 appreciated appreciate VBN 63372 265 48 that that IN 63372 265 49 the the DT 63372 265 50 latter latter JJ 63372 265 51 led lead VBD 63372 265 52 to to IN 63372 265 53 distinctive distinctive JJ 63372 265 54 consequences consequence NNS 63372 265 55 of of IN 63372 265 56 any any DT 63372 265 57 import import NN 63372 265 58 , , , 63372 265 59 and and CC 63372 265 60 we -PRON- PRP 63372 265 61 fear fear VBP 63372 265 62 in in IN 63372 265 63 many many JJ 63372 265 64 cases case NNS 63372 265 65 had have VBD 63372 265 66 not not RB 63372 265 67 even even RB 63372 265 68 realized realize VBN 63372 265 69 explicitly explicitly RB 63372 265 70 that that IN 63372 265 71 the the DT 63372 265 72 deflection deflection NN 63372 265 73 of of IN 63372 265 74 light light NN 63372 265 75 and and CC 63372 265 76 the the DT 63372 265 77 behavior behavior NN 63372 265 78 of of IN 63372 265 79 Mercury Mercury NNP 63372 265 80 were be VBD 63372 265 81 matters matter NNS 63372 265 82 strictly strictly RB 63372 265 83 of of IN 63372 265 84 the the DT 63372 265 85 General General NNP 63372 265 86 and and CC 63372 265 87 in in IN 63372 265 88 no no DT 63372 265 89 sense sense NN 63372 265 90 of of IN 63372 265 91 the the DT 63372 265 92 Special Special NNP 63372 265 93 Theory Theory NNP 63372 265 94 . . . 63372 266 1 Certainly certainly RB 63372 266 2 when when WRB 63372 266 3 the the DT 63372 266 4 American american JJ 63372 266 5 newspapers newspaper NNS 63372 266 6 were be VBD 63372 266 7 searching search VBG 63372 266 8 frantically frantically RB 63372 266 9 for for IN 63372 266 10 somebody somebody NN 63372 266 11 to to TO 63372 266 12 interpret interpret VB 63372 266 13 to to IN 63372 266 14 their -PRON- PRP$ 63372 266 15 public public NN 63372 266 16 the the DT 63372 266 17 great great JJ 63372 266 18 stir stir NN 63372 266 19 made make VBN 63372 266 20 by by IN 63372 266 21 the the DT 63372 266 22 British british JJ 63372 266 23 announcement announcement NN 63372 266 24 that that IN 63372 266 25 Einstein Einstein NNP 63372 266 26 's 's POS 63372 266 27 predictions prediction NNS 63372 266 28 had have VBD 63372 266 29 been be VBN 63372 266 30 verified verify VBN 63372 266 31 , , , 63372 266 32 they -PRON- PRP 63372 266 33 found find VBD 63372 266 34 no no DT 63372 266 35 one one NN 63372 266 36 to to TO 63372 266 37 do do VB 63372 266 38 this this DT 63372 266 39 decently decently RB 63372 266 40 ; ; : 63372 266 41 nor nor CC 63372 266 42 were be VBD 63372 266 43 our -PRON- PRP$ 63372 266 44 magazines magazine NNS 63372 266 45 much much RB 63372 266 46 more more RBR 63372 266 47 successful successful JJ 63372 266 48 in in IN 63372 266 49 spite spite NN 63372 266 50 of of IN 63372 266 51 the the DT 63372 266 52 greater great JJR 63372 266 53 time time NN 63372 266 54 they -PRON- PRP 63372 266 55 had have VBD 63372 266 56 to to TO 63372 266 57 devote devote VB 63372 266 58 to to IN 63372 266 59 the the DT 63372 266 60 search search NN 63372 266 61 . . . 63372 267 1 In in IN 63372 267 2 a a DT 63372 267 3 word word NN 63372 267 4 , , , 63372 267 5 there there EX 63372 267 6 is be VBZ 63372 267 7 not not RB 63372 267 8 the the DT 63372 267 9 slightest slight JJS 63372 267 10 room room NN 63372 267 11 for for IN 63372 267 12 doubt doubt NN 63372 267 13 that that IN 63372 267 14 American american JJ 63372 267 15 science science NN 63372 267 16 was be VBD 63372 267 17 in in IN 63372 267 18 large large JJ 63372 267 19 measure measure NN 63372 267 20 caught catch VBN 63372 267 21 asleep asleep JJ 63372 267 22 at at IN 63372 267 23 the the DT 63372 267 24 switch switch NN 63372 267 25 -- -- : 63372 267 26 perhaps perhaps RB 63372 267 27 for for IN 63372 267 28 no no DT 63372 267 29 reason reason NN 63372 267 30 within within IN 63372 267 31 its -PRON- PRP$ 63372 267 32 control control NN 63372 267 33 ; ; : 63372 267 34 and and CC 63372 267 35 that that IN 63372 267 36 American american JJ 63372 267 37 writers writer NNS 63372 267 38 were be VBD 63372 267 39 in in IN 63372 267 40 no no DT 63372 267 41 such such JJ 63372 267 42 favorable favorable JJ 63372 267 43 case case NN 63372 267 44 to to TO 63372 267 45 write write VB 63372 267 46 convincingly convincingly RB 63372 267 47 on on IN 63372 267 48 the the DT 63372 267 49 subject subject NN 63372 267 50 as as IN 63372 267 51 were be VBD 63372 267 52 their -PRON- PRP$ 63372 267 53 British british JJ 63372 267 54 and and CC 63372 267 55 continental continental JJ 63372 267 56 contemporaries contemporary NNS 63372 267 57 . . . 63372 268 1 So so RB 63372 268 2 it -PRON- PRP 63372 268 3 was be VBD 63372 268 4 quite quite RB 63372 268 5 in in IN 63372 268 6 accord accord NN 63372 268 7 with with IN 63372 268 8 what what WP 63372 268 9 might may MD 63372 268 10 have have VB 63372 268 11 been be VBN 63372 268 12 expected expect VBN 63372 268 13 to to TO 63372 268 14 find find VB 63372 268 15 , , , 63372 268 16 on on IN 63372 268 17 opening open VBG 63372 268 18 the the DT 63372 268 19 identifying identify VBG 63372 268 20 envelopes envelope NNS 63372 268 21 , , , 63372 268 22 that that IN 63372 268 23 not not RB 63372 268 24 alone alone RB 63372 268 25 the the DT 63372 268 26 winning win VBG 63372 268 27 essay essay NN 63372 268 28 , , , 63372 268 29 but but CC 63372 268 30 its -PRON- PRP$ 63372 268 31 two two CD 63372 268 32 most most RBS 63372 268 33 immediate immediate JJ 63372 268 34 rivals rival NNS 63372 268 35 , , , 63372 268 36 come come VB 63372 268 37 from from IN 63372 268 38 members member NNS 63372 268 39 of of IN 63372 268 40 that that DT 63372 268 41 school school NN 63372 268 42 of of IN 63372 268 43 British british JJ 63372 268 44 thought thought NN 63372 268 45 which which WDT 63372 268 46 had have VBD 63372 268 47 been be VBN 63372 268 48 in in IN 63372 268 49 contact contact NN 63372 268 50 with with IN 63372 268 51 the the DT 63372 268 52 Einstein Einstein NNP 63372 268 53 theories theory NNS 63372 268 54 in in IN 63372 268 55 their -PRON- PRP$ 63372 268 56 entirety entirety NN 63372 268 57 for for IN 63372 268 58 two two CD 63372 268 59 years year NNS 63372 268 60 longer long RBR 63372 268 61 than than IN 63372 268 62 the the DT 63372 268 63 average average JJ 63372 268 64 American american JJ 63372 268 65 of of IN 63372 268 66 equal equal JJ 63372 268 67 competence competence NN 63372 268 68 . . . 63372 269 1 This this DT 63372 269 2 riper riper NN 63372 269 3 familiarity familiarity NN 63372 269 4 with with IN 63372 269 5 the the DT 63372 269 6 subject subject NN 63372 269 7 was be VBD 63372 269 8 bound bind VBN 63372 269 9 to to TO 63372 269 10 yield yield VB 63372 269 11 riper riper NNP 63372 269 12 fruit fruit NN 63372 269 13 . . . 63372 270 1 Indeed indeed RB 63372 270 2 , , , 63372 270 3 had have VBD 63372 270 4 it -PRON- PRP 63372 270 5 not not RB 63372 270 6 been be VBN 63372 270 7 for for IN 63372 270 8 the the DT 63372 270 9 handicap handicap NN 63372 270 10 of of IN 63372 270 11 writing write VBG 63372 270 12 in in IN 63372 270 13 a a DT 63372 270 14 strange strange JJ 63372 270 15 language language NN 63372 270 16 , , , 63372 270 17 it -PRON- PRP 63372 270 18 is be VBZ 63372 270 19 reasonable reasonable JJ 63372 270 20 to to TO 63372 270 21 assume assume VB 63372 270 22 that that IN 63372 270 23 the the DT 63372 270 24 scientists scientist NNS 63372 270 25 of of IN 63372 270 26 Germany Germany NNP 63372 270 27 would would MD 63372 270 28 have have VB 63372 270 29 made make VBN 63372 270 30 a a DT 63372 270 31 showing show VBG 63372 270 32 superior superior JJ 63372 270 33 to to IN 63372 270 34 that that DT 63372 270 35 of of IN 63372 270 36 either either DT 63372 270 37 Americans Americans NNPS 63372 270 38 or or CC 63372 270 39 British british JJ 63372 270 40 -- -- : 63372 270 41 and and CC 63372 270 42 for for IN 63372 270 43 the the DT 63372 270 44 same same JJ 63372 270 45 reason reason NN 63372 270 46 that that WDT 63372 270 47 Britain Britain NNP 63372 270 48 showed show VBD 63372 270 49 to to IN 63372 270 50 better well JJR 63372 270 51 advantage advantage NN 63372 270 52 than than IN 63372 270 53 America America NNP 63372 270 54 . . . 63372 271 1 THE the DT 63372 271 2 WINNER WINNER NNP 63372 271 3 OF of IN 63372 271 4 THE the DT 63372 271 5 PRIZE PRIZE NNP 63372 271 6 Mr. Mr. NNP 63372 271 7 Bolton Bolton NNP 63372 271 8 , , , 63372 271 9 the the DT 63372 271 10 winner winner NN 63372 271 11 of of IN 63372 271 12 the the DT 63372 271 13 big big NNP 63372 271 14 prize prize NNP 63372 271 15 , , , 63372 271 16 we -PRON- PRP 63372 271 17 suppose suppose VBP 63372 271 18 may may MD 63372 271 19 fairly fairly RB 63372 271 20 be be VB 63372 271 21 referred refer VBN 63372 271 22 to to IN 63372 271 23 as as RB 63372 271 24 unknown unknown JJ 63372 271 25 in in IN 63372 271 26 a a DT 63372 271 27 strict strict JJ 63372 271 28 scientific scientific JJ 63372 271 29 sense sense NN 63372 271 30 . . . 63372 272 1 Indeed indeed RB 63372 272 2 , , , 63372 272 3 at at IN 63372 272 4 the the DT 63372 272 5 time time NN 63372 272 6 of of IN 63372 272 7 the the DT 63372 272 8 publication publication NN 63372 272 9 of of IN 63372 272 10 his -PRON- PRP$ 63372 272 11 essay essay NN 63372 272 12 in in IN 63372 272 13 the the DT 63372 272 14 Scientific scientific JJ 63372 272 15 American american JJ 63372 272 16 nothing nothing NN 63372 272 17 could could MD 63372 272 18 be be VB 63372 272 19 learned learn VBN 63372 272 20 about about IN 63372 272 21 him -PRON- PRP 63372 272 22 on on IN 63372 272 23 the the DT 63372 272 24 American american JJ 63372 272 25 side side NN 63372 272 26 of of IN 63372 272 27 the the DT 63372 272 28 water water NN 63372 272 29 beyond beyond IN 63372 272 30 the the DT 63372 272 31 bare bare JJ 63372 272 32 facts fact NNS 63372 272 33 that that IN 63372 272 34 he -PRON- PRP 63372 272 35 was be VBD 63372 272 36 not not RB 63372 272 37 a a DT 63372 272 38 young young JJ 63372 272 39 man man NN 63372 272 40 , , , 63372 272 41 and and CC 63372 272 42 that that IN 63372 272 43 he -PRON- PRP 63372 272 44 had have VBD 63372 272 45 for for IN 63372 272 46 a a DT 63372 272 47 good good JJ 63372 272 48 many many JJ 63372 272 49 years year NNS 63372 272 50 occupied occupy VBD 63372 272 51 a a DT 63372 272 52 position position NN 63372 272 53 of of IN 63372 272 54 rank rank NN 63372 272 55 in in IN 63372 272 56 the the DT 63372 272 57 British British NNP 63372 272 58 Patent Patent NNP 63372 272 59 Office Office NNP 63372 272 60 . . . 63372 273 1 ( ( -LRB- 63372 273 2 It -PRON- PRP 63372 273 3 will will MD 63372 273 4 be be VB 63372 273 5 recalled recall VBN 63372 273 6 that that IN 63372 273 7 Einstein Einstein NNP 63372 273 8 himself -PRON- PRP 63372 273 9 was be VBD 63372 273 10 in in IN 63372 273 11 the the DT 63372 273 12 Swiss Swiss NNP 63372 273 13 Patent Patent NNP 63372 273 14 Office Office NNP 63372 273 15 for for IN 63372 273 16 some some DT 63372 273 17 time time NN 63372 273 18 . . . 63372 273 19 ) ) -RRB- 63372 274 1 In in IN 63372 274 2 response response NN 63372 274 3 to to IN 63372 274 4 the the DT 63372 274 5 request request NN 63372 274 6 of of IN 63372 274 7 the the DT 63372 274 8 Scientific Scientific NNP 63372 274 9 American American NNP 63372 274 10 for for IN 63372 274 11 a a DT 63372 274 12 brief brief JJ 63372 274 13 biographical biographical JJ 63372 274 14 sketch sketch NN 63372 274 15 that that WDT 63372 274 16 would would MD 63372 274 17 serve serve VB 63372 274 18 to to TO 63372 274 19 introduce introduce VB 63372 274 20 him -PRON- PRP 63372 274 21 better well RBR 63372 274 22 to to IN 63372 274 23 our -PRON- PRP$ 63372 274 24 readers reader NNS 63372 274 25 , , , 63372 274 26 Mr. Mr. NNP 63372 274 27 Bolton Bolton NNP 63372 274 28 supplied supply VBD 63372 274 29 such such PDT 63372 274 30 a a DT 63372 274 31 concise concise NN 63372 274 32 and and CC 63372 274 33 apparently apparently RB 63372 274 34 such such PDT 63372 274 35 a a DT 63372 274 36 characteristic characteristic JJ 63372 274 37 statement statement NN 63372 274 38 that that WDT 63372 274 39 we -PRON- PRP 63372 274 40 can can MD 63372 274 41 do do VB 63372 274 42 no no RB 63372 274 43 better well RBR 63372 274 44 than than IN 63372 274 45 quote quote VB 63372 274 46 it -PRON- PRP 63372 274 47 verbatim verbatim JJ 63372 274 48 . . . 63372 275 1 " " `` 63372 275 2 I -PRON- PRP 63372 275 3 was be VBD 63372 275 4 born bear VBN 63372 275 5 in in IN 63372 275 6 Dublin Dublin NNP 63372 275 7 in in IN 63372 275 8 1860 1860 CD 63372 275 9 , , , 63372 275 10 but but CC 63372 275 11 I -PRON- PRP 63372 275 12 have have VBP 63372 275 13 lived live VBN 63372 275 14 in in IN 63372 275 15 England England NNP 63372 275 16 since since IN 63372 275 17 1869 1869 CD 63372 275 18 . . . 63372 276 1 My -PRON- PRP$ 63372 276 2 family family NN 63372 276 3 belonged belong VBD 63372 276 4 to to IN 63372 276 5 the the DT 63372 276 6 landed landed JJ 63372 276 7 gentry gentry NN 63372 276 8 class class NN 63372 276 9 , , , 63372 276 10 but but CC 63372 276 11 I -PRON- PRP 63372 276 12 owe owe VBP 63372 276 13 nothing nothing NN 63372 276 14 to to TO 63372 276 15 wealth wealth NN 63372 276 16 or or CC 63372 276 17 position position NN 63372 276 18 . . . 63372 277 1 I -PRON- PRP 63372 277 2 was be VBD 63372 277 3 in in IN 63372 277 4 fact fact NN 63372 277 5 put put VBN 63372 277 6 through through IN 63372 277 7 school school NN 63372 277 8 and and CC 63372 277 9 college college NN 63372 277 10 on on IN 63372 277 11 an an DT 63372 277 12 income income NN 63372 277 13 which which WDT 63372 277 14 a a DT 63372 277 15 workman workman NN 63372 277 16 would would MD 63372 277 17 despise despise VB 63372 277 18 nowadays nowadays RB 63372 277 19 . . . 63372 278 1 After after IN 63372 278 2 attending attend VBG 63372 278 3 sundry sundry JJ 63372 278 4 small small JJ 63372 278 5 schools school NNS 63372 278 6 , , , 63372 278 7 I -PRON- PRP 63372 278 8 entered enter VBD 63372 278 9 Clifton Clifton NNP 63372 278 10 College College NNP 63372 278 11 in in IN 63372 278 12 1873 1873 CD 63372 278 13 . . . 63372 279 1 My -PRON- PRP$ 63372 279 2 career career NN 63372 279 3 there there EX 63372 279 4 was be VBD 63372 279 5 checkered checker VBN 63372 279 6 , , , 63372 279 7 but but CC 63372 279 8 it -PRON- PRP 63372 279 9 ended end VBD 63372 279 10 well well RB 63372 279 11 . . . 63372 280 1 I -PRON- PRP 63372 280 2 was be VBD 63372 280 3 always always RB 63372 280 4 fairly fairly RB 63372 280 5 good good JJ 63372 280 6 at at IN 63372 280 7 natural natural JJ 63372 280 8 science science NN 63372 280 9 and and CC 63372 280 10 very very RB 63372 280 11 fond fond JJ 63372 280 12 of of IN 63372 280 13 all all DT 63372 280 14 sorts sort NNS 63372 280 15 of of IN 63372 280 16 mechanical mechanical JJ 63372 280 17 things thing NNS 63372 280 18 . . . 63372 281 1 I -PRON- PRP 63372 281 2 was be VBD 63372 281 3 an an DT 63372 281 4 honest honest JJ 63372 281 5 worker worker NN 63372 281 6 but but CC 63372 281 7 no no DT 63372 281 8 use use NN 63372 281 9 at at IN 63372 281 10 classics classic NNS 63372 281 11 , , , 63372 281 12 and and CC 63372 281 13 as as IN 63372 281 14 I -PRON- PRP 63372 281 15 did do VBD 63372 281 16 practically practically RB 63372 281 17 nothing nothing NN 63372 281 18 else else RB 63372 281 19 for for IN 63372 281 20 the the DT 63372 281 21 first first JJ 63372 281 22 four four CD 63372 281 23 years year NNS 63372 281 24 at at IN 63372 281 25 Clifton Clifton NNP 63372 281 26 , , , 63372 281 27 I -PRON- PRP 63372 281 28 came come VBD 63372 281 29 to to TO 63372 281 30 consider consider VB 63372 281 31 myself -PRON- PRP 63372 281 32 something something NN 63372 281 33 of of IN 63372 281 34 a a DT 63372 281 35 dunce dunce NN 63372 281 36 . . . 63372 282 1 But but CC 63372 282 2 a a DT 63372 282 3 big big JJ 63372 282 4 public public JJ 63372 282 5 school school NN 63372 282 6 is be VBZ 63372 282 7 a a DT 63372 282 8 little little JJ 63372 282 9 world world NN 63372 282 10 . . . 63372 283 1 Everyone everyone NN 63372 283 2 gets get VBZ 63372 283 3 an an DT 63372 283 4 opportunity opportunity NN 63372 283 5 , , , 63372 283 6 often often RB 63372 283 7 seemingly seemingly RB 63372 283 8 by by IN 63372 283 9 accident accident NN 63372 283 10 , , , 63372 283 11 and and CC 63372 283 12 it -PRON- PRP 63372 283 13 is be VBZ 63372 283 14 up up IN 63372 283 15 to to IN 63372 283 16 him -PRON- PRP 63372 283 17 to to TO 63372 283 18 take take VB 63372 283 19 it -PRON- PRP 63372 283 20 . . . 63372 284 1 Mine -PRON- PRP 63372 284 2 did do VBD 63372 284 3 not not RB 63372 284 4 come come VB 63372 284 5 till till IN 63372 284 6 I -PRON- PRP 63372 284 7 was be VBD 63372 284 8 nearly nearly RB 63372 284 9 17 17 CD 63372 284 10 . . . 63372 285 1 As as IN 63372 285 2 I -PRON- PRP 63372 285 3 was be VBD 63372 285 4 intended intend VBN 63372 285 5 for for IN 63372 285 6 the the DT 63372 285 7 engineering engineering NN 63372 285 8 profession profession NN 63372 285 9 , , , 63372 285 10 I -PRON- PRP 63372 285 11 was be VBD 63372 285 12 sent send VBN 63372 285 13 to to IN 63372 285 14 the the DT 63372 285 15 military military JJ 63372 285 16 side side NN 63372 285 17 of of IN 63372 285 18 the the DT 63372 285 19 school school NN 63372 285 20 in in IN 63372 285 21 order order NN 63372 285 22 to to TO 63372 285 23 learn learn VB 63372 285 24 some some DT 63372 285 25 mathematics mathematic NNS 63372 285 26 , , , 63372 285 27 at at IN 63372 285 28 which which WDT 63372 285 29 subject subject NN 63372 285 30 I -PRON- PRP 63372 285 31 was be VBD 63372 285 32 then then RB 63372 285 33 considered consider VBN 63372 285 34 very very RB 63372 285 35 weak weak JJ 63372 285 36 . . . 63372 286 1 This this DT 63372 286 2 was be VBD 63372 286 3 certainly certainly RB 63372 286 4 true true JJ 63372 286 5 , , , 63372 286 6 as as IN 63372 286 7 at at IN 63372 286 8 that that DT 63372 286 9 time time NN 63372 286 10 I -PRON- PRP 63372 286 11 barely barely RB 63372 286 12 knew know VBD 63372 286 13 how how WRB 63372 286 14 to to TO 63372 286 15 solve solve VB 63372 286 16 a a DT 63372 286 17 quadratic quadratic NN 63372 286 18 , , , 63372 286 19 I -PRON- PRP 63372 286 20 was be VBD 63372 286 21 only only RB 63372 286 22 about about IN 63372 286 23 halfway halfway RB 63372 286 24 through through IN 63372 286 25 the the DT 63372 286 26 third third JJ 63372 286 27 book book NN 63372 286 28 of of IN 63372 286 29 Euclid Euclid NNP 63372 286 30 , , , 63372 286 31 and and CC 63372 286 32 I -PRON- PRP 63372 286 33 knew know VBD 63372 286 34 no no DT 63372 286 35 trigonometry trigonometry NN 63372 286 36 . . . 63372 287 1 But but CC 63372 287 2 the the DT 63372 287 3 teaching teaching NN 63372 287 4 was be VBD 63372 287 5 inspiring inspiring JJ 63372 287 6 , , , 63372 287 7 and and CC 63372 287 8 I -PRON- PRP 63372 287 9 took take VBD 63372 287 10 readily readily RB 63372 287 11 to to IN 63372 287 12 mathematics mathematic NNS 63372 287 13 . . . 63372 288 1 One one CD 63372 288 2 day day NN 63372 288 3 it -PRON- PRP 63372 288 4 came come VBD 63372 288 5 out out RP 63372 288 6 that that IN 63372 288 7 I -PRON- PRP 63372 288 8 had have VBD 63372 288 9 been be VBN 63372 288 10 making make VBG 63372 288 11 quite quite PDT 63372 288 12 a a DT 63372 288 13 good good JJ 63372 288 14 start start NN 63372 288 15 with with IN 63372 288 16 the the DT 63372 288 17 differential differential JJ 63372 288 18 calculus calculus NN 63372 288 19 on on IN 63372 288 20 my -PRON- PRP$ 63372 288 21 own own JJ 63372 288 22 without without IN 63372 288 23 telling tell VBG 63372 288 24 anybody anybody NN 63372 288 25 . . . 63372 289 1 After after IN 63372 289 2 that that DT 63372 289 3 all all DT 63372 289 4 was be VBD 63372 289 5 well well RB 63372 289 6 . . . 63372 290 1 I -PRON- PRP 63372 290 2 left leave VBD 63372 290 3 Clifton Clifton NNP 63372 290 4 in in IN 63372 290 5 1880 1880 CD 63372 290 6 with with IN 63372 290 7 a a DT 63372 290 8 School School NNP 63372 290 9 Exhibition Exhibition NNP 63372 290 10 and and CC 63372 290 11 a a DT 63372 290 12 mathematical mathematical JJ 63372 290 13 scholarship scholarship NN 63372 290 14 at at IN 63372 290 15 Clare Clare NNP 63372 290 16 College College NNP 63372 290 17 , , , 63372 290 18 Cambridge Cambridge NNP 63372 290 19 . . . 63372 291 1 " " `` 63372 291 2 After after IN 63372 291 3 taking take VBG 63372 291 4 my -PRON- PRP$ 63372 291 5 degree degree NN 63372 291 6 in in IN 63372 291 7 1883 1883 CD 63372 291 8 as as IN 63372 291 9 a a DT 63372 291 10 Wrangler Wrangler NNP 63372 291 11 , , , 63372 291 12 I -PRON- PRP 63372 291 13 taught teach VBD 63372 291 14 science science NN 63372 291 15 and and CC 63372 291 16 mathematics mathematic NNS 63372 291 17 at at IN 63372 291 18 Wellington Wellington NNP 63372 291 19 College College NNP 63372 291 20 , , , 63372 291 21 but but CC 63372 291 22 I -PRON- PRP 63372 291 23 was be VBD 63372 291 24 attracted attract VBN 63372 291 25 by by IN 63372 291 26 what what WP 63372 291 27 I -PRON- PRP 63372 291 28 had have VBD 63372 291 29 heard hear VBN 63372 291 30 of of IN 63372 291 31 the the DT 63372 291 32 Patent Patent NNP 63372 291 33 Office Office NNP 63372 291 34 and and CC 63372 291 35 I -PRON- PRP 63372 291 36 entered enter VBD 63372 291 37 it -PRON- PRP 63372 291 38 through through IN 63372 291 39 open open JJ 63372 291 40 competition competition NN 63372 291 41 in in IN 63372 291 42 1885 1885 CD 63372 291 43 . . . 63372 292 1 During during IN 63372 292 2 my -PRON- PRP$ 63372 292 3 official official JJ 63372 292 4 career career NN 63372 292 5 I -PRON- PRP 63372 292 6 have have VBP 63372 292 7 been be VBN 63372 292 8 one one CD 63372 292 9 of of IN 63372 292 10 the the DT 63372 292 11 Comptroller Comptroller NNP 63372 292 12 's 's POS 63372 292 13 private private JJ 63372 292 14 secretaries secretary NNS 63372 292 15 and and CC 63372 292 16 I -PRON- PRP 63372 292 17 am be VBP 63372 292 18 now now RB 63372 292 19 a a DT 63372 292 20 Senior Senior NNP 63372 292 21 Examiner Examiner NNP 63372 292 22 . . . 63372 293 1 During during IN 63372 293 2 the the DT 63372 293 3 war war NN 63372 293 4 I -PRON- PRP 63372 293 5 was be VBD 63372 293 6 attached attach VBN 63372 293 7 to to IN 63372 293 8 the the DT 63372 293 9 Inventions Inventions NNP 63372 293 10 Department Department NNP 63372 293 11 of of IN 63372 293 12 the the DT 63372 293 13 Ministry Ministry NNP 63372 293 14 of of IN 63372 293 15 Munitions Munitions NNPS 63372 293 16 , , , 63372 293 17 where where WRB 63372 293 18 my -PRON- PRP$ 63372 293 19 work work NN 63372 293 20 related relate VBN 63372 293 21 mainly mainly RB 63372 293 22 to to IN 63372 293 23 anti anti JJ 63372 293 24 - - JJ 63372 293 25 aircraft aircraft JJ 63372 293 26 gunnery gunnery NN 63372 293 27 . . . 63372 294 1 I -PRON- PRP 63372 294 2 have have VBP 63372 294 3 contributed contribute VBN 63372 294 4 , , , 63372 294 5 and and CC 63372 294 6 am be VBP 63372 294 7 still still RB 63372 294 8 contributing contribute VBG 63372 294 9 to to IN 63372 294 10 official official JJ 63372 294 11 publications publication NNS 63372 294 12 on on IN 63372 294 13 the the DT 63372 294 14 subject subject NN 63372 294 15 . . . 63372 295 1 " " `` 63372 295 2 I -PRON- PRP 63372 295 3 have have VBP 63372 295 4 written write VBN 63372 295 5 a a DT 63372 295 6 fair fair JJ 63372 295 7 number number NN 63372 295 8 of of IN 63372 295 9 essays essay NNS 63372 295 10 on on IN 63372 295 11 various various JJ 63372 295 12 subjects subject NNS 63372 295 13 , , , 63372 295 14 even even RB 63372 295 15 on on IN 63372 295 16 literature literature NN 63372 295 17 , , , 63372 295 18 but but CC 63372 295 19 my -PRON- PRP$ 63372 295 20 only only JJ 63372 295 21 extra extra JJ 63372 295 22 - - HYPH 63372 295 23 official official JJ 63372 295 24 publications publication NNS 63372 295 25 relate relate VBP 63372 295 26 to to IN 63372 295 27 stereoscopic stereoscopic JJ 63372 295 28 photography photography NN 63372 295 29 . . . 63372 296 1 I -PRON- PRP 63372 296 2 read read VBD 63372 296 3 a a DT 63372 296 4 paper paper NN 63372 296 5 on on IN 63372 296 6 this this DT 63372 296 7 subject subject NN 63372 296 8 before before IN 63372 296 9 the the DT 63372 296 10 Royal Royal NNP 63372 296 11 Photographic Photographic NNP 63372 296 12 Society Society NNP 63372 296 13 in in IN 63372 296 14 1903 1903 CD 63372 296 15 which which WDT 63372 296 16 was be VBD 63372 296 17 favorably favorably RB 63372 296 18 noticed notice VBN 63372 296 19 by by IN 63372 296 20 Dr. Dr. NNP 63372 296 21 von von NNP 63372 296 22 Rohr Rohr NNP 63372 296 23 of of IN 63372 296 24 Messrs. Messrs. NNP 63372 296 25 Zeiss Zeiss NNP 63372 296 26 of of IN 63372 296 27 Jena Jena NNP 63372 296 28 . . . 63372 297 1 I -PRON- PRP 63372 297 2 have have VBP 63372 297 3 also also RB 63372 297 4 written write VBN 63372 297 5 in in IN 63372 297 6 the the DT 63372 297 7 Amateur Amateur NNP 63372 297 8 Photographer Photographer NNP 63372 297 9 . . . 63372 298 1 " " `` 63372 298 2 I -PRON- PRP 63372 298 3 have have VBP 63372 298 4 been be VBN 63372 298 5 fairly fairly RB 63372 298 6 successful successful JJ 63372 298 7 at at IN 63372 298 8 athletics athletic NNS 63372 298 9 , , , 63372 298 10 and and CC 63372 298 11 I -PRON- PRP 63372 298 12 am be VBP 63372 298 13 a a DT 63372 298 14 member member NN 63372 298 15 of of IN 63372 298 16 the the DT 63372 298 17 Leander Leander NNP 63372 298 18 Club Club NNP 63372 298 19 . . . 63372 298 20 " " '' 63372 299 1 That that IN 63372 299 2 Mr. Mr. NNP 63372 299 3 Bolton Bolton NNP 63372 299 4 did do VBD 63372 299 5 not not RB 63372 299 6 take take VB 63372 299 7 the the DT 63372 299 8 prize prize NN 63372 299 9 through through IN 63372 299 10 default default NN 63372 299 11 of of IN 63372 299 12 serious serious JJ 63372 299 13 competition competition NN 63372 299 14 should should MD 63372 299 15 be be VB 63372 299 16 plain plain JJ 63372 299 17 to to IN 63372 299 18 any any DT 63372 299 19 reader reader NN 63372 299 20 who who WP 63372 299 21 examines examine VBZ 63372 299 22 the the DT 63372 299 23 text text NN 63372 299 24 from from IN 63372 299 25 competing compete VBG 63372 299 26 essays essay NNS 63372 299 27 which which WDT 63372 299 28 is be VBZ 63372 299 29 to to TO 63372 299 30 be be VB 63372 299 31 found find VBN 63372 299 32 in in IN 63372 299 33 this this DT 63372 299 34 volume volume NN 63372 299 35 . . . 63372 300 1 The the DT 63372 300 2 reference reference NN 63372 300 3 list list NN 63372 300 4 of of IN 63372 300 5 these these DT 63372 300 6 competitors competitor NNS 63372 300 7 , , , 63372 300 8 too too RB 63372 300 9 , , , 63372 300 10 supplemented supplement VBN 63372 300 11 by by IN 63372 300 12 the the DT 63372 300 13 names name NNS 63372 300 14 that that WDT 63372 300 15 appear appear VBP 63372 300 16 at at IN 63372 300 17 the the DT 63372 300 18 heads head NNS 63372 300 19 of of IN 63372 300 20 complete complete JJ 63372 300 21 essays essay NNS 63372 300 22 , , , 63372 300 23 shows show VBZ 63372 300 24 a a DT 63372 300 25 notable notable JJ 63372 300 26 array array NN 63372 300 27 of of IN 63372 300 28 distinguished distinguished JJ 63372 300 29 personalities personality NNS 63372 300 30 , , , 63372 300 31 and and CC 63372 300 32 I -PRON- PRP 63372 300 33 could could MD 63372 300 34 mention mention VB 63372 300 35 perhaps perhaps RB 63372 300 36 a a DT 63372 300 37 dozen dozen NN 63372 300 38 more more RBR 63372 300 39 very very RB 63372 300 40 well well RB 63372 300 41 known know VBN 63372 300 42 men man NNS 63372 300 43 of of IN 63372 300 44 science science NN 63372 300 45 whose whose WP$ 63372 300 46 excellent excellent JJ 63372 300 47 essays essay NNS 63372 300 48 have have VBP 63372 300 49 seemed seem VBN 63372 300 50 a a DT 63372 300 51 trifle trifle NN 63372 300 52 too too RB 63372 300 53 advanced advanced JJ 63372 300 54 for for IN 63372 300 55 our -PRON- PRP$ 63372 300 56 immediate immediate JJ 63372 300 57 use use NN 63372 300 58 , , , 63372 300 59 but but CC 63372 300 60 to to IN 63372 300 61 whom whom WP 63372 300 62 I -PRON- PRP 63372 300 63 am be VBP 63372 300 64 under under IN 63372 300 65 a a DT 63372 300 66 good good JJ 63372 300 67 deal deal NN 63372 300 68 of of IN 63372 300 69 obligation obligation NN 63372 300 70 for for IN 63372 300 71 some some DT 63372 300 72 of of IN 63372 300 73 the the DT 63372 300 74 ideas idea NNS 63372 300 75 which which WDT 63372 300 76 I -PRON- PRP 63372 300 77 have have VBP 63372 300 78 attempted attempt VBN 63372 300 79 to to TO 63372 300 80 clothe clothe VB 63372 300 81 in in IN 63372 300 82 my -PRON- PRP$ 63372 300 83 own own JJ 63372 300 84 language language NN 63372 300 85 . . . 63372 301 1 Before before IN 63372 301 2 leaving leave VBG 63372 301 3 the the DT 63372 301 4 subject subject NN 63372 301 5 , , , 63372 301 6 we -PRON- PRP 63372 301 7 wish wish VBP 63372 301 8 to to TO 63372 301 9 say say VB 63372 301 10 here here RB 63372 301 11 a a DT 63372 301 12 word word NN 63372 301 13 of of IN 63372 301 14 appreciation appreciation NN 63372 301 15 for for IN 63372 301 16 the the DT 63372 301 17 manner manner NN 63372 301 18 in in IN 63372 301 19 which which WDT 63372 301 20 the the DT 63372 301 21 Judges Judges NNPS 63372 301 22 have have VBP 63372 301 23 discharged discharge VBN 63372 301 24 their -PRON- PRP$ 63372 301 25 duties duty NNS 63372 301 26 . . . 63372 302 1 The the DT 63372 302 2 reader reader NN 63372 302 3 will will MD 63372 302 4 have have VB 63372 302 5 difficulty difficulty NN 63372 302 6 in in IN 63372 302 7 realizing realize VBG 63372 302 8 what what WP 63372 302 9 it -PRON- PRP 63372 302 10 means mean VBZ 63372 302 11 to to TO 63372 302 12 read read VB 63372 302 13 such such PDT 63372 302 14 a a DT 63372 302 15 number number NN 63372 302 16 of of IN 63372 302 17 essays essay NNS 63372 302 18 on on IN 63372 302 19 such such PDT 63372 302 20 a a DT 63372 302 21 subject subject NN 63372 302 22 . . . 63372 303 1 We -PRON- PRP 63372 303 2 were be VBD 63372 303 3 fortunate fortunate JJ 63372 303 4 beyond beyond IN 63372 303 5 all all DT 63372 303 6 expectation expectation NN 63372 303 7 in in IN 63372 303 8 finding find VBG 63372 303 9 Judges Judges NNPS 63372 303 10 who who WP 63372 303 11 combined combine VBD 63372 303 12 a a DT 63372 303 13 thorough thorough JJ 63372 303 14 scientific scientific JJ 63372 303 15 grasp grasp NN 63372 303 16 of of IN 63372 303 17 the the DT 63372 303 18 mathematical mathematical JJ 63372 303 19 and and CC 63372 303 20 physical physical JJ 63372 303 21 and and CC 63372 303 22 philosophical philosophical JJ 63372 303 23 aspects aspect NNS 63372 303 24 of of IN 63372 303 25 the the DT 63372 303 26 matter matter NN 63372 303 27 with with IN 63372 303 28 an an DT 63372 303 29 extremely extremely RB 63372 303 30 human human JJ 63372 303 31 viewpoint viewpoint NN 63372 303 32 which which WDT 63372 303 33 precluded preclude VBD 63372 303 34 any any DT 63372 303 35 possibility possibility NN 63372 303 36 of of IN 63372 303 37 an an DT 63372 303 38 award award NN 63372 303 39 to to IN 63372 303 40 an an DT 63372 303 41 essay essay NN 63372 303 42 that that WDT 63372 303 43 was be VBD 63372 303 44 not not RB 63372 303 45 properly properly RB 63372 303 46 a a DT 63372 303 47 popular popular JJ 63372 303 48 discussion discussion NN 63372 303 49 , , , 63372 303 50 and and CC 63372 303 51 with with IN 63372 303 52 a a DT 63372 303 53 willingness willingness NN 63372 303 54 to to TO 63372 303 55 go go VB 63372 303 56 to to TO 63372 303 57 meet meet VB 63372 303 58 each each DT 63372 303 59 other other JJ 63372 303 60 's 's POS 63372 303 61 opinions opinion NNS 63372 303 62 that that WDT 63372 303 63 is be VBZ 63372 303 64 rare rare JJ 63372 303 65 , , , 63372 303 66 even even RB 63372 303 67 among among IN 63372 303 68 those those DT 63372 303 69 with with IN 63372 303 70 less less JJR 63372 303 71 ground ground NN 63372 303 72 for for IN 63372 303 73 confidence confidence NN 63372 303 74 in in IN 63372 303 75 their -PRON- PRP$ 63372 303 76 own own JJ 63372 303 77 views view NNS 63372 303 78 than than IN 63372 303 79 is be VBZ 63372 303 80 possessed possess VBN 63372 303 81 by by IN 63372 303 82 Drs Drs NNP 63372 303 83 . . . 63372 304 1 Page page NN 63372 304 2 and and CC 63372 304 3 Adams Adams NNP 63372 304 4 . . . 63372 305 1 II ii CD 63372 305 2 . . . 63372 306 1 THE the DT 63372 306 2 WORLD world NN 63372 306 3 -- -- : 63372 306 4 AND and CC 63372 306 5 US US NNP 63372 306 6 An an DT 63372 306 7 Introductory Introductory NNP 63372 306 8 Discussion Discussion NNP 63372 306 9 of of IN 63372 306 10 the the DT 63372 306 11 Philosophy Philosophy NNP 63372 306 12 of of IN 63372 306 13 Relativity Relativity NNP 63372 306 14 , , , 63372 306 15 and and CC 63372 306 16 of of IN 63372 306 17 the the DT 63372 306 18 Mechanism Mechanism NNP 63372 306 19 of of IN 63372 306 20 Our -PRON- PRP$ 63372 306 21 Contact Contact NNP 63372 306 22 with with IN 63372 306 23 Time Time NNP 63372 306 24 and and CC 63372 306 25 Space Space NNP 63372 306 26 BY by IN 63372 306 27 VARIOUS VARIOUS NNP 63372 306 28 CONTRIBUTORS CONTRIBUTORS NNP 63372 306 29 AND and CC 63372 306 30 THE the DT 63372 306 31 EDITOR EDITOR NNP 63372 306 32 From from IN 63372 306 33 a a DT 63372 306 34 time time NN 63372 306 35 beyond beyond IN 63372 306 36 the the DT 63372 306 37 dawn dawn NN 63372 306 38 of of IN 63372 306 39 history history NN 63372 306 40 , , , 63372 306 41 mankind mankind NN 63372 306 42 has have VBZ 63372 306 43 been be VBN 63372 306 44 seeking seek VBG 63372 306 45 to to TO 63372 306 46 explain explain VB 63372 306 47 the the DT 63372 306 48 universe universe NN 63372 306 49 . . . 63372 307 1 At at IN 63372 307 2 first first RB 63372 307 3 the the DT 63372 307 4 effort effort NN 63372 307 5 did do VBD 63372 307 6 not not RB 63372 307 7 concern concern VB 63372 307 8 itself -PRON- PRP 63372 307 9 further further RB 63372 307 10 probably probably RB 63372 307 11 than than IN 63372 307 12 to to TO 63372 307 13 make make VB 63372 307 14 a a DT 63372 307 15 supposition supposition NN 63372 307 16 as as IN 63372 307 17 to to IN 63372 307 18 what what WP 63372 307 19 were be VBD 63372 307 20 the the DT 63372 307 21 causes cause NNS 63372 307 22 of of IN 63372 307 23 the the DT 63372 307 24 various various JJ 63372 307 25 phenomena phenomenon NNS 63372 307 26 presented present VBN 63372 307 27 to to IN 63372 307 28 the the DT 63372 307 29 senses sense NNS 63372 307 30 . . . 63372 308 1 As as IN 63372 308 2 knowledge knowledge NN 63372 308 3 increased increase VBD 63372 308 4 , , , 63372 308 5 first first RB 63372 308 6 by by IN 63372 308 7 observation observation NN 63372 308 8 and and CC 63372 308 9 later later RB 63372 308 10 by by IN 63372 308 11 experiment experiment NN 63372 308 12 also also RB 63372 308 13 , , , 63372 308 14 the the DT 63372 308 15 ideas idea NNS 63372 308 16 as as IN 63372 308 17 to to IN 63372 308 18 these these DT 63372 308 19 causes cause NNS 63372 308 20 passed pass VBN 63372 308 21 progressively progressively RB 63372 308 22 through through IN 63372 308 23 three three CD 63372 308 24 stages stage NNS 63372 308 25 -- -- : 63372 308 26 the the DT 63372 308 27 theological theological JJ 63372 308 28 ( ( -LRB- 63372 308 29 the the DT 63372 308 30 causes cause NNS 63372 308 31 were be VBD 63372 308 32 thought think VBN 63372 308 33 to to TO 63372 308 34 be be VB 63372 308 35 spirits spirit NNS 63372 308 36 or or CC 63372 308 37 gods god NNS 63372 308 38 ) ) -RRB- 63372 308 39 ; ; : 63372 308 40 the the DT 63372 308 41 metaphysical metaphysical JJ 63372 308 42 ( ( -LRB- 63372 308 43 the the DT 63372 308 44 causes cause NNS 63372 308 45 were be VBD 63372 308 46 thought think VBN 63372 308 47 in in IN 63372 308 48 this this DT 63372 308 49 secondary secondary JJ 63372 308 50 or or CC 63372 308 51 intermediate intermediate JJ 63372 308 52 stage stage NN 63372 308 53 to to TO 63372 308 54 be be VB 63372 308 55 some some DT 63372 308 56 inherent inherent JJ 63372 308 57 , , , 63372 308 58 animating animate VBG 63372 308 59 , , , 63372 308 60 energizing energize VBG 63372 308 61 principles principle NNS 63372 308 62 ) ) -RRB- 63372 308 63 ; ; : 63372 308 64 and and CC 63372 308 65 the the DT 63372 308 66 scientific scientific JJ 63372 308 67 ( ( -LRB- 63372 308 68 the the DT 63372 308 69 causes cause NNS 63372 308 70 were be VBD 63372 308 71 finally finally RB 63372 308 72 thought think VBN 63372 308 73 of of IN 63372 308 74 as as RB 63372 308 75 simply simply RB 63372 308 76 mechanical mechanical JJ 63372 308 77 , , , 63372 308 78 chemical chemical JJ 63372 308 79 , , , 63372 308 80 and and CC 63372 308 81 magneto magneto NN 63372 308 82 - - HYPH 63372 308 83 electrical electrical JJ 63372 308 84 attractions attraction NNS 63372 308 85 and and CC 63372 308 86 repulsions repulsion NNS 63372 308 87 , , , 63372 308 88 qualities quality NNS 63372 308 89 or or CC 63372 308 90 characteristics characteristic NNS 63372 308 91 of of IN 63372 308 92 matter matter NN 63372 308 93 itself -PRON- PRP 63372 308 94 , , , 63372 308 95 or or CC 63372 308 96 of of IN 63372 308 97 the the DT 63372 308 98 thing thing NN 63372 308 99 of of IN 63372 308 100 which which WDT 63372 308 101 matter matter NN 63372 308 102 is be VBZ 63372 308 103 itself -PRON- PRP 63372 308 104 composed compose VBN 63372 308 105 . . . 63372 308 106 ) ) -RRB- 63372 309 1 With with IN 63372 309 2 increase increase NN 63372 309 3 of of IN 63372 309 4 knowledge knowledge NN 63372 309 5 , , , 63372 309 6 and and CC 63372 309 7 along along IN 63372 309 8 with with IN 63372 309 9 the the DT 63372 309 10 inquiry inquiry NN 63372 309 11 as as IN 63372 309 12 to to IN 63372 309 13 the the DT 63372 309 14 nature nature NN 63372 309 15 of of IN 63372 309 16 causes cause NNS 63372 309 17 , , , 63372 309 18 there there EX 63372 309 19 arose arise VBD 63372 309 20 an an DT 63372 309 21 inquiry inquiry NN 63372 309 22 also also RB 63372 309 23 as as IN 63372 309 24 to to IN 63372 309 25 what what WDT 63372 309 26 reality reality NN 63372 309 27 was be VBD 63372 309 28 . . . 63372 310 1 What what WP 63372 310 2 was be VBD 63372 310 3 the the DT 63372 310 4 essential essential JJ 63372 310 5 nature nature NN 63372 310 6 of of IN 63372 310 7 the the DT 63372 310 8 stuff stuff NN 63372 310 9 of of IN 63372 310 10 which which WDT 63372 310 11 the the DT 63372 310 12 universe universe NN 63372 310 13 was be VBD 63372 310 14 made make VBN 63372 310 15 , , , 63372 310 16 what what WP 63372 310 17 was be VBD 63372 310 18 matter matter NN 63372 310 19 , , , 63372 310 20 what what WP 63372 310 21 were be VBD 63372 310 22 things thing NNS 63372 310 23 in in IN 63372 310 24 themselves -PRON- PRP 63372 310 25 , , , 63372 310 26 what what WP 63372 310 27 were be VBD 63372 310 28 the the DT 63372 310 29 noumena noumena NN 63372 310 30 ( ( -LRB- 63372 310 31 the the DT 63372 310 32 realities reality NNS 63372 310 33 ) ) -RRB- 63372 310 34 , , , 63372 310 35 lying lie VBG 63372 310 36 back back RB 63372 310 37 of of IN 63372 310 38 the the DT 63372 310 39 phenomena phenomenon NNS 63372 310 40 ( ( -LRB- 63372 310 41 the the DT 63372 310 42 appearances appearance NNS 63372 310 43 ) ) -RRB- 63372 310 44 ? ? . 63372 311 1 Gradually gradually RB 63372 311 2 ideas idea NNS 63372 311 3 explaining explain VBG 63372 311 4 motion motion NN 63372 311 5 , , , 63372 311 6 force force NN 63372 311 7 , , , 63372 311 8 and and CC 63372 311 9 energy energy NN 63372 311 10 were be VBD 63372 311 11 developed develop VBN 63372 311 12 . . . 63372 312 1 At at IN 63372 312 2 the the DT 63372 312 3 same same JJ 63372 312 4 time time NN 63372 312 5 inquiry inquiry NN 63372 312 6 was be VBD 63372 312 7 made make VBN 63372 312 8 as as IN 63372 312 9 to to IN 63372 312 10 the the DT 63372 312 11 nature nature NN 63372 312 12 of of IN 63372 312 13 man man NN 63372 312 14 , , , 63372 312 15 the the DT 63372 312 16 working working NN 63372 312 17 of of IN 63372 312 18 his -PRON- PRP$ 63372 312 19 mind mind NN 63372 312 20 , , , 63372 312 21 the the DT 63372 312 22 nature nature NN 63372 312 23 of of IN 63372 312 24 thought thought NN 63372 312 25 , , , 63372 312 26 the the DT 63372 312 27 relation relation NN 63372 312 28 of of IN 63372 312 29 his -PRON- PRP$ 63372 312 30 concepts concept NNS 63372 312 31 ( ( -LRB- 63372 312 32 ideas idea NNS 63372 312 33 ) ) -RRB- 63372 312 34 to to IN 63372 312 35 his -PRON- PRP$ 63372 312 36 perceptions perception NNS 63372 312 37 ( ( -LRB- 63372 312 38 knowledge knowledge NN 63372 312 39 gained gain VBN 63372 312 40 through through IN 63372 312 41 the the DT 63372 312 42 sense sense NN 63372 312 43 ) ) -RRB- 63372 312 44 and and CC 63372 312 45 the the DT 63372 312 46 relations relation NNS 63372 312 47 of of IN 63372 312 48 both both DT 63372 312 49 to to IN 63372 312 50 the the DT 63372 312 51 noumena noumena NN 63372 312 52 ( ( -LRB- 63372 312 53 realities reality NNS 63372 312 54 ) ) -RRB- 63372 312 55 . . . 63372 313 1 ] ] -RRB- 63372 313 2 283 283 CD 63372 313 3 [ [ -LRB- 63372 313 4 The the DT 63372 313 5 general general JJ 63372 313 6 direction direction NN 63372 313 7 taken take VBN 63372 313 8 by by IN 63372 313 9 this this DT 63372 313 10 inquiry inquiry NN 63372 313 11 has have VBZ 63372 313 12 been be VBN 63372 313 13 that that DT 63372 313 14 of of IN 63372 313 15 a a DT 63372 313 16 conflict conflict NN 63372 313 17 between between IN 63372 313 18 two two CD 63372 313 19 schools school NNS 63372 313 20 of of IN 63372 313 21 thought thought NN 63372 313 22 which which WDT 63372 313 23 we -PRON- PRP 63372 313 24 may may MD 63372 313 25 characterize characterize VB 63372 313 26 as as IN 63372 313 27 those those DT 63372 313 28 of of IN 63372 313 29 absolutism absolutism NN 63372 313 30 and and CC 63372 313 31 of of IN 63372 313 32 relativism relativism NN 63372 313 33 . . . 63372 314 1 ] ] -RRB- 63372 314 2 * * NFP 63372 314 3 [ [ -LRB- 63372 314 4 The the DT 63372 314 5 ancient ancient JJ 63372 314 6 Greek greek JJ 63372 314 7 philosophers philosopher NNS 63372 314 8 believed believe VBD 63372 314 9 that that IN 63372 314 10 they -PRON- PRP 63372 314 11 could could MD 63372 314 12 tap tap VB 63372 314 13 a a DT 63372 314 14 source source NN 63372 314 15 of of IN 63372 314 16 knowledge knowledge NN 63372 314 17 pure pure JJ 63372 314 18 and and CC 63372 314 19 absolute absolute JJ 63372 314 20 by by IN 63372 314 21 sitting sit VBG 63372 314 22 down down RP 63372 314 23 in in IN 63372 314 24 a a DT 63372 314 25 chair chair NN 63372 314 26 and and CC 63372 314 27 reasoning reason VBG 63372 314 28 about about IN 63372 314 29 the the DT 63372 314 30 nature nature NN 63372 314 31 of of IN 63372 314 32 time time NN 63372 314 33 and and CC 63372 314 34 space space NN 63372 314 35 , , , 63372 314 36 and and CC 63372 314 37 the the DT 63372 314 38 mechanism mechanism NN 63372 314 39 of of IN 63372 314 40 the the DT 63372 314 41 physical physical JJ 63372 314 42 world world NN 63372 314 43 . . . 63372 315 1 ] ] -RRB- 63372 315 2 221 221 CD 63372 315 3 [ [ -LRB- 63372 315 4 They -PRON- PRP 63372 315 5 maintained maintain VBD 63372 315 6 that that IN 63372 315 7 the the DT 63372 315 8 mind mind NN 63372 315 9 holds hold VBZ 63372 315 10 in in IN 63372 315 11 its -PRON- PRP$ 63372 315 12 own own JJ 63372 315 13 right right JJ 63372 315 14 certain certain JJ 63372 315 15 concepts concept NNS 63372 315 16 than than IN 63372 315 17 which which WDT 63372 315 18 nothing nothing NN 63372 315 19 is be VBZ 63372 315 20 more more RBR 63372 315 21 fundamental fundamental JJ 63372 315 22 . . . 63372 316 1 They -PRON- PRP 63372 316 2 considered consider VBD 63372 316 3 it -PRON- PRP 63372 316 4 proper proper JJ 63372 316 5 to to TO 63372 316 6 conceive conceive VB 63372 316 7 of of IN 63372 316 8 time time NN 63372 316 9 and and CC 63372 316 10 space space NN 63372 316 11 and and CC 63372 316 12 matter matter NN 63372 316 13 and and CC 63372 316 14 the the DT 63372 316 15 other other JJ 63372 316 16 things thing NNS 63372 316 17 presented present VBN 63372 316 18 to to IN 63372 316 19 their -PRON- PRP$ 63372 316 20 senses sense NNS 63372 316 21 by by IN 63372 316 22 the the DT 63372 316 23 world world NN 63372 316 24 as as IN 63372 316 25 having have VBG 63372 316 26 a a DT 63372 316 27 real real JJ 63372 316 28 existence existence NN 63372 316 29 in in IN 63372 316 30 the the DT 63372 316 31 mind mind NN 63372 316 32 , , , 63372 316 33 regardless regardless RB 63372 316 34 of of IN 63372 316 35 whether whether IN 63372 316 36 any any DT 63372 316 37 external external JJ 63372 316 38 reality reality NN 63372 316 39 could could MD 63372 316 40 be be VB 63372 316 41 identified identify VBN 63372 316 42 with with IN 63372 316 43 the the DT 63372 316 44 concept concept NN 63372 316 45 as as RB 63372 316 46 ultimately ultimately RB 63372 316 47 put put VBN 63372 316 48 forth forth RP 63372 316 49 . . . 63372 317 1 They -PRON- PRP 63372 317 2 could could MD 63372 317 3 even even RB 63372 317 4 dispute dispute VB 63372 317 5 with with IN 63372 317 6 significance significance NN 63372 317 7 the the DT 63372 317 8 qualities quality NNS 63372 317 9 which which WDT 63372 317 10 were be VBD 63372 317 11 to to TO 63372 317 12 be be VB 63372 317 13 ascribed ascribe VBN 63372 317 14 to to IN 63372 317 15 this this DT 63372 317 16 abstract abstract JJ 63372 317 17 conceptual conceptual JJ 63372 317 18 time time NN 63372 317 19 and and CC 63372 317 20 space space NN 63372 317 21 and and CC 63372 317 22 matter matter NN 63372 317 23 . . . 63372 318 1 All all DT 63372 318 2 this this DT 63372 318 3 was be VBD 63372 318 4 done do VBN 63372 318 5 without without IN 63372 318 6 reference reference NN 63372 318 7 to to IN 63372 318 8 the the DT 63372 318 9 external external JJ 63372 318 10 reality reality NN 63372 318 11 , , , 63372 318 12 often often RB 63372 318 13 in in IN 63372 318 14 defiance defiance NN 63372 318 15 of of IN 63372 318 16 that that DT 63372 318 17 reality reality NN 63372 318 18 . . . 63372 319 1 The the DT 63372 319 2 mind mind NN 63372 319 3 could could MD 63372 319 4 picture picture VB 63372 319 5 the the DT 63372 319 6 world world NN 63372 319 7 as as IN 63372 319 8 it -PRON- PRP 63372 319 9 ought ought MD 63372 319 10 to to TO 63372 319 11 be be VB 63372 319 12 ; ; : 63372 319 13 if if IN 63372 319 14 the the DT 63372 319 15 recalcitrant recalcitrant JJ 63372 319 16 facts fact NNS 63372 319 17 refused refuse VBD 63372 319 18 to to TO 63372 319 19 fit fit VB 63372 319 20 into into IN 63372 319 21 the the DT 63372 319 22 picture picture NN 63372 319 23 , , , 63372 319 24 so so RB 63372 319 25 much much RB 63372 319 26 the the DT 63372 319 27 worse bad JJR 63372 319 28 for for IN 63372 319 29 them -PRON- PRP 63372 319 30 . . . 63372 320 1 We -PRON- PRP 63372 320 2 all all DT 63372 320 3 have have VBP 63372 320 4 heard hear VBN 63372 320 5 the the DT 63372 320 6 tale tale NN 63372 320 7 of of IN 63372 320 8 how how WRB 63372 320 9 generation generation NN 63372 320 10 after after IN 63372 320 11 generation generation NN 63372 320 12 of of IN 63372 320 13 Greek greek JJ 63372 320 14 philosophers philosopher NNS 63372 320 15 disputed dispute VBD 63372 320 16 learnedly learnedly RB 63372 320 17 why why WRB 63372 320 18 and and CC 63372 320 19 how how WRB 63372 320 20 it -PRON- PRP 63372 320 21 was be VBD 63372 320 22 that that IN 63372 320 23 a a DT 63372 320 24 live live JJ 63372 320 25 fish fish NN 63372 320 26 could could MD 63372 320 27 be be VB 63372 320 28 added add VBN 63372 320 29 to to IN 63372 320 30 a a DT 63372 320 31 brimming brimming NN 63372 320 32 pail pail NN 63372 320 33 of of IN 63372 320 34 water water NN 63372 320 35 without without IN 63372 320 36 raising raise VBG 63372 320 37 the the DT 63372 320 38 level level NN 63372 320 39 of of IN 63372 320 40 the the DT 63372 320 41 fluid fluid NN 63372 320 42 or or CC 63372 320 43 increasing increase VBG 63372 320 44 the the DT 63372 320 45 weight weight NN 63372 320 46 ; ; : 63372 320 47 until until IN 63372 320 48 one one CD 63372 320 49 day day NN 63372 320 50 some some DT 63372 320 51 common common JJ 63372 320 52 person person NN 63372 320 53 conceived conceive VBD 63372 320 54 the the DT 63372 320 55 troublesome troublesome JJ 63372 320 56 idea idea NN 63372 320 57 of of IN 63372 320 58 trying try VBG 63372 320 59 it -PRON- PRP 63372 320 60 out out RP 63372 320 61 experimentally experimentally RB 63372 320 62 to to TO 63372 320 63 learn learn VB 63372 320 64 whether whether IN 63372 320 65 it -PRON- PRP 63372 320 66 were be VBD 63372 320 67 so so RB 63372 320 68 -- -- : 63372 320 69 and and CC 63372 320 70 found find VBD 63372 320 71 that that IN 63372 320 72 it -PRON- PRP 63372 320 73 was be VBD 63372 320 74 not not RB 63372 320 75 . . . 63372 321 1 True true JJ 63372 321 2 or or CC 63372 321 3 false false JJ 63372 321 4 , , , 63372 321 5 the the DT 63372 321 6 anecdote anecdote NN 63372 321 7 admirably admirably RB 63372 321 8 illustrates illustrate VBZ 63372 321 9 the the DT 63372 321 10 subordinate subordinate JJ 63372 321 11 place place NN 63372 321 12 which which WDT 63372 321 13 the the DT 63372 321 14 externals external NNS 63372 321 15 held hold VBN 63372 321 16 in in IN 63372 321 17 the the DT 63372 321 18 absolutist absolutist JJ 63372 321 19 system system NN 63372 321 20 of of IN 63372 321 21 Greek Greek NNP 63372 321 22 thought think VBD 63372 321 23 . . . 63372 322 1 ] ] -RRB- 63372 322 2 * * NFP 63372 322 3 [ [ -LRB- 63372 322 4 Under under IN 63372 322 5 this this DT 63372 322 6 system system NN 63372 322 7 a a DT 63372 322 8 single single JJ 63372 322 9 observer observer NN 63372 322 10 is be VBZ 63372 322 11 competent competent JJ 63372 322 12 to to TO 63372 322 13 examine examine VB 63372 322 14 a a DT 63372 322 15 single single JJ 63372 322 16 phenomenon phenomenon NN 63372 322 17 , , , 63372 322 18 and and CC 63372 322 19 to to TO 63372 322 20 write write VB 63372 322 21 down down RP 63372 322 22 the the DT 63372 322 23 absolute absolute JJ 63372 322 24 law law NN 63372 322 25 of of IN 63372 322 26 nature nature NN 63372 322 27 by by IN 63372 322 28 referring refer VBG 63372 322 29 the the DT 63372 322 30 results result NNS 63372 322 31 to to IN 63372 322 32 his -PRON- PRP$ 63372 322 33 innate innate JJ 63372 322 34 ideas idea NNS 63372 322 35 of of IN 63372 322 36 absolute absolute JJ 63372 322 37 qualities quality NNS 63372 322 38 and and CC 63372 322 39 states state NNS 63372 322 40 . . . 63372 323 1 The the DT 63372 323 2 root root NN 63372 323 3 of of IN 63372 323 4 the the DT 63372 323 5 word word NN 63372 323 6 absolute absolute JJ 63372 323 7 signifies signifie NNS 63372 323 8 " " `` 63372 323 9 taking take VBG 63372 323 10 away away RB 63372 323 11 , , , 63372 323 12 " " '' 63372 323 13 and and CC 63372 323 14 in in IN 63372 323 15 its -PRON- PRP$ 63372 323 16 philosophical philosophical JJ 63372 323 17 sense sense NN 63372 323 18 the the DT 63372 323 19 word word NN 63372 323 20 implies imply VBZ 63372 323 21 the the DT 63372 323 22 ability ability NN 63372 323 23 of of IN 63372 323 24 the the DT 63372 323 25 mind mind NN 63372 323 26 to to TO 63372 323 27 subtract subtract VB 63372 323 28 away away RP 63372 323 29 the the DT 63372 323 30 properties property NNS 63372 323 31 or or CC 63372 323 32 qualities quality NNS 63372 323 33 from from IN 63372 323 34 things thing NNS 63372 323 35 , , , 63372 323 36 and and CC 63372 323 37 to to TO 63372 323 38 consider consider VB 63372 323 39 these these DT 63372 323 40 abstract abstract JJ 63372 323 41 qualities quality NNS 63372 323 42 detached detach VBN 63372 323 43 from from IN 63372 323 44 the the DT 63372 323 45 things thing NNS 63372 323 46 ; ; : 63372 323 47 for for IN 63372 323 48 example example NN 63372 323 49 , , , 63372 323 50 to to TO 63372 323 51 take take VB 63372 323 52 away away RB 63372 323 53 the the DT 63372 323 54 coldness coldness NN 63372 323 55 from from IN 63372 323 56 ice ice NN 63372 323 57 , , , 63372 323 58 and and CC 63372 323 59 to to TO 63372 323 60 consider consider VB 63372 323 61 pure pure JJ 63372 323 62 or or CC 63372 323 63 abstract abstract JJ 63372 323 64 coldness coldness NN 63372 323 65 apart apart RB 63372 323 66 from from IN 63372 323 67 anything anything NN 63372 323 68 that that WDT 63372 323 69 is be VBZ 63372 323 70 cold cold JJ 63372 323 71 ; ; : 63372 323 72 or or CC 63372 323 73 to to TO 63372 323 74 take take VB 63372 323 75 away away RB 63372 323 76 motion motion NN 63372 323 77 from from IN 63372 323 78 a a DT 63372 323 79 moving move VBG 63372 323 80 body body NN 63372 323 81 , , , 63372 323 82 and and CC 63372 323 83 to to TO 63372 323 84 consider consider VB 63372 323 85 pure pure JJ 63372 323 86 motion motion NN 63372 323 87 apart apart RB 63372 323 88 from from IN 63372 323 89 anything anything NN 63372 323 90 that that WDT 63372 323 91 moves move VBZ 63372 323 92 . . . 63372 324 1 This this DT 63372 324 2 assumed assumed JJ 63372 324 3 power power NN 63372 324 4 is be VBZ 63372 324 5 based base VBN 63372 324 6 upon upon IN 63372 324 7 the the DT 63372 324 8 Socratic socratic JJ 63372 324 9 theory theory NN 63372 324 10 of of IN 63372 324 11 innate innate JJ 63372 324 12 ideas idea NNS 63372 324 13 . . . 63372 325 1 According accord VBG 63372 325 2 to to IN 63372 325 3 this this DT 63372 325 4 theory theory NN 63372 325 5 the the DT 63372 325 6 mind mind NN 63372 325 7 is be VBZ 63372 325 8 endowed endow VBN 63372 325 9 by by IN 63372 325 10 nature nature NN 63372 325 11 with with IN 63372 325 12 the the DT 63372 325 13 absolute absolute JJ 63372 325 14 ideas idea NNS 63372 325 15 of of IN 63372 325 16 hardness hardness NN 63372 325 17 , , , 63372 325 18 coldness coldness NN 63372 325 19 , , , 63372 325 20 roundness roundness NN 63372 325 21 , , , 63372 325 22 equality equality NN 63372 325 23 , , , 63372 325 24 motion motion NN 63372 325 25 , , , 63372 325 26 and and CC 63372 325 27 all all DT 63372 325 28 other other JJ 63372 325 29 absolute absolute JJ 63372 325 30 qualities quality NNS 63372 325 31 and and CC 63372 325 32 states state NNS 63372 325 33 , , , 63372 325 34 and and CC 63372 325 35 so so RB 63372 325 36 does do VBZ 63372 325 37 not not RB 63372 325 38 have have VB 63372 325 39 to to TO 63372 325 40 learn learn VB 63372 325 41 them -PRON- PRP 63372 325 42 . . . 63372 326 1 Thus thus RB 63372 326 2 a a DT 63372 326 3 Socratic socratic JJ 63372 326 4 philosopher philosopher NN 63372 326 5 could could MD 63372 326 6 discuss discuss VB 63372 326 7 pure pure JJ 63372 326 8 or or CC 63372 326 9 absolute absolute JJ 63372 326 10 being being NN 63372 326 11 , , , 63372 326 12 absolute absolute JJ 63372 326 13 space space NN 63372 326 14 and and CC 63372 326 15 absolute absolute JJ 63372 326 16 time time NN 63372 326 17 . . . 63372 327 1 ] ] -RRB- 63372 327 2 121 121 CD 63372 327 3 GETTING get VBG 63372 327 4 AWAY away RB 63372 327 5 FROM from IN 63372 327 6 THE the DT 63372 327 7 GREEK GREEK NNP 63372 327 8 IDEAS IDEAS NNP 63372 327 9 [ [ -LRB- 63372 327 10 This this DT 63372 327 11 Greek greek JJ 63372 327 12 mode mode NN 63372 327 13 of of IN 63372 327 14 thought thought NN 63372 327 15 persisted persist VBD 63372 327 16 into into IN 63372 327 17 the the DT 63372 327 18 late late JJ 63372 327 19 Middle Middle NNP 63372 327 20 Ages Ages NNP 63372 327 21 , , , 63372 327 22 at at IN 63372 327 23 which which WDT 63372 327 24 time time NN 63372 327 25 it -PRON- PRP 63372 327 26 was be VBD 63372 327 27 still still RB 63372 327 28 altogether altogether RB 63372 327 29 in in IN 63372 327 30 order order NN 63372 327 31 to to TO 63372 327 32 dispose dispose VB 63372 327 33 of of IN 63372 327 34 a a DT 63372 327 35 troublesome troublesome JJ 63372 327 36 fact fact NN 63372 327 37 of of IN 63372 327 38 the the DT 63372 327 39 external external JJ 63372 327 40 world world NN 63372 327 41 by by IN 63372 327 42 quoting quote VBG 63372 327 43 Aristotle Aristotle NNP 63372 327 44 against against IN 63372 327 45 it -PRON- PRP 63372 327 46 . . . 63372 328 1 During during IN 63372 328 2 the the DT 63372 328 3 Renaissance Renaissance NNP 63372 328 4 , , , 63372 328 5 which which WDT 63372 328 6 intellectually intellectually RB 63372 328 7 at at IN 63372 328 8 least least JJS 63372 328 9 marks mark VBZ 63372 328 10 the the DT 63372 328 11 transition transition NN 63372 328 12 from from IN 63372 328 13 ancient ancient JJ 63372 328 14 to to IN 63372 328 15 modern modern JJ 63372 328 16 , , , 63372 328 17 there there EX 63372 328 18 came come VBD 63372 328 19 into into IN 63372 328 20 being be VBG 63372 328 21 another another DT 63372 328 22 type type NN 63372 328 23 of of IN 63372 328 24 absolutism absolutism NN 63372 328 25 , , , 63372 328 26 equally equally RB 63372 328 27 extreme extreme JJ 63372 328 28 , , , 63372 328 29 equally equally RB 63372 328 30 arbitrary arbitrary JJ 63372 328 31 , , , 63372 328 32 equally equally RB 63372 328 33 unjustified unjustified JJ 63372 328 34 . . . 63372 329 1 The the DT 63372 329 2 revolt revolt NN 63372 329 3 against against IN 63372 329 4 the the DT 63372 329 5 mental mental JJ 63372 329 6 slavery slavery NN 63372 329 7 to to IN 63372 329 8 Greek greek JJ 63372 329 9 ideas idea NNS 63372 329 10 carried carry VBD 63372 329 11 the the DT 63372 329 12 pendulum pendulum NN 63372 329 13 too too RB 63372 329 14 far far RB 63372 329 15 to to IN 63372 329 16 the the DT 63372 329 17 other other JJ 63372 329 18 side side NN 63372 329 19 , , , 63372 329 20 and and CC 63372 329 21 early early JJ 63372 329 22 modern modern JJ 63372 329 23 science science NN 63372 329 24 as as IN 63372 329 25 a a DT 63372 329 26 consequence consequence NN 63372 329 27 is be VBZ 63372 329 28 disfigured disfigure VBN 63372 329 29 by by IN 63372 329 30 what what WP 63372 329 31 we -PRON- PRP 63372 329 32 must must MD 63372 329 33 now now RB 63372 329 34 recognize recognize VB 63372 329 35 as as IN 63372 329 36 gross gross JJ 63372 329 37 materialism materialism NN 63372 329 38 . . . 63372 330 1 The the DT 63372 330 2 human human JJ 63372 330 3 mind mind NN 63372 330 4 was be VBD 63372 330 5 relegated relegate VBN 63372 330 6 to to IN 63372 330 7 the the DT 63372 330 8 position position NN 63372 330 9 of of IN 63372 330 10 a a DT 63372 330 11 mere mere JJ 63372 330 12 innocent innocent JJ 63372 330 13 bystander bystander NN 63372 330 14 . . . 63372 331 1 The the DT 63372 331 2 external external JJ 63372 331 3 reality reality NN 63372 331 4 was be VBD 63372 331 5 everything everything NN 63372 331 6 , , , 63372 331 7 and and CC 63372 331 8 aside aside RB 63372 331 9 from from IN 63372 331 10 his -PRON- PRP$ 63372 331 11 function function NN 63372 331 12 as as IN 63372 331 13 a a DT 63372 331 14 recorder recorder NN 63372 331 15 the the DT 63372 331 16 observer observer NN 63372 331 17 did do VBD 63372 331 18 not not RB 63372 331 19 in in IN 63372 331 20 the the DT 63372 331 21 least least JJS 63372 331 22 matter matter NN 63372 331 23 . . . 63372 332 1 The the DT 63372 332 2 whole whole JJ 63372 332 3 aim aim NN 63372 332 4 of of IN 63372 332 5 science science NN 63372 332 6 was be VBD 63372 332 7 to to TO 63372 332 8 isolate isolate VB 63372 332 9 and and CC 63372 332 10 classify classify VB 63372 332 11 the the DT 63372 332 12 elusive elusive JJ 63372 332 13 external external JJ 63372 332 14 fact fact NN 63372 332 15 . . . 63372 333 1 The the DT 63372 333 2 rôle rôle NNP 63372 333 3 of of IN 63372 333 4 the the DT 63372 333 5 observer observer NN 63372 333 6 was be VBD 63372 333 7 in in IN 63372 333 8 every every DT 63372 333 9 possible possible JJ 63372 333 10 way way NN 63372 333 11 minimized minimize VBN 63372 333 12 . . . 63372 334 1 It -PRON- PRP 63372 334 2 was be VBD 63372 334 3 of of IN 63372 334 4 course course NN 63372 334 5 his -PRON- PRP$ 63372 334 6 duty duty NN 63372 334 7 to to TO 63372 334 8 get get VB 63372 334 9 the the DT 63372 334 10 facts fact NNS 63372 334 11 right right JJ 63372 334 12 , , , 63372 334 13 but but CC 63372 334 14 so so RB 63372 334 15 far far RB 63372 334 16 as as IN 63372 334 17 any any DT 63372 334 18 contribution contribution NN 63372 334 19 to to IN 63372 334 20 these these DT 63372 334 21 was be VBD 63372 334 22 concerned concern VBN 63372 334 23 he -PRON- PRP 63372 334 24 did do VBD 63372 334 25 not not RB 63372 334 26 count count VB 63372 334 27 -- -- : 63372 334 28 he -PRON- PRP 63372 334 29 was be VBD 63372 334 30 definitely definitely RB 63372 334 31 disqualified disqualify VBN 63372 334 32 . . . 63372 335 1 He -PRON- PRP 63372 335 2 really really RB 63372 335 3 played play VBD 63372 335 4 the the DT 63372 335 5 part part NN 63372 335 6 of of IN 63372 335 7 an an DT 63372 335 8 intruder intruder NN 63372 335 9 ; ; : 63372 335 10 from from IN 63372 335 11 his -PRON- PRP$ 63372 335 12 position position NN 63372 335 13 outside outside IN 63372 335 14 the the DT 63372 335 15 phenomena phenomenon NNS 63372 335 16 he -PRON- PRP 63372 335 17 was be VBD 63372 335 18 searching search VBG 63372 335 19 for for IN 63372 335 20 the the DT 63372 335 21 absolute absolute JJ 63372 335 22 truth truth NN 63372 335 23 about about IN 63372 335 24 these these DT 63372 335 25 phenomena phenomenon NNS 63372 335 26 . . . 63372 336 1 The the DT 63372 336 2 only only JJ 63372 336 3 difference difference NN 63372 336 4 between between IN 63372 336 5 his -PRON- PRP$ 63372 336 6 viewpoint viewpoint NN 63372 336 7 and and CC 63372 336 8 that that IN 63372 336 9 of of IN 63372 336 10 Aristotle Aristotle NNP 63372 336 11 was be VBD 63372 336 12 that that IN 63372 336 13 the the DT 63372 336 14 latter latter NN 63372 336 15 looked look VBD 63372 336 16 entirely entirely RB 63372 336 17 inside inside IN 63372 336 18 himself -PRON- PRP 63372 336 19 for for IN 63372 336 20 the the DT 63372 336 21 elusive elusive JJ 63372 336 22 " " `` 63372 336 23 truth truth NN 63372 336 24 , , , 63372 336 25 " " '' 63372 336 26 while while IN 63372 336 27 the the DT 63372 336 28 " " `` 63372 336 29 classical classical JJ 63372 336 30 " " '' 63372 336 31 scientist scientist NN 63372 336 32 , , , 63372 336 33 as as IN 63372 336 34 we -PRON- PRP 63372 336 35 call call VBP 63372 336 36 him -PRON- PRP 63372 336 37 now now RB 63372 336 38 , , , 63372 336 39 looked look VBD 63372 336 40 for for IN 63372 336 41 it -PRON- PRP 63372 336 42 entirely entirely RB 63372 336 43 outside outside IN 63372 336 44 himself -PRON- PRP 63372 336 45 . . . 63372 337 1 Let let VB 63372 337 2 me -PRON- PRP 63372 337 3 illustrate illustrate VB 63372 337 4 the the DT 63372 337 5 difference difference NN 63372 337 6 between between IN 63372 337 7 the the DT 63372 337 8 two two CD 63372 337 9 viewpoints viewpoint NNS 63372 337 10 which which WDT 63372 337 11 I -PRON- PRP 63372 337 12 have have VBP 63372 337 13 discussed discuss VBN 63372 337 14 , , , 63372 337 15 and and CC 63372 337 16 the the DT 63372 337 17 third third JJ 63372 337 18 one one NN 63372 337 19 which which WDT 63372 337 20 I -PRON- PRP 63372 337 21 am be VBP 63372 337 22 about about JJ 63372 337 23 to to TO 63372 337 24 outline outline VB 63372 337 25 , , , 63372 337 26 by by IN 63372 337 27 another another DT 63372 337 28 concrete concrete JJ 63372 337 29 instance instance NN 63372 337 30 . . . 63372 338 1 The the DT 63372 338 2 Greeks Greeks NNPS 63372 338 3 , , , 63372 338 4 and and CC 63372 338 5 the the DT 63372 338 6 medievals medieval NNS 63372 338 7 as as RB 63372 338 8 well well RB 63372 338 9 , , , 63372 338 10 were be VBD 63372 338 11 fond fond JJ 63372 338 12 of of IN 63372 338 13 discussing discuss VBG 63372 338 14 a a DT 63372 338 15 question question NN 63372 338 16 which which WDT 63372 338 17 embodies embody VBZ 63372 338 18 the the DT 63372 338 19 whole whole NN 63372 338 20 of of IN 63372 338 21 what what WP 63372 338 22 I -PRON- PRP 63372 338 23 have have VBP 63372 338 24 been be VBN 63372 338 25 saying say VBG 63372 338 26 . . . 63372 339 1 This this DT 63372 339 2 question question NN 63372 339 3 involved involve VBN 63372 339 4 , , , 63372 339 5 on on IN 63372 339 6 the the DT 63372 339 7 part part NN 63372 339 8 of of IN 63372 339 9 one one CD 63372 339 10 who who WP 63372 339 11 attempted attempt VBD 63372 339 12 to to TO 63372 339 13 answer answer VB 63372 339 14 it -PRON- PRP 63372 339 15 , , , 63372 339 16 a a DT 63372 339 17 choice choice NN 63372 339 18 between between IN 63372 339 19 the the DT 63372 339 20 observer observer NN 63372 339 21 and and CC 63372 339 22 the the DT 63372 339 23 external external JJ 63372 339 24 world world NN 63372 339 25 as as IN 63372 339 26 the the DT 63372 339 27 seat seat NN 63372 339 28 of of IN 63372 339 29 reality reality NN 63372 339 30 . . . 63372 340 1 It -PRON- PRP 63372 340 2 was be VBD 63372 340 3 put put VBN 63372 340 4 in in IN 63372 340 5 many many JJ 63372 340 6 forms form NNS 63372 340 7 ; ; : 63372 340 8 a a DT 63372 340 9 familiar familiar JJ 63372 340 10 one one CD 63372 340 11 is be VBZ 63372 340 12 the the DT 63372 340 13 following follow VBG 63372 340 14 : : : 63372 340 15 " " `` 63372 340 16 If if IN 63372 340 17 the the DT 63372 340 18 wind wind NN 63372 340 19 blew blow VBD 63372 340 20 down down RP 63372 340 21 a a DT 63372 340 22 great great JJ 63372 340 23 tree tree NN 63372 340 24 at at IN 63372 340 25 a a DT 63372 340 26 time time NN 63372 340 27 and and CC 63372 340 28 place place NN 63372 340 29 where where WRB 63372 340 30 there there EX 63372 340 31 was be VBD 63372 340 32 no no DT 63372 340 33 conscious conscious JJ 63372 340 34 being being NN 63372 340 35 to to TO 63372 340 36 hear hear VB 63372 340 37 , , , 63372 340 38 would would MD 63372 340 39 there there EX 63372 340 40 be be VB 63372 340 41 any any DT 63372 340 42 noise noise NN 63372 340 43 ? ? . 63372 340 44 " " '' 63372 341 1 The the DT 63372 341 2 Greek Greek NNP 63372 341 3 had have VBD 63372 341 4 to to TO 63372 341 5 answer answer VB 63372 341 6 this this DT 63372 341 7 question question NN 63372 341 8 in in IN 63372 341 9 the the DT 63372 341 10 negative negative JJ 63372 341 11 because because IN 63372 341 12 to to IN 63372 341 13 him -PRON- PRP 63372 341 14 the the DT 63372 341 15 noise noise NN 63372 341 16 was be VBD 63372 341 17 entirely entirely RB 63372 341 18 a a DT 63372 341 19 phenomenon phenomenon NN 63372 341 20 of of IN 63372 341 21 the the DT 63372 341 22 listener listener NN 63372 341 23 . . . 63372 342 1 The the DT 63372 342 2 classical classical JJ 63372 342 3 scientist scientist NN 63372 342 4 had have VBD 63372 342 5 to to TO 63372 342 6 answer answer VB 63372 342 7 it -PRON- PRP 63372 342 8 in in IN 63372 342 9 the the DT 63372 342 10 affirmative affirmative JJ 63372 342 11 because because IN 63372 342 12 to to IN 63372 342 13 him -PRON- PRP 63372 342 14 the the DT 63372 342 15 noise noise NN 63372 342 16 was be VBD 63372 342 17 entirely entirely RB 63372 342 18 a a DT 63372 342 19 phenomenon phenomenon NN 63372 342 20 of of IN 63372 342 21 the the DT 63372 342 22 tree tree NN 63372 342 23 and and CC 63372 342 24 the the DT 63372 342 25 air air NN 63372 342 26 and and CC 63372 342 27 the the DT 63372 342 28 ground ground NN 63372 342 29 . . . 63372 343 1 Today today NN 63372 343 2 we -PRON- PRP 63372 343 3 answer answer VBP 63372 343 4 it -PRON- PRP 63372 343 5 in in IN 63372 343 6 the the DT 63372 343 7 negative negative JJ 63372 343 8 , , , 63372 343 9 but but CC 63372 343 10 for for IN 63372 343 11 a a DT 63372 343 12 very very RB 63372 343 13 different different JJ 63372 343 14 reason reason NN 63372 343 15 from from IN 63372 343 16 that that DT 63372 343 17 which which WDT 63372 343 18 swayed sway VBD 63372 343 19 the the DT 63372 343 20 Greek Greek NNP 63372 343 21 . . . 63372 344 1 We -PRON- PRP 63372 344 2 believe believe VBP 63372 344 3 that that IN 63372 344 4 the the DT 63372 344 5 noise noise NN 63372 344 6 is be VBZ 63372 344 7 a a DT 63372 344 8 joint joint JJ 63372 344 9 phenomenon phenomenon NN 63372 344 10 of of IN 63372 344 11 the the DT 63372 344 12 observer observer NN 63372 344 13 and and CC 63372 344 14 the the DT 63372 344 15 externals external NNS 63372 344 16 , , , 63372 344 17 so so IN 63372 344 18 that that IN 63372 344 19 in in IN 63372 344 20 the the DT 63372 344 21 absence absence NN 63372 344 22 of of IN 63372 344 23 either either CC 63372 344 24 it -PRON- PRP 63372 344 25 must must MD 63372 344 26 fail fail VB 63372 344 27 to to TO 63372 344 28 take take VB 63372 344 29 existence existence NN 63372 344 30 . . . 63372 345 1 We -PRON- PRP 63372 345 2 believe believe VBP 63372 345 3 there there EX 63372 345 4 are be VBP 63372 345 5 sound sound JJ 63372 345 6 waves wave NNS 63372 345 7 produced produce VBN 63372 345 8 , , , 63372 345 9 and and CC 63372 345 10 all all PDT 63372 345 11 that that DT 63372 345 12 ; ; : 63372 345 13 but but CC 63372 345 14 what what WP 63372 345 15 of of IN 63372 345 16 it -PRON- PRP 63372 345 17 ? ? . 63372 346 1 There there EX 63372 346 2 is be VBZ 63372 346 3 no no DT 63372 346 4 noise noise NN 63372 346 5 in in IN 63372 346 6 the the DT 63372 346 7 presence presence NN 63372 346 8 of of IN 63372 346 9 the the DT 63372 346 10 falling fall VBG 63372 346 11 tree tree NN 63372 346 12 and and CC 63372 346 13 the the DT 63372 346 14 absence absence NN 63372 346 15 of of IN 63372 346 16 the the DT 63372 346 17 observer observer NN 63372 346 18 , , , 63372 346 19 any any DT 63372 346 20 more more RBR 63372 346 21 than than IN 63372 346 22 there there EX 63372 346 23 would would MD 63372 346 24 be be VB 63372 346 25 in in IN 63372 346 26 the the DT 63372 346 27 presence presence NN 63372 346 28 of of IN 63372 346 29 the the DT 63372 346 30 observer observer NN 63372 346 31 and and CC 63372 346 32 the the DT 63372 346 33 absence absence NN 63372 346 34 of of IN 63372 346 35 the the DT 63372 346 36 tree tree NN 63372 346 37 and and CC 63372 346 38 the the DT 63372 346 39 wind wind NN 63372 346 40 ; ; : 63372 346 41 the the DT 63372 346 42 noise noise NN 63372 346 43 , , , 63372 346 44 a a DT 63372 346 45 joint joint JJ 63372 346 46 phenomenon phenomenon NN 63372 346 47 of of IN 63372 346 48 the the DT 63372 346 49 observer observer NN 63372 346 50 and and CC 63372 346 51 the the DT 63372 346 52 externals external NNS 63372 346 53 , , , 63372 346 54 exists exist VBZ 63372 346 55 only only RB 63372 346 56 in in IN 63372 346 57 their -PRON- PRP$ 63372 346 58 joint joint JJ 63372 346 59 presence presence NN 63372 346 60 . . . 63372 347 1 RELATIVISM RELATIVISM NNP 63372 347 2 AND and CC 63372 347 3 REALITY REALITY NNP 63372 347 4 This this DT 63372 347 5 is be VBZ 63372 347 6 the the DT 63372 347 7 viewpoint viewpoint NN 63372 347 8 of of IN 63372 347 9 relativism relativism NN 63372 347 10 . . . 63372 348 1 The the DT 63372 348 2 statue statue NN 63372 348 3 is be VBZ 63372 348 4 golden golden JJ 63372 348 5 for for IN 63372 348 6 one one CD 63372 348 7 observer observer NN 63372 348 8 and and CC 63372 348 9 silver silver NN 63372 348 10 to to IN 63372 348 11 the the DT 63372 348 12 other other JJ 63372 348 13 . . . 63372 349 1 The the DT 63372 349 2 sun sun NN 63372 349 3 is be VBZ 63372 349 4 rising rise VBG 63372 349 5 here here RB 63372 349 6 and and CC 63372 349 7 setting set VBG 63372 349 8 in in RP 63372 349 9 another another DT 63372 349 10 part part NN 63372 349 11 of of IN 63372 349 12 the the DT 63372 349 13 world world NN 63372 349 14 . . . 63372 350 1 It -PRON- PRP 63372 350 2 is be VBZ 63372 350 3 raining rain VBG 63372 350 4 here here RB 63372 350 5 and and CC 63372 350 6 clear clear VB 63372 350 7 in in IN 63372 350 8 Chicago Chicago NNP 63372 350 9 . . . 63372 351 1 The the DT 63372 351 2 observer observer NN 63372 351 3 in in IN 63372 351 4 Delft Delft NNP 63372 351 5 hears hear VBZ 63372 351 6 the the DT 63372 351 7 bombardment bombardment NN 63372 351 8 of of IN 63372 351 9 Antwerp Antwerp NNP 63372 351 10 and and CC 63372 351 11 the the DT 63372 351 12 observer observer NN 63372 351 13 in in IN 63372 351 14 London London NNP 63372 351 15 does do VBZ 63372 351 16 not not RB 63372 351 17 . . . 63372 352 1 If if IN 63372 352 2 they -PRON- PRP 63372 352 3 were be VBD 63372 352 4 to to TO 63372 352 5 be be VB 63372 352 6 consistent consistent JJ 63372 352 7 , , , 63372 352 8 both both CC 63372 352 9 the the DT 63372 352 10 Greek Greek NNP 63372 352 11 and and CC 63372 352 12 the the DT 63372 352 13 medieval medieval JJ 63372 352 14 - - HYPH 63372 352 15 modern modern JJ 63372 352 16 absolutist absolutist NN 63372 352 17 would would MD 63372 352 18 have have VB 63372 352 19 to to TO 63372 352 20 dispute dispute VB 63372 352 21 whether whether IN 63372 352 22 the the DT 63372 352 23 statue statue NN 63372 352 24 were be VBD 63372 352 25 " " `` 63372 352 26 really really RB 63372 352 27 " " `` 63372 352 28 golden golden JJ 63372 352 29 or or CC 63372 352 30 silver silver NN 63372 352 31 , , , 63372 352 32 whether whether IN 63372 352 33 the the DT 63372 352 34 sun sun NN 63372 352 35 were be VBD 63372 352 36 " " `` 63372 352 37 really really RB 63372 352 38 " " `` 63372 352 39 rising rise VBG 63372 352 40 or or CC 63372 352 41 setting set VBG 63372 352 42 , , , 63372 352 43 whether whether IN 63372 352 44 the the DT 63372 352 45 weather weather NN 63372 352 46 were be VBD 63372 352 47 " " `` 63372 352 48 really really RB 63372 352 49 " " `` 63372 352 50 fair fair JJ 63372 352 51 or or CC 63372 352 52 foul foul JJ 63372 352 53 , , , 63372 352 54 whether whether IN 63372 352 55 the the DT 63372 352 56 bombardment bombardment NN 63372 352 57 were be VBD 63372 352 58 " " `` 63372 352 59 really really RB 63372 352 60 " " '' 63372 352 61 accompanied accompany VBN 63372 352 62 by by IN 63372 352 63 loud loud JJ 63372 352 64 noises noise NNS 63372 352 65 or or CC 63372 352 66 not not RB 63372 352 67 ; ; : 63372 352 68 and and CC 63372 352 69 on on IN 63372 352 70 each each DT 63372 352 71 of of IN 63372 352 72 these these DT 63372 352 73 questions question NNS 63372 352 74 they -PRON- PRP 63372 352 75 would would MD 63372 352 76 have have VB 63372 352 77 to to TO 63372 352 78 come come VB 63372 352 79 to to IN 63372 352 80 an an DT 63372 352 81 agreement agreement NN 63372 352 82 or or CC 63372 352 83 confess confess VB 63372 352 84 their -PRON- PRP$ 63372 352 85 methods method NNS 63372 352 86 inadequate inadequate JJ 63372 352 87 . . . 63372 353 1 But but CC 63372 353 2 to to IN 63372 353 3 the the DT 63372 353 4 relativist relativist NN 63372 353 5 the the DT 63372 353 6 answer answer NN 63372 353 7 is be VBZ 63372 353 8 simple simple JJ 63372 353 9 -- -- : 63372 353 10 whether whether IN 63372 353 11 this this DT 63372 353 12 or or CC 63372 353 13 that that DT 63372 353 14 be be VBP 63372 353 15 true true JJ 63372 353 16 depends depend VBZ 63372 353 17 upon upon IN 63372 353 18 the the DT 63372 353 19 observer observer NN 63372 353 20 . . . 63372 354 1 In in IN 63372 354 2 simple simple JJ 63372 354 3 cases case NNS 63372 354 4 we -PRON- PRP 63372 354 5 understand understand VBP 63372 354 6 this this DT 63372 354 7 full full JJ 63372 354 8 well well RB 63372 354 9 , , , 63372 354 10 as as IN 63372 354 11 we -PRON- PRP 63372 354 12 have have VBP 63372 354 13 always always RB 63372 354 14 realized realize VBN 63372 354 15 it -PRON- PRP 63372 354 16 . . . 63372 355 1 In in IN 63372 355 2 less less JJR 63372 355 3 simple simple JJ 63372 355 4 cases case NNS 63372 355 5 we -PRON- PRP 63372 355 6 recognize recognize VBP 63372 355 7 it -PRON- PRP 63372 355 8 less less RBR 63372 355 9 easily easily RB 63372 355 10 or or CC 63372 355 11 not not RB 63372 355 12 at at RB 63372 355 13 all all RB 63372 355 14 , , , 63372 355 15 so so IN 63372 355 16 that that IN 63372 355 17 some some DT 63372 355 18 of of IN 63372 355 19 our -PRON- PRP$ 63372 355 20 thought thought NN 63372 355 21 is be VBZ 63372 355 22 absolutist absolutist JJ 63372 355 23 in in IN 63372 355 24 its -PRON- PRP$ 63372 355 25 tendencies tendency NNS 63372 355 26 while while IN 63372 355 27 the the DT 63372 355 28 rest rest NN 63372 355 29 is be VBZ 63372 355 30 relativistic relativistic JJ 63372 355 31 . . . 63372 356 1 Einstein Einstein NNP 63372 356 2 is be VBZ 63372 356 3 the the DT 63372 356 4 first first JJ 63372 356 5 ever ever RB 63372 356 6 to to TO 63372 356 7 realize realize VB 63372 356 8 this this DT 63372 356 9 fully fully RB 63372 356 10 -- -- : 63372 356 11 or or CC 63372 356 12 if if IN 63372 356 13 not not RB 63372 356 14 this this DT 63372 356 15 , , , 63372 356 16 then then RB 63372 356 17 the the DT 63372 356 18 first first JJ 63372 356 19 ever ever RB 63372 356 20 to to TO 63372 356 21 realize realize VB 63372 356 22 it -PRON- PRP 63372 356 23 so so RB 63372 356 24 fully fully RB 63372 356 25 as as IN 63372 356 26 to to TO 63372 356 27 be be VB 63372 356 28 moved move VBN 63372 356 29 toward toward IN 63372 356 30 a a DT 63372 356 31 studied studied JJ 63372 356 32 effort effort NN 63372 356 33 to to TO 63372 356 34 free free VB 63372 356 35 human human JJ 63372 356 36 thought thought NN 63372 356 37 from from IN 63372 356 38 the the DT 63372 356 39 mixture mixture NN 63372 356 40 of of IN 63372 356 41 relativism relativism NN 63372 356 42 and and CC 63372 356 43 absolutism absolutism NN 63372 356 44 and and CC 63372 356 45 make make VB 63372 356 46 it -PRON- PRP 63372 356 47 consistently consistently RB 63372 356 48 the the DT 63372 356 49 one one CD 63372 356 50 or or CC 63372 356 51 the the DT 63372 356 52 other other JJ 63372 356 53 . . . 63372 357 1 This this DT 63372 357 2 brings bring VBZ 63372 357 3 it -PRON- PRP 63372 357 4 about about IN 63372 357 5 that that IN 63372 357 6 the the DT 63372 357 7 observed observed JJ 63372 357 8 fact fact NN 63372 357 9 occupies occupy VBZ 63372 357 10 a a DT 63372 357 11 position position NN 63372 357 12 of of IN 63372 357 13 unexpected unexpected JJ 63372 357 14 significance significance NN 63372 357 15 . . . 63372 358 1 For for IN 63372 358 2 when when WRB 63372 358 3 we -PRON- PRP 63372 358 4 discuss discuss VBP 63372 358 5 matters matter NNS 63372 358 6 of of IN 63372 358 7 physical physical JJ 63372 358 8 science science NN 63372 358 9 under under IN 63372 358 10 a a DT 63372 358 11 strictly strictly RB 63372 358 12 relativistic relativistic JJ 63372 358 13 philosophy philosophy NN 63372 358 14 , , , 63372 358 15 we -PRON- PRP 63372 358 16 must must MD 63372 358 17 put put VB 63372 358 18 away away RB 63372 358 19 as as IN 63372 358 20 metaphysical metaphysical JJ 63372 358 21 everything everything NN 63372 358 22 that that WDT 63372 358 23 smacks smack VBZ 63372 358 24 of of IN 63372 358 25 a a DT 63372 358 26 " " `` 63372 358 27 reality reality NN 63372 358 28 " " '' 63372 358 29 partly partly RB 63372 358 30 concealed conceal VBD 63372 358 31 behind behind IN 63372 358 32 our -PRON- PRP$ 63372 358 33 observations observation NNS 63372 358 34 . . . 63372 359 1 We -PRON- PRP 63372 359 2 must must MD 63372 359 3 focus focus VB 63372 359 4 attention attention NN 63372 359 5 upon upon IN 63372 359 6 the the DT 63372 359 7 reports report NNS 63372 359 8 of of IN 63372 359 9 our -PRON- PRP$ 63372 359 10 senses sense NNS 63372 359 11 and and CC 63372 359 12 of of IN 63372 359 13 the the DT 63372 359 14 instruments instrument NNS 63372 359 15 that that WDT 63372 359 16 supplement supplement VBP 63372 359 17 them -PRON- PRP 63372 359 18 . . . 63372 360 1 These these DT 63372 360 2 observations observation NNS 63372 360 3 , , , 63372 360 4 which which WDT 63372 360 5 join join VBP 63372 360 6 our -PRON- PRP$ 63372 360 7 perceptions perception NNS 63372 360 8 to to IN 63372 360 9 their -PRON- PRP$ 63372 360 10 external external JJ 63372 360 11 objects object NNS 63372 360 12 , , , 63372 360 13 afford afford VB 63372 360 14 us -PRON- PRP 63372 360 15 our -PRON- PRP$ 63372 360 16 only only JJ 63372 360 17 objective objective JJ 63372 360 18 manifestations manifestation NNS 63372 360 19 ; ; : 63372 360 20 them -PRON- PRP 63372 360 21 we -PRON- PRP 63372 360 22 must must MD 63372 360 23 accept accept VB 63372 360 24 as as IN 63372 360 25 final final JJ 63372 360 26 -- -- : 63372 360 27 subject subject JJ 63372 360 28 always always RB 63372 360 29 to to IN 63372 360 30 such such JJ 63372 360 31 correction correction NN 63372 360 32 as as IN 63372 360 33 more more RBR 63372 360 34 refined refined JJ 63372 360 35 observations observation NNS 63372 360 36 may may MD 63372 360 37 suggest suggest VB 63372 360 38 . . . 63372 361 1 The the DT 63372 361 2 question question NN 63372 361 3 whether whether IN 63372 361 4 a a DT 63372 361 5 " " `` 63372 361 6 true true JJ 63372 361 7 " " '' 63372 361 8 length length NN 63372 361 9 or or CC 63372 361 10 area area NN 63372 361 11 or or CC 63372 361 12 mass mass NN 63372 361 13 or or CC 63372 361 14 velocity velocity NN 63372 361 15 or or CC 63372 361 16 duration duration NN 63372 361 17 or or CC 63372 361 18 temperature temperature NN 63372 361 19 exists exist VBZ 63372 361 20 back back RB 63372 361 21 of of IN 63372 361 22 the the DT 63372 361 23 numerical numerical JJ 63372 361 24 determination determination NN 63372 361 25 , , , 63372 361 26 or or CC 63372 361 27 in in IN 63372 361 28 the the DT 63372 361 29 presence presence NN 63372 361 30 of of IN 63372 361 31 a a DT 63372 361 32 determination determination NN 63372 361 33 that that WDT 63372 361 34 is be VBZ 63372 361 35 subject subject JJ 63372 361 36 to to IN 63372 361 37 correction correction NN 63372 361 38 , , , 63372 361 39 or or CC 63372 361 40 in in IN 63372 361 41 the the DT 63372 361 42 absence absence NN 63372 361 43 of of IN 63372 361 44 any any DT 63372 361 45 determination determination NN 63372 361 46 at at RB 63372 361 47 all all RB 63372 361 48 , , , 63372 361 49 is be VBZ 63372 361 50 a a DT 63372 361 51 metaphysical metaphysical JJ 63372 361 52 one one CD 63372 361 53 and and CC 63372 361 54 one one CD 63372 361 55 that that WDT 63372 361 56 the the DT 63372 361 57 physicist physicist NN 63372 361 58 must must MD 63372 361 59 not not RB 63372 361 60 ask ask VB 63372 361 61 . . . 63372 362 1 Length length NN 63372 362 2 , , , 63372 362 3 area area NN 63372 362 4 , , , 63372 362 5 mass mass NN 63372 362 6 , , , 63372 362 7 velocity velocity NN 63372 362 8 , , , 63372 362 9 duration duration NN 63372 362 10 , , , 63372 362 11 temperature temperature NN 63372 362 12 -- -- : 63372 362 13 none none NN 63372 362 14 of of IN 63372 362 15 these these DT 63372 362 16 has have VBZ 63372 362 17 any any DT 63372 362 18 meaning meaning NN 63372 362 19 other other JJ 63372 362 20 than than IN 63372 362 21 the the DT 63372 362 22 number number NN 63372 362 23 obtained obtain VBN 63372 362 24 by by IN 63372 362 25 measurement measurement NN 63372 362 26 . . . 63372 363 1 ] ] -RRB- 63372 363 2 * * NFP 63372 363 3 [ [ -LRB- 63372 363 4 If if IN 63372 363 5 several several JJ 63372 363 6 different different JJ 63372 363 7 determinations determination NNS 63372 363 8 are be VBP 63372 363 9 checked check VBN 63372 363 10 over over RP 63372 363 11 and and CC 63372 363 12 no no DT 63372 363 13 error error NN 63372 363 14 can can MD 63372 363 15 be be VB 63372 363 16 found find VBN 63372 363 17 in in IN 63372 363 18 any any DT 63372 363 19 of of IN 63372 363 20 them -PRON- PRP 63372 363 21 , , , 63372 363 22 the the DT 63372 363 23 fault fault NN 63372 363 24 must must MD 63372 363 25 lie lie VB 63372 363 26 not not RB 63372 363 27 with with IN 63372 363 28 the the DT 63372 363 29 observers observer NNS 63372 363 30 but but CC 63372 363 31 with with IN 63372 363 32 the the DT 63372 363 33 object object NN 63372 363 34 , , , 63372 363 35 which which WDT 63372 363 36 we -PRON- PRP 63372 363 37 must must MD 63372 363 38 conclude conclude VB 63372 363 39 presents present NNS 63372 363 40 different different JJ 63372 363 41 values value NNS 63372 363 42 to to IN 63372 363 43 different different JJ 63372 363 44 observers observer NNS 63372 363 45 . . . 63372 364 1 ] ] -RRB- 63372 364 2 33 33 CD 63372 364 3 [ [ -LRB- 63372 364 4 We -PRON- PRP 63372 364 5 are be VBP 63372 364 6 after after RB 63372 364 7 all all RB 63372 364 8 accustomed accustomed JJ 63372 364 9 to to IN 63372 364 10 this this DT 63372 364 11 viewpoint viewpoint NN 63372 364 12 ; ; : 63372 364 13 we -PRON- PRP 63372 364 14 do do VBP 63372 364 15 not not RB 63372 364 16 demand demand VB 63372 364 17 that that IN 63372 364 18 Pittsburgh Pittsburgh NNP 63372 364 19 shall shall MD 63372 364 20 present present VB 63372 364 21 the the DT 63372 364 22 same same JJ 63372 364 23 distance distance NN 63372 364 24 from from IN 63372 364 25 New New NNP 63372 364 26 York York NNP 63372 364 27 and and CC 63372 364 28 from from IN 63372 364 29 Philadelphia Philadelphia NNP 63372 364 30 , , , 63372 364 31 or or CC 63372 364 32 that that IN 63372 364 33 the the DT 63372 364 34 New New NNP 63372 364 35 Yorker Yorker NNP 63372 364 36 and and CC 63372 364 37 the the DT 63372 364 38 Philadelphian philadelphian NN 63372 364 39 come come VBP 63372 364 40 to to IN 63372 364 41 any any DT 63372 364 42 agreement agreement NN 63372 364 43 as as IN 63372 364 44 to to IN 63372 364 45 the the DT 63372 364 46 " " `` 63372 364 47 real real JJ 63372 364 48 " " '' 63372 364 49 distance distance NN 63372 364 50 of of IN 63372 364 51 Pittsburgh Pittsburgh NNP 63372 364 52 . . . 63372 365 1 The the DT 63372 365 2 distance distance NN 63372 365 3 of of IN 63372 365 4 Pittsburgh Pittsburgh NNP 63372 365 5 depends depend VBZ 63372 365 6 upon upon IN 63372 365 7 the the DT 63372 365 8 position position NN 63372 365 9 of of IN 63372 365 10 the the DT 63372 365 11 observer observer NN 63372 365 12 . . . 63372 366 1 Nor nor CC 63372 366 2 do do VBP 63372 366 3 we -PRON- PRP 63372 366 4 demand demand VB 63372 366 5 that that IN 63372 366 6 the the DT 63372 366 7 man man NN 63372 366 8 who who WP 63372 366 9 locates locate VBZ 63372 366 10 the the DT 63372 366 11 magnetic magnetic JJ 63372 366 12 pole pole NN 63372 366 13 in in IN 63372 366 14 one one CD 63372 366 15 spot spot NN 63372 366 16 in in IN 63372 366 17 1900 1900 CD 63372 366 18 and and CC 63372 366 19 in in IN 63372 366 20 another another DT 63372 366 21 in in IN 63372 366 22 1921 1921 CD 63372 366 23 come come VB 63372 366 24 to to IN 63372 366 25 a a DT 63372 366 26 decision decision NN 63372 366 27 as as IN 63372 366 28 to to IN 63372 366 29 where where WRB 63372 366 30 it -PRON- PRP 63372 366 31 " " `` 63372 366 32 really really RB 63372 366 33 " " '' 63372 366 34 is be VBZ 63372 366 35 ; ; : 63372 366 36 we -PRON- PRP 63372 366 37 accept accept VBP 63372 366 38 his -PRON- PRP$ 63372 366 39 statement statement NN 63372 366 40 that that IN 63372 366 41 its -PRON- PRP$ 63372 366 42 position position NN 63372 366 43 depends depend VBZ 63372 366 44 upon upon IN 63372 366 45 the the DT 63372 366 46 time time NN 63372 366 47 of of IN 63372 366 48 the the DT 63372 366 49 observation observation NN 63372 366 50 . . . 63372 367 1 What what WP 63372 367 2 this this DT 63372 367 3 really really RB 63372 367 4 means mean VBZ 63372 367 5 is be VBZ 63372 367 6 that that IN 63372 367 7 the the DT 63372 367 8 distance distance NN 63372 367 9 to to IN 63372 367 10 Pittsburgh Pittsburgh NNP 63372 367 11 and and CC 63372 367 12 the the DT 63372 367 13 position position NN 63372 367 14 of of IN 63372 367 15 the the DT 63372 367 16 magnetic magnetic JJ 63372 367 17 pole pole NN 63372 367 18 are be VBP 63372 367 19 joint joint JJ 63372 367 20 properties property NNS 63372 367 21 of of IN 63372 367 22 the the DT 63372 367 23 observer observer NN 63372 367 24 and and CC 63372 367 25 the the DT 63372 367 26 observed observed JJ 63372 367 27 -- -- : 63372 367 28 relations relation NNS 63372 367 29 between between IN 63372 367 30 them -PRON- PRP 63372 367 31 , , , 63372 367 32 as as IN 63372 367 33 we -PRON- PRP 63372 367 34 might may MD 63372 367 35 put put VB 63372 367 36 it -PRON- PRP 63372 367 37 . . . 63372 368 1 This this DT 63372 368 2 is be VBZ 63372 368 3 obvious obvious JJ 63372 368 4 enough enough RB 63372 368 5 in in IN 63372 368 6 the the DT 63372 368 7 case case NN 63372 368 8 of of IN 63372 368 9 the the DT 63372 368 10 distance distance NN 63372 368 11 of of IN 63372 368 12 Pittsburgh Pittsburgh NNP 63372 368 13 ; ; : 63372 368 14 it -PRON- PRP 63372 368 15 is be VBZ 63372 368 16 hardly hardly RB 63372 368 17 so so RB 63372 368 18 obvious obvious JJ 63372 368 19 in in IN 63372 368 20 the the DT 63372 368 21 case case NN 63372 368 22 of of IN 63372 368 23 the the DT 63372 368 24 position position NN 63372 368 25 of of IN 63372 368 26 the the DT 63372 368 27 magnetic magnetic JJ 63372 368 28 pole pole NN 63372 368 29 , , , 63372 368 30 varying vary VBG 63372 368 31 with with IN 63372 368 32 the the DT 63372 368 33 lapse lapse NN 63372 368 34 of of IN 63372 368 35 time time NN 63372 368 36 . . . 63372 369 1 But but CC 63372 369 2 if if IN 63372 369 3 we -PRON- PRP 63372 369 4 reflect reflect VBP 63372 369 5 that that IN 63372 369 6 the the DT 63372 369 7 observation observation NN 63372 369 8 of of IN 63372 369 9 1900 1900 CD 63372 369 10 and and CC 63372 369 11 that that DT 63372 369 12 of of IN 63372 369 13 1921 1921 CD 63372 369 14 were be VBD 63372 369 15 both both DT 63372 369 16 valid valid JJ 63372 369 17 , , , 63372 369 18 and and CC 63372 369 19 both both DT 63372 369 20 represented represent VBD 63372 369 21 the the DT 63372 369 22 true true JJ 63372 369 23 position position NN 63372 369 24 of of IN 63372 369 25 the the DT 63372 369 26 pole pole NN 63372 369 27 for for IN 63372 369 28 the the DT 63372 369 29 observer observer NN 63372 369 30 of of IN 63372 369 31 the the DT 63372 369 32 date date NN 63372 369 33 in in IN 63372 369 34 question question NN 63372 369 35 , , , 63372 369 36 we -PRON- PRP 63372 369 37 must must MD 63372 369 38 see see VB 63372 369 39 that that IN 63372 369 40 this this DT 63372 369 41 is be VBZ 63372 369 42 the the DT 63372 369 43 only only JJ 63372 369 44 explanation explanation NN 63372 369 45 that that WDT 63372 369 46 shows show VBZ 63372 369 47 us -PRON- PRP 63372 369 48 the the DT 63372 369 49 way way NN 63372 369 50 out out RB 63372 369 51 . . . 63372 370 1 I -PRON- PRP 63372 370 2 do do VBP 63372 370 3 not not RB 63372 370 4 wish wish VB 63372 370 5 to to TO 63372 370 6 speak speak VB 63372 370 7 too too RB 63372 370 8 definitely definitely RB 63372 370 9 of of IN 63372 370 10 the the DT 63372 370 11 Einstein Einstein NNP 63372 370 12 theories theory NNS 63372 370 13 in in IN 63372 370 14 these these DT 63372 370 15 introductory introductory JJ 63372 370 16 remarks remark NNS 63372 370 17 , , , 63372 370 18 and and CC 63372 370 19 so so RB 63372 370 20 shall shall MD 63372 370 21 refrain refrain VB 63372 370 22 from from IN 63372 370 23 mentioning mention VBG 63372 370 24 explicitly explicitly RB 63372 370 25 in in IN 63372 370 26 this this DT 63372 370 27 place place NN 63372 370 28 the the DT 63372 370 29 situation situation NN 63372 370 30 which which WDT 63372 370 31 they -PRON- PRP 63372 370 32 bring bring VBP 63372 370 33 up up RP 63372 370 34 and and CC 63372 370 35 upon upon IN 63372 370 36 which which WDT 63372 370 37 what what WP 63372 370 38 I -PRON- PRP 63372 370 39 have have VBP 63372 370 40 just just RB 63372 370 41 said say VBN 63372 370 42 has have VBZ 63372 370 43 direct direct JJ 63372 370 44 bearing bearing NN 63372 370 45 . . . 63372 371 1 It -PRON- PRP 63372 371 2 will will MD 63372 371 3 be be VB 63372 371 4 recognized recognize VBN 63372 371 5 when when WRB 63372 371 6 it -PRON- PRP 63372 371 7 arises arise VBZ 63372 371 8 . . . 63372 372 1 What what WP 63372 372 2 must must MD 63372 372 3 be be VB 63372 372 4 pointed point VBN 63372 372 5 out out RP 63372 372 6 here here RB 63372 372 7 , , , 63372 372 8 however however RB 63372 372 9 , , , 63372 372 10 is be VBZ 63372 372 11 that that IN 63372 372 12 we -PRON- PRP 63372 372 13 are be VBP 63372 372 14 putting put VBG 63372 372 15 the the DT 63372 372 16 thing thing NN 63372 372 17 which which WDT 63372 372 18 the the DT 63372 372 19 scientist scientist NN 63372 372 20 calls call VBZ 63372 372 21 the the DT 63372 372 22 " " `` 63372 372 23 observed observe VBN 63372 372 24 value value NN 63372 372 25 " " '' 63372 372 26 on on IN 63372 372 27 a a DT 63372 372 28 footing footing NN 63372 372 29 of of IN 63372 372 30 vastly vastly RB 63372 372 31 greater great JJR 63372 372 32 consequence consequence NN 63372 372 33 than than IN 63372 372 34 we -PRON- PRP 63372 372 35 should should MD 63372 372 36 have have VB 63372 372 37 been be VBN 63372 372 38 willing willing JJ 63372 372 39 offhand offhand JJ 63372 372 40 to to TO 63372 372 41 concede concede VB 63372 372 42 to to IN 63372 372 43 it -PRON- PRP 63372 372 44 . . . 63372 373 1 So so RB 63372 373 2 far far RB 63372 373 3 as as IN 63372 373 4 any any DT 63372 373 5 single single JJ 63372 373 6 observer observer NN 63372 373 7 is be VBZ 63372 373 8 concerned concern VBN 63372 373 9 , , , 63372 373 10 his -PRON- PRP$ 63372 373 11 own own JJ 63372 373 12 best well RBS 63372 373 13 observed observe VBN 63372 373 14 values value NNS 63372 373 15 are be VBP 63372 373 16 themselves -PRON- PRP 63372 373 17 the the DT 63372 373 18 external external JJ 63372 373 19 world world NN 63372 373 20 ; ; : 63372 373 21 he -PRON- PRP 63372 373 22 can can MD 63372 373 23 not not RB 63372 373 24 properly properly RB 63372 373 25 go go VB 63372 373 26 behind behind IN 63372 373 27 the the DT 63372 373 28 conditions condition NNS 63372 373 29 surrounding surround VBG 63372 373 30 his -PRON- PRP$ 63372 373 31 observations observation NNS 63372 373 32 and and CC 63372 373 33 speak speak VB 63372 373 34 of of IN 63372 373 35 a a DT 63372 373 36 real real JJ 63372 373 37 external external JJ 63372 373 38 world world NN 63372 373 39 beyond beyond IN 63372 373 40 these these DT 63372 373 41 observations observation NNS 63372 373 42 . . . 63372 374 1 Any any DT 63372 374 2 world world NN 63372 374 3 which which WDT 63372 374 4 he -PRON- PRP 63372 374 5 may may MD 63372 374 6 think think VB 63372 374 7 of of IN 63372 374 8 as as IN 63372 374 9 so so RB 63372 374 10 existing existing JJ 63372 374 11 is be VBZ 63372 374 12 purely purely RB 63372 374 13 a a DT 63372 374 14 conceptual conceptual JJ 63372 374 15 world world NN 63372 374 16 , , , 63372 374 17 one one CD 63372 374 18 which which WDT 63372 374 19 for for IN 63372 374 20 some some DT 63372 374 21 reason reason NN 63372 374 22 he -PRON- PRP 63372 374 23 infers infer VBZ 63372 374 24 to to TO 63372 374 25 exist exist VB 63372 374 26 behind behind IN 63372 374 27 the the DT 63372 374 28 deceptive deceptive JJ 63372 374 29 observations observation NNS 63372 374 30 . . . 63372 375 1 Provided provide VBN 63372 375 2 he -PRON- PRP 63372 375 3 makes make VBZ 63372 375 4 this this DT 63372 375 5 reservation reservation NN 63372 375 6 he -PRON- PRP 63372 375 7 is be VBZ 63372 375 8 quite quite RB 63372 375 9 privileged privileged JJ 63372 375 10 to to TO 63372 375 11 speculate speculate VB 63372 375 12 about about IN 63372 375 13 this this DT 63372 375 14 concealed conceal VBN 63372 375 15 world world NN 63372 375 16 , , , 63372 375 17 to to TO 63372 375 18 bestow bestow VB 63372 375 19 upon upon IN 63372 375 20 it -PRON- PRP 63372 375 21 any any DT 63372 375 22 characteristics characteristic NNS 63372 375 23 that that WDT 63372 375 24 he -PRON- PRP 63372 375 25 pleases please VBZ 63372 375 26 ; ; , 63372 375 27 but but CC 63372 375 28 it -PRON- PRP 63372 375 29 can can MD 63372 375 30 have have VB 63372 375 31 no no DT 63372 375 32 real real JJ 63372 375 33 existence existence NN 63372 375 34 for for IN 63372 375 35 him -PRON- PRP 63372 375 36 until until IN 63372 375 37 he -PRON- PRP 63372 375 38 becomes become VBZ 63372 375 39 able able JJ 63372 375 40 to to TO 63372 375 41 observe observe VB 63372 375 42 it -PRON- PRP 63372 375 43 . . . 63372 376 1 The the DT 63372 376 2 only only JJ 63372 376 3 reality reality NN 63372 376 4 he -PRON- PRP 63372 376 5 knows know VBZ 63372 376 6 is be VBZ 63372 376 7 the the DT 63372 376 8 one one NN 63372 376 9 he -PRON- PRP 63372 376 10 can can MD 63372 376 11 directly directly RB 63372 376 12 observe observe VB 63372 376 13 . . . 63372 377 1 LAWS laws NN 63372 377 2 OF of IN 63372 377 3 NATURE NATURE NNP 63372 377 4 The the DT 63372 377 5 observations observation NNS 63372 377 6 which which WDT 63372 377 7 we -PRON- PRP 63372 377 8 have have VBP 63372 377 9 been be VBN 63372 377 10 discussing discuss VBG 63372 377 11 , , , 63372 377 12 and and CC 63372 377 13 which which WDT 63372 377 14 we -PRON- PRP 63372 377 15 have have VBP 63372 377 16 been be VBN 63372 377 17 trying try VBG 63372 377 18 to to TO 63372 377 19 endow endow VB 63372 377 20 with with IN 63372 377 21 characteristics characteristic NNS 63372 377 22 of of IN 63372 377 23 " " `` 63372 377 24 reality reality NN 63372 377 25 " " '' 63372 377 26 which which WDT 63372 377 27 they -PRON- PRP 63372 377 28 are be VBP 63372 377 29 frequently frequently RB 63372 377 30 not not RB 63372 377 31 realized realize VBN 63372 377 32 to to TO 63372 377 33 possess possess VB 63372 377 34 , , , 63372 377 35 are be VBP 63372 377 36 the the DT 63372 377 37 raw raw JJ 63372 377 38 material material NN 63372 377 39 of of IN 63372 377 40 physical physical JJ 63372 377 41 science science NN 63372 377 42 . . . 63372 378 1 The the DT 63372 378 2 finished finished JJ 63372 378 3 product product NN 63372 378 4 is be VBZ 63372 378 5 the the DT 63372 378 6 result result NN 63372 378 7 of of IN 63372 378 8 bringing bring VBG 63372 378 9 together together RP 63372 378 10 a a DT 63372 378 11 large large JJ 63372 378 12 number number NN 63372 378 13 of of IN 63372 378 14 these these DT 63372 378 15 observations observation NNS 63372 378 16 . . . 63372 379 1 ] ] -RRB- 63372 379 2 * * NFP 63372 379 3 [ [ -LRB- 63372 379 4 The the DT 63372 379 5 whole whole JJ 63372 379 6 underlying underlying NN 63372 379 7 thought think VBD 63372 379 8 behind behind IN 63372 379 9 the the DT 63372 379 10 making making NN 63372 379 11 of of IN 63372 379 12 observations observation NNS 63372 379 13 , , , 63372 379 14 in in IN 63372 379 15 fact fact NN 63372 379 16 , , , 63372 379 17 is be VBZ 63372 379 18 to to TO 63372 379 19 correlate correlate VB 63372 379 20 as as RB 63372 379 21 many many JJ 63372 379 22 as as IN 63372 379 23 possible possible JJ 63372 379 24 of of IN 63372 379 25 them -PRON- PRP 63372 379 26 , , , 63372 379 27 to to TO 63372 379 28 obtain obtain VB 63372 379 29 some some DT 63372 379 30 generalization generalization NN 63372 379 31 , , , 63372 379 32 and and CC 63372 379 33 finally finally RB 63372 379 34 to to TO 63372 379 35 express express VB 63372 379 36 this this DT 63372 379 37 in in IN 63372 379 38 some some DT 63372 379 39 simple simple JJ 63372 379 40 mathematical mathematical JJ 63372 379 41 form form NN 63372 379 42 . . . 63372 380 1 This this DT 63372 380 2 formulation formulation NN 63372 380 3 is be VBZ 63372 380 4 then then RB 63372 380 5 called call VBN 63372 380 6 a a DT 63372 380 7 " " `` 63372 380 8 law law NN 63372 380 9 of of IN 63372 380 10 nature nature NN 63372 380 11 . . . 63372 381 1 " " `` 63372 381 2 ] ] -RRB- 63372 381 3 35 35 CD 63372 381 4 [ [ -LRB- 63372 381 5 Much much JJ 63372 381 6 confusion confusion NN 63372 381 7 exists exist VBZ 63372 381 8 because because IN 63372 381 9 of of IN 63372 381 10 a a DT 63372 381 11 misunderstanding misunderstanding NN 63372 381 12 in in IN 63372 381 13 the the DT 63372 381 14 lay lay JJ 63372 381 15 mind mind NN 63372 381 16 of of IN 63372 381 17 what what WP 63372 381 18 is be VBZ 63372 381 19 meant mean VBN 63372 381 20 by by IN 63372 381 21 a a DT 63372 381 22 " " `` 63372 381 23 law law NN 63372 381 24 of of IN 63372 381 25 nature nature NN 63372 381 26 . . . 63372 381 27 " " '' 63372 382 1 It -PRON- PRP 63372 382 2 is be VBZ 63372 382 3 perhaps perhaps RB 63372 382 4 not not RB 63372 382 5 a a DT 63372 382 6 well well RB 63372 382 7 chosen choose VBN 63372 382 8 term term NN 63372 382 9 . . . 63372 383 1 One one CD 63372 383 2 is be VBZ 63372 383 3 accustomed accustom VBN 63372 383 4 to to TO 63372 383 5 associate associate VB 63372 383 6 the the DT 63372 383 7 word word NN 63372 383 8 law law NN 63372 383 9 with with IN 63372 383 10 the the DT 63372 383 11 idea idea NN 63372 383 12 of of IN 63372 383 13 necessity necessity NN 63372 383 14 or or CC 63372 383 15 compulsion compulsion NN 63372 383 16 . . . 63372 384 1 In in IN 63372 384 2 the the DT 63372 384 3 realm realm NN 63372 384 4 of of IN 63372 384 5 nature nature NN 63372 384 6 the the DT 63372 384 7 term term NN 63372 384 8 carries carry VBZ 63372 384 9 no no DT 63372 384 10 such such JJ 63372 384 11 meaning meaning NN 63372 384 12 . . . 63372 385 1 The the DT 63372 385 2 laws law NNS 63372 385 3 of of IN 63372 385 4 nature nature NN 63372 385 5 are be VBP 63372 385 6 man man NN 63372 385 7 's 's POS 63372 385 8 imperfect imperfect JJ 63372 385 9 attempts attempt NNS 63372 385 10 to to TO 63372 385 11 explain explain VB 63372 385 12 natural natural JJ 63372 385 13 phenomena phenomenon NNS 63372 385 14 ; ; : 63372 385 15 they -PRON- PRP 63372 385 16 are be VBP 63372 385 17 not not RB 63372 385 18 inherent inherent JJ 63372 385 19 in in IN 63372 385 20 matter matter NN 63372 385 21 and and CC 63372 385 22 the the DT 63372 385 23 universe universe NN 63372 385 24 , , , 63372 385 25 not not RB 63372 385 26 an an DT 63372 385 27 iron iron NN 63372 385 28 bar bar NN 63372 385 29 of of IN 63372 385 30 necessity necessity NN 63372 385 31 running run VBG 63372 385 32 through through IN 63372 385 33 worlds world NNS 63372 385 34 , , , 63372 385 35 systems system NNS 63372 385 36 and and CC 63372 385 37 suns sun NNS 63372 385 38 . . . 63372 386 1 Laws law NNS 63372 386 2 of of IN 63372 386 3 nature nature NN 63372 386 4 are be VBP 63372 386 5 little little RB 63372 386 6 more more JJR 63372 386 7 than than IN 63372 386 8 working work VBG 63372 386 9 hypotheses hypothesis NNS 63372 386 10 , , , 63372 386 11 subject subject JJ 63372 386 12 to to IN 63372 386 13 change change NN 63372 386 14 or or CC 63372 386 15 alteration alteration NN 63372 386 16 or or CC 63372 386 17 enlargement enlargement NN 63372 386 18 or or CC 63372 386 19 even even RB 63372 386 20 abandonment abandonment JJ 63372 386 21 , , , 63372 386 22 as as IN 63372 386 23 man man NN 63372 386 24 's 's POS 63372 386 25 vision vision NN 63372 386 26 widens widen VBZ 63372 386 27 and and CC 63372 386 28 deepens deepen NNS 63372 386 29 . . . 63372 387 1 No no DT 63372 387 2 sanctity sanctity NN 63372 387 3 attaches attach VBZ 63372 387 4 to to IN 63372 387 5 them -PRON- PRP 63372 387 6 , , , 63372 387 7 and and CC 63372 387 8 if if IN 63372 387 9 any any DT 63372 387 10 one one CD 63372 387 11 , , , 63372 387 12 or or CC 63372 387 13 all all DT 63372 387 14 , , , 63372 387 15 of of IN 63372 387 16 them -PRON- PRP 63372 387 17 fail fail VBP 63372 387 18 to to TO 63372 387 19 account account VB 63372 387 20 for for IN 63372 387 21 any any DT 63372 387 22 part part NN 63372 387 23 , , , 63372 387 24 or or CC 63372 387 25 all all DT 63372 387 26 , , , 63372 387 27 of of IN 63372 387 28 the the DT 63372 387 29 phenomena phenomenon NNS 63372 387 30 of of IN 63372 387 31 the the DT 63372 387 32 universe universe NN 63372 387 33 , , , 63372 387 34 then then RB 63372 387 35 it -PRON- PRP 63372 387 36 or or CC 63372 387 37 they -PRON- PRP 63372 387 38 must must MD 63372 387 39 be be VB 63372 387 40 supplemented supplement VBN 63372 387 41 or or CC 63372 387 42 abandoned abandon VBN 63372 387 43 . . . 63372 388 1 ] ] -RRB- 63372 388 2 102 102 CD 63372 388 3 [ [ -LRB- 63372 388 4 The the DT 63372 388 5 test test NN 63372 388 6 of of IN 63372 388 7 one one CD 63372 388 8 of of IN 63372 388 9 these these DT 63372 388 10 laws law NNS 63372 388 11 is be VBZ 63372 388 12 that that IN 63372 388 13 it -PRON- PRP 63372 388 14 can can MD 63372 388 15 be be VB 63372 388 16 shown show VBN 63372 388 17 to to TO 63372 388 18 include include VB 63372 388 19 all all PDT 63372 388 20 the the DT 63372 388 21 related related JJ 63372 388 22 phenomena phenomenon NNS 63372 388 23 hitherto hitherto VBD 63372 388 24 known know VBN 63372 388 25 and and CC 63372 388 26 that that IN 63372 388 27 it -PRON- PRP 63372 388 28 enables enable VBZ 63372 388 29 us -PRON- PRP 63372 388 30 to to TO 63372 388 31 predict predict VB 63372 388 32 new new JJ 63372 388 33 phenomena phenomenon NNS 63372 388 34 which which WDT 63372 388 35 can can MD 63372 388 36 then then RB 63372 388 37 be be VB 63372 388 38 verified verify VBN 63372 388 39 . . . 63372 389 1 If if IN 63372 389 2 new new JJ 63372 389 3 facts fact NNS 63372 389 4 are be VBP 63372 389 5 discovered discover VBN 63372 389 6 that that WDT 63372 389 7 are be VBP 63372 389 8 not not RB 63372 389 9 in in IN 63372 389 10 agreement agreement NN 63372 389 11 with with IN 63372 389 12 one one CD 63372 389 13 of of IN 63372 389 14 these these DT 63372 389 15 generalized generalize VBN 63372 389 16 statements statement NNS 63372 389 17 , , , 63372 389 18 the the DT 63372 389 19 assumptions assumption NNS 63372 389 20 on on IN 63372 389 21 which which WDT 63372 389 22 the the DT 63372 389 23 latter latter NN 63372 389 24 is be VBZ 63372 389 25 based base VBN 63372 389 26 are be VBP 63372 389 27 examined examine VBN 63372 389 28 , , , 63372 389 29 those those DT 63372 389 30 which which WDT 63372 389 31 are be VBP 63372 389 32 not not RB 63372 389 33 in in IN 63372 389 34 accordance accordance NN 63372 389 35 with with IN 63372 389 36 the the DT 63372 389 37 new new JJ 63372 389 38 facts fact NNS 63372 389 39 are be VBP 63372 389 40 given give VBN 63372 389 41 up up RP 63372 389 42 , , , 63372 389 43 and and CC 63372 389 44 the the DT 63372 389 45 statement statement NN 63372 389 46 is be VBZ 63372 389 47 modified modify VBN 63372 389 48 so so IN 63372 389 49 as as IN 63372 389 50 to to TO 63372 389 51 include include VB 63372 389 52 the the DT 63372 389 53 new new JJ 63372 389 54 facts fact NNS 63372 389 55 . . . 63372 390 1 ] ] -RRB- 63372 390 2 10 10 CD 63372 390 3 [ [ -LRB- 63372 390 4 And and CC 63372 390 5 if if IN 63372 390 6 one one CD 63372 390 7 remembers remember VBZ 63372 390 8 that that IN 63372 390 9 the the DT 63372 390 10 laws law NNS 63372 390 11 of of IN 63372 390 12 physics physics NN 63372 390 13 were be VBD 63372 390 14 formerly formerly RB 63372 390 15 based base VBN 63372 390 16 on on IN 63372 390 17 a a DT 63372 390 18 range range NN 63372 390 19 of of IN 63372 390 20 observations observation NNS 63372 390 21 much much RB 63372 390 22 narrower narrow JJR 63372 390 23 than than IN 63372 390 24 at at IN 63372 390 25 present present JJ 63372 390 26 available available JJ 63372 390 27 , , , 63372 390 28 it -PRON- PRP 63372 390 29 seems seem VBZ 63372 390 30 natural natural JJ 63372 390 31 that that IN 63372 390 32 in in IN 63372 390 33 the the DT 63372 390 34 light light NN 63372 390 35 of of IN 63372 390 36 this this DT 63372 390 37 widening widen VBG 63372 390 38 knowledge knowledge NN 63372 390 39 one one CD 63372 390 40 law law NN 63372 390 41 or or CC 63372 390 42 another another DT 63372 390 43 may may MD 63372 390 44 be be VB 63372 390 45 seen see VBN 63372 390 46 to to TO 63372 390 47 be be VB 63372 390 48 narrow narrow JJ 63372 390 49 and and CC 63372 390 50 insufficient insufficient JJ 63372 390 51 . . . 63372 391 1 New new JJ 63372 391 2 theories theory NNS 63372 391 3 and and CC 63372 391 4 laws law NNS 63372 391 5 do do VBP 63372 391 6 not not RB 63372 391 7 necessarily necessarily RB 63372 391 8 disprove disprove VB 63372 391 9 old old JJ 63372 391 10 ones one NNS 63372 391 11 , , , 63372 391 12 but but CC 63372 391 13 explain explain VB 63372 391 14 certain certain JJ 63372 391 15 discrepancies discrepancy NNS 63372 391 16 in in IN 63372 391 17 them -PRON- PRP 63372 391 18 and and CC 63372 391 19 penetrate penetrate VB 63372 391 20 more more RBR 63372 391 21 deeply deeply RB 63372 391 22 into into IN 63372 391 23 their -PRON- PRP$ 63372 391 24 underlying underlying JJ 63372 391 25 principles principle NNS 63372 391 26 , , , 63372 391 27 thereby thereby RB 63372 391 28 broadening broaden VBG 63372 391 29 our -PRON- PRP$ 63372 391 30 ideas idea NNS 63372 391 31 of of IN 63372 391 32 the the DT 63372 391 33 universe universe NN 63372 391 34 . . . 63372 392 1 To to TO 63372 392 2 follow follow VB 63372 392 3 the the DT 63372 392 4 new new JJ 63372 392 5 reasoning reasoning NN 63372 392 6 we -PRON- PRP 63372 392 7 must must MD 63372 392 8 rid rid VB 63372 392 9 ourselves -PRON- PRP 63372 392 10 of of IN 63372 392 11 the the DT 63372 392 12 prejudice prejudice NN 63372 392 13 behind behind IN 63372 392 14 the the DT 63372 392 15 old old JJ 63372 392 16 , , , 63372 392 17 not not RB 63372 392 18 because because IN 63372 392 19 it -PRON- PRP 63372 392 20 is be VBZ 63372 392 21 wrong wrong JJ 63372 392 22 but but CC 63372 392 23 because because IN 63372 392 24 it -PRON- PRP 63372 392 25 is be VBZ 63372 392 26 insufficient insufficient JJ 63372 392 27 . . . 63372 393 1 The the DT 63372 393 2 universe universe NN 63372 393 3 will will MD 63372 393 4 not not RB 63372 393 5 be be VB 63372 393 6 distorted distort VBN 63372 393 7 to to TO 63372 393 8 fit fit VB 63372 393 9 our -PRON- PRP$ 63372 393 10 rules rule NNS 63372 393 11 , , , 63372 393 12 but but CC 63372 393 13 will will MD 63372 393 14 teach teach VB 63372 393 15 us -PRON- PRP 63372 393 16 the the DT 63372 393 17 rules rule NNS 63372 393 18 of of IN 63372 393 19 existence existence NN 63372 393 20 . . . 63372 394 1 ] ] -RRB- 63372 394 2 125 125 CD 63372 394 3 [ [ -LRB- 63372 394 4 Always always RB 63372 394 5 , , , 63372 394 6 however however RB 63372 394 7 , , , 63372 394 8 we -PRON- PRP 63372 394 9 must must MD 63372 394 10 guard guard VB 63372 394 11 against against IN 63372 394 12 the the DT 63372 394 13 too too RB 63372 394 14 easy easy JJ 63372 394 15 error error NN 63372 394 16 of of IN 63372 394 17 attributing attribute VBG 63372 394 18 to to IN 63372 394 19 these these DT 63372 394 20 rules rule NNS 63372 394 21 anything anything NN 63372 394 22 like like IN 63372 394 23 absolute absolute JJ 63372 394 24 truth truth NN 63372 394 25 . . . 63372 395 1 ] ] -RRB- 63372 395 2 * * NFP 63372 395 3 [ [ -LRB- 63372 395 4 The the DT 63372 395 5 modern modern JJ 63372 395 6 scientist scientist NN 63372 395 7 has have VBZ 63372 395 8 attained attain VBN 63372 395 9 a a DT 63372 395 10 very very RB 63372 395 11 business business NN 63372 395 12 - - HYPH 63372 395 13 like like JJ 63372 395 14 point point NN 63372 395 15 of of IN 63372 395 16 view view NN 63372 395 17 toward toward IN 63372 395 18 his -PRON- PRP$ 63372 395 19 " " `` 63372 395 20 laws law NNS 63372 395 21 of of IN 63372 395 22 nature nature NN 63372 395 23 . . . 63372 395 24 " " '' 63372 396 1 To to IN 63372 396 2 him -PRON- PRP 63372 396 3 a a DT 63372 396 4 law law NN 63372 396 5 is be VBZ 63372 396 6 fundamentally fundamentally RB 63372 396 7 nothing nothing NN 63372 396 8 but but IN 63372 396 9 a a DT 63372 396 10 short short JJ 63372 396 11 - - HYPH 63372 396 12 hand hand NN 63372 396 13 way way NN 63372 396 14 of of IN 63372 396 15 expressing express VBG 63372 396 16 the the DT 63372 396 17 results result NNS 63372 396 18 of of IN 63372 396 19 a a DT 63372 396 20 large large JJ 63372 396 21 number number NN 63372 396 22 of of IN 63372 396 23 experiments experiment NNS 63372 396 24 in in IN 63372 396 25 a a DT 63372 396 26 single single JJ 63372 396 27 statement statement NN 63372 396 28 . . . 63372 397 1 And and CC 63372 397 2 it -PRON- PRP 63372 397 3 is be VBZ 63372 397 4 important important JJ 63372 397 5 to to TO 63372 397 6 remember remember VB 63372 397 7 that that IN 63372 397 8 this this DT 63372 397 9 mere mere JJ 63372 397 10 shortening shortening NN 63372 397 11 of of IN 63372 397 12 the the DT 63372 397 13 description description NN 63372 397 14 of of IN 63372 397 15 a a DT 63372 397 16 lot lot NN 63372 397 17 of of IN 63372 397 18 diverse diverse JJ 63372 397 19 occurrences occurrence NNS 63372 397 20 is be VBZ 63372 397 21 by by IN 63372 397 22 no no DT 63372 397 23 means means NN 63372 397 24 any any DT 63372 397 25 real real JJ 63372 397 26 explanation explanation NN 63372 397 27 of of IN 63372 397 28 how how WRB 63372 397 29 and and CC 63372 397 30 why why WRB 63372 397 31 they -PRON- PRP 63372 397 32 happened happen VBD 63372 397 33 . . . 63372 398 1 In in IN 63372 398 2 other other JJ 63372 398 3 words word NNS 63372 398 4 , , , 63372 398 5 the the DT 63372 398 6 aim aim NN 63372 398 7 of of IN 63372 398 8 science science NN 63372 398 9 is be VBZ 63372 398 10 not not RB 63372 398 11 ultimately ultimately RB 63372 398 12 to to TO 63372 398 13 explain explain VB 63372 398 14 but but CC 63372 398 15 only only RB 63372 398 16 to to TO 63372 398 17 discover discover VB 63372 398 18 the the DT 63372 398 19 relations relation NNS 63372 398 20 that that WDT 63372 398 21 hold hold VBP 63372 398 22 good good JJ 63372 398 23 among among IN 63372 398 24 physical physical JJ 63372 398 25 quantities quantity NNS 63372 398 26 and and CC 63372 398 27 to to TO 63372 398 28 embody embody VB 63372 398 29 all all PDT 63372 398 30 these these DT 63372 398 31 relations relation NNS 63372 398 32 in in IN 63372 398 33 as as RB 63372 398 34 few few JJ 63372 398 35 and and CC 63372 398 36 as as IN 63372 398 37 simple simple JJ 63372 398 38 physical physical JJ 63372 398 39 laws law NNS 63372 398 40 as as IN 63372 398 41 possible possible JJ 63372 398 42 . . . 63372 399 1 ] ] -RRB- 63372 399 2 221 221 CD 63372 399 3 [ [ -LRB- 63372 399 4 This this DT 63372 399 5 is be VBZ 63372 399 6 inherently inherently RB 63372 399 7 the the DT 63372 399 8 method method NN 63372 399 9 of of IN 63372 399 10 relativism relativism NN 63372 399 11 . . . 63372 400 1 ] ] -RRB- 63372 400 2 * * NFP 63372 400 3 [ [ -LRB- 63372 400 4 Under under IN 63372 400 5 it -PRON- PRP 63372 400 6 a a DT 63372 400 7 set set NN 63372 400 8 of of IN 63372 400 9 phenomena phenomenon NNS 63372 400 10 is be VBZ 63372 400 11 observed observe VBN 63372 400 12 . . . 63372 401 1 There there EX 63372 401 2 are be VBP 63372 401 3 two two CD 63372 401 4 or or CC 63372 401 5 many many JJ 63372 401 6 observers observer NNS 63372 401 7 , , , 63372 401 8 and and CC 63372 401 9 they -PRON- PRP 63372 401 10 write write VBP 63372 401 11 down down RP 63372 401 12 their -PRON- PRP$ 63372 401 13 several several JJ 63372 401 14 findings finding NNS 63372 401 15 . . . 63372 402 1 These these DT 63372 402 2 are be VBP 63372 402 3 reviewed review VBN 63372 402 4 by by IN 63372 402 5 a a DT 63372 402 6 final final JJ 63372 402 7 observer observer NN 63372 402 8 or or CC 63372 402 9 judge judge NN 63372 402 10 , , , 63372 402 11 who who WP 63372 402 12 strains strain VBZ 63372 402 13 out out RP 63372 402 14 the the DT 63372 402 15 bias bias NN 63372 402 16 due due IN 63372 402 17 to to IN 63372 402 18 the the DT 63372 402 19 different different JJ 63372 402 20 viewpoints viewpoint NNS 63372 402 21 of of IN 63372 402 22 the the DT 63372 402 23 original original JJ 63372 402 24 observers observer NNS 63372 402 25 . . . 63372 403 1 He -PRON- PRP 63372 403 2 then then RB 63372 403 3 writes write VBZ 63372 403 4 down down RP 63372 403 5 , , , 63372 403 6 not not RB 63372 403 7 any any DT 63372 403 8 absolute absolute JJ 63372 403 9 law law NN 63372 403 10 of of IN 63372 403 11 nature nature NN 63372 403 12 governing govern VBG 63372 403 13 the the DT 63372 403 14 observed observed JJ 63372 403 15 phenomena phenomenon NNS 63372 403 16 , , , 63372 403 17 but but CC 63372 403 18 a a DT 63372 403 19 law law NN 63372 403 20 as as RB 63372 403 21 general general JJ 63372 403 22 as as IN 63372 403 23 possible possible JJ 63372 403 24 expressing express VBG 63372 403 25 their -PRON- PRP$ 63372 403 26 interrelations interrelation NNS 63372 403 27 . . . 63372 404 1 ] ] -RRB- 63372 404 2 121 121 CD 63372 404 3 [ [ -LRB- 63372 404 4 And and CC 63372 404 5 through through IN 63372 404 6 this this DT 63372 404 7 procedure procedure NN 63372 404 8 modern modern JJ 63372 404 9 science science NN 63372 404 10 and and CC 63372 404 11 philosophy philosophy NN 63372 404 12 reveal reveal VB 63372 404 13 with with IN 63372 404 14 increasing increase VBG 63372 404 15 emphasis emphasis NN 63372 404 16 that that WDT 63372 404 17 we -PRON- PRP 63372 404 18 superimpose superimpose VBP 63372 404 19 our -PRON- PRP$ 63372 404 20 human human JJ 63372 404 21 qualities quality NNS 63372 404 22 on on IN 63372 404 23 external external JJ 63372 404 24 nature nature NN 63372 404 25 to to IN 63372 404 26 such such PDT 63372 404 27 an an DT 63372 404 28 extent extent NN 63372 404 29 that]106 that]106 UH 63372 404 30 [ [ -LRB- 63372 404 31 we -PRON- PRP 63372 404 32 have have VBP 63372 404 33 at at IN 63372 404 34 once once RB 63372 404 35 the the DT 63372 404 36 strongest strong JJS 63372 404 37 practical practical JJ 63372 404 38 justification justification NN 63372 404 39 , , , 63372 404 40 in in IN 63372 404 41 addition addition NN 63372 404 42 to to IN 63372 404 43 the the DT 63372 404 44 arguments argument NNS 63372 404 45 of of IN 63372 404 46 reason reason NN 63372 404 47 , , , 63372 404 48 for for IN 63372 404 49 our -PRON- PRP$ 63372 404 50 insistence insistence NN 63372 404 51 that that IN 63372 404 52 the the DT 63372 404 53 contact contact NN 63372 404 54 between between IN 63372 404 55 objective objective JJ 63372 404 56 and and CC 63372 404 57 subjective subjective JJ 63372 404 58 represented represent VBN 63372 404 59 by by IN 63372 404 60 the the DT 63372 404 61 observation observation NN 63372 404 62 is be VBZ 63372 404 63 the the DT 63372 404 64 only only JJ 63372 404 65 thing thing NN 63372 404 66 which which WDT 63372 404 67 we -PRON- PRP 63372 404 68 shall shall MD 63372 404 69 ever ever RB 63372 404 70 be be VB 63372 404 71 able able JJ 63372 404 72 to to TO 63372 404 73 recognize recognize VB 63372 404 74 as as IN 63372 404 75 real real JJ 63372 404 76 . . . 63372 405 1 We -PRON- PRP 63372 405 2 may may MD 63372 405 3 indulge indulge VB 63372 405 4 in in IN 63372 405 5 abstract abstract JJ 63372 405 6 metaphysical metaphysical JJ 63372 405 7 speculation speculation NN 63372 405 8 to to IN 63372 405 9 our -PRON- PRP$ 63372 405 10 heart heart NN 63372 405 11 's 's POS 63372 405 12 content content NN 63372 405 13 , , , 63372 405 14 if if IN 63372 405 15 we -PRON- PRP 63372 405 16 be be VBP 63372 405 17 metaphysically metaphysically RB 63372 405 18 inclined inclined JJ 63372 405 19 ; ; : 63372 405 20 we -PRON- PRP 63372 405 21 may may MD 63372 405 22 not not RB 63372 405 23 attempt attempt VB 63372 405 24 to to TO 63372 405 25 impose impose VB 63372 405 26 the the DT 63372 405 27 dicta dicta NN 63372 405 28 of of IN 63372 405 29 metaphysics metaphysic NNS 63372 405 30 upon upon IN 63372 405 31 the the DT 63372 405 32 physical physical JJ 63372 405 33 scientist scientist NN 63372 405 34 . . . 63372 406 1 ] ] -RRB- 63372 406 2 * * NFP 63372 406 3 CONCEPTS concept NNS 63372 406 4 AND and CC 63372 406 5 REALITIES reality NNS 63372 406 6 [ [ -LRB- 63372 406 7 From from IN 63372 406 8 the the DT 63372 406 9 inquiry inquiry NN 63372 406 10 and and CC 63372 406 11 criticism criticism NN 63372 406 12 which which WDT 63372 406 13 have have VBP 63372 406 14 gone go VBN 63372 406 15 on on RP 63372 406 16 for for IN 63372 406 17 centuries century NNS 63372 406 18 has have VBZ 63372 406 19 emerged emerge VBN 63372 406 20 the the DT 63372 406 21 following follow VBG 63372 406 22 present present JJ 63372 406 23 - - HYPH 63372 406 24 day day NN 63372 406 25 attitude attitude NN 63372 406 26 of of IN 63372 406 27 mind mind NN 63372 406 28 toward toward IN 63372 406 29 the the DT 63372 406 30 sum sum NN 63372 406 31 total total NN 63372 406 32 of of IN 63372 406 33 our -PRON- PRP$ 63372 406 34 knowledge knowledge NN 63372 406 35 . . . 63372 407 1 The the DT 63372 407 2 conceptual conceptual JJ 63372 407 3 universe universe NN 63372 407 4 in in IN 63372 407 5 our -PRON- PRP$ 63372 407 6 minds mind NNS 63372 407 7 in in IN 63372 407 8 some some DT 63372 407 9 mysterious mysterious JJ 63372 407 10 way way NN 63372 407 11 parallels parallel VBZ 63372 407 12 the the DT 63372 407 13 real real JJ 63372 407 14 universe universe NN 63372 407 15 , , , 63372 407 16 but but CC 63372 407 17 is be VBZ 63372 407 18 totally totally RB 63372 407 19 unlike unlike IN 63372 407 20 it -PRON- PRP 63372 407 21 . . . 63372 408 1 Our -PRON- PRP$ 63372 408 2 conceptions conception NNS 63372 408 3 ( ( -LRB- 63372 408 4 ideas idea NNS 63372 408 5 ) ) -RRB- 63372 408 6 of of IN 63372 408 7 matter matter NN 63372 408 8 , , , 63372 408 9 molecules molecule NNS 63372 408 10 , , , 63372 408 11 atoms atom NNS 63372 408 12 , , , 63372 408 13 corpuscles corpuscle NNS 63372 408 14 , , , 63372 408 15 electrons electron NNS 63372 408 16 , , , 63372 408 17 the the DT 63372 408 18 ether ether NN 63372 408 19 , , , 63372 408 20 motion motion NN 63372 408 21 , , , 63372 408 22 force force NN 63372 408 23 , , , 63372 408 24 energy energy NN 63372 408 25 , , , 63372 408 26 space space NN 63372 408 27 , , , 63372 408 28 and and CC 63372 408 29 time time NN 63372 408 30 stand stand NN 63372 408 31 in in IN 63372 408 32 the the DT 63372 408 33 same same JJ 63372 408 34 or or CC 63372 408 35 similar similar JJ 63372 408 36 relation relation NN 63372 408 37 to to IN 63372 408 38 reality reality NN 63372 408 39 as as IN 63372 408 40 the the DT 63372 408 41 x x NN 63372 408 42 's 's POS 63372 408 43 and and CC 63372 408 44 y y NNP 63372 408 45 's 's POS 63372 408 46 of of IN 63372 408 47 the the DT 63372 408 48 mathematician mathematician NN 63372 408 49 do do VBP 63372 408 50 to to IN 63372 408 51 the the DT 63372 408 52 entities entity NNS 63372 408 53 of of IN 63372 408 54 his -PRON- PRP$ 63372 408 55 problem problem NN 63372 408 56 . . . 63372 409 1 Matter Matter NNP 63372 409 2 , , , 63372 409 3 molecules molecule NNS 63372 409 4 , , , 63372 409 5 atoms atom NNS 63372 409 6 , , , 63372 409 7 corpuscles corpuscle NNS 63372 409 8 , , , 63372 409 9 electrons electron NNS 63372 409 10 , , , 63372 409 11 the the DT 63372 409 12 ether ether NN 63372 409 13 , , , 63372 409 14 motion motion NN 63372 409 15 , , , 63372 409 16 force force NN 63372 409 17 , , , 63372 409 18 energy energy NN 63372 409 19 , , , 63372 409 20 space space NN 63372 409 21 , , , 63372 409 22 and and CC 63372 409 23 time time NN 63372 409 24 do do VBP 63372 409 25 not not RB 63372 409 26 exist exist VB 63372 409 27 actually actually RB 63372 409 28 and and CC 63372 409 29 really really RB 63372 409 30 as as IN 63372 409 31 we -PRON- PRP 63372 409 32 conceive conceive VBP 63372 409 33 them -PRON- PRP 63372 409 34 , , , 63372 409 35 nor nor CC 63372 409 36 do do VBP 63372 409 37 they -PRON- PRP 63372 409 38 have have VB 63372 409 39 actually actually RB 63372 409 40 and and CC 63372 409 41 really really RB 63372 409 42 the the DT 63372 409 43 qualities quality NNS 63372 409 44 and and CC 63372 409 45 characteristics characteristic NNS 63372 409 46 with with IN 63372 409 47 which which WDT 63372 409 48 we -PRON- PRP 63372 409 49 endow endow VBP 63372 409 50 them -PRON- PRP 63372 409 51 . . . 63372 410 1 The the DT 63372 410 2 concepts concept NNS 63372 410 3 are be VBP 63372 410 4 simply simply RB 63372 410 5 representations representation NNS 63372 410 6 of of IN 63372 410 7 things thing NNS 63372 410 8 outside outside IN 63372 410 9 ourselves -PRON- PRP 63372 410 10 ; ; : 63372 410 11 things thing NNS 63372 410 12 which which WDT 63372 410 13 , , , 63372 410 14 while while IN 63372 410 15 real real JJ 63372 410 16 , , , 63372 410 17 have have VBP 63372 410 18 an an DT 63372 410 19 essential essential JJ 63372 410 20 nature nature NN 63372 410 21 not not RB 63372 410 22 known know VBN 63372 410 23 to to IN 63372 410 24 us -PRON- PRP 63372 410 25 . . . 63372 411 1 Matter Matter NNP 63372 411 2 , , , 63372 411 3 molecules molecule NNS 63372 411 4 , , , 63372 411 5 atoms atom NNS 63372 411 6 , , , 63372 411 7 corpuscles corpuscle NNS 63372 411 8 , , , 63372 411 9 electrons electron NNS 63372 411 10 , , , 63372 411 11 the the DT 63372 411 12 ether ether NN 63372 411 13 , , , 63372 411 14 motion motion NN 63372 411 15 , , , 63372 411 16 force force NN 63372 411 17 , , , 63372 411 18 energy energy NN 63372 411 19 , , , 63372 411 20 space space NN 63372 411 21 and and CC 63372 411 22 time time NN 63372 411 23 are be VBP 63372 411 24 merely merely RB 63372 411 25 devices device NNS 63372 411 26 , , , 63372 411 27 symbols symbol NNS 63372 411 28 , , , 63372 411 29 which which WDT 63372 411 30 enable enable VBP 63372 411 31 us -PRON- PRP 63372 411 32 to to TO 63372 411 33 reason reason VB 63372 411 34 about about IN 63372 411 35 reality reality NN 63372 411 36 . . . 63372 412 1 They -PRON- PRP 63372 412 2 are be VBP 63372 412 3 parts part NNS 63372 412 4 of of IN 63372 412 5 a a DT 63372 412 6 conceptual conceptual JJ 63372 412 7 mechanism mechanism NN 63372 412 8 in in IN 63372 412 9 our -PRON- PRP$ 63372 412 10 minds mind NNS 63372 412 11 which which WDT 63372 412 12 operates operate VBZ 63372 412 13 , , , 63372 412 14 or or CC 63372 412 15 enables enable VBZ 63372 412 16 our -PRON- PRP$ 63372 412 17 minds mind NNS 63372 412 18 to to TO 63372 412 19 operate operate VB 63372 412 20 , , , 63372 412 21 in in IN 63372 412 22 the the DT 63372 412 23 same same JJ 63372 412 24 sequence sequence NN 63372 412 25 of of IN 63372 412 26 events event NNS 63372 412 27 as as IN 63372 412 28 the the DT 63372 412 29 sequence sequence NN 63372 412 30 of of IN 63372 412 31 phenomena phenomenon NNS 63372 412 32 in in IN 63372 412 33 the the DT 63372 412 34 external external JJ 63372 412 35 universe universe NN 63372 412 36 , , , 63372 412 37 so so IN 63372 412 38 that that IN 63372 412 39 when when WRB 63372 412 40 we -PRON- PRP 63372 412 41 perceive perceive VBP 63372 412 42 by by IN 63372 412 43 our -PRON- PRP$ 63372 412 44 senses sense NNS 63372 412 45 a a DT 63372 412 46 group group NN 63372 412 47 of of IN 63372 412 48 phenomena phenomenon NNS 63372 412 49 in in IN 63372 412 50 the the DT 63372 412 51 external external JJ 63372 412 52 universe universe NN 63372 412 53 , , , 63372 412 54 we -PRON- PRP 63372 412 55 can can MD 63372 412 56 reason reason VB 63372 412 57 out out RP 63372 412 58 what what WDT 63372 412 59 result result NN 63372 412 60 will will MD 63372 412 61 flow flow VB 63372 412 62 from from IN 63372 412 63 the the DT 63372 412 64 interaction interaction NN 63372 412 65 of of IN 63372 412 66 the the DT 63372 412 67 realities reality NNS 63372 412 68 involved involve VBN 63372 412 69 , , , 63372 412 70 and and CC 63372 412 71 thus thus RB 63372 412 72 predict predict VB 63372 412 73 what what WP 63372 412 74 the the DT 63372 412 75 situation situation NN 63372 412 76 will will MD 63372 412 77 be be VB 63372 412 78 at at IN 63372 412 79 a a DT 63372 412 80 given give VBN 63372 412 81 stage stage NN 63372 412 82 in in IN 63372 412 83 the the DT 63372 412 84 sequence sequence NN 63372 412 85 . . . 63372 413 1 But but CC 63372 413 2 while while IN 63372 413 3 our -PRON- PRP$ 63372 413 4 conceptual conceptual JJ 63372 413 5 universe universe NN 63372 413 6 has have VBZ 63372 413 7 thus thus RB 63372 413 8 a a DT 63372 413 9 mechanical mechanical JJ 63372 413 10 aspect aspect NN 63372 413 11 , , , 63372 413 12 we -PRON- PRP 63372 413 13 do do VBP 63372 413 14 not not RB 63372 413 15 regard regard VB 63372 413 16 the the DT 63372 413 17 real real JJ 63372 413 18 universe universe NN 63372 413 19 as as IN 63372 413 20 mechanical mechanical JJ 63372 413 21 in in IN 63372 413 22 its -PRON- PRP$ 63372 413 23 nature nature NN 63372 413 24 . . . 63372 414 1 ] ] -RRB- 63372 414 2 283 283 CD 63372 414 3 [ [ -LRB- 63372 414 4 This this DT 63372 414 5 may may MD 63372 414 6 be be VB 63372 414 7 illustrated illustrate VBN 63372 414 8 by by IN 63372 414 9 a a DT 63372 414 10 little little JJ 63372 414 11 story story NN 63372 414 12 . . . 63372 415 1 Entering enter VBG 63372 415 2 his -PRON- PRP$ 63372 415 3 friend friend NN 63372 415 4 's 's POS 63372 415 5 house house NN 63372 415 6 , , , 63372 415 7 a a DT 63372 415 8 gentleman gentleman NN 63372 415 9 is be VBZ 63372 415 10 seized seize VBN 63372 415 11 unawares unaware NNS 63372 415 12 from from IN 63372 415 13 behind behind RB 63372 415 14 . . . 63372 416 1 He -PRON- PRP 63372 416 2 turns turn VBZ 63372 416 3 his -PRON- PRP$ 63372 416 4 head head NN 63372 416 5 but but CC 63372 416 6 sees see VBZ 63372 416 7 nothing nothing NN 63372 416 8 . . . 63372 417 1 His -PRON- PRP$ 63372 417 2 hat hat NN 63372 417 3 and and CC 63372 417 4 coat coat NN 63372 417 5 are be VBP 63372 417 6 removed remove VBN 63372 417 7 and and CC 63372 417 8 deposited deposit VBN 63372 417 9 in in IN 63372 417 10 their -PRON- PRP$ 63372 417 11 proper proper JJ 63372 417 12 places place NNS 63372 417 13 by by IN 63372 417 14 some some DT 63372 417 15 invisible invisible JJ 63372 417 16 agent agent NN 63372 417 17 , , , 63372 417 18 seats seat NNS 63372 417 19 and and CC 63372 417 20 tables table NNS 63372 417 21 and and CC 63372 417 22 refreshments refreshment NNS 63372 417 23 appear appear VBP 63372 417 24 in in IN 63372 417 25 due due JJ 63372 417 26 time time NN 63372 417 27 where where WRB 63372 417 28 they -PRON- PRP 63372 417 29 are be VBP 63372 417 30 required require VBN 63372 417 31 , , , 63372 417 32 all all RB 63372 417 33 without without IN 63372 417 34 any any DT 63372 417 35 apparent apparent JJ 63372 417 36 cause cause NN 63372 417 37 . . . 63372 418 1 The the DT 63372 418 2 visitor visitor NN 63372 418 3 shivers shiver VBZ 63372 418 4 with with IN 63372 418 5 horror horror NN 63372 418 6 and and CC 63372 418 7 asks ask VBZ 63372 418 8 his -PRON- PRP$ 63372 418 9 host host NN 63372 418 10 for for IN 63372 418 11 an an DT 63372 418 12 explanation explanation NN 63372 418 13 . . . 63372 419 1 He -PRON- PRP 63372 419 2 is be VBZ 63372 419 3 then then RB 63372 419 4 told tell VBN 63372 419 5 that that IN 63372 419 6 the the DT 63372 419 7 ideas idea NNS 63372 419 8 " " `` 63372 419 9 order order NN 63372 419 10 " " '' 63372 419 11 and and CC 63372 419 12 " " `` 63372 419 13 regularity regularity NN 63372 419 14 " " '' 63372 419 15 are be VBP 63372 419 16 at at IN 63372 419 17 work work NN 63372 419 18 , , , 63372 419 19 and and CC 63372 419 20 that that IN 63372 419 21 it -PRON- PRP 63372 419 22 is be VBZ 63372 419 23 they -PRON- PRP 63372 419 24 who who WP 63372 419 25 acquit acquit VBP 63372 419 26 themselves -PRON- PRP 63372 419 27 so so RB 63372 419 28 well well RB 63372 419 29 of of IN 63372 419 30 their -PRON- PRP$ 63372 419 31 tasks task NNS 63372 419 32 . . . 63372 420 1 These these DT 63372 420 2 ideas idea NNS 63372 420 3 can can MD 63372 420 4 not not RB 63372 420 5 be be VB 63372 420 6 seen see VBN 63372 420 7 nor nor CC 63372 420 8 felt feel VBN 63372 420 9 nor nor CC 63372 420 10 seized seize VBN 63372 420 11 nor nor CC 63372 420 12 weighed weigh VBN 63372 420 13 ; ; : 63372 420 14 they -PRON- PRP 63372 420 15 reveal reveal VBP 63372 420 16 their -PRON- PRP$ 63372 420 17 existence existence NN 63372 420 18 only only RB 63372 420 19 by by IN 63372 420 20 their -PRON- PRP$ 63372 420 21 thoughtful thoughtful JJ 63372 420 22 care care NN 63372 420 23 for for IN 63372 420 24 the the DT 63372 420 25 welfare welfare NN 63372 420 26 of of IN 63372 420 27 mankind mankind NN 63372 420 28 . . . 63372 421 1 I -PRON- PRP 63372 421 2 think think VBP 63372 421 3 the the DT 63372 421 4 guest guest NN 63372 421 5 , , , 63372 421 6 coming come VBG 63372 421 7 home home RB 63372 421 8 , , , 63372 421 9 will will MD 63372 421 10 relate relate VB 63372 421 11 that that IN 63372 421 12 his -PRON- PRP$ 63372 421 13 friend friend NN 63372 421 14 's 's POS 63372 421 15 house house NN 63372 421 16 is be VBZ 63372 421 17 haunted haunt VBN 63372 421 18 . . . 63372 422 1 The the DT 63372 422 2 ghosts ghost NNS 63372 422 3 may may MD 63372 422 4 be be VB 63372 422 5 kind kind JJ 63372 422 6 , , , 63372 422 7 benevolent benevolent JJ 63372 422 8 , , , 63372 422 9 even even RB 63372 422 10 useful useful JJ 63372 422 11 ; ; : 63372 422 12 yet yet CC 63372 422 13 ghosts ghost NNS 63372 422 14 they -PRON- PRP 63372 422 15 are be VBP 63372 422 16 . . . 63372 423 1 Now now RB 63372 423 2 in in IN 63372 423 3 Newtonian newtonian JJ 63372 423 4 mechanics mechanic NNS 63372 423 5 , , , 63372 423 6 absolute absolute JJ 63372 423 7 space space NN 63372 423 8 and and CC 63372 423 9 absolute absolute JJ 63372 423 10 time time NN 63372 423 11 and and CC 63372 423 12 force force NN 63372 423 13 and and CC 63372 423 14 inertia inertia NN 63372 423 15 and and CC 63372 423 16 all all PDT 63372 423 17 the the DT 63372 423 18 other other JJ 63372 423 19 apparatus apparatus NN 63372 423 20 , , , 63372 423 21 altogether altogether RB 63372 423 22 imperceptible imperceptible JJ 63372 423 23 , , , 63372 423 24 appearing appear VBG 63372 423 25 only only RB 63372 423 26 at at IN 63372 423 27 the the DT 63372 423 28 proper proper JJ 63372 423 29 time time NN 63372 423 30 to to TO 63372 423 31 make make VB 63372 423 32 possible possible JJ 63372 423 33 a a DT 63372 423 34 proper proper JJ 63372 423 35 building building NN 63372 423 36 up up IN 63372 423 37 of of IN 63372 423 38 the the DT 63372 423 39 theory theory NN 63372 423 40 , , , 63372 423 41 play play VB 63372 423 42 the the DT 63372 423 43 same same JJ 63372 423 44 mysterious mysterious JJ 63372 423 45 part part NN 63372 423 46 as as IN 63372 423 47 the the DT 63372 423 48 ideas idea NNS 63372 423 49 " " `` 63372 423 50 order order NN 63372 423 51 " " '' 63372 423 52 and and CC 63372 423 53 " " `` 63372 423 54 regularity regularity NN 63372 423 55 " " '' 63372 423 56 in in IN 63372 423 57 my -PRON- PRP$ 63372 423 58 story story NN 63372 423 59 . . . 63372 424 1 Classical classical JJ 63372 424 2 mechanics mechanic NNS 63372 424 3 is be VBZ 63372 424 4 haunted haunt VBN 63372 424 5 . . . 63372 425 1 ] ] -RRB- 63372 425 2 116 116 CD 63372 425 3 [ [ -LRB- 63372 425 4 As as IN 63372 425 5 a a DT 63372 425 6 matter matter NN 63372 425 7 of of IN 63372 425 8 fact fact NN 63372 425 9 , , , 63372 425 10 we -PRON- PRP 63372 425 11 realize realize VBP 63372 425 12 this this DT 63372 425 13 and and CC 63372 425 14 do do VBP 63372 425 15 not not RB 63372 425 16 allow allow VB 63372 425 17 ourselves -PRON- PRP 63372 425 18 to to TO 63372 425 19 be be VB 63372 425 20 imposed impose VBN 63372 425 21 upon upon IN 63372 425 22 with with IN 63372 425 23 regard regard NN 63372 425 24 to to IN 63372 425 25 the the DT 63372 425 26 true true JJ 63372 425 27 nature nature NN 63372 425 28 of of IN 63372 425 29 these these DT 63372 425 30 agencies agency NNS 63372 425 31 . . . 63372 426 1 ] ] -RRB- 63372 426 2 * * NFP 63372 426 3 [ [ -LRB- 63372 426 4 We -PRON- PRP 63372 426 5 use use VBP 63372 426 6 a a DT 63372 426 7 mechanistic mechanistic JJ 63372 426 8 terminology terminology NN 63372 426 9 and and CC 63372 426 10 a a DT 63372 426 11 mechanistic mechanistic JJ 63372 426 12 mode mode NN 63372 426 13 of of IN 63372 426 14 reasoning reason VBG 63372 426 15 only only RB 63372 426 16 because because IN 63372 426 17 we -PRON- PRP 63372 426 18 have have VBP 63372 426 19 found find VBN 63372 426 20 by by IN 63372 426 21 experience experience NN 63372 426 22 that that IN 63372 426 23 they -PRON- PRP 63372 426 24 facilitate facilitate VBP 63372 426 25 our -PRON- PRP$ 63372 426 26 reasoning reasoning NN 63372 426 27 . . . 63372 427 1 They -PRON- PRP 63372 427 2 are be VBP 63372 427 3 the the DT 63372 427 4 tools tool NNS 63372 427 5 which which WDT 63372 427 6 we -PRON- PRP 63372 427 7 find find VBP 63372 427 8 produce produce NN 63372 427 9 results result NNS 63372 427 10 . . . 63372 428 1 They -PRON- PRP 63372 428 2 are be VBP 63372 428 3 adapted adapt VBN 63372 428 4 to to IN 63372 428 5 our -PRON- PRP$ 63372 428 6 minds mind NNS 63372 428 7 , , , 63372 428 8 but but CC 63372 428 9 perhaps perhaps RB 63372 428 10 it -PRON- PRP 63372 428 11 would would MD 63372 428 12 be be VB 63372 428 13 better well JJR 63372 428 14 to to TO 63372 428 15 say say VB 63372 428 16 that that IN 63372 428 17 our -PRON- PRP$ 63372 428 18 minds mind NNS 63372 428 19 are be VBP 63372 428 20 so so RB 63372 428 21 constructed construct VBN 63372 428 22 as as IN 63372 428 23 to to TO 63372 428 24 render render VB 63372 428 25 our -PRON- PRP$ 63372 428 26 conceptual conceptual JJ 63372 428 27 universe universe NN 63372 428 28 necessarily necessarily RB 63372 428 29 mechanical mechanical JJ 63372 428 30 in in IN 63372 428 31 its -PRON- PRP$ 63372 428 32 aspect aspect NN 63372 428 33 in in IN 63372 428 34 order order NN 63372 428 35 that that IN 63372 428 36 our -PRON- PRP$ 63372 428 37 minds mind NNS 63372 428 38 may may MD 63372 428 39 reason reason VB 63372 428 40 at at RB 63372 428 41 all all RB 63372 428 42 . . . 63372 429 1 Two two CD 63372 429 2 things thing NNS 63372 429 3 antithetic antithetic JJ 63372 429 4 are be VBP 63372 429 5 involved involve VBN 63372 429 6 -- -- : 63372 429 7 subject subject JJ 63372 429 8 ( ( -LRB- 63372 429 9 our -PRON- PRP$ 63372 429 10 perceiving perceiving NN 63372 429 11 mind mind NN 63372 429 12 which which WDT 63372 429 13 builds build VBZ 63372 429 14 up up RP 63372 429 15 concepts concept NNS 63372 429 16 ) ) -RRB- 63372 429 17 and and CC 63372 429 18 object object NN 63372 429 19 ( ( -LRB- 63372 429 20 the the DT 63372 429 21 external external JJ 63372 429 22 reality reality NN 63372 429 23 ) ) -RRB- 63372 429 24 ; ; : 63372 429 25 and and CC 63372 429 26 having have VBG 63372 429 27 neither neither CC 63372 429 28 complete complete JJ 63372 429 29 nor nor CC 63372 429 30 absolute absolute JJ 63372 429 31 knowledge knowledge NN 63372 429 32 of of IN 63372 429 33 either either DT 63372 429 34 , , , 63372 429 35 we -PRON- PRP 63372 429 36 can can MD 63372 429 37 not not RB 63372 429 38 affirm affirm VB 63372 429 39 which which WDT 63372 429 40 is be VBZ 63372 429 41 more more RBR 63372 429 42 truly truly RB 63372 429 43 to to TO 63372 429 44 be be VB 63372 429 45 said say VBN 63372 429 46 to to TO 63372 429 47 be be VB 63372 429 48 mechanistic mechanistic JJ 63372 429 49 in in IN 63372 429 50 its -PRON- PRP$ 63372 429 51 nature nature NN 63372 429 52 , , , 63372 429 53 though though IN 63372 429 54 we -PRON- PRP 63372 429 55 may may MD 63372 429 56 suspect suspect VB 63372 429 57 that that IN 63372 429 58 really really RB 63372 429 59 neither neither CC 63372 429 60 is be VBZ 63372 429 61 . . . 63372 430 1 We -PRON- PRP 63372 430 2 no no RB 63372 430 3 longer longer RB 63372 430 4 think think VBP 63372 430 5 of of IN 63372 430 6 cause cause NN 63372 430 7 and and CC 63372 430 8 effect effect NN 63372 430 9 as as IN 63372 430 10 dictated dictate VBN 63372 430 11 by by IN 63372 430 12 inherent inherent JJ 63372 430 13 necessity necessity NN 63372 430 14 , , , 63372 430 15 we -PRON- PRP 63372 430 16 simply simply RB 63372 430 17 regard regard VBP 63372 430 18 them -PRON- PRP 63372 430 19 as as IN 63372 430 20 sequences sequence NNS 63372 430 21 in in IN 63372 430 22 the the DT 63372 430 23 routine routine NN 63372 430 24 of of IN 63372 430 25 our -PRON- PRP$ 63372 430 26 sense sense NN 63372 430 27 - - HYPH 63372 430 28 impressions impression NNS 63372 430 29 of of IN 63372 430 30 phenomena phenomenon NNS 63372 430 31 . . . 63372 431 1 In in IN 63372 431 2 a a DT 63372 431 3 word word NN 63372 431 4 , , , 63372 431 5 we -PRON- PRP 63372 431 6 have have VBP 63372 431 7 at at IN 63372 431 8 length length NN 63372 431 9 grasped grasp VBD 63372 431 10 the the DT 63372 431 11 idea idea NN 63372 431 12 that that IN 63372 431 13 our -PRON- PRP$ 63372 431 14 notions notion NNS 63372 431 15 of of IN 63372 431 16 reality reality NN 63372 431 17 , , , 63372 431 18 at at IN 63372 431 19 present present JJ 63372 431 20 at at RB 63372 431 21 least least JJS 63372 431 22 , , , 63372 431 23 whatever whatever WDT 63372 431 24 they -PRON- PRP 63372 431 25 may may MD 63372 431 26 become become VB 63372 431 27 ultimately ultimately RB 63372 431 28 , , , 63372 431 29 are be VBP 63372 431 30 not not RB 63372 431 31 absolute absolute JJ 63372 431 32 , , , 63372 431 33 but but CC 63372 431 34 simply simply RB 63372 431 35 relative relative JJ 63372 431 36 . . . 63372 432 1 We -PRON- PRP 63372 432 2 see see VBP 63372 432 3 , , , 63372 432 4 too too RB 63372 432 5 , , , 63372 432 6 that that IN 63372 432 7 we -PRON- PRP 63372 432 8 do do VBP 63372 432 9 not not RB 63372 432 10 explain explain VB 63372 432 11 the the DT 63372 432 12 universe universe NN 63372 432 13 , , , 63372 432 14 but but CC 63372 432 15 only only RB 63372 432 16 describe describe VBP 63372 432 17 our -PRON- PRP$ 63372 432 18 perceptions perception NNS 63372 432 19 of of IN 63372 432 20 its -PRON- PRP$ 63372 432 21 contents content NNS 63372 432 22 . . . 63372 433 1 The the DT 63372 433 2 so so RB 63372 433 3 - - HYPH 63372 433 4 called call VBN 63372 433 5 laws law NNS 63372 433 6 of of IN 63372 433 7 nature nature NN 63372 433 8 are be VBP 63372 433 9 simply simply RB 63372 433 10 statements statement NNS 63372 433 11 of of IN 63372 433 12 formulà formulà NNP 63372 433 13 ¦ ¦ XX 63372 433 14 which which WDT 63372 433 15 resume resume VBP 63372 433 16 or or CC 63372 433 17 sum sum VB 63372 433 18 up up RP 63372 433 19 the the DT 63372 433 20 relationships relationship NNS 63372 433 21 and and CC 63372 433 22 sequences sequence NNS 63372 433 23 of of IN 63372 433 24 phenomena phenomenon NNS 63372 433 25 . . . 63372 434 1 Our -PRON- PRP$ 63372 434 2 effort effort NN 63372 434 3 is be VBZ 63372 434 4 constantly constantly RB 63372 434 5 to to TO 63372 434 6 find find VB 63372 434 7 formulà formulà NNP 63372 434 8 ¦ ¦ XX 63372 434 9 which which WDT 63372 434 10 will will MD 63372 434 11 describe describe VB 63372 434 12 the the DT 63372 434 13 widest wide JJS 63372 434 14 possible possible JJ 63372 434 15 range range NN 63372 434 16 of of IN 63372 434 17 phenomena phenomenon NNS 63372 434 18 . . . 63372 435 1 As as IN 63372 435 2 our -PRON- PRP$ 63372 435 3 knowledge knowledge NN 63372 435 4 increases increase VBZ 63372 435 5 , , , 63372 435 6 that that RB 63372 435 7 is is RB 63372 435 8 , , , 63372 435 9 as as IN 63372 435 10 we -PRON- PRP 63372 435 11 perceive perceive VBP 63372 435 12 new new JJ 63372 435 13 phenomena phenomenon NNS 63372 435 14 , , , 63372 435 15 our -PRON- PRP$ 63372 435 16 laws law NNS 63372 435 17 or or CC 63372 435 18 formulà formulà NNP 63372 435 19 ¦ ¦ : 63372 435 20 break break VB 63372 435 21 down down RP 63372 435 22 , , , 63372 435 23 that that RB 63372 435 24 is is RB 63372 435 25 , , , 63372 435 26 they -PRON- PRP 63372 435 27 fail fail VBP 63372 435 28 to to TO 63372 435 29 afford afford VB 63372 435 30 a a DT 63372 435 31 description description NN 63372 435 32 in in IN 63372 435 33 brief brief JJ 63372 435 34 terms term NNS 63372 435 35 of of IN 63372 435 36 all all DT 63372 435 37 of of IN 63372 435 38 our -PRON- PRP$ 63372 435 39 perceptions perception NNS 63372 435 40 . . . 63372 436 1 It -PRON- PRP 63372 436 2 is be VBZ 63372 436 3 not not RB 63372 436 4 that that IN 63372 436 5 the the DT 63372 436 6 old old JJ 63372 436 7 laws law NNS 63372 436 8 are be VBP 63372 436 9 untrue untrue JJ 63372 436 10 , , , 63372 436 11 but but CC 63372 436 12 simply simply RB 63372 436 13 that that IN 63372 436 14 they -PRON- PRP 63372 436 15 are be VBP 63372 436 16 not not RB 63372 436 17 comprehensive comprehensive JJ 63372 436 18 enough enough RB 63372 436 19 to to TO 63372 436 20 include include VB 63372 436 21 all all DT 63372 436 22 of of IN 63372 436 23 our -PRON- PRP$ 63372 436 24 perceptions perception NNS 63372 436 25 . . . 63372 437 1 The the DT 63372 437 2 old old JJ 63372 437 3 laws law NNS 63372 437 4 are be VBP 63372 437 5 often often RB 63372 437 6 particular particular JJ 63372 437 7 or or CC 63372 437 8 limiting limit VBG 63372 437 9 instances instance NNS 63372 437 10 of of IN 63372 437 11 the the DT 63372 437 12 new new JJ 63372 437 13 laws law NNS 63372 437 14 . . . 63372 438 1 ] ] -RRB- 63372 438 2 283 283 CD 63372 438 3 [ [ -LRB- 63372 438 4 From from IN 63372 438 5 what what WP 63372 438 6 we -PRON- PRP 63372 438 7 have have VBP 63372 438 8 said say VBD 63372 438 9 of of IN 63372 438 10 the the DT 63372 438 11 reality reality NN 63372 438 12 of of IN 63372 438 13 observations observation NNS 63372 438 14 it -PRON- PRP 63372 438 15 follows follow VBZ 63372 438 16 that that IN 63372 438 17 we -PRON- PRP 63372 438 18 must must MD 63372 438 19 support support VB 63372 438 20 that that DT 63372 438 21 school school NN 63372 438 22 of of IN 63372 438 23 psychology psychology NN 63372 438 24 , , , 63372 438 25 and and CC 63372 438 26 the the DT 63372 438 27 parallel parallel JJ 63372 438 28 school school NN 63372 438 29 of of IN 63372 438 30 philosophy philosophy NN 63372 438 31 , , , 63372 438 32 which which WDT 63372 438 33 hold hold VBP 63372 438 34 that that IN 63372 438 35 concepts concept NNS 63372 438 36 originate originate VBP 63372 438 37 in in IN 63372 438 38 perceptions perception NNS 63372 438 39 . . . 63372 439 1 But but CC 63372 439 2 this this DT 63372 439 3 does do VBZ 63372 439 4 not not RB 63372 439 5 impose impose VB 63372 439 6 so so RB 63372 439 7 strong strong JJ 63372 439 8 a a DT 63372 439 9 restriction restriction NN 63372 439 10 upon upon IN 63372 439 11 conceptions conception NNS 63372 439 12 as as IN 63372 439 13 might may MD 63372 439 14 appear appear VB 63372 439 15 . . . 63372 440 1 The the DT 63372 440 2 elements element NNS 63372 440 3 of of IN 63372 440 4 all all PDT 63372 440 5 our -PRON- PRP$ 63372 440 6 concepts concept NNS 63372 440 7 do do VBP 63372 440 8 come come VB 63372 440 9 to to IN 63372 440 10 us -PRON- PRP 63372 440 11 from from IN 63372 440 12 outside outside RB 63372 440 13 ; ; : 63372 440 14 we -PRON- PRP 63372 440 15 manufacture manufacture VBP 63372 440 16 nothing nothing NN 63372 440 17 out out IN 63372 440 18 of of IN 63372 440 19 whole whole JJ 63372 440 20 cloth cloth NN 63372 440 21 . . . 63372 441 1 But but CC 63372 441 2 when when WRB 63372 441 3 perception perception NN 63372 441 4 has have VBZ 63372 441 5 supplied supply VBN 63372 441 6 a a DT 63372 441 7 sufficient sufficient JJ 63372 441 8 volume volume NN 63372 441 9 of of IN 63372 441 10 raw raw JJ 63372 441 11 material material NN 63372 441 12 , , , 63372 441 13 we -PRON- PRP 63372 441 14 may may MD 63372 441 15 group group VB 63372 441 16 its -PRON- PRP$ 63372 441 17 elements element NNS 63372 441 18 in in IN 63372 441 19 ways way NNS 63372 441 20 foreign foreign JJ 63372 441 21 to to IN 63372 441 22 actual actual JJ 63372 441 23 occurrence occurrence NN 63372 441 24 in in IN 63372 441 25 the the DT 63372 441 26 perceptual perceptual JJ 63372 441 27 world world NN 63372 441 28 , , , 63372 441 29 and and CC 63372 441 30 in in IN 63372 441 31 so so RB 63372 441 32 doing do VBG 63372 441 33 get get VB 63372 441 34 conceptual conceptual JJ 63372 441 35 results result NNS 63372 441 36 so so RB 63372 441 37 entirely entirely RB 63372 441 38 different different JJ 63372 441 39 from from IN 63372 441 40 what what WP 63372 441 41 we -PRON- PRP 63372 441 42 have have VBP 63372 441 43 consciously consciously RB 63372 441 44 perceived perceive VBN 63372 441 45 that that IN 63372 441 46 we -PRON- PRP 63372 441 47 are be VBP 63372 441 48 strongly strongly RB 63372 441 49 tempted tempt VBN 63372 441 50 to to TO 63372 441 51 look look VB 63372 441 52 upon upon IN 63372 441 53 them -PRON- PRP 63372 441 54 as as IN 63372 441 55 having have VBG 63372 441 56 certainly certainly RB 63372 441 57 been be VBN 63372 441 58 manufactured manufacture VBN 63372 441 59 in in IN 63372 441 60 our -PRON- PRP$ 63372 441 61 minds mind NNS 63372 441 62 without without IN 63372 441 63 reference reference NN 63372 441 64 to to IN 63372 441 65 the the DT 63372 441 66 externals external NNS 63372 441 67 . . . 63372 442 1 Of of IN 63372 442 2 even even RB 63372 442 3 more more JJR 63372 442 4 significance significance NN 63372 442 5 is be VBZ 63372 442 6 our -PRON- PRP$ 63372 442 7 ability ability NN 63372 442 8 to to TO 63372 442 9 abstract abstract VB 63372 442 10 from from IN 63372 442 11 concrete concrete JJ 63372 442 12 objects object NNS 63372 442 13 and and CC 63372 442 14 concrete concrete JJ 63372 442 15 incidents incident NNS 63372 442 16 the the DT 63372 442 17 essential essential JJ 63372 442 18 features feature NNS 63372 442 19 which which WDT 63372 442 20 make make VBP 63372 442 21 them -PRON- PRP 63372 442 22 alike alike RB 63372 442 23 and and CC 63372 442 24 different different JJ 63372 442 25 . . . 63372 443 1 But but CC 63372 443 2 unlike unlike IN 63372 443 3 the the DT 63372 443 4 Greeks Greeks NNPS 63372 443 5 , , , 63372 443 6 we -PRON- PRP 63372 443 7 see see VBP 63372 443 8 that that IN 63372 443 9 our -PRON- PRP$ 63372 443 10 concept concept NN 63372 443 11 of of IN 63372 443 12 coldness coldness NN 63372 443 13 is be VBZ 63372 443 14 not not RB 63372 443 15 something something NN 63372 443 16 with with IN 63372 443 17 which which WDT 63372 443 18 we -PRON- PRP 63372 443 19 were be VBD 63372 443 20 endowed endow VBN 63372 443 21 from from IN 63372 443 22 the the DT 63372 443 23 beginning beginning NN 63372 443 24 , , , 63372 443 25 but but CC 63372 443 26 merely merely RB 63372 443 27 an an DT 63372 443 28 abstraction abstraction NN 63372 443 29 from from IN 63372 443 30 concrete concrete JJ 63372 443 31 experiences experience NNS 63372 443 32 with with IN 63372 443 33 concrete concrete JJ 63372 443 34 objects object NNS 63372 443 35 that that WDT 63372 443 36 have have VBP 63372 443 37 been be VBN 63372 443 38 cold cold JJ 63372 443 39 . . . 63372 444 1 THE the DT 63372 444 2 CONCEPTS concept NNS 63372 444 3 OF of IN 63372 444 4 SPACE space NN 63372 444 5 AND and CC 63372 444 6 TIME time NN 63372 444 7 When when WRB 63372 444 8 we -PRON- PRP 63372 444 9 have have VBP 63372 444 10 formed form VBN 63372 444 11 the the DT 63372 444 12 abstract abstract JJ 63372 444 13 ideas idea NNS 63372 444 14 of of IN 63372 444 15 coldness coldness NN 63372 444 16 and and CC 63372 444 17 warmth warmth NN 63372 444 18 , , , 63372 444 19 and and CC 63372 444 20 have have VBP 63372 444 21 had have VBN 63372 444 22 experience experience NN 63372 444 23 indicating indicate VBG 63372 444 24 that that IN 63372 444 25 the the DT 63372 444 26 occurrence occurrence NN 63372 444 27 of of IN 63372 444 28 these these DT 63372 444 29 properties property NNS 63372 444 30 varies vary VBZ 63372 444 31 in in IN 63372 444 32 degree degree NN 63372 444 33 , , , 63372 444 34 we -PRON- PRP 63372 444 35 are be VBP 63372 444 36 in in IN 63372 444 37 a a DT 63372 444 38 position position NN 63372 444 39 to to TO 63372 444 40 form form VB 63372 444 41 the the DT 63372 444 42 secondary secondary JJ 63372 444 43 abstract abstract JJ 63372 444 44 notion notion NN 63372 444 45 covered cover VBN 63372 444 46 by by IN 63372 444 47 the the DT 63372 444 48 word word NN 63372 444 49 " " `` 63372 444 50 temperature temperature NN 63372 444 51 . . . 63372 444 52 " " '' 63372 445 1 When when WRB 63372 445 2 we -PRON- PRP 63372 445 3 have have VBP 63372 445 4 formed form VBN 63372 445 5 the the DT 63372 445 6 abstract abstract JJ 63372 445 7 ideas idea NNS 63372 445 8 of of IN 63372 445 9 size size NN 63372 445 10 and and CC 63372 445 11 position position NN 63372 445 12 and and CC 63372 445 13 separation separation NN 63372 445 14 , , , 63372 445 15 we -PRON- PRP 63372 445 16 are be VBP 63372 445 17 similarly similarly RB 63372 445 18 in in IN 63372 445 19 a a DT 63372 445 20 position position NN 63372 445 21 to to TO 63372 445 22 form form VB 63372 445 23 a a DT 63372 445 24 secondary secondary JJ 63372 445 25 abstraction abstraction NN 63372 445 26 to to TO 63372 445 27 which which WDT 63372 445 28 we -PRON- PRP 63372 445 29 give give VBP 63372 445 30 the the DT 63372 445 31 name name NN 63372 445 32 " " `` 63372 445 33 space space NN 63372 445 34 . . . 63372 445 35 " " '' 63372 446 1 Not not RB 63372 446 2 quite quite RB 63372 446 3 so so RB 63372 446 4 easy easy JJ 63372 446 5 to to TO 63372 446 6 trace trace VB 63372 446 7 to to IN 63372 446 8 its -PRON- PRP$ 63372 446 9 definite definite JJ 63372 446 10 source source NN 63372 446 11 but but CC 63372 446 12 none none NN 63372 446 13 the the DT 63372 446 14 less less RBR 63372 446 15 clearly clearly RB 63372 446 16 an an DT 63372 446 17 abstraction abstraction NN 63372 446 18 based base VBN 63372 446 19 on on IN 63372 446 20 experience experience NN 63372 446 21 , , , 63372 446 22 is be VBZ 63372 446 23 our -PRON- PRP$ 63372 446 24 idea idea NN 63372 446 25 of of IN 63372 446 26 what what WP 63372 446 27 we -PRON- PRP 63372 446 28 call call VBP 63372 446 29 " " '' 63372 446 30 time time NN 63372 446 31 . . . 63372 446 32 " " '' 63372 447 1 None none NN 63372 447 2 of of IN 63372 447 3 us -PRON- PRP 63372 447 4 are be VBP 63372 447 5 deceived deceive VBN 63372 447 6 as as IN 63372 447 7 to to IN 63372 447 8 the the DT 63372 447 9 reality reality NN 63372 447 10 of of IN 63372 447 11 these these DT 63372 447 12 abstractions abstraction NNS 63372 447 13 . . . 63372 448 1 ] ] -RRB- 63372 448 2 * * NFP 63372 448 3 [ [ -LRB- 63372 448 4 We -PRON- PRP 63372 448 5 do do VBP 63372 448 6 not not RB 63372 448 7 regard regard VB 63372 448 8 space space NN 63372 448 9 as as IN 63372 448 10 real real JJ 63372 448 11 in in IN 63372 448 12 the the DT 63372 448 13 sense sense NN 63372 448 14 that that IN 63372 448 15 we -PRON- PRP 63372 448 16 regard regard VBP 63372 448 17 a a DT 63372 448 18 chair chair NN 63372 448 19 as as IN 63372 448 20 real real JJ 63372 448 21 ; ; : 63372 448 22 it -PRON- PRP 63372 448 23 is be VBZ 63372 448 24 merely merely RB 63372 448 25 an an DT 63372 448 26 abstract abstract JJ 63372 448 27 idea idea NN 63372 448 28 convenient convenient JJ 63372 448 29 for for IN 63372 448 30 the the DT 63372 448 31 location location NN 63372 448 32 of of IN 63372 448 33 material material NN 63372 448 34 objects object NNS 63372 448 35 like like IN 63372 448 36 the the DT 63372 448 37 chair chair NN 63372 448 38 . . . 63372 449 1 ] ] -RRB- 63372 449 2 198 198 CD 63372 449 3 [ [ -LRB- 63372 449 4 Nor nor CC 63372 449 5 do do VBP 63372 449 6 we -PRON- PRP 63372 449 7 regard regard VB 63372 449 8 time time NN 63372 449 9 as as IN 63372 449 10 real real JJ 63372 449 11 in in IN 63372 449 12 this this DT 63372 449 13 sense sense NN 63372 449 14 . . . 63372 450 1 Things thing NNS 63372 450 2 occupy occupy VBP 63372 450 3 space space NN 63372 450 4 , , , 63372 450 5 events event NNS 63372 450 6 occupy occupy VBP 63372 450 7 time time NN 63372 450 8 ; ; : 63372 450 9 space space NN 63372 450 10 and and CC 63372 450 11 time time NN 63372 450 12 themselves -PRON- PRP 63372 450 13 we -PRON- PRP 63372 450 14 realize realize VBP 63372 450 15 are be VBP 63372 450 16 immaterial immaterial JJ 63372 450 17 and and CC 63372 450 18 unreal unreal JJ 63372 450 19 ; ; : 63372 450 20 space space NN 63372 450 21 does do VBZ 63372 450 22 not not RB 63372 450 23 exist exist VB 63372 450 24 and and CC 63372 450 25 time time NN 63372 450 26 does do VBZ 63372 450 27 not not RB 63372 450 28 happen happen VB 63372 450 29 in in IN 63372 450 30 the the DT 63372 450 31 same same JJ 63372 450 32 sense sense NN 63372 450 33 that that IN 63372 450 34 material material NN 63372 450 35 objects object NNS 63372 450 36 exist exist VBP 63372 450 37 and and CC 63372 450 38 events event NNS 63372 450 39 occur occur VBP 63372 450 40 . . . 63372 451 1 But but CC 63372 451 2 we -PRON- PRP 63372 451 3 find find VBP 63372 451 4 it -PRON- PRP 63372 451 5 absolutely absolutely RB 63372 451 6 necessary necessary JJ 63372 451 7 to to TO 63372 451 8 have have VB 63372 451 9 , , , 63372 451 10 among among IN 63372 451 11 the the DT 63372 451 12 mental mental JJ 63372 451 13 machinery machinery NN 63372 451 14 mentioned mention VBN 63372 451 15 above above RB 63372 451 16 as as IN 63372 451 17 the the DT 63372 451 18 apparatus apparatus NN 63372 451 19 by by IN 63372 451 20 aid aid NN 63372 451 21 of of IN 63372 451 22 which which WDT 63372 451 23 we -PRON- PRP 63372 451 24 keep keep VBP 63372 451 25 track track NN 63372 451 26 of of IN 63372 451 27 the the DT 63372 451 28 external external JJ 63372 451 29 world world NN 63372 451 30 , , , 63372 451 31 these these DT 63372 451 32 vessels vessel NNS 63372 451 33 for for IN 63372 451 34 that that DT 63372 451 35 world world NN 63372 451 36 to to TO 63372 451 37 exist exist VB 63372 451 38 in in IN 63372 451 39 and and CC 63372 451 40 move move VB 63372 451 41 in in RB 63372 451 42 . . . 63372 452 1 Space space NN 63372 452 2 and and CC 63372 452 3 time time NN 63372 452 4 , , , 63372 452 5 then then RB 63372 452 6 , , , 63372 452 7 are be VBP 63372 452 8 concepts concept NNS 63372 452 9 . . . 63372 453 1 ] ] -RRB- 63372 453 2 * * NFP 63372 453 3 [ [ -LRB- 63372 453 4 It -PRON- PRP 63372 453 5 is be VBZ 63372 453 6 not not RB 63372 453 7 strange strange JJ 63372 453 8 , , , 63372 453 9 however however RB 63372 453 10 , , , 63372 453 11 that that IN 63372 453 12 when when WRB 63372 453 13 confronted confront VBN 63372 453 14 with with IN 63372 453 15 the the DT 63372 453 16 vast vast JJ 63372 453 17 and and CC 63372 453 18 bewildering bewildering JJ 63372 453 19 complexity complexity NN 63372 453 20 of of IN 63372 453 21 the the DT 63372 453 22 universe universe NN 63372 453 23 and and CC 63372 453 24 the the DT 63372 453 25 difficulty difficulty NN 63372 453 26 of of IN 63372 453 27 keeping keep VBG 63372 453 28 separate separate JJ 63372 453 29 and and CC 63372 453 30 distinct distinct JJ 63372 453 31 in in IN 63372 453 32 our -PRON- PRP$ 63372 453 33 minds mind NNS 63372 453 34 our -PRON- PRP$ 63372 453 35 perceptions perception NNS 63372 453 36 and and CC 63372 453 37 conceptions conception NNS 63372 453 38 , , , 63372 453 39 we -PRON- PRP 63372 453 40 should should MD 63372 453 41 at at IN 63372 453 42 times time NNS 63372 453 43 and and CC 63372 453 44 as as IN 63372 453 45 respects respect VBZ 63372 453 46 certain certain JJ 63372 453 47 things thing NNS 63372 453 48 project project VBP 63372 453 49 our -PRON- PRP$ 63372 453 50 conceptions conception NNS 63372 453 51 illegitimately illegitimately RB 63372 453 52 into into IN 63372 453 53 the the DT 63372 453 54 perpetual perpetual JJ 63372 453 55 universe universe NN 63372 453 56 and and CC 63372 453 57 mistake mistake VB 63372 453 58 them -PRON- PRP 63372 453 59 for for IN 63372 453 60 perceptions perception NNS 63372 453 61 . . . 63372 454 1 The the DT 63372 454 2 most most RBS 63372 454 3 notable notable JJ 63372 454 4 example example NN 63372 454 5 perhaps perhaps RB 63372 454 6 of of IN 63372 454 7 this this DT 63372 454 8 projection projection NN 63372 454 9 has have VBZ 63372 454 10 occurred occur VBN 63372 454 11 in in IN 63372 454 12 the the DT 63372 454 13 very very JJ 63372 454 14 case case NN 63372 454 15 of of IN 63372 454 16 space space NN 63372 454 17 and and CC 63372 454 18 time time NN 63372 454 19 , , , 63372 454 20 most most RBS 63372 454 21 fundamental fundamental JJ 63372 454 22 of of IN 63372 454 23 all all DT 63372 454 24 of of IN 63372 454 25 our -PRON- PRP$ 63372 454 26 concepts concept NNS 63372 454 27 . . . 63372 455 1 We -PRON- PRP 63372 455 2 got get VBD 63372 455 3 to to TO 63372 455 4 think think VB 63372 455 5 of of IN 63372 455 6 these these DT 63372 455 7 as as IN 63372 455 8 absolute absolute JJ 63372 455 9 , , , 63372 455 10 as as IN 63372 455 11 independent independent JJ 63372 455 12 of of IN 63372 455 13 each each DT 63372 455 14 other other JJ 63372 455 15 and and CC 63372 455 16 of of IN 63372 455 17 all all DT 63372 455 18 other other JJ 63372 455 19 things thing NNS 63372 455 20 , , , 63372 455 21 and and CC 63372 455 22 as as IN 63372 455 23 always always RB 63372 455 24 existing exist VBG 63372 455 25 and and CC 63372 455 26 continuing continue VBG 63372 455 27 to to TO 63372 455 28 exist exist VB 63372 455 29 whether whether IN 63372 455 30 or or CC 63372 455 31 not not RB 63372 455 32 we -PRON- PRP 63372 455 33 or or CC 63372 455 34 anything anything NN 63372 455 35 else else RB 63372 455 36 existed existed JJ 63372 455 37 -- -- : 63372 455 38 space space NN 63372 455 39 as as IN 63372 455 40 a a DT 63372 455 41 three three CD 63372 455 42 - - HYPH 63372 455 43 dimensional dimensional JJ 63372 455 44 , , , 63372 455 45 uniform uniform JJ 63372 455 46 continuum continuum NN 63372 455 47 , , , 63372 455 48 having have VBG 63372 455 49 the the DT 63372 455 50 same same JJ 63372 455 51 properties property NNS 63372 455 52 in in IN 63372 455 53 all all DT 63372 455 54 directions direction NNS 63372 455 55 ; ; : 63372 455 56 time time NN 63372 455 57 as as IN 63372 455 58 a a DT 63372 455 59 one one CD 63372 455 60 - - HYPH 63372 455 61 dimensional dimensional JJ 63372 455 62 , , , 63372 455 63 irreversible irreversible JJ 63372 455 64 continuum continuum NN 63372 455 65 , , , 63372 455 66 flowing flow VBG 63372 455 67 in in IN 63372 455 68 one one CD 63372 455 69 direction direction NN 63372 455 70 . . . 63372 456 1 It -PRON- PRP 63372 456 2 is be VBZ 63372 456 3 difficult difficult JJ 63372 456 4 to to TO 63372 456 5 get get VB 63372 456 6 back back RB 63372 456 7 to to IN 63372 456 8 the the DT 63372 456 9 idea idea NN 63372 456 10 that that IN 63372 456 11 space space NN 63372 456 12 and and CC 63372 456 13 time time NN 63372 456 14 so so RB 63372 456 15 described describe VBN 63372 456 16 and and CC 63372 456 17 defined define VBN 63372 456 18 are be VBP 63372 456 19 concepts concept NNS 63372 456 20 merely merely RB 63372 456 21 , , , 63372 456 22 for for IN 63372 456 23 the the DT 63372 456 24 idea idea NN 63372 456 25 of of IN 63372 456 26 their -PRON- PRP$ 63372 456 27 absolute absolute JJ 63372 456 28 existence existence NN 63372 456 29 is be VBZ 63372 456 30 ingrained ingrain VBN 63372 456 31 in in IN 63372 456 32 us -PRON- PRP 63372 456 33 as as IN 63372 456 34 the the DT 63372 456 35 result result NN 63372 456 36 probably probably RB 63372 456 37 of of IN 63372 456 38 long long JJ 63372 456 39 ancestral ancestral JJ 63372 456 40 experience experience NN 63372 456 41 . . . 63372 457 1 ] ] -RRB- 63372 457 2 283 283 CD 63372 457 3 [ [ -LRB- 63372 457 4 Newton Newton NNP 63372 457 5 's 's POS 63372 457 6 definitions definition NNS 63372 457 7 of of IN 63372 457 8 course course NN 63372 457 9 represent represent VBP 63372 457 10 the the DT 63372 457 11 classical classical JJ 63372 457 12 idea idea NN 63372 457 13 of of IN 63372 457 14 time time NN 63372 457 15 and and CC 63372 457 16 space space NN 63372 457 17 . . . 63372 458 1 He -PRON- PRP 63372 458 2 tells tell VBZ 63372 458 3 us -PRON- PRP 63372 458 4 that that IN 63372 458 5 " " `` 63372 458 6 absolute absolute JJ 63372 458 7 , , , 63372 458 8 true true JJ 63372 458 9 and and CC 63372 458 10 mathematical mathematical JJ 63372 458 11 time time NN 63372 458 12 flows flow VBZ 63372 458 13 in in IN 63372 458 14 virtue virtue NN 63372 458 15 of of IN 63372 458 16 its -PRON- PRP$ 63372 458 17 own own JJ 63372 458 18 nature nature NN 63372 458 19 , , , 63372 458 20 uniformly uniformly RB 63372 458 21 and and CC 63372 458 22 without without IN 63372 458 23 reference reference NN 63372 458 24 to to IN 63372 458 25 any any DT 63372 458 26 external external JJ 63372 458 27 object object NN 63372 458 28 ; ; : 63372 458 29 " " `` 63372 458 30 and and CC 63372 458 31 that that IN 63372 458 32 " " `` 63372 458 33 absolute absolute JJ 63372 458 34 space space NN 63372 458 35 , , , 63372 458 36 by by IN 63372 458 37 virtue virtue NN 63372 458 38 of of IN 63372 458 39 its -PRON- PRP$ 63372 458 40 own own JJ 63372 458 41 nature nature NN 63372 458 42 and and CC 63372 458 43 without without IN 63372 458 44 reference reference NN 63372 458 45 to to IN 63372 458 46 any any DT 63372 458 47 external external JJ 63372 458 48 object object NN 63372 458 49 , , , 63372 458 50 always always RB 63372 458 51 remains remain VBZ 63372 458 52 the the DT 63372 458 53 same same JJ 63372 458 54 and and CC 63372 458 55 is be VBZ 63372 458 56 immovable immovable JJ 63372 458 57 . . . 63372 458 58 " " '' 63372 459 1 Of of RB 63372 459 2 course course RB 63372 459 3 from from IN 63372 459 4 modern modern JJ 63372 459 5 standpoints standpoint NNS 63372 459 6 it -PRON- PRP 63372 459 7 is be VBZ 63372 459 8 absurd absurd JJ 63372 459 9 to to TO 63372 459 10 call call VB 63372 459 11 either either DT 63372 459 12 of of IN 63372 459 13 these these DT 63372 459 14 pronouncements pronouncement NNS 63372 459 15 a a DT 63372 459 16 definition definition NN 63372 459 17 ; ; : 63372 459 18 but but CC 63372 459 19 they -PRON- PRP 63372 459 20 represent represent VBP 63372 459 21 about about IN 63372 459 22 as as RB 63372 459 23 well well RB 63372 459 24 as as IN 63372 459 25 any any DT 63372 459 26 words word NNS 63372 459 27 can can MD 63372 459 28 the the DT 63372 459 29 ideas idea NNS 63372 459 30 which which WDT 63372 459 31 Newton Newton NNP 63372 459 32 had have VBD 63372 459 33 about about IN 63372 459 34 time time NN 63372 459 35 and and CC 63372 459 36 space space NN 63372 459 37 , , , 63372 459 38 and and CC 63372 459 39 they -PRON- PRP 63372 459 40 make make VBP 63372 459 41 it -PRON- PRP 63372 459 42 clear clear JJ 63372 459 43 enough enough RB 63372 459 44 that that IN 63372 459 45 he -PRON- PRP 63372 459 46 regarded regard VBD 63372 459 47 both both DT 63372 459 48 as as IN 63372 459 49 having have VBG 63372 459 50 real real JJ 63372 459 51 existence existence NN 63372 459 52 in in IN 63372 459 53 the the DT 63372 459 54 external external JJ 63372 459 55 world world NN 63372 459 56 . . . 63372 460 1 If if IN 63372 460 2 space space NN 63372 460 3 and and CC 63372 460 4 time time NN 63372 460 5 are be VBP 63372 460 6 to to TO 63372 460 7 be be VB 63372 460 8 the the DT 63372 460 9 vessels vessel NNS 63372 460 10 of of IN 63372 460 11 our -PRON- PRP$ 63372 460 12 universe universe NN 63372 460 13 , , , 63372 460 14 and and CC 63372 460 15 if if IN 63372 460 16 the the DT 63372 460 17 only only JJ 63372 460 18 thing thing NN 63372 460 19 that that WDT 63372 460 20 really really RB 63372 460 21 matters matter VBZ 63372 460 22 is be VBZ 63372 460 23 measured measure VBN 63372 460 24 results result NNS 63372 460 25 , , , 63372 460 26 it -PRON- PRP 63372 460 27 is be VBZ 63372 460 28 plain plain JJ 63372 460 29 enough enough RB 63372 460 30 that that IN 63372 460 31 we -PRON- PRP 63372 460 32 must must MD 63372 460 33 have have VB 63372 460 34 , , , 63372 460 35 from from IN 63372 460 36 the the DT 63372 460 37 very very JJ 63372 460 38 beginning beginning NN 63372 460 39 , , , 63372 460 40 means mean NNS 63372 460 41 of of IN 63372 460 42 measuring measure VBG 63372 460 43 space space NN 63372 460 44 and and CC 63372 460 45 time time NN 63372 460 46 . . . 63372 461 1 Whether whether IN 63372 461 2 we -PRON- PRP 63372 461 3 believe believe VBP 63372 461 4 space space NN 63372 461 5 and and CC 63372 461 6 time time NN 63372 461 7 to to TO 63372 461 8 have have VB 63372 461 9 real real JJ 63372 461 10 existence existence NN 63372 461 11 or or CC 63372 461 12 not not RB 63372 461 13 , , , 63372 461 14 it -PRON- PRP 63372 461 15 is be VBZ 63372 461 16 obvious obvious JJ 63372 461 17 that that IN 63372 461 18 we -PRON- PRP 63372 461 19 can can MD 63372 461 20 measure measure VB 63372 461 21 neither neither CC 63372 461 22 directly directly RB 63372 461 23 . . . 63372 462 1 We -PRON- PRP 63372 462 2 shall shall MD 63372 462 3 have have VB 63372 462 4 to to TO 63372 462 5 measure measure VB 63372 462 6 space space NN 63372 462 7 by by IN 63372 462 8 measuring measure VBG 63372 462 9 from from IN 63372 462 10 one one CD 63372 462 11 material material NN 63372 462 12 object object NN 63372 462 13 to to IN 63372 462 14 another another DT 63372 462 15 ; ; : 63372 462 16 we -PRON- PRP 63372 462 17 shall shall MD 63372 462 18 have have VB 63372 462 19 to to TO 63372 462 20 measure measure VB 63372 462 21 time time NN 63372 462 22 by by IN 63372 462 23 some some DT 63372 462 24 similar similar JJ 63372 462 25 convention convention NN 63372 462 26 based base VBN 63372 462 27 on on IN 63372 462 28 events event NNS 63372 462 29 . . . 63372 463 1 We -PRON- PRP 63372 463 2 shall shall MD 63372 463 3 later later RB 63372 463 4 have have VB 63372 463 5 something something NN 63372 463 6 further further JJ 63372 463 7 to to TO 63372 463 8 say say VB 63372 463 9 about about IN 63372 463 10 the the DT 63372 463 11 measurement measurement NN 63372 463 12 of of IN 63372 463 13 time time NN 63372 463 14 ; ; : 63372 463 15 for for IN 63372 463 16 the the DT 63372 463 17 present present NN 63372 463 18 we -PRON- PRP 63372 463 19 need need VBP 63372 463 20 only only RB 63372 463 21 point point VB 63372 463 22 out out RP 63372 463 23 that that IN 63372 463 24 ] ] -RRB- 63372 463 25 * * NFP 63372 463 26 [ [ -LRB- 63372 463 27 Newtonian newtonian JJ 63372 463 28 time time NN 63372 463 29 is be VBZ 63372 463 30 measured measure VBN 63372 463 31 independently independently RB 63372 463 32 of of IN 63372 463 33 space space NN 63372 463 34 ; ; : 63372 463 35 and and CC 63372 463 36 the the DT 63372 463 37 existence existence NN 63372 463 38 is be VBZ 63372 463 39 presupposed presuppose VBN 63372 463 40 of of IN 63372 463 41 a a DT 63372 463 42 suitable suitable JJ 63372 463 43 timekeeper timekeeper NN 63372 463 44 . . . 63372 464 1 ] ] -RRB- 63372 464 2 10 10 CD 63372 464 3 [ [ -LRB- 63372 464 4 The the DT 63372 464 5 space space NN 63372 464 6 of of IN 63372 464 7 Galileo Galileo NNP 63372 464 8 and and CC 63372 464 9 Newton Newton NNP 63372 464 10 was be VBD 63372 464 11 conceived conceive VBN 63372 464 12 of of IN 63372 464 13 as as RB 63372 464 14 empty empty JJ 63372 464 15 , , , 63372 464 16 except except IN 63372 464 17 in in IN 63372 464 18 so so RB 63372 464 19 far far RB 63372 464 20 as as IN 63372 464 21 certain certain JJ 63372 464 22 parts part NNS 63372 464 23 of of IN 63372 464 24 it -PRON- PRP 63372 464 25 were be VBD 63372 464 26 occupied occupy VBN 63372 464 27 by by IN 63372 464 28 matter matter NN 63372 464 29 . . . 63372 465 1 Positions position NNS 63372 465 2 of of IN 63372 465 3 bodies body NNS 63372 465 4 in in IN 63372 465 5 this this DT 63372 465 6 space space NN 63372 465 7 were be VBD 63372 465 8 in in IN 63372 465 9 general general JJ 63372 465 10 determined determine VBN 63372 465 11 by by IN 63372 465 12 reference reference NN 63372 465 13 to]283 to]283 NNP 63372 465 14 [ [ -LRB- 63372 465 15 a a DT 63372 465 16 " " `` 63372 465 17 coordinate coordinate JJ 63372 465 18 system system NN 63372 465 19 " " '' 63372 465 20 of of IN 63372 465 21 some some DT 63372 465 22 kind kind NN 63372 465 23 . . . 63372 466 1 This this DT 63372 466 2 is be VBZ 63372 466 3 again again RB 63372 466 4 something something NN 63372 466 5 that that WDT 63372 466 6 demands demand VBZ 63372 466 7 a a DT 63372 466 8 certain certain JJ 63372 466 9 amount amount NN 63372 466 10 of of IN 63372 466 11 discussion discussion NN 63372 466 12 . . . 63372 467 1 THE the DT 63372 467 2 REFERENCE reference NN 63372 467 3 FRAME frame NN 63372 467 4 FOR for IN 63372 467 5 SPACE space NN 63372 467 6 The the DT 63372 467 7 mathematician mathematician NN 63372 467 8 , , , 63372 467 9 following follow VBG 63372 467 10 the the DT 63372 467 11 lead lead NN 63372 467 12 of of IN 63372 467 13 the the DT 63372 467 14 great great JJ 63372 467 15 French French NNP 63372 467 16 all all RB 63372 467 17 - - HYPH 63372 467 18 around around RB 63372 467 19 genius genius NN 63372 467 20 , , , 63372 467 21 Descartes Descartes NNPS 63372 467 22 , , , 63372 467 23 shows show VBZ 63372 467 24 us -PRON- PRP 63372 467 25 very very RB 63372 467 26 clearly clearly RB 63372 467 27 how how WRB 63372 467 28 to to TO 63372 467 29 set set VB 63372 467 30 up up RP 63372 467 31 , , , 63372 467 32 for for IN 63372 467 33 the the DT 63372 467 34 measurement measurement NN 63372 467 35 of of IN 63372 467 36 space space NN 63372 467 37 , , , 63372 467 38 the the DT 63372 467 39 framework framework NN 63372 467 40 known know VBN 63372 467 41 as as IN 63372 467 42 the the DT 63372 467 43 Cartesian cartesian JJ 63372 467 44 coordinate coordinate NN 63372 467 45 system system NN 63372 467 46 . . . 63372 468 1 The the DT 63372 468 2 person person NN 63372 468 3 of of IN 63372 468 4 most most JJS 63372 468 5 ordinary ordinary JJ 63372 468 6 mathematical mathematical JJ 63372 468 7 attainments attainment NNS 63372 468 8 will will MD 63372 468 9 realize realize VB 63372 468 10 that that DT 63372 468 11 to to TO 63372 468 12 locate locate VB 63372 468 13 a a DT 63372 468 14 point point NN 63372 468 15 in in IN 63372 468 16 a a DT 63372 468 17 plane plane NN 63372 468 18 we -PRON- PRP 63372 468 19 must must MD 63372 468 20 have have VB 63372 468 21 two two CD 63372 468 22 measurements measurement NNS 63372 468 23 ; ; : 63372 468 24 and and CC 63372 468 25 we -PRON- PRP 63372 468 26 could could MD 63372 468 27 probably probably RB 63372 468 28 show show VB 63372 468 29 this this DT 63372 468 30 person person NN 63372 468 31 , , , 63372 468 32 without without IN 63372 468 33 too too RB 63372 468 34 serious serious JJ 63372 468 35 difficulty difficulty NN 63372 468 36 , , , 63372 468 37 that that IN 63372 468 38 we -PRON- PRP 63372 468 39 can can MD 63372 468 40 locate locate VB 63372 468 41 a a DT 63372 468 42 point point NN 63372 468 43 in in IN 63372 468 44 any any DT 63372 468 45 surface surface NN 63372 468 46 by by IN 63372 468 47 two two CD 63372 468 48 measurements measurement NNS 63372 468 49 . . . 63372 469 1 An an DT 63372 469 2 example example NN 63372 469 3 of of IN 63372 469 4 this this DT 63372 469 5 is be VBZ 63372 469 6 the the DT 63372 469 7 location location NN 63372 469 8 of of IN 63372 469 9 points point NNS 63372 469 10 on on IN 63372 469 11 the the DT 63372 469 12 earth earth NN 63372 469 13 's 's POS 63372 469 14 surface surface NN 63372 469 15 by by IN 63372 469 16 means mean NNS 63372 469 17 of of IN 63372 469 18 their -PRON- PRP$ 63372 469 19 latitude latitude NN 63372 469 20 and and CC 63372 469 21 longitude longitude NN 63372 469 22 . . . 63372 470 1 It -PRON- PRP 63372 470 2 is be VBZ 63372 470 3 equally equally RB 63372 470 4 clear clear JJ 63372 470 5 that that IN 63372 470 6 if if IN 63372 470 7 we -PRON- PRP 63372 470 8 add add VBP 63372 470 9 a a DT 63372 470 10 third third JJ 63372 470 11 dimension dimension NN 63372 470 12 and and CC 63372 470 13 attempt attempt NN 63372 470 14 to to TO 63372 470 15 locate locate VB 63372 470 16 points point NNS 63372 470 17 in in IN 63372 470 18 space space NN 63372 470 19 , , , 63372 470 20 we -PRON- PRP 63372 470 21 must must MD 63372 470 22 add add VB 63372 470 23 a a DT 63372 470 24 third third JJ 63372 470 25 measurement measurement NN 63372 470 26 . . . 63372 471 1 In in IN 63372 471 2 the the DT 63372 471 3 case case NN 63372 471 4 of of IN 63372 471 5 points point NNS 63372 471 6 on on IN 63372 471 7 the the DT 63372 471 8 earth earth NN 63372 471 9 's 's POS 63372 471 10 surface surface NN 63372 471 11 , , , 63372 471 12 this this DT 63372 471 13 might may MD 63372 471 14 be be VB 63372 471 15 the the DT 63372 471 16 elevation elevation NN 63372 471 17 above above IN 63372 471 18 sea sea NN 63372 471 19 level level NN 63372 471 20 , , , 63372 471 21 which which WDT 63372 471 22 would would MD 63372 471 23 define define VB 63372 471 24 the the DT 63372 471 25 point point NN 63372 471 26 not not RB 63372 471 27 as as IN 63372 471 28 part part NN 63372 471 29 of of IN 63372 471 30 the the DT 63372 471 31 spherical spherical JJ 63372 471 32 surface surface NN 63372 471 33 of of IN 63372 471 34 the the DT 63372 471 35 earth earth NN 63372 471 36 but but CC 63372 471 37 as as IN 63372 471 38 part part NN 63372 471 39 of of IN 63372 471 40 the the DT 63372 471 41 solid solid JJ 63372 471 42 sphere sphere NN 63372 471 43 . . . 63372 472 1 Or or CC 63372 472 2 we -PRON- PRP 63372 472 3 may may MD 63372 472 4 fall fall VB 63372 472 5 back back RB 63372 472 6 on on IN 63372 472 7 Dr. Dr. NNP 63372 472 8 Slosson Slosson NNP 63372 472 9 's 's POS 63372 472 10 suggestion suggestion NN 63372 472 11 that that IN 63372 472 12 in in IN 63372 472 13 order order NN 63372 472 14 to to TO 63372 472 15 define define VB 63372 472 16 completely completely RB 63372 472 17 the the DT 63372 472 18 position position NN 63372 472 19 of of IN 63372 472 20 his -PRON- PRP$ 63372 472 21 laboratory laboratory NN 63372 472 22 , , , 63372 472 23 we -PRON- PRP 63372 472 24 must must MD 63372 472 25 make make VB 63372 472 26 a a DT 63372 472 27 statement statement NN 63372 472 28 about about IN 63372 472 29 Broadway Broadway NNP 63372 472 30 , , , 63372 472 31 and and CC 63372 472 32 one one CD 63372 472 33 about about IN 63372 472 34 116th 116th NNP 63372 472 35 Street Street NNP 63372 472 36 , , , 63372 472 37 and and CC 63372 472 38 one one CD 63372 472 39 telling tell VBG 63372 472 40 how how WRB 63372 472 41 many many JJ 63372 472 42 flights flight NNS 63372 472 43 of of IN 63372 472 44 stairs stair NNS 63372 472 45 there there EX 63372 472 46 are be VBP 63372 472 47 to to TO 63372 472 48 climb climb VB 63372 472 49 . . . 63372 473 1 In in IN 63372 473 2 any any DT 63372 473 3 event event NN 63372 473 4 , , , 63372 473 5 it -PRON- PRP 63372 473 6 should should MD 63372 473 7 be be VB 63372 473 8 clear clear JJ 63372 473 9 enough enough RB 63372 473 10 that that IN 63372 473 11 the the DT 63372 473 12 complete complete JJ 63372 473 13 definition definition NN 63372 473 14 of of IN 63372 473 15 a a DT 63372 473 16 point point NN 63372 473 17 in in IN 63372 473 18 space space NN 63372 473 19 calls call NNS 63372 473 20 for for IN 63372 473 21 three three CD 63372 473 22 measurements measurement NNS 63372 473 23 . . . 63372 474 1 The the DT 63372 474 2 mathematician mathematician NN 63372 474 3 formulates formulate VBZ 63372 474 4 all all PDT 63372 474 5 this this DT 63372 474 6 with with IN 63372 474 7 the the DT 63372 474 8 utmost utmost JJ 63372 474 9 precision precision NN 63372 474 10 . . . 63372 475 1 He -PRON- PRP 63372 475 2 asks ask VBZ 63372 475 3 us -PRON- PRP 63372 475 4 to to TO 63372 475 5 ] ] -RRB- 63372 475 6 * * NFP 63372 475 7 [ [ -LRB- 63372 475 8 pick pick VB 63372 475 9 out out RP 63372 475 10 any any DT 63372 475 11 point point NN 63372 475 12 whatever whatever WDT 63372 475 13 in in IN 63372 475 14 space space NN 63372 475 15 and and CC 63372 475 16 call call VB 63372 475 17 it -PRON- PRP 63372 475 18 $ $ $ 63372 475 19 O$. o$. NN 63372 476 1 We -PRON- PRP 63372 476 2 then then RB 63372 476 3 draw draw VBP 63372 476 4 or or CC 63372 476 5 conceive conceive VB 63372 476 6 to to TO 63372 476 7 be be VB 63372 476 8 drawn draw VBN 63372 476 9 through through IN 63372 476 10 this this DT 63372 476 11 point point NN 63372 476 12 three three CD 63372 476 13 mutually mutually RB 63372 476 14 perpendicular perpendicular JJ 63372 476 15 lines line NNS 63372 476 16 called call VBD 63372 476 17 coordinate coordinate NNP 63372 476 18 axes axis NNS 63372 476 19 , , , 63372 476 20 which which WDT 63372 476 21 we -PRON- PRP 63372 476 22 may may MD 63372 476 23 designate designate VB 63372 476 24 $ $ $ 63372 476 25 OX$ ox$ CD 63372 476 26 , , , 63372 476 27 $ $ $ 63372 476 28 OY$ oy$ CD 63372 476 29 and and CC 63372 476 30 $ $ $ 63372 476 31 OZ$ oz$ CD 63372 476 32 , , , 63372 476 33 respectively respectively RB 63372 476 34 . . . 63372 477 1 Finally finally RB 63372 477 2 , , , 63372 477 3 we -PRON- PRP 63372 477 4 consider consider VBP 63372 477 5 the the DT 63372 477 6 three three CD 63372 477 7 planes plane NNS 63372 477 8 also also RB 63372 477 9 mutually mutually RB 63372 477 10 perpendicular perpendicular JJ 63372 477 11 like like IN 63372 477 12 the the DT 63372 477 13 two two CD 63372 477 14 walls wall NNS 63372 477 15 and and CC 63372 477 16 the the DT 63372 477 17 floor floor NN 63372 477 18 of of IN 63372 477 19 a a DT 63372 477 20 room room NN 63372 477 21 that that WDT 63372 477 22 meet meet VBP 63372 477 23 in in IN 63372 477 24 one one CD 63372 477 25 common common JJ 63372 477 26 corner corner NN 63372 477 27 , , , 63372 477 28 which which WDT 63372 477 29 are be VBP 63372 477 30 formed form VBN 63372 477 31 by by IN 63372 477 32 the the DT 63372 477 33 lines line NNS 63372 477 34 $ $ $ 63372 477 35 OX$ ox$ CD 63372 477 36 and and CC 63372 477 37 $ $ $ 63372 477 38 OY$ oy$ CD 63372 477 39 , , , 63372 477 40 $ $ $ 63372 477 41 OY$ oy$ CD 63372 477 42 and and CC 63372 477 43 $ $ $ 63372 477 44 OZ$ oz$ CD 63372 477 45 , , , 63372 477 46 and and CC 63372 477 47 $ $ $ 63372 477 48 OZ$ oz$ CD 63372 477 49 and and CC 63372 477 50 $ $ $ 63372 477 51 OX$ ox$ CD 63372 477 52 , , , 63372 477 53 respectively respectively RB 63372 477 54 . . . 63372 478 1 These these DT 63372 478 2 three three CD 63372 478 3 planes plane NNS 63372 478 4 are be VBP 63372 478 5 called call VBN 63372 478 6 coordinate coordinate JJ 63372 478 7 planes plane NNS 63372 478 8 . . . 63372 479 1 And and CC 63372 479 2 then then RB 63372 479 3 any any DT 63372 479 4 other other JJ 63372 479 5 point point NN 63372 479 6 $ $ $ 63372 479 7 P$ p$ CD 63372 479 8 in in IN 63372 479 9 space space NN 63372 479 10 can can MD 63372 479 11 be be VB 63372 479 12 represented represent VBN 63372 479 13 with with IN 63372 479 14 respect respect NN 63372 479 15 to to IN 63372 479 16 $ $ $ 63372 479 17 O$ o$ NN 63372 479 18 by by IN 63372 479 19 its -PRON- PRP$ 63372 479 20 perpendicular perpendicular JJ 63372 479 21 distances distance NNS 63372 479 22 from from IN 63372 479 23 each each DT 63372 479 24 of of IN 63372 479 25 the the DT 63372 479 26 three three CD 63372 479 27 coordinate coordinate JJ 63372 479 28 planes plane NNS 63372 479 29 -- -- : 63372 479 30 the the DT 63372 479 31 distances distance NNS 63372 479 32 $ $ $ 63372 479 33 x$ x$ NNP 63372 479 34 , , , 63372 479 35 $ $ $ 63372 479 36 y$ y$ NNP 63372 479 37 , , , 63372 479 38 $ $ $ 63372 479 39 z$ z$ NNP 63372 479 40 in in IN 63372 479 41 the the DT 63372 479 42 figure figure NN 63372 479 43 . . . 63372 480 1 These these DT 63372 480 2 quantities quantity NNS 63372 480 3 are be VBP 63372 480 4 called call VBN 63372 480 5 the the DT 63372 480 6 coordinates coordinate NNS 63372 480 7 of of IN 63372 480 8 the the DT 63372 480 9 point point NN 63372 480 10 . . . 63372 481 1 ] ] -RRB- 63372 481 2 272 272 CD 63372 481 3 [ [ -LRB- 63372 481 4 To to IN 63372 481 5 the the DT 63372 481 6 layman layman NN 63372 481 7 there there EX 63372 481 8 seems seem VBZ 63372 481 9 something something NN 63372 481 10 altogether altogether RB 63372 481 11 naive naive JJ 63372 481 12 in in IN 63372 481 13 this this DT 63372 481 14 notion notion NN 63372 481 15 of of IN 63372 481 16 the the DT 63372 481 17 scientist scientist NN 63372 481 18 's 's POS 63372 481 19 setting setting NN 63372 481 20 up up RP 63372 481 21 the the DT 63372 481 22 three three CD 63372 481 23 sides side NNS 63372 481 24 of of IN 63372 481 25 a a DT 63372 481 26 box box NN 63372 481 27 in in IN 63372 481 28 space space NN 63372 481 29 and and CC 63372 481 30 using use VBG 63372 481 31 them -PRON- PRP 63372 481 32 as as IN 63372 481 33 the the DT 63372 481 34 basis basis NN 63372 481 35 of of IN 63372 481 36 all all PDT 63372 481 37 his -PRON- PRP$ 63372 481 38 work work NN 63372 481 39 . . . 63372 482 1 The the DT 63372 482 2 layman layman NN 63372 482 3 somehow somehow RB 63372 482 4 feels feel VBZ 63372 482 5 that that IN 63372 482 6 while while IN 63372 482 7 it -PRON- PRP 63372 482 8 is be VBZ 63372 482 9 perfectly perfectly RB 63372 482 10 all all RB 63372 482 11 right right JJ 63372 482 12 for for IN 63372 482 13 him -PRON- PRP 63372 482 14 to to TO 63372 482 15 tell tell VB 63372 482 16 us -PRON- PRP 63372 482 17 that that IN 63372 482 18 he -PRON- PRP 63372 482 19 lives live VBZ 63372 482 20 at at IN 63372 482 21 1065 1065 CD 63372 482 22 ( ( -LRB- 63372 482 23 one one CD 63372 482 24 coordinate coordinate NN 63372 482 25 ) ) -RRB- 63372 482 26 156th 156th NNP 63372 482 27 Street Street NNP 63372 482 28 ( ( -LRB- 63372 482 29 two two CD 63372 482 30 coordinates coordinate NNS 63372 482 31 ) ) -RRB- 63372 482 32 on on IN 63372 482 33 the the DT 63372 482 34 third third JJ 63372 482 35 floor floor NN 63372 482 36 ( ( -LRB- 63372 482 37 three three CD 63372 482 38 coordinates coordinate NNS 63372 482 39 ) ) -RRB- 63372 482 40 , , , 63372 482 41 it -PRON- PRP 63372 482 42 is be VBZ 63372 482 43 rather rather RB 63372 482 44 trivial trivial JJ 63372 482 45 business business NN 63372 482 46 for for IN 63372 482 47 the the DT 63372 482 48 serious serious JJ 63372 482 49 - - HYPH 63372 482 50 minded minded JJ 63372 482 51 scientist scientist NN 63372 482 52 to to TO 63372 482 53 consider consider VB 63372 482 54 the the DT 63372 482 55 up up JJ 63372 482 56 - - HYPH 63372 482 57 and and CC 63372 482 58 - - HYPH 63372 482 59 down down NN 63372 482 60 , , , 63372 482 61 the the DT 63372 482 62 forward forward JJ 63372 482 63 - - HYPH 63372 482 64 and and CC 63372 482 65 - - HYPH 63372 482 66 back back NN 63372 482 67 , , , 63372 482 68 the the DT 63372 482 69 right right JJ 63372 482 70 - - HYPH 63372 482 71 and and CC 63372 482 72 - - HYPH 63372 482 73 left left NN 63372 482 74 of of IN 63372 482 75 every every DT 63372 482 76 point point NN 63372 482 77 with with IN 63372 482 78 which which WDT 63372 482 79 he -PRON- PRP 63372 482 80 has have VBZ 63372 482 81 occasion occasion NN 63372 482 82 to to TO 63372 482 83 deal deal VB 63372 482 84 . . . 63372 483 1 There there EX 63372 483 2 seems seem VBZ 63372 483 3 to to IN 63372 483 4 the the DT 63372 483 5 layman layman JJ 63372 483 6 something something NN 63372 483 7 particularly particularly RB 63372 483 8 inane inane JJ 63372 483 9 and and CC 63372 483 10 foolish foolish JJ 63372 483 11 and and CC 63372 483 12 altogether altogether RB 63372 483 13 puerile puerile JJ 63372 483 14 about about IN 63372 483 15 a a DT 63372 483 16 set set NN 63372 483 17 of of IN 63372 483 18 coordinate coordinate JJ 63372 483 19 axes axis NNS 63372 483 20 , , , 63372 483 21 and and CC 63372 483 22 you -PRON- PRP 63372 483 23 simply simply RB 63372 483 24 ca can MD 63372 483 25 n't not RB 63372 483 26 make make VB 63372 483 27 him -PRON- PRP 63372 483 28 believe believe VB 63372 483 29 that that IN 63372 483 30 the the DT 63372 483 31 serious serious JJ 63372 483 32 - - HYPH 63372 483 33 minded minded JJ 63372 483 34 scientist scientist NN 63372 483 35 has have VBZ 63372 483 36 to to TO 63372 483 37 monkey monkey VB 63372 483 38 with with IN 63372 483 39 any any DT 63372 483 40 such such JJ 63372 483 41 funny funny JJ 63372 483 42 business business NN 63372 483 43 . . . 63372 484 1 He -PRON- PRP 63372 484 2 ca can MD 63372 484 3 n't not RB 63372 484 4 be be VB 63372 484 5 induced induce VBN 63372 484 6 to to TO 63372 484 7 take take VB 63372 484 8 this this DT 63372 484 9 coordinate coordinate NN 63372 484 10 - - HYPH 63372 484 11 axis axis NN 63372 484 12 business business NN 63372 484 13 seriously seriously RB 63372 484 14 . . . 63372 485 1 Nevertheless nevertheless RB 63372 485 2 , , , 63372 485 3 the the DT 63372 485 4 fact fact NN 63372 485 5 is be VBZ 63372 485 6 that that IN 63372 485 7 the the DT 63372 485 8 scientist scientist NN 63372 485 9 takes take VBZ 63372 485 10 it -PRON- PRP 63372 485 11 with with IN 63372 485 12 the the DT 63372 485 13 utmost utmost JJ 63372 485 14 seriousness seriousness NN 63372 485 15 . . . 63372 486 1 It -PRON- PRP 63372 486 2 is be VBZ 63372 486 3 necessary necessary JJ 63372 486 4 for for IN 63372 486 5 him -PRON- PRP 63372 486 6 to to TO 63372 486 7 define define VB 63372 486 8 the the DT 63372 486 9 positions position NNS 63372 486 10 of of IN 63372 486 11 points point NNS 63372 486 12 ; ; : 63372 486 13 and and CC 63372 486 14 he -PRON- PRP 63372 486 15 does do VBZ 63372 486 16 do do VB 63372 486 17 it -PRON- PRP 63372 486 18 by by IN 63372 486 19 means mean NNS 63372 486 20 of of IN 63372 486 21 a a DT 63372 486 22 set set NN 63372 486 23 of of IN 63372 486 24 coordinate coordinate JJ 63372 486 25 axes axis NNS 63372 486 26 . . . 63372 487 1 The the DT 63372 487 2 scientist scientist NN 63372 487 3 , , , 63372 487 4 however however RB 63372 487 5 , , , 63372 487 6 is be VBZ 63372 487 7 not not RB 63372 487 8 interested interested JJ 63372 487 9 in in IN 63372 487 10 points point NNS 63372 487 11 of of IN 63372 487 12 empty empty JJ 63372 487 13 space space NN 63372 487 14 . . . 63372 488 1 The the DT 63372 488 2 point point NN 63372 488 3 is be VBZ 63372 488 4 to to IN 63372 488 5 him -PRON- PRP 63372 488 6 merely merely RB 63372 488 7 part part NN 63372 488 8 again again RB 63372 488 9 of of IN 63372 488 10 the the DT 63372 488 11 conceptual conceptual JJ 63372 488 12 machinery machinery NN 63372 488 13 which which WDT 63372 488 14 he -PRON- PRP 63372 488 15 uses use VBZ 63372 488 16 in in IN 63372 488 17 his -PRON- PRP$ 63372 488 18 effort effort NN 63372 488 19 to to TO 63372 488 20 run run VB 63372 488 21 along along IN 63372 488 22 with with IN 63372 488 23 the the DT 63372 488 24 external external JJ 63372 488 25 world world NN 63372 488 26 . . . 63372 489 1 He -PRON- PRP 63372 489 2 knows know VBZ 63372 489 3 there there EX 63372 489 4 are be VBP 63372 489 5 no no DT 63372 489 6 real real JJ 63372 489 7 points point NNS 63372 489 8 , , , 63372 489 9 but but CC 63372 489 10 it -PRON- PRP 63372 489 11 suits suit VBZ 63372 489 12 his -PRON- PRP$ 63372 489 13 convenience convenience NN 63372 489 14 to to TO 63372 489 15 keep keep VB 63372 489 16 track track NN 63372 489 17 of of IN 63372 489 18 certain certain JJ 63372 489 19 things thing NNS 63372 489 20 that that WDT 63372 489 21 are be VBP 63372 489 22 real real JJ 63372 489 23 by by IN 63372 489 24 representing represent VBG 63372 489 25 them -PRON- PRP 63372 489 26 as as IN 63372 489 27 points point NNS 63372 489 28 . . . 63372 490 1 But but CC 63372 490 2 these these DT 63372 490 3 things thing NNS 63372 490 4 are be VBP 63372 490 5 in in IN 63372 490 6 practically practically RB 63372 490 7 every every DT 63372 490 8 instance instance NN 63372 490 9 material material NN 63372 490 10 bodies body NNS 63372 490 11 ; ; : 63372 490 12 and and CC 63372 490 13 in in IN 63372 490 14 practically practically RB 63372 490 15 every every DT 63372 490 16 instance instance NN 63372 490 17 , , , 63372 490 18 instead instead RB 63372 490 19 of of IN 63372 490 20 staying stay VBG 63372 490 21 put put VBN 63372 490 22 in in IN 63372 490 23 one one CD 63372 490 24 spot spot NN 63372 490 25 , , , 63372 490 26 they -PRON- PRP 63372 490 27 insist insist VBP 63372 490 28 upon upon IN 63372 490 29 moving move VBG 63372 490 30 about about RB 63372 490 31 through through IN 63372 490 32 space space NN 63372 490 33 . . . 63372 491 1 The the DT 63372 491 2 scientist scientist NN 63372 491 3 has have VBZ 63372 491 4 to to TO 63372 491 5 use use VB 63372 491 6 his -PRON- PRP$ 63372 491 7 coordinate coordinate JJ 63372 491 8 system system NN 63372 491 9 , , , 63372 491 10 not not RB 63372 491 11 merely merely RB 63372 491 12 to to TO 63372 491 13 define define VB 63372 491 14 a a DT 63372 491 15 single single JJ 63372 491 16 position position NN 63372 491 17 of of IN 63372 491 18 such such PDT 63372 491 19 a a DT 63372 491 20 " " `` 63372 491 21 point point NN 63372 491 22 , , , 63372 491 23 " " '' 63372 491 24 but but CC 63372 491 25 to to TO 63372 491 26 keep keep VB 63372 491 27 track track NN 63372 491 28 of of IN 63372 491 29 the the DT 63372 491 30 path path NN 63372 491 31 over over IN 63372 491 32 which which WDT 63372 491 33 it -PRON- PRP 63372 491 34 moves move VBZ 63372 491 35 and and CC 63372 491 36 to to TO 63372 491 37 define define VB 63372 491 38 its -PRON- PRP$ 63372 491 39 position position NN 63372 491 40 in in IN 63372 491 41 that that DT 63372 491 42 path path NN 63372 491 43 at at IN 63372 491 44 given give VBN 63372 491 45 moments moment NNS 63372 491 46 . . . 63372 492 1 TIME TIME NNP 63372 492 2 AND and CC 63372 492 3 THE the DT 63372 492 4 COORDINATE COORDINATE NNP 63372 492 5 SYSTEM system NN 63372 492 6 This this DT 63372 492 7 introduces introduce VBZ 63372 492 8 the the DT 63372 492 9 concept concept NN 63372 492 10 of of IN 63372 492 11 time time NN 63372 492 12 into into IN 63372 492 13 intimate intimate JJ 63372 492 14 relationship relationship NN 63372 492 15 with with IN 63372 492 16 the the DT 63372 492 17 spatial spatial JJ 63372 492 18 coordinate coordinate JJ 63372 492 19 system system NN 63372 492 20 . . . 63372 493 1 And and CC 63372 493 2 at at IN 63372 493 3 once once IN 63372 493 4 we -PRON- PRP 63372 493 5 feel feel VBP 63372 493 6 the the DT 63372 493 7 lack lack NN 63372 493 8 of of IN 63372 493 9 a a DT 63372 493 10 concrete concrete NN 63372 493 11 , , , 63372 493 12 visualized visualize VBN 63372 493 13 fourth fourth JJ 63372 493 14 dimension dimension NN 63372 493 15 . . . 63372 494 1 ] ] -RRB- 63372 494 2 * * NFP 63372 494 3 [ [ -LRB- 63372 494 4 If if IN 63372 494 5 we -PRON- PRP 63372 494 6 want want VBP 63372 494 7 to to TO 63372 494 8 fix fix VB 63372 494 9 objects object NNS 63372 494 10 in in IN 63372 494 11 the the DT 63372 494 12 floor floor NN 63372 494 13 alone alone RB 63372 494 14 , , , 63372 494 15 the the DT 63372 494 16 edge edge NN 63372 494 17 of of IN 63372 494 18 the the DT 63372 494 19 room room NN 63372 494 20 running run VBG 63372 494 21 toward toward IN 63372 494 22 the the DT 63372 494 23 ceiling ceiling NN 63372 494 24 would would MD 63372 494 25 become become VB 63372 494 26 unnecessary unnecessary JJ 63372 494 27 and and CC 63372 494 28 could could MD 63372 494 29 be be VB 63372 494 30 dropped drop VBN 63372 494 31 from from IN 63372 494 32 our -PRON- PRP$ 63372 494 33 coordinate coordinate JJ 63372 494 34 system system NN 63372 494 35 . . . 63372 495 1 That that RB 63372 495 2 is is RB 63372 495 3 , , , 63372 495 4 we -PRON- PRP 63372 495 5 need need VBP 63372 495 6 only only RB 63372 495 7 two two CD 63372 495 8 coordinates coordinate NNS 63372 495 9 to to TO 63372 495 10 fix fix VB 63372 495 11 the the DT 63372 495 12 position position NN 63372 495 13 of of IN 63372 495 14 a a DT 63372 495 15 point point NN 63372 495 16 in in IN 63372 495 17 a a DT 63372 495 18 plane plane NN 63372 495 19 . . . 63372 496 1 Suppose suppose VB 63372 496 2 instead instead RB 63372 496 3 of of IN 63372 496 4 discarding discard VBG 63372 496 5 the the DT 63372 496 6 third third JJ 63372 496 7 coordinate coordinate NN 63372 496 8 , , , 63372 496 9 we -PRON- PRP 63372 496 10 use use VBP 63372 496 11 it -PRON- PRP 63372 496 12 to to TO 63372 496 13 represent represent VB 63372 496 14 units unit NNS 63372 496 15 of of IN 63372 496 16 time time NN 63372 496 17 . . . 63372 497 1 It -PRON- PRP 63372 497 2 then then RB 63372 497 3 enables enable VBZ 63372 497 4 us -PRON- PRP 63372 497 5 to to TO 63372 497 6 record record VB 63372 497 7 the the DT 63372 497 8 time time NN 63372 497 9 it -PRON- PRP 63372 497 10 took take VBD 63372 497 11 a a DT 63372 497 12 moving moving NN 63372 497 13 point point NN 63372 497 14 in in IN 63372 497 15 the the DT 63372 497 16 floor floor NN 63372 497 17 to to TO 63372 497 18 pass pass VB 63372 497 19 from from IN 63372 497 20 position position NN 63372 497 21 to to IN 63372 497 22 position position NN 63372 497 23 . . . 63372 498 1 Certain certain JJ 63372 498 2 points point NNS 63372 498 3 in in IN 63372 498 4 the the DT 63372 498 5 room room NN 63372 498 6 would would MD 63372 498 7 be be VB 63372 498 8 vertically vertically RB 63372 498 9 above above IN 63372 498 10 the the DT 63372 498 11 corresponding corresponding JJ 63372 498 12 points point NNS 63372 498 13 occupied occupy VBN 63372 498 14 by by IN 63372 498 15 the the DT 63372 498 16 moving moving NN 63372 498 17 point point NN 63372 498 18 in in IN 63372 498 19 its -PRON- PRP$ 63372 498 20 path path NN 63372 498 21 across across IN 63372 498 22 the the DT 63372 498 23 floor floor NN 63372 498 24 ; ; : 63372 498 25 and and CC 63372 498 26 the the DT 63372 498 27 vertical vertical JJ 63372 498 28 height height NN 63372 498 29 above above IN 63372 498 30 the the DT 63372 498 31 floor floor NN 63372 498 32 of of IN 63372 498 33 such such JJ 63372 498 34 points point NNS 63372 498 35 corresponds correspond VBZ 63372 498 36 to to IN 63372 498 37 a a DT 63372 498 38 value value NN 63372 498 39 of of IN 63372 498 40 the the DT 63372 498 41 time time NN 63372 498 42 - - HYPH 63372 498 43 coordinate coordinate NN 63372 498 44 which which WDT 63372 498 45 indicates indicate VBZ 63372 498 46 the the DT 63372 498 47 time time NN 63372 498 48 it -PRON- PRP 63372 498 49 took take VBD 63372 498 50 the the DT 63372 498 51 point point NN 63372 498 52 to to TO 63372 498 53 move move VB 63372 498 54 from from IN 63372 498 55 position position NN 63372 498 56 to to IN 63372 498 57 position position NN 63372 498 58 . . . 63372 499 1 ] ] -RRB- 63372 499 2 152 152 CD 63372 499 3 [ [ -LRB- 63372 499 4 Just just RB 63372 499 5 as as IN 63372 499 6 the the DT 63372 499 7 path path NN 63372 499 8 of of IN 63372 499 9 the the DT 63372 499 10 point point NN 63372 499 11 across across IN 63372 499 12 the the DT 63372 499 13 floor floor NN 63372 499 14 is be VBZ 63372 499 15 a a DT 63372 499 16 continuous continuous JJ 63372 499 17 curve curve NN 63372 499 18 ( ( -LRB- 63372 499 19 for for IN 63372 499 20 the the DT 63372 499 21 mathematician mathematician NN 63372 499 22 , , , 63372 499 23 it -PRON- PRP 63372 499 24 should should MD 63372 499 25 be be VB 63372 499 26 understood understand VBN 63372 499 27 , , , 63372 499 28 this this DT 63372 499 29 term term NN 63372 499 30 " " `` 63372 499 31 curve curve NN 63372 499 32 " " '' 63372 499 33 includes include VBZ 63372 499 34 the the DT 63372 499 35 straight straight JJ 63372 499 36 line line NN 63372 499 37 , , , 63372 499 38 as as IN 63372 499 39 a a DT 63372 499 40 special special JJ 63372 499 41 case case NN 63372 499 42 in in IN 63372 499 43 which which WDT 63372 499 44 the the DT 63372 499 45 curvature curvature NN 63372 499 46 happens happen VBZ 63372 499 47 to to TO 63372 499 48 be be VB 63372 499 49 zero zero CD 63372 499 50 ) ) -RRB- 63372 499 51 ; ; : 63372 499 52 so so CC 63372 499 53 the the DT 63372 499 54 series series NN 63372 499 55 of of IN 63372 499 56 points point NNS 63372 499 57 above above IN 63372 499 58 these these DT 63372 499 59 in in IN 63372 499 60 the the DT 63372 499 61 room room NN 63372 499 62 forms form VBZ 63372 499 63 a a DT 63372 499 64 continuous continuous JJ 63372 499 65 curve curve NN 63372 499 66 which which WDT 63372 499 67 records record VBZ 63372 499 68 for for IN 63372 499 69 us -PRON- PRP 63372 499 70 , , , 63372 499 71 not not RB 63372 499 72 merely merely RB 63372 499 73 the the DT 63372 499 74 path path NN 63372 499 75 of of IN 63372 499 76 the the DT 63372 499 77 point point NN 63372 499 78 across across IN 63372 499 79 the the DT 63372 499 80 floor floor NN 63372 499 81 , , , 63372 499 82 but but CC 63372 499 83 in in IN 63372 499 84 addition addition NN 63372 499 85 the the DT 63372 499 86 time time NN 63372 499 87 of of IN 63372 499 88 its -PRON- PRP$ 63372 499 89 arrival arrival NN 63372 499 90 at at IN 63372 499 91 each each DT 63372 499 92 of of IN 63372 499 93 its -PRON- PRP$ 63372 499 94 successive successive JJ 63372 499 95 positions position NNS 63372 499 96 . . . 63372 500 1 In in IN 63372 500 2 the the DT 63372 500 3 algebraic algebraic NN 63372 500 4 work work NN 63372 500 5 connected connect VBN 63372 500 6 with with IN 63372 500 7 such such PDT 63372 500 8 a a DT 63372 500 9 problem problem NN 63372 500 10 , , , 63372 500 11 the the DT 63372 500 12 third third JJ 63372 500 13 coordinate coordinate JJ 63372 500 14 behaves behave NNS 63372 500 15 exactly exactly RB 63372 500 16 the the DT 63372 500 17 same same JJ 63372 500 18 , , , 63372 500 19 regardless regardless RB 63372 500 20 of of IN 63372 500 21 whether whether IN 63372 500 22 we -PRON- PRP 63372 500 23 consider consider VBP 63372 500 24 it -PRON- PRP 63372 500 25 to to TO 63372 500 26 represent represent VB 63372 500 27 time time NN 63372 500 28 or or CC 63372 500 29 a a DT 63372 500 30 third third JJ 63372 500 31 spatial spatial JJ 63372 500 32 dimension dimension NN 63372 500 33 ; ; : 63372 500 34 we -PRON- PRP 63372 500 35 can can MD 63372 500 36 not not RB 63372 500 37 even even RB 63372 500 38 tell tell VB 63372 500 39 from from IN 63372 500 40 the the DT 63372 500 41 algebra algebra NN 63372 500 42 what what WP 63372 500 43 it -PRON- PRP 63372 500 44 does do VBZ 63372 500 45 represent represent VB 63372 500 46 . . . 63372 501 1 When when WRB 63372 501 2 we -PRON- PRP 63372 501 3 come come VBP 63372 501 4 to to IN 63372 501 5 the the DT 63372 501 6 more more RBR 63372 501 7 general general JJ 63372 501 8 case case NN 63372 501 9 of of IN 63372 501 10 a a DT 63372 501 11 point point NN 63372 501 12 moving move VBG 63372 501 13 freely freely RB 63372 501 14 through through IN 63372 501 15 space space NN 63372 501 16 , , , 63372 501 17 we -PRON- PRP 63372 501 18 have have VBP 63372 501 19 but but CC 63372 501 20 three three CD 63372 501 21 coordinates coordinate NNS 63372 501 22 at at IN 63372 501 23 our -PRON- PRP$ 63372 501 24 disposal disposal NN 63372 501 25 ; ; : 63372 501 26 there there EX 63372 501 27 is be VBZ 63372 501 28 not not RB 63372 501 29 a a DT 63372 501 30 fourth fourth JJ 63372 501 31 one one NN 63372 501 32 by by IN 63372 501 33 aid aid NN 63372 501 34 of of IN 63372 501 35 which which WDT 63372 501 36 we -PRON- PRP 63372 501 37 can can MD 63372 501 38 actually actually RB 63372 501 39 diagram diagram VB 63372 501 40 its -PRON- PRP$ 63372 501 41 time time NN 63372 501 42 - - HYPH 63372 501 43 space space NN 63372 501 44 record record NN 63372 501 45 . . . 63372 502 1 Nevertheless nevertheless RB 63372 502 2 , , , 63372 502 3 we -PRON- PRP 63372 502 4 can can MD 63372 502 5 write write VB 63372 502 6 down down RP 63372 502 7 the the DT 63372 502 8 numerical numerical JJ 63372 502 9 and and CC 63372 502 10 algebraic algebraic JJ 63372 502 11 relations relation NNS 63372 502 12 between between IN 63372 502 13 its -PRON- PRP$ 63372 502 14 three three CD 63372 502 15 space space NN 63372 502 16 - - HYPH 63372 502 17 coordinates coordinate NNS 63372 502 18 and and CC 63372 502 19 the the DT 63372 502 20 time time NN 63372 502 21 which which WDT 63372 502 22 it -PRON- PRP 63372 502 23 takes take VBZ 63372 502 24 to to TO 63372 502 25 pass pass VB 63372 502 26 from from IN 63372 502 27 one one CD 63372 502 28 position position NN 63372 502 29 to to IN 63372 502 30 another another DT 63372 502 31 ; ; : 63372 502 32 and and CC 63372 502 33 by by IN 63372 502 34 this this DT 63372 502 35 means mean VBZ 63372 502 36 we -PRON- PRP 63372 502 37 can can MD 63372 502 38 make make VB 63372 502 39 all all DT 63372 502 40 necessary necessary JJ 63372 502 41 calculations calculation NNS 63372 502 42 . . . 63372 503 1 Its -PRON- PRP$ 63372 503 2 motion motion NN 63372 503 3 is be VBZ 63372 503 4 completely completely RB 63372 503 5 defined define VBN 63372 503 6 with with IN 63372 503 7 regard regard NN 63372 503 8 both both DT 63372 503 9 to to IN 63372 503 10 space space NN 63372 503 11 and and CC 63372 503 12 to to IN 63372 503 13 time time NN 63372 503 14 . . . 63372 504 1 We -PRON- PRP 63372 504 2 are be VBP 63372 504 3 very very RB 63372 504 4 apt apt JJ 63372 504 5 to to TO 63372 504 6 call call VB 63372 504 7 attention attention NN 63372 504 8 to to IN 63372 504 9 the the DT 63372 504 10 fact fact NN 63372 504 11 that that IN 63372 504 12 if if IN 63372 504 13 we -PRON- PRP 63372 504 14 did do VBD 63372 504 15 have have VB 63372 504 16 at at IN 63372 504 17 our -PRON- PRP$ 63372 504 18 disposal disposal NN 63372 504 19 a a DT 63372 504 20 fourth fourth JJ 63372 504 21 , , , 63372 504 22 space space NN 63372 504 23 - - HYPH 63372 504 24 coordinate coordinate VBP 63372 504 25 , , , 63372 504 26 we -PRON- PRP 63372 504 27 could could MD 63372 504 28 use use VB 63372 504 29 it -PRON- PRP 63372 504 30 to to TO 63372 504 31 represent represent VB 63372 504 32 the the DT 63372 504 33 time time NN 63372 504 34 graphically graphically RB 63372 504 35 , , , 63372 504 36 as as IN 63372 504 37 before before RB 63372 504 38 , , , 63372 504 39 and and CC 63372 504 40 actually actually RB 63372 504 41 construct construct VB 63372 504 42 a a DT 63372 504 43 geometric geometric JJ 63372 504 44 picture picture NN 63372 504 45 of of IN 63372 504 46 the the DT 63372 504 47 path path NN 63372 504 48 of of IN 63372 504 49 our -PRON- PRP$ 63372 504 50 moving moving NN 63372 504 51 point point NN 63372 504 52 with with IN 63372 504 53 regard regard NN 63372 504 54 to to IN 63372 504 55 space space NN 63372 504 56 and and CC 63372 504 57 time time NN 63372 504 58 . . . 63372 505 1 And and CC 63372 505 2 on on IN 63372 505 3 this this DT 63372 505 4 account account NN 63372 505 5 we -PRON- PRP 63372 505 6 are be VBP 63372 505 7 very very RB 63372 505 8 apt apt JJ 63372 505 9 to to TO 63372 505 10 speak speak VB 63372 505 11 as as IN 63372 505 12 though though IN 63372 505 13 the the DT 63372 505 14 time time NN 63372 505 15 measurements measurement NNS 63372 505 16 constituted constitute VBD 63372 505 17 a a DT 63372 505 18 fourth fourth JJ 63372 505 19 coordinate coordinate NN 63372 505 20 , , , 63372 505 21 regardless regardless RB 63372 505 22 of of IN 63372 505 23 any any DT 63372 505 24 question question NN 63372 505 25 of of IN 63372 505 26 our -PRON- PRP$ 63372 505 27 ability ability NN 63372 505 28 to to TO 63372 505 29 construct construct VB 63372 505 30 a a DT 63372 505 31 picture picture NN 63372 505 32 of of IN 63372 505 33 this this DT 63372 505 34 coordinate coordinate NN 63372 505 35 . . . 63372 506 1 The the DT 63372 506 2 arrival arrival NN 63372 506 3 of of IN 63372 506 4 a a DT 63372 506 5 point point NN 63372 506 6 in in IN 63372 506 7 a a DT 63372 506 8 given give VBN 63372 506 9 position position NN 63372 506 10 constitutes constitute VBZ 63372 506 11 an an DT 63372 506 12 event event NN 63372 506 13 ; ; : 63372 506 14 and and CC 63372 506 15 this this DT 63372 506 16 event event NN 63372 506 17 is be VBZ 63372 506 18 completely completely RB 63372 506 19 defined define VBN 63372 506 20 by by IN 63372 506 21 means mean NNS 63372 506 22 of of IN 63372 506 23 four four CD 63372 506 24 coordinates coordinate NNS 63372 506 25 -- -- : 63372 506 26 three three CD 63372 506 27 in in IN 63372 506 28 space space NN 63372 506 29 , , , 63372 506 30 which which WDT 63372 506 31 we -PRON- PRP 63372 506 32 can can MD 63372 506 33 picture picture VB 63372 506 34 on on IN 63372 506 35 our -PRON- PRP$ 63372 506 36 coordinate coordinate JJ 63372 506 37 axes axis NNS 63372 506 38 , , , 63372 506 39 and and CC 63372 506 40 one one CD 63372 506 41 in in IN 63372 506 42 time time NN 63372 506 43 which which WDT 63372 506 44 we -PRON- PRP 63372 506 45 can can MD 63372 506 46 not not RB 63372 506 47 . . . 63372 507 1 The the DT 63372 507 2 set set NN 63372 507 3 of of IN 63372 507 4 coordinate coordinate JJ 63372 507 5 axes axis NNS 63372 507 6 in in IN 63372 507 7 space space NN 63372 507 8 , , , 63372 507 9 together together RB 63372 507 10 with with IN 63372 507 11 the the DT 63372 507 12 zero zero CD 63372 507 13 point point NN 63372 507 14 from from IN 63372 507 15 which which WDT 63372 507 16 we -PRON- PRP 63372 507 17 measure measure VBP 63372 507 18 time time NN 63372 507 19 , , , 63372 507 20 constitute constitute VB 63372 507 21 what what WP 63372 507 22 we -PRON- PRP 63372 507 23 call call VBP 63372 507 24 a a DT 63372 507 25 frame frame NN 63372 507 26 of of IN 63372 507 27 reference reference NN 63372 507 28 . . . 63372 508 1 If if IN 63372 508 2 we -PRON- PRP 63372 508 3 are be VBP 63372 508 4 not not RB 63372 508 5 going go VBG 63372 508 6 to to TO 63372 508 7 pay pay VB 63372 508 8 any any DT 63372 508 9 attention attention NN 63372 508 10 to to IN 63372 508 11 time time NN 63372 508 12 , , , 63372 508 13 we -PRON- PRP 63372 508 14 can can MD 63372 508 15 think think VB 63372 508 16 of of IN 63372 508 17 the the DT 63372 508 18 space space NN 63372 508 19 coordinate coordinate NN 63372 508 20 system system NN 63372 508 21 alone alone RB 63372 508 22 as as IN 63372 508 23 constituting constitute VBG 63372 508 24 our -PRON- PRP$ 63372 508 25 reference reference NN 63372 508 26 frame frame NN 63372 508 27 . . . 63372 509 1 This this DT 63372 509 2 expression expression NN 63372 509 3 appears appear VBZ 63372 509 4 freely freely RB 63372 509 5 throughout throughout IN 63372 509 6 the the DT 63372 509 7 subsequent subsequent JJ 63372 509 8 text text NN 63372 509 9 , , , 63372 509 10 and and CC 63372 509 11 always always RB 63372 509 12 with with IN 63372 509 13 one one CD 63372 509 14 or or CC 63372 509 15 the the DT 63372 509 16 other other JJ 63372 509 17 of of IN 63372 509 18 these these DT 63372 509 19 interpretations interpretation NNS 63372 509 20 . . . 63372 510 1 We -PRON- PRP 63372 510 2 see see VBP 63372 510 3 , , , 63372 510 4 then then RB 63372 510 5 , , , 63372 510 6 how how WRB 63372 510 7 we -PRON- PRP 63372 510 8 can can MD 63372 510 9 keep keep VB 63372 510 10 track track NN 63372 510 11 of of IN 63372 510 12 a a DT 63372 510 13 moving moving NN 63372 510 14 point point NN 63372 510 15 by by IN 63372 510 16 keeping keep VBG 63372 510 17 track track NN 63372 510 18 of of IN 63372 510 19 the the DT 63372 510 20 successive successive JJ 63372 510 21 positions position NNS 63372 510 22 which which WDT 63372 510 23 it -PRON- PRP 63372 510 24 occupies occupy VBZ 63372 510 25 in in IN 63372 510 26 our -PRON- PRP$ 63372 510 27 reference reference NN 63372 510 28 frame frame NN 63372 510 29 . . . 63372 511 1 ] ] -RRB- 63372 511 2 * * NFP 63372 511 3 [ [ -LRB- 63372 511 4 Now now RB 63372 511 5 we -PRON- PRP 63372 511 6 have have VBP 63372 511 7 implied imply VBN 63372 511 8 that that IN 63372 511 9 these these DT 63372 511 10 coordinate coordinate JJ 63372 511 11 axes axis NNS 63372 511 12 are be VBP 63372 511 13 fixed fix VBN 63372 511 14 in in IN 63372 511 15 space space NN 63372 511 16 ; ; : 63372 511 17 but but CC 63372 511 18 there there EX 63372 511 19 is be VBZ 63372 511 20 nothing nothing NN 63372 511 21 to to TO 63372 511 22 prevent prevent VB 63372 511 23 us -PRON- PRP 63372 511 24 from from IN 63372 511 25 supposing suppose VBG 63372 511 26 that that IN 63372 511 27 they -PRON- PRP 63372 511 28 move move VBP 63372 511 29 . . . 63372 512 1 ] ] -RRB- 63372 512 2 272 272 CD 63372 512 3 [ [ -LRB- 63372 512 4 If if IN 63372 512 5 they -PRON- PRP 63372 512 6 do do VBP 63372 512 7 , , , 63372 512 8 they -PRON- PRP 63372 512 9 carry carry VBP 63372 512 10 with with IN 63372 512 11 them -PRON- PRP 63372 512 12 all all PDT 63372 512 13 their -PRON- PRP$ 63372 512 14 points point NNS 63372 512 15 ; ; : 63372 512 16 and and CC 63372 512 17 any any DT 63372 512 18 motion motion NN 63372 512 19 of of IN 63372 512 20 these these DT 63372 512 21 points point NNS 63372 512 22 which which WDT 63372 512 23 we -PRON- PRP 63372 512 24 may may MD 63372 512 25 speak speak VB 63372 512 26 about about IN 63372 512 27 will will MD 63372 512 28 be be VB 63372 512 29 merely merely RB 63372 512 30 motion motion NN 63372 512 31 with with IN 63372 512 32 reference reference NN 63372 512 33 to to IN 63372 512 34 the the DT 63372 512 35 coordinate coordinate JJ 63372 512 36 system system NN 63372 512 37 . . . 63372 513 1 If if IN 63372 513 2 we -PRON- PRP 63372 513 3 find find VBP 63372 513 4 something something NN 63372 513 5 outside outside IN 63372 513 6 our -PRON- PRP$ 63372 513 7 coordinate coordinate JJ 63372 513 8 system system NN 63372 513 9 that that WDT 63372 513 10 is be VBZ 63372 513 11 not not RB 63372 513 12 moving move VBG 63372 513 13 , , , 63372 513 14 the the DT 63372 513 15 motion motion NN 63372 513 16 of of IN 63372 513 17 points point NNS 63372 513 18 in in IN 63372 513 19 our -PRON- PRP$ 63372 513 20 system system NN 63372 513 21 with with IN 63372 513 22 regard regard NN 63372 513 23 to to IN 63372 513 24 those those DT 63372 513 25 outside outside IN 63372 513 26 it -PRON- PRP 63372 513 27 will will MD 63372 513 28 be be VB 63372 513 29 a a DT 63372 513 30 combination combination NN 63372 513 31 of of IN 63372 513 32 their -PRON- PRP$ 63372 513 33 motion motion NN 63372 513 34 with with IN 63372 513 35 regard regard NN 63372 513 36 to to IN 63372 513 37 our -PRON- PRP$ 63372 513 38 coordinate coordinate JJ 63372 513 39 axes axis NNS 63372 513 40 and and CC 63372 513 41 that that DT 63372 513 42 of of IN 63372 513 43 these these DT 63372 513 44 axes axis NNS 63372 513 45 with with IN 63372 513 46 regard regard NN 63372 513 47 to to IN 63372 513 48 the the DT 63372 513 49 external external JJ 63372 513 50 points point NNS 63372 513 51 . . . 63372 514 1 This this DT 63372 514 2 will will MD 63372 514 3 be be VB 63372 514 4 a a DT 63372 514 5 great great JJ 63372 514 6 nuisance nuisance NN 63372 514 7 ; ; : 63372 514 8 and and CC 63372 514 9 it -PRON- PRP 63372 514 10 represents represent VBZ 63372 514 11 a a DT 63372 514 12 state state NN 63372 514 13 of of IN 63372 514 14 affairs affair NNS 63372 514 15 which which WDT 63372 514 16 we -PRON- PRP 63372 514 17 shall shall MD 63372 514 18 try try VB 63372 514 19 to to TO 63372 514 20 avoid avoid VB 63372 514 21 . . . 63372 515 1 We -PRON- PRP 63372 515 2 shall shall MD 63372 515 3 avoid avoid VB 63372 515 4 it -PRON- PRP 63372 515 5 , , , 63372 515 6 if if IN 63372 515 7 at at RB 63372 515 8 all all RB 63372 515 9 , , , 63372 515 10 by by IN 63372 515 11 selecting select VBG 63372 515 12 a a DT 63372 515 13 coordinate coordinate JJ 63372 515 14 system system NN 63372 515 15 with with IN 63372 515 16 reference reference NN 63372 515 17 to to TO 63372 515 18 which which WDT 63372 515 19 we -PRON- PRP 63372 515 20 , , , 63372 515 21 ourselves -PRON- PRP 63372 515 22 , , , 63372 515 23 are be VBP 63372 515 24 not not RB 63372 515 25 moving move VBG 63372 515 26 ; ; : 63372 515 27 one one CD 63372 515 28 which which WDT 63372 515 29 partakes partake VBZ 63372 515 30 of of IN 63372 515 31 any any DT 63372 515 32 motion motion NN 63372 515 33 which which WDT 63372 515 34 we -PRON- PRP 63372 515 35 may may MD 63372 515 36 have have VB 63372 515 37 . . . 63372 516 1 Or or CC 63372 516 2 perhaps perhaps RB 63372 516 3 we -PRON- PRP 63372 516 4 shall shall MD 63372 516 5 sometimes sometimes RB 63372 516 6 wish wish VB 63372 516 7 to to TO 63372 516 8 reverse reverse VB 63372 516 9 the the DT 63372 516 10 process process NN 63372 516 11 , , , 63372 516 12 in in IN 63372 516 13 studying study VBG 63372 516 14 the the DT 63372 516 15 behavior behavior NN 63372 516 16 of of IN 63372 516 17 some some DT 63372 516 18 group group NN 63372 516 19 of of IN 63372 516 20 bodies body NNS 63372 516 21 , , , 63372 516 22 and and CC 63372 516 23 seek seek VB 63372 516 24 a a DT 63372 516 25 set set NN 63372 516 26 of of IN 63372 516 27 axes axis NNS 63372 516 28 which which WDT 63372 516 29 is be VBZ 63372 516 30 at at IN 63372 516 31 rest rest NN 63372 516 32 with with IN 63372 516 33 respect respect NN 63372 516 34 to to IN 63372 516 35 these these DT 63372 516 36 bodies body NNS 63372 516 37 ; ; : 63372 516 38 one one CD 63372 516 39 which which WDT 63372 516 40 partakes partake VBZ 63372 516 41 of of IN 63372 516 42 any any DT 63372 516 43 motion motion NN 63372 516 44 they -PRON- PRP 63372 516 45 may may MD 63372 516 46 have have VB 63372 516 47 . . . 63372 517 1 THE the DT 63372 517 2 CHOICE choice NN 63372 517 3 OF of IN 63372 517 4 A a DT 63372 517 5 COORDINATE coordinate JJ 63372 517 6 FRAME FRAME NNS 63372 517 7 All all PDT 63372 517 8 this this DT 63372 517 9 emphasizes emphasize VBZ 63372 517 10 the the DT 63372 517 11 fact fact NN 63372 517 12 that that IN 63372 517 13 our -PRON- PRP$ 63372 517 14 coordinate coordinate JJ 63372 517 15 axes axis NNS 63372 517 16 are be VBP 63372 517 17 not not RB 63372 517 18 picked pick VBN 63372 517 19 out out RP 63372 517 20 for for IN 63372 517 21 us -PRON- PRP 63372 517 22 in in IN 63372 517 23 advance advance NN 63372 517 24 by by IN 63372 517 25 nature nature NN 63372 517 26 , , , 63372 517 27 and and CC 63372 517 28 set set VBD 63372 517 29 down down RP 63372 517 30 in in IN 63372 517 31 some some DT 63372 517 32 one one CD 63372 517 33 particular particular JJ 63372 517 34 spot spot NN 63372 517 35 . . . 63372 518 1 We -PRON- PRP 63372 518 2 select select VBP 63372 518 3 them -PRON- PRP 63372 518 4 for for IN 63372 518 5 ourselves -PRON- PRP 63372 518 6 , , , 63372 518 7 and and CC 63372 518 8 we -PRON- PRP 63372 518 9 select select VBP 63372 518 10 them -PRON- PRP 63372 518 11 in in IN 63372 518 12 the the DT 63372 518 13 most most RBS 63372 518 14 convenient convenient JJ 63372 518 15 way way NN 63372 518 16 . . . 63372 519 1 But but CC 63372 519 2 different different JJ 63372 519 3 observers observer NNS 63372 519 4 , , , 63372 519 5 or or CC 63372 519 6 perhaps perhaps RB 63372 519 7 the the DT 63372 519 8 same same JJ 63372 519 9 observer observer NN 63372 519 10 studying study VBG 63372 519 11 different different JJ 63372 519 12 problems problem NNS 63372 519 13 , , , 63372 519 14 will will MD 63372 519 15 find find VB 63372 519 16 it -PRON- PRP 63372 519 17 advantageous advantageous JJ 63372 519 18 to to TO 63372 519 19 utilize utilize VB 63372 519 20 different different JJ 63372 519 21 coordinate coordinate JJ 63372 519 22 systems system NNS 63372 519 23 . . . 63372 520 1 ] ] -RRB- 63372 520 2 * * NFP 63372 520 3 [ [ -LRB- 63372 520 4 The the DT 63372 520 5 astronomer astronomer NN 63372 520 6 has have VBZ 63372 520 7 found find VBN 63372 520 8 it -PRON- PRP 63372 520 9 possible possible JJ 63372 520 10 , , , 63372 520 11 and and CC 63372 520 12 highly highly RB 63372 520 13 convenient convenient JJ 63372 520 14 , , , 63372 520 15 to to TO 63372 520 16 select select VB 63372 520 17 a a DT 63372 520 18 coordinate coordinate JJ 63372 520 19 frame frame NN 63372 520 20 such such JJ 63372 520 21 that that IN 63372 520 22 the the DT 63372 520 23 great great JJ 63372 520 24 majority majority NN 63372 520 25 of of IN 63372 520 26 the the DT 63372 520 27 stars star NNS 63372 520 28 have have VBP 63372 520 29 , , , 63372 520 30 on on IN 63372 520 31 the the DT 63372 520 32 whole whole NN 63372 520 33 , , , 63372 520 34 no no DT 63372 520 35 motion motion NN 63372 520 36 with with IN 63372 520 37 respect respect NN 63372 520 38 to to IN 63372 520 39 it -PRON- PRP 63372 520 40 . . . 63372 521 1 ] ] -RRB- 63372 521 2 283 283 CD 63372 521 3 [ [ -LRB- 63372 521 4 Such such PDT 63372 521 5 a a DT 63372 521 6 system system NN 63372 521 7 would would MD 63372 521 8 be be VB 63372 521 9 most most RBS 63372 521 10 unsuited unsuited JJ 63372 521 11 for for IN 63372 521 12 investigations investigation NNS 63372 521 13 confined confine VBN 63372 521 14 to to IN 63372 521 15 the the DT 63372 521 16 earth earth NN 63372 521 17 ; ; : 63372 521 18 for for IN 63372 521 19 these these DT 63372 521 20 we -PRON- PRP 63372 521 21 naturally naturally RB 63372 521 22 select select VBP 63372 521 23 a a DT 63372 521 24 framework framework NN 63372 521 25 attached attach VBN 63372 521 26 to to IN 63372 521 27 the the DT 63372 521 28 earth earth NN 63372 521 29 , , , 63372 521 30 with with IN 63372 521 31 its -PRON- PRP$ 63372 521 32 origin origin NN 63372 521 33 O o UH 63372 521 34 at at IN 63372 521 35 the the DT 63372 521 36 earth earth NN 63372 521 37 's 's POS 63372 521 38 center center NN 63372 521 39 if if IN 63372 521 40 our -PRON- PRP$ 63372 521 41 investigation investigation NN 63372 521 42 covers cover VBZ 63372 521 43 the the DT 63372 521 44 entire entire JJ 63372 521 45 globe globe NN 63372 521 46 and and CC 63372 521 47 at at IN 63372 521 48 some some DT 63372 521 49 more more RBR 63372 521 50 convenient convenient JJ 63372 521 51 point point NN 63372 521 52 if if IN 63372 521 53 it -PRON- PRP 63372 521 54 does do VBZ 63372 521 55 not not RB 63372 521 56 , , , 63372 521 57 and and CC 63372 521 58 in in IN 63372 521 59 either either DT 63372 521 60 event event NN 63372 521 61 accompanying accompany VBG 63372 521 62 the the DT 63372 521 63 earth earth NN 63372 521 64 in in IN 63372 521 65 its -PRON- PRP$ 63372 521 66 rotation rotation NN 63372 521 67 and and CC 63372 521 68 revolution revolution NN 63372 521 69 . . . 63372 522 1 But but CC 63372 522 2 such such PDT 63372 522 3 a a DT 63372 522 4 framework framework NN 63372 522 5 , , , 63372 522 6 as as RB 63372 522 7 well well RB 63372 522 8 as as IN 63372 522 9 the the DT 63372 522 10 one one NN 63372 522 11 attached attach VBN 63372 522 12 to to IN 63372 522 13 the the DT 63372 522 14 fixed fix VBN 63372 522 15 stars star NNS 63372 522 16 , , , 63372 522 17 would would MD 63372 522 18 be be VB 63372 522 19 highly highly RB 63372 522 20 inconvenient inconvenient JJ 63372 522 21 for for IN 63372 522 22 an an DT 63372 522 23 investigator investigator NN 63372 522 24 of of IN 63372 522 25 the the DT 63372 522 26 motions motion NNS 63372 522 27 of of IN 63372 522 28 the the DT 63372 522 29 planets planet NNS 63372 522 30 ; ; : 63372 522 31 he -PRON- PRP 63372 522 32 would would MD 63372 522 33 doubtless doubtless RB 63372 522 34 attach attach VB 63372 522 35 his -PRON- PRP$ 63372 522 36 reference reference NN 63372 522 37 frame frame NN 63372 522 38 to to IN 63372 522 39 the the DT 63372 522 40 sun sun NN 63372 522 41 . . . 63372 523 1 ] ] -RRB- 63372 523 2 101 101 CD 63372 523 3 [ [ -LRB- 63372 523 4 In in IN 63372 523 5 this this DT 63372 523 6 connection connection NN 63372 523 7 a a DT 63372 523 8 vital vital JJ 63372 523 9 question question NN 63372 523 10 suggests suggest VBZ 63372 523 11 itself -PRON- PRP 63372 523 12 . . . 63372 524 1 Is be VBZ 63372 524 2 the the DT 63372 524 3 expression expression NN 63372 524 4 of of IN 63372 524 5 natural natural JJ 63372 524 6 law law NN 63372 524 7 independent independent JJ 63372 524 8 of of IN 63372 524 9 or or CC 63372 524 10 dependent dependent JJ 63372 524 11 upon upon IN 63372 524 12 the the DT 63372 524 13 choice choice NN 63372 524 14 of of IN 63372 524 15 a a DT 63372 524 16 system system NN 63372 524 17 of of IN 63372 524 18 coordinates coordinate NNS 63372 524 19 ? ? . 63372 525 1 And and CC 63372 525 2 to to IN 63372 525 3 what what WDT 63372 525 4 extent extent NN 63372 525 5 shall shall MD 63372 525 6 we -PRON- PRP 63372 525 7 be be VB 63372 525 8 able able JJ 63372 525 9 to to TO 63372 525 10 reconcile reconcile VB 63372 525 11 the the DT 63372 525 12 results result NNS 63372 525 13 of of IN 63372 525 14 one one CD 63372 525 15 observer observer NN 63372 525 16 using use VBG 63372 525 17 one one CD 63372 525 18 reference reference NN 63372 525 19 frame frame NN 63372 525 20 , , , 63372 525 21 and and CC 63372 525 22 a a DT 63372 525 23 second second JJ 63372 525 24 observer observer NN 63372 525 25 using use VBG 63372 525 26 a a DT 63372 525 27 different different JJ 63372 525 28 one one CD 63372 525 29 ? ? . 63372 526 1 The the DT 63372 526 2 answer answer NN 63372 526 3 to to IN 63372 526 4 the the DT 63372 526 5 second second JJ 63372 526 6 question question NN 63372 526 7 is be VBZ 63372 526 8 obvious obvious JJ 63372 526 9 . . . 63372 527 1 ] ] -RRB- 63372 527 2 * * NFP 63372 527 3 [ [ -LRB- 63372 527 4 True true JJ 63372 527 5 , , , 63372 527 6 if if IN 63372 527 7 any any DT 63372 527 8 series series NN 63372 527 9 of of IN 63372 527 10 events event NNS 63372 527 11 is be VBZ 63372 527 12 described describe VBN 63372 527 13 using use VBG 63372 527 14 two two CD 63372 527 15 different different JJ 63372 527 16 sets set NNS 63372 527 17 of of IN 63372 527 18 axes axis NNS 63372 527 19 , , , 63372 527 20 the the DT 63372 527 21 descriptions description NNS 63372 527 22 will will MD 63372 527 23 be be VB 63372 527 24 different different JJ 63372 527 25 , , , 63372 527 26 depending depend VBG 63372 527 27 upon upon IN 63372 527 28 the the DT 63372 527 29 time time NN 63372 527 30 system system NN 63372 527 31 adopted adopt VBN 63372 527 32 and and CC 63372 527 33 the the DT 63372 527 34 relative relative JJ 63372 527 35 motion motion NN 63372 527 36 of of IN 63372 527 37 the the DT 63372 527 38 axes axis NNS 63372 527 39 . . . 63372 528 1 But but CC 63372 528 2 if if IN 63372 528 3 the the DT 63372 528 4 connection connection NN 63372 528 5 between between IN 63372 528 6 the the DT 63372 528 7 reference reference NN 63372 528 8 systems system NNS 63372 528 9 is be VBZ 63372 528 10 known know VBN 63372 528 11 , , , 63372 528 12 it -PRON- PRP 63372 528 13 is be VBZ 63372 528 14 possible possible JJ 63372 528 15 by by IN 63372 528 16 mathematical mathematical JJ 63372 528 17 processes process NNS 63372 528 18 to to TO 63372 528 19 deduce deduce VB 63372 528 20 the the DT 63372 528 21 quantities quantity NNS 63372 528 22 observed observe VBN 63372 528 23 in in IN 63372 528 24 one one CD 63372 528 25 system system NN 63372 528 26 if if IN 63372 528 27 those those DT 63372 528 28 observed observe VBN 63372 528 29 in in IN 63372 528 30 the the DT 63372 528 31 other other JJ 63372 528 32 are be VBP 63372 528 33 known know VBN 63372 528 34 . . . 63372 529 1 ] ] -RRB- 63372 529 2 35 35 CD 63372 529 3 [ [ -LRB- 63372 529 4 This this DT 63372 529 5 process process NN 63372 529 6 of of IN 63372 529 7 translating translate VBG 63372 529 8 the the DT 63372 529 9 results result NNS 63372 529 10 of of IN 63372 529 11 one one CD 63372 529 12 observer observer NN 63372 529 13 into into IN 63372 529 14 those those DT 63372 529 15 of of IN 63372 529 16 another another DT 63372 529 17 is be VBZ 63372 529 18 known know VBN 63372 529 19 as as IN 63372 529 20 a a DT 63372 529 21 transformation transformation NN 63372 529 22 ; ; : 63372 529 23 and and CC 63372 529 24 the the DT 63372 529 25 mathematical mathematical JJ 63372 529 26 statement statement NN 63372 529 27 of of IN 63372 529 28 the the DT 63372 529 29 rule rule NN 63372 529 30 governing govern VBG 63372 529 31 the the DT 63372 529 32 transformation transformation NN 63372 529 33 is be VBZ 63372 529 34 called call VBN 63372 529 35 the the DT 63372 529 36 equation equation NN 63372 529 37 or or CC 63372 529 38 the the DT 63372 529 39 equations equation NNS 63372 529 40 ( ( -LRB- 63372 529 41 there there EX 63372 529 42 are be VBP 63372 529 43 usually usually RB 63372 529 44 several several JJ 63372 529 45 of of IN 63372 529 46 them -PRON- PRP 63372 529 47 ) ) -RRB- 63372 529 48 of of IN 63372 529 49 the the DT 63372 529 50 transformation transformation NN 63372 529 51 . . . 63372 530 1 ] ] -RRB- 63372 530 2 * * NFP 63372 530 3 [ [ -LRB- 63372 530 4 Transformations transformation NNS 63372 530 5 of of IN 63372 530 6 this this DT 63372 530 7 character character NN 63372 530 8 constitute constitute VBP 63372 530 9 a a DT 63372 530 10 well well RB 63372 530 11 - - HYPH 63372 530 12 developed develop VBN 63372 530 13 branch branch NN 63372 530 14 of of IN 63372 530 15 mathematics mathematic NNS 63372 530 16 . . . 63372 531 1 ] ] -RRB- 63372 531 2 35 35 CD 63372 531 3 [ [ -LRB- 63372 531 4 When when WRB 63372 531 5 we -PRON- PRP 63372 531 6 inquire inquire VBP 63372 531 7 about about IN 63372 531 8 the the DT 63372 531 9 invariance invariance NN 63372 531 10 of of IN 63372 531 11 natural natural JJ 63372 531 12 law law NN 63372 531 13 it -PRON- PRP 63372 531 14 is be VBZ 63372 531 15 necessary necessary JJ 63372 531 16 to to TO 63372 531 17 be be VB 63372 531 18 rather rather RB 63372 531 19 sure sure JJ 63372 531 20 of of IN 63372 531 21 just just RB 63372 531 22 what what WP 63372 531 23 we -PRON- PRP 63372 531 24 mean mean VBP 63372 531 25 by by IN 63372 531 26 this this DT 63372 531 27 expression expression NN 63372 531 28 . . . 63372 532 1 The the DT 63372 532 2 statement statement NN 63372 532 3 that that IN 63372 532 4 a a DT 63372 532 5 given give VBN 63372 532 6 body body NN 63372 532 7 is be VBZ 63372 532 8 moving move VBG 63372 532 9 with with IN 63372 532 10 a a DT 63372 532 11 velocity velocity NN 63372 532 12 of of IN 63372 532 13 75 75 CD 63372 532 14 miles mile NNS 63372 532 15 per per IN 63372 532 16 hour hour NN 63372 532 17 is be VBZ 63372 532 18 of of IN 63372 532 19 course course NN 63372 532 20 not not RB 63372 532 21 a a DT 63372 532 22 natural natural JJ 63372 532 23 law law NN 63372 532 24 ; ; : 63372 532 25 it -PRON- PRP 63372 532 26 is be VBZ 63372 532 27 a a DT 63372 532 28 mere mere JJ 63372 532 29 numerical numerical JJ 63372 532 30 observation observation NN 63372 532 31 . . . 63372 533 1 But but CC 63372 533 2 aside aside RB 63372 533 3 from from IN 63372 533 4 such such JJ 63372 533 5 numerical numerical JJ 63372 533 6 results result NNS 63372 533 7 , , , 63372 533 8 we -PRON- PRP 63372 533 9 have have VBP 63372 533 10 a a DT 63372 533 11 large large JJ 63372 533 12 number number NN 63372 533 13 of of IN 63372 533 14 mathematical mathematical JJ 63372 533 15 relations relation NNS 63372 533 16 which which WDT 63372 533 17 give give VBP 63372 533 18 us -PRON- PRP 63372 533 19 a a DT 63372 533 20 more more RBR 63372 533 21 or or CC 63372 533 22 less less RBR 63372 533 23 general general JJ 63372 533 24 statement statement NN 63372 533 25 of of IN 63372 533 26 the the DT 63372 533 27 relations relation NNS 63372 533 28 that that WDT 63372 533 29 exist exist VBP 63372 533 30 between between IN 63372 533 31 velocities velocity NNS 63372 533 32 , , , 63372 533 33 accelerations acceleration NNS 63372 533 34 , , , 63372 533 35 masses masse NNS 63372 533 36 , , , 63372 533 37 forces force NNS 63372 533 38 , , , 63372 533 39 times time NNS 63372 533 40 , , , 63372 533 41 lengths length NNS 63372 533 42 , , , 63372 533 43 temperatures temperature NNS 63372 533 44 , , , 63372 533 45 pressures pressure NNS 63372 533 46 , , , 63372 533 47 etc etc FW 63372 533 48 . . FW 63372 533 49 , , , 63372 533 50 etc etc FW 63372 533 51 . . . 63372 534 1 There there EX 63372 534 2 are be VBP 63372 534 3 some some DT 63372 534 4 of of IN 63372 534 5 these these DT 63372 534 6 which which WDT 63372 534 7 we -PRON- PRP 63372 534 8 would would MD 63372 534 9 be be VB 63372 534 10 prepared prepare VBN 63372 534 11 to to IN 63372 534 12 state state NN 63372 534 13 at at RB 63372 534 14 once once RB 63372 534 15 as as RB 63372 534 16 universally universally RB 63372 534 17 valid valid JJ 63372 534 18 -- -- : 63372 534 19 distance distance NN 63372 534 20 travelled travel VBD 63372 534 21 equals equal VBZ 63372 534 22 velocity velocity NN 63372 534 23 multiplied multiply VBN 63372 534 24 by by IN 63372 534 25 time time NN 63372 534 26 , , , 63372 534 27 for for IN 63372 534 28 instance instance NN 63372 534 29 . . . 63372 535 1 We -PRON- PRP 63372 535 2 do do VBP 63372 535 3 not not RB 63372 535 4 believe believe VB 63372 535 5 that that IN 63372 535 6 any any DT 63372 535 7 conceivable conceivable JJ 63372 535 8 change change NN 63372 535 9 of of IN 63372 535 10 reference reference NN 63372 535 11 systems system NNS 63372 535 12 could could MD 63372 535 13 bring bring VB 63372 535 14 about about RP 63372 535 15 a a DT 63372 535 16 condition condition NN 63372 535 17 in in IN 63372 535 18 which which WDT 63372 535 19 the the DT 63372 535 20 product product NN 63372 535 21 of of IN 63372 535 22 velocity velocity NN 63372 535 23 and and CC 63372 535 24 time time NN 63372 535 25 , , , 63372 535 26 as as IN 63372 535 27 measured measure VBN 63372 535 28 from from IN 63372 535 29 a a DT 63372 535 30 certain certain JJ 63372 535 31 framework framework NN 63372 535 32 , , , 63372 535 33 would would MD 63372 535 34 fail fail VB 63372 535 35 to to TO 63372 535 36 equal equal VB 63372 535 37 distance distance NN 63372 535 38 as as IN 63372 535 39 measured measure VBN 63372 535 40 from from IN 63372 535 41 this this DT 63372 535 42 same same JJ 63372 535 43 framework framework NN 63372 535 44 . . . 63372 536 1 There there EX 63372 536 2 are be VBP 63372 536 3 other other JJ 63372 536 4 relations relation NNS 63372 536 5 more more RBR 63372 536 6 or or CC 63372 536 7 less less JJR 63372 536 8 of of IN 63372 536 9 the the DT 63372 536 10 same same JJ 63372 536 11 sort sort NN 63372 536 12 which which WDT 63372 536 13 we -PRON- PRP 63372 536 14 probably probably RB 63372 536 15 believe believe VBP 63372 536 16 to to TO 63372 536 17 be be VB 63372 536 18 in in IN 63372 536 19 the the DT 63372 536 20 same same JJ 63372 536 21 invariant invariant JJ 63372 536 22 category category NN 63372 536 23 ; ; : 63372 536 24 there there EX 63372 536 25 are be VBP 63372 536 26 others other NNS 63372 536 27 , , , 63372 536 28 perhaps perhaps RB 63372 536 29 , , , 63372 536 30 of of IN 63372 536 31 which which WDT 63372 536 32 we -PRON- PRP 63372 536 33 might may MD 63372 536 34 be be VB 63372 536 35 doubtful doubtful JJ 63372 536 36 ; ; : 63372 536 37 and and CC 63372 536 38 presumably presumably RB 63372 536 39 there there EX 63372 536 40 are be VBP 63372 536 41 still still RB 63372 536 42 others other NNS 63372 536 43 which which WDT 63372 536 44 we -PRON- PRP 63372 536 45 should should MD 63372 536 46 suspect suspect VB 63372 536 47 of of IN 63372 536 48 restricted restricted JJ 63372 536 49 validity validity NN 63372 536 50 , , , 63372 536 51 holding hold VBG 63372 536 52 in in IN 63372 536 53 certain certain JJ 63372 536 54 reference reference NN 63372 536 55 systems system NNS 63372 536 56 only only RB 63372 536 57 and and CC 63372 536 58 not not RB 63372 536 59 in in IN 63372 536 60 others other NNS 63372 536 61 . . . 63372 537 1 The the DT 63372 537 2 question question NN 63372 537 3 of of IN 63372 537 4 invariance invariance NN 63372 537 5 of of IN 63372 537 6 natural natural JJ 63372 537 7 law law NN 63372 537 8 , , , 63372 537 9 then then RB 63372 537 10 , , , 63372 537 11 may may MD 63372 537 12 turn turn VB 63372 537 13 out out RP 63372 537 14 to to TO 63372 537 15 be be VB 63372 537 16 one one CD 63372 537 17 which which WDT 63372 537 18 may may MD 63372 537 19 be be VB 63372 537 20 answered answer VBN 63372 537 21 in in IN 63372 537 22 the the DT 63372 537 23 large large JJ 63372 537 24 by by IN 63372 537 25 a a DT 63372 537 26 single single JJ 63372 537 27 statement statement NN 63372 537 28 ; ; : 63372 537 29 it -PRON- PRP 63372 537 30 may may MD 63372 537 31 equally equally RB 63372 537 32 turn turn VB 63372 537 33 out out RP 63372 537 34 to to TO 63372 537 35 be be VB 63372 537 36 one one NN 63372 537 37 that that WDT 63372 537 38 has have VBZ 63372 537 39 to to TO 63372 537 40 be be VB 63372 537 41 answered answer VBN 63372 537 42 in in IN 63372 537 43 the the DT 63372 537 44 small small JJ 63372 537 45 , , , 63372 537 46 by by IN 63372 537 47 considering consider VBG 63372 537 48 particular particular JJ 63372 537 49 laws law NNS 63372 537 50 in in IN 63372 537 51 connection connection NN 63372 537 52 with with IN 63372 537 53 particular particular JJ 63372 537 54 transformations transformation NNS 63372 537 55 between between IN 63372 537 56 particular particular JJ 63372 537 57 reference reference NN 63372 537 58 systems system NNS 63372 537 59 . . . 63372 538 1 Or or CC 63372 538 2 , , , 63372 538 3 perhaps perhaps RB 63372 538 4 , , , 63372 538 5 we -PRON- PRP 63372 538 6 may may MD 63372 538 7 find find VB 63372 538 8 ourselves -PRON- PRP 63372 538 9 justified justify VBN 63372 538 10 in in IN 63372 538 11 taking take VBG 63372 538 12 the the DT 63372 538 13 stand stand NN 63372 538 14 that that IN 63372 538 15 an an DT 63372 538 16 alleged alleged JJ 63372 538 17 " " `` 63372 538 18 law law NN 63372 538 19 of of IN 63372 538 20 nature nature NN 63372 538 21 " " '' 63372 538 22 is be VBZ 63372 538 23 truly truly RB 63372 538 24 such such PDT 63372 538 25 a a DT 63372 538 26 law law NN 63372 538 27 only only RB 63372 538 28 in in IN 63372 538 29 the the DT 63372 538 30 event event NN 63372 538 31 that that IN 63372 538 32 it -PRON- PRP 63372 538 33 is be VBZ 63372 538 34 independent independent JJ 63372 538 35 of of IN 63372 538 36 the the DT 63372 538 37 change change NN 63372 538 38 from from IN 63372 538 39 one one CD 63372 538 40 reference reference NN 63372 538 41 system system NN 63372 538 42 to to IN 63372 538 43 another another DT 63372 538 44 . . . 63372 539 1 In in IN 63372 539 2 any any DT 63372 539 3 event event NN 63372 539 4 , , , 63372 539 5 the the DT 63372 539 6 question question NN 63372 539 7 may may MD 63372 539 8 be be VB 63372 539 9 formulated formulate VBN 63372 539 10 as as IN 63372 539 11 follows follow VBZ 63372 539 12 : : : 63372 539 13 Observer Observer NNP 63372 539 14 A A NNP 63372 539 15 , , , 63372 539 16 using use VBG 63372 539 17 the the DT 63372 539 18 reference reference NN 63372 539 19 system system NN 63372 539 20 R r NN 63372 539 21 , , , 63372 539 22 measures measure VBZ 63372 539 23 certain certain JJ 63372 539 24 quantities quantity NNS 63372 539 25 $ $ $ 63372 539 26 t$ t$ NNP 63372 539 27 , , , 63372 539 28 $ $ $ 63372 539 29 w$ w$ NNP 63372 539 30 , , , 63372 539 31 $ $ $ 63372 539 32 x$ x$ NNP 63372 539 33 , , , 63372 539 34 $ $ $ 63372 539 35 y$ y$ NNP 63372 539 36 , , , 63372 539 37 $ $ $ 63372 539 38 z$. z$. CD 63372 540 1 Observer Observer NNP 63372 540 2 B B NNP 63372 540 3 , , , 63372 540 4 using use VBG 63372 540 5 the the DT 63372 540 6 reference reference NN 63372 540 7 system system NN 63372 540 8 S s NN 63372 540 9 , , , 63372 540 10 measures measure VBZ 63372 540 11 the the DT 63372 540 12 same same JJ 63372 540 13 items item NNS 63372 540 14 and and CC 63372 540 15 gets get VBZ 63372 540 16 the the DT 63372 540 17 values value NNS 63372 540 18 $ $ $ 63372 540 19 t'$ t'$ RB 63372 540 20 , , , 63372 540 21 $ $ $ 63372 540 22 w'$ w'$ NNP 63372 540 23 , , , 63372 540 24 $ $ $ 63372 540 25 x'$ x'$ NNP 63372 540 26 , , , 63372 540 27 $ $ $ 63372 540 28 y'$ y'$ UH 63372 540 29 , , , 63372 540 30 $ $ $ 63372 540 31 z'$. z'$. NN 63372 541 1 The the DT 63372 541 2 appropriate appropriate JJ 63372 541 3 transformation transformation NN 63372 541 4 equations equation NNS 63372 541 5 for for IN 63372 541 6 calculating calculate VBG 63372 541 7 the the DT 63372 541 8 one one CD 63372 541 9 set set NN 63372 541 10 of of IN 63372 541 11 values value NNS 63372 541 12 from from IN 63372 541 13 the the DT 63372 541 14 other other JJ 63372 541 15 is be VBZ 63372 541 16 found find VBN 63372 541 17 . . . 63372 542 1 If if IN 63372 542 2 a a DT 63372 542 3 mathematical mathematical JJ 63372 542 4 relation relation NN 63372 542 5 of of IN 63372 542 6 any any DT 63372 542 7 sort sort NN 63372 542 8 is be VBZ 63372 542 9 found find VBN 63372 542 10 to to TO 63372 542 11 exist exist VB 63372 542 12 between between IN 63372 542 13 the the DT 63372 542 14 values value NNS 63372 542 15 $ $ $ 63372 542 16 t$ t$ NNP 63372 542 17 , , , 63372 542 18 $ $ $ 63372 542 19 w$ w$ NNP 63372 542 20 , , , 63372 542 21 $ $ $ 63372 542 22 x$ x$ NNP 63372 542 23 , , , 63372 542 24 $ $ $ 63372 542 25 y$ y$ NNP 63372 542 26 , , , 63372 542 27 $ $ $ 63372 542 28 z$ z$ NNP 63372 542 29 , , , 63372 542 30 will will MD 63372 542 31 the the DT 63372 542 32 same same JJ 63372 542 33 relation relation NN 63372 542 34 exist exist VBP 63372 542 35 between between IN 63372 542 36 the the DT 63372 542 37 values value NNS 63372 542 38 $ $ $ 63372 542 39 t'$ t'$ RB 63372 542 40 , , , 63372 542 41 $ $ $ 63372 542 42 w'$ w'$ NNP 63372 542 43 , , , 63372 542 44 $ $ $ 63372 542 45 x'$ x'$ NNP 63372 542 46 , , , 63372 542 47 $ $ $ 63372 542 48 y'$ y'$ UH 63372 542 49 , , , 63372 542 50 $ $ $ 63372 542 51 z'$ z'$ NNS 63372 542 52 ? ? . 63372 543 1 If if IN 63372 543 2 it -PRON- PRP 63372 543 3 does do VBZ 63372 543 4 not not RB 63372 543 5 , , , 63372 543 6 are be VBP 63372 543 7 we -PRON- PRP 63372 543 8 justified justify VBN 63372 543 9 in in IN 63372 543 10 still still RB 63372 543 11 calling call VBG 63372 543 12 it -PRON- PRP 63372 543 13 a a DT 63372 543 14 law law NN 63372 543 15 of of IN 63372 543 16 nature nature NN 63372 543 17 ? ? . 63372 544 1 And and CC 63372 544 2 if if IN 63372 544 3 it -PRON- PRP 63372 544 4 does do VBZ 63372 544 5 not not RB 63372 544 6 , , , 63372 544 7 and and CC 63372 544 8 we -PRON- PRP 63372 544 9 refrain refrain VBP 63372 544 10 from from IN 63372 544 11 calling call VBG 63372 544 12 it -PRON- PRP 63372 544 13 such such PDT 63372 544 14 a a DT 63372 544 15 law law NN 63372 544 16 , , , 63372 544 17 may may MD 63372 544 18 we -PRON- PRP 63372 544 19 expect expect VB 63372 544 20 in in IN 63372 544 21 every every DT 63372 544 22 case case NN 63372 544 23 to to TO 63372 544 24 find find VB 63372 544 25 some some DT 63372 544 26 relation relation NN 63372 544 27 that that WDT 63372 544 28 will will MD 63372 544 29 be be VB 63372 544 30 invariant invariant JJ 63372 544 31 under under IN 63372 544 32 the the DT 63372 544 33 transformation transformation NN 63372 544 34 , , , 63372 544 35 and and CC 63372 544 36 that that DT 63372 544 37 may may MD 63372 544 38 therefore therefore RB 63372 544 39 be be VB 63372 544 40 recognized recognize VBN 63372 544 41 as as IN 63372 544 42 the the DT 63372 544 43 natural natural JJ 63372 544 44 law law NN 63372 544 45 connecting connect VBG 63372 544 46 $ $ $ 63372 544 47 t$ t$ NNP 63372 544 48 , , , 63372 544 49 $ $ $ 63372 544 50 w$ w$ NNP 63372 544 51 , , , 63372 544 52 $ $ $ 63372 544 53 x$ x$ NNP 63372 544 54 , , , 63372 544 55 $ $ $ 63372 544 56 y$ y$ NNP 63372 544 57 and and CC 63372 544 58 $ $ $ 63372 544 59 z$ z$ NNP 63372 544 60 ? ? . 63372 545 1 I -PRON- PRP 63372 545 2 have have VBP 63372 545 3 found find VBN 63372 545 4 it -PRON- PRP 63372 545 5 advisable advisable JJ 63372 545 6 to to TO 63372 545 7 discuss discuss VB 63372 545 8 this this DT 63372 545 9 point point NN 63372 545 10 in in IN 63372 545 11 such such JJ 63372 545 12 detail detail NN 63372 545 13 because because IN 63372 545 14 here here RB 63372 545 15 more more JJR 63372 545 16 than than IN 63372 545 17 in in IN 63372 545 18 any any DT 63372 545 19 other other JJ 63372 545 20 single single JJ 63372 545 21 place place NN 63372 545 22 the the DT 63372 545 23 competing compete VBG 63372 545 24 essayists essayist NNS 63372 545 25 betray betray VBP 63372 545 26 uncertainty uncertainty NN 63372 545 27 of of IN 63372 545 28 thought thought NN 63372 545 29 and and CC 63372 545 30 sloppiness sloppiness NN 63372 545 31 of of IN 63372 545 32 expression expression NN 63372 545 33 . . . 63372 546 1 It -PRON- PRP 63372 546 2 does do VBZ 63372 546 3 n't not RB 63372 546 4 amount amount VB 63372 546 5 to to IN 63372 546 6 much much JJ 63372 546 7 to to TO 63372 546 8 talk talk VB 63372 546 9 about about IN 63372 546 10 the the DT 63372 546 11 invariance invariance NN 63372 546 12 of of IN 63372 546 13 natural natural JJ 63372 546 14 laws law NNS 63372 546 15 and and CC 63372 546 16 their -PRON- PRP$ 63372 546 17 persistence persistence NN 63372 546 18 as as IN 63372 546 19 we -PRON- PRP 63372 546 20 pass pass VBP 63372 546 21 from from IN 63372 546 22 one one CD 63372 546 23 coordinate coordinate JJ 63372 546 24 system system NN 63372 546 25 to to IN 63372 546 26 another another DT 63372 546 27 , , , 63372 546 28 unless unless IN 63372 546 29 we -PRON- PRP 63372 546 30 are be VBP 63372 546 31 fairly fairly RB 63372 546 32 well well RB 63372 546 33 fortified fortify VBN 63372 546 34 with with IN 63372 546 35 respect respect NN 63372 546 36 to to IN 63372 546 37 just just RB 63372 546 38 what what WP 63372 546 39 we -PRON- PRP 63372 546 40 mean mean VBP 63372 546 41 by by IN 63372 546 42 invariance invariance NN 63372 546 43 and and CC 63372 546 44 by by IN 63372 546 45 natural natural JJ 63372 546 46 law law NN 63372 546 47 . . . 63372 547 1 We -PRON- PRP 63372 547 2 do do VBP 63372 547 3 n't not RB 63372 547 4 expect expect VB 63372 547 5 the the DT 63372 547 6 velocity velocity NN 63372 547 7 of of IN 63372 547 8 a a DT 63372 547 9 train train NN 63372 547 10 to to TO 63372 547 11 be be VB 63372 547 12 60 60 CD 63372 547 13 miles mile NNS 63372 547 14 per per IN 63372 547 15 hour hour NN 63372 547 16 alike alike RB 63372 547 17 when when WRB 63372 547 18 we -PRON- PRP 63372 547 19 measure measure VBP 63372 547 20 it -PRON- PRP 63372 547 21 with with IN 63372 547 22 respect respect NN 63372 547 23 to to IN 63372 547 24 a a DT 63372 547 25 signal signal NN 63372 547 26 tower tower NN 63372 547 27 along along IN 63372 547 28 the the DT 63372 547 29 line line NN 63372 547 30 and and CC 63372 547 31 with with IN 63372 547 32 respect respect NN 63372 547 33 to to IN 63372 547 34 a a DT 63372 547 35 moving move VBG 63372 547 36 train train NN 63372 547 37 on on IN 63372 547 38 the the DT 63372 547 39 other other JJ 63372 547 40 track track NN 63372 547 41 . . . 63372 548 1 We -PRON- PRP 63372 548 2 do do VBP 63372 548 3 n't not RB 63372 548 4 expect expect VB 63372 548 5 the the DT 63372 548 6 angular angular JJ 63372 548 7 displacement displacement NN 63372 548 8 of of IN 63372 548 9 Mars Mars NNP 63372 548 10 to to TO 63372 548 11 change change VB 63372 548 12 as as IN 63372 548 13 rapidly rapidly RB 63372 548 14 when when WRB 63372 548 15 he -PRON- PRP 63372 548 16 is be VBZ 63372 548 17 on on IN 63372 548 18 the the DT 63372 548 19 other other JJ 63372 548 20 side side NN 63372 548 21 of of IN 63372 548 22 the the DT 63372 548 23 sun sun NN 63372 548 24 as as IN 63372 548 25 when when WRB 63372 548 26 he -PRON- PRP 63372 548 27 is be VBZ 63372 548 28 on on IN 63372 548 29 our -PRON- PRP$ 63372 548 30 side side NN 63372 548 31 . . . 63372 549 1 But but CC 63372 549 2 we -PRON- PRP 63372 549 3 do do VBP 63372 549 4 , , , 63372 549 5 I -PRON- PRP 63372 549 6 think think VBP 63372 549 7 , , , 63372 549 8 rather rather RB 63372 549 9 expect expect VBP 63372 549 10 that that IN 63372 549 11 in in IN 63372 549 12 any any DT 63372 549 13 phenomenon phenomenon NN 63372 549 14 which which WDT 63372 549 15 we -PRON- PRP 63372 549 16 may may MD 63372 549 17 observe observe VB 63372 549 18 , , , 63372 549 19 we -PRON- PRP 63372 549 20 shall shall MD 63372 549 21 find find VB 63372 549 22 a a DT 63372 549 23 natural natural JJ 63372 549 24 law law NN 63372 549 25 of of IN 63372 549 26 some some DT 63372 549 27 sort sort NN 63372 549 28 which which WDT 63372 549 29 is be VBZ 63372 549 30 dependent dependent JJ 63372 549 31 for for IN 63372 549 32 its -PRON- PRP$ 63372 549 33 validity validity NN 63372 549 34 neither neither CC 63372 549 35 upon upon IN 63372 549 36 the the DT 63372 549 37 units unit NNS 63372 549 38 we -PRON- PRP 63372 549 39 employ employ VBP 63372 549 40 , , , 63372 549 41 nor nor CC 63372 549 42 the the DT 63372 549 43 place place NN 63372 549 44 from from IN 63372 549 45 which which WDT 63372 549 46 we -PRON- PRP 63372 549 47 make make VBP 63372 549 48 our -PRON- PRP$ 63372 549 49 measurements measurement NNS 63372 549 50 , , , 63372 549 51 nor nor CC 63372 549 52 anything anything NN 63372 549 53 else else RB 63372 549 54 external external JJ 63372 549 55 to to IN 63372 549 56 the the DT 63372 549 57 phenomenon phenomenon NN 63372 549 58 itself -PRON- PRP 63372 549 59 . . . 63372 550 1 We -PRON- PRP 63372 550 2 shall shall MD 63372 550 3 see see VB 63372 550 4 , , , 63372 550 5 later later RB 63372 550 6 , , , 63372 550 7 whether whether IN 63372 550 8 this this DT 63372 550 9 expectation expectation NN 63372 550 10 is be VBZ 63372 550 11 justified justify VBN 63372 550 12 , , , 63372 550 13 or or CC 63372 550 14 whether whether IN 63372 550 15 it -PRON- PRP 63372 550 16 will will MD 63372 550 17 have have VB 63372 550 18 to to TO 63372 550 19 be be VB 63372 550 20 discarded discard VBN 63372 550 21 in in IN 63372 550 22 the the DT 63372 550 23 final final JJ 63372 550 24 unravelling unravelling NN 63372 550 25 of of IN 63372 550 26 the the DT 63372 550 27 absolutist absolutist NN 63372 550 28 from from IN 63372 550 29 the the DT 63372 550 30 relativistic relativistic JJ 63372 550 31 philosophy philosophy NN 63372 550 32 which which WDT 63372 550 33 , , , 63372 550 34 with with IN 63372 550 35 Einstein Einstein NNP 63372 550 36 , , , 63372 550 37 we -PRON- PRP 63372 550 38 are be VBP 63372 550 39 to to TO 63372 550 40 undertake undertake VB 63372 550 41 . . . 63372 551 1 ] ] -RRB- 63372 551 2 * * NFP 63372 551 3 III iii CD 63372 551 4 THE the DT 63372 551 5 RELATIVITY RELATIVITY NNP 63372 551 6 OF of IN 63372 551 7 UNIFORM UNIFORM NNP 63372 551 8 MOTION MOTION NNP 63372 551 9 Classical Classical NNP 63372 551 10 Ideas Ideas NNP 63372 551 11 on on IN 63372 551 12 the the DT 63372 551 13 Subject subject NN 63372 551 14 ; ; : 63372 551 15 the the DT 63372 551 16 Ether Ether NNP 63372 551 17 and and CC 63372 551 18 the the DT 63372 551 19 Apparent Apparent NNP 63372 551 20 Possibility Possibility NNP 63372 551 21 of of IN 63372 551 22 Absolute Absolute NNP 63372 551 23 Motion Motion NNP 63372 551 24 ; ; : 63372 551 25 the the DT 63372 551 26 Michelson Michelson NNP 63372 551 27 - - HYPH 63372 551 28 Morley Morley NNP 63372 551 29 Experiment Experiment NNP 63372 551 30 and and CC 63372 551 31 the the DT 63372 551 32 Final Final NNP 63372 551 33 Negation Negation NNP 63372 551 34 of of IN 63372 551 35 This this DT 63372 551 36 Possibility Possibility NNP 63372 551 37 BY by IN 63372 551 38 VARIOUS VARIOUS NNP 63372 551 39 CONTRIBUTORS CONTRIBUTORS NNP 63372 551 40 AND and CC 63372 551 41 THE the DT 63372 551 42 EDITOR EDITOR NNP 63372 551 43 When when WRB 63372 551 44 we -PRON- PRP 63372 551 45 speak speak VBP 63372 551 46 of of IN 63372 551 47 a a DT 63372 551 48 body body NN 63372 551 49 as as IN 63372 551 50 being be VBG 63372 551 51 " " `` 63372 551 52 in in IN 63372 551 53 motion motion NN 63372 551 54 , , , 63372 551 55 " " '' 63372 551 56 we -PRON- PRP 63372 551 57 mean mean VBP 63372 551 58 that that IN 63372 551 59 this this DT 63372 551 60 body body NN 63372 551 61 is be VBZ 63372 551 62 changing change VBG 63372 551 63 its -PRON- PRP$ 63372 551 64 position position NN 63372 551 65 " " '' 63372 551 66 in in IN 63372 551 67 space space NN 63372 551 68 . . . 63372 551 69 " " '' 63372 552 1 Now now RB 63372 552 2 it -PRON- PRP 63372 552 3 is be VBZ 63372 552 4 clear clear JJ 63372 552 5 that that IN 63372 552 6 the the DT 63372 552 7 position position NN 63372 552 8 of of IN 63372 552 9 an an DT 63372 552 10 object object NN 63372 552 11 can can MD 63372 552 12 only only RB 63372 552 13 be be VB 63372 552 14 determined determine VBN 63372 552 15 with with IN 63372 552 16 reference reference NN 63372 552 17 to to IN 63372 552 18 other other JJ 63372 552 19 objects object NNS 63372 552 20 : : : 63372 552 21 in in IN 63372 552 22 order order NN 63372 552 23 to to TO 63372 552 24 describe describe VB 63372 552 25 the the DT 63372 552 26 place place NN 63372 552 27 of of IN 63372 552 28 a a DT 63372 552 29 material material JJ 63372 552 30 thing thing NN 63372 552 31 we -PRON- PRP 63372 552 32 must must MD 63372 552 33 , , , 63372 552 34 for for IN 63372 552 35 example example NN 63372 552 36 , , , 63372 552 37 state state VB 63372 552 38 its -PRON- PRP$ 63372 552 39 distances distance NNS 63372 552 40 from from IN 63372 552 41 other other JJ 63372 552 42 things thing NNS 63372 552 43 . . . 63372 553 1 If if IN 63372 553 2 there there EX 63372 553 3 were be VBD 63372 553 4 no no DT 63372 553 5 such such JJ 63372 553 6 bodies body NNS 63372 553 7 of of IN 63372 553 8 reference reference NN 63372 553 9 , , , 63372 553 10 the the DT 63372 553 11 words word NNS 63372 553 12 " " `` 63372 553 13 position position NN 63372 553 14 in in IN 63372 553 15 space space NN 63372 553 16 " " '' 63372 553 17 would would MD 63372 553 18 have have VB 63372 553 19 no no DT 63372 553 20 definite definite JJ 63372 553 21 meaning meaning NN 63372 553 22 for for IN 63372 553 23 us -PRON- PRP 63372 553 24 . . . 63372 554 1 ] ] -RRB- 63372 554 2 24 24 CD 63372 554 3 [ [ -LRB- 63372 554 4 The the DT 63372 554 5 number number NN 63372 554 6 of of IN 63372 554 7 such such JJ 63372 554 8 external external JJ 63372 554 9 bodies body NNS 63372 554 10 of of IN 63372 554 11 reference reference NN 63372 554 12 which which WDT 63372 554 13 it -PRON- PRP 63372 554 14 is be VBZ 63372 554 15 necessary necessary JJ 63372 554 16 to to TO 63372 554 17 cite cite VB 63372 554 18 in in IN 63372 554 19 order order NN 63372 554 20 to to TO 63372 554 21 define define VB 63372 554 22 completely completely RB 63372 554 23 the the DT 63372 554 24 position position NN 63372 554 25 of of IN 63372 554 26 a a DT 63372 554 27 given give VBN 63372 554 28 body body NN 63372 554 29 in in IN 63372 554 30 space space NN 63372 554 31 depends depend VBZ 63372 554 32 upon upon IN 63372 554 33 the the DT 63372 554 34 character character NN 63372 554 35 of of IN 63372 554 36 the the DT 63372 554 37 space space NN 63372 554 38 dealt deal VBD 63372 554 39 with with IN 63372 554 40 . . . 63372 555 1 We -PRON- PRP 63372 555 2 have have VBP 63372 555 3 seen see VBN 63372 555 4 that that IN 63372 555 5 when when WRB 63372 555 6 we -PRON- PRP 63372 555 7 visualize visualize VBP 63372 555 8 the the DT 63372 555 9 space space NN 63372 555 10 of of IN 63372 555 11 our -PRON- PRP$ 63372 555 12 experience experience NN 63372 555 13 as as IN 63372 555 14 a a DT 63372 555 15 surface surface NN 63372 555 16 of of IN 63372 555 17 any any DT 63372 555 18 character character NN 63372 555 19 , , , 63372 555 20 two two CD 63372 555 21 citations citation NNS 63372 555 22 are be VBP 63372 555 23 sufficient sufficient JJ 63372 555 24 ; ; : 63372 555 25 and and CC 63372 555 26 that that IN 63372 555 27 when when WRB 63372 555 28 we -PRON- PRP 63372 555 29 conceive conceive VBP 63372 555 30 of of IN 63372 555 31 it -PRON- PRP 63372 555 32 as as IN 63372 555 33 surrounding surround VBG 63372 555 34 us -PRON- PRP 63372 555 35 in in IN 63372 555 36 three three CD 63372 555 37 dimensions dimension NNS 63372 555 38 we -PRON- PRP 63372 555 39 require require VBP 63372 555 40 three three CD 63372 555 41 . . . 63372 556 1 It -PRON- PRP 63372 556 2 will will MD 63372 556 3 be be VB 63372 556 4 realized realize VBN 63372 556 5 that that IN 63372 556 6 the the DT 63372 556 7 mathematician mathematician NN 63372 556 8 is be VBZ 63372 556 9 merely merely RB 63372 556 10 meeting meet VBG 63372 556 11 this this DT 63372 556 12 requirement requirement NN 63372 556 13 when when WRB 63372 556 14 he -PRON- PRP 63372 556 15 sets set VBZ 63372 556 16 up up RP 63372 556 17 his -PRON- PRP$ 63372 556 18 system system NN 63372 556 19 of of IN 63372 556 20 coordinate coordinate JJ 63372 556 21 axes axis NNS 63372 556 22 to to TO 63372 556 23 serve serve VB 63372 556 24 as as IN 63372 556 25 a a DT 63372 556 26 reference reference NN 63372 556 27 frame frame NN 63372 556 28 . . . 63372 557 1 ] ] -RRB- 63372 557 2 * * NFP 63372 557 3 [ [ -LRB- 63372 557 4 What what WP 63372 557 5 is be VBZ 63372 557 6 true true JJ 63372 557 7 of of IN 63372 557 8 " " `` 63372 557 9 place place NN 63372 557 10 " " '' 63372 557 11 must must MD 63372 557 12 be be VB 63372 557 13 true true JJ 63372 557 14 also also RB 63372 557 15 of of IN 63372 557 16 " " `` 63372 557 17 motion motion NN 63372 557 18 , , , 63372 557 19 " " '' 63372 557 20 since since IN 63372 557 21 the the DT 63372 557 22 latter latter NN 63372 557 23 is be VBZ 63372 557 24 nothing nothing NN 63372 557 25 but but IN 63372 557 26 change change NN 63372 557 27 of of IN 63372 557 28 place place NN 63372 557 29 . . . 63372 558 1 In in IN 63372 558 2 fact fact NN 63372 558 3 , , , 63372 558 4 it -PRON- PRP 63372 558 5 would would MD 63372 558 6 be be VB 63372 558 7 impossible impossible JJ 63372 558 8 to to TO 63372 558 9 ascribe ascribe VB 63372 558 10 a a DT 63372 558 11 state state NN 63372 558 12 of of IN 63372 558 13 motion motion NN 63372 558 14 or or CC 63372 558 15 of of IN 63372 558 16 rest rest NN 63372 558 17 to to IN 63372 558 18 a a DT 63372 558 19 body body NN 63372 558 20 poised poise VBN 63372 558 21 all all RB 63372 558 22 alone alone JJ 63372 558 23 in in IN 63372 558 24 empty empty JJ 63372 558 25 space space NN 63372 558 26 . . . 63372 559 1 Whether whether IN 63372 559 2 a a DT 63372 559 3 body body NN 63372 559 4 is be VBZ 63372 559 5 to to TO 63372 559 6 be be VB 63372 559 7 regarded regard VBN 63372 559 8 as as IN 63372 559 9 resting rest VBG 63372 559 10 or or CC 63372 559 11 as as IN 63372 559 12 moving move VBG 63372 559 13 , , , 63372 559 14 and and CC 63372 559 15 if if IN 63372 559 16 the the DT 63372 559 17 latter latter JJ 63372 559 18 at at IN 63372 559 19 what what WDT 63372 559 20 speed speed NN 63372 559 21 , , , 63372 559 22 depends depend VBZ 63372 559 23 entirely entirely RB 63372 559 24 upon upon IN 63372 559 25 the the DT 63372 559 26 objects object NNS 63372 559 27 to to TO 63372 559 28 which which WDT 63372 559 29 we -PRON- PRP 63372 559 30 refer refer VBP 63372 559 31 its -PRON- PRP$ 63372 559 32 positions position NNS 63372 559 33 in in IN 63372 559 34 space space NN 63372 559 35 . . . 63372 560 1 ] ] -RRB- 63372 560 2 24 24 CD 63372 560 3 [ [ -LRB- 63372 560 4 As as IN 63372 560 5 Einstein Einstein NNP 63372 560 6 sits sit VBZ 63372 560 7 at at IN 63372 560 8 his -PRON- PRP$ 63372 560 9 desk desk NN 63372 560 10 he -PRON- PRP 63372 560 11 appears appear VBZ 63372 560 12 to to IN 63372 560 13 us -PRON- PRP 63372 560 14 to to TO 63372 560 15 be be VB 63372 560 16 at at IN 63372 560 17 rest rest NN 63372 560 18 ; ; : 63372 560 19 but but CC 63372 560 20 we -PRON- PRP 63372 560 21 know know VBP 63372 560 22 that that IN 63372 560 23 he -PRON- PRP 63372 560 24 is be VBZ 63372 560 25 moving move VBG 63372 560 26 with with IN 63372 560 27 the the DT 63372 560 28 rotation rotation NN 63372 560 29 of of IN 63372 560 30 the the DT 63372 560 31 earth earth NN 63372 560 32 on on IN 63372 560 33 its -PRON- PRP$ 63372 560 34 axis axis NN 63372 560 35 , , , 63372 560 36 with with IN 63372 560 37 the the DT 63372 560 38 earth earth NN 63372 560 39 in in IN 63372 560 40 its -PRON- PRP$ 63372 560 41 orbit orbit NN 63372 560 42 about about IN 63372 560 43 the the DT 63372 560 44 sun sun NN 63372 560 45 , , , 63372 560 46 and and CC 63372 560 47 with with IN 63372 560 48 the the DT 63372 560 49 solar solar JJ 63372 560 50 system system NN 63372 560 51 in in IN 63372 560 52 its -PRON- PRP$ 63372 560 53 path path NN 63372 560 54 through through IN 63372 560 55 space space NN 63372 560 56 -- -- : 63372 560 57 a a DT 63372 560 58 complex complex JJ 63372 560 59 motion motion NN 63372 560 60 of of IN 63372 560 61 which which WDT 63372 560 62 the the DT 63372 560 63 parts part NNS 63372 560 64 or or CC 63372 560 65 the the DT 63372 560 66 whole whole NN 63372 560 67 can can MD 63372 560 68 be be VB 63372 560 69 detected detect VBN 63372 560 70 only only RB 63372 560 71 by by IN 63372 560 72 reference reference NN 63372 560 73 to to TO 63372 560 74 appropriately appropriately RB 63372 560 75 chosen choose VBN 63372 560 76 ones one NNS 63372 560 77 of of IN 63372 560 78 the the DT 63372 560 79 heavenly heavenly JJ 63372 560 80 bodies body NNS 63372 560 81 . . . 63372 561 1 No no DT 63372 561 2 mechanical mechanical JJ 63372 561 3 test test NN 63372 561 4 has have VBZ 63372 561 5 ever ever RB 63372 561 6 been be VBN 63372 561 7 devised devise VBN 63372 561 8 which which WDT 63372 561 9 will will MD 63372 561 10 detect detect VB 63372 561 11 this this DT 63372 561 12 motion,]182 motion,]182 CD 63372 561 13 [ [ -LRB- 63372 561 14 if if IN 63372 561 15 we -PRON- PRP 63372 561 16 reserve reserve VBP 63372 561 17 for for IN 63372 561 18 discussion discussion NN 63372 561 19 in in IN 63372 561 20 its -PRON- PRP$ 63372 561 21 proper proper JJ 63372 561 22 place place NN 63372 561 23 the the DT 63372 561 24 Foucault Foucault NNP 63372 561 25 pendulum pendulum NN 63372 561 26 experiment experiment NN 63372 561 27 which which WDT 63372 561 28 will will MD 63372 561 29 reveal reveal VB 63372 561 30 the the DT 63372 561 31 axial axial JJ 63372 561 32 rotation rotation NN 63372 561 33 of of IN 63372 561 34 our -PRON- PRP$ 63372 561 35 globe globe NN 63372 561 36 . . . 63372 562 1 ] ] -RRB- 63372 562 2 * * NFP 63372 562 3 [ [ -LRB- 63372 562 4 No no DT 63372 562 5 savage savage NN 63372 562 6 , , , 63372 562 7 if if IN 63372 562 8 he -PRON- PRP 63372 562 9 were be VBD 63372 562 10 to to TO 63372 562 11 " " `` 63372 562 12 stand stand VB 63372 562 13 still still RB 63372 562 14 , , , 63372 562 15 " " `` 63372 562 16 could could MD 63372 562 17 be be VB 63372 562 18 convinced convince VBN 63372 562 19 that that IN 63372 562 20 he -PRON- PRP 63372 562 21 was be VBD 63372 562 22 moving move VBG 63372 562 23 with with IN 63372 562 24 a a DT 63372 562 25 very very RB 63372 562 26 high high JJ 63372 562 27 velocity velocity NN 63372 562 28 or or CC 63372 562 29 in in IN 63372 562 30 fact fact NN 63372 562 31 that that IN 63372 562 32 he -PRON- PRP 63372 562 33 was be VBD 63372 562 34 moving move VBG 63372 562 35 at at RB 63372 562 36 all all RB 63372 562 37 . . . 63372 563 1 ] ] -RRB- 63372 563 2 30 30 CD 63372 563 3 [ [ -LRB- 63372 563 4 You -PRON- PRP 63372 563 5 drop drop VBP 63372 563 6 a a DT 63372 563 7 coin coin NN 63372 563 8 straight straight RB 63372 563 9 down down IN 63372 563 10 a a DT 63372 563 11 ship ship NN 63372 563 12 's 's POS 63372 563 13 side side NN 63372 563 14 : : : 63372 563 15 from from IN 63372 563 16 the the DT 63372 563 17 land land NN 63372 563 18 its -PRON- PRP$ 63372 563 19 path path NN 63372 563 20 appears appear VBZ 63372 563 21 parabolic parabolic NN 63372 563 22 ; ; : 63372 563 23 to to IN 63372 563 24 a a DT 63372 563 25 polar polar JJ 63372 563 26 onlooker onlooker NN 63372 563 27 it -PRON- PRP 63372 563 28 whirls whirls NNP 63372 563 29 circle circle NN 63372 563 30 - - HYPH 63372 563 31 wise wise RB 63372 563 32 ; ; : 63372 563 33 to to IN 63372 563 34 dwellers dweller NNS 63372 563 35 on on IN 63372 563 36 Mars Mars NNP 63372 563 37 it -PRON- PRP 63372 563 38 darts dart VBZ 63372 563 39 spirally spirally RB 63372 563 40 about about IN 63372 563 41 the the DT 63372 563 42 sun sun NN 63372 563 43 ; ; : 63372 563 44 to to IN 63372 563 45 a a DT 63372 563 46 stellar stellar JJ 63372 563 47 observer observer NN 63372 563 48 it -PRON- PRP 63372 563 49 gyrates gyrate VBZ 63372 563 50 through through IN 63372 563 51 the the DT 63372 563 52 sky]263 sky]263 NNP 63372 563 53 [ [ -LRB- 63372 563 54 in in IN 63372 563 55 a a DT 63372 563 56 path path NN 63372 563 57 of of IN 63372 563 58 many many JJ 63372 563 59 complications complication NNS 63372 563 60 . . . 63372 564 1 To to IN 63372 564 2 you -PRON- PRP 63372 564 3 it -PRON- PRP 63372 564 4 drops drop VBZ 63372 564 5 in in IN 63372 564 6 a a DT 63372 564 7 straight straight JJ 63372 564 8 line line NN 63372 564 9 from from IN 63372 564 10 the the DT 63372 564 11 deck deck NN 63372 564 12 to to IN 63372 564 13 the the DT 63372 564 14 sea sea NN 63372 564 15 . . . 63372 565 1 ] ] -RRB- 63372 565 2 * * NFP 63372 565 3 [ [ -LRB- 63372 565 4 Yet yet CC 63372 565 5 its -PRON- PRP$ 63372 565 6 various various JJ 63372 565 7 tracks track NNS 63372 565 8 in in IN 63372 565 9 ship ship NN 63372 565 10 - - HYPH 63372 565 11 space space NN 63372 565 12 , , , 63372 565 13 sea sea NN 63372 565 14 - - HYPH 63372 565 15 space space NN 63372 565 16 , , , 63372 565 17 earth earth NN 63372 565 18 - - HYPH 63372 565 19 space space NN 63372 565 20 , , , 63372 565 21 sun sun NN 63372 565 22 - - HYPH 63372 565 23 space space NN 63372 565 24 , , , 63372 565 25 star star NN 63372 565 26 - - HYPH 63372 565 27 space space NN 63372 565 28 , , , 63372 565 29 are be VBP 63372 565 30 all all DT 63372 565 31 equally equally RB 63372 565 32 real,]263 real,]263 VB 63372 565 33 [ [ -LRB- 63372 565 34 and and CC 63372 565 35 the the DT 63372 565 36 one one NN 63372 565 37 which which WDT 63372 565 38 will will MD 63372 565 39 be be VB 63372 565 40 singled single VBN 63372 565 41 out out RP 63372 565 42 for for IN 63372 565 43 attention attention NN 63372 565 44 depends depend VBZ 63372 565 45 entirely entirely RB 63372 565 46 upon upon IN 63372 565 47 the the DT 63372 565 48 observer observer NN 63372 565 49 , , , 63372 565 50 and and CC 63372 565 51 the the DT 63372 565 52 objects object NNS 63372 565 53 to to TO 63372 565 54 which which WDT 63372 565 55 he -PRON- PRP 63372 565 56 refers refer VBZ 63372 565 57 the the DT 63372 565 58 motion motion NN 63372 565 59 . . . 63372 566 1 ] ] -RRB- 63372 566 2 * * NFP 63372 566 3 [ [ -LRB- 63372 566 4 The the DT 63372 566 5 earth earth NN 63372 566 6 moves move VBZ 63372 566 7 in in IN 63372 566 8 the the DT 63372 566 9 solar solar JJ 63372 566 10 system system NN 63372 566 11 , , , 63372 566 12 which which WDT 63372 566 13 is be VBZ 63372 566 14 itself -PRON- PRP 63372 566 15 approaching approach VBG 63372 566 16 a a DT 63372 566 17 distant distant JJ 63372 566 18 star star NN 63372 566 19 - - HYPH 63372 566 20 cluster cluster NN 63372 566 21 . . . 63372 567 1 But but CC 63372 567 2 we -PRON- PRP 63372 567 3 can can MD 63372 567 4 not not RB 63372 567 5 say say VB 63372 567 6 whether whether IN 63372 567 7 we -PRON- PRP 63372 567 8 are be VBP 63372 567 9 moving move VBG 63372 567 10 toward toward IN 63372 567 11 the the DT 63372 567 12 cluster cluster NN 63372 567 13 , , , 63372 567 14 or or CC 63372 567 15 the the DT 63372 567 16 cluster cluster NN 63372 567 17 toward toward IN 63372 567 18 us,]18 us,]18 NNP 63372 567 19 [ [ -LRB- 63372 567 20 or or CC 63372 567 21 both both DT 63372 567 22 , , , 63372 567 23 or or CC 63372 567 24 whether whether IN 63372 567 25 we -PRON- PRP 63372 567 26 are be VBP 63372 567 27 conducting conduct VBG 63372 567 28 a a DT 63372 567 29 successful successful JJ 63372 567 30 stern stern JJ 63372 567 31 chase chase NN 63372 567 32 of of IN 63372 567 33 it -PRON- PRP 63372 567 34 , , , 63372 567 35 or or CC 63372 567 36 it -PRON- PRP 63372 567 37 of of IN 63372 567 38 us -PRON- PRP 63372 567 39 , , , 63372 567 40 ] ] -RRB- 63372 567 41 * * NFP 63372 567 42 [ [ -LRB- 63372 567 43 unless unless IN 63372 567 44 we -PRON- PRP 63372 567 45 have have VBP 63372 567 46 in in IN 63372 567 47 mind mind NN 63372 567 48 some some DT 63372 567 49 third third JJ 63372 567 50 body body NN 63372 567 51 with with IN 63372 567 52 reference reference NN 63372 567 53 to to TO 63372 567 54 which which WDT 63372 567 55 the the DT 63372 567 56 motions motion NNS 63372 567 57 of of IN 63372 567 58 earth earth NN 63372 567 59 and and CC 63372 567 60 star star NN 63372 567 61 - - HYPH 63372 567 62 cluster cluster NN 63372 567 63 are be VBP 63372 567 64 measured measure VBN 63372 567 65 . . . 63372 568 1 ] ] -RRB- 63372 568 2 18 18 CD 63372 568 3 [ [ -LRB- 63372 568 4 And and CC 63372 568 5 if if IN 63372 568 6 we -PRON- PRP 63372 568 7 have have VBP 63372 568 8 this this DT 63372 568 9 , , , 63372 568 10 the the DT 63372 568 11 measurements measurement NNS 63372 568 12 made make VBN 63372 568 13 with with IN 63372 568 14 reference reference NN 63372 568 15 to to IN 63372 568 16 it -PRON- PRP 63372 568 17 are be VBP 63372 568 18 of of IN 63372 568 19 significance significance NN 63372 568 20 with with IN 63372 568 21 regard regard NN 63372 568 22 to to IN 63372 568 23 it -PRON- PRP 63372 568 24 , , , 63372 568 25 rather rather RB 63372 568 26 than than IN 63372 568 27 with with IN 63372 568 28 regard regard NN 63372 568 29 to to IN 63372 568 30 the the DT 63372 568 31 earth earth NN 63372 568 32 and and CC 63372 568 33 the the DT 63372 568 34 star star NN 63372 568 35 - - HYPH 63372 568 36 cluster cluster NN 63372 568 37 alone alone RB 63372 568 38 . . . 63372 569 1 ] ] -RRB- 63372 569 2 * * NFP 63372 569 3 [ [ -LRB- 63372 569 4 We -PRON- PRP 63372 569 5 can can MD 63372 569 6 express express VB 63372 569 7 all all PDT 63372 569 8 this this DT 63372 569 9 by by IN 63372 569 10 saying say VBG 63372 569 11 " " `` 63372 569 12 All all DT 63372 569 13 motions motion NNS 63372 569 14 are be VBP 63372 569 15 relative relative JJ 63372 569 16 ; ; : 63372 569 17 there there EX 63372 569 18 is be VBZ 63372 569 19 no no DT 63372 569 20 such such JJ 63372 569 21 thing thing NN 63372 569 22 as as IN 63372 569 23 absolute absolute JJ 63372 569 24 motion motion NN 63372 569 25 . . . 63372 569 26 " " '' 63372 570 1 This this DT 63372 570 2 line line NN 63372 570 3 of of IN 63372 570 4 argument argument NN 63372 570 5 has have VBZ 63372 570 6 in in IN 63372 570 7 fact fact NN 63372 570 8 been be VBN 63372 570 9 followed follow VBN 63372 570 10 by by IN 63372 570 11 many many JJ 63372 570 12 natural natural JJ 63372 570 13 philosophers philosopher NNS 63372 570 14 . . . 63372 571 1 But but CC 63372 571 2 is be VBZ 63372 571 3 its -PRON- PRP$ 63372 571 4 result result NN 63372 571 5 in in IN 63372 571 6 agreement agreement NN 63372 571 7 with with IN 63372 571 8 actual actual JJ 63372 571 9 experience experience NN 63372 571 10 ? ? . 63372 572 1 Is be VBZ 63372 572 2 it -PRON- PRP 63372 572 3 really really RB 63372 572 4 impossible impossible JJ 63372 572 5 to to TO 63372 572 6 distinguish distinguish VB 63372 572 7 between between IN 63372 572 8 rest rest NN 63372 572 9 and and CC 63372 572 10 motion motion NN 63372 572 11 of of IN 63372 572 12 a a DT 63372 572 13 body body NN 63372 572 14 if if IN 63372 572 15 we -PRON- PRP 63372 572 16 do do VBP 63372 572 17 not not RB 63372 572 18 take take VB 63372 572 19 into into IN 63372 572 20 consideration consideration NN 63372 572 21 its -PRON- PRP$ 63372 572 22 relations relation NNS 63372 572 23 to to IN 63372 572 24 other other JJ 63372 572 25 objects object NNS 63372 572 26 ? ? . 63372 573 1 In in IN 63372 573 2 fact fact NN 63372 573 3 it -PRON- PRP 63372 573 4 can can MD 63372 573 5 easily easily RB 63372 573 6 be be VB 63372 573 7 seen see VBN 63372 573 8 that that IN 63372 573 9 , , , 63372 573 10 at at IN 63372 573 11 least least JJS 63372 573 12 in in IN 63372 573 13 many many JJ 63372 573 14 cases case NNS 63372 573 15 , , , 63372 573 16 no no DT 63372 573 17 such such JJ 63372 573 18 distinction distinction NN 63372 573 19 is be VBZ 63372 573 20 possible possible JJ 63372 573 21 . . . 63372 574 1 WHO who WP 63372 574 2 IS be VBZ 63372 574 3 MOVING move VBG 63372 574 4 ? ? . 63372 575 1 Imagine imagine VB 63372 575 2 yourself -PRON- PRP 63372 575 3 sitting sit VBG 63372 575 4 in in IN 63372 575 5 a a DT 63372 575 6 railroad railroad NN 63372 575 7 car car NN 63372 575 8 with with IN 63372 575 9 veiled veiled JJ 63372 575 10 windows window NNS 63372 575 11 and and CC 63372 575 12 running run VBG 63372 575 13 on on IN 63372 575 14 a a DT 63372 575 15 perfectly perfectly RB 63372 575 16 straight straight JJ 63372 575 17 track track NN 63372 575 18 with with IN 63372 575 19 unchanging unchanging JJ 63372 575 20 velocity velocity NN 63372 575 21 : : : 63372 575 22 you -PRON- PRP 63372 575 23 would would MD 63372 575 24 find find VB 63372 575 25 it -PRON- PRP 63372 575 26 absolutely absolutely RB 63372 575 27 impossible impossible JJ 63372 575 28 to to TO 63372 575 29 ascertain ascertain VB 63372 575 30 by by IN 63372 575 31 any any DT 63372 575 32 mechanical mechanical JJ 63372 575 33 means mean NNS 63372 575 34 whether whether IN 63372 575 35 the the DT 63372 575 36 car car NN 63372 575 37 were be VBD 63372 575 38 moving move VBG 63372 575 39 or or CC 63372 575 40 not not RB 63372 575 41 . . . 63372 576 1 All all DT 63372 576 2 mechanical mechanical JJ 63372 576 3 instruments instrument NNS 63372 576 4 behave behave VBP 63372 576 5 exactly exactly RB 63372 576 6 the the DT 63372 576 7 same same JJ 63372 576 8 , , , 63372 576 9 whether whether IN 63372 576 10 the the DT 63372 576 11 car car NN 63372 576 12 be be VBP 63372 576 13 standing stand VBG 63372 576 14 still still RB 63372 576 15 or or CC 63372 576 16 in in IN 63372 576 17 motion motion NN 63372 576 18 . . . 63372 577 1 ] ] -RRB- 63372 577 2 24 24 CD 63372 577 3 [ [ -LRB- 63372 577 4 If if IN 63372 577 5 you -PRON- PRP 63372 577 6 drop drop VBP 63372 577 7 a a DT 63372 577 8 ball ball NN 63372 577 9 you -PRON- PRP 63372 577 10 will will MD 63372 577 11 see see VB 63372 577 12 it -PRON- PRP 63372 577 13 fall fall VB 63372 577 14 to to IN 63372 577 15 the the DT 63372 577 16 floor floor NN 63372 577 17 in in IN 63372 577 18 a a DT 63372 577 19 straight straight JJ 63372 577 20 line line NN 63372 577 21 , , , 63372 577 22 just just RB 63372 577 23 as as IN 63372 577 24 though though IN 63372 577 25 you -PRON- PRP 63372 577 26 had have VBD 63372 577 27 dropped drop VBN 63372 577 28 it -PRON- PRP 63372 577 29 while while IN 63372 577 30 standing stand VBG 63372 577 31 on on IN 63372 577 32 the the DT 63372 577 33 station station NN 63372 577 34 platform platform NN 63372 577 35 . . . 63372 578 1 Furthermore furthermore RB 63372 578 2 , , , 63372 578 3 if if IN 63372 578 4 you -PRON- PRP 63372 578 5 drop drop VBP 63372 578 6 the the DT 63372 578 7 ball ball NN 63372 578 8 from from IN 63372 578 9 the the DT 63372 578 10 same same JJ 63372 578 11 height height NN 63372 578 12 in in IN 63372 578 13 the the DT 63372 578 14 two two CD 63372 578 15 cases case NNS 63372 578 16 , , , 63372 578 17 and and CC 63372 578 18 measure measure VB 63372 578 19 the the DT 63372 578 20 velocities velocity NNS 63372 578 21 with with IN 63372 578 22 which which WDT 63372 578 23 it -PRON- PRP 63372 578 24 strikes strike VBZ 63372 578 25 the the DT 63372 578 26 car car NN 63372 578 27 floor floor NN 63372 578 28 and and CC 63372 578 29 the the DT 63372 578 30 station station NN 63372 578 31 platform platform NN 63372 578 32 , , , 63372 578 33 or or CC 63372 578 34 the the DT 63372 578 35 times time NNS 63372 578 36 which which WDT 63372 578 37 it -PRON- PRP 63372 578 38 requires require VBZ 63372 578 39 for for IN 63372 578 40 the the DT 63372 578 41 descent descent NN 63372 578 42 , , , 63372 578 43 you -PRON- PRP 63372 578 44 will will MD 63372 578 45 find find VB 63372 578 46 these these DT 63372 578 47 identical identical JJ 63372 578 48 in in IN 63372 578 49 the the DT 63372 578 50 two two CD 63372 578 51 cases case NNS 63372 578 52 . . . 63372 579 1 ] ] -RRB- 63372 579 2 182 182 CD 63372 579 3 [ [ -LRB- 63372 579 4 Any any DT 63372 579 5 changes change NNS 63372 579 6 of of IN 63372 579 7 speed speed NN 63372 579 8 or or CC 63372 579 9 of of IN 63372 579 10 direction direction NN 63372 579 11 ( ( -LRB- 63372 579 12 as as IN 63372 579 13 when when WRB 63372 579 14 the the DT 63372 579 15 car car NN 63372 579 16 speeds speed VBZ 63372 579 17 up up RP 63372 579 18 or or CC 63372 579 19 slows slow VBZ 63372 579 20 down down RB 63372 579 21 or or CC 63372 579 22 rounds round VBZ 63372 579 23 a a DT 63372 579 24 curve curve NN 63372 579 25 ) ) -RRB- 63372 579 26 can can MD 63372 579 27 be be VB 63372 579 28 detected detect VBN 63372 579 29 by by IN 63372 579 30 observing observe VBG 63372 579 31 the the DT 63372 579 32 behavior behavior NN 63372 579 33 of of IN 63372 579 34 bodies body NNS 63372 579 35 in in IN 63372 579 36 the the DT 63372 579 37 car car NN 63372 579 38 , , , 63372 579 39 without without IN 63372 579 40 apparent apparent JJ 63372 579 41 reference reference NN 63372 579 42 to to IN 63372 579 43 any any DT 63372 579 44 outside outside JJ 63372 579 45 objects object NNS 63372 579 46 . . . 63372 580 1 This this DT 63372 580 2 becomes become VBZ 63372 580 3 particularly particularly RB 63372 580 4 obvious obvious JJ 63372 580 5 with with IN 63372 580 6 sudden sudden JJ 63372 580 7 irregularities irregularity NNS 63372 580 8 of of IN 63372 580 9 motion motion NN 63372 580 10 , , , 63372 580 11 which which WDT 63372 580 12 manifest manifest VBP 63372 580 13 themselves -PRON- PRP 63372 580 14 by by IN 63372 580 15 shaking shake VBG 63372 580 16 everything everything NN 63372 580 17 in in IN 63372 580 18 the the DT 63372 580 19 car car NN 63372 580 20 . . . 63372 581 1 But but CC 63372 581 2 a a DT 63372 581 3 uniform uniform JJ 63372 581 4 motion motion NN 63372 581 5 in in IN 63372 581 6 a a DT 63372 581 7 straight straight JJ 63372 581 8 line line NN 63372 581 9 does do VBZ 63372 581 10 not not RB 63372 581 11 reveal reveal VB 63372 581 12 itself -PRON- PRP 63372 581 13 by by IN 63372 581 14 any any DT 63372 581 15 phenomenon phenomenon NN 63372 581 16 within within IN 63372 581 17 the the DT 63372 581 18 vehicle vehicle NN 63372 581 19 . . . 63372 582 1 ] ] -RRB- 63372 582 2 24 24 CD 63372 582 3 [ [ -LRB- 63372 582 4 Moreover moreover RB 63372 582 5 , , , 63372 582 6 if if IN 63372 582 7 we -PRON- PRP 63372 582 8 remove remove VBP 63372 582 9 the the DT 63372 582 10 veil veil NN 63372 582 11 from from IN 63372 582 12 our -PRON- PRP$ 63372 582 13 window window NN 63372 582 14 to to IN 63372 582 15 the the DT 63372 582 16 extent extent NN 63372 582 17 that that IN 63372 582 18 we -PRON- PRP 63372 582 19 may may MD 63372 582 20 observe observe VB 63372 582 21 the the DT 63372 582 22 train train NN 63372 582 23 on on IN 63372 582 24 the the DT 63372 582 25 adjoining adjoining JJ 63372 582 26 track track NN 63372 582 27 , , , 63372 582 28 we -PRON- PRP 63372 582 29 shall shall MD 63372 582 30 be be VB 63372 582 31 able able JJ 63372 582 32 to to TO 63372 582 33 make make VB 63372 582 34 no no DT 63372 582 35 decision decision NN 63372 582 36 as as IN 63372 582 37 to to IN 63372 582 38 whether whether IN 63372 582 39 we -PRON- PRP 63372 582 40 or or CC 63372 582 41 it -PRON- PRP 63372 582 42 be be VBP 63372 582 43 moving move VBG 63372 582 44 . . . 63372 583 1 This this DT 63372 583 2 is be VBZ 63372 583 3 indeed indeed RB 63372 583 4 an an DT 63372 583 5 experience experience NN 63372 583 6 which which WDT 63372 583 7 we -PRON- PRP 63372 583 8 have have VBP 63372 583 9 all all RB 63372 583 10 had have VBN 63372 583 11 . . . 63372 584 1 ] ] -RRB- 63372 584 2 * * NFP 63372 584 3 [ [ -LRB- 63372 584 4 Often often RB 63372 584 5 when when WRB 63372 584 6 seated seat VBN 63372 584 7 in in IN 63372 584 8 a a DT 63372 584 9 train train NN 63372 584 10 about about IN 63372 584 11 to to TO 63372 584 12 leave leave VB 63372 584 13 the the DT 63372 584 14 station station NN 63372 584 15 , , , 63372 584 16 we -PRON- PRP 63372 584 17 have have VBP 63372 584 18 thought think VBN 63372 584 19 ourselves -PRON- PRP 63372 584 20 under under IN 63372 584 21 way way NN 63372 584 22 , , , 63372 584 23 only only RB 63372 584 24 to to TO 63372 584 25 perceive perceive VB 63372 584 26 as as IN 63372 584 27 the the DT 63372 584 28 motion motion NN 63372 584 29 becomes become VBZ 63372 584 30 no no RB 63372 584 31 longer long RBR 63372 584 32 uniform uniform JJ 63372 584 33 that that IN 63372 584 34 another another DT 63372 584 35 train train NN 63372 584 36 has have VBZ 63372 584 37 been be VBN 63372 584 38 backing back VBG 63372 584 39 into into IN 63372 584 40 the the DT 63372 584 41 station station NN 63372 584 42 on on IN 63372 584 43 the the DT 63372 584 44 adjoining adjoining JJ 63372 584 45 track track NN 63372 584 46 . . . 63372 585 1 Again again RB 63372 585 2 , , , 63372 585 3 as as IN 63372 585 4 we -PRON- PRP 63372 585 5 were be VBD 63372 585 6 hurried hurry VBN 63372 585 7 on on IN 63372 585 8 our -PRON- PRP$ 63372 585 9 journey journey NN 63372 585 10 , , , 63372 585 11 we -PRON- PRP 63372 585 12 have have VBP 63372 585 13 , , , 63372 585 14 raising raise VBG 63372 585 15 suddenly suddenly RB 63372 585 16 our -PRON- PRP$ 63372 585 17 eyes eye NNS 63372 585 18 , , , 63372 585 19 been be VBN 63372 585 20 puzzled puzzle VBN 63372 585 21 to to TO 63372 585 22 say say VB 63372 585 23 whether whether IN 63372 585 24 the the DT 63372 585 25 passing pass VBG 63372 585 26 train train NN 63372 585 27 were be VBD 63372 585 28 moving move VBG 63372 585 29 with with IN 63372 585 30 us -PRON- PRP 63372 585 31 or or CC 63372 585 32 against against IN 63372 585 33 us -PRON- PRP 63372 585 34 or or CC 63372 585 35 indeed indeed RB 63372 585 36 standing stand VBG 63372 585 37 still still RB 63372 585 38 ; ; : 63372 585 39 or or CC 63372 585 40 more more RBR 63372 585 41 rarely rarely RB 63372 585 42 we -PRON- PRP 63372 585 43 have have VBP 63372 585 44 had have VBN 63372 585 45 the the DT 63372 585 46 impression impression NN 63372 585 47 that that IN 63372 585 48 both both DT 63372 585 49 it -PRON- PRP 63372 585 50 and and CC 63372 585 51 we -PRON- PRP 63372 585 52 seemed seem VBD 63372 585 53 to to TO 63372 585 54 be be VB 63372 585 55 at at IN 63372 585 56 rest rest NN 63372 585 57 , , , 63372 585 58 when when WRB 63372 585 59 in in IN 63372 585 60 truth truth NN 63372 585 61 both both DT 63372 585 62 were be VBD 63372 585 63 moving move VBG 63372 585 64 rapidly rapidly RB 63372 585 65 with with IN 63372 585 66 the the DT 63372 585 67 same same JJ 63372 585 68 speed speed NN 63372 585 69 . . . 63372 586 1 ] ] -RRB- 63372 586 2 82 82 CD 63372 586 3 [ [ -LRB- 63372 586 4 Even even RB 63372 586 5 this this DT 63372 586 6 phrase phrase NN 63372 586 7 " " '' 63372 586 8 in in IN 63372 586 9 truth truth NN 63372 586 10 " " '' 63372 586 11 is be VBZ 63372 586 12 a a DT 63372 586 13 relative relative JJ 63372 586 14 one one NN 63372 586 15 , , , 63372 586 16 for for IN 63372 586 17 it -PRON- PRP 63372 586 18 arises arise VBZ 63372 586 19 through through IN 63372 586 20 using use VBG 63372 586 21 the the DT 63372 586 22 earth earth NN 63372 586 23 as as IN 63372 586 24 an an DT 63372 586 25 absolute absolute JJ 63372 586 26 reference reference NN 63372 586 27 body body NN 63372 586 28 . . . 63372 587 1 We -PRON- PRP 63372 587 2 are be VBP 63372 587 3 indeed indeed RB 63372 587 4 naive naive JJ 63372 587 5 if if IN 63372 587 6 we -PRON- PRP 63372 587 7 can can MD 63372 587 8 not not RB 63372 587 9 appreciate appreciate VB 63372 587 10 that that IN 63372 587 11 there there EX 63372 587 12 is be VBZ 63372 587 13 no no DT 63372 587 14 reason reason NN 63372 587 15 for for IN 63372 587 16 doing do VBG 63372 587 17 this this DT 63372 587 18 beyond beyond IN 63372 587 19 convenience convenience NN 63372 587 20 , , , 63372 587 21 and and CC 63372 587 22 that that IN 63372 587 23 to to IN 63372 587 24 an an DT 63372 587 25 observer observer NN 63372 587 26 detached detach VBN 63372 587 27 from from IN 63372 587 28 the the DT 63372 587 29 earth earth NN 63372 587 30 it -PRON- PRP 63372 587 31 were be VBD 63372 587 32 just just RB 63372 587 33 as as RB 63372 587 34 reasonable reasonable JJ 63372 587 35 to to TO 63372 587 36 say say VB 63372 587 37 that that IN 63372 587 38 the the DT 63372 587 39 rails rail NNS 63372 587 40 are be VBP 63372 587 41 sliding slide VBG 63372 587 42 under under IN 63372 587 43 the the DT 63372 587 44 train train NN 63372 587 45 as as IN 63372 587 46 that that DT 63372 587 47 the the DT 63372 587 48 train train NN 63372 587 49 is be VBZ 63372 587 50 advancing advance VBG 63372 587 51 along along IN 63372 587 52 the the DT 63372 587 53 rails rail NNS 63372 587 54 . . . 63372 588 1 One one CD 63372 588 2 of of IN 63372 588 3 my -PRON- PRP$ 63372 588 4 own own JJ 63372 588 5 most most RBS 63372 588 6 vivid vivid JJ 63372 588 7 childhood childhood NN 63372 588 8 recollections recollection NNS 63372 588 9 is be VBZ 63372 588 10 of of IN 63372 588 11 the the DT 63372 588 12 terror terror NN 63372 588 13 with with IN 63372 588 14 which which WDT 63372 588 15 , , , 63372 588 16 riding ride VBG 63372 588 17 on on IN 63372 588 18 a a DT 63372 588 19 train train NN 63372 588 20 that that WDT 63372 588 21 passed pass VBD 63372 588 22 through through IN 63372 588 23 a a DT 63372 588 24 narrow narrow JJ 63372 588 25 cut cut NN 63372 588 26 , , , 63372 588 27 I -PRON- PRP 63372 588 28 hid hide VBD 63372 588 29 my -PRON- PRP$ 63372 588 30 head head NN 63372 588 31 in in IN 63372 588 32 the the DT 63372 588 33 maternal maternal JJ 63372 588 34 lap lap NN 63372 588 35 to to TO 63372 588 36 shut shut VB 63372 588 37 out out RP 63372 588 38 the the DT 63372 588 39 horrid horrid NN 63372 588 40 sight sight NN 63372 588 41 of of IN 63372 588 42 the the DT 63372 588 43 earth earth NN 63372 588 44 rushing rush VBG 63372 588 45 past past IN 63372 588 46 my -PRON- PRP$ 63372 588 47 window window NN 63372 588 48 . . . 63372 589 1 The the DT 63372 589 2 absence absence NN 63372 589 3 of of IN 63372 589 4 a a DT 63372 589 5 background background NN 63372 589 6 in in IN 63372 589 7 relatively relatively RB 63372 589 8 slow slow JJ 63372 589 9 retrograde retrograde NN 63372 589 10 motion motion NN 63372 589 11 was be VBD 63372 589 12 sufficient sufficient JJ 63372 589 13 to to TO 63372 589 14 prevent prevent VB 63372 589 15 my -PRON- PRP$ 63372 589 16 consciousness consciousness NN 63372 589 17 from from IN 63372 589 18 drawing draw VBG 63372 589 19 the the DT 63372 589 20 accustomed accustomed JJ 63372 589 21 conclusion conclusion NN 63372 589 22 that that IN 63372 589 23 after after RB 63372 589 24 all all DT 63372 589 25 it -PRON- PRP 63372 589 26 was be VBD 63372 589 27 really really RB 63372 589 28 the the DT 63372 589 29 train train NN 63372 589 30 that that WDT 63372 589 31 was be VBD 63372 589 32 moving move VBG 63372 589 33 . . . 63372 590 1 ] ] -RRB- 63372 590 2 * * NFP 63372 590 3 MECHANICAL MECHANICAL NNP 63372 590 4 RELATIVITY RELATIVITY NNP 63372 590 5 [ [ -LRB- 63372 590 6 So so IN 63372 590 7 we -PRON- PRP 63372 590 8 can can MD 63372 590 9 enunciate enunciate VB 63372 590 10 the the DT 63372 590 11 following follow VBG 63372 590 12 principle principle NN 63372 590 13 : : : 63372 590 14 When when WRB 63372 590 15 a a DT 63372 590 16 body body NN 63372 590 17 is be VBZ 63372 590 18 in in IN 63372 590 19 uniform uniform JJ 63372 590 20 rectilinear rectilinear JJ 63372 590 21 motion motion NN 63372 590 22 relatively relatively RB 63372 590 23 to to IN 63372 590 24 a a DT 63372 590 25 second second JJ 63372 590 26 body body NN 63372 590 27 , , , 63372 590 28 then then RB 63372 590 29 all all DT 63372 590 30 phenomena phenomenon NNS 63372 590 31 take take VBP 63372 590 32 place place NN 63372 590 33 on on IN 63372 590 34 the the DT 63372 590 35 first first JJ 63372 590 36 in in IN 63372 590 37 exactly exactly RB 63372 590 38 the the DT 63372 590 39 same same JJ 63372 590 40 manner manner NN 63372 590 41 as as IN 63372 590 42 on on IN 63372 590 43 the the DT 63372 590 44 second second JJ 63372 590 45 ; ; : 63372 590 46 the the DT 63372 590 47 physical physical JJ 63372 590 48 laws law NNS 63372 590 49 for for IN 63372 590 50 the the DT 63372 590 51 happenings happening NNS 63372 590 52 on on IN 63372 590 53 both both DT 63372 590 54 bodies body NNS 63372 590 55 are be VBP 63372 590 56 identical identical JJ 63372 590 57 . . . 63372 591 1 ] ] -RRB- 63372 591 2 24 24 CD 63372 591 3 [ [ -LRB- 63372 591 4 And and CC 63372 591 5 between between IN 63372 591 6 a a DT 63372 591 7 system system NN 63372 591 8 of of IN 63372 591 9 bodies body NNS 63372 591 10 , , , 63372 591 11 nothing nothing NN 63372 591 12 but but IN 63372 591 13 relative relative JJ 63372 591 14 motion motion NN 63372 591 15 may may MD 63372 591 16 be be VB 63372 591 17 detected detect VBN 63372 591 18 by by IN 63372 591 19 any any DT 63372 591 20 mechanical mechanical JJ 63372 591 21 means mean NNS 63372 591 22 whatever whatever WDT 63372 591 23 ; ; : 63372 591 24 any any DT 63372 591 25 attempt attempt NN 63372 591 26 to to TO 63372 591 27 discuss discuss VB 63372 591 28 absolute absolute JJ 63372 591 29 motion motion NN 63372 591 30 presupposes presuppose VBZ 63372 591 31 a a DT 63372 591 32 super super JJ 63372 591 33 - - JJ 63372 591 34 observer observer NN 63372 591 35 on on IN 63372 591 36 some some DT 63372 591 37 body body NN 63372 591 38 external external JJ 63372 591 39 to to IN 63372 591 40 the the DT 63372 591 41 system system NN 63372 591 42 . . . 63372 592 1 Even even RB 63372 592 2 then then RB 63372 592 3 , , , 63372 592 4 the the DT 63372 592 5 " " `` 63372 592 6 absolute absolute JJ 63372 592 7 " " '' 63372 592 8 motion motion NN 63372 592 9 is be VBZ 63372 592 10 nothing nothing NN 63372 592 11 but but IN 63372 592 12 motion motion NN 63372 592 13 relative relative JJ 63372 592 14 to to IN 63372 592 15 this this DT 63372 592 16 super super NN 63372 592 17 - - NN 63372 592 18 observer observer NN 63372 592 19 . . . 63372 593 1 By by IN 63372 593 2 no no DT 63372 593 3 mechanical mechanical JJ 63372 593 4 means means NN 63372 593 5 is be VBZ 63372 593 6 uniform uniform JJ 63372 593 7 straight straight JJ 63372 593 8 - - HYPH 63372 593 9 line line NN 63372 593 10 motion motion NN 63372 593 11 of of IN 63372 593 12 any any DT 63372 593 13 other other JJ 63372 593 14 than than IN 63372 593 15 relative relative JJ 63372 593 16 character character NN 63372 593 17 to to TO 63372 593 18 be be VB 63372 593 19 detected detect VBN 63372 593 20 . . . 63372 594 1 This this DT 63372 594 2 is be VBZ 63372 594 3 the the DT 63372 594 4 Principle Principle NNP 63372 594 5 of of IN 63372 594 6 Mechanical Mechanical NNP 63372 594 7 Relativity Relativity NNP 63372 594 8 . . . 63372 595 1 There there EX 63372 595 2 is be VBZ 63372 595 3 nothing nothing NN 63372 595 4 new new JJ 63372 595 5 in in IN 63372 595 6 this this DT 63372 595 7 . . . 63372 596 1 It -PRON- PRP 63372 596 2 was be VBD 63372 596 3 known know VBN 63372 596 4 to to IN 63372 596 5 Galileo Galileo NNP 63372 596 6 , , , 63372 596 7 it -PRON- PRP 63372 596 8 was be VBD 63372 596 9 known know VBN 63372 596 10 to to IN 63372 596 11 Newton Newton NNP 63372 596 12 , , , 63372 596 13 it -PRON- PRP 63372 596 14 has have VBZ 63372 596 15 been be VBN 63372 596 16 known know VBN 63372 596 17 ever ever RB 63372 596 18 since since RB 63372 596 19 . . . 63372 597 1 But but CC 63372 597 2 the the DT 63372 597 3 curious curious JJ 63372 597 4 persistence persistence NN 63372 597 5 of of IN 63372 597 6 the the DT 63372 597 7 human human JJ 63372 597 8 mind mind NN 63372 597 9 in in IN 63372 597 10 habits habit NNS 63372 597 11 of of IN 63372 597 12 thought thought NN 63372 597 13 which which WDT 63372 597 14 confuse confuse VBP 63372 597 15 relativity relativity NN 63372 597 16 with with IN 63372 597 17 absolutism absolutism NN 63372 597 18 brought bring VBD 63372 597 19 about about RP 63372 597 20 a a DT 63372 597 21 state state NN 63372 597 22 of of IN 63372 597 23 affairs affair NNS 63372 597 24 where where WRB 63372 597 25 we -PRON- PRP 63372 597 26 attempted attempt VBD 63372 597 27 to to TO 63372 597 28 know know VB 63372 597 29 this this DT 63372 597 30 and and CC 63372 597 31 to to TO 63372 597 32 ignore ignore VB 63372 597 33 it -PRON- PRP 63372 597 34 at at IN 63372 597 35 the the DT 63372 597 36 same same JJ 63372 597 37 time time NN 63372 597 38 . . . 63372 598 1 We -PRON- PRP 63372 598 2 shall shall MD 63372 598 3 have have VB 63372 598 4 to to TO 63372 598 5 return return VB 63372 598 6 to to IN 63372 598 7 the the DT 63372 598 8 mathematical mathematical JJ 63372 598 9 mode mode NN 63372 598 10 of of IN 63372 598 11 reasoning reason VBG 63372 598 12 to to TO 63372 598 13 see see VB 63372 598 14 how how WRB 63372 598 15 this this DT 63372 598 16 happened happen VBD 63372 598 17 . . . 63372 599 1 The the DT 63372 599 2 mathematician mathematician NN 63372 599 3 has have VBZ 63372 599 4 a a DT 63372 599 5 way way NN 63372 599 6 all all PDT 63372 599 7 his -PRON- PRP$ 63372 599 8 own own JJ 63372 599 9 of of IN 63372 599 10 putting put VBG 63372 599 11 the the DT 63372 599 12 statement statement NN 63372 599 13 of of IN 63372 599 14 relativity relativity NN 63372 599 15 which which WDT 63372 599 16 we -PRON- PRP 63372 599 17 have have VBP 63372 599 18 made make VBN 63372 599 19 . . . 63372 600 1 He -PRON- PRP 63372 600 2 recalls recall VBZ 63372 600 3 , , , 63372 600 4 what what WP 63372 600 5 we -PRON- PRP 63372 600 6 have have VBP 63372 600 7 already already RB 63372 600 8 seen see VBN 63372 600 9 , , , 63372 600 10 that that IN 63372 600 11 the the DT 63372 600 12 observer observer NN 63372 600 13 on on IN 63372 600 14 the the DT 63372 600 15 earth earth NN 63372 600 16 who who WP 63372 600 17 is be VBZ 63372 600 18 measuring measure VBG 63372 600 19 his -PRON- PRP$ 63372 600 20 " " `` 63372 600 21 absolute absolute JJ 63372 600 22 " " '' 63372 600 23 motion motion NN 63372 600 24 with with IN 63372 600 25 respect respect NN 63372 600 26 to to IN 63372 600 27 the the DT 63372 600 28 earth earth NN 63372 600 29 has have VBZ 63372 600 30 merely merely RB 63372 600 31 attached attach VBN 63372 600 32 his -PRON- PRP$ 63372 600 33 reference reference NN 63372 600 34 framework framework NN 63372 600 35 to to IN 63372 600 36 the the DT 63372 600 37 earth earth NN 63372 600 38 ; ; : 63372 600 39 that that IN 63372 600 40 the the DT 63372 600 41 passenger passenger NN 63372 600 42 in in IN 63372 600 43 the the DT 63372 600 44 train train NN 63372 600 45 who who WP 63372 600 46 measures measure VBZ 63372 600 47 all all DT 63372 600 48 motion motion NN 63372 600 49 naively naively RB 63372 600 50 with with IN 63372 600 51 respect respect NN 63372 600 52 to to IN 63372 600 53 his -PRON- PRP$ 63372 600 54 train train NN 63372 600 55 is be VBZ 63372 600 56 merely merely RB 63372 600 57 carrying carry VBG 63372 600 58 his -PRON- PRP$ 63372 600 59 coordinate coordinate JJ 63372 600 60 axes axis NNS 63372 600 61 along along IN 63372 600 62 with with IN 63372 600 63 his -PRON- PRP$ 63372 600 64 baggage baggage NN 63372 600 65 , , , 63372 600 66 instead instead RB 63372 600 67 of of IN 63372 600 68 leaving leave VBG 63372 600 69 them -PRON- PRP 63372 600 70 on on IN 63372 600 71 the the DT 63372 600 72 solid solid JJ 63372 600 73 ground ground NN 63372 600 74 ; ; : 63372 600 75 that that IN 63372 600 76 the the DT 63372 600 77 astronomer astronomer NN 63372 600 78 who who WP 63372 600 79 deals deal VBZ 63372 600 80 with with IN 63372 600 81 the the DT 63372 600 82 motion motion NN 63372 600 83 of of IN 63372 600 84 the the DT 63372 600 85 earth earth NN 63372 600 86 about about IN 63372 600 87 the the DT 63372 600 88 sun sun NN 63372 600 89 , , , 63372 600 90 or or CC 63372 600 91 with with IN 63372 600 92 that that DT 63372 600 93 of of IN 63372 600 94 the the DT 63372 600 95 " " `` 63372 600 96 fixed fix VBN 63372 600 97 " " '' 63372 600 98 stars star NNS 63372 600 99 against against IN 63372 600 100 one one CD 63372 600 101 another another DT 63372 600 102 , , , 63372 600 103 does do VBZ 63372 600 104 so so RB 63372 600 105 simply simply RB 63372 600 106 by by IN 63372 600 107 the the DT 63372 600 108 artifice artifice NN 63372 600 109 of of IN 63372 600 110 hitching hitch VBG 63372 600 111 his -PRON- PRP$ 63372 600 112 frame frame NN 63372 600 113 of of IN 63372 600 114 reference reference NN 63372 600 115 to to IN 63372 600 116 the the DT 63372 600 117 sun sun NN 63372 600 118 or or CC 63372 600 119 to to IN 63372 600 120 one one CD 63372 600 121 of of IN 63372 600 122 the the DT 63372 600 123 fixed fix VBN 63372 600 124 stars star NNS 63372 600 125 . . . 63372 601 1 So so RB 63372 601 2 the the DT 63372 601 3 mathematician mathematician JJ 63372 601 4 points point VBZ 63372 601 5 out out RP 63372 601 6 that that DT 63372 601 7 dispute dispute NN 63372 601 8 as as IN 63372 601 9 to to IN 63372 601 10 which which WDT 63372 601 11 of of IN 63372 601 12 two two CD 63372 601 13 bodies body NNS 63372 601 14 is be VBZ 63372 601 15 in in IN 63372 601 16 motion motion NN 63372 601 17 comes come VBZ 63372 601 18 right right RB 63372 601 19 down down RB 63372 601 20 to to TO 63372 601 21 dispute dispute VB 63372 601 22 as as IN 63372 601 23 to to IN 63372 601 24 which which WDT 63372 601 25 of of IN 63372 601 26 two two CD 63372 601 27 sets set NNS 63372 601 28 of of IN 63372 601 29 coordinate coordinate JJ 63372 601 30 axes axis NNS 63372 601 31 is be VBZ 63372 601 32 the the DT 63372 601 33 better well JJR 63372 601 34 one one CD 63372 601 35 , , , 63372 601 36 the the DT 63372 601 37 more more RBR 63372 601 38 nearly nearly RB 63372 601 39 " " `` 63372 601 40 natural natural JJ 63372 601 41 " " '' 63372 601 42 or or CC 63372 601 43 " " `` 63372 601 44 absolute absolute JJ 63372 601 45 . . . 63372 601 46 " " '' 63372 602 1 He -PRON- PRP 63372 602 2 therefore therefore RB 63372 602 3 phrases phrase VBZ 63372 602 4 the the DT 63372 602 5 mechanical mechanical JJ 63372 602 6 principle principle NN 63372 602 7 of of IN 63372 602 8 relativity relativity NN 63372 602 9 as as IN 63372 602 10 follows follow VBZ 63372 602 11 : : : 63372 602 12 Among among IN 63372 602 13 all all DT 63372 602 14 coordinate coordinate JJ 63372 602 15 systems system NNS 63372 602 16 that that WDT 63372 602 17 are be VBP 63372 602 18 merely merely RB 63372 602 19 in in IN 63372 602 20 uniform uniform JJ 63372 602 21 straight straight JJ 63372 602 22 - - HYPH 63372 602 23 line line NN 63372 602 24 motion motion NN 63372 602 25 to to IN 63372 602 26 one one CD 63372 602 27 another another DT 63372 602 28 , , , 63372 602 29 no no DT 63372 602 30 one one NN 63372 602 31 occupies occupy VBZ 63372 602 32 any any DT 63372 602 33 position position NN 63372 602 34 of of IN 63372 602 35 unique unique JJ 63372 602 36 natural natural JJ 63372 602 37 advantage advantage NN 63372 602 38 ; ; : 63372 602 39 all all DT 63372 602 40 such such JJ 63372 602 41 systems system NNS 63372 602 42 are be VBP 63372 602 43 equivalent equivalent JJ 63372 602 44 for for IN 63372 602 45 the the DT 63372 602 46 investigation investigation NN 63372 602 47 of of IN 63372 602 48 natural natural JJ 63372 602 49 laws law NNS 63372 602 50 ; ; , 63372 602 51 all all DT 63372 602 52 systems system NNS 63372 602 53 lead lead VBP 63372 602 54 to to IN 63372 602 55 the the DT 63372 602 56 same same JJ 63372 602 57 laws law NNS 63372 602 58 and and CC 63372 602 59 the the DT 63372 602 60 same same JJ 63372 602 61 results result NNS 63372 602 62 . . . 63372 603 1 The the DT 63372 603 2 mathematician mathematician NN 63372 603 3 has have VBZ 63372 603 4 thus thus RB 63372 603 5 removed remove VBN 63372 603 6 the the DT 63372 603 7 statement statement NN 63372 603 8 of of IN 63372 603 9 relativity relativity NN 63372 603 10 from from IN 63372 603 11 its -PRON- PRP$ 63372 603 12 intimate intimate JJ 63372 603 13 association association NN 63372 603 14 with with IN 63372 603 15 the the DT 63372 603 16 external external JJ 63372 603 17 observed observed JJ 63372 603 18 phenomena phenomenon NNS 63372 603 19 , , , 63372 603 20 and and CC 63372 603 21 transferred transfer VBD 63372 603 22 it -PRON- PRP 63372 603 23 to to IN 63372 603 24 the the DT 63372 603 25 observer observer NN 63372 603 26 and and CC 63372 603 27 his -PRON- PRP$ 63372 603 28 reference reference NN 63372 603 29 frame frame NN 63372 603 30 . . . 63372 604 1 We -PRON- PRP 63372 604 2 must must MD 63372 604 3 either either CC 63372 604 4 accept accept VB 63372 604 5 the the DT 63372 604 6 principle principle NN 63372 604 7 of of IN 63372 604 8 relativity relativity NN 63372 604 9 , , , 63372 604 10 or or CC 63372 604 11 seek seek VB 63372 604 12 a a DT 63372 604 13 set set NN 63372 604 14 of of IN 63372 604 15 coordinate coordinate JJ 63372 604 16 axes axis NNS 63372 604 17 that that WDT 63372 604 18 have have VBP 63372 604 19 been be VBN 63372 604 20 singled single VBN 63372 604 21 out out RP 63372 604 22 by by IN 63372 604 23 nature nature NN 63372 604 24 as as IN 63372 604 25 an an DT 63372 604 26 absolute absolute JJ 63372 604 27 reference reference NN 63372 604 28 frame frame NN 63372 604 29 . . . 63372 605 1 These these DT 63372 605 2 axes axis NNS 63372 605 3 must must MD 63372 605 4 be be VB 63372 605 5 in in IN 63372 605 6 some some DT 63372 605 7 way way NN 63372 605 8 unique unique JJ 63372 605 9 , , , 63372 605 10 so so IN 63372 605 11 that that IN 63372 605 12 when when WRB 63372 605 13 we -PRON- PRP 63372 605 14 refer refer VBP 63372 605 15 phenomena phenomenon NNS 63372 605 16 to to IN 63372 605 17 them -PRON- PRP 63372 605 18 , , , 63372 605 19 the the DT 63372 605 20 laws law NNS 63372 605 21 of of IN 63372 605 22 nature nature NN 63372 605 23 take take VBP 63372 605 24 a a DT 63372 605 25 form form NN 63372 605 26 of of IN 63372 605 27 exceptional exceptional JJ 63372 605 28 simplicity simplicity NN 63372 605 29 not not RB 63372 605 30 attained attain VBN 63372 605 31 through through IN 63372 605 32 reference reference NN 63372 605 33 to to IN 63372 605 34 ordinary ordinary JJ 63372 605 35 axes axis NNS 63372 605 36 . . . 63372 606 1 Where where WRB 63372 606 2 shall shall MD 63372 606 3 we -PRON- PRP 63372 606 4 look look VB 63372 606 5 for for IN 63372 606 6 such such PDT 63372 606 7 a a DT 63372 606 8 preferred preferred JJ 63372 606 9 coordinate coordinate NN 63372 606 10 system system NN 63372 606 11 ? ? . 63372 607 1 ] ] -RRB- 63372 607 2 * * NFP 63372 607 3 THE the DT 63372 607 4 SEARCH SEARCH NNS 63372 607 5 FOR for IN 63372 607 6 THE the DT 63372 607 7 ABSOLUTE ABSOLUTE NNP 63372 607 8 [ [ -LRB- 63372 607 9 Older old JJR 63372 607 10 theory theory NN 63372 607 11 clung cling VBN 63372 607 12 to to IN 63372 607 13 the the DT 63372 607 14 belief belief NN 63372 607 15 that that IN 63372 607 16 there there EX 63372 607 17 was be VBD 63372 607 18 such such PDT 63372 607 19 a a DT 63372 607 20 thing thing NN 63372 607 21 as as IN 63372 607 22 absolute absolute JJ 63372 607 23 motion motion NN 63372 607 24 in in IN 63372 607 25 space space NN 63372 607 26 . . . 63372 608 1 ] ] -RRB- 63372 608 2 197 197 CD 63372 608 3 [ [ -LRB- 63372 608 4 As as IN 63372 608 5 the the DT 63372 608 6 body body NN 63372 608 7 of of IN 63372 608 8 scientific scientific JJ 63372 608 9 law law NN 63372 608 10 developed develop VBN 63372 608 11 from from IN 63372 608 12 the the DT 63372 608 13 sixteenth sixteenth JJ 63372 608 14 century century NN 63372 608 15 onward onward RB 63372 608 16 , , , 63372 608 17 the the DT 63372 608 18 not not RB 63372 608 19 unnatural unnatural JJ 63372 608 20 hypothesis hypothesis NN 63372 608 21 crept creep VBD 63372 608 22 in in RB 63372 608 23 , , , 63372 608 24 that that IN 63372 608 25 these these DT 63372 608 26 laws law NNS 63372 608 27 ( ( -LRB- 63372 608 28 that that DT 63372 608 29 is be VBZ 63372 608 30 to to TO 63372 608 31 say say VB 63372 608 32 , , , 63372 608 33 their -PRON- PRP$ 63372 608 34 mathematical mathematical JJ 63372 608 35 formulations formulation NNS 63372 608 36 rather rather RB 63372 608 37 than than IN 63372 608 38 their -PRON- PRP$ 63372 608 39 verbal verbal JJ 63372 608 40 statements statement NNS 63372 608 41 ) ) -RRB- 63372 608 42 would would MD 63372 608 43 reveal reveal VB 63372 608 44 themselves -PRON- PRP 63372 608 45 in in IN 63372 608 46 especially especially RB 63372 608 47 simple simple JJ 63372 608 48 forms form NNS 63372 608 49 , , , 63372 608 50 were be VBD 63372 608 51 it -PRON- PRP 63372 608 52 possible possible JJ 63372 608 53 for for IN 63372 608 54 experimenters experimenter NNS 63372 608 55 to to TO 63372 608 56 make make VB 63372 608 57 their -PRON- PRP$ 63372 608 58 observations observation NNS 63372 608 59 from from IN 63372 608 60 some some DT 63372 608 61 absolute absolute JJ 63372 608 62 standpoint standpoint NN 63372 608 63 ; ; : 63372 608 64 from from IN 63372 608 65 an an DT 63372 608 66 absolutely absolutely RB 63372 608 67 fixed fix VBN 63372 608 68 position position NN 63372 608 69 in in IN 63372 608 70 space space NN 63372 608 71 rather rather RB 63372 608 72 than than IN 63372 608 73 from from IN 63372 608 74 the the DT 63372 608 75 moving move VBG 63372 608 76 earth earth NN 63372 608 77 . . . 63372 609 1 ] ] -RRB- 63372 609 2 264 264 CD 63372 609 3 [ [ -LRB- 63372 609 4 Somewhere Somewhere NNP 63372 609 5 a a DT 63372 609 6 set set NN 63372 609 7 of of IN 63372 609 8 coordinate coordinate JJ 63372 609 9 axes axis NNS 63372 609 10 incapable incapable JJ 63372 609 11 of of IN 63372 609 12 motion motion NN 63372 609 13 was be VBD 63372 609 14 to to TO 63372 609 15 be be VB 63372 609 16 found,]197 found,]197 NNP 63372 609 17 [ [ -LRB- 63372 609 18 a a DT 63372 609 19 fixed fix VBN 63372 609 20 set set NN 63372 609 21 of of IN 63372 609 22 axes axis NNS 63372 609 23 for for IN 63372 609 24 measuring measure VBG 63372 609 25 absolute absolute JJ 63372 609 26 motion motion NN 63372 609 27 ; ; : 63372 609 28 and and CC 63372 609 29 for for IN 63372 609 30 two two CD 63372 609 31 hundred hundred CD 63372 609 32 years year NNS 63372 609 33 the the DT 63372 609 34 world world NN 63372 609 35 of of IN 63372 609 36 science science NN 63372 609 37 strove strove NN 63372 609 38 to to TO 63372 609 39 find find VB 63372 609 40 it,]147 it,]147 NNP 63372 609 41 [ [ -LRB- 63372 609 42 in in IN 63372 609 43 spite spite NN 63372 609 44 of of IN 63372 609 45 what what WP 63372 609 46 should should MD 63372 609 47 have have VB 63372 609 48 been be VBN 63372 609 49 assurance assurance NN 63372 609 50 that that IN 63372 609 51 it -PRON- PRP 63372 609 52 did do VBD 63372 609 53 not not RB 63372 609 54 exist exist VB 63372 609 55 . . . 63372 610 1 But but CC 63372 610 2 the the DT 63372 610 3 search search NN 63372 610 4 failed fail VBD 63372 610 5 , , , 63372 610 6 and and CC 63372 610 7 gradually gradually RB 63372 610 8 the the DT 63372 610 9 universal universal JJ 63372 610 10 applicability applicability NN 63372 610 11 of of IN 63372 610 12 the the DT 63372 610 13 principle principle NN 63372 610 14 of of IN 63372 610 15 relativity relativity NN 63372 610 16 , , , 63372 610 17 so so RB 63372 610 18 far far RB 63372 610 19 as as IN 63372 610 20 it -PRON- PRP 63372 610 21 concerned concern VBD 63372 610 22 mechanical mechanical JJ 63372 610 23 phenomena phenomenon NNS 63372 610 24 , , , 63372 610 25 grew grow VBD 63372 610 26 into into IN 63372 610 27 general general JJ 63372 610 28 acceptance acceptance NN 63372 610 29 . . . 63372 611 1 ] ] -RRB- 63372 611 2 * * NFP 63372 611 3 [ [ -LRB- 63372 611 4 And and CC 63372 611 5 after after IN 63372 611 6 the the DT 63372 611 7 development development NN 63372 611 8 , , , 63372 611 9 by by IN 63372 611 10 the the DT 63372 611 11 great great JJ 63372 611 12 mathematicians mathematician NNS 63372 611 13 of of IN 63372 611 14 the the DT 63372 611 15 eighteenth eighteenth JJ 63372 611 16 century century NN 63372 611 17 , , , 63372 611 18 of of IN 63372 611 19 Newton Newton NNP 63372 611 20 's 's POS 63372 611 21 laws law NNS 63372 611 22 of of IN 63372 611 23 motion motion NN 63372 611 24 into into IN 63372 611 25 their -PRON- PRP$ 63372 611 26 most most RBS 63372 611 27 complete complete JJ 63372 611 28 mathematical mathematical JJ 63372 611 29 form form NN 63372 611 30 , , , 63372 611 31 it -PRON- PRP 63372 611 32 was be VBD 63372 611 33 seen see VBN 63372 611 34 that that IN 63372 611 35 so so RB 63372 611 36 far far RB 63372 611 37 as as IN 63372 611 38 these these DT 63372 611 39 laws law NNS 63372 611 40 are be VBP 63372 611 41 concerned concerned JJ 63372 611 42 the the DT 63372 611 43 absolutist absolutist JJ 63372 611 44 hypothesis hypothesis NN 63372 611 45 mentioned mention VBN 63372 611 46 is be VBZ 63372 611 47 quite quite RB 63372 611 48 unsupported unsupported JJ 63372 611 49 . . . 63372 612 1 No no DT 63372 612 2 complication complication NN 63372 612 3 is be VBZ 63372 612 4 introduced introduce VBN 63372 612 5 into into IN 63372 612 6 Newton Newton NNP 63372 612 7 's 's POS 63372 612 8 laws law NNS 63372 612 9 if if IN 63372 612 10 the the DT 63372 612 11 observer observer NN 63372 612 12 has have VBZ 63372 612 13 to to TO 63372 612 14 make make VB 63372 612 15 his -PRON- PRP$ 63372 612 16 measurements measurement NNS 63372 612 17 in in IN 63372 612 18 a a DT 63372 612 19 frame frame NN 63372 612 20 of of IN 63372 612 21 reference reference NN 63372 612 22 moving move VBG 63372 612 23 uniformly uniformly RB 63372 612 24 through through IN 63372 612 25 space space NN 63372 612 26 ; ; : 63372 612 27 and and CC 63372 612 28 for for IN 63372 612 29 measurements measurement NNS 63372 612 30 in in IN 63372 612 31 a a DT 63372 612 32 frame frame NN 63372 612 33 like like IN 63372 612 34 the the DT 63372 612 35 earth earth NN 63372 612 36 , , , 63372 612 37 which which WDT 63372 612 38 moves move VBZ 63372 612 39 with with IN 63372 612 40 changing change VBG 63372 612 41 speed speed NN 63372 612 42 and and CC 63372 612 43 direction direction NN 63372 612 44 about about IN 63372 612 45 the the DT 63372 612 46 sun sun NN 63372 612 47 and and CC 63372 612 48 rotates rotate VBZ 63372 612 49 on on IN 63372 612 50 its -PRON- PRP$ 63372 612 51 axis axis NN 63372 612 52 at at IN 63372 612 53 the the DT 63372 612 54 same same JJ 63372 612 55 time time NN 63372 612 56 , , , 63372 612 57 the the DT 63372 612 58 complication complication NN 63372 612 59 is be VBZ 63372 612 60 not not RB 63372 612 61 of of IN 63372 612 62 so so RB 63372 612 63 decisive decisive VB 63372 612 64 a a DT 63372 612 65 nature nature NN 63372 612 66 as as IN 63372 612 67 to to TO 63372 612 68 give give VB 63372 612 69 us -PRON- PRP 63372 612 70 any any DT 63372 612 71 clue clue NN 63372 612 72 to to IN 63372 612 73 the the DT 63372 612 74 earth earth NN 63372 612 75 's 's POS 63372 612 76 absolute absolute JJ 63372 612 77 motion motion NN 63372 612 78 in in IN 63372 612 79 space space NN 63372 612 80 . . . 63372 613 1 But but CC 63372 613 2 mechanics mechanic NNS 63372 613 3 , , , 63372 613 4 albeit albeit IN 63372 613 5 the the DT 63372 613 6 oldest old JJS 63372 613 7 , , , 63372 613 8 is be VBZ 63372 613 9 yet yet RB 63372 613 10 only only RB 63372 613 11 one one CD 63372 613 12 of of IN 63372 613 13 the the DT 63372 613 14 physical physical JJ 63372 613 15 sciences science NNS 63372 613 16 . . . 63372 614 1 The the DT 63372 614 2 great great JJ 63372 614 3 advance advance NN 63372 614 4 made make VBN 63372 614 5 in in IN 63372 614 6 the the DT 63372 614 7 mathematical mathematical JJ 63372 614 8 formulation formulation NN 63372 614 9 of of IN 63372 614 10 optical optical JJ 63372 614 11 and and CC 63372 614 12 electromagnetic electromagnetic JJ 63372 614 13 theory theory NN 63372 614 14 during during IN 63372 614 15 the the DT 63372 614 16 nineteenth nineteenth JJ 63372 614 17 century century NN 63372 614 18 revived revive VBD 63372 614 19 the the DT 63372 614 20 hope hope NN 63372 614 21 of of IN 63372 614 22 discovering discover VBG 63372 614 23 absolute absolute JJ 63372 614 24 motion motion NN 63372 614 25 in in IN 63372 614 26 space space NN 63372 614 27 by by IN 63372 614 28 means mean NNS 63372 614 29 of of IN 63372 614 30 the the DT 63372 614 31 laws law NNS 63372 614 32 derived derive VBN 63372 614 33 from from IN 63372 614 34 this this DT 63372 614 35 theory theory NN 63372 614 36 . . . 63372 615 1 ] ] -RRB- 63372 615 2 264 264 CD 63372 615 3 [ [ -LRB- 63372 615 4 Newton Newton NNP 63372 615 5 had have VBD 63372 615 6 supposed suppose VBN 63372 615 7 light light NN 63372 615 8 to to TO 63372 615 9 be be VB 63372 615 10 a a DT 63372 615 11 material material NN 63372 615 12 emanation emanation NN 63372 615 13 , , , 63372 615 14 and and CC 63372 615 15 if if IN 63372 615 16 it -PRON- PRP 63372 615 17 were be VBD 63372 615 18 so so RB 63372 615 19 , , , 63372 615 20 its -PRON- PRP$ 63372 615 21 passage passage NN 63372 615 22 across across IN 63372 615 23 " " `` 63372 615 24 empty empty JJ 63372 615 25 space space NN 63372 615 26 " " '' 63372 615 27 from from IN 63372 615 28 sun sun NN 63372 615 29 and and CC 63372 615 30 stars star VBZ 63372 615 31 to to IN 63372 615 32 the the DT 63372 615 33 earth earth NN 63372 615 34 raised raise VBD 63372 615 35 no no DT 63372 615 36 problem problem NN 63372 615 37 . . . 63372 616 1 But but CC 63372 616 2 against against IN 63372 616 3 Newton Newton NNP 63372 616 4 's 's POS 63372 616 5 theory theory NN 63372 616 6 Huyghens Huyghens NNP 63372 616 7 , , , 63372 616 8 the the DT 63372 616 9 Dutch dutch JJ 63372 616 10 astronomer astronomer NN 63372 616 11 , , , 63372 616 12 advanced advance VBD 63372 616 13 the the DT 63372 616 14 idea idea NN 63372 616 15 that that IN 63372 616 16 light light NN 63372 616 17 was be VBD 63372 616 18 a a DT 63372 616 19 wave wave NN 63372 616 20 motion motion NN 63372 616 21 of of IN 63372 616 22 some some DT 63372 616 23 sort sort NN 63372 616 24 . . . 63372 617 1 During during IN 63372 617 2 the the DT 63372 617 3 Newtonian newtonian JJ 63372 617 4 period period NN 63372 617 5 and and CC 63372 617 6 for for IN 63372 617 7 many many JJ 63372 617 8 years year NNS 63372 617 9 after after IN 63372 617 10 , , , 63372 617 11 the the DT 63372 617 12 corpuscular corpuscular JJ 63372 617 13 theory theory NN 63372 617 14 prevailed prevail VBD 63372 617 15 ; ; : 63372 617 16 but but CC 63372 617 17 eventually eventually RB 63372 617 18 the the DT 63372 617 19 tables table NNS 63372 617 20 were be VBD 63372 617 21 turned turn VBN 63372 617 22 . . . 63372 618 1 ] ] -RRB- 63372 618 2 * * NFP 63372 618 3 [ [ -LRB- 63372 618 4 Men man NNS 63372 618 5 made make VBD 63372 618 6 rays ray NNS 63372 618 7 of of IN 63372 618 8 light light NN 63372 618 9 interfere interfere VB 63372 618 10 , , , 63372 618 11 producing produce VBG 63372 618 12 darkness darkness NN 63372 618 13 ( ( -LRB- 63372 618 14 see see VB 63372 618 15 page page NN 63372 618 16 61 61 CD 63372 618 17 ) ) -RRB- 63372 618 18 . . . 63372 619 1 From from IN 63372 619 2 this this DT 63372 619 3 , , , 63372 619 4 and and CC 63372 619 5 from from IN 63372 619 6 other other JJ 63372 619 7 phenomena phenomenon NNS 63372 619 8 like like IN 63372 619 9 polarization polarization NN 63372 619 10 , , , 63372 619 11 they -PRON- PRP 63372 619 12 had have VBD 63372 619 13 deduced deduce VBN 63372 619 14 that that DT 63372 619 15 light light NN 63372 619 16 was be VBD 63372 619 17 a a DT 63372 619 18 form form NN 63372 619 19 of of IN 63372 619 20 wave wave NN 63372 619 21 motion motion NN 63372 619 22 similar similar JJ 63372 619 23 to to IN 63372 619 24 water water NN 63372 619 25 ripples ripple NNS 63372 619 26 ; ; , 63372 619 27 for for IN 63372 619 28 these these DT 63372 619 29 interfere interfere JJ 63372 619 30 , , , 63372 619 31 producing produce VBG 63372 619 32 level level NN 63372 619 33 surfaces surface NNS 63372 619 34 , , , 63372 619 35 or or CC 63372 619 36 reinforce reinforce VB 63372 619 37 each each DT 63372 619 38 other other JJ 63372 619 39 , , , 63372 619 40 producing produce VBG 63372 619 41 waves wave NNS 63372 619 42 of of IN 63372 619 43 abnormal abnormal JJ 63372 619 44 height height NN 63372 619 45 . . . 63372 620 1 But but CC 63372 620 2 if if IN 63372 620 3 light light NN 63372 620 4 were be VBD 63372 620 5 to to TO 63372 620 6 be be VB 63372 620 7 regarded regard VBN 63372 620 8 as as IN 63372 620 9 a a DT 63372 620 10 form form NN 63372 620 11 of of IN 63372 620 12 wave wave NN 63372 620 13 motion motion NN 63372 620 14 -- -- : 63372 620 15 and and CC 63372 620 16 the the DT 63372 620 17 phenomena phenomenon NNS 63372 620 18 could could MD 63372 620 19 apparently apparently RB 63372 620 20 be be VB 63372 620 21 explained explain VBN 63372 620 22 on on IN 63372 620 23 no no DT 63372 620 24 other other JJ 63372 620 25 basis basis NN 63372 620 26 -- -- : 63372 620 27 then then RB 63372 620 28 there there EX 63372 620 29 must must MD 63372 620 30 be be VB 63372 620 31 some some DT 63372 620 32 medium medium NN 63372 620 33 capable capable JJ 63372 620 34 of of IN 63372 620 35 undergoing undergo VBG 63372 620 36 this this DT 63372 620 37 form form NN 63372 620 38 of of IN 63372 620 39 motion motion NN 63372 620 40 . . . 63372 621 1 ] ] -RRB- 63372 621 2 135 135 CD 63372 621 3 [ [ -LRB- 63372 621 4 Transmission transmission NN 63372 621 5 of of IN 63372 621 6 waves wave NNS 63372 621 7 across across IN 63372 621 8 empty empty JJ 63372 621 9 space space NN 63372 621 10 without without IN 63372 621 11 the the DT 63372 621 12 aid aid NN 63372 621 13 of of IN 63372 621 14 an an DT 63372 621 15 intermediary intermediary JJ 63372 621 16 material material NN 63372 621 17 medium medium NN 63372 621 18 would would MD 63372 621 19 be be VB 63372 621 20 " " `` 63372 621 21 action action NN 63372 621 22 at at IN 63372 621 23 a a DT 63372 621 24 distance distance NN 63372 621 25 , , , 63372 621 26 " " '' 63372 621 27 an an DT 63372 621 28 idea idea NN 63372 621 29 repugnant repugnant JJ 63372 621 30 to to IN 63372 621 31 us -PRON- PRP 63372 621 32 . . . 63372 622 1 Trammeled trammel VBN 63372 622 2 by by IN 63372 622 3 our -PRON- PRP$ 63372 622 4 tactual tactual NN 63372 622 5 , , , 63372 622 6 wire wire NN 63372 622 7 - - HYPH 63372 622 8 pulling pull VBG 63372 622 9 conceptions conception NNS 63372 622 10 of of IN 63372 622 11 a a DT 63372 622 12 material material JJ 63372 622 13 universe universe NN 63372 622 14 , , , 63372 622 15 we -PRON- PRP 63372 622 16 could could MD 63372 622 17 not not RB 63372 622 18 accustom accustom VB 63372 622 19 ourselves -PRON- PRP 63372 622 20 to to IN 63372 622 21 the the DT 63372 622 22 idea idea NN 63372 622 23 of of IN 63372 622 24 something something NN 63372 622 25 -- -- : 63372 622 26 even even RB 63372 622 27 so so RB 63372 622 28 immaterial immaterial JJ 63372 622 29 a a DT 63372 622 30 something something NN 63372 622 31 as as IN 63372 622 32 a a DT 63372 622 33 wave wave NN 63372 622 34 -- -- : 63372 622 35 being be VBG 63372 622 36 transmitted transmit VBN 63372 622 37 by by IN 63372 622 38 nothing nothing NN 63372 622 39 . . . 63372 623 1 We -PRON- PRP 63372 623 2 needed need VBD 63372 623 3 a a DT 63372 623 4 word word NN 63372 623 5 -- -- : 63372 623 6 ether ether NN 63372 623 7 -- -- : 63372 623 8 to to TO 63372 623 9 carry carry VB 63372 623 10 light light NN 63372 623 11 if if IN 63372 623 12 not not RB 63372 623 13 to to TO 63372 623 14 shed shed VB 63372 623 15 it -PRON- PRP 63372 623 16 ; ; : 63372 623 17 just just RB 63372 623 18 as as IN 63372 623 19 we -PRON- PRP 63372 623 20 need need VBP 63372 623 21 a a DT 63372 623 22 word word NN 63372 623 23 -- -- : 63372 623 24 inertia inertia NN 63372 623 25 -- -- : 63372 623 26 to to TO 63372 623 27 carry carry VB 63372 623 28 a a DT 63372 623 29 projectile projectile NN 63372 623 30 in in IN 63372 623 31 its -PRON- PRP$ 63372 623 32 flight flight NN 63372 623 33 . . . 63372 624 1 ] ] -RRB- 63372 624 2 231 231 CD 63372 624 3 [ [ -LRB- 63372 624 4 It -PRON- PRP 63372 624 5 was be VBD 63372 624 6 necessary necessary JJ 63372 624 7 to to TO 63372 624 8 invest invest VB 63372 624 9 this this DT 63372 624 10 medium medium NN 63372 624 11 with with IN 63372 624 12 properties property NNS 63372 624 13 to to TO 63372 624 14 account account VB 63372 624 15 for for IN 63372 624 16 the the DT 63372 624 17 observed observed JJ 63372 624 18 facts fact NNS 63372 624 19 . . . 63372 625 1 On on IN 63372 625 2 the the DT 63372 625 3 whole whole NN 63372 625 4 it -PRON- PRP 63372 625 5 was be VBD 63372 625 6 regarded regard VBN 63372 625 7 as as IN 63372 625 8 the the DT 63372 625 9 perfect perfect JJ 63372 625 10 fluid fluid NN 63372 625 11 . . . 63372 626 1 ] ] -RRB- 63372 626 2 235 235 CD 63372 626 3 [ [ -LRB- 63372 626 4 The the DT 63372 626 5 ether ether NN 63372 626 6 was be VBD 63372 626 7 imagined imagine VBN 63372 626 8 as as IN 63372 626 9 an an DT 63372 626 10 all all RB 63372 626 11 - - HYPH 63372 626 12 pervading pervading JJ 63372 626 13 , , , 63372 626 14 imponderable imponderable JJ 63372 626 15 substance substance NN 63372 626 16 filling fill VBG 63372 626 17 the the DT 63372 626 18 vast vast JJ 63372 626 19 emptiness emptiness NN 63372 626 20 through through IN 63372 626 21 which which WDT 63372 626 22 light light NN 63372 626 23 reaches reach VBZ 63372 626 24 us -PRON- PRP 63372 626 25 , , , 63372 626 26 and and CC 63372 626 27 as as RB 63372 626 28 well well RB 63372 626 29 the the DT 63372 626 30 intermolecular intermolecular JJ 63372 626 31 spaces space NNS 63372 626 32 of of IN 63372 626 33 all all DT 63372 626 34 matter matter NN 63372 626 35 . . . 63372 627 1 Nothing nothing NN 63372 627 2 more more RBR 63372 627 3 was be VBD 63372 627 4 known know VBN 63372 627 5 definitely definitely RB 63372 627 6 , , , 63372 627 7 yet yet CC 63372 627 8 this this DT 63372 627 9 much much RB 63372 627 10 served serve VBD 63372 627 11 as as IN 63372 627 12 a a DT 63372 627 13 good good JJ 63372 627 14 working working NN 63372 627 15 hypothesis hypothesis NN 63372 627 16 on on IN 63372 627 17 the the DT 63372 627 18 basis basis NN 63372 627 19 of of IN 63372 627 20 which which WDT 63372 627 21 Maxwell Maxwell NNP 63372 627 22 was be VBD 63372 627 23 enabled enable VBN 63372 627 24 to to TO 63372 627 25 predict predict VB 63372 627 26 the the DT 63372 627 27 possibility possibility NN 63372 627 28 of of IN 63372 627 29 radio radio NN 63372 627 30 communication communication NN 63372 627 31 . . . 63372 628 1 By by IN 63372 628 2 its -PRON- PRP$ 63372 628 3 fruits fruit NNS 63372 628 4 the the DT 63372 628 5 ether ether NN 63372 628 6 hypothesis hypothesis NN 63372 628 7 justified justify VBD 63372 628 8 itself -PRON- PRP 63372 628 9 ; ; : 63372 628 10 but but CC 63372 628 11 does do VBZ 63372 628 12 the the DT 63372 628 13 ether ether NN 63372 628 14 exist exist VB 63372 628 15 ? ? . 63372 629 1 ] ] -RRB- 63372 629 2 231 231 CD 63372 629 3 THE THE NNP 63372 629 4 ETHER ETHER NNP 63372 629 5 AND and CC 63372 629 6 ABSOLUTE ABSOLUTE NNP 63372 629 7 MOTION MOTION NNP 63372 629 8 [ [ -LRB- 63372 629 9 If if IN 63372 629 10 it -PRON- PRP 63372 629 11 does do VBZ 63372 629 12 exist exist VB 63372 629 13 , , , 63372 629 14 it -PRON- PRP 63372 629 15 seems seem VBZ 63372 629 16 quite quite RB 63372 629 17 necessary necessary JJ 63372 629 18 , , , 63372 629 19 on on IN 63372 629 20 mere mere JJ 63372 629 21 philosophical philosophical JJ 63372 629 22 grounds ground NNS 63372 629 23 , , , 63372 629 24 that that IN 63372 629 25 it -PRON- PRP 63372 629 26 shall shall MD 63372 629 27 be be VB 63372 629 28 eligible eligible JJ 63372 629 29 to to TO 63372 629 30 serve serve VB 63372 629 31 as as IN 63372 629 32 the the DT 63372 629 33 long long RB 63372 629 34 - - HYPH 63372 629 35 sought seek VBN 63372 629 36 reference reference NN 63372 629 37 frame frame NN 63372 629 38 for for IN 63372 629 39 absolute absolute JJ 63372 629 40 motion motion NN 63372 629 41 . . . 63372 630 1 Surely surely RB 63372 630 2 it -PRON- PRP 63372 630 3 does do VBZ 63372 630 4 not not RB 63372 630 5 make make VB 63372 630 6 sense sense NN 63372 630 7 to to TO 63372 630 8 speak speak VB 63372 630 9 of of IN 63372 630 10 a a DT 63372 630 11 homogeneous homogeneous JJ 63372 630 12 medium medium NN 63372 630 13 filling fill VBG 63372 630 14 all all DT 63372 630 15 space space NN 63372 630 16 , , , 63372 630 17 sufficiently sufficiently RB 63372 630 18 material material JJ 63372 630 19 to to TO 63372 630 20 serve serve VB 63372 630 21 as as IN 63372 630 22 a a DT 63372 630 23 means means NN 63372 630 24 of of IN 63372 630 25 communication communication NN 63372 630 26 between between IN 63372 630 27 remote remote JJ 63372 630 28 worlds world NNS 63372 630 29 , , , 63372 630 30 and and CC 63372 630 31 in in IN 63372 630 32 the the DT 63372 630 33 next next JJ 63372 630 34 breath breath NN 63372 630 35 to to TO 63372 630 36 deny deny VB 63372 630 37 that that DT 63372 630 38 motion motion NN 63372 630 39 with with IN 63372 630 40 respect respect NN 63372 630 41 to to IN 63372 630 42 this this DT 63372 630 43 medium medium NN 63372 630 44 is be VBZ 63372 630 45 a a DT 63372 630 46 concept concept NN 63372 630 47 of of IN 63372 630 48 significance significance NN 63372 630 49 . . . 63372 631 1 ] ] -RRB- 63372 631 2 * * NFP 63372 631 3 [ [ -LRB- 63372 631 4 Such such PDT 63372 631 5 a a DT 63372 631 6 system system NN 63372 631 7 of of IN 63372 631 8 reference reference NN 63372 631 9 as as IN 63372 631 10 was be VBD 63372 631 11 offered offer VBN 63372 631 12 by by IN 63372 631 13 the the DT 63372 631 14 ether ether NN 63372 631 15 , , , 63372 631 16 coextensive coextensive JJ 63372 631 17 with with IN 63372 631 18 the the DT 63372 631 19 entire entire JJ 63372 631 20 known know VBN 63372 631 21 region region NN 63372 631 22 of of IN 63372 631 23 the the DT 63372 631 24 universe universe NN 63372 631 25 , , , 63372 631 26 must must MD 63372 631 27 necessarily necessarily RB 63372 631 28 serve serve VB 63372 631 29 for for IN 63372 631 30 all all DT 63372 631 31 motions motion NNS 63372 631 32 within within IN 63372 631 33 our -PRON- PRP$ 63372 631 34 perceptions perception NNS 63372 631 35 . . . 63372 632 1 ] ] -RRB- 63372 632 2 186 186 CD 63372 632 3 [ [ -LRB- 63372 632 4 The the DT 63372 632 5 conclusion conclusion NN 63372 632 6 seems seem VBZ 63372 632 7 inescapable inescapable JJ 63372 632 8 that that IN 63372 632 9 motion motion NN 63372 632 10 with with IN 63372 632 11 respect respect NN 63372 632 12 to to IN 63372 632 13 the the DT 63372 632 14 ether ether NN 63372 632 15 ought ought MD 63372 632 16 to to TO 63372 632 17 be be VB 63372 632 18 of of IN 63372 632 19 a a DT 63372 632 20 sufficiently sufficiently RB 63372 632 21 unique unique JJ 63372 632 22 character character NN 63372 632 23 to to TO 63372 632 24 stand stand VB 63372 632 25 out out RP 63372 632 26 above above IN 63372 632 27 all all DT 63372 632 28 other other JJ 63372 632 29 motion motion NN 63372 632 30 . . . 63372 633 1 In in IN 63372 633 2 particular particular JJ 63372 633 3 , , , 63372 633 4 we -PRON- PRP 63372 633 5 ought ought MD 63372 633 6 to to TO 63372 633 7 be be VB 63372 633 8 able able JJ 63372 633 9 to to TO 63372 633 10 use use VB 63372 633 11 the the DT 63372 633 12 ether ether NN 63372 633 13 to to TO 63372 633 14 define define VB 63372 633 15 , , , 63372 633 16 somewhere somewhere RB 63372 633 17 , , , 63372 633 18 a a DT 63372 633 19 system system NN 63372 633 20 of of IN 63372 633 21 axes axis NNS 63372 633 22 fixed fix VBN 63372 633 23 with with IN 63372 633 24 respect respect NN 63372 633 25 to to IN 63372 633 26 the the DT 63372 633 27 ether ether NN 63372 633 28 , , , 63372 633 29 the the DT 63372 633 30 use use NN 63372 633 31 of of IN 63372 633 32 which which WDT 63372 633 33 would would MD 63372 633 34 lead lead VB 63372 633 35 to to IN 63372 633 36 natural natural JJ 63372 633 37 laws law NNS 63372 633 38 of of IN 63372 633 39 a a DT 63372 633 40 uniquely uniquely RB 63372 633 41 simply simply RB 63372 633 42 description description NN 63372 633 43 . . . 63372 634 1 Maxwell Maxwell NNP 63372 634 2 's 's POS 63372 634 3 work work NN 63372 634 4 added add VBD 63372 634 5 fuel fuel NN 63372 634 6 to to IN 63372 634 7 this this DT 63372 634 8 hope hope NN 63372 634 9 . . . 63372 635 1 ] ] -RRB- 63372 635 2 * * NFP 63372 635 3 [ [ -LRB- 63372 635 4 During during IN 63372 635 5 the the DT 63372 635 6 last last JJ 63372 635 7 century century NN 63372 635 8 , , , 63372 635 9 after after IN 63372 635 10 the the DT 63372 635 11 units unit NNS 63372 635 12 of of IN 63372 635 13 electricity electricity NN 63372 635 14 had have VBD 63372 635 15 been be VBN 63372 635 16 defined define VBN 63372 635 17 , , , 63372 635 18 one one CD 63372 635 19 set set NN 63372 635 20 for for IN 63372 635 21 static static JJ 63372 635 22 electrical electrical JJ 63372 635 23 calculations calculation NNS 63372 635 24 and and CC 63372 635 25 one one CD 63372 635 26 for for IN 63372 635 27 electromagnetic electromagnetic JJ 63372 635 28 calculations calculation NNS 63372 635 29 , , , 63372 635 30 it -PRON- PRP 63372 635 31 was be VBD 63372 635 32 found find VBN 63372 635 33 that that IN 63372 635 34 the the DT 63372 635 35 ratio ratio NN 63372 635 36 of of IN 63372 635 37 the the DT 63372 635 38 metric metric JJ 63372 635 39 units unit NNS 63372 635 40 of of IN 63372 635 41 capacity capacity NN 63372 635 42 for for IN 63372 635 43 the the DT 63372 635 44 two two CD 63372 635 45 systems system NNS 63372 635 46 was be VBD 63372 635 47 numerically numerically RB 63372 635 48 equal equal JJ 63372 635 49 to to IN 63372 635 50 what what WP 63372 635 51 had have VBD 63372 635 52 already already RB 63372 635 53 been be VBN 63372 635 54 found find VBN 63372 635 55 as as IN 63372 635 56 the the DT 63372 635 57 velocity velocity NN 63372 635 58 with with IN 63372 635 59 which which WDT 63372 635 60 light light NN 63372 635 61 is be VBZ 63372 635 62 transmitted transmit VBN 63372 635 63 through through IN 63372 635 64 the the DT 63372 635 65 hypothetical hypothetical JJ 63372 635 66 ether ether NN 63372 635 67 . . . 63372 636 1 One one CD 63372 636 2 definition definition NN 63372 636 3 refers refer VBZ 63372 636 4 to to IN 63372 636 5 electricity electricity NN 63372 636 6 at at IN 63372 636 7 rest rest NN 63372 636 8 , , , 63372 636 9 the the DT 63372 636 10 other other JJ 63372 636 11 to to TO 63372 636 12 electricity electricity NN 63372 636 13 in in IN 63372 636 14 motion motion NN 63372 636 15 . . . 63372 637 1 Maxwell Maxwell NNP 63372 637 2 , , , 63372 637 3 with with IN 63372 637 4 little little JJ 63372 637 5 more more RBR 63372 637 6 working working JJ 63372 637 7 basis basis NN 63372 637 8 than than IN 63372 637 9 this this DT 63372 637 10 , , , 63372 637 11 undertook undertake VBD 63372 637 12 to to TO 63372 637 13 prove prove VB 63372 637 14 that that IN 63372 637 15 electrical electrical JJ 63372 637 16 and and CC 63372 637 17 optical optical JJ 63372 637 18 phenomena phenomenon NNS 63372 637 19 were be VBD 63372 637 20 merely merely RB 63372 637 21 two two CD 63372 637 22 aspects aspect NNS 63372 637 23 of of IN 63372 637 24 a a DT 63372 637 25 common common JJ 63372 637 26 cause,]235 cause,]235 CD 63372 637 27 [ [ -LRB- 63372 637 28 to to TO 63372 637 29 which which WDT 63372 637 30 the the DT 63372 637 31 general general JJ 63372 637 32 designation designation NN 63372 637 33 of of IN 63372 637 34 " " `` 63372 637 35 electromagnetic electromagnetic JJ 63372 637 36 waves wave NNS 63372 637 37 " " '' 63372 637 38 was be VBD 63372 637 39 applied apply VBN 63372 637 40 . . . 63372 638 1 Maxwell Maxwell NNP 63372 638 2 treated treat VBD 63372 638 3 this this DT 63372 638 4 topic topic NN 63372 638 5 in in IN 63372 638 6 great great JJ 63372 638 7 fullness fullness NN 63372 638 8 and and CC 63372 638 9 with with IN 63372 638 10 complete complete JJ 63372 638 11 success success NN 63372 638 12 . . . 63372 639 1 In in IN 63372 639 2 particular particular JJ 63372 639 3 , , , 63372 639 4 he -PRON- PRP 63372 639 5 derived derive VBD 63372 639 6 certain certain JJ 63372 639 7 equations equation NNS 63372 639 8 giving give VBG 63372 639 9 the the DT 63372 639 10 relations relation NNS 63372 639 11 between between IN 63372 639 12 the the DT 63372 639 13 various various JJ 63372 639 14 electrical electrical JJ 63372 639 15 quantities quantity NNS 63372 639 16 involved involve VBN 63372 639 17 in in IN 63372 639 18 a a DT 63372 639 19 given give VBN 63372 639 20 phenomenon phenomenon NN 63372 639 21 . . . 63372 640 1 But but CC 63372 640 2 it -PRON- PRP 63372 640 3 was be VBD 63372 640 4 found find VBN 63372 640 5 , , , 63372 640 6 extraordinarily extraordinarily RB 63372 640 7 enough enough RB 63372 640 8 , , , 63372 640 9 that that IN 63372 640 10 these these DT 63372 640 11 relations relation NNS 63372 640 12 were be VBD 63372 640 13 of of IN 63372 640 14 such such JJ 63372 640 15 character character NN 63372 640 16 that that IN 63372 640 17 , , , 63372 640 18 when when WRB 63372 640 19 we -PRON- PRP 63372 640 20 subject subject VBP 63372 640 21 the the DT 63372 640 22 quantities quantity NNS 63372 640 23 involved involve VBN 63372 640 24 to to IN 63372 640 25 a a DT 63372 640 26 change change NN 63372 640 27 of of IN 63372 640 28 coordinate coordinate JJ 63372 640 29 axes axis NNS 63372 640 30 , , , 63372 640 31 the the DT 63372 640 32 transformed transform VBN 63372 640 33 quantities quantity NNS 63372 640 34 did do VBD 63372 640 35 not not RB 63372 640 36 preserve preserve VB 63372 640 37 these these DT 63372 640 38 relations relation NNS 63372 640 39 if if IN 63372 640 40 the the DT 63372 640 41 new new JJ 63372 640 42 axes axis NNS 63372 640 43 happened happen VBD 63372 640 44 to to TO 63372 640 45 be be VB 63372 640 46 in in IN 63372 640 47 motion motion NN 63372 640 48 with with IN 63372 640 49 respect respect NN 63372 640 50 to to IN 63372 640 51 the the DT 63372 640 52 original original JJ 63372 640 53 ones one NNS 63372 640 54 . . . 63372 641 1 This this DT 63372 641 2 , , , 63372 641 3 of of IN 63372 641 4 course course NN 63372 641 5 , , , 63372 641 6 was be VBD 63372 641 7 taken take VBN 63372 641 8 to to TO 63372 641 9 indicate indicate VB 63372 641 10 that that DT 63372 641 11 motion motion NN 63372 641 12 really really RB 63372 641 13 is be VBZ 63372 641 14 absolute absolute JJ 63372 641 15 when when WRB 63372 641 16 we -PRON- PRP 63372 641 17 come come VBP 63372 641 18 to to TO 63372 641 19 deal deal VB 63372 641 20 with with IN 63372 641 21 electromagnetic electromagnetic JJ 63372 641 22 phenomena phenomenon NNS 63372 641 23 , , , 63372 641 24 and and CC 63372 641 25 that that IN 63372 641 26 the the DT 63372 641 27 ether ether NN 63372 641 28 which which WDT 63372 641 29 carries carry VBZ 63372 641 30 the the DT 63372 641 31 electromagnetic electromagnetic JJ 63372 641 32 waves wave NNS 63372 641 33 really really RB 63372 641 34 may may MD 63372 641 35 be be VB 63372 641 36 looked look VBN 63372 641 37 to to IN 63372 641 38 to to TO 63372 641 39 display display VB 63372 641 40 the the DT 63372 641 41 properties property NNS 63372 641 42 of of IN 63372 641 43 an an DT 63372 641 44 absolute absolute JJ 63372 641 45 reference reference NN 63372 641 46 frame frame NN 63372 641 47 . . . 63372 642 1 Reference reference NN 63372 642 2 to to IN 63372 642 3 the the DT 63372 642 4 phenomenon phenomenon NN 63372 642 5 of of IN 63372 642 6 aberration aberration NN 63372 642 7 , , , 63372 642 8 which which WDT 63372 642 9 Dr. Dr. NNP 63372 642 10 Pickering Pickering NNP 63372 642 11 has have VBZ 63372 642 12 discussed discuss VBN 63372 642 13 adequately adequately RB 63372 642 14 in in IN 63372 642 15 his -PRON- PRP$ 63372 642 16 essay essay NN 63372 642 17 and and CC 63372 642 18 which which WDT 63372 642 19 I -PRON- PRP 63372 642 20 need need VBP 63372 642 21 therefore therefore RB 63372 642 22 mention mention VB 63372 642 23 here here RB 63372 642 24 only only RB 63372 642 25 by by IN 63372 642 26 name name NN 63372 642 27 , , , 63372 642 28 indicated indicate VBD 63372 642 29 that that IN 63372 642 30 the the DT 63372 642 31 ether ether NN 63372 642 32 was be VBD 63372 642 33 not not RB 63372 642 34 dragged drag VBN 63372 642 35 along along RP 63372 642 36 by by IN 63372 642 37 material material JJ 63372 642 38 bodies body NNS 63372 642 39 over over RB 63372 642 40 and and CC 63372 642 41 through through IN 63372 642 42 which which WDT 63372 642 43 it -PRON- PRP 63372 642 44 might may MD 63372 642 45 pass pass VB 63372 642 46 . . . 63372 643 1 It -PRON- PRP 63372 643 2 seemed seem VBD 63372 643 3 that that IN 63372 643 4 it -PRON- PRP 63372 643 5 must must MD 63372 643 6 filter filter VB 63372 643 7 through through IN 63372 643 8 such such JJ 63372 643 9 bodies body NNS 63372 643 10 , , , 63372 643 11 presumably presumably RB 63372 643 12 via via IN 63372 643 13 the the DT 63372 643 14 molecular molecular JJ 63372 643 15 interstices interstice NNS 63372 643 16 , , , 63372 643 17 without without IN 63372 643 18 appreciable appreciable JJ 63372 643 19 opposition opposition NN 63372 643 20 . . . 63372 644 1 Were be VBD 63372 644 2 this this DT 63372 644 3 not not RB 63372 644 4 the the DT 63372 644 5 case case NN 63372 644 6 , , , 63372 644 7 we -PRON- PRP 63372 644 8 should should MD 63372 644 9 be be VB 63372 644 10 in in IN 63372 644 11 some some DT 63372 644 12 doubt doubt NN 63372 644 13 as as IN 63372 644 14 to to IN 63372 644 15 the the DT 63372 644 16 possibility possibility NN 63372 644 17 of of IN 63372 644 18 observing observe VBG 63372 644 19 the the DT 63372 644 20 velocity velocity NN 63372 644 21 through through IN 63372 644 22 the the DT 63372 644 23 ether ether NN 63372 644 24 of of IN 63372 644 25 material material JJ 63372 644 26 bodies body NNS 63372 644 27 ; ; : 63372 644 28 if if IN 63372 644 29 the the DT 63372 644 30 ether ether NN 63372 644 31 adjacent adjacent JJ 63372 644 32 to to IN 63372 644 33 such such JJ 63372 644 34 bodies body NNS 63372 644 35 is be VBZ 63372 644 36 not not RB 63372 644 37 dragged drag VBN 63372 644 38 along along IN 63372 644 39 or or CC 63372 644 40 thrown throw VBN 63372 644 41 into into IN 63372 644 42 eddies eddy NNS 63372 644 43 , , , 63372 644 44 but but CC 63372 644 45 " " `` 63372 644 46 stands stand VBZ 63372 644 47 still still RB 63372 644 48 " " '' 63372 644 49 while while IN 63372 644 50 the the DT 63372 644 51 bodies body NNS 63372 644 52 pass pass VBP 63372 644 53 , , , 63372 644 54 there there EX 63372 644 55 seems seem VBZ 63372 644 56 no no DT 63372 644 57 imaginable imaginable JJ 63372 644 58 reason reason NN 63372 644 59 for for IN 63372 644 60 anything anything NN 63372 644 61 other other JJ 63372 644 62 than than IN 63372 644 63 the the DT 63372 644 64 complete complete JJ 63372 644 65 success success NN 63372 644 66 of of IN 63372 644 67 such such JJ 63372 644 68 observations observation NNS 63372 644 69 . . . 63372 645 1 And and CC 63372 645 2 of of IN 63372 645 3 course course NN 63372 645 4 these these DT 63372 645 5 are be VBP 63372 645 6 of of IN 63372 645 7 the the DT 63372 645 8 utmost utmost JJ 63372 645 9 importance importance NN 63372 645 10 , , , 63372 645 11 the the DT 63372 645 12 moment moment NN 63372 645 13 we -PRON- PRP 63372 645 14 assign assign VBP 63372 645 15 to to IN 63372 645 16 the the DT 63372 645 17 ether ether NN 63372 645 18 the the DT 63372 645 19 rôle rôle NNP 63372 645 20 of of IN 63372 645 21 absolute absolute JJ 63372 645 22 reference reference NN 63372 645 23 frame frame NN 63372 645 24 . . . 63372 646 1 THE the DT 63372 646 2 EARTH EARTH NNP 63372 646 3 AND and CC 63372 646 4 THE the DT 63372 646 5 ETHER ETHER NNP 63372 646 6 One one CD 63372 646 7 body body NN 63372 646 8 in in IN 63372 646 9 motion motion NN 63372 646 10 with with IN 63372 646 11 respect respect NN 63372 646 12 to to IN 63372 646 13 the the DT 63372 646 14 ether ether NN 63372 646 15 is be VBZ 63372 646 16 our -PRON- PRP$ 63372 646 17 earth earth NN 63372 646 18 itself -PRON- PRP 63372 646 19 . . . 63372 647 1 We -PRON- PRP 63372 647 2 do do VBP 63372 647 3 not not RB 63372 647 4 know know VB 63372 647 5 in in IN 63372 647 6 advance advance NN 63372 647 7 in in IN 63372 647 8 what what WDT 63372 647 9 direction direction NN 63372 647 10 to to TO 63372 647 11 expect expect VB 63372 647 12 this this DT 63372 647 13 motion motion NN 63372 647 14 or or CC 63372 647 15 what what WDT 63372 647 16 magnitude magnitude NN 63372 647 17 to to TO 63372 647 18 anticipate anticipate VB 63372 647 19 that that IN 63372 647 20 it -PRON- PRP 63372 647 21 will will MD 63372 647 22 have have VB 63372 647 23 . . . 63372 648 1 But but CC 63372 648 2 one one CD 63372 648 3 thing thing NN 63372 648 4 is be VBZ 63372 648 5 clear clear JJ 63372 648 6 . . . 63372 649 1 ] ] -RRB- 63372 649 2 * * NFP 63372 649 3 [ [ -LRB- 63372 649 4 In in IN 63372 649 5 its -PRON- PRP$ 63372 649 6 motion motion NN 63372 649 7 around around IN 63372 649 8 the the DT 63372 649 9 sun sun NN 63372 649 10 , , , 63372 649 11 the the DT 63372 649 12 earth earth NN 63372 649 13 has have VBZ 63372 649 14 , , , 63372 649 15 at at IN 63372 649 16 opposite opposite JJ 63372 649 17 points point NNS 63372 649 18 on on IN 63372 649 19 its -PRON- PRP$ 63372 649 20 orbit orbit NN 63372 649 21 , , , 63372 649 22 a a DT 63372 649 23 difference difference NN 63372 649 24 in in IN 63372 649 25 velocity velocity NN 63372 649 26 with with IN 63372 649 27 respect respect NN 63372 649 28 to to IN 63372 649 29 the the DT 63372 649 30 surrounding surround VBG 63372 649 31 medium medium NN 63372 649 32 which which WDT 63372 649 33 is be VBZ 63372 649 34 double double PDT 63372 649 35 its -PRON- PRP$ 63372 649 36 orbital orbital JJ 63372 649 37 velocity velocity NN 63372 649 38 with with IN 63372 649 39 respect respect NN 63372 649 40 to to IN 63372 649 41 the the DT 63372 649 42 sun sun NN 63372 649 43 . . . 63372 650 1 This this DT 63372 650 2 difference difference NN 63372 650 3 comes come VBZ 63372 650 4 to to IN 63372 650 5 37 37 CD 63372 650 6 miles mile NNS 63372 650 7 per per IN 63372 650 8 second second NN 63372 650 9 . . . 63372 651 1 The the DT 63372 651 2 earth earth NN 63372 651 3 should should MD 63372 651 4 therefore therefore RB 63372 651 5 , , , 63372 651 6 at at IN 63372 651 7 some some DT 63372 651 8 time time NN 63372 651 9 in in IN 63372 651 10 the the DT 63372 651 11 year year NN 63372 651 12 , , , 63372 651 13 show show VBP 63372 651 14 a a DT 63372 651 15 velocity velocity NN 63372 651 16 equal equal JJ 63372 651 17 to to IN 63372 651 18 or or CC 63372 651 19 greater great JJR 63372 651 20 than than IN 63372 651 21 18 18 CD 63372 651 22 1/2 1/2 CD 63372 651 23 miles mile NNS 63372 651 24 per per IN 63372 651 25 second second NN 63372 651 26 , , , 63372 651 27 with with IN 63372 651 28 reference reference NN 63372 651 29 to to IN 63372 651 30 the the DT 63372 651 31 universal universal JJ 63372 651 32 medium medium NN 63372 651 33 . . . 63372 652 1 The the DT 63372 652 2 famous famous JJ 63372 652 3 Michelson Michelson NNP 63372 652 4 - - HYPH 63372 652 5 Morley Morley NNP 63372 652 6 experiment experiment NN 63372 652 7 of of IN 63372 652 8 1887 1887 CD 63372 652 9 was be VBD 63372 652 10 carried carry VBN 63372 652 11 out out RP 63372 652 12 with with IN 63372 652 13 the the DT 63372 652 14 expectation expectation NN 63372 652 15 of of IN 63372 652 16 observing observe VBG 63372 652 17 this this DT 63372 652 18 velocity velocity NN 63372 652 19 . . . 63372 653 1 ] ] -RRB- 63372 653 2 267 267 CD 63372 653 3 [ [ -LRB- 63372 653 4 The the DT 63372 653 5 ether ether NN 63372 653 6 , , , 63372 653 7 of of IN 63372 653 8 course course NN 63372 653 9 , , , 63372 653 10 and and CC 63372 653 11 hence hence RB 63372 653 12 velocities velocitie VBZ 63372 653 13 through through IN 63372 653 14 it -PRON- PRP 63372 653 15 , , , 63372 653 16 can can MD 63372 653 17 not not RB 63372 653 18 be be VB 63372 653 19 observed observe VBN 63372 653 20 directly directly RB 63372 653 21 . . . 63372 654 1 But but CC 63372 654 2 it -PRON- PRP 63372 654 3 acts act VBZ 63372 654 4 as as IN 63372 654 5 the the DT 63372 654 6 medium medium NN 63372 654 7 for for IN 63372 654 8 the the DT 63372 654 9 transmission transmission NN 63372 654 10 of of IN 63372 654 11 light light NN 63372 654 12 . . . 63372 655 1 ] ] -RRB- 63372 655 2 * * NFP 63372 655 3 [ [ -LRB- 63372 655 4 If if IN 63372 655 5 the the DT 63372 655 6 velocity velocity NN 63372 655 7 of of IN 63372 655 8 light light NN 63372 655 9 through through IN 63372 655 10 the the DT 63372 655 11 ether ether NN 63372 655 12 is be VBZ 63372 655 13 $ $ $ 63372 655 14 C$ c$ $ 63372 655 15 and and CC 63372 655 16 that that DT 63372 655 17 of of IN 63372 655 18 the the DT 63372 655 19 earth earth NN 63372 655 20 through through IN 63372 655 21 the the DT 63372 655 22 ether ether NN 63372 655 23 is be VBZ 63372 655 24 $ $ $ 63372 655 25 v$ v$ NNP 63372 655 26 , , , 63372 655 27 then then RB 63372 655 28 the the DT 63372 655 29 velocity velocity NN 63372 655 30 of of IN 63372 655 31 light light NN 63372 655 32 past past IN 63372 655 33 the the DT 63372 655 34 earth earth NN 63372 655 35 , , , 63372 655 36 so so RB 63372 655 37 the the DT 63372 655 38 argument argument NN 63372 655 39 runs run VBZ 63372 655 40 , , , 63372 655 41 must must MD 63372 655 42 vary vary VB 63372 655 43 from from IN 63372 655 44 $ $ $ 63372 655 45 C C NNP 63372 655 46 - - : 63372 655 47 v$ v$ NNP 63372 655 48 to to IN 63372 655 49 $ $ $ 63372 655 50 C+v$ c+v$ NN 63372 655 51 , , , 63372 655 52 according accord VBG 63372 655 53 as as IN 63372 655 54 the the DT 63372 655 55 light light NN 63372 655 56 is be VBZ 63372 655 57 moving move VBG 63372 655 58 exactly exactly RB 63372 655 59 in in IN 63372 655 60 the the DT 63372 655 61 same same JJ 63372 655 62 direction direction NN 63372 655 63 as as IN 63372 655 64 the the DT 63372 655 65 earth earth NN 63372 655 66 , , , 63372 655 67 or or CC 63372 655 68 in in IN 63372 655 69 the the DT 63372 655 70 opposite opposite JJ 63372 655 71 direction,]182 direction,]182 CD 63372 655 72 [ [ -LRB- 63372 655 73 or or CC 63372 655 74 diagonally diagonally RB 63372 655 75 across across IN 63372 655 76 the the DT 63372 655 77 earth earth NN 63372 655 78 's 's POS 63372 655 79 path path NN 63372 655 80 so so IN 63372 655 81 as as IN 63372 655 82 to to TO 63372 655 83 get get VB 63372 655 84 the the DT 63372 655 85 influence influence NN 63372 655 86 only only RB 63372 655 87 of of IN 63372 655 88 a a DT 63372 655 89 part part NN 63372 655 90 of of IN 63372 655 91 the the DT 63372 655 92 earth earth NN 63372 655 93 's 's POS 63372 655 94 motion motion NN 63372 655 95 . . . 63372 656 1 This this DT 63372 656 2 of of IN 63372 656 3 course course NN 63372 656 4 assumes assume VBZ 63372 656 5 that that IN 63372 656 6 $ $ $ 63372 656 7 C$ c$ $ 63372 656 8 has have VBZ 63372 656 9 always always RB 63372 656 10 the the DT 63372 656 11 same same JJ 63372 656 12 value value NN 63372 656 13 ; ; : 63372 656 14 an an DT 63372 656 15 assumption assumption NN 63372 656 16 that that WDT 63372 656 17 impresses impress VBZ 63372 656 18 one one CD 63372 656 19 as as RB 63372 656 20 inherently inherently RB 63372 656 21 probable probable JJ 63372 656 22 , , , 63372 656 23 and and CC 63372 656 24 one one NN 63372 656 25 that that WDT 63372 656 26 is be VBZ 63372 656 27 at at IN 63372 656 28 the the DT 63372 656 29 same same JJ 63372 656 30 time time NN 63372 656 31 in in IN 63372 656 32 accord accord NN 63372 656 33 with with IN 63372 656 34 ordinary ordinary JJ 63372 656 35 astronomical astronomical JJ 63372 656 36 observation observation NN 63372 656 37 . . . 63372 657 1 It -PRON- PRP 63372 657 2 is be VBZ 63372 657 3 not not RB 63372 657 4 possible possible JJ 63372 657 5 to to TO 63372 657 6 measure measure VB 63372 657 7 directly directly RB 63372 657 8 the the DT 63372 657 9 velocity velocity NN 63372 657 10 of of IN 63372 657 11 light light NN 63372 657 12 ( ( -LRB- 63372 657 13 186,330 186,330 CD 63372 657 14 miles mile NNS 63372 657 15 per per IN 63372 657 16 second second NN 63372 657 17 , , , 63372 657 18 more more RBR 63372 657 19 or or CC 63372 657 20 less less RBR 63372 657 21 ) ) -RRB- 63372 657 22 with with IN 63372 657 23 sufficient sufficient JJ 63372 657 24 accuracy accuracy NN 63372 657 25 to to TO 63372 657 26 give give VB 63372 657 27 any any DT 63372 657 28 meaning meaning NN 63372 657 29 to to IN 63372 657 30 the the DT 63372 657 31 variation variation NN 63372 657 32 in in IN 63372 657 33 this this DT 63372 657 34 velocity velocity NN 63372 657 35 which which WDT 63372 657 36 might may MD 63372 657 37 be be VB 63372 657 38 effected effect VBN 63372 657 39 by by IN 63372 657 40 adding add VBG 63372 657 41 or or CC 63372 657 42 subtracting subtract VBG 63372 657 43 that that DT 63372 657 44 of of IN 63372 657 45 the the DT 63372 657 46 earth earth NN 63372 657 47 in in IN 63372 657 48 its -PRON- PRP$ 63372 657 49 orbit orbit NN 63372 657 50 ( ( -LRB- 63372 657 51 a a DT 63372 657 52 mere mere JJ 63372 657 53 18 18 CD 63372 657 54 1/2 1/2 CD 63372 657 55 miles mile NNS 63372 657 56 per per IN 63372 657 57 second second NN 63372 657 58 ) ) -RRB- 63372 657 59 . . . 63372 658 1 It -PRON- PRP 63372 658 2 is be VBZ 63372 658 3 , , , 63372 658 4 however however RB 63372 658 5 , , , 63372 658 6 possible possible JJ 63372 658 7 to to TO 63372 658 8 play play VB 63372 658 9 a a DT 63372 658 10 trick trick NN 63372 658 11 on on IN 63372 658 12 the the DT 63372 658 13 light light NN 63372 658 14 by by IN 63372 658 15 sending send VBG 63372 658 16 it -PRON- PRP 63372 658 17 back back RB 63372 658 18 and and CC 63372 658 19 forth forth RB 63372 658 20 over over IN 63372 658 21 several several JJ 63372 658 22 paths path NNS 63372 658 23 , , , 63372 658 24 and and CC 63372 658 25 comparing compare VBG 63372 658 26 ( ( -LRB- 63372 658 27 not not RB 63372 658 28 measuring measure VBG 63372 658 29 absolutely absolutely RB 63372 658 30 , , , 63372 658 31 but but CC 63372 658 32 merely merely RB 63372 658 33 comparing compare VBG 63372 658 34 ) ) -RRB- 63372 658 35 with with IN 63372 658 36 great great JJ 63372 658 37 minuteness minuteness NN 63372 658 38 the the DT 63372 658 39 times time NNS 63372 658 40 consumed consume VBN 63372 658 41 in in IN 63372 658 42 these these DT 63372 658 43 several several JJ 63372 658 44 round round JJ 63372 658 45 trips trip NNS 63372 658 46 . . . 63372 659 1 A a DT 63372 659 2 JOURNEY journey NN 63372 659 3 UPSTREAM upstream NN 63372 659 4 AND and CC 63372 659 5 BACK back VB 63372 659 6 The the DT 63372 659 7 number number NN 63372 659 8 of of IN 63372 659 9 letters letter NNS 63372 659 10 the the DT 63372 659 11 Scientific scientific JJ 63372 659 12 American American NNP 63372 659 13 has have VBZ 63372 659 14 received receive VBN 63372 659 15 questioning question VBG 63372 659 16 the the DT 63372 659 17 Michelson Michelson NNP 63372 659 18 - - HYPH 63372 659 19 Morley Morley NNP 63372 659 20 experiment experiment NN 63372 659 21 indicates indicate VBZ 63372 659 22 that that IN 63372 659 23 many many JJ 63372 659 24 people people NNS 63372 659 25 are be VBP 63372 659 26 not not RB 63372 659 27 acquainted acquaint VBN 63372 659 28 with with IN 63372 659 29 the the DT 63372 659 30 fundamental fundamental JJ 63372 659 31 principle principle NN 63372 659 32 on on IN 63372 659 33 which which WDT 63372 659 34 it -PRON- PRP 63372 659 35 is be VBZ 63372 659 36 based base VBN 63372 659 37 . . . 63372 660 1 So so RB 63372 660 2 let let VB 63372 660 3 us -PRON- PRP 63372 660 4 look look VB 63372 660 5 at at IN 63372 660 6 a a DT 63372 660 7 simple simple JJ 63372 660 8 analogous analogous JJ 63372 660 9 case case NN 63372 660 10 . . . 63372 661 1 Suppose suppose VB 63372 661 2 a a DT 63372 661 3 swimmer swimmer NN 63372 661 4 or or CC 63372 661 5 a a DT 63372 661 6 rower rower NN 63372 661 7 make make VBP 63372 661 8 a a DT 63372 661 9 return return NN 63372 661 10 trip trip NN 63372 661 11 upstream upstream NN 63372 661 12 and and CC 63372 661 13 down down RB 63372 661 14 , , , 63372 661 15 contending contend VBG 63372 661 16 with with IN 63372 661 17 the the DT 63372 661 18 current current NN 63372 661 19 as as IN 63372 661 20 he -PRON- PRP 63372 661 21 goes go VBZ 63372 661 22 up up RP 63372 661 23 and and CC 63372 661 24 getting get VBG 63372 661 25 its -PRON- PRP$ 63372 661 26 benefit benefit NN 63372 661 27 when when WRB 63372 661 28 he -PRON- PRP 63372 661 29 comes come VBZ 63372 661 30 down down RP 63372 661 31 . . . 63372 662 1 Obviously obviously RB 63372 662 2 , , , 63372 662 3 says say VBZ 63372 662 4 snap snap NNP 63372 662 5 judgment judgment NN 63372 662 6 , , , 63372 662 7 since since IN 63372 662 8 the the DT 63372 662 9 two two CD 63372 662 10 legs leg NNS 63372 662 11 of of IN 63372 662 12 the the DT 63372 662 13 journey journey NN 63372 662 14 are be VBP 63372 662 15 equal equal JJ 63372 662 16 , , , 63372 662 17 he -PRON- PRP 63372 662 18 derives derive VBZ 63372 662 19 exactly exactly RB 63372 662 20 as as IN 63372 662 21 much much JJ 63372 662 22 benefit benefit NN 63372 662 23 from from IN 63372 662 24 the the DT 63372 662 25 current current NN 63372 662 26 when when WRB 63372 662 27 he -PRON- PRP 63372 662 28 goes go VBZ 63372 662 29 with with IN 63372 662 30 it -PRON- PRP 63372 662 31 as as IN 63372 662 32 he -PRON- PRP 63372 662 33 suffers suffer VBZ 63372 662 34 handicap handicap NN 63372 662 35 from from IN 63372 662 36 it -PRON- PRP 63372 662 37 when when WRB 63372 662 38 he -PRON- PRP 63372 662 39 goes go VBZ 63372 662 40 against against IN 63372 662 41 it -PRON- PRP 63372 662 42 ; ; : 63372 662 43 so so CC 63372 662 44 the the DT 63372 662 45 round round JJ 63372 662 46 trip trip NN 63372 662 47 must must MD 63372 662 48 take take VB 63372 662 49 exactly exactly RB 63372 662 50 the the DT 63372 662 51 same same JJ 63372 662 52 time time NN 63372 662 53 as as IN 63372 662 54 a a DT 63372 662 55 journey journey NN 63372 662 56 of of IN 63372 662 57 the the DT 63372 662 58 same same JJ 63372 662 59 length length NN 63372 662 60 in in IN 63372 662 61 still still RB 63372 662 62 water water NN 63372 662 63 , , , 63372 662 64 the the DT 63372 662 65 argument argument NN 63372 662 66 applying apply VBG 63372 662 67 equally equally RB 63372 662 68 in in IN 63372 662 69 the the DT 63372 662 70 case case NN 63372 662 71 where where WRB 63372 662 72 the the DT 63372 662 73 " " `` 63372 662 74 swimmer swimmer NN 63372 662 75 " " '' 63372 662 76 is be VBZ 63372 662 77 a a DT 63372 662 78 wave wave NN 63372 662 79 of of IN 63372 662 80 light light NN 63372 662 81 in in IN 63372 662 82 the the DT 63372 662 83 ether ether NN 63372 662 84 stream stream NN 63372 662 85 . . . 63372 663 1 But but CC 63372 663 2 let let VB 63372 663 3 us -PRON- PRP 63372 663 4 look look VB 63372 663 5 now now RB 63372 663 6 at at IN 63372 663 7 a a DT 63372 663 8 numerical numerical JJ 63372 663 9 case case NN 63372 663 10 . . . 63372 664 1 A a DT 63372 664 2 man man NN 63372 664 3 can can MD 63372 664 4 row row VB 63372 664 5 in in IN 63372 664 6 still still RB 63372 664 7 water water NN 63372 664 8 at at IN 63372 664 9 four four CD 63372 664 10 miles mile NNS 63372 664 11 per per IN 63372 664 12 hour hour NN 63372 664 13 . . . 63372 665 1 He -PRON- PRP 63372 665 2 rows row VBZ 63372 665 3 twelve twelve CD 63372 665 4 miles mile NNS 63372 665 5 upstream upstream JJ 63372 665 6 and and CC 63372 665 7 back back RB 63372 665 8 , , , 63372 665 9 in in IN 63372 665 10 a a DT 63372 665 11 current current NN 63372 665 12 of of IN 63372 665 13 two two CD 63372 665 14 miles mile NNS 63372 665 15 per per IN 63372 665 16 hour hour NN 63372 665 17 . . . 63372 666 1 At at IN 63372 666 2 a a DT 63372 666 3 net net JJ 63372 666 4 speed speed NN 63372 666 5 of of IN 63372 666 6 two two CD 63372 666 7 miles mile NNS 63372 666 8 per per IN 63372 666 9 hour hour NN 63372 666 10 he -PRON- PRP 63372 666 11 arrives arrive VBZ 63372 666 12 at at IN 63372 666 13 his -PRON- PRP$ 63372 666 14 turning turning NN 63372 666 15 point point NN 63372 666 16 in in IN 63372 666 17 six six CD 63372 666 18 hours hour NNS 63372 666 19 . . . 63372 667 1 At at IN 63372 667 2 a a DT 63372 667 3 net net JJ 63372 667 4 speed speed NN 63372 667 5 of of IN 63372 667 6 six six CD 63372 667 7 miles mile NNS 63372 667 8 per per IN 63372 667 9 hour hour NN 63372 667 10 he -PRON- PRP 63372 667 11 makes make VBZ 63372 667 12 the the DT 63372 667 13 down down JJ 63372 667 14 - - HYPH 63372 667 15 stream stream NN 63372 667 16 leg leg NN 63372 667 17 in in IN 63372 667 18 two two CD 63372 667 19 hours hour NNS 63372 667 20 . . . 63372 668 1 The the DT 63372 668 2 elapsed elapse VBN 63372 668 3 time time NN 63372 668 4 for for IN 63372 668 5 the the DT 63372 668 6 journey journey NN 63372 668 7 is be VBZ 63372 668 8 eight eight CD 63372 668 9 hours hour NNS 63372 668 10 ; ; : 63372 668 11 in in IN 63372 668 12 still still RB 63372 668 13 water water NN 63372 668 14 he -PRON- PRP 63372 668 15 would would MD 63372 668 16 row row VB 63372 668 17 the the DT 63372 668 18 twenty twenty CD 63372 668 19 - - HYPH 63372 668 20 four four CD 63372 668 21 miles mile NNS 63372 668 22 in in IN 63372 668 23 six six CD 63372 668 24 hours hour NNS 63372 668 25 . . . 63372 669 1 If if IN 63372 669 2 we -PRON- PRP 63372 669 3 were be VBD 63372 669 4 to to TO 63372 669 5 attempt attempt VB 63372 669 6 an an DT 63372 669 7 explanation explanation NN 63372 669 8 of of IN 63372 669 9 this this DT 63372 669 10 result result NN 63372 669 11 in in IN 63372 669 12 words word NNS 63372 669 13 we -PRON- PRP 63372 669 14 should should MD 63372 669 15 say say VB 63372 669 16 that that IN 63372 669 17 by by IN 63372 669 18 virtue virtue NN 63372 669 19 of of IN 63372 669 20 the the DT 63372 669 21 very very JJ 63372 669 22 fact fact NN 63372 669 23 that that IN 63372 669 24 it -PRON- PRP 63372 669 25 does do VBZ 63372 669 26 delay delay VB 63372 669 27 him -PRON- PRP 63372 669 28 , , , 63372 669 29 the the DT 63372 669 30 adverse adverse JJ 63372 669 31 current current JJ 63372 669 32 prolongs prolong NNS 63372 669 33 the the DT 63372 669 34 time time NN 63372 669 35 during during IN 63372 669 36 which which WDT 63372 669 37 it -PRON- PRP 63372 669 38 operates operate VBZ 63372 669 39 ; ; : 63372 669 40 while while IN 63372 669 41 by by IN 63372 669 42 virtue virtue NN 63372 669 43 of of IN 63372 669 44 the the DT 63372 669 45 very very JJ 63372 669 46 fact fact NN 63372 669 47 that that IN 63372 669 48 it -PRON- PRP 63372 669 49 accelerates accelerate VBZ 63372 669 50 his -PRON- PRP$ 63372 669 51 progress progress NN 63372 669 52 , , , 63372 669 53 the the DT 63372 669 54 favoring favor VBG 63372 669 55 current current NN 63372 669 56 shortens shorten VBZ 63372 669 57 its -PRON- PRP$ 63372 669 58 venue venue NN 63372 669 59 . . . 63372 670 1 The the DT 63372 670 2 careless careless JJ 63372 670 3 observer observer NN 63372 670 4 realizes realize VBZ 63372 670 5 that that IN 63372 670 6 distances distance NNS 63372 670 7 are be VBP 63372 670 8 equal equal JJ 63372 670 9 between between IN 63372 670 10 the the DT 63372 670 11 two two CD 63372 670 12 legs leg NNS 63372 670 13 of of IN 63372 670 14 the the DT 63372 670 15 journey journey NN 63372 670 16 , , , 63372 670 17 and and CC 63372 670 18 unconsciously unconsciously RB 63372 670 19 assumes assume VBZ 63372 670 20 that that IN 63372 670 21 times time NNS 63372 670 22 are be VBP 63372 670 23 equal equal JJ 63372 670 24 . . . 63372 671 1 If if IN 63372 671 2 the the DT 63372 671 3 journey journey NN 63372 671 4 be be VB 63372 671 5 made make VBN 63372 671 6 directly directly RB 63372 671 7 with with IN 63372 671 8 and and CC 63372 671 9 directly directly RB 63372 671 10 against against IN 63372 671 11 the the DT 63372 671 12 stream stream NN 63372 671 13 of of IN 63372 671 14 water water NN 63372 671 15 or or CC 63372 671 16 ether ether NN 63372 671 17 or or CC 63372 671 18 what what WP 63372 671 19 not not RB 63372 671 20 , , , 63372 671 21 retardation retardation NN 63372 671 22 is be VBZ 63372 671 23 effected effect VBN 63372 671 24 to to IN 63372 671 25 its -PRON- PRP$ 63372 671 26 fullest full JJS 63372 671 27 extent extent NN 63372 671 28 . . . 63372 672 1 If if IN 63372 672 2 the the DT 63372 672 3 course course NN 63372 672 4 be be VBP 63372 672 5 a a DT 63372 672 6 diagonal diagonal JJ 63372 672 7 one one NN 63372 672 8 , , , 63372 672 9 retardation retardation NN 63372 672 10 is be VBZ 63372 672 11 felt feel VBN 63372 672 12 to to IN 63372 672 13 an an DT 63372 672 14 extent extent NN 63372 672 15 measurable measurable JJ 63372 672 16 as as IN 63372 672 17 a a DT 63372 672 18 component component NN 63372 672 19 , , , 63372 672 20 and and CC 63372 672 21 depending depend VBG 63372 672 22 for for IN 63372 672 23 its -PRON- PRP$ 63372 672 24 exact exact JJ 63372 672 25 value value NN 63372 672 26 upon upon IN 63372 672 27 the the DT 63372 672 28 exact exact JJ 63372 672 29 angle angle NN 63372 672 30 of of IN 63372 672 31 the the DT 63372 672 32 path path NN 63372 672 33 . . . 63372 673 1 Felt Felt NNP 63372 673 2 , , , 63372 673 3 however however RB 63372 673 4 , , , 63372 673 5 it -PRON- PRP 63372 673 6 must must MD 63372 673 7 always always RB 63372 673 8 be be VB 63372 673 9 . . . 63372 674 1 Here here RB 63372 674 2 is be VBZ 63372 674 3 where where WRB 63372 674 4 we -PRON- PRP 63372 674 5 begin begin VBP 63372 674 6 to to TO 63372 674 7 get get VB 63372 674 8 a a DT 63372 674 9 grip grip NN 63372 674 10 on on IN 63372 674 11 the the DT 63372 674 12 problem problem NN 63372 674 13 of of IN 63372 674 14 the the DT 63372 674 15 earth earth NN 63372 674 16 and and CC 63372 674 17 the the DT 63372 674 18 ether ether NN 63372 674 19 . . . 63372 675 1 In in IN 63372 675 2 any any DT 63372 675 3 problem problem NN 63372 675 4 involving involve VBG 63372 675 5 the the DT 63372 675 6 return return NN 63372 675 7 - - HYPH 63372 675 8 trip trip NN 63372 675 9 principle principle NN 63372 675 10 , , , 63372 675 11 there there EX 63372 675 12 will will MD 63372 675 13 enter enter VB 63372 675 14 two two CD 63372 675 15 velocities velocity NNS 63372 675 16 -- -- : 63372 675 17 that that DT 63372 675 18 of of IN 63372 675 19 the the DT 63372 675 20 swimmer swimmer NN 63372 675 21 and and CC 63372 675 22 that that DT 63372 675 23 of of IN 63372 675 24 the the DT 63372 675 25 medium medium NN 63372 675 26 ; ; : 63372 675 27 and and CC 63372 675 28 the the DT 63372 675 29 time time NN 63372 675 30 of of IN 63372 675 31 retardation retardation NN 63372 675 32 . . . 63372 676 1 If if IN 63372 676 2 we -PRON- PRP 63372 676 3 know know VBP 63372 676 4 any any DT 63372 676 5 two two CD 63372 676 6 of of IN 63372 676 7 these these DT 63372 676 8 items item NNS 63372 676 9 we -PRON- PRP 63372 676 10 can can MD 63372 676 11 calculate calculate VB 63372 676 12 the the DT 63372 676 13 third third JJ 63372 676 14 . . . 63372 677 1 When when WRB 63372 677 2 the the DT 63372 677 3 swimmer swimmer NN 63372 677 4 is be VBZ 63372 677 5 a a DT 63372 677 6 ray ray NN 63372 677 7 of of IN 63372 677 8 light light NN 63372 677 9 and and CC 63372 677 10 the the DT 63372 677 11 velocity velocity NN 63372 677 12 of of IN 63372 677 13 the the DT 63372 677 14 medium medium NN 63372 677 15 is be VBZ 63372 677 16 that that DT 63372 677 17 of of IN 63372 677 18 the the DT 63372 677 19 ether ether NN 63372 677 20 as as IN 63372 677 21 it -PRON- PRP 63372 677 22 flows flow VBZ 63372 677 23 past past IN 63372 677 24 the the DT 63372 677 25 earth earth NN 63372 677 26 , , , 63372 677 27 we -PRON- PRP 63372 677 28 know know VBP 63372 677 29 the the DT 63372 677 30 first first JJ 63372 677 31 of of IN 63372 677 32 these these DT 63372 677 33 two two CD 63372 677 34 ; ; : 63372 677 35 we -PRON- PRP 63372 677 36 hope hope VBP 63372 677 37 to to TO 63372 677 38 observe observe VB 63372 677 39 the the DT 63372 677 40 retardation retardation NN 63372 677 41 so so IN 63372 677 42 that that IN 63372 677 43 we -PRON- PRP 63372 677 44 may may MD 63372 677 45 calculate calculate VB 63372 677 46 the the DT 63372 677 47 second second JJ 63372 677 48 velocity velocity NN 63372 677 49 . . . 63372 678 1 The the DT 63372 678 2 apparatus apparatus NN 63372 678 3 for for IN 63372 678 4 the the DT 63372 678 5 experiment experiment NN 63372 678 6 is be VBZ 63372 678 7 ingenious ingenious JJ 63372 678 8 and and CC 63372 678 9 demands demand VBZ 63372 678 10 description description NN 63372 678 11 . . . 63372 679 1 THE the DT 63372 679 2 MICHELSON MICHELSON NNP 63372 679 3 - - HYPH 63372 679 4 MORLEY MORLEY NNP 63372 679 5 EXPERIMENT EXPERIMENT NNP 63372 679 6 The the DT 63372 679 7 machine machine NN 63372 679 8 is be VBZ 63372 679 9 of of IN 63372 679 10 structural structural JJ 63372 679 11 steel steel NN 63372 679 12 , , , 63372 679 13 weighing weigh VBG 63372 679 14 1,900 1,900 CD 63372 679 15 pounds pound NNS 63372 679 16 . . . 63372 680 1 It -PRON- PRP 63372 680 2 has have VBZ 63372 680 3 two two CD 63372 680 4 arms arm NNS 63372 680 5 which which WDT 63372 680 6 form form VBP 63372 680 7 a a DT 63372 680 8 Greek greek JJ 63372 680 9 cross cross NN 63372 680 10 . . . 63372 681 1 Each each DT 63372 681 2 arm arm NN 63372 681 3 is be VBZ 63372 681 4 14 14 CD 63372 681 5 feet foot NNS 63372 681 6 in in IN 63372 681 7 length length NN 63372 681 8 . . . 63372 682 1 The the DT 63372 682 2 whole whole JJ 63372 682 3 apparatus apparatus NN 63372 682 4 is be VBZ 63372 682 5 floated float VBN 63372 682 6 in in IN 63372 682 7 a a DT 63372 682 8 trough trough NN 63372 682 9 containing contain VBG 63372 682 10 800 800 CD 63372 682 11 pounds pound NNS 63372 682 12 of of IN 63372 682 13 mercury mercury NN 63372 682 14 . . . 63372 683 1 Four four CD 63372 683 2 mirrors mirror NNS 63372 683 3 are be VBP 63372 683 4 arranged arrange VBN 63372 683 5 on on IN 63372 683 6 the the DT 63372 683 7 end end NN 63372 683 8 of of IN 63372 683 9 each each DT 63372 683 10 arm arm NN 63372 683 11 , , , 63372 683 12 sixteen sixteen VBN 63372 683 13 in in IN 63372 683 14 all all DT 63372 683 15 , , , 63372 683 16 with with IN 63372 683 17 a a DT 63372 683 18 seventeenth seventeenth JJ 63372 683 19 mirror mirror NN 63372 683 20 , , , 63372 683 21 M M NNP 63372 683 22 , , , 63372 683 23 set set VBD 63372 683 24 at at IN 63372 683 25 one one CD 63372 683 26 of of IN 63372 683 27 the the DT 63372 683 28 inside inside JJ 63372 683 29 corners corner NNS 63372 683 30 of of IN 63372 683 31 the the DT 63372 683 32 cross cross NN 63372 683 33 , , , 63372 683 34 as as IN 63372 683 35 diagrammed diagram VBN 63372 683 36 . . . 63372 684 1 A a DT 63372 684 2 source source NN 63372 684 3 of of IN 63372 684 4 light light NN 63372 684 5 ( ( -LRB- 63372 684 6 in in IN 63372 684 7 this this DT 63372 684 8 case case NN 63372 684 9 a a DT 63372 684 10 calcium calcium NN 63372 684 11 flame flame NN 63372 684 12 ) ) -RRB- 63372 684 13 is be VBZ 63372 684 14 provided provide VBN 63372 684 15 , , , 63372 684 16 and and CC 63372 684 17 its -PRON- PRP$ 63372 684 18 rays ray NNS 63372 684 19 directed direct VBN 63372 684 20 by by IN 63372 684 21 a a DT 63372 684 22 lens lens NN 63372 684 23 toward toward IN 63372 684 24 the the DT 63372 684 25 mirror mirror NN 63372 684 26 M. M. NNP 63372 684 27 Part Part NNP 63372 684 28 of of IN 63372 684 29 the the DT 63372 684 30 light light NN 63372 684 31 is be VBZ 63372 684 32 allowed allow VBN 63372 684 33 to to TO 63372 684 34 pass pass VB 63372 684 35 straight straight RB 63372 684 36 through through IN 63372 684 37 M m NN 63372 684 38 to to IN 63372 684 39 the the DT 63372 684 40 opposite opposite JJ 63372 684 41 arm arm NN 63372 684 42 of of IN 63372 684 43 the the DT 63372 684 44 cross cross NN 63372 684 45 , , , 63372 684 46 where where WRB 63372 684 47 it -PRON- PRP 63372 684 48 strikes strike VBZ 63372 684 49 mirror mirror VBP 63372 684 50 1 1 CD 63372 684 51 . . . 63372 685 1 It -PRON- PRP 63372 685 2 is be VBZ 63372 685 3 reflected reflect VBN 63372 685 4 back back RB 63372 685 5 across across IN 63372 685 6 the the DT 63372 685 7 arm arm NN 63372 685 8 to to TO 63372 685 9 mirror mirror VB 63372 685 10 2 2 CD 63372 685 11 , , , 63372 685 12 thence thence NN 63372 685 13 to to IN 63372 685 14 3 3 CD 63372 685 15 , , , 63372 685 16 and and CC 63372 685 17 so so RB 63372 685 18 on on RB 63372 685 19 until until IN 63372 685 20 it -PRON- PRP 63372 685 21 reaches reach VBZ 63372 685 22 mirror mirror NNP 63372 685 23 8 8 CD 63372 685 24 . . . 63372 686 1 Thence thence NN 63372 686 2 it -PRON- PRP 63372 686 3 is be VBZ 63372 686 4 reflected reflect VBN 63372 686 5 back back RB 63372 686 6 to to IN 63372 686 7 mirror mirror NNP 63372 686 8 7 7 CD 63372 686 9 , , , 63372 686 10 to to IN 63372 686 11 6 6 CD 63372 686 12 , , , 63372 686 13 and and CC 63372 686 14 so so RB 63372 686 15 on on RB 63372 686 16 , , , 63372 686 17 retracing retrace VBG 63372 686 18 its -PRON- PRP$ 63372 686 19 former former JJ 63372 686 20 path path NN 63372 686 21 , , , 63372 686 22 and and CC 63372 686 23 finally finally RB 63372 686 24 is be VBZ 63372 686 25 caught catch VBN 63372 686 26 by by IN 63372 686 27 the the DT 63372 686 28 reverse reverse JJ 63372 686 29 side side NN 63372 686 30 of of IN 63372 686 31 the the DT 63372 686 32 mirror mirror NN 63372 686 33 M M NNP 63372 686 34 and and CC 63372 686 35 is be VBZ 63372 686 36 sent send VBN 63372 686 37 to to IN 63372 686 38 an an DT 63372 686 39 observer observer NN 63372 686 40 at at IN 63372 686 41 O. O. NNP 63372 687 1 In in IN 63372 687 2 retracing retrace VBG 63372 687 3 its -PRON- PRP$ 63372 687 4 path path NN 63372 687 5 the the DT 63372 687 6 light light JJ 63372 687 7 sets set VBZ 63372 687 8 up up RP 63372 687 9 an an DT 63372 687 10 interference interference NN 63372 687 11 phenomenon phenomenon NN 63372 687 12 ( ( -LRB- 63372 687 13 see see VB 63372 687 14 below below RB 63372 687 15 ) ) -RRB- 63372 687 16 and and CC 63372 687 17 the the DT 63372 687 18 interference interference NN 63372 687 19 bands band NNS 63372 687 20 are be VBP 63372 687 21 visible visible JJ 63372 687 22 to to IN 63372 687 23 the the DT 63372 687 24 observer observer NN 63372 687 25 , , , 63372 687 26 who who WP 63372 687 27 is be VBZ 63372 687 28 provided provide VBN 63372 687 29 with with IN 63372 687 30 a a DT 63372 687 31 telescope telescope NN 63372 687 32 to to TO 63372 687 33 magnify magnify VB 63372 687 34 the the DT 63372 687 35 results result NNS 63372 687 36 . . . 63372 688 1 A a DT 63372 688 2 second second JJ 63372 688 3 part part NN 63372 688 4 of of IN 63372 688 5 the the DT 63372 688 6 original original JJ 63372 688 7 light light JJ 63372 688 8 - - HYPH 63372 688 9 beam beam NN 63372 688 10 is be VBZ 63372 688 11 reflected reflect VBN 63372 688 12 off off RP 63372 688 13 at at IN 63372 688 14 right right JJ 63372 688 15 angles angle NNS 63372 688 16 by by IN 63372 688 17 the the DT 63372 688 18 mirror mirror NN 63372 688 19 M M NNP 63372 688 20 , , , 63372 688 21 and and CC 63372 688 22 is be VBZ 63372 688 23 passed pass VBN 63372 688 24 to to IN 63372 688 25 and and CC 63372 688 26 fro fro NNP 63372 688 27 on on IN 63372 688 28 the the DT 63372 688 29 adjacent adjacent JJ 63372 688 30 arms arm NNS 63372 688 31 of of IN 63372 688 32 the the DT 63372 688 33 machine machine NN 63372 688 34 , , , 63372 688 35 in in IN 63372 688 36 exactly exactly RB 63372 688 37 the the DT 63372 688 38 same same JJ 63372 688 39 manner manner NN 63372 688 40 and and CC 63372 688 41 over over IN 63372 688 42 a a DT 63372 688 43 similar similar JJ 63372 688 44 path path NN 63372 688 45 , , , 63372 688 46 by by IN 63372 688 47 means mean NNS 63372 688 48 of of IN 63372 688 49 the the DT 63372 688 50 mirrors mirror NNS 63372 688 51 I -PRON- PRP 63372 688 52 , , , 63372 688 53 II II NNP 63372 688 54 , , , 63372 688 55 III III NNP 63372 688 56 , , , 63372 688 57 ... ... : 63372 688 58 VIII VIII NNP 63372 688 59 . . . 63372 689 1 This this DT 63372 689 2 light light NN 63372 689 3 finally finally RB 63372 689 4 reaches reach VBZ 63372 689 5 the the DT 63372 689 6 observer observer NN 63372 689 7 at at IN 63372 689 8 the the DT 63372 689 9 telescope telescope NN 63372 689 10 , , , 63372 689 11 setting set VBG 63372 689 12 up up RP 63372 689 13 a a DT 63372 689 14 second second JJ 63372 689 15 set set NN 63372 689 16 of of IN 63372 689 17 interference interference NN 63372 689 18 bands band NNS 63372 689 19 , , , 63372 689 20 parallel parallel JJ 63372 689 21 to to IN 63372 689 22 the the DT 63372 689 23 first first JJ 63372 689 24 . . . 63372 690 1 A a DT 63372 690 2 word word NN 63372 690 3 now now RB 63372 690 4 about about IN 63372 690 5 this this DT 63372 690 6 business business NN 63372 690 7 of of IN 63372 690 8 light light JJ 63372 690 9 interference interference NN 63372 690 10 . . . 63372 691 1 Light light NN 63372 691 2 is be VBZ 63372 691 3 a a DT 63372 691 4 wave wave NN 63372 691 5 motion motion NN 63372 691 6 . . . 63372 692 1 The the DT 63372 692 2 length length NN 63372 692 3 of of IN 63372 692 4 a a DT 63372 692 5 wave wave NN 63372 692 6 is be VBZ 63372 692 7 but but CC 63372 692 8 a a DT 63372 692 9 few few JJ 63372 692 10 millionths millionth NNS 63372 692 11 of of IN 63372 692 12 an an DT 63372 692 13 inch inch NN 63372 692 14 , , , 63372 692 15 and and CC 63372 692 16 the the DT 63372 692 17 amplitude amplitude NN 63372 692 18 is be VBZ 63372 692 19 correspondingly correspondingly RB 63372 692 20 minute minute JJ 63372 692 21 ; ; : 63372 692 22 but but CC 63372 692 23 none none NN 63372 692 24 the the DT 63372 692 25 less less RBR 63372 692 26 , , , 63372 692 27 these these DT 63372 692 28 waves wave NNS 63372 692 29 behave behave VBP 63372 692 30 in in IN 63372 692 31 a a DT 63372 692 32 thoroughly thoroughly RB 63372 692 33 wave wave NN 63372 692 34 - - HYPH 63372 692 35 like like JJ 63372 692 36 manner manner NN 63372 692 37 . . . 63372 693 1 In in IN 63372 693 2 particular particular JJ 63372 693 3 , , , 63372 693 4 if if IN 63372 693 5 the the DT 63372 693 6 crests crest NNS 63372 693 7 of of IN 63372 693 8 two two CD 63372 693 9 waves wave NNS 63372 693 10 are be VBP 63372 693 11 superposed superpose VBN 63372 693 12 , , , 63372 693 13 there there EX 63372 693 14 is be VBZ 63372 693 15 a a DT 63372 693 16 double double JJ 63372 693 17 effect effect NN 63372 693 18 ; ; : 63372 693 19 while while IN 63372 693 20 if if IN 63372 693 21 a a DT 63372 693 22 crest crest NN 63372 693 23 of of IN 63372 693 24 one one CD 63372 693 25 wave wave NN 63372 693 26 falls fall VBZ 63372 693 27 with with IN 63372 693 28 a a DT 63372 693 29 trough trough NN 63372 693 30 of of IN 63372 693 31 another another DT 63372 693 32 , , , 63372 693 33 there there EX 63372 693 34 is be VBZ 63372 693 35 a a DT 63372 693 36 killing killing NN 63372 693 37 - - HYPH 63372 693 38 off off NN 63372 693 39 or or CC 63372 693 40 " " `` 63372 693 41 interference interference NN 63372 693 42 " " '' 63372 693 43 . . . 63372 694 1 Under under IN 63372 694 2 ordinary ordinary JJ 63372 694 3 circumstances circumstance NNS 63372 694 4 interference interference NN 63372 694 5 of of IN 63372 694 6 light light JJ 63372 694 7 waves wave NNS 63372 694 8 does do VBZ 63372 694 9 not not RB 63372 694 10 occur occur VB 63372 694 11 . . . 63372 695 1 This this DT 63372 695 2 is be VBZ 63372 695 3 simply simply RB 63372 695 4 because because IN 63372 695 5 under under IN 63372 695 6 ordinary ordinary JJ 63372 695 7 circumstances circumstance NNS 63372 695 8 light light VBP 63372 695 9 waves wave NNS 63372 695 10 are be VBP 63372 695 11 not not RB 63372 695 12 piled pile VBN 63372 695 13 up up RP 63372 695 14 on on IN 63372 695 15 one one CD 63372 695 16 another another DT 63372 695 17 . . . 63372 696 1 But but CC 63372 696 2 sometimes sometimes RB 63372 696 3 this this DT 63372 696 4 piling pile VBG 63372 696 5 up up RP 63372 696 6 occurs occur VBZ 63372 696 7 ; ; : 63372 696 8 and and CC 63372 696 9 then then RB 63372 696 10 , , , 63372 696 11 just just RB 63372 696 12 so so RB 63372 696 13 sure sure JJ 63372 696 14 as as IN 63372 696 15 the the DT 63372 696 16 piled pile VBN 63372 696 17 - - HYPH 63372 696 18 up up RP 63372 696 19 waves wave NNS 63372 696 20 are be VBP 63372 696 21 in in IN 63372 696 22 the the DT 63372 696 23 same same JJ 63372 696 24 phase phase NN 63372 696 25 they -PRON- PRP 63372 696 26 reinforce reinforce VBP 63372 696 27 one one CD 63372 696 28 another another DT 63372 696 29 , , , 63372 696 30 while while IN 63372 696 31 if if IN 63372 696 32 they -PRON- PRP 63372 696 33 are be VBP 63372 696 34 in in IN 63372 696 35 opposite opposite JJ 63372 696 36 phase phase NN 63372 696 37 they -PRON- PRP 63372 696 38 interfere interfere VBP 63372 696 39 . . . 63372 697 1 And and CC 63372 697 2 the the DT 63372 697 3 conditions condition NNS 63372 697 4 which which WDT 63372 697 5 we -PRON- PRP 63372 697 6 have have VBP 63372 697 7 outlined outline VBN 63372 697 8 above above RB 63372 697 9 , , , 63372 697 10 with with IN 63372 697 11 the the DT 63372 697 12 telescope telescope NN 63372 697 13 and and CC 63372 697 14 the the DT 63372 697 15 mirrors mirror NNS 63372 697 16 and and CC 63372 697 17 the the DT 63372 697 18 ray ray NN 63372 697 19 of of IN 63372 697 20 light light NN 63372 697 21 retracing retrace VBG 63372 697 22 the the DT 63372 697 23 path path NN 63372 697 24 over over IN 63372 697 25 which which WDT 63372 697 26 it -PRON- PRP 63372 697 27 went go VBD 63372 697 28 out out RP 63372 697 29 , , , 63372 697 30 are be VBP 63372 697 31 conditions condition NNS 63372 697 32 under under IN 63372 697 33 which which WDT 63372 697 34 interference interference NN 63372 697 35 does do VBZ 63372 697 36 occur occur VB 63372 697 37 . . . 63372 698 1 If if IN 63372 698 2 the the DT 63372 698 3 returning return VBG 63372 698 4 wave wave NN 63372 698 5 is be VBZ 63372 698 6 in in IN 63372 698 7 exact exact JJ 63372 698 8 phase phase NN 63372 698 9 with with IN 63372 698 10 the the DT 63372 698 11 outgoing outgoing JJ 63372 698 12 one one NN 63372 698 13 , , , 63372 698 14 the the DT 63372 698 15 effect effect NN 63372 698 16 is be VBZ 63372 698 17 that that DT 63372 698 18 of of IN 63372 698 19 uniform uniform JJ 63372 698 20 double double JJ 63372 698 21 illumination illumination NN 63372 698 22 ; ; : 63372 698 23 if if IN 63372 698 24 it -PRON- PRP 63372 698 25 is be VBZ 63372 698 26 in in IN 63372 698 27 exactly exactly RB 63372 698 28 opposite opposite JJ 63372 698 29 phase phase NN 63372 698 30 the the DT 63372 698 31 effect effect NN 63372 698 32 is be VBZ 63372 698 33 that that DT 63372 698 34 of of IN 63372 698 35 complete complete JJ 63372 698 36 extinguishing extinguishing NN 63372 698 37 of of IN 63372 698 38 the the DT 63372 698 39 light light NN 63372 698 40 , , , 63372 698 41 the the DT 63372 698 42 reversed reversed JJ 63372 698 43 wave wave NN 63372 698 44 exactly exactly RB 63372 698 45 cancelling cancel VBG 63372 698 46 out out RP 63372 698 47 the the DT 63372 698 48 original original JJ 63372 698 49 one one NN 63372 698 50 . . . 63372 699 1 If if IN 63372 699 2 the the DT 63372 699 3 two two CD 63372 699 4 rays ray NNS 63372 699 5 are be VBP 63372 699 6 partly partly RB 63372 699 7 in in IN 63372 699 8 phase phase NN 63372 699 9 , , , 63372 699 10 there there EX 63372 699 11 is be VBZ 63372 699 12 partial partial JJ 63372 699 13 reinforcement reinforcement NN 63372 699 14 or or CC 63372 699 15 partial partial JJ 63372 699 16 cancelling cancel VBG 63372 699 17 out out RP 63372 699 18 , , , 63372 699 19 according accord VBG 63372 699 20 to to IN 63372 699 21 whether whether IN 63372 699 22 they -PRON- PRP 63372 699 23 are be VBP 63372 699 24 nearly nearly RB 63372 699 25 in in IN 63372 699 26 phase phase NN 63372 699 27 or or CC 63372 699 28 nearly nearly RB 63372 699 29 out out IN 63372 699 30 of of IN 63372 699 31 phase phase NN 63372 699 32 . . . 63372 700 1 Finally finally RB 63372 700 2 , , , 63372 700 3 if if IN 63372 700 4 the the DT 63372 700 5 mirrors mirror NNS 63372 700 6 are be VBP 63372 700 7 not not RB 63372 700 8 set set VBN 63372 700 9 absolutely absolutely RB 63372 700 10 parallel parallel JJ 63372 700 11 -- -- : 63372 700 12 as as IN 63372 700 13 must must MD 63372 700 14 in in IN 63372 700 15 practice practice NN 63372 700 16 be be VB 63372 700 17 the the DT 63372 700 18 case case NN 63372 700 19 when when WRB 63372 700 20 we -PRON- PRP 63372 700 21 attempt attempt VBP 63372 700 22 to to TO 63372 700 23 measure measure VB 63372 700 24 their -PRON- PRP$ 63372 700 25 parallelism parallelism NN 63372 700 26 in in IN 63372 700 27 terms term NNS 63372 700 28 of of IN 63372 700 29 the the DT 63372 700 30 wave wave NN 63372 700 31 - - HYPH 63372 700 32 length length NN 63372 700 33 of of IN 63372 700 34 light light NN 63372 700 35 -- -- : 63372 700 36 adjacent adjacent JJ 63372 700 37 parts part NNS 63372 700 38 of of IN 63372 700 39 the the DT 63372 700 40 light light JJ 63372 700 41 ray ray NNP 63372 700 42 will will MD 63372 700 43 vary vary VB 63372 700 44 in in IN 63372 700 45 the the DT 63372 700 46 extent extent NN 63372 700 47 to to TO 63372 700 48 which which WDT 63372 700 49 they -PRON- PRP 63372 700 50 are be VBP 63372 700 51 out out IN 63372 700 52 of of IN 63372 700 53 phase phase NN 63372 700 54 , , , 63372 700 55 since since IN 63372 700 56 they -PRON- PRP 63372 700 57 will will MD 63372 700 58 have have VB 63372 700 59 travelled travel VBN 63372 700 60 a a DT 63372 700 61 fraction fraction NN 63372 700 62 of of IN 63372 700 63 a a DT 63372 700 64 wave wave NN 63372 700 65 - - HYPH 63372 700 66 length length NN 63372 700 67 further further RB 63372 700 68 to to TO 63372 700 69 get get VB 63372 700 70 to to IN 63372 700 71 and and CC 63372 700 72 from from IN 63372 700 73 this this DT 63372 700 74 , , , 63372 700 75 that that DT 63372 700 76 or or CC 63372 700 77 the the DT 63372 700 78 other other JJ 63372 700 79 mirror mirror NN 63372 700 80 . . . 63372 701 1 There there EX 63372 701 2 will will MD 63372 701 3 then then RB 63372 701 4 appear appear VB 63372 701 5 in in IN 63372 701 6 the the DT 63372 701 7 telescope telescope NN 63372 701 8 alternate alternate JJ 63372 701 9 bands band NNS 63372 701 10 of of IN 63372 701 11 illumination illumination NN 63372 701 12 and and CC 63372 701 13 darkness darkness NN 63372 701 14 , , , 63372 701 15 whose whose WP$ 63372 701 16 width width NN 63372 701 17 and and CC 63372 701 18 spacing spacing NN 63372 701 19 depend depend VBP 63372 701 20 upon upon IN 63372 701 21 all all PDT 63372 701 22 the the DT 63372 701 23 factors factor NNS 63372 701 24 entering enter VBG 63372 701 25 into into IN 63372 701 26 the the DT 63372 701 27 problem problem NN 63372 701 28 . . . 63372 702 1 If if IN 63372 702 2 it -PRON- PRP 63372 702 3 were be VBD 63372 702 4 possible possible JJ 63372 702 5 for for IN 63372 702 6 us -PRON- PRP 63372 702 7 to to TO 63372 702 8 make make VB 63372 702 9 the the DT 63372 702 10 apparatus apparatus NN 63372 702 11 with with IN 63372 702 12 such such PDT 63372 702 13 a a DT 63372 702 14 degree degree NN 63372 702 15 of of IN 63372 702 16 refinement refinement NN 63372 702 17 that that IN 63372 702 18 the the DT 63372 702 19 path path NN 63372 702 20 from from IN 63372 702 21 mirror mirror NNP 63372 702 22 M M NNP 63372 702 23 via via IN 63372 702 24 mirrors mirror NNS 63372 702 25 1 1 CD 63372 702 26 , , , 63372 702 27 2 2 CD 63372 702 28 , , , 63372 702 29 3 3 CD 63372 702 30 , , , 63372 702 31 etc etc FW 63372 702 32 . . FW 63372 702 33 , , , 63372 702 34 back back RB 63372 702 35 through through IN 63372 702 36 M m NN 63372 702 37 and and CC 63372 702 38 into into IN 63372 702 39 the the DT 63372 702 40 telescope telescope NN 63372 702 41 , , , 63372 702 42 were be VBD 63372 702 43 exactly exactly RB 63372 702 44 the the DT 63372 702 45 same same JJ 63372 702 46 length length NN 63372 702 47 as as IN 63372 702 48 that that DT 63372 702 49 from from IN 63372 702 50 flame flame NN 63372 702 51 to to IN 63372 702 52 telescope telescope NN 63372 702 53 by by IN 63372 702 54 way way NN 63372 702 55 of of IN 63372 702 56 the the DT 63372 702 57 mirrors mirror NNS 63372 702 58 I -PRON- PRP 63372 702 59 , , , 63372 702 60 II II NNP 63372 702 61 , , , 63372 702 62 III III NNP 63372 702 63 , , , 63372 702 64 etc.--exactly etc.--exactly RB 63372 702 65 the the DT 63372 702 66 same same JJ 63372 702 67 to to IN 63372 702 68 a a DT 63372 702 69 margin margin NN 63372 702 70 of of IN 63372 702 71 error error NN 63372 702 72 materially materially RB 63372 702 73 less less JJR 63372 702 74 than than IN 63372 702 75 a a DT 63372 702 76 single single JJ 63372 702 77 wave wave NN 63372 702 78 - - HYPH 63372 702 79 length length NN 63372 702 80 of of IN 63372 702 81 light light NN 63372 702 82 -- -- : 63372 702 83 why why WRB 63372 702 84 , , , 63372 702 85 then then RB 63372 702 86 , , , 63372 702 87 the the DT 63372 702 88 two two CD 63372 702 89 sets set NNS 63372 702 90 of of IN 63372 702 91 interference interference NN 63372 702 92 fringes fringe NNS 63372 702 93 would would MD 63372 702 94 come come VB 63372 702 95 out out RP 63372 702 96 exactly exactly RB 63372 702 97 superposed superpose VBN 63372 702 98 provided provide VBD 63372 702 99 the the DT 63372 702 100 motion motion NN 63372 702 101 of of IN 63372 702 102 the the DT 63372 702 103 earth earth NN 63372 702 104 through through IN 63372 702 105 the the DT 63372 702 106 " " `` 63372 702 107 ether ether NN 63372 702 108 " " '' 63372 702 109 turn turn VBP 63372 702 110 out out RP 63372 702 111 to to TO 63372 702 112 have have VB 63372 702 113 no no DT 63372 702 114 influence influence NN 63372 702 115 upon upon IN 63372 702 116 the the DT 63372 702 117 velocity velocity NN 63372 702 118 of of IN 63372 702 119 light light NN 63372 702 120 ; ; : 63372 702 121 or or CC 63372 702 122 , , , 63372 702 123 if if IN 63372 702 124 such such JJ 63372 702 125 influence influence NN 63372 702 126 exist exist VBP 63372 702 127 , , , 63372 702 128 these these DT 63372 702 129 fringes fringe NNS 63372 702 130 would would MD 63372 702 131 be be VB 63372 702 132 displaced displace VBN 63372 702 133 from from IN 63372 702 134 one one CD 63372 702 135 another another DT 63372 702 136 to to IN 63372 702 137 an an DT 63372 702 138 extent extent NN 63372 702 139 measuring measure VBG 63372 702 140 the the DT 63372 702 141 influence influence NN 63372 702 142 in in IN 63372 702 143 question question NN 63372 702 144 . . . 63372 703 1 But but CC 63372 703 2 our -PRON- PRP$ 63372 703 3 ability ability NN 63372 703 4 to to TO 63372 703 5 set set VB 63372 703 6 up up RP 63372 703 7 this this DT 63372 703 8 complicated complicated JJ 63372 703 9 pattern pattern NN 63372 703 10 of of IN 63372 703 11 mirrors mirror NNS 63372 703 12 at at IN 63372 703 13 predetermined predetermined JJ 63372 703 14 distances distance NNS 63372 703 15 falls fall VBZ 63372 703 16 far far RB 63372 703 17 short short RB 63372 703 18 of of IN 63372 703 19 the the DT 63372 703 20 wave wave NN 63372 703 21 - - HYPH 63372 703 22 length length NN 63372 703 23 as as IN 63372 703 24 a a DT 63372 703 25 measure measure NN 63372 703 26 of of IN 63372 703 27 error error NN 63372 703 28 . . . 63372 704 1 So so RB 63372 704 2 in in IN 63372 704 3 practice practice NN 63372 704 4 all all DT 63372 704 5 that that WDT 63372 704 6 we -PRON- PRP 63372 704 7 can can MD 63372 704 8 say say VB 63372 704 9 is be VBZ 63372 704 10 that that DT 63372 704 11 having have VBG 63372 704 12 once once RB 63372 704 13 set set VBN 63372 704 14 the the DT 63372 704 15 instrument instrument NN 63372 704 16 up up RP 63372 704 17 , , , 63372 704 18 and and CC 63372 704 19 passed pass VBD 63372 704 20 a a DT 63372 704 21 beam beam NN 63372 704 22 of of IN 63372 704 23 light light NN 63372 704 24 through through IN 63372 704 25 it -PRON- PRP 63372 704 26 , , , 63372 704 27 there there EX 63372 704 28 will will MD 63372 704 29 be be VB 63372 704 30 produced produce VBN 63372 704 31 two two CD 63372 704 32 sets set NNS 63372 704 33 of of IN 63372 704 34 parallel parallel JJ 63372 704 35 interference interference NN 63372 704 36 fringes fringe NNS 63372 704 37 . . . 63372 705 1 These these DT 63372 705 2 sets set NNS 63372 705 3 will will MD 63372 705 4 fail fail VB 63372 705 5 of of IN 63372 705 6 superposition superposition NN 63372 705 7 -- -- : 63372 705 8 each each DT 63372 705 9 fringe fringe NN 63372 705 10 of of IN 63372 705 11 one one CD 63372 705 12 set set NN 63372 705 13 will will MD 63372 705 14 be be VB 63372 705 15 removed remove VBN 63372 705 16 from from IN 63372 705 17 the the DT 63372 705 18 corresponding correspond VBG 63372 705 19 fringe fringe NN 63372 705 20 of of IN 63372 705 21 the the DT 63372 705 22 other other JJ 63372 705 23 set set NN 63372 705 24 -- -- : 63372 705 25 by by IN 63372 705 26 some some DT 63372 705 27 definite definite JJ 63372 705 28 distance distance NN 63372 705 29 . . . 63372 706 1 Then then RB 63372 706 2 , , , 63372 706 3 any any DT 63372 706 4 subsequent subsequent JJ 63372 706 5 variation variation NN 63372 706 6 in in IN 63372 706 7 the the DT 63372 706 8 speed speed NN 63372 706 9 of of IN 63372 706 10 light light NN 63372 706 11 along along IN 63372 706 12 the the DT 63372 706 13 two two CD 63372 706 14 arms arm NNS 63372 706 15 will will MD 63372 706 16 at at IN 63372 706 17 once once RB 63372 706 18 be be VB 63372 706 19 detected detect VBN 63372 706 20 by by IN 63372 706 21 a a DT 63372 706 22 shifting shifting NN 63372 706 23 of of IN 63372 706 24 the the DT 63372 706 25 interference interference NN 63372 706 26 bands band NNS 63372 706 27 through through IN 63372 706 28 a a DT 63372 706 29 distance distance NN 63372 706 30 which which WDT 63372 706 31 we -PRON- PRP 63372 706 32 shall shall MD 63372 706 33 be be VB 63372 706 34 able able JJ 63372 706 35 to to TO 63372 706 36 measure measure VB 63372 706 37 . . . 63372 707 1 THE the DT 63372 707 2 VERDICT verdict NN 63372 707 3 Under under IN 63372 707 4 the the DT 63372 707 5 theories theory NNS 63372 707 6 and and CC 63372 707 7 assumptions assumption NNS 63372 707 8 governing govern VBG 63372 707 9 at at IN 63372 707 10 the the DT 63372 707 11 time time NN 63372 707 12 of of IN 63372 707 13 the the DT 63372 707 14 original original JJ 63372 707 15 performance performance NN 63372 707 16 of of IN 63372 707 17 this this DT 63372 707 18 experiment experiment NN 63372 707 19 , , , 63372 707 20 it -PRON- PRP 63372 707 21 will will MD 63372 707 22 be be VB 63372 707 23 readily readily RB 63372 707 24 seen see VBN 63372 707 25 that that IN 63372 707 26 if if IN 63372 707 27 this this DT 63372 707 28 machine machine NN 63372 707 29 be be VB 63372 707 30 set set VBN 63372 707 31 up up RP 63372 707 32 in in IN 63372 707 33 an an DT 63372 707 34 " " `` 63372 707 35 ether ether NN 63372 707 36 stream stream NN 63372 707 37 " " '' 63372 707 38 with with IN 63372 707 39 one one CD 63372 707 40 arm arm NN 63372 707 41 parallel parallel NN 63372 707 42 to to IN 63372 707 43 the the DT 63372 707 44 direction direction NN 63372 707 45 of of IN 63372 707 46 the the DT 63372 707 47 stream stream NN 63372 707 48 and and CC 63372 707 49 the the DT 63372 707 50 other other JJ 63372 707 51 at at IN 63372 707 52 right right JJ 63372 707 53 angles angle NNS 63372 707 54 thereto thereto NNP 63372 707 55 , , , 63372 707 56 there there EX 63372 707 57 will will MD 63372 707 58 be be VB 63372 707 59 a a DT 63372 707 60 difference difference NN 63372 707 61 in in IN 63372 707 62 the the DT 63372 707 63 speed speed NN 63372 707 64 of of IN 63372 707 65 the the DT 63372 707 66 light light NN 63372 707 67 along along IN 63372 707 68 the the DT 63372 707 69 two two CD 63372 707 70 arms arm NNS 63372 707 71 . . . 63372 708 1 Then then RB 63372 708 2 if if IN 63372 708 3 the the DT 63372 708 4 apparatus apparatus NN 63372 708 5 be be VB 63372 708 6 shifted shift VBN 63372 708 7 to to IN 63372 708 8 a a DT 63372 708 9 position position NN 63372 708 10 oblique oblique JJ 63372 708 11 to to IN 63372 708 12 the the DT 63372 708 13 ether ether NN 63372 708 14 stream stream NN 63372 708 15 , , , 63372 708 16 the the DT 63372 708 17 excess excess JJ 63372 708 18 velocity velocity NN 63372 708 19 of of IN 63372 708 20 the the DT 63372 708 21 light light NN 63372 708 22 in in IN 63372 708 23 the the DT 63372 708 24 one one CD 63372 708 25 arm arm NN 63372 708 26 would would MD 63372 708 27 be be VB 63372 708 28 diminished diminish VBN 63372 708 29 , , , 63372 708 30 and and CC 63372 708 31 gradually gradually RB 63372 708 32 come come VB 63372 708 33 to to IN 63372 708 34 zero zero CD 63372 708 35 at at IN 63372 708 36 the the DT 63372 708 37 45-degree 45-degree CD 63372 708 38 angle angle NN 63372 708 39 , , , 63372 708 40 after after IN 63372 708 41 which which WDT 63372 708 42 the the DT 63372 708 43 light light NN 63372 708 44 traveling travel VBG 63372 708 45 along along IN 63372 708 46 the the DT 63372 708 47 other other JJ 63372 708 48 arm arm NN 63372 708 49 would would MD 63372 708 50 assume assume VB 63372 708 51 the the DT 63372 708 52 greater great JJR 63372 708 53 speed speed NN 63372 708 54 . . . 63372 709 1 In in IN 63372 709 2 making make VBG 63372 709 3 observations observation NNS 63372 709 4 , , , 63372 709 5 therefore therefore RB 63372 709 6 , , , 63372 709 7 the the DT 63372 709 8 entire entire JJ 63372 709 9 apparatus apparatus NN 63372 709 10 was be VBD 63372 709 11 slowly slowly RB 63372 709 12 rotated rotate VBN 63372 709 13 , , , 63372 709 14 the the DT 63372 709 15 observers observer NNS 63372 709 16 walking walk VBG 63372 709 17 with with IN 63372 709 18 it -PRON- PRP 63372 709 19 , , , 63372 709 20 so so IN 63372 709 21 that that IN 63372 709 22 changes change NNS 63372 709 23 of of IN 63372 709 24 the the DT 63372 709 25 sort sort RB 63372 709 26 anticipated anticipate VBN 63372 709 27 would would MD 63372 709 28 be be VB 63372 709 29 observed observe VBN 63372 709 30 . . . 63372 710 1 The the DT 63372 710 2 investigators investigator NNS 63372 710 3 were be VBD 63372 710 4 , , , 63372 710 5 however however RB 63372 710 6 , , , 63372 710 7 ignorant ignorant JJ 63372 710 8 of of IN 63372 710 9 the the DT 63372 710 10 position position NN 63372 710 11 in in IN 63372 710 12 which which WDT 63372 710 13 the the DT 63372 710 14 apparatus apparatus NN 63372 710 15 ought ought MD 63372 710 16 to to TO 63372 710 17 be be VB 63372 710 18 set set VBN 63372 710 19 to to TO 63372 710 20 insure insure VB 63372 710 21 that that IN 63372 710 22 one one CD 63372 710 23 of of IN 63372 710 24 the the DT 63372 710 25 arms arm NNS 63372 710 26 lie lie NN 63372 710 27 across across IN 63372 710 28 the the DT 63372 710 29 ether ether NN 63372 710 30 drift drift NN 63372 710 31 ; ; : 63372 710 32 and and CC 63372 710 33 they -PRON- PRP 63372 710 34 were be VBD 63372 710 35 ignorant ignorant JJ 63372 710 36 of of IN 63372 710 37 the the DT 63372 710 38 time time NN 63372 710 39 of of IN 63372 710 40 year year NN 63372 710 41 at at IN 63372 710 42 which which WDT 63372 710 43 the the DT 63372 710 44 earth earth NN 63372 710 45 's 's POS 63372 710 46 maximum maximum JJ 63372 710 47 velocity velocity NN 63372 710 48 through through IN 63372 710 49 the the DT 63372 710 50 ether ether NN 63372 710 51 was be VBD 63372 710 52 to to TO 63372 710 53 be be VB 63372 710 54 looked look VBN 63372 710 55 for for IN 63372 710 56 . . . 63372 711 1 In in IN 63372 711 2 particular particular JJ 63372 711 3 , , , 63372 711 4 it -PRON- PRP 63372 711 5 is be VBZ 63372 711 6 plain plain JJ 63372 711 7 that that IN 63372 711 8 if if IN 63372 711 9 the the DT 63372 711 10 solar solar JJ 63372 711 11 system system NN 63372 711 12 as as IN 63372 711 13 a a DT 63372 711 14 whole whole NN 63372 711 15 is be VBZ 63372 711 16 moving move VBG 63372 711 17 through through IN 63372 711 18 the the DT 63372 711 19 ether ether NN 63372 711 20 at at IN 63372 711 21 a a DT 63372 711 22 rate rate NN 63372 711 23 less less JJR 63372 711 24 than than IN 63372 711 25 the the DT 63372 711 26 earth earth NN 63372 711 27 's 's POS 63372 711 28 orbital orbital JJ 63372 711 29 velocity velocity NN 63372 711 30 , , , 63372 711 31 there there EX 63372 711 32 is be VBZ 63372 711 33 a a DT 63372 711 34 point point NN 63372 711 35 in in IN 63372 711 36 our -PRON- PRP$ 63372 711 37 orbit orbit NN 63372 711 38 where where WRB 63372 711 39 our -PRON- PRP$ 63372 711 40 velocity velocity NN 63372 711 41 through through IN 63372 711 42 the the DT 63372 711 43 ether ether NN 63372 711 44 and and CC 63372 711 45 that that IN 63372 711 46 around around IN 63372 711 47 the the DT 63372 711 48 sun sun NN 63372 711 49 just just RB 63372 711 50 cancel cancel VB 63372 711 51 out out RP 63372 711 52 and and CC 63372 711 53 leave leave VB 63372 711 54 us -PRON- PRP 63372 711 55 temporarily temporarily RB 63372 711 56 in in IN 63372 711 57 a a DT 63372 711 58 state state NN 63372 711 59 of of IN 63372 711 60 " " `` 63372 711 61 absolute absolute JJ 63372 711 62 rest rest NN 63372 711 63 . . . 63372 711 64 " " '' 63372 712 1 So so RB 63372 712 2 it -PRON- PRP 63372 712 3 was be VBD 63372 712 4 anticipated anticipate VBN 63372 712 5 that that IN 63372 712 6 the the DT 63372 712 7 experiment experiment NN 63372 712 8 might may MD 63372 712 9 have have VB 63372 712 10 to to TO 63372 712 11 be be VB 63372 712 12 repeated repeat VBN 63372 712 13 in in IN 63372 712 14 many many JJ 63372 712 15 orientations orientation NNS 63372 712 16 of of IN 63372 712 17 the the DT 63372 712 18 machine machine NN 63372 712 19 and and CC 63372 712 20 at at IN 63372 712 21 many many JJ 63372 712 22 seasons season NNS 63372 712 23 of of IN 63372 712 24 the the DT 63372 712 25 year year NN 63372 712 26 in in IN 63372 712 27 order order NN 63372 712 28 to to TO 63372 712 29 give give VB 63372 712 30 a a DT 63372 712 31 series series NN 63372 712 32 of of IN 63372 712 33 readings reading NNS 63372 712 34 from from IN 63372 712 35 which which WDT 63372 712 36 the the DT 63372 712 37 true true JJ 63372 712 38 motion motion NN 63372 712 39 of of IN 63372 712 40 the the DT 63372 712 41 earth earth NN 63372 712 42 through through IN 63372 712 43 the the DT 63372 712 44 ether ether NN 63372 712 45 might may MD 63372 712 46 be be VB 63372 712 47 deduced deduce VBN 63372 712 48 . . . 63372 713 1 For for IN 63372 713 2 those those DT 63372 713 3 who who WP 63372 713 4 have have VBP 63372 713 5 a a DT 63372 713 6 little little JJ 63372 713 7 algebra algebra NN 63372 713 8 the the DT 63372 713 9 demonstration demonstration NN 63372 713 10 which which WDT 63372 713 11 Dr. Dr. NNP 63372 713 12 Russell Russell NNP 63372 713 13 gives give VBZ 63372 713 14 on on IN 63372 713 15 a a DT 63372 713 16 subsequent subsequent JJ 63372 713 17 page page NN 63372 713 18 will will MD 63372 713 19 be be VB 63372 713 20 interesting interesting JJ 63372 713 21 as as IN 63372 713 22 showing show VBG 63372 713 23 the the DT 63372 713 24 situation situation NN 63372 713 25 in in IN 63372 713 26 perfectly perfectly RB 63372 713 27 general general JJ 63372 713 28 terms term NNS 63372 713 29 . . . 63372 714 1 It -PRON- PRP 63372 714 2 will will MD 63372 714 3 be be VB 63372 714 4 realized realize VBN 63372 714 5 that that IN 63372 714 6 the the DT 63372 714 7 more more RBR 63372 714 8 complicated complicated JJ 63372 714 9 arrangement arrangement NN 63372 714 10 of of IN 63372 714 11 mirrors mirror NNS 63372 714 12 in in IN 63372 714 13 the the DT 63372 714 14 experiment experiment NN 63372 714 15 as as IN 63372 714 16 just just RB 63372 714 17 described describe VBN 63372 714 18 is be VBZ 63372 714 19 simply simply RB 63372 714 20 an an DT 63372 714 21 eightfold eightfold JJ 63372 714 22 repetition repetition NN 63372 714 23 of of IN 63372 714 24 the the DT 63372 714 25 simple simple JJ 63372 714 26 experiment experiment NN 63372 714 27 as as IN 63372 714 28 outlined outline VBN 63372 714 29 by by IN 63372 714 30 Dr. Dr. NNP 63372 714 31 Russell Russell NNP 63372 714 32 , , , 63372 714 33 and and CC 63372 714 34 that that IN 63372 714 35 it -PRON- PRP 63372 714 36 was be VBD 63372 714 37 done do VBN 63372 714 38 so so RB 63372 714 39 for for IN 63372 714 40 the the DT 63372 714 41 mere mere JJ 63372 714 42 sake sake NN 63372 714 43 of of IN 63372 714 44 multiplying multiply VBG 63372 714 45 by by IN 63372 714 46 eight eight CD 63372 714 47 the the DT 63372 714 48 distances distance NNS 63372 714 49 travelled travel VBD 63372 714 50 and and CC 63372 714 51 hence hence RB 63372 714 52 the the DT 63372 714 53 difference difference NN 63372 714 54 in in IN 63372 714 55 time time NN 63372 714 56 and and CC 63372 714 57 in in IN 63372 714 58 phase phase NN 63372 714 59 . . . 63372 715 1 And and CC 63372 715 2 now now RB 63372 715 3 for for IN 63372 715 4 the the DT 63372 715 5 grand grand JJ 63372 715 6 climax climax NN 63372 715 7 . . . 63372 716 1 The the DT 63372 716 2 experiment experiment NN 63372 716 3 was be VBD 63372 716 4 repeated repeat VBN 63372 716 5 many many JJ 63372 716 6 times time NNS 63372 716 7 , , , 63372 716 8 with with IN 63372 716 9 the the DT 63372 716 10 original original JJ 63372 716 11 and and CC 63372 716 12 with with IN 63372 716 13 other other JJ 63372 716 14 apparatus apparatus NN 63372 716 15 , , , 63372 716 16 indoors indoor NNS 63372 716 17 and and CC 63372 716 18 outdoors outdoors RB 63372 716 19 , , , 63372 716 20 at at IN 63372 716 21 all all DT 63372 716 22 seasons season NNS 63372 716 23 of of IN 63372 716 24 the the DT 63372 716 25 year year NN 63372 716 26 , , , 63372 716 27 with with IN 63372 716 28 variation variation NN 63372 716 29 of of IN 63372 716 30 every every DT 63372 716 31 condition condition NN 63372 716 32 that that WDT 63372 716 33 could could MD 63372 716 34 imaginably imaginably RB 63372 716 35 affect affect VB 63372 716 36 the the DT 63372 716 37 result result NN 63372 716 38 . . . 63372 717 1 The the DT 63372 717 2 apparatus apparatus NN 63372 717 3 was be VBD 63372 717 4 ordinarily ordinarily RB 63372 717 5 such such JJ 63372 717 6 that that IN 63372 717 7 a a DT 63372 717 8 shift shift NN 63372 717 9 in in IN 63372 717 10 the the DT 63372 717 11 fringes fringe NNS 63372 717 12 of of IN 63372 717 13 anywhere anywhere RB 63372 717 14 from from IN 63372 717 15 one one CD 63372 717 16 - - HYPH 63372 717 17 tenth tenth NN 63372 717 18 to to IN 63372 717 19 one one CD 63372 717 20 one one CD 63372 717 21 - - HYPH 63372 717 22 hundredth hundredth NN 63372 717 23 of of IN 63372 717 24 that that DT 63372 717 25 which which WDT 63372 717 26 would would MD 63372 717 27 have have VB 63372 717 28 followed follow VBN 63372 717 29 from from IN 63372 717 30 any any DT 63372 717 31 reasonable reasonable JJ 63372 717 32 value value NN 63372 717 33 for for IN 63372 717 34 the the DT 63372 717 35 earth earth NN 63372 717 36 's 's POS 63372 717 37 motion motion NN 63372 717 38 through through IN 63372 717 39 the the DT 63372 717 40 ether ether NN 63372 717 41 would would MD 63372 717 42 have have VB 63372 717 43 been be VBN 63372 717 44 systematically systematically RB 63372 717 45 apparent apparent JJ 63372 717 46 . . . 63372 718 1 The the DT 63372 718 2 result result NN 63372 718 3 was be VBD 63372 718 4 uniformly uniformly RB 63372 718 5 negative negative JJ 63372 718 6 . . . 63372 719 1 At at IN 63372 719 2 all all DT 63372 719 3 times time NNS 63372 719 4 and and CC 63372 719 5 in in IN 63372 719 6 all all DT 63372 719 7 directions direction NNS 63372 719 8 the the DT 63372 719 9 velocity velocity NN 63372 719 10 of of IN 63372 719 11 light light NN 63372 719 12 past past IN 63372 719 13 the the DT 63372 719 14 earth earth NN 63372 719 15 - - HYPH 63372 719 16 bound bind VBN 63372 719 17 observer observer NN 63372 719 18 was be VBD 63372 719 19 the the DT 63372 719 20 same same JJ 63372 719 21 . . . 63372 720 1 The the DT 63372 720 2 earth earth NN 63372 720 3 has have VBZ 63372 720 4 no no DT 63372 720 5 motion motion NN 63372 720 6 with with IN 63372 720 7 reference reference NN 63372 720 8 to to IN 63372 720 9 the the DT 63372 720 10 ether ether NN 63372 720 11 ! ! . 63372 721 1 [ [ -LRB- 63372 721 2 The the DT 63372 721 3 amazing amazing JJ 63372 721 4 character character NN 63372 721 5 of of IN 63372 721 6 this this DT 63372 721 7 result result NN 63372 721 8 is be VBZ 63372 721 9 not not RB 63372 721 10 by by IN 63372 721 11 any any DT 63372 721 12 possibility possibility NN 63372 721 13 to to TO 63372 721 14 be be VB 63372 721 15 exaggerated exaggerate VBN 63372 721 16 . . . 63372 722 1 ] ] -RRB- 63372 722 2 * * NFP 63372 722 3 [ [ -LRB- 63372 722 4 According accord VBG 63372 722 5 to to IN 63372 722 6 one one CD 63372 722 7 experiment experiment NN 63372 722 8 the the DT 63372 722 9 ether ether NN 63372 722 10 was be VBD 63372 722 11 carried carry VBN 63372 722 12 along along RP 63372 722 13 by by IN 63372 722 14 a a DT 63372 722 15 rapidly rapidly RB 63372 722 16 moving move VBG 63372 722 17 body body NN 63372 722 18 and and CC 63372 722 19 according accord VBG 63372 722 20 to to IN 63372 722 21 another another DT 63372 722 22 equally equally RB 63372 722 23 well well RB 63372 722 24 - - HYPH 63372 722 25 planned plan VBN 63372 722 26 and and CC 63372 722 27 well well RB 63372 722 28 - - HYPH 63372 722 29 executed execute VBN 63372 722 30 experiment experiment NN 63372 722 31 a a DT 63372 722 32 rapidly rapidly RB 63372 722 33 moving move VBG 63372 722 34 body body NN 63372 722 35 did do VBD 63372 722 36 not not RB 63372 722 37 disturb disturb VB 63372 722 38 the the DT 63372 722 39 ether ether NN 63372 722 40 at at RB 63372 722 41 all all RB 63372 722 42 . . . 63372 723 1 This this DT 63372 723 2 was be VBD 63372 723 3 the the DT 63372 723 4 blind blind JJ 63372 723 5 alley alley NN 63372 723 6 into into IN 63372 723 7 which which WDT 63372 723 8 science science NN 63372 723 9 had have VBD 63372 723 10 been be VBN 63372 723 11 led lead VBN 63372 723 12 . . . 63372 724 1 ] ] -RRB- 63372 724 2 232 232 CD 63372 724 3 THE the DT 63372 724 4 " " `` 63372 724 5 CONTRACTION contraction NN 63372 724 6 " " '' 63372 724 7 HYPOTHESIS hypothesis NN 63372 724 8 [ [ -LRB- 63372 724 9 Numerous numerous JJ 63372 724 10 efforts effort NNS 63372 724 11 were be VBD 63372 724 12 made make VBN 63372 724 13 to to TO 63372 724 14 explain explain VB 63372 724 15 the the DT 63372 724 16 contradiction contradiction NN 63372 724 17 . . . 63372 725 1 ] ] -RRB- 63372 725 2 * * NFP 63372 725 3 [ [ -LRB- 63372 725 4 It -PRON- PRP 63372 725 5 is be VBZ 63372 725 6 indeed indeed RB 63372 725 7 a a DT 63372 725 8 very very RB 63372 725 9 puzzling puzzling JJ 63372 725 10 one one CD 63372 725 11 , , , 63372 725 12 and and CC 63372 725 13 it -PRON- PRP 63372 725 14 gave give VBD 63372 725 15 physicists physicist NNS 63372 725 16 no no DT 63372 725 17 end end NN 63372 725 18 of of IN 63372 725 19 trouble trouble NN 63372 725 20 . . . 63372 726 1 However however RB 63372 726 2 Lorentz Lorentz NNP 63372 726 3 and and CC 63372 726 4 Fitzgerald Fitzgerald NNP 63372 726 5 finally finally RB 63372 726 6 put put VBD 63372 726 7 forward forward RP 63372 726 8 an an DT 63372 726 9 ingenious ingenious JJ 63372 726 10 explanation explanation NN 63372 726 11 , , , 63372 726 12 to to IN 63372 726 13 the the DT 63372 726 14 effect effect NN 63372 726 15 that that WDT 63372 726 16 the the DT 63372 726 17 actual actual JJ 63372 726 18 motion motion NN 63372 726 19 of of IN 63372 726 20 the the DT 63372 726 21 earth earth NN 63372 726 22 through through IN 63372 726 23 the the DT 63372 726 24 ether ether NN 63372 726 25 is be VBZ 63372 726 26 balanced balance VBN 63372 726 27 , , , 63372 726 28 as as RB 63372 726 29 far far RB 63372 726 30 as as IN 63372 726 31 the the DT 63372 726 32 ability ability NN 63372 726 33 of of IN 63372 726 34 our -PRON- PRP$ 63372 726 35 measuring measure VBG 63372 726 36 instruments instrument NNS 63372 726 37 is be VBZ 63372 726 38 concerned concern VBN 63372 726 39 , , , 63372 726 40 by by IN 63372 726 41 a a DT 63372 726 42 contraction contraction NN 63372 726 43 of of IN 63372 726 44 these these DT 63372 726 45 same same JJ 63372 726 46 instruments instrument NNS 63372 726 47 in in IN 63372 726 48 the the DT 63372 726 49 direction direction NN 63372 726 50 of of IN 63372 726 51 their -PRON- PRP$ 63372 726 52 motion motion NN 63372 726 53 . . . 63372 727 1 This this DT 63372 727 2 contraction contraction NN 63372 727 3 obviously obviously RB 63372 727 4 can can MD 63372 727 5 not not RB 63372 727 6 be be VB 63372 727 7 observed observe VBN 63372 727 8 directly directly RB 63372 727 9 because because IN 63372 727 10 all all DT 63372 727 11 bodies body NNS 63372 727 12 , , , 63372 727 13 including include VBG 63372 727 14 the the DT 63372 727 15 measuring measure VBG 63372 727 16 instruments instrument NNS 63372 727 17 themselves -PRON- PRP 63372 727 18 ( ( -LRB- 63372 727 19 which which WDT 63372 727 20 after after RB 63372 727 21 all all RB 63372 727 22 are be VBP 63372 727 23 only only RB 63372 727 24 arbitrary arbitrary JJ 63372 727 25 guides guide NNS 63372 727 26 ) ) -RRB- 63372 727 27 , , , 63372 727 28 will will MD 63372 727 29 suffer suffer VB 63372 727 30 the the DT 63372 727 31 contraction contraction NN 63372 727 32 equally equally RB 63372 727 33 . . . 63372 728 1 According accord VBG 63372 728 2 to to IN 63372 728 3 this this DT 63372 728 4 theory theory NN 63372 728 5 , , , 63372 728 6 called call VBN 63372 728 7 the the DT 63372 728 8 Lorentz Lorentz NNP 63372 728 9 - - HYPH 63372 728 10 Fitzgerald Fitzgerald NNP 63372 728 11 contraction contraction NN 63372 728 12 theory,]272 theory,]272 CD 63372 728 13 [ [ -LRB- 63372 728 14 all all DT 63372 728 15 bodies body NNS 63372 728 16 in in IN 63372 728 17 motion motion NN 63372 728 18 suffer suffer VBP 63372 728 19 such such JJ 63372 728 20 contraction contraction NN 63372 728 21 of of IN 63372 728 22 their -PRON- PRP$ 63372 728 23 length length NN 63372 728 24 in in IN 63372 728 25 the the DT 63372 728 26 direction direction NN 63372 728 27 of of IN 63372 728 28 their -PRON- PRP$ 63372 728 29 motion;]283 motion;]283 NNP 63372 728 30 [ [ -LRB- 63372 728 31 the the DT 63372 728 32 contraction contraction NN 63372 728 33 being be VBG 63372 728 34 made make VBN 63372 728 35 evident evident JJ 63372 728 36 by by IN 63372 728 37 our -PRON- PRP$ 63372 728 38 inability inability NN 63372 728 39 to to TO 63372 728 40 observe observe VB 63372 728 41 the the DT 63372 728 42 absolute absolute JJ 63372 728 43 motion motion NN 63372 728 44 of of IN 63372 728 45 the the DT 63372 728 46 earth earth NN 63372 728 47 , , , 63372 728 48 which which WDT 63372 728 49 it -PRON- PRP 63372 728 50 is be VBZ 63372 728 51 assumed assume VBN 63372 728 52 must must MD 63372 728 53 exist exist VB 63372 728 54 . . . 63372 729 1 ] ] -RRB- 63372 729 2 272 272 CD 63372 729 3 [ [ -LRB- 63372 729 4 This this DT 63372 729 5 would would MD 63372 729 6 suffice suffice VB 63372 729 7 to to TO 63372 729 8 show show VB 63372 729 9 why why WRB 63372 729 10 the the DT 63372 729 11 Michelson Michelson NNP 63372 729 12 - - HYPH 63372 729 13 Morley Morley NNP 63372 729 14 experiment experiment NN 63372 729 15 gave give VBD 63372 729 16 a a DT 63372 729 17 negative negative JJ 63372 729 18 result result NN 63372 729 19 , , , 63372 729 20 and and CC 63372 729 21 would would MD 63372 729 22 preserve preserve VB 63372 729 23 the the DT 63372 729 24 concept concept NN 63372 729 25 of of IN 63372 729 26 absolute absolute JJ 63372 729 27 motion motion NN 63372 729 28 with with IN 63372 729 29 reference reference NN 63372 729 30 to to IN 63372 729 31 the the DT 63372 729 32 ether ether NN 63372 729 33 . . . 63372 730 1 ] ] -RRB- 63372 730 2 283 283 CD 63372 730 3 [ [ -LRB- 63372 730 4 This this DT 63372 730 5 proposal proposal NN 63372 730 6 of of IN 63372 730 7 Lorentz Lorentz NNP 63372 730 8 and and CC 63372 730 9 Fitzgerald Fitzgerald NNP 63372 730 10 loses lose VBZ 63372 730 11 its -PRON- PRP$ 63372 730 12 startling startling JJ 63372 730 13 aspect aspect NN 63372 730 14 when when WRB 63372 730 15 we -PRON- PRP 63372 730 16 consider consider VBP 63372 730 17 that that IN 63372 730 18 all all DT 63372 730 19 matter matter NN 63372 730 20 appears appear VBZ 63372 730 21 to to TO 63372 730 22 be be VB 63372 730 23 an an DT 63372 730 24 electrical electrical JJ 63372 730 25 structure structure NN 63372 730 26 , , , 63372 730 27 and and CC 63372 730 28 that that IN 63372 730 29 the the DT 63372 730 30 dimensions dimension NNS 63372 730 31 of of IN 63372 730 32 the the DT 63372 730 33 electric electric JJ 63372 730 34 and and CC 63372 730 35 magnetic magnetic JJ 63372 730 36 fields field NNS 63372 730 37 which which WDT 63372 730 38 accompany accompany VBP 63372 730 39 the the DT 63372 730 40 electrons electron NNS 63372 730 41 of of IN 63372 730 42 which which WDT 63372 730 43 it -PRON- PRP 63372 730 44 is be VBZ 63372 730 45 constituted constituted JJ 63372 730 46 change change NN 63372 730 47 with with IN 63372 730 48 the the DT 63372 730 49 velocity velocity NN 63372 730 50 of of IN 63372 730 51 motion motion NN 63372 730 52 . . . 63372 731 1 ] ] -RRB- 63372 731 2 267 267 CD 63372 731 3 [ [ -LRB- 63372 731 4 The the DT 63372 731 5 forces force NNS 63372 731 6 of of IN 63372 731 7 cohesion cohesion NN 63372 731 8 which which WDT 63372 731 9 determine determine VBP 63372 731 10 the the DT 63372 731 11 form form NN 63372 731 12 of of IN 63372 731 13 a a DT 63372 731 14 rigid rigid JJ 63372 731 15 body body NN 63372 731 16 are be VBP 63372 731 17 held hold VBN 63372 731 18 to to TO 63372 731 19 be be VB 63372 731 20 electromagnetic electromagnetic JJ 63372 731 21 in in IN 63372 731 22 nature nature NN 63372 731 23 ; ; : 63372 731 24 the the DT 63372 731 25 contraction contraction NN 63372 731 26 may may MD 63372 731 27 be be VB 63372 731 28 regarded regard VBN 63372 731 29 as as IN 63372 731 30 due due IN 63372 731 31 to to IN 63372 731 32 a a DT 63372 731 33 change change NN 63372 731 34 in in IN 63372 731 35 the the DT 63372 731 36 electromagnetic electromagnetic JJ 63372 731 37 forces force NNS 63372 731 38 between between IN 63372 731 39 the the DT 63372 731 40 molecules molecule NNS 63372 731 41 . . . 63372 732 1 ] ] -RRB- 63372 732 2 10 10 CD 63372 732 3 [ [ -LRB- 63372 732 4 As as IN 63372 732 5 one one CD 63372 732 6 writer writer NN 63372 732 7 has have VBZ 63372 732 8 put put VBN 63372 732 9 it -PRON- PRP 63372 732 10 , , , 63372 732 11 the the DT 63372 732 12 orientation orientation NN 63372 732 13 , , , 63372 732 14 in in IN 63372 732 15 the the DT 63372 732 16 electromagnetic electromagnetic JJ 63372 732 17 medium medium NN 63372 732 18 , , , 63372 732 19 of of IN 63372 732 20 a a DT 63372 732 21 body body NN 63372 732 22 depending depend VBG 63372 732 23 for for IN 63372 732 24 its -PRON- PRP$ 63372 732 25 very very JJ 63372 732 26 existence existence NN 63372 732 27 upon upon IN 63372 732 28 electromagnetic electromagnetic JJ 63372 732 29 forces force NNS 63372 732 30 is be VBZ 63372 732 31 not not RB 63372 732 32 necessarily necessarily RB 63372 732 33 a a DT 63372 732 34 matter matter NN 63372 732 35 of of IN 63372 732 36 indifference indifference NN 63372 732 37 . . . 63372 733 1 ] ] -RRB- 63372 733 2 * * NFP 63372 733 3 [ [ -LRB- 63372 733 4 Granting grant VBG 63372 733 5 the the DT 63372 733 6 plausibility plausibility NN 63372 733 7 of of IN 63372 733 8 all all PDT 63372 733 9 this this DT 63372 733 10 , , , 63372 733 11 on on IN 63372 733 12 the the DT 63372 733 13 basis basis NN 63372 733 14 of of IN 63372 733 15 an an DT 63372 733 16 electromagnetic electromagnetic JJ 63372 733 17 theory theory NN 63372 733 18 of of IN 63372 733 19 matter matter NN 63372 733 20 , , , 63372 733 21 it -PRON- PRP 63372 733 22 leaves leave VBZ 63372 733 23 us -PRON- PRP 63372 733 24 in in IN 63372 733 25 an an DT 63372 733 26 unsatisfactory unsatisfactory JJ 63372 733 27 position position NN 63372 733 28 . . . 63372 734 1 We -PRON- PRP 63372 734 2 are be VBP 63372 734 3 left leave VBN 63372 734 4 with with IN 63372 734 5 a a DT 63372 734 6 fixed fix VBN 63372 734 7 ether ether NN 63372 734 8 with with IN 63372 734 9 reference reference NN 63372 734 10 to to TO 63372 734 11 which which WDT 63372 734 12 absolute absolute JJ 63372 734 13 motion motion NN 63372 734 14 has have VBZ 63372 734 15 a a DT 63372 734 16 meaning meaning NN 63372 734 17 , , , 63372 734 18 but but CC 63372 734 19 that that IN 63372 734 20 motion motion NN 63372 734 21 remains remain VBZ 63372 734 22 undetected undetected JJ 63372 734 23 and and CC 63372 734 24 apparently apparently RB 63372 734 25 undetectable undetectable JJ 63372 734 26 . . . 63372 735 1 Further further RB 63372 735 2 , , , 63372 735 3 if if IN 63372 735 4 we -PRON- PRP 63372 735 5 on on IN 63372 735 6 shore shore NN 63372 735 7 measure measure NN 63372 735 8 the the DT 63372 735 9 length length NN 63372 735 10 of of IN 63372 735 11 a a DT 63372 735 12 moving move VBG 63372 735 13 ship ship NN 63372 735 14 , , , 63372 735 15 using use VBG 63372 735 16 a a DT 63372 735 17 yard yard NN 63372 735 18 - - HYPH 63372 735 19 stick stick NN 63372 735 20 which which WDT 63372 735 21 is be VBZ 63372 735 22 stationary stationary JJ 63372 735 23 on on IN 63372 735 24 shore shore NN 63372 735 25 , , , 63372 735 26 we -PRON- PRP 63372 735 27 shall shall MD 63372 735 28 obtain obtain VB 63372 735 29 one one CD 63372 735 30 result result NN 63372 735 31 . . . 63372 736 1 If if IN 63372 736 2 we -PRON- PRP 63372 736 3 take take VBP 63372 736 4 our -PRON- PRP$ 63372 736 5 stick stick NN 63372 736 6 aboard aboard IN 63372 736 7 it -PRON- PRP 63372 736 8 contracts contract VBZ 63372 736 9 , , , 63372 736 10 and and CC 63372 736 11 so so RB 63372 736 12 we -PRON- PRP 63372 736 13 obtain obtain VBP 63372 736 14 a a DT 63372 736 15 greater great JJR 63372 736 16 length length NN 63372 736 17 for for IN 63372 736 18 the the DT 63372 736 19 ship ship NN 63372 736 20 . . . 63372 737 1 Not not RB 63372 737 2 knowing know VBG 63372 737 3 our -PRON- PRP$ 63372 737 4 " " `` 63372 737 5 real real JJ 63372 737 6 " " '' 63372 737 7 motion motion NN 63372 737 8 through through IN 63372 737 9 the the DT 63372 737 10 ether ether NN 63372 737 11 , , , 63372 737 12 we -PRON- PRP 63372 737 13 can can MD 63372 737 14 not not RB 63372 737 15 say say VB 63372 737 16 which which WDT 63372 737 17 is be VBZ 63372 737 18 the the DT 63372 737 19 " " `` 63372 737 20 true true JJ 63372 737 21 " " '' 63372 737 22 length length NN 63372 737 23 . . . 63372 738 1 Is be VBZ 63372 738 2 it -PRON- PRP 63372 738 3 not not RB 63372 738 4 , , , 63372 738 5 then then RB 63372 738 6 , , , 63372 738 7 more more RBR 63372 738 8 satisfactory satisfactory JJ 63372 738 9 to to TO 63372 738 10 discard discard VB 63372 738 11 all all DT 63372 738 12 notion notion NN 63372 738 13 of of IN 63372 738 14 true true JJ 63372 738 15 length length NN 63372 738 16 as as IN 63372 738 17 an an DT 63372 738 18 inherent inherent JJ 63372 738 19 quality quality NN 63372 738 20 of of IN 63372 738 21 bodies body NNS 63372 738 22 , , , 63372 738 23 and and CC 63372 738 24 , , , 63372 738 25 by by IN 63372 738 26 regarding regard VBG 63372 738 27 length length NN 63372 738 28 as as IN 63372 738 29 the the DT 63372 738 30 measure measure NN 63372 738 31 of of IN 63372 738 32 a a DT 63372 738 33 relation relation NN 63372 738 34 between between IN 63372 738 35 a a DT 63372 738 36 particular particular JJ 63372 738 37 object object NN 63372 738 38 and and CC 63372 738 39 a a DT 63372 738 40 particular particular JJ 63372 738 41 observer observer NN 63372 738 42 , , , 63372 738 43 to to TO 63372 738 44 make make VB 63372 738 45 one one CD 63372 738 46 length length NN 63372 738 47 as as RB 63372 738 48 true true JJ 63372 738 49 as as IN 63372 738 50 the the DT 63372 738 51 other other JJ 63372 738 52 ? ? . 63372 739 1 ] ] -RRB- 63372 739 2 182 182 CD 63372 739 3 [ [ -LRB- 63372 739 4 The the DT 63372 739 5 opponents opponent NNS 63372 739 6 of of IN 63372 739 7 such such PDT 63372 739 8 a a DT 63372 739 9 viewpoint viewpoint NN 63372 739 10 contend contend VB 63372 739 11 that that IN 63372 739 12 Michelson Michelson NNP 63372 739 13 's 's POS 63372 739 14 result result NN 63372 739 15 was be VBD 63372 739 16 due due JJ 63372 739 17 to to IN 63372 739 18 a a DT 63372 739 19 fluke fluke NN 63372 739 20 ; ; : 63372 739 21 some some DT 63372 739 22 mysterious mysterious JJ 63372 739 23 counterbalancing counterbalance VBG 63372 739 24 influence influence NN 63372 739 25 was be VBD 63372 739 26 for for IN 63372 739 27 some some DT 63372 739 28 reason reason NN 63372 739 29 at at IN 63372 739 30 work work NN 63372 739 31 , , , 63372 739 32 concealing conceal VBG 63372 739 33 the the DT 63372 739 34 result result NN 63372 739 35 which which WDT 63372 739 36 should should MD 63372 739 37 normally normally RB 63372 739 38 have have VB 63372 739 39 been be VBN 63372 739 40 expected expect VBN 63372 739 41 . . . 63372 740 1 Einstein Einstein NNP 63372 740 2 refuses refuse VBZ 63372 740 3 to to TO 63372 740 4 accept accept VB 63372 740 5 this this DT 63372 740 6 explanation;]192 explanation;]192 NNP 63372 740 7 [ [ -LRB- 63372 740 8 he -PRON- PRP 63372 740 9 refuses refuse VBZ 63372 740 10 to to TO 63372 740 11 believe believe VB 63372 740 12 that that IN 63372 740 13 all all DT 63372 740 14 nature nature NN 63372 740 15 is be VBZ 63372 740 16 in in IN 63372 740 17 a a DT 63372 740 18 contemptible contemptible JJ 63372 740 19 conspiracy conspiracy NN 63372 740 20 to to TO 63372 740 21 delude delude VB 63372 740 22 us -PRON- PRP 63372 740 23 . . . 63372 741 1 ] ] -RRB- 63372 741 2 * * NFP 63372 741 3 [ [ -LRB- 63372 741 4 The the DT 63372 741 5 Fitzgerald Fitzgerald NNP 63372 741 6 suggestion suggestion NN 63372 741 7 is be VBZ 63372 741 8 further further RB 63372 741 9 unsatisfactory unsatisfactory JJ 63372 741 10 because because IN 63372 741 11 it -PRON- PRP 63372 741 12 assumes assume VBZ 63372 741 13 all all DT 63372 741 14 substances substance NNS 63372 741 15 , , , 63372 741 16 of of IN 63372 741 17 whatever whatever WDT 63372 741 18 density density NN 63372 741 19 , , , 63372 741 20 to to TO 63372 741 21 undergo undergo VB 63372 741 22 the the DT 63372 741 23 same same JJ 63372 741 24 contraction contraction NN 63372 741 25 ; ; : 63372 741 26 and and CC 63372 741 27 above above IN 63372 741 28 all all DT 63372 741 29 for for IN 63372 741 30 the the DT 63372 741 31 reason reason NN 63372 741 32 that that WDT 63372 741 33 it -PRON- PRP 63372 741 34 sheds shed VBZ 63372 741 35 no no DT 63372 741 36 light light NN 63372 741 37 upon upon IN 63372 741 38 other other JJ 63372 741 39 phenomena phenomenon NNS 63372 741 40 . . . 63372 742 1 ] ] -RRB- 63372 742 2 194 194 CD 63372 742 3 [ [ -LRB- 63372 742 4 It -PRON- PRP 63372 742 5 is be VBZ 63372 742 6 indeed indeed RB 63372 742 7 a a DT 63372 742 8 very very RB 63372 742 9 special special JJ 63372 742 10 explanation explanation NN 63372 742 11 ; ; : 63372 742 12 that that RB 63372 742 13 is is RB 63372 742 14 , , , 63372 742 15 it -PRON- PRP 63372 742 16 applies apply VBZ 63372 742 17 only only RB 63372 742 18 to to IN 63372 742 19 the the DT 63372 742 20 particular particular JJ 63372 742 21 experiment experiment NN 63372 742 22 in in IN 63372 742 23 question question NN 63372 742 24 . . . 63372 743 1 And and CC 63372 743 2 indeed indeed RB 63372 743 3 it -PRON- PRP 63372 743 4 is be VBZ 63372 743 5 only only RB 63372 743 6 one one CD 63372 743 7 of of IN 63372 743 8 many many JJ 63372 743 9 possible possible JJ 63372 743 10 explanations explanation NNS 63372 743 11 . . . 63372 744 1 Einstein Einstein NNP 63372 744 2 conceived conceive VBD 63372 744 3 the the DT 63372 744 4 notion notion NN 63372 744 5 that that IN 63372 744 6 it -PRON- PRP 63372 744 7 might may MD 63372 744 8 be be VB 63372 744 9 infinitely infinitely RB 63372 744 10 more more RBR 63372 744 11 valuable valuable JJ 63372 744 12 to to TO 63372 744 13 take take VB 63372 744 14 the the DT 63372 744 15 most most RBS 63372 744 16 general general JJ 63372 744 17 explanation explanation NN 63372 744 18 possible possible JJ 63372 744 19 , , , 63372 744 20 and and CC 63372 744 21 then then RB 63372 744 22 try try VB 63372 744 23 to to TO 63372 744 24 find find VB 63372 744 25 from from IN 63372 744 26 this this DT 63372 744 27 its -PRON- PRP$ 63372 744 28 logical logical JJ 63372 744 29 consequences consequence NNS 63372 744 30 . . . 63372 745 1 This this DT 63372 745 2 " " `` 63372 745 3 most most JJS 63372 745 4 general general JJ 63372 745 5 explanation explanation NN 63372 745 6 " " '' 63372 745 7 is be VBZ 63372 745 8 , , , 63372 745 9 of of IN 63372 745 10 course course NN 63372 745 11 , , , 63372 745 12 simply simply RB 63372 745 13 that that IN 63372 745 14 it -PRON- PRP 63372 745 15 is be VBZ 63372 745 16 impossible impossible JJ 63372 745 17 in in IN 63372 745 18 any any DT 63372 745 19 way way NN 63372 745 20 whatever whatever WDT 63372 745 21 to to TO 63372 745 22 measure measure VB 63372 745 23 the the DT 63372 745 24 absolute absolute JJ 63372 745 25 motion motion NN 63372 745 26 of of IN 63372 745 27 a a DT 63372 745 28 body body NN 63372 745 29 in in IN 63372 745 30 space space NN 63372 745 31 . . . 63372 746 1 ] ] -RRB- 63372 746 2 272 272 CD 63372 746 3 [ [ -LRB- 63372 746 4 Accordingly Accordingly NNP 63372 746 5 Einstein Einstein NNP 63372 746 6 enunciated enunciate VBD 63372 746 7 , , , 63372 746 8 first first RB 63372 746 9 the the DT 63372 746 10 Special Special NNP 63372 746 11 Theory Theory NNP 63372 746 12 of of IN 63372 746 13 Relativity Relativity NNP 63372 746 14 , , , 63372 746 15 and and CC 63372 746 16 later later RB 63372 746 17 the the DT 63372 746 18 General General NNP 63372 746 19 Theory Theory NNP 63372 746 20 of of IN 63372 746 21 Relativity Relativity NNP 63372 746 22 . . . 63372 747 1 The the DT 63372 747 2 special special JJ 63372 747 3 theory theory NN 63372 747 4 was be VBD 63372 747 5 so so RB 63372 747 6 called call VBN 63372 747 7 because because IN 63372 747 8 it -PRON- PRP 63372 747 9 was be VBD 63372 747 10 , , , 63372 747 11 limited limit VBN 63372 747 12 to to TO 63372 747 13 uniform uniform VB 63372 747 14 rectilinear rectilinear JJ 63372 747 15 and and CC 63372 747 16 non non JJ 63372 747 17 - - JJ 63372 747 18 rotary rotary JJ 63372 747 19 motions motion NNS 63372 747 20 . . . 63372 748 1 The the DT 63372 748 2 general general JJ 63372 748 3 theory theory NN 63372 748 4 , , , 63372 748 5 on on IN 63372 748 6 the the DT 63372 748 7 other other JJ 63372 748 8 hand hand NN 63372 748 9 , , , 63372 748 10 dealt deal VBD 63372 748 11 not not RB 63372 748 12 only only RB 63372 748 13 with with IN 63372 748 14 uniform uniform JJ 63372 748 15 rectilinear rectilinear JJ 63372 748 16 motions motion NNS 63372 748 17 , , , 63372 748 18 but but CC 63372 748 19 with with IN 63372 748 20 any any DT 63372 748 21 arbitrary arbitrary JJ 63372 748 22 motion motion NN 63372 748 23 whatever whatever WDT 63372 748 24 . . . 63372 749 1 TAKING take VBG 63372 749 2 THE the DT 63372 749 3 BULL bull NN 63372 749 4 BY by IN 63372 749 5 THE the DT 63372 749 6 HORNS horns PDT 63372 749 7 The the DT 63372 749 8 hypothesis hypothesis NN 63372 749 9 of of IN 63372 749 10 relativity relativity NN 63372 749 11 asserts assert VBZ 63372 749 12 that that IN 63372 749 13 there there EX 63372 749 14 can can MD 63372 749 15 be be VB 63372 749 16 no no DT 63372 749 17 such such JJ 63372 749 18 concept concept NN 63372 749 19 as as IN 63372 749 20 absolute absolute JJ 63372 749 21 position position NN 63372 749 22 , , , 63372 749 23 absolute absolute JJ 63372 749 24 motion motion NN 63372 749 25 , , , 63372 749 26 absolute absolute JJ 63372 749 27 time time NN 63372 749 28 ; ; : 63372 749 29 that that DT 63372 749 30 space space NN 63372 749 31 and and CC 63372 749 32 time time NN 63372 749 33 are be VBP 63372 749 34 inter inter JJ 63372 749 35 - - JJ 63372 749 36 dependent dependent JJ 63372 749 37 , , , 63372 749 38 not not RB 63372 749 39 independent independent JJ 63372 749 40 ; ; : 63372 749 41 that that IN 63372 749 42 everything everything NN 63372 749 43 is be VBZ 63372 749 44 relative relative JJ 63372 749 45 to to IN 63372 749 46 something something NN 63372 749 47 else else RB 63372 749 48 . . . 63372 750 1 It -PRON- PRP 63372 750 2 thus thus RB 63372 750 3 accords accord VBZ 63372 750 4 with with IN 63372 750 5 the the DT 63372 750 6 philosophical philosophical JJ 63372 750 7 notion notion NN 63372 750 8 of of IN 63372 750 9 the the DT 63372 750 10 relativity relativity NN 63372 750 11 of of IN 63372 750 12 all all DT 63372 750 13 knowledge knowledge NN 63372 750 14 . . . 63372 751 1 ] ] -RRB- 63372 751 2 283 283 CD 63372 751 3 [ [ -LRB- 63372 751 4 Knowledge knowledge NN 63372 751 5 is be VBZ 63372 751 6 based base VBN 63372 751 7 , , , 63372 751 8 ultimately ultimately RB 63372 751 9 , , , 63372 751 10 upon upon IN 63372 751 11 measurement measurement NN 63372 751 12 ; ; : 63372 751 13 and and CC 63372 751 14 clearly clearly RB 63372 751 15 all all DT 63372 751 16 measurement measurement NN 63372 751 17 is be VBZ 63372 751 18 relative relative JJ 63372 751 19 , , , 63372 751 20 consisting consist VBG 63372 751 21 merely merely RB 63372 751 22 in in IN 63372 751 23 the the DT 63372 751 24 application application NN 63372 751 25 of of IN 63372 751 26 a a DT 63372 751 27 standard standard NN 63372 751 28 to to IN 63372 751 29 the the DT 63372 751 30 magnitude magnitude NN 63372 751 31 measured measure VBN 63372 751 32 . . . 63372 752 1 All all DT 63372 752 2 metric metric JJ 63372 752 3 numbers number NNS 63372 752 4 are be VBP 63372 752 5 relative relative JJ 63372 752 6 ; ; : 63372 752 7 dividing divide VBG 63372 752 8 the the DT 63372 752 9 unit unit NN 63372 752 10 multiplies multiply VBZ 63372 752 11 the the DT 63372 752 12 metric metric JJ 63372 752 13 number number NN 63372 752 14 . . . 63372 753 1 Moreover moreover RB 63372 753 2 , , , 63372 753 3 if if IN 63372 753 4 measure measure NN 63372 753 5 and and CC 63372 753 6 measured measured JJ 63372 753 7 change change NN 63372 753 8 proportionately proportionately RB 63372 753 9 , , , 63372 753 10 the the DT 63372 753 11 measuring measure VBG 63372 753 12 number number NN 63372 753 13 is be VBZ 63372 753 14 unchanged unchanged JJ 63372 753 15 . . . 63372 754 1 Should Should MD 63372 754 2 space space VB 63372 754 3 with with IN 63372 754 4 all all DT 63372 754 5 its -PRON- PRP$ 63372 754 6 contents content NNS 63372 754 7 swell swell VBP 63372 754 8 in in IN 63372 754 9 fixed fix VBN 63372 754 10 ratio ratio NN 63372 754 11 throughout throughout IN 63372 754 12 , , , 63372 754 13 no no DT 63372 754 14 measurement measurement NN 63372 754 15 could could MD 63372 754 16 detect detect VB 63372 754 17 this this DT 63372 754 18 ; ; : 63372 754 19 nor nor CC 63372 754 20 even even RB 63372 754 21 should should MD 63372 754 22 it -PRON- PRP 63372 754 23 pulse pulse VB 63372 754 24 uniformly uniformly RB 63372 754 25 throughout throughout IN 63372 754 26 . . . 63372 755 1 Furthermore furthermore RB 63372 755 2 , , , 63372 755 3 were be VBD 63372 755 4 space space NN 63372 755 5 and and CC 63372 755 6 space space NN 63372 755 7 - - HYPH 63372 755 8 contents content NNS 63372 755 9 in in IN 63372 755 10 any any DT 63372 755 11 way way NN 63372 755 12 systematically systematically RB 63372 755 13 transformed transform VBN 63372 755 14 ( ( -LRB- 63372 755 15 as as IN 63372 755 16 by by IN 63372 755 17 reflection reflection NN 63372 755 18 in in IN 63372 755 19 curved curved JJ 63372 755 20 mirrors mirror NNS 63372 755 21 ) ) -RRB- 63372 755 22 point point VBP 63372 755 23 for for IN 63372 755 24 point point NN 63372 755 25 , , , 63372 755 26 continuously continuously RB 63372 755 27 , , , 63372 755 28 without without IN 63372 755 29 rending rend VBG 63372 755 30 , , , 63372 755 31 no no DT 63372 755 32 measurement measurement NN 63372 755 33 could could MD 63372 755 34 reveal reveal VB 63372 755 35 this this DT 63372 755 36 distortion distortion NN 63372 755 37 ; ; : 63372 755 38 experience experience NN 63372 755 39 would would MD 63372 755 40 proceed proceed VB 63372 755 41 undisturbed undisturbed JJ 63372 755 42 . . . 63372 756 1 ] ] -RRB- 63372 756 2 263 263 CD 63372 756 3 [ [ -LRB- 63372 756 4 Mark Mark NNP 63372 756 5 Twain Twain NNP 63372 756 6 said say VBD 63372 756 7 that that IN 63372 756 8 the the DT 63372 756 9 street street NN 63372 756 10 in in IN 63372 756 11 Damascus Damascus NNP 63372 756 12 " " '' 63372 756 13 which which WDT 63372 756 14 is be VBZ 63372 756 15 called call VBN 63372 756 16 straight straight JJ 63372 756 17 , , , 63372 756 18 " " '' 63372 756 19 is be VBZ 63372 756 20 so so RB 63372 756 21 called call VBN 63372 756 22 because because IN 63372 756 23 while while IN 63372 756 24 it -PRON- PRP 63372 756 25 is be VBZ 63372 756 26 not not RB 63372 756 27 as as RB 63372 756 28 straight straight RB 63372 756 29 as as IN 63372 756 30 a a DT 63372 756 31 rainbow rainbow NN 63372 756 32 it -PRON- PRP 63372 756 33 is be VBZ 63372 756 34 straighter straight JJR 63372 756 35 than than IN 63372 756 36 a a DT 63372 756 37 corkscrew corkscrew NN 63372 756 38 . . . 63372 757 1 This this DT 63372 757 2 expresses express VBZ 63372 757 3 the the DT 63372 757 4 basic basic JJ 63372 757 5 idea idea NN 63372 757 6 of of IN 63372 757 7 relativity relativity NN 63372 757 8 -- -- : 63372 757 9 the the DT 63372 757 10 idea idea NN 63372 757 11 of of IN 63372 757 12 comparison comparison NN 63372 757 13 . . . 63372 758 1 All all DT 63372 758 2 our -PRON- PRP$ 63372 758 3 knowledge knowledge NN 63372 758 4 is be VBZ 63372 758 5 relative relative JJ 63372 758 6 , , , 63372 758 7 not not RB 63372 758 8 absolute absolute JJ 63372 758 9 . . . 63372 759 1 Things thing NNS 63372 759 2 are be VBP 63372 759 3 big big JJ 63372 759 4 or or CC 63372 759 5 little little JJ 63372 759 6 , , , 63372 759 7 long long JJ 63372 759 8 or or CC 63372 759 9 short short JJ 63372 759 10 , , , 63372 759 11 light light JJ 63372 759 12 or or CC 63372 759 13 heavy heavy JJ 63372 759 14 , , , 63372 759 15 fast fast JJ 63372 759 16 or or CC 63372 759 17 slow slow JJ 63372 759 18 , , , 63372 759 19 only only RB 63372 759 20 by by IN 63372 759 21 comparison comparison NN 63372 759 22 . . . 63372 760 1 An an DT 63372 760 2 atom atom NN 63372 760 3 may may MD 63372 760 4 be be VB 63372 760 5 as as RB 63372 760 6 large large JJ 63372 760 7 , , , 63372 760 8 compared compare VBN 63372 760 9 to to IN 63372 760 10 an an DT 63372 760 11 electron electron NN 63372 760 12 , , , 63372 760 13 as as IN 63372 760 14 is be VBZ 63372 760 15 a a DT 63372 760 16 cathedral cathedral NN 63372 760 17 compared compare VBN 63372 760 18 to to IN 63372 760 19 a a DT 63372 760 20 fly fly NN 63372 760 21 . . . 63372 761 1 The the DT 63372 761 2 relativity relativity NN 63372 761 3 theory theory NN 63372 761 4 of of IN 63372 761 5 Einstein Einstein NNP 63372 761 6 emphasizes emphasize VBZ 63372 761 7 two two CD 63372 761 8 cases case NNS 63372 761 9 of of IN 63372 761 10 relative relative JJ 63372 761 11 knowledge knowledge NN 63372 761 12 ; ; : 63372 761 13 our -PRON- PRP$ 63372 761 14 knowledge knowledge NN 63372 761 15 of of IN 63372 761 16 time time NN 63372 761 17 and and CC 63372 761 18 space space NN 63372 761 19 , , , 63372 761 20 and and CC 63372 761 21 our -PRON- PRP$ 63372 761 22 knowledge knowledge NN 63372 761 23 of of IN 63372 761 24 motion motion NN 63372 761 25 . . . 63372 762 1 ] ] -RRB- 63372 762 2 216 216 CD 63372 762 3 [ [ -LRB- 63372 762 4 And and CC 63372 762 5 in in IN 63372 762 6 each each DT 63372 762 7 case case NN 63372 762 8 , , , 63372 762 9 instead instead RB 63372 762 10 of of IN 63372 762 11 allowing allow VBG 63372 762 12 the the DT 63372 762 13 notions notion NNS 63372 762 14 of of IN 63372 762 15 relativity relativity NN 63372 762 16 to to TO 63372 762 17 guide guide VB 63372 762 18 us -PRON- PRP 63372 762 19 only only RB 63372 762 20 so so RB 63372 762 21 far far RB 63372 762 22 as as IN 63372 762 23 it -PRON- PRP 63372 762 24 pleases please VBZ 63372 762 25 us -PRON- PRP 63372 762 26 to to TO 63372 762 27 follow follow VB 63372 762 28 them -PRON- PRP 63372 762 29 , , , 63372 762 30 there there RB 63372 762 31 abandoning abandon VBG 63372 762 32 them -PRON- PRP 63372 762 33 for for IN 63372 762 34 ideas idea NNS 63372 762 35 more more RBR 63372 762 36 in in IN 63372 762 37 accord accord NN 63372 762 38 with with IN 63372 762 39 what what WP 63372 762 40 we -PRON- PRP 63372 762 41 find find VBP 63372 762 42 it -PRON- PRP 63372 762 43 easy easy JJ 63372 762 44 to to TO 63372 762 45 take take VB 63372 762 46 for for IN 63372 762 47 granted grant VBN 63372 762 48 , , , 63372 762 49 Einstein Einstein NNP 63372 762 50 builds build VBZ 63372 762 51 his -PRON- PRP$ 63372 762 52 structure structure NN 63372 762 53 on on IN 63372 762 54 the the DT 63372 762 55 thesis thesis NN 63372 762 56 that that IN 63372 762 57 relativity relativity NN 63372 762 58 must must MD 63372 762 59 be be VB 63372 762 60 admitted admit VBN 63372 762 61 , , , 63372 762 62 must must MD 63372 762 63 be be VB 63372 762 64 followed follow VBN 63372 762 65 out out RP 63372 762 66 to to IN 63372 762 67 the the DT 63372 762 68 bitter bitter JJ 63372 762 69 end end NN 63372 762 70 , , , 63372 762 71 in in IN 63372 762 72 spite spite NN 63372 762 73 of of IN 63372 762 74 anything anything NN 63372 762 75 that that WDT 63372 762 76 it -PRON- PRP 63372 762 77 may may MD 63372 762 78 do do VB 63372 762 79 to to IN 63372 762 80 our -PRON- PRP$ 63372 762 81 preconceived preconceived JJ 63372 762 82 notions notion NNS 63372 762 83 . . . 63372 763 1 If if IN 63372 763 2 relativity relativity NN 63372 763 3 is be VBZ 63372 763 4 to to TO 63372 763 5 be be VB 63372 763 6 admitted admit VBN 63372 763 7 at at RB 63372 763 8 all all RB 63372 763 9 , , , 63372 763 10 it -PRON- PRP 63372 763 11 must must MD 63372 763 12 be be VB 63372 763 13 admitted admit VBN 63372 763 14 in in IN 63372 763 15 toto toto NN 63372 763 16 ; ; : 63372 763 17 no no RB 63372 763 18 matter matter RB 63372 763 19 what what WP 63372 763 20 else else RB 63372 763 21 it -PRON- PRP 63372 763 22 contradicts contradict VBZ 63372 763 23 , , , 63372 763 24 we -PRON- PRP 63372 763 25 have have VBP 63372 763 26 no no DT 63372 763 27 appeal appeal NN 63372 763 28 from from IN 63372 763 29 its -PRON- PRP$ 63372 763 30 conclusions conclusion NNS 63372 763 31 so so RB 63372 763 32 long long RB 63372 763 33 as as IN 63372 763 34 it -PRON- PRP 63372 763 35 refrains refrain VBZ 63372 763 36 from from IN 63372 763 37 contradicting contradict VBG 63372 763 38 itself -PRON- PRP 63372 763 39 . . . 63372 764 1 ] ] -RRB- 63372 764 2 * * NFP 63372 764 3 [ [ -LRB- 63372 764 4 The the DT 63372 764 5 hypothesis hypothesis NN 63372 764 6 of of IN 63372 764 7 relativity relativity NN 63372 764 8 was be VBD 63372 764 9 developed develop VBN 63372 764 10 by by IN 63372 764 11 Einstein Einstein NNP 63372 764 12 through through IN 63372 764 13 a a DT 63372 764 14 priori priori FW 63372 764 15 methods method NNS 63372 764 16 , , , 63372 764 17 not not RB 63372 764 18 the the DT 63372 764 19 more more RBR 63372 764 20 usual usual JJ 63372 764 21 a a DT 63372 764 22 posteriori posteriori NN 63372 764 23 ones one NNS 63372 764 24 . . . 63372 765 1 That that RB 63372 765 2 is is RB 63372 765 3 , , , 63372 765 4 certain certain JJ 63372 765 5 principles principle NNS 63372 765 6 were be VBD 63372 765 7 enunciated enunciate VBN 63372 765 8 as as IN 63372 765 9 probably probably RB 63372 765 10 true true JJ 63372 765 11 , , , 63372 765 12 the the DT 63372 765 13 consequences consequence NNS 63372 765 14 of of IN 63372 765 15 these these DT 63372 765 16 were be VBD 63372 765 17 developed develop VBN 63372 765 18 , , , 63372 765 19 and and CC 63372 765 20 these these DT 63372 765 21 deductions deduction NNS 63372 765 22 tested test VBN 63372 765 23 by by IN 63372 765 24 comparison comparison NN 63372 765 25 of of IN 63372 765 26 the the DT 63372 765 27 predicted predict VBN 63372 765 28 and and CC 63372 765 29 the the DT 63372 765 30 observed observed JJ 63372 765 31 phenomena phenomenon NNS 63372 765 32 . . . 63372 766 1 It -PRON- PRP 63372 766 2 was be VBD 63372 766 3 in in IN 63372 766 4 no no DT 63372 766 5 sense sense NN 63372 766 6 attained attain VBN 63372 766 7 by by IN 63372 766 8 the the DT 63372 766 9 more more RBR 63372 766 10 usual usual JJ 63372 766 11 procedure procedure NN 63372 766 12 of of IN 63372 766 13 observing observe VBG 63372 766 14 groups group NNS 63372 766 15 of of IN 63372 766 16 phenomena phenomenon NNS 63372 766 17 and and CC 63372 766 18 formulating formulate VBG 63372 766 19 a a DT 63372 766 20 law law NN 63372 766 21 or or CC 63372 766 22 formula formula NN 63372 766 23 which which WDT 63372 766 24 would would MD 63372 766 25 embrace embrace VB 63372 766 26 them -PRON- PRP 63372 766 27 and and CC 63372 766 28 correctly correctly RB 63372 766 29 describe describe VB 63372 766 30 the the DT 63372 766 31 routine routine JJ 63372 766 32 or or CC 63372 766 33 sequence sequence NN 63372 766 34 of of IN 63372 766 35 phenomena phenomenon NNS 63372 766 36 . . . 63372 767 1 The the DT 63372 767 2 first first JJ 63372 767 3 principle principle NN 63372 767 4 thus thus RB 63372 767 5 enunciated enunciate VBD 63372 767 6 is be VBZ 63372 767 7 that that IN 63372 767 8 it -PRON- PRP 63372 767 9 is be VBZ 63372 767 10 impossible impossible JJ 63372 767 11 to to TO 63372 767 12 measure measure VB 63372 767 13 or or CC 63372 767 14 detect detect VB 63372 767 15 absolute absolute JJ 63372 767 16 translatory translatory JJ 63372 767 17 motion motion NN 63372 767 18 through through IN 63372 767 19 space space NN 63372 767 20 , , , 63372 767 21 under under IN 63372 767 22 any any DT 63372 767 23 circumstances circumstance NNS 63372 767 24 or or CC 63372 767 25 by by IN 63372 767 26 any any DT 63372 767 27 means mean NNS 63372 767 28 . . . 63372 768 1 The the DT 63372 768 2 second second JJ 63372 768 3 is be VBZ 63372 768 4 that that IN 63372 768 5 the the DT 63372 768 6 velocity velocity NN 63372 768 7 of of IN 63372 768 8 light light NN 63372 768 9 in in IN 63372 768 10 free free JJ 63372 768 11 space space NN 63372 768 12 appears appear VBZ 63372 768 13 the the DT 63372 768 14 same same JJ 63372 768 15 to to IN 63372 768 16 all all DT 63372 768 17 observers observer NNS 63372 768 18 regardless regardless RB 63372 768 19 of of IN 63372 768 20 the the DT 63372 768 21 relative relative JJ 63372 768 22 motion motion NN 63372 768 23 of of IN 63372 768 24 the the DT 63372 768 25 source source NN 63372 768 26 of of IN 63372 768 27 light light NN 63372 768 28 and and CC 63372 768 29 the the DT 63372 768 30 observer observer NN 63372 768 31 . . . 63372 769 1 This this DT 63372 769 2 velocity velocity NN 63372 769 3 is be VBZ 63372 769 4 not not RB 63372 769 5 affected affect VBN 63372 769 6 by by IN 63372 769 7 motion motion NN 63372 769 8 of of IN 63372 769 9 the the DT 63372 769 10 source source NN 63372 769 11 toward toward IN 63372 769 12 or or CC 63372 769 13 away away RB 63372 769 14 from from IN 63372 769 15 the the DT 63372 769 16 observer,]283 observer,]283 NN 63372 769 17 [ [ -LRB- 63372 769 18 if if IN 63372 769 19 we -PRON- PRP 63372 769 20 may may MD 63372 769 21 for for IN 63372 769 22 the the DT 63372 769 23 moment moment NN 63372 769 24 use use VB 63372 769 25 this this DT 63372 769 26 expression expression NN 63372 769 27 with with IN 63372 769 28 its -PRON- PRP$ 63372 769 29 implication implication NN 63372 769 30 of of IN 63372 769 31 absolute absolute JJ 63372 769 32 motion motion NN 63372 769 33 . . . 63372 770 1 ] ] -RRB- 63372 770 2 * * NFP 63372 770 3 [ [ -LRB- 63372 770 4 But but CC 63372 770 5 universal universal JJ 63372 770 6 relativity relativity NN 63372 770 7 insists insist VBZ 63372 770 8 that that IN 63372 770 9 motion motion NN 63372 770 10 of of IN 63372 770 11 the the DT 63372 770 12 source source NN 63372 770 13 toward toward IN 63372 770 14 the the DT 63372 770 15 observer observer NN 63372 770 16 is be VBZ 63372 770 17 identical identical JJ 63372 770 18 with with IN 63372 770 19 motion motion NN 63372 770 20 of of IN 63372 770 21 the the DT 63372 770 22 observer observer NN 63372 770 23 toward toward IN 63372 770 24 the the DT 63372 770 25 source source NN 63372 770 26 . . . 63372 771 1 ] ] -RRB- 63372 771 2 283 283 CD 63372 771 3 [ [ -LRB- 63372 771 4 It -PRON- PRP 63372 771 5 will will MD 63372 771 6 be be VB 63372 771 7 seen see VBN 63372 771 8 that that IN 63372 771 9 we -PRON- PRP 63372 771 10 are be VBP 63372 771 11 at at IN 63372 771 12 once once RB 63372 771 13 on on IN 63372 771 14 the the DT 63372 771 15 horns horn NNS 63372 771 16 of of IN 63372 771 17 a a DT 63372 771 18 dilemma dilemma NN 63372 771 19 . . . 63372 772 1 Either either CC 63372 772 2 we -PRON- PRP 63372 772 3 must must MD 63372 772 4 give give VB 63372 772 5 up up RP 63372 772 6 relativity relativity NN 63372 772 7 before before IN 63372 772 8 we -PRON- PRP 63372 772 9 get get VBP 63372 772 10 fairly fairly RB 63372 772 11 started start VBN 63372 772 12 on on IN 63372 772 13 it -PRON- PRP 63372 772 14 , , , 63372 772 15 or or CC 63372 772 16 we -PRON- PRP 63372 772 17 must must MD 63372 772 18 overturn overturn VB 63372 772 19 the the DT 63372 772 20 foundations foundation NNS 63372 772 21 of of IN 63372 772 22 common common JJ 63372 772 23 sense sense NN 63372 772 24 by by IN 63372 772 25 admitting admit VBG 63372 772 26 that that DT 63372 772 27 time time NN 63372 772 28 and and CC 63372 772 29 space space NN 63372 772 30 are be VBP 63372 772 31 so so RB 63372 772 32 constituted constituted JJ 63372 772 33 that that IN 63372 772 34 when when WRB 63372 772 35 we -PRON- PRP 63372 772 36 go go VBP 63372 772 37 to to TO 63372 772 38 meet meet VB 63372 772 39 an an DT 63372 772 40 advancing advance VBG 63372 772 41 light light NN 63372 772 42 - - HYPH 63372 772 43 impulse impulse NN 63372 772 44 , , , 63372 772 45 or or CC 63372 772 46 when when WRB 63372 772 47 we -PRON- PRP 63372 772 48 retreat retreat VBP 63372 772 49 from from IN 63372 772 50 it -PRON- PRP 63372 772 51 , , , 63372 772 52 it -PRON- PRP 63372 772 53 still still RB 63372 772 54 reaches reach VBZ 63372 772 55 us -PRON- PRP 63372 772 56 with with IN 63372 772 57 the the DT 63372 772 58 same same JJ 63372 772 59 velocity velocity NN 63372 772 60 as as IN 63372 772 61 though though IN 63372 772 62 we -PRON- PRP 63372 772 63 stood stand VBD 63372 772 64 still still RB 63372 772 65 waiting wait VBG 63372 772 66 for for IN 63372 772 67 it -PRON- PRP 63372 772 68 . . . 63372 773 1 We -PRON- PRP 63372 773 2 shall shall MD 63372 773 3 find find VB 63372 773 4 when when WRB 63372 773 5 we -PRON- PRP 63372 773 6 are be VBP 63372 773 7 through through IN 63372 773 8 with with IN 63372 773 9 our -PRON- PRP$ 63372 773 10 investigation investigation NN 63372 773 11 that that IN 63372 773 12 common common JJ 63372 773 13 sense sense NN 63372 773 14 is be VBZ 63372 773 15 at at IN 63372 773 16 fault fault NN 63372 773 17 ; ; : 63372 773 18 that that IN 63372 773 19 our -PRON- PRP$ 63372 773 20 fixed fix VBN 63372 773 21 impression impression NN 63372 773 22 of of IN 63372 773 23 the the DT 63372 773 24 absurdity absurdity NN 63372 773 25 of of IN 63372 773 26 the the DT 63372 773 27 state state NN 63372 773 28 of of IN 63372 773 29 affairs affair NNS 63372 773 30 just just RB 63372 773 31 outlined outline VBD 63372 773 32 springs spring NNS 63372 773 33 from from IN 63372 773 34 a a DT 63372 773 35 confusion confusion NN 63372 773 36 between between IN 63372 773 37 relativism relativism NN 63372 773 38 and and CC 63372 773 39 absolutism absolutism NN 63372 773 40 which which WDT 63372 773 41 has have VBZ 63372 773 42 heretofore heretofore RB 63372 773 43 dominated dominate VBN 63372 773 44 our -PRON- PRP$ 63372 773 45 thought thought NN 63372 773 46 and and CC 63372 773 47 gone go VBN 63372 773 48 unquestioned unquestioned JJ 63372 773 49 . . . 63372 774 1 The the DT 63372 774 2 impression impression NN 63372 774 3 of of IN 63372 774 4 absurdity absurdity NN 63372 774 5 will will MD 63372 774 6 vanish vanish VB 63372 774 7 when when WRB 63372 774 8 we -PRON- PRP 63372 774 9 have have VBP 63372 774 10 resolved resolve VBN 63372 774 11 this this DT 63372 774 12 confusion confusion NN 63372 774 13 . . . 63372 775 1 ] ] -RRB- 63372 775 2 * * NFP 63372 775 3 QUESTIONS questions NN 63372 775 4 OF of IN 63372 775 5 COMMON common JJ 63372 775 6 SENSE SENSE NNS 63372 775 7 [ [ -LRB- 63372 775 8 But but CC 63372 775 9 it -PRON- PRP 63372 775 10 is be VBZ 63372 775 11 obvious obvious JJ 63372 775 12 from from IN 63372 775 13 what what WP 63372 775 14 has have VBZ 63372 775 15 just just RB 63372 775 16 been be VBN 63372 775 17 said say VBN 63372 775 18 that that IN 63372 775 19 if if IN 63372 775 20 we -PRON- PRP 63372 775 21 are be VBP 63372 775 22 to to TO 63372 775 23 adopt adopt VB 63372 775 24 Einstein Einstein NNP 63372 775 25 's 's POS 63372 775 26 theory theory NN 63372 775 27 , , , 63372 775 28 we -PRON- PRP 63372 775 29 must must MD 63372 775 30 make make VB 63372 775 31 very very RB 63372 775 32 radical radical JJ 63372 775 33 changes change NNS 63372 775 34 in in IN 63372 775 35 some some DT 63372 775 36 of of IN 63372 775 37 our -PRON- PRP$ 63372 775 38 fundamental fundamental JJ 63372 775 39 notions notion NNS 63372 775 40 , , , 63372 775 41 changes change NNS 63372 775 42 that that WDT 63372 775 43 seem seem VBP 63372 775 44 in in IN 63372 775 45 violent violent JJ 63372 775 46 conflict conflict NN 63372 775 47 with with IN 63372 775 48 common common JJ 63372 775 49 sense sense NN 63372 775 50 . . . 63372 776 1 It -PRON- PRP 63372 776 2 is be VBZ 63372 776 3 unfortunate unfortunate JJ 63372 776 4 that that IN 63372 776 5 many many JJ 63372 776 6 popularizers popularizer NNS 63372 776 7 of of IN 63372 776 8 relativity relativity NN 63372 776 9 have have VBP 63372 776 10 been be VBN 63372 776 11 more more RBR 63372 776 12 concerned concerned JJ 63372 776 13 to to TO 63372 776 14 astonish astonish VB 63372 776 15 their -PRON- PRP$ 63372 776 16 readers reader NNS 63372 776 17 with with IN 63372 776 18 incredible incredible JJ 63372 776 19 paradoxes paradox NNS 63372 776 20 than than IN 63372 776 21 to to TO 63372 776 22 give give VB 63372 776 23 an an DT 63372 776 24 account account NN 63372 776 25 such such JJ 63372 776 26 as as IN 63372 776 27 would would MD 63372 776 28 appeal appeal VB 63372 776 29 to to TO 63372 776 30 sound sound JJ 63372 776 31 judgment judgment NN 63372 776 32 . . . 63372 777 1 Many many JJ 63372 777 2 of of IN 63372 777 3 these these DT 63372 777 4 paradoxes paradox NNS 63372 777 5 do do VBP 63372 777 6 not not RB 63372 777 7 belong belong VB 63372 777 8 essentially essentially RB 63372 777 9 to to IN 63372 777 10 the the DT 63372 777 11 theory theory NN 63372 777 12 at at RB 63372 777 13 all all RB 63372 777 14 . . . 63372 778 1 There there EX 63372 778 2 is be VBZ 63372 778 3 nothing nothing NN 63372 778 4 in in IN 63372 778 5 the the DT 63372 778 6 latter latter JJ 63372 778 7 that that IN 63372 778 8 an an DT 63372 778 9 enlarged enlarge VBN 63372 778 10 and and CC 63372 778 11 enlightened enlighten VBN 63372 778 12 common common JJ 63372 778 13 sense sense NN 63372 778 14 would would MD 63372 778 15 not not RB 63372 778 16 readily readily RB 63372 778 17 endorse endorse VB 63372 778 18 . . . 63372 779 1 But but CC 63372 779 2 common common JJ 63372 779 3 sense sense NN 63372 779 4 must must MD 63372 779 5 be be VB 63372 779 6 educated educate VBN 63372 779 7 up up RP 63372 779 8 to to IN 63372 779 9 the the DT 63372 779 10 necessary necessary JJ 63372 779 11 level level NN 63372 779 12 . . . 63372 780 1 ] ] -RRB- 63372 780 2 141 141 CD 63372 780 3 [ [ -LRB- 63372 780 4 There there EX 63372 780 5 was be VBD 63372 780 6 a a DT 63372 780 7 time time NN 63372 780 8 when when WRB 63372 780 9 it -PRON- PRP 63372 780 10 was be VBD 63372 780 11 believed believe VBN 63372 780 12 , , , 63372 780 13 as as IN 63372 780 14 a a DT 63372 780 15 result result NN 63372 780 16 of of IN 63372 780 17 centuries century NNS 63372 780 18 of of IN 63372 780 19 experience experience NN 63372 780 20 , , , 63372 780 21 that that IN 63372 780 22 the the DT 63372 780 23 world world NN 63372 780 24 was be VBD 63372 780 25 flat flat JJ 63372 780 26 . . . 63372 781 1 This this DT 63372 781 2 belief belief NN 63372 781 3 checked check VBD 63372 781 4 up up RP 63372 781 5 with with IN 63372 781 6 the the DT 63372 781 7 known know VBN 63372 781 8 facts fact NNS 63372 781 9 , , , 63372 781 10 and and CC 63372 781 11 it -PRON- PRP 63372 781 12 could could MD 63372 781 13 be be VB 63372 781 14 used use VBN 63372 781 15 as as IN 63372 781 16 the the DT 63372 781 17 basis basis NN 63372 781 18 for for IN 63372 781 19 a a DT 63372 781 20 system system NN 63372 781 21 of of IN 63372 781 22 science science NN 63372 781 23 which which WDT 63372 781 24 would would MD 63372 781 25 account account VB 63372 781 26 for for IN 63372 781 27 things thing NNS 63372 781 28 that that WDT 63372 781 29 had have VBD 63372 781 30 happened happen VBN 63372 781 31 and and CC 63372 781 32 that that DT 63372 781 33 were be VBD 63372 781 34 to to TO 63372 781 35 happen happen VB 63372 781 36 . . . 63372 782 1 It -PRON- PRP 63372 782 2 was be VBD 63372 782 3 entirely entirely RB 63372 782 4 sufficient sufficient JJ 63372 782 5 for for IN 63372 782 6 the the DT 63372 782 7 time time NN 63372 782 8 in in IN 63372 782 9 which which WDT 63372 782 10 it -PRON- PRP 63372 782 11 prevailed prevail VBD 63372 782 12 . . . 63372 783 1 Then then RB 63372 783 2 one one CD 63372 783 3 day day NN 63372 783 4 a a DT 63372 783 5 man man NN 63372 783 6 arose arise VBD 63372 783 7 to to TO 63372 783 8 point point VB 63372 783 9 out out RP 63372 783 10 that that IN 63372 783 11 all all PDT 63372 783 12 the the DT 63372 783 13 known know VBN 63372 783 14 facts fact NNS 63372 783 15 were be VBD 63372 783 16 equally equally RB 63372 783 17 accounted account VBN 63372 783 18 for for IN 63372 783 19 on on IN 63372 783 20 the the DT 63372 783 21 theory theory NN 63372 783 22 that that IN 63372 783 23 the the DT 63372 783 24 earth earth NN 63372 783 25 was be VBD 63372 783 26 a a DT 63372 783 27 sphere sphere NN 63372 783 28 . . . 63372 784 1 It -PRON- PRP 63372 784 2 was be VBD 63372 784 3 in in IN 63372 784 4 order order NN 63372 784 5 for for IN 63372 784 6 his -PRON- PRP$ 63372 784 7 contemporaries contemporary NNS 63372 784 8 to to TO 63372 784 9 admit admit VB 63372 784 10 this this DT 63372 784 11 , , , 63372 784 12 to to TO 63372 784 13 say say VB 63372 784 14 that that DT 63372 784 15 so so RB 63372 784 16 far far RB 63372 784 17 as as IN 63372 784 18 the the DT 63372 784 19 facts fact NNS 63372 784 20 in in IN 63372 784 21 hand hand NN 63372 784 22 were be VBD 63372 784 23 concerned concern VBN 63372 784 24 they -PRON- PRP 63372 784 25 could could MD 63372 784 26 not not RB 63372 784 27 tell tell VB 63372 784 28 whether whether IN 63372 784 29 the the DT 63372 784 30 earth earth NN 63372 784 31 was be VBD 63372 784 32 flat flat JJ 63372 784 33 or or CC 63372 784 34 round round JJ 63372 784 35 -- -- : 63372 784 36 that that IN 63372 784 37 new new JJ 63372 784 38 facts fact NNS 63372 784 39 would would MD 63372 784 40 have have VB 63372 784 41 to to TO 63372 784 42 be be VB 63372 784 43 sought seek VBN 63372 784 44 that that WDT 63372 784 45 would would MD 63372 784 46 contradict contradict VB 63372 784 47 one one CD 63372 784 48 or or CC 63372 784 49 the the DT 63372 784 50 other other JJ 63372 784 51 hypothesis hypothesis NN 63372 784 52 . . . 63372 785 1 Instead instead RB 63372 785 2 of of IN 63372 785 3 this this DT 63372 785 4 the the DT 63372 785 5 world world NN 63372 785 6 laughed laugh VBD 63372 785 7 and and CC 63372 785 8 insisted insist VBD 63372 785 9 that that IN 63372 785 10 the the DT 63372 785 11 earth earth NN 63372 785 12 could could MD 63372 785 13 not not RB 63372 785 14 be be VB 63372 785 15 round round JJ 63372 785 16 because because IN 63372 785 17 it -PRON- PRP 63372 785 18 was be VBD 63372 785 19 flat flat JJ 63372 785 20 ; ; : 63372 785 21 that that IN 63372 785 22 it -PRON- PRP 63372 785 23 could could MD 63372 785 24 not not RB 63372 785 25 be be VB 63372 785 26 round round JJ 63372 785 27 because because IN 63372 785 28 then then RB 63372 785 29 the the DT 63372 785 30 people people NNS 63372 785 31 would would MD 63372 785 32 fall fall VB 63372 785 33 off off IN 63372 785 34 the the DT 63372 785 35 other other JJ 63372 785 36 side side NN 63372 785 37 . . . 63372 786 1 But but CC 63372 786 2 the the DT 63372 786 3 field field NN 63372 786 4 of of IN 63372 786 5 experimentation experimentation NN 63372 786 6 widened widen VBD 63372 786 7 , , , 63372 786 8 and and CC 63372 786 9 men man NNS 63372 786 10 were be VBD 63372 786 11 able able JJ 63372 786 12 to to TO 63372 786 13 observe observe VB 63372 786 14 facts fact NNS 63372 786 15 that that WDT 63372 786 16 had have VBD 63372 786 17 been be VBN 63372 786 18 hidden hide VBN 63372 786 19 from from IN 63372 786 20 them -PRON- PRP 63372 786 21 . . . 63372 787 1 Presently presently RB 63372 787 2 a a DT 63372 787 3 man man NN 63372 787 4 sailed sail VBD 63372 787 5 west west NNP 63372 787 6 and and CC 63372 787 7 arrived arrive VBD 63372 787 8 east east RB 63372 787 9 ; ; : 63372 787 10 and and CC 63372 787 11 it -PRON- PRP 63372 787 12 became become VBD 63372 787 13 clear clear JJ 63372 787 14 that that IN 63372 787 15 in in IN 63372 787 16 spite spite NN 63372 787 17 of of IN 63372 787 18 previously previously RB 63372 787 19 accepted accept VBN 63372 787 20 " " `` 63372 787 21 facts fact NNS 63372 787 22 " " '' 63372 787 23 to to IN 63372 787 24 the the DT 63372 787 25 contrary contrary NN 63372 787 26 , , , 63372 787 27 the the DT 63372 787 28 earth earth NN 63372 787 29 was be VBD 63372 787 30 really really RB 63372 787 31 round round JJ 63372 787 32 . . . 63372 788 1 The the DT 63372 788 2 previously previously RB 63372 788 3 accepted accept VBN 63372 788 4 " " `` 63372 788 5 facts fact NNS 63372 788 6 " " '' 63372 788 7 were be VBD 63372 788 8 then then RB 63372 788 9 revised revise VBN 63372 788 10 to to TO 63372 788 11 fit fit VB 63372 788 12 the the DT 63372 788 13 newly newly RB 63372 788 14 discovered discover VBN 63372 788 15 truth truth NN 63372 788 16 ; ; , 63372 788 17 and and CC 63372 788 18 finally finally RB 63372 788 19 a a DT 63372 788 20 new new JJ 63372 788 21 system system NN 63372 788 22 of of IN 63372 788 23 science science NN 63372 788 24 came come VBD 63372 788 25 into into IN 63372 788 26 being being NN 63372 788 27 , , , 63372 788 28 which which WDT 63372 788 29 accounted account VBD 63372 788 30 for for IN 63372 788 31 all all PDT 63372 788 32 the the DT 63372 788 33 old old JJ 63372 788 34 facts fact NNS 63372 788 35 and and CC 63372 788 36 all all PDT 63372 788 37 the the DT 63372 788 38 new new JJ 63372 788 39 ones one NNS 63372 788 40 . . . 63372 789 1 At at IN 63372 789 2 intervals interval NNS 63372 789 3 this this DT 63372 789 4 sort sort NN 63372 789 5 of of IN 63372 789 6 thing thing NN 63372 789 7 has have VBZ 63372 789 8 been be VBN 63372 789 9 repeated repeat VBN 63372 789 10 . . . 63372 790 1 A a DT 63372 790 2 Galileo Galileo NNP 63372 790 3 shows show VBZ 63372 790 4 that that IN 63372 790 5 preconceived preconceive VBN 63372 790 6 ideas idea NNS 63372 790 7 with with IN 63372 790 8 regard regard NN 63372 790 9 to to IN 63372 790 10 the the DT 63372 790 11 heavens heavens NNPS 63372 790 12 are be VBP 63372 790 13 wrong wrong JJ 63372 790 14 , , , 63372 790 15 and and CC 63372 790 16 must must MD 63372 790 17 be be VB 63372 790 18 revised revise VBN 63372 790 19 to to TO 63372 790 20 accord accord VB 63372 790 21 with with IN 63372 790 22 his -PRON- PRP$ 63372 790 23 newly newly RB 63372 790 24 promulgated promulgate VBN 63372 790 25 principles principle NNS 63372 790 26 . . . 63372 791 1 A a DT 63372 791 2 Newton Newton NNP 63372 791 3 does do VBZ 63372 791 4 the the DT 63372 791 5 same same JJ 63372 791 6 for for IN 63372 791 7 physics physics NN 63372 791 8 -- -- : 63372 791 9 and and CC 63372 791 10 people people NNS 63372 791 11 unlearn unlearn VBP 63372 791 12 the the DT 63372 791 13 " " `` 63372 791 14 fact fact NN 63372 791 15 " " '' 63372 791 16 that that IN 63372 791 17 motion motion NN 63372 791 18 has have VBZ 63372 791 19 to to TO 63372 791 20 be be VB 63372 791 21 supported support VBN 63372 791 22 by by IN 63372 791 23 continued continued JJ 63372 791 24 application application NN 63372 791 25 of of IN 63372 791 26 force force NN 63372 791 27 , , , 63372 791 28 substituting substitute VBG 63372 791 29 the the DT 63372 791 30 new new JJ 63372 791 31 idea idea NN 63372 791 32 that that IN 63372 791 33 it -PRON- PRP 63372 791 34 actually actually RB 63372 791 35 requires require VBZ 63372 791 36 force force NN 63372 791 37 to to TO 63372 791 38 stop stop VB 63372 791 39 a a DT 63372 791 40 moving move VBG 63372 791 41 body body NN 63372 791 42 . . . 63372 792 1 A a DT 63372 792 2 Harvey Harvey NNP 63372 792 3 shows show VBZ 63372 792 4 that that IN 63372 792 5 the the DT 63372 792 6 things thing NNS 63372 792 7 which which WDT 63372 792 8 have have VBP 63372 792 9 been be VBN 63372 792 10 " " `` 63372 792 11 known know VBN 63372 792 12 " " '' 63372 792 13 for for IN 63372 792 14 generations generation NNS 63372 792 15 about about IN 63372 792 16 the the DT 63372 792 17 human human JJ 63372 792 18 body body NN 63372 792 19 are be VBP 63372 792 20 not not RB 63372 792 21 so so RB 63372 792 22 . . . 63372 793 1 A a DT 63372 793 2 Lyell Lyell NNP 63372 793 3 and and CC 63372 793 4 a a DT 63372 793 5 Darwin Darwin NNP 63372 793 6 force force NN 63372 793 7 men man NNS 63372 793 8 to to TO 63372 793 9 throw throw VB 63372 793 10 overboard overboard RB 63372 793 11 the the DT 63372 793 12 things thing NNS 63372 793 13 they -PRON- PRP 63372 793 14 have have VBP 63372 793 15 always always RB 63372 793 16 believed believe VBN 63372 793 17 about about IN 63372 793 18 the the DT 63372 793 19 way way NN 63372 793 20 in in IN 63372 793 21 which which WDT 63372 793 22 the the DT 63372 793 23 earth earth NN 63372 793 24 and and CC 63372 793 25 its -PRON- PRP$ 63372 793 26 creatures creature NNS 63372 793 27 came come VBD 63372 793 28 into into IN 63372 793 29 being being NN 63372 793 30 . . . 63372 794 1 Every every DT 63372 794 2 science science NN 63372 794 3 we -PRON- PRP 63372 794 4 possess possess VBP 63372 794 5 has have VBZ 63372 794 6 passed pass VBN 63372 794 7 through through IN 63372 794 8 one one CD 63372 794 9 or or CC 63372 794 10 more more JJR 63372 794 11 of of IN 63372 794 12 these these DT 63372 794 13 periods period NNS 63372 794 14 of of IN 63372 794 15 readjustment readjustment NN 63372 794 16 to to IN 63372 794 17 new new JJ 63372 794 18 facts fact NNS 63372 794 19 . . . 63372 795 1 SHIFTING shift VBG 63372 795 2 THE the DT 63372 795 3 MENTAL mental JJ 63372 795 4 GEARS gear NNS 63372 795 5 Now now RB 63372 795 6 we -PRON- PRP 63372 795 7 are be VBP 63372 795 8 apt apt JJ 63372 795 9 to to TO 63372 795 10 lose lose VB 63372 795 11 sight sight NN 63372 795 12 of of IN 63372 795 13 the the DT 63372 795 14 true true JJ 63372 795 15 significance significance NN 63372 795 16 of of IN 63372 795 17 this this DT 63372 795 18 . . . 63372 796 1 It -PRON- PRP 63372 796 2 is be VBZ 63372 796 3 not not RB 63372 796 4 alone alone RB 63372 796 5 our -PRON- PRP$ 63372 796 6 opinions opinion NNS 63372 796 7 that that WDT 63372 796 8 are be VBP 63372 796 9 altered alter VBN 63372 796 10 ; ; : 63372 796 11 it -PRON- PRP 63372 796 12 is be VBZ 63372 796 13 our -PRON- PRP$ 63372 796 14 fundamental fundamental JJ 63372 796 15 concepts concept NNS 63372 796 16 . . . 63372 797 1 We -PRON- PRP 63372 797 2 get get VBP 63372 797 3 concepts concept NNS 63372 797 4 wholly wholly RB 63372 797 5 from from IN 63372 797 6 our -PRON- PRP$ 63372 797 7 perceptions perception NNS 63372 797 8 , , , 63372 797 9 making make VBG 63372 797 10 them -PRON- PRP 63372 797 11 to to TO 63372 797 12 fit fit VB 63372 797 13 those those DT 63372 797 14 perceptions perception NNS 63372 797 15 . . . 63372 798 1 Whenever whenever WRB 63372 798 2 a a DT 63372 798 3 new new JJ 63372 798 4 vista vista NN 63372 798 5 is be VBZ 63372 798 6 opened open VBN 63372 798 7 to to IN 63372 798 8 our -PRON- PRP$ 63372 798 9 perceptions perception NNS 63372 798 10 , , , 63372 798 11 we -PRON- PRP 63372 798 12 find find VBP 63372 798 13 facts fact NNS 63372 798 14 that that IN 63372 798 15 we -PRON- PRP 63372 798 16 never never RB 63372 798 17 could could MD 63372 798 18 have have VB 63372 798 19 suspected suspect VBN 63372 798 20 from from IN 63372 798 21 the the DT 63372 798 22 restricted restricted JJ 63372 798 23 viewpoint viewpoint NN 63372 798 24 . . . 63372 799 1 We -PRON- PRP 63372 799 2 must must MD 63372 799 3 then then RB 63372 799 4 actually actually RB 63372 799 5 alter alter VB 63372 799 6 our -PRON- PRP$ 63372 799 7 concepts concept NNS 63372 799 8 to to TO 63372 799 9 make make VB 63372 799 10 the the DT 63372 799 11 new new JJ 63372 799 12 facts fact NNS 63372 799 13 fit fit VBP 63372 799 14 in in RP 63372 799 15 with with IN 63372 799 16 the the DT 63372 799 17 greatest great JJS 63372 799 18 degree degree NN 63372 799 19 of of IN 63372 799 20 harmony harmony NN 63372 799 21 . . . 63372 800 1 And and CC 63372 800 2 we -PRON- PRP 63372 800 3 must must MD 63372 800 4 not not RB 63372 800 5 hesitate hesitate VB 63372 800 6 to to TO 63372 800 7 undertake undertake VB 63372 800 8 this this DT 63372 800 9 alteration alteration NN 63372 800 10 , , , 63372 800 11 through through IN 63372 800 12 any any DT 63372 800 13 feeling feeling NN 63372 800 14 that that IN 63372 800 15 fundamental fundamental JJ 63372 800 16 concepts concept NNS 63372 800 17 are be VBP 63372 800 18 more more RBR 63372 800 19 sacred sacred JJ 63372 800 20 and and CC 63372 800 21 less less RBR 63372 800 22 freely freely RB 63372 800 23 to to TO 63372 800 24 be be VB 63372 800 25 tampered tamper VBN 63372 800 26 with with IN 63372 800 27 than than IN 63372 800 28 derived derive VBN 63372 800 29 facts fact NNS 63372 800 30 . . . 63372 801 1 ] ] -RRB- 63372 801 2 * * NFP 63372 801 3 [ [ -LRB- 63372 801 4 We -PRON- PRP 63372 801 5 do do VBP 63372 801 6 , , , 63372 801 7 to to TO 63372 801 8 be be VB 63372 801 9 sure sure JJ 63372 801 10 , , , 63372 801 11 want want VBP 63372 801 12 fundamental fundamental JJ 63372 801 13 concepts concept NNS 63372 801 14 that that WDT 63372 801 15 are be VBP 63372 801 16 easy easy JJ 63372 801 17 for for IN 63372 801 18 a a DT 63372 801 19 human human JJ 63372 801 20 mind mind NN 63372 801 21 to to TO 63372 801 22 conceive conceive VB 63372 801 23 ; ; : 63372 801 24 but but CC 63372 801 25 we -PRON- PRP 63372 801 26 also also RB 63372 801 27 want want VBP 63372 801 28 our -PRON- PRP$ 63372 801 29 laws law NNS 63372 801 30 of of IN 63372 801 31 nature nature NN 63372 801 32 to to TO 63372 801 33 be be VB 63372 801 34 simple simple JJ 63372 801 35 . . . 63372 802 1 If if IN 63372 802 2 the the DT 63372 802 3 laws law NNS 63372 802 4 begin begin VBP 63372 802 5 to to TO 63372 802 6 become become VB 63372 802 7 , , , 63372 802 8 intricate intricate JJ 63372 802 9 , , , 63372 802 10 why why WRB 63372 802 11 not not RB 63372 802 12 reshape reshape VB 63372 802 13 , , , 63372 802 14 somewhat somewhat RB 63372 802 15 , , , 63372 802 16 the the DT 63372 802 17 fundamental fundamental JJ 63372 802 18 concepts concept NNS 63372 802 19 , , , 63372 802 20 in in IN 63372 802 21 order order NN 63372 802 22 to to TO 63372 802 23 simplify simplify VB 63372 802 24 the the DT 63372 802 25 scientific scientific JJ 63372 802 26 laws law NNS 63372 802 27 ? ? . 63372 803 1 Ultimately ultimately RB 63372 803 2 it -PRON- PRP 63372 803 3 is be VBZ 63372 803 4 the the DT 63372 803 5 simplicity simplicity NN 63372 803 6 of of IN 63372 803 7 the the DT 63372 803 8 scientific scientific JJ 63372 803 9 system system NN 63372 803 10 as as IN 63372 803 11 a a DT 63372 803 12 whole whole NN 63372 803 13 that that WDT 63372 803 14 is be VBZ 63372 803 15 our -PRON- PRP$ 63372 803 16 principal principal JJ 63372 803 17 aim aim NN 63372 803 18 . . . 63372 804 1 ] ] -RRB- 63372 804 2 178 178 CD 63372 804 3 [ [ -LRB- 63372 804 4 As as IN 63372 804 5 a a DT 63372 804 6 fair fair JJ 63372 804 7 example example NN 63372 804 8 , , , 63372 804 9 see see VB 63372 804 10 what what WP 63372 804 11 the the DT 63372 804 12 acceptance acceptance NN 63372 804 13 of of IN 63372 804 14 the the DT 63372 804 15 earth earth NN 63372 804 16 's 's POS 63372 804 17 sphericity sphericity NN 63372 804 18 did do VBD 63372 804 19 to to IN 63372 804 20 the the DT 63372 804 21 idea idea NN 63372 804 22 represented represent VBN 63372 804 23 by by IN 63372 804 24 the the DT 63372 804 25 word word NN 63372 804 26 " " `` 63372 804 27 down down RP 63372 804 28 . . . 63372 804 29 " " '' 63372 805 1 With with IN 63372 805 2 a a DT 63372 805 3 flat flat JJ 63372 805 4 earth earth NN 63372 805 5 , , , 63372 805 6 " " '' 63372 805 7 down down RB 63372 805 8 " " '' 63372 805 9 is be VBZ 63372 805 10 a a DT 63372 805 11 single single JJ 63372 805 12 direction direction NN 63372 805 13 , , , 63372 805 14 the the DT 63372 805 15 same same JJ 63372 805 16 throughout throughout IN 63372 805 17 the the DT 63372 805 18 universe universe NN 63372 805 19 ; ; , 63372 805 20 with with IN 63372 805 21 a a DT 63372 805 22 round round JJ 63372 805 23 earth earth NN 63372 805 24 , , , 63372 805 25 " " '' 63372 805 26 down down RB 63372 805 27 " " '' 63372 805 28 becomes become VBZ 63372 805 29 merely merely RB 63372 805 30 the the DT 63372 805 31 direction direction NN 63372 805 32 leading lead VBG 63372 805 33 toward toward IN 63372 805 34 the the DT 63372 805 35 center center NN 63372 805 36 of of IN 63372 805 37 the the DT 63372 805 38 particular particular JJ 63372 805 39 heavenly heavenly JJ 63372 805 40 body body NN 63372 805 41 on on IN 63372 805 42 which which WDT 63372 805 43 we -PRON- PRP 63372 805 44 happen happen VBP 63372 805 45 to to TO 63372 805 46 be be VB 63372 805 47 located locate VBN 63372 805 48 . . . 63372 806 1 It -PRON- PRP 63372 806 2 is be VBZ 63372 806 3 so so RB 63372 806 4 with with IN 63372 806 5 every every DT 63372 806 6 concept concept NN 63372 806 7 we -PRON- PRP 63372 806 8 have have VBP 63372 806 9 . . . 63372 807 1 No no RB 63372 807 2 matter matter RB 63372 807 3 how how WRB 63372 807 4 intrinsic intrinsic JJ 63372 807 5 a a DT 63372 807 6 part part NN 63372 807 7 of of IN 63372 807 8 nature nature NN 63372 807 9 and and CC 63372 807 10 of of IN 63372 807 11 our -PRON- PRP$ 63372 807 12 being be VBG 63372 807 13 a a DT 63372 807 14 certain certain JJ 63372 807 15 notion notion NN 63372 807 16 may may MD 63372 807 17 seem seem VB 63372 807 18 , , , 63372 807 19 we -PRON- PRP 63372 807 20 can can MD 63372 807 21 never never RB 63372 807 22 know know VB 63372 807 23 that that IN 63372 807 24 new new JJ 63372 807 25 facts fact NNS 63372 807 26 will will MD 63372 807 27 not not RB 63372 807 28 develop develop VB 63372 807 29 which which WDT 63372 807 30 will will MD 63372 807 31 show show VB 63372 807 32 it -PRON- PRP 63372 807 33 to to TO 63372 807 34 be be VB 63372 807 35 a a DT 63372 807 36 mistaken mistaken JJ 63372 807 37 one one NN 63372 807 38 . . . 63372 808 1 Today today NN 63372 808 2 we -PRON- PRP 63372 808 3 are be VBP 63372 808 4 merely merely RB 63372 808 5 confronted confront VBN 63372 808 6 by by IN 63372 808 7 a a DT 63372 808 8 gigantic gigantic JJ 63372 808 9 example example NN 63372 808 10 of of IN 63372 808 11 this this DT 63372 808 12 sort sort NN 63372 808 13 of of IN 63372 808 14 thing thing NN 63372 808 15 . . . 63372 809 1 Einstein Einstein NNP 63372 809 2 tells tell VBZ 63372 809 3 us -PRON- PRP 63372 809 4 that that IN 63372 809 5 when when WRB 63372 809 6 velocities velocity NNS 63372 809 7 are be VBP 63372 809 8 attained attain VBN 63372 809 9 which which WDT 63372 809 10 have have VBP 63372 809 11 just just RB 63372 809 12 now now RB 63372 809 13 come come VB 63372 809 14 within within IN 63372 809 15 the the DT 63372 809 16 range range NN 63372 809 17 of of IN 63372 809 18 our -PRON- PRP$ 63372 809 19 close close JJ 63372 809 20 investigation investigation NN 63372 809 21 , , , 63372 809 22 extraordinary extraordinary JJ 63372 809 23 things thing NNS 63372 809 24 happen happen VB 63372 809 25 -- -- : 63372 809 26 things thing NNS 63372 809 27 quite quite RB 63372 809 28 irreconcilable irreconcilable JJ 63372 809 29 with with IN 63372 809 30 our -PRON- PRP$ 63372 809 31 present present JJ 63372 809 32 concepts concept NNS 63372 809 33 of of IN 63372 809 34 time time NN 63372 809 35 and and CC 63372 809 36 space space NN 63372 809 37 and and CC 63372 809 38 mass mass NN 63372 809 39 and and CC 63372 809 40 dimension dimension NN 63372 809 41 . . . 63372 810 1 We -PRON- PRP 63372 810 2 are be VBP 63372 810 3 tempted tempt VBN 63372 810 4 to to TO 63372 810 5 laugh laugh VB 63372 810 6 at at IN 63372 810 7 him -PRON- PRP 63372 810 8 , , , 63372 810 9 to to TO 63372 810 10 tell tell VB 63372 810 11 him -PRON- PRP 63372 810 12 that that IN 63372 810 13 the the DT 63372 810 14 phenomena phenomenon NNS 63372 810 15 he -PRON- PRP 63372 810 16 suggests suggest VBZ 63372 810 17 are be VBP 63372 810 18 absurd absurd JJ 63372 810 19 because because IN 63372 810 20 they -PRON- PRP 63372 810 21 contradict contradict VBP 63372 810 22 these these DT 63372 810 23 concepts concept NNS 63372 810 24 . . . 63372 811 1 Nothing nothing NN 63372 811 2 could could MD 63372 811 3 be be VB 63372 811 4 more more RBR 63372 811 5 rash rash JJ 63372 811 6 than than IN 63372 811 7 this this DT 63372 811 8 . . . 63372 812 1 When when WRB 63372 812 2 we -PRON- PRP 63372 812 3 consider consider VBP 63372 812 4 the the DT 63372 812 5 results result NNS 63372 812 6 which which WDT 63372 812 7 follow follow VBP 63372 812 8 from from IN 63372 812 9 physical physical JJ 63372 812 10 velocities velocity NNS 63372 812 11 comparable comparable JJ 63372 812 12 with with IN 63372 812 13 that that DT 63372 812 14 of of IN 63372 812 15 light light NN 63372 812 16 , , , 63372 812 17 we -PRON- PRP 63372 812 18 must must MD 63372 812 19 confess confess VB 63372 812 20 that that IN 63372 812 21 here here RB 63372 812 22 are be VBP 63372 812 23 conditions condition NNS 63372 812 24 which which WDT 63372 812 25 have have VBP 63372 812 26 never never RB 63372 812 27 before before RB 63372 812 28 been be VBN 63372 812 29 carefully carefully RB 63372 812 30 investigated investigate VBN 63372 812 31 . . . 63372 813 1 We -PRON- PRP 63372 813 2 must must MD 63372 813 3 be be VB 63372 813 4 quite quite RB 63372 813 5 as as RB 63372 813 6 well well RB 63372 813 7 prepared prepared JJ 63372 813 8 to to TO 63372 813 9 have have VB 63372 813 10 these these DT 63372 813 11 conditions condition NNS 63372 813 12 reveal reveal VB 63372 813 13 some some DT 63372 813 14 epoch epoch NN 63372 813 15 - - HYPH 63372 813 16 making make VBG 63372 813 17 fact fact NN 63372 813 18 as as IN 63372 813 19 was be VBD 63372 813 20 Galileo Galileo NNP 63372 813 21 when when WRB 63372 813 22 he -PRON- PRP 63372 813 23 turned turn VBD 63372 813 24 the the DT 63372 813 25 first first JJ 63372 813 26 telescope telescope NN 63372 813 27 upon upon IN 63372 813 28 the the DT 63372 813 29 skies sky NNS 63372 813 30 . . . 63372 814 1 And and CC 63372 814 2 if if IN 63372 814 3 this this DT 63372 814 4 fact fact NN 63372 814 5 requires require VBZ 63372 814 6 that that IN 63372 814 7 we -PRON- PRP 63372 814 8 discard discard VBP 63372 814 9 present present JJ 63372 814 10 ideas idea NNS 63372 814 11 of of IN 63372 814 12 time time NN 63372 814 13 and and CC 63372 814 14 space space NN 63372 814 15 and and CC 63372 814 16 mass mass NN 63372 814 17 and and CC 63372 814 18 dimension dimension NN 63372 814 19 , , , 63372 814 20 we -PRON- PRP 63372 814 21 must must MD 63372 814 22 be be VB 63372 814 23 prepared prepared JJ 63372 814 24 to to TO 63372 814 25 do do VB 63372 814 26 so so RB 63372 814 27 quite quite RB 63372 814 28 as as RB 63372 814 29 thoroughly thoroughly RB 63372 814 30 as as IN 63372 814 31 our -PRON- PRP$ 63372 814 32 medieval medieval JJ 63372 814 33 fathers father NNS 63372 814 34 had have VBD 63372 814 35 to to TO 63372 814 36 discard discard VB 63372 814 37 their -PRON- PRP$ 63372 814 38 notions notion NNS 63372 814 39 of of IN 63372 814 40 celestial celestial JJ 63372 814 41 " " `` 63372 814 42 perfection perfection NN 63372 814 43 " " '' 63372 814 44 which which WDT 63372 814 45 demanded demand VBD 63372 814 46 that that IN 63372 814 47 there there EX 63372 814 48 be be VB 63372 814 49 but but CC 63372 814 50 seven seven CD 63372 814 51 major major JJ 63372 814 52 heavenly heavenly JJ 63372 814 53 bodies body NNS 63372 814 54 and and CC 63372 814 55 that that IN 63372 814 56 everything everything NN 63372 814 57 center center NN 63372 814 58 about about IN 63372 814 59 the the DT 63372 814 60 earth earth NN 63372 814 61 as as IN 63372 814 62 a a DT 63372 814 63 common common JJ 63372 814 64 universal universal JJ 63372 814 65 hub hub NN 63372 814 66 . . . 63372 815 1 We -PRON- PRP 63372 815 2 must must MD 63372 815 3 be be VB 63372 815 4 prepared prepared JJ 63372 815 5 to to TO 63372 815 6 revise revise VB 63372 815 7 our -PRON- PRP$ 63372 815 8 concepts concept NNS 63372 815 9 of of IN 63372 815 10 these these DT 63372 815 11 or or CC 63372 815 12 any any DT 63372 815 13 other other JJ 63372 815 14 fundamentals fundamental NNS 63372 815 15 quite quite RB 63372 815 16 as as RB 63372 815 17 severely severely RB 63372 815 18 as as IN 63372 815 19 did do VBD 63372 815 20 the the DT 63372 815 21 first first JJ 63372 815 22 philosopher philosopher NN 63372 815 23 who who WP 63372 815 24 realized realize VBD 63372 815 25 that that IN 63372 815 26 " " `` 63372 815 27 down down RB 63372 815 28 " " '' 63372 815 29 in in IN 63372 815 30 London London NNP 63372 815 31 was be VBD 63372 815 32 not not RB 63372 815 33 parallel parallel JJ 63372 815 34 to to TO 63372 815 35 " " `` 63372 815 36 down down RB 63372 815 37 " " '' 63372 815 38 in in IN 63372 815 39 Bagdad Bagdad NNP 63372 815 40 or or CC 63372 815 41 on on IN 63372 815 42 Mars Mars NNP 63372 815 43 . . . 63372 816 1 ] ] -RRB- 63372 816 2 * * NFP 63372 816 3 [ [ -LRB- 63372 816 4 In in IN 63372 816 5 all all DT 63372 816 6 ordinary ordinary JJ 63372 816 7 terrestrial terrestrial JJ 63372 816 8 matters matter NNS 63372 816 9 we -PRON- PRP 63372 816 10 take take VBP 63372 816 11 the the DT 63372 816 12 earth earth NN 63372 816 13 as as IN 63372 816 14 a a DT 63372 816 15 fixed fix VBN 63372 816 16 body body NN 63372 816 17 , , , 63372 816 18 light light NN 63372 816 19 as as RB 63372 816 20 instantaneous instantaneous JJ 63372 816 21 . . . 63372 817 1 This this DT 63372 817 2 is be VBZ 63372 817 3 perfectly perfectly RB 63372 817 4 proper proper JJ 63372 817 5 , , , 63372 817 6 for for IN 63372 817 7 such such JJ 63372 817 8 matters matter NNS 63372 817 9 . . . 63372 818 1 But but CC 63372 818 2 we -PRON- PRP 63372 818 3 carry carry VBP 63372 818 4 our -PRON- PRP$ 63372 818 5 earth earth NN 63372 818 6 - - HYPH 63372 818 7 acquired acquire VBN 63372 818 8 habits habit NNS 63372 818 9 with with IN 63372 818 10 us -PRON- PRP 63372 818 11 into into IN 63372 818 12 the the DT 63372 818 13 celestial celestial JJ 63372 818 14 regions region NNS 63372 818 15 . . . 63372 819 1 Though though IN 63372 819 2 we -PRON- PRP 63372 819 3 have have VBP 63372 819 4 no no RB 63372 819 5 longer long RBR 63372 819 6 the the DT 63372 819 7 earth earth NN 63372 819 8 to to TO 63372 819 9 stand stand VB 63372 819 10 on on RP 63372 819 11 , , , 63372 819 12 yet yet CC 63372 819 13 we -PRON- PRP 63372 819 14 assume assume VBP 63372 819 15 , , , 63372 819 16 as as IN 63372 819 17 on on IN 63372 819 18 the the DT 63372 819 19 earth earth NN 63372 819 20 , , , 63372 819 21 that that IN 63372 819 22 all all DT 63372 819 23 measurements measurement NNS 63372 819 24 and and CC 63372 819 25 movements movement NNS 63372 819 26 must must MD 63372 819 27 be be VB 63372 819 28 referred refer VBN 63372 819 29 to to IN 63372 819 30 some some DT 63372 819 31 fixed fix VBN 63372 819 32 body body NN 63372 819 33 , , , 63372 819 34 and and CC 63372 819 35 are be VBP 63372 819 36 only only RB 63372 819 37 then then RB 63372 819 38 valid valid JJ 63372 819 39 . . . 63372 820 1 We -PRON- PRP 63372 820 2 cling cling VBP 63372 820 3 to to IN 63372 820 4 our -PRON- PRP$ 63372 820 5 earth earth NN 63372 820 6 - - HYPH 63372 820 7 bound bind VBN 63372 820 8 notion notion NN 63372 820 9 that that IN 63372 820 10 there there EX 63372 820 11 is be VBZ 63372 820 12 an an DT 63372 820 13 absolute absolute JJ 63372 820 14 up up NN 63372 820 15 - - HYPH 63372 820 16 and and CC 63372 820 17 - - HYPH 63372 820 18 down down NN 63372 820 19 , , , 63372 820 20 back back JJ 63372 820 21 - - HYPH 63372 820 22 and and CC 63372 820 23 - - HYPH 63372 820 24 forth forth NN 63372 820 25 , , , 63372 820 26 right right JJ 63372 820 27 - - HYPH 63372 820 28 and and CC 63372 820 29 - - HYPH 63372 820 30 left leave VBN 63372 820 31 , , , 63372 820 32 in in IN 63372 820 33 space space NN 63372 820 34 . . . 63372 821 1 We -PRON- PRP 63372 821 2 may may MD 63372 821 3 admit admit VB 63372 821 4 that that IN 63372 821 5 we -PRON- PRP 63372 821 6 can can MD 63372 821 7 never never RB 63372 821 8 find find VB 63372 821 9 it -PRON- PRP 63372 821 10 , , , 63372 821 11 but but CC 63372 821 12 we -PRON- PRP 63372 821 13 still still RB 63372 821 14 think think VBP 63372 821 15 it -PRON- PRP 63372 821 16 is be VBZ 63372 821 17 there there RB 63372 821 18 , , , 63372 821 19 and and CC 63372 821 20 seek seek VB 63372 821 21 to to TO 63372 821 22 approach approach VB 63372 821 23 it -PRON- PRP 63372 821 24 as as RB 63372 821 25 nearly nearly RB 63372 821 26 as as IN 63372 821 27 possible possible JJ 63372 821 28 . . . 63372 822 1 And and CC 63372 822 2 similarly similarly RB 63372 822 3 from from IN 63372 822 4 our -PRON- PRP$ 63372 822 5 earth earth NN 63372 822 6 experiences experience NNS 63372 822 7 , , , 63372 822 8 which which WDT 63372 822 9 are be VBP 63372 822 10 sufficiently sufficiently RB 63372 822 11 in in IN 63372 822 12 a a DT 63372 822 13 single single JJ 63372 822 14 place place NN 63372 822 15 to to TO 63372 822 16 make make VB 63372 822 17 possible possible JJ 63372 822 18 this this DT 63372 822 19 simplifying simplify VBG 63372 822 20 assumption assumption NN 63372 822 21 , , , 63372 822 22 we -PRON- PRP 63372 822 23 get get VBP 63372 822 24 the the DT 63372 822 25 idea idea NN 63372 822 26 that that IN 63372 822 27 there there EX 63372 822 28 is be VBZ 63372 822 29 one one CD 63372 822 30 universal universal JJ 63372 822 31 time time NN 63372 822 32 , , , 63372 822 33 applicable applicable JJ 63372 822 34 at at IN 63372 822 35 once once RB 63372 822 36 to to IN 63372 822 37 the the DT 63372 822 38 entire entire JJ 63372 822 39 universe universe NN 63372 822 40 . . . 63372 823 1 ] ] -RRB- 63372 823 2 141 141 CD 63372 823 3 [ [ -LRB- 63372 823 4 The the DT 63372 823 5 difficulty difficulty NN 63372 823 6 in in IN 63372 823 7 accepting accept VBG 63372 823 8 Einstein Einstein NNP 63372 823 9 is be VBZ 63372 823 10 entirely entirely RB 63372 823 11 the the DT 63372 823 12 difficulty difficulty NN 63372 823 13 in in IN 63372 823 14 getting get VBG 63372 823 15 away away RB 63372 823 16 from from IN 63372 823 17 these these DT 63372 823 18 earth earth NN 63372 823 19 - - HYPH 63372 823 20 bound bind VBN 63372 823 21 habits habit NNS 63372 823 22 of of IN 63372 823 23 thought thought NN 63372 823 24 . . . 63372 824 1 ] ] -RRB- 63372 824 2 * * NFP 63372 824 3 IV IV NNP 63372 824 4 THE the DT 63372 824 5 SPECIAL special NN 63372 824 6 THEORY theory NN 63372 824 7 OF of IN 63372 824 8 RELATIVITY RELATIVITY NNP 63372 824 9 What what WP 63372 824 10 Einstein Einstein NNP 63372 824 11 's 's POS 63372 824 12 Study Study NNP 63372 824 13 of of IN 63372 824 14 Uniform Uniform NNP 63372 824 15 Motion Motion NNP 63372 824 16 Tells tell VBZ 63372 824 17 Us -PRON- PRP 63372 824 18 About about IN 63372 824 19 Time Time NNP 63372 824 20 and and CC 63372 824 21 Space Space NNP 63372 824 22 and and CC 63372 824 23 the the DT 63372 824 24 Nature Nature NNP 63372 824 25 of of IN 63372 824 26 the the DT 63372 824 27 External External NNP 63372 824 28 Reality Reality NNP 63372 824 29 BY by IN 63372 824 30 VARIOUS VARIOUS NNP 63372 824 31 CONTRIBUTORS CONTRIBUTORS NNP 63372 824 32 AND and CC 63372 824 33 THE the DT 63372 824 34 EDITOR EDITOR NNP 63372 824 35 Whatever whatever WDT 63372 824 36 the the DT 63372 824 37 explanation explanation NN 63372 824 38 adopted adopt VBN 63372 824 39 for for IN 63372 824 40 the the DT 63372 824 41 negative negative JJ 63372 824 42 result result NN 63372 824 43 of of IN 63372 824 44 the the DT 63372 824 45 Michelson Michelson NNP 63372 824 46 - - HYPH 63372 824 47 Morley Morley NNP 63372 824 48 experiment experiment NN 63372 824 49 , , , 63372 824 50 one one CD 63372 824 51 thing thing NN 63372 824 52 stands stand VBZ 63372 824 53 out out RP 63372 824 54 clearly clearly RB 63372 824 55 : : : 63372 824 56 the the DT 63372 824 57 attempt attempt NN 63372 824 58 to to TO 63372 824 59 isolate isolate VB 63372 824 60 absolute absolute JJ 63372 824 61 motion motion NN 63372 824 62 has have VBZ 63372 824 63 again again RB 63372 824 64 failed fail VBN 63372 824 65 . . . 63372 825 1 ] ] -RRB- 63372 825 2 * * NFP 63372 825 3 [ [ -LRB- 63372 825 4 Einstein Einstein NNP 63372 825 5 generalizes generalize VBZ 63372 825 6 this this DT 63372 825 7 with with IN 63372 825 8 all all PDT 63372 825 9 the the DT 63372 825 10 other other JJ 63372 825 11 and and CC 63372 825 12 older old JJR 63372 825 13 negative negative JJ 63372 825 14 results result NNS 63372 825 15 of of IN 63372 825 16 similar similar JJ 63372 825 17 sort sort NN 63372 825 18 into into IN 63372 825 19 a a DT 63372 825 20 negative negative JJ 63372 825 21 deduction deduction NN 63372 825 22 to to IN 63372 825 23 the the DT 63372 825 24 effect effect NN 63372 825 25 that that WDT 63372 825 26 no no DT 63372 825 27 experiment experiment NN 63372 825 28 is be VBZ 63372 825 29 possible possible JJ 63372 825 30 upon upon IN 63372 825 31 two two CD 63372 825 32 systems system NNS 63372 825 33 which which WDT 63372 825 34 will will MD 63372 825 35 determine determine VB 63372 825 36 that that DT 63372 825 37 one one CD 63372 825 38 of of IN 63372 825 39 them -PRON- PRP 63372 825 40 is be VBZ 63372 825 41 in in IN 63372 825 42 motion motion NN 63372 825 43 and and CC 63372 825 44 the the DT 63372 825 45 other other JJ 63372 825 46 at at IN 63372 825 47 rest rest NN 63372 825 48 . . . 63372 826 1 ] ] -RRB- 63372 826 2 121 121 CD 63372 826 3 [ [ -LRB- 63372 826 4 He -PRON- PRP 63372 826 5 elevates elevate VBZ 63372 826 6 the the DT 63372 826 7 repeated repeat VBN 63372 826 8 failure failure NN 63372 826 9 to to TO 63372 826 10 detect detect VB 63372 826 11 absolute absolute JJ 63372 826 12 motion motion NN 63372 826 13 through through IN 63372 826 14 space space NN 63372 826 15 into into IN 63372 826 16 the the DT 63372 826 17 principle principle NN 63372 826 18 that that DT 63372 826 19 experiment experiment NN 63372 826 20 will will MD 63372 826 21 never never RB 63372 826 22 reveal reveal VB 63372 826 23 anything anything NN 63372 826 24 in in IN 63372 826 25 the the DT 63372 826 26 nature nature NN 63372 826 27 of of IN 63372 826 28 absolute absolute JJ 63372 826 29 velocities velocity NNS 63372 826 30 . . . 63372 827 1 He -PRON- PRP 63372 827 2 postulates postulate VBZ 63372 827 3 that that IN 63372 827 4 all all DT 63372 827 5 laws law NNS 63372 827 6 of of IN 63372 827 7 nature nature NN 63372 827 8 can can MD 63372 827 9 and and CC 63372 827 10 should should MD 63372 827 11 be be VB 63372 827 12 enunciated enunciate VBN 63372 827 13 in in IN 63372 827 14 such such JJ 63372 827 15 forms form NNS 63372 827 16 that that IN 63372 827 17 they -PRON- PRP 63372 827 18 are be VBP 63372 827 19 as as RB 63372 827 20 true true JJ 63372 827 21 in in IN 63372 827 22 these these DT 63372 827 23 forms form NNS 63372 827 24 for for IN 63372 827 25 one one CD 63372 827 26 observer observer NN 63372 827 27 as as IN 63372 827 28 for for IN 63372 827 29 another another DT 63372 827 30 , , , 63372 827 31 even even RB 63372 827 32 though though IN 63372 827 33 these these DT 63372 827 34 observers observer NNS 63372 827 35 with with IN 63372 827 36 their -PRON- PRP$ 63372 827 37 frames frame NNS 63372 827 38 of of IN 63372 827 39 reference reference NN 63372 827 40 be be VBP 63372 827 41 in in IN 63372 827 42 motion motion NN 63372 827 43 relative relative JJ 63372 827 44 to to IN 63372 827 45 one one CD 63372 827 46 another another DT 63372 827 47 . . . 63372 828 1 ] ] -RRB- 63372 828 2 264 264 CD 63372 828 3 [ [ -LRB- 63372 828 4 There there EX 63372 828 5 are be VBP 63372 828 6 various various JJ 63372 828 7 ways way NNS 63372 828 8 of of IN 63372 828 9 stating state VBG 63372 828 10 the the DT 63372 828 11 principle principle NN 63372 828 12 of of IN 63372 828 13 the the DT 63372 828 14 relativity relativity NN 63372 828 15 of of IN 63372 828 16 uniform uniform JJ 63372 828 17 motion motion NN 63372 828 18 which which WDT 63372 828 19 has have VBZ 63372 828 20 been be VBN 63372 828 21 thus thus RB 63372 828 22 arrived arrive VBN 63372 828 23 at at IN 63372 828 24 , , , 63372 828 25 and and CC 63372 828 26 which which WDT 63372 828 27 forms form VBZ 63372 828 28 the the DT 63372 828 29 basis basis NN 63372 828 30 of of IN 63372 828 31 the the DT 63372 828 32 Special Special NNP 63372 828 33 Theory Theory NNP 63372 828 34 of of IN 63372 828 35 Einstein Einstein NNP 63372 828 36 . . . 63372 829 1 If if IN 63372 829 2 we -PRON- PRP 63372 829 3 care care VBP 63372 829 4 to to TO 63372 829 5 emphasize emphasize VB 63372 829 6 the the DT 63372 829 7 rôle rôle NNP 63372 829 8 of of IN 63372 829 9 mathematics mathematic NNS 63372 829 10 and and CC 63372 829 11 the the DT 63372 829 12 reference reference NN 63372 829 13 frame frame NN 63372 829 14 we -PRON- PRP 63372 829 15 may may MD 63372 829 16 say say VB 63372 829 17 that that IN 63372 829 18 ] ] -RRB- 63372 829 19 * * NFP 63372 829 20 [ [ -LRB- 63372 829 21 any any DT 63372 829 22 coordinate coordinate JJ 63372 829 23 system system NN 63372 829 24 having have VBG 63372 829 25 a a DT 63372 829 26 uniform uniform JJ 63372 829 27 rectilinear rectilinear NN 63372 829 28 motion motion NN 63372 829 29 with with IN 63372 829 30 respect respect NN 63372 829 31 to to IN 63372 829 32 the the DT 63372 829 33 bodies body NNS 63372 829 34 under under IN 63372 829 35 observation observation NN 63372 829 36 may may MD 63372 829 37 be be VB 63372 829 38 interchangeably interchangeably RB 63372 829 39 used use VBN 63372 829 40 with with IN 63372 829 41 any any DT 63372 829 42 other other JJ 63372 829 43 such such JJ 63372 829 44 system system NN 63372 829 45 in in IN 63372 829 46 describing describe VBG 63372 829 47 their -PRON- PRP$ 63372 829 48 motions;]232 motions;]232 NNP 63372 829 49 [ [ -LRB- 63372 829 50 or or CC 63372 829 51 that that IN 63372 829 52 the the DT 63372 829 53 unaccelerated unaccelerated JJ 63372 829 54 motion motion NN 63372 829 55 of of IN 63372 829 56 a a DT 63372 829 57 system system NN 63372 829 58 of of IN 63372 829 59 reference reference NN 63372 829 60 can can MD 63372 829 61 not not RB 63372 829 62 be be VB 63372 829 63 detected detect VBN 63372 829 64 by by IN 63372 829 65 observations observation NNS 63372 829 66 made make VBN 63372 829 67 on on IN 63372 829 68 this this DT 63372 829 69 system system NN 63372 829 70 alone alone RB 63372 829 71 . . . 63372 830 1 ] ] -RRB- 63372 830 2 194 194 CD 63372 830 3 [ [ -LRB- 63372 830 4 Or or CC 63372 830 5 we -PRON- PRP 63372 830 6 can can MD 63372 830 7 let let VB 63372 830 8 this this DT 63372 830 9 aspect aspect NN 63372 830 10 of of IN 63372 830 11 the the DT 63372 830 12 matter matter NN 63372 830 13 go go VB 63372 830 14 , , , 63372 830 15 and and CC 63372 830 16 state state VB 63372 830 17 the the DT 63372 830 18 relativity relativity NN 63372 830 19 postulate postulate NN 63372 830 20 in in IN 63372 830 21 a a DT 63372 830 22 form form NN 63372 830 23 more more RBR 63372 830 24 intelligible intelligible JJ 63372 830 25 to to IN 63372 830 26 the the DT 63372 830 27 non non JJ 63372 830 28 - - JJ 63372 830 29 mathematician mathematician JJ 63372 830 30 by by IN 63372 830 31 simply simply RB 63372 830 32 insisting insist VBG 63372 830 33 that that IN 63372 830 34 it -PRON- PRP 63372 830 35 is be VBZ 63372 830 36 impossible impossible JJ 63372 830 37 by by IN 63372 830 38 any any DT 63372 830 39 means mean NNS 63372 830 40 whatever whatever WDT 63372 830 41 to to TO 63372 830 42 distinguish distinguish VB 63372 830 43 any any DT 63372 830 44 other other JJ 63372 830 45 than than IN 63372 830 46 the the DT 63372 830 47 relative relative JJ 63372 830 48 motion motion NN 63372 830 49 between between IN 63372 830 50 two two CD 63372 830 51 systems system NNS 63372 830 52 that that WDT 63372 830 53 are be VBP 63372 830 54 moving move VBG 63372 830 55 uniformly uniformly RB 63372 830 56 . . . 63372 831 1 As as IN 63372 831 2 Dr. Dr. NNP 63372 831 3 Russell Russell NNP 63372 831 4 puts put VBZ 63372 831 5 it -PRON- PRP 63372 831 6 on on IN 63372 831 7 a a DT 63372 831 8 later later JJ 63372 831 9 page page NN 63372 831 10 , , , 63372 831 11 we -PRON- PRP 63372 831 12 can can MD 63372 831 13 assume assume VB 63372 831 14 boldly boldly RB 63372 831 15 that that IN 63372 831 16 the the DT 63372 831 17 universe universe NN 63372 831 18 is be VBZ 63372 831 19 so so RB 63372 831 20 constituted constituted JJ 63372 831 21 that that DT 63372 831 22 uniform uniform JJ 63372 831 23 straight straight RB 63372 831 24 - - HYPH 63372 831 25 ahead ahead NN 63372 831 26 motion motion NN 63372 831 27 of of IN 63372 831 28 an an DT 63372 831 29 observer observer NN 63372 831 30 and and CC 63372 831 31 all all PDT 63372 831 32 his -PRON- PRP$ 63372 831 33 apparatus apparatus NN 63372 831 34 will will MD 63372 831 35 not not RB 63372 831 36 produce produce VB 63372 831 37 any any DT 63372 831 38 difference difference NN 63372 831 39 whatever whatever WDT 63372 831 40 in in IN 63372 831 41 the the DT 63372 831 42 result result NN 63372 831 43 of of IN 63372 831 44 any any DT 63372 831 45 physical physical JJ 63372 831 46 process process NN 63372 831 47 or or CC 63372 831 48 experiment experiment NN 63372 831 49 of of IN 63372 831 50 any any DT 63372 831 51 kind kind NN 63372 831 52 . . . 63372 832 1 As as IN 63372 832 2 we -PRON- PRP 63372 832 3 have have VBP 63372 832 4 seen see VBN 63372 832 5 , , , 63372 832 6 this this DT 63372 832 7 is be VBZ 63372 832 8 entirely entirely RB 63372 832 9 reasonable reasonable JJ 63372 832 10 , , , 63372 832 11 on on IN 63372 832 12 philosophical philosophical JJ 63372 832 13 grounds ground NNS 63372 832 14 , , , 63372 832 15 until until IN 63372 832 16 we -PRON- PRP 63372 832 17 come come VBP 63372 832 18 to to TO 63372 832 19 consider consider VB 63372 832 20 the the DT 63372 832 21 assumptions assumption NNS 63372 832 22 of of IN 63372 832 23 the the DT 63372 832 24 past past JJ 63372 832 25 century century NN 63372 832 26 with with IN 63372 832 27 regard regard NN 63372 832 28 to to IN 63372 832 29 light light NN 63372 832 30 and and CC 63372 832 31 its -PRON- PRP$ 63372 832 32 propagation propagation NN 63372 832 33 . . . 63372 833 1 On on IN 63372 833 2 the the DT 63372 833 3 basis basis NN 63372 833 4 of of IN 63372 833 5 these these DT 63372 833 6 assumptions assumption NNS 63372 833 7 we -PRON- PRP 63372 833 8 had have VBD 63372 833 9 expected expect VBN 63372 833 10 the the DT 63372 833 11 Michelson Michelson NNP 63372 833 12 - - HYPH 63372 833 13 Morley Morley NNP 63372 833 14 experiment experiment NN 63372 833 15 to to TO 63372 833 16 produce produce VB 63372 833 17 a a DT 63372 833 18 result result NN 63372 833 19 negativing negative VBG 63372 833 20 the the DT 63372 833 21 notion notion NN 63372 833 22 of of IN 63372 833 23 universal universal JJ 63372 833 24 relativity relativity NN 63372 833 25 . . . 63372 834 1 It -PRON- PRP 63372 834 2 refused refuse VBD 63372 834 3 to to TO 63372 834 4 do do VB 63372 834 5 this this DT 63372 834 6 , , , 63372 834 7 and and CC 63372 834 8 we -PRON- PRP 63372 834 9 agree agree VBP 63372 834 10 with with IN 63372 834 11 Einstein Einstein NNP 63372 834 12 that that IN 63372 834 13 the the DT 63372 834 14 best good JJS 63372 834 15 explanation explanation NN 63372 834 16 is be VBZ 63372 834 17 to to TO 63372 834 18 return return VB 63372 834 19 to to IN 63372 834 20 the the DT 63372 834 21 notion notion NN 63372 834 22 of of IN 63372 834 23 relativity relativity NN 63372 834 24 , , , 63372 834 25 rather rather RB 63372 834 26 than than IN 63372 834 27 to to TO 63372 834 28 invent invent VB 63372 834 29 a a DT 63372 834 30 forced forced JJ 63372 834 31 and and CC 63372 834 32 special special JJ 63372 834 33 hypothesis hypothesis NN 63372 834 34 to to TO 63372 834 35 account account VB 63372 834 36 for for IN 63372 834 37 the the DT 63372 834 38 experiment experiment NN 63372 834 39 's 's POS 63372 834 40 failure failure NN 63372 834 41 . . . 63372 835 1 But but CC 63372 835 2 we -PRON- PRP 63372 835 3 must must MD 63372 835 4 now now RB 63372 835 5 investigate investigate VB 63372 835 6 the the DT 63372 835 7 assumptions assumption NNS 63372 835 8 underlying underlie VBG 63372 835 9 the the DT 63372 835 10 theory theory NN 63372 835 11 of of IN 63372 835 12 light light NN 63372 835 13 , , , 63372 835 14 and and CC 63372 835 15 remove remove VB 63372 835 16 the the DT 63372 835 17 one one NN 63372 835 18 that that WDT 63372 835 19 requires require VBZ 63372 835 20 the the DT 63372 835 21 ether ether NN 63372 835 22 to to TO 63372 835 23 serve serve VB 63372 835 24 as as IN 63372 835 25 a a DT 63372 835 26 universal universal JJ 63372 835 27 standard standard NN 63372 835 28 of of IN 63372 835 29 absolute absolute JJ 63372 835 30 motion motion NN 63372 835 31 . . . 63372 836 1 LIGHT LIGHT NNP 63372 836 2 AND and CC 63372 836 3 THE the DT 63372 836 4 ETHER ETHER NNS 63372 836 5 It -PRON- PRP 63372 836 6 is be VBZ 63372 836 7 among among IN 63372 836 8 the the DT 63372 836 9 possibilities possibility NNS 63372 836 10 that that WDT 63372 836 11 the the DT 63372 836 12 wave wave NN 63372 836 13 theory theory NN 63372 836 14 of of IN 63372 836 15 light light NN 63372 836 16 itself -PRON- PRP 63372 836 17 will will MD 63372 836 18 in in IN 63372 836 19 the the DT 63372 836 20 end end NN 63372 836 21 be be VB 63372 836 22 more more RBR 63372 836 23 or or CC 63372 836 24 less less RBR 63372 836 25 seriously seriously RB 63372 836 26 modified modify VBN 63372 836 27 . . . 63372 837 1 It -PRON- PRP 63372 837 2 is be VBZ 63372 837 3 even even RB 63372 837 4 more more RBR 63372 837 5 definitely definitely RB 63372 837 6 among among IN 63372 837 7 the the DT 63372 837 8 possibilities possibility NNS 63372 837 9 that that WDT 63372 837 10 the the DT 63372 837 11 ether ether NN 63372 837 12 will will MD 63372 837 13 be be VB 63372 837 14 discarded discard VBN 63372 837 15 . . . 63372 838 1 ] ] -RRB- 63372 838 2 * * NFP 63372 838 3 [ [ -LRB- 63372 838 4 Certainly certainly RB 63372 838 5 when when WRB 63372 838 6 Lord Lord NNP 63372 838 7 Kelvin Kelvin NNP 63372 838 8 estimates estimate VBZ 63372 838 9 that that IN 63372 838 10 its -PRON- PRP$ 63372 838 11 mass mass NN 63372 838 12 per per IN 63372 838 13 cubic cubic JJ 63372 838 14 centimeter centimeter NN 63372 838 15 is be VBZ 63372 838 16 .000,000,000,000,000,001 .000,000,000,000,000,001 . 63372 838 17 gram gram NNP 63372 838 18 , , , 63372 838 19 while while IN 63372 838 20 Sir Sir NNP 63372 838 21 Oliver Oliver NNP 63372 838 22 Lodge Lodge NNP 63372 838 23 insists insist VBZ 63372 838 24 that that IN 63372 838 25 the the DT 63372 838 26 correct correct JJ 63372 838 27 figure figure NN 63372 838 28 is be VBZ 63372 838 29 1,000,000,000,000,000 1,000,000,000,000,000 CD 63372 838 30 grams gram NNS 63372 838 31 , , , 63372 838 32 it -PRON- PRP 63372 838 33 is be VBZ 63372 838 34 quite quite RB 63372 838 35 evident evident JJ 63372 838 36 that that IN 63372 838 37 we -PRON- PRP 63372 838 38 know know VBP 63372 838 39 so so RB 63372 838 40 little little JJ 63372 838 41 about about IN 63372 838 42 it -PRON- PRP 63372 838 43 that that IN 63372 838 44 it -PRON- PRP 63372 838 45 is be VBZ 63372 838 46 better well JJR 63372 838 47 to to TO 63372 838 48 get get VB 63372 838 49 along along RP 63372 838 50 without without IN 63372 838 51 it -PRON- PRP 63372 838 52 if if IN 63372 838 53 we -PRON- PRP 63372 838 54 can can MD 63372 838 55 . . . 63372 839 1 ] ] -RRB- 63372 839 2 216 216 CD 63372 839 3 [ [ -LRB- 63372 839 4 But but CC 63372 839 5 to to TO 63372 839 6 avoid avoid VB 63372 839 7 confusion confusion NN 63372 839 8 we -PRON- PRP 63372 839 9 must must MD 63372 839 10 emphasize emphasize VB 63372 839 11 that that IN 63372 839 12 Einstein Einstein NNP 63372 839 13 makes make VBZ 63372 839 14 no no DT 63372 839 15 mention mention NN 63372 839 16 whatsoever whatsoever RB 63372 839 17 of of IN 63372 839 18 the the DT 63372 839 19 ether ether NN 63372 839 20 ; ; : 63372 839 21 his -PRON- PRP$ 63372 839 22 theory theory NN 63372 839 23 is be VBZ 63372 839 24 absolutely absolutely RB 63372 839 25 independent independent JJ 63372 839 26 of of IN 63372 839 27 any any DT 63372 839 28 theory theory NN 63372 839 29 of of IN 63372 839 30 the the DT 63372 839 31 ether ether NN 63372 839 32 . . . 63372 840 1 ] ] -RRB- 63372 840 2 139 139 CD 63372 840 3 [ [ -LRB- 63372 840 4 Save Save NNP 63372 840 5 as as IN 63372 840 6 he -PRON- PRP 63372 840 7 forbids forbid VBZ 63372 840 8 us -PRON- PRP 63372 840 9 to to TO 63372 840 10 employ employ VB 63372 840 11 the the DT 63372 840 12 ether ether NN 63372 840 13 as as IN 63372 840 14 a a DT 63372 840 15 standard standard NN 63372 840 16 of of IN 63372 840 17 absolute absolute JJ 63372 840 18 motion motion NN 63372 840 19 , , , 63372 840 20 Einstein Einstein NNP 63372 840 21 does do VBZ 63372 840 22 not not RB 63372 840 23 in in IN 63372 840 24 the the DT 63372 840 25 least least JJS 63372 840 26 care care NN 63372 840 27 what what WDT 63372 840 28 qualities quality NNS 63372 840 29 we -PRON- PRP 63372 840 30 assign assign VBP 63372 840 31 to to IN 63372 840 32 it -PRON- PRP 63372 840 33 , , , 63372 840 34 or or CC 63372 840 35 whether whether IN 63372 840 36 we -PRON- PRP 63372 840 37 retain retain VBP 63372 840 38 it -PRON- PRP 63372 840 39 at at RB 63372 840 40 all all RB 63372 840 41 . . . 63372 841 1 His -PRON- PRP$ 63372 841 2 demands demand NNS 63372 841 3 are be VBP 63372 841 4 going go VBG 63372 841 5 to to TO 63372 841 6 be be VB 63372 841 7 made make VBN 63372 841 8 upon upon IN 63372 841 9 light light NN 63372 841 10 itself -PRON- PRP 63372 841 11 , , , 63372 841 12 not not RB 63372 841 13 upon upon IN 63372 841 14 the the DT 63372 841 15 alleged allege VBN 63372 841 16 medium medium NN 63372 841 17 of of IN 63372 841 18 light light JJ 63372 841 19 transmission transmission NN 63372 841 20 . . . 63372 842 1 When when WRB 63372 842 2 two two CD 63372 842 3 observers observer NNS 63372 842 4 in in IN 63372 842 5 relative relative JJ 63372 842 6 motion motion NN 63372 842 7 to to IN 63372 842 8 one one CD 63372 842 9 another another DT 63372 842 10 measure measure NN 63372 842 11 their -PRON- PRP$ 63372 842 12 velocities velocity NNS 63372 842 13 with with IN 63372 842 14 respect respect NN 63372 842 15 to to IN 63372 842 16 a a DT 63372 842 17 third third JJ 63372 842 18 material material NN 63372 842 19 object object NN 63372 842 20 , , , 63372 842 21 they -PRON- PRP 63372 842 22 expect expect VBP 63372 842 23 to to TO 63372 842 24 get get VB 63372 842 25 different different JJ 63372 842 26 results result NNS 63372 842 27 . . . 63372 843 1 Their -PRON- PRP$ 63372 843 2 velocities velocity NNS 63372 843 3 with with IN 63372 843 4 regard regard NN 63372 843 5 to to IN 63372 843 6 this this DT 63372 843 7 object object NN 63372 843 8 properly properly RB 63372 843 9 differ differ VBP 63372 843 10 , , , 63372 843 11 for for IN 63372 843 12 it -PRON- PRP 63372 843 13 is be VBZ 63372 843 14 no no DT 63372 843 15 more more JJR 63372 843 16 to to TO 63372 843 17 be be VB 63372 843 18 taken take VBN 63372 843 19 as as IN 63372 843 20 a a DT 63372 843 21 universal universal JJ 63372 843 22 super super NN 63372 843 23 - - JJ 63372 843 24 observer observer NN 63372 843 25 than than IN 63372 843 26 either either DT 63372 843 27 of of IN 63372 843 28 them -PRON- PRP 63372 843 29 . . . 63372 844 1 But but CC 63372 844 2 if if IN 63372 844 3 they -PRON- PRP 63372 844 4 get get VBP 63372 844 5 different different JJ 63372 844 6 results result NNS 63372 844 7 when when WRB 63372 844 8 they -PRON- PRP 63372 844 9 come come VBP 63372 844 10 to to TO 63372 844 11 measure measure VB 63372 844 12 the the DT 63372 844 13 velocity velocity NN 63372 844 14 with with IN 63372 844 15 which which WDT 63372 844 16 light light NN 63372 844 17 passes pass VBZ 63372 844 18 their -PRON- PRP$ 63372 844 19 respective respective JJ 63372 844 20 systems system NNS 63372 844 21 , , , 63372 844 22 relativity relativity NN 63372 844 23 is be VBZ 63372 844 24 challenged challenge VBN 63372 844 25 . . . 63372 845 1 Light light NN 63372 845 2 is be VBZ 63372 845 3 with with IN 63372 845 4 some some DT 63372 845 5 propriety propriety NN 63372 845 6 to to TO 63372 845 7 be be VB 63372 845 8 regarded regard VBN 63372 845 9 as as IN 63372 845 10 a a DT 63372 845 11 universal universal JJ 63372 845 12 observer observer NN 63372 845 13 ; ; : 63372 845 14 and and CC 63372 845 15 if if IN 63372 845 16 it -PRON- PRP 63372 845 17 will will MD 63372 845 18 measure measure VB 63372 845 19 our -PRON- PRP$ 63372 845 20 velocities velocity NNS 63372 845 21 against against IN 63372 845 22 each each DT 63372 845 23 other other JJ 63372 845 24 we -PRON- PRP 63372 845 25 can can MD 63372 845 26 not not RB 63372 845 27 deny deny VB 63372 845 28 it -PRON- PRP 63372 845 29 rank rank VB 63372 845 30 as as IN 63372 845 31 an an DT 63372 845 32 absolute absolute JJ 63372 845 33 standard standard NN 63372 845 34 . . . 63372 846 1 If if IN 63372 846 2 we -PRON- PRP 63372 846 3 are be VBP 63372 846 4 not not RB 63372 846 5 prepared prepared JJ 63372 846 6 to to TO 63372 846 7 abandon abandon VB 63372 846 8 universal universal JJ 63372 846 9 relativity relativity NN 63372 846 10 , , , 63372 846 11 and and CC 63372 846 12 adopt adopt VB 63372 846 13 one one CD 63372 846 14 of of IN 63372 846 15 the the DT 63372 846 16 " " `` 63372 846 17 fluke fluke NN 63372 846 18 " " '' 63372 846 19 explanations explanation NNS 63372 846 20 for for IN 63372 846 21 the the DT 63372 846 22 Michelson Michelson NNP 63372 846 23 - - HYPH 63372 846 24 Morley Morley NNP 63372 846 25 result result NN 63372 846 26 , , , 63372 846 27 we -PRON- PRP 63372 846 28 must must MD 63372 846 29 boldly boldly RB 63372 846 30 postulate postulate VB 63372 846 31 that that IN 63372 846 32 in in IN 63372 846 33 free free JJ 63372 846 34 space space NN 63372 846 35 light light NN 63372 846 36 presents present VBZ 63372 846 37 the the DT 63372 846 38 same same JJ 63372 846 39 velocity velocity NN 63372 846 40 $ $ $ 63372 846 41 C$ c$ $ 63372 846 42 to to IN 63372 846 43 all all DT 63372 846 44 observers observer NNS 63372 846 45 -- -- : 63372 846 46 whatever whatever WDT 63372 846 47 the the DT 63372 846 48 source source NN 63372 846 49 of of IN 63372 846 50 the the DT 63372 846 51 light light NN 63372 846 52 , , , 63372 846 53 whatever whatever WDT 63372 846 54 the the DT 63372 846 55 relative relative JJ 63372 846 56 motion motion NN 63372 846 57 between between IN 63372 846 58 source source NN 63372 846 59 and and CC 63372 846 60 observer observer NN 63372 846 61 , , , 63372 846 62 whatever whatever WDT 63372 846 63 the the DT 63372 846 64 relative relative JJ 63372 846 65 motion motion NN 63372 846 66 between between IN 63372 846 67 the the DT 63372 846 68 several several JJ 63372 846 69 observers observer NNS 63372 846 70 . . . 63372 847 1 The the DT 63372 847 2 departure departure NN 63372 847 3 here here RB 63372 847 4 from from IN 63372 847 5 the the DT 63372 847 6 old old JJ 63372 847 7 assumption assumption NN 63372 847 8 lies lie VBZ 63372 847 9 in in IN 63372 847 10 the the DT 63372 847 11 circumstance circumstance NN 63372 847 12 that that WDT 63372 847 13 the the DT 63372 847 14 old old JJ 63372 847 15 physics physics NN 63372 847 16 with with IN 63372 847 17 its -PRON- PRP$ 63372 847 18 ether ether NN 63372 847 19 assigned assign VBN 63372 847 20 to to TO 63372 847 21 light light VB 63372 847 22 a a DT 63372 847 23 velocity velocity NN 63372 847 24 universally universally RB 63372 847 25 constant constant JJ 63372 847 26 in in IN 63372 847 27 this this DT 63372 847 28 ether ether NN 63372 847 29 ; ; : 63372 847 30 we -PRON- PRP 63372 847 31 have have VBP 63372 847 32 stopped stop VBN 63372 847 33 talking talk VBG 63372 847 34 about about IN 63372 847 35 the the DT 63372 847 36 medium medium NN 63372 847 37 and and CC 63372 847 38 have have VBP 63372 847 39 made make VBN 63372 847 40 the the DT 63372 847 41 constant constant JJ 63372 847 42 $ $ $ 63372 847 43 C$ c$ $ 63372 847 44 refer refer NN 63372 847 45 to to IN 63372 847 46 the the DT 63372 847 47 observer observer NN 63372 847 48 's 's POS 63372 847 49 measured measure VBN 63372 847 50 value value NN 63372 847 51 of of IN 63372 847 52 the the DT 63372 847 53 velocity velocity NN 63372 847 54 of of IN 63372 847 55 light light NN 63372 847 56 with with IN 63372 847 57 regard regard NN 63372 847 58 to to IN 63372 847 59 himself -PRON- PRP 63372 847 60 . . . 63372 848 1 We -PRON- PRP 63372 848 2 are be VBP 63372 848 3 fortified fortify VBN 63372 848 4 in in IN 63372 848 5 this this DT 63372 848 6 assumption assumption NN 63372 848 7 by by IN 63372 848 8 the the DT 63372 848 9 Michelson Michelson NNP 63372 848 10 - - HYPH 63372 848 11 Morley Morley NNP 63372 848 12 result result NN 63372 848 13 and and CC 63372 848 14 by by IN 63372 848 15 all all DT 63372 848 16 other other JJ 63372 848 17 observations observation NNS 63372 848 18 bearing bear VBG 63372 848 19 directly directly RB 63372 848 20 upon upon IN 63372 848 21 the the DT 63372 848 22 matter matter NN 63372 848 23 . . . 63372 849 1 Nevertheless nevertheless RB 63372 849 2 , , , 63372 849 3 as as IN 63372 849 4 Mr. Mr. NNP 63372 849 5 Francis Francis NNP 63372 849 6 says say VBZ 63372 849 7 in in IN 63372 849 8 his -PRON- PRP$ 63372 849 9 essay essay NN 63372 849 10 , , , 63372 849 11 we -PRON- PRP 63372 849 12 feel feel VBP 63372 849 13 instinctively instinctively RB 63372 849 14 that that IN 63372 849 15 space space NN 63372 849 16 and and CC 63372 849 17 time time NN 63372 849 18 are be VBP 63372 849 19 not not RB 63372 849 20 so so RB 63372 849 21 constituted constituted JJ 63372 849 22 as as IN 63372 849 23 to to TO 63372 849 24 make make VB 63372 849 25 it -PRON- PRP 63372 849 26 possible possible JJ 63372 849 27 , , , 63372 849 28 if if IN 63372 849 29 I -PRON- PRP 63372 849 30 pass pass VBP 63372 849 31 you -PRON- PRP 63372 849 32 at at IN 63372 849 33 100 100 CD 63372 849 34 miles mile NNS 63372 849 35 per per IN 63372 849 36 hour hour NN 63372 849 37 , , , 63372 849 38 for for IN 63372 849 39 the the DT 63372 849 40 same same JJ 63372 849 41 light light NN 63372 849 42 - - HYPH 63372 849 43 impulse impulse NN 63372 849 44 to to TO 63372 849 45 pass pass VB 63372 849 46 us -PRON- PRP 63372 849 47 both both CC 63372 849 48 at at IN 63372 849 49 the the DT 63372 849 50 same same JJ 63372 849 51 speed speed NN 63372 849 52 $ $ $ 63372 849 53 C$ c$ $ 63372 849 54 . . . 63372 850 1 ] ] -RRB- 63372 850 2 * * NFP 63372 850 3 [ [ -LRB- 63372 850 4 The the DT 63372 850 5 implicit implicit JJ 63372 850 6 assumptions assumption NNS 63372 850 7 underlying underlie VBG 63372 850 8 this this DT 63372 850 9 feeling feeling NN 63372 850 10 , , , 63372 850 11 be be VB 63372 850 12 they -PRON- PRP 63372 850 13 true true JJ 63372 850 14 or or CC 63372 850 15 false false JJ 63372 850 16 , , , 63372 850 17 are be VBP 63372 850 18 now now RB 63372 850 19 so so RB 63372 850 20 interwoven interwoven JJ 63372 850 21 with with IN 63372 850 22 the the DT 63372 850 23 commonly commonly RB 63372 850 24 received receive VBN 63372 850 25 notions notion NNS 63372 850 26 of of IN 63372 850 27 space space NN 63372 850 28 and and CC 63372 850 29 time time NN 63372 850 30 that that WDT 63372 850 31 any any DT 63372 850 32 theory theory NN 63372 850 33 which which WDT 63372 850 34 questions question VBZ 63372 850 35 them -PRON- PRP 63372 850 36 has have VBZ 63372 850 37 all all PDT 63372 850 38 the the DT 63372 850 39 appearance appearance NN 63372 850 40 of of IN 63372 850 41 a a DT 63372 850 42 fantastic fantastic JJ 63372 850 43 and and CC 63372 850 44 unthinkable unthinkable JJ 63372 850 45 thing thing NN 63372 850 46 . . . 63372 851 1 ] ] -RRB- 63372 851 2 115 115 CD 63372 851 3 [ [ -LRB- 63372 851 4 We -PRON- PRP 63372 851 5 can can MD 63372 851 6 not not RB 63372 851 7 , , , 63372 851 8 however however RB 63372 851 9 , , , 63372 851 10 go go VB 63372 851 11 back back RB 63372 851 12 on on IN 63372 851 13 our -PRON- PRP$ 63372 851 14 relativity relativity NN 63372 851 15 ; ; : 63372 851 16 so so CC 63372 851 17 when when WRB 63372 851 18 ] ] -RRB- 63372 851 19 * * NFP 63372 851 20 [ [ -LRB- 63372 851 21 Einstein Einstein NNP 63372 851 22 shows show VBZ 63372 851 23 us -PRON- PRP 63372 851 24 that that IN 63372 851 25 an an DT 63372 851 26 entirely entirely RB 63372 851 27 new new JJ 63372 851 28 set set NN 63372 851 29 of of IN 63372 851 30 time time NN 63372 851 31 and and CC 63372 851 32 space space NN 63372 851 33 concepts concept NNS 63372 851 34 is be VBZ 63372 851 35 necessary necessary JJ 63372 851 36 to to TO 63372 851 37 reconcile reconcile VB 63372 851 38 universe universe JJ 63372 851 39 relativity relativity NN 63372 851 40 with with IN 63372 851 41 this this DT 63372 851 42 fundamental fundamental JJ 63372 851 43 fact fact NN 63372 851 44 of of IN 63372 851 45 the the DT 63372 851 46 absolute absolute JJ 63372 851 47 constancy constancy NN 63372 851 48 of of IN 63372 851 49 the the DT 63372 851 50 observed observed JJ 63372 851 51 velocity velocity NN 63372 851 52 of of IN 63372 851 53 light light NN 63372 851 54 in in IN 63372 851 55 vacuo,]18 vacuo,]18 NN 63372 851 56 [ [ -LRB- 63372 851 57 all all DT 63372 851 58 that that WDT 63372 851 59 is be VBZ 63372 851 60 left leave VBN 63372 851 61 for for IN 63372 851 62 us -PRON- PRP 63372 851 63 to to TO 63372 851 64 do do VB 63372 851 65 is be VBZ 63372 851 66 to to TO 63372 851 67 inquire inquire VB 63372 851 68 what what WP 63372 851 69 revisions revision NNS 63372 851 70 are be VBP 63372 851 71 necessary necessary JJ 63372 851 72 , , , 63372 851 73 and and CC 63372 851 74 submit submit VB 63372 851 75 to to IN 63372 851 76 them -PRON- PRP 63372 851 77 . . . 63372 852 1 ] ] -RRB- 63372 852 2 * * NFP 63372 852 3 [ [ -LRB- 63372 852 4 The the DT 63372 852 5 conceptual conceptual JJ 63372 852 6 difficulties difficulty NNS 63372 852 7 of of IN 63372 852 8 the the DT 63372 852 9 theory theory NN 63372 852 10 arise arise VBP 63372 852 11 principally principally RB 63372 852 12 from from IN 63372 852 13 attributing attribute VBG 63372 852 14 to to IN 63372 852 15 space space NN 63372 852 16 and and CC 63372 852 17 time time NN 63372 852 18 the the DT 63372 852 19 properties property NNS 63372 852 20 of of IN 63372 852 21 things thing NNS 63372 852 22 . . . 63372 853 1 No no DT 63372 853 2 portion portion NN 63372 853 3 of of IN 63372 853 4 space space NN 63372 853 5 can can MD 63372 853 6 be be VB 63372 853 7 compared compare VBN 63372 853 8 with with IN 63372 853 9 another another DT 63372 853 10 , , , 63372 853 11 save save RB 63372 853 12 by by IN 63372 853 13 convention convention NN 63372 853 14 ; ; : 63372 853 15 it -PRON- PRP 63372 853 16 is be VBZ 63372 853 17 things thing NNS 63372 853 18 which which WDT 63372 853 19 we -PRON- PRP 63372 853 20 compare compare VBP 63372 853 21 . . . 63372 854 1 No no DT 63372 854 2 interval interval NN 63372 854 3 of of IN 63372 854 4 time time NN 63372 854 5 can can MD 63372 854 6 be be VB 63372 854 7 compared compare VBN 63372 854 8 with with IN 63372 854 9 another another DT 63372 854 10 , , , 63372 854 11 save save RB 63372 854 12 by by IN 63372 854 13 convention convention NN 63372 854 14 . . . 63372 855 1 The the DT 63372 855 2 first first JJ 63372 855 3 has have VBZ 63372 855 4 gone go VBN 63372 855 5 when when WRB 63372 855 6 the the DT 63372 855 7 second second JJ 63372 855 8 becomes become VBZ 63372 855 9 " " `` 63372 855 10 now now RB 63372 855 11 " " '' 63372 855 12 . . . 63372 856 1 ] ] -RRB- 63372 856 2 149 149 CD 63372 856 3 [ [ -LRB- 63372 856 4 It -PRON- PRP 63372 856 5 is be VBZ 63372 856 6 events event NNS 63372 856 7 that that WDT 63372 856 8 we -PRON- PRP 63372 856 9 compare compare VBP 63372 856 10 , , , 63372 856 11 through through IN 63372 856 12 the the DT 63372 856 13 intervention intervention NN 63372 856 14 of of IN 63372 856 15 things thing NNS 63372 856 16 . . . 63372 857 1 Our -PRON- PRP$ 63372 857 2 measurements measurement NNS 63372 857 3 are be VBP 63372 857 4 never never RB 63372 857 5 of of IN 63372 857 6 space space NN 63372 857 7 or or CC 63372 857 8 of of IN 63372 857 9 time time NN 63372 857 10 , , , 63372 857 11 but but CC 63372 857 12 only only RB 63372 857 13 of of IN 63372 857 14 the the DT 63372 857 15 things thing NNS 63372 857 16 and and CC 63372 857 17 the the DT 63372 857 18 events event NNS 63372 857 19 that that WDT 63372 857 20 occupy occupy VBP 63372 857 21 space space NN 63372 857 22 and and CC 63372 857 23 time time NN 63372 857 24 . . . 63372 858 1 And and CC 63372 858 2 since since IN 63372 858 3 the the DT 63372 858 4 measurements measurement NNS 63372 858 5 which which WDT 63372 858 6 we -PRON- PRP 63372 858 7 deal deal VBP 63372 858 8 with with IN 63372 858 9 as as IN 63372 858 10 though though IN 63372 858 11 they -PRON- PRP 63372 858 12 were be VBD 63372 858 13 of of IN 63372 858 14 space space NN 63372 858 15 and and CC 63372 858 16 of of IN 63372 858 17 time time NN 63372 858 18 lie lie NN 63372 858 19 at at IN 63372 858 20 the the DT 63372 858 21 foundation foundation NN 63372 858 22 of of IN 63372 858 23 all all DT 63372 858 24 physical physical JJ 63372 858 25 science science NN 63372 858 26 , , , 63372 858 27 while while IN 63372 858 28 at at IN 63372 858 29 the the DT 63372 858 30 same same JJ 63372 858 31 time time NN 63372 858 32 themselves -PRON- PRP 63372 858 33 constituting constitute VBG 63372 858 34 , , , 63372 858 35 as as IN 63372 858 36 we -PRON- PRP 63372 858 37 have have VBP 63372 858 38 seen see VBN 63372 858 39 , , , 63372 858 40 the the DT 63372 858 41 only only JJ 63372 858 42 reality reality NN 63372 858 43 of of IN 63372 858 44 which which WDT 63372 858 45 we -PRON- PRP 63372 858 46 are be VBP 63372 858 47 entitled entitle VBN 63372 858 48 to to TO 63372 858 49 speak speak VB 63372 858 50 , , , 63372 858 51 it -PRON- PRP 63372 858 52 is be VBZ 63372 858 53 in in IN 63372 858 54 order order NN 63372 858 55 to to TO 63372 858 56 examine examine VB 63372 858 57 with with IN 63372 858 58 the the DT 63372 858 59 utmost utmost JJ 63372 858 60 care care VBP 63372 858 61 the the DT 63372 858 62 assumptions assumption NNS 63372 858 63 underlying underlie VBG 63372 858 64 them -PRON- PRP 63372 858 65 . . . 63372 859 1 That that IN 63372 859 2 there there EX 63372 859 3 are be VBP 63372 859 4 such such JJ 63372 859 5 assumptions assumption NNS 63372 859 6 is be VBZ 63372 859 7 clear clear JJ 63372 859 8 -- -- : 63372 859 9 the the DT 63372 859 10 very very JJ 63372 859 11 possibility possibility NN 63372 859 12 of of IN 63372 859 13 making make VBG 63372 859 14 measurements measurement NNS 63372 859 15 is be VBZ 63372 859 16 itself -PRON- PRP 63372 859 17 an an DT 63372 859 18 assumption assumption NN 63372 859 19 , , , 63372 859 20 and and CC 63372 859 21 every every DT 63372 859 22 technique technique NN 63372 859 23 for for IN 63372 859 24 carrying carry VBG 63372 859 25 them -PRON- PRP 63372 859 26 out out RP 63372 859 27 rests rest NNS 63372 859 28 on on IN 63372 859 29 an an DT 63372 859 30 assumption assumption NN 63372 859 31 . . . 63372 860 1 Let let VB 63372 860 2 us -PRON- PRP 63372 860 3 inquire inquire VB 63372 860 4 which which WDT 63372 860 5 of of IN 63372 860 6 these these DT 63372 860 7 it -PRON- PRP 63372 860 8 is be VBZ 63372 860 9 that that DT 63372 860 10 relativity relativity NN 63372 860 11 asks ask VBZ 63372 860 12 us -PRON- PRP 63372 860 13 to to TO 63372 860 14 revise revise VB 63372 860 15 . . . 63372 861 1 ] ] -RRB- 63372 861 2 * * NFP 63372 861 3 THE the DT 63372 861 4 MEASUREMENT MEASUREMENT NNP 63372 861 5 OF of IN 63372 861 6 TIME time NN 63372 861 7 AND and CC 63372 861 8 SPACE space NN 63372 861 9 [ [ -LRB- 63372 861 10 Time Time NNP 63372 861 11 is be VBZ 63372 861 12 generally generally RB 63372 861 13 conceived conceive VBN 63372 861 14 as as RB 63372 861 15 perfectly perfectly RB 63372 861 16 uniform uniform JJ 63372 861 17 . . . 63372 862 1 How how WRB 63372 862 2 do do VBP 63372 862 3 we -PRON- PRP 63372 862 4 judge judge VB 63372 862 5 about about IN 63372 862 6 it -PRON- PRP 63372 862 7 ? ? . 63372 863 1 What what WP 63372 863 2 tells tell VBZ 63372 863 3 us -PRON- PRP 63372 863 4 that that IN 63372 863 5 the the DT 63372 863 6 second second JJ 63372 863 7 just just RB 63372 863 8 elapsed elapse VBN 63372 863 9 is be VBZ 63372 863 10 equal equal JJ 63372 863 11 to to IN 63372 863 12 the the DT 63372 863 13 one one NN 63372 863 14 following follow VBG 63372 863 15 ? ? . 63372 864 1 By by IN 63372 864 2 the the DT 63372 864 3 very very JJ 63372 864 4 nature nature NN 63372 864 5 of of IN 63372 864 6 time time NN 63372 864 7 the the DT 63372 864 8 superposition superposition NN 63372 864 9 of of IN 63372 864 10 its -PRON- PRP$ 63372 864 11 successive successive JJ 63372 864 12 intervals interval NNS 63372 864 13 is be VBZ 63372 864 14 impossible impossible JJ 63372 864 15 . . . 63372 865 1 How how WRB 63372 865 2 then then RB 63372 865 3 can can MD 63372 865 4 we -PRON- PRP 63372 865 5 talk talk VB 63372 865 6 about about IN 63372 865 7 the the DT 63372 865 8 relative relative JJ 63372 865 9 duration duration NN 63372 865 10 of of IN 63372 865 11 these these DT 63372 865 12 intervals interval NNS 63372 865 13 ? ? . 63372 866 1 It -PRON- PRP 63372 866 2 is be VBZ 63372 866 3 clear clear JJ 63372 866 4 that that IN 63372 866 5 any any DT 63372 866 6 relationship relationship NN 63372 866 7 between between IN 63372 866 8 them -PRON- PRP 63372 866 9 can can MD 63372 866 10 only only RB 63372 866 11 be be VB 63372 866 12 conventional conventional JJ 63372 866 13 . . . 63372 867 1 ] ] -RRB- 63372 867 2 178 178 CD 63372 867 3 [ [ -LRB- 63372 867 4 As as IN 63372 867 5 a a DT 63372 867 6 matter matter NN 63372 867 7 of of IN 63372 867 8 fact fact NN 63372 867 9 , , , 63372 867 10 we -PRON- PRP 63372 867 11 habitually habitually RB 63372 867 12 measure measure VBP 63372 867 13 time time NN 63372 867 14 in in IN 63372 867 15 terms term NNS 63372 867 16 of of IN 63372 867 17 moving move VBG 63372 867 18 bodies body NNS 63372 867 19 . . . 63372 868 1 The the DT 63372 868 2 simplest simple JJS 63372 868 3 method method NN 63372 868 4 is be VBZ 63372 868 5 to to TO 63372 868 6 agree agree VB 63372 868 7 that that IN 63372 868 8 some some DT 63372 868 9 entity entity NN 63372 868 10 moves move NNS 63372 868 11 with with IN 63372 868 12 uniform uniform JJ 63372 868 13 velocity velocity NN 63372 868 14 . . . 63372 869 1 It -PRON- PRP 63372 869 2 will will MD 63372 869 3 be be VB 63372 869 4 considered consider VBN 63372 869 5 as as IN 63372 869 6 travelling travel VBG 63372 869 7 equal equal JJ 63372 869 8 distances distance NNS 63372 869 9 in in IN 63372 869 10 equal equal JJ 63372 869 11 intervals interval NNS 63372 869 12 of of IN 63372 869 13 time time NN 63372 869 14 , , , 63372 869 15 the the DT 63372 869 16 distances distance NNS 63372 869 17 to to TO 63372 869 18 be be VB 63372 869 19 measured measure VBN 63372 869 20 as as IN 63372 869 21 may may MD 63372 869 22 be be VB 63372 869 23 specified specify VBN 63372 869 24 by by IN 63372 869 25 our -PRON- PRP$ 63372 869 26 assumptions assumption NNS 63372 869 27 governing govern VBG 63372 869 28 this this DT 63372 869 29 department department NN 63372 869 30 of of IN 63372 869 31 investigation investigation NN 63372 869 32 . . . 63372 870 1 ] ] -RRB- 63372 870 2 179 179 CD 63372 870 3 [ [ -LRB- 63372 870 4 The the DT 63372 870 5 motions motion NNS 63372 870 6 of of IN 63372 870 7 the the DT 63372 870 8 earth earth NN 63372 870 9 through through IN 63372 870 10 which which WDT 63372 870 11 we -PRON- PRP 63372 870 12 ultimately ultimately RB 63372 870 13 define define VBP 63372 870 14 the the DT 63372 870 15 length length NN 63372 870 16 of of IN 63372 870 17 day day NN 63372 870 18 and and CC 63372 870 19 year year NN 63372 870 20 , , , 63372 870 21 the the DT 63372 870 22 division division NN 63372 870 23 of of IN 63372 870 24 the the DT 63372 870 25 former former JJ 63372 870 26 into into IN 63372 870 27 86,400 86,400 CD 63372 870 28 " " `` 63372 870 29 equal equal JJ 63372 870 30 " " '' 63372 870 31 intervals interval NNS 63372 870 32 as as IN 63372 870 33 defined define VBN 63372 870 34 by by IN 63372 870 35 the the DT 63372 870 36 motions motion NNS 63372 870 37 of of IN 63372 870 38 pendulum pendulum NN 63372 870 39 or or CC 63372 870 40 balance balance NN 63372 870 41 wheel wheel NN 63372 870 42 through through IN 63372 870 43 equal equal JJ 63372 870 44 distances distance NNS 63372 870 45 , , , 63372 870 46 are be VBP 63372 870 47 examples example NNS 63372 870 48 of of IN 63372 870 49 this this DT 63372 870 50 convention convention NN 63372 870 51 of of IN 63372 870 52 time time NN 63372 870 53 measurement measurement NN 63372 870 54 . . . 63372 871 1 Even even RB 63372 871 2 when when WRB 63372 871 3 we -PRON- PRP 63372 871 4 correct correct VBP 63372 871 5 the the DT 63372 871 6 motions motion NNS 63372 871 7 of of IN 63372 871 8 the the DT 63372 871 9 earth earth NN 63372 871 10 , , , 63372 871 11 on on IN 63372 871 12 the the DT 63372 871 13 basis basis NN 63372 871 14 of of IN 63372 871 15 what what WP 63372 871 16 our -PRON- PRP$ 63372 871 17 clocks clock NNS 63372 871 18 tell tell VBP 63372 871 19 us -PRON- PRP 63372 871 20 of of IN 63372 871 21 these these DT 63372 871 22 motions motion NNS 63372 871 23 , , , 63372 871 24 we -PRON- PRP 63372 871 25 are be VBP 63372 871 26 following follow VBG 63372 871 27 this this DT 63372 871 28 lead lead NN 63372 871 29 ; ; : 63372 871 30 the the DT 63372 871 31 earth earth NN 63372 871 32 and and CC 63372 871 33 the the DT 63372 871 34 clocks clock NNS 63372 871 35 fall fall VBP 63372 871 36 out out RP 63372 871 37 , , , 63372 871 38 it -PRON- PRP 63372 871 39 is be VBZ 63372 871 40 plain plain JJ 63372 871 41 that that IN 63372 871 42 one one CD 63372 871 43 of of IN 63372 871 44 them -PRON- PRP 63372 871 45 does do VBZ 63372 871 46 not not RB 63372 871 47 satisfy satisfy VB 63372 871 48 our -PRON- PRP$ 63372 871 49 assumption assumption NN 63372 871 50 of of IN 63372 871 51 equal equal JJ 63372 871 52 lengths length NNS 63372 871 53 in in IN 63372 871 54 equal equal JJ 63372 871 55 times time NNS 63372 871 56 , , , 63372 871 57 and and CC 63372 871 58 we -PRON- PRP 63372 871 59 decide decide VBP 63372 871 60 to to TO 63372 871 61 believe believe VB 63372 871 62 the the DT 63372 871 63 clock clock NN 63372 871 64 . . . 63372 872 1 ] ] -RRB- 63372 872 2 * * NFP 63372 872 3 [ [ -LRB- 63372 872 4 The the DT 63372 872 5 foregoing foregoing NN 63372 872 6 concerning concern VBG 63372 872 7 time time NN 63372 872 8 may may MD 63372 872 9 be be VB 63372 872 10 accepted accept VBN 63372 872 11 as as IN 63372 872 12 inherent inherent JJ 63372 872 13 in in IN 63372 872 14 time time NN 63372 872 15 itself -PRON- PRP 63372 872 16 . . . 63372 873 1 But but CC 63372 873 2 concerning concern VBG 63372 873 3 lengths length NNS 63372 873 4 it -PRON- PRP 63372 873 5 may may MD 63372 873 6 be be VB 63372 873 7 thought think VBN 63372 873 8 that that IN 63372 873 9 we -PRON- PRP 63372 873 10 are be VBP 63372 873 11 able able JJ 63372 873 12 to to TO 63372 873 13 verify verify VB 63372 873 14 absolutely absolutely RB 63372 873 15 their -PRON- PRP$ 63372 873 16 equality equality NN 63372 873 17 and and CC 63372 873 18 especially especially RB 63372 873 19 their -PRON- PRP$ 63372 873 20 invariability invariability NN 63372 873 21 . . . 63372 874 1 Let let VB 63372 874 2 us -PRON- PRP 63372 874 3 have have VB 63372 874 4 the the DT 63372 874 5 audacity audacity NN 63372 874 6 to to TO 63372 874 7 verify verify VB 63372 874 8 this this DT 63372 874 9 statement statement NN 63372 874 10 . . . 63372 875 1 We -PRON- PRP 63372 875 2 have have VBP 63372 875 3 two two CD 63372 875 4 lengths length NNS 63372 875 5 , , , 63372 875 6 in in IN 63372 875 7 the the DT 63372 875 8 shape shape NN 63372 875 9 of of IN 63372 875 10 two two CD 63372 875 11 rods rod NNS 63372 875 12 , , , 63372 875 13 which which WDT 63372 875 14 coincide coincide VBP 63372 875 15 perfectly perfectly RB 63372 875 16 when when WRB 63372 875 17 brought bring VBN 63372 875 18 together together RB 63372 875 19 . . . 63372 876 1 What what WP 63372 876 2 may may MD 63372 876 3 we -PRON- PRP 63372 876 4 conclude conclude VB 63372 876 5 from from IN 63372 876 6 this this DT 63372 876 7 coincidence coincidence NN 63372 876 8 ? ? . 63372 877 1 Only only RB 63372 877 2 that that IN 63372 877 3 the the DT 63372 877 4 two two CD 63372 877 5 rods rod NNS 63372 877 6 so so RB 63372 877 7 considered consider VBN 63372 877 8 have have VBP 63372 877 9 equal equal JJ 63372 877 10 lengths length NNS 63372 877 11 at at IN 63372 877 12 the the DT 63372 877 13 same same JJ 63372 877 14 place place NN 63372 877 15 in in IN 63372 877 16 space space NN 63372 877 17 and and CC 63372 877 18 at at IN 63372 877 19 the the DT 63372 877 20 same same JJ 63372 877 21 moment moment NN 63372 877 22 . . . 63372 878 1 It -PRON- PRP 63372 878 2 may may MD 63372 878 3 very very RB 63372 878 4 well well RB 63372 878 5 be be VB 63372 878 6 that that IN 63372 878 7 each each DT 63372 878 8 rod rod NN 63372 878 9 has have VBZ 63372 878 10 a a DT 63372 878 11 different different JJ 63372 878 12 length length NN 63372 878 13 at at IN 63372 878 14 different different JJ 63372 878 15 locations location NNS 63372 878 16 in in IN 63372 878 17 space space NN 63372 878 18 and and CC 63372 878 19 at at IN 63372 878 20 different different JJ 63372 878 21 times time NNS 63372 878 22 ; ; : 63372 878 23 that that IN 63372 878 24 their -PRON- PRP$ 63372 878 25 equality equality NN 63372 878 26 is be VBZ 63372 878 27 purely purely RB 63372 878 28 a a DT 63372 878 29 local local JJ 63372 878 30 matter matter NN 63372 878 31 . . . 63372 879 1 Such such JJ 63372 879 2 changes change NNS 63372 879 3 could could MD 63372 879 4 never never RB 63372 879 5 be be VB 63372 879 6 detected detect VBN 63372 879 7 if if IN 63372 879 8 they -PRON- PRP 63372 879 9 affected affect VBD 63372 879 10 all all DT 63372 879 11 objects object NNS 63372 879 12 in in IN 63372 879 13 the the DT 63372 879 14 universe universe NN 63372 879 15 . . . 63372 880 1 We -PRON- PRP 63372 880 2 can can MD 63372 880 3 not not RB 63372 880 4 even even RB 63372 880 5 ascertain ascertain VB 63372 880 6 that that IN 63372 880 7 both both DT 63372 880 8 rods rod NNS 63372 880 9 remain remain VBP 63372 880 10 straight straight JJ 63372 880 11 when when WRB 63372 880 12 we -PRON- PRP 63372 880 13 transport transport VBP 63372 880 14 them -PRON- PRP 63372 880 15 to to IN 63372 880 16 another another DT 63372 880 17 location location NN 63372 880 18 , , , 63372 880 19 for for IN 63372 880 20 both both DT 63372 880 21 can can MD 63372 880 22 very very RB 63372 880 23 well well RB 63372 880 24 take take VB 63372 880 25 the the DT 63372 880 26 same same JJ 63372 880 27 curvature curvature NN 63372 880 28 and and CC 63372 880 29 we -PRON- PRP 63372 880 30 shall shall MD 63372 880 31 have have VB 63372 880 32 no no DT 63372 880 33 means means NN 63372 880 34 of of IN 63372 880 35 detecting detect VBG 63372 880 36 it -PRON- PRP 63372 880 37 . . . 63372 881 1 Euclidean euclidean JJ 63372 881 2 geometry geometry NN 63372 881 3 assumes assume VBZ 63372 881 4 that that IN 63372 881 5 geometrical geometrical JJ 63372 881 6 objects object NNS 63372 881 7 have have VBP 63372 881 8 sizes size NNS 63372 881 9 and and CC 63372 881 10 shapes shape NNS 63372 881 11 independent independent JJ 63372 881 12 of of IN 63372 881 13 position position NN 63372 881 14 and and CC 63372 881 15 of of IN 63372 881 16 orientation orientation NN 63372 881 17 in in IN 63372 881 18 space space NN 63372 881 19 , , , 63372 881 20 and and CC 63372 881 21 equally equally RB 63372 881 22 invariable invariable JJ 63372 881 23 in in IN 63372 881 24 time time NN 63372 881 25 . . . 63372 882 1 But but CC 63372 882 2 the the DT 63372 882 3 properties property NNS 63372 882 4 thus thus RB 63372 882 5 presupposed presuppose VBN 63372 882 6 are be VBP 63372 882 7 only only RB 63372 882 8 conventional conventional JJ 63372 882 9 and and CC 63372 882 10 in in IN 63372 882 11 no no DT 63372 882 12 way way NN 63372 882 13 subject subject JJ 63372 882 14 to to IN 63372 882 15 direct direct JJ 63372 882 16 verification verification NN 63372 882 17 . . . 63372 883 1 We -PRON- PRP 63372 883 2 can can MD 63372 883 3 not not RB 63372 883 4 even even RB 63372 883 5 ascertain ascertain VB 63372 883 6 space space NN 63372 883 7 to to TO 63372 883 8 be be VB 63372 883 9 independent independent JJ 63372 883 10 of of IN 63372 883 11 time time NN 63372 883 12 , , , 63372 883 13 because because IN 63372 883 14 when when WRB 63372 883 15 comparing compare VBG 63372 883 16 geometrical geometrical JJ 63372 883 17 objects object NNS 63372 883 18 we -PRON- PRP 63372 883 19 have have VBP 63372 883 20 to to TO 63372 883 21 conceive conceive VB 63372 883 22 them -PRON- PRP 63372 883 23 as as IN 63372 883 24 brought bring VBD 63372 883 25 to to IN 63372 883 26 the the DT 63372 883 27 same same JJ 63372 883 28 place place NN 63372 883 29 in in IN 63372 883 30 space space NN 63372 883 31 and and CC 63372 883 32 in in IN 63372 883 33 time time NN 63372 883 34 . . . 63372 884 1 ] ] -RRB- 63372 884 2 178 178 CD 63372 884 3 [ [ -LRB- 63372 884 4 Even even RB 63372 884 5 the the DT 63372 884 6 statement statement NN 63372 884 7 that that IN 63372 884 8 when when WRB 63372 884 9 they -PRON- PRP 63372 884 10 are be VBP 63372 884 11 made make VBN 63372 884 12 to to TO 63372 884 13 coincide coincide VB 63372 884 14 their -PRON- PRP$ 63372 884 15 lengths length NNS 63372 884 16 are be VBP 63372 884 17 equal equal JJ 63372 884 18 is be VBZ 63372 884 19 , , , 63372 884 20 after after RB 63372 884 21 all all RB 63372 884 22 , , , 63372 884 23 itself -PRON- PRP 63372 884 24 an an DT 63372 884 25 assumption assumption NN 63372 884 26 inherent inherent JJ 63372 884 27 in in IN 63372 884 28 our -PRON- PRP$ 63372 884 29 ideas idea NNS 63372 884 30 of of IN 63372 884 31 what what WP 63372 884 32 constitutes constitute VBZ 63372 884 33 length length NN 63372 884 34 . . . 63372 885 1 And and CC 63372 885 2 certainly certainly RB 63372 885 3 the the DT 63372 885 4 notion notion NN 63372 885 5 that that IN 63372 885 6 we -PRON- PRP 63372 885 7 can can MD 63372 885 8 shift shift VB 63372 885 9 them -PRON- PRP 63372 885 10 from from IN 63372 885 11 place place NN 63372 885 12 to to IN 63372 885 13 place place NN 63372 885 14 and and CC 63372 885 15 from from IN 63372 885 16 moment moment NN 63372 885 17 to to TO 63372 885 18 moment moment VB 63372 885 19 , , , 63372 885 20 for for IN 63372 885 21 purposes purpose NNS 63372 885 22 of of IN 63372 885 23 comparison comparison NN 63372 885 24 , , , 63372 885 25 is be VBZ 63372 885 26 an an DT 63372 885 27 assumption assumption NN 63372 885 28 ; ; : 63372 885 29 even even RB 63372 885 30 Euclid Euclid NNP 63372 885 31 , , , 63372 885 32 loose loose JJ 63372 885 33 as as IN 63372 885 34 he -PRON- PRP 63372 885 35 was be VBD 63372 885 36 from from IN 63372 885 37 modern modern JJ 63372 885 38 standards standard NNS 63372 885 39 in in IN 63372 885 40 this this DT 63372 885 41 business business NN 63372 885 42 of of IN 63372 885 43 " " `` 63372 885 44 axioms axiom NNS 63372 885 45 , , , 63372 885 46 " " '' 63372 885 47 knew know VBD 63372 885 48 this this DT 63372 885 49 and and CC 63372 885 50 included include VBD 63372 885 51 a a DT 63372 885 52 superposition superposition NN 63372 885 53 axiom axiom RB 63372 885 54 among among IN 63372 885 55 his -PRON- PRP$ 63372 885 56 assumptions assumption NNS 63372 885 57 . . . 63372 886 1 As as IN 63372 886 2 a a DT 63372 886 3 matter matter NN 63372 886 4 of of IN 63372 886 5 fact fact NN 63372 886 6 , , , 63372 886 7 this this DT 63372 886 8 procedure procedure NN 63372 886 9 for for IN 63372 886 10 determining determine VBG 63372 886 11 equality equality NN 63372 886 12 of of IN 63372 886 13 lengths length NNS 63372 886 14 is be VBZ 63372 886 15 not not RB 63372 886 16 always always RB 63372 886 17 available available JJ 63372 886 18 . . . 63372 887 1 It -PRON- PRP 63372 887 2 assumes assume VBZ 63372 887 3 , , , 63372 887 4 it -PRON- PRP 63372 887 5 will will MD 63372 887 6 be be VB 63372 887 7 noted note VBN 63372 887 8 , , , 63372 887 9 that that IN 63372 887 10 we -PRON- PRP 63372 887 11 have have VBP 63372 887 12 free free JJ 63372 887 13 access access NN 63372 887 14 to to IN 63372 887 15 the the DT 63372 887 16 object object NN 63372 887 17 which which WDT 63372 887 18 is be VBZ 63372 887 19 to to TO 63372 887 20 be be VB 63372 887 21 measured measure VBN 63372 887 22 -- -- : 63372 887 23 which which WDT 63372 887 24 is be VBZ 63372 887 25 to to TO 63372 887 26 say say VB 63372 887 27 , , , 63372 887 28 it -PRON- PRP 63372 887 29 assumes assume VBZ 63372 887 30 that that IN 63372 887 31 this this DT 63372 887 32 object object NN 63372 887 33 is be VBZ 63372 887 34 at at IN 63372 887 35 rest rest NN 63372 887 36 with with IN 63372 887 37 respect respect NN 63372 887 38 to to IN 63372 887 39 us -PRON- PRP 63372 887 40 . . . 63372 888 1 If if IN 63372 888 2 it -PRON- PRP 63372 888 3 is be VBZ 63372 888 4 not not RB 63372 888 5 so so RB 63372 888 6 at at IN 63372 888 7 rest rest NN 63372 888 8 , , , 63372 888 9 we -PRON- PRP 63372 888 10 must must MD 63372 888 11 employ employ VB 63372 888 12 at at IN 63372 888 13 least least JJS 63372 888 14 a a DT 63372 888 15 modification modification NN 63372 888 16 of of IN 63372 888 17 this this DT 63372 888 18 method method NN 63372 888 19 ; ; : 63372 888 20 a a DT 63372 888 21 modification modification NN 63372 888 22 that that WDT 63372 888 23 will will MD 63372 888 24 in in IN 63372 888 25 some some DT 63372 888 26 manner manner NN 63372 888 27 involve involve VBP 63372 888 28 the the DT 63372 888 29 sending sending NN 63372 888 30 of of IN 63372 888 31 signals signal NNS 63372 888 32 . . . 63372 889 1 Even even RB 63372 889 2 when when WRB 63372 889 3 we -PRON- PRP 63372 889 4 employ employ VBP 63372 889 5 the the DT 63372 889 6 Euclidean euclidean JJ 63372 889 7 method method NN 63372 889 8 of of IN 63372 889 9 superposition superposition NN 63372 889 10 directly directly RB 63372 889 11 , , , 63372 889 12 we -PRON- PRP 63372 889 13 must must MD 63372 889 14 be be VB 63372 889 15 assured assure VBN 63372 889 16 that that IN 63372 889 17 the the DT 63372 889 18 respective respective JJ 63372 889 19 ends end NNS 63372 889 20 of of IN 63372 889 21 the the DT 63372 889 22 lengths length NNS 63372 889 23 under under IN 63372 889 24 comparison comparison NN 63372 889 25 coincide coincide NN 63372 889 26 at at IN 63372 889 27 the the DT 63372 889 28 same same JJ 63372 889 29 time time NN 63372 889 30 . . . 63372 890 1 The the DT 63372 890 2 observer observer NN 63372 890 3 can can MD 63372 890 4 not not RB 63372 890 5 be be VB 63372 890 6 present present JJ 63372 890 7 at at IN 63372 890 8 both both DT 63372 890 9 ends end VBZ 63372 890 10 simultaneously simultaneously RB 63372 890 11 ; ; : 63372 890 12 at at IN 63372 890 13 best best RB 63372 890 14 he -PRON- PRP 63372 890 15 can can MD 63372 890 16 only only RB 63372 890 17 be be VB 63372 890 18 present present JJ 63372 890 19 at at IN 63372 890 20 one one CD 63372 890 21 end end NN 63372 890 22 and and CC 63372 890 23 receive receive VB 63372 890 24 a a DT 63372 890 25 signal signal NN 63372 890 26 from from IN 63372 890 27 the the DT 63372 890 28 other other JJ 63372 890 29 end end NN 63372 890 30 . . . 63372 891 1 THE the DT 63372 891 2 PROBLEM problem NN 63372 891 3 OF of IN 63372 891 4 COMMUNICATION COMMUNICATION NNP 63372 891 5 Accordingly accordingly RB 63372 891 6 , , , 63372 891 7 in in IN 63372 891 8 making make VBG 63372 891 9 the the DT 63372 891 10 necessary necessary JJ 63372 891 11 assumptions assumption NNS 63372 891 12 to to TO 63372 891 13 cover cover VB 63372 891 14 the the DT 63372 891 15 matter matter NN 63372 891 16 of of IN 63372 891 17 measuring measure VBG 63372 891 18 lengths length NNS 63372 891 19 , , , 63372 891 20 we -PRON- PRP 63372 891 21 must must MD 63372 891 22 make make VB 63372 891 23 one one CD 63372 891 24 with with IN 63372 891 25 regard regard NN 63372 891 26 to to IN 63372 891 27 the the DT 63372 891 28 character character NN 63372 891 29 of of IN 63372 891 30 the the DT 63372 891 31 signals signal NNS 63372 891 32 which which WDT 63372 891 33 are be VBP 63372 891 34 to to TO 63372 891 35 be be VB 63372 891 36 employed employ VBN 63372 891 37 for for IN 63372 891 38 this this DT 63372 891 39 purpose purpose NN 63372 891 40 . . . 63372 892 1 If if IN 63372 892 2 we -PRON- PRP 63372 892 3 could could MD 63372 892 4 assume assume VB 63372 892 5 a a DT 63372 892 6 system system NN 63372 892 7 of of IN 63372 892 8 signalling signal VBG 63372 892 9 that that WDT 63372 892 10 would would MD 63372 892 11 consume consume VB 63372 892 12 no no DT 63372 892 13 time time NN 63372 892 14 in in IN 63372 892 15 transmission transmission NN 63372 892 16 all all DT 63372 892 17 would would MD 63372 892 18 be be VB 63372 892 19 simple simple JJ 63372 892 20 enough enough RB 63372 892 21 . . . 63372 893 1 But but CC 63372 893 2 we -PRON- PRP 63372 893 3 have have VBP 63372 893 4 no no DT 63372 893 5 experience experience NN 63372 893 6 with with IN 63372 893 7 such such PDT 63372 893 8 a a DT 63372 893 9 system system NN 63372 893 10 . . . 63372 894 1 Even even RB 63372 894 2 if if IN 63372 894 3 we -PRON- PRP 63372 894 4 believe believe VBP 63372 894 5 that that IN 63372 894 6 it -PRON- PRP 63372 894 7 ought ought MD 63372 894 8 to to TO 63372 894 9 be be VB 63372 894 10 possible possible JJ 63372 894 11 thus thus RB 63372 894 12 to to TO 63372 894 13 transmit transmit VB 63372 894 14 signals signal NNS 63372 894 15 at at IN 63372 894 16 infinite infinite JJ 63372 894 17 velocity velocity NN 63372 894 18 , , , 63372 894 19 we -PRON- PRP 63372 894 20 may may MD 63372 894 21 not not RB 63372 894 22 , , , 63372 894 23 in in IN 63372 894 24 the the DT 63372 894 25 absence absence NN 63372 894 26 of of IN 63372 894 27 our -PRON- PRP$ 63372 894 28 present present JJ 63372 894 29 ability ability NN 63372 894 30 to to TO 63372 894 31 do do VB 63372 894 32 this this DT 63372 894 33 , , , 63372 894 34 assume assume VB 63372 894 35 that that IN 63372 894 36 it -PRON- PRP 63372 894 37 is be VBZ 63372 894 38 possible possible JJ 63372 894 39 . . . 63372 895 1 So so RB 63372 895 2 we -PRON- PRP 63372 895 3 may may MD 63372 895 4 only only RB 63372 895 5 assume assume VB 63372 895 6 , , , 63372 895 7 with with IN 63372 895 8 Einstein Einstein NNP 63372 895 9 , , , 63372 895 10 that that IN 63372 895 11 for for IN 63372 895 12 our -PRON- PRP$ 63372 895 13 signals signal NNS 63372 895 14 we -PRON- PRP 63372 895 15 shall shall MD 63372 895 16 employ employ VB 63372 895 17 the the DT 63372 895 18 speediest speedy JJS 63372 895 19 messenger messenger NN 63372 895 20 with with IN 63372 895 21 which which WDT 63372 895 22 we -PRON- PRP 63372 895 23 are be VBP 63372 895 24 at at IN 63372 895 25 present present NN 63372 895 26 acquainted acquaint VBN 63372 895 27 . . . 63372 896 1 This this DT 63372 896 2 of of IN 63372 896 3 course course NN 63372 896 4 is be VBZ 63372 896 5 light light JJ 63372 896 6 , , , 63372 896 7 the the DT 63372 896 8 term term NN 63372 896 9 including include VBG 63372 896 10 any any DT 63372 896 11 of of IN 63372 896 12 the the DT 63372 896 13 electromagnetic electromagnetic JJ 63372 896 14 impulses impulse NNS 63372 896 15 that that WDT 63372 896 16 travel travel VBP 63372 896 17 at at IN 63372 896 18 the the DT 63372 896 19 speed speed NN 63372 896 20 $ $ $ 63372 896 21 C$ c$ $ 63372 896 22 . . . 63372 897 1 Of of RB 63372 897 2 course course RB 63372 897 3 in in IN 63372 897 4 the the DT 63372 897 5 vast vast JJ 63372 897 6 majority majority NN 63372 897 7 of of IN 63372 897 8 cases case NNS 63372 897 9 the the DT 63372 897 10 distance distance NN 63372 897 11 that that IN 63372 897 12 any any DT 63372 897 13 light light JJ 63372 897 14 signal signal NN 63372 897 15 in in IN 63372 897 16 which which WDT 63372 897 17 we -PRON- PRP 63372 897 18 are be VBP 63372 897 19 interested interested JJ 63372 897 20 must must MD 63372 897 21 go go VB 63372 897 22 to to TO 63372 897 23 reach reach VB 63372 897 24 us -PRON- PRP 63372 897 25 is be VBZ 63372 897 26 so so RB 63372 897 27 small small JJ 63372 897 28 that that IN 63372 897 29 the the DT 63372 897 30 time time NN 63372 897 31 taken take VBN 63372 897 32 by by IN 63372 897 33 its -PRON- PRP$ 63372 897 34 transmission transmission NN 63372 897 35 can can MD 63372 897 36 by by IN 63372 897 37 no no DT 63372 897 38 means means NN 63372 897 39 be be VB 63372 897 40 measured measure VBN 63372 897 41 . . . 63372 898 1 We -PRON- PRP 63372 898 2 are be VBP 63372 898 3 then then RB 63372 898 4 , , , 63372 898 5 to to IN 63372 898 6 all all DT 63372 898 7 intents intent NNS 63372 898 8 and and CC 63372 898 9 purposes purpose NNS 63372 898 10 , , , 63372 898 11 at at IN 63372 898 12 both both DT 63372 898 13 places place NNS 63372 898 14 -- -- : 63372 898 15 the the DT 63372 898 16 point point NN 63372 898 17 of of IN 63372 898 18 origin origin NN 63372 898 19 of of IN 63372 898 20 the the DT 63372 898 21 signal signal NN 63372 898 22 and and CC 63372 898 23 the the DT 63372 898 24 point point NN 63372 898 25 of of IN 63372 898 26 receipt receipt NN 63372 898 27 -- -- : 63372 898 28 simultaneously simultaneously RB 63372 898 29 . . . 63372 899 1 But but CC 63372 899 2 this this DT 63372 899 3 is be VBZ 63372 899 4 not not RB 63372 899 5 the the DT 63372 899 6 question question NN 63372 899 7 at at RB 63372 899 8 all all RB 63372 899 9 . . . 63372 900 1 Waiving waive VBG 63372 900 2 the the DT 63372 900 3 fact fact NN 63372 900 4 that that IN 63372 900 5 in in IN 63372 900 6 astronomical astronomical JJ 63372 900 7 investigations investigation NNS 63372 900 8 this this DT 63372 900 9 approximation approximation NN 63372 900 10 no no RB 63372 900 11 longer long RBR 63372 900 12 holds hold VBZ 63372 900 13 , , , 63372 900 14 the the DT 63372 900 15 fact fact NN 63372 900 16 remains remain VBZ 63372 900 17 that that IN 63372 900 18 it -PRON- PRP 63372 900 19 is be VBZ 63372 900 20 , , , 63372 900 21 in in IN 63372 900 22 every every DT 63372 900 23 case case NN 63372 900 24 , , , 63372 900 25 merely merely RB 63372 900 26 an an DT 63372 900 27 approximation approximation NN 63372 900 28 . . . 63372 901 1 Approximations approximation NNS 63372 901 2 are be VBP 63372 901 3 all all RB 63372 901 4 right right JJ 63372 901 5 in in IN 63372 901 6 observations observation NNS 63372 901 7 , , , 63372 901 8 where where WRB 63372 901 9 we -PRON- PRP 63372 901 10 know know VBP 63372 901 11 that that IN 63372 901 12 they -PRON- PRP 63372 901 13 are be VBP 63372 901 14 approximations approximation NNS 63372 901 15 and and CC 63372 901 16 act act VB 63372 901 17 accordingly accordingly RB 63372 901 18 . . . 63372 902 1 But but CC 63372 902 2 in in IN 63372 902 3 the the DT 63372 902 4 conceptual conceptual JJ 63372 902 5 universe universe NN 63372 902 6 that that WDT 63372 902 7 parallels parallel VBZ 63372 902 8 the the DT 63372 902 9 external external JJ 63372 902 10 reality reality NN 63372 902 11 , , , 63372 902 12 computation computation NN 63372 902 13 is be VBZ 63372 902 14 as as RB 63372 902 15 good good JJ 63372 902 16 an an DT 63372 902 17 agent agent NN 63372 902 18 of of IN 63372 902 19 observation observation NN 63372 902 20 as as IN 63372 902 21 visual visual JJ 63372 902 22 or or CC 63372 902 23 auditory auditory JJ 63372 902 24 or or CC 63372 902 25 tactile tactile JJ 63372 902 26 sensation sensation NN 63372 902 27 ; ; : 63372 902 28 if if IN 63372 902 29 we -PRON- PRP 63372 902 30 can can MD 63372 902 31 compute compute VB 63372 902 32 the the DT 63372 902 33 error error NN 63372 902 34 involved involve VBN 63372 902 35 in in IN 63372 902 36 a a DT 63372 902 37 wrong wrong JJ 63372 902 38 procedure procedure NN 63372 902 39 the the DT 63372 902 40 error error NN 63372 902 41 is be VBZ 63372 902 42 there there RB 63372 902 43 , , , 63372 902 44 regardless regardless RB 63372 902 45 of of IN 63372 902 46 whether whether IN 63372 902 47 we -PRON- PRP 63372 902 48 can can MD 63372 902 49 see see VB 63372 902 50 it -PRON- PRP 63372 902 51 or or CC 63372 902 52 not not RB 63372 902 53 . . . 63372 903 1 We -PRON- PRP 63372 903 2 must must MD 63372 903 3 have have VB 63372 903 4 methods method NNS 63372 903 5 which which WDT 63372 903 6 are be VBP 63372 903 7 conceptually conceptually RB 63372 903 8 free free JJ 63372 903 9 from from IN 63372 903 10 error error NN 63372 903 11 ; ; : 63372 903 12 and and CC 63372 903 13 if if IN 63372 903 14 we -PRON- PRP 63372 903 15 attempt attempt VBP 63372 903 16 to to TO 63372 903 17 ignore ignore VB 63372 903 18 the the DT 63372 903 19 velocity velocity NN 63372 903 20 of of IN 63372 903 21 our -PRON- PRP$ 63372 903 22 light light JJ 63372 903 23 signals signal NNS 63372 903 24 we -PRON- PRP 63372 903 25 do do VBP 63372 903 26 not not RB 63372 903 27 meet meet VB 63372 903 28 this this DT 63372 903 29 condition condition NN 63372 903 30 . . . 63372 904 1 The the DT 63372 904 2 measurement measurement NN 63372 904 3 of of IN 63372 904 4 lengths length NNS 63372 904 5 demands demand VBZ 63372 904 6 that that IN 63372 904 7 we -PRON- PRP 63372 904 8 have have VBP 63372 904 9 a a DT 63372 904 10 criterion criterion NN 63372 904 11 of of IN 63372 904 12 simultaneity simultaneity NN 63372 904 13 between between IN 63372 904 14 two two CD 63372 904 15 remote remote JJ 63372 904 16 points point NNS 63372 904 17 -- -- : 63372 904 18 remote remote JJ 63372 904 19 in in IN 63372 904 20 inches inch NNS 63372 904 21 or or CC 63372 904 22 remote remote JJ 63372 904 23 in in IN 63372 904 24 light light NN 63372 904 25 - - HYPH 63372 904 26 years year NNS 63372 904 27 , , , 63372 904 28 it -PRON- PRP 63372 904 29 does do VBZ 63372 904 30 not not RB 63372 904 31 matter matter VB 63372 904 32 which which WDT 63372 904 33 . . . 63372 905 1 There there EX 63372 905 2 is be VBZ 63372 905 3 no no DT 63372 905 4 difficulty difficulty NN 63372 905 5 in in IN 63372 905 6 defining define VBG 63372 905 7 simultaneity simultaneity NN 63372 905 8 of of IN 63372 905 9 two two CD 63372 905 10 events event NNS 63372 905 11 that that WDT 63372 905 12 fall fall VBP 63372 905 13 in in IN 63372 905 14 the the DT 63372 905 15 same same JJ 63372 905 16 point point NN 63372 905 17 -- -- : 63372 905 18 or or CC 63372 905 19 rather rather RB 63372 905 20 , , , 63372 905 21 in in IN 63372 905 22 agreeing agree VBG 63372 905 23 that that IN 63372 905 24 we -PRON- PRP 63372 905 25 know know VBP 63372 905 26 what what WP 63372 905 27 we -PRON- PRP 63372 905 28 mean mean VBP 63372 905 29 by by IN 63372 905 30 such such JJ 63372 905 31 simultaneity simultaneity NN 63372 905 32 . . . 63372 906 1 But but CC 63372 906 2 with with IN 63372 906 3 regard regard NN 63372 906 4 to to IN 63372 906 5 two two CD 63372 906 6 events event NNS 63372 906 7 that that WDT 63372 906 8 occur occur VBP 63372 906 9 in in IN 63372 906 10 remote remote JJ 63372 906 11 places place NNS 63372 906 12 there there EX 63372 906 13 may may MD 63372 906 14 be be VB 63372 906 15 a a DT 63372 906 16 question question NN 63372 906 17 . . . 63372 907 1 A a DT 63372 907 2 scientific scientific JJ 63372 907 3 definition definition NN 63372 907 4 differs differ VBZ 63372 907 5 from from IN 63372 907 6 a a DT 63372 907 7 mere mere JJ 63372 907 8 description description NN 63372 907 9 in in IN 63372 907 10 that that IN 63372 907 11 it -PRON- PRP 63372 907 12 must must MD 63372 907 13 afford afford VB 63372 907 14 us -PRON- PRP 63372 907 15 a a DT 63372 907 16 means means NN 63372 907 17 of of IN 63372 907 18 testing testing NN 63372 907 19 whether whether IN 63372 907 20 a a DT 63372 907 21 given give VBN 63372 907 22 item item NN 63372 907 23 comes come VBZ 63372 907 24 under under IN 63372 907 25 the the DT 63372 907 26 definition definition NN 63372 907 27 or or CC 63372 907 28 not not RB 63372 907 29 . . . 63372 908 1 There there EX 63372 908 2 is be VBZ 63372 908 3 some some DT 63372 908 4 difficulty difficulty NN 63372 908 5 in in IN 63372 908 6 setting set VBG 63372 908 7 up up RP 63372 908 8 a a DT 63372 908 9 definition definition NN 63372 908 10 of of IN 63372 908 11 simultaneity simultaneity NN 63372 908 12 between between IN 63372 908 13 distant distant JJ 63372 908 14 events event NNS 63372 908 15 that that WDT 63372 908 16 satisfies satisfie NNS 63372 908 17 this this DT 63372 908 18 requirement requirement NN 63372 908 19 . . . 63372 909 1 If if IN 63372 909 2 we -PRON- PRP 63372 909 3 try try VBP 63372 909 4 simply simply RB 63372 909 5 to to TO 63372 909 6 fall fall VB 63372 909 7 back back RB 63372 909 8 upon upon IN 63372 909 9 our -PRON- PRP$ 63372 909 10 inherent inherent JJ 63372 909 11 ideas idea NNS 63372 909 12 of of IN 63372 909 13 what what WP 63372 909 14 we -PRON- PRP 63372 909 15 mean mean VBP 63372 909 16 by by IN 63372 909 17 " " `` 63372 909 18 the the DT 63372 909 19 same same JJ 63372 909 20 instant instant NN 63372 909 21 " " `` 63372 909 22 we -PRON- PRP 63372 909 23 see see VBP 63372 909 24 that that IN 63372 909 25 this this DT 63372 909 26 is be VBZ 63372 909 27 not not RB 63372 909 28 adequate adequate JJ 63372 909 29 . . . 63372 910 1 We -PRON- PRP 63372 910 2 must must MD 63372 910 3 lay lay VB 63372 910 4 down down RP 63372 910 5 a a DT 63372 910 6 procedure procedure NN 63372 910 7 for for IN 63372 910 8 determining determine VBG 63372 910 9 whether whether IN 63372 910 10 two two CD 63372 910 11 events event NNS 63372 910 12 at at IN 63372 910 13 remote remote JJ 63372 910 14 points point NNS 63372 910 15 occur occur VBP 63372 910 16 at at IN 63372 910 17 " " `` 63372 910 18 the the DT 63372 910 19 same same JJ 63372 910 20 instant instant NN 63372 910 21 , , , 63372 910 22 " " '' 63372 910 23 and and CC 63372 910 24 check check VB 63372 910 25 up up RP 63372 910 26 alleged alleged JJ 63372 910 27 simultaneity simultaneity NN 63372 910 28 by by IN 63372 910 29 means mean NNS 63372 910 30 of of IN 63372 910 31 this this DT 63372 910 32 procedure procedure NN 63372 910 33 . . . 63372 911 1 Einstein Einstein NNP 63372 911 2 says say VBZ 63372 911 3 , , , 63372 911 4 and and CC 63372 911 5 we -PRON- PRP 63372 911 6 must must MD 63372 911 7 agree agree VB 63372 911 8 with with IN 63372 911 9 him -PRON- PRP 63372 911 10 , , , 63372 911 11 that that IN 63372 911 12 he -PRON- PRP 63372 911 13 can can MD 63372 911 14 find find VB 63372 911 15 but but CC 63372 911 16 one one CD 63372 911 17 reasonable reasonable JJ 63372 911 18 definition definition NN 63372 911 19 to to TO 63372 911 20 cover cover VB 63372 911 21 this this DT 63372 911 22 ground ground NN 63372 911 23 . . . 63372 912 1 An an DT 63372 912 2 observer observer NN 63372 912 3 can can MD 63372 912 4 tell tell VB 63372 912 5 whether whether IN 63372 912 6 he -PRON- PRP 63372 912 7 is be VBZ 63372 912 8 located locate VBN 63372 912 9 half half JJ 63372 912 10 way way NN 63372 912 11 between between IN 63372 912 12 two two CD 63372 912 13 points point NNS 63372 912 14 of of IN 63372 912 15 his -PRON- PRP$ 63372 912 16 observation observation NN 63372 912 17 ; ; : 63372 912 18 he -PRON- PRP 63372 912 19 can can MD 63372 912 20 have have VB 63372 912 21 mirrors mirror NNS 63372 912 22 set set VBN 63372 912 23 up up RP 63372 912 24 at at IN 63372 912 25 these these DT 63372 912 26 points point NNS 63372 912 27 , , , 63372 912 28 send send VB 63372 912 29 out out RP 63372 912 30 light light NN 63372 912 31 - - HYPH 63372 912 32 signals signal NNS 63372 912 33 , , , 63372 912 34 and and CC 63372 912 35 note note VB 63372 912 36 the the DT 63372 912 37 time time NN 63372 912 38 at at IN 63372 912 39 which which WDT 63372 912 40 he -PRON- PRP 63372 912 41 gets get VBZ 63372 912 42 back back RB 63372 912 43 the the DT 63372 912 44 reflection reflection NN 63372 912 45 . . . 63372 913 1 He -PRON- PRP 63372 913 2 knows know VBZ 63372 913 3 that that IN 63372 913 4 the the DT 63372 913 5 velocity velocity NN 63372 913 6 of of IN 63372 913 7 both both DT 63372 913 8 signals signal NNS 63372 913 9 , , , 63372 913 10 going go VBG 63372 913 11 and and CC 63372 913 12 coming come VBG 63372 913 13 , , , 63372 913 14 is be VBZ 63372 913 15 the the DT 63372 913 16 same same JJ 63372 913 17 ; ; : 63372 913 18 if if IN 63372 913 19 he -PRON- PRP 63372 913 20 observes observe VBZ 63372 913 21 that that IN 63372 913 22 they -PRON- PRP 63372 913 23 return return VBP 63372 913 24 to to IN 63372 913 25 him -PRON- PRP 63372 913 26 together together RB 63372 913 27 so so IN 63372 913 28 that that IN 63372 913 29 their -PRON- PRP$ 63372 913 30 time time NN 63372 913 31 of of IN 63372 913 32 transit transit NN 63372 913 33 for for IN 63372 913 34 the the DT 63372 913 35 round round JJ 63372 913 36 trip trip NN 63372 913 37 is be VBZ 63372 913 38 the the DT 63372 913 39 same same JJ 63372 913 40 , , , 63372 913 41 he -PRON- PRP 63372 913 42 must must MD 63372 913 43 accept accept VB 63372 913 44 the the DT 63372 913 45 distances distance NNS 63372 913 46 as as IN 63372 913 47 equal equal JJ 63372 913 48 . . . 63372 914 1 He -PRON- PRP 63372 914 2 is be VBZ 63372 914 3 then then RB 63372 914 4 at at IN 63372 914 5 the the DT 63372 914 6 mid mid NN 63372 914 7 - - NN 63372 914 8 point point NN 63372 914 9 of of IN 63372 914 10 the the DT 63372 914 11 line line NN 63372 914 12 joining join VBG 63372 914 13 the the DT 63372 914 14 two two CD 63372 914 15 points point NNS 63372 914 16 under under IN 63372 914 17 observation observation NN 63372 914 18 ; ; : 63372 914 19 and and CC 63372 914 20 he -PRON- PRP 63372 914 21 may may MD 63372 914 22 define define VB 63372 914 23 simultaneity simultaneity NN 63372 914 24 as as IN 63372 914 25 follows follow VBZ 63372 914 26 , , , 63372 914 27 without without IN 63372 914 28 introducing introduce VBG 63372 914 29 anything anything NN 63372 914 30 new new JJ 63372 914 31 or or CC 63372 914 32 indeterminate indeterminate JJ 63372 914 33 : : : 63372 914 34 Two two CD 63372 914 35 events event NNS 63372 914 36 are be VBP 63372 914 37 simultaneous simultaneous JJ 63372 914 38 if if IN 63372 914 39 an an DT 63372 914 40 observer observer NN 63372 914 41 midway midway NN 63372 914 42 between between IN 63372 914 43 them -PRON- PRP 63372 914 44 sees see VBZ 63372 914 45 them -PRON- PRP 63372 914 46 at at IN 63372 914 47 the the DT 63372 914 48 same same JJ 63372 914 49 instant instant NN 63372 914 50 , , , 63372 914 51 by by IN 63372 914 52 means mean NNS 63372 914 53 , , , 63372 914 54 of of IN 63372 914 55 course course NN 63372 914 56 , , , 63372 914 57 of of IN 63372 914 58 light light NN 63372 914 59 originating originate VBG 63372 914 60 at at IN 63372 914 61 the the DT 63372 914 62 points point NNS 63372 914 63 of of IN 63372 914 64 occurrence occurrence NN 63372 914 65 . . . 63372 915 1 ] ] -RRB- 63372 915 2 * * NFP 63372 915 3 [ [ -LRB- 63372 915 4 It -PRON- PRP 63372 915 5 is be VBZ 63372 915 6 this this DT 63372 915 7 definition definition NN 63372 915 8 of of IN 63372 915 9 simultaneity simultaneity NN 63372 915 10 , , , 63372 915 11 coupled couple VBN 63372 915 12 with with IN 63372 915 13 the the DT 63372 915 14 assumption assumption NN 63372 915 15 that that IN 63372 915 16 all all DT 63372 915 17 observers observer NNS 63372 915 18 , , , 63372 915 19 on on IN 63372 915 20 whatever whatever WDT 63372 915 21 uniformly uniformly JJ 63372 915 22 moving move VBG 63372 915 23 systems system NNS 63372 915 24 , , , 63372 915 25 would would MD 63372 915 26 obtain obtain VB 63372 915 27 the the DT 63372 915 28 same same JJ 63372 915 29 experimental experimental JJ 63372 915 30 value value NN 63372 915 31 for for IN 63372 915 32 the the DT 63372 915 33 velocity velocity NN 63372 915 34 of of IN 63372 915 35 light light NN 63372 915 36 , , , 63372 915 37 that that WDT 63372 915 38 leads lead VBZ 63372 915 39 to to IN 63372 915 40 the the DT 63372 915 41 apparent apparent JJ 63372 915 42 paradoxes paradox NNS 63372 915 43 of of IN 63372 915 44 the the DT 63372 915 45 Special Special NNP 63372 915 46 Theory Theory NNP 63372 915 47 of of IN 63372 915 48 Relativity Relativity NNP 63372 915 49 . . . 63372 916 1 If if IN 63372 916 2 it -PRON- PRP 63372 916 3 be be VB 63372 916 4 asked ask VBN 63372 916 5 why why WRB 63372 916 6 we -PRON- PRP 63372 916 7 adopt adopt VBP 63372 916 8 it -PRON- PRP 63372 916 9 , , , 63372 916 10 we -PRON- PRP 63372 916 11 must must MD 63372 916 12 in in IN 63372 916 13 turn turn NN 63372 916 14 ask ask VB 63372 916 15 the the DT 63372 916 16 inquirer inquirer NN 63372 916 17 to to TO 63372 916 18 propose propose VB 63372 916 19 a a DT 63372 916 20 better well JJR 63372 916 21 system system NN 63372 916 22 for for IN 63372 916 23 defining define VBG 63372 916 24 simultaneous simultaneous JJ 63372 916 25 events event NNS 63372 916 26 on on IN 63372 916 27 different different JJ 63372 916 28 moving move VBG 63372 916 29 bodies body NNS 63372 916 30 . . . 63372 917 1 ] ] -RRB- 63372 917 2 198 198 CD 63372 917 3 [ [ -LRB- 63372 917 4 There there EX 63372 917 5 is be VBZ 63372 917 6 nothing nothing NN 63372 917 7 in in IN 63372 917 8 this this DT 63372 917 9 definition definition NN 63372 917 10 to to TO 63372 917 11 indicate indicate VB 63372 917 12 , , , 63372 917 13 directly directly RB 63372 917 14 , , , 63372 917 15 whether whether IN 63372 917 16 simultaneity simultaneity NN 63372 917 17 persists persist VBZ 63372 917 18 for for IN 63372 917 19 all all DT 63372 917 20 observers observer NNS 63372 917 21 , , , 63372 917 22 or or CC 63372 917 23 whether whether IN 63372 917 24 it -PRON- PRP 63372 917 25 is be VBZ 63372 917 26 relative relative JJ 63372 917 27 , , , 63372 917 28 so so IN 63372 917 29 that that IN 63372 917 30 events event NNS 63372 917 31 simultaneous simultaneous JJ 63372 917 32 to to IN 63372 917 33 one one CD 63372 917 34 observer observer NN 63372 917 35 are be VBP 63372 917 36 not not RB 63372 917 37 so so RB 63372 917 38 to to IN 63372 917 39 another another DT 63372 917 40 . . . 63372 918 1 The the DT 63372 918 2 question question NN 63372 918 3 must must MD 63372 918 4 then then RB 63372 918 5 be be VB 63372 918 6 investigated investigate VBN 63372 918 7 ; ; : 63372 918 8 and and CC 63372 918 9 the the DT 63372 918 10 answer answer NN 63372 918 11 , , , 63372 918 12 of of IN 63372 918 13 course course NN 63372 918 14 , , , 63372 918 15 will will MD 63372 918 16 hinge hinge VB 63372 918 17 upon upon IN 63372 918 18 the the DT 63372 918 19 possibility possibility NN 63372 918 20 of of IN 63372 918 21 making make VBG 63372 918 22 proper proper JJ 63372 918 23 allowances allowance NNS 63372 918 24 for for IN 63372 918 25 the the DT 63372 918 26 time time NN 63372 918 27 of of IN 63372 918 28 transit transit NN 63372 918 29 of of IN 63372 918 30 the the DT 63372 918 31 light light JJ 63372 918 32 signals signal NNS 63372 918 33 that that WDT 63372 918 34 may may MD 63372 918 35 be be VB 63372 918 36 involved involve VBN 63372 918 37 . . . 63372 919 1 It -PRON- PRP 63372 919 2 seems seem VBZ 63372 919 3 as as IN 63372 919 4 though though IN 63372 919 5 this this DT 63372 919 6 ought ought MD 63372 919 7 to to TO 63372 919 8 be be VB 63372 919 9 possible possible JJ 63372 919 10 ; ; : 63372 919 11 but but CC 63372 919 12 a a DT 63372 919 13 simple simple JJ 63372 919 14 experiment experiment NN 63372 919 15 will will MD 63372 919 16 indicate indicate VB 63372 919 17 that that IN 63372 919 18 it -PRON- PRP 63372 919 19 is be VBZ 63372 919 20 not not RB 63372 919 21 , , , 63372 919 22 unless unless IN 63372 919 23 the the DT 63372 919 24 observers observer NNS 63372 919 25 involved involve VBN 63372 919 26 are be VBP 63372 919 27 at at IN 63372 919 28 rest rest NN 63372 919 29 with with IN 63372 919 30 respect respect NN 63372 919 31 to to IN 63372 919 32 one one CD 63372 919 33 another another DT 63372 919 34 . . . 63372 920 1 AN an DT 63372 920 2 EINSTEINIAN EINSTEINIAN NNP 63372 920 3 EXPERIMENT experiment NN 63372 920 4 Let Let VBD 63372 920 5 us -PRON- PRP 63372 920 6 imagine imagine VB 63372 920 7 an an DT 63372 920 8 indefinitely indefinitely RB 63372 920 9 long long JJ 63372 920 10 , , , 63372 920 11 straight straight JJ 63372 920 12 railroad railroad NN 63372 920 13 track track NN 63372 920 14 , , , 63372 920 15 with with IN 63372 920 16 an an DT 63372 920 17 observer observer NN 63372 920 18 located locate VBN 63372 920 19 somewhere somewhere RB 63372 920 20 along along IN 63372 920 21 it -PRON- PRP 63372 920 22 at at IN 63372 920 23 the the DT 63372 920 24 point point NN 63372 920 25 $ $ $ 63372 920 26 M$. m$. NN 63372 921 1 According accord VBG 63372 921 2 to to IN 63372 921 3 the the DT 63372 921 4 convention convention NN 63372 921 5 suggested suggest VBN 63372 921 6 above above RB 63372 921 7 , , , 63372 921 8 he -PRON- PRP 63372 921 9 has have VBZ 63372 921 10 determined determine VBN 63372 921 11 points point NNS 63372 921 12 $ $ $ 63372 921 13 A$ a$ $ 63372 921 14 and and CC 63372 921 15 $ $ $ 63372 921 16 B$ B$ NNS 63372 921 17 in in IN 63372 921 18 opposite opposite JJ 63372 921 19 directions direction NNS 63372 921 20 from from IN 63372 921 21 him -PRON- PRP 63372 921 22 along along IN 63372 921 23 the the DT 63372 921 24 track track NN 63372 921 25 , , , 63372 921 26 and and CC 63372 921 27 equally equally RB 63372 921 28 distant distant JJ 63372 921 29 from from IN 63372 921 30 him -PRON- PRP 63372 921 31 . . . 63372 922 1 We -PRON- PRP 63372 922 2 shall shall MD 63372 922 3 imagine imagine VB 63372 922 4 , , , 63372 922 5 further further RB 63372 922 6 , , , 63372 922 7 than than IN 63372 922 8 a a DT 63372 922 9 beneficent beneficent JJ 63372 922 10 Providence Providence NNP 63372 922 11 supplies supply VBZ 63372 922 12 two two CD 63372 922 13 lightning lightning NN 63372 922 14 flashes flash NNS 63372 922 15 , , , 63372 922 16 one one CD 63372 922 17 striking strike VBG 63372 922 18 at at IN 63372 922 19 $ $ $ 63372 922 20 A$ a$ $ 63372 922 21 and and CC 63372 922 22 one one CD 63372 922 23 at at IN 63372 922 24 $ $ $ 63372 922 25 B$ B$ NNS 63372 922 26 , , , 63372 922 27 in in IN 63372 922 28 such such PDT 63372 922 29 a a DT 63372 922 30 way way NN 63372 922 31 that that WDT 63372 922 32 observer observer VBP 63372 922 33 $ $ $ 63372 922 34 M$ M$ NNP 63372 922 35 finds find VBZ 63372 922 36 them -PRON- PRP 63372 922 37 to to TO 63372 922 38 be be VB 63372 922 39 simultaneous simultaneous JJ 63372 922 40 . . . 63372 923 1 While while IN 63372 923 2 all all PDT 63372 923 3 this this DT 63372 923 4 is be VBZ 63372 923 5 going go VBG 63372 923 6 on on RP 63372 923 7 , , , 63372 923 8 a a DT 63372 923 9 train train NN 63372 923 10 is be VBZ 63372 923 11 passing pass VBG 63372 923 12 -- -- : 63372 923 13 a a DT 63372 923 14 very very RB 63372 923 15 long long JJ 63372 923 16 train train NN 63372 923 17 , , , 63372 923 18 amply amply RB 63372 923 19 long long RB 63372 923 20 enough enough RB 63372 923 21 to to TO 63372 923 22 overlap overlap VB 63372 923 23 the the DT 63372 923 24 section section NN 63372 923 25 $ $ $ 63372 923 26 AMB$ AMB$ NNS 63372 923 27 of of IN 63372 923 28 the the DT 63372 923 29 track track NN 63372 923 30 . . . 63372 924 1 Among among IN 63372 924 2 the the DT 63372 924 3 passengers passenger NNS 63372 924 4 there there RB 63372 924 5 is be VBZ 63372 924 6 one one CD 63372 924 7 , , , 63372 924 8 whom whom WP 63372 924 9 we -PRON- PRP 63372 924 10 may may MD 63372 924 11 call call VB 63372 924 12 $ $ $ 63372 924 13 M'$ m'$ UH 63372 924 14 , , , 63372 924 15 who who WP 63372 924 16 is be VBZ 63372 924 17 directly directly RB 63372 924 18 opposite opposite JJ 63372 924 19 $ $ $ 63372 924 20 M$ m$ NN 63372 924 21 at at IN 63372 924 22 the the DT 63372 924 23 instant instant NN 63372 924 24 when when WRB 63372 924 25 , , , 63372 924 26 according accord VBG 63372 924 27 to to IN 63372 924 28 $ $ $ 63372 924 29 M$ M$ NNP 63372 924 30 , , , 63372 924 31 the the DT 63372 924 32 lightning lightning NN 63372 924 33 strikes strike VBZ 63372 924 34 . . . 63372 925 1 Observe observe VB 63372 925 2 he -PRON- PRP 63372 925 3 is be VBZ 63372 925 4 not not RB 63372 925 5 opposite opposite JJ 63372 925 6 $ $ $ 63372 925 7 M$ m$ NN 63372 925 8 when when WRB 63372 925 9 $ $ $ 63372 925 10 M$ m$ NN 63372 925 11 sees see VBZ 63372 925 12 the the DT 63372 925 13 flashes flash NNS 63372 925 14 , , , 63372 925 15 but but CC 63372 925 16 a a DT 63372 925 17 brief brief JJ 63372 925 18 time time NN 63372 925 19 earlier early RBR 63372 925 20 -- -- : 63372 925 21 at at IN 63372 925 22 the the DT 63372 925 23 instant instant NN 63372 925 24 when when WRB 63372 925 25 , , , 63372 925 26 according accord VBG 63372 925 27 to to IN 63372 925 28 $ $ $ 63372 925 29 M$ M$ NNP 63372 925 30 's 's POS 63372 925 31 computation computation NN 63372 925 32 , , , 63372 925 33 the the DT 63372 925 34 simultaneous simultaneous JJ 63372 925 35 flashes flash NNS 63372 925 36 occurred occur VBD 63372 925 37 . . . 63372 926 1 At at IN 63372 926 2 this this DT 63372 926 3 instant instant NN 63372 926 4 there there EX 63372 926 5 are be VBP 63372 926 6 definitely definitely RB 63372 926 7 determined determine VBN 63372 926 8 the the DT 63372 926 9 points point NNS 63372 926 10 $ $ $ 63372 926 11 A'$ a'$ NN 63372 926 12 and and CC 63372 926 13 $ $ $ 63372 926 14 B'$ B'$ NNS 63372 926 15 , , , 63372 926 16 on on IN 63372 926 17 the the DT 63372 926 18 train train NN 63372 926 19 ; ; : 63372 926 20 and and CC 63372 926 21 since since IN 63372 926 22 we -PRON- PRP 63372 926 23 may may MD 63372 926 24 quite quite RB 63372 926 25 well well RB 63372 926 26 think think VB 63372 926 27 of of IN 63372 926 28 the the DT 63372 926 29 two two CD 63372 926 30 systems system NNS 63372 926 31 -- -- : 63372 926 32 train train NN 63372 926 33 - - HYPH 63372 926 34 system system NN 63372 926 35 and and CC 63372 926 36 track track NN 63372 926 37 - - HYPH 63372 926 38 system system NN 63372 926 39 -- -- : 63372 926 40 as as IN 63372 926 41 in in IN 63372 926 42 coincidence coincidence NN 63372 926 43 at at IN 63372 926 44 this this DT 63372 926 45 instant instant NN 63372 926 46 , , , 63372 926 47 $ $ $ 63372 926 48 M'$ m'$ NN 63372 926 49 is be VBZ 63372 926 50 midway midway RB 63372 926 51 between between IN 63372 926 52 $ $ $ 63372 926 53 A'$ a'$ NN 63372 926 54 and and CC 63372 926 55 $ $ $ 63372 926 56 B'$ B'$ NNS 63372 926 57 , , , 63372 926 58 and and CC 63372 926 59 likewise likewise RB 63372 926 60 is be VBZ 63372 926 61 midway midway RB 63372 926 62 between between IN 63372 926 63 $ $ $ 63372 926 64 A$ a$ $ 63372 926 65 and and CC 63372 926 66 $ $ $ 63372 926 67 B$. b$. NN 63372 927 1 Now now RB 63372 927 2 if if IN 63372 927 3 we -PRON- PRP 63372 927 4 think think VBP 63372 927 5 of of IN 63372 927 6 the the DT 63372 927 7 train train NN 63372 927 8 as as IN 63372 927 9 moving move VBG 63372 927 10 over over IN 63372 927 11 the the DT 63372 927 12 track track NN 63372 927 13 in in IN 63372 927 14 the the DT 63372 927 15 direction direction NN 63372 927 16 of of IN 63372 927 17 the the DT 63372 927 18 arrow arrow NN 63372 927 19 , , , 63372 927 20 we -PRON- PRP 63372 927 21 see see VBP 63372 927 22 very very RB 63372 927 23 easily easily RB 63372 927 24 that that IN 63372 927 25 $ $ $ 63372 927 26 M'$ M'$ NNP 63372 927 27 is be VBZ 63372 927 28 running run VBG 63372 927 29 away away RB 63372 927 30 from from IN 63372 927 31 the the DT 63372 927 32 light light NN 63372 927 33 from from IN 63372 927 34 $ $ $ 63372 927 35 A$ A$ NNS 63372 927 36 and and CC 63372 927 37 toward toward IN 63372 927 38 that that DT 63372 927 39 from from IN 63372 927 40 $ $ $ 63372 927 41 B$ b$ NN 63372 927 42 , , , 63372 927 43 and and CC 63372 927 44 that that IN 63372 927 45 , , , 63372 927 46 despite despite IN 63372 927 47 -- -- : 63372 927 48 or or CC 63372 927 49 if if IN 63372 927 50 you -PRON- PRP 63372 927 51 prefer prefer VBP 63372 927 52 because because IN 63372 927 53 of of IN 63372 927 54 -- -- : 63372 927 55 the the DT 63372 927 56 uniform uniform JJ 63372 927 57 velocity velocity NN 63372 927 58 of of IN 63372 927 59 these these DT 63372 927 60 light light JJ 63372 927 61 signals signal NNS 63372 927 62 , , , 63372 927 63 the the DT 63372 927 64 one one CD 63372 927 65 from from IN 63372 927 66 $ $ $ 63372 927 67 B$ B$ NNP 63372 927 68 reaches reach VBZ 63372 927 69 him -PRON- PRP 63372 927 70 , , , 63372 927 71 over over IN 63372 927 72 a a DT 63372 927 73 slightly slightly RB 63372 927 74 shorter short JJR 63372 927 75 course course NN 63372 927 76 , , , 63372 927 77 sooner soon RBR 63372 927 78 than than IN 63372 927 79 the the DT 63372 927 80 one one CD 63372 927 81 from from IN 63372 927 82 $ $ $ 63372 927 83 A$ A$ NNS 63372 927 84 , , , 63372 927 85 over over IN 63372 927 86 the the DT 63372 927 87 slightly slightly RB 63372 927 88 longer long JJR 63372 927 89 course course NN 63372 927 90 . . . 63372 928 1 When when WRB 63372 928 2 the the DT 63372 928 3 light light NN 63372 928 4 signals signal NNS 63372 928 5 reach reach VBP 63372 928 6 $ $ $ 63372 928 7 M$ m$ NN 63372 928 8 , , , 63372 928 9 $ $ $ 63372 928 10 M'$ m'$ NN 63372 928 11 is be VBZ 63372 928 12 no no RB 63372 928 13 longer longer RB 63372 928 14 abreast abreast JJ 63372 928 15 of of IN 63372 928 16 him -PRON- PRP 63372 928 17 but but CC 63372 928 18 has have VBZ 63372 928 19 moved move VBN 63372 928 20 along along IN 63372 928 21 a a DT 63372 928 22 wee wee JJ 63372 928 23 bit bit NN 63372 928 24 , , , 63372 928 25 so so IN 63372 928 26 that that IN 63372 928 27 at at IN 63372 928 28 this this DT 63372 928 29 instant instant NN 63372 928 30 when when WRB 63372 928 31 $ $ $ 63372 928 32 M$ M$ NNP 63372 928 33 has have VBZ 63372 928 34 the the DT 63372 928 35 two two CD 63372 928 36 signals signal NNS 63372 928 37 , , , 63372 928 38 one one CD 63372 928 39 of of IN 63372 928 40 these these DT 63372 928 41 has have VBZ 63372 928 42 passed pass VBN 63372 928 43 $ $ $ 63372 928 44 M'$ M'$ NNS 63372 928 45 and and CC 63372 928 46 the the DT 63372 928 47 other other JJ 63372 928 48 has have VBZ 63372 928 49 yet yet RB 63372 928 50 to to TO 63372 928 51 reach reach VB 63372 928 52 him -PRON- PRP 63372 928 53 . . . 63372 929 1 The the DT 63372 929 2 upshot upshot NN 63372 929 3 is be VBZ 63372 929 4 that that IN 63372 929 5 the the DT 63372 929 6 events event NNS 63372 929 7 which which WDT 63372 929 8 were be VBD 63372 929 9 simultaneous simultaneous JJ 63372 929 10 to to IN 63372 929 11 $ $ $ 63372 929 12 M$ m$ NN 63372 929 13 are be VBP 63372 929 14 not not RB 63372 929 15 so so RB 63372 929 16 to to IN 63372 929 17 $ $ $ 63372 929 18 M'$. m'$. NN 63372 930 1 It -PRON- PRP 63372 930 2 will will MD 63372 930 3 probably probably RB 63372 930 4 be be VB 63372 930 5 felt feel VBN 63372 930 6 that that IN 63372 930 7 this this DT 63372 930 8 result result NN 63372 930 9 is be VBZ 63372 930 10 due due JJ 63372 930 11 to to IN 63372 930 12 our -PRON- PRP$ 63372 930 13 having having NN 63372 930 14 , , , 63372 930 15 somewhat somewhat RB 63372 930 16 unjustifiably unjustifiably RB 63372 930 17 and and CC 63372 930 18 inconsistently inconsistently RB 63372 930 19 , , , 63372 930 20 localized localize VBN 63372 930 21 on on IN 63372 930 22 the the DT 63372 930 23 train train NN 63372 930 24 the the DT 63372 930 25 relative relative JJ 63372 930 26 motion motion NN 63372 930 27 between between IN 63372 930 28 train train NN 63372 930 29 and and CC 63372 930 30 track track NN 63372 930 31 . . . 63372 931 1 But but CC 63372 931 2 if if IN 63372 931 3 we -PRON- PRP 63372 931 4 think think VBP 63372 931 5 of of IN 63372 931 6 the the DT 63372 931 7 track track NN 63372 931 8 as as IN 63372 931 9 sliding slide VBG 63372 931 10 back back RB 63372 931 11 under under IN 63372 931 12 the the DT 63372 931 13 train train NN 63372 931 14 in in IN 63372 931 15 the the DT 63372 931 16 direction direction NN 63372 931 17 opposite opposite JJ 63372 931 18 to to IN 63372 931 19 the the DT 63372 931 20 arrow arrow NN 63372 931 21 , , , 63372 931 22 and and CC 63372 931 23 carrying carry VBG 63372 931 24 with with IN 63372 931 25 it -PRON- PRP 63372 931 26 the the DT 63372 931 27 points point NNS 63372 931 28 $ $ $ 63372 931 29 A$ a$ $ 63372 931 30 and and CC 63372 931 31 $ $ $ 63372 931 32 B$ B$ NNS 63372 931 33 ; ; : 63372 931 34 and and CC 63372 931 35 if if IN 63372 931 36 we -PRON- PRP 63372 931 37 remember remember VBP 63372 931 38 that that IN 63372 931 39 this this DT 63372 931 40 in in IN 63372 931 41 no no DT 63372 931 42 way way NN 63372 931 43 affects affect VBZ 63372 931 44 $ $ $ 63372 931 45 M$ M$ NNP 63372 931 46 's 's POS 63372 931 47 observed observed JJ 63372 931 48 velocity velocity NN 63372 931 49 of of IN 63372 931 50 light light NN 63372 931 51 or or CC 63372 931 52 the the DT 63372 931 53 distances distance NNS 63372 931 54 $ $ $ 63372 931 55 AM$ am$ CD 63372 931 56 and and CC 63372 931 57 $ $ $ 63372 931 58 BM$ BM$ NNP 63372 931 59 as as IN 63372 931 60 he -PRON- PRP 63372 931 61 observes observe VBZ 63372 931 62 them -PRON- PRP 63372 931 63 : : : 63372 931 64 we -PRON- PRP 63372 931 65 can can MD 63372 931 66 still still RB 63372 931 67 accept accept VB 63372 931 68 his -PRON- PRP$ 63372 931 69 claim claim NN 63372 931 70 that that IN 63372 931 71 the the DT 63372 931 72 flashes flash NNS 63372 931 73 were be VBD 63372 931 74 simultaneous simultaneous JJ 63372 931 75 . . . 63372 932 1 Then then RB 63372 932 2 we -PRON- PRP 63372 932 3 have have VBP 63372 932 4 again again RB 63372 932 5 the the DT 63372 932 6 same same JJ 63372 932 7 situation situation NN 63372 932 8 : : : 63372 932 9 when when WRB 63372 932 10 the the DT 63372 932 11 flashes flash NNS 63372 932 12 from from IN 63372 932 13 $ $ $ 63372 932 14 A$ A$ NNS 63372 932 15 and and CC 63372 932 16 from from IN 63372 932 17 $ $ $ 63372 932 18 B$ B$ NNP 63372 932 19 reach reach VB 63372 932 20 $ $ $ 63372 932 21 M$ m$ NN 63372 932 22 at at IN 63372 932 23 the the DT 63372 932 24 same same JJ 63372 932 25 moment moment NN 63372 932 26 , , , 63372 932 27 in in IN 63372 932 28 his -PRON- PRP$ 63372 932 29 new new JJ 63372 932 30 position position NN 63372 932 31 a a DT 63372 932 32 trifle trifle NN 63372 932 33 to to IN 63372 932 34 the the DT 63372 932 35 left left NN 63372 932 36 of of IN 63372 932 37 his -PRON- PRP$ 63372 932 38 initial initial JJ 63372 932 39 position position NN 63372 932 40 of of IN 63372 932 41 the the DT 63372 932 42 diagram diagram NN 63372 932 43 , , , 63372 932 44 the the DT 63372 932 45 flash flash NN 63372 932 46 from from IN 63372 932 47 $ $ $ 63372 932 48 A$ a$ $ 63372 932 49 has have VBZ 63372 932 50 not not RB 63372 932 51 yet yet RB 63372 932 52 reached reach VBN 63372 932 53 $ $ $ 63372 932 54 M'$ m'$ NN 63372 932 55 in in IN 63372 932 56 his -PRON- PRP$ 63372 932 57 original original JJ 63372 932 58 position position NN 63372 932 59 while while IN 63372 932 60 that that DT 63372 932 61 from from IN 63372 932 62 $ $ $ 63372 932 63 B$ B$ NNP 63372 932 64 has have VBZ 63372 932 65 passed pass VBN 63372 932 66 him -PRON- PRP 63372 932 67 . . . 63372 933 1 Regardless regardless RB 63372 933 2 of of IN 63372 933 3 what what WDT 63372 933 4 assumption assumption NN 63372 933 5 we -PRON- PRP 63372 933 6 make make VBP 63372 933 7 concerning concern VBG 63372 933 8 the the DT 63372 933 9 motion motion NN 63372 933 10 between between IN 63372 933 11 train train NN 63372 933 12 - - HYPH 63372 933 13 system system NN 63372 933 14 and and CC 63372 933 15 track track NN 63372 933 16 - - HYPH 63372 933 17 system system NN 63372 933 18 , , , 63372 933 19 or or CC 63372 933 20 more more RBR 63372 933 21 elegantly elegantly RB 63372 933 22 regardless regardless RB 63372 933 23 of of IN 63372 933 24 what what WP 63372 933 25 coordinate coordinate VBP 63372 933 26 system system NN 63372 933 27 we -PRON- PRP 63372 933 28 use use VBP 63372 933 29 to to TO 63372 933 30 define define VB 63372 933 31 that that DT 63372 933 32 motion motion NN 63372 933 33 , , , 63372 933 34 the the DT 63372 933 35 event event NN 63372 933 36 at at IN 63372 933 37 $ $ $ 63372 933 38 B$ B$ NNP 63372 933 39 precedes precede NNS 63372 933 40 that that IN 63372 933 41 at at IN 63372 933 42 $ $ $ 63372 933 43 A$ a$ $ 63372 933 44 in in IN 63372 933 45 the the DT 63372 933 46 observation observation NN 63372 933 47 of of IN 63372 933 48 $ $ $ 63372 933 49 M'$. m'$. NN 63372 934 1 If if IN 63372 934 2 we -PRON- PRP 63372 934 3 introduce introduce VBP 63372 934 4 a a DT 63372 934 5 second second JJ 63372 934 6 train train NN 63372 934 7 moving move VBG 63372 934 8 on on IN 63372 934 9 the the DT 63372 934 10 other other JJ 63372 934 11 track track NN 63372 934 12 in in IN 63372 934 13 the the DT 63372 934 14 opposite opposite JJ 63372 934 15 direction direction NN 63372 934 16 , , , 63372 934 17 the the DT 63372 934 18 observer observer NN 63372 934 19 on on IN 63372 934 20 it -PRON- PRP 63372 934 21 will will MD 63372 934 22 of of IN 63372 934 23 course course NN 63372 934 24 find find VB 63372 934 25 that that IN 63372 934 26 the the DT 63372 934 27 flash flash NN 63372 934 28 at at IN 63372 934 29 $ $ $ 63372 934 30 A$ a$ $ 63372 934 31 precedes precede NNS 63372 934 32 that that IN 63372 934 33 at at IN 63372 934 34 $ $ $ 63372 934 35 B$--a b$--a NN 63372 934 36 disagreement disagreement NN 63372 934 37 not not RB 63372 934 38 merely merely RB 63372 934 39 as as IN 63372 934 40 to to IN 63372 934 41 simultaneity simultaneity NN 63372 934 42 but but CC 63372 934 43 actually actually RB 63372 934 44 as as IN 63372 934 45 to to IN 63372 934 46 the the DT 63372 934 47 order order NN 63372 934 48 of of IN 63372 934 49 two two CD 63372 934 50 events event NNS 63372 934 51 ! ! . 63372 935 1 If if IN 63372 935 2 we -PRON- PRP 63372 935 3 conceive conceive VBP 63372 935 4 the the DT 63372 935 5 lightning lightning NN 63372 935 6 as as IN 63372 935 7 striking strike VBG 63372 935 8 at at IN 63372 935 9 the the DT 63372 935 10 points point NNS 63372 935 11 $ $ $ 63372 935 12 A'$ a'$ NN 63372 935 13 and and CC 63372 935 14 $ $ $ 63372 935 15 B'$ B'$ NNS 63372 935 16 on on IN 63372 935 17 the the DT 63372 935 18 train train NN 63372 935 19 , , , 63372 935 20 these these DT 63372 935 21 points point NNS 63372 935 22 travel travel VBP 63372 935 23 with with IN 63372 935 24 $ $ $ 63372 935 25 M'$ m'$ RB 63372 935 26 instead instead RB 63372 935 27 of of IN 63372 935 28 with with IN 63372 935 29 $ $ $ 63372 935 30 M$ m$ NN 63372 935 31 ; ; : 63372 935 32 they -PRON- PRP 63372 935 33 are be VBP 63372 935 34 fixed fix VBN 63372 935 35 to to IN 63372 935 36 his -PRON- PRP$ 63372 935 37 coordinate coordinate JJ 63372 935 38 system system NN 63372 935 39 instead instead RB 63372 935 40 of of IN 63372 935 41 to to IN 63372 935 42 the the DT 63372 935 43 other other JJ 63372 935 44 . . . 63372 936 1 If if IN 63372 936 2 you -PRON- PRP 63372 936 3 carry carry VBP 63372 936 4 out out RP 63372 936 5 the the DT 63372 936 6 argument argument NN 63372 936 7 now now RB 63372 936 8 , , , 63372 936 9 you -PRON- PRP 63372 936 10 will will MD 63372 936 11 find find VB 63372 936 12 that that IN 63372 936 13 when when WRB 63372 936 14 the the DT 63372 936 15 flashes flash NNS 63372 936 16 are be VBP 63372 936 17 simultaneous simultaneous JJ 63372 936 18 to to IN 63372 936 19 $ $ $ 63372 936 20 M'$ m'$ NN 63372 936 21 , , , 63372 936 22 the the DT 63372 936 23 one one CD 63372 936 24 at at IN 63372 936 25 $ $ $ 63372 936 26 A$ a$ $ 63372 936 27 precedes precede NNS 63372 936 28 that that IN 63372 936 29 at at IN 63372 936 30 $ $ $ 63372 936 31 B$ b$ $ 63372 936 32 in in IN 63372 936 33 $ $ $ 63372 936 34 M$ M$ NNP 63372 936 35 's 's POS 63372 936 36 observation observation NN 63372 936 37 . . . 63372 937 1 A a DT 63372 937 2 large large JJ 63372 937 3 number number NN 63372 937 4 of of IN 63372 937 5 experiments experiment NNS 63372 937 6 more more RBR 63372 937 7 or or CC 63372 937 8 less less RBR 63372 937 9 similar similar JJ 63372 937 10 in in IN 63372 937 11 outline outline NN 63372 937 12 to to IN 63372 937 13 this this DT 63372 937 14 one one NN 63372 937 15 can can MD 63372 937 16 be be VB 63372 937 17 set set VBN 63372 937 18 up up RP 63372 937 19 to to TO 63372 937 20 demonstrate demonstrate VB 63372 937 21 the the DT 63372 937 22 consequences consequence NNS 63372 937 23 , , , 63372 937 24 with with IN 63372 937 25 regard regard NN 63372 937 26 to to IN 63372 937 27 measured measured JJ 63372 937 28 values value NNS 63372 937 29 of of IN 63372 937 30 time time NN 63372 937 31 and and CC 63372 937 32 space space NN 63372 937 33 , , , 63372 937 34 of of IN 63372 937 35 relative relative JJ 63372 937 36 motion motion NN 63372 937 37 between between IN 63372 937 38 two two CD 63372 937 39 observers observer NNS 63372 937 40 . . . 63372 938 1 I -PRON- PRP 63372 938 2 do do VBP 63372 938 3 not not RB 63372 938 4 believe believe VB 63372 938 5 that that IN 63372 938 6 a a DT 63372 938 7 multiplicity multiplicity NN 63372 938 8 of of IN 63372 938 9 such such JJ 63372 938 10 demonstrations demonstration NNS 63372 938 11 contributes contribute VBZ 63372 938 12 to to IN 63372 938 13 the the DT 63372 938 14 intelligibility intelligibility NN 63372 938 15 of of IN 63372 938 16 the the DT 63372 938 17 subject subject NN 63372 938 18 , , , 63372 938 19 and and CC 63372 938 20 it -PRON- PRP 63372 938 21 is be VBZ 63372 938 22 for for IN 63372 938 23 this this DT 63372 938 24 reason reason NN 63372 938 25 that that WDT 63372 938 26 I -PRON- PRP 63372 938 27 have have VBP 63372 938 28 cut cut VBN 63372 938 29 loose loose JJ 63372 938 30 from from IN 63372 938 31 immediate immediate JJ 63372 938 32 dependence dependence NN 63372 938 33 upon upon IN 63372 938 34 the the DT 63372 938 35 essayists essayist NNS 63372 938 36 in in IN 63372 938 37 this this DT 63372 938 38 part part NN 63372 938 39 of of IN 63372 938 40 the the DT 63372 938 41 discussion discussion NN 63372 938 42 , , , 63372 938 43 concentrating concentrate VBG 63372 938 44 upon upon IN 63372 938 45 the the DT 63372 938 46 single single JJ 63372 938 47 experiment experiment NN 63372 938 48 to to TO 63372 938 49 which which WDT 63372 938 50 Einstein Einstein NNP 63372 938 51 himself -PRON- PRP 63372 938 52 gives give VBZ 63372 938 53 the the DT 63372 938 54 place place NN 63372 938 55 of of IN 63372 938 56 importance importance NN 63372 938 57 . . . 63372 939 1 WHO who WP 63372 939 2 IS be VBZ 63372 939 3 RIGHT right JJ 63372 939 4 ? ? . 63372 940 1 We -PRON- PRP 63372 940 2 may may MD 63372 940 3 permit permit VB 63372 940 4 Mr. Mr. NNP 63372 940 5 Francis Francis NNP 63372 940 6 to to TO 63372 940 7 remind remind VB 63372 940 8 us -PRON- PRP 63372 940 9 here here RB 63372 940 10 that that IN 63372 940 11 neither neither CC 63372 940 12 $ $ $ 63372 940 13 M$ m$ CD 63372 940 14 nor nor CC 63372 940 15 $ $ $ 63372 940 16 M'$ m'$ NN 63372 940 17 may may MD 63372 940 18 correct correct VB 63372 940 19 his -PRON- PRP$ 63372 940 20 observation observation NN 63372 940 21 to to TO 63372 940 22 make make VB 63372 940 23 it -PRON- PRP 63372 940 24 accord accord VB 63372 940 25 with with IN 63372 940 26 the the DT 63372 940 27 other other JJ 63372 940 28 fellow fellow NN 63372 940 29 's 's POS 63372 940 30 . . . 63372 941 1 The the DT 63372 941 2 one one NN 63372 941 3 who who WP 63372 941 4 does do VBZ 63372 941 5 this this DT 63372 941 6 is be VBZ 63372 941 7 admitting admit VBG 63372 941 8 that that IN 63372 941 9 the the DT 63372 941 10 other other JJ 63372 941 11 is be VBZ 63372 941 12 at at IN 63372 941 13 absolute absolute JJ 63372 941 14 rest rest NN 63372 941 15 and and CC 63372 941 16 that that IN 63372 941 17 he -PRON- PRP 63372 941 18 is be VBZ 63372 941 19 himself -PRON- PRP 63372 941 20 in in IN 63372 941 21 absolute absolute JJ 63372 941 22 motion motion NN 63372 941 23 ; ; : 63372 941 24 and and CC 63372 941 25 this this DT 63372 941 26 can can MD 63372 941 27 not not RB 63372 941 28 be be VB 63372 941 29 . . . 63372 942 1 They -PRON- PRP 63372 942 2 are be VBP 63372 942 3 simply simply RB 63372 942 4 in in IN 63372 942 5 disagreement disagreement NN 63372 942 6 as as IN 63372 942 7 to to IN 63372 942 8 the the DT 63372 942 9 simultaneity simultaneity NN 63372 942 10 of of IN 63372 942 11 two two CD 63372 942 12 events event NNS 63372 942 13 , , , 63372 942 14 just just RB 63372 942 15 as as IN 63372 942 16 two two CD 63372 942 17 observers observer NNS 63372 942 18 might may MD 63372 942 19 be be VB 63372 942 20 in in IN 63372 942 21 disagreement disagreement NN 63372 942 22 about about IN 63372 942 23 the the DT 63372 942 24 distance distance NN 63372 942 25 or or CC 63372 942 26 the the DT 63372 942 27 direction direction NN 63372 942 28 of of IN 63372 942 29 a a DT 63372 942 30 single single JJ 63372 942 31 event event NN 63372 942 32 . . . 63372 943 1 This this DT 63372 943 2 can can MD 63372 943 3 mean mean VB 63372 943 4 nothing nothing NN 63372 943 5 else else RB 63372 943 6 than than IN 63372 943 7 that that DT 63372 943 8 , , , 63372 943 9 under under IN 63372 943 10 the the DT 63372 943 11 assumptions assumption NNS 63372 943 12 we -PRON- PRP 63372 943 13 have have VBP 63372 943 14 made make VBN 63372 943 15 , , , 63372 943 16 simultaneity simultaneity NN 63372 943 17 is be VBZ 63372 943 18 not not RB 63372 943 19 an an DT 63372 943 20 absolute absolute JJ 63372 943 21 characteristic characteristic NN 63372 943 22 as as IN 63372 943 23 we -PRON- PRP 63372 943 24 had have VBD 63372 943 25 supposed suppose VBN 63372 943 26 it -PRON- PRP 63372 943 27 to to TO 63372 943 28 be be VB 63372 943 29 , , , 63372 943 30 but but CC 63372 943 31 , , , 63372 943 32 like like IN 63372 943 33 distance distance NN 63372 943 34 and and CC 63372 943 35 direction direction NN 63372 943 36 , , , 63372 943 37 is be VBZ 63372 943 38 in in IN 63372 943 39 fact fact NN 63372 943 40 merely merely RB 63372 943 41 a a DT 63372 943 42 relation relation NN 63372 943 43 between between IN 63372 943 44 observer observer NN 63372 943 45 and and CC 63372 943 46 objective objective NN 63372 943 47 , , , 63372 943 48 and and CC 63372 943 49 therefore therefore RB 63372 943 50 depends depend VBZ 63372 943 51 upon upon IN 63372 943 52 the the DT 63372 943 53 particular particular JJ 63372 943 54 observer observer NN 63372 943 55 who who WP 63372 943 56 happens happen VBZ 63372 943 57 to to TO 63372 943 58 be be VB 63372 943 59 operating operate VBG 63372 943 60 and and CC 63372 943 61 upon upon IN 63372 943 62 the the DT 63372 943 63 reference reference NN 63372 943 64 frame frame NN 63372 943 65 he -PRON- PRP 63372 943 66 is be VBZ 63372 943 67 using use VBG 63372 943 68 . . . 63372 944 1 But but CC 63372 944 2 this this DT 63372 944 3 is be VBZ 63372 944 4 serious serious JJ 63372 944 5 . . . 63372 945 1 My -PRON- PRP$ 63372 945 2 time time NN 63372 945 3 measurements measurement NNS 63372 945 4 depend depend VBP 63372 945 5 ultimately ultimately RB 63372 945 6 upon upon IN 63372 945 7 my -PRON- PRP$ 63372 945 8 space space NN 63372 945 9 measurements measurement NNS 63372 945 10 ; ; : 63372 945 11 the the DT 63372 945 12 latter latter JJ 63372 945 13 , , , 63372 945 14 and and CC 63372 945 15 hence hence RB 63372 945 16 both both DT 63372 945 17 , , , 63372 945 18 depend depend VBP 63372 945 19 closely closely RB 63372 945 20 upon upon IN 63372 945 21 my -PRON- PRP$ 63372 945 22 ideas idea NNS 63372 945 23 of of IN 63372 945 24 simultaneity simultaneity NN 63372 945 25 . . . 63372 946 1 Yours -PRON- PRP 63372 946 2 depend depend VBP 63372 946 3 upon upon IN 63372 946 4 your -PRON- PRP$ 63372 946 5 reading reading NN 63372 946 6 of of IN 63372 946 7 simultaneity simultaneity NN 63372 946 8 in in IN 63372 946 9 precisely precisely RB 63372 946 10 the the DT 63372 946 11 same same JJ 63372 946 12 way way NN 63372 946 13 . . . 63372 947 1 ] ] -RRB- 63372 947 2 * * NFP 63372 947 3 [ [ -LRB- 63372 947 4 Suppose suppose VB 63372 947 5 the the DT 63372 947 6 observer observer NN 63372 947 7 on on IN 63372 947 8 the the DT 63372 947 9 track track NN 63372 947 10 , , , 63372 947 11 in in IN 63372 947 12 the the DT 63372 947 13 above above JJ 63372 947 14 experiment experiment NN 63372 947 15 , , , 63372 947 16 wants want VBZ 63372 947 17 to to TO 63372 947 18 measure measure VB 63372 947 19 the the DT 63372 947 20 length length NN 63372 947 21 of of IN 63372 947 22 something something NN 63372 947 23 on on IN 63372 947 24 the the DT 63372 947 25 car car NN 63372 947 26 , , , 63372 947 27 or or CC 63372 947 28 the the DT 63372 947 29 observer observer NN 63372 947 30 on on IN 63372 947 31 the the DT 63372 947 32 car car NN 63372 947 33 something something NN 63372 947 34 on on IN 63372 947 35 the the DT 63372 947 36 track track NN 63372 947 37 . . . 63372 948 1 The the DT 63372 948 2 observer observer NN 63372 948 3 , , , 63372 948 4 or or CC 63372 948 5 his -PRON- PRP$ 63372 948 6 assistant assistant NN 63372 948 7 , , , 63372 948 8 must must MD 63372 948 9 be be VB 63372 948 10 at at IN 63372 948 11 both both DT 63372 948 12 ends end NNS 63372 948 13 of of IN 63372 948 14 the the DT 63372 948 15 length length NN 63372 948 16 to to TO 63372 948 17 be be VB 63372 948 18 measured measure VBN 63372 948 19 at at IN 63372 948 20 the the DT 63372 948 21 same same JJ 63372 948 22 time time NN 63372 948 23 , , , 63372 948 24 or or CC 63372 948 25 get get VB 63372 948 26 simultaneous simultaneous JJ 63372 948 27 reports report NNS 63372 948 28 in in IN 63372 948 29 some some DT 63372 948 30 way way NN 63372 948 31 from from IN 63372 948 32 these these DT 63372 948 33 ends end NNS 63372 948 34 ; ; : 63372 948 35 else else RB 63372 948 36 they -PRON- PRP 63372 948 37 will will MD 63372 948 38 obtain obtain VB 63372 948 39 false false JJ 63372 948 40 results result NNS 63372 948 41 . . . 63372 949 1 It -PRON- PRP 63372 949 2 is be VBZ 63372 949 3 plain plain JJ 63372 949 4 , , , 63372 949 5 then then RB 63372 949 6 , , , 63372 949 7 that that IN 63372 949 8 with with IN 63372 949 9 different different JJ 63372 949 10 criteria criterion NNS 63372 949 11 of of IN 63372 949 12 what what WP 63372 949 13 the the DT 63372 949 14 " " `` 63372 949 15 same same JJ 63372 949 16 time time NN 63372 949 17 " " '' 63372 949 18 is be VBZ 63372 949 19 , , , 63372 949 20 the the DT 63372 949 21 observers observer NNS 63372 949 22 in in IN 63372 949 23 the the DT 63372 949 24 two two CD 63372 949 25 systems system NNS 63372 949 26 may may MD 63372 949 27 get get VB 63372 949 28 different different JJ 63372 949 29 values value NNS 63372 949 30 for for IN 63372 949 31 the the DT 63372 949 32 measured measure VBN 63372 949 33 lengths length NNS 63372 949 34 in in IN 63372 949 35 question question NN 63372 949 36 . . . 63372 950 1 ] ] -RRB- 63372 950 2 220 220 CD 63372 950 3 [ [ -LRB- 63372 950 4 Who who WP 63372 950 5 is be VBZ 63372 950 6 right right JJ 63372 950 7 ? ? . 63372 951 1 According accord VBG 63372 951 2 to to IN 63372 951 3 the the DT 63372 951 4 principle principle NN 63372 951 5 of of IN 63372 951 6 relativity relativity NN 63372 951 7 a a DT 63372 951 8 decision decision NN 63372 951 9 on on IN 63372 951 10 this this DT 63372 951 11 question question NN 63372 951 12 is be VBZ 63372 951 13 absolutely absolutely RB 63372 951 14 impossible impossible JJ 63372 951 15 . . . 63372 952 1 Both both DT 63372 952 2 parties party NNS 63372 952 3 are be VBP 63372 952 4 right right JJ 63372 952 5 from from IN 63372 952 6 their -PRON- PRP$ 63372 952 7 own own JJ 63372 952 8 points point NNS 63372 952 9 of of IN 63372 952 10 view view NN 63372 952 11 ; ; : 63372 952 12 and and CC 63372 952 13 we -PRON- PRP 63372 952 14 must must MD 63372 952 15 admit admit VB 63372 952 16 that that IN 63372 952 17 two two CD 63372 952 18 events event NNS 63372 952 19 in in IN 63372 952 20 two two CD 63372 952 21 different different JJ 63372 952 22 places place NNS 63372 952 23 may may MD 63372 952 24 be be VB 63372 952 25 simultaneous simultaneous JJ 63372 952 26 for for IN 63372 952 27 certain certain JJ 63372 952 28 observers observer NNS 63372 952 29 , , , 63372 952 30 and and CC 63372 952 31 yet yet RB 63372 952 32 not not RB 63372 952 33 simultaneous simultaneous JJ 63372 952 34 for for IN 63372 952 35 other other JJ 63372 952 36 observers observer NNS 63372 952 37 who who WP 63372 952 38 move move VBP 63372 952 39 with with IN 63372 952 40 respect respect NN 63372 952 41 to to IN 63372 952 42 the the DT 63372 952 43 first first JJ 63372 952 44 ones one NNS 63372 952 45 . . . 63372 953 1 There there EX 63372 953 2 is be VBZ 63372 953 3 no no DT 63372 953 4 contradiction contradiction NN 63372 953 5 in in IN 63372 953 6 this this DT 63372 953 7 statement statement NN 63372 953 8 , , , 63372 953 9 although although IN 63372 953 10 it -PRON- PRP 63372 953 11 is be VBZ 63372 953 12 not not RB 63372 953 13 in in IN 63372 953 14 accordance accordance NN 63372 953 15 with with IN 63372 953 16 common common JJ 63372 953 17 opinion opinion NN 63372 953 18 , , , 63372 953 19 which which WDT 63372 953 20 believes believe VBZ 63372 953 21 simultaneousness simultaneousness NN 63372 953 22 to to TO 63372 953 23 be be VB 63372 953 24 something something NN 63372 953 25 absolute absolute JJ 63372 953 26 . . . 63372 954 1 But but CC 63372 954 2 this this DT 63372 954 3 common common JJ 63372 954 4 opinion opinion NN 63372 954 5 lacks lack VBZ 63372 954 6 foundation foundation NN 63372 954 7 . . . 63372 955 1 It -PRON- PRP 63372 955 2 can can MD 63372 955 3 not not RB 63372 955 4 be be VB 63372 955 5 proved prove VBN 63372 955 6 by by IN 63372 955 7 direct direct JJ 63372 955 8 perception perception NN 63372 955 9 , , , 63372 955 10 for for IN 63372 955 11 simultaneity simultaneity NN 63372 955 12 of of IN 63372 955 13 events event NNS 63372 955 14 can can MD 63372 955 15 be be VB 63372 955 16 perceived perceive VBN 63372 955 17 directly,]24 directly,]24 NN 63372 955 18 [ [ -LRB- 63372 955 19 and and CC 63372 955 20 in in IN 63372 955 21 a a DT 63372 955 22 manner manner NN 63372 955 23 involving involve VBG 63372 955 24 none none NN 63372 955 25 of of IN 63372 955 26 our -PRON- PRP$ 63372 955 27 arbitrary arbitrary JJ 63372 955 28 assumptions assumption NNS 63372 955 29 , , , 63372 955 30 ] ] -RRB- 63372 955 31 * * NFP 63372 955 32 [ [ -LRB- 63372 955 33 only only RB 63372 955 34 if if IN 63372 955 35 they -PRON- PRP 63372 955 36 happen happen VBP 63372 955 37 at at IN 63372 955 38 the the DT 63372 955 39 same same JJ 63372 955 40 place place NN 63372 955 41 ; ; : 63372 955 42 if if IN 63372 955 43 the the DT 63372 955 44 events event NNS 63372 955 45 are be VBP 63372 955 46 distant distant JJ 63372 955 47 from from IN 63372 955 48 each each DT 63372 955 49 other other JJ 63372 955 50 , , , 63372 955 51 their -PRON- PRP$ 63372 955 52 simultaneity simultaneity NN 63372 955 53 or or CC 63372 955 54 succession succession NN 63372 955 55 can can MD 63372 955 56 be be VB 63372 955 57 stated state VBN 63372 955 58 only only RB 63372 955 59 through through IN 63372 955 60 some some DT 63372 955 61 method method NN 63372 955 62 of of IN 63372 955 63 communicating communicate VBG 63372 955 64 by by IN 63372 955 65 signals signal NNS 63372 955 66 . . . 63372 956 1 There there EX 63372 956 2 is be VBZ 63372 956 3 no no DT 63372 956 4 logical logical JJ 63372 956 5 reason reason NN 63372 956 6 why why WRB 63372 956 7 such such PDT 63372 956 8 a a DT 63372 956 9 method method NN 63372 956 10 should should MD 63372 956 11 not not RB 63372 956 12 lead lead VB 63372 956 13 to to IN 63372 956 14 different different JJ 63372 956 15 results result NNS 63372 956 16 for for IN 63372 956 17 observers observer NNS 63372 956 18 who who WP 63372 956 19 move move VBP 63372 956 20 with with IN 63372 956 21 regard regard NN 63372 956 22 to to IN 63372 956 23 one one CD 63372 956 24 another another DT 63372 956 25 . . . 63372 957 1 From from IN 63372 957 2 what what WP 63372 957 3 we -PRON- PRP 63372 957 4 have have VBP 63372 957 5 said say VBD 63372 957 6 , , , 63372 957 7 it -PRON- PRP 63372 957 8 follows follow VBZ 63372 957 9 immediately immediately RB 63372 957 10 that that IN 63372 957 11 in in IN 63372 957 12 the the DT 63372 957 13 new new JJ 63372 957 14 theory theory NN 63372 957 15 not not RB 63372 957 16 only only RB 63372 957 17 the the DT 63372 957 18 concept concept NN 63372 957 19 of of IN 63372 957 20 simultaneousness simultaneousness NN 63372 957 21 but but CC 63372 957 22 also also RB 63372 957 23 that that DT 63372 957 24 of of IN 63372 957 25 duration duration NN 63372 957 26 is be VBZ 63372 957 27 revealed reveal VBN 63372 957 28 as as RB 63372 957 29 dependent dependent JJ 63372 957 30 on on IN 63372 957 31 the the DT 63372 957 32 motion motion NN 63372 957 33 of of IN 63372 957 34 the the DT 63372 957 35 observer observer NN 63372 957 36 . . . 63372 958 1 ] ] -RRB- 63372 958 2 24 24 CD 63372 958 3 [ [ -LRB- 63372 958 4 Demonstration demonstration NN 63372 958 5 of of IN 63372 958 6 this this DT 63372 958 7 should should MD 63372 958 8 be be VB 63372 958 9 superfluous superfluous JJ 63372 958 10 ; ; : 63372 958 11 it -PRON- PRP 63372 958 12 ought ought MD 63372 958 13 to to TO 63372 958 14 be be VB 63372 958 15 plain plain JJ 63372 958 16 without without IN 63372 958 17 argument argument NN 63372 958 18 that that IN 63372 958 19 if if IN 63372 958 20 two two CD 63372 958 21 observers observer NNS 63372 958 22 can can MD 63372 958 23 not not RB 63372 958 24 agree agree VB 63372 958 25 whether whether IN 63372 958 26 two two CD 63372 958 27 instants instant NNS 63372 958 28 are be VBP 63372 958 29 the the DT 63372 958 30 same same JJ 63372 958 31 instant instant NN 63372 958 32 or or CC 63372 958 33 not not RB 63372 958 34 , , , 63372 958 35 they -PRON- PRP 63372 958 36 can can MD 63372 958 37 not not RB 63372 958 38 agree agree VB 63372 958 39 on on IN 63372 958 40 the the DT 63372 958 41 interval interval NN 63372 958 42 of of IN 63372 958 43 time time NN 63372 958 44 between between IN 63372 958 45 instants instant NNS 63372 958 46 . . . 63372 959 1 In in IN 63372 959 2 the the DT 63372 959 3 very very JJ 63372 959 4 example example NN 63372 959 5 which which WDT 63372 959 6 we -PRON- PRP 63372 959 7 have have VBP 63372 959 8 already already RB 63372 959 9 examined examine VBN 63372 959 10 , , , 63372 959 11 one one CD 63372 959 12 observer observer NN 63372 959 13 says say VBZ 63372 959 14 that that IN 63372 959 15 a a DT 63372 959 16 certain certain JJ 63372 959 17 time time NN 63372 959 18 - - HYPH 63372 959 19 interval interval NN 63372 959 20 is be VBZ 63372 959 21 zero zero CD 63372 959 22 , , , 63372 959 23 and and CC 63372 959 24 another another DT 63372 959 25 gives give VBZ 63372 959 26 it -PRON- PRP 63372 959 27 a a DT 63372 959 28 value value NN 63372 959 29 different different JJ 63372 959 30 from from IN 63372 959 31 zero zero CD 63372 959 32 . . . 63372 960 1 The the DT 63372 960 2 same same JJ 63372 960 3 thing thing NN 63372 960 4 happens happen VBZ 63372 960 5 whenever whenever WRB 63372 960 6 the the DT 63372 960 7 observers observer NNS 63372 960 8 are be VBP 63372 960 9 in in IN 63372 960 10 relative relative JJ 63372 960 11 motion motion NN 63372 960 12 . . . 63372 961 1 ] ] -RRB- 63372 961 2 * * NFP 63372 961 3 [ [ -LRB- 63372 961 4 Two two CD 63372 961 5 physicists physicist NNS 63372 961 6 who who WP 63372 961 7 measure measure VBP 63372 961 8 the the DT 63372 961 9 duration duration NN 63372 961 10 of of IN 63372 961 11 a a DT 63372 961 12 physical physical JJ 63372 961 13 process process NN 63372 961 14 will will MD 63372 961 15 not not RB 63372 961 16 obtain obtain VB 63372 961 17 the the DT 63372 961 18 same same JJ 63372 961 19 result result NN 63372 961 20 if if IN 63372 961 21 they -PRON- PRP 63372 961 22 are be VBP 63372 961 23 in in IN 63372 961 24 relative relative JJ 63372 961 25 motion motion NN 63372 961 26 with with IN 63372 961 27 regard regard NN 63372 961 28 to to IN 63372 961 29 one one CD 63372 961 30 another another DT 63372 961 31 . . . 63372 962 1 They -PRON- PRP 63372 962 2 will will MD 63372 962 3 also also RB 63372 962 4 find find VB 63372 962 5 different different JJ 63372 962 6 results result NNS 63372 962 7 for for IN 63372 962 8 the the DT 63372 962 9 length length NN 63372 962 10 of of IN 63372 962 11 a a DT 63372 962 12 body body NN 63372 962 13 . . . 63372 963 1 An an DT 63372 963 2 observer observer NN 63372 963 3 who who WP 63372 963 4 wants want VBZ 63372 963 5 to to TO 63372 963 6 measure measure VB 63372 963 7 the the DT 63372 963 8 length length NN 63372 963 9 of of IN 63372 963 10 a a DT 63372 963 11 body body NN 63372 963 12 which which WDT 63372 963 13 is be VBZ 63372 963 14 moving move VBG 63372 963 15 past past IN 63372 963 16 him -PRON- PRP 63372 963 17 must must MD 63372 963 18 in in IN 63372 963 19 one one CD 63372 963 20 way way NN 63372 963 21 or or CC 63372 963 22 another another DT 63372 963 23 hold hold VB 63372 963 24 a a DT 63372 963 25 measuring measuring NN 63372 963 26 rod rod NN 63372 963 27 parallel parallel NN 63372 963 28 to to IN 63372 963 29 its -PRON- PRP$ 63372 963 30 motion motion NN 63372 963 31 and and CC 63372 963 32 mark mark VB 63372 963 33 those those DT 63372 963 34 points point NNS 63372 963 35 on on IN 63372 963 36 his -PRON- PRP$ 63372 963 37 rod rod NN 63372 963 38 with with IN 63372 963 39 which which WDT 63372 963 40 the the DT 63372 963 41 ends end NNS 63372 963 42 of of IN 63372 963 43 the the DT 63372 963 44 body body NN 63372 963 45 come come VBP 63372 963 46 into into IN 63372 963 47 simultaneous simultaneous JJ 63372 963 48 coincidence coincidence NN 63372 963 49 . . . 63372 964 1 The the DT 63372 964 2 distance distance NN 63372 964 3 between between IN 63372 964 4 the the DT 63372 964 5 two two CD 63372 964 6 marks mark NNS 63372 964 7 will will MD 63372 964 8 then then RB 63372 964 9 indicate indicate VB 63372 964 10 the the DT 63372 964 11 length length NN 63372 964 12 of of IN 63372 964 13 the the DT 63372 964 14 body body NN 63372 964 15 . . . 63372 965 1 But but CC 63372 965 2 if if IN 63372 965 3 the the DT 63372 965 4 two two CD 63372 965 5 markings marking NNS 63372 965 6 are be VBP 63372 965 7 simultaneous simultaneous JJ 63372 965 8 for for IN 63372 965 9 one one CD 63372 965 10 observer observer NN 63372 965 11 , , , 63372 965 12 they -PRON- PRP 63372 965 13 will will MD 63372 965 14 not not RB 63372 965 15 be be VB 63372 965 16 so so RB 63372 965 17 for for IN 63372 965 18 another another DT 63372 965 19 one one NN 63372 965 20 who who WP 63372 965 21 moves move VBZ 63372 965 22 with with IN 63372 965 23 a a DT 63372 965 24 different different JJ 63372 965 25 velocity velocity NN 63372 965 26 , , , 63372 965 27 or or CC 63372 965 28 who who WP 63372 965 29 is be VBZ 63372 965 30 at at IN 63372 965 31 rest rest NN 63372 965 32 , , , 63372 965 33 with with IN 63372 965 34 regard regard NN 63372 965 35 to to IN 63372 965 36 the the DT 63372 965 37 body body NN 63372 965 38 under under IN 63372 965 39 observation observation NN 63372 965 40 . . . 63372 966 1 He -PRON- PRP 63372 966 2 will will MD 63372 966 3 have have VB 63372 966 4 to to TO 63372 966 5 ascribe ascribe VB 63372 966 6 a a DT 63372 966 7 different different JJ 63372 966 8 length length NN 63372 966 9 to to IN 63372 966 10 it -PRON- PRP 63372 966 11 . . . 63372 967 1 And and CC 63372 967 2 there there EX 63372 967 3 will will MD 63372 967 4 be be VB 63372 967 5 no no DT 63372 967 6 sense sense NN 63372 967 7 in in IN 63372 967 8 asking ask VBG 63372 967 9 which which WDT 63372 967 10 of of IN 63372 967 11 them -PRON- PRP 63372 967 12 is be VBZ 63372 967 13 right right JJ 63372 967 14 : : : 63372 967 15 length length NN 63372 967 16 is be VBZ 63372 967 17 a a DT 63372 967 18 purely purely RB 63372 967 19 relative relative JJ 63372 967 20 concept concept NN 63372 967 21 , , , 63372 967 22 just just RB 63372 967 23 as as RB 63372 967 24 well well RB 63372 967 25 as as IN 63372 967 26 duration duration NN 63372 967 27 . . . 63372 968 1 ] ] -RRB- 63372 968 2 24 24 CD 63372 968 3 THE the DT 63372 968 4 RELATIVITY relativity NN 63372 968 5 OF of IN 63372 968 6 TIME time NN 63372 968 7 AND and CC 63372 968 8 SPACE space NN 63372 968 9 [ [ -LRB- 63372 968 10 The the DT 63372 968 11 degree degree NN 63372 968 12 to to TO 63372 968 13 which which WDT 63372 968 14 distance distance NN 63372 968 15 and and CC 63372 968 16 time time NN 63372 968 17 become become VBP 63372 968 18 relative relative JJ 63372 968 19 instead instead RB 63372 968 20 of of IN 63372 968 21 absolute absolute JJ 63372 968 22 quantities quantity NNS 63372 968 23 under under IN 63372 968 24 the the DT 63372 968 25 Special Special NNP 63372 968 26 Theory Theory NNP 63372 968 27 of of IN 63372 968 28 Relativity Relativity NNP 63372 968 29 can can MD 63372 968 30 be be VB 63372 968 31 stated state VBN 63372 968 32 very very RB 63372 968 33 definitely definitely RB 63372 968 34 . . . 63372 969 1 In in IN 63372 969 2 the the DT 63372 969 3 first first JJ 63372 969 4 place place NN 63372 969 5 , , , 63372 969 6 we -PRON- PRP 63372 969 7 must must MD 63372 969 8 point point VB 63372 969 9 out out RP 63372 969 10 that that IN 63372 969 11 the the DT 63372 969 12 relativity relativity NN 63372 969 13 of of IN 63372 969 14 lengths length NNS 63372 969 15 applies apply VBZ 63372 969 16 with with IN 63372 969 17 full full JJ 63372 969 18 force force NN 63372 969 19 only only RB 63372 969 20 to to IN 63372 969 21 lengths length NNS 63372 969 22 that that WDT 63372 969 23 lie lie VBP 63372 969 24 parallel parallel RB 63372 969 25 to to IN 63372 969 26 the the DT 63372 969 27 direction direction NN 63372 969 28 of of IN 63372 969 29 relative relative JJ 63372 969 30 motion motion NN 63372 969 31 . . . 63372 970 1 Those those DT 63372 970 2 that that WDT 63372 970 3 lie lie VBP 63372 970 4 exactly exactly RB 63372 970 5 perpendicular perpendicular JJ 63372 970 6 to to IN 63372 970 7 that that DT 63372 970 8 direction direction NN 63372 970 9 come come VB 63372 970 10 out out RP 63372 970 11 the the DT 63372 970 12 same same JJ 63372 970 13 for for IN 63372 970 14 both both DT 63372 970 15 observers observer NNS 63372 970 16 ; ; , 63372 970 17 those those DT 63372 970 18 that that WDT 63372 970 19 lie lie VBP 63372 970 20 obliquely obliquely RB 63372 970 21 to to IN 63372 970 22 it -PRON- PRP 63372 970 23 show show VB 63372 970 24 an an DT 63372 970 25 effect effect NN 63372 970 26 , , , 63372 970 27 depending depend VBG 63372 970 28 upon upon IN 63372 970 29 the the DT 63372 970 30 angle angle NN 63372 970 31 , , , 63372 970 32 which which WDT 63372 970 33 of of IN 63372 970 34 course course NN 63372 970 35 becomes become VBZ 63372 970 36 greater great JJR 63372 970 37 and and CC 63372 970 38 greater great JJR 63372 970 39 as as IN 63372 970 40 the the DT 63372 970 41 direction direction NN 63372 970 42 of of IN 63372 970 43 parallelism parallelism NN 63372 970 44 is be VBZ 63372 970 45 approached approach VBN 63372 970 46 . . . 63372 971 1 The the DT 63372 971 2 magnitude magnitude NN 63372 971 3 of of IN 63372 971 4 the the DT 63372 971 5 effect effect NN 63372 971 6 is be VBZ 63372 971 7 easily easily RB 63372 971 8 demonstrated demonstrate VBN 63372 971 9 , , , 63372 971 10 but but CC 63372 971 11 with with IN 63372 971 12 this this DT 63372 971 13 demonstration demonstration NN 63372 971 14 we -PRON- PRP 63372 971 15 do do VBP 63372 971 16 not not RB 63372 971 17 need need VB 63372 971 18 to to TO 63372 971 19 be be VB 63372 971 20 concerned concern VBN 63372 971 21 here here RB 63372 971 22 . . . 63372 972 1 It -PRON- PRP 63372 972 2 turns turn VBZ 63372 972 3 out out RP 63372 972 4 that that IN 63372 972 5 if if IN 63372 972 6 an an DT 63372 972 7 observer observer NN 63372 972 8 moving move VBG 63372 972 9 with with IN 63372 972 10 a a DT 63372 972 11 system system NN 63372 972 12 finds find VBZ 63372 972 13 that that IN 63372 972 14 a a DT 63372 972 15 certain certain JJ 63372 972 16 time time NN 63372 972 17 interval interval NN 63372 972 18 in in IN 63372 972 19 the the DT 63372 972 20 system system NN 63372 972 21 is be VBZ 63372 972 22 $ $ $ 63372 972 23 T$ t$ NN 63372 972 24 seconds second NNS 63372 972 25 and and CC 63372 972 26 that that IN 63372 972 27 a a DT 63372 972 28 certain certain JJ 63372 972 29 length length NN 63372 972 30 in in IN 63372 972 31 the the DT 63372 972 32 system system NN 63372 972 33 is be VBZ 63372 972 34 $ $ $ 63372 972 35 L$ L$ NNP 63372 972 36 inches inch NNS 63372 972 37 , , , 63372 972 38 then then RB 63372 972 39 an an DT 63372 972 40 observer observer NN 63372 972 41 moving move VBG 63372 972 42 parallel parallel NN 63372 972 43 with with IN 63372 972 44 $ $ $ 63372 972 45 L$ l$ RB 63372 972 46 and and CC 63372 972 47 with with IN 63372 972 48 a a DT 63372 972 49 velocity velocity NN 63372 972 50 $ $ $ 63372 972 51 v$ v$ NNP 63372 972 52 relative relative JJ 63372 972 53 to to IN 63372 972 54 the the DT 63372 972 55 system system NN 63372 972 56 will will MD 63372 972 57 find find VB 63372 972 58 for for IN 63372 972 59 these these DT 63372 972 60 the the DT 63372 972 61 respective respective JJ 63372 972 62 values value NNS 63372 972 63 $ $ $ 63372 972 64 T T NNP 63372 972 65 \div \div NN 63372 972 66 K$ K$ NNP 63372 972 67 and and CC 63372 972 68 $ $ $ 63372 972 69 L l NN 63372 972 70 \times \times CD 63372 972 71 K$ K$ NNP 63372 972 72 , , , 63372 972 73 where where WRB 63372 972 74 $ $ $ 63372 972 75 $ $ $ 63372 972 76 K k NN 63372 972 77 = = SYM 63372 972 78 \sqrt{1 \sqrt{1 NNS 63372 972 79 - - HYPH 63372 972 80 v^2 v^2 NNP 63372 972 81 / / SYM 63372 972 82 C^2}.$$ c^2}.$$ VBP 63372 972 83 $ $ $ 63372 972 84 C$ c$ $ 63372 972 85 in in IN 63372 972 86 this this DT 63372 972 87 expression expression NN 63372 972 88 of of IN 63372 972 89 course course NN 63372 972 90 represents represent VBZ 63372 972 91 the the DT 63372 972 92 velocity velocity NN 63372 972 93 of of IN 63372 972 94 light light NN 63372 972 95 . . . 63372 973 1 It -PRON- PRP 63372 973 2 will will MD 63372 973 3 be be VB 63372 973 4 noted note VBN 63372 973 5 that that IN 63372 973 6 the the DT 63372 973 7 fraction fraction NN 63372 973 8 $ $ $ 63372 973 9 v^2 v^2 NNS 63372 973 10 / / SYM 63372 973 11 C^2 C^2 NNP 63372 973 12 $ $ $ 63372 973 13 is be VBZ 63372 973 14 ordinarily ordinarily RB 63372 973 15 very very RB 63372 973 16 small small JJ 63372 973 17 ; ; : 63372 973 18 that that IN 63372 973 19 the the DT 63372 973 20 expression expression NN 63372 973 21 under under IN 63372 973 22 the the DT 63372 973 23 radical radical JJ 63372 973 24 is be VBZ 63372 973 25 therefore therefore RB 63372 973 26 less less JJR 63372 973 27 than than IN 63372 973 28 1 1 CD 63372 973 29 but but CC 63372 973 30 by by IN 63372 973 31 a a DT 63372 973 32 very very RB 63372 973 33 slight slight JJ 63372 973 34 margin margin NN 63372 973 35 ; ; : 63372 973 36 and and CC 63372 973 37 that that IN 63372 973 38 the the DT 63372 973 39 entire entire JJ 63372 973 40 expression expression NN 63372 973 41 $ $ $ 63372 973 42 K$ K$ NNP 63372 973 43 is be VBZ 63372 973 44 itself -PRON- PRP 63372 973 45 therefore therefore RB 63372 973 46 less less JJR 63372 973 47 than than IN 63372 973 48 1 1 CD 63372 973 49 but but CC 63372 973 50 by by IN 63372 973 51 an an DT 63372 973 52 even even RB 63372 973 53 slighter slighter JJ 63372 973 54 margin margin NN 63372 973 55 . . . 63372 974 1 This this DT 63372 974 2 means mean VBZ 63372 974 3 , , , 63372 974 4 then then RB 63372 974 5 , , , 63372 974 6 that that IN 63372 974 7 the the DT 63372 974 8 observer observer NN 63372 974 9 outside outside IN 63372 974 10 the the DT 63372 974 11 system system NN 63372 974 12 finds find VBZ 63372 974 13 the the DT 63372 974 14 lengths length NNS 63372 974 15 in in IN 63372 974 16 the the DT 63372 974 17 system system NN 63372 974 18 to to TO 63372 974 19 be be VB 63372 974 20 a a DT 63372 974 21 wee wee JJ 63372 974 22 bit bit NN 63372 974 23 shorter short JJR 63372 974 24 and and CC 63372 974 25 the the DT 63372 974 26 time time NN 63372 974 27 intervals interval VBZ 63372 974 28 a a DT 63372 974 29 wee wee JJ 63372 974 30 bit bit NN 63372 974 31 longer long RBR 63372 974 32 than than IN 63372 974 33 does do VBZ 63372 974 34 the the DT 63372 974 35 observer observer NN 63372 974 36 in in IN 63372 974 37 the the DT 63372 974 38 system system NN 63372 974 39 . . . 63372 975 1 Another another DT 63372 975 2 way way NN 63372 975 3 of of IN 63372 975 4 putting put VBG 63372 975 5 the the DT 63372 975 6 matter matter NN 63372 975 7 is be VBZ 63372 975 8 based base VBN 63372 975 9 , , , 63372 975 10 ultimately ultimately RB 63372 975 11 , , , 63372 975 12 upon upon IN 63372 975 13 the the DT 63372 975 14 fact fact NN 63372 975 15 that that IN 63372 975 16 in in IN 63372 975 17 order order NN 63372 975 18 for for IN 63372 975 19 the the DT 63372 975 20 observer observer NN 63372 975 21 in in IN 63372 975 22 the the DT 63372 975 23 system system NN 63372 975 24 to to TO 63372 975 25 get get VB 63372 975 26 the the DT 63372 975 27 larger large JJR 63372 975 28 value value NN 63372 975 29 for for IN 63372 975 30 distance distance NN 63372 975 31 and and CC 63372 975 32 the the DT 63372 975 33 smaller small JJR 63372 975 34 value value NN 63372 975 35 for for IN 63372 975 36 time time NN 63372 975 37 , , , 63372 975 38 his -PRON- PRP$ 63372 975 39 measuring measure VBG 63372 975 40 rod rod NN 63372 975 41 must must MD 63372 975 42 go go VB 63372 975 43 into into IN 63372 975 44 the the DT 63372 975 45 distance distance NN 63372 975 46 under under IN 63372 975 47 measurement measurement NN 63372 975 48 more more JJR 63372 975 49 times time NNS 63372 975 50 than than IN 63372 975 51 that that DT 63372 975 52 of of IN 63372 975 53 the the DT 63372 975 54 moving move VBG 63372 975 55 observer observer NN 63372 975 56 , , , 63372 975 57 while while IN 63372 975 58 his -PRON- PRP$ 63372 975 59 clock clock NN 63372 975 60 must must MD 63372 975 61 beat beat VB 63372 975 62 a a DT 63372 975 63 longer long JJR 63372 975 64 second second JJ 63372 975 65 in in IN 63372 975 66 order order NN 63372 975 67 that that IN 63372 975 68 less less JJR 63372 975 69 of of IN 63372 975 70 them -PRON- PRP 63372 975 71 shall shall MD 63372 975 72 be be VB 63372 975 73 recorded record VBN 63372 975 74 in in IN 63372 975 75 a a DT 63372 975 76 given give VBN 63372 975 77 interval interval NN 63372 975 78 between between IN 63372 975 79 two two CD 63372 975 80 events event NNS 63372 975 81 . . . 63372 976 1 So so CC 63372 976 2 it -PRON- PRP 63372 976 3 is be VBZ 63372 976 4 often often RB 63372 976 5 said say VBN 63372 976 6 that that IN 63372 976 7 the the DT 63372 976 8 measuring measuring NN 63372 976 9 rod rod NN 63372 976 10 as as IN 63372 976 11 observed observe VBN 63372 976 12 from from IN 63372 976 13 without without IN 63372 976 14 is be VBZ 63372 976 15 contracted contract VBN 63372 976 16 and and CC 63372 976 17 the the DT 63372 976 18 clock clock NN 63372 976 19 runs run VBZ 63372 976 20 slow slow JJ 63372 976 21 . . . 63372 977 1 This this DT 63372 977 2 does do VBZ 63372 977 3 not not RB 63372 977 4 impress impress VB 63372 977 5 me -PRON- PRP 63372 977 6 as as IN 63372 977 7 a a DT 63372 977 8 happy happy JJ 63372 977 9 statement statement NN 63372 977 10 , , , 63372 977 11 either either CC 63372 977 12 in in IN 63372 977 13 form form NN 63372 977 14 or or CC 63372 977 15 in in IN 63372 977 16 content content NN 63372 977 17 . . . 63372 978 1 ] ] -RRB- 63372 978 2 * * NFP 63372 978 3 [ [ -LRB- 63372 978 4 The the DT 63372 978 5 argument argument NN 63372 978 6 that that IN 63372 978 7 these these DT 63372 978 8 formulae formula NNS 63372 978 9 are be VBP 63372 978 10 contradicted contradict VBN 63372 978 11 by by IN 63372 978 12 human human JJ 63372 978 13 experience experience NN 63372 978 14 can can MD 63372 978 15 be be VB 63372 978 16 refuted refute VBN 63372 978 17 by by IN 63372 978 18 examining examine VBG 63372 978 19 a a DT 63372 978 20 concrete concrete JJ 63372 978 21 instance instance NN 63372 978 22 . . . 63372 979 1 If if IN 63372 979 2 a a DT 63372 979 3 train train NN 63372 979 4 is be VBZ 63372 979 5 1,000 1,000 CD 63372 979 6 feet foot NNS 63372 979 7 long long JJ 63372 979 8 at at IN 63372 979 9 rest rest NN 63372 979 10 , , , 63372 979 11 how how WRB 63372 979 12 long long RB 63372 979 13 will will MD 63372 979 14 it -PRON- PRP 63372 979 15 be be VB 63372 979 16 when when WRB 63372 979 17 running run VBG 63372 979 18 a a DT 63372 979 19 mile mile NN 63372 979 20 a a DT 63372 979 21 minute minute NN 63372 979 22 ? ? . 63372 980 1 ] ] -RRB- 63372 980 2 232 232 CD 63372 980 3 [ [ -LRB- 63372 980 4 I -PRON- PRP 63372 980 5 have have VBP 63372 980 6 quoted quote VBN 63372 980 7 this this DT 63372 980 8 question question NN 63372 980 9 exactly exactly RB 63372 980 10 as as IN 63372 980 11 it -PRON- PRP 63372 980 12 appears appear VBZ 63372 980 13 in in IN 63372 980 14 the the DT 63372 980 15 essay essay NN 63372 980 16 from from IN 63372 980 17 which which WDT 63372 980 18 it -PRON- PRP 63372 980 19 is be VBZ 63372 980 20 taken take VBN 63372 980 21 , , , 63372 980 22 because because IN 63372 980 23 it -PRON- PRP 63372 980 24 is be VBZ 63372 980 25 such such PDT 63372 980 26 a a DT 63372 980 27 capital capital NN 63372 980 28 example example NN 63372 980 29 of of IN 63372 980 30 the the DT 63372 980 31 objectionable objectionable JJ 63372 980 32 way way NN 63372 980 33 in in IN 63372 980 34 which which WDT 63372 980 35 this this DT 63372 980 36 business business NN 63372 980 37 is be VBZ 63372 980 38 customarily customarily RB 63372 980 39 put put VBN 63372 980 40 . . . 63372 981 1 For for IN 63372 981 2 the the DT 63372 981 3 statement statement NN 63372 981 4 that that WDT 63372 981 5 lengths length VBZ 63372 981 6 decrease decrease VB 63372 981 7 and and CC 63372 981 8 time time NN 63372 981 9 - - HYPH 63372 981 10 intervals interval NNS 63372 981 11 increase increase NN 63372 981 12 " " '' 63372 981 13 with with IN 63372 981 14 velocity velocity NN 63372 981 15 " " '' 63372 981 16 is be VBZ 63372 981 17 not not RB 63372 981 18 true true JJ 63372 981 19 in in IN 63372 981 20 just just RB 63372 981 21 this this DT 63372 981 22 form form NN 63372 981 23 . . . 63372 982 1 The the DT 63372 982 2 velocity velocity NN 63372 982 3 , , , 63372 982 4 to to TO 63372 982 5 have have VB 63372 982 6 meaning meaning NN 63372 982 7 , , , 63372 982 8 must must MD 63372 982 9 be be VB 63372 982 10 relative relative JJ 63372 982 11 to to IN 63372 982 12 some some DT 63372 982 13 external external JJ 63372 982 14 system system NN 63372 982 15 ; ; : 63372 982 16 and and CC 63372 982 17 it -PRON- PRP 63372 982 18 is be VBZ 63372 982 19 the the DT 63372 982 20 observations observation NNS 63372 982 21 from from IN 63372 982 22 that that DT 63372 982 23 external external JJ 63372 982 24 system system NN 63372 982 25 that that WDT 63372 982 26 are be VBP 63372 982 27 affected affect VBN 63372 982 28 . . . 63372 983 1 So so RB 63372 983 2 long long RB 63372 983 3 as as IN 63372 983 4 we -PRON- PRP 63372 983 5 confine confine VBP 63372 983 6 ourselves -PRON- PRP 63372 983 7 to to IN 63372 983 8 the the DT 63372 983 9 system system NN 63372 983 10 in in IN 63372 983 11 which which WDT 63372 983 12 the the DT 63372 983 13 alleged allege VBN 63372 983 14 modifications modification NNS 63372 983 15 of of IN 63372 983 16 size size NN 63372 983 17 are be VBP 63372 983 18 stated state VBN 63372 983 19 as as IN 63372 983 20 having have VBG 63372 983 21 taken take VBN 63372 983 22 place place NN 63372 983 23 , , , 63372 983 24 there there EX 63372 983 25 is be VBZ 63372 983 26 nothing nothing NN 63372 983 27 to to TO 63372 983 28 observe observe VB 63372 983 29 that that DT 63372 983 30 is be VBZ 63372 983 31 any any DT 63372 983 32 different different JJ 63372 983 33 from from IN 63372 983 34 what what WP 63372 983 35 is be VBZ 63372 983 36 usual usual JJ 63372 983 37 ; ; : 63372 983 38 there there EX 63372 983 39 is be VBZ 63372 983 40 no no DT 63372 983 41 way way NN 63372 983 42 to to TO 63372 983 43 establish establish VB 63372 983 44 that that IN 63372 983 45 we -PRON- PRP 63372 983 46 are be VBP 63372 983 47 enjoying enjoy VBG 63372 983 48 a a DT 63372 983 49 velocity velocity NN 63372 983 50 , , , 63372 983 51 and and CC 63372 983 52 in in IN 63372 983 53 fact fact NN 63372 983 54 within within IN 63372 983 55 the the DT 63372 983 56 intent intent NN 63372 983 57 of of IN 63372 983 58 the the DT 63372 983 59 relativity relativity NN 63372 983 60 theory theory NN 63372 983 61 we -PRON- PRP 63372 983 62 are be VBP 63372 983 63 not not RB 63372 983 64 enjoying enjoy VBG 63372 983 65 a a DT 63372 983 66 velocity velocity NN 63372 983 67 , , , 63372 983 68 for for IN 63372 983 69 we -PRON- PRP 63372 983 70 are be VBP 63372 983 71 moving move VBG 63372 983 72 with with IN 63372 983 73 the the DT 63372 983 74 objects object NNS 63372 983 75 which which WDT 63372 983 76 we -PRON- PRP 63372 983 77 are be VBP 63372 983 78 observing observe VBG 63372 983 79 . . . 63372 984 1 It -PRON- PRP 63372 984 2 is be VBZ 63372 984 3 inter inter JJ 63372 984 4 - - JJ 63372 984 5 systemic systemic JJ 63372 984 6 observations observation NNS 63372 984 7 , , , 63372 984 8 and and CC 63372 984 9 these these DT 63372 984 10 alone alone JJ 63372 984 11 , , , 63372 984 12 that that WDT 63372 984 13 show show VBP 63372 984 14 the the DT 63372 984 15 effect effect NN 63372 984 16 . . . 63372 985 1 When when WRB 63372 985 2 we -PRON- PRP 63372 985 3 travel travel VBP 63372 985 4 with with IN 63372 985 5 the the DT 63372 985 6 system system NN 63372 985 7 under under IN 63372 985 8 observation observation NN 63372 985 9 , , , 63372 985 10 we -PRON- PRP 63372 985 11 get get VBP 63372 985 12 the the DT 63372 985 13 same same JJ 63372 985 14 results result NNS 63372 985 15 as as IN 63372 985 16 any any DT 63372 985 17 other other JJ 63372 985 18 observer observer NN 63372 985 19 on on IN 63372 985 20 this this DT 63372 985 21 system system NN 63372 985 22 ; ; : 63372 985 23 when when WRB 63372 985 24 we -PRON- PRP 63372 985 25 do do VBP 63372 985 26 not not RB 63372 985 27 so so RB 63372 985 28 travel travel VB 63372 985 29 , , , 63372 985 30 we -PRON- PRP 63372 985 31 must must MD 63372 985 32 conduct conduct VB 63372 985 33 our -PRON- PRP$ 63372 985 34 observations observation NNS 63372 985 35 from from IN 63372 985 36 our -PRON- PRP$ 63372 985 37 own own JJ 63372 985 38 system system NN 63372 985 39 , , , 63372 985 40 in in IN 63372 985 41 relative relative JJ 63372 985 42 motion motion NN 63372 985 43 to to IN 63372 985 44 the the DT 63372 985 45 other other JJ 63372 985 46 , , , 63372 985 47 and and CC 63372 985 48 refer refer VB 63372 985 49 our -PRON- PRP$ 63372 985 50 results result NNS 63372 985 51 to to IN 63372 985 52 our -PRON- PRP$ 63372 985 53 system system NN 63372 985 54 . . . 63372 986 1 Now now RB 63372 986 2 when when WRB 63372 986 3 no no DT 63372 986 4 particular particular JJ 63372 986 5 observer observer NN 63372 986 6 is be VBZ 63372 986 7 specified specify VBN 63372 986 8 , , , 63372 986 9 we -PRON- PRP 63372 986 10 must must MD 63372 986 11 of of IN 63372 986 12 course course NN 63372 986 13 assume assume VB 63372 986 14 an an DT 63372 986 15 observer observer NN 63372 986 16 connected connect VBN 63372 986 17 with with IN 63372 986 18 the the DT 63372 986 19 train train NN 63372 986 20 , , , 63372 986 21 or or CC 63372 986 22 with with IN 63372 986 23 whatever whatever WDT 63372 986 24 the the DT 63372 986 25 body body NN 63372 986 26 mentioned mention VBD 63372 986 27 . . . 63372 987 1 To to IN 63372 987 2 that that DT 63372 987 3 observer observer NN 63372 987 4 it -PRON- PRP 63372 987 5 does do VBZ 63372 987 6 n't not RB 63372 987 7 make make VB 63372 987 8 the the DT 63372 987 9 slightest slight JJS 63372 987 10 difference difference NN 63372 987 11 what what WP 63372 987 12 the the DT 63372 987 13 train train NN 63372 987 14 does do VBZ 63372 987 15 ; ; : 63372 987 16 it -PRON- PRP 63372 987 17 may may MD 63372 987 18 stand stand VB 63372 987 19 at at IN 63372 987 20 rest rest NN 63372 987 21 with with IN 63372 987 22 respect respect NN 63372 987 23 to to IN 63372 987 24 some some DT 63372 987 25 external external JJ 63372 987 26 system system NN 63372 987 27 or or CC 63372 987 28 it -PRON- PRP 63372 987 29 may may MD 63372 987 30 move move VB 63372 987 31 at at IN 63372 987 32 any any DT 63372 987 33 velocity velocity NN 63372 987 34 whatsoever whatsoever RB 63372 987 35 ; ; : 63372 987 36 its -PRON- PRP$ 63372 987 37 length length NN 63372 987 38 remains remain VBZ 63372 987 39 always always RB 63372 987 40 1,000 1,000 CD 63372 987 41 feet foot NNS 63372 987 42 . . . 63372 988 1 In in IN 63372 988 2 order order NN 63372 988 3 for for IN 63372 988 4 this this DT 63372 988 5 question question NN 63372 988 6 to to TO 63372 988 7 have have VB 63372 988 8 the the DT 63372 988 9 significance significance NN 63372 988 10 which which WDT 63372 988 11 its -PRON- PRP$ 63372 988 12 propounder propounder NN 63372 988 13 means mean VBZ 63372 988 14 it -PRON- PRP 63372 988 15 to to TO 63372 988 16 have have VB 63372 988 17 , , , 63372 988 18 I -PRON- PRP 63372 988 19 must must MD 63372 988 20 restate restate VB 63372 988 21 it -PRON- PRP 63372 988 22 as as IN 63372 988 23 follows follow VBZ 63372 988 24 : : : 63372 988 25 A a DT 63372 988 26 train train NN 63372 988 27 is be VBZ 63372 988 28 1,000 1,000 CD 63372 988 29 feet foot NNS 63372 988 30 long long JJ 63372 988 31 as as IN 63372 988 32 measured measure VBN 63372 988 33 by by IN 63372 988 34 an an DT 63372 988 35 observer observer NN 63372 988 36 travelling travel VBG 63372 988 37 with with IN 63372 988 38 it -PRON- PRP 63372 988 39 . . . 63372 989 1 If if IN 63372 989 2 it -PRON- PRP 63372 989 3 passes pass VBZ 63372 989 4 a a DT 63372 989 5 second second JJ 63372 989 6 observer observer NN 63372 989 7 at at IN 63372 989 8 60 60 CD 63372 989 9 miles mile NNS 63372 989 10 per per IN 63372 989 11 hour hour NN 63372 989 12 , , , 63372 989 13 what what WP 63372 989 14 is be VBZ 63372 989 15 its -PRON- PRP$ 63372 989 16 length length NN 63372 989 17 as as IN 63372 989 18 observed observe VBN 63372 989 19 by by IN 63372 989 20 him -PRON- PRP 63372 989 21 ? ? . 63372 990 1 The the DT 63372 990 2 answer answer NN 63372 990 3 is be VBZ 63372 990 4 now now RB 63372 990 5 easy easy JJ 63372 990 6 . . . 63372 991 1 ] ] -RRB- 63372 991 2 * * NFP 63372 991 3 [ [ -LRB- 63372 991 4 According accord VBG 63372 991 5 to to IN 63372 991 6 the the DT 63372 991 7 formula formula NN 63372 991 8 the the DT 63372 991 9 length length NN 63372 991 10 of of IN 63372 991 11 the the DT 63372 991 12 moving move VBG 63372 991 13 train train NN 63372 991 14 as as IN 63372 991 15 seen see VBN 63372 991 16 from from IN 63372 991 17 the the DT 63372 991 18 ground ground NN 63372 991 19 will will MD 63372 991 20 be be VB 63372 991 21 $ $ $ 63372 991 22 $ $ $ 63372 991 23 1,000 1,000 CD 63372 991 24 \times \times CD 63372 991 25 \sqrt{1 \sqrt{1 NNS 63372 991 26 - - , 63372 991 27 ( ( -LRB- 63372 991 28 88)^2 88)^2 CD 63372 991 29 / / SYM 63372 991 30 ( ( -LRB- 63372 991 31 186,000 186,000 CD 63372 991 32 \times \times CD 63372 991 33 5,280)^2 5,280)^2 CD 63372 991 34 } } -RRB- 63372 991 35 = = NFP 63372 991 36 999.999,999,999,996$$ 999.999,999,999,996$$ CD 63372 991 37 feet foot NNS 63372 991 38 , , , 63372 991 39 a a DT 63372 991 40 change change NN 63372 991 41 entirely entirely RB 63372 991 42 too too RB 63372 991 43 small small JJ 63372 991 44 for for IN 63372 991 45 detection detection NN 63372 991 46 by by IN 63372 991 47 the the DT 63372 991 48 most most RBS 63372 991 49 delicate delicate JJ 63372 991 50 instruments instrument NNS 63372 991 51 . . . 63372 992 1 Examination examination NN 63372 992 2 of of IN 63372 992 3 the the DT 63372 992 4 expression expression NN 63372 992 5 K k NN 63372 992 6 shows show VBZ 63372 992 7 that that IN 63372 992 8 in in IN 63372 992 9 so so RB 63372 992 10 far far RB 63372 992 11 as as IN 63372 992 12 terrestrial terrestrial JJ 63372 992 13 movements movement NNS 63372 992 14 of of IN 63372 992 15 material material JJ 63372 992 16 objects object NNS 63372 992 17 are be VBP 63372 992 18 concerned concerned JJ 63372 992 19 it -PRON- PRP 63372 992 20 is be VBZ 63372 992 21 equal equal JJ 63372 992 22 to to IN 63372 992 23 1]232 1]232 CD 63372 992 24 [ [ -LRB- 63372 992 25 within within IN 63372 992 26 a a DT 63372 992 27 far far RB 63372 992 28 smaller small JJR 63372 992 29 margin margin NN 63372 992 30 than than IN 63372 992 31 we -PRON- PRP 63372 992 32 can can MD 63372 992 33 ever ever RB 63372 992 34 hope hope VB 63372 992 35 to to TO 63372 992 36 make make VB 63372 992 37 our -PRON- PRP$ 63372 992 38 observations observation NNS 63372 992 39 . . . 63372 993 1 Even even RB 63372 993 2 the the DT 63372 993 3 diameter diameter NN 63372 993 4 of of IN 63372 993 5 the the DT 63372 993 6 earth earth NN 63372 993 7 , , , 63372 993 8 as as IN 63372 993 9 many many JJ 63372 993 10 of of IN 63372 993 11 the the DT 63372 993 12 essayists essayist NNS 63372 993 13 point point VBP 63372 993 14 out out RP 63372 993 15 , , , 63372 993 16 will will MD 63372 993 17 be be VB 63372 993 18 shortened shorten VBN 63372 993 19 only only RB 63372 993 20 2 2 CD 63372 993 21 1/2 1/2 CD 63372 993 22 inches inch NNS 63372 993 23 for for IN 63372 993 24 an an DT 63372 993 25 outside outside JJ 63372 993 26 observer observer NN 63372 993 27 past past NN 63372 993 28 whom whom WP 63372 993 29 it -PRON- PRP 63372 993 30 rushes rush VBZ 63372 993 31 with with IN 63372 993 32 its -PRON- PRP$ 63372 993 33 orbital orbital JJ 63372 993 34 speed speed NN 63372 993 35 of of IN 63372 993 36 18.5 18.5 CD 63372 993 37 miles mile NNS 63372 993 38 per per IN 63372 993 39 second second NN 63372 993 40 . . . 63372 994 1 But but CC 63372 994 2 slight slight JJ 63372 994 3 as as IN 63372 994 4 the the DT 63372 994 5 difference difference NN 63372 994 6 may may MD 63372 994 7 be be VB 63372 994 8 in in IN 63372 994 9 these these DT 63372 994 10 familiar familiar JJ 63372 994 11 cases case NNS 63372 994 12 , , , 63372 994 13 its -PRON- PRP$ 63372 994 14 scientific scientific JJ 63372 994 15 importance importance NN 63372 994 16 remains remain VBZ 63372 994 17 the the DT 63372 994 18 same same JJ 63372 994 19 . . . 63372 995 1 ] ] -RRB- 63372 995 2 * * NFP 63372 995 3 RELATIVITY relativity NN 63372 995 4 AND and CC 63372 995 5 REALITY reality NN 63372 995 6 [ [ -LRB- 63372 995 7 A a DT 63372 995 8 simple simple JJ 63372 995 9 computation computation NN 63372 995 10 shows show VBZ 63372 995 11 that that IN 63372 995 12 this this DT 63372 995 13 effect effect NN 63372 995 14 is be VBZ 63372 995 15 exactly exactly RB 63372 995 16 the the DT 63372 995 17 amount amount NN 63372 995 18 suggested suggest VBN 63372 995 19 by by IN 63372 995 20 Lorentz Lorentz NNP 63372 995 21 and and CC 63372 995 22 Fitzgerald Fitzgerald NNP 63372 995 23 to to TO 63372 995 24 explain explain VB 63372 995 25 the the DT 63372 995 26 Michelson Michelson NNP 63372 995 27 - - HYPH 63372 995 28 Morley Morley NNP 63372 995 29 experiment experiment NN 63372 995 30 . . . 63372 996 1 ] ] -RRB- 63372 996 2 188 188 CD 63372 996 3 [ [ -LRB- 63372 996 4 This this DT 63372 996 5 ought ought MD 63372 996 6 not not RB 63372 996 7 to to TO 63372 996 8 surprise surprise VB 63372 996 9 us -PRON- PRP 63372 996 10 , , , 63372 996 11 since since IN 63372 996 12 both both DT 63372 996 13 that that IN 63372 996 14 explanation explanation NN 63372 996 15 and and CC 63372 996 16 the the DT 63372 996 17 present present JJ 63372 996 18 one one CD 63372 996 19 are be VBP 63372 996 20 got get VBN 63372 996 21 up up RP 63372 996 22 with with IN 63372 996 23 the the DT 63372 996 24 same same JJ 63372 996 25 purpose purpose NN 63372 996 26 . . . 63372 997 1 If if IN 63372 997 2 they -PRON- PRP 63372 997 3 both both DT 63372 997 4 achieve achieve VBP 63372 997 5 that that DT 63372 997 6 purpose purpose NN 63372 997 7 they -PRON- PRP 63372 997 8 must must MD 63372 997 9 , , , 63372 997 10 numerically numerically RB 63372 997 11 , , , 63372 997 12 come come VB 63372 997 13 to to IN 63372 997 14 the the DT 63372 997 15 same same JJ 63372 997 16 thing thing NN 63372 997 17 in in IN 63372 997 18 any any DT 63372 997 19 numerical numerical JJ 63372 997 20 case case NN 63372 997 21 . . . 63372 998 1 It -PRON- PRP 63372 998 2 is be VBZ 63372 998 3 , , , 63372 998 4 however however RB 63372 998 5 , , , 63372 998 6 most most RBS 63372 998 7 emphatically emphatically RB 63372 998 8 to to TO 63372 998 9 be be VB 63372 998 10 insisted insist VBN 63372 998 11 that that IN 63372 998 12 the the DT 63372 998 13 present present JJ 63372 998 14 " " `` 63372 998 15 shortening shorten VBG 63372 998 16 " " '' 63372 998 17 of of IN 63372 998 18 lengths length NNS 63372 998 19 ] ] -RRB- 63372 998 20 * * NFP 63372 998 21 [ [ -LRB- 63372 998 22 no no RB 63372 998 23 longer long RBR 63372 998 24 appears appear VBZ 63372 998 25 as as IN 63372 998 26 a a DT 63372 998 27 " " `` 63372 998 28 physical physical JJ 63372 998 29 " " '' 63372 998 30 shortening shortening NN 63372 998 31 caused cause VBN 63372 998 32 by by IN 63372 998 33 absolute absolute JJ 63372 998 34 motion motion NN 63372 998 35 through through IN 63372 998 36 the the DT 63372 998 37 ether ether NN 63372 998 38 but but CC 63372 998 39 is be VBZ 63372 998 40 simply simply RB 63372 998 41 a a DT 63372 998 42 result result NN 63372 998 43 of of IN 63372 998 44 our -PRON- PRP$ 63372 998 45 methods method NNS 63372 998 46 of of IN 63372 998 47 measuring measure VBG 63372 998 48 space space NN 63372 998 49 and and CC 63372 998 50 time time NN 63372 998 51 . . . 63372 999 1 ] ] -RRB- 63372 999 2 188 188 CD 63372 999 3 [ [ -LRB- 63372 999 4 Where where WRB 63372 999 5 Fitzgerald Fitzgerald NNP 63372 999 6 and and CC 63372 999 7 Lorentz Lorentz NNP 63372 999 8 had have VBD 63372 999 9 assumed assume VBN 63372 999 10 that that IN 63372 999 11 a a DT 63372 999 12 body body NN 63372 999 13 in in IN 63372 999 14 motion motion NN 63372 999 15 has have VBZ 63372 999 16 its -PRON- PRP$ 63372 999 17 dimensions dimension NNS 63372 999 18 shortened shorten VBN 63372 999 19 in in IN 63372 999 20 the the DT 63372 999 21 direction direction NN 63372 999 22 of of IN 63372 999 23 its -PRON- PRP$ 63372 999 24 motion,]220 motion,]220 XX 63372 999 25 [ [ -LRB- 63372 999 26 this this DT 63372 999 27 very very JJ 63372 999 28 form form NN 63372 999 29 of of IN 63372 999 30 statement statement NN 63372 999 31 ceases cease VBZ 63372 999 32 to to TO 63372 999 33 possess possess VB 63372 999 34 significance significance NN 63372 999 35 under under IN 63372 999 36 the the DT 63372 999 37 relativity relativity NN 63372 999 38 assumption assumption NN 63372 999 39 . . . 63372 1000 1 ] ] -RRB- 63372 1000 2 * * NFP 63372 1000 3 [ [ -LRB- 63372 1000 4 For for IN 63372 1000 5 if if IN 63372 1000 6 we -PRON- PRP 63372 1000 7 can can MD 63372 1000 8 not not RB 63372 1000 9 tell tell VB 63372 1000 10 which which WDT 63372 1000 11 of of IN 63372 1000 12 two two CD 63372 1000 13 bodies body NNS 63372 1000 14 is be VBZ 63372 1000 15 moving move VBG 63372 1000 16 , , , 63372 1000 17 which which WDT 63372 1000 18 one one NN 63372 1000 19 is be VBZ 63372 1000 20 shortened shorten VBN 63372 1000 21 ? ? . 63372 1001 1 The the DT 63372 1001 2 answer answer NN 63372 1001 3 is be VBZ 63372 1001 4 , , , 63372 1001 5 both both DT 63372 1001 6 -- -- : 63372 1001 7 for for IN 63372 1001 8 the the DT 63372 1001 9 other other JJ 63372 1001 10 fellow fellow NN 63372 1001 11 . . . 63372 1002 1 For for IN 63372 1002 2 each each DT 63372 1002 3 frame frame NN 63372 1002 4 of of IN 63372 1002 5 reference reference NN 63372 1002 6 there there EX 63372 1002 7 is be VBZ 63372 1002 8 a a DT 63372 1002 9 scale scale NN 63372 1002 10 of of IN 63372 1002 11 length length NN 63372 1002 12 and and CC 63372 1002 13 a a DT 63372 1002 14 scale scale NN 63372 1002 15 of of IN 63372 1002 16 time time NN 63372 1002 17 , , , 63372 1002 18 and and CC 63372 1002 19 these these DT 63372 1002 20 scales scale NNS 63372 1002 21 for for IN 63372 1002 22 different different JJ 63372 1002 23 frames frame NNS 63372 1002 24 are be VBP 63372 1002 25 related relate VBN 63372 1002 26 in in IN 63372 1002 27 a a DT 63372 1002 28 manner manner NN 63372 1002 29 involving involve VBG 63372 1002 30 both both CC 63372 1002 31 the the DT 63372 1002 32 length length NN 63372 1002 33 and and CC 63372 1002 34 the the DT 63372 1002 35 time time NN 63372 1002 36 . . . 63372 1003 1 ] ] -RRB- 63372 1003 2 220 220 CD 63372 1003 3 [ [ -LRB- 63372 1003 4 But but CC 63372 1003 5 we -PRON- PRP 63372 1003 6 must must MD 63372 1003 7 not not RB 63372 1003 8 yield yield VB 63372 1003 9 to to IN 63372 1003 10 the the DT 63372 1003 11 temptation temptation NN 63372 1003 12 to to TO 63372 1003 13 say say VB 63372 1003 14 that that IN 63372 1003 15 all all PDT 63372 1003 16 this this DT 63372 1003 17 is be VBZ 63372 1003 18 not not RB 63372 1003 19 real real JJ 63372 1003 20 ; ; : 63372 1003 21 the the DT 63372 1003 22 confinement confinement NN 63372 1003 23 of of IN 63372 1003 24 a a DT 63372 1003 25 certain certain JJ 63372 1003 26 scale scale NN 63372 1003 27 of of IN 63372 1003 28 length length NN 63372 1003 29 and and CC 63372 1003 30 of of IN 63372 1003 31 time time NN 63372 1003 32 to to IN 63372 1003 33 a a DT 63372 1003 34 single single JJ 63372 1003 35 observation observation NN 63372 1003 36 system system NN 63372 1003 37 does do VBZ 63372 1003 38 not not RB 63372 1003 39 in in IN 63372 1003 40 the the DT 63372 1003 41 least least JJS 63372 1003 42 make make VB 63372 1003 43 it -PRON- PRP 63372 1003 44 unreal unreal JJ 63372 1003 45 . . . 63372 1004 1 ] ] -RRB- 63372 1004 2 * * NFP 63372 1004 3 [ [ -LRB- 63372 1004 4 The the DT 63372 1004 5 situation situation NN 63372 1004 6 is be VBZ 63372 1004 7 real real JJ 63372 1004 8 -- -- : 63372 1004 9 as as RB 63372 1004 10 real real JJ 63372 1004 11 as as IN 63372 1004 12 any any DT 63372 1004 13 other other JJ 63372 1004 14 physical physical JJ 63372 1004 15 event event NN 63372 1004 16 . . . 63372 1005 1 ] ] -RRB- 63372 1005 2 165 165 CD 63372 1005 3 [ [ -LRB- 63372 1005 4 The the DT 63372 1005 5 word word NN 63372 1005 6 physical physical NN 63372 1005 7 is be VBZ 63372 1005 8 used use VBN 63372 1005 9 in in IN 63372 1005 10 two two CD 63372 1005 11 senses sense NNS 63372 1005 12 in in IN 63372 1005 13 the the DT 63372 1005 14 above above JJ 63372 1005 15 paragraph paragraph NN 63372 1005 16 . . . 63372 1006 1 It -PRON- PRP 63372 1006 2 is be VBZ 63372 1006 3 denied deny VBN 63372 1006 4 that that IN 63372 1006 5 the the DT 63372 1006 6 observed observed JJ 63372 1006 7 variability variability NN 63372 1006 8 in in IN 63372 1006 9 lengths length NNS 63372 1006 10 indicates indicate VBZ 63372 1006 11 any any DT 63372 1006 12 " " `` 63372 1006 13 physical physical JJ 63372 1006 14 " " '' 63372 1006 15 contraction contraction NN 63372 1006 16 or or CC 63372 1006 17 shrinkage shrinkage NN 63372 1006 18 ; ; : 63372 1006 19 and and CC 63372 1006 20 on on IN 63372 1006 21 the the DT 63372 1006 22 heels heel NNS 63372 1006 23 of of IN 63372 1006 24 this this DT 63372 1006 25 it -PRON- PRP 63372 1006 26 is be VBZ 63372 1006 27 asserted assert VBN 63372 1006 28 that that IN 63372 1006 29 this this DT 63372 1006 30 observed observed JJ 63372 1006 31 variability variability NN 63372 1006 32 is be VBZ 63372 1006 33 of of IN 63372 1006 34 itself -PRON- PRP 63372 1006 35 an an DT 63372 1006 36 actual actual JJ 63372 1006 37 " " `` 63372 1006 38 physical physical JJ 63372 1006 39 " " '' 63372 1006 40 event event NN 63372 1006 41 . . . 63372 1007 1 It -PRON- PRP 63372 1007 2 is be VBZ 63372 1007 3 difficult difficult JJ 63372 1007 4 to to TO 63372 1007 5 express express VB 63372 1007 6 in in IN 63372 1007 7 words word NNS 63372 1007 8 the the DT 63372 1007 9 distinction distinction NN 63372 1007 10 between between IN 63372 1007 11 the the DT 63372 1007 12 two two CD 63372 1007 13 senses sense NNS 63372 1007 14 in in IN 63372 1007 15 which which WDT 63372 1007 16 the the DT 63372 1007 17 term term NN 63372 1007 18 physical physical JJ 63372 1007 19 is be VBZ 63372 1007 20 employed employ VBN 63372 1007 21 in in IN 63372 1007 22 these these DT 63372 1007 23 two two CD 63372 1007 24 statements statement NNS 63372 1007 25 , , , 63372 1007 26 but but CC 63372 1007 27 I -PRON- PRP 63372 1007 28 think think VBP 63372 1007 29 this this DT 63372 1007 30 distinction distinction NN 63372 1007 31 ought ought MD 63372 1007 32 to to TO 63372 1007 33 be be VB 63372 1007 34 clear clear JJ 63372 1007 35 once once IN 63372 1007 36 its -PRON- PRP$ 63372 1007 37 existence existence NN 63372 1007 38 is be VBZ 63372 1007 39 emphasized emphasize VBN 63372 1007 40 . . . 63372 1008 1 There there EX 63372 1008 2 is be VBZ 63372 1008 3 no no DT 63372 1008 4 material material JJ 63372 1008 5 contraction contraction NN 63372 1008 6 ; ; : 63372 1008 7 it -PRON- PRP 63372 1008 8 is be VBZ 63372 1008 9 not not RB 63372 1008 10 right right JJ 63372 1008 11 to to TO 63372 1008 12 say say VB 63372 1008 13 that that IN 63372 1008 14 objects object NNS 63372 1008 15 in in IN 63372 1008 16 motion motion NN 63372 1008 17 contract contract NN 63372 1008 18 or or CC 63372 1008 19 are be VBP 63372 1008 20 shorter short JJR 63372 1008 21 ; ; : 63372 1008 22 they -PRON- PRP 63372 1008 23 are be VBP 63372 1008 24 not not RB 63372 1008 25 shorter short JJR 63372 1008 26 to to IN 63372 1008 27 an an DT 63372 1008 28 observer observer NN 63372 1008 29 in in IN 63372 1008 30 motion motion NN 63372 1008 31 with with IN 63372 1008 32 them -PRON- PRP 63372 1008 33 . . . 63372 1009 1 The the DT 63372 1009 2 whole whole JJ 63372 1009 3 thing thing NN 63372 1009 4 is be VBZ 63372 1009 5 a a DT 63372 1009 6 phenomenon phenomenon NN 63372 1009 7 of of IN 63372 1009 8 observation observation NN 63372 1009 9 . . . 63372 1010 1 The the DT 63372 1010 2 definitions definition NNS 63372 1010 3 which which WDT 63372 1010 4 we -PRON- PRP 63372 1010 5 are be VBP 63372 1010 6 obliged oblige VBN 63372 1010 7 to to TO 63372 1010 8 lay lay VB 63372 1010 9 down down RP 63372 1010 10 and and CC 63372 1010 11 the the DT 63372 1010 12 assumptions assumption NNS 63372 1010 13 which which WDT 63372 1010 14 we -PRON- PRP 63372 1010 15 are be VBP 63372 1010 16 obliged oblige VBN 63372 1010 17 to to TO 63372 1010 18 make make VB 63372 1010 19 in in IN 63372 1010 20 order order NN 63372 1010 21 , , , 63372 1010 22 first first RB 63372 1010 23 , , , 63372 1010 24 that that IN 63372 1010 25 we -PRON- PRP 63372 1010 26 shall shall MD 63372 1010 27 be be VB 63372 1010 28 able able JJ 63372 1010 29 to to TO 63372 1010 30 measure measure VB 63372 1010 31 at at RB 63372 1010 32 all all RB 63372 1010 33 , , , 63372 1010 34 and and CC 63372 1010 35 second second RB 63372 1010 36 , , , 63372 1010 37 that that IN 63372 1010 38 we -PRON- PRP 63372 1010 39 shall shall MD 63372 1010 40 be be VB 63372 1010 41 able able JJ 63372 1010 42 to to TO 63372 1010 43 escape escape VB 63372 1010 44 the the DT 63372 1010 45 inadmissible inadmissible JJ 63372 1010 46 concept concept NN 63372 1010 47 of of IN 63372 1010 48 absolute absolute JJ 63372 1010 49 motion motion NN 63372 1010 50 , , , 63372 1010 51 are be VBP 63372 1010 52 such such JJ 63372 1010 53 that that IN 63372 1010 54 certain certain JJ 63372 1010 55 realities reality NNS 63372 1010 56 which which WDT 63372 1010 57 we -PRON- PRP 63372 1010 58 had have VBD 63372 1010 59 supposed suppose VBN 63372 1010 60 ought ought MD 63372 1010 61 to to TO 63372 1010 62 be be VB 63372 1010 63 the the DT 63372 1010 64 same same JJ 63372 1010 65 for for IN 63372 1010 66 all all DT 63372 1010 67 observers observer NNS 63372 1010 68 turn turn VBP 63372 1010 69 out out RP 63372 1010 70 not not RB 63372 1010 71 to to TO 63372 1010 72 be be VB 63372 1010 73 the the DT 63372 1010 74 same same JJ 63372 1010 75 for for IN 63372 1010 76 observers observer NNS 63372 1010 77 who who WP 63372 1010 78 are be VBP 63372 1010 79 in in IN 63372 1010 80 relative relative JJ 63372 1010 81 motion motion NN 63372 1010 82 with with IN 63372 1010 83 respect respect NN 63372 1010 84 to to IN 63372 1010 85 one one CD 63372 1010 86 another another DT 63372 1010 87 . . . 63372 1011 1 We -PRON- PRP 63372 1011 2 have have VBP 63372 1011 3 found find VBN 63372 1011 4 this this DT 63372 1011 5 out out RP 63372 1011 6 , , , 63372 1011 7 and and CC 63372 1011 8 we -PRON- PRP 63372 1011 9 have have VBP 63372 1011 10 found find VBN 63372 1011 11 out out RP 63372 1011 12 the the DT 63372 1011 13 numerical numerical JJ 63372 1011 14 relation relation NN 63372 1011 15 which which WDT 63372 1011 16 holds hold VBZ 63372 1011 17 between between IN 63372 1011 18 the the DT 63372 1011 19 reality reality NN 63372 1011 20 of of IN 63372 1011 21 the the DT 63372 1011 22 one one CD 63372 1011 23 observer observer NN 63372 1011 24 and and CC 63372 1011 25 that that DT 63372 1011 26 of of IN 63372 1011 27 the the DT 63372 1011 28 other other JJ 63372 1011 29 . . . 63372 1012 1 We -PRON- PRP 63372 1012 2 have have VBP 63372 1012 3 found find VBN 63372 1012 4 that that IN 63372 1012 5 this this DT 63372 1012 6 relation relation NN 63372 1012 7 depends depend VBZ 63372 1012 8 upon upon IN 63372 1012 9 nothing nothing NN 63372 1012 10 save save IN 63372 1012 11 the the DT 63372 1012 12 relative relative JJ 63372 1012 13 velocity velocity NN 63372 1012 14 of of IN 63372 1012 15 the the DT 63372 1012 16 two two CD 63372 1012 17 observers observer NNS 63372 1012 18 . . . 63372 1013 1 As as IN 63372 1013 2 good good JJ 63372 1013 3 a a DT 63372 1013 4 way way NN 63372 1013 5 of of IN 63372 1013 6 emphasizing emphasize VBG 63372 1013 7 this this DT 63372 1013 8 as as IN 63372 1013 9 any any DT 63372 1013 10 is be VBZ 63372 1013 11 to to TO 63372 1013 12 point point VB 63372 1013 13 out out RP 63372 1013 14 that that IN 63372 1013 15 two two CD 63372 1013 16 observers observer NNS 63372 1013 17 who who WP 63372 1013 18 have have VBP 63372 1013 19 the the DT 63372 1013 20 same same JJ 63372 1013 21 velocity velocity NN 63372 1013 22 with with IN 63372 1013 23 respect respect NN 63372 1013 24 to to IN 63372 1013 25 the the DT 63372 1013 26 system system NN 63372 1013 27 under under IN 63372 1013 28 examination examination NN 63372 1013 29 ( ( -LRB- 63372 1013 30 and and CC 63372 1013 31 whose whose WP$ 63372 1013 32 mutual mutual JJ 63372 1013 33 relative relative JJ 63372 1013 34 velocity velocity NN 63372 1013 35 is be VBZ 63372 1013 36 therefore therefore RB 63372 1013 37 zero zero CD 63372 1013 38 ) ) -RRB- 63372 1013 39 will will MD 63372 1013 40 always always RB 63372 1013 41 get get VB 63372 1013 42 the the DT 63372 1013 43 same same JJ 63372 1013 44 results result NNS 63372 1013 45 when when WRB 63372 1013 46 measuring measure VBG 63372 1013 47 lengths length NNS 63372 1013 48 and and CC 63372 1013 49 times time NNS 63372 1013 50 on on IN 63372 1013 51 that that DT 63372 1013 52 system system NN 63372 1013 53 . . . 63372 1014 1 The the DT 63372 1014 2 object object NN 63372 1014 3 does do VBZ 63372 1014 4 not not RB 63372 1014 5 go go VB 63372 1014 6 through through IN 63372 1014 7 any any DT 63372 1014 8 process process NN 63372 1014 9 of of IN 63372 1014 10 contraction contraction NN 63372 1014 11 ; ; : 63372 1014 12 it -PRON- PRP 63372 1014 13 is be VBZ 63372 1014 14 simply simply RB 63372 1014 15 shorter short JJR 63372 1014 16 because because IN 63372 1014 17 it -PRON- PRP 63372 1014 18 is be VBZ 63372 1014 19 observed observe VBN 63372 1014 20 from from IN 63372 1014 21 a a DT 63372 1014 22 station station NN 63372 1014 23 with with IN 63372 1014 24 respect respect NN 63372 1014 25 to to TO 63372 1014 26 which which WDT 63372 1014 27 it -PRON- PRP 63372 1014 28 is be VBZ 63372 1014 29 moving move VBG 63372 1014 30 . . . 63372 1015 1 Similar similar JJ 63372 1015 2 remarks remark NNS 63372 1015 3 might may MD 63372 1015 4 be be VB 63372 1015 5 made make VBN 63372 1015 6 about about IN 63372 1015 7 the the DT 63372 1015 8 time time NN 63372 1015 9 effect effect NN 63372 1015 10 ; ; : 63372 1015 11 but but CC 63372 1015 12 the the DT 63372 1015 13 time time NN 63372 1015 14 - - HYPH 63372 1015 15 interval interval NN 63372 1015 16 is be VBZ 63372 1015 17 not not RB 63372 1015 18 so so RB 63372 1015 19 easily easily RB 63372 1015 20 visualized visualize VBN 63372 1015 21 as as IN 63372 1015 22 a a DT 63372 1015 23 concrete concrete JJ 63372 1015 24 thing thing NN 63372 1015 25 and and CC 63372 1015 26 hence hence RB 63372 1015 27 does do VBZ 63372 1015 28 not not RB 63372 1015 29 offer offer VB 63372 1015 30 such such JJ 63372 1015 31 temptation temptation NN 63372 1015 32 for for IN 63372 1015 33 loose loose JJ 63372 1015 34 statement statement NN 63372 1015 35 . . . 63372 1016 1 The the DT 63372 1016 2 purely purely RB 63372 1016 3 relative relative JJ 63372 1016 4 aspect aspect NN 63372 1016 5 of of IN 63372 1016 6 the the DT 63372 1016 7 matter matter NN 63372 1016 8 is be VBZ 63372 1016 9 further further RB 63372 1016 10 brought bring VBN 63372 1016 11 out out RP 63372 1016 12 if if IN 63372 1016 13 we -PRON- PRP 63372 1016 14 consider consider VBP 63372 1016 15 a a DT 63372 1016 16 single single JJ 63372 1016 17 example example NN 63372 1016 18 both both CC 63372 1016 19 backwards backwards RB 63372 1016 20 and and CC 63372 1016 21 forwards forwards RB 63372 1016 22 . . . 63372 1017 1 Systems system NNS 63372 1017 2 $ $ $ 63372 1017 3 S$ s$ CD 63372 1017 4 and and CC 63372 1017 5 $ $ $ 63372 1017 6 S'$ s'$ NN 63372 1017 7 are be VBP 63372 1017 8 in in IN 63372 1017 9 relative relative JJ 63372 1017 10 motion motion NN 63372 1017 11 . . . 63372 1018 1 An an DT 63372 1018 2 object object NN 63372 1018 3 in in IN 63372 1018 4 $ $ $ 63372 1018 5 S$ s$ IN 63372 1018 6 which which WDT 63372 1018 7 to to IN 63372 1018 8 an an DT 63372 1018 9 observer observer NN 63372 1018 10 in in IN 63372 1018 11 $ $ $ 63372 1018 12 S$ s$ NN 63372 1018 13 is be VBZ 63372 1018 14 $ $ $ 63372 1018 15 L$ L$ NNP 63372 1018 16 units unit NNS 63372 1018 17 long long RB 63372 1018 18 , , , 63372 1018 19 is be VBZ 63372 1018 20 shorter short JJR 63372 1018 21 for for IN 63372 1018 22 an an DT 63372 1018 23 observer observer NN 63372 1018 24 in in IN 63372 1018 25 $ $ $ 63372 1018 26 S'$--shorter s'$--shorter NN 63372 1018 27 by by IN 63372 1018 28 an an DT 63372 1018 29 amount amount NN 63372 1018 30 indicated indicate VBN 63372 1018 31 through through IN 63372 1018 32 the the DT 63372 1018 33 " " `` 63372 1018 34 correction correction NN 63372 1018 35 factor factor NN 63372 1018 36 " " '' 63372 1018 37 $ $ $ 63372 1018 38 K$. K$. NNP 63372 1019 1 Now now RB 63372 1019 2 if if IN 63372 1019 3 we -PRON- PRP 63372 1019 4 have have VBP 63372 1019 5 , , , 63372 1019 6 in in IN 63372 1019 7 the the DT 63372 1019 8 first first JJ 63372 1019 9 instance instance NN 63372 1019 10 , , , 63372 1019 11 made make VBD 63372 1019 12 the the DT 63372 1019 13 objectionable objectionable JJ 63372 1019 14 statement statement NN 63372 1019 15 that that WDT 63372 1019 16 objects object NNS 63372 1019 17 are be VBP 63372 1019 18 shorter short JJR 63372 1019 19 in in IN 63372 1019 20 system system NN 63372 1019 21 $ $ $ 63372 1019 22 S'$ s'$ NN 63372 1019 23 than than IN 63372 1019 24 they -PRON- PRP 63372 1019 25 are be VBP 63372 1019 26 in in IN 63372 1019 27 $ $ $ 63372 1019 28 S$ s$ RB 63372 1019 29 , , , 63372 1019 30 it -PRON- PRP 63372 1019 31 will will MD 63372 1019 32 be be VB 63372 1019 33 quite quite RB 63372 1019 34 natural natural JJ 63372 1019 35 for for IN 63372 1019 36 us -PRON- PRP 63372 1019 37 to to TO 63372 1019 38 infer infer VB 63372 1019 39 from from IN 63372 1019 40 this this DT 63372 1019 41 that that WDT 63372 1019 42 objects object VBZ 63372 1019 43 in in IN 63372 1019 44 $ $ $ 63372 1019 45 S$ S$ NNP 63372 1019 46 must must MD 63372 1019 47 be be VB 63372 1019 48 longer long JJR 63372 1019 49 than than IN 63372 1019 50 those those DT 63372 1019 51 in in IN 63372 1019 52 $ $ $ 63372 1019 53 S'$ s'$ NN 63372 1019 54 ; ; : 63372 1019 55 and and CC 63372 1019 56 from from IN 63372 1019 57 this this DT 63372 1019 58 to to TO 63372 1019 59 assert assert VB 63372 1019 60 that that IN 63372 1019 61 when when WRB 63372 1019 62 the the DT 63372 1019 63 observer observer NN 63372 1019 64 in in IN 63372 1019 65 $ $ $ 63372 1019 66 S$ S$ NNP 63372 1019 67 measures measure NNS 63372 1019 68 objects object NNS 63372 1019 69 lying lie VBG 63372 1019 70 in in IN 63372 1019 71 $ $ $ 63372 1019 72 S'$ s'$ NN 63372 1019 73 , , , 63372 1019 74 he -PRON- PRP 63372 1019 75 gets get VBZ 63372 1019 76 for for IN 63372 1019 77 them -PRON- PRP 63372 1019 78 greater great JJR 63372 1019 79 lengths length NNS 63372 1019 80 than than IN 63372 1019 81 does do VBZ 63372 1019 82 the the DT 63372 1019 83 home home NN 63372 1019 84 observer observer NN 63372 1019 85 in in IN 63372 1019 86 $ $ $ 63372 1019 87 S'$. S'$. NNP 63372 1020 1 But but CC 63372 1020 2 if if IN 63372 1020 3 we -PRON- PRP 63372 1020 4 have have VBP 63372 1020 5 , , , 63372 1020 6 in in IN 63372 1020 7 the the DT 63372 1020 8 first first JJ 63372 1020 9 instance instance NN 63372 1020 10 , , , 63372 1020 11 avoided avoid VBD 63372 1020 12 the the DT 63372 1020 13 objectionable objectionable JJ 63372 1020 14 statement statement NN 63372 1020 15 referred refer VBD 63372 1020 16 to to IN 63372 1020 17 , , , 63372 1020 18 we -PRON- PRP 63372 1020 19 shall shall MD 63372 1020 20 be be VB 63372 1020 21 much much RB 63372 1020 22 better well RBR 63372 1020 23 able able JJ 63372 1020 24 to to TO 63372 1020 25 realize realize VB 63372 1020 26 that that IN 63372 1020 27 the the DT 63372 1020 28 whole whole JJ 63372 1020 29 business business NN 63372 1020 30 is be VBZ 63372 1020 31 quite quite RB 63372 1020 32 reciprocal reciprocal JJ 63372 1020 33 ; ; : 63372 1020 34 that that IN 63372 1020 35 the the DT 63372 1020 36 phenomena phenomenon NNS 63372 1020 37 are be VBP 63372 1020 38 symmetric symmetric JJ 63372 1020 39 with with IN 63372 1020 40 respect respect NN 63372 1020 41 to to IN 63372 1020 42 the the DT 63372 1020 43 two two CD 63372 1020 44 systems system NNS 63372 1020 45 , , , 63372 1020 46 to to IN 63372 1020 47 the the DT 63372 1020 48 extent extent NN 63372 1020 49 that that IN 63372 1020 50 we -PRON- PRP 63372 1020 51 can can MD 63372 1020 52 interchange interchange VB 63372 1020 53 the the DT 63372 1020 54 systems system NNS 63372 1020 55 in in IN 63372 1020 56 any any DT 63372 1020 57 of of IN 63372 1020 58 our -PRON- PRP$ 63372 1020 59 statements statement NNS 63372 1020 60 without without IN 63372 1020 61 modifying modify VBG 63372 1020 62 the the DT 63372 1020 63 statements statement NNS 63372 1020 64 in in IN 63372 1020 65 any any DT 63372 1020 66 other other JJ 63372 1020 67 way way NN 63372 1020 68 . . . 63372 1021 1 Objects object NNS 63372 1021 2 in in IN 63372 1021 3 $ $ $ 63372 1021 4 S$ s$ NN 63372 1021 5 appear appear VB 63372 1021 6 shorter short JJR 63372 1021 7 and and CC 63372 1021 8 times time NNS 63372 1021 9 in in IN 63372 1021 10 $ $ $ 63372 1021 11 S$ s$ $ 63372 1021 12 appear appear VB 63372 1021 13 longer long JJR 63372 1021 14 to to IN 63372 1021 15 the the DT 63372 1021 16 external external JJ 63372 1021 17 " " `` 63372 1021 18 moving move VBG 63372 1021 19 " " '' 63372 1021 20 observer observer NN 63372 1021 21 in in IN 63372 1021 22 $ $ $ 63372 1021 23 S'$ s'$ NN 63372 1021 24 than than IN 63372 1021 25 they -PRON- PRP 63372 1021 26 do do VBP 63372 1021 27 to to IN 63372 1021 28 the the DT 63372 1021 29 domestic domestic JJ 63372 1021 30 observer observer NN 63372 1021 31 in in IN 63372 1021 32 $ $ $ 63372 1021 33 S$. s$. NN 63372 1022 1 Exactly exactly RB 63372 1022 2 in in IN 63372 1022 3 the the DT 63372 1022 4 same same JJ 63372 1022 5 way way NN 63372 1022 6 , , , 63372 1022 7 objects object NNS 63372 1022 8 in in IN 63372 1022 9 $ $ $ 63372 1022 10 S'$ S'$ NNP 63372 1022 11 appear appear VB 63372 1022 12 shorter short JJR 63372 1022 13 to to IN 63372 1022 14 observers observer NNS 63372 1022 15 in in IN 63372 1022 16 the the DT 63372 1022 17 foreign foreign JJ 63372 1022 18 system system NN 63372 1022 19 $ $ $ 63372 1022 20 S$ s$ IN 63372 1022 21 than than IN 63372 1022 22 to to IN 63372 1022 23 the the DT 63372 1022 24 home home NN 63372 1022 25 observer observer NN 63372 1022 26 in in IN 63372 1022 27 $ $ $ 63372 1022 28 S'$ S'$ NNP 63372 1022 29 , , , 63372 1022 30 who who WP 63372 1022 31 remains remain VBZ 63372 1022 32 at at IN 63372 1022 33 rest rest NN 63372 1022 34 with with IN 63372 1022 35 respect respect NN 63372 1022 36 to to IN 63372 1022 37 them -PRON- PRP 63372 1022 38 . . . 63372 1023 1 I -PRON- PRP 63372 1023 2 think think VBP 63372 1023 3 that that IN 63372 1023 4 when when WRB 63372 1023 5 we -PRON- PRP 63372 1023 6 get get VBP 63372 1023 7 the the DT 63372 1023 8 right right JJ 63372 1023 9 angle angle NN 63372 1023 10 upon upon IN 63372 1023 11 this this DT 63372 1023 12 situation situation NN 63372 1023 13 , , , 63372 1023 14 it -PRON- PRP 63372 1023 15 loses lose VBZ 63372 1023 16 the the DT 63372 1023 17 alleged alleged JJ 63372 1023 18 startling startling JJ 63372 1023 19 character character NN 63372 1023 20 which which WDT 63372 1023 21 has have VBZ 63372 1023 22 been be VBN 63372 1023 23 imposed impose VBN 63372 1023 24 upon upon IN 63372 1023 25 it -PRON- PRP 63372 1023 26 by by IN 63372 1023 27 many many JJ 63372 1023 28 writers writer NNS 63372 1023 29 . . . 63372 1024 1 The the DT 63372 1024 2 " " `` 63372 1024 3 apparent apparent JJ 63372 1024 4 size size NN 63372 1024 5 " " '' 63372 1024 6 of of IN 63372 1024 7 the the DT 63372 1024 8 astronomer astronomer NN 63372 1024 9 is be VBZ 63372 1024 10 an an DT 63372 1024 11 analogy analogy NN 63372 1024 12 in in IN 63372 1024 13 point point NN 63372 1024 14 . . . 63372 1025 1 Objects object NNS 63372 1025 2 on on IN 63372 1025 3 the the DT 63372 1025 4 moon moon NN 63372 1025 5 , , , 63372 1025 6 by by IN 63372 1025 7 virtue virtue NN 63372 1025 8 of of IN 63372 1025 9 their -PRON- PRP$ 63372 1025 10 great great JJ 63372 1025 11 distance distance NN 63372 1025 12 , , , 63372 1025 13 look look VB 63372 1025 14 smaller small JJR 63372 1025 15 to to IN 63372 1025 16 observers observer NNS 63372 1025 17 on on IN 63372 1025 18 the the DT 63372 1025 19 earth earth NN 63372 1025 20 than than IN 63372 1025 21 to to IN 63372 1025 22 observers observer NNS 63372 1025 23 on on IN 63372 1025 24 the the DT 63372 1025 25 moon moon NN 63372 1025 26 . . . 63372 1026 1 Do do VBP 63372 1026 2 objects object NNS 63372 1026 3 on on IN 63372 1026 4 the the DT 63372 1026 5 earth earth NN 63372 1026 6 , , , 63372 1026 7 on on IN 63372 1026 8 this this DT 63372 1026 9 account account NN 63372 1026 10 , , , 63372 1026 11 look look VB 63372 1026 12 larger large JJR 63372 1026 13 to to IN 63372 1026 14 a a DT 63372 1026 15 moon moon NN 63372 1026 16 observer observer NN 63372 1026 17 than than IN 63372 1026 18 they -PRON- PRP 63372 1026 19 do do VBP 63372 1026 20 to to IN 63372 1026 21 us -PRON- PRP 63372 1026 22 ? ? . 63372 1027 1 They -PRON- PRP 63372 1027 2 do do VBP 63372 1027 3 not not RB 63372 1027 4 ; ; : 63372 1027 5 any any DT 63372 1027 6 suggestion suggestion NN 63372 1027 7 that that IN 63372 1027 8 they -PRON- PRP 63372 1027 9 do do VBP 63372 1027 10 we -PRON- PRP 63372 1027 11 should should MD 63372 1027 12 receive receive VB 63372 1027 13 with with IN 63372 1027 14 appropriate appropriate JJ 63372 1027 15 scorn scorn NN 63372 1027 16 . . . 63372 1028 1 The the DT 63372 1028 2 variation variation NN 63372 1028 3 in in IN 63372 1028 4 size size NN 63372 1028 5 introduced introduce VBN 63372 1028 6 by by IN 63372 1028 7 distance distance NN 63372 1028 8 is be VBZ 63372 1028 9 reciprocal reciprocal JJ 63372 1028 10 , , , 63372 1028 11 and and CC 63372 1028 12 this this DT 63372 1028 13 reciprocity reciprocity NN 63372 1028 14 does do VBZ 63372 1028 15 not not RB 63372 1028 16 in in IN 63372 1028 17 the the DT 63372 1028 18 least least JJS 63372 1028 19 puzzle puzzle VB 63372 1028 20 us -PRON- PRP 63372 1028 21 . . . 63372 1029 1 Why why WRB 63372 1029 2 , , , 63372 1029 3 then then RB 63372 1029 4 , , , 63372 1029 5 should should MD 63372 1029 6 that that DT 63372 1029 7 introduced introduce VBN 63372 1029 8 by by IN 63372 1029 9 relative relative JJ 63372 1029 10 motion motion NN 63372 1029 11 puzzle puzzle VB 63372 1029 12 us -PRON- PRP 63372 1029 13 ? ? . 63372 1030 1 TIME TIME NNP 63372 1030 2 AND and CC 63372 1030 3 SPACE SPACE NNP 63372 1030 4 IN in IN 63372 1030 5 A a DT 63372 1030 6 SINGLE SINGLE NNS 63372 1030 7 PACKAGE package VB 63372 1030 8 Our -PRON- PRP$ 63372 1030 9 old old JJ 63372 1030 10 , , , 63372 1030 11 accustomed accustomed JJ 63372 1030 12 concepts concept NNS 63372 1030 13 of of IN 63372 1030 14 time time NN 63372 1030 15 and and CC 63372 1030 16 space space NN 63372 1030 17 , , , 63372 1030 18 which which WDT 63372 1030 19 have have VBP 63372 1030 20 grown grow VBN 63372 1030 21 up up RP 63372 1030 22 through through IN 63372 1030 23 countless countless JJ 63372 1030 24 generations generation NNS 63372 1030 25 of of IN 63372 1030 26 our -PRON- PRP$ 63372 1030 27 ancestors ancestor NNS 63372 1030 28 , , , 63372 1030 29 and and CC 63372 1030 30 been be VBN 63372 1030 31 handed hand VBN 63372 1030 32 down down RP 63372 1030 33 to to IN 63372 1030 34 us -PRON- PRP 63372 1030 35 in in IN 63372 1030 36 the the DT 63372 1030 37 form form NN 63372 1030 38 in in IN 63372 1030 39 which which WDT 63372 1030 40 we -PRON- PRP 63372 1030 41 are be VBP 63372 1030 42 familiar familiar JJ 63372 1030 43 with with IN 63372 1030 44 them -PRON- PRP 63372 1030 45 , , , 63372 1030 46 leave leave VB 63372 1030 47 no no DT 63372 1030 48 room room NN 63372 1030 49 for for IN 63372 1030 50 a a DT 63372 1030 51 condition condition NN 63372 1030 52 where where WRB 63372 1030 53 time time NN 63372 1030 54 intervals interval NNS 63372 1030 55 and and CC 63372 1030 56 space space NN 63372 1030 57 intervals interval NNS 63372 1030 58 are be VBP 63372 1030 59 not not RB 63372 1030 60 universally universally RB 63372 1030 61 fixed fix VBN 63372 1030 62 and and CC 63372 1030 63 invariant invariant JJ 63372 1030 64 . . . 63372 1031 1 They -PRON- PRP 63372 1031 2 leave leave VBP 63372 1031 3 no no DT 63372 1031 4 room room NN 63372 1031 5 for for IN 63372 1031 6 us -PRON- PRP 63372 1031 7 to to TO 63372 1031 8 say say VB 63372 1031 9 that that IN 63372 1031 10 ] ] -RRB- 63372 1031 11 * * NFP 63372 1031 12 [ [ -LRB- 63372 1031 13 one one PRP 63372 1031 14 can can MD 63372 1031 15 not not RB 63372 1031 16 know know VB 63372 1031 17 the the DT 63372 1031 18 time time NN 63372 1031 19 until until IN 63372 1031 20 he -PRON- PRP 63372 1031 21 knows know VBZ 63372 1031 22 where where WRB 63372 1031 23 he -PRON- PRP 63372 1031 24 is be VBZ 63372 1031 25 , , , 63372 1031 26 nor nor CC 63372 1031 27 where where WRB 63372 1031 28 he -PRON- PRP 63372 1031 29 is be VBZ 63372 1031 30 until until IN 63372 1031 31 he -PRON- PRP 63372 1031 32 knows know VBZ 63372 1031 33 the the DT 63372 1031 34 time,]220 time,]220 NNP 63372 1031 35 [ [ -LRB- 63372 1031 36 nor nor CC 63372 1031 37 either either DT 63372 1031 38 time time NN 63372 1031 39 or or CC 63372 1031 40 place place NN 63372 1031 41 until until IN 63372 1031 42 he -PRON- PRP 63372 1031 43 knows know VBZ 63372 1031 44 something something NN 63372 1031 45 about about IN 63372 1031 46 velocity velocity NN 63372 1031 47 . . . 63372 1032 1 But but CC 63372 1032 2 in in IN 63372 1032 3 this this DT 63372 1032 4 concise concise JJ 63372 1032 5 formulation formulation NN 63372 1032 6 of of IN 63372 1032 7 the the DT 63372 1032 8 difference difference NN 63372 1032 9 between between IN 63372 1032 10 what what WP 63372 1032 11 we -PRON- PRP 63372 1032 12 have have VBP 63372 1032 13 always always RB 63372 1032 14 believed believe VBN 63372 1032 15 and and CC 63372 1032 16 what what WP 63372 1032 17 we -PRON- PRP 63372 1032 18 have have VBP 63372 1032 19 seen see VBN 63372 1032 20 to to TO 63372 1032 21 be be VB 63372 1032 22 among among IN 63372 1032 23 the the DT 63372 1032 24 consequences consequence NNS 63372 1032 25 of of IN 63372 1032 26 Einstein Einstein NNP 63372 1032 27 's 's POS 63372 1032 28 postulates postulate NNS 63372 1032 29 of of IN 63372 1032 30 the the DT 63372 1032 31 universal universal JJ 63372 1032 32 relativity relativity NN 63372 1032 33 of of IN 63372 1032 34 uniform uniform JJ 63372 1032 35 motion motion NN 63372 1032 36 , , , 63372 1032 37 we -PRON- PRP 63372 1032 38 may may MD 63372 1032 39 at at IN 63372 1032 40 once once RB 63372 1032 41 locate locate VB 63372 1032 42 the the DT 63372 1032 43 assumption assumption NN 63372 1032 44 which which WDT 63372 1032 45 , , , 63372 1032 46 underlying underlie VBG 63372 1032 47 all all PDT 63372 1032 48 the the DT 63372 1032 49 old old JJ 63372 1032 50 ideas idea NNS 63372 1032 51 , , , 63372 1032 52 is be VBZ 63372 1032 53 the the DT 63372 1032 54 root root NN 63372 1032 55 of of IN 63372 1032 56 all all PDT 63372 1032 57 the the DT 63372 1032 58 trouble trouble NN 63372 1032 59 . . . 63372 1033 1 The the DT 63372 1033 2 fact fact NN 63372 1033 3 is be VBZ 63372 1033 4 we -PRON- PRP 63372 1033 5 have have VBP 63372 1033 6 always always RB 63372 1033 7 supposed suppose VBN 63372 1033 8 time time NN 63372 1033 9 and and CC 63372 1033 10 space space NN 63372 1033 11 to to TO 63372 1033 12 be be VB 63372 1033 13 absolutely absolutely RB 63372 1033 14 distinct distinct JJ 63372 1033 15 and and CC 63372 1033 16 independent independent JJ 63372 1033 17 entities entity NNS 63372 1033 18 . . . 63372 1034 1 ] ] -RRB- 63372 1034 2 * * NFP 63372 1034 3 [ [ -LRB- 63372 1034 4 The the DT 63372 1034 5 concept concept NN 63372 1034 6 of of IN 63372 1034 7 time time NN 63372 1034 8 has have VBZ 63372 1034 9 ever ever RB 63372 1034 10 been be VBN 63372 1034 11 one one CD 63372 1034 12 of of IN 63372 1034 13 the the DT 63372 1034 14 most most RBS 63372 1034 15 absolute absolute JJ 63372 1034 16 of of IN 63372 1034 17 all all PDT 63372 1034 18 the the DT 63372 1034 19 categories category NNS 63372 1034 20 . . . 63372 1035 1 It -PRON- PRP 63372 1035 2 is be VBZ 63372 1035 3 true true JJ 63372 1035 4 that that IN 63372 1035 5 there there EX 63372 1035 6 is be VBZ 63372 1035 7 much much JJ 63372 1035 8 of of IN 63372 1035 9 the the DT 63372 1035 10 mysterious mysterious JJ 63372 1035 11 about about IN 63372 1035 12 time time NN 63372 1035 13 ; ; : 63372 1035 14 and and CC 63372 1035 15 philosophers philosopher NNS 63372 1035 16 have have VBP 63372 1035 17 spent spend VBN 63372 1035 18 much much JJ 63372 1035 19 effort effort NN 63372 1035 20 trying try VBG 63372 1035 21 to to TO 63372 1035 22 clear clear VB 63372 1035 23 up up RP 63372 1035 24 the the DT 63372 1035 25 mystery mystery NN 63372 1035 26 -- -- : 63372 1035 27 with with IN 63372 1035 28 unsatisfactory unsatisfactory JJ 63372 1035 29 results result NNS 63372 1035 30 . . . 63372 1036 1 However however RB 63372 1036 2 , , , 63372 1036 3 to to IN 63372 1036 4 most most JJS 63372 1036 5 persons person NNS 63372 1036 6 it -PRON- PRP 63372 1036 7 has have VBZ 63372 1036 8 seemed seem VBN 63372 1036 9 possible possible JJ 63372 1036 10 to to TO 63372 1036 11 adopt adopt VB 63372 1036 12 an an DT 63372 1036 13 arbitrary arbitrary JJ 63372 1036 14 measure measure NN 63372 1036 15 or or CC 63372 1036 16 unit unit NN 63372 1036 17 of of IN 63372 1036 18 duration duration NN 63372 1036 19 and and CC 63372 1036 20 to to TO 63372 1036 21 say say VB 63372 1036 22 that that IN 63372 1036 23 this this DT 63372 1036 24 is be VBZ 63372 1036 25 absolute absolute JJ 63372 1036 26 , , , 63372 1036 27 independent independent JJ 63372 1036 28 of of IN 63372 1036 29 the the DT 63372 1036 30 state state NN 63372 1036 31 of of IN 63372 1036 32 the the DT 63372 1036 33 body body NN 63372 1036 34 or or CC 63372 1036 35 bodies body NNS 63372 1036 36 on on IN 63372 1036 37 which which WDT 63372 1036 38 it -PRON- PRP 63372 1036 39 is be VBZ 63372 1036 40 used use VBN 63372 1036 41 for for IN 63372 1036 42 practical practical JJ 63372 1036 43 purposes purpose NNS 63372 1036 44 . . . 63372 1037 1 ] ] -RRB- 63372 1037 2 272 272 CD 63372 1037 3 [ [ -LRB- 63372 1037 4 Time Time NNP 63372 1037 5 has have VBZ 63372 1037 6 thus thus RB 63372 1037 7 been be VBN 63372 1037 8 regarded regard VBN 63372 1037 9 as as IN 63372 1037 10 something something NN 63372 1037 11 which which WDT 63372 1037 12 of of IN 63372 1037 13 itself -PRON- PRP 63372 1037 14 flows flow VBZ 63372 1037 15 on on IN 63372 1037 16 regularly regularly RB 63372 1037 17 and and CC 63372 1037 18 continuously continuously RB 63372 1037 19 , , , 63372 1037 20 regardless regardless RB 63372 1037 21 of of IN 63372 1037 22 physical physical JJ 63372 1037 23 events event NNS 63372 1037 24 concerning concern VBG 63372 1037 25 matter matter NN 63372 1037 26 . . . 63372 1038 1 ] ] -RRB- 63372 1038 2 150 150 CD 63372 1038 3 [ [ -LRB- 63372 1038 4 In in IN 63372 1038 5 other other JJ 63372 1038 6 words word NNS 63372 1038 7 , , , 63372 1038 8 according accord VBG 63372 1038 9 to to IN 63372 1038 10 this this DT 63372 1038 11 view view NN 63372 1038 12 , , , 63372 1038 13 time time NN 63372 1038 14 is be VBZ 63372 1038 15 not not RB 63372 1038 16 affected affect VBN 63372 1038 17 by by IN 63372 1038 18 conditions condition NNS 63372 1038 19 or or CC 63372 1038 20 motions motion NNS 63372 1038 21 in in IN 63372 1038 22 space space NN 63372 1038 23 . . . 63372 1039 1 ] ] -RRB- 63372 1039 2 272 272 CD 63372 1039 3 [ [ -LRB- 63372 1039 4 We -PRON- PRP 63372 1039 5 have have VBP 63372 1039 6 deliberately deliberately RB 63372 1039 7 chosen choose VBN 63372 1039 8 to to TO 63372 1039 9 ignore ignore VB 63372 1039 10 the the DT 63372 1039 11 obvious obvious JJ 63372 1039 12 fact fact NN 63372 1039 13 that that IN 63372 1039 14 time time NN 63372 1039 15 can can MD 63372 1039 16 never never RB 63372 1039 17 appear appear VB 63372 1039 18 to to IN 63372 1039 19 us -PRON- PRP 63372 1039 20 , , , 63372 1039 21 be be VB 63372 1039 22 measured measure VBN 63372 1039 23 by by IN 63372 1039 24 us -PRON- PRP 63372 1039 25 , , , 63372 1039 26 or or CC 63372 1039 27 have have VB 63372 1039 28 the the DT 63372 1039 29 least least JJS 63372 1039 30 significance significance NN 63372 1039 31 for for IN 63372 1039 32 us -PRON- PRP 63372 1039 33 , , , 63372 1039 34 save save IN 63372 1039 35 as as IN 63372 1039 36 a a DT 63372 1039 37 measure measure NN 63372 1039 38 of of IN 63372 1039 39 something something NN 63372 1039 40 that that WDT 63372 1039 41 is be VBZ 63372 1039 42 closely closely RB 63372 1039 43 tied tie VBN 63372 1039 44 up up RP 63372 1039 45 with with IN 63372 1039 46 space space NN 63372 1039 47 and and CC 63372 1039 48 with with IN 63372 1039 49 material material NN 63372 1039 50 space space NN 63372 1039 51 - - HYPH 63372 1039 52 dimensions dimension NNS 63372 1039 53 . . . 63372 1040 1 Not not RB 63372 1040 2 merely merely RB 63372 1040 3 have have VBP 63372 1040 4 we -PRON- PRP 63372 1040 5 supposed suppose VBN 63372 1040 6 that that DT 63372 1040 7 time time NN 63372 1040 8 and and CC 63372 1040 9 space space NN 63372 1040 10 are be VBP 63372 1040 11 separated separate VBN 63372 1040 12 in in IN 63372 1040 13 nature nature NN 63372 1040 14 as as IN 63372 1040 15 in in IN 63372 1040 16 our -PRON- PRP$ 63372 1040 17 easiest easy JJS 63372 1040 18 perceptions perception NNS 63372 1040 19 , , , 63372 1040 20 but but CC 63372 1040 21 we -PRON- PRP 63372 1040 22 have have VBP 63372 1040 23 supposed suppose VBN 63372 1040 24 that that IN 63372 1040 25 they -PRON- PRP 63372 1040 26 are be VBP 63372 1040 27 of of IN 63372 1040 28 such such JJ 63372 1040 29 fundamentally fundamentally RB 63372 1040 30 distinct distinct JJ 63372 1040 31 character character NN 63372 1040 32 that that IN 63372 1040 33 they -PRON- PRP 63372 1040 34 can can MD 63372 1040 35 never never RB 63372 1040 36 be be VB 63372 1040 37 tied tie VBN 63372 1040 38 up up RP 63372 1040 39 together together RB 63372 1040 40 . . . 63372 1041 1 In in IN 63372 1041 2 no no DT 63372 1041 3 way way NN 63372 1041 4 whatever whatever WDT 63372 1041 5 , , , 63372 1041 6 assumes assume VBZ 63372 1041 7 the the DT 63372 1041 8 Euclidean euclidean JJ 63372 1041 9 and and CC 63372 1041 10 Newtonian newtonian JJ 63372 1041 11 intellect intellect NN 63372 1041 12 , , , 63372 1041 13 may may MD 63372 1041 14 space space NN 63372 1041 15 ever ever RB 63372 1041 16 depend depend VB 63372 1041 17 upon upon IN 63372 1041 18 time time NN 63372 1041 19 or or CC 63372 1041 20 time time NN 63372 1041 21 upon upon IN 63372 1041 22 space space NN 63372 1041 23 . . . 63372 1042 1 This this DT 63372 1042 2 is be VBZ 63372 1042 3 the the DT 63372 1042 4 assumption assumption NN 63372 1042 5 which which WDT 63372 1042 6 we -PRON- PRP 63372 1042 7 must must MD 63372 1042 8 remove remove VB 63372 1042 9 in in IN 63372 1042 10 order order NN 63372 1042 11 to to TO 63372 1042 12 attain attain VB 63372 1042 13 universal universal JJ 63372 1042 14 relativity relativity NN 63372 1042 15 ; ; : 63372 1042 16 and and CC 63372 1042 17 while while IN 63372 1042 18 it -PRON- PRP 63372 1042 19 may may MD 63372 1042 20 come come VB 63372 1042 21 hard hard RB 63372 1042 22 , , , 63372 1042 23 it -PRON- PRP 63372 1042 24 will will MD 63372 1042 25 not not RB 63372 1042 26 come come VB 63372 1042 27 so so RB 63372 1042 28 hard hard RB 63372 1042 29 as as IN 63372 1042 30 the the DT 63372 1042 31 alternative alternative NN 63372 1042 32 . . . 63372 1043 1 For for IN 63372 1043 2 this this DT 63372 1043 3 alternative alternative NN 63372 1043 4 is be VBZ 63372 1043 5 nothing nothing NN 63372 1043 6 other other JJ 63372 1043 7 than than IN 63372 1043 8 to to TO 63372 1043 9 abandon abandon VB 63372 1043 10 universal universal JJ 63372 1043 11 relativity relativity NN 63372 1043 12 . . . 63372 1044 1 This this DT 63372 1044 2 course course NN 63372 1044 3 would would MD 63372 1044 4 leave leave VB 63372 1044 5 us -PRON- PRP 63372 1044 6 with with IN 63372 1044 7 logical logical JJ 63372 1044 8 contradictions contradiction NNS 63372 1044 9 and and CC 63372 1044 10 discrepancies discrepancy NNS 63372 1044 11 that that WDT 63372 1044 12 could could MD 63372 1044 13 not not RB 63372 1044 14 be be VB 63372 1044 15 resolved resolve VBN 63372 1044 16 by by IN 63372 1044 17 any any DT 63372 1044 18 revision revision NN 63372 1044 19 of of IN 63372 1044 20 fundamental fundamental JJ 63372 1044 21 concepts concept NNS 63372 1044 22 or or CC 63372 1044 23 by by IN 63372 1044 24 any any DT 63372 1044 25 cleaning cleaning NN 63372 1044 26 out out IN 63372 1044 27 of of IN 63372 1044 28 the the DT 63372 1044 29 Augean augean JJ 63372 1044 30 stables stable NNS 63372 1044 31 of of IN 63372 1044 32 old old JJ 63372 1044 33 assumptions assumption NNS 63372 1044 34 ; ; : 63372 1044 35 whereas whereas IN 63372 1044 36 the the DT 63372 1044 37 relativity relativity NN 63372 1044 38 doctrine doctrine NN 63372 1044 39 as as IN 63372 1044 40 built build VBN 63372 1044 41 up up RP 63372 1044 42 by by IN 63372 1044 43 Einstein Einstein NNP 63372 1044 44 requires require VBZ 63372 1044 45 only only RB 63372 1044 46 such such PDT 63372 1044 47 a a DT 63372 1044 48 cleaning cleaning NN 63372 1044 49 out out RP 63372 1044 50 in in IN 63372 1044 51 order order NN 63372 1044 52 to to TO 63372 1044 53 leave leave VB 63372 1044 54 us -PRON- PRP 63372 1044 55 with with IN 63372 1044 56 a a DT 63372 1044 57 strictly strictly RB 63372 1044 58 logical logical JJ 63372 1044 59 and and CC 63372 1044 60 consistent consistent JJ 63372 1044 61 whole whole NN 63372 1044 62 . . . 63372 1045 1 The the DT 63372 1045 2 rôle rôle NNP 63372 1045 3 of of IN 63372 1045 4 Hercules Hercules NNP 63372 1045 5 is be VBZ 63372 1045 6 a a DT 63372 1045 7 very very RB 63372 1045 8 difficult difficult JJ 63372 1045 9 one one NN 63372 1045 10 for for IN 63372 1045 11 us -PRON- PRP 63372 1045 12 to to TO 63372 1045 13 play play VB 63372 1045 14 . . . 63372 1046 1 Einstein Einstein NNP 63372 1046 2 has have VBZ 63372 1046 3 played play VBN 63372 1046 4 it -PRON- PRP 63372 1046 5 for for IN 63372 1046 6 the the DT 63372 1046 7 race race NN 63372 1046 8 at at IN 63372 1046 9 large large JJ 63372 1046 10 , , , 63372 1046 11 but but CC 63372 1046 12 each each DT 63372 1046 13 of of IN 63372 1046 14 us -PRON- PRP 63372 1046 15 must must MD 63372 1046 16 follow follow VB 63372 1046 17 him -PRON- PRP 63372 1046 18 in in IN 63372 1046 19 playing play VBG 63372 1046 20 it -PRON- PRP 63372 1046 21 for for IN 63372 1046 22 himself -PRON- PRP 63372 1046 23 . . . 63372 1047 1 SOME some DT 63372 1047 2 FURTHER further JJ 63372 1047 3 CONSEQUENCES consequence NNS 63372 1047 4 I -PRON- PRP 63372 1047 5 need need VBP 63372 1047 6 not not RB 63372 1047 7 trespass trespass VB 63372 1047 8 upon upon IN 63372 1047 9 the the DT 63372 1047 10 subject subject JJ 63372 1047 11 matter matter NN 63372 1047 12 of of IN 63372 1047 13 those those DT 63372 1047 14 essays essay NNS 63372 1047 15 which which WDT 63372 1047 16 appear appear VBP 63372 1047 17 in in IN 63372 1047 18 full full JJ 63372 1047 19 by by IN 63372 1047 20 going go VBG 63372 1047 21 here here RB 63372 1047 22 into into IN 63372 1047 23 any any DT 63372 1047 24 details detail NNS 63372 1047 25 with with IN 63372 1047 26 regard regard NN 63372 1047 27 to to IN 63372 1047 28 the the DT 63372 1047 29 manner manner NN 63372 1047 30 in in IN 63372 1047 31 which which WDT 63372 1047 32 time time NN 63372 1047 33 and and CC 63372 1047 34 space space NN 63372 1047 35 are be VBP 63372 1047 36 finally finally RB 63372 1047 37 found find VBN 63372 1047 38 to to TO 63372 1047 39 depend depend VB 63372 1047 40 upon upon IN 63372 1047 41 one one CD 63372 1047 42 another another DT 63372 1047 43 and and CC 63372 1047 44 to to TO 63372 1047 45 form form VB 63372 1047 46 the the DT 63372 1047 47 parts part NNS 63372 1047 48 of of IN 63372 1047 49 a a DT 63372 1047 50 single single JJ 63372 1047 51 universal universal JJ 63372 1047 52 whole whole NN 63372 1047 53 . . . 63372 1048 1 But but CC 63372 1048 2 I -PRON- PRP 63372 1048 3 may may MD 63372 1048 4 appropriately appropriately RB 63372 1048 5 point point VB 63372 1048 6 out out RP 63372 1048 7 that that IN 63372 1048 8 if if IN 63372 1048 9 time time NN 63372 1048 10 and and CC 63372 1048 11 space space NN 63372 1048 12 are be VBP 63372 1048 13 found find VBN 63372 1048 14 to to TO 63372 1048 15 be be VB 63372 1048 16 relative relative JJ 63372 1048 17 , , , 63372 1048 18 we -PRON- PRP 63372 1048 19 may may MD 63372 1048 20 surely surely RB 63372 1048 21 expect expect VB 63372 1048 22 some some DT 63372 1048 23 of of IN 63372 1048 24 the the DT 63372 1048 25 less less RBR 63372 1048 26 fundamental fundamental JJ 63372 1048 27 concepts concept NNS 63372 1048 28 that that WDT 63372 1048 29 depend depend VBP 63372 1048 30 upon upon IN 63372 1048 31 them -PRON- PRP 63372 1048 32 to to TO 63372 1048 33 be be VB 63372 1048 34 relative relative JJ 63372 1048 35 also also RB 63372 1048 36 . . . 63372 1049 1 In in IN 63372 1049 2 this this DT 63372 1049 3 expectation expectation NN 63372 1049 4 we -PRON- PRP 63372 1049 5 are be VBP 63372 1049 6 not not RB 63372 1049 7 disappointed disappointed JJ 63372 1049 8 . . . 63372 1050 1 For for IN 63372 1050 2 one one CD 63372 1050 3 thing thing NN 63372 1050 4 , , , 63372 1050 5 ] ] -RRB- 63372 1050 6 * * NFP 63372 1050 7 [ [ -LRB- 63372 1050 8 mass mass NN 63372 1050 9 has have VBZ 63372 1050 10 always always RB 63372 1050 11 been be VBN 63372 1050 12 assumed assume VBN 63372 1050 13 to to TO 63372 1050 14 be be VB 63372 1050 15 a a DT 63372 1050 16 constant constant JJ 63372 1050 17 , , , 63372 1050 18 independent independent JJ 63372 1050 19 of of IN 63372 1050 20 any any DT 63372 1050 21 motion motion NN 63372 1050 22 or or CC 63372 1050 23 energy energy NN 63372 1050 24 which which WDT 63372 1050 25 it -PRON- PRP 63372 1050 26 might may MD 63372 1050 27 possess possess VB 63372 1050 28 . . . 63372 1051 1 Just just RB 63372 1051 2 as as IN 63372 1051 3 lengths length NNS 63372 1051 4 and and CC 63372 1051 5 times time NNS 63372 1051 6 depend depend VBP 63372 1051 7 upon upon IN 63372 1051 8 relative relative JJ 63372 1051 9 motion motion NN 63372 1051 10 , , , 63372 1051 11 however however RB 63372 1051 12 , , , 63372 1051 13 it -PRON- PRP 63372 1051 14 is be VBZ 63372 1051 15 found find VBN 63372 1051 16 that that IN 63372 1051 17 mass mass NN 63372 1051 18 , , , 63372 1051 19 which which WDT 63372 1051 20 is be VBZ 63372 1051 21 the the DT 63372 1051 22 remaining remain VBG 63372 1051 23 factor factor NN 63372 1051 24 in in IN 63372 1051 25 the the DT 63372 1051 26 expression expression NN 63372 1051 27 for for IN 63372 1051 28 energy energy NN 63372 1051 29 due due IN 63372 1051 30 to to IN 63372 1051 31 motion motion NN 63372 1051 32 , , , 63372 1051 33 also also RB 63372 1051 34 depends depend VBZ 63372 1051 35 upon upon IN 63372 1051 36 relative relative JJ 63372 1051 37 velocities velocity NNS 63372 1051 38 . . . 63372 1052 1 The the DT 63372 1052 2 dependence dependence NN 63372 1052 3 is be VBZ 63372 1052 4 such such JJ 63372 1052 5 that that IN 63372 1052 6 if if IN 63372 1052 7 a a DT 63372 1052 8 body body NN 63372 1052 9 takes take VBZ 63372 1052 10 up up RP 63372 1052 11 an an DT 63372 1052 12 amount amount NN 63372 1052 13 of of IN 63372 1052 14 energy energy NN 63372 1052 15 $ $ $ 63372 1052 16 E$ e$ NN 63372 1052 17 with with IN 63372 1052 18 respect respect NN 63372 1052 19 to to IN 63372 1052 20 a a DT 63372 1052 21 certain certain JJ 63372 1052 22 system system NN 63372 1052 23 , , , 63372 1052 24 the the DT 63372 1052 25 body body NN 63372 1052 26 behaves behave VBZ 63372 1052 27 , , , 63372 1052 28 to to IN 63372 1052 29 measurements measurement NNS 63372 1052 30 made make VBN 63372 1052 31 from from IN 63372 1052 32 that that DT 63372 1052 33 system system NN 63372 1052 34 , , , 63372 1052 35 as as IN 63372 1052 36 though though IN 63372 1052 37 its -PRON- PRP$ 63372 1052 38 mass mass NN 63372 1052 39 had have VBD 63372 1052 40 been be VBN 63372 1052 41 increased increase VBN 63372 1052 42 by by IN 63372 1052 43 an an DT 63372 1052 44 amount amount NN 63372 1052 45 $ $ $ 63372 1052 46 E e NN 63372 1052 47 / / SYM 63372 1052 48 C^2 C^2 NNP 63372 1052 49 $ $ $ 63372 1052 50 , , , 63372 1052 51 where where WRB 63372 1052 52 $ $ $ 63372 1052 53 C$ c$ $ 63372 1052 54 is be VBZ 63372 1052 55 as as RB 63372 1052 56 usual usual JJ 63372 1052 57 the the DT 63372 1052 58 velocity velocity NN 63372 1052 59 of of IN 63372 1052 60 light light NN 63372 1052 61 . . . 63372 1053 1 ] ] -RRB- 63372 1053 2 194 194 CD 63372 1053 3 [ [ -LRB- 63372 1053 4 This this DT 63372 1053 5 should should MD 63372 1053 6 not not RB 63372 1053 7 startle startle VB 63372 1053 8 us -PRON- PRP 63372 1053 9 . . . 63372 1054 1 The the DT 63372 1054 2 key key NN 63372 1054 3 to to IN 63372 1054 4 the the DT 63372 1054 5 situation situation NN 63372 1054 6 lies lie VBZ 63372 1054 7 in in IN 63372 1054 8 the the DT 63372 1054 9 italicized italicize VBN 63372 1054 10 words word NNS 63372 1054 11 above above RB 63372 1054 12 , , , 63372 1054 13 which which WDT 63372 1054 14 indicate indicate VBP 63372 1054 15 that that IN 63372 1054 16 the the DT 63372 1054 17 answer answer NN 63372 1054 18 to to IN 63372 1054 19 the the DT 63372 1054 20 query query NN 63372 1054 21 whether whether IN 63372 1054 22 a a DT 63372 1054 23 body body NN 63372 1054 24 has have VBZ 63372 1054 25 taken take VBN 63372 1054 26 up up RP 63372 1054 27 energy energy NN 63372 1054 28 or or CC 63372 1054 29 not not RB 63372 1054 30 depends depend VBZ 63372 1054 31 upon upon IN 63372 1054 32 the the DT 63372 1054 33 seat seat NN 63372 1054 34 of of IN 63372 1054 35 observation observation NN 63372 1054 36 . . . 63372 1055 1 If if IN 63372 1055 2 I -PRON- PRP 63372 1055 3 take take VBP 63372 1055 4 up up RP 63372 1055 5 my -PRON- PRP$ 63372 1055 6 location location NN 63372 1055 7 on on IN 63372 1055 8 the the DT 63372 1055 9 system system NN 63372 1055 10 $ $ $ 63372 1055 11 S$ s$ CD 63372 1055 12 , , , 63372 1055 13 and and CC 63372 1055 14 you -PRON- PRP 63372 1055 15 on on IN 63372 1055 16 the the DT 63372 1055 17 system system NN 63372 1055 18 $ $ $ 63372 1055 19 S'$ s'$ NN 63372 1055 20 , , , 63372 1055 21 and and CC 63372 1055 22 if if IN 63372 1055 23 we -PRON- PRP 63372 1055 24 find find VBP 63372 1055 25 that that IN 63372 1055 26 we -PRON- PRP 63372 1055 27 are be VBP 63372 1055 28 in in IN 63372 1055 29 relative relative JJ 63372 1055 30 motion motion NN 63372 1055 31 , , , 63372 1055 32 we -PRON- PRP 63372 1055 33 must must MD 63372 1055 34 make make VB 63372 1055 35 some some DT 63372 1055 36 assumption assumption NN 63372 1055 37 about about IN 63372 1055 38 the the DT 63372 1055 39 energy energy NN 63372 1055 40 which which WDT 63372 1055 41 was be VBD 63372 1055 42 necessary necessary JJ 63372 1055 43 , , , 63372 1055 44 initially initially RB 63372 1055 45 , , , 63372 1055 46 to to TO 63372 1055 47 get get VB 63372 1055 48 us -PRON- PRP 63372 1055 49 into into IN 63372 1055 50 this this DT 63372 1055 51 condition condition NN 63372 1055 52 . . . 63372 1056 1 Suppose suppose VB 63372 1056 2 we -PRON- PRP 63372 1056 3 are be VBP 63372 1056 4 on on IN 63372 1056 5 two two CD 63372 1056 6 passing pass VBG 63372 1056 7 trains train NNS 63372 1056 8 . . . 63372 1057 1 ] ] -RRB- 63372 1057 2 * * NFP 63372 1057 3 [ [ -LRB- 63372 1057 4 The the DT 63372 1057 5 chances chance NNS 63372 1057 6 are be VBP 63372 1057 7 that that IN 63372 1057 8 either either DT 63372 1057 9 of of IN 63372 1057 10 us -PRON- PRP 63372 1057 11 will will MD 63372 1057 12 assume assume VB 63372 1057 13 that that IN 63372 1057 14 he -PRON- PRP 63372 1057 15 is be VBZ 63372 1057 16 at at IN 63372 1057 17 rest rest NN 63372 1057 18 and and CC 63372 1057 19 that that IN 63372 1057 20 it -PRON- PRP 63372 1057 21 is be VBZ 63372 1057 22 the the DT 63372 1057 23 other other JJ 63372 1057 24 train train NN 63372 1057 25 which which WDT 63372 1057 26 moves move VBZ 63372 1057 27 , , , 63372 1057 28 although although IN 63372 1057 29 if if IN 63372 1057 30 sufficiently sufficiently RB 63372 1057 31 sophisticated sophisticated JJ 63372 1057 32 one one CD 63372 1057 33 of of IN 63372 1057 34 us -PRON- PRP 63372 1057 35 may may MD 63372 1057 36 assume assume VB 63372 1057 37 that that IN 63372 1057 38 he -PRON- PRP 63372 1057 39 is be VBZ 63372 1057 40 moving move VBG 63372 1057 41 and and CC 63372 1057 42 that that IN 63372 1057 43 the the DT 63372 1057 44 other other JJ 63372 1057 45 train train NN 63372 1057 46 is be VBZ 63372 1057 47 at at IN 63372 1057 48 rest rest NN 63372 1057 49 . . . 63372 1058 1 ] ] -RRB- 63372 1058 2 272 272 CD 63372 1058 3 [ [ -LRB- 63372 1058 4 Whatever whatever WDT 63372 1058 5 our -PRON- PRP$ 63372 1058 6 assumption assumption NN 63372 1058 7 , , , 63372 1058 8 whatever whatever WDT 63372 1058 9 the the DT 63372 1058 10 system system NN 63372 1058 11 , , , 63372 1058 12 the the DT 63372 1058 13 localization localization NN 63372 1058 14 of of IN 63372 1058 15 the the DT 63372 1058 16 energy energy NN 63372 1058 17 that that WDT 63372 1058 18 is be VBZ 63372 1058 19 carried carry VBN 63372 1058 20 in in IN 63372 1058 21 latent latent NN 63372 1058 22 form form NN 63372 1058 23 by by IN 63372 1058 24 our -PRON- PRP$ 63372 1058 25 systems system NNS 63372 1058 26 depends depend VBZ 63372 1058 27 upon upon IN 63372 1058 28 this this DT 63372 1058 29 assumption assumption NN 63372 1058 30 . . . 63372 1059 1 Indeed indeed RB 63372 1059 2 , , , 63372 1059 3 if if IN 63372 1059 4 our -PRON- PRP$ 63372 1059 5 systems system NNS 63372 1059 6 are be VBP 63372 1059 7 of of IN 63372 1059 8 differing differ VBG 63372 1059 9 mass mass NN 63372 1059 10 , , , 63372 1059 11 our -PRON- PRP$ 63372 1059 12 assumptions assumption NNS 63372 1059 13 will will MD 63372 1059 14 even even RB 63372 1059 15 govern govern VB 63372 1059 16 our -PRON- PRP$ 63372 1059 17 ideas idea NNS 63372 1059 18 of of IN 63372 1059 19 the the DT 63372 1059 20 amount amount NN 63372 1059 21 of of IN 63372 1059 22 energy energy NN 63372 1059 23 which which WDT 63372 1059 24 is be VBZ 63372 1059 25 represented represent VBN 63372 1059 26 by by IN 63372 1059 27 our -PRON- PRP$ 63372 1059 28 relative relative JJ 63372 1059 29 motion motion NN 63372 1059 30 ; ; : 63372 1059 31 if if IN 63372 1059 32 your -PRON- PRP$ 63372 1059 33 system system NN 63372 1059 34 be be VBP 63372 1059 35 the the DT 63372 1059 36 more more RBR 63372 1059 37 massive massive JJ 63372 1059 38 , , , 63372 1059 39 more more JJR 63372 1059 40 energy energy NN 63372 1059 41 would would MD 63372 1059 42 have have VB 63372 1059 43 to to TO 63372 1059 44 be be VB 63372 1059 45 localized localize VBN 63372 1059 46 in in IN 63372 1059 47 it -PRON- PRP 63372 1059 48 than than IN 63372 1059 49 in in IN 63372 1059 50 mine -PRON- PRP 63372 1059 51 to to TO 63372 1059 52 produce produce VB 63372 1059 53 our -PRON- PRP$ 63372 1059 54 relative relative JJ 63372 1059 55 motion motion NN 63372 1059 56 . . . 63372 1060 1 If if IN 63372 1060 2 we -PRON- PRP 63372 1060 3 did do VBD 63372 1060 4 not not RB 63372 1060 5 have have VB 63372 1060 6 the the DT 63372 1060 7 universal universal JJ 63372 1060 8 principle principle NN 63372 1060 9 of of IN 63372 1060 10 relativity relativity NN 63372 1060 11 to to TO 63372 1060 12 forbid forbid VB 63372 1060 13 , , , 63372 1060 14 we -PRON- PRP 63372 1060 15 might may MD 63372 1060 16 make make VB 63372 1060 17 an an DT 63372 1060 18 arbitrary arbitrary JJ 63372 1060 19 assumption assumption NN 63372 1060 20 about about IN 63372 1060 21 our -PRON- PRP$ 63372 1060 22 motions motion NNS 63372 1060 23 and and CC 63372 1060 24 hence hence RB 63372 1060 25 about about IN 63372 1060 26 our -PRON- PRP$ 63372 1060 27 respective respective JJ 63372 1060 28 latent latent NN 63372 1060 29 energies energy NNS 63372 1060 30 ; ; : 63372 1060 31 in in IN 63372 1060 32 the the DT 63372 1060 33 presence presence NN 63372 1060 34 of of IN 63372 1060 35 this this DT 63372 1060 36 veto veto NN 63372 1060 37 , , , 63372 1060 38 the the DT 63372 1060 39 only only JJ 63372 1060 40 chance chance NN 63372 1060 41 of of IN 63372 1060 42 adjustment adjustment NN 63372 1060 43 lies lie VBZ 63372 1060 44 in in IN 63372 1060 45 our -PRON- PRP$ 63372 1060 46 masses masse NNS 63372 1060 47 , , , 63372 1060 48 which which WDT 63372 1060 49 must must MD 63372 1060 50 differ differ VB 63372 1060 51 according accord VBG 63372 1060 52 to to IN 63372 1060 53 whether whether IN 63372 1060 54 you -PRON- PRP 63372 1060 55 or or CC 63372 1060 56 I -PRON- PRP 63372 1060 57 observe observe VBP 63372 1060 58 them -PRON- PRP 63372 1060 59 . . . 63372 1061 1 ] ] -RRB- 63372 1061 2 * * NFP 63372 1061 3 [ [ -LRB- 63372 1061 4 For for IN 63372 1061 5 most most JJS 63372 1061 6 of of IN 63372 1061 7 the the DT 63372 1061 8 velocities velocity NNS 63372 1061 9 with with IN 63372 1061 10 which which WDT 63372 1061 11 we -PRON- PRP 63372 1061 12 are be VBP 63372 1061 13 familiar familiar JJ 63372 1061 14 $ $ $ 63372 1061 15 E e NN 63372 1061 16 / / SYM 63372 1061 17 C^2 C^2 NNP 63372 1061 18 $ $ $ 63372 1061 19 is be VBZ 63372 1061 20 , , , 63372 1061 21 like like IN 63372 1061 22 the the DT 63372 1061 23 difference difference NN 63372 1061 24 between between IN 63372 1061 25 $ $ $ 63372 1061 26 K$ k$ NN 63372 1061 27 and and CC 63372 1061 28 unity unity NN 63372 1061 29 , , , 63372 1061 30 such such PDT 63372 1061 31 an an DT 63372 1061 32 extremely extremely RB 63372 1061 33 small small JJ 63372 1061 34 quantity quantity NN 63372 1061 35 that that WDT 63372 1061 36 the the DT 63372 1061 37 most most RBS 63372 1061 38 delicate delicate JJ 63372 1061 39 measurements measurement NNS 63372 1061 40 fail fail VBP 63372 1061 41 to to TO 63372 1061 42 detect detect VB 63372 1061 43 it -PRON- PRP 63372 1061 44 . . . 63372 1062 1 But but CC 63372 1062 2 the the DT 63372 1062 3 electrons electron NNS 63372 1062 4 in in IN 63372 1062 5 a a DT 63372 1062 6 highly highly RB 63372 1062 7 evacuated evacuate VBN 63372 1062 8 tube tube NN 63372 1062 9 and and CC 63372 1062 10 the the DT 63372 1062 11 particles particle NNS 63372 1062 12 shot shoot VBD 63372 1062 13 out out RP 63372 1062 14 from from IN 63372 1062 15 radioactive radioactive JJ 63372 1062 16 materials material NNS 63372 1062 17 attain attain VBP 63372 1062 18 in in IN 63372 1062 19 some some DT 63372 1062 20 cases case NNS 63372 1062 21 velocities velocity NNS 63372 1062 22 as as RB 63372 1062 23 high high JJ 63372 1062 24 as as IN 63372 1062 25 eight eight CD 63372 1062 26 - - HYPH 63372 1062 27 tenths tenth NNS 63372 1062 28 that that WDT 63372 1062 29 of of IN 63372 1062 30 light light NN 63372 1062 31 . . . 63372 1063 1 When when WRB 63372 1063 2 we -PRON- PRP 63372 1063 3 measure measure VBP 63372 1063 4 the the DT 63372 1063 5 mass mass NN 63372 1063 6 of of IN 63372 1063 7 such such JJ 63372 1063 8 particles particle NNS 63372 1063 9 at at IN 63372 1063 10 different different JJ 63372 1063 11 velocities velocity NNS 63372 1063 12 we -PRON- PRP 63372 1063 13 find find VBP 63372 1063 14 that that IN 63372 1063 15 it -PRON- PRP 63372 1063 16 actually actually RB 63372 1063 17 increases increase VBZ 63372 1063 18 with with IN 63372 1063 19 the the DT 63372 1063 20 velocity velocity NN 63372 1063 21 , , , 63372 1063 22 and and CC 63372 1063 23 in in IN 63372 1063 24 accordance accordance NN 63372 1063 25 with with IN 63372 1063 26 the the DT 63372 1063 27 foregoing foregoing JJ 63372 1063 28 law law NN 63372 1063 29 . . . 63372 1064 1 ] ] -RRB- 63372 1064 2 194 194 CD 63372 1064 3 [ [ -LRB- 63372 1064 4 This this DT 63372 1064 5 observation observation NN 63372 1064 6 , , , 63372 1064 7 in in IN 63372 1064 8 fact fact NN 63372 1064 9 , , , 63372 1064 10 antedates antedate VBZ 63372 1064 11 Einstein Einstein NNP 63372 1064 12 's 's POS 63372 1064 13 explanation explanation NN 63372 1064 14 , , , 63372 1064 15 which which WDT 63372 1064 16 is be VBZ 63372 1064 17 far far RB 63372 1064 18 more more RBR 63372 1064 19 satisfactory satisfactory JJ 63372 1064 20 than than IN 63372 1064 21 the the DT 63372 1064 22 earlier early JJR 63372 1064 23 differentiation differentiation NN 63372 1064 24 between between IN 63372 1064 25 " " `` 63372 1064 26 normal normal JJ 63372 1064 27 mass mass NN 63372 1064 28 " " '' 63372 1064 29 and and CC 63372 1064 30 " " `` 63372 1064 31 electrical electrical JJ 63372 1064 32 mass mass NN 63372 1064 33 " " '' 63372 1064 34 which which WDT 63372 1064 35 was be VBD 63372 1064 36 called call VBN 63372 1064 37 upon upon IN 63372 1064 38 to to TO 63372 1064 39 account account VB 63372 1064 40 for for IN 63372 1064 41 the the DT 63372 1064 42 increase increase NN 63372 1064 43 . . . 63372 1065 1 ] ] -RRB- 63372 1065 2 * * NFP 63372 1065 3 [ [ -LRB- 63372 1065 4 But but CC 63372 1065 5 if if IN 63372 1065 6 the the DT 63372 1065 7 quantity quantity NN 63372 1065 8 $ $ $ 63372 1065 9 E e NN 63372 1065 10 / / SYM 63372 1065 11 C^2 C^2 NNP 63372 1065 12 $ $ $ 63372 1065 13 is be VBZ 63372 1065 14 to to TO 63372 1065 15 be be VB 63372 1065 16 considered consider VBN 63372 1065 17 as as IN 63372 1065 18 an an DT 63372 1065 19 actual actual JJ 63372 1065 20 increase increase NN 63372 1065 21 in in IN 63372 1065 22 mass mass NN 63372 1065 23 , , , 63372 1065 24 may may MD 63372 1065 25 it -PRON- PRP 63372 1065 26 not not RB 63372 1065 27 be be VB 63372 1065 28 possible possible JJ 63372 1065 29 that that IN 63372 1065 30 all all DT 63372 1065 31 mass mass NN 63372 1065 32 is be VBZ 63372 1065 33 energy energy NN 63372 1065 34 ? ? . 63372 1066 1 This this DT 63372 1066 2 would would MD 63372 1066 3 lead lead VB 63372 1066 4 to to IN 63372 1066 5 the the DT 63372 1066 6 conclusion conclusion NN 63372 1066 7 that that IN 63372 1066 8 the the DT 63372 1066 9 energy energy NN 63372 1066 10 stored store VBD 63372 1066 11 up up RP 63372 1066 12 in in IN 63372 1066 13 any any DT 63372 1066 14 mass mass NN 63372 1066 15 is be VBZ 63372 1066 16 $ $ $ 63372 1066 17 mC^2$. mc^2$. NN 63372 1067 1 The the DT 63372 1067 2 value value NN 63372 1067 3 is be VBZ 63372 1067 4 very very RB 63372 1067 5 great great JJ 63372 1067 6 , , , 63372 1067 7 since since IN 63372 1067 8 $ $ $ 63372 1067 9 C$ c$ $ 63372 1067 10 is be VBZ 63372 1067 11 so so RB 63372 1067 12 large large JJ 63372 1067 13 ; ; : 63372 1067 14 but but CC 63372 1067 15 it -PRON- PRP 63372 1067 16 is be VBZ 63372 1067 17 in in IN 63372 1067 18 good good JJ 63372 1067 19 agreement agreement NN 63372 1067 20 with with IN 63372 1067 21 the the DT 63372 1067 22 internal internal JJ 63372 1067 23 energy energy NN 63372 1067 24 of of IN 63372 1067 25 the the DT 63372 1067 26 atom atom NN 63372 1067 27 as as IN 63372 1067 28 calculated calculate VBN 63372 1067 29 from from IN 63372 1067 30 other other JJ 63372 1067 31 considerations consideration NNS 63372 1067 32 . . . 63372 1068 1 It -PRON- PRP 63372 1068 2 is be VBZ 63372 1068 3 obvious obvious JJ 63372 1068 4 that that DT 63372 1068 5 conservation conservation NN 63372 1068 6 of of IN 63372 1068 7 mass mass NN 63372 1068 8 and and CC 63372 1068 9 of of IN 63372 1068 10 momentum momentum NN 63372 1068 11 can can MD 63372 1068 12 not not RB 63372 1068 13 both both DT 63372 1068 14 hold hold VB 63372 1068 15 good good JJ 63372 1068 16 under under IN 63372 1068 17 a a DT 63372 1068 18 theory theory NN 63372 1068 19 that that WDT 63372 1068 20 translates translate VBZ 63372 1068 21 the the DT 63372 1068 22 one one NN 63372 1068 23 into into IN 63372 1068 24 the the DT 63372 1068 25 other other JJ 63372 1068 26 . . . 63372 1069 1 Mass Mass NNP 63372 1069 2 is be VBZ 63372 1069 3 then then RB 63372 1069 4 not not RB 63372 1069 5 considered consider VBN 63372 1069 6 by by IN 63372 1069 7 Einstein Einstein NNP 63372 1069 8 as as IN 63372 1069 9 conservative conservative JJ 63372 1069 10 in in IN 63372 1069 11 the the DT 63372 1069 12 ordinary ordinary JJ 63372 1069 13 sense sense NN 63372 1069 14 , , , 63372 1069 15 but but CC 63372 1069 16 it -PRON- PRP 63372 1069 17 is be VBZ 63372 1069 18 the the DT 63372 1069 19 total total JJ 63372 1069 20 quantity quantity NN 63372 1069 21 of of IN 63372 1069 22 mass mass NN 63372 1069 23 plus plus CC 63372 1069 24 energy energy NN 63372 1069 25 in in IN 63372 1069 26 any any DT 63372 1069 27 closed closed JJ 63372 1069 28 system system NN 63372 1069 29 that that WDT 63372 1069 30 remains remain VBZ 63372 1069 31 constant constant JJ 63372 1069 32 . . . 63372 1070 1 Small small JJ 63372 1070 2 amounts amount NNS 63372 1070 3 of of IN 63372 1070 4 energy energy NN 63372 1070 5 may may MD 63372 1070 6 be be VB 63372 1070 7 transformed transform VBN 63372 1070 8 into into IN 63372 1070 9 mass mass NN 63372 1070 10 , , , 63372 1070 11 and and CC 63372 1070 12 vice vice NN 63372 1070 13 versa versa RB 63372 1070 14 . . . 63372 1071 1 ] ] -RRB- 63372 1071 2 194 194 CD 63372 1071 3 [ [ -LRB- 63372 1071 4 Other other JJ 63372 1071 5 features feature NNS 63372 1071 6 of of IN 63372 1071 7 the the DT 63372 1071 8 theory theory NN 63372 1071 9 which which WDT 63372 1071 10 are be VBP 63372 1071 11 often often RB 63372 1071 12 displayed display VBN 63372 1071 13 as as IN 63372 1071 14 consequences consequence NNS 63372 1071 15 are be VBP 63372 1071 16 really really RB 63372 1071 17 more more JJR 63372 1071 18 in in IN 63372 1071 19 the the DT 63372 1071 20 nature nature NN 63372 1071 21 of of IN 63372 1071 22 assumptions assumption NNS 63372 1071 23 . . . 63372 1072 1 It -PRON- PRP 63372 1072 2 will will MD 63372 1072 3 be be VB 63372 1072 4 recalled recall VBN 63372 1072 5 that that IN 63372 1072 6 when when WRB 63372 1072 7 we -PRON- PRP 63372 1072 8 had have VBD 63372 1072 9 agreed agree VBN 63372 1072 10 upon upon IN 63372 1072 11 the the DT 63372 1072 12 necessity necessity NN 63372 1072 13 of of IN 63372 1072 14 employing employ VBG 63372 1072 15 signals signal NNS 63372 1072 16 of of IN 63372 1072 17 some some DT 63372 1072 18 sort sort NN 63372 1072 19 , , , 63372 1072 20 we -PRON- PRP 63372 1072 21 selected select VBD 63372 1072 22 as as IN 63372 1072 23 the the DT 63372 1072 24 means mean NNS 63372 1072 25 of of IN 63372 1072 26 signalling signal VBG 63372 1072 27 the the DT 63372 1072 28 speediest speedy JJS 63372 1072 29 messenger messenger NN 63372 1072 30 with with IN 63372 1072 31 which which WDT 63372 1072 32 we -PRON- PRP 63372 1072 33 happened happen VBD 63372 1072 34 to to TO 63372 1072 35 be be VB 63372 1072 36 acquainted acquaint VBN 63372 1072 37 . . . 63372 1073 1 Our -PRON- PRP$ 63372 1073 2 subsequent subsequent JJ 63372 1073 3 difficulties difficulty NNS 63372 1073 4 were be VBD 63372 1073 5 largely largely RB 63372 1073 6 due due JJ 63372 1073 7 to to IN 63372 1073 8 the the DT 63372 1073 9 impossibility impossibility NN 63372 1073 10 of of IN 63372 1073 11 making make VBG 63372 1073 12 a a DT 63372 1073 13 proper proper JJ 63372 1073 14 allowance allowance NN 63372 1073 15 for for IN 63372 1073 16 this this DT 63372 1073 17 messenger messenger NN 63372 1073 18 's 's POS 63372 1073 19 speed speed NN 63372 1073 20 , , , 63372 1073 21 even even RB 63372 1073 22 though though IN 63372 1073 23 we -PRON- PRP 63372 1073 24 knew know VBD 63372 1073 25 its -PRON- PRP$ 63372 1073 26 numerical numerical JJ 63372 1073 27 value value NN 63372 1073 28 ; ; : 63372 1073 29 and and CC 63372 1073 30 as as IN 63372 1073 31 a a DT 63372 1073 32 consequence consequence NN 63372 1073 33 , , , 63372 1073 34 this this DT 63372 1073 35 speed speed NN 63372 1073 36 enters enter VBZ 63372 1073 37 into into IN 63372 1073 38 our -PRON- PRP$ 63372 1073 39 formulae formula NNS 63372 1073 40 . . . 63372 1074 1 Now now RB 63372 1074 2 we -PRON- PRP 63372 1074 3 have have VBP 63372 1074 4 not not RB 63372 1074 5 said say VBN 63372 1074 6 in in IN 63372 1074 7 so so RB 63372 1074 8 many many JJ 63372 1074 9 words word NNS 63372 1074 10 that that WDT 63372 1074 11 $ $ $ 63372 1074 12 C$ c$ $ 63372 1074 13 is be VBZ 63372 1074 14 the the DT 63372 1074 15 greatest great JJS 63372 1074 16 speed speed NN 63372 1074 17 attainable attainable JJ 63372 1074 18 , , , 63372 1074 19 but but CC 63372 1074 20 we -PRON- PRP 63372 1074 21 have have VBP 63372 1074 22 tacitly tacitly RB 63372 1074 23 assumed assume VBN 63372 1074 24 that that IN 63372 1074 25 it -PRON- PRP 63372 1074 26 is be VBZ 63372 1074 27 . . . 63372 1075 1 We -PRON- PRP 63372 1075 2 need need VBP 63372 1075 3 not not RB 63372 1075 4 , , , 63372 1075 5 therefore therefore RB 63372 1075 6 , , , 63372 1075 7 be be VB 63372 1075 8 surprised surprised JJ 63372 1075 9 if if IN 63372 1075 10 our -PRON- PRP$ 63372 1075 11 formulae formula NNS 63372 1075 12 give give VBP 63372 1075 13 us -PRON- PRP 63372 1075 14 absurd absurd JJ 63372 1075 15 results result NNS 63372 1075 16 for for IN 63372 1075 17 speeds speed NNS 63372 1075 18 higher high JJR 63372 1075 19 than than IN 63372 1075 20 $ $ $ 63372 1075 21 C$ c$ $ 63372 1075 22 , , , 63372 1075 23 and and CC 63372 1075 24 indicate indicate VBP 63372 1075 25 the the DT 63372 1075 26 impossibility impossibility NN 63372 1075 27 of of IN 63372 1075 28 ever ever RB 63372 1075 29 attaining attain VBG 63372 1075 30 these these DT 63372 1075 31 . . . 63372 1076 1 Whatever whatever WDT 63372 1076 2 we -PRON- PRP 63372 1076 3 put put VBP 63372 1076 4 into into IN 63372 1076 5 a a DT 63372 1076 6 problem problem NN 63372 1076 7 the the DT 63372 1076 8 algebra algebra NN 63372 1076 9 is be VBZ 63372 1076 10 bound bind VBN 63372 1076 11 to to TO 63372 1076 12 give give VB 63372 1076 13 us -PRON- PRP 63372 1076 14 back back RB 63372 1076 15 . . . 63372 1077 1 If if IN 63372 1077 2 we -PRON- PRP 63372 1077 3 look look VBP 63372 1077 4 at at IN 63372 1077 5 our -PRON- PRP$ 63372 1077 6 formula formula NN 63372 1077 7 for for IN 63372 1077 8 $ $ $ 63372 1077 9 K$ K$ NNP 63372 1077 10 , , , 63372 1077 11 we -PRON- PRP 63372 1077 12 see see VBP 63372 1077 13 that that IN 63372 1077 14 in in IN 63372 1077 15 the the DT 63372 1077 16 event event NN 63372 1077 17 of of IN 63372 1077 18 $ $ $ 63372 1077 19 v$ v$ NNP 63372 1077 20 equalling equal VBG 63372 1077 21 $ $ $ 63372 1077 22 C$ c$ $ 63372 1077 23 , , , 63372 1077 24 lengths length NNS 63372 1077 25 become become VBP 63372 1077 26 zero zero CD 63372 1077 27 and and CC 63372 1077 28 times time NNS 63372 1077 29 infinite infinite JJ 63372 1077 30 . . . 63372 1078 1 The the DT 63372 1078 2 light light JJ 63372 1078 3 messenger messenger NN 63372 1078 4 itself -PRON- PRP 63372 1078 5 , , , 63372 1078 6 then then RB 63372 1078 7 , , , 63372 1078 8 has have VBZ 63372 1078 9 no no DT 63372 1078 10 dimension dimension NN 63372 1078 11 ; ; : 63372 1078 12 and and CC 63372 1078 13 for for IN 63372 1078 14 it -PRON- PRP 63372 1078 15 time time NN 63372 1078 16 stands stand VBZ 63372 1078 17 still still RB 63372 1078 18 . . . 63372 1079 1 If if IN 63372 1079 2 we -PRON- PRP 63372 1079 3 suppose suppose VBP 63372 1079 4 $ $ $ 63372 1079 5 v$ v$ NNP 63372 1079 6 to to TO 63372 1079 7 be be VB 63372 1079 8 greater great JJR 63372 1079 9 than than IN 63372 1079 10 $ $ $ 63372 1079 11 C$ c$ $ 63372 1079 12 , , , 63372 1079 13 we -PRON- PRP 63372 1079 14 get get VBP 63372 1079 15 even even RB 63372 1079 16 more more RBR 63372 1079 17 bizarre bizarre JJ 63372 1079 18 results result NNS 63372 1079 19 , , , 63372 1079 20 for for IN 63372 1079 21 then then RB 63372 1079 22 the the DT 63372 1079 23 factor factor NN 63372 1079 24 $ $ $ 63372 1079 25 K$ K$ NNP 63372 1079 26 is be VBZ 63372 1079 27 the the DT 63372 1079 28 square square JJ 63372 1079 29 root root NN 63372 1079 30 of of IN 63372 1079 31 a a DT 63372 1079 32 negative negative JJ 63372 1079 33 number number NN 63372 1079 34 , , , 63372 1079 35 or or CC 63372 1079 36 as as IN 63372 1079 37 the the DT 63372 1079 38 mathematician mathematician NN 63372 1079 39 calls call VBZ 63372 1079 40 it -PRON- PRP 63372 1079 41 an an DT 63372 1079 42 " " `` 63372 1079 43 imaginary imaginary JJ 63372 1079 44 " " '' 63372 1079 45 quantity quantity NN 63372 1079 46 ; ; : 63372 1079 47 and and CC 63372 1079 48 with with IN 63372 1079 49 it -PRON- PRP 63372 1079 50 , , , 63372 1079 51 lengths length NNS 63372 1079 52 and and CC 63372 1079 53 times time NNS 63372 1079 54 become become VBP 63372 1079 55 imaginary imaginary JJ 63372 1079 56 too too RB 63372 1079 57 . . . 63372 1080 1 The the DT 63372 1080 2 fact fact NN 63372 1080 3 that that IN 63372 1080 4 time time NN 63372 1080 5 stops stop VBZ 63372 1080 6 for for IN 63372 1080 7 it -PRON- PRP 63372 1080 8 , , , 63372 1080 9 and and CC 63372 1080 10 the the DT 63372 1080 11 fact fact NN 63372 1080 12 that that IN 63372 1080 13 it -PRON- PRP 63372 1080 14 is be VBZ 63372 1080 15 the the DT 63372 1080 16 limiting limit VBG 63372 1080 17 velocity velocity NN 63372 1080 18 , , , 63372 1080 19 give give VB 63372 1080 20 to to IN 63372 1080 21 $ $ $ 63372 1080 22 C$ c$ NN 63372 1080 23 certain certain JJ 63372 1080 24 of of IN 63372 1080 25 the the DT 63372 1080 26 attributes attribute NNS 63372 1080 27 of of IN 63372 1080 28 the the DT 63372 1080 29 mathematician mathematician NN 63372 1080 30 's 's POS 63372 1080 31 infinity infinity NN 63372 1080 32 . . . 63372 1081 1 Certainly certainly RB 63372 1081 2 if if IN 63372 1081 3 it -PRON- PRP 63372 1081 4 can can MD 63372 1081 5 never never RB 63372 1081 6 be be VB 63372 1081 7 exceeded exceed VBN 63372 1081 8 , , , 63372 1081 9 we -PRON- PRP 63372 1081 10 must must MD 63372 1081 11 have have VB 63372 1081 12 a a DT 63372 1081 13 new new JJ 63372 1081 14 formula formula NN 63372 1081 15 for for IN 63372 1081 16 the the DT 63372 1081 17 composition composition NN 63372 1081 18 of of IN 63372 1081 19 velocities velocity NNS 63372 1081 20 . . . 63372 1082 1 Otherwise otherwise RB 63372 1082 2 when when WRB 63372 1082 3 my -PRON- PRP$ 63372 1082 4 system system NN 63372 1082 5 passes pass VBZ 63372 1082 6 yours -PRON- PRP 63372 1082 7 at at IN 63372 1082 8 a a DT 63372 1082 9 speed speed NN 63372 1082 10 of of IN 63372 1082 11 100,000 100,000 CD 63372 1082 12 miles mile NNS 63372 1082 13 per per IN 63372 1082 14 second second NN 63372 1082 15 , , , 63372 1082 16 while while IN 63372 1082 17 yours -PRON- PRP 63372 1082 18 passes pass VBZ 63372 1082 19 a a DT 63372 1082 20 third third NN 63372 1082 21 in in IN 63372 1082 22 the the DT 63372 1082 23 same same JJ 63372 1082 24 direction direction NN 63372 1082 25 at at IN 63372 1082 26 the the DT 63372 1082 27 same same JJ 63372 1082 28 velocity velocity NN 63372 1082 29 , , , 63372 1082 30 I -PRON- PRP 63372 1082 31 shall shall MD 63372 1082 32 be be VB 63372 1082 33 passing pass VBG 63372 1082 34 this this DT 63372 1082 35 third third JJ 63372 1082 36 framework framework NN 63372 1082 37 at at IN 63372 1082 38 the the DT 63372 1082 39 forbidden forbidden JJ 63372 1082 40 velocity velocity NN 63372 1082 41 of of IN 63372 1082 42 200,000 200,000 CD 63372 1082 43 miles mile NNS 63372 1082 44 per per IN 63372 1082 45 second second JJ 63372 1082 46 -- -- : 63372 1082 47 greater great JJR 63372 1082 48 than than IN 63372 1082 49 $ $ $ 63372 1082 50 C$ c$ $ 63372 1082 51 . . . 63372 1083 1 In in IN 63372 1083 2 fact fact NN 63372 1083 3 Einstein Einstein NNP 63372 1083 4 is be VBZ 63372 1083 5 able able JJ 63372 1083 6 to to TO 63372 1083 7 show show VB 63372 1083 8 that that IN 63372 1083 9 an an DT 63372 1083 10 old old JJ 63372 1083 11 formula formula NN 63372 1083 12 , , , 63372 1083 13 which which WDT 63372 1083 14 had have VBD 63372 1083 15 already already RB 63372 1083 16 been be VBN 63372 1083 17 found find VBN 63372 1083 18 to to TO 63372 1083 19 connect connect VB 63372 1083 20 the the DT 63372 1083 21 speed speed NN 63372 1083 22 of of IN 63372 1083 23 light light NN 63372 1083 24 in in IN 63372 1083 25 a a DT 63372 1083 26 material material JJ 63372 1083 27 medium medium NN 63372 1083 28 with with IN 63372 1083 29 the the DT 63372 1083 30 speed speed NN 63372 1083 31 of of IN 63372 1083 32 that that DT 63372 1083 33 medium medium NN 63372 1083 34 , , , 63372 1083 35 will will MD 63372 1083 36 now now RB 63372 1083 37 serve serve VB 63372 1083 38 universally universally RB 63372 1083 39 for for IN 63372 1083 40 the the DT 63372 1083 41 composition composition NN 63372 1083 42 of of IN 63372 1083 43 velocities velocity NNS 63372 1083 44 . . . 63372 1084 1 When when WRB 63372 1084 2 we -PRON- PRP 63372 1084 3 combine combine VBP 63372 1084 4 the the DT 63372 1084 5 velocities velocity NNS 63372 1084 6 $ $ $ 63372 1084 7 v$ v$ NNP 63372 1084 8 and and CC 63372 1084 9 $ $ $ 63372 1084 10 u$ u$ NNP 63372 1084 11 , , , 63372 1084 12 instead instead RB 63372 1084 13 of of IN 63372 1084 14 getting get VBG 63372 1084 15 the the DT 63372 1084 16 resultant resultant JJ 63372 1084 17 $ $ $ 63372 1084 18 v+u$ v+u$ NN 63372 1084 19 as as IN 63372 1084 20 we -PRON- PRP 63372 1084 21 would would MD 63372 1084 22 have have VB 63372 1084 23 supposed suppose VBN 63372 1084 24 , , , 63372 1084 25 we -PRON- PRP 63372 1084 26 get get VBP 63372 1084 27 the the DT 63372 1084 28 resultant resultant JJ 63372 1084 29 $ $ $ 63372 1084 30 $ $ $ 63372 1084 31 ( ( -LRB- 63372 1084 32 v v NN 63372 1084 33 + + CC 63372 1084 34 u u NNP 63372 1084 35 ) ) -RRB- 63372 1084 36 / / SYM 63372 1084 37 ( ( -LRB- 63372 1084 38 1 1 CD 63372 1084 39 + + SYM 63372 1084 40 ( ( -LRB- 63372 1084 41 uv uv RB 63372 1084 42 / / SYM 63372 1084 43 C^2))\,,$$ c^2))\,,$$ CD 63372 1084 44 or or CC 63372 1084 45 $ $ $ 63372 1084 46 $ $ $ 63372 1084 47 C^2(v c^2(v NN 63372 1084 48 + + SYM 63372 1084 49 u u NN 63372 1084 50 ) ) -RRB- 63372 1084 51 / / NFP 63372 1084 52 ( ( -LRB- 63372 1084 53 C^2 C^2 NNP 63372 1084 54 + + SYM 63372 1084 55 uv)$$ uv)$$ NNS 63372 1084 56 This this DT 63372 1084 57 need nee MD 63372 1084 58 not not RB 63372 1084 59 surprise surprise VB 63372 1084 60 us -PRON- PRP 63372 1084 61 either either RB 63372 1084 62 , , , 63372 1084 63 if if IN 63372 1084 64 we -PRON- PRP 63372 1084 65 will will MD 63372 1084 66 but but CC 63372 1084 67 reflect reflect VB 63372 1084 68 that that IN 63372 1084 69 the the DT 63372 1084 70 second second JJ 63372 1084 71 velocity velocity NN 63372 1084 72 effects effect VBZ 63372 1084 73 a a DT 63372 1084 74 second second JJ 63372 1084 75 revision revision NN 63372 1084 76 of of IN 63372 1084 77 length length NN 63372 1084 78 and and CC 63372 1084 79 time time NN 63372 1084 80 measurements measurement NNS 63372 1084 81 between between IN 63372 1084 82 the the DT 63372 1084 83 systems system NNS 63372 1084 84 involved involve VBN 63372 1084 85 . . . 63372 1085 1 And and CC 63372 1085 2 now now RB 63372 1085 3 , , , 63372 1085 4 if if IN 63372 1085 5 we -PRON- PRP 63372 1085 6 let let VBP 63372 1085 7 either either CC 63372 1085 8 $ $ $ 63372 1085 9 v$ v$ NNP 63372 1085 10 , , , 63372 1085 11 or or CC 63372 1085 12 $ $ $ 63372 1085 13 u$ u$ NNP 63372 1085 14 , , , 63372 1085 15 or or CC 63372 1085 16 even even RB 63372 1085 17 both both DT 63372 1085 18 of of IN 63372 1085 19 them -PRON- PRP 63372 1085 20 , , , 63372 1085 21 take take VB 63372 1085 22 the the DT 63372 1085 23 value value NN 63372 1085 24 $ $ $ 63372 1085 25 C$ c$ $ 63372 1085 26 , , , 63372 1085 27 the the DT 63372 1085 28 resultant resultant NN 63372 1085 29 still still RB 63372 1085 30 is be VBZ 63372 1085 31 $ $ $ 63372 1085 32 C$ c$ $ 63372 1085 33 . . . 63372 1086 1 In in IN 63372 1086 2 another another DT 63372 1086 3 way way NN 63372 1086 4 we -PRON- PRP 63372 1086 5 have have VBP 63372 1086 6 found find VBN 63372 1086 7 $ $ $ 63372 1086 8 C$ c$ $ 63372 1086 9 to to TO 63372 1086 10 behave behave VB 63372 1086 11 like like IN 63372 1086 12 the the DT 63372 1086 13 mathematician mathematician NN 63372 1086 14 's 's POS 63372 1086 15 infinity infinity NN 63372 1086 16 , , , 63372 1086 17 to to TO 63372 1086 18 which which WDT 63372 1086 19 , , , 63372 1086 20 in in IN 63372 1086 21 the the DT 63372 1086 22 words word NNS 63372 1086 23 of of IN 63372 1086 24 the the DT 63372 1086 25 blind blind JJ 63372 1086 26 poet poet NN 63372 1086 27 , , , 63372 1086 28 if if IN 63372 1086 29 we -PRON- PRP 63372 1086 30 add add VBP 63372 1086 31 untold untold JJ 63372 1086 32 thousands thousand NNS 63372 1086 33 , , , 63372 1086 34 we -PRON- PRP 63372 1086 35 effect effect VBP 63372 1086 36 no no DT 63372 1086 37 real real JJ 63372 1086 38 increment increment NN 63372 1086 39 . . . 63372 1087 1 ASSUMPTION ASSUMPTION NNP 63372 1087 2 AND and CC 63372 1087 3 CONSEQUENCE CONSEQUENCE NNP 63372 1087 4 A a DT 63372 1087 5 good good JJ 63372 1087 6 many many JJ 63372 1087 7 correspondents correspondent NNS 63372 1087 8 who who WP 63372 1087 9 have have VBP 63372 1087 10 given give VBN 63372 1087 11 the the DT 63372 1087 12 subject subject JJ 63372 1087 13 sufficient sufficient JJ 63372 1087 14 thought thought NN 63372 1087 15 to to TO 63372 1087 16 realize realize VB 63372 1087 17 that that IN 63372 1087 18 the the DT 63372 1087 19 limiting limit VBG 63372 1087 20 character character NN 63372 1087 21 of of IN 63372 1087 22 the the DT 63372 1087 23 velocity velocity NN 63372 1087 24 $ $ $ 63372 1087 25 C$ c$ $ 63372 1087 26 is be VBZ 63372 1087 27 really really RB 63372 1087 28 read read VBN 63372 1087 29 into into IN 63372 1087 30 Einstein Einstein NNP 63372 1087 31 's 's POS 63372 1087 32 system system NN 63372 1087 33 by by IN 63372 1087 34 assumption assumption NN 63372 1087 35 have have VBP 63372 1087 36 written write VBN 63372 1087 37 , , , 63372 1087 38 in in IN 63372 1087 39 more more RBR 63372 1087 40 or or CC 63372 1087 41 less less RBR 63372 1087 42 perturbed perturbed JJ 63372 1087 43 inquiry inquiry NN 63372 1087 44 , , , 63372 1087 45 to to TO 63372 1087 46 know know VB 63372 1087 47 whether whether IN 63372 1087 48 this this DT 63372 1087 49 does do VBZ 63372 1087 50 not not RB 63372 1087 51 invalidate invalidate VB 63372 1087 52 the the DT 63372 1087 53 whole whole JJ 63372 1087 54 structure structure NN 63372 1087 55 . . . 63372 1088 1 The the DT 63372 1088 2 answer answer NN 63372 1088 3 , , , 63372 1088 4 of of IN 63372 1088 5 course course NN 63372 1088 6 , , , 63372 1088 7 is be VBZ 63372 1088 8 yes yes UH 63372 1088 9 -- -- : 63372 1088 10 provided provide VBN 63372 1088 11 you -PRON- PRP 63372 1088 12 can can MD 63372 1088 13 show show VB 63372 1088 14 this this DT 63372 1088 15 assumption assumption NN 63372 1088 16 to to TO 63372 1088 17 be be VB 63372 1088 18 invalid invalid JJ 63372 1088 19 . . . 63372 1089 1 The the DT 63372 1089 2 same same JJ 63372 1089 3 answer answer NN 63372 1089 4 may may MD 63372 1089 5 be be VB 63372 1089 6 made make VBN 63372 1089 7 of of IN 63372 1089 8 any any DT 63372 1089 9 scientific scientific JJ 63372 1089 10 doctrine doctrine NN 63372 1089 11 whatever whatever WDT 63372 1089 12 , , , 63372 1089 13 and and CC 63372 1089 14 in in IN 63372 1089 15 reference reference NN 63372 1089 16 to to IN 63372 1089 17 any any DT 63372 1089 18 one one CD 63372 1089 19 of of IN 63372 1089 20 the the DT 63372 1089 21 multitudinous multitudinous JJ 63372 1089 22 assumptions assumption NNS 63372 1089 23 underlying underlie VBG 63372 1089 24 it -PRON- PRP 63372 1089 25 . . . 63372 1090 1 If if IN 63372 1090 2 we -PRON- PRP 63372 1090 3 were be VBD 63372 1090 4 to to TO 63372 1090 5 discover discover VB 63372 1090 6 , , , 63372 1090 7 tomorrow tomorrow NN 63372 1090 8 , , , 63372 1090 9 a a DT 63372 1090 10 way way NN 63372 1090 11 of of IN 63372 1090 12 sending send VBG 63372 1090 13 signals signal NNS 63372 1090 14 absolutely absolutely RB 63372 1090 15 instantaneously instantaneously RB 63372 1090 16 , , , 63372 1090 17 Einstein Einstein NNP 63372 1090 18 's 's POS 63372 1090 19 whole whole JJ 63372 1090 20 structure structure NN 63372 1090 21 would would MD 63372 1090 22 collapse collapse VB 63372 1090 23 as as RB 63372 1090 24 soon soon RB 63372 1090 25 as as IN 63372 1090 26 we -PRON- PRP 63372 1090 27 had have VBD 63372 1090 28 agreed agree VBN 63372 1090 29 to to TO 63372 1090 30 use use VB 63372 1090 31 this this DT 63372 1090 32 new new JJ 63372 1090 33 method method NN 63372 1090 34 . . . 63372 1091 1 If if IN 63372 1091 2 we -PRON- PRP 63372 1091 3 were be VBD 63372 1091 4 to to TO 63372 1091 5 discover discover VB 63372 1091 6 a a DT 63372 1091 7 signalling signal VBG 63372 1091 8 agent agent NN 63372 1091 9 with with IN 63372 1091 10 finite finite JJ 63372 1091 11 velocity velocity NN 63372 1091 12 greater great JJR 63372 1091 13 than than IN 63372 1091 14 that that DT 63372 1091 15 of of IN 63372 1091 16 light light NN 63372 1091 17 , , , 63372 1091 18 relativity relativity NN 63372 1091 19 would would MD 63372 1091 20 persist persist VB 63372 1091 21 with with IN 63372 1091 22 this this DT 63372 1091 23 velocity velocity NN 63372 1091 24 written write VBN 63372 1091 25 in in IN 63372 1091 26 its -PRON- PRP$ 63372 1091 27 formulae formula NNS 63372 1091 28 in in IN 63372 1091 29 the the DT 63372 1091 30 place place NN 63372 1091 31 of of IN 63372 1091 32 $ $ $ 63372 1091 33 C$ c$ $ 63372 1091 34 . . . 63372 1092 1 It -PRON- PRP 63372 1092 2 is be VBZ 63372 1092 3 a a DT 63372 1092 4 mistake mistake NN 63372 1092 5 to to TO 63372 1092 6 quote quote VB 63372 1092 7 Einstein Einstein NNP 63372 1092 8 's 's POS 63372 1092 9 theory theory NN 63372 1092 10 in in IN 63372 1092 11 support support NN 63372 1092 12 of of IN 63372 1092 13 the the DT 63372 1092 14 statement statement NN 63372 1092 15 that that IN 63372 1092 16 such such PDT 63372 1092 17 a a DT 63372 1092 18 velocity velocity NN 63372 1092 19 can can MD 63372 1092 20 never never RB 63372 1092 21 be be VB 63372 1092 22 . . . 63372 1093 1 An an DT 63372 1093 2 assumption assumption NN 63372 1093 3 proves prove VBZ 63372 1093 4 its -PRON- PRP$ 63372 1093 5 consequences consequence NNS 63372 1093 6 , , , 63372 1093 7 but but CC 63372 1093 8 never never RB 63372 1093 9 can can MD 63372 1093 10 prove prove VB 63372 1093 11 itself -PRON- PRP 63372 1093 12 ; ; : 63372 1093 13 it -PRON- PRP 63372 1093 14 must must MD 63372 1093 15 remain remain VB 63372 1093 16 always always RB 63372 1093 17 an an DT 63372 1093 18 assumption assumption NN 63372 1093 19 . . . 63372 1094 1 But but CC 63372 1094 2 in in IN 63372 1094 3 the the DT 63372 1094 4 presence presence NN 63372 1094 5 of of IN 63372 1094 6 long long JJ 63372 1094 7 human human JJ 63372 1094 8 experience experience NN 63372 1094 9 supporting support VBG 63372 1094 10 Einstein Einstein NNP 63372 1094 11 's 's POS 63372 1094 12 assumption assumption NN 63372 1094 13 that that IN 63372 1094 14 no no DT 63372 1094 15 velocity velocity NN 63372 1094 16 in in IN 63372 1094 17 excess excess NN 63372 1094 18 of of IN 63372 1094 19 $ $ $ 63372 1094 20 C$ c$ $ 63372 1094 21 can can MD 63372 1094 22 be be VB 63372 1094 23 found find VBN 63372 1094 24 , , , 63372 1094 25 it -PRON- PRP 63372 1094 26 is be VBZ 63372 1094 27 fair fair JJ 63372 1094 28 to to TO 63372 1094 29 demand demand VB 63372 1094 30 that that IN 63372 1094 31 it -PRON- PRP 63372 1094 32 be be VB 63372 1094 33 disputed dispute VBN 63372 1094 34 not not RB 63372 1094 35 with with IN 63372 1094 36 argument argument NN 63372 1094 37 but but CC 63372 1094 38 with with IN 63372 1094 39 demonstration demonstration NN 63372 1094 40 . . . 63372 1095 1 The the DT 63372 1095 2 one one CD 63372 1095 3 line line NN 63372 1095 4 of of IN 63372 1095 5 argument argument NN 63372 1095 6 that that WDT 63372 1095 7 would would MD 63372 1095 8 hold hold VB 63372 1095 9 out out RP 63372 1095 10 a a DT 63372 1095 11 priori priori FW 63372 1095 12 hope hope NN 63372 1095 13 of of IN 63372 1095 14 reducing reduce VBG 63372 1095 15 the the DT 63372 1095 16 assumption assumption NN 63372 1095 17 to to IN 63372 1095 18 an an DT 63372 1095 19 absurdity absurdity NN 63372 1095 20 would would MD 63372 1095 21 be be VB 63372 1095 22 one one CD 63372 1095 23 based base VBN 63372 1095 24 on on IN 63372 1095 25 the the DT 63372 1095 26 familiar familiar JJ 63372 1095 27 idea idea NN 63372 1095 28 of of IN 63372 1095 29 adding add VBG 63372 1095 30 velocities velocity NNS 63372 1095 31 ; ; : 63372 1095 32 but but CC 63372 1095 33 Einstein Einstein NNP 63372 1095 34 has have VBZ 63372 1095 35 spiked spike VBN 63372 1095 36 this this DT 63372 1095 37 argument argument NN 63372 1095 38 before before IN 63372 1095 39 it -PRON- PRP 63372 1095 40 is be VBZ 63372 1095 41 started start VBN 63372 1095 42 by by IN 63372 1095 43 replacing replace VBG 63372 1095 44 the the DT 63372 1095 45 direct direct JJ 63372 1095 46 addition addition NN 63372 1095 47 of of IN 63372 1095 48 velocities velocity NNS 63372 1095 49 with with IN 63372 1095 50 another another DT 63372 1095 51 method method NN 63372 1095 52 of of IN 63372 1095 53 combining combine VBG 63372 1095 54 them -PRON- PRP 63372 1095 55 that that WDT 63372 1095 56 fits fit VBZ 63372 1095 57 in in RP 63372 1095 58 with with IN 63372 1095 59 his -PRON- PRP$ 63372 1095 60 assumption assumption NN 63372 1095 61 and and CC 63372 1095 62 as as RB 63372 1095 63 well well RB 63372 1095 64 with with IN 63372 1095 65 the the DT 63372 1095 66 observed observed JJ 63372 1095 67 facts fact NNS 63372 1095 68 . . . 63372 1096 1 The the DT 63372 1096 2 burden burden NN 63372 1096 3 of of IN 63372 1096 4 proof proof NN 63372 1096 5 is be VBZ 63372 1096 6 then then RB 63372 1096 7 on on IN 63372 1096 8 the the DT 63372 1096 9 prosecution prosecution NN 63372 1096 10 ; ; : 63372 1096 11 anyone anyone NN 63372 1096 12 who who WP 63372 1096 13 would would MD 63372 1096 14 contradict contradict VB 63372 1096 15 our -PRON- PRP$ 63372 1096 16 assertion assertion NN 63372 1096 17 that that IN 63372 1096 18 $ $ $ 63372 1096 19 C$ c$ $ 63372 1096 20 is be VBZ 63372 1096 21 the the DT 63372 1096 22 greatest great JJS 63372 1096 23 velocity velocity NN 63372 1096 24 attainable attainable JJ 63372 1096 25 may may MD 63372 1096 26 do do VB 63372 1096 27 so so RB 63372 1096 28 only only RB 63372 1096 29 by by IN 63372 1096 30 showing show VBG 63372 1096 31 us -PRON- PRP 63372 1096 32 a a DT 63372 1096 33 greater great JJR 63372 1096 34 one one NN 63372 1096 35 . . . 63372 1097 1 Until until IN 63372 1097 2 this this DT 63372 1097 3 has have VBZ 63372 1097 4 been be VBN 63372 1097 5 done do VBN 63372 1097 6 , , , 63372 1097 7 the the DT 63372 1097 8 admission admission NN 63372 1097 9 that that IN 63372 1097 10 it -PRON- PRP 63372 1097 11 may may MD 63372 1097 12 properly properly RB 63372 1097 13 be be VB 63372 1097 14 attempted attempt VBN 63372 1097 15 can can MD 63372 1097 16 in in IN 63372 1097 17 no no DT 63372 1097 18 way way NN 63372 1097 19 be be VB 63372 1097 20 construed construe VBN 63372 1097 21 as as IN 63372 1097 22 a a DT 63372 1097 23 confession confession NN 63372 1097 24 of of IN 63372 1097 25 weakness weakness NN 63372 1097 26 on on IN 63372 1097 27 the the DT 63372 1097 28 part part NN 63372 1097 29 of of IN 63372 1097 30 Einstein Einstein NNP 63372 1097 31 . . . 63372 1098 1 It -PRON- PRP 63372 1098 2 may may MD 63372 1098 3 be be VB 63372 1098 4 well well JJ 63372 1098 5 to to TO 63372 1098 6 point point VB 63372 1098 7 out out RP 63372 1098 8 that that IN 63372 1098 9 in in IN 63372 1098 10 no no DT 63372 1098 11 event event NN 63372 1098 12 may may MD 63372 1098 13 analogy analogy NN 63372 1098 14 be be VB 63372 1098 15 drawn draw VBN 63372 1098 16 with with IN 63372 1098 17 sound sound NN 63372 1098 18 , , , 63372 1098 19 as as IN 63372 1098 20 many many JJ 63372 1098 21 have have VBP 63372 1098 22 tried try VBN 63372 1098 23 to to TO 63372 1098 24 do do VB 63372 1098 25 . . . 63372 1099 1 In in IN 63372 1099 2 the the DT 63372 1099 3 first first JJ 63372 1099 4 place place NN 63372 1099 5 sound sound NN 63372 1099 6 requires require VBZ 63372 1099 7 a a DT 63372 1099 8 material material JJ 63372 1099 9 medium medium NN 63372 1099 10 and and CC 63372 1099 11 its -PRON- PRP$ 63372 1099 12 velocity velocity NN 63372 1099 13 with with IN 63372 1099 14 regard regard NN 63372 1099 15 to to IN 63372 1099 16 this this DT 63372 1099 17 rather rather RB 63372 1099 18 than than IN 63372 1099 19 relative relative JJ 63372 1099 20 to to IN 63372 1099 21 the the DT 63372 1099 22 observer observer NN 63372 1099 23 we -PRON- PRP 63372 1099 24 know know VBP 63372 1099 25 to to TO 63372 1099 26 be be VB 63372 1099 27 fixed fix VBN 63372 1099 28 ; ; : 63372 1099 29 in in IN 63372 1099 30 the the DT 63372 1099 31 second second JJ 63372 1099 32 place place NN 63372 1099 33 , , , 63372 1099 34 requiring require VBG 63372 1099 35 a a DT 63372 1099 36 material material JJ 63372 1099 37 medium medium NN 63372 1099 38 , , , 63372 1099 39 sound sound NN 63372 1099 40 is be VBZ 63372 1099 41 not not RB 63372 1099 42 a a DT 63372 1099 43 universal universal JJ 63372 1099 44 signalling signal VBG 63372 1099 45 agent agent NN 63372 1099 46 ; ; : 63372 1099 47 in in IN 63372 1099 48 the the DT 63372 1099 49 third third JJ 63372 1099 50 place place NN 63372 1099 51 , , , 63372 1099 52 we -PRON- PRP 63372 1099 53 know know VBP 63372 1099 54 definitely definitely RB 63372 1099 55 that that IN 63372 1099 56 its -PRON- PRP$ 63372 1099 57 velocity velocity NN 63372 1099 58 can can MD 63372 1099 59 be be VB 63372 1099 60 exceeded exceed VBN 63372 1099 61 , , , 63372 1099 62 and and CC 63372 1099 63 are be VBP 63372 1099 64 therefore therefore RB 63372 1099 65 barred bar VBN 63372 1099 66 from from IN 63372 1099 67 making make VBG 63372 1099 68 the the DT 63372 1099 69 assumption assumption NN 63372 1099 70 necessary necessary JJ 63372 1099 71 to to TO 63372 1099 72 establish establish VB 63372 1099 73 the the DT 63372 1099 74 analogy analogy NN 63372 1099 75 . . . 63372 1100 1 The the DT 63372 1100 2 very very RB 63372 1100 3 extraordinary extraordinary JJ 63372 1100 4 behavior behavior NN 63372 1100 5 of of IN 63372 1100 6 light light NN 63372 1100 7 in in IN 63372 1100 8 presenting present VBG 63372 1100 9 a a DT 63372 1100 10 velocity velocity NN 63372 1100 11 that that WDT 63372 1100 12 is be VBZ 63372 1100 13 the the DT 63372 1100 14 same same JJ 63372 1100 15 for for IN 63372 1100 16 all all DT 63372 1100 17 observers observer NNS 63372 1100 18 , , , 63372 1100 19 and and CC 63372 1100 20 in in IN 63372 1100 21 refusing refuse VBG 63372 1100 22 to to TO 63372 1100 23 betray betray VB 63372 1100 24 the the DT 63372 1100 25 least least JJS 63372 1100 26 material material JJ 63372 1100 27 evidence evidence NN 63372 1100 28 of of IN 63372 1100 29 any any DT 63372 1100 30 medium medium NN 63372 1100 31 for for IN 63372 1100 32 its -PRON- PRP$ 63372 1100 33 transmission transmission NN 63372 1100 34 , , , 63372 1100 35 rather rather RB 63372 1100 36 fortifies fortify VBZ 63372 1100 37 us -PRON- PRP 63372 1100 38 in in IN 63372 1100 39 believing believe VBG 63372 1100 40 that that IN 63372 1100 41 Einstein Einstein NNP 63372 1100 42 's 's POS 63372 1100 43 assumption assumption NN 63372 1100 44 regarding regard VBG 63372 1100 45 the the DT 63372 1100 46 ultimate ultimate JJ 63372 1100 47 character character NN 63372 1100 48 of of IN 63372 1100 49 this this DT 63372 1100 50 velocity velocity NN 63372 1100 51 is be VBZ 63372 1100 52 in in IN 63372 1100 53 accord accord NN 63372 1100 54 with with IN 63372 1100 55 the the DT 63372 1100 56 nature nature NN 63372 1100 57 of of IN 63372 1100 58 things thing NNS 63372 1100 59 . . . 63372 1101 1 RELATIVITY RELATIVITY NNP 63372 1101 2 AND and CC 63372 1101 3 THE the DT 63372 1101 4 LAYMAN layman NN 63372 1101 5 A a DT 63372 1101 6 great great JJ 63372 1101 7 deal deal NN 63372 1101 8 can can MD 63372 1101 9 be be VB 63372 1101 10 said say VBN 63372 1101 11 in in IN 63372 1101 12 the the DT 63372 1101 13 direction direction NN 63372 1101 14 of of IN 63372 1101 15 general general JJ 63372 1101 16 comment comment NN 63372 1101 17 making make VBG 63372 1101 18 the the DT 63372 1101 19 Special Special NNP 63372 1101 20 Theory Theory NNP 63372 1101 21 and and CC 63372 1101 22 its -PRON- PRP$ 63372 1101 23 surprising surprising JJ 63372 1101 24 accompaniments accompaniment NNS 63372 1101 25 easier easy JJR 63372 1101 26 of of IN 63372 1101 27 acceptance acceptance NN 63372 1101 28 , , , 63372 1101 29 and and CC 63372 1101 30 we -PRON- PRP 63372 1101 31 shall shall MD 63372 1101 32 conclude conclude VB 63372 1101 33 the the DT 63372 1101 34 present present JJ 63372 1101 35 discussion discussion NN 63372 1101 36 by by IN 63372 1101 37 saying say VBG 63372 1101 38 some some DT 63372 1101 39 of of IN 63372 1101 40 these these DT 63372 1101 41 things thing NNS 63372 1101 42 . . . 63372 1102 1 ] ] -RRB- 63372 1102 2 * * NFP 63372 1102 3 [ [ -LRB- 63372 1102 4 It -PRON- PRP 63372 1102 5 has have VBZ 63372 1102 6 been be VBN 63372 1102 7 objected object VBN 63372 1102 8 that that IN 63372 1102 9 the the DT 63372 1102 10 various various JJ 63372 1102 11 effects effect NNS 63372 1102 12 catalogued catalogue VBN 63372 1102 13 above above RB 63372 1102 14 are be VBP 63372 1102 15 only only RB 63372 1102 16 apparent apparent JJ 63372 1102 17 , , , 63372 1102 18 due due IN 63372 1102 19 to to IN 63372 1102 20 the the DT 63372 1102 21 finite finite JJ 63372 1102 22 velocity velocity NN 63372 1102 23 of of IN 63372 1102 24 light light NN 63372 1102 25 -- -- : 63372 1102 26 that that IN 63372 1102 27 the the DT 63372 1102 28 real real JJ 63372 1102 29 shape shape NN 63372 1102 30 and and CC 63372 1102 31 size size NN 63372 1102 32 of of IN 63372 1102 33 a a DT 63372 1102 34 body body NN 63372 1102 35 or or CC 63372 1102 36 the the DT 63372 1102 37 real real JJ 63372 1102 38 time time NN 63372 1102 39 of of IN 63372 1102 40 an an DT 63372 1102 41 event event NN 63372 1102 42 can can MD 63372 1102 43 not not RB 63372 1102 44 be be VB 63372 1102 45 affected affect VBN 63372 1102 46 by by IN 63372 1102 47 the the DT 63372 1102 48 point point NN 63372 1102 49 of of IN 63372 1102 50 view view NN 63372 1102 51 or or CC 63372 1102 52 the the DT 63372 1102 53 motion motion NN 63372 1102 54 of of IN 63372 1102 55 an an DT 63372 1102 56 observer observer NN 63372 1102 57 . . . 63372 1103 1 This this DT 63372 1103 2 argument argument NN 63372 1103 3 would would MD 63372 1103 4 be be VB 63372 1103 5 perfectly perfectly RB 63372 1103 6 valid valid JJ 63372 1103 7 , , , 63372 1103 8 if if IN 63372 1103 9 there there EX 63372 1103 10 were be VBD 63372 1103 11 real real JJ 63372 1103 12 times time NNS 63372 1103 13 and and CC 63372 1103 14 distances distance NNS 63372 1103 15 ; ; : 63372 1103 16 but but CC 63372 1103 17 there there EX 63372 1103 18 are be VBP 63372 1103 19 not not RB 63372 1103 20 . . . 63372 1104 1 These these DT 63372 1104 2 are be VBP 63372 1104 3 earth earth NN 63372 1104 4 - - HYPH 63372 1104 5 bound bind VBN 63372 1104 6 notions notion NNS 63372 1104 7 , , , 63372 1104 8 due due IN 63372 1104 9 to to IN 63372 1104 10 our -PRON- PRP$ 63372 1104 11 experience experience NN 63372 1104 12 on on IN 63372 1104 13 an an DT 63372 1104 14 apparently apparently RB 63372 1104 15 motionless motionless JJ 63372 1104 16 platform platform NN 63372 1104 17 , , , 63372 1104 18 with with IN 63372 1104 19 slow slow RB 63372 1104 20 - - HYPH 63372 1104 21 moving move VBG 63372 1104 22 bodies body NNS 63372 1104 23 . . . 63372 1105 1 Under under IN 63372 1105 2 these these DT 63372 1105 3 circumstances circumstance NNS 63372 1105 4 different different JJ 63372 1105 5 observations observation NNS 63372 1105 6 of of IN 63372 1105 7 the the DT 63372 1105 8 same same JJ 63372 1105 9 thing thing NN 63372 1105 10 or or CC 63372 1105 11 of of IN 63372 1105 12 the the DT 63372 1105 13 same same JJ 63372 1105 14 event event NN 63372 1105 15 agree agree VBP 63372 1105 16 . . . 63372 1106 1 But but CC 63372 1106 2 when when WRB 63372 1106 3 we -PRON- PRP 63372 1106 4 no no RB 63372 1106 5 longer longer RB 63372 1106 6 have have VBP 63372 1106 7 the the DT 63372 1106 8 solid solid JJ 63372 1106 9 earth earth NN 63372 1106 10 to to TO 63372 1106 11 stand stand VB 63372 1106 12 on on RP 63372 1106 13 , , , 63372 1106 14 and and CC 63372 1106 15 are be VBP 63372 1106 16 dealing deal VBG 63372 1106 17 with with IN 63372 1106 18 velocities velocity NNS 63372 1106 19 so so RB 63372 1106 20 high high JJ 63372 1106 21 that that IN 63372 1106 22 the the DT 63372 1106 23 relativity relativity NN 63372 1106 24 effects effect NNS 63372 1106 25 become become VBP 63372 1106 26 appreciable appreciable JJ 63372 1106 27 , , , 63372 1106 28 there there EX 63372 1106 29 is be VBZ 63372 1106 30 no no DT 63372 1106 31 standard standard NN 63372 1106 32 by by IN 63372 1106 33 which which WDT 63372 1106 34 to to TO 63372 1106 35 resolve resolve VB 63372 1106 36 the the DT 63372 1106 37 disagreements disagreement NNS 63372 1106 38 . . . 63372 1107 1 No no DT 63372 1107 2 one one NN 63372 1107 3 of of IN 63372 1107 4 the the DT 63372 1107 5 observations observation NNS 63372 1107 6 can can MD 63372 1107 7 claim claim VB 63372 1107 8 to to TO 63372 1107 9 be be VB 63372 1107 10 nearer near JJR 63372 1107 11 reality reality NN 63372 1107 12 than than IN 63372 1107 13 any any DT 63372 1107 14 other other JJ 63372 1107 15 . . . 63372 1108 1 To to TO 63372 1108 2 demand demand VB 63372 1108 3 the the DT 63372 1108 4 real real JJ 63372 1108 5 size size NN 63372 1108 6 of of IN 63372 1108 7 a a DT 63372 1108 8 thing thing NN 63372 1108 9 is be VBZ 63372 1108 10 to to TO 63372 1108 11 demand demand VB 63372 1108 12 a a DT 63372 1108 13 stationary stationary JJ 63372 1108 14 observer observer NN 63372 1108 15 or or CC 63372 1108 16 an an DT 63372 1108 17 instantaneous instantaneous JJ 63372 1108 18 means mean NNS 63372 1108 19 of of IN 63372 1108 20 information information NN 63372 1108 21 . . . 63372 1109 1 Both both DT 63372 1109 2 are be VBP 63372 1109 3 impossible impossible JJ 63372 1109 4 . . . 63372 1110 1 When when WRB 63372 1110 2 relativity relativity NN 63372 1110 3 asks ask VBZ 63372 1110 4 us -PRON- PRP 63372 1110 5 to to TO 63372 1110 6 give give VB 63372 1110 7 up up RP 63372 1110 8 our -PRON- PRP$ 63372 1110 9 earth earth NN 63372 1110 10 - - HYPH 63372 1110 11 bound bind VBN 63372 1110 12 notions notion NNS 63372 1110 13 of of IN 63372 1110 14 absolute absolute JJ 63372 1110 15 space space NN 63372 1110 16 and and CC 63372 1110 17 absolute absolute JJ 63372 1110 18 time time NN 63372 1110 19 the the DT 63372 1110 20 sensation sensation NN 63372 1110 21 , , , 63372 1110 22 at at IN 63372 1110 23 first first RB 63372 1110 24 , , , 63372 1110 25 is be VBZ 63372 1110 26 that that IN 63372 1110 27 we -PRON- PRP 63372 1110 28 have have VBP 63372 1110 29 nothing nothing NN 63372 1110 30 left leave VBN 63372 1110 31 to to TO 63372 1110 32 stand stand VB 63372 1110 33 on on IN 63372 1110 34 . . . 63372 1111 1 So so CC 63372 1111 2 must must MD 63372 1111 3 the the DT 63372 1111 4 contemporaries contemporary NNS 63372 1111 5 of of IN 63372 1111 6 Columbus Columbus NNP 63372 1111 7 have have VBP 63372 1111 8 felt feel VBN 63372 1111 9 when when WRB 63372 1111 10 told tell VBN 63372 1111 11 that that IN 63372 1111 12 the the DT 63372 1111 13 earth earth NN 63372 1111 14 rested rest VBD 63372 1111 15 on on IN 63372 1111 16 -- -- : 63372 1111 17 nothing nothing NN 63372 1111 18 . . . 63372 1112 1 The the DT 63372 1112 2 remedy remedy NN 63372 1112 3 too too RB 63372 1112 4 is be VBZ 63372 1112 5 similar similar JJ 63372 1112 6 . . . 63372 1113 1 Just just RB 63372 1113 2 as as IN 63372 1113 3 they -PRON- PRP 63372 1113 4 had have VBD 63372 1113 5 to to TO 63372 1113 6 be be VB 63372 1113 7 taught teach VBN 63372 1113 8 that that IN 63372 1113 9 falling fall VBG 63372 1113 10 is be VBZ 63372 1113 11 a a DT 63372 1113 12 local local JJ 63372 1113 13 affair affair NN 63372 1113 14 , , , 63372 1113 15 that that IN 63372 1113 16 the the DT 63372 1113 17 earth earth NN 63372 1113 18 is be VBZ 63372 1113 19 self self NN 63372 1113 20 - - HYPH 63372 1113 21 contained contain VBN 63372 1113 22 , , , 63372 1113 23 and and CC 63372 1113 24 needs need VBZ 63372 1113 25 no no DT 63372 1113 26 external external JJ 63372 1113 27 support support NN 63372 1113 28 -- -- : 63372 1113 29 so so CC 63372 1113 30 we -PRON- PRP 63372 1113 31 must must MD 63372 1113 32 be be VB 63372 1113 33 taught teach VBN 63372 1113 34 that that DT 63372 1113 35 space space NN 63372 1113 36 and and CC 63372 1113 37 time time NN 63372 1113 38 standards standard NNS 63372 1113 39 are be VBP 63372 1113 40 local local JJ 63372 1113 41 affairs affair NNS 63372 1113 42 . . . 63372 1114 1 Each each DT 63372 1114 2 moving move VBG 63372 1114 3 body body NN 63372 1114 4 carries carry VBZ 63372 1114 5 its -PRON- PRP$ 63372 1114 6 own own JJ 63372 1114 7 space space NN 63372 1114 8 and and CC 63372 1114 9 time time NN 63372 1114 10 standards standard NNS 63372 1114 11 with with IN 63372 1114 12 it -PRON- PRP 63372 1114 13 ; ; : 63372 1114 14 it -PRON- PRP 63372 1114 15 is be VBZ 63372 1114 16 self self NN 63372 1114 17 - - HYPH 63372 1114 18 contained contain VBN 63372 1114 19 . . . 63372 1115 1 It -PRON- PRP 63372 1115 2 does do VBZ 63372 1115 3 not not RB 63372 1115 4 need need VB 63372 1115 5 to to TO 63372 1115 6 reach reach VB 63372 1115 7 out out RP 63372 1115 8 for for IN 63372 1115 9 eternal eternal JJ 63372 1115 10 support support NN 63372 1115 11 , , , 63372 1115 12 for for IN 63372 1115 13 an an DT 63372 1115 14 absolute absolute JJ 63372 1115 15 space space NN 63372 1115 16 and and CC 63372 1115 17 time time NN 63372 1115 18 that that WDT 63372 1115 19 can can MD 63372 1115 20 never never RB 63372 1115 21 quite quite RB 63372 1115 22 be be VB 63372 1115 23 attained attain VBN 63372 1115 24 . . . 63372 1116 1 All all DT 63372 1116 2 we -PRON- PRP 63372 1116 3 ever ever RB 63372 1116 4 need need VBP 63372 1116 5 to to TO 63372 1116 6 know know VB 63372 1116 7 is be VBZ 63372 1116 8 the the DT 63372 1116 9 relation relation NN 63372 1116 10 of of IN 63372 1116 11 the the DT 63372 1116 12 other other JJ 63372 1116 13 fellow fellow NN 63372 1116 14 's 's POS 63372 1116 15 space space NN 63372 1116 16 and and CC 63372 1116 17 time time NN 63372 1116 18 standards standard NNS 63372 1116 19 to to IN 63372 1116 20 our -PRON- PRP$ 63372 1116 21 own own JJ 63372 1116 22 . . . 63372 1117 1 This this DT 63372 1117 2 is be VBZ 63372 1117 3 the the DT 63372 1117 4 first first JJ 63372 1117 5 thing thing NN 63372 1117 6 relativity relativity NN 63372 1117 7 teaches teach VBZ 63372 1117 8 us -PRON- PRP 63372 1117 9 . . . 63372 1118 1 ] ] -RRB- 63372 1118 2 141 141 CD 63372 1118 3 [ [ -LRB- 63372 1118 4 The the DT 63372 1118 5 consequences consequence NNS 63372 1118 6 of of IN 63372 1118 7 Einstein Einstein NNP 63372 1118 8 's 's POS 63372 1118 9 assumptions assumption NNS 63372 1118 10 have have VBP 63372 1118 11 led lead VBN 63372 1118 12 many many JJ 63372 1118 13 to to TO 63372 1118 14 reject reject VB 63372 1118 15 the the DT 63372 1118 16 theory theory NN 63372 1118 17 of of IN 63372 1118 18 relativity relativity NN 63372 1118 19 , , , 63372 1118 20 on on IN 63372 1118 21 the the DT 63372 1118 22 ground ground NN 63372 1118 23 that that IN 63372 1118 24 its -PRON- PRP$ 63372 1118 25 conclusions conclusion NNS 63372 1118 26 are be VBP 63372 1118 27 contrary contrary JJ 63372 1118 28 to to IN 63372 1118 29 common common JJ 63372 1118 30 sense sense NN 63372 1118 31 -- -- : 63372 1118 32 as as IN 63372 1118 33 they -PRON- PRP 63372 1118 34 undoubtedly undoubtedly RB 63372 1118 35 are be VBP 63372 1118 36 . . . 63372 1119 1 But but CC 63372 1119 2 to to IN 63372 1119 3 the the DT 63372 1119 4 contemporaries contemporary NNS 63372 1119 5 of of IN 63372 1119 6 Copernicus Copernicus NNP 63372 1119 7 and and CC 63372 1119 8 Galileo Galileo NNP 63372 1119 9 the the DT 63372 1119 10 theory theory NN 63372 1119 11 that that IN 63372 1119 12 the the DT 63372 1119 13 earth earth NN 63372 1119 14 rotates rotate VBZ 63372 1119 15 on on IN 63372 1119 16 its -PRON- PRP$ 63372 1119 17 axis axi NNS 63372 1119 18 and and CC 63372 1119 19 revolves revolve VBZ 63372 1119 20 around around IN 63372 1119 21 the the DT 63372 1119 22 sun sun NN 63372 1119 23 was be VBD 63372 1119 24 contrary contrary JJ 63372 1119 25 to to IN 63372 1119 26 common common JJ 63372 1119 27 sense sense NN 63372 1119 28 ; ; : 63372 1119 29 yet yet CC 63372 1119 30 this this DT 63372 1119 31 theory theory NN 63372 1119 32 prevailed prevail VBD 63372 1119 33 . . . 63372 1120 1 There there EX 63372 1120 2 is be VBZ 63372 1120 3 nothing nothing NN 63372 1120 4 sacred sacred JJ 63372 1120 5 about about IN 63372 1120 6 common common JJ 63372 1120 7 sense sense NN 63372 1120 8 ; ; : 63372 1120 9 in in IN 63372 1120 10 the the DT 63372 1120 11 last last JJ 63372 1120 12 analysis analysis NN 63372 1120 13 its -PRON- PRP$ 63372 1120 14 judgments judgment NNS 63372 1120 15 are be VBP 63372 1120 16 based base VBN 63372 1120 17 on on IN 63372 1120 18 the the DT 63372 1120 19 accumulated accumulate VBN 63372 1120 20 experience experience NN 63372 1120 21 of of IN 63372 1120 22 the the DT 63372 1120 23 human human JJ 63372 1120 24 race race NN 63372 1120 25 . . . 63372 1121 1 From from IN 63372 1121 2 the the DT 63372 1121 3 beginning beginning NN 63372 1121 4 of of IN 63372 1121 5 the the DT 63372 1121 6 world world NN 63372 1121 7 up up IN 63372 1121 8 to to IN 63372 1121 9 the the DT 63372 1121 10 present present JJ 63372 1121 11 generation generation NN 63372 1121 12 , , , 63372 1121 13 no no DT 63372 1121 14 bodies body NNS 63372 1121 15 were be VBD 63372 1121 16 known know VBN 63372 1121 17 whose whose WP$ 63372 1121 18 velocities velocity NNS 63372 1121 19 were be VBD 63372 1121 20 not not RB 63372 1121 21 extremely extremely RB 63372 1121 22 small small JJ 63372 1121 23 compared compare VBN 63372 1121 24 with with IN 63372 1121 25 that that DT 63372 1121 26 of of IN 63372 1121 27 light light NN 63372 1121 28 . . . 63372 1122 1 The the DT 63372 1122 2 development development NN 63372 1122 3 of of IN 63372 1122 4 modern modern JJ 63372 1122 5 physics physics NN 63372 1122 6 has have VBZ 63372 1122 7 led lead VBN 63372 1122 8 to to IN 63372 1122 9 discovery discovery NN 63372 1122 10 of of IN 63372 1122 11 very very RB 63372 1122 12 much much RB 63372 1122 13 larger large JJR 63372 1122 14 velocities velocity NNS 63372 1122 15 , , , 63372 1122 16 some some DT 63372 1122 17 as as RB 63372 1122 18 high high JJ 63372 1122 19 as as IN 63372 1122 20 165,000 165,000 CD 63372 1122 21 miles mile NNS 63372 1122 22 per per IN 63372 1122 23 second second NN 63372 1122 24 . . . 63372 1123 1 It -PRON- PRP 63372 1123 2 is be VBZ 63372 1123 3 not not RB 63372 1123 4 to to TO 63372 1123 5 be be VB 63372 1123 6 wondered wonder VBN 63372 1123 7 at at IN 63372 1123 8 that that DT 63372 1123 9 such such PDT 63372 1123 10 an an DT 63372 1123 11 enlargement enlargement NN 63372 1123 12 of of IN 63372 1123 13 our -PRON- PRP$ 63372 1123 14 experience experience NN 63372 1123 15 requires require VBZ 63372 1123 16 a a DT 63372 1123 17 corresponding corresponding JJ 63372 1123 18 enlargement enlargement NN 63372 1123 19 or or CC 63372 1123 20 generalization generalization NN 63372 1123 21 of of IN 63372 1123 22 the the DT 63372 1123 23 concepts concept NNS 63372 1123 24 of of IN 63372 1123 25 space space NN 63372 1123 26 and and CC 63372 1123 27 time time NN 63372 1123 28 . . . 63372 1124 1 Just just RB 63372 1124 2 as as IN 63372 1124 3 the the DT 63372 1124 4 presupposition presupposition NN 63372 1124 5 of of IN 63372 1124 6 primitive primitive JJ 63372 1124 7 man man NN 63372 1124 8 that that WDT 63372 1124 9 the the DT 63372 1124 10 earth earth NN 63372 1124 11 was be VBD 63372 1124 12 flat flat JJ 63372 1124 13 had have VBD 63372 1124 14 to to TO 63372 1124 15 be be VB 63372 1124 16 given give VBN 63372 1124 17 up up RP 63372 1124 18 in in IN 63372 1124 19 the the DT 63372 1124 20 light light NN 63372 1124 21 of of IN 63372 1124 22 advancing advance VBG 63372 1124 23 knowledge knowledge NN 63372 1124 24 , , , 63372 1124 25 so so CC 63372 1124 26 we -PRON- PRP 63372 1124 27 are be VBP 63372 1124 28 now now RB 63372 1124 29 called call VBN 63372 1124 30 upon upon IN 63372 1124 31 to to TO 63372 1124 32 give give VB 63372 1124 33 up up RP 63372 1124 34 our -PRON- PRP$ 63372 1124 35 presupposition presupposition NN 63372 1124 36 that that DT 63372 1124 37 space space NN 63372 1124 38 and and CC 63372 1124 39 time time NN 63372 1124 40 are be VBP 63372 1124 41 absolute absolute JJ 63372 1124 42 and and CC 63372 1124 43 independent independent JJ 63372 1124 44 in in IN 63372 1124 45 their -PRON- PRP$ 63372 1124 46 nature nature NN 63372 1124 47 . . . 63372 1125 1 The the DT 63372 1125 2 reader reader NN 63372 1125 3 must must MD 63372 1125 4 not not RB 63372 1125 5 expect expect VB 63372 1125 6 to to TO 63372 1125 7 understand understand VB 63372 1125 8 the the DT 63372 1125 9 theory theory NN 63372 1125 10 of of IN 63372 1125 11 relativity relativity NN 63372 1125 12 in in IN 63372 1125 13 the the DT 63372 1125 14 sense sense NN 63372 1125 15 of of IN 63372 1125 16 making make VBG 63372 1125 17 it -PRON- PRP 63372 1125 18 fit fit JJ 63372 1125 19 in in RP 63372 1125 20 with with IN 63372 1125 21 his -PRON- PRP$ 63372 1125 22 previous previous JJ 63372 1125 23 ideas idea NNS 63372 1125 24 . . . 63372 1126 1 If if IN 63372 1126 2 the the DT 63372 1126 3 theory theory NN 63372 1126 4 be be VB 63372 1126 5 right right JJ 63372 1126 6 these these DT 63372 1126 7 ideas idea NNS 63372 1126 8 are be VBP 63372 1126 9 wrong wrong JJ 63372 1126 10 and and CC 63372 1126 11 must must MD 63372 1126 12 be be VB 63372 1126 13 modified modify VBN 63372 1126 14 , , , 63372 1126 15 a a DT 63372 1126 16 process process NN 63372 1126 17 apt apt JJ 63372 1126 18 to to TO 63372 1126 19 be be VB 63372 1126 20 painful painful JJ 63372 1126 21 . . . 63372 1127 1 ] ] -RRB- 63372 1127 2 223 223 CD 63372 1127 3 [ [ -LRB- 63372 1127 4 All all PDT 63372 1127 5 the the DT 63372 1127 6 reader reader NN 63372 1127 7 can can MD 63372 1127 8 do do VB 63372 1127 9 is be VBZ 63372 1127 10 to to TO 63372 1127 11 become become VB 63372 1127 12 familiar familiar JJ 63372 1127 13 with with IN 63372 1127 14 the the DT 63372 1127 15 new new JJ 63372 1127 16 concepts concept NNS 63372 1127 17 , , , 63372 1127 18 just just RB 63372 1127 19 as as IN 63372 1127 20 a a DT 63372 1127 21 child child NN 63372 1127 22 gets get VBZ 63372 1127 23 used use VBN 63372 1127 24 to to IN 63372 1127 25 the the DT 63372 1127 26 simple simple JJ 63372 1127 27 relations relation NNS 63372 1127 28 and and CC 63372 1127 29 quantities quantity NNS 63372 1127 30 he -PRON- PRP 63372 1127 31 meets meet VBZ 63372 1127 32 until until IN 63372 1127 33 he -PRON- PRP 63372 1127 34 " " `` 63372 1127 35 understands understand VBZ 63372 1127 36 " " '' 63372 1127 37 them -PRON- PRP 63372 1127 38 . . . 63372 1128 1 ] ] -RRB- 63372 1128 2 221 221 CD 63372 1128 3 [ [ -LRB- 63372 1128 4 Mr. Mr. NNP 63372 1128 5 Francis Francis NNP 63372 1128 6 has have VBZ 63372 1128 7 said say VBN 63372 1128 8 something something NN 63372 1128 9 of of IN 63372 1128 10 the the DT 63372 1128 11 utmost utmost JJ 63372 1128 12 significance significance NN 63372 1128 13 when when WRB 63372 1128 14 he -PRON- PRP 63372 1128 15 points point VBZ 63372 1128 16 out out RP 63372 1128 17 that that IN 63372 1128 18 " " `` 63372 1128 19 understanding understand VBG 63372 1128 20 " " '' 63372 1128 21 really really RB 63372 1128 22 means mean VBZ 63372 1128 23 nothing nothing NN 63372 1128 24 in in IN 63372 1128 25 the the DT 63372 1128 26 world world NN 63372 1128 27 except except IN 63372 1128 28 familiarity familiarity NN 63372 1128 29 and and CC 63372 1128 30 accustomedness accustomedness NN 63372 1128 31 . . . 63372 1129 1 ] ] -RRB- 63372 1129 2 * * NFP 63372 1129 3 [ [ -LRB- 63372 1129 4 The the DT 63372 1129 5 one one CD 63372 1129 6 thing thing NN 63372 1129 7 about about IN 63372 1129 8 the the DT 63372 1129 9 relativity relativity NN 63372 1129 10 doctrine doctrine NN 63372 1129 11 that that IN 63372 1129 12 we -PRON- PRP 63372 1129 13 can can MD 63372 1129 14 hope hope VB 63372 1129 15 thus thus RB 63372 1129 16 to to TO 63372 1129 17 understand understand VB 63372 1129 18 at at IN 63372 1129 19 once once RB 63372 1129 20 and and CC 63372 1129 21 without without IN 63372 1129 22 pain pain NN 63372 1129 23 is be VBZ 63372 1129 24 the the DT 63372 1129 25 logical logical JJ 63372 1129 26 process process NN 63372 1129 27 used use VBN 63372 1129 28 in in IN 63372 1129 29 arriving arrive VBG 63372 1129 30 at at IN 63372 1129 31 our -PRON- PRP$ 63372 1129 32 results result NNS 63372 1129 33 . . . 63372 1130 1 ] ] -RRB- 63372 1130 2 221 221 CD 63372 1130 3 [ [ -LRB- 63372 1130 4 Particularly particularly RB 63372 1130 5 is be VBZ 63372 1130 6 it -PRON- PRP 63372 1130 7 hard hard JJ 63372 1130 8 to to TO 63372 1130 9 give give VB 63372 1130 10 a a DT 63372 1130 11 satisfactory satisfactory JJ 63372 1130 12 explanation explanation NN 63372 1130 13 of of IN 63372 1130 14 the the DT 63372 1130 15 theory theory NN 63372 1130 16 in in IN 63372 1130 17 popular popular JJ 63372 1130 18 language language NN 63372 1130 19 , , , 63372 1130 20 because because IN 63372 1130 21 the the DT 63372 1130 22 language language NN 63372 1130 23 itself -PRON- PRP 63372 1130 24 is be VBZ 63372 1130 25 based base VBN 63372 1130 26 on on IN 63372 1130 27 the the DT 63372 1130 28 old old JJ 63372 1130 29 concepts concept NNS 63372 1130 30 ; ; : 63372 1130 31 the the DT 63372 1130 32 only only JJ 63372 1130 33 language language NN 63372 1130 34 which which WDT 63372 1130 35 is be VBZ 63372 1130 36 really really RB 63372 1130 37 adequate adequate JJ 63372 1130 38 is be VBZ 63372 1130 39 that that DT 63372 1130 40 of of IN 63372 1130 41 mathematics mathematic NNS 63372 1130 42 . . . 63372 1131 1 ] ] -RRB- 63372 1131 2 223 223 CD 63372 1131 3 [ [ -LRB- 63372 1131 4 Unless unless IN 63372 1131 5 we -PRON- PRP 63372 1131 6 have have VBP 63372 1131 7 , , , 63372 1131 8 in in IN 63372 1131 9 addition addition NN 63372 1131 10 to to IN 63372 1131 11 the the DT 63372 1131 12 terms term NNS 63372 1131 13 of of IN 63372 1131 14 our -PRON- PRP$ 63372 1131 15 ordinary ordinary JJ 63372 1131 16 knowledge knowledge NN 63372 1131 17 , , , 63372 1131 18 a a DT 63372 1131 19 set set NN 63372 1131 20 of of IN 63372 1131 21 definitions definition NNS 63372 1131 22 that that WDT 63372 1131 23 comes come VBZ 63372 1131 24 with with IN 63372 1131 25 a a DT 63372 1131 26 wide wide JJ 63372 1131 27 knowledge knowledge NN 63372 1131 28 of of IN 63372 1131 29 mathematics mathematic NNS 63372 1131 30 and and CC 63372 1131 31 a a DT 63372 1131 32 lively lively JJ 63372 1131 33 sense sense NN 63372 1131 34 of of IN 63372 1131 35 the the DT 63372 1131 36 reality reality NN 63372 1131 37 of of IN 63372 1131 38 mathematical mathematical JJ 63372 1131 39 constructions construction NNS 63372 1131 40 , , , 63372 1131 41 we -PRON- PRP 63372 1131 42 are be VBP 63372 1131 43 likely likely JJ 63372 1131 44 to to TO 63372 1131 45 view view VB 63372 1131 46 the the DT 63372 1131 47 theory theory NN 63372 1131 48 of of IN 63372 1131 49 relativity relativity NN 63372 1131 50 through through IN 63372 1131 51 a a DT 63372 1131 52 fog fog NN 63372 1131 53 of of IN 63372 1131 54 familiar familiar JJ 63372 1131 55 terms term NNS 63372 1131 56 suddenly suddenly RB 63372 1131 57 become become VBP 63372 1131 58 self self NN 63372 1131 59 - - HYPH 63372 1131 60 contradictory contradictory JJ 63372 1131 61 and and CC 63372 1131 62 deceptive deceptive JJ 63372 1131 63 . . . 63372 1132 1 Not not RB 63372 1132 2 that that IN 63372 1132 3 we -PRON- PRP 63372 1132 4 are be VBP 63372 1132 5 unfamiliar unfamiliar JJ 63372 1132 6 with with IN 63372 1132 7 the the DT 63372 1132 8 idea idea NN 63372 1132 9 that that IN 63372 1132 10 some some DT 63372 1132 11 of of IN 63372 1132 12 our -PRON- PRP$ 63372 1132 13 habitual habitual JJ 63372 1132 14 notions notion NNS 63372 1132 15 may may MD 63372 1132 16 be be VB 63372 1132 17 wrong wrong JJ 63372 1132 18 ; ; : 63372 1132 19 but but CC 63372 1132 20 knowledge knowledge NN 63372 1132 21 of of IN 63372 1132 22 their -PRON- PRP$ 63372 1132 23 illusory illusory JJ 63372 1132 24 nature nature NN 63372 1132 25 arises arise VBZ 63372 1132 26 and and CC 63372 1132 27 becomes become VBZ 63372 1132 28 convincing convincing JJ 63372 1132 29 only only RB 63372 1132 30 with with IN 63372 1132 31 time time NN 63372 1132 32 . . . 63372 1133 1 We -PRON- PRP 63372 1133 2 may may MD 63372 1133 3 now now RB 63372 1133 4 be be VB 63372 1133 5 ready ready JJ 63372 1133 6 to to TO 63372 1133 7 grant grant VB 63372 1133 8 that that IN 63372 1133 9 the the DT 63372 1133 10 earth earth NN 63372 1133 11 , , , 63372 1133 12 seemingly seemingly RB 63372 1133 13 so so RB 63372 1133 14 solid solid JJ 63372 1133 15 , , , 63372 1133 16 is be VBZ 63372 1133 17 really really RB 63372 1133 18 a a DT 63372 1133 19 whirling whirl VBG 63372 1133 20 globe globe NN 63372 1133 21 rushing rush VBG 63372 1133 22 through through IN 63372 1133 23 space space NN 63372 1133 24 ; ; : 63372 1133 25 but but CC 63372 1133 26 we -PRON- PRP 63372 1133 27 are be VBP 63372 1133 28 no no RB 63372 1133 29 more more RBR 63372 1133 30 ready ready JJ 63372 1133 31 immediately immediately RB 63372 1133 32 to to TO 63372 1133 33 accept accept VB 63372 1133 34 the the DT 63372 1133 35 bald bald JJ 63372 1133 36 assertion assertion NN 63372 1133 37 that that IN 63372 1133 38 this this DT 63372 1133 39 space space NN 63372 1133 40 is be VBZ 63372 1133 41 not not RB 63372 1133 42 what what WP 63372 1133 43 it -PRON- PRP 63372 1133 44 seems seem VBZ 63372 1133 45 than than IN 63372 1133 46 our -PRON- PRP$ 63372 1133 47 ancestors ancestor NNS 63372 1133 48 were be VBD 63372 1133 49 to to TO 63372 1133 50 accept accept VB 63372 1133 51 the the DT 63372 1133 52 idea idea NN 63372 1133 53 that that IN 63372 1133 54 the the DT 63372 1133 55 earth earth NN 63372 1133 56 was be VBD 63372 1133 57 round round RB 63372 1133 58 or or CC 63372 1133 59 that that IN 63372 1133 60 it -PRON- PRP 63372 1133 61 moved move VBD 63372 1133 62 . . . 63372 1134 1 ] ] -RRB- 63372 1134 2 156 156 CD 63372 1134 3 [ [ -LRB- 63372 1134 4 What what WP 63372 1134 5 we -PRON- PRP 63372 1134 6 must must MD 63372 1134 7 have have VB 63372 1134 8 , , , 63372 1134 9 if if IN 63372 1134 10 we -PRON- PRP 63372 1134 11 are be VBP 63372 1134 12 to to TO 63372 1134 13 comprehend comprehend VB 63372 1134 14 relativity relativity NN 63372 1134 15 with with IN 63372 1134 16 any any DT 63372 1134 17 degree degree NN 63372 1134 18 of of IN 63372 1134 19 thoroughness thoroughness NN 63372 1134 20 , , , 63372 1134 21 is be VBZ 63372 1134 22 the the DT 63372 1134 23 mathematician mathematician NN 63372 1134 24 's 's POS 63372 1134 25 attitude attitude NN 63372 1134 26 toward toward IN 63372 1134 27 his -PRON- PRP$ 63372 1134 28 assumptions assumption NNS 63372 1134 29 , , , 63372 1134 30 and and CC 63372 1134 31 his -PRON- PRP$ 63372 1134 32 complete complete JJ 63372 1134 33 readiness readiness NN 63372 1134 34 to to TO 63372 1134 35 swap swap VB 63372 1134 36 one one CD 63372 1134 37 set set NN 63372 1134 38 of of IN 63372 1134 39 assumptions assumption NNS 63372 1134 40 for for IN 63372 1134 41 another another DT 63372 1134 42 as as IN 63372 1134 43 a a DT 63372 1134 44 mere mere JJ 63372 1134 45 part part NN 63372 1134 46 of of IN 63372 1134 47 the the DT 63372 1134 48 day day NN 63372 1134 49 's 's POS 63372 1134 50 work work NN 63372 1134 51 , , , 63372 1134 52 the the DT 63372 1134 53 spirit spirit NN 63372 1134 54 of of IN 63372 1134 55 which which WDT 63372 1134 56 I -PRON- PRP 63372 1134 57 have have VBP 63372 1134 58 endeavored endeavor VBN 63372 1134 59 to to TO 63372 1134 60 convey convey VB 63372 1134 61 in in IN 63372 1134 62 the the DT 63372 1134 63 chapter chapter NN 63372 1134 64 on on IN 63372 1134 65 non non JJ 63372 1134 66 - - JJ 63372 1134 67 Euclidean euclidean JJ 63372 1134 68 geometry geometry NN 63372 1134 69 . . . 63372 1135 1 ] ] -RRB- 63372 1135 2 * * NFP 63372 1135 3 PHYSICS physics NN 63372 1135 4 VS VS NNP 63372 1135 5 . . . 63372 1135 6 METAPHYSICS metaphysic NNS 63372 1135 7 [ [ -LRB- 63372 1135 8 The the DT 63372 1135 9 ideas idea NNS 63372 1135 10 of of IN 63372 1135 11 relativity relativity NN 63372 1135 12 may may MD 63372 1135 13 seem seem VB 63372 1135 14 , , , 63372 1135 15 at at IN 63372 1135 16 first first JJ 63372 1135 17 sight sight NN 63372 1135 18 , , , 63372 1135 19 to to TO 63372 1135 20 be be VB 63372 1135 21 giving give VBG 63372 1135 22 us -PRON- PRP 63372 1135 23 a a DT 63372 1135 24 new new JJ 63372 1135 25 and and CC 63372 1135 26 metaphysical metaphysical JJ 63372 1135 27 theory theory NN 63372 1135 28 of of IN 63372 1135 29 time time NN 63372 1135 30 and and CC 63372 1135 31 space space NN 63372 1135 32 . . . 63372 1136 1 New new JJ 63372 1136 2 , , , 63372 1136 3 doubtless doubtless RB 63372 1136 4 ; ; : 63372 1136 5 but but CC 63372 1136 6 certainly certainly RB 63372 1136 7 the the DT 63372 1136 8 theory theory NN 63372 1136 9 was be VBD 63372 1136 10 meant mean VBN 63372 1136 11 by by IN 63372 1136 12 its -PRON- PRP$ 63372 1136 13 author author NN 63372 1136 14 to to TO 63372 1136 15 be be VB 63372 1136 16 quite quite PDT 63372 1136 17 the the DT 63372 1136 18 opposite opposite NN 63372 1136 19 of of IN 63372 1136 20 metaphysical metaphysical NN 63372 1136 21 . . . 63372 1137 1 Our -PRON- PRP$ 63372 1137 2 actual actual JJ 63372 1137 3 perception perception NN 63372 1137 4 of of IN 63372 1137 5 space space NN 63372 1137 6 is be VBZ 63372 1137 7 by by IN 63372 1137 8 measurement measurement NN 63372 1137 9 , , , 63372 1137 10 real real JJ 63372 1137 11 and and CC 63372 1137 12 imagined imagine VBN 63372 1137 13 , , , 63372 1137 14 of of IN 63372 1137 15 distances distance NNS 63372 1137 16 between between IN 63372 1137 17 objects object NNS 63372 1137 18 , , , 63372 1137 19 just just RB 63372 1137 20 as as IN 63372 1137 21 our -PRON- PRP$ 63372 1137 22 actual actual JJ 63372 1137 23 perception perception NN 63372 1137 24 of of IN 63372 1137 25 time time NN 63372 1137 26 is be VBZ 63372 1137 27 by by IN 63372 1137 28 measurement measurement NN 63372 1137 29 . . . 63372 1138 1 Is be VBZ 63372 1138 2 it -PRON- PRP 63372 1138 3 not not RB 63372 1138 4 less less RBR 63372 1138 5 metaphysical metaphysical JJ 63372 1138 6 to to TO 63372 1138 7 accept accept VB 63372 1138 8 space space NN 63372 1138 9 and and CC 63372 1138 10 time time NN 63372 1138 11 as as IN 63372 1138 12 our -PRON- PRP$ 63372 1138 13 measurements measurement NNS 63372 1138 14 present present VBP 63372 1138 15 them -PRON- PRP 63372 1138 16 to to IN 63372 1138 17 us -PRON- PRP 63372 1138 18 , , , 63372 1138 19 than than IN 63372 1138 20 to to TO 63372 1138 21 invent invent VB 63372 1138 22 hypotheses hypothesis NNS 63372 1138 23 to to TO 63372 1138 24 force force VB 63372 1138 25 our -PRON- PRP$ 63372 1138 26 perceptual perceptual JJ 63372 1138 27 space space NN 63372 1138 28 into into IN 63372 1138 29 an an DT 63372 1138 30 absolute absolute JJ 63372 1138 31 space space NN 63372 1138 32 that that WDT 63372 1138 33 is be VBZ 63372 1138 34 forever forever RB 63372 1138 35 hidden hide VBN 63372 1138 36 from from IN 63372 1138 37 us -PRON- PRP 63372 1138 38 ? ? . 63372 1139 1 ] ] -RRB- 63372 1139 2 182 182 CD 63372 1139 3 [ [ -LRB- 63372 1139 4 In in IN 63372 1139 5 order order NN 63372 1139 6 not not RB 63372 1139 7 to to TO 63372 1139 8 be be VB 63372 1139 9 metaphysical metaphysical JJ 63372 1139 10 , , , 63372 1139 11 we -PRON- PRP 63372 1139 12 must must MD 63372 1139 13 eliminate eliminate VB 63372 1139 14 our -PRON- PRP$ 63372 1139 15 preconceived preconceived JJ 63372 1139 16 notions notion NNS 63372 1139 17 of of IN 63372 1139 18 space space NN 63372 1139 19 and and CC 63372 1139 20 time time NN 63372 1139 21 and and CC 63372 1139 22 motion motion NN 63372 1139 23 , , , 63372 1139 24 and and CC 63372 1139 25 focus focus VB 63372 1139 26 our -PRON- PRP$ 63372 1139 27 attention attention NN 63372 1139 28 upon upon IN 63372 1139 29 the the DT 63372 1139 30 indications indication NNS 63372 1139 31 of of IN 63372 1139 32 our -PRON- PRP$ 63372 1139 33 instruments instrument NNS 63372 1139 34 of of IN 63372 1139 35 observation observation NN 63372 1139 36 , , , 63372 1139 37 as as IN 63372 1139 38 affording afford VBG 63372 1139 39 the the DT 63372 1139 40 only only JJ 63372 1139 41 objective objective JJ 63372 1139 42 manifestations manifestation NNS 63372 1139 43 of of IN 63372 1139 44 these these DT 63372 1139 45 qualities quality NNS 63372 1139 46 and and CC 63372 1139 47 therefore therefore RB 63372 1139 48 the the DT 63372 1139 49 only only JJ 63372 1139 50 attributes attribute NNS 63372 1139 51 which which WDT 63372 1139 52 we -PRON- PRP 63372 1139 53 can can MD 63372 1139 54 consider consider VB 63372 1139 55 as as IN 63372 1139 56 functions function NNS 63372 1139 57 of of IN 63372 1139 58 observed observed JJ 63372 1139 59 phenomena phenomenon NNS 63372 1139 60 . . . 63372 1140 1 ] ] -RRB- 63372 1140 2 47 47 CD 63372 1140 3 [ [ -LRB- 63372 1140 4 Einstein Einstein NNP 63372 1140 5 has have VBZ 63372 1140 6 consistently consistently RB 63372 1140 7 followed follow VBN 63372 1140 8 the the DT 63372 1140 9 teachings teaching NNS 63372 1140 10 of of IN 63372 1140 11 experience experience NN 63372 1140 12 , , , 63372 1140 13 and and CC 63372 1140 14 completely completely RB 63372 1140 15 freed free VBD 63372 1140 16 himself -PRON- PRP 63372 1140 17 from from IN 63372 1140 18 metaphysics metaphysic NNS 63372 1140 19 . . . 63372 1141 1 ] ] -RRB- 63372 1141 2 114 114 CD 63372 1141 3 [ [ -LRB- 63372 1141 4 That that IN 63372 1141 5 this this DT 63372 1141 6 is be VBZ 63372 1141 7 not not RB 63372 1141 8 always always RB 63372 1141 9 easy easy JJ 63372 1141 10 to to TO 63372 1141 11 do do VB 63372 1141 12 is be VBZ 63372 1141 13 clear clear JJ 63372 1141 14 , , , 63372 1141 15 I -PRON- PRP 63372 1141 16 think think VBP 63372 1141 17 , , , 63372 1141 18 if if IN 63372 1141 19 we -PRON- PRP 63372 1141 20 will will MD 63372 1141 21 recall recall VB 63372 1141 22 the the DT 63372 1141 23 highly highly RB 63372 1141 24 metaphysical metaphysical JJ 63372 1141 25 character character NN 63372 1141 26 often often RB 63372 1141 27 taken take VBN 63372 1141 28 by by IN 63372 1141 29 the the DT 63372 1141 30 objections objection NNS 63372 1141 31 to to IN 63372 1141 32 action action NN 63372 1141 33 - - HYPH 63372 1141 34 at at IN 63372 1141 35 - - HYPH 63372 1141 36 a a DT 63372 1141 37 - - HYPH 63372 1141 38 distance distance NN 63372 1141 39 theories theory NNS 63372 1141 40 and and CC 63372 1141 41 concepts concept NNS 63372 1141 42 ; ; : 63372 1141 43 and and CC 63372 1141 44 if if IN 63372 1141 45 we -PRON- PRP 63372 1141 46 will will MD 63372 1141 47 remind remind VB 63372 1141 48 ourselves -PRON- PRP 63372 1141 49 that that IN 63372 1141 50 it -PRON- PRP 63372 1141 51 was be VBD 63372 1141 52 on on IN 63372 1141 53 purely purely RB 63372 1141 54 metaphysical metaphysical JJ 63372 1141 55 grounds ground NNS 63372 1141 56 that that IN 63372 1141 57 Newton Newton NNP 63372 1141 58 refused refuse VBD 63372 1141 59 to to TO 63372 1141 60 countenance countenance VB 63372 1141 61 Huyghens Huyghens NNP 63372 1141 62 ' ' POS 63372 1141 63 wave wave NN 63372 1141 64 theory theory NN 63372 1141 65 of of IN 63372 1141 66 light light NN 63372 1141 67 . . . 63372 1142 1 Whether whether IN 63372 1142 2 , , , 63372 1142 3 as as IN 63372 1142 4 in in IN 63372 1142 5 the the DT 63372 1142 6 one one CD 63372 1142 7 case case NN 63372 1142 8 , , , 63372 1142 9 it -PRON- PRP 63372 1142 10 leads lead VBZ 63372 1142 11 us -PRON- PRP 63372 1142 12 to to IN 63372 1142 13 valid valid JJ 63372 1142 14 conclusions conclusion NNS 63372 1142 15 , , , 63372 1142 16 or or CC 63372 1142 17 , , , 63372 1142 18 as as IN 63372 1142 19 in in IN 63372 1142 20 the the DT 63372 1142 21 other other JJ 63372 1142 22 , , , 63372 1142 23 to to IN 63372 1142 24 false false JJ 63372 1142 25 ones one NNS 63372 1142 26 , , , 63372 1142 27 metaphysical metaphysical JJ 63372 1142 28 reasoning reasoning NN 63372 1142 29 is be VBZ 63372 1142 30 something something NN 63372 1142 31 to to TO 63372 1142 32 avoid avoid VB 63372 1142 33 . . . 63372 1143 1 Einstein Einstein NNP 63372 1143 2 , , , 63372 1143 3 I -PRON- PRP 63372 1143 4 think think VBP 63372 1143 5 , , , 63372 1143 6 has have VBZ 63372 1143 7 avoided avoid VBN 63372 1143 8 it -PRON- PRP 63372 1143 9 about about IN 63372 1143 10 as as RB 63372 1143 11 thoroughly thoroughly RB 63372 1143 12 as as IN 63372 1143 13 anyone anyone NN 63372 1143 14 ever ever RB 63372 1143 15 did do VBD 63372 1143 16 . . . 63372 1144 1 ] ] -RRB- 63372 1144 2 * * NFP 63372 1144 3 V v NN 63372 1144 4 THAT that WDT 63372 1144 5 PARALLEL parallel NN 63372 1144 6 POSTULATE postulate NN 63372 1144 7 Modern modern JJ 63372 1144 8 Geometric Geometric NNP 63372 1144 9 Methods method NNS 63372 1144 10 ; ; , 63372 1144 11 the the DT 63372 1144 12 Dividing divide VBG 63372 1144 13 Line line NN 63372 1144 14 Between between IN 63372 1144 15 Euclidean Euclidean NNP 63372 1144 16 and and CC 63372 1144 17 Non non JJ 63372 1144 18 - - JJ 63372 1144 19 Euclidean euclidean JJ 63372 1144 20 ; ; : 63372 1144 21 and and CC 63372 1144 22 the the DT 63372 1144 23 Significance significance NN 63372 1144 24 of of IN 63372 1144 25 the the DT 63372 1144 26 Latter Latter NNP 63372 1144 27 BY by IN 63372 1144 28 THE the DT 63372 1144 29 EDITOR EDITOR NNP 63372 1144 30 The the DT 63372 1144 31 science science NN 63372 1144 32 of of IN 63372 1144 33 geometry geometry NN 63372 1144 34 has have VBZ 63372 1144 35 undergone undergo VBN 63372 1144 36 a a DT 63372 1144 37 revolution revolution NN 63372 1144 38 of of IN 63372 1144 39 which which WDT 63372 1144 40 the the DT 63372 1144 41 outsider outsider NN 63372 1144 42 is be VBZ 63372 1144 43 not not RB 63372 1144 44 informed inform VBN 63372 1144 45 , , , 63372 1144 46 but but CC 63372 1144 47 which which WDT 63372 1144 48 it -PRON- PRP 63372 1144 49 is be VBZ 63372 1144 50 necessary necessary JJ 63372 1144 51 to to TO 63372 1144 52 understand understand VB 63372 1144 53 if if IN 63372 1144 54 we -PRON- PRP 63372 1144 55 are be VBP 63372 1144 56 to to TO 63372 1144 57 attain attain VB 63372 1144 58 any any DT 63372 1144 59 comprehension comprehension NN 63372 1144 60 of of IN 63372 1144 61 the the DT 63372 1144 62 geometric geometric JJ 63372 1144 63 formulation formulation NN 63372 1144 64 of of IN 63372 1144 65 Einstein Einstein NNP 63372 1144 66 's 's POS 63372 1144 67 results result NNS 63372 1144 68 ; ; : 63372 1144 69 and and CC 63372 1144 70 especially especially RB 63372 1144 71 if if IN 63372 1144 72 we -PRON- PRP 63372 1144 73 are be VBP 63372 1144 74 to to TO 63372 1144 75 appreciate appreciate VB 63372 1144 76 why why WRB 63372 1144 77 it -PRON- PRP 63372 1144 78 is be VBZ 63372 1144 79 proper proper JJ 63372 1144 80 and and CC 63372 1144 81 desirable desirable JJ 63372 1144 82 to to TO 63372 1144 83 formulate formulate VB 63372 1144 84 these these DT 63372 1144 85 results result NNS 63372 1144 86 geometrically geometrically RB 63372 1144 87 at at RB 63372 1144 88 all all RB 63372 1144 89 . . . 63372 1145 1 The the DT 63372 1145 2 classical classical JJ 63372 1145 3 geometer geometer NN 63372 1145 4 regarded regard VBD 63372 1145 5 his -PRON- PRP$ 63372 1145 6 science science NN 63372 1145 7 from from IN 63372 1145 8 a a DT 63372 1145 9 narrow narrow JJ 63372 1145 10 viewpoint viewpoint NN 63372 1145 11 , , , 63372 1145 12 as as IN 63372 1145 13 the the DT 63372 1145 14 study study NN 63372 1145 15 of of IN 63372 1145 16 a a DT 63372 1145 17 certain certain JJ 63372 1145 18 set set NN 63372 1145 19 of of IN 63372 1145 20 observed observe VBN 63372 1145 21 phenomena phenomenon NNS 63372 1145 22 -- -- : 63372 1145 23 those those DT 63372 1145 24 of of IN 63372 1145 25 the the DT 63372 1145 26 space space NN 63372 1145 27 about about IN 63372 1145 28 us -PRON- PRP 63372 1145 29 , , , 63372 1145 30 considered consider VBN 63372 1145 31 as as IN 63372 1145 32 an an DT 63372 1145 33 entity entity NN 63372 1145 34 in in IN 63372 1145 35 itself -PRON- PRP 63372 1145 36 and and CC 63372 1145 37 divorced divorce VBN 63372 1145 38 from from IN 63372 1145 39 everything everything NN 63372 1145 40 in in IN 63372 1145 41 it -PRON- PRP 63372 1145 42 . . . 63372 1146 1 It -PRON- PRP 63372 1146 2 is be VBZ 63372 1146 3 clear clear JJ 63372 1146 4 that that IN 63372 1146 5 some some DT 63372 1146 6 things thing NNS 63372 1146 7 about about IN 63372 1146 8 that that DT 63372 1146 9 space space NN 63372 1146 10 are be VBP 63372 1146 11 not not RB 63372 1146 12 as as IN 63372 1146 13 they -PRON- PRP 63372 1146 14 appear appear VBP 63372 1146 15 ( ( -LRB- 63372 1146 16 optical optical JJ 63372 1146 17 illusions illusion NNS 63372 1146 18 ) ) -RRB- 63372 1146 19 , , , 63372 1146 20 and and CC 63372 1146 21 that that IN 63372 1146 22 other other JJ 63372 1146 23 things thing NNS 63372 1146 24 about about IN 63372 1146 25 it -PRON- PRP 63372 1146 26 are be VBP 63372 1146 27 true true JJ 63372 1146 28 but but CC 63372 1146 29 by by IN 63372 1146 30 no no DT 63372 1146 31 means means NN 63372 1146 32 apparent apparent JJ 63372 1146 33 ( ( -LRB- 63372 1146 34 the the DT 63372 1146 35 sum sum NN 63372 1146 36 - - HYPH 63372 1146 37 of of IN 63372 1146 38 - - HYPH 63372 1146 39 squares square NNS 63372 1146 40 property property NN 63372 1146 41 of of IN 63372 1146 42 a a DT 63372 1146 43 right right JJ 63372 1146 44 triangle triangle NN 63372 1146 45 , , , 63372 1146 46 the the DT 63372 1146 47 formulà formulà NNP 63372 1146 48 ¦ ¦ : 63372 1146 49 for for IN 63372 1146 50 surface surface NN 63372 1146 51 and and CC 63372 1146 52 volume volume NN 63372 1146 53 of of IN 63372 1146 54 a a DT 63372 1146 55 sphere sphere NN 63372 1146 56 , , , 63372 1146 57 etc etc FW 63372 1146 58 . . . 63372 1146 59 ) ) -RRB- 63372 1146 60 . . . 63372 1147 1 While while IN 63372 1147 2 many many JJ 63372 1147 3 things thing NNS 63372 1147 4 about about IN 63372 1147 5 space space NN 63372 1147 6 are be VBP 63372 1147 7 " " `` 63372 1147 8 obvious obvious JJ 63372 1147 9 , , , 63372 1147 10 " " '' 63372 1147 11 these these DT 63372 1147 12 need need VBP 63372 1147 13 in in IN 63372 1147 14 the the DT 63372 1147 15 one one CD 63372 1147 16 case case NN 63372 1147 17 disproof disproof JJ 63372 1147 18 and and CC 63372 1147 19 in in IN 63372 1147 20 the the DT 63372 1147 21 other other JJ 63372 1147 22 discovery discovery NN 63372 1147 23 and and CC 63372 1147 24 proof proof NN 63372 1147 25 . . . 63372 1148 1 With with IN 63372 1148 2 all all DT 63372 1148 3 their -PRON- PRP$ 63372 1148 4 love love NN 63372 1148 5 of of IN 63372 1148 6 mental mental JJ 63372 1148 7 processes process NNS 63372 1148 8 for for IN 63372 1148 9 their -PRON- PRP$ 63372 1148 10 own own JJ 63372 1148 11 sake sake NN 63372 1148 12 , , , 63372 1148 13 it -PRON- PRP 63372 1148 14 is be VBZ 63372 1148 15 then then RB 63372 1148 16 not not RB 63372 1148 17 surprising surprising JJ 63372 1148 18 that that IN 63372 1148 19 the the DT 63372 1148 20 Greeks Greeks NNPS 63372 1148 21 should should MD 63372 1148 22 have have VB 63372 1148 23 set set VBN 63372 1148 24 themselves -PRON- PRP 63372 1148 25 the the DT 63372 1148 26 task task NN 63372 1148 27 of of IN 63372 1148 28 proving prove VBG 63372 1148 29 by by IN 63372 1148 30 logical logical JJ 63372 1148 31 process process NN 63372 1148 32 the the DT 63372 1148 33 properties property NNS 63372 1148 34 of of IN 63372 1148 35 space space NN 63372 1148 36 , , , 63372 1148 37 which which WDT 63372 1148 38 a a DT 63372 1148 39 less less RBR 63372 1148 40 thoughtful thoughtful JJ 63372 1148 41 folk folk NN 63372 1148 42 would would MD 63372 1148 43 have have VB 63372 1148 44 regarded regard VBN 63372 1148 45 as as IN 63372 1148 46 a a DT 63372 1148 47 subject subject NN 63372 1148 48 only only RB 63372 1148 49 for for IN 63372 1148 50 observational observational JJ 63372 1148 51 and and CC 63372 1148 52 experimental experimental JJ 63372 1148 53 determination determination NN 63372 1148 54 . . . 63372 1149 1 But but CC 63372 1149 2 , , , 63372 1149 3 abstract abstract JJ 63372 1149 4 or or CC 63372 1149 5 concrete concrete JJ 63372 1149 6 , , , 63372 1149 7 the the DT 63372 1149 8 logical logical JJ 63372 1149 9 structure structure NN 63372 1149 10 must must MD 63372 1149 11 have have VB 63372 1149 12 a a DT 63372 1149 13 starting starting NN 63372 1149 14 point point NN 63372 1149 15 ; ; : 63372 1149 16 and and CC 63372 1149 17 it -PRON- PRP 63372 1149 18 is be VBZ 63372 1149 19 fair fair JJ 63372 1149 20 to to TO 63372 1149 21 demand demand VB 63372 1149 22 that that IN 63372 1149 23 this this DT 63372 1149 24 consist consist VB 63372 1149 25 in in IN 63372 1149 26 a a DT 63372 1149 27 statement statement NN 63372 1149 28 of of IN 63372 1149 29 the the DT 63372 1149 30 terms term NNS 63372 1149 31 we -PRON- PRP 63372 1149 32 are be VBP 63372 1149 33 going go VBG 63372 1149 34 to to TO 63372 1149 35 use use VB 63372 1149 36 and and CC 63372 1149 37 the the DT 63372 1149 38 meanings meaning NNS 63372 1149 39 we -PRON- PRP 63372 1149 40 are be VBP 63372 1149 41 going go VBG 63372 1149 42 to to TO 63372 1149 43 attach attach VB 63372 1149 44 to to IN 63372 1149 45 them -PRON- PRP 63372 1149 46 . . . 63372 1150 1 In in IN 63372 1150 2 other other JJ 63372 1150 3 words word NNS 63372 1150 4 , , , 63372 1150 5 the the DT 63372 1150 6 first first JJ 63372 1150 7 thing thing NN 63372 1150 8 on on IN 63372 1150 9 the the DT 63372 1150 10 program program NN 63372 1150 11 will will MD 63372 1150 12 be be VB 63372 1150 13 a a DT 63372 1150 14 definition definition NN 63372 1150 15 , , , 63372 1150 16 or or CC 63372 1150 17 more more RBR 63372 1150 18 probably probably RB 63372 1150 19 , , , 63372 1150 20 several several JJ 63372 1150 21 definitions definition NNS 63372 1150 22 . . . 63372 1151 1 Now now RB 63372 1151 2 the the DT 63372 1151 3 modern modern JJ 63372 1151 4 scientist scientist NN 63372 1151 5 has have VBZ 63372 1151 6 a a DT 63372 1151 7 somewhat somewhat RB 63372 1151 8 iconoclastic iconoclastic JJ 63372 1151 9 viewpoint viewpoint NN 63372 1151 10 toward toward IN 63372 1151 11 definitions definition NNS 63372 1151 12 , , , 63372 1151 13 and and CC 63372 1151 14 especially especially RB 63372 1151 15 toward toward IN 63372 1151 16 the the DT 63372 1151 17 definition definition NN 63372 1151 18 of of IN 63372 1151 19 his -PRON- PRP$ 63372 1151 20 very very RB 63372 1151 21 most most JJS 63372 1151 22 fundamental fundamental JJ 63372 1151 23 ideas idea NNS 63372 1151 24 . . . 63372 1152 1 We -PRON- PRP 63372 1152 2 do do VBP 63372 1152 3 not not RB 63372 1152 4 speak speak VB 63372 1152 5 here here RB 63372 1152 6 in in IN 63372 1152 7 terms term NNS 63372 1152 8 of of IN 63372 1152 9 dictionary dictionary JJ 63372 1152 10 definitions definition NNS 63372 1152 11 . . . 63372 1153 1 These these DT 63372 1153 2 have have VBP 63372 1153 3 for for IN 63372 1153 4 object object NN 63372 1153 5 the the DT 63372 1153 6 eminent eminent JJ 63372 1153 7 necessity necessity NN 63372 1153 8 of of IN 63372 1153 9 explaining explain VBG 63372 1153 10 the the DT 63372 1153 11 meaning meaning NN 63372 1153 12 and and CC 63372 1153 13 use use NN 63372 1153 14 of of IN 63372 1153 15 a a DT 63372 1153 16 word word NN 63372 1153 17 to to IN 63372 1153 18 some some DT 63372 1153 19 one one NN 63372 1153 20 who who WP 63372 1153 21 has have VBZ 63372 1153 22 just just RB 63372 1153 23 met meet VBN 63372 1153 24 it -PRON- PRP 63372 1153 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63372 1157 11 dictionaries dictionary NNS 63372 1157 12 are be VBP 63372 1157 13 driven drive VBN 63372 1157 14 to to TO 63372 1157 15 define define VB 63372 1157 16 such such JJ 63372 1157 17 words word NNS 63372 1157 18 as as IN 63372 1157 19 " " `` 63372 1157 20 and and CC 63372 1157 21 " " `` 63372 1157 22 and and CC 63372 1157 23 " " `` 63372 1157 24 but but CC 63372 1157 25 " " '' 63372 1157 26 by by IN 63372 1157 27 using use VBG 63372 1157 28 such such JJ 63372 1157 29 complex complex JJ 63372 1157 30 notions notion NNS 63372 1157 31 as as IN 63372 1157 32 are be VBP 63372 1157 33 embodied embody VBN 63372 1157 34 in in IN 63372 1157 35 " " `` 63372 1157 36 connective connective JJ 63372 1157 37 , , , 63372 1157 38 " " '' 63372 1157 39 " " `` 63372 1157 40 continuative continuative JJ 63372 1157 41 , , , 63372 1157 42 " " '' 63372 1157 43 " " `` 63372 1157 44 adversative adversative JJ 63372 1157 45 , , , 63372 1157 46 " " '' 63372 1157 47 and and CC 63372 1157 48 " " `` 63372 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22 the the DT 63372 1172 23 body body NN 63372 1172 24 of of IN 63372 1172 25 our -PRON- PRP$ 63372 1172 26 science science NN 63372 1172 27 . . . 63372 1173 1 In in IN 63372 1173 2 the the DT 63372 1173 3 absence absence NN 63372 1173 4 of of IN 63372 1173 5 simpler simple JJR 63372 1173 6 facts fact NNS 63372 1173 7 to to TO 63372 1173 8 cite cite VB 63372 1173 9 as as IN 63372 1173 10 authority authority NN 63372 1173 11 , , , 63372 1173 12 we -PRON- PRP 63372 1173 13 shall shall MD 63372 1173 14 never never RB 63372 1173 15 be be VB 63372 1173 16 able able JJ 63372 1173 17 to to TO 63372 1173 18 prove prove VB 63372 1173 19 anything anything NN 63372 1173 20 , , , 63372 1173 21 however however RB 63372 1173 22 simple simple JJ 63372 1173 23 this this DT 63372 1173 24 may may MD 63372 1173 25 itself -PRON- PRP 63372 1173 26 be be VB 63372 1173 27 ; ; : 63372 1173 28 and and CC 63372 1173 29 in in IN 63372 1173 30 fact fact NN 63372 1173 31 the the DT 63372 1173 32 simpler simple JJR 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an an DT 63372 1181 16 adequate adequate JJ 63372 1181 17 definition definition NN 63372 1181 18 , , , 63372 1181 19 because because IN 63372 1181 20 " " `` 63372 1181 21 position position NN 63372 1181 22 " " '' 63372 1181 23 and and CC 63372 1181 24 " " `` 63372 1181 25 size size NN 63372 1181 26 " " '' 63372 1181 27 are be VBP 63372 1181 28 words word NNS 63372 1181 29 of of IN 63372 1181 30 the the DT 63372 1181 31 ordinary ordinary JJ 63372 1181 32 language language NN 63372 1181 33 with with IN 63372 1181 34 which which WDT 63372 1181 35 we -PRON- PRP 63372 1181 36 may may MD 63372 1181 37 all all RB 63372 1181 38 be be VB 63372 1181 39 assumed assume VBN 63372 1181 40 familiar familiar JJ 63372 1181 41 . . . 63372 1182 1 But but CC 63372 1182 2 today today NN 63372 1182 3 we -PRON- PRP 63372 1182 4 feel feel VBP 63372 1182 5 that that IN 63372 1182 6 " " `` 63372 1182 7 position position NN 63372 1182 8 " " '' 63372 1182 9 and and CC 63372 1182 10 " " `` 63372 1182 11 size size NN 63372 1182 12 " " '' 63372 1182 13 represent represent VBP 63372 1182 14 ideas idea NNS 63372 1182 15 that that WDT 63372 1182 16 are be VBP 63372 1182 17 not not RB 63372 1182 18 necessarily necessarily RB 63372 1182 19 more more RBR 63372 1182 20 fundamental fundamental JJ 63372 1182 21 than than IN 63372 1182 22 those those DT 63372 1182 23 of of IN 63372 1182 24 " " `` 63372 1182 25 line line NN 63372 1182 26 " " '' 63372 1182 27 and and CC 63372 1182 28 " " `` 63372 1182 29 point point NN 63372 1182 30 , , , 63372 1182 31 " " '' 63372 1182 32 and and CC 63372 1182 33 that that IN 63372 1182 34 such such PDT 63372 1182 35 a a DT 63372 1182 36 definition definition NN 63372 1182 37 begs beg VBZ 63372 1182 38 the the DT 63372 1182 39 question question NN 63372 1182 40 . . . 63372 1183 1 We -PRON- PRP 63372 1183 2 get get VBP 63372 1183 3 nowhere nowhere RB 63372 1183 4 by by IN 63372 1183 5 replacing replace VBG 63372 1183 6 the the DT 63372 1183 7 undefined undefined JJ 63372 1183 8 terms term NNS 63372 1183 9 " " `` 63372 1183 10 point point NN 63372 1183 11 " " '' 63372 1183 12 and and CC 63372 1183 13 " " `` 63372 1183 14 line line NN 63372 1183 15 " " '' 63372 1183 16 and and CC 63372 1183 17 " " `` 63372 1183 18 plane plane NN 63372 1183 19 , , , 63372 1183 20 " " '' 63372 1183 21 which which WDT 63372 1183 22 really really RB 63372 1183 23 everybody everybody NN 63372 1183 24 understands understand VBZ 63372 1183 25 , , , 63372 1183 26 by by IN 63372 1183 27 other other JJ 63372 1183 28 undefined undefined JJ 63372 1183 29 terms term NNS 63372 1183 30 which which WDT 63372 1183 31 nobody nobody NN 63372 1183 32 understands understand VBZ 63372 1183 33 any any DT 63372 1183 34 better well RBR 63372 1183 35 . . . 63372 1184 1 In in IN 63372 1184 2 handling handle VBG 63372 1184 3 the the DT 63372 1184 4 facts fact NNS 63372 1184 5 that that IN 63372 1184 6 it -PRON- PRP 63372 1184 7 was be VBD 63372 1184 8 inconvenient inconvenient JJ 63372 1184 9 to to TO 63372 1184 10 prove prove VB 63372 1184 11 , , , 63372 1184 12 the the DT 63372 1184 13 classical classical JJ 63372 1184 14 geometer geometer NN 63372 1184 15 came come VBD 63372 1184 16 closer close RBR 63372 1184 17 to to IN 63372 1184 18 modern modern JJ 63372 1184 19 practice practice NN 63372 1184 20 . . . 63372 1185 1 He -PRON- PRP 63372 1185 2 laid lay VBD 63372 1185 3 down down RP 63372 1185 4 at at IN 63372 1185 5 the the DT 63372 1185 6 beginning beginning NN 63372 1185 7 a a DT 63372 1185 8 few few JJ 63372 1185 9 statements statement NNS 63372 1185 10 which which WDT 63372 1185 11 he -PRON- PRP 63372 1185 12 called call VBD 63372 1185 13 " " `` 63372 1185 14 axioms axiom NNS 63372 1185 15 , , , 63372 1185 16 " " '' 63372 1185 17 and and CC 63372 1185 18 which which WDT 63372 1185 19 he -PRON- PRP 63372 1185 20 considered consider VBD 63372 1185 21 to to TO 63372 1185 22 be be VB 63372 1185 23 so so RB 63372 1185 24 self self NN 63372 1185 25 - - HYPH 63372 1185 26 evident evident JJ 63372 1185 27 that that DT 63372 1185 28 demonstration demonstration NN 63372 1185 29 was be VBD 63372 1185 30 superfluous superfluous JJ 63372 1185 31 . . . 63372 1186 1 That that IN 63372 1186 2 the the DT 63372 1186 3 term term NN 63372 1186 4 " " `` 63372 1186 5 self self NN 63372 1186 6 - - HYPH 63372 1186 7 evident evident JJ 63372 1186 8 " " '' 63372 1186 9 left left JJ 63372 1186 10 room room NN 63372 1186 11 for for IN 63372 1186 12 a a DT 63372 1186 13 vast vast JJ 63372 1186 14 amount amount NN 63372 1186 15 of of IN 63372 1186 16 ambiguity ambiguity NN 63372 1186 17 appears appear VBZ 63372 1186 18 to to TO 63372 1186 19 have have VB 63372 1186 20 escaped escape VBN 63372 1186 21 him -PRON- PRP 63372 1186 22 altogether altogether RB 63372 1186 23 . . . 63372 1187 1 His -PRON- PRP$ 63372 1187 2 axioms axiom NNS 63372 1187 3 were be VBD 63372 1187 4 axioms axiom NNS 63372 1187 5 solely solely RB 63372 1187 6 because because IN 63372 1187 7 they -PRON- PRP 63372 1187 8 were be VBD 63372 1187 9 obviously obviously RB 63372 1187 10 true true JJ 63372 1187 11 . . . 63372 1188 1 LAYING lay VBG 63372 1188 2 THE the DT 63372 1188 3 FOUNDATION foundation NN 63372 1188 4 The the DT 63372 1188 5 modern modern JJ 63372 1188 6 geometer geometer NN 63372 1188 7 falls fall VBZ 63372 1188 8 in in RB 63372 1188 9 with with IN 63372 1188 10 Euclid Euclid NNP 63372 1188 11 when when WRB 63372 1188 12 he -PRON- PRP 63372 1188 13 writes write VBZ 63372 1188 14 an an DT 63372 1188 15 elementary elementary JJ 63372 1188 16 text text NN 63372 1188 17 , , , 63372 1188 18 satisfying satisfy VBG 63372 1188 19 the the DT 63372 1188 20 beginner beginner NN 63372 1188 21 's 's POS 63372 1188 22 demand demand NN 63372 1188 23 for for IN 63372 1188 24 apparent apparent JJ 63372 1188 25 rigor rigor NN 63372 1188 26 by by IN 63372 1188 27 defining define VBG 63372 1188 28 point point NN 63372 1188 29 and and CC 63372 1188 30 line line NN 63372 1188 31 in in IN 63372 1188 32 some some DT 63372 1188 33 fashion fashion NN 63372 1188 34 . . . 63372 1189 1 But but CC 63372 1189 2 when when WRB 63372 1189 3 he -PRON- PRP 63372 1189 4 addresses address VBZ 63372 1189 5 to to IN 63372 1189 6 his -PRON- PRP$ 63372 1189 7 peers peer NNS 63372 1189 8 an an DT 63372 1189 9 effort effort NN 63372 1189 10 to to TO 63372 1189 11 clarify clarify VB 63372 1189 12 the the DT 63372 1189 13 foundations foundation NNS 63372 1189 14 of of IN 63372 1189 15 geometry geometry NN 63372 1189 16 to to IN 63372 1189 17 a a DT 63372 1189 18 further further JJ 63372 1189 19 degree degree NN 63372 1189 20 of of IN 63372 1189 21 rigor rigor NN 63372 1189 22 and and CC 63372 1189 23 lucidity lucidity NN 63372 1189 24 than than IN 63372 1189 25 has have VBZ 63372 1189 26 ever ever RB 63372 1189 27 before before RB 63372 1189 28 been be VBN 63372 1189 29 attained attain VBN 63372 1189 30 , , , 63372 1189 31 he -PRON- PRP 63372 1189 32 meets meet VBZ 63372 1189 33 these these DT 63372 1189 34 difficulties difficulty NNS 63372 1189 35 from from IN 63372 1189 36 another another DT 63372 1189 37 quarter quarter NN 63372 1189 38 . . . 63372 1190 1 In in IN 63372 1190 2 the the DT 63372 1190 3 first first JJ 63372 1190 4 place place NN 63372 1190 5 he -PRON- PRP 63372 1190 6 is be VBZ 63372 1190 7 always always RB 63372 1190 8 in in IN 63372 1190 9 search search NN 63372 1190 10 of of IN 63372 1190 11 the the DT 63372 1190 12 utmost utmost JJ 63372 1190 13 possible possible JJ 63372 1190 14 generality generality NN 63372 1190 15 , , , 63372 1190 16 for for IN 63372 1190 17 he -PRON- PRP 63372 1190 18 has have VBZ 63372 1190 19 found find VBN 63372 1190 20 this this DT 63372 1190 21 to to TO 63372 1190 22 be be VB 63372 1190 23 his -PRON- PRP$ 63372 1190 24 most most RBS 63372 1190 25 effective effective JJ 63372 1190 26 tool tool NN 63372 1190 27 , , , 63372 1190 28 enabling enable VBG 63372 1190 29 him -PRON- PRP 63372 1190 30 as as IN 63372 1190 31 it -PRON- PRP 63372 1190 32 does do VBZ 63372 1190 33 to to TO 63372 1190 34 make make VB 63372 1190 35 a a DT 63372 1190 36 single single JJ 63372 1190 37 general general JJ 63372 1190 38 statement statement NN 63372 1190 39 take take VB 63372 1190 40 the the DT 63372 1190 41 place place NN 63372 1190 42 and and CC 63372 1190 43 do do VB 63372 1190 44 the the DT 63372 1190 45 work work NN 63372 1190 46 of of IN 63372 1190 47 many many JJ 63372 1190 48 particular particular JJ 63372 1190 49 statements statement NNS 63372 1190 50 . . . 63372 1191 1 The the DT 63372 1191 2 classical classical JJ 63372 1191 3 geometer geometer NN 63372 1191 4 attained attain VBD 63372 1191 5 generality generality NN 63372 1191 6 of of IN 63372 1191 7 a a DT 63372 1191 8 sort sort NN 63372 1191 9 , , , 63372 1191 10 for for IN 63372 1191 11 all all PDT 63372 1191 12 his -PRON- PRP$ 63372 1191 13 statements statement NNS 63372 1191 14 were be VBD 63372 1191 15 of of IN 63372 1191 16 any any DT 63372 1191 17 point point NN 63372 1191 18 or or CC 63372 1191 19 line line NN 63372 1191 20 or or CC 63372 1191 21 plane plane NN 63372 1191 22 . . . 63372 1192 1 But but CC 63372 1192 2 the the DT 63372 1192 3 modern modern JJ 63372 1192 4 geometer geometer NN 63372 1192 5 , , , 63372 1192 6 confronted confront VBN 63372 1192 7 with with IN 63372 1192 8 a a DT 63372 1192 9 relation relation NN 63372 1192 10 that that WDT 63372 1192 11 holds hold VBZ 63372 1192 12 among among IN 63372 1192 13 points point NNS 63372 1192 14 or or CC 63372 1192 15 between between IN 63372 1192 16 points point NNS 63372 1192 17 and and CC 63372 1192 18 lines line NNS 63372 1192 19 , , , 63372 1192 20 at at IN 63372 1192 21 once once RB 63372 1192 22 goes go VBZ 63372 1192 23 to to IN 63372 1192 24 speculating speculate VBG 63372 1192 25 whether whether IN 63372 1192 26 there there EX 63372 1192 27 are be VBP 63372 1192 28 not not RB 63372 1192 29 other other JJ 63372 1192 30 elements element NNS 63372 1192 31 among among IN 63372 1192 32 or or CC 63372 1192 33 between between IN 63372 1192 34 which which WDT 63372 1192 35 it -PRON- PRP 63372 1192 36 holds hold VBZ 63372 1192 37 . . . 63372 1193 1 The the DT 63372 1193 2 classical classical JJ 63372 1193 3 geometer geometer NN 63372 1193 4 is be VBZ 63372 1193 5 n't not RB 63372 1193 6 interested interested JJ 63372 1193 7 in in IN 63372 1193 8 this this DT 63372 1193 9 question question NN 63372 1193 10 at at RB 63372 1193 11 all all RB 63372 1193 12 , , , 63372 1193 13 because because IN 63372 1193 14 he -PRON- PRP 63372 1193 15 is be VBZ 63372 1193 16 seeking seek VBG 63372 1193 17 the the DT 63372 1193 18 absolute absolute JJ 63372 1193 19 truth truth NN 63372 1193 20 about about IN 63372 1193 21 the the DT 63372 1193 22 points point NNS 63372 1193 23 and and CC 63372 1193 24 lines line NNS 63372 1193 25 and and CC 63372 1193 26 planes plane NNS 63372 1193 27 which which WDT 63372 1193 28 he -PRON- PRP 63372 1193 29 sees see VBZ 63372 1193 30 as as IN 63372 1193 31 the the DT 63372 1193 32 elements element NNS 63372 1193 33 of of IN 63372 1193 34 space space NN 63372 1193 35 ; ; : 63372 1193 36 to to IN 63372 1193 37 him -PRON- PRP 63372 1193 38 it -PRON- PRP 63372 1193 39 is be VBZ 63372 1193 40 actually actually RB 63372 1193 41 an an DT 63372 1193 42 object object NN 63372 1193 43 so so IN 63372 1193 44 to to TO 63372 1193 45 circumscribe circumscribe VB 63372 1193 46 his -PRON- PRP$ 63372 1193 47 statements statement NNS 63372 1193 48 that that IN 63372 1193 49 they -PRON- PRP 63372 1193 50 may may MD 63372 1193 51 by by IN 63372 1193 52 no no DT 63372 1193 53 possibility possibility NN 63372 1193 54 refer refer NN 63372 1193 55 to to IN 63372 1193 56 anything anything NN 63372 1193 57 other other JJ 63372 1193 58 than than IN 63372 1193 59 these these DT 63372 1193 60 elements element NNS 63372 1193 61 . . . 63372 1194 1 Whereas whereas IN 63372 1194 2 the the DT 63372 1194 3 modern modern JJ 63372 1194 4 geometer geometer NN 63372 1194 5 feels feel VBZ 63372 1194 6 that that IN 63372 1194 7 his -PRON- PRP$ 63372 1194 8 primary primary JJ 63372 1194 9 concern concern NN 63372 1194 10 is be VBZ 63372 1194 11 with with IN 63372 1194 12 the the DT 63372 1194 13 fabric fabric NN 63372 1194 14 of of IN 63372 1194 15 logical logical JJ 63372 1194 16 propositions proposition NNS 63372 1194 17 that that WDT 63372 1194 18 he -PRON- PRP 63372 1194 19 is be VBZ 63372 1194 20 building build VBG 63372 1194 21 up up RP 63372 1194 22 , , , 63372 1194 23 and and CC 63372 1194 24 not not RB 63372 1194 25 at at RB 63372 1194 26 all all RB 63372 1194 27 with with IN 63372 1194 28 the the DT 63372 1194 29 elements element NNS 63372 1194 30 about about IN 63372 1194 31 which which WDT 63372 1194 32 those those DT 63372 1194 33 propositions proposition NNS 63372 1194 34 revolve revolve VBP 63372 1194 35 . . . 63372 1195 1 It -PRON- PRP 63372 1195 2 is be VBZ 63372 1195 3 of of IN 63372 1195 4 obvious obvious JJ 63372 1195 5 value value NN 63372 1195 6 if if IN 63372 1195 7 the the DT 63372 1195 8 mathematician mathematician NN 63372 1195 9 can can MD 63372 1195 10 lay lay VB 63372 1195 11 down down RP 63372 1195 12 a a DT 63372 1195 13 proposition proposition NN 63372 1195 14 true true JJ 63372 1195 15 of of IN 63372 1195 16 points point NNS 63372 1195 17 , , , 63372 1195 18 lines line NNS 63372 1195 19 and and CC 63372 1195 20 planes plane NNS 63372 1195 21 . . . 63372 1196 1 But but CC 63372 1196 2 he -PRON- PRP 63372 1196 3 would would MD 63372 1196 4 much much RB 63372 1196 5 rather rather RB 63372 1196 6 lay lay VB 63372 1196 7 down down RP 63372 1196 8 a a DT 63372 1196 9 proposition proposition NN 63372 1196 10 true true JJ 63372 1196 11 at at IN 63372 1196 12 once once RB 63372 1196 13 of of IN 63372 1196 14 these these DT 63372 1196 15 and and CC 63372 1196 16 of of IN 63372 1196 17 numerous numerous JJ 63372 1196 18 other other JJ 63372 1196 19 things thing NNS 63372 1196 20 ; ; : 63372 1196 21 for for IN 63372 1196 22 such such PDT 63372 1196 23 a a DT 63372 1196 24 proposition proposition NN 63372 1196 25 will will MD 63372 1196 26 group group VB 63372 1196 27 more more JJR 63372 1196 28 phenomena phenomenon NNS 63372 1196 29 under under IN 63372 1196 30 a a DT 63372 1196 31 single single JJ 63372 1196 32 principle principle NN 63372 1196 33 . . . 63372 1197 1 He -PRON- PRP 63372 1197 2 feels feel VBZ 63372 1197 3 that that IN 63372 1197 4 on on IN 63372 1197 5 pure pure JJ 63372 1197 6 scientific scientific JJ 63372 1197 7 grounds ground NNS 63372 1197 8 there there EX 63372 1197 9 is be VBZ 63372 1197 10 quite quite RB 63372 1197 11 as as RB 63372 1197 12 much much JJ 63372 1197 13 interest interest NN 63372 1197 14 in in IN 63372 1197 15 any any DT 63372 1197 16 one one CD 63372 1197 17 set set NN 63372 1197 18 of of IN 63372 1197 19 elements element NNS 63372 1197 20 to to TO 63372 1197 21 which which WDT 63372 1197 22 his -PRON- PRP$ 63372 1197 23 proposition proposition NN 63372 1197 24 applies apply VBZ 63372 1197 25 as as IN 63372 1197 26 there there EX 63372 1197 27 is be VBZ 63372 1197 28 in in IN 63372 1197 29 any any DT 63372 1197 30 other other JJ 63372 1197 31 ; ; : 63372 1197 32 that that IN 63372 1197 33 if if IN 63372 1197 34 any any DT 63372 1197 35 person person NN 63372 1197 36 is be VBZ 63372 1197 37 to to TO 63372 1197 38 confine confine VB 63372 1197 39 his -PRON- PRP$ 63372 1197 40 attention attention NN 63372 1197 41 to to IN 63372 1197 42 the the DT 63372 1197 43 set set NN 63372 1197 44 that that WDT 63372 1197 45 stands stand VBZ 63372 1197 46 for for IN 63372 1197 47 the the DT 63372 1197 48 physicist physicist NN 63372 1197 49 's 's POS 63372 1197 50 space space NN 63372 1197 51 , , , 63372 1197 52 that that DT 63372 1197 53 person person NN 63372 1197 54 ought ought MD 63372 1197 55 to to TO 63372 1197 56 be be VB 63372 1197 57 the the DT 63372 1197 58 physicist physicist NN 63372 1197 59 , , , 63372 1197 60 not not RB 63372 1197 61 the the DT 63372 1197 62 geometer geometer NN 63372 1197 63 . . . 63372 1198 1 If if IN 63372 1198 2 he -PRON- PRP 63372 1198 3 has have VBZ 63372 1198 4 produced produce VBN 63372 1198 5 a a DT 63372 1198 6 tool tool NN 63372 1198 7 which which WDT 63372 1198 8 the the DT 63372 1198 9 physicist physicist NN 63372 1198 10 can can MD 63372 1198 11 use use VB 63372 1198 12 , , , 63372 1198 13 the the DT 63372 1198 14 physicist physicist NN 63372 1198 15 is be VBZ 63372 1198 16 welcome welcome JJ 63372 1198 17 to to TO 63372 1198 18 use use VB 63372 1198 19 it -PRON- PRP 63372 1198 20 ; ; : 63372 1198 21 but but CC 63372 1198 22 the the DT 63372 1198 23 geometer geometer NN 63372 1198 24 can can MD 63372 1198 25 not not RB 63372 1198 26 understand understand VB 63372 1198 27 why why WRB 63372 1198 28 , , , 63372 1198 29 on on IN 63372 1198 30 that that DT 63372 1198 31 ground ground NN 63372 1198 32 , , , 63372 1198 33 he -PRON- PRP 63372 1198 34 should should MD 63372 1198 35 be be VB 63372 1198 36 asked ask VBN 63372 1198 37 to to TO 63372 1198 38 confine confine VB 63372 1198 39 his -PRON- PRP$ 63372 1198 40 attention attention NN 63372 1198 41 to to IN 63372 1198 42 the the DT 63372 1198 43 materials material NNS 63372 1198 44 on on IN 63372 1198 45 which which WDT 63372 1198 46 the the DT 63372 1198 47 physicist physicist NN 63372 1198 48 employs employ VBZ 63372 1198 49 that that DT 63372 1198 50 tool tool NN 63372 1198 51 . . . 63372 1199 1 It -PRON- PRP 63372 1199 2 will will MD 63372 1199 3 be be VB 63372 1199 4 alleged allege VBN 63372 1199 5 that that IN 63372 1199 6 points point NNS 63372 1199 7 and and CC 63372 1199 8 lines line NNS 63372 1199 9 and and CC 63372 1199 10 planes plane NNS 63372 1199 11 lie lie VBP 63372 1199 12 in in IN 63372 1199 13 the the DT 63372 1199 14 mathematician mathematician NN 63372 1199 15 's 's POS 63372 1199 16 domain domain NN 63372 1199 17 , , , 63372 1199 18 and and CC 63372 1199 19 that that IN 63372 1199 20 the the DT 63372 1199 21 other other JJ 63372 1199 22 things thing NNS 63372 1199 23 to to TO 63372 1199 24 which which WDT 63372 1199 25 his -PRON- PRP$ 63372 1199 26 propositions proposition NNS 63372 1199 27 may may MD 63372 1199 28 apply apply VB 63372 1199 29 may may MD 63372 1199 30 not not RB 63372 1199 31 so so RB 63372 1199 32 lie lie VB 63372 1199 33 -- -- : 63372 1199 34 and and CC 63372 1199 35 especially especially RB 63372 1199 36 that that IN 63372 1199 37 if if IN 63372 1199 38 he -PRON- PRP 63372 1199 39 will will MD 63372 1199 40 not not RB 63372 1199 41 name name VB 63372 1199 42 them -PRON- PRP 63372 1199 43 in in IN 63372 1199 44 advance advance NN 63372 1199 45 he -PRON- PRP 63372 1199 46 can can MD 63372 1199 47 not not RB 63372 1199 48 expect expect VB 63372 1199 49 that that IN 63372 1199 50 they -PRON- PRP 63372 1199 51 will will MD 63372 1199 52 so so RB 63372 1199 53 lie lie VB 63372 1199 54 . . . 63372 1200 1 But but CC 63372 1200 2 the the DT 63372 1200 3 mathematician mathematician NN 63372 1200 4 will will MD 63372 1200 5 not not RB 63372 1200 6 admit admit VB 63372 1200 7 this this DT 63372 1200 8 . . . 63372 1201 1 If if IN 63372 1201 2 mathematics mathematic NNS 63372 1201 3 is be VBZ 63372 1201 4 defined define VBN 63372 1201 5 on on IN 63372 1201 6 narrow narrow JJ 63372 1201 7 grounds ground NNS 63372 1201 8 as as IN 63372 1201 9 the the DT 63372 1201 10 science science NN 63372 1201 11 of of IN 63372 1201 12 number number NN 63372 1201 13 , , , 63372 1201 14 even even RB 63372 1201 15 the the DT 63372 1201 16 point point NN 63372 1201 17 and and CC 63372 1201 18 line line NN 63372 1201 19 and and CC 63372 1201 20 plane plane NN 63372 1201 21 may may MD 63372 1201 22 be be VB 63372 1201 23 excluded exclude VBN 63372 1201 24 from from IN 63372 1201 25 its -PRON- PRP$ 63372 1201 26 field field NN 63372 1201 27 . . . 63372 1202 1 If if IN 63372 1202 2 any any DT 63372 1202 3 wider wide JJR 63372 1202 4 definition definition NN 63372 1202 5 be be VB 63372 1202 6 sought seek VBN 63372 1202 7 -- -- : 63372 1202 8 and and CC 63372 1202 9 of of IN 63372 1202 10 course course NN 63372 1202 11 one one PRP 63372 1202 12 must must MD 63372 1202 13 be be VB 63372 1202 14 -- -- : 63372 1202 15 there there EX 63372 1202 16 is be VBZ 63372 1202 17 just just RB 63372 1202 18 one one CD 63372 1202 19 definition definition NN 63372 1202 20 that that IN 63372 1202 21 the the DT 63372 1202 22 mathematician mathematician NN 63372 1202 23 will will MD 63372 1202 24 accept accept VB 63372 1202 25 : : : 63372 1202 26 Dr. Dr. NNP 63372 1202 27 Keyser Keyser NNP 63372 1202 28 's 's POS 63372 1202 29 statement statement NN 63372 1202 30 that that IN 63372 1202 31 " " `` 63372 1202 32 mathematics mathematic NNS 63372 1202 33 is be VBZ 63372 1202 34 the the DT 63372 1202 35 art art NN 63372 1202 36 or or CC 63372 1202 37 science science NN 63372 1202 38 of of IN 63372 1202 39 rigorous rigorous JJ 63372 1202 40 thinking thinking NN 63372 1202 41 . . . 63372 1202 42 " " '' 63372 1203 1 The the DT 63372 1203 2 immediate immediate JJ 63372 1203 3 concern concern NN 63372 1203 4 of of IN 63372 1203 5 this this DT 63372 1203 6 science science NN 63372 1203 7 is be VBZ 63372 1203 8 the the DT 63372 1203 9 means mean NNS 63372 1203 10 of of IN 63372 1203 11 rigorous rigorous JJ 63372 1203 12 thinking thinking NN 63372 1203 13 -- -- : 63372 1203 14 undefined undefined JJ 63372 1203 15 terms term NNS 63372 1203 16 and and CC 63372 1203 17 definitions definition NNS 63372 1203 18 , , , 63372 1203 19 axioms axiom NNS 63372 1203 20 and and CC 63372 1203 21 propositions proposition NNS 63372 1203 22 . . . 63372 1204 1 Its -PRON- PRP$ 63372 1204 2 collateral collateral JJ 63372 1204 3 concern concern NN 63372 1204 4 is be VBZ 63372 1204 5 the the DT 63372 1204 6 things thing NNS 63372 1204 7 to to TO 63372 1204 8 which which WDT 63372 1204 9 these these DT 63372 1204 10 may may MD 63372 1204 11 apply apply VB 63372 1204 12 , , , 63372 1204 13 the the DT 63372 1204 14 things thing NNS 63372 1204 15 which which WDT 63372 1204 16 may may MD 63372 1204 17 be be VB 63372 1204 18 thought think VBN 63372 1204 19 about about IN 63372 1204 20 rigorously rigorously RB 63372 1204 21 -- -- : 63372 1204 22 everything everything NN 63372 1204 23 . . . 63372 1205 1 But but CC 63372 1205 2 now now RB 63372 1205 3 the the DT 63372 1205 4 mathematician mathematician NN 63372 1205 5 's 's POS 63372 1205 6 domain domain NN 63372 1205 7 is be VBZ 63372 1205 8 so so RB 63372 1205 9 vastly vastly RB 63372 1205 10 extended extend VBN 63372 1205 11 that that IN 63372 1205 12 it -PRON- PRP 63372 1205 13 becomes become VBZ 63372 1205 14 more more JJR 63372 1205 15 than than IN 63372 1205 16 ever ever RB 63372 1205 17 important important JJ 63372 1205 18 for for IN 63372 1205 19 him -PRON- PRP 63372 1205 20 to to TO 63372 1205 21 attain attain VB 63372 1205 22 the the DT 63372 1205 23 utmost utmost JJ 63372 1205 24 generality generality NN 63372 1205 25 in in IN 63372 1205 26 all all DT 63372 1205 27 his -PRON- PRP$ 63372 1205 28 pronouncements pronouncement NNS 63372 1205 29 . . . 63372 1206 1 One one CD 63372 1206 2 barrier barrier NN 63372 1206 3 to to IN 63372 1206 4 such such JJ 63372 1206 5 generalization generalization NN 63372 1206 6 is be VBZ 63372 1206 7 the the DT 63372 1206 8 very very JJ 63372 1206 9 name name NN 63372 1206 10 " " `` 63372 1206 11 geometry geometry NN 63372 1206 12 , , , 63372 1206 13 " " '' 63372 1206 14 with with IN 63372 1206 15 the the DT 63372 1206 16 restricted restricted JJ 63372 1206 17 significance significance NN 63372 1206 18 which which WDT 63372 1206 19 its -PRON- PRP$ 63372 1206 20 derivation derivation NN 63372 1206 21 and and CC 63372 1206 22 long long JJ 63372 1206 23 usage usage NN 63372 1206 24 carry carry VBP 63372 1206 25 . . . 63372 1207 1 The the DT 63372 1207 2 geometer geometer NN 63372 1207 3 therefore therefore RB 63372 1207 4 must must MD 63372 1207 5 have have VB 63372 1207 6 it -PRON- PRP 63372 1207 7 distinctly distinctly RB 63372 1207 8 understood understand VBN 63372 1207 9 that that IN 63372 1207 10 for for IN 63372 1207 11 him -PRON- PRP 63372 1207 12 " " `` 63372 1207 13 geometry geometry NN 63372 1207 14 " " '' 63372 1207 15 means mean VBZ 63372 1207 16 simply simply RB 63372 1207 17 the the DT 63372 1207 18 process process NN 63372 1207 19 of of IN 63372 1207 20 deducing deduce VBG 63372 1207 21 a a DT 63372 1207 22 set set NN 63372 1207 23 of of IN 63372 1207 24 propositions proposition NNS 63372 1207 25 from from IN 63372 1207 26 a a DT 63372 1207 27 set set NN 63372 1207 28 of of IN 63372 1207 29 undefined undefined JJ 63372 1207 30 primitive primitive JJ 63372 1207 31 terms term NNS 63372 1207 32 and and CC 63372 1207 33 axioms axiom NNS 63372 1207 34 ; ; : 63372 1207 35 and and CC 63372 1207 36 that that IN 63372 1207 37 when when WRB 63372 1207 38 he -PRON- PRP 63372 1207 39 speaks speak VBZ 63372 1207 40 of of IN 63372 1207 41 " " `` 63372 1207 42 a a DT 63372 1207 43 geometry geometry NN 63372 1207 44 " " '' 63372 1207 45 he -PRON- PRP 63372 1207 46 means mean VBZ 63372 1207 47 some some DT 63372 1207 48 particular particular JJ 63372 1207 49 set set NN 63372 1207 50 of of IN 63372 1207 51 propositions proposition NNS 63372 1207 52 so so RB 63372 1207 53 deduced deduce VBN 63372 1207 54 , , , 63372 1207 55 together together RB 63372 1207 56 with with IN 63372 1207 57 the the DT 63372 1207 58 axioms axiom NNS 63372 1207 59 , , , 63372 1207 60 etc etc FW 63372 1207 61 . . FW 63372 1207 62 , , , 63372 1207 63 on on IN 63372 1207 64 which which WDT 63372 1207 65 they -PRON- PRP 63372 1207 66 are be VBP 63372 1207 67 based base VBN 63372 1207 68 . . . 63372 1208 1 If if IN 63372 1208 2 you -PRON- PRP 63372 1208 3 take take VBP 63372 1208 4 a a DT 63372 1208 5 new new JJ 63372 1208 6 set set NN 63372 1208 7 of of IN 63372 1208 8 axioms axiom NNS 63372 1208 9 you -PRON- PRP 63372 1208 10 get get VBP 63372 1208 11 a a DT 63372 1208 12 new new JJ 63372 1208 13 geometry geometry NN 63372 1208 14 . . . 63372 1209 1 The the DT 63372 1209 2 geometer geometer NN 63372 1209 3 will will MD 63372 1209 4 , , , 63372 1209 5 if if IN 63372 1209 6 you -PRON- PRP 63372 1209 7 insist insist VBP 63372 1209 8 , , , 63372 1209 9 go go VB 63372 1209 10 on on RP 63372 1209 11 calling call VBG 63372 1209 12 his -PRON- PRP$ 63372 1209 13 undefined undefined JJ 63372 1209 14 terms term NNS 63372 1209 15 by by IN 63372 1209 16 the the DT 63372 1209 17 familiar familiar JJ 63372 1209 18 names name NNS 63372 1209 19 " " '' 63372 1209 20 point point NN 63372 1209 21 , , , 63372 1209 22 " " '' 63372 1209 23 " " `` 63372 1209 24 line line NN 63372 1209 25 , , , 63372 1209 26 " " '' 63372 1209 27 " " `` 63372 1209 28 plane plane NN 63372 1209 29 . . . 63372 1209 30 " " '' 63372 1210 1 But but CC 63372 1210 2 you -PRON- PRP 63372 1210 3 must must MD 63372 1210 4 distinctly distinctly RB 63372 1210 5 understand understand VB 63372 1210 6 that that IN 63372 1210 7 this this DT 63372 1210 8 is be VBZ 63372 1210 9 a a DT 63372 1210 10 concession concession NN 63372 1210 11 to to TO 63372 1210 12 usage usage VB 63372 1210 13 , , , 63372 1210 14 and and CC 63372 1210 15 that that IN 63372 1210 16 you -PRON- PRP 63372 1210 17 are be VBP 63372 1210 18 not not RB 63372 1210 19 for for IN 63372 1210 20 a a DT 63372 1210 21 moment moment NN 63372 1210 22 to to TO 63372 1210 23 restrict restrict VB 63372 1210 24 the the DT 63372 1210 25 application application NN 63372 1210 26 of of IN 63372 1210 27 his -PRON- PRP$ 63372 1210 28 statements statement NNS 63372 1210 29 in in IN 63372 1210 30 any any DT 63372 1210 31 way way NN 63372 1210 32 . . . 63372 1211 1 He -PRON- PRP 63372 1211 2 would would MD 63372 1211 3 much much RB 63372 1211 4 prefer prefer VB 63372 1211 5 , , , 63372 1211 6 however however RB 63372 1211 7 , , , 63372 1211 8 to to TO 63372 1211 9 be be VB 63372 1211 10 allowed allow VBN 63372 1211 11 new new JJ 63372 1211 12 names name NNS 63372 1211 13 for for IN 63372 1211 14 his -PRON- PRP$ 63372 1211 15 elements element NNS 63372 1211 16 , , , 63372 1211 17 to to TO 63372 1211 18 say say VB 63372 1211 19 " " `` 63372 1211 20 We -PRON- PRP 63372 1211 21 start start VBP 63372 1211 22 with with IN 63372 1211 23 three three CD 63372 1211 24 elements element NNS 63372 1211 25 of of IN 63372 1211 26 different different JJ 63372 1211 27 sorts sort NNS 63372 1211 28 , , , 63372 1211 29 which which WDT 63372 1211 30 we -PRON- PRP 63372 1211 31 assume assume VBP 63372 1211 32 to to TO 63372 1211 33 exist exist VB 63372 1211 34 , , , 63372 1211 35 and and CC 63372 1211 36 to to TO 63372 1211 37 which which WDT 63372 1211 38 we -PRON- PRP 63372 1211 39 attach attach VBP 63372 1211 40 the the DT 63372 1211 41 names name NNS 63372 1211 42 A a NN 63372 1211 43 , , , 63372 1211 44 B b NN 63372 1211 45 and and CC 63372 1211 46 C C NNP 63372 1211 47 -- -- : 63372 1211 48 or or CC 63372 1211 49 if if IN 63372 1211 50 you -PRON- PRP 63372 1211 51 prefer prefer VBP 63372 1211 52 , , , 63372 1211 53 primary primary JJ 63372 1211 54 , , , 63372 1211 55 secondary secondary JJ 63372 1211 56 and and CC 63372 1211 57 tertiary tertiary JJ 63372 1211 58 elements element NNS 63372 1211 59 -- -- : 63372 1211 60 or or CC 63372 1211 61 yet yet RB 63372 1211 62 again again RB 63372 1211 63 , , , 63372 1211 64 names name NNS 63372 1211 65 possessing possess VBG 63372 1211 66 no no DT 63372 1211 67 intrinsic intrinsic JJ 63372 1211 68 significance significance NN 63372 1211 69 at at RB 63372 1211 70 all all RB 63372 1211 71 , , , 63372 1211 72 such such JJ 63372 1211 73 as as IN 63372 1211 74 ching ching NNP 63372 1211 75 , , , 63372 1211 76 chang chang NNP 63372 1211 77 and and CC 63372 1211 78 chung chung NNP 63372 1211 79 . . . 63372 1211 80 " " '' 63372 1212 1 He -PRON- PRP 63372 1212 2 will will MD 63372 1212 3 then then RB 63372 1212 4 lay lay VB 63372 1212 5 down down RP 63372 1212 6 whatever whatever WDT 63372 1212 7 statements statement NNS 63372 1212 8 he -PRON- PRP 63372 1212 9 requires require VBZ 63372 1212 10 to to TO 63372 1212 11 serve serve VB 63372 1212 12 the the DT 63372 1212 13 purposes purpose NNS 63372 1212 14 of of IN 63372 1212 15 the the DT 63372 1212 16 ancient ancient JJ 63372 1212 17 axioms axiom NNS 63372 1212 18 , , , 63372 1212 19 all all DT 63372 1212 20 of of IN 63372 1212 21 these these DT 63372 1212 22 referring refer VBG 63372 1212 23 to to IN 63372 1212 24 some some DT 63372 1212 25 one one NN 63372 1212 26 or or CC 63372 1212 27 more more JJR 63372 1212 28 of of IN 63372 1212 29 his -PRON- PRP$ 63372 1212 30 elements element NNS 63372 1212 31 . . . 63372 1213 1 Then then RB 63372 1213 2 he -PRON- PRP 63372 1213 3 is be VBZ 63372 1213 4 ready ready JJ 63372 1213 5 for for IN 63372 1213 6 the the DT 63372 1213 7 serious serious JJ 63372 1213 8 business business NN 63372 1213 9 of of IN 63372 1213 10 proving prove VBG 63372 1213 11 that that IN 63372 1213 12 , , , 63372 1213 13 all all PDT 63372 1213 14 his -PRON- PRP$ 63372 1213 15 hypotheses hypothesis NNS 63372 1213 16 being be VBG 63372 1213 17 granted grant VBN 63372 1213 18 , , , 63372 1213 19 his -PRON- PRP$ 63372 1213 20 elements element NNS 63372 1213 21 A a NN 63372 1213 22 , , , 63372 1213 23 B b NN 63372 1213 24 and and CC 63372 1213 25 C C NNP 63372 1213 26 , , , 63372 1213 27 or or CC 63372 1213 28 I -PRON- PRP 63372 1213 29 , , , 63372 1213 30 II II NNP 63372 1213 31 and and CC 63372 1213 32 III III NNP 63372 1213 33 , , , 63372 1213 34 or or CC 63372 1213 35 ching ching NNP 63372 1213 36 , , , 63372 1213 37 chang chang NNP 63372 1213 38 and and CC 63372 1213 39 chung chung NNP 63372 1213 40 , , , 63372 1213 41 are be VBP 63372 1213 42 subject subject JJ 63372 1213 43 to to IN 63372 1213 44 this this DT 63372 1213 45 and and CC 63372 1213 46 that that DT 63372 1213 47 and and CC 63372 1213 48 the the DT 63372 1213 49 other other JJ 63372 1213 50 propositions proposition NNS 63372 1213 51 . . . 63372 1214 1 The the DT 63372 1214 2 objection objection NN 63372 1214 3 will will MD 63372 1214 4 be be VB 63372 1214 5 urged urge VBN 63372 1214 6 that that IN 63372 1214 7 the the DT 63372 1214 8 mathematician mathematician NN 63372 1214 9 who who WP 63372 1214 10 does do VBZ 63372 1214 11 all all PDT 63372 1214 12 this this DT 63372 1214 13 usurps usurps VB 63372 1214 14 the the DT 63372 1214 15 place place NN 63372 1214 16 of of IN 63372 1214 17 the the DT 63372 1214 18 logician logician NNP 63372 1214 19 . . . 63372 1215 1 A a DT 63372 1215 2 little little JJ 63372 1215 3 reflection reflection NN 63372 1215 4 will will MD 63372 1215 5 show show VB 63372 1215 6 this this DT 63372 1215 7 not not RB 63372 1215 8 to to TO 63372 1215 9 be be VB 63372 1215 10 the the DT 63372 1215 11 case case NN 63372 1215 12 . . . 63372 1216 1 The the DT 63372 1216 2 logician logician NN 63372 1216 3 in in IN 63372 1216 4 fact fact NN 63372 1216 5 occupies occupy VBZ 63372 1216 6 the the DT 63372 1216 7 same same JJ 63372 1216 8 position position NN 63372 1216 9 with with IN 63372 1216 10 reference reference NN 63372 1216 11 to to IN 63372 1216 12 the the DT 63372 1216 13 geometer geometer NN 63372 1216 14 that that IN 63372 1216 15 the the DT 63372 1216 16 geometer geometer NN 63372 1216 17 occupies occupy VBZ 63372 1216 18 with with IN 63372 1216 19 reference reference NN 63372 1216 20 to to IN 63372 1216 21 the the DT 63372 1216 22 physicist physicist NN 63372 1216 23 , , , 63372 1216 24 the the DT 63372 1216 25 chemist chemist NN 63372 1216 26 , , , 63372 1216 27 the the DT 63372 1216 28 arithmetician arithmetician NN 63372 1216 29 , , , 63372 1216 30 the the DT 63372 1216 31 engineer engineer NN 63372 1216 32 , , , 63372 1216 33 or or CC 63372 1216 34 anybody anybody NN 63372 1216 35 else else RB 63372 1216 36 whose whose WP$ 63372 1216 37 primary primary JJ 63372 1216 38 interest interest NN 63372 1216 39 lies lie VBZ 63372 1216 40 with with IN 63372 1216 41 some some DT 63372 1216 42 particular particular JJ 63372 1216 43 set set NN 63372 1216 44 of of IN 63372 1216 45 elements element NNS 63372 1216 46 to to TO 63372 1216 47 which which WDT 63372 1216 48 the the DT 63372 1216 49 geometer geometer NN 63372 1216 50 's 's POS 63372 1216 51 system system NN 63372 1216 52 applies apply VBZ 63372 1216 53 . . . 63372 1217 1 The the DT 63372 1217 2 mathematician mathematician NN 63372 1217 3 is be VBZ 63372 1217 4 the the DT 63372 1217 5 tool tool NN 63372 1217 6 - - HYPH 63372 1217 7 maker maker NN 63372 1217 8 of of IN 63372 1217 9 all all DT 63372 1217 10 science science NN 63372 1217 11 , , , 63372 1217 12 but but CC 63372 1217 13 he -PRON- PRP 63372 1217 14 does do VBZ 63372 1217 15 not not RB 63372 1217 16 make make VB 63372 1217 17 his -PRON- PRP$ 63372 1217 18 own own JJ 63372 1217 19 tools tool NNS 63372 1217 20 -- -- : 63372 1217 21 these these DT 63372 1217 22 the the DT 63372 1217 23 logician logician JJ 63372 1217 24 supplies supply NNS 63372 1217 25 . . . 63372 1218 1 The the DT 63372 1218 2 logician logician NN 63372 1218 3 in in IN 63372 1218 4 turn turn NN 63372 1218 5 never never RB 63372 1218 6 descends descend VBZ 63372 1218 7 to to IN 63372 1218 8 the the DT 63372 1218 9 actual actual JJ 63372 1218 10 practice practice NN 63372 1218 11 of of IN 63372 1218 12 rigorous rigorous JJ 63372 1218 13 thinking thinking NN 63372 1218 14 , , , 63372 1218 15 save save IN 63372 1218 16 as as IN 63372 1218 17 he -PRON- PRP 63372 1218 18 must must MD 63372 1218 19 necessarily necessarily RB 63372 1218 20 do do VB 63372 1218 21 this this DT 63372 1218 22 in in IN 63372 1218 23 laying lay VBG 63372 1218 24 down down RP 63372 1218 25 the the DT 63372 1218 26 general general JJ 63372 1218 27 procedures procedure NNS 63372 1218 28 which which WDT 63372 1218 29 govern govern VBP 63372 1218 30 rigorous rigorous JJ 63372 1218 31 thinking thinking NN 63372 1218 32 . . . 63372 1219 1 He -PRON- PRP 63372 1219 2 is be VBZ 63372 1219 3 interested interested JJ 63372 1219 4 in in IN 63372 1219 5 processes process NNS 63372 1219 6 , , , 63372 1219 7 not not RB 63372 1219 8 in in IN 63372 1219 9 their -PRON- PRP$ 63372 1219 10 application application NN 63372 1219 11 . . . 63372 1220 1 He -PRON- PRP 63372 1220 2 tells tell VBZ 63372 1220 3 us -PRON- PRP 63372 1220 4 that that IN 63372 1220 5 if if IN 63372 1220 6 a a DT 63372 1220 7 proposition proposition NN 63372 1220 8 is be VBZ 63372 1220 9 true true JJ 63372 1220 10 its -PRON- PRP$ 63372 1220 11 converse converse NN 63372 1220 12 may may MD 63372 1220 13 be be VB 63372 1220 14 true true JJ 63372 1220 15 or or CC 63372 1220 16 false false JJ 63372 1220 17 or or CC 63372 1220 18 ambiguous ambiguous JJ 63372 1220 19 , , , 63372 1220 20 but but CC 63372 1220 21 its -PRON- PRP$ 63372 1220 22 contrapositive contrapositive NN 63372 1220 23 is be VBZ 63372 1220 24 always always RB 63372 1220 25 true true JJ 63372 1220 26 , , , 63372 1220 27 while while IN 63372 1220 28 its -PRON- PRP$ 63372 1220 29 negative negative JJ 63372 1220 30 is be VBZ 63372 1220 31 always always RB 63372 1220 32 false false JJ 63372 1220 33 . . . 63372 1221 1 But but CC 63372 1221 2 he -PRON- PRP 63372 1221 3 never never RB 63372 1221 4 , , , 63372 1221 5 from from IN 63372 1221 6 a a DT 63372 1221 7 particular particular JJ 63372 1221 8 proposition proposition NN 63372 1221 9 " " `` 63372 1221 10 If if IN 63372 1221 11 A a NN 63372 1221 12 is be VBZ 63372 1221 13 B b NN 63372 1221 14 then then RB 63372 1221 15 C C NNP 63372 1221 16 is be VBZ 63372 1221 17 D d NN 63372 1221 18 , , , 63372 1221 19 " " '' 63372 1221 20 draws draw VBZ 63372 1221 21 the the DT 63372 1221 22 particular particular JJ 63372 1221 23 contrapositive contrapositive JJ 63372 1221 24 inference inference NN 63372 1221 25 " " '' 63372 1221 26 If if IN 63372 1221 27 C C NNP 63372 1221 28 is be VBZ 63372 1221 29 not not RB 63372 1221 30 D d NN 63372 1221 31 then then RB 63372 1221 32 A a NN 63372 1221 33 is be VBZ 63372 1221 34 not not RB 63372 1221 35 B. b. NN 63372 1221 36 " " '' 63372 1222 1 That that DT 63372 1222 2 is be VBZ 63372 1222 3 the the DT 63372 1222 4 mathematician mathematician NN 63372 1222 5 's 's POS 63372 1222 6 business business NN 63372 1222 7 . . . 63372 1223 1 THE the DT 63372 1223 2 Rà Rà NNP 63372 1223 3 � � NNP 63372 1223 4 LE le NN 63372 1223 5 OF of IN 63372 1223 6 GEOMETRY GEOMETRY NNP 63372 1223 7 The the DT 63372 1223 8 mathematician mathematician NN 63372 1223 9 is be VBZ 63372 1223 10 the the DT 63372 1223 11 quantity quantity NN 63372 1223 12 - - HYPH 63372 1223 13 production production NN 63372 1223 14 man man NN 63372 1223 15 of of IN 63372 1223 16 science science NN 63372 1223 17 . . . 63372 1224 1 In in IN 63372 1224 2 his -PRON- PRP$ 63372 1224 3 absence absence NN 63372 1224 4 , , , 63372 1224 5 the the DT 63372 1224 6 worker worker NN 63372 1224 7 in in IN 63372 1224 8 each each DT 63372 1224 9 narrower narrow JJR 63372 1224 10 field field NN 63372 1224 11 where where WRB 63372 1224 12 the the DT 63372 1224 13 elements element NNS 63372 1224 14 under under IN 63372 1224 15 discussion discussion NN 63372 1224 16 take take VB 63372 1224 17 particular particular JJ 63372 1224 18 concrete concrete JJ 63372 1224 19 forms form NNS 63372 1224 20 could could MD 63372 1224 21 work work VB 63372 1224 22 out out RP 63372 1224 23 , , , 63372 1224 24 for for IN 63372 1224 25 himself -PRON- PRP 63372 1224 26 , , , 63372 1224 27 the the DT 63372 1224 28 propositions proposition NNS 63372 1224 29 of of IN 63372 1224 30 the the DT 63372 1224 31 logical logical JJ 63372 1224 32 structure structure NN 63372 1224 33 that that WDT 63372 1224 34 applies apply VBZ 63372 1224 35 to to IN 63372 1224 36 those those DT 63372 1224 37 elements element NNS 63372 1224 38 . . . 63372 1225 1 But but CC 63372 1225 2 it -PRON- PRP 63372 1225 3 would would MD 63372 1225 4 then then RB 63372 1225 5 be be VB 63372 1225 6 found find VBN 63372 1225 7 that that IN 63372 1225 8 the the DT 63372 1225 9 engineer engineer NN 63372 1225 10 had have VBD 63372 1225 11 duplicated duplicate VBN 63372 1225 12 the the DT 63372 1225 13 work work NN 63372 1225 14 of of IN 63372 1225 15 the the DT 63372 1225 16 physicist physicist NN 63372 1225 17 , , , 63372 1225 18 and and CC 63372 1225 19 so so RB 63372 1225 20 for for IN 63372 1225 21 many many JJ 63372 1225 22 other other JJ 63372 1225 23 cases case NNS 63372 1225 24 ; ; : 63372 1225 25 for for IN 63372 1225 26 the the DT 63372 1225 27 whole whole JJ 63372 1225 28 trend trend NN 63372 1225 29 of of IN 63372 1225 30 modern modern JJ 63372 1225 31 science science NN 63372 1225 32 is be VBZ 63372 1225 33 toward toward IN 63372 1225 34 showing show VBG 63372 1225 35 that that IN 63372 1225 36 the the DT 63372 1225 37 same same JJ 63372 1225 38 background background NN 63372 1225 39 of of IN 63372 1225 40 principles principle NNS 63372 1225 41 lies lie VBZ 63372 1225 42 at at IN 63372 1225 43 the the DT 63372 1225 44 root root NN 63372 1225 45 of of IN 63372 1225 46 all all DT 63372 1225 47 things thing NNS 63372 1225 48 . . . 63372 1226 1 So so RB 63372 1226 2 the the DT 63372 1226 3 mathematician mathematician NN 63372 1226 4 develops develop VBZ 63372 1226 5 the the DT 63372 1226 6 fabric fabric NN 63372 1226 7 of of IN 63372 1226 8 propositions proposition NNS 63372 1226 9 that that WDT 63372 1226 10 follows follow VBZ 63372 1226 11 from from IN 63372 1226 12 this this DT 63372 1226 13 , , , 63372 1226 14 that that DT 63372 1226 15 and and CC 63372 1226 16 the the DT 63372 1226 17 other other JJ 63372 1226 18 group group NN 63372 1226 19 of of IN 63372 1226 20 assumptions assumption NNS 63372 1226 21 , , , 63372 1226 22 and and CC 63372 1226 23 does do VBZ 63372 1226 24 this this DT 63372 1226 25 without without IN 63372 1226 26 in in IN 63372 1226 27 the the DT 63372 1226 28 least least JJS 63372 1226 29 concerning concern VBG 63372 1226 30 himself -PRON- PRP 63372 1226 31 as as IN 63372 1226 32 to to IN 63372 1226 33 the the DT 63372 1226 34 nature nature NN 63372 1226 35 of of IN 63372 1226 36 the the DT 63372 1226 37 elements element NNS 63372 1226 38 of of IN 63372 1226 39 which which WDT 63372 1226 40 these these DT 63372 1226 41 propositions proposition NNS 63372 1226 42 may may MD 63372 1226 43 be be VB 63372 1226 44 true true JJ 63372 1226 45 . . . 63372 1227 1 He -PRON- PRP 63372 1227 2 knows know VBZ 63372 1227 3 only only RB 63372 1227 4 that that IN 63372 1227 5 they -PRON- PRP 63372 1227 6 are be VBP 63372 1227 7 true true JJ 63372 1227 8 for for IN 63372 1227 9 any any DT 63372 1227 10 elements element NNS 63372 1227 11 of of IN 63372 1227 12 which which WDT 63372 1227 13 his -PRON- PRP$ 63372 1227 14 assumptions assumption NNS 63372 1227 15 are be VBP 63372 1227 16 true true JJ 63372 1227 17 , , , 63372 1227 18 and and CC 63372 1227 19 that that DT 63372 1227 20 is be VBZ 63372 1227 21 all all DT 63372 1227 22 he -PRON- PRP 63372 1227 23 needs need VBZ 63372 1227 24 to to TO 63372 1227 25 know know VB 63372 1227 26 . . . 63372 1228 1 Whenever whenever WRB 63372 1228 2 the the DT 63372 1228 3 worker worker NN 63372 1228 4 in in IN 63372 1228 5 some some DT 63372 1228 6 particular particular JJ 63372 1228 7 field field NN 63372 1228 8 finds find VBZ 63372 1228 9 that that IN 63372 1228 10 a a DT 63372 1228 11 certain certain JJ 63372 1228 12 group group NN 63372 1228 13 of of IN 63372 1228 14 the the DT 63372 1228 15 geometer geometer NN 63372 1228 16 's 's POS 63372 1228 17 assumptions assumption NNS 63372 1228 18 is be VBZ 63372 1228 19 true true JJ 63372 1228 20 for for IN 63372 1228 21 his -PRON- PRP$ 63372 1228 22 elements element NNS 63372 1228 23 , , , 63372 1228 24 the the DT 63372 1228 25 geometry geometry NN 63372 1228 26 of of IN 63372 1228 27 those those DT 63372 1228 28 elements element NNS 63372 1228 29 is be VBZ 63372 1228 30 ready ready JJ 63372 1228 31 at at IN 63372 1228 32 hand hand NN 63372 1228 33 for for IN 63372 1228 34 him -PRON- PRP 63372 1228 35 to to TO 63372 1228 36 use use VB 63372 1228 37 . . . 63372 1229 1 Now now RB 63372 1229 2 it -PRON- PRP 63372 1229 3 is be VBZ 63372 1229 4 all all RB 63372 1229 5 right right JJ 63372 1229 6 purposely purposely RB 63372 1229 7 to to TO 63372 1229 8 avoid avoid VB 63372 1229 9 knowing know VBG 63372 1229 10 what what WP 63372 1229 11 it -PRON- PRP 63372 1229 12 is be VBZ 63372 1229 13 that that IN 63372 1229 14 we -PRON- PRP 63372 1229 15 are be VBP 63372 1229 16 talking talk VBG 63372 1229 17 about about IN 63372 1229 18 , , , 63372 1229 19 so so IN 63372 1229 20 that that IN 63372 1229 21 the the DT 63372 1229 22 names name NNS 63372 1229 23 of of IN 63372 1229 24 these these DT 63372 1229 25 things thing NNS 63372 1229 26 shall shall MD 63372 1229 27 constitute constitute VB 63372 1229 28 mere mere JJ 63372 1229 29 blank blank JJ 63372 1229 30 forms form NNS 63372 1229 31 which which WDT 63372 1229 32 may may MD 63372 1229 33 be be VB 63372 1229 34 filled fill VBN 63372 1229 35 in in RP 63372 1229 36 , , , 63372 1229 37 when when WRB 63372 1229 38 and and CC 63372 1229 39 if if IN 63372 1229 40 we -PRON- PRP 63372 1229 41 wish wish VBP 63372 1229 42 , , , 63372 1229 43 by by IN 63372 1229 44 the the DT 63372 1229 45 names name NNS 63372 1229 46 of of IN 63372 1229 47 any any DT 63372 1229 48 things thing NNS 63372 1229 49 in in IN 63372 1229 50 the the DT 63372 1229 51 universe universe NN 63372 1229 52 of of IN 63372 1229 53 which which WDT 63372 1229 54 our -PRON- PRP$ 63372 1229 55 " " `` 63372 1229 56 axioms axiom NNS 63372 1229 57 " " '' 63372 1229 58 turn turn VBP 63372 1229 59 out out RP 63372 1229 60 to to TO 63372 1229 61 be be VB 63372 1229 62 true true JJ 63372 1229 63 . . . 63372 1230 1 But but CC 63372 1230 2 what what WP 63372 1230 3 about about IN 63372 1230 4 these these DT 63372 1230 5 axioms axiom NNS 63372 1230 6 themselves -PRON- PRP 63372 1230 7 ? ? . 63372 1231 1 When when WRB 63372 1231 2 we -PRON- PRP 63372 1231 3 lay lie VBD 63372 1231 4 them -PRON- PRP 63372 1231 5 down down RP 63372 1231 6 in in IN 63372 1231 7 ignorance ignorance NN 63372 1231 8 of of IN 63372 1231 9 the the DT 63372 1231 10 identity identity NN 63372 1231 11 of of IN 63372 1231 12 the the DT 63372 1231 13 elements element NNS 63372 1231 14 to to TO 63372 1231 15 which which WDT 63372 1231 16 they -PRON- PRP 63372 1231 17 may may MD 63372 1231 18 eventually eventually RB 63372 1231 19 apply apply VB 63372 1231 20 , , , 63372 1231 21 they -PRON- PRP 63372 1231 22 can can MD 63372 1231 23 not not RB 63372 1231 24 by by IN 63372 1231 25 any any DT 63372 1231 26 possibility possibility NN 63372 1231 27 be be VB 63372 1231 28 " " `` 63372 1231 29 self self NN 63372 1231 30 - - HYPH 63372 1231 31 evident evident JJ 63372 1231 32 . . . 63372 1231 33 " " '' 63372 1232 1 We -PRON- PRP 63372 1232 2 may may MD 63372 1232 3 , , , 63372 1232 4 at at IN 63372 1232 5 pleasure pleasure NN 63372 1232 6 , , , 63372 1232 7 accept accept VB 63372 1232 8 as as IN 63372 1232 9 self self NN 63372 1232 10 - - HYPH 63372 1232 11 evident evident JJ 63372 1232 12 a a DT 63372 1232 13 statement statement NN 63372 1232 14 about about IN 63372 1232 15 points point NNS 63372 1232 16 and and CC 63372 1232 17 lines line NNS 63372 1232 18 and and CC 63372 1232 19 planes plane NNS 63372 1232 20 ; ; : 63372 1232 21 or or CC 63372 1232 22 one one CD 63372 1232 23 about about IN 63372 1232 24 electrons electron NNS 63372 1232 25 , , , 63372 1232 26 centimeters centimeter NNS 63372 1232 27 and and CC 63372 1232 28 seconds second NNS 63372 1232 29 ; ; : 63372 1232 30 or or CC 63372 1232 31 one one CD 63372 1232 32 about about IN 63372 1232 33 integers integer NNS 63372 1232 34 , , , 63372 1232 35 fractions fraction NNS 63372 1232 36 , , , 63372 1232 37 and and CC 63372 1232 38 irrational irrational JJ 63372 1232 39 numbers number NNS 63372 1232 40 ; ; : 63372 1232 41 or or CC 63372 1232 42 one one CD 63372 1232 43 about about IN 63372 1232 44 any any DT 63372 1232 45 other other JJ 63372 1232 46 concrete concrete JJ 63372 1232 47 thing thing NN 63372 1232 48 or or CC 63372 1232 49 things thing NNS 63372 1232 50 whatever whatever WDT 63372 1232 51 . . . 63372 1233 1 But but CC 63372 1233 2 we -PRON- PRP 63372 1233 3 can can MD 63372 1233 4 not not RB 63372 1233 5 accept accept VB 63372 1233 6 as as IN 63372 1233 7 self self NN 63372 1233 8 - - HYPH 63372 1233 9 evident evident JJ 63372 1233 10 a a DT 63372 1233 11 statement statement NN 63372 1233 12 about about IN 63372 1233 13 chings ching NNS 63372 1233 14 , , , 63372 1233 15 changs chang NNS 63372 1233 16 and and CC 63372 1233 17 chungs chung NNS 63372 1233 18 . . . 63372 1234 1 So so RB 63372 1234 2 we -PRON- PRP 63372 1234 3 must must MD 63372 1234 4 base base VB 63372 1234 5 our -PRON- PRP$ 63372 1234 6 " " `` 63372 1234 7 axioms axiom NNS 63372 1234 8 " " '' 63372 1234 9 on on IN 63372 1234 10 some some DT 63372 1234 11 other other JJ 63372 1234 12 ground ground NN 63372 1234 13 than than IN 63372 1234 14 this this DT 63372 1234 15 ; ; : 63372 1234 16 and and CC 63372 1234 17 our -PRON- PRP$ 63372 1234 18 modern modern JJ 63372 1234 19 geometer geometer NN 63372 1234 20 has have VBZ 63372 1234 21 his -PRON- PRP$ 63372 1234 22 ground ground NN 63372 1234 23 ready ready JJ 63372 1234 24 and and CC 63372 1234 25 waiting wait VBG 63372 1234 26 . . . 63372 1235 1 He -PRON- PRP 63372 1235 2 accepts accept VBZ 63372 1235 3 his -PRON- PRP$ 63372 1235 4 axioms axiom NNS 63372 1235 5 on on IN 63372 1235 6 the the DT 63372 1235 7 ground ground NN 63372 1235 8 that that IN 63372 1235 9 it -PRON- PRP 63372 1235 10 pleases please VBZ 63372 1235 11 him -PRON- PRP 63372 1235 12 to to TO 63372 1235 13 do do VB 63372 1235 14 so so RB 63372 1235 15 . . . 63372 1236 1 To to TO 63372 1236 2 avoid avoid VB 63372 1236 3 all all DT 63372 1236 4 suggestion suggestion NN 63372 1236 5 that that IN 63372 1236 6 they -PRON- PRP 63372 1236 7 are be VBP 63372 1236 8 supposed suppose VBN 63372 1236 9 to to TO 63372 1236 10 be be VB 63372 1236 11 self self NN 63372 1236 12 - - HYPH 63372 1236 13 evident evident JJ 63372 1236 14 , , , 63372 1236 15 or or CC 63372 1236 16 even even RB 63372 1236 17 necessarily necessarily RB 63372 1236 18 true true JJ 63372 1236 19 , , , 63372 1236 20 he -PRON- PRP 63372 1236 21 drops drop VBZ 63372 1236 22 the the DT 63372 1236 23 term term NN 63372 1236 24 " " `` 63372 1236 25 axiom axiom JJ 63372 1236 26 " " '' 63372 1236 27 and and CC 63372 1236 28 substitutes substitute VBZ 63372 1236 29 for for IN 63372 1236 30 it -PRON- PRP 63372 1236 31 the the DT 63372 1236 32 more more JJR 63372 1236 33 color color NN 63372 1236 34 - - HYPH 63372 1236 35 less less JJR 63372 1236 36 word word NN 63372 1236 37 " " '' 63372 1236 38 postulate postulate NN 63372 1236 39 . . . 63372 1236 40 " " '' 63372 1237 1 A a DT 63372 1237 2 postulate postulate NN 63372 1237 3 is be VBZ 63372 1237 4 merely merely RB 63372 1237 5 something something NN 63372 1237 6 that that WDT 63372 1237 7 we -PRON- PRP 63372 1237 8 agreed agree VBD 63372 1237 9 to to TO 63372 1237 10 accept accept VB 63372 1237 11 , , , 63372 1237 12 for for IN 63372 1237 13 the the DT 63372 1237 14 time time NN 63372 1237 15 being be VBG 63372 1237 16 , , , 63372 1237 17 as as IN 63372 1237 18 a a DT 63372 1237 19 basis basis NN 63372 1237 20 of of IN 63372 1237 21 further further JJ 63372 1237 22 argument argument NN 63372 1237 23 . . . 63372 1238 1 If if IN 63372 1238 2 it -PRON- PRP 63372 1238 3 turns turn VBZ 63372 1238 4 out out RP 63372 1238 5 to to TO 63372 1238 6 be be VB 63372 1238 7 true true JJ 63372 1238 8 , , , 63372 1238 9 or or CC 63372 1238 10 if if IN 63372 1238 11 we -PRON- PRP 63372 1238 12 can can MD 63372 1238 13 find find VB 63372 1238 14 circumstances circumstance NNS 63372 1238 15 under under IN 63372 1238 16 which which WDT 63372 1238 17 and and CC 63372 1238 18 elements element VBZ 63372 1238 19 to to TO 63372 1238 20 which which WDT 63372 1238 21 it -PRON- PRP 63372 1238 22 applies apply VBZ 63372 1238 23 , , , 63372 1238 24 any any DT 63372 1238 25 conclusions conclusion NNS 63372 1238 26 which which WDT 63372 1238 27 we -PRON- PRP 63372 1238 28 deduce deduce VBP 63372 1238 29 from from IN 63372 1238 30 it -PRON- PRP 63372 1238 31 by by IN 63372 1238 32 trustworthy trustworthy JJ 63372 1238 33 processes process NNS 63372 1238 34 are be VBP 63372 1238 35 valid valid JJ 63372 1238 36 within within IN 63372 1238 37 the the DT 63372 1238 38 same same JJ 63372 1238 39 limitations limitation NNS 63372 1238 40 . . . 63372 1239 1 And and CC 63372 1239 2 the the DT 63372 1239 3 propositions proposition NNS 63372 1239 4 which which WDT 63372 1239 5 tell tell VBP 63372 1239 6 us -PRON- PRP 63372 1239 7 that that DT 63372 1239 8 , , , 63372 1239 9 if if IN 63372 1239 10 our -PRON- PRP$ 63372 1239 11 postulates postulate NNS 63372 1239 12 are be VBP 63372 1239 13 true true JJ 63372 1239 14 , , , 63372 1239 15 such such JJ 63372 1239 16 and and CC 63372 1239 17 such such JJ 63372 1239 18 conclusions conclusion NNS 63372 1239 19 are be VBP 63372 1239 20 true true JJ 63372 1239 21 -- -- : 63372 1239 22 they -PRON- PRP 63372 1239 23 , , , 63372 1239 24 too too RB 63372 1239 25 , , , 63372 1239 26 are be VBP 63372 1239 27 valid valid JJ 63372 1239 28 , , , 63372 1239 29 but but CC 63372 1239 30 without without IN 63372 1239 31 any any DT 63372 1239 32 reservation reservation NN 63372 1239 33 at at RB 63372 1239 34 all all RB 63372 1239 35 ! ! . 63372 1240 1 Perhaps perhaps RB 63372 1240 2 an an DT 63372 1240 3 illustration illustration NN 63372 1240 4 of of IN 63372 1240 5 just just RB 63372 1240 6 what what WP 63372 1240 7 this this DT 63372 1240 8 means mean VBZ 63372 1240 9 will will MD 63372 1240 10 not not RB 63372 1240 11 be be VB 63372 1240 12 out out IN 63372 1240 13 of of IN 63372 1240 14 place place NN 63372 1240 15 . . . 63372 1241 1 Let let VB 63372 1241 2 it -PRON- PRP 63372 1241 3 be be VB 63372 1241 4 admitted admit VBN 63372 1241 5 , , , 63372 1241 6 as as IN 63372 1241 7 a a DT 63372 1241 8 postulate postulate NN 63372 1241 9 , , , 63372 1241 10 that that IN 63372 1241 11 $ $ $ 63372 1241 12 7 7 CD 63372 1241 13 + + SYM 63372 1241 14 20 20 CD 63372 1241 15 $ $ $ 63372 1241 16 is be VBZ 63372 1241 17 greater great JJR 63372 1241 18 , , , 63372 1241 19 by by IN 63372 1241 20 1 1 CD 63372 1241 21 , , , 63372 1241 22 than than IN 63372 1241 23 $ $ $ 63372 1241 24 7 7 CD 63372 1241 25 + + SYM 63372 1241 26 19$. 19$. CD 63372 1242 1 Let let VB 63372 1242 2 us -PRON- PRP 63372 1242 3 then then RB 63372 1242 4 consider consider VB 63372 1242 5 the the DT 63372 1242 6 statement statement NN 63372 1242 7 : : : 63372 1242 8 " " `` 63372 1242 9 If if IN 63372 1242 10 $ $ $ 63372 1242 11 7 7 CD 63372 1242 12 + + SYM 63372 1242 13 19 19 CD 63372 1242 14 = = SYM 63372 1242 15 65 65 CD 63372 1242 16 $ $ $ 63372 1242 17 , , , 63372 1242 18 then then RB 63372 1242 19 $ $ $ 63372 1242 20 7 7 CD 63372 1242 21 + + SYM 63372 1242 22 20 20 CD 63372 1242 23 = = SYM 63372 1242 24 66$. 66$. CD 63372 1242 25 " " '' 63372 1243 1 We -PRON- PRP 63372 1243 2 know know VBP 63372 1243 3 -- -- : 63372 1243 4 at at IN 63372 1243 5 least least JJS 63372 1243 6 we -PRON- PRP 63372 1243 7 are be VBP 63372 1243 8 quite quite RB 63372 1243 9 certain certain JJ 63372 1243 10 -- -- : 63372 1243 11 that that IN 63372 1243 12 $ $ $ 63372 1243 13 7 7 CD 63372 1243 14 + + SYM 63372 1243 15 19 19 CD 63372 1243 16 $ $ $ 63372 1243 17 is be VBZ 63372 1243 18 not not RB 63372 1243 19 equal equal JJ 63372 1243 20 to to IN 63372 1243 21 65 65 CD 63372 1243 22 , , , 63372 1243 23 if if IN 63372 1243 24 by by IN 63372 1243 25 " " `` 63372 1243 26 7 7 CD 63372 1243 27 " " '' 63372 1243 28 and and CC 63372 1243 29 " " `` 63372 1243 30 19 19 CD 63372 1243 31 " " '' 63372 1243 32 and and CC 63372 1243 33 " " `` 63372 1243 34 65 65 CD 63372 1243 35 " " '' 63372 1243 36 we -PRON- PRP 63372 1243 37 mean mean VBP 63372 1243 38 what what WP 63372 1243 39 you -PRON- PRP 63372 1243 40 think think VBP 63372 1243 41 we -PRON- PRP 63372 1243 42 mean mean VBP 63372 1243 43 . . . 63372 1244 1 We -PRON- PRP 63372 1244 2 are be VBP 63372 1244 3 equally equally RB 63372 1244 4 sure sure JJ 63372 1244 5 , , , 63372 1244 6 on on IN 63372 1244 7 the the DT 63372 1244 8 same same JJ 63372 1244 9 grounds ground NNS 63372 1244 10 , , , 63372 1244 11 that that IN 63372 1244 12 $ $ $ 63372 1244 13 7 7 CD 63372 1244 14 + + SYM 63372 1244 15 20 20 CD 63372 1244 16 $ $ $ 63372 1244 17 is be VBZ 63372 1244 18 not not RB 63372 1244 19 equal equal JJ 63372 1244 20 to to IN 63372 1244 21 66 66 CD 63372 1244 22 . . . 63372 1245 1 But but CC 63372 1245 2 , , , 63372 1245 3 under under IN 63372 1245 4 the the DT 63372 1245 5 one one CD 63372 1245 6 assumption assumption NN 63372 1245 7 that that IN 63372 1245 8 we -PRON- PRP 63372 1245 9 have have VBP 63372 1245 10 permitted permit VBN 63372 1245 11 ourselves -PRON- PRP 63372 1245 12 , , , 63372 1245 13 it -PRON- PRP 63372 1245 14 is be VBZ 63372 1245 15 unquestionable unquestionable JJ 63372 1245 16 that that IN 63372 1245 17 if if IN 63372 1245 18 $ $ $ 63372 1245 19 7 7 CD 63372 1245 20 + + SYM 63372 1245 21 19 19 CD 63372 1245 22 $ $ $ 63372 1245 23 were be VBD 63372 1245 24 equal equal JJ 63372 1245 25 to to IN 63372 1245 26 65 65 CD 63372 1245 27 , , , 63372 1245 28 then then RB 63372 1245 29 $ $ $ 63372 1245 30 7 7 CD 63372 1245 31 + + SYM 63372 1245 32 20 20 CD 63372 1245 33 $ $ $ 63372 1245 34 certainly certainly RB 63372 1245 35 would would MD 63372 1245 36 be be VB 63372 1245 37 equal equal JJ 63372 1245 38 to to IN 63372 1245 39 66 66 CD 63372 1245 40 . . . 63372 1246 1 So so RB 63372 1246 2 , , , 63372 1246 3 while while IN 63372 1246 4 the the DT 63372 1246 5 conclusion conclusion NN 63372 1246 6 of of IN 63372 1246 7 the the DT 63372 1246 8 proposition proposition NN 63372 1246 9 which which WDT 63372 1246 10 I -PRON- PRP 63372 1246 11 have have VBP 63372 1246 12 put put VBN 63372 1246 13 in in IN 63372 1246 14 quotation quotation NN 63372 1246 15 marks mark NNS 63372 1246 16 is be VBZ 63372 1246 17 altogether altogether RB 63372 1246 18 false false JJ 63372 1246 19 , , , 63372 1246 20 the the DT 63372 1246 21 proposition proposition NN 63372 1246 22 itself -PRON- PRP 63372 1246 23 , , , 63372 1246 24 under under IN 63372 1246 25 our -PRON- PRP$ 63372 1246 26 assumption assumption NN 63372 1246 27 , , , 63372 1246 28 is be VBZ 63372 1246 29 entirely entirely RB 63372 1246 30 true true JJ 63372 1246 31 . . . 63372 1247 1 I -PRON- PRP 63372 1247 2 have have VBP 63372 1247 3 taken take VBN 63372 1247 4 an an DT 63372 1247 5 illustration illustration NN 63372 1247 6 designed design VBN 63372 1247 7 to to TO 63372 1247 8 be be VB 63372 1247 9 striking strike VBG 63372 1247 10 rather rather RB 63372 1247 11 than than IN 63372 1247 12 to to TO 63372 1247 13 possess possess VB 63372 1247 14 scientific scientific JJ 63372 1247 15 interest interest NN 63372 1247 16 ; ; : 63372 1247 17 I -PRON- PRP 63372 1247 18 could could MD 63372 1247 19 just just RB 63372 1247 20 as as RB 63372 1247 21 easily easily RB 63372 1247 22 have have VBP 63372 1247 23 shown show VBN 63372 1247 24 a a DT 63372 1247 25 true true JJ 63372 1247 26 proposition proposition NN 63372 1247 27 leading lead VBG 63372 1247 28 to to IN 63372 1247 29 a a DT 63372 1247 30 false false JJ 63372 1247 31 conclusion conclusion NN 63372 1247 32 , , , 63372 1247 33 but but CC 63372 1247 34 of of IN 63372 1247 35 such such JJ 63372 1247 36 sort sort NN 63372 1247 37 that that IN 63372 1247 38 it -PRON- PRP 63372 1247 39 would would MD 63372 1247 40 be be VB 63372 1247 41 of of IN 63372 1247 42 decided decide VBN 63372 1247 43 scientific scientific JJ 63372 1247 44 interest interest NN 63372 1247 45 as as IN 63372 1247 46 telling tell VBG 63372 1247 47 us -PRON- PRP 63372 1247 48 one one CD 63372 1247 49 of of IN 63372 1247 50 the the DT 63372 1247 51 consequences consequence NNS 63372 1247 52 of of IN 63372 1247 53 a a DT 63372 1247 54 certain certain JJ 63372 1247 55 assumption assumption NN 63372 1247 56 . . . 63372 1248 1 WHAT what WP 63372 1248 2 MAY MAY MD 63372 1248 3 WE we PRP 63372 1248 4 TAKE take VB 63372 1248 5 FOR for IN 63372 1248 6 GRANTED grant VBN 63372 1248 7 ? ? . 63372 1249 1 This this DT 63372 1249 2 is be VBZ 63372 1249 3 all all DT 63372 1249 4 very very RB 63372 1249 5 fine fine JJ 63372 1249 6 ; ; : 63372 1249 7 but but CC 63372 1249 8 how how WRB 63372 1249 9 does do VBZ 63372 1249 10 the the DT 63372 1249 11 geometer geometer NN 63372 1249 12 know know VB 63372 1249 13 what what WP 63372 1249 14 postulates postulate VBZ 63372 1249 15 to to TO 63372 1249 16 lay lay VB 63372 1249 17 down down RP 63372 1249 18 ? ? . 63372 1250 1 One one CD 63372 1250 2 is be VBZ 63372 1250 3 tempted tempt VBN 63372 1250 4 to to TO 63372 1250 5 say say VB 63372 1250 6 that that IN 63372 1250 7 he -PRON- PRP 63372 1250 8 is be VBZ 63372 1250 9 at at IN 63372 1250 10 liberty liberty NN 63372 1250 11 to to TO 63372 1250 12 postulate postulate VB 63372 1250 13 anything anything NN 63372 1250 14 he -PRON- PRP 63372 1250 15 pleases please VBZ 63372 1250 16 , , , 63372 1250 17 and and CC 63372 1250 18 investigate investigate VB 63372 1250 19 the the DT 63372 1250 20 results result NNS 63372 1250 21 ; ; : 63372 1250 22 and and CC 63372 1250 23 that that IN 63372 1250 24 whether whether IN 63372 1250 25 or or CC 63372 1250 26 not not RB 63372 1250 27 his -PRON- PRP$ 63372 1250 28 postulate postulate NN 63372 1250 29 ever ever RB 63372 1250 30 be be VB 63372 1250 31 realized realize VBN 63372 1250 32 , , , 63372 1250 33 the the DT 63372 1250 34 propositions proposition NNS 63372 1250 35 that that WDT 63372 1250 36 he -PRON- PRP 63372 1250 37 deduces deduce VBZ 63372 1250 38 from from IN 63372 1250 39 it -PRON- PRP 63372 1250 40 , , , 63372 1250 41 being be VBG 63372 1250 42 true true JJ 63372 1250 43 , , , 63372 1250 44 are be VBP 63372 1250 45 of of IN 63372 1250 46 scientific scientific JJ 63372 1250 47 interest interest NN 63372 1250 48 . . . 63372 1251 1 Actually actually RB 63372 1251 2 , , , 63372 1251 3 however however RB 63372 1251 4 , , , 63372 1251 5 it -PRON- PRP 63372 1251 6 is be VBZ 63372 1251 7 not not RB 63372 1251 8 quite quite RB 63372 1251 9 as as RB 63372 1251 10 simple simple JJ 63372 1251 11 as as RB 63372 1251 12 all all PDT 63372 1251 13 that that DT 63372 1251 14 . . . 63372 1252 1 If if IN 63372 1252 2 it -PRON- PRP 63372 1252 3 were be VBD 63372 1252 4 sufficient sufficient JJ 63372 1252 5 to to TO 63372 1252 6 make make VB 63372 1252 7 a a DT 63372 1252 8 single single JJ 63372 1252 9 postulate postulate NN 63372 1252 10 it -PRON- PRP 63372 1252 11 would would MD 63372 1252 12 be be VB 63372 1252 13 as as RB 63372 1252 14 simple simple JJ 63372 1252 15 as as IN 63372 1252 16 all all PDT 63372 1252 17 that that DT 63372 1252 18 ; ; : 63372 1252 19 but but CC 63372 1252 20 it -PRON- PRP 63372 1252 21 turns turn VBZ 63372 1252 22 out out RP 63372 1252 23 that that IN 63372 1252 24 this this DT 63372 1252 25 is be VBZ 63372 1252 26 not not RB 63372 1252 27 sufficient sufficient JJ 63372 1252 28 any any DT 63372 1252 29 more more JJR 63372 1252 30 than than IN 63372 1252 31 it -PRON- PRP 63372 1252 32 is be VBZ 63372 1252 33 sufficient sufficient JJ 63372 1252 34 to to TO 63372 1252 35 have have VB 63372 1252 36 a a DT 63372 1252 37 single single JJ 63372 1252 38 undefined undefined JJ 63372 1252 39 term term NN 63372 1252 40 . . . 63372 1253 1 We -PRON- PRP 63372 1253 2 must must MD 63372 1253 3 have have VB 63372 1253 4 several several JJ 63372 1253 5 postulates postulate NNS 63372 1253 6 ; ; : 63372 1253 7 and and CC 63372 1253 8 they -PRON- PRP 63372 1253 9 must must MD 63372 1253 10 be be VB 63372 1253 11 such such JJ 63372 1253 12 , , , 63372 1253 13 as as IN 63372 1253 14 a a DT 63372 1253 15 whole whole NN 63372 1253 16 , , , 63372 1253 17 that that IN 63372 1253 18 a a DT 63372 1253 19 geometry geometry NN 63372 1253 20 flows flow VBZ 63372 1253 21 out out IN 63372 1253 22 of of IN 63372 1253 23 them -PRON- PRP 63372 1253 24 . . . 63372 1254 1 The the DT 63372 1254 2 requirements requirement NNS 63372 1254 3 are be VBP 63372 1254 4 three three CD 63372 1254 5 . . . 63372 1255 1 In in IN 63372 1255 2 the the DT 63372 1255 3 first first JJ 63372 1255 4 place place NN 63372 1255 5 , , , 63372 1255 6 the the DT 63372 1255 7 system system NN 63372 1255 8 of of IN 63372 1255 9 postulates postulate NNS 63372 1255 10 must must MD 63372 1255 11 be be VB 63372 1255 12 " " `` 63372 1255 13 categorical categorical JJ 63372 1255 14 " " '' 63372 1255 15 or or CC 63372 1255 16 complete complete JJ 63372 1255 17 -- -- : 63372 1255 18 there there EX 63372 1255 19 must must MD 63372 1255 20 be be VB 63372 1255 21 enough enough JJ 63372 1255 22 of of IN 63372 1255 23 them -PRON- PRP 63372 1255 24 , , , 63372 1255 25 and and CC 63372 1255 26 they -PRON- PRP 63372 1255 27 must must MD 63372 1255 28 cover cover VB 63372 1255 29 enough enough JJ 63372 1255 30 ground ground NN 63372 1255 31 , , , 63372 1255 32 for for IN 63372 1255 33 the the DT 63372 1255 34 support support NN 63372 1255 35 of of IN 63372 1255 36 a a DT 63372 1255 37 complete complete JJ 63372 1255 38 system system NN 63372 1255 39 of of IN 63372 1255 40 geometry geometry NN 63372 1255 41 . . . 63372 1256 1 In in IN 63372 1256 2 practice practice NN 63372 1256 3 the the DT 63372 1256 4 test test NN 63372 1256 5 for for IN 63372 1256 6 this this DT 63372 1256 7 is be VBZ 63372 1256 8 direct direct JJ 63372 1256 9 . . . 63372 1257 1 If if IN 63372 1257 2 we -PRON- PRP 63372 1257 3 got get VBD 63372 1257 4 to to IN 63372 1257 5 a a DT 63372 1257 6 point point NN 63372 1257 7 in in IN 63372 1257 8 the the DT 63372 1257 9 building building NN 63372 1257 10 up up RP 63372 1257 11 of of IN 63372 1257 12 a a DT 63372 1257 13 geometry geometry NN 63372 1257 14 where where WRB 63372 1257 15 we -PRON- PRP 63372 1257 16 could could MD 63372 1257 17 not not RB 63372 1257 18 prove prove VB 63372 1257 19 whether whether IN 63372 1257 20 a a DT 63372 1257 21 certain certain JJ 63372 1257 22 thing thing NN 63372 1257 23 was be VBD 63372 1257 24 one one CD 63372 1257 25 way way NN 63372 1257 26 always always RB 63372 1257 27 , , , 63372 1257 28 or or CC 63372 1257 29 always always RB 63372 1257 30 the the DT 63372 1257 31 other other JJ 63372 1257 32 way way NN 63372 1257 33 , , , 63372 1257 34 or or CC 63372 1257 35 sometimes sometimes RB 63372 1257 36 one one CD 63372 1257 37 way way NN 63372 1257 38 and and CC 63372 1257 39 sometimes sometimes RB 63372 1257 40 the the DT 63372 1257 41 other other JJ 63372 1257 42 , , , 63372 1257 43 we -PRON- PRP 63372 1257 44 should should MD 63372 1257 45 conclude conclude VB 63372 1257 46 that that IN 63372 1257 47 we -PRON- PRP 63372 1257 48 needed need VBD 63372 1257 49 an an DT 63372 1257 50 additional additional JJ 63372 1257 51 postulate postulate NN 63372 1257 52 covering cover VBG 63372 1257 53 this this DT 63372 1257 54 ground ground NN 63372 1257 55 directly directly RB 63372 1257 56 or or CC 63372 1257 57 indirectly indirectly RB 63372 1257 58 . . . 63372 1258 1 And and CC 63372 1258 2 we -PRON- PRP 63372 1258 3 should should MD 63372 1258 4 make make VB 63372 1258 5 that that DT 63372 1258 6 postulate postulate NN 63372 1258 7 -- -- : 63372 1258 8 because because IN 63372 1258 9 it -PRON- PRP 63372 1258 10 is be VBZ 63372 1258 11 precisely precisely RB 63372 1258 12 the the DT 63372 1258 13 things thing NNS 63372 1258 14 that that WDT 63372 1258 15 we -PRON- PRP 63372 1258 16 ca can MD 63372 1258 17 n't not RB 63372 1258 18 prove prove VB 63372 1258 19 which which WDT 63372 1258 20 , , , 63372 1258 21 in in IN 63372 1258 22 practical practical JJ 63372 1258 23 work work NN 63372 1258 24 , , , 63372 1258 25 we -PRON- PRP 63372 1258 26 agree agree VBP 63372 1258 27 to to TO 63372 1258 28 assume assume VB 63372 1258 29 . . . 63372 1259 1 Even even RB 63372 1259 2 Euclid Euclid NNP 63372 1259 3 had have VBD 63372 1259 4 to to TO 63372 1259 5 adopt adopt VB 63372 1259 6 this this DT 63372 1259 7 philosophy philosophy NN 63372 1259 8 . . . 63372 1260 1 In in IN 63372 1260 2 the the DT 63372 1260 3 second second JJ 63372 1260 4 place place NN 63372 1260 5 , , , 63372 1260 6 the the DT 63372 1260 7 system system NN 63372 1260 8 of of IN 63372 1260 9 postulates postulate NNS 63372 1260 10 must must MD 63372 1260 11 be be VB 63372 1260 12 consistent consistent JJ 63372 1260 13 -- -- : 63372 1260 14 no no DT 63372 1260 15 one one NN 63372 1260 16 or or CC 63372 1260 17 more more JJR 63372 1260 18 of of IN 63372 1260 19 them -PRON- PRP 63372 1260 20 may may MD 63372 1260 21 lead lead VB 63372 1260 22 , , , 63372 1260 23 individually individually RB 63372 1260 24 or or CC 63372 1260 25 collectively collectively RB 63372 1260 26 , , , 63372 1260 27 to to IN 63372 1260 28 consequences consequence NNS 63372 1260 29 that that WDT 63372 1260 30 contradict contradict VBP 63372 1260 31 the the DT 63372 1260 32 results result NNS 63372 1260 33 or or CC 63372 1260 34 any any DT 63372 1260 35 other other JJ 63372 1260 36 or or CC 63372 1260 37 others other NNS 63372 1260 38 . . . 63372 1261 1 If if IN 63372 1261 2 in in IN 63372 1261 3 the the DT 63372 1261 4 course course NN 63372 1261 5 of of IN 63372 1261 6 building build VBG 63372 1261 7 up up RP 63372 1261 8 a a DT 63372 1261 9 geometry geometry NN 63372 1261 10 we -PRON- PRP 63372 1261 11 find find VBP 63372 1261 12 we -PRON- PRP 63372 1261 13 have have VBP 63372 1261 14 proved prove VBN 63372 1261 15 two two CD 63372 1261 16 propositions proposition NNS 63372 1261 17 that that WDT 63372 1261 18 deny deny VBP 63372 1261 19 one one CD 63372 1261 20 another another DT 63372 1261 21 , , , 63372 1261 22 we -PRON- PRP 63372 1261 23 search search VBP 63372 1261 24 out out RP 63372 1261 25 the the DT 63372 1261 26 implied imply VBN 63372 1261 27 contradiction contradiction NN 63372 1261 28 in in IN 63372 1261 29 our -PRON- PRP$ 63372 1261 30 postulates postulate NNS 63372 1261 31 and and CC 63372 1261 32 remedy remedy VB 63372 1261 33 it -PRON- PRP 63372 1261 34 . . . 63372 1262 1 Finally finally RB 63372 1262 2 , , , 63372 1262 3 the the DT 63372 1262 4 postulates postulate NNS 63372 1262 5 ought ought MD 63372 1262 6 to to TO 63372 1262 7 be be VB 63372 1262 8 independent independent JJ 63372 1262 9 . . . 63372 1263 1 It -PRON- PRP 63372 1263 2 should should MD 63372 1263 3 not not RB 63372 1263 4 be be VB 63372 1263 5 possible possible JJ 63372 1263 6 to to TO 63372 1263 7 prove prove VB 63372 1263 8 any any DT 63372 1263 9 one one CD 63372 1263 10 of of IN 63372 1263 11 them -PRON- PRP 63372 1263 12 as as IN 63372 1263 13 a a DT 63372 1263 14 consequence consequence NN 63372 1263 15 of of IN 63372 1263 16 the the DT 63372 1263 17 others other NNS 63372 1263 18 . . . 63372 1264 1 If if IN 63372 1264 2 this this DT 63372 1264 3 property property NN 63372 1264 4 fails fail VBZ 63372 1264 5 , , , 63372 1264 6 the the DT 63372 1264 7 geometry geometry NN 63372 1264 8 does do VBZ 63372 1264 9 not not RB 63372 1264 10 fail fail VB 63372 1264 11 with with IN 63372 1264 12 it -PRON- PRP 63372 1264 13 ; ; : 63372 1264 14 but but CC 63372 1264 15 it -PRON- PRP 63372 1264 16 is be VBZ 63372 1264 17 seriously seriously RB 63372 1264 18 disfigured disfigure VBN 63372 1264 19 by by IN 63372 1264 20 the the DT 63372 1264 21 superfluity superfluity NN 63372 1264 22 of of IN 63372 1264 23 assumptions assumption NNS 63372 1264 24 , , , 63372 1264 25 and and CC 63372 1264 26 one one CD 63372 1264 27 of of IN 63372 1264 28 them -PRON- PRP 63372 1264 29 should should MD 63372 1264 30 be be VB 63372 1264 31 eliminated eliminate VBN 63372 1264 32 . . . 63372 1265 1 If if IN 63372 1265 2 we -PRON- PRP 63372 1265 3 are be VBP 63372 1265 4 to to TO 63372 1265 5 assume assume VB 63372 1265 6 anything anything NN 63372 1265 7 unnecessarily unnecessarily RB 63372 1265 8 , , , 63372 1265 9 we -PRON- PRP 63372 1265 10 may may MD 63372 1265 11 as as RB 63372 1265 12 well well RB 63372 1265 13 assume assume VB 63372 1265 14 the the DT 63372 1265 15 whole whole JJ 63372 1265 16 geometry geometry NN 63372 1265 17 and and CC 63372 1265 18 be be VB 63372 1265 19 done do VBN 63372 1265 20 with with IN 63372 1265 21 it -PRON- PRP 63372 1265 22 . . . 63372 1266 1 The the DT 63372 1266 2 geometer geometer NN 63372 1266 3 's 's POS 63372 1266 4 business business NN 63372 1266 5 then then RB 63372 1266 6 is be VBZ 63372 1266 7 to to TO 63372 1266 8 draw draw VB 63372 1266 9 up up RP 63372 1266 10 a a DT 63372 1266 11 set set NN 63372 1266 12 of of IN 63372 1266 13 postulates postulate NNS 63372 1266 14 . . . 63372 1267 1 This this DT 63372 1267 2 he -PRON- PRP 63372 1267 3 may may MD 63372 1267 4 do do VB 63372 1267 5 on on IN 63372 1267 6 any any DT 63372 1267 7 basis basis NN 63372 1267 8 whatever whatever WDT 63372 1267 9 . . . 63372 1268 1 They -PRON- PRP 63372 1268 2 may may MD 63372 1268 3 be be VB 63372 1268 4 suggested suggest VBN 63372 1268 5 to to IN 63372 1268 6 him -PRON- PRP 63372 1268 7 by by IN 63372 1268 8 the the DT 63372 1268 9 behavior behavior NN 63372 1268 10 of of IN 63372 1268 11 points point NNS 63372 1268 12 , , , 63372 1268 13 lines line NNS 63372 1268 14 and and CC 63372 1268 15 planes plane NNS 63372 1268 16 , , , 63372 1268 17 or or CC 63372 1268 18 by by IN 63372 1268 19 some some DT 63372 1268 20 other other JJ 63372 1268 21 concrete concrete JJ 63372 1268 22 phenomena phenomenon NNS 63372 1268 23 ; ; : 63372 1268 24 they -PRON- PRP 63372 1268 25 may may MD 63372 1268 26 with with IN 63372 1268 27 equal equal JJ 63372 1268 28 propriety propriety NN 63372 1268 29 be be VB 63372 1268 30 the the DT 63372 1268 31 product product NN 63372 1268 32 of of IN 63372 1268 33 an an DT 63372 1268 34 inventive inventive JJ 63372 1268 35 imagination imagination NN 63372 1268 36 . . . 63372 1269 1 On on IN 63372 1269 2 proceeding proceed VBG 63372 1269 3 to to TO 63372 1269 4 deduce deduce VB 63372 1269 5 their -PRON- PRP$ 63372 1269 6 consequences consequence NNS 63372 1269 7 , , , 63372 1269 8 he -PRON- PRP 63372 1269 9 will will MD 63372 1269 10 discover discover VB 63372 1269 11 and and CC 63372 1269 12 remedy remedy VB 63372 1269 13 any any DT 63372 1269 14 lack lack NN 63372 1269 15 of of IN 63372 1269 16 categoricity categoricity NN 63372 1269 17 or or CC 63372 1269 18 consistence consistence NN 63372 1269 19 or or CC 63372 1269 20 independence independence NN 63372 1269 21 which which WDT 63372 1269 22 his -PRON- PRP$ 63372 1269 23 original original JJ 63372 1269 24 system system NN 63372 1269 25 of of IN 63372 1269 26 postulates postulate NNS 63372 1269 27 may may MD 63372 1269 28 have have VB 63372 1269 29 lacked lack VBN 63372 1269 30 . . . 63372 1270 1 In in IN 63372 1270 2 the the DT 63372 1270 3 end end NN 63372 1270 4 he -PRON- PRP 63372 1270 5 will will MD 63372 1270 6 have have VB 63372 1270 7 so so RB 63372 1270 8 large large JJ 63372 1270 9 a a DT 63372 1270 10 body body NN 63372 1270 11 of of IN 63372 1270 12 propositions proposition NNS 63372 1270 13 without without IN 63372 1270 14 contradiction contradiction NN 63372 1270 15 or or CC 63372 1270 16 failure failure NN 63372 1270 17 that that IN 63372 1270 18 he -PRON- PRP 63372 1270 19 will will MD 63372 1270 20 conclude conclude VB 63372 1270 21 the the DT 63372 1270 22 propriety propriety NN 63372 1270 23 of of IN 63372 1270 24 his -PRON- PRP$ 63372 1270 25 postulates postulate NNS 63372 1270 26 to to TO 63372 1270 27 have have VB 63372 1270 28 been be VBN 63372 1270 29 established establish VBN 63372 1270 30 , , , 63372 1270 31 and and CC 63372 1270 32 the the DT 63372 1270 33 geometry geometry NN 63372 1270 34 based base VBN 63372 1270 35 on on IN 63372 1270 36 them -PRON- PRP 63372 1270 37 to to TO 63372 1270 38 be be VB 63372 1270 39 a a DT 63372 1270 40 valid valid JJ 63372 1270 41 one one NN 63372 1270 42 . . . 63372 1271 1 AND and CC 63372 1271 2 WHAT what WP 63372 1271 3 IS be VBZ 63372 1271 4 IT it PRP 63372 1271 5 ALL all DT 63372 1271 6 ABOUT about IN 63372 1271 7 ? ? . 63372 1272 1 Is be VBZ 63372 1272 2 this this DT 63372 1272 3 geometry geometry NN 63372 1272 4 ever ever RB 63372 1272 5 realized realize VBN 63372 1272 6 ? ? . 63372 1273 1 Strictly strictly RB 63372 1273 2 it -PRON- PRP 63372 1273 3 is be VBZ 63372 1273 4 not not RB 63372 1273 5 the the DT 63372 1273 6 geometer geometer NN 63372 1273 7 's 's POS 63372 1273 8 business business NN 63372 1273 9 to to TO 63372 1273 10 ask ask VB 63372 1273 11 or or CC 63372 1273 12 answer answer VB 63372 1273 13 this this DT 63372 1273 14 question question NN 63372 1273 15 . . . 63372 1274 1 But but CC 63372 1274 2 research research NN 63372 1274 3 develops develop VBZ 63372 1274 4 two two CD 63372 1274 5 viewpoints viewpoint NNS 63372 1274 6 . . . 63372 1275 1 There there EX 63372 1275 2 is be VBZ 63372 1275 3 always always RB 63372 1275 4 the the DT 63372 1275 5 man man NN 63372 1275 6 who who WP 63372 1275 7 indulges indulge VBZ 63372 1275 8 in in IN 63372 1275 9 the the DT 63372 1275 10 pursuit pursuit NN 63372 1275 11 of of IN 63372 1275 12 facts fact NNS 63372 1275 13 for for IN 63372 1275 14 their -PRON- PRP$ 63372 1275 15 sake sake NN 63372 1275 16 alone alone RB 63372 1275 17 , , , 63372 1275 18 and and CC 63372 1275 19 equally equally RB 63372 1275 20 the the DT 63372 1275 21 man man NN 63372 1275 22 who who WP 63372 1275 23 wants want VBZ 63372 1275 24 to to TO 63372 1275 25 see see VB 63372 1275 26 his -PRON- PRP$ 63372 1275 27 new new JJ 63372 1275 28 facts fact NNS 63372 1275 29 lead lead VBP 63372 1275 30 to to IN 63372 1275 31 something something NN 63372 1275 32 else else RB 63372 1275 33 . . . 63372 1276 1 One one CD 63372 1276 2 great great JJ 63372 1276 3 mathematician mathematician NN 63372 1276 4 is be VBZ 63372 1276 5 quoted quote VBN 63372 1276 6 as as IN 63372 1276 7 enunciating enunciate VBG 63372 1276 8 a a DT 63372 1276 9 new new JJ 63372 1276 10 theory theory NN 63372 1276 11 of of IN 63372 1276 12 surpassing surpass VBG 63372 1276 13 mathematical mathematical JJ 63372 1276 14 beauty beauty NN 63372 1276 15 with with IN 63372 1276 16 the the DT 63372 1276 17 climacteric climacteric NN 63372 1276 18 remark remark NN 63372 1276 19 " " '' 63372 1276 20 And and CC 63372 1276 21 , , , 63372 1276 22 thank thank VBP 63372 1276 23 God God NNP 63372 1276 24 , , , 63372 1276 25 no no DT 63372 1276 26 one one NN 63372 1276 27 will will MD 63372 1276 28 ever ever RB 63372 1276 29 be be VB 63372 1276 30 able able JJ 63372 1276 31 to to TO 63372 1276 32 find find VB 63372 1276 33 any any DT 63372 1276 34 use use NN 63372 1276 35 for for IN 63372 1276 36 it -PRON- PRP 63372 1276 37 . . . 63372 1276 38 " " '' 63372 1277 1 An an DT 63372 1277 2 equally equally RB 63372 1277 3 distinguished distinguish VBN 63372 1277 4 contemporary contemporary JJ 63372 1277 5 , , , 63372 1277 6 on on IN 63372 1277 7 being be VBG 63372 1277 8 interrogated interrogate VBN 63372 1277 9 concerning concern VBG 63372 1277 10 possible possible JJ 63372 1277 11 applications application NNS 63372 1277 12 for for IN 63372 1277 13 one one CD 63372 1277 14 of of IN 63372 1277 15 his -PRON- PRP$ 63372 1277 16 most most JJS 63372 1277 17 abstruse abstruse NN 63372 1277 18 theorems theorem NNS 63372 1277 19 , , , 63372 1277 20 replied reply VBD 63372 1277 21 that that IN 63372 1277 22 he -PRON- PRP 63372 1277 23 knew know VBD 63372 1277 24 no no DT 63372 1277 25 present present JJ 63372 1277 26 use use NN 63372 1277 27 for for IN 63372 1277 28 it -PRON- PRP 63372 1277 29 ; ; : 63372 1277 30 but but CC 63372 1277 31 that that DT 63372 1277 32 long long JJ 63372 1277 33 experience experience NN 63372 1277 34 had have VBD 63372 1277 35 made make VBN 63372 1277 36 him -PRON- PRP 63372 1277 37 confident confident JJ 63372 1277 38 that that IN 63372 1277 39 the the DT 63372 1277 40 mathematician mathematician NN 63372 1277 41 would would MD 63372 1277 42 never never RB 63372 1277 43 develop develop VB 63372 1277 44 any any DT 63372 1277 45 tool tool NN 63372 1277 46 , , , 63372 1277 47 however however RB 63372 1277 48 remote remote JJ 63372 1277 49 from from IN 63372 1277 50 immediate immediate JJ 63372 1277 51 utility utility NN 63372 1277 52 , , , 63372 1277 53 for for IN 63372 1277 54 which which WDT 63372 1277 55 the the DT 63372 1277 56 delvers delver NNS 63372 1277 57 in in IN 63372 1277 58 other other JJ 63372 1277 59 fields field NNS 63372 1277 60 would would MD 63372 1277 61 not not RB 63372 1277 62 presently presently RB 63372 1277 63 find find VB 63372 1277 64 some some DT 63372 1277 65 use use NN 63372 1277 66 . . . 63372 1278 1 If if IN 63372 1278 2 we -PRON- PRP 63372 1278 3 wish wish VBP 63372 1278 4 , , , 63372 1278 5 however however RB 63372 1278 6 , , , 63372 1278 7 we -PRON- PRP 63372 1278 8 may may MD 63372 1278 9 inquire inquire VB 63372 1278 10 with with IN 63372 1278 11 perfect perfect JJ 63372 1278 12 propriety propriety NN 63372 1278 13 , , , 63372 1278 14 from from IN 63372 1278 15 the the DT 63372 1278 16 side side NN 63372 1278 17 lines line NNS 63372 1278 18 , , , 63372 1278 19 whether whether IN 63372 1278 20 a a DT 63372 1278 21 given give VBN 63372 1278 22 geometry geometry NN 63372 1278 23 is be VBZ 63372 1278 24 ever ever RB 63372 1278 25 realized realize VBN 63372 1278 26 . . . 63372 1279 1 We -PRON- PRP 63372 1279 2 may may MD 63372 1279 3 learn learn VB 63372 1279 4 that that DT 63372 1279 5 so so RB 63372 1279 6 far far RB 63372 1279 7 as as IN 63372 1279 8 has have VBZ 63372 1279 9 yet yet RB 63372 1279 10 been be VBN 63372 1279 11 discovered discover VBN 63372 1279 12 there there EX 63372 1279 13 are be VBP 63372 1279 14 no no DT 63372 1279 15 elements element NNS 63372 1279 16 for for IN 63372 1279 17 which which WDT 63372 1279 18 all all PDT 63372 1279 19 its -PRON- PRP$ 63372 1279 20 postulates postulate NNS 63372 1279 21 are be VBP 63372 1279 22 verified verify VBN 63372 1279 23 , , , 63372 1279 24 and and CC 63372 1279 25 that that IN 63372 1279 26 there there EX 63372 1279 27 is be VBZ 63372 1279 28 therefore therefore RB 63372 1279 29 no no DT 63372 1279 30 realization realization NN 63372 1279 31 known know VBN 63372 1279 32 . . . 63372 1280 1 On on IN 63372 1280 2 the the DT 63372 1280 3 other other JJ 63372 1280 4 hand hand NN 63372 1280 5 , , , 63372 1280 6 we -PRON- PRP 63372 1280 7 may may MD 63372 1280 8 more more RBR 63372 1280 9 likely likely RB 63372 1280 10 find find VB 63372 1280 11 that that IN 63372 1280 12 many many JJ 63372 1280 13 different different JJ 63372 1280 14 sets set NNS 63372 1280 15 of of IN 63372 1280 16 elements element NNS 63372 1280 17 are be VBP 63372 1280 18 such such JJ 63372 1280 19 that that IN 63372 1280 20 the the DT 63372 1280 21 postulates postulate NNS 63372 1280 22 can can MD 63372 1280 23 be be VB 63372 1280 24 interpreted interpret VBN 63372 1280 25 as as IN 63372 1280 26 applying apply VBG 63372 1280 27 to to IN 63372 1280 28 them -PRON- PRP 63372 1280 29 , , , 63372 1280 30 and and CC 63372 1280 31 that that IN 63372 1280 32 we -PRON- PRP 63372 1280 33 therefore therefore RB 63372 1280 34 have have VBP 63372 1280 35 numerous numerous JJ 63372 1280 36 realizations realization NNS 63372 1280 37 of of IN 63372 1280 38 the the DT 63372 1280 39 geometry geometry NN 63372 1280 40 . . . 63372 1281 1 As as IN 63372 1281 2 a a DT 63372 1281 3 human human NN 63372 1281 4 being be VBG 63372 1281 5 the the DT 63372 1281 6 geometer geometer NN 63372 1281 7 may may MD 63372 1281 8 be be VB 63372 1281 9 interested interested JJ 63372 1281 10 in in IN 63372 1281 11 all all PDT 63372 1281 12 this this DT 63372 1281 13 , , , 63372 1281 14 but but CC 63372 1281 15 as as IN 63372 1281 16 a a DT 63372 1281 17 geometer geometer NN 63372 1281 18 it -PRON- PRP 63372 1281 19 really really RB 63372 1281 20 makes make VBZ 63372 1281 21 little little JJ 63372 1281 22 difference difference NN 63372 1281 23 to to IN 63372 1281 24 him -PRON- PRP 63372 1281 25 . . . 63372 1282 1 When when WRB 63372 1282 2 we -PRON- PRP 63372 1282 3 look look VBP 63372 1282 4 at at IN 63372 1282 5 space space NN 63372 1282 6 about about IN 63372 1282 7 us -PRON- PRP 63372 1282 8 , , , 63372 1282 9 we -PRON- PRP 63372 1282 10 see see VBP 63372 1282 11 it -PRON- PRP 63372 1282 12 , , , 63372 1282 13 for for IN 63372 1282 14 some some DT 63372 1282 15 reason reason NN 63372 1282 16 grounded ground VBN 63372 1282 17 in in IN 63372 1282 18 the the DT 63372 1282 19 psychological psychological JJ 63372 1282 20 history history NN 63372 1282 21 of of IN 63372 1282 22 the the DT 63372 1282 23 human human JJ 63372 1282 24 race race NN 63372 1282 25 , , , 63372 1282 26 as as IN 63372 1282 27 made make VBN 63372 1282 28 up up RP 63372 1282 29 in in IN 63372 1282 30 the the DT 63372 1282 31 small small NN 63372 1282 32 of of IN 63372 1282 33 points point NNS 63372 1282 34 , , , 63372 1282 35 which which WDT 63372 1282 36 go go VBP 63372 1282 37 to to TO 63372 1282 38 make make VB 63372 1282 39 up up RP 63372 1282 40 lines line NNS 63372 1282 41 , , , 63372 1282 42 which which WDT 63372 1282 43 in in IN 63372 1282 44 turn turn NN 63372 1282 45 constitute constitute NN 63372 1282 46 planes plane NNS 63372 1282 47 . . . 63372 1283 1 Or or CC 63372 1283 2 we -PRON- PRP 63372 1283 3 can can MD 63372 1283 4 start start VB 63372 1283 5 at at IN 63372 1283 6 the the DT 63372 1283 7 other other JJ 63372 1283 8 end end NN 63372 1283 9 and and CC 63372 1283 10 break break VB 63372 1283 11 space space NN 63372 1283 12 down down RB 63372 1283 13 first first RB 63372 1283 14 into into IN 63372 1283 15 planes plane NNS 63372 1283 16 , , , 63372 1283 17 then then RB 63372 1283 18 into into IN 63372 1283 19 lines line NNS 63372 1283 20 , , , 63372 1283 21 finally finally RB 63372 1283 22 into into IN 63372 1283 23 points point NNS 63372 1283 24 . . . 63372 1284 1 Our -PRON- PRP$ 63372 1284 2 perceptions perception NNS 63372 1284 3 and and CC 63372 1284 4 conceptions conception NNS 63372 1284 5 of of IN 63372 1284 6 these these DT 63372 1284 7 points point NNS 63372 1284 8 , , , 63372 1284 9 lines line NNS 63372 1284 10 and and CC 63372 1284 11 planes plane NNS 63372 1284 12 are be VBP 63372 1284 13 very very RB 63372 1284 14 definite definite JJ 63372 1284 15 indeed indeed RB 63372 1284 16 ; ; : 63372 1284 17 it -PRON- PRP 63372 1284 18 seems seem VBZ 63372 1284 19 indeed indeed RB 63372 1284 20 , , , 63372 1284 21 as as IN 63372 1284 22 the the DT 63372 1284 23 Greeks Greeks NNPS 63372 1284 24 thought think VBD 63372 1284 25 , , , 63372 1284 26 that that IN 63372 1284 27 certain certain JJ 63372 1284 28 things thing NNS 63372 1284 29 about about IN 63372 1284 30 them -PRON- PRP 63372 1284 31 are be VBP 63372 1284 32 self self NN 63372 1284 33 - - HYPH 63372 1284 34 evident evident JJ 63372 1284 35 . . . 63372 1285 1 If if IN 63372 1285 2 we -PRON- PRP 63372 1285 3 wish wish VBP 63372 1285 4 to to TO 63372 1285 5 take take VB 63372 1285 6 these these DT 63372 1285 7 self self NN 63372 1285 8 - - HYPH 63372 1285 9 evident evident JJ 63372 1285 10 properties property NNS 63372 1285 11 of of IN 63372 1285 12 point point NN 63372 1285 13 , , , 63372 1285 14 line line NN 63372 1285 15 and and CC 63372 1285 16 plane plane NN 63372 1285 17 , , , 63372 1285 18 and and CC 63372 1285 19 combine combine VB 63372 1285 20 with with IN 63372 1285 21 them -PRON- PRP 63372 1285 22 enough enough JJ 63372 1285 23 additional additional JJ 63372 1285 24 hair hair NN 63372 1285 25 - - HYPH 63372 1285 26 splitting split VBG 63372 1285 27 specifications specification NNS 63372 1285 28 to to TO 63372 1285 29 assure assure VB 63372 1285 30 the the DT 63372 1285 31 modern modern JJ 63372 1285 32 geometer geometer NN 63372 1285 33 that that WDT 63372 1285 34 we -PRON- PRP 63372 1285 35 have have VBP 63372 1285 36 really really RB 63372 1285 37 a a DT 63372 1285 38 categorical categorical JJ 63372 1285 39 system system NN 63372 1285 40 of of IN 63372 1285 41 assumptions assumption NNS 63372 1285 42 , , , 63372 1285 43 we -PRON- PRP 63372 1285 44 shall shall MD 63372 1285 45 have have VB 63372 1285 46 the the DT 63372 1285 47 basis basis NN 63372 1285 48 of of IN 63372 1285 49 a a DT 63372 1285 50 perfectly perfectly RB 63372 1285 51 good good JJ 63372 1285 52 system system NN 63372 1285 53 of of IN 63372 1285 54 geometry geometry NN 63372 1285 55 . . . 63372 1286 1 This this DT 63372 1286 2 will will MD 63372 1286 3 be be VB 63372 1286 4 what what WP 63372 1286 5 we -PRON- PRP 63372 1286 6 unavoidably unavoidably RB 63372 1286 7 think think VBP 63372 1286 8 of of IN 63372 1286 9 as as IN 63372 1286 10 the the DT 63372 1286 11 absolute absolute JJ 63372 1286 12 truth truth NN 63372 1286 13 with with IN 63372 1286 14 regard regard NN 63372 1286 15 to to IN 63372 1286 16 the the DT 63372 1286 17 space space NN 63372 1286 18 about about IN 63372 1286 19 us -PRON- PRP 63372 1286 20 ; ; : 63372 1286 21 but but CC 63372 1286 22 you -PRON- PRP 63372 1286 23 must must MD 63372 1286 24 n't not RB 63372 1286 25 say say VB 63372 1286 26 so so RB 63372 1286 27 in in IN 63372 1286 28 the the DT 63372 1286 29 presence presence NN 63372 1286 30 of of IN 63372 1286 31 the the DT 63372 1286 32 geometer geometer NN 63372 1286 33 . . . 63372 1287 1 It -PRON- PRP 63372 1287 2 will will MD 63372 1287 3 also also RB 63372 1287 4 be be VB 63372 1287 5 what what WP 63372 1287 6 we -PRON- PRP 63372 1287 7 call call VBP 63372 1287 8 the the DT 63372 1287 9 Euclidean euclidean JJ 63372 1287 10 geometry geometry NN 63372 1287 11 . . . 63372 1288 1 It -PRON- PRP 63372 1288 2 has have VBZ 63372 1288 3 been be VBN 63372 1288 4 satisfactory satisfactory JJ 63372 1288 5 in in IN 63372 1288 6 the the DT 63372 1288 7 last last JJ 63372 1288 8 degree degree NN 63372 1288 9 , , , 63372 1288 10 because because IN 63372 1288 11 not not RB 63372 1288 12 only only JJ 63372 1288 13 space space NN 63372 1288 14 , , , 63372 1288 15 but but CC 63372 1288 16 pretty pretty RB 63372 1288 17 much much RB 63372 1288 18 every every DT 63372 1288 19 other other JJ 63372 1288 20 system system NN 63372 1288 21 of of IN 63372 1288 22 two two CD 63372 1288 23 or or CC 63372 1288 24 three three CD 63372 1288 25 elements element NNS 63372 1288 26 bearing bear VBG 63372 1288 27 any any DT 63372 1288 28 relations relation NNS 63372 1288 29 to to IN 63372 1288 30 one one CD 63372 1288 31 another another DT 63372 1288 32 can can MD 63372 1288 33 be be VB 63372 1288 34 made make VBN 63372 1288 35 , , , 63372 1288 36 by by IN 63372 1288 37 employing employ VBG 63372 1288 38 as as IN 63372 1288 39 a a DT 63372 1288 40 means means NN 63372 1288 41 of of IN 63372 1288 42 interpretation interpretation NN 63372 1288 43 the the DT 63372 1288 44 Cartesian cartesian JJ 63372 1288 45 scheme scheme NN 63372 1288 46 of of IN 63372 1288 47 plotting plotting NN 63372 1288 48 , , , 63372 1288 49 to to TO 63372 1288 50 fit fit VB 63372 1288 51 into into IN 63372 1288 52 the the DT 63372 1288 53 framework framework NN 63372 1288 54 of of IN 63372 1288 55 Euclidean euclidean JJ 63372 1288 56 geometry geometry NN 63372 1288 57 . . . 63372 1289 1 But but CC 63372 1289 2 it -PRON- PRP 63372 1289 3 is be VBZ 63372 1289 4 not not RB 63372 1289 5 the the DT 63372 1289 6 only only JJ 63372 1289 7 thing thing NN 63372 1289 8 in in IN 63372 1289 9 the the DT 63372 1289 10 world world NN 63372 1289 11 of of IN 63372 1289 12 conceptual conceptual JJ 63372 1289 13 possibilities possibility NNS 63372 1289 14 , , , 63372 1289 15 and and CC 63372 1289 16 it -PRON- PRP 63372 1289 17 begins begin VBZ 63372 1289 18 to to TO 63372 1289 19 appear appear VB 63372 1289 20 that that IN 63372 1289 21 it -PRON- PRP 63372 1289 22 may may MD 63372 1289 23 not not RB 63372 1289 24 even even RB 63372 1289 25 be be VB 63372 1289 26 the the DT 63372 1289 27 only only JJ 63372 1289 28 thing thing NN 63372 1289 29 in in IN 63372 1289 30 the the DT 63372 1289 31 world world NN 63372 1289 32 of of IN 63372 1289 33 cold cold JJ 63372 1289 34 hard hard JJ 63372 1289 35 fact fact NN 63372 1289 36 that that IN 63372 1289 37 surrounds surround VBZ 63372 1289 38 us -PRON- PRP 63372 1289 39 . . . 63372 1290 1 To to TO 63372 1290 2 see see VB 63372 1290 3 just just RB 63372 1290 4 how how WRB 63372 1290 5 this this DT 63372 1290 6 is be VBZ 63372 1290 7 so so RB 63372 1290 8 we -PRON- PRP 63372 1290 9 must must MD 63372 1290 10 return return VB 63372 1290 11 to to IN 63372 1290 12 Euclid Euclid NNP 63372 1290 13 , , , 63372 1290 14 and and CC 63372 1290 15 survey survey VB 63372 1290 16 the the DT 63372 1290 17 historical historical JJ 63372 1290 18 development development NN 63372 1290 19 of of IN 63372 1290 20 geometry geometry NN 63372 1290 21 from from IN 63372 1290 22 his -PRON- PRP$ 63372 1290 23 day day NN 63372 1290 24 to to IN 63372 1290 25 the the DT 63372 1290 26 present present JJ 63372 1290 27 time time NN 63372 1290 28 . . . 63372 1291 1 EUCLID EUCLID NNP 63372 1291 2 'S be VBZ 63372 1291 3 GEOMETRY GEOMETRY NNP 63372 1291 4 Point Point NNP 63372 1291 5 , , , 63372 1291 6 line line NN 63372 1291 7 and and CC 63372 1291 8 plane plane NN 63372 1291 9 Euclid euclid JJ 63372 1291 10 attempts attempt VBZ 63372 1291 11 to to TO 63372 1291 12 define define VB 63372 1291 13 . . . 63372 1292 1 Modern modern JJ 63372 1292 2 objection objection NN 63372 1292 3 to to IN 63372 1292 4 these these DT 63372 1292 5 efforts effort NNS 63372 1292 6 was be VBD 63372 1292 7 made make VBN 63372 1292 8 clear clear JJ 63372 1292 9 above above RB 63372 1292 10 . . . 63372 1293 1 Against against IN 63372 1293 2 Euclid Euclid NNP 63372 1293 3 's 's POS 63372 1293 4 specific specific JJ 63372 1293 5 performance performance NN 63372 1293 6 we -PRON- PRP 63372 1293 7 urge urge VBP 63372 1293 8 the the DT 63372 1293 9 further further JJ 63372 1293 10 specific specific JJ 63372 1293 11 fault fault NN 63372 1293 12 that that IN 63372 1293 13 his -PRON- PRP$ 63372 1293 14 " " `` 63372 1293 15 definitions definition NNS 63372 1293 16 " " '' 63372 1293 17 are be VBP 63372 1293 18 really really RB 63372 1293 19 assumptions assumption NNS 63372 1293 20 bestowing bestow VBG 63372 1293 21 certain certain JJ 63372 1293 22 properties property NNS 63372 1293 23 upon upon IN 63372 1293 24 points point NNS 63372 1293 25 , , , 63372 1293 26 lines line NNS 63372 1293 27 and and CC 63372 1293 28 planes plane NNS 63372 1293 29 . . . 63372 1294 1 These these DT 63372 1294 2 assumptions assumption NNS 63372 1294 3 Euclid euclid JJ 63372 1294 4 supplements supplement NNS 63372 1294 5 in in IN 63372 1294 6 his -PRON- PRP$ 63372 1294 7 axioms axiom NNS 63372 1294 8 ; ; : 63372 1294 9 and and CC 63372 1294 10 in in IN 63372 1294 11 the the DT 63372 1294 12 process process NN 63372 1294 13 of of IN 63372 1294 14 proving prove VBG 63372 1294 15 propositions proposition NNS 63372 1294 16 he -PRON- PRP 63372 1294 17 unconsciously unconsciously RB 63372 1294 18 supplements supplement VBZ 63372 1294 19 them -PRON- PRP 63372 1294 20 still still RB 63372 1294 21 further further RB 63372 1294 22 . . . 63372 1295 1 This this DT 63372 1295 2 is be VBZ 63372 1295 3 to to TO 63372 1295 4 be be VB 63372 1295 5 expected expect VBN 63372 1295 6 from from IN 63372 1295 7 one one CD 63372 1295 8 whose whose WP$ 63372 1295 9 justification justification NN 63372 1295 10 for for IN 63372 1295 11 laying lay VBG 63372 1295 12 down down RP 63372 1295 13 an an DT 63372 1295 14 axiom axiom NN 63372 1295 15 was be VBD 63372 1295 16 the the DT 63372 1295 17 alleged alleged JJ 63372 1295 18 obvious obvious JJ 63372 1295 19 character character NN 63372 1295 20 of of IN 63372 1295 21 the the DT 63372 1295 22 statement statement NN 63372 1295 23 made make VBN 63372 1295 24 . . . 63372 1296 1 If if IN 63372 1296 2 some some DT 63372 1296 3 things thing NNS 63372 1296 4 are be VBP 63372 1296 5 too too RB 63372 1296 6 obvious obvious JJ 63372 1296 7 to to TO 63372 1296 8 require require VB 63372 1296 9 demonstration demonstration NN 63372 1296 10 , , , 63372 1296 11 others other NNS 63372 1296 12 may may MD 63372 1296 13 be be VB 63372 1296 14 admitted admit VBN 63372 1296 15 as as RB 63372 1296 16 too too RB 63372 1296 17 obvious obvious JJ 63372 1296 18 to to TO 63372 1296 19 demand demand VB 63372 1296 20 explicit explicit JJ 63372 1296 21 statement statement NN 63372 1296 22 at at RB 63372 1296 23 all all RB 63372 1296 24 . . . 63372 1297 1 Thus thus RB 63372 1297 2 , , , 63372 1297 3 if if IN 63372 1297 4 Euclid Euclid NNP 63372 1297 5 has have VBZ 63372 1297 6 two two CD 63372 1297 7 points point NNS 63372 1297 8 A a NN 63372 1297 9 and and CC 63372 1297 10 B b NN 63372 1297 11 in in IN 63372 1297 12 a a DT 63372 1297 13 plane plane NN 63372 1297 14 , , , 63372 1297 15 on on IN 63372 1297 16 opposite opposite JJ 63372 1297 17 sides side NNS 63372 1297 18 of of IN 63372 1297 19 a a DT 63372 1297 20 line line NN 63372 1297 21 M m NN 63372 1297 22 , , , 63372 1297 23 he -PRON- PRP 63372 1297 24 will will MD 63372 1297 25 draw draw VB 63372 1297 26 the the DT 63372 1297 27 line line NN 63372 1297 28 AB ab NN 63372 1297 29 and and CC 63372 1297 30 without without IN 63372 1297 31 further further JJ 63372 1297 32 formality formality NN 63372 1297 33 speak speak NN 63372 1297 34 of of IN 63372 1297 35 the the DT 63372 1297 36 point point NN 63372 1297 37 C c NN 63372 1297 38 in in IN 63372 1297 39 which which WDT 63372 1297 40 it -PRON- PRP 63372 1297 41 intersects intersect VBZ 63372 1297 42 M. M. NNP 63372 1297 43 That that IN 63372 1297 44 it -PRON- PRP 63372 1297 45 does do VBZ 63372 1297 46 so so RB 63372 1297 47 intercept intercept VB 63372 1297 48 M M NNP 63372 1297 49 , , , 63372 1297 50 rather rather RB 63372 1297 51 than than IN 63372 1297 52 in in IN 63372 1297 53 some some DT 63372 1297 54 way way NN 63372 1297 55 dodges dodge VBZ 63372 1297 56 it -PRON- PRP 63372 1297 57 , , , 63372 1297 58 is be VBZ 63372 1297 59 really really RB 63372 1297 60 an an DT 63372 1297 61 assumption assumption NN 63372 1297 62 as as IN 63372 1297 63 to to IN 63372 1297 64 the the DT 63372 1297 65 nature nature NN 63372 1297 66 of of IN 63372 1297 67 lines line NNS 63372 1297 68 and and CC 63372 1297 69 planes plane NNS 63372 1297 70 . . . 63372 1298 1 Or or CC 63372 1298 2 again again RB 63372 1298 3 , , , 63372 1298 4 Euclid Euclid NNP 63372 1298 5 will will MD 63372 1298 6 speak speak VB 63372 1298 7 of of IN 63372 1298 8 a a DT 63372 1298 9 point point NN 63372 1298 10 D d NN 63372 1298 11 on on IN 63372 1298 12 the the DT 63372 1298 13 line line NN 63372 1298 14 AB AB NNP 63372 1298 15 , , , 63372 1298 16 between between IN 63372 1298 17 or or CC 63372 1298 18 outside outside IN 63372 1298 19 the the DT 63372 1298 20 points point NNS 63372 1298 21 A A NNP 63372 1298 22 and and CC 63372 1298 23 B b NN 63372 1298 24 , , , 63372 1298 25 without without IN 63372 1298 26 making make VBG 63372 1298 27 the the DT 63372 1298 28 formal formal JJ 63372 1298 29 assumption assumption NN 63372 1298 30 necessary necessary JJ 63372 1298 31 to to TO 63372 1298 32 insure insure VB 63372 1298 33 that that IN 63372 1298 34 the the DT 63372 1298 35 line line NN 63372 1298 36 is be VBZ 63372 1298 37 " " `` 63372 1298 38 full full JJ 63372 1298 39 " " '' 63372 1298 40 of of IN 63372 1298 41 points point NNS 63372 1298 42 so so IN 63372 1298 43 that that IN 63372 1298 44 such such PDT 63372 1298 45 a a DT 63372 1298 46 point point NN 63372 1298 47 as as IN 63372 1298 48 D d NN 63372 1298 49 must must MD 63372 1298 50 exist exist VB 63372 1298 51 . . . 63372 1299 1 That that IN 63372 1299 2 such such JJ 63372 1299 3 assumptions assumption NNS 63372 1299 4 as as IN 63372 1299 5 these these DT 63372 1299 6 are be VBP 63372 1299 7 necessary necessary JJ 63372 1299 8 follows follow VBZ 63372 1299 9 from from IN 63372 1299 10 our -PRON- PRP$ 63372 1299 11 previous previous JJ 63372 1299 12 remarks remark NNS 63372 1299 13 . . . 63372 1300 1 If if IN 63372 1300 2 we -PRON- PRP 63372 1300 3 think think VBP 63372 1300 4 of of IN 63372 1300 5 our -PRON- PRP$ 63372 1300 6 geometry geometry NN 63372 1300 7 as as IN 63372 1300 8 dealing deal VBG 63372 1300 9 with with IN 63372 1300 10 " " `` 63372 1300 11 chings ching NNS 63372 1300 12 , , , 63372 1300 13 " " '' 63372 1300 14 " " `` 63372 1300 15 changs chang NNS 63372 1300 16 , , , 63372 1300 17 " " '' 63372 1300 18 and and CC 63372 1300 19 " " `` 63372 1300 20 chungs chung NNS 63372 1300 21 , , , 63372 1300 22 " " '' 63372 1300 23 or or CC 63372 1300 24 with with IN 63372 1300 25 elements element NNS 63372 1300 26 I -PRON- PRP 63372 1300 27 , , , 63372 1300 28 II II NNP 63372 1300 29 and and CC 63372 1300 30 III III NNP 63372 1300 31 , , , 63372 1300 32 it -PRON- PRP 63372 1300 33 is be VBZ 63372 1300 34 no no RB 63372 1300 35 longer long RBR 63372 1300 36 in in IN 63372 1300 37 the the DT 63372 1300 38 least least JJS 63372 1300 39 degree degree NN 63372 1300 40 obvious obvious JJ 63372 1300 41 that that IN 63372 1300 42 the the DT 63372 1300 43 simplest simple JJS 63372 1300 44 property property NN 63372 1300 45 in in IN 63372 1300 46 the the DT 63372 1300 47 world world NN 63372 1300 48 applies apply VBZ 63372 1300 49 to to IN 63372 1300 50 these these DT 63372 1300 51 elements element NNS 63372 1300 52 . . . 63372 1301 1 If if IN 63372 1301 2 we -PRON- PRP 63372 1301 3 wish wish VBP 63372 1301 4 any any DT 63372 1301 5 property property NN 63372 1301 6 to to TO 63372 1301 7 prevail prevail VB 63372 1301 8 we -PRON- PRP 63372 1301 9 must must MD 63372 1301 10 state state VB 63372 1301 11 it -PRON- PRP 63372 1301 12 explicitly explicitly RB 63372 1301 13 . . . 63372 1302 1 With with IN 63372 1302 2 the the DT 63372 1302 3 postulates postulate NNS 63372 1302 4 embodied embody VBN 63372 1302 5 in in IN 63372 1302 6 his -PRON- PRP$ 63372 1302 7 definitions definition NNS 63372 1302 8 , , , 63372 1302 9 those those DT 63372 1302 10 stated state VBN 63372 1302 11 in in IN 63372 1302 12 his -PRON- PRP$ 63372 1302 13 axioms axiom NNS 63372 1302 14 , , , 63372 1302 15 and and CC 63372 1302 16 those those DT 63372 1302 17 which which WDT 63372 1302 18 he -PRON- PRP 63372 1302 19 reads read VBZ 63372 1302 20 into into IN 63372 1302 21 his -PRON- PRP$ 63372 1302 22 structure structure NN 63372 1302 23 by by IN 63372 1302 24 his -PRON- PRP$ 63372 1302 25 methods method NNS 63372 1302 26 of of IN 63372 1302 27 proof proof NN 63372 1302 28 , , , 63372 1302 29 Euclid Euclid NNP 63372 1302 30 has have VBZ 63372 1302 31 a a DT 63372 1302 32 categorical categorical JJ 63372 1302 33 set set NN 63372 1302 34 -- -- : 63372 1302 35 enough enough RB 63372 1302 36 to to TO 63372 1302 37 serve serve VB 63372 1302 38 as as IN 63372 1302 39 foundation foundation NN 63372 1302 40 for for IN 63372 1302 41 a a DT 63372 1302 42 geometry geometry NN 63372 1302 43 . . . 63372 1303 1 We -PRON- PRP 63372 1303 2 may may MD 63372 1303 3 then then RB 63372 1303 4 climb climb VB 63372 1303 5 into into IN 63372 1303 6 Euclid Euclid NNP 63372 1303 7 's 's POS 63372 1303 8 shoes shoe NNS 63372 1303 9 and and CC 63372 1303 10 take take VB 63372 1303 11 the the DT 63372 1303 12 next next JJ 63372 1303 13 step step NN 63372 1303 14 with with IN 63372 1303 15 him -PRON- PRP 63372 1303 16 . . . 63372 1304 1 We -PRON- PRP 63372 1304 2 follow follow VBP 63372 1304 3 him -PRON- PRP 63372 1304 4 while while IN 63372 1304 5 he -PRON- PRP 63372 1304 6 proves prove VBZ 63372 1304 7 a a DT 63372 1304 8 number number NN 63372 1304 9 of of IN 63372 1304 10 things thing NNS 63372 1304 11 about about IN 63372 1304 12 intersecting intersect VBG 63372 1304 13 lines line NNS 63372 1304 14 and and CC 63372 1304 15 about about IN 63372 1304 16 triangles triangle NNS 63372 1304 17 . . . 63372 1305 1 To to TO 63372 1305 2 be be VB 63372 1305 3 sure sure JJ 63372 1305 4 , , , 63372 1305 5 when when WRB 63372 1305 6 he -PRON- PRP 63372 1305 7 proves prove VBZ 63372 1305 8 that that IN 63372 1305 9 two two CD 63372 1305 10 triangles triangle NNS 63372 1305 11 are be VBP 63372 1305 12 identically identically RB 63372 1305 13 constituted constitute VBN 63372 1305 14 by by IN 63372 1305 15 moving move VBG 63372 1305 16 one one CD 63372 1305 17 of of IN 63372 1305 18 them -PRON- PRP 63372 1305 19 over over RP 63372 1305 20 on on IN 63372 1305 21 top top NN 63372 1305 22 of of IN 63372 1305 23 the the DT 63372 1305 24 other other JJ 63372 1305 25 , , , 63372 1305 26 we -PRON- PRP 63372 1305 27 may may MD 63372 1305 28 protest protest VB 63372 1305 29 on on IN 63372 1305 30 the the DT 63372 1305 31 ground ground NN 63372 1305 32 that that IN 63372 1305 33 the the DT 63372 1305 34 admission admission NN 63372 1305 35 of of IN 63372 1305 36 motion motion NN 63372 1305 37 , , , 63372 1305 38 especially especially RB 63372 1305 39 of of IN 63372 1305 40 motion motion NN 63372 1305 41 thus thus RB 63372 1305 42 imposed impose VBN 63372 1305 43 from from IN 63372 1305 44 without without IN 63372 1305 45 , , , 63372 1305 46 into into IN 63372 1305 47 a a DT 63372 1305 48 geometry geometry NN 63372 1305 49 of of IN 63372 1305 50 things thing NNS 63372 1305 51 is be VBZ 63372 1305 52 not not RB 63372 1305 53 beyond beyond IN 63372 1305 54 dispute dispute NN 63372 1305 55 . . . 63372 1306 1 If if IN 63372 1306 2 Euclid Euclid NNP 63372 1306 3 has have VBZ 63372 1306 4 caught catch VBN 63372 1306 5 our -PRON- PRP$ 63372 1306 6 modern modern JJ 63372 1306 7 viewpoint viewpoint NN 63372 1306 8 , , , 63372 1306 9 he -PRON- PRP 63372 1306 10 will will MD 63372 1306 11 rejoin rejoin VB 63372 1306 12 that that IN 63372 1306 13 if if IN 63372 1306 14 we -PRON- PRP 63372 1306 15 have have VBP 63372 1306 16 any any DT 63372 1306 17 doubts doubt NNS 63372 1306 18 as as IN 63372 1306 19 to to IN 63372 1306 20 the the DT 63372 1306 21 admissibility admissibility NN 63372 1306 22 of of IN 63372 1306 23 motion motion NN 63372 1306 24 he -PRON- PRP 63372 1306 25 will will MD 63372 1306 26 lay lay VB 63372 1306 27 down down RP 63372 1306 28 a a DT 63372 1306 29 postulate postulate NN 63372 1306 30 admitting admit VBG 63372 1306 31 it -PRON- PRP 63372 1306 32 , , , 63372 1306 33 and and CC 63372 1306 34 we -PRON- PRP 63372 1306 35 shall shall MD 63372 1306 36 be be VB 63372 1306 37 silenced silence VBN 63372 1306 38 . . . 63372 1307 1 Having have VBG 63372 1307 2 exhausted exhaust VBN 63372 1307 3 for for IN 63372 1307 4 the the DT 63372 1307 5 present present NN 63372 1307 6 the the DT 63372 1307 7 interest interest NN 63372 1307 8 of of IN 63372 1307 9 intersecting intersect VBG 63372 1307 10 lines line NNS 63372 1307 11 , , , 63372 1307 12 our -PRON- PRP$ 63372 1307 13 guide guide NN 63372 1307 14 now now RB 63372 1307 15 passes pass VBZ 63372 1307 16 to to IN 63372 1307 17 a a DT 63372 1307 18 consideration consideration NN 63372 1307 19 of of IN 63372 1307 20 lines line NNS 63372 1307 21 in in IN 63372 1307 22 the the DT 63372 1307 23 same same JJ 63372 1307 24 plane plane NN 63372 1307 25 that that WDT 63372 1307 26 never never RB 63372 1307 27 meet meet VBP 63372 1307 28 . . . 63372 1308 1 He -PRON- PRP 63372 1308 2 defines define VBZ 63372 1308 3 such such JJ 63372 1308 4 lines line NNS 63372 1308 5 as as IN 63372 1308 6 parallel parallel NN 63372 1308 7 . . . 63372 1309 1 If if IN 63372 1309 2 we -PRON- PRP 63372 1309 3 object object VBP 63372 1309 4 that that IN 63372 1309 5 he -PRON- PRP 63372 1309 6 should should MD 63372 1309 7 show show VB 63372 1309 8 the the DT 63372 1309 9 existence existence NN 63372 1309 10 of of IN 63372 1309 11 a a DT 63372 1309 12 derived derive VBN 63372 1309 13 concept concept NN 63372 1309 14 like like IN 63372 1309 15 this this DT 63372 1309 16 before before IN 63372 1309 17 laying lay VBG 63372 1309 18 down down RP 63372 1309 19 a a DT 63372 1309 20 definition definition NN 63372 1309 21 that that WDT 63372 1309 22 calls call VBZ 63372 1309 23 for for IN 63372 1309 24 it -PRON- PRP 63372 1309 25 to to TO 63372 1309 26 exist exist VB 63372 1309 27 , , , 63372 1309 28 he -PRON- PRP 63372 1309 29 can can MD 63372 1309 30 show show VB 63372 1309 31 that that IN 63372 1309 32 two two CD 63372 1309 33 lines line NNS 63372 1309 34 drawn draw VBN 63372 1309 35 perpendicular perpendicular JJ 63372 1309 36 to to IN 63372 1309 37 the the DT 63372 1309 38 same same JJ 63372 1309 39 line line NN 63372 1309 40 never never RB 63372 1309 41 meet meet VBP 63372 1309 42 . . . 63372 1310 1 He -PRON- PRP 63372 1310 2 will will MD 63372 1310 3 execute execute VB 63372 1310 4 this this DT 63372 1310 5 proof proof NN 63372 1310 6 by by IN 63372 1310 7 a a DT 63372 1310 8 special special JJ 63372 1310 9 sort sort NN 63372 1310 10 of of IN 63372 1310 11 superposition superposition NN 63372 1310 12 , , , 63372 1310 13 which which WDT 63372 1310 14 requires require VBZ 63372 1310 15 that that IN 63372 1310 16 the the DT 63372 1310 17 plane plane NN 63372 1310 18 be be VB 63372 1310 19 folded fold VBN 63372 1310 20 over over RP 63372 1310 21 on on IN 63372 1310 22 itself -PRON- PRP 63372 1310 23 , , , 63372 1310 24 through through IN 63372 1310 25 the the DT 63372 1310 26 third third JJ 63372 1310 27 dimension dimension NN 63372 1310 28 of of IN 63372 1310 29 surrounding surround VBG 63372 1310 30 space space NN 63372 1310 31 , , , 63372 1310 32 rather rather RB 63372 1310 33 than than IN 63372 1310 34 merely merely RB 63372 1310 35 slid slide VBD 63372 1310 36 along along RB 63372 1310 37 upon upon IN 63372 1310 38 itself -PRON- PRP 63372 1310 39 . . . 63372 1311 1 We -PRON- PRP 63372 1311 2 remain remain VBP 63372 1311 3 quiet quiet JJ 63372 1311 4 while while IN 63372 1311 5 Euclid Euclid NNP 63372 1311 6 demonstrates demonstrate VBZ 63372 1311 7 that that IN 63372 1311 8 if if IN 63372 1311 9 two two CD 63372 1311 10 lines line NNS 63372 1311 11 are be VBP 63372 1311 12 cut cut VBN 63372 1311 13 by by IN 63372 1311 14 any any DT 63372 1311 15 transversal transversal NN 63372 1311 16 in in IN 63372 1311 17 such such PDT 63372 1311 18 a a DT 63372 1311 19 way way NN 63372 1311 20 as as IN 63372 1311 21 to to TO 63372 1311 22 make make VB 63372 1311 23 corresponding corresponding JJ 63372 1311 24 angles angle NNS 63372 1311 25 at at IN 63372 1311 26 the the DT 63372 1311 27 two two CD 63372 1311 28 intersections intersection NNS 63372 1311 29 equal equal JJ 63372 1311 30 , , , 63372 1311 31 the the DT 63372 1311 32 lines line NNS 63372 1311 33 are be VBP 63372 1311 34 parallel parallel JJ 63372 1311 35 . . . 63372 1312 1 It -PRON- PRP 63372 1312 2 is be VBZ 63372 1312 3 then then RB 63372 1312 4 in in IN 63372 1312 5 order order NN 63372 1312 6 to to TO 63372 1312 7 investigate investigate VB 63372 1312 8 the the DT 63372 1312 9 converse converse NN 63372 1312 10 : : : 63372 1312 11 if if IN 63372 1312 12 the the DT 63372 1312 13 lines line NNS 63372 1312 14 are be VBP 63372 1312 15 parallel parallel JJ 63372 1312 16 to to TO 63372 1312 17 begin begin VB 63372 1312 18 with with IN 63372 1312 19 , , , 63372 1312 20 are be VBP 63372 1312 21 the the DT 63372 1312 22 angles angle NNS 63372 1312 23 equal equal JJ 63372 1312 24 ? ? . 63372 1313 1 AXIOMS AXIOMS NNP 63372 1313 2 MADE make VBD 63372 1313 3 TO to TO 63372 1313 4 ORDER order VB 63372 1313 5 This this DT 63372 1313 6 sounds sound VBZ 63372 1313 7 innocent innocent JJ 63372 1313 8 enough enough RB 63372 1313 9 ; ; , 63372 1313 10 but but CC 63372 1313 11 in in IN 63372 1313 12 no no DT 63372 1313 13 way way NN 63372 1313 14 was be VBD 63372 1313 15 Euclid Euclid NNP 63372 1313 16 able able JJ 63372 1313 17 to to TO 63372 1313 18 devise devise VB 63372 1313 19 a a DT 63372 1313 20 proof proof NN 63372 1313 21 -- -- : 63372 1313 22 or or CC 63372 1313 23 , , , 63372 1313 24 for for IN 63372 1313 25 that that DT 63372 1313 26 matter matter NN 63372 1313 27 , , , 63372 1313 28 a a DT 63372 1313 29 disproof disproof NN 63372 1313 30 . . . 63372 1314 1 So so RB 63372 1314 2 he -PRON- PRP 63372 1314 3 took take VBD 63372 1314 4 the the DT 63372 1314 5 only only JJ 63372 1314 6 way way NN 63372 1314 7 out out RB 63372 1314 8 , , , 63372 1314 9 and and CC 63372 1314 10 said say VBD 63372 1314 11 that that IN 63372 1314 12 if if IN 63372 1314 13 the the DT 63372 1314 14 lines line NNS 63372 1314 15 were be VBD 63372 1314 16 parallel parallel JJ 63372 1314 17 , , , 63372 1314 18 obviously obviously RB 63372 1314 19 they -PRON- PRP 63372 1314 20 extended extend VBD 63372 1314 21 in in IN 63372 1314 22 the the DT 63372 1314 23 same same JJ 63372 1314 24 direction direction NN 63372 1314 25 and and CC 63372 1314 26 made make VBD 63372 1314 27 the the DT 63372 1314 28 angles angle NNS 63372 1314 29 equal equal JJ 63372 1314 30 . . . 63372 1315 1 The the DT 63372 1315 2 thing thing NN 63372 1315 3 was be VBD 63372 1315 4 so so RB 63372 1315 5 obvious obvious JJ 63372 1315 6 , , , 63372 1315 7 he -PRON- PRP 63372 1315 8 argued argue VBD 63372 1315 9 , , , 63372 1315 10 that that IN 63372 1315 11 it -PRON- PRP 63372 1315 12 was be VBD 63372 1315 13 really really RB 63372 1315 14 an an DT 63372 1315 15 axiom axiom NN 63372 1315 16 and and CC 63372 1315 17 he -PRON- PRP 63372 1315 18 did do VBD 63372 1315 19 n't not RB 63372 1315 20 have have VB 63372 1315 21 to to TO 63372 1315 22 prove prove VB 63372 1315 23 it -PRON- PRP 63372 1315 24 ; ; : 63372 1315 25 so so RB 63372 1315 26 he -PRON- PRP 63372 1315 27 stated state VBD 63372 1315 28 it -PRON- PRP 63372 1315 29 as as IN 63372 1315 30 an an DT 63372 1315 31 axiom axiom NN 63372 1315 32 and and CC 63372 1315 33 proceeded proceed VBD 63372 1315 34 . . . 63372 1316 1 He -PRON- PRP 63372 1316 2 did do VBD 63372 1316 3 n't not RB 63372 1316 4 state state VB 63372 1316 5 it -PRON- PRP 63372 1316 6 in in IN 63372 1316 7 precisely precisely RB 63372 1316 8 the the DT 63372 1316 9 form form NN 63372 1316 10 I -PRON- PRP 63372 1316 11 have have VBP 63372 1316 12 used use VBN 63372 1316 13 ; ; : 63372 1316 14 he -PRON- PRP 63372 1316 15 apparently apparently RB 63372 1316 16 cast cast VBD 63372 1316 17 about about RP 63372 1316 18 for for IN 63372 1316 19 the the DT 63372 1316 20 form form NN 63372 1316 21 in in IN 63372 1316 22 which which WDT 63372 1316 23 it -PRON- PRP 63372 1316 24 would would MD 63372 1316 25 appear appear VB 63372 1316 26 most most RBS 63372 1316 27 obvious obvious JJ 63372 1316 28 , , , 63372 1316 29 and and CC 63372 1316 30 found find VBD 63372 1316 31 a a DT 63372 1316 32 statement statement NN 63372 1316 33 that that WDT 63372 1316 34 suited suit VBD 63372 1316 35 him -PRON- PRP 63372 1316 36 better well RBR 63372 1316 37 than than IN 63372 1316 38 this this DT 63372 1316 39 one one NN 63372 1316 40 , , , 63372 1316 41 and and CC 63372 1316 42 that that DT 63372 1316 43 comes come VBZ 63372 1316 44 to to IN 63372 1316 45 the the DT 63372 1316 46 same same JJ 63372 1316 47 thing thing NN 63372 1316 48 . . . 63372 1317 1 This this DT 63372 1317 2 statement statement NN 63372 1317 3 tells tell VBZ 63372 1317 4 us -PRON- PRP 63372 1317 5 that that IN 63372 1317 6 if if IN 63372 1317 7 the the DT 63372 1317 8 transversal transversal NN 63372 1317 9 makes make VBZ 63372 1317 10 two two CD 63372 1317 11 corresponding corresponding JJ 63372 1317 12 angles angle NNS 63372 1317 13 unequal unequal JJ 63372 1317 14 , , , 63372 1317 15 the the DT 63372 1317 16 lines line NNS 63372 1317 17 that that WDT 63372 1317 18 it -PRON- PRP 63372 1317 19 cuts cut VBZ 63372 1317 20 are be VBP 63372 1317 21 not not RB 63372 1317 22 parallel parallel JJ 63372 1317 23 and and CC 63372 1317 24 do do VBP 63372 1317 25 meet meet VB 63372 1317 26 if if IN 63372 1317 27 sufficiently sufficiently RB 63372 1317 28 prolonged prolong VBN 63372 1317 29 . . . 63372 1318 1 But but CC 63372 1318 2 wisely wisely RB 63372 1318 3 enough enough RB 63372 1318 4 , , , 63372 1318 5 he -PRON- PRP 63372 1318 6 did do VBD 63372 1318 7 not not RB 63372 1318 8 transplant transplant VB 63372 1318 9 this this DT 63372 1318 10 axiom axiom NN 63372 1318 11 , , , 63372 1318 12 once once IN 63372 1318 13 he -PRON- PRP 63372 1318 14 had have VBD 63372 1318 15 arrived arrive VBN 63372 1318 16 at at IN 63372 1318 17 it -PRON- PRP 63372 1318 18 , , , 63372 1318 19 to to IN 63372 1318 20 the the DT 63372 1318 21 beginning beginning NN 63372 1318 22 of of IN 63372 1318 23 the the DT 63372 1318 24 book book NN 63372 1318 25 where where WRB 63372 1318 26 the the DT 63372 1318 27 other other JJ 63372 1318 28 axioms axiom NNS 63372 1318 29 were be VBD 63372 1318 30 grouped group VBN 63372 1318 31 ; ; : 63372 1318 32 he -PRON- PRP 63372 1318 33 left leave VBD 63372 1318 34 it -PRON- PRP 63372 1318 35 right right RB 63372 1318 36 where where WRB 63372 1318 37 it -PRON- PRP 63372 1318 38 was be VBD 63372 1318 39 , , , 63372 1318 40 following follow VBG 63372 1318 41 the the DT 63372 1318 42 proposition proposition NN 63372 1318 43 that that IN 63372 1318 44 if if IN 63372 1318 45 the the DT 63372 1318 46 angles angle NNS 63372 1318 47 were be VBD 63372 1318 48 equal equal JJ 63372 1318 49 the the DT 63372 1318 50 lines line NNS 63372 1318 51 were be VBD 63372 1318 52 parallel parallel JJ 63372 1318 53 . . . 63372 1319 1 This this DT 63372 1319 2 of of IN 63372 1319 3 course course NN 63372 1319 4 was be VBD 63372 1319 5 so so IN 63372 1319 6 that that IN 63372 1319 7 it -PRON- PRP 63372 1319 8 might may MD 63372 1319 9 appeal appeal VB 63372 1319 10 back back RB 63372 1319 11 , , , 63372 1319 12 for for IN 63372 1319 13 its -PRON- PRP$ 63372 1319 14 claim claim NN 63372 1319 15 to to IN 63372 1319 16 obviousness obviousness NN 63372 1319 17 , , , 63372 1319 18 to to IN 63372 1319 19 its -PRON- PRP$ 63372 1319 20 demonstrated demonstrated JJ 63372 1319 21 converse converse NN 63372 1319 22 of of IN 63372 1319 23 the the DT 63372 1319 24 proposition proposition NN 63372 1319 25 . . . 63372 1320 1 Euclid Euclid NNS 63372 1320 2 must must MD 63372 1320 3 have have VB 63372 1320 4 been be VBN 63372 1320 5 dissatisfied dissatisfy VBN 63372 1320 6 with with IN 63372 1320 7 this this DT 63372 1320 8 cutting cutting NN 63372 1320 9 of of IN 63372 1320 10 the the DT 63372 1320 11 Gordian gordian JJ 63372 1320 12 knot knot NN 63372 1320 13 ; ; : 63372 1320 14 his -PRON- PRP$ 63372 1320 15 successors successor NNS 63372 1320 16 were be VBD 63372 1320 17 acutely acutely RB 63372 1320 18 so so RB 63372 1320 19 . . . 63372 1321 1 For for IN 63372 1321 2 twenty twenty CD 63372 1321 3 centuries century NNS 63372 1321 4 the the DT 63372 1321 5 parallel parallel JJ 63372 1321 6 axiom axiom NN 63372 1321 7 was be VBD 63372 1321 8 regarded regard VBN 63372 1321 9 as as IN 63372 1321 10 the the DT 63372 1321 11 one one CD 63372 1321 12 blemish blemish NN 63372 1321 13 in in IN 63372 1321 14 an an DT 63372 1321 15 otherwise otherwise RB 63372 1321 16 perfect perfect JJ 63372 1321 17 work work NN 63372 1321 18 ; ; : 63372 1321 19 every every DT 63372 1321 20 respectable respectable JJ 63372 1321 21 mathematician mathematician NN 63372 1321 22 had have VBD 63372 1321 23 his -PRON- PRP$ 63372 1321 24 shot shot NN 63372 1321 25 at at IN 63372 1321 26 removing remove VBG 63372 1321 27 the the DT 63372 1321 28 defect defect NN 63372 1321 29 by by IN 63372 1321 30 " " `` 63372 1321 31 proving prove VBG 63372 1321 32 " " '' 63372 1321 33 the the DT 63372 1321 34 objectionable objectionable JJ 63372 1321 35 axiom axiom NN 63372 1321 36 . . . 63372 1322 1 The the DT 63372 1322 2 procedure procedure NN 63372 1322 3 was be VBD 63372 1322 4 always always RB 63372 1322 5 the the DT 63372 1322 6 same same JJ 63372 1322 7 : : : 63372 1322 8 expunge expunge VB 63372 1322 9 the the DT 63372 1322 10 parallel parallel JJ 63372 1322 11 axiom axiom NN 63372 1322 12 , , , 63372 1322 13 in in IN 63372 1322 14 its -PRON- PRP$ 63372 1322 15 place place NN 63372 1322 16 write write VBP 63372 1322 17 another another DT 63372 1322 18 more more RBR 63372 1322 19 or or CC 63372 1322 20 less less RBR 63372 1322 21 " " `` 63372 1322 22 obvious obvious JJ 63372 1322 23 " " '' 63372 1322 24 assumption assumption NN 63372 1322 25 , , , 63372 1322 26 and and CC 63372 1322 27 from from IN 63372 1322 28 this this DT 63372 1322 29 derive derive VB 63372 1322 30 the the DT 63372 1322 31 parallel parallel JJ 63372 1322 32 statement statement NN 63372 1322 33 more more RBR 63372 1322 34 or or CC 63372 1322 35 less less RBR 63372 1322 36 directly directly RB 63372 1322 37 . . . 63372 1323 1 Thus thus RB 63372 1323 2 if if IN 63372 1323 3 we -PRON- PRP 63372 1323 4 may may MD 63372 1323 5 assume assume VB 63372 1323 6 that that IN 63372 1323 7 the the DT 63372 1323 8 sum sum NN 63372 1323 9 of of IN 63372 1323 10 the the DT 63372 1323 11 angles angle NNS 63372 1323 12 of of IN 63372 1323 13 a a DT 63372 1323 14 triangle triangle NN 63372 1323 15 is be VBZ 63372 1323 16 always always RB 63372 1323 17 exactly exactly RB 63372 1323 18 180 180 CD 63372 1323 19 degrees degree NNS 63372 1323 20 , , , 63372 1323 21 or or CC 63372 1323 22 that that IN 63372 1323 23 there there EX 63372 1323 24 can can MD 63372 1323 25 be be VB 63372 1323 26 drawn draw VBN 63372 1323 27 only only RB 63372 1323 28 one one CD 63372 1323 29 line line NN 63372 1323 30 through through IN 63372 1323 31 a a DT 63372 1323 32 given give VBN 63372 1323 33 point point NN 63372 1323 34 parallel parallel NN 63372 1323 35 to to IN 63372 1323 36 a a DT 63372 1323 37 given give VBN 63372 1323 38 line line NN 63372 1323 39 , , , 63372 1323 40 we -PRON- PRP 63372 1323 41 can can MD 63372 1323 42 prove prove VB 63372 1323 43 Euclid Euclid NNP 63372 1323 44 's 's POS 63372 1323 45 axiom axiom NN 63372 1323 46 . . . 63372 1324 1 Sometimes sometimes RB 63372 1324 2 the the DT 63372 1324 3 substitute substitute NN 63372 1324 4 assumption assumption NN 63372 1324 5 was be VBD 63372 1324 6 openly openly RB 63372 1324 7 made make VBN 63372 1324 8 and and CC 63372 1324 9 stated state VBN 63372 1324 10 , , , 63372 1324 11 as as IN 63372 1324 12 in in IN 63372 1324 13 the the DT 63372 1324 14 two two CD 63372 1324 15 instances instance NNS 63372 1324 16 cited cite VBD 63372 1324 17 ; ; : 63372 1324 18 as as RB 63372 1324 19 often often RB 63372 1324 20 it -PRON- PRP 63372 1324 21 was be VBD 63372 1324 22 admitted admit VBN 63372 1324 23 into into IN 63372 1324 24 the the DT 63372 1324 25 demonstration demonstration NN 63372 1324 26 implicitly implicitly RB 63372 1324 27 , , , 63372 1324 28 as as IN 63372 1324 29 when when WRB 63372 1324 30 it -PRON- PRP 63372 1324 31 is be VBZ 63372 1324 32 quietly quietly RB 63372 1324 33 assumed assume VBN 63372 1324 34 that that IN 63372 1324 35 we -PRON- PRP 63372 1324 36 can can MD 63372 1324 37 draw draw VB 63372 1324 38 a a DT 63372 1324 39 triangle triangle NN 63372 1324 40 similar similar JJ 63372 1324 41 to to IN 63372 1324 42 any any DT 63372 1324 43 given given JJ 63372 1324 44 triangle triangle NN 63372 1324 45 and and CC 63372 1324 46 with with IN 63372 1324 47 area area NN 63372 1324 48 as as RB 63372 1324 49 great great JJ 63372 1324 50 as as IN 63372 1324 51 we -PRON- PRP 63372 1324 52 please please VBP 63372 1324 53 , , , 63372 1324 54 or or CC 63372 1324 55 when when WRB 63372 1324 56 parallels parallel NNS 63372 1324 57 are be VBP 63372 1324 58 " " `` 63372 1324 59 defined define VBN 63372 1324 60 " " '' 63372 1324 61 as as RB 63372 1324 62 everywhere everywhere RB 63372 1324 63 equidistant equidistant NN 63372 1324 64 . . . 63372 1325 1 But but CC 63372 1325 2 such such JJ 63372 1325 3 " " `` 63372 1325 4 proofs proof NNS 63372 1325 5 " " '' 63372 1325 6 never never RB 63372 1325 7 satisfied satisfy VBD 63372 1325 8 anyone anyone NN 63372 1325 9 other other JJ 63372 1325 10 than than IN 63372 1325 11 the the DT 63372 1325 12 man man NN 63372 1325 13 who who WP 63372 1325 14 made make VBD 63372 1325 15 them -PRON- PRP 63372 1325 16 ; ; : 63372 1325 17 the the DT 63372 1325 18 search search NN 63372 1325 19 went go VBD 63372 1325 20 merrily merrily RB 63372 1325 21 on on RB 63372 1325 22 for for IN 63372 1325 23 a a DT 63372 1325 24 valid valid JJ 63372 1325 25 " " `` 63372 1325 26 proof proof NN 63372 1325 27 " " '' 63372 1325 28 that that WDT 63372 1325 29 should should MD 63372 1325 30 not not RB 63372 1325 31 in in IN 63372 1325 32 substance substance NN 63372 1325 33 assume assume VB 63372 1325 34 the the DT 63372 1325 35 thing thing NN 63372 1325 36 to to TO 63372 1325 37 be be VB 63372 1325 38 proved prove VBN 63372 1325 39 . . . 63372 1326 1 LOCATING locate VBG 63372 1326 2 THE the DT 63372 1326 3 DISCREPANCY DISCREPANCY NNP 63372 1326 4 Saccheri Saccheri NNP 63372 1326 5 , , , 63372 1326 6 an an DT 63372 1326 7 Italian Italian NNP 63372 1326 8 Jesuit Jesuit NNP 63372 1326 9 , , , 63372 1326 10 would would MD 63372 1326 11 have have VB 63372 1326 12 struck strike VBN 63372 1326 13 bottom bottom JJ 63372 1326 14 if if IN 63372 1326 15 he -PRON- PRP 63372 1326 16 had have VBD 63372 1326 17 had have VBN 63372 1326 18 a a DT 63372 1326 19 little little JJ 63372 1326 20 more more JJR 63372 1326 21 imagination imagination NN 63372 1326 22 . . . 63372 1327 1 He -PRON- PRP 63372 1327 2 gave give VBD 63372 1327 3 an an DT 63372 1327 4 exhaustive exhaustive JJ 63372 1327 5 reductio reductio NN 63372 1327 6 ad ad NN 63372 1327 7 absurdum absurdum NN 63372 1327 8 , , , 63372 1327 9 on on IN 63372 1327 10 the the DT 63372 1327 11 basis basis NN 63372 1327 12 of of IN 63372 1327 13 the the DT 63372 1327 14 angle angle NN 63372 1327 15 - - HYPH 63372 1327 16 sum sum NN 63372 1327 17 theorem theorem NN 63372 1327 18 . . . 63372 1328 1 This this DT 63372 1328 2 sum sum NN 63372 1328 3 must must MD 63372 1328 4 be be VB 63372 1328 5 ( ( -LRB- 63372 1328 6 a a DT 63372 1328 7 ) ) -RRB- 63372 1328 8 greater great JJR 63372 1328 9 than than IN 63372 1328 10 or or CC 63372 1328 11 ( ( -LRB- 63372 1328 12 b b LS 63372 1328 13 ) ) -RRB- 63372 1328 14 equal equal JJ 63372 1328 15 to to IN 63372 1328 16 or or CC 63372 1328 17 ( ( -LRB- 63372 1328 18 c c NN 63372 1328 19 ) ) -RRB- 63372 1328 20 less less JJR 63372 1328 21 than than IN 63372 1328 22 180 180 CD 63372 1328 23 degrees degree NNS 63372 1328 24 . . . 63372 1329 1 Saccheri Saccheri NNP 63372 1329 2 showed show VBD 63372 1329 3 that that IN 63372 1329 4 if if IN 63372 1329 5 one one CD 63372 1329 6 of of IN 63372 1329 7 these these DT 63372 1329 8 alternatives alternative NNS 63372 1329 9 occurs occur VBZ 63372 1329 10 in in IN 63372 1329 11 a a DT 63372 1329 12 single single JJ 63372 1329 13 triangle triangle NN 63372 1329 14 , , , 63372 1329 15 it -PRON- PRP 63372 1329 16 must must MD 63372 1329 17 occur occur VB 63372 1329 18 in in IN 63372 1329 19 every every DT 63372 1329 20 triangle triangle NN 63372 1329 21 . . . 63372 1330 1 The the DT 63372 1330 2 first first JJ 63372 1330 3 case case NN 63372 1330 4 gave give VBD 63372 1330 5 little little JJ 63372 1330 6 trouble trouble NN 63372 1330 7 ; ; : 63372 1330 8 admitting admit VBG 63372 1330 9 the the DT 63372 1330 10 possibility possibility NN 63372 1330 11 of of IN 63372 1330 12 superposing superposing NN 63372 1330 13 in in IN 63372 1330 14 the the DT 63372 1330 15 special special JJ 63372 1330 16 manner manner NN 63372 1330 17 mentioned mention VBN 63372 1330 18 above above RB 63372 1330 19 , , , 63372 1330 20 which which WDT 63372 1330 21 he -PRON- PRP 63372 1330 22 did do VBD 63372 1330 23 implicitly implicitly RB 63372 1330 24 , , , 63372 1330 25 he -PRON- PRP 63372 1330 26 showed show VBD 63372 1330 27 that that IN 63372 1330 28 this this DT 63372 1330 29 " " `` 63372 1330 30 obtuse obtuse NN 63372 1330 31 - - HYPH 63372 1330 32 angled angle VBN 63372 1330 33 hypothesis hypothesis NN 63372 1330 34 " " '' 63372 1330 35 contradicted contradict VBD 63372 1330 36 itself -PRON- PRP 63372 1330 37 . . . 63372 1331 1 He -PRON- PRP 63372 1331 2 pursued pursue VBD 63372 1331 3 the the DT 63372 1331 4 " " `` 63372 1331 5 acute acute RB 63372 1331 6 - - HYPH 63372 1331 7 angled angled JJ 63372 1331 8 hypothesis hypothesis NN 63372 1331 9 " " '' 63372 1331 10 for for IN 63372 1331 11 a a DT 63372 1331 12 long long JJ 63372 1331 13 time time NN 63372 1331 14 before before IN 63372 1331 15 he -PRON- PRP 63372 1331 16 satisfied satisfy VBD 63372 1331 17 himself -PRON- PRP 63372 1331 18 that that IN 63372 1331 19 he -PRON- PRP 63372 1331 20 had have VBD 63372 1331 21 caught catch VBN 63372 1331 22 it -PRON- PRP 63372 1331 23 , , , 63372 1331 24 too too RB 63372 1331 25 , , , 63372 1331 26 in in IN 63372 1331 27 an an DT 63372 1331 28 inconsistency inconsistency NN 63372 1331 29 . . . 63372 1332 1 This this DT 63372 1332 2 left leave VBD 63372 1332 3 only only RB 63372 1332 4 the the DT 63372 1332 5 " " `` 63372 1332 6 right right RB 63372 1332 7 - - HYPH 63372 1332 8 angled angle VBN 63372 1332 9 hypothesis hypothesis NN 63372 1332 10 , , , 63372 1332 11 " " '' 63372 1332 12 proving prove VBG 63372 1332 13 the the DT 63372 1332 14 Euclidean euclidean JJ 63372 1332 15 angle angle NN 63372 1332 16 - - HYPH 63372 1332 17 sum sum NN 63372 1332 18 theory theory NN 63372 1332 19 and and CC 63372 1332 20 through through IN 63372 1332 21 it -PRON- PRP 63372 1332 22 the the DT 63372 1332 23 parallel parallel JJ 63372 1332 24 postulate postulate NN 63372 1332 25 . . . 63372 1333 1 But but CC 63372 1333 2 Saccheri Saccheri NNP 63372 1333 3 was be VBD 63372 1333 4 wrong wrong JJ 63372 1333 5 : : : 63372 1333 6 he -PRON- PRP 63372 1333 7 had have VBD 63372 1333 8 found find VBN 63372 1333 9 no no DT 63372 1333 10 actual actual JJ 63372 1333 11 contradiction contradiction NN 63372 1333 12 in in IN 63372 1333 13 the the DT 63372 1333 14 acute acute RB 63372 1333 15 - - HYPH 63372 1333 16 angled angle VBN 63372 1333 17 hypothesis hypothesis NN 63372 1333 18 -- -- : 63372 1333 19 for for IN 63372 1333 20 none none NN 63372 1333 21 exists exist VBZ 63372 1333 22 therein therein RB 63372 1333 23 . . . 63372 1334 1 The the DT 63372 1334 2 full full JJ 63372 1334 3 facts fact NNS 63372 1334 4 were be VBD 63372 1334 5 probably probably RB 63372 1334 6 first first RB 63372 1334 7 known know VBN 63372 1334 8 to to IN 63372 1334 9 Gauss Gauss NNP 63372 1334 10 , , , 63372 1334 11 who who WP 63372 1334 12 had have VBD 63372 1334 13 a a DT 63372 1334 14 finger finger NN 63372 1334 15 in in IN 63372 1334 16 every every DT 63372 1334 17 mathematical mathematical JJ 63372 1334 18 pie pie NN 63372 1334 19 that that WDT 63372 1334 20 had have VBD 63372 1334 21 to to TO 63372 1334 22 do do VB 63372 1334 23 with with IN 63372 1334 24 the the DT 63372 1334 25 transition transition NN 63372 1334 26 to to IN 63372 1334 27 modern modern JJ 63372 1334 28 times time NNS 63372 1334 29 . . . 63372 1335 1 They -PRON- PRP 63372 1335 2 were be VBD 63372 1335 3 first first RB 63372 1335 4 published publish VBN 63372 1335 5 by by IN 63372 1335 6 Lobatchewsky Lobatchewsky NNP 63372 1335 7 , , , 63372 1335 8 the the DT 63372 1335 9 Russian Russian NNP 63372 1335 10 , , , 63372 1335 11 who who WP 63372 1335 12 anticipated anticipate VBD 63372 1335 13 the the DT 63372 1335 14 Hungarian hungarian JJ 63372 1335 15 John John NNP 63372 1335 16 Bolyai Bolyai NNP 63372 1335 17 by by IN 63372 1335 18 a a DT 63372 1335 19 narrow narrow JJ 63372 1335 20 margin margin NN 63372 1335 21 . . . 63372 1336 1 All all DT 63372 1336 2 three three CD 63372 1336 3 worked work VBD 63372 1336 4 independently independently RB 63372 1336 5 of of IN 63372 1336 6 Saccheri Saccheri NNP 63372 1336 7 , , , 63372 1336 8 whose whose WP$ 63372 1336 9 book book NN 63372 1336 10 , , , 63372 1336 11 though though IN 63372 1336 12 theoretically theoretically RB 63372 1336 13 available available JJ 63372 1336 14 in in IN 63372 1336 15 Italian italian JJ 63372 1336 16 libraries library NNS 63372 1336 17 , , , 63372 1336 18 was be VBD 63372 1336 19 actually actually RB 63372 1336 20 lost lose VBN 63372 1336 21 to to IN 63372 1336 22 sight sight NN 63372 1336 23 and and CC 63372 1336 24 had have VBD 63372 1336 25 to to TO 63372 1336 26 be be VB 63372 1336 27 rediscovered rediscover VBN 63372 1336 28 in in IN 63372 1336 29 recent recent JJ 63372 1336 30 years year NNS 63372 1336 31 . . . 63372 1337 1 Like like IN 63372 1337 2 Saccheri Saccheri NNP 63372 1337 3 , , , 63372 1337 4 Lobatchewsky Lobatchewsky NNP 63372 1337 5 investigated investigate VBD 63372 1337 6 alternative alternative JJ 63372 1337 7 possibilities possibility NNS 63372 1337 8 . . . 63372 1338 1 But but CC 63372 1338 2 he -PRON- PRP 63372 1338 3 chose choose VBD 63372 1338 4 another another DT 63372 1338 5 point point NN 63372 1338 6 of of IN 63372 1338 7 attack attack NN 63372 1338 8 : : : 63372 1338 9 through through IN 63372 1338 10 a a DT 63372 1338 11 given give VBN 63372 1338 12 point point NN 63372 1338 13 it -PRON- PRP 63372 1338 14 must must MD 63372 1338 15 be be VB 63372 1338 16 possible possible JJ 63372 1338 17 to to TO 63372 1338 18 draw draw VB 63372 1338 19 , , , 63372 1338 20 in in IN 63372 1338 21 the the DT 63372 1338 22 same same JJ 63372 1338 23 plane plane NN 63372 1338 24 with with IN 63372 1338 25 a a DT 63372 1338 26 given give VBN 63372 1338 27 line line NN 63372 1338 28 ( ( -LRB- 63372 1338 29 a a LS 63372 1338 30 ) ) -RRB- 63372 1338 31 no no DT 63372 1338 32 lines line NNS 63372 1338 33 or or CC 63372 1338 34 ( ( -LRB- 63372 1338 35 b b NN 63372 1338 36 ) ) -RRB- 63372 1338 37 one one CD 63372 1338 38 line line NN 63372 1338 39 or or CC 63372 1338 40 ( ( -LRB- 63372 1338 41 c c NN 63372 1338 42 ) ) -RRB- 63372 1338 43 a a DT 63372 1338 44 plurality plurality NN 63372 1338 45 of of IN 63372 1338 46 lines line NNS 63372 1338 47 , , , 63372 1338 48 which which WDT 63372 1338 49 shall shall MD 63372 1338 50 not not RB 63372 1338 51 meet meet VB 63372 1338 52 the the DT 63372 1338 53 given give VBN 63372 1338 54 line line NN 63372 1338 55 . . . 63372 1339 1 The the DT 63372 1339 2 word word NN 63372 1339 3 parallel parallel NN 63372 1339 4 is be VBZ 63372 1339 5 defined define VBN 63372 1339 6 only only RB 63372 1339 7 in in IN 63372 1339 8 terms term NNS 63372 1339 9 of of IN 63372 1339 10 the the DT 63372 1339 11 second second JJ 63372 1339 12 of of IN 63372 1339 13 these these DT 63372 1339 14 hypotheses hypothesis NNS 63372 1339 15 , , , 63372 1339 16 so so IN 63372 1339 17 we -PRON- PRP 63372 1339 18 avoid avoid VBP 63372 1339 19 it -PRON- PRP 63372 1339 20 here here RB 63372 1339 21 . . . 63372 1340 1 These these DT 63372 1340 2 three three CD 63372 1340 3 cases case NNS 63372 1340 4 correspond correspond VBP 63372 1340 5 , , , 63372 1340 6 respectively respectively RB 63372 1340 7 , , , 63372 1340 8 to to IN 63372 1340 9 those those DT 63372 1340 10 of of IN 63372 1340 11 Saccheri Saccheri NNP 63372 1340 12 . . . 63372 1341 1 The the DT 63372 1341 2 first first JJ 63372 1341 3 case case NN 63372 1341 4 Lobatchewsky Lobatchewsky NNP 63372 1341 5 ruled rule VBD 63372 1341 6 out out RP 63372 1341 7 just just RB 63372 1341 8 as as IN 63372 1341 9 did do VBD 63372 1341 10 Saccheri Saccheri NNP 63372 1341 11 , , , 63372 1341 12 but but CC 63372 1341 13 accepting accept VBG 63372 1341 14 consciously consciously RB 63372 1341 15 the the DT 63372 1341 16 proviso proviso NN 63372 1341 17 attached attach VBN 63372 1341 18 to to IN 63372 1341 19 its -PRON- PRP$ 63372 1341 20 elimination elimination NN 63372 1341 21 ; ; : 63372 1341 22 the the DT 63372 1341 23 third third JJ 63372 1341 24 he -PRON- PRP 63372 1341 25 could could MD 63372 1341 26 not not RB 63372 1341 27 rule rule VB 63372 1341 28 out out RP 63372 1341 29 . . . 63372 1342 1 He -PRON- PRP 63372 1342 2 developed develop VBD 63372 1342 3 the the DT 63372 1342 4 consequences consequence NNS 63372 1342 5 of of IN 63372 1342 6 this this DT 63372 1342 7 hypothesis hypothesis NN 63372 1342 8 as as RB 63372 1342 9 far far RB 63372 1342 10 as as IN 63372 1342 11 Euclid Euclid NNP 63372 1342 12 develops develop VBZ 63372 1342 13 those those DT 63372 1342 14 of of IN 63372 1342 15 the the DT 63372 1342 16 second second JJ 63372 1342 17 one one NN 63372 1342 18 , , , 63372 1342 19 sketching sketch VBG 63372 1342 20 in in IN 63372 1342 21 a a DT 63372 1342 22 full full JJ 63372 1342 23 outline outline NN 63372 1342 24 for for IN 63372 1342 25 a a DT 63372 1342 26 system system NN 63372 1342 27 of of IN 63372 1342 28 geometry geometry NN 63372 1342 29 and and CC 63372 1342 30 trigonometry trigonometry NN 63372 1342 31 based base VBN 63372 1342 32 on on IN 63372 1342 33 a a DT 63372 1342 34 plurality plurality NN 63372 1342 35 of of IN 63372 1342 36 " " `` 63372 1342 37 non non NNS 63372 1342 38 - - NNS 63372 1342 39 cutters cutter NNS 63372 1342 40 . . . 63372 1342 41 " " '' 63372 1343 1 This this DT 63372 1343 2 geometry geometry NN 63372 1343 3 constitutes constitute VBZ 63372 1343 4 a a DT 63372 1343 5 coherent coherent JJ 63372 1343 6 whole whole NN 63372 1343 7 , , , 63372 1343 8 without without IN 63372 1343 9 a a DT 63372 1343 10 logical logical JJ 63372 1343 11 flaw flaw NN 63372 1343 12 . . . 63372 1344 1 This this DT 63372 1344 2 made make VBD 63372 1344 3 it -PRON- PRP 63372 1344 4 plain plain JJ 63372 1344 5 what what WP 63372 1344 6 was be VBD 63372 1344 7 the the DT 63372 1344 8 matter matter NN 63372 1344 9 with with IN 63372 1344 10 Euclid Euclid NNP 63372 1344 11 's 's POS 63372 1344 12 parallel parallel JJ 63372 1344 13 axiom axiom NN 63372 1344 14 . . . 63372 1345 1 Nobody nobody NN 63372 1345 2 could could MD 63372 1345 3 prove prove VB 63372 1345 4 it -PRON- PRP 63372 1345 5 from from IN 63372 1345 6 his -PRON- PRP$ 63372 1345 7 other other JJ 63372 1345 8 assumptions assumption NNS 63372 1345 9 because because IN 63372 1345 10 it -PRON- PRP 63372 1345 11 is be VBZ 63372 1345 12 not not RB 63372 1345 13 a a DT 63372 1345 14 consequence consequence NN 63372 1345 15 of of IN 63372 1345 16 these these DT 63372 1345 17 . . . 63372 1346 1 True true JJ 63372 1346 2 or or CC 63372 1346 3 false false JJ 63372 1346 4 , , , 63372 1346 5 it -PRON- PRP 63372 1346 6 is be VBZ 63372 1346 7 independent independent JJ 63372 1346 8 of of IN 63372 1346 9 them -PRON- PRP 63372 1346 10 . . . 63372 1347 1 Trinity Trinity NNP 63372 1347 2 Church Church NNP 63372 1347 3 is be VBZ 63372 1347 4 in in IN 63372 1347 5 New New NNP 63372 1347 6 York York NNP 63372 1347 7 , , , 63372 1347 8 Faneuil Faneuil NNP 63372 1347 9 Hall Hall NNP 63372 1347 10 is be VBZ 63372 1347 11 in in IN 63372 1347 12 Boston Boston NNP 63372 1347 13 , , , 63372 1347 14 but but CC 63372 1347 15 Faneuil Faneuil NNP 63372 1347 16 Hall Hall NNP 63372 1347 17 is be VBZ 63372 1347 18 not not RB 63372 1347 19 in in IN 63372 1347 20 Boston Boston NNP 63372 1347 21 because because IN 63372 1347 22 Trinity Trinity NNP 63372 1347 23 is be VBZ 63372 1347 24 in in IN 63372 1347 25 New New NNP 63372 1347 26 York York NNP 63372 1347 27 ; ; : 63372 1347 28 and and CC 63372 1347 29 we -PRON- PRP 63372 1347 30 could could MD 63372 1347 31 not not RB 63372 1347 32 prove prove VB 63372 1347 33 that that IN 63372 1347 34 Faneuil Faneuil NNP 63372 1347 35 Hall Hall NNP 63372 1347 36 was be VBD 63372 1347 37 in in IN 63372 1347 38 Boston Boston NNP 63372 1347 39 if if IN 63372 1347 40 we -PRON- PRP 63372 1347 41 knew know VBD 63372 1347 42 nothing nothing NN 63372 1347 43 about about IN 63372 1347 44 America America NNP 63372 1347 45 save save VBP 63372 1347 46 that that IN 63372 1347 47 Trinity Trinity NNP 63372 1347 48 is be VBZ 63372 1347 49 in in IN 63372 1347 50 New New NNP 63372 1347 51 York York NNP 63372 1347 52 . . . 63372 1348 1 The the DT 63372 1348 2 mathematicians mathematician NNS 63372 1348 3 of of IN 63372 1348 4 2,000 2,000 CD 63372 1348 5 years year NNS 63372 1348 6 had have VBD 63372 1348 7 been be VBN 63372 1348 8 pursuing pursue VBG 63372 1348 9 , , , 63372 1348 10 on on IN 63372 1348 11 a a DT 63372 1348 12 gigantic gigantic JJ 63372 1348 13 scale scale NN 63372 1348 14 , , , 63372 1348 15 a a DT 63372 1348 16 delusion delusion NN 63372 1348 17 of of IN 63372 1348 18 post post FW 63372 1348 19 hoc hoc FW 63372 1348 20 , , , 63372 1348 21 ergo ergo NNP 63372 1348 22 propter propter NNP 63372 1348 23 hoc hoc NNP 63372 1348 24 . . . 63372 1349 1 WHAT what WP 63372 1349 2 THE the DT 63372 1349 3 POSTULATE POSTULATE NNP 63372 1349 4 REALLY really RB 63372 1349 5 DOES do MD 63372 1349 6 Moreover moreover RB 63372 1349 7 , , , 63372 1349 8 in in IN 63372 1349 9 the the DT 63372 1349 10 absence absence NN 63372 1349 11 of of IN 63372 1349 12 an an DT 63372 1349 13 assumption assumption NN 63372 1349 14 covering cover VBG 63372 1349 15 the the DT 63372 1349 16 ground ground NN 63372 1349 17 , , , 63372 1349 18 we -PRON- PRP 63372 1349 19 shall shall MD 63372 1349 20 not not RB 63372 1349 21 know know VB 63372 1349 22 which which WDT 63372 1349 23 of of IN 63372 1349 24 the the DT 63372 1349 25 alternatives alternative NNS 63372 1349 26 ( ( -LRB- 63372 1349 27 a a DT 63372 1349 28 ) ) -RRB- 63372 1349 29 , , , 63372 1349 30 ( ( -LRB- 63372 1349 31 b b NN 63372 1349 32 ) ) -RRB- 63372 1349 33 , , , 63372 1349 34 ( ( -LRB- 63372 1349 35 c c NN 63372 1349 36 ) ) -RRB- 63372 1349 37 holds hold VBZ 63372 1349 38 . . . 63372 1350 1 But but CC 63372 1350 2 when when WRB 63372 1350 3 one one PRP 63372 1350 4 holds hold VBZ 63372 1350 5 in in IN 63372 1350 6 a a DT 63372 1350 7 single single JJ 63372 1350 8 case case NN 63372 1350 9 it -PRON- PRP 63372 1350 10 holds hold VBZ 63372 1350 11 permanently permanently RB 63372 1350 12 , , , 63372 1350 13 as as IN 63372 1350 14 Saccheri Saccheri NNP 63372 1350 15 and and CC 63372 1350 16 Lobatchewsky Lobatchewsky NNP 63372 1350 17 both both DT 63372 1350 18 showed show VBD 63372 1350 19 . . . 63372 1351 1 So so RB 63372 1351 2 we -PRON- PRP 63372 1351 3 can can MD 63372 1351 4 not not RB 63372 1351 5 proceed proceed VB 63372 1351 6 on on IN 63372 1351 7 this this DT 63372 1351 8 indefinite indefinite JJ 63372 1351 9 basis basis NN 63372 1351 10 ; ; : 63372 1351 11 we -PRON- PRP 63372 1351 12 must must MD 63372 1351 13 know know VB 63372 1351 14 which which WDT 63372 1351 15 one one NN 63372 1351 16 is be VBZ 63372 1351 17 to to TO 63372 1351 18 hold hold VB 63372 1351 19 . . . 63372 1352 1 Without without IN 63372 1352 2 the the DT 63372 1352 3 parallel parallel JJ 63372 1352 4 postulate postulate NN 63372 1352 5 or or CC 63372 1352 6 a a DT 63372 1352 7 substitute substitute NN 63372 1352 8 therefor therefor IN 63372 1352 9 that that DT 63372 1352 10 shall shall MD 63372 1352 11 tell tell VB 63372 1352 12 us -PRON- PRP 63372 1352 13 the the DT 63372 1352 14 same same JJ 63372 1352 15 thing thing NN 63372 1352 16 or or CC 63372 1352 17 tell tell VB 63372 1352 18 us -PRON- PRP 63372 1352 19 something something NN 63372 1352 20 different different JJ 63372 1352 21 , , , 63372 1352 22 we -PRON- PRP 63372 1352 23 have have VBP 63372 1352 24 not not RB 63372 1352 25 got get VBN 63372 1352 26 a a DT 63372 1352 27 categorical categorical JJ 63372 1352 28 set set NN 63372 1352 29 of of IN 63372 1352 30 assumptions assumption NNS 63372 1352 31 -- -- : 63372 1352 32 we -PRON- PRP 63372 1352 33 can can MD 63372 1352 34 not not RB 63372 1352 35 build build VB 63372 1352 36 a a DT 63372 1352 37 geometry geometry NN 63372 1352 38 at at RB 63372 1352 39 all all RB 63372 1352 40 . . . 63372 1353 1 That that DT 63372 1353 2 is be VBZ 63372 1353 3 why why WRB 63372 1353 4 Euclid Euclid NNP 63372 1353 5 had have VBD 63372 1353 6 to to TO 63372 1353 7 have have VB 63372 1353 8 his -PRON- PRP$ 63372 1353 9 parallel parallel JJ 63372 1353 10 postulate postulate NN 63372 1353 11 before before IN 63372 1353 12 he -PRON- PRP 63372 1353 13 could could MD 63372 1353 14 proceed proceed VB 63372 1353 15 . . . 63372 1354 1 That that DT 63372 1354 2 is be VBZ 63372 1354 3 why why WRB 63372 1354 4 his -PRON- PRP$ 63372 1354 5 successors successor NNS 63372 1354 6 had have VBD 63372 1354 7 to to TO 63372 1354 8 have have VB 63372 1354 9 an an DT 63372 1354 10 assumption assumption NN 63372 1354 11 equivalent equivalent JJ 63372 1354 12 to to IN 63372 1354 13 his -PRON- PRP 63372 1354 14 . . . 63372 1355 1 The the DT 63372 1355 2 reason reason NN 63372 1355 3 why why WRB 63372 1355 4 it -PRON- PRP 63372 1355 5 took take VBD 63372 1355 6 so so RB 63372 1355 7 long long RB 63372 1355 8 for for IN 63372 1355 9 this this DT 63372 1355 10 to to TO 63372 1355 11 percolate percolate VB 63372 1355 12 into into IN 63372 1355 13 the the DT 63372 1355 14 understanding understanding NN 63372 1355 15 of of IN 63372 1355 16 the the DT 63372 1355 17 mathematicians mathematician NNS 63372 1355 18 was be VBD 63372 1355 19 that that IN 63372 1355 20 they -PRON- PRP 63372 1355 21 were be VBD 63372 1355 22 thinking think VBG 63372 1355 23 , , , 63372 1355 24 not not RB 63372 1355 25 in in IN 63372 1355 26 terms term NNS 63372 1355 27 of of IN 63372 1355 28 the the DT 63372 1355 29 modern modern JJ 63372 1355 30 geometry geometry NN 63372 1355 31 and and CC 63372 1355 32 about about IN 63372 1355 33 undefined undefined JJ 63372 1355 34 elements element NNS 63372 1355 35 ; ; : 63372 1355 36 but but CC 63372 1355 37 in in IN 63372 1355 38 terms term NNS 63372 1355 39 of of IN 63372 1355 40 the the DT 63372 1355 41 old old JJ 63372 1355 42 geometry geometry NN 63372 1355 43 and and CC 63372 1355 44 about about IN 63372 1355 45 strictly strictly RB 63372 1355 46 defined define VBN 63372 1355 47 and and CC 63372 1355 48 circumscribed circumscribe VBN 63372 1355 49 elements element NNS 63372 1355 50 . . . 63372 1356 1 If if IN 63372 1356 2 we -PRON- PRP 63372 1356 3 understand understand VBP 63372 1356 4 what what WP 63372 1356 5 is be VBZ 63372 1356 6 meant mean VBN 63372 1356 7 by by IN 63372 1356 8 Euclidean euclidean JJ 63372 1356 9 line line NN 63372 1356 10 and and CC 63372 1356 11 plane plane NN 63372 1356 12 , , , 63372 1356 13 of of IN 63372 1356 14 course course NN 63372 1356 15 the the DT 63372 1356 16 parallel parallel JJ 63372 1356 17 postulate postulate NN 63372 1356 18 , , , 63372 1356 19 to to TO 63372 1356 20 use use VB 63372 1356 21 the the DT 63372 1356 22 old old JJ 63372 1356 23 geometer geometer NN 63372 1356 24 's 's POS 63372 1356 25 word word NN 63372 1356 26 , , , 63372 1356 27 is be VBZ 63372 1356 28 true true JJ 63372 1356 29 -- -- : 63372 1356 30 of of IN 63372 1356 31 course course NN 63372 1356 32 , , , 63372 1356 33 to to TO 63372 1356 34 adopt adopt VB 63372 1356 35 the the DT 63372 1356 36 modern modern JJ 63372 1356 37 viewpoint viewpoint NN 63372 1356 38 , , , 63372 1356 39 if if IN 63372 1356 40 we -PRON- PRP 63372 1356 41 agree agree VBP 63372 1356 42 to to TO 63372 1356 43 employ employ VB 63372 1356 44 an an DT 63372 1356 45 element element NN 63372 1356 46 to to TO 63372 1356 47 which which WDT 63372 1356 48 that that DT 63372 1356 49 assumption assumption NN 63372 1356 50 applies apply VBZ 63372 1356 51 , , , 63372 1356 52 the the DT 63372 1356 53 assumption assumption NN 63372 1356 54 is be VBZ 63372 1356 55 realized realize VBN 63372 1356 56 . . . 63372 1357 1 The the DT 63372 1357 2 very very JJ 63372 1357 3 fact fact NN 63372 1357 4 of of IN 63372 1357 5 accepting accept VBG 63372 1357 6 the the DT 63372 1357 7 " " `` 63372 1357 8 straight straight JJ 63372 1357 9 " " '' 63372 1357 10 line line NN 63372 1357 11 and and CC 63372 1357 12 the the DT 63372 1357 13 " " `` 63372 1357 14 flat flat JJ 63372 1357 15 " " '' 63372 1357 16 plane plane NN 63372 1357 17 of of IN 63372 1357 18 Euclid Euclid NNP 63372 1357 19 constitutes constitute VBZ 63372 1357 20 acceptance acceptance NN 63372 1357 21 of of IN 63372 1357 22 his -PRON- PRP$ 63372 1357 23 parallel parallel JJ 63372 1357 24 postulate postulate NN 63372 1357 25 -- -- : 63372 1357 26 the the DT 63372 1357 27 only only JJ 63372 1357 28 thing thing NN 63372 1357 29 that that WDT 63372 1357 30 can can MD 63372 1357 31 separate separate VB 63372 1357 32 his -PRON- PRP$ 63372 1357 33 geometry geometry NN 63372 1357 34 from from IN 63372 1357 35 other other JJ 63372 1357 36 geometries geometry NNS 63372 1357 37 . . . 63372 1358 1 But but CC 63372 1358 2 of of IN 63372 1358 3 course course NN 63372 1358 4 we -PRON- PRP 63372 1358 5 ca can MD 63372 1358 6 n't not RB 63372 1358 7 prove prove VB 63372 1358 8 it -PRON- PRP 63372 1358 9 ; ; : 63372 1358 10 the the DT 63372 1358 11 prior prior JJ 63372 1358 12 postulates postulate NNS 63372 1358 13 which which WDT 63372 1358 14 we -PRON- PRP 63372 1358 15 would would MD 63372 1358 16 have have VB 63372 1358 17 to to TO 63372 1358 18 use use VB 63372 1358 19 in in IN 63372 1358 20 such such PDT 63372 1358 21 an an DT 63372 1358 22 attempt attempt NN 63372 1358 23 apply apply VB 63372 1358 24 where where WRB 63372 1358 25 it -PRON- PRP 63372 1358 26 does do VBZ 63372 1358 27 not not RB 63372 1358 28 apply apply VB 63372 1358 29 , , , 63372 1358 30 and and CC 63372 1358 31 hence hence RB 63372 1358 32 it -PRON- PRP 63372 1358 33 can can MD 63372 1358 34 not not RB 63372 1358 35 possibly possibly RB 63372 1358 36 be be VB 63372 1358 37 consequences consequence NNS 63372 1358 38 of of IN 63372 1358 39 . . . 63372 1359 1 To to IN 63372 1359 2 all all PDT 63372 1359 3 this this DT 63372 1359 4 the the DT 63372 1359 5 classical classical JJ 63372 1359 6 Euclidean euclidean JJ 63372 1359 7 rejoins rejoin NNS 63372 1359 8 that that IN 63372 1359 9 we -PRON- PRP 63372 1359 10 seem seem VBP 63372 1359 11 to to TO 63372 1359 12 have have VB 63372 1359 13 in in IN 63372 1359 14 mind mind NN 63372 1359 15 elements element NNS 63372 1359 16 of of IN 63372 1359 17 some some DT 63372 1359 18 sort sort NN 63372 1359 19 to to IN 63372 1359 20 which which WDT 63372 1359 21 , , , 63372 1359 22 with with IN 63372 1359 23 one one CD 63372 1359 24 reservation reservation NN 63372 1359 25 , , , 63372 1359 26 his -PRON- PRP$ 63372 1359 27 postulates postulates FW 63372 1359 28 apply apply VBP 63372 1359 29 . . . 63372 1360 1 He -PRON- PRP 63372 1360 2 wants want VBZ 63372 1360 3 to to TO 63372 1360 4 know know VB 63372 1360 5 what what WP 63372 1360 6 these these DT 63372 1360 7 elements element NNS 63372 1360 8 look look VBP 63372 1360 9 like like IN 63372 1360 10 . . . 63372 1361 1 We -PRON- PRP 63372 1361 2 can can MD 63372 1361 3 , , , 63372 1361 4 and and CC 63372 1361 5 must must MD 63372 1361 6 , , , 63372 1361 7 produce produce VB 63372 1361 8 them -PRON- PRP 63372 1361 9 -- -- : 63372 1361 10 else else RB 63372 1361 11 our -PRON- PRP$ 63372 1361 12 talk talk NN 63372 1361 13 about about IN 63372 1361 14 generality generality NN 63372 1361 15 is be VBZ 63372 1361 16 mere mere JJ 63372 1361 17 drivel drivel NN 63372 1361 18 . . . 63372 1362 1 But but CC 63372 1362 2 we -PRON- PRP 63372 1362 3 must must MD 63372 1362 4 take take VB 63372 1362 5 care care NN 63372 1362 6 that that IN 63372 1362 7 the the DT 63372 1362 8 Euclidean euclidean JJ 63372 1362 9 geometer geometer NN 63372 1362 10 does do VBZ 63372 1362 11 not not RB 63372 1362 12 try try VB 63372 1362 13 to to TO 63372 1362 14 apply apply VB 63372 1362 15 to to IN 63372 1362 16 our -PRON- PRP$ 63372 1362 17 elements element NNS 63372 1362 18 the the DT 63372 1362 19 notions notion NNS 63372 1362 20 of of IN 63372 1362 21 straightness straightness NN 63372 1362 22 and and CC 63372 1362 23 flatness flatness NN 63372 1362 24 which which WDT 63372 1362 25 inhere inhere VBP 63372 1362 26 in in IN 63372 1362 27 the the DT 63372 1362 28 parallel parallel JJ 63372 1362 29 postulate postulate NN 63372 1362 30 . . . 63372 1363 1 We -PRON- PRP 63372 1363 2 can can MD 63372 1363 3 not not RB 63372 1363 4 satisfy satisfy VB 63372 1363 5 and and CC 63372 1363 6 defy defy VB 63372 1363 7 that that DT 63372 1363 8 postulate postulate NN 63372 1363 9 at at IN 63372 1363 10 the the DT 63372 1363 11 same same JJ 63372 1363 12 time time NN 63372 1363 13 . . . 63372 1364 1 If if IN 63372 1364 2 we -PRON- PRP 63372 1364 3 do do VBP 63372 1364 4 not not RB 63372 1364 5 insist insist VB 63372 1364 6 on on IN 63372 1364 7 this this DT 63372 1364 8 point point NN 63372 1364 9 , , , 63372 1364 10 we -PRON- PRP 63372 1364 11 shall shall MD 63372 1364 12 find find VB 63372 1364 13 that that IN 63372 1364 14 we -PRON- PRP 63372 1364 15 are be VBP 63372 1364 16 reading read VBG 63372 1364 17 non non JJ 63372 1364 18 - - JJ 63372 1364 19 Euclidean euclidean JJ 63372 1364 20 properties property NNS 63372 1364 21 into into IN 63372 1364 22 Euclidean euclidean JJ 63372 1364 23 geometry geometry NN 63372 1364 24 , , , 63372 1364 25 and and CC 63372 1364 26 interpreting interpret VBG 63372 1364 27 the the DT 63372 1364 28 elements element NNS 63372 1364 29 of of IN 63372 1364 30 the the DT 63372 1364 31 latter latter JJ 63372 1364 32 as as IN 63372 1364 33 straight straight JJ 63372 1364 34 lines line NNS 63372 1364 35 that that WDT 63372 1364 36 are be VBP 63372 1364 37 not not RB 63372 1364 38 straight straight JJ 63372 1364 39 , , , 63372 1364 40 flat flat JJ 63372 1364 41 planes plane NNS 63372 1364 42 that that WDT 63372 1364 43 are be VBP 63372 1364 44 not not RB 63372 1364 45 flat flat JJ 63372 1364 46 . . . 63372 1365 1 It -PRON- PRP 63372 1365 2 is be VBZ 63372 1365 3 not not RB 63372 1365 4 the the DT 63372 1365 5 mission mission NN 63372 1365 6 of of IN 63372 1365 7 non non JJ 63372 1365 8 - - JJ 63372 1365 9 Euclidean euclidean JJ 63372 1365 10 geometry geometry NN 63372 1365 11 thus thus RB 63372 1365 12 to to TO 63372 1365 13 deny deny VB 63372 1365 14 the the DT 63372 1365 15 possibility possibility NN 63372 1365 16 of of IN 63372 1365 17 Euclidean Euclidean NNP 63372 1365 18 geometry geometry NN 63372 1365 19 ; ; : 63372 1365 20 it -PRON- PRP 63372 1365 21 merely merely RB 63372 1365 22 demands demand VBZ 63372 1365 23 a a DT 63372 1365 24 place place NN 63372 1365 25 of of IN 63372 1365 26 equal equal JJ 63372 1365 27 honor honor NN 63372 1365 28 . . . 63372 1366 1 THE the DT 63372 1366 2 GEOMETRY GEOMETRY NNP 63372 1366 3 OF of IN 63372 1366 4 SURFACES SURFACES NNP 63372 1366 5 Let let VB 63372 1366 6 us -PRON- PRP 63372 1366 7 ask ask VB 63372 1366 8 the the DT 63372 1366 9 Euclidean euclidean JJ 63372 1366 10 geometer geometer NN 63372 1366 11 whether whether IN 63372 1366 12 he -PRON- PRP 63372 1366 13 can can MD 63372 1366 14 recognize recognize VB 63372 1366 15 his -PRON- PRP$ 63372 1366 16 plane plane NN 63372 1366 17 after after IN 63372 1366 18 we -PRON- PRP 63372 1366 19 have have VBP 63372 1366 20 crumpled crumple VBN 63372 1366 21 it -PRON- PRP 63372 1366 22 up up RP 63372 1366 23 like like IN 63372 1366 24 a a DT 63372 1366 25 piece piece NN 63372 1366 26 of of IN 63372 1366 27 paper paper NN 63372 1366 28 en en IN 63372 1366 29 route route NN 63372 1366 30 to to IN 63372 1366 31 the the DT 63372 1366 32 waste waste NN 63372 1366 33 basket basket NN 63372 1366 34 . . . 63372 1367 1 He -PRON- PRP 63372 1367 2 will will MD 63372 1367 3 hesitate hesitate VB 63372 1367 4 only only RB 63372 1367 5 long long RB 63372 1367 6 enough enough RB 63372 1367 7 to to TO 63372 1367 8 recall recall VB 63372 1367 9 that that IN 63372 1367 10 in in IN 63372 1367 11 the the DT 63372 1367 12 special special JJ 63372 1367 13 case case NN 63372 1367 14 of of IN 63372 1367 15 superposition superposition NN 63372 1367 16 he -PRON- PRP 63372 1367 17 has have VBZ 63372 1367 18 reserved reserve VBN 63372 1367 19 for for IN 63372 1367 20 himself -PRON- PRP 63372 1367 21 the the DT 63372 1367 22 privilege privilege NN 63372 1367 23 of of IN 63372 1367 24 deforming deform VBG 63372 1367 25 his -PRON- PRP$ 63372 1367 26 own own JJ 63372 1367 27 plane plane NN 63372 1367 28 , , , 63372 1367 29 and and CC 63372 1367 30 to to TO 63372 1367 31 realize realize VB 63372 1367 32 that that IN 63372 1367 33 he -PRON- PRP 63372 1367 34 can can MD 63372 1367 35 always always RB 63372 1367 36 iron iron VB 63372 1367 37 his -PRON- PRP$ 63372 1367 38 plane plane NN 63372 1367 39 out out RP 63372 1367 40 smooth smooth JJ 63372 1367 41 again again RB 63372 1367 42 after after IN 63372 1367 43 we -PRON- PRP 63372 1367 44 are be VBP 63372 1367 45 through through JJ 63372 1367 46 with with IN 63372 1367 47 it -PRON- PRP 63372 1367 48 . . . 63372 1368 1 This this DT 63372 1368 2 emphasizes emphasize VBZ 63372 1368 3 the the DT 63372 1368 4 true true JJ 63372 1368 5 nature nature NN 63372 1368 6 of of IN 63372 1368 7 the the DT 63372 1368 8 two two CD 63372 1368 9 - - HYPH 63372 1368 10 dimensionality dimensionality NN 63372 1368 11 which which WDT 63372 1368 12 is be VBZ 63372 1368 13 the the DT 63372 1368 14 fundamental fundamental JJ 63372 1368 15 characteristic characteristic NN 63372 1368 16 of of IN 63372 1368 17 the the DT 63372 1368 18 plane plane NN 63372 1368 19 ( ( -LRB- 63372 1368 20 and and CC 63372 1368 21 of of IN 63372 1368 22 other other JJ 63372 1368 23 things thing NNS 63372 1368 24 , , , 63372 1368 25 as as IN 63372 1368 26 we -PRON- PRP 63372 1368 27 shall shall MD 63372 1368 28 directly directly RB 63372 1368 29 see see VB 63372 1368 30 ) ) -RRB- 63372 1368 31 . . . 63372 1369 1 The the DT 63372 1369 2 plane plane NN 63372 1369 3 is be VBZ 63372 1369 4 two two CD 63372 1369 5 - - HYPH 63372 1369 6 dimensional dimensional JJ 63372 1369 7 in in IN 63372 1369 8 points point NNS 63372 1369 9 not not RB 63372 1369 10 because because IN 63372 1369 11 two two CD 63372 1369 12 sets set NNS 63372 1369 13 of of IN 63372 1369 14 mutually mutually RB 63372 1369 15 perpendicular perpendicular JJ 63372 1369 16 Euclidean euclidean JJ 63372 1369 17 straight straight JJ 63372 1369 18 lines line NNS 63372 1369 19 can can MD 63372 1369 20 be be VB 63372 1369 21 drawn draw VBN 63372 1369 22 in in IN 63372 1369 23 it -PRON- PRP 63372 1369 24 defining define VBG 63372 1369 25 directions direction NNS 63372 1369 26 of of IN 63372 1369 27 north north NN 63372 1369 28 - - HYPH 63372 1369 29 south south NN 63372 1369 30 and and CC 63372 1369 31 east east NNP 63372 1369 32 - - HYPH 63372 1369 33 west west NNP 63372 1369 34 , , , 63372 1369 35 but but CC 63372 1369 36 because because IN 63372 1369 37 a a DT 63372 1369 38 point point NN 63372 1369 39 in in IN 63372 1369 40 it -PRON- PRP 63372 1369 41 can can MD 63372 1369 42 be be VB 63372 1369 43 located locate VBN 63372 1369 44 by by IN 63372 1369 45 means mean NNS 63372 1369 46 of of IN 63372 1369 47 two two CD 63372 1369 48 measures measure NNS 63372 1369 49 . . . 63372 1370 1 The the DT 63372 1370 2 same same JJ 63372 1370 3 statement statement NN 63372 1370 4 may may MD 63372 1370 5 be be VB 63372 1370 6 made make VBN 63372 1370 7 of of IN 63372 1370 8 anything anything NN 63372 1370 9 whatever whatever WDT 63372 1370 10 to to TO 63372 1370 11 which which WDT 63372 1370 12 the the DT 63372 1370 13 term term NN 63372 1370 14 " " `` 63372 1370 15 surface surface NN 63372 1370 16 " " '' 63372 1370 17 is be VBZ 63372 1370 18 applicable applicable JJ 63372 1370 19 ; ; : 63372 1370 20 anything anything NN 63372 1370 21 , , , 63372 1370 22 however however RB 63372 1370 23 crumpled crumpled JJ 63372 1370 24 or or CC 63372 1370 25 irregular irregular JJ 63372 1370 26 it -PRON- PRP 63372 1370 27 be be VB 63372 1370 28 , , , 63372 1370 29 that that WDT 63372 1370 30 possesses possess VBZ 63372 1370 31 length length NN 63372 1370 32 and and CC 63372 1370 33 breadth breadth NN 63372 1370 34 without without IN 63372 1370 35 thickness thickness NN 63372 1370 36 . . . 63372 1371 1 The the DT 63372 1371 2 surface surface NN 63372 1371 3 of of IN 63372 1371 4 a a DT 63372 1371 5 sphere sphere NN 63372 1371 6 , , , 63372 1371 7 of of IN 63372 1371 8 a a DT 63372 1371 9 cylinder cylinder NN 63372 1371 10 , , , 63372 1371 11 of of IN 63372 1371 12 an an DT 63372 1371 13 ellipsoid ellipsoid NN 63372 1371 14 , , , 63372 1371 15 of of IN 63372 1371 16 a a DT 63372 1371 17 cone cone NN 63372 1371 18 , , , 63372 1371 19 of of IN 63372 1371 20 a a DT 63372 1371 21 doughnut doughnut NN 63372 1371 22 ( ( -LRB- 63372 1371 23 mathematically mathematically RB 63372 1371 24 known know VBN 63372 1371 25 as as IN 63372 1371 26 a a DT 63372 1371 27 torus torus NN 63372 1371 28 ) ) -RRB- 63372 1371 29 , , , 63372 1371 30 of of IN 63372 1371 31 a a DT 63372 1371 32 gear gear NN 63372 1371 33 wheel wheel NN 63372 1371 34 , , , 63372 1371 35 of of IN 63372 1371 36 a a DT 63372 1371 37 French french JJ 63372 1371 38 horn horn NN 63372 1371 39 , , , 63372 1371 40 all all PDT 63372 1371 41 these these DT 63372 1371 42 possess possess VBP 63372 1371 43 two two CD 63372 1371 44 - - HYPH 63372 1371 45 dimensionality dimensionality NN 63372 1371 46 in in IN 63372 1371 47 points point NNS 63372 1371 48 ; ; : 63372 1371 49 on on IN 63372 1371 50 all all DT 63372 1371 51 of of IN 63372 1371 52 them -PRON- PRP 63372 1371 53 we -PRON- PRP 63372 1371 54 can can MD 63372 1371 55 draw draw VB 63372 1371 56 lines line NNS 63372 1371 57 and and CC 63372 1371 58 curves curve NNS 63372 1371 59 and and CC 63372 1371 60 derive derive VB 63372 1371 61 a a DT 63372 1371 62 geometry geometry NN 63372 1371 63 of of IN 63372 1371 64 these these DT 63372 1371 65 figures figure NNS 63372 1371 66 . . . 63372 1372 1 If if IN 63372 1372 2 we -PRON- PRP 63372 1372 3 get get VBP 63372 1372 4 away away RB 63372 1372 5 from from IN 63372 1372 6 the the DT 63372 1372 7 notion notion NN 63372 1372 8 that that IN 63372 1372 9 geometry geometry NN 63372 1372 10 of of IN 63372 1372 11 two two CD 63372 1372 12 dimensions dimension NNS 63372 1372 13 must must MD 63372 1372 14 deal deal VB 63372 1372 15 with with IN 63372 1372 16 planes plane NNS 63372 1372 17 , , , 63372 1372 18 and and CC 63372 1372 19 adopt adopt VB 63372 1372 20 in in IN 63372 1372 21 place place NN 63372 1372 22 of of IN 63372 1372 23 this this DT 63372 1372 24 idea idea NN 63372 1372 25 the the DT 63372 1372 26 broader broad JJR 63372 1372 27 restriction restriction NN 63372 1372 28 that that IN 63372 1372 29 it -PRON- PRP 63372 1372 30 shall shall MD 63372 1372 31 deal deal VB 63372 1372 32 with with IN 63372 1372 33 surfaces surface NNS 63372 1372 34 , , , 63372 1372 35 we -PRON- PRP 63372 1372 36 shall shall MD 63372 1372 37 have have VB 63372 1372 38 the the DT 63372 1372 39 generalization generalization NN 63372 1372 40 which which WDT 63372 1372 41 the the DT 63372 1372 42 Euclidean Euclidean NNP 63372 1372 43 has have VBZ 63372 1372 44 demanded demand VBN 63372 1372 45 that that IN 63372 1372 46 we -PRON- PRP 63372 1372 47 produce produce VBP 63372 1372 48 , , , 63372 1372 49 and and CC 63372 1372 50 the the DT 63372 1372 51 one one NN 63372 1372 52 which which WDT 63372 1372 53 in in IN 63372 1372 54 the the DT 63372 1372 55 hands hand NNS 63372 1372 56 of of IN 63372 1372 57 the the DT 63372 1372 58 modern modern JJ 63372 1372 59 geometer geometer NN 63372 1372 60 has have VBZ 63372 1372 61 shown show VBN 63372 1372 62 results result NNS 63372 1372 63 . . . 63372 1373 1 In in IN 63372 1373 2 this this DT 63372 1373 3 two two CD 63372 1373 4 - - HYPH 63372 1373 5 dimensional dimensional JJ 63372 1373 6 geometry geometry NN 63372 1373 7 of of IN 63372 1373 8 surfaces surface NNS 63372 1373 9 in in IN 63372 1373 10 general general JJ 63372 1373 11 , , , 63372 1373 12 that that DT 63372 1373 13 of of IN 63372 1373 14 the the DT 63372 1373 15 plane plane NN 63372 1373 16 is be VBZ 63372 1373 17 merely merely RB 63372 1373 18 one one CD 63372 1373 19 special special JJ 63372 1373 20 case case NN 63372 1373 21 . . . 63372 1374 1 Certain certain JJ 63372 1374 2 of of IN 63372 1374 3 the the DT 63372 1374 4 features feature NNS 63372 1374 5 met meet VBD 63372 1374 6 in in IN 63372 1374 7 that that DT 63372 1374 8 case case NN 63372 1374 9 are be VBP 63372 1374 10 general general JJ 63372 1374 11 . . . 63372 1375 1 If if IN 63372 1375 2 we -PRON- PRP 63372 1375 3 agree agree VBP 63372 1375 4 that that IN 63372 1375 5 we -PRON- PRP 63372 1375 6 know know VBP 63372 1375 7 what what WP 63372 1375 8 we -PRON- PRP 63372 1375 9 mean mean VBP 63372 1375 10 by by IN 63372 1375 11 distance distance NN 63372 1375 12 , , , 63372 1375 13 we -PRON- PRP 63372 1375 14 find find VBP 63372 1375 15 that that DT 63372 1375 16 on on IN 63372 1375 17 every every DT 63372 1375 18 surface surface NN 63372 1375 19 there there EX 63372 1375 20 is be VBZ 63372 1375 21 a a DT 63372 1375 22 shortest short JJS 63372 1375 23 distance distance NN 63372 1375 24 between between IN 63372 1375 25 two two CD 63372 1375 26 points point NNS 63372 1375 27 , , , 63372 1375 28 together together RB 63372 1375 29 with with IN 63372 1375 30 a a DT 63372 1375 31 series series NN 63372 1375 32 of of IN 63372 1375 33 lines line NNS 63372 1375 34 or or CC 63372 1375 35 curves curve NNS 63372 1375 36 along along IN 63372 1375 37 which which WDT 63372 1375 38 such such JJ 63372 1375 39 distances distance NNS 63372 1375 40 are be VBP 63372 1375 41 taken take VBN 63372 1375 42 . . . 63372 1376 1 These these DT 63372 1376 2 lines line NNS 63372 1376 3 or or CC 63372 1376 4 curves curve NNS 63372 1376 5 we -PRON- PRP 63372 1376 6 call call VBP 63372 1376 7 geodesics geodesic NNS 63372 1376 8 . . . 63372 1377 1 On on IN 63372 1377 2 the the DT 63372 1377 3 plane plane NN 63372 1377 4 the the DT 63372 1377 5 geodesic geodesic NN 63372 1377 6 is be VBZ 63372 1377 7 the the DT 63372 1377 8 straight straight JJ 63372 1377 9 line line NN 63372 1377 10 . . . 63372 1378 1 On on IN 63372 1378 2 surfaces surface NNS 63372 1378 3 in in IN 63372 1378 4 general general JJ 63372 1378 5 the the DT 63372 1378 6 geodesic geodesic NN 63372 1378 7 , , , 63372 1378 8 whatever whatever WDT 63372 1378 9 its -PRON- PRP$ 63372 1378 10 particular particular JJ 63372 1378 11 and and CC 63372 1378 12 peculiar peculiar JJ 63372 1378 13 shape shape NN 63372 1378 14 , , , 63372 1378 15 plays play VBZ 63372 1378 16 the the DT 63372 1378 17 same same JJ 63372 1378 18 rôle rôle NNP 63372 1378 19 that that WDT 63372 1378 20 is be VBZ 63372 1378 21 played play VBN 63372 1378 22 by by IN 63372 1378 23 the the DT 63372 1378 24 straight straight JJ 63372 1378 25 line line NN 63372 1378 26 in in IN 63372 1378 27 the the DT 63372 1378 28 plane plane NN 63372 1378 29 ; ; : 63372 1378 30 it -PRON- PRP 63372 1378 31 is be VBZ 63372 1378 32 the the DT 63372 1378 33 secondary secondary JJ 63372 1378 34 element element NN 63372 1378 35 of of IN 63372 1378 36 the the DT 63372 1378 37 geometry geometry NN 63372 1378 38 , , , 63372 1378 39 the the DT 63372 1378 40 surface surface NN 63372 1378 41 itself -PRON- PRP 63372 1378 42 and and CC 63372 1378 43 all all DT 63372 1378 44 other other JJ 63372 1378 45 surfaces surface NNS 63372 1378 46 of of IN 63372 1378 47 its -PRON- PRP$ 63372 1378 48 type type NN 63372 1378 49 are be VBP 63372 1378 50 the the DT 63372 1378 51 tertiary tertiary JJ 63372 1378 52 elements element NNS 63372 1378 53 . . . 63372 1379 1 And and CC 63372 1379 2 it -PRON- PRP 63372 1379 3 is be VBZ 63372 1379 4 a a DT 63372 1379 5 fact fact NN 63372 1379 6 that that IN 63372 1379 7 we -PRON- PRP 63372 1379 8 can can MD 63372 1379 9 take take VB 63372 1379 10 all all PDT 63372 1379 11 the the DT 63372 1379 12 possible possible JJ 63372 1379 13 spheres sphere NNS 63372 1379 14 , , , 63372 1379 15 or or CC 63372 1379 16 all all PDT 63372 1379 17 the the DT 63372 1379 18 possible possible JJ 63372 1379 19 French French NNP 63372 1379 20 - - HYPH 63372 1379 21 horn horn NN 63372 1379 22 surfaces surface NNS 63372 1379 23 , , , 63372 1379 24 and and CC 63372 1379 25 conceive conceive JJ 63372 1379 26 of of IN 63372 1379 27 space space NN 63372 1379 28 as as IN 63372 1379 29 we -PRON- PRP 63372 1379 30 know know VBP 63372 1379 31 it -PRON- PRP 63372 1379 32 being be VBG 63372 1379 33 broken break VBN 63372 1379 34 down down RP 63372 1379 35 by by IN 63372 1379 36 analysis analysis NN 63372 1379 37 into into IN 63372 1379 38 these these DT 63372 1379 39 surfaces surface NNS 63372 1379 40 instead instead RB 63372 1379 41 of of IN 63372 1379 42 into into IN 63372 1379 43 planes plane NNS 63372 1379 44 . . . 63372 1380 1 The the DT 63372 1380 2 only only JJ 63372 1380 3 reason reason NN 63372 1380 4 we -PRON- PRP 63372 1380 5 habitually habitually RB 63372 1380 6 decompose decompose VBP 63372 1380 7 space space NN 63372 1380 8 into into IN 63372 1380 9 planes plane NNS 63372 1380 10 is be VBZ 63372 1380 11 because because IN 63372 1380 12 it -PRON- PRP 63372 1380 13 comes come VBZ 63372 1380 14 natural natural JJ 63372 1380 15 to to IN 63372 1380 16 us -PRON- PRP 63372 1380 17 to to TO 63372 1380 18 think think VB 63372 1380 19 that that DT 63372 1380 20 way way NN 63372 1380 21 . . . 63372 1381 1 But but CC 63372 1381 2 geometric geometric JJ 63372 1381 3 points point NNS 63372 1381 4 , , , 63372 1381 5 lines line NNS 63372 1381 6 and and CC 63372 1381 7 surfaces surface NNS 63372 1381 8 must must MD 63372 1381 9 be be VB 63372 1381 10 recognized recognize VBN 63372 1381 11 as as IN 63372 1381 12 abstractions abstraction NNS 63372 1381 13 without without IN 63372 1381 14 actual actual JJ 63372 1381 15 existence existence NN 63372 1381 16 , , , 63372 1381 17 for for IN 63372 1381 18 all all DT 63372 1381 19 of of IN 63372 1381 20 them -PRON- PRP 63372 1381 21 lack lack VBP 63372 1381 22 one one CD 63372 1381 23 or or CC 63372 1381 24 more more JJR 63372 1381 25 of of IN 63372 1381 26 the the DT 63372 1381 27 three three CD 63372 1381 28 dimensions dimension NNS 63372 1381 29 which which WDT 63372 1381 30 such such JJ 63372 1381 31 existence existence NN 63372 1381 32 implies imply VBZ 63372 1381 33 . . . 63372 1382 1 These these DT 63372 1382 2 figures figure NNS 63372 1382 3 exist exist VBP 63372 1382 4 in in IN 63372 1382 5 our -PRON- PRP$ 63372 1382 6 minds mind NNS 63372 1382 7 but but CC 63372 1382 8 not not RB 63372 1382 9 in in IN 63372 1382 10 the the DT 63372 1382 11 external external JJ 63372 1382 12 world world NN 63372 1382 13 about about IN 63372 1382 14 us -PRON- PRP 63372 1382 15 . . . 63372 1383 1 So so RB 63372 1383 2 any any DT 63372 1383 3 decomposition decomposition NN 63372 1383 4 of of IN 63372 1383 5 space space NN 63372 1383 6 into into IN 63372 1383 7 geometric geometric JJ 63372 1383 8 elements element NNS 63372 1383 9 is be VBZ 63372 1383 10 a a DT 63372 1383 11 phenomenon phenomenon NN 63372 1383 12 of of IN 63372 1383 13 the the DT 63372 1383 14 mind mind NN 63372 1383 15 only only RB 63372 1383 16 ; ; : 63372 1383 17 it -PRON- PRP 63372 1383 18 has have VBZ 63372 1383 19 no no DT 63372 1383 20 parallel parallel NN 63372 1383 21 and and CC 63372 1383 22 no no DT 63372 1383 23 significance significance NN 63372 1383 24 in in IN 63372 1383 25 the the DT 63372 1383 26 external external JJ 63372 1383 27 world world NN 63372 1383 28 , , , 63372 1383 29 and and CC 63372 1383 30 is be VBZ 63372 1383 31 made make VBN 63372 1383 32 in in IN 63372 1383 33 one one CD 63372 1383 34 way way NN 63372 1383 35 or or CC 63372 1383 36 in in IN 63372 1383 37 another another DT 63372 1383 38 purely purely RB 63372 1383 39 at at IN 63372 1383 40 our -PRON- PRP$ 63372 1383 41 pleasure pleasure NN 63372 1383 42 . . . 63372 1384 1 There there EX 63372 1384 2 is be VBZ 63372 1384 3 n't not RB 63372 1384 4 a a DT 63372 1384 5 true true JJ 63372 1384 6 , , , 63372 1384 7 honest honest JJ 63372 1384 8 - - HYPH 63372 1384 9 to to IN 63372 1384 10 - - HYPH 63372 1384 11 goodness goodness NN 63372 1384 12 geometrical geometrical JJ 63372 1384 13 plane plane NN 63372 1384 14 in in IN 63372 1384 15 existence existence NN 63372 1384 16 any any DT 63372 1384 17 more more RBR 63372 1384 18 than than IN 63372 1384 19 there there EX 63372 1384 20 is be VBZ 63372 1384 21 an an DT 63372 1384 22 honest honest JJ 63372 1384 23 - - HYPH 63372 1384 24 to to IN 63372 1384 25 - - HYPH 63372 1384 26 goodness goodness NN 63372 1384 27 spherical spherical JJ 63372 1384 28 surface surface NN 63372 1384 29 : : : 63372 1384 30 so so CC 63372 1384 31 on on IN 63372 1384 32 intrinsic intrinsic JJ 63372 1384 33 grounds ground NNS 63372 1384 34 one one CD 63372 1384 35 decomposition decomposition NN 63372 1384 36 is be VBZ 63372 1384 37 as as RB 63372 1384 38 reasonable reasonable JJ 63372 1384 39 as as IN 63372 1384 40 another another DT 63372 1384 41 . . . 63372 1385 1 Certain certain JJ 63372 1385 2 of of IN 63372 1385 3 the the DT 63372 1385 4 most most RBS 63372 1385 5 fundamental fundamental JJ 63372 1385 6 postulates postulate NNS 63372 1385 7 are be VBP 63372 1385 8 obeyed obey VBN 63372 1385 9 by by IN 63372 1385 10 all all DT 63372 1385 11 surfaces surface NNS 63372 1385 12 . . . 63372 1386 1 As as IN 63372 1386 2 we -PRON- PRP 63372 1386 3 attempt attempt VBP 63372 1386 4 to to TO 63372 1386 5 discriminate discriminate VB 63372 1386 6 between between IN 63372 1386 7 surfaces surface NNS 63372 1386 8 of of IN 63372 1386 9 different different JJ 63372 1386 10 types type NNS 63372 1386 11 , , , 63372 1386 12 and and CC 63372 1386 13 get get VB 63372 1386 14 , , , 63372 1386 15 for for IN 63372 1386 16 instance instance NN 63372 1386 17 , , , 63372 1386 18 a a DT 63372 1386 19 geometry geometry NN 63372 1386 20 that that WDT 63372 1386 21 shall shall MD 63372 1386 22 be be VB 63372 1386 23 valid valid JJ 63372 1386 24 for for IN 63372 1386 25 spheres sphere NNS 63372 1386 26 and and CC 63372 1386 27 ellipsoids ellipsoid NNS 63372 1386 28 but but CC 63372 1386 29 not not RB 63372 1386 30 for for IN 63372 1386 31 conicoids conicoid NNS 63372 1386 32 in in IN 63372 1386 33 general general JJ 63372 1386 34 , , , 63372 1386 35 we -PRON- PRP 63372 1386 36 must must MD 63372 1386 37 do do VB 63372 1386 38 so so RB 63372 1386 39 by by IN 63372 1386 40 bringing bring VBG 63372 1386 41 in in RP 63372 1386 42 additional additional JJ 63372 1386 43 postulates postulate NNS 63372 1386 44 that that WDT 63372 1386 45 embody embody VBP 63372 1386 46 the the DT 63372 1386 47 necessary necessary JJ 63372 1386 48 restrictions restriction NNS 63372 1386 49 . . . 63372 1387 1 A a DT 63372 1387 2 characteristic characteristic NN 63372 1387 3 shared share VBN 63372 1387 4 by by IN 63372 1387 5 planes plane NNS 63372 1387 6 , , , 63372 1387 7 spheres sphere NNS 63372 1387 8 , , , 63372 1387 9 and and CC 63372 1387 10 various various JJ 63372 1387 11 other other JJ 63372 1387 12 surfaces surface NNS 63372 1387 13 is be VBZ 63372 1387 14 that that IN 63372 1387 15 the the DT 63372 1387 16 geodesics geodesic NNS 63372 1387 17 can can MD 63372 1387 18 be be VB 63372 1387 19 freely freely RB 63372 1387 20 slid slide VBN 63372 1387 21 along along RB 63372 1387 22 upon upon IN 63372 1387 23 themselves -PRON- PRP 63372 1387 24 and and CC 63372 1387 25 will will MD 63372 1387 26 coincide coincide VB 63372 1387 27 with with IN 63372 1387 28 themselves -PRON- PRP 63372 1387 29 in in IN 63372 1387 30 all all DT 63372 1387 31 positions position NNS 63372 1387 32 when when WRB 63372 1387 33 thus thus RB 63372 1387 34 slid slide VBD 63372 1387 35 ; ; : 63372 1387 36 with with IN 63372 1387 37 a a DT 63372 1387 38 similar similar JJ 63372 1387 39 arrangement arrangement NN 63372 1387 40 for for IN 63372 1387 41 the the DT 63372 1387 42 surface surface NN 63372 1387 43 itself -PRON- PRP 63372 1387 44 . . . 63372 1388 1 But but CC 63372 1388 2 the the DT 63372 1388 3 plane plane NN 63372 1388 4 stands stand VBZ 63372 1388 5 almost almost RB 63372 1388 6 unique unique JJ 63372 1388 7 among among IN 63372 1388 8 surfaces surface NNS 63372 1388 9 in in IN 63372 1388 10 that that IN 63372 1388 11 it -PRON- PRP 63372 1388 12 does do VBZ 63372 1388 13 not not RB 63372 1388 14 force force VB 63372 1388 15 us -PRON- PRP 63372 1388 16 to to TO 63372 1388 17 distinguish distinguish VB 63372 1388 18 between between IN 63372 1388 19 its -PRON- PRP$ 63372 1388 20 two two CD 63372 1388 21 sides side NNS 63372 1388 22 ; ; : 63372 1388 23 we -PRON- PRP 63372 1388 24 can can MD 63372 1388 25 turn turn VB 63372 1388 26 it -PRON- PRP 63372 1388 27 over over RP 63372 1388 28 and and CC 63372 1388 29 still still RB 63372 1388 30 it -PRON- PRP 63372 1388 31 will will MD 63372 1388 32 coincide coincide VB 63372 1388 33 with with IN 63372 1388 34 itself -PRON- PRP 63372 1388 35 ; ; : 63372 1388 36 and and CC 63372 1388 37 this this DT 63372 1388 38 property property NN 63372 1388 39 belongs belong VBZ 63372 1388 40 also also RB 63372 1388 41 to to IN 63372 1388 42 the the DT 63372 1388 43 straight straight JJ 63372 1388 44 line line NN 63372 1388 45 . . . 63372 1389 1 It -PRON- PRP 63372 1389 2 does do VBZ 63372 1389 3 not not RB 63372 1389 4 belong belong VB 63372 1389 5 to to IN 63372 1389 6 the the DT 63372 1389 7 sphere sphere NN 63372 1389 8 , , , 63372 1389 9 or or CC 63372 1389 10 to to IN 63372 1389 11 the the DT 63372 1389 12 great great JJ 63372 1389 13 circles circle NNS 63372 1389 14 which which WDT 63372 1389 15 are be VBP 63372 1389 16 the the DT 63372 1389 17 geodesics geodesic NNS 63372 1389 18 of of IN 63372 1389 19 spherical spherical JJ 63372 1389 20 geometry geometry NN 63372 1389 21 ; ; : 63372 1389 22 when when WRB 63372 1389 23 we -PRON- PRP 63372 1389 24 turn turn VBP 63372 1389 25 one one CD 63372 1389 26 of of IN 63372 1389 27 these these DT 63372 1389 28 over over RP 63372 1389 29 , , , 63372 1389 30 through through IN 63372 1389 31 the the DT 63372 1389 32 three three CD 63372 1389 33 - - HYPH 63372 1389 34 dimensional dimensional JJ 63372 1389 35 space space NN 63372 1389 36 that that WDT 63372 1389 37 surrounds surround VBZ 63372 1389 38 it -PRON- PRP 63372 1389 39 , , , 63372 1389 40 we -PRON- PRP 63372 1389 41 find find VBP 63372 1389 42 that that IN 63372 1389 43 the the DT 63372 1389 44 curvature curvature JJ 63372 1389 45 lies lie NNS 63372 1389 46 in in IN 63372 1389 47 the the DT 63372 1389 48 wrong wrong JJ 63372 1389 49 way way NN 63372 1389 50 to to TO 63372 1389 51 make make VB 63372 1389 52 superposition superposition NN 63372 1389 53 possible possible JJ 63372 1389 54 . . . 63372 1390 1 If if IN 63372 1390 2 we -PRON- PRP 63372 1390 3 postulate postulate VBP 63372 1390 4 that that DT 63372 1390 5 superposition superposition NN 63372 1390 6 be be VB 63372 1390 7 possible possible JJ 63372 1390 8 under under IN 63372 1390 9 such such JJ 63372 1390 10 treatment treatment NN 63372 1390 11 , , , 63372 1390 12 we -PRON- PRP 63372 1390 13 throw throw VBP 63372 1390 14 out out RP 63372 1390 15 the the DT 63372 1390 16 sphere sphere JJ 63372 1390 17 and and CC 63372 1390 18 spherical spherical JJ 63372 1390 19 geometry geometry NN 63372 1390 20 ; ; : 63372 1390 21 if if IN 63372 1390 22 we -PRON- PRP 63372 1390 23 postulate postulate VBP 63372 1390 24 that that DT 63372 1390 25 superposition superposition NN 63372 1390 26 be be VB 63372 1390 27 only only RB 63372 1390 28 by by IN 63372 1390 29 sliding slide VBG 63372 1390 30 the the DT 63372 1390 31 surface surface NN 63372 1390 32 upon upon IN 63372 1390 33 itself -PRON- PRP 63372 1390 34 we -PRON- PRP 63372 1390 35 admit admit VBP 63372 1390 36 that that IN 63372 1390 37 geometry geometry NN 63372 1390 38 -- -- : 63372 1390 39 as as IN 63372 1390 40 Saccheri Saccheri NNP 63372 1390 41 failed fail VBD 63372 1390 42 to to TO 63372 1390 43 see see VB 63372 1390 44 , , , 63372 1390 45 as as IN 63372 1390 46 Lobatchewsky Lobatchewsky NNP 63372 1390 47 realized realize VBD 63372 1390 48 , , , 63372 1390 49 and and CC 63372 1390 50 as as IN 63372 1390 51 Riemann Riemann NNP 63372 1390 52 showed show VBD 63372 1390 53 at at IN 63372 1390 54 great great JJ 63372 1390 55 length length NN 63372 1390 56 in in IN 63372 1390 57 rehabilitating rehabilitate VBG 63372 1390 58 the the DT 63372 1390 59 " " `` 63372 1390 60 obtuse obtuse NN 63372 1390 61 - - HYPH 63372 1390 62 angled angle VBN 63372 1390 63 hypothesis hypothesis NN 63372 1390 64 . . . 63372 1390 65 " " '' 63372 1391 1 Lobatchewsky Lobatchewsky NNP 63372 1391 2 's 's POS 63372 1391 3 acute acute RB 63372 1391 4 - - HYPH 63372 1391 5 angled angle VBN 63372 1391 6 geometry geometry NN 63372 1391 7 is be VBZ 63372 1391 8 realized realize VBN 63372 1391 9 on on IN 63372 1391 10 a a DT 63372 1391 11 surface surface NN 63372 1391 12 of of IN 63372 1391 13 the the DT 63372 1391 14 proper proper JJ 63372 1391 15 sort sort NN 63372 1391 16 , , , 63372 1391 17 which which WDT 63372 1391 18 admits admit VBZ 63372 1391 19 of of IN 63372 1391 20 unrestricted unrestricted JJ 63372 1391 21 superposition superposition NN 63372 1391 22 ; ; : 63372 1391 23 but but CC 63372 1391 24 it -PRON- PRP 63372 1391 25 is be VBZ 63372 1391 26 not not RB 63372 1391 27 the the DT 63372 1391 28 sort sort NN 63372 1391 29 of of IN 63372 1391 30 a a DT 63372 1391 31 surface surface NN 63372 1391 32 that that WDT 63372 1391 33 I -PRON- PRP 63372 1391 34 care care VBP 63372 1391 35 to to TO 63372 1391 36 discuss discuss VB 63372 1391 37 in in IN 63372 1391 38 an an DT 63372 1391 39 article article NN 63372 1391 40 of of IN 63372 1391 41 this this DT 63372 1391 42 scope scope NN 63372 1391 43 . . . 63372 1392 1 Euclidean euclidean JJ 63372 1392 2 geometry geometry NN 63372 1392 3 is be VBZ 63372 1392 4 the the DT 63372 1392 5 natural natural JJ 63372 1392 6 and and CC 63372 1392 7 easy easy JJ 63372 1392 8 one one CD 63372 1392 9 , , , 63372 1392 10 I -PRON- PRP 63372 1392 11 suppose suppose VBP 63372 1392 12 , , , 63372 1392 13 because because IN 63372 1392 14 it -PRON- PRP 63372 1392 15 makes make VBZ 63372 1392 16 it -PRON- PRP 63372 1392 17 easy easy JJ 63372 1392 18 to to TO 63372 1392 19 stop stop VB 63372 1392 20 with with IN 63372 1392 21 three three CD 63372 1392 22 dimensions dimension NNS 63372 1392 23 . . . 63372 1393 1 If if IN 63372 1393 2 we -PRON- PRP 63372 1393 3 take take VBP 63372 1393 4 a a DT 63372 1393 5 secondary secondary JJ 63372 1393 6 element element NN 63372 1393 7 , , , 63372 1393 8 a a DT 63372 1393 9 geodesic geodesic NN 63372 1393 10 , , , 63372 1393 11 which which WDT 63372 1393 12 is be VBZ 63372 1393 13 " " `` 63372 1393 14 curved curved JJ 63372 1393 15 " " '' 63372 1393 16 in in IN 63372 1393 17 the the DT 63372 1393 18 Euclidean euclidean JJ 63372 1393 19 sense sense NN 63372 1393 20 , , , 63372 1393 21 we -PRON- PRP 63372 1393 22 get get VBP 63372 1393 23 a a DT 63372 1393 24 tertiary tertiary JJ 63372 1393 25 element element NN 63372 1393 26 , , , 63372 1393 27 a a DT 63372 1393 28 surface surface NN 63372 1393 29 , , , 63372 1393 30 which which WDT 63372 1393 31 is be VBZ 63372 1393 32 likewise likewise RB 63372 1393 33 curved curve VBN 63372 1393 34 . . . 63372 1394 1 Then then RB 63372 1394 2 unless unless IN 63372 1394 3 we -PRON- PRP 63372 1394 4 are be VBP 63372 1394 5 to to TO 63372 1394 6 make make VB 63372 1394 7 an an DT 63372 1394 8 altogether altogether RB 63372 1394 9 abrupt abrupt JJ 63372 1394 10 and and CC 63372 1394 11 unreasonable unreasonable JJ 63372 1394 12 break break NN 63372 1394 13 , , , 63372 1394 14 we -PRON- PRP 63372 1394 15 shall shall MD 63372 1394 16 find find VB 63372 1394 17 that that DT 63372 1394 18 just just RB 63372 1394 19 as as IN 63372 1394 20 the the DT 63372 1394 21 curved curved JJ 63372 1394 22 geodesic geodesic NN 63372 1394 23 generated generate VBD 63372 1394 24 a a DT 63372 1394 25 curved curved JJ 63372 1394 26 surface surface NN 63372 1394 27 , , , 63372 1394 28 the the DT 63372 1394 29 curved curved JJ 63372 1394 30 surface surface NN 63372 1394 31 must must MD 63372 1394 32 give give VB 63372 1394 33 rise rise NN 63372 1394 34 to to IN 63372 1394 35 a a DT 63372 1394 36 " " `` 63372 1394 37 curved curved JJ 63372 1394 38 space space NN 63372 1394 39 " " '' 63372 1394 40 ; ; : 63372 1394 41 and and CC 63372 1394 42 just just RB 63372 1394 43 as as IN 63372 1394 44 the the DT 63372 1394 45 curved curved JJ 63372 1394 46 geodesic geodesic NN 63372 1394 47 needed need VBD 63372 1394 48 a a DT 63372 1394 49 second second JJ 63372 1394 50 dimension dimension NN 63372 1394 51 to to TO 63372 1394 52 curve curve VB 63372 1394 53 into into IN 63372 1394 54 , , , 63372 1394 55 and and CC 63372 1394 56 the the DT 63372 1394 57 curved curved JJ 63372 1394 58 surface surface NN 63372 1394 59 a a DT 63372 1394 60 third third NN 63372 1394 61 , , , 63372 1394 62 so so RB 63372 1394 63 the the DT 63372 1394 64 curved curved JJ 63372 1394 65 three three CD 63372 1394 66 - - HYPH 63372 1394 67 space space NN 63372 1394 68 requires require VBZ 63372 1394 69 a a DT 63372 1394 70 fourth fourth JJ 63372 1394 71 . . . 63372 1395 1 Once once RB 63372 1395 2 started start VBD 63372 1395 3 on on IN 63372 1395 4 this this DT 63372 1395 5 sort sort NN 63372 1395 6 of of IN 63372 1395 7 thing thing NN 63372 1395 8 , , , 63372 1395 9 there there EX 63372 1395 10 does do VBZ 63372 1395 11 n't not RB 63372 1395 12 really really RB 63372 1395 13 seem seem VB 63372 1395 14 to to TO 63372 1395 15 be be VB 63372 1395 16 any any DT 63372 1395 17 end end NN 63372 1395 18 . . . 63372 1396 1 EUCLIDEAN EUCLIDEAN NNP 63372 1396 2 OR or CC 63372 1396 3 NON non NN 63372 1396 4 - - HYPH 63372 1396 5 EUCLIDEAN euclidean NN 63372 1396 6 Nevertheless nevertheless RB 63372 1396 7 , , , 63372 1396 8 we -PRON- PRP 63372 1396 9 must must MD 63372 1396 10 face face VB 63372 1396 11 the the DT 63372 1396 12 possibility possibility NN 63372 1396 13 that that IN 63372 1396 14 the the DT 63372 1396 15 space space NN 63372 1396 16 we -PRON- PRP 63372 1396 17 live live VBP 63372 1396 18 in in IN 63372 1396 19 , , , 63372 1396 20 or or CC 63372 1396 21 any any DT 63372 1396 22 other other JJ 63372 1396 23 manifold manifold NN 63372 1396 24 of of IN 63372 1396 25 any any DT 63372 1396 26 sort sort NN 63372 1396 27 whatever whatever WDT 63372 1396 28 with with IN 63372 1396 29 which which WDT 63372 1396 30 we -PRON- PRP 63372 1396 31 deal deal VBP 63372 1396 32 on on IN 63372 1396 33 geometric geometric JJ 63372 1396 34 principles principle NNS 63372 1396 35 , , , 63372 1396 36 may may MD 63372 1396 37 turn turn VB 63372 1396 38 out out RP 63372 1396 39 to to TO 63372 1396 40 be be VB 63372 1396 41 non non JJ 63372 1396 42 - - JJ 63372 1396 43 Euclidean euclidean JJ 63372 1396 44 . . . 63372 1397 1 How how WRB 63372 1397 2 shall shall MD 63372 1397 3 we -PRON- PRP 63372 1397 4 finally finally RB 63372 1397 5 determine determine VB 63372 1397 6 this this DT 63372 1397 7 ? ? . 63372 1398 1 By by IN 63372 1398 2 measures measure NNS 63372 1398 3 -- -- : 63372 1398 4 the the DT 63372 1398 5 Euclidean euclidean JJ 63372 1398 6 measures measure VBZ 63372 1398 7 the the DT 63372 1398 8 angles angle NNS 63372 1398 9 of of IN 63372 1398 10 an an DT 63372 1398 11 actual actual JJ 63372 1398 12 triangle triangle NN 63372 1398 13 and and CC 63372 1398 14 finds find VBZ 63372 1398 15 the the DT 63372 1398 16 sum sum NN 63372 1398 17 to to TO 63372 1398 18 be be VB 63372 1398 19 exactly exactly RB 63372 1398 20 180 180 CD 63372 1398 21 degrees degree NNS 63372 1398 22 ; ; : 63372 1398 23 or or CC 63372 1398 24 he -PRON- PRP 63372 1398 25 draws draw VBZ 63372 1398 26 parallel parallel JJ 63372 1398 27 lines line NNS 63372 1398 28 of of IN 63372 1398 29 indefinite indefinite JJ 63372 1398 30 extent extent NN 63372 1398 31 and and CC 63372 1398 32 finds find VBZ 63372 1398 33 them -PRON- PRP 63372 1398 34 to to TO 63372 1398 35 be be VB 63372 1398 36 everywhere everywhere RB 63372 1398 37 equally equally RB 63372 1398 38 distant distant JJ 63372 1398 39 ; ; : 63372 1398 40 and and CC 63372 1398 41 from from IN 63372 1398 42 these these DT 63372 1398 43 data datum NNS 63372 1398 44 he -PRON- PRP 63372 1398 45 concludes conclude VBZ 63372 1398 46 that that IN 63372 1398 47 our -PRON- PRP$ 63372 1398 48 space space NN 63372 1398 49 is be VBZ 63372 1398 50 really really RB 63372 1398 51 Euclidean euclidean JJ 63372 1398 52 . . . 63372 1399 1 But but CC 63372 1399 2 he -PRON- PRP 63372 1399 3 is be VBZ 63372 1399 4 not not RB 63372 1399 5 necessarily necessarily RB 63372 1399 6 right right JJ 63372 1399 7 . . . 63372 1400 1 We -PRON- PRP 63372 1400 2 ask ask VBP 63372 1400 3 him -PRON- PRP 63372 1400 4 to to TO 63372 1400 5 level level VB 63372 1400 6 off off RP 63372 1400 7 a a DT 63372 1400 8 plot plot NN 63372 1400 9 of of IN 63372 1400 10 ground ground NN 63372 1400 11 by by IN 63372 1400 12 means mean NNS 63372 1400 13 of of IN 63372 1400 14 a a DT 63372 1400 15 plumb plumb JJ 63372 1400 16 line line NN 63372 1400 17 . . . 63372 1401 1 Since since IN 63372 1401 2 the the DT 63372 1401 3 line line NN 63372 1401 4 always always RB 63372 1401 5 points point VBZ 63372 1401 6 to to IN 63372 1401 7 the the DT 63372 1401 8 earth earth NN 63372 1401 9 's 's POS 63372 1401 10 center center NN 63372 1401 11 , , , 63372 1401 12 the the DT 63372 1401 13 " " `` 63372 1401 14 level level NN 63372 1401 15 " " '' 63372 1401 16 plot plot NN 63372 1401 17 is be VBZ 63372 1401 18 actually actually RB 63372 1401 19 a a DT 63372 1401 20 very very RB 63372 1401 21 small small JJ 63372 1401 22 piece piece NN 63372 1401 23 of of IN 63372 1401 24 a a DT 63372 1401 25 spherical spherical JJ 63372 1401 26 surface surface NN 63372 1401 27 . . . 63372 1402 1 Any any DT 63372 1402 2 test test NN 63372 1402 3 conducted conduct VBN 63372 1402 4 on on IN 63372 1402 5 this this DT 63372 1402 6 plot plot NN 63372 1402 7 will will MD 63372 1402 8 exhibit exhibit VB 63372 1402 9 the the DT 63372 1402 10 numerical numerical JJ 63372 1402 11 characteristics characteristic NNS 63372 1402 12 of of IN 63372 1402 13 the the DT 63372 1402 14 Euclidean Euclidean NNP 63372 1402 15 geometry geometry NN 63372 1402 16 ; ; : 63372 1402 17 yet yet CC 63372 1402 18 we -PRON- PRP 63372 1402 19 know know VBP 63372 1402 20 the the DT 63372 1402 21 geometry geometry NN 63372 1402 22 of of IN 63372 1402 23 this this DT 63372 1402 24 surface surface NN 63372 1402 25 is be VBZ 63372 1402 26 Riemannian riemannian JJ 63372 1402 27 . . . 63372 1403 1 The the DT 63372 1403 2 angle angle NN 63372 1403 3 - - HYPH 63372 1403 4 sum sum NN 63372 1403 5 is be VBZ 63372 1403 6 really really RB 63372 1403 7 greater great JJR 63372 1403 8 than than IN 63372 1403 9 180 180 CD 63372 1403 10 degrees degree NNS 63372 1403 11 ; ; : 63372 1403 12 lines line NNS 63372 1403 13 that that WDT 63372 1403 14 are be VBP 63372 1403 15 everywhere everywhere RB 63372 1403 16 equidistant equidistant JJ 63372 1403 17 are be VBP 63372 1403 18 not not RB 63372 1403 19 both both DT 63372 1403 20 geodesics geodesic NNS 63372 1403 21 . . . 63372 1404 1 The the DT 63372 1404 2 trouble trouble NN 63372 1404 3 , , , 63372 1404 4 of of IN 63372 1404 5 course course NN 63372 1404 6 , , , 63372 1404 7 is be VBZ 63372 1404 8 that that DT 63372 1404 9 on on IN 63372 1404 10 this this DT 63372 1404 11 plot plot NN 63372 1404 12 we -PRON- PRP 63372 1404 13 deal deal VBP 63372 1404 14 with with IN 63372 1404 15 so so RB 63372 1404 16 minute minute VB 63372 1404 17 a a DT 63372 1404 18 fraction fraction NN 63372 1404 19 of of IN 63372 1404 20 the the DT 63372 1404 21 whole whole JJ 63372 1404 22 sphere sphere NN 63372 1404 23 that that IN 63372 1404 24 we -PRON- PRP 63372 1404 25 can can MD 63372 1404 26 not not RB 63372 1404 27 make make VB 63372 1404 28 measurements measurement NNS 63372 1404 29 sufficiently sufficiently RB 63372 1404 30 refined refine VBN 63372 1404 31 to to TO 63372 1404 32 detect detect VB 63372 1404 33 the the DT 63372 1404 34 departure departure NN 63372 1404 35 from from IN 63372 1404 36 Euclidean euclidean JJ 63372 1404 37 standards standard NNS 63372 1404 38 . . . 63372 1405 1 So so CC 63372 1405 2 it -PRON- PRP 63372 1405 3 is be VBZ 63372 1405 4 altogether altogether RB 63372 1405 5 sensible sensible JJ 63372 1405 6 for for IN 63372 1405 7 us -PRON- PRP 63372 1405 8 to to TO 63372 1405 9 ask ask VB 63372 1405 10 : : : 63372 1405 11 " " `` 63372 1405 12 Is be VBZ 63372 1405 13 the the DT 63372 1405 14 universe universe NN 63372 1405 15 of of IN 63372 1405 16 space space NN 63372 1405 17 about about IN 63372 1405 18 us -PRON- PRP 63372 1405 19 really really RB 63372 1405 20 Euclidean euclidean JJ 63372 1405 21 in in IN 63372 1405 22 whatever whatever WDT 63372 1405 23 of of IN 63372 1405 24 realized realize VBN 63372 1405 25 geometry geometry NN 63372 1405 26 it -PRON- PRP 63372 1405 27 presents present VBZ 63372 1405 28 to to IN 63372 1405 29 us -PRON- PRP 63372 1405 30 ? ? . 63372 1406 1 Or or CC 63372 1406 2 is be VBZ 63372 1406 3 it -PRON- PRP 63372 1406 4 really really RB 63372 1406 5 non non JJ 63372 1406 6 - - JJ 63372 1406 7 Euclidean euclidean JJ 63372 1406 8 , , , 63372 1406 9 but but CC 63372 1406 10 so so RB 63372 1406 11 vast vast JJ 63372 1406 12 in in IN 63372 1406 13 size size NN 63372 1406 14 that that WDT 63372 1406 15 we -PRON- PRP 63372 1406 16 have have VBP 63372 1406 17 never never RB 63372 1406 18 yet yet RB 63372 1406 19 been be VBN 63372 1406 20 able able JJ 63372 1406 21 to to TO 63372 1406 22 extend extend VB 63372 1406 23 our -PRON- PRP$ 63372 1406 24 measures measure NNS 63372 1406 25 to to IN 63372 1406 26 a a DT 63372 1406 27 sufficiently sufficiently RB 63372 1406 28 large large JJ 63372 1406 29 portion portion NN 63372 1406 30 of of IN 63372 1406 31 it -PRON- PRP 63372 1406 32 to to TO 63372 1406 33 make make VB 63372 1406 34 the the DT 63372 1406 35 divergence divergence NN 63372 1406 36 from from IN 63372 1406 37 the the DT 63372 1406 38 Euclidean euclidean JJ 63372 1406 39 standard standard NN 63372 1406 40 discernible discernible JJ 63372 1406 41 to to IN 63372 1406 42 us -PRON- PRP 63372 1406 43 ? ? . 63372 1406 44 " " '' 63372 1407 1 This this DT 63372 1407 2 discussion discussion NN 63372 1407 3 is be VBZ 63372 1407 4 necessarily necessarily RB 63372 1407 5 fragmentary fragmentary JJ 63372 1407 6 , , , 63372 1407 7 leaving leave VBG 63372 1407 8 out out RP 63372 1407 9 much much RB 63372 1407 10 that that IN 63372 1407 11 the the DT 63372 1407 12 writer writer NN 63372 1407 13 would would MD 63372 1407 14 prefer prefer VB 63372 1407 15 to to TO 63372 1407 16 include include VB 63372 1407 17 . . . 63372 1408 1 But but CC 63372 1408 2 it -PRON- PRP 63372 1408 3 is be VBZ 63372 1408 4 hoped hope VBN 63372 1408 5 that that IN 63372 1408 6 it -PRON- PRP 63372 1408 7 will will MD 63372 1408 8 nevertheless nevertheless RB 63372 1408 9 make make VB 63372 1408 10 it -PRON- PRP 63372 1408 11 clear clear JJ 63372 1408 12 that that IN 63372 1408 13 when when WRB 63372 1408 14 the the DT 63372 1408 15 contestants contestant NNS 63372 1408 16 in in IN 63372 1408 17 the the DT 63372 1408 18 Einstein Einstein NNP 63372 1408 19 competition competition NN 63372 1408 20 speak speak NN 63372 1408 21 of of IN 63372 1408 22 a a DT 63372 1408 23 non non JJ 63372 1408 24 - - JJ 63372 1408 25 Euclidean euclidean JJ 63372 1408 26 universe universe NN 63372 1408 27 as as IN 63372 1408 28 apparently apparently RB 63372 1408 29 having have VBG 63372 1408 30 been be VBN 63372 1408 31 revealed reveal VBN 63372 1408 32 by by IN 63372 1408 33 Einstein Einstein NNP 63372 1408 34 , , , 63372 1408 35 they -PRON- PRP 63372 1408 36 mean mean VBP 63372 1408 37 simply simply RB 63372 1408 38 that that DT 63372 1408 39 to to IN 63372 1408 40 Einstein Einstein NNP 63372 1408 41 has have VBZ 63372 1408 42 occurred occur VBN 63372 1408 43 a a DT 63372 1408 44 happy happy JJ 63372 1408 45 expedient expedient NN 63372 1408 46 for for IN 63372 1408 47 testing test VBG 63372 1408 48 Euclideanism euclideanism NN 63372 1408 49 on on IN 63372 1408 50 a a DT 63372 1408 51 smaller small JJR 63372 1408 52 scale scale NN 63372 1408 53 than than IN 63372 1408 54 has have VBZ 63372 1408 55 heretofore heretofore RB 63372 1408 56 been be VBN 63372 1408 57 supposed suppose VBN 63372 1408 58 possible possible JJ 63372 1408 59 . . . 63372 1409 1 He -PRON- PRP 63372 1409 2 has have VBZ 63372 1409 3 devised devise VBN 63372 1409 4 a a DT 63372 1409 5 new new JJ 63372 1409 6 and and CC 63372 1409 7 ingenious ingenious JJ 63372 1409 8 sort sort NN 63372 1409 9 of of IN 63372 1409 10 measure measure NN 63372 1409 11 which which WDT 63372 1409 12 , , , 63372 1409 13 if if IN 63372 1409 14 his -PRON- PRP$ 63372 1409 15 results result NNS 63372 1409 16 be be VB 63372 1409 17 valid valid JJ 63372 1409 18 , , , 63372 1409 19 enables enable VBZ 63372 1409 20 us -PRON- PRP 63372 1409 21 to to TO 63372 1409 22 operate operate VB 63372 1409 23 in in IN 63372 1409 24 a a DT 63372 1409 25 smaller small JJR 63372 1409 26 region region NN 63372 1409 27 while while IN 63372 1409 28 yet yet RB 63372 1409 29 anticipating anticipate VBG 63372 1409 30 that that IN 63372 1409 31 any any DT 63372 1409 32 non non JJ 63372 1409 33 - - JJ 63372 1409 34 Euclidean euclidean JJ 63372 1409 35 characteristics characteristic NNS 63372 1409 36 of of IN 63372 1409 37 the the DT 63372 1409 38 manifold manifold NN 63372 1409 39 with with IN 63372 1409 40 which which WDT 63372 1409 41 we -PRON- PRP 63372 1409 42 deal deal VBP 63372 1409 43 will will MD 63372 1409 44 rise rise VB 63372 1409 45 above above IN 63372 1409 46 the the DT 63372 1409 47 threshold threshold NN 63372 1409 48 of of IN 63372 1409 49 measurement measurement NN 63372 1409 50 . . . 63372 1410 1 This this DT 63372 1410 2 does do VBZ 63372 1410 3 not not RB 63372 1410 4 mean mean VB 63372 1410 5 that that IN 63372 1410 6 Euclidean euclidean JJ 63372 1410 7 lines line NNS 63372 1410 8 and and CC 63372 1410 9 planes plane NNS 63372 1410 10 , , , 63372 1410 11 as as IN 63372 1410 12 we -PRON- PRP 63372 1410 13 picture picture VBP 63372 1410 14 them -PRON- PRP 63372 1410 15 in in IN 63372 1410 16 our -PRON- PRP$ 63372 1410 17 mind mind NN 63372 1410 18 , , , 63372 1410 19 are be VBP 63372 1410 20 no no RB 63372 1410 21 longer long RBR 63372 1410 22 non non JJ 63372 1410 23 - - JJ 63372 1410 24 Euclidean euclidean JJ 63372 1410 25 , , , 63372 1410 26 but but CC 63372 1410 27 merely merely RB 63372 1410 28 that that IN 63372 1410 29 these these DT 63372 1410 30 concepts concept NNS 63372 1410 31 do do VBP 63372 1410 32 not not RB 63372 1410 33 quite quite RB 63372 1410 34 so so RB 63372 1410 35 closely closely RB 63372 1410 36 correspond correspond VB 63372 1410 37 with with IN 63372 1410 38 the the DT 63372 1410 39 external external JJ 63372 1410 40 reality reality NN 63372 1410 41 as as IN 63372 1410 42 we -PRON- PRP 63372 1410 43 had have VBD 63372 1410 44 supposed suppose VBN 63372 1410 45 . . . 63372 1411 1 As as IN 63372 1411 2 to to IN 63372 1411 3 the the DT 63372 1411 4 precise precise JJ 63372 1411 5 character character NN 63372 1411 6 of of IN 63372 1411 7 the the DT 63372 1411 8 non non NNP 63372 1411 9 - - NN 63372 1411 10 Euclideanism euclideanism NN 63372 1411 11 which which WDT 63372 1411 12 is be VBZ 63372 1411 13 revealed reveal VBN 63372 1411 14 , , , 63372 1411 15 we -PRON- PRP 63372 1411 16 may may MD 63372 1411 17 leave leave VB 63372 1411 18 this this DT 63372 1411 19 to to IN 63372 1411 20 later later JJ 63372 1411 21 chapters chapter NNS 63372 1411 22 and and CC 63372 1411 23 to to IN 63372 1411 24 the the DT 63372 1411 25 competing compete VBG 63372 1411 26 essayists essayist NNS 63372 1411 27 . . . 63372 1412 1 We -PRON- PRP 63372 1412 2 need need VBP 63372 1412 3 only only RB 63372 1412 4 point point VB 63372 1412 5 out out RP 63372 1412 6 here here RB 63372 1412 7 that that IN 63372 1412 8 it -PRON- PRP 63372 1412 9 will will MD 63372 1412 10 not not RB 63372 1412 11 necessarily necessarily RB 63372 1412 12 be be VB 63372 1412 13 restricted restrict VBN 63372 1412 14 to to IN 63372 1412 15 the the DT 63372 1412 16 matter matter NN 63372 1412 17 of of IN 63372 1412 18 parallelism parallelism NN 63372 1412 19 . . . 63372 1413 1 The the DT 63372 1413 2 parallel parallel JJ 63372 1413 3 postulate postulate NN 63372 1413 4 is be VBZ 63372 1413 5 of of IN 63372 1413 6 extreme extreme JJ 63372 1413 7 interest interest NN 63372 1413 8 to to IN 63372 1413 9 us -PRON- PRP 63372 1413 10 for for IN 63372 1413 11 two two CD 63372 1413 12 reasons reason NNS 63372 1413 13 ; ; : 63372 1413 14 first first RB 63372 1413 15 because because IN 63372 1413 16 historically historically RB 63372 1413 17 it -PRON- PRP 63372 1413 18 was be VBD 63372 1413 19 the the DT 63372 1413 20 means mean NNS 63372 1413 21 by by IN 63372 1413 22 which which WDT 63372 1413 23 the the DT 63372 1413 24 possibilities possibility NNS 63372 1413 25 and and CC 63372 1413 26 the the DT 63372 1413 27 importance importance NN 63372 1413 28 of of IN 63372 1413 29 non non JJ 63372 1413 30 - - JJ 63372 1413 31 Euclidean euclidean JJ 63372 1413 32 geometry geometry NN 63372 1413 33 were be VBD 63372 1413 34 forced force VBN 63372 1413 35 upon upon IN 63372 1413 36 our -PRON- PRP$ 63372 1413 37 attention attention NN 63372 1413 38 ; ; : 63372 1413 39 and and CC 63372 1413 40 second second RB 63372 1413 41 because because IN 63372 1413 42 it -PRON- PRP 63372 1413 43 happens happen VBZ 63372 1413 44 to to TO 63372 1413 45 be be VB 63372 1413 46 the the DT 63372 1413 47 immediate immediate JJ 63372 1413 48 ground ground NN 63372 1413 49 of of IN 63372 1413 50 distinction distinction NN 63372 1413 51 between between IN 63372 1413 52 Euclidean Euclidean NNP 63372 1413 53 geometry geometry NN 63372 1413 54 and and CC 63372 1413 55 two two CD 63372 1413 56 of of IN 63372 1413 57 the the DT 63372 1413 58 most most RBS 63372 1413 59 interesting interesting JJ 63372 1413 60 alternatives alternative NNS 63372 1413 61 . . . 63372 1414 1 But but CC 63372 1414 2 Euclidean euclidean JJ 63372 1414 3 geometry geometry NN 63372 1414 4 is be VBZ 63372 1414 5 characterized characterize VBN 63372 1414 6 , , , 63372 1414 7 not not RB 63372 1414 8 by by IN 63372 1414 9 a a DT 63372 1414 10 single single JJ 63372 1414 11 postulate postulate NN 63372 1414 12 , , , 63372 1414 13 but but CC 63372 1414 14 by by IN 63372 1414 15 a a DT 63372 1414 16 considerable considerable JJ 63372 1414 17 number number NN 63372 1414 18 of of IN 63372 1414 19 postulates postulate NNS 63372 1414 20 . . . 63372 1415 1 We -PRON- PRP 63372 1415 2 may may MD 63372 1415 3 attempt attempt VB 63372 1415 4 to to TO 63372 1415 5 omit omit VB 63372 1415 6 any any DT 63372 1415 7 one one CD 63372 1415 8 of of IN 63372 1415 9 these these DT 63372 1415 10 so so IN 63372 1415 11 that that IN 63372 1415 12 its -PRON- PRP$ 63372 1415 13 ground ground NN 63372 1415 14 is be VBZ 63372 1415 15 not not RB 63372 1415 16 specifically specifically RB 63372 1415 17 covered cover VBN 63372 1415 18 at at RB 63372 1415 19 all all RB 63372 1415 20 , , , 63372 1415 21 or or CC 63372 1415 22 to to TO 63372 1415 23 replace replace VB 63372 1415 24 any any DT 63372 1415 25 one one CD 63372 1415 26 of of IN 63372 1415 27 them -PRON- PRP 63372 1415 28 by by IN 63372 1415 29 a a DT 63372 1415 30 direct direct JJ 63372 1415 31 alternative alternative NN 63372 1415 32 . . . 63372 1416 1 We -PRON- PRP 63372 1416 2 might may MD 63372 1416 3 conceivably conceivably RB 63372 1416 4 do do VB 63372 1416 5 away away RP 63372 1416 6 with with IN 63372 1416 7 the the DT 63372 1416 8 superposition superposition NN 63372 1416 9 postulate postulate NN 63372 1416 10 entirely entirely RB 63372 1416 11 , , , 63372 1416 12 and and CC 63372 1416 13 demand demand VB 63372 1416 14 that that IN 63372 1416 15 figures figure NNS 63372 1416 16 be be VB 63372 1416 17 proved prove VBN 63372 1416 18 equivalent equivalent JJ 63372 1416 19 , , , 63372 1416 20 if if IN 63372 1416 21 at at RB 63372 1416 22 all all RB 63372 1416 23 , , , 63372 1416 24 by by IN 63372 1416 25 some some DT 63372 1416 26 more more RBR 63372 1416 27 drastic drastic JJ 63372 1416 28 test test NN 63372 1416 29 . . . 63372 1417 1 We -PRON- PRP 63372 1417 2 might may MD 63372 1417 3 do do VB 63372 1417 4 away away RB 63372 1417 5 with with IN 63372 1417 6 the the DT 63372 1417 7 postulate postulate NN 63372 1417 8 , , , 63372 1417 9 first first RB 63372 1417 10 properly properly RB 63372 1417 11 formulated formulate VBN 63372 1417 12 by by IN 63372 1417 13 Hilbert Hilbert NNP 63372 1417 14 , , , 63372 1417 15 on on IN 63372 1417 16 which which WDT 63372 1417 17 our -PRON- PRP$ 63372 1417 18 ideas idea NNS 63372 1417 19 of of IN 63372 1417 20 the the DT 63372 1417 21 property property NN 63372 1417 22 represented represent VBN 63372 1417 23 in in IN 63372 1417 24 the the DT 63372 1417 25 word word NN 63372 1417 26 " " '' 63372 1417 27 between between IN 63372 1417 28 " " `` 63372 1417 29 depend depend NN 63372 1417 30 . . . 63372 1418 1 We -PRON- PRP 63372 1418 2 might may MD 63372 1418 3 do do VB 63372 1418 4 away away RB 63372 1418 5 with with IN 63372 1418 6 any any DT 63372 1418 7 single single JJ 63372 1418 8 one one CD 63372 1418 9 of of IN 63372 1418 10 the the DT 63372 1418 11 Euclidean euclidean JJ 63372 1418 12 postulates postulate NNS 63372 1418 13 , , , 63372 1418 14 or or CC 63372 1418 15 with with IN 63372 1418 16 any any DT 63372 1418 17 combination combination NN 63372 1418 18 of of IN 63372 1418 19 two two CD 63372 1418 20 or or CC 63372 1418 21 more more JJR 63372 1418 22 of of IN 63372 1418 23 them -PRON- PRP 63372 1418 24 . . . 63372 1419 1 In in IN 63372 1419 2 some some DT 63372 1419 3 cases case NNS 63372 1419 4 this this DT 63372 1419 5 would would MD 63372 1419 6 lead lead VB 63372 1419 7 to to IN 63372 1419 8 a a DT 63372 1419 9 lack lack NN 63372 1419 10 of of IN 63372 1419 11 categoricity categoricity NN 63372 1419 12 and and CC 63372 1419 13 we -PRON- PRP 63372 1419 14 should should MD 63372 1419 15 get get VB 63372 1419 16 no no DT 63372 1419 17 geometry geometry NN 63372 1419 18 at at RB 63372 1419 19 all all RB 63372 1419 20 ; ; : 63372 1419 21 in in IN 63372 1419 22 most most JJS 63372 1419 23 cases case NNS 63372 1419 24 , , , 63372 1419 25 provided provide VBN 63372 1419 26 we -PRON- PRP 63372 1419 27 brought bring VBD 63372 1419 28 a a DT 63372 1419 29 proper proper JJ 63372 1419 30 degree degree NN 63372 1419 31 of of IN 63372 1419 32 astuteness astuteness NN 63372 1419 33 to to IN 63372 1419 34 the the DT 63372 1419 35 formulation formulation NN 63372 1419 36 of of IN 63372 1419 37 alternatives alternative NNS 63372 1419 38 for for IN 63372 1419 39 the the DT 63372 1419 40 rejected reject VBN 63372 1419 41 postulates postulate NNS 63372 1419 42 , , , 63372 1419 43 we -PRON- PRP 63372 1419 44 should should MD 63372 1419 45 get get VB 63372 1419 46 a a DT 63372 1419 47 perfectly perfectly RB 63372 1419 48 good good JJ 63372 1419 49 system system NN 63372 1419 50 of of IN 63372 1419 51 non non JJ 63372 1419 52 - - JJ 63372 1419 53 Euclidean euclidean JJ 63372 1419 54 geometry geometry NN 63372 1419 55 : : : 63372 1419 56 one one CD 63372 1419 57 realized realize VBD 63372 1419 58 , , , 63372 1419 59 if if IN 63372 1419 60 at at RB 63372 1419 61 all all RB 63372 1419 62 , , , 63372 1419 63 by by IN 63372 1419 64 other other JJ 63372 1419 65 elements element NNS 63372 1419 66 than than IN 63372 1419 67 the the DT 63372 1419 68 Euclidean euclidean JJ 63372 1419 69 point point NN 63372 1419 70 , , , 63372 1419 71 line line NN 63372 1419 72 and and CC 63372 1419 73 plane plane NN 63372 1419 74 , , , 63372 1419 75 and and CC 63372 1419 76 one one CD 63372 1419 77 whose whose WP$ 63372 1419 78 elements element NNS 63372 1419 79 behave behave VBP 63372 1419 80 toward toward IN 63372 1419 81 one one NN 63372 1419 82 another another DT 63372 1419 83 differently differently RB 63372 1419 84 from from IN 63372 1419 85 the the DT 63372 1419 86 Euclidean euclidean JJ 63372 1419 87 point point NN 63372 1419 88 , , , 63372 1419 89 line line NN 63372 1419 90 and and CC 63372 1419 91 plane plane NN 63372 1419 92 . . . 63372 1420 1 Merely merely RB 63372 1420 2 to to TO 63372 1420 3 add add VB 63372 1420 4 definiteness definiteness NN 63372 1420 5 to to IN 63372 1420 6 this this DT 63372 1420 7 chapter chapter NN 63372 1420 8 , , , 63372 1420 9 I -PRON- PRP 63372 1420 10 annex annex VBP 63372 1420 11 here here RB 63372 1420 12 the the DT 63372 1420 13 statement statement NN 63372 1420 14 that that IN 63372 1420 15 in in IN 63372 1420 16 the the DT 63372 1420 17 geometry geometry NN 63372 1420 18 which which WDT 63372 1420 19 Einstein Einstein NNP 63372 1420 20 builds build VBZ 63372 1420 21 up up RP 63372 1420 22 as as RB 63372 1420 23 more more RBR 63372 1420 24 nearly nearly RB 63372 1420 25 representing represent VBG 63372 1420 26 the the DT 63372 1420 27 true true JJ 63372 1420 28 external external JJ 63372 1420 29 world world NN 63372 1420 30 than than IN 63372 1420 31 does do VBZ 63372 1420 32 Euclid Euclid NNP 63372 1420 33 's 's POS 63372 1420 34 , , , 63372 1420 35 we -PRON- PRP 63372 1420 36 shall shall MD 63372 1420 37 dispense dispense VB 63372 1420 38 with with IN 63372 1420 39 Euclid Euclid NNP 63372 1420 40 's 's POS 63372 1420 41 ( ( -LRB- 63372 1420 42 implicit implicit JJ 63372 1420 43 ) ) -RRB- 63372 1420 44 assumption assumption NN 63372 1420 45 , , , 63372 1420 46 underlying underlie VBG 63372 1420 47 his -PRON- PRP$ 63372 1420 48 ( ( -LRB- 63372 1420 49 explicitly explicitly RB 63372 1420 50 stated state VBN 63372 1420 51 ) ) -RRB- 63372 1420 52 superposition superposition NN 63372 1420 53 postulate postulate NN 63372 1420 54 , , , 63372 1420 55 to to IN 63372 1420 56 the the DT 63372 1420 57 effect effect NN 63372 1420 58 that that WDT 63372 1420 59 the the DT 63372 1420 60 act act NN 63372 1420 61 of of IN 63372 1420 62 moving move VBG 63372 1420 63 things thing NNS 63372 1420 64 about about IN 63372 1420 65 does do VBZ 63372 1420 66 not not RB 63372 1420 67 affect affect VB 63372 1420 68 their -PRON- PRP$ 63372 1420 69 lengths length NNS 63372 1420 70 . . . 63372 1421 1 We -PRON- PRP 63372 1421 2 shall shall MD 63372 1421 3 at at IN 63372 1421 4 the the DT 63372 1421 5 same same JJ 63372 1421 6 time time NN 63372 1421 7 dispense dispense NN 63372 1421 8 with with IN 63372 1421 9 his -PRON- PRP$ 63372 1421 10 parallel parallel JJ 63372 1421 11 postulate postulate NN 63372 1421 12 . . . 63372 1422 1 And and CC 63372 1422 2 we -PRON- PRP 63372 1422 3 shall shall MD 63372 1422 4 add add VB 63372 1422 5 a a DT 63372 1422 6 fourth fourth JJ 63372 1422 7 dimension dimension NN 63372 1422 8 to to IN 63372 1422 9 his -PRON- PRP$ 63372 1422 10 three three CD 63372 1422 11 -- -- : 63372 1422 12 not not RB 63372 1422 13 , , , 63372 1422 14 of of IN 63372 1422 15 course course NN 63372 1422 16 , , , 63372 1422 17 anything anything NN 63372 1422 18 in in IN 63372 1422 19 the the DT 63372 1422 20 nature nature NN 63372 1422 21 of of IN 63372 1422 22 a a DT 63372 1422 23 fourth fourth JJ 63372 1422 24 Euclidean euclidean JJ 63372 1422 25 straight straight JJ 63372 1422 26 line line NN 63372 1422 27 perpendicular perpendicular JJ 63372 1422 28 , , , 63372 1422 29 in in IN 63372 1422 30 Euclidean euclidean JJ 63372 1422 31 space space NN 63372 1422 32 , , , 63372 1422 33 to to IN 63372 1422 34 three three CD 63372 1422 35 lines line NNS 63372 1422 36 that that WDT 63372 1422 37 are be VBP 63372 1422 38 already already RB 63372 1422 39 perpendicular perpendicular JJ 63372 1422 40 to to IN 63372 1422 41 each each DT 63372 1422 42 other other JJ 63372 1422 43 , , , 63372 1422 44 but but CC 63372 1422 45 something something NN 63372 1422 46 quite quite RB 63372 1422 47 distinct distinct JJ 63372 1422 48 from from IN 63372 1422 49 this this DT 63372 1422 50 , , , 63372 1422 51 whose whose WP$ 63372 1422 52 nature nature NN 63372 1422 53 we -PRON- PRP 63372 1422 54 shall shall MD 63372 1422 55 see see VB 63372 1422 56 more more RBR 63372 1422 57 exactly exactly RB 63372 1422 58 in in IN 63372 1422 59 the the DT 63372 1422 60 next next JJ 63372 1422 61 chapter chapter NN 63372 1422 62 . . . 63372 1423 1 If if IN 63372 1423 2 the the DT 63372 1423 3 present present JJ 63372 1423 4 chapter chapter NN 63372 1423 5 has have VBZ 63372 1423 6 made make VBN 63372 1423 7 it -PRON- PRP 63372 1423 8 clear clear JJ 63372 1423 9 that that IN 63372 1423 10 it -PRON- PRP 63372 1423 11 is be VBZ 63372 1423 12 proper proper JJ 63372 1423 13 for for IN 63372 1423 14 us -PRON- PRP 63372 1423 15 to to TO 63372 1423 16 do do VB 63372 1423 17 this this DT 63372 1423 18 , , , 63372 1423 19 and and CC 63372 1423 20 has have VBZ 63372 1423 21 prevented prevent VBN 63372 1423 22 anyone anyone NN 63372 1423 23 from from IN 63372 1423 24 supposing suppose VBG 63372 1423 25 that that IN 63372 1423 26 the the DT 63372 1423 27 results result NNS 63372 1423 28 of of IN 63372 1423 29 doing do VBG 63372 1423 30 it -PRON- PRP 63372 1423 31 must must MD 63372 1423 32 be be VB 63372 1423 33 visualized visualize VBN 63372 1423 34 in in IN 63372 1423 35 a a DT 63372 1423 36 Euclidean euclidean JJ 63372 1423 37 space space NN 63372 1423 38 of of IN 63372 1423 39 three three CD 63372 1423 40 dimensions dimension NNS 63372 1423 41 or or CC 63372 1423 42 of of IN 63372 1423 43 any any DT 63372 1423 44 number number NN 63372 1423 45 of of IN 63372 1423 46 dimensions dimension NNS 63372 1423 47 , , , 63372 1423 48 it -PRON- PRP 63372 1423 49 will will MD 63372 1423 50 have have VB 63372 1423 51 served serve VBN 63372 1423 52 its -PRON- PRP$ 63372 1423 53 purpose purpose NN 63372 1423 54 . . . 63372 1424 1 VI VI NNP 63372 1424 2 THE the DT 63372 1424 3 SPACE space NN 63372 1424 4 - - HYPH 63372 1424 5 TIME time NN 63372 1424 6 CONTINUUM CONTINUUM NNP 63372 1424 7 Minkowski Minkowski NNP 63372 1424 8 's 's POS 63372 1424 9 World World NNP 63372 1424 10 of of IN 63372 1424 11 Events Events NNPS 63372 1424 12 , , , 63372 1424 13 and and CC 63372 1424 14 the the DT 63372 1424 15 Way way NN 63372 1424 16 It -PRON- PRP 63372 1424 17 Fits fit VBZ 63372 1424 18 Into into IN 63372 1424 19 Einstein Einstein NNP 63372 1424 20 's 's POS 63372 1424 21 Structure structure NN 63372 1424 22 BY by IN 63372 1424 23 THE the DT 63372 1424 24 EDITOR EDITOR NNP 63372 1424 25 , , , 63372 1424 26 EXCEPT EXCEPT NNP 63372 1424 27 AS as IN 63372 1424 28 NOTED note VBD 63372 1424 29 Seeking seek VBG 63372 1424 30 a a DT 63372 1424 31 basis basis NN 63372 1424 32 for for IN 63372 1424 33 the the DT 63372 1424 34 secure secure JJ 63372 1424 35 formulation formulation NN 63372 1424 36 of of IN 63372 1424 37 his -PRON- PRP$ 63372 1424 38 results result NNS 63372 1424 39 , , , 63372 1424 40 and and CC 63372 1424 41 especially especially RB 63372 1424 42 a a DT 63372 1424 43 means means NN 63372 1424 44 for for IN 63372 1424 45 expressing express VBG 63372 1424 46 mathematically mathematically RB 63372 1424 47 the the DT 63372 1424 48 facts fact NNS 63372 1424 49 of of IN 63372 1424 50 the the DT 63372 1424 51 dependence dependence NN 63372 1424 52 which which WDT 63372 1424 53 he -PRON- PRP 63372 1424 54 had have VBD 63372 1424 55 found find VBN 63372 1424 56 to to TO 63372 1424 57 exist exist VB 63372 1424 58 between between IN 63372 1424 59 time time NN 63372 1424 60 and and CC 63372 1424 61 space space NN 63372 1424 62 , , , 63372 1424 63 Einstein Einstein NNP 63372 1424 64 fell fall VBD 63372 1424 65 back back RB 63372 1424 66 upon upon IN 63372 1424 67 the the DT 63372 1424 68 prior prior JJ 63372 1424 69 work work NN 63372 1424 70 of of IN 63372 1424 71 Minkowski Minkowski NNP 63372 1424 72 . . . 63372 1425 1 It -PRON- PRP 63372 1425 2 may may MD 63372 1425 3 be be VB 63372 1425 4 stated state VBN 63372 1425 5 right right RB 63372 1425 6 here here RB 63372 1425 7 that that IN 63372 1425 8 the the DT 63372 1425 9 idea idea NN 63372 1425 10 of of IN 63372 1425 11 time time NN 63372 1425 12 as as IN 63372 1425 13 a a DT 63372 1425 14 fourth fourth JJ 63372 1425 15 dimension dimension NN 63372 1425 16 is be VBZ 63372 1425 17 not not RB 63372 1425 18 particularly particularly RB 63372 1425 19 a a DT 63372 1425 20 new new JJ 63372 1425 21 one one NN 63372 1425 22 . . . 63372 1426 1 It -PRON- PRP 63372 1426 2 has have VBZ 63372 1426 3 been be VBN 63372 1426 4 a a DT 63372 1426 5 topic topic NN 63372 1426 6 of of IN 63372 1426 7 abstract abstract JJ 63372 1426 8 speculation speculation NN 63372 1426 9 for for IN 63372 1426 10 the the DT 63372 1426 11 best good JJS 63372 1426 12 part part NN 63372 1426 13 of of IN 63372 1426 14 a a DT 63372 1426 15 century century NN 63372 1426 16 , , , 63372 1426 17 even even RB 63372 1426 18 on on IN 63372 1426 19 the the DT 63372 1426 20 part part NN 63372 1426 21 of of IN 63372 1426 22 those those DT 63372 1426 23 whose whose WP$ 63372 1426 24 notions notion NNS 63372 1426 25 of of IN 63372 1426 26 the the DT 63372 1426 27 fourth fourth JJ 63372 1426 28 dimension dimension NN 63372 1426 29 were be VBD 63372 1426 30 pretty pretty RB 63372 1426 31 closely closely RB 63372 1426 32 tied tie VBN 63372 1426 33 down down RP 63372 1426 34 to to IN 63372 1426 35 the the DT 63372 1426 36 idea idea NN 63372 1426 37 of of IN 63372 1426 38 a a DT 63372 1426 39 fourth fourth JJ 63372 1426 40 dimension dimension NN 63372 1426 41 of of IN 63372 1426 42 Euclidean euclidean JJ 63372 1426 43 point point NN 63372 1426 44 - - HYPH 63372 1426 45 space space NN 63372 1426 46 , , , 63372 1426 47 which which WDT 63372 1426 48 would would MD 63372 1426 49 be be VB 63372 1426 50 marked mark VBN 63372 1426 51 by by IN 63372 1426 52 a a DT 63372 1426 53 fourth fourth JJ 63372 1426 54 real real JJ 63372 1426 55 line line NN 63372 1426 56 , , , 63372 1426 57 perpendicular perpendicular JJ 63372 1426 58 to to IN 63372 1426 59 the the DT 63372 1426 60 other other JJ 63372 1426 61 three three CD 63372 1426 62 , , , 63372 1426 63 and and CC 63372 1426 64 visible visible JJ 63372 1426 65 to to IN 63372 1426 66 us -PRON- PRP 63372 1426 67 if if IN 63372 1426 68 we -PRON- PRP 63372 1426 69 were be VBD 63372 1426 70 only only RB 63372 1426 71 able able JJ 63372 1426 72 to to TO 63372 1426 73 see see VB 63372 1426 74 it -PRON- PRP 63372 1426 75 . . . 63372 1427 1 Moreover moreover RB 63372 1427 2 , , , 63372 1427 3 every every DT 63372 1427 4 mathematician mathematician NN 63372 1427 5 , , , 63372 1427 6 whether whether IN 63372 1427 7 or or CC 63372 1427 8 not not RB 63372 1427 9 he -PRON- PRP 63372 1427 10 be be VB 63372 1427 11 inclined inclined JJ 63372 1427 12 to to IN 63372 1427 13 this this DT 63372 1427 14 sort sort NN 63372 1427 15 of of IN 63372 1427 16 mental mental JJ 63372 1427 17 exercise exercise NN 63372 1427 18 , , , 63372 1427 19 knows know VBZ 63372 1427 20 well well RB 63372 1427 21 that that IN 63372 1427 22 whenever whenever WRB 63372 1427 23 time time NN 63372 1427 24 enters enter VBZ 63372 1427 25 his -PRON- PRP$ 63372 1427 26 equations equation NNS 63372 1427 27 at at RB 63372 1427 28 all all RB 63372 1427 29 , , , 63372 1427 30 it -PRON- PRP 63372 1427 31 does do VBZ 63372 1427 32 so so RB 63372 1427 33 on on IN 63372 1427 34 an an DT 63372 1427 35 absolutely absolutely RB 63372 1427 36 equal equal JJ 63372 1427 37 footing footing NN 63372 1427 38 with with IN 63372 1427 39 each each DT 63372 1427 40 of of IN 63372 1427 41 his -PRON- PRP$ 63372 1427 42 space space NN 63372 1427 43 coordinates coordinate NNS 63372 1427 44 , , , 63372 1427 45 so so IN 63372 1427 46 that that IN 63372 1427 47 as as RB 63372 1427 48 far far RB 63372 1427 49 as as IN 63372 1427 50 his -PRON- PRP$ 63372 1427 51 algebra algebra NN 63372 1427 52 is be VBZ 63372 1427 53 concerned concern VBN 63372 1427 54 he -PRON- PRP 63372 1427 55 could could MD 63372 1427 56 never never RB 63372 1427 57 distinguish distinguish VB 63372 1427 58 between between IN 63372 1427 59 them -PRON- PRP 63372 1427 60 . . . 63372 1428 1 When when WRB 63372 1428 2 the the DT 63372 1428 3 variables variable NNS 63372 1428 4 $ $ $ 63372 1428 5 x$ x$ NNP 63372 1428 6 , , , 63372 1428 7 $ $ $ 63372 1428 8 y$ y$ NNP 63372 1428 9 , , , 63372 1428 10 $ $ $ 63372 1428 11 z$ z$ NNP 63372 1428 12 , , , 63372 1428 13 $ $ $ 63372 1428 14 t$ t$ NNP 63372 1428 15 come come VB 63372 1428 16 to to IN 63372 1428 17 the the DT 63372 1428 18 mathematician mathematician NN 63372 1428 19 in in IN 63372 1428 20 connection connection NN 63372 1428 21 with with IN 63372 1428 22 some some DT 63372 1428 23 physical physical JJ 63372 1428 24 investigation investigation NN 63372 1428 25 , , , 63372 1428 26 he -PRON- PRP 63372 1428 27 knows know VBZ 63372 1428 28 before before IN 63372 1428 29 he -PRON- PRP 63372 1428 30 starts start VBZ 63372 1428 31 that that IN 63372 1428 32 the the DT 63372 1428 33 first first JJ 63372 1428 34 three three CD 63372 1428 35 represent represent NN 63372 1428 36 the the DT 63372 1428 37 dimensions dimension NNS 63372 1428 38 of of IN 63372 1428 39 Euclidean Euclidean NNP 63372 1428 40 three three CD 63372 1428 41 - - HYPH 63372 1428 42 space space NN 63372 1428 43 and and CC 63372 1428 44 that that IN 63372 1428 45 the the DT 63372 1428 46 last last JJ 63372 1428 47 stands stand NNS 63372 1428 48 for for IN 63372 1428 49 time time NN 63372 1428 50 . . . 63372 1429 1 But but CC 63372 1429 2 if if IN 63372 1429 3 the the DT 63372 1429 4 algebraic algebraic JJ 63372 1429 5 expressions expression NNS 63372 1429 6 of of IN 63372 1429 7 such such PDT 63372 1429 8 a a DT 63372 1429 9 problem problem NN 63372 1429 10 were be VBD 63372 1429 11 handed hand VBN 63372 1429 12 to to IN 63372 1429 13 him -PRON- PRP 63372 1429 14 independently independently RB 63372 1429 15 of of IN 63372 1429 16 all all DT 63372 1429 17 physical physical JJ 63372 1429 18 tie tie NN 63372 1429 19 - - HYPH 63372 1429 20 up up NN 63372 1429 21 , , , 63372 1429 22 he -PRON- PRP 63372 1429 23 would would MD 63372 1429 24 never never RB 63372 1429 25 be be VB 63372 1429 26 able able JJ 63372 1429 27 to to TO 63372 1429 28 tell tell VB 63372 1429 29 , , , 63372 1429 30 from from IN 63372 1429 31 them -PRON- PRP 63372 1429 32 alone alone RB 63372 1429 33 , , , 63372 1429 34 whether whether IN 63372 1429 35 one one CD 63372 1429 36 of of IN 63372 1429 37 the the DT 63372 1429 38 four four CD 63372 1429 39 variables variable NNS 63372 1429 40 represented represent VBN 63372 1429 41 time time NN 63372 1429 42 , , , 63372 1429 43 or or CC 63372 1429 44 if if IN 63372 1429 45 so so RB 63372 1429 46 , , , 63372 1429 47 which which WDT 63372 1429 48 one one NN 63372 1429 49 to to TO 63372 1429 50 pick pick VB 63372 1429 51 out out RP 63372 1429 52 for for IN 63372 1429 53 this this DT 63372 1429 54 distinction distinction NN 63372 1429 55 . . . 63372 1430 1 It -PRON- PRP 63372 1430 2 was be VBD 63372 1430 3 Minkowski Minkowski NNP 63372 1430 4 who who WP 63372 1430 5 first first RB 63372 1430 6 formulated formulate VBD 63372 1430 7 all all PDT 63372 1430 8 this this DT 63372 1430 9 in in IN 63372 1430 10 a a DT 63372 1430 11 form form NN 63372 1430 12 susceptible susceptible JJ 63372 1430 13 of of IN 63372 1430 14 use use NN 63372 1430 15 in in IN 63372 1430 16 connection connection NN 63372 1430 17 with with IN 63372 1430 18 the the DT 63372 1430 19 theory theory NN 63372 1430 20 of of IN 63372 1430 21 relativity relativity NN 63372 1430 22 . . . 63372 1431 1 His -PRON- PRP$ 63372 1431 2 starting starting NN 63372 1431 3 point point NN 63372 1431 4 lies lie VBZ 63372 1431 5 in in IN 63372 1431 6 the the DT 63372 1431 7 distinction distinction NN 63372 1431 8 between between IN 63372 1431 9 the the DT 63372 1431 10 point point NN 63372 1431 11 and and CC 63372 1431 12 the the DT 63372 1431 13 event event NN 63372 1431 14 . . . 63372 1432 1 Mr. Mr. NNP 63372 1432 2 Francis Francis NNP 63372 1432 3 has have VBZ 63372 1432 4 brought bring VBN 63372 1432 5 this this DT 63372 1432 6 out out RP 63372 1432 7 rather rather RB 63372 1432 8 well well RB 63372 1432 9 in in IN 63372 1432 10 his -PRON- PRP$ 63372 1432 11 essay essay NN 63372 1432 12 , , , 63372 1432 13 being be VBG 63372 1432 14 the the DT 63372 1432 15 only only JJ 63372 1432 16 competitor competitor NN 63372 1432 17 to to TO 63372 1432 18 present present VB 63372 1432 19 the the DT 63372 1432 20 Euclidean Euclidean NNP 63372 1432 21 geometry geometry NN 63372 1432 22 as as IN 63372 1432 23 a a DT 63372 1432 24 real real JJ 63372 1432 25 predecessor predecessor NN 63372 1432 26 of of IN 63372 1432 27 Newtonian newtonian JJ 63372 1432 28 science science NN 63372 1432 29 , , , 63372 1432 30 rather rather RB 63372 1432 31 than than IN 63372 1432 32 as as IN 63372 1432 33 a a DT 63372 1432 34 mere mere JJ 63372 1432 35 part part NN 63372 1432 36 of of IN 63372 1432 37 the the DT 63372 1432 38 Newtonian newtonian JJ 63372 1432 39 system system NN 63372 1432 40 . . . 63372 1433 1 I -PRON- PRP 63372 1433 2 think think VBP 63372 1433 3 his -PRON- PRP$ 63372 1433 4 point point NN 63372 1433 5 here here RB 63372 1433 6 is be VBZ 63372 1433 7 very very RB 63372 1433 8 well well RB 63372 1433 9 taken take VBN 63372 1433 10 . . . 63372 1434 1 As as IN 63372 1434 2 he -PRON- PRP 63372 1434 3 says say VBZ 63372 1434 4 , , , 63372 1434 5 Euclid Euclid NNP 63372 1434 6 looked look VBD 63372 1434 7 into into IN 63372 1434 8 the the DT 63372 1434 9 world world NN 63372 1434 10 about about IN 63372 1434 11 him -PRON- PRP 63372 1434 12 and and CC 63372 1434 13 saw see VBD 63372 1434 14 it -PRON- PRP 63372 1434 15 composed compose VBN 63372 1434 16 of of IN 63372 1434 17 points point NNS 63372 1434 18 . . . 63372 1435 1 Ignoring ignore VBG 63372 1435 2 all all DT 63372 1435 3 dynamic dynamic JJ 63372 1435 4 considerations consideration NNS 63372 1435 5 , , , 63372 1435 6 he -PRON- PRP 63372 1435 7 built build VBD 63372 1435 8 up up RP 63372 1435 9 in in IN 63372 1435 10 his -PRON- PRP$ 63372 1435 11 mind mind NN 63372 1435 12 a a DT 63372 1435 13 static static JJ 63372 1435 14 world world NN 63372 1435 15 of of IN 63372 1435 16 points point NNS 63372 1435 17 , , , 63372 1435 18 and and CC 63372 1435 19 constructed construct VBD 63372 1435 20 his -PRON- PRP$ 63372 1435 21 geometry geometry NN 63372 1435 22 as as IN 63372 1435 23 a a DT 63372 1435 24 scientific scientific JJ 63372 1435 25 machine machine NN 63372 1435 26 for for IN 63372 1435 27 dealing deal VBG 63372 1435 28 with with IN 63372 1435 29 this this DT 63372 1435 30 world world NN 63372 1435 31 in in IN 63372 1435 32 which which WDT 63372 1435 33 motion motion NN 63372 1435 34 played play VBD 63372 1435 35 no no DT 63372 1435 36 part part NN 63372 1435 37 . . . 63372 1436 1 It -PRON- PRP 63372 1436 2 could could MD 63372 1436 3 to to TO 63372 1436 4 be be VB 63372 1436 5 sure sure JJ 63372 1436 6 be be VB 63372 1436 7 introduced introduce VBN 63372 1436 8 by by IN 63372 1436 9 the the DT 63372 1436 10 observer observer NN 63372 1436 11 for for IN 63372 1436 12 his -PRON- PRP$ 63372 1436 13 own own JJ 63372 1436 14 purposes purpose NNS 63372 1436 15 , , , 63372 1436 16 but but CC 63372 1436 17 when when WRB 63372 1436 18 so so RB 63372 1436 19 introduced introduce VBD 63372 1436 20 it -PRON- PRP 63372 1436 21 was be VBD 63372 1436 22 specifically specifically RB 63372 1436 23 postulated postulate VBN 63372 1436 24 to to TO 63372 1436 25 be be VB 63372 1436 26 a a DT 63372 1436 27 matter matter NN 63372 1436 28 of of IN 63372 1436 29 no no DT 63372 1436 30 moment moment NN 63372 1436 31 at at RB 63372 1436 32 all all RB 63372 1436 33 to to IN 63372 1436 34 the the DT 63372 1436 35 points point NNS 63372 1436 36 or or CC 63372 1436 37 lines line NNS 63372 1436 38 or or CC 63372 1436 39 figures figure NNS 63372 1436 40 that that WDT 63372 1436 41 were be VBD 63372 1436 42 moved move VBN 63372 1436 43 . . . 63372 1437 1 It -PRON- PRP 63372 1437 2 was be VBD 63372 1437 3 purely purely RB 63372 1437 4 an an DT 63372 1437 5 observational observational JJ 63372 1437 6 device device NN 63372 1437 7 , , , 63372 1437 8 intended intend VBN 63372 1437 9 for for IN 63372 1437 10 the the DT 63372 1437 11 observer observer NN 63372 1437 12 's 's POS 63372 1437 13 convenience convenience NN 63372 1437 14 , , , 63372 1437 15 and and CC 63372 1437 16 in in IN 63372 1437 17 the the DT 63372 1437 18 bargain bargain NN 63372 1437 19 a a DT 63372 1437 20 mental mental JJ 63372 1437 21 device device NN 63372 1437 22 , , , 63372 1437 23 calling call VBG 63372 1437 24 for for IN 63372 1437 25 no no DT 63372 1437 26 physical physical JJ 63372 1437 27 action action NN 63372 1437 28 and and CC 63372 1437 29 the the DT 63372 1437 30 play play NN 63372 1437 31 of of IN 63372 1437 32 no no DT 63372 1437 33 force force NN 63372 1437 34 . . . 63372 1438 1 So so RB 63372 1438 2 far far RB 63372 1438 3 as as IN 63372 1438 4 Euclid Euclid NNP 63372 1438 5 in in IN 63372 1438 6 his -PRON- PRP$ 63372 1438 7 daily daily JJ 63372 1438 8 life life NN 63372 1438 9 was be VBD 63372 1438 10 obliged oblige VBN 63372 1438 11 to to TO 63372 1438 12 take take VB 63372 1438 13 cognizance cognizance NN 63372 1438 14 of of IN 63372 1438 15 the the DT 63372 1438 16 fact fact NN 63372 1438 17 that that IN 63372 1438 18 in in IN 63372 1438 19 the the DT 63372 1438 20 world world NN 63372 1438 21 of of IN 63372 1438 22 work work NN 63372 1438 23 - - HYPH 63372 1438 24 a a DT 63372 1438 25 - - HYPH 63372 1438 26 day day NN 63372 1438 27 realities reality NNS 63372 1438 28 motion motion NN 63372 1438 29 existed exist VBD 63372 1438 30 , , , 63372 1438 31 he -PRON- PRP 63372 1438 32 must must MD 63372 1438 33 , , , 63372 1438 34 as as IN 63372 1438 35 a a DT 63372 1438 36 true true JJ 63372 1438 37 Greek Greek NNP 63372 1438 38 , , , 63372 1438 39 have have VBP 63372 1438 40 looked look VBN 63372 1438 41 upon upon IN 63372 1438 42 this this DT 63372 1438 43 as as IN 63372 1438 44 a a DT 63372 1438 45 most most RBS 63372 1438 46 unfortunate unfortunate JJ 63372 1438 47 deviation deviation NN 63372 1438 48 of of IN 63372 1438 49 the the DT 63372 1438 50 reality reality NN 63372 1438 51 from from IN 63372 1438 52 his -PRON- PRP$ 63372 1438 53 beautiful beautiful JJ 63372 1438 54 world world NN 63372 1438 55 of of IN 63372 1438 56 intellectual intellectual JJ 63372 1438 57 abstraction abstraction NN 63372 1438 58 , , , 63372 1438 59 and and CC 63372 1438 60 as as IN 63372 1438 61 something something NN 63372 1438 62 to to TO 63372 1438 63 be be VB 63372 1438 64 deplored deplore VBN 63372 1438 65 and and CC 63372 1438 66 ignored ignore VBN 63372 1438 67 . . . 63372 1439 1 Even even RB 63372 1439 2 in in IN 63372 1439 3 their -PRON- PRP$ 63372 1439 4 statuary statuary NN 63372 1439 5 the the DT 63372 1439 6 Greeks Greeks NNPS 63372 1439 7 clung clung NN 63372 1439 8 to to IN 63372 1439 9 this this DT 63372 1439 10 idea idea NN 63372 1439 11 . . . 63372 1440 1 A a DT 63372 1440 2 group group NN 63372 1440 3 of of IN 63372 1440 4 marvelous marvelous JJ 63372 1440 5 action action NN 63372 1440 6 , , , 63372 1440 7 like like IN 63372 1440 8 the the DT 63372 1440 9 Laocoon Laocoon NNP 63372 1440 10 , , , 63372 1440 11 they -PRON- PRP 63372 1440 12 held hold VBD 63372 1440 13 to to TO 63372 1440 14 be be VB 63372 1440 15 distinctly distinctly RB 63372 1440 16 a a DT 63372 1440 17 second second JJ 63372 1440 18 rate rate NN 63372 1440 19 production production NN 63372 1440 20 , , , 63372 1440 21 a a DT 63372 1440 22 prostitution prostitution NN 63372 1440 23 of of IN 63372 1440 24 the the DT 63372 1440 25 noble noble JJ 63372 1440 26 art art NN 63372 1440 27 ; ; : 63372 1440 28 their -PRON- PRP$ 63372 1440 29 ideal ideal NN 63372 1440 30 was be VBD 63372 1440 31 a a DT 63372 1440 32 figure figure NN 63372 1440 33 like like IN 63372 1440 34 the the DT 63372 1440 35 majestic majestic JJ 63372 1440 36 Zeus Zeus NNP 63372 1440 37 -- -- : 63372 1440 38 not not RB 63372 1440 39 necessarily necessarily RB 63372 1440 40 a a DT 63372 1440 41 mere mere JJ 63372 1440 42 bust bust NN 63372 1440 43 , , , 63372 1440 44 be be VB 63372 1440 45 it -PRON- PRP 63372 1440 46 understood understand VBN 63372 1440 47 , , , 63372 1440 48 but but CC 63372 1440 49 always always RB 63372 1440 50 a a DT 63372 1440 51 figure figure NN 63372 1440 52 in in IN 63372 1440 53 repose repose NN 63372 1440 54 without without IN 63372 1440 55 action action NN 63372 1440 56 . . . 63372 1441 1 Their -PRON- PRP$ 63372 1441 2 statuary statuary NN 63372 1441 3 stood stand VBD 63372 1441 4 for for IN 63372 1441 5 things thing NNS 63372 1441 6 , , , 63372 1441 7 not not RB 63372 1441 8 for for IN 63372 1441 9 action action NN 63372 1441 10 , , , 63372 1441 11 just just RB 63372 1441 12 as as IN 63372 1441 13 their -PRON- PRP$ 63372 1441 14 geometry geometry NN 63372 1441 15 stood stand VBD 63372 1441 16 for for IN 63372 1441 17 points point NNS 63372 1441 18 , , , 63372 1441 19 not not RB 63372 1441 20 for for IN 63372 1441 21 events event NNS 63372 1441 22 . . . 63372 1442 1 Galileo Galileo NNP 63372 1442 2 and and CC 63372 1442 3 Newton Newton NNP 63372 1442 4 took take VBD 63372 1442 5 a a DT 63372 1442 6 different different JJ 63372 1442 7 viewpoint viewpoint NN 63372 1442 8 . . . 63372 1443 1 They -PRON- PRP 63372 1443 2 were be VBD 63372 1443 3 interested interested JJ 63372 1443 4 in in IN 63372 1443 5 the the DT 63372 1443 6 world world NN 63372 1443 7 as as IN 63372 1443 8 it -PRON- PRP 63372 1443 9 is be VBZ 63372 1443 10 , , , 63372 1443 11 not not RB 63372 1443 12 as as IN 63372 1443 13 it -PRON- PRP 63372 1443 14 ought ought MD 63372 1443 15 to to TO 63372 1443 16 be be VB 63372 1443 17 ; ; : 63372 1443 18 and and CC 63372 1443 19 if if IN 63372 1443 20 motion motion NN 63372 1443 21 appears appear VBZ 63372 1443 22 to to TO 63372 1443 23 be be VB 63372 1443 24 a a DT 63372 1443 25 fundamental fundamental JJ 63372 1443 26 part part NN 63372 1443 27 of of IN 63372 1443 28 that that DT 63372 1443 29 world world NN 63372 1443 30 , , , 63372 1443 31 they -PRON- PRP 63372 1443 32 were be VBD 63372 1443 33 bound bind VBN 63372 1443 34 to to TO 63372 1443 35 include include VB 63372 1443 36 it -PRON- PRP 63372 1443 37 in in IN 63372 1443 38 their -PRON- PRP$ 63372 1443 39 scheme scheme NN 63372 1443 40 . . . 63372 1444 1 This this DT 63372 1444 2 made make VBD 63372 1444 3 it -PRON- PRP 63372 1444 4 necessary necessary JJ 63372 1444 5 for for IN 63372 1444 6 them -PRON- PRP 63372 1444 7 to to TO 63372 1444 8 pay pay VB 63372 1444 9 much much RB 63372 1444 10 more more JJR 63372 1444 11 attention attention NN 63372 1444 12 to to IN 63372 1444 13 the the DT 63372 1444 14 concept concept NN 63372 1444 15 of of IN 63372 1444 16 time time NN 63372 1444 17 and and CC 63372 1444 18 its -PRON- PRP$ 63372 1444 19 place place NN 63372 1444 20 in in IN 63372 1444 21 the the DT 63372 1444 22 world world NN 63372 1444 23 than than IN 63372 1444 24 did do VBD 63372 1444 25 the the DT 63372 1444 26 Greeks Greeks NNPS 63372 1444 27 . . . 63372 1445 1 In in IN 63372 1445 2 the the DT 63372 1445 3 superposition superposition NN 63372 1445 4 process process NN 63372 1445 5 , , , 63372 1445 6 and and CC 63372 1445 7 even even RB 63372 1445 8 when when WRB 63372 1445 9 he -PRON- PRP 63372 1445 10 allowed allow VBD 63372 1445 11 a a DT 63372 1445 12 curve curve NN 63372 1445 13 to to TO 63372 1445 14 be be VB 63372 1445 15 generated generate VBN 63372 1445 16 by by IN 63372 1445 17 a a DT 63372 1445 18 moving moving NN 63372 1445 19 point point NN 63372 1445 20 , , , 63372 1445 21 the the DT 63372 1445 22 sole sole JJ 63372 1445 23 interest interest NN 63372 1445 24 which which WDT 63372 1445 25 Euclid Euclid NNP 63372 1445 26 had have VBD 63372 1445 27 in in IN 63372 1445 28 the the DT 63372 1445 29 motion motion NN 63372 1445 30 was be VBD 63372 1445 31 the the DT 63372 1445 32 effect effect NN 63372 1445 33 which which WDT 63372 1445 34 was be VBD 63372 1445 35 to to TO 63372 1445 36 be be VB 63372 1445 37 observed observe VBN 63372 1445 38 upon upon IN 63372 1445 39 his -PRON- PRP$ 63372 1445 40 static static JJ 63372 1445 41 figures figure NNS 63372 1445 42 after after IN 63372 1445 43 its -PRON- PRP$ 63372 1445 44 completion completion NN 63372 1445 45 . . . 63372 1446 1 In in IN 63372 1446 2 this this DT 63372 1446 3 effect effect NN 63372 1446 4 the the DT 63372 1446 5 rate rate NN 63372 1446 6 of of IN 63372 1446 7 the the DT 63372 1446 8 motion motion NN 63372 1446 9 did do VBD 63372 1446 10 not not RB 63372 1446 11 enter enter VB 63372 1446 12 . . . 63372 1447 1 So so RB 63372 1447 2 all all DT 63372 1447 3 questions question NNS 63372 1447 4 of of IN 63372 1447 5 velocity velocity NN 63372 1447 6 and and CC 63372 1447 7 time time NN 63372 1447 8 are be VBP 63372 1447 9 completely completely RB 63372 1447 10 ignored ignore VBN 63372 1447 11 , , , 63372 1447 12 and and CC 63372 1447 13 we -PRON- PRP 63372 1447 14 have have VBP 63372 1447 15 in in IN 63372 1447 16 fact fact NN 63372 1447 17 the the DT 63372 1447 18 curious curious JJ 63372 1447 19 spectacle spectacle NN 63372 1447 20 of of IN 63372 1447 21 motion motion NN 63372 1447 22 without without IN 63372 1447 23 time time NN 63372 1447 24 . . . 63372 1448 1 To to IN 63372 1448 2 Galileo Galileo NNP 63372 1448 3 and and CC 63372 1448 4 Newton Newton NNP 63372 1448 5 , , , 63372 1448 6 on on IN 63372 1448 7 the the DT 63372 1448 8 other other JJ 63372 1448 9 hand hand NN 63372 1448 10 , , , 63372 1448 11 the the DT 63372 1448 12 time time NN 63372 1448 13 which which WDT 63372 1448 14 it -PRON- PRP 63372 1448 15 took take VBD 63372 1448 16 a a DT 63372 1448 17 body body NN 63372 1448 18 to to TO 63372 1448 19 pass pass VB 63372 1448 20 from from IN 63372 1448 21 one one CD 63372 1448 22 point point NN 63372 1448 23 of of IN 63372 1448 24 its -PRON- PRP$ 63372 1448 25 path path NN 63372 1448 26 to to IN 63372 1448 27 another another DT 63372 1448 28 was be VBD 63372 1448 29 of of IN 63372 1448 30 paramount paramount JJ 63372 1448 31 importance importance NN 63372 1448 32 . . . 63372 1449 1 The the DT 63372 1449 2 motion motion NN 63372 1449 3 itself -PRON- PRP 63372 1449 4 was be VBD 63372 1449 5 the the DT 63372 1449 6 object object NN 63372 1449 7 of of IN 63372 1449 8 their -PRON- PRP$ 63372 1449 9 study study NN 63372 1449 10 , , , 63372 1449 11 and and CC 63372 1449 12 they -PRON- PRP 63372 1449 13 recognized recognize VBD 63372 1449 14 the the DT 63372 1449 15 part part NN 63372 1449 16 played play VBN 63372 1449 17 by by IN 63372 1449 18 velocity velocity NN 63372 1449 19 . . . 63372 1450 1 But but CC 63372 1450 2 Galileo Galileo NNP 63372 1450 3 and and CC 63372 1450 4 Newton Newton NNP 63372 1450 5 were be VBD 63372 1450 6 still still RB 63372 1450 7 sufficiently sufficiently RB 63372 1450 8 under under IN 63372 1450 9 the the DT 63372 1450 10 influence influence NN 63372 1450 11 of of IN 63372 1450 12 Euclid Euclid NNP 63372 1450 13 to to TO 63372 1450 14 fit fit VB 63372 1450 15 the the DT 63372 1450 16 observed observed JJ 63372 1450 17 phenomena phenomenon NNS 63372 1450 18 of of IN 63372 1450 19 motion motion NN 63372 1450 20 , , , 63372 1450 21 so so RB 63372 1450 22 far far RB 63372 1450 23 as as IN 63372 1450 24 they -PRON- PRP 63372 1450 25 could could MD 63372 1450 26 , , , 63372 1450 27 upon upon IN 63372 1450 28 Euclid Euclid NNP 63372 1450 29 's 's POS 63372 1450 30 static static JJ 63372 1450 31 world world NN 63372 1450 32 of of IN 63372 1450 33 points point NNS 63372 1450 34 . . . 63372 1451 1 This this DT 63372 1451 2 they -PRON- PRP 63372 1451 3 effected effect VBD 63372 1451 4 by by IN 63372 1451 5 falling fall VBG 63372 1451 6 in in RP 63372 1451 7 with with IN 63372 1451 8 the the DT 63372 1451 9 age age NN 63372 1451 10 - - HYPH 63372 1451 11 old old JJ 63372 1451 12 procedure procedure NN 63372 1451 13 of of IN 63372 1451 14 regarding regard VBG 63372 1451 15 time time NN 63372 1451 16 and and CC 63372 1451 17 space space NN 63372 1451 18 as as IN 63372 1451 19 something something NN 63372 1451 20 entirely entirely RB 63372 1451 21 disassociated disassociated JJ 63372 1451 22 and and CC 63372 1451 23 distinct distinct JJ 63372 1451 24 . . . 63372 1452 1 The the DT 63372 1452 2 motion motion NN 63372 1452 3 of of IN 63372 1452 4 an an DT 63372 1452 5 object object NN 63372 1452 6 -- -- : 63372 1452 7 in in IN 63372 1452 8 theory theory NN 63372 1452 9 , , , 63372 1452 10 of of IN 63372 1452 11 a a DT 63372 1452 12 point point NN 63372 1452 13 -- -- : 63372 1452 14 was be VBD 63372 1452 15 to to TO 63372 1452 16 be be VB 63372 1452 17 recorded record VBN 63372 1452 18 by by IN 63372 1452 19 observing observe VBG 63372 1452 20 its -PRON- PRP$ 63372 1452 21 successive successive JJ 63372 1452 22 positions position NNS 63372 1452 23 . . . 63372 1453 1 With with IN 63372 1453 2 each each DT 63372 1453 3 of of IN 63372 1453 4 these these DT 63372 1453 5 positions position NNS 63372 1453 6 a a DT 63372 1453 7 time time NN 63372 1453 8 was be VBD 63372 1453 9 to to TO 63372 1453 10 be be VB 63372 1453 11 associated associate VBN 63372 1453 12 , , , 63372 1453 13 marking mark VBG 63372 1453 14 the the DT 63372 1453 15 instant instant NN 63372 1453 16 at at IN 63372 1453 17 which which WDT 63372 1453 18 the the DT 63372 1453 19 point point NN 63372 1453 20 attained attain VBD 63372 1453 21 that that DT 63372 1453 22 position position NN 63372 1453 23 . . . 63372 1454 1 But but CC 63372 1454 2 in in IN 63372 1454 3 the the DT 63372 1454 4 face face NN 63372 1454 5 of of IN 63372 1454 6 this this DT 63372 1454 7 association association NN 63372 1454 8 , , , 63372 1454 9 space space NN 63372 1454 10 and and CC 63372 1454 11 time time NN 63372 1454 12 were be VBD 63372 1454 13 to to TO 63372 1454 14 be be VB 63372 1454 15 maintained maintain VBN 63372 1454 16 as as IN 63372 1454 17 entirely entirely RB 63372 1454 18 separate separate JJ 63372 1454 19 entities entity NNS 63372 1454 20 . . . 63372 1455 1 THE the DT 63372 1455 2 FOUR FOUR NNP 63372 1455 3 - - HYPH 63372 1455 4 DIMENSIONAL DIMENSIONAL NNP 63372 1455 5 WORLD world NN 63372 1455 6 OF of IN 63372 1455 7 EVENTS EVENTS NNP 63372 1455 8 This this DT 63372 1455 9 severe severe JJ 63372 1455 10 separation separation NN 63372 1455 11 of of IN 63372 1455 12 time time NN 63372 1455 13 and and CC 63372 1455 14 space space NN 63372 1455 15 Minkowski Minkowski NNP 63372 1455 16 has have VBZ 63372 1455 17 now now RB 63372 1455 18 questioned question VBN 63372 1455 19 , , , 63372 1455 20 with with IN 63372 1455 21 the the DT 63372 1455 22 statement statement NN 63372 1455 23 that that IN 63372 1455 24 the the DT 63372 1455 25 elements element NNS 63372 1455 26 of of IN 63372 1455 27 which which WDT 63372 1455 28 the the DT 63372 1455 29 external external JJ 63372 1455 30 world world NN 63372 1455 31 is be VBZ 63372 1455 32 composed compose VBN 63372 1455 33 , , , 63372 1455 34 and and CC 63372 1455 35 which which WDT 63372 1455 36 we -PRON- PRP 63372 1455 37 observe observe VBP 63372 1455 38 , , , 63372 1455 39 are be VBP 63372 1455 40 not not RB 63372 1455 41 points point NNS 63372 1455 42 at at RB 63372 1455 43 all all RB 63372 1455 44 , , , 63372 1455 45 but but CC 63372 1455 46 are be VBP 63372 1455 47 events event NNS 63372 1455 48 . . . 63372 1456 1 This this DT 63372 1456 2 calls call VBZ 63372 1456 3 for for IN 63372 1456 4 a a DT 63372 1456 5 revision revision NN 63372 1456 6 of of IN 63372 1456 7 our -PRON- PRP$ 63372 1456 8 whole whole JJ 63372 1456 9 habit habit NN 63372 1456 10 of of IN 63372 1456 11 thought thought NN 63372 1456 12 . . . 63372 1457 1 It -PRON- PRP 63372 1457 2 means mean VBZ 63372 1457 3 that that IN 63372 1457 4 the the DT 63372 1457 5 perceptual perceptual JJ 63372 1457 6 world world NN 63372 1457 7 is be VBZ 63372 1457 8 four four CD 63372 1457 9 - - HYPH 63372 1457 10 dimensioned dimension VBN 63372 1457 11 , , , 63372 1457 12 not not RB 63372 1457 13 three three CD 63372 1457 14 - - HYPH 63372 1457 15 dimensioned dimension VBN 63372 1457 16 as as IN 63372 1457 17 we -PRON- PRP 63372 1457 18 have have VBP 63372 1457 19 always always RB 63372 1457 20 supposed suppose VBN 63372 1457 21 ; ; : 63372 1457 22 and and CC 63372 1457 23 it -PRON- PRP 63372 1457 24 means mean VBZ 63372 1457 25 , , , 63372 1457 26 at at IN 63372 1457 27 the the DT 63372 1457 28 very very RB 63372 1457 29 least least JJS 63372 1457 30 , , , 63372 1457 31 that that IN 63372 1457 32 the the DT 63372 1457 33 distinction distinction NN 63372 1457 34 between between IN 63372 1457 35 time time NN 63372 1457 36 and and CC 63372 1457 37 space space NN 63372 1457 38 is be VBZ 63372 1457 39 not not RB 63372 1457 40 so so RB 63372 1457 41 fundamental fundamental JJ 63372 1457 42 as as IN 63372 1457 43 we -PRON- PRP 63372 1457 44 had have VBD 63372 1457 45 supposed suppose VBN 63372 1457 46 . . . 63372 1458 1 [ [ -LRB- 63372 1458 2 This this DT 63372 1458 3 should should MD 63372 1458 4 not not RB 63372 1458 5 impress impress VB 63372 1458 6 us -PRON- PRP 63372 1458 7 as as RB 63372 1458 8 strange strange JJ 63372 1458 9 or or CC 63372 1458 10 incomprehensible incomprehensible JJ 63372 1458 11 . . . 63372 1459 1 What what WP 63372 1459 2 do do VBP 63372 1459 3 we -PRON- PRP 63372 1459 4 mean mean VB 63372 1459 5 when when WRB 63372 1459 6 we -PRON- PRP 63372 1459 7 say say VBP 63372 1459 8 that that IN 63372 1459 9 a a DT 63372 1459 10 plane plane NN 63372 1459 11 is be VBZ 63372 1459 12 two two CD 63372 1459 13 - - HYPH 63372 1459 14 dimensional dimensional JJ 63372 1459 15 ? ? . 63372 1460 1 Simply simply RB 63372 1460 2 that that IN 63372 1460 3 two two CD 63372 1460 4 coordinates coordinate NNS 63372 1460 5 , , , 63372 1460 6 two two CD 63372 1460 7 numbers number NNS 63372 1460 8 , , , 63372 1460 9 must must MD 63372 1460 10 be be VB 63372 1460 11 given give VBN 63372 1460 12 to to TO 63372 1460 13 specify specify VB 63372 1460 14 the the DT 63372 1460 15 position position NN 63372 1460 16 of of IN 63372 1460 17 any any DT 63372 1460 18 point point NN 63372 1460 19 of of IN 63372 1460 20 the the DT 63372 1460 21 plane plane NN 63372 1460 22 . . . 63372 1461 1 Similarly similarly RB 63372 1461 2 for for IN 63372 1461 3 a a DT 63372 1461 4 point point NN 63372 1461 5 in in IN 63372 1461 6 the the DT 63372 1461 7 space space NN 63372 1461 8 of of IN 63372 1461 9 our -PRON- PRP$ 63372 1461 10 accustomed accustomed JJ 63372 1461 11 concepts concept NNS 63372 1461 12 we -PRON- PRP 63372 1461 13 must must MD 63372 1461 14 give give VB 63372 1461 15 three three CD 63372 1461 16 numbers number NNS 63372 1461 17 to to TO 63372 1461 18 fix fix VB 63372 1461 19 the the DT 63372 1461 20 position position NN 63372 1461 21 -- -- : 63372 1461 22 as as IN 63372 1461 23 by by IN 63372 1461 24 giving give VBG 63372 1461 25 the the DT 63372 1461 26 latitude latitude NN 63372 1461 27 and and CC 63372 1461 28 longitude longitude NN 63372 1461 29 of of IN 63372 1461 30 a a DT 63372 1461 31 point point NN 63372 1461 32 on on IN 63372 1461 33 the the DT 63372 1461 34 earth earth NN 63372 1461 35 and and CC 63372 1461 36 its -PRON- PRP$ 63372 1461 37 height height NN 63372 1461 38 above above IN 63372 1461 39 sea sea NN 63372 1461 40 - - HYPH 63372 1461 41 level level NN 63372 1461 42 . . . 63372 1462 1 So so RB 63372 1462 2 we -PRON- PRP 63372 1462 3 say say VBP 63372 1462 4 this this DT 63372 1462 5 space space NN 63372 1462 6 is be VBZ 63372 1462 7 three three CD 63372 1462 8 - - HYPH 63372 1462 9 dimensional dimensional JJ 63372 1462 10 . . . 63372 1463 1 But but CC 63372 1463 2 a a DT 63372 1463 3 material material JJ 63372 1463 4 body body NN 63372 1463 5 is be VBZ 63372 1463 6 not not RB 63372 1463 7 merely merely RB 63372 1463 8 somewhere somewhere RB 63372 1463 9 ; ; : 63372 1463 10 it -PRON- PRP 63372 1463 11 is be VBZ 63372 1463 12 somewhere somewhere RB 63372 1463 13 now,]182 now,]182 NNP 63372 1463 14 or or CC 63372 1463 15 was be VBD 63372 1463 16 somewhere somewhere RB 63372 1463 17 yesterday yesterday NN 63372 1463 18 , , , 63372 1463 19 or or CC 63372 1463 20 will will MD 63372 1463 21 be be VB 63372 1463 22 somewhere somewhere RB 63372 1463 23 tomorrow tomorrow NN 63372 1463 24 . . . 63372 1464 1 The the DT 63372 1464 2 statement statement NN 63372 1464 3 of of IN 63372 1464 4 position position NN 63372 1464 5 for for IN 63372 1464 6 a a DT 63372 1464 7 material material JJ 63372 1464 8 object object NN 63372 1464 9 is be VBZ 63372 1464 10 meaningless meaningless JJ 63372 1464 11 unless unless IN 63372 1464 12 we -PRON- PRP 63372 1464 13 at at IN 63372 1464 14 the the DT 63372 1464 15 same same JJ 63372 1464 16 time time NN 63372 1464 17 specify specify VB 63372 1464 18 the the DT 63372 1464 19 time time NN 63372 1464 20 at at IN 63372 1464 21 which which WDT 63372 1464 22 it -PRON- PRP 63372 1464 23 held hold VBD 63372 1464 24 that that DT 63372 1464 25 position position NN 63372 1464 26 . . . 63372 1465 1 [ [ -LRB- 63372 1465 2 If if IN 63372 1465 3 I -PRON- PRP 63372 1465 4 am be VBP 63372 1465 5 considering consider VBG 63372 1465 6 the the DT 63372 1465 7 life life NN 63372 1465 8 - - HYPH 63372 1465 9 history history NN 63372 1465 10 of of IN 63372 1465 11 an an DT 63372 1465 12 object object NN 63372 1465 13 on on IN 63372 1465 14 a a DT 63372 1465 15 moving move VBG 63372 1465 16 train train NN 63372 1465 17 , , , 63372 1465 18 I -PRON- PRP 63372 1465 19 must must MD 63372 1465 20 give give VB 63372 1465 21 three three CD 63372 1465 22 space space NN 63372 1465 23 - - HYPH 63372 1465 24 coordinates coordinate NNS 63372 1465 25 and and CC 63372 1465 26 one one CD 63372 1465 27 time time NN 63372 1465 28 - - HYPH 63372 1465 29 coordinate coordinate VB 63372 1465 30 to to TO 63372 1465 31 fix fix VB 63372 1465 32 each each DT 63372 1465 33 of of IN 63372 1465 34 its -PRON- PRP$ 63372 1465 35 positions position NNS 63372 1465 36 . . . 63372 1466 1 ] ] -RRB- 63372 1466 2 182 182 CD 63372 1466 3 And and CC 63372 1466 4 each each DT 63372 1466 5 of of IN 63372 1466 6 its -PRON- PRP$ 63372 1466 7 positions position NNS 63372 1466 8 , , , 63372 1466 9 with with IN 63372 1466 10 the the DT 63372 1466 11 time time NN 63372 1466 12 pertaining pertain VBG 63372 1466 13 to to IN 63372 1466 14 that that DT 63372 1466 15 position position NN 63372 1466 16 , , , 63372 1466 17 constitutes constitute VBZ 63372 1466 18 an an DT 63372 1466 19 event event NN 63372 1466 20 . . . 63372 1467 1 The the DT 63372 1467 2 dynamic dynamic JJ 63372 1467 3 , , , 63372 1467 4 ever ever RB 63372 1467 5 - - HYPH 63372 1467 6 changing change VBG 63372 1467 7 world world NN 63372 1467 8 about about IN 63372 1467 9 us -PRON- PRP 63372 1467 10 , , , 63372 1467 11 that that DT 63372 1467 12 shows show VBZ 63372 1467 13 the the DT 63372 1467 14 same same JJ 63372 1467 15 aspect aspect NN 63372 1467 16 at at IN 63372 1467 17 no no DT 63372 1467 18 two two CD 63372 1467 19 different different JJ 63372 1467 20 moments moment NNS 63372 1467 21 , , , 63372 1467 22 is be VBZ 63372 1467 23 a a DT 63372 1467 24 world world NN 63372 1467 25 of of IN 63372 1467 26 events event NNS 63372 1467 27 ; ; : 63372 1467 28 and and CC 63372 1467 29 since since IN 63372 1467 30 four four CD 63372 1467 31 measures measure NNS 63372 1467 32 or or CC 63372 1467 33 coordinates coordinate NNS 63372 1467 34 are be VBP 63372 1467 35 required require VBN 63372 1467 36 to to TO 63372 1467 37 fix fix VB 63372 1467 38 an an DT 63372 1467 39 event event NN 63372 1467 40 , , , 63372 1467 41 we -PRON- PRP 63372 1467 42 say say VBP 63372 1467 43 this this DT 63372 1467 44 world world NN 63372 1467 45 of of IN 63372 1467 46 events event NNS 63372 1467 47 is be VBZ 63372 1467 48 four four CD 63372 1467 49 - - HYPH 63372 1467 50 dimensional dimensional JJ 63372 1467 51 . . . 63372 1468 1 If if IN 63372 1468 2 we -PRON- PRP 63372 1468 3 wish wish VBP 63372 1468 4 to to TO 63372 1468 5 test test VB 63372 1468 6 out out RP 63372 1468 7 the the DT 63372 1468 8 soundness soundness NN 63372 1468 9 of of IN 63372 1468 10 this this DT 63372 1468 11 viewpoint viewpoint NN 63372 1468 12 , , , 63372 1468 13 we -PRON- PRP 63372 1468 14 may may MD 63372 1468 15 well well RB 63372 1468 16 do do VB 63372 1468 17 so so RB 63372 1468 18 by by IN 63372 1468 19 asking ask VBG 63372 1468 20 whether whether IN 63372 1468 21 the the DT 63372 1468 22 naming naming NN 63372 1468 23 of of IN 63372 1468 24 values value NNS 63372 1468 25 for for IN 63372 1468 26 the the DT 63372 1468 27 four four CD 63372 1468 28 coordinates coordinate NNS 63372 1468 29 fixes fix NNS 63372 1468 30 the the DT 63372 1468 31 event event NN 63372 1468 32 uniquely uniquely RB 63372 1468 33 , , , 63372 1468 34 as as IN 63372 1468 35 the the DT 63372 1468 36 naming naming NN 63372 1468 37 of of IN 63372 1468 38 three three CD 63372 1468 39 under under IN 63372 1468 40 the the DT 63372 1468 41 old old JJ 63372 1468 42 system system NN 63372 1468 43 fixes fix VBZ 63372 1468 44 the the DT 63372 1468 45 point point NN 63372 1468 46 uniquely uniquely RB 63372 1468 47 . . . 63372 1469 1 Suppose suppose VB 63372 1469 2 we -PRON- PRP 63372 1469 3 take take VBP 63372 1469 4 some some DT 63372 1469 5 particular particular JJ 63372 1469 6 event event NN 63372 1469 7 as as IN 63372 1469 8 the the DT 63372 1469 9 one one CD 63372 1469 10 from from IN 63372 1469 11 which which WDT 63372 1469 12 to to TO 63372 1469 13 measure measure VB 63372 1469 14 , , , 63372 1469 15 and and CC 63372 1469 16 agree agree VB 63372 1469 17 upon upon IN 63372 1469 18 the the DT 63372 1469 19 directions direction NNS 63372 1469 20 to to TO 63372 1469 21 be be VB 63372 1469 22 taken take VBN 63372 1469 23 by by IN 63372 1469 24 our -PRON- PRP$ 63372 1469 25 space space NN 63372 1469 26 axes axis NNS 63372 1469 27 , , , 63372 1469 28 and and CC 63372 1469 29 make make VB 63372 1469 30 any any DT 63372 1469 31 convention convention NN 63372 1469 32 about about IN 63372 1469 33 our -PRON- PRP$ 63372 1469 34 time time NN 63372 1469 35 - - HYPH 63372 1469 36 axis axis RB 63372 1469 37 which which WDT 63372 1469 38 subsequent subsequent JJ 63372 1469 39 investigation investigation NN 63372 1469 40 may may MD 63372 1469 41 show show VB 63372 1469 42 to to TO 63372 1469 43 be be VB 63372 1469 44 necessary necessary JJ 63372 1469 45 . . . 63372 1470 1 Certainly certainly RB 63372 1470 2 then then RB 63372 1470 3 the the DT 63372 1470 4 act act NN 63372 1470 5 of of IN 63372 1470 6 measuring measure VBG 63372 1470 7 so so RB 63372 1470 8 many many JJ 63372 1470 9 miles mile NNS 63372 1470 10 north north RB 63372 1470 11 , , , 63372 1470 12 and and CC 63372 1470 13 so so RB 63372 1470 14 many many JJ 63372 1470 15 west west NN 63372 1470 16 , , , 63372 1470 17 and and CC 63372 1470 18 so so RB 63372 1470 19 many many JJ 63372 1470 20 down down RP 63372 1470 21 , , , 63372 1470 22 and and CC 63372 1470 23 so so RB 63372 1470 24 many many JJ 63372 1470 25 seconds second NNS 63372 1470 26 backward backward RB 63372 1470 27 , , , 63372 1470 28 brings bring VBZ 63372 1470 29 us -PRON- PRP 63372 1470 30 to to IN 63372 1470 31 a a DT 63372 1470 32 definite definite JJ 63372 1470 33 time time NN 63372 1470 34 and and CC 63372 1470 35 place place NN 63372 1470 36 -- -- : 63372 1470 37 which which WDT 63372 1470 38 is be VBZ 63372 1470 39 to to TO 63372 1470 40 say say VB 63372 1470 41 , , , 63372 1470 42 to to IN 63372 1470 43 a a DT 63372 1470 44 definite definite JJ 63372 1470 45 event event NN 63372 1470 46 . . . 63372 1471 1 Perhaps perhaps RB 63372 1471 2 nothing nothing NN 63372 1471 3 " " `` 63372 1471 4 happened happen VBD 63372 1471 5 " " '' 63372 1471 6 there there RB 63372 1471 7 , , , 63372 1471 8 in in IN 63372 1471 9 the the DT 63372 1471 10 sense sense NN 63372 1471 11 in in IN 63372 1471 12 which which WDT 63372 1471 13 we -PRON- PRP 63372 1471 14 usually usually RB 63372 1471 15 employ employ VBP 63372 1471 16 the the DT 63372 1471 17 word word NN 63372 1471 18 ; ; : 63372 1471 19 but but CC 63372 1471 20 that that DT 63372 1471 21 is be VBZ 63372 1471 22 no no DT 63372 1471 23 more more RBR 63372 1471 24 serious serious JJ 63372 1471 25 than than IN 63372 1471 26 if if IN 63372 1471 27 we -PRON- PRP 63372 1471 28 were be VBD 63372 1471 29 to to TO 63372 1471 30 locate locate VB 63372 1471 31 a a DT 63372 1471 32 point point NN 63372 1471 33 with with IN 63372 1471 34 reference reference NN 63372 1471 35 to to IN 63372 1471 36 our -PRON- PRP$ 63372 1471 37 familiar familiar JJ 63372 1471 38 space space NN 63372 1471 39 coordinate coordinate NN 63372 1471 40 system system NN 63372 1471 41 , , , 63372 1471 42 and and CC 63372 1471 43 find find VB 63372 1471 44 it -PRON- PRP 63372 1471 45 to to TO 63372 1471 46 lie lie VB 63372 1471 47 in in IN 63372 1471 48 the the DT 63372 1471 49 empty empty JJ 63372 1471 50 void void NN 63372 1471 51 of of IN 63372 1471 52 interstellar interstellar JJ 63372 1471 53 space space NN 63372 1471 54 , , , 63372 1471 55 with with IN 63372 1471 56 no no DT 63372 1471 57 material material JJ 63372 1471 58 body body NN 63372 1471 59 occupying occupy VBG 63372 1471 60 it -PRON- PRP 63372 1471 61 . . . 63372 1472 1 In in IN 63372 1472 2 this this DT 63372 1472 3 second second JJ 63372 1472 4 case case NN 63372 1472 5 we -PRON- PRP 63372 1472 6 still still RB 63372 1472 7 have have VBP 63372 1472 8 a a DT 63372 1472 9 point point NN 63372 1472 10 , , , 63372 1472 11 which which WDT 63372 1472 12 requires require VBZ 63372 1472 13 , , , 63372 1472 14 to to TO 63372 1472 15 insure insure VB 63372 1472 16 its -PRON- PRP$ 63372 1472 17 existence existence NN 63372 1472 18 and and CC 63372 1472 19 location location NN 63372 1472 20 , , , 63372 1472 21 three three CD 63372 1472 22 coordinates coordinate NNS 63372 1472 23 and and CC 63372 1472 24 nothing nothing NN 63372 1472 25 more more JJR 63372 1472 26 ; ; : 63372 1472 27 in in IN 63372 1472 28 the the DT 63372 1472 29 first first JJ 63372 1472 30 case case NN 63372 1472 31 we -PRON- PRP 63372 1472 32 still still RB 63372 1472 33 have have VBP 63372 1472 34 an an DT 63372 1472 35 event event NN 63372 1472 36 , , , 63372 1472 37 which which WDT 63372 1472 38 requires require VBZ 63372 1472 39 for for IN 63372 1472 40 its -PRON- PRP$ 63372 1472 41 existence existence NN 63372 1472 42 and and CC 63372 1472 43 definition definition NN 63372 1472 44 four four CD 63372 1472 45 coordinates coordinate NNS 63372 1472 46 and and CC 63372 1472 47 nothing nothing NN 63372 1472 48 more more JJR 63372 1472 49 . . . 63372 1473 1 It -PRON- PRP 63372 1473 2 is be VBZ 63372 1473 3 not not RB 63372 1473 4 an an DT 63372 1473 5 event event NN 63372 1473 6 about about IN 63372 1473 7 which which WDT 63372 1473 8 the the DT 63372 1473 9 headline headline NN 63372 1473 10 writers writer NNS 63372 1473 11 are be VBP 63372 1473 12 likely likely JJ 63372 1473 13 to to TO 63372 1473 14 get get VB 63372 1473 15 greatly greatly RB 63372 1473 16 excited excited JJ 63372 1473 17 ; ; : 63372 1473 18 but but CC 63372 1473 19 what what WP 63372 1473 20 of of IN 63372 1473 21 that that DT 63372 1473 22 ? ? . 63372 1474 1 It -PRON- PRP 63372 1474 2 is be VBZ 63372 1474 3 there there RB 63372 1474 4 , , , 63372 1474 5 ready ready JJ 63372 1474 6 and and CC 63372 1474 7 waiting wait VBG 63372 1474 8 to to TO 63372 1474 9 define define VB 63372 1474 10 any any DT 63372 1474 11 physical physical JJ 63372 1474 12 happening happening NN 63372 1474 13 that that WDT 63372 1474 14 falls fall VBZ 63372 1474 15 upon upon IN 63372 1474 16 it -PRON- PRP 63372 1474 17 , , , 63372 1474 18 just just RB 63372 1474 19 as as IN 63372 1474 20 the the DT 63372 1474 21 geometer geometer NN 63372 1474 22 's 's POS 63372 1474 23 point point NN 63372 1474 24 is be VBZ 63372 1474 25 ready ready JJ 63372 1474 26 and and CC 63372 1474 27 waiting wait VBG 63372 1474 28 to to TO 63372 1474 29 define define VB 63372 1474 30 any any DT 63372 1474 31 physical physical JJ 63372 1474 32 body body NN 63372 1474 33 that that WDT 63372 1474 34 chances chance VBZ 63372 1474 35 to to TO 63372 1474 36 fall fall VB 63372 1474 37 upon upon IN 63372 1474 38 it -PRON- PRP 63372 1474 39 . . . 63372 1475 1 A a DT 63372 1475 2 CONTINUUM continuum NN 63372 1475 3 OF of IN 63372 1475 4 POINTS POINTS NNP 63372 1475 5 It -PRON- PRP 63372 1475 6 is be VBZ 63372 1475 7 now now RB 63372 1475 8 in in IN 63372 1475 9 order order NN 63372 1475 10 to to TO 63372 1475 11 introduce introduce VB 63372 1475 12 a a DT 63372 1475 13 word word NN 63372 1475 14 , , , 63372 1475 15 which which WDT 63372 1475 16 I -PRON- PRP 63372 1475 17 shall shall MD 63372 1475 18 have have VB 63372 1475 19 to to TO 63372 1475 20 confess confess VB 63372 1475 21 the the DT 63372 1475 22 great great JJ 63372 1475 23 majority majority NN 63372 1475 24 of of IN 63372 1475 25 the the DT 63372 1475 26 essayists essayist NNS 63372 1475 27 introduce introduce VBP 63372 1475 28 , , , 63372 1475 29 somewhat somewhat RB 63372 1475 30 improperly improperly RB 63372 1475 31 , , , 63372 1475 32 without without IN 63372 1475 33 explanation explanation NN 63372 1475 34 . . . 63372 1476 1 But but CC 63372 1476 2 when when WRB 63372 1476 3 I -PRON- PRP 63372 1476 4 attempt attempt VBP 63372 1476 5 to to TO 63372 1476 6 explain explain VB 63372 1476 7 it -PRON- PRP 63372 1476 8 , , , 63372 1476 9 I -PRON- PRP 63372 1476 10 realize realize VBP 63372 1476 11 quite quite RB 63372 1476 12 well well RB 63372 1476 13 why why WRB 63372 1476 14 they -PRON- PRP 63372 1476 15 did do VBD 63372 1476 16 this this DT 63372 1476 17 . . . 63372 1477 1 They -PRON- PRP 63372 1477 2 had have VBD 63372 1477 3 to to TO 63372 1477 4 have have VB 63372 1477 5 it -PRON- PRP 63372 1477 6 ; ; : 63372 1477 7 and and CC 63372 1477 8 they -PRON- PRP 63372 1477 9 did do VBD 63372 1477 10 n't not RB 63372 1477 11 have have VB 63372 1477 12 space space NN 63372 1477 13 in in IN 63372 1477 14 their -PRON- PRP$ 63372 1477 15 three three CD 63372 1477 16 thousand thousand CD 63372 1477 17 words word NNS 63372 1477 18 to to TO 63372 1477 19 talk talk VB 63372 1477 20 adequately adequately RB 63372 1477 21 about about IN 63372 1477 22 it -PRON- PRP 63372 1477 23 and and CC 63372 1477 24 about about IN 63372 1477 25 anything anything NN 63372 1477 26 else else RB 63372 1477 27 besides besides RB 63372 1477 28 . . . 63372 1478 1 The the DT 63372 1478 2 mathematician mathematician NN 63372 1478 3 knows know VBZ 63372 1478 4 very very RB 63372 1478 5 well well RB 63372 1478 6 indeed indeed RB 63372 1478 7 what what WP 63372 1478 8 he -PRON- PRP 63372 1478 9 means mean VBZ 63372 1478 10 by by IN 63372 1478 11 a a DT 63372 1478 12 continuum continuum NN 63372 1478 13 ; ; : 63372 1478 14 but but CC 63372 1478 15 it -PRON- PRP 63372 1478 16 is be VBZ 63372 1478 17 far far RB 63372 1478 18 from from IN 63372 1478 19 easy easy JJ 63372 1478 20 to to TO 63372 1478 21 explain explain VB 63372 1478 22 it -PRON- PRP 63372 1478 23 in in IN 63372 1478 24 ordinary ordinary JJ 63372 1478 25 language language NN 63372 1478 26 . . . 63372 1479 1 I -PRON- PRP 63372 1479 2 think think VBP 63372 1479 3 I -PRON- PRP 63372 1479 4 may may MD 63372 1479 5 do do VB 63372 1479 6 best well RBS 63372 1479 7 by by IN 63372 1479 8 talking talk VBG 63372 1479 9 first first RB 63372 1479 10 at at IN 63372 1479 11 some some DT 63372 1479 12 length length NN 63372 1479 13 about about RB 63372 1479 14 a a DT 63372 1479 15 straight straight JJ 63372 1479 16 line line NN 63372 1479 17 , , , 63372 1479 18 and and CC 63372 1479 19 the the DT 63372 1479 20 points point NNS 63372 1479 21 on on IN 63372 1479 22 it -PRON- PRP 63372 1479 23 . . . 63372 1480 1 If if IN 63372 1480 2 the the DT 63372 1480 3 line line NN 63372 1480 4 contains contain VBZ 63372 1480 5 only only RB 63372 1480 6 the the DT 63372 1480 7 points point NNS 63372 1480 8 corresponding correspond VBG 63372 1480 9 to to IN 63372 1480 10 the the DT 63372 1480 11 integral integral JJ 63372 1480 12 distances distance NNS 63372 1480 13 1 1 CD 63372 1480 14 , , , 63372 1480 15 2 2 CD 63372 1480 16 , , , 63372 1480 17 3 3 CD 63372 1480 18 , , , 63372 1480 19 etc etc FW 63372 1480 20 . . FW 63372 1480 21 , , , 63372 1480 22 from from IN 63372 1480 23 the the DT 63372 1480 24 starting starting NN 63372 1480 25 point point NN 63372 1480 26 , , , 63372 1480 27 it -PRON- PRP 63372 1480 28 is be VBZ 63372 1480 29 obviously obviously RB 63372 1480 30 not not RB 63372 1480 31 continuous continuous JJ 63372 1480 32 -- -- : 63372 1480 33 there there EX 63372 1480 34 are be VBP 63372 1480 35 gaps gap NNS 63372 1480 36 in in IN 63372 1480 37 it -PRON- PRP 63372 1480 38 vastly vastly RB 63372 1480 39 more more RBR 63372 1480 40 inclusive inclusive JJ 63372 1480 41 than than IN 63372 1480 42 the the DT 63372 1480 43 few few JJ 63372 1480 44 ( ( -LRB- 63372 1480 45 comparatively comparatively RB 63372 1480 46 speaking speak VBG 63372 1480 47 ) ) -RRB- 63372 1480 48 points point NNS 63372 1480 49 that that WDT 63372 1480 50 are be VBP 63372 1480 51 present present JJ 63372 1480 52 . . . 63372 1481 1 If if IN 63372 1481 2 we -PRON- PRP 63372 1481 3 extend extend VBP 63372 1481 4 the the DT 63372 1481 5 limitations limitation NNS 63372 1481 6 so so IN 63372 1481 7 that that IN 63372 1481 8 the the DT 63372 1481 9 line line NN 63372 1481 10 includes include VBZ 63372 1481 11 all all DT 63372 1481 12 points point NNS 63372 1481 13 corresponding correspond VBG 63372 1481 14 to to IN 63372 1481 15 ordinary ordinary JJ 63372 1481 16 proper proper JJ 63372 1481 17 and and CC 63372 1481 18 improper improper JJ 63372 1481 19 fractions fraction NNS 63372 1481 20 like like IN 63372 1481 21 1/4 1/4 CD 63372 1481 22 and and CC 63372 1481 23 17/29 17/29 CD 63372 1481 24 and and CC 63372 1481 25 1633/7 1633/7 CD 63372 1481 26 - - : 63372 1481 27 -what -what VBP 63372 1481 28 the the DT 63372 1481 29 mathematician mathematician NN 63372 1481 30 calls call VBZ 63372 1481 31 the the DT 63372 1481 32 rational rational JJ 63372 1481 33 numbers number NNS 63372 1481 34 -- -- : 63372 1481 35 we -PRON- PRP 63372 1481 36 shall shall MD 63372 1481 37 apparently apparently RB 63372 1481 38 fill fill VB 63372 1481 39 in in RP 63372 1481 40 these these DT 63372 1481 41 gaps gap NNS 63372 1481 42 ; ; : 63372 1481 43 and and CC 63372 1481 44 I -PRON- PRP 63372 1481 45 think think VBP 63372 1481 46 the the DT 63372 1481 47 layman layman NN 63372 1481 48 's 's POS 63372 1481 49 first first JJ 63372 1481 50 impulse impulse NN 63372 1481 51 would would MD 63372 1481 52 be be VB 63372 1481 53 to to TO 63372 1481 54 say say VB 63372 1481 55 that that IN 63372 1481 56 the the DT 63372 1481 57 line line NN 63372 1481 58 is be VBZ 63372 1481 59 now now RB 63372 1481 60 continuous continuous JJ 63372 1481 61 . . . 63372 1482 1 Certainly certainly RB 63372 1482 2 we -PRON- PRP 63372 1482 3 can can MD 63372 1482 4 not not RB 63372 1482 5 stand stand VB 63372 1482 6 now now RB 63372 1482 7 at at IN 63372 1482 8 one one CD 63372 1482 9 point point NN 63372 1482 10 on on IN 63372 1482 11 the the DT 63372 1482 12 line line NN 63372 1482 13 and and CC 63372 1482 14 name name VB 63372 1482 15 the the DT 63372 1482 16 " " `` 63372 1482 17 next next JJ 63372 1482 18 " " '' 63372 1482 19 point point NN 63372 1482 20 , , , 63372 1482 21 as as IN 63372 1482 22 we -PRON- PRP 63372 1482 23 could could MD 63372 1482 24 a a DT 63372 1482 25 moment moment NN 63372 1482 26 ago ago RB 63372 1482 27 . . . 63372 1483 1 There there EX 63372 1483 2 is be VBZ 63372 1483 3 no no DT 63372 1483 4 " " `` 63372 1483 5 next next JJ 63372 1483 6 " " '' 63372 1483 7 rational rational JJ 63372 1483 8 number number NN 63372 1483 9 to to IN 63372 1483 10 116/125 116/125 NN 63372 1483 11 , , , 63372 1483 12 for for IN 63372 1483 13 instance instance NN 63372 1483 14 ; ; : 63372 1483 15 115/124 115/124 NNP 63372 1483 16 comes come VBZ 63372 1483 17 before before IN 63372 1483 18 it -PRON- PRP 63372 1483 19 and and CC 63372 1483 20 117/126 117/126 NN 63372 1483 21 comes come VBZ 63372 1483 22 after after IN 63372 1483 23 it -PRON- PRP 63372 1483 24 , , , 63372 1483 25 but but CC 63372 1483 26 between between IN 63372 1483 27 it -PRON- PRP 63372 1483 28 and and CC 63372 1483 29 either either RB 63372 1483 30 , , , 63372 1483 31 or or CC 63372 1483 32 between between IN 63372 1483 33 it -PRON- PRP 63372 1483 34 and and CC 63372 1483 35 any any DT 63372 1483 36 other other JJ 63372 1483 37 rational rational JJ 63372 1483 38 number number NN 63372 1483 39 we -PRON- PRP 63372 1483 40 might may MD 63372 1483 41 name name VB 63372 1483 42 , , , 63372 1483 43 lie lie VB 63372 1483 44 many many JJ 63372 1483 45 others other NNS 63372 1483 46 of of IN 63372 1483 47 the the DT 63372 1483 48 same same JJ 63372 1483 49 sort sort NN 63372 1483 50 . . . 63372 1484 1 Yet yet CC 63372 1484 2 in in IN 63372 1484 3 spite spite NN 63372 1484 4 of of IN 63372 1484 5 the the DT 63372 1484 6 fact fact NN 63372 1484 7 that that IN 63372 1484 8 the the DT 63372 1484 9 line line NN 63372 1484 10 containing contain VBG 63372 1484 11 all all PDT 63372 1484 12 these these DT 63372 1484 13 rational rational JJ 63372 1484 14 points point NNS 63372 1484 15 is be VBZ 63372 1484 16 now now RB 63372 1484 17 " " `` 63372 1484 18 dense dense JJ 63372 1484 19 " " '' 63372 1484 20 ( ( -LRB- 63372 1484 21 the the DT 63372 1484 22 technical technical JJ 63372 1484 23 term term NN 63372 1484 24 for for IN 63372 1484 25 the the DT 63372 1484 26 property property NN 63372 1484 27 I -PRON- PRP 63372 1484 28 have have VBP 63372 1484 29 just just RB 63372 1484 30 indicated indicate VBN 63372 1484 31 ) ) -RRB- 63372 1484 32 , , , 63372 1484 33 it -PRON- PRP 63372 1484 34 is be VBZ 63372 1484 35 still still RB 63372 1484 36 not not RB 63372 1484 37 continuous continuous JJ 63372 1484 38 ; ; : 63372 1484 39 for for IN 63372 1484 40 I -PRON- PRP 63372 1484 41 can can MD 63372 1484 42 easily easily RB 63372 1484 43 define define VB 63372 1484 44 numbers number NNS 63372 1484 45 that that WDT 63372 1484 46 are be VBP 63372 1484 47 not not RB 63372 1484 48 contained contain VBN 63372 1484 49 in in IN 63372 1484 50 it -PRON- PRP 63372 1484 51 -- -- : 63372 1484 52 irrational irrational JJ 63372 1484 53 numbers number NNS 63372 1484 54 in in IN 63372 1484 55 infinite infinite JJ 63372 1484 56 variety variety NN 63372 1484 57 like like IN 63372 1484 58 $ $ $ 63372 1484 59 \sqrt{2}$ \sqrt{2}$ NN 63372 1484 60 ; ; : 63372 1484 61 or or CC 63372 1484 62 , , , 63372 1484 63 even even RB 63372 1484 64 worse bad JJR 63372 1484 65 , , , 63372 1484 66 the the DT 63372 1484 67 number number NN 63372 1484 68 pi pi NN 63372 1484 69 = = NFP 63372 1484 70 3.141592 3.141592 CD 63372 1484 71 ... ... NFP 63372 1484 72 which which WDT 63372 1484 73 defines define VBZ 63372 1484 74 the the DT 63372 1484 75 ratio ratio NN 63372 1484 76 of of IN 63372 1484 77 the the DT 63372 1484 78 circumference circumference NN 63372 1484 79 of of IN 63372 1484 80 a a DT 63372 1484 81 circle circle NN 63372 1484 82 to to IN 63372 1484 83 the the DT 63372 1484 84 diameter diameter NN 63372 1484 85 , , , 63372 1484 86 and and CC 63372 1484 87 many many JJ 63372 1484 88 other other JJ 63372 1484 89 numbers number NNS 63372 1484 90 of of IN 63372 1484 91 similar similar JJ 63372 1484 92 sort sort NN 63372 1484 93 . . . 63372 1485 1 If if IN 63372 1485 2 the the DT 63372 1485 3 line line NN 63372 1485 4 is be VBZ 63372 1485 5 to to TO 63372 1485 6 be be VB 63372 1485 7 continuous continuous JJ 63372 1485 8 , , , 63372 1485 9 there there EX 63372 1485 10 may may MD 63372 1485 11 be be VB 63372 1485 12 no no DT 63372 1485 13 holes hole NNS 63372 1485 14 in in IN 63372 1485 15 it -PRON- PRP 63372 1485 16 at at RB 63372 1485 17 all all RB 63372 1485 18 ; ; : 63372 1485 19 it -PRON- PRP 63372 1485 20 must must MD 63372 1485 21 have have VB 63372 1485 22 a a DT 63372 1485 23 point point NN 63372 1485 24 corresponding correspond VBG 63372 1485 25 to to IN 63372 1485 26 every every DT 63372 1485 27 number number NN 63372 1485 28 I -PRON- PRP 63372 1485 29 can can MD 63372 1485 30 possibly possibly RB 63372 1485 31 name name VB 63372 1485 32 . . . 63372 1486 1 Similarly similarly RB 63372 1486 2 for for IN 63372 1486 3 the the DT 63372 1486 4 plane plane NN 63372 1486 5 , , , 63372 1486 6 and and CC 63372 1486 7 for for IN 63372 1486 8 our -PRON- PRP$ 63372 1486 9 three three CD 63372 1486 10 - - HYPH 63372 1486 11 space space NN 63372 1486 12 ; ; : 63372 1486 13 if if IN 63372 1486 14 they -PRON- PRP 63372 1486 15 are be VBP 63372 1486 16 to to TO 63372 1486 17 be be VB 63372 1486 18 continuous continuous JJ 63372 1486 19 , , , 63372 1486 20 the the DT 63372 1486 21 one one NN 63372 1486 22 must must MD 63372 1486 23 contain contain VB 63372 1486 24 a a DT 63372 1486 25 point point NN 63372 1486 26 for for IN 63372 1486 27 every every DT 63372 1486 28 possible possible JJ 63372 1486 29 pair pair NN 63372 1486 30 of of IN 63372 1486 31 numbers number NNS 63372 1486 32 $ $ $ 63372 1486 33 x$ x$ NNP 63372 1486 34 and and CC 63372 1486 35 $ $ $ 63372 1486 36 y$ y$ NNP 63372 1486 37 , , , 63372 1486 38 and and CC 63372 1486 39 the the DT 63372 1486 40 other other JJ 63372 1486 41 for for IN 63372 1486 42 every every DT 63372 1486 43 possible possible JJ 63372 1486 44 set set NN 63372 1486 45 of of IN 63372 1486 46 three three CD 63372 1486 47 numbers number NNS 63372 1486 48 $ $ $ 63372 1486 49 x$ x$ NNP 63372 1486 50 , , , 63372 1486 51 $ $ $ 63372 1486 52 y$ y$ NNP 63372 1486 53 and and CC 63372 1486 54 $ $ $ 63372 1486 55 z$ z$ NNP 63372 1486 56 , , , 63372 1486 57 that that IN 63372 1486 58 I -PRON- PRP 63372 1486 59 can can MD 63372 1486 60 name name VB 63372 1486 61 . . . 63372 1487 1 There there EX 63372 1487 2 may may MD 63372 1487 3 be be VB 63372 1487 4 no no DT 63372 1487 5 holes hole NNS 63372 1487 6 in in IN 63372 1487 7 them -PRON- PRP 63372 1487 8 at at RB 63372 1487 9 all all RB 63372 1487 10 . . . 63372 1488 1 A a DT 63372 1488 2 line line NN 63372 1488 3 is be VBZ 63372 1488 4 a a DT 63372 1488 5 continuum continuum NN 63372 1488 6 of of IN 63372 1488 7 points point NNS 63372 1488 8 . . . 63372 1489 1 A a DT 63372 1489 2 plane plane NN 63372 1489 3 is be VBZ 63372 1489 4 a a DT 63372 1489 5 continuum continuum NN 63372 1489 6 of of IN 63372 1489 7 points point NNS 63372 1489 8 . . . 63372 1490 1 A a DT 63372 1490 2 three three CD 63372 1490 3 - - HYPH 63372 1490 4 space space NN 63372 1490 5 is be VBZ 63372 1490 6 a a DT 63372 1490 7 continuum continuum NN 63372 1490 8 of of IN 63372 1490 9 points point NNS 63372 1490 10 . . . 63372 1491 1 These these DT 63372 1491 2 three three CD 63372 1491 3 cases case NNS 63372 1491 4 differ differ VBP 63372 1491 5 only only RB 63372 1491 6 in in IN 63372 1491 7 their -PRON- PRP$ 63372 1491 8 dimensionality dimensionality NN 63372 1491 9 ; ; : 63372 1491 10 it -PRON- PRP 63372 1491 11 requires require VBZ 63372 1491 12 but but CC 63372 1491 13 one one CD 63372 1491 14 number number NN 63372 1491 15 to to TO 63372 1491 16 determine determine VB 63372 1491 17 a a DT 63372 1491 18 point point NN 63372 1491 19 of of IN 63372 1491 20 the the DT 63372 1491 21 first first JJ 63372 1491 22 continuum continuum NN 63372 1491 23 , , , 63372 1491 24 two two CD 63372 1491 25 and and CC 63372 1491 26 three three CD 63372 1491 27 respectively respectively RB 63372 1491 28 in in IN 63372 1491 29 the the DT 63372 1491 30 second second JJ 63372 1491 31 and and CC 63372 1491 32 third third JJ 63372 1491 33 cases case NNS 63372 1491 34 . . . 63372 1492 1 But but CC 63372 1492 2 the the DT 63372 1492 3 essential essential JJ 63372 1492 4 feature feature NN 63372 1492 5 is be VBZ 63372 1492 6 not not RB 63372 1492 7 that that IN 63372 1492 8 a a DT 63372 1492 9 continuum continuum NN 63372 1492 10 shall shall MD 63372 1492 11 consist consist VB 63372 1492 12 of of IN 63372 1492 13 points point NNS 63372 1492 14 , , , 63372 1492 15 or or CC 63372 1492 16 that that IN 63372 1492 17 we -PRON- PRP 63372 1492 18 shall shall MD 63372 1492 19 be be VB 63372 1492 20 able able JJ 63372 1492 21 to to TO 63372 1492 22 visualize visualize VB 63372 1492 23 a a DT 63372 1492 24 pseudo pseudo NN 63372 1492 25 - - JJ 63372 1492 26 real real JJ 63372 1492 27 existence existence NN 63372 1492 28 for for IN 63372 1492 29 it -PRON- PRP 63372 1492 30 of of IN 63372 1492 31 just just RB 63372 1492 32 the the DT 63372 1492 33 sort sort NN 63372 1492 34 that that WDT 63372 1492 35 we -PRON- PRP 63372 1492 36 can can MD 63372 1492 37 visualize visualize VB 63372 1492 38 in in IN 63372 1492 39 the the DT 63372 1492 40 case case NN 63372 1492 41 of of IN 63372 1492 42 line line NN 63372 1492 43 , , , 63372 1492 44 plane plane NN 63372 1492 45 and and CC 63372 1492 46 point point NN 63372 1492 47 . . . 63372 1493 1 The the DT 63372 1493 2 essential essential JJ 63372 1493 3 thing thing NN 63372 1493 4 is be VBZ 63372 1493 5 merely merely RB 63372 1493 6 that that IN 63372 1493 7 it -PRON- PRP 63372 1493 8 shall shall MD 63372 1493 9 be be VB 63372 1493 10 an an DT 63372 1493 11 aggregate aggregate NN 63372 1493 12 of of IN 63372 1493 13 elements element NNS 63372 1493 14 numerically numerically RB 63372 1493 15 determined determine VBN 63372 1493 16 in in IN 63372 1493 17 such such PDT 63372 1493 18 a a DT 63372 1493 19 way way NN 63372 1493 20 as as IN 63372 1493 21 to to TO 63372 1493 22 leave leave VB 63372 1493 23 no no DT 63372 1493 24 holes hole NNS 63372 1493 25 , , , 63372 1493 26 but but CC 63372 1493 27 to to TO 63372 1493 28 be be VB 63372 1493 29 just just RB 63372 1493 30 as as RB 63372 1493 31 continuous continuous JJ 63372 1493 32 as as IN 63372 1493 33 the the DT 63372 1493 34 real real JJ 63372 1493 35 number number NN 63372 1493 36 system system NN 63372 1493 37 itself -PRON- PRP 63372 1493 38 . . . 63372 1494 1 Examples example NNS 63372 1494 2 , , , 63372 1494 3 however however RB 63372 1494 4 , , , 63372 1494 5 aside aside RB 63372 1494 6 from from IN 63372 1494 7 the the DT 63372 1494 8 three three CD 63372 1494 9 which which WDT 63372 1494 10 I -PRON- PRP 63372 1494 11 have have VBP 63372 1494 12 used use VBN 63372 1494 13 , , , 63372 1494 14 are be VBP 63372 1494 15 difficult difficult JJ 63372 1494 16 to to TO 63372 1494 17 construct construct VB 63372 1494 18 of of IN 63372 1494 19 such such JJ 63372 1494 20 sort sort NN 63372 1494 21 that that WDT 63372 1494 22 the the DT 63372 1494 23 layman layman NN 63372 1494 24 shall shall MD 63372 1494 25 grasp grasp VB 63372 1494 26 them -PRON- PRP 63372 1494 27 readily readily RB 63372 1494 28 ; ; : 63372 1494 29 so so RB 63372 1494 30 perhaps perhaps RB 63372 1494 31 , , , 63372 1494 32 fortified fortify VBN 63372 1494 33 with with IN 63372 1494 34 the the DT 63372 1494 35 background background NN 63372 1494 36 of of IN 63372 1494 37 example example NN 63372 1494 38 already already RB 63372 1494 39 presented present VBN 63372 1494 40 , , , 63372 1494 41 I -PRON- PRP 63372 1494 42 may may MD 63372 1494 43 venture venture VB 63372 1494 44 first first RB 63372 1494 45 upon upon IN 63372 1494 46 a a DT 63372 1494 47 general general JJ 63372 1494 48 statement statement NN 63372 1494 49 . . . 63372 1495 1 THE the DT 63372 1495 2 CONTINUUM CONTINUUM NNPS 63372 1495 3 IN in IN 63372 1495 4 GENERAL GENERAL NNP 63372 1495 5 Suppose Suppose NNP 63372 1495 6 we -PRON- PRP 63372 1495 7 have have VBP 63372 1495 8 a a DT 63372 1495 9 set set NN 63372 1495 10 of of IN 63372 1495 11 " " `` 63372 1495 12 elements element NNS 63372 1495 13 " " '' 63372 1495 14 of of IN 63372 1495 15 some some DT 63372 1495 16 sort sort NN 63372 1495 17 -- -- : 63372 1495 18 any any DT 63372 1495 19 sort sort NN 63372 1495 20 . . . 63372 1496 1 Suppose suppose VB 63372 1496 2 that that IN 63372 1496 3 these these DT 63372 1496 4 elements element NNS 63372 1496 5 possess possess VBP 63372 1496 6 one one CD 63372 1496 7 or or CC 63372 1496 8 more more RBR 63372 1496 9 fundamental fundamental JJ 63372 1496 10 identifying identify VBG 63372 1496 11 characteristics characteristic NNS 63372 1496 12 , , , 63372 1496 13 analogous analogous JJ 63372 1496 14 to to IN 63372 1496 15 the the DT 63372 1496 16 coordinates coordinate NNS 63372 1496 17 of of IN 63372 1496 18 a a DT 63372 1496 19 point point NN 63372 1496 20 , , , 63372 1496 21 and and CC 63372 1496 22 which which WDT 63372 1496 23 , , , 63372 1496 24 like like IN 63372 1496 25 these these DT 63372 1496 26 coordinates coordinate NNS 63372 1496 27 , , , 63372 1496 28 are be VBP 63372 1496 29 capable capable JJ 63372 1496 30 of of IN 63372 1496 31 being be VBG 63372 1496 32 given give VBN 63372 1496 33 numerical numerical JJ 63372 1496 34 values value NNS 63372 1496 35 . . . 63372 1497 1 Suppose suppose VB 63372 1497 2 we -PRON- PRP 63372 1497 3 find find VBP 63372 1497 4 that that IN 63372 1497 5 no no DT 63372 1497 6 two two CD 63372 1497 7 elements element NNS 63372 1497 8 of of IN 63372 1497 9 the the DT 63372 1497 10 set set NN 63372 1497 11 possess possess VBP 63372 1497 12 identically identically RB 63372 1497 13 the the DT 63372 1497 14 same same JJ 63372 1497 15 set set NN 63372 1497 16 of of IN 63372 1497 17 defining define VBG 63372 1497 18 values value NNS 63372 1497 19 . . . 63372 1498 1 Suppose suppose VB 63372 1498 2 finally finally RB 63372 1498 3 -- -- : 63372 1498 4 and and CC 63372 1498 5 this this DT 63372 1498 6 is be VBZ 63372 1498 7 the the DT 63372 1498 8 critical critical JJ 63372 1498 9 test test NN 63372 1498 10 -- -- : 63372 1498 11 that that IN 63372 1498 12 the the DT 63372 1498 13 elements element NNS 63372 1498 14 of of IN 63372 1498 15 the the DT 63372 1498 16 set set NN 63372 1498 17 are be VBP 63372 1498 18 such such JJ 63372 1498 19 that that IN 63372 1498 20 , , , 63372 1498 21 no no RB 63372 1498 22 matter matter RB 63372 1498 23 what what WDT 63372 1498 24 numerical numerical JJ 63372 1498 25 values value NNS 63372 1498 26 we -PRON- PRP 63372 1498 27 may may MD 63372 1498 28 specify specify VB 63372 1498 29 , , , 63372 1498 30 it -PRON- PRP 63372 1498 31 we -PRON- PRP 63372 1498 32 do do VBP 63372 1498 33 specify specify VB 63372 1498 34 the the DT 63372 1498 35 proper proper JJ 63372 1498 36 number number NN 63372 1498 37 of of IN 63372 1498 38 defining define VBG 63372 1498 39 magnitudes magnitude NNS 63372 1498 40 we -PRON- PRP 63372 1498 41 define define VBP 63372 1498 42 by by IN 63372 1498 43 these these DT 63372 1498 44 an an DT 63372 1498 45 actual actual JJ 63372 1498 46 element element NN 63372 1498 47 of of IN 63372 1498 48 the the DT 63372 1498 49 set set NN 63372 1498 50 , , , 63372 1498 51 that that WDT 63372 1498 52 corresponds correspond VBZ 63372 1498 53 to to IN 63372 1498 54 this this DT 63372 1498 55 particular particular JJ 63372 1498 56 collection collection NN 63372 1498 57 of of IN 63372 1498 58 values value NNS 63372 1498 59 . . . 63372 1499 1 Our -PRON- PRP$ 63372 1499 2 elements element NNS 63372 1499 3 then then RB 63372 1499 4 share share VBP 63372 1499 5 with with IN 63372 1499 6 the the DT 63372 1499 7 real real JJ 63372 1499 8 number number NN 63372 1499 9 system system NN 63372 1499 10 the the DT 63372 1499 11 property property NN 63372 1499 12 of of IN 63372 1499 13 leaving leave VBG 63372 1499 14 no no DT 63372 1499 15 holes hole NNS 63372 1499 16 , , , 63372 1499 17 of of IN 63372 1499 18 constituting constitute VBG 63372 1499 19 a a DT 63372 1499 20 continuous continuous JJ 63372 1499 21 succession succession NN 63372 1499 22 in in IN 63372 1499 23 every every DT 63372 1499 24 dimension dimension NN 63372 1499 25 which which WDT 63372 1499 26 they -PRON- PRP 63372 1499 27 possess possess VBP 63372 1499 28 . . . 63372 1500 1 We -PRON- PRP 63372 1500 2 have have VBP 63372 1500 3 then then RB 63372 1500 4 a a DT 63372 1500 5 continuum continuum NN 63372 1500 6 . . . 63372 1501 1 Whatever whatever WDT 63372 1501 2 its -PRON- PRP$ 63372 1501 3 elements element NNS 63372 1501 4 , , , 63372 1501 5 whatever whatever WDT 63372 1501 6 the the DT 63372 1501 7 character character NN 63372 1501 8 of of IN 63372 1501 9 their -PRON- PRP$ 63372 1501 10 numerical numerical JJ 63372 1501 11 identifiers identifier NNS 63372 1501 12 , , , 63372 1501 13 whatever whatever WDT 63372 1501 14 the the DT 63372 1501 15 number number NN 63372 1501 16 n n JJ 63372 1501 17 of of IN 63372 1501 18 these these DT 63372 1501 19 which which WDT 63372 1501 20 stands stand VBZ 63372 1501 21 for for IN 63372 1501 22 its -PRON- PRP$ 63372 1501 23 dimension dimension NN 63372 1501 24 , , , 63372 1501 25 there there EX 63372 1501 26 may may MD 63372 1501 27 be be VB 63372 1501 28 no no DT 63372 1501 29 holes hole NNS 63372 1501 30 or or CC 63372 1501 31 we -PRON- PRP 63372 1501 32 have have VBP 63372 1501 33 no no DT 63372 1501 34 continuum continuum NN 63372 1501 35 . . . 63372 1502 1 There there EX 63372 1502 2 must must MD 63372 1502 3 be be VB 63372 1502 4 an an DT 63372 1502 5 element element NN 63372 1502 6 for for IN 63372 1502 7 every every DT 63372 1502 8 possible possible JJ 63372 1502 9 combination combination NN 63372 1502 10 of of IN 63372 1502 11 n n JJ 63372 1502 12 numbers number NNS 63372 1502 13 we -PRON- PRP 63372 1502 14 can can MD 63372 1502 15 name name VB 63372 1502 16 , , , 63372 1502 17 and and CC 63372 1502 18 no no DT 63372 1502 19 two two CD 63372 1502 20 of of IN 63372 1502 21 these these DT 63372 1502 22 combinations combination NNS 63372 1502 23 may may MD 63372 1502 24 give give VB 63372 1502 25 the the DT 63372 1502 26 same same JJ 63372 1502 27 element element NN 63372 1502 28 . . . 63372 1503 1 Granted grant VBN 63372 1503 2 this this DT 63372 1503 3 condition condition NN 63372 1503 4 , , , 63372 1503 5 our -PRON- PRP$ 63372 1503 6 elements element NNS 63372 1503 7 constitute constitute VBP 63372 1503 8 a a DT 63372 1503 9 continuum continuum NN 63372 1503 10 . . . 63372 1504 1 As as IN 63372 1504 2 I -PRON- PRP 63372 1504 3 have have VBP 63372 1504 4 remarked remark VBN 63372 1504 5 , , , 63372 1504 6 it -PRON- PRP 63372 1504 7 is be VBZ 63372 1504 8 not not RB 63372 1504 9 easy easy JJ 63372 1504 10 to to TO 63372 1504 11 cite cite VB 63372 1504 12 examples example NNS 63372 1504 13 of of IN 63372 1504 14 continua continua NN 63372 1504 15 which which WDT 63372 1504 16 shall shall MD 63372 1504 17 mean mean VB 63372 1504 18 anything anything NN 63372 1504 19 to to IN 63372 1504 20 the the DT 63372 1504 21 person person NN 63372 1504 22 unaccustomed unaccustomed JJ 63372 1504 23 to to IN 63372 1504 24 the the DT 63372 1504 25 term term NN 63372 1504 26 . . . 63372 1505 1 The the DT 63372 1505 2 totality totality NN 63372 1505 3 of of IN 63372 1505 4 carbon carbon NN 63372 1505 5 - - HYPH 63372 1505 6 oxygen oxygen NN 63372 1505 7 - - HYPH 63372 1505 8 nitrogen nitrogen NN 63372 1505 9 - - HYPH 63372 1505 10 hydrogen hydrogen NN 63372 1505 11 compounds compound NNS 63372 1505 12 suggested suggest VBN 63372 1505 13 by by IN 63372 1505 14 one one CD 63372 1505 15 essayist essayist NN 63372 1505 16 as as IN 63372 1505 17 an an DT 63372 1505 18 example example NN 63372 1505 19 is be VBZ 63372 1505 20 not not RB 63372 1505 21 a a DT 63372 1505 22 continuum continuum NN 63372 1505 23 at at RB 63372 1505 24 all all RB 63372 1505 25 , , , 63372 1505 26 for for IN 63372 1505 27 the the DT 63372 1505 28 set set NN 63372 1505 29 contains contain VBZ 63372 1505 30 elements element NNS 63372 1505 31 corresponding correspond VBG 63372 1505 32 only only RB 63372 1505 33 to to IN 63372 1505 34 integer integer VB 63372 1505 35 values value NNS 63372 1505 36 of of IN 63372 1505 37 the the DT 63372 1505 38 numbers number NNS 63372 1505 39 which which WDT 63372 1505 40 tell tell VBP 63372 1505 41 us -PRON- PRP 63372 1505 42 how how WRB 63372 1505 43 many many JJ 63372 1505 44 atoms atom NNS 63372 1505 45 of of IN 63372 1505 46 each each DT 63372 1505 47 substance substance NN 63372 1505 48 occur occur VBP 63372 1505 49 in in IN 63372 1505 50 the the DT 63372 1505 51 molecule molecule NN 63372 1505 52 . . . 63372 1506 1 We -PRON- PRP 63372 1506 2 can can MD 63372 1506 3 not not RB 63372 1506 4 have have VB 63372 1506 5 a a DT 63372 1506 6 compound compound NN 63372 1506 7 containing contain VBG 63372 1506 8 $ $ $ 63372 1506 9 \sqrt2 \sqrt2 JJ 63372 1506 10 $ $ $ 63372 1506 11 carbon carbon NN 63372 1506 12 atoms atom NNS 63372 1506 13 , , , 63372 1506 14 or or CC 63372 1506 15 $ $ $ 63372 1506 16 3\pi$ 3\pi$ CD 63372 1506 17 oxygen oxygen NN 63372 1506 18 atoms atom NNS 63372 1506 19 . . . 63372 1507 1 Perhaps perhaps RB 63372 1507 2 the the DT 63372 1507 3 most most RBS 63372 1507 4 satisfactory satisfactory JJ 63372 1507 5 of of IN 63372 1507 6 the the DT 63372 1507 7 continua continua NN 63372 1507 8 , , , 63372 1507 9 outside outside IN 63372 1507 10 the the DT 63372 1507 11 three three CD 63372 1507 12 Euclidean Euclidean NNP 63372 1507 13 space space NN 63372 1507 14 - - HYPH 63372 1507 15 continua continua NN 63372 1507 16 already already RB 63372 1507 17 cited cite VBD 63372 1507 18 , , , 63372 1507 19 [ [ -LRB- 63372 1507 20 is be VBZ 63372 1507 21 the the DT 63372 1507 22 manifold manifold NN 63372 1507 23 of of IN 63372 1507 24 music music NN 63372 1507 25 notes note NNS 63372 1507 26 . . . 63372 1508 1 This this DT 63372 1508 2 is be VBZ 63372 1508 3 four four CD 63372 1508 4 - - HYPH 63372 1508 5 dimensional dimensional JJ 63372 1508 6 ; ; : 63372 1508 7 each each DT 63372 1508 8 note note NN 63372 1508 9 has have VBZ 63372 1508 10 four four CD 63372 1508 11 distinctions distinction NNS 63372 1508 12 -- -- : 63372 1508 13 length length NN 63372 1508 14 , , , 63372 1508 15 pitch pitch NN 63372 1508 16 , , , 63372 1508 17 intensity intensity NN 63372 1508 18 , , , 63372 1508 19 timbre timbre NNP 63372 1508 20 -- -- : 63372 1508 21 to to TO 63372 1508 22 distinguish distinguish VB 63372 1508 23 it -PRON- PRP 63372 1508 24 perfectly perfectly RB 63372 1508 25 , , , 63372 1508 26 to to TO 63372 1508 27 tell tell VB 63372 1508 28 how how WRB 63372 1508 29 long long RB 63372 1508 30 , , , 63372 1508 31 how how WRB 63372 1508 32 high high JJ 63372 1508 33 , , , 63372 1508 34 how how WRB 63372 1508 35 loud loud JJ 63372 1508 36 , , , 63372 1508 37 how how WRB 63372 1508 38 rich rich JJ 63372 1508 39 . . . 63372 1509 1 ] ] -RRB- 63372 1509 2 263 263 CD 63372 1509 3 We -PRON- PRP 63372 1509 4 might may MD 63372 1509 5 have have VB 63372 1509 6 a a DT 63372 1509 7 little little JJ 63372 1509 8 difficulty difficulty NN 63372 1509 9 in in IN 63372 1509 10 reducing reduce VBG 63372 1509 11 the the DT 63372 1509 12 characteristic characteristic NN 63372 1509 13 of of IN 63372 1509 14 richness richness NN 63372 1509 15 to to IN 63372 1509 16 numerical numerical JJ 63372 1509 17 expression expression NN 63372 1509 18 , , , 63372 1509 19 but but CC 63372 1509 20 presumably presumably RB 63372 1509 21 it -PRON- PRP 63372 1509 22 could could MD 63372 1509 23 be be VB 63372 1509 24 done do VBN 63372 1509 25 ; ; : 63372 1509 26 and and CC 63372 1509 27 we -PRON- PRP 63372 1509 28 should should MD 63372 1509 29 then then RB 63372 1509 30 be be VB 63372 1509 31 satisfied satisfied JJ 63372 1509 32 that that IN 63372 1509 33 every every DT 63372 1509 34 possible possible JJ 63372 1509 35 combination combination NN 63372 1509 36 of of IN 63372 1509 37 four four CD 63372 1509 38 values value NNS 63372 1509 39 , , , 63372 1509 40 $ $ $ 63372 1509 41 l$ l$ NNP 63372 1509 42 , , , 63372 1509 43 $ $ $ 63372 1509 44 p$ p$ NNP 63372 1509 45 , , , 63372 1509 46 $ $ $ 63372 1509 47 i$ i$ NNP 63372 1509 48 , , , 63372 1509 49 $ $ $ 63372 1509 50 t$ t$ NN 63372 1509 51 for for IN 63372 1509 52 these these DT 63372 1509 53 four four CD 63372 1509 54 identifying identify VBG 63372 1509 55 characteristics characteristic NNS 63372 1509 56 would would MD 63372 1509 57 give give VB 63372 1509 58 us -PRON- PRP 63372 1509 59 a a DT 63372 1509 60 musical musical JJ 63372 1509 61 effect effect NN 63372 1509 62 , , , 63372 1509 63 and and CC 63372 1509 64 one one NN 63372 1509 65 to to TO 63372 1509 66 be be VB 63372 1509 67 confused confuse VBN 63372 1509 68 with with IN 63372 1509 69 no no DT 63372 1509 70 other other JJ 63372 1509 71 . . . 63372 1510 1 There there EX 63372 1510 2 is be VBZ 63372 1510 3 in in IN 63372 1510 4 the the DT 63372 1510 5 physical physical JJ 63372 1510 6 world world NN 63372 1510 7 a a DT 63372 1510 8 vast vast JJ 63372 1510 9 quantity quantity NN 63372 1510 10 of of IN 63372 1510 11 continua continua NN 63372 1510 12 of of IN 63372 1510 13 one one CD 63372 1510 14 sort sort NN 63372 1510 15 or or CC 63372 1510 16 another another DT 63372 1510 17 . . . 63372 1511 1 The the DT 63372 1511 2 music music NN 63372 1511 3 - - HYPH 63372 1511 4 note note NN 63372 1511 5 continuum continuum NN 63372 1511 6 brings bring VBZ 63372 1511 7 attention attention NN 63372 1511 8 to to IN 63372 1511 9 the the DT 63372 1511 10 fact fact NN 63372 1511 11 that that IN 63372 1511 12 not not RB 63372 1511 13 all all DT 63372 1511 14 of of IN 63372 1511 15 these these DT 63372 1511 16 are be VBP 63372 1511 17 such such JJ 63372 1511 18 that that IN 63372 1511 19 their -PRON- PRP$ 63372 1511 20 elements element NNS 63372 1511 21 make make VBP 63372 1511 22 their -PRON- PRP$ 63372 1511 23 appeal appeal NN 63372 1511 24 to to IN 63372 1511 25 the the DT 63372 1511 26 visual visual JJ 63372 1511 27 sense sense NN 63372 1511 28 . . . 63372 1512 1 This this DT 63372 1512 2 remark remark NN 63372 1512 3 is be VBZ 63372 1512 4 a a DT 63372 1512 5 pertinent pertinent JJ 63372 1512 6 one one NN 63372 1512 7 ; ; : 63372 1512 8 for for IN 63372 1512 9 we -PRON- PRP 63372 1512 10 are be VBP 63372 1512 11 by by IN 63372 1512 12 every every DT 63372 1512 13 right right NN 63372 1512 14 of of IN 63372 1512 15 heritage heritage NN 63372 1512 16 an an DT 63372 1512 17 eye eye NN 63372 1512 18 - - HYPH 63372 1512 19 minded minded JJ 63372 1512 20 race race NN 63372 1512 21 , , , 63372 1512 22 and and CC 63372 1512 23 it -PRON- PRP 63372 1512 24 is be VBZ 63372 1512 25 frequently frequently RB 63372 1512 26 necessary necessary JJ 63372 1512 27 for for IN 63372 1512 28 us -PRON- PRP 63372 1512 29 to to TO 63372 1512 30 be be VB 63372 1512 31 reminded remind VBN 63372 1512 32 that that IN 63372 1512 33 so so RB 63372 1512 34 far far RB 63372 1512 35 as as IN 63372 1512 36 the the DT 63372 1512 37 external external JJ 63372 1512 38 world world NN 63372 1512 39 is be VBZ 63372 1512 40 concerned concern VBN 63372 1512 41 , , , 63372 1512 42 the the DT 63372 1512 43 verdict verdict NN 63372 1512 44 of of IN 63372 1512 45 every every DT 63372 1512 46 other other JJ 63372 1512 47 sense sense NN 63372 1512 48 is be VBZ 63372 1512 49 entirely entirely RB 63372 1512 50 on on IN 63372 1512 51 a a DT 63372 1512 52 par par NN 63372 1512 53 with with IN 63372 1512 54 that that DT 63372 1512 55 of of IN 63372 1512 56 sight sight NN 63372 1512 57 . . . 63372 1513 1 The the DT 63372 1513 2 things thing NNS 63372 1513 3 which which WDT 63372 1513 4 we -PRON- PRP 63372 1513 5 really really RB 63372 1513 6 see see VBP 63372 1513 7 , , , 63372 1513 8 like like IN 63372 1513 9 matter matter NN 63372 1513 10 , , , 63372 1513 11 and and CC 63372 1513 12 the the DT 63372 1513 13 things thing NNS 63372 1513 14 which which WDT 63372 1513 15 we -PRON- PRP 63372 1513 16 abstract abstract VBP 63372 1513 17 from from IN 63372 1513 18 these these DT 63372 1513 19 visual visual JJ 63372 1513 20 impressions impression NNS 63372 1513 21 , , , 63372 1513 22 like like IN 63372 1513 23 space space NN 63372 1513 24 , , , 63372 1513 25 are be VBP 63372 1513 26 by by IN 63372 1513 27 no no DT 63372 1513 28 means means NN 63372 1513 29 all all DT 63372 1513 30 there there EX 63372 1513 31 is be VBZ 63372 1513 32 to to IN 63372 1513 33 the the DT 63372 1513 34 world world NN 63372 1513 35 . . . 63372 1514 1 EUCLIDEAN EUCLIDEAN NNP 63372 1514 2 AND and CC 63372 1514 3 NON NON NNP 63372 1514 4 - - HYPH 63372 1514 5 EUCLIDEAN euclidean JJ 63372 1514 6 CONTINUA continuum NNS 63372 1514 7 If if IN 63372 1514 8 we -PRON- PRP 63372 1514 9 are be VBP 63372 1514 10 dealing deal VBG 63372 1514 11 with with IN 63372 1514 12 a a DT 63372 1514 13 continuum continuum NN 63372 1514 14 of of IN 63372 1514 15 any any DT 63372 1514 16 sort sort NN 63372 1514 17 whatever whatever WDT 63372 1514 18 having have VBG 63372 1514 19 one one CD 63372 1514 20 or or CC 63372 1514 21 two two CD 63372 1514 22 or or CC 63372 1514 23 three three CD 63372 1514 24 dimensions dimension NNS 63372 1514 25 , , , 63372 1514 26 we -PRON- PRP 63372 1514 27 are be VBP 63372 1514 28 able able JJ 63372 1514 29 to to TO 63372 1514 30 represent represent VB 63372 1514 31 it -PRON- PRP 63372 1514 32 graphically graphically RB 63372 1514 33 by by IN 63372 1514 34 means mean NNS 63372 1514 35 of of IN 63372 1514 36 the the DT 63372 1514 37 line line NN 63372 1514 38 , , , 63372 1514 39 the the DT 63372 1514 40 plane plane NN 63372 1514 41 , , , 63372 1514 42 or or CC 63372 1514 43 the the DT 63372 1514 44 three three CD 63372 1514 45 - - HYPH 63372 1514 46 space space NN 63372 1514 47 . . . 63372 1515 1 The the DT 63372 1515 2 same same JJ 63372 1515 3 set set NN 63372 1515 4 of of IN 63372 1515 5 numbers number NNS 63372 1515 6 that that WDT 63372 1515 7 defines define VBZ 63372 1515 8 an an DT 63372 1515 9 element element NN 63372 1515 10 of of IN 63372 1515 11 the the DT 63372 1515 12 given give VBN 63372 1515 13 continuum continuum NN 63372 1515 14 likewise likewise RB 63372 1515 15 defines define VBZ 63372 1515 16 an an DT 63372 1515 17 element element NN 63372 1515 18 of of IN 63372 1515 19 the the DT 63372 1515 20 Euclidean euclidean JJ 63372 1515 21 continuum continuum NN 63372 1515 22 of of IN 63372 1515 23 the the DT 63372 1515 24 same same JJ 63372 1515 25 dimensionality dimensionality NN 63372 1515 26 ; ; : 63372 1515 27 so so CC 63372 1515 28 the the DT 63372 1515 29 one one CD 63372 1515 30 continuum continuum NN 63372 1515 31 corresponds correspond VBZ 63372 1515 32 to to IN 63372 1515 33 the the DT 63372 1515 34 other other JJ 63372 1515 35 , , , 63372 1515 36 element element NN 63372 1515 37 for for IN 63372 1515 38 element element NN 63372 1515 39 , , , 63372 1515 40 and and CC 63372 1515 41 either either CC 63372 1515 42 may may MD 63372 1515 43 stand stand VB 63372 1515 44 for for IN 63372 1515 45 the the DT 63372 1515 46 other other JJ 63372 1515 47 . . . 63372 1516 1 But but CC 63372 1516 2 if if IN 63372 1516 3 we -PRON- PRP 63372 1516 4 have have VBP 63372 1516 5 a a DT 63372 1516 6 continuum continuum NN 63372 1516 7 of of IN 63372 1516 8 four four CD 63372 1516 9 or or CC 63372 1516 10 more more JJR 63372 1516 11 dimensions dimension NNS 63372 1516 12 , , , 63372 1516 13 this this DT 63372 1516 14 representation representation NN 63372 1516 15 breaks break VBZ 63372 1516 16 down down RP 63372 1516 17 in in IN 63372 1516 18 the the DT 63372 1516 19 absence absence NN 63372 1516 20 of of IN 63372 1516 21 a a DT 63372 1516 22 real real JJ 63372 1516 23 , , , 63372 1516 24 four four CD 63372 1516 25 - - HYPH 63372 1516 26 dimensional dimensional JJ 63372 1516 27 Euclidean euclidean JJ 63372 1516 28 point point NN 63372 1516 29 - - HYPH 63372 1516 30 space space NN 63372 1516 31 to to TO 63372 1516 32 serve serve VB 63372 1516 33 as as IN 63372 1516 34 a a DT 63372 1516 35 picture picture NN 63372 1516 36 . . . 63372 1517 1 This this DT 63372 1517 2 does do VBZ 63372 1517 3 not not RB 63372 1517 4 in in IN 63372 1517 5 the the DT 63372 1517 6 least least JJS 63372 1517 7 detract detract NN 63372 1517 8 from from IN 63372 1517 9 the the DT 63372 1517 10 reality reality NN 63372 1517 11 of of IN 63372 1517 12 the the DT 63372 1517 13 continuum continuum NN 63372 1517 14 which which WDT 63372 1517 15 we -PRON- PRP 63372 1517 16 are be VBP 63372 1517 17 thus thus RB 63372 1517 18 prevented prevent VBN 63372 1517 19 from from IN 63372 1517 20 representing represent VBG 63372 1517 21 graphically graphically RB 63372 1517 22 in in IN 63372 1517 23 the the DT 63372 1517 24 accustomed accustomed JJ 63372 1517 25 fashion fashion NN 63372 1517 26 . . . 63372 1518 1 The the DT 63372 1518 2 Euclidean euclidean JJ 63372 1518 3 representation representation NN 63372 1518 4 , , , 63372 1518 5 in in IN 63372 1518 6 fact fact NN 63372 1518 7 , , , 63372 1518 8 may may MD 63372 1518 9 in in IN 63372 1518 10 some some DT 63372 1518 11 cases case NNS 63372 1518 12 be be VB 63372 1518 13 unfortunate unfortunate JJ 63372 1518 14 -- -- : 63372 1518 15 it -PRON- PRP 63372 1518 16 may may MD 63372 1518 17 be be VB 63372 1518 18 so so RB 63372 1518 19 entirely entirely RB 63372 1518 20 without without IN 63372 1518 21 significance significance NN 63372 1518 22 as as IN 63372 1518 23 to to TO 63372 1518 24 be be VB 63372 1518 25 actually actually RB 63372 1518 26 misleading misleading JJ 63372 1518 27 . . . 63372 1519 1 For for IN 63372 1519 2 in in IN 63372 1519 3 the the DT 63372 1519 4 Euclidean euclidean JJ 63372 1519 5 continuum continuum NN 63372 1519 6 of of IN 63372 1519 7 points point NNS 63372 1519 8 , , , 63372 1519 9 be be VB 63372 1519 10 it -PRON- PRP 63372 1519 11 line line NN 63372 1519 12 , , , 63372 1519 13 plane plane NN 63372 1519 14 or or CC 63372 1519 15 three three CD 63372 1519 16 - - HYPH 63372 1519 17 space space NN 63372 1519 18 , , , 63372 1519 19 there there EX 63372 1519 20 are be VBP 63372 1519 21 certain certain JJ 63372 1519 22 things thing NNS 63372 1519 23 which which WDT 63372 1519 24 we -PRON- PRP 63372 1519 25 ordinarily ordinarily RB 63372 1519 26 regard regard VBP 63372 1519 27 as as IN 63372 1519 28 secondary secondary JJ 63372 1519 29 derived derive VBN 63372 1519 30 properties property NNS 63372 1519 31 , , , 63372 1519 32 but but CC 63372 1519 33 which which WDT 63372 1519 34 possess possess VBP 63372 1519 35 a a DT 63372 1519 36 great great JJ 63372 1519 37 deal deal NN 63372 1519 38 of of IN 63372 1519 39 significance significance NN 63372 1519 40 none none NN 63372 1519 41 the the DT 63372 1519 42 less less RBR 63372 1519 43 . . . 63372 1520 1 In in IN 63372 1520 2 particular particular JJ 63372 1520 3 , , , 63372 1520 4 in in IN 63372 1520 5 the the DT 63372 1520 6 Euclidean euclidean JJ 63372 1520 7 plane plane NN 63372 1520 8 and and CC 63372 1520 9 in in IN 63372 1520 10 Euclidean Euclidean NNP 63372 1520 11 three three CD 63372 1520 12 - - HYPH 63372 1520 13 space space NN 63372 1520 14 , , , 63372 1520 15 there there EX 63372 1520 16 is be VBZ 63372 1520 17 the the DT 63372 1520 18 distance distance NN 63372 1520 19 between between IN 63372 1520 20 two two CD 63372 1520 21 points point NNS 63372 1520 22 . . . 63372 1521 1 I -PRON- PRP 63372 1521 2 have have VBP 63372 1521 3 indicated indicate VBN 63372 1521 4 , , , 63372 1521 5 in in IN 63372 1521 6 the the DT 63372 1521 7 chapter chapter NN 63372 1521 8 on on IN 63372 1521 9 non non JJ 63372 1521 10 - - JJ 63372 1521 11 Euclidean euclidean JJ 63372 1521 12 geometry geometry NN 63372 1521 13 , , , 63372 1521 14 that that IN 63372 1521 15 the the DT 63372 1521 16 parallel parallel JJ 63372 1521 17 postulate postulate NN 63372 1521 18 of of IN 63372 1521 19 Euclid Euclid NNP 63372 1521 20 , , , 63372 1521 21 which which WDT 63372 1521 22 distinguishes distinguish VBZ 63372 1521 23 his -PRON- PRP$ 63372 1521 24 geometry geometry NN 63372 1521 25 from from IN 63372 1521 26 others other NNS 63372 1521 27 , , , 63372 1521 28 could could MD 63372 1521 29 be be VB 63372 1521 30 replaced replace VBN 63372 1521 31 by by IN 63372 1521 32 any any DT 63372 1521 33 one one CD 63372 1521 34 of of IN 63372 1521 35 numerous numerous JJ 63372 1521 36 other other JJ 63372 1521 37 postulates postulate NNS 63372 1521 38 . . . 63372 1522 1 Grant Grant NNP 63372 1522 2 Euclid Euclid NNP 63372 1522 3 's 's POS 63372 1522 4 postulate postulate NN 63372 1522 5 and and CC 63372 1522 6 you -PRON- PRP 63372 1522 7 can can MD 63372 1522 8 prove prove VB 63372 1522 9 any any DT 63372 1522 10 of of IN 63372 1522 11 these these DT 63372 1522 12 substitutes substitute NNS 63372 1522 13 ; ; : 63372 1522 14 grant grant VB 63372 1522 15 any any DT 63372 1522 16 of of IN 63372 1522 17 the the DT 63372 1522 18 substitutes substitute NNS 63372 1522 19 and and CC 63372 1522 20 you -PRON- PRP 63372 1522 21 can can MD 63372 1522 22 prove prove VB 63372 1522 23 Euclid Euclid NNP 63372 1522 24 's 's POS 63372 1522 25 postulate postulate NN 63372 1522 26 . . . 63372 1523 1 Now now RB 63372 1523 2 it -PRON- PRP 63372 1523 3 happens happen VBZ 63372 1523 4 that that IN 63372 1523 5 there there EX 63372 1523 6 is be VBZ 63372 1523 7 one one CD 63372 1523 8 of of IN 63372 1523 9 these these DT 63372 1523 10 substitutes substitute NNS 63372 1523 11 to to TO 63372 1523 12 which which WDT 63372 1523 13 modern modern JJ 63372 1523 14 analysis analysis NN 63372 1523 15 has have VBZ 63372 1523 16 given give VBN 63372 1523 17 a a DT 63372 1523 18 position position NN 63372 1523 19 of of IN 63372 1523 20 considerable considerable JJ 63372 1523 21 importance importance NN 63372 1523 22 . . . 63372 1524 1 It -PRON- PRP 63372 1524 2 is be VBZ 63372 1524 3 merely merely RB 63372 1524 4 our -PRON- PRP$ 63372 1524 5 good good JJ 63372 1524 6 old old JJ 63372 1524 7 friend friend NN 63372 1524 8 the the DT 63372 1524 9 Pythagorean pythagorean JJ 63372 1524 10 theorem theorem NN 63372 1524 11 , , , 63372 1524 12 that that IN 63372 1524 13 the the DT 63372 1524 14 square square NN 63372 1524 15 on on IN 63372 1524 16 the the DT 63372 1524 17 hypotenuse hypotenuse NN 63372 1524 18 equals equal VBZ 63372 1524 19 the the DT 63372 1524 20 sum sum NN 63372 1524 21 of of IN 63372 1524 22 the the DT 63372 1524 23 squares square NNS 63372 1524 24 on on IN 63372 1524 25 the the DT 63372 1524 26 sides side NNS 63372 1524 27 ; ; : 63372 1524 28 but but CC 63372 1524 29 it -PRON- PRP 63372 1524 30 is be VBZ 63372 1524 31 dressed dressed JJ 63372 1524 32 in in IN 63372 1524 33 new new JJ 63372 1524 34 clothes clothe NNS 63372 1524 35 for for IN 63372 1524 36 the the DT 63372 1524 37 present present JJ 63372 1524 38 occasion occasion NN 63372 1524 39 . . . 63372 1525 1 Mr. Mr. NNP 63372 1525 2 Francis Francis NNP 63372 1525 3 ' ' POS 63372 1525 4 discussion discussion NN 63372 1525 5 of of IN 63372 1525 6 this this DT 63372 1525 7 part part NN 63372 1525 8 of of IN 63372 1525 9 the the DT 63372 1525 10 subject subject NN 63372 1525 11 , , , 63372 1525 12 and and CC 63372 1525 13 especially especially RB 63372 1525 14 his -PRON- PRP$ 63372 1525 15 figure figure NN 63372 1525 16 , , , 63372 1525 17 ought ought MD 63372 1525 18 to to TO 63372 1525 19 make make VB 63372 1525 20 it -PRON- PRP 63372 1525 21 clear clear JJ 63372 1525 22 that that IN 63372 1525 23 this this DT 63372 1525 24 theorem theorem NN 63372 1525 25 can can MD 63372 1525 26 be be VB 63372 1525 27 considered consider VBN 63372 1525 28 as as IN 63372 1525 29 dealing deal VBG 63372 1525 30 with with IN 63372 1525 31 the the DT 63372 1525 32 distance distance NN 63372 1525 33 between between IN 63372 1525 34 any any DT 63372 1525 35 two two CD 63372 1525 36 points point NNS 63372 1525 37 . . . 63372 1526 1 When when WRB 63372 1526 2 we -PRON- PRP 63372 1526 3 so so RB 63372 1526 4 consider consider VBP 63372 1526 5 it -PRON- PRP 63372 1526 6 , , , 63372 1526 7 and and CC 63372 1526 8 take take VB 63372 1526 9 it -PRON- PRP 63372 1526 10 as as IN 63372 1526 11 the the DT 63372 1526 12 fundamental fundamental JJ 63372 1526 13 , , , 63372 1526 14 defining define VBG 63372 1526 15 postulate postulate NN 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IN 63372 1528 12 this this DT 63372 1528 13 distance distance NN 63372 1528 14 is be VBZ 63372 1528 15 the the DT 63372 1528 16 same same JJ 63372 1528 17 for for IN 63372 1528 18 all all DT 63372 1528 19 observers observer NNS 63372 1528 20 , , , 63372 1528 21 no no RB 63372 1528 22 matter matter RB 63372 1528 23 how how WRB 63372 1528 24 different different JJ 63372 1528 25 their -PRON- PRP$ 63372 1528 26 values value NNS 63372 1528 27 for for IN 63372 1528 28 the the DT 63372 1528 29 individual individual JJ 63372 1528 30 coordinates coordinate NNS 63372 1528 31 of of IN 63372 1528 32 the the DT 63372 1528 33 individual individual JJ 63372 1528 34 points point NNS 63372 1528 35 . . . 63372 1529 1 And and CC 63372 1529 2 we -PRON- PRP 63372 1529 3 have have VBP 63372 1529 4 , , , 63372 1529 5 finally finally RB 63372 1529 6 , , , 63372 1529 7 as as IN 63372 1529 8 a a DT 63372 1529 9 direct direct JJ 63372 1529 10 result result NN 63372 1529 11 of of IN 63372 1529 12 looking look VBG 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PRP 63372 1531 2 have have VBP 63372 1531 3 then then RB 63372 1531 4 a a DT 63372 1531 5 natural natural JJ 63372 1531 6 law law NN 63372 1531 7 -- -- : 63372 1531 8 the the DT 63372 1531 9 fundamental fundamental JJ 63372 1531 10 natural natural JJ 63372 1531 11 law law NN 63372 1531 12 characterizing characterize VBG 63372 1531 13 Euclidean Euclidean NNP 63372 1531 14 space space NN 63372 1531 15 . . . 63372 1532 1 If if IN 63372 1532 2 we -PRON- PRP 63372 1532 3 wish wish VBP 63372 1532 4 to to TO 63372 1532 5 apply apply VB 63372 1532 6 it -PRON- PRP 63372 1532 7 to to IN 63372 1532 8 the the DT 63372 1532 9 Euclidean Euclidean NNP 63372 1532 10 two two CD 63372 1532 11 - - HYPH 63372 1532 12 space space NN 63372 1532 13 ( ( -LRB- 63372 1532 14 the the DT 63372 1532 15 plane plane NN 63372 1532 16 ) ) -RRB- 63372 1532 17 we -PRON- PRP 63372 1532 18 have have VBP 63372 1532 19 only only RB 63372 1532 20 to to TO 63372 1532 21 drop drop VB 63372 1532 22 out out RP 63372 1532 23 the the DT 63372 1532 24 superfluous superfluous JJ 63372 1532 25 coordinate coordinate NN 63372 1532 26 - - HYPH 63372 1532 27 difference difference NN 63372 1532 28 ; ; : 63372 1532 29 if if IN 63372 1532 30 we -PRON- PRP 63372 1532 31 wish wish VBP 63372 1532 32 to to TO 63372 1532 33 see see VB 63372 1532 34 by by IN 63372 1532 35 analogy analogy NN 63372 1532 36 what what WP 63372 1532 37 would would MD 63372 1532 38 be be VB 63372 1532 39 the the DT 63372 1532 40 fundamental fundamental JJ 63372 1532 41 natural natural JJ 63372 1532 42 law law NN 63372 1532 43 for for IN 63372 1532 44 a a DT 63372 1532 45 four four CD 63372 1532 46 - - HYPH 63372 1532 47 dimensional dimensional JJ 63372 1532 48 Euclidean euclidean JJ 63372 1532 49 space space NN 63372 1532 50 , , , 63372 1532 51 we -PRON- PRP 63372 1532 52 have have VBP 63372 1532 53 only only RB 63372 1532 54 to to TO 63372 1532 55 introduce introduce VB 63372 1532 56 under under IN 63372 1532 57 the the DT 63372 1532 58 radical radical JJ 63372 1532 59 a a DT 63372 1532 60 fourth fourth JJ 63372 1532 61 coordinate coordinate NN 63372 1532 62 - - HYPH 63372 1532 63 difference difference NN 63372 1532 64 for for IN 63372 1532 65 the the DT 63372 1532 66 fourth fourth JJ 63372 1532 67 dimension dimension NN 63372 1532 68 . . . 63372 1533 1 If if IN 63372 1533 2 we -PRON- PRP 63372 1533 3 were be VBD 63372 1533 4 not not RB 63372 1533 5 able able JJ 63372 1533 6 to to TO 63372 1533 7 attach attach VB 63372 1533 8 any any DT 63372 1533 9 concrete concrete JJ 63372 1533 10 meaning meaning NN 63372 1533 11 to to IN 63372 1533 12 the the DT 63372 1533 13 expression expression NN 63372 1533 14 for for IN 63372 1533 15 $ $ $ 63372 1533 16 D$ d$ $ 63372 1533 17 the the DT 63372 1533 18 value value NN 63372 1533 19 of of IN 63372 1533 20 all all PDT 63372 1533 21 this this DT 63372 1533 22 would would MD 63372 1533 23 be be VB 63372 1533 24 materially materially RB 63372 1533 25 lessened lessen VBN 63372 1533 26 . . . 63372 1534 1 Consider consider VB 63372 1534 2 , , , 63372 1534 3 for for IN 63372 1534 4 instance instance NN 63372 1534 5 , , , 63372 1534 6 the the DT 63372 1534 7 continuum continuum NN 63372 1534 8 of of IN 63372 1534 9 music music NN 63372 1534 10 notes note NNS 63372 1534 11 . . . 63372 1535 1 There there EX 63372 1535 2 is be VBZ 63372 1535 3 no no DT 63372 1535 4 distance distance NN 63372 1535 5 between between IN 63372 1535 6 different different JJ 63372 1535 7 notes note NNS 63372 1535 8 . . . 63372 1536 1 There there EX 63372 1536 2 is be VBZ 63372 1536 3 of of IN 63372 1536 4 course course NN 63372 1536 5 significance significance NN 63372 1536 6 in in IN 63372 1536 7 talking talk VBG 63372 1536 8 about about IN 63372 1536 9 the the DT 63372 1536 10 difference difference NN 63372 1536 11 in in IN 63372 1536 12 pitch pitch NN 63372 1536 13 , , , 63372 1536 14 in in IN 63372 1536 15 intensity intensity NN 63372 1536 16 , , , 63372 1536 17 in in IN 63372 1536 18 duration duration NN 63372 1536 19 , , , 63372 1536 20 in in IN 63372 1536 21 timbre timbre NNP 63372 1536 22 , , , 63372 1536 23 between between IN 63372 1536 24 two two CD 63372 1536 25 notes note NNS 63372 1536 26 ; ; : 63372 1536 27 but but CC 63372 1536 28 there there EX 63372 1536 29 is be VBZ 63372 1536 30 none none NN 63372 1536 31 in in IN 63372 1536 32 a a DT 63372 1536 33 mode mode NN 63372 1536 34 of of IN 63372 1536 35 speech speech NN 63372 1536 36 that that WDT 63372 1536 37 implies imply VBZ 63372 1536 38 a a DT 63372 1536 39 composite composite JJ 63372 1536 40 expression expression NN 63372 1536 41 indicating indicate VBG 63372 1536 42 how how WRB 63372 1536 43 far far RB 63372 1536 44 one one CD 63372 1536 45 note note NN 63372 1536 46 escapes escape NNS 63372 1536 47 being be VBG 63372 1536 48 identical identical JJ 63372 1536 49 with with IN 63372 1536 50 another another DT 63372 1536 51 in in IN 63372 1536 52 all all DT 63372 1536 53 four four CD 63372 1536 54 respects respect NNS 63372 1536 55 at at IN 63372 1536 56 once once RB 63372 1536 57 . . . 63372 1537 1 The the DT 63372 1537 2 trouble trouble NN 63372 1537 3 , , , 63372 1537 4 of of IN 63372 1537 5 course course NN 63372 1537 6 , , , 63372 1537 7 is be VBZ 63372 1537 8 that that IN 63372 1537 9 the the DT 63372 1537 10 four four CD 63372 1537 11 dimensions dimension NNS 63372 1537 12 of of IN 63372 1537 13 the the DT 63372 1537 14 music music NN 63372 1537 15 - - HYPH 63372 1537 16 note note NN 63372 1537 17 continuum continuum NN 63372 1537 18 are be VBP 63372 1537 19 not not RB 63372 1537 20 measurable measurable JJ 63372 1537 21 in in IN 63372 1537 22 terms term NNS 63372 1537 23 of of IN 63372 1537 24 a a DT 63372 1537 25 common common JJ 63372 1537 26 unit unit NN 63372 1537 27 . . . 63372 1538 1 If if IN 63372 1538 2 they -PRON- PRP 63372 1538 3 were be VBD 63372 1538 4 , , , 63372 1538 5 we -PRON- PRP 63372 1538 6 should should MD 63372 1538 7 expect expect VB 63372 1538 8 to to TO 63372 1538 9 measure measure VB 63372 1538 10 their -PRON- PRP$ 63372 1538 11 combination combination NN 63372 1538 12 more more RBR 63372 1538 13 or or CC 63372 1538 14 less less RBR 63372 1538 15 absolutely absolutely RB 63372 1538 16 in in IN 63372 1538 17 terms term NNS 63372 1538 18 of of IN 63372 1538 19 this this DT 63372 1538 20 same same JJ 63372 1538 21 unit unit NN 63372 1538 22 . . . 63372 1539 1 We -PRON- PRP 63372 1539 2 can can MD 63372 1539 3 make make VB 63372 1539 4 measurements measurement NNS 63372 1539 5 in in IN 63372 1539 6 all all DT 63372 1539 7 three three CD 63372 1539 8 dimensions dimension NNS 63372 1539 9 of of IN 63372 1539 10 Euclidean euclidean JJ 63372 1539 11 space space NN 63372 1539 12 with with IN 63372 1539 13 the the DT 63372 1539 14 same same JJ 63372 1539 15 unit unit NN 63372 1539 16 , , , 63372 1539 17 with with IN 63372 1539 18 the the DT 63372 1539 19 same same JJ 63372 1539 20 measuring measuring NN 63372 1539 21 rod rod NN 63372 1539 22 in in IN 63372 1539 23 fact fact NN 63372 1539 24 . . . 63372 1540 1 [ [ -LRB- 63372 1540 2 This this DT 63372 1540 3 presents present VBZ 63372 1540 4 a a DT 63372 1540 5 peculiarity peculiarity NN 63372 1540 6 of of IN 63372 1540 7 our -PRON- PRP$ 63372 1540 8 three three CD 63372 1540 9 - - HYPH 63372 1540 10 space space NN 63372 1540 11 which which WDT 63372 1540 12 is be VBZ 63372 1540 13 not not RB 63372 1540 14 possessed possess VBN 63372 1540 15 by by IN 63372 1540 16 all all DT 63372 1540 17 three three CD 63372 1540 18 - - HYPH 63372 1540 19 dimensional dimensional JJ 63372 1540 20 manifolds manifold NNS 63372 1540 21 . . . 63372 1541 1 Riemann Riemann NNP 63372 1541 2 has have VBZ 63372 1541 3 given give VBN 63372 1541 4 another another DT 63372 1541 5 illustration illustration NN 63372 1541 6 in in IN 63372 1541 7 the the DT 63372 1541 8 system system NN 63372 1541 9 of of IN 63372 1541 10 all all DT 63372 1541 11 possible possible JJ 63372 1541 12 colors color NNS 63372 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between between IN 63372 1542 22 two two CD 63372 1542 23 colors color NNS 63372 1542 24 in in IN 63372 1542 25 terms term NNS 63372 1542 26 of of IN 63372 1542 27 the the DT 63372 1542 28 difference difference NN 63372 1542 29 between between IN 63372 1542 30 two two CD 63372 1542 31 others other NNS 63372 1542 32 . . . 63372 1543 1 ] ] -RRB- 63372 1543 2 130 130 CD 63372 1543 3 Accordingly accordingly RB 63372 1543 4 , , , 63372 1543 5 in in IN 63372 1543 6 spite spite NN 63372 1543 7 of of IN 63372 1543 8 the the DT 63372 1543 9 fact fact NN 63372 1543 10 that that IN 63372 1543 11 the the DT 63372 1543 12 Euclidean Euclidean NNP 63372 1543 13 three three CD 63372 1543 14 - - HYPH 63372 1543 15 space space NN 63372 1543 16 gives give VBZ 63372 1543 17 us -PRON- PRP 63372 1543 18 a a DT 63372 1543 19 formal formal JJ 63372 1543 20 representation representation NN 63372 1543 21 of of IN 63372 1543 22 the the DT 63372 1543 23 color color NN 63372 1543 24 continuum continuum NN 63372 1543 25 , , , 63372 1543 26 and and CC 63372 1543 27 in in IN 63372 1543 28 spite spite NN 63372 1543 29 of of IN 63372 1543 30 the the DT 63372 1543 31 fact fact NN 63372 1543 32 that that IN 63372 1543 33 the the DT 63372 1543 34 hypothetical hypothetical JJ 63372 1543 35 four four CD 63372 1543 36 - - HYPH 63372 1543 37 dimensional dimensional JJ 63372 1543 38 Euclidean euclidean JJ 63372 1543 39 space space NN 63372 1543 40 would would MD 63372 1543 41 perform perform VB 63372 1543 42 a a DT 63372 1543 43 like like JJ 63372 1543 44 office office NN 63372 1543 45 for for IN 63372 1543 46 the the DT 63372 1543 47 music music NN 63372 1543 48 - - HYPH 63372 1543 49 note note NN 63372 1543 50 continuum continuum NN 63372 1543 51 , , , 63372 1543 52 this this DT 63372 1543 53 representation representation NN 63372 1543 54 would would MD 63372 1543 55 be be VB 63372 1543 56 without without IN 63372 1543 57 significance significance NN 63372 1543 58 . . . 63372 1544 1 We -PRON- PRP 63372 1544 2 should should MD 63372 1544 3 not not RB 63372 1544 4 say say VB 63372 1544 5 that that IN 63372 1544 6 the the DT 63372 1544 7 geometry geometry NN 63372 1544 8 of of IN 63372 1544 9 these these DT 63372 1544 10 two two CD 63372 1544 11 manifolds manifold NNS 63372 1544 12 is be VBZ 63372 1544 13 Euclidean euclidean JJ 63372 1544 14 . . . 63372 1545 1 We -PRON- PRP 63372 1545 2 should should MD 63372 1545 3 realize realize VB 63372 1545 4 that that IN 63372 1545 5 any any DT 63372 1545 6 set set NN 63372 1545 7 of of IN 63372 1545 8 numerical numerical JJ 63372 1545 9 elements element NNS 63372 1545 10 can can MD 63372 1545 11 be be VB 63372 1545 12 plotted plot VBN 63372 1545 13 in in IN 63372 1545 14 a a DT 63372 1545 15 Euclidean euclidean JJ 63372 1545 16 space space NN 63372 1545 17 of of IN 63372 1545 18 the the DT 63372 1545 19 appropriate appropriate JJ 63372 1545 20 dimensionality dimensionality NN 63372 1545 21 ; ; : 63372 1545 22 and and CC 63372 1545 23 that that IN 63372 1545 24 accordingly accordingly RB 63372 1545 25 , , , 63372 1545 26 before before IN 63372 1545 27 allowing allow VBG 63372 1545 28 such such PDT 63372 1545 29 a a DT 63372 1545 30 plot plot NN 63372 1545 31 to to TO 63372 1545 32 influence influence VB 63372 1545 33 us -PRON- PRP 63372 1545 34 to to TO 63372 1545 35 classify classify VB 63372 1545 36 the the DT 63372 1545 37 geometry geometry NN 63372 1545 38 of of IN 63372 1545 39 the the DT 63372 1545 40 given give VBN 63372 1545 41 manifold manifold NN 63372 1545 42 as as IN 63372 1545 43 Euclidean Euclidean NNP 63372 1545 44 , , , 63372 1545 45 we -PRON- PRP 63372 1545 46 must must MD 63372 1545 47 pause pause VB 63372 1545 48 long long RB 63372 1545 49 enough enough RB 63372 1545 50 to to TO 63372 1545 51 ask ask VB 63372 1545 52 whether whether IN 63372 1545 53 the the DT 63372 1545 54 rest rest NN 63372 1545 55 of of IN 63372 1545 56 the the DT 63372 1545 57 Euclidean euclidean JJ 63372 1545 58 system system NN 63372 1545 59 fits fit VBZ 63372 1545 60 into into IN 63372 1545 61 the the DT 63372 1545 62 picture picture NN 63372 1545 63 . . . 63372 1546 1 If if IN 63372 1546 2 the the DT 63372 1546 3 square square JJ 63372 1546 4 root root NN 63372 1546 5 of of IN 63372 1546 6 the the DT 63372 1546 7 sum sum NN 63372 1546 8 of of IN 63372 1546 9 the the DT 63372 1546 10 squares square NNS 63372 1546 11 of of IN 63372 1546 12 the the DT 63372 1546 13 coordinate coordinate NN 63372 1546 14 - - HYPH 63372 1546 15 differences difference NNS 63372 1546 16 between between IN 63372 1546 17 two two CD 63372 1546 18 elements element NNS 63372 1546 19 possesses possess VBZ 63372 1546 20 significance significance NN 63372 1546 21 in in IN 63372 1546 22 the the DT 63372 1546 23 given give VBN 63372 1546 24 continuum continuum NN 63372 1546 25 , , , 63372 1546 26 and and CC 63372 1546 27 if if IN 63372 1546 28 it -PRON- PRP 63372 1546 29 is be VBZ 63372 1546 30 invariant invariant JJ 63372 1546 31 between between IN 63372 1546 32 observers observer NNS 63372 1546 33 of of IN 63372 1546 34 that that DT 63372 1546 35 continuum continuum NN 63372 1546 36 who who WP 63372 1546 37 employ employ VBP 63372 1546 38 different different JJ 63372 1546 39 bases basis NNS 63372 1546 40 of of IN 63372 1546 41 reference reference NN 63372 1546 42 , , , 63372 1546 43 then then RB 63372 1546 44 and and CC 63372 1546 45 only only RB 63372 1546 46 then then RB 63372 1546 47 may may MD 63372 1546 48 we -PRON- PRP 63372 1546 49 allege allege VB 63372 1546 50 the the DT 63372 1546 51 Euclidean euclidean JJ 63372 1546 52 character character NN 63372 1546 53 of of IN 63372 1546 54 the the DT 63372 1546 55 given give VBN 63372 1546 56 continuum continuum NN 63372 1546 57 . . . 63372 1547 1 If if IN 63372 1547 2 under under IN 63372 1547 3 this this DT 63372 1547 4 test test NN 63372 1547 5 the the DT 63372 1547 6 given give VBN 63372 1547 7 continuum continuum NN 63372 1547 8 fails fail NNS 63372 1547 9 of of IN 63372 1547 10 Euclideanism euclideanism NN 63372 1547 11 , , , 63372 1547 12 it -PRON- PRP 63372 1547 13 is be VBZ 63372 1547 14 in in IN 63372 1547 15 order order NN 63372 1547 16 to to TO 63372 1547 17 ask ask VB 63372 1547 18 what what WDT 63372 1547 19 type type NN 63372 1547 20 of of IN 63372 1547 21 geometry geometry NN 63372 1547 22 it -PRON- PRP 63372 1547 23 does do VBZ 63372 1547 24 present present VB 63372 1547 25 . . . 63372 1548 1 If if IN 63372 1548 2 it -PRON- PRP 63372 1548 3 is be VBZ 63372 1548 4 of of IN 63372 1548 5 such such JJ 63372 1548 6 character character NN 63372 1548 7 that that IN 63372 1548 8 the the DT 63372 1548 9 " " `` 63372 1548 10 distance distance NN 63372 1548 11 " " '' 63372 1548 12 between between IN 63372 1548 13 two two CD 63372 1548 14 elements element NNS 63372 1548 15 possesses possess VBZ 63372 1548 16 significance significance NN 63372 1548 17 , , , 63372 1548 18 we -PRON- PRP 63372 1548 19 should should MD 63372 1548 20 answer answer VB 63372 1548 21 this this DT 63372 1548 22 question question NN 63372 1548 23 by by IN 63372 1548 24 investigating investigate VBG 63372 1548 25 that that DT 63372 1548 26 distance distance NN 63372 1548 27 in in IN 63372 1548 28 the the DT 63372 1548 29 hope hope NN 63372 1548 30 of of IN 63372 1548 31 discovering discover VBG 63372 1548 32 a a DT 63372 1548 33 non non JJ 63372 1548 34 - - JJ 63372 1548 35 Euclidean euclidean JJ 63372 1548 36 expression expression NN 63372 1548 37 for for IN 63372 1548 38 it -PRON- PRP 63372 1548 39 which which WDT 63372 1548 40 will will MD 63372 1548 41 be be VB 63372 1548 42 invariant invariant JJ 63372 1548 43 . . . 63372 1549 1 If if IN 63372 1549 2 it -PRON- PRP 63372 1549 3 is be VBZ 63372 1549 4 not not RB 63372 1549 5 of of IN 63372 1549 6 such such JJ 63372 1549 7 character character NN 63372 1549 8 , , , 63372 1549 9 we -PRON- PRP 63372 1549 10 should should MD 63372 1549 11 seek seek VB 63372 1549 12 some some DT 63372 1549 13 other other JJ 63372 1549 14 characteristic characteristic NN 63372 1549 15 of of IN 63372 1549 16 single single JJ 63372 1549 17 elements element NNS 63372 1549 18 or or CC 63372 1549 19 groups group NNS 63372 1549 20 of of IN 63372 1549 21 elements element NNS 63372 1549 22 , , , 63372 1549 23 of of IN 63372 1549 24 real real JJ 63372 1549 25 physical physical JJ 63372 1549 26 significance significance NN 63372 1549 27 and and CC 63372 1549 28 of of IN 63372 1549 29 such such JJ 63372 1549 30 sort sort NN 63372 1549 31 that that WDT 63372 1549 32 the the DT 63372 1549 33 numerical numerical JJ 63372 1549 34 expression expression NN 63372 1549 35 for for IN 63372 1549 36 it -PRON- PRP 63372 1549 37 would would MD 63372 1549 38 be be VB 63372 1549 39 invariant invariant JJ 63372 1549 40 . . . 63372 1550 1 If if IN 63372 1550 2 the the DT 63372 1550 3 continuum continuum NN 63372 1550 4 with with IN 63372 1550 5 which which WDT 63372 1550 6 we -PRON- PRP 63372 1550 7 have have VBP 63372 1550 8 to to TO 63372 1550 9 do do VB 63372 1550 10 is be VBZ 63372 1550 11 one one CD 63372 1550 12 in in IN 63372 1550 13 which which WDT 63372 1550 14 the the DT 63372 1550 15 " " `` 63372 1550 16 distance distance NN 63372 1550 17 " " '' 63372 1550 18 between between IN 63372 1550 19 two two CD 63372 1550 20 elements element NNS 63372 1550 21 possesses possess VBZ 63372 1550 22 significance significance NN 63372 1550 23 , , , 63372 1550 24 and and CC 63372 1550 25 if if IN 63372 1550 26 it -PRON- PRP 63372 1550 27 turns turn VBZ 63372 1550 28 out out RP 63372 1550 29 that that IN 63372 1550 30 the the DT 63372 1550 31 invariant invariant JJ 63372 1550 32 expression expression NN 63372 1550 33 for for IN 63372 1550 34 this this DT 63372 1550 35 distance distance NN 63372 1550 36 is be VBZ 63372 1550 37 not not RB 63372 1550 38 the the DT 63372 1550 39 Pythagorean pythagorean JJ 63372 1550 40 one one NN 63372 1550 41 , , , 63372 1550 42 but but CC 63372 1550 43 one one CD 63372 1550 44 indicating indicate VBG 63372 1550 45 the the DT 63372 1550 46 non non NN 63372 1550 47 - - NN 63372 1550 48 Euclideanism euclideanism NN 63372 1550 49 of of IN 63372 1550 50 our -PRON- PRP$ 63372 1550 51 continuum continuum NN 63372 1550 52 , , , 63372 1550 53 we -PRON- PRP 63372 1550 54 say say VBP 63372 1550 55 that that IN 63372 1550 56 this this DT 63372 1550 57 continuum continuum NN 63372 1550 58 has have VBZ 63372 1550 59 a a DT 63372 1550 60 " " `` 63372 1550 61 curvature curvature JJ 63372 1550 62 . . . 63372 1550 63 " " '' 63372 1551 1 This this DT 63372 1551 2 means mean VBZ 63372 1551 3 that that IN 63372 1551 4 , , , 63372 1551 5 if if IN 63372 1551 6 we -PRON- PRP 63372 1551 7 interpret interpret VBP 63372 1551 8 the the DT 63372 1551 9 elements element NNS 63372 1551 10 of of IN 63372 1551 11 our -PRON- PRP$ 63372 1551 12 continuum continuum NN 63372 1551 13 as as IN 63372 1551 14 points point NNS 63372 1551 15 in in IN 63372 1551 16 space space NN 63372 1551 17 ( ( -LRB- 63372 1551 18 which which WDT 63372 1551 19 of of IN 63372 1551 20 course course NN 63372 1551 21 we -PRON- PRP 63372 1551 22 may may MD 63372 1551 23 properly properly RB 63372 1551 24 do do VB 63372 1551 25 ) ) -RRB- 63372 1551 26 and and CC 63372 1551 27 if if IN 63372 1551 28 we -PRON- PRP 63372 1551 29 then then RB 63372 1551 30 try try VBP 63372 1551 31 to to TO 63372 1551 32 superpose superpose VB 63372 1551 33 this this DT 63372 1551 34 point point NN 63372 1551 35 - - HYPH 63372 1551 36 continuum continuum NN 63372 1551 37 upon upon IN 63372 1551 38 a a DT 63372 1551 39 Euclidean euclidean JJ 63372 1551 40 continuum continuum NN 63372 1551 41 , , , 63372 1551 42 it -PRON- PRP 63372 1551 43 will will MD 63372 1551 44 not not RB 63372 1551 45 " " `` 63372 1551 46 go go VB 63372 1551 47 " " '' 63372 1551 48 ; ; : 63372 1551 49 we -PRON- PRP 63372 1551 50 shall shall MD 63372 1551 51 be be VB 63372 1551 52 caught catch VBN 63372 1551 53 in in IN 63372 1551 54 some some DT 63372 1551 55 such such JJ 63372 1551 56 absurdity absurdity NN 63372 1551 57 as as IN 63372 1551 58 trying try VBG 63372 1551 59 to to TO 63372 1551 60 force force VB 63372 1551 61 a a DT 63372 1551 62 sphere sphere NN 63372 1551 63 into into IN 63372 1551 64 coincidence coincidence NN 63372 1551 65 with with IN 63372 1551 66 a a DT 63372 1551 67 plane plane NN 63372 1551 68 . . . 63372 1552 1 And and CC 63372 1552 2 of of IN 63372 1552 3 course course NN 63372 1552 4 if if IN 63372 1552 5 it -PRON- PRP 63372 1552 6 wo will MD 63372 1552 7 n't not RB 63372 1552 8 go go VB 63372 1552 9 , , , 63372 1552 10 the the DT 63372 1552 11 only only JJ 63372 1552 12 possible possible JJ 63372 1552 13 reason reason NN 63372 1552 14 is be VBZ 63372 1552 15 that that IN 63372 1552 16 it -PRON- PRP 63372 1552 17 is be VBZ 63372 1552 18 curved curved JJ 63372 1552 19 or or CC 63372 1552 20 distorted distort VBN 63372 1552 21 , , , 63372 1552 22 like like IN 63372 1552 23 the the DT 63372 1552 24 sphere sphere NN 63372 1552 25 , , , 63372 1552 26 in in IN 63372 1552 27 such such PDT 63372 1552 28 a a DT 63372 1552 29 way way NN 63372 1552 30 as as IN 63372 1552 31 to to TO 63372 1552 32 prevent prevent VB 63372 1552 33 its -PRON- PRP$ 63372 1552 34 going going NN 63372 1552 35 . . . 63372 1553 1 It -PRON- PRP 63372 1553 2 is be VBZ 63372 1553 3 unfortunate unfortunate JJ 63372 1553 4 that that IN 63372 1553 5 the the DT 63372 1553 6 visualizing visualizing NN 63372 1553 7 of of IN 63372 1553 8 such such JJ 63372 1553 9 curvature curvature NN 63372 1553 10 requires require VBZ 63372 1553 11 the the DT 63372 1553 12 visualizing visualizing NN 63372 1553 13 of of IN 63372 1553 14 an an DT 63372 1553 15 additional additional JJ 63372 1553 16 dimension dimension NN 63372 1553 17 for for IN 63372 1553 18 the the DT 63372 1553 19 curved curved JJ 63372 1553 20 continuum continuum NN 63372 1553 21 to to TO 63372 1553 22 curve curve VB 63372 1553 23 into into IN 63372 1553 24 ; ; : 63372 1553 25 so so IN 63372 1553 26 that that IN 63372 1553 27 while while IN 63372 1553 28 we -PRON- PRP 63372 1553 29 can can MD 63372 1553 30 picture picture VB 63372 1553 31 a a DT 63372 1553 32 curved curved JJ 63372 1553 33 surface surface NN 63372 1553 34 easily easily RB 63372 1553 35 enough enough RB 63372 1553 36 , , , 63372 1553 37 we -PRON- PRP 63372 1553 38 ca can MD 63372 1553 39 n't not RB 63372 1553 40 picture picture VB 63372 1553 41 a a DT 63372 1553 42 curved curved JJ 63372 1553 43 three three CD 63372 1553 44 - - HYPH 63372 1553 45 space space NN 63372 1553 46 or or CC 63372 1553 47 four four CD 63372 1553 48 - - HYPH 63372 1553 49 space space NN 63372 1553 50 . . . 63372 1554 1 But but CC 63372 1554 2 that that DT 63372 1554 3 is be VBZ 63372 1554 4 a a DT 63372 1554 5 barrier barrier NN 63372 1554 6 to to TO 63372 1554 7 visualization visualization VB 63372 1554 8 alone alone RB 63372 1554 9 , , , 63372 1554 10 and and CC 63372 1554 11 in in IN 63372 1554 12 no no DT 63372 1554 13 sense sense NN 63372 1554 14 to to IN 63372 1554 15 understanding understanding NN 63372 1554 16 . . . 63372 1555 1 OUR our PRP$ 63372 1555 2 WORLD WORLD NNP 63372 1555 3 OF of IN 63372 1555 4 FOUR four CD 63372 1555 5 DIMENSIONS dimension NNS 63372 1555 6 It -PRON- PRP 63372 1555 7 will will MD 63372 1555 8 be be VB 63372 1555 9 observed observe VBN 63372 1555 10 that that IN 63372 1555 11 we -PRON- PRP 63372 1555 12 have have VBP 63372 1555 13 now now RB 63372 1555 14 a a DT 63372 1555 15 much much RB 63372 1555 16 broader broad JJR 63372 1555 17 definition definition NN 63372 1555 18 of of IN 63372 1555 19 non non JJ 63372 1555 20 - - NN 63372 1555 21 Euclideanism euclideanism NN 63372 1555 22 than than IN 63372 1555 23 the the DT 63372 1555 24 one one NN 63372 1555 25 which which WDT 63372 1555 26 served serve VBD 63372 1555 27 us -PRON- PRP 63372 1555 28 for for IN 63372 1555 29 the the DT 63372 1555 30 investigation investigation NN 63372 1555 31 of of IN 63372 1555 32 Euclid Euclid NNP 63372 1555 33 's 's POS 63372 1555 34 parallel parallel JJ 63372 1555 35 postulate postulate NN 63372 1555 36 . . . 63372 1556 1 If if IN 63372 1556 2 we -PRON- PRP 63372 1556 3 may may MD 63372 1556 4 at at IN 63372 1556 5 pleasure pleasure NN 63372 1556 6 accept accept VB 63372 1556 7 this this DT 63372 1556 8 postulate postulate NN 63372 1556 9 or or CC 63372 1556 10 replace replace VB 63372 1556 11 it -PRON- PRP 63372 1556 12 by by IN 63372 1556 13 another another DT 63372 1556 14 and and CC 63372 1556 15 different different JJ 63372 1556 16 one one NN 63372 1556 17 , , , 63372 1556 18 we -PRON- PRP 63372 1556 19 may may MD 63372 1556 20 presumably presumably RB 63372 1556 21 do do VB 63372 1556 22 the the DT 63372 1556 23 same same JJ 63372 1556 24 for for IN 63372 1556 25 any any DT 63372 1556 26 other other JJ 63372 1556 27 or or CC 63372 1556 28 any any DT 63372 1556 29 others other NNS 63372 1556 30 of of IN 63372 1556 31 Euclid Euclid NNP 63372 1556 32 's 's POS 63372 1556 33 postulates postulate NNS 63372 1556 34 . . . 63372 1557 1 The the DT 63372 1557 2 very very JJ 63372 1557 3 statement statement NN 63372 1557 4 that that IN 63372 1557 5 the the DT 63372 1557 6 distance distance NN 63372 1557 7 between between IN 63372 1557 8 elements element NNS 63372 1557 9 of of IN 63372 1557 10 the the DT 63372 1557 11 continuum continuum NN 63372 1557 12 shall shall MD 63372 1557 13 possess possess VB 63372 1557 14 significance significance NN 63372 1557 15 , , , 63372 1557 16 and and CC 63372 1557 17 shall shall MD 63372 1557 18 be be VB 63372 1557 19 measurable measurable JJ 63372 1557 20 by by IN 63372 1557 21 considering consider VBG 63372 1557 22 a a DT 63372 1557 23 path path NN 63372 1557 24 in in IN 63372 1557 25 the the DT 63372 1557 26 continuum continuum NN 63372 1557 27 which which WDT 63372 1557 28 involves involve VBZ 63372 1557 29 other other JJ 63372 1557 30 elements element NNS 63372 1557 31 , , , 63372 1557 32 is be VBZ 63372 1557 33 an an DT 63372 1557 34 assumption assumption NN 63372 1557 35 . . . 63372 1558 1 If if IN 63372 1558 2 we -PRON- PRP 63372 1558 3 discard discard VBP 63372 1558 4 it -PRON- PRP 63372 1558 5 altogether altogether RB 63372 1558 6 , , , 63372 1558 7 or or CC 63372 1558 8 replace replace VB 63372 1558 9 it -PRON- PRP 63372 1558 10 by by IN 63372 1558 11 one one CD 63372 1558 12 postulating postulate VBG 63372 1558 13 that that IN 63372 1558 14 some some DT 63372 1558 15 other other JJ 63372 1558 16 joint joint JJ 63372 1558 17 property property NN 63372 1558 18 of of IN 63372 1558 19 the the DT 63372 1558 20 elements element NNS 63372 1558 21 than than IN 63372 1558 22 their -PRON- PRP$ 63372 1558 23 distance distance NN 63372 1558 24 be be VB 63372 1558 25 the the DT 63372 1558 26 center center NN 63372 1558 27 of of IN 63372 1558 28 interest interest NN 63372 1558 29 , , , 63372 1558 30 we -PRON- PRP 63372 1558 31 get get VBP 63372 1558 32 a a DT 63372 1558 33 non non JJ 63372 1558 34 - - JJ 63372 1558 35 Euclidean euclidean JJ 63372 1558 36 geometry geometry NN 63372 1558 37 . . . 63372 1559 1 So so RB 63372 1559 2 for for IN 63372 1559 3 any any DT 63372 1559 4 other other JJ 63372 1559 5 of of IN 63372 1559 6 Euclid Euclid NNP 63372 1559 7 's 's POS 63372 1559 8 postulates postulate NNS 63372 1559 9 ; ; : 63372 1559 10 they -PRON- PRP 63372 1559 11 are be VBP 63372 1559 12 all all RB 63372 1559 13 necessary necessary JJ 63372 1559 14 for for IN 63372 1559 15 a a DT 63372 1559 16 Euclidean euclidean JJ 63372 1559 17 system system NN 63372 1559 18 , , , 63372 1559 19 and and CC 63372 1559 20 in in IN 63372 1559 21 the the DT 63372 1559 22 absence absence NN 63372 1559 23 of of IN 63372 1559 24 any any DT 63372 1559 25 one one CD 63372 1559 26 of of IN 63372 1559 27 them -PRON- PRP 63372 1559 28 we -PRON- PRP 63372 1559 29 get get VBP 63372 1559 30 a a DT 63372 1559 31 non non JJ 63372 1559 32 - - JJ 63372 1559 33 Euclidean euclidean JJ 63372 1559 34 system system NN 63372 1559 35 . . . 63372 1560 1 Now now RB 63372 1560 2 the the DT 63372 1560 3 four four CD 63372 1560 4 - - HYPH 63372 1560 5 dimensional dimensional JJ 63372 1560 6 time time NN 63372 1560 7 - - HYPH 63372 1560 8 space space NN 63372 1560 9 continuum continuum NN 63372 1560 10 of of IN 63372 1560 11 Minkowski Minkowski NNP 63372 1560 12 is be VBZ 63372 1560 13 plainly plainly RB 63372 1560 14 of of IN 63372 1560 15 a a DT 63372 1560 16 sort sort NN 63372 1560 17 which which WDT 63372 1560 18 ought ought MD 63372 1560 19 to to TO 63372 1560 20 make make VB 63372 1560 21 susceptible susceptible JJ 63372 1560 22 of of IN 63372 1560 23 measurement measurement NN 63372 1560 24 the the DT 63372 1560 25 separation separation NN 63372 1560 26 between between IN 63372 1560 27 two two CD 63372 1560 28 of of IN 63372 1560 29 its -PRON- PRP$ 63372 1560 30 events event NNS 63372 1560 31 . . . 63372 1561 1 We -PRON- PRP 63372 1561 2 can can MD 63372 1561 3 pass pass VB 63372 1561 4 from from IN 63372 1561 5 one one CD 63372 1561 6 element element NN 63372 1561 7 to to IN 63372 1561 8 another another DT 63372 1561 9 in in IN 63372 1561 10 this this DT 63372 1561 11 continuum continuum NN 63372 1561 12 -- -- : 63372 1561 13 from from IN 63372 1561 14 one one CD 63372 1561 15 event event NN 63372 1561 16 to to IN 63372 1561 17 another another DT 63372 1561 18 -- -- : 63372 1561 19 by by IN 63372 1561 20 traversing traverse VBG 63372 1561 21 a a DT 63372 1561 22 path path NN 63372 1561 23 involving involve VBG 63372 1561 24 " " `` 63372 1561 25 successive successive JJ 63372 1561 26 " " '' 63372 1561 27 events event NNS 63372 1561 28 . . . 63372 1562 1 Our -PRON- PRP$ 63372 1562 2 very very JJ 63372 1562 3 lives life NNS 63372 1562 4 consist consist VBP 63372 1562 5 in in IN 63372 1562 6 doing do VBG 63372 1562 7 just just RB 63372 1562 8 this this DT 63372 1562 9 : : : 63372 1562 10 we -PRON- PRP 63372 1562 11 pass pass VBP 63372 1562 12 from from IN 63372 1562 13 the the DT 63372 1562 14 initial initial JJ 63372 1562 15 event event NN 63372 1562 16 of of IN 63372 1562 17 our -PRON- PRP$ 63372 1562 18 career career NN 63372 1562 19 to to IN 63372 1562 20 the the DT 63372 1562 21 final final JJ 63372 1562 22 event event NN 63372 1562 23 by by IN 63372 1562 24 traversing traverse VBG 63372 1562 25 a a DT 63372 1562 26 path path NN 63372 1562 27 leading lead VBG 63372 1562 28 us -PRON- PRP 63372 1562 29 from from IN 63372 1562 30 event event NN 63372 1562 31 to to IN 63372 1562 32 event event NN 63372 1562 33 , , , 63372 1562 34 changing change VBG 63372 1562 35 our -PRON- PRP$ 63372 1562 36 time time NN 63372 1562 37 and and CC 63372 1562 38 space space NN 63372 1562 39 coordinates coordinate NNS 63372 1562 40 continuously continuously RB 63372 1562 41 and and CC 63372 1562 42 simultaneously simultaneously RB 63372 1562 43 in in IN 63372 1562 44 the the DT 63372 1562 45 process process NN 63372 1562 46 . . . 63372 1563 1 And and CC 63372 1563 2 while while IN 63372 1563 3 we -PRON- PRP 63372 1563 4 have have VBP 63372 1563 5 not not RB 63372 1563 6 been be VBN 63372 1563 7 in in IN 63372 1563 8 the the DT 63372 1563 9 habit habit NN 63372 1563 10 of of IN 63372 1563 11 measuring measure VBG 63372 1563 12 anything anything NN 63372 1563 13 except except IN 63372 1563 14 the the DT 63372 1563 15 space space NN 63372 1563 16 interval interval NN 63372 1563 17 between between IN 63372 1563 18 two two CD 63372 1563 19 events event NNS 63372 1563 20 and and CC 63372 1563 21 the the DT 63372 1563 22 time time NN 63372 1563 23 interval interval NN 63372 1563 24 between between IN 63372 1563 25 two two CD 63372 1563 26 events event NNS 63372 1563 27 , , , 63372 1563 28 separately separately RB 63372 1563 29 , , , 63372 1563 30 I -PRON- PRP 63372 1563 31 think think VBP 63372 1563 32 it -PRON- PRP 63372 1563 33 is be VBZ 63372 1563 34 clear clear JJ 63372 1563 35 enough enough RB 63372 1563 36 that that DT 63372 1563 37 , , , 63372 1563 38 considered consider VBN 63372 1563 39 as as IN 63372 1563 40 events event NNS 63372 1563 41 , , , 63372 1563 42 as as IN 63372 1563 43 elements element NNS 63372 1563 44 in in IN 63372 1563 45 the the DT 63372 1563 46 world world NN 63372 1563 47 of of IN 63372 1563 48 four four CD 63372 1563 49 dimensions dimension NNS 63372 1563 50 , , , 63372 1563 51 there there EX 63372 1563 52 is be VBZ 63372 1563 53 a a DT 63372 1563 54 less less JJR 63372 1563 55 separation separation NN 63372 1563 56 between between IN 63372 1563 57 two two CD 63372 1563 58 events event NNS 63372 1563 59 that that WDT 63372 1563 60 occur occur VBP 63372 1563 61 in in IN 63372 1563 62 my -PRON- PRP$ 63372 1563 63 office office NN 63372 1563 64 on on IN 63372 1563 65 the the DT 63372 1563 66 same same JJ 63372 1563 67 day day NN 63372 1563 68 than than IN 63372 1563 69 between between IN 63372 1563 70 two two CD 63372 1563 71 which which WDT 63372 1563 72 occur occur VBP 63372 1563 73 in in IN 63372 1563 74 my -PRON- PRP$ 63372 1563 75 office office NN 63372 1563 76 a a DT 63372 1563 77 year year NN 63372 1563 78 apart apart RB 63372 1563 79 ; ; : 63372 1563 80 or or CC 63372 1563 81 between between IN 63372 1563 82 two two CD 63372 1563 83 events event NNS 63372 1563 84 occurring occur VBG 63372 1563 85 10 10 CD 63372 1563 86 minutes minute NNS 63372 1563 87 apart apart RB 63372 1563 88 when when WRB 63372 1563 89 both both DT 63372 1563 90 take take VBP 63372 1563 91 place place NN 63372 1563 92 in in IN 63372 1563 93 my -PRON- PRP$ 63372 1563 94 office office NN 63372 1563 95 than than IN 63372 1563 96 when when WRB 63372 1563 97 one one PRP 63372 1563 98 takes take VBZ 63372 1563 99 place place NN 63372 1563 100 there there RB 63372 1563 101 and and CC 63372 1563 102 one one CD 63372 1563 103 in in IN 63372 1563 104 London London NNP 63372 1563 105 or or CC 63372 1563 106 on on IN 63372 1563 107 Betelgeuse Betelgeuse NNP 63372 1563 108 . . . 63372 1564 1 It -PRON- PRP 63372 1564 2 is be VBZ 63372 1564 3 not not RB 63372 1564 4 at at RB 63372 1564 5 all all RB 63372 1564 6 unreasonable unreasonable JJ 63372 1564 7 , , , 63372 1564 8 a a FW 63372 1564 9 priori priori FW 63372 1564 10 , , , 63372 1564 11 then then RB 63372 1564 12 , , , 63372 1564 13 to to TO 63372 1564 14 seek seek VB 63372 1564 15 a a DT 63372 1564 16 numerical numerical JJ 63372 1564 17 measure measure NN 63372 1564 18 for for IN 63372 1564 19 the the DT 63372 1564 20 separation separation NN 63372 1564 21 , , , 63372 1564 22 in in IN 63372 1564 23 space space NN 63372 1564 24 - - HYPH 63372 1564 25 time time NN 63372 1564 26 of of IN 63372 1564 27 four four CD 63372 1564 28 - - HYPH 63372 1564 29 dimensions dimension NNS 63372 1564 30 , , , 63372 1564 31 of of IN 63372 1564 32 two two CD 63372 1564 33 events event NNS 63372 1564 34 . . . 63372 1565 1 If if IN 63372 1565 2 we -PRON- PRP 63372 1565 3 find find VBP 63372 1565 4 it -PRON- PRP 63372 1565 5 , , , 63372 1565 6 we -PRON- PRP 63372 1565 7 shall shall MD 63372 1565 8 doubtless doubtless RB 63372 1565 9 be be VB 63372 1565 10 asked ask VBN 63372 1565 11 just just RB 63372 1565 12 what what WP 63372 1565 13 its -PRON- PRP$ 63372 1565 14 subjective subjective JJ 63372 1565 15 significance significance NN 63372 1565 16 to to IN 63372 1565 17 us -PRON- PRP 63372 1565 18 is be VBZ 63372 1565 19 . . . 63372 1566 1 This this DT 63372 1566 2 must must MD 63372 1566 3 be be VB 63372 1566 4 answered answer VBN 63372 1566 5 with with IN 63372 1566 6 some some DT 63372 1566 7 circumspection circumspection NN 63372 1566 8 . . . 63372 1567 1 It -PRON- PRP 63372 1567 2 will will MD 63372 1567 3 presumably presumably RB 63372 1567 4 be be VB 63372 1567 5 something something NN 63372 1567 6 which which WDT 63372 1567 7 we -PRON- PRP 63372 1567 8 can can MD 63372 1567 9 not not RB 63372 1567 10 observe observe VB 63372 1567 11 with with IN 63372 1567 12 the the DT 63372 1567 13 visual visual JJ 63372 1567 14 sense sense NN 63372 1567 15 alone alone RB 63372 1567 16 , , , 63372 1567 17 or or CC 63372 1567 18 it -PRON- PRP 63372 1567 19 would would MD 63372 1567 20 have have VB 63372 1567 21 forced force VBN 63372 1567 22 itself -PRON- PRP 63372 1567 23 upon upon IN 63372 1567 24 our -PRON- PRP$ 63372 1567 25 attention attention NN 63372 1567 26 thousands thousand NNS 63372 1567 27 of of IN 63372 1567 28 years year NNS 63372 1567 29 ago ago RB 63372 1567 30 . . . 63372 1568 1 It -PRON- PRP 63372 1568 2 ought ought MD 63372 1568 3 , , , 63372 1568 4 I -PRON- PRP 63372 1568 5 should should MD 63372 1568 6 think think VB 63372 1568 7 , , , 63372 1568 8 to to TO 63372 1568 9 be be VB 63372 1568 10 something something NN 63372 1568 11 that that WDT 63372 1568 12 we -PRON- PRP 63372 1568 13 would would MD 63372 1568 14 sense sense VB 63372 1568 15 by by IN 63372 1568 16 employing employ VBG 63372 1568 17 at at IN 63372 1568 18 the the DT 63372 1568 19 same same JJ 63372 1568 20 time time NN 63372 1568 21 the the DT 63372 1568 22 visual visual JJ 63372 1568 23 sense sense NN 63372 1568 24 and and CC 63372 1568 25 the the DT 63372 1568 26 sense sense NN 63372 1568 27 of of IN 63372 1568 28 time time NN 63372 1568 29 - - HYPH 63372 1568 30 passage passage NN 63372 1568 31 . . . 63372 1569 1 In in IN 63372 1569 2 fact fact NN 63372 1569 3 , , , 63372 1569 4 I -PRON- PRP 63372 1569 5 might may MD 63372 1569 6 very very RB 63372 1569 7 plausibly plausibly RB 63372 1569 8 insist insist VB 63372 1569 9 that that IN 63372 1569 10 , , , 63372 1569 11 by by IN 63372 1569 12 my -PRON- PRP$ 63372 1569 13 very very JJ 63372 1569 14 remarks remark NNS 63372 1569 15 about about IN 63372 1569 16 it -PRON- PRP 63372 1569 17 in in IN 63372 1569 18 the the DT 63372 1569 19 above above JJ 63372 1569 20 paragraph paragraph NN 63372 1569 21 , , , 63372 1569 22 I -PRON- PRP 63372 1569 23 have have VBP 63372 1569 24 sensed sense VBN 63372 1569 25 it -PRON- PRP 63372 1569 26 . . . 63372 1570 1 Minkowski Minkowski NNP 63372 1570 2 , , , 63372 1570 3 however however RB 63372 1570 4 , , , 63372 1570 5 was be VBD 63372 1570 6 not not RB 63372 1570 7 worried worried JJ 63372 1570 8 about about IN 63372 1570 9 this this DT 63372 1570 10 phase phase NN 63372 1570 11 of of IN 63372 1570 12 the the DT 63372 1570 13 matter matter NN 63372 1570 14 . . . 63372 1571 1 He -PRON- PRP 63372 1571 2 had have VBD 63372 1571 3 only only RB 63372 1571 4 to to TO 63372 1571 5 identify identify VB 63372 1571 6 the the DT 63372 1571 7 invariant invariant JJ 63372 1571 8 expression expression NN 63372 1571 9 for for IN 63372 1571 10 distance distance NN 63372 1571 11 ; ; : 63372 1571 12 sensing sense VBG 63372 1571 13 it -PRON- PRP 63372 1571 14 could could MD 63372 1571 15 wait wait VB 63372 1571 16 . . . 63372 1572 1 He -PRON- PRP 63372 1572 2 found find VBD 63372 1572 3 , , , 63372 1572 4 of of IN 63372 1572 5 course course NN 63372 1572 6 , , , 63372 1572 7 that that IN 63372 1572 8 this this DT 63372 1572 9 expression expression NN 63372 1572 10 was be VBD 63372 1572 11 not not RB 63372 1572 12 the the DT 63372 1572 13 Euclidean euclidean JJ 63372 1572 14 expression expression NN 63372 1572 15 for for IN 63372 1572 16 a a DT 63372 1572 17 four four CD 63372 1572 18 - - HYPH 63372 1572 19 dimensional dimensional JJ 63372 1572 20 interval interval NN 63372 1572 21 . . . 63372 1573 1 He -PRON- PRP 63372 1573 2 had have VBD 63372 1573 3 discarded discard VBN 63372 1573 4 several several JJ 63372 1573 5 of of IN 63372 1573 6 the the DT 63372 1573 7 Euclidean euclidean JJ 63372 1573 8 assumptions assumption NNS 63372 1573 9 and and CC 63372 1573 10 could could MD 63372 1573 11 not not RB 63372 1573 12 expect expect VB 63372 1573 13 that that IN 63372 1573 14 the the DT 63372 1573 15 postulate postulate NN 63372 1573 16 governing govern VBG 63372 1573 17 the the DT 63372 1573 18 metric metric JJ 63372 1573 19 properties property NNS 63372 1573 20 of of IN 63372 1573 21 Euclid Euclid NNP 63372 1573 22 's 's POS 63372 1573 23 space space NN 63372 1573 24 would would MD 63372 1573 25 persist persist VB 63372 1573 26 . . . 63372 1574 1 Especially especially RB 63372 1574 2 had have VBD 63372 1574 3 he -PRON- PRP 63372 1574 4 violated violate VBN 63372 1574 5 the the DT 63372 1574 6 Euclidean euclidean JJ 63372 1574 7 canons canon NNS 63372 1574 8 in in IN 63372 1574 9 discarding discarding NN 63372 1574 10 , , , 63372 1574 11 with with IN 63372 1574 12 Einstein Einstein NNP 63372 1574 13 , , , 63372 1574 14 the the DT 63372 1574 15 notion notion NN 63372 1574 16 that that IN 63372 1574 17 nothing nothing NN 63372 1574 18 which which WDT 63372 1574 19 may may MD 63372 1574 20 happen happen VB 63372 1574 21 to to IN 63372 1574 22 a a DT 63372 1574 23 measuring measuring NN 63372 1574 24 rod rod NN 63372 1574 25 in in IN 63372 1574 26 the the DT 63372 1574 27 way way NN 63372 1574 28 of of IN 63372 1574 29 uniform uniform JJ 63372 1574 30 translation translation NN 63372 1574 31 at at IN 63372 1574 32 high high JJ 63372 1574 33 velocity velocity NN 63372 1574 34 can can MD 63372 1574 35 affect affect VB 63372 1574 36 its -PRON- PRP$ 63372 1574 37 measures measure NNS 63372 1574 38 . . . 63372 1575 1 So so RB 63372 1575 2 he -PRON- PRP 63372 1575 3 had have VBD 63372 1575 4 to to TO 63372 1575 5 be be VB 63372 1575 6 prepared prepared JJ 63372 1575 7 to to TO 63372 1575 8 find find VB 63372 1575 9 that that IN 63372 1575 10 his -PRON- PRP$ 63372 1575 11 geometry geometry NN 63372 1575 12 was be VBD 63372 1575 13 non non JJ 63372 1575 14 - - JJ 63372 1575 15 Euclidean euclidean JJ 63372 1575 16 ; ; : 63372 1575 17 yet yet CC 63372 1575 18 it -PRON- PRP 63372 1575 19 is be VBZ 63372 1575 20 surprising surprising JJ 63372 1575 21 to to TO 63372 1575 22 learn learn VB 63372 1575 23 how how WRB 63372 1575 24 slightly slightly RB 63372 1575 25 it -PRON- PRP 63372 1575 26 deviates deviate VBZ 63372 1575 27 from from IN 63372 1575 28 that that DT 63372 1575 29 of of IN 63372 1575 30 Euclid Euclid NNP 63372 1575 31 . . . 63372 1576 1 Without without IN 63372 1576 2 any any DT 63372 1576 3 extended extend VBN 63372 1576 4 discussion discussion NN 63372 1576 5 to to TO 63372 1576 6 support support VB 63372 1576 7 the the DT 63372 1576 8 statement statement NN 63372 1576 9 , , , 63372 1576 10 we -PRON- PRP 63372 1576 11 may may MD 63372 1576 12 say say VB 63372 1576 13 that that IN 63372 1576 14 he -PRON- PRP 63372 1576 15 found find VBD 63372 1576 16 that that IN 63372 1576 17 when when WRB 63372 1576 18 two two CD 63372 1576 19 observers observer NNS 63372 1576 20 measure measure VBP 63372 1576 21 the the DT 63372 1576 22 time- time- NN 63372 1576 23 and and CC 63372 1576 24 the the DT 63372 1576 25 space space NN 63372 1576 26 - - HYPH 63372 1576 27 coordinates coordinate NNS 63372 1576 28 of of IN 63372 1576 29 two two CD 63372 1576 30 events event NNS 63372 1576 31 , , , 63372 1576 32 using use VBG 63372 1576 33 the the DT 63372 1576 34 assumptions assumption NNS 63372 1576 35 and and CC 63372 1576 36 therefore therefore RB 63372 1576 37 the the DT 63372 1576 38 methods method NNS 63372 1576 39 of of IN 63372 1576 40 Einstein Einstein NNP 63372 1576 41 and and CC 63372 1576 42 hence hence RB 63372 1576 43 subjecting subject VBG 63372 1576 44 themselves -PRON- PRP 63372 1576 45 to to IN 63372 1576 46 the the DT 63372 1576 47 condition condition NN 63372 1576 48 that that IN 63372 1576 49 their -PRON- PRP$ 63372 1576 50 measures measure NNS 63372 1576 51 of of IN 63372 1576 52 the the DT 63372 1576 53 pure pure JJ 63372 1576 54 time time NN 63372 1576 55 - - HYPH 63372 1576 56 interval interval NN 63372 1576 57 and and CC 63372 1576 58 of of IN 63372 1576 59 the the DT 63372 1576 60 pure pure JJ 63372 1576 61 space space NN 63372 1576 62 - - HYPH 63372 1576 63 interval interval NN 63372 1576 64 between between IN 63372 1576 65 these these DT 63372 1576 66 events event NNS 63372 1576 67 will will MD 63372 1576 68 not not RB 63372 1576 69 necessarily necessarily RB 63372 1576 70 be be VB 63372 1576 71 the the DT 63372 1576 72 same same JJ 63372 1576 73 , , , 63372 1576 74 they -PRON- PRP 63372 1576 75 will will MD 63372 1576 76 discover discover VB 63372 1576 77 that that IN 63372 1576 78 they -PRON- PRP 63372 1576 79 both both DT 63372 1576 80 get get VBP 63372 1576 81 the the DT 63372 1576 82 same same JJ 63372 1576 83 value value NN 63372 1576 84 for for IN 63372 1576 85 the the DT 63372 1576 86 expression expression NN 63372 1576 87 $ $ $ 63372 1576 88 $ $ $ 63372 1576 89 S s NN 63372 1576 90 = = SYM 63372 1576 91 \sqrt{(X \sqrt{(X NNP 63372 1576 92 - - HYPH 63372 1576 93 x)^2 x)^2 NNP 63372 1576 94 + + NFP 63372 1576 95 ( ( -LRB- 63372 1576 96 Y Y NNP 63372 1576 97 - - HYPH 63372 1576 98 y)^2 y)^2 NNP 63372 1576 99 + + CC 63372 1576 100 ( ( -LRB- 63372 1576 101 Z Z NNP 63372 1576 102 - - HYPH 63372 1576 103 z)^2 z)^2 FW 63372 1576 104 - - HYPH 63372 1576 105 ( ( -LRB- 63372 1576 106 CT CT NNP 63372 1576 107 - - HYPH 63372 1576 108 Ct)^2}\,.$$ Ct)^2}\,.$$ NNP 63372 1576 109 If if IN 63372 1576 110 our -PRON- PRP$ 63372 1576 111 acceptance acceptance NN 63372 1576 112 of of IN 63372 1576 113 this this DT 63372 1576 114 as as IN 63372 1576 115 the the DT 63372 1576 116 numerical numerical JJ 63372 1576 117 measure measure NN 63372 1576 118 of of IN 63372 1576 119 the the DT 63372 1576 120 separation separation NN 63372 1576 121 in in IN 63372 1576 122 space space NN 63372 1576 123 - - HYPH 63372 1576 124 time time NN 63372 1576 125 between between IN 63372 1576 126 the the DT 63372 1576 127 two two CD 63372 1576 128 events event NNS 63372 1576 129 should should MD 63372 1576 130 lead lead VB 63372 1576 131 to to IN 63372 1576 132 contradiction contradiction NN 63372 1576 133 we -PRON- PRP 63372 1576 134 could could MD 63372 1576 135 not not RB 63372 1576 136 so so RB 63372 1576 137 accept accept VB 63372 1576 138 it -PRON- PRP 63372 1576 139 . . . 63372 1577 1 No no DT 63372 1577 2 contradiction contradiction NN 63372 1577 3 arises arise VBZ 63372 1577 4 however however RB 63372 1577 5 and and CC 63372 1577 6 we -PRON- PRP 63372 1577 7 may may MD 63372 1577 8 therefore therefore RB 63372 1577 9 accept accept VB 63372 1577 10 it -PRON- PRP 63372 1577 11 . . . 63372 1578 1 And and CC 63372 1578 2 at at IN 63372 1578 3 once once RB 63372 1578 4 the the DT 63372 1578 5 mathematician mathematician NN 63372 1578 6 is be VBZ 63372 1578 7 ready ready JJ 63372 1578 8 with with IN 63372 1578 9 some some DT 63372 1578 10 interpretative interpretative JJ 63372 1578 11 remarks remark NNS 63372 1578 12 . . . 63372 1579 1 THE the DT 63372 1579 2 CURVATURE CURVATURE NNP 63372 1579 3 OF of IN 63372 1579 4 SPACE SPACE NNP 63372 1579 5 - - HYPH 63372 1579 6 TIME TIME NNP 63372 1579 7 The the DT 63372 1579 8 invariant invariant JJ 63372 1579 9 expression expression NN 63372 1579 10 for for IN 63372 1579 11 separation separation NN 63372 1579 12 , , , 63372 1579 13 it -PRON- PRP 63372 1579 14 will will MD 63372 1579 15 be be VB 63372 1579 16 seen see VBN 63372 1579 17 , , , 63372 1579 18 is be VBZ 63372 1579 19 in in IN 63372 1579 20 the the DT 63372 1579 21 same same JJ 63372 1579 22 form form NN 63372 1579 23 as as IN 63372 1579 24 that that DT 63372 1579 25 of of IN 63372 1579 26 the the DT 63372 1579 27 Euclidean Euclidean NNP 63372 1579 28 four four CD 63372 1579 29 - - HYPH 63372 1579 30 dimensional dimensional JJ 63372 1579 31 invariant invariant NN 63372 1579 32 save save NN 63372 1579 33 for for IN 63372 1579 34 the the DT 63372 1579 35 minus minus NN 63372 1579 36 sign sign NN 63372 1579 37 before before IN 63372 1579 38 the the DT 63372 1579 39 time time NN 63372 1579 40 - - HYPH 63372 1579 41 difference difference NN 63372 1579 42 ( ( -LRB- 63372 1579 43 the the DT 63372 1579 44 appearance appearance NN 63372 1579 45 of of IN 63372 1579 46 the the DT 63372 1579 47 constant constant JJ 63372 1579 48 $ $ $ 63372 1579 49 C$ c$ $ 63372 1579 50 in in IN 63372 1579 51 connection connection NN 63372 1579 52 with with IN 63372 1579 53 the the DT 63372 1579 54 time time NN 63372 1579 55 coordinate coordinate VB 63372 1579 56 $ $ $ 63372 1579 57 t$ t$ NNP 63372 1579 58 is be VBZ 63372 1579 59 merely merely RB 63372 1579 60 an an DT 63372 1579 61 adjustment adjustment NN 63372 1579 62 of of IN 63372 1579 63 units unit NNS 63372 1579 64 ; ; : 63372 1579 65 see see VB 63372 1579 66 page page NN 63372 1579 67 153 153 CD 63372 1579 68 ) ) -RRB- 63372 1579 69 . . . 63372 1580 1 This this DT 63372 1580 2 tells tell VBZ 63372 1580 3 us -PRON- PRP 63372 1580 4 that that IN 63372 1580 5 not not RB 63372 1580 6 alone alone JJ 63372 1580 7 is be VBZ 63372 1580 8 the the DT 63372 1580 9 geometry geometry NN 63372 1580 10 of of IN 63372 1580 11 the the DT 63372 1580 12 time time NN 63372 1580 13 - - HYPH 63372 1580 14 space space NN 63372 1580 15 continuum continuum JJ 63372 1580 16 non non JJ 63372 1580 17 - - JJ 63372 1580 18 Euclidean euclidean JJ 63372 1580 19 in in IN 63372 1580 20 its -PRON- PRP$ 63372 1580 21 methods method NNS 63372 1580 22 of of IN 63372 1580 23 measurement measurement NN 63372 1580 24 , , , 63372 1580 25 but but CC 63372 1580 26 also also RB 63372 1580 27 in in IN 63372 1580 28 its -PRON- PRP$ 63372 1580 29 results result NNS 63372 1580 30 , , , 63372 1580 31 to to IN 63372 1580 32 the the DT 63372 1580 33 extent extent NN 63372 1580 34 that that WDT 63372 1580 35 it -PRON- PRP 63372 1580 36 possesses possess VBZ 63372 1580 37 a a DT 63372 1580 38 curvature curvature NN 63372 1580 39 . . . 63372 1581 1 It -PRON- PRP 63372 1581 2 compares compare VBZ 63372 1581 3 with with IN 63372 1581 4 the the DT 63372 1581 5 Euclidean Euclidean NNP 63372 1581 6 four four CD 63372 1581 7 - - HYPH 63372 1581 8 dimensional dimensional JJ 63372 1581 9 continuum continuum NN 63372 1581 10 in in IN 63372 1581 11 much much RB 63372 1581 12 the the DT 63372 1581 13 same same JJ 63372 1581 14 way way NN 63372 1581 15 that that WDT 63372 1581 16 a a DT 63372 1581 17 spherical spherical JJ 63372 1581 18 surface surface NN 63372 1581 19 compares compare VBZ 63372 1581 20 with with IN 63372 1581 21 a a DT 63372 1581 22 plane plane NN 63372 1581 23 . . . 63372 1582 1 As as IN 63372 1582 2 a a DT 63372 1582 3 matter matter NN 63372 1582 4 of of IN 63372 1582 5 fact fact NN 63372 1582 6 , , , 63372 1582 7 a a DT 63372 1582 8 more more RBR 63372 1582 9 illuminating illuminating NN 63372 1582 10 analogy analogy NN 63372 1582 11 here here RB 63372 1582 12 would would MD 63372 1582 13 be be VB 63372 1582 14 that that IN 63372 1582 15 between between IN 63372 1582 16 the the DT 63372 1582 17 cylindrical cylindrical JJ 63372 1582 18 surface surface NN 63372 1582 19 and and CC 63372 1582 20 the the DT 63372 1582 21 plane plane NN 63372 1582 22 , , , 63372 1582 23 though though IN 63372 1582 24 neither neither DT 63372 1582 25 is be VBZ 63372 1582 26 quite quite RB 63372 1582 27 exact exact JJ 63372 1582 28 . . . 63372 1583 1 To to TO 63372 1583 2 make make VB 63372 1583 3 this this DT 63372 1583 4 clear clear JJ 63372 1583 5 requires require VBZ 63372 1583 6 a a DT 63372 1583 7 little little JJ 63372 1583 8 discussion discussion NN 63372 1583 9 of of IN 63372 1583 10 an an DT 63372 1583 11 elementary elementary JJ 63372 1583 12 notion notion NN 63372 1583 13 which which WDT 63372 1583 14 we -PRON- PRP 63372 1583 15 have have VBP 63372 1583 16 not not RB 63372 1583 17 yet yet RB 63372 1583 18 had have VBN 63372 1583 19 to to TO 63372 1583 20 consider consider VB 63372 1583 21 . . . 63372 1584 1 Our -PRON- PRP$ 63372 1584 2 three three CD 63372 1584 3 - - HYPH 63372 1584 4 dimensional dimensional JJ 63372 1584 5 existence existence NN 63372 1584 6 often often RB 63372 1584 7 reduces reduce VBZ 63372 1584 8 , , , 63372 1584 9 for for IN 63372 1584 10 all all DT 63372 1584 11 practical practical JJ 63372 1584 12 purposes purpose NNS 63372 1584 13 , , , 63372 1584 14 to to IN 63372 1584 15 a a DT 63372 1584 16 two two CD 63372 1584 17 - - HYPH 63372 1584 18 dimensional dimensional JJ 63372 1584 19 one one NN 63372 1584 20 . . . 63372 1585 1 The the DT 63372 1585 2 objects object NNS 63372 1585 3 and and CC 63372 1585 4 the the DT 63372 1585 5 events event NNS 63372 1585 6 of of IN 63372 1585 7 a a DT 63372 1585 8 certain certain JJ 63372 1585 9 room room NN 63372 1585 10 may may MD 63372 1585 11 quite quite RB 63372 1585 12 satisfactorily satisfactorily RB 63372 1585 13 be be VB 63372 1585 14 defined define VBN 63372 1585 15 by by IN 63372 1585 16 thinking think VBG 63372 1585 17 of of IN 63372 1585 18 them -PRON- PRP 63372 1585 19 , , , 63372 1585 20 not not RB 63372 1585 21 as as RB 63372 1585 22 located locate VBN 63372 1585 23 in in IN 63372 1585 24 space space NN 63372 1585 25 , , , 63372 1585 26 but but CC 63372 1585 27 as as IN 63372 1585 28 lying lie VBG 63372 1585 29 in in IN 63372 1585 30 the the DT 63372 1585 31 floor floor NN 63372 1585 32 of of IN 63372 1585 33 the the DT 63372 1585 34 room room NN 63372 1585 35 . . . 63372 1586 1 Mathematically mathematically RB 63372 1586 2 the the DT 63372 1586 3 justification justification NN 63372 1586 4 for for IN 63372 1586 5 this this DT 63372 1586 6 viewpoint viewpoint NN 63372 1586 7 is be VBZ 63372 1586 8 got get VBN 63372 1586 9 by by IN 63372 1586 10 saying say VBG 63372 1586 11 that that IN 63372 1586 12 we -PRON- PRP 63372 1586 13 have have VBP 63372 1586 14 elected elect VBN 63372 1586 15 to to TO 63372 1586 16 consider consider VB 63372 1586 17 a a DT 63372 1586 18 slice slice NN 63372 1586 19 of of IN 63372 1586 20 our -PRON- PRP$ 63372 1586 21 three three CD 63372 1586 22 - - HYPH 63372 1586 23 dimensional dimensional JJ 63372 1586 24 world world NN 63372 1586 25 of of IN 63372 1586 26 the the DT 63372 1586 27 sort sort NN 63372 1586 28 which which WDT 63372 1586 29 we -PRON- PRP 63372 1586 30 know know VBP 63372 1586 31 as as IN 63372 1586 32 a a DT 63372 1586 33 plane plane NN 63372 1586 34 . . . 63372 1587 1 When when WRB 63372 1587 2 we -PRON- PRP 63372 1587 3 consider consider VBP 63372 1587 4 this this DT 63372 1587 5 plane plane NN 63372 1587 6 and and CC 63372 1587 7 the the DT 63372 1587 8 points point NNS 63372 1587 9 in in IN 63372 1587 10 it -PRON- PRP 63372 1587 11 , , , 63372 1587 12 we -PRON- PRP 63372 1587 13 find find VBP 63372 1587 14 that that IN 63372 1587 15 we -PRON- PRP 63372 1587 16 have have VBP 63372 1587 17 taken take VBN 63372 1587 18 a a DT 63372 1587 19 cross cross NN 63372 1587 20 - - NN 63372 1587 21 section section NN 63372 1587 22 of of IN 63372 1587 23 the the DT 63372 1587 24 three three CD 63372 1587 25 - - HYPH 63372 1587 26 dimensional dimensional JJ 63372 1587 27 world world NN 63372 1587 28 . . . 63372 1588 1 A a DT 63372 1588 2 line line NN 63372 1588 3 in in IN 63372 1588 4 that that DT 63372 1588 5 world world NN 63372 1588 6 is be VBZ 63372 1588 7 now now RB 63372 1588 8 reduced reduce VBN 63372 1588 9 , , , 63372 1588 10 for for IN 63372 1588 11 us -PRON- PRP 63372 1588 12 , , , 63372 1588 13 to to IN 63372 1588 14 a a DT 63372 1588 15 single single JJ 63372 1588 16 point point NN 63372 1588 17 -- -- : 63372 1588 18 the the DT 63372 1588 19 point point NN 63372 1588 20 where where WRB 63372 1588 21 it -PRON- PRP 63372 1588 22 cuts cut VBZ 63372 1588 23 our -PRON- PRP$ 63372 1588 24 plane plane NN 63372 1588 25 ; ; : 63372 1588 26 a a DT 63372 1588 27 plane plane NN 63372 1588 28 is be VBZ 63372 1588 29 reduced reduce VBN 63372 1588 30 to to IN 63372 1588 31 a a DT 63372 1588 32 line line NN 63372 1588 33 -- -- : 63372 1588 34 the the DT 63372 1588 35 line line NN 63372 1588 36 where where WRB 63372 1588 37 it -PRON- PRP 63372 1588 38 cuts cut VBZ 63372 1588 39 our -PRON- PRP$ 63372 1588 40 plane plane NN 63372 1588 41 ; ; : 63372 1588 42 the the DT 63372 1588 43 three three CD 63372 1588 44 - - HYPH 63372 1588 45 dimensional dimensional JJ 63372 1588 46 world world NN 63372 1588 47 itself -PRON- PRP 63372 1588 48 is be VBZ 63372 1588 49 reduced reduce VBN 63372 1588 50 to to IN 63372 1588 51 our -PRON- PRP$ 63372 1588 52 plane plane NN 63372 1588 53 itself -PRON- PRP 63372 1588 54 . . . 63372 1589 1 Everything everything NN 63372 1589 2 three three CD 63372 1589 3 - - HYPH 63372 1589 4 dimensional dimensional JJ 63372 1589 5 falls fall VBZ 63372 1589 6 down down RP 63372 1589 7 into into IN 63372 1589 8 its -PRON- PRP$ 63372 1589 9 shadow shadow NN 63372 1589 10 in in IN 63372 1589 11 our -PRON- PRP$ 63372 1589 12 plane plane NN 63372 1589 13 , , , 63372 1589 14 losing lose VBG 63372 1589 15 in in IN 63372 1589 16 the the DT 63372 1589 17 process process NN 63372 1589 18 that that WDT 63372 1589 19 one one CD 63372 1589 20 of of IN 63372 1589 21 the the DT 63372 1589 22 three three CD 63372 1589 23 dimensions dimension NNS 63372 1589 24 which which WDT 63372 1589 25 is be VBZ 63372 1589 26 not not RB 63372 1589 27 present present JJ 63372 1589 28 in in IN 63372 1589 29 our -PRON- PRP$ 63372 1589 30 plane plane NN 63372 1589 31 . . . 63372 1590 1 For for IN 63372 1590 2 simplicity simplicity NN 63372 1590 3 's 's POS 63372 1590 4 sake sake NN 63372 1590 5 it -PRON- PRP 63372 1590 6 is be VBZ 63372 1590 7 usual usual JJ 63372 1590 8 to to TO 63372 1590 9 take take VB 63372 1590 10 a a DT 63372 1590 11 cross cross JJ 63372 1590 12 - - NN 63372 1590 13 section section NN 63372 1590 14 of of IN 63372 1590 15 space space NN 63372 1590 16 parallel parallel NN 63372 1590 17 to to IN 63372 1590 18 one one CD 63372 1590 19 of of IN 63372 1590 20 our -PRON- PRP$ 63372 1590 21 coordinate coordinate JJ 63372 1590 22 axes axis NNS 63372 1590 23 . . . 63372 1591 1 We -PRON- PRP 63372 1591 2 think think VBP 63372 1591 3 of of IN 63372 1591 4 our -PRON- PRP$ 63372 1591 5 three three CD 63372 1591 6 dimensions dimension NNS 63372 1591 7 as as IN 63372 1591 8 extending extend VBG 63372 1591 9 in in IN 63372 1591 10 the the DT 63372 1591 11 directions direction NNS 63372 1591 12 of of IN 63372 1591 13 those those DT 63372 1591 14 axes axis NNS 63372 1591 15 ; ; : 63372 1591 16 and and CC 63372 1591 17 it -PRON- PRP 63372 1591 18 is be VBZ 63372 1591 19 easier easy JJR 63372 1591 20 to to TO 63372 1591 21 take take VB 63372 1591 22 a a DT 63372 1591 23 horizontal horizontal JJ 63372 1591 24 or or CC 63372 1591 25 vertical vertical JJ 63372 1591 26 section section NN 63372 1591 27 which which WDT 63372 1591 28 shall shall MD 63372 1591 29 simply simply RB 63372 1591 30 wipe wipe VB 63372 1591 31 out out RP 63372 1591 32 one one CD 63372 1591 33 of of IN 63372 1591 34 these these DT 63372 1591 35 dimensions dimension NNS 63372 1591 36 than than IN 63372 1591 37 to to TO 63372 1591 38 take take VB 63372 1591 39 an an DT 63372 1591 40 oblique oblique JJ 63372 1591 41 section section NN 63372 1591 42 which which WDT 63372 1591 43 shall shall MD 63372 1591 44 wipe wipe VB 63372 1591 45 out out RP 63372 1591 46 a a DT 63372 1591 47 dimension dimension NN 63372 1591 48 that that WDT 63372 1591 49 consists consist VBZ 63372 1591 50 partly partly RB 63372 1591 51 of of IN 63372 1591 52 our -PRON- PRP$ 63372 1591 53 original original JJ 63372 1591 54 length length NN 63372 1591 55 , , , 63372 1591 56 and and CC 63372 1591 57 partly partly RB 63372 1591 58 of of IN 63372 1591 59 our -PRON- PRP$ 63372 1591 60 original original JJ 63372 1591 61 width width NN 63372 1591 62 , , , 63372 1591 63 and and CC 63372 1591 64 partly partly RB 63372 1591 65 of of IN 63372 1591 66 our -PRON- PRP$ 63372 1591 67 original original JJ 63372 1591 68 height height NN 63372 1591 69 . . . 63372 1592 1 If if IN 63372 1592 2 we -PRON- PRP 63372 1592 3 have have VBP 63372 1592 4 a a DT 63372 1592 5 four four CD 63372 1592 6 - - HYPH 63372 1592 7 dimensional dimensional JJ 63372 1592 8 manifold manifold NN 63372 1592 9 to to TO 63372 1592 10 begin begin VB 63372 1592 11 with with IN 63372 1592 12 , , , 63372 1592 13 we -PRON- PRP 63372 1592 14 may may MD 63372 1592 15 equally equally RB 63372 1592 16 shake shake VB 63372 1592 17 out out RP 63372 1592 18 one one CD 63372 1592 19 of of IN 63372 1592 20 the the DT 63372 1592 21 four four CD 63372 1592 22 dimensions dimension NNS 63372 1592 23 , , , 63372 1592 24 one one CD 63372 1592 25 of of IN 63372 1592 26 the the DT 63372 1592 27 four four CD 63372 1592 28 coordinates coordinate NNS 63372 1592 29 , , , 63372 1592 30 and and CC 63372 1592 31 consider consider VB 63372 1592 32 the the DT 63372 1592 33 three three CD 63372 1592 34 - - HYPH 63372 1592 35 dimensional dimensional JJ 63372 1592 36 result result NN 63372 1592 37 of of IN 63372 1592 38 this this DT 63372 1592 39 process process NN 63372 1592 40 as as IN 63372 1592 41 a a DT 63372 1592 42 cross cross NN 63372 1592 43 - - NN 63372 1592 44 section section NN 63372 1592 45 of of IN 63372 1592 46 the the DT 63372 1592 47 original original JJ 63372 1592 48 four four CD 63372 1592 49 - - HYPH 63372 1592 50 dimensional dimensional JJ 63372 1592 51 continuum continuum NN 63372 1592 52 . . . 63372 1593 1 And and CC 63372 1593 2 where where WRB 63372 1593 3 , , , 63372 1593 4 in in IN 63372 1593 5 cross cross NN 63372 1593 6 - - JJ 63372 1593 7 sectioning section VBG 63372 1593 8 a a DT 63372 1593 9 three three CD 63372 1593 10 - - HYPH 63372 1593 11 dimensioned dimension VBN 63372 1593 12 world world NN 63372 1593 13 , , , 63372 1593 14 we -PRON- PRP 63372 1593 15 have have VBP 63372 1593 16 but but CC 63372 1593 17 three three CD 63372 1593 18 choices choice NNS 63372 1593 19 of of IN 63372 1593 20 a a DT 63372 1593 21 coordinate coordinate NN 63372 1593 22 to to TO 63372 1593 23 eliminate eliminate VB 63372 1593 24 , , , 63372 1593 25 in in IN 63372 1593 26 cross cross NN 63372 1593 27 - - JJ 63372 1593 28 sectioning section VBG 63372 1593 29 a a DT 63372 1593 30 world world NN 63372 1593 31 of of IN 63372 1593 32 four four CD 63372 1593 33 dimensions dimension NNS 63372 1593 34 we -PRON- PRP 63372 1593 35 have have VBP 63372 1593 36 four four CD 63372 1593 37 choices choice NNS 63372 1593 38 . . . 63372 1594 1 By by IN 63372 1594 2 dropping drop VBG 63372 1594 3 out out RP 63372 1594 4 either either CC 63372 1594 5 the the DT 63372 1594 6 $ $ $ 63372 1594 7 x$ x$ NNP 63372 1594 8 , , , 63372 1594 9 or or CC 63372 1594 10 the the DT 63372 1594 11 $ $ $ 63372 1594 12 y$ y$ NNP 63372 1594 13 , , , 63372 1594 14 or or CC 63372 1594 15 the the DT 63372 1594 16 $ $ $ 63372 1594 17 z$ z$ NNP 63372 1594 18 , , , 63372 1594 19 or or CC 63372 1594 20 the the DT 63372 1594 21 $ $ $ 63372 1594 22 t$ t$ NNP 63372 1594 23 , , , 63372 1594 24 we -PRON- PRP 63372 1594 25 get get VBP 63372 1594 26 a a DT 63372 1594 27 three three CD 63372 1594 28 - - HYPH 63372 1594 29 dimensioned dimension VBN 63372 1594 30 cross cross JJ 63372 1594 31 - - NN 63372 1594 32 section section NN 63372 1594 33 . . . 63372 1595 1 Now now RB 63372 1595 2 our -PRON- PRP$ 63372 1595 3 accustomed accustomed JJ 63372 1595 4 three three CD 63372 1595 5 - - HYPH 63372 1595 6 dimensional dimensional JJ 63372 1595 7 space space NN 63372 1595 8 is be VBZ 63372 1595 9 strictly strictly RB 63372 1595 10 Euclidean euclidean JJ 63372 1595 11 . . . 63372 1596 1 When when WRB 63372 1596 2 we -PRON- PRP 63372 1596 3 cross cross VBP 63372 1596 4 - - NN 63372 1596 5 section section NN 63372 1596 6 it -PRON- PRP 63372 1596 7 , , , 63372 1596 8 we -PRON- PRP 63372 1596 9 get get VBP 63372 1596 10 a a DT 63372 1596 11 Euclidean euclidean JJ 63372 1596 12 plane plane NN 63372 1596 13 no no RB 63372 1596 14 matter matter RB 63372 1596 15 what what WP 63372 1596 16 the the DT 63372 1596 17 direction direction NN 63372 1596 18 in in IN 63372 1596 19 which which WDT 63372 1596 20 we -PRON- PRP 63372 1596 21 make make VBP 63372 1596 22 the the DT 63372 1596 23 cut cut NN 63372 1596 24 . . . 63372 1597 1 Likewise likewise RB 63372 1597 2 the the DT 63372 1597 3 Euclidean euclidean JJ 63372 1597 4 plane plane NN 63372 1597 5 is be VBZ 63372 1597 6 wholly wholly RB 63372 1597 7 Euclidean euclidean JJ 63372 1597 8 , , , 63372 1597 9 because because IN 63372 1597 10 when when WRB 63372 1597 11 we -PRON- PRP 63372 1597 12 cross cross VBP 63372 1597 13 - - NN 63372 1597 14 section section VBP 63372 1597 15 it -PRON- PRP 63372 1597 16 in in IN 63372 1597 17 any any DT 63372 1597 18 direction direction NN 63372 1597 19 whatever whatever WDT 63372 1597 20 we -PRON- PRP 63372 1597 21 get get VBP 63372 1597 22 a a DT 63372 1597 23 Euclidean euclidean JJ 63372 1597 24 line line NN 63372 1597 25 . . . 63372 1598 1 A a DT 63372 1598 2 cylindrical cylindrical JJ 63372 1598 3 surface surface NN 63372 1598 4 , , , 63372 1598 5 on on IN 63372 1598 6 the the DT 63372 1598 7 other other JJ 63372 1598 8 hand hand NN 63372 1598 9 , , , 63372 1598 10 is be VBZ 63372 1598 11 neither neither DT 63372 1598 12 wholly wholly RB 63372 1598 13 Euclidean euclidean JJ 63372 1598 14 nor nor CC 63372 1598 15 wholly wholly RB 63372 1598 16 non non JJ 63372 1598 17 - - JJ 63372 1598 18 Euclidean euclidean JJ 63372 1598 19 in in IN 63372 1598 20 this this DT 63372 1598 21 matter matter NN 63372 1598 22 of of IN 63372 1598 23 cross cross JJ 63372 1598 24 - - NN 63372 1598 25 sectioning sectioning NN 63372 1598 26 . . . 63372 1599 1 If if IN 63372 1599 2 we -PRON- PRP 63372 1599 3 take take VBP 63372 1599 4 a a DT 63372 1599 5 section section NN 63372 1599 6 in in IN 63372 1599 7 one one CD 63372 1599 8 direction direction NN 63372 1599 9 we -PRON- PRP 63372 1599 10 get get VBP 63372 1599 11 a a DT 63372 1599 12 Euclidean euclidean JJ 63372 1599 13 line line NN 63372 1599 14 and and CC 63372 1599 15 if if IN 63372 1599 16 we -PRON- PRP 63372 1599 17 take take VBP 63372 1599 18 a a DT 63372 1599 19 section section NN 63372 1599 20 in in IN 63372 1599 21 the the DT 63372 1599 22 other other JJ 63372 1599 23 direction direction NN 63372 1599 24 we -PRON- PRP 63372 1599 25 get get VBP 63372 1599 26 a a DT 63372 1599 27 circle circle NN 63372 1599 28 ( ( -LRB- 63372 1599 29 if if IN 63372 1599 30 the the DT 63372 1599 31 cylindrical cylindrical JJ 63372 1599 32 surface surface NN 63372 1599 33 be be VB 63372 1599 34 a a DT 63372 1599 35 circular circular JJ 63372 1599 36 one one CD 63372 1599 37 ) ) -RRB- 63372 1599 38 . . . 63372 1600 1 And and CC 63372 1600 2 of of IN 63372 1600 3 course course NN 63372 1600 4 if if IN 63372 1600 5 we -PRON- PRP 63372 1600 6 take take VBP 63372 1600 7 an an DT 63372 1600 8 oblique oblique JJ 63372 1600 9 section section NN 63372 1600 10 of of IN 63372 1600 11 any any DT 63372 1600 12 sort sort NN 63372 1600 13 , , , 63372 1600 14 it -PRON- PRP 63372 1600 15 is be VBZ 63372 1600 16 neither neither CC 63372 1600 17 line line NN 63372 1600 18 nor nor CC 63372 1600 19 circle circle NN 63372 1600 20 , , , 63372 1600 21 but but CC 63372 1600 22 a a DT 63372 1600 23 compromise compromise NN 63372 1600 24 between between IN 63372 1600 25 the the DT 63372 1600 26 two two CD 63372 1600 27 -- -- : 63372 1600 28 the the DT 63372 1600 29 significant significant JJ 63372 1600 30 thing thing NN 63372 1600 31 being be VBG 63372 1600 32 that that IN 63372 1600 33 it -PRON- PRP 63372 1600 34 is be VBZ 63372 1600 35 still still RB 63372 1600 36 not not RB 63372 1600 37 a a DT 63372 1600 38 Euclidean euclidean JJ 63372 1600 39 line line NN 63372 1600 40 . . . 63372 1601 1 The the DT 63372 1601 2 space space NN 63372 1601 3 - - HYPH 63372 1601 4 time time NN 63372 1601 5 continuum continuum NN 63372 1601 6 presents present VBZ 63372 1601 7 an an DT 63372 1601 8 analogous analogous JJ 63372 1601 9 situation situation NN 63372 1601 10 . . . 63372 1602 1 When when WRB 63372 1602 2 we -PRON- PRP 63372 1602 3 cross cross VBP 63372 1602 4 - - NN 63372 1602 5 section section NN 63372 1602 6 it -PRON- PRP 63372 1602 7 by by IN 63372 1602 8 dropping drop VBG 63372 1602 9 out out RP 63372 1602 10 any any DT 63372 1602 11 one one CD 63372 1602 12 of of IN 63372 1602 13 the the DT 63372 1602 14 three three CD 63372 1602 15 space space NN 63372 1602 16 dimensions dimension NNS 63372 1602 17 , , , 63372 1602 18 we -PRON- PRP 63372 1602 19 get get VBP 63372 1602 20 a a DT 63372 1602 21 three three CD 63372 1602 22 - - HYPH 63372 1602 23 dimensional dimensional JJ 63372 1602 24 complex complex NN 63372 1602 25 in in IN 63372 1602 26 which which WDT 63372 1602 27 the the DT 63372 1602 28 distance distance NN 63372 1602 29 formula formula NN 63372 1602 30 is be VBZ 63372 1602 31 still still RB 63372 1602 32 non non JJ 63372 1602 33 - - JJ 63372 1602 34 Euclidean euclidean JJ 63372 1602 35 , , , 63372 1602 36 retaining retain VBG 63372 1602 37 the the DT 63372 1602 38 minus minus NN 63372 1602 39 sign sign NN 63372 1602 40 before before IN 63372 1602 41 the the DT 63372 1602 42 time time NN 63372 1602 43 - - HYPH 63372 1602 44 difference difference NN 63372 1602 45 and and CC 63372 1602 46 therefore therefore RB 63372 1602 47 retaining retain VBG 63372 1602 48 the the DT 63372 1602 49 geometric geometric JJ 63372 1602 50 character character NN 63372 1602 51 of of IN 63372 1602 52 its -PRON- PRP$ 63372 1602 53 parent parent NN 63372 1602 54 . . . 63372 1603 1 But but CC 63372 1603 2 if if IN 63372 1603 3 we -PRON- PRP 63372 1603 4 take take VBP 63372 1603 5 our -PRON- PRP$ 63372 1603 6 cross cross JJ 63372 1603 7 - - NN 63372 1603 8 section section NN 63372 1603 9 in in IN 63372 1603 10 such such PDT 63372 1603 11 a a DT 63372 1603 12 way way NN 63372 1603 13 as as IN 63372 1603 14 to to TO 63372 1603 15 eliminate eliminate VB 63372 1603 16 the the DT 63372 1603 17 time time NN 63372 1603 18 coordinate coordinate VB 63372 1603 19 , , , 63372 1603 20 this this DT 63372 1603 21 peculiarity peculiarity NN 63372 1603 22 disappears disappear VBZ 63372 1603 23 . . . 63372 1604 1 The the DT 63372 1604 2 signs sign NNS 63372 1604 3 in in IN 63372 1604 4 the the DT 63372 1604 5 invariant invariant JJ 63372 1604 6 expression expression NN 63372 1604 7 are be VBP 63372 1604 8 then then RB 63372 1604 9 all all RB 63372 1604 10 plus plus RB 63372 1604 11 , , , 63372 1604 12 and and CC 63372 1604 13 the the DT 63372 1604 14 cross cross JJ 63372 1604 15 - - NN 63372 1604 16 section section NN 63372 1604 17 is be VBZ 63372 1604 18 in in IN 63372 1604 19 fact fact NN 63372 1604 20 our -PRON- PRP$ 63372 1604 21 familiar familiar JJ 63372 1604 22 Euclidean Euclidean NNP 63372 1604 23 three three CD 63372 1604 24 - - HYPH 63372 1604 25 space space NN 63372 1604 26 . . . 63372 1605 1 If if IN 63372 1605 2 we -PRON- PRP 63372 1605 3 set set VBP 63372 1605 4 up up RP 63372 1605 5 a a DT 63372 1605 6 surface surface NN 63372 1605 7 geometry geometry NN 63372 1605 8 on on IN 63372 1605 9 a a DT 63372 1605 10 sphere sphere NN 63372 1605 11 , , , 63372 1605 12 we -PRON- PRP 63372 1605 13 find find VBP 63372 1605 14 that that IN 63372 1605 15 the the DT 63372 1605 16 elimination elimination NN 63372 1605 17 of of IN 63372 1605 18 one one CD 63372 1605 19 dimension dimension NN 63372 1605 20 leaves leave VBZ 63372 1605 21 us -PRON- PRP 63372 1605 22 with with IN 63372 1605 23 a a DT 63372 1605 24 line line NN 63372 1605 25 - - HYPH 63372 1605 26 geometry geometry NN 63372 1605 27 that that WDT 63372 1605 28 is be VBZ 63372 1605 29 still still RB 63372 1605 30 non non JJ 63372 1605 31 - - JJ 63372 1605 32 Euclidean euclidean JJ 63372 1605 33 since since IN 63372 1605 34 it -PRON- PRP 63372 1605 35 pertains pertain VBZ 63372 1605 36 to to IN 63372 1605 37 the the DT 63372 1605 38 great great JJ 63372 1605 39 circles circle NNS 63372 1605 40 of of IN 63372 1605 41 the the DT 63372 1605 42 sphere sphere NN 63372 1605 43 rather rather RB 63372 1605 44 than than IN 63372 1605 45 to to IN 63372 1605 46 Euclidean euclidean JJ 63372 1605 47 straight straight JJ 63372 1605 48 lines line NNS 63372 1605 49 . . . 63372 1606 1 In in IN 63372 1606 2 shaking shake VBG 63372 1606 3 Minkowski Minkowski NNP 63372 1606 4 's 's POS 63372 1606 5 continuum continuum NN 63372 1606 6 down down RP 63372 1606 7 into into IN 63372 1606 8 a a DT 63372 1606 9 three three CD 63372 1606 10 - - HYPH 63372 1606 11 dimensional dimensional JJ 63372 1606 12 one one NN 63372 1606 13 by by IN 63372 1606 14 eliminating eliminate VBG 63372 1606 15 any any DT 63372 1606 16 one one CD 63372 1606 17 of of IN 63372 1606 18 his -PRON- PRP$ 63372 1606 19 coordinates coordinate NNS 63372 1606 20 , , , 63372 1606 21 if if IN 63372 1606 22 we -PRON- PRP 63372 1606 23 eliminate eliminate VBP 63372 1606 24 either either CC 63372 1606 25 the the DT 63372 1606 26 $ $ $ 63372 1606 27 x$ x$ NNP 63372 1606 28 , , , 63372 1606 29 the the DT 63372 1606 30 $ $ $ 63372 1606 31 y$ y$ NNP 63372 1606 32 or or CC 63372 1606 33 the the DT 63372 1606 34 $ $ $ 63372 1606 35 z$ z$ NNP 63372 1606 36 , , , 63372 1606 37 we -PRON- PRP 63372 1606 38 have have VBP 63372 1606 39 left leave VBN 63372 1606 40 a a DT 63372 1606 41 three three CD 63372 1606 42 - - HYPH 63372 1606 43 dimensional dimensional JJ 63372 1606 44 geometry geometry NN 63372 1606 45 in in IN 63372 1606 46 which which WDT 63372 1606 47 the the DT 63372 1606 48 disturbing disturb VBG 63372 1606 49 minus minus NN 63372 1606 50 sign sign NN 63372 1606 51 still still RB 63372 1606 52 occurs occur VBZ 63372 1606 53 in in IN 63372 1606 54 the the DT 63372 1606 55 distance distance NN 63372 1606 56 - - HYPH 63372 1606 57 formula formula NN 63372 1606 58 , , , 63372 1606 59 and and CC 63372 1606 60 which which WDT 63372 1606 61 is be VBZ 63372 1606 62 therefore therefore RB 63372 1606 63 still still RB 63372 1606 64 non non JJ 63372 1606 65 - - JJ 63372 1606 66 Euclidean euclidean JJ 63372 1606 67 . . . 63372 1607 1 If if IN 63372 1607 2 we -PRON- PRP 63372 1607 3 omit omit VBP 63372 1607 4 the the DT 63372 1607 5 $ $ $ 63372 1607 6 t$ t$ NNP 63372 1607 7 , , , 63372 1607 8 this this DT 63372 1607 9 does do VBZ 63372 1607 10 not not RB 63372 1607 11 occur occur VB 63372 1607 12 . . . 63372 1608 1 We -PRON- PRP 63372 1608 2 see see VBP 63372 1608 3 , , , 63372 1608 4 then then RB 63372 1608 5 , , , 63372 1608 6 that that IN 63372 1608 7 the the DT 63372 1608 8 time time NN 63372 1608 9 dimension dimension NN 63372 1608 10 is be VBZ 63372 1608 11 the the DT 63372 1608 12 disturbing disturb VBG 63372 1608 13 factor factor NN 63372 1608 14 , , , 63372 1608 15 the the DT 63372 1608 16 one one NN 63372 1608 17 which which WDT 63372 1608 18 gives give VBZ 63372 1608 19 to to IN 63372 1608 20 space space NN 63372 1608 21 - - HYPH 63372 1608 22 time time NN 63372 1608 23 its -PRON- PRP$ 63372 1608 24 non non JJ 63372 1608 25 - - JJ 63372 1608 26 Euclidean euclidean JJ 63372 1608 27 character character NN 63372 1608 28 so so RB 63372 1608 29 far far RB 63372 1608 30 as as IN 63372 1608 31 the the DT 63372 1608 32 possession possession NN 63372 1608 33 of of IN 63372 1608 34 curvature curvature NN 63372 1608 35 is be VBZ 63372 1608 36 concerned concern VBN 63372 1608 37 . . . 63372 1609 1 And and CC 63372 1609 2 we -PRON- PRP 63372 1609 3 see see VBP 63372 1609 4 that that IN 63372 1609 5 this this DT 63372 1609 6 curvature curvature NN 63372 1609 7 is be VBZ 63372 1609 8 not not RB 63372 1609 9 the the DT 63372 1609 10 same same JJ 63372 1609 11 in in IN 63372 1609 12 all all DT 63372 1609 13 directions direction NNS 63372 1609 14 , , , 63372 1609 15 and and CC 63372 1609 16 in in IN 63372 1609 17 one one CD 63372 1609 18 direction direction NN 63372 1609 19 is be VBZ 63372 1609 20 actually actually RB 63372 1609 21 zero zero CD 63372 1609 22 -- -- : 63372 1609 23 whence whence NN 63372 1609 24 the the DT 63372 1609 25 attempted attempt VBN 63372 1609 26 analogy analogy NN 63372 1609 27 with with IN 63372 1609 28 a a DT 63372 1609 29 cylinder cylinder NN 63372 1609 30 instead instead RB 63372 1609 31 of of IN 63372 1609 32 with with IN 63372 1609 33 a a DT 63372 1609 34 sphere sphere NN 63372 1609 35 . . . 63372 1610 1 Many many JJ 63372 1610 2 writers writer NNS 63372 1610 3 on on IN 63372 1610 4 relativity relativity NN 63372 1610 5 try try VBP 63372 1610 6 to to TO 63372 1610 7 give give VB 63372 1610 8 the the DT 63372 1610 9 space space NN 63372 1610 10 - - HYPH 63372 1610 11 time time NN 63372 1610 12 continuum continuum IN 63372 1610 13 an an DT 63372 1610 14 appeal appeal NN 63372 1610 15 to to IN 63372 1610 16 our -PRON- PRP$ 63372 1610 17 reason reason NN 63372 1610 18 and and CC 63372 1610 19 a a DT 63372 1610 20 character character NN 63372 1610 21 of of IN 63372 1610 22 inevitableness inevitableness NN 63372 1610 23 by by IN 63372 1610 24 insisting insist VBG 63372 1610 25 on on IN 63372 1610 26 the the DT 63372 1610 27 lack lack NN 63372 1610 28 of of IN 63372 1610 29 any any DT 63372 1610 30 fundamental fundamental JJ 63372 1610 31 distinction distinction NN 63372 1610 32 between between IN 63372 1610 33 space space NN 63372 1610 34 and and CC 63372 1610 35 time time NN 63372 1610 36 . . . 63372 1611 1 The the DT 63372 1611 2 very very JJ 63372 1611 3 expression expression NN 63372 1611 4 for for IN 63372 1611 5 the the DT 63372 1611 6 space space NN 63372 1611 7 - - HYPH 63372 1611 8 time time NN 63372 1611 9 invariant invariant NN 63372 1611 10 denies deny VBZ 63372 1611 11 this this DT 63372 1611 12 . . . 63372 1612 1 Time Time NNP 63372 1612 2 is be VBZ 63372 1612 3 distinguishable distinguishable JJ 63372 1612 4 from from IN 63372 1612 5 space space NN 63372 1612 6 . . . 63372 1613 1 The the DT 63372 1613 2 three three CD 63372 1613 3 dimensions dimension NNS 63372 1613 4 of of IN 63372 1613 5 space space NN 63372 1613 6 are be VBP 63372 1613 7 quite quite RB 63372 1613 8 indistinguishable indistinguishable JJ 63372 1613 9 -- -- : 63372 1613 10 we -PRON- PRP 63372 1613 11 can can MD 63372 1613 12 interchange interchange VB 63372 1613 13 them -PRON- PRP 63372 1613 14 without without IN 63372 1613 15 affecting affect VBG 63372 1613 16 the the DT 63372 1613 17 formula formula NN 63372 1613 18 , , , 63372 1613 19 we -PRON- PRP 63372 1613 20 can can MD 63372 1613 21 drop drop VB 63372 1613 22 one one CD 63372 1613 23 out out RP 63372 1613 24 and and CC 63372 1613 25 never never RB 63372 1613 26 know know VB 63372 1613 27 which which WDT 63372 1613 28 is be VBZ 63372 1613 29 gone go VBN 63372 1613 30 . . . 63372 1614 1 But but CC 63372 1614 2 the the DT 63372 1614 3 very very JJ 63372 1614 4 formula formula NN 63372 1614 5 singles single NNS 63372 1614 6 out out RP 63372 1614 7 time time NN 63372 1614 8 as as IN 63372 1614 9 distinct distinct JJ 63372 1614 10 from from IN 63372 1614 11 space space NN 63372 1614 12 , , , 63372 1614 13 as as IN 63372 1614 14 inherently inherently RB 63372 1614 15 different different JJ 63372 1614 16 in in IN 63372 1614 17 some some DT 63372 1614 18 way way NN 63372 1614 19 . . . 63372 1615 1 It -PRON- PRP 63372 1615 2 is be VBZ 63372 1615 3 not not RB 63372 1615 4 so so RB 63372 1615 5 inherently inherently RB 63372 1615 6 different different JJ 63372 1615 7 as as IN 63372 1615 8 we -PRON- PRP 63372 1615 9 have have VBP 63372 1615 10 always always RB 63372 1615 11 supposed suppose VBN 63372 1615 12 ; ; : 63372 1615 13 it -PRON- PRP 63372 1615 14 is be VBZ 63372 1615 15 not not RB 63372 1615 16 sufficiently sufficiently RB 63372 1615 17 different different JJ 63372 1615 18 to to TO 63372 1615 19 offer offer VB 63372 1615 20 any any DT 63372 1615 21 obstacle obstacle NN 63372 1615 22 to to IN 63372 1615 23 our -PRON- PRP$ 63372 1615 24 thinking thinking NN 63372 1615 25 in in IN 63372 1615 26 terms term NNS 63372 1615 27 of of IN 63372 1615 28 the the DT 63372 1615 29 four four CD 63372 1615 30 - - HYPH 63372 1615 31 dimensional dimensional JJ 63372 1615 32 continuum continuum NN 63372 1615 33 . . . 63372 1616 1 But but CC 63372 1616 2 while while IN 63372 1616 3 we -PRON- PRP 63372 1616 4 can can MD 63372 1616 5 group group VB 63372 1616 6 space space NN 63372 1616 7 and and CC 63372 1616 8 time time NN 63372 1616 9 together together RB 63372 1616 10 in in IN 63372 1616 11 this this DT 63372 1616 12 way way NN 63372 1616 13 , , , 63372 1616 14 [ [ -LRB- 63372 1616 15 this this DT 63372 1616 16 does do VBZ 63372 1616 17 not not RB 63372 1616 18 mean mean VB 63372 1616 19 at at RB 63372 1616 20 all all RB 63372 1616 21 that that DT 63372 1616 22 space space NN 63372 1616 23 and and CC 63372 1616 24 time time NN 63372 1616 25 cease cease NN 63372 1616 26 to to TO 63372 1616 27 differ differ VB 63372 1616 28 . . . 63372 1617 1 A a DT 63372 1617 2 cook cook NN 63372 1617 3 may may MD 63372 1617 4 combine combine VB 63372 1617 5 meat meat NN 63372 1617 6 with with IN 63372 1617 7 potatoes potato NNS 63372 1617 8 and and CC 63372 1617 9 call call VB 63372 1617 10 the the DT 63372 1617 11 product product NN 63372 1617 12 hash hash NN 63372 1617 13 , , , 63372 1617 14 but but CC 63372 1617 15 meat meat NN 63372 1617 16 and and CC 63372 1617 17 potatoes potato NNS 63372 1617 18 do do VBP 63372 1617 19 not not RB 63372 1617 20 thereby thereby RB 63372 1617 21 become become VB 63372 1617 22 identical identical JJ 63372 1617 23 . . . 63372 1618 1 ] ] -RRB- 63372 1618 2 223 223 CD 63372 1618 3 THE the DT 63372 1618 4 QUESTION question NN 63372 1618 5 OF of IN 63372 1618 6 VISUALIZATION visualization NN 63372 1618 7 To to IN 63372 1618 8 the the DT 63372 1618 9 layman layman NN 63372 1618 10 there there EX 63372 1618 11 is be VBZ 63372 1618 12 a a DT 63372 1618 13 great great JJ 63372 1618 14 temptation temptation NN 63372 1618 15 to to TO 63372 1618 16 say say VB 63372 1618 17 that that IN 63372 1618 18 while while IN 63372 1618 19 , , , 63372 1618 20 mathematically mathematically RB 63372 1618 21 speaking speak VBG 63372 1618 22 , , , 63372 1618 23 the the DT 63372 1618 24 space space NN 63372 1618 25 - - HYPH 63372 1618 26 time time NN 63372 1618 27 continuum continuum NN 63372 1618 28 may may MD 63372 1618 29 be be VB 63372 1618 30 a a DT 63372 1618 31 great great JJ 63372 1618 32 simplification simplification NN 63372 1618 33 , , , 63372 1618 34 it -PRON- PRP 63372 1618 35 does do VBZ 63372 1618 36 not not RB 63372 1618 37 really really RB 63372 1618 38 represent represent VB 63372 1618 39 the the DT 63372 1618 40 external external JJ 63372 1618 41 world world NN 63372 1618 42 . . . 63372 1619 1 To to TO 63372 1619 2 be be VB 63372 1619 3 sure sure JJ 63372 1619 4 , , , 63372 1619 5 you -PRON- PRP 63372 1619 6 ca can MD 63372 1619 7 n't not RB 63372 1619 8 see see VB 63372 1619 9 the the DT 63372 1619 10 space space NN 63372 1619 11 - - HYPH 63372 1619 12 time time NN 63372 1619 13 continuum continuum NN 63372 1619 14 in in IN 63372 1619 15 precisely precisely RB 63372 1619 16 the the DT 63372 1619 17 same same JJ 63372 1619 18 way way NN 63372 1619 19 that that WDT 63372 1619 20 you -PRON- PRP 63372 1619 21 can can MD 63372 1619 22 the the DT 63372 1619 23 three three CD 63372 1619 24 - - HYPH 63372 1619 25 dimensional dimensional JJ 63372 1619 26 space space NN 63372 1619 27 continuum continuum NN 63372 1619 28 , , , 63372 1619 29 but but CC 63372 1619 30 this this DT 63372 1619 31 is be VBZ 63372 1619 32 only only RB 63372 1619 33 because because IN 63372 1619 34 Einstein Einstein NNP 63372 1619 35 finds find VBZ 63372 1619 36 the the DT 63372 1619 37 time time NN 63372 1619 38 dimension dimension NN 63372 1619 39 to to TO 63372 1619 40 be be VB 63372 1619 41 not not RB 63372 1619 42 quite quite RB 63372 1619 43 freely freely RB 63372 1619 44 interchangeable interchangeable JJ 63372 1619 45 with with IN 63372 1619 46 the the DT 63372 1619 47 space space NN 63372 1619 48 dimension dimension NN 63372 1619 49 . . . 63372 1620 1 Yet yet CC 63372 1620 2 you -PRON- PRP 63372 1620 3 do do VBP 63372 1620 4 perceive perceive VB 63372 1620 5 this this DT 63372 1620 6 space space NN 63372 1620 7 - - HYPH 63372 1620 8 time time NN 63372 1620 9 continuum continuum NN 63372 1620 10 , , , 63372 1620 11 in in IN 63372 1620 12 the the DT 63372 1620 13 manner manner NN 63372 1620 14 appropriate appropriate JJ 63372 1620 15 for for IN 63372 1620 16 its -PRON- PRP$ 63372 1620 17 perception perception NN 63372 1620 18 ; ; : 63372 1620 19 and and CC 63372 1620 20 it -PRON- PRP 63372 1620 21 would would MD 63372 1620 22 be be VB 63372 1620 23 just just RB 63372 1620 24 as as RB 63372 1620 25 sensible sensible JJ 63372 1620 26 to to TO 63372 1620 27 throw throw VB 63372 1620 28 out out RP 63372 1620 29 the the DT 63372 1620 30 space space NN 63372 1620 31 continuum continuum NN 63372 1620 32 itself -PRON- PRP 63372 1620 33 on on IN 63372 1620 34 the the DT 63372 1620 35 ground ground NN 63372 1620 36 that that DT 63372 1620 37 perception perception NN 63372 1620 38 of of IN 63372 1620 39 the the DT 63372 1620 40 two two CD 63372 1620 41 is be VBZ 63372 1620 42 not not RB 63372 1620 43 of of IN 63372 1620 44 exactly exactly RB 63372 1620 45 the the DT 63372 1620 46 same same JJ 63372 1620 47 sort sort NN 63372 1620 48 , , , 63372 1620 49 as as IN 63372 1620 50 to to TO 63372 1620 51 throw throw VB 63372 1620 52 out out RP 63372 1620 53 the the DT 63372 1620 54 space space NN 63372 1620 55 - - HYPH 63372 1620 56 time time NN 63372 1620 57 continuum continuum NN 63372 1620 58 on on IN 63372 1620 59 this this DT 63372 1620 60 ground ground NN 63372 1620 61 . . . 63372 1621 1 With with IN 63372 1621 2 appropriate appropriate JJ 63372 1621 3 conventions convention NNS 63372 1621 4 , , , 63372 1621 5 either either CC 63372 1621 6 may may MD 63372 1621 7 stand stand VB 63372 1621 8 as as IN 63372 1621 9 the the DT 63372 1621 10 mental mental JJ 63372 1621 11 picture picture NN 63372 1621 12 of of IN 63372 1621 13 the the DT 63372 1621 14 external external JJ 63372 1621 15 world world NN 63372 1621 16 ; ; : 63372 1621 17 it -PRON- PRP 63372 1621 18 is be VBZ 63372 1621 19 for for IN 63372 1621 20 us -PRON- PRP 63372 1621 21 to to TO 63372 1621 22 choose choose VB 63372 1621 23 which which WDT 63372 1621 24 is be VBZ 63372 1621 25 the the DT 63372 1621 26 more more RBR 63372 1621 27 convenient convenient JJ 63372 1621 28 and and CC 63372 1621 29 useful useful JJ 63372 1621 30 image image NN 63372 1621 31 . . . 63372 1622 1 Einstein Einstein NNP 63372 1622 2 tells tell VBZ 63372 1622 3 us -PRON- PRP 63372 1622 4 that that IN 63372 1622 5 his -PRON- PRP$ 63372 1622 6 image image NN 63372 1622 7 is be VBZ 63372 1622 8 the the DT 63372 1622 9 better well JJR 63372 1622 10 , , , 63372 1622 11 and and CC 63372 1622 12 tells tell VBZ 63372 1622 13 us -PRON- PRP 63372 1622 14 why why WRB 63372 1622 15 . . . 63372 1623 1 Before before IN 63372 1623 2 we -PRON- PRP 63372 1623 3 look look VBP 63372 1623 4 into into IN 63372 1623 5 this this DT 63372 1623 6 , , , 63372 1623 7 we -PRON- PRP 63372 1623 8 must must MD 63372 1623 9 let let VB 63372 1623 10 him -PRON- PRP 63372 1623 11 tell tell VB 63372 1623 12 us -PRON- PRP 63372 1623 13 something something NN 63372 1623 14 more more JJR 63372 1623 15 about about IN 63372 1623 16 the the DT 63372 1623 17 geometry geometry NN 63372 1623 18 of of IN 63372 1623 19 his -PRON- PRP$ 63372 1623 20 continuum continuum NN 63372 1623 21 . . . 63372 1624 1 What what WP 63372 1624 2 he -PRON- PRP 63372 1624 3 tells tell VBZ 63372 1624 4 us -PRON- PRP 63372 1624 5 is be VBZ 63372 1624 6 , , , 63372 1624 7 in in IN 63372 1624 8 its -PRON- PRP$ 63372 1624 9 essentials essential NNS 63372 1624 10 , , , 63372 1624 11 just just RB 63372 1624 12 this this DT 63372 1624 13 . . . 63372 1625 1 The the DT 63372 1625 2 observer observer NN 63372 1625 3 in in IN 63372 1625 4 a a DT 63372 1625 5 pure pure JJ 63372 1625 6 space space NN 63372 1625 7 continuum continuum NN 63372 1625 8 of of IN 63372 1625 9 three three CD 63372 1625 10 dimensions dimension NNS 63372 1625 11 finds find VBZ 63372 1625 12 that that IN 63372 1625 13 as as IN 63372 1625 14 he -PRON- PRP 63372 1625 15 changes change VBZ 63372 1625 16 his -PRON- PRP$ 63372 1625 17 position position NN 63372 1625 18 , , , 63372 1625 19 his -PRON- PRP$ 63372 1625 20 right right JJ 63372 1625 21 - - HYPH 63372 1625 22 and and CC 63372 1625 23 - - HYPH 63372 1625 24 left leave VBN 63372 1625 25 , , , 63372 1625 26 his -PRON- PRP$ 63372 1625 27 backward backward JJ 63372 1625 28 - - HYPH 63372 1625 29 and and CC 63372 1625 30 - - HYPH 63372 1625 31 forward forward NN 63372 1625 32 , , , 63372 1625 33 and and CC 63372 1625 34 his -PRON- PRP$ 63372 1625 35 up up JJ 63372 1625 36 - - HYPH 63372 1625 37 and and CC 63372 1625 38 - - HYPH 63372 1625 39 down down NN 63372 1625 40 are be VBP 63372 1625 41 not not RB 63372 1625 42 fixed fix VBN 63372 1625 43 directions direction NNS 63372 1625 44 inherent inherent JJ 63372 1625 45 in in IN 63372 1625 46 nature nature NN 63372 1625 47 , , , 63372 1625 48 but but CC 63372 1625 49 are be VBP 63372 1625 50 fully fully RB 63372 1625 51 interchangeable interchangeable JJ 63372 1625 52 . . . 63372 1626 1 The the DT 63372 1626 2 observers observer NNS 63372 1626 3 , , , 63372 1626 4 in in IN 63372 1626 5 the the DT 63372 1626 6 adjoined adjoin VBN 63372 1626 7 sketch sketch NN 63372 1626 8 , , , 63372 1626 9 whose whose WP$ 63372 1626 10 verticals vertical NNS 63372 1626 11 are be VBP 63372 1626 12 as as RB 63372 1626 13 indicated indicate VBN 63372 1626 14 by by IN 63372 1626 15 the the DT 63372 1626 16 arrows arrow NNS 63372 1626 17 , , , 63372 1626 18 find find VB 63372 1626 19 very very RB 63372 1626 20 different different JJ 63372 1626 21 vertical vertical JJ 63372 1626 22 and and CC 63372 1626 23 horizontal horizontal JJ 63372 1626 24 components component NNS 63372 1626 25 for for IN 63372 1626 26 the the DT 63372 1626 27 distance distance NN 63372 1626 28 between between IN 63372 1626 29 the the DT 63372 1626 30 points point NNS 63372 1626 31 $ $ $ 63372 1626 32 O$ O$ NNP 63372 1626 33 and and CC 63372 1626 34 $ $ $ 63372 1626 35 P$ p$ CD 63372 1626 36 ; ; : 63372 1626 37 a a DT 63372 1626 38 similar similar JJ 63372 1626 39 situation situation NN 63372 1626 40 would would MD 63372 1626 41 prevail prevail VB 63372 1626 42 if if IN 63372 1626 43 we -PRON- PRP 63372 1626 44 used use VBD 63372 1626 45 all all DT 63372 1626 46 three three CD 63372 1626 47 space space NN 63372 1626 48 directions direction NNS 63372 1626 49 . . . 63372 1627 1 The the DT 63372 1627 2 statement statement NN 63372 1627 3 analogous analogous JJ 63372 1627 4 to to IN 63372 1627 5 this this DT 63372 1627 6 for for IN 63372 1627 7 Einstein Einstein NNP 63372 1627 8 's 's POS 63372 1627 9 four four CD 63372 1627 10 - - HYPH 63372 1627 11 dimensional dimensional JJ 63372 1627 12 continuum continuum NN 63372 1627 13 of of IN 63372 1627 14 space space NN 63372 1627 15 and and CC 63372 1627 16 time time NN 63372 1627 17 combined combine VBN 63372 1627 18 is be VBZ 63372 1627 19 that that IN 63372 1627 20 , , , 63372 1627 21 as as IN 63372 1627 22 observers observer NNS 63372 1627 23 change change VBP 63372 1627 24 their -PRON- PRP$ 63372 1627 25 relative relative JJ 63372 1627 26 motion motion NN 63372 1627 27 , , , 63372 1627 28 their -PRON- PRP$ 63372 1627 29 time time NN 63372 1627 30 axes axis NNS 63372 1627 31 take take VBP 63372 1627 32 slightly slightly RB 63372 1627 33 different different JJ 63372 1627 34 directions direction NNS 63372 1627 35 , , , 63372 1627 36 so so IN 63372 1627 37 that that IN 63372 1627 38 what what WP 63372 1627 39 is be VBZ 63372 1627 40 purely purely RB 63372 1627 41 space space NN 63372 1627 42 or or CC 63372 1627 43 purely purely RB 63372 1627 44 time time NN 63372 1627 45 for for IN 63372 1627 46 the the DT 63372 1627 47 one one NN 63372 1627 48 becomes become VBZ 63372 1627 49 space space NN 63372 1627 50 with with IN 63372 1627 51 a a DT 63372 1627 52 small small JJ 63372 1627 53 component component NN 63372 1627 54 in in IN 63372 1627 55 the the DT 63372 1627 56 time time NN 63372 1627 57 direction direction NN 63372 1627 58 , , , 63372 1627 59 or or CC 63372 1627 60 time time NN 63372 1627 61 with with IN 63372 1627 62 a a DT 63372 1627 63 small small JJ 63372 1627 64 component component NN 63372 1627 65 in in IN 63372 1627 66 the the DT 63372 1627 67 space space NN 63372 1627 68 direction direction NN 63372 1627 69 , , , 63372 1627 70 for for IN 63372 1627 71 the the DT 63372 1627 72 other other JJ 63372 1627 73 . . . 63372 1628 1 This this DT 63372 1628 2 it -PRON- PRP 63372 1628 3 will will MD 63372 1628 4 be be VB 63372 1628 5 seen see VBN 63372 1628 6 explains explain VBZ 63372 1628 7 fully fully RB 63372 1628 8 why why WRB 63372 1628 9 observers observer NNS 63372 1628 10 in in IN 63372 1628 11 relative relative JJ 63372 1628 12 motion motion NN 63372 1628 13 can can MD 63372 1628 14 differ differ VB 63372 1628 15 about about IN 63372 1628 16 space space NN 63372 1628 17 and and CC 63372 1628 18 time time NN 63372 1628 19 measurements measurement NNS 63372 1628 20 . . . 63372 1629 1 We -PRON- PRP 63372 1629 2 should should MD 63372 1629 3 not not RB 63372 1629 4 be be VB 63372 1629 5 at at RB 63372 1629 6 all all RB 63372 1629 7 surprised surprised JJ 63372 1629 8 if if IN 63372 1629 9 the the DT 63372 1629 10 two two CD 63372 1629 11 observers observer NNS 63372 1629 12 of of IN 63372 1629 13 the the DT 63372 1629 14 figure figure NN 63372 1629 15 reported report VBD 63372 1629 16 different different JJ 63372 1629 17 values value NNS 63372 1629 18 for for IN 63372 1629 19 horizontals horizontal NNS 63372 1629 20 and and CC 63372 1629 21 verticals vertical NNS 63372 1629 22 ; ; : 63372 1629 23 we -PRON- PRP 63372 1629 24 should should MD 63372 1629 25 realize realize VB 63372 1629 26 that that IN 63372 1629 27 what what WP 63372 1629 28 was be VBD 63372 1629 29 vertical vertical JJ 63372 1629 30 for for IN 63372 1629 31 one one CD 63372 1629 32 had have VBD 63372 1629 33 become become VBN 63372 1629 34 partly partly RB 63372 1629 35 horizontal horizontal JJ 63372 1629 36 for for IN 63372 1629 37 the the DT 63372 1629 38 other other JJ 63372 1629 39 . . . 63372 1630 1 It -PRON- PRP 63372 1630 2 is be VBZ 63372 1630 3 just just RB 63372 1630 4 so so RB 63372 1630 5 , , , 63372 1630 6 says say VBZ 63372 1630 7 Einstein Einstein NNP 63372 1630 8 , , , 63372 1630 9 with with IN 63372 1630 10 his -PRON- PRP$ 63372 1630 11 observers observer NNS 63372 1630 12 of of IN 63372 1630 13 time time NN 63372 1630 14 and and CC 63372 1630 15 space space NN 63372 1630 16 who who WP 63372 1630 17 are be VBP 63372 1630 18 in in IN 63372 1630 19 relative relative JJ 63372 1630 20 motion motion NN 63372 1630 21 to to IN 63372 1630 22 one one CD 63372 1630 23 another another DT 63372 1630 24 ; ; : 63372 1630 25 what what WP 63372 1630 26 one one NN 63372 1630 27 sees see VBZ 63372 1630 28 as as IN 63372 1630 29 space space NN 63372 1630 30 the the DT 63372 1630 31 other other JJ 63372 1630 32 sees see VBZ 63372 1630 33 as as RB 63372 1630 34 partly partly RB 63372 1630 35 time time NN 63372 1630 36 , , , 63372 1630 37 because because IN 63372 1630 38 their -PRON- PRP$ 63372 1630 39 time time NN 63372 1630 40 axes axis NNS 63372 1630 41 do do VBP 63372 1630 42 not not RB 63372 1630 43 run run VB 63372 1630 44 quite quite RB 63372 1630 45 parallel parallel JJ 63372 1630 46 . . . 63372 1631 1 The the DT 63372 1631 2 natural natural JJ 63372 1631 3 question question NN 63372 1631 4 here here RB 63372 1631 5 , , , 63372 1631 6 of of IN 63372 1631 7 course course NN 63372 1631 8 , , , 63372 1631 9 is be VBZ 63372 1631 10 " " `` 63372 1631 11 Well well UH 63372 1631 12 , , , 63372 1631 13 where where WRB 63372 1631 14 are be VBP 63372 1631 15 their -PRON- PRP$ 63372 1631 16 time time NN 63372 1631 17 axes axis NNS 63372 1631 18 ? ? . 63372 1631 19 " " '' 63372 1632 1 If if IN 63372 1632 2 you -PRON- PRP 63372 1632 3 know know VBP 63372 1632 4 what what WP 63372 1632 5 to to TO 63372 1632 6 look look VB 63372 1632 7 for for IN 63372 1632 8 , , , 63372 1632 9 of of IN 63372 1632 10 course course NN 63372 1632 11 , , , 63372 1632 12 you -PRON- PRP 63372 1632 13 ought ought MD 63372 1632 14 to to TO 63372 1632 15 be be VB 63372 1632 16 able able JJ 63372 1632 17 to to TO 63372 1632 18 perceive perceive VB 63372 1632 19 them -PRON- PRP 63372 1632 20 in in IN 63372 1632 21 just just RB 63372 1632 22 the the DT 63372 1632 23 way way NN 63372 1632 24 you -PRON- PRP 63372 1632 25 perceive perceive VBP 63372 1632 26 ordinary ordinary JJ 63372 1632 27 time time NN 63372 1632 28 intervals interval NNS 63372 1632 29 -- -- : 63372 1632 30 with with IN 63372 1632 31 the the DT 63372 1632 32 reservation reservation NN 63372 1632 33 that that IN 63372 1632 34 they -PRON- PRP 63372 1632 35 are be VBP 63372 1632 36 imaginary imaginary JJ 63372 1632 37 , , , 63372 1632 38 after after RB 63372 1632 39 all all RB 63372 1632 40 , , , 63372 1632 41 just just RB 63372 1632 42 like like IN 63372 1632 43 your -PRON- PRP$ 63372 1632 44 space space NN 63372 1632 45 axes axis NNS 63372 1632 46 , , , 63372 1632 47 and and CC 63372 1632 48 that that IN 63372 1632 49 you -PRON- PRP 63372 1632 50 must must MD 63372 1632 51 only only RB 63372 1632 52 expect expect VB 63372 1632 53 to to TO 63372 1632 54 see see VB 63372 1632 55 them -PRON- PRP 63372 1632 56 in in IN 63372 1632 57 imagination imagination NN 63372 1632 58 . . . 63372 1633 1 If if IN 63372 1633 2 you -PRON- PRP 63372 1633 3 look look VBP 63372 1633 4 for for IN 63372 1633 5 a a DT 63372 1633 6 fourth fourth JJ 63372 1633 7 axis axis NN 63372 1633 8 in in IN 63372 1633 9 Euclidean Euclidean NNP 63372 1633 10 three three CD 63372 1633 11 - - HYPH 63372 1633 12 space space NN 63372 1633 13 to to TO 63372 1633 14 represent represent VB 63372 1633 15 your -PRON- PRP$ 63372 1633 16 time time NN 63372 1633 17 axis axis RB 63372 1633 18 , , , 63372 1633 19 you -PRON- PRP 63372 1633 20 will will MD 63372 1633 21 of of IN 63372 1633 22 course course NN 63372 1633 23 not not RB 63372 1633 24 find find VB 63372 1633 25 it -PRON- PRP 63372 1633 26 . . . 63372 1634 1 But but CC 63372 1634 2 you -PRON- PRP 63372 1634 3 will will MD 63372 1634 4 by by IN 63372 1634 5 all all DT 63372 1634 6 means mean NNS 63372 1634 7 agree agree VB 63372 1634 8 with with IN 63372 1634 9 me -PRON- PRP 63372 1634 10 that that IN 63372 1634 11 your -PRON- PRP$ 63372 1634 12 time time NN 63372 1634 13 runs run VBZ 63372 1634 14 in in IN 63372 1634 15 a a DT 63372 1634 16 definite definite JJ 63372 1634 17 direction direction NN 63372 1634 18 ; ; , 63372 1634 19 and and CC 63372 1634 20 this this DT 63372 1634 21 it -PRON- PRP 63372 1634 22 is be VBZ 63372 1634 23 that that DT 63372 1634 24 defines define VBZ 63372 1634 25 your -PRON- PRP$ 63372 1634 26 time time NN 63372 1634 27 axis axis RB 63372 1634 28 . . . 63372 1635 1 Einstein Einstein NNP 63372 1635 2 adds add VBZ 63372 1635 3 that that IN 63372 1635 4 if if IN 63372 1635 5 you -PRON- PRP 63372 1635 6 and and CC 63372 1635 7 I -PRON- PRP 63372 1635 8 are be VBP 63372 1635 9 in in IN 63372 1635 10 relative relative JJ 63372 1635 11 motion motion NN 63372 1635 12 , , , 63372 1635 13 my -PRON- PRP$ 63372 1635 14 time time NN 63372 1635 15 does do VBZ 63372 1635 16 not not RB 63372 1635 17 run run VB 63372 1635 18 in in IN 63372 1635 19 quite quite PDT 63372 1635 20 the the DT 63372 1635 21 same same JJ 63372 1635 22 direction direction NN 63372 1635 23 as as IN 63372 1635 24 yours -PRON- PRP 63372 1635 25 . . . 63372 1636 1 How how WRB 63372 1636 2 shall shall MD 63372 1636 3 we -PRON- PRP 63372 1636 4 prove prove VB 63372 1636 5 it -PRON- PRP 63372 1636 6 ? ? . 63372 1637 1 Well well UH 63372 1637 2 , , , 63372 1637 3 how how WRB 63372 1637 4 would would MD 63372 1637 5 we -PRON- PRP 63372 1637 6 prove prove VB 63372 1637 7 it -PRON- PRP 63372 1637 8 if if IN 63372 1637 9 he -PRON- PRP 63372 1637 10 told tell VBD 63372 1637 11 us -PRON- PRP 63372 1637 12 that that IN 63372 1637 13 our -PRON- PRP$ 63372 1637 14 space space NN 63372 1637 15 axes axis NNS 63372 1637 16 did do VBD 63372 1637 17 not not RB 63372 1637 18 run run VB 63372 1637 19 in in IN 63372 1637 20 precisely precisely RB 63372 1637 21 the the DT 63372 1637 22 same same JJ 63372 1637 23 direction direction NN 63372 1637 24 ? ? . 63372 1638 1 Of of RB 63372 1638 2 course course RB 63372 1638 3 we -PRON- PRP 63372 1638 4 could could MD 63372 1638 5 not not RB 63372 1638 6 proceed proceed VB 63372 1638 7 through through IN 63372 1638 8 direct direct JJ 63372 1638 9 measures measure NNS 63372 1638 10 upon upon IN 63372 1638 11 the the DT 63372 1638 12 axes axis NNS 63372 1638 13 themselves -PRON- PRP 63372 1638 14 ; ; : 63372 1638 15 we -PRON- PRP 63372 1638 16 know know VBP 63372 1638 17 these these DT 63372 1638 18 are be VBP 63372 1638 19 imaginary imaginary JJ 63372 1638 20 . . . 63372 1639 1 What what WP 63372 1639 2 we -PRON- PRP 63372 1639 3 should should MD 63372 1639 4 do do VB 63372 1639 5 would would MD 63372 1639 6 be be VB 63372 1639 7 to to TO 63372 1639 8 strike strike VB 63372 1639 9 out out RP 63372 1639 10 , , , 63372 1639 11 each each DT 63372 1639 12 of of IN 63372 1639 13 us -PRON- PRP 63372 1639 14 , , , 63372 1639 15 a a DT 63372 1639 16 very very RB 63372 1639 17 long long JJ 63372 1639 18 line line NN 63372 1639 19 indeed indeed RB 63372 1639 20 in in IN 63372 1639 21 what what WP 63372 1639 22 seemed seem VBD 63372 1639 23 the the DT 63372 1639 24 true true JJ 63372 1639 25 horizontal horizontal JJ 63372 1639 26 direction direction NN 63372 1639 27 ; ; : 63372 1639 28 and and CC 63372 1639 29 we -PRON- PRP 63372 1639 30 should should MD 63372 1639 31 hope hope VB 63372 1639 32 that that IN 63372 1639 33 if if IN 63372 1639 34 we -PRON- PRP 63372 1639 35 made make VBD 63372 1639 36 them -PRON- PRP 63372 1639 37 long long JJ 63372 1639 38 enough enough RB 63372 1639 39 , , , 63372 1639 40 and and CC 63372 1639 41 measured measure VBD 63372 1639 42 them -PRON- PRP 63372 1639 43 accurately accurately RB 63372 1639 44 enough enough RB 63372 1639 45 , , , 63372 1639 46 we -PRON- PRP 63372 1639 47 should should MD 63372 1639 48 be be VB 63372 1639 49 able able JJ 63372 1639 50 to to TO 63372 1639 51 detect detect VB 63372 1639 52 any any DT 63372 1639 53 divergence divergence NN 63372 1639 54 that that WDT 63372 1639 55 might may MD 63372 1639 56 exist exist VB 63372 1639 57 . . . 63372 1640 1 This this DT 63372 1640 2 is be VBZ 63372 1640 3 precisely precisely RB 63372 1640 4 what what WP 63372 1640 5 we -PRON- PRP 63372 1640 6 must must MD 63372 1640 7 do do VB 63372 1640 8 with with IN 63372 1640 9 our -PRON- PRP$ 63372 1640 10 time time NN 63372 1640 11 axes axis NNS 63372 1640 12 if if IN 63372 1640 13 we -PRON- PRP 63372 1640 14 wish wish VBP 63372 1640 15 to to TO 63372 1640 16 verify verify VB 63372 1640 17 Einstein Einstein NNP 63372 1640 18 's 's POS 63372 1640 19 statement statement NN 63372 1640 20 that that IN 63372 1640 21 they -PRON- PRP 63372 1640 22 are be VBP 63372 1640 23 not not RB 63372 1640 24 precisely precisely RB 63372 1640 25 parallel parallel JJ 63372 1640 26 ; ; : 63372 1640 27 and and CC 63372 1640 28 what what WP 63372 1640 29 better well JJR 63372 1640 30 evidence evidence NN 63372 1640 31 could could MD 63372 1640 32 we -PRON- PRP 63372 1640 33 demand demand VB 63372 1640 34 of of IN 63372 1640 35 the the DT 63372 1640 36 truth truth NN 63372 1640 37 of of IN 63372 1640 38 this this DT 63372 1640 39 statement statement NN 63372 1640 40 than than IN 63372 1640 41 the the DT 63372 1640 42 evidence evidence NN 63372 1640 43 already already RB 63372 1640 44 presented present VBD 63372 1640 45 -- -- : 63372 1640 46 that that IN 63372 1640 47 when when WRB 63372 1640 48 we -PRON- PRP 63372 1640 49 measure measure VBP 63372 1640 50 our -PRON- PRP$ 63372 1640 51 respective respective JJ 63372 1640 52 time time NN 63372 1640 53 components component NNS 63372 1640 54 between between IN 63372 1640 55 two two CD 63372 1640 56 events event NNS 63372 1640 57 , , , 63372 1640 58 we -PRON- PRP 63372 1640 59 get get VBP 63372 1640 60 different different JJ 63372 1640 61 results result NNS 63372 1640 62 ? ? . 63372 1641 1 WHAT what WP 63372 1641 2 IT it NN 63372 1641 3 ALL all DT 63372 1641 4 LEADS leads VBP 63372 1641 5 TO to IN 63372 1641 6 The the DT 63372 1641 7 preceding precede VBG 63372 1641 8 chapters chapter NNS 63372 1641 9 have have VBP 63372 1641 10 been be VBN 63372 1641 11 compiled compile VBN 63372 1641 12 and and CC 63372 1641 13 written write VBN 63372 1641 14 with with IN 63372 1641 15 a a DT 63372 1641 16 view view NN 63372 1641 17 to to IN 63372 1641 18 putting put VBG 63372 1641 19 the the DT 63372 1641 20 reader reader NN 63372 1641 21 in in IN 63372 1641 22 a a DT 63372 1641 23 state state NN 63372 1641 24 of of IN 63372 1641 25 mind mind NN 63372 1641 26 and and CC 63372 1641 27 in in IN 63372 1641 28 a a DT 63372 1641 29 state state NN 63372 1641 30 of of IN 63372 1641 31 informedness informedness NN 63372 1641 32 which which WDT 63372 1641 33 shall shall MD 63372 1641 34 enable enable VB 63372 1641 35 him -PRON- PRP 63372 1641 36 to to TO 63372 1641 37 derive derive VB 63372 1641 38 profit profit NN 63372 1641 39 from from IN 63372 1641 40 the the DT 63372 1641 41 reading reading NN 63372 1641 42 of of IN 63372 1641 43 the the DT 63372 1641 44 actual actual JJ 63372 1641 45 competing compete VBG 63372 1641 46 essays essay NNS 63372 1641 47 which which WDT 63372 1641 48 make make VBP 63372 1641 49 up up RP 63372 1641 50 the the DT 63372 1641 51 balance balance NN 63372 1641 52 of of IN 63372 1641 53 the the DT 63372 1641 54 book book NN 63372 1641 55 . . . 63372 1642 1 For for IN 63372 1642 2 this this DT 63372 1642 3 purpose purpose NN 63372 1642 4 it -PRON- PRP 63372 1642 5 has have VBZ 63372 1642 6 been be VBN 63372 1642 7 profitable profitable JJ 63372 1642 8 to to TO 63372 1642 9 take take VB 63372 1642 10 up up RP 63372 1642 11 in in IN 63372 1642 12 detail detail NN 63372 1642 13 the the DT 63372 1642 14 preliminaries preliminary NNS 63372 1642 15 of of IN 63372 1642 16 the the DT 63372 1642 17 Special Special NNP 63372 1642 18 Theory Theory NNP 63372 1642 19 of of IN 63372 1642 20 Relativity Relativity NNP 63372 1642 21 , , , 63372 1642 22 and and CC 63372 1642 23 to to TO 63372 1642 24 allow allow VB 63372 1642 25 the the DT 63372 1642 26 General General NNP 63372 1642 27 Theory Theory NNP 63372 1642 28 to to TO 63372 1642 29 go go VB 63372 1642 30 by by IN 63372 1642 31 default default NN 63372 1642 32 , , , 63372 1642 33 in in IN 63372 1642 34 spite spite NN 63372 1642 35 of of IN 63372 1642 36 the the DT 63372 1642 37 fact fact NN 63372 1642 38 that that IN 63372 1642 39 it -PRON- PRP 63372 1642 40 is be VBZ 63372 1642 41 the the DT 63372 1642 42 latter latter JJ 63372 1642 43 which which WDT 63372 1642 44 constitutes constitute VBZ 63372 1642 45 Einstein Einstein NNP 63372 1642 46 's 's POS 63372 1642 47 contribution contribution NN 63372 1642 48 of of IN 63372 1642 49 importance importance NN 63372 1642 50 to to IN 63372 1642 51 science science NN 63372 1642 52 . . . 63372 1643 1 The the DT 63372 1643 2 reason reason NN 63372 1643 3 for for IN 63372 1643 4 this this DT 63372 1643 5 is be VBZ 63372 1643 6 precisely precisely RB 63372 1643 7 the the DT 63372 1643 8 same same JJ 63372 1643 9 as as IN 63372 1643 10 that that DT 63372 1643 11 for for IN 63372 1643 12 taking take VBG 63372 1643 13 up up RP 63372 1643 14 Euclidean Euclidean NNP 63372 1643 15 geometry geometry NN 63372 1643 16 and and CC 63372 1643 17 mastering master VBG 63372 1643 18 it -PRON- PRP 63372 1643 19 before before IN 63372 1643 20 proceeding proceed VBG 63372 1643 21 to to IN 63372 1643 22 the the DT 63372 1643 23 study study NN 63372 1643 24 of of IN 63372 1643 25 Newtonian newtonian JJ 63372 1643 26 mechanics mechanic NNS 63372 1643 27 . . . 63372 1644 1 The the DT 63372 1644 2 fundamental fundamental JJ 63372 1644 3 ideas idea NNS 63372 1644 4 of of IN 63372 1644 5 the the DT 63372 1644 6 two two CD 63372 1644 7 theories theory NNS 63372 1644 8 , , , 63372 1644 9 while while IN 63372 1644 10 by by IN 63372 1644 11 no no DT 63372 1644 12 means means NN 63372 1644 13 identical identical JJ 63372 1644 14 , , , 63372 1644 15 are be VBP 63372 1644 16 in in IN 63372 1644 17 general general JJ 63372 1644 18 terms term NNS 63372 1644 19 the the DT 63372 1644 20 same same JJ 63372 1644 21 ; ; : 63372 1644 22 and and CC 63372 1644 23 the the DT 63372 1644 24 conditions condition NNS 63372 1644 25 surrounding surround VBG 63372 1644 26 their -PRON- PRP$ 63372 1644 27 application application NN 63372 1644 28 to to IN 63372 1644 29 the the DT 63372 1644 30 Special Special NNP 63372 1644 31 Theory Theory NNP 63372 1644 32 are be VBP 63372 1644 33 so so RB 63372 1644 34 very very RB 63372 1644 35 much much RB 63372 1644 36 simpler simple JJR 63372 1644 37 than than IN 63372 1644 38 those those DT 63372 1644 39 which which WDT 63372 1644 40 confront confront VBP 63372 1644 41 us -PRON- PRP 63372 1644 42 when when WRB 63372 1644 43 we -PRON- PRP 63372 1644 44 apply apply VBP 63372 1644 45 them -PRON- PRP 63372 1644 46 to to IN 63372 1644 47 the the DT 63372 1644 48 more more RBR 63372 1644 49 general general JJ 63372 1644 50 case case NN 63372 1644 51 , , , 63372 1644 52 that that IN 63372 1644 53 this this DT 63372 1644 54 may may MD 63372 1644 55 be be VB 63372 1644 56 taken take VBN 63372 1644 57 as as IN 63372 1644 58 the the DT 63372 1644 59 controlling control VBG 63372 1644 60 factor factor NN 63372 1644 61 in in IN 63372 1644 62 a a DT 63372 1644 63 popular popular JJ 63372 1644 64 presentation presentation NN 63372 1644 65 . . . 63372 1645 1 We -PRON- PRP 63372 1645 2 can can MD 63372 1645 3 not not RB 63372 1645 4 omit omit VB 63372 1645 5 the the DT 63372 1645 6 General General NNP 63372 1645 7 Theory Theory NNP 63372 1645 8 from from IN 63372 1645 9 consideration consideration NN 63372 1645 10 , , , 63372 1645 11 of of IN 63372 1645 12 course course NN 63372 1645 13 ; ; : 63372 1645 14 but but CC 63372 1645 15 we -PRON- PRP 63372 1645 16 can can MD 63372 1645 17 omit omit VB 63372 1645 18 it -PRON- PRP 63372 1645 19 from from IN 63372 1645 20 our -PRON- PRP$ 63372 1645 21 preliminary preliminary JJ 63372 1645 22 discussion discussion NN 63372 1645 23 , , , 63372 1645 24 and and CC 63372 1645 25 leave leave VB 63372 1645 26 its -PRON- PRP$ 63372 1645 27 development development NN 63372 1645 28 to to IN 63372 1645 29 the the DT 63372 1645 30 complete complete JJ 63372 1645 31 essays essay NNS 63372 1645 32 which which WDT 63372 1645 33 follow follow VBP 63372 1645 34 , , , 63372 1645 35 and and CC 63372 1645 36 which which WDT 63372 1645 37 in in IN 63372 1645 38 almost almost RB 63372 1645 39 every every DT 63372 1645 40 case case NN 63372 1645 41 give give VB 63372 1645 42 it -PRON- PRP 63372 1645 43 the the DT 63372 1645 44 larger large JJR 63372 1645 45 half half NN 63372 1645 46 of of IN 63372 1645 47 their -PRON- PRP$ 63372 1645 48 space space NN 63372 1645 49 which which WDT 63372 1645 50 its -PRON- PRP$ 63372 1645 51 larger large JJR 63372 1645 52 content content NN 63372 1645 53 demands demand NNS 63372 1645 54 . . . 63372 1646 1 In in IN 63372 1646 2 the the DT 63372 1646 3 process process NN 63372 1646 4 of of IN 63372 1646 5 the the DT 63372 1646 6 slow slow JJ 63372 1646 7 and and CC 63372 1646 8 difficult difficult JJ 63372 1646 9 preparation preparation NN 63372 1646 10 of of IN 63372 1646 11 the the DT 63372 1646 12 lay lay JJ 63372 1646 13 mind mind NN 63372 1646 14 for for IN 63372 1646 15 the the DT 63372 1646 16 assimilation assimilation NN 63372 1646 17 of of IN 63372 1646 18 an an DT 63372 1646 19 altogether altogether RB 63372 1646 20 new new JJ 63372 1646 21 set set NN 63372 1646 22 of of IN 63372 1646 23 fundamental fundamental JJ 63372 1646 24 ideas idea NNS 63372 1646 25 , , , 63372 1646 26 it -PRON- PRP 63372 1646 27 is be VBZ 63372 1646 28 altogether altogether RB 63372 1646 29 desirable desirable JJ 63372 1646 30 to to TO 63372 1646 31 give give VB 63372 1646 32 the the DT 63372 1646 33 Special Special NNP 63372 1646 34 Theory Theory NNP 63372 1646 35 , , , 63372 1646 36 with with IN 63372 1646 37 its -PRON- PRP$ 63372 1646 38 simpler simple JJR 63372 1646 39 applications application NNS 63372 1646 40 of of IN 63372 1646 41 these these DT 63372 1646 42 ideas idea NNS 63372 1646 43 , , , 63372 1646 44 a a DT 63372 1646 45 place place NN 63372 1646 46 out out IN 63372 1646 47 of of IN 63372 1646 48 proportion proportion NN 63372 1646 49 to to IN 63372 1646 50 its -PRON- PRP$ 63372 1646 51 importance importance NN 63372 1646 52 in in IN 63372 1646 53 Einstein Einstein NNP 63372 1646 54 's 's POS 63372 1646 55 completed complete VBN 63372 1646 56 structure structure NN 63372 1646 57 ; ; : 63372 1646 58 and and CC 63372 1646 59 this this DT 63372 1646 60 we -PRON- PRP 63372 1646 61 have have VBP 63372 1646 62 therefore therefore RB 63372 1646 63 done do VBN 63372 1646 64 . . . 63372 1647 1 The the DT 63372 1647 2 Special Special NNP 63372 1647 3 Theory Theory NNP 63372 1647 4 , , , 63372 1647 5 postulating postulate VBG 63372 1647 6 the the DT 63372 1647 7 relativity relativity NN 63372 1647 8 of of IN 63372 1647 9 uniform uniform JJ 63372 1647 10 motion motion NN 63372 1647 11 and and CC 63372 1647 12 deducing deduce VBG 63372 1647 13 the the DT 63372 1647 14 consequences consequence NNS 63372 1647 15 of of IN 63372 1647 16 that that DT 63372 1647 17 relativity relativity NN 63372 1647 18 , , , 63372 1647 19 is be VBZ 63372 1647 20 often often RB 63372 1647 21 referred refer VBN 63372 1647 22 to to IN 63372 1647 23 as as IN 63372 1647 24 a a DT 63372 1647 25 " " `` 63372 1647 26 special special JJ 63372 1647 27 case case NN 63372 1647 28 " " '' 63372 1647 29 of of IN 63372 1647 30 the the DT 63372 1647 31 General General NNP 63372 1647 32 Theory Theory NNP 63372 1647 33 , , , 63372 1647 34 in in IN 63372 1647 35 which which WDT 63372 1647 36 this this DT 63372 1647 37 restriction restriction NN 63372 1647 38 of of IN 63372 1647 39 uniformity uniformity NN 63372 1647 40 is be VBZ 63372 1647 41 removed remove VBN 63372 1647 42 . . . 63372 1648 1 This this DT 63372 1648 2 is be VBZ 63372 1648 3 not not RB 63372 1648 4 strictly strictly RB 63372 1648 5 speaking speak VBG 63372 1648 6 correct correct JJ 63372 1648 7 . . . 63372 1649 1 The the DT 63372 1649 2 General General NNP 63372 1649 3 Theory Theory NNP 63372 1649 4 , , , 63372 1649 5 when when WRB 63372 1649 6 we -PRON- PRP 63372 1649 7 have have VBP 63372 1649 8 formulated formulate VBN 63372 1649 9 it -PRON- PRP 63372 1649 10 , , , 63372 1649 11 will will MD 63372 1649 12 call call VB 63372 1649 13 our -PRON- PRP$ 63372 1649 14 attention attention NN 63372 1649 15 to to IN 63372 1649 16 something something NN 63372 1649 17 which which WDT 63372 1649 18 we -PRON- PRP 63372 1649 19 really really RB 63372 1649 20 knew know VBD 63372 1649 21 all all PDT 63372 1649 22 the the DT 63372 1649 23 time time NN 63372 1649 24 , , , 63372 1649 25 but but CC 63372 1649 26 to to TO 63372 1649 27 which which WDT 63372 1649 28 we -PRON- PRP 63372 1649 29 chose choose VBD 63372 1649 30 not not RB 63372 1649 31 to to TO 63372 1649 32 give give VB 63372 1649 33 heed heed NN 63372 1649 34 -- -- : 63372 1649 35 that that IN 63372 1649 36 in in IN 63372 1649 37 the the DT 63372 1649 38 regions region NNS 63372 1649 39 of of IN 63372 1649 40 space space NN 63372 1649 41 to to TO 63372 1649 42 which which WDT 63372 1649 43 we -PRON- PRP 63372 1649 44 have have VBP 63372 1649 45 access access NN 63372 1649 46 , , , 63372 1649 47 uniform uniform JJ 63372 1649 48 motion motion NN 63372 1649 49 does do VBZ 63372 1649 50 not not RB 63372 1649 51 exist exist VB 63372 1649 52 . . . 63372 1650 1 All all DT 63372 1650 2 bodies body NNS 63372 1650 3 in in IN 63372 1650 4 these these DT 63372 1650 5 regions region NNS 63372 1650 6 are be VBP 63372 1650 7 under under IN 63372 1650 8 the the DT 63372 1650 9 gravitational gravitational JJ 63372 1650 10 influence influence NN 63372 1650 11 of of IN 63372 1650 12 the the DT 63372 1650 13 other other JJ 63372 1650 14 bodies body NNS 63372 1650 15 therein therein RB 63372 1650 16 , , , 63372 1650 17 and and CC 63372 1650 18 this this DT 63372 1650 19 influence influence NN 63372 1650 20 leads lead VBZ 63372 1650 21 to to IN 63372 1650 22 accelerated accelerated JJ 63372 1650 23 motion motion NN 63372 1650 24 . . . 63372 1651 1 Nothing nothing NN 63372 1651 2 in in IN 63372 1651 3 our -PRON- PRP$ 63372 1651 4 universe universe NN 63372 1651 5 can can MD 63372 1651 6 possibly possibly RB 63372 1651 7 travel travel VB 63372 1651 8 at at IN 63372 1651 9 uniform uniform JJ 63372 1651 10 velocity velocity NN 63372 1651 11 ; ; : 63372 1651 12 the the DT 63372 1651 13 interference interference NN 63372 1651 14 of of IN 63372 1651 15 the the DT 63372 1651 16 rest rest NN 63372 1651 17 of of IN 63372 1651 18 the the DT 63372 1651 19 bodies body NNS 63372 1651 20 in in IN 63372 1651 21 the the DT 63372 1651 22 universe universe JJ 63372 1651 23 prevents prevent VBZ 63372 1651 24 this this DT 63372 1651 25 . . . 63372 1652 1 Obviously obviously RB 63372 1652 2 , , , 63372 1652 3 we -PRON- PRP 63372 1652 4 ought ought MD 63372 1652 5 not not RB 63372 1652 6 to to TO 63372 1652 7 apply apply VB 63372 1652 8 the the DT 63372 1652 9 term term NN 63372 1652 10 " " `` 63372 1652 11 special special JJ 63372 1652 12 case case NN 63372 1652 13 " " '' 63372 1652 14 to to IN 63372 1652 15 a a DT 63372 1652 16 case case NN 63372 1652 17 that that WDT 63372 1652 18 never never RB 63372 1652 19 occurs occur VBZ 63372 1652 20 . . . 63372 1653 1 Nevertheless nevertheless RB 63372 1653 2 , , , 63372 1653 3 this this DT 63372 1653 4 case case NN 63372 1653 5 is be VBZ 63372 1653 6 of of IN 63372 1653 7 extreme extreme JJ 63372 1653 8 value value NN 63372 1653 9 to to IN 63372 1653 10 us -PRON- PRP 63372 1653 11 in in IN 63372 1653 12 our -PRON- PRP$ 63372 1653 13 mental mental JJ 63372 1653 14 processes process NNS 63372 1653 15 . . . 63372 1654 1 Many many JJ 63372 1654 2 of of IN 63372 1654 3 the the DT 63372 1654 4 motions motion NNS 63372 1654 5 with with IN 63372 1654 6 which which WDT 63372 1654 7 we -PRON- PRP 63372 1654 8 are be VBP 63372 1654 9 concerned concerned JJ 63372 1654 10 are be VBP 63372 1654 11 so so RB 63372 1654 12 nearly nearly RB 63372 1654 13 at at IN 63372 1654 14 constant constant JJ 63372 1654 15 velocity velocity NN 63372 1654 16 that that WDT 63372 1654 17 we -PRON- PRP 63372 1654 18 find find VBP 63372 1654 19 it -PRON- PRP 63372 1654 20 convenient convenient JJ 63372 1654 21 to to TO 63372 1654 22 treat treat VB 63372 1654 23 them -PRON- PRP 63372 1654 24 as as IN 63372 1654 25 though though IN 63372 1654 26 they -PRON- PRP 63372 1654 27 were be VBD 63372 1654 28 uniform uniform JJ 63372 1654 29 , , , 63372 1654 30 either either CC 63372 1654 31 ignoring ignore VBG 63372 1654 32 the the DT 63372 1654 33 resulting result VBG 63372 1654 34 error error NN 63372 1654 35 or or CC 63372 1654 36 correcting correct VBG 63372 1654 37 for for IN 63372 1654 38 it -PRON- PRP 63372 1654 39 at at IN 63372 1654 40 the the DT 63372 1654 41 end end NN 63372 1654 42 of of IN 63372 1654 43 our -PRON- PRP$ 63372 1654 44 work work NN 63372 1654 45 . . . 63372 1655 1 In in IN 63372 1655 2 many many JJ 63372 1655 3 other other JJ 63372 1655 4 cases case NNS 63372 1655 5 we -PRON- PRP 63372 1655 6 are be VBP 63372 1655 7 able able JJ 63372 1655 8 to to TO 63372 1655 9 learn learn VB 63372 1655 10 what what WP 63372 1655 11 actually actually RB 63372 1655 12 occurs occur VBZ 63372 1655 13 under under IN 63372 1655 14 accelerated accelerate VBN 63372 1655 15 motion motion NN 63372 1655 16 by by IN 63372 1655 17 considering consider VBG 63372 1655 18 what what WP 63372 1655 19 would would MD 63372 1655 20 have have VB 63372 1655 21 occurred occur VBN 63372 1655 22 under under IN 63372 1655 23 uniform uniform JJ 63372 1655 24 motion motion NN 63372 1655 25 were be VBD 63372 1655 26 such such PDT 63372 1655 27 a a DT 63372 1655 28 thing thing NN 63372 1655 29 possible possible JJ 63372 1655 30 . . . 63372 1656 1 Science science NN 63372 1656 2 is be VBZ 63372 1656 3 full full JJ 63372 1656 4 of of IN 63372 1656 5 complications complication NNS 63372 1656 6 which which WDT 63372 1656 7 we -PRON- PRP 63372 1656 8 unravel unravel VBP 63372 1656 9 in in IN 63372 1656 10 this this DT 63372 1656 11 fashion fashion NN 63372 1656 12 . . . 63372 1657 1 The the DT 63372 1657 2 physicist physicist JJ 63372 1657 3 deals deal NNS 63372 1657 4 with with IN 63372 1657 5 gas gas NN 63372 1657 6 pressures pressure NNS 63372 1657 7 by by IN 63372 1657 8 assuming assume VBG 63372 1657 9 temperatures temperature NNS 63372 1657 10 to to TO 63372 1657 11 be be VB 63372 1657 12 constant constant JJ 63372 1657 13 , , , 63372 1657 14 though though IN 63372 1657 15 he -PRON- PRP 63372 1657 16 knows know VBZ 63372 1657 17 temperature temperature NN 63372 1657 18 never never RB 63372 1657 19 is be VBZ 63372 1657 20 constant constant JJ 63372 1657 21 ; ; : 63372 1657 22 and and CC 63372 1657 23 in in IN 63372 1657 24 turn turn NN 63372 1657 25 he -PRON- PRP 63372 1657 26 deals deal VBZ 63372 1657 27 with with IN 63372 1657 28 temperatures temperature NNS 63372 1657 29 by by IN 63372 1657 30 assuming assume VBG 63372 1657 31 pressures pressure NNS 63372 1657 32 to to TO 63372 1657 33 be be VB 63372 1657 34 constant constant JJ 63372 1657 35 . . . 63372 1658 1 After after IN 63372 1658 2 this this DT 63372 1658 3 , , , 63372 1658 4 he -PRON- PRP 63372 1658 5 is be VBZ 63372 1658 6 able able JJ 63372 1658 7 to to TO 63372 1658 8 predict predict VB 63372 1658 9 what what WP 63372 1658 10 will will MD 63372 1658 11 happen happen VB 63372 1658 12 when when WRB 63372 1658 13 , , , 63372 1658 14 as as IN 63372 1658 15 in in IN 63372 1658 16 nature nature NN 63372 1658 17 , , , 63372 1658 18 pressures pressure NNS 63372 1658 19 and and CC 63372 1658 20 temperatures temperature NNS 63372 1658 21 are be VBP 63372 1658 22 varying vary VBG 63372 1658 23 simultaneously simultaneously RB 63372 1658 24 . . . 63372 1659 1 By by IN 63372 1659 2 using use VBG 63372 1659 3 as as IN 63372 1659 4 a a DT 63372 1659 5 channel channel NN 63372 1659 6 of of IN 63372 1659 7 attack attack NN 63372 1659 8 the the DT 63372 1659 9 artificially artificially RB 63372 1659 10 simple simple JJ 63372 1659 11 case case NN 63372 1659 12 that that WDT 63372 1659 13 never never RB 63372 1659 14 occurs occur VBZ 63372 1659 15 , , , 63372 1659 16 we -PRON- PRP 63372 1659 17 get get VBP 63372 1659 18 a a DT 63372 1659 19 grip grip NN 63372 1659 20 on on IN 63372 1659 21 the the DT 63372 1659 22 complex complex JJ 63372 1659 23 case case NN 63372 1659 24 that that WDT 63372 1659 25 gives give VBZ 63372 1659 26 us -PRON- PRP 63372 1659 27 a a DT 63372 1659 28 true true JJ 63372 1659 29 picture picture NN 63372 1659 30 of of IN 63372 1659 31 the the DT 63372 1659 32 phenomenon phenomenon NN 63372 1659 33 . . . 63372 1660 1 And and CC 63372 1660 2 because because IN 63372 1660 3 in in IN 63372 1660 4 actual actual JJ 63372 1660 5 nature nature NN 63372 1660 6 we -PRON- PRP 63372 1660 7 can can MD 63372 1660 8 come come VB 63372 1660 9 as as RB 63372 1660 10 close close RB 63372 1660 11 as as IN 63372 1660 12 we -PRON- PRP 63372 1660 13 please please VBP 63372 1660 14 to to IN 63372 1660 15 this this DT 63372 1660 16 artificial artificial JJ 63372 1660 17 case case NN 63372 1660 18 , , , 63372 1660 19 by by IN 63372 1660 20 supposing suppose VBG 63372 1660 21 the the DT 63372 1660 22 variable variable JJ 63372 1660 23 factor factor NN 63372 1660 24 to to TO 63372 1660 25 approach approach VB 63372 1660 26 constancy constancy NN 63372 1660 27 , , , 63372 1660 28 so so CC 63372 1660 29 when when WRB 63372 1660 30 we -PRON- PRP 63372 1660 31 assume assume VBP 63372 1660 32 it -PRON- PRP 63372 1660 33 to to TO 63372 1660 34 be be VB 63372 1660 35 absolutely absolutely RB 63372 1660 36 constant constant JJ 63372 1660 37 we -PRON- PRP 63372 1660 38 speak speak VBP 63372 1660 39 of of IN 63372 1660 40 the the DT 63372 1660 41 result result NN 63372 1660 42 as as IN 63372 1660 43 the the DT 63372 1660 44 limiting limiting NN 63372 1660 45 case case NN 63372 1660 46 . . . 63372 1661 1 This this DT 63372 1661 2 situation situation NN 63372 1661 3 does do VBZ 63372 1661 4 not not RB 63372 1661 5 occur occur VB 63372 1661 6 , , , 63372 1661 7 but but CC 63372 1661 8 is be VBZ 63372 1661 9 the the DT 63372 1661 10 limiting limit VBG 63372 1661 11 case case NN 63372 1661 12 for for IN 63372 1661 13 those those DT 63372 1661 14 that that WDT 63372 1661 15 do do VBP 63372 1661 16 occur occur VB 63372 1661 17 . . . 63372 1662 1 When when WRB 63372 1662 2 , , , 63372 1662 3 in in IN 63372 1662 4 the the DT 63372 1662 5 matter matter NN 63372 1662 6 of of IN 63372 1662 7 motion motion NN 63372 1662 8 , , , 63372 1662 9 we -PRON- PRP 63372 1662 10 abandon abandon VBP 63372 1662 11 the the DT 63372 1662 12 artificial artificial NN 63372 1662 13 , , , 63372 1662 14 limiting limit VBG 63372 1662 15 case case NN 63372 1662 16 of of IN 63372 1662 17 uniform uniform JJ 63372 1662 18 velocity velocity NN 63372 1662 19 and and CC 63372 1662 20 look look VB 63372 1662 21 into into IN 63372 1662 22 the the DT 63372 1662 23 general general JJ 63372 1662 24 , , , 63372 1662 25 natural natural JJ 63372 1662 26 one one CD 63372 1662 27 of of IN 63372 1662 28 unrestricted unrestricted JJ 63372 1662 29 motion motion NN 63372 1662 30 , , , 63372 1662 31 we -PRON- PRP 63372 1662 32 find find VBP 63372 1662 33 that that IN 63372 1662 34 the the DT 63372 1662 35 structure structure NN 63372 1662 36 which which WDT 63372 1662 37 we -PRON- PRP 63372 1662 38 have have VBP 63372 1662 39 built build VBN 63372 1662 40 up up RP 63372 1662 41 to to TO 63372 1662 42 deal deal VB 63372 1662 43 with with IN 63372 1662 44 the the DT 63372 1662 45 limiting limit VBG 63372 1662 46 case case NN 63372 1662 47 provides provide VBZ 63372 1662 48 us -PRON- PRP 63372 1662 49 with with IN 63372 1662 50 many many JJ 63372 1662 51 of of IN 63372 1662 52 the the DT 63372 1662 53 necessary necessary JJ 63372 1662 54 ideas idea NNS 63372 1662 55 and and CC 63372 1662 56 viewpoints viewpoint NNS 63372 1662 57 . . . 63372 1663 1 This this DT 63372 1663 2 is be VBZ 63372 1663 3 what what WP 63372 1663 4 we -PRON- PRP 63372 1663 5 expect expect VBP 63372 1663 6 -- -- : 63372 1663 7 in in IN 63372 1663 8 it -PRON- PRP 63372 1663 9 lies lie VBZ 63372 1663 10 the the DT 63372 1663 11 value value NN 63372 1663 12 of of IN 63372 1663 13 the the DT 63372 1663 14 limiting limit VBG 63372 1663 15 case case NN 63372 1663 16 . . . 63372 1664 1 We -PRON- PRP 63372 1664 2 shall shall MD 63372 1664 3 see see VB 63372 1664 4 that that IN 63372 1664 5 the the DT 63372 1664 6 relativity relativity NN 63372 1664 7 of of IN 63372 1664 8 time time NN 63372 1664 9 and and CC 63372 1664 10 space space NN 63372 1664 11 , , , 63372 1664 12 established establish VBN 63372 1664 13 for for IN 63372 1664 14 the the DT 63372 1664 15 limiting limit VBG 63372 1664 16 case case NN 63372 1664 17 , , , 63372 1664 18 holds hold VBZ 63372 1664 19 good good JJ 63372 1664 20 in in IN 63372 1664 21 the the DT 63372 1664 22 general general JJ 63372 1664 23 one one CD 63372 1664 24 . . . 63372 1665 1 We -PRON- PRP 63372 1665 2 shall shall MD 63372 1665 3 see see VB 63372 1665 4 that that IN 63372 1665 5 the the DT 63372 1665 6 idea idea NN 63372 1665 7 of of IN 63372 1665 8 the the DT 63372 1665 9 four four CD 63372 1665 10 - - HYPH 63372 1665 11 dimensional dimensional JJ 63372 1665 12 space space NN 63372 1665 13 - - HYPH 63372 1665 14 time time NN 63372 1665 15 continuum continuum NN 63372 1665 16 as as IN 63372 1665 17 representing represent VBG 63372 1665 18 the the DT 63372 1665 19 external external JJ 63372 1665 20 world world NN 63372 1665 21 persists persist VBZ 63372 1665 22 , , , 63372 1665 23 forming form VBG 63372 1665 24 the the DT 63372 1665 25 whole whole JJ 63372 1665 26 background background NN 63372 1665 27 of of IN 63372 1665 28 the the DT 63372 1665 29 General General NNP 63372 1665 30 Theory Theory NNP 63372 1665 31 much much RB 63372 1665 32 more more RBR 63372 1665 33 definitely definitely RB 63372 1665 34 than than IN 63372 1665 35 in in IN 63372 1665 36 the the DT 63372 1665 37 Special Special NNP 63372 1665 38 Theory Theory NNP 63372 1665 39 . . . 63372 1666 1 Incidentally incidentally RB 63372 1666 2 we -PRON- PRP 63372 1666 3 shall shall MD 63372 1666 4 see see VB 63372 1666 5 that that IN 63372 1666 6 the the DT 63372 1666 7 greater great JJR 63372 1666 8 generality generality NN 63372 1666 9 of of IN 63372 1666 10 the the DT 63372 1666 11 case case NN 63372 1666 12 under under IN 63372 1666 13 consideration consideration NN 63372 1666 14 will will MD 63372 1666 15 demand demand VB 63372 1666 16 a a DT 63372 1666 17 greater great JJR 63372 1666 18 degree degree NN 63372 1666 19 of of IN 63372 1666 20 generality generality NN 63372 1666 21 in in IN 63372 1666 22 the the DT 63372 1666 23 geometry geometry NN 63372 1666 24 of of IN 63372 1666 25 this this DT 63372 1666 26 continuum continuum NN 63372 1666 27 , , , 63372 1666 28 a a DT 63372 1666 29 non non NN 63372 1666 30 - - NN 63372 1666 31 Euclideanism euclideanism NN 63372 1666 32 of of IN 63372 1666 33 a a DT 63372 1666 34 much much RB 63372 1666 35 more more RBR 63372 1666 36 whole whole RB 63372 1666 37 - - HYPH 63372 1666 38 hearted hearted JJ 63372 1666 39 type type NN 63372 1666 40 than than IN 63372 1666 41 that that DT 63372 1666 42 of of IN 63372 1666 43 the the DT 63372 1666 44 Special Special NNP 63372 1666 45 Theory Theory NNP 63372 1666 46 . . . 63372 1667 1 But but CC 63372 1667 2 all all PDT 63372 1667 3 the the DT 63372 1667 4 revisions revision NNS 63372 1667 5 of of IN 63372 1667 6 fundamental fundamental JJ 63372 1667 7 concepts concept NNS 63372 1667 8 which which WDT 63372 1667 9 we -PRON- PRP 63372 1667 10 have have VBP 63372 1667 11 been be VBN 63372 1667 12 at at IN 63372 1667 13 such such JJ 63372 1667 14 pains pain NNS 63372 1667 15 to to TO 63372 1667 16 make make VB 63372 1667 17 for for IN 63372 1667 18 the the DT 63372 1667 19 sake sake NN 63372 1667 20 of of IN 63372 1667 21 the the DT 63372 1667 22 Special Special NNP 63372 1667 23 Theory Theory NNP 63372 1667 24 will will MD 63372 1667 25 remain remain VB 63372 1667 26 with with IN 63372 1667 27 us -PRON- PRP 63372 1667 28 in in IN 63372 1667 29 the the DT 63372 1667 30 General General NNP 63372 1667 31 . . . 63372 1668 1 With with IN 63372 1668 2 this this DT 63372 1668 3 we -PRON- PRP 63372 1668 4 may may MD 63372 1668 5 consider consider VB 63372 1668 6 our -PRON- PRP$ 63372 1668 7 preliminary preliminary JJ 63372 1668 8 background background NN 63372 1668 9 as as IN 63372 1668 10 established establish VBN 63372 1668 11 , , , 63372 1668 12 and and CC 63372 1668 13 give give VB 63372 1668 14 our -PRON- PRP$ 63372 1668 15 attention attention NN 63372 1668 16 to to IN 63372 1668 17 the the DT 63372 1668 18 essayists essayist NNS 63372 1668 19 , , , 63372 1668 20 who who WP 63372 1668 21 will will MD 63372 1668 22 try try VB 63372 1668 23 to to TO 63372 1668 24 take take VB 63372 1668 25 us -PRON- PRP 63372 1668 26 more more RBR 63372 1668 27 deeply deeply RB 63372 1668 28 into into IN 63372 1668 29 the the DT 63372 1668 30 subject subject NN 63372 1668 31 than than IN 63372 1668 32 we -PRON- PRP 63372 1668 33 have have VBP 63372 1668 34 yet yet RB 63372 1668 35 gone go VBN 63372 1668 36 , , , 63372 1668 37 without without IN 63372 1668 38 losing lose VBG 63372 1668 39 us -PRON- PRP 63372 1668 40 in in IN 63372 1668 41 its -PRON- PRP$ 63372 1668 42 intricacies intricacy NNS 63372 1668 43 . . . 63372 1669 1 VII VII NNP 63372 1669 2 RELATIVITY RELATIVITY NNP 63372 1669 3 The the DT 63372 1669 4 Winning Winning NNP 63372 1669 5 Essay Essay NNP 63372 1669 6 in in IN 63372 1669 7 the the DT 63372 1669 8 Contest contest NN 63372 1669 9 for for IN 63372 1669 10 the the DT 63372 1669 11 Eugene Eugene NNP 63372 1669 12 Higgins Higgins NNP 63372 1669 13 $ $ $ 63372 1669 14 5,000 5,000 CD 63372 1669 15 Prize Prize NNP 63372 1669 16 BY by IN 63372 1669 17 LYNDON LYNDON NNP 63372 1669 18 BOLTON BOLTON NNP 63372 1669 19 SENIOR SENIOR NNP 63372 1669 20 EXAMINER EXAMINER NNP 63372 1669 21 , , , 63372 1669 22 BRITISH BRITISH NNP 63372 1669 23 PATENT PATENT NNP 63372 1669 24 OFFICE OFFICE VBD 63372 1669 25 LONDON LONDON NNP 63372 1669 26 The the DT 63372 1669 27 reader reader NN 63372 1669 28 is be VBZ 63372 1669 29 probably probably RB 63372 1669 30 acquainted acquaint VBN 63372 1669 31 with with IN 63372 1669 32 the the DT 63372 1669 33 method method NN 63372 1669 34 of of IN 63372 1669 35 specifying specify VBG 63372 1669 36 positions position NNS 63372 1669 37 of of IN 63372 1669 38 points point NNS 63372 1669 39 in in IN 63372 1669 40 a a DT 63372 1669 41 plane plane NN 63372 1669 42 by by IN 63372 1669 43 their -PRON- PRP$ 63372 1669 44 distances distance NNS 63372 1669 45 from from IN 63372 1669 46 two two CD 63372 1669 47 mutually mutually RB 63372 1669 48 perpendicular perpendicular JJ 63372 1669 49 lines line NNS 63372 1669 50 , , , 63372 1669 51 or or CC 63372 1669 52 if if IN 63372 1669 53 the the DT 63372 1669 54 points point NNS 63372 1669 55 are be VBP 63372 1669 56 in in IN 63372 1669 57 space space NN 63372 1669 58 by by IN 63372 1669 59 their -PRON- PRP$ 63372 1669 60 distances distance NNS 63372 1669 61 from from IN 63372 1669 62 three three CD 63372 1669 63 mutually mutually RB 63372 1669 64 perpendicular perpendicular JJ 63372 1669 65 planes plane NNS 63372 1669 66 like like IN 63372 1669 67 adjacent adjacent JJ 63372 1669 68 sides side NNS 63372 1669 69 of of IN 63372 1669 70 a a DT 63372 1669 71 flat flat JJ 63372 1669 72 - - HYPH 63372 1669 73 sided sided JJ 63372 1669 74 box box NN 63372 1669 75 . . . 63372 1670 1 The the DT 63372 1670 2 method method NN 63372 1670 3 is be VBZ 63372 1670 4 in in IN 63372 1670 5 fact fact NN 63372 1670 6 in in IN 63372 1670 7 common common JJ 63372 1670 8 use use NN 63372 1670 9 for for IN 63372 1670 10 exhibiting exhibit VBG 63372 1670 11 relations relation NNS 63372 1670 12 between between IN 63372 1670 13 quantities quantity NNS 63372 1670 14 by by IN 63372 1670 15 graphs graph NNS 63372 1670 16 or or CC 63372 1670 17 diagrams diagram NNS 63372 1670 18 . . . 63372 1671 1 These these DT 63372 1671 2 sets set NNS 63372 1671 3 of of IN 63372 1671 4 axes axis NNS 63372 1671 5 , , , 63372 1671 6 as as IN 63372 1671 7 they -PRON- PRP 63372 1671 8 are be VBP 63372 1671 9 called call VBN 63372 1671 10 , , , 63372 1671 11 together together RB 63372 1671 12 with with IN 63372 1671 13 any any DT 63372 1671 14 scales scale NNS 63372 1671 15 used use VBN 63372 1671 16 for for IN 63372 1671 17 measuring measuring NN 63372 1671 18 , , , 63372 1671 19 must must MD 63372 1671 20 be be VB 63372 1671 21 supposed suppose VBN 63372 1671 22 rigid rigid JJ 63372 1671 23 , , , 63372 1671 24 otherwise otherwise RB 63372 1671 25 the the DT 63372 1671 26 events event NNS 63372 1671 27 or or CC 63372 1671 28 points point NNS 63372 1671 29 which which WDT 63372 1671 30 they -PRON- PRP 63372 1671 31 are be VBP 63372 1671 32 used use VBN 63372 1671 33 to to TO 63372 1671 34 specify specify VB 63372 1671 35 are be VBP 63372 1671 36 indefinite indefinite JJ 63372 1671 37 . . . 63372 1672 1 The the DT 63372 1672 2 lengths length NNS 63372 1672 3 which which WDT 63372 1672 4 locate locate VBP 63372 1672 5 any any DT 63372 1672 6 point point NN 63372 1672 7 with with IN 63372 1672 8 reference reference NN 63372 1672 9 to to IN 63372 1672 10 a a DT 63372 1672 11 set set NN 63372 1672 12 of of IN 63372 1672 13 axes axis NNS 63372 1672 14 are be VBP 63372 1672 15 called call VBN 63372 1672 16 its -PRON- PRP$ 63372 1672 17 coordinates coordinate NNS 63372 1672 18 . . . 63372 1673 1 When when WRB 63372 1673 2 such such JJ 63372 1673 3 systems system NNS 63372 1673 4 are be VBP 63372 1673 5 used use VBN 63372 1673 6 for for IN 63372 1673 7 physical physical JJ 63372 1673 8 purposes purpose NNS 63372 1673 9 , , , 63372 1673 10 they -PRON- PRP 63372 1673 11 must must MD 63372 1673 12 be be VB 63372 1673 13 supplemented supplement VBN 63372 1673 14 by by IN 63372 1673 15 clocks clock NNS 63372 1673 16 to to TO 63372 1673 17 enable enable VB 63372 1673 18 the the DT 63372 1673 19 times time NNS 63372 1673 20 at at IN 63372 1673 21 which which WDT 63372 1673 22 events event NNS 63372 1673 23 occur occur VBP 63372 1673 24 to to TO 63372 1673 25 be be VB 63372 1673 26 determined determine VBN 63372 1673 27 . . . 63372 1674 1 The the DT 63372 1674 2 clocks clock NNS 63372 1674 3 must must MD 63372 1674 4 be be VB 63372 1674 5 synchronized synchronize VBN 63372 1674 6 , , , 63372 1674 7 and and CC 63372 1674 8 must must MD 63372 1674 9 go go VB 63372 1674 10 at at IN 63372 1674 11 the the DT 63372 1674 12 same same JJ 63372 1674 13 rate rate NN 63372 1674 14 , , , 63372 1674 15 but but CC 63372 1674 16 it -PRON- PRP 63372 1674 17 must must MD 63372 1674 18 suffice suffice VB 63372 1674 19 here here RB 63372 1674 20 to to TO 63372 1674 21 state state VB 63372 1674 22 that that IN 63372 1674 23 this this DT 63372 1674 24 is be VBZ 63372 1674 25 possible possible JJ 63372 1674 26 without without IN 63372 1674 27 indicating indicate VBG 63372 1674 28 how how WRB 63372 1674 29 these these DT 63372 1674 30 conditions condition NNS 63372 1674 31 can can MD 63372 1674 32 be be VB 63372 1674 33 attained attain VBN 63372 1674 34 . . . 63372 1675 1 A a DT 63372 1675 2 system system NN 63372 1675 3 of of IN 63372 1675 4 axes axis NNS 63372 1675 5 with with IN 63372 1675 6 its -PRON- PRP$ 63372 1675 7 clocks clock NNS 63372 1675 8 will will MD 63372 1675 9 hereinafter hereinafter VB 63372 1675 10 be be VB 63372 1675 11 called call VBN 63372 1675 12 a a DT 63372 1675 13 Frame Frame NNP 63372 1675 14 of of IN 63372 1675 15 Reference Reference NNP 63372 1675 16 , , , 63372 1675 17 and and CC 63372 1675 18 every every DT 63372 1675 19 observer observer NN 63372 1675 20 will will MD 63372 1675 21 be be VB 63372 1675 22 supposed suppose VBN 63372 1675 23 to to TO 63372 1675 24 be be VB 63372 1675 25 provided provide VBN 63372 1675 26 with with IN 63372 1675 27 such such PDT 63372 1675 28 a a DT 63372 1675 29 frame frame NN 63372 1675 30 partaking partaking NN 63372 1675 31 of of IN 63372 1675 32 his -PRON- PRP$ 63372 1675 33 motion motion NN 63372 1675 34 . . . 63372 1676 1 All all PDT 63372 1676 2 the the DT 63372 1676 3 objects object NNS 63372 1676 4 which which WDT 63372 1676 5 partake partake NN 63372 1676 6 of of IN 63372 1676 7 an an DT 63372 1676 8 observer observer NN 63372 1676 9 's 's POS 63372 1676 10 motion motion NN 63372 1676 11 will will MD 63372 1676 12 be be VB 63372 1676 13 called call VBN 63372 1676 14 his -PRON- PRP$ 63372 1676 15 system system NN 63372 1676 16 . . . 63372 1677 1 It -PRON- PRP 63372 1677 2 is be VBZ 63372 1677 3 a a DT 63372 1677 4 question question NN 63372 1677 5 whether whether IN 63372 1677 6 among among IN 63372 1677 7 all all DT 63372 1677 8 possible possible JJ 63372 1677 9 frames frame NNS 63372 1677 10 of of IN 63372 1677 11 reference reference NN 63372 1677 12 any any DT 63372 1677 13 one one CD 63372 1677 14 frame frame NN 63372 1677 15 or or CC 63372 1677 16 class class NN 63372 1677 17 of of IN 63372 1677 18 frames frame NNS 63372 1677 19 is be VBZ 63372 1677 20 more more RBR 63372 1677 21 suited suited JJ 63372 1677 22 than than IN 63372 1677 23 another another DT 63372 1677 24 for for IN 63372 1677 25 the the DT 63372 1677 26 mathematical mathematical JJ 63372 1677 27 statement statement NN 63372 1677 28 of of IN 63372 1677 29 physical physical JJ 63372 1677 30 laws law NNS 63372 1677 31 . . . 63372 1678 1 This this DT 63372 1678 2 is be VBZ 63372 1678 3 for for IN 63372 1678 4 experience experience NN 63372 1678 5 to to TO 63372 1678 6 decide decide VB 63372 1678 7 , , , 63372 1678 8 and and CC 63372 1678 9 a a DT 63372 1678 10 Principle Principle NNP 63372 1678 11 of of IN 63372 1678 12 Relativity Relativity NNP 63372 1678 13 is be VBZ 63372 1678 14 a a DT 63372 1678 15 statement statement NN 63372 1678 16 embodying embody VBG 63372 1678 17 the the DT 63372 1678 18 answer answer NN 63372 1678 19 . . . 63372 1679 1 THE the DT 63372 1679 2 MECHANICAL MECHANICAL NNP 63372 1679 3 PRINCIPLE PRINCIPLE NNP 63372 1679 4 OF of IN 63372 1679 5 RELATIVITY RELATIVITY NNP 63372 1679 6 It -PRON- PRP 63372 1679 7 has have VBZ 63372 1679 8 been be VBN 63372 1679 9 ascertained ascertain VBN 63372 1679 10 that that IN 63372 1679 11 all all DT 63372 1679 12 such such JJ 63372 1679 13 frames frame NNS 63372 1679 14 are be VBP 63372 1679 15 equally equally RB 63372 1679 16 suitable suitable JJ 63372 1679 17 for for IN 63372 1679 18 the the DT 63372 1679 19 mathematical mathematical JJ 63372 1679 20 statement statement NN 63372 1679 21 of of IN 63372 1679 22 general general JJ 63372 1679 23 mechanical mechanical JJ 63372 1679 24 laws law NNS 63372 1679 25 , , , 63372 1679 26 provided provide VBD 63372 1679 27 that that IN 63372 1679 28 their -PRON- PRP$ 63372 1679 29 motion motion NN 63372 1679 30 is be VBZ 63372 1679 31 rectilinear rectilinear JJ 63372 1679 32 and and CC 63372 1679 33 uniform uniform JJ 63372 1679 34 and and CC 63372 1679 35 without without IN 63372 1679 36 rotation rotation NN 63372 1679 37 . . . 63372 1680 1 This this DT 63372 1680 2 fact fact NN 63372 1680 3 is be VBZ 63372 1680 4 comprehended comprehend VBN 63372 1680 5 in in IN 63372 1680 6 the the DT 63372 1680 7 general general JJ 63372 1680 8 statement statement NN 63372 1680 9 that that IN 63372 1680 10 all all DT 63372 1680 11 unaccelerated unaccelerated JJ 63372 1680 12 frames frame NNS 63372 1680 13 of of IN 63372 1680 14 reference reference NN 63372 1680 15 are be VBP 63372 1680 16 equivalent equivalent JJ 63372 1680 17 for for IN 63372 1680 18 the the DT 63372 1680 19 statement statement NN 63372 1680 20 of of IN 63372 1680 21 the the DT 63372 1680 22 general general JJ 63372 1680 23 laws law NNS 63372 1680 24 of of IN 63372 1680 25 mechanics mechanic NNS 63372 1680 26 . . . 63372 1681 1 This this DT 63372 1681 2 is be VBZ 63372 1681 3 the the DT 63372 1681 4 mechanical mechanical JJ 63372 1681 5 principle principle NN 63372 1681 6 of of IN 63372 1681 7 relativity relativity NN 63372 1681 8 . . . 63372 1682 1 It -PRON- PRP 63372 1682 2 is be VBZ 63372 1682 3 well well RB 63372 1682 4 recognized recognize VBN 63372 1682 5 however however RB 63372 1682 6 that that IN 63372 1682 7 the the DT 63372 1682 8 laws law NNS 63372 1682 9 of of IN 63372 1682 10 dynamics dynamic NNS 63372 1682 11 as as IN 63372 1682 12 hitherto hitherto NNP 63372 1682 13 stated stated JJ 63372 1682 14 involve involve VBP 63372 1682 15 the the DT 63372 1682 16 assumptions assumption NNS 63372 1682 17 that that WDT 63372 1682 18 the the DT 63372 1682 19 lengths length NNS 63372 1682 20 of of IN 63372 1682 21 rigid rigid JJ 63372 1682 22 bodies body NNS 63372 1682 23 are be VBP 63372 1682 24 unaffected unaffected JJ 63372 1682 25 by by IN 63372 1682 26 the the DT 63372 1682 27 motion motion NN 63372 1682 28 of of IN 63372 1682 29 the the DT 63372 1682 30 frame frame NN 63372 1682 31 of of IN 63372 1682 32 reference reference NN 63372 1682 33 , , , 63372 1682 34 and and CC 63372 1682 35 that that IN 63372 1682 36 measured measure VBN 63372 1682 37 times time NNS 63372 1682 38 are be VBP 63372 1682 39 likewise likewise RB 63372 1682 40 unaffected unaffected JJ 63372 1682 41 ; ; : 63372 1682 42 that that DT 63372 1682 43 is be VBZ 63372 1682 44 to to TO 63372 1682 45 say say VB 63372 1682 46 that that IN 63372 1682 47 any any DT 63372 1682 48 length length NN 63372 1682 49 measured measure VBN 63372 1682 50 on on IN 63372 1682 51 his -PRON- PRP$ 63372 1682 52 own own JJ 63372 1682 53 system system NN 63372 1682 54 by by IN 63372 1682 55 either either DT 63372 1682 56 of of IN 63372 1682 57 two two CD 63372 1682 58 relatively relatively RB 63372 1682 59 moving moving JJ 63372 1682 60 observers observer NNS 63372 1682 61 appears appear VBZ 63372 1682 62 the the DT 63372 1682 63 same same JJ 63372 1682 64 to to IN 63372 1682 65 both both DT 63372 1682 66 observers observer NNS 63372 1682 67 , , , 63372 1682 68 or or CC 63372 1682 69 that that IN 63372 1682 70 lengths length NNS 63372 1682 71 of of IN 63372 1682 72 objects object NNS 63372 1682 73 and and CC 63372 1682 74 rates rate NNS 63372 1682 75 of of IN 63372 1682 76 clocks clock NNS 63372 1682 77 do do VBP 63372 1682 78 not not RB 63372 1682 79 alter alter VB 63372 1682 80 whatever whatever WDT 63372 1682 81 the the DT 63372 1682 82 motion motion NN 63372 1682 83 relative relative JJ 63372 1682 84 to to IN 63372 1682 85 an an DT 63372 1682 86 observer observer NN 63372 1682 87 . . . 63372 1683 1 These these DT 63372 1683 2 assumptions assumption NNS 63372 1683 3 seem seem VBP 63372 1683 4 so so RB 63372 1683 5 obvious obvious JJ 63372 1683 6 that that IN 63372 1683 7 it -PRON- PRP 63372 1683 8 is be VBZ 63372 1683 9 scarcely scarcely RB 63372 1683 10 perceived perceive VBN 63372 1683 11 that that IN 63372 1683 12 they -PRON- PRP 63372 1683 13 are be VBP 63372 1683 14 assumptions assumption NNS 63372 1683 15 at at RB 63372 1683 16 all all RB 63372 1683 17 . . . 63372 1684 1 Yet yet CC 63372 1684 2 this this DT 63372 1684 3 is be VBZ 63372 1684 4 the the DT 63372 1684 5 case case NN 63372 1684 6 , , , 63372 1684 7 and and CC 63372 1684 8 as as IN 63372 1684 9 a a DT 63372 1684 10 matter matter NN 63372 1684 11 of of IN 63372 1684 12 fact fact NN 63372 1684 13 they -PRON- PRP 63372 1684 14 are be VBP 63372 1684 15 both both RB 63372 1684 16 untrue untrue JJ 63372 1684 17 . . . 63372 1685 1 THE the DT 63372 1685 2 SPECIAL SPECIAL NNP 63372 1685 3 PRINCIPLE principle NN 63372 1685 4 OF of IN 63372 1685 5 RELATIVITY RELATIVITY NNP 63372 1685 6 Although although IN 63372 1685 7 all all DT 63372 1685 8 unaccelerated unaccelerated JJ 63372 1685 9 frames frame NNS 63372 1685 10 of of IN 63372 1685 11 reference reference NN 63372 1685 12 are be VBP 63372 1685 13 equivalent equivalent JJ 63372 1685 14 for for IN 63372 1685 15 the the DT 63372 1685 16 purposes purpose NNS 63372 1685 17 of of IN 63372 1685 18 mechanical mechanical JJ 63372 1685 19 laws law NNS 63372 1685 20 , , , 63372 1685 21 this this DT 63372 1685 22 is be VBZ 63372 1685 23 not not RB 63372 1685 24 the the DT 63372 1685 25 case case NN 63372 1685 26 for for IN 63372 1685 27 physical physical JJ 63372 1685 28 laws law NNS 63372 1685 29 generally generally RB 63372 1685 30 as as RB 63372 1685 31 long long RB 63372 1685 32 as as IN 63372 1685 33 the the DT 63372 1685 34 above above JJ 63372 1685 35 suppositions supposition NNS 63372 1685 36 are be VBP 63372 1685 37 adhered adhere VBN 63372 1685 38 to to IN 63372 1685 39 . . . 63372 1686 1 Electromagnetic electromagnetic JJ 63372 1686 2 laws law NNS 63372 1686 3 do do VBP 63372 1686 4 alter alter VB 63372 1686 5 their -PRON- PRP$ 63372 1686 6 form form NN 63372 1686 7 according accord VBG 63372 1686 8 to to IN 63372 1686 9 the the DT 63372 1686 10 motion motion NN 63372 1686 11 of of IN 63372 1686 12 the the DT 63372 1686 13 frame frame NN 63372 1686 14 of of IN 63372 1686 15 reference reference NN 63372 1686 16 ; ; : 63372 1686 17 that that DT 63372 1686 18 is be VBZ 63372 1686 19 to to TO 63372 1686 20 say say VB 63372 1686 21 , , , 63372 1686 22 if if IN 63372 1686 23 these these DT 63372 1686 24 suppositions supposition NNS 63372 1686 25 are be VBP 63372 1686 26 true true JJ 63372 1686 27 , , , 63372 1686 28 electromagnetic electromagnetic JJ 63372 1686 29 agencies agency NNS 63372 1686 30 act act VBP 63372 1686 31 in in IN 63372 1686 32 different different JJ 63372 1686 33 ways way NNS 63372 1686 34 according accord VBG 63372 1686 35 to to IN 63372 1686 36 the the DT 63372 1686 37 motion motion NN 63372 1686 38 of of IN 63372 1686 39 the the DT 63372 1686 40 system system NN 63372 1686 41 in in IN 63372 1686 42 which which WDT 63372 1686 43 they -PRON- PRP 63372 1686 44 occur occur VBP 63372 1686 45 . . . 63372 1687 1 There there EX 63372 1687 2 is be VBZ 63372 1687 3 nothing nothing NN 63372 1687 4 a a DT 63372 1687 5 priori priori FW 63372 1687 6 impossible impossible JJ 63372 1687 7 in in IN 63372 1687 8 this this DT 63372 1687 9 , , , 63372 1687 10 but but CC 63372 1687 11 it -PRON- PRP 63372 1687 12 does do VBZ 63372 1687 13 not not RB 63372 1687 14 agree agree VB 63372 1687 15 with with IN 63372 1687 16 experiment experiment NN 63372 1687 17 . . . 63372 1688 1 The the DT 63372 1688 2 motion motion NN 63372 1688 3 of of IN 63372 1688 4 each each DT 63372 1688 5 locality locality NN 63372 1688 6 on on IN 63372 1688 7 the the DT 63372 1688 8 earth earth NN 63372 1688 9 is be VBZ 63372 1688 10 continually continually RB 63372 1688 11 changing change VBG 63372 1688 12 from from IN 63372 1688 13 hour hour NN 63372 1688 14 to to IN 63372 1688 15 hour hour NN 63372 1688 16 but but CC 63372 1688 17 no no DT 63372 1688 18 corresponding corresponding JJ 63372 1688 19 changes change NNS 63372 1688 20 occur occur VBP 63372 1688 21 in in IN 63372 1688 22 electromagnetic electromagnetic JJ 63372 1688 23 actions action NNS 63372 1688 24 . . . 63372 1689 1 It -PRON- PRP 63372 1689 2 has have VBZ 63372 1689 3 however however RB 63372 1689 4 been be VBN 63372 1689 5 ascertained ascertain VBN 63372 1689 6 that that IN 63372 1689 7 on on IN 63372 1689 8 discarding discard VBG 63372 1689 9 these these DT 63372 1689 10 suppositions supposition NNS 63372 1689 11 the the DT 63372 1689 12 difficulty difficulty NN 63372 1689 13 disappears disappear VBZ 63372 1689 14 , , , 63372 1689 15 and and CC 63372 1689 16 electromagnetic electromagnetic JJ 63372 1689 17 laws law NNS 63372 1689 18 retain retain VBP 63372 1689 19 their -PRON- PRP$ 63372 1689 20 form form NN 63372 1689 21 under under IN 63372 1689 22 all all DT 63372 1689 23 circumstances circumstance NNS 63372 1689 24 of of IN 63372 1689 25 unaccelerated unaccelerated JJ 63372 1689 26 motion motion NN 63372 1689 27 . . . 63372 1690 1 According accord VBG 63372 1690 2 to to IN 63372 1690 3 the the DT 63372 1690 4 theory theory NN 63372 1690 5 of of IN 63372 1690 6 relativity relativity NN 63372 1690 7 , , , 63372 1690 8 the the DT 63372 1690 9 correct correct JJ 63372 1690 10 view view NN 63372 1690 11 which which WDT 63372 1690 12 replaces replace VBZ 63372 1690 13 these these DT 63372 1690 14 suppositions supposition NNS 63372 1690 15 is be VBZ 63372 1690 16 deducible deducible JJ 63372 1690 17 from from IN 63372 1690 18 the the DT 63372 1690 19 following follow VBG 63372 1690 20 postulates postulate NNS 63372 1690 21 : : : 63372 1690 22 ( ( -LRB- 63372 1690 23 1 1 LS 63372 1690 24 ) ) -RRB- 63372 1690 25 By by IN 63372 1690 26 no no DT 63372 1690 27 experiment experiment NN 63372 1690 28 conducted conduct VBN 63372 1690 29 on on IN 63372 1690 30 his -PRON- PRP$ 63372 1690 31 own own JJ 63372 1690 32 system system NN 63372 1690 33 can can MD 63372 1690 34 an an DT 63372 1690 35 observer observer NN 63372 1690 36 detect detect VB 63372 1690 37 the the DT 63372 1690 38 unaccelerated unaccelerated JJ 63372 1690 39 motion motion NN 63372 1690 40 of of IN 63372 1690 41 his -PRON- PRP$ 63372 1690 42 system system NN 63372 1690 43 . . . 63372 1691 1 ( ( -LRB- 63372 1691 2 2 2 LS 63372 1691 3 ) ) -RRB- 63372 1691 4 The the DT 63372 1691 5 measure measure NN 63372 1691 6 of of IN 63372 1691 7 the the DT 63372 1691 8 velocity velocity NN 63372 1691 9 of of IN 63372 1691 10 light light NN 63372 1691 11 in in IN 63372 1691 12 vacuo vacuo NNS 63372 1691 13 is be VBZ 63372 1691 14 unaffected unaffected JJ 63372 1691 15 by by IN 63372 1691 16 relative relative JJ 63372 1691 17 motion motion NN 63372 1691 18 between between IN 63372 1691 19 the the DT 63372 1691 20 observer observer NN 63372 1691 21 and and CC 63372 1691 22 the the DT 63372 1691 23 source source NN 63372 1691 24 of of IN 63372 1691 25 light light NN 63372 1691 26 . . . 63372 1692 1 Both both DT 63372 1692 2 these these DT 63372 1692 3 postulates postulate NNS 63372 1692 4 are be VBP 63372 1692 5 well well RB 63372 1692 6 established establish VBN 63372 1692 7 by by IN 63372 1692 8 experiment experiment NN 63372 1692 9 . . . 63372 1693 1 The the DT 63372 1693 2 first first JJ 63372 1693 3 may may MD 63372 1693 4 be be VB 63372 1693 5 illustrated illustrate VBN 63372 1693 6 by by IN 63372 1693 7 the the DT 63372 1693 8 familiar familiar JJ 63372 1693 9 difficulty difficulty NN 63372 1693 10 of of IN 63372 1693 11 determining determine VBG 63372 1693 12 whether whether IN 63372 1693 13 a a DT 63372 1693 14 slowly slowly RB 63372 1693 15 moving move VBG 63372 1693 16 train train NN 63372 1693 17 one one PRP 63372 1693 18 happens happen VBZ 63372 1693 19 to to TO 63372 1693 20 be be VB 63372 1693 21 sitting sit VBG 63372 1693 22 in in IN 63372 1693 23 , , , 63372 1693 24 or or CC 63372 1693 25 an an DT 63372 1693 26 adjacent adjacent JJ 63372 1693 27 one one NN 63372 1693 28 , , , 63372 1693 29 is be VBZ 63372 1693 30 in in IN 63372 1693 31 motion motion NN 63372 1693 32 . . . 63372 1694 1 The the DT 63372 1694 2 passenger passenger NN 63372 1694 3 has have VBZ 63372 1694 4 either either CC 63372 1694 5 to to TO 63372 1694 6 wait wait VB 63372 1694 7 for for IN 63372 1694 8 bumps bump NNS 63372 1694 9 ( ( -LRB- 63372 1694 10 that that RB 63372 1694 11 is is RB 63372 1694 12 , , , 63372 1694 13 accelerations acceleration NNS 63372 1694 14 ) ) -RRB- 63372 1694 15 or or CC 63372 1694 16 else else RB 63372 1694 17 he -PRON- PRP 63372 1694 18 has have VBZ 63372 1694 19 to to TO 63372 1694 20 look look VB 63372 1694 21 out out RP 63372 1694 22 at at IN 63372 1694 23 some some DT 63372 1694 24 adjacent adjacent JJ 63372 1694 25 object object NN 63372 1694 26 which which WDT 63372 1694 27 he -PRON- PRP 63372 1694 28 knows know VBZ 63372 1694 29 to to TO 63372 1694 30 be be VB 63372 1694 31 fixed fix VBN 63372 1694 32 , , , 63372 1694 33 such such JJ 63372 1694 34 as as IN 63372 1694 35 a a DT 63372 1694 36 building building NN 63372 1694 37 ( ( -LRB- 63372 1694 38 that that RB 63372 1694 39 is is RB 63372 1694 40 , , , 63372 1694 41 he -PRON- PRP 63372 1694 42 has have VBZ 63372 1694 43 to to TO 63372 1694 44 perform perform VB 63372 1694 45 an an DT 63372 1694 46 experiment experiment NN 63372 1694 47 on on IN 63372 1694 48 something something NN 63372 1694 49 outside outside IN 63372 1694 50 his -PRON- PRP$ 63372 1694 51 system system NN 63372 1694 52 ) ) -RRB- 63372 1694 53 , , , 63372 1694 54 before before IN 63372 1694 55 he -PRON- PRP 63372 1694 56 can can MD 63372 1694 57 decide decide VB 63372 1694 58 . . . 63372 1695 1 The the DT 63372 1695 2 second second JJ 63372 1695 3 postulate postulate NN 63372 1695 4 is be VBZ 63372 1695 5 an an DT 63372 1695 6 obvious obvious JJ 63372 1695 7 consequence consequence NN 63372 1695 8 of of IN 63372 1695 9 the the DT 63372 1695 10 wave wave NN 63372 1695 11 theory theory NN 63372 1695 12 of of IN 63372 1695 13 light light NN 63372 1695 14 . . . 63372 1696 1 Just just RB 63372 1696 2 as as IN 63372 1696 3 waves wave NNS 63372 1696 4 in in IN 63372 1696 5 water water NN 63372 1696 6 , , , 63372 1696 7 once once RB 63372 1696 8 started start VBN 63372 1696 9 by by IN 63372 1696 10 a a DT 63372 1696 11 ship ship NN 63372 1696 12 , , , 63372 1696 13 travel travel VB 63372 1696 14 through through IN 63372 1696 15 the the DT 63372 1696 16 water water NN 63372 1696 17 with with IN 63372 1696 18 a a DT 63372 1696 19 velocity velocity NN 63372 1696 20 independent independent JJ 63372 1696 21 of of IN 63372 1696 22 the the DT 63372 1696 23 ship ship NN 63372 1696 24 , , , 63372 1696 25 so so RB 63372 1696 26 waves wave NNS 63372 1696 27 in in IN 63372 1696 28 space space NN 63372 1696 29 travel travel NN 63372 1696 30 onward onward RB 63372 1696 31 with with IN 63372 1696 32 a a DT 63372 1696 33 speed speed NN 63372 1696 34 bearing bear VBG 63372 1696 35 no no DT 63372 1696 36 relation relation NN 63372 1696 37 to to IN 63372 1696 38 that that DT 63372 1696 39 of of IN 63372 1696 40 the the DT 63372 1696 41 body body NN 63372 1696 42 which which WDT 63372 1696 43 originated originate VBD 63372 1696 44 them -PRON- PRP 63372 1696 45 . . . 63372 1697 1 The the DT 63372 1697 2 statement statement NN 63372 1697 3 however however RB 63372 1697 4 is be VBZ 63372 1697 5 based base VBN 63372 1697 6 on on IN 63372 1697 7 experiment experiment NN 63372 1697 8 , , , 63372 1697 9 and and CC 63372 1697 10 can can MD 63372 1697 11 be be VB 63372 1697 12 proved prove VBN 63372 1697 13 independently independently RB 63372 1697 14 of of IN 63372 1697 15 any any DT 63372 1697 16 theory theory NN 63372 1697 17 of of IN 63372 1697 18 light light NN 63372 1697 19 . . . 63372 1698 1 It -PRON- PRP 63372 1698 2 is be VBZ 63372 1698 3 not not RB 63372 1698 4 difficult difficult JJ 63372 1698 5 to to TO 63372 1698 6 deduce deduce VB 63372 1698 7 from from IN 63372 1698 8 these these DT 63372 1698 9 postulates postulate NNS 63372 1698 10 certain certain JJ 63372 1698 11 remarkable remarkable JJ 63372 1698 12 conclusions conclusion NNS 63372 1698 13 relating relate VBG 63372 1698 14 to to IN 63372 1698 15 the the DT 63372 1698 16 systems system NNS 63372 1698 17 of of IN 63372 1698 18 two two CD 63372 1698 19 observers observer NNS 63372 1698 20 , , , 63372 1698 21 A a NN 63372 1698 22 and and CC 63372 1698 23 B b NN 63372 1698 24 , , , 63372 1698 25 in in IN 63372 1698 26 relative relative JJ 63372 1698 27 motion motion NN 63372 1698 28 , , , 63372 1698 29 among among IN 63372 1698 30 them -PRON- PRP 63372 1698 31 the the DT 63372 1698 32 following follow VBG 63372 1698 33 : : : 63372 1698 34 ( ( -LRB- 63372 1698 35 1 1 LS 63372 1698 36 ) ) -RRB- 63372 1698 37 Objects object NNS 63372 1698 38 on on IN 63372 1698 39 B B NNP 63372 1698 40 's 's POS 63372 1698 41 system system NN 63372 1698 42 appear appear VBP 63372 1698 43 to to IN 63372 1698 44 A a DT 63372 1698 45 to to TO 63372 1698 46 be be VB 63372 1698 47 shorter short JJR 63372 1698 48 in in IN 63372 1698 49 the the DT 63372 1698 50 direction direction NN 63372 1698 51 of of IN 63372 1698 52 relative relative JJ 63372 1698 53 motion motion NN 63372 1698 54 than than IN 63372 1698 55 they -PRON- PRP 63372 1698 56 appear appear VBP 63372 1698 57 to to IN 63372 1698 58 B. B. NNP 63372 1699 1 ( ( -LRB- 63372 1699 2 2 2 LS 63372 1699 3 ) ) -RRB- 63372 1699 4 This this DT 63372 1699 5 opinion opinion NN 63372 1699 6 is be VBZ 63372 1699 7 reciprocal reciprocal JJ 63372 1699 8 . . . 63372 1700 1 B B NNP 63372 1700 2 thinks think VBZ 63372 1700 3 that that IN 63372 1700 4 A A NNP 63372 1700 5 's 's POS 63372 1700 6 measurements measurement NNS 63372 1700 7 on on IN 63372 1700 8 A A NNP 63372 1700 9 's 's POS 63372 1700 10 system system NN 63372 1700 11 are be VBP 63372 1700 12 too too RB 63372 1700 13 great great JJ 63372 1700 14 . . . 63372 1701 1 ( ( -LRB- 63372 1701 2 3 3 LS 63372 1701 3 ) ) -RRB- 63372 1701 4 Similarly similarly RB 63372 1701 5 for for IN 63372 1701 6 times time NNS 63372 1701 7 : : : 63372 1701 8 each each DT 63372 1701 9 observer observer NN 63372 1701 10 thinks think VBZ 63372 1701 11 that that IN 63372 1701 12 the the DT 63372 1701 13 other other JJ 63372 1701 14 's 's POS 63372 1701 15 clocks clock NNS 63372 1701 16 have have VBP 63372 1701 17 a a DT 63372 1701 18 slower slow JJR 63372 1701 19 rate rate NN 63372 1701 20 than than IN 63372 1701 21 his -PRON- PRP$ 63372 1701 22 own own JJ 63372 1701 23 , , , 63372 1701 24 so so IN 63372 1701 25 that that IN 63372 1701 26 B B NNP 63372 1701 27 's 's POS 63372 1701 28 durations duration NNS 63372 1701 29 of of IN 63372 1701 30 time time NN 63372 1701 31 appear appear VBP 63372 1701 32 shorter short JJR 63372 1701 33 to to IN 63372 1701 34 B b NN 63372 1701 35 than than IN 63372 1701 36 to to IN 63372 1701 37 A a NN 63372 1701 38 , , , 63372 1701 39 and and CC 63372 1701 40 conversely conversely RB 63372 1701 41 . . . 63372 1702 1 ( ( -LRB- 63372 1702 2 4 4 LS 63372 1702 3 ) ) -RRB- 63372 1702 4 Events event NNS 63372 1702 5 which which WDT 63372 1702 6 appear appear VBP 63372 1702 7 simultaneous simultaneous JJ 63372 1702 8 to to IN 63372 1702 9 A a DT 63372 1702 10 do do VBP 63372 1702 11 not not RB 63372 1702 12 in in IN 63372 1702 13 general general JJ 63372 1702 14 appear appear VB 63372 1702 15 so so RB 63372 1702 16 to to IN 63372 1702 17 B b NN 63372 1702 18 , , , 63372 1702 19 and and CC 63372 1702 20 conversely conversely RB 63372 1702 21 . . . 63372 1703 1 ( ( -LRB- 63372 1703 2 5 5 LS 63372 1703 3 ) ) -RRB- 63372 1703 4 Lengths length NNS 63372 1703 5 at at IN 63372 1703 6 right right JJ 63372 1703 7 angles angle NNS 63372 1703 8 to to IN 63372 1703 9 the the DT 63372 1703 10 direction direction NN 63372 1703 11 of of IN 63372 1703 12 motion motion NN 63372 1703 13 are be VBP 63372 1703 14 unaffected unaffected JJ 63372 1703 15 . . . 63372 1704 1 ( ( -LRB- 63372 1704 2 6 6 LS 63372 1704 3 ) ) -RRB- 63372 1704 4 These these DT 63372 1704 5 effects effect NNS 63372 1704 6 vary vary VBP 63372 1704 7 with with IN 63372 1704 8 the the DT 63372 1704 9 ratio ratio NN 63372 1704 10 of of IN 63372 1704 11 the the DT 63372 1704 12 relative relative JJ 63372 1704 13 velocity velocity NN 63372 1704 14 to to IN 63372 1704 15 that that DT 63372 1704 16 of of IN 63372 1704 17 light light NN 63372 1704 18 . . . 63372 1705 1 The the DT 63372 1705 2 greater great JJR 63372 1705 3 the the DT 63372 1705 4 relative relative JJ 63372 1705 5 velocity velocity NN 63372 1705 6 , , , 63372 1705 7 the the DT 63372 1705 8 greater great JJR 63372 1705 9 the the DT 63372 1705 10 effects effect NNS 63372 1705 11 . . . 63372 1706 1 They -PRON- PRP 63372 1706 2 vanish vanish VBP 63372 1706 3 if if IN 63372 1706 4 there there EX 63372 1706 5 is be VBZ 63372 1706 6 no no DT 63372 1706 7 relative relative JJ 63372 1706 8 velocity velocity NN 63372 1706 9 . . . 63372 1707 1 ( ( -LRB- 63372 1707 2 7 7 LS 63372 1707 3 ) ) -RRB- 63372 1707 4 For for IN 63372 1707 5 ordinary ordinary JJ 63372 1707 6 velocities velocity NNS 63372 1707 7 the the DT 63372 1707 8 effects effect NNS 63372 1707 9 are be VBP 63372 1707 10 so so RB 63372 1707 11 small small JJ 63372 1707 12 as as IN 63372 1707 13 to to TO 63372 1707 14 escape escape VB 63372 1707 15 notice notice NN 63372 1707 16 . . . 63372 1708 1 The the DT 63372 1708 2 remarkable remarkable JJ 63372 1708 3 point point NN 63372 1708 4 however however RB 63372 1708 5 is be VBZ 63372 1708 6 their -PRON- PRP$ 63372 1708 7 occurrence occurrence NN 63372 1708 8 rather rather RB 63372 1708 9 than than IN 63372 1708 10 their -PRON- PRP$ 63372 1708 11 magnitude magnitude NN 63372 1708 12 . . . 63372 1709 1 ( ( -LRB- 63372 1709 2 8) 8) CD 63372 1709 3 The the DT 63372 1709 4 observers observer NNS 63372 1709 5 similarly similarly RB 63372 1709 6 form form VBP 63372 1709 7 different different JJ 63372 1709 8 estimates estimate NNS 63372 1709 9 of of IN 63372 1709 10 the the DT 63372 1709 11 velocities velocity NNS 63372 1709 12 of of IN 63372 1709 13 bodies body NNS 63372 1709 14 on on IN 63372 1709 15 each each DT 63372 1709 16 other other JJ 63372 1709 17 's 's POS 63372 1709 18 systems system NNS 63372 1709 19 . . . 63372 1710 1 The the DT 63372 1710 2 velocity velocity NN 63372 1710 3 of of IN 63372 1710 4 light light NN 63372 1710 5 however however RB 63372 1710 6 appears appear VBZ 63372 1710 7 the the DT 63372 1710 8 same same JJ 63372 1710 9 to to IN 63372 1710 10 all all DT 63372 1710 11 observers observer NNS 63372 1710 12 . . . 63372 1711 1 Taking take VBG 63372 1711 2 into into IN 63372 1711 3 account account NN 63372 1711 4 these these DT 63372 1711 5 revised revise VBN 63372 1711 6 views view NNS 63372 1711 7 of of IN 63372 1711 8 lengths length NNS 63372 1711 9 and and CC 63372 1711 10 times time NNS 63372 1711 11 the the DT 63372 1711 12 mechanical mechanical JJ 63372 1711 13 principle principle NN 63372 1711 14 of of IN 63372 1711 15 relativity relativity NN 63372 1711 16 may may MD 63372 1711 17 be be VB 63372 1711 18 extended extend VBN 63372 1711 19 to to IN 63372 1711 20 physical physical JJ 63372 1711 21 laws law NNS 63372 1711 22 generally generally RB 63372 1711 23 as as IN 63372 1711 24 follows follow VBZ 63372 1711 25 : : : 63372 1711 26 All all DT 63372 1711 27 unaccelerated unaccelerated JJ 63372 1711 28 frames frame NNS 63372 1711 29 of of IN 63372 1711 30 reference reference NN 63372 1711 31 are be VBP 63372 1711 32 equivalent equivalent JJ 63372 1711 33 for for IN 63372 1711 34 the the DT 63372 1711 35 statement statement NN 63372 1711 36 of of IN 63372 1711 37 the the DT 63372 1711 38 general general JJ 63372 1711 39 laws law NNS 63372 1711 40 of of IN 63372 1711 41 physics physics NN 63372 1711 42 . . . 63372 1712 1 In in IN 63372 1712 2 this this DT 63372 1712 3 form form NN 63372 1712 4 the the DT 63372 1712 5 statement statement NN 63372 1712 6 is be VBZ 63372 1712 7 called call VBN 63372 1712 8 the the DT 63372 1712 9 Special Special NNP 63372 1712 10 , , , 63372 1712 11 or or CC 63372 1712 12 Restricted restrict VBN 63372 1712 13 , , , 63372 1712 14 Principle Principle NNP 63372 1712 15 of of IN 63372 1712 16 Relativity Relativity NNP 63372 1712 17 , , , 63372 1712 18 because because IN 63372 1712 19 it -PRON- PRP 63372 1712 20 is be VBZ 63372 1712 21 restricted restrict VBN 63372 1712 22 to to IN 63372 1712 23 unaccelerated unaccelerated JJ 63372 1712 24 frames frame NNS 63372 1712 25 of of IN 63372 1712 26 reference reference NN 63372 1712 27 . . . 63372 1713 1 Naturally naturally RB 63372 1713 2 the the DT 63372 1713 3 laws law NNS 63372 1713 4 of of IN 63372 1713 5 classical classical JJ 63372 1713 6 mechanics mechanic NNS 63372 1713 7 now now RB 63372 1713 8 require require VBP 63372 1713 9 some some DT 63372 1713 10 modification modification NN 63372 1713 11 , , , 63372 1713 12 since since IN 63372 1713 13 the the DT 63372 1713 14 suppositions supposition NNS 63372 1713 15 of of IN 63372 1713 16 unalterable unalterable JJ 63372 1713 17 lengths length NNS 63372 1713 18 and and CC 63372 1713 19 times time NNS 63372 1713 20 no no RB 63372 1713 21 longer longer RB 63372 1713 22 apply apply VBP 63372 1713 23 . . . 63372 1714 1 THE the DT 63372 1714 2 FOUR FOUR NNP 63372 1714 3 DIMENSIONAL DIMENSIONAL NNP 63372 1714 4 CONTINUUM CONTINUUM NNP 63372 1714 5 Lengths length NNS 63372 1714 6 and and CC 63372 1714 7 times time NNS 63372 1714 8 therefore therefore RB 63372 1714 9 have have VBP 63372 1714 10 not not RB 63372 1714 11 the the DT 63372 1714 12 absolute absolute JJ 63372 1714 13 character character NN 63372 1714 14 formerly formerly RB 63372 1714 15 attributed attribute VBD 63372 1714 16 to to IN 63372 1714 17 them -PRON- PRP 63372 1714 18 . . . 63372 1715 1 As as IN 63372 1715 2 they -PRON- PRP 63372 1715 3 present present VBP 63372 1715 4 themselves -PRON- PRP 63372 1715 5 to to IN 63372 1715 6 us -PRON- PRP 63372 1715 7 they -PRON- PRP 63372 1715 8 are be VBP 63372 1715 9 relations relation NNS 63372 1715 10 between between IN 63372 1715 11 the the DT 63372 1715 12 object object NN 63372 1715 13 and and CC 63372 1715 14 the the DT 63372 1715 15 observer observer NN 63372 1715 16 which which WDT 63372 1715 17 change change VBP 63372 1715 18 as as IN 63372 1715 19 their -PRON- PRP$ 63372 1715 20 motion motion NN 63372 1715 21 relative relative JJ 63372 1715 22 to to IN 63372 1715 23 him -PRON- PRP 63372 1715 24 changes change NNS 63372 1715 25 . . . 63372 1716 1 Time time NN 63372 1716 2 can can MD 63372 1716 3 no no RB 63372 1716 4 longer longer RB 63372 1716 5 be be VB 63372 1716 6 regarded regard VBN 63372 1716 7 as as IN 63372 1716 8 something something NN 63372 1716 9 independent independent JJ 63372 1716 10 of of IN 63372 1716 11 position position NN 63372 1716 12 and and CC 63372 1716 13 motion motion NN 63372 1716 14 , , , 63372 1716 15 and and CC 63372 1716 16 the the DT 63372 1716 17 question question NN 63372 1716 18 is be VBZ 63372 1716 19 what what WP 63372 1716 20 is be VBZ 63372 1716 21 the the DT 63372 1716 22 reality reality NN 63372 1716 23 ? ? . 63372 1717 1 The the DT 63372 1717 2 only only JJ 63372 1717 3 possible possible JJ 63372 1717 4 answer answer NN 63372 1717 5 is be VBZ 63372 1717 6 that that IN 63372 1717 7 objects object NNS 63372 1717 8 must must MD 63372 1717 9 be be VB 63372 1717 10 regarded regard VBN 63372 1717 11 as as IN 63372 1717 12 existing exist VBG 63372 1717 13 in in IN 63372 1717 14 four four CD 63372 1717 15 dimensions dimension NNS 63372 1717 16 , , , 63372 1717 17 three three CD 63372 1717 18 of of IN 63372 1717 19 these these DT 63372 1717 20 being be VBG 63372 1717 21 the the DT 63372 1717 22 ordinary ordinary JJ 63372 1717 23 ones one NNS 63372 1717 24 of of IN 63372 1717 25 length length NN 63372 1717 26 , , , 63372 1717 27 breadth breadth NN 63372 1717 28 and and CC 63372 1717 29 thickness thickness NN 63372 1717 30 , , , 63372 1717 31 and and CC 63372 1717 32 the the DT 63372 1717 33 fourth fourth JJ 63372 1717 34 , , , 63372 1717 35 time time NN 63372 1717 36 . . . 63372 1718 1 The the DT 63372 1718 2 term term NN 63372 1718 3 " " `` 63372 1718 4 space space NN 63372 1718 5 " " '' 63372 1718 6 is be VBZ 63372 1718 7 applicable applicable JJ 63372 1718 8 only only RB 63372 1718 9 by by IN 63372 1718 10 analogy analogy NN 63372 1718 11 to to IN 63372 1718 12 such such PDT 63372 1718 13 a a DT 63372 1718 14 region region NN 63372 1718 15 ; ; : 63372 1718 16 it -PRON- PRP 63372 1718 17 has have VBZ 63372 1718 18 been be VBN 63372 1718 19 called call VBN 63372 1718 20 a a DT 63372 1718 21 " " `` 63372 1718 22 continuum continuum NN 63372 1718 23 , , , 63372 1718 24 " " '' 63372 1718 25 and and CC 63372 1718 26 the the DT 63372 1718 27 analogue analogue NN 63372 1718 28 of of IN 63372 1718 29 a a DT 63372 1718 30 point point NN 63372 1718 31 in in IN 63372 1718 32 ordinary ordinary JJ 63372 1718 33 three three CD 63372 1718 34 - - HYPH 63372 1718 35 dimensional dimensional JJ 63372 1718 36 space space NN 63372 1718 37 has have VBZ 63372 1718 38 been be VBN 63372 1718 39 appropriately appropriately RB 63372 1718 40 called call VBN 63372 1718 41 an an DT 63372 1718 42 " " `` 63372 1718 43 event event NN 63372 1718 44 . . . 63372 1718 45 " " '' 63372 1719 1 By by IN 63372 1719 2 " " `` 63372 1719 3 dimension dimension NN 63372 1719 4 " " '' 63372 1719 5 must must MD 63372 1719 6 be be VB 63372 1719 7 understood understand VBN 63372 1719 8 merely merely RB 63372 1719 9 one one CD 63372 1719 10 of of IN 63372 1719 11 four four CD 63372 1719 12 independent independent JJ 63372 1719 13 quantities quantity NNS 63372 1719 14 which which WDT 63372 1719 15 locate locate VBP 63372 1719 16 an an DT 63372 1719 17 event event NN 63372 1719 18 in in IN 63372 1719 19 this this DT 63372 1719 20 continuum continuum NN 63372 1719 21 . . . 63372 1720 1 In in IN 63372 1720 2 the the DT 63372 1720 3 nature nature NN 63372 1720 4 of of IN 63372 1720 5 the the DT 63372 1720 6 case case NN 63372 1720 7 any any DT 63372 1720 8 clear clear JJ 63372 1720 9 mental mental JJ 63372 1720 10 picture picture NN 63372 1720 11 of of IN 63372 1720 12 such such PDT 63372 1720 13 a a DT 63372 1720 14 continuum continuum NN 63372 1720 15 is be VBZ 63372 1720 16 impossible impossible JJ 63372 1720 17 ; ; : 63372 1720 18 mankind mankind NN 63372 1720 19 does do VBZ 63372 1720 20 not not RB 63372 1720 21 possess possess VB 63372 1720 22 the the DT 63372 1720 23 requisite requisite JJ 63372 1720 24 faculties faculty NNS 63372 1720 25 . . . 63372 1721 1 In in IN 63372 1721 2 this this DT 63372 1721 3 respect respect NN 63372 1721 4 the the DT 63372 1721 5 mathematician mathematician NN 63372 1721 6 enjoys enjoy VBZ 63372 1721 7 a a DT 63372 1721 8 great great JJ 63372 1721 9 advantage advantage NN 63372 1721 10 . . . 63372 1722 1 Not not RB 63372 1722 2 that that IN 63372 1722 3 he -PRON- PRP 63372 1722 4 can can MD 63372 1722 5 picture picture VB 63372 1722 6 the the DT 63372 1722 7 thing thing NN 63372 1722 8 mentally mentally RB 63372 1722 9 any any RB 63372 1722 10 better well RBR 63372 1722 11 than than IN 63372 1722 12 other other JJ 63372 1722 13 people people NNS 63372 1722 14 , , , 63372 1722 15 but but CC 63372 1722 16 his -PRON- PRP$ 63372 1722 17 symbols symbol NNS 63372 1722 18 enable enable VBP 63372 1722 19 him -PRON- PRP 63372 1722 20 to to TO 63372 1722 21 abstract abstract VB 63372 1722 22 the the DT 63372 1722 23 relevant relevant JJ 63372 1722 24 properties property NNS 63372 1722 25 from from IN 63372 1722 26 it -PRON- PRP 63372 1722 27 and and CC 63372 1722 28 to to TO 63372 1722 29 express express VB 63372 1722 30 them -PRON- PRP 63372 1722 31 in in IN 63372 1722 32 a a DT 63372 1722 33 form form NN 63372 1722 34 suitable suitable JJ 63372 1722 35 for for IN 63372 1722 36 exact exact JJ 63372 1722 37 treatment treatment NN 63372 1722 38 without without IN 63372 1722 39 the the DT 63372 1722 40 necessity necessity NN 63372 1722 41 of of IN 63372 1722 42 picturing picture VBG 63372 1722 43 anything anything NN 63372 1722 44 , , , 63372 1722 45 or or CC 63372 1722 46 troubling trouble VBG 63372 1722 47 whether whether IN 63372 1722 48 or or CC 63372 1722 49 not not RB 63372 1722 50 the the DT 63372 1722 51 properties property NNS 63372 1722 52 are be VBP 63372 1722 53 those those DT 63372 1722 54 on on IN 63372 1722 55 which which WDT 63372 1722 56 others other NNS 63372 1722 57 rely rely VBP 63372 1722 58 for for IN 63372 1722 59 their -PRON- PRP$ 63372 1722 60 conceptions conception NNS 63372 1722 61 . . . 63372 1723 1 GRAVITATION gravitation NN 63372 1723 2 AND and CC 63372 1723 3 ACCELERATION acceleration VB 63372 1723 4 The the DT 63372 1723 5 limitation limitation NN 63372 1723 6 of of IN 63372 1723 7 statements statement NNS 63372 1723 8 of of IN 63372 1723 9 general general JJ 63372 1723 10 law law NN 63372 1723 11 to to IN 63372 1723 12 uniformly uniformly RB 63372 1723 13 moving move VBG 63372 1723 14 systems system NNS 63372 1723 15 is be VBZ 63372 1723 16 hardly hardly RB 63372 1723 17 satisfactory satisfactory JJ 63372 1723 18 . . . 63372 1724 1 The the DT 63372 1724 2 very very JJ 63372 1724 3 concept concept NN 63372 1724 4 of of IN 63372 1724 5 general general JJ 63372 1724 6 law law NN 63372 1724 7 is be VBZ 63372 1724 8 opposed opposed JJ 63372 1724 9 to to IN 63372 1724 10 the the DT 63372 1724 11 notion notion NN 63372 1724 12 of of IN 63372 1724 13 limitation limitation NN 63372 1724 14 . . . 63372 1725 1 But but CC 63372 1725 2 the the DT 63372 1725 3 difficulties difficulty NNS 63372 1725 4 of of IN 63372 1725 5 formulating formulate VBG 63372 1725 6 a a DT 63372 1725 7 law law NN 63372 1725 8 so so IN 63372 1725 9 that that IN 63372 1725 10 the the DT 63372 1725 11 statement statement NN 63372 1725 12 of of IN 63372 1725 13 it -PRON- PRP 63372 1725 14 shall shall MD 63372 1725 15 hold hold VB 63372 1725 16 good good JJ 63372 1725 17 for for IN 63372 1725 18 all all DT 63372 1725 19 observers observer NNS 63372 1725 20 , , , 63372 1725 21 whose whose WP$ 63372 1725 22 systems system NNS 63372 1725 23 may may MD 63372 1725 24 be be VB 63372 1725 25 moving move VBG 63372 1725 26 with with IN 63372 1725 27 different different JJ 63372 1725 28 and and CC 63372 1725 29 possibly possibly RB 63372 1725 30 variable variable JJ 63372 1725 31 accelerations acceleration NNS 63372 1725 32 , , , 63372 1725 33 are be VBP 63372 1725 34 very very RB 63372 1725 35 great great JJ 63372 1725 36 . . . 63372 1726 1 Accelerations acceleration NNS 63372 1726 2 imply imply VBP 63372 1726 3 forces force NNS 63372 1726 4 which which WDT 63372 1726 5 might may MD 63372 1726 6 be be VB 63372 1726 7 expected expect VBN 63372 1726 8 to to TO 63372 1726 9 upset upset VB 63372 1726 10 the the DT 63372 1726 11 formulation formulation NN 63372 1726 12 of of IN 63372 1726 13 any any DT 63372 1726 14 general general JJ 63372 1726 15 dynamical dynamical JJ 63372 1726 16 principles principle NNS 63372 1726 17 , , , 63372 1726 18 and and CC 63372 1726 19 besides besides RB 63372 1726 20 , , , 63372 1726 21 the the DT 63372 1726 22 behavior behavior NN 63372 1726 23 of of IN 63372 1726 24 measuring measure VBG 63372 1726 25 rods rod NNS 63372 1726 26 and and CC 63372 1726 27 clocks clock NNS 63372 1726 28 would would MD 63372 1726 29 be be VB 63372 1726 30 so so RB 63372 1726 31 erratic erratic JJ 63372 1726 32 as as IN 63372 1726 33 to to TO 63372 1726 34 render render VB 63372 1726 35 unmeaning unmeane VBG 63372 1726 36 such such JJ 63372 1726 37 terms term NNS 63372 1726 38 as as IN 63372 1726 39 rigidity rigidity NN 63372 1726 40 and and CC 63372 1726 41 measured measured JJ 63372 1726 42 time time NN 63372 1726 43 , , , 63372 1726 44 and and CC 63372 1726 45 therefore therefore RB 63372 1726 46 to to TO 63372 1726 47 preclude preclude VB 63372 1726 48 the the DT 63372 1726 49 use use NN 63372 1726 50 of of IN 63372 1726 51 rigid rigid JJ 63372 1726 52 scales scale NNS 63372 1726 53 , , , 63372 1726 54 or or CC 63372 1726 55 of of IN 63372 1726 56 a a DT 63372 1726 57 rigid rigid JJ 63372 1726 58 frame frame NN 63372 1726 59 of of IN 63372 1726 60 reference reference NN 63372 1726 61 which which WDT 63372 1726 62 is be VBZ 63372 1726 63 the the DT 63372 1726 64 basis basis NN 63372 1726 65 of of IN 63372 1726 66 the the DT 63372 1726 67 foregoing foregoing NN 63372 1726 68 investigation investigation NN 63372 1726 69 . . . 63372 1727 1 The the DT 63372 1727 2 following follow VBG 63372 1727 3 example example NN 63372 1727 4 taken take VBN 63372 1727 5 from from IN 63372 1727 6 Einstein Einstein NNP 63372 1727 7 will will MD 63372 1727 8 make make VB 63372 1727 9 this this DT 63372 1727 10 clear clear JJ 63372 1727 11 , , , 63372 1727 12 and and CC 63372 1727 13 also also RB 63372 1727 14 indicate indicate VB 63372 1727 15 a a DT 63372 1727 16 way way NN 63372 1727 17 out out IN 63372 1727 18 of of IN 63372 1727 19 the the DT 63372 1727 20 difficulty difficulty NN 63372 1727 21 . . . 63372 1728 1 A a DT 63372 1728 2 rotating rotate VBG 63372 1728 3 system system NN 63372 1728 4 is be VBZ 63372 1728 5 chosen choose VBN 63372 1728 6 , , , 63372 1728 7 but but CC 63372 1728 8 since since IN 63372 1728 9 rotation rotation NN 63372 1728 10 is be VBZ 63372 1728 11 only only RB 63372 1728 12 a a DT 63372 1728 13 particular particular JJ 63372 1728 14 case case NN 63372 1728 15 of of IN 63372 1728 16 acceleration acceleration NN 63372 1728 17 it -PRON- PRP 63372 1728 18 will will MD 63372 1728 19 serve serve VB 63372 1728 20 as as IN 63372 1728 21 an an DT 63372 1728 22 example example NN 63372 1728 23 of of IN 63372 1728 24 the the DT 63372 1728 25 method method NN 63372 1728 26 of of IN 63372 1728 27 treating treat VBG 63372 1728 28 accelerated accelerate VBN 63372 1728 29 systems system NNS 63372 1728 30 generally generally RB 63372 1728 31 . . . 63372 1729 1 Moreover moreover RB 63372 1729 2 , , , 63372 1729 3 as as IN 63372 1729 4 it -PRON- PRP 63372 1729 5 will will MD 63372 1729 6 be be VB 63372 1729 7 seen see VBN 63372 1729 8 , , , 63372 1729 9 the the DT 63372 1729 10 attribution attribution NN 63372 1729 11 of of IN 63372 1729 12 acceleration acceleration NN 63372 1729 13 to to IN 63372 1729 14 the the DT 63372 1729 15 system system NN 63372 1729 16 is be VBZ 63372 1729 17 simply simply RB 63372 1729 18 a a DT 63372 1729 19 piece piece NN 63372 1729 20 of of IN 63372 1729 21 scaffolding scaffolding NN 63372 1729 22 which which WDT 63372 1729 23 can can MD 63372 1729 24 be be VB 63372 1729 25 discarded discard VBN 63372 1729 26 when when WRB 63372 1729 27 the the DT 63372 1729 28 general general JJ 63372 1729 29 theory theory NN 63372 1729 30 has have VBZ 63372 1729 31 been be VBN 63372 1729 32 further further RB 63372 1729 33 developed develop VBN 63372 1729 34 . . . 63372 1730 1 Let let VB 63372 1730 2 us -PRON- PRP 63372 1730 3 note note VB 63372 1730 4 the the DT 63372 1730 5 experiences experience NNS 63372 1730 6 of of IN 63372 1730 7 an an DT 63372 1730 8 observer observer NN 63372 1730 9 on on IN 63372 1730 10 a a DT 63372 1730 11 rotating rotating NN 63372 1730 12 disk disk NN 63372 1730 13 which which WDT 63372 1730 14 is be VBZ 63372 1730 15 isolated isolate VBN 63372 1730 16 so so IN 63372 1730 17 that that IN 63372 1730 18 the the DT 63372 1730 19 observer observer NN 63372 1730 20 has have VBZ 63372 1730 21 no no DT 63372 1730 22 direct direct JJ 63372 1730 23 means mean NNS 63372 1730 24 of of IN 63372 1730 25 perceiving perceive VBG 63372 1730 26 the the DT 63372 1730 27 rotation rotation NN 63372 1730 28 . . . 63372 1731 1 He -PRON- PRP 63372 1731 2 will will MD 63372 1731 3 therefore therefore RB 63372 1731 4 refer refer VB 63372 1731 5 all all PDT 63372 1731 6 the the DT 63372 1731 7 occurrences occurrence NNS 63372 1731 8 on on IN 63372 1731 9 the the DT 63372 1731 10 disk disk NN 63372 1731 11 to to IN 63372 1731 12 a a DT 63372 1731 13 frame frame NN 63372 1731 14 of of IN 63372 1731 15 reference reference NN 63372 1731 16 fixed fix VBN 63372 1731 17 with with IN 63372 1731 18 respect respect NN 63372 1731 19 to to IN 63372 1731 20 it -PRON- PRP 63372 1731 21 , , , 63372 1731 22 and and CC 63372 1731 23 partaking partaking NN 63372 1731 24 of of IN 63372 1731 25 its -PRON- PRP$ 63372 1731 26 motion motion NN 63372 1731 27 . . . 63372 1732 1 He -PRON- PRP 63372 1732 2 will will MD 63372 1732 3 notice notice VB 63372 1732 4 as as IN 63372 1732 5 he -PRON- PRP 63372 1732 6 walks walk VBZ 63372 1732 7 about about IN 63372 1732 8 on on IN 63372 1732 9 the the DT 63372 1732 10 disk disk NN 63372 1732 11 that that WDT 63372 1732 12 he -PRON- PRP 63372 1732 13 himself -PRON- PRP 63372 1732 14 and and CC 63372 1732 15 all all PDT 63372 1732 16 the the DT 63372 1732 17 objects object NNS 63372 1732 18 on on IN 63372 1732 19 it -PRON- PRP 63372 1732 20 , , , 63372 1732 21 whatever whatever WDT 63372 1732 22 their -PRON- PRP$ 63372 1732 23 constitution constitution NN 63372 1732 24 or or CC 63372 1732 25 state state NN 63372 1732 26 , , , 63372 1732 27 are be VBP 63372 1732 28 acted act VBN 63372 1732 29 upon upon IN 63372 1732 30 by by IN 63372 1732 31 a a DT 63372 1732 32 force force NN 63372 1732 33 directed direct VBN 63372 1732 34 away away RB 63372 1732 35 from from IN 63372 1732 36 a a DT 63372 1732 37 certain certain JJ 63372 1732 38 point point NN 63372 1732 39 upon upon IN 63372 1732 40 it -PRON- PRP 63372 1732 41 and and CC 63372 1732 42 increasing increase VBG 63372 1732 43 with with IN 63372 1732 44 the the DT 63372 1732 45 distance distance NN 63372 1732 46 from from IN 63372 1732 47 that that DT 63372 1732 48 point point NN 63372 1732 49 . . . 63372 1733 1 This this DT 63372 1733 2 point point NN 63372 1733 3 is be VBZ 63372 1733 4 actually actually RB 63372 1733 5 the the DT 63372 1733 6 center center NN 63372 1733 7 of of IN 63372 1733 8 rotation rotation NN 63372 1733 9 , , , 63372 1733 10 though though IN 63372 1733 11 the the DT 63372 1733 12 observer observer NN 63372 1733 13 does do VBZ 63372 1733 14 not not RB 63372 1733 15 recognize recognize VB 63372 1733 16 it -PRON- PRP 63372 1733 17 as as IN 63372 1733 18 such such JJ 63372 1733 19 . . . 63372 1734 1 The the DT 63372 1734 2 space space NN 63372 1734 3 on on IN 63372 1734 4 the the DT 63372 1734 5 disk disk NN 63372 1734 6 in in IN 63372 1734 7 fact fact NN 63372 1734 8 presents present VBZ 63372 1734 9 the the DT 63372 1734 10 characteristic characteristic JJ 63372 1734 11 properties property NNS 63372 1734 12 of of IN 63372 1734 13 a a DT 63372 1734 14 gravitational gravitational JJ 63372 1734 15 field field NN 63372 1734 16 . . . 63372 1735 1 The the DT 63372 1735 2 force force NN 63372 1735 3 differs differ VBZ 63372 1735 4 from from IN 63372 1735 5 gravity gravity NN 63372 1735 6 as as IN 63372 1735 7 we -PRON- PRP 63372 1735 8 know know VBP 63372 1735 9 it -PRON- PRP 63372 1735 10 by by IN 63372 1735 11 the the DT 63372 1735 12 fact fact NN 63372 1735 13 that that IN 63372 1735 14 it -PRON- PRP 63372 1735 15 is be VBZ 63372 1735 16 directed direct VBN 63372 1735 17 away away RB 63372 1735 18 from from IN 63372 1735 19 instead instead RB 63372 1735 20 of of IN 63372 1735 21 toward toward IN 63372 1735 22 a a DT 63372 1735 23 center center NN 63372 1735 24 , , , 63372 1735 25 and and CC 63372 1735 26 it -PRON- PRP 63372 1735 27 obeys obey VBZ 63372 1735 28 a a DT 63372 1735 29 different different JJ 63372 1735 30 law law NN 63372 1735 31 of of IN 63372 1735 32 distance distance NN 63372 1735 33 ; ; : 63372 1735 34 but but CC 63372 1735 35 this this DT 63372 1735 36 does do VBZ 63372 1735 37 not not RB 63372 1735 38 affect affect VB 63372 1735 39 the the DT 63372 1735 40 characteristic characteristic JJ 63372 1735 41 properties property NNS 63372 1735 42 that that WDT 63372 1735 43 it -PRON- PRP 63372 1735 44 acts act VBZ 63372 1735 45 on on IN 63372 1735 46 all all DT 63372 1735 47 bodies body NNS 63372 1735 48 alike alike RB 63372 1735 49 , , , 63372 1735 50 and and CC 63372 1735 51 can can MD 63372 1735 52 not not RB 63372 1735 53 be be VB 63372 1735 54 screened screen VBN 63372 1735 55 from from IN 63372 1735 56 one one CD 63372 1735 57 body body NN 63372 1735 58 by by IN 63372 1735 59 the the DT 63372 1735 60 interposition interposition NN 63372 1735 61 of of IN 63372 1735 62 another another DT 63372 1735 63 . . . 63372 1736 1 An an DT 63372 1736 2 observer observer NN 63372 1736 3 aware aware JJ 63372 1736 4 of of IN 63372 1736 5 the the DT 63372 1736 6 rotation rotation NN 63372 1736 7 of of IN 63372 1736 8 the the DT 63372 1736 9 disk disk NN 63372 1736 10 would would MD 63372 1736 11 say say VB 63372 1736 12 that that IN 63372 1736 13 the the DT 63372 1736 14 force force NN 63372 1736 15 was be VBD 63372 1736 16 centrifugal centrifugal JJ 63372 1736 17 force force NN 63372 1736 18 ; ; : 63372 1736 19 that that RB 63372 1736 20 is is RB 63372 1736 21 , , , 63372 1736 22 the the DT 63372 1736 23 force force NN 63372 1736 24 due due IN 63372 1736 25 to to IN 63372 1736 26 inertia inertia NN 63372 1736 27 which which WDT 63372 1736 28 a a DT 63372 1736 29 body body NN 63372 1736 30 always always RB 63372 1736 31 exerts exert NNS 63372 1736 32 when when WRB 63372 1736 33 it -PRON- PRP 63372 1736 34 is be VBZ 63372 1736 35 accelerated accelerate VBN 63372 1736 36 . . . 63372 1737 1 Next next RB 63372 1737 2 suppose suppose VB 63372 1737 3 the the DT 63372 1737 4 observer observer NN 63372 1737 5 to to TO 63372 1737 6 stand stand VB 63372 1737 7 at at IN 63372 1737 8 the the DT 63372 1737 9 point point NN 63372 1737 10 of of IN 63372 1737 11 the the DT 63372 1737 12 disk disk NN 63372 1737 13 where where WRB 63372 1737 14 he -PRON- PRP 63372 1737 15 feels feel VBZ 63372 1737 16 no no DT 63372 1737 17 force force NN 63372 1737 18 , , , 63372 1737 19 and and CC 63372 1737 20 to to TO 63372 1737 21 watch watch VB 63372 1737 22 someone someone NN 63372 1737 23 else else RB 63372 1737 24 comparing compare VBG 63372 1737 25 , , , 63372 1737 26 by by IN 63372 1737 27 repeated repeat VBN 63372 1737 28 applications application NNS 63372 1737 29 of of IN 63372 1737 30 a a DT 63372 1737 31 small small JJ 63372 1737 32 measuring measuring NN 63372 1737 33 rod rod NN 63372 1737 34 , , , 63372 1737 35 the the DT 63372 1737 36 circumference circumference NN 63372 1737 37 of of IN 63372 1737 38 a a DT 63372 1737 39 circle circle NN 63372 1737 40 having have VBG 63372 1737 41 its -PRON- PRP$ 63372 1737 42 center center NN 63372 1737 43 at at IN 63372 1737 44 that that DT 63372 1737 45 point point NN 63372 1737 46 , , , 63372 1737 47 with with IN 63372 1737 48 its -PRON- PRP$ 63372 1737 49 diameter diameter NN 63372 1737 50 . . . 63372 1738 1 The the DT 63372 1738 2 measuring measuring NN 63372 1738 3 rod rod NN 63372 1738 4 when when WRB 63372 1738 5 laid lay VBN 63372 1738 6 along along IN 63372 1738 7 the the DT 63372 1738 8 circumference circumference NN 63372 1738 9 is be VBZ 63372 1738 10 moving move VBG 63372 1738 11 lengthwise lengthwise RB 63372 1738 12 relatively relatively RB 63372 1738 13 to to IN 63372 1738 14 the the DT 63372 1738 15 observer observer NN 63372 1738 16 , , , 63372 1738 17 and and CC 63372 1738 18 is be VBZ 63372 1738 19 therefore therefore RB 63372 1738 20 subject subject JJ 63372 1738 21 to to IN 63372 1738 22 contraction contraction NN 63372 1738 23 by by IN 63372 1738 24 his -PRON- PRP$ 63372 1738 25 reckoning reckoning NN 63372 1738 26 . . . 63372 1739 1 When when WRB 63372 1739 2 laid lay VBN 63372 1739 3 radially radially NN 63372 1739 4 to to TO 63372 1739 5 measure measure VB 63372 1739 6 the the DT 63372 1739 7 diameter diameter NN 63372 1739 8 this this DT 63372 1739 9 contraction contraction NN 63372 1739 10 does do VBZ 63372 1739 11 not not RB 63372 1739 12 occur occur VB 63372 1739 13 . . . 63372 1740 1 The the DT 63372 1740 2 rod rod NN 63372 1740 3 will will MD 63372 1740 4 therefore therefore RB 63372 1740 5 require require VB 63372 1740 6 a a DT 63372 1740 7 greater great JJR 63372 1740 8 proportional proportional JJ 63372 1740 9 number number NN 63372 1740 10 of of IN 63372 1740 11 applications application NNS 63372 1740 12 to to IN 63372 1740 13 the the DT 63372 1740 14 circumference circumference NN 63372 1740 15 than than IN 63372 1740 16 to to IN 63372 1740 17 the the DT 63372 1740 18 diameter diameter NN 63372 1740 19 , , , 63372 1740 20 and and CC 63372 1740 21 the the DT 63372 1740 22 number number NN 63372 1740 23 representing represent VBG 63372 1740 24 the the DT 63372 1740 25 ratio ratio NN 63372 1740 26 of of IN 63372 1740 27 the the DT 63372 1740 28 circumference circumference NN 63372 1740 29 of of IN 63372 1740 30 the the DT 63372 1740 31 circle circle NN 63372 1740 32 to to IN 63372 1740 33 the the DT 63372 1740 34 diameter diameter NN 63372 1740 35 thus thus RB 63372 1740 36 measured measure VBN 63372 1740 37 will will MD 63372 1740 38 therefore therefore RB 63372 1740 39 be be VB 63372 1740 40 greater great JJR 63372 1740 41 than than IN 63372 1740 42 3.14159 3.14159 CD 63372 1740 43 + + SYM 63372 1740 44 , , , 63372 1740 45 which which WDT 63372 1740 46 is be VBZ 63372 1740 47 its -PRON- PRP$ 63372 1740 48 normal normal JJ 63372 1740 49 value value NN 63372 1740 50 . . . 63372 1741 1 Moreover moreover RB 63372 1741 2 the the DT 63372 1741 3 relative relative JJ 63372 1741 4 velocity velocity NN 63372 1741 5 decreases decrease VBZ 63372 1741 6 as as IN 63372 1741 7 the the DT 63372 1741 8 center center NN 63372 1741 9 is be VBZ 63372 1741 10 approached approach VBN 63372 1741 11 , , , 63372 1741 12 so so IN 63372 1741 13 that that IN 63372 1741 14 the the DT 63372 1741 15 contraction contraction NN 63372 1741 16 of of IN 63372 1741 17 the the DT 63372 1741 18 measuring measuring NN 63372 1741 19 rod rod NN 63372 1741 20 is be VBZ 63372 1741 21 less less JJR 63372 1741 22 when when WRB 63372 1741 23 applied apply VBN 63372 1741 24 to to IN 63372 1741 25 a a DT 63372 1741 26 smaller small JJR 63372 1741 27 circle circle NN 63372 1741 28 ; ; : 63372 1741 29 and and CC 63372 1741 30 the the DT 63372 1741 31 ratio ratio NN 63372 1741 32 of of IN 63372 1741 33 the the DT 63372 1741 34 circumference circumference NN 63372 1741 35 to to IN 63372 1741 36 the the DT 63372 1741 37 diameter diameter NN 63372 1741 38 , , , 63372 1741 39 while while IN 63372 1741 40 still still RB 63372 1741 41 greater great JJR 63372 1741 42 than than IN 63372 1741 43 the the DT 63372 1741 44 normal normal JJ 63372 1741 45 , , , 63372 1741 46 will will MD 63372 1741 47 be be VB 63372 1741 48 nearer nearer JJ 63372 1741 49 to to IN 63372 1741 50 it -PRON- PRP 63372 1741 51 than than IN 63372 1741 52 before before RB 63372 1741 53 , , , 63372 1741 54 and and CC 63372 1741 55 the the DT 63372 1741 56 smaller small JJR 63372 1741 57 the the DT 63372 1741 58 circle circle NN 63372 1741 59 the the DT 63372 1741 60 less less RBR 63372 1741 61 the the DT 63372 1741 62 difference difference NN 63372 1741 63 from from IN 63372 1741 64 the the DT 63372 1741 65 normal normal JJ 63372 1741 66 . . . 63372 1742 1 For for IN 63372 1742 2 circles circle NNS 63372 1742 3 whose whose WP$ 63372 1742 4 centers center NNS 63372 1742 5 are be VBP 63372 1742 6 not not RB 63372 1742 7 at at IN 63372 1742 8 the the DT 63372 1742 9 point point NN 63372 1742 10 of of IN 63372 1742 11 zero zero CD 63372 1742 12 force force NN 63372 1742 13 the the DT 63372 1742 14 confusion confusion NN 63372 1742 15 is be VBZ 63372 1742 16 still still RB 63372 1742 17 greater great JJR 63372 1742 18 , , , 63372 1742 19 since since IN 63372 1742 20 the the DT 63372 1742 21 velocities velocity NNS 63372 1742 22 relative relative JJ 63372 1742 23 to to IN 63372 1742 24 the the DT 63372 1742 25 observer observer NN 63372 1742 26 of of IN 63372 1742 27 points point NNS 63372 1742 28 on on IN 63372 1742 29 them -PRON- PRP 63372 1742 30 now now RB 63372 1742 31 change change VBP 63372 1742 32 from from IN 63372 1742 33 point point NN 63372 1742 34 to to IN 63372 1742 35 point point NN 63372 1742 36 . . . 63372 1743 1 The the DT 63372 1743 2 whole whole JJ 63372 1743 3 scheme scheme NN 63372 1743 4 of of IN 63372 1743 5 geometry geometry NN 63372 1743 6 as as IN 63372 1743 7 we -PRON- PRP 63372 1743 8 know know VBP 63372 1743 9 it -PRON- PRP 63372 1743 10 is be VBZ 63372 1743 11 thus thus RB 63372 1743 12 disorganized disorganize VBN 63372 1743 13 . . . 63372 1744 1 Rigidity rigidity NN 63372 1744 2 becomes become VBZ 63372 1744 3 an an DT 63372 1744 4 unmeaning unmeaning JJ 63372 1744 5 term term NN 63372 1744 6 since since IN 63372 1744 7 the the DT 63372 1744 8 standards standard NNS 63372 1744 9 by by IN 63372 1744 10 which which WDT 63372 1744 11 alone alone JJ 63372 1744 12 rigidity rigidity NN 63372 1744 13 can can MD 63372 1744 14 be be VB 63372 1744 15 tested test VBN 63372 1744 16 are be VBP 63372 1744 17 themselves -PRON- PRP 63372 1744 18 subject subject JJ 63372 1744 19 to to IN 63372 1744 20 alteration alteration NN 63372 1744 21 . . . 63372 1745 1 These these DT 63372 1745 2 facts fact NNS 63372 1745 3 are be VBP 63372 1745 4 expressed express VBN 63372 1745 5 by by IN 63372 1745 6 the the DT 63372 1745 7 statement statement NN 63372 1745 8 that that IN 63372 1745 9 the the DT 63372 1745 10 observer observer NN 63372 1745 11 's 's POS 63372 1745 12 measured measure VBN 63372 1745 13 space space NN 63372 1745 14 is be VBZ 63372 1745 15 non non JJ 63372 1745 16 - - JJ 63372 1745 17 Euclidean euclidean JJ 63372 1745 18 ; ; : 63372 1745 19 that that DT 63372 1745 20 is be VBZ 63372 1745 21 to to TO 63372 1745 22 say say VB 63372 1745 23 , , , 63372 1745 24 in in IN 63372 1745 25 the the DT 63372 1745 26 region region NN 63372 1745 27 under under IN 63372 1745 28 consideration consideration NN 63372 1745 29 measurements measurement NNS 63372 1745 30 do do VBP 63372 1745 31 not not RB 63372 1745 32 conform conform VB 63372 1745 33 to to IN 63372 1745 34 the the DT 63372 1745 35 system system NN 63372 1745 36 of of IN 63372 1745 37 Euclid Euclid NNP 63372 1745 38 . . . 63372 1746 1 The the DT 63372 1746 2 same same JJ 63372 1746 3 confusion confusion NN 63372 1746 4 arises arise VBZ 63372 1746 5 in in IN 63372 1746 6 regard regard NN 63372 1746 7 to to IN 63372 1746 8 clocks clock NNS 63372 1746 9 . . . 63372 1747 1 No no DT 63372 1747 2 two two CD 63372 1747 3 clocks clock NNS 63372 1747 4 will will MD 63372 1747 5 in in IN 63372 1747 6 general general JJ 63372 1747 7 go go VB 63372 1747 8 at at IN 63372 1747 9 the the DT 63372 1747 10 same same JJ 63372 1747 11 rate rate NN 63372 1747 12 , , , 63372 1747 13 and and CC 63372 1747 14 the the DT 63372 1747 15 same same JJ 63372 1747 16 clock clock NN 63372 1747 17 will will MD 63372 1747 18 alter alter VB 63372 1747 19 its -PRON- PRP$ 63372 1747 20 rate rate NN 63372 1747 21 when when WRB 63372 1747 22 moved move VBD 63372 1747 23 about about IN 63372 1747 24 . . . 63372 1748 1 THE the DT 63372 1748 2 GENERAL GENERAL NNP 63372 1748 3 PRINCIPLE PRINCIPLE NNP 63372 1748 4 OF of IN 63372 1748 5 RELATIVITY RELATIVITY NNP 63372 1748 6 The the DT 63372 1748 7 region region NN 63372 1748 8 therefore therefore RB 63372 1748 9 requires require VBZ 63372 1748 10 a a DT 63372 1748 11 space space NN 63372 1748 12 - - HYPH 63372 1748 13 time time NN 63372 1748 14 geometry geometry NN 63372 1748 15 of of IN 63372 1748 16 its -PRON- PRP$ 63372 1748 17 own own JJ 63372 1748 18 , , , 63372 1748 19 and and CC 63372 1748 20 be be VB 63372 1748 21 it -PRON- PRP 63372 1748 22 noted note VBN 63372 1748 23 that that IN 63372 1748 24 with with IN 63372 1748 25 this this DT 63372 1748 26 special special JJ 63372 1748 27 geometry geometry NN 63372 1748 28 is be VBZ 63372 1748 29 associated associate VBN 63372 1748 30 a a DT 63372 1748 31 definite definite JJ 63372 1748 32 gravitational gravitational JJ 63372 1748 33 field field NN 63372 1748 34 , , , 63372 1748 35 and and CC 63372 1748 36 if if IN 63372 1748 37 the the DT 63372 1748 38 gravitational gravitational JJ 63372 1748 39 field field NN 63372 1748 40 ceases cease VBZ 63372 1748 41 to to TO 63372 1748 42 exist exist VB 63372 1748 43 , , , 63372 1748 44 for for IN 63372 1748 45 example example NN 63372 1748 46 if if IN 63372 1748 47 the the DT 63372 1748 48 disk disk NN 63372 1748 49 were be VBD 63372 1748 50 brought bring VBN 63372 1748 51 to to IN 63372 1748 52 rest rest VB 63372 1748 53 , , , 63372 1748 54 all all PDT 63372 1748 55 the the DT 63372 1748 56 irregularities irregularity NNS 63372 1748 57 of of IN 63372 1748 58 measurement measurement NN 63372 1748 59 disappear disappear VBP 63372 1748 60 , , , 63372 1748 61 and and CC 63372 1748 62 the the DT 63372 1748 63 geometry geometry NN 63372 1748 64 of of IN 63372 1748 65 the the DT 63372 1748 66 region region NN 63372 1748 67 becomes become VBZ 63372 1748 68 Euclidean euclidean JJ 63372 1748 69 . . . 63372 1749 1 This this DT 63372 1749 2 particular particular JJ 63372 1749 3 case case NN 63372 1749 4 illustrates illustrate VBZ 63372 1749 5 the the DT 63372 1749 6 following follow VBG 63372 1749 7 propositions proposition NNS 63372 1749 8 which which WDT 63372 1749 9 form form VBP 63372 1749 10 the the DT 63372 1749 11 basis basis NN 63372 1749 12 of of IN 63372 1749 13 this this DT 63372 1749 14 part part NN 63372 1749 15 of of IN 63372 1749 16 the the DT 63372 1749 17 theory theory NN 63372 1749 18 of of IN 63372 1749 19 relativity relativity NN 63372 1749 20 : : : 63372 1749 21 ( ( -LRB- 63372 1749 22 1 1 LS 63372 1749 23 ) ) -RRB- 63372 1749 24 Associated associate VBN 63372 1749 25 with with IN 63372 1749 26 every every DT 63372 1749 27 gravitational gravitational JJ 63372 1749 28 field field NN 63372 1749 29 is be VBZ 63372 1749 30 a a DT 63372 1749 31 system system NN 63372 1749 32 of of IN 63372 1749 33 geometry geometry NN 63372 1749 34 , , , 63372 1749 35 that that RB 63372 1749 36 is is RB 63372 1749 37 , , , 63372 1749 38 a a DT 63372 1749 39 structure structure NN 63372 1749 40 of of IN 63372 1749 41 measured measure VBN 63372 1749 42 space space NN 63372 1749 43 peculiar peculiar JJ 63372 1749 44 to to IN 63372 1749 45 that that DT 63372 1749 46 field field NN 63372 1749 47 . . . 63372 1750 1 ( ( -LRB- 63372 1750 2 2 2 LS 63372 1750 3 ) ) -RRB- 63372 1750 4 Inertial Inertial NNP 63372 1750 5 mass mass NN 63372 1750 6 and and CC 63372 1750 7 gravitational gravitational JJ 63372 1750 8 mass mass NN 63372 1750 9 are be VBP 63372 1750 10 one one CD 63372 1750 11 and and CC 63372 1750 12 the the DT 63372 1750 13 same same JJ 63372 1750 14 . . . 63372 1751 1 ( ( -LRB- 63372 1751 2 3 3 LS 63372 1751 3 ) ) -RRB- 63372 1751 4 Since since IN 63372 1751 5 in in IN 63372 1751 6 such such JJ 63372 1751 7 regions region NNS 63372 1751 8 ordinary ordinary JJ 63372 1751 9 methods method NNS 63372 1751 10 of of IN 63372 1751 11 measurement measurement NN 63372 1751 12 fail fail NN 63372 1751 13 , , , 63372 1751 14 owing owe VBG 63372 1751 15 to to IN 63372 1751 16 the the DT 63372 1751 17 indefiniteness indefiniteness NN 63372 1751 18 of of IN 63372 1751 19 the the DT 63372 1751 20 standards standard NNS 63372 1751 21 , , , 63372 1751 22 the the DT 63372 1751 23 systems system NNS 63372 1751 24 of of IN 63372 1751 25 geometry geometry NNP 63372 1751 26 must must MD 63372 1751 27 be be VB 63372 1751 28 independent independent JJ 63372 1751 29 of of IN 63372 1751 30 any any DT 63372 1751 31 particular particular JJ 63372 1751 32 measurements measurement NNS 63372 1751 33 . . . 63372 1752 1 ( ( -LRB- 63372 1752 2 4 4 LS 63372 1752 3 ) ) -RRB- 63372 1752 4 The the DT 63372 1752 5 geometry geometry NN 63372 1752 6 of of IN 63372 1752 7 space space NN 63372 1752 8 in in IN 63372 1752 9 which which WDT 63372 1752 10 no no DT 63372 1752 11 gravitational gravitational JJ 63372 1752 12 field field NN 63372 1752 13 exists exist VBZ 63372 1752 14 in in IN 63372 1752 15 Euclidean Euclidean NNP 63372 1752 16 . . . 63372 1753 1 [ [ -LRB- 63372 1753 2 1 1 LS 63372 1753 3 ] ] -RRB- 63372 1753 4 The the DT 63372 1753 5 connection connection NN 63372 1753 6 between between IN 63372 1753 7 a a DT 63372 1753 8 gravitational gravitational JJ 63372 1753 9 field field NN 63372 1753 10 and and CC 63372 1753 11 its -PRON- PRP$ 63372 1753 12 appropriate appropriate JJ 63372 1753 13 geometry geometry NN 63372 1753 14 suggested suggest VBN 63372 1753 15 by by IN 63372 1753 16 a a DT 63372 1753 17 case case NN 63372 1753 18 in in IN 63372 1753 19 which which WDT 63372 1753 20 acceleration acceleration NN 63372 1753 21 was be VBD 63372 1753 22 their -PRON- PRP$ 63372 1753 23 common common JJ 63372 1753 24 cause cause NN 63372 1753 25 is be VBZ 63372 1753 26 thus thus RB 63372 1753 27 assumed assume VBN 63372 1753 28 to to TO 63372 1753 29 exist exist VB 63372 1753 30 from from IN 63372 1753 31 whatever whatever WDT 63372 1753 32 cause cause NN 63372 1753 33 the the DT 63372 1753 34 gravitational gravitational JJ 63372 1753 35 field field NN 63372 1753 36 arises arise VBZ 63372 1753 37 . . . 63372 1754 1 This this DT 63372 1754 2 of of IN 63372 1754 3 course course NN 63372 1754 4 is be VBZ 63372 1754 5 pure pure JJ 63372 1754 6 hypothesis hypothesis NN 63372 1754 7 , , , 63372 1754 8 to to TO 63372 1754 9 be be VB 63372 1754 10 tested test VBN 63372 1754 11 by by IN 63372 1754 12 experimental experimental JJ 63372 1754 13 trial trial NN 63372 1754 14 of of IN 63372 1754 15 the the DT 63372 1754 16 results result NNS 63372 1754 17 derived derive VBD 63372 1754 18 therefrom therefrom NN 63372 1754 19 . . . 63372 1755 1 Gravitational gravitational JJ 63372 1755 2 fields field NNS 63372 1755 3 arise arise VBP 63372 1755 4 in in IN 63372 1755 5 the the DT 63372 1755 6 presence presence NN 63372 1755 7 of of IN 63372 1755 8 matter matter NN 63372 1755 9 . . . 63372 1756 1 Matter Matter NNP 63372 1756 2 is be VBZ 63372 1756 3 therefore therefore RB 63372 1756 4 presumed presume VBN 63372 1756 5 to to TO 63372 1756 6 be be VB 63372 1756 7 accompanied accompany VBN 63372 1756 8 by by IN 63372 1756 9 a a DT 63372 1756 10 special special JJ 63372 1756 11 geometry geometry NN 63372 1756 12 , , , 63372 1756 13 as as IN 63372 1756 14 though though IN 63372 1756 15 it -PRON- PRP 63372 1756 16 imparted impart VBD 63372 1756 17 some some DT 63372 1756 18 peculiar peculiar JJ 63372 1756 19 kink kink NN 63372 1756 20 or or CC 63372 1756 21 twist twist NN 63372 1756 22 to to IN 63372 1756 23 space space NN 63372 1756 24 which which WDT 63372 1756 25 renders render VBZ 63372 1756 26 the the DT 63372 1756 27 methods method NNS 63372 1756 28 of of IN 63372 1756 29 Euclid euclid JJ 63372 1756 30 inapplicable inapplicable JJ 63372 1756 31 , , , 63372 1756 32 or or CC 63372 1756 33 rather rather RB 63372 1756 34 we -PRON- PRP 63372 1756 35 should should MD 63372 1756 36 say say VB 63372 1756 37 that that IN 63372 1756 38 the the DT 63372 1756 39 geometry geometry NN 63372 1756 40 of of IN 63372 1756 41 Euclid Euclid NNP 63372 1756 42 is be VBZ 63372 1756 43 the the DT 63372 1756 44 particular particular JJ 63372 1756 45 form form NN 63372 1756 46 which which WDT 63372 1756 47 the the DT 63372 1756 48 more more RBR 63372 1756 49 general general JJ 63372 1756 50 geometry geometry NN 63372 1756 51 assumes assume VBZ 63372 1756 52 when when WRB 63372 1756 53 matter matter NN 63372 1756 54 is be VBZ 63372 1756 55 either either CC 63372 1756 56 absent absent JJ 63372 1756 57 or or CC 63372 1756 58 so so RB 63372 1756 59 remote remote JJ 63372 1756 60 as as IN 63372 1756 61 to to TO 63372 1756 62 have have VB 63372 1756 63 no no DT 63372 1756 64 influence influence NN 63372 1756 65 . . . 63372 1757 1 The the DT 63372 1757 2 dropping dropping NN 63372 1757 3 of of IN 63372 1757 4 the the DT 63372 1757 5 notion notion NN 63372 1757 6 of of IN 63372 1757 7 acceleration acceleration NN 63372 1757 8 is be VBZ 63372 1757 9 after after RB 63372 1757 10 all all RB 63372 1757 11 not not RB 63372 1757 12 a a DT 63372 1757 13 very very RB 63372 1757 14 violent violent JJ 63372 1757 15 change change NN 63372 1757 16 in in IN 63372 1757 17 point point NN 63372 1757 18 of of IN 63372 1757 19 view view NN 63372 1757 20 , , , 63372 1757 21 since since IN 63372 1757 22 under under IN 63372 1757 23 any any DT 63372 1757 24 circumstances circumstance NNS 63372 1757 25 the the DT 63372 1757 26 observer observer NN 63372 1757 27 is be VBZ 63372 1757 28 supposed suppose VBN 63372 1757 29 to to TO 63372 1757 30 be be VB 63372 1757 31 unaware unaware JJ 63372 1757 32 of of IN 63372 1757 33 the the DT 63372 1757 34 acceleration acceleration NN 63372 1757 35 . . . 63372 1758 1 All all DT 63372 1758 2 that that WDT 63372 1758 3 he -PRON- PRP 63372 1758 4 is be VBZ 63372 1758 5 aware aware JJ 63372 1758 6 of of IN 63372 1758 7 is be VBZ 63372 1758 8 that that IN 63372 1758 9 a a DT 63372 1758 10 gravitational gravitational JJ 63372 1758 11 field field NN 63372 1758 12 and and CC 63372 1758 13 his -PRON- PRP$ 63372 1758 14 geometry geometry NN 63372 1758 15 coexist coexist NN 63372 1758 16 . . . 63372 1759 1 The the DT 63372 1759 2 prospect prospect NN 63372 1759 3 of of IN 63372 1759 4 constructing construct VBG 63372 1759 5 a a DT 63372 1759 6 system system NN 63372 1759 7 of of IN 63372 1759 8 geometry geometry NN 63372 1759 9 which which WDT 63372 1759 10 does do VBZ 63372 1759 11 not not RB 63372 1759 12 depend depend VB 63372 1759 13 upon upon IN 63372 1759 14 measurement measurement NN 63372 1759 15 may may MD 63372 1759 16 not not RB 63372 1759 17 at at IN 63372 1759 18 first first JJ 63372 1759 19 sight sight NN 63372 1759 20 seem seem VB 63372 1759 21 hopeful hopeful JJ 63372 1759 22 . . . 63372 1760 1 Nevertheless nevertheless RB 63372 1760 2 this this DT 63372 1760 3 has have VBZ 63372 1760 4 been be VBN 63372 1760 5 done do VBN 63372 1760 6 . . . 63372 1761 1 The the DT 63372 1761 2 system system NN 63372 1761 3 consists consist VBZ 63372 1761 4 in in IN 63372 1761 5 defining define VBG 63372 1761 6 points point NNS 63372 1761 7 not not RB 63372 1761 8 by by IN 63372 1761 9 their -PRON- PRP$ 63372 1761 10 distances distance NNS 63372 1761 11 from from IN 63372 1761 12 lines line NNS 63372 1761 13 or or CC 63372 1761 14 planes plane NNS 63372 1761 15 ( ( -LRB- 63372 1761 16 for for IN 63372 1761 17 this this DT 63372 1761 18 would would MD 63372 1761 19 involve involve VB 63372 1761 20 measurement measurement NN 63372 1761 21 ) ) -RRB- 63372 1761 22 but but CC 63372 1761 23 by by IN 63372 1761 24 assigning assigning NN 63372 1761 25 to to IN 63372 1761 26 them -PRON- PRP 63372 1761 27 arbitrary arbitrary JJ 63372 1761 28 numbers number NNS 63372 1761 29 which which WDT 63372 1761 30 serve serve VBP 63372 1761 31 as as IN 63372 1761 32 labels label NNS 63372 1761 33 bearing bear VBG 63372 1761 34 no no DT 63372 1761 35 relation relation NN 63372 1761 36 to to IN 63372 1761 37 measured measure VBN 63372 1761 38 distances distance NNS 63372 1761 39 , , , 63372 1761 40 very very RB 63372 1761 41 much much RB 63372 1761 42 as as IN 63372 1761 43 a a DT 63372 1761 44 house house NN 63372 1761 45 is be VBZ 63372 1761 46 located locate VBN 63372 1761 47 in in IN 63372 1761 48 a a DT 63372 1761 49 town town NN 63372 1761 50 by by IN 63372 1761 51 its -PRON- PRP$ 63372 1761 52 number number NN 63372 1761 53 and and CC 63372 1761 54 street street NN 63372 1761 55 . . . 63372 1762 1 If if IN 63372 1762 2 this this DT 63372 1762 3 labeling labeling NN 63372 1762 4 be be VB 63372 1762 5 done do VBN 63372 1762 6 systematically systematically RB 63372 1762 7 , , , 63372 1762 8 regard regard NN 63372 1762 9 being be VBG 63372 1762 10 had have VBD 63372 1762 11 to to IN 63372 1762 12 the the DT 63372 1762 13 condition condition NN 63372 1762 14 that that IN 63372 1762 15 the the DT 63372 1762 16 label label NN 63372 1762 17 - - HYPH 63372 1762 18 numbers number NNS 63372 1762 19 of of IN 63372 1762 20 points point NNS 63372 1762 21 which which WDT 63372 1762 22 are be VBP 63372 1762 23 close close JJ 63372 1762 24 together together RB 63372 1762 25 should should MD 63372 1762 26 differ differ VB 63372 1762 27 from from IN 63372 1762 28 one one CD 63372 1762 29 another another DT 63372 1762 30 by by IN 63372 1762 31 infinitesimal infinitesimal JJ 63372 1762 32 amounts amount NNS 63372 1762 33 only only RB 63372 1762 34 , , , 63372 1762 35 it -PRON- PRP 63372 1762 36 has have VBZ 63372 1762 37 been be VBN 63372 1762 38 found find VBN 63372 1762 39 that that IN 63372 1762 40 a a DT 63372 1762 41 system system NN 63372 1762 42 of of IN 63372 1762 43 geometry geometry NN 63372 1762 44 can can MD 63372 1762 45 actually actually RB 63372 1762 46 be be VB 63372 1762 47 worked work VBN 63372 1762 48 out out RP 63372 1762 49 . . . 63372 1763 1 Perhaps perhaps RB 63372 1763 2 this this DT 63372 1763 3 will will MD 63372 1763 4 appear appear VB 63372 1763 5 less less RBR 63372 1763 6 artificial artificial JJ 63372 1763 7 when when WRB 63372 1763 8 the the DT 63372 1763 9 fact fact NN 63372 1763 10 is be VBZ 63372 1763 11 called call VBN 63372 1763 12 to to TO 63372 1763 13 mind mind VB 63372 1763 14 that that IN 63372 1763 15 even even RB 63372 1763 16 when when WRB 63372 1763 17 standards standard NNS 63372 1763 18 of of IN 63372 1763 19 length length NN 63372 1763 20 are be VBP 63372 1763 21 available available JJ 63372 1763 22 no no DT 63372 1763 23 more more JJR 63372 1763 24 can can MD 63372 1763 25 be be VB 63372 1763 26 done do VBN 63372 1763 27 to to TO 63372 1763 28 render render VB 63372 1763 29 lengths length NNS 63372 1763 30 of of IN 63372 1763 31 objects object NNS 63372 1763 32 amenable amenable JJ 63372 1763 33 to to IN 63372 1763 34 calculation calculation NN 63372 1763 35 than than IN 63372 1763 36 to to IN 63372 1763 37 assign assign VB 63372 1763 38 numbers number NNS 63372 1763 39 to to IN 63372 1763 40 them -PRON- PRP 63372 1763 41 , , , 63372 1763 42 and and CC 63372 1763 43 this this DT 63372 1763 44 is be VBZ 63372 1763 45 precisely precisely RB 63372 1763 46 what what WP 63372 1763 47 is be VBZ 63372 1763 48 done do VBN 63372 1763 49 in in IN 63372 1763 50 the the DT 63372 1763 51 present present JJ 63372 1763 52 case case NN 63372 1763 53 . . . 63372 1764 1 This this DT 63372 1764 2 system system NN 63372 1764 3 of of IN 63372 1764 4 labeling labeling NN 63372 1764 5 goes go VBZ 63372 1764 6 by by IN 63372 1764 7 the the DT 63372 1764 8 name name NN 63372 1764 9 of of IN 63372 1764 10 " " `` 63372 1764 11 Gaussian gaussian JJ 63372 1764 12 coordinates coordinate NNS 63372 1764 13 " " '' 63372 1764 14 after after IN 63372 1764 15 the the DT 63372 1764 16 mathematician mathematician JJ 63372 1764 17 Gauss Gauss NNP 63372 1764 18 who who WP 63372 1764 19 proposed propose VBD 63372 1764 20 it -PRON- PRP 63372 1764 21 . . . 63372 1765 1 It -PRON- PRP 63372 1765 2 is be VBZ 63372 1765 3 in in IN 63372 1765 4 terms term NNS 63372 1765 5 of of IN 63372 1765 6 Gaussian gaussian JJ 63372 1765 7 coordinates coordinate VBZ 63372 1765 8 that that IN 63372 1765 9 physical physical JJ 63372 1765 10 laws law NNS 63372 1765 11 must must MD 63372 1765 12 be be VB 63372 1765 13 formulated formulate VBN 63372 1765 14 if if IN 63372 1765 15 they -PRON- PRP 63372 1765 16 are be VBP 63372 1765 17 to to TO 63372 1765 18 have have VB 63372 1765 19 their -PRON- PRP$ 63372 1765 20 widest wide JJS 63372 1765 21 generality generality NN 63372 1765 22 , , , 63372 1765 23 and and CC 63372 1765 24 the the DT 63372 1765 25 general general JJ 63372 1765 26 principle principle NN 63372 1765 27 of of IN 63372 1765 28 relativity relativity NN 63372 1765 29 is be VBZ 63372 1765 30 that that IN 63372 1765 31 all all DT 63372 1765 32 Gaussian gaussian JJ 63372 1765 33 systems system NNS 63372 1765 34 are be VBP 63372 1765 35 equivalent equivalent JJ 63372 1765 36 for for IN 63372 1765 37 the the DT 63372 1765 38 statement statement NN 63372 1765 39 of of IN 63372 1765 40 general general JJ 63372 1765 41 physical physical JJ 63372 1765 42 laws law NNS 63372 1765 43 . . . 63372 1766 1 For for IN 63372 1766 2 this this DT 63372 1766 3 purpose purpose NN 63372 1766 4 the the DT 63372 1766 5 labeling labeling NN 63372 1766 6 process process NN 63372 1766 7 is be VBZ 63372 1766 8 applied apply VBN 63372 1766 9 not not RB 63372 1766 10 to to IN 63372 1766 11 ordinary ordinary JJ 63372 1766 12 space space NN 63372 1766 13 but but CC 63372 1766 14 to to IN 63372 1766 15 the the DT 63372 1766 16 four four CD 63372 1766 17 dimensional dimensional JJ 63372 1766 18 space space NN 63372 1766 19 - - HYPH 63372 1766 20 time time NN 63372 1766 21 continuum continuum NN 63372 1766 22 . . . 63372 1767 1 The the DT 63372 1767 2 concept concept NN 63372 1767 3 is be VBZ 63372 1767 4 somewhat somewhat RB 63372 1767 5 difficult difficult JJ 63372 1767 6 and and CC 63372 1767 7 it -PRON- PRP 63372 1767 8 may may MD 63372 1767 9 easily easily RB 63372 1767 10 be be VB 63372 1767 11 aggravated aggravate VBN 63372 1767 12 into into IN 63372 1767 13 impossibility impossibility NN 63372 1767 14 by by IN 63372 1767 15 anyone anyone NN 63372 1767 16 who who WP 63372 1767 17 thinks think VBZ 63372 1767 18 that that IN 63372 1767 19 he -PRON- PRP 63372 1767 20 is be VBZ 63372 1767 21 expected expect VBN 63372 1767 22 to to TO 63372 1767 23 visualize visualize VB 63372 1767 24 it -PRON- PRP 63372 1767 25 . . . 63372 1768 1 Fortunately fortunately RB 63372 1768 2 this this DT 63372 1768 3 is be VBZ 63372 1768 4 not not RB 63372 1768 5 necessary necessary JJ 63372 1768 6 ; ; : 63372 1768 7 it -PRON- PRP 63372 1768 8 is be VBZ 63372 1768 9 merely merely RB 63372 1768 10 one one CD 63372 1768 11 of of IN 63372 1768 12 these these DT 63372 1768 13 irrelevancies irrelevancy NNS 63372 1768 14 to to TO 63372 1768 15 which which WDT 63372 1768 16 those those DT 63372 1768 17 who who WP 63372 1768 18 are be VBP 63372 1768 19 unaccustomed unaccustomed JJ 63372 1768 20 to to TO 63372 1768 21 think think VB 63372 1768 22 in in IN 63372 1768 23 symbols symbol NNS 63372 1768 24 are be VBP 63372 1768 25 liable liable JJ 63372 1768 26 . . . 63372 1769 1 It -PRON- PRP 63372 1769 2 will will MD 63372 1769 3 now now RB 63372 1769 4 be be VB 63372 1769 5 seen see VBN 63372 1769 6 that that IN 63372 1769 7 among among IN 63372 1769 8 physical physical JJ 63372 1769 9 laws law NNS 63372 1769 10 the the DT 63372 1769 11 law law NN 63372 1769 12 of of IN 63372 1769 13 gravitation gravitation NN 63372 1769 14 stands stand VBZ 63372 1769 15 pre pre JJ 63372 1769 16 - - JJ 63372 1769 17 eminent eminent JJ 63372 1769 18 , , , 63372 1769 19 for for IN 63372 1769 20 it -PRON- PRP 63372 1769 21 is be VBZ 63372 1769 22 gravitating gravitate VBG 63372 1769 23 matter matter NN 63372 1769 24 which which WDT 63372 1769 25 determines determine VBZ 63372 1769 26 the the DT 63372 1769 27 geometry geometry NN 63372 1769 28 , , , 63372 1769 29 and and CC 63372 1769 30 the the DT 63372 1769 31 geometry geometry NN 63372 1769 32 determines determine VBZ 63372 1769 33 the the DT 63372 1769 34 form form NN 63372 1769 35 of of IN 63372 1769 36 every every DT 63372 1769 37 other other JJ 63372 1769 38 law law NN 63372 1769 39 . . . 63372 1770 1 The the DT 63372 1770 2 connection connection NN 63372 1770 3 between between IN 63372 1770 4 the the DT 63372 1770 5 geometry geometry NN 63372 1770 6 and and CC 63372 1770 7 gravitation gravitation NN 63372 1770 8 is be VBZ 63372 1770 9 the the DT 63372 1770 10 law law NN 63372 1770 11 of of IN 63372 1770 12 gravitation gravitation NN 63372 1770 13 . . . 63372 1771 1 This this DT 63372 1771 2 law law NN 63372 1771 3 has have VBZ 63372 1771 4 been be VBN 63372 1771 5 worked work VBN 63372 1771 6 out out RP 63372 1771 7 , , , 63372 1771 8 with with IN 63372 1771 9 the the DT 63372 1771 10 result result NN 63372 1771 11 that that IN 63372 1771 12 Newton Newton NNP 63372 1771 13 's 's POS 63372 1771 14 law law NN 63372 1771 15 of of IN 63372 1771 16 the the DT 63372 1771 17 inverse inverse NN 63372 1771 18 square square NN 63372 1771 19 is be VBZ 63372 1771 20 found find VBN 63372 1771 21 to to TO 63372 1771 22 be be VB 63372 1771 23 approximate approximate JJ 63372 1771 24 only only RB 63372 1771 25 , , , 63372 1771 26 but but CC 63372 1771 27 so so RB 63372 1771 28 closely closely RB 63372 1771 29 approximate approximate JJ 63372 1771 30 as as IN 63372 1771 31 to to TO 63372 1771 32 account account VB 63372 1771 33 for for IN 63372 1771 34 nearly nearly RB 63372 1771 35 all all PDT 63372 1771 36 the the DT 63372 1771 37 motions motion NNS 63372 1771 38 of of IN 63372 1771 39 the the DT 63372 1771 40 heavenly heavenly JJ 63372 1771 41 bodies body NNS 63372 1771 42 within within IN 63372 1771 43 the the DT 63372 1771 44 limits limit NNS 63372 1771 45 of of IN 63372 1771 46 observation observation NN 63372 1771 47 . . . 63372 1772 1 It -PRON- PRP 63372 1772 2 has have VBZ 63372 1772 3 already already RB 63372 1772 4 been be VBN 63372 1772 5 seen see VBN 63372 1772 6 that that DT 63372 1772 7 departure departure NN 63372 1772 8 from from IN 63372 1772 9 the the DT 63372 1772 10 Euclidean euclidean JJ 63372 1772 11 system system NN 63372 1772 12 is be VBZ 63372 1772 13 intensified intensify VBN 63372 1772 14 by by IN 63372 1772 15 rapidity rapidity NN 63372 1772 16 of of IN 63372 1772 17 motion motion NN 63372 1772 18 , , , 63372 1772 19 and and CC 63372 1772 20 the the DT 63372 1772 21 movements movement NNS 63372 1772 22 of of IN 63372 1772 23 these these DT 63372 1772 24 bodies body NNS 63372 1772 25 are be VBP 63372 1772 26 usually usually RB 63372 1772 27 too too RB 63372 1772 28 slow slow JJ 63372 1772 29 for for IN 63372 1772 30 this this DT 63372 1772 31 departure departure NN 63372 1772 32 to to TO 63372 1772 33 be be VB 63372 1772 34 manifest manifest JJ 63372 1772 35 . . . 63372 1773 1 In in IN 63372 1773 2 the the DT 63372 1773 3 case case NN 63372 1773 4 of of IN 63372 1773 5 the the DT 63372 1773 6 planet planet NN 63372 1773 7 Mercury Mercury NNP 63372 1773 8 the the DT 63372 1773 9 motion motion NN 63372 1773 10 is be VBZ 63372 1773 11 sufficiently sufficiently RB 63372 1773 12 rapid rapid JJ 63372 1773 13 , , , 63372 1773 14 and and CC 63372 1773 15 an an DT 63372 1773 16 irregularity irregularity NN 63372 1773 17 in in IN 63372 1773 18 its -PRON- PRP$ 63372 1773 19 motion motion NN 63372 1773 20 which which WDT 63372 1773 21 long long RB 63372 1773 22 puzzled puzzle VBD 63372 1773 23 astronomers astronomer NNS 63372 1773 24 has have VBZ 63372 1773 25 been be VBN 63372 1773 26 explained explain VBN 63372 1773 27 by by IN 63372 1773 28 the the DT 63372 1773 29 more more RBR 63372 1773 30 general general JJ 63372 1773 31 law law NN 63372 1773 32 . . . 63372 1774 1 Another another DT 63372 1774 2 deduction deduction NN 63372 1774 3 is be VBZ 63372 1774 4 that that IN 63372 1774 5 light light NN 63372 1774 6 is be VBZ 63372 1774 7 subject subject JJ 63372 1774 8 to to IN 63372 1774 9 gravitation gravitation NN 63372 1774 10 . . . 63372 1775 1 This this DT 63372 1775 2 has have VBZ 63372 1775 3 given give VBN 63372 1775 4 rise rise NN 63372 1775 5 to to IN 63372 1775 6 two two CD 63372 1775 7 predictions prediction NNS 63372 1775 8 , , , 63372 1775 9 one one CD 63372 1775 10 of of IN 63372 1775 11 which which WDT 63372 1775 12 has have VBZ 63372 1775 13 been be VBN 63372 1775 14 verified verify VBN 63372 1775 15 . . . 63372 1776 1 The the DT 63372 1776 2 verification verification NN 63372 1776 3 of of IN 63372 1776 4 the the DT 63372 1776 5 other other JJ 63372 1776 6 is be VBZ 63372 1776 7 as as RB 63372 1776 8 yet yet RB 63372 1776 9 uncertain uncertain JJ 63372 1776 10 , , , 63372 1776 11 though though IN 63372 1776 12 the the DT 63372 1776 13 extreme extreme JJ 63372 1776 14 difficulty difficulty NN 63372 1776 15 of of IN 63372 1776 16 the the DT 63372 1776 17 necessary necessary JJ 63372 1776 18 observations observation NNS 63372 1776 19 may may MD 63372 1776 20 account account VB 63372 1776 21 for for IN 63372 1776 22 this this DT 63372 1776 23 . . . 63372 1777 1 Since since IN 63372 1777 2 light light NN 63372 1777 3 is be VBZ 63372 1777 4 subject subject JJ 63372 1777 5 to to IN 63372 1777 6 gravitation gravitation NN 63372 1777 7 it -PRON- PRP 63372 1777 8 follows follow VBZ 63372 1777 9 that that IN 63372 1777 10 the the DT 63372 1777 11 constancy constancy NN 63372 1777 12 of of IN 63372 1777 13 the the DT 63372 1777 14 velocity velocity NN 63372 1777 15 of of IN 63372 1777 16 light light NN 63372 1777 17 assumed assume VBN 63372 1777 18 in in IN 63372 1777 19 the the DT 63372 1777 20 earlier early JJR 63372 1777 21 part part NN 63372 1777 22 of of IN 63372 1777 23 this this DT 63372 1777 24 paper paper NN 63372 1777 25 does do VBZ 63372 1777 26 not not RB 63372 1777 27 obtain obtain VB 63372 1777 28 in in IN 63372 1777 29 a a DT 63372 1777 30 gravitational gravitational JJ 63372 1777 31 field field NN 63372 1777 32 . . . 63372 1778 1 There there EX 63372 1778 2 is be VBZ 63372 1778 3 really really RB 63372 1778 4 no no DT 63372 1778 5 inconsistency inconsistency NN 63372 1778 6 . . . 63372 1779 1 The the DT 63372 1779 2 velocity velocity NN 63372 1779 3 of of IN 63372 1779 4 light light NN 63372 1779 5 is be VBZ 63372 1779 6 constant constant JJ 63372 1779 7 in in IN 63372 1779 8 the the DT 63372 1779 9 absence absence NN 63372 1779 10 of of IN 63372 1779 11 gravitation gravitation NN 63372 1779 12 , , , 63372 1779 13 a a DT 63372 1779 14 condition condition NN 63372 1779 15 which which WDT 63372 1779 16 unaccelerated unaccelerated JJ 63372 1779 17 motion motion NN 63372 1779 18 implies imply VBZ 63372 1779 19 . . . 63372 1780 1 The the DT 63372 1780 2 special special JJ 63372 1780 3 principle principle NN 63372 1780 4 of of IN 63372 1780 5 relativity relativity NN 63372 1780 6 is be VBZ 63372 1780 7 therefore therefore RB 63372 1780 8 a a DT 63372 1780 9 limiting limiting JJ 63372 1780 10 case case NN 63372 1780 11 of of IN 63372 1780 12 the the DT 63372 1780 13 general general JJ 63372 1780 14 principle principle NN 63372 1780 15 . . . 63372 1781 1 VIII viii VB 63372 1781 2 THE the DT 63372 1781 3 NEW new JJ 63372 1781 4 CONCEPTS concept NNS 63372 1781 5 OF of IN 63372 1781 6 TIME time NN 63372 1781 7 AND and CC 63372 1781 8 SPACE space NN 63372 1781 9 The the DT 63372 1781 10 Essay Essay NNP 63372 1781 11 in in IN 63372 1781 12 Behalf Behalf NNP 63372 1781 13 of of IN 63372 1781 14 Which which WDT 63372 1781 15 the the DT 63372 1781 16 Greatest great JJS 63372 1781 17 Number number NN 63372 1781 18 of of IN 63372 1781 19 Dissenting dissent VBG 63372 1781 20 Opinions Opinions NNPS 63372 1781 21 Have have VBP 63372 1781 22 Been be VBN 63372 1781 23 Recorded record VBN 63372 1781 24 BY by IN 63372 1781 25 MONTGOMERY MONTGOMERY NNP 63372 1781 26 FRANCIS FRANCIS NNP 63372 1781 27 NEW NEW NNP 63372 1781 28 YORK YORK NNP 63372 1781 29 We -PRON- PRP 63372 1781 30 have have VBP 63372 1781 31 all all RB 63372 1781 32 had have VBN 63372 1781 33 experiences experience NNS 63372 1781 34 , , , 63372 1781 35 on on IN 63372 1781 36 trains train NNS 63372 1781 37 and and CC 63372 1781 38 boats boat NNS 63372 1781 39 , , , 63372 1781 40 illustrating illustrate VBG 63372 1781 41 our -PRON- PRP$ 63372 1781 42 inability inability NN 63372 1781 43 to to TO 63372 1781 44 tell tell VB 63372 1781 45 , , , 63372 1781 46 without without IN 63372 1781 47 looking look VBG 63372 1781 48 off off RP 63372 1781 49 to to IN 63372 1781 50 some some DT 63372 1781 51 external external JJ 63372 1781 52 body body NN 63372 1781 53 , , , 63372 1781 54 whether whether IN 63372 1781 55 we -PRON- PRP 63372 1781 56 are be VBP 63372 1781 57 at at IN 63372 1781 58 rest rest NN 63372 1781 59 or or CC 63372 1781 60 moving move VBG 63372 1781 61 uniformly uniformly RB 63372 1781 62 ; ; : 63372 1781 63 and and CC 63372 1781 64 when when WRB 63372 1781 65 we -PRON- PRP 63372 1781 66 do do VBP 63372 1781 67 so so RB 63372 1781 68 look look VB 63372 1781 69 , , , 63372 1781 70 to to TO 63372 1781 71 tell tell VB 63372 1781 72 , , , 63372 1781 73 without without IN 63372 1781 74 reference reference NN 63372 1781 75 to to IN 63372 1781 76 the the DT 63372 1781 77 ground ground NN 63372 1781 78 or or CC 63372 1781 79 some some DT 63372 1781 80 other other JJ 63372 1781 81 point point NN 63372 1781 82 external external JJ 63372 1781 83 to to IN 63372 1781 84 both both DT 63372 1781 85 systems system NNS 63372 1781 86 , , , 63372 1781 87 whether whether IN 63372 1781 88 ours -PRON- PRP 63372 1781 89 or or CC 63372 1781 90 the the DT 63372 1781 91 other other JJ 63372 1781 92 be be VB 63372 1781 93 the the DT 63372 1781 94 seat seat NN 63372 1781 95 of of IN 63372 1781 96 motion motion NN 63372 1781 97 . . . 63372 1782 1 Uniform uniform JJ 63372 1782 2 motion motion NN 63372 1782 3 must must MD 63372 1782 4 be be VB 63372 1782 5 relative relative JJ 63372 1782 6 , , , 63372 1782 7 because because IN 63372 1782 8 we -PRON- PRP 63372 1782 9 find find VBP 63372 1782 10 nowhere nowhere RB 63372 1782 11 in in IN 63372 1782 12 the the DT 63372 1782 13 universe universe NN 63372 1782 14 a a DT 63372 1782 15 body body NN 63372 1782 16 in in IN 63372 1782 17 the the DT 63372 1782 18 unique unique JJ 63372 1782 19 state state NN 63372 1782 20 of of IN 63372 1782 21 absolute absolute JJ 63372 1782 22 rest rest NN 63372 1782 23 from from IN 63372 1782 24 which which WDT 63372 1782 25 alone alone RB 63372 1782 26 absolute absolute JJ 63372 1782 27 motion motion NN 63372 1782 28 might may MD 63372 1782 29 be be VB 63372 1782 30 measured measure VBN 63372 1782 31 . . . 63372 1783 1 True true JJ 63372 1783 2 , , , 63372 1783 3 the the DT 63372 1783 4 wave wave NN 63372 1783 5 theory theory NN 63372 1783 6 of of IN 63372 1783 7 light light NN 63372 1783 8 with with IN 63372 1783 9 its -PRON- PRP$ 63372 1783 10 homogeneous homogeneous JJ 63372 1783 11 space space NN 63372 1783 12 - - HYPH 63372 1783 13 filling fill VBG 63372 1783 14 ether ether NN 63372 1783 15 seemed seem VBD 63372 1783 16 to to TO 63372 1783 17 provide provide VB 63372 1783 18 a a DT 63372 1783 19 reference reference NN 63372 1783 20 standard standard NN 63372 1783 21 for for IN 63372 1783 22 the the DT 63372 1783 23 concept concept NN 63372 1783 24 of of IN 63372 1783 25 absolute absolute JJ 63372 1783 26 motion motion NN 63372 1783 27 , , , 63372 1783 28 and and CC 63372 1783 29 for for IN 63372 1783 30 its -PRON- PRP$ 63372 1783 31 measurement measurement NN 63372 1783 32 by by IN 63372 1783 33 experiment experiment NN 63372 1783 34 with with IN 63372 1783 35 light light JJ 63372 1783 36 rays ray NNS 63372 1783 37 . . . 63372 1784 1 But but CC 63372 1784 2 when when WRB 63372 1784 3 Michelson Michelson NNP 63372 1784 4 and and CC 63372 1784 5 Morley Morley NNP 63372 1784 6 looked look VBD 63372 1784 7 for for IN 63372 1784 8 this this DT 63372 1784 9 absolute absolute JJ 63372 1784 10 motion motion NN 63372 1784 11 they -PRON- PRP 63372 1784 12 found find VBD 63372 1784 13 no no DT 63372 1784 14 trace trace NN 63372 1784 15 of of IN 63372 1784 16 it -PRON- PRP 63372 1784 17 . . . 63372 1785 1 To to IN 63372 1785 2 the the DT 63372 1785 3 physicist physicist JJ 63372 1785 4 , , , 63372 1785 5 observational observational JJ 63372 1785 6 student student NN 63372 1785 7 of of IN 63372 1785 8 the the DT 63372 1785 9 external external JJ 63372 1785 10 world world NN 63372 1785 11 , , , 63372 1785 12 nothing nothing NN 63372 1785 13 exists exist VBZ 63372 1785 14 save save VB 63372 1785 15 observationally observationally RB 63372 1785 16 ; ; : 63372 1785 17 what what WP 63372 1785 18 he -PRON- PRP 63372 1785 19 can can MD 63372 1785 20 never never RB 63372 1785 21 observe observe VB 63372 1785 22 is be VBZ 63372 1785 23 not not RB 63372 1785 24 there there RB 63372 1785 25 . . . 63372 1786 1 So so CC 63372 1786 2 : : : 63372 1786 3 I. I. NNP 63372 1787 1 By by IN 63372 1787 2 no no DT 63372 1787 3 means means NN 63372 1787 4 whatever whatever WDT 63372 1787 5 may may MD 63372 1787 6 we -PRON- PRP 63372 1787 7 regard regard VB 63372 1787 8 uniform uniform JJ 63372 1787 9 straight straight JJ 63372 1787 10 - - HYPH 63372 1787 11 line line NN 63372 1787 12 motion motion NN 63372 1787 13 as as IN 63372 1787 14 other other JJ 63372 1787 15 than than IN 63372 1787 16 relative relative JJ 63372 1787 17 . . . 63372 1788 1 As as IN 63372 1788 2 a a DT 63372 1788 3 further further JJ 63372 1788 4 direct direct JJ 63372 1788 5 consequence consequence NN 63372 1788 6 of of IN 63372 1788 7 the the DT 63372 1788 8 Michelson Michelson NNP 63372 1788 9 - - HYPH 63372 1788 10 Morley Morley NNP 63372 1788 11 experiment experiment NN 63372 1788 12 we -PRON- PRP 63372 1788 13 have have VBP 63372 1788 14 : : : 63372 1788 15 II ii CD 63372 1788 16 . . . 63372 1789 1 Light light NN 63372 1789 2 in in IN 63372 1789 3 a a DT 63372 1789 4 vacuum vacuum NN 63372 1789 5 presents present VBZ 63372 1789 6 the the DT 63372 1789 7 same same JJ 63372 1789 8 velocity velocity NN 63372 1789 9 , , , 63372 1789 10 $ $ $ 63372 1789 11 C c NN 63372 1789 12 = = SYM 63372 1789 13 186,330 186,330 CD 63372 1789 14 $ $ $ 63372 1789 15 miles mile NNS 63372 1789 16 per per IN 63372 1789 17 second second NN 63372 1789 18 , , , 63372 1789 19 to to IN 63372 1789 20 all all DT 63372 1789 21 observers observer NNS 63372 1789 22 whatever whatever WDT 63372 1789 23 their -PRON- PRP$ 63372 1789 24 velocity velocity NN 63372 1789 25 of of IN 63372 1789 26 relative relative JJ 63372 1789 27 motion motion NN 63372 1789 28 . . . 63372 1790 1 In in IN 63372 1790 2 addition addition NN 63372 1790 3 to to IN 63372 1790 4 being be VBG 63372 1790 5 experimentally experimentally RB 63372 1790 6 established establish VBN 63372 1790 7 , , , 63372 1790 8 this this DT 63372 1790 9 is be VBZ 63372 1790 10 necessary necessary JJ 63372 1790 11 to to TO 63372 1790 12 support support VB 63372 1790 13 I -PRON- PRP 63372 1790 14 , , , 63372 1790 15 for for IN 63372 1790 16 if if IN 63372 1790 17 light light NN 63372 1790 18 will will MD 63372 1790 19 distinguish distinguish VB 63372 1790 20 between between IN 63372 1790 21 our -PRON- PRP$ 63372 1790 22 velocities velocity NNS 63372 1790 23 , , , 63372 1790 24 its -PRON- PRP$ 63372 1790 25 medium medium NN 63372 1790 26 is be VBZ 63372 1790 27 necessarily necessarily RB 63372 1790 28 a a DT 63372 1790 29 universal universal JJ 63372 1790 30 standard standard NN 63372 1790 31 for for IN 63372 1790 32 absolute absolute JJ 63372 1790 33 motion motion NN 63372 1790 34 . . . 63372 1791 1 But but CC 63372 1791 2 it -PRON- PRP 63372 1791 3 is be VBZ 63372 1791 4 contrary contrary JJ 63372 1791 5 to to IN 63372 1791 6 common common JJ 63372 1791 7 sense sense NN 63372 1791 8 to to TO 63372 1791 9 suppose suppose VB 63372 1791 10 that that IN 63372 1791 11 if if IN 63372 1791 12 I -PRON- PRP 63372 1791 13 pass pass VBP 63372 1791 14 you -PRON- PRP 63372 1791 15 at at IN 63372 1791 16 100 100 CD 63372 1791 17 miles mile NNS 63372 1791 18 per per IN 63372 1791 19 hour hour NN 63372 1791 20 , , , 63372 1791 21 the the DT 63372 1791 22 same same JJ 63372 1791 23 light light NN 63372 1791 24 impulse impulse NN 63372 1791 25 can can MD 63372 1791 26 pass pass VB 63372 1791 27 us -PRON- PRP 63372 1791 28 both both CC 63372 1791 29 at at IN 63372 1791 30 the the DT 63372 1791 31 same same JJ 63372 1791 32 speed speed NN 63372 1791 33 , , , 63372 1791 34 $ $ $ 63372 1791 35 C$ c$ $ 63372 1791 36 . . . 63372 1792 1 We -PRON- PRP 63372 1792 2 feel feel VBP 63372 1792 3 , , , 63372 1792 4 instinctively instinctively RB 63372 1792 5 , , , 63372 1792 6 that that DT 63372 1792 7 space space NN 63372 1792 8 and and CC 63372 1792 9 time time NN 63372 1792 10 are be VBP 63372 1792 11 not not RB 63372 1792 12 so so RB 63372 1792 13 constituted constituted JJ 63372 1792 14 as as IN 63372 1792 15 to to TO 63372 1792 16 make make VB 63372 1792 17 this this DT 63372 1792 18 possible possible JJ 63372 1792 19 . . . 63372 1793 1 But but CC 63372 1793 2 the the DT 63372 1793 3 fact fact NN 63372 1793 4 has have VBZ 63372 1793 5 been be VBN 63372 1793 6 repeatedly repeatedly RB 63372 1793 7 demonstrated demonstrate VBN 63372 1793 8 . . . 63372 1794 1 And and CC 63372 1794 2 when when WRB 63372 1794 3 common common JJ 63372 1794 4 sense sense NN 63372 1794 5 and and CC 63372 1794 6 fundamental fundamental JJ 63372 1794 7 concepts concept NNS 63372 1794 8 clash clash VBP 63372 1794 9 with with IN 63372 1794 10 facts fact NNS 63372 1794 11 , , , 63372 1794 12 it -PRON- PRP 63372 1794 13 is be VBZ 63372 1794 14 not not RB 63372 1794 15 the the DT 63372 1794 16 facts fact NNS 63372 1794 17 that that WDT 63372 1794 18 must must MD 63372 1794 19 yield yield VB 63372 1794 20 . . . 63372 1795 1 We -PRON- PRP 63372 1795 2 have have VBP 63372 1795 3 survived survive VBN 63372 1795 4 such such JJ 63372 1795 5 crises crisis NNS 63372 1795 6 , , , 63372 1795 7 notably notably RB 63372 1795 8 one one CD 63372 1795 9 where where WRB 63372 1795 10 we -PRON- PRP 63372 1795 11 had have VBD 63372 1795 12 to to TO 63372 1795 13 change change VB 63372 1795 14 the the DT 63372 1795 15 fundamental fundamental JJ 63372 1795 16 concept concept NN 63372 1795 17 of of IN 63372 1795 18 up up IN 63372 1795 19 - - HYPH 63372 1795 20 and and CC 63372 1795 21 - - HYPH 63372 1795 22 down down NN 63372 1795 23 ; ; : 63372 1795 24 if if IN 63372 1795 25 another another DT 63372 1795 26 one one NN 63372 1795 27 is be VBZ 63372 1795 28 here here RB 63372 1795 29 , , , 63372 1795 30 says say VBZ 63372 1795 31 Einstein Einstein NNP 63372 1795 32 , , , 63372 1795 33 let let VBD 63372 1795 34 us -PRON- PRP 63372 1795 35 meet meet VB 63372 1795 36 it -PRON- PRP 63372 1795 37 . . . 63372 1796 1 This this DT 63372 1796 2 the the DT 63372 1796 3 Special Special NNP 63372 1796 4 Theory Theory NNP 63372 1796 5 of of IN 63372 1796 6 Relativity Relativity NNP 63372 1796 7 does do VBZ 63372 1796 8 . . . 63372 1797 1 It -PRON- PRP 63372 1797 2 accepts accept VBZ 63372 1797 3 Postulates Postulates NNPS 63372 1797 4 I -PRON- PRP 63372 1797 5 and and CC 63372 1797 6 II ii NN 63372 1797 7 above above RB 63372 1797 8 ; ; : 63372 1797 9 their -PRON- PRP$ 63372 1797 10 consequences consequence NNS 63372 1797 11 it -PRON- PRP 63372 1797 12 deduces deduce VBZ 63372 1797 13 and and CC 63372 1797 14 interprets interpret VBZ 63372 1797 15 . . . 63372 1798 1 For for IN 63372 1798 2 extensive extensive JJ 63372 1798 3 demonstration demonstration NN 63372 1798 4 of of IN 63372 1798 5 these these DT 63372 1798 6 I -PRON- PRP 63372 1798 7 lack lack VBP 63372 1798 8 space space NN 63372 1798 9 , , , 63372 1798 10 and and CC 63372 1798 11 this this DT 63372 1798 12 has have VBZ 63372 1798 13 been be VBN 63372 1798 14 satisfactorily satisfactorily RB 63372 1798 15 done do VBN 63372 1798 16 by by IN 63372 1798 17 others other NNS 63372 1798 18 so so IN 63372 1798 19 it -PRON- PRP 63372 1798 20 is be VBZ 63372 1798 21 not not RB 63372 1798 22 my -PRON- PRP$ 63372 1798 23 chief chief JJ 63372 1798 24 duty duty NN 63372 1798 25 ; ; : 63372 1798 26 but but CC 63372 1798 27 clearly clearly RB 63372 1798 28 they -PRON- PRP 63372 1798 29 will will MD 63372 1798 30 be be VB 63372 1798 31 startling startling JJ 63372 1798 32 . . . 63372 1799 1 For for IN 63372 1799 2 the the DT 63372 1799 3 very very JJ 63372 1799 4 ray ray NN 63372 1799 5 of of IN 63372 1799 6 light light NN 63372 1799 7 which which WDT 63372 1799 8 refuses refuse VBZ 63372 1799 9 to to TO 63372 1799 10 recognize recognize VB 63372 1799 11 our -PRON- PRP$ 63372 1799 12 relative relative JJ 63372 1799 13 motion motion NN 63372 1799 14 is be VBZ 63372 1799 15 the the DT 63372 1799 16 medium medium NN 63372 1799 17 through through IN 63372 1799 18 which which WDT 63372 1799 19 I -PRON- PRP 63372 1799 20 must must MD 63372 1799 21 observe observe VB 63372 1799 22 your -PRON- PRP$ 63372 1799 23 system system NN 63372 1799 24 and and CC 63372 1799 25 you -PRON- PRP 63372 1799 26 mine mine VBP 63372 1799 27 . . . 63372 1800 1 It -PRON- PRP 63372 1800 2 turns turn VBZ 63372 1800 3 out out RP 63372 1800 4 that that IN 63372 1800 5 I -PRON- PRP 63372 1800 6 get get VBP 63372 1800 7 different different JJ 63372 1800 8 values value NNS 63372 1800 9 for for IN 63372 1800 10 lengths length NNS 63372 1800 11 and and CC 63372 1800 12 time time NN 63372 1800 13 intervals interval NNS 63372 1800 14 in in IN 63372 1800 15 your -PRON- PRP$ 63372 1800 16 system system NN 63372 1800 17 than than IN 63372 1800 18 you -PRON- PRP 63372 1800 19 get get VBP 63372 1800 20 , , , 63372 1800 21 and and CC 63372 1800 22 vice vice NN 63372 1800 23 versa versa RB 63372 1800 24 . . . 63372 1801 1 And and CC 63372 1801 2 we -PRON- PRP 63372 1801 3 are be VBP 63372 1801 4 both both RB 63372 1801 5 right right JJ 63372 1801 6 ! ! . 63372 1802 1 For for IN 63372 1802 2 me -PRON- PRP 63372 1802 3 to to TO 63372 1802 4 accept accept VB 63372 1802 5 your -PRON- PRP$ 63372 1802 6 " " `` 63372 1802 7 correction correction NN 63372 1802 8 " " '' 63372 1802 9 were be VBD 63372 1802 10 for for IN 63372 1802 11 me -PRON- PRP 63372 1802 12 to to TO 63372 1802 13 admit admit VB 63372 1802 14 that that IN 63372 1802 15 you -PRON- PRP 63372 1802 16 are be VBP 63372 1802 17 at at IN 63372 1802 18 absolute absolute JJ 63372 1802 19 rest rest NN 63372 1802 20 and and CC 63372 1802 21 I -PRON- PRP 63372 1802 22 in in IN 63372 1802 23 absolute absolute JJ 63372 1802 24 motion motion NN 63372 1802 25 , , , 63372 1802 26 that that IN 63372 1802 27 your -PRON- PRP$ 63372 1802 28 measure measure NN 63372 1802 29 of of IN 63372 1802 30 light light JJ 63372 1802 31 velocity velocity NN 63372 1802 32 is be VBZ 63372 1802 33 right right JJ 63372 1802 34 and and CC 63372 1802 35 mine mine PRP$ 63372 1802 36 wrong wrong JJ 63372 1802 37 : : : 63372 1802 38 admissions admission NNS 63372 1802 39 barred bar VBN 63372 1802 40 by by IN 63372 1802 41 the the DT 63372 1802 42 postulates postulate NNS 63372 1802 43 . . . 63372 1803 1 We -PRON- PRP 63372 1803 2 have have VBP 63372 1803 3 nothing nothing NN 63372 1803 4 to to TO 63372 1803 5 correct correct VB 63372 1803 6 ; ; : 63372 1803 7 we -PRON- PRP 63372 1803 8 can can MD 63372 1803 9 only only RB 63372 1803 10 recognize recognize VB 63372 1803 11 the the DT 63372 1803 12 reason reason NN 63372 1803 13 for for IN 63372 1803 14 the the DT 63372 1803 15 discrepancy discrepancy NN 63372 1803 16 ; ; : 63372 1803 17 and and CC 63372 1803 18 knowing know VBG 63372 1803 19 our -PRON- PRP$ 63372 1803 20 relative relative JJ 63372 1803 21 velocity velocity NN 63372 1803 22 , , , 63372 1803 23 each each DT 63372 1803 24 can can MD 63372 1803 25 calculate calculate VB 63372 1803 26 from from IN 63372 1803 27 his -PRON- PRP$ 63372 1803 28 own own JJ 63372 1803 29 results result NNS 63372 1803 30 what what WP 63372 1803 31 the the DT 63372 1803 32 other other JJ 63372 1803 33 's 's POS 63372 1803 34 will will MD 63372 1803 35 be be VB 63372 1803 36 . . . 63372 1804 1 We -PRON- PRP 63372 1804 2 find find VBP 63372 1804 3 , , , 63372 1804 4 of of IN 63372 1804 5 course course NN 63372 1804 6 , , , 63372 1804 7 that that IN 63372 1804 8 at at IN 63372 1804 9 ordinary ordinary JJ 63372 1804 10 velocities velocity NNS 63372 1804 11 the the DT 63372 1804 12 discrepancy discrepancy NN 63372 1804 13 is be VBZ 63372 1804 14 many many JJ 63372 1804 15 times time NNS 63372 1804 16 too too RB 63372 1804 17 small small JJ 63372 1804 18 for for IN 63372 1804 19 detection detection NN 63372 1804 20 ; ; : 63372 1804 21 but but CC 63372 1804 22 at at IN 63372 1804 23 relative relative JJ 63372 1804 24 velocities velocity NNS 63372 1804 25 at at RB 63372 1804 26 all all RB 63372 1804 27 comparable comparable JJ 63372 1804 28 with with IN 63372 1804 29 that that DT 63372 1804 30 of of IN 63372 1804 31 light light NN 63372 1804 32 it -PRON- PRP 63372 1804 33 rises rise VBZ 63372 1804 34 above above IN 63372 1804 35 the the DT 63372 1804 36 observational observational JJ 63372 1804 37 horizon horizon NN 63372 1804 38 . . . 63372 1805 1 To to TO 63372 1805 2 inquire inquire VB 63372 1805 3 the the DT 63372 1805 4 " " `` 63372 1805 5 true true JJ 63372 1805 6 " " '' 63372 1805 7 length length NN 63372 1805 8 is be VBZ 63372 1805 9 meaningless meaningless JJ 63372 1805 10 . . . 63372 1806 1 Chicago Chicago NNP 63372 1806 2 is be VBZ 63372 1806 3 east east NN 63372 1806 4 of of IN 63372 1806 5 Denver Denver NNP 63372 1806 6 , , , 63372 1806 7 west west NN 63372 1806 8 of of IN 63372 1806 9 Pittsburgh Pittsburgh NNP 63372 1806 10 , , , 63372 1806 11 south south NN 63372 1806 12 of of IN 63372 1806 13 Milwaukee Milwaukee NNP 63372 1806 14 ; ; : 63372 1806 15 we -PRON- PRP 63372 1806 16 do do VBP 63372 1806 17 not not RB 63372 1806 18 consider consider VB 63372 1806 19 this this DT 63372 1806 20 contradictory contradictory JJ 63372 1806 21 , , , 63372 1806 22 or or CC 63372 1806 23 demand demand VB 63372 1806 24 the the DT 63372 1806 25 " " `` 63372 1806 26 true true JJ 63372 1806 27 " " '' 63372 1806 28 direction direction NN 63372 1806 29 of of IN 63372 1806 30 Chicago Chicago NNP 63372 1806 31 . . . 63372 1807 1 Einstein Einstein NNP 63372 1807 2 finds find VBZ 63372 1807 3 that that IN 63372 1807 4 the the DT 63372 1807 5 concept concept NN 63372 1807 6 of of IN 63372 1807 7 length length NN 63372 1807 8 , , , 63372 1807 9 between between IN 63372 1807 10 points point NNS 63372 1807 11 in in IN 63372 1807 12 space space NN 63372 1807 13 or or CC 63372 1807 14 events event NNS 63372 1807 15 in in IN 63372 1807 16 time time NN 63372 1807 17 , , , 63372 1807 18 does do VBZ 63372 1807 19 not not RB 63372 1807 20 as as IN 63372 1807 21 we -PRON- PRP 63372 1807 22 had have VBD 63372 1807 23 supposed suppose VBN 63372 1807 24 represent represent VB 63372 1807 25 an an DT 63372 1807 26 intrinsic intrinsic JJ 63372 1807 27 property property NN 63372 1807 28 of of IN 63372 1807 29 the the DT 63372 1807 30 points point NNS 63372 1807 31 or or CC 63372 1807 32 the the DT 63372 1807 33 events event NNS 63372 1807 34 . . . 63372 1808 1 Like like IN 63372 1808 2 direction direction NN 63372 1808 3 , , , 63372 1808 4 it -PRON- PRP 63372 1808 5 is be VBZ 63372 1808 6 merely merely RB 63372 1808 7 a a DT 63372 1808 8 relation relation NN 63372 1808 9 between between IN 63372 1808 10 these these DT 63372 1808 11 and and CC 63372 1808 12 the the DT 63372 1808 13 observer observer NN 63372 1808 14 -- -- : 63372 1808 15 a a DT 63372 1808 16 relation relation NN 63372 1808 17 whose whose WP$ 63372 1808 18 value value NN 63372 1808 19 changes change NNS 63372 1808 20 with with IN 63372 1808 21 the the DT 63372 1808 22 observer observer NN 63372 1808 23 's 's POS 63372 1808 24 velocity velocity NN 63372 1808 25 relative relative JJ 63372 1808 26 to to IN 63372 1808 27 the the DT 63372 1808 28 object object NN 63372 1808 29 . . . 63372 1809 1 If if IN 63372 1809 2 our -PRON- PRP$ 63372 1809 3 ideas idea NNS 63372 1809 4 of of IN 63372 1809 5 the the DT 63372 1809 6 part part NN 63372 1809 7 played play VBN 63372 1809 8 in in IN 63372 1809 9 the the DT 63372 1809 10 world world NN 63372 1809 11 by by IN 63372 1809 12 time time NN 63372 1809 13 and and CC 63372 1809 14 space space NN 63372 1809 15 do do VBP 63372 1809 16 not not RB 63372 1809 17 permit permit VB 63372 1809 18 us -PRON- PRP 63372 1809 19 to to TO 63372 1809 20 believe believe VB 63372 1809 21 this this DT 63372 1809 22 , , , 63372 1809 23 we -PRON- PRP 63372 1809 24 must must MD 63372 1809 25 alter alter VB 63372 1809 26 these these DT 63372 1809 27 ideas idea NNS 63372 1809 28 . . . 63372 1810 1 Let let VB 63372 1810 2 us -PRON- PRP 63372 1810 3 see see VB 63372 1810 4 how how WRB 63372 1810 5 we -PRON- PRP 63372 1810 6 may may MD 63372 1810 7 do do VB 63372 1810 8 this this DT 63372 1810 9 . . . 63372 1811 1 A a DT 63372 1811 2 WORLD world NN 63372 1811 3 OF of IN 63372 1811 4 POINTS POINTS NNP 63372 1811 5 To to TO 63372 1811 6 deal deal VB 63372 1811 7 with with IN 63372 1811 8 points point NNS 63372 1811 9 in in IN 63372 1811 10 a a DT 63372 1811 11 plane plane NN 63372 1811 12 the the DT 63372 1811 13 mathematician mathematician NN 63372 1811 14 draws draw VBZ 63372 1811 15 two two CD 63372 1811 16 perpendicular perpendicular JJ 63372 1811 17 lines line NNS 63372 1811 18 , , , 63372 1811 19 and and CC 63372 1811 20 locates locate VBZ 63372 1811 21 any any DT 63372 1811 22 point point NN 63372 1811 23 , , , 63372 1811 24 as as IN 63372 1811 25 $ $ $ 63372 1811 26 P$ p$ CD 63372 1811 27 , , , 63372 1811 28 by by IN 63372 1811 29 measuring measure VBG 63372 1811 30 its -PRON- PRP$ 63372 1811 31 distances distance NNS 63372 1811 32 , , , 63372 1811 33 $ $ $ 63372 1811 34 X$ x$ NN 63372 1811 35 and and CC 63372 1811 36 $ $ $ 63372 1811 37 Y$ Y$ NNP 63372 1811 38 , , , 63372 1811 39 from from IN 63372 1811 40 these these DT 63372 1811 41 " " `` 63372 1811 42 coordinate coordinate JJ 63372 1811 43 axes axis NNS 63372 1811 44 . . . 63372 1811 45 " " '' 63372 1812 1 The the DT 63372 1812 2 directions direction NNS 63372 1812 3 of of IN 63372 1812 4 his -PRON- PRP$ 63372 1812 5 axes axis NNS 63372 1812 6 acquire acquire VBP 63372 1812 7 for for IN 63372 1812 8 him -PRON- PRP 63372 1812 9 a a DT 63372 1812 10 peculiar peculiar JJ 63372 1812 11 significance significance NN 63372 1812 12 , , , 63372 1812 13 standing stand VBG 63372 1812 14 out out RP 63372 1812 15 above above IN 63372 1812 16 other other JJ 63372 1812 17 directions direction NNS 63372 1812 18 ; ; : 63372 1812 19 he -PRON- PRP 63372 1812 20 is be VBZ 63372 1812 21 apt apt JJ 63372 1812 22 to to TO 63372 1812 23 measure measure VB 63372 1812 24 the the DT 63372 1812 25 distances distance NNS 63372 1812 26 $ $ $ 63372 1812 27 X X NNP 63372 1812 28 - - NNS 63372 1812 29 x$ x$ NNP 63372 1812 30 and and CC 63372 1812 31 $ $ $ 63372 1812 32 Y Y NNP 63372 1812 33 - - HYPH 63372 1812 34 y$ y$ NNP 63372 1812 35 between between IN 63372 1812 36 the the DT 63372 1812 37 points point NNS 63372 1812 38 $ $ $ 63372 1812 39 P$ p$ CD 63372 1812 40 and and CC 63372 1812 41 $ $ $ 63372 1812 42 Q$ q$ NN 63372 1812 43 in in IN 63372 1812 44 these these DT 63372 1812 45 directions direction NNS 63372 1812 46 , , , 63372 1812 47 instead instead RB 63372 1812 48 of of IN 63372 1812 49 measuring measure VBG 63372 1812 50 the the DT 63372 1812 51 single single JJ 63372 1812 52 distance distance NN 63372 1812 53 $ $ $ 63372 1812 54 PQ$. PQ$. . 63372 1813 1 We -PRON- PRP 63372 1813 2 do do VBP 63372 1813 3 the the DT 63372 1813 4 same same JJ 63372 1813 5 thing thing NN 63372 1813 6 when when WRB 63372 1813 7 we -PRON- PRP 63372 1813 8 say say VBP 63372 1813 9 that that IN 63372 1813 10 the the DT 63372 1813 11 railroad railroad NN 63372 1813 12 station station NN 63372 1813 13 is be VBZ 63372 1813 14 five five CD 63372 1813 15 blocks block NNS 63372 1813 16 north north RB 63372 1813 17 and and CC 63372 1813 18 two two CD 63372 1813 19 east east RB 63372 1813 20 . . . 63372 1814 1 The the DT 63372 1814 2 mathematician mathematician NN 63372 1814 3 visualizes visualize VBZ 63372 1814 4 himself -PRON- PRP 63372 1814 5 as as IN 63372 1814 6 an an DT 63372 1814 7 observer observer NN 63372 1814 8 , , , 63372 1814 9 located locate VBN 63372 1814 10 on on IN 63372 1814 11 his -PRON- PRP$ 63372 1814 12 coordinate coordinate JJ 63372 1814 13 framework framework NN 63372 1814 14 . . . 63372 1815 1 For for IN 63372 1815 2 another another DT 63372 1815 3 observer observer NN 63372 1815 4 on on IN 63372 1815 5 another another DT 63372 1815 6 framework framework NN 63372 1815 7 , , , 63372 1815 8 the the DT 63372 1815 9 horizontal horizontal JJ 63372 1815 10 and and CC 63372 1815 11 vertical vertical JJ 63372 1815 12 distances distance NNS 63372 1815 13 $ $ $ 63372 1815 14 X'-x'$ X'-x'$ NNP 63372 1815 15 and and CC 63372 1815 16 $ $ $ 63372 1815 17 Y'-y'$ Y'-y'$ NNP 63372 1815 18 between between IN 63372 1815 19 $ $ $ 63372 1815 20 P$ p$ CD 63372 1815 21 and and CC 63372 1815 22 $ $ $ 63372 1815 23 Q$ q$ WRB 63372 1815 24 are be VBP 63372 1815 25 different different JJ 63372 1815 26 . . . 63372 1816 1 But but CC 63372 1816 2 for for IN 63372 1816 3 both both DT 63372 1816 4 , , , 63372 1816 5 the the DT 63372 1816 6 distance distance NN 63372 1816 7 from from IN 63372 1816 8 $ $ $ 63372 1816 9 P$ P$ NNP 63372 1816 10 direct direct JJ 63372 1816 11 to to IN 63372 1816 12 $ $ $ 63372 1816 13 Q$ Q$ NNP 63372 1816 14 is be VBZ 63372 1816 15 the the DT 63372 1816 16 same same JJ 63372 1816 17 . . . 63372 1817 1 In in IN 63372 1817 2 each each DT 63372 1817 3 case case NN 63372 1817 4 the the DT 63372 1817 5 right right JJ 63372 1817 6 triangle triangle NN 63372 1817 7 tells tell VBZ 63372 1817 8 us -PRON- PRP 63372 1817 9 that that DT 63372 1817 10 : : : 63372 1817 11 $ $ $ 63372 1817 12 $ $ $ 63372 1817 13 PQ pq NN 63372 1817 14 = = SYM 63372 1817 15 \sqrt{(X \sqrt{(X NNP 63372 1817 16 - - HYPH 63372 1817 17 x)^2 x)^2 NNP 63372 1817 18 + + NFP 63372 1817 19 ( ( -LRB- 63372 1817 20 Y Y NNP 63372 1817 21 - - HYPH 63372 1817 22 y)^2 y)^2 NNP 63372 1817 23 } } -RRB- 63372 1817 24 = = NFP 63372 1817 25 \sqrt{(X'-x')^2 \sqrt{(X'-x')^2 NNP 63372 1817 26 + + NFP 63372 1817 27 ( ( -LRB- 63372 1817 28 Y'-y')^2}$$ Y'-y')^2}$$ NNP 63372 1817 29 Imagine imagine VB 63372 1817 30 an an DT 63372 1817 31 observer observer NN 63372 1817 32 so so RB 63372 1817 33 dominated dominate VBN 63372 1817 34 by by IN 63372 1817 35 his -PRON- PRP$ 63372 1817 36 coordinate coordinate JJ 63372 1817 37 system system NN 63372 1817 38 that that WDT 63372 1817 39 he -PRON- PRP 63372 1817 40 knows know VBZ 63372 1817 41 no no DT 63372 1817 42 way way NN 63372 1817 43 of of IN 63372 1817 44 relating relate VBG 63372 1817 45 $ $ $ 63372 1817 46 P$ p$ NN 63372 1817 47 with with IN 63372 1817 48 $ $ $ 63372 1817 49 Q$ q$ NN 63372 1817 50 save save VB 63372 1817 51 by by IN 63372 1817 52 their -PRON- PRP$ 63372 1817 53 horizontal horizontal JJ 63372 1817 54 and and CC 63372 1817 55 vertical vertical JJ 63372 1817 56 separation separation NN 63372 1817 57 . . . 63372 1818 1 His -PRON- PRP$ 63372 1818 2 whole whole JJ 63372 1818 3 scheme scheme NN 63372 1818 4 of of IN 63372 1818 5 things thing NNS 63372 1818 6 would would MD 63372 1818 7 be be VB 63372 1818 8 shattered shatter VBN 63372 1818 9 by by IN 63372 1818 10 the the DT 63372 1818 11 suggestion suggestion NN 63372 1818 12 that that IN 63372 1818 13 other other JJ 63372 1818 14 observers observer NNS 63372 1818 15 on on IN 63372 1818 16 other other JJ 63372 1818 17 reference reference NN 63372 1818 18 frames frame NNS 63372 1818 19 find find VBP 63372 1818 20 different different JJ 63372 1818 21 horizontal horizontal JJ 63372 1818 22 and and CC 63372 1818 23 vertical vertical JJ 63372 1818 24 components component NNS 63372 1818 25 . . . 63372 1819 1 We -PRON- PRP 63372 1819 2 have have VBP 63372 1819 3 to to TO 63372 1819 4 show show VB 63372 1819 5 him -PRON- PRP 63372 1819 6 the the DT 63372 1819 7 line line NN 63372 1819 8 $ $ $ 63372 1819 9 PQ$. pq$. NN 63372 1820 1 We -PRON- PRP 63372 1820 2 have have VBP 63372 1820 3 to to TO 63372 1820 4 convince convince VB 63372 1820 5 him -PRON- PRP 63372 1820 6 that that IN 63372 1820 7 this this DT 63372 1820 8 length length NN 63372 1820 9 is be VBZ 63372 1820 10 the the DT 63372 1820 11 absolute absolute JJ 63372 1820 12 property property NN 63372 1820 13 enjoyed enjoy VBN 63372 1820 14 by by IN 63372 1820 15 his -PRON- PRP$ 63372 1820 16 pair pair NN 63372 1820 17 of of IN 63372 1820 18 points point NNS 63372 1820 19 ; ; : 63372 1820 20 that that IN 63372 1820 21 horizontals horizontal NNS 63372 1820 22 and and CC 63372 1820 23 verticals vertical NNS 63372 1820 24 are be VBP 63372 1820 25 merely merely RB 63372 1820 26 relations relation NNS 63372 1820 27 between between IN 63372 1820 28 the the DT 63372 1820 29 points point NNS 63372 1820 30 and and CC 63372 1820 31 the the DT 63372 1820 32 observer observer NN 63372 1820 33 , , , 63372 1820 34 result result NN 63372 1820 35 of of IN 63372 1820 36 the the DT 63372 1820 37 observer observer NN 63372 1820 38 's 's POS 63372 1820 39 having have VBG 63372 1820 40 analyzed analyze VBN 63372 1820 41 the the DT 63372 1820 42 distance distance NN 63372 1820 43 $ $ $ 63372 1820 44 PQ$ pq$ CD 63372 1820 45 into into IN 63372 1820 46 two two CD 63372 1820 47 components component NNS 63372 1820 48 ; ; : 63372 1820 49 that that IN 63372 1820 50 different different JJ 63372 1820 51 observers observer NNS 63372 1820 52 effect effect VBP 63372 1820 53 this this DT 63372 1820 54 decomposition decomposition NN 63372 1820 55 differently differently RB 63372 1820 56 ; ; : 63372 1820 57 that that IN 63372 1820 58 this this DT 63372 1820 59 seems seem VBZ 63372 1820 60 not not RB 63372 1820 61 to to TO 63372 1820 62 make make VB 63372 1820 63 sense sense NN 63372 1820 64 to to IN 63372 1820 65 him -PRON- PRP 63372 1820 66 only only RB 63372 1820 67 because because IN 63372 1820 68 of of IN 63372 1820 69 his -PRON- PRP$ 63372 1820 70 erroneous erroneous JJ 63372 1820 71 concept concept NN 63372 1820 72 of of IN 63372 1820 73 a a DT 63372 1820 74 fundamental fundamental JJ 63372 1820 75 difference difference NN 63372 1820 76 between between IN 63372 1820 77 verticals vertical NNS 63372 1820 78 and and CC 63372 1820 79 horizontals horizontal NNS 63372 1820 80 . . . 63372 1821 1 THE the DT 63372 1821 2 FOUR FOUR NNP 63372 1821 3 - - HYPH 63372 1821 4 DIMENSIONAL DIMENSIONAL NNP 63372 1821 5 WORLD world NN 63372 1821 6 OF of IN 63372 1821 7 EVENTS EVENTS NNP 63372 1821 8 We -PRON- PRP 63372 1821 9 too too RB 63372 1821 10 have have VBP 63372 1821 11 created create VBN 63372 1821 12 a a DT 63372 1821 13 distinction distinction NN 63372 1821 14 in in IN 63372 1821 15 our -PRON- PRP$ 63372 1821 16 minds mind NNS 63372 1821 17 corresponding correspond VBG 63372 1821 18 to to IN 63372 1821 19 no no DT 63372 1821 20 sufficient sufficient JJ 63372 1821 21 reality reality NN 63372 1821 22 . . . 63372 1822 1 Our -PRON- PRP$ 63372 1822 2 minds mind NNS 63372 1822 3 seize seize VBP 63372 1822 4 on on IN 63372 1822 5 time time NN 63372 1822 6 as as RB 63372 1822 7 inherently inherently RB 63372 1822 8 separable separable JJ 63372 1822 9 from from IN 63372 1822 10 space space NN 63372 1822 11 . . . 63372 1823 1 We -PRON- PRP 63372 1823 2 see see VBP 63372 1823 3 the the DT 63372 1823 4 world world NN 63372 1823 5 made make VBN 63372 1823 6 up up RP 63372 1823 7 of of IN 63372 1823 8 things thing NNS 63372 1823 9 in in IN 63372 1823 10 a a DT 63372 1823 11 continuum continuum NN 63372 1823 12 of of IN 63372 1823 13 three three CD 63372 1823 14 space space NN 63372 1823 15 dimensions dimension NNS 63372 1823 16 ; ; , 63372 1823 17 to to TO 63372 1823 18 make make VB 63372 1823 19 this this DT 63372 1823 20 dead dead JJ 63372 1823 21 world world NN 63372 1823 22 live live VB 63372 1823 23 there there RB 63372 1823 24 runs run VBZ 63372 1823 25 through through IN 63372 1823 26 it -PRON- PRP 63372 1823 27 a a DT 63372 1823 28 one one CD 63372 1823 29 - - HYPH 63372 1823 30 dimensional dimensional JJ 63372 1823 31 time time NN 63372 1823 32 continuum continuum NN 63372 1823 33 , , , 63372 1823 34 imposed impose VBN 63372 1823 35 from from IN 63372 1823 36 without without IN 63372 1823 37 , , , 63372 1823 38 unrelated unrelated JJ 63372 1823 39 . . . 63372 1824 1 But but CC 63372 1824 2 did do VBD 63372 1824 3 you -PRON- PRP 63372 1824 4 ever ever RB 63372 1824 5 observe observe VB 63372 1824 6 anything anything NN 63372 1824 7 suggesting suggest VBG 63372 1824 8 the the DT 63372 1824 9 presence presence NN 63372 1824 10 of of IN 63372 1824 11 time time NN 63372 1824 12 in in IN 63372 1824 13 the the DT 63372 1824 14 absence absence NN 63372 1824 15 of of IN 63372 1824 16 space space NN 63372 1824 17 , , , 63372 1824 18 or or CC 63372 1824 19 vice vice RB 63372 1824 20 versa versa RB 63372 1824 21 ? ? . 63372 1825 1 No no UH 63372 1825 2 ; ; : 63372 1825 3 these these DT 63372 1825 4 vessels vessel NNS 63372 1825 5 of of IN 63372 1825 6 the the DT 63372 1825 7 universe universe NN 63372 1825 8 always always RB 63372 1825 9 occur occur VBP 63372 1825 10 together together RB 63372 1825 11 . . . 63372 1826 1 Association Association NNP 63372 1826 2 of of IN 63372 1826 3 the the DT 63372 1826 4 space space NN 63372 1826 5 dimensions dimension NNS 63372 1826 6 into into IN 63372 1826 7 a a DT 63372 1826 8 manifold manifold NN 63372 1826 9 from from IN 63372 1826 10 which which WDT 63372 1826 11 time time NN 63372 1826 12 is be VBZ 63372 1826 13 excluded exclude VBN 63372 1826 14 is be VBZ 63372 1826 15 purely purely RB 63372 1826 16 a a DT 63372 1826 17 phenomenon phenomenon NN 63372 1826 18 of of IN 63372 1826 19 the the DT 63372 1826 20 mind mind NN 63372 1826 21 . . . 63372 1827 1 The the DT 63372 1827 2 space space NN 63372 1827 3 continuum continuum NN 63372 1827 4 can can MD 63372 1827 5 not not RB 63372 1827 6 begin begin VB 63372 1827 7 to to TO 63372 1827 8 exist exist VB 63372 1827 9 until until IN 63372 1827 10 the the DT 63372 1827 11 time time NN 63372 1827 12 dimension dimension NN 63372 1827 13 is be VBZ 63372 1827 14 supplied supply VBN 63372 1827 15 , , , 63372 1827 16 nor nor CC 63372 1827 17 can can MD 63372 1827 18 time time NN 63372 1827 19 exist exist VB 63372 1827 20 without without IN 63372 1827 21 a a DT 63372 1827 22 place place NN 63372 1827 23 to to TO 63372 1827 24 exist exist VB 63372 1827 25 in in IN 63372 1827 26 . . . 63372 1828 1 The the DT 63372 1828 2 external external JJ 63372 1828 3 world world NN 63372 1828 4 that that WDT 63372 1828 5 we -PRON- PRP 63372 1828 6 observe observe VBP 63372 1828 7 is be VBZ 63372 1828 8 composed compose VBN 63372 1828 9 , , , 63372 1828 10 not not RB 63372 1828 11 of of IN 63372 1828 12 points point NNS 63372 1828 13 , , , 63372 1828 14 but but CC 63372 1828 15 of of IN 63372 1828 16 events event NNS 63372 1828 17 . . . 63372 1829 1 If if IN 63372 1829 2 a a DT 63372 1829 3 point point NN 63372 1829 4 lacks lack VBZ 63372 1829 5 position position NN 63372 1829 6 in in IN 63372 1829 7 time time NN 63372 1829 8 it -PRON- PRP 63372 1829 9 does do VBZ 63372 1829 10 not not RB 63372 1829 11 exist exist VB 63372 1829 12 ; ; : 63372 1829 13 give give VB 63372 1829 14 it -PRON- PRP 63372 1829 15 this this DT 63372 1829 16 position position NN 63372 1829 17 and and CC 63372 1829 18 it -PRON- PRP 63372 1829 19 becomes become VBZ 63372 1829 20 an an DT 63372 1829 21 event event NN 63372 1829 22 . . . 63372 1830 1 This this DT 63372 1830 2 world world NN 63372 1830 3 of of IN 63372 1830 4 events event NNS 63372 1830 5 is be VBZ 63372 1830 6 four four CD 63372 1830 7 - - HYPH 63372 1830 8 dimensional dimensional JJ 63372 1830 9 -- -- : 63372 1830 10 which which WDT 63372 1830 11 means mean VBZ 63372 1830 12 nothing nothing NN 63372 1830 13 more more RBR 63372 1830 14 terrifying terrifying JJ 63372 1830 15 than than IN 63372 1830 16 that that IN 63372 1830 17 you -PRON- PRP 63372 1830 18 must must MD 63372 1830 19 make make VB 63372 1830 20 four four CD 63372 1830 21 measures measure NNS 63372 1830 22 to to TO 63372 1830 23 locate locate VB 63372 1830 24 an an DT 63372 1830 25 event event NN 63372 1830 26 . . . 63372 1831 1 It -PRON- PRP 63372 1831 2 does do VBZ 63372 1831 3 not not RB 63372 1831 4 mean mean VB 63372 1831 5 , , , 63372 1831 6 at at RB 63372 1831 7 all all RB 63372 1831 8 , , , 63372 1831 9 that that IN 63372 1831 10 you -PRON- PRP 63372 1831 11 must must MD 63372 1831 12 visualize visualize VB 63372 1831 13 four four CD 63372 1831 14 mutually mutually RB 63372 1831 15 perpendicular perpendicular JJ 63372 1831 16 lines line NNS 63372 1831 17 in in IN 63372 1831 18 your -PRON- PRP$ 63372 1831 19 accustomed accustomed JJ 63372 1831 20 three three CD 63372 1831 21 - - HYPH 63372 1831 22 space space NN 63372 1831 23 or or CC 63372 1831 24 in in IN 63372 1831 25 a a DT 63372 1831 26 four four CD 63372 1831 27 - - HYPH 63372 1831 28 space space NN 63372 1831 29 analogous analogous JJ 63372 1831 30 to to IN 63372 1831 31 it -PRON- PRP 63372 1831 32 . . . 63372 1832 1 If if IN 63372 1832 2 this this DT 63372 1832 3 world world NN 63372 1832 4 of of IN 63372 1832 5 four four CD 63372 1832 6 dimensions dimension NNS 63372 1832 7 seems seem VBZ 63372 1832 8 to to TO 63372 1832 9 lack lack VB 63372 1832 10 reality reality NN 63372 1832 11 you -PRON- PRP 63372 1832 12 will will MD 63372 1832 13 be be VB 63372 1832 14 able able JJ 63372 1832 15 to to TO 63372 1832 16 exhibit exhibit VB 63372 1832 17 no no DT 63372 1832 18 better well JJR 63372 1832 19 reality reality NN 63372 1832 20 for for IN 63372 1832 21 your -PRON- PRP$ 63372 1832 22 old old JJ 63372 1832 23 ideas idea NNS 63372 1832 24 . . . 63372 1833 1 Time Time NNP 63372 1833 2 belongs belong VBZ 63372 1833 3 , , , 63372 1833 4 without without IN 63372 1833 5 question question NN 63372 1833 6 ; ; : 63372 1833 7 and and CC 63372 1833 8 not not RB 63372 1833 9 as as IN 63372 1833 10 an an DT 63372 1833 11 afterthought afterthought NN 63372 1833 12 , , , 63372 1833 13 but but CC 63372 1833 14 as as IN 63372 1833 15 part part NN 63372 1833 16 of of IN 63372 1833 17 the the DT 63372 1833 18 world world NN 63372 1833 19 of of IN 63372 1833 20 events event NNS 63372 1833 21 . . . 63372 1834 1 To to TO 63372 1834 2 locate locate VB 63372 1834 3 an an DT 63372 1834 4 event event NN 63372 1834 5 we -PRON- PRP 63372 1834 6 use use VBP 63372 1834 7 four four CD 63372 1834 8 measures measure NNS 63372 1834 9 : : : 63372 1834 10 $ $ $ 63372 1834 11 X$ x$ NN 63372 1834 12 , , , 63372 1834 13 $ $ $ 63372 1834 14 Y$ Y$ NNP 63372 1834 15 and and CC 63372 1834 16 $ $ $ 63372 1834 17 Z$ Z$ NNP 63372 1834 18 for for IN 63372 1834 19 space space NN 63372 1834 20 , , , 63372 1834 21 $ $ $ 63372 1834 22 T$ t$ NN 63372 1834 23 for for IN 63372 1834 24 time time NN 63372 1834 25 . . . 63372 1835 1 Using use VBG 63372 1835 2 the the DT 63372 1835 3 same same JJ 63372 1835 4 reference reference NN 63372 1835 5 frame frame NN 63372 1835 6 for for IN 63372 1835 7 time time NN 63372 1835 8 and and CC 63372 1835 9 space space NN 63372 1835 10 , , , 63372 1835 11 we -PRON- PRP 63372 1835 12 locate locate VBP 63372 1835 13 a a DT 63372 1835 14 second second JJ 63372 1835 15 event event NN 63372 1835 16 by by IN 63372 1835 17 the the DT 63372 1835 18 measures measure NNS 63372 1835 19 $ $ $ 63372 1835 20 x$ x$ NNP 63372 1835 21 , , , 63372 1835 22 $ $ $ 63372 1835 23 y$ y$ NNP 63372 1835 24 , , , 63372 1835 25 $ $ $ 63372 1835 26 z$ z$ NNP 63372 1835 27 , , , 63372 1835 28 $ $ $ 63372 1835 29 t$. t$. NNP 63372 1836 1 Minkowski Minkowski NNP 63372 1836 2 showed show VBD 63372 1836 3 that that IN 63372 1836 4 the the DT 63372 1836 5 quantity quantity NN 63372 1836 6 $ $ $ 63372 1836 7 $ $ $ 63372 1836 8 \sqrt{(X \sqrt{(X NNP 63372 1836 9 - - HYPH 63372 1836 10 x)^2 x)^2 NNP 63372 1836 11 + + NFP 63372 1836 12 ( ( -LRB- 63372 1836 13 Y Y NNP 63372 1836 14 - - HYPH 63372 1836 15 y)^2 y)^2 NNP 63372 1836 16 + + CC 63372 1836 17 ( ( -LRB- 63372 1836 18 Z Z NNP 63372 1836 19 - - HYPH 63372 1836 20 z)^2 z)^2 FW 63372 1836 21 - - HYPH 63372 1836 22 ( ( -LRB- 63372 1836 23 CT CT NNP 63372 1836 24 - - HYPH 63372 1836 25 Ct)^2}$$ Ct)^2}$$ NNP 63372 1836 26 is be VBZ 63372 1836 27 the the DT 63372 1836 28 same same JJ 63372 1836 29 for for IN 63372 1836 30 all all DT 63372 1836 31 observers observer NNS 63372 1836 32 , , , 63372 1836 33 no no RB 63372 1836 34 matter matter RB 63372 1836 35 how how WRB 63372 1836 36 different different JJ 63372 1836 37 their -PRON- PRP$ 63372 1836 38 $ $ $ 63372 1836 39 x$ x$ NNP 63372 1836 40 's 's POS 63372 1836 41 , , , 63372 1836 42 $ $ $ 63372 1836 43 y$ y$ NNP 63372 1836 44 's 's POS 63372 1836 45 , , , 63372 1836 46 $ $ $ 63372 1836 47 z$ z$ NNP 63372 1836 48 's 's POS 63372 1836 49 and and CC 63372 1836 50 $ $ $ 63372 1836 51 t$ t$ NNP 63372 1836 52 's 's POS 63372 1836 53 ; ; : 63372 1836 54 just just RB 63372 1836 55 as as IN 63372 1836 56 in in IN 63372 1836 57 the the DT 63372 1836 58 plane plane NN 63372 1836 59 the the DT 63372 1836 60 quantity quantity NN 63372 1836 61 $ $ $ 63372 1836 62 $ $ $ 63372 1836 63 \sqrt{(X \sqrt{(X NNP 63372 1836 64 - - HYPH 63372 1836 65 x)^2 x)^2 NNP 63372 1836 66 + + NFP 63372 1836 67 ( ( -LRB- 63372 1836 68 Y Y NNP 63372 1836 69 - - HYPH 63372 1836 70 y)^2}$$ y)^2}$$ NNP 63372 1836 71 is be VBZ 63372 1836 72 the the DT 63372 1836 73 same same JJ 63372 1836 74 for for IN 63372 1836 75 all all DT 63372 1836 76 observers observer NNS 63372 1836 77 , , , 63372 1836 78 no no RB 63372 1836 79 matter matter RB 63372 1836 80 how how WRB 63372 1836 81 different different JJ 63372 1836 82 their -PRON- PRP$ 63372 1836 83 $ $ $ 63372 1836 84 x$ x$ NNP 63372 1836 85 's 's POS 63372 1836 86 and and CC 63372 1836 87 $ $ $ 63372 1836 88 y$ y$ NNP 63372 1836 89 's 's POS 63372 1836 90 . . . 63372 1837 1 Such such PDT 63372 1837 2 a a DT 63372 1837 3 quantity quantity NN 63372 1837 4 , , , 63372 1837 5 having have VBG 63372 1837 6 the the DT 63372 1837 7 same same JJ 63372 1837 8 value value NN 63372 1837 9 for for IN 63372 1837 10 all all DT 63372 1837 11 observers observer NNS 63372 1837 12 , , , 63372 1837 13 is be VBZ 63372 1837 14 absolute absolute JJ 63372 1837 15 . . . 63372 1838 1 In in IN 63372 1838 2 the the DT 63372 1838 3 plane plane NN 63372 1838 4 it -PRON- PRP 63372 1838 5 represents represent VBZ 63372 1838 6 the the DT 63372 1838 7 true true JJ 63372 1838 8 , , , 63372 1838 9 absolute absolute JJ 63372 1838 10 distance distance NN 63372 1838 11 between between IN 63372 1838 12 the the DT 63372 1838 13 points point NNS 63372 1838 14 -- -- : 63372 1838 15 their -PRON- PRP$ 63372 1838 16 intrinsic intrinsic JJ 63372 1838 17 property property NN 63372 1838 18 . . . 63372 1839 1 In in IN 63372 1839 2 dealing deal VBG 63372 1839 3 with with IN 63372 1839 4 events event NNS 63372 1839 5 it -PRON- PRP 63372 1839 6 represents represent VBZ 63372 1839 7 the the DT 63372 1839 8 true true JJ 63372 1839 9 , , , 63372 1839 10 absolute absolute JJ 63372 1839 11 " " '' 63372 1839 12 interval interval NN 63372 1839 13 , , , 63372 1839 14 " " '' 63372 1839 15 in in IN 63372 1839 16 time time NN 63372 1839 17 and and CC 63372 1839 18 space space NN 63372 1839 19 together together RB 63372 1839 20 between between IN 63372 1839 21 the the DT 63372 1839 22 events event NNS 63372 1839 23 . . . 63372 1840 1 It -PRON- PRP 63372 1840 2 is be VBZ 63372 1840 3 not not RB 63372 1840 4 space space NN 63372 1840 5 , , , 63372 1840 6 nor nor CC 63372 1840 7 time time NN 63372 1840 8 , , , 63372 1840 9 but but CC 63372 1840 10 a a DT 63372 1840 11 combination combination NN 63372 1840 12 of of IN 63372 1840 13 the the DT 63372 1840 14 two two CD 63372 1840 15 . . . 63372 1841 1 We -PRON- PRP 63372 1841 2 have have VBP 63372 1841 3 always always RB 63372 1841 4 broken break VBN 63372 1841 5 it -PRON- PRP 63372 1841 6 down down RP 63372 1841 7 into into IN 63372 1841 8 separate separate JJ 63372 1841 9 space space NN 63372 1841 10 and and CC 63372 1841 11 time time NN 63372 1841 12 components component NNS 63372 1841 13 . . . 63372 1842 1 In in IN 63372 1842 2 this this DT 63372 1842 3 we -PRON- PRP 63372 1842 4 are be VBP 63372 1842 5 as as RB 63372 1842 6 naive naive JJ 63372 1842 7 as as IN 63372 1842 8 the the DT 63372 1842 9 plane plane NN 63372 1842 10 observer observer NN 63372 1842 11 who who WP 63372 1842 12 could could MD 63372 1842 13 not not RB 63372 1842 14 visualize visualize VB 63372 1842 15 the the DT 63372 1842 16 distance distance NN 63372 1842 17 $ $ $ 63372 1842 18 PQ$ pq$ CD 63372 1842 19 until until IN 63372 1842 20 it -PRON- PRP 63372 1842 21 was be VBD 63372 1842 22 split split VBN 63372 1842 23 into into IN 63372 1842 24 separate separate JJ 63372 1842 25 horizontals horizontal NNS 63372 1842 26 and and CC 63372 1842 27 verticals vertical NNS 63372 1842 28 . . . 63372 1843 1 He -PRON- PRP 63372 1843 2 understood understand VBD 63372 1843 3 with with IN 63372 1843 4 difficulty difficulty NN 63372 1843 5 that that IN 63372 1843 6 another another DT 63372 1843 7 observer observer NN 63372 1843 8 , , , 63372 1843 9 employing employ VBG 63372 1843 10 a a DT 63372 1843 11 different different JJ 63372 1843 12 reference reference NN 63372 1843 13 frame frame NN 63372 1843 14 because because IN 63372 1843 15 in in IN 63372 1843 16 different different JJ 63372 1843 17 position position NN 63372 1843 18 , , , 63372 1843 19 would would MD 63372 1843 20 make make VB 63372 1843 21 the the DT 63372 1843 22 decomposition decomposition NN 63372 1843 23 differently differently RB 63372 1843 24 . . . 63372 1844 1 We -PRON- PRP 63372 1844 2 understand understand VBP 63372 1844 3 with with IN 63372 1844 4 difficulty difficulty NN 63372 1844 5 that that IN 63372 1844 6 another another DT 63372 1844 7 observer observer NN 63372 1844 8 , , , 63372 1844 9 employing employ VBG 63372 1844 10 a a DT 63372 1844 11 different different JJ 63372 1844 12 reference reference NN 63372 1844 13 frame frame NN 63372 1844 14 because because IN 63372 1844 15 in in IN 63372 1844 16 uniform uniform JJ 63372 1844 17 motion motion NN 63372 1844 18 relative relative JJ 63372 1844 19 to to IN 63372 1844 20 us -PRON- PRP 63372 1844 21 , , , 63372 1844 22 will will MD 63372 1844 23 decompose decompose VB 63372 1844 24 the the DT 63372 1844 25 " " `` 63372 1844 26 interval interval NN 63372 1844 27 " " '' 63372 1844 28 between between IN 63372 1844 29 events event NNS 63372 1844 30 into into IN 63372 1844 31 time time NN 63372 1844 32 and and CC 63372 1844 33 space space NN 63372 1844 34 components component NNS 63372 1844 35 different different RB 63372 1844 36 from from IN 63372 1844 37 ours -PRON- PRP 63372 1844 38 . . . 63372 1845 1 Time time NN 63372 1845 2 and and CC 63372 1845 3 space space NN 63372 1845 4 are be VBP 63372 1845 5 relative relative JJ 63372 1845 6 to to IN 63372 1845 7 the the DT 63372 1845 8 observer observer NN 63372 1845 9 ; ; : 63372 1845 10 only only RB 63372 1845 11 the the DT 63372 1845 12 interval interval JJ 63372 1845 13 representing represent VBG 63372 1845 14 space space NN 63372 1845 15 - - HYPH 63372 1845 16 time time NN 63372 1845 17 is be VBZ 63372 1845 18 absolute absolute JJ 63372 1845 19 . . . 63372 1846 1 So so RB 63372 1846 2 common common JJ 63372 1846 3 sense sense NN 63372 1846 4 stands stand VBZ 63372 1846 5 reconciled reconcile VBN 63372 1846 6 to to IN 63372 1846 7 the the DT 63372 1846 8 Special Special NNP 63372 1846 9 Theory Theory NNP 63372 1846 10 of of IN 63372 1846 11 Relativity Relativity NNP 63372 1846 12 . . . 63372 1847 1 SUCCESSIVE successive JJ 63372 1847 2 STEPS step NNS 63372 1847 3 TOWARD toward NN 63372 1847 4 GENERALITY GENERALITY NNP 63372 1847 5 Is be VBZ 63372 1847 6 then then RB 63372 1847 7 our -PRON- PRP$ 63372 1847 8 laboriously laboriously RB 63372 1847 9 acquired acquire VBN 63372 1847 10 geometry geometry NN 63372 1847 11 of of IN 63372 1847 12 points point NNS 63372 1847 13 in in IN 63372 1847 14 a a DT 63372 1847 15 three three CD 63372 1847 16 - - HYPH 63372 1847 17 dimensional dimensional JJ 63372 1847 18 space space NN 63372 1847 19 to to TO 63372 1847 20 go go VB 63372 1847 21 into into IN 63372 1847 22 the the DT 63372 1847 23 discard discard NN 63372 1847 24 ? ? . 63372 1848 1 By by IN 63372 1848 2 no no DT 63372 1848 3 means means NN 63372 1848 4 . . . 63372 1849 1 Jeans jean NNS 63372 1849 2 , , , 63372 1849 3 investigating investigate VBG 63372 1849 4 the the DT 63372 1849 5 equilibrium equilibrium NN 63372 1849 6 of of IN 63372 1849 7 gaseous gaseous JJ 63372 1849 8 masses masse NNS 63372 1849 9 , , , 63372 1849 10 found find VBD 63372 1849 11 the the DT 63372 1849 12 general general JJ 63372 1849 13 case case NN 63372 1849 14 too too RB 63372 1849 15 difficult difficult JJ 63372 1849 16 for for IN 63372 1849 17 direct direct JJ 63372 1849 18 attack attack NN 63372 1849 19 . . . 63372 1850 1 So so RB 63372 1850 2 he -PRON- PRP 63372 1850 3 considered consider VBD 63372 1850 4 the the DT 63372 1850 5 case case NN 63372 1850 6 where where WRB 63372 1850 7 the the DT 63372 1850 8 masses masse NNS 63372 1850 9 involved involve VBN 63372 1850 10 are be VBP 63372 1850 11 homogeneous homogeneous JJ 63372 1850 12 and and CC 63372 1850 13 incompressible incompressible JJ 63372 1850 14 . . . 63372 1851 1 This this DT 63372 1851 2 never never RB 63372 1851 3 occurs occur VBZ 63372 1851 4 ; ; : 63372 1851 5 but but CC 63372 1851 6 it -PRON- PRP 63372 1851 7 throws throw VBZ 63372 1851 8 such such JJ 63372 1851 9 light light NN 63372 1851 10 on on IN 63372 1851 11 the the DT 63372 1851 12 general general JJ 63372 1851 13 case case NN 63372 1851 14 as as IN 63372 1851 15 to to TO 63372 1851 16 point point VB 63372 1851 17 the the DT 63372 1851 18 way way NN 63372 1851 19 toward toward IN 63372 1851 20 attack attack NN 63372 1851 21 on on IN 63372 1851 22 it -PRON- PRP 63372 1851 23 . . . 63372 1852 1 Euclidean euclidean JJ 63372 1852 2 geometry geometry NN 63372 1852 3 excludes exclude VBZ 63372 1852 4 motion motion NN 63372 1852 5 , , , 63372 1852 6 save save VB 63372 1852 7 that that DT 63372 1852 8 engineered engineer VBN 63372 1852 9 by by IN 63372 1852 10 the the DT 63372 1852 11 observer observer NN 63372 1852 12 ; ; : 63372 1852 13 and and CC 63372 1852 14 then then RB 63372 1852 15 the the DT 63372 1852 16 time time NN 63372 1852 17 is be VBZ 63372 1852 18 immaterial immaterial JJ 63372 1852 19 . . . 63372 1853 1 Time time NN 63372 1853 2 does do VBZ 63372 1853 3 not not RB 63372 1853 4 enter enter VB 63372 1853 5 at at RB 63372 1853 6 all all RB 63372 1853 7 ; ; : 63372 1853 8 the the DT 63372 1853 9 three three CD 63372 1853 10 space space NN 63372 1853 11 dimensions dimension NNS 63372 1853 12 suffice suffice VBP 63372 1853 13 . . . 63372 1854 1 This this DT 63372 1854 2 simple simple JJ 63372 1854 3 case case NN 63372 1854 4 never never RB 63372 1854 5 occurs occur VBZ 63372 1854 6 where where WRB 63372 1854 7 matter matter NN 63372 1854 8 exists exist VBZ 63372 1854 9 ; ; : 63372 1854 10 but but CC 63372 1854 11 its -PRON- PRP$ 63372 1854 12 conclusions conclusion NNS 63372 1854 13 are be VBP 63372 1854 14 of of IN 63372 1854 15 value value NN 63372 1854 16 in in IN 63372 1854 17 dealing deal VBG 63372 1854 18 with with IN 63372 1854 19 more more JJR 63372 1854 20 general general JJ 63372 1854 21 cases case NNS 63372 1854 22 . . . 63372 1855 1 When when WRB 63372 1855 2 we -PRON- PRP 63372 1855 3 look look VBP 63372 1855 4 into into IN 63372 1855 5 a a DT 63372 1855 6 world world NN 63372 1855 7 alleged allege VBN 63372 1855 8 to to TO 63372 1855 9 be be VB 63372 1855 10 that that DT 63372 1855 11 of of IN 63372 1855 12 Euclid Euclid NNP 63372 1855 13 and and CC 63372 1855 14 find find VB 63372 1855 15 motion motion NN 63372 1855 16 , , , 63372 1855 17 we -PRON- PRP 63372 1855 18 may may MD 63372 1855 19 retain retain VB 63372 1855 20 the the DT 63372 1855 21 Euclidean euclidean JJ 63372 1855 22 concept concept NN 63372 1855 23 of of IN 63372 1855 24 what what WP 63372 1855 25 constitutes constitute VBZ 63372 1855 26 the the DT 63372 1855 27 world world NN 63372 1855 28 and and CC 63372 1855 29 invent invent VB 63372 1855 30 a a DT 63372 1855 31 machinery machinery NN 63372 1855 32 to to TO 63372 1855 33 account account VB 63372 1855 34 for for IN 63372 1855 35 the the DT 63372 1855 36 motion motion NN 63372 1855 37 ; ; : 63372 1855 38 or or CC 63372 1855 39 we -PRON- PRP 63372 1855 40 may may MD 63372 1855 41 abandon abandon VB 63372 1855 42 the the DT 63372 1855 43 Euclidean euclidean JJ 63372 1855 44 world world NN 63372 1855 45 , , , 63372 1855 46 as as IN 63372 1855 47 inadequate inadequate JJ 63372 1855 48 , , , 63372 1855 49 in in IN 63372 1855 50 favor favor NN 63372 1855 51 of of IN 63372 1855 52 a a DT 63372 1855 53 more more RBR 63372 1855 54 general general JJ 63372 1855 55 one one CD 63372 1855 56 . . . 63372 1856 1 We -PRON- PRP 63372 1856 2 have have VBP 63372 1856 3 adopted adopt VBN 63372 1856 4 the the DT 63372 1856 5 second second JJ 63372 1856 6 alternative alternative NN 63372 1856 7 . . . 63372 1857 1 Newton Newton NNP 63372 1857 2 's 's POS 63372 1857 3 laws law NNS 63372 1857 4 tells tell VBZ 63372 1857 5 us -PRON- PRP 63372 1857 6 that that IN 63372 1857 7 a a DT 63372 1857 8 body body NN 63372 1857 9 free free JJ 63372 1857 10 to to TO 63372 1857 11 move move VB 63372 1857 12 will will MD 63372 1857 13 do do VB 63372 1857 14 so so RB 63372 1857 15 , , , 63372 1857 16 proceeding proceed VBG 63372 1857 17 in in IN 63372 1857 18 a a DT 63372 1857 19 straight straight JJ 63372 1857 20 line line NN 63372 1857 21 at at IN 63372 1857 22 uniform uniform JJ 63372 1857 23 velocity velocity NN 63372 1857 24 until until IN 63372 1857 25 interfered interfere VBN 63372 1857 26 with with IN 63372 1857 27 . . . 63372 1858 1 We -PRON- PRP 63372 1858 2 do do VBP 63372 1858 3 not not RB 63372 1858 4 ask ask VB 63372 1858 5 , , , 63372 1858 6 nor nor CC 63372 1858 7 does do VBZ 63372 1858 8 the the DT 63372 1858 9 theory theory NN 63372 1858 10 tell tell VB 63372 1858 11 us -PRON- PRP 63372 1858 12 , , , 63372 1858 13 whence whence NN 63372 1858 14 comes come VBZ 63372 1858 15 the the DT 63372 1858 16 initial initial JJ 63372 1858 17 motion motion NN 63372 1858 18 . . . 63372 1859 1 There there EX 63372 1859 2 is be VBZ 63372 1859 3 no no DT 63372 1859 4 machinery machinery NN 63372 1859 5 to to TO 63372 1859 6 produce produce VB 63372 1859 7 it -PRON- PRP 63372 1859 8 ; ; : 63372 1859 9 it -PRON- PRP 63372 1859 10 is be VBZ 63372 1859 11 an an DT 63372 1859 12 inherent inherent JJ 63372 1859 13 property property NN 63372 1859 14 of of IN 63372 1859 15 Newton Newton NNP 63372 1859 16 's 's POS 63372 1859 17 world world NN 63372 1859 18 -- -- : 63372 1859 19 assured assure VBN 63372 1859 20 by by IN 63372 1859 21 the the DT 63372 1859 22 superposition superposition NN 63372 1859 23 of of IN 63372 1859 24 the the DT 63372 1859 25 time time NN 63372 1859 26 continuum continuum JJ 63372 1859 27 upon upon IN 63372 1859 28 Euclid Euclid NNP 63372 1859 29 's 's POS 63372 1859 30 world world NN 63372 1859 31 to to TO 63372 1859 32 make make VB 63372 1859 33 Newton Newton NNP 63372 1859 34 's 's POS 63372 1859 35 , , , 63372 1859 36 accepted accept VBN 63372 1859 37 without without IN 63372 1859 38 question question NN 63372 1859 39 along along IN 63372 1859 40 with with IN 63372 1859 41 that that DT 63372 1859 42 world world NN 63372 1859 43 itself -PRON- PRP 63372 1859 44 . . . 63372 1860 1 But but CC 63372 1860 2 Newton Newton NNP 63372 1860 3 saw see VBD 63372 1860 4 that that IN 63372 1860 5 his -PRON- PRP$ 63372 1860 6 world world NN 63372 1860 7 of of IN 63372 1860 8 uniform uniform JJ 63372 1860 9 motion motion NN 63372 1860 10 , , , 63372 1860 11 like like IN 63372 1860 12 Euclid Euclid NNP 63372 1860 13 's 's POS 63372 1860 14 , , , 63372 1860 15 was be VBD 63372 1860 16 never never RB 63372 1860 17 realized realize VBN 63372 1860 18 . . . 63372 1861 1 In in IN 63372 1861 2 the the DT 63372 1861 3 neighborhood neighborhood NN 63372 1861 4 of of IN 63372 1861 5 one one CD 63372 1861 6 particle particle NN 63372 1861 7 a a DT 63372 1861 8 second second NN 63372 1861 9 is be VBZ 63372 1861 10 interfered interfere VBN 63372 1861 11 with with IN 63372 1861 12 , , , 63372 1861 13 forced force VBN 63372 1861 14 to to TO 63372 1861 15 give give VB 63372 1861 16 up up RP 63372 1861 17 its -PRON- PRP$ 63372 1861 18 uniform uniform JJ 63372 1861 19 motion motion NN 63372 1861 20 and and CC 63372 1861 21 acquire acquire VB 63372 1861 22 a a DT 63372 1861 23 constant constant JJ 63372 1861 24 acceleration acceleration NN 63372 1861 25 . . . 63372 1862 1 This this DT 63372 1862 2 Newton Newton NNP 63372 1862 3 explained explain VBD 63372 1862 4 by by IN 63372 1862 5 employing employ VBG 63372 1862 6 the the DT 63372 1862 7 first first JJ 63372 1862 8 of of IN 63372 1862 9 the the DT 63372 1862 10 alternatives alternative NNS 63372 1862 11 mentioned mention VBN 63372 1862 12 above above RB 63372 1862 13 . . . 63372 1863 1 He -PRON- PRP 63372 1863 2 tells tell VBZ 63372 1863 3 us -PRON- PRP 63372 1863 4 that that IN 63372 1863 5 in in IN 63372 1863 6 connection connection NN 63372 1863 7 with with IN 63372 1863 8 all all DT 63372 1863 9 matter matter NN 63372 1863 10 there there EX 63372 1863 11 exists exist VBZ 63372 1863 12 a a DT 63372 1863 13 force force NN 63372 1863 14 which which WDT 63372 1863 15 acts act VBZ 63372 1863 16 on on IN 63372 1863 17 other other JJ 63372 1863 18 matter matter NN 63372 1863 19 in in IN 63372 1863 20 a a DT 63372 1863 21 certain certain JJ 63372 1863 22 way way NN 63372 1863 23 . . . 63372 1864 1 He -PRON- PRP 63372 1864 2 does do VBZ 63372 1864 3 not not RB 63372 1864 4 display display VB 63372 1864 5 the the DT 63372 1864 6 actual actual JJ 63372 1864 7 machinery machinery NN 63372 1864 8 through through IN 63372 1864 9 which which WDT 63372 1864 10 this this DT 63372 1864 11 " " `` 63372 1864 12 force force NN 63372 1864 13 " " '' 63372 1864 14 works work NNS 63372 1864 15 , , , 63372 1864 16 because because IN 63372 1864 17 he -PRON- PRP 63372 1864 18 could could MD 63372 1864 19 not not RB 63372 1864 20 discover discover VB 63372 1864 21 any any DT 63372 1864 22 machinery machinery NN 63372 1864 23 ; ; : 63372 1864 24 he -PRON- PRP 63372 1864 25 had have VBD 63372 1864 26 to to TO 63372 1864 27 stop stop VB 63372 1864 28 with with IN 63372 1864 29 his -PRON- PRP$ 63372 1864 30 brilliant brilliant JJ 63372 1864 31 generalization generalization NN 63372 1864 32 of of IN 63372 1864 33 the the DT 63372 1864 34 observed observe VBN 63372 1864 35 facts fact NNS 63372 1864 36 . . . 63372 1865 1 And and CC 63372 1865 2 all all PDT 63372 1865 3 his -PRON- PRP$ 63372 1865 4 successors successor NNS 63372 1865 5 have have VBP 63372 1865 6 failed fail VBN 63372 1865 7 to to TO 63372 1865 8 detect detect VB 63372 1865 9 the the DT 63372 1865 10 slightest slight JJS 63372 1865 11 trace trace NN 63372 1865 12 of of IN 63372 1865 13 a a DT 63372 1865 14 machinery machinery NN 63372 1865 15 of of IN 63372 1865 16 gravitation gravitation NN 63372 1865 17 . . . 63372 1866 1 Einstein Einstein NNP 63372 1866 2 asks ask VBZ 63372 1866 3 whether whether IN 63372 1866 4 this this DT 63372 1866 5 is be VBZ 63372 1866 6 not not RB 63372 1866 7 because because IN 63372 1866 8 the the DT 63372 1866 9 machinery machinery NN 63372 1866 10 is be VBZ 63372 1866 11 absent absent JJ 63372 1866 12 -- -- : 63372 1866 13 because because IN 63372 1866 14 gravitation gravitation NN 63372 1866 15 , , , 63372 1866 16 like like IN 63372 1866 17 position position NN 63372 1866 18 in in IN 63372 1866 19 Euclid Euclid NNP 63372 1866 20 's 's POS 63372 1866 21 world world NN 63372 1866 22 and and CC 63372 1866 23 motion motion NN 63372 1866 24 in in IN 63372 1866 25 Newton Newton NNP 63372 1866 26 's 's POS 63372 1866 27 , , , 63372 1866 28 is be VBZ 63372 1866 29 a a DT 63372 1866 30 fundamental fundamental JJ 63372 1866 31 property property NN 63372 1866 32 of of IN 63372 1866 33 the the DT 63372 1866 34 world world NN 63372 1866 35 in in IN 63372 1866 36 which which WDT 63372 1866 37 it -PRON- PRP 63372 1866 38 occurs occur VBZ 63372 1866 39 . . . 63372 1867 1 His -PRON- PRP$ 63372 1867 2 point point NN 63372 1867 3 of of IN 63372 1867 4 attack attack NN 63372 1867 5 here here RB 63372 1867 6 lay lie VBD 63372 1867 7 in in IN 63372 1867 8 precise precise JJ 63372 1867 9 formulation formulation NN 63372 1867 10 of of IN 63372 1867 11 certain certain JJ 63372 1867 12 familiar familiar JJ 63372 1867 13 facts fact NNS 63372 1867 14 that that WDT 63372 1867 15 had have VBD 63372 1867 16 never never RB 63372 1867 17 been be VBN 63372 1867 18 adequately adequately RB 63372 1867 19 appreciated appreciate VBN 63372 1867 20 . . . 63372 1868 1 These these DT 63372 1868 2 facts fact NNS 63372 1868 3 indicate indicate VBP 63372 1868 4 that that IN 63372 1868 5 even even RB 63372 1868 6 accelerated accelerate VBN 63372 1868 7 motion motion NN 63372 1868 8 is be VBZ 63372 1868 9 relative relative JJ 63372 1868 10 , , , 63372 1868 11 in in IN 63372 1868 12 spite spite NN 63372 1868 13 of of IN 63372 1868 14 its -PRON- PRP$ 63372 1868 15 apparently apparently RB 63372 1868 16 real real JJ 63372 1868 17 and and CC 63372 1868 18 absolute absolute JJ 63372 1868 19 effects effect NNS 63372 1868 20 . . . 63372 1869 1 GRAVITATION gravitation NN 63372 1869 2 AND and CC 63372 1869 3 ACCELERATION acceleration VB 63372 1869 4 An an DT 63372 1869 5 observer observer NN 63372 1869 6 in in IN 63372 1869 7 a a DT 63372 1869 8 closed close VBN 63372 1869 9 compartment compartment NN 63372 1869 10 , , , 63372 1869 11 moving move VBG 63372 1869 12 with with IN 63372 1869 13 constant constant JJ 63372 1869 14 acceleration acceleration NN 63372 1869 15 through through IN 63372 1869 16 empty empty JJ 63372 1869 17 space space NN 63372 1869 18 , , , 63372 1869 19 finds find VBZ 63372 1869 20 that that IN 63372 1869 21 the the DT 63372 1869 22 " " `` 63372 1869 23 bottom bottom NN 63372 1869 24 " " '' 63372 1869 25 of of IN 63372 1869 26 his -PRON- PRP$ 63372 1869 27 cage cage NN 63372 1869 28 catches catch VBZ 63372 1869 29 up up RP 63372 1869 30 with with IN 63372 1869 31 objects object NNS 63372 1869 32 that that WDT 63372 1869 33 he -PRON- PRP 63372 1869 34 releases release VBZ 63372 1869 35 ; ; : 63372 1869 36 that that IN 63372 1869 37 it -PRON- PRP 63372 1869 38 presses press VBZ 63372 1869 39 on on IN 63372 1869 40 his -PRON- PRP$ 63372 1869 41 feet foot NNS 63372 1869 42 to to TO 63372 1869 43 give give VB 63372 1869 44 him -PRON- PRP 63372 1869 45 the the DT 63372 1869 46 sensation sensation NN 63372 1869 47 of of IN 63372 1869 48 weight weight NN 63372 1869 49 , , , 63372 1869 50 etc etc FW 63372 1869 51 . . . 63372 1870 1 It -PRON- PRP 63372 1870 2 displays display VBZ 63372 1870 3 all all PDT 63372 1870 4 the the DT 63372 1870 5 effects effect NNS 63372 1870 6 that that WDT 63372 1870 7 he -PRON- PRP 63372 1870 8 would would MD 63372 1870 9 expect expect VB 63372 1870 10 if if IN 63372 1870 11 it -PRON- PRP 63372 1870 12 were be VBD 63372 1870 13 at at IN 63372 1870 14 rest rest NN 63372 1870 15 in in IN 63372 1870 16 a a DT 63372 1870 17 gravitational gravitational JJ 63372 1870 18 field field NN 63372 1870 19 . . . 63372 1871 1 On on IN 63372 1871 2 the the DT 63372 1871 3 other other JJ 63372 1871 4 hand hand NN 63372 1871 5 , , , 63372 1871 6 if if IN 63372 1871 7 it -PRON- PRP 63372 1871 8 were be VBD 63372 1871 9 falling fall VBG 63372 1871 10 freely freely RB 63372 1871 11 under under IN 63372 1871 12 gravitational gravitational JJ 63372 1871 13 influence influence NN 63372 1871 14 , , , 63372 1871 15 its -PRON- PRP$ 63372 1871 16 occupant occupant NN 63372 1871 17 would would MD 63372 1871 18 sense sense VB 63372 1871 19 no no DT 63372 1871 20 weight weight NN 63372 1871 21 , , , 63372 1871 22 objects object NNS 63372 1871 23 released release VBN 63372 1871 24 would would MD 63372 1871 25 not not RB 63372 1871 26 leave leave VB 63372 1871 27 his -PRON- PRP$ 63372 1871 28 hand hand NN 63372 1871 29 , , , 63372 1871 30 the the DT 63372 1871 31 reaction reaction NN 63372 1871 32 from from IN 63372 1871 33 his -PRON- PRP$ 63372 1871 34 every every DT 63372 1871 35 motion motion NN 63372 1871 36 would would MD 63372 1871 37 change change VB 63372 1871 38 his -PRON- PRP$ 63372 1871 39 every every DT 63372 1871 40 position position NN 63372 1871 41 in in IN 63372 1871 42 his -PRON- PRP$ 63372 1871 43 cage cage NN 63372 1871 44 , , , 63372 1871 45 and and CC 63372 1871 46 he -PRON- PRP 63372 1871 47 could could MD 63372 1871 48 equally equally RB 63372 1871 49 well well RB 63372 1871 50 assume assume VB 63372 1871 51 himself -PRON- PRP 63372 1871 52 at at IN 63372 1871 53 rest rest NN 63372 1871 54 in in IN 63372 1871 55 a a DT 63372 1871 56 region region NN 63372 1871 57 of of IN 63372 1871 58 space space NN 63372 1871 59 free free JJ 63372 1871 60 from from IN 63372 1871 61 gravitational gravitational JJ 63372 1871 62 action action NN 63372 1871 63 . . . 63372 1872 1 Accelerated accelerated JJ 63372 1872 2 motion motion NN 63372 1872 3 may may MD 63372 1872 4 always always RB 63372 1872 5 be be VB 63372 1872 6 interpreted interpret VBN 63372 1872 7 , , , 63372 1872 8 by by IN 63372 1872 9 the the DT 63372 1872 10 observer observer NN 63372 1872 11 on on IN 63372 1872 12 the the DT 63372 1872 13 system system NN 63372 1872 14 , , , 63372 1872 15 as as IN 63372 1872 16 ordinary ordinary JJ 63372 1872 17 force force NN 63372 1872 18 effects effect NNS 63372 1872 19 on on IN 63372 1872 20 his -PRON- PRP$ 63372 1872 21 moving move VBG 63372 1872 22 system system NN 63372 1872 23 , , , 63372 1872 24 or or CC 63372 1872 25 as as IN 63372 1872 26 gravitational gravitational JJ 63372 1872 27 effects effect NNS 63372 1872 28 on on IN 63372 1872 29 his -PRON- PRP$ 63372 1872 30 system system NN 63372 1872 31 at at IN 63372 1872 32 rest rest NN 63372 1872 33 . . . 63372 1873 1 An an DT 63372 1873 2 alternative alternative JJ 63372 1873 3 statement statement NN 63372 1873 4 of of IN 63372 1873 5 the the DT 63372 1873 6 Special Special NNP 63372 1873 7 Theory Theory NNP 63372 1873 8 is be VBZ 63372 1873 9 that that IN 63372 1873 10 the the DT 63372 1873 11 observed observed JJ 63372 1873 12 phenomena phenomenon NNS 63372 1873 13 of of IN 63372 1873 14 uniform uniform JJ 63372 1873 15 motion motion NN 63372 1873 16 may may MD 63372 1873 17 equally equally RB 63372 1873 18 be be VB 63372 1873 19 accounted account VBN 63372 1873 20 for for IN 63372 1873 21 by by IN 63372 1873 22 supposing suppose VBG 63372 1873 23 the the DT 63372 1873 24 object object NN 63372 1873 25 in in IN 63372 1873 26 motion motion NN 63372 1873 27 and and CC 63372 1873 28 the the DT 63372 1873 29 observer observer NN 63372 1873 30 with with IN 63372 1873 31 his -PRON- PRP$ 63372 1873 32 reference reference NN 63372 1873 33 frame frame NN 63372 1873 34 at at IN 63372 1873 35 rest rest NN 63372 1873 36 , , , 63372 1873 37 or or CC 63372 1873 38 vice vice NN 63372 1873 39 versa versa RB 63372 1873 40 . . . 63372 1874 1 We -PRON- PRP 63372 1874 2 may may MD 63372 1874 3 similarly similarly RB 63372 1874 4 state state VB 63372 1874 5 the the DT 63372 1874 6 General General NNP 63372 1874 7 Theory Theory NNP 63372 1874 8 : : : 63372 1874 9 The the DT 63372 1874 10 observed observed JJ 63372 1874 11 phenomena phenomenon NNS 63372 1874 12 of of IN 63372 1874 13 uniformly uniformly RB 63372 1874 14 accelerated accelerate VBN 63372 1874 15 motion motion NN 63372 1874 16 may may MD 63372 1874 17 in in IN 63372 1874 18 every every DT 63372 1874 19 case case NN 63372 1874 20 be be VB 63372 1874 21 explained explain VBN 63372 1874 22 on on IN 63372 1874 23 a a DT 63372 1874 24 basis basis NN 63372 1874 25 of of IN 63372 1874 26 stationary stationary JJ 63372 1874 27 observer observer NN 63372 1874 28 and and CC 63372 1874 29 accelerated accelerate VBN 63372 1874 30 objective objective JJ 63372 1874 31 , , , 63372 1874 32 or or CC 63372 1874 33 of of IN 63372 1874 34 stationary stationary JJ 63372 1874 35 objective objective NN 63372 1874 36 with with IN 63372 1874 37 the the DT 63372 1874 38 observer observer NN 63372 1874 39 and and CC 63372 1874 40 his -PRON- PRP$ 63372 1874 41 reference reference NN 63372 1874 42 system system NN 63372 1874 43 in in IN 63372 1874 44 accelerated accelerate VBN 63372 1874 45 motion motion NN 63372 1874 46 . . . 63372 1875 1 Gravitation gravitation NN 63372 1875 2 is be VBZ 63372 1875 3 one one CD 63372 1875 4 of of IN 63372 1875 5 these these DT 63372 1875 6 phenomena phenomenon NNS 63372 1875 7 . . . 63372 1876 1 It -PRON- PRP 63372 1876 2 follows follow VBZ 63372 1876 3 that that IN 63372 1876 4 if if IN 63372 1876 5 the the DT 63372 1876 6 observer observer NN 63372 1876 7 enjoy enjoy VBP 63372 1876 8 properly properly RB 63372 1876 9 accelerated accelerate VBN 63372 1876 10 axes axis NNS 63372 1876 11 ( ( -LRB- 63372 1876 12 in in IN 63372 1876 13 time time NN 63372 1876 14 - - HYPH 63372 1876 15 space space NN 63372 1876 16 , , , 63372 1876 17 of of IN 63372 1876 18 course course NN 63372 1876 19 ) ) -RRB- 63372 1876 20 , , , 63372 1876 21 the the DT 63372 1876 22 absolute absolute JJ 63372 1876 23 character character NN 63372 1876 24 of of IN 63372 1876 25 the the DT 63372 1876 26 world world NN 63372 1876 27 about about IN 63372 1876 28 him -PRON- PRP 63372 1876 29 must must MD 63372 1876 30 be be VB 63372 1876 31 such such JJ 63372 1876 32 as as IN 63372 1876 33 to to TO 63372 1876 34 present present VB 63372 1876 35 to to IN 63372 1876 36 him -PRON- PRP 63372 1876 37 the the DT 63372 1876 38 phenomenon phenomenon NN 63372 1876 39 of of IN 63372 1876 40 gravitation gravitation NN 63372 1876 41 . . . 63372 1877 1 It -PRON- PRP 63372 1877 2 remains remain VBZ 63372 1877 3 only only RB 63372 1877 4 to to TO 63372 1877 5 identify identify VB 63372 1877 6 the the DT 63372 1877 7 sort sort NN 63372 1877 8 of of IN 63372 1877 9 world world NN 63372 1877 10 , , , 63372 1877 11 of of IN 63372 1877 12 which which WDT 63372 1877 13 gravitation gravitation NN 63372 1877 14 as as IN 63372 1877 15 it -PRON- PRP 63372 1877 16 is be VBZ 63372 1877 17 observed observe VBN 63372 1877 18 would would MD 63372 1877 19 be be VB 63372 1877 20 a a DT 63372 1877 21 fundamental fundamental JJ 63372 1877 22 characteristic characteristic NN 63372 1877 23 . . . 63372 1878 1 Euclid Euclid NNP 63372 1878 2 's 's POS 63372 1878 3 and and CC 63372 1878 4 Newton Newton NNP 63372 1878 5 's 's POS 63372 1878 6 systems system NNS 63372 1878 7 stand stand VBP 63372 1878 8 as as IN 63372 1878 9 first first JJ 63372 1878 10 and and CC 63372 1878 11 second second JJ 63372 1878 12 approximations approximation NNS 63372 1878 13 to to IN 63372 1878 14 that that DT 63372 1878 15 world world NN 63372 1878 16 . . . 63372 1879 1 The the DT 63372 1879 2 Special Special NNP 63372 1879 3 Relativity Relativity NNP 63372 1879 4 Theory Theory NNP 63372 1879 5 constitutes constitute VBZ 63372 1879 6 a a DT 63372 1879 7 correction correction NN 63372 1879 8 of of IN 63372 1879 9 Newton Newton NNP 63372 1879 10 , , , 63372 1879 11 presumably presumably RB 63372 1879 12 because because IN 63372 1879 13 it -PRON- PRP 63372 1879 14 is be VBZ 63372 1879 15 a a DT 63372 1879 16 third third JJ 63372 1879 17 approximation approximation NN 63372 1879 18 . . . 63372 1880 1 We -PRON- PRP 63372 1880 2 must must MD 63372 1880 3 seek seek VB 63372 1880 4 in in IN 63372 1880 5 it -PRON- PRP 63372 1880 6 those those DT 63372 1880 7 features feature NNS 63372 1880 8 which which WDT 63372 1880 9 we -PRON- PRP 63372 1880 10 may may MD 63372 1880 11 most most RBS 63372 1880 12 hopefully hopefully RB 63372 1880 13 carry carry VB 63372 1880 14 along along RP 63372 1880 15 , , , 63372 1880 16 into into IN 63372 1880 17 the the DT 63372 1880 18 still still RB 63372 1880 19 more more JJR 63372 1880 20 general general JJ 63372 1880 21 case case NN 63372 1880 22 . . . 63372 1881 1 Newton Newton NNP 63372 1881 2 's 's POS 63372 1881 3 system system NN 63372 1881 4 retained retain VBD 63372 1881 5 the the DT 63372 1881 6 geometry geometry NN 63372 1881 7 of of IN 63372 1881 8 Euclid Euclid NNP 63372 1881 9 . . . 63372 1882 1 But but CC 63372 1882 2 Minkowski Minkowski NNP 63372 1882 3 's 's POS 63372 1882 4 invariant invariant JJ 63372 1882 5 expression expression NN 63372 1882 6 tells tell VBZ 63372 1882 7 us -PRON- PRP 63372 1882 8 that that IN 63372 1882 9 Einstein Einstein NNP 63372 1882 10 has have VBZ 63372 1882 11 had have VBN 63372 1882 12 to to TO 63372 1882 13 abandon abandon VB 63372 1882 14 this this DT 63372 1882 15 ; ; : 63372 1882 16 for for IN 63372 1882 17 in in IN 63372 1882 18 Euclidean euclidean JJ 63372 1882 19 geometry geometry NN 63372 1882 20 of of IN 63372 1882 21 four four CD 63372 1882 22 dimensions dimension NNS 63372 1882 23 the the DT 63372 1882 24 invariant invariant NN 63372 1882 25 takes take VBZ 63372 1882 26 the the DT 63372 1882 27 form form NN 63372 1882 28 : : : 63372 1882 29 $ $ $ 63372 1882 30 $ $ $ 63372 1882 31 \sqrt{(X \sqrt{(X NNP 63372 1882 32 - - HYPH 63372 1882 33 x)^2 x)^2 NNP 63372 1882 34 + + NFP 63372 1882 35 ( ( -LRB- 63372 1882 36 Y Y NNP 63372 1882 37 - - HYPH 63372 1882 38 y)^2 y)^2 NNP 63372 1882 39 + + CC 63372 1882 40 ( ( -LRB- 63372 1882 41 Z Z NNP 63372 1882 42 - - HYPH 63372 1882 43 z)^2 z)^2 NNP 63372 1882 44 + + NFP 63372 1882 45 ( ( -LRB- 63372 1882 46 T T NNP 63372 1882 47 - - HYPH 63372 1882 48 t)^2}\,,$$ t)^2}\,,$$ NN 63372 1882 49 analogous analogous JJ 63372 1882 50 to to IN 63372 1882 51 that that DT 63372 1882 52 of of IN 63372 1882 53 two two CD 63372 1882 54 and and CC 63372 1882 55 three three CD 63372 1882 56 dimensions dimension NNS 63372 1882 57 . . . 63372 1883 1 It -PRON- PRP 63372 1883 2 is be VBZ 63372 1883 3 not not RB 63372 1883 4 the the DT 63372 1883 5 presence presence NN 63372 1883 6 of of IN 63372 1883 7 the the DT 63372 1883 8 constant constant JJ 63372 1883 9 $ $ $ 63372 1883 10 C$ c$ $ 63372 1883 11 in in IN 63372 1883 12 Minkowski Minkowski NNP 63372 1883 13 's 's POS 63372 1883 14 formula formula NN 63372 1883 15 that that WDT 63372 1883 16 counts count VBZ 63372 1883 17 ; ; : 63372 1883 18 this this DT 63372 1883 19 is be VBZ 63372 1883 20 merely merely RB 63372 1883 21 an an DT 63372 1883 22 adjustment adjustment NN 63372 1883 23 so so IN 63372 1883 24 that that IN 63372 1883 25 we -PRON- PRP 63372 1883 26 may may MD 63372 1883 27 measure measure VB 63372 1883 28 space space NN 63372 1883 29 in in IN 63372 1883 30 miles mile NNS 63372 1883 31 and and CC 63372 1883 32 time time NN 63372 1883 33 in in IN 63372 1883 34 the the DT 63372 1883 35 unit unit NN 63372 1883 36 that that WDT 63372 1883 37 corresponds correspond VBZ 63372 1883 38 to to IN 63372 1883 39 a a DT 63372 1883 40 mile mile NN 63372 1883 41 . . . 63372 1884 1 It -PRON- PRP 63372 1884 2 is be VBZ 63372 1884 3 the the DT 63372 1884 4 minus minus JJ 63372 1884 5 sign sign NN 63372 1884 6 where where WRB 63372 1884 7 Euclidean euclidean JJ 63372 1884 8 geometry geometry NN 63372 1884 9 demands demand VBZ 63372 1884 10 a a DT 63372 1884 11 plus plus NN 63372 1884 12 that that WDT 63372 1884 13 makes make VBZ 63372 1884 14 Minkowski Minkowski NNP 63372 1884 15 's 's POS 63372 1884 16 continuum continuum JJ 63372 1884 17 non non JJ 63372 1884 18 - - JJ 63372 1884 19 Euclidean euclidean JJ 63372 1884 20 . . . 63372 1885 1 The the DT 63372 1885 2 editor editor NN 63372 1885 3 has have VBZ 63372 1885 4 told tell VBN 63372 1885 5 us -PRON- PRP 63372 1885 6 what what WP 63372 1885 7 this this DT 63372 1885 8 statement statement NN 63372 1885 9 means mean VBZ 63372 1885 10 . . . 63372 1886 1 I -PRON- PRP 63372 1886 2 think think VBP 63372 1886 3 he -PRON- PRP 63372 1886 4 has have VBZ 63372 1886 5 made make VBN 63372 1886 6 it -PRON- PRP 63372 1886 7 clear clear JJ 63372 1886 8 that that IN 63372 1886 9 when when WRB 63372 1886 10 we -PRON- PRP 63372 1886 11 speak speak VBP 63372 1886 12 of of IN 63372 1886 13 the the DT 63372 1886 14 geometry geometry NN 63372 1886 15 of of IN 63372 1886 16 the the DT 63372 1886 17 four four CD 63372 1886 18 - - HYPH 63372 1886 19 dimensional dimensional JJ 63372 1886 20 world world NN 63372 1886 21 , , , 63372 1886 22 we -PRON- PRP 63372 1886 23 must must MD 63372 1886 24 not not RB 63372 1886 25 read read VB 63372 1886 26 into into IN 63372 1886 27 this this DT 63372 1886 28 term term NN 63372 1886 29 the the DT 63372 1886 30 restrictions restriction NNS 63372 1886 31 surrounding surround VBG 63372 1886 32 the the DT 63372 1886 33 kind kind NN 63372 1886 34 of of IN 63372 1886 35 geometry geometry NN 63372 1886 36 we -PRON- PRP 63372 1886 37 are be VBP 63372 1886 38 best well RBS 63372 1886 39 acquainted acquaint VBN 63372 1886 40 with with IN 63372 1886 41 -- -- : 63372 1886 42 that that DT 63372 1886 43 of of IN 63372 1886 44 the the DT 63372 1886 45 three three CD 63372 1886 46 - - HYPH 63372 1886 47 dimensional dimensional JJ 63372 1886 48 Euclidean Euclidean NNP 63372 1886 49 continuum continuum NN 63372 1886 50 . . . 63372 1887 1 So so CC 63372 1887 2 I -PRON- PRP 63372 1887 3 need need VBP 63372 1887 4 only only RB 63372 1887 5 point point VB 63372 1887 6 out out RP 63372 1887 7 that that IN 63372 1887 8 if if IN 63372 1887 9 we -PRON- PRP 63372 1887 10 are be VBP 63372 1887 11 to to TO 63372 1887 12 make make VB 63372 1887 13 a a DT 63372 1887 14 fourth fourth JJ 63372 1887 15 ( ( -LRB- 63372 1887 16 and and CC 63372 1887 17 we -PRON- PRP 63372 1887 18 hope hope VBP 63372 1887 19 , , , 63372 1887 20 final final JJ 63372 1887 21 ) ) -RRB- 63372 1887 22 approximation approximation NN 63372 1887 23 to to IN 63372 1887 24 the the DT 63372 1887 25 reality reality NN 63372 1887 26 , , , 63372 1887 27 its -PRON- PRP$ 63372 1887 28 geometry geometry NN 63372 1887 29 must must MD 63372 1887 30 preserve preserve VB 63372 1887 31 the the DT 63372 1887 32 generality generality NN 63372 1887 33 attained attain VBN 63372 1887 34 by by IN 63372 1887 35 that that DT 63372 1887 36 of of IN 63372 1887 37 the the DT 63372 1887 38 third third JJ 63372 1887 39 step step NN 63372 1887 40 , , , 63372 1887 41 if if IN 63372 1887 42 it -PRON- PRP 63372 1887 43 goes go VBZ 63372 1887 44 no no RB 63372 1887 45 further further RB 63372 1887 46 . . . 63372 1888 1 EINSTEIN EINSTEIN NNP 63372 1888 2 'S 'S NNP 63372 1888 3 TIME TIME NNP 63372 1888 4 - - HYPH 63372 1888 5 SPACE SPACE NNP 63372 1888 6 WORLD WORLD NNP 63372 1888 7 Einstein Einstein NNP 63372 1888 8 accordingly accordingly RB 63372 1888 9 examined examine VBD 63372 1888 10 the the DT 63372 1888 11 possible possible JJ 63372 1888 12 non non JJ 63372 1888 13 - - JJ 63372 1888 14 Euclidean euclidean JJ 63372 1888 15 geometries geometry NNS 63372 1888 16 of of IN 63372 1888 17 four four CD 63372 1888 18 dimensions dimension NNS 63372 1888 19 , , , 63372 1888 20 in in IN 63372 1888 21 search search NN 63372 1888 22 of of IN 63372 1888 23 one one CD 63372 1888 24 displaying display VBG 63372 1888 25 fundamental fundamental JJ 63372 1888 26 characteristics characteristic NNS 63372 1888 27 which which WDT 63372 1888 28 , , , 63372 1888 29 interpreted interpret VBN 63372 1888 30 in in IN 63372 1888 31 terms term NNS 63372 1888 32 of of IN 63372 1888 33 space space NN 63372 1888 34 - - HYPH 63372 1888 35 time time NN 63372 1888 36 , , , 63372 1888 37 would would MD 63372 1888 38 lead lead VB 63372 1888 39 to to IN 63372 1888 40 the the DT 63372 1888 41 observed observed JJ 63372 1888 42 facts fact NNS 63372 1888 43 of of IN 63372 1888 44 gravitation gravitation NN 63372 1888 45 . . . 63372 1889 1 The the DT 63372 1889 2 mathematics mathematic NNS 63372 1889 3 of of IN 63372 1889 4 this this DT 63372 1889 5 investigation investigation NN 63372 1889 6 is be VBZ 63372 1889 7 that that DT 63372 1889 8 part part NN 63372 1889 9 of of IN 63372 1889 10 his -PRON- PRP$ 63372 1889 11 work work NN 63372 1889 12 which which WDT 63372 1889 13 , , , 63372 1889 14 we -PRON- PRP 63372 1889 15 are be VBP 63372 1889 16 told tell VBN 63372 1889 17 , , , 63372 1889 18 but but CC 63372 1889 19 twelve twelve CD 63372 1889 20 men man NNS 63372 1889 21 can can MD 63372 1889 22 follow follow VB 63372 1889 23 ; ; : 63372 1889 24 so so CC 63372 1889 25 we -PRON- PRP 63372 1889 26 may may MD 63372 1889 27 only only RB 63372 1889 28 outline outline VB 63372 1889 29 his -PRON- PRP$ 63372 1889 30 conclusions conclusion NNS 63372 1889 31 . . . 63372 1890 1 If if IN 63372 1890 2 we -PRON- PRP 63372 1890 3 assume assume VBP 63372 1890 4 that that IN 63372 1890 5 in in IN 63372 1890 6 the the DT 63372 1890 7 neighborhood neighborhood NN 63372 1890 8 of of IN 63372 1890 9 matter matter NN 63372 1890 10 the the DT 63372 1890 11 world world NN 63372 1890 12 of of IN 63372 1890 13 space space NN 63372 1890 14 - - HYPH 63372 1890 15 time time NN 63372 1890 16 is be VBZ 63372 1890 17 non non JJ 63372 1890 18 - - JJ 63372 1890 19 Euclidean euclidean JJ 63372 1890 20 , , , 63372 1890 21 and and CC 63372 1890 22 that that IN 63372 1890 23 its -PRON- PRP$ 63372 1890 24 curvature curvature NN 63372 1890 25 or or CC 63372 1890 26 distortion distortion NN 63372 1890 27 or or CC 63372 1890 28 non non NN 63372 1890 29 - - JJ 63372 1890 30 Euclideanism euclideanism NN 63372 1890 31 is be VBZ 63372 1890 32 of of IN 63372 1890 33 a a DT 63372 1890 34 certain certain JJ 63372 1890 35 type type NN 63372 1890 36 already already RB 63372 1890 37 known know VBN 63372 1890 38 to to IN 63372 1890 39 mathematicians mathematician NNS 63372 1890 40 ; ; : 63372 1890 41 that that IN 63372 1890 42 the the DT 63372 1890 43 curvature curvature NN 63372 1890 44 of of IN 63372 1890 45 this this DT 63372 1890 46 world world NN 63372 1890 47 in in IN 63372 1890 48 the the DT 63372 1890 49 neighborhood neighborhood NN 63372 1890 50 of of IN 63372 1890 51 matter matter NN 63372 1890 52 increases increase VBZ 63372 1890 53 with with IN 63372 1890 54 the the DT 63372 1890 55 mass mass NN 63372 1890 56 , , , 63372 1890 57 and and CC 63372 1890 58 decreases decrease VBZ 63372 1890 59 as as IN 63372 1890 60 the the DT 63372 1890 61 distance distance NN 63372 1890 62 from from IN 63372 1890 63 the the DT 63372 1890 64 matter matter NN 63372 1890 65 increases increase NNS 63372 1890 66 ; ; : 63372 1890 67 and and CC 63372 1890 68 that that IN 63372 1890 69 every every DT 63372 1890 70 particle particle NN 63372 1890 71 of of IN 63372 1890 72 matter matter NN 63372 1890 73 that that WDT 63372 1890 74 is be VBZ 63372 1890 75 not not RB 63372 1890 76 interfered interfere VBN 63372 1890 77 with with IN 63372 1890 78 travels travel NNS 63372 1890 79 through through IN 63372 1890 80 space space NN 63372 1890 81 - - HYPH 63372 1890 82 time time NN 63372 1890 83 in in IN 63372 1890 84 the the DT 63372 1890 85 most most RBS 63372 1890 86 direct direct JJ 63372 1890 87 path path NN 63372 1890 88 possible possible JJ 63372 1890 89 in in IN 63372 1890 90 that that DT 63372 1890 91 continuum continuum NN 63372 1890 92 ; ; : 63372 1890 93 then then RB 63372 1890 94 the the DT 63372 1890 95 observed observe VBN 63372 1890 96 facts fact NNS 63372 1890 97 of of IN 63372 1890 98 gravitation gravitation NN 63372 1890 99 are be VBP 63372 1890 100 accounted account VBN 63372 1890 101 for for IN 63372 1890 102 as as IN 63372 1890 103 an an DT 63372 1890 104 inherent inherent JJ 63372 1890 105 geometric geometric JJ 63372 1890 106 property property NN 63372 1890 107 of of IN 63372 1890 108 this this DT 63372 1890 109 space space NN 63372 1890 110 - - HYPH 63372 1890 111 time time NN 63372 1890 112 world world NN 63372 1890 113 . . . 63372 1891 1 We -PRON- PRP 63372 1891 2 usually usually RB 63372 1891 3 say say VBP 63372 1891 4 that that IN 63372 1891 5 the the DT 63372 1891 6 presence presence NN 63372 1891 7 of of IN 63372 1891 8 matter matter NN 63372 1891 9 distorts distort VBZ 63372 1891 10 this this DT 63372 1891 11 world world NN 63372 1891 12 , , , 63372 1891 13 and and CC 63372 1891 14 that that IN 63372 1891 15 this this DT 63372 1891 16 distortion distortion NN 63372 1891 17 gives give VBZ 63372 1891 18 the the DT 63372 1891 19 track track NN 63372 1891 20 of of IN 63372 1891 21 particles particle NNS 63372 1891 22 through through IN 63372 1891 23 the the DT 63372 1891 24 region region NN 63372 1891 25 affected affect VBD 63372 1891 26 its -PRON- PRP$ 63372 1891 27 non non JJ 63372 1891 28 - - JJ 63372 1891 29 uniform uniform JJ 63372 1891 30 character character NN 63372 1891 31 . . . 63372 1892 1 Gravitation gravitation NN 63372 1892 2 then then RB 63372 1892 3 is be VBZ 63372 1892 4 not not RB 63372 1892 5 a a DT 63372 1892 6 force force NN 63372 1892 7 at at RB 63372 1892 8 all all RB 63372 1892 9 ; ; : 63372 1892 10 it -PRON- PRP 63372 1892 11 is be VBZ 63372 1892 12 the the DT 63372 1892 13 fundamental fundamental JJ 63372 1892 14 nature nature NN 63372 1892 15 of of IN 63372 1892 16 things thing NNS 63372 1892 17 . . . 63372 1893 1 A a DT 63372 1893 2 body body NN 63372 1893 3 free free JJ 63372 1893 4 to to TO 63372 1893 5 move move VB 63372 1893 6 through through IN 63372 1893 7 the the DT 63372 1893 8 world world NN 63372 1893 9 must must MD 63372 1893 10 follow follow VB 63372 1893 11 some some DT 63372 1893 12 definite definite JJ 63372 1893 13 path path NN 63372 1893 14 . . . 63372 1894 1 Euclid Euclid NNP 63372 1894 2 says say VBZ 63372 1894 3 it -PRON- PRP 63372 1894 4 will will MD 63372 1894 5 stand stand VB 63372 1894 6 still still RB 63372 1894 7 ; ; : 63372 1894 8 Newton Newton NNP 63372 1894 9 that that IN 63372 1894 10 it -PRON- PRP 63372 1894 11 will will MD 63372 1894 12 traverse traverse VB 63372 1894 13 a a DT 63372 1894 14 straight straight JJ 63372 1894 15 line line NN 63372 1894 16 in in IN 63372 1894 17 three three CD 63372 1894 18 - - HYPH 63372 1894 19 space space NN 63372 1894 20 at at IN 63372 1894 21 uniform uniform JJ 63372 1894 22 time time NN 63372 1894 23 - - HYPH 63372 1894 24 rate rate NN 63372 1894 25 ; ; : 63372 1894 26 Einstein Einstein NNP 63372 1894 27 that that IN 63372 1894 28 it -PRON- PRP 63372 1894 29 will will MD 63372 1894 30 move move VB 63372 1894 31 in in IN 63372 1894 32 a a DT 63372 1894 33 " " `` 63372 1894 34 geodesic geodesic NN 63372 1894 35 " " '' 63372 1894 36 through through IN 63372 1894 37 time time NN 63372 1894 38 - - HYPH 63372 1894 39 space space NN 63372 1894 40 -- -- : 63372 1894 41 in in IN 63372 1894 42 every every DT 63372 1894 43 - - HYPH 63372 1894 44 day day NN 63372 1894 45 language language NN 63372 1894 46 , , , 63372 1894 47 that that IN 63372 1894 48 it -PRON- PRP 63372 1894 49 will will MD 63372 1894 50 fall fall VB 63372 1894 51 . . . 63372 1895 1 The the DT 63372 1895 2 numerical numerical JJ 63372 1895 3 consequences consequence NNS 63372 1895 4 of of IN 63372 1895 5 Einstein Einstein NNP 63372 1895 6 's 's POS 63372 1895 7 theory theory NN 63372 1895 8 are be VBP 63372 1895 9 , , , 63372 1895 10 within within IN 63372 1895 11 the the DT 63372 1895 12 limits limit NNS 63372 1895 13 of of IN 63372 1895 14 observation observation NN 63372 1895 15 , , , 63372 1895 16 the the DT 63372 1895 17 same same JJ 63372 1895 18 as as IN 63372 1895 19 those those DT 63372 1895 20 of of IN 63372 1895 21 Newton Newton NNP 63372 1895 22 's 's POS 63372 1895 23 for for IN 63372 1895 24 all all DT 63372 1895 25 bodies body NNS 63372 1895 26 save save VB 63372 1895 27 one one CD 63372 1895 28 -- -- : 63372 1895 29 Mercury Mercury NNP 63372 1895 30 . . . 63372 1896 1 This this DT 63372 1896 2 planet planet NN 63372 1896 3 shows show VBZ 63372 1896 4 a a DT 63372 1896 5 small small JJ 63372 1896 6 deviation deviation NN 63372 1896 7 from from IN 63372 1896 8 the the DT 63372 1896 9 path path NN 63372 1896 10 predicted predict VBN 63372 1896 11 by by IN 63372 1896 12 Newton Newton NNP 63372 1896 13 's 's POS 63372 1896 14 law law NN 63372 1896 15 ; ; : 63372 1896 16 Einstein Einstein NNP 63372 1896 17 's 's POS 63372 1896 18 theory theory NN 63372 1896 19 gives give VBZ 63372 1896 20 its -PRON- PRP$ 63372 1896 21 motion motion NN 63372 1896 22 exactly exactly RB 63372 1896 23 . . . 63372 1897 1 Again again RB 63372 1897 2 , , , 63372 1897 3 when when WRB 63372 1897 4 modern modern JJ 63372 1897 5 research research NN 63372 1897 6 showed show VBD 63372 1897 7 that that IN 63372 1897 8 light light NN 63372 1897 9 must must MD 63372 1897 10 be be VB 63372 1897 11 affected affect VBN 63372 1897 12 by by IN 63372 1897 13 gravitation gravitation NN 63372 1897 14 , , , 63372 1897 15 Einstein Einstein NNP 63372 1897 16 's 's POS 63372 1897 17 theory theory NN 63372 1897 18 , , , 63372 1897 19 because because IN 63372 1897 20 of of IN 63372 1897 21 the the DT 63372 1897 22 extreme extreme JJ 63372 1897 23 velocity velocity NN 63372 1897 24 of of IN 63372 1897 25 light light NN 63372 1897 26 , , , 63372 1897 27 deviates deviate NNS 63372 1897 28 from from IN 63372 1897 29 Newton Newton NNP 63372 1897 30 's 's POS 63372 1897 31 , , , 63372 1897 32 where where WRB 63372 1897 33 the the DT 63372 1897 34 speed speed NN 63372 1897 35 is be VBZ 63372 1897 36 less less RBR 63372 1897 37 a a DT 63372 1897 38 determining determine VBG 63372 1897 39 factor factor NN 63372 1897 40 ; ; : 63372 1897 41 and and CC 63372 1897 42 observations observation NNS 63372 1897 43 of of IN 63372 1897 44 starlight starlight NN 63372 1897 45 deflected deflect VBN 63372 1897 46 by by IN 63372 1897 47 the the DT 63372 1897 48 sun sun NN 63372 1897 49 during during IN 63372 1897 50 the the DT 63372 1897 51 eclipse eclipse NN 63372 1897 52 were be VBD 63372 1897 53 in in RB 63372 1897 54 much much RB 63372 1897 55 better well JJR 63372 1897 56 accord accord NN 63372 1897 57 with with IN 63372 1897 58 Einstein Einstein NNP 63372 1897 59 's 's POS 63372 1897 60 theory theory NN 63372 1897 61 than than IN 63372 1897 62 Newton Newton NNP 63372 1897 63 's 's POS 63372 1897 64 . . . 63372 1898 1 Moreover moreover RB 63372 1898 2 , , , 63372 1898 3 the the DT 63372 1898 4 Special Special NNP 63372 1898 5 Theory Theory NNP 63372 1898 6 predicts predict VBZ 63372 1898 7 that that IN 63372 1898 8 mass mass NN 63372 1898 9 is be VBZ 63372 1898 10 an an DT 63372 1898 11 observational observational JJ 63372 1898 12 variable variable NN 63372 1898 13 like like IN 63372 1898 14 length length NN 63372 1898 15 and and CC 63372 1898 16 duration duration NN 63372 1898 17 . . . 63372 1899 1 Radioactive radioactive JJ 63372 1899 2 emanations emanation NNS 63372 1899 3 have have VBP 63372 1899 4 a a DT 63372 1899 5 velocity velocity NN 63372 1899 6 high high JJ 63372 1899 7 enough enough RB 63372 1899 8 to to TO 63372 1899 9 give give VB 63372 1899 10 appreciable appreciable JJ 63372 1899 11 results result NNS 63372 1899 12 here here RB 63372 1899 13 , , , 63372 1899 14 and and CC 63372 1899 15 the the DT 63372 1899 16 prediction prediction NN 63372 1899 17 is be VBZ 63372 1899 18 verified verify VBN 63372 1899 19 , , , 63372 1899 20 tending tend VBG 63372 1899 21 to to TO 63372 1899 22 support support VB 63372 1899 23 the the DT 63372 1899 24 general general JJ 63372 1899 25 theory theory NN 63372 1899 26 by by IN 63372 1899 27 supporting support VBG 63372 1899 28 its -PRON- PRP$ 63372 1899 29 limiting limit VBG 63372 1899 30 case case NN 63372 1899 31 . . . 63372 1900 1 We -PRON- PRP 63372 1900 2 like like VBP 63372 1900 3 always always RB 63372 1900 4 to to TO 63372 1900 5 unify unify VB 63372 1900 6 our -PRON- PRP$ 63372 1900 7 science science NN 63372 1900 8 ; ; : 63372 1900 9 and and CC 63372 1900 10 seldom seldom RB 63372 1900 11 , , , 63372 1900 12 after after IN 63372 1900 13 effecting effect VBG 63372 1900 14 a a DT 63372 1900 15 unification unification NN 63372 1900 16 , , , 63372 1900 17 are be VBP 63372 1900 18 we -PRON- PRP 63372 1900 19 forced force VBN 63372 1900 20 to to TO 63372 1900 21 give give VB 63372 1900 22 it -PRON- PRP 63372 1900 23 up up RP 63372 1900 24 . . . 63372 1901 1 Einstein Einstein NNP 63372 1901 2 for for IN 63372 1901 3 the the DT 63372 1901 4 first first JJ 63372 1901 5 time time NN 63372 1901 6 brings bring VBZ 63372 1901 7 mechanical mechanical JJ 63372 1901 8 , , , 63372 1901 9 electromagnetic electromagnetic JJ 63372 1901 10 and and CC 63372 1901 11 gravitational gravitational JJ 63372 1901 12 phenomena phenomenon NNS 63372 1901 13 within within IN 63372 1901 14 one one CD 63372 1901 15 structure structure NN 63372 1901 16 . . . 63372 1902 1 This this DT 63372 1902 2 is be VBZ 63372 1902 3 one one CD 63372 1902 4 reason reason NN 63372 1902 5 why why WRB 63372 1902 6 physicists physicist NNS 63372 1902 7 are be VBP 63372 1902 8 so so RB 63372 1902 9 open open JJ 63372 1902 10 minded minded JJ 63372 1902 11 toward toward IN 63372 1902 12 his -PRON- PRP$ 63372 1902 13 theory theory NN 63372 1902 14 -- -- : 63372 1902 15 they -PRON- PRP 63372 1902 16 want want VBP 63372 1902 17 it -PRON- PRP 63372 1902 18 to to TO 63372 1902 19 be be VB 63372 1902 20 true true JJ 63372 1902 21 . . . 63372 1903 1 THE the DT 63372 1903 2 LAYMAN LAYMAN NNP 63372 1903 3 'S 's NN 63372 1903 4 LAST last NN 63372 1903 5 DOUBT doubt RB 63372 1903 6 The the DT 63372 1903 7 final final JJ 63372 1903 8 answer answer NN 63372 1903 9 to to IN 63372 1903 10 any any DT 63372 1903 11 series series NN 63372 1903 12 of of IN 63372 1903 13 questions question NNS 63372 1903 14 is be VBZ 63372 1903 15 inevitably inevitably RB 63372 1903 16 " " `` 63372 1903 17 because because IN 63372 1903 18 the the DT 63372 1903 19 world world NN 63372 1903 20 is be VBZ 63372 1903 21 so so RB 63372 1903 22 constructed construct VBN 63372 1903 23 . . . 63372 1903 24 " " '' 63372 1904 1 The the DT 63372 1904 2 things thing NNS 63372 1904 3 we -PRON- PRP 63372 1904 4 are be VBP 63372 1904 5 content content JJ 63372 1904 6 to to TO 63372 1904 7 leave leave VB 63372 1904 8 on on IN 63372 1904 9 that that DT 63372 1904 10 basis basis NN 63372 1904 11 are be VBP 63372 1904 12 those those DT 63372 1904 13 to to TO 63372 1904 14 which which WDT 63372 1904 15 we -PRON- PRP 63372 1904 16 are be VBP 63372 1904 17 accustomed accustomed JJ 63372 1904 18 , , , 63372 1904 19 and and CC 63372 1904 20 which which WDT 63372 1904 21 we -PRON- PRP 63372 1904 22 therefore therefore RB 63372 1904 23 think think VBP 63372 1904 24 we -PRON- PRP 63372 1904 25 understand understand VBP 63372 1904 26 ; ; : 63372 1904 27 those those DT 63372 1904 28 for for IN 63372 1904 29 which which WDT 63372 1904 30 this this DT 63372 1904 31 explanation explanation NN 63372 1904 32 leaves leave VBZ 63372 1904 33 us -PRON- PRP 63372 1904 34 unsatisfied unsatisfied JJ 63372 1904 35 are be VBP 63372 1904 36 those those DT 63372 1904 37 which which WDT 63372 1904 38 are be VBP 63372 1904 39 new new JJ 63372 1904 40 and and CC 63372 1904 41 unfamiliar unfamiliar JJ 63372 1904 42 . . . 63372 1905 1 Newton Newton NNP 63372 1905 2 told tell VBD 63372 1905 3 us -PRON- PRP 63372 1905 4 that that IN 63372 1905 5 the the DT 63372 1905 6 world world NN 63372 1905 7 of of IN 63372 1905 8 three three CD 63372 1905 9 - - HYPH 63372 1905 10 dimensional dimensional JJ 63372 1905 11 space space NN 63372 1905 12 with with IN 63372 1905 13 one one CD 63372 1905 14 - - HYPH 63372 1905 15 dimensional dimensional JJ 63372 1905 16 time time NN 63372 1905 17 superposed superpose VBN 63372 1905 18 was be VBD 63372 1905 19 so so RB 63372 1905 20 constructed construct VBN 63372 1905 21 that that IN 63372 1905 22 bodies body NNS 63372 1905 23 left leave VBN 63372 1905 24 to to IN 63372 1905 25 themselves -PRON- PRP 63372 1905 26 would would MD 63372 1905 27 go go VB 63372 1905 28 on on RP 63372 1905 29 forever forever RB 63372 1905 30 in in IN 63372 1905 31 a a DT 63372 1905 32 straight straight JJ 63372 1905 33 line line NN 63372 1905 34 at at IN 63372 1905 35 constant constant JJ 63372 1905 36 speed speed NN 63372 1905 37 . . . 63372 1906 1 We -PRON- PRP 63372 1906 2 think think VBP 63372 1906 3 we -PRON- PRP 63372 1906 4 understand understand VBP 63372 1906 5 this this DT 63372 1906 6 , , , 63372 1906 7 but but CC 63372 1906 8 our -PRON- PRP$ 63372 1906 9 understanding understanding NN 63372 1906 10 consists consist VBZ 63372 1906 11 merely merely RB 63372 1906 12 of of IN 63372 1906 13 the the DT 63372 1906 14 unspoken unspoken JJ 63372 1906 15 query query NN 63372 1906 16 , , , 63372 1906 17 " " `` 63372 1906 18 Why why WRB 63372 1906 19 , , , 63372 1906 20 of of IN 63372 1906 21 course course NN 63372 1906 22 ; ; : 63372 1906 23 what what WP 63372 1906 24 is be VBZ 63372 1906 25 there there RB 63372 1906 26 to to TO 63372 1906 27 prevent prevent VB 63372 1906 28 ? ? . 63372 1906 29 " " '' 63372 1907 1 The the DT 63372 1907 2 Greeks Greeks NNPS 63372 1907 3 , , , 63372 1907 4 an an DT 63372 1907 5 intelligent intelligent JJ 63372 1907 6 people people NNS 63372 1907 7 , , , 63372 1907 8 looked look VBD 63372 1907 9 at at IN 63372 1907 10 this this DT 63372 1907 11 differently differently RB 63372 1907 12 ; ; : 63372 1907 13 they -PRON- PRP 63372 1907 14 would would MD 63372 1907 15 have have VB 63372 1907 16 met meet VBN 63372 1907 17 Newton Newton NNP 63372 1907 18 with with IN 63372 1907 19 the the DT 63372 1907 20 unanimous unanimous JJ 63372 1907 21 demand demand NN 63372 1907 22 " " '' 63372 1907 23 Why why WRB 63372 1907 24 so so RB 63372 1907 25 ; ; : 63372 1907 26 what what WP 63372 1907 27 is be VBZ 63372 1907 28 there there RB 63372 1907 29 to to TO 63372 1907 30 keep keep VB 63372 1907 31 them -PRON- PRP 63372 1907 32 going go VBG 63372 1907 33 ? ? . 63372 1907 34 " " '' 63372 1908 1 So so CC 63372 1908 2 if if IN 63372 1908 3 , , , 63372 1908 4 in in IN 63372 1908 5 seeking seek VBG 63372 1908 6 an an DT 63372 1908 7 explanation explanation NN 63372 1908 8 of of IN 63372 1908 9 anything anything NN 63372 1908 10 , , , 63372 1908 11 we -PRON- PRP 63372 1908 12 come come VBP 63372 1908 13 sooner soon RBR 63372 1908 14 than than IN 63372 1908 15 we -PRON- PRP 63372 1908 16 had have VBD 63372 1908 17 expected expect VBN 63372 1908 18 to to IN 63372 1908 19 the the DT 63372 1908 20 finality finality NN 63372 1908 21 " " `` 63372 1908 22 Because because IN 63372 1908 23 the the DT 63372 1908 24 world world NN 63372 1908 25 is be VBZ 63372 1908 26 so so RB 63372 1908 27 constructed construct VBN 63372 1908 28 , , , 63372 1908 29 " " `` 63372 1908 30 let let VB 63372 1908 31 us -PRON- PRP 63372 1908 32 not not RB 63372 1908 33 feel feel VB 63372 1908 34 that that IN 63372 1908 35 we -PRON- PRP 63372 1908 36 have have VBP 63372 1908 37 been be VBN 63372 1908 38 cheated cheat VBN 63372 1908 39 . . . 63372 1909 1 IX ix NN 63372 1909 2 THE the DT 63372 1909 3 PRINCIPLE PRINCIPLE NNP 63372 1909 4 OF of IN 63372 1909 5 RELATIVITY RELATIVITY NNP 63372 1909 6 A A NNP 63372 1909 7 Statement Statement NNP 63372 1909 8 of of IN 63372 1909 9 What what WP 63372 1909 10 it -PRON- PRP 63372 1909 11 is be VBZ 63372 1909 12 All all RB 63372 1909 13 About about IN 63372 1909 14 , , , 63372 1909 15 in in IN 63372 1909 16 Ideas Ideas NNP 63372 1909 17 of of IN 63372 1909 18 One one CD 63372 1909 19 Syllable Syllable NNP 63372 1909 20 BY by IN 63372 1909 21 HUGH HUGH NNP 63372 1909 22 ELLIOT ELLIOT NNP 63372 1909 23 CHISLEHURST CHISLEHURST NNS 63372 1909 24 , , , 63372 1909 25 KENT KENT NNP 63372 1909 26 , , , 63372 1909 27 ENGLAND ENGLAND NNP 63372 1909 28 The the DT 63372 1909 29 invariance invariance NN 63372 1909 30 of of IN 63372 1909 31 the the DT 63372 1909 32 laws law NNS 63372 1909 33 of of IN 63372 1909 34 nature nature NN 63372 1909 35 was be VBD 63372 1909 36 one one CD 63372 1909 37 of of IN 63372 1909 38 the the DT 63372 1909 39 most most RBS 63372 1909 40 popular popular JJ 63372 1909 41 themes theme NNS 63372 1909 42 of of IN 63372 1909 43 nineteenth nineteenth JJ 63372 1909 44 century century NN 63372 1909 45 philosophy philosophy NN 63372 1909 46 . . . 63372 1910 1 For for IN 63372 1910 2 it -PRON- PRP 63372 1910 3 was be VBD 63372 1910 4 not not RB 63372 1910 5 till till IN 63372 1910 6 last last JJ 63372 1910 7 century century NN 63372 1910 8 that that IN 63372 1910 9 general general JJ 63372 1910 10 acceptance acceptance NN 63372 1910 11 was be VBD 63372 1910 12 accorded accord VBN 63372 1910 13 to to IN 63372 1910 14 the the DT 63372 1910 15 doctrine doctrine NN 63372 1910 16 of of IN 63372 1910 17 the the DT 63372 1910 18 " " `` 63372 1910 19 Uniformity Uniformity NNP 63372 1910 20 of of IN 63372 1910 21 Law Law NNP 63372 1910 22 , , , 63372 1910 23 " " '' 63372 1910 24 adumbrated adumbrate VBN 63372 1910 25 in in IN 63372 1910 26 ancient ancient JJ 63372 1910 27 times time NNS 63372 1910 28 by by IN 63372 1910 29 Epicurus Epicurus NNP 63372 1910 30 and and CC 63372 1910 31 Lucretius Lucretius NNP 63372 1910 32 . . . 63372 1911 1 It -PRON- PRP 63372 1911 2 is be VBZ 63372 1911 3 now now RB 63372 1911 4 a a DT 63372 1911 5 cardinal cardinal JJ 63372 1911 6 axiom axiom NN 63372 1911 7 of of IN 63372 1911 8 science science NN 63372 1911 9 that that WDT 63372 1911 10 the the DT 63372 1911 11 same same JJ 63372 1911 12 cause cause NN 63372 1911 13 in in IN 63372 1911 14 the the DT 63372 1911 15 same same JJ 63372 1911 16 conditions condition NNS 63372 1911 17 is be VBZ 63372 1911 18 always always RB 63372 1911 19 followed follow VBN 63372 1911 20 by by IN 63372 1911 21 the the DT 63372 1911 22 same same JJ 63372 1911 23 effect effect NN 63372 1911 24 . . . 63372 1912 1 There there EX 63372 1912 2 exists exist VBZ 63372 1912 3 in in IN 63372 1912 4 nature nature NN 63372 1912 5 no no DT 63372 1912 6 indeterminate indeterminate JJ 63372 1912 7 element element NN 63372 1912 8 ; ; : 63372 1912 9 all all DT 63372 1912 10 things thing NNS 63372 1912 11 are be VBP 63372 1912 12 governed govern VBN 63372 1912 13 by by IN 63372 1912 14 fixed fix VBN 63372 1912 15 laws law NNS 63372 1912 16 , , , 63372 1912 17 and and CC 63372 1912 18 the the DT 63372 1912 19 discovery discovery NN 63372 1912 20 of of IN 63372 1912 21 these these DT 63372 1912 22 laws law NNS 63372 1912 23 is be VBZ 63372 1912 24 the the DT 63372 1912 25 main main JJ 63372 1912 26 business business NN 63372 1912 27 of of IN 63372 1912 28 science science NN 63372 1912 29 . . . 63372 1913 1 It -PRON- PRP 63372 1913 2 is be VBZ 63372 1913 3 necessary necessary JJ 63372 1913 4 to to TO 63372 1913 5 guard guard VB 63372 1913 6 against against IN 63372 1913 7 reading reading NN 63372 1913 8 into into IN 63372 1913 9 this this DT 63372 1913 10 statement statement NN 63372 1913 11 an an DT 63372 1913 12 erroneous erroneous JJ 63372 1913 13 idea idea NN 63372 1913 14 of of IN 63372 1913 15 the the DT 63372 1913 16 content content NN 63372 1913 17 of of IN 63372 1913 18 a a DT 63372 1913 19 " " `` 63372 1913 20 law law NN 63372 1913 21 of of IN 63372 1913 22 nature nature NN 63372 1913 23 . . . 63372 1913 24 " " '' 63372 1914 1 Such such PDT 63372 1914 2 a a DT 63372 1914 3 law law NN 63372 1914 4 is be VBZ 63372 1914 5 of of IN 63372 1914 6 course course NN 63372 1914 7 not not RB 63372 1914 8 an an DT 63372 1914 9 enactment enactment NN 63372 1914 10 of of IN 63372 1914 11 any any DT 63372 1914 12 sort sort NN 63372 1914 13 ; ; , 63372 1914 14 and and CC 63372 1914 15 it -PRON- PRP 63372 1914 16 is be VBZ 63372 1914 17 not not RB 63372 1914 18 even even JJ 63372 1914 19 to to TO 63372 1914 20 be be VB 63372 1914 21 thought think VBN 63372 1914 22 of of IN 63372 1914 23 as as IN 63372 1914 24 an an DT 63372 1914 25 actual actual JJ 63372 1914 26 explanation explanation NN 63372 1914 27 of of IN 63372 1914 28 the the DT 63372 1914 29 how how WRB 63372 1914 30 and and CC 63372 1914 31 why why WRB 63372 1914 32 of of IN 63372 1914 33 the the DT 63372 1914 34 phenomena phenomenon NNS 63372 1914 35 with with IN 63372 1914 36 which which WDT 63372 1914 37 it -PRON- PRP 63372 1914 38 has have VBZ 63372 1914 39 to to TO 63372 1914 40 do do VB 63372 1914 41 . . . 63372 1915 1 It -PRON- PRP 63372 1915 2 really really RB 63372 1915 3 is be VBZ 63372 1915 4 nothing nothing NN 63372 1915 5 but but IN 63372 1915 6 an an DT 63372 1915 7 expression expression NN 63372 1915 8 of of IN 63372 1915 9 our -PRON- PRP$ 63372 1915 10 belief belief NN 63372 1915 11 in in IN 63372 1915 12 the the DT 63372 1915 13 pronouncement pronouncement NN 63372 1915 14 of of IN 63372 1915 15 the the DT 63372 1915 16 preceding precede VBG 63372 1915 17 paragraph paragraph NN 63372 1915 18 , , , 63372 1915 19 that that IN 63372 1915 20 like like IN 63372 1915 21 conditions condition NNS 63372 1915 22 do do VBP 63372 1915 23 produce produce VB 63372 1915 24 like like IN 63372 1915 25 results result NNS 63372 1915 26 . . . 63372 1916 1 It -PRON- PRP 63372 1916 2 is be VBZ 63372 1916 3 a a DT 63372 1916 4 prediction prediction NN 63372 1916 5 based base VBN 63372 1916 6 on on IN 63372 1916 7 past past JJ 63372 1916 8 experience experience NN 63372 1916 9 , , , 63372 1916 10 and and CC 63372 1916 11 is be VBZ 63372 1916 12 of of IN 63372 1916 13 value value NN 63372 1916 14 merely merely RB 63372 1916 15 in in IN 63372 1916 16 that that DT 63372 1916 17 past past JJ 63372 1916 18 experience experience NN 63372 1916 19 leads lead VBZ 63372 1916 20 us -PRON- PRP 63372 1916 21 to to TO 63372 1916 22 credit credit VB 63372 1916 23 its -PRON- PRP$ 63372 1916 24 accuracy accuracy NN 63372 1916 25 . . . 63372 1917 1 The the DT 63372 1917 2 composite composite JJ 63372 1917 3 essay essay NN 63372 1917 4 beginning begin VBG 63372 1917 5 on on IN 63372 1917 6 page page NN 63372 1917 7 19 19 CD 63372 1917 8 discusses discusse NNS 63372 1917 9 this this DT 63372 1917 10 question question NN 63372 1917 11 of of IN 63372 1917 12 the the DT 63372 1917 13 reality reality NN 63372 1917 14 of of IN 63372 1917 15 natural natural JJ 63372 1917 16 laws law NNS 63372 1917 17 , , , 63372 1917 18 and and CC 63372 1917 19 should should MD 63372 1917 20 be be VB 63372 1917 21 consulted consult VBN 63372 1917 22 in in IN 63372 1917 23 connection connection NN 63372 1917 24 with with IN 63372 1917 25 the the DT 63372 1917 26 present present JJ 63372 1917 27 contribution.--Editor contribution.--editor NN 63372 1917 28 . . . 63372 1918 1 This this DT 63372 1918 2 great great JJ 63372 1918 3 philosophic philosophic JJ 63372 1918 4 principle principle NN 63372 1918 5 was be VBD 63372 1918 6 derived derive VBN 63372 1918 7 of of IN 63372 1918 8 course course NN 63372 1918 9 from from IN 63372 1918 10 the the DT 63372 1918 11 study study NN 63372 1918 12 of of IN 63372 1918 13 natural natural JJ 63372 1918 14 science science NN 63372 1918 15 ; ; , 63372 1918 16 i.e. i.e. FW 63372 1918 17 , , , 63372 1918 18 from from IN 63372 1918 19 observations observation NNS 63372 1918 20 and and CC 63372 1918 21 experiments experiment NNS 63372 1918 22 conducted conduct VBN 63372 1918 23 upon upon IN 63372 1918 24 the the DT 63372 1918 25 earth earth NN 63372 1918 26 . . . 63372 1919 1 Their -PRON- PRP$ 63372 1919 2 comprehensiveness comprehensiveness NN 63372 1919 3 is be VBZ 63372 1919 4 therefore therefore RB 63372 1919 5 limited limit VBN 63372 1919 6 by by IN 63372 1919 7 the the DT 63372 1919 8 fact fact NN 63372 1919 9 that that IN 63372 1919 10 the the DT 63372 1919 11 observer observer NN 63372 1919 12 is be VBZ 63372 1919 13 always always RB 63372 1919 14 in in IN 63372 1919 15 a a DT 63372 1919 16 state state NN 63372 1919 17 of of IN 63372 1919 18 rest rest NN 63372 1919 19 , , , 63372 1919 20 or or CC 63372 1919 21 nearly nearly RB 63372 1919 22 so so RB 63372 1919 23 , , , 63372 1919 24 as as IN 63372 1919 25 compared compare VBN 63372 1919 26 with with IN 63372 1919 27 the the DT 63372 1919 28 earth earth NN 63372 1919 29 . . . 63372 1920 1 All all DT 63372 1920 2 observers observer NNS 63372 1920 3 upon upon IN 63372 1920 4 the the DT 63372 1920 5 earth earth NN 63372 1920 6 are be VBP 63372 1920 7 moving move VBG 63372 1920 8 through through IN 63372 1920 9 space space NN 63372 1920 10 at at IN 63372 1920 11 the the DT 63372 1920 12 same same JJ 63372 1920 13 velocity velocity NN 63372 1920 14 ; ; : 63372 1920 15 and and CC 63372 1920 16 it -PRON- PRP 63372 1920 17 was be VBD 63372 1920 18 possible possible JJ 63372 1920 19 to to TO 63372 1920 20 argue argue VB 63372 1920 21 that that IN 63372 1920 22 the the DT 63372 1920 23 uniformity uniformity NN 63372 1920 24 of of IN 63372 1920 25 law law NN 63372 1920 26 might may MD 63372 1920 27 only only RB 63372 1920 28 hold hold VB 63372 1920 29 good good JJ 63372 1920 30 , , , 63372 1920 31 when when WRB 63372 1920 32 experiments experiment NNS 63372 1920 33 were be VBD 63372 1920 34 conducted conduct VBN 63372 1920 35 at at IN 63372 1920 36 this this DT 63372 1920 37 velocity velocity NN 63372 1920 38 . . . 63372 1921 1 An an DT 63372 1921 2 observer observer NN 63372 1921 3 moving move VBG 63372 1921 4 at at IN 63372 1921 5 very very RB 63372 1921 6 different different JJ 63372 1921 7 velocity velocity NN 63372 1921 8 might may MD 63372 1921 9 discover discover VB 63372 1921 10 that that IN 63372 1921 11 the the DT 63372 1921 12 laws law NNS 63372 1921 13 of of IN 63372 1921 14 nature nature NN 63372 1921 15 under under IN 63372 1921 16 these these DT 63372 1921 17 new new JJ 63372 1921 18 conditions condition NNS 63372 1921 19 were be VBD 63372 1921 20 somewhat somewhat RB 63372 1921 21 different different JJ 63372 1921 22 . . . 63372 1922 1 Such such PDT 63372 1922 2 a a DT 63372 1922 3 view view NN 63372 1922 4 could could MD 63372 1922 5 indeed indeed RB 63372 1922 6 never never RB 63372 1922 7 be be VB 63372 1922 8 very very RB 63372 1922 9 plausible plausible JJ 63372 1922 10 , , , 63372 1922 11 for for IN 63372 1922 12 motion motion NN 63372 1922 13 is be VBZ 63372 1922 14 only only RB 63372 1922 15 a a DT 63372 1922 16 relative relative JJ 63372 1922 17 conception conception NN 63372 1922 18 . . . 63372 1923 1 Imagine imagine VB 63372 1923 2 a a DT 63372 1923 3 universe universe NN 63372 1923 4 consisting consist VBG 63372 1923 5 of of IN 63372 1923 6 infinite infinite JJ 63372 1923 7 " " `` 63372 1923 8 empty empty JJ 63372 1923 9 " " '' 63372 1923 10 space space NN 63372 1923 11 , , , 63372 1923 12 in in IN 63372 1923 13 which which WDT 63372 1923 14 there there EX 63372 1923 15 is be VBZ 63372 1923 16 poised poise VBN 63372 1923 17 a a DT 63372 1923 18 single single JJ 63372 1923 19 material material NN 63372 1923 20 body body NN 63372 1923 21 . . . 63372 1924 1 How how WRB 63372 1924 2 shall shall MD 63372 1924 3 we -PRON- PRP 63372 1924 4 determine determine VB 63372 1924 5 whether whether IN 63372 1924 6 this this DT 63372 1924 7 body body NN 63372 1924 8 is be VBZ 63372 1924 9 at at IN 63372 1924 10 rest rest NN 63372 1924 11 , , , 63372 1924 12 or or CC 63372 1924 13 whether whether IN 63372 1924 14 it -PRON- PRP 63372 1924 15 is be VBZ 63372 1924 16 moving move VBG 63372 1924 17 at at IN 63372 1924 18 high high JJ 63372 1924 19 or or CC 63372 1924 20 low low JJ 63372 1924 21 velocity velocity NN 63372 1924 22 through through IN 63372 1924 23 space space NN 63372 1924 24 ? ? . 63372 1925 1 It -PRON- PRP 63372 1925 2 is be VBZ 63372 1925 3 never never RB 63372 1925 4 getting get VBG 63372 1925 5 nearer nearer NN 63372 1925 6 to to IN 63372 1925 7 anything anything NN 63372 1925 8 or or CC 63372 1925 9 farther farther RB 63372 1925 10 from from IN 63372 1925 11 anything anything NN 63372 1925 12 , , , 63372 1925 13 since since IN 63372 1925 14 there there EX 63372 1925 15 is be VBZ 63372 1925 16 no no DT 63372 1925 17 other other JJ 63372 1925 18 body body NN 63372 1925 19 for for IN 63372 1925 20 it -PRON- PRP 63372 1925 21 to to TO 63372 1925 22 get get VB 63372 1925 23 nearer near JJR 63372 1925 24 to to IN 63372 1925 25 or or CC 63372 1925 26 farther farther RB 63372 1925 27 from from IN 63372 1925 28 . . . 63372 1926 1 If if IN 63372 1926 2 we -PRON- PRP 63372 1926 3 say say VBP 63372 1926 4 it -PRON- PRP 63372 1926 5 is be VBZ 63372 1926 6 moving move VBG 63372 1926 7 at at IN 63372 1926 8 a a DT 63372 1926 9 uniform uniform JJ 63372 1926 10 velocity velocity NN 63372 1926 11 of of IN 63372 1926 12 a a DT 63372 1926 13 thousand thousand CD 63372 1926 14 miles mile NNS 63372 1926 15 a a DT 63372 1926 16 second second JJ 63372 1926 17 , , , 63372 1926 18 our -PRON- PRP$ 63372 1926 19 statement statement NN 63372 1926 20 really really RB 63372 1926 21 has have VBZ 63372 1926 22 no no DT 63372 1926 23 significance significance NN 63372 1926 24 . . . 63372 1927 1 We -PRON- PRP 63372 1927 2 have have VBP 63372 1927 3 no no DT 63372 1927 4 more more JJR 63372 1927 5 reason reason NN 63372 1927 6 for for IN 63372 1927 7 affirming affirming NN 63372 1927 8 that that IN 63372 1927 9 it -PRON- PRP 63372 1927 10 is be VBZ 63372 1927 11 in in IN 63372 1927 12 motion motion NN 63372 1927 13 than than IN 63372 1927 14 we -PRON- PRP 63372 1927 15 have have VBP 63372 1927 16 for for IN 63372 1927 17 affirming affirm VBG 63372 1927 18 that that IN 63372 1927 19 it -PRON- PRP 63372 1927 20 is be VBZ 63372 1927 21 at at IN 63372 1927 22 rest rest NN 63372 1927 23 . . . 63372 1928 1 In in IN 63372 1928 2 short short JJ 63372 1928 3 , , , 63372 1928 4 there there EX 63372 1928 5 is be VBZ 63372 1928 6 no no DT 63372 1928 7 such such JJ 63372 1928 8 thing thing NN 63372 1928 9 as as IN 63372 1928 10 absolute absolute JJ 63372 1928 11 motion motion NN 63372 1928 12 ; ; : 63372 1928 13 the the DT 63372 1928 14 conception conception NN 63372 1928 15 of of IN 63372 1928 16 motion motion NN 63372 1928 17 only only RB 63372 1928 18 arises arise VBZ 63372 1928 19 when when WRB 63372 1928 20 there there EX 63372 1928 21 are be VBP 63372 1928 22 two two CD 63372 1928 23 or or CC 63372 1928 24 more more JJR 63372 1928 25 bodies body NNS 63372 1928 26 changing change VBG 63372 1928 27 their -PRON- PRP$ 63372 1928 28 position position NN 63372 1928 29 relatively relatively RB 63372 1928 30 to to IN 63372 1928 31 one one CD 63372 1928 32 another another DT 63372 1928 33 . . . 63372 1929 1 This this DT 63372 1929 2 is be VBZ 63372 1929 3 what what WP 63372 1929 4 is be VBZ 63372 1929 5 meant mean VBN 63372 1929 6 by by IN 63372 1929 7 the the DT 63372 1929 8 relativity relativity NN 63372 1929 9 of of IN 63372 1929 10 motion motion NN 63372 1929 11 . . . 63372 1930 1 It -PRON- PRP 63372 1930 2 seemed seem VBD 63372 1930 3 therefore therefore RB 63372 1930 4 improbable improbable JJ 63372 1930 5 that that IN 63372 1930 6 the the DT 63372 1930 7 laws law NNS 63372 1930 8 of of IN 63372 1930 9 nature nature NN 63372 1930 10 would would MD 63372 1930 11 be be VB 63372 1930 12 different different JJ 63372 1930 13 if if IN 63372 1930 14 the the DT 63372 1930 15 observer observer NN 63372 1930 16 were be VBD 63372 1930 17 moving move VBG 63372 1930 18 at at IN 63372 1930 19 high high JJ 63372 1930 20 velocity velocity NN 63372 1930 21 ; ; : 63372 1930 22 for for IN 63372 1930 23 the the DT 63372 1930 24 movement movement NN 63372 1930 25 of of IN 63372 1930 26 the the DT 63372 1930 27 observer observer NN 63372 1930 28 is be VBZ 63372 1930 29 not not RB 63372 1930 30 an an DT 63372 1930 31 absolute absolute JJ 63372 1930 32 quantity quantity NN 63372 1930 33 , , , 63372 1930 34 but but CC 63372 1930 35 merely merely RB 63372 1930 36 a a DT 63372 1930 37 statement statement NN 63372 1930 38 of of IN 63372 1930 39 his -PRON- PRP$ 63372 1930 40 relation relation NN 63372 1930 41 to to IN 63372 1930 42 other other JJ 63372 1930 43 bodies body NNS 63372 1930 44 , , , 63372 1930 45 and and CC 63372 1930 46 if if IN 63372 1930 47 there there EX 63372 1930 48 were be VBD 63372 1930 49 no no DT 63372 1930 50 other other JJ 63372 1930 51 bodies body NNS 63372 1930 52 , , , 63372 1930 53 the the DT 63372 1930 54 statement statement NN 63372 1930 55 itself -PRON- PRP 63372 1930 56 would would MD 63372 1930 57 be be VB 63372 1930 58 meaningless meaningless JJ 63372 1930 59 . . . 63372 1931 1 THE the DT 63372 1931 2 BEHAVIOR BEHAVIOR NNP 63372 1931 3 OF of IN 63372 1931 4 LIGHT LIGHT NNP 63372 1931 5 Now now RB 63372 1931 6 among among IN 63372 1931 7 the the DT 63372 1931 8 established established JJ 63372 1931 9 laws law NNS 63372 1931 10 of of IN 63372 1931 11 nature nature NN 63372 1931 12 is be VBZ 63372 1931 13 that that DT 63372 1931 14 which which WDT 63372 1931 15 specifies specify VBZ 63372 1931 16 the the DT 63372 1931 17 velocity velocity NN 63372 1931 18 of of IN 63372 1931 19 light light NN 63372 1931 20 moving move VBG 63372 1931 21 through through IN 63372 1931 22 a a DT 63372 1931 23 vacuum vacuum NN 63372 1931 24 . . . 63372 1932 1 If if IN 63372 1932 2 the the DT 63372 1932 3 laws law NNS 63372 1932 4 of of IN 63372 1932 5 nature nature NN 63372 1932 6 are be VBP 63372 1932 7 invariable invariable JJ 63372 1932 8 , , , 63372 1932 9 this this DT 63372 1932 10 velocity velocity NN 63372 1932 11 will will MD 63372 1932 12 always always RB 63372 1932 13 be be VB 63372 1932 14 the the DT 63372 1932 15 same same JJ 63372 1932 16 . . . 63372 1933 1 But but CC 63372 1933 2 consider consider VB 63372 1933 3 what what WP 63372 1933 4 would would MD 63372 1933 5 happen happen VB 63372 1933 6 under under IN 63372 1933 7 the the DT 63372 1933 8 following follow VBG 63372 1933 9 circumstances circumstance NNS 63372 1933 10 : : : 63372 1933 11 Suppose suppose VB 63372 1933 12 that that IN 63372 1933 13 we -PRON- PRP 63372 1933 14 are be VBP 63372 1933 15 at at IN 63372 1933 16 rest rest NN 63372 1933 17 , , , 63372 1933 18 and and CC 63372 1933 19 that that IN 63372 1933 20 an an DT 63372 1933 21 observer observer NN 63372 1933 22 on on IN 63372 1933 23 another another DT 63372 1933 24 body body NN 63372 1933 25 flies fly VBZ 63372 1933 26 past past IN 63372 1933 27 us -PRON- PRP 63372 1933 28 at at IN 63372 1933 29 150,000 150,000 CD 63372 1933 30 miles mile NNS 63372 1933 31 a a DT 63372 1933 32 second second NN 63372 1933 33 . . . 63372 1934 1 Suppose suppose VB 63372 1934 2 that that IN 63372 1934 3 at at IN 63372 1934 4 the the DT 63372 1934 5 moment moment NN 63372 1934 6 he -PRON- PRP 63372 1934 7 passes pass VBZ 63372 1934 8 , , , 63372 1934 9 a a DT 63372 1934 10 piece piece NN 63372 1934 11 of of IN 63372 1934 12 flint flint NN 63372 1934 13 projecting projecting NN 63372 1934 14 from from IN 63372 1934 15 him -PRON- PRP 63372 1934 16 grazes graze VBZ 63372 1934 17 a a DT 63372 1934 18 piece piece NN 63372 1934 19 of of IN 63372 1934 20 steel steel NN 63372 1934 21 projecting project VBG 63372 1934 22 from from IN 63372 1934 23 us -PRON- PRP 63372 1934 24 , , , 63372 1934 25 giving give VBG 63372 1934 26 rise rise NN 63372 1934 27 to to IN 63372 1934 28 a a DT 63372 1934 29 spark spark NN 63372 1934 30 ; ; : 63372 1934 31 and and CC 63372 1934 32 that that IN 63372 1934 33 we -PRON- PRP 63372 1934 34 both both DT 63372 1934 35 thereupon thereupon RB 63372 1934 36 set set VBD 63372 1934 37 about about RP 63372 1934 38 to to TO 63372 1934 39 measure measure VB 63372 1934 40 the the DT 63372 1934 41 velocity velocity NN 63372 1934 42 of of IN 63372 1934 43 the the DT 63372 1934 44 light light NN 63372 1934 45 so so RB 63372 1934 46 produced produce VBN 63372 1934 47 . . . 63372 1935 1 After after IN 63372 1935 2 one one CD 63372 1935 3 second second NN 63372 1935 4 , , , 63372 1935 5 we -PRON- PRP 63372 1935 6 should should MD 63372 1935 7 find find VB 63372 1935 8 that that IN 63372 1935 9 the the DT 63372 1935 10 light light NN 63372 1935 11 had have VBD 63372 1935 12 traveled travel VBN 63372 1935 13 about about IN 63372 1935 14 186,000 186,000 CD 63372 1935 15 miles mile NNS 63372 1935 16 away away RB 63372 1935 17 , , , 63372 1935 18 and and CC 63372 1935 19 since since IN 63372 1935 20 during during IN 63372 1935 21 this this DT 63372 1935 22 second second JJ 63372 1935 23 the the DT 63372 1935 24 other other JJ 63372 1935 25 observer observer NN 63372 1935 26 had have VBD 63372 1935 27 traveled travel VBN 63372 1935 28 150,000 150,000 CD 63372 1935 29 miles mile NNS 63372 1935 30 , , , 63372 1935 31 we -PRON- PRP 63372 1935 32 should should MD 63372 1935 33 infer infer VB 63372 1935 34 that that IN 63372 1935 35 the the DT 63372 1935 36 light light NN 63372 1935 37 traveling travel VBG 63372 1935 38 in in IN 63372 1935 39 his -PRON- PRP$ 63372 1935 40 direction direction NN 63372 1935 41 was be VBD 63372 1935 42 only only RB 63372 1935 43 about about RB 63372 1935 44 36,000 36,000 CD 63372 1935 45 miles mile NNS 63372 1935 46 ahead ahead RB 63372 1935 47 of of IN 63372 1935 48 him -PRON- PRP 63372 1935 49 . . . 63372 1936 1 We -PRON- PRP 63372 1936 2 should should MD 63372 1936 3 also also RB 63372 1936 4 infer infer VB 63372 1936 5 that that IN 63372 1936 6 he -PRON- PRP 63372 1936 7 would would MD 63372 1936 8 find find VB 63372 1936 9 this this DT 63372 1936 10 out out RP 63372 1936 11 by by IN 63372 1936 12 his -PRON- PRP$ 63372 1936 13 experiment experiment NN 63372 1936 14 , , , 63372 1936 15 and and CC 63372 1936 16 that that IN 63372 1936 17 he -PRON- PRP 63372 1936 18 would would MD 63372 1936 19 estimate estimate VB 63372 1936 20 the the DT 63372 1936 21 velocity velocity NN 63372 1936 22 of of IN 63372 1936 23 light light NN 63372 1936 24 as as IN 63372 1936 25 only only RB 63372 1936 26 36,000 36,000 CD 63372 1936 27 miles mile NNS 63372 1936 28 a a DT 63372 1936 29 second second JJ 63372 1936 30 in in IN 63372 1936 31 his -PRON- PRP$ 63372 1936 32 own own JJ 63372 1936 33 direction direction NN 63372 1936 34 , , , 63372 1936 35 and and CC 63372 1936 36 336,000 336,000 CD 63372 1936 37 miles mile NNS 63372 1936 38 a a DT 63372 1936 39 second second NN 63372 1936 40 in in IN 63372 1936 41 the the DT 63372 1936 42 opposite opposite JJ 63372 1936 43 direction direction NN 63372 1936 44 . . . 63372 1937 1 But but CC 63372 1937 2 if if IN 63372 1937 3 this this DT 63372 1937 4 is be VBZ 63372 1937 5 so so RB 63372 1937 6 , , , 63372 1937 7 then then RB 63372 1937 8 that that DT 63372 1937 9 law law NN 63372 1937 10 of of IN 63372 1937 11 nature nature NN 63372 1937 12 which which WDT 63372 1937 13 specifies specify VBZ 63372 1937 14 the the DT 63372 1937 15 velocity velocity NN 63372 1937 16 of of IN 63372 1937 17 light light NN 63372 1937 18 is be VBZ 63372 1937 19 quite quite RB 63372 1937 20 different different JJ 63372 1937 21 for for IN 63372 1937 22 him -PRON- PRP 63372 1937 23 and and CC 63372 1937 24 for for IN 63372 1937 25 us -PRON- PRP 63372 1937 26 : : : 63372 1937 27 the the DT 63372 1937 28 laws law NNS 63372 1937 29 of of IN 63372 1937 30 nature nature NN 63372 1937 31 must must MD 63372 1937 32 be be VB 63372 1937 33 dependent dependent JJ 63372 1937 34 upon upon IN 63372 1937 35 the the DT 63372 1937 36 observer observer NN 63372 1937 37 's 's POS 63372 1937 38 motion motion NN 63372 1937 39 -- -- : 63372 1937 40 a a DT 63372 1937 41 conclusion conclusion NN 63372 1937 42 which which WDT 63372 1937 43 appears appear VBZ 63372 1937 44 incompatible incompatible JJ 63372 1937 45 with with IN 63372 1937 46 the the DT 63372 1937 47 idea idea NN 63372 1937 48 of of IN 63372 1937 49 the the DT 63372 1937 50 relativity relativity NN 63372 1937 51 of of IN 63372 1937 52 motion motion NN 63372 1937 53 . . . 63372 1938 1 And and CC 63372 1938 2 it -PRON- PRP 63372 1938 3 so so RB 63372 1938 4 happens happen VBZ 63372 1938 5 that that IN 63372 1938 6 it -PRON- PRP 63372 1938 7 is be VBZ 63372 1938 8 also also RB 63372 1938 9 contradictory contradictory JJ 63372 1938 10 to to IN 63372 1938 11 experimental experimental JJ 63372 1938 12 conclusions conclusion NNS 63372 1938 13 . . . 63372 1939 1 Experiments experiment NNS 63372 1939 2 undertaken undertake VBD 63372 1939 3 to to TO 63372 1939 4 settle settle VB 63372 1939 5 the the DT 63372 1939 6 point point NN 63372 1939 7 show show VBP 63372 1939 8 that that IN 63372 1939 9 each each DT 63372 1939 10 observer observer NN 63372 1939 11 finds find VBZ 63372 1939 12 the the DT 63372 1939 13 same same JJ 63372 1939 14 velocity velocity NN 63372 1939 15 for for IN 63372 1939 16 the the DT 63372 1939 17 light light NN 63372 1939 18 of of IN 63372 1939 19 the the DT 63372 1939 20 spark spark NN 63372 1939 21 ; ; : 63372 1939 22 and and CC 63372 1939 23 after after IN 63372 1939 24 one one CD 63372 1939 25 second second NN 63372 1939 26 , , , 63372 1939 27 each each DT 63372 1939 28 observer observer NN 63372 1939 29 finds find VBZ 63372 1939 30 that that IN 63372 1939 31 the the DT 63372 1939 32 light light NN 63372 1939 33 has have VBZ 63372 1939 34 traveled travel VBN 63372 1939 35 186,000 186,000 CD 63372 1939 36 miles mile NNS 63372 1939 37 from from IN 63372 1939 38 himself -PRON- PRP 63372 1939 39 . . . 63372 1940 1 But but CC 63372 1940 2 how how WRB 63372 1940 3 is be VBZ 63372 1940 4 it -PRON- PRP 63372 1940 5 possible possible JJ 63372 1940 6 that that IN 63372 1940 7 when when WRB 63372 1940 8 it -PRON- PRP 63372 1940 9 has have VBZ 63372 1940 10 traveled travel VBN 63372 1940 11 186,000 186,000 CD 63372 1940 12 miles mile NNS 63372 1940 13 in in IN 63372 1940 14 the the DT 63372 1940 15 same same JJ 63372 1940 16 direction direction NN 63372 1940 17 as as IN 63372 1940 18 the the DT 63372 1940 19 other other JJ 63372 1940 20 observer observer NN 63372 1940 21 who who WP 63372 1940 22 himself -PRON- PRP 63372 1940 23 has have VBZ 63372 1940 24 moved move VBN 63372 1940 25 150,000 150,000 CD 63372 1940 26 miles mile NNS 63372 1940 27 meanwhile meanwhile RB 63372 1940 28 , , , 63372 1940 29 he -PRON- PRP 63372 1940 30 should should MD 63372 1940 31 still still RB 63372 1940 32 think think VB 63372 1940 33 it -PRON- PRP 63372 1940 34 186,000 186,000 CD 63372 1940 35 miles mile NNS 63372 1940 36 ahead ahead RB 63372 1940 37 of of IN 63372 1940 38 him -PRON- PRP 63372 1940 39 ? ? . 63372 1941 1 That that DT 63372 1941 2 is be VBZ 63372 1941 3 the the DT 63372 1941 4 initial initial JJ 63372 1941 5 paradox paradox NN 63372 1941 6 ; ; : 63372 1941 7 and and CC 63372 1941 8 since since IN 63372 1941 9 there there EX 63372 1941 10 has have VBZ 63372 1941 11 been be VBN 63372 1941 12 no no DT 63372 1941 13 room room NN 63372 1941 14 for for IN 63372 1941 15 error error NN 63372 1941 16 in in IN 63372 1941 17 the the DT 63372 1941 18 experiments experiment NNS 63372 1941 19 , , , 63372 1941 20 we -PRON- PRP 63372 1941 21 are be VBP 63372 1941 22 forced force VBN 63372 1941 23 to to TO 63372 1941 24 conclude conclude VB 63372 1941 25 that that IN 63372 1941 26 there there EX 63372 1941 27 was be VBD 63372 1941 28 something something NN 63372 1941 29 wrong wrong JJ 63372 1941 30 in in IN 63372 1941 31 the the DT 63372 1941 32 assumptions assumption NNS 63372 1941 33 and and CC 63372 1941 34 preconceptions preconception NNS 63372 1941 35 with with IN 63372 1941 36 which which WDT 63372 1941 37 we -PRON- PRP 63372 1941 38 started start VBD 63372 1941 39 . . . 63372 1942 1 SPACE space NN 63372 1942 2 AND and CC 63372 1942 3 TIME time NN 63372 1942 4 There there EX 63372 1942 5 can can MD 63372 1942 6 in in IN 63372 1942 7 fact fact NN 63372 1942 8 be be VB 63372 1942 9 only only RB 63372 1942 10 one one CD 63372 1942 11 interpretation interpretation NN 63372 1942 12 . . . 63372 1943 1 If if IN 63372 1943 2 we -PRON- PRP 63372 1943 3 each each DT 63372 1943 4 find find VBP 63372 1943 5 that that IN 63372 1943 6 the the DT 63372 1943 7 light light NN 63372 1943 8 has have VBZ 63372 1943 9 moved move VBN 63372 1943 10 the the DT 63372 1943 11 same same JJ 63372 1943 12 number number NN 63372 1943 13 of of IN 63372 1943 14 miles mile NNS 63372 1943 15 in in IN 63372 1943 16 the the DT 63372 1943 17 same same JJ 63372 1943 18 number number NN 63372 1943 19 of of IN 63372 1943 20 seconds second NNS 63372 1943 21 , , , 63372 1943 22 then then RB 63372 1943 23 we -PRON- PRP 63372 1943 24 must must MD 63372 1943 25 be be VB 63372 1943 26 meaning mean VBG 63372 1943 27 something something NN 63372 1943 28 different different JJ 63372 1943 29 when when WRB 63372 1943 30 we -PRON- PRP 63372 1943 31 speak speak VBP 63372 1943 32 of of IN 63372 1943 33 miles mile NNS 63372 1943 34 and and CC 63372 1943 35 seconds second NNS 63372 1943 36 . . . 63372 1944 1 We -PRON- PRP 63372 1944 2 are be VBP 63372 1944 3 speaking speak VBG 63372 1944 4 in in IN 63372 1944 5 different different JJ 63372 1944 6 languages language NNS 63372 1944 7 . . . 63372 1945 1 Some some DT 63372 1945 2 subsidence subsidence NN 63372 1945 3 has have VBZ 63372 1945 4 occurred occur VBN 63372 1945 5 in in IN 63372 1945 6 the the DT 63372 1945 7 foundations foundation NNS 63372 1945 8 of of IN 63372 1945 9 our -PRON- PRP$ 63372 1945 10 systems system NNS 63372 1945 11 of of IN 63372 1945 12 measurement measurement NN 63372 1945 13 . . . 63372 1946 1 We -PRON- PRP 63372 1946 2 are be VBP 63372 1946 3 each each DT 63372 1946 4 referring refer VBG 63372 1946 5 to to IN 63372 1946 6 one one CD 63372 1946 7 and and CC 63372 1946 8 the the DT 63372 1946 9 same same JJ 63372 1946 10 objective objective JJ 63372 1946 11 fact fact NN 63372 1946 12 ; ; : 63372 1946 13 but but CC 63372 1946 14 since since IN 63372 1946 15 we -PRON- PRP 63372 1946 16 describe describe VBP 63372 1946 17 it -PRON- PRP 63372 1946 18 quite quite RB 63372 1946 19 differently differently RB 63372 1946 20 , , , 63372 1946 21 and and CC 63372 1946 22 at at IN 63372 1946 23 first first JJ 63372 1946 24 sight sight NN 63372 1946 25 incompatibly incompatibly RB 63372 1946 26 , , , 63372 1946 27 some some DT 63372 1946 28 profound profound JJ 63372 1946 29 alteration alteration NN 63372 1946 30 must must MD 63372 1946 31 have have VB 63372 1946 32 occurred occur VBN 63372 1946 33 in in IN 63372 1946 34 our -PRON- PRP$ 63372 1946 35 perceptions perception NNS 63372 1946 36 -- -- : 63372 1946 37 all all DT 63372 1946 38 unsuspected unsuspected JJ 63372 1946 39 by by IN 63372 1946 40 ourselves -PRON- PRP 63372 1946 41 . . . 63372 1947 1 It -PRON- PRP 63372 1947 2 has have VBZ 63372 1947 3 been be VBN 63372 1947 4 shown show VBN 63372 1947 5 precisely precisely RB 63372 1947 6 what what WP 63372 1947 7 this this DT 63372 1947 8 alteration alteration NN 63372 1947 9 is be VBZ 63372 1947 10 . . . 63372 1948 1 A a DT 63372 1948 2 body body NN 63372 1948 3 moving move VBG 63372 1948 4 at at IN 63372 1948 5 high high JJ 63372 1948 6 velocity velocity NN 63372 1948 7 must must MD 63372 1948 8 become become VB 63372 1948 9 flattened flatten VBN 63372 1948 10 in in IN 63372 1948 11 the the DT 63372 1948 12 direction direction NN 63372 1948 13 of of IN 63372 1948 14 its -PRON- PRP$ 63372 1948 15 motion motion NN 63372 1948 16 ; ; : 63372 1948 17 all all PDT 63372 1948 18 its -PRON- PRP$ 63372 1948 19 measuring measure VBG 63372 1948 20 apparatus apparatus NN 63372 1948 21 , , , 63372 1948 22 when when WRB 63372 1948 23 turned turn VBN 63372 1948 24 in in RP 63372 1948 25 that that DT 63372 1948 26 direction direction NN 63372 1948 27 , , , 63372 1948 28 is be VBZ 63372 1948 29 shortened shorten VBN 63372 1948 30 , , , 63372 1948 31 so so IN 63372 1948 32 that that IN 63372 1948 33 no no DT 63372 1948 34 hint hint NN 63372 1948 35 of of IN 63372 1948 36 the the DT 63372 1948 37 flattening flattening NN 63372 1948 38 can can MD 63372 1948 39 be be VB 63372 1948 40 obtained obtain VBN 63372 1948 41 from from IN 63372 1948 42 it -PRON- PRP 63372 1948 43 . . . 63372 1949 1 Furthermore furthermore RB 63372 1949 2 , , , 63372 1949 3 the the DT 63372 1949 4 standards standard NNS 63372 1949 5 of of IN 63372 1949 6 time time NN 63372 1949 7 are be VBP 63372 1949 8 lengthened lengthen VBN 63372 1949 9 out out RP 63372 1949 10 , , , 63372 1949 11 and and CC 63372 1949 12 clocks clock NNS 63372 1949 13 go go VBP 63372 1949 14 slower slow JJR 63372 1949 15 . . . 63372 1950 1 The the DT 63372 1950 2 extent extent NN 63372 1950 3 of of IN 63372 1950 4 this this DT 63372 1950 5 alteration alteration NN 63372 1950 6 in in IN 63372 1950 7 standards standard NNS 63372 1950 8 of of IN 63372 1950 9 space space NN 63372 1950 10 and and CC 63372 1950 11 time time NN 63372 1950 12 is be VBZ 63372 1950 13 stated state VBN 63372 1950 14 in in IN 63372 1950 15 the the DT 63372 1950 16 equations equation NNS 63372 1950 17 of of IN 63372 1950 18 the the DT 63372 1950 19 so so RB 63372 1950 20 - - HYPH 63372 1950 21 called call VBN 63372 1950 22 Lorentz Lorentz NNP 63372 1950 23 transformation transformation NN 63372 1950 24 . . . 63372 1951 1 Objection objection NN 63372 1951 2 might may MD 63372 1951 3 be be VB 63372 1951 4 urged urge VBN 63372 1951 5 to to IN 63372 1951 6 the the DT 63372 1951 7 above above JJ 63372 1951 8 paragraph paragraph NN 63372 1951 9 on on IN 63372 1951 10 the the DT 63372 1951 11 ground ground NN 63372 1951 12 that that IN 63372 1951 13 the the DT 63372 1951 14 connection connection NN 63372 1951 15 of of IN 63372 1951 16 the the DT 63372 1951 17 observer observer NN 63372 1951 18 with with IN 63372 1951 19 the the DT 63372 1951 20 variability variability NN 63372 1951 21 of of IN 63372 1951 22 measured measured JJ 63372 1951 23 lengths length NNS 63372 1951 24 and and CC 63372 1951 25 times time NNS 63372 1951 26 is be VBZ 63372 1951 27 not not RB 63372 1951 28 sufficiently sufficiently RB 63372 1951 29 indicated indicate VBN 63372 1951 30 , , , 63372 1951 31 and and CC 63372 1951 32 that that IN 63372 1951 33 this this DT 63372 1951 34 variability variability NN 63372 1951 35 therefore therefore RB 63372 1951 36 might may MD 63372 1951 37 be be VB 63372 1951 38 taken take VBN 63372 1951 39 as as IN 63372 1951 40 an an DT 63372 1951 41 intrinsic intrinsic JJ 63372 1951 42 property property NN 63372 1951 43 of of IN 63372 1951 44 the the DT 63372 1951 45 observed observed JJ 63372 1951 46 body body NN 63372 1951 47 -- -- : 63372 1951 48 which which WDT 63372 1951 49 of of IN 63372 1951 50 course course NN 63372 1951 51 it -PRON- PRP 63372 1951 52 is be VBZ 63372 1951 53 not.--Editor not.--editor NN 63372 1951 54 . . . 63372 1952 1 We -PRON- PRP 63372 1952 2 are be VBP 63372 1952 3 accustomed accustomed JJ 63372 1952 4 to to TO 63372 1952 5 describe describe VB 63372 1952 6 space space NN 63372 1952 7 as as IN 63372 1952 8 being be VBG 63372 1952 9 of of IN 63372 1952 10 three three CD 63372 1952 11 dimensions dimension NNS 63372 1952 12 , , , 63372 1952 13 and and CC 63372 1952 14 time time NN 63372 1952 15 as as IN 63372 1952 16 being be VBG 63372 1952 17 of of IN 63372 1952 18 one one CD 63372 1952 19 dimension dimension NN 63372 1952 20 . . . 63372 1953 1 As as IN 63372 1953 2 a a DT 63372 1953 3 matter matter NN 63372 1953 4 of of IN 63372 1953 5 fact fact NN 63372 1953 6 , , , 63372 1953 7 both both CC 63372 1953 8 space space NN 63372 1953 9 and and CC 63372 1953 10 time time NN 63372 1953 11 are be VBP 63372 1953 12 " " `` 63372 1953 13 ideas idea NNS 63372 1953 14 , , , 63372 1953 15 " " '' 63372 1953 16 and and CC 63372 1953 17 not not RB 63372 1953 18 immediate immediate JJ 63372 1953 19 sense sense NN 63372 1953 20 - - HYPH 63372 1953 21 perceptions perception NNS 63372 1953 22 . . . 63372 1954 1 We -PRON- PRP 63372 1954 2 perceive perceive VBP 63372 1954 3 matter matter NN 63372 1954 4 ; ; : 63372 1954 5 we -PRON- PRP 63372 1954 6 then then RB 63372 1954 7 infer infer VBP 63372 1954 8 a a DT 63372 1954 9 universal universal JJ 63372 1954 10 continuum continuum NN 63372 1954 11 filled fill VBN 63372 1954 12 by by IN 63372 1954 13 it -PRON- PRP 63372 1954 14 , , , 63372 1954 15 which which WDT 63372 1954 16 we -PRON- PRP 63372 1954 17 call call VBP 63372 1954 18 space space NN 63372 1954 19 . . . 63372 1955 1 If if IN 63372 1955 2 we -PRON- PRP 63372 1955 3 had have VBD 63372 1955 4 no no DT 63372 1955 5 knowledge knowledge NN 63372 1955 6 of of IN 63372 1955 7 matter matter NN 63372 1955 8 , , , 63372 1955 9 we -PRON- PRP 63372 1955 10 should should MD 63372 1955 11 have have VB 63372 1955 12 no no DT 63372 1955 13 conception conception NN 63372 1955 14 of of IN 63372 1955 15 space space NN 63372 1955 16 . . . 63372 1956 1 Similarly similarly RB 63372 1956 2 in in IN 63372 1956 3 the the DT 63372 1956 4 case case NN 63372 1956 5 of of IN 63372 1956 6 time time NN 63372 1956 7 : : : 63372 1956 8 we -PRON- PRP 63372 1956 9 perceive perceive VBP 63372 1956 10 one one CD 63372 1956 11 event event NN 63372 1956 12 following follow VBG 63372 1956 13 another another DT 63372 1956 14 , , , 63372 1956 15 and and CC 63372 1956 16 we -PRON- PRP 63372 1956 17 then then RB 63372 1956 18 invent invent VBP 63372 1956 19 a a DT 63372 1956 20 continuum continuum NN 63372 1956 21 which which WDT 63372 1956 22 we -PRON- PRP 63372 1956 23 call call VBP 63372 1956 24 time time NN 63372 1956 25 , , , 63372 1956 26 as as IN 63372 1956 27 an an DT 63372 1956 28 abstraction abstraction NN 63372 1956 29 based base VBN 63372 1956 30 on on IN 63372 1956 31 the the DT 63372 1956 32 sequence sequence NN 63372 1956 33 of of IN 63372 1956 34 events event NNS 63372 1956 35 . . . 63372 1957 1 We -PRON- PRP 63372 1957 2 do do VBP 63372 1957 3 not not RB 63372 1957 4 see see VB 63372 1957 5 space space NN 63372 1957 6 , , , 63372 1957 7 and and CC 63372 1957 8 we -PRON- PRP 63372 1957 9 do do VBP 63372 1957 10 not not RB 63372 1957 11 see see VB 63372 1957 12 time time NN 63372 1957 13 . . . 63372 1958 1 They -PRON- PRP 63372 1958 2 are be VBP 63372 1958 3 not not RB 63372 1958 4 real real JJ 63372 1958 5 things thing NNS 63372 1958 6 , , , 63372 1958 7 in in IN 63372 1958 8 the the DT 63372 1958 9 sense sense NN 63372 1958 10 that that IN 63372 1958 11 matter matter NN 63372 1958 12 is be VBZ 63372 1958 13 real real JJ 63372 1958 14 , , , 63372 1958 15 and and CC 63372 1958 16 that that IN 63372 1958 17 events event NNS 63372 1958 18 are be VBP 63372 1958 19 real real JJ 63372 1958 20 . . . 63372 1959 1 They -PRON- PRP 63372 1959 2 are be VBP 63372 1959 3 products product NNS 63372 1959 4 of of IN 63372 1959 5 imagination imagination NN 63372 1959 6 : : : 63372 1959 7 useful useful JJ 63372 1959 8 enough enough RB 63372 1959 9 in in IN 63372 1959 10 common common JJ 63372 1959 11 life life NN 63372 1959 12 , , , 63372 1959 13 but but CC 63372 1959 14 misleading mislead VBG 63372 1959 15 when when WRB 63372 1959 16 we -PRON- PRP 63372 1959 17 try try VBP 63372 1959 18 to to TO 63372 1959 19 look look VB 63372 1959 20 on on IN 63372 1959 21 the the DT 63372 1959 22 universe universe NN 63372 1959 23 as as IN 63372 1959 24 a a DT 63372 1959 25 whole whole JJ 63372 1959 26 , , , 63372 1959 27 free free JJ 63372 1959 28 from from IN 63372 1959 29 the the DT 63372 1959 30 artificial artificial JJ 63372 1959 31 divisions division NNS 63372 1959 32 and and CC 63372 1959 33 landmarks landmark NNS 63372 1959 34 which which WDT 63372 1959 35 we -PRON- PRP 63372 1959 36 introduce introduce VBP 63372 1959 37 into into IN 63372 1959 38 it -PRON- PRP 63372 1959 39 for for IN 63372 1959 40 practical practical JJ 63372 1959 41 convenience convenience NN 63372 1959 42 . . . 63372 1960 1 Hence hence RB 63372 1960 2 it -PRON- PRP 63372 1960 3 is be VBZ 63372 1960 4 perhaps perhaps RB 63372 1960 5 not not RB 63372 1960 6 so so RB 63372 1960 7 surprising surprising JJ 63372 1960 8 after after IN 63372 1960 9 all all PDT 63372 1960 10 that that WDT 63372 1960 11 in in IN 63372 1960 12 certain certain JJ 63372 1960 13 highly highly RB 63372 1960 14 transcendental transcendental JJ 63372 1960 15 investigations investigation NNS 63372 1960 16 , , , 63372 1960 17 these these DT 63372 1960 18 artificial artificial JJ 63372 1960 19 divisions division NNS 63372 1960 20 should should MD 63372 1960 21 cease cease VB 63372 1960 22 to to TO 63372 1960 23 be be VB 63372 1960 24 a a DT 63372 1960 25 convenience convenience NN 63372 1960 26 , , , 63372 1960 27 and and CC 63372 1960 28 become become VB 63372 1960 29 a a DT 63372 1960 30 hindrance hindrance NN 63372 1960 31 . . . 63372 1961 1 Take take VB 63372 1961 2 for for IN 63372 1961 3 instance instance NN 63372 1961 4 our -PRON- PRP$ 63372 1961 5 conception conception NN 63372 1961 6 of of IN 63372 1961 7 time time NN 63372 1961 8 . . . 63372 1962 1 It -PRON- PRP 63372 1962 2 differs differ VBZ 63372 1962 3 from from IN 63372 1962 4 our -PRON- PRP$ 63372 1962 5 conception conception NN 63372 1962 6 of of IN 63372 1962 7 space space NN 63372 1962 8 in in IN 63372 1962 9 that that IN 63372 1962 10 it -PRON- PRP 63372 1962 11 has have VBZ 63372 1962 12 only only RB 63372 1962 13 one one CD 63372 1962 14 dimension dimension NN 63372 1962 15 . . . 63372 1963 1 In in IN 63372 1963 2 space space NN 63372 1963 3 , , , 63372 1963 4 there there EX 63372 1963 5 is be VBZ 63372 1963 6 a a DT 63372 1963 7 right right NN 63372 1963 8 and and CC 63372 1963 9 left leave VBN 63372 1963 10 , , , 63372 1963 11 an an DT 63372 1963 12 up up NN 63372 1963 13 and and CC 63372 1963 14 down down RB 63372 1963 15 , , , 63372 1963 16 a a DT 63372 1963 17 before before NN 63372 1963 18 and and CC 63372 1963 19 after after IN 63372 1963 20 . . . 63372 1964 1 But but CC 63372 1964 2 in in IN 63372 1964 3 time time NN 63372 1964 4 there there EX 63372 1964 5 is be VBZ 63372 1964 6 only only RB 63372 1964 7 before before RB 63372 1964 8 and and CC 63372 1964 9 after after IN 63372 1964 10 . . . 63372 1965 1 Why why WRB 63372 1965 2 should should MD 63372 1965 3 there there EX 63372 1965 4 be be VB 63372 1965 5 this this DT 63372 1965 6 limitation limitation NN 63372 1965 7 of of IN 63372 1965 8 the the DT 63372 1965 9 time time NN 63372 1965 10 - - HYPH 63372 1965 11 factor factor NN 63372 1965 12 ? ? . 63372 1966 1 Merely merely RB 63372 1966 2 because because IN 63372 1966 3 that that DT 63372 1966 4 is be VBZ 63372 1966 5 the the DT 63372 1966 6 verdict verdict NN 63372 1966 7 of of IN 63372 1966 8 all all PDT 63372 1966 9 our -PRON- PRP$ 63372 1966 10 human human JJ 63372 1966 11 experience experience NN 63372 1966 12 . . . 63372 1967 1 But but CC 63372 1967 2 is be VBZ 63372 1967 3 our -PRON- PRP$ 63372 1967 4 human human JJ 63372 1967 5 experience experience NN 63372 1967 6 based base VBN 63372 1967 7 on on IN 63372 1967 8 a a DT 63372 1967 9 sufficiently sufficiently RB 63372 1967 10 broad broad JJ 63372 1967 11 foundation foundation NN 63372 1967 12 to to TO 63372 1967 13 enable enable VB 63372 1967 14 us -PRON- PRP 63372 1967 15 to to TO 63372 1967 16 say say VB 63372 1967 17 that that IN 63372 1967 18 , , , 63372 1967 19 under under IN 63372 1967 20 all all DT 63372 1967 21 conditions condition NNS 63372 1967 22 and and CC 63372 1967 23 in in IN 63372 1967 24 all all DT 63372 1967 25 parts part NNS 63372 1967 26 of of IN 63372 1967 27 the the DT 63372 1967 28 universe universe NN 63372 1967 29 , , , 63372 1967 30 there there EX 63372 1967 31 can can MD 63372 1967 32 be be VB 63372 1967 33 only only RB 63372 1967 34 one one CD 63372 1967 35 time time NN 63372 1967 36 - - HYPH 63372 1967 37 direction direction NN 63372 1967 38 ? ? . 63372 1968 1 May May MD 63372 1968 2 not not RB 63372 1968 3 our -PRON- PRP$ 63372 1968 4 belief belief NN 63372 1968 5 in in IN 63372 1968 6 the the DT 63372 1968 7 uniformity uniformity NN 63372 1968 8 of of IN 63372 1968 9 time time NN 63372 1968 10 be be VB 63372 1968 11 due due IN 63372 1968 12 to to IN 63372 1968 13 the the DT 63372 1968 14 uniformity uniformity NN 63372 1968 15 of of IN 63372 1968 16 the the DT 63372 1968 17 motion motion NN 63372 1968 18 of of IN 63372 1968 19 all all DT 63372 1968 20 observers observer NNS 63372 1968 21 on on IN 63372 1968 22 the the DT 63372 1968 23 earth earth NN 63372 1968 24 ? ? . 63372 1969 1 Such such JJ 63372 1969 2 in in IN 63372 1969 3 fact fact NN 63372 1969 4 is be VBZ 63372 1969 5 the the DT 63372 1969 6 postulate postulate NN 63372 1969 7 of of IN 63372 1969 8 relativity relativity NN 63372 1969 9 . . . 63372 1970 1 We -PRON- PRP 63372 1970 2 now now RB 63372 1970 3 believe believe VBP 63372 1970 4 that that IN 63372 1970 5 , , , 63372 1970 6 at at IN 63372 1970 7 velocities velocity NNS 63372 1970 8 very very RB 63372 1970 9 different different JJ 63372 1970 10 from from IN 63372 1970 11 our -PRON- PRP$ 63372 1970 12 own own JJ 63372 1970 13 , , , 63372 1970 14 the the DT 63372 1970 15 standard standard NN 63372 1970 16 of of IN 63372 1970 17 time time NN 63372 1970 18 would would MD 63372 1970 19 also also RB 63372 1970 20 be be VB 63372 1970 21 different different JJ 63372 1970 22 from from IN 63372 1970 23 ours -PRON- PRP 63372 1970 24 . . . 63372 1971 1 From from IN 63372 1971 2 our -PRON- PRP$ 63372 1971 3 point point NN 63372 1971 4 of of IN 63372 1971 5 view view NN 63372 1971 6 , , , 63372 1971 7 that that IN 63372 1971 8 different different JJ 63372 1971 9 standard standard NN 63372 1971 10 of of IN 63372 1971 11 time time NN 63372 1971 12 would would MD 63372 1971 13 not not RB 63372 1971 14 be be VB 63372 1971 15 confined confine VBN 63372 1971 16 to to IN 63372 1971 17 the the DT 63372 1971 18 single single JJ 63372 1971 19 direction direction NN 63372 1971 20 fore fore NN 63372 1971 21 and and CC 63372 1971 22 aft aft NN 63372 1971 23 , , , 63372 1971 24 as as IN 63372 1971 25 we -PRON- PRP 63372 1971 26 know know VBP 63372 1971 27 it -PRON- PRP 63372 1971 28 , , , 63372 1971 29 but but CC 63372 1971 30 would would MD 63372 1971 31 also also RB 63372 1971 32 have have VB 63372 1971 33 in in IN 63372 1971 34 it -PRON- PRP 63372 1971 35 an an DT 63372 1971 36 element element NN 63372 1971 37 of of IN 63372 1971 38 what what WP 63372 1971 39 we -PRON- PRP 63372 1971 40 might may MD 63372 1971 41 call call VB 63372 1971 42 right right RB 63372 1971 43 and and CC 63372 1971 44 left leave VBD 63372 1971 45 . . . 63372 1972 1 True true JJ 63372 1972 2 , , , 63372 1972 3 it -PRON- PRP 63372 1972 4 would would MD 63372 1972 5 still still RB 63372 1972 6 be be VB 63372 1972 7 of of IN 63372 1972 8 only only RB 63372 1972 9 one one CD 63372 1972 10 dimension dimension NN 63372 1972 11 , , , 63372 1972 12 but but CC 63372 1972 13 its -PRON- PRP$ 63372 1972 14 direction direction NN 63372 1972 15 would would MD 63372 1972 16 differ differ VB 63372 1972 17 from from IN 63372 1972 18 the the DT 63372 1972 19 direction direction NN 63372 1972 20 of of IN 63372 1972 21 our -PRON- PRP$ 63372 1972 22 time time NN 63372 1972 23 . . . 63372 1973 1 It -PRON- PRP 63372 1973 2 would would MD 63372 1973 3 still still RB 63372 1973 4 run run VB 63372 1973 5 like like IN 63372 1973 6 a a DT 63372 1973 7 thread thread NN 63372 1973 8 through through IN 63372 1973 9 the the DT 63372 1973 10 universe universe NN 63372 1973 11 , , , 63372 1973 12 but but CC 63372 1973 13 not not RB 63372 1973 14 in in IN 63372 1973 15 the the DT 63372 1973 16 direction direction NN 63372 1973 17 which which WDT 63372 1973 18 we -PRON- PRP 63372 1973 19 call call VBP 63372 1973 20 straight straight RB 63372 1973 21 forward forward RB 63372 1973 22 . . . 63372 1974 1 It -PRON- PRP 63372 1974 2 would would MD 63372 1974 3 have have VB 63372 1974 4 a a DT 63372 1974 5 slant slant NN 63372 1974 6 in in IN 63372 1974 7 it -PRON- PRP 63372 1974 8 , , , 63372 1974 9 and and CC 63372 1974 10 the the DT 63372 1974 11 angle angle NN 63372 1974 12 of of IN 63372 1974 13 the the DT 63372 1974 14 slant slant NN 63372 1974 15 depends depend VBZ 63372 1974 16 upon upon IN 63372 1974 17 the the DT 63372 1974 18 velocity velocity NN 63372 1974 19 of of IN 63372 1974 20 motion motion NN 63372 1974 21 . . . 63372 1975 1 It -PRON- PRP 63372 1975 2 does do VBZ 63372 1975 3 not not RB 63372 1975 4 follow follow VB 63372 1975 5 that that DT 63372 1975 6 because because IN 63372 1975 7 we -PRON- PRP 63372 1975 8 are be VBP 63372 1975 9 all all DT 63372 1975 10 traveling travel VBG 63372 1975 11 in in IN 63372 1975 12 the the DT 63372 1975 13 same same JJ 63372 1975 14 direction direction NN 63372 1975 15 down down IN 63372 1975 16 the the DT 63372 1975 17 stream stream NN 63372 1975 18 of of IN 63372 1975 19 time time NN 63372 1975 20 , , , 63372 1975 21 therefore therefore RB 63372 1975 22 that that DT 63372 1975 23 stream stream NN 63372 1975 24 can can MD 63372 1975 25 only only RB 63372 1975 26 flow flow VB 63372 1975 27 in in IN 63372 1975 28 the the DT 63372 1975 29 direction direction NN 63372 1975 30 which which WDT 63372 1975 31 we -PRON- PRP 63372 1975 32 know know VBP 63372 1975 33 . . . 63372 1976 1 " " `` 63372 1976 2 Before before IN 63372 1976 3 " " '' 63372 1976 4 and and CC 63372 1976 5 " " `` 63372 1976 6 after after IN 63372 1976 7 " " `` 63372 1976 8 are be VBP 63372 1976 9 expressions expression NNS 63372 1976 10 which which WDT 63372 1976 11 , , , 63372 1976 12 like like IN 63372 1976 13 right right NN 63372 1976 14 and and CC 63372 1976 15 left leave VBD 63372 1976 16 , , , 63372 1976 17 depend depend VB 63372 1976 18 upon upon IN 63372 1976 19 our -PRON- PRP$ 63372 1976 20 personal personal JJ 63372 1976 21 situation situation NN 63372 1976 22 . . . 63372 1977 1 If if IN 63372 1977 2 we -PRON- PRP 63372 1977 3 were be VBD 63372 1977 4 differently differently RB 63372 1977 5 situated situate VBN 63372 1977 6 , , , 63372 1977 7 if if IN 63372 1977 8 to to TO 63372 1977 9 be be VB 63372 1977 10 precise precise JJ 63372 1977 11 we -PRON- PRP 63372 1977 12 were be VBD 63372 1977 13 moving move VBG 63372 1977 14 at at IN 63372 1977 15 very very RB 63372 1977 16 high high JJ 63372 1977 17 velocity velocity NN 63372 1977 18 , , , 63372 1977 19 we -PRON- PRP 63372 1977 20 should should MD 63372 1977 21 , , , 63372 1977 22 so so RB 63372 1977 23 to to TO 63372 1977 24 speak speak VB 63372 1977 25 , , , 63372 1977 26 be be VB 63372 1977 27 facing face VBG 63372 1977 28 in in IN 63372 1977 29 a a DT 63372 1977 30 new new JJ 63372 1977 31 direction direction NN 63372 1977 32 and and CC 63372 1977 33 " " `` 63372 1977 34 before before IN 63372 1977 35 " " '' 63372 1977 36 and and CC 63372 1977 37 " " `` 63372 1977 38 after after IN 63372 1977 39 " " `` 63372 1977 40 would would MD 63372 1977 41 imply imply VB 63372 1977 42 a a DT 63372 1977 43 different different JJ 63372 1977 44 direction direction NN 63372 1977 45 of of IN 63372 1977 46 progress progress NN 63372 1977 47 from from IN 63372 1977 48 that that DT 63372 1977 49 with with IN 63372 1977 50 which which WDT 63372 1977 51 we -PRON- PRP 63372 1977 52 are be VBP 63372 1977 53 now now RB 63372 1977 54 familiar familiar JJ 63372 1977 55 . . . 63372 1978 1 THE the DT 63372 1978 2 WORLD WORLD NNP 63372 1978 3 OF of IN 63372 1978 4 REALITY REALITY NNP 63372 1978 5 But but CC 63372 1978 6 , , , 63372 1978 7 after after RB 63372 1978 8 all all RB 63372 1978 9 , , , 63372 1978 10 the the DT 63372 1978 11 objective objective JJ 63372 1978 12 universe universe NN 63372 1978 13 is be VBZ 63372 1978 14 the the DT 63372 1978 15 same same JJ 63372 1978 16 old old JJ 63372 1978 17 universe universe NN 63372 1978 18 however however RB 63372 1978 19 fast fast RB 63372 1978 20 we -PRON- PRP 63372 1978 21 are be VBP 63372 1978 22 moving move VBG 63372 1978 23 about about IN 63372 1978 24 in in IN 63372 1978 25 it -PRON- PRP 63372 1978 26 , , , 63372 1978 27 and and CC 63372 1978 28 whatever whatever WDT 63372 1978 29 way way NN 63372 1978 30 we -PRON- PRP 63372 1978 31 are be VBP 63372 1978 32 facing face VBG 63372 1978 33 . . . 63372 1979 1 These these DT 63372 1979 2 details detail NNS 63372 1979 3 merely merely RB 63372 1979 4 determine determine VBP 63372 1979 5 the the DT 63372 1979 6 way way NN 63372 1979 7 we -PRON- PRP 63372 1979 8 divide divide VBP 63372 1979 9 it -PRON- PRP 63372 1979 10 up up RP 63372 1979 11 into into IN 63372 1979 12 space space NN 63372 1979 13 and and CC 63372 1979 14 time time NN 63372 1979 15 . . . 63372 1980 1 The the DT 63372 1980 2 universe universe NN 63372 1980 3 is be VBZ 63372 1980 4 not not RB 63372 1980 5 affected affect VBN 63372 1980 6 by by IN 63372 1980 7 any any DT 63372 1980 8 arbitrary arbitrary JJ 63372 1980 9 lines line NNS 63372 1980 10 which which WDT 63372 1980 11 we -PRON- PRP 63372 1980 12 draw draw VBP 63372 1980 13 through through IN 63372 1980 14 it -PRON- PRP 63372 1980 15 for for IN 63372 1980 16 our -PRON- PRP$ 63372 1980 17 personal personal JJ 63372 1980 18 convenience convenience NN 63372 1980 19 . . . 63372 1981 1 For for IN 63372 1981 2 practical practical JJ 63372 1981 3 purposes purpose NNS 63372 1981 4 , , , 63372 1981 5 we -PRON- PRP 63372 1981 6 ascribe ascribe VBP 63372 1981 7 to to IN 63372 1981 8 it -PRON- PRP 63372 1981 9 four four CD 63372 1981 10 dimensions dimension NNS 63372 1981 11 , , , 63372 1981 12 three three CD 63372 1981 13 in in IN 63372 1981 14 space space NN 63372 1981 15 and and CC 63372 1981 16 one one CD 63372 1981 17 in in IN 63372 1981 18 time time NN 63372 1981 19 . . . 63372 1982 1 Clearly clearly RB 63372 1982 2 if if IN 63372 1982 3 the the DT 63372 1982 4 time time NN 63372 1982 5 direction direction NN 63372 1982 6 is be VBZ 63372 1982 7 altered alter VBN 63372 1982 8 , , , 63372 1982 9 all all DT 63372 1982 10 dimensions dimension NNS 63372 1982 11 both both DT 63372 1982 12 of of IN 63372 1982 13 space space NN 63372 1982 14 and and CC 63372 1982 15 time time NN 63372 1982 16 must must MD 63372 1982 17 have have VB 63372 1982 18 different different JJ 63372 1982 19 readings reading NNS 63372 1982 20 . . . 63372 1983 1 If if IN 63372 1983 2 , , , 63372 1983 3 for for IN 63372 1983 4 instance instance NN 63372 1983 5 , , , 63372 1983 6 the the DT 63372 1983 7 time time NN 63372 1983 8 direction direction NN 63372 1983 9 slopes slope NNS 63372 1983 10 away away RB 63372 1983 11 to to IN 63372 1983 12 the the DT 63372 1983 13 left left NN 63372 1983 14 , , , 63372 1983 15 as as IN 63372 1983 16 compared compare VBN 63372 1983 17 with with IN 63372 1983 18 ours -PRON- PRP 63372 1983 19 , , , 63372 1983 20 then then RB 63372 1983 21 space space NN 63372 1983 22 measurements measurement NNS 63372 1983 23 to to IN 63372 1983 24 right right NN 63372 1983 25 and and CC 63372 1983 26 left left JJ 63372 1983 27 must must MD 63372 1983 28 be be VB 63372 1983 29 correspondingly correspondingly RB 63372 1983 30 altered alter VBN 63372 1983 31 . . . 63372 1984 1 An an DT 63372 1984 2 analogy analogy NN 63372 1984 3 will will MD 63372 1984 4 simplify simplify VB 63372 1984 5 the the DT 63372 1984 6 matter matter NN 63372 1984 7 . . . 63372 1985 1 Suppose suppose VB 63372 1985 2 we -PRON- PRP 63372 1985 3 desire desire VBP 63372 1985 4 to to TO 63372 1985 5 reach reach VB 63372 1985 6 a a DT 63372 1985 7 point point NN 63372 1985 8 ten ten CD 63372 1985 9 miles mile NNS 63372 1985 10 off off RB 63372 1985 11 in in IN 63372 1985 12 a a DT 63372 1985 13 roughly roughly RB 63372 1985 14 northeasterly northeasterly JJ 63372 1985 15 direction direction NN 63372 1985 16 . . . 63372 1986 1 We -PRON- PRP 63372 1986 2 might may MD 63372 1986 3 do do VB 63372 1986 4 so so RB 63372 1986 5 by by IN 63372 1986 6 walking walk VBG 63372 1986 7 six six CD 63372 1986 8 miles mile NNS 63372 1986 9 due due JJ 63372 1986 10 east east NN 63372 1986 11 and and CC 63372 1986 12 then then RB 63372 1986 13 eight eight CD 63372 1986 14 miles mile NNS 63372 1986 15 due due JJ 63372 1986 16 north north RB 63372 1986 17 . . . 63372 1987 1 We -PRON- PRP 63372 1987 2 should should MD 63372 1987 3 then then RB 63372 1987 4 be be VB 63372 1987 5 precisely precisely RB 63372 1987 6 ten ten CD 63372 1987 7 miles mile NNS 63372 1987 8 from from IN 63372 1987 9 where where WRB 63372 1987 10 we -PRON- PRP 63372 1987 11 started start VBD 63372 1987 12 . . . 63372 1988 1 But but CC 63372 1988 2 suppose suppose VB 63372 1988 3 our -PRON- PRP$ 63372 1988 4 compass compass NN 63372 1988 5 were be VBD 63372 1988 6 out out IN 63372 1988 7 of of IN 63372 1988 8 order order NN 63372 1988 9 , , , 63372 1988 10 so so IN 63372 1988 11 that that IN 63372 1988 12 its -PRON- PRP$ 63372 1988 13 north north NNP 63372 1988 14 pole pole NN 63372 1988 15 pointed point VBD 63372 1988 16 somewhat somewhat RB 63372 1988 17 to to IN 63372 1988 18 the the DT 63372 1988 19 west west NN 63372 1988 20 of of IN 63372 1988 21 north north NNP 63372 1988 22 . . . 63372 1989 1 Then then RB 63372 1989 2 in in IN 63372 1989 3 order order NN 63372 1989 4 to to TO 63372 1989 5 get get VB 63372 1989 6 to to IN 63372 1989 7 our -PRON- PRP$ 63372 1989 8 destination destination NN 63372 1989 9 , , , 63372 1989 10 we -PRON- PRP 63372 1989 11 might may MD 63372 1989 12 have have VB 63372 1989 13 to to TO 63372 1989 14 walk walk VB 63372 1989 15 seven seven CD 63372 1989 16 miles mile NNS 63372 1989 17 in in IN 63372 1989 18 the the DT 63372 1989 19 direction direction NN 63372 1989 20 which which WDT 63372 1989 21 we -PRON- PRP 63372 1989 22 thought think VBD 63372 1989 23 was be VBD 63372 1989 24 east east NN 63372 1989 25 , , , 63372 1989 26 and and CC 63372 1989 27 a a DT 63372 1989 28 little little JJ 63372 1989 29 more more JJR 63372 1989 30 than than IN 63372 1989 31 seven seven CD 63372 1989 32 miles mile NNS 63372 1989 33 in in IN 63372 1989 34 the the DT 63372 1989 35 direction direction NN 63372 1989 36 which which WDT 63372 1989 37 we -PRON- PRP 63372 1989 38 thought think VBD 63372 1989 39 was be VBD 63372 1989 40 north north JJ 63372 1989 41 . . . 63372 1990 1 We -PRON- PRP 63372 1990 2 should should MD 63372 1990 3 then then RB 63372 1990 4 reach reach VB 63372 1990 5 the the DT 63372 1990 6 same same JJ 63372 1990 7 point point NN 63372 1990 8 as as IN 63372 1990 9 before before RB 63372 1990 10 . . . 63372 1991 1 Both both DT 63372 1991 2 observers observer NNS 63372 1991 3 have have VBP 63372 1991 4 walked walk VBN 63372 1991 5 according accord VBG 63372 1991 6 to to IN 63372 1991 7 their -PRON- PRP$ 63372 1991 8 lights light NNS 63372 1991 9 , , , 63372 1991 10 first first RB 63372 1991 11 due due JJ 63372 1991 12 east east NN 63372 1991 13 and and CC 63372 1991 14 then then RB 63372 1991 15 due due JJ 63372 1991 16 north north NN 63372 1991 17 , , , 63372 1991 18 and and CC 63372 1991 19 both both DT 63372 1991 20 have have VBP 63372 1991 21 reached reach VBN 63372 1991 22 the the DT 63372 1991 23 same same JJ 63372 1991 24 point point NN 63372 1991 25 : : : 63372 1991 26 the the DT 63372 1991 27 one one CD 63372 1991 28 observer observer NN 63372 1991 29 is be VBZ 63372 1991 30 certain certain JJ 63372 1991 31 that that IN 63372 1991 32 the the DT 63372 1991 33 finishing finishing JJ 63372 1991 34 point point NN 63372 1991 35 is be VBZ 63372 1991 36 six six CD 63372 1991 37 miles mile NNS 63372 1991 38 east east RB 63372 1991 39 of of IN 63372 1991 40 the the DT 63372 1991 41 starting starting NN 63372 1991 42 - - HYPH 63372 1991 43 point point NN 63372 1991 44 , , , 63372 1991 45 while while IN 63372 1991 46 the the DT 63372 1991 47 other other JJ 63372 1991 48 is be VBZ 63372 1991 49 sure sure JJ 63372 1991 50 it -PRON- PRP 63372 1991 51 is be VBZ 63372 1991 52 seven seven CD 63372 1991 53 miles mile NNS 63372 1991 54 . . . 63372 1992 1 Now now RB 63372 1992 2 we -PRON- PRP 63372 1992 3 on on IN 63372 1992 4 the the DT 63372 1992 5 earth earth NN 63372 1992 6 are be VBP 63372 1992 7 all all DT 63372 1992 8 using use VBG 63372 1992 9 a a DT 63372 1992 10 compass compass NN 63372 1992 11 which which WDT 63372 1992 12 points point VBZ 63372 1992 13 in in IN 63372 1992 14 the the DT 63372 1992 15 same same JJ 63372 1992 16 direction direction NN 63372 1992 17 as as IN 63372 1992 18 regards regard VBZ 63372 1992 19 time time NN 63372 1992 20 . . . 63372 1993 1 But but CC 63372 1993 2 other other JJ 63372 1993 3 observers observer NNS 63372 1993 4 , , , 63372 1993 5 on on IN 63372 1993 6 bodies body NNS 63372 1993 7 moving move VBG 63372 1993 8 with with IN 63372 1993 9 very very RB 63372 1993 10 different different JJ 63372 1993 11 velocity velocity NN 63372 1993 12 , , , 63372 1993 13 have have VBP 63372 1993 14 a a DT 63372 1993 15 compass compass NN 63372 1993 16 in in IN 63372 1993 17 which which WDT 63372 1993 18 the the DT 63372 1993 19 time time NN 63372 1993 20 - - HYPH 63372 1993 21 direction direction NN 63372 1993 22 is be VBZ 63372 1993 23 displaced displace VBN 63372 1993 24 as as IN 63372 1993 25 compared compare VBN 63372 1993 26 with with IN 63372 1993 27 ours -PRON- PRP 63372 1993 28 . . . 63372 1994 1 Hence hence RB 63372 1994 2 our -PRON- PRP$ 63372 1994 3 judgments judgment NNS 63372 1994 4 of of IN 63372 1994 5 distances distance NNS 63372 1994 6 will will MD 63372 1994 7 not not RB 63372 1994 8 be be VB 63372 1994 9 alike alike RB 63372 1994 10 . . . 63372 1995 1 In in IN 63372 1995 2 our -PRON- PRP$ 63372 1995 3 analogy analogy NN 63372 1995 4 , , , 63372 1995 5 the the DT 63372 1995 6 northerly northerly JJ 63372 1995 7 direction direction NN 63372 1995 8 corresponds correspond NNS 63372 1995 9 to to IN 63372 1995 10 time time NN 63372 1995 11 , , , 63372 1995 12 and and CC 63372 1995 13 the the DT 63372 1995 14 easterly easterly JJ 63372 1995 15 direction direction NN 63372 1995 16 to to IN 63372 1995 17 space space NN 63372 1995 18 ; ; : 63372 1995 19 and and CC 63372 1995 20 so so RB 63372 1995 21 long long RB 63372 1995 22 as as IN 63372 1995 23 we -PRON- PRP 63372 1995 24 use use VBP 63372 1995 25 the the DT 63372 1995 26 same same JJ 63372 1995 27 compass compass NN 63372 1995 28 we -PRON- PRP 63372 1995 29 do do VBP 63372 1995 30 not not RB 63372 1995 31 differ differ VB 63372 1995 32 in in IN 63372 1995 33 our -PRON- PRP$ 63372 1995 34 measurements measurement NNS 63372 1995 35 of of IN 63372 1995 36 distances distance NNS 63372 1995 37 . . . 63372 1996 1 But but CC 63372 1996 2 for for IN 63372 1996 3 any any DT 63372 1996 4 one one NN 63372 1996 5 who who WP 63372 1996 6 has have VBZ 63372 1996 7 a a DT 63372 1996 8 different different JJ 63372 1996 9 notion notion NN 63372 1996 10 of of IN 63372 1996 11 the the DT 63372 1996 12 time time NN 63372 1996 13 - - HYPH 63372 1996 14 direction direction NN 63372 1996 15 , , , 63372 1996 16 not not RB 63372 1996 17 only only RB 63372 1996 18 time time NN 63372 1996 19 intervals interval NNS 63372 1996 20 but but CC 63372 1996 21 space space NN 63372 1996 22 distances distance NNS 63372 1996 23 will will MD 63372 1996 24 be be VB 63372 1996 25 judged judge VBN 63372 1996 26 differently differently RB 63372 1996 27 . . . 63372 1997 1 In in IN 63372 1997 2 short short JJ 63372 1997 3 , , , 63372 1997 4 the the DT 63372 1997 5 universe universe NN 63372 1997 6 is be VBZ 63372 1997 7 regarded regard VBN 63372 1997 8 as as IN 63372 1997 9 a a DT 63372 1997 10 space space NN 63372 1997 11 - - HYPH 63372 1997 12 time time NN 63372 1997 13 continuum continuum NN 63372 1997 14 of of IN 63372 1997 15 four four CD 63372 1997 16 dimensions dimension NNS 63372 1997 17 . . . 63372 1998 1 A a DT 63372 1998 2 " " `` 63372 1998 3 point point NN 63372 1998 4 " " '' 63372 1998 5 in in IN 63372 1998 6 space space NN 63372 1998 7 - - HYPH 63372 1998 8 time time NN 63372 1998 9 is be VBZ 63372 1998 10 called call VBN 63372 1998 11 an an DT 63372 1998 12 " " `` 63372 1998 13 event"--that event"--that WDT 63372 1998 14 which which WDT 63372 1998 15 occurs occur VBZ 63372 1998 16 at at IN 63372 1998 17 a a DT 63372 1998 18 specified specified JJ 63372 1998 19 moment moment NN 63372 1998 20 and and CC 63372 1998 21 at at IN 63372 1998 22 a a DT 63372 1998 23 specified specified JJ 63372 1998 24 place place NN 63372 1998 25 . . . 63372 1999 1 The the DT 63372 1999 2 distance distance NN 63372 1999 3 between between IN 63372 1999 4 two two CD 63372 1999 5 points point NNS 63372 1999 6 in in IN 63372 1999 7 space space NN 63372 1999 8 - - HYPH 63372 1999 9 time time NN 63372 1999 10 is be VBZ 63372 1999 11 called call VBN 63372 1999 12 their -PRON- PRP$ 63372 1999 13 " " `` 63372 1999 14 interval interval NN 63372 1999 15 . . . 63372 1999 16 " " '' 63372 2000 1 All all DT 63372 2000 2 observers observer NNS 63372 2000 3 will will MD 63372 2000 4 agree agree VB 63372 2000 5 as as IN 63372 2000 6 to to IN 63372 2000 7 the the DT 63372 2000 8 magnitude magnitude NN 63372 2000 9 of of IN 63372 2000 10 any any DT 63372 2000 11 interval interval NN 63372 2000 12 , , , 63372 2000 13 since since IN 63372 2000 14 it -PRON- PRP 63372 2000 15 is be VBZ 63372 2000 16 a a DT 63372 2000 17 property property NN 63372 2000 18 of of IN 63372 2000 19 the the DT 63372 2000 20 objective objective JJ 63372 2000 21 universe universe NN 63372 2000 22 ; ; , 63372 2000 23 but but CC 63372 2000 24 they -PRON- PRP 63372 2000 25 will will MD 63372 2000 26 disagree disagree VB 63372 2000 27 as as IN 63372 2000 28 to to IN 63372 2000 29 its -PRON- PRP$ 63372 2000 30 composition composition NN 63372 2000 31 in in IN 63372 2000 32 space space NN 63372 2000 33 and and CC 63372 2000 34 time time NN 63372 2000 35 separately separately RB 63372 2000 36 . . . 63372 2001 1 In in IN 63372 2001 2 short short JJ 63372 2001 3 , , , 63372 2001 4 space space NN 63372 2001 5 and and CC 63372 2001 6 time time NN 63372 2001 7 are be VBP 63372 2001 8 relative relative JJ 63372 2001 9 conceptions conception NNS 63372 2001 10 ; ; : 63372 2001 11 their -PRON- PRP$ 63372 2001 12 relativity relativity NN 63372 2001 13 is be VBZ 63372 2001 14 a a DT 63372 2001 15 necessary necessary JJ 63372 2001 16 consequence consequence NN 63372 2001 17 of of IN 63372 2001 18 the the DT 63372 2001 19 relativity relativity NN 63372 2001 20 of of IN 63372 2001 21 motion motion NN 63372 2001 22 . . . 63372 2002 1 The the DT 63372 2002 2 paradox paradox NN 63372 2002 3 named name VBN 63372 2002 4 at at IN 63372 2002 5 the the DT 63372 2002 6 outset outset NN 63372 2002 7 is be VBZ 63372 2002 8 overcome overcome VBN 63372 2002 9 ; ; : 63372 2002 10 for for IN 63372 2002 11 the the DT 63372 2002 12 two two CD 63372 2002 13 observers observer NNS 63372 2002 14 measuring measure VBG 63372 2002 15 the the DT 63372 2002 16 velocity velocity NN 63372 2002 17 of of IN 63372 2002 18 the the DT 63372 2002 19 light light NN 63372 2002 20 produced produce VBN 63372 2002 21 as as IN 63372 2002 22 they -PRON- PRP 63372 2002 23 passed pass VBD 63372 2002 24 one one CD 63372 2002 25 another another DT 63372 2002 26 , , , 63372 2002 27 were be VBD 63372 2002 28 using use VBG 63372 2002 29 different different JJ 63372 2002 30 units unit NNS 63372 2002 31 of of IN 63372 2002 32 space space NN 63372 2002 33 and and CC 63372 2002 34 time time NN 63372 2002 35 . . . 63372 2003 1 And and CC 63372 2003 2 hence hence RB 63372 2003 3 emerges emerge VBZ 63372 2003 4 triumphant triumphant JJ 63372 2003 5 the the DT 63372 2003 6 Special Special NNP 63372 2003 7 Principle Principle NNP 63372 2003 8 of of IN 63372 2003 9 Relativity Relativity NNP 63372 2003 10 , , , 63372 2003 11 which which WDT 63372 2003 12 states state VBZ 63372 2003 13 that that IN 63372 2003 14 the the DT 63372 2003 15 laws law NNS 63372 2003 16 of of IN 63372 2003 17 nature nature NN 63372 2003 18 are be VBP 63372 2003 19 the the DT 63372 2003 20 same same JJ 63372 2003 21 for for IN 63372 2003 22 all all DT 63372 2003 23 observers observer NNS 63372 2003 24 , , , 63372 2003 25 whether whether IN 63372 2003 26 they -PRON- PRP 63372 2003 27 are be VBP 63372 2003 28 in in IN 63372 2003 29 a a DT 63372 2003 30 state state NN 63372 2003 31 of of IN 63372 2003 32 rest rest NN 63372 2003 33 or or CC 63372 2003 34 of of IN 63372 2003 35 uniform uniform JJ 63372 2003 36 motion motion NN 63372 2003 37 in in IN 63372 2003 38 a a DT 63372 2003 39 straight straight JJ 63372 2003 40 line line NN 63372 2003 41 . . . 63372 2004 1 ACCELERATED accelerate VBD 63372 2004 2 MOTION MOTION NNP 63372 2004 3 Uniform Uniform NNP 63372 2004 4 motion motion NN 63372 2004 5 in in IN 63372 2004 6 a a DT 63372 2004 7 straight straight JJ 63372 2004 8 line line NN 63372 2004 9 is be VBZ 63372 2004 10 however however RB 63372 2004 11 a a DT 63372 2004 12 very very RB 63372 2004 13 special special JJ 63372 2004 14 kind kind NN 63372 2004 15 of of IN 63372 2004 16 motion motion NN 63372 2004 17 . . . 63372 2005 1 Our -PRON- PRP$ 63372 2005 2 experience experience NN 63372 2005 3 in in IN 63372 2005 4 ordinary ordinary JJ 63372 2005 5 life life NN 63372 2005 6 is be VBZ 63372 2005 7 of of IN 63372 2005 8 motions motion NNS 63372 2005 9 that that WDT 63372 2005 10 are be VBP 63372 2005 11 neither neither DT 63372 2005 12 uniform uniform JJ 63372 2005 13 nor nor CC 63372 2005 14 in in IN 63372 2005 15 a a DT 63372 2005 16 straight straight JJ 63372 2005 17 line line NN 63372 2005 18 ; ; : 63372 2005 19 both both DT 63372 2005 20 speed speed NN 63372 2005 21 and and CC 63372 2005 22 direction direction NN 63372 2005 23 of of IN 63372 2005 24 motion motion NN 63372 2005 25 are be VBP 63372 2005 26 altering alter VBG 63372 2005 27 . . . 63372 2006 1 The the DT 63372 2006 2 moving move VBG 63372 2006 3 body body NN 63372 2006 4 is be VBZ 63372 2006 5 then then RB 63372 2006 6 said say VBN 63372 2006 7 to to TO 63372 2006 8 undergo undergo VB 63372 2006 9 " " `` 63372 2006 10 acceleration acceleration NN 63372 2006 11 " " '' 63372 2006 12 : : : 63372 2006 13 which which WDT 63372 2006 14 means mean VBZ 63372 2006 15 either either CC 63372 2006 16 that that IN 63372 2006 17 its -PRON- PRP$ 63372 2006 18 speed speed NN 63372 2006 19 is be VBZ 63372 2006 20 increasing increase VBG 63372 2006 21 or or CC 63372 2006 22 diminishing diminish VBG 63372 2006 23 , , , 63372 2006 24 or or CC 63372 2006 25 that that IN 63372 2006 26 its -PRON- PRP$ 63372 2006 27 direction direction NN 63372 2006 28 of of IN 63372 2006 29 motion motion NN 63372 2006 30 is be VBZ 63372 2006 31 changing change VBG 63372 2006 32 , , , 63372 2006 33 or or CC 63372 2006 34 both both DT 63372 2006 35 . . . 63372 2007 1 If if IN 63372 2007 2 we -PRON- PRP 63372 2007 3 revert revert VBP 63372 2007 4 to to IN 63372 2007 5 our -PRON- PRP$ 63372 2007 6 former former JJ 63372 2007 7 supposition supposition NN 63372 2007 8 of of IN 63372 2007 9 a a DT 63372 2007 10 universe universe NN 63372 2007 11 in in IN 63372 2007 12 which which WDT 63372 2007 13 there there EX 63372 2007 14 is be VBZ 63372 2007 15 only only RB 63372 2007 16 a a DT 63372 2007 17 single single JJ 63372 2007 18 body body NN 63372 2007 19 in in IN 63372 2007 20 " " `` 63372 2007 21 empty empty JJ 63372 2007 22 " " '' 63372 2007 23 space space NN 63372 2007 24 , , , 63372 2007 25 we -PRON- PRP 63372 2007 26 clearly clearly RB 63372 2007 27 can can MD 63372 2007 28 not not RB 63372 2007 29 say say VB 63372 2007 30 whether whether IN 63372 2007 31 it -PRON- PRP 63372 2007 32 has have VBZ 63372 2007 33 acceleration acceleration NN 63372 2007 34 any any DT 63372 2007 35 more more RBR 63372 2007 36 than than IN 63372 2007 37 whether whether IN 63372 2007 38 it -PRON- PRP 63372 2007 39 is be VBZ 63372 2007 40 moving move VBG 63372 2007 41 , , , 63372 2007 42 there there EX 63372 2007 43 being be VBG 63372 2007 44 no no DT 63372 2007 45 outside outside JJ 63372 2007 46 standard standard NN 63372 2007 47 of of IN 63372 2007 48 comparison comparison NN 63372 2007 49 ; ; : 63372 2007 50 and and CC 63372 2007 51 the the DT 63372 2007 52 General General NNP 63372 2007 53 Principle Principle NNP 63372 2007 54 of of IN 63372 2007 55 Relativity Relativity NNP 63372 2007 56 asserts assert VBZ 63372 2007 57 the the DT 63372 2007 58 invariance invariance NN 63372 2007 59 of of IN 63372 2007 60 the the DT 63372 2007 61 laws law NNS 63372 2007 62 of of IN 63372 2007 63 nature nature NN 63372 2007 64 for for IN 63372 2007 65 all all DT 63372 2007 66 states state NNS 63372 2007 67 of of IN 63372 2007 68 motion motion NN 63372 2007 69 of of IN 63372 2007 70 the the DT 63372 2007 71 observer observer NN 63372 2007 72 . . . 63372 2008 1 In in IN 63372 2008 2 this this DT 63372 2008 3 case case NN 63372 2008 4 , , , 63372 2008 5 however however RB 63372 2008 6 , , , 63372 2008 7 a a DT 63372 2008 8 difference difference NN 63372 2008 9 might may MD 63372 2008 10 be be VB 63372 2008 11 detected detect VBN 63372 2008 12 by by IN 63372 2008 13 an an DT 63372 2008 14 observer observer NN 63372 2008 15 on on IN 63372 2008 16 the the DT 63372 2008 17 moving move VBG 63372 2008 18 body body NN 63372 2008 19 itself -PRON- PRP 63372 2008 20 . . . 63372 2009 1 It -PRON- PRP 63372 2009 2 would would MD 63372 2009 3 be be VB 63372 2009 4 manifested manifest VBN 63372 2009 5 to to IN 63372 2009 6 him -PRON- PRP 63372 2009 7 as as IN 63372 2009 8 the the DT 63372 2009 9 action action NN 63372 2009 10 of of IN 63372 2009 11 a a DT 63372 2009 12 force force NN 63372 2009 13 ; ; : 63372 2009 14 such such JJ 63372 2009 15 for for IN 63372 2009 16 instance instance NN 63372 2009 17 as as IN 63372 2009 18 we -PRON- PRP 63372 2009 19 feel feel VBP 63372 2009 20 when when WRB 63372 2009 21 a a DT 63372 2009 22 train train NN 63372 2009 23 in in IN 63372 2009 24 which which WDT 63372 2009 25 we -PRON- PRP 63372 2009 26 are be VBP 63372 2009 27 traveling travel VBG 63372 2009 28 is be VBZ 63372 2009 29 increasing increase VBG 63372 2009 30 or or CC 63372 2009 31 reducing reduce VBG 63372 2009 32 speed speed NN 63372 2009 33 , , , 63372 2009 34 or or CC 63372 2009 35 when when WRB 63372 2009 36 , , , 63372 2009 37 without without IN 63372 2009 38 changing change VBG 63372 2009 39 speed speed NN 63372 2009 40 , , , 63372 2009 41 it -PRON- PRP 63372 2009 42 is be VBZ 63372 2009 43 rounding round VBG 63372 2009 44 a a DT 63372 2009 45 corner corner NN 63372 2009 46 . . . 63372 2010 1 The the DT 63372 2010 2 force force NN 63372 2010 3 dies die VBZ 63372 2010 4 away away RB 63372 2010 5 as as RB 63372 2010 6 soon soon RB 63372 2010 7 as as IN 63372 2010 8 the the DT 63372 2010 9 velocity velocity NN 63372 2010 10 becomes become VBZ 63372 2010 11 uniform uniform JJ 63372 2010 12 . . . 63372 2011 1 Thus thus RB 63372 2011 2 acceleration acceleration NN 63372 2011 3 reveals reveal VBZ 63372 2011 4 itself -PRON- PRP 63372 2011 5 to to IN 63372 2011 6 us -PRON- PRP 63372 2011 7 under under IN 63372 2011 8 the the DT 63372 2011 9 guise guise NN 63372 2011 10 of of IN 63372 2011 11 action action NN 63372 2011 12 by by IN 63372 2011 13 a a DT 63372 2011 14 force force NN 63372 2011 15 . . . 63372 2012 1 Force force NN 63372 2012 2 and and CC 63372 2012 3 acceleration acceleration NN 63372 2012 4 go go VBP 63372 2012 5 together together RB 63372 2012 6 , , , 63372 2012 7 and and CC 63372 2012 8 we -PRON- PRP 63372 2012 9 may may MD 63372 2012 10 either either RB 63372 2012 11 say say VB 63372 2012 12 that that IN 63372 2012 13 the the DT 63372 2012 14 acceleration acceleration NN 63372 2012 15 is be VBZ 63372 2012 16 due due JJ 63372 2012 17 to to IN 63372 2012 18 the the DT 63372 2012 19 force force NN 63372 2012 20 , , , 63372 2012 21 or or CC 63372 2012 22 the the DT 63372 2012 23 impression impression NN 63372 2012 24 of of IN 63372 2012 25 force force NN 63372 2012 26 to to IN 63372 2012 27 the the DT 63372 2012 28 acceleration acceleration NN 63372 2012 29 . . . 63372 2013 1 Now now RB 63372 2013 2 when when WRB 63372 2013 3 we -PRON- PRP 63372 2013 4 are be VBP 63372 2013 5 traveling travel VBG 63372 2013 6 with with IN 63372 2013 7 accelerated accelerated JJ 63372 2013 8 motion motion NN 63372 2013 9 , , , 63372 2013 10 we -PRON- PRP 63372 2013 11 have have VBP 63372 2013 12 quite quite PDT 63372 2013 13 a a DT 63372 2013 14 different different JJ 63372 2013 15 idea idea NN 63372 2013 16 of of IN 63372 2013 17 what what WP 63372 2013 18 constitutes constitute VBZ 63372 2013 19 a a DT 63372 2013 20 straight straight JJ 63372 2013 21 line line NN 63372 2013 22 from from IN 63372 2013 23 that that DT 63372 2013 24 which which WDT 63372 2013 25 we -PRON- PRP 63372 2013 26 had have VBD 63372 2013 27 when when WRB 63372 2013 28 at at IN 63372 2013 29 rest rest NN 63372 2013 30 or or CC 63372 2013 31 in in IN 63372 2013 32 uniform uniform JJ 63372 2013 33 motion motion NN 63372 2013 34 . . . 63372 2014 1 If if IN 63372 2014 2 we -PRON- PRP 63372 2014 3 are be VBP 63372 2014 4 moving move VBG 63372 2014 5 at at IN 63372 2014 6 uniform uniform JJ 63372 2014 7 velocity velocity NN 63372 2014 8 in in IN 63372 2014 9 an an DT 63372 2014 10 airplane airplane NN 63372 2014 11 and and CC 63372 2014 12 drop drop VB 63372 2014 13 a a DT 63372 2014 14 stone stone NN 63372 2014 15 to to IN 63372 2014 16 the the DT 63372 2014 17 earth earth NN 63372 2014 18 it -PRON- PRP 63372 2014 19 will will MD 63372 2014 20 appear appear VB 63372 2014 21 to to IN 63372 2014 22 us -PRON- PRP 63372 2014 23 in in IN 63372 2014 24 the the DT 63372 2014 25 airplane airplane NN 63372 2014 26 to to TO 63372 2014 27 fall fall VB 63372 2014 28 in in IN 63372 2014 29 a a DT 63372 2014 30 straight straight JJ 63372 2014 31 line line NN 63372 2014 32 downward downward RB 63372 2014 33 , , , 63372 2014 34 while while IN 63372 2014 35 to to IN 63372 2014 36 an an DT 63372 2014 37 observer observer NN 63372 2014 38 on on IN 63372 2014 39 the the DT 63372 2014 40 earth earth NN 63372 2014 41 it -PRON- PRP 63372 2014 42 will will MD 63372 2014 43 appear appear VB 63372 2014 44 to to TO 63372 2014 45 describe describe VB 63372 2014 46 a a DT 63372 2014 47 parabola parabola NN 63372 2014 48 . . . 63372 2015 1 This this DT 63372 2015 2 is be VBZ 63372 2015 3 due due JJ 63372 2015 4 to to IN 63372 2015 5 the the DT 63372 2015 6 fact fact NN 63372 2015 7 that that IN 63372 2015 8 the the DT 63372 2015 9 stone stone NN 63372 2015 10 gathers gather NNS 63372 2015 11 speed speed NN 63372 2015 12 as as IN 63372 2015 13 it -PRON- PRP 63372 2015 14 falls fall VBZ 63372 2015 15 ; ; : 63372 2015 16 it -PRON- PRP 63372 2015 17 is be VBZ 63372 2015 18 subject subject JJ 63372 2015 19 to to IN 63372 2015 20 the the DT 63372 2015 21 acceleration acceleration NN 63372 2015 22 associated associate VBN 63372 2015 23 with with IN 63372 2015 24 gravity gravity NN 63372 2015 25 . . . 63372 2016 1 Acceleration acceleration NN 63372 2016 2 obliterates obliterate VBZ 63372 2016 3 the the DT 63372 2016 4 fundamental fundamental JJ 63372 2016 5 difference difference NN 63372 2016 6 between between IN 63372 2016 7 a a DT 63372 2016 8 straight straight JJ 63372 2016 9 and and CC 63372 2016 10 curved curved JJ 63372 2016 11 line line NN 63372 2016 12 . . . 63372 2017 1 Unless unless IN 63372 2017 2 we -PRON- PRP 63372 2017 3 know know VBP 63372 2017 4 what what WP 63372 2017 5 is be VBZ 63372 2017 6 the the DT 63372 2017 7 absolute absolute JJ 63372 2017 8 motion motion NN 63372 2017 9 of of IN 63372 2017 10 the the DT 63372 2017 11 stone stone NN 63372 2017 12 , , , 63372 2017 13 and and CC 63372 2017 14 the the DT 63372 2017 15 two two CD 63372 2017 16 observers observer NNS 63372 2017 17 , , , 63372 2017 18 we -PRON- PRP 63372 2017 19 can can MD 63372 2017 20 not not RB 63372 2017 21 say say VB 63372 2017 22 whether whether IN 63372 2017 23 the the DT 63372 2017 24 line line NN 63372 2017 25 is be VBZ 63372 2017 26 " " `` 63372 2017 27 really really RB 63372 2017 28 " " `` 63372 2017 29 a a DT 63372 2017 30 straight straight NN 63372 2017 31 or or CC 63372 2017 32 a a DT 63372 2017 33 curved curved JJ 63372 2017 34 line line NN 63372 2017 35 . . . 63372 2018 1 Since since IN 63372 2018 2 absolute absolute JJ 63372 2018 3 motion motion NN 63372 2018 4 is be VBZ 63372 2018 5 an an DT 63372 2018 6 illegitimate illegitimate JJ 63372 2018 7 conception conception NN 63372 2018 8 , , , 63372 2018 9 it -PRON- PRP 63372 2018 10 follows follow VBZ 63372 2018 11 that that IN 63372 2018 12 there there EX 63372 2018 13 is be VBZ 63372 2018 14 no no DT 63372 2018 15 such such JJ 63372 2018 16 thing thing NN 63372 2018 17 as as IN 63372 2018 18 " " `` 63372 2018 19 really really RB 63372 2018 20 " " `` 63372 2018 21 straight straight JJ 63372 2018 22 or or CC 63372 2018 23 " " `` 63372 2018 24 really really RB 63372 2018 25 " " '' 63372 2018 26 curved curved JJ 63372 2018 27 . . . 63372 2019 1 These these DT 63372 2019 2 are be VBP 63372 2019 3 only only RB 63372 2019 4 appearances appearance NNS 63372 2019 5 set set VBN 63372 2019 6 up up RP 63372 2019 7 as as IN 63372 2019 8 a a DT 63372 2019 9 consequence consequence NN 63372 2019 10 of of IN 63372 2019 11 our -PRON- PRP$ 63372 2019 12 relative relative JJ 63372 2019 13 motions motion NNS 63372 2019 14 with with IN 63372 2019 15 respect respect NN 63372 2019 16 to to IN 63372 2019 17 the the DT 63372 2019 18 bodies body NNS 63372 2019 19 concerned concern VBN 63372 2019 20 . . . 63372 2020 1 If if IN 63372 2020 2 there there EX 63372 2020 3 were be VBD 63372 2020 4 no no DT 63372 2020 5 such such JJ 63372 2020 6 thing thing NN 63372 2020 7 as as IN 63372 2020 8 acceleration acceleration NN 63372 2020 9 -- -- : 63372 2020 10 if if IN 63372 2020 11 the the DT 63372 2020 12 stone stone NN 63372 2020 13 fell fall VBD 63372 2020 14 to to IN 63372 2020 15 the the DT 63372 2020 16 earth earth NN 63372 2020 17 at at IN 63372 2020 18 uniform uniform JJ 63372 2020 19 velocity velocity NN 63372 2020 20 -- -- : 63372 2020 21 then then RB 63372 2020 22 an an DT 63372 2020 23 observer observer NN 63372 2020 24 on on IN 63372 2020 25 the the DT 63372 2020 26 earth earth NN 63372 2020 27 or or CC 63372 2020 28 anywhere anywhere RB 63372 2020 29 else else RB 63372 2020 30 would would MD 63372 2020 31 agree agree VB 63372 2020 32 that that IN 63372 2020 33 it -PRON- PRP 63372 2020 34 fell fall VBD 63372 2020 35 in in IN 63372 2020 36 a a DT 63372 2020 37 straight straight JJ 63372 2020 38 line line NN 63372 2020 39 ; ; , 63372 2020 40 and and CC 63372 2020 41 straight straight JJ 63372 2020 42 lines line NNS 63372 2020 43 would would MD 63372 2020 44 always always RB 63372 2020 45 be be VB 63372 2020 46 straight straight JJ 63372 2020 47 lines line NNS 63372 2020 48 . . . 63372 2021 1 Under under IN 63372 2021 2 these these DT 63372 2021 3 circumstances circumstance NNS 63372 2021 4 , , , 63372 2021 5 Euclidean euclidean JJ 63372 2021 6 geometry geometry NN 63372 2021 7 would would MD 63372 2021 8 be be VB 63372 2021 9 absolutely absolutely RB 63372 2021 10 true true JJ 63372 2021 11 . . . 63372 2022 1 But but CC 63372 2022 2 if if IN 63372 2022 3 we -PRON- PRP 63372 2022 4 are be VBP 63372 2022 5 in in IN 63372 2022 6 a a DT 63372 2022 7 state state NN 63372 2022 8 of of IN 63372 2022 9 acceleration acceleration NN 63372 2022 10 , , , 63372 2022 11 then then RB 63372 2022 12 what what WP 63372 2022 13 we -PRON- PRP 63372 2022 14 think think VBP 63372 2022 15 are be VBP 63372 2022 16 straight straight JJ 63372 2022 17 lines line NNS 63372 2022 18 are be VBP 63372 2022 19 " " `` 63372 2022 20 really really RB 63372 2022 21 " " '' 63372 2022 22 curved curved JJ 63372 2022 23 lines line NNS 63372 2022 24 , , , 63372 2022 25 and and CC 63372 2022 26 Euclidean euclidean JJ 63372 2022 27 geometry geometry NN 63372 2022 28 , , , 63372 2022 29 based base VBN 63372 2022 30 on on IN 63372 2022 31 the the DT 63372 2022 32 assumption assumption NN 63372 2022 33 that that IN 63372 2022 34 its -PRON- PRP$ 63372 2022 35 lines line NNS 63372 2022 36 are be VBP 63372 2022 37 straight straight JJ 63372 2022 38 , , , 63372 2022 39 must must MD 63372 2022 40 founder founder VB 63372 2022 41 when when WRB 63372 2022 42 tested test VBN 63372 2022 43 by by IN 63372 2022 44 more more RBR 63372 2022 45 accurate accurate JJ 63372 2022 46 measurements measurement NNS 63372 2022 47 . . . 63372 2023 1 And and CC 63372 2023 2 in in IN 63372 2023 3 point point NN 63372 2023 4 of of IN 63372 2023 5 fact fact NN 63372 2023 6 we -PRON- PRP 63372 2023 7 are be VBP 63372 2023 8 in in IN 63372 2023 9 a a DT 63372 2023 10 state state NN 63372 2023 11 of of IN 63372 2023 12 acceleration acceleration NN 63372 2023 13 : : : 63372 2023 14 for for IN 63372 2023 15 we -PRON- PRP 63372 2023 16 are be VBP 63372 2023 17 being be VBG 63372 2023 18 acted act VBN 63372 2023 19 upon upon IN 63372 2023 20 by by IN 63372 2023 21 a a DT 63372 2023 22 force force NN 63372 2023 23 -- -- : 63372 2023 24 namely namely RB 63372 2023 25 , , , 63372 2023 26 the the DT 63372 2023 27 force force NN 63372 2023 28 of of IN 63372 2023 29 gravitation gravitation NN 63372 2023 30 . . . 63372 2024 1 Wherever wherever WRB 63372 2024 2 there there EX 63372 2024 3 is be VBZ 63372 2024 4 matter matter NN 63372 2024 5 , , , 63372 2024 6 there there EX 63372 2024 7 is be VBZ 63372 2024 8 gravitation gravitation NN 63372 2024 9 ; ; : 63372 2024 10 wherever wherever WRB 63372 2024 11 there there EX 63372 2024 12 is be VBZ 63372 2024 13 gravitation gravitation NN 63372 2024 14 there there EX 63372 2024 15 is be VBZ 63372 2024 16 acceleration acceleration NN 63372 2024 17 ; ; : 63372 2024 18 wherever wherever WRB 63372 2024 19 there there EX 63372 2024 20 is be VBZ 63372 2024 21 acceleration acceleration NN 63372 2024 22 Euclidean Euclidean NNP 63372 2024 23 geometry geometry NN 63372 2024 24 is be VBZ 63372 2024 25 inaccurate inaccurate JJ 63372 2024 26 . . . 63372 2025 1 Hence hence RB 63372 2025 2 in in IN 63372 2025 3 the the DT 63372 2025 4 space space NN 63372 2025 5 surrounding surround VBG 63372 2025 6 matter matter NN 63372 2025 7 a a DT 63372 2025 8 different different JJ 63372 2025 9 geometry geometry NN 63372 2025 10 holds hold VBZ 63372 2025 11 the the DT 63372 2025 12 field field NN 63372 2025 13 ; ; : 63372 2025 14 and and CC 63372 2025 15 bodies body NNS 63372 2025 16 in in IN 63372 2025 17 general general JJ 63372 2025 18 move move NN 63372 2025 19 through through IN 63372 2025 20 such such JJ 63372 2025 21 space space NN 63372 2025 22 in in IN 63372 2025 23 curved curved JJ 63372 2025 24 lines line NNS 63372 2025 25 . . . 63372 2026 1 Different different JJ 63372 2026 2 parts part NNS 63372 2026 3 of of IN 63372 2026 4 space space NN 63372 2026 5 are be VBP 63372 2026 6 thus thus RB 63372 2026 7 characterized characterize VBN 63372 2026 8 by by IN 63372 2026 9 different different JJ 63372 2026 10 geometrical geometrical JJ 63372 2026 11 properties property NNS 63372 2026 12 . . . 63372 2027 1 All all DT 63372 2027 2 bodies body NNS 63372 2027 3 in in IN 63372 2027 4 the the DT 63372 2027 5 universe universe NNP 63372 2027 6 proceed proceed NN 63372 2027 7 on on IN 63372 2027 8 their -PRON- PRP$ 63372 2027 9 established establish VBN 63372 2027 10 courses course NNS 63372 2027 11 through through IN 63372 2027 12 space space NN 63372 2027 13 and and CC 63372 2027 14 time time NN 63372 2027 15 . . . 63372 2028 1 But but CC 63372 2028 2 when when WRB 63372 2028 3 they -PRON- PRP 63372 2028 4 come come VBP 63372 2028 5 to to IN 63372 2028 6 distorted distorted JJ 63372 2028 7 geometrical geometrical JJ 63372 2028 8 areas area NNS 63372 2028 9 , , , 63372 2028 10 their -PRON- PRP$ 63372 2028 11 paths path NNS 63372 2028 12 naturally naturally RB 63372 2028 13 seem seem VBP 63372 2028 14 to to IN 63372 2028 15 us -PRON- PRP 63372 2028 16 different different JJ 63372 2028 17 from from IN 63372 2028 18 when when WRB 63372 2028 19 they -PRON- PRP 63372 2028 20 were be VBD 63372 2028 21 moving move VBG 63372 2028 22 through through IN 63372 2028 23 less less JJR 63372 2028 24 disturbed disturbed JJ 63372 2028 25 regions region NNS 63372 2028 26 . . . 63372 2029 1 They -PRON- PRP 63372 2029 2 exhibit exhibit VBP 63372 2029 3 the the DT 63372 2029 4 difference difference NN 63372 2029 5 by by IN 63372 2029 6 acquiring acquire VBG 63372 2029 7 an an DT 63372 2029 8 acceleration acceleration NN 63372 2029 9 ; ; : 63372 2029 10 and and CC 63372 2029 11 we -PRON- PRP 63372 2029 12 explain explain VBP 63372 2029 13 the the DT 63372 2029 14 acceleration acceleration NN 63372 2029 15 by by IN 63372 2029 16 alleging allege VBG 63372 2029 17 the the DT 63372 2029 18 existence existence NN 63372 2029 19 of of IN 63372 2029 20 a a DT 63372 2029 21 force force NN 63372 2029 22 , , , 63372 2029 23 which which WDT 63372 2029 24 we -PRON- PRP 63372 2029 25 call call VBP 63372 2029 26 the the DT 63372 2029 27 force force NN 63372 2029 28 of of IN 63372 2029 29 gravitation gravitation NN 63372 2029 30 . . . 63372 2030 1 But but CC 63372 2030 2 their -PRON- PRP$ 63372 2030 3 motions motion NNS 63372 2030 4 can can MD 63372 2030 5 in in IN 63372 2030 6 fact fact NN 63372 2030 7 be be VB 63372 2030 8 perfectly perfectly RB 63372 2030 9 predicted predict VBN 63372 2030 10 if if IN 63372 2030 11 we -PRON- PRP 63372 2030 12 know know VBP 63372 2030 13 the the DT 63372 2030 14 geometry geometry NN 63372 2030 15 of of IN 63372 2030 16 the the DT 63372 2030 17 space space NN 63372 2030 18 through through IN 63372 2030 19 which which WDT 63372 2030 20 they -PRON- PRP 63372 2030 21 are be VBP 63372 2030 22 traveling travel VBG 63372 2030 23 . . . 63372 2031 1 The the DT 63372 2031 2 predictions prediction NNS 63372 2031 3 so so RB 63372 2031 4 based base VBN 63372 2031 5 have have VBP 63372 2031 6 in in IN 63372 2031 7 fact fact NN 63372 2031 8 proved prove VBD 63372 2031 9 more more RBR 63372 2031 10 accurate accurate JJ 63372 2031 11 than than IN 63372 2031 12 those those DT 63372 2031 13 based base VBN 63372 2031 14 on on IN 63372 2031 15 the the DT 63372 2031 16 law law NN 63372 2031 17 of of IN 63372 2031 18 gravitation gravitation NN 63372 2031 19 . . . 63372 2032 1 X x NN 63372 2032 2 SPACE space NN 63372 2032 3 , , , 63372 2032 4 TIME TIME NNP 63372 2032 5 AND and CC 63372 2032 6 GRAVITATION GRAVITATION NNP 63372 2032 7 An an DT 63372 2032 8 Outline Outline NNP 63372 2032 9 of of IN 63372 2032 10 Einstein Einstein NNP 63372 2032 11 's 's POS 63372 2032 12 Theory Theory NNP 63372 2032 13 of of IN 63372 2032 14 General General NNP 63372 2032 15 Relativity Relativity NNP 63372 2032 16 BY BY NNP 63372 2032 17 W. W. NNP 63372 2032 18 DE DE NNP 63372 2032 19 SITTER SITTER NNP 63372 2032 20 PROFESSOR PROFESSOR NNP 63372 2032 21 OF of IN 63372 2032 22 ASTRONOMY ASTRONOMY NNP 63372 2032 23 IN in IN 63372 2032 24 THE the DT 63372 2032 25 UNIVERSITY UNIVERSITY NNP 63372 2032 26 OF of IN 63372 2032 27 LEYDEN LEYDEN NNP 63372 2032 28 " " `` 63372 2032 29 Henceforth henceforth NN 63372 2032 30 space space NN 63372 2032 31 by by IN 63372 2032 32 itself -PRON- PRP 63372 2032 33 and and CC 63372 2032 34 time time NN 63372 2032 35 by by IN 63372 2032 36 itself -PRON- PRP 63372 2032 37 shall shall MD 63372 2032 38 sink sink VB 63372 2032 39 to to IN 63372 2032 40 mere mere JJ 63372 2032 41 shadows shadow NNS 63372 2032 42 , , , 63372 2032 43 and and CC 63372 2032 44 only only RB 63372 2032 45 a a DT 63372 2032 46 union union NN 63372 2032 47 of of IN 63372 2032 48 the the DT 63372 2032 49 two two CD 63372 2032 50 shall shall MD 63372 2032 51 preserve preserve VB 63372 2032 52 reality reality NN 63372 2032 53 . . . 63372 2032 54 " " '' 63372 2033 1 The the DT 63372 2033 2 prophecy prophecy NN 63372 2033 3 contained contain VBN 63372 2033 4 in in IN 63372 2033 5 the the DT 63372 2033 6 above above RB 63372 2033 7 - - HYPH 63372 2033 8 quoted quote VBN 63372 2033 9 words word NNS 63372 2033 10 , , , 63372 2033 11 spoken speak VBN 63372 2033 12 by by IN 63372 2033 13 Minkowski Minkowski NNP 63372 2033 14 at at IN 63372 2033 15 the the DT 63372 2033 16 meeting meeting NN 63372 2033 17 of of IN 63372 2033 18 German German NNP 63372 2033 19 " " `` 63372 2033 20 Naturforscher Naturforscher NNP 63372 2033 21 und und JJ 63372 2033 22 Aerzte Aerzte NNP 63372 2033 23 " " '' 63372 2033 24 at at IN 63372 2033 25 Cologne Cologne NNP 63372 2033 26 in in IN 63372 2033 27 1908 1908 CD 63372 2033 28 , , , 63372 2033 29 has have VBZ 63372 2033 30 , , , 63372 2033 31 however however RB 63372 2033 32 , , , 63372 2033 33 only only RB 63372 2033 34 been be VBN 63372 2033 35 completely completely RB 63372 2033 36 fulfilled fulfil VBN 63372 2033 37 by by IN 63372 2033 38 Einstein Einstein NNP 63372 2033 39 's 's POS 63372 2033 40 " " `` 63372 2033 41 Allgemeine Allgemeine NNP 63372 2033 42 Relativitäts Relativitäts NNP 63372 2033 43 - - HYPH 63372 2033 44 theorie theorie NNP 63372 2033 45 " " '' 63372 2033 46 of of IN 63372 2033 47 1915 1915 CD 63372 2033 48 , , , 63372 2033 49 which which WDT 63372 2033 50 incorporated incorporate VBD 63372 2033 51 gravitation gravitation NN 63372 2033 52 into into IN 63372 2033 53 the the DT 63372 2033 54 union union NN 63372 2033 55 . . . 63372 2034 1 In in IN 63372 2034 2 the the DT 63372 2034 3 following follow VBG 63372 2034 4 pages page NNS 63372 2034 5 an an DT 63372 2034 6 attempt attempt NN 63372 2034 7 is be VBZ 63372 2034 8 made make VBN 63372 2034 9 to to TO 63372 2034 10 set set VB 63372 2034 11 forth forth RP 63372 2034 12 , , , 63372 2034 13 without without IN 63372 2034 14 using use VBG 63372 2034 15 any any DT 63372 2034 16 technical technical JJ 63372 2034 17 language language NN 63372 2034 18 , , , 63372 2034 19 the the DT 63372 2034 20 leading lead VBG 63372 2034 21 ideas idea NNS 63372 2034 22 of of IN 63372 2034 23 that that DT 63372 2034 24 theory theory NN 63372 2034 25 : : : 63372 2034 26 I -PRON- PRP 63372 2034 27 will will MD 63372 2034 28 confine confine VB 63372 2034 29 myself -PRON- PRP 63372 2034 30 to to IN 63372 2034 31 the the DT 63372 2034 32 theory theory NN 63372 2034 33 as as IN 63372 2034 34 published publish VBN 63372 2034 35 by by IN 63372 2034 36 Einstein Einstein NNP 63372 2034 37 in in IN 63372 2034 38 November November NNP 63372 2034 39 , , , 63372 2034 40 1915 1915 CD 63372 2034 41 , , , 63372 2034 42 which which WDT 63372 2034 43 forms form VBZ 63372 2034 44 a a DT 63372 2034 45 consistent consistent JJ 63372 2034 46 whole whole NN 63372 2034 47 , , , 63372 2034 48 complete complete JJ 63372 2034 49 in in IN 63372 2034 50 itself -PRON- PRP 63372 2034 51 ; ; : 63372 2034 52 and and CC 63372 2034 53 I -PRON- PRP 63372 2034 54 will will MD 63372 2034 55 not not RB 63372 2034 56 refer refer VB 63372 2034 57 to to IN 63372 2034 58 later later JJ 63372 2034 59 developments development NNS 63372 2034 60 , , , 63372 2034 61 which which WDT 63372 2034 62 are be VBP 63372 2034 63 still still RB 63372 2034 64 more more RBR 63372 2034 65 or or CC 63372 2034 66 less less RBR 63372 2034 67 tentative tentative JJ 63372 2034 68 , , , 63372 2034 69 and and CC 63372 2034 70 not not RB 63372 2034 71 necessary necessary JJ 63372 2034 72 for for IN 63372 2034 73 the the DT 63372 2034 74 understanding understanding NN 63372 2034 75 of of IN 63372 2034 76 the the DT 63372 2034 77 theory theory NN 63372 2034 78 . . . 63372 2035 1 The the DT 63372 2035 2 mathematics mathematic NNS 63372 2035 3 used use VBN 63372 2035 4 by by IN 63372 2035 5 Einstein Einstein NNP 63372 2035 6 is be VBZ 63372 2035 7 the the DT 63372 2035 8 so so RB 63372 2035 9 - - HYPH 63372 2035 10 called call VBN 63372 2035 11 Absolute Absolute NNP 63372 2035 12 Differential Differential NNP 63372 2035 13 Calculus Calculus NNP 63372 2035 14 . . . 63372 2036 1 It -PRON- PRP 63372 2036 2 is be VBZ 63372 2036 3 not not RB 63372 2036 4 more more RBR 63372 2036 5 difficult difficult JJ 63372 2036 6 or or CC 63372 2036 7 recondite recondite JJ 63372 2036 8 than than IN 63372 2036 9 that that DT 63372 2036 10 used use VBN 63372 2036 11 in in IN 63372 2036 12 other other JJ 63372 2036 13 branches branch NNS 63372 2036 14 of of IN 63372 2036 15 theoretical theoretical JJ 63372 2036 16 physics physics NN 63372 2036 17 , , , 63372 2036 18 but but CC 63372 2036 19 it -PRON- PRP 63372 2036 20 is be VBZ 63372 2036 21 somewhat somewhat RB 63372 2036 22 unfamiliar unfamiliar JJ 63372 2036 23 to to IN 63372 2036 24 most most JJS 63372 2036 25 of of IN 63372 2036 26 us -PRON- PRP 63372 2036 27 , , , 63372 2036 28 because because IN 63372 2036 29 it -PRON- PRP 63372 2036 30 is be VBZ 63372 2036 31 not not RB 63372 2036 32 generally generally RB 63372 2036 33 taught teach VBN 63372 2036 34 in in IN 63372 2036 35 the the DT 63372 2036 36 regular regular JJ 63372 2036 37 university university NN 63372 2036 38 courses course NNS 63372 2036 39 . . . 63372 2037 1 I -PRON- PRP 63372 2037 2 will will MD 63372 2037 3 , , , 63372 2037 4 however however RB 63372 2037 5 , , , 63372 2037 6 in in IN 63372 2037 7 this this DT 63372 2037 8 essay essay NN 63372 2037 9 abstain abstain NN 63372 2037 10 from from IN 63372 2037 11 using use VBG 63372 2037 12 any any DT 63372 2037 13 mathematics mathematic NNS 63372 2037 14 at at RB 63372 2037 15 all all RB 63372 2037 16 , , , 63372 2037 17 at at IN 63372 2037 18 least least JJS 63372 2037 19 , , , 63372 2037 20 I -PRON- PRP 63372 2037 21 will will MD 63372 2037 22 not not RB 63372 2037 23 be be VB 63372 2037 24 using use VBG 63372 2037 25 it -PRON- PRP 63372 2037 26 openly openly RB 63372 2037 27 . . . 63372 2038 1 It -PRON- PRP 63372 2038 2 is be VBZ 63372 2038 3 of of IN 63372 2038 4 course course NN 63372 2038 5 unavoidable unavoidable JJ 63372 2038 6 to to TO 63372 2038 7 use use VB 63372 2038 8 at at IN 63372 2038 9 least least JJS 63372 2038 10 the the DT 63372 2038 11 results result NNS 63372 2038 12 of of IN 63372 2038 13 the the DT 63372 2038 14 mathematical mathematical JJ 63372 2038 15 reasoning reasoning NN 63372 2038 16 , , , 63372 2038 17 if if IN 63372 2038 18 not not RB 63372 2038 19 the the DT 63372 2038 20 reasoning reasoning NN 63372 2038 21 itself -PRON- PRP 63372 2038 22 ; ; : 63372 2038 23 but but CC 63372 2038 24 so so RB 63372 2038 25 long long RB 63372 2038 26 as as IN 63372 2038 27 they -PRON- PRP 63372 2038 28 are be VBP 63372 2038 29 not not RB 63372 2038 30 put put VBN 63372 2038 31 into into IN 63372 2038 32 formulas formula NNS 63372 2038 33 they -PRON- PRP 63372 2038 34 will will MD 63372 2038 35 , , , 63372 2038 36 it -PRON- PRP 63372 2038 37 is be VBZ 63372 2038 38 hoped hope VBN 63372 2038 39 , , , 63372 2038 40 not not RB 63372 2038 41 look look VB 63372 2038 42 so so RB 63372 2038 43 formidable formidable JJ 63372 2038 44 to to IN 63372 2038 45 the the DT 63372 2038 46 reader reader NN 63372 2038 47 . . . 63372 2039 1 Referring refer VBG 63372 2039 2 to to IN 63372 2039 3 the the DT 63372 2039 4 quoted quote VBN 63372 2039 5 words word NNS 63372 2039 6 of of IN 63372 2039 7 Minkowski Minkowski NNP 63372 2039 8 , , , 63372 2039 9 we -PRON- PRP 63372 2039 10 may may MD 63372 2039 11 ask ask VB 63372 2039 12 what what WP 63372 2039 13 is be VBZ 63372 2039 14 meant mean VBN 63372 2039 15 by by IN 63372 2039 16 " " `` 63372 2039 17 reality reality NN 63372 2039 18 . . . 63372 2039 19 " " '' 63372 2040 1 Physical physical JJ 63372 2040 2 science science NN 63372 2040 3 , , , 63372 2040 4 like like IN 63372 2040 5 common common JJ 63372 2040 6 sense sense NN 63372 2040 7 , , , 63372 2040 8 takes take VBZ 63372 2040 9 for for IN 63372 2040 10 granted grant VBN 63372 2040 11 that that IN 63372 2040 12 there there EX 63372 2040 13 is be VBZ 63372 2040 14 a a DT 63372 2040 15 reality reality NN 63372 2040 16 behind behind IN 63372 2040 17 the the DT 63372 2040 18 phenomena phenomenon NNS 63372 2040 19 , , , 63372 2040 20 which which WDT 63372 2040 21 is be VBZ 63372 2040 22 independent independent JJ 63372 2040 23 of of IN 63372 2040 24 the the DT 63372 2040 25 person person NN 63372 2040 26 by by IN 63372 2040 27 whom whom WP 63372 2040 28 , , , 63372 2040 29 and and CC 63372 2040 30 the the DT 63372 2040 31 particular particular JJ 63372 2040 32 methods method NNS 63372 2040 33 by by IN 63372 2040 34 which which WDT 63372 2040 35 it -PRON- PRP 63372 2040 36 is be VBZ 63372 2040 37 observed observe VBN 63372 2040 38 , , , 63372 2040 39 and and CC 63372 2040 40 which which WDT 63372 2040 41 is be VBZ 63372 2040 42 also also RB 63372 2040 43 there there RB 63372 2040 44 when when WRB 63372 2040 45 it -PRON- PRP 63372 2040 46 is be VBZ 63372 2040 47 not not RB 63372 2040 48 observed observe VBN 63372 2040 49 . . . 63372 2041 1 Strictly strictly RB 63372 2041 2 speaking speak VBG 63372 2041 3 , , , 63372 2041 4 all all DT 63372 2041 5 talk talk VB 63372 2041 6 about about IN 63372 2041 7 what what WP 63372 2041 8 is be VBZ 63372 2041 9 not not RB 63372 2041 10 observed observe VBN 63372 2041 11 is be VBZ 63372 2041 12 metaphysics metaphysic NNS 63372 2041 13 . . . 63372 2042 1 Nevertheless nevertheless RB 63372 2042 2 the the DT 63372 2042 3 physicist physicist NN 63372 2042 4 unhesitatingly unhesitatingly RB 63372 2042 5 believes believe VBZ 63372 2042 6 that that IN 63372 2042 7 his -PRON- PRP$ 63372 2042 8 laws law NNS 63372 2042 9 are be VBP 63372 2042 10 general general JJ 63372 2042 11 , , , 63372 2042 12 and and CC 63372 2042 13 that that IN 63372 2042 14 the the DT 63372 2042 15 phenomena phenomenon NNS 63372 2042 16 continue continue VBP 63372 2042 17 to to TO 63372 2042 18 happen happen VB 63372 2042 19 according accord VBG 63372 2042 20 to to IN 63372 2042 21 them -PRON- PRP 63372 2042 22 when when WRB 63372 2042 23 nobody nobody NN 63372 2042 24 is be VBZ 63372 2042 25 looking look VBG 63372 2042 26 . . . 63372 2043 1 And and CC 63372 2043 2 since since IN 63372 2043 3 it -PRON- PRP 63372 2043 4 would would MD 63372 2043 5 be be VB 63372 2043 6 impossible impossible JJ 63372 2043 7 to to TO 63372 2043 8 prove prove VB 63372 2043 9 that that IN 63372 2043 10 they -PRON- PRP 63372 2043 11 did do VBD 63372 2043 12 not not RB 63372 2043 13 , , , 63372 2043 14 he -PRON- PRP 63372 2043 15 is be VBZ 63372 2043 16 fully fully RB 63372 2043 17 entitled entitle VBN 63372 2043 18 to to IN 63372 2043 19 his -PRON- PRP$ 63372 2043 20 belief belief NN 63372 2043 21 . . . 63372 2044 1 The the DT 63372 2044 2 observed observed JJ 63372 2044 3 phenomena phenomenon NNS 63372 2044 4 are be VBP 63372 2044 5 the the DT 63372 2044 6 effects effect NNS 63372 2044 7 of of IN 63372 2044 8 the the DT 63372 2044 9 action action NN 63372 2044 10 of of IN 63372 2044 11 this this DT 63372 2044 12 reality reality NN 63372 2044 13 , , , 63372 2044 14 of of IN 63372 2044 15 which which WDT 63372 2044 16 we -PRON- PRP 63372 2044 17 assume assume VBP 63372 2044 18 the the DT 63372 2044 19 existence existence NN 63372 2044 20 , , , 63372 2044 21 on on IN 63372 2044 22 the the DT 63372 2044 23 observer observer NN 63372 2044 24 's 's POS 63372 2044 25 senses sense NNS 63372 2044 26 -- -- : 63372 2044 27 or or CC 63372 2044 28 apparatus apparatus NN 63372 2044 29 , , , 63372 2044 30 which which WDT 63372 2044 31 are be VBP 63372 2044 32 extended extended JJ 63372 2044 33 and and CC 63372 2044 34 refined refined JJ 63372 2044 35 sense sense NN 63372 2044 36 - - HYPH 63372 2044 37 organs organ NNS 63372 2044 38 . . . 63372 2045 1 The the DT 63372 2045 2 laws law NNS 63372 2045 3 governing govern VBG 63372 2045 4 the the DT 63372 2045 5 phenomena phenomenon NNS 63372 2045 6 therefore therefore RB 63372 2045 7 must must MD 63372 2045 8 convey convey VB 63372 2045 9 some some DT 63372 2045 10 information information NN 63372 2045 11 regarding regard VBG 63372 2045 12 this this DT 63372 2045 13 reality reality NN 63372 2045 14 . . . 63372 2046 1 We -PRON- PRP 63372 2046 2 shall shall MD 63372 2046 3 never never RB 63372 2046 4 by by IN 63372 2046 5 any any DT 63372 2046 6 means mean NNS 63372 2046 7 be be VB 63372 2046 8 able able JJ 63372 2046 9 to to TO 63372 2046 10 know know VB 63372 2046 11 anything anything NN 63372 2046 12 else else RB 63372 2046 13 about about IN 63372 2046 14 it -PRON- PRP 63372 2046 15 but but CC 63372 2046 16 just just RB 63372 2046 17 these these DT 63372 2046 18 laws law NNS 63372 2046 19 . . . 63372 2047 1 To to IN 63372 2047 2 all all DT 63372 2047 3 intents intent NNS 63372 2047 4 and and CC 63372 2047 5 purposes purpose VBZ 63372 2047 6 the the DT 63372 2047 7 laws law NNS 63372 2047 8 are be VBP 63372 2047 9 the the DT 63372 2047 10 reality reality NN 63372 2047 11 , , , 63372 2047 12 if if IN 63372 2047 13 we -PRON- PRP 63372 2047 14 eliminate eliminate VBP 63372 2047 15 from from IN 63372 2047 16 them -PRON- PRP 63372 2047 17 all all DT 63372 2047 18 that that WDT 63372 2047 19 refers refer VBZ 63372 2047 20 to to IN 63372 2047 21 the the DT 63372 2047 22 observer observer NN 63372 2047 23 alone alone RB 63372 2047 24 . . . 63372 2048 1 What what WP 63372 2048 2 refers refer VBZ 63372 2048 3 to to IN 63372 2048 4 the the DT 63372 2048 5 reality reality NN 63372 2048 6 is be VBZ 63372 2048 7 called call VBN 63372 2048 8 " " `` 63372 2048 9 absolute absolute JJ 63372 2048 10 , , , 63372 2048 11 " " '' 63372 2048 12 and and CC 63372 2048 13 what what WP 63372 2048 14 involves involve VBZ 63372 2048 15 reference reference NN 63372 2048 16 to to IN 63372 2048 17 the the DT 63372 2048 18 observer observer NN 63372 2048 19 " " `` 63372 2048 20 relative relative NNP 63372 2048 21 . . . 63372 2048 22 " " '' 63372 2049 1 The the DT 63372 2049 2 elimination elimination NN 63372 2049 3 of of IN 63372 2049 4 the the DT 63372 2049 5 relative relative NN 63372 2049 6 is be VBZ 63372 2049 7 one one CD 63372 2049 8 of of IN 63372 2049 9 the the DT 63372 2049 10 things thing NNS 63372 2049 11 the the DT 63372 2049 12 theory theory NN 63372 2049 13 of of IN 63372 2049 14 relativity relativity NN 63372 2049 15 has have VBZ 63372 2049 16 set set VBN 63372 2049 17 out out RP 63372 2049 18 to to TO 63372 2049 19 do do VB 63372 2049 20 . . . 63372 2050 1 THE the DT 63372 2050 2 EXTERNAL EXTERNAL NNP 63372 2050 3 WORLD world NN 63372 2050 4 AND and CC 63372 2050 5 ITS its PRP$ 63372 2050 6 GEOMETRY GEOMETRY NNP 63372 2050 7 To to TO 63372 2050 8 describe describe VB 63372 2050 9 the the DT 63372 2050 10 phenomena phenomenon NNS 63372 2050 11 and and CC 63372 2050 12 derive derive VB 63372 2050 13 laws law NNS 63372 2050 14 from from IN 63372 2050 15 them -PRON- PRP 63372 2050 16 , , , 63372 2050 17 we -PRON- PRP 63372 2050 18 locate locate VBP 63372 2050 19 them -PRON- PRP 63372 2050 20 in in IN 63372 2050 21 space space NN 63372 2050 22 and and CC 63372 2050 23 time time NN 63372 2050 24 . . . 63372 2051 1 To to TO 63372 2051 2 do do VB 63372 2051 3 this this DT 63372 2051 4 we -PRON- PRP 63372 2051 5 use use VBP 63372 2051 6 geometry geometry NN 63372 2051 7 . . . 63372 2052 1 Here here RB 63372 2052 2 it -PRON- PRP 63372 2052 3 is be VBZ 63372 2052 4 that that IN 63372 2052 5 the the DT 63372 2052 6 part part NN 63372 2052 7 contributed contribute VBN 63372 2052 8 by by IN 63372 2052 9 the the DT 63372 2052 10 observer observer NN 63372 2052 11 comes come VBZ 63372 2052 12 in in RP 63372 2052 13 . . . 63372 2053 1 There there EX 63372 2053 2 are be VBP 63372 2053 3 an an DT 63372 2053 4 infinite infinite JJ 63372 2053 5 number number NN 63372 2053 6 of of IN 63372 2053 7 geometries geometry NNS 63372 2053 8 , , , 63372 2053 9 and and CC 63372 2053 10 a a DT 63372 2053 11 priori priori FW 63372 2053 12 there there EX 63372 2053 13 seems seem VBZ 63372 2053 14 to to TO 63372 2053 15 be be VB 63372 2053 16 no no DT 63372 2053 17 reason reason NN 63372 2053 18 to to TO 63372 2053 19 choose choose VB 63372 2053 20 one one NN 63372 2053 21 rather rather RB 63372 2053 22 than than IN 63372 2053 23 the the DT 63372 2053 24 other other JJ 63372 2053 25 . . . 63372 2054 1 Taking take VBG 63372 2054 2 geometry geometry NN 63372 2054 3 of of IN 63372 2054 4 two two CD 63372 2054 5 dimensions dimension NNS 63372 2054 6 as as IN 63372 2054 7 an an DT 63372 2054 8 example example NN 63372 2054 9 , , , 63372 2054 10 we -PRON- PRP 63372 2054 11 can can MD 63372 2054 12 draw draw VB 63372 2054 13 figures figure NNS 63372 2054 14 on on IN 63372 2054 15 a a DT 63372 2054 16 piece piece NN 63372 2054 17 of of IN 63372 2054 18 paper paper NN 63372 2054 19 , , , 63372 2054 20 and and CC 63372 2054 21 discuss discuss VB 63372 2054 22 their -PRON- PRP$ 63372 2054 23 properties property NNS 63372 2054 24 , , , 63372 2054 25 and and CC 63372 2054 26 we -PRON- PRP 63372 2054 27 can can MD 63372 2054 28 also also RB 63372 2054 29 do do VB 63372 2054 30 so so RB 63372 2054 31 on on IN 63372 2054 32 the the DT 63372 2054 33 shell shell NN 63372 2054 34 of of IN 63372 2054 35 an an DT 63372 2054 36 egg egg NN 63372 2054 37 . . . 63372 2055 1 But but CC 63372 2055 2 we -PRON- PRP 63372 2055 3 can can MD 63372 2055 4 not not RB 63372 2055 5 draw draw VB 63372 2055 6 the the DT 63372 2055 7 same same JJ 63372 2055 8 figures figure NNS 63372 2055 9 on on IN 63372 2055 10 the the DT 63372 2055 11 egg egg NN 63372 2055 12 as as IN 63372 2055 13 on on IN 63372 2055 14 the the DT 63372 2055 15 paper paper NN 63372 2055 16 . . . 63372 2056 1 The the DT 63372 2056 2 ones one NNS 63372 2056 3 will will MD 63372 2056 4 be be VB 63372 2056 5 distorted distort VBN 63372 2056 6 as as IN 63372 2056 7 compared compare VBN 63372 2056 8 with with IN 63372 2056 9 the the DT 63372 2056 10 others other NNS 63372 2056 11 : : : 63372 2056 12 the the DT 63372 2056 13 two two CD 63372 2056 14 surfaces surface NNS 63372 2056 15 have have VBP 63372 2056 16 a a DT 63372 2056 17 different different JJ 63372 2056 18 geometry geometry NN 63372 2056 19 . . . 63372 2057 1 Similarly similarly RB 63372 2057 2 it -PRON- PRP 63372 2057 3 is be VBZ 63372 2057 4 not not RB 63372 2057 5 possible possible JJ 63372 2057 6 to to TO 63372 2057 7 draw draw VB 63372 2057 8 an an DT 63372 2057 9 accurate accurate JJ 63372 2057 10 map map NN 63372 2057 11 of of IN 63372 2057 12 the the DT 63372 2057 13 earth earth NN 63372 2057 14 on on IN 63372 2057 15 a a DT 63372 2057 16 sheet sheet NN 63372 2057 17 of of IN 63372 2057 18 paper paper NN 63372 2057 19 , , , 63372 2057 20 because because IN 63372 2057 21 the the DT 63372 2057 22 earth earth NN 63372 2057 23 is be VBZ 63372 2057 24 spherical spherical JJ 63372 2057 25 and and CC 63372 2057 26 its -PRON- PRP$ 63372 2057 27 representation representation NN 63372 2057 28 on on IN 63372 2057 29 the the DT 63372 2057 30 flat flat JJ 63372 2057 31 paper paper NN 63372 2057 32 is be VBZ 63372 2057 33 always always RB 63372 2057 34 more more RBR 63372 2057 35 or or CC 63372 2057 36 less less RBR 63372 2057 37 distorted distorted JJ 63372 2057 38 . . . 63372 2058 1 The the DT 63372 2058 2 earth earth NN 63372 2058 3 requires require VBZ 63372 2058 4 spherical spherical JJ 63372 2058 5 geometry geometry NN 63372 2058 6 , , , 63372 2058 7 which which WDT 63372 2058 8 differs differ VBZ 63372 2058 9 from from IN 63372 2058 10 the the DT 63372 2058 11 flat flat JJ 63372 2058 12 , , , 63372 2058 13 or or CC 63372 2058 14 Euclidean Euclidean NNP 63372 2058 15 , , , 63372 2058 16 geometry geometry NN 63372 2058 17 of of IN 63372 2058 18 the the DT 63372 2058 19 paper paper NN 63372 2058 20 . . . 63372 2059 1 Up up IN 63372 2059 2 to to IN 63372 2059 3 a a DT 63372 2059 4 few few JJ 63372 2059 5 years year NNS 63372 2059 6 ago ago RB 63372 2059 7 Euclidean Euclidean NNP 63372 2059 8 ( ( -LRB- 63372 2059 9 i.e. i.e. FW 63372 2060 1 flat flat JJ 63372 2060 2 ) ) -RRB- 63372 2060 3 geometry geometry NN 63372 2060 4 of of IN 63372 2060 5 three three CD 63372 2060 6 dimensions dimension NNS 63372 2060 7 had have VBD 63372 2060 8 been be VBN 63372 2060 9 exclusively exclusively RB 63372 2060 10 used use VBN 63372 2060 11 in in IN 63372 2060 12 physical physical JJ 63372 2060 13 theories theory NNS 63372 2060 14 . . . 63372 2061 1 Why why WRB 63372 2061 2 ? ? . 63372 2062 1 Because because IN 63372 2062 2 it -PRON- PRP 63372 2062 3 is be VBZ 63372 2062 4 the the DT 63372 2062 5 true true JJ 63372 2062 6 one one NN 63372 2062 7 , , , 63372 2062 8 is be VBZ 63372 2062 9 the the DT 63372 2062 10 one one CD 63372 2062 11 answer answer NN 63372 2062 12 generally generally RB 63372 2062 13 given give VBN 63372 2062 14 . . . 63372 2063 1 Now now RB 63372 2063 2 a a DT 63372 2063 3 statement statement NN 63372 2063 4 about about IN 63372 2063 5 facts fact NNS 63372 2063 6 can can MD 63372 2063 7 be be VB 63372 2063 8 true true JJ 63372 2063 9 or or CC 63372 2063 10 false false JJ 63372 2063 11 , , , 63372 2063 12 but but CC 63372 2063 13 a a DT 63372 2063 14 mathematical mathematical JJ 63372 2063 15 discipline discipline NN 63372 2063 16 is be VBZ 63372 2063 17 neither neither CC 63372 2063 18 true true JJ 63372 2063 19 nor nor CC 63372 2063 20 false false JJ 63372 2063 21 ; ; : 63372 2063 22 it -PRON- PRP 63372 2063 23 can can MD 63372 2063 24 only only RB 63372 2063 25 be be VB 63372 2063 26 correct correct JJ 63372 2063 27 -- -- : 63372 2063 28 i.e i.e XX 63372 2063 29 . . . 63372 2064 1 consistent consistent JJ 63372 2064 2 in in IN 63372 2064 3 itself -PRON- PRP 63372 2064 4 -- -- : 63372 2064 5 or or CC 63372 2064 6 incorrect incorrect JJ 63372 2064 7 , , , 63372 2064 8 and and CC 63372 2064 9 of of IN 63372 2064 10 course course NN 63372 2064 11 it -PRON- PRP 63372 2064 12 always always RB 63372 2064 13 is be VBZ 63372 2064 14 correct correct JJ 63372 2064 15 . . . 63372 2065 1 The the DT 63372 2065 2 assertion assertion NN 63372 2065 3 that that IN 63372 2065 4 a a DT 63372 2065 5 certain certain JJ 63372 2065 6 geometry geometry NN 63372 2065 7 is be VBZ 63372 2065 8 the the DT 63372 2065 9 " " `` 63372 2065 10 true true JJ 63372 2065 11 " " '' 63372 2065 12 one one PRP 63372 2065 13 can can MD 63372 2065 14 thus thus RB 63372 2065 15 only only RB 63372 2065 16 mean mean VB 63372 2065 17 , , , 63372 2065 18 that that IN 63372 2065 19 it -PRON- PRP 63372 2065 20 is be VBZ 63372 2065 21 the the DT 63372 2065 22 geometry geometry NN 63372 2065 23 of of IN 63372 2065 24 " " `` 63372 2065 25 true true JJ 63372 2065 26 " " '' 63372 2065 27 space space NN 63372 2065 28 , , , 63372 2065 29 and and CC 63372 2065 30 this this DT 63372 2065 31 again again RB 63372 2065 32 , , , 63372 2065 33 if if IN 63372 2065 34 it -PRON- PRP 63372 2065 35 is be VBZ 63372 2065 36 to to TO 63372 2065 37 have have VB 63372 2065 38 any any DT 63372 2065 39 meaning meaning NN 63372 2065 40 at at RB 63372 2065 41 all all RB 63372 2065 42 , , , 63372 2065 43 can can MD 63372 2065 44 only only RB 63372 2065 45 mean mean VB 63372 2065 46 that that IN 63372 2065 47 it -PRON- PRP 63372 2065 48 corresponds correspond VBZ 63372 2065 49 to to IN 63372 2065 50 the the DT 63372 2065 51 physical physical JJ 63372 2065 52 " " `` 63372 2065 53 reality reality NN 63372 2065 54 . . . 63372 2065 55 " " '' 63372 2066 1 Leaving leave VBG 63372 2066 2 aside aside RB 63372 2066 3 the the DT 63372 2066 4 question question NN 63372 2066 5 whether whether IN 63372 2066 6 this this DT 63372 2066 7 reality reality NN 63372 2066 8 has have VBZ 63372 2066 9 any any DT 63372 2066 10 geometry geometry NN 63372 2066 11 at at RB 63372 2066 12 all all RB 63372 2066 13 , , , 63372 2066 14 we -PRON- PRP 63372 2066 15 are be VBP 63372 2066 16 confronted confront VBN 63372 2066 17 with with IN 63372 2066 18 the the DT 63372 2066 19 more more RBR 63372 2066 20 immediately immediately RB 63372 2066 21 practical practical JJ 63372 2066 22 consideration consideration NN 63372 2066 23 how how WRB 63372 2066 24 we -PRON- PRP 63372 2066 25 shall shall MD 63372 2066 26 verify verify VB 63372 2066 27 the the DT 63372 2066 28 asserted assert VBN 63372 2066 29 correspondence correspondence NN 63372 2066 30 . . . 63372 2067 1 There there EX 63372 2067 2 is be VBZ 63372 2067 3 no no DT 63372 2067 4 other other JJ 63372 2067 5 way way NN 63372 2067 6 than than IN 63372 2067 7 by by IN 63372 2067 8 comparing compare VBG 63372 2067 9 the the DT 63372 2067 10 conclusions conclusion NNS 63372 2067 11 derived derive VBN 63372 2067 12 from from IN 63372 2067 13 the the DT 63372 2067 14 laws law NNS 63372 2067 15 based base VBN 63372 2067 16 upon upon IN 63372 2067 17 our -PRON- PRP$ 63372 2067 18 geometry geometry NN 63372 2067 19 , , , 63372 2067 20 with with IN 63372 2067 21 observations observation NNS 63372 2067 22 . . . 63372 2068 1 It -PRON- PRP 63372 2068 2 thus thus RB 63372 2068 3 appears appear VBZ 63372 2068 4 that that IN 63372 2068 5 the the DT 63372 2068 6 only only JJ 63372 2068 7 justification justification NN 63372 2068 8 for for IN 63372 2068 9 the the DT 63372 2068 10 use use NN 63372 2068 11 of of IN 63372 2068 12 the the DT 63372 2068 13 Euclidean euclidean JJ 63372 2068 14 geometry geometry NN 63372 2068 15 is be VBZ 63372 2068 16 its -PRON- PRP$ 63372 2068 17 success success NN 63372 2068 18 in in IN 63372 2068 19 enabling enable VBG 63372 2068 20 us -PRON- PRP 63372 2068 21 to to TO 63372 2068 22 " " `` 63372 2068 23 draw draw VB 63372 2068 24 an an DT 63372 2068 25 accurate accurate JJ 63372 2068 26 map map NN 63372 2068 27 " " '' 63372 2068 28 of of IN 63372 2068 29 the the DT 63372 2068 30 world world NN 63372 2068 31 . . . 63372 2069 1 As as RB 63372 2069 2 soon soon RB 63372 2069 3 as as IN 63372 2069 4 any any DT 63372 2069 5 other other JJ 63372 2069 6 geometry geometry NN 63372 2069 7 is be VBZ 63372 2069 8 found find VBN 63372 2069 9 to to TO 63372 2069 10 be be VB 63372 2069 11 more more RBR 63372 2069 12 successful successful JJ 63372 2069 13 , , , 63372 2069 14 that that IN 63372 2069 15 other other JJ 63372 2069 16 must must MD 63372 2069 17 be be VB 63372 2069 18 used use VBN 63372 2069 19 in in IN 63372 2069 20 physical physical JJ 63372 2069 21 theories theory NNS 63372 2069 22 , , , 63372 2069 23 and and CC 63372 2069 24 we -PRON- PRP 63372 2069 25 may may MD 63372 2069 26 , , , 63372 2069 27 if if IN 63372 2069 28 we -PRON- PRP 63372 2069 29 like like VBP 63372 2069 30 , , , 63372 2069 31 call call VB 63372 2069 32 it -PRON- PRP 63372 2069 33 the the DT 63372 2069 34 " " `` 63372 2069 35 true true JJ 63372 2069 36 " " '' 63372 2069 37 one one NN 63372 2069 38 . . . 63372 2070 1 Accurate accurate JJ 63372 2070 2 observations observation NNS 63372 2070 3 always always RB 63372 2070 4 consist consist VBP 63372 2070 5 of of IN 63372 2070 6 measures measure NNS 63372 2070 7 , , , 63372 2070 8 determining determine VBG 63372 2070 9 the the DT 63372 2070 10 position position NN 63372 2070 11 of of IN 63372 2070 12 material material JJ 63372 2070 13 bodies body NNS 63372 2070 14 in in IN 63372 2070 15 space space NN 63372 2070 16 . . . 63372 2071 1 But but CC 63372 2071 2 the the DT 63372 2071 3 positions position NNS 63372 2071 4 change change VBP 63372 2071 5 , , , 63372 2071 6 and and CC 63372 2071 7 for for IN 63372 2071 8 a a DT 63372 2071 9 complete complete JJ 63372 2071 10 description description NN 63372 2071 11 we -PRON- PRP 63372 2071 12 also also RB 63372 2071 13 require require VBP 63372 2071 14 measures measure NNS 63372 2071 15 of of IN 63372 2071 16 time time NN 63372 2071 17 . . . 63372 2072 1 An an DT 63372 2072 2 important important JJ 63372 2072 3 remark remark NN 63372 2072 4 must must MD 63372 2072 5 be be VB 63372 2072 6 made make VBN 63372 2072 7 here here RB 63372 2072 8 . . . 63372 2073 1 Nobody nobody NN 63372 2073 2 has have VBZ 63372 2073 3 ever ever RB 63372 2073 4 measured measure VBN 63372 2073 5 a a DT 63372 2073 6 pure pure JJ 63372 2073 7 space space NN 63372 2073 8 - - HYPH 63372 2073 9 distance distance NN 63372 2073 10 , , , 63372 2073 11 nor nor CC 63372 2073 12 a a DT 63372 2073 13 pure pure JJ 63372 2073 14 lapse lapse NN 63372 2073 15 of of IN 63372 2073 16 time time NN 63372 2073 17 . . . 63372 2074 1 The the DT 63372 2074 2 only only JJ 63372 2074 3 thing thing NN 63372 2074 4 that that WDT 63372 2074 5 can can MD 63372 2074 6 be be VB 63372 2074 7 measured measure VBN 63372 2074 8 is be VBZ 63372 2074 9 the the DT 63372 2074 10 distance distance NN 63372 2074 11 from from IN 63372 2074 12 a a DT 63372 2074 13 body body NN 63372 2074 14 at at IN 63372 2074 15 a a DT 63372 2074 16 certain certain JJ 63372 2074 17 point point NN 63372 2074 18 of of IN 63372 2074 19 space space NN 63372 2074 20 and and CC 63372 2074 21 a a DT 63372 2074 22 certain certain JJ 63372 2074 23 moment moment NN 63372 2074 24 of of IN 63372 2074 25 time time NN 63372 2074 26 , , , 63372 2074 27 to to IN 63372 2074 28 a a DT 63372 2074 29 body body NN 63372 2074 30 ( ( -LRB- 63372 2074 31 either either CC 63372 2074 32 the the DT 63372 2074 33 same same JJ 63372 2074 34 or or CC 63372 2074 35 another another DT 63372 2074 36 ) ) -RRB- 63372 2074 37 at at IN 63372 2074 38 another another DT 63372 2074 39 point point NN 63372 2074 40 and and CC 63372 2074 41 another another DT 63372 2074 42 time time NN 63372 2074 43 . . . 63372 2075 1 We -PRON- PRP 63372 2075 2 can can MD 63372 2075 3 even even RB 63372 2075 4 go go VB 63372 2075 5 further far RBR 63372 2075 6 and and CC 63372 2075 7 say say VB 63372 2075 8 that that DT 63372 2075 9 time time NN 63372 2075 10 can can MD 63372 2075 11 not not RB 63372 2075 12 be be VB 63372 2075 13 measured measure VBN 63372 2075 14 at at RB 63372 2075 15 all all RB 63372 2075 16 . . . 63372 2076 1 We -PRON- PRP 63372 2076 2 profess profess VBP 63372 2076 3 to to TO 63372 2076 4 measure measure VB 63372 2076 5 it -PRON- PRP 63372 2076 6 by by IN 63372 2076 7 clocks clock NNS 63372 2076 8 . . . 63372 2077 1 But but CC 63372 2077 2 a a DT 63372 2077 3 clock clock NN 63372 2077 4 really really RB 63372 2077 5 measures measure VBZ 63372 2077 6 space space NN 63372 2077 7 , , , 63372 2077 8 and and CC 63372 2077 9 we -PRON- PRP 63372 2077 10 derive derive VBP 63372 2077 11 the the DT 63372 2077 12 time time NN 63372 2077 13 from from IN 63372 2077 14 its -PRON- PRP$ 63372 2077 15 space space NN 63372 2077 16 - - HYPH 63372 2077 17 measures measure NNS 63372 2077 18 by by IN 63372 2077 19 a a DT 63372 2077 20 fixed fix VBN 63372 2077 21 rule rule NN 63372 2077 22 . . . 63372 2078 1 This this DT 63372 2078 2 rule rule NN 63372 2078 3 depends depend VBZ 63372 2078 4 on on IN 63372 2078 5 the the DT 63372 2078 6 laws law NNS 63372 2078 7 of of IN 63372 2078 8 motion motion NN 63372 2078 9 of of IN 63372 2078 10 the the DT 63372 2078 11 mechanism mechanism NN 63372 2078 12 of of IN 63372 2078 13 the the DT 63372 2078 14 clock clock NN 63372 2078 15 . . . 63372 2079 1 Thus thus RB 63372 2079 2 finally finally RB 63372 2079 3 time time NN 63372 2079 4 is be VBZ 63372 2079 5 defined define VBN 63372 2079 6 by by IN 63372 2079 7 these these DT 63372 2079 8 laws law NNS 63372 2079 9 . . . 63372 2080 1 This this DT 63372 2080 2 is be VBZ 63372 2080 3 so so RB 63372 2080 4 , , , 63372 2080 5 whether whether IN 63372 2080 6 as as IN 63372 2080 7 a a DT 63372 2080 8 " " `` 63372 2080 9 clock clock NN 63372 2080 10 " " '' 63372 2080 11 we -PRON- PRP 63372 2080 12 use use VBP 63372 2080 13 an an DT 63372 2080 14 ordinary ordinary JJ 63372 2080 15 chronometer chronometer NN 63372 2080 16 , , , 63372 2080 17 or or CC 63372 2080 18 the the DT 63372 2080 19 rotating rotate VBG 63372 2080 20 earth earth NN 63372 2080 21 , , , 63372 2080 22 or or CC 63372 2080 23 an an DT 63372 2080 24 atom atom JJ 63372 2080 25 emitting emit VBG 63372 2080 26 light light NN 63372 2080 27 - - HYPH 63372 2080 28 waves wave NNS 63372 2080 29 , , , 63372 2080 30 or or CC 63372 2080 31 anything anything NN 63372 2080 32 else else RB 63372 2080 33 that that WDT 63372 2080 34 may may MD 63372 2080 35 be be VB 63372 2080 36 suggested suggest VBN 63372 2080 37 . . . 63372 2081 1 The the DT 63372 2081 2 physical physical JJ 63372 2081 3 laws law NNS 63372 2081 4 , , , 63372 2081 5 of of IN 63372 2081 6 course course NN 63372 2081 7 , , , 63372 2081 8 must must MD 63372 2081 9 be be VB 63372 2081 10 so so RB 63372 2081 11 adjusted adjust VBN 63372 2081 12 that that IN 63372 2081 13 all all PDT 63372 2081 14 these these DT 63372 2081 15 devices device NNS 63372 2081 16 give give VBP 63372 2081 17 the the DT 63372 2081 18 same same JJ 63372 2081 19 time time NN 63372 2081 20 . . . 63372 2082 1 About about IN 63372 2082 2 the the DT 63372 2082 3 reality reality NN 63372 2082 4 of of IN 63372 2082 5 time time NN 63372 2082 6 , , , 63372 2082 7 if if IN 63372 2082 8 it -PRON- PRP 63372 2082 9 has have VBZ 63372 2082 10 any any DT 63372 2082 11 , , , 63372 2082 12 we -PRON- PRP 63372 2082 13 know know VBP 63372 2082 14 nothing nothing NN 63372 2082 15 . . . 63372 2083 1 All all DT 63372 2083 2 we -PRON- PRP 63372 2083 3 know know VBP 63372 2083 4 about about IN 63372 2083 5 time time NN 63372 2083 6 is be VBZ 63372 2083 7 that that IN 63372 2083 8 we -PRON- PRP 63372 2083 9 want want VBP 63372 2083 10 it -PRON- PRP 63372 2083 11 . . . 63372 2084 1 We -PRON- PRP 63372 2084 2 can can MD 63372 2084 3 not not RB 63372 2084 4 adequately adequately RB 63372 2084 5 describe describe VB 63372 2084 6 nature nature NN 63372 2084 7 with with IN 63372 2084 8 the the DT 63372 2084 9 three three CD 63372 2084 10 space space NN 63372 2084 11 - - HYPH 63372 2084 12 coordinates coordinate VBZ 63372 2084 13 alone alone RB 63372 2084 14 , , , 63372 2084 15 we -PRON- PRP 63372 2084 16 require require VBP 63372 2084 17 a a DT 63372 2084 18 fourth fourth JJ 63372 2084 19 one one NN 63372 2084 20 , , , 63372 2084 21 which which WDT 63372 2084 22 we -PRON- PRP 63372 2084 23 call call VBP 63372 2084 24 time time NN 63372 2084 25 . . . 63372 2085 1 We -PRON- PRP 63372 2085 2 might may MD 63372 2085 3 thus thus RB 63372 2085 4 say say VB 63372 2085 5 with with IN 63372 2085 6 some some DT 63372 2085 7 reason reason NN 63372 2085 8 that that IN 63372 2085 9 the the DT 63372 2085 10 physical physical JJ 63372 2085 11 world world NN 63372 2085 12 has have VBZ 63372 2085 13 four four CD 63372 2085 14 dimensions dimension NNS 63372 2085 15 . . . 63372 2086 1 But but CC 63372 2086 2 so so RB 63372 2086 3 long long RB 63372 2086 4 as as IN 63372 2086 5 it -PRON- PRP 63372 2086 6 was be VBD 63372 2086 7 found find VBN 63372 2086 8 possible possible JJ 63372 2086 9 adequately adequately RB 63372 2086 10 to to TO 63372 2086 11 describe describe VB 63372 2086 12 all all DT 63372 2086 13 known know VBN 63372 2086 14 phenomena phenomenon NNS 63372 2086 15 by by IN 63372 2086 16 a a DT 63372 2086 17 space space NN 63372 2086 18 of of IN 63372 2086 19 three three CD 63372 2086 20 dimensions dimension NNS 63372 2086 21 and and CC 63372 2086 22 an an DT 63372 2086 23 independent independent JJ 63372 2086 24 time time NN 63372 2086 25 , , , 63372 2086 26 the the DT 63372 2086 27 statement statement NN 63372 2086 28 did do VBD 63372 2086 29 not not RB 63372 2086 30 convey convey VB 63372 2086 31 any any DT 63372 2086 32 very very RB 63372 2086 33 important important JJ 63372 2086 34 information information NN 63372 2086 35 . . . 63372 2087 1 Only only RB 63372 2087 2 after after IN 63372 2087 3 it -PRON- PRP 63372 2087 4 had have VBD 63372 2087 5 been be VBN 63372 2087 6 found find VBN 63372 2087 7 out out RP 63372 2087 8 that that IN 63372 2087 9 the the DT 63372 2087 10 space space NN 63372 2087 11 - - HYPH 63372 2087 12 coordinates coordinate NNS 63372 2087 13 and and CC 63372 2087 14 the the DT 63372 2087 15 time time NN 63372 2087 16 are be VBP 63372 2087 17 not not RB 63372 2087 18 independent independent JJ 63372 2087 19 , , , 63372 2087 20 did do VBD 63372 2087 21 it -PRON- PRP 63372 2087 22 acquire acquire VB 63372 2087 23 a a DT 63372 2087 24 real real JJ 63372 2087 25 meaning meaning NN 63372 2087 26 . . . 63372 2088 1 As as IN 63372 2088 2 is be VBZ 63372 2088 3 well well RB 63372 2088 4 known know VBN 63372 2088 5 the the DT 63372 2088 6 observation observation NN 63372 2088 7 by by IN 63372 2088 8 which which WDT 63372 2088 9 this this DT 63372 2088 10 was be VBD 63372 2088 11 found find VBN 63372 2088 12 out out RP 63372 2088 13 is be VBZ 63372 2088 14 the the DT 63372 2088 15 famous famous JJ 63372 2088 16 experiment experiment NN 63372 2088 17 of of IN 63372 2088 18 Michelson Michelson NNP 63372 2088 19 and and CC 63372 2088 20 Morley Morley NNP 63372 2088 21 . . . 63372 2089 1 It -PRON- PRP 63372 2089 2 led lead VBD 63372 2089 3 to to IN 63372 2089 4 the the DT 63372 2089 5 " " `` 63372 2089 6 special special JJ 63372 2089 7 " " '' 63372 2089 8 theory theory NN 63372 2089 9 of of IN 63372 2089 10 relativity relativity NN 63372 2089 11 , , , 63372 2089 12 which which WDT 63372 2089 13 is be VBZ 63372 2089 14 the the DT 63372 2089 15 one one CD 63372 2089 16 referred refer VBN 63372 2089 17 to to IN 63372 2089 18 by by IN 63372 2089 19 Minkowski Minkowski NNP 63372 2089 20 in in IN 63372 2089 21 1908 1908 CD 63372 2089 22 . . . 63372 2090 1 In in IN 63372 2090 2 it -PRON- PRP 63372 2090 3 a a DT 63372 2090 4 geometry geometry NN 63372 2090 5 of of IN 63372 2090 6 four four CD 63372 2090 7 dimensions dimension NNS 63372 2090 8 is be VBZ 63372 2090 9 used use VBN 63372 2090 10 , , , 63372 2090 11 not not RB 63372 2090 12 a a DT 63372 2090 13 mere mere JJ 63372 2090 14 combination combination NN 63372 2090 15 of of IN 63372 2090 16 a a DT 63372 2090 17 three three CD 63372 2090 18 - - HYPH 63372 2090 19 dimensional dimensional JJ 63372 2090 20 space space NN 63372 2090 21 and and CC 63372 2090 22 a a DT 63372 2090 23 one one CD 63372 2090 24 - - HYPH 63372 2090 25 dimensional dimensional JJ 63372 2090 26 time time NN 63372 2090 27 , , , 63372 2090 28 but but CC 63372 2090 29 a a DT 63372 2090 30 continuum continuum NN 63372 2090 31 of of IN 63372 2090 32 truly truly RB 63372 2090 33 fourfold fourfold JJ 63372 2090 34 order order NN 63372 2090 35 . . . 63372 2091 1 This this DT 63372 2091 2 time time NN 63372 2091 3 - - HYPH 63372 2091 4 space space NN 63372 2091 5 is be VBZ 63372 2091 6 not not RB 63372 2091 7 Euclidean euclidean JJ 63372 2091 8 , , , 63372 2091 9 since since IN 63372 2091 10 the the DT 63372 2091 11 time time NN 63372 2091 12 - - HYPH 63372 2091 13 component component NN 63372 2091 14 and and CC 63372 2091 15 the the DT 63372 2091 16 three three CD 63372 2091 17 space space NN 63372 2091 18 - - HYPH 63372 2091 19 components component NNS 63372 2091 20 are be VBP 63372 2091 21 not not RB 63372 2091 22 on on IN 63372 2091 23 the the DT 63372 2091 24 same same JJ 63372 2091 25 footing footing NN 63372 2091 26 , , , 63372 2091 27 but but CC 63372 2091 28 its -PRON- PRP$ 63372 2091 29 fundamental fundamental JJ 63372 2091 30 formula formula NN 63372 2091 31 has have VBZ 63372 2091 32 a a DT 63372 2091 33 great great JJ 63372 2091 34 resemblance resemblance NN 63372 2091 35 to to IN 63372 2091 36 that that DT 63372 2091 37 of of IN 63372 2091 38 Euclidean euclidean JJ 63372 2091 39 geometry geometry NN 63372 2091 40 . . . 63372 2092 1 We -PRON- PRP 63372 2092 2 may may MD 63372 2092 3 call call VB 63372 2092 4 it -PRON- PRP 63372 2092 5 " " `` 63372 2092 6 pseudo pseudo NN 63372 2092 7 - - NN 63372 2092 8 Euclidean euclidean JJ 63372 2092 9 . . . 63372 2092 10 " " '' 63372 2093 1 This this DT 63372 2093 2 theory theory NN 63372 2093 3 , , , 63372 2093 4 which which WDT 63372 2093 5 we -PRON- PRP 63372 2093 6 need need VBP 63372 2093 7 not not RB 63372 2093 8 explain explain VB 63372 2093 9 here here RB 63372 2093 10 , , , 63372 2093 11 was be VBD 63372 2093 12 very very RB 63372 2093 13 satisfactory satisfactory JJ 63372 2093 14 so so RB 63372 2093 15 far far RB 63372 2093 16 as as IN 63372 2093 17 the the DT 63372 2093 18 laws law NNS 63372 2093 19 of of IN 63372 2093 20 electromagnetism electromagnetism NN 63372 2093 21 , , , 63372 2093 22 and and CC 63372 2093 23 especially especially RB 63372 2093 24 the the DT 63372 2093 25 propagation propagation NN 63372 2093 26 of of IN 63372 2093 27 light light NN 63372 2093 28 , , , 63372 2093 29 were be VBD 63372 2093 30 concerned concern VBN 63372 2093 31 , , , 63372 2093 32 but but CC 63372 2093 33 it -PRON- PRP 63372 2093 34 did do VBD 63372 2093 35 not not RB 63372 2093 36 include include VB 63372 2093 37 gravitation gravitation NN 63372 2093 38 , , , 63372 2093 39 and and CC 63372 2093 40 mechanics mechanic NNS 63372 2093 41 generally generally RB 63372 2093 42 . . . 63372 2094 1 We -PRON- PRP 63372 2094 2 then then RB 63372 2094 3 had have VBD 63372 2094 4 this this DT 63372 2094 5 curious curious JJ 63372 2094 6 state state NN 63372 2094 7 of of IN 63372 2094 8 affairs affair NNS 63372 2094 9 , , , 63372 2094 10 that that WDT 63372 2094 11 physicists physicist NNS 63372 2094 12 actually actually RB 63372 2094 13 believed believe VBD 63372 2094 14 in in IN 63372 2094 15 two two CD 63372 2094 16 different different JJ 63372 2094 17 " " `` 63372 2094 18 realities reality NNS 63372 2094 19 . . . 63372 2094 20 " " '' 63372 2095 1 When when WRB 63372 2095 2 they -PRON- PRP 63372 2095 3 were be VBD 63372 2095 4 thinking think VBG 63372 2095 5 of of IN 63372 2095 6 light light NN 63372 2095 7 they -PRON- PRP 63372 2095 8 believed believe VBD 63372 2095 9 in in IN 63372 2095 10 Minkowski Minkowski NNP 63372 2095 11 's 's POS 63372 2095 12 time time NN 63372 2095 13 - - HYPH 63372 2095 14 space space NN 63372 2095 15 ; ; : 63372 2095 16 when when WRB 63372 2095 17 they -PRON- PRP 63372 2095 18 were be VBD 63372 2095 19 thinking think VBG 63372 2095 20 of of IN 63372 2095 21 gravitation gravitation NN 63372 2095 22 they -PRON- PRP 63372 2095 23 believed believe VBD 63372 2095 24 in in IN 63372 2095 25 the the DT 63372 2095 26 old old JJ 63372 2095 27 Euclidean euclidean JJ 63372 2095 28 space space NN 63372 2095 29 and and CC 63372 2095 30 independent independent JJ 63372 2095 31 time time NN 63372 2095 32 . . . 63372 2096 1 This this DT 63372 2096 2 , , , 63372 2096 3 of of IN 63372 2096 4 course course NN 63372 2096 5 , , , 63372 2096 6 could could MD 63372 2096 7 not not RB 63372 2096 8 last last VB 63372 2096 9 . . . 63372 2097 1 Attempts attempt NNS 63372 2097 2 were be VBD 63372 2097 3 made make VBN 63372 2097 4 so so RB 63372 2097 5 to to TO 63372 2097 6 alter alter VB 63372 2097 7 Newton Newton NNP 63372 2097 8 's 's POS 63372 2097 9 law law NN 63372 2097 10 of of IN 63372 2097 11 gravitation gravitation NN 63372 2097 12 that that IN 63372 2097 13 it -PRON- PRP 63372 2097 14 would would MD 63372 2097 15 fit fit VB 63372 2097 16 into into IN 63372 2097 17 the the DT 63372 2097 18 four four CD 63372 2097 19 - - HYPH 63372 2097 20 dimensional dimensional JJ 63372 2097 21 world world NN 63372 2097 22 of of IN 63372 2097 23 the the DT 63372 2097 24 special special JJ 63372 2097 25 relativity relativity NN 63372 2097 26 - - HYPH 63372 2097 27 theory theory NN 63372 2097 28 , , , 63372 2097 29 but but CC 63372 2097 30 these these DT 63372 2097 31 only only RB 63372 2097 32 succeeded succeed VBD 63372 2097 33 in in IN 63372 2097 34 making make VBG 63372 2097 35 the the DT 63372 2097 36 law law NN 63372 2097 37 , , , 63372 2097 38 which which WDT 63372 2097 39 had have VBD 63372 2097 40 been be VBN 63372 2097 41 a a DT 63372 2097 42 model model NN 63372 2097 43 of of IN 63372 2097 44 simplicity simplicity NN 63372 2097 45 , , , 63372 2097 46 extremely extremely RB 63372 2097 47 complicated complicated JJ 63372 2097 48 , , , 63372 2097 49 and and CC 63372 2097 50 , , , 63372 2097 51 what what WP 63372 2097 52 was be VBD 63372 2097 53 worse bad JJR 63372 2097 54 , , , 63372 2097 55 it -PRON- PRP 63372 2097 56 became become VBD 63372 2097 57 ambiguous ambiguous JJ 63372 2097 58 . . . 63372 2098 1 It -PRON- PRP 63372 2098 2 is be VBZ 63372 2098 3 Einstein Einstein NNP 63372 2098 4 's 's POS 63372 2098 5 great great JJ 63372 2098 6 merit merit NN 63372 2098 7 to to TO 63372 2098 8 have have VB 63372 2098 9 perceived perceive VBN 63372 2098 10 that that DT 63372 2098 11 gravitation gravitation NN 63372 2098 12 is be VBZ 63372 2098 13 of of IN 63372 2098 14 such such JJ 63372 2098 15 fundamental fundamental JJ 63372 2098 16 importance importance NN 63372 2098 17 , , , 63372 2098 18 that that IN 63372 2098 19 it -PRON- PRP 63372 2098 20 must must MD 63372 2098 21 not not RB 63372 2098 22 be be VB 63372 2098 23 fitted fit VBN 63372 2098 24 into into IN 63372 2098 25 a a DT 63372 2098 26 ready ready RB 63372 2098 27 - - HYPH 63372 2098 28 made make VBN 63372 2098 29 theory theory NN 63372 2098 30 , , , 63372 2098 31 but but CC 63372 2098 32 must must MD 63372 2098 33 be be VB 63372 2098 34 woven weave VBN 63372 2098 35 into into IN 63372 2098 36 the the DT 63372 2098 37 space space NN 63372 2098 38 - - HYPH 63372 2098 39 time time NN 63372 2098 40 geometry geometry NN 63372 2098 41 from from IN 63372 2098 42 the the DT 63372 2098 43 beginning beginning NN 63372 2098 44 . . . 63372 2099 1 And and CC 63372 2099 2 that that IN 63372 2099 3 he -PRON- PRP 63372 2099 4 not not RB 63372 2099 5 only only RB 63372 2099 6 saw see VBD 63372 2099 7 the the DT 63372 2099 8 necessity necessity NN 63372 2099 9 of of IN 63372 2099 10 doing do VBG 63372 2099 11 this this DT 63372 2099 12 , , , 63372 2099 13 but but CC 63372 2099 14 actually actually RB 63372 2099 15 did do VBD 63372 2099 16 it -PRON- PRP 63372 2099 17 . . . 63372 2100 1 GRAVITATION GRAVITATION NNP 63372 2100 2 AND and CC 63372 2100 3 ITS its PRP$ 63372 2100 4 PLACE place NN 63372 2100 5 IN in IN 63372 2100 6 THE the DT 63372 2100 7 UNIVERSE universe NN 63372 2100 8 To to TO 63372 2100 9 see see VB 63372 2100 10 the the DT 63372 2100 11 necessity necessity NN 63372 2100 12 we -PRON- PRP 63372 2100 13 must must MD 63372 2100 14 go go VB 63372 2100 15 back back RB 63372 2100 16 to to IN 63372 2100 17 Newton Newton NNP 63372 2100 18 's 's POS 63372 2100 19 system system NN 63372 2100 20 of of IN 63372 2100 21 mechanics mechanic NNS 63372 2100 22 . . . 63372 2101 1 Newton Newton NNP 63372 2101 2 did do VBD 63372 2101 3 two two CD 63372 2101 4 things thing NNS 63372 2101 5 ( ( -LRB- 63372 2101 6 amongst amongst IN 63372 2101 7 others other NNS 63372 2101 8 ) ) -RRB- 63372 2101 9 . . . 63372 2102 1 He -PRON- PRP 63372 2102 2 canonised canonise VBD 63372 2102 3 Galileo Galileo NNP 63372 2102 4 's 's POS 63372 2102 5 system system NN 63372 2102 6 of of IN 63372 2102 7 mechanics mechanic NNS 63372 2102 8 into into IN 63372 2102 9 his -PRON- PRP$ 63372 2102 10 famous famous JJ 63372 2102 11 " " '' 63372 2102 12 laws law NNS 63372 2102 13 of of IN 63372 2102 14 motion motion NN 63372 2102 15 , , , 63372 2102 16 " " '' 63372 2102 17 the the DT 63372 2102 18 most most RBS 63372 2102 19 important important JJ 63372 2102 20 of of IN 63372 2102 21 which which WDT 63372 2102 22 is be VBZ 63372 2102 23 the the DT 63372 2102 24 law law NN 63372 2102 25 of of IN 63372 2102 26 inertia inertia NN 63372 2102 27 , , , 63372 2102 28 which which WDT 63372 2102 29 says say VBZ 63372 2102 30 that that IN 63372 2102 31 : : : 63372 2102 32 a a DT 63372 2102 33 body body NN 63372 2102 34 , , , 63372 2102 35 that that WDT 63372 2102 36 is be VBZ 63372 2102 37 not not RB 63372 2102 38 interfered interfere VBN 63372 2102 39 with with IN 63372 2102 40 , , , 63372 2102 41 moves move NNS 63372 2102 42 in in IN 63372 2102 43 a a DT 63372 2102 44 straight straight JJ 63372 2102 45 line line NN 63372 2102 46 with with IN 63372 2102 47 constant constant JJ 63372 2102 48 velocity velocity NN 63372 2102 49 . . . 63372 2103 1 The the DT 63372 2103 2 velocity velocity NN 63372 2103 3 , , , 63372 2103 4 of of IN 63372 2103 5 course course NN 63372 2103 6 , , , 63372 2103 7 can can MD 63372 2103 8 be be VB 63372 2103 9 nil nil NNP 63372 2103 10 , , , 63372 2103 11 and and CC 63372 2103 12 the the DT 63372 2103 13 body body NN 63372 2103 14 at at IN 63372 2103 15 rest rest NN 63372 2103 16 . . . 63372 2104 1 This this DT 63372 2104 2 is be VBZ 63372 2104 3 a a DT 63372 2104 4 perfectly perfectly RB 63372 2104 5 general general JJ 63372 2104 6 law law NN 63372 2104 7 , , , 63372 2104 8 the the DT 63372 2104 9 same same JJ 63372 2104 10 for for IN 63372 2104 11 all all DT 63372 2104 12 material material NN 63372 2104 13 bodies body NNS 63372 2104 14 , , , 63372 2104 15 whatever whatever WDT 63372 2104 16 their -PRON- PRP$ 63372 2104 17 physical physical JJ 63372 2104 18 or or CC 63372 2104 19 chemical chemical NN 63372 2104 20 status status NN 63372 2104 21 . . . 63372 2105 1 Newton Newton NNP 63372 2105 2 took take VBD 63372 2105 3 good good JJ 63372 2105 4 care care NN 63372 2105 5 exactly exactly RB 63372 2105 6 to to TO 63372 2105 7 define define VB 63372 2105 8 what what WP 63372 2105 9 he -PRON- PRP 63372 2105 10 meant mean VBD 63372 2105 11 by by IN 63372 2105 12 uniform uniform JJ 63372 2105 13 motion motion NN 63372 2105 14 in in IN 63372 2105 15 a a DT 63372 2105 16 straight straight JJ 63372 2105 17 line line NN 63372 2105 18 , , , 63372 2105 19 and and CC 63372 2105 20 for for IN 63372 2105 21 this this DT 63372 2105 22 purpose purpose NN 63372 2105 23 he -PRON- PRP 63372 2105 24 introduced introduce VBD 63372 2105 25 the the DT 63372 2105 26 absolute absolute JJ 63372 2105 27 Euclidean euclidean JJ 63372 2105 28 space space NN 63372 2105 29 and and CC 63372 2105 30 absolute absolute JJ 63372 2105 31 time time NN 63372 2105 32 as as IN 63372 2105 33 an an DT 63372 2105 34 essential essential JJ 63372 2105 35 part part NN 63372 2105 36 of of IN 63372 2105 37 his -PRON- PRP$ 63372 2105 38 system system NN 63372 2105 39 of of IN 63372 2105 40 laws law NNS 63372 2105 41 at at IN 63372 2105 42 the the DT 63372 2105 43 very very JJ 63372 2105 44 beginning beginning NN 63372 2105 45 of of IN 63372 2105 46 his -PRON- PRP$ 63372 2105 47 great great JJ 63372 2105 48 work work NN 63372 2105 49 . . . 63372 2106 1 The the DT 63372 2106 2 other other JJ 63372 2106 3 thing thing NN 63372 2106 4 Newton Newton NNP 63372 2106 5 did do VBD 63372 2106 6 was be VBD 63372 2106 7 to to TO 63372 2106 8 formulate formulate VB 63372 2106 9 the the DT 63372 2106 10 law law NN 63372 2106 11 of of IN 63372 2106 12 gravitation gravitation NN 63372 2106 13 . . . 63372 2107 1 Gravitation Gravitation NNP 63372 2107 2 was be VBD 63372 2107 3 in in IN 63372 2107 4 his -PRON- PRP$ 63372 2107 5 system system NN 63372 2107 6 considered consider VBN 63372 2107 7 as as IN 63372 2107 8 an an DT 63372 2107 9 interference interference NN 63372 2107 10 with with IN 63372 2107 11 the the DT 63372 2107 12 free free JJ 63372 2107 13 , , , 63372 2107 14 or or CC 63372 2107 15 inertial inertial NN 63372 2107 16 , , , 63372 2107 17 motion motion NN 63372 2107 18 of of IN 63372 2107 19 bodies body NNS 63372 2107 20 , , , 63372 2107 21 and and CC 63372 2107 22 accordingly accordingly RB 63372 2107 23 required require VBD 63372 2107 24 a a DT 63372 2107 25 law law NN 63372 2107 26 of of IN 63372 2107 27 its -PRON- PRP$ 63372 2107 28 own own JJ 63372 2107 29 . . . 63372 2108 1 But but CC 63372 2108 2 gravitation gravitation NN 63372 2108 3 has have VBZ 63372 2108 4 this this DT 63372 2108 5 in in IN 63372 2108 6 common common JJ 63372 2108 7 with with IN 63372 2108 8 inertia inertia NN 63372 2108 9 , , , 63372 2108 10 and and CC 63372 2108 11 in in IN 63372 2108 12 this this DT 63372 2108 13 it -PRON- PRP 63372 2108 14 differs differ VBZ 63372 2108 15 from from IN 63372 2108 16 all all DT 63372 2108 17 other other JJ 63372 2108 18 interferences interference NNS 63372 2108 19 , , , 63372 2108 20 that that IN 63372 2108 21 it -PRON- PRP 63372 2108 22 is be VBZ 63372 2108 23 perfectly perfectly RB 63372 2108 24 general general JJ 63372 2108 25 . . . 63372 2109 1 All all DT 63372 2109 2 material material NN 63372 2109 3 bodies body NNS 63372 2109 4 are be VBP 63372 2109 5 equally equally RB 63372 2109 6 subjected subject VBN 63372 2109 7 to to IN 63372 2109 8 it -PRON- PRP 63372 2109 9 , , , 63372 2109 10 whatever whatever WDT 63372 2109 11 their -PRON- PRP$ 63372 2109 12 physical physical JJ 63372 2109 13 or or CC 63372 2109 14 chemical chemical NN 63372 2109 15 status status NN 63372 2109 16 may may MD 63372 2109 17 be be VB 63372 2109 18 . . . 63372 2110 1 But but CC 63372 2110 2 there there EX 63372 2110 3 is be VBZ 63372 2110 4 more more JJR 63372 2110 5 . . . 63372 2111 1 Gravitation gravitation NN 63372 2111 2 and and CC 63372 2111 3 inertia inertia NN 63372 2111 4 are be VBP 63372 2111 5 actually actually RB 63372 2111 6 indistinguishable indistinguishable JJ 63372 2111 7 from from IN 63372 2111 8 each each DT 63372 2111 9 other other JJ 63372 2111 10 , , , 63372 2111 11 and and CC 63372 2111 12 are be VBP 63372 2111 13 measured measure VBN 63372 2111 14 by by IN 63372 2111 15 the the DT 63372 2111 16 same same JJ 63372 2111 17 number number NN 63372 2111 18 : : : 63372 2111 19 the the DT 63372 2111 20 " " `` 63372 2111 21 mass mass NN 63372 2111 22 " " '' 63372 2111 23 . . . 63372 2112 1 This this DT 63372 2112 2 was be VBD 63372 2112 3 already already RB 63372 2112 4 remarked remark VBN 63372 2112 5 by by IN 63372 2112 6 Newton Newton NNP 63372 2112 7 himself -PRON- PRP 63372 2112 8 , , , 63372 2112 9 and and CC 63372 2112 10 from from IN 63372 2112 11 his -PRON- PRP$ 63372 2112 12 point point NN 63372 2112 13 of of IN 63372 2112 14 view view NN 63372 2112 15 it -PRON- PRP 63372 2112 16 was be VBD 63372 2112 17 a a DT 63372 2112 18 most most RBS 63372 2112 19 wonderful wonderful JJ 63372 2112 20 accidental accidental JJ 63372 2112 21 coincidence coincidence NN 63372 2112 22 . . . 63372 2113 1 If if IN 63372 2113 2 an an DT 63372 2113 3 apple apple NN 63372 2113 4 falls fall VBZ 63372 2113 5 from from IN 63372 2113 6 the the DT 63372 2113 7 tree tree NN 63372 2113 8 , , , 63372 2113 9 that that WDT 63372 2113 10 which which WDT 63372 2113 11 makes make VBZ 63372 2113 12 it -PRON- PRP 63372 2113 13 fall fall VB 63372 2113 14 is be VBZ 63372 2113 15 its -PRON- PRP$ 63372 2113 16 weight weight NN 63372 2113 17 , , , 63372 2113 18 which which WDT 63372 2113 19 is be VBZ 63372 2113 20 the the DT 63372 2113 21 gravitational gravitational JJ 63372 2113 22 attraction attraction NN 63372 2113 23 by by IN 63372 2113 24 the the DT 63372 2113 25 earth earth NN 63372 2113 26 , , , 63372 2113 27 diminished diminish VBN 63372 2113 28 by by IN 63372 2113 29 the the DT 63372 2113 30 centrifugal centrifugal JJ 63372 2113 31 force force NN 63372 2113 32 due due IN 63372 2113 33 to to IN 63372 2113 34 the the DT 63372 2113 35 earth earth NN 63372 2113 36 's 's POS 63372 2113 37 rotation rotation NN 63372 2113 38 and and CC 63372 2113 39 the the DT 63372 2113 40 apple apple NN 63372 2113 41 's 's POS 63372 2113 42 inertia inertia NN 63372 2113 43 . . . 63372 2114 1 In in IN 63372 2114 2 Newton Newton NNP 63372 2114 3 's 's POS 63372 2114 4 system system NN 63372 2114 5 the the DT 63372 2114 6 gravitational gravitational JJ 63372 2114 7 attraction attraction NN 63372 2114 8 is be VBZ 63372 2114 9 a a DT 63372 2114 10 " " `` 63372 2114 11 real real JJ 63372 2114 12 " " '' 63372 2114 13 force force NN 63372 2114 14 , , , 63372 2114 15 whereas whereas IN 63372 2114 16 the the DT 63372 2114 17 centrifugal centrifugal JJ 63372 2114 18 force force NN 63372 2114 19 is be VBZ 63372 2114 20 only only RB 63372 2114 21 " " `` 63372 2114 22 fictitious fictitious JJ 63372 2114 23 " " '' 63372 2114 24 . . . 63372 2115 1 But but CC 63372 2115 2 the the DT 63372 2115 3 one one NN 63372 2115 4 is be VBZ 63372 2115 5 as as RB 63372 2115 6 real real JJ 63372 2115 7 as as IN 63372 2115 8 the the DT 63372 2115 9 other other JJ 63372 2115 10 . . . 63372 2116 1 The the DT 63372 2116 2 most most RBS 63372 2116 3 refined refined JJ 63372 2116 4 experiments experiment NNS 63372 2116 5 , , , 63372 2116 6 already already RB 63372 2116 7 begun begin VBN 63372 2116 8 by by IN 63372 2116 9 Newton Newton NNP 63372 2116 10 himself -PRON- PRP 63372 2116 11 , , , 63372 2116 12 have have VBP 63372 2116 13 not not RB 63372 2116 14 succeeded succeed VBN 63372 2116 15 in in IN 63372 2116 16 distinguishing distinguish VBG 63372 2116 17 between between IN 63372 2116 18 them -PRON- PRP 63372 2116 19 . . . 63372 2117 1 Their -PRON- PRP$ 63372 2117 2 identity identity NN 63372 2117 3 is be VBZ 63372 2117 4 actually actually RB 63372 2117 5 one one CD 63372 2117 6 of of IN 63372 2117 7 the the DT 63372 2117 8 best well RBS 63372 2117 9 established establish VBN 63372 2117 10 facts fact NNS 63372 2117 11 in in IN 63372 2117 12 experimental experimental JJ 63372 2117 13 physics physics NN 63372 2117 14 . . . 63372 2118 1 From from IN 63372 2118 2 this this DT 63372 2118 3 identity identity NN 63372 2118 4 of of IN 63372 2118 5 " " `` 63372 2118 6 fictitious fictitious JJ 63372 2118 7 , , , 63372 2118 8 " " '' 63372 2118 9 or or CC 63372 2118 10 inertial inertial NN 63372 2118 11 , , , 63372 2118 12 and and CC 63372 2118 13 " " `` 63372 2118 14 real real JJ 63372 2118 15 , , , 63372 2118 16 " " '' 63372 2118 17 or or CC 63372 2118 18 gravitational gravitational JJ 63372 2118 19 , , , 63372 2118 20 forces force VBZ 63372 2118 21 it -PRON- PRP 63372 2118 22 follows follow VBZ 63372 2118 23 that that IN 63372 2118 24 locally locally RB 63372 2118 25 a a DT 63372 2118 26 gravitational gravitational JJ 63372 2118 27 field field NN 63372 2118 28 can can MD 63372 2118 29 be be VB 63372 2118 30 artificially artificially RB 63372 2118 31 created create VBN 63372 2118 32 or or CC 63372 2118 33 destroyed destroy VBN 63372 2118 34 . . . 63372 2119 1 Thus thus RB 63372 2119 2 inside inside IN 63372 2119 3 a a DT 63372 2119 4 closed closed JJ 63372 2119 5 room room NN 63372 2119 6 which which WDT 63372 2119 7 is be VBZ 63372 2119 8 falling fall VBG 63372 2119 9 freely freely RB 63372 2119 10 , , , 63372 2119 11 say say VB 63372 2119 12 a a DT 63372 2119 13 lift lift NN 63372 2119 14 of of IN 63372 2119 15 which which WDT 63372 2119 16 the the DT 63372 2119 17 cable cable NN 63372 2119 18 has have VBZ 63372 2119 19 been be VBN 63372 2119 20 broken break VBN 63372 2119 21 , , , 63372 2119 22 bodies body NNS 63372 2119 23 have have VBP 63372 2119 24 no no DT 63372 2119 25 weight weight NN 63372 2119 26 : : : 63372 2119 27 a a DT 63372 2119 28 balance balance NN 63372 2119 29 could could MD 63372 2119 30 be be VB 63372 2119 31 in in IN 63372 2119 32 equilibrium equilibrium NN 63372 2119 33 with with IN 63372 2119 34 different different JJ 63372 2119 35 weights weight NNS 63372 2119 36 in in IN 63372 2119 37 the the DT 63372 2119 38 two two CD 63372 2119 39 scales scale NNS 63372 2119 40 . . . 63372 2120 1 Having have VBG 63372 2120 2 thus thus RB 63372 2120 3 come come VBN 63372 2120 4 to to IN 63372 2120 5 the the DT 63372 2120 6 conclusion conclusion NN 63372 2120 7 that that IN 63372 2120 8 gravitation gravitation NN 63372 2120 9 is be VBZ 63372 2120 10 not not RB 63372 2120 11 an an DT 63372 2120 12 interference interference NN 63372 2120 13 , , , 63372 2120 14 but but CC 63372 2120 15 is be VBZ 63372 2120 16 identical identical JJ 63372 2120 17 with with IN 63372 2120 18 inertia inertia NN 63372 2120 19 , , , 63372 2120 20 we -PRON- PRP 63372 2120 21 are be VBP 63372 2120 22 tempted tempt VBN 63372 2120 23 to to TO 63372 2120 24 restate restate VB 63372 2120 25 the the DT 63372 2120 26 law law NN 63372 2120 27 of of IN 63372 2120 28 motion motion NN 63372 2120 29 , , , 63372 2120 30 so so IN 63372 2120 31 as as IN 63372 2120 32 to to TO 63372 2120 33 include include VB 63372 2120 34 both both DT 63372 2120 35 , , , 63372 2120 36 thus thus RB 63372 2120 37 : : : 63372 2120 38 Bodies body NNS 63372 2120 39 which which WDT 63372 2120 40 are be VBP 63372 2120 41 not not RB 63372 2120 42 interfered interfere VBN 63372 2120 43 with with IN 63372 2120 44 -- -- : 63372 2120 45 do do VB 63372 2120 46 not not RB 63372 2120 47 move move VB 63372 2120 48 in in IN 63372 2120 49 straight straight JJ 63372 2120 50 lines line NNS 63372 2120 51 , , , 63372 2120 52 but but CC 63372 2120 53 -- -- : 63372 2120 54 fall fall VB 63372 2120 55 . . . 63372 2121 1 Now now RB 63372 2121 2 this this DT 63372 2121 3 is be VBZ 63372 2121 4 exactly exactly RB 63372 2121 5 what what WP 63372 2121 6 Einstein Einstein NNP 63372 2121 7 did do VBD 63372 2121 8 . . . 63372 2122 1 Only only RB 63372 2122 2 the the DT 63372 2122 3 " " `` 63372 2122 4 falling fall VBG 63372 2122 5 " " '' 63372 2122 6 of of IN 63372 2122 7 course course NN 63372 2122 8 requires require VBZ 63372 2122 9 a a DT 63372 2122 10 precise precise JJ 63372 2122 11 mathematical mathematical JJ 63372 2122 12 definition definition NN 63372 2122 13 ( ( -LRB- 63372 2122 14 like like IN 63372 2122 15 the the DT 63372 2122 16 uniform uniform JJ 63372 2122 17 motion motion NN 63372 2122 18 in in IN 63372 2122 19 a a DT 63372 2122 20 straight straight JJ 63372 2122 21 line line NN 63372 2122 22 ) ) -RRB- 63372 2122 23 , , , 63372 2122 24 and and CC 63372 2122 25 the the DT 63372 2122 26 whole whole JJ 63372 2122 27 gist gist NN 63372 2122 28 of of IN 63372 2122 29 his -PRON- PRP$ 63372 2122 30 theory theory NN 63372 2122 31 is be VBZ 63372 2122 32 the the DT 63372 2122 33 finding finding NN 63372 2122 34 of of IN 63372 2122 35 that that DT 63372 2122 36 definition definition NN 63372 2122 37 . . . 63372 2123 1 In in IN 63372 2123 2 our -PRON- PRP$ 63372 2123 3 earthly earthly JJ 63372 2123 4 experience experience NN 63372 2123 5 the the DT 63372 2123 6 falling fall VBG 63372 2123 7 never never RB 63372 2123 8 lasts last VBZ 63372 2123 9 long long JJ 63372 2123 10 , , , 63372 2123 11 very very RB 63372 2123 12 soon soon RB 63372 2123 13 something something NN 63372 2123 14 -- -- : 63372 2123 15 the the DT 63372 2123 16 floor floor NN 63372 2123 17 of of IN 63372 2123 18 the the DT 63372 2123 19 room room NN 63372 2123 20 , , , 63372 2123 21 or or CC 63372 2123 22 the the DT 63372 2123 23 earth earth NN 63372 2123 24 itself -PRON- PRP 63372 2123 25 -- -- : 63372 2123 26 interferes interfere VBZ 63372 2123 27 . . . 63372 2124 1 But but CC 63372 2124 2 in in IN 63372 2124 3 free free JJ 63372 2124 4 space space NN 63372 2124 5 bodies body NNS 63372 2124 6 go go VBP 63372 2124 7 on on IN 63372 2124 8 falling fall VBG 63372 2124 9 forever forever RB 63372 2124 10 . . . 63372 2125 1 The the DT 63372 2125 2 motion motion NN 63372 2125 3 of of IN 63372 2125 4 the the DT 63372 2125 5 planets planet NNS 63372 2125 6 is be VBZ 63372 2125 7 , , , 63372 2125 8 in in IN 63372 2125 9 fact fact NN 63372 2125 10 , , , 63372 2125 11 adequately adequately RB 63372 2125 12 described describe VBN 63372 2125 13 as as IN 63372 2125 14 falling fall VBG 63372 2125 15 , , , 63372 2125 16 since since IN 63372 2125 17 it -PRON- PRP 63372 2125 18 consists consist VBZ 63372 2125 19 in in IN 63372 2125 20 nothing nothing NN 63372 2125 21 else else RB 63372 2125 22 but but CC 63372 2125 23 obeying obey VBG 63372 2125 24 Newton Newton NNP 63372 2125 25 's 's POS 63372 2125 26 law law NN 63372 2125 27 of of IN 63372 2125 28 gravitation gravitation NN 63372 2125 29 together together RB 63372 2125 30 with with IN 63372 2125 31 his -PRON- PRP$ 63372 2125 32 law law NN 63372 2125 33 of of IN 63372 2125 34 inertia inertia NN 63372 2125 35 . . . 63372 2126 1 A a DT 63372 2126 2 body body NN 63372 2126 3 very very RB 63372 2126 4 far far RB 63372 2126 5 removed remove VBN 63372 2126 6 from from IN 63372 2126 7 all all DT 63372 2126 8 other other JJ 63372 2126 9 matter matter NN 63372 2126 10 is be VBZ 63372 2126 11 not not RB 63372 2126 12 subjected subject VBN 63372 2126 13 to to IN 63372 2126 14 gravitation gravitation NN 63372 2126 15 , , , 63372 2126 16 consequently consequently RB 63372 2126 17 it -PRON- PRP 63372 2126 18 falls fall VBZ 63372 2126 19 with with IN 63372 2126 20 constant constant JJ 63372 2126 21 velocity velocity NN 63372 2126 22 in in IN 63372 2126 23 a a DT 63372 2126 24 straight straight JJ 63372 2126 25 line line NN 63372 2126 26 according accord VBG 63372 2126 27 to to IN 63372 2126 28 the the DT 63372 2126 29 law law NN 63372 2126 30 of of IN 63372 2126 31 inertia inertia NN 63372 2126 32 . . . 63372 2127 1 The the DT 63372 2127 2 problem problem NN 63372 2127 3 was be VBD 63372 2127 4 thus thus RB 63372 2127 5 to to TO 63372 2127 6 find find VB 63372 2127 7 a a DT 63372 2127 8 mathematical mathematical JJ 63372 2127 9 definition definition NN 63372 2127 10 of of IN 63372 2127 11 " " `` 63372 2127 12 falling fall VBG 63372 2127 13 , , , 63372 2127 14 " " '' 63372 2127 15 which which WDT 63372 2127 16 would would MD 63372 2127 17 embrace embrace VB 63372 2127 18 the the DT 63372 2127 19 uniform uniform JJ 63372 2127 20 straight straight JJ 63372 2127 21 - - HYPH 63372 2127 22 line line NN 63372 2127 23 motion motion NN 63372 2127 24 very very RB 63372 2127 25 far far RB 63372 2127 26 from from IN 63372 2127 27 all all RB 63372 2127 28 matter matter NN 63372 2127 29 as as RB 63372 2127 30 well well RB 63372 2127 31 as as IN 63372 2127 32 the the DT 63372 2127 33 complex complex JJ 63372 2127 34 paths path NNS 63372 2127 35 of of IN 63372 2127 36 the the DT 63372 2127 37 planets planet NNS 63372 2127 38 around around IN 63372 2127 39 the the DT 63372 2127 40 sun sun NN 63372 2127 41 , , , 63372 2127 42 and and CC 63372 2127 43 of of IN 63372 2127 44 an an DT 63372 2127 45 apple apple NN 63372 2127 46 or or CC 63372 2127 47 a a DT 63372 2127 48 cannon cannon NN 63372 2127 49 - - HYPH 63372 2127 50 ball ball NN 63372 2127 51 on on IN 63372 2127 52 earth earth NN 63372 2127 53 . . . 63372 2128 1 GRAVITATION gravitation NN 63372 2128 2 AND and CC 63372 2128 3 SPACE space NN 63372 2128 4 - - HYPH 63372 2128 5 TIME TIME NNP 63372 2128 6 For for IN 63372 2128 7 the the DT 63372 2128 8 definition definition NN 63372 2128 9 of of IN 63372 2128 10 the the DT 63372 2128 11 uniform uniform JJ 63372 2128 12 rectilinear rectilinear NN 63372 2128 13 motion motion NN 63372 2128 14 of of IN 63372 2128 15 pure pure JJ 63372 2128 16 inertia inertia NN 63372 2128 17 Newton Newton NNP 63372 2128 18 's 's POS 63372 2128 19 Euclidean Euclidean NNP 63372 2128 20 space space NN 63372 2128 21 and and CC 63372 2128 22 independent independent JJ 63372 2128 23 time time NN 63372 2128 24 were be VBD 63372 2128 25 sufficient sufficient JJ 63372 2128 26 . . . 63372 2129 1 For for IN 63372 2129 2 the the DT 63372 2129 3 much much RB 63372 2129 4 more more RBR 63372 2129 5 complicated complicated JJ 63372 2129 6 falling fall VBG 63372 2129 7 under under IN 63372 2129 8 the the DT 63372 2129 9 influence influence NN 63372 2129 10 of of IN 63372 2129 11 gravitation gravitation NN 63372 2129 12 and and CC 63372 2129 13 inertia inertia NN 63372 2129 14 together together RB 63372 2129 15 , , , 63372 2129 16 evidently evidently RB 63372 2129 17 a a DT 63372 2129 18 more more RBR 63372 2129 19 complicated complicated JJ 63372 2129 20 geometry geometry NN 63372 2129 21 would would MD 63372 2129 22 be be VB 63372 2129 23 needed need VBN 63372 2129 24 . . . 63372 2130 1 Minkowski Minkowski NNP 63372 2130 2 's 's POS 63372 2130 3 pseudo pseudo JJ 63372 2130 4 - - JJ 63372 2130 5 Euclidean euclidean JJ 63372 2130 6 time time NN 63372 2130 7 - - HYPH 63372 2130 8 space space NN 63372 2130 9 also also RB 63372 2130 10 was be VBD 63372 2130 11 insufficient insufficient JJ 63372 2130 12 . . . 63372 2131 1 Einstein Einstein NNP 63372 2131 2 accordingly accordingly RB 63372 2131 3 introduced introduce VBD 63372 2131 4 a a DT 63372 2131 5 general general JJ 63372 2131 6 non non JJ 63372 2131 7 - - JJ 63372 2131 8 Euclidean euclidean JJ 63372 2131 9 four four CD 63372 2131 10 - - HYPH 63372 2131 11 dimensional dimensional JJ 63372 2131 12 time time NN 63372 2131 13 - - HYPH 63372 2131 14 space space NN 63372 2131 15 , , , 63372 2131 16 and and CC 63372 2131 17 enunciated enunciate VBD 63372 2131 18 his -PRON- PRP$ 63372 2131 19 law law NN 63372 2131 20 of of IN 63372 2131 21 motion motion NN 63372 2131 22 thus thus RB 63372 2131 23 : : : 63372 2131 24 Bodies body NNS 63372 2131 25 which which WDT 63372 2131 26 are be VBP 63372 2131 27 not not RB 63372 2131 28 interfered interfere VBN 63372 2131 29 with with IN 63372 2131 30 move move NN 63372 2131 31 in in IN 63372 2131 32 geodesics geodesic NNS 63372 2131 33 . . . 63372 2132 1 A a DT 63372 2132 2 geodesic geodesic NN 63372 2132 3 in in IN 63372 2132 4 curved curved JJ 63372 2132 5 space space NN 63372 2132 6 is be VBZ 63372 2132 7 exactly exactly RB 63372 2132 8 the the DT 63372 2132 9 same same JJ 63372 2132 10 thing thing NN 63372 2132 11 as as IN 63372 2132 12 a a DT 63372 2132 13 straight straight JJ 63372 2132 14 line line NN 63372 2132 15 in in IN 63372 2132 16 flat flat JJ 63372 2132 17 space space NN 63372 2132 18 . . . 63372 2133 1 We -PRON- PRP 63372 2133 2 only only RB 63372 2133 3 call call VBP 63372 2133 4 it -PRON- PRP 63372 2133 5 by by IN 63372 2133 6 its -PRON- PRP$ 63372 2133 7 technical technical JJ 63372 2133 8 name name NN 63372 2133 9 , , , 63372 2133 10 because because IN 63372 2133 11 the the DT 63372 2133 12 name name NN 63372 2133 13 " " `` 63372 2133 14 straight straight JJ 63372 2133 15 line line NN 63372 2133 16 " " '' 63372 2133 17 would would MD 63372 2133 18 remind remind VB 63372 2133 19 us -PRON- PRP 63372 2133 20 too too RB 63372 2133 21 much much JJ 63372 2133 22 of of IN 63372 2133 23 the the DT 63372 2133 24 old old JJ 63372 2133 25 Euclidean euclidean JJ 63372 2133 26 space space NN 63372 2133 27 . . . 63372 2134 1 If if IN 63372 2134 2 the the DT 63372 2134 3 curvature curvature NN 63372 2134 4 gets get VBZ 63372 2134 5 very very RB 63372 2134 6 small small JJ 63372 2134 7 , , , 63372 2134 8 or or CC 63372 2134 9 zero zero CD 63372 2134 10 , , , 63372 2134 11 the the DT 63372 2134 12 geodesic geodesic NN 63372 2134 13 becomes become VBZ 63372 2134 14 very very RB 63372 2134 15 nearly nearly RB 63372 2134 16 , , , 63372 2134 17 or or CC 63372 2134 18 exactly exactly RB 63372 2134 19 , , , 63372 2134 20 a a DT 63372 2134 21 straight straight JJ 63372 2134 22 line line NN 63372 2134 23 . . . 63372 2135 1 The the DT 63372 2135 2 problem problem NN 63372 2135 3 has have VBZ 63372 2135 4 now now RB 63372 2135 5 become become VBN 63372 2135 6 to to TO 63372 2135 7 assign assign VB 63372 2135 8 to to IN 63372 2135 9 time time NN 63372 2135 10 - - HYPH 63372 2135 11 space space NN 63372 2135 12 such such JJ 63372 2135 13 curvatures curvature NNS 63372 2135 14 that that IN 63372 2135 15 the the DT 63372 2135 16 geodesics geodesic NNS 63372 2135 17 will will MD 63372 2135 18 exactly exactly RB 63372 2135 19 represent represent VB 63372 2135 20 the the DT 63372 2135 21 tracks track NNS 63372 2135 22 of of IN 63372 2135 23 falling fall VBG 63372 2135 24 bodies body NNS 63372 2135 25 . . . 63372 2136 1 Space space NN 63372 2136 2 of of IN 63372 2136 3 two two CD 63372 2136 4 dimensions dimension NNS 63372 2136 5 can can MD 63372 2136 6 just just RB 63372 2136 7 be be VB 63372 2136 8 flat flat JJ 63372 2136 9 , , , 63372 2136 10 like like IN 63372 2136 11 a a DT 63372 2136 12 sheet sheet NN 63372 2136 13 of of IN 63372 2136 14 paper paper NN 63372 2136 15 , , , 63372 2136 16 or or CC 63372 2136 17 curved curved JJ 63372 2136 18 , , , 63372 2136 19 like like IN 63372 2136 20 an an DT 63372 2136 21 egg egg NN 63372 2136 22 . . . 63372 2137 1 But but CC 63372 2137 2 in in IN 63372 2137 3 geometry geometry NN 63372 2137 4 of of IN 63372 2137 5 four four CD 63372 2137 6 dimensions dimension NNS 63372 2137 7 there there EX 63372 2137 8 are be VBP 63372 2137 9 several several JJ 63372 2137 10 steps step NNS 63372 2137 11 from from IN 63372 2137 12 perfect perfect JJ 63372 2137 13 flatness flatness NN 63372 2137 14 , , , 63372 2137 15 or or CC 63372 2137 16 " " `` 63372 2137 17 pseudo pseudo NN 63372 2137 18 - - NN 63372 2137 19 flatness flatness NN 63372 2137 20 , , , 63372 2137 21 " " '' 63372 2137 22 to to TO 63372 2137 23 complete complete VB 63372 2137 24 curvature curvature NN 63372 2137 25 . . . 63372 2138 1 Now now RB 63372 2138 2 the the DT 63372 2138 3 law law NN 63372 2138 4 governing govern VBG 63372 2138 5 the the DT 63372 2138 6 curvature curvature NN 63372 2138 7 of of IN 63372 2138 8 Einstein Einstein NNP 63372 2138 9 's 's POS 63372 2138 10 time time NN 63372 2138 11 - - HYPH 63372 2138 12 space space NN 63372 2138 13 , , , 63372 2138 14 i.e. i.e. FW 63372 2138 15 , , , 63372 2138 16 the the DT 63372 2138 17 law law NN 63372 2138 18 of of IN 63372 2138 19 gravitation gravitation NN 63372 2138 20 , , , 63372 2138 21 is be VBZ 63372 2138 22 simply simply RB 63372 2138 23 that that IN 63372 2138 24 it -PRON- PRP 63372 2138 25 can can MD 63372 2138 26 never never RB 63372 2138 27 , , , 63372 2138 28 outside outside IN 63372 2138 29 matter matter NN 63372 2138 30 , , , 63372 2138 31 be be VB 63372 2138 32 curved curve VBN 63372 2138 33 more more JJR 63372 2138 34 than than IN 63372 2138 35 just just RB 63372 2138 36 one one CD 63372 2138 37 step step NN 63372 2138 38 beyond beyond IN 63372 2138 39 perfect perfect JJ 63372 2138 40 ( ( -LRB- 63372 2138 41 pseudo-)flatness pseudo-)flatness NNP 63372 2138 42 . . . 63372 2139 1 Since since IN 63372 2139 2 I -PRON- PRP 63372 2139 3 have have VBP 63372 2139 4 promised promise VBN 63372 2139 5 not not RB 63372 2139 6 to to TO 63372 2139 7 use use VB 63372 2139 8 any any DT 63372 2139 9 mathematics mathematic NNS 63372 2139 10 I -PRON- PRP 63372 2139 11 can can MD 63372 2139 12 hardly hardly RB 63372 2139 13 convey convey VB 63372 2139 14 to to IN 63372 2139 15 the the DT 63372 2139 16 reader reader NN 63372 2139 17 an an DT 63372 2139 18 adequate adequate JJ 63372 2139 19 idea idea NN 63372 2139 20 of of IN 63372 2139 21 the the DT 63372 2139 22 difficulty difficulty NN 63372 2139 23 of of IN 63372 2139 24 the the DT 63372 2139 25 problem problem NN 63372 2139 26 , , , 63372 2139 27 nor nor CC 63372 2139 28 do do VB 63372 2139 29 justice justice NN 63372 2139 30 to to IN 63372 2139 31 the the DT 63372 2139 32 elegance elegance NN 63372 2139 33 and and CC 63372 2139 34 beauty beauty NN 63372 2139 35 of of IN 63372 2139 36 the the DT 63372 2139 37 solution solution NN 63372 2139 38 . . . 63372 2140 1 It -PRON- PRP 63372 2140 2 is be VBZ 63372 2140 3 , , , 63372 2140 4 in in IN 63372 2140 5 fact fact NN 63372 2140 6 , , , 63372 2140 7 little little JJ 63372 2140 8 short short JJ 63372 2140 9 of of IN 63372 2140 10 miraculous miraculous JJ 63372 2140 11 that that IN 63372 2140 12 this this DT 63372 2140 13 solution solution NN 63372 2140 14 , , , 63372 2140 15 which which WDT 63372 2140 16 was be VBD 63372 2140 17 only only RB 63372 2140 18 adopted adopt VBN 63372 2140 19 by by IN 63372 2140 20 Einstein Einstein NNP 63372 2140 21 because because IN 63372 2140 22 it -PRON- PRP 63372 2140 23 was be VBD 63372 2140 24 the the DT 63372 2140 25 simplest simple JJS 63372 2140 26 he -PRON- PRP 63372 2140 27 could could MD 63372 2140 28 find find VB 63372 2140 29 , , , 63372 2140 30 does do VBZ 63372 2140 31 so so RB 63372 2140 32 exactly exactly RB 63372 2140 33 coincide coincide VB 63372 2140 34 in in IN 63372 2140 35 all all DT 63372 2140 36 its -PRON- PRP$ 63372 2140 37 effects effect NNS 63372 2140 38 with with IN 63372 2140 39 Newton Newton NNP 63372 2140 40 's 's POS 63372 2140 41 law law NN 63372 2140 42 . . . 63372 2141 1 Thus thus RB 63372 2141 2 the the DT 63372 2141 3 remarkably remarkably RB 63372 2141 4 accurate accurate JJ 63372 2141 5 experimental experimental JJ 63372 2141 6 verification verification NN 63372 2141 7 of of IN 63372 2141 8 this this DT 63372 2141 9 law law NN 63372 2141 10 can can MD 63372 2141 11 at at IN 63372 2141 12 once once RB 63372 2141 13 be be VB 63372 2141 14 transferred transfer VBN 63372 2141 15 to to IN 63372 2141 16 the the DT 63372 2141 17 new new JJ 63372 2141 18 law law NN 63372 2141 19 . . . 63372 2142 1 In in IN 63372 2142 2 only only RB 63372 2142 3 one one CD 63372 2142 4 instance instance NN 63372 2142 5 do do VBP 63372 2142 6 the the DT 63372 2142 7 two two CD 63372 2142 8 laws law NNS 63372 2142 9 differ differ VBP 63372 2142 10 so so RB 63372 2142 11 much much RB 63372 2142 12 that that IN 63372 2142 13 the the DT 63372 2142 14 difference difference NN 63372 2142 15 can can MD 63372 2142 16 be be VB 63372 2142 17 observed observe VBN 63372 2142 18 , , , 63372 2142 19 and and CC 63372 2142 20 in in IN 63372 2142 21 this this DT 63372 2142 22 case case NN 63372 2142 23 the the DT 63372 2142 24 observations observation NNS 63372 2142 25 confirm confirm VBP 63372 2142 26 the the DT 63372 2142 27 new new JJ 63372 2142 28 law law NN 63372 2142 29 exactly exactly RB 63372 2142 30 . . . 63372 2143 1 This this DT 63372 2143 2 is be VBZ 63372 2143 3 the the DT 63372 2143 4 well well RB 63372 2143 5 known know VBN 63372 2143 6 case case NN 63372 2143 7 of of IN 63372 2143 8 the the DT 63372 2143 9 motion motion NN 63372 2143 10 of of IN 63372 2143 11 the the DT 63372 2143 12 perihelion perihelion NN 63372 2143 13 of of IN 63372 2143 14 Mercury Mercury NNP 63372 2143 15 , , , 63372 2143 16 whose whose WP$ 63372 2143 17 disagreement disagreement NN 63372 2143 18 with with IN 63372 2143 19 Newton Newton NNP 63372 2143 20 's 's POS 63372 2143 21 law law NN 63372 2143 22 had have VBD 63372 2143 23 puzzled puzzle VBN 63372 2143 24 astronomers astronomer NNS 63372 2143 25 for for IN 63372 2143 26 more more JJR 63372 2143 27 than than IN 63372 2143 28 half half PDT 63372 2143 29 a a DT 63372 2143 30 century century NN 63372 2143 31 . . . 63372 2144 1 Since since IN 63372 2144 2 Einstein Einstein NNP 63372 2144 3 's 's POS 63372 2144 4 time time NN 63372 2144 5 - - HYPH 63372 2144 6 space space NN 63372 2144 7 includes include VBZ 63372 2144 8 Minkowski Minkowski NNP 63372 2144 9 's 's POS 63372 2144 10 as as IN 63372 2144 11 a a DT 63372 2144 12 particular particular JJ 63372 2144 13 case case NN 63372 2144 14 , , , 63372 2144 15 it -PRON- PRP 63372 2144 16 can can MD 63372 2144 17 do do VB 63372 2144 18 all all DT 63372 2144 19 that that WDT 63372 2144 20 the the DT 63372 2144 21 other other JJ 63372 2144 22 was be VBD 63372 2144 23 designed design VBN 63372 2144 24 to to TO 63372 2144 25 do do VB 63372 2144 26 for for IN 63372 2144 27 electro electro NNP 63372 2144 28 - - HYPH 63372 2144 29 magnetism magnetism NN 63372 2144 30 and and CC 63372 2144 31 light light NN 63372 2144 32 . . . 63372 2145 1 But but CC 63372 2145 2 it -PRON- PRP 63372 2145 3 does do VBZ 63372 2145 4 more more JJR 63372 2145 5 . . . 63372 2146 1 The the DT 63372 2146 2 track track NN 63372 2146 3 of of IN 63372 2146 4 a a DT 63372 2146 5 pulse pulse NN 63372 2146 6 of of IN 63372 2146 7 light light NN 63372 2146 8 is be VBZ 63372 2146 9 also also RB 63372 2146 10 a a DT 63372 2146 11 geodesic geodesic NN 63372 2146 12 , , , 63372 2146 13 and and CC 63372 2146 14 time time NN 63372 2146 15 - - HYPH 63372 2146 16 space space NN 63372 2146 17 being be VBG 63372 2146 18 curved curve VBN 63372 2146 19 in in IN 63372 2146 20 the the DT 63372 2146 21 neighborhood neighborhood NN 63372 2146 22 of of IN 63372 2146 23 matter matter NN 63372 2146 24 , , , 63372 2146 25 rays ray NNS 63372 2146 26 of of IN 63372 2146 27 light light NN 63372 2146 28 are be VBP 63372 2146 29 no no RB 63372 2146 30 longer long RBR 63372 2146 31 straight straight JJ 63372 2146 32 lines line NNS 63372 2146 33 . . . 63372 2147 1 A a DT 63372 2147 2 ray ray NN 63372 2147 3 of of IN 63372 2147 4 light light NN 63372 2147 5 from from IN 63372 2147 6 a a DT 63372 2147 7 star star NN 63372 2147 8 , , , 63372 2147 9 passing pass VBG 63372 2147 10 near near IN 63372 2147 11 the the DT 63372 2147 12 sun sun NN 63372 2147 13 , , , 63372 2147 14 will will MD 63372 2147 15 be be VB 63372 2147 16 bent bent JJ 63372 2147 17 round round RB 63372 2147 18 , , , 63372 2147 19 and and CC 63372 2147 20 the the DT 63372 2147 21 star star NN 63372 2147 22 consequently consequently RB 63372 2147 23 will will MD 63372 2147 24 be be VB 63372 2147 25 seen see VBN 63372 2147 26 in in IN 63372 2147 27 a a DT 63372 2147 28 different different JJ 63372 2147 29 direction direction NN 63372 2147 30 from from IN 63372 2147 31 where where WRB 63372 2147 32 it -PRON- PRP 63372 2147 33 would would MD 63372 2147 34 be be VB 63372 2147 35 seen see VBN 63372 2147 36 if if IN 63372 2147 37 the the DT 63372 2147 38 sun sun NN 63372 2147 39 had have VBD 63372 2147 40 not not RB 63372 2147 41 been be VBN 63372 2147 42 so so RB 63372 2147 43 nearly nearly RB 63372 2147 44 in in IN 63372 2147 45 the the DT 63372 2147 46 way way NN 63372 2147 47 . . . 63372 2148 1 This this DT 63372 2148 2 has have VBZ 63372 2148 3 been be VBN 63372 2148 4 verified verify VBN 63372 2148 5 by by IN 63372 2148 6 the the DT 63372 2148 7 observations observation NNS 63372 2148 8 of of IN 63372 2148 9 the the DT 63372 2148 10 eclipse eclipse NN 63372 2148 11 of of IN 63372 2148 12 the the DT 63372 2148 13 sun sun NN 63372 2148 14 of of IN 63372 2148 15 1919 1919 CD 63372 2148 16 of of IN 63372 2148 17 May May NNP 63372 2148 18 29 29 CD 63372 2148 19 . . . 63372 2149 1 There there EX 63372 2149 2 is be VBZ 63372 2149 3 one one CD 63372 2149 4 other other JJ 63372 2149 5 new new JJ 63372 2149 6 phenomenon phenomenon NN 63372 2149 7 predicted predict VBN 63372 2149 8 by by IN 63372 2149 9 the the DT 63372 2149 10 theory theory NN 63372 2149 11 , , , 63372 2149 12 which which WDT 63372 2149 13 falls fall VBZ 63372 2149 14 within within IN 63372 2149 15 the the DT 63372 2149 16 reach reach NN 63372 2149 17 of of IN 63372 2149 18 observation observation NN 63372 2149 19 with with IN 63372 2149 20 our -PRON- PRP$ 63372 2149 21 present present JJ 63372 2149 22 means mean NNS 63372 2149 23 . . . 63372 2150 1 Gravitation Gravitation NNP 63372 2150 2 chiefly chiefly RB 63372 2150 3 affects affect VBZ 63372 2150 4 the the DT 63372 2150 5 time time NN 63372 2150 6 - - HYPH 63372 2150 7 component component NN 63372 2150 8 of of IN 63372 2150 9 the the DT 63372 2150 10 four four CD 63372 2150 11 - - HYPH 63372 2150 12 dimensional dimensional JJ 63372 2150 13 continuum continuum NN 63372 2150 14 , , , 63372 2150 15 in in IN 63372 2150 16 such such PDT 63372 2150 17 a a DT 63372 2150 18 way way NN 63372 2150 19 that that WDT 63372 2150 20 natural natural JJ 63372 2150 21 clocks clock NNS 63372 2150 22 appear appear VBP 63372 2150 23 to to TO 63372 2150 24 run run VB 63372 2150 25 slower slow RBR 63372 2150 26 in in IN 63372 2150 27 a a DT 63372 2150 28 strong strong JJ 63372 2150 29 gravitational gravitational JJ 63372 2150 30 field field NN 63372 2150 31 than than IN 63372 2150 32 in in IN 63372 2150 33 a a DT 63372 2150 34 weak weak JJ 63372 2150 35 one one NN 63372 2150 36 . . . 63372 2151 1 Thus thus RB 63372 2151 2 , , , 63372 2151 3 if if IN 63372 2151 4 we -PRON- PRP 63372 2151 5 make make VBP 63372 2151 6 the the DT 63372 2151 7 hypothesis hypothesis NN 63372 2151 8 -- -- : 63372 2151 9 which which WDT 63372 2151 10 , , , 63372 2151 11 though though IN 63372 2151 12 extremely extremely RB 63372 2151 13 probable probable JJ 63372 2151 14 , , , 63372 2151 15 is be VBZ 63372 2151 16 still still RB 63372 2151 17 a a DT 63372 2151 18 hypothesis hypothesis NN 63372 2151 19 -- -- : 63372 2151 20 that that IN 63372 2151 21 an an DT 63372 2151 22 atom atom JJ 63372 2151 23 emitting emit VBG 63372 2151 24 or or CC 63372 2151 25 absorbing absorb VBG 63372 2151 26 light light NN 63372 2151 27 - - HYPH 63372 2151 28 waves wave NNS 63372 2151 29 is be VBZ 63372 2151 30 a a DT 63372 2151 31 natural natural JJ 63372 2151 32 clock clock NN 63372 2151 33 , , , 63372 2151 34 and and CC 63372 2151 35 the the DT 63372 2151 36 further further JJ 63372 2151 37 hypothesis hypothesis NN 63372 2151 38 -- -- : 63372 2151 39 still still RB 63372 2151 40 very very RB 63372 2151 41 probable probable JJ 63372 2151 42 , , , 63372 2151 43 though though IN 63372 2151 44 less less RBR 63372 2151 45 so so RB 63372 2151 46 than than IN 63372 2151 47 the the DT 63372 2151 48 former former JJ 63372 2151 49 -- -- : 63372 2151 50 that that IN 63372 2151 51 there there EX 63372 2151 52 is be VBZ 63372 2151 53 nothing nothing NN 63372 2151 54 to to TO 63372 2151 55 interfere interfere VB 63372 2151 56 with with IN 63372 2151 57 its -PRON- PRP$ 63372 2151 58 perfect perfect JJ 63372 2151 59 running running NN 63372 2151 60 , , , 63372 2151 61 then then RB 63372 2151 62 an an DT 63372 2151 63 atom atom NN 63372 2151 64 on on IN 63372 2151 65 the the DT 63372 2151 66 sun sun NN 63372 2151 67 will will MD 63372 2151 68 give give VB 63372 2151 69 off off RP 63372 2151 70 light light NN 63372 2151 71 - - HYPH 63372 2151 72 waves wave NNS 63372 2151 73 of of IN 63372 2151 74 smaller small JJR 63372 2151 75 frequency frequency NN 63372 2151 76 than than IN 63372 2151 77 a a DT 63372 2151 78 similar similar JJ 63372 2151 79 atom atom NN 63372 2151 80 in in IN 63372 2151 81 a a DT 63372 2151 82 terrestrial terrestrial JJ 63372 2151 83 laboratory laboratory NN 63372 2151 84 emits emit NNS 63372 2151 85 . . . 63372 2152 1 Opinions opinion NNS 63372 2152 2 as as IN 63372 2152 3 yet yet RB 63372 2152 4 differ differ VBP 63372 2152 5 as as IN 63372 2152 6 to to IN 63372 2152 7 whether whether IN 63372 2152 8 this this DT 63372 2152 9 is be VBZ 63372 2152 10 confirmed confirm VBN 63372 2152 11 or or CC 63372 2152 12 contradicted contradict VBN 63372 2152 13 by by IN 63372 2152 14 observations observation NNS 63372 2152 15 . . . 63372 2153 1 The the DT 63372 2153 2 great great JJ 63372 2153 3 strength strength NN 63372 2153 4 and and CC 63372 2153 5 the the DT 63372 2153 6 charm charm NN 63372 2153 7 of of IN 63372 2153 8 Einstein Einstein NNP 63372 2153 9 's 's POS 63372 2153 10 theory theory NN 63372 2153 11 do do VBP 63372 2153 12 however however RB 63372 2153 13 not not RB 63372 2153 14 lie lie VB 63372 2153 15 in in IN 63372 2153 16 verified verified JJ 63372 2153 17 predictions prediction NNS 63372 2153 18 , , , 63372 2153 19 nor nor CC 63372 2153 20 in in IN 63372 2153 21 the the DT 63372 2153 22 explanation explanation NN 63372 2153 23 of of IN 63372 2153 24 small small JJ 63372 2153 25 outstanding outstanding JJ 63372 2153 26 discrepancies discrepancy NNS 63372 2153 27 , , , 63372 2153 28 but but CC 63372 2153 29 in in IN 63372 2153 30 the the DT 63372 2153 31 complete complete JJ 63372 2153 32 attainment attainment NN 63372 2153 33 of of IN 63372 2153 34 its -PRON- PRP$ 63372 2153 35 original original JJ 63372 2153 36 aim aim NN 63372 2153 37 : : : 63372 2153 38 the the DT 63372 2153 39 identification identification NN 63372 2153 40 of of IN 63372 2153 41 gravitation gravitation NN 63372 2153 42 and and CC 63372 2153 43 inertia inertia NN 63372 2153 44 , , , 63372 2153 45 and and CC 63372 2153 46 in in IN 63372 2153 47 the the DT 63372 2153 48 wide wide JJ 63372 2153 49 range range NN 63372 2153 50 of of IN 63372 2153 51 formerly formerly RB 63372 2153 52 apparently apparently RB 63372 2153 53 unconnected unconnected JJ 63372 2153 54 subjects subject NNS 63372 2153 55 which which WDT 63372 2153 56 it -PRON- PRP 63372 2153 57 embraces embrace VBZ 63372 2153 58 , , , 63372 2153 59 and and CC 63372 2153 60 the the DT 63372 2153 61 broad broad JJ 63372 2153 62 view view NN 63372 2153 63 of of IN 63372 2153 64 nature nature NN 63372 2153 65 which which WDT 63372 2153 66 it -PRON- PRP 63372 2153 67 affords afford VBZ 63372 2153 68 . . . 63372 2154 1 Outside outside JJ 63372 2154 2 matter matter NN 63372 2154 3 , , , 63372 2154 4 as as IN 63372 2154 5 has have VBZ 63372 2154 6 been be VBN 63372 2154 7 explained explain VBN 63372 2154 8 , , , 63372 2154 9 the the DT 63372 2154 10 law law NN 63372 2154 11 of of IN 63372 2154 12 gravitation gravitation NN 63372 2154 13 restricts restrict VBZ 63372 2154 14 the the DT 63372 2154 15 curvature curvature NN 63372 2154 16 of of IN 63372 2154 17 time time NN 63372 2154 18 - - HYPH 63372 2154 19 space space NN 63372 2154 20 . . . 63372 2155 1 Inside inside IN 63372 2155 2 continuous continuous JJ 63372 2155 3 matter matter NN 63372 2155 4 the the DT 63372 2155 5 curvature curvature NN 63372 2155 6 can can MD 63372 2155 7 be be VB 63372 2155 8 of of IN 63372 2155 9 any any DT 63372 2155 10 arbitrary arbitrary JJ 63372 2155 11 kind kind NN 63372 2155 12 or or CC 63372 2155 13 amount amount NN 63372 2155 14 ; ; : 63372 2155 15 the the DT 63372 2155 16 law law NN 63372 2155 17 of of IN 63372 2155 18 gravitation gravitation NN 63372 2155 19 then then RB 63372 2155 20 connects connect VBZ 63372 2155 21 this this DT 63372 2155 22 curvature curvature NN 63372 2155 23 with with IN 63372 2155 24 measurable measurable JJ 63372 2155 25 properties property NNS 63372 2155 26 of of IN 63372 2155 27 the the DT 63372 2155 28 matter matter NN 63372 2155 29 , , , 63372 2155 30 such such JJ 63372 2155 31 as as IN 63372 2155 32 density density NN 63372 2155 33 , , , 63372 2155 34 velocity velocity NN 63372 2155 35 , , , 63372 2155 36 stress stress NN 63372 2155 37 , , , 63372 2155 38 etc etc FW 63372 2155 39 . . . 63372 2156 1 Thus thus RB 63372 2156 2 these these DT 63372 2156 3 properties property NNS 63372 2156 4 define define VBP 63372 2156 5 the the DT 63372 2156 6 curvature curvature NN 63372 2156 7 , , , 63372 2156 8 or or CC 63372 2156 9 , , , 63372 2156 10 if if IN 63372 2156 11 preferred prefer VBN 63372 2156 12 , , , 63372 2156 13 the the DT 63372 2156 14 curvature curvature JJ 63372 2156 15 defines define VBZ 63372 2156 16 the the DT 63372 2156 17 properties property NNS 63372 2156 18 of of IN 63372 2156 19 matter matter NN 63372 2156 20 , , , 63372 2156 21 i.e. i.e. FW 63372 2157 1 matter matter VB 63372 2157 2 itself -PRON- PRP 63372 2157 3 . . . 63372 2158 1 From from IN 63372 2158 2 these these DT 63372 2158 3 definitions definition NNS 63372 2158 4 the the DT 63372 2158 5 laws law NNS 63372 2158 6 of of IN 63372 2158 7 conservation conservation NN 63372 2158 8 of of IN 63372 2158 9 energy energy NN 63372 2158 10 , , , 63372 2158 11 and and CC 63372 2158 12 of of IN 63372 2158 13 conservation conservation NN 63372 2158 14 of of IN 63372 2158 15 momentum momentum NN 63372 2158 16 , , , 63372 2158 17 can can MD 63372 2158 18 be be VB 63372 2158 19 deduced deduce VBN 63372 2158 20 by by IN 63372 2158 21 a a DT 63372 2158 22 purely purely RB 63372 2158 23 mathematical mathematical JJ 63372 2158 24 process process NN 63372 2158 25 . . . 63372 2159 1 Thus thus RB 63372 2159 2 these these DT 63372 2159 3 laws law NNS 63372 2159 4 , , , 63372 2159 5 which which WDT 63372 2159 6 at at IN 63372 2159 7 one one CD 63372 2159 8 time time NN 63372 2159 9 used use VBN 63372 2159 10 to to TO 63372 2159 11 be be VB 63372 2159 12 considered consider VBN 63372 2159 13 as as IN 63372 2159 14 the the DT 63372 2159 15 most most RBS 63372 2159 16 fundamental fundamental JJ 63372 2159 17 ones one NNS 63372 2159 18 of of IN 63372 2159 19 mechanics mechanic NNS 63372 2159 20 , , , 63372 2159 21 now now RB 63372 2159 22 appear appear VBP 63372 2159 23 as as IN 63372 2159 24 simple simple JJ 63372 2159 25 corollaries corollary NNS 63372 2159 26 from from IN 63372 2159 27 the the DT 63372 2159 28 law law NN 63372 2159 29 of of IN 63372 2159 30 gravitation gravitation NN 63372 2159 31 . . . 63372 2160 1 It -PRON- PRP 63372 2160 2 must must MD 63372 2160 3 be be VB 63372 2160 4 pointed point VBN 63372 2160 5 out out RP 63372 2160 6 that that IN 63372 2160 7 such such JJ 63372 2160 8 things thing NNS 63372 2160 9 as as IN 63372 2160 10 length length NN 63372 2160 11 , , , 63372 2160 12 velocity velocity NN 63372 2160 13 , , , 63372 2160 14 energy energy NN 63372 2160 15 , , , 63372 2160 16 momentum momentum NN 63372 2160 17 , , , 63372 2160 18 are be VBP 63372 2160 19 not not RB 63372 2160 20 absolute absolute JJ 63372 2160 21 , , , 63372 2160 22 but but CC 63372 2160 23 relative relative JJ 63372 2160 24 , , , 63372 2160 25 i.e. i.e. FW 63372 2161 1 they -PRON- PRP 63372 2161 2 are be VBP 63372 2161 3 not not RB 63372 2161 4 attributes attribute NNS 63372 2161 5 of of IN 63372 2161 6 the the DT 63372 2161 7 physical physical JJ 63372 2161 8 reality reality NN 63372 2161 9 , , , 63372 2161 10 but but CC 63372 2161 11 relations relation NNS 63372 2161 12 between between IN 63372 2161 13 this this DT 63372 2161 14 reality reality NN 63372 2161 15 and and CC 63372 2161 16 the the DT 63372 2161 17 observer observer NN 63372 2161 18 . . . 63372 2162 1 Consequently consequently RB 63372 2162 2 the the DT 63372 2162 3 laws law NNS 63372 2162 4 of of IN 63372 2162 5 conservation conservation NN 63372 2162 6 are be VBP 63372 2162 7 not not RB 63372 2162 8 laws law NNS 63372 2162 9 of of IN 63372 2162 10 the the DT 63372 2162 11 real real JJ 63372 2162 12 world world NN 63372 2162 13 , , , 63372 2162 14 like like IN 63372 2162 15 the the DT 63372 2162 16 law law NN 63372 2162 17 of of IN 63372 2162 18 gravitation gravitation NN 63372 2162 19 , , , 63372 2162 20 but but CC 63372 2162 21 of of IN 63372 2162 22 the the DT 63372 2162 23 observed observed JJ 63372 2162 24 phenomena phenomenon NNS 63372 2162 25 . . . 63372 2163 1 There there EX 63372 2163 2 is be VBZ 63372 2163 3 , , , 63372 2163 4 however however RB 63372 2163 5 one one CD 63372 2163 6 law law NN 63372 2163 7 which which WDT 63372 2163 8 , , , 63372 2163 9 already already RB 63372 2163 10 before before IN 63372 2163 11 the the DT 63372 2163 12 days day NNS 63372 2163 13 of of IN 63372 2163 14 relativity relativity NN 63372 2163 15 , , , 63372 2163 16 had have VBD 63372 2163 17 come come VBN 63372 2163 18 to to TO 63372 2163 19 be be VB 63372 2163 20 considered consider VBN 63372 2163 21 as as IN 63372 2163 22 the the DT 63372 2163 23 most most RBS 63372 2163 24 fundamental fundamental JJ 63372 2163 25 of of IN 63372 2163 26 all all DT 63372 2163 27 , , , 63372 2163 28 viz viz NNP 63372 2163 29 : : : 63372 2163 30 the the DT 63372 2163 31 principle principle NN 63372 2163 32 of of IN 63372 2163 33 least least JJS 63372 2163 34 action action NN 63372 2163 35 . . . 63372 2164 1 Now now RB 63372 2164 2 action action NN 63372 2164 3 is be VBZ 63372 2164 4 absolute absolute JJ 63372 2164 5 . . . 63372 2165 1 Accordingly accordingly RB 63372 2165 2 this this DT 63372 2165 3 principle principle NN 63372 2165 4 retains retain VBZ 63372 2165 5 its -PRON- PRP$ 63372 2165 6 central central JJ 63372 2165 7 position position NN 63372 2165 8 in in IN 63372 2165 9 Einstein Einstein NNP 63372 2165 10 's 's POS 63372 2165 11 theory theory NN 63372 2165 12 . . . 63372 2166 1 It -PRON- PRP 63372 2166 2 is be VBZ 63372 2166 3 even even RB 63372 2166 4 more more RBR 63372 2166 5 fundamental fundamental JJ 63372 2166 6 than than IN 63372 2166 7 the the DT 63372 2166 8 law law NN 63372 2166 9 of of IN 63372 2166 10 gravitation gravitation NN 63372 2166 11 , , , 63372 2166 12 since since IN 63372 2166 13 both both PDT 63372 2166 14 this this DT 63372 2166 15 law law NN 63372 2166 16 , , , 63372 2166 17 and and CC 63372 2166 18 the the DT 63372 2166 19 law law NN 63372 2166 20 of of IN 63372 2166 21 motion motion NN 63372 2166 22 , , , 63372 2166 23 can can MD 63372 2166 24 be be VB 63372 2166 25 derived derive VBN 63372 2166 26 from from IN 63372 2166 27 it -PRON- PRP 63372 2166 28 . . . 63372 2167 1 The the DT 63372 2167 2 principle principle NN 63372 2167 3 of of IN 63372 2167 4 least least JJS 63372 2167 5 action action NN 63372 2167 6 , , , 63372 2167 7 so so RB 63372 2167 8 far far RB 63372 2167 9 as as IN 63372 2167 10 we -PRON- PRP 63372 2167 11 can can MD 63372 2167 12 see see VB 63372 2167 13 at at IN 63372 2167 14 present present NN 63372 2167 15 , , , 63372 2167 16 appears appear VBZ 63372 2167 17 to to TO 63372 2167 18 be be VB 63372 2167 19 the the DT 63372 2167 20 law law NN 63372 2167 21 of of IN 63372 2167 22 the the DT 63372 2167 23 real real JJ 63372 2167 24 world world NN 63372 2167 25 . . . 63372 2168 1 XI XI NNP 63372 2168 2 THE the DT 63372 2168 3 PRINCIPLE PRINCIPLE NNP 63372 2168 4 OF of IN 63372 2168 5 GENERAL GENERAL NNP 63372 2168 6 RELATIVITY RELATIVITY NNP 63372 2168 7 How how WRB 63372 2168 8 Einstein Einstein NNP 63372 2168 9 , , , 63372 2168 10 to to IN 63372 2168 11 a a DT 63372 2168 12 Degree Degree NNP 63372 2168 13 Never Never NNP 63372 2168 14 Before before IN 63372 2168 15 Equalled Equalled NNP 63372 2168 16 , , , 63372 2168 17 Isolates isolate VBZ 63372 2168 18 the the DT 63372 2168 19 External External NNP 63372 2168 20 Reality Reality NNP 63372 2168 21 from from IN 63372 2168 22 the the DT 63372 2168 23 Observer Observer NNP 63372 2168 24 's 's POS 63372 2168 25 Contribution Contribution NNP 63372 2168 26 BY by IN 63372 2168 27 E. E. NNP 63372 2168 28 T. T. NNP 63372 2168 29 BELL BELL NNP 63372 2168 30 UNIVERSITY UNIVERSITY NNP 63372 2168 31 OF of IN 63372 2168 32 WASHINGTON WASHINGTON NNP 63372 2168 33 SEATTLE SEATTLE NNP 63372 2168 34 Einstein Einstein NNP 63372 2168 35 's 's POS 63372 2168 36 general general JJ 63372 2168 37 relativity relativity NN 63372 2168 38 is be VBZ 63372 2168 39 of of IN 63372 2168 40 such such JJ 63372 2168 41 vast vast JJ 63372 2168 42 compass compass NN 63372 2168 43 , , , 63372 2168 44 being be VBG 63372 2168 45 coextensive coextensive JJ 63372 2168 46 with with IN 63372 2168 47 the the DT 63372 2168 48 realm realm NN 63372 2168 49 of of IN 63372 2168 50 physical physical JJ 63372 2168 51 events event NNS 63372 2168 52 , , , 63372 2168 53 that that IN 63372 2168 54 in in IN 63372 2168 55 any any DT 63372 2168 56 brief brief JJ 63372 2168 57 account account NN 63372 2168 58 a a DT 63372 2168 59 strict strict JJ 63372 2168 60 selection selection NN 63372 2168 61 from from IN 63372 2168 62 its -PRON- PRP$ 63372 2168 63 numerous numerous JJ 63372 2168 64 aspects aspect NNS 63372 2168 65 is be VBZ 63372 2168 66 prescribed prescribe VBN 63372 2168 67 . . . 63372 2169 1 The the DT 63372 2169 2 old old JJ 63372 2169 3 , , , 63372 2169 4 restricted restricted JJ 63372 2169 5 principle principle NN 63372 2169 6 being be VBG 63372 2169 7 contained contain VBN 63372 2169 8 in in IN 63372 2169 9 the the DT 63372 2169 10 general general NN 63372 2169 11 , , , 63372 2169 12 we -PRON- PRP 63372 2169 13 shall shall MD 63372 2169 14 treat treat VB 63372 2169 15 the the DT 63372 2169 16 latter latter JJ 63372 2169 17 , , , 63372 2169 18 its -PRON- PRP$ 63372 2169 19 close close JJ 63372 2169 20 relations relation NNS 63372 2169 21 with with IN 63372 2169 22 gravitation gravitation NN 63372 2169 23 , , , 63372 2169 24 and and CC 63372 2169 25 the the DT 63372 2169 26 significance significance NN 63372 2169 27 of of IN 63372 2169 28 both both DT 63372 2169 29 for for IN 63372 2169 30 our -PRON- PRP$ 63372 2169 31 knowledge knowledge NN 63372 2169 32 of of IN 63372 2169 33 space space NN 63372 2169 34 and and CC 63372 2169 35 time time NN 63372 2169 36 . . . 63372 2170 1 The the DT 63372 2170 2 essence essence NN 63372 2170 3 of of IN 63372 2170 4 Einstein Einstein NNP 63372 2170 5 's 's POS 63372 2170 6 generalization generalization NN 63372 2170 7 is be VBZ 63372 2170 8 its -PRON- PRP$ 63372 2170 9 final final JJ 63372 2170 10 disentanglement disentanglement NN 63372 2170 11 of of IN 63372 2170 12 that that DT 63372 2170 13 part part NN 63372 2170 14 of of IN 63372 2170 15 any any DT 63372 2170 16 physical physical JJ 63372 2170 17 event event NN 63372 2170 18 which which WDT 63372 2170 19 is be VBZ 63372 2170 20 contributed contribute VBN 63372 2170 21 by by IN 63372 2170 22 the the DT 63372 2170 23 observer observer NN 63372 2170 24 from from IN 63372 2170 25 that that DT 63372 2170 26 which which WDT 63372 2170 27 is be VBZ 63372 2170 28 inherent inherent JJ 63372 2170 29 in in IN 63372 2170 30 the the DT 63372 2170 31 nature nature NN 63372 2170 32 of of IN 63372 2170 33 things thing NNS 63372 2170 34 and and CC 63372 2170 35 independent independent JJ 63372 2170 36 of of IN 63372 2170 37 all all DT 63372 2170 38 observers observer NNS 63372 2170 39 . . . 63372 2171 1 The the DT 63372 2171 2 argument argument NN 63372 2171 3 turns turn VBZ 63372 2171 4 upon upon IN 63372 2171 5 the the DT 63372 2171 6 fact fact NN 63372 2171 7 that that IN 63372 2171 8 an an DT 63372 2171 9 observer observer NN 63372 2171 10 must must MD 63372 2171 11 describe describe VB 63372 2171 12 any any DT 63372 2171 13 event event NN 63372 2171 14 with with IN 63372 2171 15 reference reference NN 63372 2171 16 to to IN 63372 2171 17 some some DT 63372 2171 18 framework framework NN 63372 2171 19 from from IN 63372 2171 20 which which WDT 63372 2171 21 he -PRON- PRP 63372 2171 22 makes make VBZ 63372 2171 23 measurements measurement NNS 63372 2171 24 of of IN 63372 2171 25 time time NN 63372 2171 26 and and CC 63372 2171 27 distance distance NN 63372 2171 28 . . . 63372 2172 1 Thus thus RB 63372 2172 2 , , , 63372 2172 3 suppose suppose VB 63372 2172 4 that that IN 63372 2172 5 at at IN 63372 2172 6 nine nine CD 63372 2172 7 o'clock o'clock NN 63372 2172 8 a a DT 63372 2172 9 ball ball NN 63372 2172 10 is be VBZ 63372 2172 11 tossed toss VBN 63372 2172 12 across across IN 63372 2172 13 the the DT 63372 2172 14 room room NN 63372 2172 15 . . . 63372 2173 1 At at IN 63372 2173 2 one one CD 63372 2173 3 second second JJ 63372 2173 4 past past IN 63372 2173 5 nine nine CD 63372 2173 6 the the DT 63372 2173 7 ball ball NN 63372 2173 8 occupies occupy VBZ 63372 2173 9 a a DT 63372 2173 10 definite definite JJ 63372 2173 11 position position NN 63372 2173 12 which which WDT 63372 2173 13 we -PRON- PRP 63372 2173 14 can can MD 63372 2173 15 specify specify VB 63372 2173 16 by by IN 63372 2173 17 giving give VBG 63372 2173 18 the the DT 63372 2173 19 three three CD 63372 2173 20 distances distance NNS 63372 2173 21 from from IN 63372 2173 22 the the DT 63372 2173 23 centre centre NN 63372 2173 24 of of IN 63372 2173 25 the the DT 63372 2173 26 ball ball NN 63372 2173 27 to to IN 63372 2173 28 the the DT 63372 2173 29 north north NN 63372 2173 30 and and CC 63372 2173 31 west west NN 63372 2173 32 walls wall NNS 63372 2173 33 and and CC 63372 2173 34 the the DT 63372 2173 35 floor floor NN 63372 2173 36 . . . 63372 2174 1 In in IN 63372 2174 2 this this DT 63372 2174 3 way way NN 63372 2174 4 , , , 63372 2174 5 refining refine VBG 63372 2174 6 our -PRON- PRP$ 63372 2174 7 measurements measurement NNS 63372 2174 8 , , , 63372 2174 9 we -PRON- PRP 63372 2174 10 can can MD 63372 2174 11 give give VB 63372 2174 12 a a DT 63372 2174 13 precise precise JJ 63372 2174 14 description description NN 63372 2174 15 of of IN 63372 2174 16 the the DT 63372 2174 17 entire entire JJ 63372 2174 18 motion motion NN 63372 2174 19 of of IN 63372 2174 20 the the DT 63372 2174 21 ball ball NN 63372 2174 22 . . . 63372 2175 1 Our -PRON- PRP$ 63372 2175 2 final final JJ 63372 2175 3 description description NN 63372 2175 4 will will MD 63372 2175 5 consist consist VB 63372 2175 6 of of IN 63372 2175 7 innumerable innumerable JJ 63372 2175 8 separate separate JJ 63372 2175 9 statements statement NNS 63372 2175 10 , , , 63372 2175 11 each each DT 63372 2175 12 of of IN 63372 2175 13 which which WDT 63372 2175 14 contains contain VBZ 63372 2175 15 four four CD 63372 2175 16 numbers number NNS 63372 2175 17 corresponding correspond VBG 63372 2175 18 to to IN 63372 2175 19 four four CD 63372 2175 20 measurements measurement NNS 63372 2175 21 , , , 63372 2175 22 and and CC 63372 2175 23 of of IN 63372 2175 24 these these DT 63372 2175 25 one one NN 63372 2175 26 will will MD 63372 2175 27 be be VB 63372 2175 28 for for IN 63372 2175 29 time time NN 63372 2175 30 and and CC 63372 2175 31 three three CD 63372 2175 32 for for IN 63372 2175 33 distances distance NNS 63372 2175 34 at at IN 63372 2175 35 the the DT 63372 2175 36 time time NN 63372 2175 37 indicated indicate VBD 63372 2175 38 . . . 63372 2176 1 Imagine imagine VB 63372 2176 2 now now RB 63372 2176 3 that that IN 63372 2176 4 a a DT 63372 2176 5 man man NN 63372 2176 6 in in IN 63372 2176 7 an an DT 63372 2176 8 automobile automobile NN 63372 2176 9 looks look VBZ 63372 2176 10 in in IN 63372 2176 11 and and CC 63372 2176 12 observes observe VBZ 63372 2176 13 the the DT 63372 2176 14 moving move VBG 63372 2176 15 ball ball NN 63372 2176 16 . . . 63372 2177 1 Suppose suppose VB 63372 2177 2 he -PRON- PRP 63372 2177 3 records record VBZ 63372 2177 4 the the DT 63372 2177 5 motion motion NN 63372 2177 6 . . . 63372 2178 1 To to TO 63372 2178 2 do do VB 63372 2178 3 so so RB 63372 2178 4 , , , 63372 2178 5 he -PRON- PRP 63372 2178 6 must must MD 63372 2178 7 refer refer VB 63372 2178 8 to to IN 63372 2178 9 a a DT 63372 2178 10 timepiece timepiece NN 63372 2178 11 and and CC 63372 2178 12 some some DT 63372 2178 13 body body NN 63372 2178 14 of of IN 63372 2178 15 reference reference NN 63372 2178 16 . . . 63372 2179 1 Say say VB 63372 2179 2 he -PRON- PRP 63372 2179 3 selects select VBZ 63372 2179 4 his -PRON- PRP$ 63372 2179 5 wrist wrist NN 63372 2179 6 - - HYPH 63372 2179 7 watch watch NN 63372 2179 8 , , , 63372 2179 9 the the DT 63372 2179 10 floor floor NN 63372 2179 11 of of IN 63372 2179 12 his -PRON- PRP$ 63372 2179 13 auto auto NN 63372 2179 14 and and CC 63372 2179 15 two two CD 63372 2179 16 sides side NNS 63372 2179 17 meeting meet VBG 63372 2179 18 in in IN 63372 2179 19 a a DT 63372 2179 20 corner corner NN 63372 2179 21 . . . 63372 2180 1 Fancy fancy JJ 63372 2180 2 that that DT 63372 2180 3 just just RB 63372 2180 4 as as IN 63372 2180 5 he -PRON- PRP 63372 2180 6 begins begin VBZ 63372 2180 7 his -PRON- PRP$ 63372 2180 8 series series NN 63372 2180 9 of of IN 63372 2180 10 observations observation NNS 63372 2180 11 his -PRON- PRP$ 63372 2180 12 auto auto NN 63372 2180 13 starts start VBZ 63372 2180 14 bucking bucking NN 63372 2180 15 and and CC 63372 2180 16 the the DT 63372 2180 17 main main JJ 63372 2180 18 - - HYPH 63372 2180 19 spring spring NN 63372 2180 20 of of IN 63372 2180 21 his -PRON- PRP$ 63372 2180 22 watch watch NN 63372 2180 23 breaks break NNS 63372 2180 24 , , , 63372 2180 25 so so IN 63372 2180 26 that that IN 63372 2180 27 he -PRON- PRP 63372 2180 28 must must MD 63372 2180 29 measure measure VB 63372 2180 30 " " `` 63372 2180 31 seconds second NNS 63372 2180 32 " " '' 63372 2180 33 by by IN 63372 2180 34 the the DT 63372 2180 35 crazy crazy JJ 63372 2180 36 running running NN 63372 2180 37 - - HYPH 63372 2180 38 down down NN 63372 2180 39 of of IN 63372 2180 40 his -PRON- PRP$ 63372 2180 41 watch watch NN 63372 2180 42 , , , 63372 2180 43 and and CC 63372 2180 44 distances distance NNS 63372 2180 45 with with IN 63372 2180 46 reference reference NN 63372 2180 47 to to IN 63372 2180 48 the the DT 63372 2180 49 sides side NNS 63372 2180 50 of of IN 63372 2180 51 his -PRON- PRP$ 63372 2180 52 erratic erratic JJ 63372 2180 53 auto auto NN 63372 2180 54 . . . 63372 2181 1 Despite despite IN 63372 2181 2 these these DT 63372 2181 3 handicaps handicap NNS 63372 2181 4 he -PRON- PRP 63372 2181 5 completes complete VBZ 63372 2181 6 a a DT 63372 2181 7 set set NN 63372 2181 8 of of IN 63372 2181 9 observations observation NNS 63372 2181 10 , , , 63372 2181 11 each each DT 63372 2181 12 of of IN 63372 2181 13 which which WDT 63372 2181 14 consists consist VBZ 63372 2181 15 of of IN 63372 2181 16 a a DT 63372 2181 17 time time NN 63372 2181 18 measured measure VBN 63372 2181 19 by by IN 63372 2181 20 his -PRON- PRP$ 63372 2181 21 mad mad JJ 63372 2181 22 watch watch NN 63372 2181 23 and and CC 63372 2181 24 three three CD 63372 2181 25 distances distance NNS 63372 2181 26 reckoned reckon VBN 63372 2181 27 from from IN 63372 2181 28 the the DT 63372 2181 29 sides side NNS 63372 2181 30 of of IN 63372 2181 31 his -PRON- PRP$ 63372 2181 32 bucking bucking NN 63372 2181 33 machine machine NN 63372 2181 34 . . . 63372 2182 1 Let let VB 63372 2182 2 us -PRON- PRP 63372 2182 3 assume assume VB 63372 2182 4 him -PRON- PRP 63372 2182 5 to to TO 63372 2182 6 have have VB 63372 2182 7 been be VBN 63372 2182 8 so so RB 63372 2182 9 absorbed absorb VBN 63372 2182 10 in in IN 63372 2182 11 his -PRON- PRP$ 63372 2182 12 experiment experiment NN 63372 2182 13 that that IN 63372 2182 14 he -PRON- PRP 63372 2182 15 noticed notice VBD 63372 2182 16 neither neither CC 63372 2182 17 the the DT 63372 2182 18 disorders disorder NNS 63372 2182 19 of of IN 63372 2182 20 his -PRON- PRP$ 63372 2182 21 watch watch NN 63372 2182 22 nor nor CC 63372 2182 23 the the DT 63372 2182 24 motion motion NN 63372 2182 25 of of IN 63372 2182 26 his -PRON- PRP$ 63372 2182 27 auto auto NN 63372 2182 28 . . . 63372 2183 1 He -PRON- PRP 63372 2183 2 gives give VBZ 63372 2183 3 us -PRON- PRP 63372 2183 4 his -PRON- PRP$ 63372 2183 5 sets set NNS 63372 2183 6 of of IN 63372 2183 7 measurements measurement NNS 63372 2183 8 . . . 63372 2184 1 We -PRON- PRP 63372 2184 2 remark remark VBP 63372 2184 3 that that IN 63372 2184 4 his -PRON- PRP$ 63372 2184 5 seconds second NNS 63372 2184 6 are be VBP 63372 2184 7 only only RB 63372 2184 8 small small JJ 63372 2184 9 fractions fraction NNS 63372 2184 10 of of IN 63372 2184 11 ours our NNS 63372 2184 12 , , , 63372 2184 13 also also RB 63372 2184 14 his -PRON- PRP$ 63372 2184 15 norths north NNS 63372 2184 16 and and CC 63372 2184 17 wests west NNS 63372 2184 18 are be VBP 63372 2184 19 badly badly RB 63372 2184 20 mixed mixed JJ 63372 2184 21 . . . 63372 2185 1 If if IN 63372 2185 2 we -PRON- PRP 63372 2185 3 interpret interpret VBP 63372 2185 4 his -PRON- PRP$ 63372 2185 5 sets set NNS 63372 2185 6 in in IN 63372 2185 7 terms term NNS 63372 2185 8 of of IN 63372 2185 9 our -PRON- PRP$ 63372 2185 10 stationary stationary JJ 63372 2185 11 walls wall NNS 63372 2185 12 and and CC 63372 2185 13 sober sober JJ 63372 2185 14 clock clock NN 63372 2185 15 we -PRON- PRP 63372 2185 16 find find VBP 63372 2185 17 the the DT 63372 2185 18 curious curious JJ 63372 2185 19 paradox paradox NN 63372 2185 20 that that IN 63372 2185 21 the the DT 63372 2185 22 ball ball NN 63372 2185 23 zigzagged zigzag VBD 63372 2185 24 across across IN 63372 2185 25 the the DT 63372 2185 26 room room NN 63372 2185 27 like like IN 63372 2185 28 an an DT 63372 2185 29 intoxicated intoxicated JJ 63372 2185 30 bee bee NN 63372 2185 31 . . . 63372 2186 1 He -PRON- PRP 63372 2186 2 obstinately obstinately RB 63372 2186 3 argues argue VBZ 63372 2186 4 that that IN 63372 2186 5 we -PRON- PRP 63372 2186 6 know know VBP 63372 2186 7 no no RB 63372 2186 8 more more JJR 63372 2186 9 than than IN 63372 2186 10 he -PRON- PRP 63372 2186 11 about about IN 63372 2186 12 how how WRB 63372 2186 13 the the DT 63372 2186 14 ball ball NN 63372 2186 15 actually actually RB 63372 2186 16 moved move VBD 63372 2186 17 . . . 63372 2187 1 For for IN 63372 2187 2 we -PRON- PRP 63372 2187 3 got get VBD 63372 2187 4 a a DT 63372 2187 5 smooth smooth JJ 63372 2187 6 description description NN 63372 2187 7 , , , 63372 2187 8 he -PRON- PRP 63372 2187 9 asserts assert VBZ 63372 2187 10 , , , 63372 2187 11 by by IN 63372 2187 12 choosing choose VBG 63372 2187 13 an an DT 63372 2187 14 artificially artificially RB 63372 2187 15 simple simple JJ 63372 2187 16 reference reference NN 63372 2187 17 framework framework NN 63372 2187 18 , , , 63372 2187 19 having have VBG 63372 2187 20 no no DT 63372 2187 21 necessary necessary JJ 63372 2187 22 relations relation NNS 63372 2187 23 whatever whatever WDT 63372 2187 24 to to IN 63372 2187 25 the the DT 63372 2187 26 ball ball NN 63372 2187 27 . . . 63372 2188 1 The the DT 63372 2188 2 crooked crooked JJ 63372 2188 3 path path NN 63372 2188 4 plotted plot VBD 63372 2188 5 from from IN 63372 2188 6 his -PRON- PRP$ 63372 2188 7 observations observation NNS 63372 2188 8 proves prof NNS 63372 2188 9 , , , 63372 2188 10 he -PRON- PRP 63372 2188 11 declares declare VBZ 63372 2188 12 , , , 63372 2188 13 that that IN 63372 2188 14 the the DT 63372 2188 15 ball ball NN 63372 2188 16 was be VBD 63372 2188 17 subject subject JJ 63372 2188 18 to to IN 63372 2188 19 varying vary VBG 63372 2188 20 forces force NNS 63372 2188 21 of of IN 63372 2188 22 which which WDT 63372 2188 23 we -PRON- PRP 63372 2188 24 in in IN 63372 2188 25 the the DT 63372 2188 26 room room NN 63372 2188 27 suspected suspect VBD 63372 2188 28 nothing nothing NN 63372 2188 29 . . . 63372 2189 1 He -PRON- PRP 63372 2189 2 contends contend VBZ 63372 2189 3 that that IN 63372 2189 4 our -PRON- PRP$ 63372 2189 5 room room NN 63372 2189 6 was be VBD 63372 2189 7 being be VBG 63372 2189 8 jarred jar VBN 63372 2189 9 by by IN 63372 2189 10 a a DT 63372 2189 11 system system NN 63372 2189 12 of of IN 63372 2189 13 forces force NNS 63372 2189 14 which which WDT 63372 2189 15 exactly exactly RB 63372 2189 16 compensated compensate VBD 63372 2189 17 and and CC 63372 2189 18 smoothed smooth VBD 63372 2189 19 out out RP 63372 2189 20 the the DT 63372 2189 21 real real JJ 63372 2189 22 jaggedness jaggedness NN 63372 2189 23 of of IN 63372 2189 24 path path NN 63372 2189 25 observed observe VBN 63372 2189 26 by by IN 63372 2189 27 himself -PRON- PRP 63372 2189 28 . . . 63372 2190 1 But but CC 63372 2190 2 if if IN 63372 2190 3 we -PRON- PRP 63372 2190 4 know know VBP 63372 2190 5 all all RB 63372 2190 6 about about IN 63372 2190 7 his -PRON- PRP$ 63372 2190 8 watch watch NN 63372 2190 9 and and CC 63372 2190 10 auto auto NN 63372 2190 11 we -PRON- PRP 63372 2190 12 can can MD 63372 2190 13 easily easily RB 63372 2190 14 apply apply VB 63372 2190 15 necessary necessary JJ 63372 2190 16 corrections correction NNS 63372 2190 17 to to IN 63372 2190 18 his -PRON- PRP$ 63372 2190 19 measurements measurement NNS 63372 2190 20 , , , 63372 2190 21 and and CC 63372 2190 22 , , , 63372 2190 23 fitting fit VBG 63372 2190 24 the the DT 63372 2190 25 corrected correct VBN 63372 2190 26 set set NN 63372 2190 27 to to IN 63372 2190 28 our -PRON- PRP$ 63372 2190 29 reference reference NN 63372 2190 30 - - HYPH 63372 2190 31 framework framework NN 63372 2190 32 of of IN 63372 2190 33 walls wall NNS 63372 2190 34 and and CC 63372 2190 35 clock clock NN 63372 2190 36 , , , 63372 2190 37 recover recover VB 63372 2190 38 our -PRON- PRP$ 63372 2190 39 own own JJ 63372 2190 40 smooth smooth JJ 63372 2190 41 description description NN 63372 2190 42 . . . 63372 2191 1 For for IN 63372 2191 2 consistency consistency NN 63372 2191 3 we -PRON- PRP 63372 2191 4 must must MD 63372 2191 5 carry carry VB 63372 2191 6 our -PRON- PRP$ 63372 2191 7 readjustments readjustment NNS 63372 2191 8 farther farther RB 63372 2191 9 . . . 63372 2192 1 The the DT 63372 2192 2 path path NN 63372 2192 3 mapped map VBD 63372 2192 4 from from IN 63372 2192 5 our -PRON- PRP$ 63372 2192 6 measurements measurement NNS 63372 2192 7 is be VBZ 63372 2192 8 a a DT 63372 2192 9 curve curve NN 63372 2192 10 . . . 63372 2193 1 Perhaps perhaps RB 63372 2193 2 the the DT 63372 2193 3 curvature curvature NN 63372 2193 4 was be VBD 63372 2193 5 introduced introduce VBN 63372 2193 6 by by IN 63372 2193 7 some some DT 63372 2193 8 peculiarity peculiarity NN 63372 2193 9 of of IN 63372 2193 10 our -PRON- PRP$ 63372 2193 11 reference reference NN 63372 2193 12 framework framework NN 63372 2193 13 ? ? . 63372 2194 1 Possibly possibly RB 63372 2194 2 our -PRON- PRP$ 63372 2194 3 own own JJ 63372 2194 4 room room NN 63372 2194 5 is be VBZ 63372 2194 6 being be VBG 63372 2194 7 accelerated accelerate VBN 63372 2194 8 upward upward RB 63372 2194 9 , , , 63372 2194 10 so so IN 63372 2194 11 that that IN 63372 2194 12 it -PRON- PRP 63372 2194 13 makes make VBZ 63372 2194 14 the the DT 63372 2194 15 ball ball NN 63372 2194 16 's 's POS 63372 2194 17 true true JJ 63372 2194 18 path path NN 63372 2194 19 -- -- : 63372 2194 20 whatever whatever WDT 63372 2194 21 that that DT 63372 2194 22 may may MD 63372 2194 23 be be VB 63372 2194 24 -- -- : 63372 2194 25 appear appear VB 63372 2194 26 curved curve VBN 63372 2194 27 downward downward RB 63372 2194 28 , , , 63372 2194 29 just just RB 63372 2194 30 as as IN 63372 2194 31 the the DT 63372 2194 32 autoist autoist NN 63372 2194 33 's 's POS 63372 2194 34 zigzags zigzag NNS 63372 2194 35 made make VBD 63372 2194 36 the the DT 63372 2194 37 path path NN 63372 2194 38 he -PRON- PRP 63372 2194 39 mapped map VBD 63372 2194 40 appear appear VBP 63372 2194 41 jagged jag VBN 63372 2194 42 . . . 63372 2195 1 Tradition tradition NN 63372 2195 2 attributes attribute VBZ 63372 2195 3 the the DT 63372 2195 4 downward downward JJ 63372 2195 5 curving curve VBG 63372 2195 6 to to IN 63372 2195 7 the the DT 63372 2195 8 tug tug NN 63372 2195 9 of of IN 63372 2195 10 gravity gravity NN 63372 2195 11 . . . 63372 2196 1 This this DT 63372 2196 2 force force NN 63372 2196 3 we -PRON- PRP 63372 2196 4 say say VBP 63372 2196 5 accelerates accelerate VBZ 63372 2196 6 the the DT 63372 2196 7 ball ball NN 63372 2196 8 downward downward RB 63372 2196 9 , , , 63372 2196 10 producing produce VBG 63372 2196 11 the the DT 63372 2196 12 curved curved JJ 63372 2196 13 path path NN 63372 2196 14 . . . 63372 2197 1 Is be VBZ 63372 2197 2 this this DT 63372 2197 3 the the DT 63372 2197 4 only only JJ 63372 2197 5 possible possible JJ 63372 2197 6 explanation explanation NN 63372 2197 7 ? ? . 63372 2198 1 Let let VB 63372 2198 2 us -PRON- PRP 63372 2198 3 see see VB 63372 2198 4 . . . 63372 2199 1 GRAVITATION gravitation NN 63372 2199 2 AND and CC 63372 2199 3 ACCELERATION ACCELERATION NNP 63372 2199 4 Imagine imagine VB 63372 2199 5 a a DT 63372 2199 6 man man NN 63372 2199 7 in in IN 63372 2199 8 a a DT 63372 2199 9 room room NN 63372 2199 10 out out IN 63372 2199 11 of of IN 63372 2199 12 which which WDT 63372 2199 13 he -PRON- PRP 63372 2199 14 can can MD 63372 2199 15 not not RB 63372 2199 16 see see VB 63372 2199 17 . . . 63372 2200 1 He -PRON- PRP 63372 2200 2 notices notice VBZ 63372 2200 3 that that IN 63372 2200 4 when when WRB 63372 2200 5 he -PRON- PRP 63372 2200 6 releases release VBZ 63372 2200 7 anything anything NN 63372 2200 8 it -PRON- PRP 63372 2200 9 falls fall VBZ 63372 2200 10 to to IN 63372 2200 11 the the DT 63372 2200 12 floor floor NN 63372 2200 13 with with IN 63372 2200 14 a a DT 63372 2200 15 constant constant JJ 63372 2200 16 acceleration acceleration NN 63372 2200 17 . . . 63372 2201 1 Further further RB 63372 2201 2 he -PRON- PRP 63372 2201 3 observes observe VBZ 63372 2201 4 that that IN 63372 2201 5 all all PDT 63372 2201 6 his -PRON- PRP$ 63372 2201 7 objects object NNS 63372 2201 8 , , , 63372 2201 9 independently independently RB 63372 2201 10 of of IN 63372 2201 11 their -PRON- PRP$ 63372 2201 12 chemical chemical JJ 63372 2201 13 and and CC 63372 2201 14 physical physical JJ 63372 2201 15 properties property NNS 63372 2201 16 , , , 63372 2201 17 are be VBP 63372 2201 18 affected affect VBN 63372 2201 19 in in IN 63372 2201 20 precisely precisely RB 63372 2201 21 the the DT 63372 2201 22 same same JJ 63372 2201 23 way way NN 63372 2201 24 . . . 63372 2202 1 Now now RB 63372 2202 2 , , , 63372 2202 3 he -PRON- PRP 63372 2202 4 previously previously RB 63372 2202 5 has have VBZ 63372 2202 6 experimented experiment VBN 63372 2202 7 with with IN 63372 2202 8 magnets magnet NNS 63372 2202 9 , , , 63372 2202 10 and and CC 63372 2202 11 has have VBZ 63372 2202 12 remarked remark VBN 63372 2202 13 that that IN 63372 2202 14 they -PRON- PRP 63372 2202 15 attract attract VBP 63372 2202 16 certain certain JJ 63372 2202 17 bodies body NNS 63372 2202 18 in in IN 63372 2202 19 essentially essentially RB 63372 2202 20 the the DT 63372 2202 21 same same JJ 63372 2202 22 way way NN 63372 2202 23 that that WDT 63372 2202 24 the the DT 63372 2202 25 things thing NNS 63372 2202 26 which which WDT 63372 2202 27 he -PRON- PRP 63372 2202 28 drops drop VBZ 63372 2202 29 are be VBP 63372 2202 30 " " `` 63372 2202 31 attracted attract VBN 63372 2202 32 " " '' 63372 2202 33 to to IN 63372 2202 34 whatever whatever WDT 63372 2202 35 is be VBZ 63372 2202 36 beneath beneath IN 63372 2202 37 the the DT 63372 2202 38 floor floor NN 63372 2202 39 . . . 63372 2203 1 Having have VBG 63372 2203 2 explained explain VBN 63372 2203 3 magnetic magnetic JJ 63372 2203 4 attraction attraction NN 63372 2203 5 in in IN 63372 2203 6 terms term NNS 63372 2203 7 of of IN 63372 2203 8 " " `` 63372 2203 9 forces force NNS 63372 2203 10 , , , 63372 2203 11 " " '' 63372 2203 12 he -PRON- PRP 63372 2203 13 makes make VBZ 63372 2203 14 his -PRON- PRP$ 63372 2203 15 first first JJ 63372 2203 16 hypothesis hypothesis NN 63372 2203 17 : : : 63372 2203 18 ( ( -LRB- 63372 2203 19 A a NN 63372 2203 20 ) ) -RRB- 63372 2203 21 He -PRON- PRP 63372 2203 22 and and CC 63372 2203 23 his -PRON- PRP$ 63372 2203 24 room room NN 63372 2203 25 are be VBP 63372 2203 26 in in IN 63372 2203 27 a a DT 63372 2203 28 strong strong JJ 63372 2203 29 " " `` 63372 2203 30 field field NN 63372 2203 31 of of IN 63372 2203 32 force force NN 63372 2203 33 , , , 63372 2203 34 " " '' 63372 2203 35 which which WDT 63372 2203 36 he -PRON- PRP 63372 2203 37 designates designate VBZ 63372 2203 38 gravitational gravitational JJ 63372 2203 39 . . . 63372 2204 1 This this DT 63372 2204 2 force force NN 63372 2204 3 pulls pull VBZ 63372 2204 4 all all DT 63372 2204 5 things thing NNS 63372 2204 6 downward downward RB 63372 2204 7 with with IN 63372 2204 8 a a DT 63372 2204 9 constant constant JJ 63372 2204 10 acceleration acceleration NN 63372 2204 11 . . . 63372 2205 1 Here here RB 63372 2205 2 he -PRON- PRP 63372 2205 3 notes note VBZ 63372 2205 4 a a DT 63372 2205 5 singular singular JJ 63372 2205 6 distinction distinction NN 63372 2205 7 between between IN 63372 2205 8 magnetic magnetic JJ 63372 2205 9 and and CC 63372 2205 10 gravitational gravitational JJ 63372 2205 11 " " '' 63372 2205 12 forces force NNS 63372 2205 13 " " '' 63372 2205 14 : : : 63372 2205 15 magnets magnet NNS 63372 2205 16 attract attract VBP 63372 2205 17 only only RB 63372 2205 18 a a DT 63372 2205 19 few few JJ 63372 2205 20 kinds kind NNS 63372 2205 21 of of IN 63372 2205 22 matter matter NN 63372 2205 23 , , , 63372 2205 24 notably notably RB 63372 2205 25 iron iron NN 63372 2205 26 ; ; : 63372 2205 27 the the DT 63372 2205 28 novel novel NN 63372 2205 29 " " `` 63372 2205 30 force force NN 63372 2205 31 , , , 63372 2205 32 " " '' 63372 2205 33 if if IN 63372 2205 34 indeed indeed RB 63372 2205 35 a a DT 63372 2205 36 force force NN 63372 2205 37 at at RB 63372 2205 38 all all RB 63372 2205 39 , , , 63372 2205 40 acts act VBZ 63372 2205 41 similarly similarly RB 63372 2205 42 upon upon IN 63372 2205 43 all all DT 63372 2205 44 kinds kind NNS 63372 2205 45 of of IN 63372 2205 46 matter matter NN 63372 2205 47 . . . 63372 2206 1 He -PRON- PRP 63372 2206 2 makes make VBZ 63372 2206 3 another another DT 63372 2206 4 hypothesis hypothesis NN 63372 2206 5 : : : 63372 2206 6 ( ( -LRB- 63372 2206 7 B b NN 63372 2206 8 ) ) -RRB- 63372 2206 9 His -PRON- PRP$ 63372 2206 10 room room NN 63372 2206 11 and and CC 63372 2206 12 he -PRON- PRP 63372 2206 13 are be VBP 63372 2206 14 being be VBG 63372 2206 15 accelerated accelerate VBN 63372 2206 16 upward upward RB 63372 2206 17 . . . 63372 2207 1 Either either CC 63372 2207 2 ( ( -LRB- 63372 2207 3 A a NN 63372 2207 4 ) ) -RRB- 63372 2207 5 or or CC 63372 2207 6 ( ( -LRB- 63372 2207 7 B b NN 63372 2207 8 ) ) -RRB- 63372 2207 9 describes describe VBZ 63372 2207 10 the the DT 63372 2207 11 facts fact NNS 63372 2207 12 perfectly perfectly RB 63372 2207 13 . . . 63372 2208 1 By by IN 63372 2208 2 no no DT 63372 2208 3 experiment experiment NN 63372 2208 4 can can MD 63372 2208 5 he -PRON- PRP 63372 2208 6 discriminate discriminate VB 63372 2208 7 between between IN 63372 2208 8 them -PRON- PRP 63372 2208 9 . . . 63372 2209 1 So so CC 63372 2209 2 he -PRON- PRP 63372 2209 3 takes take VBZ 63372 2209 4 the the DT 63372 2209 5 great great JJ 63372 2209 6 step step NN 63372 2209 7 , , , 63372 2209 8 and and CC 63372 2209 9 formulates formulate VBZ 63372 2209 10 the the DT 63372 2209 11 Equivalence Equivalence NNP 63372 2209 12 Hypothesis hypothesis NN 63372 2209 13 : : : 63372 2209 14 A a DT 63372 2209 15 gravitational gravitational JJ 63372 2209 16 field field NN 63372 2209 17 of of IN 63372 2209 18 force force NN 63372 2209 19 is be VBZ 63372 2209 20 precisely precisely RB 63372 2209 21 equivalent equivalent JJ 63372 2209 22 in in IN 63372 2209 23 its -PRON- PRP$ 63372 2209 24 effects effect NNS 63372 2209 25 to to IN 63372 2209 26 an an DT 63372 2209 27 artificial artificial JJ 63372 2209 28 field field NN 63372 2209 29 of of IN 63372 2209 30 force force NN 63372 2209 31 introduced introduce VBN 63372 2209 32 by by IN 63372 2209 33 accelerating accelerate VBG 63372 2209 34 the the DT 63372 2209 35 framework framework NN 63372 2209 36 of of IN 63372 2209 37 reference reference NN 63372 2209 38 , , , 63372 2209 39 so so IN 63372 2209 40 that that IN 63372 2209 41 in in IN 63372 2209 42 any any DT 63372 2209 43 small small JJ 63372 2209 44 region region NN 63372 2209 45 it -PRON- PRP 63372 2209 46 is be VBZ 63372 2209 47 impossible impossible JJ 63372 2209 48 to to TO 63372 2209 49 distinguish distinguish VB 63372 2209 50 between between IN 63372 2209 51 them -PRON- PRP 63372 2209 52 by by IN 63372 2209 53 any any DT 63372 2209 54 experiment experiment NN 63372 2209 55 whatever whatever WDT 63372 2209 56 . . . 63372 2210 1 Next next RB 63372 2210 2 reconsidering reconsider VBG 63372 2210 3 his -PRON- PRP$ 63372 2210 4 magnetic magnetic JJ 63372 2210 5 " " `` 63372 2210 6 forces force NNS 63372 2210 7 , , , 63372 2210 8 " " '' 63372 2210 9 he -PRON- PRP 63372 2210 10 extends extend VBZ 63372 2210 11 the the DT 63372 2210 12 equivalence equivalence NN 63372 2210 13 hypothesis hypothesis NN 63372 2210 14 to to TO 63372 2210 15 cover cover VB 63372 2210 16 all all DT 63372 2210 17 manifestations manifestation NNS 63372 2210 18 of of IN 63372 2210 19 force force NN 63372 2210 20 : : : 63372 2210 21 The the DT 63372 2210 22 effects effect NNS 63372 2210 23 attributed attribute VBN 63372 2210 24 to to IN 63372 2210 25 forces force NNS 63372 2210 26 of of IN 63372 2210 27 any any DT 63372 2210 28 kind kind NN 63372 2210 29 whatever whatever WDT 63372 2210 30 can can MD 63372 2210 31 be be VB 63372 2210 32 described describe VBN 63372 2210 33 equally equally RB 63372 2210 34 well well RB 63372 2210 35 by by IN 63372 2210 36 saying say VBG 63372 2210 37 that that IN 63372 2210 38 our -PRON- PRP$ 63372 2210 39 reference reference NN 63372 2210 40 frameworks framework NNS 63372 2210 41 are be VBP 63372 2210 42 accelerated accelerate VBN 63372 2210 43 ; ; : 63372 2210 44 and and CC 63372 2210 45 moreover moreover RB 63372 2210 46 there there EX 63372 2210 47 is be VBZ 63372 2210 48 possible possible JJ 63372 2210 49 no no DT 63372 2210 50 experiment experiment NN 63372 2210 51 which which WDT 63372 2210 52 will will MD 63372 2210 53 discriminate discriminate VB 63372 2210 54 between between IN 63372 2210 55 the the DT 63372 2210 56 descriptions description NNS 63372 2210 57 . . . 63372 2211 1 If if IN 63372 2211 2 the the DT 63372 2211 3 accelerations acceleration NNS 63372 2211 4 are be VBP 63372 2211 5 null null JJ 63372 2211 6 , , , 63372 2211 7 the the DT 63372 2211 8 frameworks framework NNS 63372 2211 9 are be VBP 63372 2211 10 at at IN 63372 2211 11 rest rest NN 63372 2211 12 or or CC 63372 2211 13 in in IN 63372 2211 14 uniform uniform JJ 63372 2211 15 motion motion NN 63372 2211 16 relatively relatively RB 63372 2211 17 to to IN 63372 2211 18 one one CD 63372 2211 19 another another DT 63372 2211 20 . . . 63372 2212 1 This this DT 63372 2212 2 special special JJ 63372 2212 3 case case NN 63372 2212 4 is be VBZ 63372 2212 5 the the DT 63372 2212 6 " " `` 63372 2212 7 restricted restricted JJ 63372 2212 8 " " '' 63372 2212 9 principle principle NN 63372 2212 10 of of IN 63372 2212 11 relativity relativity NN 63372 2212 12 , , , 63372 2212 13 which which WDT 63372 2212 14 asserts assert VBZ 63372 2212 15 that that IN 63372 2212 16 it -PRON- PRP 63372 2212 17 is be VBZ 63372 2212 18 impossible impossible JJ 63372 2212 19 experimentally experimentally RB 63372 2212 20 to to TO 63372 2212 21 detect detect VB 63372 2212 22 a a DT 63372 2212 23 uniform uniform JJ 63372 2212 24 motion motion NN 63372 2212 25 through through IN 63372 2212 26 the the DT 63372 2212 27 ether ether NN 63372 2212 28 . . . 63372 2213 1 Being be VBG 63372 2213 2 thus thus RB 63372 2213 3 superfluous superfluous JJ 63372 2213 4 for for IN 63372 2213 5 descriptions description NNS 63372 2213 6 of of IN 63372 2213 7 natural natural JJ 63372 2213 8 phenomena phenomenon NNS 63372 2213 9 , , , 63372 2213 10 the the DT 63372 2213 11 ether ether NN 63372 2213 12 may may MD 63372 2213 13 be be VB 63372 2213 14 abandoned abandon VBN 63372 2213 15 , , , 63372 2213 16 at at IN 63372 2213 17 least least JJS 63372 2213 18 temporarily temporarily RB 63372 2213 19 . . . 63372 2214 1 The the DT 63372 2214 2 older old JJR 63372 2214 3 physics physics NN 63372 2214 4 sought seek VBD 63372 2214 5 this this DT 63372 2214 6 absolute absolute JJ 63372 2214 7 ether ether NN 63372 2214 8 framework framework NN 63372 2214 9 to to TO 63372 2214 10 which which WDT 63372 2214 11 all all DT 63372 2214 12 motions motion NNS 63372 2214 13 could could MD 63372 2214 14 be be VB 63372 2214 15 unambiguously unambiguously RB 63372 2214 16 referred refer VBN 63372 2214 17 , , , 63372 2214 18 and and CC 63372 2214 19 failed fail VBD 63372 2214 20 to to TO 63372 2214 21 find find VB 63372 2214 22 it -PRON- PRP 63372 2214 23 . . . 63372 2215 1 The the DT 63372 2215 2 most most RBS 63372 2215 3 exacting exacting JJ 63372 2215 4 experiments experiment NNS 63372 2215 5 , , , 63372 2215 6 notably notably RB 63372 2215 7 that that DT 63372 2215 8 of of IN 63372 2215 9 Michelson Michelson NNP 63372 2215 10 - - HYPH 63372 2215 11 Morley Morley NNP 63372 2215 12 , , , 63372 2215 13 revealed reveal VBD 63372 2215 14 no no DT 63372 2215 15 trace trace NN 63372 2215 16 of of IN 63372 2215 17 the the DT 63372 2215 18 earth earth NN 63372 2215 19 's 's POS 63372 2215 20 supposed suppose VBN 63372 2215 21 motion motion NN 63372 2215 22 through through IN 63372 2215 23 the the DT 63372 2215 24 ether ether NN 63372 2215 25 . . . 63372 2216 1 Fitzgerald Fitzgerald NNP 63372 2216 2 accounted account VBD 63372 2216 3 for for IN 63372 2216 4 the the DT 63372 2216 5 failure failure NN 63372 2216 6 by by IN 63372 2216 7 assuming assume VBG 63372 2216 8 that that IN 63372 2216 9 such such JJ 63372 2216 10 motion motion NN 63372 2216 11 would would MD 63372 2216 12 remain remain VB 63372 2216 13 undetected undetected JJ 63372 2216 14 if if IN 63372 2216 15 every every DT 63372 2216 16 moving move VBG 63372 2216 17 body body NN 63372 2216 18 contracted contract VBN 63372 2216 19 by by IN 63372 2216 20 an an DT 63372 2216 21 amount amount NN 63372 2216 22 depending depend VBG 63372 2216 23 upon upon IN 63372 2216 24 its -PRON- PRP$ 63372 2216 25 velocity velocity NN 63372 2216 26 in in IN 63372 2216 27 the the DT 63372 2216 28 direction direction NN 63372 2216 29 of of IN 63372 2216 30 motion motion NN 63372 2216 31 . . . 63372 2217 1 The the DT 63372 2217 2 contraction contraction NN 63372 2217 3 for for IN 63372 2217 4 ordinary ordinary JJ 63372 2217 5 velocities velocity NNS 63372 2217 6 is be VBZ 63372 2217 7 imperceptible imperceptible JJ 63372 2217 8 . . . 63372 2218 1 Only only RB 63372 2218 2 when when WRB 63372 2218 3 as as IN 63372 2218 4 in in IN 63372 2218 5 the the DT 63372 2218 6 case case NN 63372 2218 7 of of IN 63372 2218 8 the the DT 63372 2218 9 beta beta JJ 63372 2218 10 particles particle NNS 63372 2218 11 , , , 63372 2218 12 the the DT 63372 2218 13 velocity velocity NN 63372 2218 14 is be VBZ 63372 2218 15 an an DT 63372 2218 16 appreciable appreciable JJ 63372 2218 17 fraction fraction NN 63372 2218 18 of of IN 63372 2218 19 the the DT 63372 2218 20 velocity velocity NN 63372 2218 21 of of IN 63372 2218 22 light light NN 63372 2218 23 , , , 63372 2218 24 is be VBZ 63372 2218 25 the the DT 63372 2218 26 contraction contraction NN 63372 2218 27 revealed reveal VBD 63372 2218 28 . . . 63372 2219 1 This this DT 63372 2219 2 contraction contraction NN 63372 2219 3 follows follow VBZ 63372 2219 4 immediately immediately RB 63372 2219 5 from from IN 63372 2219 6 Einstein Einstein NNP 63372 2219 7 's 's POS 63372 2219 8 generalization generalization NN 63372 2219 9 constructed construct VBN 63372 2219 10 upon upon IN 63372 2219 11 the the DT 63372 2219 12 equivalence equivalence NN 63372 2219 13 hypothesis hypothesis NN 63372 2219 14 and and CC 63372 2219 15 the the DT 63372 2219 16 restricted restricted JJ 63372 2219 17 relativity relativity NN 63372 2219 18 principle principle NN 63372 2219 19 . . . 63372 2220 1 We -PRON- PRP 63372 2220 2 shall shall MD 63372 2220 3 see see VB 63372 2220 4 that that IN 63372 2220 5 the the DT 63372 2220 6 contraction contraction NN 63372 2220 7 inevitably inevitably RB 63372 2220 8 follows follow VBZ 63372 2220 9 from from IN 63372 2220 10 the the DT 63372 2220 11 actual actual JJ 63372 2220 12 geometry geometry NN 63372 2220 13 of of IN 63372 2220 14 the the DT 63372 2220 15 universe universe NN 63372 2220 16 . . . 63372 2221 1 [ [ -LRB- 63372 2221 2 2 2 LS 63372 2221 3 ] ] -RRB- 63372 2221 4 Let let VB 63372 2221 5 us -PRON- PRP 63372 2221 6 return return VB 63372 2221 7 for for IN 63372 2221 8 a a DT 63372 2221 9 moment moment NN 63372 2221 10 to to IN 63372 2221 11 the the DT 63372 2221 12 moving move VBG 63372 2221 13 ball ball NN 63372 2221 14 . . . 63372 2222 1 Four four CD 63372 2222 2 measures measure NNS 63372 2222 3 , , , 63372 2222 4 three three CD 63372 2222 5 of of IN 63372 2222 6 distances distance NNS 63372 2222 7 and and CC 63372 2222 8 one one CD 63372 2222 9 of of IN 63372 2222 10 time time NN 63372 2222 11 , , , 63372 2222 12 are be VBP 63372 2222 13 required require VBN 63372 2222 14 in in IN 63372 2222 15 specifying specify VBG 63372 2222 16 its -PRON- PRP$ 63372 2222 17 position position NN 63372 2222 18 with with IN 63372 2222 19 reference reference NN 63372 2222 20 to to IN 63372 2222 21 some some DT 63372 2222 22 framework framework NN 63372 2222 23 at at IN 63372 2222 24 each each DT 63372 2222 25 point point NN 63372 2222 26 and and CC 63372 2222 27 at at IN 63372 2222 28 each each DT 63372 2222 29 instant instant NN 63372 2222 30 . . . 63372 2223 1 All all DT 63372 2223 2 of of IN 63372 2223 3 these these DT 63372 2223 4 measures measure NNS 63372 2223 5 can can MD 63372 2223 6 be be VB 63372 2223 7 summed sum VBN 63372 2223 8 up up RP 63372 2223 9 in in IN 63372 2223 10 one one CD 63372 2223 11 compendious compendious JJ 63372 2223 12 statement statement NN 63372 2223 13 -- -- : 63372 2223 14 the the DT 63372 2223 15 equations equation NNS 63372 2223 16 of of IN 63372 2223 17 motion motion NN 63372 2223 18 showed show VBD 63372 2223 19 how how WRB 63372 2223 20 in in IN 63372 2223 21 changing change VBG 63372 2223 22 from from IN 63372 2223 23 our -PRON- PRP$ 63372 2223 24 room room NN 63372 2223 25 to to IN 63372 2223 26 his -PRON- PRP$ 63372 2223 27 accelerated accelerate VBN 63372 2223 28 auto auto NN 63372 2223 29 we -PRON- PRP 63372 2223 30 found find VBD 63372 2223 31 a a DT 63372 2223 32 new new JJ 63372 2223 33 summary summary NN 63372 2223 34 , , , 63372 2223 35 " " '' 63372 2223 36 transformed transform VBN 63372 2223 37 equations equation NNS 63372 2223 38 , , , 63372 2223 39 " " '' 63372 2223 40 which which WDT 63372 2223 41 seemed seem VBD 63372 2223 42 to to TO 63372 2223 43 indicate indicate VB 63372 2223 44 that that IN 63372 2223 45 the the DT 63372 2223 46 ball ball NN 63372 2223 47 had have VBD 63372 2223 48 traversed traverse VBN 63372 2223 49 a a DT 63372 2223 50 strong strong JJ 63372 2223 51 , , , 63372 2223 52 variable variable JJ 63372 2223 53 field field NN 63372 2223 54 of of IN 63372 2223 55 force force NN 63372 2223 56 . . . 63372 2224 1 Is be VBZ 63372 2224 2 there there EX 63372 2224 3 then then RB 63372 2224 4 in in IN 63372 2224 5 the the DT 63372 2224 6 chaos chaos NN 63372 2224 7 of of IN 63372 2224 8 observational observational JJ 63372 2224 9 disagreements disagreement NNS 63372 2224 10 anything anything NN 63372 2224 11 which which WDT 63372 2224 12 is be VBZ 63372 2224 13 independent independent JJ 63372 2224 14 of of IN 63372 2224 15 all all DT 63372 2224 16 observers observer NNS 63372 2224 17 ? ? . 63372 2225 1 There there EX 63372 2225 2 is be VBZ 63372 2225 3 , , , 63372 2225 4 but but CC 63372 2225 5 it -PRON- PRP 63372 2225 6 is be VBZ 63372 2225 7 hidden hide VBN 63372 2225 8 at at IN 63372 2225 9 the the DT 63372 2225 10 very very JJ 63372 2225 11 heart heart NN 63372 2225 12 of of IN 63372 2225 13 nature nature NN 63372 2225 14 . . . 63372 2226 1 PATHS path VBG 63372 2226 2 THROUGH through IN 63372 2226 3 THE the DT 63372 2226 4 WORLD WORLD NNP 63372 2226 5 OF of IN 63372 2226 6 FOUR four CD 63372 2226 7 DIMENSIONS dimension NNS 63372 2226 8 To to TO 63372 2226 9 exhibit exhibit VB 63372 2226 10 this this DT 63372 2226 11 , , , 63372 2226 12 we -PRON- PRP 63372 2226 13 must must MD 63372 2226 14 recall recall VB 63372 2226 15 a a DT 63372 2226 16 familiar familiar JJ 63372 2226 17 proposition proposition NN 63372 2226 18 of of IN 63372 2226 19 geometry geometry NN 63372 2226 20 : : : 63372 2226 21 the the DT 63372 2226 22 square square NN 63372 2226 23 on on IN 63372 2226 24 the the DT 63372 2226 25 longest long JJS 63372 2226 26 side side NN 63372 2226 27 of of IN 63372 2226 28 a a DT 63372 2226 29 right right RB 63372 2226 30 - - HYPH 63372 2226 31 angled angle VBN 63372 2226 32 triangle triangle NN 63372 2226 33 is be VBZ 63372 2226 34 equal equal JJ 63372 2226 35 to to IN 63372 2226 36 the the DT 63372 2226 37 sum sum NN 63372 2226 38 of of IN 63372 2226 39 the the DT 63372 2226 40 squares square NNS 63372 2226 41 on on IN 63372 2226 42 the the DT 63372 2226 43 other other JJ 63372 2226 44 two two CD 63372 2226 45 sides side NNS 63372 2226 46 . . . 63372 2227 1 It -PRON- PRP 63372 2227 2 has have VBZ 63372 2227 3 long long RB 63372 2227 4 been be VBN 63372 2227 5 known know VBN 63372 2227 6 that that IN 63372 2227 7 from from IN 63372 2227 8 this this DT 63372 2227 9 alone alone RB 63372 2227 10 all all PDT 63372 2227 11 the the DT 63372 2227 12 metrical metrical JJ 63372 2227 13 properties property NNS 63372 2227 14 of of IN 63372 2227 15 Euclidean euclidean JJ 63372 2227 16 space space NN 63372 2227 17 -- -- : 63372 2227 18 the the DT 63372 2227 19 space space NN 63372 2227 20 in in IN 63372 2227 21 which which WDT 63372 2227 22 for for IN 63372 2227 23 2,000 2,000 CD 63372 2227 24 years year NNS 63372 2227 25 we -PRON- PRP 63372 2227 26 have have VBP 63372 2227 27 imagined imagine VBN 63372 2227 28 we -PRON- PRP 63372 2227 29 were be VBD 63372 2227 30 living live VBG 63372 2227 31 -- -- : 63372 2227 32 can can MD 63372 2227 33 be be VB 63372 2227 34 deduced deduce VBN 63372 2227 35 . . . 63372 2228 1 Metrical metrical JJ 63372 2228 2 properties property NNS 63372 2228 3 are be VBP 63372 2228 4 those those DT 63372 2228 5 depending depend VBG 63372 2228 6 upon upon IN 63372 2228 7 measurement measurement NN 63372 2228 8 . . . 63372 2229 1 Now now RB 63372 2229 2 , , , 63372 2229 3 in in IN 63372 2229 4 the the DT 63372 2229 5 geometry geometry NN 63372 2229 6 of of IN 63372 2229 7 any any DT 63372 2229 8 space space NN 63372 2229 9 , , , 63372 2229 10 Euclidean Euclidean NNP 63372 2229 11 or or CC 63372 2229 12 not not RB 63372 2229 13 , , , 63372 2229 14 there there EX 63372 2229 15 is be VBZ 63372 2229 16 a a DT 63372 2229 17 single single JJ 63372 2229 18 proposition proposition NN 63372 2229 19 of of IN 63372 2229 20 a a DT 63372 2229 21 similar similar JJ 63372 2229 22 sort sort NN 63372 2229 23 which which WDT 63372 2229 24 tells tell VBZ 63372 2229 25 us -PRON- PRP 63372 2229 26 how how WRB 63372 2229 27 to to TO 63372 2229 28 find find VB 63372 2229 29 the the DT 63372 2229 30 most most RBS 63372 2229 31 direct direct JJ 63372 2229 32 distance distance NN 63372 2229 33 between between IN 63372 2229 34 any any DT 63372 2229 35 two two CD 63372 2229 36 points point NNS 63372 2229 37 that that WDT 63372 2229 38 are be VBP 63372 2229 39 very very RB 63372 2229 40 close close JJ 63372 2229 41 together together RB 63372 2229 42 . . . 63372 2230 1 This this DT 63372 2230 2 small small JJ 63372 2230 3 distance distance NN 63372 2230 4 is be VBZ 63372 2230 5 expressed express VBN 63372 2230 6 in in IN 63372 2230 7 terms term NNS 63372 2230 8 of of IN 63372 2230 9 the the DT 63372 2230 10 two two CD 63372 2230 11 sets set NNS 63372 2230 12 of of IN 63372 2230 13 distance distance NN 63372 2230 14 measurements measurement NNS 63372 2230 15 by by IN 63372 2230 16 which which WDT 63372 2230 17 the the DT 63372 2230 18 end end NN 63372 2230 19 - - HYPH 63372 2230 20 points point NNS 63372 2230 21 are be VBP 63372 2230 22 located locate VBN 63372 2230 23 , , , 63372 2230 24 just just RB 63372 2230 25 as as IN 63372 2230 26 two two CD 63372 2230 27 neighboring neighboring NN 63372 2230 28 positions position NNS 63372 2230 29 of of IN 63372 2230 30 our -PRON- PRP$ 63372 2230 31 ball ball NN 63372 2230 32 were be VBD 63372 2230 33 located locate VBN 63372 2230 34 by by IN 63372 2230 35 two two CD 63372 2230 36 sets set NNS 63372 2230 37 of of IN 63372 2230 38 four four CD 63372 2230 39 measurements measurement NNS 63372 2230 40 each each DT 63372 2230 41 . . . 63372 2231 1 We -PRON- PRP 63372 2231 2 say say VBP 63372 2231 3 by by IN 63372 2231 4 analogy analogy NN 63372 2231 5 that that IN 63372 2231 6 two two CD 63372 2231 7 consecutive consecutive JJ 63372 2231 8 positions position NNS 63372 2231 9 of of IN 63372 2231 10 the the DT 63372 2231 11 ball ball NN 63372 2231 12 are be VBP 63372 2231 13 separated separate VBN 63372 2231 14 by by IN 63372 2231 15 a a DT 63372 2231 16 small small JJ 63372 2231 17 interval interval NN 63372 2231 18 of of IN 63372 2231 19 time time NN 63372 2231 20 - - HYPH 63372 2231 21 space space NN 63372 2231 22 . . . 63372 2232 1 From from IN 63372 2232 2 the the DT 63372 2232 3 formula formula NN 63372 2232 4 for for IN 63372 2232 5 the the DT 63372 2232 6 very very RB 63372 2232 7 small small JJ 63372 2232 8 interval interval NN 63372 2232 9 of of IN 63372 2232 10 time time NN 63372 2232 11 - - HYPH 63372 2232 12 space space NN 63372 2232 13 we -PRON- PRP 63372 2232 14 can can MD 63372 2232 15 calculate calculate VB 63372 2232 16 mathematically mathematically RB 63372 2232 17 all all PDT 63372 2232 18 the the DT 63372 2232 19 metrical metrical JJ 63372 2232 20 properties property NNS 63372 2232 21 of of IN 63372 2232 22 the the DT 63372 2232 23 time time NN 63372 2232 24 and and CC 63372 2232 25 space space NN 63372 2232 26 in in IN 63372 2232 27 which which WDT 63372 2232 28 measurements measurement NNS 63372 2232 29 for for IN 63372 2232 30 the the DT 63372 2232 31 ball ball NN 63372 2232 32 's 's POS 63372 2232 33 motion motion NN 63372 2232 34 must must MD 63372 2232 35 be be VB 63372 2232 36 made make VBN 63372 2232 37 . . . 63372 2233 1 So so RB 63372 2233 2 in in IN 63372 2233 3 any any DT 63372 2233 4 geometry geometry NN 63372 2233 5 mathematical mathematical JJ 63372 2233 6 analysis analysis NN 63372 2233 7 predicts predict VBZ 63372 2233 8 infallibly infallibly RB 63372 2233 9 the the DT 63372 2233 10 truth truth NN 63372 2233 11 about about IN 63372 2233 12 all all DT 63372 2233 13 facts fact NNS 63372 2233 14 depending depend VBG 63372 2233 15 upon upon IN 63372 2233 16 measurements measurement NNS 63372 2233 17 from from IN 63372 2233 18 the the DT 63372 2233 19 simple simple JJ 63372 2233 20 formula formula NN 63372 2233 21 of of IN 63372 2233 22 the the DT 63372 2233 23 interval interval NN 63372 2233 24 between between IN 63372 2233 25 neighboring neighboring NN 63372 2233 26 points point NNS 63372 2233 27 . . . 63372 2234 1 Thus thus RB 63372 2234 2 , , , 63372 2234 3 on on IN 63372 2234 4 a a DT 63372 2234 5 sphere sphere NN 63372 2234 6 the the DT 63372 2234 7 sum sum NN 63372 2234 8 of of IN 63372 2234 9 the the DT 63372 2234 10 angles angle NNS 63372 2234 11 of of IN 63372 2234 12 any any DT 63372 2234 13 triangle triangle NN 63372 2234 14 formed form VBN 63372 2234 15 by by IN 63372 2234 16 arcs arc NNS 63372 2234 17 of of IN 63372 2234 18 great great JJ 63372 2234 19 circles circle NNS 63372 2234 20 exceeds exceed VBZ 63372 2234 21 180 180â CD 63372 2234 22 ° ° NNS 63372 2234 23 , , , 63372 2234 24 and and CC 63372 2234 25 this this DT 63372 2234 26 follows follow VBZ 63372 2234 27 from from IN 63372 2234 28 the the DT 63372 2234 29 formula formula NN 63372 2234 30 for for IN 63372 2234 31 the the DT 63372 2234 32 shortest short JJS 63372 2234 33 ( ( -LRB- 63372 2234 34 " " `` 63372 2234 35 geodesic geodesic NN 63372 2234 36 " " '' 63372 2234 37 ) ) -RRB- 63372 2234 38 distance distance NN 63372 2234 39 between between IN 63372 2234 40 neighboring neighbor VBG 63372 2234 41 points point NNS 63372 2234 42 on on IN 63372 2234 43 the the DT 63372 2234 44 spherical spherical JJ 63372 2234 45 surface surface NN 63372 2234 46 . . . 63372 2235 1 We -PRON- PRP 63372 2235 2 saw see VBD 63372 2235 3 that that IN 63372 2235 4 it -PRON- PRP 63372 2235 5 takes take VBZ 63372 2235 6 four four CD 63372 2235 7 measurements measurement NNS 63372 2235 8 , , , 63372 2235 9 one one CD 63372 2235 10 for for IN 63372 2235 11 time time NN 63372 2235 12 and and CC 63372 2235 13 three three CD 63372 2235 14 for for IN 63372 2235 15 distances distance NNS 63372 2235 16 , , , 63372 2235 17 to to TO 63372 2235 18 fix fix VB 63372 2235 19 an an DT 63372 2235 20 elementary elementary JJ 63372 2235 21 event event NN 63372 2235 22 , , , 63372 2235 23 viz viz NNP 63372 2235 24 . . NNP 63372 2235 25 , , , 63372 2235 26 the the DT 63372 2235 27 position position NN 63372 2235 28 of of IN 63372 2235 29 the the DT 63372 2235 30 centre centre NN 63372 2235 31 of of IN 63372 2235 32 our -PRON- PRP$ 63372 2235 33 ball ball NN 63372 2235 34 at at IN 63372 2235 35 any any DT 63372 2235 36 instant instant NN 63372 2235 37 . . . 63372 2236 1 A a DT 63372 2236 2 system system NN 63372 2236 3 of of IN 63372 2236 4 all all DT 63372 2236 5 possible possible JJ 63372 2236 6 such such JJ 63372 2236 7 sets set NNS 63372 2236 8 of of IN 63372 2236 9 four four CD 63372 2236 10 measurements measurement NNS 63372 2236 11 each each DT 63372 2236 12 , , , 63372 2236 13 constitutes constitute VBZ 63372 2236 14 what what WP 63372 2236 15 mathematicians mathematician NNS 63372 2236 16 call call VBP 63372 2236 17 a a DT 63372 2236 18 four four CD 63372 2236 19 - - HYPH 63372 2236 20 dimensional dimensional JJ 63372 2236 21 space space NN 63372 2236 22 . . . 63372 2237 1 The the DT 63372 2237 2 study study NN 63372 2237 3 of of IN 63372 2237 4 the the DT 63372 2237 5 four four CD 63372 2237 6 - - HYPH 63372 2237 7 dimensional dimensional JJ 63372 2237 8 time time NN 63372 2237 9 - - HYPH 63372 2237 10 space space NN 63372 2237 11 geometry geometry NN 63372 2237 12 , , , 63372 2237 13 once once RB 63372 2237 14 its -PRON- PRP$ 63372 2237 15 shortest short JJS 63372 2237 16 - - HYPH 63372 2237 17 distance distance NN 63372 2237 18 proposition proposition NN 63372 2237 19 is be VBZ 63372 2237 20 known know VBN 63372 2237 21 , , , 63372 2237 22 reveals reveal VBZ 63372 2237 23 all all PDT 63372 2237 24 those those DT 63372 2237 25 relations relation NNS 63372 2237 26 in in IN 63372 2237 27 nature nature NN 63372 2237 28 which which WDT 63372 2237 29 can can MD 63372 2237 30 be be VB 63372 2237 31 ascertained ascertain VBN 63372 2237 32 by by IN 63372 2237 33 measurements measurement NNS 63372 2237 34 , , , 63372 2237 35 that that RB 63372 2237 36 is is RB 63372 2237 37 , , , 63372 2237 38 experimentally experimentally RB 63372 2237 39 . . . 63372 2238 1 We -PRON- PRP 63372 2238 2 have have VBP 63372 2238 3 then then RB 63372 2238 4 to to TO 63372 2238 5 find find VB 63372 2238 6 this this DT 63372 2238 7 indispensable indispensable JJ 63372 2238 8 proposition proposition NN 63372 2238 9 . . . 63372 2239 1 Imagine imagine VB 63372 2239 2 the the DT 63372 2239 3 path path NN 63372 2239 4 taken take VBN 63372 2239 5 by by IN 63372 2239 6 a a DT 63372 2239 7 particle particle NN 63372 2239 8 moving move VBG 63372 2239 9 solely solely RB 63372 2239 10 under under IN 63372 2239 11 the the DT 63372 2239 12 influence influence NN 63372 2239 13 of of IN 63372 2239 14 gravitation gravitation NN 63372 2239 15 . . . 63372 2240 1 This this DT 63372 2240 2 being be VBG 63372 2240 3 the the DT 63372 2240 4 simplest simple JJS 63372 2240 5 possible possible JJ 63372 2240 6 motion motion NN 63372 2240 7 of of IN 63372 2240 8 an an DT 63372 2240 9 actual actual JJ 63372 2240 10 particle particle NN 63372 2240 11 in in IN 63372 2240 12 the the DT 63372 2240 13 real real JJ 63372 2240 14 world world NN 63372 2240 15 , , , 63372 2240 16 it -PRON- PRP 63372 2240 17 is be VBZ 63372 2240 18 natural natural JJ 63372 2240 19 to to TO 63372 2240 20 guess guess VB 63372 2240 21 that that IN 63372 2240 22 its -PRON- PRP$ 63372 2240 23 path path NN 63372 2240 24 will will MD 63372 2240 25 be be VB 63372 2240 26 such such JJ 63372 2240 27 that that IN 63372 2240 28 the the DT 63372 2240 29 particle particle NN 63372 2240 30 moves move VBZ 63372 2240 31 from from IN 63372 2240 32 one one CD 63372 2240 33 point point NN 63372 2240 34 of of IN 63372 2240 35 time time NN 63372 2240 36 - - HYPH 63372 2240 37 space space NN 63372 2240 38 to to IN 63372 2240 39 another another DT 63372 2240 40 by by IN 63372 2240 41 the the DT 63372 2240 42 most most RBS 63372 2240 43 direct direct JJ 63372 2240 44 route route NN 63372 2240 45 . . . 63372 2241 1 This this DT 63372 2241 2 in in IN 63372 2241 3 fact fact NN 63372 2241 4 is be VBZ 63372 2241 5 verified verify VBN 63372 2241 6 by by IN 63372 2241 7 forming form VBG 63372 2241 8 the the DT 63372 2241 9 equations equation NNS 63372 2241 10 of of IN 63372 2241 11 the the DT 63372 2241 12 free free JJ 63372 2241 13 particle particle NN 63372 2241 14 's 's POS 63372 2241 15 motion motion NN 63372 2241 16 , , , 63372 2241 17 which which WDT 63372 2241 18 turn turn VBP 63372 2241 19 out out RP 63372 2241 20 to to TO 63372 2241 21 be be VB 63372 2241 22 precisely precisely RB 63372 2241 23 those those DT 63372 2241 24 that that WDT 63372 2241 25 specify specify VBP 63372 2241 26 a a DT 63372 2241 27 geodesic geodesic NN 63372 2241 28 ( ( -LRB- 63372 2241 29 most most RBS 63372 2241 30 direct direct JJ 63372 2241 31 line line NN 63372 2241 32 ) ) -RRB- 63372 2241 33 joining join VBG 63372 2241 34 the the DT 63372 2241 35 two two CD 63372 2241 36 points point NNS 63372 2241 37 . . . 63372 2242 1 On on IN 63372 2242 2 the the DT 63372 2242 3 ( ( -LRB- 63372 2242 4 two two CD 63372 2242 5 - - HYPH 63372 2242 6 dimensional dimensional JJ 63372 2242 7 ) ) -RRB- 63372 2242 8 surface surface NN 63372 2242 9 of of IN 63372 2242 10 a a DT 63372 2242 11 sphere sphere NN 63372 2242 12 such such PDT 63372 2242 13 a a DT 63372 2242 14 line line NN 63372 2242 15 is be VBZ 63372 2242 16 the the DT 63372 2242 17 position position NN 63372 2242 18 taken take VBN 63372 2242 19 by by IN 63372 2242 20 a a DT 63372 2242 21 string string NN 63372 2242 22 stretched stretch VBD 63372 2242 23 between between IN 63372 2242 24 two two CD 63372 2242 25 points point NNS 63372 2242 26 on on IN 63372 2242 27 the the DT 63372 2242 28 surface surface NN 63372 2242 29 , , , 63372 2242 30 and and CC 63372 2242 31 this this DT 63372 2242 32 is be VBZ 63372 2242 33 the the DT 63372 2242 34 shortest short JJS 63372 2242 35 distance distance NN 63372 2242 36 on on IN 63372 2242 37 the the DT 63372 2242 38 surface surface NN 63372 2242 39 between between IN 63372 2242 40 them -PRON- PRP 63372 2242 41 . . . 63372 2243 1 But but CC 63372 2243 2 in in IN 63372 2243 3 the the DT 63372 2243 4 time time NN 63372 2243 5 - - HYPH 63372 2243 6 space space NN 63372 2243 7 geometry geometry NN 63372 2243 8 we -PRON- PRP 63372 2243 9 find find VBP 63372 2243 10 a a DT 63372 2243 11 remarkable remarkable JJ 63372 2243 12 distinction distinction NN 63372 2243 13 : : : 63372 2243 14 the the DT 63372 2243 15 interval interval NN 63372 2243 16 between between IN 63372 2243 17 any any DT 63372 2243 18 two two CD 63372 2243 19 points point NNS 63372 2243 20 of of IN 63372 2243 21 the the DT 63372 2243 22 path path NN 63372 2243 23 taken take VBN 63372 2243 24 is be VBZ 63372 2243 25 the the DT 63372 2243 26 longest long JJS 63372 2243 27 possible possible JJ 63372 2243 28 , , , 63372 2243 29 and and CC 63372 2243 30 between between IN 63372 2243 31 any any DT 63372 2243 32 two two CD 63372 2243 33 points point NNS 63372 2243 34 there there EX 63372 2243 35 is be VBZ 63372 2243 36 only only RB 63372 2243 37 one one CD 63372 2243 38 longest long JJS 63372 2243 39 path path NN 63372 2243 40 . . . 63372 2244 1 Translated translate VBN 63372 2244 2 into into IN 63372 2244 3 ordinary ordinary JJ 63372 2244 4 space space NN 63372 2244 5 and and CC 63372 2244 6 time time NN 63372 2244 7 this this DT 63372 2244 8 merely merely RB 63372 2244 9 asserts assert VBZ 63372 2244 10 that that IN 63372 2244 11 the the DT 63372 2244 12 time time NN 63372 2244 13 taken take VBN 63372 2244 14 between between IN 63372 2244 15 any any DT 63372 2244 16 two two CD 63372 2244 17 points point NNS 63372 2244 18 on on IN 63372 2244 19 the the DT 63372 2244 20 natural natural JJ 63372 2244 21 path path NN 63372 2244 22 is be VBZ 63372 2244 23 the the DT 63372 2244 24 longest long JJS 63372 2244 25 possible possible JJ 63372 2244 26 . . . 63372 2245 1 Recall recall VB 63372 2245 2 now now RB 63372 2245 3 that that IN 63372 2245 4 when when WRB 63372 2245 5 the the DT 63372 2245 6 line line NN 63372 2245 7 - - HYPH 63372 2245 8 formula formula NN 63372 2245 9 for for IN 63372 2245 10 any any DT 63372 2245 11 kind kind NN 63372 2245 12 of of IN 63372 2245 13 space space NN 63372 2245 14 is be VBZ 63372 2245 15 known know VBN 63372 2245 16 all all PDT 63372 2245 17 the the DT 63372 2245 18 metrical metrical JJ 63372 2245 19 properties property NNS 63372 2245 20 of of IN 63372 2245 21 that that DT 63372 2245 22 space space NN 63372 2245 23 are be VBP 63372 2245 24 completely completely RB 63372 2245 25 determined determine VBN 63372 2245 26 , , , 63372 2245 27 and and CC 63372 2245 28 combine combine VB 63372 2245 29 with with IN 63372 2245 30 this this DT 63372 2245 31 what what WP 63372 2245 32 we -PRON- PRP 63372 2245 33 have have VBP 63372 2245 34 just just RB 63372 2245 35 found find VBN 63372 2245 36 , , , 63372 2245 37 namely namely RB 63372 2245 38 , , , 63372 2245 39 the the DT 63372 2245 40 equations equation NNS 63372 2245 41 of of IN 63372 2245 42 motion motion NN 63372 2245 43 of of IN 63372 2245 44 a a DT 63372 2245 45 particle particle NN 63372 2245 46 subject subject NN 63372 2245 47 only only RB 63372 2245 48 to to IN 63372 2245 49 gravitation gravitation NN 63372 2245 50 are be VBP 63372 2245 51 the the DT 63372 2245 52 same same JJ 63372 2245 53 equations equation NNS 63372 2245 54 as as IN 63372 2245 55 those those DT 63372 2245 56 which which WDT 63372 2245 57 fix fix VBP 63372 2245 58 the the DT 63372 2245 59 line line NN 63372 2245 60 - - HYPH 63372 2245 61 formula formula NN 63372 2245 62 for for IN 63372 2245 63 the the DT 63372 2245 64 four four CD 63372 2245 65 - - HYPH 63372 2245 66 dimensional dimensional JJ 63372 2245 67 time time NN 63372 2245 68 - - HYPH 63372 2245 69 space space NN 63372 2245 70 . . . 63372 2246 1 Since since IN 63372 2246 2 gravitation gravitation NN 63372 2246 3 alone alone RB 63372 2246 4 determines determine VBZ 63372 2246 5 the the DT 63372 2246 6 motion motion NN 63372 2246 7 of of IN 63372 2246 8 the the DT 63372 2246 9 particle particle NN 63372 2246 10 , , , 63372 2246 11 and and CC 63372 2246 12 since since IN 63372 2246 13 this this DT 63372 2246 14 motion motion NN 63372 2246 15 is be VBZ 63372 2246 16 completely completely RB 63372 2246 17 described describe VBN 63372 2246 18 by by IN 63372 2246 19 the the DT 63372 2246 20 very very JJ 63372 2246 21 equations equation NNS 63372 2246 22 which which WDT 63372 2246 23 fix fix VBP 63372 2246 24 all all PDT 63372 2246 25 the the DT 63372 2246 26 metrical metrical JJ 63372 2246 27 properties property NNS 63372 2246 28 of of IN 63372 2246 29 time time NN 63372 2246 30 - - HYPH 63372 2246 31 space space NN 63372 2246 32 , , , 63372 2246 33 it -PRON- PRP 63372 2246 34 follows follow VBZ 63372 2246 35 that that IN 63372 2246 36 the the DT 63372 2246 37 metrical metrical NN 63372 2246 38 ( ( -LRB- 63372 2246 39 experimentally experimentally RB 63372 2246 40 determinable determinable JJ 63372 2246 41 ) ) -RRB- 63372 2246 42 properties property NNS 63372 2246 43 of of IN 63372 2246 44 time time NN 63372 2246 45 - - HYPH 63372 2246 46 space space NN 63372 2246 47 are be VBP 63372 2246 48 equivalent equivalent JJ 63372 2246 49 to to IN 63372 2246 50 those those DT 63372 2246 51 of of IN 63372 2246 52 gravitation gravitation NN 63372 2246 53 , , , 63372 2246 54 in in IN 63372 2246 55 the the DT 63372 2246 56 sense sense NN 63372 2246 57 that that IN 63372 2246 58 each each DT 63372 2246 59 set set NN 63372 2246 60 of of IN 63372 2246 61 properties property NNS 63372 2246 62 implies imply VBZ 63372 2246 63 the the DT 63372 2246 64 other other JJ 63372 2246 65 . . . 63372 2247 1 THE the DT 63372 2247 2 UNIVERSE UNIVERSE NNP 63372 2247 3 OF of IN 63372 2247 4 SPACE SPACE NNP 63372 2247 5 - - HYPH 63372 2247 6 TIME TIME NNP 63372 2247 7 We -PRON- PRP 63372 2247 8 have have VBP 63372 2247 9 found find VBN 63372 2247 10 the the DT 63372 2247 11 thing thing NN 63372 2247 12 in in IN 63372 2247 13 nature nature NN 63372 2247 14 which which WDT 63372 2247 15 is be VBZ 63372 2247 16 independent independent JJ 63372 2247 17 of of IN 63372 2247 18 all all DT 63372 2247 19 observers observer NNS 63372 2247 20 , , , 63372 2247 21 and and CC 63372 2247 22 it -PRON- PRP 63372 2247 23 turns turn VBZ 63372 2247 24 out out RP 63372 2247 25 to to TO 63372 2247 26 be be VB 63372 2247 27 the the DT 63372 2247 28 very very JJ 63372 2247 29 structure structure NN 63372 2247 30 of of IN 63372 2247 31 time time NN 63372 2247 32 - - HYPH 63372 2247 33 space space NN 63372 2247 34 itself -PRON- PRP 63372 2247 35 . . . 63372 2248 1 The the DT 63372 2248 2 motion motion NN 63372 2248 3 of of IN 63372 2248 4 the the DT 63372 2248 5 free free JJ 63372 2248 6 particle particle NN 63372 2248 7 obviously obviously RB 63372 2248 8 is be VBZ 63372 2248 9 a a DT 63372 2248 10 thing thing NN 63372 2248 11 unconditioned unconditione VBN 63372 2248 12 by by IN 63372 2248 13 accidents accident NNS 63372 2248 14 of of IN 63372 2248 15 observation observation NN 63372 2248 16 ; ; : 63372 2248 17 the the DT 63372 2248 18 particle particle NN 63372 2248 19 under under IN 63372 2248 20 the the DT 63372 2248 21 influence influence NN 63372 2248 22 of of IN 63372 2248 23 gravitation gravitation NN 63372 2248 24 alone alone RB 63372 2248 25 must must MD 63372 2248 26 go go VB 63372 2248 27 a a DT 63372 2248 28 way way NN 63372 2248 29 of of IN 63372 2248 30 its -PRON- PRP$ 63372 2248 31 own own JJ 63372 2248 32 . . . 63372 2249 1 And and CC 63372 2249 2 if if IN 63372 2249 3 some some DT 63372 2249 4 observer observer NN 63372 2249 5 in in IN 63372 2249 6 an an DT 63372 2249 7 artificial artificial JJ 63372 2249 8 field field NN 63372 2249 9 of of IN 63372 2249 10 force force NN 63372 2249 11 produced produce VBN 63372 2249 12 by by IN 63372 2249 13 the the DT 63372 2249 14 acceleration acceleration NN 63372 2249 15 of of IN 63372 2249 16 his -PRON- PRP$ 63372 2249 17 reference reference NN 63372 2249 18 framework framework NN 63372 2249 19 describes describe VBZ 63372 2249 20 the the DT 63372 2249 21 path path NN 63372 2249 22 as as IN 63372 2249 23 knotted knot VBN 63372 2249 24 , , , 63372 2249 25 he -PRON- PRP 63372 2249 26 merely merely RB 63372 2249 27 is be VBZ 63372 2249 28 foisting foist VBG 63372 2249 29 eccentricities eccentricity NNS 63372 2249 30 of of IN 63372 2249 31 his -PRON- PRP$ 63372 2249 32 own own JJ 63372 2249 33 motion motion NN 63372 2249 34 upon upon IN 63372 2249 35 the the DT 63372 2249 36 direct direct JJ 63372 2249 37 path path NN 63372 2249 38 of of IN 63372 2249 39 the the DT 63372 2249 40 particle particle NN 63372 2249 41 . . . 63372 2250 1 The the DT 63372 2250 2 conclusion conclusion NN 63372 2250 3 is be VBZ 63372 2250 4 rational rational JJ 63372 2250 5 , , , 63372 2250 6 for for IN 63372 2250 7 we -PRON- PRP 63372 2250 8 believe believe VBP 63372 2250 9 that that DT 63372 2250 10 time time NN 63372 2250 11 - - HYPH 63372 2250 12 space space NN 63372 2250 13 exists exist VBZ 63372 2250 14 independently independently RB 63372 2250 15 of of IN 63372 2250 16 any any DT 63372 2250 17 man man NN 63372 2250 18 's 's POS 63372 2250 19 way way NN 63372 2250 20 of of IN 63372 2250 21 perceiving perceive VBG 63372 2250 22 it -PRON- PRP 63372 2250 23 . . . 63372 2251 1 Incidentally incidentally RB 63372 2251 2 note note VB 63372 2251 3 that that IN 63372 2251 4 this this DT 63372 2251 5 space space NN 63372 2251 6 is be VBZ 63372 2251 7 that that DT 63372 2251 8 of of IN 63372 2251 9 the the DT 63372 2251 10 physical physical JJ 63372 2251 11 world world NN 63372 2251 12 . . . 63372 2252 1 For for IN 63372 2252 2 only only RB 63372 2252 3 by by IN 63372 2252 4 measurements measurement NNS 63372 2252 5 of of IN 63372 2252 6 distances distance NNS 63372 2252 7 and and CC 63372 2252 8 times time NNS 63372 2252 9 can can MD 63372 2252 10 we -PRON- PRP 63372 2252 11 become become VB 63372 2252 12 aware aware JJ 63372 2252 13 of of IN 63372 2252 14 our -PRON- PRP$ 63372 2252 15 extension extension NN 63372 2252 16 in in IN 63372 2252 17 time time NN 63372 2252 18 and and CC 63372 2252 19 space space NN 63372 2252 20 . . . 63372 2253 1 If if IN 63372 2253 2 beyond beyond IN 63372 2253 3 this this DT 63372 2253 4 time time NN 63372 2253 5 - - HYPH 63372 2253 6 space space NN 63372 2253 7 geometry geometry NN 63372 2253 8 of of IN 63372 2253 9 measurements measurement NNS 63372 2253 10 there there EX 63372 2253 11 is be VBZ 63372 2253 12 some some DT 63372 2253 13 " " `` 63372 2253 14 absolute absolute JJ 63372 2253 15 geometry geometry NN 63372 2253 16 , , , 63372 2253 17 " " `` 63372 2253 18 science science NN 63372 2253 19 can can MD 63372 2253 20 have have VB 63372 2253 21 no no DT 63372 2253 22 concern concern NN 63372 2253 23 with with IN 63372 2253 24 it -PRON- PRP 63372 2253 25 , , , 63372 2253 26 for for IN 63372 2253 27 never never RB 63372 2253 28 can can MD 63372 2253 29 it -PRON- PRP 63372 2253 30 be be VB 63372 2253 31 revealed reveal VBN 63372 2253 32 by by IN 63372 2253 33 the the DT 63372 2253 34 one one CD 63372 2253 35 exploring explore VBG 63372 2253 36 device device NN 63372 2253 37 we -PRON- PRP 63372 2253 38 possess possess VBP 63372 2253 39 -- -- : 63372 2253 40 measurement measurement NN 63372 2253 41 . . . 63372 2254 1 We -PRON- PRP 63372 2254 2 have have VBP 63372 2254 3 followed follow VBN 63372 2254 4 a a DT 63372 2254 5 single single JJ 63372 2254 6 particle particle NN 63372 2254 7 . . . 63372 2255 1 Let let VB 63372 2255 2 us -PRON- PRP 63372 2255 3 now now RB 63372 2255 4 form form VB 63372 2255 5 a a DT 63372 2255 6 picture picture NN 63372 2255 7 of of IN 63372 2255 8 several several JJ 63372 2255 9 . . . 63372 2256 1 Any any DT 63372 2256 2 event event NN 63372 2256 3 can can MD 63372 2256 4 be be VB 63372 2256 5 analyzed analyze VBN 63372 2256 6 into into IN 63372 2256 7 a a DT 63372 2256 8 multitude multitude NN 63372 2256 9 of of IN 63372 2256 10 coincidences coincidence NNS 63372 2256 11 in in IN 63372 2256 12 time time NN 63372 2256 13 - - HYPH 63372 2256 14 space space NN 63372 2256 15 . . . 63372 2257 1 For for IN 63372 2257 2 consider consider VB 63372 2257 3 two two CD 63372 2257 4 moving move VBG 63372 2257 5 particles particle NNS 63372 2257 6 -- -- : 63372 2257 7 say say VBP 63372 2257 8 electrons electron NNS 63372 2257 9 . . . 63372 2258 1 If if IN 63372 2258 2 they -PRON- PRP 63372 2258 3 collide collide VBP 63372 2258 4 they -PRON- PRP 63372 2258 5 both both DT 63372 2258 6 are be VBP 63372 2258 7 in in IN 63372 2258 8 very very RB 63372 2258 9 approximately approximately RB 63372 2258 10 one one CD 63372 2258 11 place place NN 63372 2258 12 at at IN 63372 2258 13 the the DT 63372 2258 14 same same JJ 63372 2258 15 time time NN 63372 2258 16 . . . 63372 2259 1 We -PRON- PRP 63372 2259 2 imagine imagine VBP 63372 2259 3 the the DT 63372 2259 4 path path NN 63372 2259 5 of of IN 63372 2259 6 an an DT 63372 2259 7 electron electron NN 63372 2259 8 through through IN 63372 2259 9 time time NN 63372 2259 10 - - HYPH 63372 2259 11 space space NN 63372 2259 12 plotted plot VBN 63372 2259 13 by by IN 63372 2259 14 a a DT 63372 2259 15 line line NN 63372 2259 16 ( ( -LRB- 63372 2259 17 in in IN 63372 2259 18 four four CD 63372 2259 19 - - HYPH 63372 2259 20 dimensional dimensional JJ 63372 2259 21 space space NN 63372 2259 22 ) ) -RRB- 63372 2259 23 , , , 63372 2259 24 which which WDT 63372 2259 25 will will MD 63372 2259 26 deviate deviate VB 63372 2259 27 from from IN 63372 2259 28 a a DT 63372 2259 29 " " `` 63372 2259 30 most most RBS 63372 2259 31 direct direct JJ 63372 2259 32 " " '' 63372 2259 33 ( ( -LRB- 63372 2259 34 geodesic geodesic NN 63372 2259 35 ) ) -RRB- 63372 2259 36 path path NN 63372 2259 37 if if IN 63372 2259 38 the the DT 63372 2259 39 electron electron NN 63372 2259 40 is be VBZ 63372 2259 41 subjected subject VBN 63372 2259 42 to to IN 63372 2259 43 forces force NNS 63372 2259 44 . . . 63372 2260 1 This this DT 63372 2260 2 is be VBZ 63372 2260 3 the the DT 63372 2260 4 " " `` 63372 2260 5 world world NN 63372 2260 6 - - HYPH 63372 2260 7 line line NN 63372 2260 8 " " '' 63372 2260 9 of of IN 63372 2260 10 the the DT 63372 2260 11 electron electron NN 63372 2260 12 . . . 63372 2261 1 If if IN 63372 2261 2 the the DT 63372 2261 3 world world NN 63372 2261 4 lines line NNS 63372 2261 5 of of IN 63372 2261 6 several several JJ 63372 2261 7 electrons electron NNS 63372 2261 8 intersect intersect VBP 63372 2261 9 at at IN 63372 2261 10 one one CD 63372 2261 11 point point NN 63372 2261 12 in in IN 63372 2261 13 time time NN 63372 2261 14 - - HYPH 63372 2261 15 space space NN 63372 2261 16 , , , 63372 2261 17 the the DT 63372 2261 18 intersection intersection NN 63372 2261 19 pictures picture VBZ 63372 2261 20 the the DT 63372 2261 21 fact fact NN 63372 2261 22 of of IN 63372 2261 23 their -PRON- PRP$ 63372 2261 24 coincidence coincidence NN 63372 2261 25 somewhere somewhere RB 63372 2261 26 and and CC 63372 2261 27 somewhen somewhen NNP 63372 2261 28 ; ; : 63372 2261 29 for for IN 63372 2261 30 all all DT 63372 2261 31 their -PRON- PRP$ 63372 2261 32 world world NN 63372 2261 33 - - HYPH 63372 2261 34 lines line NNS 63372 2261 35 having have VBG 63372 2261 36 a a DT 63372 2261 37 time time NN 63372 2261 38 - - HYPH 63372 2261 39 space space NN 63372 2261 40 point point NN 63372 2261 41 in in IN 63372 2261 42 common common JJ 63372 2261 43 , , , 63372 2261 44 at at IN 63372 2261 45 some some DT 63372 2261 46 instant instant NN 63372 2261 47 they -PRON- PRP 63372 2261 48 must must MD 63372 2261 49 have have VB 63372 2261 50 been be VBN 63372 2261 51 in in IN 63372 2261 52 collision collision NN 63372 2261 53 . . . 63372 2262 1 Each each DT 63372 2262 2 point point NN 63372 2262 3 of of IN 63372 2262 4 a a DT 63372 2262 5 world world NN 63372 2262 6 - - HYPH 63372 2262 7 line line NN 63372 2262 8 pictures picture VBZ 63372 2262 9 the the DT 63372 2262 10 position position NN 63372 2262 11 at at IN 63372 2262 12 a a DT 63372 2262 13 certain certain JJ 63372 2262 14 place place NN 63372 2262 15 at at IN 63372 2262 16 a a DT 63372 2262 17 certain certain JJ 63372 2262 18 time time NN 63372 2262 19 ; ; : 63372 2262 20 and and CC 63372 2262 21 it -PRON- PRP 63372 2262 22 is be VBZ 63372 2262 23 the the DT 63372 2262 24 intersections intersection NNS 63372 2262 25 of of IN 63372 2262 26 world world NN 63372 2262 27 - - HYPH 63372 2262 28 lines line NNS 63372 2262 29 which which WDT 63372 2262 30 correspond correspond VBP 63372 2262 31 to to IN 63372 2262 32 physical physical JJ 63372 2262 33 events event NNS 63372 2262 34 . . . 63372 2263 1 Of of IN 63372 2263 2 what what WP 63372 2263 3 lies lie VBZ 63372 2263 4 between between IN 63372 2263 5 the the DT 63372 2263 6 intersections intersection NNS 63372 2263 7 we -PRON- PRP 63372 2263 8 have have VBP 63372 2263 9 no no DT 63372 2263 10 experimental experimental JJ 63372 2263 11 knowledge knowledge NN 63372 2263 12 . . . 63372 2264 1 Imagine imagine VB 63372 2264 2 the the DT 63372 2264 3 world world NN 63372 2264 4 - - HYPH 63372 2264 5 lines line NNS 63372 2264 6 of of IN 63372 2264 7 all all PDT 63372 2264 8 the the DT 63372 2264 9 electrons electron NNS 63372 2264 10 in in IN 63372 2264 11 the the DT 63372 2264 12 universe universe NN 63372 2264 13 threading threading NN 63372 2264 14 time time NN 63372 2264 15 - - HYPH 63372 2264 16 space space NN 63372 2264 17 like like IN 63372 2264 18 threads thread NNS 63372 2264 19 in in IN 63372 2264 20 a a DT 63372 2264 21 jelly jelly NN 63372 2264 22 . . . 63372 2265 1 The the DT 63372 2265 2 intersections intersection NNS 63372 2265 3 of of IN 63372 2265 4 the the DT 63372 2265 5 tangle tangle NN 63372 2265 6 are be VBP 63372 2265 7 a a DT 63372 2265 8 complete complete JJ 63372 2265 9 history history NN 63372 2265 10 of of IN 63372 2265 11 all all DT 63372 2265 12 physical physical JJ 63372 2265 13 events event NNS 63372 2265 14 . . . 63372 2266 1 Now now RB 63372 2266 2 distort distort VB 63372 2266 3 the the DT 63372 2266 4 jelly jelly NN 63372 2266 5 . . . 63372 2267 1 Clearly clearly RB 63372 2267 2 the the DT 63372 2267 3 mutual mutual JJ 63372 2267 4 order order NN 63372 2267 5 of of IN 63372 2267 6 the the DT 63372 2267 7 intersections intersection NNS 63372 2267 8 will will MD 63372 2267 9 be be VB 63372 2267 10 unchanged unchanged JJ 63372 2267 11 , , , 63372 2267 12 but but CC 63372 2267 13 the the DT 63372 2267 14 distances distance NNS 63372 2267 15 between between IN 63372 2267 16 them -PRON- PRP 63372 2267 17 will will MD 63372 2267 18 be be VB 63372 2267 19 shortened shorten VBN 63372 2267 20 or or CC 63372 2267 21 lengthened lengthen VBN 63372 2267 22 . . . 63372 2268 1 To to IN 63372 2268 2 a a DT 63372 2268 3 distortion distortion NN 63372 2268 4 of of IN 63372 2268 5 the the DT 63372 2268 6 jelly jelly NNP 63372 2268 7 corresponds correspond VBZ 63372 2268 8 a a DT 63372 2268 9 special special JJ 63372 2268 10 choice choice NN 63372 2268 11 ( ( -LRB- 63372 2268 12 by by IN 63372 2268 13 some some DT 63372 2268 14 observer observer NN 63372 2268 15 ) ) -RRB- 63372 2268 16 of of IN 63372 2268 17 a a DT 63372 2268 18 reference reference NN 63372 2268 19 framework framework NN 63372 2268 20 for for IN 63372 2268 21 describing describe VBG 63372 2268 22 the the DT 63372 2268 23 order order NN 63372 2268 24 of of IN 63372 2268 25 events event NNS 63372 2268 26 . . . 63372 2269 1 He -PRON- PRP 63372 2269 2 can can MD 63372 2269 3 not not RB 63372 2269 4 change change VB 63372 2269 5 the the DT 63372 2269 6 natural natural JJ 63372 2269 7 sequence sequence NN 63372 2269 8 of of IN 63372 2269 9 events event NNS 63372 2269 10 . . . 63372 2270 1 Again again RB 63372 2270 2 we -PRON- PRP 63372 2270 3 have have VBP 63372 2270 4 found find VBN 63372 2270 5 something something NN 63372 2270 6 which which WDT 63372 2270 7 is be VBZ 63372 2270 8 independent independent JJ 63372 2270 9 of of IN 63372 2270 10 all all DT 63372 2270 11 observers observer NNS 63372 2270 12 . . . 63372 2271 1 We -PRON- PRP 63372 2271 2 can can MD 63372 2271 3 now now RB 63372 2271 4 recapitulate recapitulate VB 63372 2271 5 our -PRON- PRP$ 63372 2271 6 conclusions conclusion NNS 63372 2271 7 and and CC 63372 2271 8 state state NN 63372 2271 9 the the DT 63372 2271 10 principle principle NN 63372 2271 11 of of IN 63372 2271 12 relativity relativity NN 63372 2271 13 in in IN 63372 2271 14 its -PRON- PRP$ 63372 2271 15 most most RBS 63372 2271 16 general general JJ 63372 2271 17 form form NN 63372 2271 18 . . . 63372 2272 1 ( ( -LRB- 63372 2272 2 1 1 LS 63372 2272 3 ) ) -RRB- 63372 2272 4 Observers observer NNS 63372 2272 5 describe describe VBP 63372 2272 6 events event NNS 63372 2272 7 by by IN 63372 2272 8 measures measure NNS 63372 2272 9 of of IN 63372 2272 10 times time NNS 63372 2272 11 and and CC 63372 2272 12 distances distance NNS 63372 2272 13 made make VBN 63372 2272 14 with with IN 63372 2272 15 regard regard NN 63372 2272 16 to to IN 63372 2272 17 their -PRON- PRP$ 63372 2272 18 frameworks framework NNS 63372 2272 19 of of IN 63372 2272 20 reference reference NN 63372 2272 21 . . . 63372 2273 1 ( ( -LRB- 63372 2273 2 2 2 LS 63372 2273 3 ) ) -RRB- 63372 2273 4 The the DT 63372 2273 5 complete complete JJ 63372 2273 6 history history NN 63372 2273 7 of of IN 63372 2273 8 any any DT 63372 2273 9 event event NN 63372 2273 10 is be VBZ 63372 2273 11 summarized summarize VBN 63372 2273 12 in in IN 63372 2273 13 a a DT 63372 2273 14 set set NN 63372 2273 15 of of IN 63372 2273 16 equations equation NNS 63372 2273 17 giving give VBG 63372 2273 18 the the DT 63372 2273 19 positions position NNS 63372 2273 20 of of IN 63372 2273 21 all all PDT 63372 2273 22 the the DT 63372 2273 23 particles particle NNS 63372 2273 24 involved involve VBN 63372 2273 25 at at IN 63372 2273 26 every every DT 63372 2273 27 instant instant NN 63372 2273 28 . . . 63372 2274 1 ( ( -LRB- 63372 2274 2 3 3 LS 63372 2274 3 ) ) -RRB- 63372 2274 4 Two two CD 63372 2274 5 possibilities possibility NNS 63372 2274 6 arise arise VBP 63372 2274 7 . . . 63372 2275 1 ( ( -LRB- 63372 2275 2 A a NN 63372 2275 3 ) ) -RRB- 63372 2275 4 Either either CC 63372 2275 5 these these DT 63372 2275 6 equations equation NNS 63372 2275 7 are be VBP 63372 2275 8 the the DT 63372 2275 9 same same JJ 63372 2275 10 in in IN 63372 2275 11 form form NN 63372 2275 12 for for IN 63372 2275 13 all all DT 63372 2275 14 space space NN 63372 2275 15 - - HYPH 63372 2275 16 time time NN 63372 2275 17 reference reference NN 63372 2275 18 frameworks framework NNS 63372 2275 19 , , , 63372 2275 20 persisting persist VBG 63372 2275 21 formally formally RB 63372 2275 22 unchanged unchanged JJ 63372 2275 23 for for IN 63372 2275 24 all all DT 63372 2275 25 shifts shift NNS 63372 2275 26 of of IN 63372 2275 27 the the DT 63372 2275 28 reference reference NN 63372 2275 29 scheme scheme NN 63372 2275 30 ; ; : 63372 2275 31 or or CC 63372 2275 32 ( ( -LRB- 63372 2275 33 B b NN 63372 2275 34 ) ) -RRB- 63372 2275 35 , , , 63372 2275 36 they -PRON- PRP 63372 2275 37 subsist subsist VBP 63372 2275 38 only only RB 63372 2275 39 when when WRB 63372 2275 40 some some DT 63372 2275 41 special special JJ 63372 2275 42 framework framework NN 63372 2275 43 is be VBZ 63372 2275 44 used use VBN 63372 2275 45 , , , 63372 2275 46 altering alter VBG 63372 2275 47 their -PRON- PRP$ 63372 2275 48 form form NN 63372 2275 49 as as IN 63372 2275 50 they -PRON- PRP 63372 2275 51 are be VBP 63372 2275 52 referred refer VBN 63372 2275 53 to to IN 63372 2275 54 different different JJ 63372 2275 55 frameworks framework NNS 63372 2275 56 . . . 63372 2276 1 If if IN 63372 2276 2 ( ( -LRB- 63372 2276 3 B b NN 63372 2276 4 ) ) -RRB- 63372 2276 5 holds hold VBZ 63372 2276 6 , , , 63372 2276 7 we -PRON- PRP 63372 2276 8 naturally naturally RB 63372 2276 9 assume assume VBP 63372 2276 10 that that IN 63372 2276 11 the the DT 63372 2276 12 equations equation NNS 63372 2276 13 , , , 63372 2276 14 and and CC 63372 2276 15 the the DT 63372 2276 16 phenomena phenomenon NNS 63372 2276 17 which which WDT 63372 2276 18 they -PRON- PRP 63372 2276 19 profess profess VBP 63372 2276 20 to to TO 63372 2276 21 represent represent VB 63372 2276 22 , , , 63372 2276 23 owe owe VB 63372 2276 24 their -PRON- PRP$ 63372 2276 25 existence existence NN 63372 2276 26 to to IN 63372 2276 27 some some DT 63372 2276 28 peculiarity peculiarity NN 63372 2276 29 of of IN 63372 2276 30 the the DT 63372 2276 31 reference reference NN 63372 2276 32 framework framework NN 63372 2276 33 . . . 63372 2277 1 They -PRON- PRP 63372 2277 2 do do VBP 63372 2277 3 not not RB 63372 2277 4 , , , 63372 2277 5 therefore therefore RB 63372 2277 6 , , , 63372 2277 7 describe describe VB 63372 2277 8 anything anything NN 63372 2277 9 which which WDT 63372 2277 10 is be VBZ 63372 2277 11 inherent inherent JJ 63372 2277 12 in in IN 63372 2277 13 the the DT 63372 2277 14 nature nature NN 63372 2277 15 of of IN 63372 2277 16 things thing NNS 63372 2277 17 , , , 63372 2277 18 but but CC 63372 2277 19 merely merely RB 63372 2277 20 some some DT 63372 2277 21 idiosyncrasy idiosyncrasy NN 63372 2277 22 of of IN 63372 2277 23 the the DT 63372 2277 24 observer observer NN 63372 2277 25 's 's POS 63372 2277 26 way way NN 63372 2277 27 of of IN 63372 2277 28 regarding regard VBG 63372 2277 29 nature nature NN 63372 2277 30 . . . 63372 2278 1 If if IN 63372 2278 2 ( ( -LRB- 63372 2278 3 A a NN 63372 2278 4 ) ) -RRB- 63372 2278 5 holds hold VBZ 63372 2278 6 , , , 63372 2278 7 then then RB 63372 2278 8 obviously obviously RB 63372 2278 9 the the DT 63372 2278 10 equations equation NNS 63372 2278 11 describe describe VBP 63372 2278 12 some some DT 63372 2278 13 real real JJ 63372 2278 14 relation relation NN 63372 2278 15 in in IN 63372 2278 16 nature nature NN 63372 2278 17 which which WDT 63372 2278 18 is be VBZ 63372 2278 19 independent independent JJ 63372 2278 20 of of IN 63372 2278 21 all all DT 63372 2278 22 possible possible JJ 63372 2278 23 ways way NNS 63372 2278 24 of of IN 63372 2278 25 observing observe VBG 63372 2278 26 and and CC 63372 2278 27 recording record VBG 63372 2278 28 it -PRON- PRP 63372 2278 29 . . . 63372 2279 1 ( ( -LRB- 63372 2279 2 4 4 LS 63372 2279 3 ) ) -RRB- 63372 2279 4 In in IN 63372 2279 5 its -PRON- PRP$ 63372 2279 6 most most RBS 63372 2279 7 general general JJ 63372 2279 8 form form NN 63372 2279 9 the the DT 63372 2279 10 principle principle NN 63372 2279 11 of of IN 63372 2279 12 relativity relativity NN 63372 2279 13 states state VBZ 63372 2279 14 that that IN 63372 2279 15 those those DT 63372 2279 16 relations relation NNS 63372 2279 17 , , , 63372 2279 18 and and CC 63372 2279 19 those those DT 63372 2279 20 alone alone JJ 63372 2279 21 , , , 63372 2279 22 which which WDT 63372 2279 23 persist persist VBP 63372 2279 24 unchanged unchanged JJ 63372 2279 25 in in IN 63372 2279 26 form form NN 63372 2279 27 for for IN 63372 2279 28 all all DT 63372 2279 29 possible possible JJ 63372 2279 30 space space NN 63372 2279 31 - - HYPH 63372 2279 32 time time NN 63372 2279 33 reference reference NN 63372 2279 34 frameworks framework NNS 63372 2279 35 are be VBP 63372 2279 36 the the DT 63372 2279 37 inherent inherent JJ 63372 2279 38 laws law NNS 63372 2279 39 of of IN 63372 2279 40 nature nature NN 63372 2279 41 . . . 63372 2280 1 To to TO 63372 2280 2 find find VB 63372 2280 3 such such JJ 63372 2280 4 relations relation NNS 63372 2280 5 Einstein Einstein NNP 63372 2280 6 has have VBZ 63372 2280 7 applied apply VBN 63372 2280 8 a a DT 63372 2280 9 mathematical mathematical JJ 63372 2280 10 method method NN 63372 2280 11 of of IN 63372 2280 12 great great JJ 63372 2280 13 power power NN 63372 2280 14 -- -- : 63372 2280 15 the the DT 63372 2280 16 calculus calculus NN 63372 2280 17 of of IN 63372 2280 18 tensors tensor NNS 63372 2280 19 -- -- : 63372 2280 20 with with IN 63372 2280 21 extraordinary extraordinary JJ 63372 2280 22 success success NN 63372 2280 23 . . . 63372 2281 1 This this DT 63372 2281 2 calculus calculus NN 63372 2281 3 threshes thresh VBZ 63372 2281 4 out out RP 63372 2281 5 the the DT 63372 2281 6 laws law NNS 63372 2281 7 of of IN 63372 2281 8 nature nature NN 63372 2281 9 , , , 63372 2281 10 separating separate VBG 63372 2281 11 the the DT 63372 2281 12 observer observer NN 63372 2281 13 's 's POS 63372 2281 14 eccentricities eccentricity NNS 63372 2281 15 from from IN 63372 2281 16 what what WP 63372 2281 17 is be VBZ 63372 2281 18 independent independent JJ 63372 2281 19 of of IN 63372 2281 20 him -PRON- PRP 63372 2281 21 , , , 63372 2281 22 with with IN 63372 2281 23 the the DT 63372 2281 24 superb superb JJ 63372 2281 25 efficiency efficiency NN 63372 2281 26 of of IN 63372 2281 27 a a DT 63372 2281 28 modern modern JJ 63372 2281 29 harvester harvester NN 63372 2281 30 . . . 63372 2282 1 The the DT 63372 2282 2 residue residue NN 63372 2282 3 is be VBZ 63372 2282 4 a a DT 63372 2282 5 physical physical JJ 63372 2282 6 geometry geometry NN 63372 2282 7 -- -- : 63372 2282 8 or or CC 63372 2282 9 geometrical geometrical JJ 63372 2282 10 physics physics NN 63372 2282 11 -- -- : 63372 2282 12 of of IN 63372 2282 13 time time NN 63372 2282 14 - - HYPH 63372 2282 15 space space NN 63372 2282 16 , , , 63372 2282 17 in in IN 63372 2282 18 which which WDT 63372 2282 19 it -PRON- PRP 63372 2282 20 appears appear VBZ 63372 2282 21 that that IN 63372 2282 22 the the DT 63372 2282 23 times time NNS 63372 2282 24 and and CC 63372 2282 25 spaces space NNS 63372 2282 26 contributed contribute VBN 63372 2282 27 by by IN 63372 2282 28 the the DT 63372 2282 29 several several JJ 63372 2282 30 observers observer NNS 63372 2282 31 ' ' POS 63372 2282 32 reference reference NN 63372 2282 33 frameworks framework NNS 63372 2282 34 are be VBP 63372 2282 35 shadows shadow NNS 63372 2282 36 of of IN 63372 2282 37 their -PRON- PRP$ 63372 2282 38 own own JJ 63372 2282 39 contrivings contriving NNS 63372 2282 40 ; ; : 63372 2282 41 while while IN 63372 2282 42 the the DT 63372 2282 43 real real JJ 63372 2282 44 , , , 63372 2282 45 enduring enduring JJ 63372 2282 46 universe universe NN 63372 2282 47 is be VBZ 63372 2282 48 a a DT 63372 2282 49 fourfold fourfold JJ 63372 2282 50 order order NN 63372 2282 51 of of IN 63372 2282 52 time time NN 63372 2282 53 and and CC 63372 2282 54 space space NN 63372 2282 55 indissolubly indissolubly RB 63372 2282 56 bound bind VBN 63372 2282 57 together together RB 63372 2282 58 . . . 63372 2283 1 One one CD 63372 2283 2 observer observer NN 63372 2283 3 separates separate VBZ 63372 2283 4 this this DT 63372 2283 5 time time NN 63372 2283 6 - - HYPH 63372 2283 7 space space NN 63372 2283 8 into into IN 63372 2283 9 his -PRON- PRP$ 63372 2283 10 own own JJ 63372 2283 11 " " `` 63372 2283 12 time time NN 63372 2283 13 " " '' 63372 2283 14 and and CC 63372 2283 15 " " `` 63372 2283 16 space space NN 63372 2283 17 " " '' 63372 2283 18 in in IN 63372 2283 19 one one CD 63372 2283 20 way way NN 63372 2283 21 , , , 63372 2283 22 determined determine VBN 63372 2283 23 by by IN 63372 2283 24 his -PRON- PRP$ 63372 2283 25 path path NN 63372 2283 26 through through IN 63372 2283 27 the the DT 63372 2283 28 world world NN 63372 2283 29 of of IN 63372 2283 30 events event NNS 63372 2283 31 ; ; : 63372 2283 32 another another DT 63372 2283 33 , , , 63372 2283 34 moving move VBG 63372 2283 35 relatively relatively RB 63372 2283 36 to to IN 63372 2283 37 the the DT 63372 2283 38 first first JJ 63372 2283 39 , , , 63372 2283 40 separates separate VBZ 63372 2283 41 it -PRON- PRP 63372 2283 42 differently differently RB 63372 2283 43 , , , 63372 2283 44 and and CC 63372 2283 45 what what WP 63372 2283 46 for for IN 63372 2283 47 one one CD 63372 2283 48 is be VBZ 63372 2283 49 time time NN 63372 2283 50 shades shade NNS 63372 2283 51 into into IN 63372 2283 52 space space NN 63372 2283 53 for for IN 63372 2283 54 another another DT 63372 2283 55 . . . 63372 2284 1 This this DT 63372 2284 2 time time NN 63372 2284 3 - - HYPH 63372 2284 4 space space NN 63372 2284 5 geometry geometry NN 63372 2284 6 is be VBZ 63372 2284 7 non non JJ 63372 2284 8 - - JJ 63372 2284 9 Euclidean euclidean JJ 63372 2284 10 . . . 63372 2285 1 It -PRON- PRP 63372 2285 2 is be VBZ 63372 2285 3 " " `` 63372 2285 4 warped warped JJ 63372 2285 5 " " '' 63372 2285 6 ( ( -LRB- 63372 2285 7 curved curved NNP 63372 2285 8 ) ) -RRB- 63372 2285 9 , , , 63372 2285 10 the the DT 63372 2285 11 amount amount NN 63372 2285 12 of of IN 63372 2285 13 warping warp VBG 63372 2285 14 at at IN 63372 2285 15 any any DT 63372 2285 16 place place NN 63372 2285 17 being be VBG 63372 2285 18 determined determine VBN 63372 2285 19 by by IN 63372 2285 20 the the DT 63372 2285 21 intensity intensity NN 63372 2285 22 of of IN 63372 2285 23 the the DT 63372 2285 24 gravitational gravitational JJ 63372 2285 25 field field NN 63372 2285 26 there there RB 63372 2285 27 . . . 63372 2286 1 Thus thus RB 63372 2286 2 again again RB 63372 2286 3 gravitation gravitation NN 63372 2286 4 is be VBZ 63372 2286 5 rooted root VBN 63372 2286 6 in in IN 63372 2286 7 the the DT 63372 2286 8 nature nature NN 63372 2286 9 of of IN 63372 2286 10 things thing NNS 63372 2286 11 . . . 63372 2287 1 In in IN 63372 2287 2 this this DT 63372 2287 3 sense sense NN 63372 2287 4 it -PRON- PRP 63372 2287 5 is be VBZ 63372 2287 6 not not RB 63372 2287 7 a a DT 63372 2287 8 force force NN 63372 2287 9 , , , 63372 2287 10 but but CC 63372 2287 11 a a DT 63372 2287 12 property property NN 63372 2287 13 of of IN 63372 2287 14 space space NN 63372 2287 15 . . . 63372 2288 1 Wherever wherever WRB 63372 2288 2 there there EX 63372 2288 3 is be VBZ 63372 2288 4 matter matter NN 63372 2288 5 there there EX 63372 2288 6 is be VBZ 63372 2288 7 a a DT 63372 2288 8 gravitational gravitational JJ 63372 2288 9 field field NN 63372 2288 10 , , , 63372 2288 11 and and CC 63372 2288 12 hence hence RB 63372 2288 13 a a DT 63372 2288 14 warping warping NN 63372 2288 15 of of IN 63372 2288 16 space space NN 63372 2288 17 . . . 63372 2289 1 Conversely conversely RB 63372 2289 2 , , , 63372 2289 3 as as RB 63372 2289 4 long long RB 63372 2289 5 ago ago RB 63372 2289 6 imagined imagine VBN 63372 2289 7 by by IN 63372 2289 8 Clifford Clifford NNP 63372 2289 9 , , , 63372 2289 10 wherever wherever WRB 63372 2289 11 there there EX 63372 2289 12 is be VBZ 63372 2289 13 a a DT 63372 2289 14 warping warping NN 63372 2289 15 of of IN 63372 2289 16 space space NN 63372 2289 17 , , , 63372 2289 18 there there EX 63372 2289 19 is be VBZ 63372 2289 20 matter matter NN 63372 2289 21 ; ; : 63372 2289 22 and and CC 63372 2289 23 matter matter NN 63372 2289 24 is be VBZ 63372 2289 25 resolved resolve VBN 63372 2289 26 ultimately ultimately RB 63372 2289 27 into into IN 63372 2289 28 wrinkles wrinkle NNS 63372 2289 29 in in IN 63372 2289 30 time time NN 63372 2289 31 - - HYPH 63372 2289 32 space space NN 63372 2289 33 . . . 63372 2290 1 To to TO 63372 2290 2 visualize visualize VB 63372 2290 3 a a DT 63372 2290 4 warped warped JJ 63372 2290 5 space space NN 63372 2290 6 , , , 63372 2290 7 consider consider VB 63372 2290 8 a a DT 63372 2290 9 simple simple JJ 63372 2290 10 analogy analogy NN 63372 2290 11 . . . 63372 2291 1 A a DT 63372 2291 2 man man NN 63372 2291 3 walks walk VBZ 63372 2291 4 away away RB 63372 2291 5 from from IN 63372 2291 6 a a DT 63372 2291 7 polished polished JJ 63372 2291 8 globe globe NN 63372 2291 9 ; ; : 63372 2291 10 his -PRON- PRP$ 63372 2291 11 image image NN 63372 2291 12 recedes recede VBZ 63372 2291 13 into into IN 63372 2291 14 the the DT 63372 2291 15 mirror mirror NN 63372 2291 16 - - HYPH 63372 2291 17 space space NN 63372 2291 18 , , , 63372 2291 19 shortening shorten VBG 63372 2291 20 and and CC 63372 2291 21 thinning thinning NN 63372 2291 22 as as IN 63372 2291 23 it -PRON- PRP 63372 2291 24 goes go VBZ 63372 2291 25 , , , 63372 2291 26 and and CC 63372 2291 27 thinning thinning NN 63372 2291 28 ( ( -LRB- 63372 2291 29 in in IN 63372 2291 30 the the DT 63372 2291 31 direction direction NN 63372 2291 32 of of IN 63372 2291 33 motion motion NN 63372 2291 34 ) ) -RRB- 63372 2291 35 faster fast RBR 63372 2291 36 than than IN 63372 2291 37 it -PRON- PRP 63372 2291 38 shortens shorten VBZ 63372 2291 39 . . . 63372 2292 1 Everything everything NN 63372 2292 2 around around IN 63372 2292 3 him -PRON- PRP 63372 2292 4 experiences experience VBZ 63372 2292 5 a a DT 63372 2292 6 like like JJ 63372 2292 7 effect effect NN 63372 2292 8 . . . 63372 2293 1 If if IN 63372 2293 2 he -PRON- PRP 63372 2293 3 tries try VBZ 63372 2293 4 to to TO 63372 2293 5 discover discover VB 63372 2293 6 this this DT 63372 2293 7 by by IN 63372 2293 8 a a DT 63372 2293 9 footrule footrule NN 63372 2293 10 it -PRON- PRP 63372 2293 11 automatically automatically RB 63372 2293 12 shortens shorten VBZ 63372 2293 13 faster fast RBR 63372 2293 14 as as IN 63372 2293 15 he -PRON- PRP 63372 2293 16 turns turn VBZ 63372 2293 17 it -PRON- PRP 63372 2293 18 into into IN 63372 2293 19 the the DT 63372 2293 20 horizontal horizontal JJ 63372 2293 21 position position NN 63372 2293 22 , , , 63372 2293 23 so so CC 63372 2293 24 his -PRON- PRP$ 63372 2293 25 purpose purpose NN 63372 2293 26 eludes elude VBZ 63372 2293 27 him -PRON- PRP 63372 2293 28 . . . 63372 2294 1 The the DT 63372 2294 2 mirror mirror NN 63372 2294 3 - - HYPH 63372 2294 4 space space NN 63372 2294 5 is be VBZ 63372 2294 6 warped warp VBN 63372 2294 7 in in IN 63372 2294 8 the the DT 63372 2294 9 direction direction NN 63372 2294 10 of of IN 63372 2294 11 the the DT 63372 2294 12 image image NN 63372 2294 13 's 's POS 63372 2294 14 motion motion NN 63372 2294 15 . . . 63372 2295 1 So so RB 63372 2295 2 is be VBZ 63372 2295 3 our -PRON- PRP$ 63372 2295 4 own own JJ 63372 2295 5 . . . 63372 2296 1 For for IN 63372 2296 2 all all DT 63372 2296 3 bodies body NNS 63372 2296 4 , , , 63372 2296 5 as as IN 63372 2296 6 evidenced evidence VBN 63372 2296 7 by by IN 63372 2296 8 the the DT 63372 2296 9 Fitzgerald Fitzgerald NNP 63372 2296 10 contraction contraction NN 63372 2296 11 , , , 63372 2296 12 shorten shorten VBN 63372 2296 13 in in IN 63372 2296 14 the the DT 63372 2296 15 direction direction NN 63372 2296 16 of of IN 63372 2296 17 motion motion NN 63372 2296 18 . . . 63372 2297 1 And and CC 63372 2297 2 just just RB 63372 2297 3 as as IN 63372 2297 4 the the DT 63372 2297 5 image image NN 63372 2297 6 can can MD 63372 2297 7 never never RB 63372 2297 8 penetrate penetrate VB 63372 2297 9 the the DT 63372 2297 10 mirror mirror NN 63372 2297 11 - - HYPH 63372 2297 12 space space NN 63372 2297 13 a a DT 63372 2297 14 greater great JJR 63372 2297 15 distance distance NN 63372 2297 16 than than IN 63372 2297 17 half half PDT 63372 2297 18 its -PRON- PRP$ 63372 2297 19 radius radius NN 63372 2297 20 , , , 63372 2297 21 so so RB 63372 2297 22 probably probably RB 63372 2297 23 time time NN 63372 2297 24 - - HYPH 63372 2297 25 space space NN 63372 2297 26 is be VBZ 63372 2297 27 curved curve VBN 63372 2297 28 in in IN 63372 2297 29 such such PDT 63372 2297 30 a a DT 63372 2297 31 way way NN 63372 2297 32 that that WDT 63372 2297 33 our -PRON- PRP$ 63372 2297 34 universe universe NN 63372 2297 35 , , , 63372 2297 36 like like IN 63372 2297 37 the the DT 63372 2297 38 surface surface NN 63372 2297 39 of of IN 63372 2297 40 a a DT 63372 2297 41 sphere sphere NN 63372 2297 42 , , , 63372 2297 43 is be VBZ 63372 2297 44 finite finite JJ 63372 2297 45 in in IN 63372 2297 46 extent extent NN 63372 2297 47 , , , 63372 2297 48 but but CC 63372 2297 49 unbounded unbounded JJ 63372 2297 50 . . . 63372 2298 1 XII xii NN 63372 2298 2 FORCE FORCE NNP 63372 2298 3 VS VS NNP 63372 2298 4 . . . 63372 2298 5 GEOMETRY GEOMETRY NNP 63372 2298 6 How how WRB 63372 2298 7 Einstein Einstein NNP 63372 2298 8 Has have VBZ 63372 2298 9 Substituted substitute VBN 63372 2298 10 the the DT 63372 2298 11 Second Second NNP 63372 2298 12 for for IN 63372 2298 13 the the DT 63372 2298 14 First first JJ 63372 2298 15 in in IN 63372 2298 16 Connection connection NN 63372 2298 17 With with IN 63372 2298 18 the the DT 63372 2298 19 Cause cause NN 63372 2298 20 of of IN 63372 2298 21 Gravitation Gravitation NNP 63372 2298 22 BY by IN 63372 2298 23 SAUL SAUL NNP 63372 2298 24 DUSHMAN DUSHMAN NNP 63372 2298 25 GENERAL GENERAL NNP 63372 2298 26 ELECTRIC ELECTRIC NNP 63372 2298 27 LABORATORIES laboratory NNS 63372 2298 28 SCHENECTADY SCHENECTADY NNP 63372 2298 29 , , , 63372 2298 30 N. N. NNP 63372 2298 31 Y. Y. NNP 63372 2299 1 The the DT 63372 2299 2 theory theory NN 63372 2299 3 of of IN 63372 2299 4 relativity relativity NN 63372 2299 5 represents represent VBZ 63372 2299 6 a a DT 63372 2299 7 most most RBS 63372 2299 8 strikingly strikingly RB 63372 2299 9 original original JJ 63372 2299 10 conception conception NN 63372 2299 11 of of IN 63372 2299 12 time time NN 63372 2299 13 and and CC 63372 2299 14 space space NN 63372 2299 15 , , , 63372 2299 16 which which WDT 63372 2299 17 was be VBD 63372 2299 18 suggested suggest VBN 63372 2299 19 by by IN 63372 2299 20 Einstein Einstein NNP 63372 2299 21 in in IN 63372 2299 22 order order NN 63372 2299 23 to to TO 63372 2299 24 correlate correlate VB 63372 2299 25 with with IN 63372 2299 26 all all PDT 63372 2299 27 our -PRON- PRP$ 63372 2299 28 past past JJ 63372 2299 29 experience experience NN 63372 2299 30 certain certain JJ 63372 2299 31 observations observation NNS 63372 2299 32 made make VBN 63372 2299 33 in in IN 63372 2299 34 recent recent JJ 63372 2299 35 years year NNS 63372 2299 36 . . . 63372 2300 1 It -PRON- PRP 63372 2300 2 is be VBZ 63372 2300 3 therefore therefore RB 63372 2300 4 extremely extremely RB 63372 2300 5 comprehensive comprehensive JJ 63372 2300 6 in in IN 63372 2300 7 its -PRON- PRP$ 63372 2300 8 scope scope NN 63372 2300 9 ; ; : 63372 2300 10 it -PRON- PRP 63372 2300 11 demands demand VBZ 63372 2300 12 from from IN 63372 2300 13 us -PRON- PRP 63372 2300 14 a a DT 63372 2300 15 radical radical JJ 63372 2300 16 revision revision NN 63372 2300 17 in in IN 63372 2300 18 our -PRON- PRP$ 63372 2300 19 notions notion NNS 63372 2300 20 of of IN 63372 2300 21 time time NN 63372 2300 22 and and CC 63372 2300 23 space space NN 63372 2300 24 ; ; : 63372 2300 25 it -PRON- PRP 63372 2300 26 throws throw VBZ 63372 2300 27 new new JJ 63372 2300 28 light light NN 63372 2300 29 on on IN 63372 2300 30 the the DT 63372 2300 31 nature nature NN 63372 2300 32 of of IN 63372 2300 33 mass mass NN 63372 2300 34 and and CC 63372 2300 35 energy energy NN 63372 2300 36 , , , 63372 2300 37 and and CC 63372 2300 38 finally finally RB 63372 2300 39 , , , 63372 2300 40 it -PRON- PRP 63372 2300 41 furnishes furnish VBZ 63372 2300 42 a a DT 63372 2300 43 totally totally RB 63372 2300 44 new new JJ 63372 2300 45 conception conception NN 63372 2300 46 of of IN 63372 2300 47 the the DT 63372 2300 48 old old JJ 63372 2300 49 problem problem NN 63372 2300 50 of of IN 63372 2300 51 gravitation gravitation NN 63372 2300 52 . . . 63372 2301 1 The the DT 63372 2301 2 starting starting NN 63372 2301 3 point point NN 63372 2301 4 of of IN 63372 2301 5 the the DT 63372 2301 6 theory theory NN 63372 2301 7 is be VBZ 63372 2301 8 the the DT 63372 2301 9 familiar familiar JJ 63372 2301 10 observation observation NN 63372 2301 11 that that IN 63372 2301 12 motion motion NN 63372 2301 13 is be VBZ 63372 2301 14 always always RB 63372 2301 15 relative relative JJ 63372 2301 16 : : : 63372 2301 17 that that RB 63372 2301 18 is is RB 63372 2301 19 , , , 63372 2301 20 to to TO 63372 2301 21 define define VB 63372 2301 22 the the DT 63372 2301 23 motion motion NN 63372 2301 24 of of IN 63372 2301 25 any any DT 63372 2301 26 object object NN 63372 2301 27 we -PRON- PRP 63372 2301 28 must must MD 63372 2301 29 always always RB 63372 2301 30 use use VB 63372 2301 31 some some DT 63372 2301 32 point point NN 63372 2301 33 of of IN 63372 2301 34 reference reference NN 63372 2301 35 . . . 63372 2302 1 Thus thus RB 63372 2302 2 we -PRON- PRP 63372 2302 3 speak speak VBP 63372 2302 4 of of IN 63372 2302 5 the the DT 63372 2302 6 velocity velocity NN 63372 2302 7 of of IN 63372 2302 8 a a DT 63372 2302 9 train train NN 63372 2302 10 as as IN 63372 2302 11 40 40 CD 63372 2302 12 miles mile NNS 63372 2302 13 per per IN 63372 2302 14 hour hour NN 63372 2302 15 with with IN 63372 2302 16 respect respect NN 63372 2302 17 to to IN 63372 2302 18 the the DT 63372 2302 19 earth earth NN 63372 2302 20 's 's POS 63372 2302 21 surface surface NN 63372 2302 22 , , , 63372 2302 23 but but CC 63372 2302 24 would would MD 63372 2302 25 find find VB 63372 2302 26 it -PRON- PRP 63372 2302 27 impossible impossible JJ 63372 2302 28 to to TO 63372 2302 29 determine determine VB 63372 2302 30 its -PRON- PRP$ 63372 2302 31 absolute absolute JJ 63372 2302 32 speed speed NN 63372 2302 33 , , , 63372 2302 34 or or CC 63372 2302 35 motion motion NN 63372 2302 36 in in IN 63372 2302 37 space space NN 63372 2302 38 , , , 63372 2302 39 since since IN 63372 2302 40 we -PRON- PRP 63372 2302 41 know know VBP 63372 2302 42 of of IN 63372 2302 43 no no DT 63372 2302 44 star star NN 63372 2302 45 whose whose WP$ 63372 2302 46 position position NN 63372 2302 47 can can MD 63372 2302 48 be be VB 63372 2302 49 spoken speak VBN 63372 2302 50 of of IN 63372 2302 51 as as IN 63372 2302 52 absolutely absolutely RB 63372 2302 53 fixed fix VBN 63372 2302 54 . . . 63372 2303 1 These these DT 63372 2303 2 and and CC 63372 2303 3 similar similar JJ 63372 2303 4 considerations consideration NNS 63372 2303 5 have have VBP 63372 2303 6 led lead VBN 63372 2303 7 to to IN 63372 2303 8 the the DT 63372 2303 9 conclusion conclusion NN 63372 2303 10 , , , 63372 2303 11 pointed point VBD 63372 2303 12 out out RP 63372 2303 13 by by IN 63372 2303 14 Newton Newton NNP 63372 2303 15 and and CC 63372 2303 16 others other NNS 63372 2303 17 , , , 63372 2303 18 that that IN 63372 2303 19 it -PRON- PRP 63372 2303 20 is be VBZ 63372 2303 21 impossible impossible JJ 63372 2303 22 by by IN 63372 2303 23 any any DT 63372 2303 24 mechanical mechanical JJ 63372 2303 25 experiments experiment NNS 63372 2303 26 on on IN 63372 2303 27 the the DT 63372 2303 28 earth earth NN 63372 2303 29 to to TO 63372 2303 30 measure measure VB 63372 2303 31 its -PRON- PRP$ 63372 2303 32 velocity velocity NN 63372 2303 33 in in IN 63372 2303 34 space space NN 63372 2303 35 . . . 63372 2304 1 However however RB 63372 2304 2 , , , 63372 2304 3 the the DT 63372 2304 4 results result NNS 63372 2304 5 of of IN 63372 2304 6 observations observation NNS 63372 2304 7 on on IN 63372 2304 8 the the DT 63372 2304 9 phenomena phenomenon NNS 63372 2304 10 of of IN 63372 2304 11 light light NN 63372 2304 12 and and CC 63372 2304 13 electricity electricity NN 63372 2304 14 led lead VBN 63372 2304 15 to to IN 63372 2304 16 the the DT 63372 2304 17 revival revival NN 63372 2304 18 of of IN 63372 2304 19 the the DT 63372 2304 20 same same JJ 63372 2304 21 problem problem NN 63372 2304 22 under under IN 63372 2304 23 another another DT 63372 2304 24 form form NN 63372 2304 25 . . . 63372 2305 1 As as IN 63372 2305 2 well well RB 63372 2305 3 known know VBN 63372 2305 4 , , , 63372 2305 5 there there EX 63372 2305 6 was be VBD 63372 2305 7 evolved evolve VBN 63372 2305 8 from from IN 63372 2305 9 these these DT 63372 2305 10 discoveries discovery NNS 63372 2305 11 , , , 63372 2305 12 the the DT 63372 2305 13 theory theory NN 63372 2305 14 that that WDT 63372 2305 15 light light JJ 63372 2305 16 and and CC 63372 2305 17 electrical electrical JJ 63372 2305 18 energy energy NN 63372 2305 19 are be VBP 63372 2305 20 of of IN 63372 2305 21 the the DT 63372 2305 22 same same JJ 63372 2305 23 nature nature NN 63372 2305 24 , , , 63372 2305 25 and and CC 63372 2305 26 are be VBP 63372 2305 27 in in IN 63372 2305 28 each each DT 63372 2305 29 case case NN 63372 2305 30 manifestations manifestation NNS 63372 2305 31 of of IN 63372 2305 32 wave wave NN 63372 2305 33 - - HYPH 63372 2305 34 disturbances disturbance NNS 63372 2305 35 propagated propagate VBD 63372 2305 36 through through IN 63372 2305 37 a a DT 63372 2305 38 hypothetical hypothetical JJ 63372 2305 39 medium medium NN 63372 2305 40 , , , 63372 2305 41 the the DT 63372 2305 42 ether ether NN 63372 2305 43 , , , 63372 2305 44 with with IN 63372 2305 45 a a DT 63372 2305 46 velocity velocity NN 63372 2305 47 of of IN 63372 2305 48 186,000 186,000 CD 63372 2305 49 miles mile NNS 63372 2305 50 per per IN 63372 2305 51 second second NN 63372 2305 52 . . . 63372 2306 1 The the DT 63372 2306 2 problem problem NN 63372 2306 3 therefore therefore RB 63372 2306 4 arose arise VBD 63372 2306 5 as as IN 63372 2306 6 to to IN 63372 2306 7 whether whether IN 63372 2306 8 the the DT 63372 2306 9 earth earth NN 63372 2306 10 and and CC 63372 2306 11 all all DT 63372 2306 12 stellar stellar JJ 63372 2306 13 bodies body NNS 63372 2306 14 move move VBP 63372 2306 15 through through IN 63372 2306 16 this this DT 63372 2306 17 ether ether NN 63372 2306 18 . . . 63372 2307 1 In in IN 63372 2307 2 that that DT 63372 2307 3 case case NN 63372 2307 4 it -PRON- PRP 63372 2307 5 ought ought MD 63372 2307 6 to to TO 63372 2307 7 be be VB 63372 2307 8 possible possible JJ 63372 2307 9 to to TO 63372 2307 10 measure measure VB 63372 2307 11 the the DT 63372 2307 12 velocity velocity NN 63372 2307 13 of of IN 63372 2307 14 the the DT 63372 2307 15 earth earth NN 63372 2307 16 with with IN 63372 2307 17 respect respect NN 63372 2307 18 to to IN 63372 2307 19 this this DT 63372 2307 20 medium medium NN 63372 2307 21 , , , 63372 2307 22 and and CC 63372 2307 23 under under IN 63372 2307 24 these these DT 63372 2307 25 conditions condition NNS 63372 2307 26 we -PRON- PRP 63372 2307 27 could could MD 63372 2307 28 speak speak VB 63372 2307 29 , , , 63372 2307 30 in in IN 63372 2307 31 a a DT 63372 2307 32 sense sense NN 63372 2307 33 , , , 63372 2307 34 of of IN 63372 2307 35 absolute absolute JJ 63372 2307 36 motion motion NN 63372 2307 37 . . . 63372 2308 1 A a DT 63372 2308 2 large large JJ 63372 2308 3 number number NN 63372 2308 4 of of IN 63372 2308 5 experiments experiment NNS 63372 2308 6 has have VBZ 63372 2308 7 been be VBN 63372 2308 8 tried try VBN 63372 2308 9 with with IN 63372 2308 10 this this DT 63372 2308 11 end end NN 63372 2308 12 in in IN 63372 2308 13 view view NN 63372 2308 14 . . . 63372 2309 1 The the DT 63372 2309 2 most most RBS 63372 2309 3 famous famous JJ 63372 2309 4 of of IN 63372 2309 5 these these DT 63372 2309 6 , , , 63372 2309 7 and and CC 63372 2309 8 the the DT 63372 2309 9 one one NN 63372 2309 10 which which WDT 63372 2309 11 stimulated stimulate VBD 63372 2309 12 the the DT 63372 2309 13 subsequent subsequent JJ 63372 2309 14 development development NN 63372 2309 15 of of IN 63372 2309 16 the the DT 63372 2309 17 theory theory NN 63372 2309 18 of of IN 63372 2309 19 relativity relativity NN 63372 2309 20 , , , 63372 2309 21 was be VBD 63372 2309 22 that that DT 63372 2309 23 carried carry VBN 63372 2309 24 out out RP 63372 2309 25 by by IN 63372 2309 26 Michelson Michelson NNP 63372 2309 27 and and CC 63372 2309 28 Morley Morley NNP 63372 2309 29 in in IN 63372 2309 30 1887 1887 CD 63372 2309 31 . . . 63372 2310 1 To to TO 63372 2310 2 understand understand VB 63372 2310 3 the the DT 63372 2310 4 significance significance NN 63372 2310 5 of of IN 63372 2310 6 this this DT 63372 2310 7 experiment experiment NN 63372 2310 8 we -PRON- PRP 63372 2310 9 shall shall MD 63372 2310 10 refer refer VB 63372 2310 11 briefly briefly RB 63372 2310 12 to to IN 63372 2310 13 an an DT 63372 2310 14 analogous analogous JJ 63372 2310 15 observation observation NN 63372 2310 16 which which WDT 63372 2310 17 is be VBZ 63372 2310 18 quite quite RB 63372 2310 19 familiar familiar JJ 63372 2310 20 . . . 63372 2311 1 Does do VBZ 63372 2311 2 it -PRON- PRP 63372 2311 3 take take VB 63372 2311 4 longer long RBR 63372 2311 5 to to TO 63372 2311 6 swim swim VB 63372 2311 7 to to IN 63372 2311 8 a a DT 63372 2311 9 point point NN 63372 2311 10 1 1 CD 63372 2311 11 mile mile NN 63372 2311 12 up up IN 63372 2311 13 a a DT 63372 2311 14 stream stream NN 63372 2311 15 and and CC 63372 2311 16 back back RB 63372 2311 17 or or CC 63372 2311 18 to to IN 63372 2311 19 a a DT 63372 2311 20 point point NN 63372 2311 21 1 1 CD 63372 2311 22 mile mile NN 63372 2311 23 across across IN 63372 2311 24 stream stream NN 63372 2311 25 and and CC 63372 2311 26 back back RB 63372 2311 27 ? ? . 63372 2312 1 The the DT 63372 2312 2 experienced experienced JJ 63372 2312 3 swimmer swimmer NN 63372 2312 4 will will MD 63372 2312 5 answer answer VB 63372 2312 6 that that IN 63372 2312 7 the the DT 63372 2312 8 up up JJ 63372 2312 9 - - HYPH 63372 2312 10 and and CC 63372 2312 11 - - HYPH 63372 2312 12 down down RP 63372 2312 13 journey journey NN 63372 2312 14 takes take VBZ 63372 2312 15 longer long RBR 63372 2312 16 . . . 63372 2313 1 If if IN 63372 2313 2 we -PRON- PRP 63372 2313 3 assume assume VBP 63372 2313 4 that that IN 63372 2313 5 the the DT 63372 2313 6 swimmer swimmer NN 63372 2313 7 has have VBZ 63372 2313 8 a a DT 63372 2313 9 speed speed NN 63372 2313 10 of of IN 63372 2313 11 5 5 CD 63372 2313 12 miles mile NNS 63372 2313 13 an an DT 63372 2313 14 hour hour NN 63372 2313 15 in in IN 63372 2313 16 still still RB 63372 2313 17 water water NN 63372 2313 18 and and CC 63372 2313 19 that that IN 63372 2313 20 the the DT 63372 2313 21 current current NN 63372 2313 22 is be VBZ 63372 2313 23 3 3 CD 63372 2313 24 miles mile NNS 63372 2313 25 an an DT 63372 2313 26 hour hour NN 63372 2313 27 , , , 63372 2313 28 we -PRON- PRP 63372 2313 29 find find VBP 63372 2313 30 that that IN 63372 2313 31 , , , 63372 2313 32 while while IN 63372 2313 33 it -PRON- PRP 63372 2313 34 requires require VBZ 63372 2313 35 five five CD 63372 2313 36 - - HYPH 63372 2313 37 eighths eighth NNS 63372 2313 38 hour hour NN 63372 2313 39 to to TO 63372 2313 40 make make VB 63372 2313 41 the the DT 63372 2313 42 up up JJ 63372 2313 43 - - HYPH 63372 2313 44 and and CC 63372 2313 45 - - HYPH 63372 2313 46 down down RP 63372 2313 47 journey journey NN 63372 2313 48 , , , 63372 2313 49 it -PRON- PRP 63372 2313 50 takes take VBZ 63372 2313 51 only only RB 63372 2313 52 one one CD 63372 2313 53 - - HYPH 63372 2313 54 half half NN 63372 2313 55 hour hour NN 63372 2313 56 for for IN 63372 2313 57 the the DT 63372 2313 58 trip trip NN 63372 2313 59 across across IN 63372 2313 60 stream stream NN 63372 2313 61 and and CC 63372 2313 62 back back NN 63372 2313 63 . . . 63372 2314 1 The the DT 63372 2314 2 ratio ratio NN 63372 2314 3 between between IN 63372 2314 4 the the DT 63372 2314 5 times time NNS 63372 2314 6 required require VBN 63372 2314 7 for for IN 63372 2314 8 the the DT 63372 2314 9 two two CD 63372 2314 10 journeys journey NNS 63372 2314 11 is be VBZ 63372 2314 12 thus thus RB 63372 2314 13 five five CD 63372 2314 14 - - HYPH 63372 2314 15 fourths fourth NNS 63372 2314 16 , , , 63372 2314 17 and and CC 63372 2314 18 if if IN 63372 2314 19 this this DT 63372 2314 20 is be VBZ 63372 2314 21 written write VBN 63372 2314 22 in in IN 63372 2314 23 the the DT 63372 2314 24 form form NN 63372 2314 25 $ $ $ 63372 2314 26 $ $ $ 63372 2314 27 \frac{1}{\sqrt{1 \frac{1}{\sqrt{1 NNS 63372 2314 28 - - , 63372 2314 29 ( ( -LRB- 63372 2314 30 \frac{3}{5})^2}}$$ \frac{3}{5})^2}}$$ NNP 63372 2314 31 it -PRON- PRP 63372 2314 32 shows show VBZ 63372 2314 33 how how WRB 63372 2314 34 the the DT 63372 2314 35 result result NN 63372 2314 36 depends depend VBZ 63372 2314 37 upon upon IN 63372 2314 38 the the DT 63372 2314 39 square square NN 63372 2314 40 of of IN 63372 2314 41 the the DT 63372 2314 42 ratio ratio NN 63372 2314 43 of of IN 63372 2314 44 the the DT 63372 2314 45 speeds speed NNS 63372 2314 46 of of IN 63372 2314 47 the the DT 63372 2314 48 swimmer swimmer NN 63372 2314 49 and and CC 63372 2314 50 the the DT 63372 2314 51 current current NN 63372 2314 52 . . . 63372 2315 1 Now now RB 63372 2315 2 the the DT 63372 2315 3 earth earth NN 63372 2315 4 is be VBZ 63372 2315 5 moving move VBG 63372 2315 6 in in IN 63372 2315 7 its -PRON- PRP$ 63372 2315 8 orbit orbit NN 63372 2315 9 about about IN 63372 2315 10 the the DT 63372 2315 11 sun sun NN 63372 2315 12 with with IN 63372 2315 13 a a DT 63372 2315 14 velocity velocity NN 63372 2315 15 of of IN 63372 2315 16 18 18 CD 63372 2315 17 miles mile NNS 63372 2315 18 per per IN 63372 2315 19 second second NN 63372 2315 20 . . . 63372 2316 1 If if IN 63372 2316 2 the the DT 63372 2316 3 earth earth NN 63372 2316 4 moves move VBZ 63372 2316 5 through through IN 63372 2316 6 the the DT 63372 2316 7 ether ether NN 63372 2316 8 and and CC 63372 2316 9 a a DT 63372 2316 10 light light JJ 63372 2316 11 - - HYPH 63372 2316 12 beam beam NN 63372 2316 13 passes pass VBZ 63372 2316 14 from from IN 63372 2316 15 one one CD 63372 2316 16 mirror mirror NN 63372 2316 17 to to IN 63372 2316 18 another another DT 63372 2316 19 and and CC 63372 2316 20 back back RB 63372 2316 21 again again RB 63372 2316 22 , , , 63372 2316 23 the the DT 63372 2316 24 time time NN 63372 2316 25 taken take VBN 63372 2316 26 for for IN 63372 2316 27 this this DT 63372 2316 28 journey journey NN 63372 2316 29 ought ought MD 63372 2316 30 to to TO 63372 2316 31 be be VB 63372 2316 32 longer long JJR 63372 2316 33 when when WRB 63372 2316 34 the the DT 63372 2316 35 light light JJ 63372 2316 36 - - HYPH 63372 2316 37 path path NN 63372 2316 38 is be VBZ 63372 2316 39 in in IN 63372 2316 40 the the DT 63372 2316 41 direction direction NN 63372 2316 42 of of IN 63372 2316 43 the the DT 63372 2316 44 earth earth NN 63372 2316 45 's 's POS 63372 2316 46 motion motion NN 63372 2316 47 than than IN 63372 2316 48 when when WRB 63372 2316 49 it -PRON- PRP 63372 2316 50 is be VBZ 63372 2316 51 at at IN 63372 2316 52 right right JJ 63372 2316 53 angles angle NNS 63372 2316 54 to to IN 63372 2316 55 this this DT 63372 2316 56 direction direction NN 63372 2316 57 . . . 63372 2317 1 For for IN 63372 2317 2 we -PRON- PRP 63372 2317 3 can can MD 63372 2317 4 consider consider VB 63372 2317 5 the the DT 63372 2317 6 light light NN 63372 2317 7 as as IN 63372 2317 8 a a DT 63372 2317 9 swimmer swimmer NN 63372 2317 10 having have VBG 63372 2317 11 a a DT 63372 2317 12 speed speed NN 63372 2317 13 of of IN 63372 2317 14 186,000 186,000 CD 63372 2317 15 miles mile NNS 63372 2317 16 per per IN 63372 2317 17 second second NN 63372 2317 18 and and CC 63372 2317 19 travelling travel VBG 63372 2317 20 in in IN 63372 2317 21 a a DT 63372 2317 22 stream stream NN 63372 2317 23 whose whose WP$ 63372 2317 24 current current NN 63372 2317 25 is be VBZ 63372 2317 26 18 18 CD 63372 2317 27 miles mile NNS 63372 2317 28 per per IN 63372 2317 29 second second NN 63372 2317 30 . . . 63372 2318 1 When when WRB 63372 2318 2 Michelson Michelson NNP 63372 2318 3 and and CC 63372 2318 4 Morley Morley NNP 63372 2318 5 tried try VBD 63372 2318 6 the the DT 63372 2318 7 experiment experiment NN 63372 2318 8 they -PRON- PRP 63372 2318 9 could could MD 63372 2318 10 not not RB 63372 2318 11 observe observe VB 63372 2318 12 any any DT 63372 2318 13 difference difference NN 63372 2318 14 in in IN 63372 2318 15 the the DT 63372 2318 16 velocity velocity NN 63372 2318 17 of of IN 63372 2318 18 light light NN 63372 2318 19 in in IN 63372 2318 20 the the DT 63372 2318 21 two two CD 63372 2318 22 directions direction NNS 63372 2318 23 . . . 63372 2319 1 The the DT 63372 2319 2 experiment experiment NN 63372 2319 3 has have VBZ 63372 2319 4 since since IN 63372 2319 5 been be VBN 63372 2319 6 repeated repeat VBN 63372 2319 7 under under IN 63372 2319 8 various various JJ 63372 2319 9 conditions condition NNS 63372 2319 10 , , , 63372 2319 11 but but CC 63372 2319 12 always always RB 63372 2319 13 with with IN 63372 2319 14 negative negative JJ 63372 2319 15 results result NNS 63372 2319 16 . . . 63372 2320 1 Einstein Einstein NNP 63372 2320 2 's 's POS 63372 2320 3 contribution contribution NN 63372 2320 4 to to IN 63372 2320 5 science science NN 63372 2320 6 consists consist VBZ 63372 2320 7 in in IN 63372 2320 8 interpreting interpret VBG 63372 2320 9 this this DT 63372 2320 10 result result NN 63372 2320 11 as as IN 63372 2320 12 being be VBG 63372 2320 13 in in IN 63372 2320 14 accord accord NN 63372 2320 15 with with IN 63372 2320 16 Newton Newton NNP 63372 2320 17 's 's POS 63372 2320 18 ideas idea NNS 63372 2320 19 on on IN 63372 2320 20 mechanical mechanical JJ 63372 2320 21 relativity relativity NN 63372 2320 22 in in IN 63372 2320 23 that that IN 63372 2320 24 it -PRON- PRP 63372 2320 25 demonstrates demonstrate VBZ 63372 2320 26 the the DT 63372 2320 27 impossibility impossibility NN 63372 2320 28 of of IN 63372 2320 29 measuring measure VBG 63372 2320 30 absolute absolute JJ 63372 2320 31 motion motion NN 63372 2320 32 , , , 63372 2320 33 not not RB 63372 2320 34 only only RB 63372 2320 35 by by IN 63372 2320 36 mechanical mechanical JJ 63372 2320 37 , , , 63372 2320 38 but but CC 63372 2320 39 also also RB 63372 2320 40 by by IN 63372 2320 41 optical optical JJ 63372 2320 42 or or CC 63372 2320 43 electrical electrical JJ 63372 2320 44 experiments experiment NNS 63372 2320 45 . . . 63372 2321 1 Consequently consequently RB 63372 2321 2 the the DT 63372 2321 3 velocity velocity NN 63372 2321 4 of of IN 63372 2321 5 light light NN 63372 2321 6 must must MD 63372 2321 7 be be VB 63372 2321 8 regarded regard VBN 63372 2321 9 as as IN 63372 2321 10 constant constant JJ 63372 2321 11 and and CC 63372 2321 12 independent independent JJ 63372 2321 13 of of IN 63372 2321 14 the the DT 63372 2321 15 motion motion NN 63372 2321 16 of of IN 63372 2321 17 either either DT 63372 2321 18 source source NN 63372 2321 19 or or CC 63372 2321 20 observer observer NN 63372 2321 21 . . . 63372 2322 1 THE the DT 63372 2322 2 RELATIVITY RELATIVITY NNP 63372 2322 3 OF of IN 63372 2322 4 UNIFORM UNIFORM NNP 63372 2322 5 MOTION MOTION NNP 63372 2322 6 Let let VBP 63372 2322 7 us -PRON- PRP 63372 2322 8 consider consider VB 63372 2322 9 some some DT 63372 2322 10 of of IN 63372 2322 11 the the DT 63372 2322 12 consequences consequence NNS 63372 2322 13 which which WDT 63372 2322 14 follow follow VBP 63372 2322 15 from from IN 63372 2322 16 this this DT 63372 2322 17 principle principle NN 63372 2322 18 . . . 63372 2323 1 An an DT 63372 2323 2 observer observer NN 63372 2323 3 travelling travel VBG 63372 2323 4 with with IN 63372 2323 5 say say UH 63372 2323 6 one one CD 63372 2323 7 - - HYPH 63372 2323 8 half half NN 63372 2323 9 the the DT 63372 2323 10 velocity velocity NN 63372 2323 11 of of IN 63372 2323 12 light light NN 63372 2323 13 in in IN 63372 2323 14 the the DT 63372 2323 15 same same JJ 63372 2323 16 direction direction NN 63372 2323 17 as as IN 63372 2323 18 a a DT 63372 2323 19 ray ray NN 63372 2323 20 of of IN 63372 2323 21 light light NN 63372 2323 22 would would MD 63372 2323 23 find find VB 63372 2323 24 that that IN 63372 2323 25 the the DT 63372 2323 26 latter latter NN 63372 2323 27 has have VBZ 63372 2323 28 the the DT 63372 2323 29 usual usual JJ 63372 2323 30 velocity velocity NN 63372 2323 31 of of IN 63372 2323 32 186,000 186,000 CD 63372 2323 33 miles mile NNS 63372 2323 34 per per IN 63372 2323 35 second second NN 63372 2323 36 . . . 63372 2324 1 Similarly similarly RB 63372 2324 2 an an DT 63372 2324 3 observer observer NN 63372 2324 4 travelling travel VBG 63372 2324 5 in in IN 63372 2324 6 the the DT 63372 2324 7 opposite opposite JJ 63372 2324 8 direction direction NN 63372 2324 9 to to IN 63372 2324 10 that that DT 63372 2324 11 of of IN 63372 2324 12 the the DT 63372 2324 13 light light JJ 63372 2324 14 - - HYPH 63372 2324 15 ray ray NN 63372 2324 16 , , , 63372 2324 17 with with IN 63372 2324 18 one one CD 63372 2324 19 - - HYPH 63372 2324 20 half half NN 63372 2324 21 the the DT 63372 2324 22 velocity velocity NN 63372 2324 23 of of IN 63372 2324 24 light light NN 63372 2324 25 , , , 63372 2324 26 would would MD 63372 2324 27 obtain obtain VB 63372 2324 28 the the DT 63372 2324 29 same same JJ 63372 2324 30 result result NN 63372 2324 31 . . . 63372 2325 1 Einstein Einstein NNP 63372 2325 2 has have VBZ 63372 2325 3 shown show VBN 63372 2325 4 that that IN 63372 2325 5 these these DT 63372 2325 6 conclusions conclusion NNS 63372 2325 7 can can MD 63372 2325 8 be be VB 63372 2325 9 valid valid JJ 63372 2325 10 only only RB 63372 2325 11 if if IN 63372 2325 12 the the DT 63372 2325 13 units unit NNS 63372 2325 14 of of IN 63372 2325 15 time time NN 63372 2325 16 and and CC 63372 2325 17 space space NN 63372 2325 18 used use VBN 63372 2325 19 by by IN 63372 2325 20 the the DT 63372 2325 21 two two CD 63372 2325 22 observers observer NNS 63372 2325 23 depend depend VBP 63372 2325 24 upon upon IN 63372 2325 25 their -PRON- PRP$ 63372 2325 26 relative relative JJ 63372 2325 27 motions motion NNS 63372 2325 28 . . . 63372 2326 1 A a DT 63372 2326 2 careful careful JJ 63372 2326 3 calculation calculation NN 63372 2326 4 shows show VBZ 63372 2326 5 that that IN 63372 2326 6 the the DT 63372 2326 7 unit unit NN 63372 2326 8 of of IN 63372 2326 9 length length NN 63372 2326 10 used use VBN 63372 2326 11 by by IN 63372 2326 12 either either DT 63372 2326 13 observer observer NN 63372 2326 14 appears appear VBZ 63372 2326 15 to to IN 63372 2326 16 the the DT 63372 2326 17 other other JJ 63372 2326 18 observer observer NN 63372 2326 19 contracted contract VBD 63372 2326 20 when when WRB 63372 2326 21 placed place VBN 63372 2326 22 in in IN 63372 2326 23 the the DT 63372 2326 24 direction direction NN 63372 2326 25 of of IN 63372 2326 26 their -PRON- PRP$ 63372 2326 27 relative relative JJ 63372 2326 28 motion motion NN 63372 2326 29 ( ( -LRB- 63372 2326 30 but but CC 63372 2326 31 not not RB 63372 2326 32 , , , 63372 2326 33 when when WRB 63372 2326 34 placed place VBN 63372 2326 35 at at IN 63372 2326 36 right right JJ 63372 2326 37 angles angle NNS 63372 2326 38 to to IN 63372 2326 39 this this DT 63372 2326 40 direction direction NN 63372 2326 41 ) ) -RRB- 63372 2326 42 , , , 63372 2326 43 and and CC 63372 2326 44 the the DT 63372 2326 45 unit unit NN 63372 2326 46 of of IN 63372 2326 47 time time NN 63372 2326 48 used use VBN 63372 2326 49 by by IN 63372 2326 50 either either DT 63372 2326 51 observer observer NN 63372 2326 52 appears appear VBZ 63372 2326 53 to to IN 63372 2326 54 the the DT 63372 2326 55 other other JJ 63372 2326 56 too too RB 63372 2326 57 great great JJ 63372 2326 58 . . . 63372 2327 1 Moreover moreover RB 63372 2327 2 , , , 63372 2327 3 the the DT 63372 2327 4 ratio ratio NN 63372 2327 5 of of IN 63372 2327 6 the the DT 63372 2327 7 units unit NNS 63372 2327 8 of of IN 63372 2327 9 length length NN 63372 2327 10 or or CC 63372 2327 11 of of IN 63372 2327 12 time time NN 63372 2327 13 varies vary VBZ 63372 2327 14 with with IN 63372 2327 15 the the DT 63372 2327 16 square square NN 63372 2327 17 of of IN 63372 2327 18 the the DT 63372 2327 19 relative relative JJ 63372 2327 20 speed speed NN 63372 2327 21 of of IN 63372 2327 22 the the DT 63372 2327 23 two two CD 63372 2327 24 observers observer NNS 63372 2327 25 , , , 63372 2327 26 according accord VBG 63372 2327 27 to to IN 63372 2327 28 a a DT 63372 2327 29 relation relation NN 63372 2327 30 which which WDT 63372 2327 31 is be VBZ 63372 2327 32 similar similar JJ 63372 2327 33 to to IN 63372 2327 34 that that DT 63372 2327 35 mentioned mention VBN 63372 2327 36 above above RB 63372 2327 37 for for IN 63372 2327 38 the the DT 63372 2327 39 swimmer swimmer NN 63372 2327 40 in in IN 63372 2327 41 the the DT 63372 2327 42 current current NN 63372 2327 43 . . . 63372 2328 1 This this DT 63372 2328 2 relation relation NN 63372 2328 3 shows show VBZ 63372 2328 4 that that IN 63372 2328 5 as as IN 63372 2328 6 the the DT 63372 2328 7 relative relative JJ 63372 2328 8 speed speed NN 63372 2328 9 approaches approach NNS 63372 2328 10 that that DT 63372 2328 11 of of IN 63372 2328 12 light light NN 63372 2328 13 the the DT 63372 2328 14 discrepancy discrepancy NN 63372 2328 15 between between IN 63372 2328 16 the the DT 63372 2328 17 units unit NNS 63372 2328 18 increases increase NNS 63372 2328 19 . . . 63372 2329 1 Thus thus RB 63372 2329 2 , , , 63372 2329 3 for for IN 63372 2329 4 an an DT 63372 2329 5 observer observer NN 63372 2329 6 moving move VBG 63372 2329 7 past past IN 63372 2329 8 our -PRON- PRP$ 63372 2329 9 earth earth NN 63372 2329 10 with with IN 63372 2329 11 a a DT 63372 2329 12 velocity velocity NN 63372 2329 13 which which WDT 63372 2329 14 is be VBZ 63372 2329 15 nine nine CD 63372 2329 16 - - HYPH 63372 2329 17 tenths tenth NNS 63372 2329 18 that that WDT 63372 2329 19 of of IN 63372 2329 20 light light NN 63372 2329 21 , , , 63372 2329 22 a a DT 63372 2329 23 meter meter NN 63372 2329 24 stick stick NN 63372 2329 25 on on IN 63372 2329 26 the the DT 63372 2329 27 earth earth NN 63372 2329 28 would would MD 63372 2329 29 be be VB 63372 2329 30 44 44 CD 63372 2329 31 centimeters centimeter NNS 63372 2329 32 as as IN 63372 2329 33 measured measure VBN 63372 2329 34 by by IN 63372 2329 35 him -PRON- PRP 63372 2329 36 , , , 63372 2329 37 while while IN 63372 2329 38 a a DT 63372 2329 39 second second NN 63372 2329 40 on on IN 63372 2329 41 our -PRON- PRP$ 63372 2329 42 clocks clock NNS 63372 2329 43 would would MD 63372 2329 44 be be VB 63372 2329 45 about about RB 63372 2329 46 two two CD 63372 2329 47 and and CC 63372 2329 48 a a DT 63372 2329 49 half half NN 63372 2329 50 seconds second NNS 63372 2329 51 as as IN 63372 2329 52 marked mark VBN 63372 2329 53 by by IN 63372 2329 54 his -PRON- PRP$ 63372 2329 55 clock clock NN 63372 2329 56 . . . 63372 2330 1 Similarly similarly RB 63372 2330 2 , , , 63372 2330 3 what what WP 63372 2330 4 he -PRON- PRP 63372 2330 5 calls call VBZ 63372 2330 6 a a DT 63372 2330 7 meter meter NN 63372 2330 8 length length NN 63372 2330 9 would would MD 63372 2330 10 , , , 63372 2330 11 for for IN 63372 2330 12 us -PRON- PRP 63372 2330 13 , , , 63372 2330 14 be be VB 63372 2330 15 only only RB 63372 2330 16 44 44 CD 63372 2330 17 centimeters centimeter NNS 63372 2330 18 and and CC 63372 2330 19 he -PRON- PRP 63372 2330 20 would would MD 63372 2330 21 appear appear VB 63372 2330 22 to to IN 63372 2330 23 us -PRON- PRP 63372 2330 24 to to TO 63372 2330 25 be be VB 63372 2330 26 living live VBG 63372 2330 27 about about RB 63372 2330 28 two two CD 63372 2330 29 and and CC 63372 2330 30 a a DT 63372 2330 31 half half NN 63372 2330 32 times time NNS 63372 2330 33 slower slow JJR 63372 2330 34 than than IN 63372 2330 35 we -PRON- PRP 63372 2330 36 are be VBP 63372 2330 37 . . . 63372 2331 1 Each each DT 63372 2331 2 observer observer NN 63372 2331 3 is be VBZ 63372 2331 4 perfectly perfectly RB 63372 2331 5 consistent consistent JJ 63372 2331 6 in in IN 63372 2331 7 his -PRON- PRP$ 63372 2331 8 measurements measurement NNS 63372 2331 9 of of IN 63372 2331 10 time time NN 63372 2331 11 and and CC 63372 2331 12 space space NN 63372 2331 13 as as RB 63372 2331 14 long long RB 63372 2331 15 as as IN 63372 2331 16 he -PRON- PRP 63372 2331 17 confines confine VBZ 63372 2331 18 his -PRON- PRP$ 63372 2331 19 observations observation NNS 63372 2331 20 to to IN 63372 2331 21 his -PRON- PRP$ 63372 2331 22 own own JJ 63372 2331 23 system system NN 63372 2331 24 , , , 63372 2331 25 but but CC 63372 2331 26 when when WRB 63372 2331 27 he -PRON- PRP 63372 2331 28 tries try VBZ 63372 2331 29 to to TO 63372 2331 30 make make VB 63372 2331 31 observations observation NNS 63372 2331 32 on on IN 63372 2331 33 another another DT 63372 2331 34 system system NN 63372 2331 35 moving move VBG 63372 2331 36 past past IN 63372 2331 37 his -PRON- PRP 63372 2331 38 , , , 63372 2331 39 he -PRON- PRP 63372 2331 40 finds find VBZ 63372 2331 41 that that IN 63372 2331 42 the the DT 63372 2331 43 results result NNS 63372 2331 44 which which WDT 63372 2331 45 he -PRON- PRP 63372 2331 46 obtains obtain VBZ 63372 2331 47 do do VBP 63372 2331 48 not not RB 63372 2331 49 agree agree VB 63372 2331 50 with with IN 63372 2331 51 those those DT 63372 2331 52 obtained obtain VBN 63372 2331 53 by by IN 63372 2331 54 the the DT 63372 2331 55 other other JJ 63372 2331 56 observer observer NN 63372 2331 57 . . . 63372 2332 1 It -PRON- PRP 63372 2332 2 is be VBZ 63372 2332 3 not not RB 63372 2332 4 surprising surprising JJ 63372 2332 5 that that IN 63372 2332 6 in in IN 63372 2332 7 accordance accordance NN 63372 2332 8 with with IN 63372 2332 9 this this DT 63372 2332 10 conclusion conclusion NN 63372 2332 11 it -PRON- PRP 63372 2332 12 also also RB 63372 2332 13 follows follow VBZ 63372 2332 14 that that IN 63372 2332 15 the the DT 63372 2332 16 mass mass NN 63372 2332 17 of of IN 63372 2332 18 a a DT 63372 2332 19 body body NN 63372 2332 20 must must MD 63372 2332 21 increase increase VB 63372 2332 22 with with IN 63372 2332 23 its -PRON- PRP$ 63372 2332 24 velocity velocity NN 63372 2332 25 . . . 63372 2333 1 For for IN 63372 2333 2 low low JJ 63372 2333 3 velocities velocity NNS 63372 2333 4 the the DT 63372 2333 5 increase increase NN 63372 2333 6 is be VBZ 63372 2333 7 so so RB 63372 2333 8 small small JJ 63372 2333 9 that that IN 63372 2333 10 we -PRON- PRP 63372 2333 11 can can MD 63372 2333 12 not not RB 63372 2333 13 ever ever RB 63372 2333 14 hope hope VB 63372 2333 15 to to TO 63372 2333 16 measure measure VB 63372 2333 17 it -PRON- PRP 63372 2333 18 , , , 63372 2333 19 but but CC 63372 2333 20 as as IN 63372 2333 21 the the DT 63372 2333 22 velocity velocity NN 63372 2333 23 of of IN 63372 2333 24 light light NN 63372 2333 25 is be VBZ 63372 2333 26 approached approach VBN 63372 2333 27 the the DT 63372 2333 28 difference difference NN 63372 2333 29 becomes become VBZ 63372 2333 30 more more JJR 63372 2333 31 and and CC 63372 2333 32 more more RBR 63372 2333 33 appreciable appreciable JJ 63372 2333 34 and and CC 63372 2333 35 a a DT 63372 2333 36 body body NN 63372 2333 37 having have VBG 63372 2333 38 the the DT 63372 2333 39 velocity velocity NN 63372 2333 40 of of IN 63372 2333 41 light light NN 63372 2333 42 would would MD 63372 2333 43 possess possess VB 63372 2333 44 infinite infinite JJ 63372 2333 45 mass mass NNP 63372 2333 46 , , , 63372 2333 47 which which WDT 63372 2333 48 simply simply RB 63372 2333 49 means mean VBZ 63372 2333 50 that that IN 63372 2333 51 such such PDT 63372 2333 52 a a DT 63372 2333 53 velocity velocity NN 63372 2333 54 can can MD 63372 2333 55 not not RB 63372 2333 56 be be VB 63372 2333 57 attained attain VBN 63372 2333 58 by by IN 63372 2333 59 any any DT 63372 2333 60 material material JJ 63372 2333 61 object object NN 63372 2333 62 . . . 63372 2334 1 This this DT 63372 2334 2 conclusion conclusion NN 63372 2334 3 has have VBZ 63372 2334 4 been be VBN 63372 2334 5 experimentally experimentally RB 63372 2334 6 confirmed confirm VBN 63372 2334 7 by by IN 63372 2334 8 observations observation NNS 63372 2334 9 on on IN 63372 2334 10 the the DT 63372 2334 11 mass mass NN 63372 2334 12 of of IN 63372 2334 13 the the DT 63372 2334 14 extremely extremely RB 63372 2334 15 small small JJ 63372 2334 16 negatively negatively RB 63372 2334 17 charged charge VBN 63372 2334 18 particles particle NNS 63372 2334 19 which which WDT 63372 2334 20 are be VBP 63372 2334 21 emitted emit VBN 63372 2334 22 by by IN 63372 2334 23 radioactive radioactive JJ 63372 2334 24 elements element NNS 63372 2334 25 . . . 63372 2335 1 Some some DT 63372 2335 2 of of IN 63372 2335 3 these these DT 63372 2335 4 particles particle NNS 63372 2335 5 are be VBP 63372 2335 6 ejected eject VBN 63372 2335 7 with with IN 63372 2335 8 velocities velocity NNS 63372 2335 9 which which WDT 63372 2335 10 are be VBP 63372 2335 11 over over IN 63372 2335 12 nine nine CD 63372 2335 13 - - HYPH 63372 2335 14 tenths tenth NNS 63372 2335 15 that that WDT 63372 2335 16 of of IN 63372 2335 17 light light NN 63372 2335 18 , , , 63372 2335 19 and and CC 63372 2335 20 measurements measurement NNS 63372 2335 21 show show VBP 63372 2335 22 that that IN 63372 2335 23 the the DT 63372 2335 24 increase increase NN 63372 2335 25 in in IN 63372 2335 26 mass mass NNP 63372 2335 27 is be VBZ 63372 2335 28 in in IN 63372 2335 29 accord accord NN 63372 2335 30 with with IN 63372 2335 31 this this DT 63372 2335 32 theory theory NN 63372 2335 33 . . . 63372 2336 1 The the DT 63372 2336 2 relativity relativity NN 63372 2336 3 theory theory NN 63372 2336 4 also also RB 63372 2336 5 throws throw VBZ 63372 2336 6 new new JJ 63372 2336 7 light light NN 63372 2336 8 on on IN 63372 2336 9 the the DT 63372 2336 10 nature nature NN 63372 2336 11 of of IN 63372 2336 12 mass mass NNP 63372 2336 13 itself -PRON- PRP 63372 2336 14 . . . 63372 2337 1 According accord VBG 63372 2337 2 to to IN 63372 2337 3 this this DT 63372 2337 4 view view NN 63372 2337 5 , , , 63372 2337 6 mass mass NN 63372 2337 7 and and CC 63372 2337 8 energy energy NN 63372 2337 9 are be VBP 63372 2337 10 equivalent equivalent JJ 63372 2337 11 . . . 63372 2338 1 The the DT 63372 2338 2 absolute absolute JJ 63372 2338 3 destruction destruction NN 63372 2338 4 of of IN 63372 2338 5 1 1 CD 63372 2338 6 gram gram NN 63372 2338 7 of of IN 63372 2338 8 any any DT 63372 2338 9 substance substance NN 63372 2338 10 , , , 63372 2338 11 if if IN 63372 2338 12 possible possible JJ 63372 2338 13 , , , 63372 2338 14 would would MD 63372 2338 15 yield yield VB 63372 2338 16 an an DT 63372 2338 17 amount amount NN 63372 2338 18 of of IN 63372 2338 19 energy energy NN 63372 2338 20 which which WDT 63372 2338 21 is be VBZ 63372 2338 22 one one CD 63372 2338 23 hundred hundred CD 63372 2338 24 million million CD 63372 2338 25 times time NNS 63372 2338 26 as as RB 63372 2338 27 much much RB 63372 2338 28 as as IN 63372 2338 29 that that DT 63372 2338 30 obtained obtain VBN 63372 2338 31 by by IN 63372 2338 32 burning burn VBG 63372 2338 33 the the DT 63372 2338 34 same same JJ 63372 2338 35 mass mass NN 63372 2338 36 of of IN 63372 2338 37 coal coal NN 63372 2338 38 . . . 63372 2339 1 Conversely conversely RB 63372 2339 2 , , , 63372 2339 3 energy energy NN 63372 2339 4 changes change NNS 63372 2339 5 are be VBP 63372 2339 6 accompanied accompany VBN 63372 2339 7 by by IN 63372 2339 8 changes change NNS 63372 2339 9 in in IN 63372 2339 10 mass mass NN 63372 2339 11 . . . 63372 2340 1 The the DT 63372 2340 2 latter latter JJ 63372 2340 3 are be VBP 63372 2340 4 ordinarily ordinarily RB 63372 2340 5 so so RB 63372 2340 6 inappreciably inappreciably RB 63372 2340 7 small small JJ 63372 2340 8 as as IN 63372 2340 9 to to TO 63372 2340 10 escape escape VB 63372 2340 11 our -PRON- PRP$ 63372 2340 12 most most RBS 63372 2340 13 refined refined JJ 63372 2340 14 methods method NNS 63372 2340 15 of of IN 63372 2340 16 measurements measurement NNS 63372 2340 17 , , , 63372 2340 18 but but CC 63372 2340 19 in in IN 63372 2340 20 the the DT 63372 2340 21 case case NN 63372 2340 22 of of IN 63372 2340 23 the the DT 63372 2340 24 radioactive radioactive JJ 63372 2340 25 elements element NNS 63372 2340 26 we -PRON- PRP 63372 2340 27 actually actually RB 63372 2340 28 observe observe VBP 63372 2340 29 this this DT 63372 2340 30 phenomenon phenomenon NN 63372 2340 31 . . . 63372 2341 1 From from IN 63372 2341 2 this this DT 63372 2341 3 standpoint standpoint NN 63372 2341 4 , , , 63372 2341 5 also also RB 63372 2341 6 , , , 63372 2341 7 the the DT 63372 2341 8 laws law NNS 63372 2341 9 of of IN 63372 2341 10 conservation conservation NN 63372 2341 11 of of IN 63372 2341 12 energy energy NN 63372 2341 13 and and CC 63372 2341 14 of of IN 63372 2341 15 mass mass NN 63372 2341 16 are be VBP 63372 2341 17 shown show VBN 63372 2341 18 to to TO 63372 2341 19 be be VB 63372 2341 20 intimately intimately RB 63372 2341 21 related relate VBN 63372 2341 22 . . . 63372 2342 1 UNIVERSAL UNIVERSAL NNP 63372 2342 2 RELATIVITY RELATIVITY NNP 63372 2342 3 So so RB 63372 2342 4 far far RB 63372 2342 5 we -PRON- PRP 63372 2342 6 have have VBP 63372 2342 7 dealt deal VBN 63372 2342 8 with with IN 63372 2342 9 what what WP 63372 2342 10 has have VBZ 63372 2342 11 been be VBN 63372 2342 12 designated designate VBN 63372 2342 13 as as IN 63372 2342 14 the the DT 63372 2342 15 special special JJ 63372 2342 16 theory theory NN 63372 2342 17 of of IN 63372 2342 18 relativity relativity NN 63372 2342 19 . . . 63372 2343 1 This this DT 63372 2343 2 , , , 63372 2343 3 as as IN 63372 2343 4 we -PRON- PRP 63372 2343 5 have have VBP 63372 2343 6 seen see VBN 63372 2343 7 , , , 63372 2343 8 applies apply VBZ 63372 2343 9 to to TO 63372 2343 10 uniform uniform VB 63372 2343 11 motion motion NN 63372 2343 12 only only RB 63372 2343 13 . . . 63372 2344 1 In in IN 63372 2344 2 extending extend VBG 63372 2344 3 the the DT 63372 2344 4 theory theory NN 63372 2344 5 to to TO 63372 2344 6 include include VB 63372 2344 7 non non JJ 63372 2344 8 - - JJ 63372 2344 9 uniform uniform JJ 63372 2344 10 or or CC 63372 2344 11 accelerated accelerated JJ 63372 2344 12 motion motion NN 63372 2344 13 , , , 63372 2344 14 Einstein Einstein NNP 63372 2344 15 has have VBZ 63372 2344 16 at at IN 63372 2344 17 the the DT 63372 2344 18 same same JJ 63372 2344 19 time time NN 63372 2344 20 deduced deduce VBD 63372 2344 21 a a DT 63372 2344 22 law law NN 63372 2344 23 of of IN 63372 2344 24 gravitation gravitation NN 63372 2344 25 which which WDT 63372 2344 26 is be VBZ 63372 2344 27 much much RB 63372 2344 28 more more RBR 63372 2344 29 general general JJ 63372 2344 30 than than IN 63372 2344 31 that that DT 63372 2344 32 of of IN 63372 2344 33 Newton Newton NNP 63372 2344 34 . . . 63372 2345 1 A a DT 63372 2345 2 body body NN 63372 2345 3 falling fall VBG 63372 2345 4 towards towards IN 63372 2345 5 the the DT 63372 2345 6 earth earth NN 63372 2345 7 increases increase VBZ 63372 2345 8 in in IN 63372 2345 9 velocity velocity NN 63372 2345 10 as as IN 63372 2345 11 it -PRON- PRP 63372 2345 12 falls fall VBZ 63372 2345 13 . . . 63372 2346 1 The the DT 63372 2346 2 motion motion NN 63372 2346 3 is be VBZ 63372 2346 4 said say VBN 63372 2346 5 to to TO 63372 2346 6 be be VB 63372 2346 7 accelerated accelerate VBN 63372 2346 8 . . . 63372 2347 1 We -PRON- PRP 63372 2347 2 ascribe ascribe VBP 63372 2347 3 this this DT 63372 2347 4 increase increase NN 63372 2347 5 in in IN 63372 2347 6 velocity velocity NN 63372 2347 7 to to IN 63372 2347 8 a a DT 63372 2347 9 gravitational gravitational JJ 63372 2347 10 force force NN 63372 2347 11 exerted exert VBN 63372 2347 12 by by IN 63372 2347 13 the the DT 63372 2347 14 earth earth NN 63372 2347 15 on on IN 63372 2347 16 all all DT 63372 2347 17 objects object NNS 63372 2347 18 . . . 63372 2348 1 As as IN 63372 2348 2 shown show VBN 63372 2348 3 by by IN 63372 2348 4 Newton Newton NNP 63372 2348 5 , , , 63372 2348 6 this this DT 63372 2348 7 force force NN 63372 2348 8 acts act VBZ 63372 2348 9 between between IN 63372 2348 10 all all DT 63372 2348 11 particles particle NNS 63372 2348 12 of of IN 63372 2348 13 matter matter NN 63372 2348 14 in in IN 63372 2348 15 the the DT 63372 2348 16 universe universe NN 63372 2348 17 , , , 63372 2348 18 and and CC 63372 2348 19 varies vary VBZ 63372 2348 20 inversely inversely RB 63372 2348 21 as as IN 63372 2348 22 the the DT 63372 2348 23 square square NN 63372 2348 24 of of IN 63372 2348 25 the the DT 63372 2348 26 distance distance NN 63372 2348 27 , , , 63372 2348 28 and and CC 63372 2348 29 directly directly RB 63372 2348 30 as as IN 63372 2348 31 the the DT 63372 2348 32 product product NN 63372 2348 33 of of IN 63372 2348 34 the the DT 63372 2348 35 masses masse NNS 63372 2348 36 . . . 63372 2349 1 Of of RB 63372 2349 2 course course RB 63372 2349 3 , , , 63372 2349 4 we -PRON- PRP 63372 2349 5 have have VBP 63372 2349 6 had have VBN 63372 2349 7 a a DT 63372 2349 8 number number NN 63372 2349 9 of of IN 63372 2349 10 theories theory NNS 63372 2349 11 of of IN 63372 2349 12 gravitation gravitation NN 63372 2349 13 , , , 63372 2349 14 and and CC 63372 2349 15 none none NN 63372 2349 16 of of IN 63372 2349 17 them -PRON- PRP 63372 2349 18 have have VBP 63372 2349 19 proven prove VBN 63372 2349 20 successful successful JJ 63372 2349 21 . . . 63372 2350 1 Einstein Einstein NNP 63372 2350 2 , , , 63372 2350 3 however however RB 63372 2350 4 , , , 63372 2350 5 was be VBD 63372 2350 6 the the DT 63372 2350 7 first first JJ 63372 2350 8 one one CD 63372 2350 9 to to TO 63372 2350 10 suggest suggest VB 63372 2350 11 a a DT 63372 2350 12 conception conception NN 63372 2350 13 of of IN 63372 2350 14 gravitation gravitation NN 63372 2350 15 which which WDT 63372 2350 16 has have VBZ 63372 2350 17 proven prove VBN 63372 2350 18 extremely extremely RB 63372 2350 19 significant significant JJ 63372 2350 20 . . . 63372 2351 1 He -PRON- PRP 63372 2351 2 points point VBZ 63372 2351 3 out out RP 63372 2351 4 that that IN 63372 2351 5 a a DT 63372 2351 6 gravitational gravitational JJ 63372 2351 7 force force NN 63372 2351 8 is be VBZ 63372 2351 9 non non JJ 63372 2351 10 - - JJ 63372 2351 11 existent existent NN 63372 2351 12 for for IN 63372 2351 13 a a DT 63372 2351 14 person person NN 63372 2351 15 falling fall VBG 63372 2351 16 freely freely RB 63372 2351 17 with with IN 63372 2351 18 the the DT 63372 2351 19 acceleration acceleration NN 63372 2351 20 due due IN 63372 2351 21 to to IN 63372 2351 22 gravity gravity NN 63372 2351 23 . . . 63372 2352 1 For for IN 63372 2352 2 this this DT 63372 2352 3 person person NN 63372 2352 4 there there EX 63372 2352 5 is be VBZ 63372 2352 6 no no DT 63372 2352 7 sensation sensation NN 63372 2352 8 of of IN 63372 2352 9 weight weight NN 63372 2352 10 , , , 63372 2352 11 and and CC 63372 2352 12 if if IN 63372 2352 13 he -PRON- PRP 63372 2352 14 were be VBD 63372 2352 15 in in IN 63372 2352 16 a a DT 63372 2352 17 closed close VBN 63372 2352 18 box box NN 63372 2352 19 which which WDT 63372 2352 20 is be VBZ 63372 2352 21 also also RB 63372 2352 22 falling fall VBG 63372 2352 23 with with IN 63372 2352 24 the the DT 63372 2352 25 same same JJ 63372 2352 26 acceleration acceleration NN 63372 2352 27 , , , 63372 2352 28 he -PRON- PRP 63372 2352 29 would would MD 63372 2352 30 be be VB 63372 2352 31 unable unable JJ 63372 2352 32 to to TO 63372 2352 33 decide decide VB 63372 2352 34 as as IN 63372 2352 35 to to IN 63372 2352 36 whether whether IN 63372 2352 37 his -PRON- PRP$ 63372 2352 38 system system NN 63372 2352 39 were be VBD 63372 2352 40 falling fall VBG 63372 2352 41 or or CC 63372 2352 42 situated situate VBN 63372 2352 43 in in IN 63372 2352 44 interplanetary interplanetary JJ 63372 2352 45 space space NN 63372 2352 46 where where WRB 63372 2352 47 there there EX 63372 2352 48 is be VBZ 63372 2352 49 no no DT 63372 2352 50 gravitational gravitational JJ 63372 2352 51 field field NN 63372 2352 52 . . . 63372 2353 1 Furthermore furthermore RB 63372 2353 2 , , , 63372 2353 3 if if IN 63372 2353 4 he -PRON- PRP 63372 2353 5 were be VBD 63372 2353 6 to to TO 63372 2353 7 carry carry VB 63372 2353 8 out out RP 63372 2353 9 any any DT 63372 2353 10 optical optical JJ 63372 2353 11 or or CC 63372 2353 12 electrical electrical JJ 63372 2353 13 experiments experiment NNS 63372 2353 14 in in IN 63372 2353 15 this this DT 63372 2353 16 box box NN 63372 2353 17 he -PRON- PRP 63372 2353 18 would would MD 63372 2353 19 observe observe VB 63372 2353 20 the the DT 63372 2353 21 same same JJ 63372 2353 22 results result NNS 63372 2353 23 as as IN 63372 2353 24 an an DT 63372 2353 25 experimenter experimenter NN 63372 2353 26 on on IN 63372 2353 27 the the DT 63372 2353 28 earth earth NN 63372 2353 29 . . . 63372 2354 1 A a DT 63372 2354 2 ray ray NN 63372 2354 3 of of IN 63372 2354 4 light light NN 63372 2354 5 would would MD 63372 2354 6 travel travel VB 63372 2354 7 in in IN 63372 2354 8 a a DT 63372 2354 9 straight straight JJ 63372 2354 10 line line NN 63372 2354 11 so so RB 63372 2354 12 far far RB 63372 2354 13 as as IN 63372 2354 14 this this DT 63372 2354 15 observer observer NN 63372 2354 16 can can MD 63372 2354 17 perceive perceive VB 63372 2354 18 , , , 63372 2354 19 while while IN 63372 2354 20 an an DT 63372 2354 21 external external JJ 63372 2354 22 observer observer NN 63372 2354 23 would would MD 63372 2354 24 , , , 63372 2354 25 of of IN 63372 2354 26 course course NN 63372 2354 27 , , , 63372 2354 28 judge judge VB 63372 2354 29 differently differently RB 63372 2354 30 . . . 63372 2355 1 Einstein Einstein NNP 63372 2355 2 shows show VBZ 63372 2355 3 that that IN 63372 2355 4 this this DT 63372 2355 5 is be VBZ 63372 2355 6 equally equally RB 63372 2355 7 true true JJ 63372 2355 8 for for IN 63372 2355 9 all all DT 63372 2355 10 kinds kind NNS 63372 2355 11 of of IN 63372 2355 12 acceleration acceleration NN 63372 2355 13 including include VBG 63372 2355 14 that that IN 63372 2355 15 due due IN 63372 2355 16 to to IN 63372 2355 17 rotation rotation NN 63372 2355 18 . . . 63372 2356 1 In in IN 63372 2356 2 the the DT 63372 2356 3 case case NN 63372 2356 4 of of IN 63372 2356 5 a a DT 63372 2356 6 rotating rotate VBG 63372 2356 7 body body NN 63372 2356 8 there there EX 63372 2356 9 exists exist VBZ 63372 2356 10 a a DT 63372 2356 11 centrifugal centrifugal JJ 63372 2356 12 force force NN 63372 2356 13 which which WDT 63372 2356 14 tends tend VBZ 63372 2356 15 to to TO 63372 2356 16 make make VB 63372 2356 17 objects object NNS 63372 2356 18 on on IN 63372 2356 19 the the DT 63372 2356 20 surface surface NN 63372 2356 21 fly fly NN 63372 2356 22 outwards outward NNS 63372 2356 23 , , , 63372 2356 24 but but CC 63372 2356 25 for for IN 63372 2356 26 an an DT 63372 2356 27 external external JJ 63372 2356 28 observer observer NN 63372 2356 29 this this DT 63372 2356 30 force force NN 63372 2356 31 does do VBZ 63372 2356 32 not not RB 63372 2356 33 exist exist VB 63372 2356 34 any any DT 63372 2356 35 more more RBR 63372 2356 36 than than IN 63372 2356 37 gravity gravity NN 63372 2356 38 exists exist VBZ 63372 2356 39 for for IN 63372 2356 40 the the DT 63372 2356 41 observer observer NN 63372 2356 42 falling fall VBG 63372 2356 43 freely freely RB 63372 2356 44 . . . 63372 2357 1 Thus thus RB 63372 2357 2 we -PRON- PRP 63372 2357 3 can can MD 63372 2357 4 draw draw VB 63372 2357 5 the the DT 63372 2357 6 general general JJ 63372 2357 7 conclusion conclusion NN 63372 2357 8 that that IN 63372 2357 9 a a DT 63372 2357 10 gravitational gravitational JJ 63372 2357 11 field field NN 63372 2357 12 or or CC 63372 2357 13 any any DT 63372 2357 14 other other JJ 63372 2357 15 field field NN 63372 2357 16 of of IN 63372 2357 17 force force NN 63372 2357 18 may may MD 63372 2357 19 be be VB 63372 2357 20 eliminated eliminate VBN 63372 2357 21 by by IN 63372 2357 22 choosing choose VBG 63372 2357 23 an an DT 63372 2357 24 observer observer NN 63372 2357 25 moving move VBG 63372 2357 26 with with IN 63372 2357 27 the the DT 63372 2357 28 proper proper JJ 63372 2357 29 acceleration acceleration NN 63372 2357 30 . . . 63372 2358 1 For for IN 63372 2358 2 this this DT 63372 2358 3 observer observer NN 63372 2358 4 , , , 63372 2358 5 however however RB 63372 2358 6 , , , 63372 2358 7 the the DT 63372 2358 8 laws law NNS 63372 2358 9 of of IN 63372 2358 10 optics optic NNS 63372 2358 11 and and CC 63372 2358 12 electricity electricity NN 63372 2358 13 must must MD 63372 2358 14 be be VB 63372 2358 15 just just RB 63372 2358 16 as as RB 63372 2358 17 valid valid JJ 63372 2358 18 as as IN 63372 2358 19 for for IN 63372 2358 20 an an DT 63372 2358 21 observer observer NN 63372 2358 22 on on IN 63372 2358 23 the the DT 63372 2358 24 earth earth NN 63372 2358 25 . . . 63372 2359 1 In in IN 63372 2359 2 postulating postulate VBG 63372 2359 3 this this DT 63372 2359 4 equivalence equivalence NN 63372 2359 5 hypothesis hypothesis NN 63372 2359 6 Einstein Einstein NNP 63372 2359 7 merely merely RB 63372 2359 8 makes make VBZ 63372 2359 9 use use NN 63372 2359 10 of of IN 63372 2359 11 the the DT 63372 2359 12 very very RB 63372 2359 13 familiar familiar JJ 63372 2359 14 observation observation NN 63372 2359 15 that that IN 63372 2359 16 , , , 63372 2359 17 independently independently RB 63372 2359 18 of of IN 63372 2359 19 the the DT 63372 2359 20 nature nature NN 63372 2359 21 of of IN 63372 2359 22 the the DT 63372 2359 23 material material NN 63372 2359 24 , , , 63372 2359 25 all all DT 63372 2359 26 bodies body NNS 63372 2359 27 possess possess VBP 63372 2359 28 the the DT 63372 2359 29 same same JJ 63372 2359 30 acceleration acceleration NN 63372 2359 31 in in IN 63372 2359 32 a a DT 63372 2359 33 given give VBN 63372 2359 34 field field NN 63372 2359 35 of of IN 63372 2359 36 force force NN 63372 2359 37 . . . 63372 2360 1 The the DT 63372 2360 2 problem problem NN 63372 2360 3 which which WDT 63372 2360 4 Einstein Einstein NNP 63372 2360 5 now now RB 63372 2360 6 sets set VBZ 63372 2360 7 out out RP 63372 2360 8 to to TO 63372 2360 9 solve solve VB 63372 2360 10 is be VBZ 63372 2360 11 that that DT 63372 2360 12 of of IN 63372 2360 13 determining determine VBG 63372 2360 14 the the DT 63372 2360 15 law law NN 63372 2360 16 which which WDT 63372 2360 17 shall shall MD 63372 2360 18 describe describe VB 63372 2360 19 the the DT 63372 2360 20 motion motion NN 63372 2360 21 of of IN 63372 2360 22 any any DT 63372 2360 23 system system NN 63372 2360 24 in in IN 63372 2360 25 a a DT 63372 2360 26 field field NN 63372 2360 27 of of IN 63372 2360 28 force force NN 63372 2360 29 in in IN 63372 2360 30 such such PDT 63372 2360 31 a a DT 63372 2360 32 general general JJ 63372 2360 33 manner manner NN 63372 2360 34 as as IN 63372 2360 35 to to TO 63372 2360 36 leave leave VB 63372 2360 37 unaltered unaltered JJ 63372 2360 38 the the DT 63372 2360 39 fundamental fundamental JJ 63372 2360 40 relations relation NNS 63372 2360 41 of of IN 63372 2360 42 electricity electricity NN 63372 2360 43 and and CC 63372 2360 44 optics optic NNS 63372 2360 45 . . . 63372 2361 1 In in IN 63372 2361 2 connection connection NN 63372 2361 3 with with IN 63372 2361 4 the the DT 63372 2361 5 solution solution NN 63372 2361 6 of of IN 63372 2361 7 this this DT 63372 2361 8 problem problem NN 63372 2361 9 he -PRON- PRP 63372 2361 10 finds find VBZ 63372 2361 11 it -PRON- PRP 63372 2361 12 necessary necessary JJ 63372 2361 13 to to TO 63372 2361 14 discard discard VB 63372 2361 15 the the DT 63372 2361 16 limitations limitation NNS 63372 2361 17 placed place VBN 63372 2361 18 on on IN 63372 2361 19 us -PRON- PRP 63372 2361 20 by by IN 63372 2361 21 ordinary ordinary JJ 63372 2361 22 or or CC 63372 2361 23 Euclidean euclidean JJ 63372 2361 24 geometry geometry NN 63372 2361 25 . . . 63372 2362 1 In in IN 63372 2362 2 this this DT 63372 2362 3 manner manner NN 63372 2362 4 geometrical geometrical JJ 63372 2362 5 concepts concept NNS 63372 2362 6 as as RB 63372 2362 7 well well RB 63372 2362 8 as as IN 63372 2362 9 those those DT 63372 2362 10 of of IN 63372 2362 11 force force NN 63372 2362 12 are be VBP 63372 2362 13 completely completely RB 63372 2362 14 robbed rob VBN 63372 2362 15 of of IN 63372 2362 16 all all DT 63372 2362 17 notions notion NNS 63372 2362 18 of of IN 63372 2362 19 absoluteness absoluteness NN 63372 2362 20 , , , 63372 2362 21 and and CC 63372 2362 22 the the DT 63372 2362 23 goal goal NN 63372 2362 24 of of IN 63372 2362 25 a a DT 63372 2362 26 general general JJ 63372 2362 27 theory theory NN 63372 2362 28 of of IN 63372 2362 29 relativity relativity NN 63372 2362 30 is be VBZ 63372 2362 31 attained attain VBN 63372 2362 32 . . . 63372 2363 1 THE the DT 63372 2363 2 GEOMETRY GEOMETRY NNP 63372 2363 3 OF of IN 63372 2363 4 GRAVITATION GRAVITATION NNP 63372 2363 5 Let Let VBD 63372 2363 6 us -PRON- PRP 63372 2363 7 consider consider VB 63372 2363 8 a a DT 63372 2363 9 circular circular JJ 63372 2363 10 disc disc NN 63372 2363 11 rotating rotate VBG 63372 2363 12 with with IN 63372 2363 13 a a DT 63372 2363 14 uniform uniform JJ 63372 2363 15 peripheral peripheral JJ 63372 2363 16 speed speed NN 63372 2363 17 . . . 63372 2364 1 According accord VBG 63372 2364 2 to to IN 63372 2364 3 the the DT 63372 2364 4 deductions deduction NNS 63372 2364 5 from from IN 63372 2364 6 the the DT 63372 2364 7 " " `` 63372 2364 8 special special JJ 63372 2364 9 theory theory NN 63372 2364 10 " " '' 63372 2364 11 of of IN 63372 2364 12 relativity relativity NN 63372 2364 13 , , , 63372 2364 14 an an DT 63372 2364 15 observer observer NN 63372 2364 16 situated situate VBN 63372 2364 17 near near IN 63372 2364 18 the the DT 63372 2364 19 edge edge NN 63372 2364 20 of of IN 63372 2364 21 this this DT 63372 2364 22 disc disc NN 63372 2364 23 , , , 63372 2364 24 but but CC 63372 2364 25 not not RB 63372 2364 26 rotating rotate VBG 63372 2364 27 with with IN 63372 2364 28 it -PRON- PRP 63372 2364 29 , , , 63372 2364 30 will will MD 63372 2364 31 observe observe VB 63372 2364 32 that that IN 63372 2364 33 units unit NNS 63372 2364 34 of of IN 63372 2364 35 length length NN 63372 2364 36 measured measure VBN 63372 2364 37 along along IN 63372 2364 38 the the DT 63372 2364 39 circumference circumference NN 63372 2364 40 of of IN 63372 2364 41 the the DT 63372 2364 42 disc disc NN 63372 2364 43 are be VBP 63372 2364 44 contracted contract VBN 63372 2364 45 . . . 63372 2365 1 On on IN 63372 2365 2 the the DT 63372 2365 3 other other JJ 63372 2365 4 hand hand NN 63372 2365 5 , , , 63372 2365 6 measurements measurement NNS 63372 2365 7 along along IN 63372 2365 8 the the DT 63372 2365 9 diameter diameter NN 63372 2365 10 , , , 63372 2365 11 which which WDT 63372 2365 12 is be VBZ 63372 2365 13 at at IN 63372 2365 14 right right JJ 63372 2365 15 angles angle NNS 63372 2365 16 to to IN 63372 2365 17 the the DT 63372 2365 18 direction direction NN 63372 2365 19 of of IN 63372 2365 20 motion motion NN 63372 2365 21 of of IN 63372 2365 22 the the DT 63372 2365 23 circumference circumference NN 63372 2365 24 , , , 63372 2365 25 will will MD 63372 2365 26 show show VB 63372 2365 27 no no DT 63372 2365 28 contraction contraction NN 63372 2365 29 whatever whatever WDT 63372 2365 30 , , , 63372 2365 31 and and CC 63372 2365 32 , , , 63372 2365 33 consequently consequently RB 63372 2365 34 the the DT 63372 2365 35 observer observer NN 63372 2365 36 will will MD 63372 2365 37 find find VB 63372 2365 38 that that IN 63372 2365 39 the the DT 63372 2365 40 ratio ratio NN 63372 2365 41 of of IN 63372 2365 42 circumference circumference NN 63372 2365 43 to to IN 63372 2365 44 diameter diameter NN 63372 2365 45 has have VBZ 63372 2365 46 not not RB 63372 2365 47 the the DT 63372 2365 48 well well RB 63372 2365 49 known know VBN 63372 2365 50 value value NN 63372 2365 51 3.14159 3.14159 CD 63372 2365 52 ... ... NFP 63372 2365 53 but but CC 63372 2365 54 exceeds exceed VBZ 63372 2365 55 this this DT 63372 2365 56 value value NN 63372 2365 57 , , , 63372 2365 58 the the DT 63372 2365 59 difference difference NN 63372 2365 60 being be VBG 63372 2365 61 greater great JJR 63372 2365 62 and and CC 63372 2365 63 greater great JJR 63372 2365 64 as as IN 63372 2365 65 the the DT 63372 2365 66 peripheral peripheral JJ 63372 2365 67 speed speed NN 63372 2365 68 approaches approach VBZ 63372 2365 69 that that DT 63372 2365 70 of of IN 63372 2365 71 light light NN 63372 2365 72 . . . 63372 2366 1 That that RB 63372 2366 2 is is RB 63372 2366 3 , , , 63372 2366 4 the the DT 63372 2366 5 laws law NNS 63372 2366 6 of of IN 63372 2366 7 ordinary ordinary JJ 63372 2366 8 geometry geometry NN 63372 2366 9 no no RB 63372 2366 10 longer longer RB 63372 2366 11 hold hold VB 63372 2366 12 true true JJ 63372 2366 13 . . . 63372 2367 1 However however RB 63372 2367 2 , , , 63372 2367 3 we -PRON- PRP 63372 2367 4 know know VBP 63372 2367 5 other other JJ 63372 2367 6 cases case NNS 63372 2367 7 in in IN 63372 2367 8 which which WDT 63372 2367 9 the the DT 63372 2367 10 ordinary ordinary JJ 63372 2367 11 or or CC 63372 2367 12 Euclidean euclidean JJ 63372 2367 13 geometry geometry NN 63372 2367 14 is be VBZ 63372 2367 15 not not RB 63372 2367 16 applicable applicable JJ 63372 2367 17 . . . 63372 2368 1 Thus thus RB 63372 2368 2 suppose suppose VB 63372 2368 3 that that IN 63372 2368 4 on on IN 63372 2368 5 the the DT 63372 2368 6 surface surface NN 63372 2368 7 of of IN 63372 2368 8 a a DT 63372 2368 9 sphere sphere NN 63372 2368 10 we -PRON- PRP 63372 2368 11 describe describe VBP 63372 2368 12 a a DT 63372 2368 13 series series NN 63372 2368 14 of of IN 63372 2368 15 concentric concentric JJ 63372 2368 16 circles circle NNS 63372 2368 17 . . . 63372 2369 1 Since since IN 63372 2369 2 the the DT 63372 2369 3 surface surface NN 63372 2369 4 is be VBZ 63372 2369 5 curved curved JJ 63372 2369 6 , , , 63372 2369 7 we -PRON- PRP 63372 2369 8 are be VBP 63372 2369 9 not not RB 63372 2369 10 surprised surprised JJ 63372 2369 11 at at IN 63372 2369 12 finding find VBG 63372 2369 13 that that IN 63372 2369 14 the the DT 63372 2369 15 circumference circumference NN 63372 2369 16 of of IN 63372 2369 17 any any DT 63372 2369 18 one one CD 63372 2369 19 of of IN 63372 2369 20 these these DT 63372 2369 21 circles circle NNS 63372 2369 22 is be VBZ 63372 2369 23 less less JJR 63372 2369 24 than than IN 63372 2369 25 3.14159 3.14159 CD 63372 2369 26 ... ... NFP 63372 2369 27 times time NNS 63372 2369 28 the the DT 63372 2369 29 distance distance NN 63372 2369 30 across across IN 63372 2369 31 the the DT 63372 2369 32 circle circle NN 63372 2369 33 as as IN 63372 2369 34 measured measure VBN 63372 2369 35 on on IN 63372 2369 36 the the DT 63372 2369 37 surface surface NN 63372 2369 38 of of IN 63372 2369 39 the the DT 63372 2369 40 sphere sphere NN 63372 2369 41 . . . 63372 2370 1 What what WP 63372 2370 2 this this DT 63372 2370 3 means mean VBZ 63372 2370 4 , , , 63372 2370 5 therefore therefore RB 63372 2370 6 , , , 63372 2370 7 is be VBZ 63372 2370 8 that that IN 63372 2370 9 we -PRON- PRP 63372 2370 10 can can MD 63372 2370 11 not not RB 63372 2370 12 use use VB 63372 2370 13 Euclidean euclidean JJ 63372 2370 14 geometry geometry NN 63372 2370 15 to to TO 63372 2370 16 describe describe VB 63372 2370 17 measurements measurement NNS 63372 2370 18 on on IN 63372 2370 19 the the DT 63372 2370 20 surface surface NN 63372 2370 21 of of IN 63372 2370 22 a a DT 63372 2370 23 sphere sphere NN 63372 2370 24 , , , 63372 2370 25 and and CC 63372 2370 26 every every DT 63372 2370 27 schoolboy schoolboy NN 63372 2370 28 knows know VBZ 63372 2370 29 this this DT 63372 2370 30 from from IN 63372 2370 31 comparing compare VBG 63372 2370 32 Mercator Mercator NNP 63372 2370 33 's 's POS 63372 2370 34 projection projection NN 63372 2370 35 of of IN 63372 2370 36 the the DT 63372 2370 37 earth earth NN 63372 2370 38 's 's POS 63372 2370 39 surface surface NN 63372 2370 40 with with IN 63372 2370 41 the the DT 63372 2370 42 actual actual JJ 63372 2370 43 representation representation NN 63372 2370 44 on on IN 63372 2370 45 a a DT 63372 2370 46 globe globe NN 63372 2370 47 . . . 63372 2371 1 When when WRB 63372 2371 2 we -PRON- PRP 63372 2371 3 come come VBP 63372 2371 4 to to TO 63372 2371 5 think think VB 63372 2371 6 of of IN 63372 2371 7 it -PRON- PRP 63372 2371 8 , , , 63372 2371 9 the the DT 63372 2371 10 reason reason NN 63372 2371 11 we -PRON- PRP 63372 2371 12 realize realize VBP 63372 2371 13 all all PDT 63372 2371 14 this this DT 63372 2371 15 is be VBZ 63372 2371 16 because because IN 63372 2371 17 our -PRON- PRP$ 63372 2371 18 sense sense NN 63372 2371 19 of of IN 63372 2371 20 three three CD 63372 2371 21 dimensions dimension NNS 63372 2371 22 enables enable VBZ 63372 2371 23 us -PRON- PRP 63372 2371 24 to to TO 63372 2371 25 differentiate differentiate VB 63372 2371 26 flat flat JJ 63372 2371 27 surfaces surface NNS 63372 2371 28 from from IN 63372 2371 29 those those DT 63372 2371 30 that that WDT 63372 2371 31 are be VBP 63372 2371 32 curved curved JJ 63372 2371 33 . . . 63372 2372 1 Let let VB 63372 2372 2 us -PRON- PRP 63372 2372 3 , , , 63372 2372 4 however however RB 63372 2372 5 , , , 63372 2372 6 imagine imagine VB 63372 2372 7 a a DT 63372 2372 8 two two CD 63372 2372 9 - - HYPH 63372 2372 10 dimensional dimensional JJ 63372 2372 11 being being NN 63372 2372 12 living live VBG 63372 2372 13 on on IN 63372 2372 14 the the DT 63372 2372 15 surface surface NN 63372 2372 16 of of IN 63372 2372 17 a a DT 63372 2372 18 large large JJ 63372 2372 19 sphere sphere NN 63372 2372 20 . . . 63372 2373 1 So so RB 63372 2373 2 long long RB 63372 2373 3 as as IN 63372 2373 4 his -PRON- PRP$ 63372 2373 5 measurements measurement NNS 63372 2373 6 are be VBP 63372 2373 7 confined confine VBN 63372 2373 8 to to IN 63372 2373 9 relatively relatively RB 63372 2373 10 small small JJ 63372 2373 11 areas area NNS 63372 2373 12 he -PRON- PRP 63372 2373 13 will will MD 63372 2373 14 find find VB 63372 2373 15 it -PRON- PRP 63372 2373 16 possible possible JJ 63372 2373 17 to to TO 63372 2373 18 describe describe VB 63372 2373 19 all all PDT 63372 2373 20 his -PRON- PRP$ 63372 2373 21 measurements measurement NNS 63372 2373 22 in in IN 63372 2373 23 terms term NNS 63372 2373 24 of of IN 63372 2373 25 Euclidean euclidean JJ 63372 2373 26 geometry geometry NN 63372 2373 27 . . . 63372 2374 1 As as IN 63372 2374 2 , , , 63372 2374 3 however however RB 63372 2374 4 , , , 63372 2374 5 his -PRON- PRP$ 63372 2374 6 area area NN 63372 2374 7 of of IN 63372 2374 8 operation operation NN 63372 2374 9 increases increase NNS 63372 2374 10 he -PRON- PRP 63372 2374 11 will will MD 63372 2374 12 begin begin VB 63372 2374 13 to to TO 63372 2374 14 observe observe VB 63372 2374 15 greater great JJR 63372 2374 16 and and CC 63372 2374 17 greater great JJR 63372 2374 18 discrepancies discrepancy NNS 63372 2374 19 . . . 63372 2375 1 Being be VBG 63372 2375 2 unfamiliar unfamiliar JJ 63372 2375 3 with with IN 63372 2375 4 the the DT 63372 2375 5 existence existence NN 63372 2375 6 of of IN 63372 2375 7 such such PDT 63372 2375 8 a a DT 63372 2375 9 three three CD 63372 2375 10 - - HYPH 63372 2375 11 dimensional dimensional JJ 63372 2375 12 object object NN 63372 2375 13 as as IN 63372 2375 14 a a DT 63372 2375 15 sphere sphere NN 63372 2375 16 , , , 63372 2375 17 and and CC 63372 2375 18 therefore therefore RB 63372 2375 19 not not RB 63372 2375 20 realizing realize VBG 63372 2375 21 that that IN 63372 2375 22 he -PRON- PRP 63372 2375 23 is be VBZ 63372 2375 24 on on IN 63372 2375 25 the the DT 63372 2375 26 surface surface NN 63372 2375 27 of of IN 63372 2375 28 one one CD 63372 2375 29 , , , 63372 2375 30 our -PRON- PRP$ 63372 2375 31 intelligent intelligent JJ 63372 2375 32 two two CD 63372 2375 33 - - HYPH 63372 2375 34 dimensional dimensional JJ 63372 2375 35 being being NN 63372 2375 36 will will MD 63372 2375 37 conclude conclude VB 63372 2375 38 that that IN 63372 2375 39 the the DT 63372 2375 40 disturbance disturbance NN 63372 2375 41 in in IN 63372 2375 42 his -PRON- PRP$ 63372 2375 43 geometry geometry NN 63372 2375 44 is be VBZ 63372 2375 45 due due JJ 63372 2375 46 to to IN 63372 2375 47 the the DT 63372 2375 48 action action NN 63372 2375 49 of of IN 63372 2375 50 a a DT 63372 2375 51 force force NN 63372 2375 52 , , , 63372 2375 53 and and CC 63372 2375 54 by by IN 63372 2375 55 means mean NNS 63372 2375 56 of of IN 63372 2375 57 plausible plausible JJ 63372 2375 58 assumptions assumption NNS 63372 2375 59 on on IN 63372 2375 60 the the DT 63372 2375 61 " " `` 63372 2375 62 law law NN 63372 2375 63 " " '' 63372 2375 64 of of IN 63372 2375 65 this this DT 63372 2375 66 force force NN 63372 2375 67 he -PRON- PRP 63372 2375 68 will will MD 63372 2375 69 reconcile reconcile VB 63372 2375 70 his -PRON- PRP$ 63372 2375 71 observations observation NNS 63372 2375 72 with with IN 63372 2375 73 the the DT 63372 2375 74 laws law NNS 63372 2375 75 of of IN 63372 2375 76 plane plane NN 63372 2375 77 geometry geometry NN 63372 2375 78 . . . 63372 2376 1 Now now RB 63372 2376 2 since since IN 63372 2376 3 an an DT 63372 2376 4 acceleration acceleration NN 63372 2376 5 in in IN 63372 2376 6 a a DT 63372 2376 7 gravitational gravitational JJ 63372 2376 8 field field NN 63372 2376 9 is be VBZ 63372 2376 10 identical identical JJ 63372 2376 11 with with IN 63372 2376 12 that that DT 63372 2376 13 due due IN 63372 2376 14 to to IN 63372 2376 15 centrifugal centrifugal JJ 63372 2376 16 force force NN 63372 2376 17 produced produce VBN 63372 2376 18 by by IN 63372 2376 19 rotation rotation NN 63372 2376 20 , , , 63372 2376 21 we -PRON- PRP 63372 2376 22 concluded conclude VBD 63372 2376 23 that that IN 63372 2376 24 the the DT 63372 2376 25 geometry geometry NN 63372 2376 26 in in IN 63372 2376 27 a a DT 63372 2376 28 gravitational gravitational JJ 63372 2376 29 field field NN 63372 2376 30 must must MD 63372 2376 31 also also RB 63372 2376 32 be be VB 63372 2376 33 non non JJ 63372 2376 34 - - JJ 63372 2376 35 Euclidean euclidean JJ 63372 2376 36 . . . 63372 2377 1 That that RB 63372 2377 2 is is RB 63372 2377 3 , , , 63372 2377 4 space space NN 63372 2377 5 in in IN 63372 2377 6 the the DT 63372 2377 7 neighborhood neighborhood NN 63372 2377 8 of of IN 63372 2377 9 matter matter NN 63372 2377 10 is be VBZ 63372 2377 11 distorted distort VBN 63372 2377 12 or or CC 63372 2377 13 curved curve VBN 63372 2377 14 . . . 63372 2378 1 The the DT 63372 2378 2 curvature curvature NN 63372 2378 3 of of IN 63372 2378 4 space space NN 63372 2378 5 bears bear VBZ 63372 2378 6 the the DT 63372 2378 7 same same JJ 63372 2378 8 relation relation NN 63372 2378 9 to to IN 63372 2378 10 three three CD 63372 2378 11 dimensions dimension NNS 63372 2378 12 that that WDT 63372 2378 13 the the DT 63372 2378 14 curvature curvature NN 63372 2378 15 of of IN 63372 2378 16 a a DT 63372 2378 17 spherical spherical JJ 63372 2378 18 surface surface NN 63372 2378 19 bears bear NNS 63372 2378 20 to to IN 63372 2378 21 two two CD 63372 2378 22 dimensions dimension NNS 63372 2378 23 , , , 63372 2378 24 and and CC 63372 2378 25 that that DT 63372 2378 26 is be VBZ 63372 2378 27 why why WRB 63372 2378 28 we -PRON- PRP 63372 2378 29 do do VBP 63372 2378 30 not not RB 63372 2378 31 perceive perceive VB 63372 2378 32 it -PRON- PRP 63372 2378 33 , , , 63372 2378 34 any any DT 63372 2378 35 more more RBR 63372 2378 36 than than IN 63372 2378 37 the the DT 63372 2378 38 intelligent intelligent JJ 63372 2378 39 two two CD 63372 2378 40 - - HYPH 63372 2378 41 dimensional dimensional JJ 63372 2378 42 being being NN 63372 2378 43 would would MD 63372 2378 44 be be VB 63372 2378 45 aware aware JJ 63372 2378 46 of of IN 63372 2378 47 the the DT 63372 2378 48 distortion distortion NN 63372 2378 49 of of IN 63372 2378 50 his -PRON- PRP$ 63372 2378 51 space space NN 63372 2378 52 ( ( -LRB- 63372 2378 53 or or CC 63372 2378 54 surface surface NN 63372 2378 55 ) ) -RRB- 63372 2378 56 . . . 63372 2379 1 Furthermore furthermore RB 63372 2379 2 , , , 63372 2379 3 like like IN 63372 2379 4 this this DT 63372 2379 5 being being NN 63372 2379 6 , , , 63372 2379 7 we -PRON- PRP 63372 2379 8 have have VBP 63372 2379 9 assumed assume VBN 63372 2379 10 the the DT 63372 2379 11 existence existence NN 63372 2379 12 of of IN 63372 2379 13 a a DT 63372 2379 14 gravitational gravitational JJ 63372 2379 15 force force NN 63372 2379 16 to to TO 63372 2379 17 account account VB 63372 2379 18 for for IN 63372 2379 19 discrepancies discrepancy NNS 63372 2379 20 in in IN 63372 2379 21 our -PRON- PRP$ 63372 2379 22 geometrical geometrical JJ 63372 2379 23 measurements measurement NNS 63372 2379 24 . . . 63372 2380 1 The the DT 63372 2380 2 identification identification NN 63372 2380 3 in in IN 63372 2380 4 this this DT 63372 2380 5 manner manner NN 63372 2380 6 of of IN 63372 2380 7 gravitational gravitational JJ 63372 2380 8 effects effect NNS 63372 2380 9 with with IN 63372 2380 10 geometrical geometrical JJ 63372 2380 11 curvature curvature NN 63372 2380 12 of of IN 63372 2380 13 space space NN 63372 2380 14 enables enable VBZ 63372 2380 15 Einstein Einstein NNP 63372 2380 16 to to TO 63372 2380 17 derive derive VB 63372 2380 18 a a DT 63372 2380 19 general general JJ 63372 2380 20 law law NN 63372 2380 21 for for IN 63372 2380 22 the the DT 63372 2380 23 path path NN 63372 2380 24 of of IN 63372 2380 25 any any DT 63372 2380 26 particle particle NN 63372 2380 27 in in IN 63372 2380 28 a a DT 63372 2380 29 gravitational gravitational JJ 63372 2380 30 field field NN 63372 2380 31 , , , 63372 2380 32 with with IN 63372 2380 33 respect respect NN 63372 2380 34 both both CC 63372 2380 35 to to IN 63372 2380 36 space space NN 63372 2380 37 and and CC 63372 2380 38 to to IN 63372 2380 39 time time NN 63372 2380 40 . . . 63372 2381 1 Furthermore furthermore RB 63372 2381 2 , , , 63372 2381 3 the the DT 63372 2381 4 law law NN 63372 2381 5 expresses express VBZ 63372 2381 6 this this DT 63372 2381 7 motion motion NN 63372 2381 8 in in IN 63372 2381 9 terms term NNS 63372 2381 10 which which WDT 63372 2381 11 are be VBP 63372 2381 12 independent independent JJ 63372 2381 13 of of IN 63372 2381 14 the the DT 63372 2381 15 relative relative JJ 63372 2381 16 motion motion NN 63372 2381 17 and and CC 63372 2381 18 position position NN 63372 2381 19 of of IN 63372 2381 20 the the DT 63372 2381 21 observer observer NN 63372 2381 22 , , , 63372 2381 23 and and CC 63372 2381 24 satisfies satisfy VBZ 63372 2381 25 the the DT 63372 2381 26 condition condition NN 63372 2381 27 that that IN 63372 2381 28 the the DT 63372 2381 29 fundamental fundamental JJ 63372 2381 30 laws law NNS 63372 2381 31 of of IN 63372 2381 32 physics physics NN 63372 2381 33 be be VB 63372 2381 34 equally equally RB 63372 2381 35 valid valid JJ 63372 2381 36 for for IN 63372 2381 37 all all DT 63372 2381 38 observers observer NNS 63372 2381 39 . . . 63372 2382 1 The the DT 63372 2382 2 solution solution NN 63372 2382 3 of of IN 63372 2382 4 the the DT 63372 2382 5 problem problem NN 63372 2382 6 involved involve VBD 63372 2382 7 the the DT 63372 2382 8 use use NN 63372 2382 9 of of IN 63372 2382 10 a a DT 63372 2382 11 new new JJ 63372 2382 12 kind kind NN 63372 2382 13 of of IN 63372 2382 14 higher high JJR 63372 2382 15 calculus calculus NN 63372 2382 16 , , , 63372 2382 17 elaborated elaborate VBN 63372 2382 18 by by IN 63372 2382 19 two two CD 63372 2382 20 Italian italian JJ 63372 2382 21 mathematicians mathematician NNS 63372 2382 22 , , , 63372 2382 23 Ricci Ricci NNP 63372 2382 24 and and CC 63372 2382 25 Levi Levi NNP 63372 2382 26 - - HYPH 63372 2382 27 Civita Civita NNP 63372 2382 28 . . . 63372 2383 1 The the DT 63372 2383 2 result result NN 63372 2383 3 is be VBZ 63372 2383 4 a a DT 63372 2383 5 law law NN 63372 2383 6 of of IN 63372 2383 7 motion motion NN 63372 2383 8 which which WDT 63372 2383 9 is be VBZ 63372 2383 10 extremely extremely RB 63372 2383 11 general general JJ 63372 2383 12 in in IN 63372 2383 13 its -PRON- PRP$ 63372 2383 14 validity validity NN 63372 2383 15 . . . 63372 2384 1 For for IN 63372 2384 2 low low JJ 63372 2384 3 velocities velocity NNS 63372 2384 4 it -PRON- PRP 63372 2384 5 approximates approximate VBZ 63372 2384 6 to to IN 63372 2384 7 Newton Newton NNP 63372 2384 8 's 's POS 63372 2384 9 solution solution NN 63372 2384 10 , , , 63372 2384 11 and and CC 63372 2384 12 in in IN 63372 2384 13 the the DT 63372 2384 14 absence absence NN 63372 2384 15 of of IN 63372 2384 16 a a DT 63372 2384 17 gravitational gravitational JJ 63372 2384 18 field field NN 63372 2384 19 it -PRON- PRP 63372 2384 20 leads lead VBZ 63372 2384 21 to to IN 63372 2384 22 the the DT 63372 2384 23 same same JJ 63372 2384 24 conclusions conclusion NNS 63372 2384 25 as as IN 63372 2384 26 the the DT 63372 2384 27 special special JJ 63372 2384 28 theory theory NN 63372 2384 29 of of IN 63372 2384 30 relativity relativity NN 63372 2384 31 . . . 63372 2385 1 There there EX 63372 2385 2 are be VBP 63372 2385 3 three three CD 63372 2385 4 deductions deduction NNS 63372 2385 5 from from IN 63372 2385 6 this this DT 63372 2385 7 law law NN 63372 2385 8 which which WDT 63372 2385 9 have have VBP 63372 2385 10 aroused arouse VBN 63372 2385 11 a a DT 63372 2385 12 great great JJ 63372 2385 13 deal deal NN 63372 2385 14 of of IN 63372 2385 15 interest interest NN 63372 2385 16 , , , 63372 2385 17 and and CC 63372 2385 18 the the DT 63372 2385 19 confirmation confirmation NN 63372 2385 20 of of IN 63372 2385 21 two two CD 63372 2385 22 of of IN 63372 2385 23 these these DT 63372 2385 24 by by IN 63372 2385 25 actual actual JJ 63372 2385 26 observation observation NN 63372 2385 27 must must MD 63372 2385 28 be be VB 63372 2385 29 regarded regard VBN 63372 2385 30 as as IN 63372 2385 31 striking strike VBG 63372 2385 32 proof proof NN 63372 2385 33 of of IN 63372 2385 34 Einstein Einstein NNP 63372 2385 35 's 's POS 63372 2385 36 theory theory NN 63372 2385 37 . . . 63372 2386 1 XIII XIII NNP 63372 2386 2 AN an DT 63372 2386 3 INTRODUCTION introduction NN 63372 2386 4 TO to TO 63372 2386 5 RELATIVITY relativity VB 63372 2386 6 A a DT 63372 2386 7 Treatment treatment NN 63372 2386 8 in in IN 63372 2386 9 Which which WDT 63372 2386 10 the the DT 63372 2386 11 Mathematical Mathematical NNP 63372 2386 12 Connections Connections NNPS 63372 2386 13 of of IN 63372 2386 14 Einstein Einstein NNP 63372 2386 15 's 's POS 63372 2386 16 Work work NN 63372 2386 17 are be VBP 63372 2386 18 Brought bring VBN 63372 2386 19 Out out RP 63372 2386 20 More more RBR 63372 2386 21 Strongly strongly RB 63372 2386 22 and and CC 63372 2386 23 More More JJR 63372 2386 24 Successfully successfully RB 63372 2386 25 Than than IN 63372 2386 26 Usual Usual NNP 63372 2386 27 in in IN 63372 2386 28 a a DT 63372 2386 29 Popular Popular NNP 63372 2386 30 Explanation Explanation NNP 63372 2386 31 BY by IN 63372 2386 32 HAROLD HAROLD NNS 63372 2386 33 T. t. NN 63372 2386 34 DAVIS davis NN 63372 2386 35 , , , 63372 2386 36 UNIVERSITY UNIVERSITY NNP 63372 2386 37 OF of IN 63372 2386 38 WISCONSIN WISCONSIN NNP 63372 2386 39 , , , 63372 2386 40 Madison Madison NNP 63372 2386 41 , , , 63372 2386 42 Wis. Wisconsin NNP 63372 2386 43 One one CD 63372 2386 44 of of IN 63372 2386 45 the the DT 63372 2386 46 first first JJ 63372 2386 47 questions question NNS 63372 2386 48 which which WDT 63372 2386 49 appears appear VBZ 63372 2386 50 in in IN 63372 2386 51 philosophy philosophy NN 63372 2386 52 is be VBZ 63372 2386 53 this this DT 63372 2386 54 : : : 63372 2386 55 What what WP 63372 2386 56 is be VBZ 63372 2386 57 the the DT 63372 2386 58 great great JJ 63372 2386 59 reality reality NN 63372 2386 60 that that WDT 63372 2386 61 underlies underlie VBZ 63372 2386 62 space space NN 63372 2386 63 and and CC 63372 2386 64 time time NN 63372 2386 65 and and CC 63372 2386 66 the the DT 63372 2386 67 phenomena phenomenon NNS 63372 2386 68 of of IN 63372 2386 69 the the DT 63372 2386 70 physical physical JJ 63372 2386 71 universe universe NN 63372 2386 72 ? ? . 63372 2387 1 Kant Kant NNP 63372 2387 2 , , , 63372 2387 3 the the DT 63372 2387 4 philosopher philosopher NN 63372 2387 5 , , , 63372 2387 6 dismissed dismiss VBD 63372 2387 7 it -PRON- PRP 63372 2387 8 as as IN 63372 2387 9 a a DT 63372 2387 10 subjective subjective JJ 63372 2387 11 problem problem NN 63372 2387 12 , , , 63372 2387 13 affirming affirm VBG 63372 2387 14 that that DT 63372 2387 15 space space NN 63372 2387 16 and and CC 63372 2387 17 time time NN 63372 2387 18 are be VBP 63372 2387 19 " " `` 63372 2387 20 a a FW 63372 2387 21 priori priori FW 63372 2387 22 " " '' 63372 2387 23 concepts concept NNS 63372 2387 24 beyond beyond IN 63372 2387 25 which which WDT 63372 2387 26 we -PRON- PRP 63372 2387 27 can can MD 63372 2387 28 say say VB 63372 2387 29 no no DT 63372 2387 30 more more JJR 63372 2387 31 . . . 63372 2388 1 Then then RB 63372 2388 2 the the DT 63372 2388 3 world world NN 63372 2388 4 came come VBD 63372 2388 5 upon upon IN 63372 2388 6 some some DT 63372 2388 7 startling startling JJ 63372 2388 8 facts fact NNS 63372 2388 9 . . . 63372 2389 1 In in IN 63372 2389 2 1905 1905 CD 63372 2389 3 a a DT 63372 2389 4 paper paper NN 63372 2389 5 appeared appear VBN 63372 2389 6 by by IN 63372 2389 7 Professor Professor NNP 63372 2389 8 Albert Albert NNP 63372 2389 9 Einstein Einstein NNP 63372 2389 10 which which WDT 63372 2389 11 asserted assert VBD 63372 2389 12 that that IN 63372 2389 13 the the DT 63372 2389 14 explanation explanation NN 63372 2389 15 of of IN 63372 2389 16 certain certain JJ 63372 2389 17 remarkable remarkable JJ 63372 2389 18 discoveries discovery NNS 63372 2389 19 in in IN 63372 2389 20 physics physic NNS 63372 2389 21 gave give VBD 63372 2389 22 us -PRON- PRP 63372 2389 23 a a DT 63372 2389 24 new new JJ 63372 2389 25 conception conception NN 63372 2389 26 of of IN 63372 2389 27 this this DT 63372 2389 28 strange strange JJ 63372 2389 29 four four CD 63372 2389 30 - - HYPH 63372 2389 31 dimensional dimensional JJ 63372 2389 32 manifold manifold NN 63372 2389 33 in in IN 63372 2389 34 which which WDT 63372 2389 35 we -PRON- PRP 63372 2389 36 live live VBP 63372 2389 37 . . . 63372 2390 1 Thus thus RB 63372 2390 2 , , , 63372 2390 3 the the DT 63372 2390 4 great great JJ 63372 2390 5 difference difference NN 63372 2390 6 between between IN 63372 2390 7 the the DT 63372 2390 8 space space NN 63372 2390 9 and and CC 63372 2390 10 time time NN 63372 2390 11 of of IN 63372 2390 12 philosophy philosophy NN 63372 2390 13 and and CC 63372 2390 14 the the DT 63372 2390 15 new new JJ 63372 2390 16 knowledge knowledge NN 63372 2390 17 is be VBZ 63372 2390 18 the the DT 63372 2390 19 objective objective JJ 63372 2390 20 reality reality NN 63372 2390 21 of of IN 63372 2390 22 the the DT 63372 2390 23 latter latter JJ 63372 2390 24 . . . 63372 2391 1 It -PRON- PRP 63372 2391 2 rests rest VBZ 63372 2391 3 upon upon IN 63372 2391 4 an an DT 63372 2391 5 amazing amazing JJ 63372 2391 6 sequence sequence NN 63372 2391 7 of of IN 63372 2391 8 physical physical JJ 63372 2391 9 facts fact NNS 63372 2391 10 , , , 63372 2391 11 and and CC 63372 2391 12 the the DT 63372 2391 13 generalized generalize VBN 63372 2391 14 theory theory NN 63372 2391 15 , , , 63372 2391 16 which which WDT 63372 2391 17 appeared appear VBD 63372 2391 18 several several JJ 63372 2391 19 years year NNS 63372 2391 20 later later RB 63372 2391 21 , , , 63372 2391 22 founded found VBD 63372 2391 23 as as IN 63372 2391 24 it -PRON- PRP 63372 2391 25 is be VBZ 63372 2391 26 upon upon IN 63372 2391 27 the the DT 63372 2391 28 abstruse abstruse NN 63372 2391 29 differential differential JJ 63372 2391 30 calculus calculus NN 63372 2391 31 of of IN 63372 2391 32 Riemann Riemann NNP 63372 2391 33 , , , 63372 2391 34 Christoffel Christoffel NNP 63372 2391 35 , , , 63372 2391 36 Ricci Ricci NNP 63372 2391 37 and and CC 63372 2391 38 Levi Levi NNP 63372 2391 39 - - HYPH 63372 2391 40 Civita Civita NNP 63372 2391 41 , , , 63372 2391 42 emerges emerge VBZ 63372 2391 43 from from IN 63372 2391 44 its -PRON- PRP$ 63372 2391 45 maze maze NN 63372 2391 46 of of IN 63372 2391 47 formulas formula NNS 63372 2391 48 with with IN 63372 2391 49 the the DT 63372 2391 50 prediction prediction NN 63372 2391 51 of of IN 63372 2391 52 real real JJ 63372 2391 53 phenomena phenomenon NNS 63372 2391 54 to to TO 63372 2391 55 be be VB 63372 2391 56 sought seek VBN 63372 2391 57 for for IN 63372 2391 58 the the DT 63372 2391 59 in in IN 63372 2391 60 the the DT 63372 2391 61 world world NN 63372 2391 62 of of IN 63372 2391 63 facts fact NNS 63372 2391 64 . . . 63372 2392 1 We -PRON- PRP 63372 2392 2 shall shall MD 63372 2392 3 , , , 63372 2392 4 therefore therefore RB 63372 2392 5 , , , 63372 2392 6 approach approach VB 63372 2392 7 the the DT 63372 2392 8 subject subject NN 63372 2392 9 from from IN 63372 2392 10 this this DT 63372 2392 11 objective objective JJ 63372 2392 12 point point NN 63372 2392 13 of of IN 63372 2392 14 view view NN 63372 2392 15 . . . 63372 2393 1 Let let VB 63372 2393 2 us -PRON- PRP 63372 2393 3 go go VB 63372 2393 4 to to IN 63372 2393 5 the the DT 63372 2393 6 realm realm NN 63372 2393 7 of of IN 63372 2393 8 actual actual JJ 63372 2393 9 physical physical JJ 63372 2393 10 events event NNS 63372 2393 11 and and CC 63372 2393 12 see see VB 63372 2393 13 how how WRB 63372 2393 14 the the DT 63372 2393 15 ideas idea NNS 63372 2393 16 of of IN 63372 2393 17 relativity relativity NN 63372 2393 18 gradually gradually RB 63372 2393 19 unfolded unfold VBD 63372 2393 20 themselves -PRON- PRP 63372 2393 21 from from IN 63372 2393 22 the the DT 63372 2393 23 first first JJ 63372 2393 24 crude crude JJ 63372 2393 25 wonderings wondering NNS 63372 2393 26 of of IN 63372 2393 27 science science NN 63372 2393 28 to to IN 63372 2393 29 the the DT 63372 2393 30 stately stately JJ 63372 2393 31 researches research NNS 63372 2393 32 that that WDT 63372 2393 33 first first RB 63372 2393 34 discovered discover VBD 63372 2393 35 the the DT 63372 2393 36 great great JJ 63372 2393 37 ocean ocean NN 63372 2393 38 of of IN 63372 2393 39 ether ether NNP 63372 2393 40 and and CC 63372 2393 41 then then RB 63372 2393 42 penetrated penetrate VBD 63372 2393 43 in in IN 63372 2393 44 such such PDT 63372 2393 45 a a DT 63372 2393 46 marvelous marvelous JJ 63372 2393 47 manner manner NN 63372 2393 48 into into IN 63372 2393 49 some some DT 63372 2393 50 of of IN 63372 2393 51 its -PRON- PRP$ 63372 2393 52 most most RBS 63372 2393 53 mysterious mysterious JJ 63372 2393 54 properties property NNS 63372 2393 55 . . . 63372 2394 1 THE the DT 63372 2394 2 ELECTROMAGNETIC electromagnetic NN 63372 2394 3 THEORY THEORY VBZ 63372 2394 4 OF of IN 63372 2394 5 LIGHT LIGHT NNP 63372 2394 6 Suppose suppose VB 63372 2394 7 that that IN 63372 2394 8 we -PRON- PRP 63372 2394 9 go go VBP 63372 2394 10 out out RP 63372 2394 11 on on IN 63372 2394 12 a a DT 63372 2394 13 summer summer NN 63372 2394 14 night night NN 63372 2394 15 and and CC 63372 2394 16 look look VB 63372 2394 17 into into IN 63372 2394 18 the the DT 63372 2394 19 dark dark JJ 63372 2394 20 depths depth NNS 63372 2394 21 of of IN 63372 2394 22 the the DT 63372 2394 23 sky sky NN 63372 2394 24 . . . 63372 2395 1 A a DT 63372 2395 2 thousand thousand CD 63372 2395 3 bright bright JJ 63372 2395 4 specks speck NNS 63372 2395 5 are be VBP 63372 2395 6 flashing flash VBG 63372 2395 7 there there RB 63372 2395 8 , , , 63372 2395 9 blue blue JJ 63372 2395 10 , , , 63372 2395 11 red red JJ 63372 2395 12 , , , 63372 2395 13 yellow yellow JJ 63372 2395 14 against against IN 63372 2395 15 the the DT 63372 2395 16 dark dark JJ 63372 2395 17 velvet velvet NN 63372 2395 18 of of IN 63372 2395 19 space space NN 63372 2395 20 . . . 63372 2396 1 And and CC 63372 2396 2 as as IN 63372 2396 3 we -PRON- PRP 63372 2396 4 look look VBP 63372 2396 5 we -PRON- PRP 63372 2396 6 must must MD 63372 2396 7 all all DT 63372 2396 8 be be VB 63372 2396 9 impressed impress VBN 63372 2396 10 by by IN 63372 2396 11 the the DT 63372 2396 12 fact fact NN 63372 2396 13 that that IN 63372 2396 14 such such JJ 63372 2396 15 remote remote JJ 63372 2396 16 objects object NNS 63372 2396 17 as as IN 63372 2396 18 the the DT 63372 2396 19 stars star NNS 63372 2396 20 can can MD 63372 2396 21 be be VB 63372 2396 22 known know VBN 63372 2396 23 to to IN 63372 2396 24 us -PRON- PRP 63372 2396 25 at at RB 63372 2396 26 all all RB 63372 2396 27 . . . 63372 2397 1 How how WRB 63372 2397 2 is be VBZ 63372 2397 3 it -PRON- PRP 63372 2397 4 that that DT 63372 2397 5 light light NN 63372 2397 6 , , , 63372 2397 7 that that DT 63372 2397 8 curious curious JJ 63372 2397 9 thing thing NN 63372 2397 10 which which WDT 63372 2397 11 falls fall VBZ 63372 2397 12 upon upon IN 63372 2397 13 the the DT 63372 2397 14 optic optic JJ 63372 2397 15 nerve nerve NN 63372 2397 16 and and CC 63372 2397 17 transmits transmit VBZ 63372 2397 18 its -PRON- PRP$ 63372 2397 19 pictures picture NNS 63372 2397 20 to to IN 63372 2397 21 the the DT 63372 2397 22 brain brain NN 63372 2397 23 , , , 63372 2397 24 can can MD 63372 2397 25 ever ever RB 63372 2397 26 reach reach VB 63372 2397 27 us -PRON- PRP 63372 2397 28 through through IN 63372 2397 29 the the DT 63372 2397 30 black black JJ 63372 2397 31 regions region NNS 63372 2397 32 of of IN 63372 2397 33 interstellar interstellar JJ 63372 2397 34 space space NN 63372 2397 35 ? ? . 63372 2398 1 That that DT 63372 2398 2 is be VBZ 63372 2398 3 the the DT 63372 2398 4 question question NN 63372 2398 5 which which WDT 63372 2398 6 has have VBZ 63372 2398 7 for for IN 63372 2398 8 its -PRON- PRP$ 63372 2398 9 answer answer NN 63372 2398 10 the the DT 63372 2398 11 electromagnetic electromagnetic JJ 63372 2398 12 theory theory NN 63372 2398 13 of of IN 63372 2398 14 light light NN 63372 2398 15 . . . 63372 2399 1 The the DT 63372 2399 2 first first JJ 63372 2399 3 theory theory NN 63372 2399 4 to to TO 63372 2399 5 be be VB 63372 2399 6 advanced advance VBN 63372 2399 7 was be VBD 63372 2399 8 Newton Newton NNP 63372 2399 9 's 's POS 63372 2399 10 " " `` 63372 2399 11 corpuscular corpuscular JJ 63372 2399 12 " " '' 63372 2399 13 theory theory NN 63372 2399 14 which which WDT 63372 2399 15 supposed suppose VBD 63372 2399 16 that that IN 63372 2399 17 the the DT 63372 2399 18 stars star NNS 63372 2399 19 are be VBP 63372 2399 20 sending send VBG 63372 2399 21 off off RP 63372 2399 22 into into IN 63372 2399 23 space space NN 63372 2399 24 little little JJ 63372 2399 25 pellets pellet NNS 63372 2399 26 of of IN 63372 2399 27 matter matter NN 63372 2399 28 so so RB 63372 2399 29 infinitesimally infinitesimally RB 63372 2399 30 small small JJ 63372 2399 31 that that IN 63372 2399 32 they -PRON- PRP 63372 2399 33 can can MD 63372 2399 34 move move VB 63372 2399 35 at at IN 63372 2399 36 the the DT 63372 2399 37 rate rate NN 63372 2399 38 of of IN 63372 2399 39 186,000 186,000 CD 63372 2399 40 miles mile NNS 63372 2399 41 a a DT 63372 2399 42 second second JJ 63372 2399 43 without without IN 63372 2399 44 injuring injure VBG 63372 2399 45 even even RB 63372 2399 46 so so RB 63372 2399 47 delicate delicate JJ 63372 2399 48 a a DT 63372 2399 49 thing thing NN 63372 2399 50 as as IN 63372 2399 51 the the DT 63372 2399 52 eye eye NN 63372 2399 53 when when WRB 63372 2399 54 they -PRON- PRP 63372 2399 55 strike strike VBP 63372 2399 56 against against IN 63372 2399 57 it -PRON- PRP 63372 2399 58 . . . 63372 2400 1 But but CC 63372 2400 2 in in IN 63372 2400 3 1801 1801 CD 63372 2400 4 , , , 63372 2400 5 when when WRB 63372 2400 6 Thomas Thomas NNP 63372 2400 7 Young Young NNP 63372 2400 8 made make VBD 63372 2400 9 the the DT 63372 2400 10 very very RB 63372 2400 11 important important JJ 63372 2400 12 discovery discovery NN 63372 2400 13 of of IN 63372 2400 14 interference interference NN 63372 2400 15 , , , 63372 2400 16 this this DT 63372 2400 17 had have VBD 63372 2400 18 to to TO 63372 2400 19 give give VB 63372 2400 20 way way NN 63372 2400 21 to to IN 63372 2400 22 the the DT 63372 2400 23 wave wave NN 63372 2400 24 theory theory NN 63372 2400 25 , , , 63372 2400 26 first first RB 63372 2400 27 proposed propose VBN 63372 2400 28 by by IN 63372 2400 29 Huyghens huyghen NNS 63372 2400 30 in in IN 63372 2400 31 the the DT 63372 2400 32 17th 17th JJ 63372 2400 33 century century NN 63372 2400 34 . . . 63372 2401 1 The the DT 63372 2401 2 first first JJ 63372 2401 3 great great JJ 63372 2401 4 deduction deduction NN 63372 2401 5 from from IN 63372 2401 6 this this DT 63372 2401 7 , , , 63372 2401 8 of of IN 63372 2401 9 course course NN 63372 2401 10 , , , 63372 2401 11 was be VBD 63372 2401 12 the the DT 63372 2401 13 " " `` 63372 2401 14 luminiferous luminiferous JJ 63372 2401 15 ether ether NN 63372 2401 16 , , , 63372 2401 17 " " '' 63372 2401 18 because because IN 63372 2401 19 a a DT 63372 2401 20 wave wave NN 63372 2401 21 without without IN 63372 2401 22 some some DT 63372 2401 23 medium medium NN 63372 2401 24 for for IN 63372 2401 25 its -PRON- PRP$ 63372 2401 26 propagation propagation NN 63372 2401 27 was be VBD 63372 2401 28 quite quite RB 63372 2401 29 unthinkable unthinkable JJ 63372 2401 30 . . . 63372 2402 1 Certain certain JJ 63372 2402 2 peculiar peculiar JJ 63372 2402 3 properties property NNS 63372 2402 4 of of IN 63372 2402 5 the the DT 63372 2402 6 ether ether NN 63372 2402 7 were be VBD 63372 2402 8 at at RB 63372 2402 9 once once RB 63372 2402 10 evident evident JJ 63372 2402 11 , , , 63372 2402 12 since since IN 63372 2402 13 we -PRON- PRP 63372 2402 14 deduce deduce VBP 63372 2402 15 that that IN 63372 2402 16 it -PRON- PRP 63372 2402 17 must must MD 63372 2402 18 fill fill VB 63372 2402 19 all all DT 63372 2402 20 space space NN 63372 2402 21 and and CC 63372 2402 22 at at IN 63372 2402 23 the the DT 63372 2402 24 same same JJ 63372 2402 25 time time NN 63372 2402 26 be be VB 63372 2402 27 so so RB 63372 2402 28 extremely extremely RB 63372 2402 29 tenuous tenuous JJ 63372 2402 30 that that IN 63372 2402 31 it -PRON- PRP 63372 2402 32 will will MD 63372 2402 33 not not RB 63372 2402 34 retard retard VB 63372 2402 35 to to IN 63372 2402 36 any any DT 63372 2402 37 noticeable noticeable JJ 63372 2402 38 degree degree VB 63372 2402 39 the the DT 63372 2402 40 motion motion NN 63372 2402 41 through through IN 63372 2402 42 it -PRON- PRP 63372 2402 43 of of IN 63372 2402 44 material material JJ 63372 2402 45 bodies body NNS 63372 2402 46 like like IN 63372 2402 47 the the DT 63372 2402 48 planets planet NNS 63372 2402 49 . . . 63372 2403 1 But but CC 63372 2403 2 how how WRB 63372 2403 3 light light NN 63372 2403 4 was be VBD 63372 2403 5 propagated propagate VBN 63372 2403 6 through through IN 63372 2403 7 the the DT 63372 2403 8 ether ether NN 63372 2403 9 still still RB 63372 2403 10 remained remain VBD 63372 2403 11 a a DT 63372 2403 12 perplexing perplex VBG 63372 2403 13 problem problem NN 63372 2403 14 and and CC 63372 2403 15 various various JJ 63372 2403 16 theories theory NNS 63372 2403 17 were be VBD 63372 2403 18 proposed propose VBN 63372 2403 19 , , , 63372 2403 20 most most RBS 63372 2403 21 prominent prominent JJ 63372 2403 22 among among IN 63372 2403 23 them -PRON- PRP 63372 2403 24 being be VBG 63372 2403 25 the the DT 63372 2403 26 " " `` 63372 2403 27 elastic elastic JJ 63372 2403 28 solid solid JJ 63372 2403 29 " " '' 63372 2403 30 theory theory NN 63372 2403 31 which which WDT 63372 2403 32 tried try VBD 63372 2403 33 to to TO 63372 2403 34 ascribe ascribe VB 63372 2403 35 to to IN 63372 2403 36 ether ether VB 63372 2403 37 the the DT 63372 2403 38 properties property NNS 63372 2403 39 of of IN 63372 2403 40 an an DT 63372 2403 41 elastic elastic JJ 63372 2403 42 body body NN 63372 2403 43 . . . 63372 2404 1 This this DT 63372 2404 2 theory theory NN 63372 2404 3 , , , 63372 2404 4 however however RB 63372 2404 5 , , , 63372 2404 6 laid lay VBD 63372 2404 7 itself -PRON- PRP 63372 2404 8 open open JJ 63372 2404 9 to to IN 63372 2404 10 serious serious JJ 63372 2404 11 objection objection NN 63372 2404 12 on on IN 63372 2404 13 the the DT 63372 2404 14 ground ground NN 63372 2404 15 that that IN 63372 2404 16 no no DT 63372 2404 17 longitudinal longitudinal JJ 63372 2404 18 waves wave NNS 63372 2404 19 had have VBD 63372 2404 20 been be VBN 63372 2404 21 detected detect VBN 63372 2404 22 in in IN 63372 2404 23 the the DT 63372 2404 24 ether ether NN 63372 2404 25 , , , 63372 2404 26 so so IN 63372 2404 27 that that IN 63372 2404 28 it -PRON- PRP 63372 2404 29 began begin VBD 63372 2404 30 to to TO 63372 2404 31 appear appear VB 63372 2404 32 that that IN 63372 2404 33 further further JJ 63372 2404 34 insight insight NN 63372 2404 35 into into IN 63372 2404 36 the the DT 63372 2404 37 nature nature NN 63372 2404 38 of of IN 63372 2404 39 light light NN 63372 2404 40 had have VBD 63372 2404 41 to to TO 63372 2404 42 be be VB 63372 2404 43 sought seek VBN 63372 2404 44 for for IN 63372 2404 45 in in IN 63372 2404 46 another another DT 63372 2404 47 direction direction NN 63372 2404 48 . . . 63372 2405 1 This this DT 63372 2405 2 was be VBD 63372 2405 3 soon soon RB 63372 2405 4 forthcoming forthcoming JJ 63372 2405 5 for for IN 63372 2405 6 in in IN 63372 2405 7 1864 1864 CD 63372 2405 8 a a DT 63372 2405 9 new new JJ 63372 2405 10 theory theory NN 63372 2405 11 was be VBD 63372 2405 12 proposed propose VBN 63372 2405 13 by by IN 63372 2405 14 James James NNP 63372 2405 15 Clerk Clerk NNP 63372 2405 16 Maxwell Maxwell NNP 63372 2405 17 which which WDT 63372 2405 18 seemed seem VBD 63372 2405 19 to to TO 63372 2405 20 solve solve VB 63372 2405 21 all all DT 63372 2405 22 of of IN 63372 2405 23 the the DT 63372 2405 24 difficulties difficulty NNS 63372 2405 25 . . . 63372 2406 1 Maxwell Maxwell NNP 63372 2406 2 had have VBD 63372 2406 3 been be VBN 63372 2406 4 working work VBG 63372 2406 5 with with IN 63372 2406 6 the the DT 63372 2406 7 facts fact NNS 63372 2406 8 derived derive VBN 63372 2406 9 from from IN 63372 2406 10 a a DT 63372 2406 11 study study NN 63372 2406 12 of of IN 63372 2406 13 electrical electrical JJ 63372 2406 14 and and CC 63372 2406 15 magnetic magnetic JJ 63372 2406 16 phenomena phenomenon NNS 63372 2406 17 and and CC 63372 2406 18 had have VBD 63372 2406 19 shown show VBN 63372 2406 20 that that IN 63372 2406 21 electromagnetic electromagnetic JJ 63372 2406 22 disturbances disturbance NNS 63372 2406 23 were be VBD 63372 2406 24 propagated propagate VBN 63372 2406 25 through through IN 63372 2406 26 the the DT 63372 2406 27 ether ether NN 63372 2406 28 at at IN 63372 2406 29 a a DT 63372 2406 30 velocity velocity NN 63372 2406 31 identical identical JJ 63372 2406 32 with with IN 63372 2406 33 that that DT 63372 2406 34 of of IN 63372 2406 35 light light NN 63372 2406 36 . . . 63372 2407 1 This this DT 63372 2407 2 , , , 63372 2407 3 of of IN 63372 2407 4 course course NN 63372 2407 5 , , , 63372 2407 6 might may MD 63372 2407 7 have have VB 63372 2407 8 been be VBN 63372 2407 9 merely merely RB 63372 2407 10 a a DT 63372 2407 11 strange strange JJ 63372 2407 12 coincidence coincidence NN 63372 2407 13 , , , 63372 2407 14 but but CC 63372 2407 15 Maxwell Maxwell NNP 63372 2407 16 went go VBD 63372 2407 17 further far RBR 63372 2407 18 and and CC 63372 2407 19 demonstrated demonstrate VBD 63372 2407 20 the the DT 63372 2407 21 interesting interesting JJ 63372 2407 22 fact fact NN 63372 2407 23 that that IN 63372 2407 24 an an DT 63372 2407 25 oscillating oscillate VBG 63372 2407 26 electric electric JJ 63372 2407 27 charge charge NN 63372 2407 28 should should MD 63372 2407 29 give give VB 63372 2407 30 rise rise NN 63372 2407 31 to to IN 63372 2407 32 a a DT 63372 2407 33 wave wave NN 63372 2407 34 that that WDT 63372 2407 35 would would MD 63372 2407 36 behave behave VB 63372 2407 37 in in IN 63372 2407 38 a a DT 63372 2407 39 manner manner NN 63372 2407 40 identical identical JJ 63372 2407 41 with with IN 63372 2407 42 all all DT 63372 2407 43 of of IN 63372 2407 44 the the DT 63372 2407 45 known know VBN 63372 2407 46 properties property NNS 63372 2407 47 of of IN 63372 2407 48 a a DT 63372 2407 49 light light JJ 63372 2407 50 wave wave NN 63372 2407 51 . . . 63372 2408 1 One one CD 63372 2408 2 particularly particularly RB 63372 2408 3 impressive impressive JJ 63372 2408 4 assertion assertion NN 63372 2408 5 was be VBD 63372 2408 6 that that IN 63372 2408 7 these these DT 63372 2408 8 waves wave NNS 63372 2408 9 , , , 63372 2408 10 consisting consist VBG 63372 2408 11 of of IN 63372 2408 12 an an DT 63372 2408 13 alternating alternate VBG 63372 2408 14 electric electric JJ 63372 2408 15 field field NN 63372 2408 16 accompanied accompany VBN 63372 2408 17 by by IN 63372 2408 18 an an DT 63372 2408 19 alternating alternate VBG 63372 2408 20 magnetic magnetic JJ 63372 2408 21 field field NN 63372 2408 22 at at IN 63372 2408 23 right right JJ 63372 2408 24 angles angle NNS 63372 2408 25 to to IN 63372 2408 26 it -PRON- PRP 63372 2408 27 , , , 63372 2408 28 and and CC 63372 2408 29 hence hence RB 63372 2408 30 called call VBN 63372 2408 31 electromagnetic electromagnetic JJ 63372 2408 32 waves wave NNS 63372 2408 33 , , , 63372 2408 34 would would MD 63372 2408 35 advance advance VB 63372 2408 36 in in IN 63372 2408 37 a a DT 63372 2408 38 direction direction NN 63372 2408 39 perpendicular perpendicular JJ 63372 2408 40 to to IN 63372 2408 41 the the DT 63372 2408 42 alternating alternate VBG 63372 2408 43 fields field NNS 63372 2408 44 . . . 63372 2409 1 This this DT 63372 2409 2 satisfied satisfy VBD 63372 2409 3 the the DT 63372 2409 4 first first JJ 63372 2409 5 essential essential JJ 63372 2409 6 property property NN 63372 2409 7 of of IN 63372 2409 8 light light JJ 63372 2409 9 rays ray NNS 63372 2409 10 , , , 63372 2409 11 i.e. i.e. FW 63372 2409 12 , , , 63372 2409 13 that that IN 63372 2409 14 they -PRON- PRP 63372 2409 15 must must MD 63372 2409 16 be be VB 63372 2409 17 transverse transverse JJ 63372 2409 18 waves wave NNS 63372 2409 19 , , , 63372 2409 20 and and CC 63372 2409 21 the the DT 63372 2409 22 ease ease NN 63372 2409 23 with with IN 63372 2409 24 which which WDT 63372 2409 25 it -PRON- PRP 63372 2409 26 explained explain VBD 63372 2409 27 all all DT 63372 2409 28 of of IN 63372 2409 29 the the DT 63372 2409 30 fundamental fundamental JJ 63372 2409 31 phenomena phenomenon NNS 63372 2409 32 of of IN 63372 2409 33 optics optic NNS 63372 2409 34 and and CC 63372 2409 35 predicted predict VBD 63372 2409 36 a a DT 63372 2409 37 most most RBS 63372 2409 38 striking striking JJ 63372 2409 39 interrelation interrelation NN 63372 2409 40 between between IN 63372 2409 41 the the DT 63372 2409 42 electrical electrical JJ 63372 2409 43 and and CC 63372 2409 44 optical optical JJ 63372 2409 45 properties property NNS 63372 2409 46 of of IN 63372 2409 47 material material NN 63372 2409 48 bodies body NNS 63372 2409 49 , , , 63372 2409 50 gave give VBD 63372 2409 51 it -PRON- PRP 63372 2409 52 at at IN 63372 2409 53 once once RB 63372 2409 54 a a DT 63372 2409 55 prominent prominent JJ 63372 2409 56 place place NN 63372 2409 57 among among IN 63372 2409 58 the the DT 63372 2409 59 various various JJ 63372 2409 60 theories theory NNS 63372 2409 61 . . . 63372 2410 1 The the DT 63372 2410 2 electromagnetic electromagnetic JJ 63372 2410 3 theory theory NN 63372 2410 4 , , , 63372 2410 5 however however RB 63372 2410 6 , , , 63372 2410 7 had have VBD 63372 2410 8 to to TO 63372 2410 9 wait wait VB 63372 2410 10 until until IN 63372 2410 11 1888 1888 CD 63372 2410 12 for for IN 63372 2410 13 verification verification NN 63372 2410 14 when when WRB 63372 2410 15 Heinrich Heinrich NNP 63372 2410 16 Hertz Hertz NNP 63372 2410 17 , , , 63372 2410 18 in in IN 63372 2410 19 a a DT 63372 2410 20 series series NN 63372 2410 21 of of IN 63372 2410 22 brilliant brilliant JJ 63372 2410 23 experiments experiment NNS 63372 2410 24 , , , 63372 2410 25 succeeded succeed VBN 63372 2410 26 in in IN 63372 2410 27 producing produce VBG 63372 2410 28 electromagnetic electromagnetic JJ 63372 2410 29 waves wave NNS 63372 2410 30 in in IN 63372 2410 31 the the DT 63372 2410 32 laboratory laboratory NN 63372 2410 33 and and CC 63372 2410 34 in in IN 63372 2410 35 showing show VBG 63372 2410 36 that that IN 63372 2410 37 they -PRON- PRP 63372 2410 38 possessed possess VBD 63372 2410 39 all all DT 63372 2410 40 of of IN 63372 2410 41 the the DT 63372 2410 42 properties property NNS 63372 2410 43 predicted predict VBN 63372 2410 44 by by IN 63372 2410 45 Maxwell Maxwell NNP 63372 2410 46 . . . 63372 2411 1 These these DT 63372 2411 2 waves wave NNS 63372 2411 3 moved move VBD 63372 2411 4 with with IN 63372 2411 5 the the DT 63372 2411 6 velocity velocity NN 63372 2411 7 of of IN 63372 2411 8 light light NN 63372 2411 9 : : : 63372 2411 10 they -PRON- PRP 63372 2411 11 could could MD 63372 2411 12 be be VB 63372 2411 13 reflected reflect VBN 63372 2411 14 , , , 63372 2411 15 refracted refract VBN 63372 2411 16 , , , 63372 2411 17 and and CC 63372 2411 18 polarized polarize VBD 63372 2411 19 : : : 63372 2411 20 they -PRON- PRP 63372 2411 21 exhibited exhibit VBD 63372 2411 22 the the DT 63372 2411 23 phenomenon phenomenon NN 63372 2411 24 of of IN 63372 2411 25 interference interference NN 63372 2411 26 and and CC 63372 2411 27 , , , 63372 2411 28 in in IN 63372 2411 29 short short JJ 63372 2411 30 , , , 63372 2411 31 could could MD 63372 2411 32 not not RB 63372 2411 33 be be VB 63372 2411 34 distinguished distinguish VBN 63372 2411 35 from from IN 63372 2411 36 light light JJ 63372 2411 37 waves wave NNS 63372 2411 38 except except IN 63372 2411 39 for for IN 63372 2411 40 their -PRON- PRP$ 63372 2411 41 difference difference NN 63372 2411 42 in in IN 63372 2411 43 wave wave NN 63372 2411 44 length length NN 63372 2411 45 . . . 63372 2412 1 THE the DT 63372 2412 2 MICHELSON MICHELSON NNP 63372 2412 3 - - HYPH 63372 2412 4 MORLEY MORLEY NNP 63372 2412 5 EXPERIMENT EXPERIMENT NNP 63372 2412 6 With with IN 63372 2412 7 the the DT 63372 2412 8 final final JJ 63372 2412 9 establishment establishment NN 63372 2412 10 of of IN 63372 2412 11 the the DT 63372 2412 12 electromagnetic electromagnetic JJ 63372 2412 13 theory theory NN 63372 2412 14 of of IN 63372 2412 15 light light NN 63372 2412 16 as as IN 63372 2412 17 a a DT 63372 2412 18 fact fact NN 63372 2412 19 of of IN 63372 2412 20 physics physics NN 63372 2412 21 , , , 63372 2412 22 we -PRON- PRP 63372 2412 23 have have VBP 63372 2412 24 at at IN 63372 2412 25 last last RB 63372 2412 26 endowed endow VBN 63372 2412 27 the the DT 63372 2412 28 ether ether NN 63372 2412 29 with with IN 63372 2412 30 an an DT 63372 2412 31 actual actual JJ 63372 2412 32 substantiality substantiality NN 63372 2412 33 . . . 63372 2413 1 The the DT 63372 2413 2 " " `` 63372 2413 3 empty empty JJ 63372 2413 4 void void NN 63372 2413 5 " " '' 63372 2413 6 is be VBZ 63372 2413 7 no no DT 63372 2413 8 longer long RBR 63372 2413 9 empty empty JJ 63372 2413 10 , , , 63372 2413 11 but but CC 63372 2413 12 a a DT 63372 2413 13 great great JJ 63372 2413 14 ocean ocean NN 63372 2413 15 of of IN 63372 2413 16 ether ether NN 63372 2413 17 through through IN 63372 2413 18 which which WDT 63372 2413 19 the the DT 63372 2413 20 planets planet NNS 63372 2413 21 and and CC 63372 2413 22 the the DT 63372 2413 23 suns sun NNS 63372 2413 24 turn turn VBP 63372 2413 25 without without IN 63372 2413 26 ever ever RB 63372 2413 27 being be VBG 63372 2413 28 aware aware JJ 63372 2413 29 that that IN 63372 2413 30 it -PRON- PRP 63372 2413 31 is be VBZ 63372 2413 32 there there RB 63372 2413 33 . . . 63372 2414 1 In in IN 63372 2414 2 1881 1881 CD 63372 2414 3 A. a. NN 63372 2415 1 A. A. NNP 63372 2415 2 Michelson Michelson NNP 63372 2415 3 undertook undertake VBD 63372 2415 4 an an DT 63372 2415 5 experiment experiment NN 63372 2415 6 , , , 63372 2415 7 originally originally RB 63372 2415 8 suggested suggest VBN 63372 2415 9 by by IN 63372 2415 10 Maxwell Maxwell NNP 63372 2415 11 , , , 63372 2415 12 to to TO 63372 2415 13 determine determine VB 63372 2415 14 the the DT 63372 2415 15 relative relative JJ 63372 2415 16 motion motion NN 63372 2415 17 of of IN 63372 2415 18 our -PRON- PRP$ 63372 2415 19 earth earth NN 63372 2415 20 to to IN 63372 2415 21 the the DT 63372 2415 22 ether ether NN 63372 2415 23 ocean ocean NN 63372 2415 24 and and CC 63372 2415 25 six six CD 63372 2415 26 years year NNS 63372 2415 27 later later RBR 63372 2415 28 he -PRON- PRP 63372 2415 29 repeated repeat VBD 63372 2415 30 it -PRON- PRP 63372 2415 31 with with IN 63372 2415 32 the the DT 63372 2415 33 assistance assistance NN 63372 2415 34 of of IN 63372 2415 35 E. E. NNP 63372 2415 36 W. W. NNP 63372 2415 37 Morley Morley NNP 63372 2415 38 . . . 63372 2416 1 The the DT 63372 2416 2 experiment experiment NN 63372 2416 3 is be VBZ 63372 2416 4 now now RB 63372 2416 5 known know VBN 63372 2416 6 as as IN 63372 2416 7 the the DT 63372 2416 8 Michelson Michelson NNP 63372 2416 9 - - HYPH 63372 2416 10 Morley Morley NNP 63372 2416 11 experiment experiment NN 63372 2416 12 and and CC 63372 2416 13 since since IN 63372 2416 14 it -PRON- PRP 63372 2416 15 is be VBZ 63372 2416 16 the the DT 63372 2416 17 great great JJ 63372 2416 18 physical physical JJ 63372 2416 19 fact fact NN 63372 2416 20 upon upon IN 63372 2416 21 which which WDT 63372 2416 22 the the DT 63372 2416 23 theory theory NN 63372 2416 24 of of IN 63372 2416 25 relativity relativity NN 63372 2416 26 rests rest NNS 63372 2416 27 , , , 63372 2416 28 it -PRON- PRP 63372 2416 29 will will MD 63372 2416 30 be be VB 63372 2416 31 well well JJ 63372 2416 32 for for IN 63372 2416 33 us -PRON- PRP 63372 2416 34 to to TO 63372 2416 35 examine examine VB 63372 2416 36 it -PRON- PRP 63372 2416 37 in in IN 63372 2416 38 detail detail NN 63372 2416 39 . . . 63372 2417 1 Since since IN 63372 2417 2 we -PRON- PRP 63372 2417 3 can can MD 63372 2417 4 scarcely scarcely RB 63372 2417 5 think think VB 63372 2417 6 that that IN 63372 2417 7 our -PRON- PRP$ 63372 2417 8 earth earth NN 63372 2417 9 is be VBZ 63372 2417 10 privileged privileged JJ 63372 2417 11 in in IN 63372 2417 12 the the DT 63372 2417 13 universe universe NN 63372 2417 14 and and CC 63372 2417 15 that that IN 63372 2417 16 it -PRON- PRP 63372 2417 17 is be VBZ 63372 2417 18 at at IN 63372 2417 19 rest rest NN 63372 2417 20 with with IN 63372 2417 21 respect respect NN 63372 2417 22 to to IN 63372 2417 23 this this DT 63372 2417 24 great great JJ 63372 2417 25 ether ether NN 63372 2417 26 ocean ocean NN 63372 2417 27 that that WDT 63372 2417 28 fills fill VBZ 63372 2417 29 space space NN 63372 2417 30 , , , 63372 2417 31 we -PRON- PRP 63372 2417 32 propose propose VBP 63372 2417 33 to to TO 63372 2417 34 discover discover VB 63372 2417 35 how how WRB 63372 2417 36 fast fast RB 63372 2417 37 we -PRON- PRP 63372 2417 38 are be VBP 63372 2417 39 actually actually RB 63372 2417 40 moving move VBG 63372 2417 41 . . . 63372 2418 1 But but CC 63372 2418 2 the the DT 63372 2418 3 startling startling JJ 63372 2418 4 fact fact NN 63372 2418 5 is be VBZ 63372 2418 6 that that IN 63372 2418 7 the the DT 63372 2418 8 experiment experiment NN 63372 2418 9 devised devise VBD 63372 2418 10 for for IN 63372 2418 11 this this DT 63372 2418 12 purpose purpose NN 63372 2418 13 failed fail VBD 63372 2418 14 to to TO 63372 2418 15 detect detect VB 63372 2418 16 any any DT 63372 2418 17 motion motion NN 63372 2418 18 whatever whatever WDT 63372 2418 19 of of IN 63372 2418 20 the the DT 63372 2418 21 earth earth NN 63372 2418 22 relative relative JJ 63372 2418 23 to to IN 63372 2418 24 the the DT 63372 2418 25 ether ether NN 63372 2418 26 . . . 63372 2419 1 [ [ -LRB- 63372 2419 2 3 3 LS 63372 2419 3 ] ] -RRB- 63372 2419 4 The the DT 63372 2419 5 explanation explanation NN 63372 2419 6 of of IN 63372 2419 7 this this DT 63372 2419 8 very very RB 63372 2419 9 curious curious JJ 63372 2419 10 fact fact NN 63372 2419 11 was be VBD 63372 2419 12 given give VBN 63372 2419 13 by by IN 63372 2419 14 both both DT 63372 2419 15 H. H. NNP 63372 2419 16 A. A. NNP 63372 2419 17 Lorentz Lorentz NNP 63372 2419 18 and and CC 63372 2419 19 G. G. NNP 63372 2419 20 F. F. NNP 63372 2419 21 Fitzgerald Fitzgerald NNP 63372 2419 22 in in IN 63372 2419 23 what what WP 63372 2419 24 is be VBZ 63372 2419 25 now now RB 63372 2419 26 widely widely RB 63372 2419 27 known know VBN 63372 2419 28 under under IN 63372 2419 29 the the DT 63372 2419 30 name name NN 63372 2419 31 of of IN 63372 2419 32 the the DT 63372 2419 33 " " `` 63372 2419 34 contraction contraction NN 63372 2419 35 hypothesis hypothesis NN 63372 2419 36 . . . 63372 2419 37 " " '' 63372 2420 1 It -PRON- PRP 63372 2420 2 is be VBZ 63372 2420 3 nothing nothing NN 63372 2420 4 more more JJR 63372 2420 5 nor nor CC 63372 2420 6 less less JJR 63372 2420 7 than than IN 63372 2420 8 this this DT 63372 2420 9 : : : 63372 2420 10 Every every DT 63372 2420 11 solid solid JJ 63372 2420 12 body body NN 63372 2420 13 undergoes undergo VBZ 63372 2420 14 a a DT 63372 2420 15 slight slight JJ 63372 2420 16 change change NN 63372 2420 17 in in IN 63372 2420 18 dimensions dimension NNS 63372 2420 19 , , , 63372 2420 20 of of IN 63372 2420 21 the the DT 63372 2420 22 order order NN 63372 2420 23 of of IN 63372 2420 24 ( ( -LRB- 63372 2420 25 $ $ $ 63372 2420 26 v^2 v^2 CD 63372 2420 27 / / SYM 63372 2420 28 c^2 c^2 NNP 63372 2420 29 $ $ $ 63372 2420 30 ) ) -RRB- 63372 2420 31 , , , 63372 2420 32 when when WRB 63372 2420 33 it -PRON- PRP 63372 2420 34 moves move VBZ 63372 2420 35 with with IN 63372 2420 36 a a DT 63372 2420 37 velocity velocity NN 63372 2420 38 $ $ $ 63372 2420 39 v$ v$ NNP 63372 2420 40 through through IN 63372 2420 41 the the DT 63372 2420 42 ether ether NN 63372 2420 43 . . . 63372 2421 1 The the DT 63372 2421 2 reason reason NN 63372 2421 3 why why WRB 63372 2421 4 the the DT 63372 2421 5 experiment experiment NN 63372 2421 6 failed fail VBD 63372 2421 7 , , , 63372 2421 8 then then RB 63372 2421 9 , , , 63372 2421 10 was be VBD 63372 2421 11 not not RB 63372 2421 12 because because IN 63372 2421 13 the the DT 63372 2421 14 earth earth NN 63372 2421 15 was be VBD 63372 2421 16 not not RB 63372 2421 17 moving move VBG 63372 2421 18 through through IN 63372 2421 19 the the DT 63372 2421 20 ether ether NN 63372 2421 21 , , , 63372 2421 22 but but CC 63372 2421 23 because because IN 63372 2421 24 the the DT 63372 2421 25 instruments instrument NNS 63372 2421 26 with with IN 63372 2421 27 which which WDT 63372 2421 28 the the DT 63372 2421 29 experiment experiment NN 63372 2421 30 was be VBD 63372 2421 31 being be VBG 63372 2421 32 conducted conduct VBN 63372 2421 33 had have VBD 63372 2421 34 shrunk shrink VBN 63372 2421 35 just just RB 63372 2421 36 enough enough RB 63372 2421 37 to to IN 63372 2421 38 negative negative JJ 63372 2421 39 the the DT 63372 2421 40 effect effect NN 63372 2421 41 that that WDT 63372 2421 42 was be VBD 63372 2421 43 being be VBG 63372 2421 44 looked look VBN 63372 2421 45 for for IN 63372 2421 46 . . . 63372 2422 1 [ [ -LRB- 63372 2422 2 4 4 LS 63372 2422 3 ] ] -RRB- 63372 2422 4 THE the DT 63372 2422 5 LORENTZ LORENTZ NNP 63372 2422 6 TRANSFORMATION transformation NN 63372 2422 7 We -PRON- PRP 63372 2422 8 can can MD 63372 2422 9 not not RB 63372 2422 10 at at IN 63372 2422 11 this this DT 63372 2422 12 point point NN 63372 2422 13 forebear forebear NN 63372 2422 14 introducing introduce VBG 63372 2422 15 a a DT 63372 2422 16 little little JJ 63372 2422 17 mathematics mathematic NNS 63372 2422 18 to to TO 63372 2422 19 further further RB 63372 2422 20 emphasize emphasize VB 63372 2422 21 the the DT 63372 2422 22 theory theory NN 63372 2422 23 and and CC 63372 2422 24 the the DT 63372 2422 25 very very RB 63372 2422 26 logical logical JJ 63372 2422 27 nature nature NN 63372 2422 28 of of IN 63372 2422 29 this this DT 63372 2422 30 contraction contraction NN 63372 2422 31 hypothesis hypothesis NN 63372 2422 32 . . . 63372 2423 1 Let let VB 63372 2423 2 us -PRON- PRP 63372 2423 3 suppose suppose VB 63372 2423 4 that that IN 63372 2423 5 we -PRON- PRP 63372 2423 6 were be VBD 63372 2423 7 on on IN 63372 2423 8 a a DT 63372 2423 9 world world NN 63372 2423 10 that that WDT 63372 2423 11 was be VBD 63372 2423 12 absolutely absolutely RB 63372 2423 13 motionless motionless JJ 63372 2423 14 with with IN 63372 2423 15 respect respect NN 63372 2423 16 to to IN 63372 2423 17 the the DT 63372 2423 18 ether ether NN 63372 2423 19 and and CC 63372 2423 20 were be VBD 63372 2423 21 looking look VBG 63372 2423 22 at at IN 63372 2423 23 a a DT 63372 2423 24 ray ray NN 63372 2423 25 of of IN 63372 2423 26 light light NN 63372 2423 27 . . . 63372 2424 1 The the DT 63372 2424 2 magnetic magnetic JJ 63372 2424 3 and and CC 63372 2424 4 electric electric JJ 63372 2424 5 fields field NNS 63372 2424 6 which which WDT 63372 2424 7 form form VBP 63372 2424 8 the the DT 63372 2424 9 ray ray NN 63372 2424 10 can can MD 63372 2424 11 be be VB 63372 2424 12 described describe VBN 63372 2424 13 by by IN 63372 2424 14 means mean NNS 63372 2424 15 of of IN 63372 2424 16 four four CD 63372 2424 17 mathematical mathematical JJ 63372 2424 18 expressions expression NNS 63372 2424 19 which which WDT 63372 2424 20 have have VBP 63372 2424 21 come come VBN 63372 2424 22 to to TO 63372 2424 23 bear bear VB 63372 2424 24 the the DT 63372 2424 25 name name NN 63372 2424 26 of of IN 63372 2424 27 " " `` 63372 2424 28 Maxwell Maxwell NNP 63372 2424 29 's 's POS 63372 2424 30 field field NN 63372 2424 31 equations equation NNS 63372 2424 32 . . . 63372 2424 33 " " '' 63372 2425 1 Now now RB 63372 2425 2 suppose suppose VB 63372 2425 3 that that IN 63372 2425 4 we -PRON- PRP 63372 2425 5 ask ask VBP 63372 2425 6 ourselves -PRON- PRP 63372 2425 7 the the DT 63372 2425 8 question question NN 63372 2425 9 : : : 63372 2425 10 How how WRB 63372 2425 11 must must MD 63372 2425 12 these these DT 63372 2425 13 equations equation NNS 63372 2425 14 be be VB 63372 2425 15 changed change VBN 63372 2425 16 so so IN 63372 2425 17 that that IN 63372 2425 18 they -PRON- PRP 63372 2425 19 will will MD 63372 2425 20 apply apply VB 63372 2425 21 to to IN 63372 2425 22 a a DT 63372 2425 23 ray ray NN 63372 2425 24 of of IN 63372 2425 25 light light NN 63372 2425 26 which which WDT 63372 2425 27 is be VBZ 63372 2425 28 being be VBG 63372 2425 29 observed observe VBN 63372 2425 30 by by IN 63372 2425 31 people people NNS 63372 2425 32 on on IN 63372 2425 33 a a DT 63372 2425 34 world world NN 63372 2425 35 that that WDT 63372 2425 36 is be VBZ 63372 2425 37 moving move VBG 63372 2425 38 with with IN 63372 2425 39 a a DT 63372 2425 40 velocity velocity NN 63372 2425 41 v v NN 63372 2425 42 through through IN 63372 2425 43 the the DT 63372 2425 44 ether ether NN 63372 2425 45 ? ? . 63372 2426 1 The the DT 63372 2426 2 answer answer NN 63372 2426 3 is be VBZ 63372 2426 4 immediate immediate JJ 63372 2426 5 . . . 63372 2427 1 From from IN 63372 2427 2 the the DT 63372 2427 3 Michelson Michelson NNP 63372 2427 4 - - HYPH 63372 2427 5 Morley Morley NNP 63372 2427 6 experiment experiment NN 63372 2427 7 we -PRON- PRP 63372 2427 8 know know VBP 63372 2427 9 that that IN 63372 2427 10 we -PRON- PRP 63372 2427 11 can can MD 63372 2427 12 not not RB 63372 2427 13 tell tell VB 63372 2427 14 how how WRB 63372 2427 15 fast fast RB 63372 2427 16 or or CC 63372 2427 17 how how WRB 63372 2427 18 slowly slowly RB 63372 2427 19 we -PRON- PRP 63372 2427 20 are be VBP 63372 2427 21 moving move VBG 63372 2427 22 with with IN 63372 2427 23 respect respect NN 63372 2427 24 to to IN 63372 2427 25 the the DT 63372 2427 26 ether ether NN 63372 2427 27 . . . 63372 2428 1 This this DT 63372 2428 2 means mean VBZ 63372 2428 3 that that IN 63372 2428 4 no no RB 63372 2428 5 matter matter RB 63372 2428 6 what what WDT 63372 2428 7 world world NN 63372 2428 8 we -PRON- PRP 63372 2428 9 may may MD 63372 2428 10 be be VB 63372 2428 11 upon upon IN 63372 2428 12 , , , 63372 2428 13 the the DT 63372 2428 14 form form NN 63372 2428 15 of of IN 63372 2428 16 the the DT 63372 2428 17 Maxwell Maxwell NNP 63372 2428 18 field field NN 63372 2428 19 equations equation NNS 63372 2428 20 will will MD 63372 2428 21 always always RB 63372 2428 22 be be VB 63372 2428 23 the the DT 63372 2428 24 same same JJ 63372 2428 25 , , , 63372 2428 26 even even RB 63372 2428 27 though though IN 63372 2428 28 the the DT 63372 2428 29 second second JJ 63372 2428 30 set set NN 63372 2428 31 of of IN 63372 2428 32 axes axis NNS 63372 2428 33 ( ( -LRB- 63372 2428 34 or or CC 63372 2428 35 frame frame NN 63372 2428 36 of of IN 63372 2428 37 reference reference NN 63372 2428 38 ) ) -RRB- 63372 2428 39 may may MD 63372 2428 40 be be VB 63372 2428 41 moving move VBG 63372 2428 42 with with IN 63372 2428 43 high high JJ 63372 2428 44 velocity velocity NN 63372 2428 45 with with IN 63372 2428 46 respect respect NN 63372 2428 47 to to IN 63372 2428 48 the the DT 63372 2428 49 first first JJ 63372 2428 50 . . . 63372 2429 1 Starting start VBG 63372 2429 2 from from IN 63372 2429 3 this this DT 63372 2429 4 hypothesis hypothesis NN 63372 2429 5 ( ( -LRB- 63372 2429 6 called call VBN 63372 2429 7 in in IN 63372 2429 8 technical technical JJ 63372 2429 9 language language NN 63372 2429 10 the the DT 63372 2429 11 covariance covariance NN 63372 2429 12 of of IN 63372 2429 13 the the DT 63372 2429 14 equations equation NNS 63372 2429 15 with with IN 63372 2429 16 respect respect NN 63372 2429 17 to to IN 63372 2429 18 a a DT 63372 2429 19 transformation transformation NN 63372 2429 20 of of IN 63372 2429 21 coordinates coordinate NNS 63372 2429 22 ) ) -RRB- 63372 2429 23 , , , 63372 2429 24 Lorentz Lorentz NNP 63372 2429 25 found find VBD 63372 2429 26 that that IN 63372 2429 27 the the DT 63372 2429 28 transformation transformation NN 63372 2429 29 which which WDT 63372 2429 30 leaves leave VBZ 63372 2429 31 the the DT 63372 2429 32 field field NN 63372 2429 33 equations equation NNS 63372 2429 34 unchanged unchanged JJ 63372 2429 35 in in IN 63372 2429 36 form form NN 63372 2429 37 was be VBD 63372 2429 38 the the DT 63372 2429 39 following follow VBG 63372 2429 40 : : : 63372 2429 41 $ $ $ 63372 2429 42 $ $ $ 63372 2429 43 x x SYM 63372 2429 44 ' ' '' 63372 2429 45 = = SYM 63372 2429 46 k(x k(x NNP 63372 2429 47 - - HYPH 63372 2429 48 vt vt NNP 63372 2429 49 ) ) -RRB- 63372 2429 50 , , , 63372 2429 51 y y NNP 63372 2429 52 ' ' '' 63372 2429 53 = = SYM 63372 2429 54 y y NNP 63372 2429 55 , , , 63372 2429 56 z z NNP 63372 2429 57 ' ' '' 63372 2429 58 = = SYM 63372 2429 59 z z NN 63372 2429 60 , , , 63372 2429 61 t t NNP 63372 2429 62 ' ' '' 63372 2429 63 = = SYM 63372 2429 64 k(t k(t NNP 63372 2429 65 - - HYPH 63372 2429 66 vx vx NNP 63372 2429 67 / / SYM 63372 2429 68 c)$$ c)$$ NN 63372 2429 69 where where WRB 63372 2429 70 $ $ $ 63372 2429 71 k$ k$ NNP 63372 2429 72 is be VBZ 63372 2429 73 as as RB 63372 2429 74 on on IN 63372 2429 75 page page NN 63372 2429 76 92 92 CD 63372 2429 77 . . . 63372 2430 1 And and CC 63372 2430 2 what what WP 63372 2430 3 , , , 63372 2430 4 now now RB 63372 2430 5 , , , 63372 2430 6 can can MD 63372 2430 7 be be VB 63372 2430 8 deduced deduce VBN 63372 2430 9 from from IN 63372 2430 10 these these DT 63372 2430 11 very very RB 63372 2430 12 simple simple JJ 63372 2430 13 looking look VBG 63372 2430 14 equations equation NNS 63372 2430 15 ? ? . 63372 2431 1 In in IN 63372 2431 2 the the DT 63372 2431 3 first first JJ 63372 2431 4 place place NN 63372 2431 5 we -PRON- PRP 63372 2431 6 see see VBP 63372 2431 7 that that IN 63372 2431 8 the the DT 63372 2431 9 space space NN 63372 2431 10 of of IN 63372 2431 11 $ $ $ 63372 2431 12 x'$ x'$ NNP 63372 2431 13 , , , 63372 2431 14 $ $ $ 63372 2431 15 y'$ y'$ UH 63372 2431 16 , , , 63372 2431 17 $ $ $ 63372 2431 18 z'$ z'$ NNS 63372 2431 19 , , , 63372 2431 20 $ $ $ 63372 2431 21 t'$ t'$ NN 63372 2431 22 is be VBZ 63372 2431 23 not not RB 63372 2431 24 our -PRON- PRP$ 63372 2431 25 ordinary ordinary JJ 63372 2431 26 concept concept NN 63372 2431 27 of of IN 63372 2431 28 space space NN 63372 2431 29 at at RB 63372 2431 30 all all RB 63372 2431 31 , , , 63372 2431 32 but but CC 63372 2431 33 a a DT 63372 2431 34 space space NN 63372 2431 35 in in IN 63372 2431 36 which which WDT 63372 2431 37 time time NN 63372 2431 38 is be VBZ 63372 2431 39 all all DT 63372 2431 40 tangled tangle VBN 63372 2431 41 up up RP 63372 2431 42 with with IN 63372 2431 43 length length NN 63372 2431 44 . . . 63372 2432 1 To to TO 63372 2432 2 put put VB 63372 2432 3 it -PRON- PRP 63372 2432 4 more more RBR 63372 2432 5 concretely concretely RB 63372 2432 6 , , , 63372 2432 7 we -PRON- PRP 63372 2432 8 may may MD 63372 2432 9 deduce deduce VB 63372 2432 10 from from IN 63372 2432 11 them -PRON- PRP 63372 2432 12 the the DT 63372 2432 13 interesting interesting JJ 63372 2432 14 fact fact NN 63372 2432 15 that that IN 63372 2432 16 whenever whenever WRB 63372 2432 17 an an DT 63372 2432 18 aviator aviator NN 63372 2432 19 moves move VBZ 63372 2432 20 with with IN 63372 2432 21 respect respect NN 63372 2432 22 to to IN 63372 2432 23 our -PRON- PRP$ 63372 2432 24 earth earth NN 63372 2432 25 , , , 63372 2432 26 his -PRON- PRP$ 63372 2432 27 shape shape NN 63372 2432 28 changes change VBZ 63372 2432 29 , , , 63372 2432 30 and and CC 63372 2432 31 if if IN 63372 2432 32 he -PRON- PRP 63372 2432 33 were be VBD 63372 2432 34 to to TO 63372 2432 35 compare compare VB 63372 2432 36 his -PRON- PRP$ 63372 2432 37 watch watch NN 63372 2432 38 with with IN 63372 2432 39 one one CD 63372 2432 40 on on IN 63372 2432 41 the the DT 63372 2432 42 earth earth NN 63372 2432 43 , , , 63372 2432 44 he -PRON- PRP 63372 2432 45 would would MD 63372 2432 46 find find VB 63372 2432 47 that that IN 63372 2432 48 his -PRON- PRP$ 63372 2432 49 time time NN 63372 2432 50 had have VBD 63372 2432 51 changed change VBN 63372 2432 52 also also RB 63372 2432 53 . . . 63372 2433 1 A a DT 63372 2433 2 sphere sphere NN 63372 2433 3 would would MD 63372 2433 4 flatten flatten VB 63372 2433 5 into into IN 63372 2433 6 an an DT 63372 2433 7 ellipse ellipse NN 63372 2433 8 , , , 63372 2433 9 a a DT 63372 2433 10 meter meter NN 63372 2433 11 stick stick NN 63372 2433 12 would would MD 63372 2433 13 shorten shorten VB 63372 2433 14 up up RP 63372 2433 15 , , , 63372 2433 16 a a DT 63372 2433 17 watch watch NN 63372 2433 18 would would MD 63372 2433 19 slow slow VB 63372 2433 20 down down RP 63372 2433 21 and and CC 63372 2433 22 all all RB 63372 2433 23 because because IN 63372 2433 24 , , , 63372 2433 25 as as IN 63372 2433 26 H. H. NNP 63372 2433 27 Minkowski Minkowski NNP 63372 2433 28 has have VBZ 63372 2433 29 shown show VBN 63372 2433 30 us -PRON- PRP 63372 2433 31 from from IN 63372 2433 32 these these DT 63372 2433 33 very very JJ 63372 2433 34 equations equation NNS 63372 2433 35 , , , 63372 2433 36 we -PRON- PRP 63372 2433 37 are be VBP 63372 2433 38 really really RB 63372 2433 39 living live VBG 63372 2433 40 in in IN 63372 2433 41 a a DT 63372 2433 42 physical physical JJ 63372 2433 43 world world NN 63372 2433 44 quite quite RB 63372 2433 45 different different JJ 63372 2433 46 from from IN 63372 2433 47 the the DT 63372 2433 48 world world NN 63372 2433 49 of of IN 63372 2433 50 Euclid Euclid NNP 63372 2433 51 's 's POS 63372 2433 52 geometry geometry NN 63372 2433 53 in in IN 63372 2433 54 which which WDT 63372 2433 55 we -PRON- PRP 63372 2433 56 are be VBP 63372 2433 57 accustomed accustomed JJ 63372 2433 58 to to TO 63372 2433 59 think think VB 63372 2433 60 we -PRON- PRP 63372 2433 61 live live VBP 63372 2433 62 . . . 63372 2434 1 A a DT 63372 2434 2 variety variety NN 63372 2434 3 of of IN 63372 2434 4 objections objection NNS 63372 2434 5 has have VBZ 63372 2434 6 very very RB 63372 2434 7 naturally naturally RB 63372 2434 8 been be VBN 63372 2434 9 made make VBN 63372 2434 10 to to IN 63372 2434 11 this this DT 63372 2434 12 rather rather RB 63372 2434 13 radical radical JJ 63372 2434 14 hypothesis hypothesis NN 63372 2434 15 in in IN 63372 2434 16 an an DT 63372 2434 17 attempt attempt NN 63372 2434 18 to to TO 63372 2434 19 discredit discredit VB 63372 2434 20 the the DT 63372 2434 21 entire entire JJ 63372 2434 22 theory theory NN 63372 2434 23 , , , 63372 2434 24 but but CC 63372 2434 25 it -PRON- PRP 63372 2434 26 is be VBZ 63372 2434 27 easily easily RB 63372 2434 28 seen see VBN 63372 2434 29 that that IN 63372 2434 30 any any DT 63372 2434 31 result result NN 63372 2434 32 obtained obtain VBN 63372 2434 33 through through IN 63372 2434 34 the the DT 63372 2434 35 field field NN 63372 2434 36 equations equation NNS 63372 2434 37 must must MD 63372 2434 38 necessarily necessarily RB 63372 2434 39 be be VB 63372 2434 40 in in IN 63372 2434 41 conformity conformity NN 63372 2434 42 with with IN 63372 2434 43 the the DT 63372 2434 44 theory theory NN 63372 2434 45 of of IN 63372 2434 46 contraction contraction NN 63372 2434 47 , , , 63372 2434 48 since since IN 63372 2434 49 this this DT 63372 2434 50 theory theory NN 63372 2434 51 is be VBZ 63372 2434 52 only only RB 63372 2434 53 the the DT 63372 2434 54 physical physical JJ 63372 2434 55 interpretation interpretation NN 63372 2434 56 of of IN 63372 2434 57 that that DT 63372 2434 58 transformation transformation NN 63372 2434 59 which which WDT 63372 2434 60 leaves leave VBZ 63372 2434 61 the the DT 63372 2434 62 field field NN 63372 2434 63 equations equation NNS 63372 2434 64 unaltered unaltere VBD 63372 2434 65 . . . 63372 2435 1 Indeed indeed RB 63372 2435 2 , , , 63372 2435 3 it -PRON- PRP 63372 2435 4 is be VBZ 63372 2435 5 even even RB 63372 2435 6 possible possible JJ 63372 2435 7 to to TO 63372 2435 8 postulate postulate VB 63372 2435 9 the the DT 63372 2435 10 Lorentz Lorentz NNP 63372 2435 11 transformation transformation NN 63372 2435 12 together together RB 63372 2435 13 with with IN 63372 2435 14 the the DT 63372 2435 15 assumption assumption NN 63372 2435 16 that that IN 63372 2435 17 each each DT 63372 2435 18 element element NN 63372 2435 19 of of IN 63372 2435 20 charge charge NN 63372 2435 21 is be VBZ 63372 2435 22 a a DT 63372 2435 23 center center NN 63372 2435 24 of of IN 63372 2435 25 uniformly uniformly RB 63372 2435 26 diverging diverge VBG 63372 2435 27 tubes tube NNS 63372 2435 28 of of IN 63372 2435 29 strain strain NN 63372 2435 30 and and CC 63372 2435 31 derive derive VB 63372 2435 32 the the DT 63372 2435 33 Maxwell Maxwell NNP 63372 2435 34 field field NN 63372 2435 35 equations equation NNS 63372 2435 36 from from IN 63372 2435 37 this this DT 63372 2435 38 , , , 63372 2435 39 which which WDT 63372 2435 40 shows show VBZ 63372 2435 41 from from IN 63372 2435 42 another another DT 63372 2435 43 point point NN 63372 2435 44 of of IN 63372 2435 45 view view NN 63372 2435 46 the the DT 63372 2435 47 truly truly RB 63372 2435 48 fundamental fundamental JJ 63372 2435 49 nature nature NN 63372 2435 50 of of IN 63372 2435 51 the the DT 63372 2435 52 transformation transformation NN 63372 2435 53 . . . 63372 2436 1 THE the DT 63372 2436 2 FIRST first JJ 63372 2436 3 THEORY theory NN 63372 2436 4 OF of IN 63372 2436 5 RELATIVITY relativity NN 63372 2436 6 The the DT 63372 2436 7 whole whole JJ 63372 2436 8 question question NN 63372 2436 9 of of IN 63372 2436 10 the the DT 63372 2436 11 ether ether NN 63372 2436 12 had have VBD 63372 2436 13 arrived arrive VBN 63372 2436 14 at at IN 63372 2436 15 this this DT 63372 2436 16 very very RB 63372 2436 17 interesting interesting JJ 63372 2436 18 point point NN 63372 2436 19 when when WRB 63372 2436 20 Professor Professor NNP 63372 2436 21 Einstein Einstein NNP 63372 2436 22 in in IN 63372 2436 23 1905 1905 CD 63372 2436 24 stated state VBD 63372 2436 25 the the DT 63372 2436 26 theory theory NN 63372 2436 27 of of IN 63372 2436 28 relativity relativity NN 63372 2436 29 . . . 63372 2437 1 He -PRON- PRP 63372 2437 2 had have VBD 63372 2437 3 noticed notice VBN 63372 2437 4 that that IN 63372 2437 5 the the DT 63372 2437 6 equations equation NNS 63372 2437 7 of of IN 63372 2437 8 dynamics dynamic NNS 63372 2437 9 as as IN 63372 2437 10 formulated formulate VBN 63372 2437 11 by by IN 63372 2437 12 Newton Newton NNP 63372 2437 13 did do VBD 63372 2437 14 not not RB 63372 2437 15 admit admit VB 63372 2437 16 the the DT 63372 2437 17 Lorentz Lorentz NNP 63372 2437 18 transformation transformation NN 63372 2437 19 , , , 63372 2437 20 but but CC 63372 2437 21 only only RB 63372 2437 22 the the DT 63372 2437 23 simple simple JJ 63372 2437 24 Galilean galilean JJ 63372 2437 25 transformation transformation NN 63372 2437 26 : : : 63372 2437 27 $ $ $ 63372 2437 28 $ $ $ 63372 2437 29 x x SYM 63372 2437 30 ' ' '' 63372 2437 31 = = SYM 63372 2437 32 x x NNP 63372 2437 33 - - HYPH 63372 2437 34 vt vt NNP 63372 2437 35 , , , 63372 2437 36 y y NNP 63372 2437 37 ' ' '' 63372 2437 38 = = SYM 63372 2437 39 y y NNP 63372 2437 40 , , , 63372 2437 41 z z NNP 63372 2437 42 ' ' '' 63372 2437 43 = = SYM 63372 2437 44 z z NN 63372 2437 45 , , , 63372 2437 46 t t NNP 63372 2437 47 ' ' '' 63372 2437 48 = = NNS 63372 2437 49 t\,.$$ t\,.$$ NN 63372 2437 50 Here here RB 63372 2437 51 , , , 63372 2437 52 indeed indeed RB 63372 2437 53 , , , 63372 2437 54 was be VBD 63372 2437 55 a a DT 63372 2437 56 curious curious JJ 63372 2437 57 situation situation NN 63372 2437 58 . . . 63372 2438 1 Two two CD 63372 2438 2 physical physical JJ 63372 2438 3 principles principle NNS 63372 2438 4 , , , 63372 2438 5 that that DT 63372 2438 6 of of IN 63372 2438 7 dynamics dynamic NNS 63372 2438 8 and and CC 63372 2438 9 that that DT 63372 2438 10 of of IN 63372 2438 11 electromagnetism electromagnetism NN 63372 2438 12 , , , 63372 2438 13 were be VBD 63372 2438 14 coexistent coexistent NN 63372 2438 15 and and CC 63372 2438 16 yet yet RB 63372 2438 17 each each DT 63372 2438 18 one one NN 63372 2438 19 admitted admit VBD 63372 2438 20 a a DT 63372 2438 21 different different JJ 63372 2438 22 transformation transformation NN 63372 2438 23 when when WRB 63372 2438 24 the the DT 63372 2438 25 system system NN 63372 2438 26 of of IN 63372 2438 27 reference reference NN 63372 2438 28 was be VBD 63372 2438 29 transferred transfer VBN 63372 2438 30 to to IN 63372 2438 31 axes axis NNS 63372 2438 32 moving move VBG 63372 2438 33 with with IN 63372 2438 34 constant constant JJ 63372 2438 35 velocity velocity NN 63372 2438 36 with with IN 63372 2438 37 respect respect NN 63372 2438 38 to to IN 63372 2438 39 the the DT 63372 2438 40 ether ether NN 63372 2438 41 . . . 63372 2439 1 Now now RB 63372 2439 2 the the DT 63372 2439 3 electromagnetic electromagnetic JJ 63372 2439 4 equations equation NNS 63372 2439 5 and and CC 63372 2439 6 their -PRON- PRP$ 63372 2439 7 transformation transformation NN 63372 2439 8 had have VBD 63372 2439 9 been be VBN 63372 2439 10 shown show VBN 63372 2439 11 to to TO 63372 2439 12 be be VB 63372 2439 13 in in IN 63372 2439 14 accord accord NN 63372 2439 15 with with IN 63372 2439 16 experimental experimental JJ 63372 2439 17 fact fact NN 63372 2439 18 , , , 63372 2439 19 whereas whereas IN 63372 2439 20 it -PRON- PRP 63372 2439 21 had have VBD 63372 2439 22 long long RB 63372 2439 23 been be VBN 63372 2439 24 felt feel VBN 63372 2439 25 that that IN 63372 2439 26 Newton Newton NNP 63372 2439 27 's 's POS 63372 2439 28 equations equation NNS 63372 2439 29 were be VBD 63372 2439 30 only only RB 63372 2439 31 a a DT 63372 2439 32 first first JJ 63372 2439 33 approximation approximation NN 63372 2439 34 to to IN 63372 2439 35 the the DT 63372 2439 36 truth truth NN 63372 2439 37 . . . 63372 2440 1 For for IN 63372 2440 2 example example NN 63372 2440 3 , , , 63372 2440 4 the the DT 63372 2440 5 elliptic elliptic JJ 63372 2440 6 orbit orbit NN 63372 2440 7 of of IN 63372 2440 8 a a DT 63372 2440 9 planet planet NN 63372 2440 10 had have VBD 63372 2440 11 been be VBN 63372 2440 12 observed observe VBN 63372 2440 13 by by IN 63372 2440 14 Leverrier Leverrier NNP 63372 2440 15 to to TO 63372 2440 16 exhibit exhibit VB 63372 2440 17 a a DT 63372 2440 18 disquieting disquieting JJ 63372 2440 19 tendency tendency NN 63372 2440 20 to to TO 63372 2440 21 rotate rotate VB 63372 2440 22 in in IN 63372 2440 23 the the DT 63372 2440 24 direction direction NN 63372 2440 25 of of IN 63372 2440 26 motion motion NN 63372 2440 27 . . . 63372 2441 1 This this DT 63372 2441 2 precession precession NN 63372 2441 3 , , , 63372 2441 4 which which WDT 63372 2441 5 in in IN 63372 2441 6 the the DT 63372 2441 7 case case NN 63372 2441 8 of of IN 63372 2441 9 Mercury Mercury NNP 63372 2441 10 was be VBD 63372 2441 11 as as RB 63372 2441 12 large large JJ 63372 2441 13 as as IN 63372 2441 14 43 43 CD 63372 2441 15 ' ' NNS 63372 2441 16 ' ' '' 63372 2441 17 per per IN 63372 2441 18 century century NN 63372 2441 19 , , , 63372 2441 20 could could MD 63372 2441 21 not not RB 63372 2441 22 be be VB 63372 2441 23 accounted account VBN 63372 2441 24 for for IN 63372 2441 25 in in IN 63372 2441 26 any any DT 63372 2441 27 way way NN 63372 2441 28 by by IN 63372 2441 29 the the DT 63372 2441 30 ordinary ordinary JJ 63372 2441 31 Newtonian newtonian JJ 63372 2441 32 laws law NNS 63372 2441 33 and and CC 63372 2441 34 was be VBD 63372 2441 35 , , , 63372 2441 36 consequently consequently RB 63372 2441 37 , , , 63372 2441 38 a a DT 63372 2441 39 very very RB 63372 2441 40 celebrated celebrated JJ 63372 2441 41 case case NN 63372 2441 42 of of IN 63372 2441 43 discordance discordance NN 63372 2441 44 in in IN 63372 2441 45 gravitational gravitational JJ 63372 2441 46 astronomy astronomy NN 63372 2441 47 . . . 63372 2442 1 With with IN 63372 2442 2 this this DT 63372 2442 3 example example NN 63372 2442 4 clearly clearly RB 63372 2442 5 before before IN 63372 2442 6 him -PRON- PRP 63372 2442 7 , , , 63372 2442 8 Einstein Einstein NNP 63372 2442 9 took take VBD 63372 2442 10 the the DT 63372 2442 11 great great JJ 63372 2442 12 step step NN 63372 2442 13 and and CC 63372 2442 14 said say VBD 63372 2442 15 that that IN 63372 2442 16 the the DT 63372 2442 17 laws law NNS 63372 2442 18 of of IN 63372 2442 19 dynamics dynamic NNS 63372 2442 20 and and CC 63372 2442 21 all all DT 63372 2442 22 other other JJ 63372 2442 23 physical physical JJ 63372 2442 24 laws law NNS 63372 2442 25 had have VBD 63372 2442 26 to to TO 63372 2442 27 be be VB 63372 2442 28 remade remade NN 63372 2442 29 so so IN 63372 2442 30 that that IN 63372 2442 31 they -PRON- PRP 63372 2442 32 , , , 63372 2442 33 also also RB 63372 2442 34 , , , 63372 2442 35 admit admit VB 63372 2442 36 the the DT 63372 2442 37 Lorentz Lorentz NNP 63372 2442 38 transformation transformation NN 63372 2442 39 . . . 63372 2443 1 That that DT 63372 2443 2 is be VBZ 63372 2443 3 to to TO 63372 2443 4 say say VB 63372 2443 5 , , , 63372 2443 6 The the DT 63372 2443 7 laws law NNS 63372 2443 8 of of IN 63372 2443 9 physical physical JJ 63372 2443 10 phenomena phenomenon NNS 63372 2443 11 , , , 63372 2443 12 or or CC 63372 2443 13 rather rather RB 63372 2443 14 the the DT 63372 2443 15 mathematical mathematical JJ 63372 2443 16 expressions expression NNS 63372 2443 17 for for IN 63372 2443 18 these these DT 63372 2443 19 laws law NNS 63372 2443 20 , , , 63372 2443 21 are be VBP 63372 2443 22 covariant covariant JJ 63372 2443 23 ( ( -LRB- 63372 2443 24 unchanged unchanged JJ 63372 2443 25 in in IN 63372 2443 26 form form NN 63372 2443 27 ) ) -RRB- 63372 2443 28 when when WRB 63372 2443 29 we -PRON- PRP 63372 2443 30 apply apply VBP 63372 2443 31 the the DT 63372 2443 32 Lorentz Lorentz NNP 63372 2443 33 transformation transformation NN 63372 2443 34 to to IN 63372 2443 35 them -PRON- PRP 63372 2443 36 . . . 63372 2444 1 The the DT 63372 2444 2 deductions deduction NNS 63372 2444 3 from from IN 63372 2444 4 the the DT 63372 2444 5 Michelson Michelson NNP 63372 2444 6 - - HYPH 63372 2444 7 Morley Morley NNP 63372 2444 8 experiment experiment NN 63372 2444 9 now now RB 63372 2444 10 seem seem VBP 63372 2444 11 to to TO 63372 2444 12 have have VB 63372 2444 13 reached reach VBN 63372 2444 14 their -PRON- PRP$ 63372 2444 15 ultimate ultimate JJ 63372 2444 16 conclusion conclusion NN 63372 2444 17 . . . 63372 2445 1 One one CD 63372 2445 2 discordant discordant JJ 63372 2445 3 fact fact NN 63372 2445 4 in in IN 63372 2445 5 this this DT 63372 2445 6 new new JJ 63372 2445 7 theory theory NN 63372 2445 8 remained remain VBD 63372 2445 9 , , , 63372 2445 10 however however RB 63372 2445 11 . . . 63372 2446 1 That that DT 63372 2446 2 same same JJ 63372 2446 3 precession precession NN 63372 2446 4 of of IN 63372 2446 5 the the DT 63372 2446 6 perihelion perihelion NN 63372 2446 7 of of IN 63372 2446 8 Mercury Mercury NNP 63372 2446 9 which which WDT 63372 2446 10 had have VBD 63372 2446 11 first first RB 63372 2446 12 lead lead NN 63372 2446 13 Einstein Einstein NNP 63372 2446 14 to to IN 63372 2446 15 his -PRON- PRP$ 63372 2446 16 theory theory NN 63372 2446 17 remained remain VBD 63372 2446 18 unsettled unsettled JJ 63372 2446 19 . . . 63372 2447 1 When when WRB 63372 2447 2 the the DT 63372 2447 3 new new JJ 63372 2447 4 approximations approximation NNS 63372 2447 5 were be VBD 63372 2447 6 applied apply VBN 63372 2447 7 to to IN 63372 2447 8 the the DT 63372 2447 9 formula formula NN 63372 2447 10 of of IN 63372 2447 11 orbital orbital JJ 63372 2447 12 motion motion NN 63372 2447 13 , , , 63372 2447 14 a a DT 63372 2447 15 precession precession NN 63372 2447 16 was be VBD 63372 2447 17 , , , 63372 2447 18 indeed indeed RB 63372 2447 19 , , , 63372 2447 20 obtained obtain VBN 63372 2447 21 , , , 63372 2447 22 but but CC 63372 2447 23 the the DT 63372 2447 24 computed compute VBN 63372 2447 25 value value NN 63372 2447 26 fell fall VBD 63372 2447 27 considerably considerably RB 63372 2447 28 below below IN 63372 2447 29 that that DT 63372 2447 30 of of IN 63372 2447 31 the the DT 63372 2447 32 observed observed JJ 63372 2447 33 43 43 CD 63372 2447 34 ' ' '' 63372 2447 35 ' ' '' 63372 2447 36 per per IN 63372 2447 37 century century NN 63372 2447 38 . . . 63372 2448 1 THE the DT 63372 2448 2 INCLUSION inclusion NN 63372 2448 3 OF of IN 63372 2448 4 GRAVITATION GRAVITATION NNP 63372 2448 5 With with IN 63372 2448 6 the the DT 63372 2448 7 idea idea NN 63372 2448 8 of of IN 63372 2448 9 investigating investigate VBG 63372 2448 10 the the DT 63372 2448 11 problem problem NN 63372 2448 12 from from IN 63372 2448 13 the the DT 63372 2448 14 very very JJ 63372 2448 15 bottom bottom NN 63372 2448 16 , , , 63372 2448 17 Einstein Einstein NNP 63372 2448 18 now now RB 63372 2448 19 undertook undertake VBD 63372 2448 20 a a DT 63372 2448 21 broader broad JJR 63372 2448 22 and and CC 63372 2448 23 more more RBR 63372 2448 24 daring daring JJ 63372 2448 25 point point NN 63372 2448 26 of of IN 63372 2448 27 view view NN 63372 2448 28 . . . 63372 2449 1 In in IN 63372 2449 2 the the DT 63372 2449 3 first first JJ 63372 2449 4 place place NN 63372 2449 5 he -PRON- PRP 63372 2449 6 said say VBD 63372 2449 7 that that IN 63372 2449 8 there there EX 63372 2449 9 is be VBZ 63372 2449 10 no no DT 63372 2449 11 apparent apparent JJ 63372 2449 12 reason reason NN 63372 2449 13 in in IN 63372 2449 14 the the DT 63372 2449 15 great great JJ 63372 2449 16 scheme scheme NN 63372 2449 17 of of IN 63372 2449 18 world world NN 63372 2449 19 events event NNS 63372 2449 20 why why WRB 63372 2449 21 any any DT 63372 2449 22 one one CD 63372 2449 23 special special JJ 63372 2449 24 system system NN 63372 2449 25 of of IN 63372 2449 26 coordinates coordinate NNS 63372 2449 27 should should MD 63372 2449 28 be be VB 63372 2449 29 fundamental fundamental JJ 63372 2449 30 to to IN 63372 2449 31 the the DT 63372 2449 32 description description NN 63372 2449 33 of of IN 63372 2449 34 phenomena phenomenon NNS 63372 2449 35 , , , 63372 2449 36 just just RB 63372 2449 37 as as IN 63372 2449 38 in in IN 63372 2449 39 the the DT 63372 2449 40 special special JJ 63372 2449 41 theory theory NN 63372 2449 42 a a DT 63372 2449 43 ray ray NN 63372 2449 44 of of IN 63372 2449 45 light light NN 63372 2449 46 would would MD 63372 2449 47 appear appear VB 63372 2449 48 the the DT 63372 2449 49 same same JJ 63372 2449 50 whether whether IN 63372 2449 51 viewed view VBD 63372 2449 52 from from IN 63372 2449 53 a a DT 63372 2449 54 fixed fix VBN 63372 2449 55 system system NN 63372 2449 56 or or CC 63372 2449 57 a a DT 63372 2449 58 system system NN 63372 2449 59 moving move VBG 63372 2449 60 with with IN 63372 2449 61 constant constant JJ 63372 2449 62 velocity velocity NN 63372 2449 63 with with IN 63372 2449 64 respect respect NN 63372 2449 65 to to IN 63372 2449 66 the the DT 63372 2449 67 ether ether NN 63372 2449 68 . . . 63372 2450 1 This this DT 63372 2450 2 makes make VBZ 63372 2450 3 the the DT 63372 2450 4 very very RB 63372 2450 5 broad broad JJ 63372 2450 6 assumption assumption NN 63372 2450 7 that that IN 63372 2450 8 no no RB 63372 2450 9 matter matter RB 63372 2450 10 what what WDT 63372 2450 11 system system NN 63372 2450 12 of of IN 63372 2450 13 coordinates coordinate NNS 63372 2450 14 we -PRON- PRP 63372 2450 15 may may MD 63372 2450 16 use use VB 63372 2450 17 , , , 63372 2450 18 the the DT 63372 2450 19 mathematical mathematical JJ 63372 2450 20 expressions expression NNS 63372 2450 21 for for IN 63372 2450 22 the the DT 63372 2450 23 laws law NNS 63372 2450 24 of of IN 63372 2450 25 nature nature NN 63372 2450 26 must must MD 63372 2450 27 be be VB 63372 2450 28 the the DT 63372 2450 29 same same JJ 63372 2450 30 . . . 63372 2451 1 In in IN 63372 2451 2 Einstein Einstein NNP 63372 2451 3 's 's POS 63372 2451 4 own own JJ 63372 2451 5 words word NNS 63372 2451 6 , , , 63372 2451 7 then then RB 63372 2451 8 , , , 63372 2451 9 the the DT 63372 2451 10 first first JJ 63372 2451 11 principle principle NN 63372 2451 12 of of IN 63372 2451 13 this this DT 63372 2451 14 more more RBR 63372 2451 15 general general JJ 63372 2451 16 theory theory NN 63372 2451 17 of of IN 63372 2451 18 relativity relativity NN 63372 2451 19 must must MD 63372 2451 20 be be VB 63372 2451 21 the the DT 63372 2451 22 following follow VBG 63372 2451 23 : : : 63372 2451 24 " " `` 63372 2451 25 The the DT 63372 2451 26 general general JJ 63372 2451 27 laws law NNS 63372 2451 28 of of IN 63372 2451 29 nature nature NN 63372 2451 30 are be VBP 63372 2451 31 expressed express VBN 63372 2451 32 through through IN 63372 2451 33 equations equation NNS 63372 2451 34 which which WDT 63372 2451 35 hold hold VBP 63372 2451 36 for for IN 63372 2451 37 all all DT 63372 2451 38 systems system NNS 63372 2451 39 of of IN 63372 2451 40 coordinates coordinate NNS 63372 2451 41 , , , 63372 2451 42 that that RB 63372 2451 43 is is RB 63372 2451 44 , , , 63372 2451 45 they -PRON- PRP 63372 2451 46 are be VBP 63372 2451 47 covariant covariant JJ 63372 2451 48 with with IN 63372 2451 49 respect respect NN 63372 2451 50 to to IN 63372 2451 51 arbitrary arbitrary JJ 63372 2451 52 substitutions substitution NNS 63372 2451 53 . . . 63372 2451 54 " " '' 63372 2452 1 [ [ -LRB- 63372 2452 2 5 5 CD 63372 2452 3 ] ] -RRB- 63372 2452 4 But but CC 63372 2452 5 this this DT 63372 2452 6 was be VBD 63372 2452 7 not not RB 63372 2452 8 enough enough JJ 63372 2452 9 to to TO 63372 2452 10 include include VB 63372 2452 11 gravitation gravitation NN 63372 2452 12 so so RB 63372 2452 13 Einstein Einstein NNP 63372 2452 14 next next RB 63372 2452 15 formulated formulate VBD 63372 2452 16 what what WP 63372 2452 17 he -PRON- PRP 63372 2452 18 was be VBD 63372 2452 19 pleased pleased JJ 63372 2452 20 to to TO 63372 2452 21 call call VB 63372 2452 22 his -PRON- PRP$ 63372 2452 23 " " `` 63372 2452 24 equivalence equivalence NN 63372 2452 25 hypothesis hypothesis NN 63372 2452 26 . . . 63372 2452 27 " " '' 63372 2453 1 This this DT 63372 2453 2 is be VBZ 63372 2453 3 best well RBS 63372 2453 4 illustrated illustrate VBN 63372 2453 5 by by IN 63372 2453 6 an an DT 63372 2453 7 example example NN 63372 2453 8 . . . 63372 2454 1 Suppose suppose VB 63372 2454 2 that that IN 63372 2454 3 we -PRON- PRP 63372 2454 4 are be VBP 63372 2454 5 mounting mount VBG 63372 2454 6 in in IN 63372 2454 7 an an DT 63372 2454 8 elevator elevator NN 63372 2454 9 and and CC 63372 2454 10 wish wish VB 63372 2454 11 to to TO 63372 2454 12 investigate investigate VB 63372 2454 13 the the DT 63372 2454 14 world world NN 63372 2454 15 of of IN 63372 2454 16 events event NNS 63372 2454 17 from from IN 63372 2454 18 our -PRON- PRP$ 63372 2454 19 moving move VBG 63372 2454 20 platform platform NN 63372 2454 21 . . . 63372 2455 1 We -PRON- PRP 63372 2455 2 mount mount VBP 63372 2455 3 more more RBR 63372 2455 4 and and CC 63372 2455 5 more more RBR 63372 2455 6 rapidly rapidly RB 63372 2455 7 , , , 63372 2455 8 that that DT 63372 2455 9 is be VBZ 63372 2455 10 with with IN 63372 2455 11 constant constant JJ 63372 2455 12 acceleration acceleration NN 63372 2455 13 , , , 63372 2455 14 and and CC 63372 2455 15 we -PRON- PRP 63372 2455 16 appear appear VBP 63372 2455 17 to to TO 63372 2455 18 be be VB 63372 2455 19 in in IN 63372 2455 20 a a DT 63372 2455 21 strong strong JJ 63372 2455 22 gravitational gravitational JJ 63372 2455 23 field field NN 63372 2455 24 due due IN 63372 2455 25 to to IN 63372 2455 26 our -PRON- PRP$ 63372 2455 27 own own JJ 63372 2455 28 inertia inertia NN 63372 2455 29 . . . 63372 2456 1 Suppose suppose VB 63372 2456 2 , , , 63372 2456 3 on on IN 63372 2456 4 the the DT 63372 2456 5 other other JJ 63372 2456 6 hand hand NN 63372 2456 7 , , , 63372 2456 8 that that IN 63372 2456 9 the the DT 63372 2456 10 elevator elevator NN 63372 2456 11 descends descend VBZ 63372 2456 12 with with IN 63372 2456 13 an an DT 63372 2456 14 acceleration acceleration NN 63372 2456 15 equal equal JJ 63372 2456 16 to to IN 63372 2456 17 that that DT 63372 2456 18 of of IN 63372 2456 19 gravity gravity NN 63372 2456 20 . . . 63372 2457 1 We -PRON- PRP 63372 2457 2 would would MD 63372 2457 3 now now RB 63372 2457 4 feel feel VB 63372 2457 5 certain certain JJ 63372 2457 6 that that IN 63372 2457 7 we -PRON- PRP 63372 2457 8 were be VBD 63372 2457 9 in in IN 63372 2457 10 empty empty JJ 63372 2457 11 space space NN 63372 2457 12 because because IN 63372 2457 13 our -PRON- PRP$ 63372 2457 14 own own JJ 63372 2457 15 relative relative JJ 63372 2457 16 acceleration acceleration NN 63372 2457 17 has have VBZ 63372 2457 18 entirely entirely RB 63372 2457 19 destroyed destroy VBN 63372 2457 20 that that DT 63372 2457 21 of of IN 63372 2457 22 the the DT 63372 2457 23 earth earth NN 63372 2457 24 's 's POS 63372 2457 25 gravitational gravitational JJ 63372 2457 26 field field NN 63372 2457 27 and and CC 63372 2457 28 all all DT 63372 2457 29 objects object NNS 63372 2457 30 placed place VBN 63372 2457 31 upon upon IN 63372 2457 32 scales scale NNS 63372 2457 33 in in IN 63372 2457 34 an an DT 63372 2457 35 elevator elevator NN 63372 2457 36 would would MD 63372 2457 37 apparently apparently RB 63372 2457 38 be be VB 63372 2457 39 without without IN 63372 2457 40 weight weight NN 63372 2457 41 . . . 63372 2458 1 Applying apply VBG 63372 2458 2 this this DT 63372 2458 3 idea idea NN 63372 2458 4 , , , 63372 2458 5 then then RB 63372 2458 6 , , , 63372 2458 7 Einstein Einstein NNP 63372 2458 8 decided decide VBD 63372 2458 9 to to TO 63372 2458 10 do do VB 63372 2458 11 away away RB 63372 2458 12 with with IN 63372 2458 13 gravitation gravitation NN 63372 2458 14 entirely entirely RB 63372 2458 15 by by IN 63372 2458 16 referring refer VBG 63372 2458 17 all all DT 63372 2458 18 events event NNS 63372 2458 19 in in IN 63372 2458 20 a a DT 63372 2458 21 gravitational gravitational JJ 63372 2458 22 field field NN 63372 2458 23 to to IN 63372 2458 24 a a DT 63372 2458 25 new new JJ 63372 2458 26 set set NN 63372 2458 27 of of IN 63372 2458 28 axes axis NNS 63372 2458 29 which which WDT 63372 2458 30 should should MD 63372 2458 31 move move VB 63372 2458 32 with with IN 63372 2458 33 constant constant JJ 63372 2458 34 acceleration acceleration NN 63372 2458 35 with with IN 63372 2458 36 respect respect NN 63372 2458 37 to to IN 63372 2458 38 the the DT 63372 2458 39 first first JJ 63372 2458 40 . . . 63372 2459 1 In in IN 63372 2459 2 other other JJ 63372 2459 3 words word NNS 63372 2459 4 we -PRON- PRP 63372 2459 5 are be VBP 63372 2459 6 going go VBG 63372 2459 7 to to TO 63372 2459 8 deal deal VB 63372 2459 9 with with IN 63372 2459 10 a a DT 63372 2459 11 system system NN 63372 2459 12 moving move VBG 63372 2459 13 with with IN 63372 2459 14 uniform uniform JJ 63372 2459 15 acceleration acceleration NN 63372 2459 16 with with IN 63372 2459 17 respect respect NN 63372 2459 18 to to IN 63372 2459 19 the the DT 63372 2459 20 ether ether NN 63372 2459 21 , , , 63372 2459 22 just just RB 63372 2459 23 as as IN 63372 2459 24 we -PRON- PRP 63372 2459 25 considered consider VBD 63372 2459 26 a a DT 63372 2459 27 system system NN 63372 2459 28 moving move VBG 63372 2459 29 with with IN 63372 2459 30 uniform uniform JJ 63372 2459 31 velocity velocity NN 63372 2459 32 in in IN 63372 2459 33 the the DT 63372 2459 34 special special JJ 63372 2459 35 theory theory NN 63372 2459 36 . . . 63372 2460 1 The the DT 63372 2460 2 next next JJ 63372 2460 3 step step NN 63372 2460 4 in in IN 63372 2460 5 the the DT 63372 2460 6 construction construction NN 63372 2460 7 of of IN 63372 2460 8 this this DT 63372 2460 9 complicated complicated JJ 63372 2460 10 theory theory NN 63372 2460 11 is be VBZ 63372 2460 12 to to TO 63372 2460 13 reduce reduce VB 63372 2460 14 these these DT 63372 2460 15 two two CD 63372 2460 16 hypotheses hypothesis NNS 63372 2460 17 to to IN 63372 2460 18 the the DT 63372 2460 19 language language NN 63372 2460 20 of of IN 63372 2460 21 mathematics mathematic NNS 63372 2460 22 and and CC 63372 2460 23 this this DT 63372 2460 24 was be VBD 63372 2460 25 accomplished accomplish VBN 63372 2460 26 by by IN 63372 2460 27 Einstein Einstein NNP 63372 2460 28 with with IN 63372 2460 29 the the DT 63372 2460 30 help help NN 63372 2460 31 of of IN 63372 2460 32 M. M. NNP 63372 2460 33 Grossmann Grossmann NNP 63372 2460 34 by by IN 63372 2460 35 means mean NNS 63372 2460 36 of of IN 63372 2460 37 the the DT 63372 2460 38 theory theory NN 63372 2460 39 of of IN 63372 2460 40 tensors tensor NNS 63372 2460 41 . . . 63372 2461 1 On on IN 63372 2461 2 account account NN 63372 2461 3 of of IN 63372 2461 4 the the DT 63372 2461 5 very very RB 63372 2461 6 great great JJ 63372 2461 7 intricacy intricacy NN 63372 2461 8 of of IN 63372 2461 9 the the DT 63372 2461 10 details detail NNS 63372 2461 11 , , , 63372 2461 12 we -PRON- PRP 63372 2461 13 must must MD 63372 2461 14 content content VB 63372 2461 15 ourselves -PRON- PRP 63372 2461 16 with with IN 63372 2461 17 the the DT 63372 2461 18 mere mere JJ 63372 2461 19 statement statement NN 63372 2461 20 that that IN 63372 2461 21 this this DT 63372 2461 22 really really RB 63372 2461 23 involved involve VBD 63372 2461 24 the the DT 63372 2461 25 generalization generalization NN 63372 2461 26 of of IN 63372 2461 27 the the DT 63372 2461 28 famous famous JJ 63372 2461 29 expressions expression NNS 63372 2461 30 known know VBN 63372 2461 31 as as IN 63372 2461 32 Laplace Laplace NNP 63372 2461 33 's 's POS 63372 2461 34 and and CC 63372 2461 35 Poisson Poisson NNP 63372 2461 36 's 's POS 63372 2461 37 equations equation NNS 63372 2461 38 , , , 63372 2461 39 on on IN 63372 2461 40 the the DT 63372 2461 41 explicit explicit JJ 63372 2461 42 assumption assumption NN 63372 2461 43 that that IN 63372 2461 44 these these DT 63372 2461 45 two two CD 63372 2461 46 equations equation NNS 63372 2461 47 would would MD 63372 2461 48 still still RB 63372 2461 49 describe describe VB 63372 2461 50 the the DT 63372 2461 51 gravitational gravitational JJ 63372 2461 52 field field NN 63372 2461 53 when when WRB 63372 2461 54 we -PRON- PRP 63372 2461 55 are be VBP 63372 2461 56 content content JJ 63372 2461 57 to to TO 63372 2461 58 use use VB 63372 2461 59 a a DT 63372 2461 60 first first JJ 63372 2461 61 approximation approximation NN 63372 2461 62 to to IN 63372 2461 63 the the DT 63372 2461 64 truth truth NN 63372 2461 65 . . . 63372 2462 1 The the DT 63372 2462 2 set set NN 63372 2462 3 of of IN 63372 2462 4 ten ten CD 63372 2462 5 differential differential JJ 63372 2462 6 equations equation NNS 63372 2462 7 which which WDT 63372 2462 8 Einstein Einstein NNP 63372 2462 9 got get VBD 63372 2462 10 as as IN 63372 2462 11 a a DT 63372 2462 12 result result NN 63372 2462 13 of of IN 63372 2462 14 his -PRON- PRP$ 63372 2462 15 generalization generalization NN 63372 2462 16 he -PRON- PRP 63372 2462 17 called call VBD 63372 2462 18 his -PRON- PRP$ 63372 2462 19 field field NN 63372 2462 20 equations equation NNS 63372 2462 21 of of IN 63372 2462 22 gravitation gravitation NN 63372 2462 23 . . . 63372 2463 1 [ [ -LRB- 63372 2463 2 6 6 CD 63372 2463 3 ] ] -RRB- 63372 2463 4 XIV XIV NNP 63372 2463 5 NEW NEW NNP 63372 2463 6 CONCEPTS CONCEPTS NNP 63372 2463 7 FOR for IN 63372 2463 8 OLD old JJ 63372 2463 9 What what WP 63372 2463 10 the the DT 63372 2463 11 World World NNP 63372 2463 12 Looks look VBZ 63372 2463 13 Like like IN 63372 2463 14 After after IN 63372 2463 15 Einstein Einstein NNP 63372 2463 16 Has have VBZ 63372 2463 17 Had have VBD 63372 2463 18 His -PRON- PRP$ 63372 2463 19 Way way NN 63372 2463 20 With with IN 63372 2463 21 It -PRON- PRP 63372 2463 22 BY by IN 63372 2463 23 JOHN JOHN NNP 63372 2463 24 G. G. NNP 63372 2463 25 McHARDY McHARDY NNP 63372 2463 26 , , , 63372 2463 27 COMMANDER COMMANDER NNP 63372 2463 28 R.N. R.N. NNP 63372 2463 29 , , , 63372 2463 30 LONDON LONDON NNP 63372 2463 31 " " `` 63372 2463 32 The the DT 63372 2463 33 new new JJ 63372 2463 34 - - HYPH 63372 2463 35 created create VBN 63372 2463 36 world world NN 63372 2463 37 , , , 63372 2463 38 which which WDT 63372 2463 39 fame fame NN 63372 2463 40 in in IN 63372 2463 41 heaven heaven NNP 63372 2463 42 Long Long NNP 63372 2463 43 had have VBD 63372 2463 44 foretold foretold NN 63372 2463 45 , , , 63372 2463 46 a a DT 63372 2463 47 fabric fabric NN 63372 2463 48 wonderful wonderful JJ 63372 2463 49 , , , 63372 2463 50 Of of IN 63372 2463 51 absolute absolute JJ 63372 2463 52 perfection perfection NN 63372 2463 53 . . . 63372 2463 54 " " '' 63372 2464 1 Einstein Einstein NNP 63372 2464 2 's 's POS 63372 2464 3 Theory Theory NNP 63372 2464 4 of of IN 63372 2464 5 Relativity Relativity NNP 63372 2464 6 has have VBZ 63372 2464 7 led lead VBN 63372 2464 8 to to IN 63372 2464 9 determining determine VBG 63372 2464 10 a a DT 63372 2464 11 key key JJ 63372 2464 12 law law NN 63372 2464 13 of of IN 63372 2464 14 nature nature NN 63372 2464 15 -- -- : 63372 2464 16 the the DT 63372 2464 17 law law NN 63372 2464 18 of of IN 63372 2464 19 gravitation gravitation NN 63372 2464 20 -- -- : 63372 2464 21 which which WDT 63372 2464 22 is be VBZ 63372 2464 23 also also RB 63372 2464 24 the the DT 63372 2464 25 basic basic JJ 63372 2464 26 law law NN 63372 2464 27 of of IN 63372 2464 28 mechanics mechanic NNS 63372 2464 29 . . . 63372 2465 1 Thus thus RB 63372 2465 2 it -PRON- PRP 63372 2465 3 embraces embrace VBZ 63372 2465 4 a a DT 63372 2465 5 whole whole JJ 63372 2465 6 realm realm NN 63372 2465 7 of of IN 63372 2465 8 physics physics NN 63372 2465 9 , , , 63372 2465 10 and and CC 63372 2465 11 promises promise NNS 63372 2465 12 , , , 63372 2465 13 through through IN 63372 2465 14 the the DT 63372 2465 15 researches research NNS 63372 2465 16 of of IN 63372 2465 17 Professor Professor NNP 63372 2465 18 Weyl Weyl NNP 63372 2465 19 , , , 63372 2465 20 to to TO 63372 2465 21 embrace embrace VB 63372 2465 22 another another DT 63372 2465 23 realm realm NN 63372 2465 24 -- -- : 63372 2465 25 electro electro NNP 63372 2465 26 - - HYPH 63372 2465 27 dynamics dynamic NNS 63372 2465 28 . . . 63372 2466 1 Its -PRON- PRP$ 63372 2466 2 limitations limitation NNS 63372 2466 3 are be VBP 63372 2466 4 not not RB 63372 2466 5 yet yet RB 63372 2466 6 reached reach VBN 63372 2466 7 , , , 63372 2466 8 for for IN 63372 2466 9 Einstein Einstein NNP 63372 2466 10 has have VBZ 63372 2466 11 already already RB 63372 2466 12 postulated postulate VBN 63372 2466 13 therefrom therefrom IN 63372 2466 14 a a DT 63372 2466 15 theory theory NN 63372 2466 16 of of IN 63372 2466 17 a a DT 63372 2466 18 finite finite NN 63372 2466 19 , , , 63372 2466 20 yet yet CC 63372 2466 21 unbounded unbounded JJ 63372 2466 22 , , , 63372 2466 23 universe universe JJ 63372 2466 24 . . . 63372 2467 1 This this DT 63372 2467 2 essay essay NN 63372 2467 3 , , , 63372 2467 4 however however RB 63372 2467 5 , , , 63372 2467 6 is be VBZ 63372 2467 7 mainly mainly RB 63372 2467 8 concerned concern VBN 63372 2467 9 with with IN 63372 2467 10 mechanics mechanic NNS 63372 2467 11 , , , 63372 2467 12 and and CC 63372 2467 13 electrical electrical JJ 63372 2467 14 forces force NNS 63372 2467 15 are be VBP 63372 2467 16 not not RB 63372 2467 17 considered consider VBN 63372 2467 18 . . . 63372 2468 1 To to TO 63372 2468 2 have have VB 63372 2468 3 synthesised synthesise VBN 63372 2468 4 Newton Newton NNP 63372 2468 5 's 's POS 63372 2468 6 two two CD 63372 2468 7 great great JJ 63372 2468 8 principles principle NNS 63372 2468 9 -- -- : 63372 2468 10 his -PRON- PRP$ 63372 2468 11 law law NN 63372 2468 12 of of IN 63372 2468 13 motion motion NN 63372 2468 14 and and CC 63372 2468 15 law law NN 63372 2468 16 of of IN 63372 2468 17 gravitation gravitation NN 63372 2468 18 -- -- : 63372 2468 19 interpreting interpret VBG 63372 2468 20 in in IN 63372 2468 21 the the DT 63372 2468 22 process process NN 63372 2468 23 the the DT 63372 2468 24 empirical empirical JJ 63372 2468 25 law law NN 63372 2468 26 of of IN 63372 2468 27 equality equality NN 63372 2468 28 of of IN 63372 2468 29 gravitational gravitational JJ 63372 2468 30 and and CC 63372 2468 31 inertial inertial JJ 63372 2468 32 mass mass NN 63372 2468 33 , , , 63372 2468 34 is be VBZ 63372 2468 35 alone alone RB 63372 2468 36 an an DT 63372 2468 37 immense immense JJ 63372 2468 38 achievement achievement NN 63372 2468 39 ; ; : 63372 2468 40 but but CC 63372 2468 41 Einstein Einstein NNP 63372 2468 42 's 's POS 63372 2468 43 researches research NNS 63372 2468 44 have have VBP 63372 2468 45 opened open VBN 63372 2468 46 up up RP 63372 2468 47 a a DT 63372 2468 48 new new JJ 63372 2468 49 world world NN 63372 2468 50 to to IN 63372 2468 51 the the DT 63372 2468 52 physicist physicist NN 63372 2468 53 and and CC 63372 2468 54 philosopher philosopher NN 63372 2468 55 which which WDT 63372 2468 56 is be VBZ 63372 2468 57 of of IN 63372 2468 58 greater great JJR 63372 2468 59 importance importance NN 63372 2468 60 . . . 63372 2469 1 He -PRON- PRP 63372 2469 2 has have VBZ 63372 2469 3 given give VBN 63372 2469 4 us -PRON- PRP 63372 2469 5 a a DT 63372 2469 6 vision vision NN 63372 2469 7 of of IN 63372 2469 8 the the DT 63372 2469 9 immaterial immaterial JJ 63372 2469 10 world world NN 63372 2469 11 , , , 63372 2469 12 a a DT 63372 2469 13 geometrical geometrical JJ 63372 2469 14 or or CC 63372 2469 15 mathematical mathematical JJ 63372 2469 16 vision vision NN 63372 2469 17 , , , 63372 2469 18 which which WDT 63372 2469 19 is be VBZ 63372 2469 20 more more RBR 63372 2469 21 satisfying satisfying JJ 63372 2469 22 than than IN 63372 2469 23 the the DT 63372 2469 24 " " `` 63372 2469 25 ether ether NN 63372 2469 26 " " '' 63372 2469 27 conceptions conception NNS 63372 2469 28 hitherto hitherto NNP 63372 2469 29 presented present VBD 63372 2469 30 . . . 63372 2470 1 The the DT 63372 2470 2 fabric fabric NN 63372 2470 3 of of IN 63372 2470 4 his -PRON- PRP$ 63372 2470 5 vision vision NN 63372 2470 6 is be VBZ 63372 2470 7 not not RB 63372 2470 8 baseless baseless JJ 63372 2470 9 . . . 63372 2471 1 It -PRON- PRP 63372 2471 2 is be VBZ 63372 2471 3 this this DT 63372 2471 4 fabric fabric NN 63372 2471 5 we -PRON- PRP 63372 2471 6 shall shall MD 63372 2471 7 consider consider VB 63372 2471 8 , , , 63372 2471 9 touching touch VBG 63372 2471 10 on on IN 63372 2471 11 certain certain JJ 63372 2471 12 aspects aspect NNS 63372 2471 13 of of IN 63372 2471 14 the the DT 63372 2471 15 Einstein Einstein NNP 63372 2471 16 theory theory NN 63372 2471 17 in in IN 63372 2471 18 the the DT 63372 2471 19 endeavor endeavor NN 63372 2471 20 to to TO 63372 2471 21 present present VB 63372 2471 22 an an DT 63372 2471 23 image image NN 63372 2471 24 in in IN 63372 2471 25 miniature miniature NN 63372 2471 26 of of IN 63372 2471 27 his -PRON- PRP$ 63372 2471 28 edifice edifice NN 63372 2471 29 of of IN 63372 2471 30 thought thought NN 63372 2471 31 and and CC 63372 2471 32 to to TO 63372 2471 33 show show VB 63372 2471 34 the the DT 63372 2471 35 firmness firmness NN 63372 2471 36 of of IN 63372 2471 37 its -PRON- PRP$ 63372 2471 38 foundations foundation NNS 63372 2471 39 . . . 63372 2472 1 That that IN 63372 2472 2 they -PRON- PRP 63372 2472 3 are be VBP 63372 2472 4 well well RB 63372 2472 5 and and CC 63372 2472 6 truly truly RB 63372 2472 7 laid lay VBN 63372 2472 8 was be VBD 63372 2472 9 demonstrated demonstrate VBN 63372 2472 10 by by IN 63372 2472 11 the the DT 63372 2472 12 verification verification NN 63372 2472 13 , , , 63372 2472 14 from from IN 63372 2472 15 observations observation NNS 63372 2472 16 made make VBN 63372 2472 17 during during IN 63372 2472 18 the the DT 63372 2472 19 solar solar JJ 63372 2472 20 eclipse eclipse NN 63372 2472 21 in in IN 63372 2472 22 1919 1919 CD 63372 2472 23 , , , 63372 2472 24 of of IN 63372 2472 25 Einstein Einstein NNP 63372 2472 26 's 's POS 63372 2472 27 prediction prediction NN 63372 2472 28 of of IN 63372 2472 29 the the DT 63372 2472 30 displacement displacement NN 63372 2472 31 of of IN 63372 2472 32 a a DT 63372 2472 33 wave wave NN 63372 2472 34 of of IN 63372 2472 35 light light NN 63372 2472 36 in in IN 63372 2472 37 a a DT 63372 2472 38 gravitational gravitational JJ 63372 2472 39 field field NN 63372 2472 40 , , , 63372 2472 41 showing show VBG 63372 2472 42 light light NN 63372 2472 43 to to TO 63372 2472 44 have have VB 63372 2472 45 the the DT 63372 2472 46 property property NN 63372 2472 47 of of IN 63372 2472 48 weight weight NN 63372 2472 49 . . . 63372 2473 1 The the DT 63372 2473 2 physical physical JJ 63372 2473 3 world world NN 63372 2473 4 is be VBZ 63372 2473 5 shown show VBN 63372 2473 6 by by IN 63372 2473 7 Einstein Einstein NNP 63372 2473 8 to to TO 63372 2473 9 be be VB 63372 2473 10 a a DT 63372 2473 11 world world NN 63372 2473 12 of of IN 63372 2473 13 " " `` 63372 2473 14 relations relation NNS 63372 2473 15 . . . 63372 2473 16 " " '' 63372 2474 1 Underlying underlie VBG 63372 2474 2 it -PRON- PRP 63372 2474 3 there there EX 63372 2474 4 is be VBZ 63372 2474 5 an an DT 63372 2474 6 absolute absolute JJ 63372 2474 7 world world NN 63372 2474 8 of of IN 63372 2474 9 which which WDT 63372 2474 10 physical physical JJ 63372 2474 11 phenomena phenomenon NNS 63372 2474 12 are be VBP 63372 2474 13 the the DT 63372 2474 14 manifestation manifestation NN 63372 2474 15 . . . 63372 2475 1 " " `` 63372 2475 2 Give give VB 63372 2475 3 me -PRON- PRP 63372 2475 4 matter matter NN 63372 2475 5 and and CC 63372 2475 6 motion motion NN 63372 2475 7 , , , 63372 2475 8 " " '' 63372 2475 9 says say VBZ 63372 2475 10 Descartes Descartes NNP 63372 2475 11 , , , 63372 2475 12 " " `` 63372 2475 13 and and CC 63372 2475 14 I -PRON- PRP 63372 2475 15 will will MD 63372 2475 16 construct construct VB 63372 2475 17 the the DT 63372 2475 18 world world NN 63372 2475 19 . . . 63372 2475 20 " " '' 63372 2476 1 " " `` 63372 2476 2 Give give VB 63372 2476 3 me -PRON- PRP 63372 2476 4 a a DT 63372 2476 5 world world NN 63372 2476 6 in in IN 63372 2476 7 which which WDT 63372 2476 8 there there EX 63372 2476 9 are be VBP 63372 2476 10 ordered order VBN 63372 2476 11 relations relation NNS 63372 2476 12 , , , 63372 2476 13 " " '' 63372 2476 14 says say VBZ 63372 2476 15 the the DT 63372 2476 16 Relativist Relativist NNP 63372 2476 17 , , , 63372 2476 18 " " '' 63372 2476 19 and and CC 63372 2476 20 I -PRON- PRP 63372 2476 21 will will MD 63372 2476 22 show show VB 63372 2476 23 you -PRON- PRP 63372 2476 24 the the DT 63372 2476 25 behavior behavior NN 63372 2476 26 of of IN 63372 2476 27 matter matter NN 63372 2476 28 therein therein RB 63372 2476 29 " " '' 63372 2476 30 ( ( -LRB- 63372 2476 31 mechanics mechanic NNS 63372 2476 32 ) ) -RRB- 63372 2476 33 . . . 63372 2477 1 We -PRON- PRP 63372 2477 2 first first RB 63372 2477 3 view view VBP 63372 2477 4 this this DT 63372 2477 5 underlying underlie VBG 63372 2477 6 world world NN 63372 2477 7 as as IN 63372 2477 8 an an DT 63372 2477 9 abstraction abstraction NN 63372 2477 10 , , , 63372 2477 11 abstracting abstract VBG 63372 2477 12 energy energy NN 63372 2477 13 ( ( -LRB- 63372 2477 14 " " `` 63372 2477 15 bound bind VBN 63372 2477 16 " " '' 63372 2477 17 as as IN 63372 2477 18 in in IN 63372 2477 19 matter matter NN 63372 2477 20 and and CC 63372 2477 21 electrons electron NNS 63372 2477 22 , , , 63372 2477 23 " " `` 63372 2477 24 free free JJ 63372 2477 25 " " '' 63372 2477 26 as as IN 63372 2477 27 in in IN 63372 2477 28 light light NN 63372 2477 29 ) ) -RRB- 63372 2477 30 , , , 63372 2477 31 and and CC 63372 2477 32 its -PRON- PRP$ 63372 2477 33 attribute attribute NN 63372 2477 34 force force NN 63372 2477 35 . . . 63372 2478 1 This this DT 63372 2478 2 abstraction abstraction NN 63372 2478 3 we -PRON- PRP 63372 2478 4 will will MD 63372 2478 5 call call VB 63372 2478 6 the the DT 63372 2478 7 " " `` 63372 2478 8 World World NNP 63372 2478 9 - - HYPH 63372 2478 10 Frame Frame NNP 63372 2478 11 . . . 63372 2478 12 " " '' 63372 2479 1 Later later RBR 63372 2479 2 , , , 63372 2479 3 we -PRON- PRP 63372 2479 4 will will MD 63372 2479 5 study study VB 63372 2479 6 the the DT 63372 2479 7 underlying underlie VBG 63372 2479 8 world world NN 63372 2479 9 in in IN 63372 2479 10 connection connection NN 63372 2479 11 with with IN 63372 2479 12 energy energy NN 63372 2479 13 , , , 63372 2479 14 and and CC 63372 2479 15 will will MD 63372 2479 16 call call VB 63372 2479 17 this this DT 63372 2479 18 absolute absolute JJ 63372 2479 19 world world NN 63372 2479 20 the the DT 63372 2479 21 " " `` 63372 2479 22 World World NNP 63372 2479 23 - - HYPH 63372 2479 24 Fabric Fabric NNP 63372 2479 25 . . . 63372 2479 26 " " '' 63372 2480 1 The the DT 63372 2480 2 connection connection NN 63372 2480 3 between between IN 63372 2480 4 the the DT 63372 2480 5 geometrical geometrical JJ 63372 2480 6 character character NN 63372 2480 7 of of IN 63372 2480 8 the the DT 63372 2480 9 World World NNP 63372 2480 10 - - HYPH 63372 2480 11 Frame Frame NNP 63372 2480 12 and and CC 63372 2480 13 the the DT 63372 2480 14 geometrical geometrical JJ 63372 2480 15 characters character NNS 63372 2480 16 of of IN 63372 2480 17 the the DT 63372 2480 18 World World NNP 63372 2480 19 - - HYPH 63372 2480 20 Fabric Fabric NNP 63372 2480 21 is be VBZ 63372 2480 22 the the DT 63372 2480 23 key key NN 63372 2480 24 to to IN 63372 2480 25 the the DT 63372 2480 26 law law NN 63372 2480 27 of of IN 63372 2480 28 gravitation gravitation NN 63372 2480 29 . . . 63372 2481 1 THE the DT 63372 2481 2 WORLD WORLD NNP 63372 2481 3 - - HYPH 63372 2481 4 FRAME FRAME NNP 63372 2481 5 This this DT 63372 2481 6 is be VBZ 63372 2481 7 our -PRON- PRP$ 63372 2481 8 conception conception NN 63372 2481 9 of of IN 63372 2481 10 a a DT 63372 2481 11 world world NN 63372 2481 12 , , , 63372 2481 13 if if IN 63372 2481 14 such such JJ 63372 2481 15 were be VBD 63372 2481 16 possible possible JJ 63372 2481 17 , , , 63372 2481 18 entirely entirely RB 63372 2481 19 free free JJ 63372 2481 20 from from IN 63372 2481 21 the the DT 63372 2481 22 influence influence NN 63372 2481 23 of of IN 63372 2481 24 energy energy NN 63372 2481 25 . . . 63372 2482 1 We -PRON- PRP 63372 2482 2 may may MD 63372 2482 3 conceive conceive VB 63372 2482 4 of of IN 63372 2482 5 it -PRON- PRP 63372 2482 6 as as IN 63372 2482 7 an an DT 63372 2482 8 amorphous amorphous JJ 63372 2482 9 immaterial immaterial JJ 63372 2482 10 something something NN 63372 2482 11 containing contain VBG 63372 2482 12 " " `` 63372 2482 13 point point NN 63372 2482 14 - - HYPH 63372 2482 15 events event NNS 63372 2482 16 " " '' 63372 2482 17 ( ( -LRB- 63372 2482 18 a a DT 63372 2482 19 point point NN 63372 2482 20 - - HYPH 63372 2482 21 event event NN 63372 2482 22 being be VBG 63372 2482 23 an an DT 63372 2482 24 instant instant NN 63372 2482 25 of of IN 63372 2482 26 time time NN 63372 2482 27 at at IN 63372 2482 28 a a DT 63372 2482 29 point point NN 63372 2482 30 in in IN 63372 2482 31 space space NN 63372 2482 32 -- -- : 63372 2482 33 a a DT 63372 2482 34 conception conception NN 63372 2482 35 , , , 63372 2482 36 not not RB 63372 2482 37 a a DT 63372 2482 38 definition definition NN 63372 2482 39 ) ) -RRB- 63372 2482 40 . . . 63372 2483 1 These these DT 63372 2483 2 point point NN 63372 2483 3 - - HYPH 63372 2483 4 events event NNS 63372 2483 5 have have VBP 63372 2483 6 a a DT 63372 2483 7 fourfold fourfold JJ 63372 2483 8 order order NN 63372 2483 9 and and CC 63372 2483 10 definite definite JJ 63372 2483 11 relation relation NN 63372 2483 12 in in IN 63372 2483 13 this this DT 63372 2483 14 Frame Frame NNP 63372 2483 15 , , , 63372 2483 16 i.e. i.e. FW 63372 2484 1 they -PRON- PRP 63372 2484 2 can can MD 63372 2484 3 be be VB 63372 2484 4 specified specify VBN 63372 2484 5 by by IN 63372 2484 6 four four CD 63372 2484 7 variables variable NNS 63372 2484 8 or or CC 63372 2484 9 coordinates coordinate NNS 63372 2484 10 in in IN 63372 2484 11 reference reference NN 63372 2484 12 to to IN 63372 2484 13 some some DT 63372 2484 14 base base NN 63372 2484 15 called call VBN 63372 2484 16 a a DT 63372 2484 17 reference reference NN 63372 2484 18 system system NN 63372 2484 19 , , , 63372 2484 20 with with IN 63372 2484 21 respect respect NN 63372 2484 22 to to IN 63372 2484 23 which which WDT 63372 2484 24 they -PRON- PRP 63372 2484 25 are be VBP 63372 2484 26 forward forward RB 63372 2484 27 or or CC 63372 2484 28 backward backward JJ 63372 2484 29 , , , 63372 2484 30 right right RB 63372 2484 31 or or CC 63372 2484 32 left left RB 63372 2484 33 , , , 63372 2484 34 above above IN 63372 2484 35 or or CC 63372 2484 36 below below RB 63372 2484 37 , , , 63372 2484 38 sooner sooner RB 63372 2484 39 or or CC 63372 2484 40 later later RB 63372 2484 41 . . . 63372 2485 1 This this DT 63372 2485 2 shows show VBZ 63372 2485 3 the the DT 63372 2485 4 World World NNP 63372 2485 5 - - HYPH 63372 2485 6 Frame Frame NNP 63372 2485 7 to to TO 63372 2485 8 be be VB 63372 2485 9 four four CD 63372 2485 10 - - HYPH 63372 2485 11 dimensional dimensional JJ 63372 2485 12 . . . 63372 2486 1 Thus thus RB 63372 2486 2 an an DT 63372 2486 3 aggregate aggregate NN 63372 2486 4 of of IN 63372 2486 5 point point NN 63372 2486 6 - - HYPH 63372 2486 7 events event NNS 63372 2486 8 ( ( -LRB- 63372 2486 9 or or CC 63372 2486 10 an an DT 63372 2486 11 " " `` 63372 2486 12 event event NN 63372 2486 13 , , , 63372 2486 14 " " '' 63372 2486 15 which which WDT 63372 2486 16 implies imply VBZ 63372 2486 17 limited limited JJ 63372 2486 18 extension extension NN 63372 2486 19 in in IN 63372 2486 20 space space NN 63372 2486 21 and and CC 63372 2486 22 limited limited JJ 63372 2486 23 duration duration NN 63372 2486 24 in in IN 63372 2486 25 time time NN 63372 2486 26 ) ) -RRB- 63372 2486 27 [ [ -LRB- 63372 2486 28 7 7 CD 63372 2486 29 ] ] -RRB- 63372 2486 30 would would MD 63372 2486 31 have have VB 63372 2486 32 what what WP 63372 2486 33 we -PRON- PRP 63372 2486 34 familiarly familiarly RB 63372 2486 35 describe describe VBP 63372 2486 36 as as IN 63372 2486 37 length length NN 63372 2486 38 , , , 63372 2486 39 breadth breadth NN 63372 2486 40 , , , 63372 2486 41 height height NN 63372 2486 42 and and CC 63372 2486 43 time time NN 63372 2486 44 . . . 63372 2487 1 To to TO 63372 2487 2 express express VB 63372 2487 3 these these DT 63372 2487 4 metrical metrical JJ 63372 2487 5 properties property NNS 63372 2487 6 most most RBS 63372 2487 7 simply simply RB 63372 2487 8 we -PRON- PRP 63372 2487 9 must must MD 63372 2487 10 choose choose VB 63372 2487 11 a a DT 63372 2487 12 four four CD 63372 2487 13 - - HYPH 63372 2487 14 dimensional dimensional JJ 63372 2487 15 reference reference NN 63372 2487 16 system system NN 63372 2487 17 having have VBG 63372 2487 18 a a DT 63372 2487 19 particular particular JJ 63372 2487 20 form form NN 63372 2487 21 -- -- : 63372 2487 22 rectilinear rectilinear JJ 63372 2487 23 axes axis NNS 63372 2487 24 ( ( -LRB- 63372 2487 25 Cartesian cartesian JJ 63372 2487 26 coordinates coordinate NNS 63372 2487 27 ) ) -RRB- 63372 2487 28 , , , 63372 2487 29 and and CC 63372 2487 30 a a DT 63372 2487 31 particular particular JJ 63372 2487 32 motion motion NN 63372 2487 33 -- -- : 63372 2487 34 uniform uniform JJ 63372 2487 35 and and CC 63372 2487 36 rectilinear rectilinear NNP 63372 2487 37 , , , 63372 2487 38 i.e. i.e. FW 63372 2488 1 unaccelerated unaccelerated JJ 63372 2488 2 , , , 63372 2488 3 and and CC 63372 2488 4 non non JJ 63372 2488 5 - - JJ 63372 2488 6 rotating rotate VBG 63372 2488 7 with with IN 63372 2488 8 respect respect NN 63372 2488 9 to to IN 63372 2488 10 the the DT 63372 2488 11 path path NN 63372 2488 12 of of IN 63372 2488 13 a a DT 63372 2488 14 light light JJ 63372 2488 15 ray ray NN 63372 2488 16 . . . 63372 2489 1 We -PRON- PRP 63372 2489 2 call call VBP 63372 2489 3 this this DT 63372 2489 4 an an DT 63372 2489 5 inertial inertial JJ 63372 2489 6 system system NN 63372 2489 7 because because IN 63372 2489 8 Newton Newton NNP 63372 2489 9 's 's POS 63372 2489 10 Law Law NNP 63372 2489 11 of of IN 63372 2489 12 Inertia Inertia NNP 63372 2489 13 holds hold VBZ 63372 2489 14 for for IN 63372 2489 15 such such PDT 63372 2489 16 a a DT 63372 2489 17 system system NN 63372 2489 18 alone alone RB 63372 2489 19 . . . 63372 2490 1 This this DT 63372 2490 2 system system NN 63372 2490 3 indicates indicate VBZ 63372 2490 4 how how WRB 63372 2490 5 observers observer NNS 63372 2490 6 partition partition VBP 63372 2490 7 the the DT 63372 2490 8 World World NNP 63372 2490 9 - - HYPH 63372 2490 10 Frame Frame NNP 63372 2490 11 into into IN 63372 2490 12 space space NN 63372 2490 13 and and CC 63372 2490 14 time time NN 63372 2490 15 . . . 63372 2491 1 It -PRON- PRP 63372 2491 2 restricts restrict VBZ 63372 2491 3 observers observer NNS 63372 2491 4 to to TO 63372 2491 5 uniform uniform VB 63372 2491 6 rectilinear rectilinear JJ 63372 2491 7 motion motion NN 63372 2491 8 , , , 63372 2491 9 and and CC 63372 2491 10 observations observation NNS 63372 2491 11 to to IN 63372 2491 12 bodies body NNS 63372 2491 13 and and CC 63372 2491 14 light light NN 63372 2491 15 - - HYPH 63372 2491 16 pulses pulse NNS 63372 2491 17 in in IN 63372 2491 18 such such JJ 63372 2491 19 motion motion NN 63372 2491 20 . . . 63372 2492 1 Thus thus RB 63372 2492 2 gravitational gravitational JJ 63372 2492 3 and and CC 63372 2492 4 other other JJ 63372 2492 5 forces force NNS 63372 2492 6 are be VBP 63372 2492 7 discounted discount VBN 63372 2492 8 , , , 63372 2492 9 and and CC 63372 2492 10 we -PRON- PRP 63372 2492 11 obtain obtain VBP 63372 2492 12 World World NNP 63372 2492 13 - - HYPH 63372 2492 14 Frame Frame NNP 63372 2492 15 conditions condition NNS 63372 2492 16 notwithstanding notwithstanding IN 63372 2492 17 the the DT 63372 2492 18 fact fact NN 63372 2492 19 that that IN 63372 2492 20 observers observer NNS 63372 2492 21 are be VBP 63372 2492 22 in in IN 63372 2492 23 the the DT 63372 2492 24 presence presence NN 63372 2492 25 of of IN 63372 2492 26 energy energy NN 63372 2492 27 . . . 63372 2493 1 Now now RB 63372 2493 2 the the DT 63372 2493 3 separation separation NN 63372 2493 4 between between IN 63372 2493 5 point point NN 63372 2493 6 - - HYPH 63372 2493 7 events event NNS 63372 2493 8 which which WDT 63372 2493 9 have have VBP 63372 2493 10 a a DT 63372 2493 11 definite definite JJ 63372 2493 12 relation relation NN 63372 2493 13 to to IN 63372 2493 14 each each DT 63372 2493 15 other other JJ 63372 2493 16 must must MD 63372 2493 17 be be VB 63372 2493 18 absolute absolute JJ 63372 2493 19 . . . 63372 2494 1 The the DT 63372 2494 2 separation separation NN 63372 2494 3 between between IN 63372 2494 4 two two CD 63372 2494 5 points point NNS 63372 2494 6 in in IN 63372 2494 7 a a DT 63372 2494 8 plane plane NN 63372 2494 9 is be VBZ 63372 2494 10 defined define VBN 63372 2494 11 by by IN 63372 2494 12 the the DT 63372 2494 13 unique unique JJ 63372 2494 14 distance distance NN 63372 2494 15 between between IN 63372 2494 16 them -PRON- PRP 63372 2494 17 ( ( -LRB- 63372 2494 18 the the DT 63372 2494 19 straight straight JJ 63372 2494 20 line line NN 63372 2494 21 joining join VBG 63372 2494 22 them -PRON- PRP 63372 2494 23 ) ) -RRB- 63372 2494 24 . . . 63372 2495 1 Between between IN 63372 2495 2 point point NN 63372 2495 3 - - HYPH 63372 2495 4 events event NNS 63372 2495 5 the the DT 63372 2495 6 analogue analogue NN 63372 2495 7 of of IN 63372 2495 8 this this DT 63372 2495 9 unique unique JJ 63372 2495 10 distance distance NN 63372 2495 11 , , , 63372 2495 12 which which WDT 63372 2495 13 we -PRON- PRP 63372 2495 14 call call VBP 63372 2495 15 the the DT 63372 2495 16 " " `` 63372 2495 17 separation separation NN 63372 2495 18 - - HYPH 63372 2495 19 interval interval NN 63372 2495 20 " " '' 63372 2495 21 ( ( -LRB- 63372 2495 22 to to TO 63372 2495 23 indicate indicate VB 63372 2495 24 its -PRON- PRP$ 63372 2495 25 time time NN 63372 2495 26 - - HYPH 63372 2495 27 like like JJ 63372 2495 28 and and CC 63372 2495 29 space space NN 63372 2495 30 - - HYPH 63372 2495 31 like like JJ 63372 2495 32 nature nature NN 63372 2495 33 ) ) -RRB- 63372 2495 34 , , , 63372 2495 35 is be VBZ 63372 2495 36 also also RB 63372 2495 37 unique unique JJ 63372 2495 38 . . . 63372 2496 1 Its -PRON- PRP$ 63372 2496 2 unique unique JJ 63372 2496 3 and and CC 63372 2496 4 absolute absolute JJ 63372 2496 5 character character NN 63372 2496 6 give give VBP 63372 2496 7 it -PRON- PRP 63372 2496 8 great great JJ 63372 2496 9 importance importance NN 63372 2496 10 as as IN 63372 2496 11 thereby thereby RB 63372 2496 12 it -PRON- PRP 63372 2496 13 is be VBZ 63372 2496 14 the the DT 63372 2496 15 same same JJ 63372 2496 16 for for IN 63372 2496 17 all all DT 63372 2496 18 observers observer NNS 63372 2496 19 regardless regardless RB 63372 2496 20 of of IN 63372 2496 21 their -PRON- PRP$ 63372 2496 22 reference reference NN 63372 2496 23 system system NN 63372 2496 24 . . . 63372 2497 1 If if IN 63372 2497 2 , , , 63372 2497 3 in in IN 63372 2497 4 place place NN 63372 2497 5 of of IN 63372 2497 6 the the DT 63372 2497 7 rather rather RB 63372 2497 8 cumbersome cumbersome JJ 63372 2497 9 expression expression NN 63372 2497 10 $ $ $ 63372 2497 11 X x NN 63372 2497 12 - - NNS 63372 2497 13 x$ x$ NNP 63372 2497 14 to to TO 63372 2497 15 indicate indicate VB 63372 2497 16 the the DT 63372 2497 17 difference difference NN 63372 2497 18 between between IN 63372 2497 19 the the DT 63372 2497 20 $ $ $ 63372 2497 21 x$-coordinates x$-coordinate NNS 63372 2497 22 of of IN 63372 2497 23 two two CD 63372 2497 24 points point NNS 63372 2497 25 , , , 63372 2497 26 we -PRON- PRP 63372 2497 27 employ employ VBP 63372 2497 28 the the DT 63372 2497 29 more more RBR 63372 2497 30 compact compact JJ 63372 2497 31 expression expression NN 63372 2497 32 $ $ $ 63372 2497 33 dx$ dx$ CD 63372 2497 34 ; ; : 63372 2497 35 if if IN 63372 2497 36 for for IN 63372 2497 37 the the DT 63372 2497 38 benefit benefit NN 63372 2497 39 of of IN 63372 2497 40 readers reader NNS 63372 2497 41 who who WP 63372 2497 42 have have VBP 63372 2497 43 a a DT 63372 2497 44 little little JJ 63372 2497 45 algebra algebra NN 63372 2497 46 but but CC 63372 2497 47 no no DT 63372 2497 48 analysis analysis NN 63372 2497 49 we -PRON- PRP 63372 2497 50 state state VBP 63372 2497 51 explicitly explicitly RB 63372 2497 52 that that IN 63372 2497 53 this this DT 63372 2497 54 expression expression NN 63372 2497 55 is be VBZ 63372 2497 56 a a DT 63372 2497 57 single single JJ 63372 2497 58 symbol symbol NN 63372 2497 59 for for IN 63372 2497 60 a a DT 63372 2497 61 single single JJ 63372 2497 62 quantity quantity NN 63372 2497 63 , , , 63372 2497 64 and and CC 63372 2497 65 has have VBZ 63372 2497 66 nothing nothing NN 63372 2497 67 to to TO 63372 2497 68 do do VB 63372 2497 69 with with IN 63372 2497 70 any any DT 63372 2497 71 product product NN 63372 2497 72 of of IN 63372 2497 73 two two CD 63372 2497 74 quantities quantity NNS 63372 2497 75 $ $ $ 63372 2497 76 d$ d$ NNP 63372 2497 77 and and CC 63372 2497 78 $ $ $ 63372 2497 79 x$ x$ NNP 63372 2497 80 ; ; : 63372 2497 81 and and CC 63372 2497 82 if if IN 63372 2497 83 we -PRON- PRP 63372 2497 84 extend extend VBP 63372 2497 85 this this DT 63372 2497 86 notation notation NN 63372 2497 87 to to IN 63372 2497 88 all all DT 63372 2497 89 our -PRON- PRP$ 63372 2497 90 coordinates coordinate NNS 63372 2497 91 : : : 63372 2497 92 then then RB 63372 2497 93 it -PRON- PRP 63372 2497 94 is be VBZ 63372 2497 95 clear clear JJ 63372 2497 96 from from IN 63372 2497 97 previous previous JJ 63372 2497 98 essays essay NNS 63372 2497 99 that that IN 63372 2497 100 the the DT 63372 2497 101 distance distance NN 63372 2497 102 $ $ $ 63372 2497 103 S$ s$ CD 63372 2497 104 between between IN 63372 2497 105 two two CD 63372 2497 106 points point NNS 63372 2497 107 in in IN 63372 2497 108 a a DT 63372 2497 109 plane plane NN 63372 2497 110 referred refer VBD 63372 2497 111 to to IN 63372 2497 112 a a DT 63372 2497 113 rectilinear rectilinear JJ 63372 2497 114 system system NN 63372 2497 115 $ $ $ 63372 2497 116 OX$ ox$ CD 63372 2497 117 , , , 63372 2497 118 $ $ $ 63372 2497 119 OY$ oy$ CD 63372 2497 120 , , , 63372 2497 121 is be VBZ 63372 2497 122 given give VBN 63372 2497 123 by by IN 63372 2497 124 the the DT 63372 2497 125 simple simple JJ 63372 2497 126 equation equation NN 63372 2497 127 $ $ $ 63372 2497 128 S^2 S^2 NNP 63372 2497 129 = = NFP 63372 2497 130 ( ( -LRB- 63372 2497 131 dx)^2 dx)^2 NNP 63372 2497 132 + + CC 63372 2497 133 ( ( -LRB- 63372 2497 134 dy)^2$. dy)^2$. NN 63372 2498 1 Einstein Einstein NNP 63372 2498 2 and and CC 63372 2498 3 Minkowski Minkowski NNP 63372 2498 4 show show VBP 63372 2498 5 that that IN 63372 2498 6 the the DT 63372 2498 7 value value NN 63372 2498 8 for for IN 63372 2498 9 the the DT 63372 2498 10 separation separation NN 63372 2498 11 interval interval NN 63372 2498 12 $ $ $ 63372 2498 13 \Omega$ \Omega$ NNP 63372 2498 14 , , , 63372 2498 15 the the DT 63372 2498 16 analogue analogue NN 63372 2498 17 of of IN 63372 2498 18 $ $ $ 63372 2498 19 S$ s$ CD 63372 2498 20 , , , 63372 2498 21 referred refer VBN 63372 2498 22 to to IN 63372 2498 23 an an DT 63372 2498 24 inertial inertial JJ 63372 2498 25 system system NN 63372 2498 26 is be VBZ 63372 2498 27 given give VBN 63372 2498 28 by by IN 63372 2498 29 the the DT 63372 2498 30 equation equation NN 63372 2498 31 $ $ $ 63372 2498 32 $ $ $ 63372 2498 33 \Omega^2 \Omega^2 NNP 63372 2498 34 = = NFP 63372 2498 35 ( ( -LRB- 63372 2498 36 dx)^2 dx)^2 NNP 63372 2498 37 + + NFP 63372 2498 38 ( ( -LRB- 63372 2498 39 dy)^2 dy)^2 NNP 63372 2498 40 + + NFP 63372 2498 41 ( ( -LRB- 63372 2498 42 dz)^2 dz)^2 NNP 63372 2498 43 - - HYPH 63372 2498 44 ( ( -LRB- 63372 2498 45 dt)^2\,,$$ dt)^2\,,$$ NN 63372 2498 46 which which WDT 63372 2498 47 is be VBZ 63372 2498 48 seen see VBN 63372 2498 49 to to TO 63372 2498 50 be be VB 63372 2498 51 a a DT 63372 2498 52 modified modify VBN 63372 2498 53 extension extension NN 63372 2498 54 to to IN 63372 2498 55 four four CD 63372 2498 56 dimensions dimension NNS 63372 2498 57 of of IN 63372 2498 58 the the DT 63372 2498 59 equation equation NN 63372 2498 60 for for IN 63372 2498 61 $ $ $ 63372 2498 62 S$. s$. NN 63372 2499 1 We -PRON- PRP 63372 2499 2 must must MD 63372 2499 3 measure measure VB 63372 2499 4 $ $ $ 63372 2499 5 t$ t$ NNP 63372 2499 6 in in IN 63372 2499 7 the the DT 63372 2499 8 same same JJ 63372 2499 9 units unit NNS 63372 2499 10 as as IN 63372 2499 11 $ $ $ 63372 2499 12 x$ x$ NNP 63372 2499 13 , , , 63372 2499 14 $ $ $ 63372 2499 15 y$ y$ NNP 63372 2499 16 , , , 63372 2499 17 $ $ $ 63372 2499 18 z$. z$. CD 63372 2500 1 By by IN 63372 2500 2 taking take VBG 63372 2500 3 the the DT 63372 2500 4 constant constant JJ 63372 2500 5 velocity velocity NN 63372 2500 6 of of IN 63372 2500 7 light light NN 63372 2500 8 ( ( -LRB- 63372 2500 9 300,000 300,000 CD 63372 2500 10 kilometres kilometre NNS 63372 2500 11 per per IN 63372 2500 12 second second NN 63372 2500 13 ) ) -RRB- 63372 2500 14 as as IN 63372 2500 15 unit unit NN 63372 2500 16 velocity velocity NN 63372 2500 17 , , , 63372 2500 18 we -PRON- PRP 63372 2500 19 can can MD 63372 2500 20 measure measure VB 63372 2500 21 in in IN 63372 2500 22 length length NN 63372 2500 23 or or CC 63372 2500 24 time time NN 63372 2500 25 indiscriminately indiscriminately RB 63372 2500 26 . . . 63372 2501 1 [ [ -LRB- 63372 2501 2 8 8 CD 63372 2501 3 ] ] -RRB- 63372 2501 4 We -PRON- PRP 63372 2501 5 will will MD 63372 2501 6 analyse analyse VB 63372 2501 7 briefly briefly RB 63372 2501 8 this this DT 63372 2501 9 equation equation NN 63372 2501 10 as as IN 63372 2501 11 it -PRON- PRP 63372 2501 12 epitomizes epitomize VBZ 63372 2501 13 the the DT 63372 2501 14 Special Special NNP 63372 2501 15 Theory Theory NNP 63372 2501 16 of of IN 63372 2501 17 Relativity Relativity NNP 63372 2501 18 . . . 63372 2502 1 If if IN 63372 2502 2 the the DT 63372 2502 3 World World NNP 63372 2502 4 - - HYPH 63372 2502 5 Frame Frame NNP 63372 2502 6 had have VBD 63372 2502 7 been be VBN 63372 2502 8 Euclidean Euclidean NNP 63372 2502 9 the the DT 63372 2502 10 equation equation NN 63372 2502 11 would would MD 63372 2502 12 have have VB 63372 2502 13 been be VBN 63372 2502 14 $ $ $ 63372 2502 15 $ $ $ 63372 2502 16 \Omega^2 \Omega^2 NNP 63372 2502 17 = = NFP 63372 2502 18 ( ( -LRB- 63372 2502 19 dx)^2 dx)^2 NNP 63372 2502 20 + + NFP 63372 2502 21 ( ( -LRB- 63372 2502 22 dy)^2 dy)^2 NNP 63372 2502 23 + + NFP 63372 2502 24 ( ( -LRB- 63372 2502 25 dz)^2 dz)^2 NNP 63372 2502 26 + + NFP 63372 2502 27 ( ( -LRB- 63372 2502 28 dt)^2$$ dt)^2$$ NN 63372 2502 29 but but CC 63372 2502 30 this this DT 63372 2502 31 would would MD 63372 2502 32 not not RB 63372 2502 33 satisfy satisfy VB 63372 2502 34 the the DT 63372 2502 35 " " `` 63372 2502 36 transformation transformation NN 63372 2502 37 equations equation NNS 63372 2502 38 " " '' 63372 2502 39 which which WDT 63372 2502 40 resulted result VBD 63372 2502 41 from from IN 63372 2502 42 the the DT 63372 2502 43 Special Special NNP 63372 2502 44 Theory Theory NNP 63372 2502 45 . . . 63372 2503 1 These these DT 63372 2503 2 transformation transformation NN 63372 2503 3 equations equation NNS 63372 2503 4 arose arise VBD 63372 2503 5 directly directly RB 63372 2503 6 from from IN 63372 2503 7 a a DT 63372 2503 8 reconciliation reconciliation NN 63372 2503 9 between between IN 63372 2503 10 two two CD 63372 2503 11 observed observed JJ 63372 2503 12 facts fact NNS 63372 2503 13 ; ; : 63372 2503 14 ( ( -LRB- 63372 2503 15 a a LS 63372 2503 16 ) ) -RRB- 63372 2503 17 the the DT 63372 2503 18 observed observe VBN 63372 2503 19 agreement agreement NN 63372 2503 20 of of IN 63372 2503 21 all all DT 63372 2503 22 natural natural JJ 63372 2503 23 phenomena phenomenon NNS 63372 2503 24 with with IN 63372 2503 25 the the DT 63372 2503 26 " " `` 63372 2503 27 Restricted Restricted NNP 63372 2503 28 Principle Principle NNP 63372 2503 29 of of IN 63372 2503 30 Relativity"--a Relativity"--a NNP 63372 2503 31 principle principle NN 63372 2503 32 which which WDT 63372 2503 33 shows show VBZ 63372 2503 34 that that IN 63372 2503 35 absolute absolute JJ 63372 2503 36 rectilinear rectilinear JJ 63372 2503 37 motion motion NN 63372 2503 38 can can MD 63372 2503 39 not not RB 63372 2503 40 be be VB 63372 2503 41 established--(as established--(as NN 63372 2503 42 regards regard VBZ 63372 2503 43 mechanics mechanic NNS 63372 2503 44 this this DT 63372 2503 45 was be VBD 63372 2503 46 recognized recognize VBN 63372 2503 47 by by IN 63372 2503 48 Newton Newton NNP 63372 2503 49 ; ; : 63372 2503 50 the the DT 63372 2503 51 Michelson Michelson NNP 63372 2503 52 - - HYPH 63372 2503 53 Morley Morley NNP 63372 2503 54 and and CC 63372 2503 55 other other JJ 63372 2503 56 experiments experiment NNS 63372 2503 57 showed show VBD 63372 2503 58 this this DT 63372 2503 59 principle principle NN 63372 2503 60 also also RB 63372 2503 61 applied apply VBD 63372 2503 62 to to IN 63372 2503 63 optical optical JJ 63372 2503 64 and and CC 63372 2503 65 electro electro JJ 63372 2503 66 - - HYPH 63372 2503 67 dynamical dynamical JJ 63372 2503 68 phenomena phenomenon NNS 63372 2503 69 ) ) -RRB- 63372 2503 70 ; ; : 63372 2503 71 and and CC 63372 2503 72 ( ( -LRB- 63372 2503 73 b b NN 63372 2503 74 ) ) -RRB- 63372 2503 75 the the DT 63372 2503 76 observed observed JJ 63372 2503 77 disagreement disagreement NN 63372 2503 78 of of IN 63372 2503 79 optical optical JJ 63372 2503 80 and and CC 63372 2503 81 electro electro NNP 63372 2503 82 - - HYPH 63372 2503 83 dynamical dynamical JJ 63372 2503 84 phenomena phenomenon NNS 63372 2503 85 ( ( -LRB- 63372 2503 86 notably notably RB 63372 2503 87 the the DT 63372 2503 88 constancy constancy NN 63372 2503 89 of of IN 63372 2503 90 light light JJ 63372 2503 91 velocity velocity NN 63372 2503 92 ) ) -RRB- 63372 2503 93 with with IN 63372 2503 94 the the DT 63372 2503 95 laws law NNS 63372 2503 96 of of IN 63372 2503 97 dynamics dynamic NNS 63372 2503 98 as as IN 63372 2503 99 given give VBN 63372 2503 100 by by IN 63372 2503 101 classical classical JJ 63372 2503 102 mechanics mechanic NNS 63372 2503 103 , , , 63372 2503 104 e.g. e.g. RB 63372 2503 105 , , , 63372 2503 106 in in IN 63372 2503 107 regard regard NN 63372 2503 108 to to IN 63372 2503 109 the the DT 63372 2503 110 compounding compounding NN 63372 2503 111 of of IN 63372 2503 112 relative relative JJ 63372 2503 113 velocities velocity NNS 63372 2503 114 . . . 63372 2504 1 Einstein Einstein NNP 63372 2504 2 effected effect VBD 63372 2504 3 this this DT 63372 2504 4 reconciliation reconciliation NN 63372 2504 5 by by IN 63372 2504 6 detecting detect VBG 63372 2504 7 a a DT 63372 2504 8 flaw flaw NN 63372 2504 9 in in IN 63372 2504 10 classical classical JJ 63372 2504 11 mechanics mechanic NNS 63372 2504 12 . . . 63372 2505 1 He -PRON- PRP 63372 2505 2 showed show VBD 63372 2505 3 that that IN 63372 2505 4 by by IN 63372 2505 5 regarding regard VBG 63372 2505 6 space space NN 63372 2505 7 and and CC 63372 2505 8 time time NN 63372 2505 9 measurements measurement NNS 63372 2505 10 as as RB 63372 2505 11 relative relative JJ 63372 2505 12 to to IN 63372 2505 13 the the DT 63372 2505 14 observer observer NN 63372 2505 15 -- -- : 63372 2505 16 not not RB 63372 2505 17 absolute absolute JJ 63372 2505 18 as as IN 63372 2505 19 Newton Newton NNP 63372 2505 20 defined define VBD 63372 2505 21 them -PRON- PRP 63372 2505 22 -- -- : 63372 2505 23 there there EX 63372 2505 24 was be VBD 63372 2505 25 nothing nothing NN 63372 2505 26 incompatible incompatible JJ 63372 2505 27 between between IN 63372 2505 28 the the DT 63372 2505 29 Principle Principle NNP 63372 2505 30 of of IN 63372 2505 31 Relativity Relativity NNP 63372 2505 32 and and CC 63372 2505 33 the the DT 63372 2505 34 laws law NNS 63372 2505 35 of of IN 63372 2505 36 dynamics dynamic NNS 63372 2505 37 so so RB 63372 2505 38 modified modified JJ 63372 2505 39 . . . 63372 2506 1 Newton Newton NNP 63372 2506 2 's 's POS 63372 2506 3 definitions definition NNS 63372 2506 4 were be VBD 63372 2506 5 founded found VBN 63372 2506 6 on on IN 63372 2506 7 conception conception NN 63372 2506 8 . . . 63372 2507 1 Einstein Einstein NNP 63372 2507 2 's 's POS 63372 2507 3 recognition recognition NN 63372 2507 4 of of IN 63372 2507 5 the the DT 63372 2507 6 relativity relativity NN 63372 2507 7 of of IN 63372 2507 8 space space NN 63372 2507 9 and and CC 63372 2507 10 time time NN 63372 2507 11 is be VBZ 63372 2507 12 based base VBN 63372 2507 13 on on IN 63372 2507 14 observation observation NN 63372 2507 15 . . . 63372 2508 1 Equation equation NN 63372 2508 2 ( ( -LRB- 63372 2508 3 1 1 LS 63372 2508 4 ) ) -RRB- 63372 2508 5 shows show VBZ 63372 2508 6 that that IN 63372 2508 7 the the DT 63372 2508 8 geometry geometry NN 63372 2508 9 of of IN 63372 2508 10 the the DT 63372 2508 11 World World NNP 63372 2508 12 - - HYPH 63372 2508 13 Frame Frame NNP 63372 2508 14 referred refer VBD 63372 2508 15 to to IN 63372 2508 16 an an DT 63372 2508 17 inertial inertial JJ 63372 2508 18 system system NN 63372 2508 19 is be VBZ 63372 2508 20 semi semi JJ 63372 2508 21 - - JJ 63372 2508 22 Euclidean euclidean JJ 63372 2508 23 ( ( -LRB- 63372 2508 24 hyperbolic hyperbolic JJ 63372 2508 25 ) ) -RRB- 63372 2508 26 , , , 63372 2508 27 and and CC 63372 2508 28 that that DT 63372 2508 29 space space NN 63372 2508 30 and and CC 63372 2508 31 time time NN 63372 2508 32 measurements measurement NNS 63372 2508 33 are be VBP 63372 2508 34 relative relative JJ 63372 2508 35 to to IN 63372 2508 36 the the DT 63372 2508 37 observer observer NN 63372 2508 38 's 's POS 63372 2508 39 inertial inertial JJ 63372 2508 40 reference reference NN 63372 2508 41 system system NN 63372 2508 42 . . . 63372 2509 1 The the DT 63372 2509 2 equation equation NN 63372 2509 3 shows show VBZ 63372 2509 4 that that IN 63372 2509 5 the the DT 63372 2509 6 World World NNP 63372 2509 7 - - HYPH 63372 2509 8 Frame Frame NNP 63372 2509 9 has have VBZ 63372 2509 10 a a DT 63372 2509 11 certain certain JJ 63372 2509 12 geometrical geometrical JJ 63372 2509 13 character character NN 63372 2509 14 which which WDT 63372 2509 15 we -PRON- PRP 63372 2509 16 distinguish distinguish VBP 63372 2509 17 as as IN 63372 2509 18 four four CD 63372 2509 19 - - HYPH 63372 2509 20 dimensional dimensional JJ 63372 2509 21 " " `` 63372 2509 22 flatness flatness NN 63372 2509 23 . . . 63372 2509 24 " " '' 63372 2510 1 It -PRON- PRP 63372 2510 2 is be VBZ 63372 2510 3 everywhere everywhere RB 63372 2510 4 alike alike JJ 63372 2510 5 ( ( -LRB- 63372 2510 6 homaloidal homaloidal NN 63372 2510 7 ) ) -RRB- 63372 2510 8 . . . 63372 2511 1 Its -PRON- PRP$ 63372 2511 2 flat flat JJ 63372 2511 3 character character NN 63372 2511 4 is be VBZ 63372 2511 5 shown show VBN 63372 2511 6 by by IN 63372 2511 7 the the DT 63372 2511 8 straight straight JJ 63372 2511 9 line line NN 63372 2511 10 nature nature NN 63372 2511 11 of of IN 63372 2511 12 the the DT 63372 2511 13 separation separation NN 63372 2511 14 - - HYPH 63372 2511 15 interval interval NN 63372 2511 16 and and CC 63372 2511 17 of of IN 63372 2511 18 the the DT 63372 2511 19 system system NN 63372 2511 20 to to TO 63372 2511 21 which which WDT 63372 2511 22 it -PRON- PRP 63372 2511 23 is be VBZ 63372 2511 24 most most RBS 63372 2511 25 simply simply RB 63372 2511 26 referred refer VBN 63372 2511 27 . . . 63372 2512 1 Thus thus RB 63372 2512 2 we -PRON- PRP 63372 2512 3 have have VBP 63372 2512 4 found find VBN 63372 2512 5 two two CD 63372 2512 6 absolute absolute JJ 63372 2512 7 features feature NNS 63372 2512 8 in in IN 63372 2512 9 the the DT 63372 2512 10 World World NNP 63372 2512 11 - - HYPH 63372 2512 12 Frame--(1 Frame--(1 NNP 63372 2512 13 ) ) -RRB- 63372 2512 14 Its -PRON- PRP$ 63372 2512 15 geometrical geometrical JJ 63372 2512 16 character--"flatness character--"flatness : 63372 2512 17 " " '' 63372 2512 18 ; ; , 63372 2512 19 ( ( -LRB- 63372 2512 20 2 2 LS 63372 2512 21 ) ) -RRB- 63372 2512 22 The the DT 63372 2512 23 separation separation NN 63372 2512 24 - - HYPH 63372 2512 25 interval interval NN 63372 2512 26 -- -- : 63372 2512 27 which which WDT 63372 2512 28 can can MD 63372 2512 29 be be VB 63372 2512 30 expressed express VBN 63372 2512 31 in in IN 63372 2512 32 terms term NNS 63372 2512 33 of of IN 63372 2512 34 measurable measurable JJ 63372 2512 35 variables variable NNS 63372 2512 36 called call VBN 63372 2512 37 space space NN 63372 2512 38 and and CC 63372 2512 39 time time NN 63372 2512 40 partitions partition NNS 63372 2512 41 , , , 63372 2512 42 this this DT 63372 2512 43 partitioning partitioning NN 63372 2512 44 being be VBG 63372 2512 45 dependent dependent JJ 63372 2512 46 on on IN 63372 2512 47 the the DT 63372 2512 48 observer observer NN 63372 2512 49 's 's POS 63372 2512 50 motion motion NN 63372 2512 51 . . . 63372 2513 1 We -PRON- PRP 63372 2513 2 are be VBP 63372 2513 3 now now RB 63372 2513 4 in in IN 63372 2513 5 a a DT 63372 2513 6 position position NN 63372 2513 7 to to TO 63372 2513 8 explore explore VB 63372 2513 9 the the DT 63372 2513 10 World World NNP 63372 2513 11 - - HYPH 63372 2513 12 Fabric Fabric NNP 63372 2513 13 . . . 63372 2514 1 Already already RB 63372 2514 2 we -PRON- PRP 63372 2514 3 see see VBP 63372 2514 4 that that IN 63372 2514 5 , , , 63372 2514 6 studied study VBN 63372 2514 7 under under IN 63372 2514 8 inertial inertial JJ 63372 2514 9 conditions condition NNS 63372 2514 10 ( ( -LRB- 63372 2514 11 free free JJ 63372 2514 12 of of IN 63372 2514 13 force force NN 63372 2514 14 ) ) -RRB- 63372 2514 15 , , , 63372 2514 16 it -PRON- PRP 63372 2514 17 agrees agree VBZ 63372 2514 18 with with IN 63372 2514 19 the the DT 63372 2514 20 World World NNP 63372 2514 21 - - HYPH 63372 2514 22 Frame Frame NNP 63372 2514 23 . . . 63372 2515 1 THE the DT 63372 2515 2 WORLD world NN 63372 2515 3 - - : 63372 2515 4 FABRIC FABRIC NNP 63372 2515 5 The the DT 63372 2515 6 General General NNP 63372 2515 7 Theory Theory NNP 63372 2515 8 of of IN 63372 2515 9 relativity relativity NN 63372 2515 10 is be VBZ 63372 2515 11 largely largely RB 63372 2515 12 concerned concerned JJ 63372 2515 13 with with IN 63372 2515 14 the the DT 63372 2515 15 investigation investigation NN 63372 2515 16 of of IN 63372 2515 17 the the DT 63372 2515 18 World World NNP 63372 2515 19 - - HYPH 63372 2515 20 Fabric Fabric NNP 63372 2515 21 . . . 63372 2516 1 Consider consider VB 63372 2516 2 the the DT 63372 2516 3 World World NNP 63372 2516 4 - - HYPH 63372 2516 5 Frame Frame NNP 63372 2516 6 to to TO 63372 2516 7 be be VB 63372 2516 8 disturbed disturb VBN 63372 2516 9 . . . 63372 2517 1 We -PRON- PRP 63372 2517 2 may may MD 63372 2517 3 regard regard VB 63372 2517 4 this this DT 63372 2517 5 disturbance disturbance NN 63372 2517 6 , , , 63372 2517 7 which which WDT 63372 2517 8 manifests manifest VBZ 63372 2517 9 itself -PRON- PRP 63372 2517 10 in in IN 63372 2517 11 physical physical JJ 63372 2517 12 phenomena phenomenon NNS 63372 2517 13 , , , 63372 2517 14 as as IN 63372 2517 15 energy energy NN 63372 2517 16 , , , 63372 2517 17 or or CC 63372 2517 18 more more RBR 63372 2517 19 correctly correctly RB 63372 2517 20 " " '' 63372 2517 21 action action NN 63372 2517 22 . . . 63372 2517 23 " " '' 63372 2518 1 When when WRB 63372 2518 2 energy energy NN 63372 2518 3 is be VBZ 63372 2518 4 thwarted thwart VBN 63372 2518 5 in in IN 63372 2518 6 its -PRON- PRP$ 63372 2518 7 natural natural JJ 63372 2518 8 flow flow NN 63372 2518 9 , , , 63372 2518 10 force force NN 63372 2518 11 is be VBZ 63372 2518 12 manifested manifest VBN 63372 2518 13 , , , 63372 2518 14 with with IN 63372 2518 15 which which WDT 63372 2518 16 are be VBP 63372 2518 17 associated associate VBN 63372 2518 18 non non JJ 63372 2518 19 - - JJ 63372 2518 20 uniform uniform JJ 63372 2518 21 motions motion NNS 63372 2518 22 such such JJ 63372 2518 23 as as IN 63372 2518 24 accelerations acceleration NNS 63372 2518 25 and and CC 63372 2518 26 rotations rotation NNS 63372 2518 27 . . . 63372 2519 1 This this DT 63372 2519 2 disturbed disturbed JJ 63372 2519 3 World World NNP 63372 2519 4 - - HYPH 63372 2519 5 Frame Frame NNP 63372 2519 6 we -PRON- PRP 63372 2519 7 distinguish distinguish VBP 63372 2519 8 as as IN 63372 2519 9 the the DT 63372 2519 10 World World NNP 63372 2519 11 - - HYPH 63372 2519 12 Fabric Fabric NNP 63372 2519 13 . . . 63372 2520 1 It -PRON- PRP 63372 2520 2 is be VBZ 63372 2520 3 found find VBN 63372 2520 4 to to TO 63372 2520 5 have have VB 63372 2520 6 various various JJ 63372 2520 7 non non JJ 63372 2520 8 - - JJ 63372 2520 9 Euclidean euclidean JJ 63372 2520 10 characters character NNS 63372 2520 11 differing differ VBG 63372 2520 12 from from IN 63372 2520 13 the the DT 63372 2520 14 simple simple JJ 63372 2520 15 " " `` 63372 2520 16 flat flat JJ 63372 2520 17 " " '' 63372 2520 18 character character NN 63372 2520 19 of of IN 63372 2520 20 the the DT 63372 2520 21 World World NNP 63372 2520 22 - - HYPH 63372 2520 23 Frame Frame NNP 63372 2520 24 according accord VBG 63372 2520 25 to to IN 63372 2520 26 the the DT 63372 2520 27 degree degree NN 63372 2520 28 of of IN 63372 2520 29 disturbance disturbance NN 63372 2520 30 ( ( -LRB- 63372 2520 31 action action NN 63372 2520 32 ) ) -RRB- 63372 2520 33 in in IN 63372 2520 34 the the DT 63372 2520 35 region region NN 63372 2520 36 . . . 63372 2521 1 Disturbance disturbance NN 63372 2521 2 gives give VBZ 63372 2521 3 the the DT 63372 2521 4 fabric fabric NN 63372 2521 5 a a DT 63372 2521 6 geometrical geometrical JJ 63372 2521 7 character character NN 63372 2521 8 of of IN 63372 2521 9 " " `` 63372 2521 10 curvature curvature JJ 63372 2521 11 " " '' 63372 2521 12 ; ; : 63372 2521 13 the the DT 63372 2521 14 more more RBR 63372 2521 15 considerable considerable JJ 63372 2521 16 the the DT 63372 2521 17 disturbance disturbance NN 63372 2521 18 , , , 63372 2521 19 the the DT 63372 2521 20 greater great JJR 63372 2521 21 the the DT 63372 2521 22 curvature curvature NN 63372 2521 23 . . . 63372 2522 1 Thus thus RB 63372 2522 2 an an DT 63372 2522 3 empty empty JJ 63372 2522 4 region region NN 63372 2522 5 ( ( -LRB- 63372 2522 6 not not RB 63372 2522 7 containing contain VBG 63372 2522 8 energy energy NN 63372 2522 9 , , , 63372 2522 10 but but CC 63372 2522 11 under under IN 63372 2522 12 its -PRON- PRP$ 63372 2522 13 influence influence NN 63372 2522 14 ) ) -RRB- 63372 2522 15 has have VBZ 63372 2522 16 less less RBR 63372 2522 17 curvature curvature JJ 63372 2522 18 than than IN 63372 2522 19 a a DT 63372 2522 20 region region NN 63372 2522 21 in in IN 63372 2522 22 which which WDT 63372 2522 23 free free JJ 63372 2522 24 energy energy NN 63372 2522 25 abounds abound NNS 63372 2522 26 . . . 63372 2523 1 Our -PRON- PRP$ 63372 2523 2 problem problem NN 63372 2523 3 , , , 63372 2523 4 after after IN 63372 2523 5 showing show VBG 63372 2523 6 the the DT 63372 2523 7 relativity relativity NN 63372 2523 8 of of IN 63372 2523 9 force force NN 63372 2523 10 ( ( -LRB- 63372 2523 11 especially especially RB 63372 2523 12 gravitational gravitational JJ 63372 2523 13 force force NN 63372 2523 14 ) ) -RRB- 63372 2523 15 , , , 63372 2523 16 is be VBZ 63372 2523 17 to to TO 63372 2523 18 determine determine VB 63372 2523 19 the the DT 63372 2523 20 law law NN 63372 2523 21 underlying underlie VBG 63372 2523 22 the the DT 63372 2523 23 fabric fabric NN 63372 2523 24 's 's POS 63372 2523 25 geometrical geometrical JJ 63372 2523 26 character character NN 63372 2523 27 ; ; , 63372 2523 28 to to TO 63372 2523 29 ascertain ascertain VB 63372 2523 30 how how WRB 63372 2523 31 the the DT 63372 2523 32 degree degree NN 63372 2523 33 of of IN 63372 2523 34 curvature curvature NN 63372 2523 35 is be VBZ 63372 2523 36 related relate VBN 63372 2523 37 to to IN 63372 2523 38 the the DT 63372 2523 39 energy energy NN 63372 2523 40 influencing influence VBG 63372 2523 41 a a DT 63372 2523 42 region region NN 63372 2523 43 , , , 63372 2523 44 and and CC 63372 2523 45 how how WRB 63372 2523 46 the the DT 63372 2523 47 curvature curvature NN 63372 2523 48 of of IN 63372 2523 49 one one CD 63372 2523 50 region region NN 63372 2523 51 is be VBZ 63372 2523 52 linked link VBN 63372 2523 53 by by IN 63372 2523 54 differential differential JJ 63372 2523 55 equations equation NNS 63372 2523 56 to to IN 63372 2523 57 that that DT 63372 2523 58 of of IN 63372 2523 59 neighboring neighboring NN 63372 2523 60 regions region NNS 63372 2523 61 . . . 63372 2524 1 Such such PDT 63372 2524 2 a a DT 63372 2524 3 law law NN 63372 2524 4 will will MD 63372 2524 5 be be VB 63372 2524 6 seen see VBN 63372 2524 7 to to TO 63372 2524 8 be be VB 63372 2524 9 the the DT 63372 2524 10 law law NN 63372 2524 11 of of IN 63372 2524 12 gravitation gravitation NN 63372 2524 13 . . . 63372 2525 1 We -PRON- PRP 63372 2525 2 study study VBP 63372 2525 3 the the DT 63372 2525 4 World World NNP 63372 2525 5 - - HYPH 63372 2525 6 Fabric Fabric NNP 63372 2525 7 by by IN 63372 2525 8 considering consider VBG 63372 2525 9 tracks track NNS 63372 2525 10 on on IN 63372 2525 11 which which WDT 63372 2525 12 material material NN 63372 2525 13 particles particle NNS 63372 2525 14 and and CC 63372 2525 15 light light NN 63372 2525 16 - - HYPH 63372 2525 17 pulses pulse NNS 63372 2525 18 progress progress NN 63372 2525 19 ; ; : 63372 2525 20 we -PRON- PRP 63372 2525 21 find find VBP 63372 2525 22 such such JJ 63372 2525 23 tracks track NNS 63372 2525 24 regulated regulate VBN 63372 2525 25 and and CC 63372 2525 26 defined define VBN 63372 2525 27 by by IN 63372 2525 28 the the DT 63372 2525 29 Fabric Fabric NNP 63372 2525 30 's 's POS 63372 2525 31 curvature curvature NN 63372 2525 32 , , , 63372 2525 33 and and CC 63372 2525 34 not not RB 63372 2525 35 , , , 63372 2525 36 as as IN 63372 2525 37 hitherto hitherto NNP 63372 2525 38 supposed suppose VBD 63372 2525 39 , , , 63372 2525 40 by by IN 63372 2525 41 attractive attractive JJ 63372 2525 42 force force NN 63372 2525 43 inherent inherent JJ 63372 2525 44 in in IN 63372 2525 45 matter matter NN 63372 2525 46 . . . 63372 2526 1 As as IN 63372 2526 2 a a DT 63372 2526 3 track track NN 63372 2526 4 is be VBZ 63372 2526 5 measurable measurable JJ 63372 2526 6 by by IN 63372 2526 7 summing sum VBG 63372 2526 8 the the DT 63372 2526 9 separation separation NN 63372 2526 10 - - HYPH 63372 2526 11 intervals interval NNS 63372 2526 12 between between IN 63372 2526 13 near near IN 63372 2526 14 - - HYPH 63372 2526 15 by by IN 63372 2526 16 point point NN 63372 2526 17 - - HYPH 63372 2526 18 events event NNS 63372 2526 19 on on IN 63372 2526 20 it -PRON- PRP 63372 2526 21 , , , 63372 2526 22 all all DT 63372 2526 23 observers observer NNS 63372 2526 24 will will MD 63372 2526 25 agree agree VB 63372 2526 26 which which WDT 63372 2526 27 is be VBZ 63372 2526 28 the the DT 63372 2526 29 unique unique JJ 63372 2526 30 track track NN 63372 2526 31 between between IN 63372 2526 32 two two CD 63372 2526 33 distant distant JJ 63372 2526 34 point point NN 63372 2526 35 - - HYPH 63372 2526 36 events event NNS 63372 2526 37 . . . 63372 2527 1 Einstein Einstein NNP 63372 2527 2 postulates postulate VBZ 63372 2527 3 that that IN 63372 2527 4 freely freely RB 63372 2527 5 progressing progress VBG 63372 2527 6 bodies body NNS 63372 2527 7 will will MD 63372 2527 8 follow follow VB 63372 2527 9 unique unique JJ 63372 2527 10 tracks track NNS 63372 2527 11 , , , 63372 2527 12 which which WDT 63372 2527 13 are be VBP 63372 2527 14 therefore therefore RB 63372 2527 15 called call VBN 63372 2527 16 natural natural JJ 63372 2527 17 tracks track NNS 63372 2527 18 ( ( -LRB- 63372 2527 19 geodesics geodesic NNS 63372 2527 20 ) ) -RRB- 63372 2527 21 . . . 63372 2528 1 If if IN 63372 2528 2 material material JJ 63372 2528 3 bodies body NNS 63372 2528 4 are be VBP 63372 2528 5 prevented prevent VBN 63372 2528 6 from from IN 63372 2528 7 following follow VBG 63372 2528 8 natural natural JJ 63372 2528 9 tracks track NNS 63372 2528 10 by by IN 63372 2528 11 contact contact NN 63372 2528 12 with with IN 63372 2528 13 matter matter NN 63372 2528 14 or or CC 63372 2528 15 other other JJ 63372 2528 16 causes cause NNS 63372 2528 17 , , , 63372 2528 18 the the DT 63372 2528 19 phenomenon phenomenon NN 63372 2528 20 of of IN 63372 2528 21 gravitational gravitational JJ 63372 2528 22 force force NN 63372 2528 23 is be VBZ 63372 2528 24 manifested manifest VBN 63372 2528 25 relative relative JJ 63372 2528 26 to to IN 63372 2528 27 them -PRON- PRP 63372 2528 28 . . . 63372 2529 1 Whenever whenever WRB 63372 2529 2 the the DT 63372 2529 3 natural natural JJ 63372 2529 4 flow flow NN 63372 2529 5 of of IN 63372 2529 6 energy energy NN 63372 2529 7 is be VBZ 63372 2529 8 interrupted interrupted JJ 63372 2529 9 force force NN 63372 2529 10 is be VBZ 63372 2529 11 born bear VBN 63372 2529 12 . . . 63372 2530 1 For for IN 63372 2530 2 example example NN 63372 2530 3 , , , 63372 2530 4 when when WRB 63372 2530 5 the the DT 63372 2530 6 piston piston NN 63372 2530 7 interrupts interrupt VBZ 63372 2530 8 the the DT 63372 2530 9 flow flow NN 63372 2530 10 of of IN 63372 2530 11 steam steam NN 63372 2530 12 , , , 63372 2530 13 or or CC 63372 2530 14 golf golf NN 63372 2530 15 ball ball NN 63372 2530 16 flow flow NN 63372 2530 17 of of IN 63372 2530 18 club club NN 63372 2530 19 , , , 63372 2530 20 force force NN 63372 2530 21 results result NNS 63372 2530 22 -- -- : 63372 2530 23 the the DT 63372 2530 24 interruption interruption NN 63372 2530 25 is be VBZ 63372 2530 26 mutual mutual JJ 63372 2530 27 , , , 63372 2530 28 and and CC 63372 2530 29 the the DT 63372 2530 30 force force NN 63372 2530 31 relative relative JJ 63372 2530 32 to to IN 63372 2530 33 both both DT 63372 2530 34 . . . 63372 2531 1 Likewise likewise RB 63372 2531 2 when when WRB 63372 2531 3 the the DT 63372 2531 4 earth earth NN 63372 2531 5 interrupts interrupt VBZ 63372 2531 6 the the DT 63372 2531 7 natural natural JJ 63372 2531 8 track track NN 63372 2531 9 of of IN 63372 2531 10 a a DT 63372 2531 11 particle particle NN 63372 2531 12 ( ( -LRB- 63372 2531 13 or or CC 63372 2531 14 observer observer NN 63372 2531 15 ) ) -RRB- 63372 2531 16 gravitational gravitational JJ 63372 2531 17 force force NN 63372 2531 18 is be VBZ 63372 2531 19 manifested manifest VBN 63372 2531 20 relative relative JJ 63372 2531 21 to to IN 63372 2531 22 both both DT 63372 2531 23 . . . 63372 2532 1 So so RB 63372 2532 2 long long RB 63372 2532 3 as as IN 63372 2532 4 a a DT 63372 2532 5 body body NN 63372 2532 6 moves move VBZ 63372 2532 7 freely freely RB 63372 2532 8 no no DT 63372 2532 9 force force NN 63372 2532 10 is be VBZ 63372 2532 11 appreciated appreciate VBN 63372 2532 12 by by IN 63372 2532 13 it -PRON- PRP 63372 2532 14 . . . 63372 2533 1 A a DT 63372 2533 2 falling fall VBG 63372 2533 3 aviator aviator NN 63372 2533 4 ( ( -LRB- 63372 2533 5 neglecting neglect VBG 63372 2533 6 air air NN 63372 2533 7 resistance resistance NN 63372 2533 8 ) ) -RRB- 63372 2533 9 will will MD 63372 2533 10 not not RB 63372 2533 11 appreciate appreciate VB 63372 2533 12 any any DT 63372 2533 13 gravitational gravitational JJ 63372 2533 14 force force NN 63372 2533 15 . . . 63372 2534 1 He -PRON- PRP 63372 2534 2 follows follow VBZ 63372 2534 3 a a DT 63372 2534 4 natural natural JJ 63372 2534 5 track track NN 63372 2534 6 , , , 63372 2534 7 thereby thereby RB 63372 2534 8 freeing free VBG 63372 2534 9 himself -PRON- PRP 63372 2534 10 from from IN 63372 2534 11 the the DT 63372 2534 12 force force NN 63372 2534 13 experienced experience VBN 63372 2534 14 in in IN 63372 2534 15 contact contact NN 63372 2534 16 with with IN 63372 2534 17 matter matter NN 63372 2534 18 . . . 63372 2535 1 He -PRON- PRP 63372 2535 2 acquires acquire VBZ 63372 2535 3 an an DT 63372 2535 4 accelerating accelerate VBG 63372 2535 5 motion motion NN 63372 2535 6 with with IN 63372 2535 7 respect respect NN 63372 2535 8 to to IN 63372 2535 9 an an DT 63372 2535 10 inertial inertial JJ 63372 2535 11 system system NN 63372 2535 12 . . . 63372 2536 1 By by IN 63372 2536 2 acquiring acquire VBG 63372 2536 3 a a DT 63372 2536 4 particular particular JJ 63372 2536 5 accelerating accelerating NN 63372 2536 6 motion motion NN 63372 2536 7 an an DT 63372 2536 8 observer observer NN 63372 2536 9 can can MD 63372 2536 10 annul annul VB 63372 2536 11 any any DT 63372 2536 12 force force NN 63372 2536 13 experienced experience VBN 63372 2536 14 in in IN 63372 2536 15 any any DT 63372 2536 16 small small JJ 63372 2536 17 region region NN 63372 2536 18 where where WRB 63372 2536 19 the the DT 63372 2536 20 field field NN 63372 2536 21 of of IN 63372 2536 22 force force NN 63372 2536 23 can can MD 63372 2536 24 be be VB 63372 2536 25 considered consider VBN 63372 2536 26 constant constant JJ 63372 2536 27 . . . 63372 2537 1 Thus thus RB 63372 2537 2 Einstein Einstein NNP 63372 2537 3 , , , 63372 2537 4 interpreting interpret VBG 63372 2537 5 the the DT 63372 2537 6 equality equality NN 63372 2537 7 of of IN 63372 2537 8 gravitational gravitational JJ 63372 2537 9 and and CC 63372 2537 10 inertial inertial NNP 63372 2537 11 mass mass NNP 63372 2537 12 , , , 63372 2537 13 showed show VBD 63372 2537 14 that that IN 63372 2537 15 the the DT 63372 2537 16 same same JJ 63372 2537 17 quality quality NN 63372 2537 18 manifests manifest VBZ 63372 2537 19 itself -PRON- PRP 63372 2537 20 according accord VBG 63372 2537 21 to to IN 63372 2537 22 circumstances circumstance NNS 63372 2537 23 as as IN 63372 2537 24 " " `` 63372 2537 25 weight weight NN 63372 2537 26 " " '' 63372 2537 27 or or CC 63372 2537 28 as as IN 63372 2537 29 inertia inertia NN 63372 2537 30 , , , 63372 2537 31 and and CC 63372 2537 32 that that IN 63372 2537 33 all all DT 63372 2537 34 force force NN 63372 2537 35 is be VBZ 63372 2537 36 purely purely RB 63372 2537 37 relative relative JJ 63372 2537 38 and and CC 63372 2537 39 may may MD 63372 2537 40 be be VB 63372 2537 41 treated treat VBN 63372 2537 42 as as IN 63372 2537 43 one one CD 63372 2537 44 phenomenon phenomenon NN 63372 2537 45 ( ( -LRB- 63372 2537 46 an an DT 63372 2537 47 interruption interruption NN 63372 2537 48 in in IN 63372 2537 49 energy energy NN 63372 2537 50 flow flow NN 63372 2537 51 ) ) -RRB- 63372 2537 52 . . . 63372 2538 1 This this DT 63372 2538 2 " " `` 63372 2538 3 Principle Principle NNP 63372 2538 4 of of IN 63372 2538 5 Equivalence Equivalence NNP 63372 2538 6 " " '' 63372 2538 7 shows show VBZ 63372 2538 8 that that IN 63372 2538 9 small small JJ 63372 2538 10 portions portion NNS 63372 2538 11 of of IN 63372 2538 12 the the DT 63372 2538 13 World World NNP 63372 2538 14 - - HYPH 63372 2538 15 Fabric Fabric NNP 63372 2538 16 , , , 63372 2538 17 observed observe VBN 63372 2538 18 from from IN 63372 2538 19 a a DT 63372 2538 20 freely freely RB 63372 2538 21 moving move VBG 63372 2538 22 particle particle NN 63372 2538 23 ( ( -LRB- 63372 2538 24 free free JJ 63372 2538 25 of of IN 63372 2538 26 force force NN 63372 2538 27 ) ) -RRB- 63372 2538 28 , , , 63372 2538 29 could could MD 63372 2538 30 be be VB 63372 2538 31 treated treat VBN 63372 2538 32 as as IN 63372 2538 33 small small JJ 63372 2538 34 portions portion NNS 63372 2538 35 of of IN 63372 2538 36 the the DT 63372 2538 37 World World NNP 63372 2538 38 - - HYPH 63372 2538 39 Frame Frame NNP 63372 2538 40 . . . 63372 2539 1 [ [ -LRB- 63372 2539 2 9 9 CD 63372 2539 3 ] ] -RRB- 63372 2539 4 If if IN 63372 2539 5 such such JJ 63372 2539 6 observations observation NNS 63372 2539 7 were be VBD 63372 2539 8 practicable practicable JJ 63372 2539 9 , , , 63372 2539 10 we -PRON- PRP 63372 2539 11 could could MD 63372 2539 12 determine determine VB 63372 2539 13 the the DT 63372 2539 14 Fabric Fabric NNP 63372 2539 15 curvature curvature NN 63372 2539 16 by by IN 63372 2539 17 referring refer VBG 63372 2539 18 point point NN 63372 2539 19 - - HYPH 63372 2539 20 event event NN 63372 2539 21 measurements measurement NNS 63372 2539 22 to to IN 63372 2539 23 equation equation NN 63372 2539 24 ( ( -LRB- 63372 2539 25 1 1 CD 63372 2539 26 ) ) -RRB- 63372 2539 27 . . . 63372 2540 1 We -PRON- PRP 63372 2540 2 can can MD 63372 2540 3 not not RB 63372 2540 4 observe observe VB 63372 2540 5 from from IN 63372 2540 6 unique unique JJ 63372 2540 7 tracks track NNS 63372 2540 8 but but CC 63372 2540 9 we -PRON- PRP 63372 2540 10 can can MD 63372 2540 11 observe observe VB 63372 2540 12 them -PRON- PRP 63372 2540 13 from from IN 63372 2540 14 our -PRON- PRP$ 63372 2540 15 restrained restrained JJ 63372 2540 16 situation situation NN 63372 2540 17 . . . 63372 2541 1 Their -PRON- PRP$ 63372 2541 2 importance importance NN 63372 2541 3 is be VBZ 63372 2541 4 now now RB 63372 2541 5 apparent apparent JJ 63372 2541 6 , , , 63372 2541 7 because because IN 63372 2541 8 , , , 63372 2541 9 by by IN 63372 2541 10 tracing trace VBG 63372 2541 11 them -PRON- PRP 63372 2541 12 over over IN 63372 2541 13 a a DT 63372 2541 14 region region NN 63372 2541 15 , , , 63372 2541 16 we -PRON- PRP 63372 2541 17 are be VBP 63372 2541 18 tracing trace VBG 63372 2541 19 something something NN 63372 2541 20 absolute absolute JJ 63372 2541 21 in in IN 63372 2541 22 the the DT 63372 2541 23 Fabric Fabric NNP 63372 2541 24 -- -- : 63372 2541 25 its -PRON- PRP$ 63372 2541 26 geometrical geometrical JJ 63372 2541 27 character character NN 63372 2541 28 . . . 63372 2542 1 We -PRON- PRP 63372 2542 2 study study VBP 63372 2542 3 this this DT 63372 2542 4 curvature curvature JJ 63372 2542 5 by by IN 63372 2542 6 exploring explore VBG 63372 2542 7 separation separation NN 63372 2542 8 - - HYPH 63372 2542 9 intervals interval NNS 63372 2542 10 on on IN 63372 2542 11 the the DT 63372 2542 12 tracks track NNS 63372 2542 13 of of IN 63372 2542 14 freely freely RB 63372 2542 15 moving move VBG 63372 2542 16 bodies body NNS 63372 2542 17 , , , 63372 2542 18 relating relate VBG 63372 2542 19 these these DT 63372 2542 20 separation separation NN 63372 2542 21 - - HYPH 63372 2542 22 intervals interval NNS 63372 2542 23 to to IN 63372 2542 24 actual actual JJ 63372 2542 25 measurements measurement NNS 63372 2542 26 in in IN 63372 2542 27 terms term NNS 63372 2542 28 of of IN 63372 2542 29 space space NN 63372 2542 30 and and CC 63372 2542 31 time time NN 63372 2542 32 components component NNS 63372 2542 33 depending depend VBG 63372 2542 34 on on IN 63372 2542 35 the the DT 63372 2542 36 observer observer NN 63372 2542 37 's 's POS 63372 2542 38 reference reference NN 63372 2542 39 system system NN 63372 2542 40 . . . 63372 2543 1 The the DT 63372 2543 2 law law NN 63372 2543 3 of of IN 63372 2543 4 curvature curvature NN 63372 2543 5 must must MD 63372 2543 6 be be VB 63372 2543 7 the the DT 63372 2543 8 law law NN 63372 2543 9 of of IN 63372 2543 10 gravitation gravitation NN 63372 2543 11 . . . 63372 2544 1 To to TO 63372 2544 2 illustrate illustrate VB 63372 2544 3 the the DT 63372 2544 4 lines line NNS 63372 2544 5 on on IN 63372 2544 6 which which WDT 63372 2544 7 Einstein Einstein NNP 63372 2544 8 proceeded proceed VBD 63372 2544 9 to to TO 63372 2544 10 survey survey VB 63372 2544 11 the the DT 63372 2544 12 World World NNP 63372 2544 13 - - HYPH 63372 2544 14 Fabric Fabric NNP 63372 2544 15 from from IN 63372 2544 16 the the DT 63372 2544 17 earth earth NN 63372 2544 18 we -PRON- PRP 63372 2544 19 will will MD 63372 2544 20 consider consider VB 63372 2544 21 a a DT 63372 2544 22 similar similar JJ 63372 2544 23 but but CC 63372 2544 24 more more JJR 63372 2544 25 simple simple JJ 63372 2544 26 problem problem NN 63372 2544 27 -- -- : 63372 2544 28 the the DT 63372 2544 29 survey survey NN 63372 2544 30 of of IN 63372 2544 31 the the DT 63372 2544 32 sea sea NN 63372 2544 33 - - HYPH 63372 2544 34 surface surface NN 63372 2544 35 curvature curvature NN 63372 2544 36 from from IN 63372 2544 37 an an DT 63372 2544 38 airship airship NN 63372 2544 39 . . . 63372 2545 1 We -PRON- PRP 63372 2545 2 study study VBP 63372 2545 3 this this DT 63372 2545 4 curvature curvature JJ 63372 2545 5 by by IN 63372 2545 6 exploring explore VBG 63372 2545 7 small small JJ 63372 2545 8 distances distance NNS 63372 2545 9 on on IN 63372 2545 10 the the DT 63372 2545 11 tracks track NNS 63372 2545 12 of of IN 63372 2545 13 ships ship NNS 63372 2545 14 ( ( -LRB- 63372 2545 15 which which WDT 63372 2545 16 we -PRON- PRP 63372 2545 17 must must MD 63372 2545 18 suppose suppose VB 63372 2545 19 can can MD 63372 2545 20 only only RB 63372 2545 21 move move VB 63372 2545 22 uniformly uniformly RB 63372 2545 23 on on IN 63372 2545 24 unique unique JJ 63372 2545 25 tracks track NNS 63372 2545 26 -- -- : 63372 2545 27 arcs arc NNS 63372 2545 28 of of IN 63372 2545 29 great great JJ 63372 2545 30 circles circle NNS 63372 2545 31 ) ) -RRB- 63372 2545 32 , , , 63372 2545 33 relating relate VBG 63372 2545 34 such such JJ 63372 2545 35 distances distance NNS 63372 2545 36 to to IN 63372 2545 37 actual actual JJ 63372 2545 38 measurements measurement NNS 63372 2545 39 in in IN 63372 2545 40 terms term NNS 63372 2545 41 of of IN 63372 2545 42 length length NN 63372 2545 43 and and CC 63372 2545 44 breadth breadth NN 63372 2545 45 components component NNS 63372 2545 46 depending depend VBG 63372 2545 47 on on IN 63372 2545 48 the the DT 63372 2545 49 observer observer NN 63372 2545 50 's 's POS 63372 2545 51 reference reference NN 63372 2545 52 system system NN 63372 2545 53 . . . 63372 2546 1 This this DT 63372 2546 2 two two CD 63372 2546 3 - - HYPH 63372 2546 4 dimensional dimensional JJ 63372 2546 5 surface surface NN 63372 2546 6 problem problem NN 63372 2546 7 can can MD 63372 2546 8 be be VB 63372 2546 9 extended extend VBN 63372 2546 10 to to IN 63372 2546 11 the the DT 63372 2546 12 four four CD 63372 2546 13 - - HYPH 63372 2546 14 dimensional dimensional JJ 63372 2546 15 Fabric Fabric NNP 63372 2546 16 one one CD 63372 2546 17 . . . 63372 2547 1 We -PRON- PRP 63372 2547 2 consider consider VBP 63372 2547 3 the the DT 63372 2547 4 surface surface NN 63372 2547 5 to to TO 63372 2547 6 be be VB 63372 2547 7 covered cover VBN 63372 2547 8 by by IN 63372 2547 9 two two CD 63372 2547 10 arbitrarily arbitrarily RB 63372 2547 11 drawn draw VBN 63372 2547 12 intersecting intersect VBG 63372 2547 13 series series NN 63372 2547 14 of of IN 63372 2547 15 curves curve NNS 63372 2547 16 : : : 63372 2547 17 curves curve NNS 63372 2547 18 in in IN 63372 2547 19 one one CD 63372 2547 20 series series NN 63372 2547 21 not not RB 63372 2547 22 intersecting intersect VBG 63372 2547 23 each each DT 63372 2547 24 other other JJ 63372 2547 25 , , , 63372 2547 26 vide vide JJ 63372 2547 27 figure figure NN 63372 2547 28 . . . 63372 2548 1 This this DT 63372 2548 2 Gaussian gaussian JJ 63372 2548 3 system system NN 63372 2548 4 of of IN 63372 2548 5 coordinates coordinate NNS 63372 2548 6 is be VBZ 63372 2548 7 appropriate appropriate JJ 63372 2548 8 only only RB 63372 2548 9 when when WRB 63372 2548 10 the the DT 63372 2548 11 smaller small JJR 63372 2548 12 the the DT 63372 2548 13 surface surface NN 63372 2548 14 considered consider VBN 63372 2548 15 , , , 63372 2548 16 the the DT 63372 2548 17 more more RBR 63372 2548 18 nearly nearly RB 63372 2548 19 it -PRON- PRP 63372 2548 20 approximates approximate VBZ 63372 2548 21 to to IN 63372 2548 22 Euclidean euclidean JJ 63372 2548 23 conditions condition NNS 63372 2548 24 . . . 63372 2549 1 It -PRON- PRP 63372 2549 2 admits admit VBZ 63372 2549 3 of of IN 63372 2549 4 defining define VBG 63372 2549 5 any any DT 63372 2549 6 point point NN 63372 2549 7 on on IN 63372 2549 8 the the DT 63372 2549 9 surface surface NN 63372 2549 10 by by IN 63372 2549 11 two two CD 63372 2549 12 numbers number NNS 63372 2549 13 indicating indicate VBG 63372 2549 14 the the DT 63372 2549 15 curves curve NNS 63372 2549 16 intersecting intersect VBG 63372 2549 17 at at IN 63372 2549 18 that that DT 63372 2549 19 point point NN 63372 2549 20 . . . 63372 2550 1 $ $ $ 63372 2550 2 P$ P$ NNP 63372 2550 3 is be VBZ 63372 2550 4 defined define VBN 63372 2550 5 by by IN 63372 2550 6 $ $ $ 63372 2550 7 x_1 x_1 NNP 63372 2550 8 $ $ $ 63372 2550 9 , , , 63372 2550 10 $ $ $ 63372 2550 11 x_2$. x_2$. NN 63372 2551 1 $ $ $ 63372 2551 2 P_1 p_1 NN 63372 2551 3 $ $ $ 63372 2551 4 ( ( -LRB- 63372 2551 5 very very RB 63372 2551 6 near near IN 63372 2551 7 $ $ $ 63372 2551 8 P$ p$ NN 63372 2551 9 ) ) -RRB- 63372 2551 10 is be VBZ 63372 2551 11 defined define VBN 63372 2551 12 by by IN 63372 2551 13 $ $ $ 63372 2551 14 x_1 x_1 NNP 63372 2551 15 + + SYM 63372 2551 16 dx_1 dx_1 NNP 63372 2551 17 $ $ $ 63372 2551 18 , , , 63372 2551 19 $ $ $ 63372 2551 20 x_2 x_2 NNP 63372 2551 21 + + SYM 63372 2551 22 dx_2$. dx_2$. NNP 63372 2552 1 The the DT 63372 2552 2 equation equation NN 63372 2552 3 for for IN 63372 2552 4 the the DT 63372 2552 5 minute minute NN 63372 2552 6 distance distance NN 63372 2552 7 $ $ $ 63372 2552 8 s$ s$ RB 63372 2552 9 between between IN 63372 2552 10 two two CD 63372 2552 11 adjacent adjacent JJ 63372 2552 12 points point NNS 63372 2552 13 in in IN 63372 2552 14 such such PDT 63372 2552 15 a a DT 63372 2552 16 system system NN 63372 2552 17 is be VBZ 63372 2552 18 given give VBN 63372 2552 19 by by IN 63372 2552 20 the the DT 63372 2552 21 general general JJ 63372 2552 22 formula formula NNP 63372 2552 23 $ $ $ 63372 2552 24 $ $ $ 63372 2552 25 s^2 s^2 CD 63372 2552 26 = = SYM 63372 2552 27 g_{11}d{x_1}^2 g_{11}d{x_1}^2 NNP 63372 2552 28 + + SYM 63372 2552 29 g_{12}dx_1dx_2 g_{12}dx_1dx_2 CD 63372 2552 30 + + NNS 63372 2552 31 g_{22}d{x_2}^2\,.$$ g_{22}d{x_2}^2\,.$$ VBP 63372 2552 32 The the DT 63372 2552 33 $ $ $ 63372 2552 34 g$ g$ NNP 63372 2552 35 's 's POS 63372 2552 36 may may MD 63372 2552 37 be be VB 63372 2552 38 constants constant NNS 63372 2552 39 or or CC 63372 2552 40 functions function NNS 63372 2552 41 of of IN 63372 2552 42 $ $ $ 63372 2552 43 x_1 x_1 NNP 63372 2552 44 $ $ $ 63372 2552 45 , , , 63372 2552 46 $ $ $ 63372 2552 47 x_2$. x_2$. NN 63372 2553 1 Their -PRON- PRP$ 63372 2553 2 value value NN 63372 2553 3 is be VBZ 63372 2553 4 dependent dependent JJ 63372 2553 5 on on IN 63372 2553 6 the the DT 63372 2553 7 observer observer NN 63372 2553 8 's 's POS 63372 2553 9 reference reference NN 63372 2553 10 system system NN 63372 2553 11 and and CC 63372 2553 12 on on IN 63372 2553 13 the the DT 63372 2553 14 geometrical geometrical JJ 63372 2553 15 character character NN 63372 2553 16 of of IN 63372 2553 17 the the DT 63372 2553 18 surface surface NN 63372 2553 19 observed observe VBN 63372 2553 20 . . . 63372 2554 1 The the DT 63372 2554 2 curves curve NNS 63372 2554 3 being be VBG 63372 2554 4 arbitrary arbitrary JJ 63372 2554 5 , , , 63372 2554 6 the the DT 63372 2554 7 formula formula NN 63372 2554 8 is be VBZ 63372 2554 9 appropriate appropriate JJ 63372 2554 10 for for IN 63372 2554 11 any any DT 63372 2554 12 reference reference NN 63372 2554 13 system system NN 63372 2554 14 , , , 63372 2554 15 or or CC 63372 2554 16 even even RB 63372 2554 17 if if IN 63372 2554 18 the the DT 63372 2554 19 observer observer NN 63372 2554 20 does do VBZ 63372 2554 21 not not RB 63372 2554 22 know know VB 63372 2554 23 exactly exactly RB 63372 2554 24 what what WP 63372 2554 25 his -PRON- PRP$ 63372 2554 26 reference reference NN 63372 2554 27 system system NN 63372 2554 28 is be VBZ 63372 2554 29 . . . 63372 2555 1 ( ( -LRB- 63372 2555 2 The the DT 63372 2555 3 Fabric Fabric NNP 63372 2555 4 observer observer NN 63372 2555 5 does do VBZ 63372 2555 6 not not RB 63372 2555 7 know know VB 63372 2555 8 what what WP 63372 2555 9 his -PRON- PRP$ 63372 2555 10 space space NN 63372 2555 11 and and CC 63372 2555 12 time time NN 63372 2555 13 partitioning partitioning NN 63372 2555 14 actually actually RB 63372 2555 15 is be VBZ 63372 2555 16 because because IN 63372 2555 17 he -PRON- PRP 63372 2555 18 is be VBZ 63372 2555 19 in in IN 63372 2555 20 a a DT 63372 2555 21 gravitational gravitational JJ 63372 2555 22 field field NN 63372 2555 23 ) ) -RRB- 63372 2555 24 . . . 63372 2556 1 It -PRON- PRP 63372 2556 2 is be VBZ 63372 2556 3 the the DT 63372 2556 4 $ $ $ 63372 2556 5 g$ g$ NNP 63372 2556 6 's 's POS 63372 2556 7 which which WDT 63372 2556 8 disclose disclose VBP 63372 2556 9 the the DT 63372 2556 10 geometry geometry NN 63372 2556 11 of of IN 63372 2556 12 an an DT 63372 2556 13 observer observer NN 63372 2556 14 's 's POS 63372 2556 15 partitions partition NNS 63372 2556 16 , , , 63372 2556 17 and and CC 63372 2556 18 their -PRON- PRP$ 63372 2556 19 values value NNS 63372 2556 20 also also RB 63372 2556 21 contain contain VBP 63372 2556 22 a a DT 63372 2556 23 reflection reflection NN 63372 2556 24 of of IN 63372 2556 25 the the DT 63372 2556 26 character character NN 63372 2556 27 of of IN 63372 2556 28 the the DT 63372 2556 29 region region NN 63372 2556 30 observed observe VBD 63372 2556 31 . . . 63372 2557 1 We -PRON- PRP 63372 2557 2 find find VBP 63372 2557 3 $ $ $ 63372 2557 4 s$ s$ RB 63372 2557 5 by by IN 63372 2557 6 direct direct JJ 63372 2557 7 exploration exploration NN 63372 2557 8 with with IN 63372 2557 9 a a DT 63372 2557 10 moving move VBG 63372 2557 11 ship ship NN 63372 2557 12 ( ( -LRB- 63372 2557 13 $ $ $ 63372 2557 14 \Omega$ \Omega$ NNP 63372 2557 15 is be VBZ 63372 2557 16 found find VBN 63372 2557 17 by by IN 63372 2557 18 direct direct JJ 63372 2557 19 exploration exploration NN 63372 2557 20 with with IN 63372 2557 21 a a DT 63372 2557 22 freely freely RB 63372 2557 23 moving move VBG 63372 2557 24 particle particle NN 63372 2557 25 ) ) -RRB- 63372 2557 26 ; ; : 63372 2557 27 $ $ $ 63372 2557 28 dx_1 dx_1 NNP 63372 2557 29 $ $ $ 63372 2557 30 , , , 63372 2557 31 $ $ $ 63372 2557 32 dx_2 dx_2 NNP 63372 2557 33 $ $ $ 63372 2557 34 are be VBP 63372 2557 35 the the DT 63372 2557 36 observed observed JJ 63372 2557 37 length length NN 63372 2557 38 and and CC 63372 2557 39 breadth breadth NN 63372 2557 40 measurement measurement NN 63372 2557 41 differences difference NNS 63372 2557 42 which which WDT 63372 2557 43 we -PRON- PRP 63372 2557 44 have have VBP 63372 2557 45 to to TO 63372 2557 46 relate relate VB 63372 2557 47 to to IN 63372 2557 48 $ $ $ 63372 2557 49 s$. s$. . 63372 2558 1 By by IN 63372 2558 2 making make VBG 63372 2558 3 sufficient sufficient JJ 63372 2558 4 observations observation NNS 63372 2558 5 in in IN 63372 2558 6 a a DT 63372 2558 7 small small JJ 63372 2558 8 area area NN 63372 2558 9 and and CC 63372 2558 10 referring refer VBG 63372 2558 11 them -PRON- PRP 63372 2558 12 to to IN 63372 2558 13 the the DT 63372 2558 14 general general JJ 63372 2558 15 formula formula NN 63372 2558 16 we -PRON- PRP 63372 2558 17 can can MD 63372 2558 18 find find VB 63372 2558 19 the the DT 63372 2558 20 values value NNS 63372 2558 21 of of IN 63372 2558 22 the the DT 63372 2558 23 $ $ $ 63372 2558 24 g$ g$ NNP 63372 2558 25 's 's POS 63372 2558 26 for for IN 63372 2558 27 the the DT 63372 2558 28 observer observer NN 63372 2558 29 's 's POS 63372 2558 30 particular particular JJ 63372 2558 31 reference reference NN 63372 2558 32 system system NN 63372 2558 33 . . . 63372 2559 1 Different different JJ 63372 2559 2 values value NNS 63372 2559 3 for for IN 63372 2559 4 $ $ $ 63372 2559 5 g$ g$ NNP 63372 2559 6 's 's POS 63372 2559 7 will will MD 63372 2559 8 be be VB 63372 2559 9 found find VBN 63372 2559 10 if if IN 63372 2559 11 the the DT 63372 2559 12 observer observer NN 63372 2559 13 changes change VBZ 63372 2559 14 his -PRON- PRP$ 63372 2559 15 reference reference NN 63372 2559 16 system system NN 63372 2559 17 , , , 63372 2559 18 but but CC 63372 2559 19 there there EX 63372 2559 20 is be VBZ 63372 2559 21 a a DT 63372 2559 22 limitation limitation NN 63372 2559 23 to to IN 63372 2559 24 the the DT 63372 2559 25 values value NNS 63372 2559 26 so so RB 63372 2559 27 obtainable obtainable JJ 63372 2559 28 owing owing NN 63372 2559 29 to to IN 63372 2559 30 the the DT 63372 2559 31 part part NN 63372 2559 32 played play VBN 63372 2559 33 by by IN 63372 2559 34 the the DT 63372 2559 35 surface surface NN 63372 2559 36 itself -PRON- PRP 63372 2559 37 , , , 63372 2559 38 which which WDT 63372 2559 39 is be VBZ 63372 2559 40 diffidently diffidently RB 63372 2559 41 expressing express VBG 63372 2559 42 its -PRON- PRP$ 63372 2559 43 intrinsic intrinsic JJ 63372 2559 44 geometrical geometrical JJ 63372 2559 45 character character NN 63372 2559 46 in in IN 63372 2559 47 the the DT 63372 2559 48 $ $ $ 63372 2559 49 g$ g$ NNP 63372 2559 50 's 's POS 63372 2559 51 in in IN 63372 2559 52 each each DT 63372 2559 53 observation observation NN 63372 2559 54 . . . 63372 2560 1 EINSTEIN EINSTEIN NNP 63372 2560 2 'S 's POS 63372 2560 3 RESULTS results NN 63372 2560 4 Thus thus RB 63372 2560 5 we -PRON- PRP 63372 2560 6 approach approach VBP 63372 2560 7 the the DT 63372 2560 8 absolute absolute JJ 63372 2560 9 character character NN 63372 2560 10 of of IN 63372 2560 11 the the DT 63372 2560 12 surface surface NN 63372 2560 13 through through IN 63372 2560 14 the the DT 63372 2560 15 relative relative JJ 63372 2560 16 nature nature NN 63372 2560 17 of of IN 63372 2560 18 the the DT 63372 2560 19 observer observer NN 63372 2560 20 's 's POS 63372 2560 21 reference reference NN 63372 2560 22 system system NN 63372 2560 23 . . . 63372 2561 1 There there EX 63372 2561 2 is be VBZ 63372 2561 3 a a DT 63372 2561 4 relationship relationship NN 63372 2561 5 common common JJ 63372 2561 6 to to IN 63372 2561 7 all all DT 63372 2561 8 values value NNS 63372 2561 9 of of IN 63372 2561 10 the the DT 63372 2561 11 $ $ $ 63372 2561 12 g$ g$ NNP 63372 2561 13 's 's POS 63372 2561 14 that that WDT 63372 2561 15 belong belong VBP 63372 2561 16 to to IN 63372 2561 17 the the DT 63372 2561 18 same same JJ 63372 2561 19 curvature curvature NN 63372 2561 20 . . . 63372 2562 1 This this DT 63372 2562 2 relationship relationship NN 63372 2562 3 is be VBZ 63372 2562 4 expressed express VBN 63372 2562 5 by by IN 63372 2562 6 a a DT 63372 2562 7 differential differential NN 63372 2562 8 equation equation NN 63372 2562 9 . . . 63372 2563 1 It -PRON- PRP 63372 2563 2 is be VBZ 63372 2563 3 this this DT 63372 2563 4 equation equation NN 63372 2563 5 of of IN 63372 2563 6 curvature curvature NN 63372 2563 7 that that WDT 63372 2563 8 the the DT 63372 2563 9 airship airship NN 63372 2563 10 's 's POS 63372 2563 11 observer observer NN 63372 2563 12 must must MD 63372 2563 13 find find VB 63372 2563 14 . . . 63372 2564 1 Einstein Einstein NNP 63372 2564 2 's 's POS 63372 2564 3 problem problem NN 63372 2564 4 was be VBD 63372 2564 5 similar similar JJ 63372 2564 6 , , , 63372 2564 7 but but CC 63372 2564 8 he -PRON- PRP 63372 2564 9 was be VBD 63372 2564 10 concerned concern VBN 63372 2564 11 with with IN 63372 2564 12 four four CD 63372 2564 13 dimensions dimension NNS 63372 2564 14 , , , 63372 2564 15 which which WDT 63372 2564 16 entailed entail VBD 63372 2564 17 a a DT 63372 2564 18 general general JJ 63372 2564 19 formula formula NN 63372 2564 20 with with IN 63372 2564 21 ten ten CD 63372 2564 22 $ $ $ 63372 2564 23 g$ g$ NNP 63372 2564 24 's 's POS 63372 2564 25 , , , 63372 2564 26 and and CC 63372 2564 27 he -PRON- PRP 63372 2564 28 had have VBD 63372 2564 29 to to TO 63372 2564 30 find find VB 63372 2564 31 a a DT 63372 2564 32 set set NN 63372 2564 33 of of IN 63372 2564 34 differential differential JJ 63372 2564 35 equations equation NNS 63372 2564 36 of of IN 63372 2564 37 the the DT 63372 2564 38 second second JJ 63372 2564 39 order order NN 63372 2564 40 to to TO 63372 2564 41 determine determine VB 63372 2564 42 the the DT 63372 2564 43 law law NN 63372 2564 44 of of IN 63372 2564 45 Fabric Fabric NNP 63372 2564 46 curvature curvature NN 63372 2564 47 . . . 63372 2565 1 He -PRON- PRP 63372 2565 2 divided divide VBD 63372 2565 3 the the DT 63372 2565 4 Fabric Fabric NNP 63372 2565 5 into into IN 63372 2565 6 regions region NNS 63372 2565 7 : : : 63372 2565 8 I. I. NNP 63372 2565 9 World World NNP 63372 2565 10 - - HYPH 63372 2565 11 Frame Frame NNP 63372 2565 12 -- -- : 63372 2565 13 beyond beyond IN 63372 2565 14 influence influence NN 63372 2565 15 of of IN 63372 2565 16 energy energy NN 63372 2565 17 . . . 63372 2566 1 II ii CD 63372 2566 2 . . . 63372 2567 1 Empty empty JJ 63372 2567 2 region region NN 63372 2567 3 -- -- : 63372 2567 4 free free JJ 63372 2567 5 of of IN 63372 2567 6 energy energy NN 63372 2567 7 , , , 63372 2567 8 but but CC 63372 2567 9 under under IN 63372 2567 10 its -PRON- PRP$ 63372 2567 11 influence influence NN 63372 2567 12 . . . 63372 2568 1 III iii CD 63372 2568 2 . . . 63372 2569 1 Region region NN 63372 2569 2 containing contain VBG 63372 2569 3 free free JJ 63372 2569 4 energy energy NN 63372 2569 5 only only RB 63372 2569 6 . . . 63372 2570 1 Each each DT 63372 2570 2 region region NN 63372 2570 3 has have VBZ 63372 2570 4 a a DT 63372 2570 5 characteristic characteristic JJ 63372 2570 6 curvature curvature NN 63372 2570 7 . . . 63372 2571 1 By by IN 63372 2571 2 means mean NNS 63372 2571 3 of of IN 63372 2571 4 an an DT 63372 2571 5 absolute absolute JJ 63372 2571 6 differential differential NN 63372 2571 7 calculus calculus NN 63372 2571 8 -- -- : 63372 2571 9 a a DT 63372 2571 10 wonderful wonderful JJ 63372 2571 11 mathematical mathematical JJ 63372 2571 12 scaffolding scaffolding NN 63372 2571 13 erected erect VBN 63372 2571 14 by by IN 63372 2571 15 Riemann Riemann NNP 63372 2571 16 , , , 63372 2571 17 Christoffel Christoffel NNP 63372 2571 18 and and CC 63372 2571 19 others other NNS 63372 2571 20 -- -- : 63372 2571 21 involving involve VBG 63372 2571 22 the the DT 63372 2571 23 theory theory NN 63372 2571 24 of of IN 63372 2571 25 tensors tensor NNS 63372 2571 26 , , , 63372 2571 27 he -PRON- PRP 63372 2571 28 succeeded succeed VBD 63372 2571 29 in in IN 63372 2571 30 finding find VBG 63372 2571 31 such such PDT 63372 2571 32 a a DT 63372 2571 33 set set NN 63372 2571 34 of of IN 63372 2571 35 equations equation NNS 63372 2571 36 . . . 63372 2572 1 He -PRON- PRP 63372 2572 2 kept keep VBD 63372 2572 3 the the DT 63372 2572 4 following follow VBG 63372 2572 5 points point NNS 63372 2572 6 in in IN 63372 2572 7 view view NN 63372 2572 8 : : : 63372 2572 9 ( ( -LRB- 63372 2572 10 1 1 LS 63372 2572 11 ) ) -RRB- 63372 2572 12 The the DT 63372 2572 13 equations equation NNS 63372 2572 14 must must MD 63372 2572 15 not not RB 63372 2572 16 only only RB 63372 2572 17 give give VB 63372 2572 18 the the DT 63372 2572 19 character character NN 63372 2572 20 of of IN 63372 2572 21 region region NN 63372 2572 22 II II NNP 63372 2572 23 , , , 63372 2572 24 but but CC 63372 2572 25 must must MD 63372 2572 26 satisfy satisfy VB 63372 2572 27 the the DT 63372 2572 28 special special JJ 63372 2572 29 case case NN 63372 2572 30 of of IN 63372 2572 31 region region NN 63372 2572 32 I -PRON- PRP 63372 2572 33 ; ; , 63372 2572 34 ( ( -LRB- 63372 2572 35 2 2 LS 63372 2572 36 ) ) -RRB- 63372 2572 37 They -PRON- PRP 63372 2572 38 must must MD 63372 2572 39 be be VB 63372 2572 40 independent independent JJ 63372 2572 41 of of IN 63372 2572 42 any any DT 63372 2572 43 partitioning partition VBG 63372 2572 44 system system NN 63372 2572 45 , , , 63372 2572 46 because because IN 63372 2572 47 the the DT 63372 2572 48 General General NNP 63372 2572 49 Theory Theory NNP 63372 2572 50 of of IN 63372 2572 51 Relativity Relativity NNP 63372 2572 52 demands demand VBZ 63372 2572 53 that that IN 63372 2572 54 a a DT 63372 2572 55 law law NN 63372 2572 56 of of IN 63372 2572 57 nature nature NN 63372 2572 58 be be VBP 63372 2572 59 in in IN 63372 2572 60 a a DT 63372 2572 61 form form NN 63372 2572 62 appropriate appropriate JJ 63372 2572 63 for for IN 63372 2572 64 all all DT 63372 2572 65 observers observer NNS 63372 2572 66 whatever whatever WDT 63372 2572 67 their -PRON- PRP$ 63372 2572 68 position position NN 63372 2572 69 and and CC 63372 2572 70 motion motion NN 63372 2572 71 ; ; : 63372 2572 72 ( ( -LRB- 63372 2572 73 3 3 LS 63372 2572 74 ) ) -RRB- 63372 2572 75 They -PRON- PRP 63372 2572 76 must must MD 63372 2572 77 be be VB 63372 2572 78 concerned concern VBN 63372 2572 79 with with IN 63372 2572 80 energy energy NN 63372 2572 81 which which WDT 63372 2572 82 is be VBZ 63372 2572 83 conserved conserve VBN 63372 2572 84 , , , 63372 2572 85 not not RB 63372 2572 86 mass mass JJ 63372 2572 87 which which WDT 63372 2572 88 the the DT 63372 2572 89 Special Special NNP 63372 2572 90 Theory Theory NNP 63372 2572 91 showed show VBD 63372 2572 92 dependent dependent JJ 63372 2572 93 on on IN 63372 2572 94 velocity velocity NN 63372 2572 95 . . . 63372 2573 1 This this DT 63372 2573 2 set set NN 63372 2573 3 of of IN 63372 2573 4 differential differential NN 63372 2573 5 equations equation NNS 63372 2573 6 which which WDT 63372 2573 7 shows show VBZ 63372 2573 8 how how WRB 63372 2573 9 the the DT 63372 2573 10 curvature curvature NN 63372 2573 11 of of IN 63372 2573 12 the the DT 63372 2573 13 Fabric Fabric NNP 63372 2573 14 at at IN 63372 2573 15 any any DT 63372 2573 16 point point NN 63372 2573 17 links link NNS 63372 2573 18 to to IN 63372 2573 19 the the DT 63372 2573 20 curvature curvature NN 63372 2573 21 at at IN 63372 2573 22 neighboring neighboring JJ 63372 2573 23 points point NNS 63372 2573 24 is be VBZ 63372 2573 25 the the DT 63372 2573 26 law law NN 63372 2573 27 of of IN 63372 2573 28 gravitation gravitation NN 63372 2573 29 , , , 63372 2573 30 a a DT 63372 2573 31 law law NN 63372 2573 32 which which WDT 63372 2573 33 has have VBZ 63372 2573 34 been be VBN 63372 2573 35 severely severely RB 63372 2573 36 tested test VBN 63372 2573 37 by by IN 63372 2573 38 the the DT 63372 2573 39 practical practical JJ 63372 2573 40 observation observation NN 63372 2573 41 of of IN 63372 2573 42 the the DT 63372 2573 43 solar solar JJ 63372 2573 44 eclipse eclipse NN 63372 2573 45 already already RB 63372 2573 46 referred refer VBD 63372 2573 47 to to IN 63372 2573 48 . . . 63372 2574 1 At at IN 63372 2574 2 a a DT 63372 2574 3 first first JJ 63372 2574 4 approximation approximation NN 63372 2574 5 these these DT 63372 2574 6 equations equation NNS 63372 2574 7 degenerate degenerate VBP 63372 2574 8 into into IN 63372 2574 9 Newton Newton NNP 63372 2574 10 's 's POS 63372 2574 11 Law Law NNP 63372 2574 12 . . . 63372 2575 1 At at IN 63372 2575 2 a a DT 63372 2575 3 second second JJ 63372 2575 4 approximation approximation NN 63372 2575 5 they -PRON- PRP 63372 2575 6 account account VBP 63372 2575 7 for for IN 63372 2575 8 the the DT 63372 2575 9 motion motion NN 63372 2575 10 of of IN 63372 2575 11 the the DT 63372 2575 12 perihelion perihelion NN 63372 2575 13 of of IN 63372 2575 14 Mercury Mercury NNP 63372 2575 15 , , , 63372 2575 16 which which WDT 63372 2575 17 had have VBD 63372 2575 18 hitherto hitherto VBN 63372 2575 19 baffled baffle VBN 63372 2575 20 astronomers astronomer NNS 63372 2575 21 . . . 63372 2576 1 All all PDT 63372 2576 2 the the DT 63372 2576 3 laws law NNS 63372 2576 4 of of IN 63372 2576 5 mechanics mechanic NNS 63372 2576 6 are be VBP 63372 2576 7 deducible deducible JJ 63372 2576 8 from from IN 63372 2576 9 this this DT 63372 2576 10 law law NN 63372 2576 11 of of IN 63372 2576 12 World World NNP 63372 2576 13 - - HYPH 63372 2576 14 Fabric Fabric NNP 63372 2576 15 curvature curvature NN 63372 2576 16 , , , 63372 2576 17 i.e. i.e. FW 63372 2577 1 conservation conservation NN 63372 2577 2 of of IN 63372 2577 3 energy energy NN 63372 2577 4 ( ( -LRB- 63372 2577 5 which which WDT 63372 2577 6 includes include VBZ 63372 2577 7 conservation conservation NN 63372 2577 8 of of IN 63372 2577 9 mass mass NN 63372 2577 10 since since IN 63372 2577 11 we -PRON- PRP 63372 2577 12 re re VBP 63372 2577 13 - - VB 63372 2577 14 define define JJ 63372 2577 15 mass mass NN 63372 2577 16 as as IN 63372 2577 17 energy energy NN 63372 2577 18 ) ) -RRB- 63372 2577 19 and and CC 63372 2577 20 conservation conservation NN 63372 2577 21 of of IN 63372 2577 22 momentum momentum NN 63372 2577 23 ( ( -LRB- 63372 2577 24 re re NN 63372 2577 25 - - VBN 63372 2577 26 defined define VBN 63372 2577 27 by by IN 63372 2577 28 a a DT 63372 2577 29 relativist relativist NN 63372 2577 30 ) ) -RRB- 63372 2577 31 . . . 63372 2578 1 It -PRON- PRP 63372 2578 2 must must MD 63372 2578 3 be be VB 63372 2578 4 noted note VBN 63372 2578 5 that that IN 63372 2578 6 this this DT 63372 2578 7 law law NN 63372 2578 8 and and CC 63372 2578 9 the the DT 63372 2578 10 General General NNP 63372 2578 11 Theory Theory NNP 63372 2578 12 show show VBP 63372 2578 13 that that IN 63372 2578 14 the the DT 63372 2578 15 velocity velocity NN 63372 2578 16 of of IN 63372 2578 17 light light NN 63372 2578 18 is be VBZ 63372 2578 19 not not RB 63372 2578 20 absolutely absolutely RB 63372 2578 21 constant constant JJ 63372 2578 22 , , , 63372 2578 23 but but CC 63372 2578 24 , , , 63372 2578 25 like like IN 63372 2578 26 everything everything NN 63372 2578 27 else else RB 63372 2578 28 , , , 63372 2578 29 a a DT 63372 2578 30 light light NN 63372 2578 31 - - HYPH 63372 2578 32 pulse pulse NN 63372 2578 33 is be VBZ 63372 2578 34 affected affect VBN 63372 2578 35 by by IN 63372 2578 36 the the DT 63372 2578 37 Fabric Fabric NNP 63372 2578 38 curvature curvature NN 63372 2578 39 in in IN 63372 2578 40 a a DT 63372 2578 41 gravitational gravitational JJ 63372 2578 42 field field NN 63372 2578 43 . . . 63372 2579 1 In in IN 63372 2579 2 conclusion conclusion NN 63372 2579 3 we -PRON- PRP 63372 2579 4 will will MD 63372 2579 5 contrast contrast VB 63372 2579 6 some some DT 63372 2579 7 conspicuous conspicuous JJ 63372 2579 8 differences difference NNS 63372 2579 9 in in IN 63372 2579 10 the the DT 63372 2579 11 old old JJ 63372 2579 12 world world NN 63372 2579 13 view view NN 63372 2579 14 of of IN 63372 2579 15 classical classical JJ 63372 2579 16 mechanics mechanic NNS 63372 2579 17 and and CC 63372 2579 18 the the DT 63372 2579 19 new new JJ 63372 2579 20 view view NN 63372 2579 21 presented present VBN 63372 2579 22 by by IN 63372 2579 23 Einstein Einstein NNP 63372 2579 24 . . . 63372 2580 1 1 1 LS 63372 2580 2 . . . 63372 2581 1 A a DT 63372 2581 2 three three CD 63372 2581 3 - - HYPH 63372 2581 4 dimensional dimensional JJ 63372 2581 5 ether ether NN 63372 2581 6 medium medium NN 63372 2581 7 with with IN 63372 2581 8 variously variously RB 63372 2581 9 conceived conceive VBN 63372 2581 10 properties property NNS 63372 2581 11 which which WDT 63372 2581 12 communicated communicate VBD 63372 2581 13 the the DT 63372 2581 14 supposed suppose VBN 63372 2581 15 inherent inherent JJ 63372 2581 16 attractive attractive JJ 63372 2581 17 force force NN 63372 2581 18 in in IN 63372 2581 19 matter matter NN 63372 2581 20 in in IN 63372 2581 21 some some DT 63372 2581 22 unexplained unexplained JJ 63372 2581 23 way way NN 63372 2581 24 , , , 63372 2581 25 and and CC 63372 2581 26 transmitted transmit VBD 63372 2581 27 electromagnetic electromagnetic JJ 63372 2581 28 waves wave NNS 63372 2581 29 , , , 63372 2581 30 has have VBZ 63372 2581 31 been be VBN 63372 2581 32 replaced replace VBN 63372 2581 33 by by IN 63372 2581 34 a a DT 63372 2581 35 four four CD 63372 2581 36 - - HYPH 63372 2581 37 dimensional dimensional JJ 63372 2581 38 external external JJ 63372 2581 39 World World NNP 63372 2581 40 - - HYPH 63372 2581 41 Fabric Fabric NNP 63372 2581 42 , , , 63372 2581 43 the the DT 63372 2581 44 geometrical geometrical JJ 63372 2581 45 character character NN 63372 2581 46 of of IN 63372 2581 47 which which WDT 63372 2581 48 controls control VBZ 63372 2581 49 the the DT 63372 2581 50 motion motion NN 63372 2581 51 of of IN 63372 2581 52 matter matter NN 63372 2581 53 ( ( -LRB- 63372 2581 54 energy energy NN 63372 2581 55 ) ) -RRB- 63372 2581 56 and and CC 63372 2581 57 accounts account VBZ 63372 2581 58 for for IN 63372 2581 59 all all DT 63372 2581 60 mechanical mechanical JJ 63372 2581 61 laws law NNS 63372 2581 62 . . . 63372 2582 1 2 2 LS 63372 2582 2 . . . 63372 2583 1 After after IN 63372 2583 2 separating separate VBG 63372 2583 3 the the DT 63372 2583 4 observer observer NN 63372 2583 5 's 's POS 63372 2583 6 subjective subjective JJ 63372 2583 7 share share NN 63372 2583 8 in in IN 63372 2583 9 definitions definition NNS 63372 2583 10 from from IN 63372 2583 11 nature nature NN 63372 2583 12 's 's POS 63372 2583 13 share share NN 63372 2583 14 in in IN 63372 2583 15 the the DT 63372 2583 16 things thing NNS 63372 2583 17 defined define VBN 63372 2583 18 , , , 63372 2583 19 space space NN 63372 2583 20 , , , 63372 2583 21 time time NN 63372 2583 22 , , , 63372 2583 23 and and CC 63372 2583 24 force force NN 63372 2583 25 , , , 63372 2583 26 hitherto hitherto NNP 63372 2583 27 regarded regard VBD 63372 2583 28 as as IN 63372 2583 29 absolute absolute JJ 63372 2583 30 , , , 63372 2583 31 have have VBP 63372 2583 32 been be VBN 63372 2583 33 shown show VBN 63372 2583 34 to to TO 63372 2583 35 be be VB 63372 2583 36 purely purely RB 63372 2583 37 relative relative JJ 63372 2583 38 and and CC 63372 2583 39 dependent dependent JJ 63372 2583 40 on on IN 63372 2583 41 the the DT 63372 2583 42 observer observer NN 63372 2583 43 's 's POS 63372 2583 44 track track NN 63372 2583 45 . . . 63372 2584 1 Mass Mass NNP 63372 2584 2 has have VBZ 63372 2584 3 also also RB 63372 2584 4 proved prove VBN 63372 2584 5 to to TO 63372 2584 6 be be VB 63372 2584 7 relative relative JJ 63372 2584 8 to to IN 63372 2584 9 velocity velocity NN 63372 2584 10 unless unless IN 63372 2584 11 re re NNS 63372 2584 12 - - VBN 63372 2584 13 defined define VBN 63372 2584 14 as as IN 63372 2584 15 energy energy NN 63372 2584 16 . . . 63372 2585 1 As as IN 63372 2585 2 classical classical JJ 63372 2585 3 mechanics mechanic NNS 63372 2585 4 bases base VBZ 63372 2585 5 all all DT 63372 2585 6 definitions definition NNS 63372 2585 7 on on IN 63372 2585 8 space space NN 63372 2585 9 , , , 63372 2585 10 time time NN 63372 2585 11 , , , 63372 2585 12 and and CC 63372 2585 13 mass mass NN 63372 2585 14 units unit NNS 63372 2585 15 , , , 63372 2585 16 the the DT 63372 2585 17 relativity relativity NN 63372 2585 18 of of IN 63372 2585 19 such such JJ 63372 2585 20 defined defined JJ 63372 2585 21 quantities quantity NNS 63372 2585 22 is be VBZ 63372 2585 23 now now RB 63372 2585 24 apparent apparent JJ 63372 2585 25 . . . 63372 2586 1 3 3 LS 63372 2586 2 . . . 63372 2587 1 Newton Newton NNP 63372 2587 2 's 's POS 63372 2587 3 laws law NNS 63372 2587 4 of of IN 63372 2587 5 motion motion NN 63372 2587 6 , , , 63372 2587 7 his -PRON- PRP$ 63372 2587 8 law law NN 63372 2587 9 of of IN 63372 2587 10 gravitation gravitation NN 63372 2587 11 , , , 63372 2587 12 and and CC 63372 2587 13 the the DT 63372 2587 14 laws law NNS 63372 2587 15 of of IN 63372 2587 16 conservation conservation NN 63372 2587 17 , , , 63372 2587 18 hitherto hitherto NNP 63372 2587 19 regarded regard VBD 63372 2587 20 as as IN 63372 2587 21 unrelated unrelated JJ 63372 2587 22 , , , 63372 2587 23 are be VBP 63372 2587 24 now now RB 63372 2587 25 synthesised synthesise VBN 63372 2587 26 in in IN 63372 2587 27 a a DT 63372 2587 28 basic basic JJ 63372 2587 29 law law NN 63372 2587 30 of of IN 63372 2587 31 mechanics mechanic NNS 63372 2587 32 . . . 63372 2588 1 Einstein Einstein NNP 63372 2588 2 has have VBZ 63372 2588 3 not not RB 63372 2588 4 disturbed disturb VBN 63372 2588 5 the the DT 63372 2588 6 electric electric JJ 63372 2588 7 theory theory NN 63372 2588 8 of of IN 63372 2588 9 matter matter NN 63372 2588 10 , , , 63372 2588 11 and and CC 63372 2588 12 both both CC 63372 2588 13 the the DT 63372 2588 14 old old JJ 63372 2588 15 and and CC 63372 2588 16 new new JJ 63372 2588 17 physics physic NNS 63372 2588 18 have have VBP 63372 2588 19 in in IN 63372 2588 20 common common JJ 63372 2588 21 the the DT 63372 2588 22 " " `` 63372 2588 23 Principle Principle NNP 63372 2588 24 of of IN 63372 2588 25 Least Least JJS 63372 2588 26 Action Action NNP 63372 2588 27 . . . 63372 2588 28 " " '' 63372 2589 1 We -PRON- PRP 63372 2589 2 obtain obtain VBP 63372 2589 3 a a DT 63372 2589 4 glimpse glimpse NN 63372 2589 5 of of IN 63372 2589 6 this this DT 63372 2589 7 principle principle NN 63372 2589 8 in in IN 63372 2589 9 the the DT 63372 2589 10 unique unique JJ 63372 2589 11 tracks track NNS 63372 2589 12 pursued pursue VBN 63372 2589 13 by by IN 63372 2589 14 freely freely RB 63372 2589 15 moving move VBG 63372 2589 16 bodies body NNS 63372 2589 17 , , , 63372 2589 18 which which WDT 63372 2589 19 may may MD 63372 2589 20 be be VB 63372 2589 21 regarded regard VBN 63372 2589 22 as as IN 63372 2589 23 tracks track NNS 63372 2589 24 of of IN 63372 2589 25 least least JJS 63372 2589 26 effort effort NN 63372 2589 27 , , , 63372 2589 28 force force NN 63372 2589 29 only only RB 63372 2589 30 being be VBG 63372 2589 31 manifested manifest VBN 63372 2589 32 as as IN 63372 2589 33 an an DT 63372 2589 34 expression expression NN 63372 2589 35 of of IN 63372 2589 36 the the DT 63372 2589 37 Fabric Fabric NNP 63372 2589 38 's 's POS 63372 2589 39 resentment resentment NN 63372 2589 40 when when WRB 63372 2589 41 bodies body NNS 63372 2589 42 depart depart VBP 63372 2589 43 from from IN 63372 2589 44 these these DT 63372 2589 45 natural natural JJ 63372 2589 46 tracks track NNS 63372 2589 47 . . . 63372 2590 1 Einstein Einstein NNP 63372 2590 2 has have VBZ 63372 2590 3 approached approach VBN 63372 2590 4 nearer nearer RB 63372 2590 5 to to IN 63372 2590 6 the the DT 63372 2590 7 truth truth NN 63372 2590 8 in in IN 63372 2590 9 regard regard NN 63372 2590 10 to to IN 63372 2590 11 the the DT 63372 2590 12 laws law NNS 63372 2590 13 underlying underlie VBG 63372 2590 14 nature nature NN 63372 2590 15 , , , 63372 2590 16 and and CC 63372 2590 17 , , , 63372 2590 18 as as IN 63372 2590 19 always always RB 63372 2590 20 , , , 63372 2590 21 this this DT 63372 2590 22 means mean VBZ 63372 2590 23 a a DT 63372 2590 24 simplification simplification NN 63372 2590 25 . . . 63372 2591 1 His -PRON- PRP$ 63372 2591 2 theory theory NN 63372 2591 3 , , , 63372 2591 4 which which WDT 63372 2591 5 entails entail VBZ 63372 2591 6 a a DT 63372 2591 7 readjustment readjustment NN 63372 2591 8 of of IN 63372 2591 9 such such JJ 63372 2591 10 fundamental fundamental JJ 63372 2591 11 conceptions conception NNS 63372 2591 12 as as IN 63372 2591 13 space space NN 63372 2591 14 and and CC 63372 2591 15 time time NN 63372 2591 16 , , , 63372 2591 17 opens open VBZ 63372 2591 18 up up RP 63372 2591 19 fresh fresh JJ 63372 2591 20 fields field NNS 63372 2591 21 to to IN 63372 2591 22 scientific scientific JJ 63372 2591 23 investigation investigation NN 63372 2591 24 and and CC 63372 2591 25 to to IN 63372 2591 26 philosophic philosophic JJ 63372 2591 27 thought thought NN 63372 2591 28 . . . 63372 2592 1 It -PRON- PRP 63372 2592 2 reveals reveal VBZ 63372 2592 3 a a DT 63372 2592 4 bridge bridge NN 63372 2592 5 uniting unite VBG 63372 2592 6 the the DT 63372 2592 7 domains domain NNS 63372 2592 8 of of IN 63372 2592 9 physics physics NN 63372 2592 10 and and CC 63372 2592 11 philosophy philosophy NN 63372 2592 12 , , , 63372 2592 13 and and CC 63372 2592 14 it -PRON- PRP 63372 2592 15 heralds herald VBZ 63372 2592 16 a a DT 63372 2592 17 new new JJ 63372 2592 18 era era NN 63372 2592 19 in in IN 63372 2592 20 the the DT 63372 2592 21 history history NN 63372 2592 22 of of IN 63372 2592 23 science science NN 63372 2592 24 . . . 63372 2593 1 XV XV NNP 63372 2593 2 THE the DT 63372 2593 3 NEW new JJ 63372 2593 4 WORLD world NN 63372 2593 5 A a DT 63372 2593 6 Universe universe NN 63372 2593 7 in in IN 63372 2593 8 Which which WDT 63372 2593 9 Geometry Geometry NNP 63372 2593 10 Takes take VBZ 63372 2593 11 the the DT 63372 2593 12 Place Place NNP 63372 2593 13 of of IN 63372 2593 14 Physics Physics NNP 63372 2593 15 , , , 63372 2593 16 and and CC 63372 2593 17 Curvature curvature JJ 63372 2593 18 That that DT 63372 2593 19 of of IN 63372 2593 20 Force force NN 63372 2593 21 BY by IN 63372 2593 22 GEORGE GEORGE NNP 63372 2593 23 FREDERICK FREDERICK NNP 63372 2593 24 HEMENS HEMENS NNP 63372 2593 25 , , , 63372 2593 26 M.C. M.C. NNP 63372 2593 27 , , , 63372 2593 28 B.SC B.SC NNP 63372 2593 29 . . NNP 63372 2593 30 , , , 63372 2593 31 LONDON LONDON NNP 63372 2593 32 It -PRON- PRP 63372 2593 33 is be VBZ 63372 2593 34 familiar familiar JJ 63372 2593 35 knowledge knowledge NN 63372 2593 36 that that IN 63372 2593 37 the the DT 63372 2593 38 line line NN 63372 2593 39 , , , 63372 2593 40 the the DT 63372 2593 41 surface surface NN 63372 2593 42 and and CC 63372 2593 43 ordinary ordinary JJ 63372 2593 44 Euclidean euclidean JJ 63372 2593 45 space space NN 63372 2593 46 are be VBP 63372 2593 47 to to TO 63372 2593 48 be be VB 63372 2593 49 regarded regard VBN 63372 2593 50 as as IN 63372 2593 51 spaces space NNS 63372 2593 52 of of IN 63372 2593 53 one one CD 63372 2593 54 , , , 63372 2593 55 two two CD 63372 2593 56 and and CC 63372 2593 57 three three CD 63372 2593 58 dimensions dimension NNS 63372 2593 59 respectively respectively RB 63372 2593 60 and and CC 63372 2593 61 readers reader NNS 63372 2593 62 of of IN 63372 2593 63 this this DT 63372 2593 64 journal journal NN 63372 2593 65 are be VBP 63372 2593 66 aware aware JJ 63372 2593 67 that that IN 63372 2593 68 a a DT 63372 2593 69 hypothetical hypothetical JJ 63372 2593 70 space space NN 63372 2593 71 of of IN 63372 2593 72 four four CD 63372 2593 73 dimensions dimension NNS 63372 2593 74 has have VBZ 63372 2593 75 been be VBN 63372 2593 76 closely closely RB 63372 2593 77 investigated investigate VBN 63372 2593 78 . . . 63372 2594 1 The the DT 63372 2594 2 most most RBS 63372 2594 3 convenient convenient JJ 63372 2594 4 space space NN 63372 2594 5 to to TO 63372 2594 6 study study VB 63372 2594 7 is be VBZ 63372 2594 8 the the DT 63372 2594 9 surface surface NN 63372 2594 10 or or CC 63372 2594 11 two two CD 63372 2594 12 - - HYPH 63372 2594 13 space space NN 63372 2594 14 , , , 63372 2594 15 since since IN 63372 2594 16 we -PRON- PRP 63372 2594 17 can can MD 63372 2594 18 regard regard VB 63372 2594 19 it -PRON- PRP 63372 2594 20 as as IN 63372 2594 21 embedded embed VBN 63372 2594 22 in in IN 63372 2594 23 a a DT 63372 2594 24 three three CD 63372 2594 25 - - HYPH 63372 2594 26 space space NN 63372 2594 27 . . . 63372 2595 1 If if IN 63372 2595 2 a a DT 63372 2595 3 surface surface NN 63372 2595 4 is be VBZ 63372 2595 5 curved curve VBN 63372 2595 6 it -PRON- PRP 63372 2595 7 is be VBZ 63372 2595 8 generally generally RB 63372 2595 9 impossible impossible JJ 63372 2595 10 to to TO 63372 2595 11 draw draw VB 63372 2595 12 a a DT 63372 2595 13 straight straight JJ 63372 2595 14 line line NN 63372 2595 15 on on IN 63372 2595 16 it -PRON- PRP 63372 2595 17 , , , 63372 2595 18 for for IN 63372 2595 19 as as IN 63372 2595 20 we -PRON- PRP 63372 2595 21 see see VBP 63372 2595 22 clearly clearly RB 63372 2595 23 , , , 63372 2595 24 the the DT 63372 2595 25 " " `` 63372 2595 26 straightest straightest NN 63372 2595 27 " " '' 63372 2595 28 line line NN 63372 2595 29 is be VBZ 63372 2595 30 changing change VBG 63372 2595 31 its -PRON- PRP$ 63372 2595 32 direction direction NN 63372 2595 33 at at IN 63372 2595 34 every every DT 63372 2595 35 point point NN 63372 2595 36 . . . 63372 2596 1 To to TO 63372 2596 2 describe describe VB 63372 2596 3 this this DT 63372 2596 4 property property NN 63372 2596 5 accurately accurately RB 63372 2596 6 it -PRON- PRP 63372 2596 7 is be VBZ 63372 2596 8 necessary necessary JJ 63372 2596 9 to to TO 63372 2596 10 ascribe ascribe VB 63372 2596 11 to to IN 63372 2596 12 each each DT 63372 2596 13 point point NN 63372 2596 14 a a DT 63372 2596 15 magnitude magnitude NN 63372 2596 16 which which WDT 63372 2596 17 expresses express VBZ 63372 2596 18 what what WP 63372 2596 19 happens happen VBZ 63372 2596 20 to to IN 63372 2596 21 the the DT 63372 2596 22 direction direction NN 63372 2596 23 of of IN 63372 2596 24 a a DT 63372 2596 25 short short JJ 63372 2596 26 line line NN 63372 2596 27 in in IN 63372 2596 28 the the DT 63372 2596 29 region region NN 63372 2596 30 when when WRB 63372 2596 31 displaced displace VBD 63372 2596 32 a a DT 63372 2596 33 short short JJ 63372 2596 34 distance distance NN 63372 2596 35 parallel parallel JJ 63372 2596 36 to to IN 63372 2596 37 itself -PRON- PRP 63372 2596 38 . . . 63372 2597 1 This this DT 63372 2597 2 is be VBZ 63372 2597 3 called call VBN 63372 2597 4 the the DT 63372 2597 5 direction direction NN 63372 2597 6 - - HYPH 63372 2597 7 defining define VBG 63372 2597 8 magnitude magnitude NN 63372 2597 9 . . . 63372 2598 1 Different different JJ 63372 2598 2 sets set NNS 63372 2598 3 of of IN 63372 2598 4 values value NNS 63372 2598 5 of of IN 63372 2598 6 this this DT 63372 2598 7 magnitude magnitude NN 63372 2598 8 relate relate NN 63372 2598 9 to to IN 63372 2598 10 surfaces surface NNS 63372 2598 11 of of IN 63372 2598 12 different different JJ 63372 2598 13 curvatures curvature NNS 63372 2598 14 . . . 63372 2599 1 A a DT 63372 2599 2 second second JJ 63372 2599 3 fundamental fundamental JJ 63372 2599 4 property property NN 63372 2599 5 has have VBZ 63372 2599 6 recently recently RB 63372 2599 7 been be VBN 63372 2599 8 pointed point VBN 63372 2599 9 out out RP 63372 2599 10 . . . 63372 2600 1 There there EX 63372 2600 2 is be VBZ 63372 2600 3 inherent inherent JJ 63372 2600 4 in in IN 63372 2600 5 every every DT 63372 2600 6 part part NN 63372 2600 7 of of IN 63372 2600 8 a a DT 63372 2600 9 space space NN 63372 2600 10 a a DT 63372 2600 11 measure measure NN 63372 2600 12 of of IN 63372 2600 13 length length NN 63372 2600 14 peculiar peculiar JJ 63372 2600 15 to to IN 63372 2600 16 that that DT 63372 2600 17 particular particular JJ 63372 2600 18 region region NN 63372 2600 19 and and CC 63372 2600 20 which which WDT 63372 2600 21 in in IN 63372 2600 22 general general JJ 63372 2600 23 varies varie NNS 63372 2600 24 from from IN 63372 2600 25 region region NN 63372 2600 26 to to IN 63372 2600 27 region region NN 63372 2600 28 . . . 63372 2601 1 To to TO 63372 2601 2 describe describe VB 63372 2601 3 this this DT 63372 2601 4 variation variation NN 63372 2601 5 accurately accurately RB 63372 2601 6 it -PRON- PRP 63372 2601 7 is be VBZ 63372 2601 8 necessary necessary JJ 63372 2601 9 to to TO 63372 2601 10 ascribe ascribe VB 63372 2601 11 to to IN 63372 2601 12 each each DT 63372 2601 13 point point NN 63372 2601 14 another another DT 63372 2601 15 magnitude magnitude NN 63372 2601 16 called call VBD 63372 2601 17 the the DT 63372 2601 18 length length NN 63372 2601 19 - - HYPH 63372 2601 20 defining define VBG 63372 2601 21 magnitude magnitude NN 63372 2601 22 , , , 63372 2601 23 which which WDT 63372 2601 24 expresses express VBZ 63372 2601 25 the the DT 63372 2601 26 change change NN 63372 2601 27 from from IN 63372 2601 28 each each DT 63372 2601 29 point point NN 63372 2601 30 to to IN 63372 2601 31 the the DT 63372 2601 32 next next JJ 63372 2601 33 of of IN 63372 2601 34 the the DT 63372 2601 35 unit unit NN 63372 2601 36 of of IN 63372 2601 37 length length NN 63372 2601 38 . . . 63372 2602 1 These these DT 63372 2602 2 two two CD 63372 2602 3 magnitudes magnitude NNS 63372 2602 4 define define VBP 63372 2602 5 the the DT 63372 2602 6 surface surface NN 63372 2602 7 completely completely RB 63372 2602 8 . . . 63372 2603 1 Similarly similarly RB 63372 2603 2 , , , 63372 2603 3 a a DT 63372 2603 4 space space NN 63372 2603 5 of of IN 63372 2603 6 any any DT 63372 2603 7 number number NN 63372 2603 8 of of IN 63372 2603 9 dimensions dimension NNS 63372 2603 10 is be VBZ 63372 2603 11 defined define VBN 63372 2603 12 completely completely RB 63372 2603 13 by by IN 63372 2603 14 a a DT 63372 2603 15 similar similar JJ 63372 2603 16 pair pair NN 63372 2603 17 of of IN 63372 2603 18 magnitudes magnitude NNS 63372 2603 19 . . . 63372 2604 1 A a DT 63372 2604 2 space space NN 63372 2604 3 is be VBZ 63372 2604 4 the the DT 63372 2604 5 " " `` 63372 2604 6 field field NN 63372 2604 7 " " '' 63372 2604 8 of of IN 63372 2604 9 such such PDT 63372 2604 10 a a DT 63372 2604 11 magnitude magnitude NN 63372 2604 12 - - HYPH 63372 2604 13 pair pair NN 63372 2604 14 and and CC 63372 2604 15 the the DT 63372 2604 16 nature nature NN 63372 2604 17 of of IN 63372 2604 18 these these DT 63372 2604 19 magnitudes magnitude NNS 63372 2604 20 defines define VBZ 63372 2604 21 the the DT 63372 2604 22 dimensions dimension NNS 63372 2604 23 of of IN 63372 2604 24 the the DT 63372 2604 25 space space NN 63372 2604 26 . . . 63372 2605 1 The the DT 63372 2605 2 four four CD 63372 2605 3 - - HYPH 63372 2605 4 space space NN 63372 2605 5 usually usually RB 63372 2605 6 described describe VBN 63372 2605 7 is be VBZ 63372 2605 8 the the DT 63372 2605 9 Euclidean euclidean JJ 63372 2605 10 member member NN 63372 2605 11 of of IN 63372 2605 12 an an DT 63372 2605 13 infinity infinity NN 63372 2605 14 of of IN 63372 2605 15 four four CD 63372 2605 16 - - HYPH 63372 2605 17 spaces space NNS 63372 2605 18 . . . 63372 2606 1 When when WRB 63372 2606 2 we -PRON- PRP 63372 2606 3 look look VBP 63372 2606 4 into into IN 63372 2606 5 a a DT 63372 2606 6 mirror mirror NN 63372 2606 7 we -PRON- PRP 63372 2606 8 see see VBP 63372 2606 9 a a DT 63372 2606 10 space space NN 63372 2606 11 differing differ VBG 63372 2606 12 from from IN 63372 2606 13 ordinary ordinary JJ 63372 2606 14 space space NN 63372 2606 15 in in IN 63372 2606 16 that that DT 63372 2606 17 right right NN 63372 2606 18 and and CC 63372 2606 19 left leave VBD 63372 2606 20 are be VBP 63372 2606 21 interchanged interchange VBN 63372 2606 22 and and CC 63372 2606 23 this this DT 63372 2606 24 is be VBZ 63372 2606 25 described describe VBN 63372 2606 26 mathematically mathematically RB 63372 2606 27 by by IN 63372 2606 28 saying say VBG 63372 2606 29 that that IN 63372 2606 30 if if IN 63372 2606 31 we -PRON- PRP 63372 2606 32 locate locate VBP 63372 2606 33 points point NNS 63372 2606 34 as as IN 63372 2606 35 usual usual JJ 63372 2606 36 by by IN 63372 2606 37 specifying specify VBG 63372 2606 38 three three CD 63372 2606 39 distances distance NNS 63372 2606 40 $ $ $ 63372 2606 41 X_1 x_1 NN 63372 2606 42 $ $ $ 63372 2606 43 , , , 63372 2606 44 $ $ $ 63372 2606 45 X_2 x_2 NN 63372 2606 46 $ $ $ 63372 2606 47 , , , 63372 2606 48 $ $ $ 63372 2606 49 X_3 x_3 NN 63372 2606 50 $ $ $ 63372 2606 51 of of IN 63372 2606 52 the the DT 63372 2606 53 point point NN 63372 2606 54 from from IN 63372 2606 55 three three CD 63372 2606 56 mutually mutually RB 63372 2606 57 perpendicular perpendicular JJ 63372 2606 58 planes plane NNS 63372 2606 59 , , , 63372 2606 60 then then RB 63372 2606 61 a a DT 63372 2606 62 point point NN 63372 2606 63 $ $ $ 63372 2606 64 X_1 x_1 NN 63372 2606 65 $ $ $ 63372 2606 66 , , , 63372 2606 67 $ $ $ 63372 2606 68 X_2 x_2 NN 63372 2606 69 $ $ $ 63372 2606 70 , , , 63372 2606 71 $ $ $ 63372 2606 72 X_3 x_3 NN 63372 2606 73 $ $ $ 63372 2606 74 , , , 63372 2606 75 in in IN 63372 2606 76 actual actual JJ 63372 2606 77 space space NN 63372 2606 78 corresponds correspond NNS 63372 2606 79 with with IN 63372 2606 80 a a DT 63372 2606 81 point point NN 63372 2606 82 $ $ $ 63372 2606 83 X_1 x_1 NN 63372 2606 84 $ $ $ 63372 2606 85 , , , 63372 2606 86 $ $ $ 63372 2606 87 X_2 x_2 NN 63372 2606 88 $ $ $ 63372 2606 89 , , , 63372 2606 90 $ $ $ 63372 2606 91 -X_3 -x_3 CD 63372 2606 92 $ $ $ 63372 2606 93 in in IN 63372 2606 94 the the DT 63372 2606 95 mirrored mirror VBN 63372 2606 96 space space NN 63372 2606 97 : : : 63372 2606 98 in in IN 63372 2606 99 other other JJ 63372 2606 100 words word NNS 63372 2606 101 the the DT 63372 2606 102 mirrored mirror VBN 63372 2606 103 space space NN 63372 2606 104 is be VBZ 63372 2606 105 derived derive VBN 63372 2606 106 from from IN 63372 2606 107 the the DT 63372 2606 108 real real JJ 63372 2606 109 space space NN 63372 2606 110 by by IN 63372 2606 111 multiplying multiply VBG 63372 2606 112 the the DT 63372 2606 113 $ $ $ 63372 2606 114 X_3 x_3 NN 63372 2606 115 $ $ $ 63372 2606 116 coordinates coordinate NNS 63372 2606 117 by by IN 63372 2606 118 $ $ $ 63372 2606 119 -1$. -1$. . 63372 2607 1 If if IN 63372 2607 2 we -PRON- PRP 63372 2607 3 were be VBD 63372 2607 4 to to TO 63372 2607 5 multiply multiply VB 63372 2607 6 by by IN 63372 2607 7 $ $ $ 63372 2607 8 \sqrt{-1}$ \sqrt{-1}$ NN 63372 2607 9 instead instead RB 63372 2607 10 of of IN 63372 2607 11 $ $ $ 63372 2607 12 -1 -1 . 63372 2607 13 $ $ $ 63372 2607 14 we -PRON- PRP 63372 2607 15 should should MD 63372 2607 16 derive derive VB 63372 2607 17 a a DT 63372 2607 18 different different JJ 63372 2607 19 space space NN 63372 2607 20 ; ; : 63372 2607 21 in in IN 63372 2607 22 this this DT 63372 2607 23 case case NN 63372 2607 24 , , , 63372 2607 25 however however RB 63372 2607 26 , , , 63372 2607 27 we -PRON- PRP 63372 2607 28 have have VBP 63372 2607 29 no no DT 63372 2607 30 mirror mirror NN 63372 2607 31 to to TO 63372 2607 32 show show VB 63372 2607 33 us -PRON- PRP 63372 2607 34 what what WP 63372 2607 35 it -PRON- PRP 63372 2607 36 looks look VBZ 63372 2607 37 like like IN 63372 2607 38 . . . 63372 2608 1 Such such PDT 63372 2608 2 a a DT 63372 2608 3 space space NN 63372 2608 4 is be VBZ 63372 2608 5 said say VBN 63372 2608 6 to to TO 63372 2608 7 have have VB 63372 2608 8 one one CD 63372 2608 9 negative negative JJ 63372 2608 10 dimension dimension NN 63372 2608 11 and and CC 63372 2608 12 it -PRON- PRP 63372 2608 13 has have VBZ 63372 2608 14 the the DT 63372 2608 15 peculiar peculiar JJ 63372 2608 16 property property NN 63372 2608 17 that that WDT 63372 2608 18 in in IN 63372 2608 19 the the DT 63372 2608 20 figure figure NN 63372 2608 21 derived derive VBN 63372 2608 22 from from IN 63372 2608 23 the the DT 63372 2608 24 right right JJ 63372 2608 25 triangle triangle NN 63372 2608 26 of of IN 63372 2608 27 ordinary ordinary JJ 63372 2608 28 space space NN 63372 2608 29 the the DT 63372 2608 30 square square NN 63372 2608 31 of of IN 63372 2608 32 the the DT 63372 2608 33 " " `` 63372 2608 34 hypotenuse hypotenuse NN 63372 2608 35 " " '' 63372 2608 36 equals equal VBZ 63372 2608 37 the the DT 63372 2608 38 difference difference NN 63372 2608 39 and and CC 63372 2608 40 not not RB 63372 2608 41 the the DT 63372 2608 42 sum sum NN 63372 2608 43 of of IN 63372 2608 44 the the DT 63372 2608 45 squares square NNS 63372 2608 46 of of IN 63372 2608 47 the the DT 63372 2608 48 other other JJ 63372 2608 49 two two CD 63372 2608 50 sides side NNS 63372 2608 51 , , , 63372 2608 52 so so IN 63372 2608 53 that that IN 63372 2608 54 the the DT 63372 2608 55 length length NN 63372 2608 56 of of IN 63372 2608 57 a a DT 63372 2608 58 line line NN 63372 2608 59 may may MD 63372 2608 60 sometimes sometimes RB 63372 2608 61 have have VB 63372 2608 62 to to TO 63372 2608 63 be be VB 63372 2608 64 represented represent VBN 63372 2608 65 by by IN 63372 2608 66 the the DT 63372 2608 67 square square JJ 63372 2608 68 - - HYPH 63372 2608 69 root root NN 63372 2608 70 of of IN 63372 2608 71 a a DT 63372 2608 72 negative negative JJ 63372 2608 73 number number NN 63372 2608 74 , , , 63372 2608 75 a a DT 63372 2608 76 " " `` 63372 2608 77 complex complex JJ 63372 2608 78 " " '' 63372 2608 79 number number NN 63372 2608 80 . . . 63372 2609 1 In in IN 63372 2609 2 considering consider VBG 63372 2609 3 what what WP 63372 2609 4 at at IN 63372 2609 5 first first JJ 63372 2609 6 sight sight NN 63372 2609 7 may may MD 63372 2609 8 appear appear VB 63372 2609 9 to to TO 63372 2609 10 be be VB 63372 2609 11 fantastic fantastic JJ 63372 2609 12 statements statement NNS 63372 2609 13 made make VBN 63372 2609 14 by by IN 63372 2609 15 this this DT 63372 2609 16 theory theory NN 63372 2609 17 , , , 63372 2609 18 it -PRON- PRP 63372 2609 19 must must MD 63372 2609 20 be be VB 63372 2609 21 borne bear VBN 63372 2609 22 in in IN 63372 2609 23 mind mind NN 63372 2609 24 that that IN 63372 2609 25 all all PDT 63372 2609 26 our -PRON- PRP$ 63372 2609 27 knowledge knowledge NN 63372 2609 28 of of IN 63372 2609 29 the the DT 63372 2609 30 external external JJ 63372 2609 31 universe universe NN 63372 2609 32 comes come VBZ 63372 2609 33 through through IN 63372 2609 34 our -PRON- PRP$ 63372 2609 35 sense sense NN 63372 2609 36 - - HYPH 63372 2609 37 impressions impression NNS 63372 2609 38 , , , 63372 2609 39 and and CC 63372 2609 40 our -PRON- PRP$ 63372 2609 41 most most RBS 63372 2609 42 confident confident JJ 63372 2609 43 statements statement NNS 63372 2609 44 about about IN 63372 2609 45 external external JJ 63372 2609 46 things thing NNS 63372 2609 47 are be VBP 63372 2609 48 really really RB 63372 2609 49 of of IN 63372 2609 50 the the DT 63372 2609 51 nature nature NN 63372 2609 52 of of IN 63372 2609 53 inferences inference NNS 63372 2609 54 from from IN 63372 2609 55 these these DT 63372 2609 56 sense sense NN 63372 2609 57 - - HYPH 63372 2609 58 impressions impression NNS 63372 2609 59 and and CC 63372 2609 60 , , , 63372 2609 61 being be VBG 63372 2609 62 inferences inference NNS 63372 2609 63 , , , 63372 2609 64 liable liable JJ 63372 2609 65 to to TO 63372 2609 66 be be VB 63372 2609 67 wrong wrong JJ 63372 2609 68 . . . 63372 2610 1 So so RB 63372 2610 2 that that IN 63372 2610 3 if if IN 63372 2610 4 the the DT 63372 2610 5 theory theory NN 63372 2610 6 says say VBZ 63372 2610 7 that that IN 63372 2610 8 a a DT 63372 2610 9 stone stone NN 63372 2610 10 lying lie VBG 63372 2610 11 on on IN 63372 2610 12 the the DT 63372 2610 13 ground ground NN 63372 2610 14 is be VBZ 63372 2610 15 not not RB 63372 2610 16 a a DT 63372 2610 17 simple simple JJ 63372 2610 18 three three CD 63372 2610 19 - - HYPH 63372 2610 20 dimensional dimensional JJ 63372 2610 21 object object NN 63372 2610 22 , , , 63372 2610 23 and and CC 63372 2610 24 that that IN 63372 2610 25 its -PRON- PRP$ 63372 2610 26 substance substance NN 63372 2610 27 is be VBZ 63372 2610 28 not not RB 63372 2610 29 the the DT 63372 2610 30 same same JJ 63372 2610 31 as as IN 63372 2610 32 its -PRON- PRP$ 63372 2610 33 substance substance NN 63372 2610 34 a a DT 63372 2610 35 moment moment NN 63372 2610 36 before before RB 63372 2610 37 , , , 63372 2610 38 the the DT 63372 2610 39 matter matter NN 63372 2610 40 is be VBZ 63372 2610 41 one one CD 63372 2610 42 for for IN 63372 2610 43 due due JJ 63372 2610 44 consideration consideration NN 63372 2610 45 and and CC 63372 2610 46 not not RB 63372 2610 47 immediate immediate JJ 63372 2610 48 disbelief disbelief NN 63372 2610 49 . . . 63372 2611 1 The the DT 63372 2611 2 idea idea NN 63372 2611 3 that that IN 63372 2611 4 the the DT 63372 2611 5 universe universe NN 63372 2611 6 extends extend VBZ 63372 2611 7 in in IN 63372 2611 8 time time NN 63372 2611 9 as as RB 63372 2611 10 well well RB 63372 2611 11 as as IN 63372 2611 12 in in IN 63372 2611 13 space space NN 63372 2611 14 is be VBZ 63372 2611 15 not not RB 63372 2611 16 new new JJ 63372 2611 17 , , , 63372 2611 18 and and CC 63372 2611 19 fiction fiction NN 63372 2611 20 - - HYPH 63372 2611 21 writers writer NNS 63372 2611 22 have have VBP 63372 2611 23 familiarized familiarize VBN 63372 2611 24 us -PRON- PRP 63372 2611 25 with with IN 63372 2611 26 wonderful wonderful JJ 63372 2611 27 machines machine NNS 63372 2611 28 in in IN 63372 2611 29 which which WDT 63372 2611 30 travellers traveller NNS 63372 2611 31 journey journey NN 63372 2611 32 in in IN 63372 2611 33 time time NN 63372 2611 34 and and CC 63372 2611 35 are be VBP 63372 2611 36 present present JJ 63372 2611 37 at at IN 63372 2611 38 various various JJ 63372 2611 39 stages stage NNS 63372 2611 40 of of IN 63372 2611 41 the the DT 63372 2611 42 world world NN 63372 2611 43 's 's POS 63372 2611 44 history history NN 63372 2611 45 . . . 63372 2612 1 This this DT 63372 2612 2 conception conception NN 63372 2612 3 of of IN 63372 2612 4 the the DT 63372 2612 5 universe universe NN 63372 2612 6 , , , 63372 2612 7 to to TO 63372 2612 8 which which WDT 63372 2612 9 the the DT 63372 2612 10 name name NN 63372 2612 11 " " `` 63372 2612 12 space space NN 63372 2612 13 - - HYPH 63372 2612 14 time time NN 63372 2612 15 " " '' 63372 2612 16 is be VBZ 63372 2612 17 usually usually RB 63372 2612 18 applied apply VBN 63372 2612 19 , , , 63372 2612 20 is be VBZ 63372 2612 21 adopted adopt VBN 63372 2612 22 by by IN 63372 2612 23 the the DT 63372 2612 24 new new JJ 63372 2612 25 theory theory NN 63372 2612 26 and and CC 63372 2612 27 assigned assign VBD 63372 2612 28 the the DT 63372 2612 29 status status NN 63372 2612 30 of of IN 63372 2612 31 a a DT 63372 2612 32 physical physical JJ 63372 2612 33 reality reality NN 63372 2612 34 . . . 63372 2613 1 THE the DT 63372 2613 2 WORLD world NN 63372 2613 3 GEOMETRY geometry VBP 63372 2613 4 The the DT 63372 2613 5 fundamental fundamental JJ 63372 2613 6 creed creed NN 63372 2613 7 of of IN 63372 2613 8 the the DT 63372 2613 9 new new JJ 63372 2613 10 theory theory NN 63372 2613 11 is be VBZ 63372 2613 12 that that IN 63372 2613 13 the the DT 63372 2613 14 space space NN 63372 2613 15 - - HYPH 63372 2613 16 time time NN 63372 2613 17 universe universe NN 63372 2613 18 constitutes constitute VBZ 63372 2613 19 a a DT 63372 2613 20 true true JJ 63372 2613 21 four four CD 63372 2613 22 - - HYPH 63372 2613 23 dimensional dimensional JJ 63372 2613 24 space space NN 63372 2613 25 of of IN 63372 2613 26 one one CD 63372 2613 27 negative negative JJ 63372 2613 28 dimension dimension NN 63372 2613 29 , , , 63372 2613 30 this this DT 63372 2613 31 dimension dimension NN 63372 2613 32 being be VBG 63372 2613 33 time time NN 63372 2613 34 . . . 63372 2614 1 The the DT 63372 2614 2 variations variation NNS 63372 2614 3 from from IN 63372 2614 4 point point NN 63372 2614 5 to to IN 63372 2614 6 point point NN 63372 2614 7 of of IN 63372 2614 8 the the DT 63372 2614 9 direction direction NN 63372 2614 10 - - HYPH 63372 2614 11 defining define VBG 63372 2614 12 and and CC 63372 2614 13 length length NN 63372 2614 14 - - HYPH 63372 2614 15 defining define VBG 63372 2614 16 magnitudes magnitude NNS 63372 2614 17 generate generate VBP 63372 2614 18 the the DT 63372 2614 19 geometrical geometrical JJ 63372 2614 20 properties property NNS 63372 2614 21 of of IN 63372 2614 22 curvature curvature NN 63372 2614 23 , , , 63372 2614 24 etc etc FW 63372 2614 25 . . FW 63372 2614 26 , , , 63372 2614 27 and and CC 63372 2614 28 these these DT 63372 2614 29 are be VBP 63372 2614 30 cognised cognise VBN 63372 2614 31 by by IN 63372 2614 32 the the DT 63372 2614 33 human human JJ 63372 2614 34 mind mind NN 63372 2614 35 as as IN 63372 2614 36 physical physical JJ 63372 2614 37 phenomena phenomenon NNS 63372 2614 38 : : : 63372 2614 39 our -PRON- PRP$ 63372 2614 40 sense sense NN 63372 2614 41 - - HYPH 63372 2614 42 impressions impression NNS 63372 2614 43 are be VBP 63372 2614 44 nothing nothing NN 63372 2614 45 more more JJR 63372 2614 46 nor nor CC 63372 2614 47 less less JJR 63372 2614 48 than than IN 63372 2614 49 perceptions perception NNS 63372 2614 50 of of IN 63372 2614 51 the the DT 63372 2614 52 geometry geometry NN 63372 2614 53 of of IN 63372 2614 54 a a DT 63372 2614 55 fourspace fourspace NN 63372 2614 56 . . . 63372 2615 1 So so RB 63372 2615 2 instead instead RB 63372 2615 3 of of IN 63372 2615 4 inferring infer VBG 63372 2615 5 from from IN 63372 2615 6 our -PRON- PRP$ 63372 2615 7 sense sense NN 63372 2615 8 - - HYPH 63372 2615 9 impressions impression NNS 63372 2615 10 the the DT 63372 2615 11 existence existence NN 63372 2615 12 of of IN 63372 2615 13 matter matter NN 63372 2615 14 , , , 63372 2615 15 motion motion NN 63372 2615 16 and and CC 63372 2615 17 the the DT 63372 2615 18 like like JJ 63372 2615 19 as as IN 63372 2615 20 we -PRON- PRP 63372 2615 21 are be VBP 63372 2615 22 accustomed accustomed JJ 63372 2615 23 to to TO 63372 2615 24 do do VB 63372 2615 25 , , , 63372 2615 26 we -PRON- PRP 63372 2615 27 should should MD 63372 2615 28 with with IN 63372 2615 29 equal equal JJ 63372 2615 30 justice justice NN 63372 2615 31 infer infer VBP 63372 2615 32 the the DT 63372 2615 33 existence existence NN 63372 2615 34 of of IN 63372 2615 35 a a DT 63372 2615 36 geometrical geometrical JJ 63372 2615 37 fourspace fourspace NN 63372 2615 38 . . . 63372 2616 1 Thus thus RB 63372 2616 2 it -PRON- PRP 63372 2616 3 becomes become VBZ 63372 2616 4 necessary necessary JJ 63372 2616 5 to to TO 63372 2616 6 prepare prepare VB 63372 2616 7 a a DT 63372 2616 8 dictionary dictionary NN 63372 2616 9 in in IN 63372 2616 10 which which WDT 63372 2616 11 the the DT 63372 2616 12 familiar familiar JJ 63372 2616 13 things thing NNS 63372 2616 14 of of IN 63372 2616 15 our -PRON- PRP$ 63372 2616 16 world world NN 63372 2616 17 are be VBP 63372 2616 18 identified identify VBN 63372 2616 19 with with IN 63372 2616 20 those those DT 63372 2616 21 geometrical geometrical JJ 63372 2616 22 properties property NNS 63372 2616 23 of of IN 63372 2616 24 the the DT 63372 2616 25 four four CD 63372 2616 26 - - HYPH 63372 2616 27 space space NN 63372 2616 28 which which WDT 63372 2616 29 really really RB 63372 2616 30 constitute constitute VBP 63372 2616 31 them -PRON- PRP 63372 2616 32 , , , 63372 2616 33 and and CC 63372 2616 34 in in IN 63372 2616 35 so so RB 63372 2616 36 doing do VBG 63372 2616 37 parts part NNS 63372 2616 38 of of IN 63372 2616 39 our -PRON- PRP$ 63372 2616 40 geometrical geometrical JJ 63372 2616 41 knowledge knowledge NN 63372 2616 42 assume assume VBP 63372 2616 43 the the DT 63372 2616 44 guise guise NN 63372 2616 45 of of IN 63372 2616 46 new new JJ 63372 2616 47 physical physical JJ 63372 2616 48 knowledge knowledge NN 63372 2616 49 . . . 63372 2617 1 Through through IN 63372 2617 2 the the DT 63372 2617 3 fourspace fourspace NN 63372 2617 4 our -PRON- PRP$ 63372 2617 5 consciousness consciousness NN 63372 2617 6 travels travel NNS 63372 2617 7 , , , 63372 2617 8 cognising cognise VBG 63372 2617 9 a a DT 63372 2617 10 changing change VBG 63372 2617 11 three three CD 63372 2617 12 - - HYPH 63372 2617 13 dimensional dimensional JJ 63372 2617 14 section section NN 63372 2617 15 of of IN 63372 2617 16 it -PRON- PRP 63372 2617 17 as as IN 63372 2617 18 it -PRON- PRP 63372 2617 19 goes go VBZ 63372 2617 20 and and CC 63372 2617 21 thus thus RB 63372 2617 22 giving give VBG 63372 2617 23 rise rise NN 63372 2617 24 to to IN 63372 2617 25 time time NN 63372 2617 26 . . . 63372 2618 1 It -PRON- PRP 63372 2618 2 becomes become VBZ 63372 2618 3 aware aware JJ 63372 2618 4 that that IN 63372 2618 5 the the DT 63372 2618 6 fourspace fourspace NN 63372 2618 7 is be VBZ 63372 2618 8 pleated pleat VBN 63372 2618 9 or or CC 63372 2618 10 folded fold VBN 63372 2618 11 along along IN 63372 2618 12 lines line NNS 63372 2618 13 all all DT 63372 2618 14 running run VBG 63372 2618 15 roughly roughly RB 63372 2618 16 in in IN 63372 2618 17 the the DT 63372 2618 18 same same JJ 63372 2618 19 direction direction NN 63372 2618 20 , , , 63372 2618 21 and and CC 63372 2618 22 possibly possibly RB 63372 2618 23 because because IN 63372 2618 24 this this DT 63372 2618 25 is be VBZ 63372 2618 26 the the DT 63372 2618 27 easiest easy JJS 63372 2618 28 direction direction NN 63372 2618 29 to to TO 63372 2618 30 follow follow VB 63372 2618 31 , , , 63372 2618 32 it -PRON- PRP 63372 2618 33 travels travel VBZ 63372 2618 34 along along IN 63372 2618 35 the the DT 63372 2618 36 lines line NNS 63372 2618 37 . . . 63372 2619 1 The the DT 63372 2619 2 direction direction NN 63372 2619 3 of of IN 63372 2619 4 this this DT 63372 2619 5 motion motion NN 63372 2619 6 is be VBZ 63372 2619 7 the the DT 63372 2619 8 negative negative JJ 63372 2619 9 dimension dimension NN 63372 2619 10 . . . 63372 2620 1 Thus thus RB 63372 2620 2 consciousness consciousness NN 63372 2620 3 is be VBZ 63372 2620 4 always always RB 63372 2620 5 aware aware JJ 63372 2620 6 of of IN 63372 2620 7 the the DT 63372 2620 8 nearly nearly RB 63372 2620 9 constant constant JJ 63372 2620 10 forms form NNS 63372 2620 11 of of IN 63372 2620 12 the the DT 63372 2620 13 cross cross NN 63372 2620 14 - - NNS 63372 2620 15 sections section NNS 63372 2620 16 of of IN 63372 2620 17 the the DT 63372 2620 18 pleats pleat NNS 63372 2620 19 along along IN 63372 2620 20 which which WDT 63372 2620 21 it -PRON- PRP 63372 2620 22 travels travel VBZ 63372 2620 23 . . . 63372 2621 1 These these DT 63372 2621 2 unvarying unvarye VBG 63372 2621 3 forms form NNS 63372 2621 4 constitute constitute VBP 63372 2621 5 matter matter NN 63372 2621 6 : : : 63372 2621 7 matter matter NNP 63372 2621 8 is be VBZ 63372 2621 9 the the DT 63372 2621 10 form form NN 63372 2621 11 of of IN 63372 2621 12 a a DT 63372 2621 13 section section NN 63372 2621 14 through through IN 63372 2621 15 a a DT 63372 2621 16 uniform uniform JJ 63372 2621 17 pleat pleat NN 63372 2621 18 of of IN 63372 2621 19 the the DT 63372 2621 20 fourspace fourspace NN 63372 2621 21 -- -- : 63372 2621 22 a a DT 63372 2621 23 three three CD 63372 2621 24 - - HYPH 63372 2621 25 dimensional dimensional JJ 63372 2621 26 aspect aspect NN 63372 2621 27 of of IN 63372 2621 28 a a DT 63372 2621 29 four four CD 63372 2621 30 - - HYPH 63372 2621 31 dimensional dimensional JJ 63372 2621 32 curvature curvature NN 63372 2621 33 ; ; : 63372 2621 34 so so IN 63372 2621 35 that that IN 63372 2621 36 in in IN 63372 2621 37 strict strict JJ 63372 2621 38 accuracy accuracy NN 63372 2621 39 we -PRON- PRP 63372 2621 40 should should MD 63372 2621 41 say say VB 63372 2621 42 that that IN 63372 2621 43 a a DT 63372 2621 44 stone stone NN 63372 2621 45 is be VBZ 63372 2621 46 the the DT 63372 2621 47 shape shape NN 63372 2621 48 or or CC 63372 2621 49 form form NN 63372 2621 50 of of IN 63372 2621 51 a a DT 63372 2621 52 changing change VBG 63372 2621 53 section section NN 63372 2621 54 of of IN 63372 2621 55 a a DT 63372 2621 56 four four CD 63372 2621 57 - - HYPH 63372 2621 58 dimensional dimensional JJ 63372 2621 59 object object NN 63372 2621 60 , , , 63372 2621 61 the the DT 63372 2621 62 complete complete JJ 63372 2621 63 object object NN 63372 2621 64 being be VBG 63372 2621 65 a a DT 63372 2621 66 long long JJ 63372 2621 67 fold fold NN 63372 2621 68 in in IN 63372 2621 69 the the DT 63372 2621 70 fourspace fourspace NN 63372 2621 71 . . . 63372 2622 1 The the DT 63372 2622 2 physical physical JJ 63372 2622 3 interpretation interpretation NN 63372 2622 4 of of IN 63372 2622 5 this this DT 63372 2622 6 conservation conservation NN 63372 2622 7 of of IN 63372 2622 8 form form NN 63372 2622 9 of of IN 63372 2622 10 the the DT 63372 2622 11 cross cross JJ 63372 2622 12 - - NN 63372 2622 13 section section NN 63372 2622 14 is be VBZ 63372 2622 15 that that DT 63372 2622 16 matter matter NN 63372 2622 17 is be VBZ 63372 2622 18 conserved conserve VBN 63372 2622 19 . . . 63372 2623 1 It -PRON- PRP 63372 2623 2 is be VBZ 63372 2623 3 thus thus RB 63372 2623 4 seen see VBN 63372 2623 5 that that IN 63372 2623 6 the the DT 63372 2623 7 conscious conscious JJ 63372 2623 8 mind mind NN 63372 2623 9 , , , 63372 2623 10 by by IN 63372 2623 11 following follow VBG 63372 2623 12 these these DT 63372 2623 13 pleats pleat NNS 63372 2623 14 , , , 63372 2623 15 has have VBZ 63372 2623 16 so so RB 63372 2623 17 determined determine VBN 63372 2623 18 time time NN 63372 2623 19 that that WDT 63372 2623 20 the the DT 63372 2623 21 law law NN 63372 2623 22 of of IN 63372 2623 23 the the DT 63372 2623 24 conservation conservation NN 63372 2623 25 of of IN 63372 2623 26 matter matter NN 63372 2623 27 must must MD 63372 2623 28 hold hold VB 63372 2623 29 . . . 63372 2624 1 The the DT 63372 2624 2 mathematical mathematical JJ 63372 2624 3 treatment treatment NN 63372 2624 4 of of IN 63372 2624 5 the the DT 63372 2624 6 subject subject NN 63372 2624 7 makes make VBZ 63372 2624 8 it -PRON- PRP 63372 2624 9 clear clear JJ 63372 2624 10 that that IN 63372 2624 11 practically practically RB 63372 2624 12 all all DT 63372 2624 13 other other JJ 63372 2624 14 physical physical JJ 63372 2624 15 laws law NNS 63372 2624 16 similarly similarly RB 63372 2624 17 follow follow VBP 63372 2624 18 as as IN 63372 2624 19 a a DT 63372 2624 20 direct direct JJ 63372 2624 21 result result NN 63372 2624 22 of of IN 63372 2624 23 this this DT 63372 2624 24 choice choice NN 63372 2624 25 of of IN 63372 2624 26 time time NN 63372 2624 27 . . . 63372 2625 1 The the DT 63372 2625 2 type type NN 63372 2625 3 of of IN 63372 2625 4 order order NN 63372 2625 5 prevailing prevail VBG 63372 2625 6 in in IN 63372 2625 7 the the DT 63372 2625 8 physical physical JJ 63372 2625 9 universe universe NN 63372 2625 10 , , , 63372 2625 11 the the DT 63372 2625 12 laws law NNS 63372 2625 13 of of IN 63372 2625 14 gravitation gravitation NN 63372 2625 15 , , , 63372 2625 16 heat heat NN 63372 2625 17 , , , 63372 2625 18 motion motion NN 63372 2625 19 and and CC 63372 2625 20 the the DT 63372 2625 21 rest rest NN 63372 2625 22 are be VBP 63372 2625 23 not not RB 63372 2625 24 directly directly RB 63372 2625 25 imposed impose VBN 63372 2625 26 by by IN 63372 2625 27 some some DT 63372 2625 28 external external JJ 63372 2625 29 power power NN 63372 2625 30 , , , 63372 2625 31 but but CC 63372 2625 32 are be VBP 63372 2625 33 apparently apparently RB 63372 2625 34 chosen choose VBN 63372 2625 35 by by IN 63372 2625 36 mind mind NN 63372 2625 37 itself -PRON- PRP 63372 2625 38 . . . 63372 2626 1 In in IN 63372 2626 2 the the DT 63372 2626 3 neighborhood neighborhood NN 63372 2626 4 of of IN 63372 2626 5 these these DT 63372 2626 6 pleats pleat NNS 63372 2626 7 the the DT 63372 2626 8 fourspace fourspace NN 63372 2626 9 is be VBZ 63372 2626 10 still still RB 63372 2626 11 curved curve VBN 63372 2626 12 , , , 63372 2626 13 but but CC 63372 2626 14 to to IN 63372 2626 15 a a DT 63372 2626 16 smaller small JJR 63372 2626 17 degree degree NN 63372 2626 18 . . . 63372 2627 1 This this DT 63372 2627 2 we -PRON- PRP 63372 2627 3 cognise cognise VBP 63372 2627 4 as as IN 63372 2627 5 energy energy NN 63372 2627 6 or or CC 63372 2627 7 as as IN 63372 2627 8 a a DT 63372 2627 9 field field NN 63372 2627 10 of of IN 63372 2627 11 force force NN 63372 2627 12 . . . 63372 2628 1 Thus thus RB 63372 2628 2 energy energy NN 63372 2628 3 is be VBZ 63372 2628 4 seen see VBN 63372 2628 5 to to TO 63372 2628 6 be be VB 63372 2628 7 the the DT 63372 2628 8 same same JJ 63372 2628 9 kind kind NN 63372 2628 10 of of IN 63372 2628 11 thing thing NN 63372 2628 12 as as RB 63372 2628 13 matter matter NN 63372 2628 14 and and CC 63372 2628 15 would would MD 63372 2628 16 therefore therefore RB 63372 2628 17 be be VB 63372 2628 18 expected expect VBN 63372 2628 19 to to TO 63372 2628 20 have have VB 63372 2628 21 weight weight NN 63372 2628 22 . . . 63372 2629 1 This this DT 63372 2629 2 was be VBD 63372 2629 3 experimentally experimentally RB 63372 2629 4 demonstrated demonstrate VBN 63372 2629 5 in in IN 63372 2629 6 1919 1919 CD 63372 2629 7 when when WRB 63372 2629 8 light light NN 63372 2629 9 was be VBD 63372 2629 10 in in IN 63372 2629 11 effect effect NN 63372 2629 12 actually actually RB 63372 2629 13 weighed weigh VBD 63372 2629 14 . . . 63372 2630 1 Conversely conversely RB 63372 2630 2 , , , 63372 2630 3 matter matter NN 63372 2630 4 consists consist VBZ 63372 2630 5 of of IN 63372 2630 6 energy energy NN 63372 2630 7 ; ; : 63372 2630 8 and and CC 63372 2630 9 it -PRON- PRP 63372 2630 10 is be VBZ 63372 2630 11 calculated calculate VBN 63372 2630 12 that that IN 63372 2630 13 one one CD 63372 2630 14 liter liter NN 63372 2630 15 of of IN 63372 2630 16 water water NN 63372 2630 17 contains contain VBZ 63372 2630 18 sufficient sufficient JJ 63372 2630 19 energy energy NN 63372 2630 20 to to TO 63372 2630 21 develop develop VB 63372 2630 22 a a DT 63372 2630 23 million million CD 63372 2630 24 horsepower horsepower NN 63372 2630 25 for for IN 63372 2630 26 about about RB 63372 2630 27 four four CD 63372 2630 28 years year NNS 63372 2630 29 . . . 63372 2631 1 It -PRON- PRP 63372 2631 2 is be VBZ 63372 2631 3 now now RB 63372 2631 4 believed believe VBN 63372 2631 5 that that IN 63372 2631 6 the the DT 63372 2631 7 sun sun NN 63372 2631 8 's 's POS 63372 2631 9 energy energy NN 63372 2631 10 is be VBZ 63372 2631 11 derived derive VBN 63372 2631 12 from from IN 63372 2631 13 the the DT 63372 2631 14 disintegration disintegration NN 63372 2631 15 of of IN 63372 2631 16 the the DT 63372 2631 17 matter matter NN 63372 2631 18 of of IN 63372 2631 19 which which WDT 63372 2631 20 it -PRON- PRP 63372 2631 21 is be VBZ 63372 2631 22 made make VBN 63372 2631 23 . . . 63372 2632 1 The the DT 63372 2632 2 method method NN 63372 2632 3 of of IN 63372 2632 4 establishing establish VBG 63372 2632 5 these these DT 63372 2632 6 identifications identification NNS 63372 2632 7 will will MD 63372 2632 8 be be VB 63372 2632 9 clear clear JJ 63372 2632 10 from from IN 63372 2632 11 the the DT 63372 2632 12 following follow VBG 63372 2632 13 : : : 63372 2632 14 We -PRON- PRP 63372 2632 15 already already RB 63372 2632 16 knew know VBD 63372 2632 17 that that IN 63372 2632 18 matter matter NN 63372 2632 19 is be VBZ 63372 2632 20 made make VBN 63372 2632 21 up up RP 63372 2632 22 of of IN 63372 2632 23 electrons electron NNS 63372 2632 24 and and CC 63372 2632 25 that that IN 63372 2632 26 radiant radiant JJ 63372 2632 27 energy energy NN 63372 2632 28 is be VBZ 63372 2632 29 electromagnetic electromagnetic JJ 63372 2632 30 and and CC 63372 2632 31 before before IN 63372 2632 32 the the DT 63372 2632 33 advent advent NN 63372 2632 34 of of IN 63372 2632 35 this this DT 63372 2632 36 theory theory NN 63372 2632 37 it -PRON- PRP 63372 2632 38 was be VBD 63372 2632 39 regarded regard VBN 63372 2632 40 as as RB 63372 2632 41 certain certain JJ 63372 2632 42 that that IN 63372 2632 43 practically practically RB 63372 2632 44 all all DT 63372 2632 45 observed observe VBN 63372 2632 46 physical physical JJ 63372 2632 47 phenomena phenomenon NNS 63372 2632 48 except except IN 63372 2632 49 gravitation gravitation NN 63372 2632 50 were be VBD 63372 2632 51 manifestations manifestation NNS 63372 2632 52 of of IN 63372 2632 53 the the DT 63372 2632 54 electromagnetic electromagnetic JJ 63372 2632 55 field field NN 63372 2632 56 . . . 63372 2633 1 The the DT 63372 2633 2 new new JJ 63372 2633 3 theory theory NN 63372 2633 4 has have VBZ 63372 2633 5 confirmed confirm VBN 63372 2633 6 this this DT 63372 2633 7 belief belief NN 63372 2633 8 . . . 63372 2634 1 It -PRON- PRP 63372 2634 2 is be VBZ 63372 2634 3 found find VBN 63372 2634 4 that that IN 63372 2634 5 the the DT 63372 2634 6 gravitational gravitational JJ 63372 2634 7 and and CC 63372 2634 8 electromagnetic electromagnetic JJ 63372 2634 9 conditions condition NNS 63372 2634 10 of of IN 63372 2634 11 the the DT 63372 2634 12 universe universe NN 63372 2634 13 are be VBP 63372 2634 14 completely completely RB 63372 2634 15 defined define VBN 63372 2634 16 if if IN 63372 2634 17 to to IN 63372 2634 18 each each DT 63372 2634 19 point point NN 63372 2634 20 of of IN 63372 2634 21 space space NN 63372 2634 22 - - HYPH 63372 2634 23 time time NN 63372 2634 24 a a DT 63372 2634 25 gravitational gravitational NN 63372 2634 26 and and CC 63372 2634 27 an an DT 63372 2634 28 electric electric JJ 63372 2634 29 potential potential NN 63372 2634 30 are be VBP 63372 2634 31 ascribed ascribe VBN 63372 2634 32 . . . 63372 2635 1 These these DT 63372 2635 2 are be VBP 63372 2635 3 magnitudes magnitude NNS 63372 2635 4 of of IN 63372 2635 5 the the DT 63372 2635 6 same same JJ 63372 2635 7 nature nature NN 63372 2635 8 as as IN 63372 2635 9 the the DT 63372 2635 10 direction direction NN 63372 2635 11 - - HYPH 63372 2635 12 defining define VBG 63372 2635 13 and and CC 63372 2635 14 length length NN 63372 2635 15 - - HYPH 63372 2635 16 defining define VBG 63372 2635 17 magnitudes magnitude NNS 63372 2635 18 which which WDT 63372 2635 19 must must MD 63372 2635 20 necessarily necessarily RB 63372 2635 21 be be VB 63372 2635 22 associated associate VBN 63372 2635 23 with with IN 63372 2635 24 every every DT 63372 2635 25 point point NN 63372 2635 26 of of IN 63372 2635 27 space space NN 63372 2635 28 - - HYPH 63372 2635 29 time time NN 63372 2635 30 if if IN 63372 2635 31 it -PRON- PRP 63372 2635 32 is be VBZ 63372 2635 33 a a DT 63372 2635 34 true true JJ 63372 2635 35 " " `` 63372 2635 36 space space NN 63372 2635 37 , , , 63372 2635 38 " " '' 63372 2635 39 and and CC 63372 2635 40 they -PRON- PRP 63372 2635 41 are be VBP 63372 2635 42 therefore therefore RB 63372 2635 43 identified identify VBN 63372 2635 44 with with IN 63372 2635 45 these these DT 63372 2635 46 . . . 63372 2636 1 By by IN 63372 2636 2 performing perform VBG 63372 2636 3 ordinary ordinary JJ 63372 2636 4 mathematical mathematical JJ 63372 2636 5 operations operation NNS 63372 2636 6 on on IN 63372 2636 7 these these DT 63372 2636 8 magnitudes magnitude NNS 63372 2636 9 statements statement NNS 63372 2636 10 of of IN 63372 2636 11 fact fact NN 63372 2636 12 clothed clothe VBN 63372 2636 13 in in IN 63372 2636 14 mathematical mathematical JJ 63372 2636 15 form form NN 63372 2636 16 are be VBP 63372 2636 17 obtained obtain VBN 63372 2636 18 , , , 63372 2636 19 which which WDT 63372 2636 20 are be VBP 63372 2636 21 to to TO 63372 2636 22 be be VB 63372 2636 23 interpreted interpret VBN 63372 2636 24 on on IN 63372 2636 25 the the DT 63372 2636 26 one one CD 63372 2636 27 hand hand NN 63372 2636 28 as as IN 63372 2636 29 physical physical JJ 63372 2636 30 laws law NNS 63372 2636 31 and and CC 63372 2636 32 on on IN 63372 2636 33 the the DT 63372 2636 34 other other JJ 63372 2636 35 as as IN 63372 2636 36 geometrical geometrical JJ 63372 2636 37 properties property NNS 63372 2636 38 of of IN 63372 2636 39 the the DT 63372 2636 40 fourspace fourspace NN 63372 2636 41 . . . 63372 2637 1 Nearly nearly RB 63372 2637 2 all all PDT 63372 2637 3 our -PRON- PRP$ 63372 2637 4 physical physical JJ 63372 2637 5 laws law NNS 63372 2637 6 are be VBP 63372 2637 7 derivable derivable JJ 63372 2637 8 mathematically mathematically RB 63372 2637 9 in in IN 63372 2637 10 this this DT 63372 2637 11 way way NN 63372 2637 12 , , , 63372 2637 13 so so IN 63372 2637 14 that that IN 63372 2637 15 an an DT 63372 2637 16 extensive extensive JJ 63372 2637 17 identification identification NN 63372 2637 18 is be VBZ 63372 2637 19 effected effect VBN 63372 2637 20 which which WDT 63372 2637 21 has have VBZ 63372 2637 22 been be VBN 63372 2637 23 fruitful fruitful JJ 63372 2637 24 of of IN 63372 2637 25 results result NNS 63372 2637 26 . . . 63372 2638 1 It -PRON- PRP 63372 2638 2 has have VBZ 63372 2638 3 been be VBN 63372 2638 4 mentioned mention VBN 63372 2638 5 that that IN 63372 2638 6 a a DT 63372 2638 7 slight slight JJ 63372 2638 8 curvature curvature NN 63372 2638 9 is be VBZ 63372 2638 10 sometimes sometimes RB 63372 2638 11 cognised cognise VBN 63372 2638 12 as as IN 63372 2638 13 force force NN 63372 2638 14 and and CC 63372 2638 15 as as IN 63372 2638 16 this this DT 63372 2638 17 identification identification NN 63372 2638 18 appeared appear VBD 63372 2638 19 originally originally RB 63372 2638 20 as as IN 63372 2638 21 a a DT 63372 2638 22 postulate postulate NN 63372 2638 23 its -PRON- PRP$ 63372 2638 24 history history NN 63372 2638 25 is be VBZ 63372 2638 26 interesting interesting JJ 63372 2638 27 . . . 63372 2639 1 THE the DT 63372 2639 2 GENESIS GENESIS NNP 63372 2639 3 OF of IN 63372 2639 4 THE the DT 63372 2639 5 THEORY THEORY NNP 63372 2639 6 An an DT 63372 2639 7 experiment experiment NN 63372 2639 8 by by IN 63372 2639 9 Michelson Michelson NNP 63372 2639 10 and and CC 63372 2639 11 Morley Morley NNP 63372 2639 12 ( ( -LRB- 63372 2639 13 1887 1887 CD 63372 2639 14 ) ) -RRB- 63372 2639 15 , , , 63372 2639 16 on on IN 63372 2639 17 which which WDT 63372 2639 18 the the DT 63372 2639 19 whole whole JJ 63372 2639 20 theory theory NN 63372 2639 21 is be VBZ 63372 2639 22 based base VBN 63372 2639 23 , , , 63372 2639 24 made make VBD 63372 2639 25 it -PRON- PRP 63372 2639 26 appear appear VB 63372 2639 27 that that IN 63372 2639 28 if if IN 63372 2639 29 a a DT 63372 2639 30 man man NN 63372 2639 31 measures measure VBZ 63372 2639 32 the the DT 63372 2639 33 velocity velocity NN 63372 2639 34 at at IN 63372 2639 35 which which WDT 63372 2639 36 light light NN 63372 2639 37 passes pass VBZ 63372 2639 38 him -PRON- PRP 63372 2639 39 he -PRON- PRP 63372 2639 40 will will MD 63372 2639 41 get get VB 63372 2639 42 the the DT 63372 2639 43 same same JJ 63372 2639 44 result result NN 63372 2639 45 whether whether IN 63372 2639 46 he -PRON- PRP 63372 2639 47 is be VBZ 63372 2639 48 stationary stationary JJ 63372 2639 49 , , , 63372 2639 50 rushing rush VBG 63372 2639 51 to to TO 63372 2639 52 meet meet VB 63372 2639 53 the the DT 63372 2639 54 light light NN 63372 2639 55 , , , 63372 2639 56 or or CC 63372 2639 57 moving move VBG 63372 2639 58 in in IN 63372 2639 59 the the DT 63372 2639 60 same same JJ 63372 2639 61 direction direction NN 63372 2639 62 as as IN 63372 2639 63 the the DT 63372 2639 64 light light NN 63372 2639 65 . . . 63372 2640 1 The the DT 63372 2640 2 solution solution NN 63372 2640 3 was be VBD 63372 2640 4 provided provide VBN 63372 2640 5 by by IN 63372 2640 6 Einstein Einstein NNP 63372 2640 7 in in IN 63372 2640 8 1905 1905 CD 63372 2640 9 . . . 63372 2641 1 He -PRON- PRP 63372 2641 2 suggested suggest VBD 63372 2641 3 that that IN 63372 2641 4 since since IN 63372 2641 5 we -PRON- PRP 63372 2641 6 know know VBP 63372 2641 7 the the DT 63372 2641 8 results result NNS 63372 2641 9 of of IN 63372 2641 10 these these DT 63372 2641 11 determinations determination NNS 63372 2641 12 ought ought MD 63372 2641 13 not not RB 63372 2641 14 to to TO 63372 2641 15 agree agree VB 63372 2641 16 , , , 63372 2641 17 something something NN 63372 2641 18 must must MD 63372 2641 19 have have VB 63372 2641 20 happened happen VBN 63372 2641 21 to to IN 63372 2641 22 the the DT 63372 2641 23 clocks clock NNS 63372 2641 24 and and CC 63372 2641 25 measuring measure VBG 63372 2641 26 - - HYPH 63372 2641 27 rods rod NNS 63372 2641 28 used use VBN 63372 2641 29 in in IN 63372 2641 30 measuring measure VBG 63372 2641 31 the the DT 63372 2641 32 velocity velocity NN 63372 2641 33 so so IN 63372 2641 34 that that IN 63372 2641 35 the the DT 63372 2641 36 standards standard NNS 63372 2641 37 of of IN 63372 2641 38 length length NN 63372 2641 39 and and CC 63372 2641 40 time time NN 63372 2641 41 were be VBD 63372 2641 42 not not RB 63372 2641 43 the the DT 63372 2641 44 same same JJ 63372 2641 45 in in IN 63372 2641 46 the the DT 63372 2641 47 three three CD 63372 2641 48 cases case NNS 63372 2641 49 , , , 63372 2641 50 the the DT 63372 2641 51 alterations alteration NNS 63372 2641 52 being be VBG 63372 2641 53 exactly exactly RB 63372 2641 54 such such JJ 63372 2641 55 as as IN 63372 2641 56 to to TO 63372 2641 57 make make VB 63372 2641 58 the the DT 63372 2641 59 velocity velocity NN 63372 2641 60 of of IN 63372 2641 61 light light JJ 63372 2641 62 constant constant NN 63372 2641 63 . . . 63372 2642 1 This this DT 63372 2642 2 solution solution NN 63372 2642 3 is be VBZ 63372 2642 4 universally universally RB 63372 2642 5 accepted accept VBN 63372 2642 6 as as IN 63372 2642 7 true true JJ 63372 2642 8 and and CC 63372 2642 9 is be VBZ 63372 2642 10 the the DT 63372 2642 11 fundamental fundamental JJ 63372 2642 12 postulate postulate NN 63372 2642 13 . . . 63372 2643 1 Thus thus RB 63372 2643 2 the the DT 63372 2643 3 length length NN 63372 2643 4 of of IN 63372 2643 5 a a DT 63372 2643 6 stick stick NN 63372 2643 7 and and CC 63372 2643 8 the the DT 63372 2643 9 rate rate NN 63372 2643 10 at at IN 63372 2643 11 which which WDT 63372 2643 12 time time NN 63372 2643 13 passes pass VBZ 63372 2643 14 will will MD 63372 2643 15 change change VB 63372 2643 16 as as IN 63372 2643 17 the the DT 63372 2643 18 velocity velocity NN 63372 2643 19 of of IN 63372 2643 20 the the DT 63372 2643 21 person person NN 63372 2643 22 observing observe VBG 63372 2643 23 these these DT 63372 2643 24 things thing NNS 63372 2643 25 changes change NNS 63372 2643 26 . . . 63372 2644 1 If if IN 63372 2644 2 a a DT 63372 2644 3 man man NN 63372 2644 4 measured measure VBD 63372 2644 5 the the DT 63372 2644 6 length length NN 63372 2644 7 of of IN 63372 2644 8 an an DT 63372 2644 9 aeroplane aeroplane NN 63372 2644 10 going go VBG 63372 2644 11 past past IN 63372 2644 12 him -PRON- PRP 63372 2644 13 at at IN 63372 2644 14 161,000 161,000 CD 63372 2644 15 miles mile NNS 63372 2644 16 per per IN 63372 2644 17 second second NN 63372 2644 18 it -PRON- PRP 63372 2644 19 would would MD 63372 2644 20 measure measure VB 63372 2644 21 only only RB 63372 2644 22 half half PDT 63372 2644 23 the the DT 63372 2644 24 length length NN 63372 2644 25 observed observe VBN 63372 2644 26 when when WRB 63372 2644 27 stationary stationary JJ 63372 2644 28 . . . 63372 2645 1 If if IN 63372 2645 2 the the DT 63372 2645 3 aeroplane aeroplane NN 63372 2645 4 were be VBD 63372 2645 5 going go VBG 63372 2645 6 with with IN 63372 2645 7 the the DT 63372 2645 8 velocity velocity NN 63372 2645 9 of of IN 63372 2645 10 light light NN 63372 2645 11 , , , 63372 2645 12 its -PRON- PRP$ 63372 2645 13 length length NN 63372 2645 14 would would MD 63372 2645 15 vanish vanish VB 63372 2645 16 though though IN 63372 2645 17 its -PRON- PRP$ 63372 2645 18 breadth breadth NN 63372 2645 19 and and CC 63372 2645 20 height height NN 63372 2645 21 would would MD 63372 2645 22 be be VB 63372 2645 23 unaltered unaltered JJ 63372 2645 24 . . . 63372 2646 1 Similarly similarly RB 63372 2646 2 , , , 63372 2646 3 if if IN 63372 2646 4 of of IN 63372 2646 5 two two CD 63372 2646 6 twin twin JJ 63372 2646 7 brothers brother NNS 63372 2646 8 one one CD 63372 2646 9 were be VBD 63372 2646 10 continually continually RB 63372 2646 11 moving move VBG 63372 2646 12 with with IN 63372 2646 13 reference reference NN 63372 2646 14 to to IN 63372 2646 15 the the DT 63372 2646 16 other other JJ 63372 2646 17 their -PRON- PRP$ 63372 2646 18 ages age NNS 63372 2646 19 would would MD 63372 2646 20 gradually gradually RB 63372 2646 21 diverge diverge VB 63372 2646 22 , , , 63372 2646 23 for for IN 63372 2646 24 time time NN 63372 2646 25 would would MD 63372 2646 26 go go VB 63372 2646 27 at at IN 63372 2646 28 different different JJ 63372 2646 29 rates rate NNS 63372 2646 30 for for IN 63372 2646 31 the the DT 63372 2646 32 two two CD 63372 2646 33 . . . 63372 2647 1 If if IN 63372 2647 2 one one CD 63372 2647 3 moved move VBD 63372 2647 4 with with IN 63372 2647 5 the the DT 63372 2647 6 velocity velocity NN 63372 2647 7 of of IN 63372 2647 8 light light NN 63372 2647 9 , , , 63372 2647 10 time time NN 63372 2647 11 would would MD 63372 2647 12 stand stand VB 63372 2647 13 still still RB 63372 2647 14 for for IN 63372 2647 15 him -PRON- PRP 63372 2647 16 while while IN 63372 2647 17 for for IN 63372 2647 18 the the DT 63372 2647 19 other other JJ 63372 2647 20 it -PRON- PRP 63372 2647 21 would would MD 63372 2647 22 go go VB 63372 2647 23 on on RP 63372 2647 24 as as RB 63372 2647 25 usual usual JJ 63372 2647 26 . . . 63372 2648 1 To to TO 63372 2648 2 get get VB 63372 2648 3 actually actually RB 63372 2648 4 younger young JJR 63372 2648 5 it -PRON- PRP 63372 2648 6 would would MD 63372 2648 7 be be VB 63372 2648 8 necessary necessary JJ 63372 2648 9 to to TO 63372 2648 10 move move VB 63372 2648 11 quicker quick RBR 63372 2648 12 than than IN 63372 2648 13 light light NN 63372 2648 14 which which WDT 63372 2648 15 is be VBZ 63372 2648 16 believed believe VBN 63372 2648 17 to to TO 63372 2648 18 be be VB 63372 2648 19 impossible impossible JJ 63372 2648 20 . . . 63372 2649 1 The the DT 63372 2649 2 velocity velocity NN 63372 2649 3 of of IN 63372 2649 4 light light NN 63372 2649 5 is be VBZ 63372 2649 6 assumed assume VBN 63372 2649 7 to to TO 63372 2649 8 be be VB 63372 2649 9 the the DT 63372 2649 10 greatest great JJS 63372 2649 11 velocity velocity NN 63372 2649 12 occurring occur VBG 63372 2649 13 in in IN 63372 2649 14 nature nature NN 63372 2649 15 . . . 63372 2650 1 Evidently evidently RB 63372 2650 2 then then RB 63372 2650 3 if if IN 63372 2650 4 the the DT 63372 2650 5 distance distance NN 63372 2650 6 in in IN 63372 2650 7 space space NN 63372 2650 8 and and CC 63372 2650 9 the the DT 63372 2650 10 interval interval NN 63372 2650 11 in in IN 63372 2650 12 time time NN 63372 2650 13 separating separate VBG 63372 2650 14 two two CD 63372 2650 15 given give VBN 63372 2650 16 events event NNS 63372 2650 17 , , , 63372 2650 18 such such JJ 63372 2650 19 as as IN 63372 2650 20 the the DT 63372 2650 21 firing firing NN 63372 2650 22 of of IN 63372 2650 23 a a DT 63372 2650 24 gun gun NN 63372 2650 25 and and CC 63372 2650 26 the the DT 63372 2650 27 bursting bursting NN 63372 2650 28 of of IN 63372 2650 29 the the DT 63372 2650 30 shell shell NN 63372 2650 31 , , , 63372 2650 32 are be VBP 63372 2650 33 measured measure VBN 63372 2650 34 by by IN 63372 2650 35 two two CD 63372 2650 36 observers observer NNS 63372 2650 37 in in IN 63372 2650 38 uniform uniform JJ 63372 2650 39 relative relative JJ 63372 2650 40 motion motion NN 63372 2650 41 , , , 63372 2650 42 their -PRON- PRP$ 63372 2650 43 estimates estimate NNS 63372 2650 44 will will MD 63372 2650 45 not not RB 63372 2650 46 agree agree VB 63372 2650 47 . . . 63372 2651 1 Consider consider VB 63372 2651 2 now now RB 63372 2651 3 the the DT 63372 2651 4 simple simple JJ 63372 2651 5 problem problem NN 63372 2651 6 of of IN 63372 2651 7 measuring measure VBG 63372 2651 8 the the DT 63372 2651 9 distance distance NN 63372 2651 10 between between IN 63372 2651 11 two two CD 63372 2651 12 points point NNS 63372 2651 13 on on IN 63372 2651 14 an an DT 63372 2651 15 ordinary ordinary JJ 63372 2651 16 drawing drawing NN 63372 2651 17 - - HYPH 63372 2651 18 board board NN 63372 2651 19 . . . 63372 2652 1 If if IN 63372 2652 2 we -PRON- PRP 63372 2652 3 draw draw VBP 63372 2652 4 two two CD 63372 2652 5 perpendicular perpendicular JJ 63372 2652 6 axes axis NNS 63372 2652 7 , , , 63372 2652 8 we -PRON- PRP 63372 2652 9 can can MD 63372 2652 10 define define VB 63372 2652 11 this this DT 63372 2652 12 distance distance NN 63372 2652 13 by by IN 63372 2652 14 specifying specify VBG 63372 2652 15 the the DT 63372 2652 16 lengths length NNS 63372 2652 17 of of IN 63372 2652 18 the the DT 63372 2652 19 projections projection NNS 63372 2652 20 on on IN 63372 2652 21 the the DT 63372 2652 22 two two CD 63372 2652 23 axes axis NNS 63372 2652 24 of of IN 63372 2652 25 the the DT 63372 2652 26 line line NN 63372 2652 27 joining join VBG 63372 2652 28 the the DT 63372 2652 29 points point NNS 63372 2652 30 . . . 63372 2653 1 If if IN 63372 2653 2 we -PRON- PRP 63372 2653 3 choose choose VBP 63372 2653 4 two two CD 63372 2653 5 different different JJ 63372 2653 6 axes axis NNS 63372 2653 7 the the DT 63372 2653 8 projections projection NNS 63372 2653 9 will will MD 63372 2653 10 not not RB 63372 2653 11 be be VB 63372 2653 12 the the DT 63372 2653 13 same same JJ 63372 2653 14 but but CC 63372 2653 15 will will MD 63372 2653 16 define define VB 63372 2653 17 the the DT 63372 2653 18 same same JJ 63372 2653 19 length length NN 63372 2653 20 . . . 63372 2654 1 Similarly similarly RB 63372 2654 2 , , , 63372 2654 3 in in IN 63372 2654 4 a a DT 63372 2654 5 Euclidean euclidean JJ 63372 2654 6 four four CD 63372 2654 7 - - HYPH 63372 2654 8 space space NN 63372 2654 9 the the DT 63372 2654 10 distance distance NN 63372 2654 11 between between IN 63372 2654 12 two two CD 63372 2654 13 points point NNS 63372 2654 14 will will MD 63372 2654 15 be be VB 63372 2654 16 defined define VBN 63372 2654 17 by by IN 63372 2654 18 the the DT 63372 2654 19 projections projection NNS 63372 2654 20 on on IN 63372 2654 21 the the DT 63372 2654 22 four four CD 63372 2654 23 axes axis NNS 63372 2654 24 , , , 63372 2654 25 but but CC 63372 2654 26 if if IN 63372 2654 27 these these DT 63372 2654 28 axes axis NNS 63372 2654 29 be be VB 63372 2654 30 rotated rotate VBN 63372 2654 31 slightly slightly RB 63372 2654 32 , , , 63372 2654 33 the the DT 63372 2654 34 projections projection NNS 63372 2654 35 will will MD 63372 2654 36 be be VB 63372 2654 37 different different JJ 63372 2654 38 , , , 63372 2654 39 but but CC 63372 2654 40 will will MD 63372 2654 41 define define VB 63372 2654 42 the the DT 63372 2654 43 same same JJ 63372 2654 44 length length NN 63372 2654 45 . . . 63372 2655 1 Now now RB 63372 2655 2 , , , 63372 2655 3 returning return VBG 63372 2655 4 to to IN 63372 2655 5 the the DT 63372 2655 6 two two CD 63372 2655 7 observers observer NNS 63372 2655 8 just just RB 63372 2655 9 mentioned mention VBN 63372 2655 10 , , , 63372 2655 11 it -PRON- PRP 63372 2655 12 was be VBD 63372 2655 13 noticed notice VBN 63372 2655 14 by by IN 63372 2655 15 Minkowski Minkowski NNP 63372 2655 16 in in IN 63372 2655 17 1908 1908 CD 63372 2655 18 that that IN 63372 2655 19 if if IN 63372 2655 20 the the DT 63372 2655 21 space space NN 63372 2655 22 measurements measurement NNS 63372 2655 23 between between IN 63372 2655 24 the the DT 63372 2655 25 two two CD 63372 2655 26 events event NNS 63372 2655 27 are be VBP 63372 2655 28 split split VBN 63372 2655 29 into into IN 63372 2655 30 the the DT 63372 2655 31 usual usual JJ 63372 2655 32 three three CD 63372 2655 33 components component NNS 63372 2655 34 , , , 63372 2655 35 and and CC 63372 2655 36 if if IN 63372 2655 37 the the DT 63372 2655 38 time time NN 63372 2655 39 measurements measurement NNS 63372 2655 40 are be VBP 63372 2655 41 multiplied multiply VBN 63372 2655 42 by by IN 63372 2655 43 $ $ $ 63372 2655 44 \sqrt{-1}$ \sqrt{-1}$ NNS 63372 2655 45 , , , 63372 2655 46 the the DT 63372 2655 47 difference difference NN 63372 2655 48 between between IN 63372 2655 49 the the DT 63372 2655 50 two two CD 63372 2655 51 sets set NNS 63372 2655 52 of of IN 63372 2655 53 measurements measurement NNS 63372 2655 54 is be VBZ 63372 2655 55 exactly exactly RB 63372 2655 56 the the DT 63372 2655 57 same same JJ 63372 2655 58 as as IN 63372 2655 59 would would MD 63372 2655 60 have have VB 63372 2655 61 occurred occur VBN 63372 2655 62 had have VBD 63372 2655 63 these these DT 63372 2655 64 two two CD 63372 2655 65 events event NNS 63372 2655 66 been be VBN 63372 2655 67 points point NNS 63372 2655 68 in in IN 63372 2655 69 a a DT 63372 2655 70 Euclidean euclidean JJ 63372 2655 71 fourspace fourspace NN 63372 2655 72 , , , 63372 2655 73 and and CC 63372 2655 74 two two CD 63372 2655 75 different different JJ 63372 2655 76 observations observation NNS 63372 2655 77 made make VBN 63372 2655 78 of of IN 63372 2655 79 their -PRON- PRP$ 63372 2655 80 distance distance NN 63372 2655 81 apart apart RB 63372 2655 82 using use VBG 63372 2655 83 two two CD 63372 2655 84 sets set NNS 63372 2655 85 of of IN 63372 2655 86 axes axis NNS 63372 2655 87 inclined incline VBN 63372 2655 88 to to IN 63372 2655 89 each each DT 63372 2655 90 other other JJ 63372 2655 91 . . . 63372 2656 1 The the DT 63372 2656 2 velocity velocity NN 63372 2656 3 of of IN 63372 2656 4 light light NN 63372 2656 5 is be VBZ 63372 2656 6 made make VBN 63372 2656 7 equal equal JJ 63372 2656 8 to to IN 63372 2656 9 1 1 CD 63372 2656 10 in in IN 63372 2656 11 this this DT 63372 2656 12 calculation calculation NN 63372 2656 13 by by IN 63372 2656 14 a a DT 63372 2656 15 suitable suitable JJ 63372 2656 16 choice choice NN 63372 2656 17 of of IN 63372 2656 18 units unit NNS 63372 2656 19 . . . 63372 2657 1 This this DT 63372 2657 2 discovery discovery NN 63372 2657 3 threw throw VBD 63372 2657 4 a a DT 63372 2657 5 vivid vivid JJ 63372 2657 6 light light NN 63372 2657 7 on on IN 63372 2657 8 the the DT 63372 2657 9 problem problem NN 63372 2657 10 of of IN 63372 2657 11 space space NN 63372 2657 12 - - HYPH 63372 2657 13 time time NN 63372 2657 14 , , , 63372 2657 15 showing show VBG 63372 2657 16 that that IN 63372 2657 17 it -PRON- PRP 63372 2657 18 is be VBZ 63372 2657 19 probably probably RB 63372 2657 20 a a DT 63372 2657 21 true true JJ 63372 2657 22 four four CD 63372 2657 23 - - HYPH 63372 2657 24 space space NN 63372 2657 25 of of IN 63372 2657 26 one one CD 63372 2657 27 negative negative JJ 63372 2657 28 dimension dimension NN 63372 2657 29 , , , 63372 2657 30 a a DT 63372 2657 31 simple simple JJ 63372 2657 32 derivative derivative NN 63372 2657 33 of of IN 63372 2657 34 the the DT 63372 2657 35 much much RB 63372 2657 36 - - HYPH 63372 2657 37 discussed discuss VBN 63372 2657 38 and and CC 63372 2657 39 now now RB 63372 2657 40 familiar familiar JJ 63372 2657 41 Euclidean Euclidean NNP 63372 2657 42 four four CD 63372 2657 43 - - HYPH 63372 2657 44 space space NN 63372 2657 45 . . . 63372 2658 1 Although although IN 63372 2658 2 this this DT 63372 2658 3 discovery discovery NN 63372 2658 4 gave give VBD 63372 2658 5 a a DT 63372 2658 6 tremendous tremendous JJ 63372 2658 7 impetus impetus NN 63372 2658 8 to to IN 63372 2658 9 the the DT 63372 2658 10 progress progress NN 63372 2658 11 of of IN 63372 2658 12 the the DT 63372 2658 13 theory theory NN 63372 2658 14 , , , 63372 2658 15 it -PRON- PRP 63372 2658 16 is be VBZ 63372 2658 17 probable probable JJ 63372 2658 18 that that IN 63372 2658 19 it -PRON- PRP 63372 2658 20 holds hold VBZ 63372 2658 21 a a DT 63372 2658 22 deeper deep JJR 63372 2658 23 significance significance NN 63372 2658 24 not not RB 63372 2658 25 yet yet RB 63372 2658 26 revealed reveal VBN 63372 2658 27 . . . 63372 2659 1 It -PRON- PRP 63372 2659 2 is be VBZ 63372 2659 3 probably probably RB 63372 2659 4 a a DT 63372 2659 5 statement statement NN 63372 2659 6 of of IN 63372 2659 7 the the DT 63372 2659 8 " " `` 63372 2659 9 stuff stuff NN 63372 2659 10 " " '' 63372 2659 11 of of IN 63372 2659 12 which which WDT 63372 2659 13 the the DT 63372 2659 14 four four CD 63372 2659 15 - - HYPH 63372 2659 16 space space NN 63372 2659 17 is be VBZ 63372 2659 18 made make VBN 63372 2659 19 , , , 63372 2659 20 and and CC 63372 2659 21 perhaps perhaps RB 63372 2659 22 also also RB 63372 2659 23 of of IN 63372 2659 24 how how WRB 63372 2659 25 it -PRON- PRP 63372 2659 26 is be VBZ 63372 2659 27 made make VBN 63372 2659 28 ; ; : 63372 2659 29 but but CC 63372 2659 30 the the DT 63372 2659 31 problem problem NN 63372 2659 32 remains remain VBZ 63372 2659 33 unsolved unsolved JJ 63372 2659 34 . . . 63372 2660 1 It -PRON- PRP 63372 2660 2 thus thus RB 63372 2660 3 becomes become VBZ 63372 2660 4 plain plain JJ 63372 2660 5 that that IN 63372 2660 6 our -PRON- PRP$ 63372 2660 7 two two CD 63372 2660 8 observers observer NNS 63372 2660 9 are be VBP 63372 2660 10 merely merely RB 63372 2660 11 looking look VBG 63372 2660 12 at at IN 63372 2660 13 the the DT 63372 2660 14 same same JJ 63372 2660 15 thing thing NN 63372 2660 16 from from IN 63372 2660 17 different different JJ 63372 2660 18 viewpoints viewpoint NNS 63372 2660 19 . . . 63372 2661 1 Each each DT 63372 2661 2 has have VBZ 63372 2661 3 just just RB 63372 2661 4 as as RB 63372 2661 5 much much JJ 63372 2661 6 right right RB 63372 2661 7 as as IN 63372 2661 8 the the DT 63372 2661 9 other other JJ 63372 2661 10 to to TO 63372 2661 11 regard regard VB 63372 2661 12 himself -PRON- PRP 63372 2661 13 as as IN 63372 2661 14 being be VBG 63372 2661 15 at at IN 63372 2661 16 rest rest NN 63372 2661 17 in in IN 63372 2661 18 ordinary ordinary JJ 63372 2661 19 space space NN 63372 2661 20 ( ( -LRB- 63372 2661 21 this this DT 63372 2661 22 is be VBZ 63372 2661 23 the the DT 63372 2661 24 postulate postulate NN 63372 2661 25 of of IN 63372 2661 26 the the DT 63372 2661 27 relativity relativity NN 63372 2661 28 of of IN 63372 2661 29 uniform uniform JJ 63372 2661 30 motion motion NN 63372 2661 31 ) ) -RRB- 63372 2661 32 and and CC 63372 2661 33 to to TO 63372 2661 34 regard regard VB 63372 2661 35 his -PRON- PRP$ 63372 2661 36 time time NN 63372 2661 37 direction direction NN 63372 2661 38 as as IN 63372 2661 39 a a DT 63372 2661 40 straight straight JJ 63372 2661 41 line line NN 63372 2661 42 in in IN 63372 2661 43 the the DT 63372 2661 44 four four CD 63372 2661 45 - - HYPH 63372 2661 46 space space NN 63372 2661 47 . . . 63372 2662 1 The the DT 63372 2662 2 difference difference NN 63372 2662 3 is be VBZ 63372 2662 4 merely merely RB 63372 2662 5 that that IN 63372 2662 6 the the DT 63372 2662 7 two two CD 63372 2662 8 time time NN 63372 2662 9 axes axis NNS 63372 2662 10 are be VBP 63372 2662 11 inclined inclined JJ 63372 2662 12 to to IN 63372 2662 13 each each DT 63372 2662 14 other other JJ 63372 2662 15 . . . 63372 2663 1 If if IN 63372 2663 2 , , , 63372 2663 3 however however RB 63372 2663 4 , , , 63372 2663 5 one one CD 63372 2663 6 were be VBD 63372 2663 7 moving move VBG 63372 2663 8 with with IN 63372 2663 9 an an DT 63372 2663 10 acceleration acceleration NN 63372 2663 11 with with IN 63372 2663 12 reference reference NN 63372 2663 13 to to IN 63372 2663 14 the the DT 63372 2663 15 other other JJ 63372 2663 16 his -PRON- PRP$ 63372 2663 17 path path NN 63372 2663 18 in in IN 63372 2663 19 the the DT 63372 2663 20 four four CD 63372 2663 21 - - HYPH 63372 2663 22 space space NN 63372 2663 23 will will MD 63372 2663 24 appear appear VB 63372 2663 25 curved curved JJ 63372 2663 26 to to IN 63372 2663 27 the the DT 63372 2663 28 other other JJ 63372 2663 29 , , , 63372 2663 30 though though IN 63372 2663 31 he -PRON- PRP 63372 2663 32 himself -PRON- PRP 63372 2663 33 , , , 63372 2663 34 since since IN 63372 2663 35 he -PRON- PRP 63372 2663 36 regards regard VBZ 63372 2663 37 it -PRON- PRP 63372 2663 38 as as IN 63372 2663 39 his -PRON- PRP$ 63372 2663 40 time time NN 63372 2663 41 axis axis NNP 63372 2663 42 , , , 63372 2663 43 will will MD 63372 2663 44 still still RB 63372 2663 45 assume assume VB 63372 2663 46 it -PRON- PRP 63372 2663 47 to to TO 63372 2663 48 be be VB 63372 2663 49 straight straight JJ 63372 2663 50 . . . 63372 2664 1 If if IN 63372 2664 2 there there EX 63372 2664 3 is be VBZ 63372 2664 4 a a DT 63372 2664 5 body body NN 63372 2664 6 moving move VBG 63372 2664 7 in in IN 63372 2664 8 what what WP 63372 2664 9 one one CD 63372 2664 10 observer observer NN 63372 2664 11 sees see VBZ 63372 2664 12 to to TO 63372 2664 13 be be VB 63372 2664 14 a a DT 63372 2664 15 straight straight JJ 63372 2664 16 line line NN 63372 2664 17 , , , 63372 2664 18 the the DT 63372 2664 19 other other JJ 63372 2664 20 will will NN 63372 2664 21 , , , 63372 2664 22 of of IN 63372 2664 23 course course NN 63372 2664 24 , , , 63372 2664 25 in in IN 63372 2664 26 general general JJ 63372 2664 27 see see VB 63372 2664 28 it -PRON- PRP 63372 2664 29 as as IN 63372 2664 30 curved curved JJ 63372 2664 31 , , , 63372 2664 32 and and CC 63372 2664 33 following follow VBG 63372 2664 34 the the DT 63372 2664 35 usual usual JJ 63372 2664 36 custom custom NN 63372 2664 37 , , , 63372 2664 38 since since IN 63372 2664 39 this this DT 63372 2664 40 body body NN 63372 2664 41 , , , 63372 2664 42 without without IN 63372 2664 43 apparent apparent JJ 63372 2664 44 reason reason NN 63372 2664 45 , , , 63372 2664 46 deviates deviate NNS 63372 2664 47 from from IN 63372 2664 48 the the DT 63372 2664 49 straight straight JJ 63372 2664 50 path path NN 63372 2664 51 , , , 63372 2664 52 will will MD 63372 2664 53 say say VB 63372 2664 54 there there EX 63372 2664 55 must must MD 63372 2664 56 be be VB 63372 2664 57 some some DT 63372 2664 58 force force NN 63372 2664 59 acting act VBG 63372 2664 60 on on IN 63372 2664 61 it -PRON- PRP 63372 2664 62 . . . 63372 2665 1 Thus thus RB 63372 2665 2 the the DT 63372 2665 3 curvature curvature NN 63372 2665 4 of of IN 63372 2665 5 his -PRON- PRP$ 63372 2665 6 time time NN 63372 2665 7 axis axis RB 63372 2665 8 , , , 63372 2665 9 due due IN 63372 2665 10 to to IN 63372 2665 11 his -PRON- PRP$ 63372 2665 12 accelerated accelerated JJ 63372 2665 13 motion motion NN 63372 2665 14 , , , 63372 2665 15 makes make VBZ 63372 2665 16 it -PRON- PRP 63372 2665 17 appear appear VB 63372 2665 18 that that IN 63372 2665 19 there there EX 63372 2665 20 is be VBZ 63372 2665 21 round round VB 63372 2665 22 him -PRON- PRP 63372 2665 23 a a DT 63372 2665 24 field field NN 63372 2665 25 of of IN 63372 2665 26 force force NN 63372 2665 27 , , , 63372 2665 28 which which WDT 63372 2665 29 causes cause VBZ 63372 2665 30 freely freely RB 63372 2665 31 moving move VBG 63372 2665 32 bodies body NNS 63372 2665 33 to to TO 63372 2665 34 deviate deviate VB 63372 2665 35 from from IN 63372 2665 36 the the DT 63372 2665 37 straight straight JJ 63372 2665 38 path path NN 63372 2665 39 . . . 63372 2666 1 Now now RB 63372 2666 2 if if IN 63372 2666 3 space space NN 63372 2666 4 - - HYPH 63372 2666 5 time time NN 63372 2666 6 is be VBZ 63372 2666 7 itself -PRON- PRP 63372 2666 8 inherently inherently RB 63372 2666 9 curved curve VBN 63372 2666 10 it -PRON- PRP 63372 2666 11 is be VBZ 63372 2666 12 not not RB 63372 2666 13 generally generally RB 63372 2666 14 possible possible JJ 63372 2666 15 for for IN 63372 2666 16 any any DT 63372 2666 17 line line NN 63372 2666 18 in in IN 63372 2666 19 it -PRON- PRP 63372 2666 20 to to TO 63372 2666 21 be be VB 63372 2666 22 straight straight RB 63372 2666 23 any any DT 63372 2666 24 more more JJR 63372 2666 25 than than IN 63372 2666 26 it -PRON- PRP 63372 2666 27 is be VBZ 63372 2666 28 possible possible JJ 63372 2666 29 for for IN 63372 2666 30 any any DT 63372 2666 31 line line NN 63372 2666 32 on on IN 63372 2666 33 the the DT 63372 2666 34 surface surface NN 63372 2666 35 of of IN 63372 2666 36 a a DT 63372 2666 37 sphere sphere NN 63372 2666 38 to to TO 63372 2666 39 be be VB 63372 2666 40 straight straight JJ 63372 2666 41 . . . 63372 2667 1 Hence hence RB 63372 2667 2 , , , 63372 2667 3 all all DT 63372 2667 4 axes axis NNS 63372 2667 5 must must MD 63372 2667 6 be be VB 63372 2667 7 curved curve VBN 63372 2667 8 , , , 63372 2667 9 and and CC 63372 2667 10 all all DT 63372 2667 11 observers observer NNS 63372 2667 12 , , , 63372 2667 13 whatever whatever WDT 63372 2667 14 their -PRON- PRP$ 63372 2667 15 states state NNS 63372 2667 16 of of IN 63372 2667 17 motion motion NN 63372 2667 18 , , , 63372 2667 19 must must MD 63372 2667 20 experience experience VB 63372 2667 21 fields field NNS 63372 2667 22 of of IN 63372 2667 23 force force NN 63372 2667 24 which which WDT 63372 2667 25 are be VBP 63372 2667 26 of of IN 63372 2667 27 the the DT 63372 2667 28 same same JJ 63372 2667 29 nature nature NN 63372 2667 30 as as IN 63372 2667 31 those those DT 63372 2667 32 due due JJ 63372 2667 33 to to IN 63372 2667 34 motion motion NN 63372 2667 35 only only RB 63372 2667 36 . . . 63372 2668 1 The the DT 63372 2668 2 extra extra JJ 63372 2668 3 force force NN 63372 2668 4 experienced experience VBD 63372 2668 5 when when WRB 63372 2668 6 a a DT 63372 2668 7 lift lift NN 63372 2668 8 begins begin VBZ 63372 2668 9 to to TO 63372 2668 10 rise rise VB 63372 2668 11 is be VBZ 63372 2668 12 an an DT 63372 2668 13 example example NN 63372 2668 14 of of IN 63372 2668 15 force force NN 63372 2668 16 due due IN 63372 2668 17 to to IN 63372 2668 18 pure pure JJ 63372 2668 19 motion motion NN 63372 2668 20 : : : 63372 2668 21 gravitation gravitation NN 63372 2668 22 is be VBZ 63372 2668 23 the the DT 63372 2668 24 similar similar JJ 63372 2668 25 force force NN 63372 2668 26 due due IN 63372 2668 27 to to IN 63372 2668 28 an an DT 63372 2668 29 inherent inherent JJ 63372 2668 30 curvature curvature NN 63372 2668 31 of of IN 63372 2668 32 the the DT 63372 2668 33 four four CD 63372 2668 34 - - HYPH 63372 2668 35 space space NN 63372 2668 36 , , , 63372 2668 37 and and CC 63372 2668 38 it -PRON- PRP 63372 2668 39 was be VBD 63372 2668 40 the the DT 63372 2668 41 postulate postulate NN 63372 2668 42 that that WDT 63372 2668 43 these these DT 63372 2668 44 forces force NNS 63372 2668 45 were be VBD 63372 2668 46 similar similar JJ 63372 2668 47 that that WDT 63372 2668 48 made make VBD 63372 2668 49 possible possible JJ 63372 2668 50 Einstein Einstein NNP 63372 2668 51 's 's POS 63372 2668 52 solution solution NN 63372 2668 53 of of IN 63372 2668 54 the the DT 63372 2668 55 general general JJ 63372 2668 56 problem problem NN 63372 2668 57 of of IN 63372 2668 58 gravitation gravitation NN 63372 2668 59 . . . 63372 2669 1 THE the DT 63372 2669 2 TIME TIME NNP 63372 2669 3 DIAGRAM diagram NN 63372 2669 4 The the DT 63372 2669 5 correlation correlation NN 63372 2669 6 of of IN 63372 2669 7 time time NN 63372 2669 8 with with IN 63372 2669 9 its -PRON- PRP$ 63372 2669 10 geometrical geometrical JJ 63372 2669 11 analogue analogue NN 63372 2669 12 is be VBZ 63372 2669 13 of of IN 63372 2669 14 absorbing absorb VBG 63372 2669 15 interest interest NN 63372 2669 16 . . . 63372 2670 1 Representing represent VBG 63372 2670 2 velocity velocity NN 63372 2670 3 by by IN 63372 2670 4 the the DT 63372 2670 5 common common JJ 63372 2670 6 method method NN 63372 2670 7 of of IN 63372 2670 8 plotting plot VBG 63372 2670 9 a a DT 63372 2670 10 curve curve NN 63372 2670 11 showing show VBG 63372 2670 12 positions position NNS 63372 2670 13 at at IN 63372 2670 14 various various JJ 63372 2670 15 times time NNS 63372 2670 16 and and CC 63372 2670 17 marking mark VBG 63372 2670 18 distances distance NNS 63372 2670 19 horizontally horizontally RB 63372 2670 20 and and CC 63372 2670 21 times time NNS 63372 2670 22 vertically vertically RB 63372 2670 23 , , , 63372 2670 24 the the DT 63372 2670 25 velocity velocity NN 63372 2670 26 of of IN 63372 2670 27 light light NN 63372 2670 28 being be VBG 63372 2670 29 1 1 CD 63372 2670 30 , , , 63372 2670 31 $ $ $ 63372 2670 32 MM'$ MM'$ NNS 63372 2670 33 and and CC 63372 2670 34 $ $ $ 63372 2670 35 NN'$ nn'$ RB 63372 2670 36 will will MD 63372 2670 37 both both DT 63372 2670 38 represent represent VB 63372 2670 39 this this DT 63372 2670 40 velocity velocity NN 63372 2670 41 . . . 63372 2671 1 Since since IN 63372 2671 2 this this DT 63372 2671 3 is be VBZ 63372 2671 4 assumed assume VBN 63372 2671 5 to to TO 63372 2671 6 be be VB 63372 2671 7 the the DT 63372 2671 8 greatest great JJS 63372 2671 9 velocity velocity NN 63372 2671 10 occurring occur VBG 63372 2671 11 in in IN 63372 2671 12 nature nature NN 63372 2671 13 , , , 63372 2671 14 all all DT 63372 2671 15 other other JJ 63372 2671 16 possible possible JJ 63372 2671 17 velocities velocity NNS 63372 2671 18 are be VBP 63372 2671 19 represented represent VBN 63372 2671 20 by by IN 63372 2671 21 lines line NNS 63372 2671 22 falling fall VBG 63372 2671 23 within within IN 63372 2671 24 the the DT 63372 2671 25 upper upper JJ 63372 2671 26 and and CC 63372 2671 27 lower low JJR 63372 2671 28 V V NNP 63372 2671 29 's 's POS 63372 2671 30 . . . 63372 2672 1 Now now RB 63372 2672 2 this this DT 63372 2672 3 diagram diagram NN 63372 2672 4 correctly correctly RB 63372 2672 5 represents represent VBZ 63372 2672 6 two two CD 63372 2672 7 dimensions dimension NNS 63372 2672 8 of of IN 63372 2672 9 Minkowski Minkowski NNP 63372 2672 10 's 's POS 63372 2672 11 Euclidean Euclidean NNP 63372 2672 12 four four CD 63372 2672 13 - - HYPH 63372 2672 14 space space NN 63372 2672 15 so so RB 63372 2672 16 , , , 63372 2672 17 transmuting transmute VBG 63372 2672 18 to to IN 63372 2672 19 real real JJ 63372 2672 20 but but CC 63372 2672 21 flat flat JJ 63372 2672 22 four four CD 63372 2672 23 - - HYPH 63372 2672 24 space space NN 63372 2672 25 by by IN 63372 2672 26 multiplying multiply VBG 63372 2672 27 times time NNS 63372 2672 28 by by IN 63372 2672 29 $ $ $ 63372 2672 30 \sqrt{-1}$ \sqrt{-1}$ NNS 63372 2672 31 , , , 63372 2672 32 it -PRON- PRP 63372 2672 33 is be VBZ 63372 2672 34 seen see VBN 63372 2672 35 that that IN 63372 2672 36 there there EX 63372 2672 37 is be VBZ 63372 2672 38 a a DT 63372 2672 39 region region NN 63372 2672 40 outside outside IN 63372 2672 41 which which WDT 63372 2672 42 no no DT 63372 2672 43 effect effect NN 63372 2672 44 can can MD 63372 2672 45 be be VB 63372 2672 46 propagated propagate VBN 63372 2672 47 from from IN 63372 2672 48 $ $ $ 63372 2672 49 O$ O$ NNP 63372 2672 50 since since IN 63372 2672 51 that that DT 63372 2672 52 would would MD 63372 2672 53 involve involve VB 63372 2672 54 the the DT 63372 2672 55 existence existence NN 63372 2672 56 of of IN 63372 2672 57 a a DT 63372 2672 58 velocity velocity NN 63372 2672 59 greater great JJR 63372 2672 60 than than IN 63372 2672 61 that that DT 63372 2672 62 of of IN 63372 2672 63 light light NN 63372 2672 64 . . . 63372 2673 1 This this DT 63372 2673 2 region region NN 63372 2673 3 represents represent VBZ 63372 2673 4 the the DT 63372 2673 5 future future NN 63372 2673 6 of of IN 63372 2673 7 $ $ $ 63372 2673 8 O$. o$. NN 63372 2674 1 Similarly similarly RB 63372 2674 2 , , , 63372 2674 3 $ $ $ 63372 2674 4 O$ O$ NNP 63372 2674 5 can can MD 63372 2674 6 only only RB 63372 2674 7 be be VB 63372 2674 8 affected affect VBN 63372 2674 9 by by IN 63372 2674 10 events event NNS 63372 2674 11 within within IN 63372 2674 12 the the DT 63372 2674 13 region region NN 63372 2674 14 derived derive VBN 63372 2674 15 from from IN 63372 2674 16 the the DT 63372 2674 17 downward downward RB 63372 2674 18 - - HYPH 63372 2674 19 opening opening NN 63372 2674 20 V v NN 63372 2674 21 , , , 63372 2674 22 which which WDT 63372 2674 23 therefore therefore RB 63372 2674 24 represents represent VBZ 63372 2674 25 the the DT 63372 2674 26 past past NN 63372 2674 27 of of IN 63372 2674 28 $ $ $ 63372 2674 29 O$. o$. NN 63372 2675 1 The the DT 63372 2675 2 region region NN 63372 2675 3 between between IN 63372 2675 4 the the DT 63372 2675 5 two two CD 63372 2675 6 represents represent VBZ 63372 2675 7 events event NNS 63372 2675 8 which which WDT 63372 2675 9 may may MD 63372 2675 10 be be VB 63372 2675 11 either either CC 63372 2675 12 simultaneous simultaneous JJ 63372 2675 13 with with IN 63372 2675 14 $ $ $ 63372 2675 15 O$ O$ NNS 63372 2675 16 or or CC 63372 2675 17 not not RB 63372 2675 18 , , , 63372 2675 19 according accord VBG 63372 2675 20 to to IN 63372 2675 21 the the DT 63372 2675 22 velocity velocity NN 63372 2675 23 of of IN 63372 2675 24 the the DT 63372 2675 25 observer observer NN 63372 2675 26 at at IN 63372 2675 27 $ $ $ 63372 2675 28 O$. o$. NN 63372 2676 1 Thus thus RB 63372 2676 2 in in IN 63372 2676 3 this this DT 63372 2676 4 theory theory NN 63372 2676 5 an an DT 63372 2676 6 event event NN 63372 2676 7 dictated dictate VBN 63372 2676 8 by by IN 63372 2676 9 free free JJ 63372 2676 10 - - HYPH 63372 2676 11 will will NN 63372 2676 12 , , , 63372 2676 13 could could MD 63372 2676 14 affect affect VB 63372 2676 15 points point NNS 63372 2676 16 in in IN 63372 2676 17 its -PRON- PRP$ 63372 2676 18 " " `` 63372 2676 19 future future JJ 63372 2676 20 " " '' 63372 2676 21 region region NN 63372 2676 22 , , , 63372 2676 23 but but CC 63372 2676 24 not not RB 63372 2676 25 in in IN 63372 2676 26 any any DT 63372 2676 27 other other JJ 63372 2676 28 , , , 63372 2676 29 which which WDT 63372 2676 30 agrees agree VBZ 63372 2676 31 with with IN 63372 2676 32 experience experience NN 63372 2676 33 and and CC 63372 2676 34 shows show VBZ 63372 2676 35 that that IN 63372 2676 36 the the DT 63372 2676 37 theory theory NN 63372 2676 38 is be VBZ 63372 2676 39 not not RB 63372 2676 40 essentially essentially RB 63372 2676 41 " " `` 63372 2676 42 determinist determinist JJ 63372 2676 43 . . . 63372 2676 44 " " '' 63372 2677 1 If if IN 63372 2677 2 " " `` 63372 2677 3 free free JJ 63372 2677 4 - - : 63372 2677 5 will will MD 63372 2677 6 " " '' 63372 2677 7 is be VBZ 63372 2677 8 really really RB 63372 2677 9 free free JJ 63372 2677 10 , , , 63372 2677 11 the the DT 63372 2677 12 future future NN 63372 2677 13 is be VBZ 63372 2677 14 not not RB 63372 2677 15 yet yet RB 63372 2677 16 determined determine VBN 63372 2677 17 , , , 63372 2677 18 and and CC 63372 2677 19 the the DT 63372 2677 20 fourspace fourspace NN 63372 2677 21 must must MD 63372 2677 22 be be VB 63372 2677 23 in in IN 63372 2677 24 some some DT 63372 2677 25 way way NN 63372 2677 26 formed form VBN 63372 2677 27 by by IN 63372 2677 28 the the DT 63372 2677 29 will will NN 63372 2677 30 as as IN 63372 2677 31 time time NN 63372 2677 32 progresses progress NNS 63372 2677 33 . . . 63372 2678 1 The the DT 63372 2678 2 trains train NNS 63372 2678 3 of of IN 63372 2678 4 thought thought NN 63372 2678 5 inspired inspire VBN 63372 2678 6 by by IN 63372 2678 7 Einstein Einstein NNP 63372 2678 8 's 's POS 63372 2678 9 postulates postulate NNS 63372 2678 10 have have VBP 63372 2678 11 already already RB 63372 2678 12 carried carry VBN 63372 2678 13 us -PRON- PRP 63372 2678 14 to to IN 63372 2678 15 a a DT 63372 2678 16 pinnacle pinnacle NN 63372 2678 17 of of IN 63372 2678 18 knowledge knowledge NN 63372 2678 19 unprecedented unprecedented JJ 63372 2678 20 in in IN 63372 2678 21 the the DT 63372 2678 22 history history NN 63372 2678 23 of of IN 63372 2678 24 man man NN 63372 2678 25 . . . 63372 2679 1 On on IN 63372 2679 2 every every DT 63372 2679 3 hand hand NN 63372 2679 4 , , , 63372 2679 5 as as IN 63372 2679 6 we -PRON- PRP 63372 2679 7 look look VBP 63372 2679 8 out out RP 63372 2679 9 upon upon IN 63372 2679 10 the the DT 63372 2679 11 universe universe NN 63372 2679 12 from from IN 63372 2679 13 our -PRON- PRP$ 63372 2679 14 new new JJ 63372 2679 15 and and CC 63372 2679 16 lofty lofty JJ 63372 2679 17 standpoint standpoint NN 63372 2679 18 , , , 63372 2679 19 unexpected unexpected JJ 63372 2679 20 and and CC 63372 2679 21 enthralling enthral VBG 63372 2679 22 vistas vista NNS 63372 2679 23 open open VB 63372 2679 24 up up RP 63372 2679 25 before before IN 63372 2679 26 us -PRON- PRP 63372 2679 27 , , , 63372 2679 28 and and CC 63372 2679 29 we -PRON- PRP 63372 2679 30 find find VBP 63372 2679 31 ourselves -PRON- PRP 63372 2679 32 confronting confront VBG 63372 2679 33 nature nature NN 63372 2679 34 with with IN 63372 2679 35 an an DT 63372 2679 36 insight insight NN 63372 2679 37 such such JJ 63372 2679 38 as as IN 63372 2679 39 no no DT 63372 2679 40 man man NN 63372 2679 41 has have VBZ 63372 2679 42 ever ever RB 63372 2679 43 before before RB 63372 2679 44 dared dare VBN 63372 2679 45 aspire aspire NN 63372 2679 46 to to IN 63372 2679 47 . . . 63372 2680 1 It -PRON- PRP 63372 2680 2 is be VBZ 63372 2680 3 completely completely RB 63372 2680 4 unthinkable unthinkable JJ 63372 2680 5 that that IN 63372 2680 6 this this DT 63372 2680 7 theory theory NN 63372 2680 8 can can MD 63372 2680 9 ever ever RB 63372 2680 10 be be VB 63372 2680 11 swept sweep VBN 63372 2680 12 aside aside RB 63372 2680 13 . . . 63372 2681 1 Apart apart RB 63372 2681 2 from from IN 63372 2681 3 experimental experimental JJ 63372 2681 4 verifications verification NNS 63372 2681 5 which which WDT 63372 2681 6 , , , 63372 2681 7 in in IN 63372 2681 8 point point NN 63372 2681 9 of of IN 63372 2681 10 fact fact NN 63372 2681 11 , , , 63372 2681 12 lend lend VB 63372 2681 13 it -PRON- PRP 63372 2681 14 the the DT 63372 2681 15 strongest strong JJS 63372 2681 16 support support NN 63372 2681 17 , , , 63372 2681 18 no no DT 63372 2681 19 one one PRP 63372 2681 20 could could MD 63372 2681 21 work work VB 63372 2681 22 through through IN 63372 2681 23 the the DT 63372 2681 24 theory theory NN 63372 2681 25 without without IN 63372 2681 26 feeling feeling NN 63372 2681 27 that that IN 63372 2681 28 here here RB 63372 2681 29 , , , 63372 2681 30 in in IN 63372 2681 31 truth truth NN 63372 2681 32 , , , 63372 2681 33 the the DT 63372 2681 34 inner inner JJ 63372 2681 35 workings working NNS 63372 2681 36 of of IN 63372 2681 37 the the DT 63372 2681 38 universe universe NN 63372 2681 39 were be VBD 63372 2681 40 laid lay VBN 63372 2681 41 bare bare JJ 63372 2681 42 before before IN 63372 2681 43 him -PRON- PRP 63372 2681 44 . . . 63372 2682 1 The the DT 63372 2682 2 harmony harmony NN 63372 2682 3 with with IN 63372 2682 4 nature nature NN 63372 2682 5 is be VBZ 63372 2682 6 far far RB 63372 2682 7 too too RB 63372 2682 8 complete complete JJ 63372 2682 9 for for IN 63372 2682 10 any any DT 63372 2682 11 doubt doubt NN 63372 2682 12 to to TO 63372 2682 13 arise arise VB 63372 2682 14 of of IN 63372 2682 15 its -PRON- PRP$ 63372 2682 16 truth truth NN 63372 2682 17 . . . 63372 2683 1 XVI xvi VB 63372 2683 2 THE the DT 63372 2683 3 QUEST quest NN 63372 2683 4 OF of IN 63372 2683 5 THE the DT 63372 2683 6 ABSOLUTE ABSOLUTE NNP 63372 2683 7 Modern modern JJ 63372 2683 8 Developments development NNS 63372 2683 9 in in IN 63372 2683 10 Theoretical Theoretical NNP 63372 2683 11 Physics Physics NNP 63372 2683 12 , , , 63372 2683 13 and and CC 63372 2683 14 the the DT 63372 2683 15 Climax Climax NNP 63372 2683 16 Supplied supply VBN 63372 2683 17 by by IN 63372 2683 18 Einstein Einstein NNP 63372 2683 19 BY BY NNP 63372 2683 20 DR DR NNP 63372 2683 21 . . . 63372 2683 22 FRANCIS FRANCIS NNP 63372 2683 23 D. D. NNP 63372 2683 24 MURNAGHAN MURNAGHAN NNP 63372 2683 25 , , , 63372 2683 26 JOHNS JOHNS NNP 63372 2683 27 HOPKINS HOPKINS NNP 63372 2683 28 UNIVERSITY UNIVERSITY NNP 63372 2683 29 BALTIMORE BALTIMORE NNP 63372 2683 30 We -PRON- PRP 63372 2683 31 shall shall MD 63372 2683 32 discuss discuss VB 63372 2683 33 the the DT 63372 2683 34 more more RBR 63372 2683 35 important important JJ 63372 2683 36 aspects aspect NNS 63372 2683 37 of of IN 63372 2683 38 the the DT 63372 2683 39 theory theory NN 63372 2683 40 popularly popularly RB 63372 2683 41 known know VBN 63372 2683 42 as as IN 63372 2683 43 the the DT 63372 2683 44 " " `` 63372 2683 45 Einstein Einstein NNP 63372 2683 46 Theory Theory NNP 63372 2683 47 of of IN 63372 2683 48 Gravitation Gravitation NNP 63372 2683 49 " " '' 63372 2683 50 and and CC 63372 2683 51 shall shall MD 63372 2683 52 try try VB 63372 2683 53 to to TO 63372 2683 54 show show VB 63372 2683 55 clearly clearly RB 63372 2683 56 that that IN 63372 2683 57 this this DT 63372 2683 58 theory theory NN 63372 2683 59 is be VBZ 63372 2683 60 a a DT 63372 2683 61 natural natural JJ 63372 2683 62 outcome outcome NN 63372 2683 63 of of IN 63372 2683 64 ideas idea NNS 63372 2683 65 long long RB 63372 2683 66 held hold VBN 63372 2683 67 by by IN 63372 2683 68 physicists physicist NNS 63372 2683 69 in in IN 63372 2683 70 general general JJ 63372 2683 71 . . . 63372 2684 1 These these DT 63372 2684 2 ideas idea NNS 63372 2684 3 are be VBP 63372 2684 4 : : : 63372 2684 5 ( ( -LRB- 63372 2684 6 a a LS 63372 2684 7 ) ) -RRB- 63372 2684 8 The the DT 63372 2684 9 impossibility impossibility NN 63372 2684 10 of of IN 63372 2684 11 " " `` 63372 2684 12 action action NN 63372 2684 13 at at IN 63372 2684 14 a a DT 63372 2684 15 distance distance NN 63372 2684 16 ; ; : 63372 2684 17 " " `` 63372 2684 18 in in IN 63372 2684 19 other other JJ 63372 2684 20 words word NNS 63372 2684 21 we -PRON- PRP 63372 2684 22 find find VBP 63372 2684 23 an an DT 63372 2684 24 instinctive instinctive JJ 63372 2684 25 repugnance repugnance NN 63372 2684 26 to to TO 63372 2684 27 admit admit VB 63372 2684 28 that that IN 63372 2684 29 one one CD 63372 2684 30 body body NN 63372 2684 31 can can MD 63372 2684 32 affect affect VB 63372 2684 33 another another DT 63372 2684 34 , , , 63372 2684 35 remote remote JJ 63372 2684 36 from from IN 63372 2684 37 it -PRON- PRP 63372 2684 38 , , , 63372 2684 39 instantaneously instantaneously RB 63372 2684 40 and and CC 63372 2684 41 without without IN 63372 2684 42 the the DT 63372 2684 43 existence existence NN 63372 2684 44 of of IN 63372 2684 45 an an DT 63372 2684 46 intervening intervene VBG 63372 2684 47 medium medium NN 63372 2684 48 . . . 63372 2685 1 ( ( -LRB- 63372 2685 2 b b LS 63372 2685 3 ) ) -RRB- 63372 2685 4 The the DT 63372 2685 5 independence independence NN 63372 2685 6 of of IN 63372 2685 7 natural natural JJ 63372 2685 8 , , , 63372 2685 9 i.e. i.e. FW 63372 2685 10 , , , 63372 2685 11 physical physical JJ 63372 2685 12 , , , 63372 2685 13 laws law NNS 63372 2685 14 of of IN 63372 2685 15 their -PRON- PRP$ 63372 2685 16 mathematical mathematical JJ 63372 2685 17 mode mode NN 63372 2685 18 of of IN 63372 2685 19 expression expression NN 63372 2685 20 . . . 63372 2686 1 Thus thus RB 63372 2686 2 , , , 63372 2686 3 when when WRB 63372 2686 4 an an DT 63372 2686 5 equation equation NN 63372 2686 6 is be VBZ 63372 2686 7 written write VBN 63372 2686 8 down down RP 63372 2686 9 as as IN 63372 2686 10 the the DT 63372 2686 11 expression expression NN 63372 2686 12 of of IN 63372 2686 13 a a DT 63372 2686 14 physical physical JJ 63372 2686 15 law law NN 63372 2686 16 it -PRON- PRP 63372 2686 17 must must MD 63372 2686 18 be be VB 63372 2686 19 satisfied satisfied JJ 63372 2686 20 , , , 63372 2686 21 no no RB 63372 2686 22 matter matter RB 63372 2686 23 what what WP 63372 2686 24 units unit NNS 63372 2686 25 we -PRON- PRP 63372 2686 26 choose choose VBP 63372 2686 27 in in IN 63372 2686 28 order order NN 63372 2686 29 to to TO 63372 2686 30 measure measure VB 63372 2686 31 the the DT 63372 2686 32 quantities quantity NNS 63372 2686 33 occurring occur VBG 63372 2686 34 in in IN 63372 2686 35 the the DT 63372 2686 36 equation equation NN 63372 2686 37 . . . 63372 2687 1 As as IN 63372 2687 2 our -PRON- PRP$ 63372 2687 3 physics physics NN 63372 2687 4 teacher teacher NN 63372 2687 5 used use VBD 63372 2687 6 to to TO 63372 2687 7 say say VB 63372 2687 8 " " `` 63372 2687 9 the the DT 63372 2687 10 expression expression NN 63372 2687 11 of of IN 63372 2687 12 the the DT 63372 2687 13 law law NN 63372 2687 14 must must MD 63372 2687 15 have have VB 63372 2687 16 in in IN 63372 2687 17 every every DT 63372 2687 18 term term NN 63372 2687 19 the the DT 63372 2687 20 same same JJ 63372 2687 21 dimensions dimension NNS 63372 2687 22 . . . 63372 2687 23 " " '' 63372 2688 1 More More JJR 63372 2688 2 than than IN 63372 2688 3 this this DT 63372 2688 4 the the DT 63372 2688 5 choice choice NN 63372 2688 6 of of IN 63372 2688 7 the the DT 63372 2688 8 quantities quantity NNS 63372 2688 9 used use VBN 63372 2688 10 to to TO 63372 2688 11 express express VB 63372 2688 12 the the DT 63372 2688 13 law law NN 63372 2688 14 -- -- : 63372 2688 15 if if IN 63372 2688 16 there there EX 63372 2688 17 be be VB 63372 2688 18 a a DT 63372 2688 19 choice choice NN 63372 2688 20 open open JJ 63372 2688 21 -- -- : 63372 2688 22 must must MD 63372 2688 23 have have VB 63372 2688 24 no no DT 63372 2688 25 effect effect NN 63372 2688 26 on on IN 63372 2688 27 its -PRON- PRP$ 63372 2688 28 correctness correctness NN 63372 2688 29 . . . 63372 2689 1 As as IN 63372 2689 2 we -PRON- PRP 63372 2689 3 were be VBD 63372 2689 4 told--"all told--"all JJ 63372 2689 5 physical physical JJ 63372 2689 6 laws law NNS 63372 2689 7 are be VBP 63372 2689 8 capable capable JJ 63372 2689 9 of of IN 63372 2689 10 expression expression NN 63372 2689 11 as as IN 63372 2689 12 relations relation NNS 63372 2689 13 between between IN 63372 2689 14 vectors vector NNS 63372 2689 15 or or CC 63372 2689 16 else else RB 63372 2689 17 as as IN 63372 2689 18 relations relation NNS 63372 2689 19 between between IN 63372 2689 20 magnitudes magnitude NNS 63372 2689 21 of of IN 63372 2689 22 the the DT 63372 2689 23 same same JJ 63372 2689 24 dimensions dimension NNS 63372 2689 25 . . . 63372 2689 26 " " '' 63372 2690 1 We -PRON- PRP 63372 2690 2 shall shall MD 63372 2690 3 hope hope VB 63372 2690 4 to to TO 63372 2690 5 make make VB 63372 2690 6 this this DT 63372 2690 7 clearer clear JJR 63372 2690 8 in in IN 63372 2690 9 its -PRON- PRP$ 63372 2690 10 proper proper JJ 63372 2690 11 place place NN 63372 2690 12 in in IN 63372 2690 13 the the DT 63372 2690 14 essay essay NN 63372 2690 15 , , , 63372 2690 16 as as IN 63372 2690 17 its -PRON- PRP$ 63372 2690 18 obvious obvious JJ 63372 2690 19 generalization generalization NN 63372 2690 20 is be VBZ 63372 2690 21 Einstein Einstein NNP 63372 2690 22 's 's POS 63372 2690 23 cardinal cardinal JJ 63372 2690 24 principle principle NN 63372 2690 25 of of IN 63372 2690 26 relativity relativity NN 63372 2690 27 . . . 63372 2691 1 The the DT 63372 2691 2 measurements measurement NNS 63372 2691 3 which which WDT 63372 2691 4 an an DT 63372 2691 5 experimental experimental JJ 63372 2691 6 physicist physicist NN 63372 2691 7 makes make NNS 63372 2691 8 are be VBP 63372 2691 9 always always RB 63372 2691 10 the the DT 63372 2691 11 expression expression NN 63372 2691 12 of of IN 63372 2691 13 a a DT 63372 2691 14 coincidence coincidence NN 63372 2691 15 of of IN 63372 2691 16 two two CD 63372 2691 17 points point NNS 63372 2691 18 in in IN 63372 2691 19 space space NN 63372 2691 20 at at IN 63372 2691 21 the the DT 63372 2691 22 same same JJ 63372 2691 23 time time NN 63372 2691 24 . . . 63372 2692 1 If if IN 63372 2692 2 we -PRON- PRP 63372 2692 3 ask ask VBP 63372 2692 4 such such PDT 63372 2692 5 an an DT 63372 2692 6 experimenter experimenter NN 63372 2692 7 what what WP 63372 2692 8 he -PRON- PRP 63372 2692 9 means mean VBZ 63372 2692 10 by by IN 63372 2692 11 a a DT 63372 2692 12 point point NN 63372 2692 13 in in IN 63372 2692 14 space space NN 63372 2692 15 he -PRON- PRP 63372 2692 16 tells tell VBZ 63372 2692 17 us -PRON- PRP 63372 2692 18 that that IN 63372 2692 19 , , , 63372 2692 20 for for IN 63372 2692 21 him -PRON- PRP 63372 2692 22 , , , 63372 2692 23 the the DT 63372 2692 24 term term NN 63372 2692 25 has have VBZ 63372 2692 26 no no DT 63372 2692 27 meaning meaning NN 63372 2692 28 until until IN 63372 2692 29 he -PRON- PRP 63372 2692 30 has have VBZ 63372 2692 31 a a DT 63372 2692 32 material material JJ 63372 2692 33 body body NN 63372 2692 34 with with IN 63372 2692 35 reference reference NN 63372 2692 36 to to TO 63372 2692 37 which which WDT 63372 2692 38 he -PRON- PRP 63372 2692 39 can can MD 63372 2692 40 locate locate VB 63372 2692 41 the the DT 63372 2692 42 point point NN 63372 2692 43 by by IN 63372 2692 44 measurements measurement NNS 63372 2692 45 ; ; : 63372 2692 46 in in IN 63372 2692 47 general general JJ 63372 2692 48 it -PRON- PRP 63372 2692 49 requires require VBZ 63372 2692 50 three three CD 63372 2692 51 measurements measurement NNS 63372 2692 52 and and CC 63372 2692 53 he -PRON- PRP 63372 2692 54 expresses express VBZ 63372 2692 55 this this DT 63372 2692 56 by by IN 63372 2692 57 saying say VBG 63372 2692 58 that that IN 63372 2692 59 space space NN 63372 2692 60 has have VBZ 63372 2692 61 three three CD 63372 2692 62 dimensions dimension NNS 63372 2692 63 . . . 63372 2693 1 He -PRON- PRP 63372 2693 2 measures measure VBZ 63372 2693 3 his -PRON- PRP$ 63372 2693 4 distance distance NN 63372 2693 5 , , , 63372 2693 6 as as IN 63372 2693 7 a a DT 63372 2693 8 rule rule NN 63372 2693 9 , , , 63372 2693 10 parallel parallel JJ 63372 2693 11 to to IN 63372 2693 12 three three CD 63372 2693 13 mutually mutually RB 63372 2693 14 perpendicular perpendicular JJ 63372 2693 15 lines line NNS 63372 2693 16 fixed fix VBN 63372 2693 17 in in IN 63372 2693 18 the the DT 63372 2693 19 material material NN 63372 2693 20 body body NN 63372 2693 21 -- -- : 63372 2693 22 a a DT 63372 2693 23 Cartesian cartesian JJ 63372 2693 24 reference reference NN 63372 2693 25 - - HYPH 63372 2693 26 frame frame NN 63372 2693 27 so so RB 63372 2693 28 - - HYPH 63372 2693 29 called call VBN 63372 2693 30 . . . 63372 2694 1 So so RB 63372 2694 2 that that IN 63372 2694 3 a a DT 63372 2694 4 " " `` 63372 2694 5 point point NN 63372 2694 6 in in IN 63372 2694 7 space space NN 63372 2694 8 " " '' 63372 2694 9 is be VBZ 63372 2694 10 equivalent equivalent JJ 63372 2694 11 to to IN 63372 2694 12 a a DT 63372 2694 13 given give VBN 63372 2694 14 material material NN 63372 2694 15 reference reference NN 63372 2694 16 - - HYPH 63372 2694 17 frame frame NN 63372 2694 18 and and CC 63372 2694 19 three three CD 63372 2694 20 numbers number NNS 63372 2694 21 or or CC 63372 2694 22 coordinates coordinate NNS 63372 2694 23 . . . 63372 2695 1 If if IN 63372 2695 2 , , , 63372 2695 3 for for IN 63372 2695 4 any any DT 63372 2695 5 reason reason NN 63372 2695 6 , , , 63372 2695 7 we -PRON- PRP 63372 2695 8 prefer prefer VBP 63372 2695 9 to to TO 63372 2695 10 use use VB 63372 2695 11 a a DT 63372 2695 12 new new JJ 63372 2695 13 material material NN 63372 2695 14 reference reference NN 63372 2695 15 - - HYPH 63372 2695 16 frame frame NN 63372 2695 17 the the DT 63372 2695 18 coordinates coordinate NNS 63372 2695 19 or or CC 63372 2695 20 measurements measurement NNS 63372 2695 21 will will MD 63372 2695 22 change change VB 63372 2695 23 and and CC 63372 2695 24 , , , 63372 2695 25 if if IN 63372 2695 26 we -PRON- PRP 63372 2695 27 know know VBP 63372 2695 28 the the DT 63372 2695 29 relative relative JJ 63372 2695 30 positions position NNS 63372 2695 31 of of IN 63372 2695 32 the the DT 63372 2695 33 two two CD 63372 2695 34 material material NN 63372 2695 35 reference reference NN 63372 2695 36 - - HYPH 63372 2695 37 frames frame NNS 63372 2695 38 , , , 63372 2695 39 there there EX 63372 2695 40 is be VBZ 63372 2695 41 a a DT 63372 2695 42 definite definite JJ 63372 2695 43 relation relation NN 63372 2695 44 between between IN 63372 2695 45 the the DT 63372 2695 46 two two CD 63372 2695 47 sets set NNS 63372 2695 48 of of IN 63372 2695 49 three three CD 63372 2695 50 coordinates coordinate NNS 63372 2695 51 which which WDT 63372 2695 52 is be VBZ 63372 2695 53 termed term VBN 63372 2695 54 a a DT 63372 2695 55 transformation transformation NN 63372 2695 56 of of IN 63372 2695 57 coordinates coordinate NNS 63372 2695 58 . . . 63372 2696 1 But but CC 63372 2696 2 which which WDT 63372 2696 3 particular particular JJ 63372 2696 4 material material NN 63372 2696 5 reference reference NN 63372 2696 6 - - HYPH 63372 2696 7 frame frame NN 63372 2696 8 shall shall MD 63372 2696 9 we -PRON- PRP 63372 2696 10 use use VB 63372 2696 11 ? ? . 63372 2697 1 The the DT 63372 2697 2 first first JJ 63372 2697 3 choice choice NN 63372 2697 4 would would MD 63372 2697 5 , , , 63372 2697 6 we -PRON- PRP 63372 2697 7 think think VBP 63372 2697 8 , , , 63372 2697 9 be be VB 63372 2697 10 that that DT 63372 2697 11 attached attach VBN 63372 2697 12 to to IN 63372 2697 13 the the DT 63372 2697 14 earth earth NN 63372 2697 15 . . . 63372 2698 1 But but CC 63372 2698 2 , , , 63372 2698 3 even even RB 63372 2698 4 yet yet RB 63372 2698 5 , , , 63372 2698 6 we -PRON- PRP 63372 2698 7 are be VBP 63372 2698 8 in in IN 63372 2698 9 doubt doubt NN 63372 2698 10 as as IN 63372 2698 11 there there EX 63372 2698 12 are be VBP 63372 2698 13 numberless numberless JJ 63372 2698 14 Cartesian cartesian JJ 63372 2698 15 frameworks framework NNS 63372 2698 16 attached attach VBN 63372 2698 17 to to IN 63372 2698 18 the the DT 63372 2698 19 earth earth NN 63372 2698 20 ( ( -LRB- 63372 2698 21 as as IN 63372 2698 22 to to IN 63372 2698 23 any any DT 63372 2698 24 material material JJ 63372 2698 25 body body NN 63372 2698 26 ) ) -RRB- 63372 2698 27 and and CC 63372 2698 28 it -PRON- PRP 63372 2698 29 is be VBZ 63372 2698 30 here here RB 63372 2698 31 that that IN 63372 2698 32 our -PRON- PRP$ 63372 2698 33 idea idea NN 63372 2698 34 ( ( -LRB- 63372 2698 35 b b NN 63372 2698 36 ) ) -RRB- 63372 2698 37 begins begin VBZ 63372 2698 38 to to TO 63372 2698 39 function function VB 63372 2698 40 . . . 63372 2699 1 We -PRON- PRP 63372 2699 2 say say VBP 63372 2699 3 it -PRON- PRP 63372 2699 4 must must MD 63372 2699 5 be be VB 63372 2699 6 immaterial immaterial JJ 63372 2699 7 which which WDT 63372 2699 8 of of IN 63372 2699 9 these these DT 63372 2699 10 Cartesian cartesian JJ 63372 2699 11 frames frame NNS 63372 2699 12 we -PRON- PRP 63372 2699 13 use use VBP 63372 2699 14 . . . 63372 2700 1 In in IN 63372 2700 2 each each DT 63372 2700 3 frame frame NN 63372 2700 4 a a DT 63372 2700 5 vector vector NN 63372 2700 6 has have VBZ 63372 2700 7 three three CD 63372 2700 8 components component NNS 63372 2700 9 and and CC 63372 2700 10 when when WRB 63372 2700 11 we -PRON- PRP 63372 2700 12 change change VBP 63372 2700 13 from from IN 63372 2700 14 one one CD 63372 2700 15 frame frame NN 63372 2700 16 to to IN 63372 2700 17 another another DT 63372 2700 18 the the DT 63372 2700 19 components component NNS 63372 2700 20 change change NN 63372 2700 21 in in IN 63372 2700 22 such such PDT 63372 2700 23 a a DT 63372 2700 24 way way NN 63372 2700 25 that that IN 63372 2700 26 if if IN 63372 2700 27 two two CD 63372 2700 28 vectors vector NNS 63372 2700 29 have have VBP 63372 2700 30 their -PRON- PRP$ 63372 2700 31 three three CD 63372 2700 32 components component NNS 63372 2700 33 equal equal JJ 63372 2700 34 in in IN 63372 2700 35 one one CD 63372 2700 36 framework framework NN 63372 2700 37 they -PRON- PRP 63372 2700 38 will will MD 63372 2700 39 be be VB 63372 2700 40 equal equal JJ 63372 2700 41 in in IN 63372 2700 42 any any DT 63372 2700 43 other other JJ 63372 2700 44 attached attach VBN 63372 2700 45 to to IN 63372 2700 46 the the DT 63372 2700 47 same same JJ 63372 2700 48 material material NN 63372 2700 49 system system NN 63372 2700 50 . . . 63372 2701 1 So so RB 63372 2701 2 our -PRON- PRP$ 63372 2701 3 idea idea NN 63372 2701 4 ( ( -LRB- 63372 2701 5 b b NN 63372 2701 6 ) ) -RRB- 63372 2701 7 , , , 63372 2701 8 which which WDT 63372 2701 9 says say VBZ 63372 2701 10 that that IN 63372 2701 11 our -PRON- PRP$ 63372 2701 12 physical physical JJ 63372 2701 13 equations equation NNS 63372 2701 14 must must MD 63372 2701 15 be be VB 63372 2701 16 vector vector NN 63372 2701 17 equations equation NNS 63372 2701 18 , , , 63372 2701 19 is be VBZ 63372 2701 20 equivalent equivalent JJ 63372 2701 21 to to IN 63372 2701 22 saying say VBG 63372 2701 23 that that IN 63372 2701 24 the the DT 63372 2701 25 choice choice NN 63372 2701 26 of of IN 63372 2701 27 the the DT 63372 2701 28 framework framework NN 63372 2701 29 attached attach VBN 63372 2701 30 to to IN 63372 2701 31 any any DT 63372 2701 32 given give VBN 63372 2701 33 material material NN 63372 2701 34 body body NN 63372 2701 35 can can MD 63372 2701 36 have have VB 63372 2701 37 no no DT 63372 2701 38 effect effect NN 63372 2701 39 on on IN 63372 2701 40 the the DT 63372 2701 41 mode mode NN 63372 2701 42 of of IN 63372 2701 43 expression expression NN 63372 2701 44 of of IN 63372 2701 45 a a DT 63372 2701 46 natural natural JJ 63372 2701 47 law law NN 63372 2701 48 . . . 63372 2702 1 Shall Shall MD 63372 2702 2 we -PRON- PRP 63372 2702 3 carry carry VB 63372 2702 4 over over RP 63372 2702 5 our -PRON- PRP$ 63372 2702 6 idea idea NN 63372 2702 7 ( ( -LRB- 63372 2702 8 b b NN 63372 2702 9 ) ) -RRB- 63372 2702 10 to to TO 63372 2702 11 answer answer VB 63372 2702 12 the the DT 63372 2702 13 next next JJ 63372 2702 14 question question NN 63372 2702 15 : : : 63372 2702 16 " " `` 63372 2702 17 To to TO 63372 2702 18 which which WDT 63372 2702 19 material material NN 63372 2702 20 body body NN 63372 2702 21 shall shall MD 63372 2702 22 we -PRON- PRP 63372 2702 23 attach attach VB 63372 2702 24 our -PRON- PRP$ 63372 2702 25 framework framework NN 63372 2702 26 ? ? . 63372 2702 27 " " '' 63372 2703 1 To to IN 63372 2703 2 this this DT 63372 2703 3 question question NN 63372 2703 4 Newton Newton NNP 63372 2703 5 gave give VBD 63372 2703 6 one one CD 63372 2703 7 answer answer NN 63372 2703 8 and and CC 63372 2703 9 Einstein Einstein NNP 63372 2703 10 another another DT 63372 2703 11 . . . 63372 2704 1 We -PRON- PRP 63372 2704 2 shall shall MD 63372 2704 3 first first RB 63372 2704 4 consider consider VB 63372 2704 5 Newton Newton NNP 63372 2704 6 's 's POS 63372 2704 7 position position NN 63372 2704 8 and and CC 63372 2704 9 then then RB 63372 2704 10 we -PRON- PRP 63372 2704 11 may may MD 63372 2704 12 hope hope VB 63372 2704 13 to to TO 63372 2704 14 see see VB 63372 2704 15 clearly clearly RB 63372 2704 16 where where WRB 63372 2704 17 the the DT 63372 2704 18 new new JJ 63372 2704 19 theory theory NN 63372 2704 20 diverges diverge VBZ 63372 2704 21 from from IN 63372 2704 22 the the DT 63372 2704 23 classical classical JJ 63372 2704 24 or or CC 63372 2704 25 Newtonian newtonian JJ 63372 2704 26 mechanics mechanic NNS 63372 2704 27 . . . 63372 2705 1 Newton Newton NNP 63372 2705 2 's 's POS 63372 2705 3 answer answer NN 63372 2705 4 was be VBD 63372 2705 5 that that IN 63372 2705 6 there there EX 63372 2705 7 is be VBZ 63372 2705 8 a a DT 63372 2705 9 particular particular JJ 63372 2705 10 material material NN 63372 2705 11 frame frame NN 63372 2705 12 with with IN 63372 2705 13 reference reference NN 63372 2705 14 to to TO 63372 2705 15 which which WDT 63372 2705 16 the the DT 63372 2705 17 laws law NNS 63372 2705 18 of of IN 63372 2705 19 mechanics mechanic NNS 63372 2705 20 have have VBP 63372 2705 21 a a DT 63372 2705 22 remarkably remarkably RB 63372 2705 23 simple simple JJ 63372 2705 24 form form NN 63372 2705 25 commonly commonly RB 63372 2705 26 known know VBN 63372 2705 27 as as IN 63372 2705 28 " " `` 63372 2705 29 Newton Newton NNP 63372 2705 30 's 's POS 63372 2705 31 laws law NNS 63372 2705 32 of of IN 63372 2705 33 motion motion NN 63372 2705 34 " " '' 63372 2705 35 and and CC 63372 2705 36 so so RB 63372 2705 37 it -PRON- PRP 63372 2705 38 is be VBZ 63372 2705 39 preferable preferable JJ 63372 2705 40 to to TO 63372 2705 41 use use VB 63372 2705 42 this this DT 63372 2705 43 framework framework NN 63372 2705 44 which which WDT 63372 2705 45 is be VBZ 63372 2705 46 called call VBN 63372 2705 47 an an DT 63372 2705 48 absolute absolute JJ 63372 2705 49 frame frame NN 63372 2705 50 . . . 63372 2706 1 What what WP 63372 2706 2 is be VBZ 63372 2706 3 the the DT 63372 2706 4 essential essential JJ 63372 2706 5 peculiarity peculiarity NN 63372 2706 6 of of IN 63372 2706 7 an an DT 63372 2706 8 absolute absolute JJ 63372 2706 9 frame frame NN 63372 2706 10 ? ? . 63372 2707 1 Newton Newton NNP 63372 2707 2 was be VBD 63372 2707 3 essentially essentially RB 63372 2707 4 an an DT 63372 2707 5 empiricist empiricist NN 63372 2707 6 of of IN 63372 2707 7 Bacon Bacon NNP 63372 2707 8 's 's POS 63372 2707 9 school school NN 63372 2707 10 and and CC 63372 2707 11 he -PRON- PRP 63372 2707 12 observed observe VBD 63372 2707 13 the the DT 63372 2707 14 following follow VBG 63372 2707 15 facts fact NNS 63372 2707 16 . . . 63372 2708 1 Let let VB 63372 2708 2 us -PRON- PRP 63372 2708 3 suppose suppose VB 63372 2708 4 we -PRON- PRP 63372 2708 5 have have VBP 63372 2708 6 a a DT 63372 2708 7 framework framework NN 63372 2708 8 of of IN 63372 2708 9 reference reference NN 63372 2708 10 attached attach VBN 63372 2708 11 to to IN 63372 2708 12 the the DT 63372 2708 13 earth earth NN 63372 2708 14 . . . 63372 2709 1 Then then RB 63372 2709 2 a a DT 63372 2709 3 small small JJ 63372 2709 4 particle particle NN 63372 2709 5 of of IN 63372 2709 6 matter matter NN 63372 2709 7 under under IN 63372 2709 8 the the DT 63372 2709 9 gravitational gravitational JJ 63372 2709 10 influence influence NN 63372 2709 11 of of IN 63372 2709 12 surrounding surround VBG 63372 2709 13 bodies body NNS 63372 2709 14 , , , 63372 2709 15 including include VBG 63372 2709 16 the the DT 63372 2709 17 earth earth NN 63372 2709 18 , , , 63372 2709 19 takes take VBZ 63372 2709 20 on on RP 63372 2709 21 a a DT 63372 2709 22 certain certain JJ 63372 2709 23 acceleration acceleration NN 63372 2709 24 $ $ $ 63372 2709 25 A_1$. a_1$. CD 63372 2710 1 Now now RB 63372 2710 2 suppose suppose VB 63372 2710 3 the the DT 63372 2710 4 surrounding surround VBG 63372 2710 5 bodies body NNS 63372 2710 6 removed remove VBN 63372 2710 7 ( ( -LRB- 63372 2710 8 since since IN 63372 2710 9 we -PRON- PRP 63372 2710 10 can can MD 63372 2710 11 not not RB 63372 2710 12 remove remove VB 63372 2710 13 the the DT 63372 2710 14 earth earth NN 63372 2710 15 we -PRON- PRP 63372 2710 16 shall shall MD 63372 2710 17 have have VB 63372 2710 18 to to TO 63372 2710 19 view view VB 63372 2710 20 the the DT 63372 2710 21 experiment experiment NN 63372 2710 22 as as IN 63372 2710 23 an an DT 63372 2710 24 abstraction abstraction NN 63372 2710 25 ) ) -RRB- 63372 2710 26 , , , 63372 2710 27 and and CC 63372 2710 28 another another DT 63372 2710 29 set set NN 63372 2710 30 introduced introduce VBN 63372 2710 31 ; ; : 63372 2710 32 the the DT 63372 2710 33 particle particle NN 63372 2710 34 , , , 63372 2710 35 being be VBG 63372 2710 36 again again RB 63372 2710 37 at at IN 63372 2710 38 its -PRON- PRP$ 63372 2710 39 original original JJ 63372 2710 40 position position NN 63372 2710 41 , , , 63372 2710 42 will will MD 63372 2710 43 begin begin VB 63372 2710 44 to to TO 63372 2710 45 move move VB 63372 2710 46 with with IN 63372 2710 47 an an DT 63372 2710 48 acceleration acceleration NN 63372 2710 49 $ $ $ 63372 2710 50 A_2$. a_2$. NN 63372 2711 1 If if IN 63372 2711 2 both both DT 63372 2711 3 sets set NNS 63372 2711 4 of of IN 63372 2711 5 surrounding surround VBG 63372 2711 6 bodies body NNS 63372 2711 7 are be VBP 63372 2711 8 present present JJ 63372 2711 9 simultaneously simultaneously RB 63372 2711 10 the the DT 63372 2711 11 particle particle NN 63372 2711 12 begins begin VBZ 63372 2711 13 to to TO 63372 2711 14 move move VB 63372 2711 15 with with IN 63372 2711 16 an an DT 63372 2711 17 acceleration acceleration NN 63372 2711 18 which which WDT 63372 2711 19 is be VBZ 63372 2711 20 approximately approximately RB 63372 2711 21 but but CC 63372 2711 22 not not RB 63372 2711 23 quite quite PDT 63372 2711 24 the the DT 63372 2711 25 sum sum NN 63372 2711 26 of of IN 63372 2711 27 $ $ $ 63372 2711 28 A_1 A_1 NNP 63372 2711 29 $ $ $ 63372 2711 30 and and CC 63372 2711 31 $ $ $ 63372 2711 32 A_2$. a_2$. NN 63372 2712 1 Newton Newton NNP 63372 2712 2 postulated postulate VBD 63372 2712 3 there there RB 63372 2712 4 there there EX 63372 2712 5 is be VBZ 63372 2712 6 a a DT 63372 2712 7 certain certain JJ 63372 2712 8 absolute absolute JJ 63372 2712 9 reference reference NN 63372 2712 10 frame frame NN 63372 2712 11 in in IN 63372 2712 12 which which WDT 63372 2712 13 the the DT 63372 2712 14 approximation approximation NN 63372 2712 15 would would MD 63372 2712 16 be be VB 63372 2712 17 an an DT 63372 2712 18 equality equality NN 63372 2712 19 ; ; : 63372 2712 20 and and CC 63372 2712 21 so so RB 63372 2712 22 the the DT 63372 2712 23 acceleration acceleration NN 63372 2712 24 , , , 63372 2712 25 relative relative JJ 63372 2712 26 to to IN 63372 2712 27 the the DT 63372 2712 28 material material NN 63372 2712 29 frame frame NN 63372 2712 30 , , , 63372 2712 31 furnishes furnish VBZ 63372 2712 32 a a DT 63372 2712 33 convenient convenient JJ 63372 2712 34 measure measure NN 63372 2712 35 of of IN 63372 2712 36 the the DT 63372 2712 37 effect effect NN 63372 2712 38 of of IN 63372 2712 39 the the DT 63372 2712 40 surrounding surround VBG 63372 2712 41 bodies body NNS 63372 2712 42 -- -- : 63372 2712 43 which which WDT 63372 2712 44 effect effect VBP 63372 2712 45 we -PRON- PRP 63372 2712 46 call call VBP 63372 2712 47 their -PRON- PRP$ 63372 2712 48 gravitational gravitational JJ 63372 2712 49 force force NN 63372 2712 50 . . . 63372 2713 1 Notice notice VB 63372 2713 2 that that IN 63372 2713 3 if if IN 63372 2713 4 the the DT 63372 2713 5 effect effect NN 63372 2713 6 of of IN 63372 2713 7 the the DT 63372 2713 8 surrounding surround VBG 63372 2713 9 bodies body NNS 63372 2713 10 is be VBZ 63372 2713 11 small small JJ 63372 2713 12 the the DT 63372 2713 13 acceleration acceleration NN 63372 2713 14 is be VBZ 63372 2713 15 small small JJ 63372 2713 16 and and CC 63372 2713 17 so so RB 63372 2713 18 we -PRON- PRP 63372 2713 19 obtain obtain VBP 63372 2713 20 as as IN 63372 2713 21 a a DT 63372 2713 22 limiting limiting NN 63372 2713 23 case case NN 63372 2713 24 , , , 63372 2713 25 Newton Newton NNP 63372 2713 26 's 's POS 63372 2713 27 law law NN 63372 2713 28 of of IN 63372 2713 29 inertia inertia NN 63372 2713 30 which which WDT 63372 2713 31 says say VBZ 63372 2713 32 that that IN 63372 2713 33 a a DT 63372 2713 34 body body NN 63372 2713 35 subject subject JJ 63372 2713 36 to to IN 63372 2713 37 no no DT 63372 2713 38 forces force NNS 63372 2713 39 has have VBZ 63372 2713 40 no no DT 63372 2713 41 acceleration acceleration NN 63372 2713 42 ; ; : 63372 2713 43 a a DT 63372 2713 44 law law NN 63372 2713 45 which which WDT 63372 2713 46 , , , 63372 2713 47 as as IN 63372 2713 48 Poincarà Poincarà NNP 63372 2713 49 © © NNP 63372 2713 50 justly justly RB 63372 2713 51 observed observe VBD 63372 2713 52 , , , 63372 2713 53 can can MD 63372 2713 54 never never RB 63372 2713 55 be be VB 63372 2713 56 subjected subject VBN 63372 2713 57 to to IN 63372 2713 58 experimental experimental JJ 63372 2713 59 justification justification NN 63372 2713 60 . . . 63372 2714 1 The the DT 63372 2714 2 natural natural JJ 63372 2714 3 questions question NNS 63372 2714 4 then then RB 63372 2714 5 arise arise VBP 63372 2714 6 : : : 63372 2714 7 which which WDT 63372 2714 8 is be VBZ 63372 2714 9 the the DT 63372 2714 10 absolute absolute JJ 63372 2714 11 and and CC 63372 2714 12 privileged privileged JJ 63372 2714 13 reference reference NN 63372 2714 14 - - HYPH 63372 2714 15 frame frame NN 63372 2714 16 and and CC 63372 2714 17 how how WRB 63372 2714 18 must must MD 63372 2714 19 the the DT 63372 2714 20 simple simple JJ 63372 2714 21 laws law NNS 63372 2714 22 be be VB 63372 2714 23 modified modify VBN 63372 2714 24 when when WRB 63372 2714 25 we -PRON- PRP 63372 2714 26 use use VBP 63372 2714 27 a a DT 63372 2714 28 frame frame NN 63372 2714 29 more more RBR 63372 2714 30 convenient convenient JJ 63372 2714 31 for for IN 63372 2714 32 us -PRON- PRP 63372 2714 33 -- -- : 63372 2714 34 one one CD 63372 2714 35 attached attach VBN 63372 2714 36 to to IN 63372 2714 37 the the DT 63372 2714 38 earth earth NN 63372 2714 39 let let VB 63372 2714 40 us -PRON- PRP 63372 2714 41 say say VB 63372 2714 42 ? ? . 63372 2715 1 The the DT 63372 2715 2 absolute absolute JJ 63372 2715 3 frame frame NN 63372 2715 4 is be VBZ 63372 2715 5 one one CD 63372 2715 6 attached attach VBN 63372 2715 7 to to IN 63372 2715 8 the the DT 63372 2715 9 fixed fix VBN 63372 2715 10 stars star NNS 63372 2715 11 ; ; : 63372 2715 12 and and CC 63372 2715 13 to to IN 63372 2715 14 the the DT 63372 2715 15 absolute absolute JJ 63372 2715 16 or or CC 63372 2715 17 real real JJ 63372 2715 18 force force NN 63372 2715 19 defined define VBN 63372 2715 20 as as IN 63372 2715 21 above above RB 63372 2715 22 , , , 63372 2715 23 we -PRON- PRP 63372 2715 24 must must MD 63372 2715 25 add add VB 63372 2715 26 certain certain JJ 63372 2715 27 terms term NNS 63372 2715 28 , , , 63372 2715 29 usually usually RB 63372 2715 30 called call VBN 63372 2715 31 centrifugal centrifugal JJ 63372 2715 32 forces force NNS 63372 2715 33 . . . 63372 2716 1 These these DT 63372 2716 2 are be VBP 63372 2716 3 referred refer VBN 63372 2716 4 to to IN 63372 2716 5 as as RB 63372 2716 6 fictitious fictitious JJ 63372 2716 7 forces force NNS 63372 2716 8 because because IN 63372 2716 9 , , , 63372 2716 10 as as IN 63372 2716 11 it -PRON- PRP 63372 2716 12 is be VBZ 63372 2716 13 explained explain VBN 63372 2716 14 , , , 63372 2716 15 they -PRON- PRP 63372 2716 16 are be VBP 63372 2716 17 due due JJ 63372 2716 18 to to IN 63372 2716 19 the the DT 63372 2716 20 motion motion NN 63372 2716 21 of of IN 63372 2716 22 the the DT 63372 2716 23 reference reference NN 63372 2716 24 - - HYPH 63372 2716 25 frame frame NN 63372 2716 26 with with IN 63372 2716 27 respect respect NN 63372 2716 28 to to IN 63372 2716 29 the the DT 63372 2716 30 absolute absolute JJ 63372 2716 31 frame frame NN 63372 2716 32 and and CC 63372 2716 33 in in IN 63372 2716 34 no no DT 63372 2716 35 way way NN 63372 2716 36 depend depend VB 63372 2716 37 on on IN 63372 2716 38 the the DT 63372 2716 39 distribution distribution NN 63372 2716 40 of of IN 63372 2716 41 the the DT 63372 2716 42 surrounding surround VBG 63372 2716 43 bodies body NNS 63372 2716 44 . . . 63372 2717 1 Gravitational gravitational JJ 63372 2717 2 force force NN 63372 2717 3 and and CC 63372 2717 4 centrifugal centrifugal JJ 63372 2717 5 forces force NNS 63372 2717 6 have have VBP 63372 2717 7 in in IN 63372 2717 8 common common JJ 63372 2717 9 the the DT 63372 2717 10 remarkable remarkable JJ 63372 2717 11 property property NN 63372 2717 12 that that WDT 63372 2717 13 they -PRON- PRP 63372 2717 14 depend depend VBP 63372 2717 15 in in IN 63372 2717 16 no no DT 63372 2717 17 way way NN 63372 2717 18 on on IN 63372 2717 19 the the DT 63372 2717 20 material material NN 63372 2717 21 of of IN 63372 2717 22 the the DT 63372 2717 23 attracted attracted JJ 63372 2717 24 body body NN 63372 2717 25 nor nor CC 63372 2717 26 on on IN 63372 2717 27 its -PRON- PRP$ 63372 2717 28 chemical chemical NN 63372 2717 29 state state NN 63372 2717 30 ; ; : 63372 2717 31 they -PRON- PRP 63372 2717 32 act act VBP 63372 2717 33 on on IN 63372 2717 34 all all DT 63372 2717 35 matter matter NN 63372 2717 36 and and CC 63372 2717 37 are be VBP 63372 2717 38 in in IN 63372 2717 39 this this DT 63372 2717 40 way way NN 63372 2717 41 different different JJ 63372 2717 42 from from IN 63372 2717 43 other other JJ 63372 2717 44 forces force NNS 63372 2717 45 met meet VBN 63372 2717 46 with with IN 63372 2717 47 in in IN 63372 2717 48 nature nature NN 63372 2717 49 , , , 63372 2717 50 such such JJ 63372 2717 51 as as IN 63372 2717 52 magnetic magnetic JJ 63372 2717 53 or or CC 63372 2717 54 electric electric JJ 63372 2717 55 forces force NNS 63372 2717 56 . . . 63372 2718 1 Further further JJ 63372 2718 2 Newton Newton NNP 63372 2718 3 found find VBD 63372 2718 4 that that IN 63372 2718 5 he -PRON- PRP 63372 2718 6 could could MD 63372 2718 7 predict predict VB 63372 2718 8 the the DT 63372 2718 9 facts fact NNS 63372 2718 10 of of IN 63372 2718 11 observation observation NN 63372 2718 12 accurately accurately RB 63372 2718 13 on on IN 63372 2718 14 the the DT 63372 2718 15 hypothesis hypothesis NN 63372 2718 16 that that IN 63372 2718 17 two two CD 63372 2718 18 small small JJ 63372 2718 19 particles particle NNS 63372 2718 20 of of IN 63372 2718 21 matter matter NN 63372 2718 22 attracted attract VBD 63372 2718 23 each each DT 63372 2718 24 other other JJ 63372 2718 25 , , , 63372 2718 26 in in IN 63372 2718 27 the the DT 63372 2718 28 direction direction NN 63372 2718 29 of of IN 63372 2718 30 the the DT 63372 2718 31 line line NN 63372 2718 32 joining join VBG 63372 2718 33 them -PRON- PRP 63372 2718 34 , , , 63372 2718 35 with with IN 63372 2718 36 a a DT 63372 2718 37 force force NN 63372 2718 38 varying vary VBG 63372 2718 39 inversely inversely RB 63372 2718 40 as as IN 63372 2718 41 the the DT 63372 2718 42 square square NN 63372 2718 43 of of IN 63372 2718 44 the the DT 63372 2718 45 distance distance NN 63372 2718 46 between between IN 63372 2718 47 them -PRON- PRP 63372 2718 48 . . . 63372 2719 1 This this DT 63372 2719 2 law law NN 63372 2719 3 is be VBZ 63372 2719 4 an an DT 63372 2719 5 " " `` 63372 2719 6 action action NN 63372 2719 7 at at IN 63372 2719 8 a a DT 63372 2719 9 distance distance NN 63372 2719 10 " " `` 63372 2719 11 law law NN 63372 2719 12 and and CC 63372 2719 13 so so RB 63372 2719 14 is be VBZ 63372 2719 15 opposed opposed JJ 63372 2719 16 to to IN 63372 2719 17 the the DT 63372 2719 18 idea idea NN 63372 2719 19 ( ( -LRB- 63372 2719 20 a a LS 63372 2719 21 ) ) -RRB- 63372 2719 22 . . . 63372 2720 1 We -PRON- PRP 63372 2720 2 have have VBP 63372 2720 3 tacitly tacitly RB 63372 2720 4 supposed suppose VBN 63372 2720 5 that that IN 63372 2720 6 the the DT 63372 2720 7 space space NN 63372 2720 8 in in IN 63372 2720 9 which which WDT 63372 2720 10 we -PRON- PRP 63372 2720 11 make make VBP 63372 2720 12 our -PRON- PRP$ 63372 2720 13 measurements measurement NNS 63372 2720 14 is be VBZ 63372 2720 15 that that DT 63372 2720 16 made make VBN 63372 2720 17 familiar familiar JJ 63372 2720 18 to to IN 63372 2720 19 us -PRON- PRP 63372 2720 20 by by IN 63372 2720 21 the the DT 63372 2720 22 study study NN 63372 2720 23 of of IN 63372 2720 24 Euclid Euclid NNP 63372 2720 25 's 's POS 63372 2720 26 elements element NNS 63372 2720 27 . . . 63372 2721 1 The the DT 63372 2721 2 characteristic characteristic JJ 63372 2721 3 property property NN 63372 2721 4 of of IN 63372 2721 5 this this DT 63372 2721 6 space space NN 63372 2721 7 is be VBZ 63372 2721 8 that that IN 63372 2721 9 stated state VBN 63372 2721 10 by by IN 63372 2721 11 the the DT 63372 2721 12 theorem theorem NN 63372 2721 13 of of IN 63372 2721 14 Pythagoras Pythagoras NNPS 63372 2721 15 that that IN 63372 2721 16 the the DT 63372 2721 17 distance distance NN 63372 2721 18 between between IN 63372 2721 19 two two CD 63372 2721 20 points point NNS 63372 2721 21 is be VBZ 63372 2721 22 found find VBN 63372 2721 23 by by IN 63372 2721 24 extracting extract VBG 63372 2721 25 the the DT 63372 2721 26 square square JJ 63372 2721 27 root root NN 63372 2721 28 of of IN 63372 2721 29 the the DT 63372 2721 30 sum sum NN 63372 2721 31 of of IN 63372 2721 32 the the DT 63372 2721 33 squares square NNS 63372 2721 34 of of IN 63372 2721 35 the the DT 63372 2721 36 differences difference NNS 63372 2721 37 of of IN 63372 2721 38 the the DT 63372 2721 39 Cartesian cartesian JJ 63372 2721 40 coordinates coordinate NNS 63372 2721 41 of of IN 63372 2721 42 the the DT 63372 2721 43 two two CD 63372 2721 44 points point NNS 63372 2721 45 . . . 63372 2722 1 Mathematicians mathematician NNS 63372 2722 2 have have VBP 63372 2722 3 long long RB 63372 2722 4 recognized recognize VBN 63372 2722 5 the the DT 63372 2722 6 possibility possibility NN 63372 2722 7 of of IN 63372 2722 8 other other JJ 63372 2722 9 types type NNS 63372 2722 10 of of IN 63372 2722 11 space space NN 63372 2722 12 and and CC 63372 2722 13 Einstein Einstein NNP 63372 2722 14 has have VBZ 63372 2722 15 followed follow VBN 63372 2722 16 their -PRON- PRP$ 63372 2722 17 lead lead NN 63372 2722 18 . . . 63372 2723 1 He -PRON- PRP 63372 2723 2 abandons abandon VBZ 63372 2723 3 the the DT 63372 2723 4 empiricist empiricist NN 63372 2723 5 method method NN 63372 2723 6 and and CC 63372 2723 7 when when WRB 63372 2723 8 asked ask VBD 63372 2723 9 what what WP 63372 2723 10 he -PRON- PRP 63372 2723 11 means mean VBZ 63372 2723 12 by by IN 63372 2723 13 a a DT 63372 2723 14 point point NN 63372 2723 15 in in IN 63372 2723 16 space space NN 63372 2723 17 replies reply VBZ 63372 2723 18 that that IN 63372 2723 19 to to IN 63372 2723 20 him -PRON- PRP 63372 2723 21 a a DT 63372 2723 22 point point NN 63372 2723 23 in in IN 63372 2723 24 space space NN 63372 2723 25 is be VBZ 63372 2723 26 equivalent equivalent JJ 63372 2723 27 to to IN 63372 2723 28 four four CD 63372 2723 29 numbers number NNS 63372 2723 30 how how WRB 63372 2723 31 obtained obtain VBN 63372 2723 32 it -PRON- PRP 63372 2723 33 is be VBZ 63372 2723 34 unnecessary unnecessary JJ 63372 2723 35 to to TO 63372 2723 36 know know VB 63372 2723 37 a a DT 63372 2723 38 priori priori NN 63372 2723 39 ; ; : 63372 2723 40 in in IN 63372 2723 41 certain certain JJ 63372 2723 42 special special JJ 63372 2723 43 cases case NNS 63372 2723 44 they -PRON- PRP 63372 2723 45 may may MD 63372 2723 46 be be VB 63372 2723 47 the the DT 63372 2723 48 three three CD 63372 2723 49 Cartesian cartesian JJ 63372 2723 50 coordinates coordinate NNS 63372 2723 51 of of IN 63372 2723 52 the the DT 63372 2723 53 experimenter experimenter NN 63372 2723 54 ( ( -LRB- 63372 2723 55 measured measure VBN 63372 2723 56 with with IN 63372 2723 57 reference reference NN 63372 2723 58 to to IN 63372 2723 59 a a DT 63372 2723 60 definite definite JJ 63372 2723 61 material material NN 63372 2723 62 framework framework NN 63372 2723 63 ) ) -RRB- 63372 2723 64 together together RB 63372 2723 65 with with IN 63372 2723 66 the the DT 63372 2723 67 time time NN 63372 2723 68 . . . 63372 2724 1 Accordingly accordingly RB 63372 2724 2 he -PRON- PRP 63372 2724 3 says say VBZ 63372 2724 4 his -PRON- PRP$ 63372 2724 5 space space NN 63372 2724 6 is be VBZ 63372 2724 7 of of IN 63372 2724 8 four four CD 63372 2724 9 dimensions dimension NNS 63372 2724 10 . . . 63372 2725 1 Between between IN 63372 2725 2 any any DT 63372 2725 3 two two CD 63372 2725 4 " " `` 63372 2725 5 points point NNS 63372 2725 6 " " '' 63372 2725 7 we -PRON- PRP 63372 2725 8 may may MD 63372 2725 9 insert insert VB 63372 2725 10 a a DT 63372 2725 11 sequence sequence NN 63372 2725 12 of of IN 63372 2725 13 sets set NNS 63372 2725 14 of of IN 63372 2725 15 four four CD 63372 2725 16 numbers number NNS 63372 2725 17 , , , 63372 2725 18 varying vary VBG 63372 2725 19 continuously continuously RB 63372 2725 20 from from IN 63372 2725 21 the the DT 63372 2725 22 first first JJ 63372 2725 23 set set NN 63372 2725 24 to to IN 63372 2725 25 the the DT 63372 2725 26 second second JJ 63372 2725 27 , , , 63372 2725 28 thus thus RB 63372 2725 29 forming form VBG 63372 2725 30 what what WP 63372 2725 31 we -PRON- PRP 63372 2725 32 call call VBP 63372 2725 33 a a DT 63372 2725 34 curve curve NN 63372 2725 35 joining join VBG 63372 2725 36 the the DT 63372 2725 37 two two CD 63372 2725 38 points point NNS 63372 2725 39 . . . 63372 2726 1 Now now RB 63372 2726 2 we -PRON- PRP 63372 2726 3 define define VBP 63372 2726 4 the the DT 63372 2726 5 " " `` 63372 2726 6 length length NN 63372 2726 7 " " '' 63372 2726 8 of of IN 63372 2726 9 this this DT 63372 2726 10 curve curve NN 63372 2726 11 in in IN 63372 2726 12 a a DT 63372 2726 13 manner manner NN 63372 2726 14 which which WDT 63372 2726 15 involves involve VBZ 63372 2726 16 all all PDT 63372 2726 17 the the DT 63372 2726 18 points point NNS 63372 2726 19 on on IN 63372 2726 20 it -PRON- PRP 63372 2726 21 and and CC 63372 2726 22 stipulate stipulate VB 63372 2726 23 that that IN 63372 2726 24 this this DT 63372 2726 25 length length NN 63372 2726 26 has have VBZ 63372 2726 27 a a DT 63372 2726 28 physical physical JJ 63372 2726 29 reality reality NN 63372 2726 30 , , , 63372 2726 31 i.e. i.e. FW 63372 2726 32 , , , 63372 2726 33 according accord VBG 63372 2726 34 to to IN 63372 2726 35 our -PRON- PRP$ 63372 2726 36 idea idea NN 63372 2726 37 ( ( -LRB- 63372 2726 38 b b NN 63372 2726 39 ) ) -RRB- 63372 2726 40 its -PRON- PRP$ 63372 2726 41 value value NN 63372 2726 42 is be VBZ 63372 2726 43 independent independent JJ 63372 2726 44 of of IN 63372 2726 45 the the DT 63372 2726 46 particular particular JJ 63372 2726 47 choice choice NN 63372 2726 48 of of IN 63372 2726 49 coordinates coordinate NNS 63372 2726 50 we -PRON- PRP 63372 2726 51 make make VBP 63372 2726 52 in in IN 63372 2726 53 describing describe VBG 63372 2726 54 the the DT 63372 2726 55 space space NN 63372 2726 56 . . . 63372 2727 1 Among among IN 63372 2727 2 all all PDT 63372 2727 3 the the DT 63372 2727 4 joining join VBG 63372 2727 5 curves curve NNS 63372 2727 6 there there EX 63372 2727 7 will will MD 63372 2727 8 be be VB 63372 2727 9 one one CD 63372 2727 10 with with IN 63372 2727 11 the the DT 63372 2727 12 property property NN 63372 2727 13 of of IN 63372 2727 14 having have VBG 63372 2727 15 the the DT 63372 2727 16 smallest small JJS 63372 2727 17 length length NN 63372 2727 18 ; ; : 63372 2727 19 this this DT 63372 2727 20 is be VBZ 63372 2727 21 called call VBN 63372 2727 22 a a DT 63372 2727 23 geodesic geodesic NN 63372 2727 24 and and CC 63372 2727 25 corresponds correspond VBZ 63372 2727 26 to to IN 63372 2727 27 the the DT 63372 2727 28 straight straight JJ 63372 2727 29 line line NN 63372 2727 30 in in IN 63372 2727 31 Euclidean euclidean JJ 63372 2727 32 space space NN 63372 2727 33 . . . 63372 2728 1 We -PRON- PRP 63372 2728 2 must must MD 63372 2728 3 now now RB 63372 2728 4 , , , 63372 2728 5 for for IN 63372 2728 6 lack lack NN 63372 2728 7 of of IN 63372 2728 8 an an DT 63372 2728 9 a a FW 63372 2728 10 priori priori JJ 63372 2728 11 description description NN 63372 2728 12 of of IN 63372 2728 13 the the DT 63372 2728 14 actual actual JJ 63372 2728 15 significance significance NN 63372 2728 16 of of IN 63372 2728 17 our -PRON- PRP$ 63372 2728 18 coordinates coordinate NNS 63372 2728 19 , , , 63372 2728 20 extend extend VB 63372 2728 21 the the DT 63372 2728 22 idea idea NN 63372 2728 23 of of IN 63372 2728 24 vector vector NN 63372 2728 25 so so IN 63372 2728 26 that that IN 63372 2728 27 we -PRON- PRP 63372 2728 28 may may MD 63372 2728 29 speak speak VB 63372 2728 30 of of IN 63372 2728 31 the the DT 63372 2728 32 components component NNS 63372 2728 33 of of IN 63372 2728 34 a a DT 63372 2728 35 vector vector NN 63372 2728 36 no no RB 63372 2728 37 matter matter RB 63372 2728 38 what what WP 63372 2728 39 our -PRON- PRP$ 63372 2728 40 coordinates coordinate NNS 63372 2728 41 may may MD 63372 2728 42 actually actually RB 63372 2728 43 signify signify VB 63372 2728 44 . . . 63372 2729 1 In in IN 63372 2729 2 this this DT 63372 2729 3 way way NN 63372 2729 4 are be VBP 63372 2729 5 introduced introduce VBN 63372 2729 6 what what WP 63372 2729 7 are be VBP 63372 2729 8 known know VBN 63372 2729 9 as as IN 63372 2729 10 tensors tensor NNS 63372 2729 11 ; ; : 63372 2729 12 if if IN 63372 2729 13 two two CD 63372 2729 14 tensors tensor NNS 63372 2729 15 are be VBP 63372 2729 16 equal equal JJ 63372 2729 17 , , , 63372 2729 18 i.e. i.e. FW 63372 2729 19 , , , 63372 2729 20 have have VBP 63372 2729 21 all all DT 63372 2729 22 their -PRON- PRP$ 63372 2729 23 components component NNS 63372 2729 24 equal equal JJ 63372 2729 25 , , , 63372 2729 26 in in IN 63372 2729 27 any any DT 63372 2729 28 one one CD 63372 2729 29 set set NN 63372 2729 30 of of IN 63372 2729 31 coordinates coordinate NNS 63372 2729 32 they -PRON- PRP 63372 2729 33 are be VBP 63372 2729 34 equal equal JJ 63372 2729 35 in in IN 63372 2729 36 any any DT 63372 2729 37 other other JJ 63372 2729 38 and and CC 63372 2729 39 the the DT 63372 2729 40 fundamental fundamental JJ 63372 2729 41 demand demand NN 63372 2729 42 of of IN 63372 2729 43 the the DT 63372 2729 44 new new JJ 63372 2729 45 physics physics NN 63372 2729 46 is be VBZ 63372 2729 47 that that IN 63372 2729 48 all all DT 63372 2729 49 physical physical JJ 63372 2729 50 equations equation NNS 63372 2729 51 which which WDT 63372 2729 52 are be VBP 63372 2729 53 not not RB 63372 2729 54 merely merely RB 63372 2729 55 the the DT 63372 2729 56 expression expression NN 63372 2729 57 of of IN 63372 2729 58 equality equality NN 63372 2729 59 of of IN 63372 2729 60 magnitudes magnitude NNS 63372 2729 61 must must MD 63372 2729 62 state state VB 63372 2729 63 the the DT 63372 2729 64 equality equality NN 63372 2729 65 of of IN 63372 2729 66 tensors tensor NNS 63372 2729 67 . . . 63372 2730 1 In in IN 63372 2730 2 this this DT 63372 2730 3 way way NN 63372 2730 4 no no DT 63372 2730 5 one one CD 63372 2730 6 system system NN 63372 2730 7 of of IN 63372 2730 8 coordinates coordinate NNS 63372 2730 9 is be VBZ 63372 2730 10 privileged privilege VBN 63372 2730 11 above above IN 63372 2730 12 any any DT 63372 2730 13 other other JJ 63372 2730 14 and and CC 63372 2730 15 the the DT 63372 2730 16 laws law NNS 63372 2730 17 of of IN 63372 2730 18 physics physics NN 63372 2730 19 are be VBP 63372 2730 20 expressed express VBN 63372 2730 21 in in IN 63372 2730 22 a a DT 63372 2730 23 form form NN 63372 2730 24 independent independent JJ 63372 2730 25 of of IN 63372 2730 26 the the DT 63372 2730 27 actual actual JJ 63372 2730 28 coordinates coordinate NNS 63372 2730 29 chosen choose VBN 63372 2730 30 ; ; : 63372 2730 31 they -PRON- PRP 63372 2730 32 are be VBP 63372 2730 33 written write VBN 63372 2730 34 , , , 63372 2730 35 as as IN 63372 2730 36 we -PRON- PRP 63372 2730 37 may may MD 63372 2730 38 say say VB 63372 2730 39 , , , 63372 2730 40 in in IN 63372 2730 41 an an DT 63372 2730 42 absolute absolute JJ 63372 2730 43 form form NN 63372 2730 44 . . . 63372 2731 1 THE the DT 63372 2731 2 GRAVITATIONAL GRAVITATIONAL NNP 63372 2731 3 HYPOTHESIS HYPOTHESIS NNP 63372 2731 4 Einstein Einstein NNP 63372 2731 5 flatly flatly RB 63372 2731 6 denies deny VBZ 63372 2731 7 Newton Newton NNP 63372 2731 8 's 's POS 63372 2731 9 hypothesis hypothesis NN 63372 2731 10 that that IN 63372 2731 11 there there EX 63372 2731 12 is be VBZ 63372 2731 13 an an DT 63372 2731 14 absolute absolute JJ 63372 2731 15 system system NN 63372 2731 16 ( ( -LRB- 63372 2731 17 and and CC 63372 2731 18 , , , 63372 2731 19 indeed indeed RB 63372 2731 20 , , , 63372 2731 21 many many JJ 63372 2731 22 others other NNS 63372 2731 23 before before IN 63372 2731 24 him -PRON- PRP 63372 2731 25 had have VBD 63372 2731 26 found find VBN 63372 2731 27 it -PRON- PRP 63372 2731 28 difficult difficult JJ 63372 2731 29 to to TO 63372 2731 30 admit admit VB 63372 2731 31 that that IN 63372 2731 32 so so RB 63372 2731 33 insignificant insignificant JJ 63372 2731 34 a a DT 63372 2731 35 part part NN 63372 2731 36 of of IN 63372 2731 37 the the DT 63372 2731 38 universe universe NN 63372 2731 39 as as IN 63372 2731 40 our -PRON- PRP$ 63372 2731 41 fixed fix VBN 63372 2731 42 star star NN 63372 2731 43 system system NN 63372 2731 44 should should MD 63372 2731 45 have have VB 63372 2731 46 such such PDT 63372 2731 47 a a DT 63372 2731 48 privileged privileged JJ 63372 2731 49 position position NN 63372 2731 50 as as IN 63372 2731 51 that that DT 63372 2731 52 accorded accord VBD 63372 2731 53 to to IN 63372 2731 54 it -PRON- PRP 63372 2731 55 in in IN 63372 2731 56 the the DT 63372 2731 57 Newtonian Newtonian NNP 63372 2731 58 Mechanics Mechanics NNPS 63372 2731 59 ) ) -RRB- 63372 2731 60 . . . 63372 2732 1 In in IN 63372 2732 2 any any DT 63372 2732 3 system system NN 63372 2732 4 , , , 63372 2732 5 he -PRON- PRP 63372 2732 6 says say VBZ 63372 2732 7 , , , 63372 2732 8 we -PRON- PRP 63372 2732 9 have have VBP 63372 2732 10 no no DT 63372 2732 11 reason reason NN 63372 2732 12 to to TO 63372 2732 13 distinguish distinguish VB 63372 2732 14 between between IN 63372 2732 15 the the DT 63372 2732 16 so so RB 63372 2732 17 - - HYPH 63372 2732 18 called call VBN 63372 2732 19 real real JJ 63372 2732 20 gravitational gravitational JJ 63372 2732 21 force force NN 63372 2732 22 and and CC 63372 2732 23 the the DT 63372 2732 24 so so RB 63372 2732 25 - - HYPH 63372 2732 26 called call VBN 63372 2732 27 fictitious fictitious JJ 63372 2732 28 centrifugal centrifugal JJ 63372 2732 29 forces force NNS 63372 2732 30 -- -- : 63372 2732 31 if if IN 63372 2732 32 we -PRON- PRP 63372 2732 33 wish wish VBP 63372 2732 34 so so RB 63372 2732 35 to to TO 63372 2732 36 express express VB 63372 2732 37 it -PRON- PRP 63372 2732 38 gravitational gravitational JJ 63372 2732 39 force force NN 63372 2732 40 is be VBZ 63372 2732 41 fictitious fictitious JJ 63372 2732 42 force force NN 63372 2732 43 . . . 63372 2733 1 [ [ -LRB- 63372 2733 2 10 10 CD 63372 2733 3 ] ] -RRB- 63372 2733 4 A a DT 63372 2733 5 particle particle NN 63372 2733 6 moving move VBG 63372 2733 7 in in IN 63372 2733 8 the the DT 63372 2733 9 neighborhood neighborhood NN 63372 2733 10 of of IN 63372 2733 11 material material JJ 63372 2733 12 bodies body NNS 63372 2733 13 moves move VBZ 63372 2733 14 according accord VBG 63372 2733 15 to to IN 63372 2733 16 a a DT 63372 2733 17 law law NN 63372 2733 18 of of IN 63372 2733 19 inertia inertia NN 63372 2733 20 -- -- : 63372 2733 21 a a DT 63372 2733 22 physical physical JJ 63372 2733 23 law law NN 63372 2733 24 expressible expressible JJ 63372 2733 25 , , , 63372 2733 26 therefore therefore RB 63372 2733 27 , , , 63372 2733 28 in in IN 63372 2733 29 a a DT 63372 2733 30 manner manner NN 63372 2733 31 quite quite RB 63372 2733 32 independent independent JJ 63372 2733 33 of of IN 63372 2733 34 the the DT 63372 2733 35 choice choice NN 63372 2733 36 of of IN 63372 2733 37 coordinates coordinate NNS 63372 2733 38 . . . 63372 2734 1 The the DT 63372 2734 2 law law NN 63372 2734 3 of of IN 63372 2734 4 inertia inertia NN 63372 2734 5 is be VBZ 63372 2734 6 that that IN 63372 2734 7 a a DT 63372 2734 8 particle particle NN 63372 2734 9 left leave VBN 63372 2734 10 to to IN 63372 2734 11 itself -PRON- PRP 63372 2734 12 moves move VBZ 63372 2734 13 along along IN 63372 2734 14 the the DT 63372 2734 15 geodesics geodesic NNS 63372 2734 16 or or CC 63372 2734 17 shortest short JJS 63372 2734 18 lines line NNS 63372 2734 19 in in IN 63372 2734 20 the the DT 63372 2734 21 space space NN 63372 2734 22 . . . 63372 2735 1 If if IN 63372 2735 2 the the DT 63372 2735 3 particle particle NN 63372 2735 4 is be VBZ 63372 2735 5 remote remote JJ 63372 2735 6 from from IN 63372 2735 7 other other JJ 63372 2735 8 bodies body NNS 63372 2735 9 the the DT 63372 2735 10 space space NN 63372 2735 11 has have VBZ 63372 2735 12 the the DT 63372 2735 13 Euclidean euclidean JJ 63372 2735 14 character character NN 63372 2735 15 and and CC 63372 2735 16 we -PRON- PRP 63372 2735 17 have have VBP 63372 2735 18 Newton Newton NNP 63372 2735 19 's 's POS 63372 2735 20 law law NN 63372 2735 21 of of IN 63372 2735 22 inertia inertia NN 63372 2735 23 ; ; : 63372 2735 24 otherwise otherwise RB 63372 2735 25 the the DT 63372 2735 26 particle particle NN 63372 2735 27 is be VBZ 63372 2735 28 in in IN 63372 2735 29 a a DT 63372 2735 30 space space NN 63372 2735 31 of of IN 63372 2735 32 a a DT 63372 2735 33 non non JJ 63372 2735 34 - - JJ 63372 2735 35 Euclidean euclidean JJ 63372 2735 36 character character NN 63372 2735 37 ( ( -LRB- 63372 2735 38 the the DT 63372 2735 39 space space NN 63372 2735 40 being be VBG 63372 2735 41 always always RB 63372 2735 42 the the DT 63372 2735 43 four four CD 63372 2735 44 - - HYPH 63372 2735 45 dimensional dimensional JJ 63372 2735 46 space space NN 63372 2735 47 ) ) -RRB- 63372 2735 48 and and CC 63372 2735 49 the the DT 63372 2735 50 path path NN 63372 2735 51 of of IN 63372 2735 52 the the DT 63372 2735 53 particle particle NN 63372 2735 54 is be VBZ 63372 2735 55 along along IN 63372 2735 56 a a DT 63372 2735 57 geodesic geodesic NN 63372 2735 58 in in IN 63372 2735 59 that that DT 63372 2735 60 space space NN 63372 2735 61 . . . 63372 2736 1 Einstein Einstein NNP 63372 2736 2 , , , 63372 2736 3 in in IN 63372 2736 4 order order NN 63372 2736 5 to to TO 63372 2736 6 make make VB 63372 2736 7 the the DT 63372 2736 8 theory theory NN 63372 2736 9 more more JJR 63372 2736 10 concrete concrete JJ 63372 2736 11 , , , 63372 2736 12 makes make VBZ 63372 2736 13 a a DT 63372 2736 14 certain certain JJ 63372 2736 15 stipulation stipulation NN 63372 2736 16 as as IN 63372 2736 17 to to IN 63372 2736 18 the the DT 63372 2736 19 nature nature NN 63372 2736 20 of of IN 63372 2736 21 the the DT 63372 2736 22 gravitational gravitational JJ 63372 2736 23 space space NN 63372 2736 24 which which WDT 63372 2736 25 stipulation stipulation NN 63372 2736 26 is be VBZ 63372 2736 27 expressed express VBN 63372 2736 28 , , , 63372 2736 29 as as IN 63372 2736 30 are be VBP 63372 2736 31 all all DT 63372 2736 32 physical physical JJ 63372 2736 33 laws law NNS 63372 2736 34 , , , 63372 2736 35 by by IN 63372 2736 36 means mean NNS 63372 2736 37 of of IN 63372 2736 38 a a DT 63372 2736 39 tensor tensor NN 63372 2736 40 equation equation NN 63372 2736 41 -- -- : 63372 2736 42 and and CC 63372 2736 43 this this DT 63372 2736 44 is be VBZ 63372 2736 45 sometimes sometimes RB 63372 2736 46 called call VBN 63372 2736 47 his -PRON- PRP$ 63372 2736 48 law law NN 63372 2736 49 of of IN 63372 2736 50 gravitation gravitation NN 63372 2736 51 . . . 63372 2737 1 Perhaps perhaps RB 63372 2737 2 it -PRON- PRP 63372 2737 3 will will MD 63372 2737 4 be be VB 63372 2737 5 well well RB 63372 2737 6 , , , 63372 2737 7 in in IN 63372 2737 8 exemplification exemplification NN 63372 2737 9 , , , 63372 2737 10 to to TO 63372 2737 11 explain explain VB 63372 2737 12 why why WRB 63372 2737 13 light light JJ 63372 2737 14 rays ray NNS 63372 2737 15 , , , 63372 2737 16 which which WDT 63372 2737 17 pass pass VBP 63372 2737 18 close close RB 63372 2737 19 to to IN 63372 2737 20 the the DT 63372 2737 21 sun sun NN 63372 2737 22 , , , 63372 2737 23 should should MD 63372 2737 24 be be VB 63372 2737 25 bent bent JJ 63372 2737 26 according accord VBG 63372 2737 27 to to IN 63372 2737 28 the the DT 63372 2737 29 new new JJ 63372 2737 30 theory theory NN 63372 2737 31 . . . 63372 2738 1 It -PRON- PRP 63372 2738 2 is be VBZ 63372 2738 3 assumed assume VBN 63372 2738 4 that that IN 63372 2738 5 light light NN 63372 2738 6 rays ray NNS 63372 2738 7 travel travel VBP 63372 2738 8 along along IN 63372 2738 9 certain certain JJ 63372 2738 10 geodesics geodesic NNS 63372 2738 11 known know VBN 63372 2738 12 as as IN 63372 2738 13 minimal minimal JJ 63372 2738 14 geodesics geodesic NNS 63372 2738 15 . . . 63372 2739 1 The the DT 63372 2739 2 sun sun NN 63372 2739 3 has have VBZ 63372 2739 4 an an DT 63372 2739 5 intense intense JJ 63372 2739 6 gravitational gravitational JJ 63372 2739 7 field field NN 63372 2739 8 near near IN 63372 2739 9 it -PRON- PRP 63372 2739 10 -- -- : 63372 2739 11 or or CC 63372 2739 12 , , , 63372 2739 13 as as IN 63372 2739 14 we -PRON- PRP 63372 2739 15 now now RB 63372 2739 16 say say VBP 63372 2739 17 , , , 63372 2739 18 the the DT 63372 2739 19 departure departure NN 63372 2739 20 of of IN 63372 2739 21 the the DT 63372 2739 22 four four CD 63372 2739 23 - - HYPH 63372 2739 24 dimensional dimensional JJ 63372 2739 25 space space NN 63372 2739 26 from from IN 63372 2739 27 the the DT 63372 2739 28 Euclidean Euclidean NNP 63372 2739 29 is be VBZ 63372 2739 30 very very RB 63372 2739 31 marked mark VBN 63372 2739 32 for for IN 63372 2739 33 points point NNS 63372 2739 34 near near IN 63372 2739 35 the the DT 63372 2739 36 sun sun NN 63372 2739 37 -- -- : 63372 2739 38 but but CC 63372 2739 39 for for IN 63372 2739 40 points point NNS 63372 2739 41 so so RB 63372 2739 42 remote remote JJ 63372 2739 43 as as IN 63372 2739 44 the the DT 63372 2739 45 earth earth NN 63372 2739 46 this this DT 63372 2739 47 departure departure NN 63372 2739 48 is be VBZ 63372 2739 49 so so RB 63372 2739 50 small small JJ 63372 2739 51 as as IN 63372 2739 52 to to TO 63372 2739 53 be be VB 63372 2739 54 negligible negligible JJ 63372 2739 55 . . . 63372 2740 1 Hence hence RB 63372 2740 2 the the DT 63372 2740 3 form form NN 63372 2740 4 of of IN 63372 2740 5 the the DT 63372 2740 6 geodesics geodesic NNS 63372 2740 7 near near IN 63372 2740 8 the the DT 63372 2740 9 sun sun NN 63372 2740 10 is be VBZ 63372 2740 11 different different JJ 63372 2740 12 from from IN 63372 2740 13 that that DT 63372 2740 14 near near IN 63372 2740 15 the the DT 63372 2740 16 earth earth NN 63372 2740 17 . . . 63372 2741 1 If if IN 63372 2741 2 the the DT 63372 2741 3 space space NN 63372 2741 4 surrounding surround VBG 63372 2741 5 the the DT 63372 2741 6 sun sun NN 63372 2741 7 were be VBD 63372 2741 8 Euclidean euclidean JJ 63372 2741 9 the the DT 63372 2741 10 actual actual JJ 63372 2741 11 paths path NNS 63372 2741 12 of of IN 63372 2741 13 the the DT 63372 2741 14 light light JJ 63372 2741 15 rays ray NNS 63372 2741 16 would would MD 63372 2741 17 appear appear VB 63372 2741 18 different different JJ 63372 2741 19 from from IN 63372 2741 20 geodesics geodesic NNS 63372 2741 21 or or CC 63372 2741 22 straight straight JJ 63372 2741 23 - - HYPH 63372 2741 24 lines line NNS 63372 2741 25 . . . 63372 2742 1 Hence hence RB 63372 2742 2 Einstein Einstein NNP 63372 2742 3 speaks speak VBZ 63372 2742 4 of of IN 63372 2742 5 the the DT 63372 2742 6 curvature curvature NN 63372 2742 7 of of IN 63372 2742 8 the the DT 63372 2742 9 light light JJ 63372 2742 10 rays ray NNS 63372 2742 11 due due IN 63372 2742 12 to to IN 63372 2742 13 the the DT 63372 2742 14 gravitational gravitational JJ 63372 2742 15 field field NN 63372 2742 16 of of IN 63372 2742 17 the the DT 63372 2742 18 sun sun NN 63372 2742 19 ; ; : 63372 2742 20 but but CC 63372 2742 21 we -PRON- PRP 63372 2742 22 must must MD 63372 2742 23 not not RB 63372 2742 24 be be VB 63372 2742 25 misled mislead VBN 63372 2742 26 by by IN 63372 2742 27 a a DT 63372 2742 28 phrase phrase NN 63372 2742 29 . . . 63372 2743 1 Light light NN 63372 2743 2 always always RB 63372 2743 3 travels travel VBZ 63372 2743 4 along along IN 63372 2743 5 geodesics geodesic NNS 63372 2743 6 ( ( -LRB- 63372 2743 7 or or CC 63372 2743 8 straight straight JJ 63372 2743 9 lines line NNS 63372 2743 10 -- -- : 63372 2743 11 the the DT 63372 2743 12 only only JJ 63372 2743 13 definition definition NN 63372 2743 14 we -PRON- PRP 63372 2743 15 have have VBP 63372 2743 16 of of IN 63372 2743 17 a a DT 63372 2743 18 straight straight JJ 63372 2743 19 line line NN 63372 2743 20 is be VBZ 63372 2743 21 that that IN 63372 2743 22 it -PRON- PRP 63372 2743 23 is be VBZ 63372 2743 24 a a DT 63372 2743 25 geodesic geodesic NN 63372 2743 26 ) ) -RRB- 63372 2743 27 ; ; : 63372 2743 28 but but CC 63372 2743 29 , , , 63372 2743 30 owing owe VBG 63372 2743 31 to to IN 63372 2743 32 the the DT 63372 2743 33 " " `` 63372 2743 34 distortion distortion NN 63372 2743 35 " " '' 63372 2743 36 of of IN 63372 2743 37 the the DT 63372 2743 38 space space NN 63372 2743 39 they -PRON- PRP 63372 2743 40 traverse traverse VBP 63372 2743 41 , , , 63372 2743 42 due due IN 63372 2743 43 to to IN 63372 2743 44 the the DT 63372 2743 45 sun sun NN 63372 2743 46 , , , 63372 2743 47 these these DT 63372 2743 48 geodesics geodesic NNS 63372 2743 49 reach reach VBP 63372 2743 50 us -PRON- PRP 63372 2743 51 with with IN 63372 2743 52 a a DT 63372 2743 53 direction direction NN 63372 2743 54 different different JJ 63372 2743 55 from from IN 63372 2743 56 that that DT 63372 2743 57 they -PRON- PRP 63372 2743 58 would would MD 63372 2743 59 have have VB 63372 2743 60 if if IN 63372 2743 61 they -PRON- PRP 63372 2743 62 did do VBD 63372 2743 63 not not RB 63372 2743 64 pass pass VB 63372 2743 65 through through RP 63372 2743 66 the the DT 63372 2743 67 markedly markedly RB 63372 2743 68 non non JJ 63372 2743 69 - - JJ 63372 2743 70 Euclidean euclidean JJ 63372 2743 71 space space NN 63372 2743 72 near near IN 63372 2743 73 the the DT 63372 2743 74 sun sun NN 63372 2743 75 . . . 63372 2744 1 The the DT 63372 2744 2 consideration consideration NN 63372 2744 3 of of IN 63372 2744 4 the the DT 63372 2744 5 fundamental fundamental JJ 63372 2744 6 four four CD 63372 2744 7 - - HYPH 63372 2744 8 dimensional dimensional JJ 63372 2744 9 space space NN 63372 2744 10 as as IN 63372 2744 11 being be VBG 63372 2744 12 non non JJ 63372 2744 13 - - JJ 63372 2744 14 Euclidean euclidean JJ 63372 2744 15 where where WRB 63372 2744 16 matter matter NN 63372 2744 17 is be VBZ 63372 2744 18 present present JJ 63372 2744 19 gives give VBZ 63372 2744 20 a a DT 63372 2744 21 possibility possibility NN 63372 2744 22 of of IN 63372 2744 23 an an DT 63372 2744 24 answer answer NN 63372 2744 25 to to IN 63372 2744 26 the the DT 63372 2744 27 world world NN 63372 2744 28 old old JJ 63372 2744 29 question question NN 63372 2744 30 : : : 63372 2744 31 Is be VBZ 63372 2744 32 space space NN 63372 2744 33 finite finite JJ 63372 2744 34 or or CC 63372 2744 35 infinite infinite JJ 63372 2744 36 ? ? . 63372 2745 1 Is be VBZ 63372 2745 2 time time NN 63372 2745 3 eternal eternal JJ 63372 2745 4 or or CC 63372 2745 5 finite finite JJ 63372 2745 6 ? ? . 63372 2746 1 The the DT 63372 2746 2 fascinating fascinating JJ 63372 2746 3 possibility possibility NN 63372 2746 4 arises arise VBZ 63372 2746 5 that that IN 63372 2746 6 the the DT 63372 2746 7 space space NN 63372 2746 8 may may MD 63372 2746 9 be be VB 63372 2746 10 like like IN 63372 2746 11 the the DT 63372 2746 12 two two CD 63372 2746 13 - - HYPH 63372 2746 14 dimensional dimensional JJ 63372 2746 15 surface surface NN 63372 2746 16 of of IN 63372 2746 17 a a DT 63372 2746 18 sphere sphere NN 63372 2746 19 which which WDT 63372 2746 20 to to IN 63372 2746 21 a a DT 63372 2746 22 limited limited JJ 63372 2746 23 experience experience NN 63372 2746 24 seems seem VBZ 63372 2746 25 infinite infinite JJ 63372 2746 26 in in IN 63372 2746 27 extent extent NN 63372 2746 28 and and CC 63372 2746 29 flat flat JJ 63372 2746 30 or or CC 63372 2746 31 Euclidean euclidean JJ 63372 2746 32 in in IN 63372 2746 33 character character NN 63372 2746 34 . . . 63372 2747 1 A a DT 63372 2747 2 new new JJ 63372 2747 3 Columbus Columbus NNP 63372 2747 4 now now RB 63372 2747 5 asks ask VBZ 63372 2747 6 us -PRON- PRP 63372 2747 7 to to TO 63372 2747 8 consider consider VB 63372 2747 9 other other JJ 63372 2747 10 possibilities possibility NNS 63372 2747 11 in in IN 63372 2747 12 which which WDT 63372 2747 13 we -PRON- PRP 63372 2747 14 should should MD 63372 2747 15 have have VB 63372 2747 16 a a DT 63372 2747 17 finite finite JJ 63372 2747 18 universe universe NN 63372 2747 19 -- -- : 63372 2747 20 finite finite VB 63372 2747 21 not not RB 63372 2747 22 only only RB 63372 2747 23 as as IN 63372 2747 24 to to IN 63372 2747 25 space space NN 63372 2747 26 measurement measurement NN 63372 2747 27 but but CC 63372 2747 28 as as IN 63372 2747 29 to to IN 63372 2747 30 time time NN 63372 2747 31 ( ( -LRB- 63372 2747 32 for for IN 63372 2747 33 the the DT 63372 2747 34 space space NN 63372 2747 35 may may MD 63372 2747 36 be be VB 63372 2747 37 such such JJ 63372 2747 38 that that IN 63372 2747 39 all all DT 63372 2747 40 of of IN 63372 2747 41 the the DT 63372 2747 42 four four CD 63372 2747 43 coordinates coordinate NNS 63372 2747 44 of of IN 63372 2747 45 its -PRON- PRP$ 63372 2747 46 points point NNS 63372 2747 47 are be VBP 63372 2747 48 bounded bound VBN 63372 2747 49 in in IN 63372 2747 50 magnitude magnitude NN 63372 2747 51 ) ) -RRB- 63372 2747 52 . . . 63372 2748 1 However however RB 63372 2748 2 , , , 63372 2748 3 although although IN 63372 2748 4 Einstein Einstein NNP 63372 2748 5 speaks speak VBZ 63372 2748 6 of of IN 63372 2748 7 the the DT 63372 2748 8 possibility possibility NN 63372 2748 9 of of IN 63372 2748 10 a a DT 63372 2748 11 finite finite JJ 63372 2748 12 universe universe NN 63372 2748 13 , , , 63372 2748 14 we -PRON- PRP 63372 2748 15 do do VBP 63372 2748 16 not not RB 63372 2748 17 , , , 63372 2748 18 personally personally RB 63372 2748 19 , , , 63372 2748 20 think think VB 63372 2748 21 his -PRON- PRP$ 63372 2748 22 argument argument NN 63372 2748 23 convincing convincing NN 63372 2748 24 . . . 63372 2749 1 Points point NNS 63372 2749 2 on on IN 63372 2749 3 a a DT 63372 2749 4 sphere sphere NN 63372 2749 5 may may MD 63372 2749 6 be be VB 63372 2749 7 located locate VBN 63372 2749 8 by by IN 63372 2749 9 the the DT 63372 2749 10 Cartesian cartesian JJ 63372 2749 11 coordinates coordinate NNS 63372 2749 12 of of IN 63372 2749 13 their -PRON- PRP$ 63372 2749 14 stereographic stereographic JJ 63372 2749 15 projections projection NNS 63372 2749 16 on on IN 63372 2749 17 the the DT 63372 2749 18 equatorial equatorial JJ 63372 2749 19 plane plane NN 63372 2749 20 and and CC 63372 2749 21 these these DT 63372 2749 22 coordinates coordinate NNS 63372 2749 23 , , , 63372 2749 24 which which WDT 63372 2749 25 might may MD 63372 2749 26 well well RB 63372 2749 27 be be VB 63372 2749 28 those those DT 63372 2749 29 actually actually RB 63372 2749 30 measured measure VBN 63372 2749 31 , , , 63372 2749 32 are be VBP 63372 2749 33 not not RB 63372 2749 34 bounded bound VBN 63372 2749 35 . . . 63372 2750 1 THE the DT 63372 2750 2 SPECIAL SPECIAL NNP 63372 2750 3 RELATIVITY relativity NN 63372 2750 4 THEORY THEORY NNP 63372 2750 5 In in IN 63372 2750 6 our -PRON- PRP$ 63372 2750 7 account account NN 63372 2750 8 of of IN 63372 2750 9 the the DT 63372 2750 10 Einstein Einstein NNP 63372 2750 11 theory theory NN 63372 2750 12 we -PRON- PRP 63372 2750 13 have have VBP 63372 2750 14 not not RB 63372 2750 15 followed follow VBN 63372 2750 16 its -PRON- PRP$ 63372 2750 17 historical historical JJ 63372 2750 18 order order NN 63372 2750 19 of of IN 63372 2750 20 development development NN 63372 2750 21 for for IN 63372 2750 22 two two CD 63372 2750 23 reasons reason NNS 63372 2750 24 . . . 63372 2751 1 Firstly firstly RB 63372 2751 2 , , , 63372 2751 3 the the DT 63372 2751 4 earlier early JJR 63372 2751 5 Special Special NNP 63372 2751 6 Relativity Relativity NNP 63372 2751 7 Theory Theory NNP 63372 2751 8 properly properly RB 63372 2751 9 belongs belong VBZ 63372 2751 10 to to IN 63372 2751 11 a a DT 63372 2751 12 school school NN 63372 2751 13 of of IN 63372 2751 14 thought thought NN 63372 2751 15 diametrically diametrically RB 63372 2751 16 opposed oppose VBD 63372 2751 17 to to IN 63372 2751 18 that that DT 63372 2751 19 furnishing furnish VBG 63372 2751 20 the the DT 63372 2751 21 " " `` 63372 2751 22 General General NNP 63372 2751 23 Theory Theory NNP 63372 2751 24 of of IN 63372 2751 25 Relativity Relativity NNP 63372 2751 26 " " '' 63372 2751 27 and and CC 63372 2751 28 , , , 63372 2751 29 secondly secondly RB 63372 2751 30 , , , 63372 2751 31 the the DT 63372 2751 32 latter latter JJ 63372 2751 33 can can MD 63372 2751 34 not not RB 63372 2751 35 be be VB 63372 2751 36 obtained obtain VBN 63372 2751 37 from from IN 63372 2751 38 the the DT 63372 2751 39 former former JJ 63372 2751 40 by by IN 63372 2751 41 the the DT 63372 2751 42 process process NN 63372 2751 43 of of IN 63372 2751 44 generalization generalization NN 63372 2751 45 as as IN 63372 2751 46 commonly commonly RB 63372 2751 47 understood understand VBN 63372 2751 48 . . . 63372 2752 1 Einstein Einstein NNP 63372 2752 2 , , , 63372 2752 3 when when WRB 63372 2752 4 proposing propose VBG 63372 2752 5 the the DT 63372 2752 6 earlier early JJR 63372 2752 7 theory theory NN 63372 2752 8 , , , 63372 2752 9 adopted adopt VBD 63372 2752 10 the the DT 63372 2752 11 position position NN 63372 2752 12 of of IN 63372 2752 13 the the DT 63372 2752 14 empiricist empiricist NN 63372 2752 15 so so IN 63372 2752 16 that that IN 63372 2752 17 to to IN 63372 2752 18 him -PRON- PRP 63372 2752 19 the the DT 63372 2752 20 phrase phrase NN 63372 2752 21 , , , 63372 2752 22 a a DT 63372 2752 23 point point NN 63372 2752 24 in in IN 63372 2752 25 space space NN 63372 2752 26 , , , 63372 2752 27 had have VBD 63372 2752 28 no no DT 63372 2752 29 meaning meaning NN 63372 2752 30 without without IN 63372 2752 31 a a DT 63372 2752 32 material material JJ 63372 2752 33 framework framework NN 63372 2752 34 of of IN 63372 2752 35 reference reference NN 63372 2752 36 in in IN 63372 2752 37 which which WDT 63372 2752 38 to to TO 63372 2752 39 measure measure VB 63372 2752 40 space space NN 63372 2752 41 distances distance NNS 63372 2752 42 . . . 63372 2753 1 When when WRB 63372 2753 2 he -PRON- PRP 63372 2753 3 came come VBD 63372 2753 4 to to TO 63372 2753 5 investigate investigate VB 63372 2753 6 what what WP 63372 2753 7 is be VBZ 63372 2753 8 meant mean VBN 63372 2753 9 by by IN 63372 2753 10 time time NN 63372 2753 11 and and CC 63372 2753 12 when when WRB 63372 2753 13 he -PRON- PRP 63372 2753 14 asked ask VBD 63372 2753 15 the the DT 63372 2753 16 question question NN 63372 2753 17 " " `` 63372 2753 18 what what WP 63372 2753 19 is be VBZ 63372 2753 20 meant mean VBN 63372 2753 21 by by IN 63372 2753 22 the the DT 63372 2753 23 statement statement NN 63372 2753 24 that that IN 63372 2753 25 two two CD 63372 2753 26 remote remote JJ 63372 2753 27 events event NNS 63372 2753 28 are be VBP 63372 2753 29 simultaneous simultaneous JJ 63372 2753 30 ? ? . 63372 2753 31 " " '' 63372 2754 1 it -PRON- PRP 63372 2754 2 became become VBD 63372 2754 3 evident evident JJ 63372 2754 4 that that IN 63372 2754 5 some some DT 63372 2754 6 mode mode NN 63372 2754 7 of of IN 63372 2754 8 communication communication NN 63372 2754 9 between between IN 63372 2754 10 the the DT 63372 2754 11 two two CD 63372 2754 12 places place NNS 63372 2754 13 is be VBZ 63372 2754 14 necessary necessary JJ 63372 2754 15 ; ; : 63372 2754 16 the the DT 63372 2754 17 mode mode NN 63372 2754 18 adopted adopt VBN 63372 2754 19 was be VBD 63372 2754 20 that that IN 63372 2754 21 by by IN 63372 2754 22 means mean NNS 63372 2754 23 of of IN 63372 2754 24 light light NN 63372 2754 25 - - HYPH 63372 2754 26 signals signal NNS 63372 2754 27 . . . 63372 2755 1 The the DT 63372 2755 2 fundamental fundamental JJ 63372 2755 3 hypothesis hypothesis NN 63372 2755 4 was be VBD 63372 2755 5 then then RB 63372 2755 6 made make VBN 63372 2755 7 that that IN 63372 2755 8 the the DT 63372 2755 9 velocity velocity NN 63372 2755 10 of of IN 63372 2755 11 such such JJ 63372 2755 12 signals signal NNS 63372 2755 13 is be VBZ 63372 2755 14 independent independent JJ 63372 2755 15 of of IN 63372 2755 16 the the DT 63372 2755 17 velocity velocity NN 63372 2755 18 of of IN 63372 2755 19 their -PRON- PRP$ 63372 2755 20 source source NN 63372 2755 21 ( ( -LRB- 63372 2755 22 some some DT 63372 2755 23 hypothesis hypothesis NN 63372 2755 24 is be VBZ 63372 2755 25 necessary necessary JJ 63372 2755 26 if if IN 63372 2755 27 we -PRON- PRP 63372 2755 28 wish wish VBP 63372 2755 29 to to TO 63372 2755 30 compare compare VB 63372 2755 31 the the DT 63372 2755 32 time time NN 63372 2755 33 associated associate VBN 63372 2755 34 with with IN 63372 2755 35 events event NNS 63372 2755 36 , , , 63372 2755 37 when when WRB 63372 2755 38 one one CD 63372 2755 39 material material NN 63372 2755 40 reference reference NN 63372 2755 41 - - HYPH 63372 2755 42 system system NN 63372 2755 43 is be VBZ 63372 2755 44 used use VBN 63372 2755 45 , , , 63372 2755 46 and and CC 63372 2755 47 the the DT 63372 2755 48 corresponding corresponding JJ 63372 2755 49 time time NN 63372 2755 50 when when WRB 63372 2755 51 another another DT 63372 2755 52 in in IN 63372 2755 53 motion motion NN 63372 2755 54 relative relative JJ 63372 2755 55 to to IN 63372 2755 56 the the DT 63372 2755 57 first first JJ 63372 2755 58 is be VBZ 63372 2755 59 adopted adopt VBN 63372 2755 60 ) ) -RRB- 63372 2755 61 . . . 63372 2756 1 It -PRON- PRP 63372 2756 2 develops develop VBZ 63372 2756 3 that that DT 63372 2756 4 time time NN 63372 2756 5 and and CC 63372 2756 6 space space NN 63372 2756 7 measurements measurement NNS 63372 2756 8 are be VBP 63372 2756 9 inextricably inextricably RB 63372 2756 10 interwoven interwoven JJ 63372 2756 11 ; ; : 63372 2756 12 there there EX 63372 2756 13 is be VBZ 63372 2756 14 no no DT 63372 2756 15 such such JJ 63372 2756 16 thing thing NN 63372 2756 17 as as IN 63372 2756 18 the the DT 63372 2756 19 length length NN 63372 2756 20 of of IN 63372 2756 21 a a DT 63372 2756 22 body body NN 63372 2756 23 or or CC 63372 2756 24 the the DT 63372 2756 25 duration duration NN 63372 2756 26 of of IN 63372 2756 27 an an DT 63372 2756 28 event event NN 63372 2756 29 but but CC 63372 2756 30 rather rather RB 63372 2756 31 these these DT 63372 2756 32 are be VBP 63372 2756 33 relative relative JJ 63372 2756 34 to to IN 63372 2756 35 the the DT 63372 2756 36 reference reference NN 63372 2756 37 - - HYPH 63372 2756 38 system system NN 63372 2756 39 . . . 63372 2757 1 [ [ -LRB- 63372 2757 2 11 11 CD 63372 2757 3 ] ] -RRB- 63372 2757 4 Minkowski Minkowski NNP 63372 2757 5 introduced introduce VBD 63372 2757 6 the the DT 63372 2757 7 idea idea NN 63372 2757 8 of of IN 63372 2757 9 the the DT 63372 2757 10 space space NN 63372 2757 11 of of IN 63372 2757 12 events event NNS 63372 2757 13 -- -- : 63372 2757 14 of of IN 63372 2757 15 four four CD 63372 2757 16 dimensions dimension NNS 63372 2757 17 -- -- : 63372 2757 18 but but CC 63372 2757 19 this this DT 63372 2757 20 space space NN 63372 2757 21 was be VBD 63372 2757 22 supposed suppose VBN 63372 2757 23 Euclidean Euclidean NNP 63372 2757 24 like like IN 63372 2757 25 the the DT 63372 2757 26 three three CD 63372 2757 27 - - HYPH 63372 2757 28 dimensional dimensional JJ 63372 2757 29 space space NN 63372 2757 30 of of IN 63372 2757 31 his -PRON- PRP$ 63372 2757 32 predecessors predecessor NNS 63372 2757 33 . . . 63372 2758 1 To to IN 63372 2758 2 Einstein Einstein NNP 63372 2758 3 belongs belong VBZ 63372 2758 4 the the DT 63372 2758 5 credit credit NN 63372 2758 6 of of IN 63372 2758 7 taking take VBG 63372 2758 8 from from IN 63372 2758 9 this this DT 63372 2758 10 representation representation NN 63372 2758 11 a a DT 63372 2758 12 purely purely RB 63372 2758 13 formal formal JJ 63372 2758 14 mathematical mathematical JJ 63372 2758 15 character character NN 63372 2758 16 and and CC 63372 2758 17 of of IN 63372 2758 18 insisting insist VBG 63372 2758 19 that that IN 63372 2758 20 the the DT 63372 2758 21 " " `` 63372 2758 22 real real JJ 63372 2758 23 " " '' 63372 2758 24 space space NN 63372 2758 25 -- -- : 63372 2758 26 whose whose WP$ 63372 2758 27 distances distance NNS 63372 2758 28 have have VBP 63372 2758 29 a a DT 63372 2758 30 physical physical JJ 63372 2758 31 significance significance NN 63372 2758 32 -- -- : 63372 2758 33 is be VBZ 63372 2758 34 the the DT 63372 2758 35 four four CD 63372 2758 36 - - HYPH 63372 2758 37 dimensional dimensional JJ 63372 2758 38 space space NN 63372 2758 39 . . . 63372 2759 1 But but CC 63372 2759 2 we -PRON- PRP 63372 2759 3 can can MD 63372 2759 4 not not RB 63372 2759 5 insist insist VB 63372 2759 6 too too RB 63372 2759 7 strongly strongly RB 63372 2759 8 on on IN 63372 2759 9 the the DT 63372 2759 10 fact fact NN 63372 2759 11 that that IN 63372 2759 12 in in IN 63372 2759 13 the the DT 63372 2759 14 gravitational gravitational JJ 63372 2759 15 space space NN 63372 2759 16 of of IN 63372 2759 17 the the DT 63372 2759 18 general general JJ 63372 2759 19 theory theory NN 63372 2759 20 there there EX 63372 2759 21 is be VBZ 63372 2759 22 no no DT 63372 2759 23 postulate postulate NN 63372 2759 24 of of IN 63372 2759 25 the the DT 63372 2759 26 constancy constancy NN 63372 2759 27 of of IN 63372 2759 28 velocity velocity NN 63372 2759 29 of of IN 63372 2759 30 a a DT 63372 2759 31 light light JJ 63372 2759 32 - - HYPH 63372 2759 33 signal signal NN 63372 2759 34 and and CC 63372 2759 35 accordingly accordingly RB 63372 2759 36 no no DT 63372 2759 37 method method NN 63372 2759 38 of of IN 63372 2759 39 assigning assign VBG 63372 2759 40 a a DT 63372 2759 41 time time NN 63372 2759 42 to to IN 63372 2759 43 events event NNS 63372 2759 44 corresponding correspond VBG 63372 2759 45 to to IN 63372 2759 46 that that DT 63372 2759 47 adopted adopt VBN 63372 2759 48 in in IN 63372 2759 49 the the DT 63372 2759 50 special special JJ 63372 2759 51 theory theory NN 63372 2759 52 . . . 63372 2760 1 In in IN 63372 2760 2 this this DT 63372 2760 3 latter latter JJ 63372 2760 4 theory theory NN 63372 2760 5 attention attention NN 63372 2760 6 was be VBD 63372 2760 7 confined confine VBN 63372 2760 8 to to IN 63372 2760 9 material material JJ 63372 2760 10 systems system NNS 63372 2760 11 moving move VBG 63372 2760 12 with with IN 63372 2760 13 uniform uniform JJ 63372 2760 14 velocity velocity NN 63372 2760 15 with with IN 63372 2760 16 respect respect NN 63372 2760 17 to to IN 63372 2760 18 each each DT 63372 2760 19 other other JJ 63372 2760 20 and and CC 63372 2760 21 it -PRON- PRP 63372 2760 22 developed develop VBD 63372 2760 23 that that IN 63372 2760 24 the the DT 63372 2760 25 velocity velocity NN 63372 2760 26 of of IN 63372 2760 27 light light NN 63372 2760 28 was be VBD 63372 2760 29 the the DT 63372 2760 30 ultimate ultimate JJ 63372 2760 31 velocity velocity NN 63372 2760 32 faster fast RBR 63372 2760 33 than than IN 63372 2760 34 which which WDT 63372 2760 35 no no DT 63372 2760 36 system system NN 63372 2760 37 could could MD 63372 2760 38 move move VB 63372 2760 39 -- -- : 63372 2760 40 a a DT 63372 2760 41 result result NN 63372 2760 42 surprising surprising JJ 63372 2760 43 and and CC 63372 2760 44 a a DT 63372 2760 45 priori priori FW 63372 2760 46 rather rather RB 63372 2760 47 repugnant repugnant JJ 63372 2760 48 . . . 63372 2761 1 It -PRON- PRP 63372 2761 2 is be VBZ 63372 2761 3 merely merely RB 63372 2761 4 a a DT 63372 2761 5 consequence consequence NN 63372 2761 6 of of IN 63372 2761 7 our -PRON- PRP$ 63372 2761 8 mode mode NN 63372 2761 9 of of IN 63372 2761 10 comparing compare VBG 63372 2761 11 times time NNS 63372 2761 12 of of IN 63372 2761 13 events event NNS 63372 2761 14 ; ; : 63372 2761 15 if if IN 63372 2761 16 some some DT 63372 2761 17 other other JJ 63372 2761 18 method method NN 63372 2761 19 -- -- : 63372 2761 20 thought think VBD 63372 2761 21 transference transference NN 63372 2761 22 , , , 63372 2761 23 let let VB 63372 2761 24 us -PRON- PRP 63372 2761 25 say say VB 63372 2761 26 -- -- : 63372 2761 27 were be VBD 63372 2761 28 possible possible JJ 63372 2761 29 the the DT 63372 2761 30 velocity velocity NN 63372 2761 31 of of IN 63372 2761 32 this this DT 63372 2761 33 would would MD 63372 2761 34 be be VB 63372 2761 35 the the DT 63372 2761 36 " " `` 63372 2761 37 limiting limit VBG 63372 2761 38 velocity velocity NN 63372 2761 39 . . . 63372 2761 40 " " '' 63372 2762 1 In in IN 63372 2762 2 conclusion conclusion NN 63372 2762 3 we -PRON- PRP 63372 2762 4 should should MD 63372 2762 5 remark remark VB 63372 2762 6 that that IN 63372 2762 7 the the DT 63372 2762 8 postulated postulate VBN 63372 2762 9 equivalence equivalence NN 63372 2762 10 of of IN 63372 2762 11 " " `` 63372 2762 12 gravitational gravitational JJ 63372 2762 13 " " '' 63372 2762 14 and and CC 63372 2762 15 " " `` 63372 2762 16 centrifugal centrifugal JJ 63372 2762 17 " " '' 63372 2762 18 forces force NNS 63372 2762 19 demands demand VBZ 63372 2762 20 that that IN 63372 2762 21 anything anything NN 63372 2762 22 possessed possess VBN 63372 2762 23 of of IN 63372 2762 24 inertia inertia NN 63372 2762 25 will will MD 63372 2762 26 be be VB 63372 2762 27 acted act VBN 63372 2762 28 upon upon IN 63372 2762 29 by by IN 63372 2762 30 a a DT 63372 2762 31 gravitational gravitational JJ 63372 2762 32 field field NN 63372 2762 33 and and CC 63372 2762 34 this this DT 63372 2762 35 leads lead VBZ 63372 2762 36 to to IN 63372 2762 37 a a DT 63372 2762 38 possible possible JJ 63372 2762 39 identification identification NN 63372 2762 40 of of IN 63372 2762 41 matter matter NN 63372 2762 42 and and CC 63372 2762 43 energy energy NN 63372 2762 44 . . . 63372 2763 1 Further further RB 63372 2763 2 our -PRON- PRP$ 63372 2763 3 guiding guide VBG 63372 2763 4 idea idea NN 63372 2763 5 ( ( -LRB- 63372 2763 6 a a DT 63372 2763 7 ) ) -RRB- 63372 2763 8 will will MD 63372 2763 9 prompt prompt VB 63372 2763 10 us -PRON- PRP 63372 2763 11 to to TO 63372 2763 12 say say VB 63372 2763 13 , , , 63372 2763 14 following follow VBG 63372 2763 15 the the DT 63372 2763 16 example example NN 63372 2763 17 of of IN 63372 2763 18 Faraday Faraday NNP 63372 2763 19 in in IN 63372 2763 20 his -PRON- PRP$ 63372 2763 21 electrical electrical JJ 63372 2763 22 researches research NNS 63372 2763 23 , , , 63372 2763 24 that that IN 63372 2763 25 the the DT 63372 2763 26 geodesics geodesic NNS 63372 2763 27 of of IN 63372 2763 28 a a DT 63372 2763 29 gravitational gravitational JJ 63372 2763 30 space space NN 63372 2763 31 have have VBP 63372 2763 32 a a DT 63372 2763 33 physical physical JJ 63372 2763 34 existence existence NN 63372 2763 35 as as IN 63372 2763 36 distinct distinct JJ 63372 2763 37 from from IN 63372 2763 38 a a DT 63372 2763 39 mere mere JJ 63372 2763 40 mathematical mathematical JJ 63372 2763 41 one one CD 63372 2763 42 . . . 63372 2764 1 The the DT 63372 2764 2 four four CD 63372 2764 3 - - HYPH 63372 2764 4 dimensional dimensional JJ 63372 2764 5 space space NN 63372 2764 6 we -PRON- PRP 63372 2764 7 may may MD 63372 2764 8 call call VB 63372 2764 9 the the DT 63372 2764 10 ether ether NN 63372 2764 11 , , , 63372 2764 12 and and CC 63372 2764 13 so so RB 63372 2764 14 restore restore VB 63372 2764 15 this this DT 63372 2764 16 bearer bearer NN 63372 2764 17 of of IN 63372 2764 18 physical physical JJ 63372 2764 19 forces force NNS 63372 2764 20 to to IN 63372 2764 21 the the DT 63372 2764 22 position position NN 63372 2764 23 it -PRON- PRP 63372 2764 24 lost lose VBD 63372 2764 25 when when WRB 63372 2764 26 , , , 63372 2764 27 as as IN 63372 2764 28 a a DT 63372 2764 29 three three CD 63372 2764 30 - - HYPH 63372 2764 31 dimensional dimensional JJ 63372 2764 32 idea idea NN 63372 2764 33 in in IN 63372 2764 34 the the DT 63372 2764 35 Special Special NNP 63372 2764 36 Relativity Relativity NNP 63372 2764 37 Theory Theory NNP 63372 2764 38 , , , 63372 2764 39 it -PRON- PRP 63372 2764 40 had have VBD 63372 2764 41 to to TO 63372 2764 42 bear bear VB 63372 2764 43 an an DT 63372 2764 44 identical identical JJ 63372 2764 45 relation relation NN 63372 2764 46 to to IN 63372 2764 47 a a DT 63372 2764 48 multitude multitude NN 63372 2764 49 of of IN 63372 2764 50 relatively relatively RB 63372 2764 51 moving move VBG 63372 2764 52 material material NN 63372 2764 53 systems system NNS 63372 2764 54 . . . 63372 2765 1 The the DT 63372 2765 2 reason reason NN 63372 2765 3 for for IN 63372 2765 4 our -PRON- PRP$ 63372 2765 5 seemingly seemingly RB 63372 2765 6 paradoxical paradoxical JJ 63372 2765 7 title title NN 63372 2765 8 for for IN 63372 2765 9 an an DT 63372 2765 10 essay essay NN 63372 2765 11 on on IN 63372 2765 12 Relativity relativity NN 63372 2765 13 will will MD 63372 2765 14 be be VB 63372 2765 15 clear clear JJ 63372 2765 16 when when WRB 63372 2765 17 it -PRON- PRP 63372 2765 18 is be VBZ 63372 2765 19 remembered remember VBN 63372 2765 20 that that IN 63372 2765 21 in in IN 63372 2765 22 the the DT 63372 2765 23 new new JJ 63372 2765 24 theory theory NN 63372 2765 25 we -PRON- PRP 63372 2765 26 consider consider VBP 63372 2765 27 those those DT 63372 2765 28 space space NN 63372 2765 29 - - HYPH 63372 2765 30 time time NN 63372 2765 31 properties property NNS 63372 2765 32 which which WDT 63372 2765 33 are be VBP 63372 2765 34 absolute absolute JJ 63372 2765 35 or or CC 63372 2765 36 devoid devoid JJ 63372 2765 37 of of IN 63372 2765 38 reference reference NN 63372 2765 39 to to IN 63372 2765 40 any any DT 63372 2765 41 particular particular JJ 63372 2765 42 material material NN 63372 2765 43 reference reference NN 63372 2765 44 - - HYPH 63372 2765 45 frame frame NN 63372 2765 46 . . . 63372 2766 1 Nevertheless nevertheless RB 63372 2766 2 , , , 63372 2766 3 although although IN 63372 2766 4 the the DT 63372 2766 5 general general JJ 63372 2766 6 characteristics characteristic NNS 63372 2766 7 of of IN 63372 2766 8 the the DT 63372 2766 9 theory theory NN 63372 2766 10 are be VBP 63372 2766 11 thus thus RB 63372 2766 12 described describe VBN 63372 2766 13 , , , 63372 2766 14 without without IN 63372 2766 15 reference reference NN 63372 2766 16 to to IN 63372 2766 17 experiment experiment NN 63372 2766 18 , , , 63372 2766 19 when when WRB 63372 2766 20 the the DT 63372 2766 21 theory theory NN 63372 2766 22 is be VBZ 63372 2766 23 to to TO 63372 2766 24 be be VB 63372 2766 25 tested test VBN 63372 2766 26 it -PRON- PRP 63372 2766 27 is be VBZ 63372 2766 28 necessary necessary JJ 63372 2766 29 to to TO 63372 2766 30 state state VB 63372 2766 31 what what WP 63372 2766 32 the the DT 63372 2766 33 four four CD 63372 2766 34 coordinates coordinate NNS 63372 2766 35 discussed discuss VBN 63372 2766 36 actually actually RB 63372 2766 37 are be VBP 63372 2766 38 -- -- : 63372 2766 39 how how WRB 63372 2766 40 they -PRON- PRP 63372 2766 41 are be VBP 63372 2766 42 determined determine VBN 63372 2766 43 by by IN 63372 2766 44 measurement measurement NN 63372 2766 45 . . . 63372 2767 1 It -PRON- PRP 63372 2767 2 is be VBZ 63372 2767 3 our -PRON- PRP$ 63372 2767 4 opinion opinion NN 63372 2767 5 that that IN 63372 2767 6 much much RB 63372 2767 7 remains remain VBZ 63372 2767 8 to to TO 63372 2767 9 be be VB 63372 2767 10 done do VBN 63372 2767 11 to to TO 63372 2767 12 place place VB 63372 2767 13 this this DT 63372 2767 14 portion portion NN 63372 2767 15 of of IN 63372 2767 16 the the DT 63372 2767 17 subject subject NN 63372 2767 18 on on IN 63372 2767 19 a a DT 63372 2767 20 satisfactory satisfactory JJ 63372 2767 21 basis basis NN 63372 2767 22 . . . 63372 2768 1 For for IN 63372 2768 2 example example NN 63372 2768 3 , , , 63372 2768 4 in in IN 63372 2768 5 the the DT 63372 2768 6 derivation derivation NN 63372 2768 7 of of IN 63372 2768 8 the the DT 63372 2768 9 nature nature NN 63372 2768 10 of of IN 63372 2768 11 the the DT 63372 2768 12 gravitational gravitational JJ 63372 2768 13 space space NN 63372 2768 14 , , , 63372 2768 15 surrounding surround VBG 63372 2768 16 a a DT 63372 2768 17 single single JJ 63372 2768 18 attracting attract VBG 63372 2768 19 body body NN 63372 2768 20 , , , 63372 2768 21 most most JJS 63372 2768 22 of of IN 63372 2768 23 the the DT 63372 2768 24 accounts account NNS 63372 2768 25 use use VBP 63372 2768 26 Cartesian cartesian JJ 63372 2768 27 coordinates coordinate NNS 63372 2768 28 as as IN 63372 2768 29 if if IN 63372 2768 30 the the DT 63372 2768 31 space space NN 63372 2768 32 were be VBD 63372 2768 33 Euclidean euclidean JJ 63372 2768 34 and and CC 63372 2768 35 step step VB 63372 2768 36 from from IN 63372 2768 37 these these DT 63372 2768 38 to to IN 63372 2768 39 polar polar JJ 63372 2768 40 coordinates coordinate NNS 63372 2768 41 by by IN 63372 2768 42 the the DT 63372 2768 43 formulà formulà NNP 63372 2768 44 ¦ ¦ NN 63372 2768 45 familiar familiar JJ 63372 2768 46 in in IN 63372 2768 47 Euclidean euclidean JJ 63372 2768 48 geometry geometry NN 63372 2768 49 . . . 63372 2769 1 But but CC 63372 2769 2 these these DT 63372 2769 3 details detail NNS 63372 2769 4 are be VBP 63372 2769 5 , , , 63372 2769 6 perhaps perhaps RB 63372 2769 7 , , , 63372 2769 8 like like IN 63372 2769 9 matters matter NNS 63372 2769 10 of of IN 63372 2769 11 elegance elegance NN 63372 2769 12 , , , 63372 2769 13 if if IN 63372 2769 14 we -PRON- PRP 63372 2769 15 shall shall MD 63372 2769 16 be be VB 63372 2769 17 allowed allow VBN 63372 2769 18 to to TO 63372 2769 19 give give VB 63372 2769 20 Einstein Einstein NNP 63372 2769 21 's 's POS 63372 2769 22 quotation quotation NN 63372 2769 23 from from IN 63372 2769 24 Boltzmann Boltzmann NNP 63372 2769 25 , , , 63372 2769 26 to to TO 63372 2769 27 be be VB 63372 2769 28 left leave VBN 63372 2769 29 to to IN 63372 2769 30 the the DT 63372 2769 31 " " `` 63372 2769 32 tailor tailor NN 63372 2769 33 and and CC 63372 2769 34 the the DT 63372 2769 35 cobbler cobbler NN 63372 2769 36 . . . 63372 2769 37 " " '' 63372 2770 1 XVII XVII NNP 63372 2770 2 THE the DT 63372 2770 3 PHYSICAL physical NN 63372 2770 4 SIDE SIDE NNP 63372 2770 5 OF of IN 63372 2770 6 RELATIVITY RELATIVITY NNP 63372 2770 7 The the DT 63372 2770 8 Immediate Immediate NNP 63372 2770 9 Contacts Contacts NNP 63372 2770 10 Between between IN 63372 2770 11 Einstein Einstein NNP 63372 2770 12 's 's POS 63372 2770 13 Theories Theories NNPS 63372 2770 14 and and CC 63372 2770 15 Current Current NNP 63372 2770 16 Physics Physics NNP 63372 2770 17 and and CC 63372 2770 18 Astronomy Astronomy NNP 63372 2770 19 BY by IN 63372 2770 20 PROFESSOR PROFESSOR NNP 63372 2770 21 WILLIAM WILLIAM NNP 63372 2770 22 H. H. NNP 63372 2770 23 PICKERING PICKERING NNP 63372 2770 24 HARVARD HARVARD NNP 63372 2770 25 COLLEGE COLLEGE NNP 63372 2770 26 OBSERVATORY OBSERVATORY NNP 63372 2770 27 , , , 63372 2770 28 MANDEVILLE MANDEVILLE NNP 63372 2770 29 , , , 63372 2770 30 JAMAICA JAMAICA NNP 63372 2770 31 The the DT 63372 2770 32 Theory Theory NNP 63372 2770 33 of of IN 63372 2770 34 Relativity Relativity NNP 63372 2770 35 will will MD 63372 2770 36 be be VB 63372 2770 37 treated treat VBN 63372 2770 38 first first RB 63372 2770 39 from from IN 63372 2770 40 the the DT 63372 2770 41 physical physical JJ 63372 2770 42 side side NN 63372 2770 43 , , , 63372 2770 44 leaving leave VBG 63372 2770 45 the the DT 63372 2770 46 three three CD 63372 2770 47 astronomical astronomical JJ 63372 2770 48 tests test NNS 63372 2770 49 to to TO 63372 2770 50 which which WDT 63372 2770 51 it -PRON- PRP 63372 2770 52 has have VBZ 63372 2770 53 been be VBN 63372 2770 54 put put VBN 63372 2770 55 to to TO 63372 2770 56 be be VB 63372 2770 57 discussed discuss VBN 63372 2770 58 later later RB 63372 2770 59 . . . 63372 2771 1 There there EX 63372 2771 2 is be VBZ 63372 2771 3 one one CD 63372 2771 4 astronomical astronomical JJ 63372 2771 5 fact fact NN 63372 2771 6 however however RB 63372 2771 7 that that DT 63372 2771 8 must must MD 63372 2771 9 be be VB 63372 2771 10 mentioned mention VBN 63372 2771 11 in in IN 63372 2771 12 this this DT 63372 2771 13 connection connection NN 63372 2771 14 , , , 63372 2771 15 and and CC 63372 2771 16 this this DT 63372 2771 17 is be VBZ 63372 2771 18 the the DT 63372 2771 19 discovery discovery NN 63372 2771 20 of of IN 63372 2771 21 the the DT 63372 2771 22 aberration aberration NN 63372 2771 23 of of IN 63372 2771 24 light light NN 63372 2771 25 by by IN 63372 2771 26 Bradley Bradley NNP 63372 2771 27 in in IN 63372 2771 28 1726 1726 CD 63372 2771 29 . . . 63372 2772 1 It -PRON- PRP 63372 2772 2 is be VBZ 63372 2772 3 found find VBN 63372 2772 4 that that IN 63372 2772 5 every every DT 63372 2772 6 star star NN 63372 2772 7 in in IN 63372 2772 8 the the DT 63372 2772 9 heavens heavens NNPS 63372 2772 10 apparently apparently RB 63372 2772 11 describes describe VBZ 63372 2772 12 a a DT 63372 2772 13 small small JJ 63372 2772 14 annual annual JJ 63372 2772 15 ellipse ellipse NN 63372 2772 16 , , , 63372 2772 17 whose whose WP$ 63372 2772 18 major major JJ 63372 2772 19 axis axi NNS 63372 2772 20 is be VBZ 63372 2772 21 41 41 CD 63372 2772 22 ' ' '' 63372 2772 23 ' ' '' 63372 2772 24 in in IN 63372 2772 25 length length NN 63372 2772 26 . . . 63372 2773 1 This this DT 63372 2773 2 Bradley Bradley NNP 63372 2773 3 showed show VBD 63372 2773 4 to to TO 63372 2773 5 be be VB 63372 2773 6 due due IN 63372 2773 7 to to IN 63372 2773 8 a a DT 63372 2773 9 combination combination NN 63372 2773 10 of of IN 63372 2773 11 the the DT 63372 2773 12 velocity velocity NN 63372 2773 13 of of IN 63372 2773 14 the the DT 63372 2773 15 earth earth NN 63372 2773 16 in in IN 63372 2773 17 its -PRON- PRP$ 63372 2773 18 orbit orbit NN 63372 2773 19 , , , 63372 2773 20 and and CC 63372 2773 21 the the DT 63372 2773 22 velocity velocity NN 63372 2773 23 of of IN 63372 2773 24 light light NN 63372 2773 25 ; ; : 63372 2773 26 and and CC 63372 2773 27 it -PRON- PRP 63372 2773 28 is be VBZ 63372 2773 29 so so RB 63372 2773 30 explained explain VBN 63372 2773 31 in in IN 63372 2773 32 all all PDT 63372 2773 33 the the DT 63372 2773 34 elementary elementary JJ 63372 2773 35 text text NN 63372 2773 36 - - HYPH 63372 2773 37 books book NNS 63372 2773 38 on on IN 63372 2773 39 astronomy astronomy NN 63372 2773 40 . . . 63372 2774 1 It -PRON- PRP 63372 2774 2 implies imply VBZ 63372 2774 3 a a DT 63372 2774 4 stationary stationary JJ 63372 2774 5 ether ether NN 63372 2774 6 through through IN 63372 2774 7 which which WDT 63372 2774 8 the the DT 63372 2774 9 earth earth NN 63372 2774 10 is be VBZ 63372 2774 11 moving move VBG 63372 2774 12 . . . 63372 2775 1 The the DT 63372 2775 2 importance importance NN 63372 2775 3 of of IN 63372 2775 4 this this DT 63372 2775 5 statement statement NN 63372 2775 6 will will MD 63372 2775 7 appear appear VB 63372 2775 8 presently presently RB 63372 2775 9 . . . 63372 2776 1 The the DT 63372 2776 2 subject subject NN 63372 2776 3 is be VBZ 63372 2776 4 usually usually RB 63372 2776 5 illustrated illustrate VBN 63372 2776 6 by by IN 63372 2776 7 supposing suppose VBG 63372 2776 8 a a DT 63372 2776 9 man man NN 63372 2776 10 to to TO 63372 2776 11 go go VB 63372 2776 12 out out RP 63372 2776 13 in in IN 63372 2776 14 a a DT 63372 2776 15 rainstorm rainstorm NN 63372 2776 16 carrying carry VBG 63372 2776 17 a a DT 63372 2776 18 vertical vertical JJ 63372 2776 19 tube tube NN 63372 2776 20 . . . 63372 2777 1 If if IN 63372 2777 2 the the DT 63372 2777 3 rain rain NN 63372 2777 4 is be VBZ 63372 2777 5 falling fall VBG 63372 2777 6 vertically vertically RB 63372 2777 7 , , , 63372 2777 8 and and CC 63372 2777 9 the the DT 63372 2777 10 man man NN 63372 2777 11 stands stand VBZ 63372 2777 12 still still RB 63372 2777 13 , , , 63372 2777 14 the the DT 63372 2777 15 sides side NNS 63372 2777 16 of of IN 63372 2777 17 the the DT 63372 2777 18 tube tube NN 63372 2777 19 will will MD 63372 2777 20 not not RB 63372 2777 21 be be VB 63372 2777 22 wet wet JJ 63372 2777 23 , , , 63372 2777 24 save save RB 63372 2777 25 by by IN 63372 2777 26 an an DT 63372 2777 27 occasional occasional JJ 63372 2777 28 drop drop NN 63372 2777 29 , , , 63372 2777 30 but but CC 63372 2777 31 if if IN 63372 2777 32 the the DT 63372 2777 33 tube tube NN 63372 2777 34 is be VBZ 63372 2777 35 moved move VBN 63372 2777 36 , , , 63372 2777 37 it -PRON- PRP 63372 2777 38 must must MD 63372 2777 39 then then RB 63372 2777 40 be be VB 63372 2777 41 inclined incline VBN 63372 2777 42 forward forward RB 63372 2777 43 in in IN 63372 2777 44 order order NN 63372 2777 45 to to TO 63372 2777 46 keep keep VB 63372 2777 47 it -PRON- PRP 63372 2777 48 dry dry JJ 63372 2777 49 . . . 63372 2778 1 The the DT 63372 2778 2 angle angle NN 63372 2778 3 of of IN 63372 2778 4 inclination inclination NN 63372 2778 5 , , , 63372 2778 6 which which WDT 63372 2778 7 corresponds correspond VBZ 63372 2778 8 to to IN 63372 2778 9 aberration aberration NN 63372 2778 10 , , , 63372 2778 11 will will MD 63372 2778 12 depend depend VB 63372 2778 13 on on IN 63372 2778 14 the the DT 63372 2778 15 relative relative JJ 63372 2778 16 velocity velocity NN 63372 2778 17 of of IN 63372 2778 18 the the DT 63372 2778 19 tube tube NN 63372 2778 20 , , , 63372 2778 21 corresponding correspond VBG 63372 2778 22 to to IN 63372 2778 23 the the DT 63372 2778 24 earth earth NN 63372 2778 25 , , , 63372 2778 26 and and CC 63372 2778 27 the the DT 63372 2778 28 rain rain NN 63372 2778 29 drops drop NNS 63372 2778 30 which which WDT 63372 2778 31 correspond correspond VBP 63372 2778 32 to to IN 63372 2778 33 the the DT 63372 2778 34 waves wave NNS 63372 2778 35 of of IN 63372 2778 36 light light NN 63372 2778 37 . . . 63372 2779 1 If if IN 63372 2779 2 three three CD 63372 2779 3 lines line NNS 63372 2779 4 are be VBP 63372 2779 5 dropped drop VBN 63372 2779 6 upon upon IN 63372 2779 7 a a DT 63372 2779 8 point point NN 63372 2779 9 in in IN 63372 2779 10 space space NN 63372 2779 11 , , , 63372 2779 12 each each DT 63372 2779 13 line line NN 63372 2779 14 being be VBG 63372 2779 15 perpendicular perpendicular JJ 63372 2779 16 to to IN 63372 2779 17 the the DT 63372 2779 18 plane plane NN 63372 2779 19 containing contain VBG 63372 2779 20 the the DT 63372 2779 21 other other JJ 63372 2779 22 two two CD 63372 2779 23 , , , 63372 2779 24 we -PRON- PRP 63372 2779 25 have have VBP 63372 2779 26 what what WP 63372 2779 27 is be VBZ 63372 2779 28 known know VBN 63372 2779 29 as as IN 63372 2779 30 a a DT 63372 2779 31 system system NN 63372 2779 32 of of IN 63372 2779 33 coordinates coordinate NNS 63372 2779 34 . . . 63372 2780 1 Einstein Einstein NNP 63372 2780 2 's 's POS 63372 2780 3 original original JJ 63372 2780 4 theory theory NN 63372 2780 5 of of IN 63372 2780 6 relativity relativity NN 63372 2780 7 , , , 63372 2780 8 which which WDT 63372 2780 9 he -PRON- PRP 63372 2780 10 now now RB 63372 2780 11 designates designate VBZ 63372 2780 12 as as IN 63372 2780 13 the the DT 63372 2780 14 " " `` 63372 2780 15 special special JJ 63372 2780 16 theory theory NN 63372 2780 17 , , , 63372 2780 18 " " '' 63372 2780 19 depends depend VBZ 63372 2780 20 on on IN 63372 2780 21 two two CD 63372 2780 22 principles principle NNS 63372 2780 23 . . . 63372 2781 1 The the DT 63372 2781 2 first first JJ 63372 2781 3 is be VBZ 63372 2781 4 that that IN 63372 2781 5 " " `` 63372 2781 6 Every every DT 63372 2781 7 law law NN 63372 2781 8 of of IN 63372 2781 9 nature nature NN 63372 2781 10 which which WDT 63372 2781 11 holds hold VBZ 63372 2781 12 good good JJ 63372 2781 13 with with IN 63372 2781 14 respect respect NN 63372 2781 15 to to IN 63372 2781 16 a a DT 63372 2781 17 coordinate coordinate JJ 63372 2781 18 system system NN 63372 2781 19 $ $ $ 63372 2781 20 K$ K$ NNP 63372 2781 21 must must MD 63372 2781 22 also also RB 63372 2781 23 hold hold VB 63372 2781 24 good good JJ 63372 2781 25 for for IN 63372 2781 26 any any DT 63372 2781 27 other other JJ 63372 2781 28 system system NN 63372 2781 29 $ $ $ 63372 2781 30 K'$ k'$ NN 63372 2781 31 , , , 63372 2781 32 provided provide VBD 63372 2781 33 that that IN 63372 2781 34 $ $ $ 63372 2781 35 K$ K$ NNP 63372 2781 36 and and CC 63372 2781 37 $ $ $ 63372 2781 38 K'$ k'$ NN 63372 2781 39 are be VBP 63372 2781 40 in in IN 63372 2781 41 uniform uniform JJ 63372 2781 42 movement movement NN 63372 2781 43 of of IN 63372 2781 44 translation translation NN 63372 2781 45 . . . 63372 2781 46 " " '' 63372 2782 1 The the DT 63372 2782 2 second second JJ 63372 2782 3 principle principle NN 63372 2782 4 is be VBZ 63372 2782 5 that that IN 63372 2782 6 " " `` 63372 2782 7 Light light NN 63372 2782 8 in in IN 63372 2782 9 a a DT 63372 2782 10 vacuum vacuum NN 63372 2782 11 has have VBZ 63372 2782 12 a a DT 63372 2782 13 definite definite JJ 63372 2782 14 and and CC 63372 2782 15 constant constant JJ 63372 2782 16 velocity velocity NN 63372 2782 17 , , , 63372 2782 18 independent independent JJ 63372 2782 19 of of IN 63372 2782 20 the the DT 63372 2782 21 velocity velocity NN 63372 2782 22 of of IN 63372 2782 23 its -PRON- PRP$ 63372 2782 24 source source NN 63372 2782 25 . . . 63372 2782 26 " " '' 63372 2783 1 These these DT 63372 2783 2 two two CD 63372 2783 3 sentences sentence NNS 63372 2783 4 may may MD 63372 2783 5 be be VB 63372 2783 6 considered consider VBN 63372 2783 7 as as IN 63372 2783 8 authoritative authoritative JJ 63372 2783 9 , , , 63372 2783 10 being be VBG 63372 2783 11 quoted quote VBN 63372 2783 12 in in IN 63372 2783 13 Einstein Einstein NNP 63372 2783 14 's 's POS 63372 2783 15 own own JJ 63372 2783 16 words.1 words.1 NN 63372 2783 17 The the DT 63372 2783 18 first first JJ 63372 2783 19 of of IN 63372 2783 20 these these DT 63372 2783 21 principles principle NNS 63372 2783 22 need need VBP 63372 2783 23 not not RB 63372 2783 24 greatly greatly RB 63372 2783 25 surprise surprise VB 63372 2783 26 us -PRON- PRP 63372 2783 27 . . . 63372 2784 1 The the DT 63372 2784 2 second second JJ 63372 2784 3 is be VBZ 63372 2784 4 not not RB 63372 2784 5 well well RB 63372 2784 6 expressed express VBN 63372 2784 7 , , , 63372 2784 8 because because IN 63372 2784 9 it -PRON- PRP 63372 2784 10 is be VBZ 63372 2784 11 ambiguous ambiguous JJ 63372 2784 12 . . . 63372 2785 1 He -PRON- PRP 63372 2785 2 does do VBZ 63372 2785 3 not not RB 63372 2785 4 say say VB 63372 2785 5 how how WRB 63372 2785 6 the the DT 63372 2785 7 first first JJ 63372 2785 8 " " `` 63372 2785 9 velocity velocity NN 63372 2785 10 " " '' 63372 2785 11 is be VBZ 63372 2785 12 measured measure VBN 63372 2785 13 , , , 63372 2785 14 whether whether IN 63372 2785 15 relatively relatively RB 63372 2785 16 to to IN 63372 2785 17 the the DT 63372 2785 18 ether ether NN 63372 2785 19 or or CC 63372 2785 20 relatively relatively RB 63372 2785 21 to to IN 63372 2785 22 the the DT 63372 2785 23 observer observer NN 63372 2785 24 . . . 63372 2786 1 In in IN 63372 2786 2 fact fact NN 63372 2786 3 this this DT 63372 2786 4 is be VBZ 63372 2786 5 the the DT 63372 2786 6 very very RB 63372 2786 7 gist gist NN 63372 2786 8 of of IN 63372 2786 9 the the DT 63372 2786 10 whole whole JJ 63372 2786 11 matter matter NN 63372 2786 12 , , , 63372 2786 13 as as IN 63372 2786 14 we -PRON- PRP 63372 2786 15 shall shall MD 63372 2786 16 presently presently RB 63372 2786 17 see see VB 63372 2786 18 . . . 63372 2787 1 In in IN 63372 2787 2 the the DT 63372 2787 3 case case NN 63372 2787 4 of of IN 63372 2787 5 sound sound JJ 63372 2787 6 the the DT 63372 2787 7 velocity velocity NN 63372 2787 8 is be VBZ 63372 2787 9 constant constant JJ 63372 2787 10 with with IN 63372 2787 11 regard regard NN 63372 2787 12 to to IN 63372 2787 13 the the DT 63372 2787 14 medium medium NN 63372 2787 15 , , , 63372 2787 16 the the DT 63372 2787 17 air air NN 63372 2787 18 , , , 63372 2787 19 in in IN 63372 2787 20 the the DT 63372 2787 21 case case NN 63372 2787 22 of of IN 63372 2787 23 light light NN 63372 2787 24 it -PRON- PRP 63372 2787 25 is be VBZ 63372 2787 26 supposed suppose VBN 63372 2787 27 to to TO 63372 2787 28 be be VB 63372 2787 29 constant constant JJ 63372 2787 30 with with IN 63372 2787 31 regard regard NN 63372 2787 32 to to IN 63372 2787 33 the the DT 63372 2787 34 observer observer NN 63372 2787 35 . . . 63372 2788 1 It -PRON- PRP 63372 2788 2 reaches reach VBZ 63372 2788 3 him -PRON- PRP 63372 2788 4 with with IN 63372 2788 5 a a DT 63372 2788 6 constant constant JJ 63372 2788 7 velocity velocity NN 63372 2788 8 , , , 63372 2788 9 no no RB 63372 2788 10 matter matter RB 63372 2788 11 how how WRB 63372 2788 12 he -PRON- PRP 63372 2788 13 moves move VBZ 63372 2788 14 . . . 63372 2789 1 In in IN 63372 2789 2 order order NN 63372 2789 3 to to TO 63372 2789 4 understand understand VB 63372 2789 5 this this DT 63372 2789 6 statement statement NN 63372 2789 7 clearly clearly RB 63372 2789 8 let let VBD 63372 2789 9 us -PRON- PRP 63372 2789 10 consider consider VB 63372 2789 11 the the DT 63372 2789 12 appended append VBN 63372 2789 13 tabular tabular JJ 63372 2789 14 diagram diagram NN 63372 2789 15 . . . 63372 2790 1 On on IN 63372 2790 2 a a DT 63372 2790 3 calm calm JJ 63372 2790 4 day day NN 63372 2790 5 imagine imagine VBP 63372 2790 6 a a DT 63372 2790 7 source source NN 63372 2790 8 of of IN 63372 2790 9 sound sound NN 63372 2790 10 at at IN 63372 2790 11 $ $ $ 63372 2790 12 S$ s$ CD 63372 2790 13 in in IN 63372 2790 14 line line NN 63372 2790 15 a. a. NN 63372 2791 1 This this DT 63372 2791 2 may may MD 63372 2791 3 be be VB 63372 2791 4 either either CC 63372 2791 5 a a DT 63372 2791 6 gun gun NN 63372 2791 7 or or CC 63372 2791 8 a a DT 63372 2791 9 bell bell NN 63372 2791 10 . . . 63372 2792 1 Imagine imagine VB 63372 2792 2 an an DT 63372 2792 3 observer observer NN 63372 2792 4 1,100 1,100 CD 63372 2792 5 feet foot NNS 63372 2792 6 distant distant JJ 63372 2792 7 , , , 63372 2792 8 located locate VBN 63372 2792 9 at at IN 63372 2792 10 $ $ $ 63372 2792 11 O$. o$. NN 63372 2793 1 The the DT 63372 2793 2 velocity velocity NN 63372 2793 3 of of IN 63372 2793 4 sound sound NN 63372 2793 5 in in IN 63372 2793 6 air air NN 63372 2793 7 is be VBZ 63372 2793 8 1,100 1,100 CD 63372 2793 9 feet foot NNS 63372 2793 10 per per IN 63372 2793 11 second second NN 63372 2793 12 . . . 63372 2794 1 This this DT 63372 2794 2 velocity velocity NN 63372 2794 3 we -PRON- PRP 63372 2794 4 will will MD 63372 2794 5 take take VB 63372 2794 6 as as IN 63372 2794 7 unity unity NN 63372 2794 8 , , , 63372 2794 9 as as IN 63372 2794 10 indicated indicate VBN 63372 2794 11 in in IN 63372 2794 12 the the DT 63372 2794 13 third third JJ 63372 2794 14 column column NN 63372 2794 15 , , , 63372 2794 16 and and CC 63372 2794 17 the the DT 63372 2794 18 velocity velocity NN 63372 2794 19 with with IN 63372 2794 20 which which WDT 63372 2794 21 the the DT 63372 2794 22 sound sound NN 63372 2794 23 reaches reach VBZ 63372 2794 24 the the DT 63372 2794 25 observer observer NN 63372 2794 26 is be VBZ 63372 2794 27 also also RB 63372 2794 28 1 1 CD 63372 2794 29 , , , 63372 2794 30 as as IN 63372 2794 31 shown show VBN 63372 2794 32 in in IN 63372 2794 33 the the DT 63372 2794 34 fourth fourth JJ 63372 2794 35 . . . 63372 2795 1 It -PRON- PRP 63372 2795 2 will will MD 63372 2795 3 reach reach VB 63372 2795 4 him -PRON- PRP 63372 2795 5 in in IN 63372 2795 6 a a DT 63372 2795 7 unit unit NN 63372 2795 8 interval interval NN 63372 2795 9 of of IN 63372 2795 10 1 1 CD 63372 2795 11 second second JJ 63372 2795 12 , , , 63372 2795 13 as as IN 63372 2795 14 shown show VBN 63372 2795 15 in in IN 63372 2795 16 the the DT 63372 2795 17 fifth fifth NN 63372 2795 18 . . . 63372 2796 1 If if IN 63372 2796 2 the the DT 63372 2796 3 bell bell NN 63372 2796 4 is be VBZ 63372 2796 5 struck strike VBN 63372 2796 6 , , , 63372 2796 7 it -PRON- PRP 63372 2796 8 will will MD 63372 2796 9 give give VB 63372 2796 10 its -PRON- PRP$ 63372 2796 11 normal normal JJ 63372 2796 12 pitch pitch NN 63372 2796 13 or or CC 63372 2796 14 frequency frequency NN 63372 2796 15 , , , 63372 2796 16 which which WDT 63372 2796 17 we -PRON- PRP 63372 2796 18 will will MD 63372 2796 19 also also RB 63372 2796 20 call call VB 63372 2796 21 unity unity NN 63372 2796 22 , , , 63372 2796 23 in in IN 63372 2796 24 the the DT 63372 2796 25 sixth sixth JJ 63372 2796 26 column column NN 63372 2796 27 . . . 63372 2797 1 Now now RB 63372 2797 2 imagine imagine VB 63372 2797 3 case case NN 63372 2797 4 b b CD 63372 2797 5 where where WRB 63372 2797 6 the the DT 63372 2797 7 observer observer NN 63372 2797 8 is be VBZ 63372 2797 9 on on IN 63372 2797 10 a a DT 63372 2797 11 train train NN 63372 2797 12 advancing advance VBG 63372 2797 13 toward toward IN 63372 2797 14 $ $ $ 63372 2797 15 S$. s$. NN 63372 2798 1 When when WRB 63372 2798 2 he -PRON- PRP 63372 2798 3 is be VBZ 63372 2798 4 1,100 1,100 CD 63372 2798 5 feet foot NNS 63372 2798 6 distant distant JJ 63372 2798 7 , , , 63372 2798 8 the the DT 63372 2798 9 gun gun NN 63372 2798 10 is be VBZ 63372 2798 11 fired fire VBN 63372 2798 12 , , , 63372 2798 13 but but CC 63372 2798 14 as as IN 63372 2798 15 he -PRON- PRP 63372 2798 16 is be VBZ 63372 2798 17 advancing advance VBG 63372 2798 18 toward toward IN 63372 2798 19 it -PRON- PRP 63372 2798 20 , , , 63372 2798 21 he -PRON- PRP 63372 2798 22 hears hear VBZ 63372 2798 23 it -PRON- PRP 63372 2798 24 at at IN 63372 2798 25 $ $ $ 63372 2798 26 O$ O$ NNP 63372 2798 27 in in IN 63372 2798 28 rather rather RB 63372 2798 29 less less JJR 63372 2798 30 than than IN 63372 2798 31 a a DT 63372 2798 32 second second JJ 63372 2798 33 , , , 63372 2798 34 as as IN 63372 2798 35 shown show VBN 63372 2798 36 in in IN 63372 2798 37 the the DT 63372 2798 38 fifth fifth JJ 63372 2798 39 column column NN 63372 2798 40 . . . 63372 2799 1 The the DT 63372 2799 2 velocity velocity NN 63372 2799 3 of of IN 63372 2799 4 the the DT 63372 2799 5 sound sound NN 63372 2799 6 with with IN 63372 2799 7 regard regard NN 63372 2799 8 to to IN 63372 2799 9 him -PRON- PRP 63372 2799 10 is be VBZ 63372 2799 11 rather rather RB 63372 2799 12 more more JJR 63372 2799 13 than than IN 63372 2799 14 unity unity NN 63372 2799 15 , , , 63372 2799 16 as as IN 63372 2799 17 shown show VBN 63372 2799 18 in in IN 63372 2799 19 the the DT 63372 2799 20 fourth fourth JJ 63372 2799 21 column column NN 63372 2799 22 . . . 63372 2800 1 If if IN 63372 2800 2 the the DT 63372 2800 3 bell bell NN 63372 2800 4 is be VBZ 63372 2800 5 sounded sound VBN 63372 2800 6 , , , 63372 2800 7 the the DT 63372 2800 8 pitch pitch NN 63372 2800 9 , , , 63372 2800 10 that that RB 63372 2800 11 is be VBZ 63372 2800 12 the the DT 63372 2800 13 frequency frequency NN 63372 2800 14 , , , 63372 2800 15 is be VBZ 63372 2800 16 raised raise VBN 63372 2800 17 , , , 63372 2800 18 because because IN 63372 2800 19 he -PRON- PRP 63372 2800 20 receives receive VBZ 63372 2800 21 more more RBR 63372 2800 22 sound sound JJ 63372 2800 23 waves wave NNS 63372 2800 24 per per IN 63372 2800 25 second second NN 63372 2800 26 than than IN 63372 2800 27 before before RB 63372 2800 28 . . . 63372 2801 1 In in IN 63372 2801 2 case case NN 63372 2801 3 c c NNP 63372 2801 4 the the DT 63372 2801 5 observer observer NN 63372 2801 6 is be VBZ 63372 2801 7 stationary stationary JJ 63372 2801 8 , , , 63372 2801 9 but but CC 63372 2801 10 the the DT 63372 2801 11 source source NN 63372 2801 12 of of IN 63372 2801 13 sound sound NN 63372 2801 14 is be VBZ 63372 2801 15 receding recede VBG 63372 2801 16 . . . 63372 2802 1 At at IN 63372 2802 2 a a DT 63372 2802 3 distance distance NN 63372 2802 4 of of IN 63372 2802 5 1,100 1,100 CD 63372 2802 6 feet foot NNS 63372 2802 7 the the DT 63372 2802 8 gun gun NN 63372 2802 9 is be VBZ 63372 2802 10 fired fire VBN 63372 2802 11 , , , 63372 2802 12 and and CC 63372 2802 13 the the DT 63372 2802 14 observer observer NN 63372 2802 15 hears hear VBZ 63372 2802 16 it -PRON- PRP 63372 2802 17 after after IN 63372 2802 18 an an DT 63372 2802 19 interval interval NN 63372 2802 20 of of IN 63372 2802 21 just just RB 63372 2802 22 one one CD 63372 2802 23 second second NN 63372 2802 24 , , , 63372 2802 25 as as IN 63372 2802 26 in in IN 63372 2802 27 case case NN 63372 2802 28 a. a. NN 63372 2803 1 The the DT 63372 2803 2 velocities velocity NNS 63372 2803 3 with with IN 63372 2803 4 regard regard NN 63372 2803 5 to to IN 63372 2803 6 the the DT 63372 2803 7 observer observer NN 63372 2803 8 and and CC 63372 2803 9 through through IN 63372 2803 10 the the DT 63372 2803 11 medium medium NN 63372 2803 12 are be VBP 63372 2803 13 also also RB 63372 2803 14 unity unity NN 63372 2803 15 . . . 63372 2804 1 If if IN 63372 2804 2 the the DT 63372 2804 3 bell bell NN 63372 2804 4 is be VBZ 63372 2804 5 struck strike VBN 63372 2804 6 the the DT 63372 2804 7 pitch pitch NN 63372 2804 8 is be VBZ 63372 2804 9 lowered lower VBN 63372 2804 10 , , , 63372 2804 11 since since IN 63372 2804 12 he -PRON- PRP 63372 2804 13 receives receive VBZ 63372 2804 14 fewer few JJR 63372 2804 15 sound sound JJ 63372 2804 16 waves wave NNS 63372 2804 17 per per IN 63372 2804 18 second second NN 63372 2804 19 , , , 63372 2804 20 the the DT 63372 2804 21 reverse reverse NN 63372 2804 22 of of IN 63372 2804 23 case case NN 63372 2804 24 b. b. NNP 63372 2804 25 Velocity Velocity NNP 63372 2804 26 Source Source NNP 63372 2804 27 in in IN 63372 2804 28 to to IN 63372 2804 29 Interval Interval NNP 63372 2804 30 Frequency Frequency NNP 63372 2804 31 Observer Observer NNP 63372 2804 32 Medium Medium NNP 63372 2804 33 Observer Observer NNP 63372 2804 34 Air Air NNP 63372 2804 35 a a DT 63372 2804 36 S s NN 63372 2804 37 1 1 CD 63372 2804 38 1 1 CD 63372 2804 39 1 1 CD 63372 2804 40 1 1 CD 63372 2804 41 O o NN 63372 2804 42 b b NN 63372 2804 43 S s NN 63372 2804 44 1 1 CD 63372 2804 45 1 1 CD 63372 2804 46 + + CD 63372 2804 47 1- 1- NN 63372 2804 48 1 1 CD 63372 2804 49 + + SYM 63372 2804 50 O o NN 63372 2804 51 c c NN 63372 2804 52 S s NN 63372 2804 53 1 1 CD 63372 2804 54 1 1 CD 63372 2804 55 1 1 CD 63372 2804 56 1- 1- NNP 63372 2804 57 O o NN 63372 2804 58 d d NN 63372 2804 59 S s NN 63372 2804 60 1 1 CD 63372 2804 61 1 1 CD 63372 2804 62 + + CD 63372 2804 63 1- 1- NN 63372 2804 64 1 1 CD 63372 2804 65 O o NN 63372 2804 66 Ether Ether NNP 63372 2804 67 A a NN 63372 2804 68 S s NN 63372 2804 69 1 1 CD 63372 2804 70 1 1 CD 63372 2804 71 1 1 CD 63372 2804 72 1 1 CD 63372 2804 73 O o NN 63372 2804 74 B b NN 63372 2804 75 S S NNP 63372 2804 76 1- 1- NNP 63372 2804 77 1 1 CD 63372 2804 78 1 1 CD 63372 2804 79 1 1 CD 63372 2804 80 + + CC 63372 2804 81 O o NN 63372 2804 82 C c NN 63372 2804 83 S s NN 63372 2804 84 1 1 CD 63372 2804 85 1 1 CD 63372 2804 86 1 1 CD 63372 2804 87 1- 1- NN 63372 2804 88 O o NN 63372 2804 89 D d NN 63372 2804 90 S s NN 63372 2804 91 1 1 CD 63372 2804 92 - - SYM 63372 2804 93 1 1 CD 63372 2804 94 1 1 CD 63372 2804 95 1 1 CD 63372 2804 96 O o NN 63372 2804 97 In in IN 63372 2804 98 case case NN 63372 2804 99 d d LS 63372 2804 100 imagine imagine VBP 63372 2804 101 the the DT 63372 2804 102 source source NN 63372 2804 103 and and CC 63372 2804 104 the the DT 63372 2804 105 observer observer NN 63372 2804 106 1,100 1,100 CD 63372 2804 107 feet foot NNS 63372 2804 108 apart apart RB 63372 2804 109 , , , 63372 2804 110 and and CC 63372 2804 111 advancing advance VBG 63372 2804 112 on on IN 63372 2804 113 the the DT 63372 2804 114 same same JJ 63372 2804 115 train train NN 63372 2804 116 . . . 63372 2805 1 When when WRB 63372 2805 2 the the DT 63372 2805 3 gun gun NN 63372 2805 4 is be VBZ 63372 2805 5 fired fire VBN 63372 2805 6 , , , 63372 2805 7 the the DT 63372 2805 8 velocity velocity NN 63372 2805 9 of of IN 63372 2805 10 the the DT 63372 2805 11 sound sound JJ 63372 2805 12 waves wave NNS 63372 2805 13 will will MD 63372 2805 14 be be VB 63372 2805 15 greater great JJR 63372 2805 16 with with IN 63372 2805 17 regard regard NN 63372 2805 18 to to IN 63372 2805 19 the the DT 63372 2805 20 observer observer NN 63372 2805 21 , , , 63372 2805 22 and and CC 63372 2805 23 he -PRON- PRP 63372 2805 24 will will MD 63372 2805 25 hear hear VB 63372 2805 26 the the DT 63372 2805 27 sound sound NN 63372 2805 28 in in IN 63372 2805 29 less less JJR 63372 2805 30 than than IN 63372 2805 31 a a DT 63372 2805 32 second second JJ 63372 2805 33 , , , 63372 2805 34 as as IN 63372 2805 35 in in IN 63372 2805 36 case case NN 63372 2805 37 b. b. NNP 63372 2806 1 When when WRB 63372 2806 2 the the DT 63372 2806 3 bell bell NN 63372 2806 4 is be VBZ 63372 2806 5 struck strike VBN 63372 2806 6 it -PRON- PRP 63372 2806 7 will will MD 63372 2806 8 have have VB 63372 2806 9 the the DT 63372 2806 10 normal normal JJ 63372 2806 11 pitch pitch NN 63372 2806 12 , , , 63372 2806 13 the the DT 63372 2806 14 same same JJ 63372 2806 15 as as IN 63372 2806 16 in in IN 63372 2806 17 case case NN 63372 2806 18 a. a. NN 63372 2807 1 We -PRON- PRP 63372 2807 2 find find VBP 63372 2807 3 therefore therefore RB 63372 2807 4 that that IN 63372 2807 5 for for IN 63372 2807 6 sound sound JJ 63372 2807 7 the the DT 63372 2807 8 velocity velocity NN 63372 2807 9 with with IN 63372 2807 10 regard regard NN 63372 2807 11 to to IN 63372 2807 12 the the DT 63372 2807 13 medium medium NN 63372 2807 14 is be VBZ 63372 2807 15 always always RB 63372 2807 16 unity unity NN 63372 2807 17 , , , 63372 2807 18 while while IN 63372 2807 19 the the DT 63372 2807 20 velocity velocity NN 63372 2807 21 with with IN 63372 2807 22 regard regard NN 63372 2807 23 to to IN 63372 2807 24 the the DT 63372 2807 25 observer observer NN 63372 2807 26 , , , 63372 2807 27 and and CC 63372 2807 28 the the DT 63372 2807 29 interval interval NN 63372 2807 30 elapsed elapse VBD 63372 2807 31 , , , 63372 2807 32 depend depend VBP 63372 2807 33 only only RB 63372 2807 34 on on IN 63372 2807 35 the the DT 63372 2807 36 motion motion NN 63372 2807 37 of of IN 63372 2807 38 the the DT 63372 2807 39 observer observer NN 63372 2807 40 himself -PRON- PRP 63372 2807 41 , , , 63372 2807 42 and and CC 63372 2807 43 are be VBP 63372 2807 44 independent independent JJ 63372 2807 45 of of IN 63372 2807 46 the the DT 63372 2807 47 motion motion NN 63372 2807 48 of of IN 63372 2807 49 the the DT 63372 2807 50 source source NN 63372 2807 51 . . . 63372 2808 1 The the DT 63372 2808 2 frequency frequency NN 63372 2808 3 of of IN 63372 2808 4 the the DT 63372 2808 5 vibrations vibration NNS 63372 2808 6 , , , 63372 2808 7 on on IN 63372 2808 8 the the DT 63372 2808 9 other other JJ 63372 2808 10 hand hand NN 63372 2808 11 , , , 63372 2808 12 depends depend VBZ 63372 2808 13 only only RB 63372 2808 14 on on IN 63372 2808 15 the the DT 63372 2808 16 relative relative JJ 63372 2808 17 motion motion NN 63372 2808 18 of of IN 63372 2808 19 the the DT 63372 2808 20 observer observer NN 63372 2808 21 and and CC 63372 2808 22 the the DT 63372 2808 23 source source NN 63372 2808 24 , , , 63372 2808 25 but but CC 63372 2808 26 is be VBZ 63372 2808 27 independent independent JJ 63372 2808 28 of of IN 63372 2808 29 their -PRON- PRP$ 63372 2808 30 common common JJ 63372 2808 31 motion motion NN 63372 2808 32 in in IN 63372 2808 33 any any DT 63372 2808 34 direction direction NN 63372 2808 35 . . . 63372 2809 1 Further further RB 63372 2809 2 , , , 63372 2809 3 it -PRON- PRP 63372 2809 4 makes make VBZ 63372 2809 5 no no DT 63372 2809 6 difference difference NN 63372 2809 7 whether whether IN 63372 2809 8 the the DT 63372 2809 9 source source NN 63372 2809 10 and and CC 63372 2809 11 the the DT 63372 2809 12 observer observer NN 63372 2809 13 are be VBP 63372 2809 14 moving move VBG 63372 2809 15 on on IN 63372 2809 16 a a DT 63372 2809 17 train train NN 63372 2809 18 , , , 63372 2809 19 or or CC 63372 2809 20 whether whether IN 63372 2809 21 they -PRON- PRP 63372 2809 22 are be VBP 63372 2809 23 stationary stationary JJ 63372 2809 24 , , , 63372 2809 25 and and CC 63372 2809 26 a a DT 63372 2809 27 uniform uniform JJ 63372 2809 28 wind wind NN 63372 2809 29 is be VBZ 63372 2809 30 blowing blow VBG 63372 2809 31 past past IN 63372 2809 32 them -PRON- PRP 63372 2809 33 . . . 63372 2810 1 In in IN 63372 2810 2 the the DT 63372 2810 3 case case NN 63372 2810 4 of of IN 63372 2810 5 light light JJ 63372 2810 6 waves wave NNS 63372 2810 7 we -PRON- PRP 63372 2810 8 shall shall MD 63372 2810 9 find find VB 63372 2810 10 a a DT 63372 2810 11 very very RB 63372 2810 12 different different JJ 63372 2810 13 state state NN 63372 2810 14 of of IN 63372 2810 15 affairs affair NNS 63372 2810 16 , , , 63372 2810 17 although although IN 63372 2810 18 the the DT 63372 2810 19 rules rule NNS 63372 2810 20 for for IN 63372 2810 21 frequency frequency NN 63372 2810 22 are be VBP 63372 2810 23 the the DT 63372 2810 24 same same JJ 63372 2810 25 as as IN 63372 2810 26 they -PRON- PRP 63372 2810 27 are be VBP 63372 2810 28 for for IN 63372 2810 29 sound sound NN 63372 2810 30 . . . 63372 2811 1 In in IN 63372 2811 2 case case NN 63372 2811 3 A a DT 63372 2811 4 we -PRON- PRP 63372 2811 5 have have VBP 63372 2811 6 the the DT 63372 2811 7 normal normal JJ 63372 2811 8 conditions condition NNS 63372 2811 9 , , , 63372 2811 10 where where WRB 63372 2811 11 both both PDT 63372 2811 12 the the DT 63372 2811 13 source source NN 63372 2811 14 and and CC 63372 2811 15 observers observer NNS 63372 2811 16 are be VBP 63372 2811 17 stationary stationary JJ 63372 2811 18 . . . 63372 2812 1 In in IN 63372 2812 2 case case NN 63372 2812 3 B B NNP 63372 2812 4 we -PRON- PRP 63372 2812 5 have have VBP 63372 2812 6 a a DT 63372 2812 7 representation representation NN 63372 2812 8 of of IN 63372 2812 9 the the DT 63372 2812 10 Michelson Michelson NNP 63372 2812 11 - - HYPH 63372 2812 12 Morley Morley NNP 63372 2812 13 experiment experiment NN 63372 2812 14 as as IN 63372 2812 15 supplemented supplement VBN 63372 2812 16 by by IN 63372 2812 17 that that DT 63372 2812 18 of of IN 63372 2812 19 Majorana,2 Majorana,2 NNP 63372 2812 20 where where WRB 63372 2812 21 the the DT 63372 2812 22 source source NN 63372 2812 23 is be VBZ 63372 2812 24 stationary stationary JJ 63372 2812 25 and and CC 63372 2812 26 the the DT 63372 2812 27 observer observer NN 63372 2812 28 advances advance VBZ 63372 2812 29 . . . 63372 2813 1 Unlike unlike IN 63372 2813 2 the the DT 63372 2813 3 case case NN 63372 2813 4 of of IN 63372 2813 5 sound sound NN 63372 2813 6 , , , 63372 2813 7 the the DT 63372 2813 8 interval interval NN 63372 2813 9 elapsed elapse VBD 63372 2813 10 , , , 63372 2813 11 as as IN 63372 2813 12 shown show VBN 63372 2813 13 by by IN 63372 2813 14 the the DT 63372 2813 15 experiment experiment NN 63372 2813 16 , , , 63372 2813 17 is be VBZ 63372 2813 18 now now RB 63372 2813 19 the the DT 63372 2813 20 same same JJ 63372 2813 21 as as IN 63372 2813 22 in in IN 63372 2813 23 case case NN 63372 2813 24 A A NNP 63372 2813 25 , , , 63372 2813 26 and and CC 63372 2813 27 since since IN 63372 2813 28 the the DT 63372 2813 29 distance distance NN 63372 2813 30 to to IN 63372 2813 31 the the DT 63372 2813 32 observer observer NN 63372 2813 33 is be VBZ 63372 2813 34 less less JJR 63372 2813 35 , , , 63372 2813 36 the the DT 63372 2813 37 velocity velocity NN 63372 2813 38 of of IN 63372 2813 39 light light NN 63372 2813 40 with with IN 63372 2813 41 respect respect NN 63372 2813 42 to to IN 63372 2813 43 the the DT 63372 2813 44 ether ether NN 63372 2813 45 must must MD 63372 2813 46 also also RB 63372 2813 47 be be VB 63372 2813 48 less less JJR 63372 2813 49 than than IN 63372 2813 50 unity unity NN 63372 2813 51 . . . 63372 2814 1 Since since IN 63372 2814 2 the the DT 63372 2814 3 observer observer NN 63372 2814 4 is be VBZ 63372 2814 5 advancing advance VBG 63372 2814 6 against against IN 63372 2814 7 the the DT 63372 2814 8 light light NN 63372 2814 9 , , , 63372 2814 10 this this DT 63372 2814 11 will will MD 63372 2814 12 permit permit VB 63372 2814 13 the the DT 63372 2814 14 velocity velocity NN 63372 2814 15 of of IN 63372 2814 16 light light NN 63372 2814 17 with with IN 63372 2814 18 regard regard NN 63372 2814 19 to to IN 63372 2814 20 the the DT 63372 2814 21 observer observer NN 63372 2814 22 to to TO 63372 2814 23 remain remain VB 63372 2814 24 unity unity NN 63372 2814 25 , , , 63372 2814 26 in in IN 63372 2814 27 conformity conformity NN 63372 2814 28 with with IN 63372 2814 29 the the DT 63372 2814 30 second second JJ 63372 2814 31 principle principle NN 63372 2814 32 of of IN 63372 2814 33 relativity relativity NN 63372 2814 34 . . . 63372 2815 1 Compare compare VB 63372 2815 2 with with IN 63372 2815 3 case case NN 63372 2815 4 b b NNP 63372 2815 5 for for IN 63372 2815 6 sound sound NN 63372 2815 7 . . . 63372 2816 1 As as IN 63372 2816 2 Jeans Jeans NNPS 63372 2816 3 expresses express VBZ 63372 2816 4 it -PRON- PRP 63372 2816 5 , , , 63372 2816 6 " " `` 63372 2816 7 The the DT 63372 2816 8 velocity velocity NN 63372 2816 9 of of IN 63372 2816 10 light light NN 63372 2816 11 in in IN 63372 2816 12 all all DT 63372 2816 13 directions direction NNS 63372 2816 14 is be VBZ 63372 2816 15 the the DT 63372 2816 16 same same JJ 63372 2816 17 , , , 63372 2816 18 whatever whatever WDT 63372 2816 19 the the DT 63372 2816 20 motion motion NN 63372 2816 21 of of IN 63372 2816 22 the the DT 63372 2816 23 observer observer NN 63372 2816 24 . . . 63372 2817 1 " " `` 63372 2817 2 3 3 CD 63372 2817 3 That that DT 63372 2817 4 is be VBZ 63372 2817 5 to to TO 63372 2817 6 say say VB 63372 2817 7 it -PRON- PRP 63372 2817 8 appears appear VBZ 63372 2817 9 to to TO 63372 2817 10 be be VB 63372 2817 11 the the DT 63372 2817 12 same same JJ 63372 2817 13 to to IN 63372 2817 14 him -PRON- PRP 63372 2817 15 , , , 63372 2817 16 however however RB 63372 2817 17 he -PRON- PRP 63372 2817 18 moves move VBZ 63372 2817 19 . . . 63372 2818 1 Case case NN 63372 2818 2 C C NNP 63372 2818 3 represents represent VBZ 63372 2818 4 Einstein Einstein NNP 63372 2818 5 's 's POS 63372 2818 6 statement statement NN 63372 2818 7 , , , 63372 2818 8 as as IN 63372 2818 9 confirmed confirm VBN 63372 2818 10 by by IN 63372 2818 11 Majorana Majorana NNP 63372 2818 12 's 's POS 63372 2818 13 experiment experiment NN 63372 2818 14 . . . 63372 2819 1 It -PRON- PRP 63372 2819 2 does do VBZ 63372 2819 3 not not RB 63372 2819 4 differ differ VB 63372 2819 5 from from IN 63372 2819 6 case case NN 63372 2819 7 c c NNP 63372 2819 8 for for IN 63372 2819 9 sound sound NN 63372 2819 10 . . . 63372 2820 1 Case case NN 63372 2820 2 D d NN 63372 2820 3 is be VBZ 63372 2820 4 more more RBR 63372 2820 5 complex complex JJ 63372 2820 6 , , , 63372 2820 7 but but CC 63372 2820 8 accepting accept VBG 63372 2820 9 the the DT 63372 2820 10 statement statement NN 63372 2820 11 above above IN 63372 2820 12 that that IN 63372 2820 13 the the DT 63372 2820 14 velocity velocity NN 63372 2820 15 is be VBZ 63372 2820 16 constant constant JJ 63372 2820 17 with with IN 63372 2820 18 regard regard NN 63372 2820 19 to to IN 63372 2820 20 the the DT 63372 2820 21 observer observer NN 63372 2820 22 , , , 63372 2820 23 we -PRON- PRP 63372 2820 24 see see VBP 63372 2820 25 that that IN 63372 2820 26 the the DT 63372 2820 27 velocity velocity NN 63372 2820 28 through through IN 63372 2820 29 the the DT 63372 2820 30 medium medium NN 63372 2820 31 must must MD 63372 2820 32 be be VB 63372 2820 33 less less JJR 63372 2820 34 , , , 63372 2820 35 and and CC 63372 2820 36 that that IN 63372 2820 37 the the DT 63372 2820 38 interval interval NN 63372 2820 39 elapsed elapse VBD 63372 2820 40 will will MD 63372 2820 41 be be VB 63372 2820 42 constant constant JJ 63372 2820 43 , , , 63372 2820 44 as as IN 63372 2820 45 in in IN 63372 2820 46 case case NN 63372 2820 47 B. B. NNP 63372 2821 1 Could Could MD 63372 2821 2 we -PRON- PRP 63372 2821 3 use use VB 63372 2821 4 the the DT 63372 2821 5 brighter bright JJR 63372 2821 6 stars star NNS 63372 2821 7 and and CC 63372 2821 8 planets planet NNS 63372 2821 9 as as IN 63372 2821 10 sources source NNS 63372 2821 11 of of IN 63372 2821 12 light light NN 63372 2821 13 , , , 63372 2821 14 several several JJ 63372 2821 15 of of IN 63372 2821 16 these these DT 63372 2821 17 cases case NNS 63372 2821 18 could could MD 63372 2821 19 be be VB 63372 2821 20 further further RB 63372 2821 21 tested test VBN 63372 2821 22 . . . 63372 2822 1 This this DT 63372 2822 2 brings bring VBZ 63372 2822 3 us -PRON- PRP 63372 2822 4 at at IN 63372 2822 5 once once RB 63372 2822 6 to to IN 63372 2822 7 statements statement NNS 63372 2822 8 that that WDT 63372 2822 9 contradict contradict VBP 63372 2822 10 our -PRON- PRP$ 63372 2822 11 common common JJ 63372 2822 12 sense sense NN 63372 2822 13 . . . 63372 2823 1 For for IN 63372 2823 2 instance instance NN 63372 2823 3 , , , 63372 2823 4 Jeans Jeans NNP 63372 2823 5 says say VBZ 63372 2823 6 " " `` 63372 2823 7 no no RB 63372 2823 8 matter matter RB 63372 2823 9 what what WP 63372 2823 10 the the DT 63372 2823 11 velocity velocity NN 63372 2823 12 of of IN 63372 2823 13 the the DT 63372 2823 14 observer observer NN 63372 2823 15 is be VBZ 63372 2823 16 , , , 63372 2823 17 the the DT 63372 2823 18 light light JJ 63372 2823 19 surface surface NN 63372 2823 20 , , , 63372 2823 21 as as IN 63372 2823 22 observed observe VBN 63372 2823 23 by by IN 63372 2823 24 that that DT 63372 2823 25 observer observer NN 63372 2823 26 , , , 63372 2823 27 is be VBZ 63372 2823 28 invariably invariably RB 63372 2823 29 a a DT 63372 2823 30 sphere sphere NN 63372 2823 31 having have VBG 63372 2823 32 that that DT 63372 2823 33 observer observer NN 63372 2823 34 as as IN 63372 2823 35 center center NN 63372 2823 36 . . . 63372 2824 1 " " `` 63372 2824 2 3 3 CD 63372 2824 3 That that DT 63372 2824 4 is be VBZ 63372 2824 5 to to TO 63372 2824 6 say say VB 63372 2824 7 the the DT 63372 2824 8 light light JJ 63372 2824 9 surface surface NN 63372 2824 10 , , , 63372 2824 11 or or CC 63372 2824 12 wave wave VB 63372 2824 13 front front NN 63372 2824 14 , , , 63372 2824 15 is be VBZ 63372 2824 16 a a DT 63372 2824 17 contracting contracting NN 63372 2824 18 , , , 63372 2824 19 not not RB 63372 2824 20 an an DT 63372 2824 21 expanding expanding NN 63372 2824 22 , , , 63372 2824 23 sphere sphere RB 63372 2824 24 . . . 63372 2825 1 This this DT 63372 2825 2 , , , 63372 2825 3 if if IN 63372 2825 4 confirmed confirm VBN 63372 2825 5 , , , 63372 2825 6 would would MD 63372 2825 7 go go VB 63372 2825 8 a a DT 63372 2825 9 long long JJ 63372 2825 10 way way NN 63372 2825 11 toward toward IN 63372 2825 12 making make VBG 63372 2825 13 our -PRON- PRP$ 63372 2825 14 universe universe NN 63372 2825 15 a a DT 63372 2825 16 subjective subjective JJ 63372 2825 17 rather rather RB 63372 2825 18 than than IN 63372 2825 19 an an DT 63372 2825 20 objective objective JJ 63372 2825 21 phenomenon phenomenon NN 63372 2825 22 . . . 63372 2826 1 Again again RB 63372 2826 2 imagine imagine VB 63372 2826 3 a a DT 63372 2826 4 flash flash NN 63372 2826 5 of of IN 63372 2826 6 light light NN 63372 2826 7 , , , 63372 2826 8 such such JJ 63372 2826 9 as as IN 63372 2826 10 an an DT 63372 2826 11 explosion explosion NN 63372 2826 12 , , , 63372 2826 13 to to TO 63372 2826 14 occur occur VB 63372 2826 15 when when WRB 63372 2826 16 an an DT 63372 2826 17 observer observer NN 63372 2826 18 is be VBZ 63372 2826 19 in in IN 63372 2826 20 a a DT 63372 2826 21 given give VBN 63372 2826 22 position position NN 63372 2826 23 . . . 63372 2827 1 It -PRON- PRP 63372 2827 2 makes make VBZ 63372 2827 3 no no DT 63372 2827 4 difference difference NN 63372 2827 5 how how WRB 63372 2827 6 the the DT 63372 2827 7 observer observer NN 63372 2827 8 may may MD 63372 2827 9 move move VB 63372 2827 10 while while IN 63372 2827 11 the the DT 63372 2827 12 light light NN 63372 2827 13 is be VBZ 63372 2827 14 approaching approach VBG 63372 2827 15 him -PRON- PRP 63372 2827 16 , , , 63372 2827 17 whether whether IN 63372 2827 18 several several JJ 63372 2827 19 miles mile NNS 63372 2827 20 forward forward RB 63372 2827 21 or or CC 63372 2827 22 backward backward RB 63372 2827 23 , , , 63372 2827 24 the the DT 63372 2827 25 light light NN 63372 2827 26 will will MD 63372 2827 27 reach reach VB 63372 2827 28 him -PRON- PRP 63372 2827 29 in in IN 63372 2827 30 exactly exactly RB 63372 2827 31 the the DT 63372 2827 32 same same JJ 63372 2827 33 time time NN 63372 2827 34 , , , 63372 2827 35 as as IN 63372 2827 36 is be VBZ 63372 2827 37 shown show VBN 63372 2827 38 by by IN 63372 2827 39 Michelson Michelson NNP 63372 2827 40 's 's POS 63372 2827 41 experiment experiment NN 63372 2827 42 . . . 63372 2828 1 Or or CC 63372 2828 2 if if IN 63372 2828 3 two two CD 63372 2828 4 observers observer NNS 63372 2828 5 are be VBP 63372 2828 6 at at IN 63372 2828 7 the the DT 63372 2828 8 same same JJ 63372 2828 9 spot spot NN 63372 2828 10 when when WRB 63372 2828 11 the the DT 63372 2828 12 explosion explosion NN 63372 2828 13 occurs occur VBZ 63372 2828 14 , , , 63372 2828 15 and and CC 63372 2828 16 one one CD 63372 2828 17 moves move VBZ 63372 2828 18 forward forward RB 63372 2828 19 , , , 63372 2828 20 and and CC 63372 2828 21 the the DT 63372 2828 22 other other JJ 63372 2828 23 backward backward JJ 63372 2828 24 , , , 63372 2828 25 they -PRON- PRP 63372 2828 26 will will MD 63372 2828 27 both both RB 63372 2828 28 see see VB 63372 2828 29 the the DT 63372 2828 30 explosion explosion NN 63372 2828 31 at at IN 63372 2828 32 exactly exactly RB 63372 2828 33 the the DT 63372 2828 34 same same JJ 63372 2828 35 instant instant NN 63372 2828 36 . . . 63372 2829 1 This this DT 63372 2829 2 sounds sound VBZ 63372 2829 3 ridiculous ridiculous JJ 63372 2829 4 , , , 63372 2829 5 but but CC 63372 2829 6 not not RB 63372 2829 7 only only RB 63372 2829 8 is be VBZ 63372 2829 9 it -PRON- PRP 63372 2829 10 what what WP 63372 2829 11 Jeans Jeans NNPS 63372 2829 12 says say VBZ 63372 2829 13 , , , 63372 2829 14 but but CC 63372 2829 15 it -PRON- PRP 63372 2829 16 is be VBZ 63372 2829 17 the the DT 63372 2829 18 logical logical JJ 63372 2829 19 interpretation interpretation NN 63372 2829 20 of of IN 63372 2829 21 Einstein Einstein NNP 63372 2829 22 's 's POS 63372 2829 23 second second JJ 63372 2829 24 principle principle NN 63372 2829 25 , , , 63372 2829 26 if if IN 63372 2829 27 Einstein Einstein NNP 63372 2829 28 means mean VBZ 63372 2829 29 by by IN 63372 2829 30 velocity velocity NN 63372 2829 31 , , , 63372 2829 32 velocity velocity NN 63372 2829 33 with with IN 63372 2829 34 regard regard NN 63372 2829 35 to to IN 63372 2829 36 the the DT 63372 2829 37 observer observer NN 63372 2829 38 . . . 63372 2830 1 If if IN 63372 2830 2 he -PRON- PRP 63372 2830 3 means mean VBZ 63372 2830 4 velocity velocity NN 63372 2830 5 with with IN 63372 2830 6 regard regard NN 63372 2830 7 to to IN 63372 2830 8 the the DT 63372 2830 9 medium medium NN 63372 2830 10 , , , 63372 2830 11 then then RB 63372 2830 12 the the DT 63372 2830 13 case case NN 63372 2830 14 is be VBZ 63372 2830 15 exactly exactly RB 63372 2830 16 the the DT 63372 2830 17 same same JJ 63372 2830 18 as as IN 63372 2830 19 that that DT 63372 2830 20 of of IN 63372 2830 21 sound sound NN 63372 2830 22 in in IN 63372 2830 23 air air NN 63372 2830 24 , , , 63372 2830 25 and and CC 63372 2830 26 Michelson Michelson NNP 63372 2830 27 's 's POS 63372 2830 28 experiment experiment NN 63372 2830 29 as as RB 63372 2830 30 well well RB 63372 2830 31 as as IN 63372 2830 32 the the DT 63372 2830 33 Maxwell Maxwell NNP 63372 2830 34 - - HYPH 63372 2830 35 Lorentz Lorentz NNP 63372 2830 36 theory theory NN 63372 2830 37 of of IN 63372 2830 38 light light NN 63372 2830 39 are be VBP 63372 2830 40 contradicted contradict VBN 63372 2830 41 . . . 63372 2831 1 This this DT 63372 2831 2 theory theory NN 63372 2831 3 is be VBZ 63372 2831 4 now now RB 63372 2831 5 universally universally RB 63372 2831 6 accepted accept VBN 63372 2831 7 , , , 63372 2831 8 and and CC 63372 2831 9 Michelson Michelson NNP 63372 2831 10 's 's POS 63372 2831 11 experiment experiment NN 63372 2831 12 has have VBZ 63372 2831 13 been be VBN 63372 2831 14 carefully carefully RB 63372 2831 15 repeated repeat VBN 63372 2831 16 by by IN 63372 2831 17 other other JJ 63372 2831 18 observers observer NNS 63372 2831 19 , , , 63372 2831 20 and and CC 63372 2831 21 fully fully RB 63372 2831 22 confirmed confirm VBN 63372 2831 23 . . . 63372 2832 1 This this DT 63372 2832 2 is be VBZ 63372 2832 3 the the DT 63372 2832 4 very very JJ 63372 2832 5 heart heart NN 63372 2832 6 of of IN 63372 2832 7 the the DT 63372 2832 8 relativity relativity NN 63372 2832 9 question question NN 63372 2832 10 . . . 63372 2833 1 If if IN 63372 2833 2 we -PRON- PRP 63372 2833 3 state state VBP 63372 2833 4 the the DT 63372 2833 5 matter matter NN 63372 2833 6 objectively objectively RB 63372 2833 7 it -PRON- PRP 63372 2833 8 comes come VBZ 63372 2833 9 to to IN 63372 2833 10 this this DT 63372 2833 11 . . . 63372 2834 1 The the DT 63372 2834 2 velocity velocity NN 63372 2834 3 of of IN 63372 2834 4 light light NN 63372 2834 5 with with IN 63372 2834 6 regard regard NN 63372 2834 7 to to IN 63372 2834 8 the the DT 63372 2834 9 ether ether NN 63372 2834 10 is be VBZ 63372 2834 11 a a DT 63372 2834 12 variable variable JJ 63372 2834 13 quantity quantity NN 63372 2834 14 , , , 63372 2834 15 depending depend VBG 63372 2834 16 merely merely RB 63372 2834 17 on on IN 63372 2834 18 where where WRB 63372 2834 19 the the DT 63372 2834 20 observer observer NN 63372 2834 21 chooses choose VBZ 63372 2834 22 to to TO 63372 2834 23 go go VB 63372 2834 24 . . . 63372 2835 1 As as IN 63372 2835 2 Eddington Eddington NNP 63372 2835 3 well well RB 63372 2835 4 says say VBZ 63372 2835 5 , , , 63372 2835 6 " " `` 63372 2835 7 these these DT 63372 2835 8 relations relation NNS 63372 2835 9 to to IN 63372 2835 10 the the DT 63372 2835 11 ether ether NN 63372 2835 12 have have VBP 63372 2835 13 no no DT 63372 2835 14 effect effect NN 63372 2835 15 on on IN 63372 2835 16 the the DT 63372 2835 17 phenomena phenomenon NNS 63372 2835 18 and and CC 63372 2835 19 can can MD 63372 2835 20 be be VB 63372 2835 21 disregarded disregard VBN 63372 2835 22 -- -- : 63372 2835 23 a a DT 63372 2835 24 step step NN 63372 2835 25 which which WDT 63372 2835 26 appears appear VBZ 63372 2835 27 to to TO 63372 2835 28 divest divest VB 63372 2835 29 the the DT 63372 2835 30 ether ether NN 63372 2835 31 of of IN 63372 2835 32 the the DT 63372 2835 33 last last JJ 63372 2835 34 remnants remnant NNS 63372 2835 35 of of IN 63372 2835 36 substantiality substantiality NN 63372 2835 37 . . . 63372 2836 1 " " `` 63372 2836 2 4 4 CD 63372 2836 3 The the DT 63372 2836 4 only only JJ 63372 2836 5 way way NN 63372 2836 6 of of IN 63372 2836 7 avoiding avoid VBG 63372 2836 8 this this DT 63372 2836 9 apparent apparent JJ 63372 2836 10 absurdity absurdity NN 63372 2836 11 seems seem VBZ 63372 2836 12 to to TO 63372 2836 13 be be VB 63372 2836 14 to to TO 63372 2836 15 consider consider VB 63372 2836 16 that that IN 63372 2836 17 the the DT 63372 2836 18 ether ether NN 63372 2836 19 moves move VBZ 63372 2836 20 with with IN 63372 2836 21 the the DT 63372 2836 22 earth earth NN 63372 2836 23 . . . 63372 2837 1 Michelson Michelson NNP 63372 2837 2 's 's POS 63372 2837 3 result result NN 63372 2837 4 would would MD 63372 2837 5 then then RB 63372 2837 6 be be VB 63372 2837 7 fully fully RB 63372 2837 8 explained explain VBN 63372 2837 9 . . . 63372 2838 1 Of of RB 63372 2838 2 course course RB 63372 2838 3 this this DT 63372 2838 4 can can MD 63372 2838 5 only only RB 63372 2838 6 be be VB 63372 2838 7 true true JJ 63372 2838 8 for for IN 63372 2838 9 a a DT 63372 2838 10 few few JJ 63372 2838 11 miles mile NNS 63372 2838 12 above above IN 63372 2838 13 the the DT 63372 2838 14 earth earth NN 63372 2838 15 's 's POS 63372 2838 16 surface surface NN 63372 2838 17 . . . 63372 2839 1 Beyond beyond IN 63372 2839 2 that that IN 63372 2839 3 the the DT 63372 2839 4 ether ether NN 63372 2839 5 must must MD 63372 2839 6 either either CC 63372 2839 7 be be VB 63372 2839 8 stationary stationary JJ 63372 2839 9 or or CC 63372 2839 10 move move VB 63372 2839 11 with with IN 63372 2839 12 the the DT 63372 2839 13 sun sun NN 63372 2839 14 . . . 63372 2840 1 The the DT 63372 2840 2 velocity velocity NN 63372 2840 3 of of IN 63372 2840 4 light light NN 63372 2840 5 with with IN 63372 2840 6 regard regard NN 63372 2840 7 to to IN 63372 2840 8 the the DT 63372 2840 9 ether ether NN 63372 2840 10 would would MD 63372 2840 11 then then RB 63372 2840 12 be be VB 63372 2840 13 a a DT 63372 2840 14 constant constant JJ 63372 2840 15 , , , 63372 2840 16 just just RB 63372 2840 17 as as IN 63372 2840 18 the the DT 63372 2840 19 velocity velocity NN 63372 2840 20 of of IN 63372 2840 21 sound sound NN 63372 2840 22 is be VBZ 63372 2840 23 constant constant JJ 63372 2840 24 with with IN 63372 2840 25 regard regard NN 63372 2840 26 to to IN 63372 2840 27 the the DT 63372 2840 28 air air NN 63372 2840 29 . . . 63372 2841 1 This this DT 63372 2841 2 would would MD 63372 2841 3 contradict contradict VB 63372 2841 4 Einstein Einstein NNP 63372 2841 5 's 's POS 63372 2841 6 second second JJ 63372 2841 7 principle principle NN 63372 2841 8 as as IN 63372 2841 9 it -PRON- PRP 63372 2841 10 is be VBZ 63372 2841 11 generally generally RB 63372 2841 12 understood understand VBN 63372 2841 13 . . . 63372 2842 1 The the DT 63372 2842 2 trouble trouble NN 63372 2842 3 with with IN 63372 2842 4 this this DT 63372 2842 5 suggestion suggestion NN 63372 2842 6 is be VBZ 63372 2842 7 that that IN 63372 2842 8 it -PRON- PRP 63372 2842 9 fails fail VBZ 63372 2842 10 to to TO 63372 2842 11 account account VB 63372 2842 12 for for IN 63372 2842 13 aberration aberration NN 63372 2842 14 , , , 63372 2842 15 which which WDT 63372 2842 16 , , , 63372 2842 17 as as IN 63372 2842 18 already already RB 63372 2842 19 explained explain VBN 63372 2842 20 , , , 63372 2842 21 appears appear VBZ 63372 2842 22 to to TO 63372 2842 23 require require VB 63372 2842 24 that that IN 63372 2842 25 the the DT 63372 2842 26 earth earth NN 63372 2842 27 should should MD 63372 2842 28 be be VB 63372 2842 29 moving move VBG 63372 2842 30 through through IN 63372 2842 31 the the DT 63372 2842 32 ether ether NN 63372 2842 33 . . . 63372 2843 1 To to TO 63372 2843 2 meet meet VB 63372 2843 3 this this DT 63372 2843 4 emergency emergency NN 63372 2843 5 would would MD 63372 2843 6 involve involve VB 63372 2843 7 some some DT 63372 2843 8 modification modification NN 63372 2843 9 of of IN 63372 2843 10 the the DT 63372 2843 11 undulatory undulatory JJ 63372 2843 12 theory theory NN 63372 2843 13 of of IN 63372 2843 14 light light NN 63372 2843 15 , , , 63372 2843 16 which which WDT 63372 2843 17 apparently apparently RB 63372 2843 18 would would MD 63372 2843 19 not not RB 63372 2843 20 be be VB 63372 2843 21 impossible impossible JJ 63372 2843 22 , , , 63372 2843 23 but but CC 63372 2843 24 has have VBZ 63372 2843 25 not not RB 63372 2843 26 yet yet RB 63372 2843 27 been be VBN 63372 2843 28 made make VBN 63372 2843 29 . . . 63372 2844 1 In in IN 63372 2844 2 1915 1915 CD 63372 2844 3 Einstein Einstein NNP 63372 2844 4 brought bring VBD 63372 2844 5 out out RP 63372 2844 6 an an DT 63372 2844 7 extension extension NN 63372 2844 8 of of IN 63372 2844 9 his -PRON- PRP$ 63372 2844 10 first first JJ 63372 2844 11 principle principle NN 63372 2844 12 . . . 63372 2845 1 This this DT 63372 2845 2 he -PRON- PRP 63372 2845 3 calls call VBZ 63372 2845 4 the the DT 63372 2845 5 " " `` 63372 2845 6 general general JJ 63372 2845 7 theory theory NN 63372 2845 8 of of IN 63372 2845 9 relativity relativity NN 63372 2845 10 . . . 63372 2845 11 " " '' 63372 2846 1 It -PRON- PRP 63372 2846 2 states state VBZ 63372 2846 3 that that IN 63372 2846 4 in in IN 63372 2846 5 our -PRON- PRP$ 63372 2846 6 choice choice NN 63372 2846 7 of of IN 63372 2846 8 coordinate coordinate JJ 63372 2846 9 systems system NNS 63372 2846 10 we -PRON- PRP 63372 2846 11 " " `` 63372 2846 12 should should MD 63372 2846 13 not not RB 63372 2846 14 be be VB 63372 2846 15 limited limit VBN 63372 2846 16 in in IN 63372 2846 17 any any DT 63372 2846 18 way way NN 63372 2846 19 so so RB 63372 2846 20 far far RB 63372 2846 21 as as IN 63372 2846 22 their -PRON- PRP$ 63372 2846 23 state state NN 63372 2846 24 of of IN 63372 2846 25 motion motion NN 63372 2846 26 is be VBZ 63372 2846 27 concerned concern VBN 63372 2846 28 . . . 63372 2847 1 " " `` 63372 2847 2 1 1 CD 63372 2847 3 This this DT 63372 2847 4 leads lead VBZ 63372 2847 5 to to IN 63372 2847 6 the the DT 63372 2847 7 three three CD 63372 2847 8 astronomical astronomical JJ 63372 2847 9 consequences consequence NNS 63372 2847 10 mentioned mention VBN 63372 2847 11 later later RB 63372 2847 12 in in IN 63372 2847 13 this this DT 63372 2847 14 paper paper NN 63372 2847 15 , , , 63372 2847 16 two two CD 63372 2847 17 of of IN 63372 2847 18 which which WDT 63372 2847 19 have have VBP 63372 2847 20 been be VBN 63372 2847 21 more more RBR 63372 2847 22 or or CC 63372 2847 23 less less RBR 63372 2847 24 confirmed confirmed JJ 63372 2847 25 , , , 63372 2847 26 and and CC 63372 2847 27 the the DT 63372 2847 28 third third JJ 63372 2847 29 practically practically RB 63372 2847 30 contradicted contradict VBN 63372 2847 31 as as RB 63372 2847 32 far far RB 63372 2847 33 as as IN 63372 2847 34 quantitative quantitative JJ 63372 2847 35 measures measure NNS 63372 2847 36 are be VBP 63372 2847 37 concerned.5 concerned.5 CD 63372 2847 38 As as IN 63372 2847 39 is be VBZ 63372 2847 40 well well RB 63372 2847 41 known know VBN 63372 2847 42 the the DT 63372 2847 43 kinetic kinetic JJ 63372 2847 44 energy energy NN 63372 2847 45 of of IN 63372 2847 46 a a DT 63372 2847 47 moving move VBG 63372 2847 48 body body NN 63372 2847 49 may may MD 63372 2847 50 be be VB 63372 2847 51 expressed express VBN 63372 2847 52 as as IN 63372 2847 53 $ $ $ 63372 2847 54 e e NN 63372 2847 55 = = SYM 63372 2847 56 1/2mv^2 1/2mv^2 NNP 63372 2847 57 $ $ $ 63372 2847 58 , , , 63372 2847 59 but but CC 63372 2847 60 if if IN 63372 2847 61 the the DT 63372 2847 62 body body NN 63372 2847 63 is be VBZ 63372 2847 64 charged charge VBN 63372 2847 65 electrically electrically RB 63372 2847 66 , , , 63372 2847 67 the the DT 63372 2847 68 fraction fraction NN 63372 2847 69 becomes become VBZ 63372 2847 70 $ $ $ 63372 2847 71 1/2(m 1/2(m CD 63372 2847 72 + + CD 63372 2847 73 m')v^2 m')v^2 NNS 63372 2847 74 $ $ $ 63372 2847 75 , , , 63372 2847 76 where where WRB 63372 2847 77 $ $ $ 63372 2847 78 m'$ m'$ NNP 63372 2847 79 is be VBZ 63372 2847 80 a a DT 63372 2847 81 quantity quantity NN 63372 2847 82 dependent dependent JJ 63372 2847 83 on on IN 63372 2847 84 the the DT 63372 2847 85 square square NN 63372 2847 86 of of IN 63372 2847 87 the the DT 63372 2847 88 electrical electrical JJ 63372 2847 89 charge charge NN 63372 2847 90 . . . 63372 2848 1 That that DT 63372 2848 2 is be VBZ 63372 2848 3 to to TO 63372 2848 4 say say VB 63372 2848 5 , , , 63372 2848 6 we -PRON- PRP 63372 2848 7 have have VBP 63372 2848 8 the the DT 63372 2848 9 normal normal JJ 63372 2848 10 mass mass NN 63372 2848 11 of of IN 63372 2848 12 the the DT 63372 2848 13 body body NN 63372 2848 14 , , , 63372 2848 15 and and CC 63372 2848 16 also also RB 63372 2848 17 what what WP 63372 2848 18 we -PRON- PRP 63372 2848 19 may may MD 63372 2848 20 call call VB 63372 2848 21 its -PRON- PRP$ 63372 2848 22 electrical electrical JJ 63372 2848 23 mass mass NN 63372 2848 24 . . . 63372 2849 1 If if IN 63372 2849 2 when when WRB 63372 2849 3 in in IN 63372 2849 4 this this DT 63372 2849 5 condition condition NN 63372 2849 6 a a DT 63372 2849 7 portion portion NN 63372 2849 8 of of IN 63372 2849 9 the the DT 63372 2849 10 mass mass NN 63372 2849 11 is be VBZ 63372 2849 12 electrical electrical JJ 63372 2849 13 , , , 63372 2849 14 the the DT 63372 2849 15 question question NN 63372 2849 16 at at IN 63372 2849 17 once once RB 63372 2849 18 occurs occur VBZ 63372 2849 19 to to IN 63372 2849 20 us -PRON- PRP 63372 2849 21 , , , 63372 2849 22 why why WRB 63372 2849 23 may may MD 63372 2849 24 not not RB 63372 2849 25 the the DT 63372 2849 26 whole whole JJ 63372 2849 27 mass mass NN 63372 2849 28 be be VB 63372 2849 29 electrical electrical JJ 63372 2849 30 , , , 63372 2849 31 in in IN 63372 2849 32 other other JJ 63372 2849 33 words word NNS 63372 2849 34 , , , 63372 2849 35 a a DT 63372 2849 36 form form NN 63372 2849 37 of of IN 63372 2849 38 energy energy NN 63372 2849 39 ? ? . 63372 2850 1 Although although IN 63372 2850 2 this this DT 63372 2850 3 has have VBZ 63372 2850 4 not not RB 63372 2850 5 been be VBN 63372 2850 6 satisfactorily satisfactorily RB 63372 2850 7 proved prove VBN 63372 2850 8 hitherto hitherto VBN 63372 2850 9 , , , 63372 2850 10 yet yet CC 63372 2850 11 such such JJ 63372 2850 12 is be VBZ 63372 2850 13 the the DT 63372 2850 14 general general JJ 63372 2850 15 belief belief NN 63372 2850 16 among among IN 63372 2850 17 physicists physicist NNS 63372 2850 18 . . . 63372 2851 1 As as IN 63372 2851 2 Einstein Einstein NNP 63372 2851 3 puts put VBZ 63372 2851 4 it -PRON- PRP 63372 2851 5 " " `` 63372 2851 6 inert inert JJ 63372 2851 7 mass mass NNP 63372 2851 8 is be VBZ 63372 2851 9 nothing nothing NN 63372 2851 10 else else RB 63372 2851 11 than than IN 63372 2851 12 latent latent JJ 63372 2851 13 energy energy NN 63372 2851 14 . . . 63372 2852 1 " " `` 63372 2852 2 1 1 CD 63372 2852 3 The the DT 63372 2852 4 same same JJ 63372 2852 5 idea idea NN 63372 2852 6 is be VBZ 63372 2852 7 sometimes sometimes RB 63372 2852 8 expressed express VBN 63372 2852 9 as as IN 63372 2852 10 " " `` 63372 2852 11 the the DT 63372 2852 12 mass mass NN 63372 2852 13 of of IN 63372 2852 14 ordinary ordinary JJ 63372 2852 15 matter matter NN 63372 2852 16 is be VBZ 63372 2852 17 due due JJ 63372 2852 18 to to IN 63372 2852 19 the the DT 63372 2852 20 electromagnetic electromagnetic JJ 63372 2852 21 energy energy NN 63372 2852 22 of of IN 63372 2852 23 its -PRON- PRP$ 63372 2852 24 ultimate ultimate JJ 63372 2852 25 particles particle NNS 63372 2852 26 , , , 63372 2852 27 and and CC 63372 2852 28 electromagnetic electromagnetic JJ 63372 2852 29 energy energy NN 63372 2852 30 wherever wherever WRB 63372 2852 31 found find VBN 63372 2852 32 must must MD 63372 2852 33 possess possess VB 63372 2852 34 mass mass NN 63372 2852 35 , , , 63372 2852 36 i.e. i.e. FW 63372 2852 37 , , , 63372 2852 38 inertia inertia NN 63372 2852 39 . . . 63372 2853 1 " " `` 63372 2853 2 6 6 CD 63372 2853 3 If if IN 63372 2853 4 that that DT 63372 2853 5 is be VBZ 63372 2853 6 so so RB 63372 2853 7 , , , 63372 2853 8 since since IN 63372 2853 9 a a DT 63372 2853 10 ray ray NN 63372 2853 11 of of IN 63372 2853 12 light light NN 63372 2853 13 on on IN 63372 2853 14 the the DT 63372 2853 15 undulatory undulatory JJ 63372 2853 16 theory theory NN 63372 2853 17 is be VBZ 63372 2853 18 a a DT 63372 2853 19 form form NN 63372 2853 20 of of IN 63372 2853 21 electromagnetic electromagnetic JJ 63372 2853 22 energy energy NN 63372 2853 23 , , , 63372 2853 24 it -PRON- PRP 63372 2853 25 too too RB 63372 2853 26 must must MD 63372 2853 27 possess possess VB 63372 2853 28 mass mass NN 63372 2853 29 . . . 63372 2854 1 Since since IN 63372 2854 2 all all DT 63372 2854 3 mass mass NN 63372 2854 4 with with IN 63372 2854 5 which which WDT 63372 2854 6 we -PRON- PRP 63372 2854 7 are be VBP 63372 2854 8 familiar familiar JJ 63372 2854 9 is be VBZ 63372 2854 10 subject subject JJ 63372 2854 11 to to IN 63372 2854 12 the the DT 63372 2854 13 attraction attraction NN 63372 2854 14 of of IN 63372 2854 15 gravitation gravitation NN 63372 2854 16 , , , 63372 2854 17 it -PRON- PRP 63372 2854 18 seemed seem VBD 63372 2854 19 likely likely JJ 63372 2854 20 that that IN 63372 2854 21 a a DT 63372 2854 22 ray ray NN 63372 2854 23 of of IN 63372 2854 24 light light NN 63372 2854 25 would would MD 63372 2854 26 be be VB 63372 2854 27 bent bend VBN 63372 2854 28 out out IN 63372 2854 29 of of IN 63372 2854 30 its -PRON- PRP$ 63372 2854 31 course course NN 63372 2854 32 in in IN 63372 2854 33 passing pass VBG 63372 2854 34 near near IN 63372 2854 35 the the DT 63372 2854 36 sun sun NN 63372 2854 37 , , , 63372 2854 38 and and CC 63372 2854 39 this this DT 63372 2854 40 as as IN 63372 2854 41 we -PRON- PRP 63372 2854 42 have have VBP 63372 2854 43 seen see VBN 63372 2854 44 was be VBD 63372 2854 45 proved prove VBN 63372 2854 46 to to TO 63372 2854 47 be be VB 63372 2854 48 true true JJ 63372 2854 49 at at IN 63372 2854 50 the the DT 63372 2854 51 recent recent JJ 63372 2854 52 solar solar JJ 63372 2854 53 eclipse eclipse NN 63372 2854 54 . . . 63372 2855 1 That that DT 63372 2855 2 portion portion NN 63372 2855 3 of of IN 63372 2855 4 the the DT 63372 2855 5 mass mass NN 63372 2855 6 of of IN 63372 2855 7 a a DT 63372 2855 8 body body NN 63372 2855 9 due due IN 63372 2855 10 to to IN 63372 2855 11 its -PRON- PRP$ 63372 2855 12 electrical electrical JJ 63372 2855 13 charge charge NN 63372 2855 14 can can MD 63372 2855 15 be be VB 63372 2855 16 readily readily RB 63372 2855 17 shown show VBN 63372 2855 18 experimentally experimentally RB 63372 2855 19 to to TO 63372 2855 20 vary vary VB 63372 2855 21 with with IN 63372 2855 22 the the DT 63372 2855 23 velocity velocity NN 63372 2855 24 of of IN 63372 2855 25 the the DT 63372 2855 26 body body NN 63372 2855 27 . . . 63372 2856 1 Einstein Einstein NNP 63372 2856 2 has have VBZ 63372 2856 3 shown show VBN 63372 2856 4 the the DT 63372 2856 5 same same JJ 63372 2856 6 to to TO 63372 2856 7 be be VB 63372 2856 8 true true JJ 63372 2856 9 of of IN 63372 2856 10 the the DT 63372 2856 11 normal normal JJ 63372 2856 12 mass mass NN 63372 2856 13 , , , 63372 2856 14 as as IN 63372 2856 15 is be VBZ 63372 2856 16 illustrated illustrate VBN 63372 2856 17 in in IN 63372 2856 18 the the DT 63372 2856 19 advance advance NN 63372 2856 20 of of IN 63372 2856 21 the the DT 63372 2856 22 perihelion perihelion NN 63372 2856 23 of of IN 63372 2856 24 the the DT 63372 2856 25 orbit orbit NN 63372 2856 26 of of IN 63372 2856 27 Mercury Mercury NNP 63372 2856 28 . . . 63372 2857 1 He -PRON- PRP 63372 2857 2 has have VBZ 63372 2857 3 also also RB 63372 2857 4 pointed point VBN 63372 2857 5 out out RP 63372 2857 6 that that IN 63372 2857 7 gravitation gravitation NN 63372 2857 8 , , , 63372 2857 9 inertia inertia NN 63372 2857 10 and and CC 63372 2857 11 centrifugal centrifugal JJ 63372 2857 12 force force NN 63372 2857 13 are be VBP 63372 2857 14 all all DT 63372 2857 15 closely closely RB 63372 2857 16 related related JJ 63372 2857 17 , , , 63372 2857 18 and and CC 63372 2857 19 obey obey VBP 63372 2857 20 similar similar JJ 63372 2857 21 laws law NNS 63372 2857 22 . . . 63372 2858 1 Thus thus RB 63372 2858 2 if if IN 63372 2858 3 we -PRON- PRP 63372 2858 4 rise rise VBP 63372 2858 5 from from IN 63372 2858 6 the the DT 63372 2858 7 earth earth NN 63372 2858 8 with with IN 63372 2858 9 accelerated accelerated JJ 63372 2858 10 velocity velocity NN 63372 2858 11 , , , 63372 2858 12 we -PRON- PRP 63372 2858 13 apparently apparently RB 63372 2858 14 increase increase VBP 63372 2858 15 our -PRON- PRP$ 63372 2858 16 weight weight NN 63372 2858 17 . . . 63372 2859 1 Again again RB 63372 2859 2 if if IN 63372 2859 3 the the DT 63372 2859 4 velocity velocity NN 63372 2859 5 of of IN 63372 2859 6 rotation rotation NN 63372 2859 7 of of IN 63372 2859 8 the the DT 63372 2859 9 earth earth NN 63372 2859 10 on on IN 63372 2859 11 its -PRON- PRP$ 63372 2859 12 axis axi NNS 63372 2859 13 should should MD 63372 2859 14 be be VB 63372 2859 15 increased increase VBN 63372 2859 16 , , , 63372 2859 17 our -PRON- PRP$ 63372 2859 18 weight weight NN 63372 2859 19 would would MD 63372 2859 20 be be VB 63372 2859 21 diminished diminish VBN 63372 2859 22 . . . 63372 2860 1 These these DT 63372 2860 2 facts fact NNS 63372 2860 3 are be VBP 63372 2860 4 suggestive suggestive JJ 63372 2860 5 when when WRB 63372 2860 6 we -PRON- PRP 63372 2860 7 come come VBP 63372 2860 8 to to TO 63372 2860 9 consider consider VB 63372 2860 10 the the DT 63372 2860 11 ultimate ultimate JJ 63372 2860 12 cause cause NN 63372 2860 13 of of IN 63372 2860 14 gravitation gravitation NN 63372 2860 15 . . . 63372 2861 1 Another another DT 63372 2861 2 fact fact NN 63372 2861 3 which which WDT 63372 2861 4 must must MD 63372 2861 5 be be VB 63372 2861 6 rather rather RB 63372 2861 7 startling startling JJ 63372 2861 8 to to IN 63372 2861 9 the the DT 63372 2861 10 older old JJR 63372 2861 11 school school NN 63372 2861 12 of of IN 63372 2861 13 scientists scientist NNS 63372 2861 14 is be VBZ 63372 2861 15 that that IN 63372 2861 16 momentum momentum NN 63372 2861 17 is be VBZ 63372 2861 18 no no RB 63372 2861 19 longer long RBR 63372 2861 20 simply simply RB 63372 2861 21 $ $ $ 63372 2861 22 mv$ mv$ CD 63372 2861 23 , , , 63372 2861 24 mass mass NN 63372 2861 25 times times NNP 63372 2861 26 velocity velocity NN 63372 2861 27 , , , 63372 2861 28 but but CC 63372 2861 29 that that IN 63372 2861 30 the the DT 63372 2861 31 velocity velocity NN 63372 2861 32 of of IN 63372 2861 33 light light JJ 63372 2861 34 $ $ $ 63372 2861 35 c$ c$ NNP 63372 2861 36 , , , 63372 2861 37 comes come VBZ 63372 2861 38 into into IN 63372 2861 39 the the DT 63372 2861 40 question question NN 63372 2861 41 , , , 63372 2861 42 and and CC 63372 2861 43 the the DT 63372 2861 44 formula formula NN 63372 2861 45 for for IN 63372 2861 46 momentum momentum NN 63372 2861 47 now now RB 63372 2861 48 assumes assume VBZ 63372 2861 49 the the DT 63372 2861 50 form form NN 63372 2861 51 of of IN 63372 2861 52 $ $ $ 63372 2861 53 $ $ $ 63372 2861 54 \frac{m \frac{m CD 63372 2861 55 v}{\sqrt{1 v}{\sqrt{1 NN 63372 2861 56 - - HYPH 63372 2861 57 \frac{v^2}{c^2}}}$$ \frac{v^2}{c^2}}}$$ NNP 63372 2861 58 For for IN 63372 2861 59 ordinary ordinary JJ 63372 2861 60 velocities velocity NNS 63372 2861 61 this this DT 63372 2861 62 correction correction NN 63372 2861 63 is be VBZ 63372 2861 64 extremely extremely RB 63372 2861 65 small small JJ 63372 2861 66 , , , 63372 2861 67 but but CC 63372 2861 68 it -PRON- PRP 63372 2861 69 has have VBZ 63372 2861 70 been be VBN 63372 2861 71 shown show VBN 63372 2861 72 to to TO 63372 2861 73 be be VB 63372 2861 74 necessary necessary JJ 63372 2861 75 , , , 63372 2861 76 both both DT 63372 2861 77 theoretically theoretically RB 63372 2861 78 and and CC 63372 2861 79 experimentally experimentally RB 63372 2861 80 , , , 63372 2861 81 when when WRB 63372 2861 82 dealing deal VBG 63372 2861 83 with with IN 63372 2861 84 the the DT 63372 2861 85 high high JJ 63372 2861 86 velocities velocity NNS 63372 2861 87 with with IN 63372 2861 88 which which WDT 63372 2861 89 we -PRON- PRP 63372 2861 90 are be VBP 63372 2861 91 now now RB 63372 2861 92 familiar familiar JJ 63372 2861 93 . . . 63372 2862 1 The the DT 63372 2862 2 theory theory NN 63372 2862 3 of of IN 63372 2862 4 relativity relativity NN 63372 2862 5 is be VBZ 63372 2862 6 so so RB 63372 2862 7 widespread widespread JJ 63372 2862 8 in in IN 63372 2862 9 its -PRON- PRP$ 63372 2862 10 application application NN 63372 2862 11 that that IN 63372 2862 12 several several JJ 63372 2862 13 other other JJ 63372 2862 14 theories theory NNS 63372 2862 15 have have VBP 63372 2862 16 become become VBN 63372 2862 17 more more RBR 63372 2862 18 or or CC 63372 2862 19 less less RBR 63372 2862 20 intimately intimately RB 63372 2862 21 combined combined JJ 63372 2862 22 with with IN 63372 2862 23 it -PRON- PRP 63372 2862 24 , , , 63372 2862 25 for for IN 63372 2862 26 which which WDT 63372 2862 27 Einstein Einstein NNP 63372 2862 28 is be VBZ 63372 2862 29 in in IN 63372 2862 30 no no DT 63372 2862 31 way way NN 63372 2862 32 responsible responsible JJ 63372 2862 33 . . . 63372 2863 1 One one CD 63372 2863 2 of of IN 63372 2863 3 these these DT 63372 2863 4 is be VBZ 63372 2863 5 known know VBN 63372 2863 6 as as IN 63372 2863 7 the the DT 63372 2863 8 Fitzgerald Fitzgerald NNP 63372 2863 9 - - HYPH 63372 2863 10 Lorentz Lorentz NNP 63372 2863 11 theory theory NN 63372 2863 12 , , , 63372 2863 13 that that IN 63372 2863 14 all all DT 63372 2863 15 bodies body NNS 63372 2863 16 are be VBP 63372 2863 17 subject subject JJ 63372 2863 18 to to IN 63372 2863 19 a a DT 63372 2863 20 contraction contraction NN 63372 2863 21 in in IN 63372 2863 22 the the DT 63372 2863 23 direction direction NN 63372 2863 24 of of IN 63372 2863 25 their -PRON- PRP$ 63372 2863 26 motions motion NNS 63372 2863 27 through through IN 63372 2863 28 space space NN 63372 2863 29 . . . 63372 2864 1 This this DT 63372 2864 2 was be VBD 63372 2864 3 first first RB 63372 2864 4 suggested suggest VBN 63372 2864 5 in in IN 63372 2864 6 order order NN 63372 2864 7 to to TO 63372 2864 8 explain explain VB 63372 2864 9 the the DT 63372 2864 10 Michelson Michelson NNP 63372 2864 11 - - HYPH 63372 2864 12 Morley Morley NNP 63372 2864 13 experiment experiment NN 63372 2864 14 , , , 63372 2864 15 but but CC 63372 2864 16 has have VBZ 63372 2864 17 proved prove VBN 63372 2864 18 inadequate inadequate JJ 63372 2864 19 to to TO 63372 2864 20 do do VB 63372 2864 21 so so RB 63372 2864 22 , , , 63372 2864 23 particularly particularly RB 63372 2864 24 when when WRB 63372 2864 25 the the DT 63372 2864 26 observer observer NN 63372 2864 27 is be VBZ 63372 2864 28 receding recede VBG 63372 2864 29 from from IN 63372 2864 30 the the DT 63372 2864 31 source source NN 63372 2864 32 . . . 63372 2865 1 This this DT 63372 2865 2 contraction contraction NN 63372 2865 3 is be VBZ 63372 2865 4 expressed express VBN 63372 2865 5 by by IN 63372 2865 6 the the DT 63372 2865 7 same same JJ 63372 2865 8 factor factor NN 63372 2865 9 used use VBN 63372 2865 10 in in IN 63372 2865 11 the the DT 63372 2865 12 denominator denominator NN 63372 2865 13 of of IN 63372 2865 14 the the DT 63372 2865 15 revised revise VBN 63372 2865 16 expression expression NN 63372 2865 17 for for IN 63372 2865 18 momentum momentum NN 63372 2865 19 , , , 63372 2865 20 given give VBN 63372 2865 21 above above RB 63372 2865 22 . . . 63372 2866 1 Again again RB 63372 2866 2 the the DT 63372 2866 3 quantity quantity NN 63372 2866 4 $ $ $ 63372 2866 5 c$ c$ NNP 63372 2866 6 is be VBZ 63372 2866 7 so so RB 63372 2866 8 enormous enormous JJ 63372 2866 9 , , , 63372 2866 10 that that IN 63372 2866 11 even even RB 63372 2866 12 for for IN 63372 2866 13 large large JJ 63372 2866 14 bodies body NNS 63372 2866 15 at at IN 63372 2866 16 planetary planetary NN 63372 2866 17 velocities velocitie VBZ 63372 2866 18 the the DT 63372 2866 19 contraction contraction NN 63372 2866 20 amounts amount VBZ 63372 2866 21 to to IN 63372 2866 22 very very RB 63372 2866 23 little little JJ 63372 2866 24 . . . 63372 2867 1 Thus thus RB 63372 2867 2 the the DT 63372 2867 3 earth earth NN 63372 2867 4 moving move VBG 63372 2867 5 at at IN 63372 2867 6 a a DT 63372 2867 7 speed speed NN 63372 2867 8 of of IN 63372 2867 9 eighteen eighteen CD 63372 2867 10 miles mile NNS 63372 2867 11 per per IN 63372 2867 12 second second NN 63372 2867 13 in in IN 63372 2867 14 its -PRON- PRP$ 63372 2867 15 orbit orbit NN 63372 2867 16 , , , 63372 2867 17 is be VBZ 63372 2867 18 flattened flatten VBN 63372 2867 19 only only RB 63372 2867 20 1/200,000,000 1/200,000,000 NNP 63372 2867 21 , , , 63372 2867 22 or or CC 63372 2867 23 2.5 2.5 CD 63372 2867 24 inches inch NNS 63372 2867 25 . . . 63372 2868 1 On on IN 63372 2868 2 the the DT 63372 2868 3 other other JJ 63372 2868 4 hand hand NN 63372 2868 5 for for IN 63372 2868 6 high high JJ 63372 2868 7 velocities velocity NNS 63372 2868 8 of of IN 63372 2868 9 many many JJ 63372 2868 10 thousand thousand CD 63372 2868 11 miles mile NNS 63372 2868 12 per per IN 63372 2868 13 second second JJ 63372 2868 14 , , , 63372 2868 15 such such JJ 63372 2868 16 as as IN 63372 2868 17 we -PRON- PRP 63372 2868 18 have have VBP 63372 2868 19 become become VBN 63372 2868 20 familiar familiar JJ 63372 2868 21 with with IN 63372 2868 22 in in IN 63372 2868 23 the the DT 63372 2868 24 case case NN 63372 2868 25 of of IN 63372 2868 26 the the DT 63372 2868 27 radioactive radioactive JJ 63372 2868 28 substances substance NNS 63372 2868 29 , , , 63372 2868 30 the the DT 63372 2868 31 flattening flattening NN 63372 2868 32 is be VBZ 63372 2868 33 a a DT 63372 2868 34 very very RB 63372 2868 35 considerable considerable JJ 63372 2868 36 fraction fraction NN 63372 2868 37 of of IN 63372 2868 38 the the DT 63372 2868 39 diameter diameter NN 63372 2868 40 of of IN 63372 2868 41 the the DT 63372 2868 42 moving move VBG 63372 2868 43 body body NN 63372 2868 44 , , , 63372 2868 45 one one CD 63372 2868 46 - - HYPH 63372 2868 47 half half NN 63372 2868 48 or or CC 63372 2868 49 more more JJR 63372 2868 50 , , , 63372 2868 51 and and CC 63372 2868 52 in in IN 63372 2868 53 the the DT 63372 2868 54 case case NN 63372 2868 55 of of IN 63372 2868 56 the the DT 63372 2868 57 corpuscles corpuscle NNS 63372 2868 58 of of IN 63372 2868 59 light light NN 63372 2868 60 , , , 63372 2868 61 if if IN 63372 2868 62 that that DT 63372 2868 63 theory theory NN 63372 2868 64 were be VBD 63372 2868 65 adopted adopt VBN 63372 2868 66 , , , 63372 2868 67 this this DT 63372 2868 68 flattening flattening NN 63372 2868 69 becomes become VBZ 63372 2868 70 equal equal JJ 63372 2868 71 to to IN 63372 2868 72 the the DT 63372 2868 73 diameter diameter NN 63372 2868 74 , , , 63372 2868 75 and and CC 63372 2868 76 their -PRON- PRP$ 63372 2868 77 thickness thickness NN 63372 2868 78 is be VBZ 63372 2868 79 reduced reduce VBN 63372 2868 80 to to IN 63372 2868 81 zero zero CD 63372 2868 82 . . . 63372 2869 1 When when WRB 63372 2869 2 we -PRON- PRP 63372 2869 3 view view VBP 63372 2869 4 Einstein Einstein NNP 63372 2869 5 's 's POS 63372 2869 6 theories theory NNS 63372 2869 7 from from IN 63372 2869 8 the the DT 63372 2869 9 astronomical astronomical JJ 63372 2869 10 standpoint standpoint NN 63372 2869 11 , , , 63372 2869 12 the the DT 63372 2869 13 earliest early JJS 63372 2869 14 fact fact NN 63372 2869 15 bearing bear VBG 63372 2869 16 on on IN 63372 2869 17 relativity relativity NN 63372 2869 18 that that WDT 63372 2869 19 we -PRON- PRP 63372 2869 20 need need VBP 63372 2869 21 consider consider VB 63372 2869 22 was be VBD 63372 2869 23 the the DT 63372 2869 24 discovery discovery NN 63372 2869 25 of of IN 63372 2869 26 aberration aberration NN 63372 2869 27 , , , 63372 2869 28 by by IN 63372 2869 29 Bradley Bradley NNP 63372 2869 30 , , , 63372 2869 31 in in IN 63372 2869 32 1726 1726 CD 63372 2869 33 , , , 63372 2869 34 as as IN 63372 2869 35 seen see VBN 63372 2869 36 above above RB 63372 2869 37 . . . 63372 2870 1 In in IN 63372 2870 2 1872 1872 CD 63372 2870 3 Airy Airy NNP 63372 2870 4 observed observe VBD 63372 2870 5 the the DT 63372 2870 6 star star NN 63372 2870 7 g g NNP 63372 2870 8 Draconis Draconis NNP 63372 2870 9 through through IN 63372 2870 10 a a DT 63372 2870 11 telescope telescope NN 63372 2870 12 filled fill VBN 63372 2870 13 with with IN 63372 2870 14 water water NN 63372 2870 15 . . . 63372 2871 1 Since since IN 63372 2871 2 the the DT 63372 2871 3 velocity velocity NN 63372 2871 4 of of IN 63372 2871 5 light light NN 63372 2871 6 is be VBZ 63372 2871 7 less less JJR 63372 2871 8 in in IN 63372 2871 9 water water NN 63372 2871 10 than than IN 63372 2871 11 in in IN 63372 2871 12 air air NN 63372 2871 13 , , , 63372 2871 14 we -PRON- PRP 63372 2871 15 should should MD 63372 2871 16 naturally naturally RB 63372 2871 17 expect expect VB 63372 2871 18 to to TO 63372 2871 19 find find VB 63372 2871 20 the the DT 63372 2871 21 aberration aberration NN 63372 2871 22 appreciably appreciably RB 63372 2871 23 increased increase VBD 63372 2871 24 . . . 63372 2872 1 It -PRON- PRP 63372 2872 2 was be VBD 63372 2872 3 found find VBN 63372 2872 4 , , , 63372 2872 5 on on IN 63372 2872 6 the the DT 63372 2872 7 other other JJ 63372 2872 8 hand hand NN 63372 2872 9 , , , 63372 2872 10 however however RB 63372 2872 11 , , , 63372 2872 12 to to TO 63372 2872 13 be be VB 63372 2872 14 unaffected unaffected JJ 63372 2872 15 . . . 63372 2873 1 In in IN 63372 2873 2 1887 1887 CD 63372 2873 3 the the DT 63372 2873 4 results result NNS 63372 2873 5 of of IN 63372 2873 6 the the DT 63372 2873 7 famous famous JJ 63372 2873 8 Michelson Michelson NNP 63372 2873 9 - - HYPH 63372 2873 10 Morley Morley NNP 63372 2873 11 experiment experiment NN 63372 2873 12 were be VBD 63372 2873 13 published.7 published.7 JJ 63372 2873 14 In in IN 63372 2873 15 this this DT 63372 2873 16 experiment experiment NN 63372 2873 17 the the DT 63372 2873 18 velocity velocity NN 63372 2873 19 of of IN 63372 2873 20 light light NN 63372 2873 21 was be VBD 63372 2873 22 measured measure VBN 63372 2873 23 in in IN 63372 2873 24 various various JJ 63372 2873 25 directions direction NNS 63372 2873 26 with with IN 63372 2873 27 regard regard NN 63372 2873 28 to to IN 63372 2873 29 the the DT 63372 2873 30 motion motion NN 63372 2873 31 of of IN 63372 2873 32 the the DT 63372 2873 33 earth earth NN 63372 2873 34 in in IN 63372 2873 35 its -PRON- PRP$ 63372 2873 36 orbit orbit NN 63372 2873 37 . . . 63372 2874 1 If if IN 63372 2874 2 the the DT 63372 2874 3 ether ether NN 63372 2874 4 were be VBD 63372 2874 5 stationary stationary JJ 63372 2874 6 , , , 63372 2874 7 and and CC 63372 2874 8 the the DT 63372 2874 9 earth earth NN 63372 2874 10 moving move VBG 63372 2874 11 through through IN 63372 2874 12 it -PRON- PRP 63372 2874 13 , , , 63372 2874 14 different different JJ 63372 2874 15 velocities velocity NNS 63372 2874 16 should should MD 63372 2874 17 be be VB 63372 2874 18 obtained obtain VBN 63372 2874 19 in in IN 63372 2874 20 different different JJ 63372 2874 21 directions direction NNS 63372 2874 22 . . . 63372 2875 1 Such such JJ 63372 2875 2 was be VBD 63372 2875 3 not not RB 63372 2875 4 the the DT 63372 2875 5 case case NN 63372 2875 6 however however RB 63372 2875 7 , , , 63372 2875 8 and and CC 63372 2875 9 the the DT 63372 2875 10 experiment experiment NN 63372 2875 11 indicated indicate VBD 63372 2875 12 that that IN 63372 2875 13 the the DT 63372 2875 14 ether ether NN 63372 2875 15 moved move VBD 63372 2875 16 with with IN 63372 2875 17 the the DT 63372 2875 18 earth earth NN 63372 2875 19 . . . 63372 2876 1 It -PRON- PRP 63372 2876 2 thus thus RB 63372 2876 3 flatly flatly RB 63372 2876 4 contradicted contradict VBD 63372 2876 5 the the DT 63372 2876 6 conclusions conclusion NNS 63372 2876 7 founded found VBN 63372 2876 8 on on IN 63372 2876 9 aberration aberration NN 63372 2876 10 . . . 63372 2877 1 Einstein Einstein NNP 63372 2877 2 's 's POS 63372 2877 3 Special Special NNP 63372 2877 4 Theory Theory NNP 63372 2877 5 of of IN 63372 2877 6 Relativity Relativity NNP 63372 2877 7 , , , 63372 2877 8 of of IN 63372 2877 9 1905 1905 CD 63372 2877 10 , , , 63372 2877 11 as as IN 63372 2877 12 we -PRON- PRP 63372 2877 13 have have VBP 63372 2877 14 seen see VBN 63372 2877 15 , , , 63372 2877 16 resolves resolve NNS 63372 2877 17 this this DT 63372 2877 18 contradiction contradiction NN 63372 2877 19 . . . 63372 2878 1 But but CC 63372 2878 2 as as IN 63372 2878 3 we -PRON- PRP 63372 2878 4 shall shall MD 63372 2878 5 presently presently RB 63372 2878 6 see see VB 63372 2878 7 , , , 63372 2878 8 it -PRON- PRP 63372 2878 9 is be VBZ 63372 2878 10 the the DT 63372 2878 11 General General NNP 63372 2878 12 Theory Theory NNP 63372 2878 13 , , , 63372 2878 14 of of IN 63372 2878 15 1915 1915 CD 63372 2878 16 , , , 63372 2878 17 that that WDT 63372 2878 18 leads lead VBZ 63372 2878 19 to to IN 63372 2878 20 astronomical astronomical JJ 63372 2878 21 applications application NNS 63372 2878 22 of of IN 63372 2878 23 broad broad JJ 63372 2878 24 scope scope NN 63372 2878 25 . . . 63372 2879 1 It -PRON- PRP 63372 2879 2 indicates indicate VBZ 63372 2879 3 , , , 63372 2879 4 for for IN 63372 2879 5 instance instance NN 63372 2879 6 , , , 63372 2879 7 that that IN 63372 2879 8 there there EX 63372 2879 9 is be VBZ 63372 2879 10 no no DT 63372 2879 11 essential essential JJ 63372 2879 12 difference difference NN 63372 2879 13 between between IN 63372 2879 14 gravitation gravitation NN 63372 2879 15 and and CC 63372 2879 16 inertia inertia NN 63372 2879 17 . . . 63372 2880 1 This this DT 63372 2880 2 idea idea NN 63372 2880 3 may may MD 63372 2880 4 be be VB 63372 2880 5 crudely crudely RB 63372 2880 6 illustrated illustrate VBN 63372 2880 7 by by IN 63372 2880 8 our -PRON- PRP$ 63372 2880 9 feelings feeling NNS 63372 2880 10 of of IN 63372 2880 11 increased increase VBN 63372 2880 12 weight weight NN 63372 2880 13 when when WRB 63372 2880 14 an an DT 63372 2880 15 elevator elevator NN 63372 2880 16 starts start VBZ 63372 2880 17 rapidly rapidly RB 63372 2880 18 upwards upwards RB 63372 2880 19 . . . 63372 2881 1 A a DT 63372 2881 2 man man NN 63372 2881 3 while while IN 63372 2881 4 falling fall VBG 63372 2881 5 freely freely RB 63372 2881 6 in in IN 63372 2881 7 space space NN 63372 2881 8 ceases cease NNS 63372 2881 9 to to TO 63372 2881 10 feel feel VB 63372 2881 11 the the DT 63372 2881 12 pull pull NN 63372 2881 13 of of IN 63372 2881 14 gravitation gravitation NN 63372 2881 15 . . . 63372 2882 1 But but CC 63372 2882 2 we -PRON- PRP 63372 2882 3 must must MD 63372 2882 4 not not RB 63372 2882 5 as as RB 63372 2882 6 yet yet RB 63372 2882 7 conceive conceive JJ 63372 2882 8 of of IN 63372 2882 9 the the DT 63372 2882 10 theory theory NN 63372 2882 11 of of IN 63372 2882 12 relativity relativity NN 63372 2882 13 as as IN 63372 2882 14 a a DT 63372 2882 15 universally universally RB 63372 2882 16 accepted accept VBN 63372 2882 17 and and CC 63372 2882 18 unquestioned unquestioned JJ 63372 2882 19 truth truth NN 63372 2882 20 of of IN 63372 2882 21 science science NN 63372 2882 22 . . . 63372 2883 1 Eddington Eddington NNP 63372 2883 2 is be VBZ 63372 2883 3 its -PRON- PRP$ 63372 2883 4 leading lead VBG 63372 2883 5 English english JJ 63372 2883 6 exponent exponent NN 63372 2883 7 , , , 63372 2883 8 and and CC 63372 2883 9 he -PRON- PRP 63372 2883 10 is be VBZ 63372 2883 11 supported support VBN 63372 2883 12 by by IN 63372 2883 13 such such JJ 63372 2883 14 men man NNS 63372 2883 15 as as IN 63372 2883 16 Jeans Jeans NNPS 63372 2883 17 , , , 63372 2883 18 Larmor Larmor NNP 63372 2883 19 , , , 63372 2883 20 and and CC 63372 2883 21 Jeffreys Jeffreys NNP 63372 2883 22 . . . 63372 2884 1 On on IN 63372 2884 2 the the DT 63372 2884 3 other other JJ 63372 2884 4 hand hand NN 63372 2884 5 , , , 63372 2884 6 the the DT 63372 2884 7 theory theory NN 63372 2884 8 has have VBZ 63372 2884 9 been be VBN 63372 2884 10 severely severely RB 63372 2884 11 criticised criticise VBN 63372 2884 12 by by IN 63372 2884 13 Lodge Lodge NNP 63372 2884 14 , , , 63372 2884 15 Fowler Fowler NNP 63372 2884 16 , , , 63372 2884 17 Silberstein Silberstein NNP 63372 2884 18 , , , 63372 2884 19 and and CC 63372 2884 20 Sampson Sampson NNP 63372 2884 21 . . . 63372 2885 1 Few few JJ 63372 2885 2 American american JJ 63372 2885 3 scientists scientist NNS 63372 2885 4 have have VBP 63372 2885 5 expressed express VBN 63372 2885 6 any any DT 63372 2885 7 opinions opinion NNS 63372 2885 8 in in IN 63372 2885 9 print print NN 63372 2885 10 on on IN 63372 2885 11 the the DT 63372 2885 12 subject subject NN 63372 2885 13 , , , 63372 2885 14 and and CC 63372 2885 15 the the DT 63372 2885 16 recent recent JJ 63372 2885 17 eclipse eclipse NN 63372 2885 18 observations observation NNS 63372 2885 19 , , , 63372 2885 20 to to TO 63372 2885 21 which which WDT 63372 2885 22 we -PRON- PRP 63372 2885 23 shall shall MD 63372 2885 24 refer refer VB 63372 2885 25 later later RB 63372 2885 26 , , , 63372 2885 27 are be VBP 63372 2885 28 to to TO 63372 2885 29 be be VB 63372 2885 30 repeated repeat VBN 63372 2885 31 with with IN 63372 2885 32 more more JJR 63372 2885 33 suitable suitable JJ 63372 2885 34 instruments instrument NNS 63372 2885 35 for for IN 63372 2885 36 verification verification NN 63372 2885 37 in in IN 63372 2885 38 1922 1922 CD 63372 2885 39 , , , 63372 2885 40 in in IN 63372 2885 41 the the DT 63372 2885 42 hope hope NN 63372 2885 43 of of IN 63372 2885 44 obtaining obtain VBG 63372 2885 45 more more RBR 63372 2885 46 accurate accurate JJ 63372 2885 47 and and CC 63372 2885 48 accordant accordant JJ 63372 2885 49 results.8 results.8 NNP 63372 2885 50 An an DT 63372 2885 51 appurtenance appurtenance NN 63372 2885 52 of of IN 63372 2885 53 the the DT 63372 2885 54 Einstein Einstein NNP 63372 2885 55 theories theory NNS 63372 2885 56 which which WDT 63372 2885 57 bears bear VBZ 63372 2885 58 much much RB 63372 2885 59 the the DT 63372 2885 60 same same JJ 63372 2885 61 relation relation NN 63372 2885 62 to to IN 63372 2885 63 them -PRON- PRP 63372 2885 64 as as IN 63372 2885 65 does do VBZ 63372 2885 66 the the DT 63372 2885 67 Lorentz Lorentz NNP 63372 2885 68 - - HYPH 63372 2885 69 Fitzgerald Fitzgerald NNP 63372 2885 70 contraction contraction NN 63372 2885 71 , , , 63372 2885 72 mentioned mention VBN 63372 2885 73 above above RB 63372 2885 74 , , , 63372 2885 75 is be VBZ 63372 2885 76 the the DT 63372 2885 77 idea idea NN 63372 2885 78 , , , 63372 2885 79 first first RB 63372 2885 80 clearly clearly RB 63372 2885 81 stated state VBN 63372 2885 82 by by IN 63372 2885 83 Minkowski Minkowski NNP 63372 2885 84 , , , 63372 2885 85 that that DT 63372 2885 86 time time NN 63372 2885 87 is be VBZ 63372 2885 88 a a DT 63372 2885 89 kind kind NN 63372 2885 90 of of IN 63372 2885 91 space space NN 63372 2885 92 -- -- : 63372 2885 93 a a DT 63372 2885 94 fourth fourth JJ 63372 2885 95 dimension dimension NN 63372 2885 96 . . . 63372 2886 1 This this DT 63372 2886 2 the the DT 63372 2886 3 reader reader NN 63372 2886 4 will will MD 63372 2886 5 doubtless doubtless RB 63372 2886 6 find find VB 63372 2886 7 to to TO 63372 2886 8 be be VB 63372 2886 9 the the DT 63372 2886 10 most most RBS 63372 2886 11 difficult difficult JJ 63372 2886 12 portion portion NN 63372 2886 13 of of IN 63372 2886 14 the the DT 63372 2886 15 theory theory NN 63372 2886 16 to to TO 63372 2886 17 picture picture VB 63372 2886 18 in in IN 63372 2886 19 his -PRON- PRP$ 63372 2886 20 own own JJ 63372 2886 21 mind mind NN 63372 2886 22 . . . 63372 2887 1 It -PRON- PRP 63372 2887 2 is be VBZ 63372 2887 3 entirely entirely RB 63372 2887 4 unsupported unsupporte VBN 63372 2887 5 by by IN 63372 2887 6 experiment experiment NN 63372 2887 7 or or CC 63372 2887 8 observation observation NN 63372 2887 9 , , , 63372 2887 10 necessarily necessarily RB 63372 2887 11 so so RB 63372 2887 12 , , , 63372 2887 13 and and CC 63372 2887 14 is be VBZ 63372 2887 15 based base VBN 63372 2887 16 wholly wholly RB 63372 2887 17 on on IN 63372 2887 18 mathematical mathematical JJ 63372 2887 19 and and CC 63372 2887 20 philosophical philosophical JJ 63372 2887 21 conceptions conception NNS 63372 2887 22 . . . 63372 2888 1 Our -PRON- PRP$ 63372 2888 2 distinction distinction NN 63372 2888 3 between between IN 63372 2888 4 space space NN 63372 2888 5 and and CC 63372 2888 6 time time NN 63372 2888 7 seems seem VBZ 63372 2888 8 to to TO 63372 2888 9 be be VB 63372 2888 10 that that IN 63372 2888 11 the the DT 63372 2888 12 direction direction NN 63372 2888 13 in in IN 63372 2888 14 which which WDT 63372 2888 15 we -PRON- PRP 63372 2888 16 progress progress VBP 63372 2888 17 without without IN 63372 2888 18 effort effort NN 63372 2888 19 is be VBZ 63372 2888 20 time time NN 63372 2888 21 ; ; : 63372 2888 22 the the DT 63372 2888 23 other other JJ 63372 2888 24 directions direction NNS 63372 2888 25 , , , 63372 2888 26 in in IN 63372 2888 27 which which WDT 63372 2888 28 we -PRON- PRP 63372 2888 29 have have VBP 63372 2888 30 to to TO 63372 2888 31 make make VB 63372 2888 32 an an DT 63372 2888 33 exertion exertion NN 63372 2888 34 to to TO 63372 2888 35 move move VB 63372 2888 36 ourselves -PRON- PRP 63372 2888 37 , , , 63372 2888 38 or or CC 63372 2888 39 in in IN 63372 2888 40 which which WDT 63372 2888 41 we -PRON- PRP 63372 2888 42 are be VBP 63372 2888 43 carried carry VBN 63372 2888 44 , , , 63372 2888 45 are be VBP 63372 2888 46 space space NN 63372 2888 47 . . . 63372 2889 1 How how WRB 63372 2889 2 many many JJ 63372 2889 3 dimensions dimension NNS 63372 2889 4 empty empty JJ 63372 2889 5 space space NN 63372 2889 6 may may MD 63372 2889 7 have have VB 63372 2889 8 , , , 63372 2889 9 we -PRON- PRP 63372 2889 10 really really RB 63372 2889 11 have have VBP 63372 2889 12 no no DT 63372 2889 13 means means NN 63372 2889 14 of of IN 63372 2889 15 knowing know VBG 63372 2889 16 , , , 63372 2889 17 because because IN 63372 2889 18 we -PRON- PRP 63372 2889 19 can can MD 63372 2889 20 neither neither CC 63372 2889 21 see see VB 63372 2889 22 nor nor CC 63372 2889 23 feel feel VB 63372 2889 24 it -PRON- PRP 63372 2889 25 . . . 63372 2890 1 Matter Matter NNP 63372 2890 2 we -PRON- PRP 63372 2890 3 know know VBP 63372 2890 4 has have VBZ 63372 2890 5 three three CD 63372 2890 6 , , , 63372 2890 7 length length NN 63372 2890 8 , , , 63372 2890 9 breadth breadth NN 63372 2890 10 , , , 63372 2890 11 and and CC 63372 2890 12 thickness thickness NN 63372 2890 13 , , , 63372 2890 14 also also RB 63372 2890 15 that that IN 63372 2890 16 it -PRON- PRP 63372 2890 17 lies lie VBZ 63372 2890 18 remote remote JJ 63372 2890 19 from from IN 63372 2890 20 us -PRON- PRP 63372 2890 21 in in IN 63372 2890 22 three three CD 63372 2890 23 corresponding corresponding JJ 63372 2890 24 directions direction NNS 63372 2890 25 . . . 63372 2891 1 These these DT 63372 2891 2 facts fact NNS 63372 2891 3 may may MD 63372 2891 4 have have VB 63372 2891 5 given give VBN 63372 2891 6 us -PRON- PRP 63372 2891 7 the the DT 63372 2891 8 erroneous erroneous JJ 63372 2891 9 impression impression NN 63372 2891 10 that that IN 63372 2891 11 space space NN 63372 2891 12 too too RB 63372 2891 13 has have VBZ 63372 2891 14 only only RB 63372 2891 15 three three CD 63372 2891 16 dimensions dimension NNS 63372 2891 17 . . . 63372 2892 1 Now now RB 63372 2892 2 it -PRON- PRP 63372 2892 3 is be VBZ 63372 2892 4 claimed claim VBN 63372 2892 5 that that IN 63372 2892 6 time time NN 63372 2892 7 is be VBZ 63372 2892 8 a a DT 63372 2892 9 fourth fourth JJ 63372 2892 10 , , , 63372 2892 11 and and CC 63372 2892 12 that that IN 63372 2892 13 there there EX 63372 2892 14 are be VBP 63372 2892 15 also also RB 63372 2892 16 others other NNS 63372 2892 17 . . . 63372 2893 1 In in IN 63372 2893 2 order order NN 63372 2893 3 to to TO 63372 2893 4 illustrate illustrate VB 63372 2893 5 this this DT 63372 2893 6 , , , 63372 2893 7 Eddington Eddington NNP 63372 2893 8 asks ask VBZ 63372 2893 9 us -PRON- PRP 63372 2893 10 to to TO 63372 2893 11 imagine imagine VB 63372 2893 12 a a DT 63372 2893 13 movie movie NN 63372 2893 14 film film NN 63372 2893 15 taken take VBN 63372 2893 16 of of IN 63372 2893 17 a a DT 63372 2893 18 man man NN 63372 2893 19 or or CC 63372 2893 20 of of IN 63372 2893 21 any any DT 63372 2893 22 moving move VBG 63372 2893 23 object object NN 63372 2893 24 . . . 63372 2894 1 Let let VB 63372 2894 2 the the DT 63372 2894 3 separate separate JJ 63372 2894 4 pictures picture NNS 63372 2894 5 be be VB 63372 2894 6 cut cut VBN 63372 2894 7 apart apart RB 63372 2894 8 and and CC 63372 2894 9 piled pile VBN 63372 2894 10 on on RP 63372 2894 11 one one CD 63372 2894 12 another another DT 63372 2894 13 . . . 63372 2895 1 This this DT 63372 2895 2 would would MD 63372 2895 3 form form VB 63372 2895 4 a a DT 63372 2895 5 sort sort NN 63372 2895 6 of of IN 63372 2895 7 pictorial pictorial JJ 63372 2895 8 history history NN 63372 2895 9 of of IN 63372 2895 10 the the DT 63372 2895 11 individual individual NN 63372 2895 12 for for IN 63372 2895 13 a a DT 63372 2895 14 brief brief JJ 63372 2895 15 interval interval NN 63372 2895 16 in in IN 63372 2895 17 his -PRON- PRP$ 63372 2895 18 life life NN 63372 2895 19 , , , 63372 2895 20 in in IN 63372 2895 21 the the DT 63372 2895 22 form form NN 63372 2895 23 of of IN 63372 2895 24 a a DT 63372 2895 25 cube cube NN 63372 2895 26 . . . 63372 2896 1 If if IN 63372 2896 2 we -PRON- PRP 63372 2896 3 attempt attempt VBP 63372 2896 4 to to TO 63372 2896 5 pick pick VB 63372 2896 6 it -PRON- PRP 63372 2896 7 up up RP 63372 2896 8 , , , 63372 2896 9 it -PRON- PRP 63372 2896 10 falls fall VBZ 63372 2896 11 apart apart RB 63372 2896 12 , , , 63372 2896 13 thus thus RB 63372 2896 14 clearly clearly RB 63372 2896 15 showing show VBG 63372 2896 16 the the DT 63372 2896 17 difference difference NN 63372 2896 18 between between IN 63372 2896 19 time time NN 63372 2896 20 and and CC 63372 2896 21 space space NN 63372 2896 22 . . . 63372 2897 1 But but CC 63372 2897 2 suppose suppose VB 63372 2897 3 it -PRON- PRP 63372 2897 4 now now RB 63372 2897 5 all all DT 63372 2897 6 glued glue VBD 63372 2897 7 together together RB 63372 2897 8 in in IN 63372 2897 9 one one CD 63372 2897 10 solid solid JJ 63372 2897 11 cube cube NN 63372 2897 12 , , , 63372 2897 13 so so IN 63372 2897 14 that that IN 63372 2897 15 it -PRON- PRP 63372 2897 16 is be VBZ 63372 2897 17 no no RB 63372 2897 18 easier easy JJR 63372 2897 19 to to TO 63372 2897 20 cut cut VB 63372 2897 21 a a DT 63372 2897 22 section section NN 63372 2897 23 in in IN 63372 2897 24 one one CD 63372 2897 25 direction direction NN 63372 2897 26 than than IN 63372 2897 27 in in IN 63372 2897 28 another another DT 63372 2897 29 . . . 63372 2898 1 That that DT 63372 2898 2 is be VBZ 63372 2898 3 Minkowski Minkowski NNP 63372 2898 4 's 's POS 63372 2898 5 idea idea NN 63372 2898 6 of of IN 63372 2898 7 space space NN 63372 2898 8 and and CC 63372 2898 9 time time NN 63372 2898 10 , , , 63372 2898 11 and and CC 63372 2898 12 further far RBR 63372 2898 13 , , , 63372 2898 14 that that IN 63372 2898 15 the the DT 63372 2898 16 direction direction NN 63372 2898 17 in in IN 63372 2898 18 which which WDT 63372 2898 19 we -PRON- PRP 63372 2898 20 should should MD 63372 2898 21 cut cut VB 63372 2898 22 it -PRON- PRP 63372 2898 23 depends depend VBZ 63372 2898 24 merely merely RB 63372 2898 25 on on IN 63372 2898 26 the the DT 63372 2898 27 velocity velocity NN 63372 2898 28 with with IN 63372 2898 29 which which WDT 63372 2898 30 we -PRON- PRP 63372 2898 31 are be VBP 63372 2898 32 moving move VBG 63372 2898 33 through through IN 63372 2898 34 space space NN 63372 2898 35 . . . 63372 2899 1 I -PRON- PRP 63372 2899 2 should should MD 63372 2899 3 cut cut VB 63372 2899 4 it -PRON- PRP 63372 2899 5 parallel parallel JJ 63372 2899 6 to to IN 63372 2899 7 the the DT 63372 2899 8 films film NNS 63372 2899 9 , , , 63372 2899 10 but but CC 63372 2899 11 a a DT 63372 2899 12 man man NN 63372 2899 13 on on IN 63372 2899 14 a a DT 63372 2899 15 rapidly rapidly RB 63372 2899 16 moving move VBG 63372 2899 17 star star NN 63372 2899 18 , , , 63372 2899 19 in in IN 63372 2899 20 order order NN 63372 2899 21 to to TO 63372 2899 22 separate separate VB 63372 2899 23 it -PRON- PRP 63372 2899 24 into into IN 63372 2899 25 space space NN 63372 2899 26 and and CC 63372 2899 27 time time NN 63372 2899 28 , , , 63372 2899 29 would would MD 63372 2899 30 cut cut VB 63372 2899 31 it -PRON- PRP 63372 2899 32 in in IN 63372 2899 33 an an DT 63372 2899 34 inclined inclined JJ 63372 2899 35 direction direction NN 63372 2899 36 . . . 63372 2900 1 That that DT 63372 2900 2 is be VBZ 63372 2900 3 a a DT 63372 2900 4 thing thing NN 63372 2900 5 which which WDT 63372 2900 6 may may MD 63372 2900 7 be be VB 63372 2900 8 true true JJ 63372 2900 9 , , , 63372 2900 10 but but CC 63372 2900 11 it -PRON- PRP 63372 2900 12 is be VBZ 63372 2900 13 one one CD 63372 2900 14 which which WDT 63372 2900 15 we -PRON- PRP 63372 2900 16 believe believe VBP 63372 2900 17 no no DT 63372 2900 18 mortal mortal JJ 63372 2900 19 man man NN 63372 2900 20 can can MD 63372 2900 21 clearly clearly RB 63372 2900 22 picture picture VB 63372 2900 23 to to IN 63372 2900 24 himself -PRON- PRP 63372 2900 25 . . . 63372 2901 1 On on IN 63372 2901 2 the the DT 63372 2901 3 other other JJ 63372 2901 4 hand hand NN 63372 2901 5 Turner Turner NNP 63372 2901 6 has have VBZ 63372 2901 7 recently recently RB 63372 2901 8 made make VBN 63372 2901 9 a a DT 63372 2901 10 very very RB 63372 2901 11 interesting interesting JJ 63372 2901 12 point,9 point,9 NN 63372 2901 13 namely namely RB 63372 2901 14 , , , 63372 2901 15 that that IN 63372 2901 16 the the DT 63372 2901 17 fourth fourth JJ 63372 2901 18 dimension dimension NN 63372 2901 19 as as IN 63372 2901 20 actually actually RB 63372 2901 21 treated treat VBN 63372 2901 22 by by IN 63372 2901 23 the the DT 63372 2901 24 mathematicians mathematician NNS 63372 2901 25 is be VBZ 63372 2901 26 not not RB 63372 2901 27 time time NN 63372 2901 28 itself -PRON- PRP 63372 2901 29 , , , 63372 2901 30 but but CC 63372 2901 31 time time NN 63372 2901 32 multiplied multiply VBN 63372 2901 33 by by IN 63372 2901 34 a a DT 63372 2901 35 constant constant NN 63372 2901 36 -- -- : 63372 2901 37 the the DT 63372 2901 38 velocity velocity NN 63372 2901 39 of of IN 63372 2901 40 light.10 light.10 NNP 63372 2901 41 Without without IN 63372 2901 42 affecting affect VBG 63372 2901 43 the the DT 63372 2901 44 astronomical astronomical JJ 63372 2901 45 proofs proof NNS 63372 2901 46 of of IN 63372 2901 47 relativity relativity NN 63372 2901 48 at at RB 63372 2901 49 all all RB 63372 2901 50 , , , 63372 2901 51 this this DT 63372 2901 52 simplifies simplify VBZ 63372 2901 53 our -PRON- PRP$ 63372 2901 54 conceptions conception NNS 63372 2901 55 enormously enormously RB 63372 2901 56 . . . 63372 2902 1 In in IN 63372 2902 2 ordinary ordinary JJ 63372 2902 3 everyday everyday JJ 63372 2902 4 life life NN 63372 2902 5 time time NN 63372 2902 6 and and CC 63372 2902 7 space space NN 63372 2902 8 can can MD 63372 2902 9 not not RB 63372 2902 10 be be VB 63372 2902 11 identical identical JJ 63372 2902 12 , , , 63372 2902 13 any any DT 63372 2902 14 more more JJR 63372 2902 15 than than IN 63372 2902 16 a a DT 63372 2902 17 yard yard NN 63372 2902 18 can can MD 63372 2902 19 be be VB 63372 2902 20 identical identical JJ 63372 2902 21 with with IN 63372 2902 22 a a DT 63372 2902 23 quart quart NN 63372 2902 24 . . . 63372 2903 1 On on IN 63372 2903 2 what what WP 63372 2903 3 is be VBZ 63372 2903 4 known know VBN 63372 2903 5 to to IN 63372 2903 6 physicists physicist NNS 63372 2903 7 as as IN 63372 2903 8 the the DT 63372 2903 9 centimeter centimeter NN 63372 2903 10 - - HYPH 63372 2903 11 gram gram NN 63372 2903 12 - - HYPH 63372 2903 13 second second NN 63372 2903 14 system system NN 63372 2903 15 , , , 63372 2903 16 distance distance NN 63372 2903 17 is be VBZ 63372 2903 18 represented represent VBN 63372 2903 19 by by IN 63372 2903 20 $ $ $ 63372 2903 21 l$ l$ NNP 63372 2903 22 , , , 63372 2903 23 mass mass NN 63372 2903 24 by by IN 63372 2903 25 $ $ $ 63372 2903 26 m$ m$ NNP 63372 2903 27 , , , 63372 2903 28 and and CC 63372 2903 29 time time NN 63372 2903 30 by by IN 63372 2903 31 $ $ $ 63372 2903 32 t$. t$. . 63372 2904 1 Velocity velocity NN 63372 2904 2 is be VBZ 63372 2904 3 then then RB 63372 2904 4 distance distance NN 63372 2904 5 divided divide VBN 63372 2904 6 by by IN 63372 2904 7 time time NN 63372 2904 8 , , , 63372 2904 9 $ $ $ 63372 2904 10 l l NN 63372 2904 11 / / SYM 63372 2904 12 t$ t$ NNP 63372 2904 13 , , , 63372 2904 14 or or CC 63372 2904 15 as as IN 63372 2904 16 we -PRON- PRP 63372 2904 17 say say VBP 63372 2904 18 in in IN 63372 2904 19 English English NNP 63372 2904 20 units unit NNS 63372 2904 21 , , , 63372 2904 22 so so RB 63372 2904 23 many many JJ 63372 2904 24 feet foot NNS 63372 2904 25 per per IN 63372 2904 26 second second NN 63372 2904 27 , , , 63372 2904 28 and and CC 63372 2904 29 the the DT 63372 2904 30 fourth fourth JJ 63372 2904 31 dimension dimension NN 63372 2904 32 may may MD 63372 2904 33 be be VB 63372 2904 34 expressed express VBN 63372 2904 35 as as IN 63372 2904 36 time time NN 63372 2904 37 multiplied multiply VBN 63372 2904 38 by by IN 63372 2904 39 velocity velocity NN 63372 2904 40 , , , 63372 2904 41 $ $ $ 63372 2904 42 t t NN 63372 2904 43 \times \times CD 63372 2904 44 l l NN 63372 2904 45 / / SYM 63372 2904 46 t t NN 63372 2904 47 = = -RRB- 63372 2904 48 l$. l$. ADD 63372 2905 1 That that DT 63372 2905 2 is be VBZ 63372 2905 3 to to TO 63372 2905 4 say say VB 63372 2905 5 , , , 63372 2905 6 it -PRON- PRP 63372 2905 7 is be VBZ 63372 2905 8 simply simply RB 63372 2905 9 distance distance NN 63372 2905 10 , , , 63372 2905 11 just just RB 63372 2905 12 like like IN 63372 2905 13 the the DT 63372 2905 14 other other JJ 63372 2905 15 three three CD 63372 2905 16 dimensions dimension NNS 63372 2905 17 . . . 63372 2906 1 To to TO 63372 2906 2 say say VB 63372 2906 3 that that DT 63372 2906 4 time time NN 63372 2906 5 is be VBZ 63372 2906 6 the the DT 63372 2906 7 fourth fourth JJ 63372 2906 8 dimension dimension NN 63372 2906 9 from from IN 63372 2906 10 this this DT 63372 2906 11 point point NN 63372 2906 12 of of IN 63372 2906 13 view view NN 63372 2906 14 , , , 63372 2906 15 appears appear VBZ 63372 2906 16 to to IN 63372 2906 17 us -PRON- PRP 63372 2906 18 just just RB 63372 2906 19 as as RB 63372 2906 20 ridiculous ridiculous JJ 63372 2906 21 as as IN 63372 2906 22 it -PRON- PRP 63372 2906 23 would would MD 63372 2906 24 be be VB 63372 2906 25 to to TO 63372 2906 26 attempt attempt VB 63372 2906 27 to to TO 63372 2906 28 measure measure VB 63372 2906 29 the the DT 63372 2906 30 velocity velocity NN 63372 2906 31 of of IN 63372 2906 32 a a DT 63372 2906 33 train train NN 63372 2906 34 in in IN 63372 2906 35 quarts quart NNS 63372 2906 36 . . . 63372 2907 1 It -PRON- PRP 63372 2907 2 is be VBZ 63372 2907 3 quite quite RB 63372 2907 4 correct correct JJ 63372 2907 5 , , , 63372 2907 6 however however RB 63372 2907 7 , , , 63372 2907 8 although although IN 63372 2907 9 unusual unusual JJ 63372 2907 10 , , , 63372 2907 11 to to TO 63372 2907 12 speak speak VB 63372 2907 13 of of IN 63372 2907 14 a a DT 63372 2907 15 given give VBN 63372 2907 16 train train NN 63372 2907 17 as as IN 63372 2907 18 moving move VBG 63372 2907 19 at at IN 63372 2907 20 a a DT 63372 2907 21 speed speed NN 63372 2907 22 of of IN 63372 2907 23 10 10 CD 63372 2907 24 quarts quart NNS 63372 2907 25 per per IN 63372 2907 26 square square JJ 63372 2907 27 inch inch NN 63372 2907 28 per per IN 63372 2907 29 second second JJ 63372 2907 30 , , , 63372 2907 31 $ $ $ 63372 2907 32 l^3 l^3 CD 63372 2907 33 / / SYM 63372 2907 34 l^2 l^2 NNP 63372 2907 35 t t NNP 63372 2907 36 = = SYM 63372 2907 37 l l NN 63372 2907 38 / / SYM 63372 2907 39 t$. t$. XX 63372 2908 1 This this DT 63372 2908 2 would would MD 63372 2908 3 be be VB 63372 2908 4 equivalent equivalent JJ 63372 2908 5 to to IN 63372 2908 6 a a DT 63372 2908 7 velocity velocity NN 63372 2908 8 of of IN 63372 2908 9 33 33 CD 63372 2908 10 miles mile NNS 63372 2908 11 per per IN 63372 2908 12 hour hour NN 63372 2908 13 . . . 63372 2909 1 If if IN 63372 2909 2 I -PRON- PRP 63372 2909 3 wish wish VBP 63372 2909 4 to to TO 63372 2909 5 give give VB 63372 2909 6 a a DT 63372 2909 7 complete complete JJ 63372 2909 8 dimensional dimensional JJ 63372 2909 9 description description NN 63372 2909 10 of of IN 63372 2909 11 myself -PRON- PRP 63372 2909 12 in in IN 63372 2909 13 my -PRON- PRP$ 63372 2909 14 four four CD 63372 2909 15 dimensions dimension NNS 63372 2909 16 , , , 63372 2909 17 I -PRON- PRP 63372 2909 18 must must MD 63372 2909 19 give give VB 63372 2909 20 my -PRON- PRP$ 63372 2909 21 length length NN 63372 2909 22 , , , 63372 2909 23 my -PRON- PRP$ 63372 2909 24 breadth breadth NN 63372 2909 25 , , , 63372 2909 26 and and CC 63372 2909 27 my -PRON- PRP$ 63372 2909 28 thickness thickness NN 63372 2909 29 , , , 63372 2909 30 ever ever RB 63372 2909 31 since since IN 63372 2909 32 I -PRON- PRP 63372 2909 33 came come VBD 63372 2909 34 into into IN 63372 2909 35 being being NN 63372 2909 36 , , , 63372 2909 37 and and CC 63372 2909 38 also also RB 63372 2909 39 the the DT 63372 2909 40 course course NN 63372 2909 41 I -PRON- PRP 63372 2909 42 have have VBP 63372 2909 43 traversed traverse VBN 63372 2909 44 through through IN 63372 2909 45 space space NN 63372 2909 46 since since IN 63372 2909 47 that that DT 63372 2909 48 time time NN 63372 2909 49 . . . 63372 2910 1 This this DT 63372 2910 2 latter latter JJ 63372 2910 3 distance distance NN 63372 2910 4 will will MD 63372 2910 5 be be VB 63372 2910 6 expressed express VBN 63372 2910 7 in in IN 63372 2910 8 terms term NNS 63372 2910 9 of of IN 63372 2910 10 a a DT 63372 2910 11 unit unit NN 63372 2910 12 whose whose WP$ 63372 2910 13 length length NN 63372 2910 14 is be VBZ 63372 2910 15 186,000 186,000 CD 63372 2910 16 miles mile NNS 63372 2910 17 , , , 63372 2910 18 the the DT 63372 2910 19 distance distance NN 63372 2910 20 traversed traverse VBN 63372 2910 21 by by IN 63372 2910 22 light light NN 63372 2910 23 in in IN 63372 2910 24 one one CD 63372 2910 25 second second NN 63372 2910 26 . . . 63372 2911 1 The the DT 63372 2911 2 distance distance NN 63372 2911 3 which which WDT 63372 2911 4 I -PRON- PRP 63372 2911 5 travel travel VBP 63372 2911 6 through through IN 63372 2911 7 space space NN 63372 2911 8 annually annually RB 63372 2911 9 is be VBZ 63372 2911 10 enormous enormous JJ 63372 2911 11 , , , 63372 2911 12 and and CC 63372 2911 13 very very RB 63372 2911 14 complex complex JJ 63372 2911 15 as as IN 63372 2911 16 to to IN 63372 2911 17 direction direction NN 63372 2911 18 . . . 63372 2912 1 It -PRON- PRP 63372 2912 2 involves involve VBZ 63372 2912 3 not not RB 63372 2912 4 merely merely RB 63372 2912 5 my -PRON- PRP$ 63372 2912 6 own own JJ 63372 2912 7 motions motion NNS 63372 2912 8 as as IN 63372 2912 9 I -PRON- PRP 63372 2912 10 cross cross VBP 63372 2912 11 the the DT 63372 2912 12 room room NN 63372 2912 13 , , , 63372 2912 14 or or CC 63372 2912 15 take take VB 63372 2912 16 a a DT 63372 2912 17 train train NN 63372 2912 18 or or CC 63372 2912 19 steamer steamer NN 63372 2912 20 , , , 63372 2912 21 but but CC 63372 2912 22 also also RB 63372 2912 23 those those DT 63372 2912 24 due due JJ 63372 2912 25 to to IN 63372 2912 26 the the DT 63372 2912 27 rotation rotation NN 63372 2912 28 of of IN 63372 2912 29 the the DT 63372 2912 30 earth earth NN 63372 2912 31 on on IN 63372 2912 32 its -PRON- PRP$ 63372 2912 33 axis axis NN 63372 2912 34 , , , 63372 2912 35 its -PRON- PRP$ 63372 2912 36 revolution revolution NN 63372 2912 37 round round IN 63372 2912 38 the the DT 63372 2912 39 sun sun NN 63372 2912 40 , , , 63372 2912 41 and and CC 63372 2912 42 the the DT 63372 2912 43 motion motion NN 63372 2912 44 of of IN 63372 2912 45 the the DT 63372 2912 46 latter latter JJ 63372 2912 47 through through IN 63372 2912 48 the the DT 63372 2912 49 heavens heavens NNPS 63372 2912 50 . . . 63372 2913 1 In in IN 63372 2913 2 general general JJ 63372 2913 3 I -PRON- PRP 63372 2913 4 travel travel VBP 63372 2913 5 , , , 63372 2913 6 or or CC 63372 2913 7 in in IN 63372 2913 8 other other JJ 63372 2913 9 words word NNS 63372 2913 10 increase increase VB 63372 2913 11 my -PRON- PRP$ 63372 2913 12 length length NN 63372 2913 13 in in IN 63372 2913 14 the the DT 63372 2913 15 fourth fourth JJ 63372 2913 16 dimension dimension NN 63372 2913 17 , , , 63372 2913 18 by by IN 63372 2913 19 over over IN 63372 2913 20 4,000 4,000 CD 63372 2913 21 units unit NNS 63372 2913 22 a a DT 63372 2913 23 year year NN 63372 2913 24 . . . 63372 2914 1 The the DT 63372 2914 2 fourth fourth JJ 63372 2914 3 dimension dimension NN 63372 2914 4 accordingly accordingly RB 63372 2914 5 , , , 63372 2914 6 if if IN 63372 2914 7 this this DT 63372 2914 8 view view NN 63372 2914 9 is be VBZ 63372 2914 10 accepted accept VBN 63372 2914 11 , , , 63372 2914 12 is be VBZ 63372 2914 13 simply simply RB 63372 2914 14 a a DT 63372 2914 15 distance distance NN 63372 2914 16 like like IN 63372 2914 17 the the DT 63372 2914 18 other other JJ 63372 2914 19 three three CD 63372 2914 20 , , , 63372 2914 21 and and CC 63372 2914 22 perfectly perfectly RB 63372 2914 23 easy easy JJ 63372 2914 24 to to TO 63372 2914 25 understand understand VB 63372 2914 26 . . . 63372 2915 1 We -PRON- PRP 63372 2915 2 now now RB 63372 2915 3 come come VBP 63372 2915 4 to to IN 63372 2915 5 the the DT 63372 2915 6 three three CD 63372 2915 7 actual actual JJ 63372 2915 8 tests test NNS 63372 2915 9 by by IN 63372 2915 10 which which WDT 63372 2915 11 the the DT 63372 2915 12 theory theory NN 63372 2915 13 has have VBZ 63372 2915 14 been be VBN 63372 2915 15 tried try VBN 63372 2915 16 . . . 63372 2916 1 The the DT 63372 2916 2 planets planet NNS 63372 2916 3 as as IN 63372 2916 4 is be VBZ 63372 2916 5 well well RB 63372 2916 6 known known JJ 63372 2916 7 revolve revolve NN 63372 2916 8 about about IN 63372 2916 9 the the DT 63372 2916 10 sun sun NN 63372 2916 11 in in IN 63372 2916 12 ellipses ellipsis NNS 63372 2916 13 , , , 63372 2916 14 with with IN 63372 2916 15 the the DT 63372 2916 16 sun sun NN 63372 2916 17 in in IN 63372 2916 18 one one CD 63372 2916 19 of of IN 63372 2916 20 the the DT 63372 2916 21 foci foci NN 63372 2916 22 . . . 63372 2917 1 That that DT 63372 2917 2 is be VBZ 63372 2917 3 to to TO 63372 2917 4 say say VB 63372 2917 5 , , , 63372 2917 6 the the DT 63372 2917 7 sun sun NN 63372 2917 8 is be VBZ 63372 2917 9 not not RB 63372 2917 10 in in IN 63372 2917 11 the the DT 63372 2917 12 center center NN 63372 2917 13 , , , 63372 2917 14 but but CC 63372 2917 15 a a DT 63372 2917 16 little little JJ 63372 2917 17 on on IN 63372 2917 18 one one CD 63372 2917 19 side side NN 63372 2917 20 of of IN 63372 2917 21 it -PRON- PRP 63372 2917 22 . . . 63372 2918 1 The the DT 63372 2918 2 end end NN 63372 2918 3 of of IN 63372 2918 4 the the DT 63372 2918 5 ellipse ellipse NN 63372 2918 6 where where WRB 63372 2918 7 the the DT 63372 2918 8 planet planet NN 63372 2918 9 comes come VBZ 63372 2918 10 nearest near JJS 63372 2918 11 to to IN 63372 2918 12 the the DT 63372 2918 13 sun sun NN 63372 2918 14 is be VBZ 63372 2918 15 called call VBN 63372 2918 16 the the DT 63372 2918 17 perihelion perihelion NN 63372 2918 18 , , , 63372 2918 19 and and CC 63372 2918 20 here here RB 63372 2918 21 the the DT 63372 2918 22 planet planet NN 63372 2918 23 is be VBZ 63372 2918 24 moving move VBG 63372 2918 25 most most RBS 63372 2918 26 rapidly rapidly RB 63372 2918 27 . . . 63372 2919 1 The the DT 63372 2919 2 other other JJ 63372 2919 3 end end NN 63372 2919 4 is be VBZ 63372 2919 5 called call VBN 63372 2919 6 the the DT 63372 2919 7 aphelion aphelion NN 63372 2919 8 , , , 63372 2919 9 and and CC 63372 2919 10 here here RB 63372 2919 11 the the DT 63372 2919 12 motion motion NN 63372 2919 13 is be VBZ 63372 2919 14 slowest slow JJS 63372 2919 15 . . . 63372 2920 1 According accord VBG 63372 2920 2 to to IN 63372 2920 3 Newton Newton NNP 63372 2920 4 's 's POS 63372 2920 5 theory theory NN 63372 2920 6 of of IN 63372 2920 7 gravitation gravitation NN 63372 2920 8 , , , 63372 2920 9 if if IN 63372 2920 10 a a DT 63372 2920 11 spherical spherical JJ 63372 2920 12 sun sun NN 63372 2920 13 possesses possess VBZ 63372 2920 14 a a DT 63372 2920 15 single single JJ 63372 2920 16 planet planet NN 63372 2920 17 or or CC 63372 2920 18 companion companion NN 63372 2920 19 , , , 63372 2920 20 its -PRON- PRP$ 63372 2920 21 orbit orbit NN 63372 2920 22 will will MD 63372 2920 23 be be VB 63372 2920 24 permanently permanently RB 63372 2920 25 fixed fix VBN 63372 2920 26 in in IN 63372 2920 27 space space NN 63372 2920 28 unless unless IN 63372 2920 29 perturbed perturb VBN 63372 2920 30 by by IN 63372 2920 31 some some DT 63372 2920 32 other other JJ 63372 2920 33 body body NN 63372 2920 34 . . . 63372 2921 1 If if IN 63372 2921 2 a a DT 63372 2921 3 second second JJ 63372 2921 4 planet planet NN 63372 2921 5 exist exist NN 63372 2921 6 , , , 63372 2921 7 it -PRON- PRP 63372 2921 8 will will MD 63372 2921 9 cause cause VB 63372 2921 10 the the DT 63372 2921 11 perihelion perihelion NN 63372 2921 12 of of IN 63372 2921 13 the the DT 63372 2921 14 first first JJ 63372 2921 15 slowly slowly RB 63372 2921 16 to to TO 63372 2921 17 advance advance VB 63372 2921 18 . . . 63372 2922 1 According accord VBG 63372 2922 2 to to IN 63372 2922 3 Einstein Einstein NNP 63372 2922 4 the the DT 63372 2922 5 mass mass NN 63372 2922 6 of of IN 63372 2922 7 a a DT 63372 2922 8 planet planet NN 63372 2922 9 depends depend VBZ 63372 2922 10 in in IN 63372 2922 11 part part NN 63372 2922 12 on on IN 63372 2922 13 its -PRON- PRP$ 63372 2922 14 velocity velocity NN 63372 2922 15 . . . 63372 2923 1 It -PRON- PRP 63372 2923 2 will will MD 63372 2923 3 therefore therefore RB 63372 2923 4 be be VB 63372 2923 5 less less JJR 63372 2923 6 at at IN 63372 2923 7 aphelion aphelion NN 63372 2923 8 where where WRB 63372 2923 9 it -PRON- PRP 63372 2923 10 is be VBZ 63372 2923 11 moving move VBG 63372 2923 12 slowly slowly RB 63372 2923 13 than than IN 63372 2923 14 at at IN 63372 2923 15 perihelion perihelion NN 63372 2923 16 where where WRB 63372 2923 17 it -PRON- PRP 63372 2923 18 is be VBZ 63372 2923 19 moving move VBG 63372 2923 20 rapidly rapidly RB 63372 2923 21 , , , 63372 2923 22 consequently consequently RB 63372 2923 23 in in IN 63372 2923 24 addition addition NN 63372 2923 25 to to IN 63372 2923 26 the the DT 63372 2923 27 Newtonian newtonian JJ 63372 2923 28 attraction attraction NN 63372 2923 29 we -PRON- PRP 63372 2923 30 have have VBP 63372 2923 31 another another DT 63372 2923 32 one one CD 63372 2923 33 which which WDT 63372 2923 34 increases increase VBZ 63372 2923 35 as as IN 63372 2923 36 we -PRON- PRP 63372 2923 37 approach approach VBP 63372 2923 38 the the DT 63372 2923 39 sun sun NN 63372 2923 40 . . . 63372 2924 1 The the DT 63372 2924 2 effect effect NN 63372 2924 3 of of IN 63372 2924 4 this this DT 63372 2924 5 will will MD 63372 2924 6 be be VB 63372 2924 7 to to TO 63372 2924 8 cause cause VB 63372 2924 9 the the DT 63372 2924 10 perihelion perihelion NN 63372 2924 11 of of IN 63372 2924 12 the the DT 63372 2924 13 orbit orbit NN 63372 2924 14 to to TO 63372 2924 15 advance advance VB 63372 2924 16 , , , 63372 2924 17 whether whether IN 63372 2924 18 there there EX 63372 2924 19 is be VBZ 63372 2924 20 a a DT 63372 2924 21 second second JJ 63372 2924 22 planet planet NN 63372 2924 23 or or CC 63372 2924 24 not not RB 63372 2924 25 . . . 63372 2925 1 Among among IN 63372 2925 2 the the DT 63372 2925 3 larger large JJR 63372 2925 4 planets planet NNS 63372 2925 5 Mercury Mercury NNP 63372 2925 6 has have VBZ 63372 2925 7 the the DT 63372 2925 8 most most RBS 63372 2925 9 eccentric eccentric JJ 63372 2925 10 orbit orbit NN 63372 2925 11 , , , 63372 2925 12 and and CC 63372 2925 13 it -PRON- PRP 63372 2925 14 also also RB 63372 2925 15 moves move VBZ 63372 2925 16 most most RBS 63372 2925 17 rapidly rapidly RB 63372 2925 18 , , , 63372 2925 19 so so IN 63372 2925 20 that that IN 63372 2925 21 it -PRON- PRP 63372 2925 22 is be VBZ 63372 2925 23 particularly particularly RB 63372 2925 24 well well RB 63372 2925 25 adapted adapted JJ 63372 2925 26 to to TO 63372 2925 27 test test VB 63372 2925 28 the the DT 63372 2925 29 relativity relativity NN 63372 2925 30 theory theory NN 63372 2925 31 . . . 63372 2926 1 The the DT 63372 2926 2 observed observed JJ 63372 2926 3 advance advance NN 63372 2926 4 of of IN 63372 2926 5 its -PRON- PRP$ 63372 2926 6 perihelion perihelion NN 63372 2926 7 is be VBZ 63372 2926 8 574 574 CD 63372 2926 9 ' ' NNS 63372 2926 10 ' ' '' 63372 2926 11 per per IN 63372 2926 12 century century NN 63372 2926 13 , , , 63372 2926 14 instead instead RB 63372 2926 15 of of IN 63372 2926 16 the the DT 63372 2926 17 theoretical theoretical JJ 63372 2926 18 figure figure NN 63372 2926 19 532 532 CD 63372 2926 20 ' ' NNS 63372 2926 21 ' ' '' 63372 2926 22 , , , 63372 2926 23 due due IN 63372 2926 24 to to IN 63372 2926 25 the the DT 63372 2926 26 other other JJ 63372 2926 27 planets planet NNS 63372 2926 28 -- -- : 63372 2926 29 a a DT 63372 2926 30 difference difference NN 63372 2926 31 of of IN 63372 2926 32 42''.11 42''.11 NNS 63372 2926 33 This this DT 63372 2926 34 has have VBZ 63372 2926 35 long long RB 63372 2926 36 been be VBN 63372 2926 37 a a DT 63372 2926 38 puzzling puzzling JJ 63372 2926 39 discrepancy discrepancy NN 63372 2926 40 between between IN 63372 2926 41 observation observation NN 63372 2926 42 and and CC 63372 2926 43 the the DT 63372 2926 44 law law NN 63372 2926 45 of of IN 63372 2926 46 gravitation gravitation NN 63372 2926 47 . . . 63372 2927 1 Prior prior RB 63372 2927 2 to to IN 63372 2927 3 Einstein Einstein NNP 63372 2927 4 , , , 63372 2927 5 attempts attempt NNS 63372 2927 6 were be VBD 63372 2927 7 made make VBN 63372 2927 8 to to TO 63372 2927 9 eliminate eliminate VB 63372 2927 10 it -PRON- PRP 63372 2927 11 by by IN 63372 2927 12 assuming assume VBG 63372 2927 13 a a DT 63372 2927 14 certain certain JJ 63372 2927 15 oblateness oblateness NN 63372 2927 16 of of IN 63372 2927 17 the the DT 63372 2927 18 solar solar JJ 63372 2927 19 disk disk NN 63372 2927 20 . . . 63372 2928 1 If if IN 63372 2928 2 the the DT 63372 2928 3 equatorial equatorial JJ 63372 2928 4 diameter diameter NN 63372 2928 5 exceeded exceed VBD 63372 2928 6 the the DT 63372 2928 7 polar polar NN 63372 2928 8 by by IN 63372 2928 9 only only RB 63372 2928 10 0''.5 0''.5 VB 63372 2928 11 the the DT 63372 2928 12 whole whole JJ 63372 2928 13 advance advance NN 63372 2928 14 would would MD 63372 2928 15 be be VB 63372 2928 16 accounted account VBN 63372 2928 17 for for IN 63372 2928 18 , , , 63372 2928 19 but but CC 63372 2928 20 not not RB 63372 2928 21 only only RB 63372 2928 22 has have VBZ 63372 2928 23 this this DT 63372 2928 24 ellipticity ellipticity NN 63372 2928 25 failed fail VBN 63372 2928 26 of of IN 63372 2928 27 detection detection NN 63372 2928 28 , , , 63372 2928 29 but but CC 63372 2928 30 if if IN 63372 2928 31 it -PRON- PRP 63372 2928 32 existed exist VBD 63372 2928 33 , , , 63372 2928 34 it -PRON- PRP 63372 2928 35 should should MD 63372 2928 36 produce produce VB 63372 2928 37 a a DT 63372 2928 38 very very RB 63372 2928 39 noticeable noticeable JJ 63372 2928 40 and and CC 63372 2928 41 inadmissible inadmissible JJ 63372 2928 42 change change NN 63372 2928 43 in in IN 63372 2928 44 the the DT 63372 2928 45 inclination inclination NN 63372 2928 46 of of IN 63372 2928 47 Mercury Mercury NNP 63372 2928 48 's 's POS 63372 2928 49 orbit orbit NN 63372 2928 50 , , , 63372 2928 51 amounting amount VBG 63372 2928 52 to to IN 63372 2928 53 about about RB 63372 2928 54 3 3 CD 63372 2928 55 ' ' POS 63372 2928 56 ' ' '' 63372 2928 57 per per IN 63372 2928 58 century century NN 63372 2928 59 , , , 63372 2928 60 as as IN 63372 2928 61 has have VBZ 63372 2928 62 been be VBN 63372 2928 63 demonstrated demonstrate VBN 63372 2928 64 by by IN 63372 2928 65 both both DT 63372 2928 66 Herzer Herzer NNP 63372 2928 67 and and CC 63372 2928 68 Newcomb.12 Newcomb.12 NNP 63372 2928 69 Einstein Einstein NNP 63372 2928 70 from from IN 63372 2928 71 computations computation NNS 63372 2928 72 alone alone RB 63372 2928 73 , , , 63372 2928 74 without without IN 63372 2928 75 introducing introduce VBG 63372 2928 76 any any DT 63372 2928 77 new new JJ 63372 2928 78 constants constant NNS 63372 2928 79 or or CC 63372 2928 80 hypotheses hypothesis NNS 63372 2928 81 whatever whatever WDT 63372 2928 82 , , , 63372 2928 83 showed show VBD 63372 2928 84 , , , 63372 2928 85 if if IN 63372 2928 86 the the DT 63372 2928 87 theory theory NN 63372 2928 88 of of IN 63372 2928 89 relativity relativity NN 63372 2928 90 be be VB 63372 2928 91 accepted accept VBN 63372 2928 92 , , , 63372 2928 93 that that IN 63372 2928 94 the the DT 63372 2928 95 sun sun NN 63372 2928 96 should should MD 63372 2928 97 produce produce VB 63372 2928 98 an an DT 63372 2928 99 acceleration acceleration NN 63372 2928 100 of of IN 63372 2928 101 43 43 CD 63372 2928 102 ' ' '' 63372 2928 103 ' ' '' 63372 2928 104 per per IN 63372 2928 105 century century NN 63372 2928 106 , , , 63372 2928 107 thus thus RB 63372 2928 108 entirely entirely RB 63372 2928 109 accounting account VBG 63372 2928 110 for for IN 63372 2928 111 the the DT 63372 2928 112 observed observed JJ 63372 2928 113 discrepancy discrepancy NN 63372 2928 114 , , , 63372 2928 115 far far RB 63372 2928 116 within within IN 63372 2928 117 the the DT 63372 2928 118 limits limit NNS 63372 2928 119 of of IN 63372 2928 120 accuracy accuracy NN 63372 2928 121 of of IN 63372 2928 122 the the DT 63372 2928 123 observations observation NNS 63372 2928 124 . . . 63372 2929 1 The the DT 63372 2929 2 only only JJ 63372 2929 3 other other JJ 63372 2929 4 planet planet NN 63372 2929 5 whose whose WP$ 63372 2929 6 orbit orbit NN 63372 2929 7 has have VBZ 63372 2929 8 a a DT 63372 2929 9 large large JJ 63372 2929 10 eccentricity eccentricity NN 63372 2929 11 , , , 63372 2929 12 and and CC 63372 2929 13 that that DT 63372 2929 14 is be VBZ 63372 2929 15 suitable suitable JJ 63372 2929 16 for for IN 63372 2929 17 investigation investigation NN 63372 2929 18 , , , 63372 2929 19 is be VBZ 63372 2929 20 the the DT 63372 2929 21 planet planet NN 63372 2929 22 Mars Mars NNP 63372 2929 23 . . . 63372 2930 1 Here here RB 63372 2930 2 the the DT 63372 2930 3 discrepancy discrepancy NN 63372 2930 4 between between IN 63372 2930 5 observation observation NN 63372 2930 6 and and CC 63372 2930 7 theory theory NN 63372 2930 8 is be VBZ 63372 2930 9 very very RB 63372 2930 10 slight slight JJ 63372 2930 11 , , , 63372 2930 12 only only RB 63372 2930 13 4 4 CD 63372 2930 14 ' ' NNS 63372 2930 15 ' ' '' 63372 2930 16 , , , 63372 2930 17 and and CC 63372 2930 18 a a DT 63372 2930 19 portion portion NN 63372 2930 20 of of IN 63372 2930 21 that that DT 63372 2930 22 may may MD 63372 2930 23 be be VB 63372 2930 24 due due IN 63372 2930 25 to to IN 63372 2930 26 the the DT 63372 2930 27 attraction attraction NN 63372 2930 28 of of IN 63372 2930 29 the the DT 63372 2930 30 asteroids asteroid NNS 63372 2930 31 . . . 63372 2931 1 This this DT 63372 2931 2 deviation deviation NN 63372 2931 3 is be VBZ 63372 2931 4 so so RB 63372 2931 5 slight slight JJ 63372 2931 6 that that IN 63372 2931 7 it -PRON- PRP 63372 2931 8 may may MD 63372 2931 9 well well RB 63372 2931 10 be be VB 63372 2931 11 due due JJ 63372 2931 12 entirely entirely RB 63372 2931 13 to to IN 63372 2931 14 accidental accidental JJ 63372 2931 15 errors error NNS 63372 2931 16 of of IN 63372 2931 17 observation observation NN 63372 2931 18 , , , 63372 2931 19 but but CC 63372 2931 20 however however RB 63372 2931 21 that that DT 63372 2931 22 may may MD 63372 2931 23 be be VB 63372 2931 24 , , , 63372 2931 25 Einstein Einstein NNP 63372 2931 26 's 's POS 63372 2931 27 theory theory NN 63372 2931 28 reduces reduce VBZ 63372 2931 29 it -PRON- PRP 63372 2931 30 to to IN 63372 2931 31 2''.7 2''.7 NNP 63372 2931 32 . . . 63372 2932 1 This this DT 63372 2932 2 all all DT 63372 2932 3 seems seem VBZ 63372 2932 4 very very RB 63372 2932 5 satisfactory satisfactory JJ 63372 2932 6 and and CC 63372 2932 7 complete complete JJ 63372 2932 8 , , , 63372 2932 9 but but CC 63372 2932 10 the the DT 63372 2932 11 trouble trouble NN 63372 2932 12 with with IN 63372 2932 13 it -PRON- PRP 63372 2932 14 is be VBZ 63372 2932 15 that that IN 63372 2932 16 the the DT 63372 2932 17 coincidence coincidence NN 63372 2932 18 for for IN 63372 2932 19 Mercury Mercury NNP 63372 2932 20 is be VBZ 63372 2932 21 rather rather RB 63372 2932 22 too too RB 63372 2932 23 good good JJ 63372 2932 24 . . . 63372 2933 1 It -PRON- PRP 63372 2933 2 is be VBZ 63372 2933 3 based base VBN 63372 2933 4 on on IN 63372 2933 5 the the DT 63372 2933 6 assumption assumption NN 63372 2933 7 that that IN 63372 2933 8 the the DT 63372 2933 9 sun sun NN 63372 2933 10 is be VBZ 63372 2933 11 a a DT 63372 2933 12 perfect perfect JJ 63372 2933 13 sphere sphere NN 63372 2933 14 , , , 63372 2933 15 and and CC 63372 2933 16 that that IN 63372 2933 17 the the DT 63372 2933 18 density density NN 63372 2933 19 of of IN 63372 2933 20 its -PRON- PRP$ 63372 2933 21 surface surface NN 63372 2933 22 is be VBZ 63372 2933 23 uniform uniform JJ 63372 2933 24 from from IN 63372 2933 25 the the DT 63372 2933 26 equator equator NN 63372 2933 27 to to IN 63372 2933 28 the the DT 63372 2933 29 poles pole NNS 63372 2933 30 . . . 63372 2934 1 This this DT 63372 2934 2 would would MD 63372 2934 3 doubtless doubtless RB 63372 2934 4 be be VB 63372 2934 5 true true JJ 63372 2934 6 if if IN 63372 2934 7 the the DT 63372 2934 8 sun sun NN 63372 2934 9 did do VBD 63372 2934 10 not not RB 63372 2934 11 revolve revolve VB 63372 2934 12 on on IN 63372 2934 13 its -PRON- PRP$ 63372 2934 14 axis axis NN 63372 2934 15 . . . 63372 2935 1 In in IN 63372 2935 2 point point NN 63372 2935 3 of of IN 63372 2935 4 fact fact NN 63372 2935 5 it -PRON- PRP 63372 2935 6 does do VBZ 63372 2935 7 revolve revolve VB 63372 2935 8 , , , 63372 2935 9 in in IN 63372 2935 10 a a DT 63372 2935 11 period period NN 63372 2935 12 in in IN 63372 2935 13 general general NN 63372 2935 14 of of IN 63372 2935 15 about about RB 63372 2935 16 26 26 CD 63372 2935 17 days day NNS 63372 2935 18 . . . 63372 2936 1 Consequently consequently RB 63372 2936 2 an an DT 63372 2936 3 object object NN 63372 2936 4 on on IN 63372 2936 5 its -PRON- PRP$ 63372 2936 6 equator equator NN 63372 2936 7 must must MD 63372 2936 8 experience experience VB 63372 2936 9 a a DT 63372 2936 10 certain certain JJ 63372 2936 11 amount amount NN 63372 2936 12 of of IN 63372 2936 13 centrifugal centrifugal JJ 63372 2936 14 force force NN 63372 2936 15 . . . 63372 2937 1 Therefore therefore RB 63372 2937 2 if if IN 63372 2937 3 its -PRON- PRP$ 63372 2937 4 surface surface NN 63372 2937 5 were be VBD 63372 2937 6 of of IN 63372 2937 7 uniform uniform JJ 63372 2937 8 density density NN 63372 2937 9 the the DT 63372 2937 10 shape shape NN 63372 2937 11 of of IN 63372 2937 12 the the DT 63372 2937 13 sun sun NN 63372 2937 14 would would MD 63372 2937 15 be be VB 63372 2937 16 an an DT 63372 2937 17 oblate oblate JJ 63372 2937 18 spheroid spheroid NN 63372 2937 19 . . . 63372 2938 1 It -PRON- PRP 63372 2938 2 can can MD 63372 2938 3 be be VB 63372 2938 4 readily readily RB 63372 2938 5 shown show VBN 63372 2938 6 that that IN 63372 2938 7 the the DT 63372 2938 8 theoretical theoretical JJ 63372 2938 9 excess excess NN 63372 2938 10 of of IN 63372 2938 11 the the DT 63372 2938 12 equatorial equatorial NN 63372 2938 13 over over IN 63372 2938 14 the the DT 63372 2938 15 polar polar JJ 63372 2938 16 diameter diameter NN 63372 2938 17 , , , 63372 2938 18 due due IN 63372 2938 19 to to IN 63372 2938 20 the the DT 63372 2938 21 centrifugal centrifugal JJ 63372 2938 22 force force NN 63372 2938 23 , , , 63372 2938 24 should should MD 63372 2938 25 amount amount VB 63372 2938 26 to to IN 63372 2938 27 only only RB 63372 2938 28 0''.04 0''.04 . 63372 2938 29 , , , 63372 2938 30 an an DT 63372 2938 31 amount amount NN 63372 2938 32 which which WDT 63372 2938 33 could could MD 63372 2938 34 hardly hardly RB 63372 2938 35 be be VB 63372 2938 36 detected detect VBN 63372 2938 37 by by IN 63372 2938 38 observation observation NN 63372 2938 39 , , , 63372 2938 40 and and CC 63372 2938 41 might may MD 63372 2938 42 readily readily RB 63372 2938 43 be be VB 63372 2938 44 concealed conceal VBN 63372 2938 45 by by IN 63372 2938 46 a a DT 63372 2938 47 slight slight JJ 63372 2938 48 excess excess NN 63372 2938 49 of of IN 63372 2938 50 equatorial equatorial NN 63372 2938 51 over over IN 63372 2938 52 polar polar JJ 63372 2938 53 density density NN 63372 2938 54 . . . 63372 2939 1 Any any DT 63372 2939 2 reasonable reasonable JJ 63372 2939 3 excess excess NN 63372 2939 4 of of IN 63372 2939 5 density density NN 63372 2939 6 at at IN 63372 2939 7 the the DT 63372 2939 8 center center NN 63372 2939 9 would would MD 63372 2939 10 diminish diminish VB 63372 2939 11 this this DT 63372 2939 12 result result NN 63372 2939 13 but but CC 63372 2939 14 slightly slightly RB 63372 2939 15 . . . 63372 2940 1 The the DT 63372 2940 2 molecular molecular JJ 63372 2940 3 weight weight NN 63372 2940 4 of of IN 63372 2940 5 the the DT 63372 2940 6 central central JJ 63372 2940 7 material13 material13 NNPS 63372 2940 8 is be VBZ 63372 2940 9 probably probably RB 63372 2940 10 about about RB 63372 2940 11 2 2 CD 63372 2940 12 . . . 63372 2941 1 This this DT 63372 2941 2 computed compute VBD 63372 2941 3 equatorial equatorial JJ 63372 2941 4 excess excess NN 63372 2941 5 is be VBZ 63372 2941 6 one one CD 63372 2941 7 - - HYPH 63372 2941 8 twelfth twelfth NN 63372 2941 9 of of IN 63372 2941 10 the the DT 63372 2941 11 amount amount NN 63372 2941 12 necessary necessary JJ 63372 2941 13 to to TO 63372 2941 14 cause cause VB 63372 2941 15 the the DT 63372 2941 16 observed observed JJ 63372 2941 17 advance advance NN 63372 2941 18 , , , 63372 2941 19 and and CC 63372 2941 20 should should MD 63372 2941 21 therefore therefore RB 63372 2941 22 cause cause VB 63372 2941 23 an an DT 63372 2941 24 advance advance NN 63372 2941 25 of of IN 63372 2941 26 the the DT 63372 2941 27 perihelion perihelion NN 63372 2941 28 of of IN 63372 2941 29 about about RB 63372 2941 30 3''.5 3''.5 NNP 63372 2941 31 per per IN 63372 2941 32 century century NN 63372 2941 33 , , , 63372 2941 34 reducing reduce VBG 63372 2941 35 the the DT 63372 2941 36 difference difference NN 63372 2941 37 between between IN 63372 2941 38 the the DT 63372 2941 39 observed observed JJ 63372 2941 40 advance advance NN 63372 2941 41 and and CC 63372 2941 42 that that WDT 63372 2941 43 caused cause VBN 63372 2941 44 by by IN 63372 2941 45 gravitation gravitation NN 63372 2941 46 to to IN 63372 2941 47 38''.5 38''.5 CD 63372 2941 48 . . . 63372 2942 1 According accord VBG 63372 2942 2 to to IN 63372 2942 3 Einstein Einstein NNP 63372 2942 4 the the DT 63372 2942 5 advance advance NN 63372 2942 6 due due IN 63372 2942 7 to to IN 63372 2942 8 relativity relativity NN 63372 2942 9 should should MD 63372 2942 10 be be VB 63372 2942 11 , , , 63372 2942 12 as as IN 63372 2942 13 we -PRON- PRP 63372 2942 14 saw see VBD 63372 2942 15 , , , 63372 2942 16 43 43 CD 63372 2942 17 ' ' CC 63372 2942 18 ' ' '' 63372 2942 19 , , , 63372 2942 20 a a DT 63372 2942 21 discrepancy discrepancy NN 63372 2942 22 of of IN 63372 2942 23 4''.5 4''.5 NN 63372 2942 24 per per IN 63372 2942 25 century century NN 63372 2942 26 , , , 63372 2942 27 or or CC 63372 2942 28 10 10 CD 63372 2942 29 per per NN 63372 2942 30 cent cent NN 63372 2942 31 . . . 63372 2943 1 Jeffreys Jeffreys NNP 63372 2943 2 has have VBZ 63372 2943 3 remarked remark VBN 63372 2943 4 that that IN 63372 2943 5 any any DT 63372 2943 6 discrepancy discrepancy NN 63372 2943 7 such such JJ 63372 2943 8 as as IN 63372 2943 9 10 10 CD 63372 2943 10 ' ' NNS 63372 2943 11 ' ' '' 63372 2943 12 " " '' 63372 2943 13 would would MD 63372 2943 14 be be VB 63372 2943 15 fatal fatal JJ 63372 2943 16 to to IN 63372 2943 17 a a DT 63372 2943 18 theory theory NN 63372 2943 19 such such JJ 63372 2943 20 as as IN 63372 2943 21 Einstein Einstein NNP 63372 2943 22 's 's POS 63372 2943 23 , , , 63372 2943 24 which which WDT 63372 2943 25 contains contain VBZ 63372 2943 26 no no DT 63372 2943 27 arbitrary arbitrary JJ 63372 2943 28 constituent constituent NN 63372 2943 29 capable capable JJ 63372 2943 30 of of IN 63372 2943 31 adjustment adjustment NN 63372 2943 32 to to TO 63372 2943 33 suit suit VB 63372 2943 34 empirical empirical JJ 63372 2943 35 facts fact NNS 63372 2943 36 . . . 63372 2944 1 " " `` 63372 2944 2 14 14 CD 63372 2944 3 It -PRON- PRP 63372 2944 4 must must MD 63372 2944 5 be be VB 63372 2944 6 pointed point VBN 63372 2944 7 out out RP 63372 2944 8 here here RB 63372 2944 9 however however RB 63372 2944 10 , , , 63372 2944 11 that that IN 63372 2944 12 so so RB 63372 2944 13 far far RB 63372 2944 14 as as IN 63372 2944 15 known know VBN 63372 2944 16 , , , 63372 2944 17 this this DT 63372 2944 18 small small JJ 63372 2944 19 correction correction NN 63372 2944 20 to to IN 63372 2944 21 the the DT 63372 2944 22 motion motion NN 63372 2944 23 of of IN 63372 2944 24 Mercury Mercury NNP 63372 2944 25 's 's POS 63372 2944 26 perihelion perihelion NN 63372 2944 27 has have VBZ 63372 2944 28 not not RB 63372 2944 29 previously previously RB 63372 2944 30 been be VBN 63372 2944 31 suggested suggest VBN 63372 2944 32 , , , 63372 2944 33 so so IN 63372 2944 34 that that IN 63372 2944 35 there there EX 63372 2944 36 has have VBZ 63372 2944 37 been be VBN 63372 2944 38 no no DT 63372 2944 39 opportunity opportunity NN 63372 2944 40 hitherto hitherto VBN 63372 2944 41 for for IN 63372 2944 42 its -PRON- PRP$ 63372 2944 43 criticism criticism NN 63372 2944 44 by by IN 63372 2944 45 others other NNS 63372 2944 46 . . . 63372 2945 1 It -PRON- PRP 63372 2945 2 was be VBD 63372 2945 3 due due JJ 63372 2945 4 largely largely RB 63372 2945 5 to to IN 63372 2945 6 the the DT 63372 2945 7 success success NN 63372 2945 8 with with IN 63372 2945 9 Mercury Mercury NNP 63372 2945 10 that that IN 63372 2945 11 it -PRON- PRP 63372 2945 12 was be VBD 63372 2945 13 decided decide VBN 63372 2945 14 to to TO 63372 2945 15 put put VB 63372 2945 16 the the DT 63372 2945 17 relativity relativity NN 63372 2945 18 theory theory NN 63372 2945 19 to to IN 63372 2945 20 another another DT 63372 2945 21 test test NN 63372 2945 22 . . . 63372 2946 1 According accord VBG 63372 2946 2 to to IN 63372 2946 3 the the DT 63372 2946 4 Newtonian newtonian JJ 63372 2946 5 theory theory NN 63372 2946 6 , , , 63372 2946 7 as as IN 63372 2946 8 stated state VBN 63372 2946 9 by by IN 63372 2946 10 Newton Newton NNP 63372 2946 11 himself -PRON- PRP 63372 2946 12 , , , 63372 2946 13 corpuscles corpuscle NNS 63372 2946 14 as as RB 63372 2946 15 well well RB 63372 2946 16 as as IN 63372 2946 17 planets planet NNS 63372 2946 18 have have VBP 63372 2946 19 mass mass NN 63372 2946 20 , , , 63372 2946 21 and and CC 63372 2946 22 must must MD 63372 2946 23 therefore therefore RB 63372 2946 24 be be VB 63372 2946 25 attracted attract VBN 63372 2946 26 by by IN 63372 2946 27 the the DT 63372 2946 28 sun sun NN 63372 2946 29 . . . 63372 2947 1 According accord VBG 63372 2947 2 to to IN 63372 2947 3 Einstein Einstein NNP 63372 2947 4 , , , 63372 2947 5 owing owe VBG 63372 2947 6 to to IN 63372 2947 7 their -PRON- PRP$ 63372 2947 8 high high JJ 63372 2947 9 velocity velocity NN 63372 2947 10 , , , 63372 2947 11 this this DT 63372 2947 12 attraction attraction NN 63372 2947 13 must must MD 63372 2947 14 be be VB 63372 2947 15 twice twice RB 63372 2947 16 as as RB 63372 2947 17 great great JJ 63372 2947 18 as as IN 63372 2947 19 it -PRON- PRP 63372 2947 20 would would MD 63372 2947 21 be be VB 63372 2947 22 according accord VBG 63372 2947 23 to to IN 63372 2947 24 the the DT 63372 2947 25 theory theory NN 63372 2947 26 of of IN 63372 2947 27 gravitation gravitation NN 63372 2947 28 . . . 63372 2948 1 If if IN 63372 2948 2 the the DT 63372 2948 3 ray ray NN 63372 2948 4 of of IN 63372 2948 5 light light NN 63372 2948 6 proceeding proceed VBG 63372 2948 7 from from IN 63372 2948 8 a a DT 63372 2948 9 star star NN 63372 2948 10 were be VBD 63372 2948 11 to to TO 63372 2948 12 pass pass VB 63372 2948 13 nearly nearly RB 63372 2948 14 tangent tangent NN 63372 2948 15 to to IN 63372 2948 16 the the DT 63372 2948 17 sun sun NN 63372 2948 18 's 's POS 63372 2948 19 limb limb NN 63372 2948 20 it -PRON- PRP 63372 2948 21 should should MD 63372 2948 22 be be VB 63372 2948 23 deflected deflect VBN 63372 2948 24 0''.87 0''.87 . 63372 2948 25 according accord VBG 63372 2948 26 to to IN 63372 2948 27 Newton Newton NNP 63372 2948 28 . . . 63372 2949 1 According accord VBG 63372 2949 2 to to IN 63372 2949 3 the the DT 63372 2949 4 theory theory NN 63372 2949 5 of of IN 63372 2949 6 relativity relativity NN 63372 2949 7 it -PRON- PRP 63372 2949 8 should should MD 63372 2949 9 be be VB 63372 2949 10 deflected deflect VBN 63372 2949 11 1''.75 1''.75 . 63372 2949 12 . . . 63372 2950 1 Stars star NNS 63372 2950 2 of of IN 63372 2950 3 course course NN 63372 2950 4 can can MD 63372 2950 5 not not RB 63372 2950 6 usually usually RB 63372 2950 7 be be VB 63372 2950 8 observed observe VBN 63372 2950 9 near near IN 63372 2950 10 the the DT 63372 2950 11 sun sun NN 63372 2950 12 . . . 63372 2951 1 It -PRON- PRP 63372 2951 2 is be VBZ 63372 2951 3 therefore therefore RB 63372 2951 4 necessary necessary JJ 63372 2951 5 to to TO 63372 2951 6 take take VB 63372 2951 7 advantage advantage NN 63372 2951 8 of of IN 63372 2951 9 a a DT 63372 2951 10 total total JJ 63372 2951 11 solar solar JJ 63372 2951 12 eclipse eclipse NN 63372 2951 13 , , , 63372 2951 14 when when WRB 63372 2951 15 the the DT 63372 2951 16 sun sun NN 63372 2951 17 is be VBZ 63372 2951 18 completely completely RB 63372 2951 19 hidden hide VBN 63372 2951 20 by by IN 63372 2951 21 the the DT 63372 2951 22 moon moon NN 63372 2951 23 , , , 63372 2951 24 in in IN 63372 2951 25 order order NN 63372 2951 26 to to TO 63372 2951 27 secure secure VB 63372 2951 28 these these DT 63372 2951 29 observations observation NNS 63372 2951 30 . . . 63372 2952 1 Two two CD 63372 2952 2 expeditions expedition NNS 63372 2952 3 , , , 63372 2952 4 one one CD 63372 2952 5 to to IN 63372 2952 6 Africa Africa NNP 63372 2952 7 , , , 63372 2952 8 and and CC 63372 2952 9 one one CD 63372 2952 10 to to IN 63372 2952 11 South South NNP 63372 2952 12 America America NNP 63372 2952 13 , , , 63372 2952 14 observed observe VBD 63372 2952 15 successfully successfully RB 63372 2952 16 the the DT 63372 2952 17 total total JJ 63372 2952 18 eclipse eclipse NN 63372 2952 19 of of IN 63372 2952 20 May May NNP 63372 2952 21 29 29 CD 63372 2952 22 , , , 63372 2952 23 1919 1919 CD 63372 2952 24 . . . 63372 2953 1 The the DT 63372 2953 2 former former JJ 63372 2953 3 was be VBD 63372 2953 4 located locate VBN 63372 2953 5 on on IN 63372 2953 6 the the DT 63372 2953 7 Island Island NNP 63372 2953 8 of of IN 63372 2953 9 Principe Principe NNP 63372 2953 10 in in IN 63372 2953 11 the the DT 63372 2953 12 Gulf Gulf NNP 63372 2953 13 of of IN 63372 2953 14 Guinea Guinea NNP 63372 2953 15 . . . 63372 2954 1 The the DT 63372 2954 2 latter latter NN 63372 2954 3 was be VBD 63372 2954 4 located locate VBN 63372 2954 5 at at IN 63372 2954 6 Sobral Sobral NNP 63372 2954 7 , , , 63372 2954 8 Brazil Brazil NNP 63372 2954 9 . . . 63372 2955 1 Their -PRON- PRP$ 63372 2955 2 equipment equipment NN 63372 2955 3 and and CC 63372 2955 4 results result NNS 63372 2955 5 are be VBP 63372 2955 6 shown show VBN 63372 2955 7 in in IN 63372 2955 8 the the DT 63372 2955 9 following follow VBG 63372 2955 10 table table NN 63372 2955 11 , , , 63372 2955 12 where where WRB 63372 2955 13 the the DT 63372 2955 14 successive successive JJ 63372 2955 15 columns column NNS 63372 2955 16 give give VBP 63372 2955 17 the the DT 63372 2955 18 location location NN 63372 2955 19 , , , 63372 2955 20 the the DT 63372 2955 21 aperture aperture NN 63372 2955 22 in in IN 63372 2955 23 inches inch NNS 63372 2955 24 of of IN 63372 2955 25 the the DT 63372 2955 26 telescopes telescope NNS 63372 2955 27 employed employ VBN 63372 2955 28 , , , 63372 2955 29 their -PRON- PRP$ 63372 2955 30 focus focus NN 63372 2955 31 in in IN 63372 2955 32 feet foot NNS 63372 2955 33 , , , 63372 2955 34 the the DT 63372 2955 35 number number NN 63372 2955 36 of of IN 63372 2955 37 plates plate NNS 63372 2955 38 secured secure VBN 63372 2955 39 , , , 63372 2955 40 the the DT 63372 2955 41 number number NN 63372 2955 42 of of IN 63372 2955 43 stars star NNS 63372 2955 44 measured measure VBN 63372 2955 45 , , , 63372 2955 46 their -PRON- PRP$ 63372 2955 47 mean mean NN 63372 2955 48 deduced deduce VBD 63372 2955 49 deflection deflection NN 63372 2955 50 from from IN 63372 2955 51 their -PRON- PRP$ 63372 2955 52 true true JJ 63372 2955 53 positions position NNS 63372 2955 54 by by IN 63372 2955 55 the the DT 63372 2955 56 attraction attraction NN 63372 2955 57 of of IN 63372 2955 58 the the DT 63372 2955 59 sun sun NN 63372 2955 60 , , , 63372 2955 61 and and CC 63372 2955 62 the the DT 63372 2955 63 deviations deviation NNS 63372 2955 64 from from IN 63372 2955 65 the the DT 63372 2955 66 theoretical theoretical JJ 63372 2955 67 results.15 results.15 NNP 63372 2955 68 In in IN 63372 2955 69 the the DT 63372 2955 70 first first JJ 63372 2955 71 and and CC 63372 2955 72 last last JJ 63372 2955 73 line line NN 63372 2955 74 of of IN 63372 2955 75 the the DT 63372 2955 76 table table NN 63372 2955 77 shown show VBN 63372 2955 78 herewith herewith NNP 63372 2955 79 , , , 63372 2955 80 this this DT 63372 2955 81 Location Location NNP 63372 2955 82 Aperture Aperture NNP 63372 2955 83 Focus Focus NNP 63372 2955 84 Plates Plates NNPS 63372 2955 85 Stars Stars NNPS 63372 2955 86 Defl Defl NNP 63372 2955 87 . . . 63372 2956 1 Dev Dev NNP 63372 2956 2 . . . 63372 2957 1 Principe principe NN 63372 2957 2 13 13 CD 63372 2957 3 11 11 CD 63372 2957 4 2 2 CD 63372 2957 5 5 5 CD 63372 2957 6 1''.60 1''.60 CD 63372 2957 7 -0''.15 -0''.15 NNP 63372 2957 8 Sobral Sobral NNP 63372 2957 9 13 13 CD 63372 2957 10 11 11 CD 63372 2957 11 19 19 CD 63372 2957 12 12 12 CD 63372 2957 13 0 0 CD 63372 2957 14 .93 .93 NFP 63372 2957 15 ( ( -LRB- 63372 2957 16 +0 +0 NFP 63372 2957 17 .06 .06 LS 63372 2957 18 ) ) -RRB- 63372 2957 19  â NN 63372 2957 20   _SP 63372 2957 21  â NN 63372 2957 22   _SP 63372 2957 23 , , , 63372 2957 24 , , , 63372 2957 25  â NN 63372 2957 26   _SP 63372 2957 27   NNP 63372 2957 28     _SP 63372 2957 29 4 4 CD 63372 2957 30 19 19 CD 63372 2957 31 8 8 CD 63372 2957 32 7 7 CD 63372 2957 33 1 1 CD 63372 2957 34 .98 .98 CD 63372 2957 35 +0 +0 NN 63372 2957 36 .23 .23 CD 63372 2957 37 deviation deviation NN 63372 2957 38 is be VBZ 63372 2957 39 taken take VBN 63372 2957 40 from from IN 63372 2957 41 Einstein Einstein NNP 63372 2957 42 's 's POS 63372 2957 43 computed compute VBN 63372 2957 44 value value NN 63372 2957 45 of of IN 63372 2957 46 1''.75 1''.75 CD 63372 2957 47 . . . 63372 2958 1 In in IN 63372 2958 2 the the DT 63372 2958 3 second second JJ 63372 2958 4 line line NN 63372 2958 5 the the DT 63372 2958 6 difference difference NN 63372 2958 7 shown show VBN 63372 2958 8 is be VBZ 63372 2958 9 from from IN 63372 2958 10 the the DT 63372 2958 11 value value NN 63372 2958 12 required require VBN 63372 2958 13 by by IN 63372 2958 14 the the DT 63372 2958 15 Newtonian newtonian JJ 63372 2958 16 theory theory NN 63372 2958 17 , , , 63372 2958 18 0''.87 0''.87 . 63372 2958 19 . . . 63372 2959 1 The the DT 63372 2959 2 results result NNS 63372 2959 3 obtained obtain VBN 63372 2959 4 with with IN 63372 2959 5 this this DT 63372 2959 6 telescope telescope NN 63372 2959 7 were be VBD 63372 2959 8 rejected reject VBN 63372 2959 9 however however RB 63372 2959 10 , , , 63372 2959 11 although although IN 63372 2959 12 they -PRON- PRP 63372 2959 13 were be VBD 63372 2959 14 much much RB 63372 2959 15 the the DT 63372 2959 16 most most RBS 63372 2959 17 numerous numerous JJ 63372 2959 18 , , , 63372 2959 19 because because IN 63372 2959 20 it -PRON- PRP 63372 2959 21 was be VBD 63372 2959 22 found find VBN 63372 2959 23 that that IN 63372 2959 24 for for IN 63372 2959 25 some some DT 63372 2959 26 reason reason NN 63372 2959 27 , , , 63372 2959 28 supposed suppose VBN 63372 2959 29 to to TO 63372 2959 30 be be VB 63372 2959 31 the the DT 63372 2959 32 heating heating NN 63372 2959 33 of of IN 63372 2959 34 the the DT 63372 2959 35 mirror mirror NN 63372 2959 36 by by IN 63372 2959 37 the the DT 63372 2959 38 sun sun NN 63372 2959 39 before before IN 63372 2959 40 the the DT 63372 2959 41 eclipse eclipse NN 63372 2959 42 , , , 63372 2959 43 the the DT 63372 2959 44 star star NN 63372 2959 45 images image NNS 63372 2959 46 were be VBD 63372 2959 47 slightly slightly RB 63372 2959 48 out out IN 63372 2959 49 of of IN 63372 2959 50 focus focus NN 63372 2959 51 , , , 63372 2959 52 and and CC 63372 2959 53 were be VBD 63372 2959 54 therefore therefore RB 63372 2959 55 considered consider VBN 63372 2959 56 unreliable unreliable JJ 63372 2959 57 . . . 63372 2960 1 The the DT 63372 2960 2 results result NNS 63372 2960 3 with with IN 63372 2960 4 the the DT 63372 2960 5 two two CD 63372 2960 6 other other JJ 63372 2960 7 telescopes telescope NNS 63372 2960 8 were be VBD 63372 2960 9 not not RB 63372 2960 10 very very RB 63372 2960 11 accordant accordant JJ 63372 2960 12 , , , 63372 2960 13 but but CC 63372 2960 14 the the DT 63372 2960 15 4-inch 4-inch CD 63372 2960 16 had have VBD 63372 2960 17 the the DT 63372 2960 18 longer long JJR 63372 2960 19 focus focus NN 63372 2960 20 , , , 63372 2960 21 secured secure VBD 63372 2960 22 the the DT 63372 2960 23 greater great JJR 63372 2960 24 number number NN 63372 2960 25 of of IN 63372 2960 26 plates plate NNS 63372 2960 27 , , , 63372 2960 28 and and CC 63372 2960 29 showed show VBD 63372 2960 30 the the DT 63372 2960 31 greater great JJR 63372 2960 32 number number NN 63372 2960 33 of of IN 63372 2960 34 stars star NNS 63372 2960 35 . . . 63372 2961 1 The the DT 63372 2961 2 results result NNS 63372 2961 3 obtained obtain VBN 63372 2961 4 with with IN 63372 2961 5 it -PRON- PRP 63372 2961 6 therefore therefore RB 63372 2961 7 appear appear VBP 63372 2961 8 to to TO 63372 2961 9 have have VB 63372 2961 10 been be VBN 63372 2961 11 the the DT 63372 2961 12 more more RBR 63372 2961 13 reliable reliable JJ 63372 2961 14 . . . 63372 2962 1 They -PRON- PRP 63372 2962 2 differ differ VBP 63372 2962 3 from from IN 63372 2962 4 Einstein Einstein NNP 63372 2962 5 's 's POS 63372 2962 6 prediction prediction NN 63372 2962 7 by by IN 63372 2962 8 13 13 CD 63372 2962 9 per per NN 63372 2962 10 cent cent NN 63372 2962 11 . . . 63372 2963 1 In in IN 63372 2963 2 future future JJ 63372 2963 3 expeditions expedition NNS 63372 2963 4 to to TO 63372 2963 5 test test VB 63372 2963 6 this this DT 63372 2963 7 question question NN 63372 2963 8 , , , 63372 2963 9 the the DT 63372 2963 10 mirror mirror NN 63372 2963 11 in in IN 63372 2963 12 front front NN 63372 2963 13 of of IN 63372 2963 14 the the DT 63372 2963 15 telescope telescope NN 63372 2963 16 will will MD 63372 2963 17 be be VB 63372 2963 18 eliminated eliminate VBN 63372 2963 19 . . . 63372 2964 1 We -PRON- PRP 63372 2964 2 now now RB 63372 2964 3 come come VBP 63372 2964 4 to to IN 63372 2964 5 the the DT 63372 2964 6 final final JJ 63372 2964 7 test test NN 63372 2964 8 which which WDT 63372 2964 9 has have VBZ 63372 2964 10 been be VBN 63372 2964 11 applied apply VBN 63372 2964 12 to to IN 63372 2964 13 Einstein Einstein NNP 63372 2964 14 's 's POS 63372 2964 15 theory theory NN 63372 2964 16 . . . 63372 2965 1 Einstein Einstein NNP 63372 2965 2 showed show VBD 63372 2965 3 that that IN 63372 2965 4 in in IN 63372 2965 5 the the DT 63372 2965 6 intense intense JJ 63372 2965 7 gravitational gravitational JJ 63372 2965 8 field field NN 63372 2965 9 of of IN 63372 2965 10 the the DT 63372 2965 11 sun sun NN 63372 2965 12 , , , 63372 2965 13 the the DT 63372 2965 14 theory theory NN 63372 2965 15 of of IN 63372 2965 16 relativity relativity NN 63372 2965 17 required require VBD 63372 2965 18 that that IN 63372 2965 19 all all DT 63372 2965 20 of of IN 63372 2965 21 the the DT 63372 2965 22 spectrum spectrum NN 63372 2965 23 lines line NNS 63372 2965 24 should should MD 63372 2965 25 be be VB 63372 2965 26 shifted shift VBN 63372 2965 27 slightly slightly RB 63372 2965 28 toward toward IN 63372 2965 29 the the DT 63372 2965 30 red red JJ 63372 2965 31 end end NN 63372 2965 32 . . . 63372 2966 1 The the DT 63372 2966 2 shift shift NN 63372 2966 3 however however RB 63372 2966 4 is be VBZ 63372 2966 5 exceedingly exceedingly RB 63372 2966 6 small small JJ 63372 2966 7 , , , 63372 2966 8 and and CC 63372 2966 9 can can MD 63372 2966 10 only only RB 63372 2966 11 be be VB 63372 2966 12 detected detect VBN 63372 2966 13 and and CC 63372 2966 14 measured measure VBN 63372 2966 15 with with IN 63372 2966 16 the the DT 63372 2966 17 most most RBS 63372 2966 18 powerful powerful JJ 63372 2966 19 modern modern JJ 63372 2966 20 instruments instrument NNS 63372 2966 21 . . . 63372 2967 1 Moreover moreover RB 63372 2967 2 only only RB 63372 2967 3 certain certain JJ 63372 2967 4 lines line NNS 63372 2967 5 can can MD 63372 2967 6 be be VB 63372 2967 7 used use VBN 63372 2967 8 , , , 63372 2967 9 because because IN 63372 2967 10 owing owe VBG 63372 2967 11 to to IN 63372 2967 12 varying vary VBG 63372 2967 13 pressure pressure NN 63372 2967 14 in in IN 63372 2967 15 the the DT 63372 2967 16 solar solar JJ 63372 2967 17 atmosphere atmosphere NN 63372 2967 18 , , , 63372 2967 19 which which WDT 63372 2967 20 affects affect VBZ 63372 2967 21 many many JJ 63372 2967 22 lines line NNS 63372 2967 23 , , , 63372 2967 24 as as RB 63372 2967 25 well well RB 63372 2967 26 as as IN 63372 2967 27 to to IN 63372 2967 28 rapid rapid JJ 63372 2967 29 motion motion NN 63372 2967 30 in in IN 63372 2967 31 the the DT 63372 2967 32 line line NN 63372 2967 33 of of IN 63372 2967 34 sight sight NN 63372 2967 35 , , , 63372 2967 36 which which WDT 63372 2967 37 may may MD 63372 2967 38 affect affect VB 63372 2967 39 all all DT 63372 2967 40 of of IN 63372 2967 41 them -PRON- PRP 63372 2967 42 , , , 63372 2967 43 still still RB 63372 2967 44 larger large JJR 63372 2967 45 displacements displacement NNS 63372 2967 46 are be VBP 63372 2967 47 liable liable JJ 63372 2967 48 to to TO 63372 2967 49 occur occur VB 63372 2967 50 . . . 63372 2968 1 According accord VBG 63372 2968 2 to to IN 63372 2968 3 the the DT 63372 2968 4 theory theory NN 63372 2968 5 of of IN 63372 2968 6 relativity relativity NN 63372 2968 7 the the DT 63372 2968 8 displacement displacement NN 63372 2968 9 of of IN 63372 2968 10 the the DT 63372 2968 11 lines line NNS 63372 2968 12 should should MD 63372 2968 13 be be VB 63372 2968 14 $ $ $ 63372 2968 15 +0.0080 +0.0080 XX 63372 2968 16 A$ a$ $ 63372 2968 17 . . . 63372 2969 1 St. St. NNP 63372 2969 2 John John NNP 63372 2969 3 at at IN 63372 2969 4 Mt. Mount NNP 63372 2970 1 Wilson Wilson NNP 63372 2970 2 found find VBD 63372 2970 3 a a DT 63372 2970 4 displacement displacement NN 63372 2970 5 for for IN 63372 2970 6 the the DT 63372 2970 7 cyanogen cyanogen NN 63372 2970 8 lines line NNS 63372 2970 9 of of IN 63372 2970 10 only only RB 63372 2970 11 $ $ $ 63372 2970 12 +0.0018 +0.0018 XX 63372 2970 13 A$ a$ $ 63372 2970 14 .16 .16 CD 63372 2970 15 Evershed evershe VBN 63372 2970 16 at at IN 63372 2970 17 Kodaikanal Kodaikanal NNP 63372 2970 18 found find VBD 63372 2970 19 +0.0060 +0.0060 : 63372 2970 20 at at IN 63372 2970 21 the the DT 63372 2970 22 north north NNP 63372 2970 23 pole pole NNP 63372 2970 24 of of IN 63372 2970 25 the the DT 63372 2970 26 sun sun NN 63372 2970 27 , , , 63372 2970 28 and and CC 63372 2970 29 +0.0080 +0.0080 VBP 63372 2970 30 at at IN 63372 2970 31 the the DT 63372 2970 32 south south NNP 63372 2970 33 pole pole NNP 63372 2970 34 . . . 63372 2971 1 These these DT 63372 2971 2 latter latter JJ 63372 2971 3 values value NNS 63372 2971 4 however however RB 63372 2971 5 were be VBD 63372 2971 6 only only RB 63372 2971 7 for for IN 63372 2971 8 the the DT 63372 2971 9 stronger strong JJR 63372 2971 10 lines line NNS 63372 2971 11 . . . 63372 2972 1 The the DT 63372 2972 2 weaker weak JJR 63372 2972 3 lines line NNS 63372 2972 4 give give VBP 63372 2972 5 much much RB 63372 2972 6 smaller small JJR 63372 2972 7 shifts shift NNS 63372 2972 8 , , , 63372 2972 9 as as IN 63372 2972 10 do do VBP 63372 2972 11 those those DT 63372 2972 12 of of IN 63372 2972 13 calcium calcium NN 63372 2972 14 and and CC 63372 2972 15 magnesium.17 magnesium.17 NNP 63372 2972 16 According accord VBG 63372 2972 17 to to IN 63372 2972 18 Einstein Einstein NNP 63372 2972 19 all all DT 63372 2972 20 lines line NNS 63372 2972 21 should should MD 63372 2972 22 give give VB 63372 2972 23 nearly nearly RB 63372 2972 24 the the DT 63372 2972 25 same same JJ 63372 2972 26 shift shift NN 63372 2972 27 , , , 63372 2972 28 an an DT 63372 2972 29 amount amount NN 63372 2972 30 proportional proportional JJ 63372 2972 31 to to IN 63372 2972 32 the the DT 63372 2972 33 wave wave NN 63372 2972 34 length length NN 63372 2972 35 . . . 63372 2973 1 It -PRON- PRP 63372 2973 2 therefore therefore RB 63372 2973 3 appears appear VBZ 63372 2973 4 that that IN 63372 2973 5 we -PRON- PRP 63372 2973 6 must must MD 63372 2973 7 conclude conclude VB 63372 2973 8 by by IN 63372 2973 9 saying say VBG 63372 2973 10 that that IN 63372 2973 11 Einstein Einstein NNP 63372 2973 12 's 's POS 63372 2973 13 theory theory NN 63372 2973 14 of of IN 63372 2973 15 relativity relativity NN 63372 2973 16 has have VBZ 63372 2973 17 been be VBN 63372 2973 18 partially partially RB 63372 2973 19 , , , 63372 2973 20 but but CC 63372 2973 21 not not RB 63372 2973 22 completely completely RB 63372 2973 23 , , , 63372 2973 24 verified verify VBN 63372 2973 25 . . . 63372 2974 1 The the DT 63372 2974 2 reference reference NN 63372 2974 3 numbers number NNS 63372 2974 4 in in IN 63372 2974 5 the the DT 63372 2974 6 above above JJ 63372 2974 7 text text NN 63372 2974 8 have have VBP 63372 2974 9 nothing nothing NN 63372 2974 10 to to TO 63372 2974 11 do do VB 63372 2974 12 with with IN 63372 2974 13 the the DT 63372 2974 14 numbers number NNS 63372 2974 15 used use VBN 63372 2974 16 in in IN 63372 2974 17 other other JJ 63372 2974 18 parts part NNS 63372 2974 19 of of IN 63372 2974 20 this this DT 63372 2974 21 volume volume NN 63372 2974 22 to to TO 63372 2974 23 acknowledge acknowledge VB 63372 2974 24 the the DT 63372 2974 25 work work NN 63372 2974 26 of of IN 63372 2974 27 the the DT 63372 2974 28 various various JJ 63372 2974 29 contestants contestant NNS 63372 2974 30 ; ; : 63372 2974 31 they -PRON- PRP 63372 2974 32 refer refer VBP 63372 2974 33 to to IN 63372 2974 34 Dr. Dr. NNP 63372 2974 35 Pickering Pickering NNP 63372 2974 36 's 's POS 63372 2974 37 sources source NNS 63372 2974 38 , , , 63372 2974 39 as as IN 63372 2974 40 follows follow VBZ 63372 2974 41 : : : 63372 2974 42 1 1 CD 63372 2974 43 Journ journ NN 63372 2974 44 . . . 63372 2975 1 Brit Brit NNP 63372 2975 2 . . . 63372 2976 1 Astron Astron NNP 63372 2976 2 . . . 63372 2977 1 Assoc Assoc NNP 63372 2977 2 . . . 63372 2977 3 , , , 63372 2977 4 1919 1919 CD 63372 2977 5 , , , 63372 2977 6 30 30 CD 63372 2977 7 , , , 63372 2977 8 76 76 CD 63372 2977 9 . . . 63372 2978 1 2 2 CD 63372 2978 2 Comptes Comptes NNPS 63372 2978 3 Rendus Rendus NNP 63372 2978 4 , , , 63372 2978 5 165 165 CD 63372 2978 6 , , , 63372 2978 7 424 424 CD 63372 2978 8 , , , 63372 2978 9 and and CC 63372 2978 10 167 167 CD 63372 2978 11 , , , 63372 2978 12 71 71 CD 63372 2978 13 . . . 63372 2979 1 3 3 CD 63372 2979 2 Monthly Monthly NNP 63372 2979 3 Notices Notices NNP 63372 2979 4 R. R. NNP 63372 2979 5 A. a. NN 63372 2979 6 S. S. NNP 63372 2979 7 , , , 63372 2979 8 1919 1919 CD 63372 2979 9 , , , 63372 2979 10 80 80 CD 63372 2979 11 , , , 63372 2979 12 104 104 CD 63372 2979 13 . . . 63372 2980 1 4 4 CD 63372 2980 2 Monthly Monthly NNP 63372 2980 3 Notices Notices NNP 63372 2980 4 R. R. NNP 63372 2980 5 A. a. NN 63372 2980 6 S. S. NNP 63372 2980 7 , , , 63372 2980 8 1917 1917 CD 63372 2980 9 , , , 63372 2980 10 77 77 CD 63372 2980 11 , , , 63372 2980 12 379 379 CD 63372 2980 13 . . . 63372 2981 1 5 5 CD 63372 2981 2 Astro Astro NNP 63372 2981 3 - - HYPH 63372 2981 4 Physical Physical NNP 63372 2981 5 Journal Journal NNP 63372 2981 6 , , , 63372 2981 7 1917 1917 CD 63372 2981 8 , , , 63372 2981 9 46 46 CD 63372 2981 10 , , , 63372 2981 11 249 249 CD 63372 2981 12 . . . 63372 2982 1 Journ Journ NNP 63372 2982 2 . . . 63372 2983 1 Brit Brit NNP 63372 2983 2 . . . 63372 2984 1 Astron Astron NNP 63372 2984 2 . . . 63372 2985 1 Assoc Assoc NNP 63372 2985 2 . . . 63372 2985 3 , , , 63372 2985 4 1920 1920 CD 63372 2985 5 , , , 63372 2985 6 30 30 CD 63372 2985 7 , , , 63372 2985 8 276 276 CD 63372 2985 9 . . . 63372 2986 1 6 6 CD 63372 2986 2 Monthly Monthly NNP 63372 2986 3 Notices Notices NNP 63372 2986 4 , , , 63372 2986 5 R. R. NNP 63372 2986 6 A. a. NN 63372 2986 7 S. S. NNP 63372 2986 8 , , , 63372 2986 9 1917 1917 CD 63372 2986 10 , , , 63372 2986 11 77 77 CD 63372 2986 12 , , , 63372 2986 13 377 377 CD 63372 2986 14 . . . 63372 2987 1 7 7 CD 63372 2987 2 Amer Amer NNP 63372 2987 3 . . . 63372 2988 1 Journ Journ NNP 63372 2988 2 . . . 63372 2989 1 Sci Sci NNP 63372 2989 2 . . NNP 63372 2989 3 , , , 63372 2989 4 34 34 CD 63372 2989 5 , , , 63372 2989 6 333 333 CD 63372 2989 7 . . . 63372 2990 1 8 8 CD 63372 2990 2 Monthly Monthly NNP 63372 2990 3 Notices Notices NNP 63372 2990 4 , , , 63372 2990 5 R. R. NNP 63372 2990 6 A. a. NN 63372 2990 7 S. S. NNP 63372 2990 8 , , , 63372 2990 9 1920 1920 CD 63372 2990 10 , , , 63372 2990 11 80 80 CD 63372 2990 12 , , , 63372 2990 13 628 628 CD 63372 2990 14 . . . 63372 2991 1 9 9 CD 63372 2991 2 The the DT 63372 2991 3 Observatory observatory JJ 63372 2991 4 1920 1920 CD 63372 2991 5 , , , 63372 2991 6 April April NNP 63372 2991 7 . . . 63372 2992 1 From from IN 63372 2992 2 an an DT 63372 2992 3 Oxford Oxford NNP 63372 2992 4 Note Note NNP 63372 2992 5 Book Book NNP 63372 2992 6 . . . 63372 2993 1 10 10 CD 63372 2993 2 Monthly Monthly NNP 63372 2993 3 Notices Notices NNP 63372 2993 4 , , , 63372 2993 5 R. R. NNP 63372 2993 6 A. a. NN 63372 2993 7 S. S. NNP 63372 2993 8 , , , 63372 2993 9 1917 1917 CD 63372 2993 10 . . . 63372 2994 1 78 78 CD 63372 2994 2 , , , 63372 2994 3 3 3 CD 63372 2994 4 De De NNP 63372 2994 5 Sitter Sitter NNP 63372 2994 6 , , , 63372 2994 7 1919 1919 CD 63372 2994 8 , , , 63372 2994 9 80 80 CD 63372 2994 10 , , , 63372 2994 11 121 121 CD 63372 2994 12 , , , 63372 2994 13 Jeans Jeans NNPS 63372 2994 14 , , , 63372 2994 15 80 80 CD 63372 2994 16 , , , 63372 2994 17 146 146 CD 63372 2994 18 Jeffreys jeffrey NNS 63372 2994 19 . . . 63372 2995 1 11 11 CD 63372 2995 2 " " `` 63372 2995 3 Gravitation Gravitation NNP 63372 2995 4 and and CC 63372 2995 5 the the DT 63372 2995 6 Principle Principle NNP 63372 2995 7 of of IN 63372 2995 8 Relativity Relativity NNP 63372 2995 9 , , , 63372 2995 10 " " '' 63372 2995 11 Eddington Eddington NNP 63372 2995 12 . . . 63372 2996 1 Royal Royal NNP 63372 2996 2 Institution Institution NNP 63372 2996 3 of of IN 63372 2996 4 Great Great NNP 63372 2996 5 Britain Britain NNP 63372 2996 6 , , , 63372 2996 7 1918 1918 CD 63372 2996 8 . . . 63372 2997 1 12 12 CD 63372 2997 2 Journ journ NN 63372 2997 3 . . . 63372 2998 1 Brit Brit NNP 63372 2998 2 . . . 63372 2999 1 Astron Astron NNP 63372 2999 2 . . . 63372 3000 1 Assoc Assoc NNP 63372 3000 2 . . . 63372 3000 3 , , , 63372 3000 4 1920 1920 CD 63372 3000 5 , , , 63372 3000 6 30 30 CD 63372 3000 7 , , , 63372 3000 8 125 125 CD 63372 3000 9 . . . 63372 3001 1 13 13 CD 63372 3001 2 " " `` 63372 3001 3 The the DT 63372 3001 4 Interior Interior NNP 63372 3001 5 of of IN 63372 3001 6 a a DT 63372 3001 7 Star Star NNP 63372 3001 8 , , , 63372 3001 9 " " '' 63372 3001 10 Eddington Eddington NNP 63372 3001 11 . . . 63372 3002 1 Scientia Scientia NNP 63372 3002 2 , , , 63372 3002 3 1918 1918 CD 63372 3002 4 , , , 63372 3002 5 23 23 CD 63372 3002 6 , , , 63372 3002 7 15 15 CD 63372 3002 8 . . . 63372 3003 1 14 14 CD 63372 3003 2 Monthly Monthly NNP 63372 3003 3 Notices Notices NNP 63372 3003 4 , , , 63372 3003 5 R. R. NNP 63372 3003 6 A. a. NN 63372 3003 7 S. S. NNP 63372 3003 8 , , , 63372 3003 9 1919 1919 CD 63372 3003 10 , , , 63372 3003 11 80 80 CD 63372 3003 12 , , , 63372 3003 13 138 138 CD 63372 3003 14 . . . 63372 3004 1 15 15 CD 63372 3004 2 Monthly monthly JJ 63372 3004 3 Notices Notices NNP 63372 3004 4 . . . 63372 3005 1 R. R. NNP 63372 3005 2 A. A. NNP 63372 3005 3 S. S. NNP 63372 3005 4 , , , 63372 3005 5 1920 1920 CD 63372 3005 6 , , , 63372 3005 7 80 80 CD 63372 3005 8 , , , 63372 3005 9 415 415 CD 63372 3005 10 . . . 63372 3006 1 Journ Journ NNP 63372 3006 2 . . . 63372 3007 1 Brit Brit NNP 63372 3007 2 . . . 63372 3008 1 Astron Astron NNP 63372 3008 2 . . . 63372 3009 1 Assoc Assoc NNP 63372 3009 2 . . . 63372 3009 3 , , , 63372 3009 4 1919 1919 CD 63372 3009 5 , , , 63372 3009 6 30 30 CD 63372 3009 7 , , , 63372 3009 8 46 46 CD 63372 3009 9 . . . 63372 3010 1 16 16 CD 63372 3010 2 Astro Astro NNP 63372 3010 3 - - HYPH 63372 3010 4 Physical Physical NNP 63372 3010 5 Journ Journ NNP 63372 3010 6 . . NNP 63372 3010 7 , , , 63372 3010 8 1917 1917 CD 63372 3010 9 , , , 63372 3010 10 46 46 CD 63372 3010 11 , , , 63372 3010 12 249 249 CD 63372 3010 13 . . . 63372 3011 1 17 17 CD 63372 3011 2 Journ journ NN 63372 3011 3 . . . 63372 3012 1 Brit Brit NNP 63372 3012 2 . . . 63372 3013 1 Astron Astron NNP 63372 3013 2 . . . 63372 3014 1 Assoc Assoc NNP 63372 3014 2 . . . 63372 3014 3 , , , 63372 3014 4 1920 1920 CD 63372 3014 5 , , , 63372 3014 6 30 30 CD 63372 3014 7 , , , 63372 3014 8 276 276 CD 63372 3014 9 . . . 63372 3015 1 XVIII xviii VB 63372 3015 2 THE the DT 63372 3015 3 PRACTICAL practical NN 63372 3015 4 SIGNIFICANCE significance NN 63372 3015 5 OF of IN 63372 3015 6 RELATIVITY RELATIVITY NNP 63372 3015 7 The the DT 63372 3015 8 Best good JJS 63372 3015 9 Discussion Discussion NNP 63372 3015 10 of of IN 63372 3015 11 the the DT 63372 3015 12 Special Special NNP 63372 3015 13 Theory Theory NNP 63372 3015 14 Among among IN 63372 3015 15 All all PDT 63372 3015 16 the the DT 63372 3015 17 Competing Competing NNP 63372 3015 18 Essays Essays NNPS 63372 3015 19 BY by IN 63372 3015 20 PROFESSOR PROFESSOR NNS 63372 3015 21 HENRY HENRY NNP 63372 3015 22 NORRIS NORRIS NNP 63372 3015 23 RUSSELL russell NN 63372 3015 24 , , , 63372 3015 25 PRINCETON PRINCETON NNP 63372 3015 26 UNIVERSITY UNIVERSITY NNP 63372 3015 27 Can Can MD 63372 3015 28 a a DT 63372 3015 29 small small JJ 63372 3015 30 child child NN 63372 3015 31 catch catch NN 63372 3015 32 a a DT 63372 3015 33 baseball baseball NN 63372 3015 34 moving move VBG 63372 3015 35 sixty sixty CD 63372 3015 36 miles mile NNS 63372 3015 37 an an DT 63372 3015 38 hour hour NN 63372 3015 39 without without IN 63372 3015 40 getting get VBG 63372 3015 41 hurt hurt VBN 63372 3015 42 ? ? . 63372 3016 1 We -PRON- PRP 63372 3016 2 should should MD 63372 3016 3 probably probably RB 63372 3016 4 answer answer VB 63372 3016 5 " " '' 63372 3016 6 No"--but no"--but CD 63372 3016 7 suppose suppose VBP 63372 3016 8 that that WDT 63372 3016 9 the the DT 63372 3016 10 boy boy NN 63372 3016 11 and and CC 63372 3016 12 his -PRON- PRP$ 63372 3016 13 father father NN 63372 3016 14 were be VBD 63372 3016 15 sitting sit VBG 63372 3016 16 side side NN 63372 3016 17 by by IN 63372 3016 18 side side NN 63372 3016 19 in in IN 63372 3016 20 an an DT 63372 3016 21 express express JJ 63372 3016 22 train train NN 63372 3016 23 , , , 63372 3016 24 and and CC 63372 3016 25 the the DT 63372 3016 26 ball ball NN 63372 3016 27 was be VBD 63372 3016 28 tossed toss VBN 63372 3016 29 lightly lightly RB 63372 3016 30 from from IN 63372 3016 31 one one CD 63372 3016 32 to to IN 63372 3016 33 the the DT 63372 3016 34 other other JJ 63372 3016 35 . . . 63372 3017 1 Then then RB 63372 3017 2 there there EX 63372 3017 3 would would MD 63372 3017 4 be be VB 63372 3017 5 no no DT 63372 3017 6 trouble trouble NN 63372 3017 7 about about IN 63372 3017 8 it -PRON- PRP 63372 3017 9 , , , 63372 3017 10 whether whether IN 63372 3017 11 the the DT 63372 3017 12 train train NN 63372 3017 13 was be VBD 63372 3017 14 standing stand VBG 63372 3017 15 still still RB 63372 3017 16 , , , 63372 3017 17 or or CC 63372 3017 18 going go VBG 63372 3017 19 at at IN 63372 3017 20 full full JJ 63372 3017 21 speed speed NN 63372 3017 22 . . . 63372 3018 1 Only only RB 63372 3018 2 the the DT 63372 3018 3 relative relative JJ 63372 3018 4 motion motion NN 63372 3018 5 of of IN 63372 3018 6 ball ball NN 63372 3018 7 and and CC 63372 3018 8 boy boy NN 63372 3018 9 would would MD 63372 3018 10 count count VB 63372 3018 11 . . . 63372 3019 1 This this DT 63372 3019 2 every every DT 63372 3019 3 - - HYPH 63372 3019 4 day day NN 63372 3019 5 experience experience NN 63372 3019 6 is be VBZ 63372 3019 7 a a DT 63372 3019 8 good good JJ 63372 3019 9 illustration illustration NN 63372 3019 10 of of IN 63372 3019 11 the the DT 63372 3019 12 much much RB 63372 3019 13 discussed discuss VBN 63372 3019 14 Principle Principle NNP 63372 3019 15 of of IN 63372 3019 16 Relativity Relativity NNP 63372 3019 17 , , , 63372 3019 18 in in IN 63372 3019 19 its -PRON- PRP$ 63372 3019 20 simplest simple JJS 63372 3019 21 form form NN 63372 3019 22 . . . 63372 3020 1 If if IN 63372 3020 2 there there EX 63372 3020 3 were be VBD 63372 3020 4 no no DT 63372 3020 5 jolting jolting NN 63372 3020 6 , , , 63372 3020 7 the the DT 63372 3020 8 motion motion NN 63372 3020 9 of of IN 63372 3020 10 the the DT 63372 3020 11 train train NN 63372 3020 12 , , , 63372 3020 13 straight straight RB 63372 3020 14 ahead ahead RB 63372 3020 15 at at IN 63372 3020 16 a a DT 63372 3020 17 uniform uniform JJ 63372 3020 18 speed speed NN 63372 3020 19 , , , 63372 3020 20 would would MD 63372 3020 21 have have VB 63372 3020 22 no no DT 63372 3020 23 effect effect NN 63372 3020 24 at at RB 63372 3020 25 all all RB 63372 3020 26 upon upon IN 63372 3020 27 the the DT 63372 3020 28 relative relative JJ 63372 3020 29 motions motion NNS 63372 3020 30 of of IN 63372 3020 31 objects object NNS 63372 3020 32 inside inside IN 63372 3020 33 it -PRON- PRP 63372 3020 34 , , , 63372 3020 35 nor nor CC 63372 3020 36 on on IN 63372 3020 37 the the DT 63372 3020 38 forces force NNS 63372 3020 39 required require VBN 63372 3020 40 to to TO 63372 3020 41 produce produce VB 63372 3020 42 or or CC 63372 3020 43 change change VB 63372 3020 44 these these DT 63372 3020 45 motions motion NNS 63372 3020 46 . . . 63372 3021 1 Indeed indeed RB 63372 3021 2 , , , 63372 3021 3 the the DT 63372 3021 4 motion motion NN 63372 3021 5 of of IN 63372 3021 6 the the DT 63372 3021 7 earth earth NN 63372 3021 8 in in IN 63372 3021 9 its -PRON- PRP$ 63372 3021 10 orbit orbit NN 63372 3021 11 , , , 63372 3021 12 which which WDT 63372 3021 13 is be VBZ 63372 3021 14 free free JJ 63372 3021 15 from from IN 63372 3021 16 all all DT 63372 3021 17 jar jar NN 63372 3021 18 , , , 63372 3021 19 but but CC 63372 3021 20 a a DT 63372 3021 21 thousand thousand CD 63372 3021 22 times time NNS 63372 3021 23 faster fast RBR 63372 3021 24 , , , 63372 3021 25 does do VBZ 63372 3021 26 not not RB 63372 3021 27 influence influence VB 63372 3021 28 even even RB 63372 3021 29 the the DT 63372 3021 30 most most RBS 63372 3021 31 delicate delicate JJ 63372 3021 32 apparatus apparatus NN 63372 3021 33 . . . 63372 3022 1 We -PRON- PRP 63372 3022 2 are be VBP 63372 3022 3 quite quite RB 63372 3022 4 unconscious unconscious JJ 63372 3022 5 of of IN 63372 3022 6 it -PRON- PRP 63372 3022 7 , , , 63372 3022 8 and and CC 63372 3022 9 would would MD 63372 3022 10 not not RB 63372 3022 11 know know VB 63372 3022 12 that that IN 63372 3022 13 the the DT 63372 3022 14 earth earth NN 63372 3022 15 was be VBD 63372 3022 16 moving move VBG 63372 3022 17 , , , 63372 3022 18 if if IN 63372 3022 19 we -PRON- PRP 63372 3022 20 could could MD 63372 3022 21 not not RB 63372 3022 22 see see VB 63372 3022 23 other other JJ 63372 3022 24 bodies body NNS 63372 3022 25 outside outside IN 63372 3022 26 it -PRON- PRP 63372 3022 27 . . . 63372 3023 1 This this DT 63372 3023 2 sort sort NN 63372 3023 3 of of IN 63372 3023 4 relativity relativity NN 63372 3023 5 has have VBZ 63372 3023 6 been be VBN 63372 3023 7 recognized recognize VBN 63372 3023 8 for for IN 63372 3023 9 more more JJR 63372 3023 10 than than IN 63372 3023 11 two two CD 63372 3023 12 centuries century NNS 63372 3023 13 and and CC 63372 3023 14 lies lie NNS 63372 3023 15 at at IN 63372 3023 16 the the DT 63372 3023 17 bottom bottom NN 63372 3023 18 of of IN 63372 3023 19 all all PDT 63372 3023 20 our -PRON- PRP$ 63372 3023 21 ordinary ordinary JJ 63372 3023 22 dynamical dynamical JJ 63372 3023 23 reasoning reasoning NN 63372 3023 24 , , , 63372 3023 25 upon upon IN 63372 3023 26 which which WDT 63372 3023 27 both both DT 63372 3023 28 science science NN 63372 3023 29 and and CC 63372 3023 30 engineering engineering NN 63372 3023 31 are be VBP 63372 3023 32 based base VBN 63372 3023 33 . . . 63372 3024 1 But but CC 63372 3024 2 there there EX 63372 3024 3 are be VBP 63372 3024 4 other other JJ 63372 3024 5 things thing NNS 63372 3024 6 in in IN 63372 3024 7 nature nature NN 63372 3024 8 besides besides IN 63372 3024 9 moving move VBG 63372 3024 10 bodies,--above bodies,--above NNP 63372 3024 11 all all DT 63372 3024 12 , , , 63372 3024 13 light light NN 63372 3024 14 , , , 63372 3024 15 which which WDT 63372 3024 16 is be VBZ 63372 3024 17 intimately intimately RB 63372 3024 18 related relate VBN 63372 3024 19 to to IN 63372 3024 20 electricity electricity NN 63372 3024 21 and and CC 63372 3024 22 magnetism magnetism NN 63372 3024 23 , , , 63372 3024 24 and and CC 63372 3024 25 can can MD 63372 3024 26 travel travel VB 63372 3024 27 through through IN 63372 3024 28 empty empty JJ 63372 3024 29 space space NN 63372 3024 30 , , , 63372 3024 31 between between IN 63372 3024 32 the the DT 63372 3024 33 stars star NNS 63372 3024 34 . . . 63372 3025 1 It -PRON- PRP 63372 3025 2 moves move VBZ 63372 3025 3 at at IN 63372 3025 4 the the DT 63372 3025 5 enormous enormous JJ 63372 3025 6 speed speed NN 63372 3025 7 of of IN 63372 3025 8 186,000 186,000 CD 63372 3025 9 miles mile NNS 63372 3025 10 per per IN 63372 3025 11 second second NN 63372 3025 12 , , , 63372 3025 13 and and CC 63372 3025 14 behaves behave VBZ 63372 3025 15 exactly exactly RB 63372 3025 16 like like IN 63372 3025 17 a a DT 63372 3025 18 series series NN 63372 3025 19 of of IN 63372 3025 20 vibrations vibration NNS 63372 3025 21 or or CC 63372 3025 22 " " `` 63372 3025 23 waves wave NNS 63372 3025 24 . . . 63372 3025 25 " " '' 63372 3026 1 We -PRON- PRP 63372 3026 2 naturally naturally RB 63372 3026 3 think think VBP 63372 3026 4 of of IN 63372 3026 5 it -PRON- PRP 63372 3026 6 as as IN 63372 3026 7 travelling travel VBG 63372 3026 8 through through IN 63372 3026 9 some some DT 63372 3026 10 medium medium NN 63372 3026 11 , , , 63372 3026 12 and and CC 63372 3026 13 call call VB 63372 3026 14 this this DT 63372 3026 15 thing thing NN 63372 3026 16 , , , 63372 3026 17 which which WDT 63372 3026 18 carries carry VBZ 63372 3026 19 the the DT 63372 3026 20 light light NN 63372 3026 21 , , , 63372 3026 22 the the DT 63372 3026 23 " " `` 63372 3026 24 ether ether NN 63372 3026 25 . . . 63372 3026 26 " " '' 63372 3027 1 Can Can MD 63372 3027 2 we -PRON- PRP 63372 3027 3 tell tell VB 63372 3027 4 whether whether IN 63372 3027 5 we -PRON- PRP 63372 3027 6 are be VBP 63372 3027 7 moving move VBG 63372 3027 8 through through IN 63372 3027 9 this this DT 63372 3027 10 ether ether NN 63372 3027 11 , , , 63372 3027 12 even even RB 63372 3027 13 though though IN 63372 3027 14 all all DT 63372 3027 15 parts part NNS 63372 3027 16 of of IN 63372 3027 17 our -PRON- PRP$ 63372 3027 18 apparatus apparatus NN 63372 3027 19 move move VBP 63372 3027 20 together together RB 63372 3027 21 , , , 63372 3027 22 and and CC 63372 3027 23 at at IN 63372 3027 24 the the DT 63372 3027 25 same same JJ 63372 3027 26 rate rate NN 63372 3027 27 ? ? . 63372 3028 1 Suppose suppose VB 63372 3028 2 that that IN 63372 3028 3 we -PRON- PRP 63372 3028 4 have have VBP 63372 3028 5 two two CD 63372 3028 6 mirrors mirror NNS 63372 3028 7 , , , 63372 3028 8 $ $ $ 63372 3028 9 M$ m$ CD 63372 3028 10 and and CC 63372 3028 11 $ $ $ 63372 3028 12 N$ n$ CD 63372 3028 13 , , , 63372 3028 14 at at IN 63372 3028 15 equal equal JJ 63372 3028 16 distances distance NNS 63372 3028 17 , , , 63372 3028 18 $ $ $ 63372 3028 19 d$ d$ NNP 63372 3028 20 , , , 63372 3028 21 from from IN 63372 3028 22 a a DT 63372 3028 23 point point NN 63372 3028 24 $ $ $ 63372 3028 25 O$ O$ NNP 63372 3028 26 , , , 63372 3028 27 but but CC 63372 3028 28 in in IN 63372 3028 29 directions direction NNS 63372 3028 30 at at IN 63372 3028 31 right right JJ 63372 3028 32 angles angle NNS 63372 3028 33 to to IN 63372 3028 34 one one CD 63372 3028 35 another another DT 63372 3028 36 , , , 63372 3028 37 and and CC 63372 3028 38 send send VB 63372 3028 39 out out RP 63372 3028 40 a a DT 63372 3028 41 flash flash NN 63372 3028 42 of of IN 63372 3028 43 light light NN 63372 3028 44 from from IN 63372 3028 45 $ $ $ 63372 3028 46 O$. o$. NN 63372 3029 1 If if IN 63372 3029 2 everything everything NN 63372 3029 3 is be VBZ 63372 3029 4 at at IN 63372 3029 5 rest rest NN 63372 3029 6 , , , 63372 3029 7 the the DT 63372 3029 8 reflected reflect VBN 63372 3029 9 flashes flash NNS 63372 3029 10 will will MD 63372 3029 11 evidently evidently RB 63372 3029 12 come come VB 63372 3029 13 back back RB 63372 3029 14 to to IN 63372 3029 15 $ $ $ 63372 3029 16 O$ O$ NNP 63372 3029 17 at at IN 63372 3029 18 the the DT 63372 3029 19 same same JJ 63372 3029 20 instant instant NN 63372 3029 21 , , , 63372 3029 22 and and CC 63372 3029 23 the the DT 63372 3029 24 elapsed elapse VBN 63372 3029 25 time time NN 63372 3029 26 will will MD 63372 3029 27 be be VB 63372 3029 28 $ $ $ 63372 3029 29 2d 2d CD 63372 3029 30 / / SYM 63372 3029 31 c$ c$ NNP 63372 3029 32 seconds second NNS 63372 3029 33 if if IN 63372 3029 34 $ $ $ 63372 3029 35 c$ c$ NNP 63372 3029 36 is be VBZ 63372 3029 37 the the DT 63372 3029 38 velocity velocity NN 63372 3029 39 of of IN 63372 3029 40 light light NN 63372 3029 41 . . . 63372 3030 1 But but CC 63372 3030 2 suppose suppose VB 63372 3030 3 that that IN 63372 3030 4 $ $ $ 63372 3030 5 O$ O$ NNP 63372 3030 6 , , , 63372 3030 7 $ $ $ 63372 3030 8 M$ m$ NN 63372 3030 9 , , , 63372 3030 10 and and CC 63372 3030 11 $ $ $ 63372 3030 12 N$ n$ CD 63372 3030 13 are be VBP 63372 3030 14 fastened fasten VBN 63372 3030 15 to to IN 63372 3030 16 a a DT 63372 3030 17 rigid rigid JJ 63372 3030 18 frame frame NN 63372 3030 19 work work NN 63372 3030 20 , , , 63372 3030 21 and and CC 63372 3030 22 all all DT 63372 3030 23 moving move VBG 63372 3030 24 in in IN 63372 3030 25 the the DT 63372 3030 26 direction direction NN 63372 3030 27 $ $ $ 63372 3030 28 O o NN 63372 3030 29 M$ M$ NNP 63372 3030 30 , , , 63372 3030 31 with with IN 63372 3030 32 velocity velocity NN 63372 3030 33 $ $ $ 63372 3030 34 V$. v$. NN 63372 3031 1 The the DT 63372 3031 2 light light NN 63372 3031 3 which which WDT 63372 3031 4 goes go VBZ 63372 3031 5 from from IN 63372 3031 6 $ $ $ 63372 3031 7 O$ O$ NNP 63372 3031 8 toward toward IN 63372 3031 9 $ $ $ 63372 3031 10 M$ M$ NNP 63372 3031 11 , , , 63372 3031 12 at at IN 63372 3031 13 the the DT 63372 3031 14 speed speed NN 63372 3031 15 $ $ $ 63372 3031 16 c$ c$ NNP 63372 3031 17 , , , 63372 3031 18 will will MD 63372 3031 19 overtake overtake VB 63372 3031 20 it -PRON- PRP 63372 3031 21 with with IN 63372 3031 22 the the DT 63372 3031 23 difference difference NN 63372 3031 24 of of IN 63372 3031 25 their -PRON- PRP$ 63372 3031 26 speeds speed NNS 63372 3031 27 , , , 63372 3031 28 $ $ $ 63372 3031 29 c c NNP 63372 3031 30 - - : 63372 3031 31 v$ v$ NNP 63372 3031 32 , , , 63372 3031 33 taking take VBG 63372 3031 34 $ $ $ 63372 3031 35 d/(c d/(c NN 63372 3031 36 - - HYPH 63372 3031 37 v)$ v)$ NN 63372 3031 38 seconds second NNS 63372 3031 39 to to TO 63372 3031 40 reach reach VB 63372 3031 41 $ $ $ 63372 3031 42 M$. m$. NN 63372 3032 1 On on IN 63372 3032 2 the the DT 63372 3032 3 way way NN 63372 3032 4 back back RB 63372 3032 5 , , , 63372 3032 6 $ $ $ 63372 3032 7 O$ O$ NNP 63372 3032 8 will will MD 63372 3032 9 be be VB 63372 3032 10 advancing advance VBG 63372 3032 11 to to TO 63372 3032 12 meet meet VB 63372 3032 13 it -PRON- PRP 63372 3032 14 , , , 63372 3032 15 and and CC 63372 3032 16 the the DT 63372 3032 17 return return NN 63372 3032 18 trip trip NN 63372 3032 19 will will MD 63372 3032 20 occupy occupy VB 63372 3032 21 $ $ $ 63372 3032 22 d/(c+v)$ d/(c+v)$ CD 63372 3032 23 seconds second NNS 63372 3032 24 . . . 63372 3033 1 The the DT 63372 3033 2 elapsed elapse VBN 63372 3033 3 time time NN 63372 3033 4 for for IN 63372 3033 5 the the DT 63372 3033 6 round round JJ 63372 3033 7 trip trip NN 63372 3033 8 comes come VBZ 63372 3033 9 out out RP 63372 3033 10 $ $ $ 63372 3033 11 2cd/(c^2-v^2)$ 2cd/(c^2-v^2)$ CD 63372 3033 12 seconds second NNS 63372 3033 13 , , , 63372 3033 14 which which WDT 63372 3033 15 is be VBZ 63372 3033 16 longer long JJR 63372 3033 17 than than IN 63372 3033 18 when when WRB 63372 3033 19 the the DT 63372 3033 20 system system NN 63372 3033 21 was be VBD 63372 3033 22 at at IN 63372 3033 23 rest rest NN 63372 3033 24 -- -- : 63372 3033 25 the the DT 63372 3033 26 loss loss NN 63372 3033 27 of of IN 63372 3033 28 time time NN 63372 3033 29 in in IN 63372 3033 30 the the DT 63372 3033 31 " " `` 63372 3033 32 stern stern JJ 63372 3033 33 chase chase NN 63372 3033 34 " " '' 63372 3033 35 exceeding exceed VBG 63372 3033 36 the the DT 63372 3033 37 saving saving NN 63372 3033 38 on on IN 63372 3033 39 the the DT 63372 3033 40 return return NN 63372 3033 41 . . . 63372 3034 1 The the DT 63372 3034 2 light light NN 63372 3034 3 which which WDT 63372 3034 4 is be VBZ 63372 3034 5 reflected reflect VBN 63372 3034 6 from from IN 63372 3034 7 N N NNP 63372 3034 8 has have VBZ 63372 3034 9 a a DT 63372 3034 10 different different JJ 63372 3034 11 history history NN 63372 3034 12 . . . 63372 3035 1 When when WRB 63372 3035 2 it -PRON- PRP 63372 3035 3 starts start VBZ 63372 3035 4 , , , 63372 3035 5 $ $ $ 63372 3035 6 O$ O$ NNS 63372 3035 7 and and CC 63372 3035 8 $ $ $ 63372 3035 9 N$ n$ CD 63372 3035 10 have have VBP 63372 3035 11 certain certain JJ 63372 3035 12 positions position NNS 63372 3035 13 in in IN 63372 3035 14 the the DT 63372 3035 15 ether ether NN 63372 3035 16 , , , 63372 3035 17 $ $ $ 63372 3035 18 O_1 O_1 NNP 63372 3035 19 $ $ $ 63372 3035 20 and and CC 63372 3035 21 $ $ $ 63372 3035 22 N_1$. n_1$. CD 63372 3036 1 By by IN 63372 3036 2 the the DT 63372 3036 3 time time NN 63372 3036 4 it -PRON- PRP 63372 3036 5 reaches reach VBZ 63372 3036 6 the the DT 63372 3036 7 mirror mirror NN 63372 3036 8 , , , 63372 3036 9 this this DT 63372 3036 10 is be VBZ 63372 3036 11 at at IN 63372 3036 12 $ $ $ 63372 3036 13 N_2 n_2 JJ 63372 3036 14 $ $ $ 63372 3036 15 , , , 63372 3036 16 and and CC 63372 3036 17 $ $ $ 63372 3036 18 O$ O$ NNP 63372 3036 19 is be VBZ 63372 3036 20 at at IN 63372 3036 21 $ $ $ 63372 3036 22 O_2 O_2 NNS 63372 3036 23 $ $ $ 63372 3036 24 , , , 63372 3036 25 and and CC 63372 3036 26 when when WRB 63372 3036 27 it -PRON- PRP 63372 3036 28 returns return VBZ 63372 3036 29 , , , 63372 3036 30 it -PRON- PRP 63372 3036 31 finds find VBZ 63372 3036 32 $ $ $ 63372 3036 33 O$ O$ NNP 63372 3036 34 at at IN 63372 3036 35 $ $ $ 63372 3036 36 O_3$. o_3$. CD 63372 3037 1 The the DT 63372 3037 2 distances distance NNS 63372 3037 3 for for IN 63372 3037 4 the the DT 63372 3037 5 outward outward JJ 63372 3037 6 and and CC 63372 3037 7 inward inward JJ 63372 3037 8 journeys journey NNS 63372 3037 9 are be VBP 63372 3037 10 now now RB 63372 3037 11 equal equal JJ 63372 3037 12 , , , 63372 3037 13 but but CC 63372 3037 14 ( ( -LRB- 63372 3037 15 as as IN 63372 3037 16 is be VBZ 63372 3037 17 obvious obvious JJ 63372 3037 18 from from IN 63372 3037 19 the the DT 63372 3037 20 figure figure NN 63372 3037 21 ) ) -RRB- 63372 3037 22 , , , 63372 3037 23 each each DT 63372 3037 24 of of IN 63372 3037 25 them -PRON- PRP 63372 3037 26 is be VBZ 63372 3037 27 greater great JJR 63372 3037 28 than than IN 63372 3037 29 $ $ $ 63372 3037 30 d$ d$ NNP 63372 3037 31 , , , 63372 3037 32 or or CC 63372 3037 33 $ $ $ 63372 3037 34 O_2N_2 o_2n_2 CD 63372 3037 35 $ $ $ 63372 3037 36 , , , 63372 3037 37 and and CC 63372 3037 38 the the DT 63372 3037 39 time time NN 63372 3037 40 for for IN 63372 3037 41 the the DT 63372 3037 42 round round JJ 63372 3037 43 trip trip NN 63372 3037 44 will will MD 63372 3037 45 be be VB 63372 3037 46 correspondingly correspondingly RB 63372 3037 47 increased increase VBN 63372 3037 48 . . . 63372 3038 1 A a DT 63372 3038 2 simple simple JJ 63372 3038 3 calculation calculation NN 63372 3038 4 shows show VBZ 63372 3038 5 that that IN 63372 3038 6 it -PRON- PRP 63372 3038 7 is be VBZ 63372 3038 8 $ $ $ 63372 3038 9 2d/\sqrt{c^2-v^2}$. 2d/\sqrt{c^2-v^2}$. CD 63372 3039 1 The the DT 63372 3039 2 increase increase NN 63372 3039 3 above above IN 63372 3039 4 the the DT 63372 3039 5 time time NN 63372 3039 6 required require VBN 63372 3039 7 when when WRB 63372 3039 8 the the DT 63372 3039 9 system system NN 63372 3039 10 was be VBD 63372 3039 11 at at IN 63372 3039 12 rest rest NN 63372 3039 13 is be VBZ 63372 3039 14 less less JJR 63372 3039 15 in in IN 63372 3039 16 this this DT 63372 3039 17 case case NN 63372 3039 18 than than IN 63372 3039 19 the the DT 63372 3039 20 preceding preceding NN 63372 3039 21 . . . 63372 3040 1 Hence hence RB 63372 3040 2 , , , 63372 3040 3 if if IN 63372 3040 4 the the DT 63372 3040 5 apparatus apparatus NN 63372 3040 6 is be VBZ 63372 3040 7 moving move VBG 63372 3040 8 through through IN 63372 3040 9 the the DT 63372 3040 10 ether ether NN 63372 3040 11 , , , 63372 3040 12 the the DT 63372 3040 13 flashes flash NNS 63372 3040 14 reflected reflect VBD 63372 3040 15 from from IN 63372 3040 16 $ $ $ 63372 3040 17 M$ M$ NNP 63372 3040 18 and and CC 63372 3040 19 $ $ $ 63372 3040 20 N$ n$ NN 63372 3040 21 will will MD 63372 3040 22 not not RB 63372 3040 23 return return VB 63372 3040 24 at at IN 63372 3040 25 the the DT 63372 3040 26 same same JJ 63372 3040 27 instant instant NN 63372 3040 28 . . . 63372 3041 1 For for IN 63372 3041 2 such such JJ 63372 3041 3 velocities velocity NNS 63372 3041 4 as as IN 63372 3041 5 are be VBP 63372 3041 6 attainable attainable JJ 63372 3041 7 -- -- : 63372 3041 8 even even RB 63372 3041 9 the the DT 63372 3041 10 18 18 CD 63372 3041 11 miles mile NNS 63372 3041 12 per per IN 63372 3041 13 second second NN 63372 3041 14 of of IN 63372 3041 15 the the DT 63372 3041 16 earth earth NN 63372 3041 17 in in IN 63372 3041 18 its -PRON- PRP$ 63372 3041 19 orbit orbit NN 63372 3041 20 -- -- : 63372 3041 21 the the DT 63372 3041 22 difference difference NN 63372 3041 23 is be VBZ 63372 3041 24 less less JJR 63372 3041 25 than than IN 63372 3041 26 a a DT 63372 3041 27 hundred hundred CD 63372 3041 28 - - HYPH 63372 3041 29 millionth millionth NN 63372 3041 30 of of IN 63372 3041 31 the the DT 63372 3041 32 elapsed elapse VBN 63372 3041 33 time time NN 63372 3041 34 . . . 63372 3042 1 Nevertheless nevertheless RB 63372 3042 2 , , , 63372 3042 3 Michelson Michelson NNP 63372 3042 4 and and CC 63372 3042 5 Morley Morley NNP 63372 3042 6 tried try VBD 63372 3042 7 to to TO 63372 3042 8 detect detect VB 63372 3042 9 it -PRON- PRP 63372 3042 10 in in IN 63372 3042 11 their -PRON- PRP$ 63372 3042 12 famous famous JJ 63372 3042 13 experiment experiment NN 63372 3042 14 . . . 63372 3043 1 A a DT 63372 3043 2 beam beam NN 63372 3043 3 of of IN 63372 3043 4 light light NN 63372 3043 5 was be VBD 63372 3043 6 allowed allow VBN 63372 3043 7 to to TO 63372 3043 8 fall fall VB 63372 3043 9 obliquely obliquely RB 63372 3043 10 upon upon IN 63372 3043 11 a a DT 63372 3043 12 clear clear JJ 63372 3043 13 glass glass NN 63372 3043 14 mirror mirror NN 63372 3043 15 ( ( -LRB- 63372 3043 16 placed place VBN 63372 3043 17 at at IN 63372 3043 18 $ $ $ 63372 3043 19 O$ O$ NNP 63372 3043 20 in in IN 63372 3043 21 the the DT 63372 3043 22 diagram diagram NN 63372 3043 23 ) ) -RRB- 63372 3043 24 which which WDT 63372 3043 25 reflected reflect VBD 63372 3043 26 part part NN 63372 3043 27 of of IN 63372 3043 28 it -PRON- PRP 63372 3043 29 toward toward IN 63372 3043 30 the the DT 63372 3043 31 mirror mirror NN 63372 3043 32 , , , 63372 3043 33 $ $ $ 63372 3043 34 M$ m$ NN 63372 3043 35 , , , 63372 3043 36 and and CC 63372 3043 37 let let VB 63372 3043 38 the the DT 63372 3043 39 rest rest NN 63372 3043 40 pass pass VB 63372 3043 41 through through RP 63372 3043 42 to to IN 63372 3043 43 the the DT 63372 3043 44 mirror mirror NN 63372 3043 45 $ $ $ 63372 3043 46 N$. N$. NNP 63372 3044 1 By by IN 63372 3044 2 reuniting reunite VBG 63372 3044 3 the the DT 63372 3044 4 beams beam NNS 63372 3044 5 after after IN 63372 3044 6 their -PRON- PRP$ 63372 3044 7 round round JJ 63372 3044 8 trips trip NNS 63372 3044 9 , , , 63372 3044 10 it -PRON- PRP 63372 3044 11 was be VBD 63372 3044 12 possible possible JJ 63372 3044 13 to to TO 63372 3044 14 tell tell VB 63372 3044 15 whether whether IN 63372 3044 16 one one PRP 63372 3044 17 had have VBD 63372 3044 18 gained gain VBN 63372 3044 19 upon upon IN 63372 3044 20 the the DT 63372 3044 21 other other JJ 63372 3044 22 by by IN 63372 3044 23 even even RB 63372 3044 24 a a DT 63372 3044 25 small small JJ 63372 3044 26 fraction fraction NN 63372 3044 27 of of IN 63372 3044 28 the the DT 63372 3044 29 time time NN 63372 3044 30 of of IN 63372 3044 31 vibration vibration NN 63372 3044 32 of of IN 63372 3044 33 a a DT 63372 3044 34 single single JJ 63372 3044 35 light light JJ 63372 3044 36 wave wave NN 63372 3044 37 . . . 63372 3045 1 The the DT 63372 3045 2 apparatus apparatus NN 63372 3045 3 was be VBD 63372 3045 4 so so RB 63372 3045 5 sensitive sensitive JJ 63372 3045 6 that that IN 63372 3045 7 the the DT 63372 3045 8 predicted predict VBN 63372 3045 9 difference difference NN 63372 3045 10 , , , 63372 3045 11 though though IN 63372 3045 12 amounting amount VBG 63372 3045 13 to to IN 63372 3045 14 less less JJR 63372 3045 15 than than IN 63372 3045 16 a a DT 63372 3045 17 millionth millionth JJ 63372 3045 18 part part NN 63372 3045 19 of of IN 63372 3045 20 a a DT 63372 3045 21 billionth billionth NN 63372 3045 22 of of IN 63372 3045 23 a a DT 63372 3045 24 second second JJ 63372 3045 25 , , , 63372 3045 26 could could MD 63372 3045 27 easily easily RB 63372 3045 28 have have VB 63372 3045 29 been be VBN 63372 3045 30 measured measure VBN 63372 3045 31 ; ; : 63372 3045 32 but but CC 63372 3045 33 they -PRON- PRP 63372 3045 34 actually actually RB 63372 3045 35 found find VBD 63372 3045 36 no no DT 63372 3045 37 difference difference NN 63372 3045 38 at at RB 63372 3045 39 all all RB 63372 3045 40 -- -- : 63372 3045 41 though though IN 63372 3045 42 the the DT 63372 3045 43 earth earth NN 63372 3045 44 is be VBZ 63372 3045 45 certainly certainly RB 63372 3045 46 in in IN 63372 3045 47 motion motion NN 63372 3045 48 . . . 63372 3046 1 Other other JJ 63372 3046 2 optical optical JJ 63372 3046 3 experiments experiment NNS 63372 3046 4 , , , 63372 3046 5 more more RBR 63372 3046 6 intricate intricate JJ 63372 3046 7 , , , 63372 3046 8 and and CC 63372 3046 9 even even RB 63372 3046 10 more more RBR 63372 3046 11 delicate delicate JJ 63372 3046 12 , , , 63372 3046 13 were be VBD 63372 3046 14 attempted attempt VBN 63372 3046 15 , , , 63372 3046 16 with with IN 63372 3046 17 the the DT 63372 3046 18 same same JJ 63372 3046 19 object object NN 63372 3046 20 of of IN 63372 3046 21 detecting detect VBG 63372 3046 22 the the DT 63372 3046 23 motion motion NN 63372 3046 24 of of IN 63372 3046 25 the the DT 63372 3046 26 earth earth NN 63372 3046 27 through through IN 63372 3046 28 the the DT 63372 3046 29 ether ether NN 63372 3046 30 ; ; : 63372 3046 31 and and CC 63372 3046 32 they -PRON- PRP 63372 3046 33 all all DT 63372 3046 34 failed fail VBD 63372 3046 35 . . . 63372 3047 1 THE the DT 63372 3047 2 SPECIAL SPECIAL NNP 63372 3047 3 THEORY theory NN 63372 3047 4 AND and CC 63372 3047 5 ITS its PRP$ 63372 3047 6 SURPRISING surprising JJ 63372 3047 7 CONSEQUENCES consequence NNS 63372 3047 8 It -PRON- PRP 63372 3047 9 was be VBD 63372 3047 10 upon upon IN 63372 3047 11 these these DT 63372 3047 12 facts fact NNS 63372 3047 13 that that WDT 63372 3047 14 Einstein Einstein NNP 63372 3047 15 based base VBD 63372 3047 16 his -PRON- PRP$ 63372 3047 17 original original JJ 63372 3047 18 , , , 63372 3047 19 or or CC 63372 3047 20 " " `` 63372 3047 21 special special JJ 63372 3047 22 " " '' 63372 3047 23 theory theory NN 63372 3047 24 of of IN 63372 3047 25 Relativity Relativity NNP 63372 3047 26 . . . 63372 3048 1 He -PRON- PRP 63372 3048 2 assumed assume VBD 63372 3048 3 boldly boldly RB 63372 3048 4 that that IN 63372 3048 5 the the DT 63372 3048 6 universe universe NN 63372 3048 7 is be VBZ 63372 3048 8 so so RB 63372 3048 9 constituted constituted JJ 63372 3048 10 that that DT 63372 3048 11 uniform uniform JJ 63372 3048 12 straight straight RB 63372 3048 13 - - HYPH 63372 3048 14 ahead ahead NN 63372 3048 15 motion motion NN 63372 3048 16 of of IN 63372 3048 17 an an DT 63372 3048 18 observer observer NN 63372 3048 19 and and CC 63372 3048 20 all all PDT 63372 3048 21 his -PRON- PRP$ 63372 3048 22 apparatus apparatus NN 63372 3048 23 will will MD 63372 3048 24 not not RB 63372 3048 25 produce produce VB 63372 3048 26 any any DT 63372 3048 27 difference difference NN 63372 3048 28 whatever whatever WDT 63372 3048 29 in in IN 63372 3048 30 the the DT 63372 3048 31 result result NN 63372 3048 32 of of IN 63372 3048 33 any any DT 63372 3048 34 physical physical JJ 63372 3048 35 process process NN 63372 3048 36 or or CC 63372 3048 37 experiment experiment NN 63372 3048 38 of of IN 63372 3048 39 any any DT 63372 3048 40 kind kind NN 63372 3048 41 . . . 63372 3049 1 Granting grant VBG 63372 3049 2 this this DT 63372 3049 3 , , , 63372 3049 4 it -PRON- PRP 63372 3049 5 follows follow VBZ 63372 3049 6 that that IN 63372 3049 7 if if IN 63372 3049 8 all all DT 63372 3049 9 objects object NNS 63372 3049 10 in in IN 63372 3049 11 the the DT 63372 3049 12 visible visible JJ 63372 3049 13 universe universe NN 63372 3049 14 were be VBD 63372 3049 15 moving move VBG 63372 3049 16 uniformly uniformly RB 63372 3049 17 together together RB 63372 3049 18 in in IN 63372 3049 19 any any DT 63372 3049 20 direction direction NN 63372 3049 21 , , , 63372 3049 22 no no RB 63372 3049 23 matter matter RB 63372 3049 24 how how WRB 63372 3049 25 fast fast RB 63372 3049 26 , , , 63372 3049 27 we -PRON- PRP 63372 3049 28 could could MD 63372 3049 29 not not RB 63372 3049 30 find find VB 63372 3049 31 this this DT 63372 3049 32 out out RP 63372 3049 33 at at RB 63372 3049 34 all all RB 63372 3049 35 . . . 63372 3050 1 We -PRON- PRP 63372 3050 2 can can MD 63372 3050 3 not not RB 63372 3050 4 determine determine VB 63372 3050 5 whether whether IN 63372 3050 6 the the DT 63372 3050 7 universe universe NN 63372 3050 8 , , , 63372 3050 9 as as IN 63372 3050 10 a a DT 63372 3050 11 whole whole NN 63372 3050 12 , , , 63372 3050 13 is be VBZ 63372 3050 14 at at IN 63372 3050 15 rest rest NN 63372 3050 16 or or CC 63372 3050 17 in in IN 63372 3050 18 motion motion NN 63372 3050 19 , , , 63372 3050 20 and and CC 63372 3050 21 may may MD 63372 3050 22 as as RB 63372 3050 23 well well RB 63372 3050 24 make make VB 63372 3050 25 one one CD 63372 3050 26 guess guess VB 63372 3050 27 as as IN 63372 3050 28 another another DT 63372 3050 29 . . . 63372 3051 1 Only only RB 63372 3051 2 the the DT 63372 3051 3 relative relative JJ 63372 3051 4 motions motion NNS 63372 3051 5 of of IN 63372 3051 6 its -PRON- PRP$ 63372 3051 7 parts part NNS 63372 3051 8 can can MD 63372 3051 9 be be VB 63372 3051 10 detected detect VBN 63372 3051 11 or or CC 63372 3051 12 studied study VBN 63372 3051 13 . . . 63372 3052 1 This this DT 63372 3052 2 seems seem VBZ 63372 3052 3 simple simple JJ 63372 3052 4 and and CC 63372 3052 5 easy easy JJ 63372 3052 6 enough enough RB 63372 3052 7 to to TO 63372 3052 8 understand understand VB 63372 3052 9 . . . 63372 3053 1 But but CC 63372 3053 2 the the DT 63372 3053 3 consequences consequence NNS 63372 3053 4 which which WDT 63372 3053 5 follow follow VBP 63372 3053 6 from from IN 63372 3053 7 it -PRON- PRP 63372 3053 8 are be VBP 63372 3053 9 extraordinary extraordinary JJ 63372 3053 10 , , , 63372 3053 11 and and CC 63372 3053 12 at at IN 63372 3053 13 first first JJ 63372 3053 14 acquaintance acquaintance NN 63372 3053 15 seem seem VBP 63372 3053 16 almost almost RB 63372 3053 17 absurd absurd JJ 63372 3053 18 . . . 63372 3054 1 In in IN 63372 3054 2 the the DT 63372 3054 3 first first JJ 63372 3054 4 place place NN 63372 3054 5 , , , 63372 3054 6 if if IN 63372 3054 7 an an DT 63372 3054 8 observer observer NN 63372 3054 9 measures measure VBZ 63372 3054 10 the the DT 63372 3054 11 velocity velocity NN 63372 3054 12 of of IN 63372 3054 13 light light NN 63372 3054 14 , , , 63372 3054 15 he -PRON- PRP 63372 3054 16 must must MD 63372 3054 17 always always RB 63372 3054 18 get get VB 63372 3054 19 the the DT 63372 3054 20 same same JJ 63372 3054 21 result result NN 63372 3054 22 , , , 63372 3054 23 no no RB 63372 3054 24 matter matter RB 63372 3054 25 how how WRB 63372 3054 26 fast fast RB 63372 3054 27 he -PRON- PRP 63372 3054 28 and and CC 63372 3054 29 his -PRON- PRP$ 63372 3054 30 apparatus apparatus NN 63372 3054 31 are be VBP 63372 3054 32 moving move VBG 63372 3054 33 , , , 63372 3054 34 or or CC 63372 3054 35 in in IN 63372 3054 36 what what WDT 63372 3054 37 direction direction NN 63372 3054 38 ( ( -LRB- 63372 3054 39 so so RB 63372 3054 40 long long RB 63372 3054 41 as as IN 63372 3054 42 the the DT 63372 3054 43 motion motion NN 63372 3054 44 is be VBZ 63372 3054 45 uniform uniform JJ 63372 3054 46 and and CC 63372 3054 47 rectilinear rectilinear JJ 63372 3054 48 ) ) -RRB- 63372 3054 49 . . . 63372 3055 1 This this DT 63372 3055 2 sounds sound VBZ 63372 3055 3 harmless harmless JJ 63372 3055 4 ; ; : 63372 3055 5 but but CC 63372 3055 6 let let VB 63372 3055 7 us -PRON- PRP 63372 3055 8 go go VB 63372 3055 9 back back RB 63372 3055 10 to to IN 63372 3055 11 the the DT 63372 3055 12 Michelson Michelson NNP 63372 3055 13 - - HYPH 63372 3055 14 Morley Morley NNP 63372 3055 15 experiment experiment NN 63372 3055 16 where where WRB 63372 3055 17 the the DT 63372 3055 18 light light NN 63372 3055 19 came come VBD 63372 3055 20 back back RB 63372 3055 21 in in IN 63372 3055 22 exactly exactly RB 63372 3055 23 the the DT 63372 3055 24 same same JJ 63372 3055 25 time time NN 63372 3055 26 from from IN 63372 3055 27 the the DT 63372 3055 28 two two CD 63372 3055 29 mirrors mirror NNS 63372 3055 30 . . . 63372 3056 1 If if IN 63372 3056 2 the the DT 63372 3056 3 observer observer NN 63372 3056 4 supposes suppose VBZ 63372 3056 5 himself -PRON- PRP 63372 3056 6 to to TO 63372 3056 7 be be VB 63372 3056 8 at at IN 63372 3056 9 rest rest NN 63372 3056 10 , , , 63372 3056 11 he -PRON- PRP 63372 3056 12 will will MD 63372 3056 13 say say VB 63372 3056 14 that that IN 63372 3056 15 the the DT 63372 3056 16 distances distance NNS 63372 3056 17 $ $ $ 63372 3056 18 O o NN 63372 3056 19 M$ m$ NN 63372 3056 20 and and CC 63372 3056 21 $ $ $ 63372 3056 22 O o NN 63372 3056 23 N$ n$ NN 63372 3056 24 were be VBD 63372 3056 25 equal equal JJ 63372 3056 26 . . . 63372 3057 1 But but CC 63372 3057 2 if if IN 63372 3057 3 he -PRON- PRP 63372 3057 4 fancies fancy VBZ 63372 3057 5 that that IN 63372 3057 6 the the DT 63372 3057 7 whole whole JJ 63372 3057 8 universe universe NN 63372 3057 9 is be VBZ 63372 3057 10 moving move VBG 63372 3057 11 in in IN 63372 3057 12 the the DT 63372 3057 13 direction direction NN 63372 3057 14 $ $ $ 63372 3057 15 O o NN 63372 3057 16 M$ m$ NN 63372 3057 17 , , , 63372 3057 18 he -PRON- PRP 63372 3057 19 will will MD 63372 3057 20 conclude conclude VB 63372 3057 21 that that IN 63372 3057 22 $ $ $ 63372 3057 23 M$ M$ NNP 63372 3057 24 is be VBZ 63372 3057 25 nearer near JJR 63372 3057 26 to to IN 63372 3057 27 $ $ $ 63372 3057 28 O$ o$ CD 63372 3057 29 than than IN 63372 3057 30 $ $ $ 63372 3057 31 N$ n$ CD 63372 3057 32 is be VBZ 63372 3057 33 -- -- : 63372 3057 34 for for IN 63372 3057 35 if if IN 63372 3057 36 they -PRON- PRP 63372 3057 37 were be VBD 63372 3057 38 equidistant equidistant JJ 63372 3057 39 , , , 63372 3057 40 the the DT 63372 3057 41 round round JJ 63372 3057 42 - - HYPH 63372 3057 43 trip trip NN 63372 3057 44 would would MD 63372 3057 45 take take VB 63372 3057 46 longer long RBR 63372 3057 47 in in IN 63372 3057 48 the the DT 63372 3057 49 first first JJ 63372 3057 50 case case NN 63372 3057 51 , , , 63372 3057 52 as as IN 63372 3057 53 we -PRON- PRP 63372 3057 54 have have VBP 63372 3057 55 proved prove VBN 63372 3057 56 . . . 63372 3058 1 If if IN 63372 3058 2 once once RB 63372 3058 3 more more RBR 63372 3058 4 he -PRON- PRP 63372 3058 5 fancies fancy VBZ 63372 3058 6 that that IN 63372 3058 7 the the DT 63372 3058 8 universe universe NN 63372 3058 9 is be VBZ 63372 3058 10 moving move VBG 63372 3058 11 in in IN 63372 3058 12 the the DT 63372 3058 13 direction direction NN 63372 3058 14 $ $ $ 63372 3058 15 O o NN 63372 3058 16 N$ N$ NNP 63372 3058 17 , , , 63372 3058 18 he -PRON- PRP 63372 3058 19 will will MD 63372 3058 20 conclude conclude VB 63372 3058 21 that that IN 63372 3058 22 N N NNP 63372 3058 23 is be VBZ 63372 3058 24 nearer near JJR 63372 3058 25 to to IN 63372 3058 26 $ $ $ 63372 3058 27 O$ o$ CD 63372 3058 28 than than IN 63372 3058 29 $ $ $ 63372 3058 30 M$ M$ NNP 63372 3058 31 is be VBZ 63372 3058 32 . . . 63372 3059 1 His -PRON- PRP$ 63372 3059 2 answer answer NN 63372 3059 3 to to IN 63372 3059 4 the the DT 63372 3059 5 question question NN 63372 3059 6 which which WDT 63372 3059 7 of of IN 63372 3059 8 the the DT 63372 3059 9 two two CD 63372 3059 10 distances distance NNS 63372 3059 11 , , , 63372 3059 12 $ $ $ 63372 3059 13 O o NN 63372 3059 14 M$ m$ NN 63372 3059 15 or or CC 63372 3059 16 $ $ $ 63372 3059 17 O o NN 63372 3059 18 N$ n$ NN 63372 3059 19 , , , 63372 3059 20 is be VBZ 63372 3059 21 the the DT 63372 3059 22 greater great JJR 63372 3059 23 will will MD 63372 3059 24 therefore therefore RB 63372 3059 25 depend depend VB 63372 3059 26 on on IN 63372 3059 27 his -PRON- PRP$ 63372 3059 28 assumption assumption NN 63372 3059 29 about about IN 63372 3059 30 the the DT 63372 3059 31 motion motion NN 63372 3059 32 of of IN 63372 3059 33 the the DT 63372 3059 34 universe universe NN 63372 3059 35 as as IN 63372 3059 36 a a DT 63372 3059 37 whole whole NN 63372 3059 38 . . . 63372 3060 1 Similar similar JJ 63372 3060 2 complications complication NNS 63372 3060 3 arise arise VBP 63372 3060 4 in in IN 63372 3060 5 the the DT 63372 3060 6 measurement measurement NN 63372 3060 7 of of IN 63372 3060 8 time time NN 63372 3060 9 . . . 63372 3061 1 Suppose suppose VB 63372 3061 2 that that IN 63372 3061 3 we -PRON- PRP 63372 3061 4 have have VBP 63372 3061 5 two two CD 63372 3061 6 observers observer NNS 63372 3061 7 , , , 63372 3061 8 $ $ $ 63372 3061 9 A$ a$ $ 63372 3061 10 and and CC 63372 3061 11 $ $ $ 63372 3061 12 B$ B$ NNP 63372 3061 13 , , , 63372 3061 14 provided provide VBN 63372 3061 15 with with IN 63372 3061 16 clocks clock NNS 63372 3061 17 which which WDT 63372 3061 18 run run VBP 63372 3061 19 with with IN 63372 3061 20 perfect perfect JJ 63372 3061 21 uniformity uniformity NN 63372 3061 22 , , , 63372 3061 23 and and CC 63372 3061 24 mirrors mirror NNS 63372 3061 25 to to TO 63372 3061 26 reflect reflect VB 63372 3061 27 light light JJ 63372 3061 28 signals signal NNS 63372 3061 29 to to IN 63372 3061 30 one one CD 63372 3061 31 another another DT 63372 3061 32 . . . 63372 3062 1 At at IN 63372 3062 2 noon noon NN 63372 3062 3 exactly exactly RB 63372 3062 4 by by IN 63372 3062 5 his -PRON- PRP$ 63372 3062 6 clock clock NN 63372 3062 7 , , , 63372 3062 8 $ $ $ 63372 3062 9 A$ a$ $ 63372 3062 10 sends send VBZ 63372 3062 11 a a DT 63372 3062 12 flash flash NN 63372 3062 13 of of IN 63372 3062 14 light light NN 63372 3062 15 towards towards IN 63372 3062 16 $ $ $ 63372 3062 17 B$. b$. NN 63372 3063 1 $ $ $ 63372 3063 2 B$ B$ NNP 63372 3063 3 sees see VBZ 63372 3063 4 it -PRON- PRP 63372 3063 5 come come VBN 63372 3063 6 in in RB 63372 3063 7 at at IN 63372 3063 8 12:01 12:01 CD 63372 3063 9 by by IN 63372 3063 10 his -PRON- PRP$ 63372 3063 11 clock clock NN 63372 3063 12 . . . 63372 3064 1 The the DT 63372 3064 2 flash flash NN 63372 3064 3 reflected reflect VBD 63372 3064 4 from from IN 63372 3064 5 $ $ $ 63372 3064 6 B$ B$ NNP 63372 3064 7 's 's POS 63372 3064 8 mirror mirror NN 63372 3064 9 reaches reach VBZ 63372 3064 10 $ $ $ 63372 3064 11 A$ a$ $ 63372 3064 12 at at IN 63372 3064 13 12:02 12:02 CD 63372 3064 14 by by IN 63372 3064 15 $ $ $ 63372 3064 16 A$ A$ NNP 63372 3064 17 's 's POS 63372 3064 18 clock clock NN 63372 3064 19 . . . 63372 3065 1 They -PRON- PRP 63372 3065 2 communicate communicate VBP 63372 3065 3 these these DT 63372 3065 4 observations observation NNS 63372 3065 5 to to IN 63372 3065 6 one one CD 63372 3065 7 another another DT 63372 3065 8 . . . 63372 3066 1 If if IN 63372 3066 2 $ $ $ 63372 3066 3 A$ a$ $ 63372 3066 4 and and CC 63372 3066 5 $ $ $ 63372 3066 6 B$ b$ $ 63372 3066 7 regard regard VB 63372 3066 8 themselves -PRON- PRP 63372 3066 9 as as IN 63372 3066 10 being be VBG 63372 3066 11 at at IN 63372 3066 12 rest rest NN 63372 3066 13 , , , 63372 3066 14 they -PRON- PRP 63372 3066 15 will will MD 63372 3066 16 agree agree VB 63372 3066 17 that that IN 63372 3066 18 the the DT 63372 3066 19 light light NN 63372 3066 20 took take VBD 63372 3066 21 as as RB 63372 3066 22 long long JJ 63372 3066 23 to to TO 63372 3066 24 go go VB 63372 3066 25 out out RP 63372 3066 26 as as IN 63372 3066 27 it -PRON- PRP 63372 3066 28 did do VBD 63372 3066 29 to to TO 63372 3066 30 come come VB 63372 3066 31 back back RB 63372 3066 32 , , , 63372 3066 33 and and CC 63372 3066 34 therefore therefore RB 63372 3066 35 that that IN 63372 3066 36 it -PRON- PRP 63372 3066 37 reached reach VBD 63372 3066 38 $ $ $ 63372 3066 39 B$ B$ NNS 63372 3066 40 at at IN 63372 3066 41 just just RB 63372 3066 42 12:01 12:01 CD 63372 3066 43 by by IN 63372 3066 44 $ $ $ 63372 3066 45 A$ A$ NNP 63372 3066 46 's 's POS 63372 3066 47 clock clock NN 63372 3066 48 , , , 63372 3066 49 and and CC 63372 3066 50 that that IN 63372 3066 51 the the DT 63372 3066 52 two two CD 63372 3066 53 clocks clock NNS 63372 3066 54 are be VBP 63372 3066 55 synchronized synchronize VBN 63372 3066 56 . . . 63372 3067 1 But but CC 63372 3067 2 they -PRON- PRP 63372 3067 3 may may MD 63372 3067 4 , , , 63372 3067 5 if if IN 63372 3067 6 they -PRON- PRP 63372 3067 7 please please VBP 63372 3067 8 , , , 63372 3067 9 suppose suppose VB 63372 3067 10 that that IN 63372 3067 11 they -PRON- PRP 63372 3067 12 ( ( -LRB- 63372 3067 13 and and CC 63372 3067 14 the the DT 63372 3067 15 whole whole JJ 63372 3067 16 universe universe NN 63372 3067 17 ) ) -RRB- 63372 3067 18 are be VBP 63372 3067 19 moving move VBG 63372 3067 20 in in IN 63372 3067 21 the the DT 63372 3067 22 direction direction NN 63372 3067 23 from from IN 63372 3067 24 $ $ $ 63372 3067 25 A$ a$ $ 63372 3067 26 towards towards IN 63372 3067 27 $ $ $ 63372 3067 28 B$ B$ NNS 63372 3067 29 , , , 63372 3067 30 with with IN 63372 3067 31 half half PDT 63372 3067 32 the the DT 63372 3067 33 speed speed NN 63372 3067 34 of of IN 63372 3067 35 light light NN 63372 3067 36 . . . 63372 3068 1 They -PRON- PRP 63372 3068 2 will will MD 63372 3068 3 then then RB 63372 3068 4 say say VB 63372 3068 5 that that IN 63372 3068 6 the the DT 63372 3068 7 light light NN 63372 3068 8 had have VBD 63372 3068 9 a a DT 63372 3068 10 " " `` 63372 3068 11 stern stern JJ 63372 3068 12 chase chase NN 63372 3068 13 " " '' 63372 3068 14 to to TO 63372 3068 15 reach reach VB 63372 3068 16 $ $ $ 63372 3068 17 B$ b$ NN 63372 3068 18 , , , 63372 3068 19 and and CC 63372 3068 20 took take VBD 63372 3068 21 three three CD 63372 3068 22 times time NNS 63372 3068 23 as as RB 63372 3068 24 long long RB 63372 3068 25 to to TO 63372 3068 26 go go VB 63372 3068 27 out out RP 63372 3068 28 as as IN 63372 3068 29 to to TO 63372 3068 30 come come VB 63372 3068 31 back back RB 63372 3068 32 . . . 63372 3069 1 This this DT 63372 3069 2 means mean VBZ 63372 3069 3 that that IN 63372 3069 4 it -PRON- PRP 63372 3069 5 got get VBD 63372 3069 6 to to IN 63372 3069 7 $ $ $ 63372 3069 8 B$ B$ NNS 63372 3069 9 at at IN 63372 3069 10 1 1 CD 63372 3069 11 1/2 1/2 CD 63372 3069 12 minutes minute NNS 63372 3069 13 past past JJ 63372 3069 14 noon noon NN 63372 3069 15 by by IN 63372 3069 16 $ $ $ 63372 3069 17 A$ A$ NNP 63372 3069 18 's 's POS 63372 3069 19 clock clock NN 63372 3069 20 , , , 63372 3069 21 and and CC 63372 3069 22 that that IN 63372 3069 23 $ $ $ 63372 3069 24 B$ B$ NNP 63372 3069 25 's 's POS 63372 3069 26 clock clock NN 63372 3069 27 is be VBZ 63372 3069 28 slow slow RB 63372 3069 29 compared compare VBN 63372 3069 30 with with IN 63372 3069 31 $ $ $ 63372 3069 32 A$ A$ NNP 63372 3069 33 's 's POS 63372 3069 34 . . . 63372 3070 1 If if IN 63372 3070 2 they -PRON- PRP 63372 3070 3 should should MD 63372 3070 4 assume assume VB 63372 3070 5 that that IN 63372 3070 6 they -PRON- PRP 63372 3070 7 were be VBD 63372 3070 8 moving move VBG 63372 3070 9 with with IN 63372 3070 10 the the DT 63372 3070 11 same same JJ 63372 3070 12 speed speed NN 63372 3070 13 in in IN 63372 3070 14 the the DT 63372 3070 15 opposite opposite JJ 63372 3070 16 direction direction NN 63372 3070 17 , , , 63372 3070 18 they -PRON- PRP 63372 3070 19 would would MD 63372 3070 20 conclude conclude VB 63372 3070 21 that that IN 63372 3070 22 $ $ $ 63372 3070 23 B$ B$ NNP 63372 3070 24 's 's POS 63372 3070 25 clock clock NN 63372 3070 26 is be VBZ 63372 3070 27 half half PDT 63372 3070 28 a a DT 63372 3070 29 minute minute NN 63372 3070 30 fast fast NN 63372 3070 31 . . . 63372 3071 1 Hence hence RB 63372 3071 2 their -PRON- PRP$ 63372 3071 3 answer answer NN 63372 3071 4 to to IN 63372 3071 5 the the DT 63372 3071 6 question question NN 63372 3071 7 whether whether IN 63372 3071 8 two two CD 63372 3071 9 events event NNS 63372 3071 10 at at IN 63372 3071 11 different different JJ 63372 3071 12 places place NNS 63372 3071 13 happen happen VB 63372 3071 14 at at IN 63372 3071 15 the the DT 63372 3071 16 same same JJ 63372 3071 17 time time NN 63372 3071 18 , , , 63372 3071 19 or or CC 63372 3071 20 at at IN 63372 3071 21 different different JJ 63372 3071 22 times time NNS 63372 3071 23 , , , 63372 3071 24 will will MD 63372 3071 25 depend depend VB 63372 3071 26 on on IN 63372 3071 27 their -PRON- PRP$ 63372 3071 28 assumption assumption NN 63372 3071 29 about about IN 63372 3071 30 the the DT 63372 3071 31 motion motion NN 63372 3071 32 of of IN 63372 3071 33 the the DT 63372 3071 34 universe universe NN 63372 3071 35 as as IN 63372 3071 36 a a DT 63372 3071 37 whole whole NN 63372 3071 38 . . . 63372 3072 1 Once once RB 63372 3072 2 more more RBR 63372 3072 3 , , , 63372 3072 4 let let VB 63372 3072 5 us -PRON- PRP 63372 3072 6 suppose suppose VB 63372 3072 7 that that IN 63372 3072 8 $ $ $ 63372 3072 9 A$ a$ $ 63372 3072 10 and and CC 63372 3072 11 $ $ $ 63372 3072 12 B$ B$ NNP 63372 3072 13 , , , 63372 3072 14 with with IN 63372 3072 15 their -PRON- PRP$ 63372 3072 16 clocks clock NNS 63372 3072 17 and and CC 63372 3072 18 mirrors mirror NNS 63372 3072 19 , , , 63372 3072 20 are be VBP 63372 3072 21 in in IN 63372 3072 22 relative relative JJ 63372 3072 23 motion motion NN 63372 3072 24 , , , 63372 3072 25 with with IN 63372 3072 26 half half PDT 63372 3072 27 the the DT 63372 3072 28 speed speed NN 63372 3072 29 of of IN 63372 3072 30 light light NN 63372 3072 31 , , , 63372 3072 32 and and CC 63372 3072 33 pass pass VB 63372 3072 34 one one NN 63372 3072 35 another another DT 63372 3072 36 at at IN 63372 3072 37 noon noon NN 63372 3072 38 by by IN 63372 3072 39 both both DT 63372 3072 40 clocks clock NNS 63372 3072 41 . . . 63372 3073 1 At at IN 63372 3073 2 12:02 12:02 CD 63372 3073 3 by by IN 63372 3073 4 $ $ $ 63372 3073 5 A$ A$ NNP 63372 3073 6 's 's POS 63372 3073 7 clock clock NN 63372 3073 8 , , , 63372 3073 9 he -PRON- PRP 63372 3073 10 sends send VBZ 63372 3073 11 a a DT 63372 3073 12 flash flash NN 63372 3073 13 of of IN 63372 3073 14 light light NN 63372 3073 15 , , , 63372 3073 16 which which WDT 63372 3073 17 reaches reach VBZ 63372 3073 18 $ $ $ 63372 3073 19 B$ B$ NNS 63372 3073 20 at at IN 63372 3073 21 12:04 12:04 CD 63372 3073 22 by by IN 63372 3073 23 his -PRON- PRP$ 63372 3073 24 clock clock NN 63372 3073 25 , , , 63372 3073 26 is be VBZ 63372 3073 27 reflected reflect VBN 63372 3073 28 , , , 63372 3073 29 and and CC 63372 3073 30 gets get VBZ 63372 3073 31 back back RB 63372 3073 32 to to IN 63372 3073 33 $ $ $ 63372 3073 34 A$ A$ NNP 63372 3073 35 's 's POS 63372 3073 36 clock clock NN 63372 3073 37 at at IN 63372 3073 38 12:06 12:06 CD 63372 3073 39 . . . 63372 3074 1 They -PRON- PRP 63372 3074 2 signal signal VBP 63372 3074 3 these these DT 63372 3074 4 results result NNS 63372 3074 5 to to IN 63372 3074 6 each each DT 63372 3074 7 other other JJ 63372 3074 8 , , , 63372 3074 9 and and CC 63372 3074 10 sit sit VB 63372 3074 11 down down RP 63372 3074 12 to to TO 63372 3074 13 work work VB 63372 3074 14 them -PRON- PRP 63372 3074 15 out out RP 63372 3074 16 . . . 63372 3075 1 $ $ $ 63372 3075 2 A$ A$ NNP 63372 3075 3 thinks think VBZ 63372 3075 4 that that IN 63372 3075 5 he -PRON- PRP 63372 3075 6 is be VBZ 63372 3075 7 at at IN 63372 3075 8 rest rest NN 63372 3075 9 , , , 63372 3075 10 and and CC 63372 3075 11 $ $ $ 63372 3075 12 B$ B$ NNP 63372 3075 13 moving move VBG 63372 3075 14 . . . 63372 3076 1 He -PRON- PRP 63372 3076 2 therefore therefore RB 63372 3076 3 concludes conclude VBZ 63372 3076 4 that that IN 63372 3076 5 the the DT 63372 3076 6 light light NN 63372 3076 7 had have VBD 63372 3076 8 the the DT 63372 3076 9 same same JJ 63372 3076 10 distance distance NN 63372 3076 11 to to TO 63372 3076 12 go go VB 63372 3076 13 out out RP 63372 3076 14 as as IN 63372 3076 15 to to TO 63372 3076 16 return return VB 63372 3076 17 to to IN 63372 3076 18 him -PRON- PRP 63372 3076 19 and and CC 63372 3076 20 took take VBD 63372 3076 21 two two CD 63372 3076 22 seconds second NNS 63372 3076 23 each each DT 63372 3076 24 way way NN 63372 3076 25 , , , 63372 3076 26 reaching reach VBG 63372 3076 27 $ $ $ 63372 3076 28 B$ B$ NNS 63372 3076 29 at at IN 63372 3076 30 12:04 12:04 CD 63372 3076 31 by by IN 63372 3076 32 $ $ $ 63372 3076 33 A$ A$ NNP 63372 3076 34 's 's POS 63372 3076 35 clock clock NN 63372 3076 36 , , , 63372 3076 37 and and CC 63372 3076 38 that that IN 63372 3076 39 the the DT 63372 3076 40 two two CD 63372 3076 41 clocks clock NNS 63372 3076 42 , , , 63372 3076 43 which which WDT 63372 3076 44 agreed agree VBD 63372 3076 45 then then RB 63372 3076 46 , , , 63372 3076 47 as as RB 63372 3076 48 well well RB 63372 3076 49 as as IN 63372 3076 50 at at IN 63372 3076 51 noon noon NN 63372 3076 52 , , , 63372 3076 53 are be VBP 63372 3076 54 running run VBG 63372 3076 55 at at IN 63372 3076 56 the the DT 63372 3076 57 same same JJ 63372 3076 58 rate rate NN 63372 3076 59 . . . 63372 3077 1 $ $ $ 63372 3077 2 B$ B$ NNP 63372 3077 3 , , , 63372 3077 4 on on IN 63372 3077 5 the the DT 63372 3077 6 contrary contrary NN 63372 3077 7 , , , 63372 3077 8 thinks think VBZ 63372 3077 9 that that IN 63372 3077 10 he -PRON- PRP 63372 3077 11 is be VBZ 63372 3077 12 at at IN 63372 3077 13 rest rest NN 63372 3077 14 and and CC 63372 3077 15 $ $ $ 63372 3077 16 A$ a$ $ 63372 3077 17 in in IN 63372 3077 18 motion motion NN 63372 3077 19 . . . 63372 3078 1 He -PRON- PRP 63372 3078 2 then then RB 63372 3078 3 concludes conclude VBZ 63372 3078 4 that that IN 63372 3078 5 $ $ $ 63372 3078 6 A$ A$ NNP 63372 3078 7 was be VBD 63372 3078 8 much much JJ 63372 3078 9 nearer nearer NN 63372 3078 10 when when WRB 63372 3078 11 he -PRON- PRP 63372 3078 12 sent send VBD 63372 3078 13 out out RP 63372 3078 14 the the DT 63372 3078 15 flash flash NN 63372 3078 16 than than IN 63372 3078 17 when when WRB 63372 3078 18 he -PRON- PRP 63372 3078 19 got get VBD 63372 3078 20 it -PRON- PRP 63372 3078 21 back back RP 63372 3078 22 , , , 63372 3078 23 and and CC 63372 3078 24 that that IN 63372 3078 25 the the DT 63372 3078 26 light light NN 63372 3078 27 had have VBD 63372 3078 28 three three CD 63372 3078 29 times time NNS 63372 3078 30 as as RB 63372 3078 31 far far RB 63372 3078 32 to to TO 63372 3078 33 travel travel VB 63372 3078 34 on on IN 63372 3078 35 the the DT 63372 3078 36 return return NN 63372 3078 37 journey journey NN 63372 3078 38 . . . 63372 3079 1 This this DT 63372 3079 2 means mean VBZ 63372 3079 3 that that IN 63372 3079 4 it -PRON- PRP 63372 3079 5 was be VBD 63372 3079 6 12:03 12:03 CD 63372 3079 7 by by IN 63372 3079 8 $ $ $ 63372 3079 9 A$ A$ NNP 63372 3079 10 's 's POS 63372 3079 11 clock clock NN 63372 3079 12 at at IN 63372 3079 13 the the DT 63372 3079 14 instant instant NN 63372 3079 15 when when WRB 63372 3079 16 the the DT 63372 3079 17 light light NN 63372 3079 18 reached reach VBD 63372 3079 19 $ $ $ 63372 3079 20 B$ B$ NNS 63372 3079 21 and and CC 63372 3079 22 $ $ $ 63372 3079 23 B$ B$ NNP 63372 3079 24 's 's POS 63372 3079 25 clock clock NN 63372 3079 26 read read VBD 63372 3079 27 12:04 12:04 CD 63372 3079 28 . . . 63372 3080 1 Hence hence RB 63372 3080 2 $ $ $ 63372 3080 3 A$ A$ NNP 63372 3080 4 's 's POS 63372 3080 5 clock clock NN 63372 3080 6 is be VBZ 63372 3080 7 running run VBG 63372 3080 8 slow slow JJ 63372 3080 9 , , , 63372 3080 10 compared compare VBN 63372 3080 11 with with IN 63372 3080 12 $ $ $ 63372 3080 13 B$ B$ NNP 63372 3080 14 's 's POS 63372 3080 15 . . . 63372 3081 1 Hence hence RB 63372 3081 2 the the DT 63372 3081 3 answer answer NN 63372 3081 4 to to IN 63372 3081 5 the the DT 63372 3081 6 question question NN 63372 3081 7 whether whether IN 63372 3081 8 two two CD 63372 3081 9 intervals interval NNS 63372 3081 10 of of IN 63372 3081 11 time time NN 63372 3081 12 , , , 63372 3081 13 measured measure VBN 63372 3081 14 by by IN 63372 3081 15 observers observer NNS 63372 3081 16 who who WP 63372 3081 17 are be VBP 63372 3081 18 in in IN 63372 3081 19 motion motion NN 63372 3081 20 relative relative JJ 63372 3081 21 to to IN 63372 3081 22 one one CD 63372 3081 23 another another DT 63372 3081 24 , , , 63372 3081 25 are be VBP 63372 3081 26 of of IN 63372 3081 27 the the DT 63372 3081 28 same same JJ 63372 3081 29 or or CC 63372 3081 30 of of IN 63372 3081 31 different different JJ 63372 3081 32 durations duration NNS 63372 3081 33 , , , 63372 3081 34 depends depend VBZ 63372 3081 35 upon upon IN 63372 3081 36 their -PRON- PRP$ 63372 3081 37 assumptions assumption NNS 63372 3081 38 about about IN 63372 3081 39 the the DT 63372 3081 40 motion motion NN 63372 3081 41 of of IN 63372 3081 42 the the DT 63372 3081 43 universe universe NN 63372 3081 44 as as IN 63372 3081 45 a a DT 63372 3081 46 whole whole NN 63372 3081 47 . . . 63372 3082 1 Now now RB 63372 3082 2 we -PRON- PRP 63372 3082 3 must must MD 63372 3082 4 remember remember VB 63372 3082 5 that that IN 63372 3082 6 one one CD 63372 3082 7 assumption assumption NN 63372 3082 8 about about IN 63372 3082 9 the the DT 63372 3082 10 motion motion NN 63372 3082 11 of of IN 63372 3082 12 the the DT 63372 3082 13 universe universe NN 63372 3082 14 as as IN 63372 3082 15 a a DT 63372 3082 16 whole whole NN 63372 3082 17 is be VBZ 63372 3082 18 exactly exactly RB 63372 3082 19 as as RB 63372 3082 20 good good JJ 63372 3082 21 -- -- : 63372 3082 22 or or CC 63372 3082 23 bad bad JJ 63372 3082 24 -- -- : 63372 3082 25 as as IN 63372 3082 26 another another DT 63372 3082 27 . . . 63372 3083 1 No no DT 63372 3083 2 possible possible JJ 63372 3083 3 experiment experiment NN 63372 3083 4 can can MD 63372 3083 5 distinguish distinguish VB 63372 3083 6 between between IN 63372 3083 7 them -PRON- PRP 63372 3083 8 . . . 63372 3084 1 Hence hence RB 63372 3084 2 on on IN 63372 3084 3 the the DT 63372 3084 4 Principle Principle NNP 63372 3084 5 of of IN 63372 3084 6 Relativity Relativity NNP 63372 3084 7 , , , 63372 3084 8 we -PRON- PRP 63372 3084 9 have have VBP 63372 3084 10 left leave VBN 63372 3084 11 no no DT 63372 3084 12 absolute absolute JJ 63372 3084 13 measurement measurement NN 63372 3084 14 of of IN 63372 3084 15 time time NN 63372 3084 16 or or CC 63372 3084 17 space space NN 63372 3084 18 . . . 63372 3085 1 Whether whether IN 63372 3085 2 two two CD 63372 3085 3 distances distance NNS 63372 3085 4 in in IN 63372 3085 5 different different JJ 63372 3085 6 directions direction NNS 63372 3085 7 are be VBP 63372 3085 8 to to TO 63372 3085 9 be be VB 63372 3085 10 called call VBN 63372 3085 11 equal equal JJ 63372 3085 12 or or CC 63372 3085 13 not not RB 63372 3085 14 -- -- : 63372 3085 15 whether whether IN 63372 3085 16 two two CD 63372 3085 17 events event NNS 63372 3085 18 in in IN 63372 3085 19 different different JJ 63372 3085 20 places place NNS 63372 3085 21 are be VBP 63372 3085 22 to to TO 63372 3085 23 be be VB 63372 3085 24 called call VBN 63372 3085 25 simultaneous simultaneous JJ 63372 3085 26 or or CC 63372 3085 27 not not RB 63372 3085 28 -- -- : 63372 3085 29 depends depend VBZ 63372 3085 30 on on IN 63372 3085 31 our -PRON- PRP$ 63372 3085 32 arbitrary arbitrary JJ 63372 3085 33 choice choice NN 63372 3085 34 of of IN 63372 3085 35 such such PDT 63372 3085 36 an an DT 63372 3085 37 assumption assumption NN 63372 3085 38 , , , 63372 3085 39 or or CC 63372 3085 40 " " `` 63372 3085 41 frame frame NN 63372 3085 42 of of IN 63372 3085 43 reference reference NN 63372 3085 44 . . . 63372 3085 45 " " '' 63372 3086 1 All all PDT 63372 3086 2 the the DT 63372 3086 3 various various JJ 63372 3086 4 schemes scheme NNS 63372 3086 5 of of IN 63372 3086 6 measurement measurement NN 63372 3086 7 corresponding correspond VBG 63372 3086 8 to to IN 63372 3086 9 these these DT 63372 3086 10 assumptions assumption NNS 63372 3086 11 will will MD 63372 3086 12 , , , 63372 3086 13 when when WRB 63372 3086 14 applied apply VBN 63372 3086 15 to to IN 63372 3086 16 any any DT 63372 3086 17 imaginable imaginable JJ 63372 3086 18 experiment experiment NN 63372 3086 19 , , , 63372 3086 20 predict predict VBP 63372 3086 21 exactly exactly RB 63372 3086 22 the the DT 63372 3086 23 same same JJ 63372 3086 24 phenomena phenomena NN 63372 3086 25 . . . 63372 3087 1 But but CC 63372 3087 2 , , , 63372 3087 3 in in IN 63372 3087 4 certain certain JJ 63372 3087 5 important important JJ 63372 3087 6 cases case NNS 63372 3087 7 , , , 63372 3087 8 these these DT 63372 3087 9 predictions prediction NNS 63372 3087 10 differ differ VBP 63372 3087 11 from from IN 63372 3087 12 those those DT 63372 3087 13 of of IN 63372 3087 14 the the DT 63372 3087 15 old old JJ 63372 3087 16 familiar familiar JJ 63372 3087 17 theory theory NN 63372 3087 18 , , , 63372 3087 19 and and CC 63372 3087 20 , , , 63372 3087 21 every every DT 63372 3087 22 time time NN 63372 3087 23 that that WDT 63372 3087 24 such such JJ 63372 3087 25 experiments experiment NNS 63372 3087 26 have have VBP 63372 3087 27 been be VBN 63372 3087 28 tried try VBN 63372 3087 29 , , , 63372 3087 30 the the DT 63372 3087 31 result result NN 63372 3087 32 has have VBZ 63372 3087 33 agreed agree VBN 63372 3087 34 with with IN 63372 3087 35 the the DT 63372 3087 36 new new JJ 63372 3087 37 theory theory NN 63372 3087 38 , , , 63372 3087 39 and and CC 63372 3087 40 not not RB 63372 3087 41 with with IN 63372 3087 42 the the DT 63372 3087 43 old old JJ 63372 3087 44 . . . 63372 3088 1 We -PRON- PRP 63372 3088 2 are be VBP 63372 3088 3 therefore therefore RB 63372 3088 4 driven drive VBN 63372 3088 5 to to TO 63372 3088 6 accept accept VB 63372 3088 7 the the DT 63372 3088 8 theory theory NN 63372 3088 9 of of IN 63372 3088 10 relativity relativity NN 63372 3088 11 , , , 63372 3088 12 strange strange JJ 63372 3088 13 as as IN 63372 3088 14 it -PRON- PRP 63372 3088 15 is be VBZ 63372 3088 16 , , , 63372 3088 17 as as IN 63372 3088 18 being be VBG 63372 3088 19 more more RBR 63372 3088 20 nearly nearly RB 63372 3088 21 " " `` 63372 3088 22 true true JJ 63372 3088 23 to to IN 63372 3088 24 nature nature NN 63372 3088 25 " " '' 63372 3088 26 than than IN 63372 3088 27 our -PRON- PRP$ 63372 3088 28 older old JJR 63372 3088 29 ideas idea NNS 63372 3088 30 . . . 63372 3089 1 Fortunately fortunately RB 63372 3089 2 , , , 63372 3089 3 the the DT 63372 3089 4 difference difference NN 63372 3089 5 between between IN 63372 3089 6 the the DT 63372 3089 7 results result NNS 63372 3089 8 of of IN 63372 3089 9 the the DT 63372 3089 10 two two CD 63372 3089 11 become become VBN 63372 3089 12 important important JJ 63372 3089 13 only only RB 63372 3089 14 when when WRB 63372 3089 15 we -PRON- PRP 63372 3089 16 assume assume VBP 63372 3089 17 that that IN 63372 3089 18 the the DT 63372 3089 19 whole whole JJ 63372 3089 20 visible visible JJ 63372 3089 21 universe universe NN 63372 3089 22 is be VBZ 63372 3089 23 moving move VBG 63372 3089 24 together together RB 63372 3089 25 much much RB 63372 3089 26 faster fast RBR 63372 3089 27 than than IN 63372 3089 28 any any DT 63372 3089 29 of of IN 63372 3089 30 its -PRON- PRP$ 63372 3089 31 parts part NNS 63372 3089 32 are be VBP 63372 3089 33 moving move VBG 63372 3089 34 relatively relatively RB 63372 3089 35 to to IN 63372 3089 36 one one CD 63372 3089 37 another another DT 63372 3089 38 . . . 63372 3090 1 Unless unless IN 63372 3090 2 we -PRON- PRP 63372 3090 3 make make VBP 63372 3090 4 such such PDT 63372 3090 5 an an DT 63372 3090 6 unwarranted unwarranted JJ 63372 3090 7 assumption assumption NN 63372 3090 8 , , , 63372 3090 9 the the DT 63372 3090 10 differences difference NNS 63372 3090 11 are be VBP 63372 3090 12 so so RB 63372 3090 13 small small JJ 63372 3090 14 that that IN 63372 3090 15 it -PRON- PRP 63372 3090 16 takes take VBZ 63372 3090 17 the the DT 63372 3090 18 most most RBS 63372 3090 19 ingenious ingenious JJ 63372 3090 20 and and CC 63372 3090 21 precise precise JJ 63372 3090 22 experiments experiment NNS 63372 3090 23 to to TO 63372 3090 24 reveal reveal VB 63372 3090 25 them -PRON- PRP 63372 3090 26 . . . 63372 3091 1 THE the DT 63372 3091 2 GENERALIZATION generalization NN 63372 3091 3 Not not RB 63372 3091 4 content content JJ 63372 3091 5 with with IN 63372 3091 6 all all PDT 63372 3091 7 this this DT 63372 3091 8 , , , 63372 3091 9 Einstein Einstein NNP 63372 3091 10 proceeded proceed VBD 63372 3091 11 , , , 63372 3091 12 a a DT 63372 3091 13 few few JJ 63372 3091 14 years year NNS 63372 3091 15 ago ago RB 63372 3091 16 , , , 63372 3091 17 to to TO 63372 3091 18 develop develop VB 63372 3091 19 a a DT 63372 3091 20 " " `` 63372 3091 21 general general JJ 63372 3091 22 " " '' 63372 3091 23 theory theory NN 63372 3091 24 of of IN 63372 3091 25 relativity relativity NN 63372 3091 26 , , , 63372 3091 27 which which WDT 63372 3091 28 includes include VBZ 63372 3091 29 the the DT 63372 3091 30 effects effect NNS 63372 3091 31 of of IN 63372 3091 32 gravitation gravitation NN 63372 3091 33 . . . 63372 3092 1 To to TO 63372 3092 2 make make VB 63372 3092 3 this this DT 63372 3092 4 idea idea NN 63372 3092 5 clear clear JJ 63372 3092 6 , , , 63372 3092 7 let let VB 63372 3092 8 us -PRON- PRP 63372 3092 9 imagine imagine VB 63372 3092 10 two two CD 63372 3092 11 observers observer NNS 63372 3092 12 , , , 63372 3092 13 each each DT 63372 3092 14 , , , 63372 3092 15 with with IN 63372 3092 16 his -PRON- PRP$ 63372 3092 17 measuring measure VBG 63372 3092 18 instruments instrument NNS 63372 3092 19 , , , 63372 3092 20 in in IN 63372 3092 21 a a DT 63372 3092 22 large large JJ 63372 3092 23 and and CC 63372 3092 24 perfectly perfectly RB 63372 3092 25 impervious impervious JJ 63372 3092 26 box box NN 63372 3092 27 , , , 63372 3092 28 which which WDT 63372 3092 29 forms form VBZ 63372 3092 30 his -PRON- PRP$ 63372 3092 31 " " `` 63372 3092 32 closed closed JJ 63372 3092 33 system system NN 63372 3092 34 . . . 63372 3092 35 " " '' 63372 3093 1 The the DT 63372 3093 2 first first JJ 63372 3093 3 observer observer NN 63372 3093 4 , , , 63372 3093 5 with with IN 63372 3093 6 his -PRON- PRP$ 63372 3093 7 box box NN 63372 3093 8 and and CC 63372 3093 9 its -PRON- PRP$ 63372 3093 10 contents content NNS 63372 3093 11 , , , 63372 3093 12 alone alone RB 63372 3093 13 in in IN 63372 3093 14 space space NN 63372 3093 15 , , , 63372 3093 16 is be VBZ 63372 3093 17 entirely entirely RB 63372 3093 18 at at IN 63372 3093 19 rest rest NN 63372 3093 20 . . . 63372 3094 1 The the DT 63372 3094 2 second second JJ 63372 3094 3 observer observer NN 63372 3094 4 , , , 63372 3094 5 with with IN 63372 3094 6 his -PRON- PRP$ 63372 3094 7 box box NN 63372 3094 8 and and CC 63372 3094 9 its -PRON- PRP$ 63372 3094 10 contents content NNS 63372 3094 11 , , , 63372 3094 12 is be VBZ 63372 3094 13 , , , 63372 3094 14 it -PRON- PRP 63372 3094 15 may may MD 63372 3094 16 be be VB 63372 3094 17 imagined imagine VBN 63372 3094 18 , , , 63372 3094 19 near near IN 63372 3094 20 the the DT 63372 3094 21 earth earth NN 63372 3094 22 or or CC 63372 3094 23 the the DT 63372 3094 24 sun sun NN 63372 3094 25 or or CC 63372 3094 26 some some DT 63372 3094 27 star star NN 63372 3094 28 , , , 63372 3094 29 and and CC 63372 3094 30 falling fall VBG 63372 3094 31 freely freely RB 63372 3094 32 under under IN 63372 3094 33 the the DT 63372 3094 34 influence influence NN 63372 3094 35 of of IN 63372 3094 36 its -PRON- PRP$ 63372 3094 37 gravitation gravitation NN 63372 3094 38 . . . 63372 3095 1 This this DT 63372 3095 2 second second JJ 63372 3095 3 box box NN 63372 3095 4 and and CC 63372 3095 5 its -PRON- PRP$ 63372 3095 6 contents content NNS 63372 3095 7 , , , 63372 3095 8 including include VBG 63372 3095 9 the the DT 63372 3095 10 observer observer NN 63372 3095 11 , , , 63372 3095 12 will will MD 63372 3095 13 then then RB 63372 3095 14 fall fall VB 63372 3095 15 under under IN 63372 3095 16 the the DT 63372 3095 17 gravitational gravitational JJ 63372 3095 18 force force NN 63372 3095 19 , , , 63372 3095 20 that that RB 63372 3095 21 is is RB 63372 3095 22 , , , 63372 3095 23 get get VB 63372 3095 24 up up RP 63372 3095 25 an an DT 63372 3095 26 ever ever RB 63372 3095 27 - - HYPH 63372 3095 28 increasing increase VBG 63372 3095 29 speed speed NN 63372 3095 30 , , , 63372 3095 31 but but CC 63372 3095 32 at at IN 63372 3095 33 exactly exactly RB 63372 3095 34 the the DT 63372 3095 35 same same JJ 63372 3095 36 rate rate NN 63372 3095 37 , , , 63372 3095 38 so so IN 63372 3095 39 that that IN 63372 3095 40 there there EX 63372 3095 41 will will MD 63372 3095 42 be be VB 63372 3095 43 no no DT 63372 3095 44 tendency tendency NN 63372 3095 45 for for IN 63372 3095 46 their -PRON- PRP$ 63372 3095 47 relative relative JJ 63372 3095 48 positions position NNS 63372 3095 49 to to TO 63372 3095 50 be be VB 63372 3095 51 altered alter VBN 63372 3095 52 . . . 63372 3096 1 According accord VBG 63372 3096 2 to to IN 63372 3096 3 Newton Newton NNP 63372 3096 4 's 's POS 63372 3096 5 principles principle NNS 63372 3096 6 , , , 63372 3096 7 this this DT 63372 3096 8 will will MD 63372 3096 9 make make VB 63372 3096 10 not not RB 63372 3096 11 the the DT 63372 3096 12 slightest slight JJS 63372 3096 13 difference difference NN 63372 3096 14 in in IN 63372 3096 15 the the DT 63372 3096 16 motions motion NNS 63372 3096 17 of of IN 63372 3096 18 the the DT 63372 3096 19 physical physical JJ 63372 3096 20 objects object NNS 63372 3096 21 comprising comprise VBG 63372 3096 22 the the DT 63372 3096 23 system system NN 63372 3096 24 or or CC 63372 3096 25 their -PRON- PRP$ 63372 3096 26 attractions attraction NNS 63372 3096 27 on on IN 63372 3096 28 one one CD 63372 3096 29 another another DT 63372 3096 30 , , , 63372 3096 31 so so IN 63372 3096 32 that that IN 63372 3096 33 no no DT 63372 3096 34 dynamical dynamical JJ 63372 3096 35 experiment experiment NN 63372 3096 36 can can MD 63372 3096 37 distinguish distinguish VB 63372 3096 38 between between IN 63372 3096 39 the the DT 63372 3096 40 condition condition NN 63372 3096 41 of of IN 63372 3096 42 the the DT 63372 3096 43 freely freely RB 63372 3096 44 falling fall VBG 63372 3096 45 observer observer NN 63372 3096 46 in in IN 63372 3096 47 the the DT 63372 3096 48 second second JJ 63372 3096 49 box box NN 63372 3096 50 and and CC 63372 3096 51 the the DT 63372 3096 52 observer observer NN 63372 3096 53 at at IN 63372 3096 54 rest rest NN 63372 3096 55 in in IN 63372 3096 56 the the DT 63372 3096 57 first first JJ 63372 3096 58 . . . 63372 3097 1 But but CC 63372 3097 2 once once RB 63372 3097 3 more more JJR 63372 3097 4 the the DT 63372 3097 5 question question NN 63372 3097 6 arises arise VBZ 63372 3097 7 : : : 63372 3097 8 What what WP 63372 3097 9 could could MD 63372 3097 10 be be VB 63372 3097 11 done do VBN 63372 3097 12 by by IN 63372 3097 13 an an DT 63372 3097 14 optical optical JJ 63372 3097 15 experiment experiment NN 63372 3097 16 ? ? . 63372 3098 1 Einstein Einstein NNP 63372 3098 2 assumed assume VBD 63372 3098 3 that that IN 63372 3098 4 the the DT 63372 3098 5 principle principle NN 63372 3098 6 of of IN 63372 3098 7 relativity relativity NN 63372 3098 8 still still RB 63372 3098 9 applied apply VBD 63372 3098 10 in in IN 63372 3098 11 this this DT 63372 3098 12 case case NN 63372 3098 13 , , , 63372 3098 14 so so IN 63372 3098 15 that that IN 63372 3098 16 it -PRON- PRP 63372 3098 17 would would MD 63372 3098 18 be be VB 63372 3098 19 impossible impossible JJ 63372 3098 20 to to TO 63372 3098 21 distinguish distinguish VB 63372 3098 22 between between IN 63372 3098 23 the the DT 63372 3098 24 conditions condition NNS 63372 3098 25 of of IN 63372 3098 26 the the DT 63372 3098 27 observers observer NNS 63372 3098 28 in in IN 63372 3098 29 the the DT 63372 3098 30 two two CD 63372 3098 31 boxes box NNS 63372 3098 32 by by IN 63372 3098 33 any any DT 63372 3098 34 optical optical JJ 63372 3098 35 experiment experiment NN 63372 3098 36 . . . 63372 3099 1 It -PRON- PRP 63372 3099 2 can can MD 63372 3099 3 easily easily RB 63372 3099 4 be be VB 63372 3099 5 seen see VBN 63372 3099 6 that that IN 63372 3099 7 it -PRON- PRP 63372 3099 8 follows follow VBZ 63372 3099 9 from from IN 63372 3099 10 this this DT 63372 3099 11 new new JJ 63372 3099 12 generalized generalize VBN 63372 3099 13 relativity relativity NN 63372 3099 14 that that WDT 63372 3099 15 light light NN 63372 3099 16 can can MD 63372 3099 17 not not RB 63372 3099 18 travel travel VB 63372 3099 19 in in IN 63372 3099 20 a a DT 63372 3099 21 straight straight JJ 63372 3099 22 line line NN 63372 3099 23 in in IN 63372 3099 24 a a DT 63372 3099 25 gravitational gravitational JJ 63372 3099 26 field field NN 63372 3099 27 . . . 63372 3100 1 Imagine imagine VB 63372 3100 2 that that IN 63372 3100 3 the the DT 63372 3100 4 first first JJ 63372 3100 5 observer observer NN 63372 3100 6 sets set VBZ 63372 3100 7 up up RP 63372 3100 8 three three CD 63372 3100 9 slits slit NNS 63372 3100 10 , , , 63372 3100 11 all all RB 63372 3100 12 in in IN 63372 3100 13 a a DT 63372 3100 14 straight straight JJ 63372 3100 15 line line NN 63372 3100 16 . . . 63372 3101 1 A a DT 63372 3101 2 ray ray NN 63372 3101 3 of of IN 63372 3101 4 light light NN 63372 3101 5 which which WDT 63372 3101 6 passes pass VBZ 63372 3101 7 through through IN 63372 3101 8 the the DT 63372 3101 9 first first JJ 63372 3101 10 and and CC 63372 3101 11 second second JJ 63372 3101 12 will will MD 63372 3101 13 obviously obviously RB 63372 3101 14 pass pass VB 63372 3101 15 exactly exactly RB 63372 3101 16 through through IN 63372 3101 17 the the DT 63372 3101 18 third third NN 63372 3101 19 . . . 63372 3102 1 Suppose suppose VB 63372 3102 2 the the DT 63372 3102 3 observer observer NN 63372 3102 4 in in IN 63372 3102 5 the the DT 63372 3102 6 freely freely RB 63372 3102 7 falling fall VBG 63372 3102 8 system system NN 63372 3102 9 attempts attempt VBZ 63372 3102 10 the the DT 63372 3102 11 same same JJ 63372 3102 12 experiment experiment NN 63372 3102 13 , , , 63372 3102 14 having have VBG 63372 3102 15 his -PRON- PRP$ 63372 3102 16 slits slit NNS 63372 3102 17 $ $ $ 63372 3102 18 P$ p$ CD 63372 3102 19 , , , 63372 3102 20 $ $ $ 63372 3102 21 Q$ Q$ NNP 63372 3102 22 , , , 63372 3102 23 $ $ $ 63372 3102 24 R$ r$ XX 63372 3102 25 , , , 63372 3102 26 equally equally RB 63372 3102 27 spaced space VBN 63372 3102 28 , , , 63372 3102 29 and and CC 63372 3102 30 placing place VBG 63372 3102 31 them -PRON- PRP 63372 3102 32 at at IN 63372 3102 33 right right JJ 63372 3102 34 angles angle NNS 63372 3102 35 to to IN 63372 3102 36 the the DT 63372 3102 37 direction direction NN 63372 3102 38 in in IN 63372 3102 39 which which WDT 63372 3102 40 he -PRON- PRP 63372 3102 41 is be VBZ 63372 3102 42 falling fall VBG 63372 3102 43 . . . 63372 3103 1 When when WRB 63372 3103 2 the the DT 63372 3103 3 light light NN 63372 3103 4 passes pass VBZ 63372 3103 5 through through IN 63372 3103 6 $ $ $ 63372 3103 7 P$ p$ CD 63372 3103 8 , , , 63372 3103 9 the the DT 63372 3103 10 slits slit NNS 63372 3103 11 will will MD 63372 3103 12 be be VB 63372 3103 13 in in IN 63372 3103 14 certain certain JJ 63372 3103 15 position position NN 63372 3103 16 $ $ $ 63372 3103 17 P_1 p_1 NN 63372 3103 18 Q_1 Q_1 NNP 63372 3103 19 R_1 r_1 VB 63372 3103 20 $ $ $ 63372 3103 21 ( ( -LRB- 63372 3103 22 Figure figure NN 63372 3103 23 ) ) -RRB- 63372 3103 24 . . . 63372 3104 1 By by IN 63372 3104 2 the the DT 63372 3104 3 time time NN 63372 3104 4 it -PRON- PRP 63372 3104 5 reaches reach VBZ 63372 3104 6 $ $ $ 63372 3104 7 Q$ Q$ NNP 63372 3104 8 , , , 63372 3104 9 they -PRON- PRP 63372 3104 10 will will MD 63372 3104 11 have have VB 63372 3104 12 fallen fall VBN 63372 3104 13 to to IN 63372 3104 14 a a DT 63372 3104 15 lower low JJR 63372 3104 16 level level NN 63372 3104 17 , , , 63372 3104 18 $ $ $ 63372 3104 19 P_2 P_2 NNP 63372 3104 20 Q_2 Q_2 NNP 63372 3104 21 R_2 r_2 VB 63372 3104 22 $ $ $ 63372 3104 23 , , , 63372 3104 24 and and CC 63372 3104 25 when when WRB 63372 3104 26 it -PRON- PRP 63372 3104 27 reaches reach VBZ 63372 3104 28 $ $ $ 63372 3104 29 R$ r$ XX 63372 3104 30 , , , 63372 3104 31 they -PRON- PRP 63372 3104 32 will will MD 63372 3104 33 be be VB 63372 3104 34 still still RB 63372 3104 35 lower low JJR 63372 3104 36 , , , 63372 3104 37 $ $ $ 63372 3104 38 P_3 P_3 NNP 63372 3104 39 Q_3 Q_3 . 63372 3104 40 R_3$. r_3$. ADD 63372 3105 1 The the DT 63372 3105 2 times time NNS 63372 3105 3 which which WDT 63372 3105 4 the the DT 63372 3105 5 light light NN 63372 3105 6 takes take VBZ 63372 3105 7 to to TO 63372 3105 8 move move VB 63372 3105 9 from from IN 63372 3105 10 $ $ $ 63372 3105 11 P$ p$ CD 63372 3105 12 to to TO 63372 3105 13 $ $ $ 63372 3105 14 Q$ q$ NN 63372 3105 15 and and CC 63372 3105 16 $ $ $ 63372 3105 17 Q$ q$ NN 63372 3105 18 to to IN 63372 3105 19 $ $ $ 63372 3105 20 R$ r$ NN 63372 3105 21 will will MD 63372 3105 22 be be VB 63372 3105 23 the the DT 63372 3105 24 same same JJ 63372 3105 25 : : : 63372 3105 26 but but CC 63372 3105 27 , , , 63372 3105 28 since since IN 63372 3105 29 the the DT 63372 3105 30 system system NN 63372 3105 31 is be VBZ 63372 3105 32 falling fall VBG 63372 3105 33 ever ever RB 63372 3105 34 faster fast RBR 63372 3105 35 and and CC 63372 3105 36 faster fast RBR 63372 3105 37 the the DT 63372 3105 38 distance distance NN 63372 3105 39 $ $ $ 63372 3105 40 R_2 r_2 NN 63372 3105 41 R_3 r_3 VB 63372 3105 42 $ $ $ 63372 3105 43 will will MD 63372 3105 44 be be VB 63372 3105 45 greater great JJR 63372 3105 46 than than IN 63372 3105 47 $ $ $ 63372 3105 48 Q_1 Q_1 NNP 63372 3105 49 Q_2$. q_2$. ADD 63372 3106 1 Hence hence RB 63372 3106 2 , , , 63372 3106 3 if if IN 63372 3106 4 the the DT 63372 3106 5 light light NN 63372 3106 6 which which WDT 63372 3106 7 has have VBZ 63372 3106 8 passed pass VBN 63372 3106 9 through through IN 63372 3106 10 $ $ $ 63372 3106 11 P$ p$ CD 63372 3106 12 and and CC 63372 3106 13 $ $ $ 63372 3106 14 Q$ q$ NN 63372 3106 15 moves move NNS 63372 3106 16 in in IN 63372 3106 17 a a DT 63372 3106 18 straight straight JJ 63372 3106 19 line line NN 63372 3106 20 , , , 63372 3106 21 it -PRON- PRP 63372 3106 22 will will MD 63372 3106 23 strike strike VB 63372 3106 24 above above IN 63372 3106 25 $ $ $ 63372 3106 26 R$ r$ XX 63372 3106 27 , , , 63372 3106 28 as as IN 63372 3106 29 is be VBZ 63372 3106 30 illustrated illustrate VBN 63372 3106 31 by by IN 63372 3106 32 the the DT 63372 3106 33 straight straight JJ 63372 3106 34 line line NN 63372 3106 35 in in IN 63372 3106 36 the the DT 63372 3106 37 figure figure NN 63372 3106 38 . . . 63372 3107 1 But but CC 63372 3107 2 , , , 63372 3107 3 on on IN 63372 3107 4 Einstein Einstein NNP 63372 3107 5 's 's POS 63372 3107 6 assumption assumption NN 63372 3107 7 , , , 63372 3107 8 the the DT 63372 3107 9 light light NN 63372 3107 10 must must MD 63372 3107 11 go go VB 63372 3107 12 through through IN 63372 3107 13 the the DT 63372 3107 14 third third JJ 63372 3107 15 slit slit NN 63372 3107 16 , , , 63372 3107 17 as as IN 63372 3107 18 it -PRON- PRP 63372 3107 19 would would MD 63372 3107 20 do do VB 63372 3107 21 in in IN 63372 3107 22 the the DT 63372 3107 23 system system NN 63372 3107 24 at at IN 63372 3107 25 rest rest NN 63372 3107 26 , , , 63372 3107 27 and and CC 63372 3107 28 must must MD 63372 3107 29 therefore therefore RB 63372 3107 30 move move VB 63372 3107 31 in in IN 63372 3107 32 a a DT 63372 3107 33 curved curved JJ 63372 3107 34 line line NN 63372 3107 35 , , , 63372 3107 36 like like IN 63372 3107 37 the the DT 63372 3107 38 curved curved JJ 63372 3107 39 line line NN 63372 3107 40 in in IN 63372 3107 41 the the DT 63372 3107 42 figure figure NN 63372 3107 43 , , , 63372 3107 44 and and CC 63372 3107 45 bend bend VB 63372 3107 46 downward downward RB 63372 3107 47 in in IN 63372 3107 48 the the DT 63372 3107 49 direction direction NN 63372 3107 50 of of IN 63372 3107 51 the the DT 63372 3107 52 gravitational gravitational JJ 63372 3107 53 force force NN 63372 3107 54 . . . 63372 3108 1 THE the DT 63372 3108 2 TESTS TESTS NNP 63372 3108 3 Calculation Calculation NNP 63372 3108 4 shows show VBZ 63372 3108 5 that that IN 63372 3108 6 the the DT 63372 3108 7 deviation deviation NN 63372 3108 8 of of IN 63372 3108 9 light light NN 63372 3108 10 by by IN 63372 3108 11 the the DT 63372 3108 12 moon moon NN 63372 3108 13 or or CC 63372 3108 14 planets planet NNS 63372 3108 15 would would MD 63372 3108 16 be be VB 63372 3108 17 too too RB 63372 3108 18 small small JJ 63372 3108 19 to to TO 63372 3108 20 detect detect VB 63372 3108 21 . . . 63372 3109 1 But but CC 63372 3109 2 for for IN 63372 3109 3 a a DT 63372 3109 4 ray ray NN 63372 3109 5 which which WDT 63372 3109 6 had have VBD 63372 3109 7 passed pass VBN 63372 3109 8 near near IN 63372 3109 9 the the DT 63372 3109 10 sun sun NN 63372 3109 11 , , , 63372 3109 12 the the DT 63372 3109 13 deflection deflection NN 63372 3109 14 comes come VBZ 63372 3109 15 out out RP 63372 3109 16 1.7 1.7 CD 63372 3109 17 ' ' NNS 63372 3109 18 ' ' '' 63372 3109 19 , , , 63372 3109 20 which which WDT 63372 3109 21 the the DT 63372 3109 22 modern modern JJ 63372 3109 23 astronomer astronomer NN 63372 3109 24 regards regard VBZ 63372 3109 25 as as IN 63372 3109 26 a a DT 63372 3109 27 large large JJ 63372 3109 28 quantity quantity NN 63372 3109 29 , , , 63372 3109 30 easy easy JJ 63372 3109 31 to to TO 63372 3109 32 measure measure VB 63372 3109 33 . . . 63372 3110 1 Observations observation NNS 63372 3110 2 to to TO 63372 3110 3 test test VB 63372 3110 4 this this DT 63372 3110 5 can can MD 63372 3110 6 be be VB 63372 3110 7 made make VBN 63372 3110 8 only only RB 63372 3110 9 at at IN 63372 3110 10 a a DT 63372 3110 11 total total JJ 63372 3110 12 eclipse eclipse NN 63372 3110 13 , , , 63372 3110 14 when when WRB 63372 3110 15 we -PRON- PRP 63372 3110 16 can can MD 63372 3110 17 photograph photograph VB 63372 3110 18 stars star NNS 63372 3110 19 near near IN 63372 3110 20 the the DT 63372 3110 21 sun sun NN 63372 3110 22 , , , 63372 3110 23 on on IN 63372 3110 24 a a DT 63372 3110 25 nearly nearly RB 63372 3110 26 dark dark JJ 63372 3110 27 sky sky NN 63372 3110 28 . . . 63372 3111 1 A a DT 63372 3111 2 very very RB 63372 3111 3 fine fine JJ 63372 3111 4 chance chance NN 63372 3111 5 came come VBD 63372 3111 6 in in IN 63372 3111 7 May May NNP 63372 3111 8 , , , 63372 3111 9 1919 1919 CD 63372 3111 10 , , , 63372 3111 11 and and CC 63372 3111 12 two two CD 63372 3111 13 English english JJ 63372 3111 14 expeditions expedition NNS 63372 3111 15 were be VBD 63372 3111 16 sent send VBN 63372 3111 17 to to IN 63372 3111 18 Brazil Brazil NNP 63372 3111 19 and and CC 63372 3111 20 the the DT 63372 3111 21 African african JJ 63372 3111 22 coast coast NN 63372 3111 23 . . . 63372 3112 1 These these DT 63372 3112 2 photographs photograph NNS 63372 3112 3 were be VBD 63372 3112 4 measured measure VBN 63372 3112 5 with with IN 63372 3112 6 extreme extreme JJ 63372 3112 7 care care NN 63372 3112 8 , , , 63372 3112 9 and and CC 63372 3112 10 they -PRON- PRP 63372 3112 11 show show VBP 63372 3112 12 that that IN 63372 3112 13 the the DT 63372 3112 14 stars star NNS 63372 3112 15 actually actually RB 63372 3112 16 appear appear VBP 63372 3112 17 to to TO 63372 3112 18 be be VB 63372 3112 19 shifted shift VBN 63372 3112 20 , , , 63372 3112 21 in in IN 63372 3112 22 almost almost RB 63372 3112 23 exactly exactly RB 63372 3112 24 the the DT 63372 3112 25 way way NN 63372 3112 26 predicted predict VBN 63372 3112 27 by by IN 63372 3112 28 Einstein Einstein NNP 63372 3112 29 's 's POS 63372 3112 30 theory theory NN 63372 3112 31 . . . 63372 3113 1 Another another DT 63372 3113 2 consequence consequence NN 63372 3113 3 of of IN 63372 3113 4 " " `` 63372 3113 5 general general JJ 63372 3113 6 relativity relativity NN 63372 3113 7 " " '' 63372 3113 8 is be VBZ 63372 3113 9 that that IN 63372 3113 10 Newton Newton NNP 63372 3113 11 's 's POS 63372 3113 12 law law NN 63372 3113 13 of of IN 63372 3113 14 gravitation gravitation NN 63372 3113 15 needs need VBZ 63372 3113 16 a a DT 63372 3113 17 minute minute JJ 63372 3113 18 correction correction NN 63372 3113 19 . . . 63372 3114 1 This this DT 63372 3114 2 is be VBZ 63372 3114 3 so so RB 63372 3114 4 small small JJ 63372 3114 5 that that IN 63372 3114 6 there there EX 63372 3114 7 is be VBZ 63372 3114 8 but but CC 63372 3114 9 a a DT 63372 3114 10 single single JJ 63372 3114 11 case case NN 63372 3114 12 in in IN 63372 3114 13 which which WDT 63372 3114 14 it -PRON- PRP 63372 3114 15 can can MD 63372 3114 16 be be VB 63372 3114 17 tested test VBN 63372 3114 18 . . . 63372 3115 1 On on IN 63372 3115 2 Newton Newton NNP 63372 3115 3 's 's POS 63372 3115 4 theory theory NN 63372 3115 5 , , , 63372 3115 6 the the DT 63372 3115 7 line line NN 63372 3115 8 joining join VBG 63372 3115 9 the the DT 63372 3115 10 sun sun NN 63372 3115 11 to to IN 63372 3115 12 the the DT 63372 3115 13 nearest near JJS 63372 3115 14 point point NN 63372 3115 15 upon upon IN 63372 3115 16 a a DT 63372 3115 17 planet planet NN 63372 3115 18 's 's POS 63372 3115 19 orbit orbit NN 63372 3115 20 ( ( -LRB- 63372 3115 21 its -PRON- PRP$ 63372 3115 22 perihelion perihelion NN 63372 3115 23 ) ) -RRB- 63372 3115 24 should should MD 63372 3115 25 remain remain VB 63372 3115 26 fixed fix VBN 63372 3115 27 in in IN 63372 3115 28 direction direction NN 63372 3115 29 , , , 63372 3115 30 ( ( -LRB- 63372 3115 31 barring bar VBG 63372 3115 32 certain certain JJ 63372 3115 33 effects effect NNS 63372 3115 34 of of IN 63372 3115 35 the the DT 63372 3115 36 attraction attraction NN 63372 3115 37 of of IN 63372 3115 38 the the DT 63372 3115 39 other other JJ 63372 3115 40 planets planet NNS 63372 3115 41 , , , 63372 3115 42 which which WDT 63372 3115 43 can can MD 63372 3115 44 be be VB 63372 3115 45 allowed allow VBN 63372 3115 46 for for IN 63372 3115 47 ) ) -RRB- 63372 3115 48 . . . 63372 3116 1 On on IN 63372 3116 2 Einstein Einstein NNP 63372 3116 3 's 's POS 63372 3116 4 theory theory NN 63372 3116 5 it -PRON- PRP 63372 3116 6 should should MD 63372 3116 7 move move VB 63372 3116 8 slowly slowly RB 63372 3116 9 forward forward RB 63372 3116 10 . . . 63372 3117 1 It -PRON- PRP 63372 3117 2 has have VBZ 63372 3117 3 been be VBN 63372 3117 4 known know VBN 63372 3117 5 for for IN 63372 3117 6 years year NNS 63372 3117 7 that that IN 63372 3117 8 the the DT 63372 3117 9 perihelion perihelion NN 63372 3117 10 of of IN 63372 3117 11 Mercury Mercury NNP 63372 3117 12 was be VBD 63372 3117 13 actually actually RB 63372 3117 14 moving move VBG 63372 3117 15 forward forward RB 63372 3117 16 , , , 63372 3117 17 and and CC 63372 3117 18 all all DT 63372 3117 19 explanations explanation NNS 63372 3117 20 had have VBD 63372 3117 21 failed fail VBN 63372 3117 22 . . . 63372 3118 1 But but CC 63372 3118 2 Einstein Einstein NNP 63372 3118 3 's 's POS 63372 3118 4 theory theory NN 63372 3118 5 not not RB 63372 3118 6 only only RB 63372 3118 7 predicts predict VBZ 63372 3118 8 the the DT 63372 3118 9 direction direction NN 63372 3118 10 of of IN 63372 3118 11 the the DT 63372 3118 12 motion motion NN 63372 3118 13 , , , 63372 3118 14 but but CC 63372 3118 15 exactly exactly RB 63372 3118 16 the the DT 63372 3118 17 observed observed JJ 63372 3118 18 amount amount NN 63372 3118 19 . . . 63372 3119 1 Einstein Einstein NNP 63372 3119 2 also also RB 63372 3119 3 predicts predict VBZ 63372 3119 4 that that IN 63372 3119 5 the the DT 63372 3119 6 lines line NNS 63372 3119 7 of of IN 63372 3119 8 any any DT 63372 3119 9 element element NN 63372 3119 10 in in IN 63372 3119 11 the the DT 63372 3119 12 solar solar JJ 63372 3119 13 spectrum spectrum NN 63372 3119 14 should should MD 63372 3119 15 be be VB 63372 3119 16 slightly slightly RB 63372 3119 17 shifted shift VBN 63372 3119 18 towards towards IN 63372 3119 19 the the DT 63372 3119 20 red red NN 63372 3119 21 , , , 63372 3119 22 as as IN 63372 3119 23 compared compare VBN 63372 3119 24 with with IN 63372 3119 25 those those DT 63372 3119 26 produced produce VBN 63372 3119 27 in in IN 63372 3119 28 our -PRON- PRP$ 63372 3119 29 laboratories laboratory NNS 63372 3119 30 . . . 63372 3120 1 Different different JJ 63372 3120 2 observers observer NNS 63372 3120 3 have have VBP 63372 3120 4 investigated investigate VBN 63372 3120 5 this this DT 63372 3120 6 , , , 63372 3120 7 and and CC 63372 3120 8 so so RB 63372 3120 9 far far RB 63372 3120 10 they -PRON- PRP 63372 3120 11 disagree disagree VBP 63372 3120 12 . . . 63372 3121 1 The the DT 63372 3121 2 trouble trouble NN 63372 3121 3 is be VBZ 63372 3121 4 that that IN 63372 3121 5 there there EX 63372 3121 6 are be VBP 63372 3121 7 several several JJ 63372 3121 8 other other JJ 63372 3121 9 influences influence NNS 63372 3121 10 which which WDT 63372 3121 11 may may MD 63372 3121 12 shift shift VB 63372 3121 13 the the DT 63372 3121 14 lines line NNS 63372 3121 15 , , , 63372 3121 16 such such JJ 63372 3121 17 as as IN 63372 3121 18 pressure pressure NN 63372 3121 19 in in IN 63372 3121 20 the the DT 63372 3121 21 sun sun NN 63372 3121 22 's 's POS 63372 3121 23 atmosphere atmosphere NN 63372 3121 24 , , , 63372 3121 25 motion motion NN 63372 3121 26 of of IN 63372 3121 27 currents current NNS 63372 3121 28 on on IN 63372 3121 29 the the DT 63372 3121 30 sun sun NN 63372 3121 31 's 's POS 63372 3121 32 surface surface NN 63372 3121 33 , , , 63372 3121 34 etc etc FW 63372 3121 35 . . FW 63372 3121 36 , , , 63372 3121 37 and and CC 63372 3121 38 it -PRON- PRP 63372 3121 39 is be VBZ 63372 3121 40 very very RB 63372 3121 41 hard hard JJ 63372 3121 42 to to TO 63372 3121 43 disentangle disentangle VB 63372 3121 44 this this DT 63372 3121 45 Gordian gordian JJ 63372 3121 46 knot knot NN 63372 3121 47 . . . 63372 3122 1 At at IN 63372 3122 2 present present NN 63372 3122 3 , , , 63372 3122 4 the the DT 63372 3122 5 results result NNS 63372 3122 6 of of IN 63372 3122 7 these these DT 63372 3122 8 observations observation NNS 63372 3122 9 can can MD 63372 3122 10 neither neither CC 63372 3122 11 be be VB 63372 3122 12 counted count VBN 63372 3122 13 for for IN 63372 3122 14 or or CC 63372 3122 15 against against IN 63372 3122 16 the the DT 63372 3122 17 theory theory NN 63372 3122 18 , , , 63372 3122 19 while while IN 63372 3122 20 those those DT 63372 3122 21 in in IN 63372 3122 22 the the DT 63372 3122 23 other other JJ 63372 3122 24 two two CD 63372 3122 25 cases case NNS 63372 3122 26 are be VBP 63372 3122 27 decisively decisively RB 63372 3122 28 favorable favorable JJ 63372 3122 29 . . . 63372 3123 1 The the DT 63372 3123 2 mathematical mathematical JJ 63372 3123 3 expression expression NN 63372 3123 4 of of IN 63372 3123 5 this this DT 63372 3123 6 general general JJ 63372 3123 7 relativity relativity NN 63372 3123 8 is be VBZ 63372 3123 9 intricate intricate JJ 63372 3123 10 and and CC 63372 3123 11 difficult difficult JJ 63372 3123 12 . . . 63372 3124 1 Mathematicians mathematician NNS 63372 3124 2 -- -- : 63372 3124 3 who who WP 63372 3124 4 are be VBP 63372 3124 5 used use VBN 63372 3124 6 to to IN 63372 3124 7 conceptions conception NNS 63372 3124 8 which which WDT 63372 3124 9 are be VBP 63372 3124 10 unfamiliar unfamiliar JJ 63372 3124 11 , , , 63372 3124 12 if if IN 63372 3124 13 not not RB 63372 3124 14 incomprehensible incomprehensible JJ 63372 3124 15 , , , 63372 3124 16 to to IN 63372 3124 17 most most JJS 63372 3124 18 of of IN 63372 3124 19 us -PRON- PRP 63372 3124 20 -- -- : 63372 3124 21 find find VBP 63372 3124 22 that that IN 63372 3124 23 these these DT 63372 3124 24 expressions expression NNS 63372 3124 25 may may MD 63372 3124 26 be be VB 63372 3124 27 described describe VBN 63372 3124 28 ( ( -LRB- 63372 3124 29 to to IN 63372 3124 30 the the DT 63372 3124 31 trained train VBN 63372 3124 32 student student NN 63372 3124 33 ) ) -RRB- 63372 3124 34 in in IN 63372 3124 35 terms term NNS 63372 3124 36 of of IN 63372 3124 37 space space NN 63372 3124 38 of of IN 63372 3124 39 four four CD 63372 3124 40 dimensions dimension NNS 63372 3124 41 and and CC 63372 3124 42 of of IN 63372 3124 43 the the DT 63372 3124 44 non non JJ 63372 3124 45 - - JJ 63372 3124 46 Euclidean euclidean JJ 63372 3124 47 geometry geometry NN 63372 3124 48 . . . 63372 3125 1 We -PRON- PRP 63372 3125 2 therefore therefore RB 63372 3125 3 hear hear VBP 63372 3125 4 such such JJ 63372 3125 5 phrases phrase NNS 63372 3125 6 as as IN 63372 3125 7 " " `` 63372 3125 8 time time NN 63372 3125 9 as as IN 63372 3125 10 a a DT 63372 3125 11 sort sort NN 63372 3125 12 of of IN 63372 3125 13 fourth fourth JJ 63372 3125 14 dimension dimension NN 63372 3125 15 , , , 63372 3125 16 " " '' 63372 3125 17 " " `` 63372 3125 18 curvature curvature NN 63372 3125 19 of of IN 63372 3125 20 space space NN 63372 3125 21 " " '' 63372 3125 22 and and CC 63372 3125 23 others other NNS 63372 3125 24 . . . 63372 3126 1 But but CC 63372 3126 2 these these DT 63372 3126 3 are be VBP 63372 3126 4 simply simply RB 63372 3126 5 attempts attempt NNS 63372 3126 6 -- -- : 63372 3126 7 not not RB 63372 3126 8 altogether altogether RB 63372 3126 9 successful successful JJ 63372 3126 10 -- -- : 63372 3126 11 to to TO 63372 3126 12 put put VB 63372 3126 13 mathematical mathematical JJ 63372 3126 14 relationships relationship NNS 63372 3126 15 into into IN 63372 3126 16 ordinary ordinary JJ 63372 3126 17 language language NN 63372 3126 18 , , , 63372 3126 19 instead instead RB 63372 3126 20 of of IN 63372 3126 21 algebraic algebraic JJ 63372 3126 22 equations equation NNS 63372 3126 23 . . . 63372 3127 1 More more RBR 63372 3127 2 important important JJ 63372 3127 3 to to IN 63372 3127 4 the the DT 63372 3127 5 general general JJ 63372 3127 6 reader reader NN 63372 3127 7 are be VBP 63372 3127 8 the the DT 63372 3127 9 physical physical JJ 63372 3127 10 bearings bearing NNS 63372 3127 11 of of IN 63372 3127 12 the the DT 63372 3127 13 new new JJ 63372 3127 14 theory theory NN 63372 3127 15 , , , 63372 3127 16 and and CC 63372 3127 17 these these DT 63372 3127 18 are be VBP 63372 3127 19 far far RB 63372 3127 20 easier easy JJR 63372 3127 21 to to TO 63372 3127 22 understand understand VB 63372 3127 23 . . . 63372 3128 1 Various various JJ 63372 3128 2 assumptions assumption NNS 63372 3128 3 which which WDT 63372 3128 4 we -PRON- PRP 63372 3128 5 may may MD 63372 3128 6 make make VB 63372 3128 7 about about IN 63372 3128 8 the the DT 63372 3128 9 motion motion NN 63372 3128 10 of of IN 63372 3128 11 the the DT 63372 3128 12 universe universe NN 63372 3128 13 as as IN 63372 3128 14 a a DT 63372 3128 15 whole whole NN 63372 3128 16 , , , 63372 3128 17 though though IN 63372 3128 18 they -PRON- PRP 63372 3128 19 do do VBP 63372 3128 20 not not RB 63372 3128 21 influence influence VB 63372 3128 22 the the DT 63372 3128 23 observed observed JJ 63372 3128 24 facts fact NNS 63372 3128 25 of of IN 63372 3128 26 nature nature NN 63372 3128 27 , , , 63372 3128 28 will will MD 63372 3128 29 lead lead VB 63372 3128 30 us -PRON- PRP 63372 3128 31 to to IN 63372 3128 32 different different JJ 63372 3128 33 ways way NNS 63372 3128 34 of of IN 63372 3128 35 interpreting interpret VBG 63372 3128 36 our -PRON- PRP$ 63372 3128 37 observations observation NNS 63372 3128 38 as as IN 63372 3128 39 measurements measurement NNS 63372 3128 40 of of IN 63372 3128 41 space space NN 63372 3128 42 and and CC 63372 3128 43 time time NN 63372 3128 44 . . . 63372 3129 1 Theoretically theoretically RB 63372 3129 2 , , , 63372 3129 3 one one CD 63372 3129 4 of of IN 63372 3129 5 these these DT 63372 3129 6 assumptions assumption NNS 63372 3129 7 is be VBZ 63372 3129 8 as as RB 63372 3129 9 good good JJ 63372 3129 10 as as IN 63372 3129 11 any any DT 63372 3129 12 other other JJ 63372 3129 13 . . . 63372 3130 1 Hence hence RB 63372 3130 2 we -PRON- PRP 63372 3130 3 no no RB 63372 3130 4 longer longer RB 63372 3130 5 believe believe VBP 63372 3130 6 in in IN 63372 3130 7 absolute absolute JJ 63372 3130 8 space space NN 63372 3130 9 and and CC 63372 3130 10 time time NN 63372 3130 11 . . . 63372 3131 1 This this DT 63372 3131 2 is be VBZ 63372 3131 3 of of IN 63372 3131 4 great great JJ 63372 3131 5 interest interest NN 63372 3131 6 philosophically philosophically RB 63372 3131 7 . . . 63372 3132 1 Practically practically RB 63372 3132 2 , , , 63372 3132 3 it -PRON- PRP 63372 3132 4 is be VBZ 63372 3132 5 unimportant unimportant JJ 63372 3132 6 , , , 63372 3132 7 for for IN 63372 3132 8 , , , 63372 3132 9 unless unless IN 63372 3132 10 our -PRON- PRP$ 63372 3132 11 choice choice NN 63372 3132 12 of of IN 63372 3132 13 an an DT 63372 3132 14 assumption assumption NN 63372 3132 15 is be VBZ 63372 3132 16 very very RB 63372 3132 17 wild wild JJ 63372 3132 18 , , , 63372 3132 19 our -PRON- PRP$ 63372 3132 20 conclusions conclusion NNS 63372 3132 21 and and CC 63372 3132 22 measurements measurement NNS 63372 3132 23 will will MD 63372 3132 24 agree agree VB 63372 3132 25 substantially substantially RB 63372 3132 26 with with IN 63372 3132 27 those those DT 63372 3132 28 which which WDT 63372 3132 29 are be VBP 63372 3132 30 already already RB 63372 3132 31 familiar familiar JJ 63372 3132 32 . . . 63372 3133 1 Finally finally RB 63372 3133 2 , , , 63372 3133 3 the the DT 63372 3133 4 " " `` 63372 3133 5 general general JJ 63372 3133 6 " " '' 63372 3133 7 relativity relativity NN 63372 3133 8 shows show VBZ 63372 3133 9 that that IN 63372 3133 10 gravitation gravitation NN 63372 3133 11 and and CC 63372 3133 12 electro electro JJ 63372 3133 13 - - HYPH 63372 3133 14 magnetic magnetic JJ 63372 3133 15 phenomena--(including phenomena--(including JJ 63372 3133 16 light light NN 63372 3133 17 ) ) -RRB- 63372 3133 18 do do VB 63372 3133 19 not not RB 63372 3133 20 form form VB 63372 3133 21 two two CD 63372 3133 22 independent independent JJ 63372 3133 23 sides side NNS 63372 3133 24 of of IN 63372 3133 25 nature nature NN 63372 3133 26 , , , 63372 3133 27 as as IN 63372 3133 28 we -PRON- PRP 63372 3133 29 once once RB 63372 3133 30 supposed suppose VBD 63372 3133 31 , , , 63372 3133 32 but but CC 63372 3133 33 influence influence VB 63372 3133 34 one one NN 63372 3133 35 another another DT 63372 3133 36 ( ( -LRB- 63372 3133 37 though though IN 63372 3133 38 slightly slightly RB 63372 3133 39 ) ) -RRB- 63372 3133 40 and and CC 63372 3133 41 are be VBP 63372 3133 42 parts part NNS 63372 3133 43 of of IN 63372 3133 44 one one CD 63372 3133 45 greater great JJR 63372 3133 46 whole whole NN 63372 3133 47 . . . 63372 3134 1 XIX XIX NNP 63372 3134 2 EINSTEIN EINSTEIN NNP 63372 3134 3 'S 's POS 63372 3134 4 THEORY theory NN 63372 3134 5 OF of IN 63372 3134 6 RELATIVITY RELATIVITY NNP 63372 3134 7 A A NNP 63372 3134 8 Simple Simple NNP 63372 3134 9 Explanation Explanation NNP 63372 3134 10 of of IN 63372 3134 11 His -PRON- PRP$ 63372 3134 12 Postulates Postulates NNPS 63372 3134 13 and and CC 63372 3134 14 Their -PRON- PRP$ 63372 3134 15 Consequences consequence NNS 63372 3134 16 BY by IN 63372 3134 17 T. t. NN 63372 3134 18 ROYDS royds NN 63372 3134 19 , , , 63372 3134 20 KODAIKANAL KODAIKANAL NNP 63372 3134 21 OBSERVATORY OBSERVATORY NNP 63372 3134 22 , , , 63372 3134 23 INDIA INDIA NNP 63372 3134 24 Einstein Einstein NNP 63372 3134 25 's 's POS 63372 3134 26 theory theory NN 63372 3134 27 of of IN 63372 3134 28 relativity relativity NN 63372 3134 29 seeks seek VBZ 63372 3134 30 to to TO 63372 3134 31 represent represent VB 63372 3134 32 to to IN 63372 3134 33 us -PRON- PRP 63372 3134 34 the the DT 63372 3134 35 world world NN 63372 3134 36 as as IN 63372 3134 37 it -PRON- PRP 63372 3134 38 really really RB 63372 3134 39 is be VBZ 63372 3134 40 instead instead RB 63372 3134 41 of of IN 63372 3134 42 the the DT 63372 3134 43 world world NN 63372 3134 44 of of IN 63372 3134 45 appearances appearance NNS 63372 3134 46 which which WDT 63372 3134 47 may may MD 63372 3134 48 be be VB 63372 3134 49 deceiving deceive VBG 63372 3134 50 us -PRON- PRP 63372 3134 51 . . . 63372 3135 1 When when WRB 63372 3135 2 I -PRON- PRP 63372 3135 3 was be VBD 63372 3135 4 in in IN 63372 3135 5 town town NN 63372 3135 6 last last JJ 63372 3135 7 week week NN 63372 3135 8 to to TO 63372 3135 9 buy buy VB 63372 3135 10 5 5 CD 63372 3135 11 yards yard NNS 63372 3135 12 of of IN 63372 3135 13 calico calico NN 63372 3135 14 I -PRON- PRP 63372 3135 15 watched watch VBD 63372 3135 16 the the DT 63372 3135 17 draper draper NN 63372 3135 18 very very RB 63372 3135 19 carefully carefully RB 63372 3135 20 as as IN 63372 3135 21 he -PRON- PRP 63372 3135 22 measured measure VBD 63372 3135 23 the the DT 63372 3135 24 cloth cloth NN 63372 3135 25 to to TO 63372 3135 26 make make VB 63372 3135 27 sure sure JJ 63372 3135 28 I -PRON- PRP 63372 3135 29 was be VBD 63372 3135 30 not not RB 63372 3135 31 cheated cheat VBN 63372 3135 32 . . . 63372 3136 1 Yet yet CC 63372 3136 2 experiment experiment NN 63372 3136 3 can can MD 63372 3136 4 demonstrate demonstrate VB 63372 3136 5 , , , 63372 3136 6 and and CC 63372 3136 7 Einstein Einstein NNP 63372 3136 8 's 's POS 63372 3136 9 theory theory NN 63372 3136 10 can can MD 63372 3136 11 explain explain VB 63372 3136 12 , , , 63372 3136 13 that that IN 63372 3136 14 the the DT 63372 3136 15 draper draper NN 63372 3136 16 's 's POS 63372 3136 17 yardstick yardstick NN 63372 3136 18 became become VBD 63372 3136 19 longer long RBR 63372 3136 20 or or CC 63372 3136 21 shorter shorter RBR 63372 3136 22 according accord VBG 63372 3136 23 to to IN 63372 3136 24 the the DT 63372 3136 25 direction direction NN 63372 3136 26 in in IN 63372 3136 27 which which WDT 63372 3136 28 it -PRON- PRP 63372 3136 29 was be VBD 63372 3136 30 held hold VBN 63372 3136 31 . . . 63372 3137 1 The the DT 63372 3137 2 length length NN 63372 3137 3 of of IN 63372 3137 4 the the DT 63372 3137 5 yardstick yardstick NN 63372 3137 6 did do VBD 63372 3137 7 not not RB 63372 3137 8 appear appear VB 63372 3137 9 to to IN 63372 3137 10 me -PRON- PRP 63372 3137 11 to to TO 63372 3137 12 change change VB 63372 3137 13 simply simply RB 63372 3137 14 because because IN 63372 3137 15 everything everything NN 63372 3137 16 else else RB 63372 3137 17 in in IN 63372 3137 18 the the DT 63372 3137 19 same same JJ 63372 3137 20 direction direction NN 63372 3137 21 , , , 63372 3137 22 the the DT 63372 3137 23 store store NN 63372 3137 24 , , , 63372 3137 25 the the DT 63372 3137 26 draper draper NN 63372 3137 27 , , , 63372 3137 28 the the DT 63372 3137 29 cloth cloth NN 63372 3137 30 , , , 63372 3137 31 the the DT 63372 3137 32 retina retina NN 63372 3137 33 of of IN 63372 3137 34 my -PRON- PRP$ 63372 3137 35 eye eye NN 63372 3137 36 , , , 63372 3137 37 changed change VBN 63372 3137 38 length length NN 63372 3137 39 in in IN 63372 3137 40 the the DT 63372 3137 41 same same JJ 63372 3137 42 ratio ratio NN 63372 3137 43 . . . 63372 3138 1 Einstein Einstein NNP 63372 3138 2 's 's POS 63372 3138 3 theory theory NN 63372 3138 4 points point VBZ 63372 3138 5 out out RP 63372 3138 6 not not RB 63372 3138 7 only only RB 63372 3138 8 this this DT 63372 3138 9 , , , 63372 3138 10 but but CC 63372 3138 11 every every DT 63372 3138 12 case case NN 63372 3138 13 where where WRB 63372 3138 14 appearances appearance NNS 63372 3138 15 are be VBP 63372 3138 16 deceptive deceptive JJ 63372 3138 17 , , , 63372 3138 18 and and CC 63372 3138 19 tries try VBZ 63372 3138 20 to to TO 63372 3138 21 show show VB 63372 3138 22 us -PRON- PRP 63372 3138 23 the the DT 63372 3138 24 world world NN 63372 3138 25 of of IN 63372 3138 26 reality reality NN 63372 3138 27 . . . 63372 3139 1 Einstein Einstein NNP 63372 3139 2 's 's POS 63372 3139 3 theory theory NN 63372 3139 4 is be VBZ 63372 3139 5 based base VBN 63372 3139 6 on on IN 63372 3139 7 the the DT 63372 3139 8 principle principle NN 63372 3139 9 of of IN 63372 3139 10 relativity relativity NN 63372 3139 11 and and CC 63372 3139 12 before before IN 63372 3139 13 we -PRON- PRP 63372 3139 14 try try VBP 63372 3139 15 to to TO 63372 3139 16 follow follow VB 63372 3139 17 his -PRON- PRP$ 63372 3139 18 reasoning reasoning NN 63372 3139 19 we -PRON- PRP 63372 3139 20 must must MD 63372 3139 21 spend spend VB 63372 3139 22 a a DT 63372 3139 23 little little JJ 63372 3139 24 time time NN 63372 3139 25 in in IN 63372 3139 26 understanding understanding NN 63372 3139 27 what what WP 63372 3139 28 he -PRON- PRP 63372 3139 29 means mean VBZ 63372 3139 30 by by IN 63372 3139 31 " " `` 63372 3139 32 relativity relativity NN 63372 3139 33 " " '' 63372 3139 34 and and CC 63372 3139 35 in in IN 63372 3139 36 grasping grasp VBG 63372 3139 37 how how WRB 63372 3139 38 the the DT 63372 3139 39 idea idea NN 63372 3139 40 arises arise VBZ 63372 3139 41 . . . 63372 3140 1 Suppose suppose VB 63372 3140 2 I -PRON- PRP 63372 3140 3 wish wish VBP 63372 3140 4 to to TO 63372 3140 5 define define VB 63372 3140 6 my -PRON- PRP$ 63372 3140 7 motion motion NN 63372 3140 8 as as IN 63372 3140 9 I -PRON- PRP 63372 3140 10 travel travel VBP 63372 3140 11 along along IN 63372 3140 12 in in IN 63372 3140 13 an an DT 63372 3140 14 automobile automobile NN 63372 3140 15 . . . 63372 3141 1 I -PRON- PRP 63372 3141 2 may may MD 63372 3141 3 be be VB 63372 3141 4 moving move VBG 63372 3141 5 at at IN 63372 3141 6 the the DT 63372 3141 7 rate rate NN 63372 3141 8 of of IN 63372 3141 9 25 25 CD 63372 3141 10 miles mile NNS 63372 3141 11 an an DT 63372 3141 12 hour hour NN 63372 3141 13 relative relative JJ 63372 3141 14 to to IN 63372 3141 15 objects object NNS 63372 3141 16 fixed fix VBN 63372 3141 17 on on IN 63372 3141 18 the the DT 63372 3141 19 roadside roadside NN 63372 3141 20 , , , 63372 3141 21 but but CC 63372 3141 22 relative relative JJ 63372 3141 23 to to IN 63372 3141 24 a a DT 63372 3141 25 fellow fellow NN 63372 3141 26 - - HYPH 63372 3141 27 passenger passenger NN 63372 3141 28 I -PRON- PRP 63372 3141 29 am be VBP 63372 3141 30 not not RB 63372 3141 31 moving move VBG 63372 3141 32 at at RB 63372 3141 33 all all RB 63372 3141 34 ; ; : 63372 3141 35 relative relative JJ 63372 3141 36 to to IN 63372 3141 37 the the DT 63372 3141 38 sun sun NN 63372 3141 39 I -PRON- PRP 63372 3141 40 am be VBP 63372 3141 41 moving move VBG 63372 3141 42 with with IN 63372 3141 43 a a DT 63372 3141 44 speed speed NN 63372 3141 45 of of IN 63372 3141 46 18 18 CD 63372 3141 47 1/2 1/2 CD 63372 3141 48 miles mile NNS 63372 3141 49 per per IN 63372 3141 50 second second NN 63372 3141 51 in in IN 63372 3141 52 an an DT 63372 3141 53 elliptical elliptical JJ 63372 3141 54 orbit orbit NN 63372 3141 55 , , , 63372 3141 56 and and CC 63372 3141 57 again again RB 63372 3141 58 relative relative JJ 63372 3141 59 to to IN 63372 3141 60 the the DT 63372 3141 61 stars star NNS 63372 3141 62 I -PRON- PRP 63372 3141 63 am be VBP 63372 3141 64 moving move VBG 63372 3141 65 in in IN 63372 3141 66 the the DT 63372 3141 67 direction direction NN 63372 3141 68 of of IN 63372 3141 69 the the DT 63372 3141 70 star star NN 63372 3141 71 Vega Vega NNP 63372 3141 72 at at IN 63372 3141 73 a a DT 63372 3141 74 speed speed NN 63372 3141 75 of of IN 63372 3141 76 12 12 CD 63372 3141 77 miles mile NNS 63372 3141 78 per per IN 63372 3141 79 second second NN 63372 3141 80 . . . 63372 3142 1 Thus thus RB 63372 3142 2 motion motion NN 63372 3142 3 can can MD 63372 3142 4 only only RB 63372 3142 5 be be VB 63372 3142 6 defined define VBN 63372 3142 7 relative relative JJ 63372 3142 8 to to IN 63372 3142 9 some some DT 63372 3142 10 object object NN 63372 3142 11 or or CC 63372 3142 12 point point NN 63372 3142 13 of of IN 63372 3142 14 reference reference NN 63372 3142 15 . . . 63372 3143 1 Now now RB 63372 3143 2 this this DT 63372 3143 3 is be VBZ 63372 3143 4 not not RB 63372 3143 5 satisfactory satisfactory JJ 63372 3143 6 to to IN 63372 3143 7 the the DT 63372 3143 8 exact exact JJ 63372 3143 9 scientist scientist NN 63372 3143 10 . . . 63372 3144 1 Scientists scientist NNS 63372 3144 2 are be VBP 63372 3144 3 not not RB 63372 3144 4 content content JJ 63372 3144 5 with with IN 63372 3144 6 knowing know VBG 63372 3144 7 , , , 63372 3144 8 for for IN 63372 3144 9 example example NN 63372 3144 10 , , , 63372 3144 11 that that IN 63372 3144 12 the the DT 63372 3144 13 temperature temperature NN 63372 3144 14 of of IN 63372 3144 15 boiling boil VBG 63372 3144 16 water water NN 63372 3144 17 is be VBZ 63372 3144 18 +100 +100â PRP$ 63372 3144 19 ° ° NNP 63372 3144 20 C. C. NNP 63372 3144 21 relative relative JJ 63372 3144 22 to to IN 63372 3144 23 the the DT 63372 3144 24 temperature temperature NN 63372 3144 25 of of IN 63372 3144 26 freezing freezing NN 63372 3144 27 ; ; : 63372 3144 28 they -PRON- PRP 63372 3144 29 have have VBP 63372 3144 30 set set VBN 63372 3144 31 out out RP 63372 3144 32 to to TO 63372 3144 33 determine determine VB 63372 3144 34 absolute absolute JJ 63372 3144 35 temperatures temperature NNS 63372 3144 36 and and CC 63372 3144 37 have have VBP 63372 3144 38 found find VBN 63372 3144 39 that that IN 63372 3144 40 water water NN 63372 3144 41 boils boil VBZ 63372 3144 42 at at IN 63372 3144 43 373 373â CD 63372 3144 44 ° ° , 63372 3144 45 C. C. NNP 63372 3144 46 above above IN 63372 3144 47 absolute absolute JJ 63372 3144 48 zero zero CD 63372 3144 49 . . . 63372 3145 1 Why why WRB 63372 3145 2 should should MD 63372 3145 3 I -PRON- PRP 63372 3145 4 not not RB 63372 3145 5 , , , 63372 3145 6 therefore therefore RB 63372 3145 7 , , , 63372 3145 8 determine determine VB 63372 3145 9 the the DT 63372 3145 10 absolute absolute JJ 63372 3145 11 motion motion NN 63372 3145 12 of of IN 63372 3145 13 the the DT 63372 3145 14 automobile automobile NN 63372 3145 15 , , , 63372 3145 16 not not RB 63372 3145 17 its -PRON- PRP$ 63372 3145 18 motion motion NN 63372 3145 19 relative relative JJ 63372 3145 20 to to IN 63372 3145 21 the the DT 63372 3145 22 road road NN 63372 3145 23 , , , 63372 3145 24 earth earth NN 63372 3145 25 , , , 63372 3145 26 sun sun NN 63372 3145 27 or or CC 63372 3145 28 stars star NNS 63372 3145 29 , , , 63372 3145 30 but but CC 63372 3145 31 relative relative JJ 63372 3145 32 to to IN 63372 3145 33 absolute absolute JJ 63372 3145 34 rest rest NN 63372 3145 35 ? ? . 63372 3146 1 Michelson Michelson NNP 63372 3146 2 and and CC 63372 3146 3 Morley Morley NNP 63372 3146 4 set set VBD 63372 3146 5 out out RP 63372 3146 6 in in IN 63372 3146 7 their -PRON- PRP$ 63372 3146 8 famous famous JJ 63372 3146 9 experiment experiment NN 63372 3146 10 to to TO 63372 3146 11 measure measure VB 63372 3146 12 the the DT 63372 3146 13 absolute absolute JJ 63372 3146 14 velocity velocity NN 63372 3146 15 of of IN 63372 3146 16 their -PRON- PRP$ 63372 3146 17 laboratory laboratory NN 63372 3146 18 , , , 63372 3146 19 which which WDT 63372 3146 20 was be VBD 63372 3146 21 , , , 63372 3146 22 of of IN 63372 3146 23 course course NN 63372 3146 24 , , , 63372 3146 25 fixed fix VBN 63372 3146 26 on on IN 63372 3146 27 the the DT 63372 3146 28 earth earth NN 63372 3146 29 . . . 63372 3147 1 The the DT 63372 3147 2 experiment experiment NN 63372 3147 3 consisted consist VBD 63372 3147 4 of of IN 63372 3147 5 timing time VBG 63372 3147 6 two two CD 63372 3147 7 rays ray NNS 63372 3147 8 of of IN 63372 3147 9 light light NN 63372 3147 10 over over IN 63372 3147 11 two two CD 63372 3147 12 equal equal JJ 63372 3147 13 tracks track NNS 63372 3147 14 at at IN 63372 3147 15 right right JJ 63372 3147 16 angles angle NNS 63372 3147 17 to to IN 63372 3147 18 each each DT 63372 3147 19 other other JJ 63372 3147 20 . . . 63372 3148 1 When when WRB 63372 3148 2 one one CD 63372 3148 3 track track NN 63372 3148 4 was be VBD 63372 3148 5 situated situate VBN 63372 3148 6 in in IN 63372 3148 7 the the DT 63372 3148 8 direction direction NN 63372 3148 9 of of IN 63372 3148 10 the the DT 63372 3148 11 earth earth NN 63372 3148 12 's 's POS 63372 3148 13 motion motion NN 63372 3148 14 they -PRON- PRP 63372 3148 15 expected expect VBD 63372 3148 16 to to TO 63372 3148 17 get get VB 63372 3148 18 the the DT 63372 3148 19 same same JJ 63372 3148 20 result result NN 63372 3148 21 as as IN 63372 3148 22 when when WRB 63372 3148 23 two two CD 63372 3148 24 scullers sculler NNS 63372 3148 25 of of IN 63372 3148 26 equal equal JJ 63372 3148 27 prowess prowess NN 63372 3148 28 are be VBP 63372 3148 29 racing race VBG 63372 3148 30 in in IN 63372 3148 31 a a DT 63372 3148 32 river river NN 63372 3148 33 , , , 63372 3148 34 one one CD 63372 3148 35 up up IN 63372 3148 36 and and CC 63372 3148 37 down down IN 63372 3148 38 the the DT 63372 3148 39 stream stream NN 63372 3148 40 and and CC 63372 3148 41 the the DT 63372 3148 42 other other JJ 63372 3148 43 across across IN 63372 3148 44 and and CC 63372 3148 45 back back RB 63372 3148 46 ; ; : 63372 3148 47 the the DT 63372 3148 48 winner winner NN 63372 3148 49 will will MD 63372 3148 50 be be VB 63372 3148 51 the the DT 63372 3148 52 sculler sculler NN 63372 3148 53 rowing row VBG 63372 3148 54 across across IN 63372 3148 55 the the DT 63372 3148 56 stream stream NN 63372 3148 57 , , , 63372 3148 58 as as IN 63372 3148 59 working work VBG 63372 3148 60 out out RP 63372 3148 61 an an DT 63372 3148 62 example example NN 63372 3148 63 will will MD 63372 3148 64 convince convince VB 63372 3148 65 . . . 63372 3149 1 Even even RB 63372 3149 2 if if IN 63372 3149 3 the the DT 63372 3149 4 earth earth NN 63372 3149 5 had have VBD 63372 3149 6 been be VBN 63372 3149 7 stationary stationary JJ 63372 3149 8 at at IN 63372 3149 9 the the DT 63372 3149 10 time time NN 63372 3149 11 of of IN 63372 3149 12 one one CD 63372 3149 13 experiment experiment NN 63372 3149 14 , , , 63372 3149 15 the the DT 63372 3149 16 earth earth NN 63372 3149 17 's 's POS 63372 3149 18 motion motion NN 63372 3149 19 round round IN 63372 3149 20 the the DT 63372 3149 21 sun sun NN 63372 3149 22 would would MD 63372 3149 23 have have VB 63372 3149 24 been be VBN 63372 3149 25 reversed reverse VBN 63372 3149 26 6 6 CD 63372 3149 27 months month NNS 63372 3149 28 later later RB 63372 3149 29 and and CC 63372 3149 30 would would MD 63372 3149 31 then then RB 63372 3149 32 have have VB 63372 3149 33 given give VBN 63372 3149 34 double double PDT 63372 3149 35 the the DT 63372 3149 36 effect effect NN 63372 3149 37 . . . 63372 3150 1 They -PRON- PRP 63372 3150 2 found find VBD 63372 3150 3 , , , 63372 3150 4 however however RB 63372 3150 5 , , , 63372 3150 6 that that IN 63372 3150 7 the the DT 63372 3150 8 two two CD 63372 3150 9 rays ray NNS 63372 3150 10 of of IN 63372 3150 11 light light NN 63372 3150 12 arrived arrive VBD 63372 3150 13 always always RB 63372 3150 14 an an DT 63372 3150 15 exact exact JJ 63372 3150 16 dead dead JJ 63372 3150 17 heat heat NN 63372 3150 18 . . . 63372 3151 1 All all DT 63372 3151 2 experimenters experimenter NNS 63372 3151 3 who who WP 63372 3151 4 have have VBP 63372 3151 5 tried try VBN 63372 3151 6 since since IN 63372 3151 7 have have VBP 63372 3151 8 arrived arrive VBN 63372 3151 9 at at IN 63372 3151 10 the the DT 63372 3151 11 same same JJ 63372 3151 12 result result NN 63372 3151 13 and and CC 63372 3151 14 found find VBD 63372 3151 15 it -PRON- PRP 63372 3151 16 impossible impossible JJ 63372 3151 17 to to TO 63372 3151 18 detect detect VB 63372 3151 19 absolute absolute JJ 63372 3151 20 motion motion NN 63372 3151 21 . . . 63372 3152 1 The the DT 63372 3152 2 principle principle NN 63372 3152 3 of of IN 63372 3152 4 relativity relativity NN 63372 3152 5 has have VBZ 63372 3152 6 its -PRON- PRP$ 63372 3152 7 foundation foundation NN 63372 3152 8 in in IN 63372 3152 9 fact fact NN 63372 3152 10 on on IN 63372 3152 11 these these DT 63372 3152 12 failures failure NNS 63372 3152 13 to to TO 63372 3152 14 detect detect VB 63372 3152 15 absolute absolute JJ 63372 3152 16 motion motion NN 63372 3152 17 . . . 63372 3153 1 This this DT 63372 3153 2 principle principle NN 63372 3153 3 states state VBZ 63372 3153 4 that that IN 63372 3153 5 the the DT 63372 3153 6 only only JJ 63372 3153 7 motion motion NN 63372 3153 8 we -PRON- PRP 63372 3153 9 can can MD 63372 3153 10 ever ever RB 63372 3153 11 know know VB 63372 3153 12 about about IN 63372 3153 13 is be VBZ 63372 3153 14 relative relative JJ 63372 3153 15 motion motion NN 63372 3153 16 . . . 63372 3154 1 If if IN 63372 3154 2 we -PRON- PRP 63372 3154 3 devise devise VBP 63372 3154 4 an an DT 63372 3154 5 experiment experiment NN 63372 3154 6 which which WDT 63372 3154 7 ought ought MD 63372 3154 8 to to TO 63372 3154 9 reveal reveal VB 63372 3154 10 absolute absolute JJ 63372 3154 11 motion motion NN 63372 3154 12 , , , 63372 3154 13 nature nature NN 63372 3154 14 will will MD 63372 3154 15 enter enter VB 63372 3154 16 into into IN 63372 3154 17 a a DT 63372 3154 18 conspiracy conspiracy NN 63372 3154 19 to to TO 63372 3154 20 defeat defeat VB 63372 3154 21 us -PRON- PRP 63372 3154 22 . . . 63372 3155 1 In in IN 63372 3155 2 the the DT 63372 3155 3 Michelson Michelson NNP 63372 3155 4 and and CC 63372 3155 5 Morley Morley NNP 63372 3155 6 experiment experiment NN 63372 3155 7 the the DT 63372 3155 8 conspiracy conspiracy NN 63372 3155 9 was be VBD 63372 3155 10 that that IN 63372 3155 11 the the DT 63372 3155 12 track track NN 63372 3155 13 in in IN 63372 3155 14 the the DT 63372 3155 15 direction direction NN 63372 3155 16 of of IN 63372 3155 17 the the DT 63372 3155 18 earth earth NN 63372 3155 19 's 's POS 63372 3155 20 absolute absolute JJ 63372 3155 21 motion motion NN 63372 3155 22 should should MD 63372 3155 23 contract contract VB 63372 3155 24 its -PRON- PRP$ 63372 3155 25 length length NN 63372 3155 26 by by IN 63372 3155 27 just just RB 63372 3155 28 so so RB 63372 3155 29 much much RB 63372 3155 30 as as IN 63372 3155 31 would would MD 63372 3155 32 allow allow VB 63372 3155 33 the the DT 63372 3155 34 ray ray NN 63372 3155 35 of of IN 63372 3155 36 light light NN 63372 3155 37 along along IN 63372 3155 38 it -PRON- PRP 63372 3155 39 to to TO 63372 3155 40 arrive arrive VB 63372 3155 41 up up RB 63372 3155 42 to to IN 63372 3155 43 time time NN 63372 3155 44 . . . 63372 3156 1 We -PRON- PRP 63372 3156 2 see see VBP 63372 3156 3 , , , 63372 3156 4 therefore therefore RB 63372 3156 5 , , , 63372 3156 6 that that IN 63372 3156 7 according accord VBG 63372 3156 8 to to IN 63372 3156 9 the the DT 63372 3156 10 principle principle NN 63372 3156 11 of of IN 63372 3156 12 relativity relativity NN 63372 3156 13 motion motion NN 63372 3156 14 must must MD 63372 3156 15 always always RB 63372 3156 16 remain remain VB 63372 3156 17 a a DT 63372 3156 18 relative relative JJ 63372 3156 19 term term NN 63372 3156 20 , , , 63372 3156 21 in in IN 63372 3156 22 much much RB 63372 3156 23 the the DT 63372 3156 24 same same JJ 63372 3156 25 way way NN 63372 3156 26 as as IN 63372 3156 27 vertical vertical JJ 63372 3156 28 and and CC 63372 3156 29 horizontal horizontal JJ 63372 3156 30 , , , 63372 3156 31 right right RB 63372 3156 32 and and CC 63372 3156 33 left leave VBD 63372 3156 34 , , , 63372 3156 35 are be VBP 63372 3156 36 relative relative JJ 63372 3156 37 terms term NNS 63372 3156 38 having have VBG 63372 3156 39 only only RB 63372 3156 40 meaning meaning NN 63372 3156 41 when when WRB 63372 3156 42 referred refer VBD 63372 3156 43 to to IN 63372 3156 44 some some DT 63372 3156 45 observer observer NN 63372 3156 46 . . . 63372 3157 1 We -PRON- PRP 63372 3157 2 do do VBP 63372 3157 3 not not RB 63372 3157 4 expect expect VB 63372 3157 5 to to TO 63372 3157 6 find find VB 63372 3157 7 an an DT 63372 3157 8 absolute absolute JJ 63372 3157 9 vertical vertical JJ 63372 3157 10 and and CC 63372 3157 11 are be VBP 63372 3157 12 wise wise JJ 63372 3157 13 enough enough RB 63372 3157 14 not not RB 63372 3157 15 to to TO 63372 3157 16 attempt attempt VB 63372 3157 17 it -PRON- PRP 63372 3157 18 ; ; : 63372 3157 19 in in IN 63372 3157 20 seeking seek VBG 63372 3157 21 to to TO 63372 3157 22 find find VB 63372 3157 23 absolute absolute JJ 63372 3157 24 motion motion NN 63372 3157 25 physicists physicist NNS 63372 3157 26 were be VBD 63372 3157 27 not not RB 63372 3157 28 so so RB 63372 3157 29 wise wise JJ 63372 3157 30 and and CC 63372 3157 31 only only RB 63372 3157 32 found find VBD 63372 3157 33 themselves -PRON- PRP 63372 3157 34 baffled baffle VBN 63372 3157 35 . . . 63372 3158 1 The the DT 63372 3158 2 principle principle NN 63372 3158 3 that that IN 63372 3158 4 all all DT 63372 3158 5 motion motion NN 63372 3158 6 is be VBZ 63372 3158 7 relative relative JJ 63372 3158 8 now now RB 63372 3158 9 requires require VBZ 63372 3158 10 to to TO 63372 3158 11 be be VB 63372 3158 12 worked work VBN 63372 3158 13 out out RP 63372 3158 14 to to IN 63372 3158 15 all all DT 63372 3158 16 its -PRON- PRP$ 63372 3158 17 consequences consequence NNS 63372 3158 18 , , , 63372 3158 19 as as IN 63372 3158 20 has have VBZ 63372 3158 21 been be VBN 63372 3158 22 done do VBN 63372 3158 23 by by IN 63372 3158 24 Einstein Einstein NNP 63372 3158 25 , , , 63372 3158 26 and and CC 63372 3158 27 we -PRON- PRP 63372 3158 28 have have VBP 63372 3158 29 his -PRON- PRP$ 63372 3158 30 theory theory NN 63372 3158 31 of of IN 63372 3158 32 relativity relativity NN 63372 3158 33 . . . 63372 3159 1 Einstein Einstein NNP 63372 3159 2 conceives conceive VBZ 63372 3159 3 a a DT 63372 3159 4 world world NN 63372 3159 5 of of IN 63372 3159 6 four four CD 63372 3159 7 dimensions dimension NNS 63372 3159 8 built build VBN 63372 3159 9 up up IN 63372 3159 10 of of IN 63372 3159 11 the the DT 63372 3159 12 three three CD 63372 3159 13 dimensions dimension NNS 63372 3159 14 of of IN 63372 3159 15 space space NN 63372 3159 16 , , , 63372 3159 17 namely namely RB 63372 3159 18 up up IN 63372 3159 19 and and CC 63372 3159 20 down down IN 63372 3159 21 , , , 63372 3159 22 backwards backwards RB 63372 3159 23 and and CC 63372 3159 24 forwards forwards RB 63372 3159 25 , , , 63372 3159 26 right right UH 63372 3159 27 and and CC 63372 3159 28 left leave VBD 63372 3159 29 , , , 63372 3159 30 with with IN 63372 3159 31 time time NN 63372 3159 32 as as IN 63372 3159 33 the the DT 63372 3159 34 fourth fourth JJ 63372 3159 35 dimension dimension NN 63372 3159 36 . . . 63372 3160 1 This this DT 63372 3160 2 is be VBZ 63372 3160 3 an an DT 63372 3160 4 unusual unusual JJ 63372 3160 5 conception conception NN 63372 3160 6 to to IN 63372 3160 7 most most JJS 63372 3160 8 of of IN 63372 3160 9 us -PRON- PRP 63372 3160 10 , , , 63372 3160 11 so so CC 63372 3160 12 let let VB 63372 3160 13 us -PRON- PRP 63372 3160 14 simplify simplify VB 63372 3160 15 it -PRON- PRP 63372 3160 16 into into IN 63372 3160 17 something something NN 63372 3160 18 which which WDT 63372 3160 19 we -PRON- PRP 63372 3160 20 can can MD 63372 3160 21 more more RBR 63372 3160 22 easily easily RB 63372 3160 23 picture picture NN 63372 3160 24 but but CC 63372 3160 25 which which WDT 63372 3160 26 will will MD 63372 3160 27 still still RB 63372 3160 28 allow allow VB 63372 3160 29 us -PRON- PRP 63372 3160 30 to to TO 63372 3160 31 grasp grasp VB 63372 3160 32 Einstein Einstein NNP 63372 3160 33 's 's POS 63372 3160 34 ideas idea NNS 63372 3160 35 . . . 63372 3161 1 Let let VB 63372 3161 2 us -PRON- PRP 63372 3161 3 confine confine VB 63372 3161 4 ourselves -PRON- PRP 63372 3161 5 for for IN 63372 3161 6 the the DT 63372 3161 7 present present NN 63372 3161 8 to to IN 63372 3161 9 events event NNS 63372 3161 10 which which WDT 63372 3161 11 happen happen VBP 63372 3161 12 on on IN 63372 3161 13 this this DT 63372 3161 14 sheet sheet NN 63372 3161 15 of of IN 63372 3161 16 paper paper NN 63372 3161 17 , , , 63372 3161 18 i.e. i.e. FW 63372 3161 19 , , , 63372 3161 20 to to IN 63372 3161 21 space space NN 63372 3161 22 of of IN 63372 3161 23 two two CD 63372 3161 24 dimensions dimension NNS 63372 3161 25 only only RB 63372 3161 26 and and CC 63372 3161 27 take take VB 63372 3161 28 time time NN 63372 3161 29 as as IN 63372 3161 30 our -PRON- PRP$ 63372 3161 31 third third JJ 63372 3161 32 dimension dimension NN 63372 3161 33 at at IN 63372 3161 34 right right JJ 63372 3161 35 angles angle NNS 63372 3161 36 to to IN 63372 3161 37 the the DT 63372 3161 38 plane plane NN 63372 3161 39 of of IN 63372 3161 40 the the DT 63372 3161 41 paper paper NN 63372 3161 42 . . . 63372 3162 1 We -PRON- PRP 63372 3162 2 have have VBP 63372 3162 3 thus thus RB 63372 3162 4 built build VBN 63372 3162 5 up up RP 63372 3162 6 a a DT 63372 3162 7 three three CD 63372 3162 8 dimensional dimensional JJ 63372 3162 9 world world NN 63372 3162 10 of of IN 63372 3162 11 space space NN 63372 3162 12 - - HYPH 63372 3162 13 time time NN 63372 3162 14 which which WDT 63372 3162 15 is be VBZ 63372 3162 16 every every DT 63372 3162 17 bit bit NN 63372 3162 18 as as IN 63372 3162 19 useful useful JJ 63372 3162 20 to to IN 63372 3162 21 us -PRON- PRP 63372 3162 22 as as IN 63372 3162 23 a a DT 63372 3162 24 four four CD 63372 3162 25 dimensional dimensional JJ 63372 3162 26 representation representation NN 63372 3162 27 so so RB 63372 3162 28 long long RB 63372 3162 29 as as IN 63372 3162 30 we -PRON- PRP 63372 3162 31 only only RB 63372 3162 32 need need VBP 63372 3162 33 study study NN 63372 3162 34 objects object NNS 63372 3162 35 moving move VBG 63372 3162 36 over over IN 63372 3162 37 the the DT 63372 3162 38 sheet sheet NN 63372 3162 39 of of IN 63372 3162 40 paper paper NN 63372 3162 41 . . . 63372 3163 1 Suppose suppose VB 63372 3163 2 a a DT 63372 3163 3 fly fly NN 63372 3163 4 is be VBZ 63372 3163 5 crawling crawl VBG 63372 3163 6 over over RP 63372 3163 7 this this DT 63372 3163 8 sheet sheet NN 63372 3163 9 of of IN 63372 3163 10 paper paper NN 63372 3163 11 and and CC 63372 3163 12 let let VB 63372 3163 13 us -PRON- PRP 63372 3163 14 make make VB 63372 3163 15 a a DT 63372 3163 16 movie movie NN 63372 3163 17 record record NN 63372 3163 18 of of IN 63372 3163 19 it -PRON- PRP 63372 3163 20 . . . 63372 3164 1 If if IN 63372 3164 2 we -PRON- PRP 63372 3164 3 cut cut VBD 63372 3164 4 up up RP 63372 3164 5 the the DT 63372 3164 6 strip strip NN 63372 3164 7 of of IN 63372 3164 8 movie movie NN 63372 3164 9 film film NN 63372 3164 10 into into IN 63372 3164 11 the the DT 63372 3164 12 individual individual JJ 63372 3164 13 pictures picture NNS 63372 3164 14 and and CC 63372 3164 15 cement cement VB 63372 3164 16 them -PRON- PRP 63372 3164 17 together together RB 63372 3164 18 one one CD 63372 3164 19 above above IN 63372 3164 20 another another DT 63372 3164 21 in in IN 63372 3164 22 their -PRON- PRP$ 63372 3164 23 proper proper JJ 63372 3164 24 order order NN 63372 3164 25 , , , 63372 3164 26 we -PRON- PRP 63372 3164 27 shall shall MD 63372 3164 28 build build VB 63372 3164 29 up up RP 63372 3164 30 a a DT 63372 3164 31 solid solid JJ 63372 3164 32 block block NN 63372 3164 33 of of IN 63372 3164 34 film film NN 63372 3164 35 which which WDT 63372 3164 36 will will MD 63372 3164 37 be be VB 63372 3164 38 a a DT 63372 3164 39 model model NN 63372 3164 40 of of IN 63372 3164 41 our -PRON- PRP$ 63372 3164 42 simplified simplified JJ 63372 3164 43 world world NN 63372 3164 44 of of IN 63372 3164 45 space space NN 63372 3164 46 - - HYPH 63372 3164 47 time time NN 63372 3164 48 and and CC 63372 3164 49 in in IN 63372 3164 50 which which WDT 63372 3164 51 there there EX 63372 3164 52 will will MD 63372 3164 53 be be VB 63372 3164 54 a a DT 63372 3164 55 series series NN 63372 3164 56 of of IN 63372 3164 57 dots dot NNS 63372 3164 58 representing represent VBG 63372 3164 59 the the DT 63372 3164 60 motion motion NN 63372 3164 61 of of IN 63372 3164 62 the the DT 63372 3164 63 fly fly NN 63372 3164 64 over over IN 63372 3164 65 the the DT 63372 3164 66 paper paper NN 63372 3164 67 . . . 63372 3165 1 Just just RB 63372 3165 2 as as IN 63372 3165 3 I -PRON- PRP 63372 3165 4 can can MD 63372 3165 5 state state VB 63372 3165 6 the the DT 63372 3165 7 exact exact JJ 63372 3165 8 position position NN 63372 3165 9 of of IN 63372 3165 10 an an DT 63372 3165 11 object object NN 63372 3165 12 in in IN 63372 3165 13 my -PRON- PRP$ 63372 3165 14 room room NN 63372 3165 15 by by IN 63372 3165 16 defining define VBG 63372 3165 17 its -PRON- PRP$ 63372 3165 18 height height NN 63372 3165 19 above above IN 63372 3165 20 the the DT 63372 3165 21 floor floor NN 63372 3165 22 , , , 63372 3165 23 its -PRON- PRP$ 63372 3165 24 distance distance NN 63372 3165 25 from from IN 63372 3165 26 the the DT 63372 3165 27 north north NNP 63372 3165 28 wall wall NN 63372 3165 29 and and CC 63372 3165 30 its -PRON- PRP$ 63372 3165 31 distance distance NN 63372 3165 32 from from IN 63372 3165 33 the the DT 63372 3165 34 east east NNP 63372 3165 35 wall wall NN 63372 3165 36 , , , 63372 3165 37 so so IN 63372 3165 38 we -PRON- PRP 63372 3165 39 can can MD 63372 3165 40 reduce reduce VB 63372 3165 41 the the DT 63372 3165 42 positions position NNS 63372 3165 43 of of IN 63372 3165 44 the the DT 63372 3165 45 dots dot NNS 63372 3165 46 to to IN 63372 3165 47 figures figure NNS 63372 3165 48 for for IN 63372 3165 49 use use NN 63372 3165 50 in in IN 63372 3165 51 calculations calculation NNS 63372 3165 52 by by IN 63372 3165 53 measuring measure VBG 63372 3165 54 their -PRON- PRP$ 63372 3165 55 distances distance NNS 63372 3165 56 from from IN 63372 3165 57 the the DT 63372 3165 58 three three CD 63372 3165 59 faces face NNS 63372 3165 60 intersecting intersect VBG 63372 3165 61 in in IN 63372 3165 62 the the DT 63372 3165 63 lines line NNS 63372 3165 64 $ $ $ 63372 3165 65 OX$ ox$ CD 63372 3165 66 , , , 63372 3165 67 $ $ $ 63372 3165 68 OY$ oy$ CD 63372 3165 69 , , , 63372 3165 70 and and CC 63372 3165 71 $ $ $ 63372 3165 72 OT$ ot$ CD 63372 3165 73 , , , 63372 3165 74 where where WRB 63372 3165 75 $ $ $ 63372 3165 76 OXAYTBCD$ oxaytbcd$ CD 63372 3165 77 represents represent VBZ 63372 3165 78 the the DT 63372 3165 79 block block NN 63372 3165 80 of of IN 63372 3165 81 film film NN 63372 3165 82 . . . 63372 3166 1 The the DT 63372 3166 2 mathematician mathematician NN 63372 3166 3 would would MD 63372 3166 4 call call VB 63372 3166 5 the the DT 63372 3166 6 three three CD 63372 3166 7 lines line NNS 63372 3166 8 $ $ $ 63372 3166 9 OX$ ox$ CD 63372 3166 10 , , , 63372 3166 11 $ $ $ 63372 3166 12 OY$ oy$ CD 63372 3166 13 , , , 63372 3166 14 $ $ $ 63372 3166 15 OT$ ot$ $ 63372 3166 16 the the DT 63372 3166 17 coordinate coordinate JJ 63372 3166 18 axes axis NNS 63372 3166 19 . . . 63372 3167 1 Measuring measure VBG 63372 3167 2 all all PDT 63372 3167 3 the the DT 63372 3167 4 dots dot NNS 63372 3167 5 in in IN 63372 3167 6 this this DT 63372 3167 7 way way NN 63372 3167 8 we -PRON- PRP 63372 3167 9 shall shall MD 63372 3167 10 obtain obtain VB 63372 3167 11 the the DT 63372 3167 12 motion motion NN 63372 3167 13 of of IN 63372 3167 14 the the DT 63372 3167 15 fly fly NN 63372 3167 16 relative relative JJ 63372 3167 17 to to IN 63372 3167 18 the the DT 63372 3167 19 coordinate coordinate JJ 63372 3167 20 axes axis NNS 63372 3167 21 $ $ $ 63372 3167 22 OX$ ox$ CD 63372 3167 23 , , , 63372 3167 24 $ $ $ 63372 3167 25 OY$ oy$ CD 63372 3167 26 , , , 63372 3167 27 $ $ $ 63372 3167 28 OT$. ot$. CD 63372 3168 1 If if IN 63372 3168 2 we -PRON- PRP 63372 3168 3 add add VBP 63372 3168 4 a a DT 63372 3168 5 block block NN 63372 3168 6 $ $ $ 63372 3168 7 OTDYEFGH$ otdyefgh$ NN 63372 3168 8 of of IN 63372 3168 9 plain plain JJ 63372 3168 10 film film NN 63372 3168 11 we -PRON- PRP 63372 3168 12 can can MD 63372 3168 13 use use VB 63372 3168 14 $ $ $ 63372 3168 15 EX$ EX$ NNP 63372 3168 16 , , , 63372 3168 17 $ $ $ 63372 3168 18 EH$ eh$ XX 63372 3168 19 , , , 63372 3168 20 $ $ $ 63372 3168 21 EF$ ef$ $ 63372 3168 22 as as IN 63372 3168 23 coordinate coordinate JJ 63372 3168 24 axes axis NNS 63372 3168 25 and and CC 63372 3168 26 again again RB 63372 3168 27 obtain obtain VB 63372 3168 28 the the DT 63372 3168 29 motion motion NN 63372 3168 30 of of IN 63372 3168 31 the the DT 63372 3168 32 fly fly NN 63372 3168 33 relative relative JJ 63372 3168 34 to to IN 63372 3168 35 these these DT 63372 3168 36 new new JJ 63372 3168 37 axes axis NNS 63372 3168 38 ; ; : 63372 3168 39 or or CC 63372 3168 40 we -PRON- PRP 63372 3168 41 can can MD 63372 3168 42 add add VB 63372 3168 43 block block NN 63372 3168 44 after after IN 63372 3168 45 block block NN 63372 3168 46 so so IN 63372 3168 47 as as IN 63372 3168 48 to to TO 63372 3168 49 keep keep VB 63372 3168 50 the the DT 63372 3168 51 axes axis NNS 63372 3168 52 moving move VBG 63372 3168 53 . . . 63372 3169 1 We -PRON- PRP 63372 3169 2 can can MD 63372 3169 3 conceive conceive VB 63372 3169 4 of of IN 63372 3169 5 other other JJ 63372 3169 6 changes change NNS 63372 3169 7 of of IN 63372 3169 8 axes axis NNS 63372 3169 9 . . . 63372 3170 1 The the DT 63372 3170 2 operator operator NN 63372 3170 3 making make VBG 63372 3170 4 the the DT 63372 3170 5 movie movie NN 63372 3170 6 record record NN 63372 3170 7 might may MD 63372 3170 8 have have VB 63372 3170 9 taken take VBN 63372 3170 10 the the DT 63372 3170 11 fly fly NN 63372 3170 12 for for IN 63372 3170 13 the the DT 63372 3170 14 hero hero NN 63372 3170 15 of of IN 63372 3170 16 the the DT 63372 3170 17 piece piece NN 63372 3170 18 and and CC 63372 3170 19 moved move VBD 63372 3170 20 the the DT 63372 3170 21 camera camera NN 63372 3170 22 about about IN 63372 3170 23 so so IN 63372 3170 24 as as IN 63372 3170 25 to to TO 63372 3170 26 keep keep VB 63372 3170 27 the the DT 63372 3170 28 fly fly NN 63372 3170 29 more more RBR 63372 3170 30 or or CC 63372 3170 31 less less RBR 63372 3170 32 central central JJ 63372 3170 33 in in IN 63372 3170 34 the the DT 63372 3170 35 picture picture NN 63372 3170 36 ; ; : 63372 3170 37 or or CC 63372 3170 38 he -PRON- PRP 63372 3170 39 might may MD 63372 3170 40 , , , 63372 3170 41 by by IN 63372 3170 42 turning turn VBG 63372 3170 43 the the DT 63372 3170 44 handle handle NN 63372 3170 45 first first RB 63372 3170 46 fast fast RB 63372 3170 47 and and CC 63372 3170 48 then then RB 63372 3170 49 slow slow JJ 63372 3170 50 and and CC 63372 3170 51 by by IN 63372 3170 52 moving move VBG 63372 3170 53 the the DT 63372 3170 54 camera camera NN 63372 3170 55 , , , 63372 3170 56 have have VBP 63372 3170 57 made make VBN 63372 3170 58 the the DT 63372 3170 59 fly fly NN 63372 3170 60 appear appear VB 63372 3170 61 to to TO 63372 3170 62 be be VB 63372 3170 63 doing do VBG 63372 3170 64 stunts stunt NNS 63372 3170 65 . . . 63372 3171 1 Moving move VBG 63372 3171 2 the the DT 63372 3171 3 camera camera NN 63372 3171 4 would would MD 63372 3171 5 change change VB 63372 3171 6 the the DT 63372 3171 7 axes axis NNS 63372 3171 8 of of IN 63372 3171 9 $ $ $ 63372 3171 10 x$ x$ NNP 63372 3171 11 and and CC 63372 3171 12 $ $ $ 63372 3171 13 y$ y$ NNP 63372 3171 14 , , , 63372 3171 15 and and CC 63372 3171 16 turning turn VBG 63372 3171 17 the the DT 63372 3171 18 handle handle NN 63372 3171 19 at at IN 63372 3171 20 different different JJ 63372 3171 21 speeds speed NNS 63372 3171 22 would would MD 63372 3171 23 change change VB 63372 3171 24 the the DT 63372 3171 25 axis axi NNS 63372 3171 26 of of IN 63372 3171 27 time time NN 63372 3171 28 . . . 63372 3172 1 Again again RB 63372 3172 2 , , , 63372 3172 3 we -PRON- PRP 63372 3172 4 might may MD 63372 3172 5 change change VB 63372 3172 6 the the DT 63372 3172 7 axes axis NNS 63372 3172 8 by by IN 63372 3172 9 pushing push VBG 63372 3172 10 the the DT 63372 3172 11 block block NN 63372 3172 12 out out IN 63372 3172 13 of of IN 63372 3172 14 shape shape NN 63372 3172 15 or or CC 63372 3172 16 by by IN 63372 3172 17 distorting distort VBG 63372 3172 18 it -PRON- PRP 63372 3172 19 into into IN 63372 3172 20 a a DT 63372 3172 21 state state NN 63372 3172 22 of of IN 63372 3172 23 strain strain NN 63372 3172 24 . . . 63372 3173 1 Whatever whatever WDT 63372 3173 2 change change NN 63372 3173 3 of of IN 63372 3173 4 axes axis NNS 63372 3173 5 we -PRON- PRP 63372 3173 6 make make VBP 63372 3173 7 , , , 63372 3173 8 any any DT 63372 3173 9 dot dot NN 63372 3173 10 in in IN 63372 3173 11 the the DT 63372 3173 12 block block NN 63372 3173 13 of of IN 63372 3173 14 film film NN 63372 3173 15 will will MD 63372 3173 16 signify signify VB 63372 3173 17 a a DT 63372 3173 18 coincidence coincidence NN 63372 3173 19 of of IN 63372 3173 20 the the DT 63372 3173 21 fly fly NN 63372 3173 22 with with IN 63372 3173 23 a a DT 63372 3173 24 certain certain JJ 63372 3173 25 point point NN 63372 3173 26 of of IN 63372 3173 27 the the DT 63372 3173 28 paper paper NN 63372 3173 29 at at IN 63372 3173 30 a a DT 63372 3173 31 certain certain JJ 63372 3173 32 time time NN 63372 3173 33 , , , 63372 3173 34 and and CC 63372 3173 35 the the DT 63372 3173 36 series series NN 63372 3173 37 of of IN 63372 3173 38 dots dot NNS 63372 3173 39 will will MD 63372 3173 40 , , , 63372 3173 41 in in IN 63372 3173 42 every every DT 63372 3173 43 case case NN 63372 3173 44 , , , 63372 3173 45 be be VB 63372 3173 46 a a DT 63372 3173 47 representation representation NN 63372 3173 48 of of IN 63372 3173 49 the the DT 63372 3173 50 motion motion NN 63372 3173 51 of of IN 63372 3173 52 the the DT 63372 3173 53 fly fly NN 63372 3173 54 . . . 63372 3174 1 Maybe maybe RB 63372 3174 2 the the DT 63372 3174 3 representation representation NN 63372 3174 4 will will MD 63372 3174 5 be be VB 63372 3174 6 a a DT 63372 3174 7 distorted distorted JJ 63372 3174 8 one one CD 63372 3174 9 , , , 63372 3174 10 but but CC 63372 3174 11 who who WP 63372 3174 12 is be VBZ 63372 3174 13 to to TO 63372 3174 14 say say VB 63372 3174 15 which which WDT 63372 3174 16 is be VBZ 63372 3174 17 the the DT 63372 3174 18 absolutely absolutely RB 63372 3174 19 undistorted undistorted JJ 63372 3174 20 representation representation NN 63372 3174 21 ? ? . 63372 3175 1 The the DT 63372 3175 2 principle principle NN 63372 3175 3 of of IN 63372 3175 4 relativity relativity NN 63372 3175 5 which which WDT 63372 3175 6 we -PRON- PRP 63372 3175 7 laid lay VBD 63372 3175 8 down down RP 63372 3175 9 before before RB 63372 3175 10 says say VBZ 63372 3175 11 that that IN 63372 3175 12 no no DT 63372 3175 13 one one CD 63372 3175 14 set set NN 63372 3175 15 of of IN 63372 3175 16 coordinates coordinate NNS 63372 3175 17 will will MD 63372 3175 18 give give VB 63372 3175 19 the the DT 63372 3175 20 absolute absolute JJ 63372 3175 21 motion motion NN 63372 3175 22 of of IN 63372 3175 23 the the DT 63372 3175 24 fly fly NN 63372 3175 25 , , , 63372 3175 26 so so IN 63372 3175 27 that that IN 63372 3175 28 one one CD 63372 3175 29 set set NN 63372 3175 30 is be VBZ 63372 3175 31 as as RB 63372 3175 32 good good JJ 63372 3175 33 as as IN 63372 3175 34 another another DT 63372 3175 35 . . . 63372 3176 1 The the DT 63372 3176 2 principle principle NN 63372 3176 3 that that IN 63372 3176 4 all all DT 63372 3176 5 motion motion NN 63372 3176 6 is be VBZ 63372 3176 7 relative relative JJ 63372 3176 8 means mean NNS 63372 3176 9 , , , 63372 3176 10 therefore therefore RB 63372 3176 11 , , , 63372 3176 12 that that IN 63372 3176 13 no no RB 63372 3176 14 matter matter RB 63372 3176 15 how how WRB 63372 3176 16 we -PRON- PRP 63372 3176 17 change change VBP 63372 3176 18 our -PRON- PRP$ 63372 3176 19 coordinates coordinate NNS 63372 3176 20 of of IN 63372 3176 21 space space NN 63372 3176 22 - - HYPH 63372 3176 23 time time NN 63372 3176 24 , , , 63372 3176 25 the the DT 63372 3176 26 laws law NNS 63372 3176 27 of of IN 63372 3176 28 motion motion NN 63372 3176 29 which which WDT 63372 3176 30 we -PRON- PRP 63372 3176 31 deduce deduce VBP 63372 3176 32 must must MD 63372 3176 33 be be VB 63372 3176 34 the the DT 63372 3176 35 same same JJ 63372 3176 36 for for IN 63372 3176 37 all all DT 63372 3176 38 changes change NNS 63372 3176 39 . . . 63372 3177 1 To to TO 63372 3177 2 use use VB 63372 3177 3 an an DT 63372 3177 4 analogy analogy NN 63372 3177 5 , , , 63372 3177 6 the the DT 63372 3177 7 sculptured sculptured JJ 63372 3177 8 head head NN 63372 3177 9 of of IN 63372 3177 10 Shakespeare Shakespeare NNP 63372 3177 11 on on IN 63372 3177 12 my -PRON- PRP$ 63372 3177 13 table table NN 63372 3177 14 may may MD 63372 3177 15 appear appear VB 63372 3177 16 to to TO 63372 3177 17 have have VB 63372 3177 18 hollow hollow JJ 63372 3177 19 cheeks cheek NNS 63372 3177 20 when when WRB 63372 3177 21 I -PRON- PRP 63372 3177 22 admit admit VBP 63372 3177 23 light light NN 63372 3177 24 from from IN 63372 3177 25 the the DT 63372 3177 26 east east NNP 63372 3177 27 window window NN 63372 3177 28 only only RB 63372 3177 29 , , , 63372 3177 30 or or CC 63372 3177 31 to to TO 63372 3177 32 have have VB 63372 3177 33 sunken sink VBN 63372 3177 34 eyes eye NNS 63372 3177 35 with with IN 63372 3177 36 light light NN 63372 3177 37 from from IN 63372 3177 38 the the DT 63372 3177 39 skylight skylight NN 63372 3177 40 in in IN 63372 3177 41 the the DT 63372 3177 42 roof roof NN 63372 3177 43 , , , 63372 3177 44 but but CC 63372 3177 45 the the DT 63372 3177 46 true true JJ 63372 3177 47 shape shape NN 63372 3177 48 of of IN 63372 3177 49 the the DT 63372 3177 50 head head NN 63372 3177 51 remains remain VBZ 63372 3177 52 the the DT 63372 3177 53 same same JJ 63372 3177 54 in in IN 63372 3177 55 all all DT 63372 3177 56 lights light NNS 63372 3177 57 . . . 63372 3178 1 Hence hence RB 63372 3178 2 , , , 63372 3178 3 if if IN 63372 3178 4 with with IN 63372 3178 5 reference reference NN 63372 3178 6 to to IN 63372 3178 7 two two CD 63372 3178 8 consecutive consecutive JJ 63372 3178 9 dots dot NNS 63372 3178 10 in in IN 63372 3178 11 our -PRON- PRP$ 63372 3178 12 block block NN 63372 3178 13 of of IN 63372 3178 14 film film NN 63372 3178 15 a a DT 63372 3178 16 mathematical mathematical JJ 63372 3178 17 quantity quantity NN 63372 3178 18 can can MD 63372 3178 19 be be VB 63372 3178 20 found find VBN 63372 3178 21 which which WDT 63372 3178 22 will will MD 63372 3178 23 not not RB 63372 3178 24 change change VB 63372 3178 25 no no RB 63372 3178 26 matter matter RB 63372 3178 27 how how WRB 63372 3178 28 we -PRON- PRP 63372 3178 29 changes change VBZ 63372 3178 30 our -PRON- PRP$ 63372 3178 31 axes axis NNS 63372 3178 32 of of IN 63372 3178 33 coordinates coordinate NNS 63372 3178 34 , , , 63372 3178 35 that that DT 63372 3178 36 quantity quantity NN 63372 3178 37 must must MD 63372 3178 38 be be VB 63372 3178 39 an an DT 63372 3178 40 expression expression NN 63372 3178 41 of of IN 63372 3178 42 the the DT 63372 3178 43 true true JJ 63372 3178 44 law law NN 63372 3178 45 of of IN 63372 3178 46 motion motion NN 63372 3178 47 of of IN 63372 3178 48 the the DT 63372 3178 49 fly fly NN 63372 3178 50 between between IN 63372 3178 51 the the DT 63372 3178 52 two two CD 63372 3178 53 points point NNS 63372 3178 54 of of IN 63372 3178 55 the the DT 63372 3178 56 paper paper NN 63372 3178 57 and and CC 63372 3178 58 the the DT 63372 3178 59 two two CD 63372 3178 60 times time NNS 63372 3178 61 represented represent VBN 63372 3178 62 by by IN 63372 3178 63 these these DT 63372 3178 64 two two CD 63372 3178 65 dots dot NNS 63372 3178 66 . . . 63372 3179 1 Einstein Einstein NNP 63372 3179 2 has have VBZ 63372 3179 3 worked work VBN 63372 3179 4 out out RP 63372 3179 5 such such PDT 63372 3179 6 a a DT 63372 3179 7 quantity quantity NN 63372 3179 8 remaining remain VBG 63372 3179 9 constant constant JJ 63372 3179 10 for for IN 63372 3179 11 all all DT 63372 3179 12 changes change NNS 63372 3179 13 of of IN 63372 3179 14 coordinates coordinate NNS 63372 3179 15 of of IN 63372 3179 16 the the DT 63372 3179 17 four four CD 63372 3179 18 dimensional dimensional JJ 63372 3179 19 world world NN 63372 3179 20 of of IN 63372 3179 21 space space NN 63372 3179 22 - - HYPH 63372 3179 23 time time NN 63372 3179 24 . . . 63372 3180 1 In in IN 63372 3180 2 passing pass VBG 63372 3180 3 we -PRON- PRP 63372 3180 4 may may MD 63372 3180 5 notice notice VB 63372 3180 6 a a DT 63372 3180 7 feature feature NN 63372 3180 8 of of IN 63372 3180 9 Einstein Einstein NNP 63372 3180 10 's 's POS 63372 3180 11 world world NN 63372 3180 12 of of IN 63372 3180 13 space space NN 63372 3180 14 - - HYPH 63372 3180 15 time time NN 63372 3180 16 which which WDT 63372 3180 17 we -PRON- PRP 63372 3180 18 shall shall MD 63372 3180 19 doubtless doubtless RB 63372 3180 20 find find VB 63372 3180 21 it -PRON- PRP 63372 3180 22 difficult difficult JJ 63372 3180 23 to to TO 63372 3180 24 conceive conceive VB 63372 3180 25 , , , 63372 3180 26 namely namely RB 63372 3180 27 , , , 63372 3180 28 that that IN 63372 3180 29 there there EX 63372 3180 30 is be VBZ 63372 3180 31 no no DT 63372 3180 32 essential essential JJ 63372 3180 33 difference difference NN 63372 3180 34 between between IN 63372 3180 35 a a DT 63372 3180 36 time time NN 63372 3180 37 and and CC 63372 3180 38 a a DT 63372 3180 39 distance distance NN 63372 3180 40 in in IN 63372 3180 41 space space NN 63372 3180 42 . . . 63372 3181 1 Since since IN 63372 3181 2 one one CD 63372 3181 3 set set NN 63372 3181 4 of of IN 63372 3181 5 coordinates coordinate NNS 63372 3181 6 is be VBZ 63372 3181 7 as as RB 63372 3181 8 good good JJ 63372 3181 9 as as IN 63372 3181 10 another another DT 63372 3181 11 , , , 63372 3181 12 we -PRON- PRP 63372 3181 13 can can MD 63372 3181 14 transform transform VB 63372 3181 15 time time NN 63372 3181 16 into into IN 63372 3181 17 space space NN 63372 3181 18 and and CC 63372 3181 19 space space NN 63372 3181 20 into into IN 63372 3181 21 time time NN 63372 3181 22 according accord VBG 63372 3181 23 as as IN 63372 3181 24 we -PRON- PRP 63372 3181 25 choose choose VBP 63372 3181 26 our -PRON- PRP$ 63372 3181 27 axes axis NNS 63372 3181 28 . . . 63372 3182 1 For for IN 63372 3182 2 example example NN 63372 3182 3 if if IN 63372 3182 4 we -PRON- PRP 63372 3182 5 change change VBP 63372 3182 6 $ $ $ 63372 3182 7 OX$ ox$ CD 63372 3182 8 , , , 63372 3182 9 $ $ $ 63372 3182 10 OT$ ot$ CD 63372 3182 11 , , , 63372 3182 12 the the DT 63372 3182 13 axes axis NNS 63372 3182 14 of of IN 63372 3182 15 $ $ $ 63372 3182 16 x$ x$ NNP 63372 3182 17 and and CC 63372 3182 18 time time NN 63372 3182 19 in in IN 63372 3182 20 Fig Fig NNP 63372 3182 21 . . . 63372 3183 1 2 2 LS 63372 3183 2 , , , 63372 3183 3 into into IN 63372 3183 4 $ $ $ 63372 3183 5 OX'$ ox'$ NN 63372 3183 6 , , , 63372 3183 7 $ $ $ 63372 3183 8 OT'$ ot'$ NN 63372 3183 9 by by IN 63372 3183 10 a a DT 63372 3183 11 simple simple JJ 63372 3183 12 rotation rotation NN 63372 3183 13 , , , 63372 3183 14 the the DT 63372 3183 15 new new JJ 63372 3183 16 time time NN 63372 3183 17 represented represent VBN 63372 3183 18 by by IN 63372 3183 19 $ $ $ 63372 3183 20 OT'$ ot'$ NN 63372 3183 21 consists consist VBZ 63372 3183 22 partly partly RB 63372 3183 23 of of IN 63372 3183 24 $ $ $ 63372 3183 25 OA$ oa$ CD 63372 3183 26 in in IN 63372 3183 27 the the DT 63372 3183 28 old old JJ 63372 3183 29 time time NN 63372 3183 30 and and CC 63372 3183 31 partly partly RB 63372 3183 32 of of IN 63372 3183 33 $ $ $ 63372 3183 34 OB ob NN 63372 3183 35 in in IN 63372 3183 36 the the DT 63372 3183 37 old old JJ 63372 3183 38 $ $ $ 63372 3183 39 x$ x$ NNP 63372 3183 40 direction direction NN 63372 3183 41 . . . 63372 3184 1 Referring refer VBG 63372 3184 2 to to IN 63372 3184 3 our -PRON- PRP$ 63372 3184 4 block block NN 63372 3184 5 of of IN 63372 3184 6 movie movie NN 63372 3184 7 film film NN 63372 3184 8 again again RB 63372 3184 9 , , , 63372 3184 10 it -PRON- PRP 63372 3184 11 means mean VBZ 63372 3184 12 that that IN 63372 3184 13 although although IN 63372 3184 14 I -PRON- PRP 63372 3184 15 might may MD 63372 3184 16 separate separate VB 63372 3184 17 the the DT 63372 3184 18 block block NN 63372 3184 19 into into IN 63372 3184 20 space space NN 63372 3184 21 and and CC 63372 3184 22 time time NN 63372 3184 23 by by IN 63372 3184 24 slicing slice VBG 63372 3184 25 it -PRON- PRP 63372 3184 26 into into IN 63372 3184 27 the the DT 63372 3184 28 original original JJ 63372 3184 29 pictures picture NNS 63372 3184 30 , , , 63372 3184 31 I -PRON- PRP 63372 3184 32 can can MD 63372 3184 33 just just RB 63372 3184 34 as as RB 63372 3184 35 readily readily RB 63372 3184 36 slice slice VB 63372 3184 37 it -PRON- PRP 63372 3184 38 in in IN 63372 3184 39 any any DT 63372 3184 40 direction direction NN 63372 3184 41 I -PRON- PRP 63372 3184 42 choose choose VBP 63372 3184 43 and and CC 63372 3184 44 still still RB 63372 3184 45 get get VB 63372 3184 46 individual individual JJ 63372 3184 47 pictures picture NNS 63372 3184 48 representing represent VBG 63372 3184 49 the the DT 63372 3184 50 motion motion NN 63372 3184 51 of of IN 63372 3184 52 the the DT 63372 3184 53 fly fly NN 63372 3184 54 but but CC 63372 3184 55 with with IN 63372 3184 56 , , , 63372 3184 57 of of IN 63372 3184 58 course course NN 63372 3184 59 , , , 63372 3184 60 new new JJ 63372 3184 61 time time NN 63372 3184 62 and and CC 63372 3184 63 space space NN 63372 3184 64 . . . 63372 3185 1 So so CC 63372 3185 2 whilst whilst UH 63372 3185 3 I -PRON- PRP 63372 3185 4 may may MD 63372 3185 5 be be VB 63372 3185 6 believe believe VB 63372 3185 7 that that IN 63372 3185 8 a a DT 63372 3185 9 liner liner NN 63372 3185 10 has have VBZ 63372 3185 11 travelled travel VBN 63372 3185 12 3,000 3,000 CD 63372 3185 13 miles mile NNS 63372 3185 14 in in IN 63372 3185 15 4 4 CD 63372 3185 16 days day NNS 63372 3185 17 , , , 63372 3185 18 an an DT 63372 3185 19 observer observer NN 63372 3185 20 on on IN 63372 3185 21 a a DT 63372 3185 22 star star NN 63372 3185 23 who who WP 63372 3185 24 knows know VBZ 63372 3185 25 nothing nothing NN 63372 3185 26 of of IN 63372 3185 27 my -PRON- PRP$ 63372 3185 28 particular particular JJ 63372 3185 29 axes axis NNS 63372 3185 30 in in IN 63372 3185 31 space space NN 63372 3185 32 - - HYPH 63372 3185 33 time time NN 63372 3185 34 may may MD 63372 3185 35 say say VB 63372 3185 36 , , , 63372 3185 37 with with IN 63372 3185 38 equal equal JJ 63372 3185 39 truth truth NN 63372 3185 40 , , , 63372 3185 41 that that IN 63372 3185 42 it -PRON- PRP 63372 3185 43 went go VBD 63372 3185 44 2,000 2,000 CD 63372 3185 45 miles mile NNS 63372 3185 46 in in IN 63372 3185 47 7 7 CD 63372 3185 48 days day NNS 63372 3185 49 . . . 63372 3186 1 Thus thus RB 63372 3186 2 , , , 63372 3186 3 time time NN 63372 3186 4 and and CC 63372 3186 5 space space NN 63372 3186 6 are be VBP 63372 3186 7 not not RB 63372 3186 8 two two CD 63372 3186 9 separate separate JJ 63372 3186 10 identities identity NNS 63372 3186 11 in in IN 63372 3186 12 Einstein Einstein NNP 63372 3186 13 's 's POS 63372 3186 14 view view NN 63372 3186 15 ; ; : 63372 3186 16 there there EX 63372 3186 17 only only RB 63372 3186 18 exists exist VBZ 63372 3186 19 a a DT 63372 3186 20 world world NN 63372 3186 21 of of IN 63372 3186 22 four four CD 63372 3186 23 dimensions dimension NNS 63372 3186 24 which which WDT 63372 3186 25 we -PRON- PRP 63372 3186 26 can can MD 63372 3186 27 split split VB 63372 3186 28 up up RP 63372 3186 29 into into IN 63372 3186 30 time time NN 63372 3186 31 and and CC 63372 3186 32 space space NN 63372 3186 33 as as IN 63372 3186 34 we -PRON- PRP 63372 3186 35 choose choose VBP 63372 3186 36 . . . 63372 3187 1 Let let VB 63372 3187 2 us -PRON- PRP 63372 3187 3 see see VB 63372 3187 4 now now RB 63372 3187 5 how how WRB 63372 3187 6 Einstein Einstein NNP 63372 3187 7 explains explain VBZ 63372 3187 8 gravitation gravitation NN 63372 3187 9 . . . 63372 3188 1 When when WRB 63372 3188 2 a a DT 63372 3188 3 body body NN 63372 3188 4 is be VBZ 63372 3188 5 not not RB 63372 3188 6 acted act VBN 63372 3188 7 on on IN 63372 3188 8 by by IN 63372 3188 9 any any DT 63372 3188 10 forces force NNS 63372 3188 11 ( ( -LRB- 63372 3188 12 except except IN 63372 3188 13 gravitation gravitation NN 63372 3188 14 ) ) -RRB- 63372 3188 15 the the DT 63372 3188 16 quantity quantity NN 63372 3188 17 which which WDT 63372 3188 18 remains remain VBZ 63372 3188 19 constant constant JJ 63372 3188 20 for for IN 63372 3188 21 all all DT 63372 3188 22 changes change NNS 63372 3188 23 of of IN 63372 3188 24 coordinates coordinate NNS 63372 3188 25 implies imply VBZ 63372 3188 26 that that IN 63372 3188 27 the the DT 63372 3188 28 body body NN 63372 3188 29 will will MD 63372 3188 30 follow follow VB 63372 3188 31 that that DT 63372 3188 32 path path NN 63372 3188 33 in in IN 63372 3188 34 the the DT 63372 3188 35 space space NN 63372 3188 36 of of IN 63372 3188 37 an an DT 63372 3188 38 outside outside JJ 63372 3188 39 observer observer NN 63372 3188 40 which which WDT 63372 3188 41 takes take VBZ 63372 3188 42 the the DT 63372 3188 43 least least JJS 63372 3188 44 time time NN 63372 3188 45 . . . 63372 3189 1 It -PRON- PRP 63372 3189 2 is be VBZ 63372 3189 3 an an DT 63372 3189 4 observed observed JJ 63372 3189 5 fact fact NN 63372 3189 6 that that IN 63372 3189 7 one one CD 63372 3189 8 body body NN 63372 3189 9 attracts attract VBZ 63372 3189 10 another another DT 63372 3189 11 by by IN 63372 3189 12 gravitation gravitation NN 63372 3189 13 ; ; : 63372 3189 14 that that RB 63372 3189 15 is is RB 63372 3189 16 , , , 63372 3189 17 the the DT 63372 3189 18 path path NN 63372 3189 19 of of IN 63372 3189 20 one one CD 63372 3189 21 body body NN 63372 3189 22 is be VBZ 63372 3189 23 bent bent JJ 63372 3189 24 from from IN 63372 3189 25 its -PRON- PRP$ 63372 3189 26 course course NN 63372 3189 27 by by IN 63372 3189 28 the the DT 63372 3189 29 presence presence NN 63372 3189 30 of of IN 63372 3189 31 another another DT 63372 3189 32 . . . 63372 3190 1 Now now RB 63372 3190 2 we -PRON- PRP 63372 3190 3 can can MD 63372 3190 4 bend bend VB 63372 3190 5 the the DT 63372 3190 6 path path NN 63372 3190 7 of of IN 63372 3190 8 the the DT 63372 3190 9 fly fly NN 63372 3190 10 in in IN 63372 3190 11 our -PRON- PRP$ 63372 3190 12 block block NN 63372 3190 13 of of IN 63372 3190 14 film film NN 63372 3190 15 by by IN 63372 3190 16 straining strain VBG 63372 3190 17 the the DT 63372 3190 18 block block NN 63372 3190 19 in in IN 63372 3190 20 some some DT 63372 3190 21 way way NN 63372 3190 22 . . . 63372 3191 1 Suppose suppose VB 63372 3191 2 , , , 63372 3191 3 therefore therefore RB 63372 3191 4 , , , 63372 3191 5 that that IN 63372 3191 6 I -PRON- PRP 63372 3191 7 strain strain VBP 63372 3191 8 the the DT 63372 3191 9 world world NN 63372 3191 10 so so IN 63372 3191 11 as as IN 63372 3191 12 to to TO 63372 3191 13 bend bend VB 63372 3191 14 the the DT 63372 3191 15 path path NN 63372 3191 16 of of IN 63372 3191 17 a a DT 63372 3191 18 body body NN 63372 3191 19 exactly exactly RB 63372 3191 20 as as IN 63372 3191 21 the the DT 63372 3191 22 gravitation gravitation NN 63372 3191 23 due due IN 63372 3191 24 to to IN 63372 3191 25 some some DT 63372 3191 26 other other JJ 63372 3191 27 body body NN 63372 3191 28 bends bend VBZ 63372 3191 29 it -PRON- PRP 63372 3191 30 ; ; : 63372 3191 31 i.e. i.e. FW 63372 3191 32 , , , 63372 3191 33 by by IN 63372 3191 34 a a DT 63372 3191 35 change change NN 63372 3191 36 of of IN 63372 3191 37 coordinates coordinate NNS 63372 3191 38 I -PRON- PRP 63372 3191 39 have have VBP 63372 3191 40 obtained obtain VBN 63372 3191 41 the the DT 63372 3191 42 same same JJ 63372 3191 43 effect effect NN 63372 3191 44 as as IN 63372 3191 45 that that DT 63372 3191 46 produced produce VBN 63372 3191 47 by by IN 63372 3191 48 gravitation gravitation NN 63372 3191 49 . . . 63372 3192 1 Einstein Einstein NNP 63372 3192 2 's 's POS 63372 3192 3 theory theory NN 63372 3192 4 , , , 63372 3192 5 therefore therefore RB 63372 3192 6 , , , 63372 3192 7 explains explain VBZ 63372 3192 8 gravitation gravitation NN 63372 3192 9 as as IN 63372 3192 10 a a DT 63372 3192 11 distortion distortion NN 63372 3192 12 of of IN 63372 3192 13 the the DT 63372 3192 14 world world NN 63372 3192 15 of of IN 63372 3192 16 space space NN 63372 3192 17 - - HYPH 63372 3192 18 time time NN 63372 3192 19 due due IN 63372 3192 20 to to IN 63372 3192 21 the the DT 63372 3192 22 presence presence NN 63372 3192 23 of of IN 63372 3192 24 matter matter NN 63372 3192 25 . . . 63372 3193 1 Suppose suppose VB 63372 3193 2 first first RB 63372 3193 3 that that IN 63372 3193 4 a a DT 63372 3193 5 body body NN 63372 3193 6 is be VBZ 63372 3193 7 moving move VBG 63372 3193 8 with with IN 63372 3193 9 no no DT 63372 3193 10 other other JJ 63372 3193 11 bodies body NNS 63372 3193 12 near near RB 63372 3193 13 ; ; : 63372 3193 14 according accord VBG 63372 3193 15 to to IN 63372 3193 16 Einstein Einstein NNP 63372 3193 17 it -PRON- PRP 63372 3193 18 will will MD 63372 3193 19 take take VB 63372 3193 20 the the DT 63372 3193 21 path path NN 63372 3193 22 in in IN 63372 3193 23 space space NN 63372 3193 24 which which WDT 63372 3193 25 requires require VBZ 63372 3193 26 the the DT 63372 3193 27 least least JJS 63372 3193 28 time time NN 63372 3193 29 , , , 63372 3193 30 i.e. i.e. FW 63372 3193 31 , , , 63372 3193 32 a a DT 63372 3193 33 straight straight JJ 63372 3193 34 line line NN 63372 3193 35 as as IN 63372 3193 36 agrees agree VBZ 63372 3193 37 with with IN 63372 3193 38 our -PRON- PRP$ 63372 3193 39 experience experience NN 63372 3193 40 . . . 63372 3194 1 If if IN 63372 3194 2 now now RB 63372 3194 3 the the DT 63372 3194 4 world world NN 63372 3194 5 be be VB 63372 3194 6 strained strain VBN 63372 3194 7 by by IN 63372 3194 8 the the DT 63372 3194 9 presence presence NN 63372 3194 10 of of IN 63372 3194 11 another another DT 63372 3194 12 body body NN 63372 3194 13 or or CC 63372 3194 14 by by IN 63372 3194 15 a a DT 63372 3194 16 change change NN 63372 3194 17 of of IN 63372 3194 18 coordinates coordinate NNS 63372 3194 19 it -PRON- PRP 63372 3194 20 will will MD 63372 3194 21 still still RB 63372 3194 22 pursue pursue VB 63372 3194 23 the the DT 63372 3194 24 path path NN 63372 3194 25 of of IN 63372 3194 26 least least JJS 63372 3194 27 time time NN 63372 3194 28 , , , 63372 3194 29 but but CC 63372 3194 30 this this DT 63372 3194 31 path path NN 63372 3194 32 is be VBZ 63372 3194 33 now now RB 63372 3194 34 distorted distort VBN 63372 3194 35 from from IN 63372 3194 36 the the DT 63372 3194 37 straight straight JJ 63372 3194 38 line line NN 63372 3194 39 , , , 63372 3194 40 just just RB 63372 3194 41 as as IN 63372 3194 42 in in IN 63372 3194 43 a a DT 63372 3194 44 similar similar JJ 63372 3194 45 way way NN 63372 3194 46 the the DT 63372 3194 47 path path NN 63372 3194 48 on on IN 63372 3194 49 a a DT 63372 3194 50 globe globe NN 63372 3194 51 requiring require VBG 63372 3194 52 the the DT 63372 3194 53 least least JJS 63372 3194 54 time time NN 63372 3194 55 to to TO 63372 3194 56 travel travel VB 63372 3194 57 follows follow VBZ 63372 3194 58 a a DT 63372 3194 59 great great JJ 63372 3194 60 circle circle NN 63372 3194 61 . . . 63372 3195 1 So so RB 63372 3195 2 , , , 63372 3195 3 on on IN 63372 3195 4 Einstein Einstein NNP 63372 3195 5 's 's POS 63372 3195 6 view view NN 63372 3195 7 of of IN 63372 3195 8 gravitation gravitation NN 63372 3195 9 , , , 63372 3195 10 the the DT 63372 3195 11 earth earth NN 63372 3195 12 moves move VBZ 63372 3195 13 in in IN 63372 3195 14 an an DT 63372 3195 15 elliptical elliptical JJ 63372 3195 16 path path NN 63372 3195 17 around around IN 63372 3195 18 the the DT 63372 3195 19 sun sun NN 63372 3195 20 not not RB 63372 3195 21 because because IN 63372 3195 22 a a DT 63372 3195 23 force force NN 63372 3195 24 is be VBZ 63372 3195 25 acting act VBG 63372 3195 26 on on IN 63372 3195 27 it -PRON- PRP 63372 3195 28 , , , 63372 3195 29 but but CC 63372 3195 30 because because IN 63372 3195 31 the the DT 63372 3195 32 world world NN 63372 3195 33 of of IN 63372 3195 34 space space NN 63372 3195 35 - - HYPH 63372 3195 36 time time NN 63372 3195 37 is be VBZ 63372 3195 38 so so RB 63372 3195 39 distorted distorted JJ 63372 3195 40 by by IN 63372 3195 41 the the DT 63372 3195 42 presence presence NN 63372 3195 43 of of IN 63372 3195 44 the the DT 63372 3195 45 sun sun NN 63372 3195 46 that that IN 63372 3195 47 the the DT 63372 3195 48 path path NN 63372 3195 49 of of IN 63372 3195 50 least least JJS 63372 3195 51 time time NN 63372 3195 52 through through IN 63372 3195 53 space space NN 63372 3195 54 is be VBZ 63372 3195 55 the the DT 63372 3195 56 elliptical elliptical JJ 63372 3195 57 path path NN 63372 3195 58 observed observe VBN 63372 3195 59 . . . 63372 3196 1 There there EX 63372 3196 2 is be VBZ 63372 3196 3 , , , 63372 3196 4 therefore therefore RB 63372 3196 5 , , , 63372 3196 6 no no DT 63372 3196 7 need need NN 63372 3196 8 to to TO 63372 3196 9 introduce introduce VB 63372 3196 10 any any DT 63372 3196 11 idea idea NN 63372 3196 12 of of IN 63372 3196 13 " " `` 63372 3196 14 force force NN 63372 3196 15 " " '' 63372 3196 16 of of IN 63372 3196 17 gravitation gravitation NN 63372 3196 18 . . . 63372 3197 1 Einstein Einstein NNP 63372 3197 2 's 's POS 63372 3197 3 theory theory NN 63372 3197 4 explains explain VBZ 63372 3197 5 gravitation gravitation NN 63372 3197 6 only only RB 63372 3197 7 in in IN 63372 3197 8 the the DT 63372 3197 9 sense sense NN 63372 3197 10 that that IN 63372 3197 11 he -PRON- PRP 63372 3197 12 has have VBZ 63372 3197 13 explained explain VBN 63372 3197 14 it -PRON- PRP 63372 3197 15 away away RB 63372 3197 16 as as IN 63372 3197 17 a a DT 63372 3197 18 force force NN 63372 3197 19 of of IN 63372 3197 20 nature nature NN 63372 3197 21 and and CC 63372 3197 22 makes make VBZ 63372 3197 23 it -PRON- PRP 63372 3197 24 a a DT 63372 3197 25 property property NN 63372 3197 26 of of IN 63372 3197 27 space space NN 63372 3197 28 - - HYPH 63372 3197 29 time time NN 63372 3197 30 , , , 63372 3197 31 namely namely RB 63372 3197 32 , , , 63372 3197 33 a a DT 63372 3197 34 distortion distortion NN 63372 3197 35 not not RB 63372 3197 36 different different JJ 63372 3197 37 from from IN 63372 3197 38 an an DT 63372 3197 39 appropriate appropriate JJ 63372 3197 40 change change NN 63372 3197 41 of of IN 63372 3197 42 coordinates coordinate NNS 63372 3197 43 . . . 63372 3198 1 He -PRON- PRP 63372 3198 2 does do VBZ 63372 3198 3 not not RB 63372 3198 4 , , , 63372 3198 5 however however RB 63372 3198 6 , , , 63372 3198 7 explain explain VBP 63372 3198 8 how how WRB 63372 3198 9 or or CC 63372 3198 10 why why WRB 63372 3198 11 a a DT 63372 3198 12 body body NN 63372 3198 13 can can MD 63372 3198 14 distort distort VB 63372 3198 15 space space NN 63372 3198 16 - - HYPH 63372 3198 17 time time NN 63372 3198 18 . . . 63372 3199 1 It -PRON- PRP 63372 3199 2 is be VBZ 63372 3199 3 noteworthy noteworthy JJ 63372 3199 4 that that IN 63372 3199 5 whilst whilst IN 63372 3199 6 the the DT 63372 3199 7 law law NN 63372 3199 8 of of IN 63372 3199 9 gravitation gravitation NN 63372 3199 10 and and CC 63372 3199 11 the the DT 63372 3199 12 law law NN 63372 3199 13 of of IN 63372 3199 14 uniform uniform JJ 63372 3199 15 motion motion NN 63372 3199 16 in in IN 63372 3199 17 a a DT 63372 3199 18 straight straight JJ 63372 3199 19 line line NN 63372 3199 20 when when WRB 63372 3199 21 no no DT 63372 3199 22 force force NN 63372 3199 23 is be VBZ 63372 3199 24 acting act VBG 63372 3199 25 were be VBD 63372 3199 26 separate separate JJ 63372 3199 27 and and CC 63372 3199 28 independent independent JJ 63372 3199 29 laws law NNS 63372 3199 30 under under IN 63372 3199 31 Newton Newton NNP 63372 3199 32 , , , 63372 3199 33 Einstein Einstein NNP 63372 3199 34 finds find VBZ 63372 3199 35 one one CD 63372 3199 36 explanation explanation NN 63372 3199 37 for for IN 63372 3199 38 both both DT 63372 3199 39 under under IN 63372 3199 40 the the DT 63372 3199 41 principle principle NN 63372 3199 42 of of IN 63372 3199 43 relativity relativity NN 63372 3199 44 . . . 63372 3200 1 [ [ -LRB- 63372 3200 2 12 12 CD 63372 3200 3 ] ] -RRB- 63372 3200 4 XX XX NNP 63372 3200 5 EINSTEIN EINSTEIN NNP 63372 3200 6 'S 's POS 63372 3200 7 THEORY theory NN 63372 3200 8 OF of IN 63372 3200 9 GRAVITATION gravitation NN 63372 3200 10 The the DT 63372 3200 11 Discussion Discussion NNP 63372 3200 12 of of IN 63372 3200 13 the the DT 63372 3200 14 General General NNP 63372 3200 15 Theory Theory NNP 63372 3200 16 and and CC 63372 3200 17 Its -PRON- PRP$ 63372 3200 18 Most most RBS 63372 3200 19 Important important JJ 63372 3200 20 Application application NN 63372 3200 21 , , , 63372 3200 22 from from IN 63372 3200 23 the the DT 63372 3200 24 Essay Essay NNP 63372 3200 25 by by IN 63372 3200 26 PROF PROF NNP 63372 3200 27 . . NNP 63372 3200 28 W. W. NNP 63372 3200 29 F. F. NNP 63372 3200 30 G. G. NNP 63372 3200 31 SWANN SWANN NNP 63372 3200 32 , , , 63372 3200 33 UNIVERSITY UNIVERSITY NNP 63372 3200 34 OF of IN 63372 3200 35 MINNESOTA MINNESOTA NNP 63372 3200 36 , , , 63372 3200 37 MINNEAPOLIS MINNEAPOLIS NNP 63372 3200 38 Newton Newton NNP 63372 3200 39 's 's POS 63372 3200 40 great great JJ 63372 3200 41 discovery discovery NN 63372 3200 42 regarding regard VBG 63372 3200 43 the the DT 63372 3200 44 motion motion NN 63372 3200 45 of of IN 63372 3200 46 the the DT 63372 3200 47 planets planet NNS 63372 3200 48 consisted consist VBD 63372 3200 49 in in IN 63372 3200 50 his -PRON- PRP$ 63372 3200 51 showing showing NN 63372 3200 52 that that IN 63372 3200 53 these these DT 63372 3200 54 could could MD 63372 3200 55 all all DT 63372 3200 56 be be VB 63372 3200 57 summed sum VBN 63372 3200 58 up up RP 63372 3200 59 in in IN 63372 3200 60 the the DT 63372 3200 61 following follow VBG 63372 3200 62 statement statement NN 63372 3200 63 : : : 63372 3200 64 consider consider VB 63372 3200 65 any any DT 63372 3200 66 planet planet NN 63372 3200 67 in in IN 63372 3200 68 its -PRON- PRP$ 63372 3200 69 relation relation NN 63372 3200 70 to to IN 63372 3200 71 all all DT 63372 3200 72 particles particle NNS 63372 3200 73 in in IN 63372 3200 74 the the DT 63372 3200 75 universe universe NN 63372 3200 76 . . . 63372 3201 1 Write write VB 63372 3201 2 down down RP 63372 3201 3 , , , 63372 3201 4 for for IN 63372 3201 5 the the DT 63372 3201 6 planet planet NN 63372 3201 7 , , , 63372 3201 8 in in IN 63372 3201 9 the the DT 63372 3201 10 line line NN 63372 3201 11 joining join VBG 63372 3201 12 it -PRON- PRP 63372 3201 13 to to IN 63372 3201 14 any any DT 63372 3201 15 particle particle NN 63372 3201 16 , , , 63372 3201 17 an an DT 63372 3201 18 acceleration acceleration NN 63372 3201 19 proportional proportional JJ 63372 3201 20 to to IN 63372 3201 21 the the DT 63372 3201 22 mass mass NN 63372 3201 23 of of IN 63372 3201 24 the the DT 63372 3201 25 particle particle NN 63372 3201 26 and and CC 63372 3201 27 to to IN 63372 3201 28 the the DT 63372 3201 29 inverse inverse NN 63372 3201 30 square square NN 63372 3201 31 of of IN 63372 3201 32 its -PRON- PRP$ 63372 3201 33 distance distance NN 63372 3201 34 from from IN 63372 3201 35 the the DT 63372 3201 36 planet planet NN 63372 3201 37 . . . 63372 3202 1 Then then RB 63372 3202 2 calculate calculate VB 63372 3202 3 the the DT 63372 3202 4 planet planet NN 63372 3202 5 's 's POS 63372 3202 6 resultant resultant JJ 63372 3202 7 acceleration acceleration NN 63372 3202 8 by by IN 63372 3202 9 combining combine VBG 63372 3202 10 all all PDT 63372 3202 11 the the DT 63372 3202 12 accelerations acceleration NNS 63372 3202 13 thus thus RB 63372 3202 14 obtained obtain VBD 63372 3202 15 . . . 63372 3203 1 We -PRON- PRP 63372 3203 2 have have VBP 63372 3203 3 here here RB 63372 3203 4 purposely purposely RB 63372 3203 5 avoided avoid VBN 63372 3203 6 the the DT 63372 3203 7 use use NN 63372 3203 8 of of IN 63372 3203 9 the the DT 63372 3203 10 word word NN 63372 3203 11 " " `` 63372 3203 12 force force NN 63372 3203 13 , , , 63372 3203 14 " " '' 63372 3203 15 for for IN 63372 3203 16 Newton Newton NNP 63372 3203 17 's 's POS 63372 3203 18 law law NN 63372 3203 19 is be VBZ 63372 3203 20 complete complete JJ 63372 3203 21 as as IN 63372 3203 22 a a DT 63372 3203 23 practical practical JJ 63372 3203 24 statement statement NN 63372 3203 25 of of IN 63372 3203 26 fact fact NN 63372 3203 27 without without IN 63372 3203 28 it -PRON- PRP 63372 3203 29 ; ; : 63372 3203 30 and and CC 63372 3203 31 this this DT 63372 3203 32 word word NN 63372 3203 33 adds add VBZ 63372 3203 34 nothing nothing NN 63372 3203 35 to to IN 63372 3203 36 the the DT 63372 3203 37 law law NN 63372 3203 38 by by IN 63372 3203 39 way way NN 63372 3203 40 of of IN 63372 3203 41 enhancing enhance VBG 63372 3203 42 its -PRON- PRP$ 63372 3203 43 power power NN 63372 3203 44 in in IN 63372 3203 45 actual actual JJ 63372 3203 46 use use NN 63372 3203 47 . . . 63372 3204 1 Nevertheless nevertheless RB 63372 3204 2 , , , 63372 3204 3 the the DT 63372 3204 4 fact fact NN 63372 3204 5 that that IN 63372 3204 6 the the DT 63372 3204 7 acceleration acceleration NN 63372 3204 8 is be VBZ 63372 3204 9 made make VBN 63372 3204 10 up up RP 63372 3204 11 as as IN 63372 3204 12 it -PRON- PRP 63372 3204 13 were be VBD 63372 3204 14 of of IN 63372 3204 15 non non JJ 63372 3204 16 - - JJ 63372 3204 17 interfering interfering JJ 63372 3204 18 contributions contribution NNS 63372 3204 19 from from IN 63372 3204 20 each each DT 63372 3204 21 particle particle NN 63372 3204 22 in in IN 63372 3204 23 the the DT 63372 3204 24 line line NN 63372 3204 25 joining join VBG 63372 3204 26 it -PRON- PRP 63372 3204 27 to to IN 63372 3204 28 the the DT 63372 3204 29 planet planet NN 63372 3204 30 strongly strongly RB 63372 3204 31 suggests suggest VBZ 63372 3204 32 to to IN 63372 3204 33 the the DT 63372 3204 34 mind mind NN 63372 3204 35 something something NN 63372 3204 36 of of IN 63372 3204 37 the the DT 63372 3204 38 nature nature NN 63372 3204 39 of of IN 63372 3204 40 an an DT 63372 3204 41 elastic elastic JJ 63372 3204 42 pull pull NN 63372 3204 43 for for IN 63372 3204 44 which which WDT 63372 3204 45 the the DT 63372 3204 46 particle particle NN 63372 3204 47 is be VBZ 63372 3204 48 responsible responsible JJ 63372 3204 49 , , , 63372 3204 50 and and CC 63372 3204 51 to to TO 63372 3204 52 which which WDT 63372 3204 53 the the DT 63372 3204 54 planet planet NN 63372 3204 55 's 's POS 63372 3204 56 departure departure NN 63372 3204 57 from from IN 63372 3204 58 a a DT 63372 3204 59 straight straight JJ 63372 3204 60 - - HYPH 63372 3204 61 line line NN 63372 3204 62 motion motion NN 63372 3204 63 is be VBZ 63372 3204 64 due due JJ 63372 3204 65 . . . 63372 3205 1 The the DT 63372 3205 2 mind mind NN 63372 3205 3 likes like VBZ 63372 3205 4 to to TO 63372 3205 5 think think VB 63372 3205 6 of of IN 63372 3205 7 the the DT 63372 3205 8 elastic elastic JJ 63372 3205 9 ; ; : 63372 3205 10 ever ever RB 63372 3205 11 since since IN 63372 3205 12 the the DT 63372 3205 13 time time NN 63372 3205 14 of of IN 63372 3205 15 Newton Newton NNP 63372 3205 16 people people NNS 63372 3205 17 have have VBP 63372 3205 18 sought seek VBN 63372 3205 19 to to TO 63372 3205 20 devise devise VB 63372 3205 21 some some DT 63372 3205 22 mechanism mechanism NN 63372 3205 23 by by IN 63372 3205 24 which which WDT 63372 3205 25 these these DT 63372 3205 26 pulls pull NNS 63372 3205 27 might may MD 63372 3205 28 be be VB 63372 3205 29 visualized visualize VBN 63372 3205 30 as as IN 63372 3205 31 responsible responsible JJ 63372 3205 32 for for IN 63372 3205 33 the the DT 63372 3205 34 phenomena phenomenon NNS 63372 3205 35 in in IN 63372 3205 36 the the DT 63372 3205 37 same same JJ 63372 3205 38 way way NN 63372 3205 39 as as IN 63372 3205 40 one one CD 63372 3205 41 pictures picture VBZ 63372 3205 42 an an DT 63372 3205 43 elastic elastic JJ 63372 3205 44 thread thread NN 63372 3205 45 as as IN 63372 3205 46 controlling control VBG 63372 3205 47 the the DT 63372 3205 48 motion motion NN 63372 3205 49 of of IN 63372 3205 50 a a DT 63372 3205 51 stone stone NN 63372 3205 52 which which WDT 63372 3205 53 swings swing VBZ 63372 3205 54 around around RB 63372 3205 55 at at IN 63372 3205 56 its -PRON- PRP$ 63372 3205 57 end end NN 63372 3205 58 . . . 63372 3206 1 This this DT 63372 3206 2 search search NN 63372 3206 3 has have VBZ 63372 3206 4 been be VBN 63372 3206 5 always always RB 63372 3206 6 without without IN 63372 3206 7 success success NN 63372 3206 8 ; ; : 63372 3206 9 and and CC 63372 3206 10 now now RB 63372 3206 11 Einstein Einstein NNP 63372 3206 12 has have VBZ 63372 3206 13 found find VBN 63372 3206 14 a a DT 63372 3206 15 rather rather RB 63372 3206 16 different different JJ 63372 3206 17 law law NN 63372 3206 18 which which WDT 63372 3206 19 fits fit VBZ 63372 3206 20 the the DT 63372 3206 21 facts fact NNS 63372 3206 22 better well RBR 63372 3206 23 than than IN 63372 3206 24 Newton Newton NNP 63372 3206 25 's 's POS 63372 3206 26 law law NN 63372 3206 27 . . . 63372 3207 1 It -PRON- PRP 63372 3207 2 is be VBZ 63372 3207 3 of of IN 63372 3207 4 such such PDT 63372 3207 5 a a DT 63372 3207 6 type type NN 63372 3207 7 that that WDT 63372 3207 8 it -PRON- PRP 63372 3207 9 does do VBZ 63372 3207 10 not not RB 63372 3207 11 lend lend VB 63372 3207 12 itself -PRON- PRP 63372 3207 13 conveniently conveniently RB 63372 3207 14 to to IN 63372 3207 15 expression expression NN 63372 3207 16 in in IN 63372 3207 17 terms term NNS 63372 3207 18 of of IN 63372 3207 19 force force NN 63372 3207 20 ; ; : 63372 3207 21 the the DT 63372 3207 22 mind mind NN 63372 3207 23 would would MD 63372 3207 24 gain gain VB 63372 3207 25 nothing nothing NN 63372 3207 26 by by IN 63372 3207 27 trying try VBG 63372 3207 28 to to TO 63372 3207 29 picture picture VB 63372 3207 30 such such JJ 63372 3207 31 forces force NNS 63372 3207 32 as as IN 63372 3207 33 are be VBP 63372 3207 34 necessary necessary JJ 63372 3207 35 . . . 63372 3208 1 It -PRON- PRP 63372 3208 2 compensates compensate VBZ 63372 3208 3 for for IN 63372 3208 4 this this DT 63372 3208 5 , , , 63372 3208 6 however however RB 63372 3208 7 , , , 63372 3208 8 in in IN 63372 3208 9 being be VBG 63372 3208 10 capable capable JJ 63372 3208 11 of of IN 63372 3208 12 visualization visualization NN 63372 3208 13 in in IN 63372 3208 14 terms term NNS 63372 3208 15 of of IN 63372 3208 16 what what WP 63372 3208 17 is be VBZ 63372 3208 18 ultimately ultimately RB 63372 3208 19 a a DT 63372 3208 20 much much RB 63372 3208 21 simpler simple JJR 63372 3208 22 concept concept NN 63372 3208 23 . . . 63372 3209 1 In in IN 63372 3209 2 order order NN 63372 3209 3 to to TO 63372 3209 4 appreciate appreciate VB 63372 3209 5 the the DT 63372 3209 6 fundamental fundamental JJ 63372 3209 7 ideas idea NNS 63372 3209 8 involved involve VBN 63372 3209 9 , , , 63372 3209 10 suppose suppose VB 63372 3209 11 for for IN 63372 3209 12 a a DT 63372 3209 13 moment moment NN 63372 3209 14 that that IN 63372 3209 15 gravitation gravitation NN 63372 3209 16 could could MD 63372 3209 17 be be VB 63372 3209 18 annihilated annihilate VBN 63372 3209 19 , , , 63372 3209 20 completely completely RB 63372 3209 21 , , , 63372 3209 22 and and CC 63372 3209 23 suppose suppose VB 63372 3209 24 I -PRON- PRP 63372 3209 25 find find VBP 63372 3209 26 myself -PRON- PRP 63372 3209 27 upon upon IN 63372 3209 28 this this DT 63372 3209 29 earth earth NN 63372 3209 30 in in IN 63372 3209 31 empty empty JJ 63372 3209 32 space space NN 63372 3209 33 . . . 63372 3210 1 You -PRON- PRP 63372 3210 2 shall shall MD 63372 3210 3 be be VB 63372 3210 4 seated seat VBN 63372 3210 5 at at IN 63372 3210 6 some some DT 63372 3210 7 point point NN 63372 3210 8 in in IN 63372 3210 9 space space NN 63372 3210 10 and and CC 63372 3210 11 shall shall MD 63372 3210 12 watch watch VB 63372 3210 13 my -PRON- PRP$ 63372 3210 14 doings doing NNS 63372 3210 15 . . . 63372 3211 1 If if IN 63372 3211 2 I -PRON- PRP 63372 3211 3 am be VBP 63372 3211 4 in in IN 63372 3211 5 the the DT 63372 3211 6 condition condition NN 63372 3211 7 of of IN 63372 3211 8 mind mind NN 63372 3211 9 of of IN 63372 3211 10 the the DT 63372 3211 11 people people NNS 63372 3211 12 of of IN 63372 3211 13 the the DT 63372 3211 14 reign reign NN 63372 3211 15 of of IN 63372 3211 16 King King NNP 63372 3211 17 Henry Henry NNP 63372 3211 18 VIII VIII NNP 63372 3211 19 , , , 63372 3211 20 I -PRON- PRP 63372 3211 21 shall shall MD 63372 3211 22 believe believe VB 63372 3211 23 that that IN 63372 3211 24 the the DT 63372 3211 25 earth earth NN 63372 3211 26 does do VBZ 63372 3211 27 not not RB 63372 3211 28 rotate rotate VB 63372 3211 29 . . . 63372 3212 1 If if IN 63372 3212 2 I -PRON- PRP 63372 3212 3 let let VBD 63372 3212 4 go go VB 63372 3212 5 a a DT 63372 3212 6 stone stone NN 63372 3212 7 , , , 63372 3212 8 there there EX 63372 3212 9 being be VBG 63372 3212 10 no no DT 63372 3212 11 gravity gravity NN 63372 3212 12 , , , 63372 3212 13 I -PRON- PRP 63372 3212 14 shall shall MD 63372 3212 15 find find VB 63372 3212 16 that that IN 63372 3212 17 it -PRON- PRP 63372 3212 18 flies fly VBZ 63372 3212 19 away away RB 63372 3212 20 from from IN 63372 3212 21 me -PRON- PRP 63372 3212 22 with with IN 63372 3212 23 an an DT 63372 3212 24 acceleration acceleration NN 63372 3212 25 . . . 63372 3213 1 You -PRON- PRP 63372 3213 2 will will MD 63372 3213 3 know know VB 63372 3213 4 , , , 63372 3213 5 however however RB 63372 3213 6 , , , 63372 3213 7 that that IN 63372 3213 8 the the DT 63372 3213 9 stone stone NN 63372 3213 10 really really RB 63372 3213 11 moves move VBZ 63372 3213 12 in in IN 63372 3213 13 a a DT 63372 3213 14 straight straight JJ 63372 3213 15 line line NN 63372 3213 16 with with IN 63372 3213 17 constant constant JJ 63372 3213 18 velocity velocity NN 63372 3213 19 , , , 63372 3213 20 and and CC 63372 3213 21 that that IN 63372 3213 22 the the DT 63372 3213 23 apparent apparent JJ 63372 3213 24 acceleration acceleration NN 63372 3213 25 which which WDT 63372 3213 26 I -PRON- PRP 63372 3213 27 perceive perceive VBP 63372 3213 28 is be VBZ 63372 3213 29 due due JJ 63372 3213 30 to to IN 63372 3213 31 the the DT 63372 3213 32 earth earth NN 63372 3213 33 's 's POS 63372 3213 34 rotation rotation NN 63372 3213 35 . . . 63372 3214 1 If if IN 63372 3214 2 I -PRON- PRP 63372 3214 3 have have VBP 63372 3214 4 argued argue VBN 63372 3214 5 that that IN 63372 3214 6 acceleration acceleration NN 63372 3214 7 is be VBZ 63372 3214 8 due due JJ 63372 3214 9 to to IN 63372 3214 10 force force NN 63372 3214 11 , , , 63372 3214 12 I -PRON- PRP 63372 3214 13 shall shall MD 63372 3214 14 say say VB 63372 3214 15 that that IN 63372 3214 16 the the DT 63372 3214 17 earth earth NN 63372 3214 18 repels repel VBZ 63372 3214 19 the the DT 63372 3214 20 stone stone NN 63372 3214 21 , , , 63372 3214 22 and and CC 63372 3214 23 shall shall MD 63372 3214 24 try try VB 63372 3214 25 to to TO 63372 3214 26 find find VB 63372 3214 27 the the DT 63372 3214 28 law law NN 63372 3214 29 governing govern VBG 63372 3214 30 the the DT 63372 3214 31 variation variation NN 63372 3214 32 of of IN 63372 3214 33 this this DT 63372 3214 34 force force NN 63372 3214 35 with with IN 63372 3214 36 distance distance NN 63372 3214 37 . . . 63372 3215 1 I -PRON- PRP 63372 3215 2 may may MD 63372 3215 3 go go VB 63372 3215 4 farther farther RB 63372 3215 5 , , , 63372 3215 6 and and CC 63372 3215 7 try try VB 63372 3215 8 to to TO 63372 3215 9 imagine imagine VB 63372 3215 10 some some DT 63372 3215 11 reason reason NN 63372 3215 12 for for IN 63372 3215 13 the the DT 63372 3215 14 force force NN 63372 3215 15 , , , 63372 3215 16 some some DT 63372 3215 17 pushing push VBG 63372 3215 18 action action NN 63372 3215 19 transmitted transmit VBN 63372 3215 20 from from IN 63372 3215 21 the the DT 63372 3215 22 earth earth NN 63372 3215 23 to to IN 63372 3215 24 the the DT 63372 3215 25 stone stone NN 63372 3215 26 through through IN 63372 3215 27 a a DT 63372 3215 28 surrounding surround VBG 63372 3215 29 medium medium NN 63372 3215 30 ; ; : 63372 3215 31 and and CC 63372 3215 32 , , , 63372 3215 33 you -PRON- PRP 63372 3215 34 will will MD 63372 3215 35 pity pity VB 63372 3215 36 me -PRON- PRP 63372 3215 37 for for IN 63372 3215 38 all all PDT 63372 3215 39 this this DT 63372 3215 40 wasted waste VBN 63372 3215 41 labor labor NN 63372 3215 42 , , , 63372 3215 43 and and CC 63372 3215 44 particularly particularly RB 63372 3215 45 for for IN 63372 3215 46 my -PRON- PRP$ 63372 3215 47 attempt attempt NN 63372 3215 48 to to TO 63372 3215 49 find find VB 63372 3215 50 a a DT 63372 3215 51 mechanism mechanism NN 63372 3215 52 to to TO 63372 3215 53 account account VB 63372 3215 54 for for IN 63372 3215 55 the the DT 63372 3215 56 force force NN 63372 3215 57 , , , 63372 3215 58 since since IN 63372 3215 59 you -PRON- PRP 63372 3215 60 know know VBP 63372 3215 61 that that IN 63372 3215 62 if if IN 63372 3215 63 I -PRON- PRP 63372 3215 64 would would MD 63372 3215 65 only only RB 63372 3215 66 accept accept VB 63372 3215 67 your -PRON- PRP$ 63372 3215 68 measurements measurement NNS 63372 3215 69 all all DT 63372 3215 70 would would MD 63372 3215 71 appear appear VB 63372 3215 72 so so RB 63372 3215 73 simple simple JJ 63372 3215 74 . . . 63372 3216 1 Let let VB 63372 3216 2 us -PRON- PRP 63372 3216 3 probe probe VB 63372 3216 4 this this DT 63372 3216 5 matter matter NN 63372 3216 6 a a DT 63372 3216 7 little little JJ 63372 3216 8 farther far RBR 63372 3216 9 , , , 63372 3216 10 however however RB 63372 3216 11 , , , 63372 3216 12 from from IN 63372 3216 13 the the DT 63372 3216 14 stand stand NN 63372 3216 15 - - HYPH 63372 3216 16 point point NN 63372 3216 17 of of IN 63372 3216 18 myself -PRON- PRP 63372 3216 19 . . . 63372 3217 1 I -PRON- PRP 63372 3217 2 must must MD 63372 3217 3 believe believe VB 63372 3217 4 in in IN 63372 3217 5 the the DT 63372 3217 6 reality reality NN 63372 3217 7 of of IN 63372 3217 8 the the DT 63372 3217 9 force force NN 63372 3217 10 , , , 63372 3217 11 since since IN 63372 3217 12 I -PRON- PRP 63372 3217 13 have have VBP 63372 3217 14 to to TO 63372 3217 15 be be VB 63372 3217 16 tied tie VBN 63372 3217 17 to to IN 63372 3217 18 my -PRON- PRP$ 63372 3217 19 chair chair NN 63372 3217 20 to to TO 63372 3217 21 prevent prevent VB 63372 3217 22 my -PRON- PRP$ 63372 3217 23 departure departure NN 63372 3217 24 from from IN 63372 3217 25 the the DT 63372 3217 26 earth earth NN 63372 3217 27 . . . 63372 3218 1 I -PRON- PRP 63372 3218 2 might may MD 63372 3218 3 wonder wonder VB 63372 3218 4 how how WRB 63372 3218 5 this this DT 63372 3218 6 field field NN 63372 3218 7 of of IN 63372 3218 8 force force NN 63372 3218 9 would would MD 63372 3218 10 affect affect VB 63372 3218 11 the the DT 63372 3218 12 propagation propagation NN 63372 3218 13 of of IN 63372 3218 14 light light JJ 63372 3218 15 , , , 63372 3218 16 chemical chemical NN 63372 3218 17 action action NN 63372 3218 18 and and CC 63372 3218 19 so so RB 63372 3218 20 forth forth RB 63372 3218 21 . . . 63372 3219 1 For for IN 63372 3219 2 , , , 63372 3219 3 even even RB 63372 3219 4 though though IN 63372 3219 5 I -PRON- PRP 63372 3219 6 had have VBD 63372 3219 7 discovered discover VBN 63372 3219 8 that that IN 63372 3219 9 , , , 63372 3219 10 by by IN 63372 3219 11 using use VBG 63372 3219 12 your -PRON- PRP$ 63372 3219 13 measures measure NNS 63372 3219 14 , , , 63372 3219 15 I -PRON- PRP 63372 3219 16 could could MD 63372 3219 17 transform transform VB 63372 3219 18 away away RP 63372 3219 19 the the DT 63372 3219 20 apparent apparent JJ 63372 3219 21 effects effect NNS 63372 3219 22 of of IN 63372 3219 23 my -PRON- PRP$ 63372 3219 24 field field NN 63372 3219 25 of of IN 63372 3219 26 force force NN 63372 3219 27 as as RB 63372 3219 28 far far RB 63372 3219 29 as as IN 63372 3219 30 concerned concerned JJ 63372 3219 31 its -PRON- PRP$ 63372 3219 32 power power NN 63372 3219 33 to to TO 63372 3219 34 hurl hurl VB 63372 3219 35 stones stone NNS 63372 3219 36 about about IN 63372 3219 37 , , , 63372 3219 38 I -PRON- PRP 63372 3219 39 could could MD 63372 3219 40 still still RB 63372 3219 41 regard regard VB 63372 3219 42 this this DT 63372 3219 43 as as IN 63372 3219 44 a a DT 63372 3219 45 mathematical mathematical JJ 63372 3219 46 accident accident NN 63372 3219 47 , , , 63372 3219 48 and and CC 63372 3219 49 believe believe VBP 63372 3219 50 that that IN 63372 3219 51 the the DT 63372 3219 52 force force NN 63372 3219 53 was be VBD 63372 3219 54 really really RB 63372 3219 55 there there RB 63372 3219 56 . . . 63372 3220 1 Although although IN 63372 3220 2 I -PRON- PRP 63372 3220 3 might may MD 63372 3220 4 suspect suspect VB 63372 3220 5 that that IN 63372 3220 6 the the DT 63372 3220 7 same same JJ 63372 3220 8 transformation transformation NN 63372 3220 9 of of IN 63372 3220 10 view view NN 63372 3220 11 - - HYPH 63372 3220 12 point point NN 63372 3220 13 that that WDT 63372 3220 14 would would MD 63372 3220 15 annul annul VB 63372 3220 16 the the DT 63372 3220 17 field field NN 63372 3220 18 's 's POS 63372 3220 19 effect effect NN 63372 3220 20 as as IN 63372 3220 21 regards regard VBZ 63372 3220 22 the the DT 63372 3220 23 stones stone NNS 63372 3220 24 would would MD 63372 3220 25 also also RB 63372 3220 26 annul annul VB 63372 3220 27 its -PRON- PRP$ 63372 3220 28 effect effect NN 63372 3220 29 as as IN 63372 3220 30 regards regard VBZ 63372 3220 31 light light NN 63372 3220 32 , , , 63372 3220 33 etc etc FW 63372 3220 34 . . FW 63372 3220 35 , , , 63372 3220 36 I -PRON- PRP 63372 3220 37 should should MD 63372 3220 38 not not RB 63372 3220 39 be be VB 63372 3220 40 sure sure JJ 63372 3220 41 of of IN 63372 3220 42 this this DT 63372 3220 43 , , , 63372 3220 44 as as IN 63372 3220 45 you -PRON- PRP 63372 3220 46 would would MD 63372 3220 47 be be VB 63372 3220 48 ; ; : 63372 3220 49 and and CC 63372 3220 50 my -PRON- PRP$ 63372 3220 51 conscience conscience NN 63372 3220 52 would would MD 63372 3220 53 hardly hardly RB 63372 3220 54 allow allow VB 63372 3220 55 me -PRON- PRP 63372 3220 56 to to TO 63372 3220 57 do do VB 63372 3220 58 more more JJR 63372 3220 59 than than IN 63372 3220 60 look look VB 63372 3220 61 upon upon IN 63372 3220 62 the the DT 63372 3220 63 assumption assumption NN 63372 3220 64 of of IN 63372 3220 65 complete complete JJ 63372 3220 66 equivalence equivalence NN 63372 3220 67 between between IN 63372 3220 68 the the DT 63372 3220 69 apparent apparent JJ 63372 3220 70 field field NN 63372 3220 71 and and CC 63372 3220 72 a a DT 63372 3220 73 change change NN 63372 3220 74 in in IN 63372 3220 75 the the DT 63372 3220 76 system system NN 63372 3220 77 of of IN 63372 3220 78 measurement measurement NN 63372 3220 79 as as IN 63372 3220 80 a a DT 63372 3220 81 hypothesis hypothesis NN 63372 3220 82 . . . 63372 3221 1 I -PRON- PRP 63372 3221 2 should should MD 63372 3221 3 be be VB 63372 3221 4 strongly strongly RB 63372 3221 5 tempted tempt VBN 63372 3221 6 to to TO 63372 3221 7 make make VB 63372 3221 8 the the DT 63372 3221 9 hypothesis hypothesis NN 63372 3221 10 , , , 63372 3221 11 however however RB 63372 3221 12 . . . 63372 3222 1 Now now RB 63372 3222 2 the the DT 63372 3222 3 question question NN 63372 3222 4 raised raise VBN 63372 3222 5 by by IN 63372 3222 6 Einstein Einstein NNP 63372 3222 7 is be VBZ 63372 3222 8 whether whether IN 63372 3222 9 the the DT 63372 3222 10 force force NN 63372 3222 11 of of IN 63372 3222 12 gravity gravity NN 63372 3222 13 , , , 63372 3222 14 which which WDT 63372 3222 15 we -PRON- PRP 63372 3222 16 experience experience VBP 63372 3222 17 as as IN 63372 3222 18 a a DT 63372 3222 19 very very RB 63372 3222 20 real real JJ 63372 3222 21 thing thing NN 63372 3222 22 , , , 63372 3222 23 may may MD 63372 3222 24 be be VB 63372 3222 25 put put VBN 63372 3222 26 upon upon IN 63372 3222 27 a a DT 63372 3222 28 footing footing NN 63372 3222 29 which which WDT 63372 3222 30 is be VBZ 63372 3222 31 in in IN 63372 3222 32 some some DT 63372 3222 33 way way NN 63372 3222 34 analogous analogous JJ 63372 3222 35 to to IN 63372 3222 36 that that DT 63372 3222 37 of of IN 63372 3222 38 the the DT 63372 3222 39 obviously obviously RB 63372 3222 40 fictitious fictitious JJ 63372 3222 41 centrifugal centrifugal JJ 63372 3222 42 force force NN 63372 3222 43 cited cite VBD 63372 3222 44 above above RB 63372 3222 45 : : : 63372 3222 46 whether whether IN 63372 3222 47 gravitation gravitation NN 63372 3222 48 may may MD 63372 3222 49 be be VB 63372 3222 50 regarded regard VBN 63372 3222 51 as as IN 63372 3222 52 a a DT 63372 3222 53 figment figment NN 63372 3222 54 of of IN 63372 3222 55 our -PRON- PRP$ 63372 3222 56 imagination imagination NN 63372 3222 57 engendered engender VBN 63372 3222 58 by by IN 63372 3222 59 the the DT 63372 3222 60 way way NN 63372 3222 61 in in IN 63372 3222 62 which which WDT 63372 3222 63 we -PRON- PRP 63372 3222 64 measure measure VBP 63372 3222 65 things thing NNS 63372 3222 66 . . . 63372 3223 1 He -PRON- PRP 63372 3223 2 found find VBD 63372 3223 3 that that IN 63372 3223 4 it -PRON- PRP 63372 3223 5 could could MD 63372 3223 6 be be VB 63372 3223 7 so so RB 63372 3223 8 regarded regarded JJ 63372 3223 9 . . . 63372 3224 1 He -PRON- PRP 63372 3224 2 went go VBD 63372 3224 3 still still RB 63372 3224 4 farther farther RB 63372 3224 5 , , , 63372 3224 6 and and CC 63372 3224 7 in in IN 63372 3224 8 his -PRON- PRP$ 63372 3224 9 Principle Principle NNP 63372 3224 10 of of IN 63372 3224 11 Equivalence Equivalence NNP 63372 3224 12 , , , 63372 3224 13 he -PRON- PRP 63372 3224 14 postulated postulate VBD 63372 3224 15 that that IN 63372 3224 16 the the DT 63372 3224 17 apparent apparent JJ 63372 3224 18 effects effect NNS 63372 3224 19 of of IN 63372 3224 20 gravitation gravitation NN 63372 3224 21 in in IN 63372 3224 22 all all DT 63372 3224 23 phenomena phenomenon NNS 63372 3224 24 could could MD 63372 3224 25 be be VB 63372 3224 26 attributed attribute VBN 63372 3224 27 to to IN 63372 3224 28 the the DT 63372 3224 29 same same JJ 63372 3224 30 change change NN 63372 3224 31 in in IN 63372 3224 32 the the DT 63372 3224 33 system system NN 63372 3224 34 of of IN 63372 3224 35 our -PRON- PRP$ 63372 3224 36 measurements measurement NNS 63372 3224 37 that that WDT 63372 3224 38 would would MD 63372 3224 39 account account VB 63372 3224 40 for for IN 63372 3224 41 the the DT 63372 3224 42 ordinary ordinary JJ 63372 3224 43 phenomena phenomenon NNS 63372 3224 44 of of IN 63372 3224 45 gravitation gravitation NN 63372 3224 46 . . . 63372 3225 1 On on IN 63372 3225 2 the the DT 63372 3225 3 basis basis NN 63372 3225 4 of of IN 63372 3225 5 this this DT 63372 3225 6 hypothesis hypothesis NN 63372 3225 7 he -PRON- PRP 63372 3225 8 was be VBD 63372 3225 9 able able JJ 63372 3225 10 to to TO 63372 3225 11 deduce deduce VB 63372 3225 12 for for IN 63372 3225 13 subsequent subsequent JJ 63372 3225 14 experimental experimental JJ 63372 3225 15 verification verification NN 63372 3225 16 , , , 63372 3225 17 the the DT 63372 3225 18 effects effect NNS 63372 3225 19 of of IN 63372 3225 20 gravitation gravitation NN 63372 3225 21 on on IN 63372 3225 22 light light NN 63372 3225 23 . . . 63372 3226 1 He -PRON- PRP 63372 3226 2 did do VBD 63372 3226 3 not not RB 63372 3226 4 limit limit VB 63372 3226 5 himself -PRON- PRP 63372 3226 6 to to IN 63372 3226 7 such such JJ 63372 3226 8 simple simple JJ 63372 3226 9 changes change NNS 63372 3226 10 in in IN 63372 3226 11 our -PRON- PRP$ 63372 3226 12 measurements measurement NNS 63372 3226 13 as as IN 63372 3226 14 were be VBD 63372 3226 15 sufficient sufficient JJ 63372 3226 16 to to TO 63372 3226 17 serve serve VB 63372 3226 18 the the DT 63372 3226 19 purpose purpose NN 63372 3226 20 of of IN 63372 3226 21 the the DT 63372 3226 22 problem problem NN 63372 3226 23 of of IN 63372 3226 24 centrifugal centrifugal JJ 63372 3226 25 force force NN 63372 3226 26 cited cite VBD 63372 3226 27 above above RB 63372 3226 28 ; ; : 63372 3226 29 but but CC 63372 3226 30 , , , 63372 3226 31 emboldened embolden VBN 63372 3226 32 by by IN 63372 3226 33 the the DT 63372 3226 34 assumptions assumption NNS 63372 3226 35 , , , 63372 3226 36 in in IN 63372 3226 37 the the DT 63372 3226 38 older old JJR 63372 3226 39 theory theory NN 63372 3226 40 of of IN 63372 3226 41 relativity relativity NN 63372 3226 42 , , , 63372 3226 43 of of IN 63372 3226 44 change change NN 63372 3226 45 in in IN 63372 3226 46 standards standard NNS 63372 3226 47 of of IN 63372 3226 48 length length NN 63372 3226 49 and and CC 63372 3226 50 time time NN 63372 3226 51 on on IN 63372 3226 52 account account NN 63372 3226 53 of of IN 63372 3226 54 motion motion NN 63372 3226 55 , , , 63372 3226 56 he -PRON- PRP 63372 3226 57 went go VBD 63372 3226 58 even even RB 63372 3226 59 farther far RBR 63372 3226 60 than than IN 63372 3226 61 this this DT 63372 3226 62 , , , 63372 3226 63 and and CC 63372 3226 64 considered consider VBD 63372 3226 65 the the DT 63372 3226 66 possibility possibility NN 63372 3226 67 of of IN 63372 3226 68 change change NN 63372 3226 69 of of IN 63372 3226 70 our -PRON- PRP$ 63372 3226 71 measures measure NNS 63372 3226 72 due due IN 63372 3226 73 to to IN 63372 3226 74 mere mere JJ 63372 3226 75 proximity proximity NN 63372 3226 76 to to TO 63372 3226 77 matter matter VB 63372 3226 78 . . . 63372 3227 1 His -PRON- PRP$ 63372 3227 2 problem problem NN 63372 3227 3 amounted amount VBD 63372 3227 4 to to IN 63372 3227 5 an an DT 63372 3227 6 attempt attempt NN 63372 3227 7 to to TO 63372 3227 8 find find VB 63372 3227 9 some some DT 63372 3227 10 way way NN 63372 3227 11 in in IN 63372 3227 12 which which WDT 63372 3227 13 it -PRON- PRP 63372 3227 14 was be VBD 63372 3227 15 possible possible JJ 63372 3227 16 to to TO 63372 3227 17 conceive conceive VB 63372 3227 18 our -PRON- PRP$ 63372 3227 19 scales scale NNS 63372 3227 20 and and CC 63372 3227 21 clocks clock NNS 63372 3227 22 as as IN 63372 3227 23 altered alter VBN 63372 3227 24 , , , 63372 3227 25 relatively relatively RB 63372 3227 26 to to IN 63372 3227 27 some some DT 63372 3227 28 more more RBR 63372 3227 29 fundamental fundamental JJ 63372 3227 30 set set NN 63372 3227 31 , , , 63372 3227 32 so so IN 63372 3227 33 as as IN 63372 3227 34 to to TO 63372 3227 35 allow allow VB 63372 3227 36 of of IN 63372 3227 37 the the DT 63372 3227 38 planetary planetary NN 63372 3227 39 motions motion NNS 63372 3227 40 being be VBG 63372 3227 41 uniform uniform JJ 63372 3227 42 and and CC 63372 3227 43 rectilinear rectilinear JJ 63372 3227 44 with with IN 63372 3227 45 respect respect NN 63372 3227 46 to to IN 63372 3227 47 these these DT 63372 3227 48 fundamental fundamental JJ 63372 3227 49 measures measure NNS 63372 3227 50 , , , 63372 3227 51 although although IN 63372 3227 52 they -PRON- PRP 63372 3227 53 appear appear VBP 63372 3227 54 as as IN 63372 3227 55 they -PRON- PRP 63372 3227 56 do do VBP 63372 3227 57 to to IN 63372 3227 58 us -PRON- PRP 63372 3227 59 . . . 63372 3228 1 If if IN 63372 3228 2 we -PRON- PRP 63372 3228 3 allow allow VBP 63372 3228 4 our -PRON- PRP$ 63372 3228 5 imaginations imagination NNS 63372 3228 6 perfect perfect JJ 63372 3228 7 freedom freedom NN 63372 3228 8 as as IN 63372 3228 9 to to IN 63372 3228 10 how how WRB 63372 3228 11 the the DT 63372 3228 12 scales scale NNS 63372 3228 13 may may MD 63372 3228 14 be be VB 63372 3228 15 altered alter VBN 63372 3228 16 , , , 63372 3228 17 we -PRON- PRP 63372 3228 18 shall shall MD 63372 3228 19 not not RB 63372 3228 20 balk balk VB 63372 3228 21 at at IN 63372 3228 22 assuming assume VBG 63372 3228 23 alterations alteration NNS 63372 3228 24 varying vary VBG 63372 3228 25 in in IN 63372 3228 26 any any DT 63372 3228 27 way way NN 63372 3228 28 we -PRON- PRP 63372 3228 29 please please VBP 63372 3228 30 , , , 63372 3228 31 Einstein Einstein NNP 63372 3228 32 does do VBZ 63372 3228 33 , , , 63372 3228 34 however however RB 63372 3228 35 , , , 63372 3228 36 introduce introduce VBP 63372 3228 37 restrictions restriction NNS 63372 3228 38 for for IN 63372 3228 39 reasons reason NNS 63372 3228 40 which which WDT 63372 3228 41 we -PRON- PRP 63372 3228 42 will will MD 63372 3228 43 now now RB 63372 3228 44 discern discern VB 63372 3228 45 . . . 63372 3229 1 If if IN 63372 3229 2 we -PRON- PRP 63372 3229 3 imagine imagine VBP 63372 3229 4 our -PRON- PRP$ 63372 3229 5 whole whole JJ 63372 3229 6 universe universe NN 63372 3229 7 , , , 63372 3229 8 with with IN 63372 3229 9 its -PRON- PRP$ 63372 3229 10 observers observer NNS 63372 3229 11 , , , 63372 3229 12 planetary planetary NN 63372 3229 13 orbits orbit NNS 63372 3229 14 , , , 63372 3229 15 instruments instrument NNS 63372 3229 16 , , , 63372 3229 17 and and CC 63372 3229 18 everything everything NN 63372 3229 19 else else RB 63372 3229 20 , , , 63372 3229 21 embedded embed VBN 63372 3229 22 in in IN 63372 3229 23 a a DT 63372 3229 24 jelly jelly NN 63372 3229 25 , , , 63372 3229 26 and and CC 63372 3229 27 then then RB 63372 3229 28 distort distort VB 63372 3229 29 the the DT 63372 3229 30 jelly jelly NN 63372 3229 31 and and CC 63372 3229 32 contents content NNS 63372 3229 33 in in IN 63372 3229 34 any any DT 63372 3229 35 way way NN 63372 3229 36 , , , 63372 3229 37 the the DT 63372 3229 38 numbers number NNS 63372 3229 39 at at IN 63372 3229 40 which which WDT 63372 3229 41 our -PRON- PRP$ 63372 3229 42 planetary planetary JJ 63372 3229 43 orbits orbit NNS 63372 3229 44 ( ( -LRB- 63372 3229 45 or or CC 63372 3229 46 rather rather RB 63372 3229 47 their -PRON- PRP$ 63372 3229 48 telescopic telescopic JJ 63372 3229 49 images image NNS 63372 3229 50 ) ) -RRB- 63372 3229 51 intersect intersect VBP 63372 3229 52 our -PRON- PRP$ 63372 3229 53 scales scale NNS 63372 3229 54 will will MD 63372 3229 55 be be VB 63372 3229 56 unaltered unaltered JJ 63372 3229 57 . . . 63372 3230 1 Moreover moreover RB 63372 3230 2 , , , 63372 3230 3 we -PRON- PRP 63372 3230 4 could could MD 63372 3230 5 vary vary VB 63372 3230 6 , , , 63372 3230 7 in in IN 63372 3230 8 any any DT 63372 3230 9 manner manner NN 63372 3230 10 , , , 63372 3230 11 the the DT 63372 3230 12 times time NNS 63372 3230 13 at at IN 63372 3230 14 which which WDT 63372 3230 15 all all DT 63372 3230 16 objects object NNS 63372 3230 17 ( ( -LRB- 63372 3230 18 including include VBG 63372 3230 19 the the DT 63372 3230 20 clock clock NN 63372 3230 21 hands hand NNS 63372 3230 22 ) ) -RRB- 63372 3230 23 occupied occupy VBD 63372 3230 24 their -PRON- PRP$ 63372 3230 25 distorted distort VBN 63372 3230 26 positions position NNS 63372 3230 27 , , , 63372 3230 28 and and CC 63372 3230 29 the the DT 63372 3230 30 hand hand NN 63372 3230 31 of of IN 63372 3230 32 some some DT 63372 3230 33 clock clock NN 63372 3230 34 near near IN 63372 3230 35 the the DT 63372 3230 36 point point NN 63372 3230 37 where where WRB 63372 3230 38 the the DT 63372 3230 39 planetary planetary NN 63372 3230 40 image image NN 63372 3230 41 crossed cross VBD 63372 3230 42 the the DT 63372 3230 43 scale scale NN 63372 3230 44 would would MD 63372 3230 45 record record VB 63372 3230 46 for for IN 63372 3230 47 this this DT 63372 3230 48 occurrence occurrence NN 63372 3230 49 the the DT 63372 3230 50 same same JJ 63372 3230 51 dial dial NN 63372 3230 52 reading read VBG 63372 3230 53 as as IN 63372 3230 54 before before RB 63372 3230 55 . . . 63372 3231 1 An an DT 63372 3231 2 inhabitant inhabitant NN 63372 3231 3 of of IN 63372 3231 4 this this DT 63372 3231 5 distorted distorted JJ 63372 3231 6 universe universe NN 63372 3231 7 would would MD 63372 3231 8 be be VB 63372 3231 9 absolutely absolutely RB 63372 3231 10 unconscious unconscious JJ 63372 3231 11 of of IN 63372 3231 12 the the DT 63372 3231 13 change change NN 63372 3231 14 . . . 63372 3232 1 Now now RB 63372 3232 2 the the DT 63372 3232 3 General General NNP 63372 3232 4 Theory Theory NNP 63372 3232 5 of of IN 63372 3232 6 Relativity Relativity NNP 63372 3232 7 which which WDT 63372 3232 8 expresses express VBZ 63372 3232 9 itself -PRON- PRP 63372 3232 10 in in IN 63372 3232 11 slightly slightly RB 63372 3232 12 varied varied JJ 63372 3232 13 forms form NNS 63372 3232 14 , , , 63372 3232 15 amounts amount VBZ 63372 3232 16 to to IN 63372 3232 17 satisfying satisfy VBG 63372 3232 18 a a DT 63372 3232 19 certain certain JJ 63372 3232 20 philosophical philosophical JJ 63372 3232 21 craving craving NN 63372 3232 22 of of IN 63372 3232 23 the the DT 63372 3232 24 mind mind NN 63372 3232 25 , , , 63372 3232 26 by by IN 63372 3232 27 asserting assert VBG 63372 3232 28 that that IN 63372 3232 29 the the DT 63372 3232 30 laws law NNS 63372 3232 31 of of IN 63372 3232 32 nature nature NN 63372 3232 33 which which WDT 63372 3232 34 control control VBP 63372 3232 35 our -PRON- PRP$ 63372 3232 36 universe universe NN 63372 3232 37 ought ought MD 63372 3232 38 to to TO 63372 3232 39 be be VB 63372 3232 40 such such JJ 63372 3232 41 that that IN 63372 3232 42 another another DT 63372 3232 43 universe universe NN 63372 3232 44 like like IN 63372 3232 45 the the DT 63372 3232 46 above above JJ 63372 3232 47 , , , 63372 3232 48 whose whose WP$ 63372 3232 49 inhabitants inhabitant NNS 63372 3232 50 would would MD 63372 3232 51 be be VB 63372 3232 52 unconscious unconscious JJ 63372 3232 53 of of IN 63372 3232 54 their -PRON- PRP$ 63372 3232 55 change change NN 63372 3232 56 , , , 63372 3232 57 would would MD 63372 3232 58 also also RB 63372 3232 59 satisfy satisfy VB 63372 3232 60 these these DT 63372 3232 61 laws law NNS 63372 3232 62 , , , 63372 3232 63 not not RB 63372 3232 64 merely merely RB 63372 3232 65 from from IN 63372 3232 66 the the DT 63372 3232 67 standpoint standpoint NN 63372 3232 68 of of IN 63372 3232 69 its -PRON- PRP$ 63372 3232 70 own own JJ 63372 3232 71 inhabitants inhabitant NNS 63372 3232 72 , , , 63372 3232 73 but but CC 63372 3232 74 also also RB 63372 3232 75 from from IN 63372 3232 76 the the DT 63372 3232 77 standpoint standpoint NN 63372 3232 78 of of IN 63372 3232 79 our -PRON- PRP$ 63372 3232 80 measurements measurement NNS 63372 3232 81 . . . 63372 3233 1 In in IN 63372 3233 2 other other JJ 63372 3233 3 words word NNS 63372 3233 4 , , , 63372 3233 5 this this DT 63372 3233 6 second second JJ 63372 3233 7 universe universe NN 63372 3233 8 ought ought MD 63372 3233 9 to to TO 63372 3233 10 appear appear VB 63372 3233 11 possible possible JJ 63372 3233 12 to to IN 63372 3233 13 us -PRON- PRP 63372 3233 14 as as RB 63372 3233 15 well well RB 63372 3233 16 as as IN 63372 3233 17 to to IN 63372 3233 18 its -PRON- PRP$ 63372 3233 19 inhabitants inhabitant NNS 63372 3233 20 . . . 63372 3234 1 Einstein Einstein NNP 63372 3234 2 decides decide VBZ 63372 3234 3 to to TO 63372 3234 4 make make VB 63372 3234 5 his -PRON- PRP$ 63372 3234 6 theory theory NN 63372 3234 7 conform conform VB 63372 3234 8 to to IN 63372 3234 9 this this DT 63372 3234 10 philosophical philosophical JJ 63372 3234 11 desire desire NN 63372 3234 12 , , , 63372 3234 13 and and CC 63372 3234 14 this this DT 63372 3234 15 greatly greatly RB 63372 3234 16 limits limit VBZ 63372 3234 17 the the DT 63372 3234 18 modifications modification NNS 63372 3234 19 of of IN 63372 3234 20 clocks clock NNS 63372 3234 21 and and CC 63372 3234 22 scales scale NNS 63372 3234 23 which which WDT 63372 3234 24 he -PRON- PRP 63372 3234 25 permits permit VBZ 63372 3234 26 himself -PRON- PRP 63372 3234 27 for for IN 63372 3234 28 the the DT 63372 3234 29 purpose purpose NN 63372 3234 30 of of IN 63372 3234 31 representing represent VBG 63372 3234 32 gravitation gravitation NN 63372 3234 33 . . . 63372 3235 1 Further further RB 63372 3235 2 , , , 63372 3235 3 if if IN 63372 3235 4 we -PRON- PRP 63372 3235 5 express express VBP 63372 3235 6 the the DT 63372 3235 7 alterations alteration NNS 63372 3235 8 of of IN 63372 3235 9 the the DT 63372 3235 10 measures measure NNS 63372 3235 11 as as IN 63372 3235 12 functions function NNS 63372 3235 13 of of IN 63372 3235 14 proximity proximity NN 63372 3235 15 to to TO 63372 3235 16 matter matter NN 63372 3235 17 , , , 63372 3235 18 velocity velocity NN 63372 3235 19 and and CC 63372 3235 20 so so RB 63372 3235 21 forth forth RB 63372 3235 22 , , , 63372 3235 23 our -PRON- PRP$ 63372 3235 24 expressions expression NNS 63372 3235 25 for for IN 63372 3235 26 these these DT 63372 3235 27 alterations alteration NNS 63372 3235 28 will will MD 63372 3235 29 include include VB 63372 3235 30 , , , 63372 3235 31 as as IN 63372 3235 32 a a DT 63372 3235 33 particular particular JJ 63372 3235 34 case case NN 63372 3235 35 , , , 63372 3235 36 that that IN 63372 3235 37 where where WRB 63372 3235 38 matter matter NN 63372 3235 39 is be VBZ 63372 3235 40 absent absent JJ 63372 3235 41 , , , 63372 3235 42 although although IN 63372 3235 43 the the DT 63372 3235 44 scales scale NNS 63372 3235 45 and and CC 63372 3235 46 observer observer NN 63372 3235 47 may may MD 63372 3235 48 still still RB 63372 3235 49 remain remain VB 63372 3235 50 . . . 63372 3236 1 Our -PRON- PRP$ 63372 3236 2 alteration alteration NN 63372 3236 3 of of IN 63372 3236 4 the the DT 63372 3236 5 scales scale NNS 63372 3236 6 and and CC 63372 3236 7 clocks clock NNS 63372 3236 8 with with IN 63372 3236 9 velocity velocity NN 63372 3236 10 must must MD 63372 3236 11 thus thus RB 63372 3236 12 revert revert VB 63372 3236 13 , , , 63372 3236 14 for for IN 63372 3236 15 this this DT 63372 3236 16 case case NN 63372 3236 17 , , , 63372 3236 18 to to IN 63372 3236 19 that that DT 63372 3236 20 corresponding correspond VBG 63372 3236 21 to to IN 63372 3236 22 the the DT 63372 3236 23 older old JJR 63372 3236 24 theory theory NN 63372 3236 25 of of IN 63372 3236 26 relativity relativity NN 63372 3236 27 , , , 63372 3236 28 in in IN 63372 3236 29 order order NN 63372 3236 30 to to TO 63372 3236 31 avoid avoid VB 63372 3236 32 predicting predict VBG 63372 3236 33 that that IN 63372 3236 34 two two CD 63372 3236 35 observers observer NNS 63372 3236 36 , , , 63372 3236 37 in in IN 63372 3236 38 uniform uniform JJ 63372 3236 39 motion motion NN 63372 3236 40 relative relative JJ 63372 3236 41 to to IN 63372 3236 42 each each DT 63372 3236 43 other other JJ 63372 3236 44 in in IN 63372 3236 45 empty empty JJ 63372 3236 46 space space NN 63372 3236 47 , , , 63372 3236 48 will will MD 63372 3236 49 measure measure VB 63372 3236 50 different different JJ 63372 3236 51 values value NNS 63372 3236 52 for for IN 63372 3236 53 the the DT 63372 3236 54 velocity velocity NN 63372 3236 55 of of IN 63372 3236 56 light light NN 63372 3236 57 . . . 63372 3237 1 In in IN 63372 3237 2 this this DT 63372 3237 3 way way NN 63372 3237 4 , , , 63372 3237 5 the the DT 63372 3237 6 velocity velocity NN 63372 3237 7 of of IN 63372 3237 8 light light NN 63372 3237 9 comes come VBZ 63372 3237 10 to to TO 63372 3237 11 play play VB 63372 3237 12 a a DT 63372 3237 13 part part NN 63372 3237 14 in in IN 63372 3237 15 expressing express VBG 63372 3237 16 the the DT 63372 3237 17 alterations alteration NNS 63372 3237 18 of of IN 63372 3237 19 the the DT 63372 3237 20 measures measure NNS 63372 3237 21 . . . 63372 3238 1 Even even RB 63372 3238 2 with with IN 63372 3238 3 these these DT 63372 3238 4 restrictions restriction NNS 63372 3238 5 , , , 63372 3238 6 Einstein Einstein NNP 63372 3238 7 was be VBD 63372 3238 8 able able JJ 63372 3238 9 to to TO 63372 3238 10 do do VB 63372 3238 11 the the DT 63372 3238 12 equivalent equivalent NN 63372 3238 13 of of IN 63372 3238 14 finding find VBG 63372 3238 15 an an DT 63372 3238 16 alteration alteration NN 63372 3238 17 of of IN 63372 3238 18 scales scale NNS 63372 3238 19 and and CC 63372 3238 20 clocks clock NNS 63372 3238 21 in in IN 63372 3238 22 the the DT 63372 3238 23 presence presence NN 63372 3238 24 of of IN 63372 3238 25 matter matter NN 63372 3238 26 which which WDT 63372 3238 27 would would MD 63372 3238 28 account account VB 63372 3238 29 for for IN 63372 3238 30 our -PRON- PRP$ 63372 3238 31 finding finding NN 63372 3238 32 that that IN 63372 3238 33 the the DT 63372 3238 34 planetary planetary NN 63372 3238 35 motions motion NNS 63372 3238 36 take take VBP 63372 3238 37 place place NN 63372 3238 38 very very RB 63372 3238 39 nearly nearly RB 63372 3238 40 in in IN 63372 3238 41 accordance accordance NN 63372 3238 42 with with IN 63372 3238 43 Newton Newton NNP 63372 3238 44 's 's POS 63372 3238 45 law law NN 63372 3238 46 . . . 63372 3239 1 The the DT 63372 3239 2 new new JJ 63372 3239 3 law law NN 63372 3239 4 has have VBZ 63372 3239 5 accounted account VBN 63372 3239 6 with with IN 63372 3239 7 surprising surprising JJ 63372 3239 8 accuracy accuracy NN 63372 3239 9 for for IN 63372 3239 10 certain certain JJ 63372 3239 11 astronomical astronomical JJ 63372 3239 12 irregularities irregularity NNS 63372 3239 13 for for IN 63372 3239 14 which which WDT 63372 3239 15 Newton Newton NNP 63372 3239 16 's 's POS 63372 3239 17 law law NN 63372 3239 18 failed fail VBD 63372 3239 19 to to TO 63372 3239 20 account account VB 63372 3239 21 , , , 63372 3239 22 and and CC 63372 3239 23 has have VBZ 63372 3239 24 predicted predict VBN 63372 3239 25 at at IN 63372 3239 26 least least RBS 63372 3239 27 one one CD 63372 3239 28 previously previously RB 63372 3239 29 unknown unknown JJ 63372 3239 30 phenomenon phenomenon NN 63372 3239 31 which which WDT 63372 3239 32 was be VBD 63372 3239 33 immediately immediately RB 63372 3239 34 verified verify VBN 63372 3239 35 . . . 63372 3240 1 In in IN 63372 3240 2 conclusion conclusion NN 63372 3240 3 , , , 63372 3240 4 it -PRON- PRP 63372 3240 5 may may MD 63372 3240 6 be be VB 63372 3240 7 of of IN 63372 3240 8 interest interest NN 63372 3240 9 to to TO 63372 3240 10 state state VB 63372 3240 11 how how WRB 63372 3240 12 the the DT 63372 3240 13 new new JJ 63372 3240 14 law law NN 63372 3240 15 describes describe VBZ 63372 3240 16 the the DT 63372 3240 17 motion motion NN 63372 3240 18 of of IN 63372 3240 19 a a DT 63372 3240 20 particle particle NN 63372 3240 21 in in IN 63372 3240 22 the the DT 63372 3240 23 vicinity vicinity NN 63372 3240 24 of of IN 63372 3240 25 a a DT 63372 3240 26 body body NN 63372 3240 27 like like IN 63372 3240 28 the the DT 63372 3240 29 earth earth NN 63372 3240 30 . . . 63372 3241 1 The the DT 63372 3241 2 law law NN 63372 3241 3 amounts amount VBZ 63372 3241 4 to to IN 63372 3241 5 stating state VBG 63372 3241 6 that that IN 63372 3241 7 , , , 63372 3241 8 if if IN 63372 3241 9 we -PRON- PRP 63372 3241 10 measure measure VBP 63372 3241 11 a a DT 63372 3241 12 short short JJ 63372 3241 13 distance distance NN 63372 3241 14 , , , 63372 3241 15 radially radially NNP 63372 3241 16 as as IN 63372 3241 17 regards regard VBZ 63372 3241 18 the the DT 63372 3241 19 earth earth NN 63372 3241 20 's 's POS 63372 3241 21 center center NN 63372 3241 22 , , , 63372 3241 23 we -PRON- PRP 63372 3241 24 must must MD 63372 3241 25 allow allow VB 63372 3241 26 for for IN 63372 3241 27 the the DT 63372 3241 28 peculiarity peculiarity NN 63372 3241 29 of of IN 63372 3241 30 our -PRON- PRP$ 63372 3241 31 units unit NNS 63372 3241 32 by by IN 63372 3241 33 dividing divide VBG 63372 3241 34 by by IN 63372 3241 35 $ $ $ 63372 3241 36 $ $ $ 63372 3241 37 \sqrt{1-\frac{2mG}{c^2r}}$$ \sqrt{1-\frac{2mg}{c^2r}}$$ CD 63372 3241 38 where where WRB 63372 3241 39 $ $ $ 63372 3241 40 r$ r$ NNP 63372 3241 41 is be VBZ 63372 3241 42 the the DT 63372 3241 43 distance distance NN 63372 3241 44 from from IN 63372 3241 45 the the DT 63372 3241 46 earth earth NN 63372 3241 47 's 's POS 63372 3241 48 center center NN 63372 3241 49 , , , 63372 3241 50 $ $ $ 63372 3241 51 m$ m$ NNP 63372 3241 52 the the DT 63372 3241 53 mass mass NN 63372 3241 54 of of IN 63372 3241 55 the the DT 63372 3241 56 earth earth NN 63372 3241 57 , , , 63372 3241 58 $ $ $ 63372 3241 59 c$ c$ IN 63372 3241 60 the the DT 63372 3241 61 velocity velocity NN 63372 3241 62 of of IN 63372 3241 63 light light NN 63372 3241 64 , , , 63372 3241 65 and and CC 63372 3241 66 $ $ $ 63372 3241 67 G$ g$ CD 63372 3241 68 the the DT 63372 3241 69 Newtonian newtonian JJ 63372 3241 70 gravitational gravitational JJ 63372 3241 71 constant constant NN 63372 3241 72 . . . 63372 3242 1 Tangential tangential JJ 63372 3242 2 measurements measurement NNS 63372 3242 3 require require VBP 63372 3242 4 no no DT 63372 3242 5 correction correction NN 63372 3242 6 , , , 63372 3242 7 but but CC 63372 3242 8 intervals interval NNS 63372 3242 9 of of IN 63372 3242 10 time time NN 63372 3242 11 as as IN 63372 3242 12 measured measure VBN 63372 3242 13 by by IN 63372 3242 14 our -PRON- PRP$ 63372 3242 15 clocks clock NNS 63372 3242 16 must must MD 63372 3242 17 be be VB 63372 3242 18 multiplied multiply VBN 63372 3242 19 , , , 63372 3242 20 for for IN 63372 3242 21 each each DT 63372 3242 22 particular particular JJ 63372 3242 23 place place NN 63372 3242 24 , , , 63372 3242 25 by by IN 63372 3242 26 the the DT 63372 3242 27 above above JJ 63372 3242 28 factor factor NN 63372 3242 29 . . . 63372 3243 1 Then then RB 63372 3243 2 , , , 63372 3243 3 in in IN 63372 3243 4 terms term NNS 63372 3243 5 of of IN 63372 3243 6 the the DT 63372 3243 7 corrected correct VBN 63372 3243 8 measures measure NNS 63372 3243 9 so so RB 63372 3243 10 obtained obtain VBN 63372 3243 11 , , , 63372 3243 12 the the DT 63372 3243 13 particle particle NN 63372 3243 14 will will MD 63372 3243 15 be be VB 63372 3243 16 found find VBN 63372 3243 17 to to TO 63372 3243 18 describe describe VB 63372 3243 19 a a DT 63372 3243 20 straight straight JJ 63372 3243 21 line line NN 63372 3243 22 with with IN 63372 3243 23 constant constant JJ 63372 3243 24 velocity velocity NN 63372 3243 25 although although IN 63372 3243 26 , , , 63372 3243 27 in in IN 63372 3243 28 terms term NNS 63372 3243 29 of of IN 63372 3243 30 our -PRON- PRP$ 63372 3243 31 actual actual JJ 63372 3243 32 measures measure NNS 63372 3243 33 , , , 63372 3243 34 it -PRON- PRP 63372 3243 35 appears appear VBZ 63372 3243 36 to to TO 63372 3243 37 fall fall VB 63372 3243 38 with with IN 63372 3243 39 an an DT 63372 3243 40 acceleration acceleration NN 63372 3243 41 . . . 63372 3244 1 XXI xxi VB 63372 3244 2 THE the DT 63372 3244 3 EQUIVALENCE equivalence NN 63372 3244 4 HYPOTHESIS hypothesi VBZ 63372 3244 5 The the DT 63372 3244 6 Discussion Discussion NNP 63372 3244 7 of of IN 63372 3244 8 This this DT 63372 3244 9 , , , 63372 3244 10 With with IN 63372 3244 11 Its -PRON- PRP$ 63372 3244 12 Difficulties difficulty NNS 63372 3244 13 and and CC 63372 3244 14 the the DT 63372 3244 15 Manner Manner NNP 63372 3244 16 in in IN 63372 3244 17 Which which WDT 63372 3244 18 Einstein Einstein NNP 63372 3244 19 Has have VBZ 63372 3244 20 Resolved resolve VBN 63372 3244 21 Them -PRON- PRP 63372 3244 22 , , , 63372 3244 23 from from IN 63372 3244 24 the the DT 63372 3244 25 Essay Essay NNP 63372 3244 26 by by IN 63372 3244 27 PROF PROF NNP 63372 3244 28 . . NNP 63372 3244 29 E. E. NNP 63372 3244 30 N. N. NNP 63372 3244 31 DA DA NNP 63372 3244 32 C. C. NNP 63372 3244 33 ANDRADE ANDRADE NNP 63372 3244 34 , , , 63372 3244 35 ORDNANCE ORDNANCE NNP 63372 3244 36 COLLEGE COLLEGE NNP 63372 3244 37 , , , 63372 3244 38 WOOLWICH WOOLWICH NNP 63372 3244 39 , , , 63372 3244 40 ENGLAND ENGLAND NNP 63372 3244 41 Having have VBG 63372 3244 42 shown show VBN 63372 3244 43 that that IN 63372 3244 44 , , , 63372 3244 45 of of IN 63372 3244 46 several several JJ 63372 3244 47 systems system NNS 63372 3244 48 all all DT 63372 3244 49 moving move VBG 63372 3244 50 with with IN 63372 3244 51 reference reference NN 63372 3244 52 to to IN 63372 3244 53 one one CD 63372 3244 54 another another DT 63372 3244 55 with with IN 63372 3244 56 uniform uniform JJ 63372 3244 57 motion motion NN 63372 3244 58 , , , 63372 3244 59 no no DT 63372 3244 60 one one NN 63372 3244 61 is be VBZ 63372 3244 62 entitled entitle VBN 63372 3244 63 to to IN 63372 3244 64 any any DT 63372 3244 65 preference preference NN 63372 3244 66 over over IN 63372 3244 67 the the DT 63372 3244 68 others other NNS 63372 3244 69 , , , 63372 3244 70 and and CC 63372 3244 71 having have VBG 63372 3244 72 deduced deduce VBN 63372 3244 73 the the DT 63372 3244 74 laws law NNS 63372 3244 75 for for IN 63372 3244 76 such such JJ 63372 3244 77 systems system NNS 63372 3244 78 , , , 63372 3244 79 Einstein Einstein NNP 63372 3244 80 was be VBD 63372 3244 81 confronted confront VBN 63372 3244 82 with with IN 63372 3244 83 a a DT 63372 3244 84 difficulty difficulty NN 63372 3244 85 which which WDT 63372 3244 86 had have VBD 63372 3244 87 long long RB 63372 3244 88 been be VBN 63372 3244 89 felt feel VBN 63372 3244 90 . . . 63372 3245 1 A a DT 63372 3245 2 body body NN 63372 3245 3 rotating rotate VBG 63372 3245 4 , , , 63372 3245 5 which which WDT 63372 3245 6 is be VBZ 63372 3245 7 a a DT 63372 3245 8 special special JJ 63372 3245 9 case case NN 63372 3245 10 of of IN 63372 3245 11 an an DT 63372 3245 12 accelerated accelerated JJ 63372 3245 13 body body NN 63372 3245 14 , , , 63372 3245 15 can can MD 63372 3245 16 be be VB 63372 3245 17 distinguished distinguish VBN 63372 3245 18 from from IN 63372 3245 19 one one CD 63372 3245 20 at at IN 63372 3245 21 rest rest NN 63372 3245 22 , , , 63372 3245 23 without without IN 63372 3245 24 looking look VBG 63372 3245 25 outside outside IN 63372 3245 26 it -PRON- PRP 63372 3245 27 , , , 63372 3245 28 by by IN 63372 3245 29 the the DT 63372 3245 30 existence existence NN 63372 3245 31 of of IN 63372 3245 32 the the DT 63372 3245 33 so so RB 63372 3245 34 - - HYPH 63372 3245 35 called call VBN 63372 3245 36 centrifugal centrifugal JJ 63372 3245 37 forces force NNS 63372 3245 38 . . . 63372 3246 1 This this DT 63372 3246 2 circumstance circumstance NN 63372 3246 3 , , , 63372 3246 4 which which WDT 63372 3246 5 gives give VBZ 63372 3246 6 certain certain JJ 63372 3246 7 bodies body NNS 63372 3246 8 an an DT 63372 3246 9 absolute absolute JJ 63372 3246 10 or or CC 63372 3246 11 preferential preferential JJ 63372 3246 12 motion motion NN 63372 3246 13 , , , 63372 3246 14 is be VBZ 63372 3246 15 unpalatable unpalatable JJ 63372 3246 16 to to IN 63372 3246 17 the the DT 63372 3246 18 relativist relativist NN 63372 3246 19 ; ; : 63372 3246 20 he -PRON- PRP 63372 3246 21 would would MD 63372 3246 22 like like VB 63372 3246 23 there there RB 63372 3246 24 to to TO 63372 3246 25 be be VB 63372 3246 26 no no DT 63372 3246 27 difference difference NN 63372 3246 28 as as IN 63372 3246 29 regards regard VBZ 63372 3246 30 forces force NNS 63372 3246 31 [ [ -LRB- 63372 3246 32 13 13 CD 63372 3246 33 ] ] -RRB- 63372 3246 34 between between IN 63372 3246 35 the the DT 63372 3246 36 case case NN 63372 3246 37 when when WRB 63372 3246 38 the the DT 63372 3246 39 earth earth NN 63372 3246 40 rotates rotate VBZ 63372 3246 41 with with IN 63372 3246 42 reference reference NN 63372 3246 43 to to IN 63372 3246 44 outside outside JJ 63372 3246 45 bodies body NNS 63372 3246 46 ( ( -LRB- 63372 3246 47 the the DT 63372 3246 48 stars star NNS 63372 3246 49 ) ) -RRB- 63372 3246 50 considered consider VBD 63372 3246 51 as as IN 63372 3246 52 fixed fix VBN 63372 3246 53 , , , 63372 3246 54 and and CC 63372 3246 55 the the DT 63372 3246 56 case case NN 63372 3246 57 when when WRB 63372 3246 58 the the DT 63372 3246 59 earth earth NN 63372 3246 60 is be VBZ 63372 3246 61 considered consider VBN 63372 3246 62 fixed fix VBN 63372 3246 63 and and CC 63372 3246 64 all all DT 63372 3246 65 outside outside JJ 63372 3246 66 bodies body NNS 63372 3246 67 rotate rotate VBP 63372 3246 68 around around IN 63372 3246 69 it -PRON- PRP 63372 3246 70 . . . 63372 3247 1 This this DT 63372 3247 2 point point NN 63372 3247 3 can can MD 63372 3247 4 not not RB 63372 3247 5 be be VB 63372 3247 6 investigated investigate VBN 63372 3247 7 by by IN 63372 3247 8 direct direct JJ 63372 3247 9 experiment experiment NN 63372 3247 10 ; ; : 63372 3247 11 we -PRON- PRP 63372 3247 12 can can MD 63372 3247 13 spin spin VB 63372 3247 14 a a DT 63372 3247 15 top top NN 63372 3247 16 but but CC 63372 3247 17 we -PRON- PRP 63372 3247 18 can can MD 63372 3247 19 not not RB 63372 3247 20 keep keep VB 63372 3247 21 a a DT 63372 3247 22 top top NN 63372 3247 23 at at IN 63372 3247 24 rest rest NN 63372 3247 25 and and CC 63372 3247 26 spin spin VB 63372 3247 27 the the DT 63372 3247 28 world world NN 63372 3247 29 round round IN 63372 3247 30 it -PRON- PRP 63372 3247 31 , , , 63372 3247 32 to to TO 63372 3247 33 see see VB 63372 3247 34 if if IN 63372 3247 35 the the DT 63372 3247 36 forces force NNS 63372 3247 37 are be VBP 63372 3247 38 same same JJ 63372 3247 39 . . . 63372 3248 1 In in IN 63372 3248 2 considering consider VBG 63372 3248 3 the the DT 63372 3248 4 problem problem NN 63372 3248 5 of of IN 63372 3248 6 how how WRB 63372 3248 7 to to TO 63372 3248 8 devise devise VB 63372 3248 9 laws law NNS 63372 3248 10 which which WDT 63372 3248 11 should should MD 63372 3248 12 make make VB 63372 3248 13 all all DT 63372 3248 14 rotations rotation NNS 63372 3248 15 relative relative JJ 63372 3248 16 , , , 63372 3248 17 Einstein Einstein NNP 63372 3248 18 conceived conceive VBD 63372 3248 19 the the DT 63372 3248 20 brilliant brilliant JJ 63372 3248 21 yet yet CC 63372 3248 22 simple simple JJ 63372 3248 23 idea idea NN 63372 3248 24 that that IN 63372 3248 25 gravitation gravitation NN 63372 3248 26 could could MD 63372 3248 27 be be VB 63372 3248 28 brought bring VBN 63372 3248 29 into into IN 63372 3248 30 the the DT 63372 3248 31 scheme scheme NN 63372 3248 32 as as IN 63372 3248 33 an an DT 63372 3248 34 acceleration acceleration NN 63372 3248 35 effect effect NN 63372 3248 36 , , , 63372 3248 37 since since IN 63372 3248 38 both both DT 63372 3248 39 ordinary ordinary JJ 63372 3248 40 accelerational accelerational JJ 63372 3248 41 forces force NNS 63372 3248 42 and and CC 63372 3248 43 gravitational gravitational JJ 63372 3248 44 forces force NNS 63372 3248 45 are be VBP 63372 3248 46 proportional proportional JJ 63372 3248 47 to to IN 63372 3248 48 the the DT 63372 3248 49 same same JJ 63372 3248 50 thing thing NN 63372 3248 51 , , , 63372 3248 52 the the DT 63372 3248 53 mass mass NN 63372 3248 54 of of IN 63372 3248 55 a a DT 63372 3248 56 body body NN 63372 3248 57 . . . 63372 3249 1 The the DT 63372 3249 2 impossibility impossibility NN 63372 3249 3 of of IN 63372 3249 4 separating separate VBG 63372 3249 5 the the DT 63372 3249 6 two two CD 63372 3249 7 kinds kind NNS 63372 3249 8 of of IN 63372 3249 9 effect effect NN 63372 3249 10 can can MD 63372 3249 11 be be VB 63372 3249 12 easily easily RB 63372 3249 13 seen see VBN 63372 3249 14 by by IN 63372 3249 15 considering consider VBG 63372 3249 16 the the DT 63372 3249 17 starting starting NN 63372 3249 18 of of IN 63372 3249 19 an an DT 63372 3249 20 elevator elevator NN 63372 3249 21 . . . 63372 3250 1 When when WRB 63372 3250 2 the the DT 63372 3250 3 elevator elevator NN 63372 3250 4 is be VBZ 63372 3250 5 quickly quickly RB 63372 3250 6 accelerated accelerate VBN 63372 3250 7 upwards upwards RB 63372 3250 8 we -PRON- PRP 63372 3250 9 feel feel VBP 63372 3250 10 a a DT 63372 3250 11 downward downward JJ 63372 3250 12 pull pull NN 63372 3250 13 , , , 63372 3250 14 just just RB 63372 3250 15 as as IN 63372 3250 16 if if IN 63372 3250 17 the the DT 63372 3250 18 gravitational gravitational JJ 63372 3250 19 pull pull NN 63372 3250 20 had have VBD 63372 3250 21 been be VBN 63372 3250 22 increased increase VBN 63372 3250 23 , , , 63372 3250 24 and and CC 63372 3250 25 if if IN 63372 3250 26 the the DT 63372 3250 27 acceleration acceleration NN 63372 3250 28 continued continue VBD 63372 3250 29 to to TO 63372 3250 30 be be VB 63372 3250 31 uniform uniform JJ 63372 3250 32 , , , 63372 3250 33 bodies body NNS 63372 3250 34 tested test VBN 63372 3250 35 with with IN 63372 3250 36 a a DT 63372 3250 37 spring spring NN 63372 3250 38 balance balance NN 63372 3250 39 would would MD 63372 3250 40 all all DT 63372 3250 41 weigh weigh VB 63372 3250 42 more more RBR 63372 3250 43 in in IN 63372 3250 44 the the DT 63372 3250 45 elevator elevator NN 63372 3250 46 than than IN 63372 3250 47 they -PRON- PRP 63372 3250 48 did do VBD 63372 3250 49 on on IN 63372 3250 50 firm firm JJ 63372 3250 51 ground ground NN 63372 3250 52 . . . 63372 3251 1 In in IN 63372 3251 2 a a DT 63372 3251 3 similar similar JJ 63372 3251 4 way way NN 63372 3251 5 the the DT 63372 3251 6 whole whole NN 63372 3251 7 of of IN 63372 3251 8 the the DT 63372 3251 9 gravitational gravitational JJ 63372 3251 10 pull pull NN 63372 3251 11 may may MD 63372 3251 12 be be VB 63372 3251 13 considered consider VBN 63372 3251 14 to to TO 63372 3251 15 be be VB 63372 3251 16 an an DT 63372 3251 17 accelerational accelerational JJ 63372 3251 18 effect effect NN 63372 3251 19 , , , 63372 3251 20 the the DT 63372 3251 21 difficulty difficulty NN 63372 3251 22 being be VBG 63372 3251 23 to to TO 63372 3251 24 devise devise VB 63372 3251 25 laws law NNS 63372 3251 26 of of IN 63372 3251 27 motion motion NN 63372 3251 28 which which WDT 63372 3251 29 will will MD 63372 3251 30 give give VB 63372 3251 31 the the DT 63372 3251 32 effects effect NNS 63372 3251 33 that that WDT 63372 3251 34 we -PRON- PRP 63372 3251 35 find find VBP 63372 3251 36 by by IN 63372 3251 37 actual actual JJ 63372 3251 38 observation observation NN 63372 3251 39 . . . 63372 3252 1 But but CC 63372 3252 2 it -PRON- PRP 63372 3252 3 is be VBZ 63372 3252 4 obvious obvious JJ 63372 3252 5 that that IN 63372 3252 6 we -PRON- PRP 63372 3252 7 can can MD 63372 3252 8 not not RB 63372 3252 9 , , , 63372 3252 10 by by IN 63372 3252 11 ordinary ordinary JJ 63372 3252 12 mechanics mechanic NNS 63372 3252 13 , , , 63372 3252 14 consider consider VB 63372 3252 15 the the DT 63372 3252 16 earth earth NN 63372 3252 17 as as IN 63372 3252 18 being be VBG 63372 3252 19 accelerated accelerate VBN 63372 3252 20 in in IN 63372 3252 21 all all DT 63372 3252 22 directions direction NNS 63372 3252 23 , , , 63372 3252 24 which which WDT 63372 3252 25 we -PRON- PRP 63372 3252 26 should should MD 63372 3252 27 have have VB 63372 3252 28 to to TO 63372 3252 29 do do VB 63372 3252 30 , , , 63372 3252 31 apparently apparently RB 63372 3252 32 , , , 63372 3252 33 to to TO 63372 3252 34 account account VB 63372 3252 35 for for IN 63372 3252 36 the the DT 63372 3252 37 fact fact NN 63372 3252 38 that that IN 63372 3252 39 the the DT 63372 3252 40 gravitational gravitational JJ 63372 3252 41 pull pull NN 63372 3252 42 is be VBZ 63372 3252 43 always always RB 63372 3252 44 toward toward IN 63372 3252 45 the the DT 63372 3252 46 center center NN 63372 3252 47 . . . 63372 3253 1 [ [ -LRB- 63372 3253 2 It -PRON- PRP 63372 3253 3 is be VBZ 63372 3253 4 obvious obvious JJ 63372 3253 5 that that IN 63372 3253 6 we -PRON- PRP 63372 3253 7 can can MD 63372 3253 8 not not RB 63372 3253 9 explain explain VB 63372 3253 10 gravitation gravitation NN 63372 3253 11 by by IN 63372 3253 12 assuming assume VBG 63372 3253 13 that that IN 63372 3253 14 the the DT 63372 3253 15 earth earth NN 63372 3253 16 's 's POS 63372 3253 17 surface surface NN 63372 3253 18 is be VBZ 63372 3253 19 continually continually RB 63372 3253 20 moving move VBG 63372 3253 21 outward outward RB 63372 3253 22 with with IN 63372 3253 23 an an DT 63372 3253 24 accelerated accelerated JJ 63372 3253 25 velocity velocity NN 63372 3253 26 . . . 63372 3254 1 ] ] -RRB- 63372 3254 2 227 227 CD 63372 3254 3 So so RB 63372 3254 4 Einstein Einstein NNP 63372 3254 5 found find VBD 63372 3254 6 that that IN 63372 3254 7 , , , 63372 3254 8 as as RB 63372 3254 9 long long RB 63372 3254 10 as as IN 63372 3254 11 we -PRON- PRP 63372 3254 12 treat treat VBP 63372 3254 13 the the DT 63372 3254 14 problem problem NN 63372 3254 15 by by IN 63372 3254 16 Euclid Euclid NNP 63372 3254 17 's 's POS 63372 3254 18 geometry geometry NN 63372 3254 19 , , , 63372 3254 20 we -PRON- PRP 63372 3254 21 can can MD 63372 3254 22 not not RB 63372 3254 23 reach reach VB 63372 3254 24 a a DT 63372 3254 25 satisfactory satisfactory JJ 63372 3254 26 solution solution NN 63372 3254 27 . . . 63372 3255 1 But but CC 63372 3255 2 he -PRON- PRP 63372 3255 3 found find VBD 63372 3255 4 that that IN 63372 3255 5 to to IN 63372 3255 6 the the DT 63372 3255 7 four four CD 63372 3255 8 - - HYPH 63372 3255 9 dimensional dimensional JJ 63372 3255 10 space space NN 63372 3255 11 made make VBN 63372 3255 12 up up RP 63372 3255 13 of of IN 63372 3255 14 the the DT 63372 3255 15 three three CD 63372 3255 16 ordinary ordinary JJ 63372 3255 17 dimensions dimension NNS 63372 3255 18 of of IN 63372 3255 19 space space NN 63372 3255 20 , , , 63372 3255 21 together together RB 63372 3255 22 with with IN 63372 3255 23 the the DT 63372 3255 24 time time NN 63372 3255 25 - - HYPH 63372 3255 26 dimension dimension NN 63372 3255 27 which which WDT 63372 3255 28 we -PRON- PRP 63372 3255 29 have have VBP 63372 3255 30 already already RB 63372 3255 31 mentioned mention VBN 63372 3255 32 in in IN 63372 3255 33 discussing discuss VBG 63372 3255 34 the the DT 63372 3255 35 special special JJ 63372 3255 36 theory theory NN 63372 3255 37 , , , 63372 3255 38 may may MD 63372 3255 39 be be VB 63372 3255 40 attributed attribute VBN 63372 3255 41 a a DT 63372 3255 42 peculiar peculiar JJ 63372 3255 43 geometry geometry NN 63372 3255 44 , , , 63372 3255 45 the the DT 63372 3255 46 nature nature NN 63372 3255 47 of of IN 63372 3255 48 which which WDT 63372 3255 49 departs depart VBZ 63372 3255 50 more more JJR 63372 3255 51 and and CC 63372 3255 52 more more RBR 63372 3255 53 from from IN 63372 3255 54 Euclidean Euclidean NNP 63372 3255 55 geometry geometry NN 63372 3255 56 as as IN 63372 3255 57 we -PRON- PRP 63372 3255 58 approach approach VBP 63372 3255 59 a a DT 63372 3255 60 gravitational gravitational JJ 63372 3255 61 body body NN 63372 3255 62 , , , 63372 3255 63 and and CC 63372 3255 64 the the DT 63372 3255 65 net net JJ 63372 3255 66 result result NN 63372 3255 67 of of IN 63372 3255 68 which which WDT 63372 3255 69 is be VBZ 63372 3255 70 to to TO 63372 3255 71 make make VB 63372 3255 72 possible possible JJ 63372 3255 73 the the DT 63372 3255 74 universal universal JJ 63372 3255 75 correspondence correspondence NN 63372 3255 76 of of IN 63372 3255 77 gravitation gravitation NN 63372 3255 78 and and CC 63372 3255 79 acceleration acceleration NN 63372 3255 80 . . . 63372 3256 1 This this DT 63372 3256 2 modification modification NN 63372 3256 3 of of IN 63372 3256 4 the the DT 63372 3256 5 geometry geometry NN 63372 3256 6 of of IN 63372 3256 7 space space NN 63372 3256 8 is be VBZ 63372 3256 9 often often RB 63372 3256 10 spoken speak VBN 63372 3256 11 of of IN 63372 3256 12 as as IN 63372 3256 13 the the DT 63372 3256 14 " " `` 63372 3256 15 curvature curvature NN 63372 3256 16 of of IN 63372 3256 17 space space NN 63372 3256 18 , , , 63372 3256 19 " " '' 63372 3256 20 an an DT 63372 3256 21 expression expression NN 63372 3256 22 which which WDT 63372 3256 23 is be VBZ 63372 3256 24 puzzling puzzle VBG 63372 3256 25 , , , 63372 3256 26 especially especially RB 63372 3256 27 as as IN 63372 3256 28 the the DT 63372 3256 29 space space NN 63372 3256 30 which which WDT 63372 3256 31 is be VBZ 63372 3256 32 " " `` 63372 3256 33 curved curved JJ 63372 3256 34 " " '' 63372 3256 35 is be VBZ 63372 3256 36 four four CD 63372 3256 37 - - HYPH 63372 3256 38 dimensional dimensional JJ 63372 3256 39 time time NN 63372 3256 40 - - HYPH 63372 3256 41 space space NN 63372 3256 42 . . . 63372 3257 1 But but CC 63372 3257 2 we -PRON- PRP 63372 3257 3 can can MD 63372 3257 4 get get VB 63372 3257 5 an an DT 63372 3257 6 idea idea NN 63372 3257 7 of of IN 63372 3257 8 what what WP 63372 3257 9 is be VBZ 63372 3257 10 meant mean VBN 63372 3257 11 by by IN 63372 3257 12 considering consider VBG 63372 3257 13 figures figure NNS 63372 3257 14 , , , 63372 3257 15 triangles triangle NNS 63372 3257 16 say say VBP 63372 3257 17 , , , 63372 3257 18 drawn draw VBN 63372 3257 19 on on IN 63372 3257 20 the the DT 63372 3257 21 surface surface NN 63372 3257 22 , , , 63372 3257 23 of of IN 63372 3257 24 a a DT 63372 3257 25 sphere sphere NN 63372 3257 26 . . . 63372 3258 1 These these DT 63372 3258 2 triangles triangle NNS 63372 3258 3 , , , 63372 3258 4 although although IN 63372 3258 5 drawn draw VBN 63372 3258 6 on on IN 63372 3258 7 a a DT 63372 3258 8 surface surface NN 63372 3258 9 , , , 63372 3258 10 will will MD 63372 3258 11 not not RB 63372 3258 12 have have VB 63372 3258 13 the the DT 63372 3258 14 same same JJ 63372 3258 15 properties property NNS 63372 3258 16 as as IN 63372 3258 17 triangles triangle NNS 63372 3258 18 drawn draw VBN 63372 3258 19 on on IN 63372 3258 20 flat flat JJ 63372 3258 21 paper paper NN 63372 3258 22 -- -- : 63372 3258 23 their -PRON- PRP$ 63372 3258 24 three three CD 63372 3258 25 angles angle NNS 63372 3258 26 will will MD 63372 3258 27 not not RB 63372 3258 28 together together RB 63372 3258 29 equal equal VB 63372 3258 30 right right JJ 63372 3258 31 angles angle NNS 63372 3258 32 . . . 63372 3259 1 They -PRON- PRP 63372 3259 2 will will MD 63372 3259 3 be be VB 63372 3259 4 non non JJ 63372 3259 5 - - JJ 63372 3259 6 Euclidean euclidean JJ 63372 3259 7 . . . 63372 3260 1 This this DT 63372 3260 2 is be VBZ 63372 3260 3 only only RB 63372 3260 4 a a DT 63372 3260 5 rough rough JJ 63372 3260 6 analogy analogy NN 63372 3260 7 , , , 63372 3260 8 but but CC 63372 3260 9 we -PRON- PRP 63372 3260 10 can can MD 63372 3260 11 see see VB 63372 3260 12 that that IN 63372 3260 13 the the DT 63372 3260 14 curvature curvature NN 63372 3260 15 of of IN 63372 3260 16 the the DT 63372 3260 17 surface surface NN 63372 3260 18 causes cause VBZ 63372 3260 19 a a DT 63372 3260 20 departure departure NN 63372 3260 21 from from IN 63372 3260 22 Euclidean Euclidean NNP 63372 3260 23 geometry geometry NN 63372 3260 24 for for IN 63372 3260 25 plane plane NN 63372 3260 26 figures figure NNS 63372 3260 27 , , , 63372 3260 28 and and CC 63372 3260 29 consequently consequently RB 63372 3260 30 the the DT 63372 3260 31 departure departure NN 63372 3260 32 from from IN 63372 3260 33 Euclidean euclidean JJ 63372 3260 34 laws law NNS 63372 3260 35 extended extend VBD 63372 3260 36 to to IN 63372 3260 37 four four CD 63372 3260 38 dimensions dimension NNS 63372 3260 39 may may MD 63372 3260 40 be be VB 63372 3260 41 referred refer VBN 63372 3260 42 to to IN 63372 3260 43 as as IN 63372 3260 44 caused cause VBN 63372 3260 45 by by IN 63372 3260 46 " " `` 63372 3260 47 curvature curvature NN 63372 3260 48 of of IN 63372 3260 49 space space NN 63372 3260 50 . . . 63372 3260 51 " " '' 63372 3261 1 It -PRON- PRP 63372 3261 2 is be VBZ 63372 3261 3 difficult difficult JJ 63372 3261 4 to to TO 63372 3261 5 imagine imagine VB 63372 3261 6 a a DT 63372 3261 7 lump lump NN 63372 3261 8 of of IN 63372 3261 9 matter matter NN 63372 3261 10 affecting affect VBG 63372 3261 11 the the DT 63372 3261 12 geometry geometry NN 63372 3261 13 of of IN 63372 3261 14 the the DT 63372 3261 15 space space NN 63372 3261 16 round round IN 63372 3261 17 it -PRON- PRP 63372 3261 18 . . . 63372 3262 1 Once once RB 63372 3262 2 more more RBR 63372 3262 3 we -PRON- PRP 63372 3262 4 must must MD 63372 3262 5 use use VB 63372 3262 6 a a DT 63372 3262 7 rough rough JJ 63372 3262 8 illustration illustration NN 63372 3262 9 . . . 63372 3263 1 Imagine imagine VB 63372 3263 2 a a DT 63372 3263 3 very very RB 63372 3263 4 hot hot JJ 63372 3263 5 body body NN 63372 3263 6 , , , 63372 3263 7 and and CC 63372 3263 8 that that IN 63372 3263 9 , , , 63372 3263 10 knowing know VBG 63372 3263 11 nothing nothing NN 63372 3263 12 of of IN 63372 3263 13 its -PRON- PRP$ 63372 3263 14 properties property NNS 63372 3263 15 , , , 63372 3263 16 we -PRON- PRP 63372 3263 17 have have VBP 63372 3263 18 to to TO 63372 3263 19 measure measure VB 63372 3263 20 up up RP 63372 3263 21 the the DT 63372 3263 22 space space NN 63372 3263 23 round round IN 63372 3263 24 it -PRON- PRP 63372 3263 25 with with IN 63372 3263 26 metal metal NN 63372 3263 27 measuring measuring NN 63372 3263 28 - - HYPH 63372 3263 29 rods rod NNS 63372 3263 30 . . . 63372 3264 1 The the DT 63372 3264 2 nearer nearer NN 63372 3264 3 we -PRON- PRP 63372 3264 4 are be VBP 63372 3264 5 to to IN 63372 3264 6 the the DT 63372 3264 7 body body NN 63372 3264 8 , , , 63372 3264 9 the the DT 63372 3264 10 longer long JJR 63372 3264 11 the the DT 63372 3264 12 rods rod NNS 63372 3264 13 will will MD 63372 3264 14 become become VB 63372 3264 15 , , , 63372 3264 16 owing owe VBG 63372 3264 17 to to IN 63372 3264 18 the the DT 63372 3264 19 expansion expansion NN 63372 3264 20 of of IN 63372 3264 21 the the DT 63372 3264 22 metal metal NN 63372 3264 23 . . . 63372 3265 1 When when WRB 63372 3265 2 we -PRON- PRP 63372 3265 3 measure measure VBP 63372 3265 4 out out RP 63372 3265 5 a a DT 63372 3265 6 square square NN 63372 3265 7 , , , 63372 3265 8 one one CD 63372 3265 9 side side NN 63372 3265 10 of of IN 63372 3265 11 which which WDT 63372 3265 12 is be VBZ 63372 3265 13 nearer near JJR 63372 3265 14 the the DT 63372 3265 15 body body NN 63372 3265 16 than than IN 63372 3265 17 the the DT 63372 3265 18 opposite opposite JJ 63372 3265 19 side side NN 63372 3265 20 , , , 63372 3265 21 its -PRON- PRP$ 63372 3265 22 angles angle NNS 63372 3265 23 will will MD 63372 3265 24 not not RB 63372 3265 25 be be VB 63372 3265 26 right right JJ 63372 3265 27 angles angle NNS 63372 3265 28 . . . 63372 3266 1 If if IN 63372 3266 2 we -PRON- PRP 63372 3266 3 knew know VBD 63372 3266 4 nothing nothing NN 63372 3266 5 of of IN 63372 3266 6 the the DT 63372 3266 7 laws law NNS 63372 3266 8 of of IN 63372 3266 9 heat heat NN 63372 3266 10 we -PRON- PRP 63372 3266 11 should should MD 63372 3266 12 say say VB 63372 3266 13 that that IN 63372 3266 14 the the DT 63372 3266 15 body body NN 63372 3266 16 had have VBD 63372 3266 17 made make VBN 63372 3266 18 the the DT 63372 3266 19 space space NN 63372 3266 20 round round IN 63372 3266 21 it -PRON- PRP 63372 3266 22 non non JJ 63372 3266 23 - - JJ 63372 3266 24 Euclidean euclidean JJ 63372 3266 25 . . . 63372 3267 1 Einstein Einstein NNP 63372 3267 2 found find VBD 63372 3267 3 , , , 63372 3267 4 then then RB 63372 3267 5 , , , 63372 3267 6 that that IN 63372 3267 7 by by IN 63372 3267 8 taking take VBG 63372 3267 9 the the DT 63372 3267 10 properties property NNS 63372 3267 11 of of IN 63372 3267 12 space space NN 63372 3267 13 , , , 63372 3267 14 as as IN 63372 3267 15 given give VBN 63372 3267 16 by by IN 63372 3267 17 measurement measurement NN 63372 3267 18 , , , 63372 3267 19 to to TO 63372 3267 20 be be VB 63372 3267 21 modified modify VBN 63372 3267 22 in in IN 63372 3267 23 the the DT 63372 3267 24 neighborhood neighborhood NN 63372 3267 25 of of IN 63372 3267 26 masses masse NNS 63372 3267 27 of of IN 63372 3267 28 matter matter NN 63372 3267 29 , , , 63372 3267 30 he -PRON- PRP 63372 3267 31 could could MD 63372 3267 32 devise devise VB 63372 3267 33 general general JJ 63372 3267 34 laws law NNS 63372 3267 35 according accord VBG 63372 3267 36 to to IN 63372 3267 37 which which WDT 63372 3267 38 gravitational gravitational JJ 63372 3267 39 effects effect NNS 63372 3267 40 would would MD 63372 3267 41 be be VB 63372 3267 42 produced produce VBN 63372 3267 43 , , , 63372 3267 44 and and CC 63372 3267 45 there there EX 63372 3267 46 would would MD 63372 3267 47 be be VB 63372 3267 48 no no DT 63372 3267 49 absolute absolute JJ 63372 3267 50 rotation rotation NN 63372 3267 51 . . . 63372 3268 1 All all DT 63372 3268 2 forces force NNS 63372 3268 3 will will MD 63372 3268 4 be be VB 63372 3268 5 the the DT 63372 3268 6 same same JJ 63372 3268 7 whether whether IN 63372 3268 8 a a DT 63372 3268 9 body body NN 63372 3268 10 rotates rotate VBZ 63372 3268 11 with with IN 63372 3268 12 everything everything NN 63372 3268 13 outside outside IN 63372 3268 14 it -PRON- PRP 63372 3268 15 fixed fix VBD 63372 3268 16 , , , 63372 3268 17 or or CC 63372 3268 18 the the DT 63372 3268 19 body body NN 63372 3268 20 is be VBZ 63372 3268 21 fixed fix VBN 63372 3268 22 , , , 63372 3268 23 and and CC 63372 3268 24 everything everything NN 63372 3268 25 rotates rotate NNS 63372 3268 26 round round VBP 63372 3268 27 it -PRON- PRP 63372 3268 28 . . . 63372 3269 1 All all DT 63372 3269 2 motion motion NN 63372 3269 3 is be VBZ 63372 3269 4 then then RB 63372 3269 5 relative relative JJ 63372 3269 6 , , , 63372 3269 7 and and CC 63372 3269 8 the the DT 63372 3269 9 theory theory NN 63372 3269 10 is be VBZ 63372 3269 11 one one CD 63372 3269 12 of of IN 63372 3269 13 " " `` 63372 3269 14 general general JJ 63372 3269 15 relativity relativity NN 63372 3269 16 . . . 63372 3269 17 " " '' 63372 3270 1 The the DT 63372 3270 2 velocity velocity NN 63372 3270 3 of of IN 63372 3270 4 light light NN 63372 3270 5 is be VBZ 63372 3270 6 , , , 63372 3270 7 however however RB 63372 3270 8 , , , 63372 3270 9 no no RB 63372 3270 10 longer longer RB 63372 3270 11 constant constant JJ 63372 3270 12 , , , 63372 3270 13 and and CC 63372 3270 14 its -PRON- PRP$ 63372 3270 15 path path NN 63372 3270 16 is be VBZ 63372 3270 17 not not RB 63372 3270 18 a a DT 63372 3270 19 straight straight JJ 63372 3270 20 line line NN 63372 3270 21 , , , 63372 3270 22 if if IN 63372 3270 23 it -PRON- PRP 63372 3270 24 is be VBZ 63372 3270 25 passing pass VBG 63372 3270 26 near near IN 63372 3270 27 gravitating gravitate VBG 63372 3270 28 matter matter NN 63372 3270 29 . . . 63372 3271 1 This this DT 63372 3271 2 does do VBZ 63372 3271 3 not not RB 63372 3271 4 contradict contradict VB 63372 3271 5 the the DT 63372 3271 6 special special JJ 63372 3271 7 theory theory NN 63372 3271 8 , , , 63372 3271 9 which which WDT 63372 3271 10 did do VBD 63372 3271 11 not not RB 63372 3271 12 allow allow VB 63372 3271 13 for for IN 63372 3271 14 gravitation gravitation NN 63372 3271 15 . . . 63372 3272 1 Rather rather RB 63372 3272 2 , , , 63372 3272 3 the the DT 63372 3272 4 special special JJ 63372 3272 5 theory theory NN 63372 3272 6 is be VBZ 63372 3272 7 a a DT 63372 3272 8 particular particular JJ 63372 3272 9 case case NN 63372 3272 10 to to TO 63372 3272 11 which which WDT 63372 3272 12 the the DT 63372 3272 13 generalised generalise VBN 63372 3272 14 theory theory NN 63372 3272 15 reduces reduce VBZ 63372 3272 16 when when WRB 63372 3272 17 there there EX 63372 3272 18 is be VBZ 63372 3272 19 no no DT 63372 3272 20 matter matter NN 63372 3272 21 about about IN 63372 3272 22 , , , 63372 3272 23 just just RB 63372 3272 24 as as IN 63372 3272 25 the the DT 63372 3272 26 Newtonian newtonian JJ 63372 3272 27 dynamics dynamic NNS 63372 3272 28 is be VBZ 63372 3272 29 a a DT 63372 3272 30 special special JJ 63372 3272 31 case case NN 63372 3272 32 of of IN 63372 3272 33 the the DT 63372 3272 34 special special JJ 63372 3272 35 theory theory NN 63372 3272 36 , , , 63372 3272 37 which which WDT 63372 3272 38 we -PRON- PRP 63372 3272 39 obtain obtain VBP 63372 3272 40 when when WRB 63372 3272 41 all all DT 63372 3272 42 velocities velocity NNS 63372 3272 43 are be VBP 63372 3272 44 small small JJ 63372 3272 45 compared compare VBN 63372 3272 46 to to IN 63372 3272 47 that that DT 63372 3272 48 of of IN 63372 3272 49 light light NN 63372 3272 50 . . . 63372 3273 1 XXII xxii IN 63372 3273 2 THE the DT 63372 3273 3 GENERAL GENERAL NNP 63372 3273 4 THEORY THEORY NNP 63372 3273 5 Fragments Fragments NNPS 63372 3273 6 of of IN 63372 3273 7 Particular particular JJ 63372 3273 8 Merit Merit NNP 63372 3273 9 on on IN 63372 3273 10 This this DT 63372 3273 11 Phase Phase NNP 63372 3273 12 of of IN 63372 3273 13 the the DT 63372 3273 14 Subject Subject NNP 63372 3273 15 BY by IN 63372 3273 16 VARIOUS various NN 63372 3273 17 CONTRIBUTORS contributor NNS 63372 3273 18 When when WRB 63372 3273 19 Dorothy Dorothy NNP 63372 3273 20 was be VBD 63372 3273 21 carried carry VBN 63372 3273 22 by by IN 63372 3273 23 the the DT 63372 3273 24 cyclone cyclone NN 63372 3273 25 from from IN 63372 3273 26 her -PRON- PRP$ 63372 3273 27 home home NN 63372 3273 28 in in IN 63372 3273 29 Kansas Kansas NNP 63372 3273 30 to to IN 63372 3273 31 the the DT 63372 3273 32 land land NN 63372 3273 33 of of IN 63372 3273 34 Oz Oz NNP 63372 3273 35 , , , 63372 3273 36 together together RB 63372 3273 37 with with IN 63372 3273 38 her -PRON- PRP$ 63372 3273 39 uncle uncle NN 63372 3273 40 's 's POS 63372 3273 41 house house NN 63372 3273 42 and and CC 63372 3273 43 her -PRON- PRP$ 63372 3273 44 little little JJ 63372 3273 45 dog dog NN 63372 3273 46 Toto Toto NNP 63372 3273 47 , , , 63372 3273 48 she -PRON- PRP 63372 3273 49 neglected neglect VBD 63372 3273 50 to to TO 63372 3273 51 lower lower VB 63372 3273 52 the the DT 63372 3273 53 trap trap NN 63372 3273 54 door door NN 63372 3273 55 over over IN 63372 3273 56 the the DT 63372 3273 57 hole hole NN 63372 3273 58 in in IN 63372 3273 59 the the DT 63372 3273 60 floor floor NN 63372 3273 61 which which WDT 63372 3273 62 formerly formerly RB 63372 3273 63 led lead VBD 63372 3273 64 to to IN 63372 3273 65 the the DT 63372 3273 66 cyclone cyclone NN 63372 3273 67 cellar cellar NN 63372 3273 68 and and CC 63372 3273 69 Toto Toto NNP 63372 3273 70 stepped step VBD 63372 3273 71 through through RB 63372 3273 72 . . . 63372 3274 1 Dorothy Dorothy NNP 63372 3274 2 rushed rush VBD 63372 3274 3 to to IN 63372 3274 4 the the DT 63372 3274 5 opening opening NN 63372 3274 6 expecting expecting NN 63372 3274 7 to to TO 63372 3274 8 see see VB 63372 3274 9 him -PRON- PRP 63372 3274 10 dashed dash VBN 63372 3274 11 onto onto IN 63372 3274 12 the the DT 63372 3274 13 rocks rock NNS 63372 3274 14 below below RB 63372 3274 15 but but CC 63372 3274 16 found find VBD 63372 3274 17 him -PRON- PRP 63372 3274 18 floating float VBG 63372 3274 19 just just RB 63372 3274 20 below below IN 63372 3274 21 the the DT 63372 3274 22 floor floor NN 63372 3274 23 . . . 63372 3275 1 She -PRON- PRP 63372 3275 2 drew draw VBD 63372 3275 3 him -PRON- PRP 63372 3275 4 back back RB 63372 3275 5 into into IN 63372 3275 6 the the DT 63372 3275 7 room room NN 63372 3275 8 and and CC 63372 3275 9 closed close VBD 63372 3275 10 the the DT 63372 3275 11 trap trap NN 63372 3275 12 . . . 63372 3276 1 The the DT 63372 3276 2 author author NN 63372 3276 3 of of IN 63372 3276 4 the the DT 63372 3276 5 chronicle chronicle NN 63372 3276 6 of of IN 63372 3276 7 Dorothy Dorothy NNP 63372 3276 8 's 's POS 63372 3276 9 adventures adventure NNS 63372 3276 10 explains explain VBZ 63372 3276 11 that that IN 63372 3276 12 the the DT 63372 3276 13 same same JJ 63372 3276 14 force force NN 63372 3276 15 which which WDT 63372 3276 16 held hold VBD 63372 3276 17 up up RP 63372 3276 18 the the DT 63372 3276 19 house house NN 63372 3276 20 held hold VBN 63372 3276 21 up up RP 63372 3276 22 Toto Toto NNP 63372 3276 23 but but CC 63372 3276 24 this this DT 63372 3276 25 explanation explanation NN 63372 3276 26 is be VBZ 63372 3276 27 not not RB 63372 3276 28 necessary necessary JJ 63372 3276 29 . . . 63372 3277 1 Dorothy Dorothy NNP 63372 3277 2 was be VBD 63372 3277 3 now now RB 63372 3277 4 floating float VBG 63372 3277 5 through through IN 63372 3277 6 space space NN 63372 3277 7 and and CC 63372 3277 8 house house NN 63372 3277 9 and and CC 63372 3277 10 dog dog NN 63372 3277 11 were be VBD 63372 3277 12 subject subject JJ 63372 3277 13 to to IN 63372 3277 14 the the DT 63372 3277 15 same same JJ 63372 3277 16 forces force NNS 63372 3277 17 of of IN 63372 3277 18 gravitation gravitation NN 63372 3277 19 which which WDT 63372 3277 20 gave give VBD 63372 3277 21 them -PRON- PRP 63372 3277 22 identical identical JJ 63372 3277 23 motions motion NNS 63372 3277 24 . . . 63372 3278 1 Dorothy Dorothy NNP 63372 3278 2 must must MD 63372 3278 3 have have VB 63372 3278 4 pushed push VBN 63372 3278 5 the the DT 63372 3278 6 dog dog NN 63372 3278 7 down down RP 63372 3278 8 onto onto IN 63372 3278 9 the the DT 63372 3278 10 floor floor NN 63372 3278 11 and and CC 63372 3278 12 in in IN 63372 3278 13 doing do VBG 63372 3278 14 so so RB 63372 3278 15 must must MD 63372 3278 16 herself -PRON- PRP 63372 3278 17 have have VB 63372 3278 18 floated float VBN 63372 3278 19 to to IN 63372 3278 20 the the DT 63372 3278 21 ceiling ceiling NN 63372 3278 22 whence whence NN 63372 3278 23 she -PRON- PRP 63372 3278 24 might may MD 63372 3278 25 have have VB 63372 3278 26 pushed push VBN 63372 3278 27 herself -PRON- PRP 63372 3278 28 back back RB 63372 3278 29 to to IN 63372 3278 30 the the DT 63372 3278 31 floor floor NN 63372 3278 32 . . . 63372 3279 1 In in IN 63372 3279 2 fact fact NN 63372 3279 3 gravitation gravitation NN 63372 3279 4 was be VBD 63372 3279 5 apparently apparently RB 63372 3279 6 suspended suspend VBN 63372 3279 7 and and CC 63372 3279 8 Dorothy Dorothy NNP 63372 3279 9 was be VBD 63372 3279 10 in in IN 63372 3279 11 a a DT 63372 3279 12 position position NN 63372 3279 13 to to TO 63372 3279 14 have have VB 63372 3279 15 tried try VBN 63372 3279 16 certain certain JJ 63372 3279 17 experiments experiment NNS 63372 3279 18 which which WDT 63372 3279 19 Einstein Einstein NNP 63372 3279 20 has have VBZ 63372 3279 21 never never RB 63372 3279 22 tried try VBN 63372 3279 23 because because IN 63372 3279 24 he -PRON- PRP 63372 3279 25 was be VBD 63372 3279 26 never never RB 63372 3279 27 in in IN 63372 3279 28 Dorothy Dorothy NNP 63372 3279 29 's 's POS 63372 3279 30 unique unique JJ 63372 3279 31 position position NN 63372 3279 32 . . . 63372 3280 1 ] ] -RRB- 63372 3280 2 188 188 CD 63372 3280 3 The the DT 63372 3280 4 Principle Principle NNP 63372 3280 5 of of IN 63372 3280 6 Equivalence Equivalence NNP 63372 3280 7 , , , 63372 3280 8 of of IN 63372 3280 9 which which WDT 63372 3280 10 Einstein Einstein NNP 63372 3280 11 's 's POS 63372 3280 12 suspended suspend VBN 63372 3280 13 cage cage NN 63372 3280 14 experiment experiment NN 63372 3280 15 is be VBZ 63372 3280 16 the the DT 63372 3280 17 usual usual JJ 63372 3280 18 illustration illustration NN 63372 3280 19 , , , 63372 3280 20 and and CC 63372 3280 21 upon upon IN 63372 3280 22 which which WDT 63372 3280 23 the the DT 63372 3280 24 generalized generalize VBN 63372 3280 25 theory theory NN 63372 3280 26 of of IN 63372 3280 27 relativity relativity NN 63372 3280 28 is be VBZ 63372 3280 29 built build VBN 63372 3280 30 , , , 63372 3280 31 is be VBZ 63372 3280 32 thus thus RB 63372 3280 33 stated state VBN 63372 3280 34 by by IN 63372 3280 35 Prof. Prof. NNP 63372 3280 36 Eddington Eddington NNP 63372 3280 37 : : : 63372 3280 38 " " `` 63372 3280 39 A a DT 63372 3280 40 gravitational gravitational JJ 63372 3280 41 field field NN 63372 3280 42 of of IN 63372 3280 43 force force NN 63372 3280 44 is be VBZ 63372 3280 45 precisely precisely RB 63372 3280 46 equivalent equivalent JJ 63372 3280 47 to to IN 63372 3280 48 an an DT 63372 3280 49 artificial artificial JJ 63372 3280 50 field field NN 63372 3280 51 of of IN 63372 3280 52 force force NN 63372 3280 53 , , , 63372 3280 54 so so IN 63372 3280 55 that that IN 63372 3280 56 in in IN 63372 3280 57 any any DT 63372 3280 58 small small JJ 63372 3280 59 region region NN 63372 3280 60 it -PRON- PRP 63372 3280 61 is be VBZ 63372 3280 62 impossible impossible JJ 63372 3280 63 , , , 63372 3280 64 by by IN 63372 3280 65 any any DT 63372 3280 66 conceivable conceivable JJ 63372 3280 67 experiment experiment NN 63372 3280 68 , , , 63372 3280 69 to to TO 63372 3280 70 distinguish distinguish VB 63372 3280 71 between between IN 63372 3280 72 them -PRON- PRP 63372 3280 73 . . . 63372 3281 1 In in IN 63372 3281 2 other other JJ 63372 3281 3 words word NNS 63372 3281 4 , , , 63372 3281 5 force force NN 63372 3281 6 is be VBZ 63372 3281 7 purely purely RB 63372 3281 8 relative relative JJ 63372 3281 9 . . . 63372 3281 10 " " '' 63372 3282 1 This this DT 63372 3282 2 may may MD 63372 3282 3 be be VB 63372 3282 4 otherwise otherwise RB 63372 3282 5 stated state VBN 63372 3282 6 by by IN 63372 3282 7 going go VBG 63372 3282 8 back back RB 63372 3282 9 to to IN 63372 3282 10 our -PRON- PRP$ 63372 3282 11 idea idea NN 63372 3282 12 of of IN 63372 3282 13 a a DT 63372 3282 14 four four CD 63372 3282 15 - - HYPH 63372 3282 16 dimensional dimensional JJ 63372 3282 17 world world NN 63372 3282 18 , , , 63372 3282 19 the the DT 63372 3282 20 points point NNS 63372 3282 21 of of IN 63372 3282 22 which which WDT 63372 3282 23 represent represent VBP 63372 3282 24 the the DT 63372 3282 25 positions position NNS 63372 3282 26 and and CC 63372 3282 27 times time NNS 63372 3282 28 of of IN 63372 3282 29 events event NNS 63372 3282 30 . . . 63372 3283 1 If if IN 63372 3283 2 we -PRON- PRP 63372 3283 3 mark mark VBP 63372 3283 4 in in IN 63372 3283 5 such such PDT 63372 3283 6 a a DT 63372 3283 7 space space NN 63372 3283 8 - - HYPH 63372 3283 9 time time NN 63372 3283 10 the the DT 63372 3283 11 successive successive JJ 63372 3283 12 positions position NNS 63372 3283 13 of of IN 63372 3283 14 an an DT 63372 3283 15 object object NN 63372 3283 16 we -PRON- PRP 63372 3283 17 get get VBP 63372 3283 18 a a DT 63372 3283 19 line line NN 63372 3283 20 , , , 63372 3283 21 or or CC 63372 3283 22 curve curve NN 63372 3283 23 , , , 63372 3283 24 which which WDT 63372 3283 25 represents represent VBZ 63372 3283 26 the the DT 63372 3283 27 whole whole JJ 63372 3283 28 history history NN 63372 3283 29 of of IN 63372 3283 30 the the DT 63372 3283 31 object object NN 63372 3283 32 , , , 63372 3283 33 inasmuch inasmuch JJ 63372 3283 34 as as IN 63372 3283 35 it -PRON- PRP 63372 3283 36 shows show VBZ 63372 3283 37 us -PRON- PRP 63372 3283 38 the the DT 63372 3283 39 position position NN 63372 3283 40 of of IN 63372 3283 41 the the DT 63372 3283 42 object object NN 63372 3283 43 at at IN 63372 3283 44 every every DT 63372 3283 45 time time NN 63372 3283 46 . . . 63372 3284 1 The the DT 63372 3284 2 reader reader NN 63372 3284 3 may may MD 63372 3284 4 imagine imagine VB 63372 3284 5 that that IN 63372 3284 6 all all DT 63372 3284 7 events event NNS 63372 3284 8 happen happen VBP 63372 3284 9 in in IN 63372 3284 10 one one CD 63372 3284 11 plane plane NN 63372 3284 12 , , , 63372 3284 13 so so IN 63372 3284 14 that that IN 63372 3284 15 only only RB 63372 3284 16 two two CD 63372 3284 17 perpendicular perpendicular JJ 63372 3284 18 dimensions dimension NNS 63372 3284 19 are be VBP 63372 3284 20 needed need VBN 63372 3284 21 to to TO 63372 3284 22 fix fix VB 63372 3284 23 positions position NNS 63372 3284 24 in in IN 63372 3284 25 space space NN 63372 3284 26 , , , 63372 3284 27 with with IN 63372 3284 28 a a DT 63372 3284 29 third third JJ 63372 3284 30 perpendicular perpendicular JJ 63372 3284 31 dimension dimension NN 63372 3284 32 for for IN 63372 3284 33 time time NN 63372 3284 34 . . . 63372 3285 1 He -PRON- PRP 63372 3285 2 may may MD 63372 3285 3 then then RB 63372 3285 4 conceive conceive VB 63372 3285 5 , , , 63372 3285 6 if if IN 63372 3285 7 he -PRON- PRP 63372 3285 8 may may MD 63372 3285 9 not not RB 63372 3285 10 picture picture VB 63372 3285 11 , , , 63372 3285 12 an an DT 63372 3285 13 analogous analogous JJ 63372 3285 14 process process NN 63372 3285 15 for for IN 63372 3285 16 four four CD 63372 3285 17 - - HYPH 63372 3285 18 dimensional dimensional JJ 63372 3285 19 space space NN 63372 3285 20 - - HYPH 63372 3285 21 time time NN 63372 3285 22 . . . 63372 3286 1 These these DT 63372 3286 2 lines line NNS 63372 3286 3 , , , 63372 3286 4 " " '' 63372 3286 5 tracks track NNS 63372 3286 6 of of IN 63372 3286 7 objects object NNS 63372 3286 8 through through IN 63372 3286 9 space space NN 63372 3286 10 - - HYPH 63372 3286 11 time time NN 63372 3286 12 , , , 63372 3286 13 " " '' 63372 3286 14 were be VBD 63372 3286 15 called call VBN 63372 3286 16 by by IN 63372 3286 17 Minkowski Minkowski NNP 63372 3286 18 " " '' 63372 3286 19 world world NN 63372 3286 20 - - HYPH 63372 3286 21 lines line NNS 63372 3286 22 . . . 63372 3286 23 " " '' 63372 3287 1 We -PRON- PRP 63372 3287 2 may may MD 63372 3287 3 now now RB 63372 3287 4 say say VB 63372 3287 5 that that IN 63372 3287 6 all all PDT 63372 3287 7 the the DT 63372 3287 8 events event NNS 63372 3287 9 we -PRON- PRP 63372 3287 10 observe observe VBP 63372 3287 11 are be VBP 63372 3287 12 the the DT 63372 3287 13 intersections intersection NNS 63372 3287 14 of of IN 63372 3287 15 world world NN 63372 3287 16 - - HYPH 63372 3287 17 lines line NNS 63372 3287 18 . . . 63372 3288 1 The the DT 63372 3288 2 temperature temperature NN 63372 3288 3 at at IN 63372 3288 4 noon noon NN 63372 3288 5 was be VBD 63372 3288 6 70 70â CD 63372 3288 7 ° ° NNS 63372 3288 8 . . . 63372 3289 1 This this DT 63372 3289 2 means mean VBZ 63372 3289 3 that that IN 63372 3289 4 if if IN 63372 3289 5 I -PRON- PRP 63372 3289 6 plot plot VBP 63372 3289 7 the the DT 63372 3289 8 world world NN 63372 3289 9 - - HYPH 63372 3289 10 line line NN 63372 3289 11 of of IN 63372 3289 12 the the DT 63372 3289 13 top top NN 63372 3289 14 of of IN 63372 3289 15 the the DT 63372 3289 16 mercury mercury NN 63372 3289 17 column column NN 63372 3289 18 and and CC 63372 3289 19 the the DT 63372 3289 20 world world NN 63372 3289 21 - - HYPH 63372 3289 22 line line NN 63372 3289 23 of of IN 63372 3289 24 a a DT 63372 3289 25 certain certain JJ 63372 3289 26 mark mark NN 63372 3289 27 on on IN 63372 3289 28 the the DT 63372 3289 29 glass glass NN 63372 3289 30 they -PRON- PRP 63372 3289 31 intersect intersect VBP 63372 3289 32 in in IN 63372 3289 33 a a DT 63372 3289 34 certain certain JJ 63372 3289 35 point point NN 63372 3289 36 of of IN 63372 3289 37 space space NN 63372 3289 38 - - HYPH 63372 3289 39 time time NN 63372 3289 40 . . . 63372 3290 1 All all DT 63372 3290 2 that that WDT 63372 3290 3 we -PRON- PRP 63372 3290 4 know know VBP 63372 3290 5 are be VBP 63372 3290 6 intersections intersection NNS 63372 3290 7 of of IN 63372 3290 8 these these DT 63372 3290 9 world world NN 63372 3290 10 - - HYPH 63372 3290 11 lines line NNS 63372 3290 12 . . . 63372 3291 1 Suppose suppose VB 63372 3291 2 now now RB 63372 3291 3 we -PRON- PRP 63372 3291 4 have have VBP 63372 3291 5 a a DT 63372 3291 6 large large JJ 63372 3291 7 number number NN 63372 3291 8 of of IN 63372 3291 9 them -PRON- PRP 63372 3291 10 drawn draw VBN 63372 3291 11 in in IN 63372 3291 12 our -PRON- PRP$ 63372 3291 13 four four CD 63372 3291 14 - - HYPH 63372 3291 15 dimensional dimensional JJ 63372 3291 16 world world NN 63372 3291 17 , , , 63372 3291 18 satisfying satisfy VBG 63372 3291 19 all all DT 63372 3291 20 known know VBN 63372 3291 21 intersections intersection NNS 63372 3291 22 , , , 63372 3291 23 and and CC 63372 3291 24 let let VB 63372 3291 25 us -PRON- PRP 63372 3291 26 suppose suppose VB 63372 3291 27 the the DT 63372 3291 28 whole whole NN 63372 3291 29 embedded embed VBN 63372 3291 30 in in IN 63372 3291 31 a a DT 63372 3291 32 jelly jelly NN 63372 3291 33 . . . 63372 3292 1 We -PRON- PRP 63372 3292 2 may may MD 63372 3292 3 distort distort VB 63372 3292 4 this this DT 63372 3292 5 jelly jelly NN 63372 3292 6 in in IN 63372 3292 7 any any DT 63372 3292 8 way way NN 63372 3292 9 , , , 63372 3292 10 changing change VBG 63372 3292 11 our -PRON- PRP$ 63372 3292 12 coordinates coordinate NNS 63372 3292 13 as as IN 63372 3292 14 we -PRON- PRP 63372 3292 15 please please VBP 63372 3292 16 , , , 63372 3292 17 but but CC 63372 3292 18 we -PRON- PRP 63372 3292 19 shall shall MD 63372 3292 20 neither neither CC 63372 3292 21 destroy destroy VB 63372 3292 22 nor nor CC 63372 3292 23 create create VB 63372 3292 24 intersections intersection NNS 63372 3292 25 of of IN 63372 3292 26 world world NN 63372 3292 27 - - HYPH 63372 3292 28 lines line NNS 63372 3292 29 . . . 63372 3293 1 It -PRON- PRP 63372 3293 2 may may MD 63372 3293 3 be be VB 63372 3293 4 proved prove VBN 63372 3293 5 that that IN 63372 3293 6 a a DT 63372 3293 7 change change NN 63372 3293 8 from from IN 63372 3293 9 one one CD 63372 3293 10 system system NN 63372 3293 11 of of IN 63372 3293 12 reference reference NN 63372 3293 13 , , , 63372 3293 14 to to IN 63372 3293 15 which which WDT 63372 3293 16 observations observation NNS 63372 3293 17 are be VBP 63372 3293 18 referred refer VBN 63372 3293 19 , , , 63372 3293 20 to to IN 63372 3293 21 any any DT 63372 3293 22 other other JJ 63372 3293 23 system system NN 63372 3293 24 , , , 63372 3293 25 moving move VBG 63372 3293 26 in in IN 63372 3293 27 any any DT 63372 3293 28 way way NN 63372 3293 29 with with IN 63372 3293 30 respect respect NN 63372 3293 31 to to IN 63372 3293 32 the the DT 63372 3293 33 first first JJ 63372 3293 34 system system NN 63372 3293 35 , , , 63372 3293 36 may may MD 63372 3293 37 be be VB 63372 3293 38 pictured picture VBN 63372 3293 39 as as IN 63372 3293 40 a a DT 63372 3293 41 distortion distortion NN 63372 3293 42 of of IN 63372 3293 43 the the DT 63372 3293 44 four four CD 63372 3293 45 - - HYPH 63372 3293 46 dimensional dimensional JJ 63372 3293 47 jelly jelly NN 63372 3293 48 . . . 63372 3294 1 The the DT 63372 3294 2 laws law NNS 63372 3294 3 of of IN 63372 3294 4 nature nature NN 63372 3294 5 , , , 63372 3294 6 therefore therefore RB 63372 3294 7 , , , 63372 3294 8 being be VBG 63372 3294 9 laws law NNS 63372 3294 10 that that WDT 63372 3294 11 describe describe VBP 63372 3294 12 intersections intersection NNS 63372 3294 13 , , , 63372 3294 14 must must MD 63372 3294 15 be be VB 63372 3294 16 expressible expressible JJ 63372 3294 17 in in IN 63372 3294 18 a a DT 63372 3294 19 form form NN 63372 3294 20 independent independent JJ 63372 3294 21 of of IN 63372 3294 22 the the DT 63372 3294 23 reference reference NN 63372 3294 24 system system NN 63372 3294 25 chosen choose VBN 63372 3294 26 . . . 63372 3295 1 From from IN 63372 3295 2 these these DT 63372 3295 3 postulates postulate NNS 63372 3295 4 , , , 63372 3295 5 Einstein Einstein NNP 63372 3295 6 was be VBD 63372 3295 7 able able JJ 63372 3295 8 to to TO 63372 3295 9 show show VB 63372 3295 10 such such PDT 63372 3295 11 a a DT 63372 3295 12 formulation formulation NN 63372 3295 13 possible possible JJ 63372 3295 14 . . . 63372 3296 1 His -PRON- PRP$ 63372 3296 2 law law NN 63372 3296 3 may may MD 63372 3296 4 be be VB 63372 3296 5 stated state VBN 63372 3296 6 very very RB 63372 3296 7 simply:--All simply:--all NN 63372 3296 8 bodies body NNS 63372 3296 9 move move VBP 63372 3296 10 through through IN 63372 3296 11 space space NN 63372 3296 12 - - HYPH 63372 3296 13 time time NN 63372 3296 14 in in IN 63372 3296 15 the the DT 63372 3296 16 straightest straight JJS 63372 3296 17 possible possible JJ 63372 3296 18 tracks track NNS 63372 3296 19 . . . 63372 3297 1 The the DT 63372 3297 2 fact fact NN 63372 3297 3 that that IN 63372 3297 4 an an DT 63372 3297 5 easy easy JJ 63372 3297 6 non non JJ 63372 3297 7 - - JJ 63372 3297 8 mathematical mathematical JJ 63372 3297 9 explanation explanation NN 63372 3297 10 can can MD 63372 3297 11 not not RB 63372 3297 12 be be VB 63372 3297 13 given give VBN 63372 3297 14 , , , 63372 3297 15 of of IN 63372 3297 16 how how WRB 63372 3297 17 this this DT 63372 3297 18 law law NN 63372 3297 19 is be VBZ 63372 3297 20 reached reach VBN 63372 3297 21 , , , 63372 3297 22 or or CC 63372 3297 23 of of IN 63372 3297 24 just just RB 63372 3297 25 why why WRB 63372 3297 26 the the DT 63372 3297 27 straightest straight JJS 63372 3297 28 track track NN 63372 3297 29 of of IN 63372 3297 30 Mercury Mercury NNP 63372 3297 31 through through IN 63372 3297 32 space space NN 63372 3297 33 - - HYPH 63372 3297 34 time time NN 63372 3297 35 will will MD 63372 3297 36 give give VB 63372 3297 37 us -PRON- PRP 63372 3297 38 an an DT 63372 3297 39 ellipse ellipse NN 63372 3297 40 in in IN 63372 3297 41 space space NN 63372 3297 42 after after IN 63372 3297 43 we -PRON- PRP 63372 3297 44 have have VBP 63372 3297 45 split split VBN 63372 3297 46 space space NN 63372 3297 47 - - HYPH 63372 3297 48 time time NN 63372 3297 49 up up RP 63372 3297 50 into into IN 63372 3297 51 space space NN 63372 3297 52 and and CC 63372 3297 53 time time NN 63372 3297 54 , , , 63372 3297 55 is be VBZ 63372 3297 56 no no DT 63372 3297 57 valid valid JJ 63372 3297 58 objection objection NN 63372 3297 59 to to IN 63372 3297 60 the the DT 63372 3297 61 theory theory NN 63372 3297 62 . . . 63372 3298 1 Newton Newton NNP 63372 3298 2 's 's POS 63372 3298 3 law law NN 63372 3298 4 that that WDT 63372 3298 5 bodies body NNS 63372 3298 6 attract attract VBP 63372 3298 7 with with IN 63372 3298 8 a a DT 63372 3298 9 force force NN 63372 3298 10 proportional proportional JJ 63372 3298 11 to to IN 63372 3298 12 their -PRON- PRP$ 63372 3298 13 masses masse NNS 63372 3298 14 and and CC 63372 3298 15 inversely inversely RB 63372 3298 16 proportional proportional JJ 63372 3298 17 to to IN 63372 3298 18 the the DT 63372 3298 19 square square NN 63372 3298 20 of of IN 63372 3298 21 the the DT 63372 3298 22 distance distance NN 63372 3298 23 is be VBZ 63372 3298 24 simple simple JJ 63372 3298 25 , , , 63372 3298 26 but but CC 63372 3298 27 no no DT 63372 3298 28 one one NN 63372 3298 29 has have VBZ 63372 3298 30 ever ever RB 63372 3298 31 given give VBN 63372 3298 32 an an DT 63372 3298 33 easy easy JJ 63372 3298 34 non non JJ 63372 3298 35 - - JJ 63372 3298 36 mathematical mathematical JJ 63372 3298 37 proof proof NN 63372 3298 38 of of IN 63372 3298 39 how how WRB 63372 3298 40 that that DT 63372 3298 41 law law NN 63372 3298 42 requires require VBZ 63372 3298 43 the the DT 63372 3298 44 path path NN 63372 3298 45 of of IN 63372 3298 46 Mercury Mercury NNP 63372 3298 47 to to TO 63372 3298 48 be be VB 63372 3298 49 an an DT 63372 3298 50 ellipse ellipse NN 63372 3298 51 , , , 63372 3298 52 with with IN 63372 3298 53 the the DT 63372 3298 54 sun sun NN 63372 3298 55 at at IN 63372 3298 56 a a DT 63372 3298 57 focus focus NN 63372 3298 58 , , , 63372 3298 59 instead instead RB 63372 3298 60 of of IN 63372 3298 61 some some DT 63372 3298 62 other other JJ 63372 3298 63 curve curve NN 63372 3298 64 . . . 63372 3299 1 ] ] -RRB- 63372 3299 2 182 182 CD 63372 3299 3 One one CD 63372 3299 4 of of IN 63372 3299 5 the the DT 63372 3299 6 grave grave JJ 63372 3299 7 difficulties difficulty NNS 63372 3299 8 we -PRON- PRP 63372 3299 9 have have VBP 63372 3299 10 in in IN 63372 3299 11 gaining gain VBG 63372 3299 12 a a DT 63372 3299 13 satisfactory satisfactory JJ 63372 3299 14 comprehension comprehension NN 63372 3299 15 of of IN 63372 3299 16 Einstein Einstein NNP 63372 3299 17 's 's POS 63372 3299 18 conceptions conception NNS 63372 3299 19 , , , 63372 3299 20 is be VBZ 63372 3299 21 that that IN 63372 3299 22 they -PRON- PRP 63372 3299 23 do do VBP 63372 3299 24 not not RB 63372 3299 25 readily readily RB 63372 3299 26 relate relate VB 63372 3299 27 themselves -PRON- PRP 63372 3299 28 to to IN 63372 3299 29 our -PRON- PRP$ 63372 3299 30 modes mode NNS 63372 3299 31 of of IN 63372 3299 32 geometrical geometrical JJ 63372 3299 33 thought thought NN 63372 3299 34 . . . 63372 3300 1 Within within IN 63372 3300 2 limits limit NNS 63372 3300 3 we -PRON- PRP 63372 3300 4 may may MD 63372 3300 5 choose choose VB 63372 3300 6 our -PRON- PRP$ 63372 3300 7 own own JJ 63372 3300 8 geometry geometry NN 63372 3300 9 , , , 63372 3300 10 but but CC 63372 3300 11 it -PRON- PRP 63372 3300 12 may may MD 63372 3300 13 be be VB 63372 3300 14 at at IN 63372 3300 15 the the DT 63372 3300 16 cost cost NN 63372 3300 17 of of IN 63372 3300 18 unwieldy unwieldy JJ 63372 3300 19 complication complication NN 63372 3300 20 . . . 63372 3301 1 If if IN 63372 3301 2 we -PRON- PRP 63372 3301 3 think think VBP 63372 3301 4 with with IN 63372 3301 5 Newton Newton NNP 63372 3301 6 in in IN 63372 3301 7 terms term NNS 63372 3301 8 of of IN 63372 3301 9 Euclidean euclidean JJ 63372 3301 10 geometry geometry NN 63372 3301 11 and and CC 63372 3301 12 consider consider VB 63372 3301 13 the the DT 63372 3301 14 earth earth NN 63372 3301 15 as as IN 63372 3301 16 revolving revolve VBG 63372 3301 17 around around IN 63372 3301 18 the the DT 63372 3301 19 sun sun NN 63372 3301 20 , , , 63372 3301 21 the the DT 63372 3301 22 motions motion NNS 63372 3301 23 of of IN 63372 3301 24 our -PRON- PRP$ 63372 3301 25 solar solar JJ 63372 3301 26 system system NN 63372 3301 27 can can MD 63372 3301 28 be be VB 63372 3301 29 stated state VBN 63372 3301 30 in in IN 63372 3301 31 comparatively comparatively RB 63372 3301 32 simple simple JJ 63372 3301 33 terms term NNS 63372 3301 34 . . . 63372 3302 1 If if IN 63372 3302 2 , , , 63372 3302 3 on on IN 63372 3302 4 the the DT 63372 3302 5 other other JJ 63372 3302 6 hand hand NN 63372 3302 7 , , , 63372 3302 8 we -PRON- PRP 63372 3302 9 should should MD 63372 3302 10 persist persist VB 63372 3302 11 in in IN 63372 3302 12 stating state VBG 63372 3302 13 them -PRON- PRP 63372 3302 14 , , , 63372 3302 15 as as IN 63372 3302 16 Ptolemy Ptolemy NNP 63372 3302 17 would would MD 63372 3302 18 have have VB 63372 3302 19 done do VBN 63372 3302 20 , , , 63372 3302 21 from from IN 63372 3302 22 the the DT 63372 3302 23 earth earth NN 63372 3302 24 as as IN 63372 3302 25 a a DT 63372 3302 26 relatively relatively RB 63372 3302 27 stationary stationary JJ 63372 3302 28 center center NN 63372 3302 29 , , , 63372 3302 30 our -PRON- PRP$ 63372 3302 31 formulas formula NNS 63372 3302 32 will will MD 63372 3302 33 become become VB 63372 3302 34 complicated complicated JJ 63372 3302 35 beyond beyond IN 63372 3302 36 ready ready JJ 63372 3302 37 comprehension comprehension NN 63372 3302 38 . . . 63372 3303 1 For for IN 63372 3303 2 this this DT 63372 3303 3 reason reason NN 63372 3303 4 it -PRON- PRP 63372 3303 5 is be VBZ 63372 3303 6 much much RB 63372 3303 7 simpler simple JJR 63372 3303 8 in in IN 63372 3303 9 applying apply VBG 63372 3303 10 the the DT 63372 3303 11 theory theory NN 63372 3303 12 of of IN 63372 3303 13 relativity relativity NN 63372 3303 14 , , , 63372 3303 15 and and CC 63372 3303 16 in in IN 63372 3303 17 considering consider VBG 63372 3303 18 and and CC 63372 3303 19 describing describe VBG 63372 3303 20 what what WP 63372 3303 21 actually actually RB 63372 3303 22 happens happen VBZ 63372 3303 23 in in IN 63372 3303 24 the the DT 63372 3303 25 physical physical JJ 63372 3303 26 universe universe NN 63372 3303 27 , , , 63372 3303 28 to to TO 63372 3303 29 use use VB 63372 3303 30 geometrical geometrical JJ 63372 3303 31 conceptions conception NNS 63372 3303 32 to to TO 63372 3303 33 which which WDT 63372 3303 34 the the DT 63372 3303 35 actual actual JJ 63372 3303 36 conditions condition NNS 63372 3303 37 can can MD 63372 3303 38 be be VB 63372 3303 39 easily easily RB 63372 3303 40 related relate VBN 63372 3303 41 . . . 63372 3304 1 We -PRON- PRP 63372 3304 2 find find VBP 63372 3304 3 such such PDT 63372 3304 4 an an DT 63372 3304 5 instrument instrument NN 63372 3304 6 in in IN 63372 3304 7 non non JJ 63372 3304 8 - - JJ 63372 3304 9 Euclidean euclidean JJ 63372 3304 10 geometry geometry NN 63372 3304 11 , , , 63372 3304 12 wherein wherein WRB 63372 3304 13 space space NN 63372 3304 14 will will MD 63372 3304 15 appear appear VB 63372 3304 16 as as IN 63372 3304 17 though though IN 63372 3304 18 it -PRON- PRP 63372 3304 19 were be VBD 63372 3304 20 projected project VBN 63372 3304 21 from from IN 63372 3304 22 a a DT 63372 3304 23 slightly slightly RB 63372 3304 24 concave concave JJ 63372 3304 25 mirror mirror NN 63372 3304 26 . . . 63372 3305 1 It -PRON- PRP 63372 3305 2 is be VBZ 63372 3305 3 in in IN 63372 3305 4 this this DT 63372 3305 5 sense sense NN 63372 3305 6 that that IN 63372 3305 7 some some DT 63372 3305 8 speak speak NN 63372 3305 9 of of IN 63372 3305 10 space space NN 63372 3305 11 as as IN 63372 3305 12 curved curve VBN 63372 3305 13 . . . 63372 3306 1 The the DT 63372 3306 2 analogy analogy NN 63372 3306 3 is be VBZ 63372 3306 4 so so RB 63372 3306 5 suggestive suggestive JJ 63372 3306 6 it -PRON- PRP 63372 3306 7 tempts tempt VBZ 63372 3306 8 one one PRP 63372 3306 9 to to TO 63372 3306 10 linger linger VB 63372 3306 11 over over IN 63372 3306 12 it -PRON- PRP 63372 3306 13 . . . 63372 3307 1 Unless unless IN 63372 3307 2 there there EX 63372 3307 3 were be VBD 63372 3307 4 material material JJ 63372 3307 5 objects object NNS 63372 3307 6 within within IN 63372 3307 7 the the DT 63372 3307 8 range range NN 63372 3307 9 of of IN 63372 3307 10 the the DT 63372 3307 11 mirror mirror NN 63372 3307 12 , , , 63372 3307 13 its -PRON- PRP$ 63372 3307 14 conformation conformation NN 63372 3307 15 would would MD 63372 3307 16 be be VB 63372 3307 17 immaterial immaterial JJ 63372 3307 18 ; ; : 63372 3307 19 the the DT 63372 3307 20 thought thought NN 63372 3307 21 of of IN 63372 3307 22 the the DT 63372 3307 23 space space NN 63372 3307 24 which which WDT 63372 3307 25 the the DT 63372 3307 26 mirror mirror NN 63372 3307 27 , , , 63372 3307 28 as as IN 63372 3307 29 it -PRON- PRP 63372 3307 30 were be VBD 63372 3307 31 , , , 63372 3307 32 circumscribes circumscribe NNS 63372 3307 33 , , , 63372 3307 34 is be VBZ 63372 3307 35 dependent dependent JJ 63372 3307 36 upon upon IN 63372 3307 37 the the DT 63372 3307 38 presence presence NN 63372 3307 39 of of IN 63372 3307 40 such such JJ 63372 3307 41 material material NN 63372 3307 42 objects object NNS 63372 3307 43 . . . 63372 3308 1 The the DT 63372 3308 2 lines line NNS 63372 3308 3 of of IN 63372 3308 4 light light NN 63372 3308 5 and and CC 63372 3308 6 of of IN 63372 3308 7 all all DT 63372 3308 8 other other JJ 63372 3308 9 movement movement NN 63372 3308 10 will will MD 63372 3308 11 not not RB 63372 3308 12 be be VB 63372 3308 13 quite quite RB 63372 3308 14 " " `` 63372 3308 15 straight straight JJ 63372 3308 16 " " '' 63372 3308 17 from from IN 63372 3308 18 the the DT 63372 3308 19 view view NN 63372 3308 20 - - HYPH 63372 3308 21 point point NN 63372 3308 22 of of IN 63372 3308 23 Euclidean euclidean JJ 63372 3308 24 geometry geometry NN 63372 3308 25 . . . 63372 3309 1 A a DT 63372 3309 2 line line NN 63372 3309 3 drawn draw VBN 63372 3309 4 in in IN 63372 3309 5 a a DT 63372 3309 6 universe universe NN 63372 3309 7 of of IN 63372 3309 8 such such PDT 63372 3309 9 a a DT 63372 3309 10 nature nature NN 63372 3309 11 must must MD 63372 3309 12 inevitably inevitably RB 63372 3309 13 return return VB 63372 3309 14 upon upon IN 63372 3309 15 itself -PRON- PRP 63372 3309 16 . . . 63372 3310 1 Nothing nothing NN 63372 3310 2 therefore therefore RB 63372 3310 3 , , , 63372 3310 4 can can MD 63372 3310 5 ever ever RB 63372 3310 6 pass pass VB 63372 3310 7 out out IN 63372 3310 8 of of IN 63372 3310 9 this this DT 63372 3310 10 unlimitedly unlimitedly RB 63372 3310 11 great great JJ 63372 3310 12 but but CC 63372 3310 13 yet yet CC 63372 3310 14 finite finite JJ 63372 3310 15 cosmos cosmo NNS 63372 3310 16 . . . 63372 3311 1 But but CC 63372 3311 2 even even RB 63372 3311 3 now now RB 63372 3311 4 , , , 63372 3311 5 since since IN 63372 3311 6 our -PRON- PRP$ 63372 3311 7 imaginary imaginary JJ 63372 3311 8 mirror mirror NN 63372 3311 9 is be VBZ 63372 3311 10 only only RB 63372 3311 11 very very RB 63372 3311 12 slightly slightly RB 63372 3311 13 concave concave JJ 63372 3311 14 , , , 63372 3311 15 it -PRON- PRP 63372 3311 16 follows follow VBZ 63372 3311 17 that that IN 63372 3311 18 for for IN 63372 3311 19 limited limited JJ 63372 3311 20 regions region NNS 63372 3311 21 like like IN 63372 3311 22 the the DT 63372 3311 23 earth earth NN 63372 3311 24 or or CC 63372 3311 25 even even RB 63372 3311 26 the the DT 63372 3311 27 solar solar JJ 63372 3311 28 system system NN 63372 3311 29 , , , 63372 3311 30 our -PRON- PRP$ 63372 3311 31 conception conception NN 63372 3311 32 of of IN 63372 3311 33 geometry geometry NN 63372 3311 34 may may MD 63372 3311 35 well well RB 63372 3311 36 be be VB 63372 3311 37 rectilinear rectilinear JJ 63372 3311 38 and and CC 63372 3311 39 Euclidean euclidean JJ 63372 3311 40 . . . 63372 3312 1 Newton Newton NNP 63372 3312 2 's 's POS 63372 3312 3 law law NN 63372 3312 4 of of IN 63372 3312 5 gravitation gravitation NN 63372 3312 6 will will MD 63372 3312 7 be be VB 63372 3312 8 quite quite RB 63372 3312 9 accurate accurate JJ 63372 3312 10 with with IN 63372 3312 11 only only RB 63372 3312 12 a a DT 63372 3312 13 theoretical theoretical JJ 63372 3312 14 modification modification NN 63372 3312 15 drawn draw VBN 63372 3312 16 from from IN 63372 3312 17 the the DT 63372 3312 18 theory theory NN 63372 3312 19 of of IN 63372 3312 20 relativity relativity NN 63372 3312 21 . . . 63372 3313 1 ] ] -RRB- 63372 3313 2 82 82 CD 63372 3313 3 The the DT 63372 3313 4 way way NN 63372 3313 5 in in IN 63372 3313 6 which which WDT 63372 3313 7 a a DT 63372 3313 8 curvature curvature NN 63372 3313 9 of of IN 63372 3313 10 space space NN 63372 3313 11 might may MD 63372 3313 12 appear appear VB 63372 3313 13 to to IN 63372 3313 14 us -PRON- PRP 63372 3313 15 as as IN 63372 3313 16 a a DT 63372 3313 17 force force NN 63372 3313 18 is be VBZ 63372 3313 19 made make VBN 63372 3313 20 plainer plainer NN 63372 3313 21 by by IN 63372 3313 22 an an DT 63372 3313 23 example example NN 63372 3313 24 . . . 63372 3314 1 Suppose suppose VB 63372 3314 2 that that IN 63372 3314 3 in in IN 63372 3314 4 a a DT 63372 3314 5 certain certain JJ 63372 3314 6 room room NN 63372 3314 7 a a DT 63372 3314 8 marble marble NN 63372 3314 9 dropped drop VBD 63372 3314 10 anywhere anywhere RB 63372 3314 11 on on IN 63372 3314 12 the the DT 63372 3314 13 floor floor NN 63372 3314 14 always always RB 63372 3314 15 rolled roll VBD 63372 3314 16 to to IN 63372 3314 17 the the DT 63372 3314 18 center center NN 63372 3314 19 of of IN 63372 3314 20 the the DT 63372 3314 21 room room NN 63372 3314 22 ; ; : 63372 3314 23 suppose suppose VB 63372 3314 24 the the DT 63372 3314 25 same same JJ 63372 3314 26 thing thing NN 63372 3314 27 happened happen VBD 63372 3314 28 to to IN 63372 3314 29 a a DT 63372 3314 30 baseball baseball NN 63372 3314 31 , , , 63372 3314 32 a a DT 63372 3314 33 billiard billiard NN 63372 3314 34 ball ball NN 63372 3314 35 , , , 63372 3314 36 and and CC 63372 3314 37 a a DT 63372 3314 38 tennis tennis NN 63372 3314 39 ball ball NN 63372 3314 40 . . . 63372 3315 1 These these DT 63372 3315 2 results result NNS 63372 3315 3 could could MD 63372 3315 4 be be VB 63372 3315 5 explained explain VBN 63372 3315 6 in in IN 63372 3315 7 two two CD 63372 3315 8 ways way NNS 63372 3315 9 ; ; : 63372 3315 10 we -PRON- PRP 63372 3315 11 might may MD 63372 3315 12 assume assume VB 63372 3315 13 that that IN 63372 3315 14 a a DT 63372 3315 15 mysterious mysterious JJ 63372 3315 16 force force NN 63372 3315 17 of of IN 63372 3315 18 attraction attraction NN 63372 3315 19 existed exist VBD 63372 3315 20 at at IN 63372 3315 21 the the DT 63372 3315 22 center center NN 63372 3315 23 of of IN 63372 3315 24 the the DT 63372 3315 25 floor floor NN 63372 3315 26 , , , 63372 3315 27 which which WDT 63372 3315 28 affected affect VBD 63372 3315 29 all all DT 63372 3315 30 kinds kind NNS 63372 3315 31 of of IN 63372 3315 32 balls ball NNS 63372 3315 33 alike alike RB 63372 3315 34 ; ; : 63372 3315 35 or or CC 63372 3315 36 we -PRON- PRP 63372 3315 37 might may MD 63372 3315 38 assume assume VB 63372 3315 39 that that IN 63372 3315 40 the the DT 63372 3315 41 floor floor NN 63372 3315 42 was be VBD 63372 3315 43 curved curve VBN 63372 3315 44 . . . 63372 3316 1 We -PRON- PRP 63372 3316 2 naturally naturally RB 63372 3316 3 prefer prefer VBP 63372 3316 4 the the DT 63372 3316 5 latter latter JJ 63372 3316 6 explanation explanation NN 63372 3316 7 . . . 63372 3317 1 But but CC 63372 3317 2 when when WRB 63372 3317 3 we -PRON- PRP 63372 3317 4 find find VBP 63372 3317 5 that that IN 63372 3317 6 in in IN 63372 3317 7 the the DT 63372 3317 8 neighborhood neighborhood NN 63372 3317 9 of of IN 63372 3317 10 a a DT 63372 3317 11 large large JJ 63372 3317 12 material material NN 63372 3317 13 body body NN 63372 3317 14 all all DT 63372 3317 15 other other JJ 63372 3317 16 bodies body NNS 63372 3317 17 move move VBP 63372 3317 18 toward toward IN 63372 3317 19 it -PRON- PRP 63372 3317 20 in in IN 63372 3317 21 exactly exactly RB 63372 3317 22 the the DT 63372 3317 23 same same JJ 63372 3317 24 manner manner NN 63372 3317 25 , , , 63372 3317 26 regardless regardless RB 63372 3317 27 of of IN 63372 3317 28 their -PRON- PRP$ 63372 3317 29 nature nature NN 63372 3317 30 or or CC 63372 3317 31 their -PRON- PRP$ 63372 3317 32 condition condition NN 63372 3317 33 , , , 63372 3317 34 we -PRON- PRP 63372 3317 35 are be VBP 63372 3317 36 accustomed accustomed JJ 63372 3317 37 to to TO 63372 3317 38 postulate postulate VB 63372 3317 39 a a DT 63372 3317 40 mysterious mysterious JJ 63372 3317 41 attractive attractive JJ 63372 3317 42 force force NN 63372 3317 43 ( ( -LRB- 63372 3317 44 gravitation gravitation NN 63372 3317 45 ) ) -RRB- 63372 3317 46 ; ; : 63372 3317 47 Einstein Einstein NNP 63372 3317 48 , , , 63372 3317 49 on on IN 63372 3317 50 the the DT 63372 3317 51 contrary contrary NN 63372 3317 52 , , , 63372 3317 53 adopts adopt VBZ 63372 3317 54 the the DT 63372 3317 55 other other JJ 63372 3317 56 alternative alternative NN 63372 3317 57 , , , 63372 3317 58 that that IN 63372 3317 59 the the DT 63372 3317 60 space space NN 63372 3317 61 around around IN 63372 3317 62 the the DT 63372 3317 63 body body NN 63372 3317 64 is be VBZ 63372 3317 65 curved curved JJ 63372 3317 66 . . . 63372 3318 1 ] ] -RRB- 63372 3318 2 223 223 CD 63372 3318 3 In in IN 63372 3318 4 the the DT 63372 3318 5 ordinary ordinary JJ 63372 3318 6 " " `` 63372 3318 7 analytical analytical JJ 63372 3318 8 geometry geometry NN 63372 3318 9 , , , 63372 3318 10 " " '' 63372 3318 11 the the DT 63372 3318 12 position position NN 63372 3318 13 and and CC 63372 3318 14 motion motion NN 63372 3318 15 of of IN 63372 3318 16 all all PDT 63372 3318 17 the the DT 63372 3318 18 points point NNS 63372 3318 19 considered consider VBN 63372 3318 20 is be VBZ 63372 3318 21 referred refer VBN 63372 3318 22 to to IN 63372 3318 23 a a DT 63372 3318 24 rigid rigid JJ 63372 3318 25 " " `` 63372 3318 26 body body NN 63372 3318 27 " " '' 63372 3318 28 or or CC 63372 3318 29 " " `` 63372 3318 30 frame frame NN 63372 3318 31 of of IN 63372 3318 32 reference reference NN 63372 3318 33 . . . 63372 3318 34 " " '' 63372 3319 1 This this DT 63372 3319 2 usually usually RB 63372 3319 3 consists consist VBZ 63372 3319 4 of of IN 63372 3319 5 an an DT 63372 3319 6 imaginary imaginary JJ 63372 3319 7 room room NN 63372 3319 8 of of IN 63372 3319 9 suitable suitable JJ 63372 3319 10 size size NN 63372 3319 11 . . . 63372 3320 1 The the DT 63372 3320 2 position position NN 63372 3320 3 of of IN 63372 3320 4 any any DT 63372 3320 5 point point NN 63372 3320 6 is be VBZ 63372 3320 7 then then RB 63372 3320 8 given give VBN 63372 3320 9 by by IN 63372 3320 10 three three CD 63372 3320 11 numbers number NNS 63372 3320 12 , , , 63372 3320 13 i.e. i.e. FW 63372 3320 14 , , , 63372 3320 15 its -PRON- PRP$ 63372 3320 16 distances distance NNS 63372 3320 17 from from IN 63372 3320 18 one one CD 63372 3320 19 side side NN 63372 3320 20 wall wall NN 63372 3320 21 and and CC 63372 3320 22 from from IN 63372 3320 23 the the DT 63372 3320 24 back back JJ 63372 3320 25 wall wall NN 63372 3320 26 and and CC 63372 3320 27 its -PRON- PRP$ 63372 3320 28 height height NN 63372 3320 29 above above IN 63372 3320 30 the the DT 63372 3320 31 floor floor NN 63372 3320 32 . . . 63372 3321 1 These these DT 63372 3321 2 three three CD 63372 3321 3 numbers number NNS 63372 3321 4 can can MD 63372 3321 5 only only RB 63372 3321 6 give give VB 63372 3321 7 one one CD 63372 3321 8 point point NN 63372 3321 9 , , , 63372 3321 10 every every DT 63372 3321 11 other other JJ 63372 3321 12 point point NN 63372 3321 13 having have VBG 63372 3321 14 at at RB 63372 3321 15 least least RBS 63372 3321 16 one one CD 63372 3321 17 number number NN 63372 3321 18 different different JJ 63372 3321 19 . . . 63372 3322 1 In in IN 63372 3322 2 four four CD 63372 3322 3 - - HYPH 63372 3322 4 dimensional dimensional JJ 63372 3322 5 geometry geometry NN 63372 3322 6 a a DT 63372 3322 7 fourth fourth JJ 63372 3322 8 wall wall NN 63372 3322 9 may may MD 63372 3322 10 be be VB 63372 3322 11 vaguely vaguely RB 63372 3322 12 imagined imagine VBN 63372 3322 13 as as IN 63372 3322 14 perpendicular perpendicular JJ 63372 3322 15 to to IN 63372 3322 16 all all DT 63372 3322 17 three three CD 63372 3322 18 walls wall NNS 63372 3322 19 , , , 63372 3322 20 and and CC 63372 3322 21 a a DT 63372 3322 22 fourth fourth JJ 63372 3322 23 number number NN 63372 3322 24 added add VBN 63372 3322 25 , , , 63372 3322 26 giving give VBG 63372 3322 27 the the DT 63372 3322 28 distance distance NN 63372 3322 29 of of IN 63372 3322 30 the the DT 63372 3322 31 " " `` 63372 3322 32 point point NN 63372 3322 33 " " '' 63372 3322 34 from from IN 63372 3322 35 this this DT 63372 3322 36 wall wall NN 63372 3322 37 also also RB 63372 3322 38 . . . 63372 3323 1 Since since IN 63372 3323 2 " " `` 63372 3323 3 rigid rigid JJ 63372 3323 4 " " '' 63372 3323 5 bodies body NNS 63372 3323 6 do do VBP 63372 3323 7 not not RB 63372 3323 8 exist exist VB 63372 3323 9 in in IN 63372 3323 10 gravitational gravitational JJ 63372 3323 11 fields field NNS 63372 3323 12 the the DT 63372 3323 13 " " `` 63372 3323 14 frame frame NN 63372 3323 15 of of IN 63372 3323 16 reference reference NN 63372 3323 17 " " '' 63372 3323 18 must must MD 63372 3323 19 be be VB 63372 3323 20 " " `` 63372 3323 21 non non JJ 63372 3323 22 - - JJ 63372 3323 23 rigid rigid JJ 63372 3323 24 . . . 63372 3323 25 " " '' 63372 3324 1 The the DT 63372 3324 2 frame frame NN 63372 3324 3 of of IN 63372 3324 4 reference reference NN 63372 3324 5 in in IN 63372 3324 6 the the DT 63372 3324 7 Gaussian gaussian JJ 63372 3324 8 system system NN 63372 3324 9 need nee MD 63372 3324 10 not not RB 63372 3324 11 be be VB 63372 3324 12 rigid rigid JJ 63372 3324 13 , , , 63372 3324 14 it -PRON- PRP 63372 3324 15 can can MD 63372 3324 16 be be VB 63372 3324 17 of of IN 63372 3324 18 any any DT 63372 3324 19 shape shape NN 63372 3324 20 and and CC 63372 3324 21 moving move VBG 63372 3324 22 in in IN 63372 3324 23 any any DT 63372 3324 24 manner manner NN 63372 3324 25 , , , 63372 3324 26 in in IN 63372 3324 27 fact fact NN 63372 3324 28 a a DT 63372 3324 29 kind kind NN 63372 3324 30 of of IN 63372 3324 31 jelly jelly NN 63372 3324 32 . . . 63372 3325 1 A a DT 63372 3325 2 " " `` 63372 3325 3 point point NN 63372 3325 4 " " '' 63372 3325 5 or or CC 63372 3325 6 " " `` 63372 3325 7 event event NN 63372 3325 8 " " '' 63372 3325 9 in in IN 63372 3325 10 the the DT 63372 3325 11 four four CD 63372 3325 12 dimensioned dimension VBN 63372 3325 13 world world NN 63372 3325 14 is be VBZ 63372 3325 15 still still RB 63372 3325 16 given give VBN 63372 3325 17 by by IN 63372 3325 18 four four CD 63372 3325 19 numbers number NNS 63372 3325 20 but but CC 63372 3325 21 these these DT 63372 3325 22 numbers number NNS 63372 3325 23 do do VBP 63372 3325 24 not not RB 63372 3325 25 represent represent VB 63372 3325 26 distances distance NNS 63372 3325 27 from from IN 63372 3325 28 anywhere anywhere RB 63372 3325 29 ; ; : 63372 3325 30 all all DT 63372 3325 31 that that WDT 63372 3325 32 is be VBZ 63372 3325 33 necessary necessary JJ 63372 3325 34 is be VBZ 63372 3325 35 that that IN 63372 3325 36 no no DT 63372 3325 37 two two CD 63372 3325 38 events event NNS 63372 3325 39 shall shall MD 63372 3325 40 have have VB 63372 3325 41 exactly exactly RB 63372 3325 42 the the DT 63372 3325 43 same same JJ 63372 3325 44 four four CD 63372 3325 45 numbers number NNS 63372 3325 46 to to TO 63372 3325 47 represent represent VB 63372 3325 48 them -PRON- PRP 63372 3325 49 , , , 63372 3325 50 and and CC 63372 3325 51 that that IN 63372 3325 52 two two CD 63372 3325 53 events event NNS 63372 3325 54 which which WDT 63372 3325 55 are be VBP 63372 3325 56 very very RB 63372 3325 57 close close JJ 63372 3325 58 together together RB 63372 3325 59 shall shall MD 63372 3325 60 be be VB 63372 3325 61 represented represent VBN 63372 3325 62 by by IN 63372 3325 63 numbers number NNS 63372 3325 64 which which WDT 63372 3325 65 differ differ VBP 63372 3325 66 only only RB 63372 3325 67 slightly slightly RB 63372 3325 68 from from IN 63372 3325 69 one one CD 63372 3325 70 another another DT 63372 3325 71 . . . 63372 3326 1 This this DT 63372 3326 2 system system NN 63372 3326 3 assumes assume VBZ 63372 3326 4 so so RB 63372 3326 5 little little JJ 63372 3326 6 that that IN 63372 3326 7 it -PRON- PRP 63372 3326 8 will will MD 63372 3326 9 be be VB 63372 3326 10 seen see VBN 63372 3326 11 to to TO 63372 3326 12 be be VB 63372 3326 13 very very RB 63372 3326 14 wide wide JJ 63372 3326 15 in in IN 63372 3326 16 its -PRON- PRP$ 63372 3326 17 scope scope NN 63372 3326 18 ; ; : 63372 3326 19 although although IN 63372 3326 20 to to IN 63372 3326 21 the the DT 63372 3326 22 ordinary ordinary JJ 63372 3326 23 mind mind NN 63372 3326 24 , , , 63372 3326 25 what what WP 63372 3326 26 is be VBZ 63372 3326 27 gained gain VBN 63372 3326 28 in in IN 63372 3326 29 scope scope NN 63372 3326 30 seems seem VBZ 63372 3326 31 more more JJR 63372 3326 32 than than IN 63372 3326 33 that that DT 63372 3326 34 lost lose VBN 63372 3326 35 in in IN 63372 3326 36 concreteness concreteness NN 63372 3326 37 . . . 63372 3327 1 This this DT 63372 3327 2 does do VBZ 63372 3327 3 not not RB 63372 3327 4 concern concern VB 63372 3327 5 the the DT 63372 3327 6 mathematician mathematician NN 63372 3327 7 , , , 63372 3327 8 however however RB 63372 3327 9 , , , 63372 3327 10 and and CC 63372 3327 11 by by IN 63372 3327 12 using use VBG 63372 3327 13 this this DT 63372 3327 14 system system NN 63372 3327 15 he -PRON- PRP 63372 3327 16 gains gain VBZ 63372 3327 17 his -PRON- PRP$ 63372 3327 18 object object NN 63372 3327 19 , , , 63372 3327 20 proving prove VBG 63372 3327 21 that that IN 63372 3327 22 the the DT 63372 3327 23 general general JJ 63372 3327 24 laws law NNS 63372 3327 25 of of IN 63372 3327 26 nature nature NN 63372 3327 27 remain remain VBP 63372 3327 28 the the DT 63372 3327 29 same same JJ 63372 3327 30 when when WRB 63372 3327 31 expressed express VBN 63372 3327 32 in in IN 63372 3327 33 any any DT 63372 3327 34 Gaussian gaussian JJ 63372 3327 35 coordinate coordinate NN 63372 3327 36 system system NN 63372 3327 37 whatever whatever WDT 63372 3327 38 . . . 63372 3328 1 ] ] -RRB- 63372 3328 2 220 220 CD 63372 3328 3 Einstein Einstein NNP 63372 3328 4 enunciates enunciate VBZ 63372 3328 5 a a DT 63372 3328 6 general general JJ 63372 3328 7 principle principle NN 63372 3328 8 that that IN 63372 3328 9 it -PRON- PRP 63372 3328 10 is be VBZ 63372 3328 11 possible possible JJ 63372 3328 12 to to TO 63372 3328 13 find find VB 63372 3328 14 a a DT 63372 3328 15 transformation transformation NN 63372 3328 16 of of IN 63372 3328 17 coordinate coordinate JJ 63372 3328 18 axes axis NNS 63372 3328 19 which which WDT 63372 3328 20 is be VBZ 63372 3328 21 exactly exactly RB 63372 3328 22 equivalent equivalent JJ 63372 3328 23 to to IN 63372 3328 24 any any DT 63372 3328 25 force force NN 63372 3328 26 , , , 63372 3328 27 and and CC 63372 3328 28 in in IN 63372 3328 29 particular particular JJ 63372 3328 30 one one CD 63372 3328 31 which which WDT 63372 3328 32 is be VBZ 63372 3328 33 equivalent equivalent JJ 63372 3328 34 to to IN 63372 3328 35 the the DT 63372 3328 36 force force NN 63372 3328 37 of of IN 63372 3328 38 gravitation gravitation NN 63372 3328 39 . . . 63372 3329 1 That that DT 63372 3329 2 is be VBZ 63372 3329 3 by by IN 63372 3329 4 concentrating concentrate VBG 63372 3329 5 our -PRON- PRP$ 63372 3329 6 attention attention NN 63372 3329 7 on on IN 63372 3329 8 the the DT 63372 3329 9 transformation transformation NN 63372 3329 10 which which WDT 63372 3329 11 is be VBZ 63372 3329 12 a a DT 63372 3329 13 purely purely RB 63372 3329 14 mathematical mathematical JJ 63372 3329 15 operation operation NN 63372 3329 16 we -PRON- PRP 63372 3329 17 can can MD 63372 3329 18 afford afford VB 63372 3329 19 to to TO 63372 3329 20 neglect neglect VB 63372 3329 21 the the DT 63372 3329 22 force force NN 63372 3329 23 completely completely RB 63372 3329 24 . . . 63372 3330 1 To to TO 63372 3330 2 get get VB 63372 3330 3 a a DT 63372 3330 4 better well JJR 63372 3330 5 idea idea NN 63372 3330 6 of of IN 63372 3330 7 this this DT 63372 3330 8 principle principle NN 63372 3330 9 of of IN 63372 3330 10 equivalence equivalence NN 63372 3330 11 as as IN 63372 3330 12 it -PRON- PRP 63372 3330 13 is be VBZ 63372 3330 14 called call VBN 63372 3330 15 , , , 63372 3330 16 let let VB 63372 3330 17 us -PRON- PRP 63372 3330 18 consider consider VB 63372 3330 19 a a DT 63372 3330 20 relatively relatively RB 63372 3330 21 simple simple JJ 63372 3330 22 example example NN 63372 3330 23 ( ( -LRB- 63372 3330 24 which which WDT 63372 3330 25 actually actually RB 63372 3330 26 has have VBZ 63372 3330 27 nothing nothing NN 63372 3330 28 to to TO 63372 3330 29 do do VB 63372 3330 30 with with IN 63372 3330 31 gravitation gravitation NN 63372 3330 32 , , , 63372 3330 33 but but CC 63372 3330 34 which which WDT 63372 3330 35 will will MD 63372 3330 36 serve serve VB 63372 3330 37 to to TO 63372 3330 38 make make VB 63372 3330 39 our -PRON- PRP$ 63372 3330 40 notions notion NNS 63372 3330 41 clearer clear JJR 63372 3330 42 . . . 63372 3330 43 ) ) -RRB- 63372 3331 1 A a DT 63372 3331 2 person person NN 63372 3331 3 on on IN 63372 3331 4 the the DT 63372 3331 5 earth earth NN 63372 3331 6 unconsciously unconsciously RB 63372 3331 7 refers refer VBZ 63372 3331 8 all all PDT 63372 3331 9 his -PRON- PRP$ 63372 3331 10 experiences experience NNS 63372 3331 11 , , , 63372 3331 12 i.e. i.e. FW 63372 3331 13 , , , 63372 3331 14 the the DT 63372 3331 15 motions motion NNS 63372 3331 16 of of IN 63372 3331 17 the the DT 63372 3331 18 objects object NNS 63372 3331 19 around around IN 63372 3331 20 him -PRON- PRP 63372 3331 21 to to IN 63372 3331 22 a a DT 63372 3331 23 set set NN 63372 3331 24 of of IN 63372 3331 25 axes axis NNS 63372 3331 26 fixed fix VBN 63372 3331 27 in in IN 63372 3331 28 the the DT 63372 3331 29 earth earth NN 63372 3331 30 on on IN 63372 3331 31 which which WDT 63372 3331 32 he -PRON- PRP 63372 3331 33 stands stand VBZ 63372 3331 34 . . . 63372 3332 1 However however RB 63372 3332 2 , , , 63372 3332 3 we -PRON- PRP 63372 3332 4 know know VBP 63372 3332 5 that that IN 63372 3332 6 the the DT 63372 3332 7 earth earth NN 63372 3332 8 is be VBZ 63372 3332 9 rotating rotate VBG 63372 3332 10 about about IN 63372 3332 11 its -PRON- PRP$ 63372 3332 12 axis axis NN 63372 3332 13 , , , 63372 3332 14 and and CC 63372 3332 15 his -PRON- PRP$ 63372 3332 16 axes axis NNS 63372 3332 17 of of IN 63372 3332 18 reference reference NN 63372 3332 19 are be VBP 63372 3332 20 also also RB 63372 3332 21 rotating rotate VBG 63372 3332 22 with with IN 63372 3332 23 respect respect NN 63372 3332 24 to to IN 63372 3332 25 the the DT 63372 3332 26 space space NN 63372 3332 27 about about IN 63372 3332 28 him -PRON- PRP 63372 3332 29 . . . 63372 3333 1 From from IN 63372 3333 2 the the DT 63372 3333 3 point point NN 63372 3333 4 of of IN 63372 3333 5 view view NN 63372 3333 6 of of IN 63372 3333 7 general general JJ 63372 3333 8 relativity relativity NN 63372 3333 9 it -PRON- PRP 63372 3333 10 is be VBZ 63372 3333 11 exactly exactly RB 63372 3333 12 because because IN 63372 3333 13 we -PRON- PRP 63372 3333 14 do do VBP 63372 3333 15 refer refer VB 63372 3333 16 motions motion NNS 63372 3333 17 on on IN 63372 3333 18 the the DT 63372 3333 19 surface surface NN 63372 3333 20 of of IN 63372 3333 21 the the DT 63372 3333 22 earth earth NN 63372 3333 23 to to IN 63372 3333 24 axes axis NNS 63372 3333 25 rotating rotate VBG 63372 3333 26 with with IN 63372 3333 27 the the DT 63372 3333 28 earth earth NN 63372 3333 29 that that WDT 63372 3333 30 we -PRON- PRP 63372 3333 31 experience experience VBP 63372 3333 32 the the DT 63372 3333 33 so so RB 63372 3333 34 - - HYPH 63372 3333 35 called call VBN 63372 3333 36 centrifugal centrifugal JJ 63372 3333 37 force force NN 63372 3333 38 of of IN 63372 3333 39 the the DT 63372 3333 40 earth earth NN 63372 3333 41 's 's POS 63372 3333 42 rotation rotation NN 63372 3333 43 , , , 63372 3333 44 with with IN 63372 3333 45 which which WDT 63372 3333 46 everyone everyone NN 63372 3333 47 is be VBZ 63372 3333 48 familiar familiar JJ 63372 3333 49 . . . 63372 3334 1 If if IN 63372 3334 2 we -PRON- PRP 63372 3334 3 could could MD 63372 3334 4 find find VB 63372 3334 5 it -PRON- PRP 63372 3334 6 convenient convenient JJ 63372 3334 7 to to TO 63372 3334 8 transform transform VB 63372 3334 9 from from IN 63372 3334 10 moving move VBG 63372 3334 11 axes axis NNS 63372 3334 12 to to IN 63372 3334 13 fixed fix VBN 63372 3334 14 axes axis NNS 63372 3334 15 , , , 63372 3334 16 the the DT 63372 3334 17 force force NN 63372 3334 18 would would MD 63372 3334 19 vanish vanish VB 63372 3334 20 , , , 63372 3334 21 since since IN 63372 3334 22 it -PRON- PRP 63372 3334 23 is be VBZ 63372 3334 24 exactly exactly RB 63372 3334 25 equivalent equivalent JJ 63372 3334 26 to to IN 63372 3334 27 the the DT 63372 3334 28 transformation transformation NN 63372 3334 29 from from IN 63372 3334 30 one one CD 63372 3334 31 set set NN 63372 3334 32 of of IN 63372 3334 33 axes axis NNS 63372 3334 34 to to IN 63372 3334 35 the the DT 63372 3334 36 other other JJ 63372 3334 37 . . . 63372 3335 1 However however RB 63372 3335 2 , , , 63372 3335 3 we -PRON- PRP 63372 3335 4 find find VBP 63372 3335 5 it -PRON- PRP 63372 3335 6 unnatural unnatural JJ 63372 3335 7 to to TO 63372 3335 8 refer refer VB 63372 3335 9 daily daily JJ 63372 3335 10 experiences experience NNS 63372 3335 11 to to IN 63372 3335 12 axes axis NNS 63372 3335 13 that that WDT 63372 3335 14 are be VBP 63372 3335 15 not not RB 63372 3335 16 placed place VBN 63372 3335 17 where where WRB 63372 3335 18 we -PRON- PRP 63372 3335 19 happen happen VBP 63372 3335 20 to to TO 63372 3335 21 be be VB 63372 3335 22 , , , 63372 3335 23 and and CC 63372 3335 24 so so RB 63372 3335 25 we -PRON- PRP 63372 3335 26 prefer prefer VBP 63372 3335 27 to to TO 63372 3335 28 take take VB 63372 3335 29 the the DT 63372 3335 30 force force NN 63372 3335 31 and and CC 63372 3335 32 rotating rotate VBG 63372 3335 33 axes axis NNS 63372 3335 34 instead instead RB 63372 3335 35 of of IN 63372 3335 36 no no DT 63372 3335 37 force force NN 63372 3335 38 and and CC 63372 3335 39 fixed fix VBN 63372 3335 40 axes axis NNS 63372 3335 41 . . . 63372 3336 1 ] ] -RRB- 63372 3336 2 272 272 CD 63372 3336 3 We -PRON- PRP 63372 3336 4 seem seem VBP 63372 3336 5 to to TO 63372 3336 6 have have VB 63372 3336 7 a a DT 63372 3336 8 direct direct JJ 63372 3336 9 experience experience NN 63372 3336 10 of of IN 63372 3336 11 force force NN 63372 3336 12 in in IN 63372 3336 13 our -PRON- PRP$ 63372 3336 14 muscular muscular JJ 63372 3336 15 sensations sensation NNS 63372 3336 16 . . . 63372 3337 1 By by IN 63372 3337 2 pushing push VBG 63372 3337 3 or or CC 63372 3337 4 pulling pull VBG 63372 3337 5 we -PRON- PRP 63372 3337 6 can can MD 63372 3337 7 set set VB 63372 3337 8 bodies body NNS 63372 3337 9 in in IN 63372 3337 10 motion motion NN 63372 3337 11 . . . 63372 3338 1 It -PRON- PRP 63372 3338 2 is be VBZ 63372 3338 3 natural natural JJ 63372 3338 4 to to TO 63372 3338 5 assume assume VB 63372 3338 6 , , , 63372 3338 7 that that IN 63372 3338 8 something something NN 63372 3338 9 similar similar JJ 63372 3338 10 occurs occur VBZ 63372 3338 11 , , , 63372 3338 12 when when WRB 63372 3338 13 Nature Nature NNP 63372 3338 14 set set VBD 63372 3338 15 bodies body NNS 63372 3338 16 in in IN 63372 3338 17 motion motion NN 63372 3338 18 . . . 63372 3339 1 But but CC 63372 3339 2 is be VBZ 63372 3339 3 this this DT 63372 3339 4 not not RB 63372 3339 5 a a DT 63372 3339 6 relic relic NN 63372 3339 7 of of IN 63372 3339 8 animism animism NN 63372 3339 9 ? ? . 63372 3340 1 The the DT 63372 3340 2 savage savage NN 63372 3340 3 and and CC 63372 3340 4 the the DT 63372 3340 5 ancients ancient NNS 63372 3340 6 peopled people VBD 63372 3340 7 all all PDT 63372 3340 8 the the DT 63372 3340 9 woods wood NNS 63372 3340 10 and and CC 63372 3340 11 skies sky NNS 63372 3340 12 with with IN 63372 3340 13 Gods god NNS 63372 3340 14 and and CC 63372 3340 15 demons demon NNS 63372 3340 16 , , , 63372 3340 17 who who WP 63372 3340 18 carries carry VBZ 63372 3340 19 on on IN 63372 3340 20 the the DT 63372 3340 21 activities activity NNS 63372 3340 22 of of IN 63372 3340 23 nature nature NN 63372 3340 24 by by IN 63372 3340 25 their -PRON- PRP$ 63372 3340 26 own own JJ 63372 3340 27 bodily bodily JJ 63372 3340 28 efforts effort NNS 63372 3340 29 . . . 63372 3341 1 Today today NN 63372 3341 2 we -PRON- PRP 63372 3341 3 have have VBP 63372 3341 4 dispossessed dispossess VBN 63372 3341 5 the the DT 63372 3341 6 demons demon NNS 63372 3341 7 , , , 63372 3341 8 but but CC 63372 3341 9 the the DT 63372 3341 10 ghost ghost NN 63372 3341 11 of of IN 63372 3341 12 a a DT 63372 3341 13 muscular muscular JJ 63372 3341 14 pull pull NN 63372 3341 15 still still RB 63372 3341 16 holds hold VBZ 63372 3341 17 the the DT 63372 3341 18 planets planet NNS 63372 3341 19 in in IN 63372 3341 20 place place NN 63372 3341 21 . . . 63372 3342 1 ] ] -RRB- 63372 3342 2 141 141 CD 63372 3342 3 The the DT 63372 3342 4 general general JJ 63372 3342 5 theory theory NN 63372 3342 6 is be VBZ 63372 3342 7 an an DT 63372 3342 8 extension extension NN 63372 3342 9 of of IN 63372 3342 10 the the DT 63372 3342 11 special special JJ 63372 3342 12 theory theory NN 63372 3342 13 which which WDT 63372 3342 14 enables enable VBZ 63372 3342 15 the the DT 63372 3342 16 law law NN 63372 3342 17 of of IN 63372 3342 18 gravitation gravitation NN 63372 3342 19 to to TO 63372 3342 20 be be VB 63372 3342 21 deduced deduce VBN 63372 3342 22 . . . 63372 3343 1 Not not RB 63372 3343 2 in in IN 63372 3343 3 Newton Newton NNP 63372 3343 4 's 's POS 63372 3343 5 form form NN 63372 3343 6 , , , 63372 3343 7 it -PRON- PRP 63372 3343 8 is be VBZ 63372 3343 9 true true JJ 63372 3343 10 , , , 63372 3343 11 but but CC 63372 3343 12 in in IN 63372 3343 13 a a DT 63372 3343 14 better well JJR 63372 3343 15 form form NN 63372 3343 16 , , , 63372 3343 17 that that RB 63372 3343 18 is is RB 63372 3343 19 , , , 63372 3343 20 one one NN 63372 3343 21 that that WDT 63372 3343 22 accounts account VBZ 63372 3343 23 for for IN 63372 3343 24 two two CD 63372 3343 25 important important JJ 63372 3343 26 facts fact NNS 63372 3343 27 otherwise otherwise RB 63372 3343 28 not not RB 63372 3343 29 explained explain VBN 63372 3343 30 . . . 63372 3344 1 But but CC 63372 3344 2 it -PRON- PRP 63372 3344 3 is be VBZ 63372 3344 4 a a DT 63372 3344 5 far far RB 63372 3344 6 more more RBR 63372 3344 7 general general JJ 63372 3344 8 theory theory NN 63372 3344 9 that that WDT 63372 3344 10 indicated indicate VBD 63372 3344 11 above above RB 63372 3344 12 . . . 63372 3345 1 It -PRON- PRP 63372 3345 2 is be VBZ 63372 3345 3 a a DT 63372 3345 4 complete complete JJ 63372 3345 5 study study NN 63372 3345 6 of of IN 63372 3345 7 the the DT 63372 3345 8 relations relation NNS 63372 3345 9 between between IN 63372 3345 10 laws law NNS 63372 3345 11 expressed express VBN 63372 3345 12 by by IN 63372 3345 13 means mean NNS 63372 3345 14 of of IN 63372 3345 15 any any DT 63372 3345 16 four four CD 63372 3345 17 coordinates coordinate NNS 63372 3345 18 ( ( -LRB- 63372 3345 19 of of IN 63372 3345 20 which which WDT 63372 3345 21 three three CD 63372 3345 22 space space NN 63372 3345 23 and and CC 63372 3345 24 one one CD 63372 3345 25 time time NN 63372 3345 26 is be VBZ 63372 3345 27 a a DT 63372 3345 28 special special JJ 63372 3345 29 case case NN 63372 3345 30 ) ) -RRB- 63372 3345 31 , , , 63372 3345 32 and and CC 63372 3345 33 the the DT 63372 3345 34 same same JJ 63372 3345 35 laws law NNS 63372 3345 36 expressed express VBN 63372 3345 37 in in IN 63372 3345 38 the the DT 63372 3345 39 four four CD 63372 3345 40 coordinates coordinate NNS 63372 3345 41 of of IN 63372 3345 42 a a DT 63372 3345 43 system system NN 63372 3345 44 having have VBG 63372 3345 45 any any DT 63372 3345 46 motion motion NN 63372 3345 47 whatever whatever WDT 63372 3345 48 with with IN 63372 3345 49 respect respect NN 63372 3345 50 to to IN 63372 3345 51 the the DT 63372 3345 52 first first JJ 63372 3345 53 system system NN 63372 3345 54 . . . 63372 3346 1 By by IN 63372 3346 2 restricting restrict VBG 63372 3346 3 this this DT 63372 3346 4 general general JJ 63372 3346 5 study study NN 63372 3346 6 in in IN 63372 3346 7 accordance accordance NN 63372 3346 8 with with IN 63372 3346 9 certain certain JJ 63372 3346 10 postulates postulate NNS 63372 3346 11 about about IN 63372 3346 12 the the DT 63372 3346 13 nature nature NN 63372 3346 14 of of IN 63372 3346 15 the the DT 63372 3346 16 universe universe NN 63372 3346 17 we -PRON- PRP 63372 3346 18 live live VBP 63372 3346 19 in in IN 63372 3346 20 , , , 63372 3346 21 we -PRON- PRP 63372 3346 22 arrive arrive VBP 63372 3346 23 at at IN 63372 3346 24 a a DT 63372 3346 25 number number NN 63372 3346 26 of of IN 63372 3346 27 conclusions conclusion NNS 63372 3346 28 which which WDT 63372 3346 29 fit fit VBP 63372 3346 30 more more RBR 63372 3346 31 closely closely RB 63372 3346 32 with with IN 63372 3346 33 observed observed JJ 63372 3346 34 facts fact NNS 63372 3346 35 that that IN 63372 3346 36 the the DT 63372 3346 37 conclusions conclusion NNS 63372 3346 38 drawn draw VBN 63372 3346 39 from from IN 63372 3346 40 Newton Newton NNP 63372 3346 41 's 's POS 63372 3346 42 theory theory NN 63372 3346 43 . . . 63372 3347 1 ] ] -RRB- 63372 3347 2 221 221 CD 63372 3347 3 NOTES note NNS 63372 3347 4 [ [ -LRB- 63372 3347 5 1 1 CD 63372 3347 6 ] ] -RRB- 63372 3347 7 It -PRON- PRP 63372 3347 8 will will MD 63372 3347 9 be be VB 63372 3347 10 noted note VBN 63372 3347 11 that that IN 63372 3347 12 Mr. Mr. NNP 63372 3347 13 Bolton Bolton NNP 63372 3347 14 pronounces pronounce VBZ 63372 3347 15 the the DT 63372 3347 16 geometry geometry NN 63372 3347 17 of of IN 63372 3347 18 space space NN 63372 3347 19 to to TO 63372 3347 20 be be VB 63372 3347 21 Euclidean euclidean JJ 63372 3347 22 in in IN 63372 3347 23 the the DT 63372 3347 24 absence absence NN 63372 3347 25 of of IN 63372 3347 26 gravitational gravitational JJ 63372 3347 27 fields field NNS 63372 3347 28 , , , 63372 3347 29 not not RB 63372 3347 30 that that DT 63372 3347 31 of of IN 63372 3347 32 space space NN 63372 3347 33 - - HYPH 63372 3347 34 time time NN 63372 3347 35 . . . 63372 3348 1 This this DT 63372 3348 2 is be VBZ 63372 3348 3 in in IN 63372 3348 4 accord accord NN 63372 3348 5 with with IN 63372 3348 6 what what WP 63372 3348 7 was be VBD 63372 3348 8 pointed point VBN 63372 3348 9 out out RP 63372 3348 10 on on IN 63372 3348 11 page page NN 63372 3348 12 161.--Editor 161.--editor CD 63372 3348 13 . . . 63372 3349 1 [ [ -LRB- 63372 3349 2 2 2 LS 63372 3349 3 ] ] -RRB- 63372 3349 4 The the DT 63372 3349 5 author author NN 63372 3349 6 here here RB 63372 3349 7 comes come VBZ 63372 3349 8 perilously perilously RB 63372 3349 9 close close JJ 63372 3349 10 to to IN 63372 3349 11 ascribing ascribe VBG 63372 3349 12 to to IN 63372 3349 13 this this DT 63372 3349 14 " " `` 63372 3349 15 contraction contraction NN 63372 3349 16 " " '' 63372 3349 17 the the DT 63372 3349 18 sort sort NN 63372 3349 19 of of IN 63372 3349 20 physical physical JJ 63372 3349 21 reality reality NN 63372 3349 22 which which WDT 63372 3349 23 it -PRON- PRP 63372 3349 24 does do VBZ 63372 3349 25 not not RB 63372 3349 26 possess possess VB 63372 3349 27 . . . 63372 3350 1 See see VB 63372 3350 2 page page NN 63372 3350 3 96.--Editor 96.--editor CD 63372 3350 4 . . . 63372 3351 1 [ [ -LRB- 63372 3351 2 3 3 LS 63372 3351 3 ] ] -RRB- 63372 3351 4 Dr. Dr. NNP 63372 3351 5 Davis Davis NNP 63372 3351 6 went go VBD 63372 3351 7 rather rather RB 63372 3351 8 fully fully RB 63372 3351 9 into into IN 63372 3351 10 the the DT 63372 3351 11 algebra algebra NN 63372 3351 12 of of IN 63372 3351 13 the the DT 63372 3351 14 Michelson Michelson NNP 63372 3351 15 - - HYPH 63372 3351 16 Morley Morley NNP 63372 3351 17 experiment experiment NN 63372 3351 18 . . . 63372 3352 1 But but CC 63372 3352 2 Dr. Dr. NNP 63372 3352 3 Russell Russell NNP 63372 3352 4 has have VBZ 63372 3352 5 covered cover VBN 63372 3352 6 the the DT 63372 3352 7 same same JJ 63372 3352 8 ground ground NN 63372 3352 9 in in IN 63372 3352 10 a a DT 63372 3352 11 form form NN 63372 3352 12 somewhat somewhat RB 63372 3352 13 more more RBR 63372 3352 14 advantageous advantageous JJ 63372 3352 15 from from IN 63372 3352 16 the the DT 63372 3352 17 typographical typographical JJ 63372 3352 18 viewpoint viewpoint NN 63372 3352 19 , , , 63372 3352 20 and and CC 63372 3352 21 the the DT 63372 3352 22 point point NN 63372 3352 23 is be VBZ 63372 3352 24 not not RB 63372 3352 25 one one CD 63372 3352 26 which which WDT 63372 3352 27 it -PRON- PRP 63372 3352 28 is be VBZ 63372 3352 29 profitable profitable JJ 63372 3352 30 to to TO 63372 3352 31 discuss discuss VB 63372 3352 32 twice twice RB 63372 3352 33 ; ; : 63372 3352 34 so so CC 63372 3352 35 we -PRON- PRP 63372 3352 36 eliminate eliminate VBP 63372 3352 37 this this DT 63372 3352 38 part part NN 63372 3352 39 of of IN 63372 3352 40 Dr. Dr. NNP 63372 3352 41 Davis Davis NNP 63372 3352 42 ' ' POS 63372 3352 43 text.--Editor text.--editor NN 63372 3352 44 . . . 63372 3353 1 [ [ -LRB- 63372 3353 2 4 4 LS 63372 3353 3 ] ] -RRB- 63372 3353 4 This this DT 63372 3353 5 statement statement NN 63372 3353 6 is be VBZ 63372 3353 7 objectionable objectionable JJ 63372 3353 8 , , , 63372 3353 9 as as IN 63372 3353 10 explained explain VBN 63372 3353 11 in in IN 63372 3353 12 Chapter Chapter NNP 63372 3353 13 IV.--Editor IV.--Editor NNP 63372 3353 14 . . . 63372 3354 1 [ [ -LRB- 63372 3354 2 5 5 CD 63372 3354 3 ] ] -RRB- 63372 3354 4 A. a. NN 63372 3354 5 Einstein Einstein NNP 63372 3354 6 : : . 63372 3354 7 Die Die NNP 63372 3354 8 Grundlage Grundlage NNP 63372 3354 9 der der VBP 63372 3354 10 allgemeinen allgemeinen NNP 63372 3354 11 Relativitätstheorie Relativitätstheorie NNP 63372 3354 12 . . . 63372 3355 1 Ann Ann NNP 63372 3355 2 . . . 63372 3356 1 d. d. NNP 63372 3356 2 Physik Physik NNP 63372 3356 3 . . . 63372 3357 1 4 4 LS 63372 3357 2 , , , 63372 3357 3 vol vol NNP 63372 3357 4 . . . 63372 3358 1 49 49 CD 63372 3358 2 , , , 63372 3358 3 page page NN 63372 3358 4 776 776 CD 63372 3358 5 . . . 63372 3359 1 [ [ -LRB- 63372 3359 2 6 6 CD 63372 3359 3 ] ] -RRB- 63372 3359 4 At at IN 63372 3359 5 this this DT 63372 3359 6 point point NN 63372 3359 7 we -PRON- PRP 63372 3359 8 have have VBP 63372 3359 9 again again RB 63372 3359 10 used use VBN 63372 3359 11 the the DT 63372 3359 12 blue blue JJ 63372 3359 13 pencil pencil NN 63372 3359 14 on on IN 63372 3359 15 Dr. Dr. NNP 63372 3359 16 Davis Davis NNP 63372 3359 17 ' ' POS 63372 3359 18 text text NN 63372 3359 19 , , , 63372 3359 20 his -PRON- PRP$ 63372 3359 21 discussion discussion NN 63372 3359 22 of of IN 63372 3359 23 the the DT 63372 3359 24 three three CD 63372 3359 25 observational observational JJ 63372 3359 26 tests test NNS 63372 3359 27 of of IN 63372 3359 28 the the DT 63372 3359 29 General General NNP 63372 3359 30 Theory Theory NNP 63372 3359 31 adding add VBG 63372 3359 32 nothing nothing NN 63372 3359 33 to to IN 63372 3359 34 Dr. Dr. NNP 63372 3360 1 Pickering's.--The Pickering's.--The NNP 63372 3360 2 Editor Editor NNP 63372 3360 3 . . . 63372 3361 1 [ [ -LRB- 63372 3361 2 7 7 LS 63372 3361 3 ] ] -RRB- 63372 3361 4 Commander Commander NNP 63372 3361 5 McHardy McHardy NNP 63372 3361 6 uses use VBZ 63372 3361 7 the the DT 63372 3361 8 term term NN 63372 3361 9 " " `` 63372 3361 10 event event NN 63372 3361 11 " " '' 63372 3361 12 in in IN 63372 3361 13 a a DT 63372 3361 14 sense sense NN 63372 3361 15 somewhat somewhat RB 63372 3361 16 different different JJ 63372 3361 17 from from IN 63372 3361 18 that that DT 63372 3361 19 seen see VBN 63372 3361 20 in in IN 63372 3361 21 a a DT 63372 3361 22 majority majority NN 63372 3361 23 of of IN 63372 3361 24 the the DT 63372 3361 25 essays essay NNS 63372 3361 26 . . . 63372 3362 1 He -PRON- PRP 63372 3362 2 reserves reserve VBZ 63372 3362 3 for for IN 63372 3362 4 the the DT 63372 3362 5 four four CD 63372 3362 6 - - HYPH 63372 3362 7 dimensional dimensional JJ 63372 3362 8 element element NN 63372 3362 9 -- -- : 63372 3362 10 the the DT 63372 3362 11 instant instant NN 63372 3362 12 of of IN 63372 3362 13 time time NN 63372 3362 14 at at IN 63372 3362 15 a a DT 63372 3362 16 point point NN 63372 3362 17 in in IN 63372 3362 18 space space NN 63372 3362 19 -- -- : 63372 3362 20 the the DT 63372 3362 21 name name NN 63372 3362 22 " " `` 63372 3362 23 point point NN 63372 3362 24 - - HYPH 63372 3362 25 event event NN 63372 3362 26 " " '' 63372 3362 27 ; ; , 63372 3362 28 and and CC 63372 3362 29 the the DT 63372 3362 30 term term NN 63372 3362 31 " " `` 63372 3362 32 event event NN 63372 3362 33 " " '' 63372 3362 34 he -PRON- PRP 63372 3362 35 applies apply VBZ 63372 3362 36 to to IN 63372 3362 37 a a DT 63372 3362 38 collection collection NN 63372 3362 39 of of IN 63372 3362 40 these these DT 63372 3362 41 forming forming NN 63372 3362 42 , , , 63372 3362 43 together together RB 63372 3362 44 , , , 63372 3362 45 an an DT 63372 3362 46 observable observable JJ 63372 3362 47 whole whole NN 63372 3362 48 . . . 63372 3363 1 An an DT 63372 3363 2 actual actual JJ 63372 3363 3 physical physical JJ 63372 3363 4 happening happening NN 63372 3363 5 , , , 63372 3363 6 like like IN 63372 3363 7 a a DT 63372 3363 8 railroad railroad NN 63372 3363 9 wreck wreck NN 63372 3363 10 or or CC 63372 3363 11 a a DT 63372 3363 12 laboratory laboratory NN 63372 3363 13 experiment experiment NN 63372 3363 14 , , , 63372 3363 15 it -PRON- PRP 63372 3363 16 will will MD 63372 3363 17 be be VB 63372 3363 18 realized realize VBN 63372 3363 19 is be VBZ 63372 3363 20 of of IN 63372 3363 21 the the DT 63372 3363 22 latter latter JJ 63372 3363 23 sort sort NN 63372 3363 24 , , , 63372 3363 25 occupying occupy VBG 63372 3363 26 an an DT 63372 3363 27 appreciable appreciable JJ 63372 3363 28 region region NN 63372 3363 29 of of IN 63372 3363 30 space space NN 63372 3363 31 rather rather RB 63372 3363 32 than than IN 63372 3363 33 a a DT 63372 3363 34 single single JJ 63372 3363 35 point point NN 63372 3363 36 , , , 63372 3363 37 and and CC 63372 3363 38 an an DT 63372 3363 39 appreciable appreciable JJ 63372 3363 40 interval interval NN 63372 3363 41 of of IN 63372 3363 42 time time NN 63372 3363 43 rather rather RB 63372 3363 44 than than IN 63372 3363 45 a a DT 63372 3363 46 single single JJ 63372 3363 47 second second NN 63372 3363 48 . . . 63372 3364 1 To to IN 63372 3364 2 the the DT 63372 3364 3 element element NN 63372 3364 4 , , , 63372 3364 5 the the DT 63372 3364 6 " " `` 63372 3364 7 point point NN 63372 3364 8 - - HYPH 63372 3364 9 event event NN 63372 3364 10 " " '' 63372 3364 11 of of IN 63372 3364 12 Commander Commander NNP 63372 3364 13 McHardy McHardy NNP 63372 3364 14 's 's POS 63372 3364 15 essay essay NN 63372 3364 16 , , , 63372 3364 17 this this DT 63372 3364 18 bears bear VBZ 63372 3364 19 the the DT 63372 3364 20 same same JJ 63372 3364 21 relation relation NN 63372 3364 22 that that IN 63372 3364 23 the the DT 63372 3364 24 geometer geometer NN 63372 3364 25 's 's POS 63372 3364 26 solid solid JJ 63372 3364 27 bears bear NNS 63372 3364 28 to to IN 63372 3364 29 his -PRON- PRP$ 63372 3364 30 point point NN 63372 3364 31 . . . 63372 3365 1 This this DT 63372 3365 2 comment comment NN 63372 3365 3 is be VBZ 63372 3365 4 in in IN 63372 3365 5 no no DT 63372 3365 6 sense sense NN 63372 3365 7 to to TO 63372 3365 8 be be VB 63372 3365 9 taken take VBN 63372 3365 10 as as IN 63372 3365 11 criticism criticism NN 63372 3365 12 of of IN 63372 3365 13 Commander Commander NNP 63372 3365 14 McHardy McHardy NNP 63372 3365 15 's 's POS 63372 3365 16 terminology terminology NN 63372 3365 17 , , , 63372 3365 18 which which WDT 63372 3365 19 rather rather RB 63372 3365 20 appeals appeal VBZ 63372 3365 21 to to IN 63372 3365 22 us -PRON- PRP 63372 3365 23 ; ; : 63372 3365 24 we -PRON- PRP 63372 3365 25 make make VBP 63372 3365 26 it -PRON- PRP 63372 3365 27 merely merely RB 63372 3365 28 to to TO 63372 3365 29 guard guard VB 63372 3365 30 against against IN 63372 3365 31 confusion confusion NN 63372 3365 32 in in IN 63372 3365 33 the the DT 63372 3365 34 reader reader NN 63372 3365 35 's 's POS 63372 3365 36 mind.--Editor mind.--editor CD 63372 3365 37 . . . 63372 3366 1 [ [ -LRB- 63372 3366 2 8 8 LS 63372 3366 3 ] ] -RRB- 63372 3366 4 This this DT 63372 3366 5 paragraph paragraph NN 63372 3366 6 is be VBZ 63372 3366 7 the the DT 63372 3366 8 result result NN 63372 3366 9 of of IN 63372 3366 10 an an DT 63372 3366 11 editorial editorial JJ 63372 3366 12 revision revision NN 63372 3366 13 of of IN 63372 3366 14 the the DT 63372 3366 15 author author NN 63372 3366 16 's 's POS 63372 3366 17 text text NN 63372 3366 18 , , , 63372 3366 19 designed design VBN 63372 3366 20 to to TO 63372 3366 21 retain retain VB 63372 3366 22 the the DT 63372 3366 23 substance substance NN 63372 3366 24 of of IN 63372 3366 25 his -PRON- PRP$ 63372 3366 26 presentation presentation NN 63372 3366 27 , , , 63372 3366 28 while while IN 63372 3366 29 tying tie VBG 63372 3366 30 up up RP 63372 3366 31 what what WP 63372 3366 32 he -PRON- PRP 63372 3366 33 has have VBZ 63372 3366 34 to to TO 63372 3366 35 say say VB 63372 3366 36 more more RBR 63372 3366 37 definitely definitely RB 63372 3366 38 with with IN 63372 3366 39 the the DT 63372 3366 40 preceding precede VBG 63372 3366 41 essays essay NNS 63372 3366 42 , , , 63372 3366 43 and and CC 63372 3366 44 eliminating eliminate VBG 63372 3366 45 the the DT 63372 3366 46 distinction distinction NN 63372 3366 47 between between IN 63372 3366 48 finite finite JJ 63372 3366 49 and and CC 63372 3366 50 infinitesimal infinitesimal JJ 63372 3366 51 intervals interval NNS 63372 3366 52 , , , 63372 3366 53 which which WDT 63372 3366 54 we -PRON- PRP 63372 3366 55 believe believe VBP 63372 3366 56 to to TO 63372 3366 57 be be VB 63372 3366 58 out out IN 63372 3366 59 of of IN 63372 3366 60 place place NN 63372 3366 61 in in IN 63372 3366 62 an an DT 63372 3366 63 essay essay NN 63372 3366 64 of of IN 63372 3366 65 this this DT 63372 3366 66 character character NN 63372 3366 67 . . . 63372 3367 1 We -PRON- PRP 63372 3367 2 will will MD 63372 3367 3 not not RB 63372 3367 4 apologize apologize VB 63372 3367 5 to to IN 63372 3367 6 our -PRON- PRP$ 63372 3367 7 mathematical mathematical JJ 63372 3367 8 readers reader NNS 63372 3367 9 for for IN 63372 3367 10 having have VBG 63372 3367 11 used use VBN 63372 3367 12 finite finite NN 63372 3367 13 and and CC 63372 3367 14 differential differential JJ 63372 3367 15 notation notation NN 63372 3367 16 in in IN 63372 3367 17 the the DT 63372 3367 18 same same JJ 63372 3367 19 equation equation NN 63372 3367 20 , , , 63372 3367 21 in in IN 63372 3367 22 violation violation NN 63372 3367 23 of of IN 63372 3367 24 mathematical mathematical JJ 63372 3367 25 convention.--Editor convention.--editor NN 63372 3367 26 . . . 63372 3368 1 [ [ -LRB- 63372 3368 2 9 9 CD 63372 3368 3 ] ] -RRB- 63372 3368 4 Although although IN 63372 3368 5 gravitational gravitational JJ 63372 3368 6 force force NN 63372 3368 7 in in IN 63372 3368 8 a a DT 63372 3368 9 small small JJ 63372 3368 10 region region NN 63372 3368 11 can can MD 63372 3368 12 be be VB 63372 3368 13 imitated imitate VBN 63372 3368 14 or or CC 63372 3368 15 annulled annul VBN 63372 3368 16 by by IN 63372 3368 17 accelerating accelerate VBG 63372 3368 18 motion motion NN 63372 3368 19 , , , 63372 3368 20 there there EX 63372 3368 21 remains remain VBZ 63372 3368 22 the the DT 63372 3368 23 disturbing disturbing JJ 63372 3368 24 influence influence NN 63372 3368 25 of of IN 63372 3368 26 gravitational gravitational JJ 63372 3368 27 matter matter NN 63372 3368 28 already already RB 63372 3368 29 referred refer VBD 63372 3368 30 to to IN 63372 3368 31 and and CC 63372 3368 32 expressed express VBN 63372 3368 33 in in IN 63372 3368 34 the the DT 63372 3368 35 fabric fabric NN 63372 3368 36 curvature curvature NN 63372 3368 37 . . . 63372 3369 1 It -PRON- PRP 63372 3369 2 is be VBZ 63372 3369 3 this this DT 63372 3369 4 that that WDT 63372 3369 5 defines define VBZ 63372 3369 6 how how WRB 63372 3369 7 unique unique JJ 63372 3369 8 tracks track NNS 63372 3369 9 run run VBP 63372 3369 10 , , , 63372 3369 11 or or CC 63372 3369 12 rather rather RB 63372 3369 13 , , , 63372 3369 14 how how WRB 63372 3369 15 bodies body NNS 63372 3369 16 progress.--Author progress.--author CD 63372 3369 17 . . . 63372 3370 1 [ [ -LRB- 63372 3370 2 10 10 CD 63372 3370 3 ] ] -RRB- 63372 3370 4 Not not RB 63372 3370 5 all all DT 63372 3370 6 gravitational gravitational JJ 63372 3370 7 fields field NNS 63372 3370 8 may may MD 63372 3370 9 be be VB 63372 3370 10 transformed transform VBN 63372 3370 11 away away RP 63372 3370 12 by by IN 63372 3370 13 a a DT 63372 3370 14 proper proper JJ 63372 3370 15 choice choice NN 63372 3370 16 of of IN 63372 3370 17 coordinates coordinate NNS 63372 3370 18 . . . 63372 3371 1 If if IN 63372 3371 2 this this DT 63372 3371 3 were be VBD 63372 3371 4 so so RB 63372 3371 5 , , , 63372 3371 6 the the DT 63372 3371 7 space space NN 63372 3371 8 , , , 63372 3371 9 whose whose WP$ 63372 3371 10 nature nature NN 63372 3371 11 is be VBZ 63372 3371 12 independent independent JJ 63372 3371 13 of of IN 63372 3371 14 any any DT 63372 3371 15 choice choice NN 63372 3371 16 of of IN 63372 3371 17 coordinates coordinate NNS 63372 3371 18 , , , 63372 3371 19 would would MD 63372 3371 20 always always RB 63372 3371 21 be be VB 63372 3371 22 Euclidean.--Author Euclidean.--Author VBN 63372 3371 23 . . . 63372 3372 1 [ [ -LRB- 63372 3372 2 11 11 CD 63372 3372 3 ] ] -RRB- 63372 3372 4 Thus thus RB 63372 3372 5 when when WRB 63372 3372 6 it -PRON- PRP 63372 3372 7 it -PRON- PRP 63372 3372 8 said say VBD 63372 3372 9 that that IN 63372 3372 10 a a DT 63372 3372 11 body body NN 63372 3372 12 contracts contract NNS 63372 3372 13 or or CC 63372 3372 14 that that IN 63372 3372 15 a a DT 63372 3372 16 clock clock NN 63372 3372 17 runs run VBZ 63372 3372 18 slow slow JJ 63372 3372 19 when when WRB 63372 3372 20 it -PRON- PRP 63372 3372 21 is be VBZ 63372 3372 22 put put VBN 63372 3372 23 in in IN 63372 3372 24 motion motion NN 63372 3372 25 no no DT 63372 3372 26 actual actual JJ 63372 3372 27 physical physical JJ 63372 3372 28 change change NN 63372 3372 29 is be VBZ 63372 3372 30 implied imply VBN 63372 3372 31 . . . 63372 3373 1 The the DT 63372 3373 2 judgment judgment NN 63372 3373 3 of of IN 63372 3373 4 different different JJ 63372 3373 5 observers observer NNS 63372 3373 6 -- -- : 63372 3373 7 one one CD 63372 3373 8 at at IN 63372 3373 9 rest rest NN 63372 3373 10 with with IN 63372 3373 11 respect respect NN 63372 3373 12 to to IN 63372 3373 13 the the DT 63372 3373 14 body body NN 63372 3373 15 and and CC 63372 3373 16 one one CD 63372 3373 17 not not RB 63372 3373 18 -- -- : 63372 3373 19 are be VBP 63372 3373 20 different.--Author different.--author CD 63372 3373 21 . . . 63372 3374 1 [ [ -LRB- 63372 3374 2 12 12 CD 63372 3374 3 ] ] -RRB- 63372 3374 4 The the DT 63372 3374 5 balance balance NN 63372 3374 6 of of IN 63372 3374 7 Dr. Dr. NNP 63372 3374 8 Royds Royds NNP 63372 3374 9 ' ' POS 63372 3374 10 essay essay NN 63372 3374 11 is be VBZ 63372 3374 12 given give VBN 63372 3374 13 to to IN 63372 3374 14 a a DT 63372 3374 15 discussion discussion NN 63372 3374 16 of of IN 63372 3374 17 the the DT 63372 3374 18 phenomena phenomenon NNS 63372 3374 19 of of IN 63372 3374 20 Mercury Mercury NNP 63372 3374 21 's 's POS 63372 3374 22 perihelial perihelial JJ 63372 3374 23 advance advance NN 63372 3374 24 , , , 63372 3374 25 the the DT 63372 3374 26 deflection deflection NN 63372 3374 27 of of IN 63372 3374 28 light light NN 63372 3374 29 under under IN 63372 3374 30 the the DT 63372 3374 31 gravitational gravitational JJ 63372 3374 32 field field NN 63372 3374 33 of of IN 63372 3374 34 the the DT 63372 3374 35 sun sun NN 63372 3374 36 , , , 63372 3374 37 and and CC 63372 3374 38 the the DT 63372 3374 39 shift shift NN 63372 3374 40 in in IN 63372 3374 41 spectral spectral JJ 63372 3374 42 lines line NNS 63372 3374 43 , , , 63372 3374 44 in in IN 63372 3374 45 connection connection NN 63372 3374 46 with with IN 63372 3374 47 which which WDT 63372 3374 48 alone alone RB 63372 3374 49 Einstein Einstein NNP 63372 3374 50 's 's POS 63372 3374 51 theory theory NN 63372 3374 52 makes make VBZ 63372 3374 53 predictions prediction NNS 63372 3374 54 which which WDT 63372 3374 55 are be VBP 63372 3374 56 sufficiently sufficiently RB 63372 3374 57 at at IN 63372 3374 58 variance variance NN 63372 3374 59 with with IN 63372 3374 60 those those DT 63372 3374 61 of of IN 63372 3374 62 Newtonian newtonian JJ 63372 3374 63 science science NN 63372 3374 64 to to TO 63372 3374 65 be be VB 63372 3374 66 of of IN 63372 3374 67 value value NN 63372 3374 68 in in IN 63372 3374 69 checking check VBG 63372 3374 70 up up RP 63372 3374 71 the the DT 63372 3374 72 theory theory NN 63372 3374 73 observationally observationally RB 63372 3374 74 . . . 63372 3375 1 In in IN 63372 3375 2 the the DT 63372 3375 3 interest interest NN 63372 3375 4 of of IN 63372 3375 5 space space NN 63372 3375 6 conservation conservation NN 63372 3375 7 and and CC 63372 3375 8 in in IN 63372 3375 9 the the DT 63372 3375 10 presence presence NN 63372 3375 11 of of IN 63372 3375 12 Dr. Dr. NNP 63372 3375 13 Pickering Pickering NNP 63372 3375 14 's 's POS 63372 3375 15 very very RB 63372 3375 16 complete complete JJ 63372 3375 17 discussion discussion NN 63372 3375 18 of of IN 63372 3375 19 these these DT 63372 3375 20 matters matter NNS 63372 3375 21 we -PRON- PRP 63372 3375 22 omit omit VBP 63372 3375 23 Dr. Dr. NNP 63372 3375 24 Royds Royds NNP 63372 3375 25 ' ' POS 63372 3375 26 statement.--Editor statement.--editor CD 63372 3375 27 . . . 63372 3376 1 [ [ -LRB- 63372 3376 2 13 13 CD 63372 3376 3 ] ] -RRB- 63372 3376 4 There there EX 63372 3376 5 is be VBZ 63372 3376 6 , , , 63372 3376 7 on on IN 63372 3376 8 any any DT 63372 3376 9 view view NN 63372 3376 10 , , , 63372 3376 11 no no DT 63372 3376 12 difference difference NN 63372 3376 13 as as IN 63372 3376 14 regards regard VBZ 63372 3376 15 observation observation NN 63372 3376 16 of of IN 63372 3376 17 position position NN 63372 3376 18 only.--Author only.--author CD 63372 3376 19 . . .