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35024 22 60 shorter short JJR 35024 22 61 papers paper NNS 35024 22 62 relating relate VBG 35024 22 63 to to IN 35024 22 64 the the DT 35024 22 65 collections collection NNS 35024 22 66 and and CC 35024 22 67 research research NN 35024 22 68 of of IN 35024 22 69 that that DT 35024 22 70 Museum Museum NNP 35024 22 71 . . . 35024 23 1 The the DT 35024 23 2 present present JJ 35024 23 3 collection collection NN 35024 23 4 of of IN 35024 23 5 Contributions Contributions NNPS 35024 23 6 , , , 35024 23 7 Papers Papers NNP 35024 23 8 34 34 CD 35024 23 9 - - SYM 35024 23 10 44 44 CD 35024 23 11 , , , 35024 23 12 comprises comprise VBZ 35024 23 13 Bulletin Bulletin NNP 35024 23 14 240 240 CD 35024 23 15 . . . 35024 24 1 Each each DT 35024 24 2 of of IN 35024 24 3 these these DT 35024 24 4 papers paper NNS 35024 24 5 has have VBZ 35024 24 6 been be VBN 35024 24 7 previously previously RB 35024 24 8 published publish VBN 35024 24 9 in in IN 35024 24 10 separate separate JJ 35024 24 11 form form NN 35024 24 12 . . . 35024 25 1 The the DT 35024 25 2 year year NN 35024 25 3 of of IN 35024 25 4 publication publication NN 35024 25 5 is be VBZ 35024 25 6 shown show VBN 35024 25 7 on on IN 35024 25 8 the the DT 35024 25 9 last last JJ 35024 25 10 page page NN 35024 25 11 of of IN 35024 25 12 each each DT 35024 25 13 paper paper NN 35024 25 14 . . . 35024 26 1 FRANK FRANK NNP 35024 26 2 A. a. NN 35024 26 3 TAYLOR TAYLOR NNP 35024 26 4 _ _ NNP 35024 26 5 Director Director NNP 35024 26 6 , , , 35024 26 7 United United NNP 35024 26 8 States States NNP 35024 26 9 National National NNP 35024 26 10 Museum Museum NNP 35024 26 11 _ _ NNP 35024 26 12 * * NFP 35024 26 13 * * NFP 35024 26 14 * * NFP 35024 26 15 * * NFP 35024 26 16 * * NFP 35024 26 17 Contributions contribution NNS 35024 26 18 from from IN 35024 26 19 the the DT 35024 26 20 Museum Museum NNP 35024 26 21 of of IN 35024 26 22 History History NNP 35024 26 23 and and CC 35024 26 24 Technology Technology NNP 35024 26 25 : : : 35024 26 26 Paper paper NN 35024 26 27 44 44 CD 35024 26 28 DEVELOPMENT development NN 35024 26 29 OF of IN 35024 26 30 GRAVITY GRAVITY NNP 35024 26 31 PENDULUMS PENDULUMS NNPS 35024 26 32 IN in IN 35024 26 33 THE the DT 35024 26 34 19TH 19th CD 35024 26 35 CENTURY century NN 35024 26 36 by by IN 35024 26 37 Victor Victor NNP 35024 26 38 F. F. NNP 35024 26 39 Lenzen Lenzen NNP 35024 26 40 and and CC 35024 26 41 Robert Robert NNP 35024 26 42 P. P. NNP 35024 26 43 Multhauf Multhauf NNP 35024 26 44 GALILEO GALILEO NNP 35024 26 45 , , , 35024 26 46 HUYGENS HUYGENS NNP 35024 26 47 , , , 35024 26 48 AND and CC 35024 26 49 NEWTON NEWTON NNP 35024 26 50 304 304 CD 35024 26 51 FIGURE figure NN 35024 26 52 OF of IN 35024 26 53 THE the DT 35024 26 54 EARTH earth NN 35024 26 55 306 306 CD 35024 26 56 EARLY early NN 35024 26 57 TYPES type NNS 35024 26 58 OF of IN 35024 26 59 PENDULUMS PENDULUMS NNP 35024 26 60 309 309 CD 35024 26 61 KATER KATER NNP 35024 26 62 'S 's POS 35024 26 63 CONVERTIBLE CONVERTIBLE NNS 35024 26 64 AND and CC 35024 26 65 INVARIABLE invariable JJ 35024 26 66 PENDULUMS PENDULUMS NNP 35024 26 67 314 314 CD 35024 26 68 REPSOLD REPSOLD NNS 35024 26 69 - - HYPH 35024 26 70 BESSEL bessel NN 35024 26 71 REVERSIBLE reversible NN 35024 26 72 PENDULUM pendulum NN 35024 26 73 320 320 CD 35024 26 74 PEIRCE PEIRCE NNS 35024 26 75 AND and CC 35024 26 76 DEFFORGES defforges NN 35024 26 77 INVARIABLE INVARIABLE VBN 35024 26 78 , , , 35024 26 79 REVERSIBLE REVERSIBLE NNP 35024 26 80 PENDULUMS PENDULUMS NNP 35024 26 81 327 327 CD 35024 26 82 VON von NN 35024 26 83 STERNECK STERNECK NNP 35024 26 84 AND and CC 35024 26 85 MENDENHALL MENDENHALL NNP 35024 26 86 PENDULUMS PENDULUMS NNP 35024 26 87 331 331 CD 35024 26 88 ABSOLUTE absolute NN 35024 26 89 VALUE value NN 35024 26 90 OF of IN 35024 26 91 GRAVITY GRAVITY NNP 35024 26 92 AT at IN 35024 26 93 POTSDAM potsdam NN 35024 26 94 338 338 CD 35024 26 95 APPLICATION application NN 35024 26 96 OF of IN 35024 26 97 GRAVITY GRAVITY NNP 35024 26 98 SURVEYS SURVEYS NNP 35024 26 99 342 342 CD 35024 26 100 SUMMARY summary NN 35024 26 101 346 346 CD 35024 26 102 VICTOR VICTOR NNP 35024 26 103 F. 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the DT 35024 29 7 period period NN 35024 29 8 of of IN 35024 29 9 a a DT 35024 29 10 pendulum pendulum NN 35024 29 11 varied varied JJ 35024 29 12 not not RB 35024 29 13 only only RB 35024 29 14 with with IN 35024 29 15 the the DT 35024 29 16 latitude latitude NN 35024 29 17 but but CC 35024 29 18 also also RB 35024 29 19 regionally regionally RB 35024 29 20 , , , 35024 29 21 under under IN 35024 29 22 the the DT 35024 29 23 influence influence NN 35024 29 24 of of IN 35024 29 25 topographical topographical JJ 35024 29 26 features feature NNS 35024 29 27 such such JJ 35024 29 28 as as IN 35024 29 29 mountains mountain NNS 35024 29 30 . . . 35024 30 1 It -PRON- PRP 35024 30 2 became become VBD 35024 30 3 clear clear JJ 35024 30 4 that that IN 35024 30 5 the the DT 35024 30 6 measurement measurement NN 35024 30 7 of of IN 35024 30 8 gravity gravity NN 35024 30 9 should should MD 35024 30 10 be be VB 35024 30 11 made make VBN 35024 30 12 a a DT 35024 30 13 part part NN 35024 30 14 of of IN 35024 30 15 the the DT 35024 30 16 work work NN 35024 30 17 of of IN 35024 30 18 the the DT 35024 30 19 geodetic geodetic JJ 35024 30 20 surveyor surveyor NN 35024 30 21 . . . 35024 30 22 ] ] -RRB- 35024 31 1 _ _ NNP 35024 31 2 The the DT 35024 31 3 history history NN 35024 31 4 of of IN 35024 31 5 gravity gravity NN 35024 31 6 pendulums pendulum NNS 35024 31 7 dates date VBZ 35024 31 8 back back RB 35024 31 9 to to IN 35024 31 10 the the DT 35024 31 11 time time NN 35024 31 12 of of IN 35024 31 13 Galileo Galileo NNP 35024 31 14 . . . 35024 32 1 After after IN 35024 32 2 the the DT 35024 32 3 discovery discovery NN 35024 32 4 of of IN 35024 32 5 the the DT 35024 32 6 variation variation NN 35024 32 7 of of IN 35024 32 8 the the DT 35024 32 9 force force NN 35024 32 10 of of IN 35024 32 11 gravity gravity NN 35024 32 12 over over IN 35024 32 13 the the DT 35024 32 14 surface surface NN 35024 32 15 of of IN 35024 32 16 the the DT 35024 32 17 earth earth NN 35024 32 18 , , , 35024 32 19 gravity gravity NNP 35024 32 20 measurement measurement NN 35024 32 21 became become VBD 35024 32 22 a a DT 35024 32 23 major major JJ 35024 32 24 concern concern NN 35024 32 25 of of IN 35024 32 26 physics physics NN 35024 32 27 and and CC 35024 32 28 geodesy geodesy NN 35024 32 29 . . . 35024 33 1 This this DT 35024 33 2 article article NN 35024 33 3 traces trace VBZ 35024 33 4 the the DT 35024 33 5 history history NN 35024 33 6 of of IN 35024 33 7 the the DT 35024 33 8 development development NN 35024 33 9 of of IN 35024 33 10 instruments instrument NNS 35024 33 11 for for IN 35024 33 12 this this DT 35024 33 13 purpose purpose NN 35024 33 14 . . . 35024 33 15 _ _ NNP 35024 33 16 THE the DT 35024 33 17 AUTHORS AUTHORS NNP 35024 33 18 : : : 35024 33 19 _ _ NNP 35024 33 20 Victor Victor NNP 35024 33 21 F. F. NNP 35024 33 22 Lenzen Lenzen NNP 35024 33 23 is be VBZ 35024 33 24 Professor Professor NNP 35024 33 25 of of IN 35024 33 26 Physics Physics NNP 35024 33 27 , , , 35024 33 28 Emeritus Emeritus NNP 35024 33 29 , , , 35024 33 30 at at IN 35024 33 31 the the DT 35024 33 32 University University NNP 35024 33 33 of of IN 35024 33 34 California California NNP 35024 33 35 at at IN 35024 33 36 Berkeley Berkeley NNP 35024 33 37 and and CC 35024 33 38 Robert Robert NNP 35024 33 39 P. P. NNP 35024 33 40 Multhauf Multhauf NNP 35024 33 41 is be VBZ 35024 33 42 Chairman Chairman NNP 35024 33 43 of of IN 35024 33 44 the the DT 35024 33 45 Department Department NNP 35024 33 46 of of IN 35024 33 47 Science Science NNP 35024 33 48 and and CC 35024 33 49 Technology Technology NNP 35024 33 50 in in IN 35024 33 51 the the DT 35024 33 52 Smithsonian Smithsonian NNP 35024 33 53 Institution Institution NNP 35024 33 54 's 's POS 35024 33 55 Museum Museum NNP 35024 33 56 of of IN 35024 33 57 History History NNP 35024 33 58 and and CC 35024 33 59 Technology Technology NNP 35024 33 60 . . . 35024 33 61 _ _ NNP 35024 33 62 The the DT 35024 33 63 intensity intensity NN 35024 33 64 of of IN 35024 33 65 gravity gravity NN 35024 33 66 , , , 35024 33 67 or or CC 35024 33 68 the the DT 35024 33 69 acceleration acceleration NN 35024 33 70 of of IN 35024 33 71 a a DT 35024 33 72 freely freely RB 35024 33 73 falling fall VBG 35024 33 74 body body NN 35024 33 75 , , , 35024 33 76 is be VBZ 35024 33 77 an an DT 35024 33 78 important important JJ 35024 33 79 physical physical JJ 35024 33 80 quantity quantity NN 35024 33 81 for for IN 35024 33 82 the the DT 35024 33 83 several several JJ 35024 33 84 physical physical JJ 35024 33 85 sciences science NNS 35024 33 86 . . . 35024 34 1 The the DT 35024 34 2 intensity intensity NN 35024 34 3 of of IN 35024 34 4 gravity gravity NN 35024 34 5 determines determine VBZ 35024 34 6 the the DT 35024 34 7 weight weight NN 35024 34 8 of of IN 35024 34 9 a a DT 35024 34 10 standard standard JJ 35024 34 11 pound pound NN 35024 34 12 or or CC 35024 34 13 kilogram kilogram NN 35024 34 14 as as IN 35024 34 15 a a DT 35024 34 16 standard standard NN 35024 34 17 or or CC 35024 34 18 unit unit NN 35024 34 19 of of IN 35024 34 20 force force NN 35024 34 21 . . . 35024 35 1 In in IN 35024 35 2 physical physical JJ 35024 35 3 experiments experiment NNS 35024 35 4 , , , 35024 35 5 the the DT 35024 35 6 force force NN 35024 35 7 on on IN 35024 35 8 a a DT 35024 35 9 body body NN 35024 35 10 may may MD 35024 35 11 be be VB 35024 35 12 measured measure VBN 35024 35 13 by by IN 35024 35 14 determining determine VBG 35024 35 15 the the DT 35024 35 16 weight weight NN 35024 35 17 of of IN 35024 35 18 a a DT 35024 35 19 known know VBN 35024 35 20 mass mass NN 35024 35 21 which which WDT 35024 35 22 serves serve VBZ 35024 35 23 to to TO 35024 35 24 establish establish VB 35024 35 25 equilibrium equilibrium NN 35024 35 26 against against IN 35024 35 27 it -PRON- PRP 35024 35 28 . . . 35024 36 1 Thus thus RB 35024 36 2 , , , 35024 36 3 in in IN 35024 36 4 the the DT 35024 36 5 absolute absolute JJ 35024 36 6 determination determination NN 35024 36 7 of of IN 35024 36 8 the the DT 35024 36 9 ampere ampere NN 35024 36 10 with with IN 35024 36 11 a a DT 35024 36 12 current current JJ 35024 36 13 balance balance NN 35024 36 14 , , , 35024 36 15 the the DT 35024 36 16 force force NN 35024 36 17 between between IN 35024 36 18 two two CD 35024 36 19 coils coil NNS 35024 36 20 carrying carry VBG 35024 36 21 current current JJ 35024 36 22 is be VBZ 35024 36 23 balanced balance VBN 35024 36 24 by by IN 35024 36 25 the the DT 35024 36 26 earth earth NN 35024 36 27 's 's POS 35024 36 28 gravitational gravitational JJ 35024 36 29 force force NN 35024 36 30 upon upon IN 35024 36 31 a a DT 35024 36 32 body body NN 35024 36 33 of of IN 35024 36 34 determinable determinable JJ 35024 36 35 mass mass NN 35024 36 36 . . . 35024 37 1 The the DT 35024 37 2 intensity intensity NN 35024 37 3 of of IN 35024 37 4 gravity gravity NN 35024 37 5 enters enter VBZ 35024 37 6 into into IN 35024 37 7 determinations determination NNS 35024 37 8 of of IN 35024 37 9 the the DT 35024 37 10 size size NN 35024 37 11 of of IN 35024 37 12 the the DT 35024 37 13 earth earth NN 35024 37 14 from from IN 35024 37 15 the the DT 35024 37 16 angular angular JJ 35024 37 17 velocity velocity NN 35024 37 18 of of IN 35024 37 19 the the DT 35024 37 20 moon moon NN 35024 37 21 , , , 35024 37 22 its -PRON- PRP$ 35024 37 23 distance distance NN 35024 37 24 from from IN 35024 37 25 the the DT 35024 37 26 earth earth NN 35024 37 27 , , , 35024 37 28 and and CC 35024 37 29 Newton Newton NNP 35024 37 30 's 's POS 35024 37 31 inverse inverse JJ 35024 37 32 square square JJ 35024 37 33 law law NN 35024 37 34 of of IN 35024 37 35 gravitation gravitation NN 35024 37 36 and and CC 35024 37 37 the the DT 35024 37 38 laws law NNS 35024 37 39 of of IN 35024 37 40 motion motion NN 35024 37 41 . . . 35024 38 1 Prediction prediction NN 35024 38 2 of of IN 35024 38 3 the the DT 35024 38 4 motion motion NN 35024 38 5 of of IN 35024 38 6 an an DT 35024 38 7 artificial artificial JJ 35024 38 8 satellite satellite NN 35024 38 9 requires require VBZ 35024 38 10 an an DT 35024 38 11 accurate accurate JJ 35024 38 12 knowledge knowledge NN 35024 38 13 of of IN 35024 38 14 gravity gravity NN 35024 38 15 for for IN 35024 38 16 this this DT 35024 38 17 astronomical astronomical JJ 35024 38 18 problem problem NN 35024 38 19 . . . 35024 39 1 The the DT 35024 39 2 gravity gravity NN 35024 39 3 field field NN 35024 39 4 of of IN 35024 39 5 the the DT 35024 39 6 earth earth NN 35024 39 7 also also RB 35024 39 8 provides provide VBZ 35024 39 9 data datum NNS 35024 39 10 for for IN 35024 39 11 a a DT 35024 39 12 determination determination NN 35024 39 13 of of IN 35024 39 14 the the DT 35024 39 15 figure figure NN 35024 39 16 of of IN 35024 39 17 the the DT 35024 39 18 earth earth NN 35024 39 19 , , , 35024 39 20 or or CC 35024 39 21 geoid geoid NN 35024 39 22 , , , 35024 39 23 but but CC 35024 39 24 for for IN 35024 39 25 this this DT 35024 39 26 problem problem NN 35024 39 27 of of IN 35024 39 28 geodesy geodesy JJ 35024 39 29 relative relative JJ 35024 39 30 values value NNS 35024 39 31 of of IN 35024 39 32 gravity gravity NN 35024 39 33 are be VBP 35024 39 34 sufficient sufficient JJ 35024 39 35 . . . 35024 40 1 If if IN 35024 40 2 g g NN 35024 40 3 is be VBZ 35024 40 4 the the DT 35024 40 5 intensity intensity NN 35024 40 6 of of IN 35024 40 7 gravity gravity NN 35024 40 8 at at IN 35024 40 9 some some DT 35024 40 10 reference reference NN 35024 40 11 station station NN 35024 40 12 , , , 35024 40 13 and and CC 35024 40 14 [ [ -LRB- 35024 40 15 Delta]g Delta]g NNP 35024 40 16 is be VBZ 35024 40 17 the the DT 35024 40 18 difference difference NN 35024 40 19 between between IN 35024 40 20 intensities intensity NNS 35024 40 21 at at IN 35024 40 22 two two CD 35024 40 23 stations station NNS 35024 40 24 , , , 35024 40 25 the the DT 35024 40 26 values value NNS 35024 40 27 of of IN 35024 40 28 gravity gravity NN 35024 40 29 in in IN 35024 40 30 geodetic geodetic JJ 35024 40 31 calculations calculation NNS 35024 40 32 enter enter VBP 35024 40 33 as as IN 35024 40 34 ratios ratio NNS 35024 40 35 ( ( -LRB- 35024 40 36 [ [ -LRB- 35024 40 37 Delta]g)/g Delta]g)/g NNP 35024 40 38 over over IN 35024 40 39 the the DT 35024 40 40 surface surface NN 35024 40 41 of of IN 35024 40 42 the the DT 35024 40 43 earth earth NN 35024 40 44 . . . 35024 41 1 Gravimetric Gravimetric NNP 35024 41 2 investigations investigation NNS 35024 41 3 in in IN 35024 41 4 conjunction conjunction NN 35024 41 5 with with IN 35024 41 6 other other JJ 35024 41 7 forms form NNS 35024 41 8 of of IN 35024 41 9 geophysical geophysical JJ 35024 41 10 investigation investigation NN 35024 41 11 , , , 35024 41 12 such such JJ 35024 41 13 as as IN 35024 41 14 seismology seismology NN 35024 41 15 , , , 35024 41 16 furnish furnish JJ 35024 41 17 data datum NNS 35024 41 18 to to TO 35024 41 19 test test VB 35024 41 20 hypotheses hypothesis NNS 35024 41 21 concerning concern VBG 35024 41 22 the the DT 35024 41 23 internal internal JJ 35024 41 24 structure structure NN 35024 41 25 of of IN 35024 41 26 the the DT 35024 41 27 earth earth NN 35024 41 28 . . . 35024 42 1 Whether whether IN 35024 42 2 the the DT 35024 42 3 intensity intensity NN 35024 42 4 of of IN 35024 42 5 gravity gravity NN 35024 42 6 is be VBZ 35024 42 7 sought seek VBN 35024 42 8 in in IN 35024 42 9 absolute absolute JJ 35024 42 10 or or CC 35024 42 11 relative relative JJ 35024 42 12 measure measure NN 35024 42 13 , , , 35024 42 14 the the DT 35024 42 15 most most RBS 35024 42 16 widely widely RB 35024 42 17 used use VBN 35024 42 18 instrument instrument NN 35024 42 19 for for IN 35024 42 20 its -PRON- PRP$ 35024 42 21 determination determination NN 35024 42 22 since since IN 35024 42 23 the the DT 35024 42 24 creation creation NN 35024 42 25 of of IN 35024 42 26 classical classical JJ 35024 42 27 mechanics mechanic NNS 35024 42 28 has have VBZ 35024 42 29 been be VBN 35024 42 30 the the DT 35024 42 31 pendulum pendulum NN 35024 42 32 . . . 35024 43 1 In in IN 35024 43 2 recent recent JJ 35024 43 3 decades decade NNS 35024 43 4 , , , 35024 43 5 there there EX 35024 43 6 have have VBP 35024 43 7 been be VBN 35024 43 8 invented invent VBN 35024 43 9 gravity gravity NN 35024 43 10 meters meter NNS 35024 43 11 based base VBN 35024 43 12 upon upon IN 35024 43 13 the the DT 35024 43 14 principle principle NN 35024 43 15 of of IN 35024 43 16 the the DT 35024 43 17 spring spring NN 35024 43 18 , , , 35024 43 19 and and CC 35024 43 20 these these DT 35024 43 21 instruments instrument NNS 35024 43 22 have have VBP 35024 43 23 made make VBN 35024 43 24 possible possible JJ 35024 43 25 the the DT 35024 43 26 rapid rapid JJ 35024 43 27 determination determination NN 35024 43 28 of of IN 35024 43 29 relative relative JJ 35024 43 30 values value NNS 35024 43 31 of of IN 35024 43 32 gravity gravity NN 35024 43 33 to to IN 35024 43 34 a a DT 35024 43 35 high high JJ 35024 43 36 degree degree NN 35024 43 37 of of IN 35024 43 38 accuracy accuracy NN 35024 43 39 . . . 35024 44 1 The the DT 35024 44 2 gravity gravity NN 35024 44 3 meter meter NN 35024 44 4 , , , 35024 44 5 however however RB 35024 44 6 , , , 35024 44 7 must must MD 35024 44 8 be be VB 35024 44 9 calibrated calibrate VBN 35024 44 10 at at IN 35024 44 11 stations station NNS 35024 44 12 where where WRB 35024 44 13 the the DT 35024 44 14 absolute absolute JJ 35024 44 15 value value NN 35024 44 16 of of IN 35024 44 17 gravity gravity NN 35024 44 18 has have VBZ 35024 44 19 been be VBN 35024 44 20 determined determine VBN 35024 44 21 by by IN 35024 44 22 other other JJ 35024 44 23 means mean NNS 35024 44 24 if if IN 35024 44 25 absolute absolute JJ 35024 44 26 values value NNS 35024 44 27 are be VBP 35024 44 28 sought seek VBN 35024 44 29 . . . 35024 45 1 For for IN 35024 45 2 absolute absolute JJ 35024 45 3 determinations determination NNS 35024 45 4 of of IN 35024 45 5 gravity gravity NN 35024 45 6 , , , 35024 45 7 the the DT 35024 45 8 pendulum pendulum NN 35024 45 9 historically historically RB 35024 45 10 has have VBZ 35024 45 11 been be VBN 35024 45 12 the the DT 35024 45 13 principal principal JJ 35024 45 14 instrument instrument NN 35024 45 15 employed employ VBN 35024 45 16 . . . 35024 46 1 Although although IN 35024 46 2 alternative alternative JJ 35024 46 3 methods method NNS 35024 46 4 of of IN 35024 46 5 determining determine VBG 35024 46 6 absolute absolute JJ 35024 46 7 values value NNS 35024 46 8 of of IN 35024 46 9 gravity gravity NN 35024 46 10 are be VBP 35024 46 11 now now RB 35024 46 12 in in IN 35024 46 13 use use NN 35024 46 14 , , , 35024 46 15 the the DT 35024 46 16 pendulum pendulum NN 35024 46 17 retains retain VBZ 35024 46 18 its -PRON- PRP$ 35024 46 19 value value NN 35024 46 20 for for IN 35024 46 21 absolute absolute JJ 35024 46 22 determinations determination NNS 35024 46 23 , , , 35024 46 24 and and CC 35024 46 25 even even RB 35024 46 26 retains retain VBZ 35024 46 27 it -PRON- PRP 35024 46 28 for for IN 35024 46 29 relative relative JJ 35024 46 30 determinations determination NNS 35024 46 31 , , , 35024 46 32 as as IN 35024 46 33 is be VBZ 35024 46 34 exemplified exemplify VBN 35024 46 35 by by IN 35024 46 36 the the DT 35024 46 37 Cambridge Cambridge NNP 35024 46 38 Pendulum Pendulum NNP 35024 46 39 Apparatus Apparatus NNP 35024 46 40 and and CC 35024 46 41 that that DT 35024 46 42 of of IN 35024 46 43 the the DT 35024 46 44 Dominion Dominion NNP 35024 46 45 Observatory Observatory NNP 35024 46 46 at at IN 35024 46 47 Ottawa Ottawa NNP 35024 46 48 , , , 35024 46 49 Ontario Ontario NNP 35024 46 50 . . . 35024 47 1 The the DT 35024 47 2 pendulums pendulum NNS 35024 47 3 employed employ VBN 35024 47 4 for for IN 35024 47 5 absolute absolute JJ 35024 47 6 or or CC 35024 47 7 relative relative JJ 35024 47 8 determinations determination NNS 35024 47 9 of of IN 35024 47 10 gravity gravity NN 35024 47 11 have have VBP 35024 47 12 been be VBN 35024 47 13 of of IN 35024 47 14 two two CD 35024 47 15 basic basic JJ 35024 47 16 types type NNS 35024 47 17 . . . 35024 48 1 The the DT 35024 48 2 first first JJ 35024 48 3 form form NN 35024 48 4 of of IN 35024 48 5 pendulum pendulum NN 35024 48 6 used use VBN 35024 48 7 as as IN 35024 48 8 a a DT 35024 48 9 physical physical JJ 35024 48 10 instrument instrument NN 35024 48 11 consisted consist VBD 35024 48 12 of of IN 35024 48 13 a a DT 35024 48 14 weight weight NN 35024 48 15 suspended suspend VBN 35024 48 16 by by IN 35024 48 17 a a DT 35024 48 18 fiber fiber NN 35024 48 19 , , , 35024 48 20 cord cord NN 35024 48 21 , , , 35024 48 22 or or CC 35024 48 23 fine fine JJ 35024 48 24 wire wire NN 35024 48 25 , , , 35024 48 26 the the DT 35024 48 27 upper upper JJ 35024 48 28 end end NN 35024 48 29 of of IN 35024 48 30 which which WDT 35024 48 31 was be VBD 35024 48 32 attached attach VBN 35024 48 33 to to IN 35024 48 34 a a DT 35024 48 35 fixed fix VBN 35024 48 36 support support NN 35024 48 37 . . . 35024 49 1 Such such PDT 35024 49 2 a a DT 35024 49 3 pendulum pendulum NN 35024 49 4 may may MD 35024 49 5 be be VB 35024 49 6 called call VBN 35024 49 7 a a DT 35024 49 8 " " `` 35024 49 9 simple simple JJ 35024 49 10 " " '' 35024 49 11 pendulum pendulum NN 35024 49 12 ; ; : 35024 49 13 the the DT 35024 49 14 enclosure enclosure NN 35024 49 15 of of IN 35024 49 16 the the DT 35024 49 17 word word NN 35024 49 18 simple simple JJ 35024 49 19 by by IN 35024 49 20 quotation quotation NN 35024 49 21 marks mark NNS 35024 49 22 is be VBZ 35024 49 23 to to TO 35024 49 24 indicate indicate VB 35024 49 25 that that IN 35024 49 26 such such PDT 35024 49 27 a a DT 35024 49 28 pendulum pendulum NN 35024 49 29 is be VBZ 35024 49 30 an an DT 35024 49 31 approximation approximation NN 35024 49 32 to to IN 35024 49 33 a a DT 35024 49 34 simple simple JJ 35024 49 35 , , , 35024 49 36 or or CC 35024 49 37 mathematical mathematical JJ 35024 49 38 pendulum pendulum NN 35024 49 39 , , , 35024 49 40 a a DT 35024 49 41 conceptual conceptual JJ 35024 49 42 object object NN 35024 49 43 which which WDT 35024 49 44 consists consist VBZ 35024 49 45 of of IN 35024 49 46 a a DT 35024 49 47 mass mass JJ 35024 49 48 - - HYPH 35024 49 49 point point NN 35024 49 50 suspended suspend VBN 35024 49 51 by by IN 35024 49 52 a a DT 35024 49 53 weightless weightless JJ 35024 49 54 inextensible inextensible JJ 35024 49 55 cord cord NN 35024 49 56 . . . 35024 50 1 If if IN 35024 50 2 l l NN 35024 50 3 is be VBZ 35024 50 4 the the DT 35024 50 5 length length NN 35024 50 6 of of IN 35024 50 7 the the DT 35024 50 8 simple simple JJ 35024 50 9 pendulum pendulum NN 35024 50 10 , , , 35024 50 11 the the DT 35024 50 12 time time NN 35024 50 13 of of IN 35024 50 14 swing swing NN 35024 50 15 ( ( -LRB- 35024 50 16 half half JJ 35024 50 17 - - HYPH 35024 50 18 period period NN 35024 50 19 in in IN 35024 50 20 the the DT 35024 50 21 sense sense NN 35024 50 22 of of IN 35024 50 23 physics physics NN 35024 50 24 ) ) -RRB- 35024 50 25 for for IN 35024 50 26 vibrations vibration NNS 35024 50 27 of of IN 35024 50 28 infinitely infinitely RB 35024 50 29 small small JJ 35024 50 30 amplitude amplitude NN 35024 50 31 , , , 35024 50 32 as as IN 35024 50 33 derived derive VBN 35024 50 34 from from IN 35024 50 35 Newton Newton NNP 35024 50 36 's 's POS 35024 50 37 laws law NNS 35024 50 38 of of IN 35024 50 39 motion motion NN 35024 50 40 and and CC 35024 50 41 the the DT 35024 50 42 hypothesis hypothesis NN 35024 50 43 that that WDT 35024 50 44 weight weight NN 35024 50 45 is be VBZ 35024 50 46 proportional proportional JJ 35024 50 47 to to IN 35024 50 48 mass mass NN 35024 50 49 , , , 35024 50 50 is be VBZ 35024 50 51 T t NN 35024 50 52 = = SYM 35024 50 53 [ [ -LRB- 35024 50 54 pi][sqrt](l pi][sqrt](l NNP 35024 50 55 / / SYM 35024 50 56 g g NN 35024 50 57 ) ) -RRB- 35024 50 58 . . . 35024 51 1 The the DT 35024 51 2 second second JJ 35024 51 3 form form NN 35024 51 4 of of IN 35024 51 5 pendulum pendulum NN 35024 51 6 is be VBZ 35024 51 7 the the DT 35024 51 8 compound compound NN 35024 51 9 , , , 35024 51 10 or or CC 35024 51 11 physical physical JJ 35024 51 12 , , , 35024 51 13 pendulum pendulum NN 35024 51 14 . . . 35024 52 1 It -PRON- PRP 35024 52 2 consists consist VBZ 35024 52 3 of of IN 35024 52 4 an an DT 35024 52 5 extended extended JJ 35024 52 6 solid solid JJ 35024 52 7 body body NN 35024 52 8 which which WDT 35024 52 9 vibrates vibrate VBZ 35024 52 10 about about RB 35024 52 11 a a DT 35024 52 12 fixed fix VBN 35024 52 13 axis axi NNS 35024 52 14 under under IN 35024 52 15 the the DT 35024 52 16 action action NN 35024 52 17 of of IN 35024 52 18 the the DT 35024 52 19 weight weight NN 35024 52 20 of of IN 35024 52 21 the the DT 35024 52 22 body body NN 35024 52 23 . . . 35024 53 1 A a DT 35024 53 2 compound compound NN 35024 53 3 pendulum pendulum NN 35024 53 4 may may MD 35024 53 5 be be VB 35024 53 6 constituted constitute VBN 35024 53 7 to to TO 35024 53 8 oscillate oscillate VB 35024 53 9 about about RB 35024 53 10 one one CD 35024 53 11 axis axis RB 35024 53 12 only only RB 35024 53 13 , , , 35024 53 14 in in IN 35024 53 15 which which WDT 35024 53 16 case case NN 35024 53 17 it -PRON- PRP 35024 53 18 is be VBZ 35024 53 19 nonreversible nonreversible JJ 35024 53 20 and and CC 35024 53 21 applicable applicable JJ 35024 53 22 only only RB 35024 53 23 for for IN 35024 53 24 relative relative JJ 35024 53 25 measurements measurement NNS 35024 53 26 . . . 35024 54 1 Or or CC 35024 54 2 a a DT 35024 54 3 compound compound NN 35024 54 4 pendulum pendulum NN 35024 54 5 may may MD 35024 54 6 be be VB 35024 54 7 constituted constitute VBN 35024 54 8 to to TO 35024 54 9 oscillate oscillate VB 35024 54 10 about about RB 35024 54 11 two two CD 35024 54 12 axes axis NNS 35024 54 13 , , , 35024 54 14 in in IN 35024 54 15 which which WDT 35024 54 16 case case NN 35024 54 17 it -PRON- PRP 35024 54 18 is be VBZ 35024 54 19 reversible reversible JJ 35024 54 20 ( ( -LRB- 35024 54 21 or or CC 35024 54 22 " " `` 35024 54 23 convertible convertible JJ 35024 54 24 " " '' 35024 54 25 ) ) -RRB- 35024 54 26 and and CC 35024 54 27 may may MD 35024 54 28 be be VB 35024 54 29 used use VBN 35024 54 30 to to TO 35024 54 31 determine determine VB 35024 54 32 absolute absolute JJ 35024 54 33 values value NNS 35024 54 34 of of IN 35024 54 35 gravity gravity NN 35024 54 36 . . . 35024 55 1 Capt capt NN 35024 55 2 . . . 35024 56 1 Henry Henry NNP 35024 56 2 Kater Kater NNP 35024 56 3 , , , 35024 56 4 F.R.S. F.R.S. NNP 35024 56 5 , , , 35024 56 6 during during IN 35024 56 7 the the DT 35024 56 8 years year NNS 35024 56 9 1817 1817 CD 35024 56 10 - - SYM 35024 56 11 1818 1818 CD 35024 56 12 was be VBD 35024 56 13 the the DT 35024 56 14 first first JJ 35024 56 15 to to TO 35024 56 16 design design VB 35024 56 17 , , , 35024 56 18 construct construct VB 35024 56 19 , , , 35024 56 20 and and CC 35024 56 21 use use VB 35024 56 22 a a DT 35024 56 23 compound compound NN 35024 56 24 pendulum pendulum NN 35024 56 25 for for IN 35024 56 26 the the DT 35024 56 27 absolute absolute JJ 35024 56 28 determination determination NN 35024 56 29 of of IN 35024 56 30 gravity gravity NN 35024 56 31 . . . 35024 57 1 He -PRON- PRP 35024 57 2 constructed construct VBD 35024 57 3 a a DT 35024 57 4 convertible convertible JJ 35024 57 5 pendulum pendulum NN 35024 57 6 with with IN 35024 57 7 two two CD 35024 57 8 knife knife NN 35024 57 9 edges edge NNS 35024 57 10 and and CC 35024 57 11 with with IN 35024 57 12 it -PRON- PRP 35024 57 13 determined determine VBD 35024 57 14 the the DT 35024 57 15 absolute absolute JJ 35024 57 16 value value NN 35024 57 17 of of IN 35024 57 18 gravity gravity NN 35024 57 19 at at IN 35024 57 20 the the DT 35024 57 21 house house NN 35024 57 22 of of IN 35024 57 23 Henry Henry NNP 35024 57 24 Browne Browne NNP 35024 57 25 , , , 35024 57 26 F.R.S. F.R.S. NNP 35024 57 27 , , , 35024 57 28 in in IN 35024 57 29 Portland Portland NNP 35024 57 30 Place Place NNP 35024 57 31 , , , 35024 57 32 London London NNP 35024 57 33 . . . 35024 58 1 He -PRON- PRP 35024 58 2 then then RB 35024 58 3 constructed construct VBD 35024 58 4 a a DT 35024 58 5 similar similar JJ 35024 58 6 compound compound NN 35024 58 7 pendulum pendulum NN 35024 58 8 with with IN 35024 58 9 only only RB 35024 58 10 one one CD 35024 58 11 knife knife NN 35024 58 12 edge edge NN 35024 58 13 , , , 35024 58 14 and and CC 35024 58 15 swung swing VBD 35024 58 16 it -PRON- PRP 35024 58 17 to to TO 35024 58 18 determine determine VB 35024 58 19 relative relative JJ 35024 58 20 values value NNS 35024 58 21 of of IN 35024 58 22 gravity gravity NN 35024 58 23 at at IN 35024 58 24 a a DT 35024 58 25 number number NN 35024 58 26 of of IN 35024 58 27 stations station NNS 35024 58 28 in in IN 35024 58 29 the the DT 35024 58 30 British british JJ 35024 58 31 Isles Isles NNPS 35024 58 32 . . . 35024 59 1 The the DT 35024 59 2 19th 19th JJ 35024 59 3 century century NN 35024 59 4 witnessed witness VBD 35024 59 5 the the DT 35024 59 6 development development NN 35024 59 7 of of IN 35024 59 8 the the DT 35024 59 9 theory theory NN 35024 59 10 and and CC 35024 59 11 practice practice NN 35024 59 12 of of IN 35024 59 13 observations observation NNS 35024 59 14 with with IN 35024 59 15 pendulums pendulum NNS 35024 59 16 for for IN 35024 59 17 the the DT 35024 59 18 determination determination NN 35024 59 19 of of IN 35024 59 20 absolute absolute JJ 35024 59 21 and and CC 35024 59 22 relative relative JJ 35024 59 23 values value NNS 35024 59 24 of of IN 35024 59 25 gravity gravity NN 35024 59 26 . . . 35024 60 1 Galileo Galileo NNP 35024 60 2 , , , 35024 60 3 Huygens Huygens NNP 35024 60 4 , , , 35024 60 5 and and CC 35024 60 6 Newton Newton NNP 35024 60 7 The the DT 35024 60 8 pendulum pendulum NN 35024 60 9 has have VBZ 35024 60 10 been be VBN 35024 60 11 both both CC 35024 60 12 an an DT 35024 60 13 objective objective NN 35024 60 14 and and CC 35024 60 15 an an DT 35024 60 16 instrument instrument NN 35024 60 17 of of IN 35024 60 18 physical physical JJ 35024 60 19 investigation investigation NN 35024 60 20 since since IN 35024 60 21 the the DT 35024 60 22 foundations foundation NNS 35024 60 23 of of IN 35024 60 24 classical classical JJ 35024 60 25 mechanics mechanic NNS 35024 60 26 were be VBD 35024 60 27 fashioned fashion VBN 35024 60 28 in in IN 35024 60 29 the the DT 35024 60 30 17th 17th JJ 35024 60 31 century century NN 35024 60 32 . . . 35024 61 1 [ [ -LRB- 35024 61 2 1 1 LS 35024 61 3 ] ] -RRB- 35024 61 4 It -PRON- PRP 35024 61 5 is be VBZ 35024 61 6 tradition tradition NN 35024 61 7 that that IN 35024 61 8 the the DT 35024 61 9 youthful youthful JJ 35024 61 10 Galileo Galileo NNP 35024 61 11 discovered discover VBD 35024 61 12 that that IN 35024 61 13 the the DT 35024 61 14 period period NN 35024 61 15 of of IN 35024 61 16 oscillation oscillation NN 35024 61 17 of of IN 35024 61 18 a a DT 35024 61 19 pendulum pendulum NN 35024 61 20 is be VBZ 35024 61 21 constant constant JJ 35024 61 22 by by IN 35024 61 23 observations observation NNS 35024 61 24 of of IN 35024 61 25 the the DT 35024 61 26 swings swing NNS 35024 61 27 of of IN 35024 61 28 the the DT 35024 61 29 great great JJ 35024 61 30 lamp lamp NN 35024 61 31 suspended suspend VBN 35024 61 32 from from IN 35024 61 33 the the DT 35024 61 34 ceiling ceiling NN 35024 61 35 in in IN 35024 61 36 the the DT 35024 61 37 cathedral cathedral NN 35024 61 38 of of IN 35024 61 39 Pisa Pisa NNP 35024 61 40 . . . 35024 62 1 [ [ -LRB- 35024 62 2 2 2 LS 35024 62 3 ] ] -RRB- 35024 62 4 The the DT 35024 62 5 lamp lamp NN 35024 62 6 was be VBD 35024 62 7 only only RB 35024 62 8 a a DT 35024 62 9 rough rough JJ 35024 62 10 approximation approximation NN 35024 62 11 to to IN 35024 62 12 a a DT 35024 62 13 simple simple JJ 35024 62 14 pendulum pendulum NN 35024 62 15 , , , 35024 62 16 but but CC 35024 62 17 Galileo Galileo NNP 35024 62 18 later later RB 35024 62 19 performed perform VBD 35024 62 20 more more RBR 35024 62 21 accurate accurate JJ 35024 62 22 experiments experiment NNS 35024 62 23 with with IN 35024 62 24 a a DT 35024 62 25 " " `` 35024 62 26 simple simple JJ 35024 62 27 " " '' 35024 62 28 pendulum pendulum NN 35024 62 29 which which WDT 35024 62 30 consisted consist VBD 35024 62 31 of of IN 35024 62 32 a a DT 35024 62 33 heavy heavy JJ 35024 62 34 ball ball NN 35024 62 35 suspended suspend VBN 35024 62 36 by by IN 35024 62 37 a a DT 35024 62 38 cord cord NN 35024 62 39 . . . 35024 63 1 In in IN 35024 63 2 an an DT 35024 63 3 experiment experiment NN 35024 63 4 designed design VBN 35024 63 5 to to TO 35024 63 6 confirm confirm VB 35024 63 7 his -PRON- PRP$ 35024 63 8 laws law NNS 35024 63 9 of of IN 35024 63 10 falling fall VBG 35024 63 11 bodies body NNS 35024 63 12 , , , 35024 63 13 Galileo Galileo NNP 35024 63 14 lifted lift VBD 35024 63 15 the the DT 35024 63 16 ball ball NN 35024 63 17 to to IN 35024 63 18 the the DT 35024 63 19 level level NN 35024 63 20 of of IN 35024 63 21 a a DT 35024 63 22 given give VBN 35024 63 23 altitude altitude NN 35024 63 24 and and CC 35024 63 25 released release VBD 35024 63 26 it -PRON- PRP 35024 63 27 . . . 35024 64 1 The the DT 35024 64 2 ball ball NN 35024 64 3 ascended ascend VBD 35024 64 4 to to IN 35024 64 5 the the DT 35024 64 6 same same JJ 35024 64 7 level level NN 35024 64 8 on on IN 35024 64 9 the the DT 35024 64 10 other other JJ 35024 64 11 side side NN 35024 64 12 of of IN 35024 64 13 the the DT 35024 64 14 vertical vertical JJ 35024 64 15 equilibrium equilibrium NN 35024 64 16 position position NN 35024 64 17 and and CC 35024 64 18 thereby thereby RB 35024 64 19 confirmed confirm VBD 35024 64 20 a a DT 35024 64 21 prediction prediction NN 35024 64 22 from from IN 35024 64 23 the the DT 35024 64 24 laws law NNS 35024 64 25 . . . 35024 65 1 Galileo Galileo NNP 35024 65 2 also also RB 35024 65 3 discovered discover VBD 35024 65 4 that that IN 35024 65 5 the the DT 35024 65 6 period period NN 35024 65 7 of of IN 35024 65 8 vibration vibration NN 35024 65 9 of of IN 35024 65 10 a a DT 35024 65 11 " " `` 35024 65 12 simple simple JJ 35024 65 13 " " '' 35024 65 14 pendulum pendulum JJ 35024 65 15 varies varie NNS 35024 65 16 as as IN 35024 65 17 the the DT 35024 65 18 square square JJ 35024 65 19 root root NN 35024 65 20 of of IN 35024 65 21 its -PRON- PRP$ 35024 65 22 length length NN 35024 65 23 , , , 35024 65 24 a a DT 35024 65 25 result result NN 35024 65 26 which which WDT 35024 65 27 is be VBZ 35024 65 28 expressed express VBN 35024 65 29 by by IN 35024 65 30 the the DT 35024 65 31 formula formula NN 35024 65 32 for for IN 35024 65 33 the the DT 35024 65 34 time time NN 35024 65 35 of of IN 35024 65 36 swing swing NN 35024 65 37 of of IN 35024 65 38 the the DT 35024 65 39 ideal ideal JJ 35024 65 40 simple simple JJ 35024 65 41 pendulum pendulum NN 35024 65 42 . . . 35024 66 1 He -PRON- PRP 35024 66 2 also also RB 35024 66 3 used use VBD 35024 66 4 a a DT 35024 66 5 pendulum pendulum NN 35024 66 6 to to TO 35024 66 7 measure measure VB 35024 66 8 lapse lapse NN 35024 66 9 of of IN 35024 66 10 time time NN 35024 66 11 , , , 35024 66 12 and and CC 35024 66 13 he -PRON- PRP 35024 66 14 designed design VBD 35024 66 15 a a DT 35024 66 16 pendulum pendulum NN 35024 66 17 clock clock NN 35024 66 18 . . . 35024 67 1 Galileo Galileo NNP 35024 67 2 's 's POS 35024 67 3 experimental experimental JJ 35024 67 4 results result NNS 35024 67 5 are be VBP 35024 67 6 important important JJ 35024 67 7 historically historically RB 35024 67 8 , , , 35024 67 9 but but CC 35024 67 10 have have VBP 35024 67 11 required require VBN 35024 67 12 correction correction NN 35024 67 13 in in IN 35024 67 14 the the DT 35024 67 15 light light NN 35024 67 16 of of IN 35024 67 17 subsequent subsequent JJ 35024 67 18 measurements measurement NNS 35024 67 19 of of IN 35024 67 20 greater great JJR 35024 67 21 precision precision NN 35024 67 22 . . . 35024 68 1 Mersenne Mersenne NNS 35024 68 2 in in IN 35024 68 3 1644 1644 CD 35024 68 4 made make VBD 35024 68 5 the the DT 35024 68 6 first first JJ 35024 68 7 determination determination NN 35024 68 8 of of IN 35024 68 9 the the DT 35024 68 10 length length NN 35024 68 11 of of IN 35024 68 12 the the DT 35024 68 13 seconds second NNS 35024 68 14 pendulum,[3 pendulum,[3 JJ 35024 68 15 ] ] -RRB- 35024 68 16 that that RB 35024 68 17 is is RB 35024 68 18 , , , 35024 68 19 the the DT 35024 68 20 length length NN 35024 68 21 of of IN 35024 68 22 a a DT 35024 68 23 simple simple JJ 35024 68 24 pendulum pendulum NN 35024 68 25 that that WDT 35024 68 26 beats beat VBZ 35024 68 27 seconds second NNS 35024 68 28 ( ( -LRB- 35024 68 29 half half JJ 35024 68 30 - - HYPH 35024 68 31 period period NN 35024 68 32 in in IN 35024 68 33 the the DT 35024 68 34 sense sense NN 35024 68 35 of of IN 35024 68 36 physics physics NN 35024 68 37 ) ) -RRB- 35024 68 38 . . . 35024 69 1 Subsequently subsequently RB 35024 69 2 , , , 35024 69 3 he -PRON- PRP 35024 69 4 proposed propose VBD 35024 69 5 the the DT 35024 69 6 problem problem NN 35024 69 7 to to TO 35024 69 8 determine determine VB 35024 69 9 the the DT 35024 69 10 length length NN 35024 69 11 of of IN 35024 69 12 the the DT 35024 69 13 simple simple JJ 35024 69 14 pendulum pendulum NN 35024 69 15 equivalent equivalent JJ 35024 69 16 in in IN 35024 69 17 period period NN 35024 69 18 to to IN 35024 69 19 a a DT 35024 69 20 given give VBN 35024 69 21 compound compound NN 35024 69 22 pendulum pendulum NN 35024 69 23 . . . 35024 70 1 This this DT 35024 70 2 problem problem NN 35024 70 3 was be VBD 35024 70 4 solved solve VBN 35024 70 5 by by IN 35024 70 6 Huygens Huygens NNP 35024 70 7 , , , 35024 70 8 who who WP 35024 70 9 in in IN 35024 70 10 his -PRON- PRP$ 35024 70 11 famous famous JJ 35024 70 12 work work NN 35024 70 13 _ _ NNP 35024 70 14 Horologium Horologium NNP 35024 70 15 oscillatorium oscillatorium NN 35024 70 16 _ _ NNP 35024 70 17 ... ... : 35024 70 18 ( ( -LRB- 35024 70 19 1673 1673 CD 35024 70 20 ) ) -RRB- 35024 70 21 set set VBD 35024 70 22 forth forth RP 35024 70 23 the the DT 35024 70 24 theory theory NN 35024 70 25 of of IN 35024 70 26 the the DT 35024 70 27 compound compound NN 35024 70 28 pendulum pendulum NN 35024 70 29 . . . 35024 71 1 [ [ -LRB- 35024 71 2 4 4 CD 35024 71 3 ] ] -RRB- 35024 71 4 Huygens huygen NNS 35024 71 5 derived derive VBD 35024 71 6 a a DT 35024 71 7 theorem theorem NN 35024 71 8 which which WDT 35024 71 9 has have VBZ 35024 71 10 provided provide VBN 35024 71 11 the the DT 35024 71 12 basis basis NN 35024 71 13 for for IN 35024 71 14 the the DT 35024 71 15 employment employment NN 35024 71 16 of of IN 35024 71 17 the the DT 35024 71 18 reversible reversible JJ 35024 71 19 compound compound NN 35024 71 20 pendulum pendulum NN 35024 71 21 for for IN 35024 71 22 the the DT 35024 71 23 absolute absolute JJ 35024 71 24 determination determination NN 35024 71 25 of of IN 35024 71 26 the the DT 35024 71 27 intensity intensity NN 35024 71 28 of of IN 35024 71 29 gravity gravity NN 35024 71 30 . . . 35024 72 1 The the DT 35024 72 2 theorem theorem NN 35024 72 3 is be VBZ 35024 72 4 that that IN 35024 72 5 a a DT 35024 72 6 given give VBN 35024 72 7 compound compound NN 35024 72 8 pendulum pendulum NN 35024 72 9 possesses possesse NNS 35024 72 10 conjugate conjugate VBP 35024 72 11 points point NNS 35024 72 12 on on IN 35024 72 13 opposite opposite JJ 35024 72 14 sides side NNS 35024 72 15 of of IN 35024 72 16 the the DT 35024 72 17 center center NN 35024 72 18 of of IN 35024 72 19 gravity gravity NN 35024 72 20 ; ; : 35024 72 21 about about IN 35024 72 22 these these DT 35024 72 23 points point NNS 35024 72 24 , , , 35024 72 25 the the DT 35024 72 26 periods period NNS 35024 72 27 of of IN 35024 72 28 oscillation oscillation NN 35024 72 29 are be VBP 35024 72 30 the the DT 35024 72 31 same same JJ 35024 72 32 . . . 35024 73 1 For for IN 35024 73 2 each each DT 35024 73 3 of of IN 35024 73 4 these these DT 35024 73 5 points point NNS 35024 73 6 as as IN 35024 73 7 center center NN 35024 73 8 of of IN 35024 73 9 suspension suspension NN 35024 73 10 the the DT 35024 73 11 other other JJ 35024 73 12 point point NN 35024 73 13 is be VBZ 35024 73 14 the the DT 35024 73 15 center center NN 35024 73 16 of of IN 35024 73 17 oscillation oscillation NN 35024 73 18 , , , 35024 73 19 and and CC 35024 73 20 the the DT 35024 73 21 distance distance NN 35024 73 22 between between IN 35024 73 23 them -PRON- PRP 35024 73 24 is be VBZ 35024 73 25 the the DT 35024 73 26 length length NN 35024 73 27 of of IN 35024 73 28 the the DT 35024 73 29 equivalent equivalent JJ 35024 73 30 simple simple JJ 35024 73 31 pendulum pendulum NN 35024 73 32 . . . 35024 74 1 Earlier early RBR 35024 74 2 , , , 35024 74 3 in in IN 35024 74 4 1657 1657 CD 35024 74 5 , , , 35024 74 6 Huygens Huygens NNP 35024 74 7 independently independently RB 35024 74 8 had have VBD 35024 74 9 invented invent VBN 35024 74 10 and and CC 35024 74 11 patented patent VBN 35024 74 12 the the DT 35024 74 13 pendulum pendulum NN 35024 74 14 clock clock NN 35024 74 15 , , , 35024 74 16 which which WDT 35024 74 17 rapidly rapidly RB 35024 74 18 came come VBD 35024 74 19 into into IN 35024 74 20 use use NN 35024 74 21 for for IN 35024 74 22 the the DT 35024 74 23 measurement measurement NN 35024 74 24 of of IN 35024 74 25 time time NN 35024 74 26 . . . 35024 75 1 Huygens huygen NNS 35024 75 2 also also RB 35024 75 3 created create VBD 35024 75 4 the the DT 35024 75 5 theory theory NN 35024 75 6 of of IN 35024 75 7 centripetal centripetal JJ 35024 75 8 force force NN 35024 75 9 which which WDT 35024 75 10 made make VBD 35024 75 11 it -PRON- PRP 35024 75 12 possible possible JJ 35024 75 13 to to TO 35024 75 14 calculate calculate VB 35024 75 15 the the DT 35024 75 16 effect effect NN 35024 75 17 of of IN 35024 75 18 the the DT 35024 75 19 rotation rotation NN 35024 75 20 of of IN 35024 75 21 the the DT 35024 75 22 earth earth NN 35024 75 23 upon upon IN 35024 75 24 the the DT 35024 75 25 observed observed JJ 35024 75 26 value value NN 35024 75 27 of of IN 35024 75 28 gravity gravity NN 35024 75 29 . . . 35024 76 1 The the DT 35024 76 2 theory theory NN 35024 76 3 of of IN 35024 76 4 the the DT 35024 76 5 gravity gravity NN 35024 76 6 field field NN 35024 76 7 of of IN 35024 76 8 the the DT 35024 76 9 earth earth NN 35024 76 10 was be VBD 35024 76 11 founded found VBN 35024 76 12 upon upon IN 35024 76 13 the the DT 35024 76 14 laws law NNS 35024 76 15 of of IN 35024 76 16 motion motion NN 35024 76 17 and and CC 35024 76 18 the the DT 35024 76 19 law law NN 35024 76 20 of of IN 35024 76 21 gravitation gravitation NN 35024 76 22 by by IN 35024 76 23 Isaac Isaac NNP 35024 76 24 Newton Newton NNP 35024 76 25 in in IN 35024 76 26 his -PRON- PRP$ 35024 76 27 famous famous JJ 35024 76 28 _ _ NNP 35024 76 29 Principia Principia NNP 35024 76 30 _ _ NNP 35024 76 31 ( ( -LRB- 35024 76 32 1687 1687 CD 35024 76 33 ) ) -RRB- 35024 76 34 . . . 35024 77 1 It -PRON- PRP 35024 77 2 follows follow VBZ 35024 77 3 from from IN 35024 77 4 the the DT 35024 77 5 Newtonian newtonian JJ 35024 77 6 theory theory NN 35024 77 7 of of IN 35024 77 8 gravitation gravitation NN 35024 77 9 that that IN 35024 77 10 the the DT 35024 77 11 acceleration acceleration NN 35024 77 12 of of IN 35024 77 13 gravity gravity NN 35024 77 14 as as IN 35024 77 15 determined determine VBN 35024 77 16 on on IN 35024 77 17 the the DT 35024 77 18 surface surface NN 35024 77 19 of of IN 35024 77 20 the the DT 35024 77 21 earth earth NN 35024 77 22 is be VBZ 35024 77 23 the the DT 35024 77 24 resultant resultant NN 35024 77 25 of of IN 35024 77 26 two two CD 35024 77 27 factors factor NNS 35024 77 28 : : : 35024 77 29 the the DT 35024 77 30 principal principal JJ 35024 77 31 factor factor NN 35024 77 32 is be VBZ 35024 77 33 the the DT 35024 77 34 gravitational gravitational JJ 35024 77 35 attraction attraction NN 35024 77 36 of of IN 35024 77 37 the the DT 35024 77 38 earth earth NN 35024 77 39 upon upon IN 35024 77 40 bodies body NNS 35024 77 41 , , , 35024 77 42 and and CC 35024 77 43 the the DT 35024 77 44 subsidiary subsidiary NN 35024 77 45 factor factor NN 35024 77 46 is be VBZ 35024 77 47 the the DT 35024 77 48 effect effect NN 35024 77 49 of of IN 35024 77 50 the the DT 35024 77 51 rotation rotation NN 35024 77 52 of of IN 35024 77 53 the the DT 35024 77 54 earth earth NN 35024 77 55 . . . 35024 78 1 A a DT 35024 78 2 body body NN 35024 78 3 at at IN 35024 78 4 rest rest NN 35024 78 5 on on IN 35024 78 6 the the DT 35024 78 7 surface surface NN 35024 78 8 of of IN 35024 78 9 the the DT 35024 78 10 earth earth NN 35024 78 11 requires require VBZ 35024 78 12 some some DT 35024 78 13 of of IN 35024 78 14 the the DT 35024 78 15 gravitational gravitational JJ 35024 78 16 attraction attraction NN 35024 78 17 for for IN 35024 78 18 the the DT 35024 78 19 centripetal centripetal JJ 35024 78 20 acceleration acceleration NN 35024 78 21 of of IN 35024 78 22 the the DT 35024 78 23 body body NN 35024 78 24 as as IN 35024 78 25 it -PRON- PRP 35024 78 26 is be VBZ 35024 78 27 carried carry VBN 35024 78 28 in in IN 35024 78 29 a a DT 35024 78 30 circle circle NN 35024 78 31 with with IN 35024 78 32 constant constant JJ 35024 78 33 speed speed NN 35024 78 34 by by IN 35024 78 35 the the DT 35024 78 36 rotation rotation NN 35024 78 37 of of IN 35024 78 38 the the DT 35024 78 39 earth earth NN 35024 78 40 about about IN 35024 78 41 its -PRON- PRP$ 35024 78 42 axis axis NN 35024 78 43 . . . 35024 79 1 If if IN 35024 79 2 the the DT 35024 79 3 rotating rotate VBG 35024 79 4 earth earth NN 35024 79 5 is be VBZ 35024 79 6 used use VBN 35024 79 7 as as IN 35024 79 8 a a DT 35024 79 9 frame frame NN 35024 79 10 of of IN 35024 79 11 reference reference NN 35024 79 12 , , , 35024 79 13 the the DT 35024 79 14 effect effect NN 35024 79 15 of of IN 35024 79 16 the the DT 35024 79 17 rotation rotation NN 35024 79 18 is be VBZ 35024 79 19 expressed express VBN 35024 79 20 as as IN 35024 79 21 a a DT 35024 79 22 centrifugal centrifugal JJ 35024 79 23 force force NN 35024 79 24 which which WDT 35024 79 25 acts act VBZ 35024 79 26 to to TO 35024 79 27 diminish diminish VB 35024 79 28 the the DT 35024 79 29 observed observed JJ 35024 79 30 intensity intensity NN 35024 79 31 of of IN 35024 79 32 gravity gravity NN 35024 79 33 . . . 35024 80 1 * * NFP 35024 80 2 * * NFP 35024 80 3 * * NFP 35024 80 4 * * NFP 35024 80 5 * * NFP 35024 80 6 GLOSSARY GLOSSARY NNS 35024 80 7 OF of IN 35024 80 8 GRAVITY GRAVITY NNP 35024 80 9 TERMINOLOGY TERMINOLOGY NNP 35024 80 10 ABSOLUTE ABSOLUTE NNP 35024 80 11 GRAVITY GRAVITY NNP 35024 80 12 : : : 35024 80 13 the the DT 35024 80 14 value value NN 35024 80 15 of of IN 35024 80 16 the the DT 35024 80 17 acceleration acceleration NN 35024 80 18 of of IN 35024 80 19 gravity gravity NN 35024 80 20 , , , 35024 80 21 also also RB 35024 80 22 expressed express VBN 35024 80 23 by by IN 35024 80 24 the the DT 35024 80 25 length length NN 35024 80 26 of of IN 35024 80 27 the the DT 35024 80 28 seconds second NNS 35024 80 29 pendulum pendulum NN 35024 80 30 . . . 35024 81 1 RELATIVE relative JJ 35024 81 2 GRAVITY GRAVITY NNP 35024 81 3 : : : 35024 81 4 the the DT 35024 81 5 value value NN 35024 81 6 of of IN 35024 81 7 the the DT 35024 81 8 acceleration acceleration NN 35024 81 9 of of IN 35024 81 10 gravity gravity NN 35024 81 11 relative relative JJ 35024 81 12 to to IN 35024 81 13 the the DT 35024 81 14 value value NN 35024 81 15 at at IN 35024 81 16 some some DT 35024 81 17 standard standard JJ 35024 81 18 point point NN 35024 81 19 . . . 35024 82 1 SIMPLE simple JJ 35024 82 2 PENDULUM PENDULUM NNP 35024 82 3 : : : 35024 82 4 see see VB 35024 82 5 theoretical theoretical JJ 35024 82 6 pendulum pendulum NN 35024 82 7 . . . 35024 83 1 THEORETICAL theoretical JJ 35024 83 2 PENDULUM PENDULUM NNP 35024 83 3 : : : 35024 83 4 a a DT 35024 83 5 heavy heavy JJ 35024 83 6 bob bob NN 35024 83 7 ( ( -LRB- 35024 83 8 point point NN 35024 83 9 - - HYPH 35024 83 10 mass mass NN 35024 83 11 ) ) -RRB- 35024 83 12 at at IN 35024 83 13 the the DT 35024 83 14 end end NN 35024 83 15 of of IN 35024 83 16 a a DT 35024 83 17 weightless weightless JJ 35024 83 18 rod rod NN 35024 83 19 . . . 35024 84 1 SECONDS second NNS 35024 84 2 PENDULUM PENDULUM NNP 35024 84 3 : : : 35024 84 4 a a DT 35024 84 5 theoretical theoretical JJ 35024 84 6 or or CC 35024 84 7 simple simple JJ 35024 84 8 pendulum pendulum NN 35024 84 9 of of IN 35024 84 10 such such JJ 35024 84 11 length length NN 35024 84 12 that that WDT 35024 84 13 its -PRON- PRP$ 35024 84 14 time time NN 35024 84 15 of of IN 35024 84 16 swing swing NN 35024 84 17 ( ( -LRB- 35024 84 18 half half JJ 35024 84 19 - - HYPH 35024 84 20 period period NN 35024 84 21 ) ) -RRB- 35024 84 22 is be VBZ 35024 84 23 one one CD 35024 84 24 second second NN 35024 84 25 . . . 35024 85 1 ( ( -LRB- 35024 85 2 This this DT 35024 85 3 length length NN 35024 85 4 is be VBZ 35024 85 5 about about RB 35024 85 6 one one CD 35024 85 7 meter meter NN 35024 85 8 . . . 35024 85 9 ) ) -RRB- 35024 86 1 GRAVITY GRAVITY NNP 35024 86 2 PENDULUM PENDULUM NNS 35024 86 3 : : : 35024 86 4 a a DT 35024 86 5 precisely precisely RB 35024 86 6 made make VBN 35024 86 7 pendulum pendulum NN 35024 86 8 used use VBN 35024 86 9 for for IN 35024 86 10 the the DT 35024 86 11 measurement measurement NN 35024 86 12 of of IN 35024 86 13 gravity gravity NN 35024 86 14 . . . 35024 87 1 COMPOUND compound JJ 35024 87 2 PENDULUM PENDULUM NNS 35024 87 3 : : : 35024 87 4 a a DT 35024 87 5 pendulum pendulum NN 35024 87 6 in in IN 35024 87 7 which which WDT 35024 87 8 the the DT 35024 87 9 supporting support VBG 35024 87 10 rod rod NN 35024 87 11 is be VBZ 35024 87 12 not not RB 35024 87 13 weightless weightless JJ 35024 87 14 ; ; : 35024 87 15 in in IN 35024 87 16 other other JJ 35024 87 17 words word NNS 35024 87 18 , , , 35024 87 19 any any DT 35024 87 20 actual actual JJ 35024 87 21 pendulum pendulum NN 35024 87 22 . . . 35024 88 1 CONVERTIBLE CONVERTIBLE NNP 35024 88 2 PENDULUM PENDULUM NNP 35024 88 3 : : : 35024 88 4 a a DT 35024 88 5 compound compound NN 35024 88 6 pendulum pendulum NN 35024 88 7 having have VBG 35024 88 8 knife knife NN 35024 88 9 edges edge NNS 35024 88 10 at at IN 35024 88 11 different different JJ 35024 88 12 distances distance NNS 35024 88 13 from from IN 35024 88 14 the the DT 35024 88 15 center center NN 35024 88 16 of of IN 35024 88 17 gravity gravity NN 35024 88 18 . . . 35024 89 1 Huygens huygen NNS 35024 89 2 demonstrated demonstrate VBD 35024 89 3 ( ( -LRB- 35024 89 4 1673 1673 CD 35024 89 5 ) ) -RRB- 35024 89 6 that that IN 35024 89 7 if if IN 35024 89 8 such such PDT 35024 89 9 a a DT 35024 89 10 pendulum pendulum NN 35024 89 11 were be VBD 35024 89 12 to to TO 35024 89 13 swing swing VB 35024 89 14 with with IN 35024 89 15 equal equal JJ 35024 89 16 periods period NNS 35024 89 17 from from IN 35024 89 18 either either DT 35024 89 19 knife knife NN 35024 89 20 edge edge NN 35024 89 21 , , , 35024 89 22 the the DT 35024 89 23 distance distance NN 35024 89 24 between between IN 35024 89 25 those those DT 35024 89 26 knife knife NN 35024 89 27 edges edge NNS 35024 89 28 would would MD 35024 89 29 be be VB 35024 89 30 equal equal JJ 35024 89 31 to to IN 35024 89 32 the the DT 35024 89 33 length length NN 35024 89 34 of of IN 35024 89 35 a a DT 35024 89 36 theoretical theoretical JJ 35024 89 37 or or CC 35024 89 38 simple simple JJ 35024 89 39 pendulum pendulum NN 35024 89 40 of of IN 35024 89 41 the the DT 35024 89 42 same same JJ 35024 89 43 period period NN 35024 89 44 . . . 35024 90 1 REVERSIBLE reversible NN 35024 90 2 PENDULUM PENDULUM NNP 35024 90 3 : : : 35024 90 4 a a DT 35024 90 5 convertible convertible JJ 35024 90 6 pendulum pendulum NN 35024 90 7 which which WDT 35024 90 8 is be VBZ 35024 90 9 also also RB 35024 90 10 symmetrical symmetrical JJ 35024 90 11 in in IN 35024 90 12 form form NN 35024 90 13 . . . 35024 91 1 INVARIABLE invariable JJ 35024 91 2 PENDULUM PENDULUM NNS 35024 91 3 : : : 35024 91 4 a a DT 35024 91 5 compound compound NN 35024 91 6 pendulum pendulum NN 35024 91 7 with with IN 35024 91 8 only only RB 35024 91 9 one one CD 35024 91 10 knife knife NN 35024 91 11 edge edge NN 35024 91 12 , , , 35024 91 13 used use VBN 35024 91 14 for for IN 35024 91 15 relative relative JJ 35024 91 16 measurement measurement NN 35024 91 17 of of IN 35024 91 18 gravity gravity NN 35024 91 19 . . . 35024 92 1 * * NFP 35024 92 2 * * NFP 35024 92 3 * * NFP 35024 92 4 * * NFP 35024 92 5 * * NFP 35024 92 6 From from IN 35024 92 7 Newton Newton NNP 35024 92 8 's 's POS 35024 92 9 laws law NNS 35024 92 10 of of IN 35024 92 11 motion motion NN 35024 92 12 and and CC 35024 92 13 the the DT 35024 92 14 hypothesis hypothesis NN 35024 92 15 that that WDT 35024 92 16 weight weight NN 35024 92 17 is be VBZ 35024 92 18 proportional proportional JJ 35024 92 19 to to IN 35024 92 20 mass mass NNP 35024 92 21 , , , 35024 92 22 the the DT 35024 92 23 formula formula NN 35024 92 24 for for IN 35024 92 25 the the DT 35024 92 26 half half JJ 35024 92 27 - - HYPH 35024 92 28 period period NN 35024 92 29 of of IN 35024 92 30 a a DT 35024 92 31 simple simple JJ 35024 92 32 pendulum pendulum NN 35024 92 33 is be VBZ 35024 92 34 given give VBN 35024 92 35 by by IN 35024 92 36 T t NN 35024 92 37 = = SYM 35024 92 38 [ [ -LRB- 35024 92 39 pi][sqrt](l pi][sqrt](l NNP 35024 92 40 / / SYM 35024 92 41 g g NN 35024 92 42 ) ) -RRB- 35024 92 43 . . . 35024 93 1 If if IN 35024 93 2 a a DT 35024 93 3 simple simple JJ 35024 93 4 pendulum pendulum NN 35024 93 5 beats beat NNS 35024 93 6 seconds second NNS 35024 93 7 , , , 35024 93 8 1 1 CD 35024 93 9 = = SYM 35024 93 10 [ [ -LRB- 35024 93 11 pi][sqrt]([lambda]/g pi][sqrt]([lambda]/g NN 35024 93 12 ) ) -RRB- 35024 93 13 , , , 35024 93 14 where where WRB 35024 93 15 [ [ -LRB- 35024 93 16 lambda lambda NN 35024 93 17 ] ] -RRB- 35024 93 18 is be VBZ 35024 93 19 the the DT 35024 93 20 length length NN 35024 93 21 of of IN 35024 93 22 the the DT 35024 93 23 seconds second NNS 35024 93 24 pendulum pendulum NN 35024 93 25 . . . 35024 94 1 From from IN 35024 94 2 T t NN 35024 94 3 = = NFP 35024 94 4 [ [ -LRB- 35024 94 5 pi][sqrt](l pi][sqrt](l NNP 35024 94 6 / / SYM 35024 94 7 g g NN 35024 94 8 ) ) -RRB- 35024 94 9 and and CC 35024 94 10 1 1 CD 35024 94 11 = = SYM 35024 94 12 [ [ -LRB- 35024 94 13 pi][sqrt]([lambda]/g pi][sqrt]([lambda]/g NN 35024 94 14 ) ) -RRB- 35024 94 15 , , , 35024 94 16 it -PRON- PRP 35024 94 17 follows follow VBZ 35024 94 18 that that IN 35024 94 19 [ [ -LRB- 35024 94 20 lambda lambda NN 35024 94 21 ] ] -RRB- 35024 94 22 = = SYM 35024 94 23 l l NNP 35024 94 24 / / SYM 35024 94 25 T^{2 T^{2 NNP 35024 94 26 } } -RRB- 35024 94 27 . . . 35024 95 1 Then then RB 35024 95 2 g g NN 35024 95 3 = = NFP 35024 95 4 [ [ -LRB- 35024 95 5 pi]^{2}[lambda pi]^{2}[lambda NN 35024 95 6 ] ] -RRB- 35024 95 7 . . . 35024 96 1 Thus thus RB 35024 96 2 , , , 35024 96 3 the the DT 35024 96 4 intensity intensity NN 35024 96 5 of of IN 35024 96 6 gravity gravity NN 35024 96 7 can can MD 35024 96 8 be be VB 35024 96 9 expressed express VBN 35024 96 10 in in IN 35024 96 11 terms term NNS 35024 96 12 of of IN 35024 96 13 the the DT 35024 96 14 length length NN 35024 96 15 of of IN 35024 96 16 the the DT 35024 96 17 seconds second NNS 35024 96 18 pendulum pendulum NN 35024 96 19 , , , 35024 96 20 as as RB 35024 96 21 well well RB 35024 96 22 as as IN 35024 96 23 by by IN 35024 96 24 the the DT 35024 96 25 acceleration acceleration NN 35024 96 26 of of IN 35024 96 27 a a DT 35024 96 28 freely freely RB 35024 96 29 falling fall VBG 35024 96 30 body body NN 35024 96 31 . . . 35024 97 1 During during IN 35024 97 2 the the DT 35024 97 3 19th 19th JJ 35024 97 4 century century NN 35024 97 5 , , , 35024 97 6 gravity gravity NN 35024 97 7 usually usually RB 35024 97 8 was be VBD 35024 97 9 expressed express VBN 35024 97 10 in in IN 35024 97 11 terms term NNS 35024 97 12 of of IN 35024 97 13 the the DT 35024 97 14 length length NN 35024 97 15 of of IN 35024 97 16 the the DT 35024 97 17 seconds second NNS 35024 97 18 pendulum pendulum NN 35024 97 19 , , , 35024 97 20 but but CC 35024 97 21 present present JJ 35024 97 22 practice practice NN 35024 97 23 is be VBZ 35024 97 24 to to TO 35024 97 25 express express VB 35024 97 26 gravity gravity NN 35024 97 27 in in IN 35024 97 28 terms term NNS 35024 97 29 of of IN 35024 97 30 g g NN 35024 97 31 , , , 35024 97 32 for for IN 35024 97 33 which which WDT 35024 97 34 the the DT 35024 97 35 unit unit NN 35024 97 36 is be VBZ 35024 97 37 the the DT 35024 97 38 gal gal NN 35024 97 39 , , , 35024 97 40 or or CC 35024 97 41 one one CD 35024 97 42 centimeter centimeter NN 35024 97 43 per per IN 35024 97 44 second second JJ 35024 97 45 per per IN 35024 97 46 second second NN 35024 97 47 . . . 35024 98 1 [ [ -LRB- 35024 98 2 Illustration illustration NN 35024 98 3 : : : 35024 98 4 Figure figure VB 35024 98 5 2.--THIS 2.--this CD 35024 98 6 DRAWING drawing NN 35024 98 7 , , , 35024 98 8 FROM from IN 35024 98 9 RICHER RICHER NNP 35024 98 10 'S 'S NNP 35024 98 11 _ _ NNP 35024 98 12 Observations Observations NNPS 35024 98 13 astronomiques astronomique VBZ 35024 98 14 et et FW 35024 98 15 physiques physique VBZ 35024 98 16 faites faite VBZ 35024 98 17 en en FW 35024 98 18 l'isle l'isle FW 35024 98 19 de de FW 35024 98 20 Caïenne Caïenne NNP 35024 98 21 _ _ NNP 35024 98 22 ( ( -LRB- 35024 98 23 Paris Paris NNP 35024 98 24 , , , 35024 98 25 1679 1679 CD 35024 98 26 ) ) -RRB- 35024 98 27 , , , 35024 98 28 shows show VBZ 35024 98 29 most most JJS 35024 98 30 of of IN 35024 98 31 the the DT 35024 98 32 astronomical astronomical JJ 35024 98 33 instruments instrument NNS 35024 98 34 used use VBN 35024 98 35 by by IN 35024 98 36 Richer Richer NNP 35024 98 37 , , , 35024 98 38 namely namely RB 35024 98 39 , , , 35024 98 40 one one CD 35024 98 41 of of IN 35024 98 42 the the DT 35024 98 43 two two CD 35024 98 44 pendulum pendulum JJ 35024 98 45 clocks clock NNS 35024 98 46 made make VBN 35024 98 47 by by IN 35024 98 48 Thuret Thuret NNP 35024 98 49 , , , 35024 98 50 the the DT 35024 98 51 20-foot 20-foot CD 35024 98 52 and and CC 35024 98 53 the the DT 35024 98 54 5-foot 5-foot CD 35024 98 55 telescopes telescope NNS 35024 98 56 and and CC 35024 98 57 the the DT 35024 98 58 large large JJ 35024 98 59 quadrant quadrant NN 35024 98 60 . . . 35024 99 1 The the DT 35024 99 2 figure figure NN 35024 99 3 may may MD 35024 99 4 be be VB 35024 99 5 intended intend VBN 35024 99 6 as as IN 35024 99 7 a a DT 35024 99 8 portrait portrait NN 35024 99 9 of of IN 35024 99 10 Richer Richer NNP 35024 99 11 . . . 35024 100 1 This this DT 35024 100 2 drawing drawing NN 35024 100 3 was be VBD 35024 100 4 done do VBN 35024 100 5 by by IN 35024 100 6 Sebastian Sebastian NNP 35024 100 7 Le Le NNP 35024 100 8 Clerc Clerc NNP 35024 100 9 , , , 35024 100 10 a a DT 35024 100 11 young young JJ 35024 100 12 illustrator illustrator NN 35024 100 13 who who WP 35024 100 14 made make VBD 35024 100 15 many many JJ 35024 100 16 illustrations illustration NNS 35024 100 17 of of IN 35024 100 18 the the DT 35024 100 19 early early JJ 35024 100 20 work work NN 35024 100 21 of of IN 35024 100 22 the the DT 35024 100 23 Paris Paris NNP 35024 100 24 Academy Academy NNP 35024 100 25 . . . 35024 100 26 ] ] -RRB- 35024 101 1 Figure figure NN 35024 101 2 of of IN 35024 101 3 the the DT 35024 101 4 Earth Earth NNP 35024 101 5 A a DT 35024 101 6 principal principal JJ 35024 101 7 contribution contribution NN 35024 101 8 of of IN 35024 101 9 the the DT 35024 101 10 pendulum pendulum NN 35024 101 11 as as IN 35024 101 12 a a DT 35024 101 13 physical physical JJ 35024 101 14 instrument instrument NN 35024 101 15 has have VBZ 35024 101 16 been be VBN 35024 101 17 the the DT 35024 101 18 determination determination NN 35024 101 19 of of IN 35024 101 20 the the DT 35024 101 21 figure figure NN 35024 101 22 of of IN 35024 101 23 the the DT 35024 101 24 earth earth NN 35024 101 25 . . . 35024 102 1 [ [ -LRB- 35024 102 2 5 5 CD 35024 102 3 ] ] -RRB- 35024 102 4 That that IN 35024 102 5 the the DT 35024 102 6 earth earth NN 35024 102 7 is be VBZ 35024 102 8 spherical spherical JJ 35024 102 9 in in IN 35024 102 10 form form NN 35024 102 11 was be VBD 35024 102 12 accepted accept VBN 35024 102 13 doctrine doctrine NN 35024 102 14 among among IN 35024 102 15 the the DT 35024 102 16 ancient ancient JJ 35024 102 17 Greeks Greeks NNPS 35024 102 18 . . . 35024 103 1 Pythagoras Pythagoras NNP 35024 103 2 is be VBZ 35024 103 3 said say VBN 35024 103 4 to to TO 35024 103 5 have have VB 35024 103 6 been be VBN 35024 103 7 the the DT 35024 103 8 first first JJ 35024 103 9 to to TO 35024 103 10 describe describe VB 35024 103 11 the the DT 35024 103 12 earth earth NN 35024 103 13 as as IN 35024 103 14 a a DT 35024 103 15 sphere sphere NN 35024 103 16 , , , 35024 103 17 and and CC 35024 103 18 this this DT 35024 103 19 view view NN 35024 103 20 was be VBD 35024 103 21 adopted adopt VBN 35024 103 22 by by IN 35024 103 23 Eudoxus Eudoxus NNP 35024 103 24 and and CC 35024 103 25 Aristotle Aristotle NNP 35024 103 26 . . . 35024 104 1 The the DT 35024 104 2 Alexandrian alexandrian JJ 35024 104 3 scientist scientist NN 35024 104 4 Eratosthenes eratosthene NNS 35024 104 5 made make VBD 35024 104 6 the the DT 35024 104 7 first first JJ 35024 104 8 estimate estimate NN 35024 104 9 of of IN 35024 104 10 the the DT 35024 104 11 diameter diameter NN 35024 104 12 and and CC 35024 104 13 circumference circumference NN 35024 104 14 of of IN 35024 104 15 a a DT 35024 104 16 supposedly supposedly RB 35024 104 17 spherical spherical JJ 35024 104 18 earth earth NN 35024 104 19 by by IN 35024 104 20 an an DT 35024 104 21 astronomical astronomical JJ 35024 104 22 - - HYPH 35024 104 23 geodetic geodetic JJ 35024 104 24 method method NN 35024 104 25 . . . 35024 105 1 He -PRON- PRP 35024 105 2 measured measure VBD 35024 105 3 the the DT 35024 105 4 angle angle NN 35024 105 5 between between IN 35024 105 6 the the DT 35024 105 7 directions direction NNS 35024 105 8 of of IN 35024 105 9 the the DT 35024 105 10 rays ray NNS 35024 105 11 of of IN 35024 105 12 the the DT 35024 105 13 sun sun NN 35024 105 14 at at IN 35024 105 15 Alexandria Alexandria NNP 35024 105 16 and and CC 35024 105 17 Syene Syene NNP 35024 105 18 ( ( -LRB- 35024 105 19 Aswan Aswan NNP 35024 105 20 ) ) -RRB- 35024 105 21 , , , 35024 105 22 Egypt Egypt NNP 35024 105 23 , , , 35024 105 24 and and CC 35024 105 25 estimated estimate VBD 35024 105 26 the the DT 35024 105 27 distance distance NN 35024 105 28 between between IN 35024 105 29 these these DT 35024 105 30 places place NNS 35024 105 31 from from IN 35024 105 32 the the DT 35024 105 33 length length NN 35024 105 34 of of IN 35024 105 35 time time NN 35024 105 36 required require VBN 35024 105 37 by by IN 35024 105 38 a a DT 35024 105 39 caravan caravan NN 35024 105 40 of of IN 35024 105 41 camels camel NNS 35024 105 42 to to TO 35024 105 43 travel travel VB 35024 105 44 between between IN 35024 105 45 them -PRON- PRP 35024 105 46 . . . 35024 106 1 From from IN 35024 106 2 the the DT 35024 106 3 central central JJ 35024 106 4 angle angle NN 35024 106 5 corresponding correspond VBG 35024 106 6 to to IN 35024 106 7 the the DT 35024 106 8 arc arc NN 35024 106 9 on on IN 35024 106 10 the the DT 35024 106 11 surface surface NN 35024 106 12 , , , 35024 106 13 he -PRON- PRP 35024 106 14 calculated calculate VBD 35024 106 15 the the DT 35024 106 16 radius radius NN 35024 106 17 and and CC 35024 106 18 hence hence RB 35024 106 19 the the DT 35024 106 20 circumference circumference NN 35024 106 21 of of IN 35024 106 22 the the DT 35024 106 23 earth earth NN 35024 106 24 . . . 35024 107 1 A a DT 35024 107 2 second second JJ 35024 107 3 measurement measurement NN 35024 107 4 was be VBD 35024 107 5 undertaken undertake VBN 35024 107 6 by by IN 35024 107 7 Posidonius Posidonius NNP 35024 107 8 , , , 35024 107 9 who who WP 35024 107 10 measured measure VBD 35024 107 11 the the DT 35024 107 12 altitudes altitude NNS 35024 107 13 of of IN 35024 107 14 stars star NNS 35024 107 15 at at IN 35024 107 16 Alexandria Alexandria NNP 35024 107 17 and and CC 35024 107 18 Rhodes Rhodes NNP 35024 107 19 and and CC 35024 107 20 estimated estimate VBD 35024 107 21 the the DT 35024 107 22 distance distance NN 35024 107 23 between between IN 35024 107 24 them -PRON- PRP 35024 107 25 from from IN 35024 107 26 the the DT 35024 107 27 time time NN 35024 107 28 required require VBN 35024 107 29 to to TO 35024 107 30 sail sail VB 35024 107 31 from from IN 35024 107 32 one one CD 35024 107 33 place place NN 35024 107 34 to to IN 35024 107 35 the the DT 35024 107 36 other other JJ 35024 107 37 . . . 35024 108 1 With with IN 35024 108 2 the the DT 35024 108 3 decline decline NN 35024 108 4 of of IN 35024 108 5 classical classical JJ 35024 108 6 antiquity antiquity NN 35024 108 7 , , , 35024 108 8 the the DT 35024 108 9 doctrine doctrine NN 35024 108 10 of of IN 35024 108 11 the the DT 35024 108 12 spherical spherical JJ 35024 108 13 shape shape NN 35024 108 14 of of IN 35024 108 15 the the DT 35024 108 16 earth earth NN 35024 108 17 was be VBD 35024 108 18 lost lose VBN 35024 108 19 , , , 35024 108 20 and and CC 35024 108 21 only only RB 35024 108 22 one one CD 35024 108 23 investigation investigation NN 35024 108 24 , , , 35024 108 25 that that IN 35024 108 26 by by IN 35024 108 27 the the DT 35024 108 28 Arabs Arabs NNPS 35024 108 29 under under IN 35024 108 30 Calif Calif NNP 35024 108 31 Al Al NNP 35024 108 32 - - HYPH 35024 108 33 Mamun Mamun NNP 35024 108 34 in in IN 35024 108 35 A.D. A.D. NNP 35024 108 36 827 827 CD 35024 108 37 , , , 35024 108 38 is be VBZ 35024 108 39 recorded record VBN 35024 108 40 until until IN 35024 108 41 the the DT 35024 108 42 16th 16th JJ 35024 108 43 century century NN 35024 108 44 . . . 35024 109 1 In in IN 35024 109 2 1525 1525 CD 35024 109 3 , , , 35024 109 4 the the DT 35024 109 5 French french JJ 35024 109 6 mathematician mathematician NN 35024 109 7 Fernel Fernel NNP 35024 109 8 measured measure VBD 35024 109 9 the the DT 35024 109 10 length length NN 35024 109 11 of of IN 35024 109 12 a a DT 35024 109 13 degree degree NN 35024 109 14 of of IN 35024 109 15 latitude latitude NN 35024 109 16 between between IN 35024 109 17 Paris Paris NNP 35024 109 18 and and CC 35024 109 19 Amiens Amiens NNPS 35024 109 20 by by IN 35024 109 21 the the DT 35024 109 22 revolutions revolution NNS 35024 109 23 of of IN 35024 109 24 the the DT 35024 109 25 wheels wheel NNS 35024 109 26 of of IN 35024 109 27 his -PRON- PRP$ 35024 109 28 carriage carriage NN 35024 109 29 , , , 35024 109 30 the the DT 35024 109 31 circumference circumference NN 35024 109 32 of of IN 35024 109 33 which which WDT 35024 109 34 he -PRON- PRP 35024 109 35 had have VBD 35024 109 36 determined determine VBN 35024 109 37 . . . 35024 110 1 In in IN 35024 110 2 England England NNP 35024 110 3 , , , 35024 110 4 Norwood Norwood NNP 35024 110 5 in in IN 35024 110 6 1635 1635 CD 35024 110 7 measured measure VBD 35024 110 8 the the DT 35024 110 9 length length NN 35024 110 10 of of IN 35024 110 11 an an DT 35024 110 12 arc arc NN 35024 110 13 between between IN 35024 110 14 London London NNP 35024 110 15 and and CC 35024 110 16 York York NNP 35024 110 17 with with IN 35024 110 18 a a DT 35024 110 19 chain chain NN 35024 110 20 . . . 35024 111 1 An an DT 35024 111 2 important important JJ 35024 111 3 forward forward JJ 35024 111 4 step step NN 35024 111 5 in in IN 35024 111 6 geodesy geodesy NN 35024 111 7 was be VBD 35024 111 8 the the DT 35024 111 9 measurement measurement NN 35024 111 10 of of IN 35024 111 11 distance distance NN 35024 111 12 by by IN 35024 111 13 triangulation triangulation NN 35024 111 14 , , , 35024 111 15 first first RB 35024 111 16 by by IN 35024 111 17 Tycho Tycho NNP 35024 111 18 Brahe Brahe NNP 35024 111 19 , , , 35024 111 20 in in IN 35024 111 21 Denmark Denmark NNP 35024 111 22 , , , 35024 111 23 and and CC 35024 111 24 later later RBR 35024 111 25 , , , 35024 111 26 in in IN 35024 111 27 1615 1615 CD 35024 111 28 , , , 35024 111 29 by by IN 35024 111 30 Willebrord Willebrord NNP 35024 111 31 Snell Snell NNP 35024 111 32 , , , 35024 111 33 in in IN 35024 111 34 Holland Holland NNP 35024 111 35 . . . 35024 112 1 Of of IN 35024 112 2 historic historic JJ 35024 112 3 importance importance NN 35024 112 4 , , , 35024 112 5 was be VBD 35024 112 6 the the DT 35024 112 7 use use NN 35024 112 8 of of IN 35024 112 9 telescopes telescope NNS 35024 112 10 in in IN 35024 112 11 the the DT 35024 112 12 triangulation triangulation NN 35024 112 13 for for IN 35024 112 14 the the DT 35024 112 15 measurement measurement NN 35024 112 16 of of IN 35024 112 17 a a DT 35024 112 18 degree degree NN 35024 112 19 of of IN 35024 112 20 arc arc NN 35024 112 21 by by IN 35024 112 22 the the DT 35024 112 23 Abbé Abbé NNP 35024 112 24 Jean Jean NNP 35024 112 25 Picard Picard NNP 35024 112 26 in in IN 35024 112 27 1669 1669 CD 35024 112 28 . . . 35024 113 1 [ [ -LRB- 35024 113 2 6 6 CD 35024 113 3 ] ] -RRB- 35024 113 4 He -PRON- PRP 35024 113 5 had have VBD 35024 113 6 been be VBN 35024 113 7 commissioned commission VBN 35024 113 8 by by IN 35024 113 9 the the DT 35024 113 10 newly newly RB 35024 113 11 established establish VBN 35024 113 12 Academy Academy NNP 35024 113 13 of of IN 35024 113 14 Sciences Sciences NNPS 35024 113 15 to to TO 35024 113 16 measure measure VB 35024 113 17 an an DT 35024 113 18 arc arc NN 35024 113 19 corresponding correspond VBG 35024 113 20 to to IN 35024 113 21 an an DT 35024 113 22 angle angle NN 35024 113 23 of of IN 35024 113 24 1 1 CD 35024 113 25 ° ° NNS 35024 113 26 , , , 35024 113 27 22 22 CD 35024 113 28 ' ' CD 35024 113 29 , , , 35024 113 30 55 55 CD 35024 113 31 " " '' 35024 113 32 of of IN 35024 113 33 the the DT 35024 113 34 meridian meridian NN 35024 113 35 between between IN 35024 113 36 Amiens Amiens NNP 35024 113 37 and and CC 35024 113 38 Malvoisine Malvoisine NNP 35024 113 39 , , , 35024 113 40 near near IN 35024 113 41 Paris Paris NNP 35024 113 42 . . . 35024 114 1 Picard Picard NNP 35024 114 2 proposed propose VBD 35024 114 3 to to IN 35024 114 4 the the DT 35024 114 5 Academy Academy NNP 35024 114 6 the the DT 35024 114 7 measurement measurement NN 35024 114 8 of of IN 35024 114 9 the the DT 35024 114 10 meridian meridian NN 35024 114 11 of of IN 35024 114 12 Paris Paris NNP 35024 114 13 through through IN 35024 114 14 all all DT 35024 114 15 of of IN 35024 114 16 France France NNP 35024 114 17 , , , 35024 114 18 and and CC 35024 114 19 this this DT 35024 114 20 project project NN 35024 114 21 was be VBD 35024 114 22 supported support VBN 35024 114 23 by by IN 35024 114 24 Colbert Colbert NNP 35024 114 25 , , , 35024 114 26 who who WP 35024 114 27 obtained obtain VBD 35024 114 28 the the DT 35024 114 29 approval approval NN 35024 114 30 of of IN 35024 114 31 the the DT 35024 114 32 King King NNP 35024 114 33 . . . 35024 115 1 In in IN 35024 115 2 1684 1684 CD 35024 115 3 , , , 35024 115 4 Giovanni Giovanni NNP 35024 115 5 - - HYPH 35024 115 6 Domenico Domenico NNP 35024 115 7 Cassini Cassini NNP 35024 115 8 and and CC 35024 115 9 De De NNP 35024 115 10 la la NNP 35024 115 11 Hire Hire NNP 35024 115 12 commenced commence VBD 35024 115 13 a a DT 35024 115 14 trigonometrical trigonometrical JJ 35024 115 15 measure measure NN 35024 115 16 of of IN 35024 115 17 an an DT 35024 115 18 arc arc NN 35024 115 19 south south RB 35024 115 20 of of IN 35024 115 21 Paris Paris NNP 35024 115 22 ; ; : 35024 115 23 subsequently subsequently RB 35024 115 24 , , , 35024 115 25 Jacques Jacques NNP 35024 115 26 Cassini Cassini NNP 35024 115 27 , , , 35024 115 28 the the DT 35024 115 29 son son NN 35024 115 30 of of IN 35024 115 31 Giovanni Giovanni NNP 35024 115 32 - - HYPH 35024 115 33 Domenico Domenico NNP 35024 115 34 , , , 35024 115 35 added add VBD 35024 115 36 the the DT 35024 115 37 arc arc NN 35024 115 38 to to IN 35024 115 39 the the DT 35024 115 40 north north NN 35024 115 41 of of IN 35024 115 42 Paris Paris NNP 35024 115 43 . . . 35024 116 1 The the DT 35024 116 2 project project NN 35024 116 3 was be VBD 35024 116 4 completed complete VBN 35024 116 5 in in IN 35024 116 6 1718 1718 CD 35024 116 7 . . . 35024 117 1 The the DT 35024 117 2 length length NN 35024 117 3 of of IN 35024 117 4 a a DT 35024 117 5 degree degree NN 35024 117 6 of of IN 35024 117 7 arc arc NN 35024 117 8 south south RB 35024 117 9 of of IN 35024 117 10 Paris Paris NNP 35024 117 11 was be VBD 35024 117 12 found find VBN 35024 117 13 to to TO 35024 117 14 be be VB 35024 117 15 greater great JJR 35024 117 16 than than IN 35024 117 17 the the DT 35024 117 18 length length NN 35024 117 19 north north NN 35024 117 20 of of IN 35024 117 21 Paris Paris NNP 35024 117 22 . . . 35024 118 1 From from IN 35024 118 2 the the DT 35024 118 3 difference difference NN 35024 118 4 , , , 35024 118 5 57,097 57,097 CD 35024 118 6 toises[7 toises[7 NNP 35024 118 7 ] ] -RRB- 35024 118 8 minus minus CC 35024 118 9 56,960 56,960 CD 35024 118 10 toises toise NNS 35024 118 11 , , , 35024 118 12 it -PRON- PRP 35024 118 13 was be VBD 35024 118 14 concluded conclude VBN 35024 118 15 that that IN 35024 118 16 the the DT 35024 118 17 polar polar JJ 35024 118 18 diameter diameter NN 35024 118 19 of of IN 35024 118 20 the the DT 35024 118 21 earth earth NN 35024 118 22 is be VBZ 35024 118 23 larger large JJR 35024 118 24 than than IN 35024 118 25 the the DT 35024 118 26 equatorial equatorial JJ 35024 118 27 diameter diameter NN 35024 118 28 , , , 35024 118 29 i.e. i.e. FW 35024 118 30 , , , 35024 118 31 that that IN 35024 118 32 the the DT 35024 118 33 earth earth NN 35024 118 34 is be VBZ 35024 118 35 a a DT 35024 118 36 prolate prolate JJ 35024 118 37 spheroid spheroid NN 35024 118 38 ( ( -LRB- 35024 118 39 fig fig NN 35024 118 40 . . . 35024 119 1 3 3 LS 35024 119 2 ) ) -RRB- 35024 119 3 . . . 35024 120 1 [ [ -LRB- 35024 120 2 Illustration illustration NN 35024 120 3 : : : 35024 120 4 Figure figure VB 35024 120 5 3.--MEASUREMENTS 3.--measurements CD 35024 120 6 OF of IN 35024 120 7 THE the DT 35024 120 8 LENGTH LENGTH NNP 35024 120 9 of of IN 35024 120 10 a a DT 35024 120 11 degree degree NN 35024 120 12 of of IN 35024 120 13 latitude latitude NN 35024 120 14 which which WDT 35024 120 15 were be VBD 35024 120 16 completed complete VBN 35024 120 17 in in IN 35024 120 18 different different JJ 35024 120 19 parts part NNS 35024 120 20 of of IN 35024 120 21 France France NNP 35024 120 22 in in IN 35024 120 23 1669 1669 CD 35024 120 24 and and CC 35024 120 25 1718 1718 CD 35024 120 26 gave give VBD 35024 120 27 differing differing JJ 35024 120 28 results result NNS 35024 120 29 which which WDT 35024 120 30 suggested suggest VBD 35024 120 31 that that IN 35024 120 32 the the DT 35024 120 33 shape shape NN 35024 120 34 of of IN 35024 120 35 the the DT 35024 120 36 earth earth NN 35024 120 37 is be VBZ 35024 120 38 not not RB 35024 120 39 a a DT 35024 120 40 sphere sphere NN 35024 120 41 but but CC 35024 120 42 a a DT 35024 120 43 prolate prolate JJ 35024 120 44 spheroid spheroid NN 35024 120 45 ( ( -LRB- 35024 120 46 1 1 CD 35024 120 47 ) ) -RRB- 35024 120 48 . . . 35024 121 1 But but CC 35024 121 2 Richer Richer NNP 35024 121 3 's 's POS 35024 121 4 pendulum pendulum JJ 35024 121 5 observation observation NN 35024 121 6 of of IN 35024 121 7 1672 1672 CD 35024 121 8 , , , 35024 121 9 as as IN 35024 121 10 explained explain VBN 35024 121 11 by by IN 35024 121 12 Huygens Huygens NNP 35024 121 13 and and CC 35024 121 14 Newton Newton NNP 35024 121 15 , , , 35024 121 16 indicated indicate VBD 35024 121 17 that that IN 35024 121 18 its -PRON- PRP$ 35024 121 19 shape shape NN 35024 121 20 is be VBZ 35024 121 21 that that DT 35024 121 22 of of IN 35024 121 23 an an DT 35024 121 24 oblate oblate JJ 35024 121 25 spheroid spheroid NN 35024 121 26 ( ( -LRB- 35024 121 27 2 2 CD 35024 121 28 ) ) -RRB- 35024 121 29 . . . 35024 122 1 The the DT 35024 122 2 disagreement disagreement NN 35024 122 3 is be VBZ 35024 122 4 reflected reflect VBN 35024 122 5 in in IN 35024 122 6 this this DT 35024 122 7 drawing drawing NN 35024 122 8 . . . 35024 123 1 In in IN 35024 123 2 the the DT 35024 123 3 1730 1730 CD 35024 123 4 's 's POS 35024 123 5 it -PRON- PRP 35024 123 6 was be VBD 35024 123 7 resolved resolve VBN 35024 123 8 in in IN 35024 123 9 favor favor NN 35024 123 10 of of IN 35024 123 11 the the DT 35024 123 12 latter latter JJ 35024 123 13 view view NN 35024 123 14 by by IN 35024 123 15 two two CD 35024 123 16 French french JJ 35024 123 17 geodetic geodetic JJ 35024 123 18 expeditions expedition NNS 35024 123 19 for for IN 35024 123 20 the the DT 35024 123 21 measurement measurement NN 35024 123 22 of of IN 35024 123 23 degrees degree NNS 35024 123 24 of of IN 35024 123 25 latitude latitude NN 35024 123 26 in in IN 35024 123 27 the the DT 35024 123 28 equatorial equatorial JJ 35024 123 29 and and CC 35024 123 30 polar polar JJ 35024 123 31 regions region NNS 35024 123 32 ( ( -LRB- 35024 123 33 Ecuador Ecuador NNP 35024 123 34 -- -- : 35024 123 35 then then RB 35024 123 36 part part NN 35024 123 37 of of IN 35024 123 38 Peru Peru NNP 35024 123 39 -- -- : 35024 123 40 and and CC 35024 123 41 Lapland Lapland NNP 35024 123 42 ) ) -RRB- 35024 123 43 . . . 35024 123 44 ] ] -RRB- 35024 124 1 Meanwhile meanwhile RB 35024 124 2 , , , 35024 124 3 Richer Richer NNPS 35024 124 4 in in IN 35024 124 5 1672 1672 CD 35024 124 6 had have VBD 35024 124 7 been be VBN 35024 124 8 sent send VBN 35024 124 9 to to IN 35024 124 10 Cayenne Cayenne NNP 35024 124 11 , , , 35024 124 12 French French NNP 35024 124 13 Guiana Guiana NNP 35024 124 14 , , , 35024 124 15 to to TO 35024 124 16 make make VB 35024 124 17 astronomical astronomical JJ 35024 124 18 observations observation NNS 35024 124 19 and and CC 35024 124 20 to to TO 35024 124 21 measure measure VB 35024 124 22 the the DT 35024 124 23 length length NN 35024 124 24 of of IN 35024 124 25 the the DT 35024 124 26 seconds second NNS 35024 124 27 pendulum pendulum NN 35024 124 28 . . . 35024 125 1 [ [ -LRB- 35024 125 2 8 8 CD 35024 125 3 ] ] -RRB- 35024 125 4 He -PRON- PRP 35024 125 5 took take VBD 35024 125 6 with with IN 35024 125 7 him -PRON- PRP 35024 125 8 a a DT 35024 125 9 pendulum pendulum NN 35024 125 10 clock clock NN 35024 125 11 which which WDT 35024 125 12 had have VBD 35024 125 13 been be VBN 35024 125 14 adjusted adjust VBN 35024 125 15 to to TO 35024 125 16 keep keep VB 35024 125 17 accurate accurate JJ 35024 125 18 time time NN 35024 125 19 in in IN 35024 125 20 Paris Paris NNP 35024 125 21 . . . 35024 126 1 At at IN 35024 126 2 Cayenne Cayenne NNP 35024 126 3 , , , 35024 126 4 however however RB 35024 126 5 , , , 35024 126 6 Richer Richer NNP 35024 126 7 found find VBD 35024 126 8 that that IN 35024 126 9 the the DT 35024 126 10 clock clock NN 35024 126 11 was be VBD 35024 126 12 retarded retard VBN 35024 126 13 by by IN 35024 126 14 2 2 CD 35024 126 15 minutes minute NNS 35024 126 16 and and CC 35024 126 17 28 28 CD 35024 126 18 seconds second NNS 35024 126 19 per per IN 35024 126 20 day day NN 35024 126 21 ( ( -LRB- 35024 126 22 fig fig NN 35024 126 23 . . . 35024 127 1 1 1 LS 35024 127 2 ) ) -RRB- 35024 127 3 . . . 35024 128 1 He -PRON- PRP 35024 128 2 also also RB 35024 128 3 fitted fit VBD 35024 128 4 up up RP 35024 128 5 a a DT 35024 128 6 " " `` 35024 128 7 simple simple JJ 35024 128 8 " " '' 35024 128 9 pendulum pendulum NN 35024 128 10 to to TO 35024 128 11 vibrate vibrate VB 35024 128 12 in in IN 35024 128 13 seconds second NNS 35024 128 14 and and CC 35024 128 15 measured measure VBD 35024 128 16 the the DT 35024 128 17 length length NN 35024 128 18 of of IN 35024 128 19 this this DT 35024 128 20 seconds second NNS 35024 128 21 pendulum pendulum NN 35024 128 22 several several JJ 35024 128 23 times time NNS 35024 128 24 every every DT 35024 128 25 week week NN 35024 128 26 for for IN 35024 128 27 10 10 CD 35024 128 28 months month NNS 35024 128 29 . . . 35024 129 1 Upon upon IN 35024 129 2 his -PRON- PRP$ 35024 129 3 return return NN 35024 129 4 to to IN 35024 129 5 Paris Paris NNP 35024 129 6 , , , 35024 129 7 he -PRON- PRP 35024 129 8 found find VBD 35024 129 9 that that IN 35024 129 10 the the DT 35024 129 11 length length NN 35024 129 12 of of IN 35024 129 13 the the DT 35024 129 14 " " `` 35024 129 15 simple simple JJ 35024 129 16 " " '' 35024 129 17 pendulum pendulum NN 35024 129 18 which which WDT 35024 129 19 beat beat VBD 35024 129 20 seconds second NNS 35024 129 21 at at IN 35024 129 22 Cayenne Cayenne NNP 35024 129 23 was be VBD 35024 129 24 1 1 CD 35024 129 25 - - SYM 35024 129 26 1/4 1/4 CD 35024 129 27 Paris Paris NNP 35024 129 28 lines[9 lines[9 NNP 35024 129 29 ] ] -RRB- 35024 129 30 shorter short JJR 35024 129 31 than than IN 35024 129 32 the the DT 35024 129 33 length length NN 35024 129 34 of of IN 35024 129 35 the the DT 35024 129 36 seconds second NNS 35024 129 37 pendulum pendulum NN 35024 129 38 at at IN 35024 129 39 Paris Paris NNP 35024 129 40 . . . 35024 130 1 Huygens Huygens NNP 35024 130 2 explained explain VBD 35024 130 3 the the DT 35024 130 4 reduction reduction NN 35024 130 5 in in IN 35024 130 6 the the DT 35024 130 7 length length NN 35024 130 8 of of IN 35024 130 9 the the DT 35024 130 10 seconds second NNS 35024 130 11 pendulum pendulum NN 35024 130 12 -- -- : 35024 130 13 and and CC 35024 130 14 , , , 35024 130 15 therefore therefore RB 35024 130 16 , , , 35024 130 17 the the DT 35024 130 18 lesser less JJR 35024 130 19 intensity intensity NN 35024 130 20 of of IN 35024 130 21 gravity gravity NN 35024 130 22 at at IN 35024 130 23 the the DT 35024 130 24 equator equator NN 35024 130 25 with with IN 35024 130 26 respect respect NN 35024 130 27 to to IN 35024 130 28 the the DT 35024 130 29 value value NN 35024 130 30 at at IN 35024 130 31 Paris Paris NNP 35024 130 32 -- -- : 35024 130 33 in in IN 35024 130 34 terms term NNS 35024 130 35 of of IN 35024 130 36 his -PRON- PRP$ 35024 130 37 theory theory NN 35024 130 38 of of IN 35024 130 39 centripetal centripetal JJ 35024 130 40 force force NN 35024 130 41 as as IN 35024 130 42 applied apply VBN 35024 130 43 to to IN 35024 130 44 the the DT 35024 130 45 rotation rotation NN 35024 130 46 of of IN 35024 130 47 the the DT 35024 130 48 earth earth NN 35024 130 49 and and CC 35024 130 50 pendulum pendulum NN 35024 130 51 . . . 35024 131 1 [ [ -LRB- 35024 131 2 10 10 CD 35024 131 3 ] ] -RRB- 35024 131 4 A a DT 35024 131 5 more more RBR 35024 131 6 complete complete JJ 35024 131 7 theory theory NN 35024 131 8 was be VBD 35024 131 9 given give VBN 35024 131 10 by by IN 35024 131 11 Newton Newton NNP 35024 131 12 in in IN 35024 131 13 the the DT 35024 131 14 _ _ NNP 35024 131 15 Principia Principia NNP 35024 131 16 _ _ NNP 35024 131 17 . . . 35024 132 1 [ [ -LRB- 35024 132 2 11 11 CD 35024 132 3 ] ] -RRB- 35024 132 4 Newton Newton NNP 35024 132 5 showed show VBD 35024 132 6 that that IN 35024 132 7 if if IN 35024 132 8 the the DT 35024 132 9 earth earth NN 35024 132 10 is be VBZ 35024 132 11 assumed assume VBN 35024 132 12 to to TO 35024 132 13 be be VB 35024 132 14 a a DT 35024 132 15 homogeneous homogeneous JJ 35024 132 16 , , , 35024 132 17 mutually mutually RB 35024 132 18 gravitating gravitate VBG 35024 132 19 fluid fluid JJ 35024 132 20 globe globe NN 35024 132 21 , , , 35024 132 22 its -PRON- PRP$ 35024 132 23 rotation rotation NN 35024 132 24 will will MD 35024 132 25 result result VB 35024 132 26 in in IN 35024 132 27 a a DT 35024 132 28 bulging bulging NN 35024 132 29 at at IN 35024 132 30 the the DT 35024 132 31 equator equator NN 35024 132 32 . . . 35024 133 1 The the DT 35024 133 2 earth earth NN 35024 133 3 will will MD 35024 133 4 then then RB 35024 133 5 have have VB 35024 133 6 the the DT 35024 133 7 form form NN 35024 133 8 of of IN 35024 133 9 an an DT 35024 133 10 oblate oblate JJ 35024 133 11 spheroid spheroid NN 35024 133 12 , , , 35024 133 13 and and CC 35024 133 14 the the DT 35024 133 15 intensity intensity NN 35024 133 16 of of IN 35024 133 17 gravity gravity NN 35024 133 18 as as IN 35024 133 19 a a DT 35024 133 20 form form NN 35024 133 21 of of IN 35024 133 22 universal universal JJ 35024 133 23 gravitation gravitation NN 35024 133 24 will will MD 35024 133 25 vary vary VB 35024 133 26 with with IN 35024 133 27 position position NN 35024 133 28 on on IN 35024 133 29 the the DT 35024 133 30 surface surface NN 35024 133 31 of of IN 35024 133 32 the the DT 35024 133 33 earth earth NN 35024 133 34 . . . 35024 134 1 Newton Newton NNP 35024 134 2 took take VBD 35024 134 3 into into IN 35024 134 4 account account NN 35024 134 5 gravitational gravitational JJ 35024 134 6 attraction attraction NN 35024 134 7 and and CC 35024 134 8 centrifugal centrifugal JJ 35024 134 9 action action NN 35024 134 10 , , , 35024 134 11 and and CC 35024 134 12 he -PRON- PRP 35024 134 13 calculated calculate VBD 35024 134 14 the the DT 35024 134 15 ratio ratio NN 35024 134 16 of of IN 35024 134 17 the the DT 35024 134 18 axes axis NNS 35024 134 19 of of IN 35024 134 20 the the DT 35024 134 21 spheroid spheroid NN 35024 134 22 to to TO 35024 134 23 be be VB 35024 134 24 230:229 230:229 CD 35024 134 25 . . . 35024 135 1 He -PRON- PRP 35024 135 2 calculated calculate VBD 35024 135 3 and and CC 35024 135 4 prepared prepare VBD 35024 135 5 a a DT 35024 135 6 table table NN 35024 135 7 of of IN 35024 135 8 the the DT 35024 135 9 lengths length NNS 35024 135 10 of of IN 35024 135 11 a a DT 35024 135 12 degree degree NN 35024 135 13 of of IN 35024 135 14 latitude latitude NN 35024 135 15 and and CC 35024 135 16 of of IN 35024 135 17 the the DT 35024 135 18 seconds second NNS 35024 135 19 pendulum pendulum NN 35024 135 20 for for IN 35024 135 21 every every DT 35024 135 22 5 5 CD 35024 135 23 ° ° NNS 35024 135 24 of of IN 35024 135 25 latitude latitude NN 35024 135 26 from from IN 35024 135 27 the the DT 35024 135 28 equator equator NN 35024 135 29 to to IN 35024 135 30 the the DT 35024 135 31 pole pole NN 35024 135 32 . . . 35024 136 1 A a DT 35024 136 2 discrepancy discrepancy NN 35024 136 3 between between IN 35024 136 4 his -PRON- PRP$ 35024 136 5 predicted predict VBN 35024 136 6 length length NN 35024 136 7 of of IN 35024 136 8 the the DT 35024 136 9 seconds second NNS 35024 136 10 pendulum pendulum NN 35024 136 11 at at IN 35024 136 12 the the DT 35024 136 13 equator equator NN 35024 136 14 and and CC 35024 136 15 Richer Richer NNP 35024 136 16 's 's POS 35024 136 17 measured measure VBN 35024 136 18 length length NN 35024 136 19 was be VBD 35024 136 20 explained explain VBN 35024 136 21 by by IN 35024 136 22 Newton Newton NNP 35024 136 23 in in IN 35024 136 24 terms term NNS 35024 136 25 of of IN 35024 136 26 the the DT 35024 136 27 expansion expansion NN 35024 136 28 of of IN 35024 136 29 the the DT 35024 136 30 scale scale NN 35024 136 31 with with IN 35024 136 32 higher high JJR 35024 136 33 temperatures temperature NNS 35024 136 34 near near IN 35024 136 35 the the DT 35024 136 36 equator equator NN 35024 136 37 . . . 35024 137 1 Newton Newton NNP 35024 137 2 's 's POS 35024 137 3 theory theory NN 35024 137 4 that that IN 35024 137 5 the the DT 35024 137 6 earth earth NN 35024 137 7 is be VBZ 35024 137 8 an an DT 35024 137 9 oblate oblate JJ 35024 137 10 spheroid spheroid NN 35024 137 11 was be VBD 35024 137 12 confirmed confirm VBN 35024 137 13 by by IN 35024 137 14 the the DT 35024 137 15 measurements measurement NNS 35024 137 16 of of IN 35024 137 17 Richer Richer NNP 35024 137 18 , , , 35024 137 19 but but CC 35024 137 20 was be VBD 35024 137 21 rejected reject VBN 35024 137 22 by by IN 35024 137 23 the the DT 35024 137 24 Paris Paris NNP 35024 137 25 Academy Academy NNP 35024 137 26 of of IN 35024 137 27 Sciences Sciences NNPS 35024 137 28 , , , 35024 137 29 for for IN 35024 137 30 it -PRON- PRP 35024 137 31 contradicted contradict VBD 35024 137 32 the the DT 35024 137 33 results result NNS 35024 137 34 of of IN 35024 137 35 the the DT 35024 137 36 Cassinis Cassinis NNP 35024 137 37 , , , 35024 137 38 father father NN 35024 137 39 and and CC 35024 137 40 son son NN 35024 137 41 , , , 35024 137 42 whose whose WP$ 35024 137 43 measurements measurement NNS 35024 137 44 of of IN 35024 137 45 arcs arc NNS 35024 137 46 to to IN 35024 137 47 the the DT 35024 137 48 south south NN 35024 137 49 and and CC 35024 137 50 north north NN 35024 137 51 of of IN 35024 137 52 Paris Paris NNP 35024 137 53 had have VBD 35024 137 54 led lead VBN 35024 137 55 to to IN 35024 137 56 the the DT 35024 137 57 conclusion conclusion NN 35024 137 58 that that IN 35024 137 59 the the DT 35024 137 60 earth earth NN 35024 137 61 is be VBZ 35024 137 62 a a DT 35024 137 63 prolate prolate JJ 35024 137 64 spheroid spheroid NN 35024 137 65 . . . 35024 138 1 Thus thus RB 35024 138 2 , , , 35024 138 3 a a DT 35024 138 4 controversy controversy NN 35024 138 5 arose arise VBD 35024 138 6 between between IN 35024 138 7 the the DT 35024 138 8 English english JJ 35024 138 9 scientists scientist NNS 35024 138 10 and and CC 35024 138 11 the the DT 35024 138 12 Paris Paris NNP 35024 138 13 Academy Academy NNP 35024 138 14 . . . 35024 139 1 The the DT 35024 139 2 conflict conflict NN 35024 139 3 was be VBD 35024 139 4 finally finally RB 35024 139 5 resolved resolve VBN 35024 139 6 by by IN 35024 139 7 the the DT 35024 139 8 results result NNS 35024 139 9 of of IN 35024 139 10 expeditions expedition NNS 35024 139 11 sent send VBN 35024 139 12 by by IN 35024 139 13 the the DT 35024 139 14 Academy Academy NNP 35024 139 15 to to IN 35024 139 16 Peru Peru NNP 35024 139 17 and and CC 35024 139 18 Sweden Sweden NNP 35024 139 19 . . . 35024 140 1 The the DT 35024 140 2 first first JJ 35024 140 3 expedition expedition NN 35024 140 4 , , , 35024 140 5 under under IN 35024 140 6 Bouguer Bouguer NNP 35024 140 7 , , , 35024 140 8 La La NNP 35024 140 9 Condamine Condamine NNP 35024 140 10 , , , 35024 140 11 and and CC 35024 140 12 Godin Godin NNP 35024 140 13 in in IN 35024 140 14 1735 1735 CD 35024 140 15 , , , 35024 140 16 went go VBD 35024 140 17 to to IN 35024 140 18 a a DT 35024 140 19 region region NN 35024 140 20 in in IN 35024 140 21 Peru Peru NNP 35024 140 22 , , , 35024 140 23 and and CC 35024 140 24 , , , 35024 140 25 with with IN 35024 140 26 the the DT 35024 140 27 help help NN 35024 140 28 of of IN 35024 140 29 the the DT 35024 140 30 Spaniard Spaniard NNP 35024 140 31 Ullo Ullo NNP 35024 140 32 , , , 35024 140 33 measured measure VBD 35024 140 34 a a DT 35024 140 35 meridian meridian NNP 35024 140 36 arc arc NN 35024 140 37 of of IN 35024 140 38 about about RB 35024 140 39 3 3 CD 35024 140 40 ° ° , 35024 140 41 7 7 CD 35024 140 42 ' ' '' 35024 140 43 near near IN 35024 140 44 Quito Quito NNP 35024 140 45 , , , 35024 140 46 now now RB 35024 140 47 in in IN 35024 140 48 Ecuador Ecuador NNP 35024 140 49 . . . 35024 141 1 [ [ -LRB- 35024 141 2 12 12 CD 35024 141 3 ] ] -RRB- 35024 141 4 The the DT 35024 141 5 second second JJ 35024 141 6 expedition expedition NN 35024 141 7 , , , 35024 141 8 with with IN 35024 141 9 Maupertuis Maupertuis NNP 35024 141 10 and and CC 35024 141 11 Clairaut Clairaut NNP 35024 141 12 in in IN 35024 141 13 1736 1736 CD 35024 141 14 , , , 35024 141 15 went go VBD 35024 141 16 to to IN 35024 141 17 Lapland Lapland NNP 35024 141 18 within within IN 35024 141 19 the the DT 35024 141 20 Arctic Arctic NNP 35024 141 21 Circle Circle NNP 35024 141 22 and and CC 35024 141 23 measured measure VBD 35024 141 24 an an DT 35024 141 25 arc arc NN 35024 141 26 of of IN 35024 141 27 about about RB 35024 141 28 1 1 CD 35024 141 29 ° ° NNS 35024 141 30 in in IN 35024 141 31 length length NN 35024 141 32 . . . 35024 142 1 [ [ -LRB- 35024 142 2 13 13 CD 35024 142 3 ] ] -RRB- 35024 142 4 The the DT 35024 142 5 northern northern JJ 35024 142 6 arc arc NN 35024 142 7 of of IN 35024 142 8 1 1 CD 35024 142 9 ° ° NNS 35024 142 10 was be VBD 35024 142 11 found find VBN 35024 142 12 to to TO 35024 142 13 be be VB 35024 142 14 longer long JJR 35024 142 15 than than IN 35024 142 16 the the DT 35024 142 17 Peruvian peruvian JJ 35024 142 18 arc arc NN 35024 142 19 of of IN 35024 142 20 1 1 CD 35024 142 21 ° ° NNS 35024 142 22 , , , 35024 142 23 and and CC 35024 142 24 thus thus RB 35024 142 25 it -PRON- PRP 35024 142 26 was be VBD 35024 142 27 confirmed confirm VBN 35024 142 28 that that IN 35024 142 29 the the DT 35024 142 30 earth earth NN 35024 142 31 is be VBZ 35024 142 32 an an DT 35024 142 33 oblate oblate JJ 35024 142 34 spheroid spheroid NN 35024 142 35 , , , 35024 142 36 that that RB 35024 142 37 is is RB 35024 142 38 , , , 35024 142 39 flattened flatten VBD 35024 142 40 at at IN 35024 142 41 the the DT 35024 142 42 poles pole NNS 35024 142 43 , , , 35024 142 44 as as IN 35024 142 45 predicted predict VBN 35024 142 46 by by IN 35024 142 47 the the DT 35024 142 48 theory theory NN 35024 142 49 of of IN 35024 142 50 Newton Newton NNP 35024 142 51 . . . 35024 143 1 [ [ -LRB- 35024 143 2 Illustration illustration NN 35024 143 3 : : : 35024 143 4 Figure figure NN 35024 143 5 4.--THE 4.--the CD 35024 143 6 DIRECT DIRECT VBZ 35024 143 7 USE use NN 35024 143 8 OF of IN 35024 143 9 A a DT 35024 143 10 CLOCK CLOCK NNP 35024 143 11 to to TO 35024 143 12 measure measure VB 35024 143 13 the the DT 35024 143 14 force force NN 35024 143 15 of of IN 35024 143 16 gravity gravity NN 35024 143 17 was be VBD 35024 143 18 found find VBN 35024 143 19 to to TO 35024 143 20 be be VB 35024 143 21 limited limit VBN 35024 143 22 in in IN 35024 143 23 accuracy accuracy NN 35024 143 24 by by IN 35024 143 25 the the DT 35024 143 26 necessary necessary JJ 35024 143 27 mechanical mechanical JJ 35024 143 28 connection connection NN 35024 143 29 of of IN 35024 143 30 the the DT 35024 143 31 pendulum pendulum NN 35024 143 32 to to IN 35024 143 33 the the DT 35024 143 34 clock clock NN 35024 143 35 , , , 35024 143 36 and and CC 35024 143 37 by by IN 35024 143 38 the the DT 35024 143 39 unavoidable unavoidable JJ 35024 143 40 difference difference NN 35024 143 41 between between IN 35024 143 42 the the DT 35024 143 43 characteristics characteristic NNS 35024 143 44 of of IN 35024 143 45 a a DT 35024 143 46 clock clock NN 35024 143 47 pendulum pendulum NN 35024 143 48 and and CC 35024 143 49 those those DT 35024 143 50 of of IN 35024 143 51 a a DT 35024 143 52 theoretical theoretical JJ 35024 143 53 ( ( -LRB- 35024 143 54 usually usually RB 35024 143 55 called call VBN 35024 143 56 " " `` 35024 143 57 simple simple JJ 35024 143 58 " " '' 35024 143 59 ) ) -RRB- 35024 143 60 pendulum pendulum NN 35024 143 61 , , , 35024 143 62 in in IN 35024 143 63 which which WDT 35024 143 64 the the DT 35024 143 65 mass mass NN 35024 143 66 is be VBZ 35024 143 67 concentrated concentrate VBN 35024 143 68 in in IN 35024 143 69 the the DT 35024 143 70 bob bob NNP 35024 143 71 , , , 35024 143 72 and and CC 35024 143 73 the the DT 35024 143 74 supporting supporting JJ 35024 143 75 rod rod NN 35024 143 76 is be VBZ 35024 143 77 weightless weightless JJ 35024 143 78 . . . 35024 144 1 After after IN 35024 144 2 1735 1735 CD 35024 144 3 , , , 35024 144 4 the the DT 35024 144 5 clock clock NN 35024 144 6 was be VBD 35024 144 7 used use VBN 35024 144 8 only only RB 35024 144 9 to to TO 35024 144 10 time time NN 35024 144 11 the the DT 35024 144 12 swing swing NN 35024 144 13 of of IN 35024 144 14 a a DT 35024 144 15 detached detached JJ 35024 144 16 pendulum pendulum NN 35024 144 17 , , , 35024 144 18 by by IN 35024 144 19 the the DT 35024 144 20 method method NN 35024 144 21 of of IN 35024 144 22 " " `` 35024 144 23 coincidences coincidence NNS 35024 144 24 . . . 35024 144 25 " " '' 35024 145 1 In in IN 35024 145 2 this this DT 35024 145 3 method method NN 35024 145 4 , , , 35024 145 5 invented invent VBN 35024 145 6 by by IN 35024 145 7 J. J. NNP 35024 145 8 J. J. NNP 35024 145 9 Mairan Mairan NNP 35024 145 10 , , , 35024 145 11 the the DT 35024 145 12 length length NN 35024 145 13 of of IN 35024 145 14 the the DT 35024 145 15 detached detached JJ 35024 145 16 pendulum pendulum NN 35024 145 17 is be VBZ 35024 145 18 first first RB 35024 145 19 accurately accurately RB 35024 145 20 measured measure VBN 35024 145 21 , , , 35024 145 22 and and CC 35024 145 23 the the DT 35024 145 24 clock clock NN 35024 145 25 is be VBZ 35024 145 26 corrected correct VBN 35024 145 27 by by IN 35024 145 28 astronomical astronomical JJ 35024 145 29 observation observation NN 35024 145 30 . . . 35024 146 1 The the DT 35024 146 2 detached detached JJ 35024 146 3 pendulum pendulum NN 35024 146 4 is be VBZ 35024 146 5 then then RB 35024 146 6 swung swing VBN 35024 146 7 before before IN 35024 146 8 the the DT 35024 146 9 clock clock NN 35024 146 10 pendulum pendulum NN 35024 146 11 as as IN 35024 146 12 shown show VBN 35024 146 13 here here RB 35024 146 14 . . . 35024 147 1 The the DT 35024 147 2 two two CD 35024 147 3 pendulums pendulum NNS 35024 147 4 swing swing VBP 35024 147 5 more more RBR 35024 147 6 or or CC 35024 147 7 less less RBR 35024 147 8 out out IN 35024 147 9 of of IN 35024 147 10 phase phase NN 35024 147 11 , , , 35024 147 12 coming come VBG 35024 147 13 into into IN 35024 147 14 coincidence coincidence NN 35024 147 15 each each DT 35024 147 16 time time NN 35024 147 17 one one NN 35024 147 18 has have VBZ 35024 147 19 gained gain VBN 35024 147 20 a a DT 35024 147 21 vibration vibration NN 35024 147 22 . . . 35024 148 1 By by IN 35024 148 2 counting count VBG 35024 148 3 the the DT 35024 148 4 number number NN 35024 148 5 of of IN 35024 148 6 coincidences coincidence NNS 35024 148 7 over over IN 35024 148 8 several several JJ 35024 148 9 hours hour NNS 35024 148 10 , , , 35024 148 11 the the DT 35024 148 12 period period NN 35024 148 13 of of IN 35024 148 14 the the DT 35024 148 15 detached detach VBN 35024 148 16 pendulum pendulum NN 35024 148 17 can can MD 35024 148 18 be be VB 35024 148 19 very very RB 35024 148 20 accurately accurately RB 35024 148 21 determined determined JJ 35024 148 22 . . . 35024 149 1 The the DT 35024 149 2 length length NN 35024 149 3 and and CC 35024 149 4 period period NN 35024 149 5 of of IN 35024 149 6 the the DT 35024 149 7 detached detached JJ 35024 149 8 pendulum pendulum NN 35024 149 9 are be VBP 35024 149 10 the the DT 35024 149 11 data datum NNS 35024 149 12 required require VBN 35024 149 13 for for IN 35024 149 14 the the DT 35024 149 15 calculation calculation NN 35024 149 16 of of IN 35024 149 17 the the DT 35024 149 18 force force NN 35024 149 19 of of IN 35024 149 20 gravity gravity NN 35024 149 21 . . . 35024 149 22 ] ] -RRB- 35024 150 1 The the DT 35024 150 2 period period NN 35024 150 3 from from IN 35024 150 4 Eratosthenes Eratosthenes NNP 35024 150 5 to to IN 35024 150 6 Picard Picard NNP 35024 150 7 has have VBZ 35024 150 8 been be VBN 35024 150 9 called call VBN 35024 150 10 the the DT 35024 150 11 spherical spherical JJ 35024 150 12 era era NN 35024 150 13 of of IN 35024 150 14 geodesy geodesy NN 35024 150 15 ; ; : 35024 150 16 the the DT 35024 150 17 period period NN 35024 150 18 from from IN 35024 150 19 Picard Picard NNP 35024 150 20 to to IN 35024 150 21 the the DT 35024 150 22 end end NN 35024 150 23 of of IN 35024 150 24 the the DT 35024 150 25 19th 19th JJ 35024 150 26 century century NN 35024 150 27 has have VBZ 35024 150 28 been be VBN 35024 150 29 called call VBN 35024 150 30 the the DT 35024 150 31 ellipsoidal ellipsoidal JJ 35024 150 32 period period NN 35024 150 33 . . . 35024 151 1 During during IN 35024 151 2 the the DT 35024 151 3 latter latter JJ 35024 151 4 period period NN 35024 151 5 the the DT 35024 151 6 earth earth NN 35024 151 7 was be VBD 35024 151 8 conceived conceive VBN 35024 151 9 to to TO 35024 151 10 be be VB 35024 151 11 an an DT 35024 151 12 ellipsoid ellipsoid NN 35024 151 13 , , , 35024 151 14 and and CC 35024 151 15 the the DT 35024 151 16 determination determination NN 35024 151 17 of of IN 35024 151 18 its -PRON- PRP$ 35024 151 19 ellipticity ellipticity NN 35024 151 20 , , , 35024 151 21 that that RB 35024 151 22 is is RB 35024 151 23 , , , 35024 151 24 the the DT 35024 151 25 difference difference NN 35024 151 26 of of IN 35024 151 27 equatorial equatorial JJ 35024 151 28 radius radius NN 35024 151 29 and and CC 35024 151 30 polar polar JJ 35024 151 31 radius radius NN 35024 151 32 divided divide VBN 35024 151 33 by by IN 35024 151 34 the the DT 35024 151 35 equatorial equatorial JJ 35024 151 36 radius radius NN 35024 151 37 , , , 35024 151 38 became become VBD 35024 151 39 an an DT 35024 151 40 important important JJ 35024 151 41 geodetic geodetic JJ 35024 151 42 problem problem NN 35024 151 43 . . . 35024 152 1 A a DT 35024 152 2 significant significant JJ 35024 152 3 contribution contribution NN 35024 152 4 to to IN 35024 152 5 the the DT 35024 152 6 solution solution NN 35024 152 7 of of IN 35024 152 8 this this DT 35024 152 9 problem problem NN 35024 152 10 was be VBD 35024 152 11 made make VBN 35024 152 12 by by IN 35024 152 13 determinations determination NNS 35024 152 14 of of IN 35024 152 15 gravity gravity NN 35024 152 16 by by IN 35024 152 17 the the DT 35024 152 18 pendulum pendulum NN 35024 152 19 . . . 35024 153 1 An an DT 35024 153 2 epoch epoch NN 35024 153 3 - - HYPH 35024 153 4 making make VBG 35024 153 5 work work NN 35024 153 6 during during IN 35024 153 7 the the DT 35024 153 8 ellipsoidal ellipsoidal JJ 35024 153 9 era era NN 35024 153 10 of of IN 35024 153 11 geodesy geodesy NN 35024 153 12 was be VBD 35024 153 13 Clairaut Clairaut NNP 35024 153 14 's 's POS 35024 153 15 treatise treatise NN 35024 153 16 , , , 35024 153 17 _ _ NNP 35024 153 18 Théorie Théorie NNP 35024 153 19 de de IN 35024 153 20 la la NNP 35024 153 21 figure figure NNP 35024 153 22 de de FW 35024 153 23 la la NNP 35024 153 24 terre terre NNP 35024 153 25 _ _ NNP 35024 153 26 . . . 35024 154 1 [ [ -LRB- 35024 154 2 14 14 CD 35024 154 3 ] ] -RRB- 35024 154 4 On on IN 35024 154 5 the the DT 35024 154 6 hypothesis hypothesis NN 35024 154 7 that that IN 35024 154 8 the the DT 35024 154 9 earth earth NN 35024 154 10 is be VBZ 35024 154 11 a a DT 35024 154 12 spheroid spheroid NN 35024 154 13 of of IN 35024 154 14 equilibrium equilibrium NN 35024 154 15 , , , 35024 154 16 that that RB 35024 154 17 is is RB 35024 154 18 , , , 35024 154 19 such such JJ 35024 154 20 that that IN 35024 154 21 a a DT 35024 154 22 layer layer NN 35024 154 23 of of IN 35024 154 24 water water NN 35024 154 25 would would MD 35024 154 26 spread spread VB 35024 154 27 all all RB 35024 154 28 over over IN 35024 154 29 it -PRON- PRP 35024 154 30 , , , 35024 154 31 and and CC 35024 154 32 that that IN 35024 154 33 the the DT 35024 154 34 internal internal JJ 35024 154 35 density density NN 35024 154 36 varies vary VBZ 35024 154 37 so so IN 35024 154 38 that that IN 35024 154 39 layers layer NNS 35024 154 40 of of IN 35024 154 41 equal equal JJ 35024 154 42 density density NN 35024 154 43 are be VBP 35024 154 44 coaxial coaxial JJ 35024 154 45 spheroids spheroid NNS 35024 154 46 , , , 35024 154 47 Clairaut Clairaut NNP 35024 154 48 derived derive VBD 35024 154 49 a a DT 35024 154 50 historic historic JJ 35024 154 51 theorem theorem NN 35024 154 52 : : : 35024 154 53 If if IN 35024 154 54 [ [ -LRB- 35024 154 55 gamma]_{E gamma]_{E NNS 35024 154 56 } } -RRB- 35024 154 57 , , , 35024 154 58 [ [ -LRB- 35024 154 59 gamma]_{P gamma]_{p NN 35024 154 60 } } -RRB- 35024 154 61 are be VBP 35024 154 62 the the DT 35024 154 63 values value NNS 35024 154 64 of of IN 35024 154 65 gravity gravity NN 35024 154 66 at at IN 35024 154 67 the the DT 35024 154 68 equator equator NN 35024 154 69 and and CC 35024 154 70 pole pole NN 35024 154 71 , , , 35024 154 72 respectively respectively RB 35024 154 73 , , , 35024 154 74 and and CC 35024 154 75 c c LS 35024 154 76 the the DT 35024 154 77 centrifugal centrifugal JJ 35024 154 78 force force NN 35024 154 79 at at IN 35024 154 80 the the DT 35024 154 81 equator equator NN 35024 154 82 divided divide VBN 35024 154 83 by by IN 35024 154 84 [ [ -LRB- 35024 154 85 gamma]_{E gamma]_{E NNP 35024 154 86 } } -RRB- 35024 154 87 , , , 35024 154 88 then then RB 35024 154 89 the the DT 35024 154 90 ellipticity ellipticity NN 35024 154 91 [ [ -LRB- 35024 154 92 alpha alpha NN 35024 154 93 ] ] -RRB- 35024 154 94 = = FW 35024 154 95 ( ( -LRB- 35024 154 96 5/2)c 5/2)c NN 35024 154 97 - - HYPH 35024 154 98 ( ( -LRB- 35024 154 99 [ [ -LRB- 35024 154 100 gamma]_{P gamma]_{P NNP 35024 154 101 } } -RRB- 35024 154 102 - - : 35024 154 103 [ [ -LRB- 35024 154 104 gamma]_{E})/[gamma]_{E gamma]_{E})/[gamma]_{E NNP 35024 154 105 } } -RRB- 35024 154 106 . . . 35024 155 1 Laplace Laplace NNP 35024 155 2 showed show VBD 35024 155 3 that that IN 35024 155 4 the the DT 35024 155 5 surfaces surface NNS 35024 155 6 of of IN 35024 155 7 equal equal JJ 35024 155 8 density density NN 35024 155 9 might may MD 35024 155 10 have have VB 35024 155 11 any any DT 35024 155 12 nearly nearly RB 35024 155 13 spherical spherical JJ 35024 155 14 form form NN 35024 155 15 , , , 35024 155 16 and and CC 35024 155 17 Stokes Stokes NNP 35024 155 18 showed show VBD 35024 155 19 that that IN 35024 155 20 it -PRON- PRP 35024 155 21 is be VBZ 35024 155 22 unnecessary unnecessary JJ 35024 155 23 to to TO 35024 155 24 assume assume VB 35024 155 25 any any DT 35024 155 26 law law NN 35024 155 27 of of IN 35024 155 28 density density NN 35024 155 29 as as RB 35024 155 30 long long RB 35024 155 31 as as IN 35024 155 32 the the DT 35024 155 33 external external JJ 35024 155 34 surface surface NN 35024 155 35 is be VBZ 35024 155 36 a a DT 35024 155 37 spheroid spheroid NN 35024 155 38 of of IN 35024 155 39 equilibrium equilibrium NN 35024 155 40 . . . 35024 156 1 [ [ -LRB- 35024 156 2 15 15 CD 35024 156 3 ] ] -RRB- 35024 156 4 It -PRON- PRP 35024 156 5 follows follow VBZ 35024 156 6 from from IN 35024 156 7 Clairaut Clairaut NNP 35024 156 8 's 's POS 35024 156 9 theorem theorem NN 35024 156 10 that that IN 35024 156 11 if if IN 35024 156 12 the the DT 35024 156 13 earth earth NN 35024 156 14 is be VBZ 35024 156 15 an an DT 35024 156 16 oblate oblate JJ 35024 156 17 spheroid spheroid NN 35024 156 18 , , , 35024 156 19 its -PRON- PRP$ 35024 156 20 ellipticity ellipticity NN 35024 156 21 can can MD 35024 156 22 be be VB 35024 156 23 determined determine VBN 35024 156 24 from from IN 35024 156 25 relative relative JJ 35024 156 26 values value NNS 35024 156 27 of of IN 35024 156 28 gravity gravity NN 35024 156 29 and and CC 35024 156 30 the the DT 35024 156 31 absolute absolute JJ 35024 156 32 value value NN 35024 156 33 at at IN 35024 156 34 the the DT 35024 156 35 equator equator NN 35024 156 36 involved involve VBN 35024 156 37 in in IN 35024 156 38 c. c. NNP 35024 156 39 Observations observation NNS 35024 156 40 with with IN 35024 156 41 nonreversible nonreversible JJ 35024 156 42 , , , 35024 156 43 invariable invariable JJ 35024 156 44 compound compound NN 35024 156 45 pendulums pendulum NNS 35024 156 46 have have VBP 35024 156 47 contributed contribute VBN 35024 156 48 to to IN 35024 156 49 the the DT 35024 156 50 application application NN 35024 156 51 of of IN 35024 156 52 Clairaut Clairaut NNP 35024 156 53 's 's POS 35024 156 54 theorem theorem NN 35024 156 55 in in IN 35024 156 56 its -PRON- PRP$ 35024 156 57 original original JJ 35024 156 58 and and CC 35024 156 59 contemporary contemporary JJ 35024 156 60 extended extended JJ 35024 156 61 form form NN 35024 156 62 for for IN 35024 156 63 the the DT 35024 156 64 determination determination NN 35024 156 65 of of IN 35024 156 66 the the DT 35024 156 67 figure figure NN 35024 156 68 and and CC 35024 156 69 gravity gravity NN 35024 156 70 field field NN 35024 156 71 of of IN 35024 156 72 the the DT 35024 156 73 earth earth NN 35024 156 74 . . . 35024 157 1 Early early JJ 35024 157 2 Types type NNS 35024 157 3 of of IN 35024 157 4 Pendulums Pendulums NNPS 35024 157 5 The the DT 35024 157 6 pendulum pendulum NN 35024 157 7 employed employ VBN 35024 157 8 in in IN 35024 157 9 observations observation NNS 35024 157 10 of of IN 35024 157 11 gravity gravity NN 35024 157 12 prior prior RB 35024 157 13 to to IN 35024 157 14 the the DT 35024 157 15 19th 19th JJ 35024 157 16 century century NN 35024 157 17 usually usually RB 35024 157 18 consisted consist VBD 35024 157 19 of of IN 35024 157 20 a a DT 35024 157 21 small small JJ 35024 157 22 weight weight NN 35024 157 23 suspended suspend VBN 35024 157 24 by by IN 35024 157 25 a a DT 35024 157 26 filament filament NN 35024 157 27 ( ( -LRB- 35024 157 28 figs fig NNS 35024 157 29 . . . 35024 158 1 4 4 CD 35024 158 2 - - SYM 35024 158 3 6 6 CD 35024 158 4 ) ) -RRB- 35024 158 5 . . . 35024 159 1 The the DT 35024 159 2 pioneer pioneer NN 35024 159 3 experimenters experimenter VBZ 35024 159 4 with with IN 35024 159 5 " " `` 35024 159 6 simple simple JJ 35024 159 7 " " '' 35024 159 8 pendulums pendulum NNS 35024 159 9 changed change VBD 35024 159 10 the the DT 35024 159 11 length length NN 35024 159 12 of of IN 35024 159 13 the the DT 35024 159 14 suspension suspension NN 35024 159 15 until until IN 35024 159 16 the the DT 35024 159 17 pendulum pendulum NN 35024 159 18 beat beat VBD 35024 159 19 seconds second NNS 35024 159 20 . . . 35024 160 1 Picard Picard NNP 35024 160 2 in in IN 35024 160 3 1669 1669 CD 35024 160 4 determined determine VBD 35024 160 5 the the DT 35024 160 6 length length NN 35024 160 7 of of IN 35024 160 8 the the DT 35024 160 9 seconds second NNS 35024 160 10 pendulum pendulum NN 35024 160 11 at at IN 35024 160 12 Paris Paris NNP 35024 160 13 with with IN 35024 160 14 a a DT 35024 160 15 " " `` 35024 160 16 simple simple JJ 35024 160 17 " " '' 35024 160 18 pendulum pendulum NN 35024 160 19 which which WDT 35024 160 20 consisted consist VBD 35024 160 21 of of IN 35024 160 22 a a DT 35024 160 23 copper copper NN 35024 160 24 ball ball NN 35024 160 25 an an DT 35024 160 26 inch inch NN 35024 160 27 in in IN 35024 160 28 diameter diameter NN 35024 160 29 suspended suspend VBN 35024 160 30 by by IN 35024 160 31 a a DT 35024 160 32 fiber fiber NN 35024 160 33 of of IN 35024 160 34 pite pite NNP 35024 160 35 from from IN 35024 160 36 jaws jaws NNP 35024 160 37 ( ( -LRB- 35024 160 38 pite pite NNP 35024 160 39 was be VBD 35024 160 40 a a DT 35024 160 41 preparation preparation NN 35024 160 42 of of IN 35024 160 43 the the DT 35024 160 44 leaf leaf NN 35024 160 45 of of IN 35024 160 46 a a DT 35024 160 47 species species NN 35024 160 48 of of IN 35024 160 49 aloe aloe NNP 35024 160 50 and and CC 35024 160 51 was be VBD 35024 160 52 not not RB 35024 160 53 affected affect VBN 35024 160 54 appreciably appreciably RB 35024 160 55 by by IN 35024 160 56 moisture moisture NN 35024 160 57 ) ) -RRB- 35024 160 58 . . . 35024 161 1 A a DT 35024 161 2 celebrated celebrated JJ 35024 161 3 set set NN 35024 161 4 of of IN 35024 161 5 experiments experiment NNS 35024 161 6 with with IN 35024 161 7 a a DT 35024 161 8 " " `` 35024 161 9 simple simple JJ 35024 161 10 " " '' 35024 161 11 pendulum pendulum NN 35024 161 12 was be VBD 35024 161 13 conducted conduct VBN 35024 161 14 by by IN 35024 161 15 Bouguer[16 Bouguer[16 NNP 35024 161 16 ] ] -RRB- 35024 161 17 in in IN 35024 161 18 1737 1737 CD 35024 161 19 in in IN 35024 161 20 the the DT 35024 161 21 Andes Andes NNP 35024 161 22 , , , 35024 161 23 as as IN 35024 161 24 part part NN 35024 161 25 of of IN 35024 161 26 the the DT 35024 161 27 expedition expedition NN 35024 161 28 to to TO 35024 161 29 measure measure VB 35024 161 30 the the DT 35024 161 31 Peruvian peruvian JJ 35024 161 32 arc arc NN 35024 161 33 . . . 35024 162 1 The the DT 35024 162 2 bob bob NN 35024 162 3 of of IN 35024 162 4 the the DT 35024 162 5 pendulum pendulum NN 35024 162 6 was be VBD 35024 162 7 a a DT 35024 162 8 double double JJ 35024 162 9 truncated truncate VBN 35024 162 10 cone cone NN 35024 162 11 , , , 35024 162 12 and and CC 35024 162 13 the the DT 35024 162 14 length length NN 35024 162 15 was be VBD 35024 162 16 measured measure VBN 35024 162 17 from from IN 35024 162 18 the the DT 35024 162 19 jaw jaw NN 35024 162 20 suspension suspension NN 35024 162 21 to to IN 35024 162 22 the the DT 35024 162 23 center center NN 35024 162 24 of of IN 35024 162 25 oscillation oscillation NN 35024 162 26 of of IN 35024 162 27 the the DT 35024 162 28 thread thread NN 35024 162 29 and and CC 35024 162 30 bob bob NNP 35024 162 31 . . . 35024 163 1 Bouguer Bouguer NNP 35024 163 2 allowed allow VBN 35024 163 3 for for IN 35024 163 4 change change NN 35024 163 5 of of IN 35024 163 6 length length NN 35024 163 7 of of IN 35024 163 8 his -PRON- PRP$ 35024 163 9 measuring measure VBG 35024 163 10 rod rod NN 35024 163 11 with with IN 35024 163 12 temperature temperature NN 35024 163 13 and and CC 35024 163 14 also also RB 35024 163 15 for for IN 35024 163 16 the the DT 35024 163 17 buoyancy buoyancy NN 35024 163 18 of of IN 35024 163 19 the the DT 35024 163 20 air air NN 35024 163 21 . . . 35024 164 1 He -PRON- PRP 35024 164 2 determined determine VBD 35024 164 3 the the DT 35024 164 4 time time NN 35024 164 5 of of IN 35024 164 6 swing swing NN 35024 164 7 by by IN 35024 164 8 an an DT 35024 164 9 elementary elementary JJ 35024 164 10 form form NN 35024 164 11 of of IN 35024 164 12 the the DT 35024 164 13 method method NN 35024 164 14 of of IN 35024 164 15 coincidences coincidence NNS 35024 164 16 . . . 35024 165 1 The the DT 35024 165 2 thread thread NN 35024 165 3 of of IN 35024 165 4 the the DT 35024 165 5 pendulum pendulum NN 35024 165 6 was be VBD 35024 165 7 swung swing VBN 35024 165 8 in in IN 35024 165 9 front front NN 35024 165 10 of of IN 35024 165 11 a a DT 35024 165 12 scale scale NN 35024 165 13 and and CC 35024 165 14 Bouguer Bouguer NNP 35024 165 15 observed observe VBD 35024 165 16 how how WRB 35024 165 17 long long RB 35024 165 18 it -PRON- PRP 35024 165 19 took take VBD 35024 165 20 the the DT 35024 165 21 pendulum pendulum NN 35024 165 22 to to TO 35024 165 23 lose lose VB 35024 165 24 a a DT 35024 165 25 number number NN 35024 165 26 of of IN 35024 165 27 vibrations vibration NNS 35024 165 28 on on IN 35024 165 29 the the DT 35024 165 30 seconds second NNS 35024 165 31 clock clock NN 35024 165 32 . . . 35024 166 1 For for IN 35024 166 2 this this DT 35024 166 3 purpose purpose NN 35024 166 4 , , , 35024 166 5 he -PRON- PRP 35024 166 6 noted note VBD 35024 166 7 the the DT 35024 166 8 time time NN 35024 166 9 when when WRB 35024 166 10 the the DT 35024 166 11 beat beat NN 35024 166 12 of of IN 35024 166 13 the the DT 35024 166 14 clock clock NN 35024 166 15 was be VBD 35024 166 16 heard hear VBN 35024 166 17 and and CC 35024 166 18 , , , 35024 166 19 simultaneously simultaneously RB 35024 166 20 , , , 35024 166 21 the the DT 35024 166 22 thread thread NN 35024 166 23 moved move VBD 35024 166 24 past past IN 35024 166 25 the the DT 35024 166 26 center center NN 35024 166 27 of of IN 35024 166 28 the the DT 35024 166 29 scale scale NN 35024 166 30 . . . 35024 167 1 A a DT 35024 167 2 historic historic JJ 35024 167 3 aspect aspect NN 35024 167 4 of of IN 35024 167 5 Bouguer Bouguer NNP 35024 167 6 's 's POS 35024 167 7 method method NN 35024 167 8 was be VBD 35024 167 9 that that IN 35024 167 10 he -PRON- PRP 35024 167 11 employed employ VBD 35024 167 12 an an DT 35024 167 13 " " `` 35024 167 14 invariable invariable JJ 35024 167 15 " " '' 35024 167 16 pendulum pendulum NN 35024 167 17 , , , 35024 167 18 that that RB 35024 167 19 is is RB 35024 167 20 , , , 35024 167 21 the the DT 35024 167 22 length length NN 35024 167 23 was be VBD 35024 167 24 maintained maintain VBN 35024 167 25 the the DT 35024 167 26 same same JJ 35024 167 27 at at IN 35024 167 28 the the DT 35024 167 29 various various JJ 35024 167 30 stations station NNS 35024 167 31 of of IN 35024 167 32 observation observation NN 35024 167 33 , , , 35024 167 34 a a DT 35024 167 35 procedure procedure NN 35024 167 36 that that WDT 35024 167 37 has have VBZ 35024 167 38 been be VBN 35024 167 39 described describe VBN 35024 167 40 as as IN 35024 167 41 having have VBG 35024 167 42 been be VBN 35024 167 43 invented invent VBN 35024 167 44 by by IN 35024 167 45 Bouguer Bouguer NNP 35024 167 46 . . . 35024 168 1 Since since IN 35024 168 2 T t NN 35024 168 3 = = SYM 35024 168 4 [ [ -LRB- 35024 168 5 pi][sqrt](l pi][sqrt](l NNP 35024 168 6 / / SYM 35024 168 7 g g NNP 35024 168 8 ) ) -RRB- 35024 168 9 , , , 35024 168 10 it -PRON- PRP 35024 168 11 follows follow VBZ 35024 168 12 that that IN 35024 168 13 ( ( -LRB- 35024 168 14 T_{1})^{2}/(T_{2})^{2 t_{1})^{2}/(t_{2})^{2 NN 35024 168 15 } } -RRB- 35024 168 16 = = SYM 35024 168 17 g_{2}/g_{1 g_{2}/g_{1 NNP 35024 168 18 } } -RRB- 35024 168 19 . . . 35024 169 1 Thus thus RB 35024 169 2 , , , 35024 169 3 if if IN 35024 169 4 the the DT 35024 169 5 absolute absolute JJ 35024 169 6 value value NN 35024 169 7 of of IN 35024 169 8 gravity gravity NN 35024 169 9 is be VBZ 35024 169 10 known know VBN 35024 169 11 at at IN 35024 169 12 one one CD 35024 169 13 station station NN 35024 169 14 , , , 35024 169 15 the the DT 35024 169 16 value value NN 35024 169 17 at at IN 35024 169 18 any any DT 35024 169 19 other other JJ 35024 169 20 station station NN 35024 169 21 can can MD 35024 169 22 be be VB 35024 169 23 determined determine VBN 35024 169 24 from from IN 35024 169 25 the the DT 35024 169 26 ratio ratio NN 35024 169 27 of of IN 35024 169 28 the the DT 35024 169 29 squares square NNS 35024 169 30 of of IN 35024 169 31 times time NNS 35024 169 32 of of IN 35024 169 33 swing swing NN 35024 169 34 of of IN 35024 169 35 an an DT 35024 169 36 invariable invariable JJ 35024 169 37 pendulum pendulum NN 35024 169 38 at at IN 35024 169 39 the the DT 35024 169 40 two two CD 35024 169 41 stations station NNS 35024 169 42 . . . 35024 170 1 From from IN 35024 170 2 the the DT 35024 170 3 above above JJ 35024 170 4 equation equation NN 35024 170 5 , , , 35024 170 6 if if IN 35024 170 7 T_{1 T_{1 NNP 35024 170 8 } } -RRB- 35024 170 9 is be VBZ 35024 170 10 the the DT 35024 170 11 time time NN 35024 170 12 of of IN 35024 170 13 swing swing NN 35024 170 14 at at IN 35024 170 15 a a DT 35024 170 16 station station NN 35024 170 17 where where WRB 35024 170 18 the the DT 35024 170 19 intensity intensity NN 35024 170 20 of of IN 35024 170 21 gravity gravity NN 35024 170 22 is be VBZ 35024 170 23 g g NN 35024 170 24 , , , 35024 170 25 and and CC 35024 170 26 T_{2 T_{2 NNP 35024 170 27 } } -RRB- 35024 170 28 is be VBZ 35024 170 29 the the DT 35024 170 30 time time NN 35024 170 31 at at IN 35024 170 32 a a DT 35024 170 33 station station NN 35024 170 34 where where WRB 35024 170 35 the the DT 35024 170 36 intensity intensity NN 35024 170 37 is be VBZ 35024 170 38 g g NN 35024 170 39 + + CC 35024 170 40 [ [ -LRB- 35024 170 41 Delta]g Delta]g NNP 35024 170 42 , , , 35024 170 43 then then RB 35024 170 44 [ [ -LRB- 35024 170 45 Delta]g Delta]g NNP 35024 170 46 / / SYM 35024 170 47 g g NNP 35024 170 48 = = NFP 35024 170 49 ( ( -LRB- 35024 170 50 T_{1})^{2}/(T_{2})^{2 T_{1})^{2}/(T_{2})^{2 NNP 35024 170 51 } } -RRB- 35024 170 52 - - SYM 35024 170 53 1 1 CD 35024 170 54 . . . 35024 171 1 Bouguer Bouguer NNP 35024 171 2 's 's POS 35024 171 3 investigations investigation NNS 35024 171 4 with with IN 35024 171 5 his -PRON- PRP$ 35024 171 6 invariable invariable JJ 35024 171 7 pendulum pendulum NN 35024 171 8 yielded yield VBN 35024 171 9 methods method NNS 35024 171 10 for for IN 35024 171 11 the the DT 35024 171 12 determination determination NN 35024 171 13 of of IN 35024 171 14 the the DT 35024 171 15 internal internal JJ 35024 171 16 structure structure NN 35024 171 17 of of IN 35024 171 18 the the DT 35024 171 19 earth earth NN 35024 171 20 . . . 35024 172 1 On on IN 35024 172 2 the the DT 35024 172 3 Peruvian peruvian JJ 35024 172 4 expedition expedition NN 35024 172 5 , , , 35024 172 6 he -PRON- PRP 35024 172 7 determined determine VBD 35024 172 8 the the DT 35024 172 9 length length NN 35024 172 10 of of IN 35024 172 11 the the DT 35024 172 12 seconds second NNS 35024 172 13 pendulum pendulum NN 35024 172 14 at at IN 35024 172 15 three three CD 35024 172 16 stations station NNS 35024 172 17 , , , 35024 172 18 including include VBG 35024 172 19 one one CD 35024 172 20 at at IN 35024 172 21 Quito Quito NNP 35024 172 22 , , , 35024 172 23 at at IN 35024 172 24 varying vary VBG 35024 172 25 distances distance NNS 35024 172 26 above above IN 35024 172 27 sea sea NN 35024 172 28 level level NN 35024 172 29 . . . 35024 173 1 If if IN 35024 173 2 values value NNS 35024 173 3 of of IN 35024 173 4 gravity gravity NN 35024 173 5 at at IN 35024 173 6 stations station NNS 35024 173 7 of of IN 35024 173 8 different different JJ 35024 173 9 elevation elevation NN 35024 173 10 are be VBP 35024 173 11 to to TO 35024 173 12 be be VB 35024 173 13 compared compare VBN 35024 173 14 , , , 35024 173 15 they -PRON- PRP 35024 173 16 must must MD 35024 173 17 be be VB 35024 173 18 reduced reduce VBN 35024 173 19 to to IN 35024 173 20 the the DT 35024 173 21 same same JJ 35024 173 22 level level NN 35024 173 23 , , , 35024 173 24 usually usually RB 35024 173 25 to to IN 35024 173 26 sea sea NN 35024 173 27 level level NN 35024 173 28 . . . 35024 174 1 Since since IN 35024 174 2 gravity gravity NN 35024 174 3 decreases decrease VBZ 35024 174 4 with with IN 35024 174 5 height height NN 35024 174 6 above above IN 35024 174 7 sea sea NN 35024 174 8 level level NN 35024 174 9 in in IN 35024 174 10 accordance accordance NN 35024 174 11 with with IN 35024 174 12 the the DT 35024 174 13 law law NN 35024 174 14 of of IN 35024 174 15 gravitation gravitation NN 35024 174 16 , , , 35024 174 17 a a DT 35024 174 18 free free JJ 35024 174 19 - - HYPH 35024 174 20 air air NN 35024 174 21 reduction reduction NN 35024 174 22 must must MD 35024 174 23 be be VB 35024 174 24 applied apply VBN 35024 174 25 to to IN 35024 174 26 values value NNS 35024 174 27 of of IN 35024 174 28 gravity gravity NN 35024 174 29 determined determine VBN 35024 174 30 above above IN 35024 174 31 the the DT 35024 174 32 level level NN 35024 174 33 of of IN 35024 174 34 the the DT 35024 174 35 sea sea NN 35024 174 36 . . . 35024 175 1 Bouguer Bouguer NNP 35024 175 2 originated originate VBD 35024 175 3 the the DT 35024 175 4 additional additional JJ 35024 175 5 reduction reduction NN 35024 175 6 for for IN 35024 175 7 the the DT 35024 175 8 increase increase NN 35024 175 9 in in IN 35024 175 10 gravity gravity NN 35024 175 11 on on IN 35024 175 12 a a DT 35024 175 13 mountain mountain NN 35024 175 14 or or CC 35024 175 15 plateau plateau NN 35024 175 16 caused cause VBN 35024 175 17 by by IN 35024 175 18 the the DT 35024 175 19 attraction attraction NN 35024 175 20 of of IN 35024 175 21 the the DT 35024 175 22 matter matter NN 35024 175 23 in in IN 35024 175 24 a a DT 35024 175 25 plate plate NN 35024 175 26 . . . 35024 176 1 From from IN 35024 176 2 the the DT 35024 176 3 relative relative JJ 35024 176 4 values value NNS 35024 176 5 of of IN 35024 176 6 gravity gravity NN 35024 176 7 at at IN 35024 176 8 elevated elevated JJ 35024 176 9 stations station NNS 35024 176 10 in in IN 35024 176 11 Peru Peru NNP 35024 176 12 and and CC 35024 176 13 at at IN 35024 176 14 sea sea NN 35024 176 15 level level NN 35024 176 16 , , , 35024 176 17 Bouguer Bouguer NNP 35024 176 18 calculated calculate VBD 35024 176 19 that that IN 35024 176 20 the the DT 35024 176 21 mean mean JJ 35024 176 22 density density NN 35024 176 23 of of IN 35024 176 24 the the DT 35024 176 25 earth earth NN 35024 176 26 was be VBD 35024 176 27 4.7 4.7 CD 35024 176 28 times time NNS 35024 176 29 greater great JJR 35024 176 30 than than IN 35024 176 31 that that DT 35024 176 32 of of IN 35024 176 33 the the DT 35024 176 34 _ _ NNP 35024 176 35 cordilleras cordilleras NNP 35024 176 36 _ _ NNP 35024 176 37 . . . 35024 177 1 [ [ -LRB- 35024 177 2 17 17 CD 35024 177 3 ] ] -RRB- 35024 177 4 For for IN 35024 177 5 greater great JJR 35024 177 6 accuracy accuracy NN 35024 177 7 in in IN 35024 177 8 the the DT 35024 177 9 study study NN 35024 177 10 of of IN 35024 177 11 the the DT 35024 177 12 internal internal JJ 35024 177 13 structure structure NN 35024 177 14 of of IN 35024 177 15 the the DT 35024 177 16 earth earth NN 35024 177 17 , , , 35024 177 18 in in IN 35024 177 19 the the DT 35024 177 20 19th 19th JJ 35024 177 21 century century NN 35024 177 22 the the DT 35024 177 23 Bouguer Bouguer NNP 35024 177 24 plate plate NN 35024 177 25 reduction reduction NN 35024 177 26 came come VBD 35024 177 27 to to TO 35024 177 28 be be VB 35024 177 29 supplemented supplement VBN 35024 177 30 by by IN 35024 177 31 corrections correction NNS 35024 177 32 for for IN 35024 177 33 irregularities irregularity NNS 35024 177 34 of of IN 35024 177 35 terrain terrain NN 35024 177 36 and and CC 35024 177 37 by by IN 35024 177 38 different different JJ 35024 177 39 types type NNS 35024 177 40 of of IN 35024 177 41 isostatic isostatic JJ 35024 177 42 reduction reduction NN 35024 177 43 . . . 35024 178 1 La La NNP 35024 178 2 Condamine Condamine NNP 35024 178 3 , , , 35024 178 4 who who WP 35024 178 5 like like IN 35024 178 6 Bouguer Bouguer NNP 35024 178 7 was be VBD 35024 178 8 a a DT 35024 178 9 member member NN 35024 178 10 of of IN 35024 178 11 the the DT 35024 178 12 Peruvian peruvian JJ 35024 178 13 expedition expedition NN 35024 178 14 , , , 35024 178 15 conducted conduct VBD 35024 178 16 his -PRON- PRP$ 35024 178 17 own own JJ 35024 178 18 pendulum pendulum NN 35024 178 19 experiments experiment NNS 35024 178 20 ( ( -LRB- 35024 178 21 fig fig VB 35024 178 22 . . . 35024 179 1 4 4 LS 35024 179 2 ) ) -RRB- 35024 179 3 . . . 35024 180 1 He -PRON- PRP 35024 180 2 experimented experiment VBD 35024 180 3 in in IN 35024 180 4 1735 1735 CD 35024 180 5 at at IN 35024 180 6 Santo Santo NNP 35024 180 7 Domingo Domingo NNP 35024 180 8 en en IN 35024 180 9 route route NN 35024 180 10 to to IN 35024 180 11 South South NNP 35024 180 12 America,[18 America,[18 NNP 35024 180 13 ] ] -RRB- 35024 180 14 then then RB 35024 180 15 at at IN 35024 180 16 various various JJ 35024 180 17 stations station NNS 35024 180 18 in in IN 35024 180 19 South South NNP 35024 180 20 America America NNP 35024 180 21 , , , 35024 180 22 and and CC 35024 180 23 again again RB 35024 180 24 at at IN 35024 180 25 Paris Paris NNP 35024 180 26 upon upon IN 35024 180 27 his -PRON- PRP$ 35024 180 28 return return NN 35024 180 29 to to IN 35024 180 30 France France NNP 35024 180 31 . . . 35024 181 1 His -PRON- PRP$ 35024 181 2 pendulum pendulum NN 35024 181 3 consisted consist VBD 35024 181 4 of of IN 35024 181 5 a a DT 35024 181 6 copper copper NN 35024 181 7 ball ball NN 35024 181 8 suspended suspend VBN 35024 181 9 by by IN 35024 181 10 a a DT 35024 181 11 thread thread NN 35024 181 12 of of IN 35024 181 13 pite pite NNP 35024 181 14 . . . 35024 182 1 For for IN 35024 182 2 experimentation experimentation NN 35024 182 3 the the DT 35024 182 4 length length NN 35024 182 5 initially initially RB 35024 182 6 was be VBD 35024 182 7 about about RB 35024 182 8 12 12 CD 35024 182 9 feet foot NNS 35024 182 10 , , , 35024 182 11 and and CC 35024 182 12 the the DT 35024 182 13 time time NN 35024 182 14 of of IN 35024 182 15 swing swing NN 35024 182 16 2 2 CD 35024 182 17 seconds second NNS 35024 182 18 , , , 35024 182 19 but but CC 35024 182 20 then then RB 35024 182 21 the the DT 35024 182 22 length length NN 35024 182 23 was be VBD 35024 182 24 reduced reduce VBN 35024 182 25 to to IN 35024 182 26 about about RB 35024 182 27 3 3 CD 35024 182 28 feet foot NNS 35024 182 29 with with IN 35024 182 30 time time NN 35024 182 31 of of IN 35024 182 32 swing swing NN 35024 182 33 1 1 CD 35024 182 34 second second NN 35024 182 35 . . . 35024 183 1 Earlier early RBR 35024 183 2 , , , 35024 183 3 when when WRB 35024 183 4 it -PRON- PRP 35024 183 5 was be VBD 35024 183 6 believed believe VBN 35024 183 7 that that IN 35024 183 8 gravity gravity NN 35024 183 9 was be VBD 35024 183 10 constant constant JJ 35024 183 11 over over IN 35024 183 12 the the DT 35024 183 13 earth earth NN 35024 183 14 , , , 35024 183 15 Picard Picard NNP 35024 183 16 and and CC 35024 183 17 others other NNS 35024 183 18 had have VBD 35024 183 19 proposed propose VBN 35024 183 20 that that IN 35024 183 21 the the DT 35024 183 22 length length NN 35024 183 23 of of IN 35024 183 24 the the DT 35024 183 25 seconds second NNS 35024 183 26 pendulum pendulum NN 35024 183 27 be be VB 35024 183 28 chosen choose VBN 35024 183 29 as as IN 35024 183 30 the the DT 35024 183 31 standard standard NN 35024 183 32 . . . 35024 184 1 La La NNP 35024 184 2 Condamine Condamine NNP 35024 184 3 in in IN 35024 184 4 1747 1747 CD 35024 184 5 revived revive VBD 35024 184 6 the the DT 35024 184 7 proposal proposal NN 35024 184 8 in in IN 35024 184 9 the the DT 35024 184 10 form form NN 35024 184 11 that that WDT 35024 184 12 the the DT 35024 184 13 length length NN 35024 184 14 of of IN 35024 184 15 the the DT 35024 184 16 seconds second NNS 35024 184 17 pendulum pendulum NN 35024 184 18 at at IN 35024 184 19 the the DT 35024 184 20 equator equator NN 35024 184 21 be be VB 35024 184 22 adopted adopt VBN 35024 184 23 as as IN 35024 184 24 the the DT 35024 184 25 standard standard NN 35024 184 26 of of IN 35024 184 27 length length NN 35024 184 28 . . . 35024 185 1 Subsequently subsequently RB 35024 185 2 , , , 35024 185 3 he -PRON- PRP 35024 185 4 investigated investigate VBD 35024 185 5 the the DT 35024 185 6 expansion expansion NN 35024 185 7 of of IN 35024 185 8 a a DT 35024 185 9 toise toise NN 35024 185 10 of of IN 35024 185 11 iron iron NN 35024 185 12 from from IN 35024 185 13 the the DT 35024 185 14 variation variation NN 35024 185 15 in in IN 35024 185 16 the the DT 35024 185 17 period period NN 35024 185 18 of of IN 35024 185 19 his -PRON- PRP$ 35024 185 20 pendulum pendulum NN 35024 185 21 . . . 35024 186 1 In in IN 35024 186 2 1755 1755 CD 35024 186 3 , , , 35024 186 4 he -PRON- PRP 35024 186 5 observed observe VBD 35024 186 6 the the DT 35024 186 7 pendulum pendulum NN 35024 186 8 at at IN 35024 186 9 Rome Rome NNP 35024 186 10 with with IN 35024 186 11 Boscovich Boscovich NNP 35024 186 12 . . . 35024 187 1 La La NNP 35024 187 2 Condamine Condamine NNP 35024 187 3 's 's POS 35024 187 4 pendulum pendulum NN 35024 187 5 was be VBD 35024 187 6 used use VBN 35024 187 7 by by IN 35024 187 8 other other JJ 35024 187 9 observers observer NNS 35024 187 10 and and CC 35024 187 11 finally finally RB 35024 187 12 was be VBD 35024 187 13 lost lose VBN 35024 187 14 at at IN 35024 187 15 sea sea NN 35024 187 16 on on IN 35024 187 17 an an DT 35024 187 18 expedition expedition NN 35024 187 19 around around IN 35024 187 20 the the DT 35024 187 21 world world NN 35024 187 22 . . . 35024 188 1 The the DT 35024 188 2 knowledge knowledge NN 35024 188 3 of of IN 35024 188 4 the the DT 35024 188 5 pendulum pendulum NN 35024 188 6 acquired acquire VBN 35024 188 7 by by IN 35024 188 8 the the DT 35024 188 9 end end NN 35024 188 10 of of IN 35024 188 11 the the DT 35024 188 12 18th 18th JJ 35024 188 13 century century NN 35024 188 14 was be VBD 35024 188 15 summarized summarize VBN 35024 188 16 in in IN 35024 188 17 1785 1785 CD 35024 188 18 in in IN 35024 188 19 a a DT 35024 188 20 memoir memoir NN 35024 188 21 by by IN 35024 188 22 Boscovich Boscovich NNP 35024 188 23 . . . 35024 189 1 [ [ -LRB- 35024 189 2 19 19 CD 35024 189 3 ] ] -RRB- 35024 189 4 [ [ -LRB- 35024 189 5 Illustration illustration NN 35024 189 6 : : : 35024 189 7 Figure figure VB 35024 189 8 5.--AN 5.--an CD 35024 189 9 APPARATUS apparatus NNS 35024 189 10 FOR for IN 35024 189 11 THE the DT 35024 189 12 PRACTICE practice NN 35024 189 13 MEASUREMENT MEASUREMENT NNP 35024 189 14 of of IN 35024 189 15 the the DT 35024 189 16 length length NN 35024 189 17 of of IN 35024 189 18 the the DT 35024 189 19 pendulum pendulum NN 35024 189 20 devised devise VBN 35024 189 21 on on IN 35024 189 22 the the DT 35024 189 23 basis basis NN 35024 189 24 of of IN 35024 189 25 a a DT 35024 189 26 series series NN 35024 189 27 of of IN 35024 189 28 preliminary preliminary JJ 35024 189 29 experiments experiment NNS 35024 189 30 by by IN 35024 189 31 C. C. NNP 35024 189 32 M. M. NNP 35024 189 33 de de NNP 35024 189 34 la la NNP 35024 189 35 Condamine Condamine NNP 35024 189 36 who who WP 35024 189 37 , , , 35024 189 38 in in IN 35024 189 39 the the DT 35024 189 40 course course NN 35024 189 41 of of IN 35024 189 42 the the DT 35024 189 43 French french JJ 35024 189 44 geodetic geodetic JJ 35024 189 45 expedition expedition NN 35024 189 46 to to IN 35024 189 47 Peru Peru NNP 35024 189 48 in in IN 35024 189 49 1735 1735 CD 35024 189 50 , , , 35024 189 51 devoted devote VBD 35024 189 52 a a DT 35024 189 53 3-month 3-month CD 35024 189 54 sojourn sojourn NN 35024 189 55 on on IN 35024 189 56 the the DT 35024 189 57 island island NN 35024 189 58 of of IN 35024 189 59 Santo Santo NNP 35024 189 60 Domingo Domingo NNP 35024 189 61 to to IN 35024 189 62 pendulum pendulum VB 35024 189 63 observations observation NNS 35024 189 64 by by IN 35024 189 65 Mairan Mairan NNP 35024 189 66 's 's POS 35024 189 67 Method Method NNP 35024 189 68 . . . 35024 190 1 In in IN 35024 190 2 this this DT 35024 190 3 arrangement arrangement NN 35024 190 4 , , , 35024 190 5 shown show VBN 35024 190 6 here here RB 35024 190 7 , , , 35024 190 8 a a DT 35024 190 9 vertical vertical JJ 35024 190 10 rod rod NN 35024 190 11 of of IN 35024 190 12 ironwood ironwood NN 35024 190 13 is be VBZ 35024 190 14 used use VBN 35024 190 15 both both DT 35024 190 16 as as IN 35024 190 17 the the DT 35024 190 18 scale scale NN 35024 190 19 and and CC 35024 190 20 as as IN 35024 190 21 the the DT 35024 190 22 support support NN 35024 190 23 for for IN 35024 190 24 the the DT 35024 190 25 apparatus apparatus NN 35024 190 26 , , , 35024 190 27 having have VBG 35024 190 28 at at IN 35024 190 29 its -PRON- PRP$ 35024 190 30 top top JJ 35024 190 31 the the DT 35024 190 32 brass brass NN 35024 190 33 pendulum pendulum NN 35024 190 34 support support NN 35024 190 35 ( ( -LRB- 35024 190 36 A a NN 35024 190 37 ) ) -RRB- 35024 190 38 and and CC 35024 190 39 , , , 35024 190 40 below below RB 35024 190 41 , , , 35024 190 42 a a DT 35024 190 43 horizontal horizontal JJ 35024 190 44 mirror mirror NN 35024 190 45 ( ( -LRB- 35024 190 46 O o NN 35024 190 47 ) ) -RRB- 35024 190 48 which which WDT 35024 190 49 serves serve VBZ 35024 190 50 to to TO 35024 190 51 align align VB 35024 190 52 the the DT 35024 190 53 apparatus apparatus NN 35024 190 54 vertically vertically RB 35024 190 55 through through IN 35024 190 56 visual visual JJ 35024 190 57 observation observation NN 35024 190 58 of of IN 35024 190 59 the the DT 35024 190 60 reflection reflection NN 35024 190 61 of of IN 35024 190 62 the the DT 35024 190 63 pointer pointer NN 35024 190 64 projecting projecting NN 35024 190 65 from from IN 35024 190 66 A. a. NN 35024 191 1 The the DT 35024 191 2 pendulum pendulum NN 35024 191 3 , , , 35024 191 4 about about RB 35024 191 5 37 37 CD 35024 191 6 inches inch NNS 35024 191 7 long long JJ 35024 191 8 , , , 35024 191 9 consists consist VBZ 35024 191 10 of of IN 35024 191 11 a a DT 35024 191 12 thread thread NN 35024 191 13 of of IN 35024 191 14 pite pite NNP 35024 191 15 ( ( -LRB- 35024 191 16 a a DT 35024 191 17 humidity humidity NN 35024 191 18 - - HYPH 35024 191 19 resistant resistant JJ 35024 191 20 , , , 35024 191 21 natural natural JJ 35024 191 22 fiber fiber NN 35024 191 23 ) ) -RRB- 35024 191 24 and and CC 35024 191 25 a a DT 35024 191 26 copper copper NN 35024 191 27 ball ball NN 35024 191 28 of of IN 35024 191 29 about about RB 35024 191 30 6 6 CD 35024 191 31 ounces ounce NNS 35024 191 32 . . . 35024 192 1 Its -PRON- PRP$ 35024 192 2 exact exact JJ 35024 192 3 length length NN 35024 192 4 is be VBZ 35024 192 5 determined determine VBN 35024 192 6 by by IN 35024 192 7 adjusting adjust VBG 35024 192 8 the the DT 35024 192 9 micrometer micrometer NN 35024 192 10 ( ( -LRB- 35024 192 11 S s NN 35024 192 12 ) ) -RRB- 35024 192 13 so so IN 35024 192 14 that that IN 35024 192 15 the the DT 35024 192 16 ball ball NN 35024 192 17 nearly nearly RB 35024 192 18 touches touch VBZ 35024 192 19 the the DT 35024 192 20 mirror mirror NN 35024 192 21 . . . 35024 193 1 It -PRON- PRP 35024 193 2 will will MD 35024 193 3 be be VB 35024 193 4 noted note VBN 35024 193 5 that that IN 35024 193 6 the the DT 35024 193 7 clock clock NN 35024 193 8 pendulum pendulum NN 35024 193 9 would would MD 35024 193 10 be be VB 35024 193 11 obscured obscure VBN 35024 193 12 by by IN 35024 193 13 the the DT 35024 193 14 scale scale NN 35024 193 15 . . . 35024 194 1 La La NNP 35024 194 2 Condamine Condamine NNP 35024 194 3 seems seem VBZ 35024 194 4 to to TO 35024 194 5 have have VB 35024 194 6 determined determine VBN 35024 194 7 the the DT 35024 194 8 times time NNS 35024 194 9 of of IN 35024 194 10 coincidence coincidence NN 35024 194 11 by by IN 35024 194 12 visual visual JJ 35024 194 13 observation observation NN 35024 194 14 of of IN 35024 194 15 the the DT 35024 194 16 occasions occasion NNS 35024 194 17 on on IN 35024 194 18 which which WDT 35024 194 19 " " `` 35024 194 20 the the DT 35024 194 21 pendulums pendulum NNS 35024 194 22 swing swing VBP 35024 194 23 parallel parallel NN 35024 194 24 . . . 35024 194 25 " " '' 35024 195 1 ( ( -LRB- 35024 195 2 Portion portion NN 35024 195 3 of of IN 35024 195 4 plate plate NN 35024 195 5 1 1 CD 35024 195 6 , , , 35024 195 7 _ _ NNP 35024 195 8 Mémoires Mémoires NNP 35024 195 9 publiés publiés NN 35024 195 10 par par NN 35024 195 11 la la FW 35024 195 12 Société Société NNP 35024 195 13 française française NN 35024 195 14 de de IN 35024 195 15 Physique Physique NNP 35024 195 16 _ _ NNP 35024 195 17 , , , 35024 195 18 vol vol NNP 35024 195 19 . . . 35024 196 1 4 4 LS 35024 196 2 . . . 35024 196 3 ) ) -RRB- 35024 196 4 ] ] -RRB- 35024 197 1 [ [ -LRB- 35024 197 2 Illustration illustration NN 35024 197 3 : : : 35024 197 4 Figure figure NN 35024 197 5 6.--THE 6.--the CD 35024 197 6 RESULT result NN 35024 197 7 of of IN 35024 197 8 early early JJ 35024 197 9 pendulum pendulum NN 35024 197 10 experiments experiment NNS 35024 197 11 was be VBD 35024 197 12 often often RB 35024 197 13 expressed express VBN 35024 197 14 in in IN 35024 197 15 terms term NNS 35024 197 16 of of IN 35024 197 17 the the DT 35024 197 18 length length NN 35024 197 19 of of IN 35024 197 20 a a DT 35024 197 21 pendulum pendulum NN 35024 197 22 which which WDT 35024 197 23 would would MD 35024 197 24 have have VB 35024 197 25 a a DT 35024 197 26 period period NN 35024 197 27 of of IN 35024 197 28 one one CD 35024 197 29 second second NN 35024 197 30 and and CC 35024 197 31 was be VBD 35024 197 32 called call VBN 35024 197 33 " " `` 35024 197 34 the the DT 35024 197 35 seconds second NNS 35024 197 36 pendulum pendulum NN 35024 197 37 . . . 35024 197 38 " " '' 35024 198 1 In in IN 35024 198 2 1792 1792 CD 35024 198 3 , , , 35024 198 4 J. J. NNP 35024 198 5 C. C. NNP 35024 198 6 Borda Borda NNP 35024 198 7 and and CC 35024 198 8 J. J. NNP 35024 198 9 D. D. NNP 35024 198 10 Cassini Cassini NNP 35024 198 11 determined determine VBD 35024 198 12 the the DT 35024 198 13 length length NN 35024 198 14 of of IN 35024 198 15 the the DT 35024 198 16 seconds second NNS 35024 198 17 pendulum pendulum NN 35024 198 18 at at IN 35024 198 19 Paris Paris NNP 35024 198 20 with with IN 35024 198 21 this this DT 35024 198 22 apparatus apparatus NN 35024 198 23 . . . 35024 199 1 The the DT 35024 199 2 pendulum pendulum NN 35024 199 3 consists consist VBZ 35024 199 4 of of IN 35024 199 5 a a DT 35024 199 6 platinum platinum NN 35024 199 7 ball ball NN 35024 199 8 about about RB 35024 199 9 1 1 CD 35024 199 10 - - SYM 35024 199 11 1/2 1/2 CD 35024 199 12 inches inch NNS 35024 199 13 in in IN 35024 199 14 diameter diameter NN 35024 199 15 , , , 35024 199 16 suspended suspend VBN 35024 199 17 by by IN 35024 199 18 a a DT 35024 199 19 fine fine JJ 35024 199 20 iron iron NN 35024 199 21 wire wire NN 35024 199 22 . . . 35024 200 1 The the DT 35024 200 2 length length NN 35024 200 3 , , , 35024 200 4 about about RB 35024 200 5 12 12 CD 35024 200 6 feet foot NNS 35024 200 7 , , , 35024 200 8 was be VBD 35024 200 9 such such JJ 35024 200 10 that that IN 35024 200 11 its -PRON- PRP$ 35024 200 12 period period NN 35024 200 13 would would MD 35024 200 14 be be VB 35024 200 15 nearly nearly RB 35024 200 16 twice twice RB 35024 200 17 as as RB 35024 200 18 long long RB 35024 200 19 as as IN 35024 200 20 that that DT 35024 200 21 of of IN 35024 200 22 the the DT 35024 200 23 pendulum pendulum NN 35024 200 24 of of IN 35024 200 25 the the DT 35024 200 26 clock clock NN 35024 200 27 ( ( -LRB- 35024 200 28 A a NN 35024 200 29 ) ) -RRB- 35024 200 30 . . . 35024 201 1 The the DT 35024 201 2 interval interval NN 35024 201 3 between between IN 35024 201 4 coincidences coincidence NNS 35024 201 5 was be VBD 35024 201 6 determined determine VBN 35024 201 7 by by IN 35024 201 8 observing observe VBG 35024 201 9 , , , 35024 201 10 through through IN 35024 201 11 the the DT 35024 201 12 telescope telescope NN 35024 201 13 at at IN 35024 201 14 the the DT 35024 201 15 left left NN 35024 201 16 , , , 35024 201 17 the the DT 35024 201 18 times time NNS 35024 201 19 when when WRB 35024 201 20 the the DT 35024 201 21 two two CD 35024 201 22 pendulums pendulum NNS 35024 201 23 emerge emerge VBP 35024 201 24 together together RB 35024 201 25 from from IN 35024 201 26 behind behind IN 35024 201 27 the the DT 35024 201 28 screen screen NN 35024 201 29 ( ( -LRB- 35024 201 30 M m NN 35024 201 31 ) ) -RRB- 35024 201 32 . . . 35024 202 1 The the DT 35024 202 2 exact exact JJ 35024 202 3 length length NN 35024 202 4 of of IN 35024 202 5 the the DT 35024 202 6 pendulum pendulum NN 35024 202 7 was be VBD 35024 202 8 measured measure VBN 35024 202 9 by by IN 35024 202 10 a a DT 35024 202 11 platinum platinum NN 35024 202 12 scale scale NN 35024 202 13 ( ( -LRB- 35024 202 14 not not RB 35024 202 15 shown show VBN 35024 202 16 ) ) -RRB- 35024 202 17 equipped equip VBN 35024 202 18 with with IN 35024 202 19 a a DT 35024 202 20 vernier vernier NN 35024 202 21 and and CC 35024 202 22 an an DT 35024 202 23 auxiliary auxiliary JJ 35024 202 24 copper copper NN 35024 202 25 scale scale NN 35024 202 26 for for IN 35024 202 27 temperature temperature NN 35024 202 28 correction correction NN 35024 202 29 . . . 35024 203 1 When when WRB 35024 203 2 , , , 35024 203 3 at at IN 35024 203 4 the the DT 35024 203 5 end end NN 35024 203 6 of of IN 35024 203 7 the the DT 35024 203 8 18th 18th JJ 35024 203 9 century century NN 35024 203 10 , , , 35024 203 11 the the DT 35024 203 12 French french JJ 35024 203 13 revolutionary revolutionary JJ 35024 203 14 government government NN 35024 203 15 established establish VBD 35024 203 16 the the DT 35024 203 17 metric metric JJ 35024 203 18 system system NN 35024 203 19 of of IN 35024 203 20 weights weight NNS 35024 203 21 and and CC 35024 203 22 measures measure NNS 35024 203 23 , , , 35024 203 24 the the DT 35024 203 25 length length NN 35024 203 26 of of IN 35024 203 27 the the DT 35024 203 28 seconds second NNS 35024 203 29 pendulum pendulum NN 35024 203 30 at at IN 35024 203 31 Paris Paris NNP 35024 203 32 was be VBD 35024 203 33 considered consider VBN 35024 203 34 , , , 35024 203 35 but but CC 35024 203 36 not not RB 35024 203 37 adopted adopt VBN 35024 203 38 , , , 35024 203 39 as as IN 35024 203 40 the the DT 35024 203 41 unit unit NN 35024 203 42 of of IN 35024 203 43 length length NN 35024 203 44 . . . 35024 204 1 ( ( -LRB- 35024 204 2 Plate plate NN 35024 204 3 2 2 CD 35024 204 4 , , , 35024 204 5 _ _ NNP 35024 204 6 Mémoires Mémoires NNP 35024 204 7 publiés publiés NN 35024 204 8 par par NN 35024 204 9 la la FW 35024 204 10 Société Société NNP 35024 204 11 française française NN 35024 204 12 de de IN 35024 204 13 Physique Physique NNP 35024 204 14 _ _ NNP 35024 204 15 , , , 35024 204 16 vol vol NNP 35024 204 17 . . . 35024 205 1 4 4 LS 35024 205 2 . . . 35024 205 3 ) ) -RRB- 35024 205 4 ] ] -RRB- 35024 206 1 The the DT 35024 206 2 practice practice NN 35024 206 3 with with IN 35024 206 4 the the DT 35024 206 5 " " `` 35024 206 6 simple simple JJ 35024 206 7 " " '' 35024 206 8 pendulum pendulum NN 35024 206 9 on on IN 35024 206 10 the the DT 35024 206 11 part part NN 35024 206 12 of of IN 35024 206 13 Picard Picard NNP 35024 206 14 , , , 35024 206 15 Bouguer Bouguer NNP 35024 206 16 , , , 35024 206 17 La La NNP 35024 206 18 Condamine Condamine NNP 35024 206 19 and and CC 35024 206 20 others other NNS 35024 206 21 in in IN 35024 206 22 France France NNP 35024 206 23 culminated culminate VBD 35024 206 24 in in IN 35024 206 25 the the DT 35024 206 26 work work NN 35024 206 27 of of IN 35024 206 28 Borda Borda NNP 35024 206 29 and and CC 35024 206 30 Cassini Cassini NNP 35024 206 31 in in IN 35024 206 32 1792 1792 CD 35024 206 33 at at IN 35024 206 34 the the DT 35024 206 35 observatory observatory NN 35024 206 36 in in IN 35024 206 37 Paris[20 paris[20 ADD 35024 206 38 ] ] -RRB- 35024 206 39 ( ( -LRB- 35024 206 40 fig fig NN 35024 206 41 . . . 35024 207 1 6 6 LS 35024 207 2 ) ) -RRB- 35024 207 3 . . . 35024 208 1 The the DT 35024 208 2 experiments experiment NNS 35024 208 3 were be VBD 35024 208 4 undertaken undertake VBN 35024 208 5 to to TO 35024 208 6 determine determine VB 35024 208 7 whether whether IN 35024 208 8 or or CC 35024 208 9 not not RB 35024 208 10 the the DT 35024 208 11 length length NN 35024 208 12 of of IN 35024 208 13 the the DT 35024 208 14 seconds second NNS 35024 208 15 pendulum pendulum NN 35024 208 16 should should MD 35024 208 17 be be VB 35024 208 18 adopted adopt VBN 35024 208 19 as as IN 35024 208 20 the the DT 35024 208 21 standard standard NN 35024 208 22 of of IN 35024 208 23 length length NN 35024 208 24 by by IN 35024 208 25 the the DT 35024 208 26 new new JJ 35024 208 27 government government NN 35024 208 28 of of IN 35024 208 29 France France NNP 35024 208 30 . . . 35024 209 1 The the DT 35024 209 2 bob bob NNP 35024 209 3 consisted consist VBD 35024 209 4 of of IN 35024 209 5 a a DT 35024 209 6 platinum platinum NN 35024 209 7 ball ball NN 35024 209 8 16 16 CD 35024 209 9 - - SYM 35024 209 10 1/6 1/6 CD 35024 209 11 Paris Paris NNP 35024 209 12 lines line NNS 35024 209 13 in in IN 35024 209 14 diameter diameter NN 35024 209 15 , , , 35024 209 16 and and CC 35024 209 17 9,911 9,911 CD 35024 209 18 grains grain NNS 35024 209 19 ( ( -LRB- 35024 209 20 slightly slightly RB 35024 209 21 more more JJR 35024 209 22 than than IN 35024 209 23 17 17 CD 35024 209 24 ounces ounce NNS 35024 209 25 ) ) -RRB- 35024 209 26 in in IN 35024 209 27 weight weight NN 35024 209 28 . . . 35024 210 1 The the DT 35024 210 2 bob bob NNP 35024 210 3 was be VBD 35024 210 4 held hold VBN 35024 210 5 to to IN 35024 210 6 a a DT 35024 210 7 brass brass NN 35024 210 8 cup cup NN 35024 210 9 covering cover VBG 35024 210 10 about about RB 35024 210 11 one one CD 35024 210 12 - - HYPH 35024 210 13 fifth fifth NN 35024 210 14 of of IN 35024 210 15 its -PRON- PRP$ 35024 210 16 surface surface NN 35024 210 17 by by IN 35024 210 18 the the DT 35024 210 19 interposition interposition NN 35024 210 20 of of IN 35024 210 21 a a DT 35024 210 22 small small JJ 35024 210 23 quantity quantity NN 35024 210 24 of of IN 35024 210 25 grease grease NN 35024 210 26 . . . 35024 211 1 The the DT 35024 211 2 cup cup NN 35024 211 3 with with IN 35024 211 4 ball ball NN 35024 211 5 was be VBD 35024 211 6 hung hang VBN 35024 211 7 by by IN 35024 211 8 a a DT 35024 211 9 fine fine JJ 35024 211 10 iron iron NN 35024 211 11 wire wire NN 35024 211 12 about about RB 35024 211 13 12 12 CD 35024 211 14 Paris Paris NNP 35024 211 15 feet foot NNS 35024 211 16 long long JJ 35024 211 17 . . . 35024 212 1 The the DT 35024 212 2 upper upper JJ 35024 212 3 end end NN 35024 212 4 of of IN 35024 212 5 the the DT 35024 212 6 wire wire NN 35024 212 7 was be VBD 35024 212 8 attached attach VBN 35024 212 9 to to IN 35024 212 10 a a DT 35024 212 11 cylinder cylinder NN 35024 212 12 which which WDT 35024 212 13 was be VBD 35024 212 14 part part NN 35024 212 15 of of IN 35024 212 16 a a DT 35024 212 17 wedge wedge NN 35024 212 18 - - HYPH 35024 212 19 shaped shape VBN 35024 212 20 knife knife NN 35024 212 21 edge edge NN 35024 212 22 , , , 35024 212 23 on on IN 35024 212 24 the the DT 35024 212 25 upper upper JJ 35024 212 26 surface surface NN 35024 212 27 of of IN 35024 212 28 which which WDT 35024 212 29 was be VBD 35024 212 30 a a DT 35024 212 31 stem stem NN 35024 212 32 on on IN 35024 212 33 which which WDT 35024 212 34 a a DT 35024 212 35 small small JJ 35024 212 36 adjustable adjustable JJ 35024 212 37 weight weight NN 35024 212 38 was be VBD 35024 212 39 held hold VBN 35024 212 40 by by IN 35024 212 41 a a DT 35024 212 42 screw screw NN 35024 212 43 thread thread NN 35024 212 44 . . . 35024 213 1 The the DT 35024 213 2 knife knife NN 35024 213 3 edge edge NN 35024 213 4 rested rest VBD 35024 213 5 on on IN 35024 213 6 a a DT 35024 213 7 steel steel NN 35024 213 8 plate plate NN 35024 213 9 . . . 35024 214 1 The the DT 35024 214 2 weight weight NN 35024 214 3 on on IN 35024 214 4 the the DT 35024 214 5 knife knife NN 35024 214 6 - - HYPH 35024 214 7 edge edge NN 35024 214 8 apparatus apparatus NN 35024 214 9 was be VBD 35024 214 10 adjusted adjust VBN 35024 214 11 so so IN 35024 214 12 that that IN 35024 214 13 the the DT 35024 214 14 apparatus apparatus NN 35024 214 15 would would MD 35024 214 16 vibrate vibrate VB 35024 214 17 with with IN 35024 214 18 the the DT 35024 214 19 same same JJ 35024 214 20 period period NN 35024 214 21 as as IN 35024 214 22 the the DT 35024 214 23 pendulum pendulum NN 35024 214 24 . . . 35024 215 1 Thus thus RB 35024 215 2 , , , 35024 215 3 the the DT 35024 215 4 mass mass NN 35024 215 5 of of IN 35024 215 6 the the DT 35024 215 7 suspending suspend VBG 35024 215 8 apparatus apparatus NN 35024 215 9 could could MD 35024 215 10 be be VB 35024 215 11 neglected neglect VBN 35024 215 12 in in IN 35024 215 13 the the DT 35024 215 14 theory theory NN 35024 215 15 of of IN 35024 215 16 motion motion NN 35024 215 17 of of IN 35024 215 18 the the DT 35024 215 19 pendulum pendulum NN 35024 215 20 about about IN 35024 215 21 the the DT 35024 215 22 knife knife NN 35024 215 23 edge edge NN 35024 215 24 . . . 35024 216 1 [ [ -LRB- 35024 216 2 Illustration illustration NN 35024 216 3 : : : 35024 216 4 Figure figure VB 35024 216 5 7.--RESULTS 7.--results CD 35024 216 6 OF of IN 35024 216 7 EXPERIMENTS experiment NNS 35024 216 8 in in IN 35024 216 9 the the DT 35024 216 10 determination determination NN 35024 216 11 of of IN 35024 216 12 the the DT 35024 216 13 length length NN 35024 216 14 of of IN 35024 216 15 the the DT 35024 216 16 seconds second NNS 35024 216 17 pendulum pendulum NN 35024 216 18 at at IN 35024 216 19 Königsberg Königsberg NNP 35024 216 20 by by IN 35024 216 21 a a DT 35024 216 22 new new JJ 35024 216 23 method method NN 35024 216 24 were be VBD 35024 216 25 reported report VBN 35024 216 26 by by IN 35024 216 27 F. F. NNP 35024 216 28 W. W. NNP 35024 216 29 Bessel Bessel NNP 35024 216 30 in in IN 35024 216 31 1826 1826 CD 35024 216 32 and and CC 35024 216 33 published publish VBN 35024 216 34 in in IN 35024 216 35 1828 1828 CD 35024 216 36 . . . 35024 217 1 With with IN 35024 217 2 this this DT 35024 217 3 apparatus apparatus NN 35024 217 4 , , , 35024 217 5 he -PRON- PRP 35024 217 6 obtained obtain VBD 35024 217 7 two two CD 35024 217 8 sets set NNS 35024 217 9 of of IN 35024 217 10 data datum NNS 35024 217 11 from from IN 35024 217 12 the the DT 35024 217 13 same same JJ 35024 217 14 pendulum pendulum NN 35024 217 15 , , , 35024 217 16 by by IN 35024 217 17 using use VBG 35024 217 18 two two CD 35024 217 19 different different JJ 35024 217 20 points point NNS 35024 217 21 of of IN 35024 217 22 suspension suspension NN 35024 217 23 . . . 35024 218 1 The the DT 35024 218 2 pendulum pendulum NN 35024 218 3 was be VBD 35024 218 4 about about RB 35024 218 5 10 10 CD 35024 218 6 feet foot NNS 35024 218 7 long long JJ 35024 218 8 . . . 35024 219 1 The the DT 35024 219 2 distance distance NN 35024 219 3 between between IN 35024 219 4 the the DT 35024 219 5 two two CD 35024 219 6 points point NNS 35024 219 7 of of IN 35024 219 8 suspension suspension NN 35024 219 9 ( ( -LRB- 35024 219 10 _ _ NNP 35024 219 11 a a DT 35024 219 12 _ _ NNP 35024 219 13 and and CC 35024 219 14 _ _ NNP 35024 219 15 b b NNP 35024 219 16 _ _ NNP 35024 219 17 ) ) -RRB- 35024 219 18 was be VBD 35024 219 19 1 1 CD 35024 219 20 toise toise NN 35024 219 21 ( ( -LRB- 35024 219 22 about about RB 35024 219 23 six six CD 35024 219 24 feet foot NNS 35024 219 25 ) ) -RRB- 35024 219 26 . . . 35024 220 1 A a DT 35024 220 2 micrometric micrometric JJ 35024 220 3 balance balance NN 35024 220 4 ( ( -LRB- 35024 220 5 _ _ NNP 35024 220 6 c c NNP 35024 220 7 _ _ NNP 35024 220 8 ) ) -RRB- 35024 220 9 below below IN 35024 220 10 the the DT 35024 220 11 bob bob NNP 35024 220 12 was be VBD 35024 220 13 used use VBN 35024 220 14 to to TO 35024 220 15 determine determine VB 35024 220 16 the the DT 35024 220 17 increase increase NN 35024 220 18 in in IN 35024 220 19 length length NN 35024 220 20 due due IN 35024 220 21 to to IN 35024 220 22 the the DT 35024 220 23 weight weight NN 35024 220 24 of of IN 35024 220 25 the the DT 35024 220 26 bob bob NNP 35024 220 27 . . . 35024 221 1 He -PRON- PRP 35024 221 2 projected project VBD 35024 221 3 the the DT 35024 221 4 image image NN 35024 221 5 of of IN 35024 221 6 the the DT 35024 221 7 clock clock NN 35024 221 8 pendulum pendulum NN 35024 221 9 ( ( -LRB- 35024 221 10 not not RB 35024 221 11 shown show VBN 35024 221 12 ) ) -RRB- 35024 221 13 onto onto IN 35024 221 14 the the DT 35024 221 15 gravity gravity NN 35024 221 16 pendulum pendulum NN 35024 221 17 by by IN 35024 221 18 means mean NNS 35024 221 19 of of IN 35024 221 20 a a DT 35024 221 21 lens lens NN 35024 221 22 , , , 35024 221 23 thus thus RB 35024 221 24 placing place VBG 35024 221 25 the the DT 35024 221 26 clock clock NN 35024 221 27 some some DT 35024 221 28 distance distance NN 35024 221 29 away away RB 35024 221 30 and and CC 35024 221 31 eliminating eliminate VBG 35024 221 32 the the DT 35024 221 33 disturbing disturb VBG 35024 221 34 effect effect NN 35024 221 35 of of IN 35024 221 36 its -PRON- PRP$ 35024 221 37 motion motion NN 35024 221 38 . . . 35024 222 1 ( ( -LRB- 35024 222 2 Portion portion NN 35024 222 3 of of IN 35024 222 4 plate plate NN 35024 222 5 6 6 CD 35024 222 6 , , , 35024 222 7 _ _ NNP 35024 222 8 Mémoires Mémoires NNP 35024 222 9 publiés publiés NN 35024 222 10 par par NN 35024 222 11 la la FW 35024 222 12 Société Société NNP 35024 222 13 française française NN 35024 222 14 de de IN 35024 222 15 Physique Physique NNP 35024 222 16 _ _ NNP 35024 222 17 , , , 35024 222 18 vol vol NNP 35024 222 19 . . . 35024 223 1 4 4 LS 35024 223 2 . . . 35024 223 3 ) ) -RRB- 35024 223 4 ] ] -RRB- 35024 224 1 In in IN 35024 224 2 the the DT 35024 224 3 earlier early JJR 35024 224 4 suspension suspension NN 35024 224 5 from from IN 35024 224 6 jaws jaw NNS 35024 224 7 there there EX 35024 224 8 was be VBD 35024 224 9 uncertainty uncertainty NN 35024 224 10 as as IN 35024 224 11 to to IN 35024 224 12 the the DT 35024 224 13 point point NN 35024 224 14 about about IN 35024 224 15 which which WDT 35024 224 16 the the DT 35024 224 17 pendulum pendulum NN 35024 224 18 oscillated oscillate VBD 35024 224 19 . . . 35024 225 1 Borda Borda NNP 35024 225 2 and and CC 35024 225 3 Cassini Cassini NNP 35024 225 4 hung hang VBD 35024 225 5 their -PRON- PRP$ 35024 225 6 pendulum pendulum NN 35024 225 7 in in IN 35024 225 8 front front NN 35024 225 9 of of IN 35024 225 10 a a DT 35024 225 11 seconds second NNS 35024 225 12 clock clock NN 35024 225 13 and and CC 35024 225 14 determined determine VBD 35024 225 15 the the DT 35024 225 16 time time NN 35024 225 17 of of IN 35024 225 18 swing swing NN 35024 225 19 by by IN 35024 225 20 the the DT 35024 225 21 method method NN 35024 225 22 of of IN 35024 225 23 coincidences coincidence NNS 35024 225 24 . . . 35024 226 1 The the DT 35024 226 2 times time NNS 35024 226 3 on on IN 35024 226 4 the the DT 35024 226 5 clock clock NN 35024 226 6 were be VBD 35024 226 7 observed observe VBN 35024 226 8 when when WRB 35024 226 9 the the DT 35024 226 10 clock clock NN 35024 226 11 gained gain VBD 35024 226 12 or or CC 35024 226 13 lost lose VBD 35024 226 14 one one CD 35024 226 15 complete complete JJ 35024 226 16 vibration vibration NN 35024 226 17 ( ( -LRB- 35024 226 18 two two CD 35024 226 19 swings swing NNS 35024 226 20 ) ) -RRB- 35024 226 21 on on IN 35024 226 22 the the DT 35024 226 23 pendulum pendulum NN 35024 226 24 . . . 35024 227 1 Suppose suppose VB 35024 227 2 that that IN 35024 227 3 the the DT 35024 227 4 wire wire NN 35024 227 5 pendulum pendulum NN 35024 227 6 makes make VBZ 35024 227 7 n n DT 35024 227 8 swings swing NNS 35024 227 9 while while IN 35024 227 10 the the DT 35024 227 11 clock clock NN 35024 227 12 makes make VBZ 35024 227 13 2n 2n CD 35024 227 14 + + SYM 35024 227 15 2 2 CD 35024 227 16 . . . 35024 228 1 If if IN 35024 228 2 the the DT 35024 228 3 clock clock NN 35024 228 4 beats beat VBZ 35024 228 5 seconds second NNS 35024 228 6 exactly exactly RB 35024 228 7 , , , 35024 228 8 the the DT 35024 228 9 time time NN 35024 228 10 of of IN 35024 228 11 one one CD 35024 228 12 complete complete JJ 35024 228 13 vibration vibration NN 35024 228 14 is be VBZ 35024 228 15 2 2 CD 35024 228 16 seconds second NNS 35024 228 17 , , , 35024 228 18 and and CC 35024 228 19 the the DT 35024 228 20 time time NN 35024 228 21 of of IN 35024 228 22 swing swing NN 35024 228 23 of of IN 35024 228 24 the the DT 35024 228 25 wire wire NN 35024 228 26 pendulum pendulum NN 35024 228 27 is be VBZ 35024 228 28 T t NN 35024 228 29 = = SYM 35024 228 30 ( ( -LRB- 35024 228 31 2n 2n CD 35024 228 32 + + SYM 35024 228 33 2)/n 2)/n NNS 35024 228 34 = = SYM 35024 228 35 2(1 2(1 NN 35024 228 36 + + CC 35024 228 37 1 1 CD 35024 228 38 / / SYM 35024 228 39 n n NN 35024 228 40 ) ) -RRB- 35024 228 41 . . . 35024 229 1 An an DT 35024 229 2 error error NN 35024 229 3 in in IN 35024 229 4 the the DT 35024 229 5 time time NN 35024 229 6 caused cause VBN 35024 229 7 by by IN 35024 229 8 uncertainty uncertainty NN 35024 229 9 in in IN 35024 229 10 determining determine VBG 35024 229 11 the the DT 35024 229 12 coincidence coincidence NN 35024 229 13 of of IN 35024 229 14 clock clock NN 35024 229 15 and and CC 35024 229 16 wire wire NN 35024 229 17 pendulum pendulum NN 35024 229 18 is be VBZ 35024 229 19 reduced reduce VBN 35024 229 20 by by IN 35024 229 21 employing employ VBG 35024 229 22 a a DT 35024 229 23 long long JJ 35024 229 24 interval interval NN 35024 229 25 of of IN 35024 229 26 observation observation NN 35024 229 27 2n 2n CD 35024 229 28 . . . 35024 230 1 The the DT 35024 230 2 whole whole JJ 35024 230 3 apparatus apparatus NN 35024 230 4 was be VBD 35024 230 5 enclosed enclose VBN 35024 230 6 in in IN 35024 230 7 a a DT 35024 230 8 box box NN 35024 230 9 , , , 35024 230 10 in in IN 35024 230 11 order order NN 35024 230 12 to to TO 35024 230 13 exclude exclude VB 35024 230 14 disturbances disturbance NNS 35024 230 15 from from IN 35024 230 16 currents current NNS 35024 230 17 of of IN 35024 230 18 air air NN 35024 230 19 . . . 35024 231 1 Corrections correction NNS 35024 231 2 were be VBD 35024 231 3 made make VBN 35024 231 4 for for IN 35024 231 5 buoyancy buoyancy NN 35024 231 6 , , , 35024 231 7 for for IN 35024 231 8 amplitude amplitude NN 35024 231 9 of of IN 35024 231 10 swing swing NN 35024 231 11 and and CC 35024 231 12 for for IN 35024 231 13 variations variation NNS 35024 231 14 in in IN 35024 231 15 length length NN 35024 231 16 of of IN 35024 231 17 the the DT 35024 231 18 wire wire NN 35024 231 19 with with IN 35024 231 20 temperature temperature NN 35024 231 21 . . . 35024 232 1 The the DT 35024 232 2 final final JJ 35024 232 3 result result NN 35024 232 4 was be VBD 35024 232 5 that that IN 35024 232 6 the the DT 35024 232 7 length length NN 35024 232 8 of of IN 35024 232 9 the the DT 35024 232 10 seconds second NNS 35024 232 11 pendulum pendulum NN 35024 232 12 at at IN 35024 232 13 the the DT 35024 232 14 observatory observatory NN 35024 232 15 in in IN 35024 232 16 Paris Paris NNP 35024 232 17 was be VBD 35024 232 18 determined determined JJ 35024 232 19 to to TO 35024 232 20 be be VB 35024 232 21 440.5593 440.5593 NN 35024 232 22 Paris Paris NNP 35024 232 23 lines line NNS 35024 232 24 , , , 35024 232 25 or or CC 35024 232 26 993.53 993.53 CD 35024 232 27 mm mm NNP 35024 232 28 . . NNP 35024 232 29 , , , 35024 232 30 reduced reduce VBN 35024 232 31 to to IN 35024 232 32 sea sea NN 35024 232 33 level level NN 35024 232 34 993.85 993.85 CD 35024 232 35 mm mm NN 35024 232 36 . . . 35024 233 1 Some some DT 35024 233 2 years year NNS 35024 233 3 later later RBR 35024 233 4 the the DT 35024 233 5 methods method NNS 35024 233 6 of of IN 35024 233 7 Borda Borda NNP 35024 233 8 were be VBD 35024 233 9 used use VBN 35024 233 10 by by IN 35024 233 11 other other JJ 35024 233 12 French french JJ 35024 233 13 investigators investigator NNS 35024 233 14 , , , 35024 233 15 among among IN 35024 233 16 whom whom WP 35024 233 17 was be VBD 35024 233 18 Biot Biot NNP 35024 233 19 who who WP 35024 233 20 used use VBD 35024 233 21 the the DT 35024 233 22 platinum platinum NN 35024 233 23 ball ball NN 35024 233 24 of of IN 35024 233 25 Borda Borda NNP 35024 233 26 suspended suspend VBN 35024 233 27 by by IN 35024 233 28 a a DT 35024 233 29 copper copper NN 35024 233 30 wire wire NN 35024 233 31 60 60 CD 35024 233 32 cm cm NNS 35024 233 33 . . . 35024 234 1 long long RB 35024 234 2 . . . 35024 235 1 Another another DT 35024 235 2 historic historic JJ 35024 235 3 " " `` 35024 235 4 simple simple JJ 35024 235 5 " " '' 35024 235 6 pendulum pendulum NN 35024 235 7 was be VBD 35024 235 8 the the DT 35024 235 9 one one CD 35024 235 10 swung swing VBN 35024 235 11 by by IN 35024 235 12 Bessel Bessel NNP 35024 235 13 ( ( -LRB- 35024 235 14 fig fig NN 35024 235 15 . . . 35024 236 1 7 7 LS 35024 236 2 ) ) -RRB- 35024 236 3 for for IN 35024 236 4 the the DT 35024 236 5 determination determination NN 35024 236 6 of of IN 35024 236 7 gravity gravity NN 35024 236 8 at at IN 35024 236 9 Königsberg Königsberg NNP 35024 236 10 1825 1825 CD 35024 236 11 - - SYM 35024 236 12 1827 1827 CD 35024 236 13 . . . 35024 237 1 [ [ -LRB- 35024 237 2 21 21 LS 35024 237 3 ] ] -RRB- 35024 237 4 The the DT 35024 237 5 pendulum pendulum NN 35024 237 6 consisted consist VBD 35024 237 7 of of IN 35024 237 8 a a DT 35024 237 9 ball ball NN 35024 237 10 of of IN 35024 237 11 brass brass NN 35024 237 12 , , , 35024 237 13 copper copper NN 35024 237 14 , , , 35024 237 15 or or CC 35024 237 16 ivory ivory NN 35024 237 17 that that WDT 35024 237 18 was be VBD 35024 237 19 suspended suspend VBN 35024 237 20 by by IN 35024 237 21 a a DT 35024 237 22 fine fine JJ 35024 237 23 wire wire NN 35024 237 24 , , , 35024 237 25 the the DT 35024 237 26 upper upper JJ 35024 237 27 end end NN 35024 237 28 of of IN 35024 237 29 which which WDT 35024 237 30 was be VBD 35024 237 31 wrapped wrap VBN 35024 237 32 and and CC 35024 237 33 unwrapped unwrap VBN 35024 237 34 on on IN 35024 237 35 a a DT 35024 237 36 horizontal horizontal JJ 35024 237 37 cylinder cylinder NN 35024 237 38 as as IN 35024 237 39 support support NN 35024 237 40 . . . 35024 238 1 The the DT 35024 238 2 pendulum pendulum NN 35024 238 3 was be VBD 35024 238 4 swung swing VBN 35024 238 5 first first RB 35024 238 6 from from IN 35024 238 7 one one CD 35024 238 8 point point NN 35024 238 9 and and CC 35024 238 10 then then RB 35024 238 11 from from IN 35024 238 12 another another DT 35024 238 13 , , , 35024 238 14 exactly exactly RB 35024 238 15 a a DT 35024 238 16 " " `` 35024 238 17 toise toise NN 35024 238 18 de de FW 35024 238 19 Peru"[22 peru"[22 NN 35024 238 20 ] ] -RRB- 35024 238 21 higher high JJR 35024 238 22 up up RB 35024 238 23 , , , 35024 238 24 the the DT 35024 238 25 bob bob NNP 35024 238 26 being be VBG 35024 238 27 at at IN 35024 238 28 the the DT 35024 238 29 same same JJ 35024 238 30 level level NN 35024 238 31 in in IN 35024 238 32 each each DT 35024 238 33 case case NN 35024 238 34 ( ( -LRB- 35024 238 35 fig fig NN 35024 238 36 . . . 35024 239 1 7 7 LS 35024 239 2 ) ) -RRB- 35024 239 3 . . . 35024 240 1 Bessel Bessel NNP 35024 240 2 found find VBD 35024 240 3 the the DT 35024 240 4 period period NN 35024 240 5 of of IN 35024 240 6 vibration vibration NN 35024 240 7 of of IN 35024 240 8 the the DT 35024 240 9 pendulum pendulum NN 35024 240 10 by by IN 35024 240 11 the the DT 35024 240 12 method method NN 35024 240 13 of of IN 35024 240 14 coincidences coincidence NNS 35024 240 15 ; ; : 35024 240 16 and and CC 35024 240 17 in in IN 35024 240 18 order order NN 35024 240 19 to to TO 35024 240 20 avoid avoid VB 35024 240 21 disturbances disturbance NNS 35024 240 22 from from IN 35024 240 23 the the DT 35024 240 24 comparison comparison NN 35024 240 25 clock clock NN 35024 240 26 , , , 35024 240 27 it -PRON- PRP 35024 240 28 was be VBD 35024 240 29 placed place VBN 35024 240 30 at at IN 35024 240 31 some some DT 35024 240 32 distance distance NN 35024 240 33 from from IN 35024 240 34 the the DT 35024 240 35 pendulum pendulum NN 35024 240 36 under under IN 35024 240 37 observation observation NN 35024 240 38 . . . 35024 241 1 Bessel Bessel NNP 35024 241 2 's 's POS 35024 241 3 experiments experiment NNS 35024 241 4 were be VBD 35024 241 5 significant significant JJ 35024 241 6 in in IN 35024 241 7 view view NN 35024 241 8 of of IN 35024 241 9 the the DT 35024 241 10 care care NN 35024 241 11 with with IN 35024 241 12 which which WDT 35024 241 13 he -PRON- PRP 35024 241 14 determined determine VBD 35024 241 15 the the DT 35024 241 16 corrections correction NNS 35024 241 17 . . . 35024 242 1 He -PRON- PRP 35024 242 2 corrected correct VBD 35024 242 3 for for IN 35024 242 4 the the DT 35024 242 5 stiffness stiffness NN 35024 242 6 of of IN 35024 242 7 the the DT 35024 242 8 wire wire NN 35024 242 9 and and CC 35024 242 10 for for IN 35024 242 11 the the DT 35024 242 12 lack lack NN 35024 242 13 of of IN 35024 242 14 rigidity rigidity NN 35024 242 15 of of IN 35024 242 16 connection connection NN 35024 242 17 between between IN 35024 242 18 the the DT 35024 242 19 bob bob NNP 35024 242 20 and and CC 35024 242 21 wire wire NN 35024 242 22 . . . 35024 243 1 The the DT 35024 243 2 necessity necessity NN 35024 243 3 for for IN 35024 243 4 the the DT 35024 243 5 latter latter JJ 35024 243 6 correction correction NN 35024 243 7 had have VBD 35024 243 8 been be VBN 35024 243 9 pointed point VBN 35024 243 10 out out RP 35024 243 11 by by IN 35024 243 12 Laplace Laplace NNP 35024 243 13 , , , 35024 243 14 who who WP 35024 243 15 showed show VBD 35024 243 16 that that IN 35024 243 17 through through IN 35024 243 18 the the DT 35024 243 19 circumstance circumstance NN 35024 243 20 that that WDT 35024 243 21 the the DT 35024 243 22 pull pull NN 35024 243 23 of of IN 35024 243 24 the the DT 35024 243 25 wire wire NN 35024 243 26 is be VBZ 35024 243 27 now now RB 35024 243 28 on on IN 35024 243 29 one one CD 35024 243 30 side side NN 35024 243 31 and and CC 35024 243 32 now now RB 35024 243 33 on on IN 35024 243 34 the the DT 35024 243 35 other other JJ 35024 243 36 side side NN 35024 243 37 of of IN 35024 243 38 the the DT 35024 243 39 center center NN 35024 243 40 of of IN 35024 243 41 gravity gravity NNP 35024 243 42 , , , 35024 243 43 the the DT 35024 243 44 bob bob NNP 35024 243 45 acquires acquire VBZ 35024 243 46 angular angular JJ 35024 243 47 momentum momentum NN 35024 243 48 about about IN 35024 243 49 its -PRON- PRP$ 35024 243 50 center center NN 35024 243 51 of of IN 35024 243 52 gravity gravity NN 35024 243 53 , , , 35024 243 54 which which WDT 35024 243 55 can can MD 35024 243 56 not not RB 35024 243 57 be be VB 35024 243 58 accounted account VBN 35024 243 59 for for IN 35024 243 60 if if IN 35024 243 61 the the DT 35024 243 62 line line NN 35024 243 63 of of IN 35024 243 64 the the DT 35024 243 65 wire wire NN 35024 243 66 , , , 35024 243 67 and and CC 35024 243 68 therefore therefore RB 35024 243 69 the the DT 35024 243 70 force force NN 35024 243 71 that that IN 35024 243 72 it -PRON- PRP 35024 243 73 exerts exert VBZ 35024 243 74 , , , 35024 243 75 always always RB 35024 243 76 passed pass VBD 35024 243 77 through through IN 35024 243 78 the the DT 35024 243 79 center center NN 35024 243 80 . . . 35024 244 1 In in IN 35024 244 2 addition addition NN 35024 244 3 to to IN 35024 244 4 a a DT 35024 244 5 correction correction NN 35024 244 6 for for IN 35024 244 7 buoyancy buoyancy NN 35024 244 8 of of IN 35024 244 9 the the DT 35024 244 10 air air NN 35024 244 11 considered consider VBN 35024 244 12 by by IN 35024 244 13 his -PRON- PRP$ 35024 244 14 predecessors predecessor NNS 35024 244 15 , , , 35024 244 16 Bessel Bessel NNP 35024 244 17 also also RB 35024 244 18 took take VBD 35024 244 19 account account NN 35024 244 20 of of IN 35024 244 21 the the DT 35024 244 22 inertia inertia NN 35024 244 23 of of IN 35024 244 24 the the DT 35024 244 25 air air NN 35024 244 26 set set VBN 35024 244 27 in in IN 35024 244 28 motion motion NN 35024 244 29 by by IN 35024 244 30 the the DT 35024 244 31 pendulum pendulum NN 35024 244 32 . . . 35024 245 1 [ [ -LRB- 35024 245 2 Illustration illustration NN 35024 245 3 : : : 35024 245 4 Figure figure NN 35024 245 5 8.--MODE 8.--mode CD 35024 245 6 OF of IN 35024 245 7 SUSPENSION SUSPENSION NNP 35024 245 8 of of IN 35024 245 9 Bessel Bessel NNP 35024 245 10 's 's POS 35024 245 11 pendulum pendulum NN 35024 245 12 is be VBZ 35024 245 13 shown show VBN 35024 245 14 here here RB 35024 245 15 . . . 35024 246 1 The the DT 35024 246 2 iron iron NN 35024 246 3 wire wire NN 35024 246 4 is be VBZ 35024 246 5 supported support VBN 35024 246 6 by by IN 35024 246 7 the the DT 35024 246 8 thumbscrew thumbscrew NN 35024 246 9 and and CC 35024 246 10 clamp clamp NN 35024 246 11 at at IN 35024 246 12 the the DT 35024 246 13 left left NN 35024 246 14 , , , 35024 246 15 but but CC 35024 246 16 passes pass VBZ 35024 246 17 over over IN 35024 246 18 a a DT 35024 246 19 pin pin NN 35024 246 20 at at IN 35024 246 21 the the DT 35024 246 22 center center NN 35024 246 23 , , , 35024 246 24 which which WDT 35024 246 25 is be VBZ 35024 246 26 actually actually RB 35024 246 27 the the DT 35024 246 28 upper upper JJ 35024 246 29 terminal terminal NN 35024 246 30 of of IN 35024 246 31 the the DT 35024 246 32 pendulum pendulum NN 35024 246 33 . . . 35024 247 1 Bessel Bessel NNP 35024 247 2 found find VBD 35024 247 3 this this DT 35024 247 4 " " `` 35024 247 5 cylinder cylinder NN 35024 247 6 of of IN 35024 247 7 unrolling unroll VBG 35024 247 8 " " `` 35024 247 9 superior superior JJ 35024 247 10 to to IN 35024 247 11 the the DT 35024 247 12 clamps clamp NNS 35024 247 13 and and CC 35024 247 14 knife knife NN 35024 247 15 edges edge NNS 35024 247 16 of of IN 35024 247 17 earlier early JJR 35024 247 18 pendulums pendulum NNS 35024 247 19 . . . 35024 248 1 The the DT 35024 248 2 counterweight counterweight JJ 35024 248 3 at at IN 35024 248 4 the the DT 35024 248 5 right right NN 35024 248 6 is be VBZ 35024 248 7 part part NN 35024 248 8 of of IN 35024 248 9 a a DT 35024 248 10 system system NN 35024 248 11 for for IN 35024 248 12 supporting support VBG 35024 248 13 the the DT 35024 248 14 scale scale NN 35024 248 15 in in IN 35024 248 16 such such PDT 35024 248 17 a a DT 35024 248 18 way way NN 35024 248 19 that that IN 35024 248 20 it -PRON- PRP 35024 248 21 is be VBZ 35024 248 22 not not RB 35024 248 23 elongated elongate VBN 35024 248 24 by by IN 35024 248 25 its -PRON- PRP$ 35024 248 26 own own JJ 35024 248 27 weight weight NN 35024 248 28 . . . 35024 249 1 With with IN 35024 249 2 this this DT 35024 249 3 apparatus apparatus NN 35024 249 4 , , , 35024 249 5 Bessel Bessel NNP 35024 249 6 determined determine VBD 35024 249 7 the the DT 35024 249 8 ratio ratio NN 35024 249 9 of of IN 35024 249 10 the the DT 35024 249 11 lengths length NNS 35024 249 12 of of IN 35024 249 13 the the DT 35024 249 14 two two CD 35024 249 15 pendulums pendulum NNS 35024 249 16 and and CC 35024 249 17 their -PRON- PRP$ 35024 249 18 times time NNS 35024 249 19 of of IN 35024 249 20 vibration vibration NN 35024 249 21 . . . 35024 250 1 From from IN 35024 250 2 this this DT 35024 250 3 the the DT 35024 250 4 length length NN 35024 250 5 of of IN 35024 250 6 the the DT 35024 250 7 seconds second NNS 35024 250 8 pendulum pendulum NN 35024 250 9 was be VBD 35024 250 10 calculated calculate VBN 35024 250 11 . . . 35024 251 1 His -PRON- PRP$ 35024 251 2 method method NN 35024 251 3 eliminated eliminate VBD 35024 251 4 the the DT 35024 251 5 need need NN 35024 251 6 to to TO 35024 251 7 take take VB 35024 251 8 into into IN 35024 251 9 account account NN 35024 251 10 such such JJ 35024 251 11 sources source NNS 35024 251 12 of of IN 35024 251 13 inaccuracy inaccuracy NN 35024 251 14 as as IN 35024 251 15 flexure flexure NN 35024 251 16 of of IN 35024 251 17 the the DT 35024 251 18 pendulum pendulum NN 35024 251 19 wire wire NN 35024 251 20 and and CC 35024 251 21 imperfections imperfection NNS 35024 251 22 in in IN 35024 251 23 the the DT 35024 251 24 shape shape NN 35024 251 25 of of IN 35024 251 26 the the DT 35024 251 27 bob bob NNP 35024 251 28 . . . 35024 252 1 ( ( -LRB- 35024 252 2 Portion portion NN 35024 252 3 of of IN 35024 252 4 plate plate NN 35024 252 5 7 7 CD 35024 252 6 , , , 35024 252 7 _ _ NNP 35024 252 8 Mémoires Mémoires NNP 35024 252 9 publiés publiés NN 35024 252 10 par par NN 35024 252 11 la la FW 35024 252 12 Société Société NNP 35024 252 13 française française NN 35024 252 14 de de IN 35024 252 15 Physique Physique NNP 35024 252 16 _ _ NNP 35024 252 17 , , , 35024 252 18 vol vol NNP 35024 252 19 . . . 35024 253 1 4 4 LS 35024 253 2 . . . 35024 253 3 ) ) -RRB- 35024 253 4 ] ] -RRB- 35024 254 1 [ [ -LRB- 35024 254 2 Illustration illustration NN 35024 254 3 : : : 35024 254 4 Figure Figure NNP 35024 254 5 9.--FRIEDRICH 9.--FRIEDRICH NNP 35024 254 6 WILHELM WILHELM NNP 35024 254 7 BESSEL BESSEL NNP 35024 254 8 ( ( -LRB- 35024 254 9 1784 1784 CD 35024 254 10 - - SYM 35024 254 11 1846 1846 CD 35024 254 12 ) ) -RRB- 35024 254 13 , , , 35024 254 14 German german JJ 35024 254 15 mathematician mathematician NN 35024 254 16 and and CC 35024 254 17 astronomer astronomer NN 35024 254 18 . . . 35024 255 1 He -PRON- PRP 35024 255 2 became become VBD 35024 255 3 the the DT 35024 255 4 first first JJ 35024 255 5 superintendent superintendent NN 35024 255 6 of of IN 35024 255 7 the the DT 35024 255 8 Prussian prussian JJ 35024 255 9 observatory observatory NN 35024 255 10 established establish VBN 35024 255 11 at at IN 35024 255 12 Königsberg Königsberg NNP 35024 255 13 in in IN 35024 255 14 1810 1810 CD 35024 255 15 , , , 35024 255 16 and and CC 35024 255 17 remained remain VBD 35024 255 18 there there RB 35024 255 19 during during IN 35024 255 20 the the DT 35024 255 21 remainder remainder NN 35024 255 22 of of IN 35024 255 23 his -PRON- PRP$ 35024 255 24 life life NN 35024 255 25 . . . 35024 256 1 So so RB 35024 256 2 important important JJ 35024 256 3 were be VBD 35024 256 4 his -PRON- PRP$ 35024 256 5 many many JJ 35024 256 6 contributions contribution NNS 35024 256 7 to to IN 35024 256 8 precise precise JJ 35024 256 9 measurement measurement NN 35024 256 10 and and CC 35024 256 11 calculation calculation NN 35024 256 12 in in IN 35024 256 13 astronomy astronomy NN 35024 256 14 that that IN 35024 256 15 he -PRON- PRP 35024 256 16 is be VBZ 35024 256 17 often often RB 35024 256 18 considered consider VBN 35024 256 19 the the DT 35024 256 20 founder founder NN 35024 256 21 of of IN 35024 256 22 the the DT 35024 256 23 " " `` 35024 256 24 modern modern JJ 35024 256 25 " " '' 35024 256 26 age age NN 35024 256 27 in in IN 35024 256 28 that that DT 35024 256 29 science science NN 35024 256 30 . . . 35024 257 1 This this DT 35024 257 2 characteristic characteristic NN 35024 257 3 also also RB 35024 257 4 shows show VBZ 35024 257 5 in in IN 35024 257 6 his -PRON- PRP$ 35024 257 7 venture venture NN 35024 257 8 into into IN 35024 257 9 geodesy geodesy NN 35024 257 10 , , , 35024 257 11 1826 1826 CD 35024 257 12 - - SYM 35024 257 13 1830 1830 CD 35024 257 14 , , , 35024 257 15 one one CD 35024 257 16 product product NN 35024 257 17 of of IN 35024 257 18 which which WDT 35024 257 19 was be VBD 35024 257 20 the the DT 35024 257 21 pendulum pendulum JJ 35024 257 22 experiment experiment NN 35024 257 23 reported report VBN 35024 257 24 in in IN 35024 257 25 this this DT 35024 257 26 article article NN 35024 257 27 . . . 35024 257 28 ] ] -RRB- 35024 258 1 The the DT 35024 258 2 latter latter JJ 35024 258 3 effect effect NN 35024 258 4 had have VBD 35024 258 5 been be VBN 35024 258 6 discovered discover VBN 35024 258 7 by by IN 35024 258 8 Du Du NNP 35024 258 9 Buat Buat NNP 35024 258 10 in in IN 35024 258 11 1786,[23 1786,[23 CD 35024 258 12 ] ] -RRB- 35024 258 13 but but CC 35024 258 14 his -PRON- PRP$ 35024 258 15 work work NN 35024 258 16 was be VBD 35024 258 17 unknown unknown JJ 35024 258 18 to to IN 35024 258 19 Bessel Bessel NNP 35024 258 20 . . . 35024 259 1 The the DT 35024 259 2 length length NN 35024 259 3 of of IN 35024 259 4 the the DT 35024 259 5 seconds second NNS 35024 259 6 pendulum pendulum NN 35024 259 7 at at IN 35024 259 8 Königsberg Königsberg NNP 35024 259 9 , , , 35024 259 10 reduced reduce VBN 35024 259 11 to to IN 35024 259 12 sea sea NN 35024 259 13 level level NN 35024 259 14 , , , 35024 259 15 was be VBD 35024 259 16 found find VBN 35024 259 17 by by IN 35024 259 18 Bessel Bessel NNP 35024 259 19 to to TO 35024 259 20 be be VB 35024 259 21 440.8179 440.8179 CD 35024 259 22 lines line NNS 35024 259 23 . . . 35024 260 1 In in IN 35024 260 2 1835 1835 CD 35024 260 3 , , , 35024 260 4 Bessel Bessel NNP 35024 260 5 determined determine VBD 35024 260 6 the the DT 35024 260 7 intensity intensity NN 35024 260 8 of of IN 35024 260 9 gravity gravity NN 35024 260 10 at at IN 35024 260 11 a a DT 35024 260 12 site site NN 35024 260 13 in in IN 35024 260 14 Berlin Berlin NNP 35024 260 15 where where WRB 35024 260 16 observations observation NNS 35024 260 17 later later RB 35024 260 18 were be VBD 35024 260 19 conducted conduct VBN 35024 260 20 in in IN 35024 260 21 the the DT 35024 260 22 Imperial Imperial NNP 35024 260 23 Office Office NNP 35024 260 24 of of IN 35024 260 25 Weights Weights NNPS 35024 260 26 and and CC 35024 260 27 Measures Measures NNPS 35024 260 28 by by IN 35024 260 29 Charles Charles NNP 35024 260 30 S. S. NNP 35024 260 31 Peirce Peirce NNP 35024 260 32 of of IN 35024 260 33 the the DT 35024 260 34 U.S. U.S. NNP 35024 260 35 Coast Coast NNP 35024 260 36 Survey Survey NNP 35024 260 37 . . . 35024 261 1 Kater Kater NNP 35024 261 2 's 's POS 35024 261 3 Convertible convertible JJ 35024 261 4 and and CC 35024 261 5 Invariable Invariable NNP 35024 261 6 Pendulums Pendulums NNP 35024 261 7 The the DT 35024 261 8 systematic systematic JJ 35024 261 9 survey survey NN 35024 261 10 of of IN 35024 261 11 the the DT 35024 261 12 gravity gravity NN 35024 261 13 field field NN 35024 261 14 of of IN 35024 261 15 the the DT 35024 261 16 earth earth NN 35024 261 17 was be VBD 35024 261 18 given give VBN 35024 261 19 a a DT 35024 261 20 great great JJ 35024 261 21 impetus impetus NN 35024 261 22 by by IN 35024 261 23 the the DT 35024 261 24 contributions contribution NNS 35024 261 25 of of IN 35024 261 26 Capt Capt NNP 35024 261 27 . . . 35024 262 1 Henry Henry NNP 35024 262 2 Kater Kater NNP 35024 262 3 , , , 35024 262 4 F.R.S. F.R.S. NNP 35024 263 1 In in IN 35024 263 2 1817 1817 CD 35024 263 3 , , , 35024 263 4 he -PRON- PRP 35024 263 5 designed design VBD 35024 263 6 , , , 35024 263 7 constructed construct VBN 35024 263 8 , , , 35024 263 9 and and CC 35024 263 10 applied apply VBD 35024 263 11 a a DT 35024 263 12 convertible convertible JJ 35024 263 13 compound compound NN 35024 263 14 pendulum pendulum NN 35024 263 15 for for IN 35024 263 16 the the DT 35024 263 17 absolute absolute JJ 35024 263 18 determination determination NN 35024 263 19 of of IN 35024 263 20 gravity gravity NN 35024 263 21 at at IN 35024 263 22 the the DT 35024 263 23 house house NN 35024 263 24 of of IN 35024 263 25 Henry Henry NNP 35024 263 26 Browne Browne NNP 35024 263 27 , , , 35024 263 28 F.R.S. F.R.S. NNP 35024 263 29 , , , 35024 263 30 in in IN 35024 263 31 Portland Portland NNP 35024 263 32 Place Place NNP 35024 263 33 , , , 35024 263 34 London London NNP 35024 263 35 . . . 35024 264 1 [ [ -LRB- 35024 264 2 24 24 CD 35024 264 3 ] ] -RRB- 35024 264 4 Kater Kater NNP 35024 264 5 's 's POS 35024 264 6 convertible convertible JJ 35024 264 7 pendulum pendulum NN 35024 264 8 ( ( -LRB- 35024 264 9 fig fig NN 35024 264 10 . . . 35024 265 1 11 11 CD 35024 265 2 ) ) -RRB- 35024 265 3 consisted consist VBD 35024 265 4 of of IN 35024 265 5 a a DT 35024 265 6 brass brass NN 35024 265 7 rod rod NN 35024 265 8 to to TO 35024 265 9 which which WDT 35024 265 10 were be VBD 35024 265 11 attached attach VBN 35024 265 12 a a DT 35024 265 13 flat flat JJ 35024 265 14 circular circular JJ 35024 265 15 bob bob NN 35024 265 16 of of IN 35024 265 17 brass brass NNP 35024 265 18 and and CC 35024 265 19 two two CD 35024 265 20 adjustable adjustable JJ 35024 265 21 weights weight NNS 35024 265 22 , , , 35024 265 23 the the DT 35024 265 24 smaller small JJR 35024 265 25 of of IN 35024 265 26 which which WDT 35024 265 27 was be VBD 35024 265 28 adjusted adjust VBN 35024 265 29 by by IN 35024 265 30 a a DT 35024 265 31 screw screw NN 35024 265 32 . . . 35024 266 1 The the DT 35024 266 2 convertibility convertibility NN 35024 266 3 of of IN 35024 266 4 the the DT 35024 266 5 pendulum pendulum NN 35024 266 6 was be VBD 35024 266 7 constituted constitute VBN 35024 266 8 by by IN 35024 266 9 the the DT 35024 266 10 provision provision NN 35024 266 11 of of IN 35024 266 12 two two CD 35024 266 13 knife knife NN 35024 266 14 edges edge NNS 35024 266 15 turned turn VBD 35024 266 16 inwards inward NNS 35024 266 17 on on IN 35024 266 18 opposite opposite JJ 35024 266 19 sides side NNS 35024 266 20 of of IN 35024 266 21 the the DT 35024 266 22 center center NN 35024 266 23 of of IN 35024 266 24 gravity gravity NN 35024 266 25 . . . 35024 267 1 The the DT 35024 267 2 pendulum pendulum NN 35024 267 3 was be VBD 35024 267 4 swung swing VBN 35024 267 5 on on IN 35024 267 6 each each DT 35024 267 7 knife knife NN 35024 267 8 edge edge NN 35024 267 9 , , , 35024 267 10 and and CC 35024 267 11 the the DT 35024 267 12 adjustable adjustable JJ 35024 267 13 weights weight NNS 35024 267 14 were be VBD 35024 267 15 moved move VBN 35024 267 16 until until IN 35024 267 17 the the DT 35024 267 18 times time NNS 35024 267 19 of of IN 35024 267 20 swing swing NN 35024 267 21 were be VBD 35024 267 22 the the DT 35024 267 23 same same JJ 35024 267 24 about about IN 35024 267 25 each each DT 35024 267 26 knife knife NN 35024 267 27 edge edge NN 35024 267 28 . . . 35024 268 1 When when WRB 35024 268 2 the the DT 35024 268 3 times time NNS 35024 268 4 were be VBD 35024 268 5 judged judge VBN 35024 268 6 to to TO 35024 268 7 be be VB 35024 268 8 the the DT 35024 268 9 same same JJ 35024 268 10 , , , 35024 268 11 the the DT 35024 268 12 distance distance NN 35024 268 13 between between IN 35024 268 14 the the DT 35024 268 15 knife knife NN 35024 268 16 edges edge NNS 35024 268 17 was be VBD 35024 268 18 inferred infer VBN 35024 268 19 to to TO 35024 268 20 be be VB 35024 268 21 the the DT 35024 268 22 length length NN 35024 268 23 of of IN 35024 268 24 the the DT 35024 268 25 equivalent equivalent JJ 35024 268 26 simple simple JJ 35024 268 27 pendulum pendulum NN 35024 268 28 , , , 35024 268 29 in in IN 35024 268 30 accordance accordance NN 35024 268 31 with with IN 35024 268 32 Huygens Huygens NNP 35024 268 33 ' ' POS 35024 268 34 theorem theorem NN 35024 268 35 on on IN 35024 268 36 conjugate conjugate JJ 35024 268 37 points point NNS 35024 268 38 of of IN 35024 268 39 a a DT 35024 268 40 compound compound NN 35024 268 41 pendulum pendulum NN 35024 268 42 . . . 35024 269 1 Kater kater NN 35024 269 2 determined determine VBD 35024 269 3 the the DT 35024 269 4 time time NN 35024 269 5 of of IN 35024 269 6 swing swing NN 35024 269 7 by by IN 35024 269 8 the the DT 35024 269 9 method method NN 35024 269 10 of of IN 35024 269 11 coincidences coincidence NNS 35024 269 12 ( ( -LRB- 35024 269 13 fig fig NN 35024 269 14 . . . 35024 270 1 12 12 CD 35024 270 2 ) ) -RRB- 35024 270 3 . . . 35024 271 1 He -PRON- PRP 35024 271 2 corrected correct VBD 35024 271 3 for for IN 35024 271 4 the the DT 35024 271 5 buoyancy buoyancy NN 35024 271 6 of of IN 35024 271 7 the the DT 35024 271 8 air air NN 35024 271 9 . . . 35024 272 1 The the DT 35024 272 2 final final JJ 35024 272 3 value value NN 35024 272 4 of of IN 35024 272 5 the the DT 35024 272 6 length length NN 35024 272 7 of of IN 35024 272 8 the the DT 35024 272 9 seconds second NNS 35024 272 10 pendulum pendulum NN 35024 272 11 at at IN 35024 272 12 Browne Browne NNP 35024 272 13 's 's POS 35024 272 14 house house NN 35024 272 15 in in IN 35024 272 16 London London NNP 35024 272 17 , , , 35024 272 18 reduced reduce VBN 35024 272 19 to to IN 35024 272 20 sea sea NN 35024 272 21 level level NN 35024 272 22 , , , 35024 272 23 was be VBD 35024 272 24 determined determined JJ 35024 272 25 to to TO 35024 272 26 be be VB 35024 272 27 39.13929 39.13929 CD 35024 272 28 inches inch NNS 35024 272 29 . . . 35024 273 1 The the DT 35024 273 2 convertible convertible JJ 35024 273 3 compound compound NN 35024 273 4 pendulum pendulum NN 35024 273 5 had have VBD 35024 273 6 been be VBN 35024 273 7 conceived conceive VBN 35024 273 8 prior prior RB 35024 273 9 to to IN 35024 273 10 its -PRON- PRP$ 35024 273 11 realization realization NN 35024 273 12 by by IN 35024 273 13 Kater Kater NNP 35024 273 14 . . . 35024 274 1 In in IN 35024 274 2 1792 1792 CD 35024 274 3 , , , 35024 274 4 on on IN 35024 274 5 the the DT 35024 274 6 occasion occasion NN 35024 274 7 of of IN 35024 274 8 the the DT 35024 274 9 proposal proposal NN 35024 274 10 in in IN 35024 274 11 Paris Paris NNP 35024 274 12 to to TO 35024 274 13 establish establish VB 35024 274 14 the the DT 35024 274 15 standard standard NN 35024 274 16 of of IN 35024 274 17 length length NN 35024 274 18 as as IN 35024 274 19 the the DT 35024 274 20 length length NN 35024 274 21 of of IN 35024 274 22 the the DT 35024 274 23 seconds second NNS 35024 274 24 pendulum pendulum NN 35024 274 25 , , , 35024 274 26 Baron Baron NNP 35024 274 27 de de NNP 35024 274 28 Prony Prony NNP 35024 274 29 had have VBD 35024 274 30 proposed propose VBN 35024 274 31 the the DT 35024 274 32 employment employment NN 35024 274 33 of of IN 35024 274 34 a a DT 35024 274 35 compound compound NN 35024 274 36 pendulum pendulum NN 35024 274 37 with with IN 35024 274 38 three three CD 35024 274 39 axes axis NNS 35024 274 40 of of IN 35024 274 41 oscillation oscillation NN 35024 274 42 . . . 35024 275 1 [ [ -LRB- 35024 275 2 25 25 CD 35024 275 3 ] ] -RRB- 35024 275 4 In in IN 35024 275 5 1800 1800 CD 35024 275 6 , , , 35024 275 7 he -PRON- PRP 35024 275 8 proposed propose VBD 35024 275 9 the the DT 35024 275 10 convertible convertible JJ 35024 275 11 compound compound NN 35024 275 12 pendulum pendulum NN 35024 275 13 with with IN 35024 275 14 knife knife NN 35024 275 15 edges edge NNS 35024 275 16 about about IN 35024 275 17 which which WDT 35024 275 18 the the DT 35024 275 19 pendulum pendulum NN 35024 275 20 could could MD 35024 275 21 complete complete VB 35024 275 22 swings swing NNS 35024 275 23 in in IN 35024 275 24 equal equal JJ 35024 275 25 times time NNS 35024 275 26 . . . 35024 276 1 De De NNP 35024 276 2 Prony Prony NNP 35024 276 3 's 's POS 35024 276 4 proposals proposal NNS 35024 276 5 were be VBD 35024 276 6 not not RB 35024 276 7 accepted accept VBN 35024 276 8 and and CC 35024 276 9 his -PRON- PRP$ 35024 276 10 papers paper NNS 35024 276 11 remained remain VBD 35024 276 12 unpublished unpublished JJ 35024 276 13 until until IN 35024 276 14 1889 1889 CD 35024 276 15 , , , 35024 276 16 at at IN 35024 276 17 which which WDT 35024 276 18 time time NN 35024 276 19 they -PRON- PRP 35024 276 20 were be VBD 35024 276 21 discovered discover VBN 35024 276 22 by by IN 35024 276 23 Defforges defforge NNS 35024 276 24 . . . 35024 277 1 The the DT 35024 277 2 French french JJ 35024 277 3 decision decision NN 35024 277 4 was be VBD 35024 277 5 to to TO 35024 277 6 experiment experiment VB 35024 277 7 with with IN 35024 277 8 the the DT 35024 277 9 ball ball NN 35024 277 10 pendulum pendulum NN 35024 277 11 , , , 35024 277 12 and and CC 35024 277 13 the the DT 35024 277 14 determination determination NN 35024 277 15 of of IN 35024 277 16 the the DT 35024 277 17 length length NN 35024 277 18 of of IN 35024 277 19 the the DT 35024 277 20 seconds second NNS 35024 277 21 pendulum pendulum NN 35024 277 22 was be VBD 35024 277 23 carried carry VBN 35024 277 24 out out RP 35024 277 25 by by IN 35024 277 26 Borda Borda NNP 35024 277 27 and and CC 35024 277 28 Cassini Cassini NNP 35024 277 29 by by IN 35024 277 30 methods method NNS 35024 277 31 previously previously RB 35024 277 32 described describe VBN 35024 277 33 . . . 35024 278 1 Bohnenberger Bohnenberger NNP 35024 278 2 in in IN 35024 278 3 his -PRON- PRP$ 35024 278 4 _ _ NNP 35024 278 5 Astronomie Astronomie NNP 35024 278 6 _ _ NNP 35024 278 7 ( ( -LRB- 35024 278 8 1811),[26 1811),[26 CD 35024 278 9 ] ] -RRB- 35024 278 10 made make VBD 35024 278 11 the the DT 35024 278 12 proposal proposal NN 35024 278 13 to to TO 35024 278 14 employ employ VB 35024 278 15 a a DT 35024 278 16 convertible convertible JJ 35024 278 17 pendulum pendulum NN 35024 278 18 for for IN 35024 278 19 the the DT 35024 278 20 absolute absolute JJ 35024 278 21 determination determination NN 35024 278 22 of of IN 35024 278 23 gravity gravity NN 35024 278 24 ; ; : 35024 278 25 thus thus RB 35024 278 26 , , , 35024 278 27 he -PRON- PRP 35024 278 28 has have VBZ 35024 278 29 received receive VBN 35024 278 30 credit credit NN 35024 278 31 for for IN 35024 278 32 priority priority NN 35024 278 33 in in IN 35024 278 34 publication publication NN 35024 278 35 . . . 35024 279 1 Capt capt NN 35024 279 2 . . . 35024 280 1 Kater kater NN 35024 280 2 independently independently RB 35024 280 3 conceived conceive VBD 35024 280 4 of of IN 35024 280 5 the the DT 35024 280 6 convertible convertible JJ 35024 280 7 pendulum pendulum NN 35024 280 8 and and CC 35024 280 9 was be VBD 35024 280 10 the the DT 35024 280 11 first first JJ 35024 280 12 to to TO 35024 280 13 design design VB 35024 280 14 , , , 35024 280 15 construct construct VB 35024 280 16 , , , 35024 280 17 and and CC 35024 280 18 swing swing VB 35024 280 19 one one CD 35024 280 20 . . . 35024 281 1 [ [ -LRB- 35024 281 2 Illustration illustration NN 35024 281 3 : : : 35024 281 4 Figure figure NN 35024 281 5 10.--HENRY 10.--henry CD 35024 281 6 KATER KATER NNP 35024 281 7 ( ( -LRB- 35024 281 8 1777 1777 CD 35024 281 9 - - SYM 35024 281 10 1835 1835 CD 35024 281 11 ) ) -RRB- 35024 281 12 , , , 35024 281 13 English english JJ 35024 281 14 army army NN 35024 281 15 officer officer NN 35024 281 16 and and CC 35024 281 17 physicist physicist NN 35024 281 18 . . . 35024 282 1 His -PRON- PRP$ 35024 282 2 scientific scientific JJ 35024 282 3 career career NN 35024 282 4 began begin VBD 35024 282 5 during during IN 35024 282 6 his -PRON- PRP$ 35024 282 7 military military JJ 35024 282 8 service service NN 35024 282 9 in in IN 35024 282 10 India India NNP 35024 282 11 , , , 35024 282 12 where where WRB 35024 282 13 he -PRON- PRP 35024 282 14 assisted assist VBD 35024 282 15 in in IN 35024 282 16 the the DT 35024 282 17 " " `` 35024 282 18 great great JJ 35024 282 19 trigonometrical trigonometrical JJ 35024 282 20 survey survey NN 35024 282 21 . . . 35024 282 22 " " '' 35024 283 1 Returned return VBN 35024 283 2 to to IN 35024 283 3 England England NNP 35024 283 4 because because IN 35024 283 5 of of IN 35024 283 6 bad bad JJ 35024 283 7 health health NN 35024 283 8 , , , 35024 283 9 and and CC 35024 283 10 retired retire VBN 35024 283 11 in in IN 35024 283 12 1814 1814 CD 35024 283 13 , , , 35024 283 14 he -PRON- PRP 35024 283 15 pioneered pioneer VBD 35024 283 16 ( ( -LRB- 35024 283 17 1818 1818 CD 35024 283 18 ) ) -RRB- 35024 283 19 in in IN 35024 283 20 the the DT 35024 283 21 development development NN 35024 283 22 of of IN 35024 283 23 the the DT 35024 283 24 convertible convertible JJ 35024 283 25 pendulum pendulum NN 35024 283 26 as as IN 35024 283 27 an an DT 35024 283 28 alternative alternative NN 35024 283 29 to to IN 35024 283 30 the the DT 35024 283 31 approximation approximation NN 35024 283 32 of of IN 35024 283 33 the the DT 35024 283 34 " " `` 35024 283 35 simple simple JJ 35024 283 36 " " '' 35024 283 37 pendulum pendulum NN 35024 283 38 for for IN 35024 283 39 the the DT 35024 283 40 measurement measurement NN 35024 283 41 of of IN 35024 283 42 the the DT 35024 283 43 " " `` 35024 283 44 seconds second NNS 35024 283 45 pendulum pendulum NN 35024 283 46 . . . 35024 283 47 " " '' 35024 284 1 Kater Kater NNP 35024 284 2 's 's POS 35024 284 3 convertible convertible JJ 35024 284 4 pendulum pendulum NN 35024 284 5 and and CC 35024 284 6 the the DT 35024 284 7 invariable invariable JJ 35024 284 8 pendulum pendulum NN 35024 284 9 introduced introduce VBN 35024 284 10 by by IN 35024 284 11 him -PRON- PRP 35024 284 12 in in IN 35024 284 13 1819 1819 CD 35024 284 14 were be VBD 35024 284 15 the the DT 35024 284 16 basis basis NN 35024 284 17 of of IN 35024 284 18 English english JJ 35024 284 19 pendulum pendulum NN 35024 284 20 work work NN 35024 284 21 . . . 35024 285 1 ( ( -LRB- 35024 285 2 _ _ NNP 35024 285 3 Photo Photo NNP 35024 285 4 courtesy courtesy NN 35024 285 5 National National NNP 35024 285 6 Portrait Portrait NNP 35024 285 7 Gallery Gallery NNP 35024 285 8 , , , 35024 285 9 London London NNP 35024 285 10 . . . 35024 285 11 _ _ NNP 35024 285 12 ) ) -RRB- 35024 285 13 ] ] -RRB- 35024 285 14 After after IN 35024 285 15 his -PRON- PRP$ 35024 285 16 observations observation NNS 35024 285 17 with with IN 35024 285 18 the the DT 35024 285 19 convertible convertible JJ 35024 285 20 pendulum pendulum NN 35024 285 21 , , , 35024 285 22 Capt Capt NNP 35024 285 23 . . . 35024 286 1 Kater Kater NNP 35024 286 2 designed design VBD 35024 286 3 an an DT 35024 286 4 invariable invariable JJ 35024 286 5 compound compound NN 35024 286 6 pendulum pendulum NN 35024 286 7 with with IN 35024 286 8 a a DT 35024 286 9 single single JJ 35024 286 10 knife knife NN 35024 286 11 edge edge NN 35024 286 12 but but CC 35024 286 13 otherwise otherwise RB 35024 286 14 similar similar JJ 35024 286 15 in in IN 35024 286 16 external external JJ 35024 286 17 form form NN 35024 286 18 to to IN 35024 286 19 the the DT 35024 286 20 convertible convertible JJ 35024 286 21 pendulum[27 pendulum[27 NN 35024 286 22 ] ] -RRB- 35024 286 23 ( ( -LRB- 35024 286 24 fig fig NN 35024 286 25 . . . 35024 287 1 13 13 CD 35024 287 2 ) ) -RRB- 35024 287 3 . . . 35024 288 1 Thirteen thirteen CD 35024 288 2 of of IN 35024 288 3 these these DT 35024 288 4 Kater Kater NNP 35024 288 5 invariable invariable JJ 35024 288 6 pendulums pendulum NNS 35024 288 7 have have VBP 35024 288 8 been be VBN 35024 288 9 reported report VBN 35024 288 10 as as IN 35024 288 11 constructed construct VBN 35024 288 12 and and CC 35024 288 13 swung swing VBN 35024 288 14 at at IN 35024 288 15 stations station NNS 35024 288 16 throughout throughout IN 35024 288 17 the the DT 35024 288 18 world world NN 35024 288 19 . . . 35024 289 1 [ [ -LRB- 35024 289 2 28 28 CD 35024 289 3 ] ] -RRB- 35024 289 4 Kater Kater NNP 35024 289 5 himself -PRON- PRP 35024 289 6 swung swing VBD 35024 289 7 an an DT 35024 289 8 invariable invariable JJ 35024 289 9 pendulum pendulum NN 35024 289 10 at at IN 35024 289 11 a a DT 35024 289 12 station station NN 35024 289 13 in in IN 35024 289 14 London London NNP 35024 289 15 and and CC 35024 289 16 at at IN 35024 289 17 various various JJ 35024 289 18 other other JJ 35024 289 19 stations station NNS 35024 289 20 in in IN 35024 289 21 the the DT 35024 289 22 British british JJ 35024 289 23 Isles Isles NNPS 35024 289 24 . . . 35024 290 1 Capt capt NN 35024 290 2 . . . 35024 291 1 Edward Edward NNP 35024 291 2 Sabine Sabine NNP 35024 291 3 , , , 35024 291 4 between between IN 35024 291 5 1820 1820 CD 35024 291 6 and and CC 35024 291 7 1825 1825 CD 35024 291 8 , , , 35024 291 9 made make VBD 35024 291 10 voyages voyage NNS 35024 291 11 and and CC 35024 291 12 swung swing VBD 35024 291 13 Kater Kater NNP 35024 291 14 invariable invariable JJ 35024 291 15 pendulums pendulum NNS 35024 291 16 at at IN 35024 291 17 stations station NNS 35024 291 18 from from IN 35024 291 19 the the DT 35024 291 20 West West NNP 35024 291 21 Indies Indies NNPS 35024 291 22 to to TO 35024 291 23 Greenland Greenland NNP 35024 291 24 and and CC 35024 291 25 Spitzbergen Spitzbergen NNP 35024 291 26 . . . 35024 292 1 [ [ -LRB- 35024 292 2 29 29 CD 35024 292 3 ] ] -RRB- 35024 292 4 In in IN 35024 292 5 1820 1820 CD 35024 292 6 , , , 35024 292 7 Kater Kater NNP 35024 292 8 swung swing VBD 35024 292 9 a a DT 35024 292 10 Kater Kater NNP 35024 292 11 invariable invariable JJ 35024 292 12 pendulum pendulum NN 35024 292 13 at at IN 35024 292 14 London London NNP 35024 292 15 and and CC 35024 292 16 then then RB 35024 292 17 sent send VBD 35024 292 18 it -PRON- PRP 35024 292 19 to to IN 35024 292 20 Goldingham Goldingham NNP 35024 292 21 , , , 35024 292 22 who who WP 35024 292 23 swung swing VBD 35024 292 24 it -PRON- PRP 35024 292 25 in in IN 35024 292 26 1821 1821 CD 35024 292 27 at at IN 35024 292 28 Madras Madras NNP 35024 292 29 , , , 35024 292 30 India India NNP 35024 292 31 . . . 35024 293 1 [ [ -LRB- 35024 293 2 30 30 CD 35024 293 3 ] ] -RRB- 35024 293 4 Also also RB 35024 293 5 in in IN 35024 293 6 1820 1820 CD 35024 293 7 , , , 35024 293 8 Kater Kater NNP 35024 293 9 supplied supply VBD 35024 293 10 an an DT 35024 293 11 invariable invariable JJ 35024 293 12 pendulum pendulum NN 35024 293 13 to to IN 35024 293 14 Hall Hall NNP 35024 293 15 , , , 35024 293 16 who who WP 35024 293 17 swung swing VBD 35024 293 18 it -PRON- PRP 35024 293 19 at at IN 35024 293 20 London London NNP 35024 293 21 and and CC 35024 293 22 then then RB 35024 293 23 made make VBD 35024 293 24 observations observation NNS 35024 293 25 near near IN 35024 293 26 the the DT 35024 293 27 equator equator NN 35024 293 28 and and CC 35024 293 29 in in IN 35024 293 30 the the DT 35024 293 31 Southern Southern NNP 35024 293 32 Hemisphere Hemisphere NNP 35024 293 33 , , , 35024 293 34 and and CC 35024 293 35 at at IN 35024 293 36 London London NNP 35024 293 37 again again RB 35024 293 38 in in IN 35024 293 39 1823 1823 CD 35024 293 40 . . . 35024 294 1 [ [ -LRB- 35024 294 2 31 31 CD 35024 294 3 ] ] -RRB- 35024 294 4 The the DT 35024 294 5 same same JJ 35024 294 6 pendulum pendulum NN 35024 294 7 , , , 35024 294 8 after after IN 35024 294 9 its -PRON- PRP$ 35024 294 10 knives knife NNS 35024 294 11 were be VBD 35024 294 12 reground reground NN 35024 294 13 , , , 35024 294 14 was be VBD 35024 294 15 delivered deliver VBN 35024 294 16 to to IN 35024 294 17 Adm. Adm. NNP 35024 294 18 Lütke Lütke NNP 35024 294 19 of of IN 35024 294 20 Russia Russia NNP 35024 294 21 , , , 35024 294 22 who who WP 35024 294 23 observed observe VBD 35024 294 24 gravity gravity NN 35024 294 25 with with IN 35024 294 26 it -PRON- PRP 35024 294 27 on on IN 35024 294 28 a a DT 35024 294 29 trip trip NN 35024 294 30 around around IN 35024 294 31 the the DT 35024 294 32 world world NN 35024 294 33 between between IN 35024 294 34 1826 1826 CD 35024 294 35 and and CC 35024 294 36 1829 1829 CD 35024 294 37 . . . 35024 295 1 [ [ -LRB- 35024 295 2 32 32 CD 35024 295 3 ] ] -RRB- 35024 295 4 [ [ -LRB- 35024 295 5 Illustration illustration NN 35024 295 6 : : : 35024 295 7 Figure figure NN 35024 295 8 11.--THE 11.--the CD 35024 295 9 ATTEMPT ATTEMPT NNP 35024 295 10 TO to IN 35024 295 11 APPROXIMATE APPROXIMATE NNP 35024 295 12 the the DT 35024 295 13 simple simple JJ 35024 295 14 ( ( -LRB- 35024 295 15 theoretical theoretical JJ 35024 295 16 ) ) -RRB- 35024 295 17 pendulum pendulum NN 35024 295 18 in in IN 35024 295 19 gravity gravity NN 35024 295 20 experiments experiment NNS 35024 295 21 ended end VBD 35024 295 22 in in IN 35024 295 23 1817 1817 CD 35024 295 24 - - SYM 35024 295 25 18 18 CD 35024 295 26 when when WRB 35024 295 27 Henry Henry NNP 35024 295 28 Kater Kater NNP 35024 295 29 invented invent VBD 35024 295 30 the the DT 35024 295 31 compound compound NN 35024 295 32 convertible convertible JJ 35024 295 33 pendulum pendulum NN 35024 295 34 , , , 35024 295 35 from from IN 35024 295 36 which which WDT 35024 295 37 the the DT 35024 295 38 equivalent equivalent JJ 35024 295 39 simple simple JJ 35024 295 40 pendulum pendulum NN 35024 295 41 could could MD 35024 295 42 be be VB 35024 295 43 obtained obtain VBN 35024 295 44 according accord VBG 35024 295 45 to to IN 35024 295 46 the the DT 35024 295 47 method method NN 35024 295 48 of of IN 35024 295 49 Huygens Huygens NNP 35024 295 50 ( ( -LRB- 35024 295 51 see see VB 35024 295 52 text text NN 35024 295 53 , , , 35024 295 54 p. p. NN 35024 295 55 314 314 CD 35024 295 56 ) ) -RRB- 35024 295 57 . . . 35024 296 1 Developed develop VBN 35024 296 2 in in IN 35024 296 3 connection connection NN 35024 296 4 with with IN 35024 296 5 a a DT 35024 296 6 project project NN 35024 296 7 to to TO 35024 296 8 fix fix VB 35024 296 9 the the DT 35024 296 10 standard standard NN 35024 296 11 of of IN 35024 296 12 English english JJ 35024 296 13 measure measure NN 35024 296 14 , , , 35024 296 15 Kater Kater NNP 35024 296 16 's 's POS 35024 296 17 pendulum pendulum NN 35024 296 18 was be VBD 35024 296 19 called call VBN 35024 296 20 " " `` 35024 296 21 compound compound NN 35024 296 22 " " '' 35024 296 23 because because IN 35024 296 24 it -PRON- PRP 35024 296 25 was be VBD 35024 296 26 a a DT 35024 296 27 solid solid JJ 35024 296 28 bar bar NN 35024 296 29 rather rather RB 35024 296 30 than than IN 35024 296 31 the the DT 35024 296 32 fine fine JJ 35024 296 33 wire wire NN 35024 296 34 or or CC 35024 296 35 string string NN 35024 296 36 with with IN 35024 296 37 which which WDT 35024 296 38 earlier early JJR 35024 296 39 experimenters experimenter NNS 35024 296 40 had have VBD 35024 296 41 tried try VBN 35024 296 42 to to TO 35024 296 43 approximate approximate VB 35024 296 44 a a DT 35024 296 45 " " `` 35024 296 46 weightless weightless JJ 35024 296 47 " " '' 35024 296 48 rod rod NN 35024 296 49 . . . 35024 297 1 It -PRON- PRP 35024 297 2 was be VBD 35024 297 3 called call VBN 35024 297 4 convertible convertible JJ 35024 297 5 because because IN 35024 297 6 it -PRON- PRP 35024 297 7 is be VBZ 35024 297 8 alternately alternately RB 35024 297 9 swung swing VBN 35024 297 10 from from IN 35024 297 11 the the DT 35024 297 12 two two CD 35024 297 13 knife knife NN 35024 297 14 edges edge NNS 35024 297 15 ( ( -LRB- 35024 297 16 _ _ NNP 35024 297 17 a a DT 35024 297 18 _ _ NNP 35024 297 19 and and CC 35024 297 20 _ _ NNP 35024 297 21 b b NNP 35024 297 22 _ _ NNP 35024 297 23 ) ) -RRB- 35024 297 24 at at IN 35024 297 25 opposite opposite JJ 35024 297 26 ends end NNS 35024 297 27 . . . 35024 298 1 The the DT 35024 298 2 weights weight NNS 35024 298 3 ( ( -LRB- 35024 298 4 _ _ NNP 35024 298 5 f f NNP 35024 298 6 _ _ NNP 35024 298 7 and and CC 35024 298 8 _ _ NNP 35024 298 9 g g NNP 35024 298 10 _ _ NNP 35024 298 11 ) ) -RRB- 35024 298 12 are be VBP 35024 298 13 adjusted adjust VBN 35024 298 14 so so IN 35024 298 15 that that IN 35024 298 16 the the DT 35024 298 17 period period NN 35024 298 18 of of IN 35024 298 19 the the DT 35024 298 20 pendulum pendulum NN 35024 298 21 is be VBZ 35024 298 22 the the DT 35024 298 23 same same JJ 35024 298 24 from from IN 35024 298 25 either either DT 35024 298 26 knife knife NN 35024 298 27 edge edge NN 35024 298 28 . . . 35024 299 1 The the DT 35024 299 2 distance distance NN 35024 299 3 between between IN 35024 299 4 the the DT 35024 299 5 two two CD 35024 299 6 knife knife NN 35024 299 7 edges edge NNS 35024 299 8 is be VBZ 35024 299 9 then then RB 35024 299 10 equal equal JJ 35024 299 11 to to IN 35024 299 12 the the DT 35024 299 13 length length NN 35024 299 14 of of IN 35024 299 15 the the DT 35024 299 16 equivalent equivalent JJ 35024 299 17 simple simple JJ 35024 299 18 pendulum pendulum NN 35024 299 19 . . . 35024 299 20 ] ] -RRB- 35024 300 1 [ [ -LRB- 35024 300 2 Illustration illustration NN 35024 300 3 : : : 35024 300 4 Figure figure NN 35024 300 5 12.--THE 12.--the CD 35024 300 6 KATER KATER NNP 35024 300 7 CONVERTIBLE CONVERTIBLE NNP 35024 300 8 PENDULUM PENDULUM NNP 35024 300 9 in in IN 35024 300 10 use use NN 35024 300 11 is be VBZ 35024 300 12 placed place VBN 35024 300 13 before before IN 35024 300 14 a a DT 35024 300 15 clock clock NN 35024 300 16 , , , 35024 300 17 whose whose WP$ 35024 300 18 pendulum pendulum NN 35024 300 19 bob bob NNP 35024 300 20 is be VBZ 35024 300 21 directly directly RB 35024 300 22 behind behind IN 35024 300 23 the the DT 35024 300 24 extended extended JJ 35024 300 25 " " `` 35024 300 26 tail tail NN 35024 300 27 " " '' 35024 300 28 of of IN 35024 300 29 the the DT 35024 300 30 Kater Kater NNP 35024 300 31 pendulum pendulum NN 35024 300 32 . . . 35024 301 1 A a DT 35024 301 2 white white JJ 35024 301 3 spot spot NN 35024 301 4 is be VBZ 35024 301 5 painted paint VBN 35024 301 6 on on IN 35024 301 7 the the DT 35024 301 8 center center NN 35024 301 9 of of IN 35024 301 10 the the DT 35024 301 11 bob bob NNP 35024 301 12 of of IN 35024 301 13 the the DT 35024 301 14 clock clock NN 35024 301 15 pendulum pendulum NN 35024 301 16 . . . 35024 302 1 The the DT 35024 302 2 observing observe VBG 35024 302 3 telescope telescope NN 35024 302 4 , , , 35024 302 5 left leave VBN 35024 302 6 , , , 35024 302 7 has have VBZ 35024 302 8 a a DT 35024 302 9 diaphragm diaphragm NN 35024 302 10 with with IN 35024 302 11 a a DT 35024 302 12 vertical vertical JJ 35024 302 13 slit slit NN 35024 302 14 of of IN 35024 302 15 such such JJ 35024 302 16 width width NN 35024 302 17 that that WDT 35024 302 18 its -PRON- PRP$ 35024 302 19 view view NN 35024 302 20 is be VBZ 35024 302 21 just just RB 35024 302 22 filled fill VBN 35024 302 23 by by IN 35024 302 24 the the DT 35024 302 25 tail tail NN 35024 302 26 of of IN 35024 302 27 the the DT 35024 302 28 Kater Kater NNP 35024 302 29 pendulum pendulum NN 35024 302 30 when when WRB 35024 302 31 it -PRON- PRP 35024 302 32 is be VBZ 35024 302 33 at at IN 35024 302 34 rest rest NN 35024 302 35 . . . 35024 303 1 When when WRB 35024 303 2 the the DT 35024 303 3 two two CD 35024 303 4 pendulums pendulum NNS 35024 303 5 are be VBP 35024 303 6 swinging swinge VBG 35024 303 7 , , , 35024 303 8 the the DT 35024 303 9 white white JJ 35024 303 10 spot spot NN 35024 303 11 on on IN 35024 303 12 the the DT 35024 303 13 clock clock NN 35024 303 14 pendulum pendulum NN 35024 303 15 can can MD 35024 303 16 be be VB 35024 303 17 seen see VBN 35024 303 18 on on IN 35024 303 19 each each DT 35024 303 20 swing swing NN 35024 303 21 except except IN 35024 303 22 that that IN 35024 303 23 in in IN 35024 303 24 which which WDT 35024 303 25 the the DT 35024 303 26 two two CD 35024 303 27 pendulums pendulum NNS 35024 303 28 are be VBP 35024 303 29 in in IN 35024 303 30 coincidence coincidence NN 35024 303 31 ; ; : 35024 303 32 thus thus RB 35024 303 33 , , , 35024 303 34 the the DT 35024 303 35 coincidences coincidence NNS 35024 303 36 are be VBP 35024 303 37 determined determine VBN 35024 303 38 . . . 35024 304 1 ( ( -LRB- 35024 304 2 Portion portion NN 35024 304 3 of of IN 35024 304 4 plate plate NN 35024 304 5 5 5 CD 35024 304 6 , , , 35024 304 7 _ _ NNP 35024 304 8 Mémoires Mémoires NNP 35024 304 9 publiés publiés NN 35024 304 10 par par NN 35024 304 11 la la FW 35024 304 12 Société Société NNP 35024 304 13 française française NN 35024 304 14 de de IN 35024 304 15 Physique Physique NNP 35024 304 16 _ _ NNP 35024 304 17 , , , 35024 304 18 vol vol NNP 35024 304 19 . . . 35024 305 1 4 4 LS 35024 305 2 . . . 35024 305 3 ) ) -RRB- 35024 305 4 ] ] -RRB- 35024 306 1 [ [ -LRB- 35024 306 2 Illustration illustration NN 35024 306 3 : : : 35024 306 4 Figure figure NN 35024 306 5 13.--THIS 13.--this CD 35024 306 6 DRAWING drawing NN 35024 306 7 ACCOMPANIED ACCOMPANIED NNP 35024 306 8 John John NNP 35024 306 9 Goldingham Goldingham NNP 35024 306 10 's 's POS 35024 306 11 report report NN 35024 306 12 on on IN 35024 306 13 the the DT 35024 306 14 work work NN 35024 306 15 done do VBN 35024 306 16 in in IN 35024 306 17 India India NNP 35024 306 18 with with IN 35024 306 19 Kater Kater NNP 35024 306 20 's 's POS 35024 306 21 invariable invariable JJ 35024 306 22 pendulum pendulum NN 35024 306 23 . . . 35024 307 1 The the DT 35024 307 2 value value NN 35024 307 3 of of IN 35024 307 4 gravity gravity NN 35024 307 5 obtained obtain VBN 35024 307 6 , , , 35024 307 7 directly directly RB 35024 307 8 or or CC 35024 307 9 indirectly indirectly RB 35024 307 10 , , , 35024 307 11 in in IN 35024 307 12 terms term NNS 35024 307 13 of of IN 35024 307 14 the the DT 35024 307 15 simple simple JJ 35024 307 16 pendulum pendulum NN 35024 307 17 , , , 35024 307 18 is be VBZ 35024 307 19 called call VBN 35024 307 20 " " `` 35024 307 21 absolute absolute JJ 35024 307 22 . . . 35024 307 23 " " '' 35024 308 1 Once once IN 35024 308 2 absolute absolute JJ 35024 308 3 values value NNS 35024 308 4 of of IN 35024 308 5 gravity gravity NN 35024 308 6 were be VBD 35024 308 7 established establish VBN 35024 308 8 at at IN 35024 308 9 a a DT 35024 308 10 number number NN 35024 308 11 of of IN 35024 308 12 stations station NNS 35024 308 13 , , , 35024 308 14 it -PRON- PRP 35024 308 15 became become VBD 35024 308 16 possible possible JJ 35024 308 17 to to TO 35024 308 18 use use VB 35024 308 19 the the DT 35024 308 20 much much RB 35024 308 21 simpler simple JJR 35024 308 22 " " `` 35024 308 23 relative relative JJ 35024 308 24 " " '' 35024 308 25 method method NN 35024 308 26 for for IN 35024 308 27 the the DT 35024 308 28 measurement measurement NN 35024 308 29 of of IN 35024 308 30 gravity gravity NN 35024 308 31 at at IN 35024 308 32 new new JJ 35024 308 33 stations station NNS 35024 308 34 . . . 35024 309 1 Because because IN 35024 309 2 it -PRON- PRP 35024 309 3 has have VBZ 35024 309 4 only only RB 35024 309 5 one one CD 35024 309 6 knife knife NN 35024 309 7 edge edge NN 35024 309 8 , , , 35024 309 9 and and CC 35024 309 10 does do VBZ 35024 309 11 not not RB 35024 309 12 involve involve VB 35024 309 13 the the DT 35024 309 14 adjustments adjustment NNS 35024 309 15 of of IN 35024 309 16 the the DT 35024 309 17 convertible convertible JJ 35024 309 18 pendulum pendulum NN 35024 309 19 , , , 35024 309 20 this this DT 35024 309 21 one one NN 35024 309 22 is be VBZ 35024 309 23 called call VBN 35024 309 24 " " `` 35024 309 25 invariable invariable JJ 35024 309 26 . . . 35024 309 27 " " '' 35024 310 1 In in IN 35024 310 2 use use NN 35024 310 3 , , , 35024 310 4 it -PRON- PRP 35024 310 5 is be VBZ 35024 310 6 first first RB 35024 310 7 swung swing VBN 35024 310 8 at at IN 35024 310 9 a a DT 35024 310 10 station station NN 35024 310 11 where where WRB 35024 310 12 the the DT 35024 310 13 absolute absolute JJ 35024 310 14 value value NN 35024 310 15 of of IN 35024 310 16 gravity gravity NN 35024 310 17 has have VBZ 35024 310 18 been be VBN 35024 310 19 established establish VBN 35024 310 20 , , , 35024 310 21 and and CC 35024 310 22 this this DT 35024 310 23 period period NN 35024 310 24 is be VBZ 35024 310 25 then then RB 35024 310 26 compared compare VBN 35024 310 27 with with IN 35024 310 28 its -PRON- PRP$ 35024 310 29 period period NN 35024 310 30 at at IN 35024 310 31 one one CD 35024 310 32 or or CC 35024 310 33 more more JJR 35024 310 34 new new JJ 35024 310 35 stations station NNS 35024 310 36 . . . 35024 311 1 Kater Kater NNP 35024 311 2 developed develop VBD 35024 311 3 an an DT 35024 311 4 invariable invariable JJ 35024 311 5 pendulum pendulum NN 35024 311 6 in in IN 35024 311 7 1819 1819 CD 35024 311 8 , , , 35024 311 9 which which WDT 35024 311 10 was be VBD 35024 311 11 used use VBN 35024 311 12 in in IN 35024 311 13 England England NNP 35024 311 14 and and CC 35024 311 15 in in IN 35024 311 16 Madras Madras NNP 35024 311 17 , , , 35024 311 18 India India NNP 35024 311 19 , , , 35024 311 20 in in IN 35024 311 21 1821 1821 CD 35024 311 22 . . . 35024 311 23 ] ] -RRB- 35024 312 1 While while IN 35024 312 2 the the DT 35024 312 3 British British NNPS 35024 312 4 were be VBD 35024 312 5 engaged engage VBN 35024 312 6 in in IN 35024 312 7 swinging swinge VBG 35024 312 8 the the DT 35024 312 9 Kater Kater NNP 35024 312 10 invariable invariable JJ 35024 312 11 pendulums pendulum NNS 35024 312 12 to to TO 35024 312 13 determine determine VB 35024 312 14 relative relative JJ 35024 312 15 values value NNS 35024 312 16 of of IN 35024 312 17 the the DT 35024 312 18 length length NN 35024 312 19 of of IN 35024 312 20 the the DT 35024 312 21 seconds second NNS 35024 312 22 pendulum pendulum NN 35024 312 23 , , , 35024 312 24 or or CC 35024 312 25 of of IN 35024 312 26 gravity gravity NN 35024 312 27 , , , 35024 312 28 the the DT 35024 312 29 French French NNP 35024 312 30 also also RB 35024 312 31 sent send VBD 35024 312 32 out out RP 35024 312 33 expeditions expedition NNS 35024 312 34 . . . 35024 313 1 Capt capt NN 35024 313 2 . . . 35024 314 1 de de NNP 35024 314 2 Freycinet Freycinet NNP 35024 314 3 made make VBD 35024 314 4 initial initial JJ 35024 314 5 observations observation NNS 35024 314 6 at at IN 35024 314 7 Paris Paris NNP 35024 314 8 with with IN 35024 314 9 three three CD 35024 314 10 invariable invariable JJ 35024 314 11 brass brass NN 35024 314 12 pendulums pendulum NNS 35024 314 13 and and CC 35024 314 14 one one CD 35024 314 15 wooden wooden JJ 35024 314 16 one one NN 35024 314 17 , , , 35024 314 18 and and CC 35024 314 19 then then RB 35024 314 20 carried carry VBD 35024 314 21 out out RP 35024 314 22 observations observation NNS 35024 314 23 at at IN 35024 314 24 Rio Rio NNP 35024 314 25 de de NNP 35024 314 26 Janeiro Janeiro NNP 35024 314 27 , , , 35024 314 28 Cape Cape NNP 35024 314 29 of of IN 35024 314 30 Good Good NNP 35024 314 31 Hope Hope NNP 35024 314 32 , , , 35024 314 33 Île Île NNP 35024 314 34 de de NNP 35024 314 35 France France NNP 35024 314 36 , , , 35024 314 37 Rawak Rawak NNP 35024 314 38 ( ( -LRB- 35024 314 39 near near IN 35024 314 40 New New NNP 35024 314 41 Guinea Guinea NNP 35024 314 42 ) ) -RRB- 35024 314 43 , , , 35024 314 44 Guam Guam NNP 35024 314 45 , , , 35024 314 46 Maui Maui NNP 35024 314 47 , , , 35024 314 48 and and CC 35024 314 49 various various JJ 35024 314 50 other other JJ 35024 314 51 places place NNS 35024 314 52 . . . 35024 315 1 [ [ -LRB- 35024 315 2 33 33 CD 35024 315 3 ] ] -RRB- 35024 315 4 A a DT 35024 315 5 similar similar JJ 35024 315 6 expedition expedition NN 35024 315 7 was be VBD 35024 315 8 conducted conduct VBN 35024 315 9 in in IN 35024 315 10 1822 1822 CD 35024 315 11 - - SYM 35024 315 12 1825 1825 CD 35024 315 13 by by IN 35024 315 14 Captain Captain NNP 35024 315 15 Duperry Duperry NNP 35024 315 16 . . . 35024 316 1 [ [ -LRB- 35024 316 2 34 34 CD 35024 316 3 ] ] -RRB- 35024 316 4 During during IN 35024 316 5 the the DT 35024 316 6 years year NNS 35024 316 7 from from IN 35024 316 8 1827 1827 CD 35024 316 9 to to IN 35024 316 10 1840 1840 CD 35024 316 11 , , , 35024 316 12 various various JJ 35024 316 13 types type NNS 35024 316 14 of of IN 35024 316 15 pendulum pendulum NN 35024 316 16 were be VBD 35024 316 17 constructed construct VBN 35024 316 18 and and CC 35024 316 19 swung swing VBN 35024 316 20 by by IN 35024 316 21 Francis Francis NNP 35024 316 22 Baily Baily NNP 35024 316 23 , , , 35024 316 24 a a DT 35024 316 25 member member NN 35024 316 26 of of IN 35024 316 27 the the DT 35024 316 28 Royal Royal NNP 35024 316 29 Astronomical Astronomical NNP 35024 316 30 Society Society NNP 35024 316 31 , , , 35024 316 32 who who WP 35024 316 33 reported report VBD 35024 316 34 in in IN 35024 316 35 1832 1832 CD 35024 316 36 on on IN 35024 316 37 experiments experiment NNS 35024 316 38 in in IN 35024 316 39 which which WDT 35024 316 40 no no RB 35024 316 41 less less JJR 35024 316 42 than than IN 35024 316 43 41 41 CD 35024 316 44 different different JJ 35024 316 45 pendulums pendulum NNS 35024 316 46 were be VBD 35024 316 47 swung swing VBN 35024 316 48 in in IN 35024 316 49 vacuo vacuo NNS 35024 316 50 , , , 35024 316 51 and and CC 35024 316 52 their -PRON- PRP$ 35024 316 53 characteristics characteristic NNS 35024 316 54 determined determine VBN 35024 316 55 . . . 35024 317 1 [ [ -LRB- 35024 317 2 35 35 CD 35024 317 3 ] ] -RRB- 35024 317 4 In in IN 35024 317 5 1836 1836 CD 35024 317 6 , , , 35024 317 7 Baily Baily NNP 35024 317 8 undertook undertake VBD 35024 317 9 to to TO 35024 317 10 advise advise VB 35024 317 11 the the DT 35024 317 12 American American NNP 35024 317 13 Lt Lt NNP 35024 317 14 . . NNP 35024 317 15 Charles Charles NNP 35024 317 16 Wilkes Wilkes NNP 35024 317 17 , , , 35024 317 18 who who WP 35024 317 19 was be VBD 35024 317 20 to to TO 35024 317 21 head head VB 35024 317 22 the the DT 35024 317 23 United United NNP 35024 317 24 States States NNP 35024 317 25 Exploring Exploring NNP 35024 317 26 Expedition Expedition NNP 35024 317 27 of of IN 35024 317 28 1838 1838 CD 35024 317 29 - - SYM 35024 317 30 1842 1842 CD 35024 317 31 , , , 35024 317 32 on on IN 35024 317 33 the the DT 35024 317 34 procurement procurement NN 35024 317 35 of of IN 35024 317 36 pendulums pendulum NNS 35024 317 37 for for IN 35024 317 38 this this DT 35024 317 39 voyage voyage NN 35024 317 40 . . . 35024 318 1 Wilkes Wilkes NNP 35024 318 2 ordered order VBN 35024 318 3 from from IN 35024 318 4 the the DT 35024 318 5 London London NNP 35024 318 6 instrument instrument NN 35024 318 7 maker maker NN 35024 318 8 , , , 35024 318 9 Thomas Thomas NNP 35024 318 10 Jones Jones NNP 35024 318 11 , , , 35024 318 12 two two CD 35024 318 13 unusual unusual JJ 35024 318 14 pendulums pendulum NNS 35024 318 15 , , , 35024 318 16 which which WDT 35024 318 17 Wilkes Wilkes NNP 35024 318 18 described describe VBD 35024 318 19 as as IN 35024 318 20 " " `` 35024 318 21 those those DT 35024 318 22 considered consider VBD 35024 318 23 the the DT 35024 318 24 best good JJS 35024 318 25 form form NN 35024 318 26 by by IN 35024 318 27 Mr. Mr. NNP 35024 318 28 Baily Baily NNP 35024 318 29 for for IN 35024 318 30 traveling travel VBG 35024 318 31 pendulums pendulum NNS 35024 318 32 , , , 35024 318 33 " " '' 35024 318 34 and and CC 35024 318 35 which which WDT 35024 318 36 Baily Baily NNP 35024 318 37 , , , 35024 318 38 himself -PRON- PRP 35024 318 39 , , , 35024 318 40 described describe VBD 35024 318 41 as as IN 35024 318 42 " " `` 35024 318 43 precisely precisely RB 35024 318 44 the the DT 35024 318 45 same same JJ 35024 318 46 as as IN 35024 318 47 the the DT 35024 318 48 two two CD 35024 318 49 invariable invariable JJ 35024 318 50 pendulums pendulum NNS 35024 318 51 belonging belong VBG 35024 318 52 to to IN 35024 318 53 this this DT 35024 318 54 [ [ -LRB- 35024 318 55 Royal Royal NNP 35024 318 56 Astronomical Astronomical NNP 35024 318 57 ] ] -RRB- 35024 318 58 Society Society NNP 35024 318 59 , , , 35024 318 60 " " '' 35024 318 61 except except IN 35024 318 62 for for IN 35024 318 63 the the DT 35024 318 64 location location NN 35024 318 65 of of IN 35024 318 66 the the DT 35024 318 67 knife knife NN 35024 318 68 edges edge NNS 35024 318 69 . . . 35024 319 1 [ [ -LRB- 35024 319 2 Illustration illustration NN 35024 319 3 : : : 35024 319 4 Figure figure NN 35024 319 5 14.--VACUUM 14.--vacuum CD 35024 319 6 CHAMBER chamber NN 35024 319 7 FOR for IN 35024 319 8 USE use NN 35024 319 9 with with IN 35024 319 10 the the DT 35024 319 11 Kater Kater NNP 35024 319 12 pendulum pendulum NN 35024 319 13 . . . 35024 320 1 Of of IN 35024 320 2 a a DT 35024 320 3 number number NN 35024 320 4 of of IN 35024 320 5 extraneous extraneous JJ 35024 320 6 effects effect NNS 35024 320 7 which which WDT 35024 320 8 tend tend VBP 35024 320 9 to to TO 35024 320 10 disturb disturb VB 35024 320 11 the the DT 35024 320 12 accuracy accuracy NN 35024 320 13 of of IN 35024 320 14 pendulum pendulum NN 35024 320 15 observations observation NNS 35024 320 16 the the DT 35024 320 17 most most RBS 35024 320 18 important important JJ 35024 320 19 is be VBZ 35024 320 20 air air NN 35024 320 21 resistance resistance NN 35024 320 22 . . . 35024 321 1 Experiments experiment NNS 35024 321 2 reported report VBN 35024 321 3 by by IN 35024 321 4 the the DT 35024 321 5 Greenwich Greenwich NNP 35024 321 6 ( ( -LRB- 35024 321 7 England England NNP 35024 321 8 ) ) -RRB- 35024 321 9 observatory observatory NN 35024 321 10 in in IN 35024 321 11 1829 1829 CD 35024 321 12 led lead VBD 35024 321 13 to to IN 35024 321 14 the the DT 35024 321 15 development development NN 35024 321 16 of of IN 35024 321 17 a a DT 35024 321 18 vacuum vacuum NN 35024 321 19 chamber chamber NN 35024 321 20 within within IN 35024 321 21 which which WDT 35024 321 22 the the DT 35024 321 23 pendulum pendulum NN 35024 321 24 was be VBD 35024 321 25 swung swung JJ 35024 321 26 . . . 35024 321 27 ] ] -RRB- 35024 322 1 The the DT 35024 322 2 unusual unusual JJ 35024 322 3 feature feature NN 35024 322 4 of of IN 35024 322 5 these these DT 35024 322 6 pendulums pendulum NNS 35024 322 7 was be VBD 35024 322 8 in in IN 35024 322 9 their -PRON- PRP$ 35024 322 10 symmetry symmetry NN 35024 322 11 of of IN 35024 322 12 mass mass NN 35024 322 13 as as RB 35024 322 14 well well RB 35024 322 15 as as IN 35024 322 16 of of IN 35024 322 17 form form NN 35024 322 18 . . . 35024 323 1 They -PRON- PRP 35024 323 2 were be VBD 35024 323 3 made make VBN 35024 323 4 of of IN 35024 323 5 bars bar NNS 35024 323 6 , , , 35024 323 7 of of IN 35024 323 8 iron iron NN 35024 323 9 in in IN 35024 323 10 one one CD 35024 323 11 case case NN 35024 323 12 , , , 35024 323 13 and and CC 35024 323 14 of of IN 35024 323 15 brass brass NN 35024 323 16 in in IN 35024 323 17 the the DT 35024 323 18 other other JJ 35024 323 19 , , , 35024 323 20 and and CC 35024 323 21 each each DT 35024 323 22 had have VBD 35024 323 23 two two CD 35024 323 24 knife knife NN 35024 323 25 edges edge NNS 35024 323 26 at at IN 35024 323 27 opposite opposite JJ 35024 323 28 ends end NNS 35024 323 29 equidistant equidistant NN 35024 323 30 from from IN 35024 323 31 the the DT 35024 323 32 center center NN 35024 323 33 . . . 35024 324 1 Thus thus RB 35024 324 2 , , , 35024 324 3 although although IN 35024 324 4 they -PRON- PRP 35024 324 5 resembled resemble VBD 35024 324 6 reversible reversible JJ 35024 324 7 pendulums pendulum NNS 35024 324 8 , , , 35024 324 9 their -PRON- PRP$ 35024 324 10 symmetry symmetry NN 35024 324 11 of of IN 35024 324 12 mass mass NNP 35024 324 13 prevented prevent VBD 35024 324 14 their -PRON- PRP$ 35024 324 15 use use NN 35024 324 16 as as IN 35024 324 17 such such JJ 35024 324 18 , , , 35024 324 19 and and CC 35024 324 20 they -PRON- PRP 35024 324 21 were be VBD 35024 324 22 rather rather RB 35024 324 23 equivalent equivalent JJ 35024 324 24 to to IN 35024 324 25 four four CD 35024 324 26 separate separate JJ 35024 324 27 invariable invariable JJ 35024 324 28 pendulums pendulum NNS 35024 324 29 . . . 35024 325 1 [ [ -LRB- 35024 325 2 36 36 CD 35024 325 3 ] ] -RRB- 35024 325 4 Wilkes Wilkes NNP 35024 325 5 was be VBD 35024 325 6 taught teach VBN 35024 325 7 the the DT 35024 325 8 use use NN 35024 325 9 of of IN 35024 325 10 the the DT 35024 325 11 pendulum pendulum NN 35024 325 12 by by IN 35024 325 13 Baily Baily NNP 35024 325 14 , , , 35024 325 15 and and CC 35024 325 16 conducted conduct VBD 35024 325 17 experiments experiment NNS 35024 325 18 at at IN 35024 325 19 Baily Baily NNP 35024 325 20 's 's POS 35024 325 21 house house NN 35024 325 22 , , , 35024 325 23 where where WRB 35024 325 24 the the DT 35024 325 25 latter latter JJ 35024 325 26 had have VBD 35024 325 27 carried carry VBN 35024 325 28 out out RP 35024 325 29 the the DT 35024 325 30 work work NN 35024 325 31 reported report VBN 35024 325 32 on on IN 35024 325 33 in in IN 35024 325 34 1832 1832 CD 35024 325 35 . . . 35024 326 1 The the DT 35024 326 2 subsequent subsequent JJ 35024 326 3 experiments experiment NNS 35024 326 4 made make VBN 35024 326 5 on on IN 35024 326 6 the the DT 35024 326 7 U.S. U.S. NNP 35024 327 1 Exploring explore VBG 35024 327 2 Expedition Expedition NNP 35024 327 3 were be VBD 35024 327 4 under under IN 35024 327 5 the the DT 35024 327 6 charge charge NN 35024 327 7 of of IN 35024 327 8 Wilkes Wilkes NNP 35024 327 9 , , , 35024 327 10 himself -PRON- PRP 35024 327 11 , , , 35024 327 12 who who WP 35024 327 13 made make VBD 35024 327 14 observations observation NNS 35024 327 15 on on IN 35024 327 16 11 11 CD 35024 327 17 separate separate JJ 35024 327 18 occasions occasion NNS 35024 327 19 , , , 35024 327 20 beginning begin VBG 35024 327 21 with with IN 35024 327 22 that that DT 35024 327 23 in in IN 35024 327 24 London London NNP 35024 327 25 ( ( -LRB- 35024 327 26 1836 1836 CD 35024 327 27 ) ) -RRB- 35024 327 28 and and CC 35024 327 29 followed follow VBN 35024 327 30 by by IN 35024 327 31 others other NNS 35024 327 32 in in IN 35024 327 33 New New NNP 35024 327 34 York York NNP 35024 327 35 , , , 35024 327 36 Washington Washington NNP 35024 327 37 , , , 35024 327 38 D.C. D.C. NNP 35024 327 39 , , , 35024 327 40 Rio Rio NNP 35024 327 41 de de NNP 35024 327 42 Janeiro Janeiro NNP 35024 327 43 , , , 35024 327 44 Sydney Sydney NNP 35024 327 45 , , , 35024 327 46 Honolulu Honolulu NNP 35024 327 47 , , , 35024 327 48 " " `` 35024 327 49 Pendulum Pendulum NNP 35024 327 50 Peak Peak NNP 35024 327 51 " " '' 35024 327 52 ( ( -LRB- 35024 327 53 Mauna Mauna NNP 35024 327 54 Loa Loa NNP 35024 327 55 ) ) -RRB- 35024 327 56 , , , 35024 327 57 Mount Mount NNP 35024 327 58 Kanoha Kanoha NNP 35024 327 59 , , , 35024 327 60 Nesqually Nesqually NNP 35024 327 61 ( ( -LRB- 35024 327 62 Oregon Oregon NNP 35024 327 63 Territory Territory NNP 35024 327 64 ) ) -RRB- 35024 327 65 , , , 35024 327 66 and and CC 35024 327 67 , , , 35024 327 68 finally finally RB 35024 327 69 , , , 35024 327 70 two two CD 35024 327 71 more more JJR 35024 327 72 times time NNS 35024 327 73 in in IN 35024 327 74 Washington Washington NNP 35024 327 75 , , , 35024 327 76 D.C. D.C. NNP 35024 327 77 ( ( -LRB- 35024 327 78 1841 1841 CD 35024 327 79 and and CC 35024 327 80 1845 1845 CD 35024 327 81 ) ) -RRB- 35024 327 82 . . . 35024 328 1 Wilkes Wilkes NNP 35024 328 2 ' ' POS 35024 328 3 results result NNS 35024 328 4 were be VBD 35024 328 5 communicated communicate VBN 35024 328 6 to to IN 35024 328 7 Baily Baily NNP 35024 328 8 , , , 35024 328 9 who who WP 35024 328 10 appears appear VBZ 35024 328 11 to to TO 35024 328 12 have have VB 35024 328 13 found find VBN 35024 328 14 the the DT 35024 328 15 work work NN 35024 328 16 defective defective JJ 35024 328 17 because because IN 35024 328 18 of of IN 35024 328 19 insufficient insufficient JJ 35024 328 20 attention attention NN 35024 328 21 to to IN 35024 328 22 the the DT 35024 328 23 maintenance maintenance NN 35024 328 24 of of IN 35024 328 25 temperature temperature NN 35024 328 26 constancy constancy NN 35024 328 27 and and CC 35024 328 28 to to IN 35024 328 29 certain certain JJ 35024 328 30 alterations alteration NNS 35024 328 31 made make VBN 35024 328 32 to to IN 35024 328 33 the the DT 35024 328 34 pendulums pendulum NNS 35024 328 35 . . . 35024 329 1 [ [ -LRB- 35024 329 2 37 37 CD 35024 329 3 ] ] -RRB- 35024 329 4 The the DT 35024 329 5 results result NNS 35024 329 6 were be VBD 35024 329 7 also also RB 35024 329 8 to to TO 35024 329 9 have have VB 35024 329 10 been be VBN 35024 329 11 included include VBN 35024 329 12 in in IN 35024 329 13 the the DT 35024 329 14 publications publication NNS 35024 329 15 of of IN 35024 329 16 the the DT 35024 329 17 Expedition Expedition NNP 35024 329 18 , , , 35024 329 19 but but CC 35024 329 20 were be VBD 35024 329 21 part part NN 35024 329 22 of of IN 35024 329 23 the the DT 35024 329 24 unpublished unpublished JJ 35024 329 25 24th 24th JJ 35024 329 26 volume volume NN 35024 329 27 . . . 35024 330 1 Fortunately fortunately RB 35024 330 2 they -PRON- PRP 35024 330 3 still still RB 35024 330 4 exist exist VBP 35024 330 5 , , , 35024 330 6 in in IN 35024 330 7 what what WP 35024 330 8 appears appear VBZ 35024 330 9 to to TO 35024 330 10 be be VB 35024 330 11 a a DT 35024 330 12 printer printer NN 35024 330 13 's 's POS 35024 330 14 proof proof NN 35024 330 15 . . . 35024 331 1 [ [ -LRB- 35024 331 2 38 38 CD 35024 331 3 ] ] -RRB- 35024 331 4 The the DT 35024 331 5 Kater Kater NNP 35024 331 6 invariable invariable JJ 35024 331 7 pendulums pendulum NNS 35024 331 8 were be VBD 35024 331 9 used use VBN 35024 331 10 to to TO 35024 331 11 investigate investigate VB 35024 331 12 the the DT 35024 331 13 internal internal JJ 35024 331 14 constitution constitution NN 35024 331 15 of of IN 35024 331 16 the the DT 35024 331 17 earth earth NN 35024 331 18 . . . 35024 332 1 Airy Airy NNP 35024 332 2 sought seek VBD 35024 332 3 to to TO 35024 332 4 determine determine VB 35024 332 5 the the DT 35024 332 6 density density NN 35024 332 7 of of IN 35024 332 8 the the DT 35024 332 9 earth earth NN 35024 332 10 by by IN 35024 332 11 observing observe VBG 35024 332 12 the the DT 35024 332 13 times time NNS 35024 332 14 of of IN 35024 332 15 swing swing NN 35024 332 16 of of IN 35024 332 17 pendulums pendulum NNS 35024 332 18 at at IN 35024 332 19 the the DT 35024 332 20 top top JJ 35024 332 21 and and CC 35024 332 22 bottom bottom NN 35024 332 23 of of IN 35024 332 24 a a DT 35024 332 25 mine mine NN 35024 332 26 . . . 35024 333 1 The the DT 35024 333 2 first first JJ 35024 333 3 experiments experiment NNS 35024 333 4 were be VBD 35024 333 5 made make VBN 35024 333 6 in in IN 35024 333 7 1826 1826 CD 35024 333 8 at at IN 35024 333 9 the the DT 35024 333 10 Dolcoath Dolcoath NNP 35024 333 11 copper copper NN 35024 333 12 mine mine NN 35024 333 13 in in IN 35024 333 14 Cornwall Cornwall NNP 35024 333 15 , , , 35024 333 16 and and CC 35024 333 17 failed fail VBD 35024 333 18 when when WRB 35024 333 19 the the DT 35024 333 20 pendulum pendulum NN 35024 333 21 fell fall VBD 35024 333 22 to to IN 35024 333 23 the the DT 35024 333 24 bottom bottom NN 35024 333 25 . . . 35024 334 1 In in IN 35024 334 2 1854 1854 CD 35024 334 3 , , , 35024 334 4 the the DT 35024 334 5 experiments experiment NNS 35024 334 6 were be VBD 35024 334 7 again again RB 35024 334 8 undertaken undertake VBN 35024 334 9 in in IN 35024 334 10 the the DT 35024 334 11 Harton Harton NNP 35024 334 12 coalpit coalpit NN 35024 334 13 , , , 35024 334 14 near near IN 35024 334 15 Sunderland Sunderland NNP 35024 334 16 . . . 35024 335 1 [ [ -LRB- 35024 335 2 39 39 CD 35024 335 3 ] ] -RRB- 35024 335 4 Gravity Gravity NNP 35024 335 5 at at IN 35024 335 6 the the DT 35024 335 7 surface surface NN 35024 335 8 was be VBD 35024 335 9 greater great JJR 35024 335 10 than than IN 35024 335 11 below below RB 35024 335 12 , , , 35024 335 13 because because IN 35024 335 14 of of IN 35024 335 15 the the DT 35024 335 16 attraction attraction NN 35024 335 17 of of IN 35024 335 18 a a DT 35024 335 19 shell shell NN 35024 335 20 equal equal JJ 35024 335 21 to to IN 35024 335 22 the the DT 35024 335 23 depth depth NN 35024 335 24 of of IN 35024 335 25 the the DT 35024 335 26 pit pit NN 35024 335 27 . . . 35024 336 1 From from IN 35024 336 2 the the DT 35024 336 3 density density NN 35024 336 4 of of IN 35024 336 5 the the DT 35024 336 6 shell shell NN 35024 336 7 as as IN 35024 336 8 determined determine VBN 35024 336 9 from from IN 35024 336 10 specimens specimen NNS 35024 336 11 of of IN 35024 336 12 rock rock NN 35024 336 13 , , , 35024 336 14 Airy Airy NNP 35024 336 15 found find VBD 35024 336 16 the the DT 35024 336 17 density density NN 35024 336 18 of of IN 35024 336 19 the the DT 35024 336 20 earth earth NN 35024 336 21 to to TO 35024 336 22 be be VB 35024 336 23 6 6 CD 35024 336 24 - - SYM 35024 336 25 1/2 1/2 CD 35024 336 26 times time NNS 35024 336 27 greater great JJR 35024 336 28 than than IN 35024 336 29 that that DT 35024 336 30 of of IN 35024 336 31 water water NN 35024 336 32 . . . 35024 337 1 T. T. NNP 35024 337 2 C. C. NNP 35024 337 3 Mendenhall Mendenhall NNP 35024 337 4 , , , 35024 337 5 in in IN 35024 337 6 1880 1880 CD 35024 337 7 , , , 35024 337 8 used use VBD 35024 337 9 a a DT 35024 337 10 Kater Kater NNP 35024 337 11 convertible convertible JJ 35024 337 12 pendulum pendulum NN 35024 337 13 in in IN 35024 337 14 an an DT 35024 337 15 invariable invariable JJ 35024 337 16 manner manner NN 35024 337 17 to to TO 35024 337 18 compare compare VB 35024 337 19 values value NNS 35024 337 20 of of IN 35024 337 21 gravity gravity NN 35024 337 22 on on IN 35024 337 23 Fujiyama Fujiyama NNP 35024 337 24 and and CC 35024 337 25 at at IN 35024 337 26 Tokyo Tokyo NNP 35024 337 27 , , , 35024 337 28 Japan Japan NNP 35024 337 29 . . . 35024 338 1 [ [ -LRB- 35024 338 2 40 40 CD 35024 338 3 ] ] -RRB- 35024 338 4 He -PRON- PRP 35024 338 5 used use VBD 35024 338 6 a a DT 35024 338 7 " " `` 35024 338 8 simple simple JJ 35024 338 9 " " '' 35024 338 10 pendulum pendulum NN 35024 338 11 of of IN 35024 338 12 the the DT 35024 338 13 Borda Borda NNP 35024 338 14 type type NN 35024 338 15 to to TO 35024 338 16 determine determine VB 35024 338 17 the the DT 35024 338 18 absolute absolute JJ 35024 338 19 value value NN 35024 338 20 of of IN 35024 338 21 gravity gravity NN 35024 338 22 at at IN 35024 338 23 Tokyo Tokyo NNP 35024 338 24 . . . 35024 339 1 From from IN 35024 339 2 the the DT 35024 339 3 values value NNS 35024 339 4 of of IN 35024 339 5 gravity gravity NN 35024 339 6 on on IN 35024 339 7 the the DT 35024 339 8 mountain mountain NN 35024 339 9 and and CC 35024 339 10 at at IN 35024 339 11 Tokyo Tokyo NNP 35024 339 12 , , , 35024 339 13 and and CC 35024 339 14 an an DT 35024 339 15 estimate estimate NN 35024 339 16 of of IN 35024 339 17 the the DT 35024 339 18 volume volume NN 35024 339 19 of of IN 35024 339 20 the the DT 35024 339 21 mountain mountain NN 35024 339 22 , , , 35024 339 23 he -PRON- PRP 35024 339 24 estimated estimate VBD 35024 339 25 the the DT 35024 339 26 mean mean JJ 35024 339 27 density density NN 35024 339 28 of of IN 35024 339 29 the the DT 35024 339 30 earth earth NN 35024 339 31 as as IN 35024 339 32 5.77 5.77 CD 35024 339 33 times time NNS 35024 339 34 greater great JJR 35024 339 35 than than IN 35024 339 36 that that DT 35024 339 37 of of IN 35024 339 38 water water NN 35024 339 39 . . . 35024 340 1 In in IN 35024 340 2 1879 1879 CD 35024 340 3 , , , 35024 340 4 Maj Maj NNP 35024 340 5 . . NNP 35024 340 6 J. J. NNP 35024 340 7 Herschel Herschel NNP 35024 340 8 , , , 35024 340 9 R.E. R.E. NNP 35024 340 10 , , , 35024 340 11 stated state VBD 35024 340 12 : : : 35024 340 13 The the DT 35024 340 14 years year NNS 35024 340 15 from from IN 35024 340 16 1840 1840 CD 35024 340 17 to to IN 35024 340 18 1865 1865 CD 35024 340 19 are be VBP 35024 340 20 a a DT 35024 340 21 complete complete JJ 35024 340 22 blank blank NN 35024 340 23 , , , 35024 340 24 if if IN 35024 340 25 we -PRON- PRP 35024 340 26 except except IN 35024 340 27 Airy Airy NNP 35024 340 28 's 's POS 35024 340 29 relative relative JJ 35024 340 30 density density NN 35024 340 31 experiments experiment NNS 35024 340 32 in in IN 35024 340 33 1854 1854 CD 35024 340 34 . . . 35024 341 1 This this DT 35024 341 2 pause pause NN 35024 341 3 was be VBD 35024 341 4 broken break VBN 35024 341 5 simultaneously simultaneously RB 35024 341 6 in in IN 35024 341 7 three three CD 35024 341 8 different different JJ 35024 341 9 ways way NNS 35024 341 10 . . . 35024 342 1 Two two CD 35024 342 2 pendulums pendulum NNS 35024 342 3 of of IN 35024 342 4 the the DT 35024 342 5 Kater Kater NNP 35024 342 6 pattern pattern NN 35024 342 7 were be VBD 35024 342 8 sent send VBN 35024 342 9 to to IN 35024 342 10 India India NNP 35024 342 11 ; ; : 35024 342 12 two two CD 35024 342 13 after after IN 35024 342 14 Bessel Bessel NNP 35024 342 15 's 's POS 35024 342 16 design design NN 35024 342 17 were be VBD 35024 342 18 set set VBN 35024 342 19 to to TO 35024 342 20 work work VB 35024 342 21 in in IN 35024 342 22 Russia Russia NNP 35024 342 23 ; ; , 35024 342 24 and and CC 35024 342 25 at at IN 35024 342 26 Geneva Geneva NNP 35024 342 27 , , , 35024 342 28 Plantamour Plantamour NNP 35024 342 29 's 's POS 35024 342 30 zealous zealous JJ 35024 342 31 experiments experiment NNS 35024 342 32 with with IN 35024 342 33 a a DT 35024 342 34 pendulum pendulum NN 35024 342 35 of of IN 35024 342 36 the the DT 35024 342 37 same same JJ 35024 342 38 kind kind NN 35024 342 39 mark mark VBP 35024 342 40 the the DT 35024 342 41 commencement commencement NN 35024 342 42 of of IN 35024 342 43 an an DT 35024 342 44 era era NN 35024 342 45 of of IN 35024 342 46 renewed renew VBN 35024 342 47 activity activity NN 35024 342 48 on on IN 35024 342 49 the the DT 35024 342 50 European european JJ 35024 342 51 continent continent NN 35024 342 52 . . . 35024 343 1 [ [ -LRB- 35024 343 2 41 41 CD 35024 343 3 ] ] -RRB- 35024 343 4 With with IN 35024 343 5 the the DT 35024 343 6 statement statement NN 35024 343 7 that that WDT 35024 343 8 Kater Kater NNP 35024 343 9 invariable invariable JJ 35024 343 10 pendulums pendulum VBZ 35024 343 11 nos nos RB 35024 343 12 . . . 35024 344 1 4 4 CD 35024 344 2 and and CC 35024 344 3 6 6 CD 35024 344 4 ( ( -LRB- 35024 344 5 1821 1821 CD 35024 344 6 ) ) -RRB- 35024 344 7 were be VBD 35024 344 8 used use VBN 35024 344 9 in in IN 35024 344 10 India India NNP 35024 344 11 between between IN 35024 344 12 1865 1865 CD 35024 344 13 and and CC 35024 344 14 1873 1873 CD 35024 344 15 , , , 35024 344 16 we -PRON- PRP 35024 344 17 now now RB 35024 344 18 consider consider VBP 35024 344 19 the the DT 35024 344 20 other other JJ 35024 344 21 events event NNS 35024 344 22 mentioned mention VBN 35024 344 23 by by IN 35024 344 24 Herschel Herschel NNP 35024 344 25 . . . 35024 345 1 [ [ -LRB- 35024 345 2 Illustration illustration NN 35024 345 3 : : : 35024 345 4 Figure figure NN 35024 345 5 15.--ONE 15.--one CD 35024 345 6 OF of IN 35024 345 7 FRANCIS franci VBN 35024 345 8 BAILY BAILY NNP 35024 345 9 'S 's POS 35024 345 10 PENDULUMS pendulums NN 35024 345 11 ( ( -LRB- 35024 345 12 62 62 CD 35024 345 13 - - SYM 35024 345 14 1/2 1/2 CD 35024 345 15 inches inch NNS 35024 345 16 long long JJ 35024 345 17 ) ) -RRB- 35024 345 18 , , , 35024 345 19 shown show VBN 35024 345 20 on on IN 35024 345 21 the the DT 35024 345 22 left left NN 35024 345 23 , , , 35024 345 24 is be VBZ 35024 345 25 now now RB 35024 345 26 in in IN 35024 345 27 the the DT 35024 345 28 possession possession NN 35024 345 29 of of IN 35024 345 30 the the DT 35024 345 31 Science Science NNP 35024 345 32 Museum Museum NNP 35024 345 33 , , , 35024 345 34 London London NNP 35024 345 35 , , , 35024 345 36 and and CC 35024 345 37 , , , 35024 345 38 right right UH 35024 345 39 , , , 35024 345 40 two two CD 35024 345 41 views view NNS 35024 345 42 of of IN 35024 345 43 a a DT 35024 345 44 similar similar JJ 35024 345 45 pendulum pendulum NN 35024 345 46 ( ( -LRB- 35024 345 47 37 37 CD 35024 345 48 - - SYM 35024 345 49 5/8 5/8 CD 35024 345 50 inches inch NNS 35024 345 51 long long RB 35024 345 52 ) ) -RRB- 35024 345 53 made make VBN 35024 345 54 in in IN 35024 345 55 the the DT 35024 345 56 late late JJ 35024 345 57 19th 19th JJ 35024 345 58 century century NN 35024 345 59 by by IN 35024 345 60 Edward Edward NNP 35024 345 61 Kübel Kübel NNP 35024 345 62 , , , 35024 345 63 Washington Washington NNP 35024 345 64 , , , 35024 345 65 D.C. D.C. NNP 35024 345 66 , , , 35024 345 67 which which WDT 35024 345 68 is be VBZ 35024 345 69 no no UH 35024 345 70 . . . 35024 346 1 316,876 316,876 CD 35024 346 2 in in IN 35024 346 3 the the DT 35024 346 4 collection collection NN 35024 346 5 of of IN 35024 346 6 the the DT 35024 346 7 U.S. U.S. NNP 35024 346 8 National National NNP 35024 346 9 Museum Museum NNP 35024 346 10 . . . 35024 347 1 Among among IN 35024 347 2 a a DT 35024 347 3 large large JJ 35024 347 4 number number NN 35024 347 5 of of IN 35024 347 6 pendulums pendulum NNS 35024 347 7 tried try VBN 35024 347 8 by by IN 35024 347 9 Baily Baily NNP 35024 347 10 in in IN 35024 347 11 London London NNP 35024 347 12 ( ( -LRB- 35024 347 13 1827 1827 CD 35024 347 14 - - SYM 35024 347 15 1840 1840 CD 35024 347 16 ) ) -RRB- 35024 347 17 , , , 35024 347 18 was be VBD 35024 347 19 one one CD 35024 347 20 which which WDT 35024 347 21 resembles resemble VBZ 35024 347 22 the the DT 35024 347 23 reversible reversible JJ 35024 347 24 pendulum pendulum NN 35024 347 25 superficially superficially RB 35024 347 26 , , , 35024 347 27 but but CC 35024 347 28 which which WDT 35024 347 29 is be VBZ 35024 347 30 actually actually RB 35024 347 31 an an DT 35024 347 32 invariable invariable JJ 35024 347 33 pendulum pendulum NN 35024 347 34 having have VBG 35024 347 35 knife knife NN 35024 347 36 edges edge NNS 35024 347 37 at at IN 35024 347 38 both both DT 35024 347 39 ends end NNS 35024 347 40 . . . 35024 348 1 The the DT 35024 348 2 purpose purpose NN 35024 348 3 was be VBD 35024 348 4 apparently apparently RB 35024 348 5 economy economy NN 35024 348 6 , , , 35024 348 7 since since IN 35024 348 8 it -PRON- PRP 35024 348 9 is be VBZ 35024 348 10 equivalent equivalent JJ 35024 348 11 to to IN 35024 348 12 two two CD 35024 348 13 separate separate JJ 35024 348 14 invariable invariable JJ 35024 348 15 pendulums pendulum NNS 35024 348 16 . . . 35024 349 1 This this DT 35024 349 2 is be VBZ 35024 349 3 the the DT 35024 349 4 type type NN 35024 349 5 of of IN 35024 349 6 pendulum pendulum NN 35024 349 7 used use VBN 35024 349 8 on on IN 35024 349 9 the the DT 35024 349 10 U.S. U.S. NNP 35024 350 1 Exploring explore VBG 35024 350 2 Expedition Expedition NNP 35024 350 3 of of IN 35024 350 4 1838 1838 CD 35024 350 5 - - SYM 35024 350 6 1842 1842 CD 35024 350 7 . . . 35024 351 1 It -PRON- PRP 35024 351 2 is be VBZ 35024 351 3 not not RB 35024 351 4 known know VBN 35024 351 5 what what WP 35024 351 6 use use NN 35024 351 7 was be VBD 35024 351 8 made make VBN 35024 351 9 of of IN 35024 351 10 the the DT 35024 351 11 Kübel Kübel NNP 35024 351 12 pendulum pendulum NN 35024 351 13 . . . 35024 351 14 ] ] -RRB- 35024 352 1 Repsold Repsold NNP 35024 352 2 - - HYPH 35024 352 3 Bessel Bessel NNP 35024 352 4 Reversible Reversible NNP 35024 352 5 Pendulum Pendulum NNP 35024 352 6 As as IN 35024 352 7 we -PRON- PRP 35024 352 8 have have VBP 35024 352 9 noted note VBN 35024 352 10 , , , 35024 352 11 Bessel Bessel NNP 35024 352 12 made make VBD 35024 352 13 determinations determination NNS 35024 352 14 of of IN 35024 352 15 gravity gravity NN 35024 352 16 with with IN 35024 352 17 a a DT 35024 352 18 ball ball NN 35024 352 19 ( ( -LRB- 35024 352 20 " " `` 35024 352 21 simple simple JJ 35024 352 22 " " '' 35024 352 23 ) ) -RRB- 35024 352 24 pendulum pendulum NN 35024 352 25 in in IN 35024 352 26 the the DT 35024 352 27 period period NN 35024 352 28 1825 1825 CD 35024 352 29 - - SYM 35024 352 30 1827 1827 CD 35024 352 31 and and CC 35024 352 32 in in IN 35024 352 33 1835 1835 CD 35024 352 34 at at IN 35024 352 35 Königsberg Königsberg NNP 35024 352 36 and and CC 35024 352 37 Berlin Berlin NNP 35024 352 38 , , , 35024 352 39 respectively respectively RB 35024 352 40 . . . 35024 353 1 In in IN 35024 353 2 the the DT 35024 353 3 memoir memoir NN 35024 353 4 on on IN 35024 353 5 his -PRON- PRP$ 35024 353 6 observations observation NNS 35024 353 7 at at IN 35024 353 8 Königsberg Königsberg NNP 35024 353 9 , , , 35024 353 10 he -PRON- PRP 35024 353 11 set set VBD 35024 353 12 forth forth RP 35024 353 13 the the DT 35024 353 14 theory theory NN 35024 353 15 of of IN 35024 353 16 the the DT 35024 353 17 symmetrical symmetrical JJ 35024 353 18 compound compound NN 35024 353 19 pendulum pendulum NN 35024 353 20 with with IN 35024 353 21 interchangeable interchangeable JJ 35024 353 22 knife knife NN 35024 353 23 edges edge NNS 35024 353 24 . . . 35024 354 1 [ [ -LRB- 35024 354 2 42 42 CD 35024 354 3 ] ] -RRB- 35024 354 4 Bessel Bessel NNP 35024 354 5 demonstrated demonstrate VBD 35024 354 6 theoretically theoretically RB 35024 354 7 that that IN 35024 354 8 if if IN 35024 354 9 the the DT 35024 354 10 pendulum pendulum NN 35024 354 11 were be VBD 35024 354 12 symmetrical symmetrical JJ 35024 354 13 with with IN 35024 354 14 respect respect NN 35024 354 15 to to IN 35024 354 16 its -PRON- PRP$ 35024 354 17 geometrical geometrical JJ 35024 354 18 center center NN 35024 354 19 , , , 35024 354 20 if if IN 35024 354 21 the the DT 35024 354 22 times time NNS 35024 354 23 of of IN 35024 354 24 swing swing NN 35024 354 25 about about IN 35024 354 26 each each DT 35024 354 27 axis axi NNS 35024 354 28 were be VBD 35024 354 29 the the DT 35024 354 30 same same JJ 35024 354 31 , , , 35024 354 32 the the DT 35024 354 33 effects effect NNS 35024 354 34 of of IN 35024 354 35 buoyancy buoyancy NN 35024 354 36 and and CC 35024 354 37 of of IN 35024 354 38 air air NN 35024 354 39 set set VBN 35024 354 40 in in IN 35024 354 41 motion motion NN 35024 354 42 would would MD 35024 354 43 be be VB 35024 354 44 eliminated eliminate VBN 35024 354 45 . . . 35024 355 1 Laplace Laplace NNP 35024 355 2 had have VBD 35024 355 3 already already RB 35024 355 4 shown show VBN 35024 355 5 that that IN 35024 355 6 the the DT 35024 355 7 knife knife NN 35024 355 8 edge edge NN 35024 355 9 must must MD 35024 355 10 be be VB 35024 355 11 regarded regard VBN 35024 355 12 as as IN 35024 355 13 a a DT 35024 355 14 cylinder cylinder NN 35024 355 15 and and CC 35024 355 16 not not RB 35024 355 17 as as IN 35024 355 18 a a DT 35024 355 19 mere mere JJ 35024 355 20 line line NN 35024 355 21 of of IN 35024 355 22 support support NN 35024 355 23 . . . 35024 356 1 Bessel Bessel NNP 35024 356 2 then then RB 35024 356 3 showed show VBD 35024 356 4 that that IN 35024 356 5 if if IN 35024 356 6 the the DT 35024 356 7 knife knife NN 35024 356 8 edges edge NNS 35024 356 9 were be VBD 35024 356 10 equal equal JJ 35024 356 11 cylinders cylinder NNS 35024 356 12 , , , 35024 356 13 their -PRON- PRP$ 35024 356 14 effects effect NNS 35024 356 15 were be VBD 35024 356 16 eliminated eliminate VBN 35024 356 17 by by IN 35024 356 18 inverting invert VBG 35024 356 19 the the DT 35024 356 20 pendulum pendulum NN 35024 356 21 ; ; : 35024 356 22 and and CC 35024 356 23 if if IN 35024 356 24 the the DT 35024 356 25 knife knife NN 35024 356 26 edges edge NNS 35024 356 27 were be VBD 35024 356 28 not not RB 35024 356 29 equal equal JJ 35024 356 30 cylinders cylinder NNS 35024 356 31 , , , 35024 356 32 the the DT 35024 356 33 difference difference NN 35024 356 34 in in IN 35024 356 35 their -PRON- PRP$ 35024 356 36 effects effect NNS 35024 356 37 was be VBD 35024 356 38 canceled cancel VBN 35024 356 39 by by IN 35024 356 40 interchanging interchange VBG 35024 356 41 the the DT 35024 356 42 knives knife NNS 35024 356 43 and and CC 35024 356 44 again again RB 35024 356 45 determining determine VBG 35024 356 46 the the DT 35024 356 47 times time NNS 35024 356 48 of of IN 35024 356 49 swing swing NN 35024 356 50 in in IN 35024 356 51 the the DT 35024 356 52 so so RB 35024 356 53 - - HYPH 35024 356 54 called call VBN 35024 356 55 erect erect NN 35024 356 56 and and CC 35024 356 57 inverted invert VBN 35024 356 58 positions position NNS 35024 356 59 . . . 35024 357 1 Bessel Bessel NNP 35024 357 2 further further RB 35024 357 3 showed show VBD 35024 357 4 that that IN 35024 357 5 it -PRON- PRP 35024 357 6 is be VBZ 35024 357 7 unnecessary unnecessary JJ 35024 357 8 to to TO 35024 357 9 make make VB 35024 357 10 the the DT 35024 357 11 times time NNS 35024 357 12 of of IN 35024 357 13 swing swing NN 35024 357 14 exactly exactly RB 35024 357 15 equal equal JJ 35024 357 16 for for IN 35024 357 17 the the DT 35024 357 18 two two CD 35024 357 19 knife knife NN 35024 357 20 edges edge NNS 35024 357 21 . . . 35024 358 1 The the DT 35024 358 2 simplified simplify VBN 35024 358 3 discussion discussion NN 35024 358 4 for for IN 35024 358 5 infinitely infinitely RB 35024 358 6 small small JJ 35024 358 7 oscillations oscillation NNS 35024 358 8 in in IN 35024 358 9 a a DT 35024 358 10 vacuum vacuum NN 35024 358 11 is be VBZ 35024 358 12 as as IN 35024 358 13 follows follow VBZ 35024 358 14 : : : 35024 358 15 If if IN 35024 358 16 T_{1 T_{1 NNP 35024 358 17 } } -RRB- 35024 358 18 and and CC 35024 358 19 T_{2 T_{2 NNP 35024 358 20 } } -RRB- 35024 358 21 are be VBP 35024 358 22 the the DT 35024 358 23 times time NNS 35024 358 24 of of IN 35024 358 25 swing swing NN 35024 358 26 about about IN 35024 358 27 the the DT 35024 358 28 knife knife NN 35024 358 29 edges edge NNS 35024 358 30 , , , 35024 358 31 and and CC 35024 358 32 if if IN 35024 358 33 h_{1 h_{1 FW 35024 358 34 } } -RRB- 35024 358 35 and and CC 35024 358 36 h_{2 h_{2 NN 35024 358 37 } } -RRB- 35024 358 38 are be VBP 35024 358 39 distances distance NNS 35024 358 40 of of IN 35024 358 41 the the DT 35024 358 42 knife knife NN 35024 358 43 edges edge NNS 35024 358 44 from from IN 35024 358 45 the the DT 35024 358 46 center center NN 35024 358 47 of of IN 35024 358 48 gravity gravity NN 35024 358 49 , , , 35024 358 50 and and CC 35024 358 51 if if IN 35024 358 52 k k NN 35024 358 53 is be VBZ 35024 358 54 the the DT 35024 358 55 radius radius NN 35024 358 56 of of IN 35024 358 57 gyration gyration NN 35024 358 58 about about IN 35024 358 59 an an DT 35024 358 60 axis axis NN 35024 358 61 through through IN 35024 358 62 the the DT 35024 358 63 center center NN 35024 358 64 of of IN 35024 358 65 gravity gravity NN 35024 358 66 , , , 35024 358 67 then then RB 35024 358 68 from from IN 35024 358 69 the the DT 35024 358 70 equation equation NN 35024 358 71 of of IN 35024 358 72 motion motion NN 35024 358 73 of of IN 35024 358 74 a a DT 35024 358 75 rigid rigid JJ 35024 358 76 body body NN 35024 358 77 oscillating oscillate VBG 35024 358 78 about about IN 35024 358 79 a a DT 35024 358 80 fixed fix VBN 35024 358 81 axis axi NNS 35024 358 82 under under IN 35024 358 83 gravity gravity NN 35024 358 84 ( ( -LRB- 35024 358 85 T_{1})^{2 T_{1})^{2 NFP 35024 358 86 } } -RRB- 35024 358 87 = = NFP 35024 358 88 [ [ -LRB- 35024 358 89 pi]^{2}(k^{2 pi]^{2}(k^{2 NNP 35024 358 90 } } -RRB- 35024 358 91 + + NFP 35024 358 92 ( ( -LRB- 35024 358 93 h_{1})^{2})/gh_{1 h_{1})^{2})/gh_{1 NNP 35024 358 94 } } -RRB- 35024 358 95 , , , 35024 358 96 ( ( -LRB- 35024 358 97 T_{2})^{2 T_{2})^{2 NFP 35024 358 98 } } -RRB- 35024 358 99 = = NFP 35024 358 100 [ [ -LRB- 35024 358 101 pi]^{2}(k^{2 pi]^{2}(k^{2 NNP 35024 358 102 } } -RRB- 35024 358 103 + + NFP 35024 358 104 ( ( -LRB- 35024 358 105 h_{2})^{2})/gh_{2 h_{2})^{2})/gh_{2 NNP 35024 358 106 } } -RRB- 35024 358 107 . . . 35024 359 1 Then then RB 35024 359 2 ( ( -LRB- 35024 359 3 h_{1}(T_{1})^{2 h_{1}(t_{1})^{2 NN 35024 359 4 } } -RRB- 35024 359 5 - - : 35024 359 6 h_{2}(T_{2})^{2})/(h_{1 h_{2}(t_{2})^{2})/(h_{1 NN 35024 359 7 } } -RRB- 35024 359 8 - - HYPH 35024 359 9 h_{2 h_{2 NN 35024 359 10 } } -RRB- 35024 359 11 ) ) -RRB- 35024 359 12 = = NFP 35024 359 13 ( ( -LRB- 35024 359 14 [ [ -LRB- 35024 359 15 pi]^{2}/g)(h_{1 pi]^{2}/g)(h_{1 NN 35024 359 16 } } -RRB- 35024 359 17 + + CC 35024 359 18 h_{2 h_{2 NN 35024 359 19 } } -RRB- 35024 359 20 ) ) -RRB- 35024 359 21 = = NFP 35024 359 22 [ [ -LRB- 35024 359 23 tau]^{2 tau]^{2 NFP 35024 359 24 } } -RRB- 35024 359 25 . . . 35024 360 1 [ [ -LRB- 35024 360 2 tau tau NNP 35024 360 3 ] ] -RRB- 35024 360 4 is be VBZ 35024 360 5 then then RB 35024 360 6 the the DT 35024 360 7 time time NN 35024 360 8 of of IN 35024 360 9 swing swing NN 35024 360 10 of of IN 35024 360 11 a a DT 35024 360 12 simple simple JJ 35024 360 13 pendulum pendulum NN 35024 360 14 of of IN 35024 360 15 length length NN 35024 360 16 h_{1 h_{1 NNS 35024 360 17 } } -RRB- 35024 360 18 + + CC 35024 360 19 h_{2 h_{2 NN 35024 360 20 } } -RRB- 35024 360 21 . . . 35024 361 1 If if IN 35024 361 2 the the DT 35024 361 3 difference difference NN 35024 361 4 T_{1 T_{1 NNP 35024 361 5 } } -RRB- 35024 361 6 - - : 35024 361 7 T_{2 T_{2 NNP 35024 361 8 } } -RRB- 35024 361 9 is be VBZ 35024 361 10 sufficiently sufficiently RB 35024 361 11 small small JJ 35024 361 12 , , , 35024 361 13 [ [ -LRB- 35024 361 14 tau tau NNP 35024 361 15 ] ] -RRB- 35024 361 16 = = FW 35024 361 17 ( ( -LRB- 35024 361 18 h_{1}T_{1 h_{1}T_{1 NNP 35024 361 19 } } -RRB- 35024 361 20 - - HYPH 35024 361 21 h_{2}T_{2})/(h_{1 h_{2}t_{2})/(h_{1 FW 35024 361 22 } } -RRB- 35024 361 23 - - HYPH 35024 361 24 h_{2 h_{2 NN 35024 361 25 } } -RRB- 35024 361 26 ) ) -RRB- 35024 361 27 . . . 35024 362 1 Prior prior RB 35024 362 2 to to IN 35024 362 3 its -PRON- PRP$ 35024 362 4 publication publication NN 35024 362 5 by by IN 35024 362 6 Bessel Bessel NNP 35024 362 7 in in IN 35024 362 8 1828 1828 CD 35024 362 9 , , , 35024 362 10 the the DT 35024 362 11 formula formula NN 35024 362 12 for for IN 35024 362 13 the the DT 35024 362 14 time time NN 35024 362 15 of of IN 35024 362 16 swing swing NN 35024 362 17 of of IN 35024 362 18 a a DT 35024 362 19 simple simple JJ 35024 362 20 pendulum pendulum NN 35024 362 21 of of IN 35024 362 22 length length NN 35024 362 23 h_{1 h_{1 NNS 35024 362 24 } } -RRB- 35024 362 25 + + CC 35024 362 26 h_{2 h_{2 NN 35024 362 27 } } -RRB- 35024 362 28 in in IN 35024 362 29 terms term NNS 35024 362 30 of of IN 35024 362 31 T_{1 T_{1 NNP 35024 362 32 } } -RRB- 35024 362 33 , , , 35024 362 34 T_{2 T_{2 NNP 35024 362 35 } } -RRB- 35024 362 36 had have VBD 35024 362 37 been be VBN 35024 362 38 given give VBN 35024 362 39 by by IN 35024 362 40 C. C. NNP 35024 362 41 F. F. NNP 35024 362 42 Gauss Gauss NNP 35024 362 43 in in IN 35024 362 44 a a DT 35024 362 45 letter letter NN 35024 362 46 to to IN 35024 362 47 H. H. NNP 35024 362 48 C. C. NNP 35024 362 49 Schumacher Schumacher NNP 35024 362 50 dated date VBD 35024 362 51 November November NNP 35024 362 52 28 28 CD 35024 362 53 , , , 35024 362 54 1824 1824 CD 35024 362 55 . . . 35024 363 1 [ [ -LRB- 35024 363 2 43 43 CD 35024 363 3 ] ] -RRB- 35024 363 4 The the DT 35024 363 5 symmetrical symmetrical JJ 35024 363 6 compound compound NN 35024 363 7 pendulum pendulum NN 35024 363 8 with with IN 35024 363 9 interchangeable interchangeable JJ 35024 363 10 knives knife NNS 35024 363 11 , , , 35024 363 12 for for IN 35024 363 13 which which WDT 35024 363 14 Bessel Bessel NNP 35024 363 15 gave give VBD 35024 363 16 a a DT 35024 363 17 posthumously posthumously RB 35024 363 18 published publish VBN 35024 363 19 design design NN 35024 363 20 and and CC 35024 363 21 specifications,[44 specifications,[44 CD 35024 363 22 ] ] -RRB- 35024 363 23 has have VBZ 35024 363 24 been be VBN 35024 363 25 called call VBN 35024 363 26 a a DT 35024 363 27 reversible reversible JJ 35024 363 28 pendulum pendulum NN 35024 363 29 ; ; : 35024 363 30 it -PRON- PRP 35024 363 31 may may MD 35024 363 32 thereby thereby RB 35024 363 33 be be VB 35024 363 34 distinguished distinguish VBN 35024 363 35 from from IN 35024 363 36 Kater Kater NNP 35024 363 37 's 's POS 35024 363 38 unsymmetrical unsymmetrical JJ 35024 363 39 convertible convertible JJ 35024 363 40 pendulum pendulum NN 35024 363 41 . . . 35024 364 1 In in IN 35024 364 2 1861 1861 CD 35024 364 3 , , , 35024 364 4 the the DT 35024 364 5 Swiss Swiss NNP 35024 364 6 Geodetic Geodetic NNP 35024 364 7 Commission Commission NNP 35024 364 8 was be VBD 35024 364 9 formed form VBN 35024 364 10 , , , 35024 364 11 and and CC 35024 364 12 in in IN 35024 364 13 one one CD 35024 364 14 of of IN 35024 364 15 its -PRON- PRP$ 35024 364 16 first first JJ 35024 364 17 sessions session NNS 35024 364 18 in in IN 35024 364 19 1862 1862 CD 35024 364 20 it -PRON- PRP 35024 364 21 was be VBD 35024 364 22 decided decide VBN 35024 364 23 to to TO 35024 364 24 add add VB 35024 364 25 determinations determination NNS 35024 364 26 of of IN 35024 364 27 gravity gravity NN 35024 364 28 to to IN 35024 364 29 the the DT 35024 364 30 operations operation NNS 35024 364 31 connected connect VBN 35024 364 32 with with IN 35024 364 33 the the DT 35024 364 34 measurement measurement NN 35024 364 35 -- -- : 35024 364 36 at at IN 35024 364 37 different different JJ 35024 364 38 points point NNS 35024 364 39 in in IN 35024 364 40 Switzerland Switzerland NNP 35024 364 41 -- -- : 35024 364 42 of of IN 35024 364 43 the the DT 35024 364 44 arc arc NN 35024 364 45 of of IN 35024 364 46 the the DT 35024 364 47 meridian meridian NN 35024 364 48 traversing traverse VBG 35024 364 49 central central JJ 35024 364 50 Europe Europe NNP 35024 364 51 . . . 35024 365 1 [ [ -LRB- 35024 365 2 45 45 CD 35024 365 3 ] ] -RRB- 35024 365 4 It -PRON- PRP 35024 365 5 was be VBD 35024 365 6 decided decide VBN 35024 365 7 further further RB 35024 365 8 to to TO 35024 365 9 employ employ VB 35024 365 10 a a DT 35024 365 11 reversible reversible JJ 35024 365 12 pendulum pendulum NN 35024 365 13 of of IN 35024 365 14 Bessel Bessel NNP 35024 365 15 's 's POS 35024 365 16 design design NN 35024 365 17 and and CC 35024 365 18 to to TO 35024 365 19 have have VB 35024 365 20 it -PRON- PRP 35024 365 21 constructed construct VBN 35024 365 22 by by IN 35024 365 23 the the DT 35024 365 24 firm firm NN 35024 365 25 of of IN 35024 365 26 A. A. NNP 35024 365 27 Repsold Repsold NNP 35024 365 28 and and CC 35024 365 29 Sons Sons NNPS 35024 365 30 , , , 35024 365 31 Hamburg Hamburg NNP 35024 365 32 . . . 35024 366 1 It -PRON- PRP 35024 366 2 was be VBD 35024 366 3 also also RB 35024 366 4 decided decide VBN 35024 366 5 to to TO 35024 366 6 make make VB 35024 366 7 the the DT 35024 366 8 first first JJ 35024 366 9 observations observation NNS 35024 366 10 with with IN 35024 366 11 the the DT 35024 366 12 pendulum pendulum NN 35024 366 13 in in IN 35024 366 14 Geneva Geneva NNP 35024 366 15 ; ; : 35024 366 16 accordingly accordingly RB 35024 366 17 , , , 35024 366 18 the the DT 35024 366 19 Repsold Repsold NNP 35024 366 20 - - HYPH 35024 366 21 Bessel Bessel NNP 35024 366 22 pendulum pendulum NN 35024 366 23 ( ( -LRB- 35024 366 24 fig fig NN 35024 366 25 . . . 35024 367 1 16 16 CD 35024 367 2 ) ) -RRB- 35024 367 3 was be VBD 35024 367 4 sent send VBN 35024 367 5 to to IN 35024 367 6 Prof. Prof. NNP 35024 367 7 E. E. NNP 35024 367 8 Plantamour Plantamour NNP 35024 367 9 , , , 35024 367 10 director director NN 35024 367 11 of of IN 35024 367 12 the the DT 35024 367 13 observatory observatory NN 35024 367 14 at at IN 35024 367 15 Geneva Geneva NNP 35024 367 16 , , , 35024 367 17 in in IN 35024 367 18 the the DT 35024 367 19 autumn autumn NN 35024 367 20 of of IN 35024 367 21 1864 1864 CD 35024 367 22 . . . 35024 368 1 [ [ -LRB- 35024 368 2 46 46 CD 35024 368 3 ] ] -RRB- 35024 368 4 The the DT 35024 368 5 Swiss swiss JJ 35024 368 6 reversible reversible NN 35024 368 7 pendulum pendulum NN 35024 368 8 was be VBD 35024 368 9 about about RB 35024 368 10 560 560 CD 35024 368 11 mm mm NNS 35024 368 12 . . . 35024 369 1 in in IN 35024 369 2 length length NN 35024 369 3 ( ( -LRB- 35024 369 4 distance distance NN 35024 369 5 between between IN 35024 369 6 the the DT 35024 369 7 knife knife NN 35024 369 8 edges edge NNS 35024 369 9 ) ) -RRB- 35024 369 10 and and CC 35024 369 11 the the DT 35024 369 12 time time NN 35024 369 13 of of IN 35024 369 14 swing swing NN 35024 369 15 was be VBD 35024 369 16 approximately approximately RB 35024 369 17 3/4 3/4 CD 35024 369 18 second second JJ 35024 369 19 . . . 35024 370 1 At at IN 35024 370 2 the the DT 35024 370 3 extremities extremity NNS 35024 370 4 of of IN 35024 370 5 the the DT 35024 370 6 stem stem NN 35024 370 7 of of IN 35024 370 8 the the DT 35024 370 9 pendulum pendulum NN 35024 370 10 were be VBD 35024 370 11 movable movable JJ 35024 370 12 cylindrical cylindrical JJ 35024 370 13 disks disk NNS 35024 370 14 , , , 35024 370 15 one one CD 35024 370 16 of of IN 35024 370 17 which which WDT 35024 370 18 was be VBD 35024 370 19 solid solid JJ 35024 370 20 and and CC 35024 370 21 heavy heavy JJ 35024 370 22 , , , 35024 370 23 the the DT 35024 370 24 other other JJ 35024 370 25 hollow hollow JJ 35024 370 26 and and CC 35024 370 27 light light JJ 35024 370 28 . . . 35024 371 1 It -PRON- PRP 35024 371 2 was be VBD 35024 371 3 intended intend VBN 35024 371 4 by by IN 35024 371 5 the the DT 35024 371 6 mechanicians mechanician NNS 35024 371 7 that that IN 35024 371 8 equality equality NN 35024 371 9 of of IN 35024 371 10 times time NNS 35024 371 11 of of IN 35024 371 12 oscillation oscillation NN 35024 371 13 about about IN 35024 371 14 the the DT 35024 371 15 knife knife NN 35024 371 16 edges edge NNS 35024 371 17 would would MD 35024 371 18 be be VB 35024 371 19 achieved achieve VBN 35024 371 20 by by IN 35024 371 21 adjusting adjust VBG 35024 371 22 the the DT 35024 371 23 position position NN 35024 371 24 of of IN 35024 371 25 a a DT 35024 371 26 movable movable JJ 35024 371 27 disk disk NN 35024 371 28 . . . 35024 372 1 The the DT 35024 372 2 pendulum pendulum NN 35024 372 3 was be VBD 35024 372 4 hung hang VBN 35024 372 5 by by IN 35024 372 6 a a DT 35024 372 7 knife knife NN 35024 372 8 edge edge NN 35024 372 9 on on IN 35024 372 10 a a DT 35024 372 11 plate plate NN 35024 372 12 supported support VBN 35024 372 13 by by IN 35024 372 14 a a DT 35024 372 15 tripod tripod NN 35024 372 16 and and CC 35024 372 17 having have VBG 35024 372 18 an an DT 35024 372 19 attachment attachment NN 35024 372 20 from from IN 35024 372 21 which which WDT 35024 372 22 a a DT 35024 372 23 measuring measuring NN 35024 372 24 rod rod NN 35024 372 25 could could MD 35024 372 26 be be VB 35024 372 27 suspended suspend VBN 35024 372 28 so so IN 35024 372 29 that that IN 35024 372 30 the the DT 35024 372 31 distance distance NN 35024 372 32 between between IN 35024 372 33 the the DT 35024 372 34 knife knife NN 35024 372 35 edges edge NNS 35024 372 36 could could MD 35024 372 37 be be VB 35024 372 38 measured measure VBN 35024 372 39 by by IN 35024 372 40 a a DT 35024 372 41 comparator comparator NN 35024 372 42 . . . 35024 373 1 Plantamour plantamour NN 35024 373 2 found find VBD 35024 373 3 it -PRON- PRP 35024 373 4 impracticable impracticable JJ 35024 373 5 to to TO 35024 373 6 adjust adjust VB 35024 373 7 a a DT 35024 373 8 disk disk NN 35024 373 9 until until IN 35024 373 10 the the DT 35024 373 11 times time NNS 35024 373 12 of of IN 35024 373 13 swing swing NN 35024 373 14 about about IN 35024 373 15 each each DT 35024 373 16 knife knife NN 35024 373 17 edge edge NN 35024 373 18 were be VBD 35024 373 19 equal equal JJ 35024 373 20 . . . 35024 374 1 His -PRON- PRP$ 35024 374 2 colleague colleague NN 35024 374 3 , , , 35024 374 4 Charles Charles NNP 35024 374 5 Cellérier,[47 Cellérier,[47 NNP 35024 374 6 ] ] -RRB- 35024 374 7 then then RB 35024 374 8 showed show VBD 35024 374 9 that that IN 35024 374 10 if if IN 35024 374 11 ( ( -LRB- 35024 374 12 T_{1 T_{1 NNP 35024 374 13 } } -RRB- 35024 374 14 - - : 35024 374 15 T_{2})/T_{1 T_{2})/T_{1 NNS 35024 374 16 } } -RRB- 35024 374 17 is be VBZ 35024 374 18 sufficiently sufficiently RB 35024 374 19 small small JJ 35024 374 20 so so IN 35024 374 21 that that IN 35024 374 22 one one PRP 35024 374 23 can can MD 35024 374 24 neglect neglect VB 35024 374 25 its -PRON- PRP$ 35024 374 26 square square NN 35024 374 27 , , , 35024 374 28 one one PRP 35024 374 29 can can MD 35024 374 30 determine determine VB 35024 374 31 the the DT 35024 374 32 length length NN 35024 374 33 of of IN 35024 374 34 the the DT 35024 374 35 seconds second NNS 35024 374 36 pendulum pendulum NN 35024 374 37 from from IN 35024 374 38 the the DT 35024 374 39 times time NNS 35024 374 40 of of IN 35024 374 41 swing swing NN 35024 374 42 about about IN 35024 374 43 the the DT 35024 374 44 knife knife NN 35024 374 45 edges edge VBZ 35024 374 46 by by IN 35024 374 47 a a DT 35024 374 48 theory theory NN 35024 374 49 which which WDT 35024 374 50 uses use VBZ 35024 374 51 the the DT 35024 374 52 distances distance NNS 35024 374 53 of of IN 35024 374 54 the the DT 35024 374 55 center center NN 35024 374 56 of of IN 35024 374 57 gravity gravity NN 35024 374 58 from from IN 35024 374 59 the the DT 35024 374 60 respective respective JJ 35024 374 61 knife knife NN 35024 374 62 edges edge NNS 35024 374 63 . . . 35024 375 1 Thus thus RB 35024 375 2 , , , 35024 375 3 a a DT 35024 375 4 role role NN 35024 375 5 for for IN 35024 375 6 the the DT 35024 375 7 position position NN 35024 375 8 of of IN 35024 375 9 the the DT 35024 375 10 center center NN 35024 375 11 of of IN 35024 375 12 gravity gravity NN 35024 375 13 in in IN 35024 375 14 the the DT 35024 375 15 theory theory NN 35024 375 16 of of IN 35024 375 17 the the DT 35024 375 18 reversible reversible JJ 35024 375 19 pendulum pendulum NN 35024 375 20 , , , 35024 375 21 which which WDT 35024 375 22 had have VBD 35024 375 23 been be VBN 35024 375 24 set set VBN 35024 375 25 forth forth RP 35024 375 26 earlier early RBR 35024 375 27 by by IN 35024 375 28 Bessel Bessel NNP 35024 375 29 , , , 35024 375 30 was be VBD 35024 375 31 discovered discover VBN 35024 375 32 independently independently RB 35024 375 33 by by IN 35024 375 34 Cellérier Cellérier NNP 35024 375 35 for for IN 35024 375 36 the the DT 35024 375 37 Swiss swiss JJ 35024 375 38 observers observer NNS 35024 375 39 of of IN 35024 375 40 pendulums pendulum NNS 35024 375 41 . . . 35024 376 1 In in IN 35024 376 2 1866 1866 CD 35024 376 3 , , , 35024 376 4 Plantamour Plantamour NNP 35024 376 5 published publish VBD 35024 376 6 an an DT 35024 376 7 extensive extensive JJ 35024 376 8 memoir memoir NN 35024 376 9 " " '' 35024 376 10 Expériences expérience NNS 35024 376 11 faites faite VBZ 35024 376 12 à à DT 35024 376 13 Genève Genève NNP 35024 376 14 avec avec FW 35024 376 15 le le FW 35024 376 16 pendule pendule NNP 35024 376 17 à à NNP 35024 376 18 réversion réversion NN 35024 376 19 . . . 35024 376 20 " " '' 35024 377 1 Another another DT 35024 377 2 memoir memoir NN 35024 377 3 , , , 35024 377 4 published publish VBN 35024 377 5 in in IN 35024 377 6 1872 1872 CD 35024 377 7 , , , 35024 377 8 presented present VBD 35024 377 9 further further JJ 35024 377 10 results result NNS 35024 377 11 of of IN 35024 377 12 determinations determination NNS 35024 377 13 of of IN 35024 377 14 gravity gravity NN 35024 377 15 in in IN 35024 377 16 Switzerland Switzerland NNP 35024 377 17 . . . 35024 378 1 Plantamour Plantamour NNP 35024 378 2 was be VBD 35024 378 3 the the DT 35024 378 4 first first JJ 35024 378 5 scientist scientist NN 35024 378 6 in in IN 35024 378 7 western western JJ 35024 378 8 Europe Europe NNP 35024 378 9 to to TO 35024 378 10 use use VB 35024 378 11 a a DT 35024 378 12 Repsold Repsold NNP 35024 378 13 - - HYPH 35024 378 14 Bessel Bessel NNP 35024 378 15 reversible reversible NN 35024 378 16 pendulum pendulum NN 35024 378 17 and and CC 35024 378 18 to to TO 35024 378 19 work work VB 35024 378 20 out out RP 35024 378 21 methods method NNS 35024 378 22 for for IN 35024 378 23 its -PRON- PRP$ 35024 378 24 employment employment NN 35024 378 25 . . . 35024 379 1 The the DT 35024 379 2 Russian Russian NNP 35024 379 3 Imperial Imperial NNP 35024 379 4 Academy Academy NNP 35024 379 5 of of IN 35024 379 6 Sciences Sciences NNPS 35024 379 7 acquired acquire VBD 35024 379 8 two two CD 35024 379 9 Repsold Repsold NNP 35024 379 10 - - HYPH 35024 379 11 Bessel Bessel NNP 35024 379 12 pendulums pendulum NNS 35024 379 13 , , , 35024 379 14 and and CC 35024 379 15 observations observation NNS 35024 379 16 with with IN 35024 379 17 them -PRON- PRP 35024 379 18 were be VBD 35024 379 19 begun begin VBN 35024 379 20 in in IN 35024 379 21 1864 1864 CD 35024 379 22 by by IN 35024 379 23 Prof. Prof. NNP 35024 379 24 Sawitsch Sawitsch NNP 35024 379 25 , , , 35024 379 26 University University NNP 35024 379 27 of of IN 35024 379 28 St. St. NNP 35024 379 29 Petersburg Petersburg NNP 35024 379 30 , , , 35024 379 31 and and CC 35024 379 32 others other NNS 35024 379 33 . . . 35024 380 1 [ [ -LRB- 35024 380 2 48 48 CD 35024 380 3 ] ] -RRB- 35024 380 4 In in IN 35024 380 5 1869 1869 CD 35024 380 6 , , , 35024 380 7 the the DT 35024 380 8 Russian russian JJ 35024 380 9 pendulums pendulum NNS 35024 380 10 were be VBD 35024 380 11 loaned loan VBN 35024 380 12 to to IN 35024 380 13 the the DT 35024 380 14 India India NNP 35024 380 15 Survey Survey NNP 35024 380 16 in in IN 35024 380 17 order order NN 35024 380 18 to to TO 35024 380 19 enable enable VB 35024 380 20 members member NNS 35024 380 21 of of IN 35024 380 22 the the DT 35024 380 23 Survey Survey NNP 35024 380 24 to to TO 35024 380 25 supplement supplement VB 35024 380 26 observations observation NNS 35024 380 27 with with IN 35024 380 28 the the DT 35024 380 29 Kater Kater NNP 35024 380 30 invariable invariable JJ 35024 380 31 pendulums pendulum VBZ 35024 380 32 nos nos RB 35024 380 33 . . . 35024 381 1 4 4 CD 35024 381 2 and and CC 35024 381 3 6 6 CD 35024 381 4 ( ( -LRB- 35024 381 5 1821 1821 CD 35024 381 6 ) ) -RRB- 35024 381 7 . . . 35024 382 1 During during IN 35024 382 2 the the DT 35024 382 3 transport transport NN 35024 382 4 of of IN 35024 382 5 the the DT 35024 382 6 Russian russian JJ 35024 382 7 apparatus apparatus NN 35024 382 8 to to IN 35024 382 9 India India NNP 35024 382 10 , , , 35024 382 11 the the DT 35024 382 12 knives knife NNS 35024 382 13 became become VBD 35024 382 14 rusted rusted JJ 35024 382 15 and and CC 35024 382 16 the the DT 35024 382 17 apparatus apparatus NN 35024 382 18 had have VBD 35024 382 19 to to TO 35024 382 20 be be VB 35024 382 21 reconditioned recondition VBN 35024 382 22 . . . 35024 383 1 Capt capt NN 35024 383 2 . . . 35024 384 1 Heaviside heaviside NN 35024 384 2 of of IN 35024 384 3 the the DT 35024 384 4 India India NNP 35024 384 5 Survey Survey NNP 35024 384 6 observed observe VBD 35024 384 7 with with IN 35024 384 8 both both DT 35024 384 9 pendulums pendulum NNS 35024 384 10 at at IN 35024 384 11 Kew Kew NNP 35024 384 12 Observatory Observatory NNP 35024 384 13 , , , 35024 384 14 near near IN 35024 384 15 London London NNP 35024 384 16 , , , 35024 384 17 in in IN 35024 384 18 the the DT 35024 384 19 spring spring NN 35024 384 20 of of IN 35024 384 21 1874 1874 CD 35024 384 22 , , , 35024 384 23 after after IN 35024 384 24 which which WDT 35024 384 25 the the DT 35024 384 26 Russian russian JJ 35024 384 27 pendulums pendulum NNS 35024 384 28 were be VBD 35024 384 29 sent send VBN 35024 384 30 to to IN 35024 384 31 Pulkowa Pulkowa NNP 35024 384 32 ( ( -LRB- 35024 384 33 Russia Russia NNP 35024 384 34 ) ) -RRB- 35024 384 35 and and CC 35024 384 36 were be VBD 35024 384 37 used use VBN 35024 384 38 for for IN 35024 384 39 observations observation NNS 35024 384 40 there there RB 35024 384 41 and and CC 35024 384 42 in in IN 35024 384 43 the the DT 35024 384 44 Caucasus Caucasus NNP 35024 384 45 . . . 35024 385 1 The the DT 35024 385 2 introduction introduction NN 35024 385 3 of of IN 35024 385 4 the the DT 35024 385 5 Repsold Repsold NNP 35024 385 6 - - HYPH 35024 385 7 Bessel Bessel NNP 35024 385 8 reversible reversible NN 35024 385 9 pendulum pendulum NN 35024 385 10 for for IN 35024 385 11 the the DT 35024 385 12 determination determination NN 35024 385 13 of of IN 35024 385 14 gravity gravity NN 35024 385 15 was be VBD 35024 385 16 accompanied accompany VBN 35024 385 17 by by IN 35024 385 18 the the DT 35024 385 19 creation creation NN 35024 385 20 of of IN 35024 385 21 the the DT 35024 385 22 first first JJ 35024 385 23 international international NNP 35024 385 24 scientific scientific NNP 35024 385 25 association association NNP 35024 385 26 , , , 35024 385 27 one one CD 35024 385 28 for for IN 35024 385 29 geodesy geodesy NN 35024 385 30 . . . 35024 386 1 In in IN 35024 386 2 1861 1861 CD 35024 386 3 , , , 35024 386 4 Lt Lt NNP 35024 386 5 . . NNP 35024 386 6 Gen. Gen. NNP 35024 386 7 J. J. NNP 35024 386 8 J. J. NNP 35024 386 9 Baeyer Baeyer NNP 35024 386 10 , , , 35024 386 11 director director NN 35024 386 12 of of IN 35024 386 13 the the DT 35024 386 14 Prussian Prussian NNP 35024 386 15 Geodetic Geodetic NNP 35024 386 16 Survey Survey NNP 35024 386 17 , , , 35024 386 18 sent send VBD 35024 386 19 a a DT 35024 386 20 memorandum memorandum NN 35024 386 21 to to IN 35024 386 22 the the DT 35024 386 23 Prussian prussian JJ 35024 386 24 minister minister NN 35024 386 25 of of IN 35024 386 26 war war NN 35024 386 27 in in IN 35024 386 28 which which WDT 35024 386 29 he -PRON- PRP 35024 386 30 proposed propose VBD 35024 386 31 that that IN 35024 386 32 the the DT 35024 386 33 independent independent JJ 35024 386 34 geodetic geodetic JJ 35024 386 35 surveys survey NNS 35024 386 36 of of IN 35024 386 37 the the DT 35024 386 38 states state NNS 35024 386 39 of of IN 35024 386 40 central central JJ 35024 386 41 Europe Europe NNP 35024 386 42 be be VB 35024 386 43 coordinated coordinate VBN 35024 386 44 by by IN 35024 386 45 the the DT 35024 386 46 creation creation NN 35024 386 47 of of IN 35024 386 48 an an DT 35024 386 49 international international JJ 35024 386 50 organization organization NN 35024 386 51 . . . 35024 387 1 [ [ -LRB- 35024 387 2 49 49 CD 35024 387 3 ] ] -RRB- 35024 387 4 In in IN 35024 387 5 1862 1862 CD 35024 387 6 , , , 35024 387 7 invitations invitation NNS 35024 387 8 were be VBD 35024 387 9 sent send VBN 35024 387 10 to to IN 35024 387 11 the the DT 35024 387 12 various various JJ 35024 387 13 German german JJ 35024 387 14 states state NNS 35024 387 15 and and CC 35024 387 16 to to IN 35024 387 17 other other JJ 35024 387 18 states state NNS 35024 387 19 of of IN 35024 387 20 central central JJ 35024 387 21 Europe Europe NNP 35024 387 22 . . . 35024 388 1 The the DT 35024 388 2 first first JJ 35024 388 3 General General NNP 35024 388 4 Conference Conference NNP 35024 388 5 of of IN 35024 388 6 the the DT 35024 388 7 association association NN 35024 388 8 , , , 35024 388 9 initially initially RB 35024 388 10 called call VBD 35024 388 11 _ _ NNP 35024 388 12 Die Die NNP 35024 388 13 Mittel Mittel NNP 35024 388 14 - - HYPH 35024 388 15 Europäische Europäische NNP 35024 388 16 Gradmessung Gradmessung NNP 35024 388 17 _ _ NNP 35024 388 18 , , , 35024 388 19 also also RB 35024 388 20 _ _ NNP 35024 388 21 L'Association L'Association NNP 35024 388 22 Géodésique Géodésique NNP 35024 388 23 Internationale Internationale NNP 35024 388 24 _ _ NNP 35024 388 25 , , , 35024 388 26 was be VBD 35024 388 27 held hold VBN 35024 388 28 from from IN 35024 388 29 the the DT 35024 388 30 15th 15th NN 35024 388 31 to to IN 35024 388 32 the the DT 35024 388 33 22d 22d NNS 35024 388 34 of of IN 35024 388 35 October October NNP 35024 388 36 1864 1864 CD 35024 388 37 in in IN 35024 388 38 Berlin Berlin NNP 35024 388 39 . . . 35024 389 1 [ [ -LRB- 35024 389 2 50 50 CD 35024 389 3 ] ] -RRB- 35024 389 4 The the DT 35024 389 5 Conference Conference NNP 35024 389 6 decided decide VBD 35024 389 7 upon upon IN 35024 389 8 questions question NNS 35024 389 9 of of IN 35024 389 10 organization organization NN 35024 389 11 : : : 35024 389 12 a a DT 35024 389 13 general general JJ 35024 389 14 conference conference NN 35024 389 15 was be VBD 35024 389 16 to to TO 35024 389 17 be be VB 35024 389 18 held hold VBN 35024 389 19 ordinarily ordinarily RB 35024 389 20 every every DT 35024 389 21 three three CD 35024 389 22 years year NNS 35024 389 23 ; ; : 35024 389 24 a a DT 35024 389 25 permanent permanent JJ 35024 389 26 commission commission NN 35024 389 27 initially initially RB 35024 389 28 consisting consist VBG 35024 389 29 of of IN 35024 389 30 seven seven CD 35024 389 31 members member NNS 35024 389 32 was be VBD 35024 389 33 to to TO 35024 389 34 be be VB 35024 389 35 the the DT 35024 389 36 scientific scientific JJ 35024 389 37 organ organ NN 35024 389 38 of of IN 35024 389 39 the the DT 35024 389 40 association association NN 35024 389 41 and and CC 35024 389 42 to to TO 35024 389 43 meet meet VB 35024 389 44 annually annually RB 35024 389 45 ; ; : 35024 389 46 a a DT 35024 389 47 central central JJ 35024 389 48 bureau bureau NN 35024 389 49 was be VBD 35024 389 50 to to TO 35024 389 51 be be VB 35024 389 52 established establish VBN 35024 389 53 for for IN 35024 389 54 the the DT 35024 389 55 reception reception NN 35024 389 56 , , , 35024 389 57 publication publication NN 35024 389 58 , , , 35024 389 59 and and CC 35024 389 60 distribution distribution NN 35024 389 61 of of IN 35024 389 62 reports report NNS 35024 389 63 from from IN 35024 389 64 the the DT 35024 389 65 member member NN 35024 389 66 states state NNS 35024 389 67 . . . 35024 390 1 [ [ -LRB- 35024 390 2 Illustration illustration NN 35024 390 3 : : : 35024 390 4 Figure figure VB 35024 390 5 16.--FROM 16.--from CD 35024 390 6 A a DT 35024 390 7 DESIGN design NN 35024 390 8 LEFT left NN 35024 390 9 BY by IN 35024 390 10 BESSEL BESSEL NNS 35024 390 11 , , , 35024 390 12 this this DT 35024 390 13 portable portable JJ 35024 390 14 apparatus apparatus NN 35024 390 15 was be VBD 35024 390 16 developed develop VBN 35024 390 17 in in IN 35024 390 18 1862 1862 CD 35024 390 19 by by IN 35024 390 20 the the DT 35024 390 21 firm firm NN 35024 390 22 of of IN 35024 390 23 Repsold Repsold NNP 35024 390 24 in in IN 35024 390 25 Hamburg Hamburg NNP 35024 390 26 , , , 35024 390 27 whose whose WP$ 35024 390 28 founder founder NN 35024 390 29 had have VBD 35024 390 30 assisted assist VBN 35024 390 31 Bessel Bessel NNP 35024 390 32 in in IN 35024 390 33 the the DT 35024 390 34 construction construction NN 35024 390 35 of of IN 35024 390 36 his -PRON- PRP$ 35024 390 37 pendulum pendulum JJ 35024 390 38 apparatus apparatus NN 35024 390 39 of of IN 35024 390 40 1826 1826 CD 35024 390 41 . . . 35024 391 1 The the DT 35024 391 2 pendulum pendulum NN 35024 391 3 is be VBZ 35024 391 4 convertible convertible JJ 35024 391 5 , , , 35024 391 6 but but CC 35024 391 7 differs differ NNS 35024 391 8 from from IN 35024 391 9 Kater Kater NNP 35024 391 10 's 's POS 35024 391 11 in in IN 35024 391 12 being be VBG 35024 391 13 geometrically geometrically RB 35024 391 14 symmetrical symmetrical JJ 35024 391 15 and and CC 35024 391 16 , , , 35024 391 17 for for IN 35024 391 18 this this DT 35024 391 19 reason reason NN 35024 391 20 , , , 35024 391 21 Repsold Repsold NNP 35024 391 22 's 's POS 35024 391 23 is be VBZ 35024 391 24 usually usually RB 35024 391 25 called call VBN 35024 391 26 " " `` 35024 391 27 reversible reversible JJ 35024 391 28 . . . 35024 391 29 " " '' 35024 392 1 Just just RB 35024 392 2 to to IN 35024 392 3 the the DT 35024 392 4 right right NN 35024 392 5 of of IN 35024 392 6 the the DT 35024 392 7 pendulum pendulum NN 35024 392 8 is be VBZ 35024 392 9 a a DT 35024 392 10 standard standard JJ 35024 392 11 scale scale NN 35024 392 12 . . . 35024 393 1 To to IN 35024 393 2 the the DT 35024 393 3 left left NN 35024 393 4 is be VBZ 35024 393 5 a a DT 35024 393 6 " " `` 35024 393 7 vertical vertical JJ 35024 393 8 comparator comparator NN 35024 393 9 " " '' 35024 393 10 designed design VBN 35024 393 11 by by IN 35024 393 12 Repsold Repsold NNP 35024 393 13 to to TO 35024 393 14 measure measure VB 35024 393 15 the the DT 35024 393 16 distance distance NN 35024 393 17 between between IN 35024 393 18 the the DT 35024 393 19 knife knife NN 35024 393 20 edges edge NNS 35024 393 21 of of IN 35024 393 22 the the DT 35024 393 23 pendulum pendulum NN 35024 393 24 . . . 35024 394 1 To to TO 35024 394 2 make make VB 35024 394 3 this this DT 35024 394 4 measurement measurement NN 35024 394 5 , , , 35024 394 6 two two CD 35024 394 7 micrometer micrometer NN 35024 394 8 microscopes microscope NNS 35024 394 9 which which WDT 35024 394 10 project project VBP 35024 394 11 horizontally horizontally RB 35024 394 12 through through IN 35024 394 13 the the DT 35024 394 14 comparator comparator NN 35024 394 15 are be VBP 35024 394 16 alternately alternately RB 35024 394 17 focused focused JJ 35024 394 18 on on IN 35024 394 19 the the DT 35024 394 20 knife knife NN 35024 394 21 edges edge NNS 35024 394 22 and and CC 35024 394 23 on on IN 35024 394 24 the the DT 35024 394 25 standard standard JJ 35024 394 26 scale scale NN 35024 394 27 . . . 35024 394 28 ] ] -RRB- 35024 395 1 Under under IN 35024 395 2 the the DT 35024 395 3 topic topic NN 35024 395 4 " " `` 35024 395 5 Astronomical Astronomical NNP 35024 395 6 Questions Questions NNPS 35024 395 7 , , , 35024 395 8 " " '' 35024 395 9 the the DT 35024 395 10 General General NNP 35024 395 11 Conference Conference NNP 35024 395 12 of of IN 35024 395 13 1864 1864 CD 35024 395 14 resolved resolve VBD 35024 395 15 that that IN 35024 395 16 there there EX 35024 395 17 should should MD 35024 395 18 be be VB 35024 395 19 determinations determination NNS 35024 395 20 of of IN 35024 395 21 the the DT 35024 395 22 intensity intensity NN 35024 395 23 of of IN 35024 395 24 gravity gravity NN 35024 395 25 at at IN 35024 395 26 the the DT 35024 395 27 greatest great JJS 35024 395 28 possible possible JJ 35024 395 29 number number NN 35024 395 30 of of IN 35024 395 31 points point NNS 35024 395 32 of of IN 35024 395 33 the the DT 35024 395 34 geodetic geodetic JJ 35024 395 35 network network NN 35024 395 36 , , , 35024 395 37 and and CC 35024 395 38 recommended recommend VBD 35024 395 39 the the DT 35024 395 40 reversible reversible JJ 35024 395 41 pendulum pendulum NN 35024 395 42 as as IN 35024 395 43 the the DT 35024 395 44 instrument instrument NN 35024 395 45 of of IN 35024 395 46 observation observation NN 35024 395 47 . . . 35024 396 1 [ [ -LRB- 35024 396 2 51 51 CD 35024 396 3 ] ] -RRB- 35024 396 4 At at IN 35024 396 5 the the DT 35024 396 6 second second JJ 35024 396 7 General General NNP 35024 396 8 Conference Conference NNP 35024 396 9 , , , 35024 396 10 in in IN 35024 396 11 Berlin Berlin NNP 35024 396 12 in in IN 35024 396 13 1867 1867 CD 35024 396 14 , , , 35024 396 15 on on IN 35024 396 16 the the DT 35024 396 17 basis basis NN 35024 396 18 of of IN 35024 396 19 favorable favorable JJ 35024 396 20 reports report NNS 35024 396 21 by by IN 35024 396 22 Dr. Dr. NNP 35024 396 23 Hirsch Hirsch NNP 35024 396 24 , , , 35024 396 25 director director NN 35024 396 26 of of IN 35024 396 27 the the DT 35024 396 28 observatory observatory NN 35024 396 29 at at IN 35024 396 30 Neuchâtel Neuchâtel NNP 35024 396 31 , , , 35024 396 32 of of IN 35024 396 33 Swiss swiss JJ 35024 396 34 practice practice NN 35024 396 35 with with IN 35024 396 36 the the DT 35024 396 37 Repsold Repsold NNP 35024 396 38 - - HYPH 35024 396 39 Bessel Bessel NNP 35024 396 40 reversible reversible NN 35024 396 41 pendulum pendulum NN 35024 396 42 , , , 35024 396 43 this this DT 35024 396 44 instrument instrument NN 35024 396 45 was be VBD 35024 396 46 specifically specifically RB 35024 396 47 recommended recommend VBN 35024 396 48 for for IN 35024 396 49 determinations determination NNS 35024 396 50 of of IN 35024 396 51 gravity gravity NN 35024 396 52 . . . 35024 397 1 [ [ -LRB- 35024 397 2 52 52 CD 35024 397 3 ] ] -RRB- 35024 397 4 The the DT 35024 397 5 title title NN 35024 397 6 of of IN 35024 397 7 the the DT 35024 397 8 association association NN 35024 397 9 was be VBD 35024 397 10 changed change VBN 35024 397 11 to to IN 35024 397 12 _ _ NNP 35024 397 13 Die Die NNP 35024 397 14 Europäische Europäische NNP 35024 397 15 Gradmessung Gradmessung NNP 35024 397 16 _ _ NNP 35024 397 17 ; ; : 35024 397 18 in in IN 35024 397 19 1886 1886 CD 35024 397 20 , , , 35024 397 21 it -PRON- PRP 35024 397 22 became become VBD 35024 397 23 _ _ NNP 35024 397 24 Die Die NNP 35024 397 25 Internationale Internationale NNP 35024 397 26 Erdmessung Erdmessung NNP 35024 397 27 _ _ NNP 35024 397 28 , , , 35024 397 29 under under IN 35024 397 30 which which WDT 35024 397 31 title title NN 35024 397 32 it -PRON- PRP 35024 397 33 continued continue VBD 35024 397 34 until until IN 35024 397 35 World World NNP 35024 397 36 War War NNP 35024 397 37 I. I. NNP 35024 398 1 On on IN 35024 398 2 April April NNP 35024 398 3 1 1 CD 35024 398 4 , , , 35024 398 5 1866 1866 CD 35024 398 6 , , , 35024 398 7 the the DT 35024 398 8 Central Central NNP 35024 398 9 Bureau Bureau NNP 35024 398 10 of of IN 35024 398 11 _ _ NNP 35024 398 12 Die Die NNP 35024 398 13 Europäische Europäische NNP 35024 398 14 Gradmessung Gradmessung NNP 35024 398 15 _ _ NNP 35024 398 16 was be VBD 35024 398 17 opened open VBN 35024 398 18 in in IN 35024 398 19 Berlin Berlin NNP 35024 398 20 under under IN 35024 398 21 the the DT 35024 398 22 presidency presidency NN 35024 398 23 of of IN 35024 398 24 Baeyer Baeyer NNP 35024 398 25 , , , 35024 398 26 and and CC 35024 398 27 in in IN 35024 398 28 1868 1868 CD 35024 398 29 there there EX 35024 398 30 was be VBD 35024 398 31 founded found VBN 35024 398 32 at at IN 35024 398 33 Berlin Berlin NNP 35024 398 34 , , , 35024 398 35 also also RB 35024 398 36 under under IN 35024 398 37 his -PRON- PRP$ 35024 398 38 presidency presidency NN 35024 398 39 , , , 35024 398 40 the the DT 35024 398 41 Royal Royal NNP 35024 398 42 Prussian Prussian NNP 35024 398 43 Geodetic Geodetic NNP 35024 398 44 Institute Institute NNP 35024 398 45 , , , 35024 398 46 which which WDT 35024 398 47 obtained obtain VBD 35024 398 48 regular regular JJ 35024 398 49 budgetary budgetary JJ 35024 398 50 status status NN 35024 398 51 on on IN 35024 398 52 January January NNP 35024 398 53 1 1 CD 35024 398 54 , , , 35024 398 55 1870 1870 CD 35024 398 56 . . . 35024 399 1 A a DT 35024 399 2 reversible reversible JJ 35024 399 3 pendulum pendulum NN 35024 399 4 for for IN 35024 399 5 the the DT 35024 399 6 Institute Institute NNP 35024 399 7 was be VBD 35024 399 8 ordered order VBN 35024 399 9 from from IN 35024 399 10 A. A. NNP 35024 399 11 Repsold Repsold NNP 35024 399 12 and and CC 35024 399 13 Sons Sons NNPS 35024 399 14 , , , 35024 399 15 and and CC 35024 399 16 it -PRON- PRP 35024 399 17 was be VBD 35024 399 18 delivered deliver VBN 35024 399 19 in in IN 35024 399 20 the the DT 35024 399 21 spring spring NN 35024 399 22 of of IN 35024 399 23 1869 1869 CD 35024 399 24 . . . 35024 400 1 The the DT 35024 400 2 Prussian prussian JJ 35024 400 3 instrument instrument NN 35024 400 4 was be VBD 35024 400 5 symmetrical symmetrical JJ 35024 400 6 geometrically geometrically RB 35024 400 7 , , , 35024 400 8 as as IN 35024 400 9 specified specify VBN 35024 400 10 by by IN 35024 400 11 Bessel Bessel NNP 35024 400 12 , , , 35024 400 13 but but CC 35024 400 14 different different JJ 35024 400 15 in in IN 35024 400 16 form form NN 35024 400 17 from from IN 35024 400 18 the the DT 35024 400 19 Swiss swiss JJ 35024 400 20 and and CC 35024 400 21 Russian russian JJ 35024 400 22 pendulums pendulum NNS 35024 400 23 . . . 35024 401 1 The the DT 35024 401 2 distance distance NN 35024 401 3 between between IN 35024 401 4 the the DT 35024 401 5 knife knife NN 35024 401 6 edges edge NNS 35024 401 7 was be VBD 35024 401 8 1 1 CD 35024 401 9 meter meter NN 35024 401 10 , , , 35024 401 11 and and CC 35024 401 12 the the DT 35024 401 13 time time NN 35024 401 14 of of IN 35024 401 15 swing swing NN 35024 401 16 approximately approximately RB 35024 401 17 1 1 CD 35024 401 18 second second NN 35024 401 19 . . . 35024 402 1 The the DT 35024 402 2 Prussian Prussian NNP 35024 402 3 Repsold Repsold NNP 35024 402 4 - - HYPH 35024 402 5 Bessel Bessel NNP 35024 402 6 pendulum pendulum NN 35024 402 7 was be VBD 35024 402 8 swung swing VBN 35024 402 9 at at IN 35024 402 10 Leipzig Leipzig NNP 35024 402 11 and and CC 35024 402 12 other other JJ 35024 402 13 stations station NNS 35024 402 14 in in IN 35024 402 15 central central JJ 35024 402 16 Europe Europe NNP 35024 402 17 during during IN 35024 402 18 the the DT 35024 402 19 years year NNS 35024 402 20 1869 1869 CD 35024 402 21 - - SYM 35024 402 22 1870 1870 CD 35024 402 23 by by IN 35024 402 24 Dr. Dr. NNP 35024 402 25 Albrecht Albrecht NNP 35024 402 26 under under IN 35024 402 27 the the DT 35024 402 28 direction direction NN 35024 402 29 of of IN 35024 402 30 Dr. Dr. NNP 35024 402 31 Bruhns Bruhns NNP 35024 402 32 , , , 35024 402 33 director director NN 35024 402 34 of of IN 35024 402 35 the the DT 35024 402 36 observatory observatory NN 35024 402 37 at at IN 35024 402 38 Leipzig Leipzig NNP 35024 402 39 and and CC 35024 402 40 chief chief NN 35024 402 41 of of IN 35024 402 42 the the DT 35024 402 43 astronomical astronomical JJ 35024 402 44 section section NN 35024 402 45 of of IN 35024 402 46 the the DT 35024 402 47 Geodetic Geodetic NNP 35024 402 48 Institute Institute NNP 35024 402 49 . . . 35024 403 1 The the DT 35024 403 2 results result NNS 35024 403 3 of of IN 35024 403 4 these these DT 35024 403 5 first first JJ 35024 403 6 observations observation NNS 35024 403 7 appeared appear VBD 35024 403 8 in in IN 35024 403 9 a a DT 35024 403 10 publication publication NN 35024 403 11 of of IN 35024 403 12 the the DT 35024 403 13 Royal Royal NNP 35024 403 14 Prussian Prussian NNP 35024 403 15 Geodetic Geodetic NNP 35024 403 16 Institute Institute NNP 35024 403 17 in in IN 35024 403 18 1871 1871 CD 35024 403 19 . . . 35024 404 1 [ [ -LRB- 35024 404 2 53 53 CD 35024 404 3 ] ] -RRB- 35024 404 4 Results result NNS 35024 404 5 of of IN 35024 404 6 observations observation NNS 35024 404 7 with with IN 35024 404 8 the the DT 35024 404 9 Russian Russian NNP 35024 404 10 Repsold Repsold NNP 35024 404 11 - - HYPH 35024 404 12 Bessel Bessel NNP 35024 404 13 pendulums pendulum NNS 35024 404 14 were be VBD 35024 404 15 published publish VBN 35024 404 16 by by IN 35024 404 17 the the DT 35024 404 18 Imperial Imperial NNP 35024 404 19 Academy Academy NNP 35024 404 20 of of IN 35024 404 21 Sciences Sciences NNPS 35024 404 22 . . . 35024 405 1 In in IN 35024 405 2 1872 1872 CD 35024 405 3 , , , 35024 405 4 Prof. Prof. NNP 35024 405 5 Sawitsch Sawitsch NNP 35024 405 6 reported report VBD 35024 405 7 the the DT 35024 405 8 work work NN 35024 405 9 for for IN 35024 405 10 western western JJ 35024 405 11 Europeans Europeans NNPS 35024 405 12 in in IN 35024 405 13 " " `` 35024 405 14 Les Les NNP 35024 405 15 variations variation NNS 35024 405 16 de de FW 35024 405 17 la la NNP 35024 405 18 pesanteur pesanteur NNP 35024 405 19 dans dan NNS 35024 405 20 les les VBP 35024 405 21 provinces province NNS 35024 405 22 occidentales occidentale VBZ 35024 405 23 de de NNP 35024 405 24 l'Empire l'Empire NNP 35024 405 25 russe russe NNP 35024 405 26 . . . 35024 406 1 " " `` 35024 406 2 [ [ -LRB- 35024 406 3 48 48 CD 35024 406 4 ] ] -RRB- 35024 406 5 In in IN 35024 406 6 November November NNP 35024 406 7 1873 1873 CD 35024 406 8 , , , 35024 406 9 the the DT 35024 406 10 Austrian Austrian NNP 35024 406 11 Geodetic Geodetic NNP 35024 406 12 Commission Commission NNP 35024 406 13 received receive VBD 35024 406 14 a a DT 35024 406 15 Repsold Repsold NNP 35024 406 16 - - HYPH 35024 406 17 Bessel Bessel NNP 35024 406 18 reversible reversible NN 35024 406 19 pendulum pendulum NN 35024 406 20 and and CC 35024 406 21 on on IN 35024 406 22 September September NNP 35024 406 23 24 24 CD 35024 406 24 , , , 35024 406 25 1874 1874 CD 35024 406 26 , , , 35024 406 27 Prof. Prof. NNP 35024 406 28 Theodor Theodor NNP 35024 406 29 von von NNP 35024 406 30 Oppolzer Oppolzer NNP 35024 406 31 reported report VBD 35024 406 32 on on IN 35024 406 33 observations observation NNS 35024 406 34 at at IN 35024 406 35 Vienna Vienna NNP 35024 406 36 and and CC 35024 406 37 other other JJ 35024 406 38 stations station NNS 35024 406 39 to to IN 35024 406 40 the the DT 35024 406 41 Fourth Fourth NNP 35024 406 42 General General NNP 35024 406 43 Conference Conference NNP 35024 406 44 of of IN 35024 406 45 _ _ NNP 35024 406 46 Die Die NNP 35024 406 47 Europäische Europäische NNP 35024 406 48 Gradmessung Gradmessung NNP 35024 406 49 _ _ NNP 35024 406 50 in in IN 35024 406 51 Dresden Dresden NNP 35024 406 52 . . . 35024 407 1 [ [ -LRB- 35024 407 2 54 54 CD 35024 407 3 ] ] -RRB- 35024 407 4 At at IN 35024 407 5 the the DT 35024 407 6 fourth fourth JJ 35024 407 7 session session NN 35024 407 8 of of IN 35024 407 9 the the DT 35024 407 10 Conference Conference NNP 35024 407 11 , , , 35024 407 12 on on IN 35024 407 13 September September NNP 35024 407 14 28 28 CD 35024 407 15 , , , 35024 407 16 1874 1874 CD 35024 407 17 , , , 35024 407 18 a a DT 35024 407 19 Special Special NNP 35024 407 20 Commission Commission NNP 35024 407 21 , , , 35024 407 22 consisting consist VBG 35024 407 23 of of IN 35024 407 24 Baeyer Baeyer NNP 35024 407 25 , , , 35024 407 26 as as IN 35024 407 27 chairman chairman NN 35024 407 28 , , , 35024 407 29 and and CC 35024 407 30 Bruhns Bruhns NNP 35024 407 31 , , , 35024 407 32 Hirsch Hirsch NNP 35024 407 33 , , , 35024 407 34 von von NNP 35024 407 35 Oppolzer Oppolzer NNP 35024 407 36 , , , 35024 407 37 Peters Peters NNP 35024 407 38 , , , 35024 407 39 and and CC 35024 407 40 Albrecht Albrecht NNP 35024 407 41 , , , 35024 407 42 was be VBD 35024 407 43 appointed appoint VBN 35024 407 44 to to TO 35024 407 45 consider consider VB 35024 407 46 ( ( -LRB- 35024 407 47 under under IN 35024 407 48 Topic Topic NNP 35024 407 49 3 3 CD 35024 407 50 of of IN 35024 407 51 the the DT 35024 407 52 program program NN 35024 407 53 ) ) -RRB- 35024 407 54 : : : 35024 407 55 " " `` 35024 407 56 Observations observation NNS 35024 407 57 for for IN 35024 407 58 the the DT 35024 407 59 determination determination NN 35024 407 60 of of IN 35024 407 61 the the DT 35024 407 62 intensity intensity NN 35024 407 63 of of IN 35024 407 64 gravity gravity NN 35024 407 65 , , , 35024 407 66 " " '' 35024 407 67 the the DT 35024 407 68 question question NN 35024 407 69 , , , 35024 407 70 " " '' 35024 407 71 Which which WDT 35024 407 72 Pendulum Pendulum NNP 35024 407 73 - - HYPH 35024 407 74 apparatuses apparatus NNS 35024 407 75 are be VBP 35024 407 76 preferable preferable JJ 35024 407 77 for for IN 35024 407 78 the the DT 35024 407 79 determination determination NN 35024 407 80 of of IN 35024 407 81 many many JJ 35024 407 82 points point NNS 35024 407 83 ? ? . 35024 407 84 " " '' 35024 408 1 After after IN 35024 408 2 the the DT 35024 408 3 adoption adoption NN 35024 408 4 of of IN 35024 408 5 the the DT 35024 408 6 Repsold Repsold NNP 35024 408 7 - - HYPH 35024 408 8 Bessel Bessel NNP 35024 408 9 reversible reversible NN 35024 408 10 pendulum pendulum NN 35024 408 11 for for IN 35024 408 12 gravity gravity NN 35024 408 13 determinations determination NNS 35024 408 14 in in IN 35024 408 15 Europe Europe NNP 35024 408 16 , , , 35024 408 17 work work NN 35024 408 18 in in IN 35024 408 19 the the DT 35024 408 20 field field NN 35024 408 21 was be VBD 35024 408 22 begun begin VBN 35024 408 23 by by IN 35024 408 24 the the DT 35024 408 25 U.S. U.S. NNP 35024 408 26 Coast Coast NNP 35024 408 27 Survey Survey NNP 35024 408 28 under under IN 35024 408 29 the the DT 35024 408 30 superintendency superintendency NN 35024 408 31 of of IN 35024 408 32 Prof. Prof. NNP 35024 408 33 Benjamin Benjamin NNP 35024 408 34 Peirce Peirce NNP 35024 408 35 . . . 35024 409 1 There there EX 35024 409 2 is be VBZ 35024 409 3 mention mention NN 35024 409 4 in in IN 35024 409 5 reports report NNS 35024 409 6 of of IN 35024 409 7 observations observation NNS 35024 409 8 with with IN 35024 409 9 pendulums pendulum NNS 35024 409 10 prior prior RB 35024 409 11 to to IN 35024 409 12 Peirce Peirce NNP 35024 409 13 's 's POS 35024 409 14 direction direction NN 35024 409 15 to to IN 35024 409 16 his -PRON- PRP$ 35024 409 17 son son NN 35024 409 18 Charles Charles NNP 35024 409 19 on on IN 35024 409 20 November November NNP 35024 409 21 30 30 CD 35024 409 22 , , , 35024 409 23 1872 1872 CD 35024 409 24 , , , 35024 409 25 " " `` 35024 409 26 to to TO 35024 409 27 take take VB 35024 409 28 charge charge NN 35024 409 29 of of IN 35024 409 30 the the DT 35024 409 31 Pendulum Pendulum NNP 35024 409 32 Experiments Experiments NNPS 35024 409 33 of of IN 35024 409 34 the the DT 35024 409 35 Coast Coast NNP 35024 409 36 Survey Survey NNP 35024 409 37 and and CC 35024 409 38 to to TO 35024 409 39 direct direct VB 35024 409 40 and and CC 35024 409 41 inspect inspect VB 35024 409 42 all all DT 35024 409 43 parties party NNS 35024 409 44 engaged engage VBN 35024 409 45 in in IN 35024 409 46 such such JJ 35024 409 47 experiments experiment NNS 35024 409 48 and and CC 35024 409 49 as as RB 35024 409 50 often often RB 35024 409 51 as as IN 35024 409 52 circumstances circumstance NNS 35024 409 53 will will MD 35024 409 54 permit permit VB 35024 409 55 , , , 35024 409 56 to to TO 35024 409 57 take take VB 35024 409 58 the the DT 35024 409 59 field field NN 35024 409 60 with with IN 35024 409 61 a a DT 35024 409 62 party party NN 35024 409 63 .... .... NFP 35024 409 64 "[55 "[55 NFP 35024 409 65 ] ] -RRB- 35024 409 66 Systematic systematic JJ 35024 409 67 and and CC 35024 409 68 important important JJ 35024 409 69 gravity gravity NN 35024 409 70 work work NN 35024 409 71 by by IN 35024 409 72 the the DT 35024 409 73 Survey Survey NNP 35024 409 74 was be VBD 35024 409 75 begun begin VBN 35024 409 76 by by IN 35024 409 77 Charles Charles NNP 35024 409 78 Sanders Sanders NNP 35024 409 79 Peirce Peirce NNP 35024 409 80 . . . 35024 410 1 Upon upon IN 35024 410 2 receiving receive VBG 35024 410 3 notice notice NN 35024 410 4 of of IN 35024 410 5 his -PRON- PRP$ 35024 410 6 appointment appointment NN 35024 410 7 , , , 35024 410 8 the the DT 35024 410 9 latter latter JJ 35024 410 10 promptly promptly RB 35024 410 11 ordered order VBN 35024 410 12 from from IN 35024 410 13 the the DT 35024 410 14 Repsolds Repsolds NNP 35024 410 15 a a DT 35024 410 16 pendulum pendulum NN 35024 410 17 similar similar JJ 35024 410 18 to to IN 35024 410 19 the the DT 35024 410 20 Prussian prussian JJ 35024 410 21 instrument instrument NN 35024 410 22 . . . 35024 411 1 Since since IN 35024 411 2 the the DT 35024 411 3 firm firm NN 35024 411 4 of of IN 35024 411 5 mechanicians mechanician NNS 35024 411 6 was be VBD 35024 411 7 engaged engage VBN 35024 411 8 in in IN 35024 411 9 making make VBG 35024 411 10 instruments instrument NNS 35024 411 11 for for IN 35024 411 12 observations observation NNS 35024 411 13 of of IN 35024 411 14 the the DT 35024 411 15 transit transit NN 35024 411 16 of of IN 35024 411 17 Venus Venus NNP 35024 411 18 in in IN 35024 411 19 1874 1874 CD 35024 411 20 , , , 35024 411 21 the the DT 35024 411 22 pendulum pendulum NN 35024 411 23 for for IN 35024 411 24 the the DT 35024 411 25 Coast Coast NNP 35024 411 26 Survey Survey NNP 35024 411 27 could could MD 35024 411 28 not not RB 35024 411 29 be be VB 35024 411 30 constructed construct VBN 35024 411 31 immediately immediately RB 35024 411 32 . . . 35024 412 1 Meanwhile meanwhile RB 35024 412 2 , , , 35024 412 3 during during IN 35024 412 4 the the DT 35024 412 5 years year NNS 35024 412 6 1873 1873 CD 35024 412 7 - - SYM 35024 412 8 1874 1874 CD 35024 412 9 , , , 35024 412 10 Charles Charles NNP 35024 412 11 Peirce Peirce NNP 35024 412 12 conducted conduct VBD 35024 412 13 a a DT 35024 412 14 party party NN 35024 412 15 which which WDT 35024 412 16 made make VBD 35024 412 17 observations observation NNS 35024 412 18 of of IN 35024 412 19 gravity gravity NN 35024 412 20 in in IN 35024 412 21 the the DT 35024 412 22 Hoosac Hoosac NNP 35024 412 23 Tunnel Tunnel NNP 35024 412 24 near near IN 35024 412 25 North North NNP 35024 412 26 Adams Adams NNP 35024 412 27 , , , 35024 412 28 and and CC 35024 412 29 at at IN 35024 412 30 Northampton Northampton NNP 35024 412 31 and and CC 35024 412 32 Cambridge Cambridge NNP 35024 412 33 , , , 35024 412 34 Massachusetts Massachusetts NNP 35024 412 35 . . . 35024 413 1 The the DT 35024 413 2 pendulums pendulum NNS 35024 413 3 used use VBN 35024 413 4 were be VBD 35024 413 5 nonreversible nonreversible JJ 35024 413 6 , , , 35024 413 7 invariable invariable JJ 35024 413 8 pendulums pendulum NNS 35024 413 9 with with IN 35024 413 10 conical conical JJ 35024 413 11 bobs bobs NN 35024 413 12 . . . 35024 414 1 Among among IN 35024 414 2 them -PRON- PRP 35024 414 3 was be VBD 35024 414 4 a a DT 35024 414 5 silver silver JJ 35024 414 6 pendulum pendulum NN 35024 414 7 , , , 35024 414 8 but but CC 35024 414 9 similar similar JJ 35024 414 10 pendulums pendulum NNS 35024 414 11 of of IN 35024 414 12 brass brass NN 35024 414 13 were be VBD 35024 414 14 used use VBN 35024 414 15 also also RB 35024 414 16 . . . 35024 415 1 [ [ -LRB- 35024 415 2 56 56 CD 35024 415 3 ] ] -RRB- 35024 415 4 [ [ -LRB- 35024 415 5 Illustration illustration NN 35024 415 6 : : : 35024 415 7 Figure figure VB 35024 415 8 17.--REPSOLD 17.--repsold CD 35024 415 9 - - HYPH 35024 415 10 BESSEL bessel NN 35024 415 11 REVERSIBLE reversible NN 35024 415 12 PENDULUM pendulum NN 35024 415 13 apparatus apparatus NN 35024 415 14 as as IN 35024 415 15 made make VBN 35024 415 16 in in IN 35024 415 17 1875 1875 CD 35024 415 18 , , , 35024 415 19 and and CC 35024 415 20 used use VBN 35024 415 21 in in IN 35024 415 22 the the DT 35024 415 23 gravity gravity NN 35024 415 24 work work NN 35024 415 25 of of IN 35024 415 26 the the DT 35024 415 27 U.S. U.S. NNP 35024 415 28 Coast Coast NNP 35024 415 29 and and CC 35024 415 30 Geodetic Geodetic NNP 35024 415 31 Survey Survey NNP 35024 415 32 . . . 35024 416 1 Continental continental JJ 35024 416 2 geodesists geodesist NNS 35024 416 3 continued continue VBD 35024 416 4 to to TO 35024 416 5 favor favor VB 35024 416 6 the the DT 35024 416 7 general general JJ 35024 416 8 use use NN 35024 416 9 of of IN 35024 416 10 convertible convertible JJ 35024 416 11 pendulums pendulum NNS 35024 416 12 and and CC 35024 416 13 absolute absolute JJ 35024 416 14 determinations determination NNS 35024 416 15 of of IN 35024 416 16 gravity gravity NN 35024 416 17 , , , 35024 416 18 while while IN 35024 416 19 their -PRON- PRP$ 35024 416 20 English english JJ 35024 416 21 colleagues colleague NNS 35024 416 22 had have VBD 35024 416 23 turned turn VBN 35024 416 24 to to IN 35024 416 25 invariable invariable JJ 35024 416 26 pendulums pendulum NNS 35024 416 27 and and CC 35024 416 28 relative relative JJ 35024 416 29 determinations determination NNS 35024 416 30 , , , 35024 416 31 except except IN 35024 416 32 for for IN 35024 416 33 base base NN 35024 416 34 stations station NNS 35024 416 35 . . . 35024 417 1 Perhaps perhaps RB 35024 417 2 the the DT 35024 417 3 first first JJ 35024 417 4 important important JJ 35024 417 5 American american JJ 35024 417 6 contribution contribution NN 35024 417 7 to to IN 35024 417 8 gravity gravity NN 35024 417 9 work work NN 35024 417 10 was be VBD 35024 417 11 C. C. NNP 35024 417 12 S. S. NNP 35024 417 13 Peirce Peirce NNP 35024 417 14 's 's POS 35024 417 15 demonstration demonstration NN 35024 417 16 of of IN 35024 417 17 the the DT 35024 417 18 error error NN 35024 417 19 inherent inherent JJ 35024 417 20 in in IN 35024 417 21 the the DT 35024 417 22 Repsold Repsold NNP 35024 417 23 apparatus apparatus NN 35024 417 24 through through IN 35024 417 25 flexure flexure NN 35024 417 26 of of IN 35024 417 27 the the DT 35024 417 28 stand stand NN 35024 417 29 . . . 35024 417 30 ] ] -RRB- 35024 418 1 [ [ -LRB- 35024 418 2 Illustration illustration NN 35024 418 3 : : : 35024 418 4 Figure figure NN 35024 418 5 18.--CHARLES 18.--charles CD 35024 418 6 SANDERS sander NNS 35024 418 7 PEIRCE PEIRCE NNP 35024 418 8 ( ( -LRB- 35024 418 9 1839 1839 CD 35024 418 10 - - SYM 35024 418 11 1914 1914 CD 35024 418 12 ) ) -RRB- 35024 418 13 , , , 35024 418 14 son son NN 35024 418 15 of of IN 35024 418 16 Benjamin Benjamin NNP 35024 418 17 Peirce Peirce NNP 35024 418 18 , , , 35024 418 19 Perkins Perkins NNP 35024 418 20 Professor Professor NNP 35024 418 21 of of IN 35024 418 22 Astronomy Astronomy NNP 35024 418 23 and and CC 35024 418 24 Mathematics Mathematics NNP 35024 418 25 at at IN 35024 418 26 Harvard Harvard NNP 35024 418 27 College College NNP 35024 418 28 . . . 35024 419 1 C. C. NNP 35024 419 2 S. S. NNP 35024 419 3 Peirce Peirce NNP 35024 419 4 graduated graduate VBD 35024 419 5 from from IN 35024 419 6 Harvard Harvard NNP 35024 419 7 in in IN 35024 419 8 1859 1859 CD 35024 419 9 . . . 35024 420 1 From from IN 35024 420 2 1873 1873 CD 35024 420 3 to to IN 35024 420 4 1891 1891 CD 35024 420 5 , , , 35024 420 6 as as IN 35024 420 7 an an DT 35024 420 8 assistant assistant NN 35024 420 9 at at IN 35024 420 10 the the DT 35024 420 11 U.S. U.S. NNP 35024 420 12 Coast Coast NNP 35024 420 13 and and CC 35024 420 14 Geodetic Geodetic NNP 35024 420 15 Survey Survey NNP 35024 420 16 , , , 35024 420 17 he -PRON- PRP 35024 420 18 accomplished accomplish VBD 35024 420 19 the the DT 35024 420 20 important important JJ 35024 420 21 gravimetric gravimetric NN 35024 420 22 work work NN 35024 420 23 described describe VBN 35024 420 24 in in IN 35024 420 25 this this DT 35024 420 26 article article NN 35024 420 27 . . . 35024 421 1 Peirce Peirce NNP 35024 421 2 was be VBD 35024 421 3 also also RB 35024 421 4 interested interested JJ 35024 421 5 in in IN 35024 421 6 many many JJ 35024 421 7 other other JJ 35024 421 8 fields field NNS 35024 421 9 , , , 35024 421 10 but but CC 35024 421 11 above above IN 35024 421 12 all all DT 35024 421 13 in in IN 35024 421 14 the the DT 35024 421 15 logic logic NN 35024 421 16 , , , 35024 421 17 philosophy philosophy NN 35024 421 18 , , , 35024 421 19 and and CC 35024 421 20 history history NN 35024 421 21 of of IN 35024 421 22 science science NN 35024 421 23 , , , 35024 421 24 in in IN 35024 421 25 which which WDT 35024 421 26 he -PRON- PRP 35024 421 27 wrote write VBD 35024 421 28 extensively extensively RB 35024 421 29 . . . 35024 422 1 His -PRON- PRP$ 35024 422 2 greatest great JJS 35024 422 3 fame fame NN 35024 422 4 is be VBZ 35024 422 5 in in IN 35024 422 6 philosophy philosophy NN 35024 422 7 , , , 35024 422 8 where where WRB 35024 422 9 he -PRON- PRP 35024 422 10 is be VBZ 35024 422 11 regarded regard VBN 35024 422 12 as as IN 35024 422 13 the the DT 35024 422 14 founder founder NN 35024 422 15 of of IN 35024 422 16 pragmatism pragmatism NN 35024 422 17 . . . 35024 422 18 ] ] -RRB- 35024 423 1 In in IN 35024 423 2 1874 1874 CD 35024 423 3 , , , 35024 423 4 Charles Charles NNP 35024 423 5 Peirce Peirce NNP 35024 423 6 expressed express VBD 35024 423 7 the the DT 35024 423 8 desire desire NN 35024 423 9 to to TO 35024 423 10 be be VB 35024 423 11 sent send VBN 35024 423 12 to to IN 35024 423 13 Europe Europe NNP 35024 423 14 for for IN 35024 423 15 at at RB 35024 423 16 least least JJS 35024 423 17 a a DT 35024 423 18 year year NN 35024 423 19 , , , 35024 423 20 beginning begin VBG 35024 423 21 about about IN 35024 423 22 March March NNP 35024 423 23 1 1 CD 35024 423 24 , , , 35024 423 25 1875 1875 CD 35024 423 26 , , , 35024 423 27 " " `` 35024 423 28 to to TO 35024 423 29 learn learn VB 35024 423 30 the the DT 35024 423 31 use use NN 35024 423 32 of of IN 35024 423 33 the the DT 35024 423 34 new new JJ 35024 423 35 convertible convertible JJ 35024 423 36 pendulum pendulum NN 35024 423 37 and and CC 35024 423 38 to to TO 35024 423 39 compare compare VB 35024 423 40 it -PRON- PRP 35024 423 41 with with IN 35024 423 42 those those DT 35024 423 43 of of IN 35024 423 44 the the DT 35024 423 45 European european JJ 35024 423 46 measure measure NN 35024 423 47 of of IN 35024 423 48 a a DT 35024 423 49 Degree Degree NNP 35024 423 50 and and CC 35024 423 51 the the DT 35024 423 52 Swiss Swiss NNP 35024 423 53 and and CC 35024 423 54 to to TO 35024 423 55 compare compare VB 35024 423 56 " " `` 35024 423 57 his -PRON- PRP$ 35024 423 58 " " `` 35024 423 59 invariable invariable JJ 35024 423 60 pendulums pendulum NNS 35024 423 61 in in IN 35024 423 62 the the DT 35024 423 63 manner manner NN 35024 423 64 which which WDT 35024 423 65 has have VBZ 35024 423 66 been be VBN 35024 423 67 used use VBN 35024 423 68 by by IN 35024 423 69 swinging swinge VBG 35024 423 70 them -PRON- PRP 35024 423 71 in in IN 35024 423 72 London London NNP 35024 423 73 and and CC 35024 423 74 Paris Paris NNP 35024 423 75 . . . 35024 424 1 " " `` 35024 424 2 [ [ -LRB- 35024 424 3 57 57 CD 35024 424 4 ] ] -RRB- 35024 424 5 Charles Charles NNP 35024 424 6 S. S. NNP 35024 424 7 Peirce Peirce NNP 35024 424 8 , , , 35024 424 9 assistant assistant NN 35024 424 10 , , , 35024 424 11 U.S. U.S. NNP 35024 424 12 Coast Coast NNP 35024 424 13 Survey Survey NNP 35024 424 14 , , , 35024 424 15 sailed sail VBD 35024 424 16 for for IN 35024 424 17 Europe Europe NNP 35024 424 18 on on IN 35024 424 19 April April NNP 35024 424 20 3 3 CD 35024 424 21 , , , 35024 424 22 1875 1875 CD 35024 424 23 , , , 35024 424 24 on on IN 35024 424 25 his -PRON- PRP$ 35024 424 26 mission mission NN 35024 424 27 to to TO 35024 424 28 obtain obtain VB 35024 424 29 the the DT 35024 424 30 Repsold Repsold NNP 35024 424 31 - - HYPH 35024 424 32 Bessel Bessel NNP 35024 424 33 reversible reversible NN 35024 424 34 pendulum pendulum NN 35024 424 35 ordered order VBN 35024 424 36 for for IN 35024 424 37 the the DT 35024 424 38 Survey Survey NNP 35024 424 39 and and CC 35024 424 40 to to TO 35024 424 41 learn learn VB 35024 424 42 the the DT 35024 424 43 methods method NNS 35024 424 44 of of IN 35024 424 45 using use VBG 35024 424 46 it -PRON- PRP 35024 424 47 for for IN 35024 424 48 the the DT 35024 424 49 determination determination NN 35024 424 50 of of IN 35024 424 51 gravity gravity NN 35024 424 52 . . . 35024 425 1 In in IN 35024 425 2 England England NNP 35024 425 3 , , , 35024 425 4 he -PRON- PRP 35024 425 5 conferred confer VBD 35024 425 6 with with IN 35024 425 7 Maxwell Maxwell NNP 35024 425 8 , , , 35024 425 9 Stokes Stokes NNP 35024 425 10 , , , 35024 425 11 and and CC 35024 425 12 Airy Airy NNP 35024 425 13 concerning concern VBG 35024 425 14 the the DT 35024 425 15 theory theory NN 35024 425 16 and and CC 35024 425 17 practice practice NN 35024 425 18 of of IN 35024 425 19 research research NN 35024 425 20 with with IN 35024 425 21 pendulums pendulum NNS 35024 425 22 . . . 35024 426 1 In in IN 35024 426 2 May May NNP 35024 426 3 , , , 35024 426 4 he -PRON- PRP 35024 426 5 continued continue VBD 35024 426 6 on on IN 35024 426 7 to to IN 35024 426 8 Hamburg Hamburg NNP 35024 426 9 and and CC 35024 426 10 obtained obtain VBD 35024 426 11 delivery delivery NN 35024 426 12 from from IN 35024 426 13 the the DT 35024 426 14 Repsolds Repsolds NNP 35024 426 15 of of IN 35024 426 16 the the DT 35024 426 17 pendulum pendulum NN 35024 426 18 for for IN 35024 426 19 the the DT 35024 426 20 Coast Coast NNP 35024 426 21 Survey Survey NNP 35024 426 22 ( ( -LRB- 35024 426 23 fig fig NN 35024 426 24 . . . 35024 427 1 17 17 CD 35024 427 2 ) ) -RRB- 35024 427 3 . . . 35024 428 1 Peirce Peirce NNP 35024 428 2 then then RB 35024 428 3 went go VBD 35024 428 4 to to IN 35024 428 5 Berlin Berlin NNP 35024 428 6 and and CC 35024 428 7 conferred confer VBN 35024 428 8 with with IN 35024 428 9 Gen. Gen. NNP 35024 428 10 Baeyer Baeyer NNP 35024 428 11 , , , 35024 428 12 who who WP 35024 428 13 expressed express VBD 35024 428 14 doubts doubt NNS 35024 428 15 of of IN 35024 428 16 the the DT 35024 428 17 stability stability NN 35024 428 18 of of IN 35024 428 19 the the DT 35024 428 20 Repsold Repsold NNP 35024 428 21 stand stand NN 35024 428 22 for for IN 35024 428 23 the the DT 35024 428 24 pendulum pendulum NN 35024 428 25 . . . 35024 429 1 Peirce Peirce NNP 35024 429 2 next next RB 35024 429 3 went go VBD 35024 429 4 to to IN 35024 429 5 Geneva Geneva NNP 35024 429 6 , , , 35024 429 7 where where WRB 35024 429 8 , , , 35024 429 9 under under IN 35024 429 10 arrangements arrangement NNS 35024 429 11 with with IN 35024 429 12 Prof. Prof. NNP 35024 429 13 Plantamour Plantamour NNP 35024 429 14 , , , 35024 429 15 he -PRON- PRP 35024 429 16 swung swing VBD 35024 429 17 the the DT 35024 429 18 newly newly RB 35024 429 19 acquired acquire VBN 35024 429 20 pendulum pendulum NN 35024 429 21 at at IN 35024 429 22 the the DT 35024 429 23 observatory observatory NN 35024 429 24 . . . 35024 430 1 [ [ -LRB- 35024 430 2 58 58 CD 35024 430 3 ] ] -RRB- 35024 430 4 In in IN 35024 430 5 view view NN 35024 430 6 of of IN 35024 430 7 Baeyer Baeyer NNP 35024 430 8 's 's POS 35024 430 9 expressed express VBD 35024 430 10 doubts doubt NNS 35024 430 11 of of IN 35024 430 12 the the DT 35024 430 13 rigidity rigidity NN 35024 430 14 of of IN 35024 430 15 the the DT 35024 430 16 Repsold Repsold NNP 35024 430 17 stand stand NN 35024 430 18 , , , 35024 430 19 Peirce Peirce NNP 35024 430 20 performed perform VBD 35024 430 21 experiments experiment NNS 35024 430 22 to to TO 35024 430 23 measure measure VB 35024 430 24 the the DT 35024 430 25 flexure flexure NN 35024 430 26 of of IN 35024 430 27 the the DT 35024 430 28 stand stand NN 35024 430 29 caused cause VBN 35024 430 30 by by IN 35024 430 31 the the DT 35024 430 32 oscillations oscillation NNS 35024 430 33 of of IN 35024 430 34 the the DT 35024 430 35 pendulum pendulum NN 35024 430 36 . . . 35024 431 1 His -PRON- PRP$ 35024 431 2 method method NN 35024 431 3 was be VBD 35024 431 4 to to TO 35024 431 5 set set VB 35024 431 6 up up RP 35024 431 7 a a DT 35024 431 8 micrometer micrometer NN 35024 431 9 in in IN 35024 431 10 front front NN 35024 431 11 of of IN 35024 431 12 the the DT 35024 431 13 pendulum pendulum NN 35024 431 14 stand stand NN 35024 431 15 and and CC 35024 431 16 , , , 35024 431 17 with with IN 35024 431 18 a a DT 35024 431 19 microscope microscope NN 35024 431 20 , , , 35024 431 21 to to TO 35024 431 22 measure measure VB 35024 431 23 the the DT 35024 431 24 displacement displacement NN 35024 431 25 caused cause VBN 35024 431 26 by by IN 35024 431 27 a a DT 35024 431 28 weight weight NN 35024 431 29 passing pass VBG 35024 431 30 over over IN 35024 431 31 a a DT 35024 431 32 pulley pulley NN 35024 431 33 , , , 35024 431 34 the the DT 35024 431 35 friction friction NN 35024 431 36 of of IN 35024 431 37 which which WDT 35024 431 38 had have VBD 35024 431 39 been be VBN 35024 431 40 determined determine VBN 35024 431 41 . . . 35024 432 1 Peirce peirce NN 35024 432 2 calculated calculate VBD 35024 432 3 the the DT 35024 432 4 correction correction NN 35024 432 5 to to TO 35024 432 6 be be VB 35024 432 7 applied apply VBN 35024 432 8 to to IN 35024 432 9 the the DT 35024 432 10 length length NN 35024 432 11 of of IN 35024 432 12 the the DT 35024 432 13 seconds second NNS 35024 432 14 pendulum pendulum NN 35024 432 15 -- -- : 35024 432 16 on on IN 35024 432 17 account account NN 35024 432 18 of of IN 35024 432 19 the the DT 35024 432 20 swaying swaying NN 35024 432 21 of of IN 35024 432 22 the the DT 35024 432 23 stand stand NN 35024 432 24 during during IN 35024 432 25 the the DT 35024 432 26 swings swing NNS 35024 432 27 of of IN 35024 432 28 the the DT 35024 432 29 pendulum pendulum NN 35024 432 30 -- -- : 35024 432 31 to to TO 35024 432 32 amount amount VB 35024 432 33 to to IN 35024 432 34 over over IN 35024 432 35 0.2 0.2 CD 35024 432 36 mm mm NNS 35024 432 37 . . . 35024 433 1 Although although IN 35024 433 2 Peirce Peirce NNP 35024 433 3 's 's POS 35024 433 4 measurements measurement NNS 35024 433 5 of of IN 35024 433 6 flexure flexure NN 35024 433 7 in in IN 35024 433 8 Geneva Geneva NNP 35024 433 9 were be VBD 35024 433 10 not not RB 35024 433 11 as as RB 35024 433 12 precise precise JJ 35024 433 13 as as IN 35024 433 14 his -PRON- PRP$ 35024 433 15 later later JJ 35024 433 16 measurements measurement NNS 35024 433 17 , , , 35024 433 18 he -PRON- PRP 35024 433 19 believed believe VBD 35024 433 20 that that IN 35024 433 21 failure failure NN 35024 433 22 to to TO 35024 433 23 correct correct VB 35024 433 24 for for IN 35024 433 25 flexure flexure NN 35024 433 26 of of IN 35024 433 27 the the DT 35024 433 28 stand stand NN 35024 433 29 in in IN 35024 433 30 determinations determination NNS 35024 433 31 previously previously RB 35024 433 32 made make VBN 35024 433 33 with with IN 35024 433 34 Repsold Repsold NNP 35024 433 35 pendulums pendulum NNS 35024 433 36 was be VBD 35024 433 37 responsible responsible JJ 35024 433 38 for for IN 35024 433 39 appreciable appreciable JJ 35024 433 40 errors error NNS 35024 433 41 in in IN 35024 433 42 reported report VBN 35024 433 43 values value NNS 35024 433 44 of of IN 35024 433 45 the the DT 35024 433 46 length length NN 35024 433 47 of of IN 35024 433 48 the the DT 35024 433 49 seconds second NNS 35024 433 50 pendulum pendulum NN 35024 433 51 . . . 35024 434 1 The the DT 35024 434 2 Permanent Permanent NNP 35024 434 3 Commission Commission NNP 35024 434 4 of of IN 35024 434 5 _ _ NNP 35024 434 6 Die Die NNP 35024 434 7 Europäische Europäische NNP 35024 434 8 Gradmessung Gradmessung NNP 35024 434 9 _ _ NNP 35024 434 10 met meet VBD 35024 434 11 in in IN 35024 434 12 Paris Paris NNP 35024 434 13 , , , 35024 434 14 September September NNP 35024 434 15 20 20 CD 35024 434 16 - - SYM 35024 434 17 29 29 CD 35024 434 18 , , , 35024 434 19 1875 1875 CD 35024 434 20 . . . 35024 435 1 In in IN 35024 435 2 conjunction conjunction NN 35024 435 3 with with IN 35024 435 4 this this DT 35024 435 5 meeting meeting NN 35024 435 6 , , , 35024 435 7 there there EX 35024 435 8 was be VBD 35024 435 9 held hold VBN 35024 435 10 on on IN 35024 435 11 September September NNP 35024 435 12 21 21 CD 35024 435 13 a a DT 35024 435 14 meeting meeting NN 35024 435 15 of of IN 35024 435 16 the the DT 35024 435 17 Special Special NNP 35024 435 18 Commission Commission NNP 35024 435 19 on on IN 35024 435 20 the the DT 35024 435 21 Pendulum Pendulum NNP 35024 435 22 . . . 35024 436 1 The the DT 35024 436 2 basis basis NN 35024 436 3 of of IN 35024 436 4 the the DT 35024 436 5 discussion discussion NN 35024 436 6 by by IN 35024 436 7 the the DT 35024 436 8 Special Special NNP 35024 436 9 Commission Commission NNP 35024 436 10 was be VBD 35024 436 11 provided provide VBN 35024 436 12 by by IN 35024 436 13 reports report NNS 35024 436 14 which which WDT 35024 436 15 had have VBD 35024 436 16 been be VBN 35024 436 17 submitted submit VBN 35024 436 18 in in IN 35024 436 19 response response NN 35024 436 20 to to IN 35024 436 21 a a DT 35024 436 22 circular circular JJ 35024 436 23 sent send VBN 35024 436 24 out out RP 35024 436 25 by by IN 35024 436 26 the the DT 35024 436 27 Central Central NNP 35024 436 28 Bureau Bureau NNP 35024 436 29 to to IN 35024 436 30 the the DT 35024 436 31 members member NNS 35024 436 32 on on IN 35024 436 33 February February NNP 35024 436 34 26 26 CD 35024 436 35 , , , 35024 436 36 1874 1874 CD 35024 436 37 . . . 35024 437 1 [ [ -LRB- 35024 437 2 59 59 CD 35024 437 3 ] ] -RRB- 35024 437 4 Gen. Gen. NNP 35024 437 5 Baeyer Baeyer NNP 35024 437 6 stated state VBD 35024 437 7 that that IN 35024 437 8 the the DT 35024 437 9 distance distance NN 35024 437 10 of of IN 35024 437 11 1 1 CD 35024 437 12 meter meter NN 35024 437 13 between between IN 35024 437 14 the the DT 35024 437 15 knife knife NN 35024 437 16 edges edge NNS 35024 437 17 of of IN 35024 437 18 the the DT 35024 437 19 Prussian Prussian NNP 35024 437 20 Repsold Repsold NNP 35024 437 21 - - HYPH 35024 437 22 Bessel Bessel NNP 35024 437 23 pendulum pendulum NN 35024 437 24 made make VBD 35024 437 25 it -PRON- PRP 35024 437 26 unwieldy unwieldy JJ 35024 437 27 and and CC 35024 437 28 unsuited unsuited JJ 35024 437 29 for for IN 35024 437 30 transport transport NN 35024 437 31 . . . 35024 438 1 He -PRON- PRP 35024 438 2 declared declare VBD 35024 438 3 that that IN 35024 438 4 the the DT 35024 438 5 instability instability NN 35024 438 6 of of IN 35024 438 7 the the DT 35024 438 8 stand stand NN 35024 438 9 also also RB 35024 438 10 was be VBD 35024 438 11 a a DT 35024 438 12 source source NN 35024 438 13 of of IN 35024 438 14 error error NN 35024 438 15 . . . 35024 439 1 Accordingly accordingly RB 35024 439 2 , , , 35024 439 3 Gen. Gen. NNP 35024 439 4 Baeyer Baeyer NNP 35024 439 5 expressed express VBD 35024 439 6 the the DT 35024 439 7 opinion opinion NN 35024 439 8 that that IN 35024 439 9 absolute absolute JJ 35024 439 10 determinations determination NNS 35024 439 11 of of IN 35024 439 12 gravity gravity NN 35024 439 13 should should MD 35024 439 14 be be VB 35024 439 15 made make VBN 35024 439 16 at at IN 35024 439 17 a a DT 35024 439 18 control control NN 35024 439 19 station station NN 35024 439 20 by by IN 35024 439 21 a a DT 35024 439 22 reversible reversible JJ 35024 439 23 pendulum pendulum NN 35024 439 24 hung hang VBD 35024 439 25 on on IN 35024 439 26 a a DT 35024 439 27 permanent permanent JJ 35024 439 28 , , , 35024 439 29 and and CC 35024 439 30 therefore therefore RB 35024 439 31 stable stable JJ 35024 439 32 stand stand NN 35024 439 33 , , , 35024 439 34 and and CC 35024 439 35 he -PRON- PRP 35024 439 36 said say VBD 35024 439 37 that that IN 35024 439 38 relative relative JJ 35024 439 39 values value NNS 35024 439 40 of of IN 35024 439 41 gravity gravity NN 35024 439 42 with with IN 35024 439 43 respect respect NN 35024 439 44 to to IN 35024 439 45 the the DT 35024 439 46 control control NN 35024 439 47 station station NN 35024 439 48 should should MD 35024 439 49 be be VB 35024 439 50 obtained obtain VBN 35024 439 51 in in IN 35024 439 52 the the DT 35024 439 53 field field NN 35024 439 54 by by IN 35024 439 55 means mean NNS 35024 439 56 of of IN 35024 439 57 a a DT 35024 439 58 Bouguer Bouguer NNP 35024 439 59 invariable invariable JJ 35024 439 60 pendulum pendulum NN 35024 439 61 . . . 35024 440 1 Dr. Dr. NNP 35024 440 2 Bruhns Bruhns NNP 35024 440 3 and and CC 35024 440 4 Dr. Dr. NNP 35024 440 5 Peters Peters NNP 35024 440 6 agreed agree VBD 35024 440 7 with with IN 35024 440 8 Gen. Gen. NNP 35024 440 9 Baeyer Baeyer NNP 35024 440 10 ; ; : 35024 440 11 however however RB 35024 440 12 , , , 35024 440 13 the the DT 35024 440 14 Swiss swiss JJ 35024 440 15 investigators investigator NNS 35024 440 16 , , , 35024 440 17 Prof. Prof. NNP 35024 440 18 Plantamour Plantamour NNP 35024 440 19 and and CC 35024 440 20 Dr. Dr. NNP 35024 440 21 Hirsch Hirsch NNP 35024 440 22 reported report VBD 35024 440 23 in in IN 35024 440 24 defense defense NN 35024 440 25 of of IN 35024 440 26 the the DT 35024 440 27 reversible reversible JJ 35024 440 28 pendulum pendulum NN 35024 440 29 as as IN 35024 440 30 a a DT 35024 440 31 field field NN 35024 440 32 instrument instrument NN 35024 440 33 , , , 35024 440 34 as as IN 35024 440 35 did do VBD 35024 440 36 Prof. Prof. NNP 35024 440 37 von von NNP 35024 440 38 Oppolzer Oppolzer NNP 35024 440 39 of of IN 35024 440 40 Vienna Vienna NNP 35024 440 41 . . . 35024 441 1 The the DT 35024 441 2 circumstance circumstance NN 35024 441 3 that that WDT 35024 441 4 an an DT 35024 441 5 invariable invariable JJ 35024 441 6 pendulum pendulum NN 35024 441 7 is be VBZ 35024 441 8 subject subject JJ 35024 441 9 to to IN 35024 441 10 changes change NNS 35024 441 11 in in IN 35024 441 12 length length NN 35024 441 13 was be VBD 35024 441 14 offered offer VBN 35024 441 15 as as IN 35024 441 16 an an DT 35024 441 17 argument argument NN 35024 441 18 in in IN 35024 441 19 favor favor NN 35024 441 20 of of IN 35024 441 21 the the DT 35024 441 22 reversible reversible JJ 35024 441 23 pendulum pendulum NN 35024 441 24 as as IN 35024 441 25 a a DT 35024 441 26 field field NN 35024 441 27 instrument instrument NN 35024 441 28 . . . 35024 442 1 Peirce Peirce NNP 35024 442 2 was be VBD 35024 442 3 present present JJ 35024 442 4 during during IN 35024 442 5 these these DT 35024 442 6 discussions discussion NNS 35024 442 7 by by IN 35024 442 8 the the DT 35024 442 9 members member NNS 35024 442 10 of of IN 35024 442 11 the the DT 35024 442 12 Special Special NNP 35024 442 13 Commission Commission NNP 35024 442 14 , , , 35024 442 15 and and CC 35024 442 16 he -PRON- PRP 35024 442 17 reported report VBD 35024 442 18 that that IN 35024 442 19 his -PRON- PRP$ 35024 442 20 experiments experiment NNS 35024 442 21 at at IN 35024 442 22 Geneva Geneva NNP 35024 442 23 demonstrated demonstrate VBD 35024 442 24 that that IN 35024 442 25 the the DT 35024 442 26 oscillations oscillation NNS 35024 442 27 of of IN 35024 442 28 the the DT 35024 442 29 pendulum pendulum NN 35024 442 30 called call VBD 35024 442 31 forth forth RB 35024 442 32 a a DT 35024 442 33 flexure flexure NN 35024 442 34 of of IN 35024 442 35 the the DT 35024 442 36 support support NN 35024 442 37 which which WDT 35024 442 38 hitherto hitherto NNP 35024 442 39 had have VBD 35024 442 40 been be VBN 35024 442 41 neglected neglect VBN 35024 442 42 . . . 35024 443 1 The the DT 35024 443 2 observers observer NNS 35024 443 3 who who WP 35024 443 4 used use VBD 35024 443 5 the the DT 35024 443 6 Swiss swiss JJ 35024 443 7 and and CC 35024 443 8 Austrian Austrian NNP 35024 443 9 Repsold Repsold NNP 35024 443 10 pendulums pendulum NNS 35024 443 11 contended contend VBD 35024 443 12 , , , 35024 443 13 in in IN 35024 443 14 opposition opposition NN 35024 443 15 to to IN 35024 443 16 Peirce Peirce NNP 35024 443 17 , , , 35024 443 18 that that IN 35024 443 19 the the DT 35024 443 20 Repsold Repsold NNP 35024 443 21 stand stand NN 35024 443 22 was be VBD 35024 443 23 stable stable JJ 35024 443 24 . . . 35024 444 1 The the DT 35024 444 2 outcome outcome NN 35024 444 3 of of IN 35024 444 4 these these DT 35024 444 5 discussions discussion NNS 35024 444 6 was be VBD 35024 444 7 that that IN 35024 444 8 the the DT 35024 444 9 Special Special NNP 35024 444 10 Commission Commission NNP 35024 444 11 reported report VBD 35024 444 12 to to IN 35024 444 13 the the DT 35024 444 14 Permanent Permanent NNP 35024 444 15 Commission Commission NNP 35024 444 16 that that IN 35024 444 17 the the DT 35024 444 18 Repsold Repsold NNP 35024 444 19 - - HYPH 35024 444 20 Bessel Bessel NNP 35024 444 21 reversible reversible NN 35024 444 22 pendulum pendulum NN 35024 444 23 , , , 35024 444 24 except except IN 35024 444 25 for for IN 35024 444 26 some some DT 35024 444 27 small small JJ 35024 444 28 changes change NNS 35024 444 29 , , , 35024 444 30 satisfied satisfy VBD 35024 444 31 all all DT 35024 444 32 requirements requirement NNS 35024 444 33 for for IN 35024 444 34 the the DT 35024 444 35 determination determination NN 35024 444 36 of of IN 35024 444 37 gravity gravity NN 35024 444 38 . . . 35024 445 1 The the DT 35024 445 2 Special Special NNP 35024 445 3 Commission Commission NNP 35024 445 4 proposed propose VBD 35024 445 5 that that IN 35024 445 6 the the DT 35024 445 7 Repsold Repsold NNP 35024 445 8 pendulums pendulum NNS 35024 445 9 of of IN 35024 445 10 the the DT 35024 445 11 several several JJ 35024 445 12 states state NNS 35024 445 13 be be VB 35024 445 14 swung swing VBN 35024 445 15 at at IN 35024 445 16 the the DT 35024 445 17 Prussian Prussian NNP 35024 445 18 Eichungsamt Eichungsamt NNP 35024 445 19 in in IN 35024 445 20 Berlin Berlin NNP 35024 445 21 where where WRB 35024 445 22 , , , 35024 445 23 as as IN 35024 445 24 Peirce Peirce NNP 35024 445 25 pointed point VBD 35024 445 26 out out RP 35024 445 27 , , , 35024 445 28 Bessel Bessel NNP 35024 445 29 had have VBD 35024 445 30 made make VBN 35024 445 31 his -PRON- PRP$ 35024 445 32 determination determination NN 35024 445 33 of of IN 35024 445 34 the the DT 35024 445 35 intensity intensity NN 35024 445 36 of of IN 35024 445 37 gravity gravity NN 35024 445 38 with with IN 35024 445 39 a a DT 35024 445 40 ball ball NN 35024 445 41 pendulum pendulum NN 35024 445 42 in in IN 35024 445 43 1835 1835 CD 35024 445 44 . . . 35024 446 1 Peirce Peirce NNP 35024 446 2 was be VBD 35024 446 3 encouraged encourage VBN 35024 446 4 to to TO 35024 446 5 swing swing VB 35024 446 6 the the DT 35024 446 7 Coast Coast NNP 35024 446 8 Survey Survey NNP 35024 446 9 reversible reversible NN 35024 446 10 pendulum pendulum NN 35024 446 11 at at IN 35024 446 12 the the DT 35024 446 13 stations station NNS 35024 446 14 in in IN 35024 446 15 France France NNP 35024 446 16 , , , 35024 446 17 England England NNP 35024 446 18 , , , 35024 446 19 and and CC 35024 446 20 Germany Germany NNP 35024 446 21 where where WRB 35024 446 22 Borda Borda NNP 35024 446 23 and and CC 35024 446 24 Cassini Cassini NNP 35024 446 25 , , , 35024 446 26 Kater Kater NNP 35024 446 27 , , , 35024 446 28 and and CC 35024 446 29 Bessel Bessel NNP 35024 446 30 , , , 35024 446 31 respectively respectively RB 35024 446 32 , , , 35024 446 33 had have VBD 35024 446 34 made make VBN 35024 446 35 historic historic JJ 35024 446 36 determinations determination NNS 35024 446 37 . . . 35024 447 1 The the DT 35024 447 2 Permanent Permanent NNP 35024 447 3 Commission Commission NNP 35024 447 4 , , , 35024 447 5 in in IN 35024 447 6 whose whose WP$ 35024 447 7 sessions session NNS 35024 447 8 Peirce Peirce NNP 35024 447 9 also also RB 35024 447 10 participated participate VBD 35024 447 11 , , , 35024 447 12 by by IN 35024 447 13 resolutions resolution NNS 35024 447 14 adopted adopt VBD 35024 447 15 the the DT 35024 447 16 report report NN 35024 447 17 of of IN 35024 447 18 the the DT 35024 447 19 Special Special NNP 35024 447 20 Commission Commission NNP 35024 447 21 on on IN 35024 447 22 the the DT 35024 447 23 Pendulum Pendulum NNP 35024 447 24 . . . 35024 448 1 [ [ -LRB- 35024 448 2 60 60 CD 35024 448 3 ] ] -RRB- 35024 448 4 During during IN 35024 448 5 the the DT 35024 448 6 months month NNS 35024 448 7 of of IN 35024 448 8 January January NNP 35024 448 9 and and CC 35024 448 10 February February NNP 35024 448 11 1876 1876 CD 35024 448 12 , , , 35024 448 13 Peirce Peirce NNP 35024 448 14 conducted conduct VBD 35024 448 15 observations observation NNS 35024 448 16 in in IN 35024 448 17 the the DT 35024 448 18 Grande Grande NNP 35024 448 19 Salle Salle NNP 35024 448 20 du du NNP 35024 448 21 Meridien Meridien NNP 35024 448 22 at at IN 35024 448 23 the the DT 35024 448 24 observatory observatory NN 35024 448 25 in in IN 35024 448 26 Paris Paris NNP 35024 448 27 where where WRB 35024 448 28 Borda Borda NNP 35024 448 29 , , , 35024 448 30 Biot Biot NNP 35024 448 31 , , , 35024 448 32 and and CC 35024 448 33 Capt Capt NNP 35024 448 34 . . . 35024 449 1 Edward Edward NNP 35024 449 2 Sabine Sabine NNP 35024 449 3 had have VBD 35024 449 4 swung swing VBN 35024 449 5 pendulums pendulum NNS 35024 449 6 early early RB 35024 449 7 in in IN 35024 449 8 the the DT 35024 449 9 19th 19th JJ 35024 449 10 century century NN 35024 449 11 . . . 35024 450 1 He -PRON- PRP 35024 450 2 conducted conduct VBD 35024 450 3 observations observation NNS 35024 450 4 in in IN 35024 450 5 Berlin Berlin NNP 35024 450 6 from from IN 35024 450 7 April April NNP 35024 450 8 to to IN 35024 450 9 June June NNP 35024 450 10 1876 1876 CD 35024 450 11 and and CC 35024 450 12 , , , 35024 450 13 by by IN 35024 450 14 experiment experiment NN 35024 450 15 , , , 35024 450 16 determined determine VBD 35024 450 17 the the DT 35024 450 18 correction correction NN 35024 450 19 for for IN 35024 450 20 flexure flexure NN 35024 450 21 to to TO 35024 450 22 be be VB 35024 450 23 applied apply VBN 35024 450 24 to to IN 35024 450 25 the the DT 35024 450 26 value value NN 35024 450 27 of of IN 35024 450 28 gravity gravity NN 35024 450 29 previously previously RB 35024 450 30 obtained obtain VBN 35024 450 31 with with IN 35024 450 32 the the DT 35024 450 33 Prussian prussian JJ 35024 450 34 instrument instrument NN 35024 450 35 . . . 35024 451 1 Subsequent subsequent JJ 35024 451 2 observations observation NNS 35024 451 3 were be VBD 35024 451 4 made make VBN 35024 451 5 at at IN 35024 451 6 Kew Kew NNP 35024 451 7 . . . 35024 452 1 After after IN 35024 452 2 his -PRON- PRP$ 35024 452 3 return return NN 35024 452 4 to to IN 35024 452 5 the the DT 35024 452 6 United United NNP 35024 452 7 States States NNP 35024 452 8 on on IN 35024 452 9 August August NNP 35024 452 10 26 26 CD 35024 452 11 , , , 35024 452 12 1876 1876 CD 35024 452 13 , , , 35024 452 14 Peirce Peirce NNP 35024 452 15 conducted conduct VBD 35024 452 16 experiments experiment NNS 35024 452 17 at at IN 35024 452 18 the the DT 35024 452 19 Stevens Stevens NNP 35024 452 20 Institute Institute NNP 35024 452 21 in in IN 35024 452 22 Hoboken Hoboken NNP 35024 452 23 , , , 35024 452 24 New New NNP 35024 452 25 Jersey Jersey NNP 35024 452 26 , , , 35024 452 27 where where WRB 35024 452 28 he -PRON- PRP 35024 452 29 made make VBD 35024 452 30 careful careful JJ 35024 452 31 measurements measurement NNS 35024 452 32 of of IN 35024 452 33 the the DT 35024 452 34 flexure flexure NN 35024 452 35 of of IN 35024 452 36 the the DT 35024 452 37 stand stand NN 35024 452 38 by by IN 35024 452 39 statical statical JJ 35024 452 40 and and CC 35024 452 41 dynamical dynamical JJ 35024 452 42 methods method NNS 35024 452 43 . . . 35024 453 1 In in IN 35024 453 2 Geneva Geneva NNP 35024 453 3 , , , 35024 453 4 he -PRON- PRP 35024 453 5 had have VBD 35024 453 6 secured secure VBN 35024 453 7 the the DT 35024 453 8 construction construction NN 35024 453 9 of of IN 35024 453 10 a a DT 35024 453 11 vacuum vacuum NN 35024 453 12 chamber chamber NN 35024 453 13 in in IN 35024 453 14 which which WDT 35024 453 15 the the DT 35024 453 16 pendulum pendulum NN 35024 453 17 could could MD 35024 453 18 be be VB 35024 453 19 swung swing VBN 35024 453 20 on on IN 35024 453 21 a a DT 35024 453 22 support support NN 35024 453 23 which which WDT 35024 453 24 he -PRON- PRP 35024 453 25 called call VBD 35024 453 26 the the DT 35024 453 27 Geneva Geneva NNP 35024 453 28 support support NN 35024 453 29 . . . 35024 454 1 At at IN 35024 454 2 the the DT 35024 454 3 Stevens Stevens NNP 35024 454 4 Institute Institute NNP 35024 454 5 , , , 35024 454 6 Peirce Peirce NNP 35024 454 7 swung swing VBD 35024 454 8 the the DT 35024 454 9 Repsold Repsold NNP 35024 454 10 - - HYPH 35024 454 11 Bessel Bessel NNP 35024 454 12 pendulum pendulum NN 35024 454 13 on on IN 35024 454 14 the the DT 35024 454 15 Geneva Geneva NNP 35024 454 16 support support NN 35024 454 17 and and CC 35024 454 18 determined determine VBD 35024 454 19 the the DT 35024 454 20 effect effect NN 35024 454 21 of of IN 35024 454 22 different different JJ 35024 454 23 pressures pressure NNS 35024 454 24 and and CC 35024 454 25 temperatures temperature NNS 35024 454 26 on on IN 35024 454 27 the the DT 35024 454 28 period period NN 35024 454 29 of of IN 35024 454 30 oscillation oscillation NN 35024 454 31 of of IN 35024 454 32 the the DT 35024 454 33 pendulum pendulum NN 35024 454 34 . . . 35024 455 1 These these DT 35024 455 2 experiments experiment NNS 35024 455 3 continued continue VBD 35024 455 4 into into IN 35024 455 5 1878 1878 CD 35024 455 6 . . . 35024 456 1 [ [ -LRB- 35024 456 2 61 61 CD 35024 456 3 ] ] -RRB- 35024 456 4 Meanwhile meanwhile RB 35024 456 5 , , , 35024 456 6 the the DT 35024 456 7 Permanent Permanent NNP 35024 456 8 Commission Commission NNP 35024 456 9 met meet VBD 35024 456 10 October October NNP 35024 456 11 5 5 CD 35024 456 12 - - SYM 35024 456 13 10 10 CD 35024 456 14 , , , 35024 456 15 1876 1876 CD 35024 456 16 , , , 35024 456 17 in in IN 35024 456 18 Brussels Brussels NNP 35024 456 19 and and CC 35024 456 20 continued continue VBD 35024 456 21 the the DT 35024 456 22 discussion discussion NN 35024 456 23 of of IN 35024 456 24 the the DT 35024 456 25 pendulum pendulum NN 35024 456 26 . . . 35024 457 1 [ [ -LRB- 35024 457 2 62 62 CD 35024 457 3 ] ] -RRB- 35024 457 4 Gen. Gen. NNP 35024 457 5 Baeyer Baeyer NNP 35024 457 6 reported report VBD 35024 457 7 on on IN 35024 457 8 Peirce Peirce NNP 35024 457 9 's 's POS 35024 457 10 experiments experiment NNS 35024 457 11 in in IN 35024 457 12 Berlin Berlin NNP 35024 457 13 to to TO 35024 457 14 determine determine VB 35024 457 15 the the DT 35024 457 16 flexure flexure NN 35024 457 17 of of IN 35024 457 18 the the DT 35024 457 19 stand stand NN 35024 457 20 . . . 35024 458 1 The the DT 35024 458 2 difference difference NN 35024 458 3 of of IN 35024 458 4 0.18 0.18 CD 35024 458 5 mm mm NNS 35024 458 6 . . . 35024 459 1 in in IN 35024 459 2 the the DT 35024 459 3 lengths length NNS 35024 459 4 of of IN 35024 459 5 the the DT 35024 459 6 seconds second NNS 35024 459 7 pendulum pendulum NN 35024 459 8 as as IN 35024 459 9 determined determine VBN 35024 459 10 by by IN 35024 459 11 Bessel Bessel NNP 35024 459 12 and and CC 35024 459 13 as as IN 35024 459 14 determined determine VBN 35024 459 15 by by IN 35024 459 16 the the DT 35024 459 17 Repsold Repsold NNP 35024 459 18 instrument instrument NN 35024 459 19 agreed agree VBD 35024 459 20 with with IN 35024 459 21 Peirce Peirce NNP 35024 459 22 's 's POS 35024 459 23 estimate estimate NN 35024 459 24 of of IN 35024 459 25 error error NN 35024 459 26 caused cause VBN 35024 459 27 by by IN 35024 459 28 neglect neglect NN 35024 459 29 of of IN 35024 459 30 flexure flexure NN 35024 459 31 of of IN 35024 459 32 the the DT 35024 459 33 Repsold Repsold NNP 35024 459 34 stand stand NN 35024 459 35 . . . 35024 460 1 Dr. Dr. NNP 35024 460 2 Hirsch Hirsch NNP 35024 460 3 , , , 35024 460 4 speaking speak VBG 35024 460 5 for for IN 35024 460 6 the the DT 35024 460 7 Swiss swiss JJ 35024 460 8 survey survey NN 35024 460 9 , , , 35024 460 10 and and CC 35024 460 11 Prof. Prof. NNP 35024 460 12 von von NNP 35024 460 13 Oppolzer Oppolzer NNP 35024 460 14 , , , 35024 460 15 speaking speak VBG 35024 460 16 for for IN 35024 460 17 the the DT 35024 460 18 Austrian austrian JJ 35024 460 19 survey survey NN 35024 460 20 , , , 35024 460 21 contended contend VBD 35024 460 22 , , , 35024 460 23 however however RB 35024 460 24 , , , 35024 460 25 that that IN 35024 460 26 their -PRON- PRP$ 35024 460 27 stands stand NNS 35024 460 28 possessed possessed JJ 35024 460 29 sufficient sufficient JJ 35024 460 30 stability stability NN 35024 460 31 and and CC 35024 460 32 that that IN 35024 460 33 the the DT 35024 460 34 results result NNS 35024 460 35 found find VBN 35024 460 36 by by IN 35024 460 37 Peirce Peirce NNP 35024 460 38 applied apply VBD 35024 460 39 only only RB 35024 460 40 to to IN 35024 460 41 the the DT 35024 460 42 stands stand NNS 35024 460 43 and and CC 35024 460 44 bases basis NNS 35024 460 45 investigated investigate VBN 35024 460 46 by by IN 35024 460 47 him -PRON- PRP 35024 460 48 . . . 35024 461 1 The the DT 35024 461 2 Permanent Permanent NNP 35024 461 3 Commission Commission NNP 35024 461 4 proposed propose VBD 35024 461 5 further further JJ 35024 461 6 study study NN 35024 461 7 of of IN 35024 461 8 the the DT 35024 461 9 pendulum pendulum NN 35024 461 10 . . . 35024 462 1 The the DT 35024 462 2 Fifth Fifth NNP 35024 462 3 General General NNP 35024 462 4 Conference Conference NNP 35024 462 5 of of IN 35024 462 6 _ _ NNP 35024 462 7 Die Die NNP 35024 462 8 Europäische Europäische NNP 35024 462 9 Gradmessung Gradmessung NNP 35024 462 10 _ _ NNP 35024 462 11 was be VBD 35024 462 12 held hold VBN 35024 462 13 from from IN 35024 462 14 September September NNP 35024 462 15 27 27 CD 35024 462 16 to to IN 35024 462 17 October October NNP 35024 462 18 2 2 CD 35024 462 19 , , , 35024 462 20 1877 1877 CD 35024 462 21 , , , 35024 462 22 in in IN 35024 462 23 Stuttgart Stuttgart NNP 35024 462 24 . . . 35024 463 1 [ [ -LRB- 35024 463 2 63 63 CD 35024 463 3 ] ] -RRB- 35024 463 4 Peirce Peirce NNP 35024 463 5 had have VBD 35024 463 6 instructions instruction NNS 35024 463 7 from from IN 35024 463 8 Supt Supt NNP 35024 463 9 . . . 35024 464 1 Patterson Patterson NNP 35024 464 2 of of IN 35024 464 3 the the DT 35024 464 4 U.S. U.S. NNP 35024 464 5 Coast Coast NNP 35024 464 6 Survey Survey NNP 35024 464 7 to to TO 35024 464 8 attend attend VB 35024 464 9 this this DT 35024 464 10 conference conference NN 35024 464 11 , , , 35024 464 12 and and CC 35024 464 13 on on IN 35024 464 14 arrival arrival NN 35024 464 15 presented present VBD 35024 464 16 a a DT 35024 464 17 letter letter NN 35024 464 18 of of IN 35024 464 19 introduction introduction NN 35024 464 20 from from IN 35024 464 21 Patterson Patterson NNP 35024 464 22 requesting request VBG 35024 464 23 that that IN 35024 464 24 he -PRON- PRP 35024 464 25 , , , 35024 464 26 Peirce Peirce NNP 35024 464 27 , , , 35024 464 28 be be VB 35024 464 29 permitted permit VBN 35024 464 30 to to TO 35024 464 31 participate participate VB 35024 464 32 in in IN 35024 464 33 the the DT 35024 464 34 sessions session NNS 35024 464 35 . . . 35024 465 1 Upon upon IN 35024 465 2 invitation invitation NN 35024 465 3 from from IN 35024 465 4 Prof. Prof. NNP 35024 465 5 Plantamour Plantamour NNP 35024 465 6 , , , 35024 465 7 as as IN 35024 465 8 approved approve VBN 35024 465 9 by by IN 35024 465 10 Gen. Gen. NNP 35024 465 11 Ibañez Ibañez NNP 35024 465 12 , , , 35024 465 13 president president NN 35024 465 14 of of IN 35024 465 15 the the DT 35024 465 16 Permanent Permanent NNP 35024 465 17 Commission Commission NNP 35024 465 18 , , , 35024 465 19 Peirce Peirce NNP 35024 465 20 had have VBD 35024 465 21 sent send VBN 35024 465 22 on on IN 35024 465 23 July July NNP 35024 465 24 13 13 CD 35024 465 25 , , , 35024 465 26 1877 1877 CD 35024 465 27 , , , 35024 465 28 from from IN 35024 465 29 New New NNP 35024 465 30 York York NNP 35024 465 31 , , , 35024 465 32 the the DT 35024 465 33 manuscript manuscript NN 35024 465 34 of of IN 35024 465 35 a a DT 35024 465 36 memoir memoir NN 35024 465 37 titled title VBN 35024 465 38 " " `` 35024 465 39 De De NNP 35024 465 40 l'Influence l'Influence NNP 35024 465 41 de de NNP 35024 465 42 la la NNP 35024 465 43 flexibilité flexibilité NNP 35024 465 44 du du NNP 35024 465 45 trépied trépie VBN 35024 465 46 sur sur NNP 35024 465 47 l'oscillation l'oscillation NNP 35024 465 48 du du NNP 35024 465 49 pendule pendule NNP 35024 465 50 à à NNP 35024 465 51 réversion réversion NN 35024 465 52 . . . 35024 465 53 " " '' 35024 466 1 This this DT 35024 466 2 memoir memoir NN 35024 466 3 and and CC 35024 466 4 others other NNS 35024 466 5 by by IN 35024 466 6 Cellérier Cellérier NNP 35024 466 7 and and CC 35024 466 8 Plantamour Plantamour NNP 35024 466 9 confirming confirm VBG 35024 466 10 Peirce Peirce NNP 35024 466 11 's 's POS 35024 466 12 work work NN 35024 466 13 were be VBD 35024 466 14 published publish VBN 35024 466 15 as as IN 35024 466 16 appendices appendix NNS 35024 466 17 to to IN 35024 466 18 the the DT 35024 466 19 proceedings proceeding NNS 35024 466 20 of of IN 35024 466 21 the the DT 35024 466 22 conference conference NN 35024 466 23 . . . 35024 467 1 As as IN 35024 467 2 appendices appendix NNS 35024 467 3 to to IN 35024 467 4 Peirce Peirce NNP 35024 467 5 's 's POS 35024 467 6 contribution contribution NN 35024 467 7 were be VBD 35024 467 8 published publish VBN 35024 467 9 also also RB 35024 467 10 two two CD 35024 467 11 notes note NNS 35024 467 12 by by IN 35024 467 13 Prof. Prof. NNP 35024 467 14 von von NNP 35024 467 15 Oppolzer Oppolzer NNP 35024 467 16 . . . 35024 468 1 At at IN 35024 468 2 the the DT 35024 468 3 second second JJ 35024 468 4 session session NN 35024 468 5 on on IN 35024 468 6 September September NNP 35024 468 7 29 29 CD 35024 468 8 , , , 35024 468 9 1877 1877 CD 35024 468 10 , , , 35024 468 11 when when WRB 35024 468 12 Plantamour Plantamour NNP 35024 468 13 reported report VBD 35024 468 14 that that IN 35024 468 15 the the DT 35024 468 16 work work NN 35024 468 17 of of IN 35024 468 18 Hirsch Hirsch NNP 35024 468 19 and and CC 35024 468 20 himself -PRON- PRP 35024 468 21 had have VBD 35024 468 22 confirmed confirm VBN 35024 468 23 experimentally experimentally RB 35024 468 24 the the DT 35024 468 25 independent independent JJ 35024 468 26 theoretical theoretical JJ 35024 468 27 work work NN 35024 468 28 of of IN 35024 468 29 Cellérier Cellérier NNP 35024 468 30 and and CC 35024 468 31 the the DT 35024 468 32 theoretical theoretical JJ 35024 468 33 and and CC 35024 468 34 experimental experimental JJ 35024 468 35 work work NN 35024 468 36 of of IN 35024 468 37 Peirce Peirce NNP 35024 468 38 on on IN 35024 468 39 flexure flexure NN 35024 468 40 , , , 35024 468 41 Peirce Peirce NNP 35024 468 42 described describe VBD 35024 468 43 his -PRON- PRP$ 35024 468 44 Hoboken hoboken JJ 35024 468 45 experiments experiment NNS 35024 468 46 . . . 35024 469 1 During during IN 35024 469 2 the the DT 35024 469 3 discussions discussion NNS 35024 469 4 at at IN 35024 469 5 Stuttgart Stuttgart NNP 35024 469 6 on on IN 35024 469 7 the the DT 35024 469 8 flexure flexure NN 35024 469 9 of of IN 35024 469 10 the the DT 35024 469 11 Repsold Repsold NNP 35024 469 12 stand stand NN 35024 469 13 , , , 35024 469 14 Hervé Hervé NNP 35024 469 15 Faye Faye NNP 35024 469 16 , , , 35024 469 17 president president NN 35024 469 18 of of IN 35024 469 19 the the DT 35024 469 20 Bureau Bureau NNP 35024 469 21 of of IN 35024 469 22 Longitudes Longitudes NNP 35024 469 23 , , , 35024 469 24 Paris Paris NNP 35024 469 25 , , , 35024 469 26 suggested suggest VBD 35024 469 27 that that IN 35024 469 28 the the DT 35024 469 29 swaying swaying NN 35024 469 30 of of IN 35024 469 31 the the DT 35024 469 32 stand stand NN 35024 469 33 during during IN 35024 469 34 oscillations oscillation NNS 35024 469 35 of of IN 35024 469 36 the the DT 35024 469 37 pendulum pendulum NN 35024 469 38 could could MD 35024 469 39 be be VB 35024 469 40 overcome overcome VBN 35024 469 41 by by IN 35024 469 42 the the DT 35024 469 43 suspension suspension NN 35024 469 44 from from IN 35024 469 45 one one CD 35024 469 46 support support NN 35024 469 47 of of IN 35024 469 48 two two CD 35024 469 49 similar similar JJ 35024 469 50 pendulums pendulum NNS 35024 469 51 which which WDT 35024 469 52 oscillated oscillate VBD 35024 469 53 with with IN 35024 469 54 equal equal JJ 35024 469 55 amplitudes amplitude NNS 35024 469 56 and and CC 35024 469 57 in in IN 35024 469 58 opposite opposite JJ 35024 469 59 phases phase NNS 35024 469 60 . . . 35024 470 1 This this DT 35024 470 2 proposal proposal NN 35024 470 3 was be VBD 35024 470 4 criticized criticize VBN 35024 470 5 by by IN 35024 470 6 Dr. Dr. NNP 35024 470 7 Hirsch Hirsch NNP 35024 470 8 , , , 35024 470 9 who who WP 35024 470 10 declared declare VBD 35024 470 11 that that IN 35024 470 12 exact exact JJ 35024 470 13 observation observation NN 35024 470 14 of of IN 35024 470 15 passages passage NNS 35024 470 16 of of IN 35024 470 17 a a DT 35024 470 18 " " `` 35024 470 19 double double JJ 35024 470 20 pendulum pendulum NN 35024 470 21 " " '' 35024 470 22 would would MD 35024 470 23 be be VB 35024 470 24 difficult difficult JJ 35024 470 25 and and CC 35024 470 26 that that IN 35024 470 27 two two CD 35024 470 28 pendulums pendulum NNS 35024 470 29 swinging swinge VBG 35024 470 30 so so RB 35024 470 31 close close RB 35024 470 32 together together RB 35024 470 33 would would MD 35024 470 34 interfere interfere VB 35024 470 35 with with IN 35024 470 36 each each DT 35024 470 37 other other JJ 35024 470 38 . . . 35024 471 1 The the DT 35024 471 2 proposal proposal NN 35024 471 3 of of IN 35024 471 4 the the DT 35024 471 5 double double JJ 35024 471 6 pendulum pendulum NN 35024 471 7 came come VBD 35024 471 8 up up RP 35024 471 9 again again RB 35024 471 10 at at IN 35024 471 11 the the DT 35024 471 12 meeting meeting NN 35024 471 13 of of IN 35024 471 14 the the DT 35024 471 15 Permanent Permanent NNP 35024 471 16 Commission Commission NNP 35024 471 17 at at IN 35024 471 18 Geneva Geneva NNP 35024 471 19 in in IN 35024 471 20 1879 1879 CD 35024 471 21 . . . 35024 472 1 [ [ -LRB- 35024 472 2 64 64 CD 35024 472 3 ] ] -RRB- 35024 472 4 On on IN 35024 472 5 February February NNP 35024 472 6 17 17 CD 35024 472 7 , , , 35024 472 8 1879 1879 CD 35024 472 9 , , , 35024 472 10 Peirce Peirce NNP 35024 472 11 had have VBD 35024 472 12 completed complete VBN 35024 472 13 a a DT 35024 472 14 paper paper NN 35024 472 15 " " `` 35024 472 16 On on IN 35024 472 17 a a DT 35024 472 18 Method method NN 35024 472 19 of of IN 35024 472 20 Swinging Swinging NNP 35024 472 21 Pendulums Pendulums NNPS 35024 472 22 for for IN 35024 472 23 the the DT 35024 472 24 Determination Determination NNP 35024 472 25 of of IN 35024 472 26 Gravity Gravity NNP 35024 472 27 , , , 35024 472 28 Proposed propose VBN 35024 472 29 by by IN 35024 472 30 M. M. NNP 35024 473 1 Faye Faye NNP 35024 473 2 . . . 35024 473 3 " " '' 35024 474 1 In in IN 35024 474 2 this this DT 35024 474 3 paper paper NN 35024 474 4 , , , 35024 474 5 Peirce Peirce NNP 35024 474 6 presented present VBD 35024 474 7 the the DT 35024 474 8 results result NNS 35024 474 9 of of IN 35024 474 10 an an DT 35024 474 11 analytical analytical JJ 35024 474 12 mechanical mechanical JJ 35024 474 13 investigation investigation NN 35024 474 14 of of IN 35024 474 15 Faye Faye NNP 35024 474 16 's 's POS 35024 474 17 proposal proposal NN 35024 474 18 . . . 35024 475 1 Peirce Peirce NNP 35024 475 2 set set VBD 35024 475 3 up up RP 35024 475 4 the the DT 35024 475 5 differential differential JJ 35024 475 6 equations equation NNS 35024 475 7 , , , 35024 475 8 found find VBD 35024 475 9 the the DT 35024 475 10 solutions solution NNS 35024 475 11 , , , 35024 475 12 interpreted interpret VBD 35024 475 13 them -PRON- PRP 35024 475 14 physically physically RB 35024 475 15 , , , 35024 475 16 and and CC 35024 475 17 arrived arrive VBD 35024 475 18 at at IN 35024 475 19 the the DT 35024 475 20 conclusion conclusion NN 35024 475 21 " " `` 35024 475 22 that that IN 35024 475 23 the the DT 35024 475 24 suggestion suggestion NN 35024 475 25 of of IN 35024 475 26 M. M. NNP 35024 475 27 Faye Faye NNP 35024 475 28 ... ... : 35024 475 29 is be VBZ 35024 475 30 as as RB 35024 475 31 sound sound JJ 35024 475 32 as as IN 35024 475 33 it -PRON- PRP 35024 475 34 is be VBZ 35024 475 35 brilliant brilliant JJ 35024 475 36 and and CC 35024 475 37 offers offer VBZ 35024 475 38 some some DT 35024 475 39 peculiar peculiar JJ 35024 475 40 advantages advantage NNS 35024 475 41 over over IN 35024 475 42 the the DT 35024 475 43 existing exist VBG 35024 475 44 method method NN 35024 475 45 of of IN 35024 475 46 swinging swinge VBG 35024 475 47 pendulums pendulum NNS 35024 475 48 . . . 35024 475 49 " " '' 35024 476 1 In in IN 35024 476 2 a a DT 35024 476 3 report report NN 35024 476 4 to to IN 35024 476 5 Supt Supt NNP 35024 476 6 . . . 35024 477 1 Patterson Patterson NNP 35024 477 2 , , , 35024 477 3 dated date VBN 35024 477 4 July July NNP 35024 477 5 1879 1879 CD 35024 477 6 , , , 35024 477 7 Peirce Peirce NNP 35024 477 8 stated state VBD 35024 477 9 : : : 35024 477 10 " " `` 35024 477 11 I -PRON- PRP 35024 477 12 think think VBP 35024 477 13 it -PRON- PRP 35024 477 14 is be VBZ 35024 477 15 important important JJ 35024 477 16 before before IN 35024 477 17 making make VBG 35024 477 18 a a DT 35024 477 19 new new JJ 35024 477 20 pendulum pendulum NN 35024 477 21 apparatus apparatus NN 35024 477 22 to to TO 35024 477 23 experiment experiment VB 35024 477 24 with with IN 35024 477 25 Faye Faye NNP 35024 477 26 's 's POS 35024 477 27 proposed propose VBN 35024 477 28 method method NN 35024 477 29 . . . 35024 478 1 " " `` 35024 478 2 [ [ -LRB- 35024 478 3 65 65 CD 35024 478 4 ] ] -RRB- 35024 478 5 He -PRON- PRP 35024 478 6 wrote write VBD 35024 478 7 further further RB 35024 478 8 : : : 35024 478 9 " " `` 35024 478 10 The the DT 35024 478 11 method method NN 35024 478 12 proves prove VBZ 35024 478 13 to to TO 35024 478 14 be be VB 35024 478 15 perfectly perfectly RB 35024 478 16 sound sound JJ 35024 478 17 in in IN 35024 478 18 theory theory NN 35024 478 19 , , , 35024 478 20 and and CC 35024 478 21 as as IN 35024 478 22 it -PRON- PRP 35024 478 23 would would MD 35024 478 24 greatly greatly RB 35024 478 25 facilitate facilitate VB 35024 478 26 the the DT 35024 478 27 work work NN 35024 478 28 it -PRON- PRP 35024 478 29 is be VBZ 35024 478 30 probably probably RB 35024 478 31 destined destine VBN 35024 478 32 eventually eventually RB 35024 478 33 to to TO 35024 478 34 prevail prevail VB 35024 478 35 . . . 35024 479 1 We -PRON- PRP 35024 479 2 must must MD 35024 479 3 unfortunately unfortunately RB 35024 479 4 leave leave VB 35024 479 5 to to IN 35024 479 6 other other JJ 35024 479 7 surveys survey NNS 35024 479 8 the the DT 35024 479 9 merit merit NN 35024 479 10 of of IN 35024 479 11 practically practically RB 35024 479 12 testing test VBG 35024 479 13 and and CC 35024 479 14 introducing introduce VBG 35024 479 15 the the DT 35024 479 16 new new JJ 35024 479 17 method method NN 35024 479 18 , , , 35024 479 19 as as IN 35024 479 20 our -PRON- PRP$ 35024 479 21 appropriations appropriation NNS 35024 479 22 are be VBP 35024 479 23 insufficient insufficient JJ 35024 479 24 for for IN 35024 479 25 us -PRON- PRP 35024 479 26 to to TO 35024 479 27 maintain maintain VB 35024 479 28 the the DT 35024 479 29 leading lead VBG 35024 479 30 position position NN 35024 479 31 in in IN 35024 479 32 this this DT 35024 479 33 matter matter NN 35024 479 34 , , , 35024 479 35 which which WDT 35024 479 36 we -PRON- PRP 35024 479 37 otherwise otherwise RB 35024 479 38 might may MD 35024 479 39 take take VB 35024 479 40 . . . 35024 479 41 " " '' 35024 480 1 Copies copy NNS 35024 480 2 of of IN 35024 480 3 the the DT 35024 480 4 published publish VBN 35024 480 5 version version NN 35024 480 6 of of IN 35024 480 7 Peirce Peirce NNP 35024 480 8 's 's POS 35024 480 9 remarks remark NNS 35024 480 10 were be VBD 35024 480 11 sent send VBN 35024 480 12 to to IN 35024 480 13 Europe Europe NNP 35024 480 14 . . . 35024 481 1 At at IN 35024 481 2 a a DT 35024 481 3 meeting meeting NN 35024 481 4 of of IN 35024 481 5 the the DT 35024 481 6 Academy Academy NNP 35024 481 7 of of IN 35024 481 8 Sciences Sciences NNPS 35024 481 9 in in IN 35024 481 10 Paris Paris NNP 35024 481 11 on on IN 35024 481 12 September September NNP 35024 481 13 1 1 CD 35024 481 14 , , , 35024 481 15 1879 1879 CD 35024 481 16 , , , 35024 481 17 Faye Faye NNP 35024 481 18 presented present VBD 35024 481 19 a a DT 35024 481 20 report report NN 35024 481 21 on on IN 35024 481 22 Peirce Peirce NNP 35024 481 23 's 's POS 35024 481 24 findings finding NNS 35024 481 25 . . . 35024 482 1 [ [ -LRB- 35024 482 2 66 66 CD 35024 482 3 ] ] -RRB- 35024 482 4 The the DT 35024 482 5 Permanent Permanent NNP 35024 482 6 Commission Commission NNP 35024 482 7 met meet VBD 35024 482 8 September September NNP 35024 482 9 16 16 CD 35024 482 10 - - SYM 35024 482 11 20 20 CD 35024 482 12 , , , 35024 482 13 1879 1879 CD 35024 482 14 , , , 35024 482 15 in in IN 35024 482 16 Geneva Geneva NNP 35024 482 17 . . . 35024 483 1 At at IN 35024 483 2 the the DT 35024 483 3 third third JJ 35024 483 4 session session NN 35024 483 5 on on IN 35024 483 6 September September NNP 35024 483 7 19 19 CD 35024 483 8 , , , 35024 483 9 by by IN 35024 483 10 action action NN 35024 483 11 of of IN 35024 483 12 Gen. Gen. NNP 35024 483 13 Baeyer Baeyer NNP 35024 483 14 , , , 35024 483 15 copies copy NNS 35024 483 16 of of IN 35024 483 17 Peirce Peirce NNP 35024 483 18 's 's POS 35024 483 19 paper paper NN 35024 483 20 on on IN 35024 483 21 Faye Faye NNP 35024 483 22 's 's POS 35024 483 23 proposed propose VBN 35024 483 24 method method NN 35024 483 25 of of IN 35024 483 26 swinging swinge VBG 35024 483 27 pendulums pendulum NNS 35024 483 28 were be VBD 35024 483 29 distributed distribute VBN 35024 483 30 . . . 35024 484 1 Dr. Dr. NNP 35024 484 2 Hirsch Hirsch NNP 35024 484 3 again again RB 35024 484 4 commented comment VBD 35024 484 5 adversely adversely RB 35024 484 6 on on IN 35024 484 7 the the DT 35024 484 8 proposal proposal NN 35024 484 9 , , , 35024 484 10 but but CC 35024 484 11 moved move VBD 35024 484 12 that that IN 35024 484 13 the the DT 35024 484 14 question question NN 35024 484 15 be be VB 35024 484 16 investigated investigate VBN 35024 484 17 and and CC 35024 484 18 reported report VBN 35024 484 19 on on IN 35024 484 20 at at IN 35024 484 21 the the DT 35024 484 22 coming come VBG 35024 484 23 General General NNP 35024 484 24 Conference Conference NNP 35024 484 25 . . . 35024 485 1 The the DT 35024 485 2 Permanent Permanent NNP 35024 485 3 Commission Commission NNP 35024 485 4 accepted accept VBD 35024 485 5 the the DT 35024 485 6 proposal proposal NN 35024 485 7 of of IN 35024 485 8 Dr. Dr. NNP 35024 485 9 Hirsch Hirsch NNP 35024 485 10 , , , 35024 485 11 and and CC 35024 485 12 Prof. Prof. NNP 35024 485 13 Plantamour Plantamour NNP 35024 485 14 was be VBD 35024 485 15 named name VBN 35024 485 16 to to TO 35024 485 17 report report VB 35024 485 18 on on IN 35024 485 19 the the DT 35024 485 20 matter matter NN 35024 485 21 at at IN 35024 485 22 the the DT 35024 485 23 General General NNP 35024 485 24 Conference Conference NNP 35024 485 25 . . . 35024 486 1 At at IN 35024 486 2 Plantamour Plantamour NNP 35024 486 3 's 's POS 35024 486 4 request request NN 35024 486 5 , , , 35024 486 6 Charles Charles NNP 35024 486 7 Cellérier Cellérier NNP 35024 486 8 was be VBD 35024 486 9 appointed appoint VBN 35024 486 10 to to TO 35024 486 11 join join VB 35024 486 12 him -PRON- PRP 35024 486 13 , , , 35024 486 14 since since IN 35024 486 15 the the DT 35024 486 16 problem problem NN 35024 486 17 essentially essentially RB 35024 486 18 was be VBD 35024 486 19 a a DT 35024 486 20 theoretical theoretical JJ 35024 486 21 one one NN 35024 486 22 . . . 35024 487 1 The the DT 35024 487 2 Sixth Sixth NNP 35024 487 3 General General NNP 35024 487 4 Conference Conference NNP 35024 487 5 of of IN 35024 487 6 _ _ NNP 35024 487 7 Die Die NNP 35024 487 8 Europäische Europäische NNP 35024 487 9 Gradmessung Gradmessung NNP 35024 487 10 _ _ NNP 35024 487 11 met meet VBD 35024 487 12 September September NNP 35024 487 13 13 13 CD 35024 487 14 - - SYM 35024 487 15 16 16 CD 35024 487 16 , , , 35024 487 17 1880 1880 CD 35024 487 18 , , , 35024 487 19 in in IN 35024 487 20 Munich Munich NNP 35024 487 21 . . . 35024 488 1 [ [ -LRB- 35024 488 2 67 67 CD 35024 488 3 ] ] -RRB- 35024 488 4 Topic Topic NNP 35024 488 5 III III NNP 35024 488 6 , , , 35024 488 7 part part NN 35024 488 8 7 7 CD 35024 488 9 of of IN 35024 488 10 the the DT 35024 488 11 program program NN 35024 488 12 was be VBD 35024 488 13 entitled entitle VBN 35024 488 14 " " `` 35024 488 15 On on IN 35024 488 16 Determinations Determinations NNPS 35024 488 17 of of IN 35024 488 18 Gravity Gravity NNP 35024 488 19 through through IN 35024 488 20 pendulum pendulum NN 35024 488 21 observations observation NNS 35024 488 22 . . . 35024 489 1 Which which WDT 35024 489 2 construction construction NN 35024 489 3 of of IN 35024 489 4 a a DT 35024 489 5 pendulum pendulum JJ 35024 489 6 apparatus apparatus NN 35024 489 7 corresponds correspond VBZ 35024 489 8 completely completely RB 35024 489 9 to to IN 35024 489 10 all all DT 35024 489 11 requirements requirement NNS 35024 489 12 of of IN 35024 489 13 science science NN 35024 489 14 ? ? . 35024 490 1 Special special JJ 35024 490 2 report report NN 35024 490 3 on on IN 35024 490 4 the the DT 35024 490 5 pendulum pendulum NN 35024 490 6 . . . 35024 490 7 " " '' 35024 491 1 The the DT 35024 491 2 conference conference NN 35024 491 3 received receive VBD 35024 491 4 a a DT 35024 491 5 memoir memoir NN 35024 491 6 by by IN 35024 491 7 Cellérier[68 Cellérier[68 NNP 35024 491 8 ] ] -RRB- 35024 491 9 on on IN 35024 491 10 the the DT 35024 491 11 theory theory NN 35024 491 12 of of IN 35024 491 13 the the DT 35024 491 14 double double JJ 35024 491 15 pendulum pendulum NN 35024 491 16 and and CC 35024 491 17 a a DT 35024 491 18 report report NN 35024 491 19 by by IN 35024 491 20 Plantamour Plantamour NNP 35024 491 21 and and CC 35024 491 22 Cellérier Cellérier NNP 35024 491 23 . . . 35024 492 1 [ [ -LRB- 35024 492 2 69 69 CD 35024 492 3 ] ] -RRB- 35024 492 4 Cellérier Cellérier NNP 35024 492 5 's 's POS 35024 492 6 mathematical mathematical JJ 35024 492 7 analysis analysis NN 35024 492 8 began begin VBD 35024 492 9 with with IN 35024 492 10 the the DT 35024 492 11 equations equation NNS 35024 492 12 of of IN 35024 492 13 Peirce Peirce NNP 35024 492 14 and and CC 35024 492 15 used use VBD 35024 492 16 the the DT 35024 492 17 latter latter NN 35024 492 18 's 's POS 35024 492 19 notation notation NN 35024 492 20 as as RB 35024 492 21 far far RB 35024 492 22 as as IN 35024 492 23 possible possible JJ 35024 492 24 . . . 35024 493 1 His -PRON- PRP$ 35024 493 2 general general JJ 35024 493 3 discussion discussion NN 35024 493 4 included include VBD 35024 493 5 the the DT 35024 493 6 results result NNS 35024 493 7 of of IN 35024 493 8 Peirce Peirce NNP 35024 493 9 , , , 35024 493 10 but but CC 35024 493 11 he -PRON- PRP 35024 493 12 stated state VBD 35024 493 13 that that IN 35024 493 14 the the DT 35024 493 15 difficulties difficulty NNS 35024 493 16 to to TO 35024 493 17 be be VB 35024 493 18 overcome overcome VBN 35024 493 19 did do VBD 35024 493 20 not not RB 35024 493 21 justify justify VB 35024 493 22 the the DT 35024 493 23 employment employment NN 35024 493 24 of of IN 35024 493 25 the the DT 35024 493 26 " " `` 35024 493 27 double double JJ 35024 493 28 pendulum pendulum NN 35024 493 29 . . . 35024 493 30 " " '' 35024 494 1 He -PRON- PRP 35024 494 2 presented present VBD 35024 494 3 an an DT 35024 494 4 alternative alternative JJ 35024 494 5 method method NN 35024 494 6 of of IN 35024 494 7 correcting correct VBG 35024 494 8 for for IN 35024 494 9 flexure flexure NN 35024 494 10 based base VBN 35024 494 11 upon upon IN 35024 494 12 a a DT 35024 494 13 theory theory NN 35024 494 14 by by IN 35024 494 15 which which WDT 35024 494 16 the the DT 35024 494 17 flexure flexure NN 35024 494 18 caused cause VBN 35024 494 19 by by IN 35024 494 20 the the DT 35024 494 21 oscillation oscillation NN 35024 494 22 of of IN 35024 494 23 a a DT 35024 494 24 given give VBN 35024 494 25 reversible reversible NN 35024 494 26 pendulum pendulum NN 35024 494 27 could could MD 35024 494 28 be be VB 35024 494 29 determined determine VBN 35024 494 30 from from IN 35024 494 31 the the DT 35024 494 32 behavior behavior NN 35024 494 33 of of IN 35024 494 34 an an DT 35024 494 35 auxiliary auxiliary JJ 35024 494 36 pendulum pendulum NN 35024 494 37 of of IN 35024 494 38 the the DT 35024 494 39 same same JJ 35024 494 40 length length NN 35024 494 41 but but CC 35024 494 42 of of IN 35024 494 43 different different JJ 35024 494 44 weight weight NN 35024 494 45 . . . 35024 495 1 This this DT 35024 495 2 method method NN 35024 495 3 of of IN 35024 495 4 correcting correct VBG 35024 495 5 for for IN 35024 495 6 flexure flexure NN 35024 495 7 was be VBD 35024 495 8 recommended recommend VBN 35024 495 9 to to IN 35024 495 10 the the DT 35024 495 11 General General NNP 35024 495 12 Conference Conference NNP 35024 495 13 by by IN 35024 495 14 Plantamour Plantamour NNP 35024 495 15 and and CC 35024 495 16 Cellérier Cellérier NNP 35024 495 17 in in IN 35024 495 18 their -PRON- PRP$ 35024 495 19 joint joint JJ 35024 495 20 report report NN 35024 495 21 . . . 35024 496 1 At at IN 35024 496 2 the the DT 35024 496 3 fourth fourth JJ 35024 496 4 session session NN 35024 496 5 of of IN 35024 496 6 the the DT 35024 496 7 conference conference NN 35024 496 8 on on IN 35024 496 9 September September NNP 35024 496 10 16 16 CD 35024 496 11 , , , 35024 496 12 1880 1880 CD 35024 496 13 , , , 35024 496 14 the the DT 35024 496 15 problem problem NN 35024 496 16 of of IN 35024 496 17 the the DT 35024 496 18 pendulum pendulum NN 35024 496 19 was be VBD 35024 496 20 discussed discuss VBN 35024 496 21 and and CC 35024 496 22 , , , 35024 496 23 in in IN 35024 496 24 consequence consequence NNP 35024 496 25 , , , 35024 496 26 a a DT 35024 496 27 commission commission NN 35024 496 28 consisting consist VBG 35024 496 29 of of IN 35024 496 30 Faye Faye NNP 35024 496 31 , , , 35024 496 32 Helmholtz Helmholtz NNP 35024 496 33 , , , 35024 496 34 Plantamour Plantamour NNP 35024 496 35 ( ( -LRB- 35024 496 36 replaced replace VBN 35024 496 37 in in IN 35024 496 38 1882 1882 CD 35024 496 39 by by IN 35024 496 40 Hirsch Hirsch NNP 35024 496 41 ) ) -RRB- 35024 496 42 , , , 35024 496 43 and and CC 35024 496 44 von von NNP 35024 496 45 Oppolzer Oppolzer NNP 35024 496 46 was be VBD 35024 496 47 appointed appoint VBN 35024 496 48 to to TO 35024 496 49 study study VB 35024 496 50 apparatus apparatus NN 35024 496 51 suitable suitable JJ 35024 496 52 for for IN 35024 496 53 relative relative JJ 35024 496 54 determinations determination NNS 35024 496 55 of of IN 35024 496 56 gravity gravity NN 35024 496 57 . . . 35024 497 1 The the DT 35024 497 2 Permanent Permanent NNP 35024 497 3 Commission Commission NNP 35024 497 4 met meet VBD 35024 497 5 September September NNP 35024 497 6 11 11 CD 35024 497 7 - - SYM 35024 497 8 15 15 CD 35024 497 9 , , , 35024 497 10 1882 1882 CD 35024 497 11 , , , 35024 497 12 at at IN 35024 497 13 The the DT 35024 497 14 Hague,[70 Hague,[70 NNP 35024 497 15 ] ] -RRB- 35024 497 16 and and CC 35024 497 17 at at IN 35024 497 18 its -PRON- PRP$ 35024 497 19 last last JJ 35024 497 20 session session NN 35024 497 21 appointed appoint VBD 35024 497 22 Prof. Prof. NNP 35024 497 23 von von NNP 35024 497 24 Oppolzer Oppolzer NNP 35024 497 25 to to TO 35024 497 26 report report VB 35024 497 27 to to IN 35024 497 28 the the DT 35024 497 29 Seventh Seventh NNP 35024 497 30 General General NNP 35024 497 31 Conference Conference NNP 35024 497 32 on on IN 35024 497 33 different different JJ 35024 497 34 forms form NNS 35024 497 35 of of IN 35024 497 36 apparatus apparatus NN 35024 497 37 for for IN 35024 497 38 the the DT 35024 497 39 determination determination NN 35024 497 40 of of IN 35024 497 41 gravity gravity NN 35024 497 42 . . . 35024 498 1 The the DT 35024 498 2 Seventh Seventh NNP 35024 498 3 Conference Conference NNP 35024 498 4 met meet VBD 35024 498 5 October October NNP 35024 498 6 15 15 CD 35024 498 7 - - SYM 35024 498 8 24 24 CD 35024 498 9 , , , 35024 498 10 1883 1883 CD 35024 498 11 , , , 35024 498 12 in in IN 35024 498 13 Rome,[71 Rome,[71 NNP 35024 498 14 ] ] -RRB- 35024 498 15 and and CC 35024 498 16 , , , 35024 498 17 at at IN 35024 498 18 its -PRON- PRP$ 35024 498 19 eighth eighth JJ 35024 498 20 session session NN 35024 498 21 , , , 35024 498 22 on on IN 35024 498 23 October October NNP 35024 498 24 22 22 CD 35024 498 25 , , , 35024 498 26 received receive VBD 35024 498 27 a a DT 35024 498 28 comprehensive comprehensive JJ 35024 498 29 , , , 35024 498 30 critical critical JJ 35024 498 31 review review NN 35024 498 32 from from IN 35024 498 33 Prof. Prof. NNP 35024 498 34 von von NNP 35024 498 35 Oppolzer Oppolzer NNP 35024 498 36 entitled entitle VBN 35024 498 37 " " `` 35024 498 38 Über Über NNP 35024 498 39 die die VBP 35024 498 40 Bestimmung Bestimmung NNP 35024 498 41 der der VB 35024 498 42 Schwere Schwere NNP 35024 498 43 mit mit NNP 35024 498 44 Hilfe Hilfe NNP 35024 498 45 verschiedener verschiedener NN 35024 498 46 Apparate Apparate NNP 35024 498 47 . . . 35024 499 1 " " `` 35024 499 2 [ [ -LRB- 35024 499 3 72 72 CD 35024 499 4 ] ] -RRB- 35024 499 5 Von Von NNP 35024 499 6 Oppolzer Oppolzer NNP 35024 499 7 especially especially RB 35024 499 8 expounded expound VBD 35024 499 9 the the DT 35024 499 10 advantages advantage NNS 35024 499 11 of of IN 35024 499 12 the the DT 35024 499 13 Bessel Bessel NNP 35024 499 14 reversible reversible NN 35024 499 15 pendulum pendulum NN 35024 499 16 , , , 35024 499 17 which which WDT 35024 499 18 compensated compensate VBD 35024 499 19 for for IN 35024 499 20 air air NN 35024 499 21 effects effect NNS 35024 499 22 by by IN 35024 499 23 symmetry symmetry NN 35024 499 24 of of IN 35024 499 25 form form NN 35024 499 26 if if IN 35024 499 27 the the DT 35024 499 28 times time NNS 35024 499 29 of of IN 35024 499 30 swing swing NN 35024 499 31 for for IN 35024 499 32 both both DT 35024 499 33 positions position NNS 35024 499 34 were be VBD 35024 499 35 maintained maintain VBN 35024 499 36 between between IN 35024 499 37 the the DT 35024 499 38 same same JJ 35024 499 39 amplitudes amplitude NNS 35024 499 40 , , , 35024 499 41 and and CC 35024 499 42 compensated compensate VBN 35024 499 43 for for IN 35024 499 44 irregular irregular JJ 35024 499 45 knife knife NN 35024 499 46 edges edge NNS 35024 499 47 by by IN 35024 499 48 making make VBG 35024 499 49 them -PRON- PRP 35024 499 50 interchangeable interchangeable JJ 35024 499 51 . . . 35024 500 1 Prof. Prof. NNP 35024 500 2 von von NNP 35024 500 3 Oppolzer Oppolzer NNP 35024 500 4 reviewed review VBD 35024 500 5 the the DT 35024 500 6 problem problem NN 35024 500 7 of of IN 35024 500 8 flexure flexure NN 35024 500 9 of of IN 35024 500 10 the the DT 35024 500 11 Repsold Repsold NNP 35024 500 12 stand stand NN 35024 500 13 and and CC 35024 500 14 stated state VBD 35024 500 15 that that IN 35024 500 16 a a DT 35024 500 17 solution solution NN 35024 500 18 in in IN 35024 500 19 the the DT 35024 500 20 right right JJ 35024 500 21 direction direction NN 35024 500 22 was be VBD 35024 500 23 the the DT 35024 500 24 proposal proposal NN 35024 500 25 -- -- : 35024 500 26 made make VBN 35024 500 27 by by IN 35024 500 28 Faye Faye NNP 35024 500 29 and and CC 35024 500 30 theoretically theoretically RB 35024 500 31 pursued pursue VBN 35024 500 32 by by IN 35024 500 33 Peirce Peirce NNP 35024 500 34 -- -- : 35024 500 35 to to TO 35024 500 36 swing swing VB 35024 500 37 two two CD 35024 500 38 pendulums pendulum NNS 35024 500 39 from from IN 35024 500 40 the the DT 35024 500 41 same same JJ 35024 500 42 stand stand NN 35024 500 43 with with IN 35024 500 44 equal equal JJ 35024 500 45 amplitudes amplitude NNS 35024 500 46 and and CC 35024 500 47 in in IN 35024 500 48 opposite opposite JJ 35024 500 49 phases phase NNS 35024 500 50 , , , 35024 500 51 but but CC 35024 500 52 that that IN 35024 500 53 the the DT 35024 500 54 proposal proposal NN 35024 500 55 was be VBD 35024 500 56 not not RB 35024 500 57 practicable practicable JJ 35024 500 58 . . . 35024 501 1 He -PRON- PRP 35024 501 2 concluded conclude VBD 35024 501 3 that that IN 35024 501 4 for for IN 35024 501 5 absolute absolute JJ 35024 501 6 determinations determination NNS 35024 501 7 of of IN 35024 501 8 gravity gravity NN 35024 501 9 , , , 35024 501 10 the the DT 35024 501 11 Bessel Bessel NNP 35024 501 12 reversible reversible NN 35024 501 13 pendulum pendulum NN 35024 501 14 was be VBD 35024 501 15 highly highly RB 35024 501 16 appropriate appropriate JJ 35024 501 17 if if IN 35024 501 18 one one CD 35024 501 19 swung swing VBD 35024 501 20 two two CD 35024 501 21 exemplars exemplar NNS 35024 501 22 of of IN 35024 501 23 different different JJ 35024 501 24 weight weight NN 35024 501 25 from from IN 35024 501 26 the the DT 35024 501 27 same same JJ 35024 501 28 stand stand NN 35024 501 29 for for IN 35024 501 30 the the DT 35024 501 31 elimination elimination NN 35024 501 32 of of IN 35024 501 33 flexure flexure NN 35024 501 34 . . . 35024 502 1 Prof. Prof. NNP 35024 502 2 von von NNP 35024 502 3 Oppolzer Oppolzer NNP 35024 502 4 's 's POS 35024 502 5 important important JJ 35024 502 6 report report NN 35024 502 7 recognized recognize VBD 35024 502 8 that that IN 35024 502 9 absolute absolute JJ 35024 502 10 determinations determination NNS 35024 502 11 were be VBD 35024 502 12 less less RBR 35024 502 13 accurate accurate JJ 35024 502 14 than than IN 35024 502 15 relative relative JJ 35024 502 16 ones one NNS 35024 502 17 , , , 35024 502 18 and and CC 35024 502 19 should should MD 35024 502 20 be be VB 35024 502 21 conducted conduct VBN 35024 502 22 only only RB 35024 502 23 at at IN 35024 502 24 special special JJ 35024 502 25 places place NNS 35024 502 26 . . . 35024 503 1 The the DT 35024 503 2 discussions discussion NNS 35024 503 3 initiated initiate VBN 35024 503 4 by by IN 35024 503 5 Peirce Peirce NNP 35024 503 6 's 's POS 35024 503 7 demonstration demonstration NN 35024 503 8 of of IN 35024 503 9 the the DT 35024 503 10 flexure flexure NN 35024 503 11 of of IN 35024 503 12 the the DT 35024 503 13 Repsold Repsold NNP 35024 503 14 stand stand NN 35024 503 15 resulted result VBD 35024 503 16 , , , 35024 503 17 finally finally RB 35024 503 18 , , , 35024 503 19 in in IN 35024 503 20 the the DT 35024 503 21 abandonment abandonment NN 35024 503 22 of of IN 35024 503 23 the the DT 35024 503 24 plan plan NN 35024 503 25 to to TO 35024 503 26 make make VB 35024 503 27 absolute absolute JJ 35024 503 28 determinations determination NNS 35024 503 29 of of IN 35024 503 30 gravity gravity NN 35024 503 31 at at IN 35024 503 32 all all DT 35024 503 33 stations station NNS 35024 503 34 with with IN 35024 503 35 the the DT 35024 503 36 reversible reversible JJ 35024 503 37 pendulum pendulum NN 35024 503 38 . . . 35024 504 1 [ [ -LRB- 35024 504 2 Illustration illustration NN 35024 504 3 : : : 35024 504 4 Figure figure NN 35024 504 5 19.--THREE 19.--three CD 35024 504 6 PENDULUMS pendulums NN 35024 504 7 USED use VBN 35024 504 8 IN in IN 35024 504 9 EARLY early NN 35024 504 10 WORK work NN 35024 504 11 at at IN 35024 504 12 the the DT 35024 504 13 U.S. U.S. NNP 35024 504 14 Coast Coast NNP 35024 504 15 and and CC 35024 504 16 Geodetic Geodetic NNP 35024 504 17 Survey Survey NNP 35024 504 18 . . . 35024 505 1 Shown show VBN 35024 505 2 on on IN 35024 505 3 the the DT 35024 505 4 left left NN 35024 505 5 is be VBZ 35024 505 6 the the DT 35024 505 7 Peirce Peirce NNP 35024 505 8 invariable invariable NN 35024 505 9 ; ; : 35024 505 10 center center NN 35024 505 11 , , , 35024 505 12 the the DT 35024 505 13 Peirce Peirce NNP 35024 505 14 reversible reversible NN 35024 505 15 ; ; : 35024 505 16 and and CC 35024 505 17 , , , 35024 505 18 right right UH 35024 505 19 , , , 35024 505 20 the the DT 35024 505 21 Repsold Repsold NNP 35024 505 22 reversible reversible NN 35024 505 23 . . . 35024 506 1 Peirce Peirce NNP 35024 506 2 designed design VBD 35024 506 3 the the DT 35024 506 4 cylindrical cylindrical JJ 35024 506 5 pendulum pendulum NN 35024 506 6 in in IN 35024 506 7 1881 1881 CD 35024 506 8 - - SYM 35024 506 9 1882 1882 CD 35024 506 10 to to TO 35024 506 11 study study VB 35024 506 12 the the DT 35024 506 13 effect effect NN 35024 506 14 of of IN 35024 506 15 air air NN 35024 506 16 resistance resistance NN 35024 506 17 according accord VBG 35024 506 18 to to IN 35024 506 19 the the DT 35024 506 20 theory theory NN 35024 506 21 of of IN 35024 506 22 G. G. NNP 35024 506 23 G. G. NNP 35024 506 24 Stokes Stokes NNP 35024 506 25 on on IN 35024 506 26 the the DT 35024 506 27 motion motion NN 35024 506 28 of of IN 35024 506 29 a a DT 35024 506 30 pendulum pendulum NN 35024 506 31 in in IN 35024 506 32 a a DT 35024 506 33 viscous viscous JJ 35024 506 34 field field NN 35024 506 35 . . . 35024 507 1 Three three CD 35024 507 2 examples example NNS 35024 507 3 of of IN 35024 507 4 the the DT 35024 507 5 Peirce Peirce NNP 35024 507 6 pendulums pendulum NNS 35024 507 7 are be VBP 35024 507 8 in in IN 35024 507 9 the the DT 35024 507 10 U.S. U.S. NNP 35024 507 11 National National NNP 35024 507 12 Museum Museum NNP 35024 507 13 . . . 35024 507 14 ] ] -RRB- 35024 508 1 Peirce peirce NN 35024 508 2 and and CC 35024 508 3 Defforges Defforges NNP 35024 508 4 Invariable Invariable NNP 35024 508 5 , , , 35024 508 6 Reversible reversible JJ 35024 508 7 Pendulums Pendulums NNP 35024 508 8 The the DT 35024 508 9 Repsold Repsold NNP 35024 508 10 - - HYPH 35024 508 11 Bessel Bessel NNP 35024 508 12 reversible reversible NN 35024 508 13 pendulum pendulum NN 35024 508 14 was be VBD 35024 508 15 designed design VBN 35024 508 16 and and CC 35024 508 17 initially initially RB 35024 508 18 used use VBN 35024 508 19 to to TO 35024 508 20 make make VB 35024 508 21 absolute absolute JJ 35024 508 22 determinations determination NNS 35024 508 23 of of IN 35024 508 24 gravity gravity NN 35024 508 25 not not RB 35024 508 26 only only RB 35024 508 27 at at IN 35024 508 28 initial initial JJ 35024 508 29 stations station NNS 35024 508 30 such such JJ 35024 508 31 as as IN 35024 508 32 Kew Kew NNP 35024 508 33 , , , 35024 508 34 the the DT 35024 508 35 observatory observatory NN 35024 508 36 in in IN 35024 508 37 Paris Paris NNP 35024 508 38 , , , 35024 508 39 and and CC 35024 508 40 the the DT 35024 508 41 Smithsonian Smithsonian NNP 35024 508 42 Institution Institution NNP 35024 508 43 in in IN 35024 508 44 Washington Washington NNP 35024 508 45 , , , 35024 508 46 D.C. D.C. NNP 35024 508 47 , , , 35024 508 48 but but CC 35024 508 49 also also RB 35024 508 50 at at IN 35024 508 51 stations station NNS 35024 508 52 in in IN 35024 508 53 the the DT 35024 508 54 field field NN 35024 508 55 . . . 35024 509 1 An an DT 35024 509 2 invariable invariable JJ 35024 509 3 pendulum pendulum NN 35024 509 4 with with IN 35024 509 5 a a DT 35024 509 6 single single JJ 35024 509 7 knife knife NN 35024 509 8 edge edge NN 35024 509 9 , , , 35024 509 10 however however RB 35024 509 11 , , , 35024 509 12 is be VBZ 35024 509 13 adequate adequate JJ 35024 509 14 for for IN 35024 509 15 relative relative JJ 35024 509 16 determinations determination NNS 35024 509 17 . . . 35024 510 1 As as IN 35024 510 2 we -PRON- PRP 35024 510 3 have have VBP 35024 510 4 seen see VBN 35024 510 5 , , , 35024 510 6 such such JJ 35024 510 7 invariable invariable JJ 35024 510 8 pendulums pendulum NNS 35024 510 9 had have VBD 35024 510 10 been be VBN 35024 510 11 used use VBN 35024 510 12 by by IN 35024 510 13 Bouguer Bouguer NNP 35024 510 14 and and CC 35024 510 15 Kater Kater NNP 35024 510 16 , , , 35024 510 17 and and CC 35024 510 18 after after IN 35024 510 19 the the DT 35024 510 20 experiences experience NNS 35024 510 21 with with IN 35024 510 22 the the DT 35024 510 23 Repsold Repsold NNP 35024 510 24 apparatus apparatus NN 35024 510 25 had have VBD 35024 510 26 been be VBN 35024 510 27 recommended recommend VBN 35024 510 28 again again RB 35024 510 29 by by IN 35024 510 30 Baeyer Baeyer NNP 35024 510 31 for for IN 35024 510 32 relative relative JJ 35024 510 33 determinations determination NNS 35024 510 34 . . . 35024 511 1 But but CC 35024 511 2 an an DT 35024 511 3 invariable invariable JJ 35024 511 4 pendulum pendulum NN 35024 511 5 is be VBZ 35024 511 6 subject subject JJ 35024 511 7 to to IN 35024 511 8 uncontrollable uncontrollable JJ 35024 511 9 changes change NNS 35024 511 10 of of IN 35024 511 11 length length NN 35024 511 12 . . . 35024 512 1 Peirce Peirce NNP 35024 512 2 proposed propose VBD 35024 512 3 to to TO 35024 512 4 detect detect VB 35024 512 5 such such JJ 35024 512 6 changes change NNS 35024 512 7 in in IN 35024 512 8 an an DT 35024 512 9 invariable invariable JJ 35024 512 10 pendulum pendulum NN 35024 512 11 in in IN 35024 512 12 the the DT 35024 512 13 field field NN 35024 512 14 by by IN 35024 512 15 combining combine VBG 35024 512 16 the the DT 35024 512 17 invariable invariable JJ 35024 512 18 and and CC 35024 512 19 reversible reversible JJ 35024 512 20 principles principle NNS 35024 512 21 . . . 35024 513 1 He -PRON- PRP 35024 513 2 explained explain VBD 35024 513 3 his -PRON- PRP$ 35024 513 4 proposal proposal NN 35024 513 5 to to IN 35024 513 6 Faye Faye NNP 35024 513 7 in in IN 35024 513 8 a a DT 35024 513 9 letter letter NN 35024 513 10 dated date VBN 35024 513 11 July July NNP 35024 513 12 23 23 CD 35024 513 13 , , , 35024 513 14 1880 1880 CD 35024 513 15 , , , 35024 513 16 and and CC 35024 513 17 he -PRON- PRP 35024 513 18 presented present VBD 35024 513 19 it -PRON- PRP 35024 513 20 on on IN 35024 513 21 September September NNP 35024 513 22 16 16 CD 35024 513 23 , , , 35024 513 24 1880 1880 CD 35024 513 25 , , , 35024 513 26 at at IN 35024 513 27 the the DT 35024 513 28 fourth fourth JJ 35024 513 29 session session NN 35024 513 30 of of IN 35024 513 31 the the DT 35024 513 32 sixth sixth JJ 35024 513 33 General General NNP 35024 513 34 Conference Conference NNP 35024 513 35 of of IN 35024 513 36 _ _ NNP 35024 513 37 Die Die NNP 35024 513 38 Europäische Europäische NNP 35024 513 39 Gradmessung Gradmessung NNP 35024 513 40 _ _ NNP 35024 513 41 , , , 35024 513 42 in in IN 35024 513 43 Munich Munich NNP 35024 513 44 . . . 35024 514 1 [ [ -LRB- 35024 514 2 73 73 CD 35024 514 3 ] ] -RRB- 35024 514 4 As as IN 35024 514 5 recorded record VBN 35024 514 6 in in IN 35024 514 7 the the DT 35024 514 8 Proceedings Proceedings NNP 35024 514 9 of of IN 35024 514 10 the the DT 35024 514 11 Conference Conference NNP 35024 514 12 , , , 35024 514 13 Peirce Peirce NNP 35024 514 14 wrote write VBD 35024 514 15 : : : 35024 514 16 But but CC 35024 514 17 I -PRON- PRP 35024 514 18 obviate obviate VBP 35024 514 19 it -PRON- PRP 35024 514 20 in in IN 35024 514 21 making make VBG 35024 514 22 my -PRON- PRP$ 35024 514 23 pendulum pendulum NN 35024 514 24 both both CC 35024 514 25 invariable invariable JJ 35024 514 26 and and CC 35024 514 27 reversible reversible JJ 35024 514 28 . . . 35024 515 1 Every every DT 35024 515 2 alteration alteration NN 35024 515 3 of of IN 35024 515 4 the the DT 35024 515 5 pendulum pendulum NN 35024 515 6 will will MD 35024 515 7 be be VB 35024 515 8 revealed reveal VBN 35024 515 9 immediately immediately RB 35024 515 10 by by IN 35024 515 11 the the DT 35024 515 12 change change NN 35024 515 13 in in IN 35024 515 14 the the DT 35024 515 15 difference difference NN 35024 515 16 of of IN 35024 515 17 the the DT 35024 515 18 two two CD 35024 515 19 periods period NNS 35024 515 20 of of IN 35024 515 21 oscillation oscillation NN 35024 515 22 in in IN 35024 515 23 the the DT 35024 515 24 two two CD 35024 515 25 positions position NNS 35024 515 26 . . . 35024 516 1 Once once RB 35024 516 2 discovered discover VBN 35024 516 3 , , , 35024 516 4 it -PRON- PRP 35024 516 5 will will MD 35024 516 6 be be VB 35024 516 7 taken take VBN 35024 516 8 account account NN 35024 516 9 of of IN 35024 516 10 by by IN 35024 516 11 means mean NNS 35024 516 12 of of IN 35024 516 13 new new JJ 35024 516 14 measures measure NNS 35024 516 15 of of IN 35024 516 16 the the DT 35024 516 17 distance distance NN 35024 516 18 between between IN 35024 516 19 the the DT 35024 516 20 two two CD 35024 516 21 supports support NNS 35024 516 22 . . . 35024 517 1 Peirce Peirce NNP 35024 517 2 added add VBD 35024 517 3 that that IN 35024 517 4 it -PRON- PRP 35024 517 5 seemed seem VBD 35024 517 6 to to IN 35024 517 7 him -PRON- PRP 35024 517 8 that that IN 35024 517 9 if if IN 35024 517 10 the the DT 35024 517 11 reversible reversible JJ 35024 517 12 pendulum pendulum NN 35024 517 13 perhaps perhaps RB 35024 517 14 is be VBZ 35024 517 15 not not RB 35024 517 16 the the DT 35024 517 17 best good JJS 35024 517 18 instrument instrument NN 35024 517 19 to to TO 35024 517 20 determine determine VB 35024 517 21 absolute absolute JJ 35024 517 22 gravity gravity NN 35024 517 23 , , , 35024 517 24 it -PRON- PRP 35024 517 25 is be VBZ 35024 517 26 , , , 35024 517 27 on on IN 35024 517 28 condition condition NN 35024 517 29 that that IN 35024 517 30 it -PRON- PRP 35024 517 31 be be VB 35024 517 32 truly truly RB 35024 517 33 invariable invariable JJ 35024 517 34 , , , 35024 517 35 the the DT 35024 517 36 best good JJS 35024 517 37 to to TO 35024 517 38 determine determine VB 35024 517 39 relative relative JJ 35024 517 40 gravity gravity NN 35024 517 41 . . . 35024 518 1 Peirce Peirce NNP 35024 518 2 further further RB 35024 518 3 stated state VBD 35024 518 4 that that IN 35024 518 5 he -PRON- PRP 35024 518 6 would would MD 35024 518 7 wish wish VB 35024 518 8 that that IN 35024 518 9 the the DT 35024 518 10 pendulum pendulum NN 35024 518 11 be be VB 35024 518 12 formed form VBN 35024 518 13 of of IN 35024 518 14 a a DT 35024 518 15 tube tube NN 35024 518 16 of of IN 35024 518 17 drawn drawn JJ 35024 518 18 brass brass NN 35024 518 19 with with IN 35024 518 20 heavy heavy JJ 35024 518 21 plugs plug NNS 35024 518 22 of of IN 35024 518 23 brass brass NN 35024 518 24 equally equally RB 35024 518 25 drawn draw VBN 35024 518 26 . . . 35024 519 1 The the DT 35024 519 2 cylinder cylinder NN 35024 519 3 would would MD 35024 519 4 be be VB 35024 519 5 terminated terminate VBN 35024 519 6 by by IN 35024 519 7 two two CD 35024 519 8 hemispheres hemisphere NNS 35024 519 9 ; ; : 35024 519 10 the the DT 35024 519 11 knives knife NNS 35024 519 12 would would MD 35024 519 13 be be VB 35024 519 14 attached attach VBN 35024 519 15 to to IN 35024 519 16 tongues tongue NNS 35024 519 17 fixed fix VBN 35024 519 18 near near IN 35024 519 19 the the DT 35024 519 20 ends end NNS 35024 519 21 of of IN 35024 519 22 the the DT 35024 519 23 cylinder cylinder NN 35024 519 24 . . . 35024 520 1 During during IN 35024 520 2 the the DT 35024 520 3 years year NNS 35024 520 4 1881 1881 CD 35024 520 5 and and CC 35024 520 6 1882 1882 CD 35024 520 7 , , , 35024 520 8 four four CD 35024 520 9 invariable invariable JJ 35024 520 10 , , , 35024 520 11 reversible reversible JJ 35024 520 12 pendulums pendulum NNS 35024 520 13 were be VBD 35024 520 14 made make VBN 35024 520 15 after after IN 35024 520 16 the the DT 35024 520 17 design design NN 35024 520 18 of of IN 35024 520 19 Peirce Peirce NNP 35024 520 20 at at IN 35024 520 21 the the DT 35024 520 22 office office NN 35024 520 23 of of IN 35024 520 24 the the DT 35024 520 25 U.S. U.S. NNP 35024 520 26 Coast Coast NNP 35024 520 27 and and CC 35024 520 28 Geodetic Geodetic NNP 35024 520 29 Survey Survey NNP 35024 520 30 in in IN 35024 520 31 Washington Washington NNP 35024 520 32 , , , 35024 520 33 D.C. D.C. NNP 35024 521 1 The the DT 35024 521 2 report report NN 35024 521 3 of of IN 35024 521 4 the the DT 35024 521 5 superintendent superintendent NN 35024 521 6 for for IN 35024 521 7 the the DT 35024 521 8 year year NN 35024 521 9 1880 1880 CD 35024 521 10 - - SYM 35024 521 11 1881 1881 CD 35024 521 12 states state NNS 35024 521 13 : : : 35024 521 14 A a DT 35024 521 15 new new JJ 35024 521 16 pattern pattern NN 35024 521 17 of of IN 35024 521 18 the the DT 35024 521 19 reversible reversible JJ 35024 521 20 pendulum pendulum NN 35024 521 21 has have VBZ 35024 521 22 been be VBN 35024 521 23 invented invent VBN 35024 521 24 , , , 35024 521 25 having have VBG 35024 521 26 its -PRON- PRP$ 35024 521 27 surface surface NN 35024 521 28 as as RB 35024 521 29 nearly nearly RB 35024 521 30 as as RB 35024 521 31 convenient convenient JJ 35024 521 32 in in IN 35024 521 33 the the DT 35024 521 34 form form NN 35024 521 35 of of IN 35024 521 36 an an DT 35024 521 37 elongated elongated JJ 35024 521 38 ellipsoid ellipsoid NN 35024 521 39 . . . 35024 522 1 Three three CD 35024 522 2 of of IN 35024 522 3 these these DT 35024 522 4 instruments instrument NNS 35024 522 5 have have VBP 35024 522 6 been be VBN 35024 522 7 constructed construct VBN 35024 522 8 , , , 35024 522 9 two two CD 35024 522 10 having have VBG 35024 522 11 a a DT 35024 522 12 distance distance NN 35024 522 13 of of IN 35024 522 14 one one CD 35024 522 15 meter meter NN 35024 522 16 between between IN 35024 522 17 the the DT 35024 522 18 knife knife NN 35024 522 19 edges edge NNS 35024 522 20 and and CC 35024 522 21 the the DT 35024 522 22 third third JJ 35024 522 23 a a DT 35024 522 24 distance distance NN 35024 522 25 of of IN 35024 522 26 one one CD 35024 522 27 yard yard NN 35024 522 28 . . . 35024 523 1 It -PRON- PRP 35024 523 2 is be VBZ 35024 523 3 proposed propose VBN 35024 523 4 to to TO 35024 523 5 swing swing VB 35024 523 6 one one CD 35024 523 7 of of IN 35024 523 8 the the DT 35024 523 9 meter meter NN 35024 523 10 pendulums pendulum NNS 35024 523 11 at at IN 35024 523 12 a a DT 35024 523 13 temperature temperature NN 35024 523 14 near near IN 35024 523 15 32 32 CD 35024 523 16 ° ° NNS 35024 523 17 F. F. NNP 35024 523 18 at at IN 35024 523 19 the the DT 35024 523 20 same same JJ 35024 523 21 time time NN 35024 523 22 that that WDT 35024 523 23 the the DT 35024 523 24 yard yard NN 35024 523 25 is be VBZ 35024 523 26 swung swing VBN 35024 523 27 at at IN 35024 523 28 60 60 CD 35024 523 29 ° ° , 35024 523 30 F. F. NNP 35024 523 31 , , , 35024 523 32 in in IN 35024 523 33 order order NN 35024 523 34 to to TO 35024 523 35 determine determine VB 35024 523 36 anew anew RB 35024 523 37 the the DT 35024 523 38 relation relation NN 35024 523 39 between between IN 35024 523 40 the the DT 35024 523 41 yard yard NN 35024 523 42 and and CC 35024 523 43 the the DT 35024 523 44 meter meter NN 35024 523 45 . . . 35024 524 1 [ [ -LRB- 35024 524 2 74 74 CD 35024 524 3 ] ] -RRB- 35024 524 4 The the DT 35024 524 5 report report NN 35024 524 6 for for IN 35024 524 7 1881 1881 CD 35024 524 8 - - SYM 35024 524 9 1882 1882 CD 35024 524 10 mentions mention NNS 35024 524 11 four four CD 35024 524 12 of of IN 35024 524 13 these these DT 35024 524 14 Peirce Peirce NNP 35024 524 15 pendulums pendulum NNS 35024 524 16 . . . 35024 525 1 A a DT 35024 525 2 description description NN 35024 525 3 of of IN 35024 525 4 the the DT 35024 525 5 Peirce Peirce NNP 35024 525 6 invariable invariable JJ 35024 525 7 , , , 35024 525 8 reversible reversible JJ 35024 525 9 pendulums pendulum NNS 35024 525 10 was be VBD 35024 525 11 given give VBN 35024 525 12 by by IN 35024 525 13 Assistant Assistant NNP 35024 525 14 E. E. NNP 35024 525 15 D. D. NNP 35024 525 16 Preston Preston NNP 35024 525 17 in in IN 35024 525 18 " " `` 35024 525 19 Determinations Determinations NNPS 35024 525 20 of of IN 35024 525 21 Gravity Gravity NNP 35024 525 22 and and CC 35024 525 23 the the DT 35024 525 24 Magnetic Magnetic NNP 35024 525 25 Elements Elements NNPS 35024 525 26 in in IN 35024 525 27 Connection connection NN 35024 525 28 with with IN 35024 525 29 the the DT 35024 525 30 United United NNP 35024 525 31 States States NNP 35024 525 32 Scientific Scientific NNP 35024 525 33 Expedition Expedition NNP 35024 525 34 to to IN 35024 525 35 the the DT 35024 525 36 West West NNP 35024 525 37 Coast Coast NNP 35024 525 38 of of IN 35024 525 39 Africa Africa NNP 35024 525 40 , , , 35024 525 41 1889 1889 CD 35024 525 42 - - SYM 35024 525 43 90 90 CD 35024 525 44 . . . 35024 526 1 " " `` 35024 526 2 [ [ -LRB- 35024 526 3 75 75 CD 35024 526 4 ] ] -RRB- 35024 526 5 The the DT 35024 526 6 invariable invariable JJ 35024 526 7 , , , 35024 526 8 reversible reversible JJ 35024 526 9 pendulum pendulum NN 35024 526 10 , , , 35024 526 11 Peirce Peirce NNP 35024 526 12 no no UH 35024 526 13 . . . 35024 527 1 4 4 LS 35024 527 2 , , , 35024 527 3 now now RB 35024 527 4 preserved preserve VBN 35024 527 5 in in IN 35024 527 6 the the DT 35024 527 7 Smithsonian Smithsonian NNP 35024 527 8 Institution Institution NNP 35024 527 9 's 's POS 35024 527 10 Museum Museum NNP 35024 527 11 of of IN 35024 527 12 History History NNP 35024 527 13 and and CC 35024 527 14 Technology Technology NNP 35024 527 15 ( ( -LRB- 35024 527 16 fig fig NN 35024 527 17 . . . 35024 528 1 34 34 CD 35024 528 2 ) ) -RRB- 35024 528 3 , , , 35024 528 4 may may MD 35024 528 5 be be VB 35024 528 6 taken take VBN 35024 528 7 as as IN 35024 528 8 typical typical JJ 35024 528 9 of of IN 35024 528 10 the the DT 35024 528 11 meter meter NN 35024 528 12 pendulums pendulum NNS 35024 528 13 : : . 35024 528 14 In in IN 35024 528 15 the the DT 35024 528 16 same same JJ 35024 528 17 memoir memoir NN 35024 528 18 , , , 35024 528 19 Preston Preston NNP 35024 528 20 gives give VBZ 35024 528 21 the the DT 35024 528 22 diameter diameter NN 35024 528 23 of of IN 35024 528 24 the the DT 35024 528 25 tube tube NN 35024 528 26 as as IN 35024 528 27 63.7 63.7 CD 35024 528 28 mm mm NNP 35024 528 29 . . NNP 35024 528 30 , , , 35024 528 31 thickness thickness NN 35024 528 32 of of IN 35024 528 33 tube tube NN 35024 528 34 1.5 1.5 CD 35024 528 35 mm mm NNP 35024 528 36 . . NNP 35024 528 37 , , , 35024 528 38 weight weight NN 35024 528 39 10.680 10.680 CD 35024 528 40 kilograms kilogram NNS 35024 528 41 , , , 35024 528 42 and and CC 35024 528 43 distance distance NN 35024 528 44 between between IN 35024 528 45 the the DT 35024 528 46 knives knife NNS 35024 528 47 1.000 1.000 CD 35024 528 48 meter meter NN 35024 528 49 . . . 35024 529 1 The the DT 35024 529 2 combination combination NN 35024 529 3 of of IN 35024 529 4 invariability invariability NN 35024 529 5 and and CC 35024 529 6 reversibility reversibility NN 35024 529 7 in in IN 35024 529 8 the the DT 35024 529 9 Peirce Peirce NNP 35024 529 10 pendulums pendulums NNPS 35024 529 11 was be VBD 35024 529 12 an an DT 35024 529 13 innovation innovation NN 35024 529 14 for for IN 35024 529 15 relative relative JJ 35024 529 16 determinations determination NNS 35024 529 17 . . . 35024 530 1 Indeed indeed RB 35024 530 2 , , , 35024 530 3 the the DT 35024 530 4 combination combination NN 35024 530 5 was be VBD 35024 530 6 criticized criticize VBN 35024 530 7 by by IN 35024 530 8 Maj Maj NNP 35024 530 9 . . NNP 35024 530 10 J. J. NNP 35024 530 11 Herschel Herschel NNP 35024 530 12 , , , 35024 530 13 R.E. R.E. NNP 35024 530 14 , , , 35024 530 15 of of IN 35024 530 16 the the DT 35024 530 17 Indian Indian NNP 35024 530 18 Survey Survey NNP 35024 530 19 , , , 35024 530 20 at at IN 35024 530 21 a a DT 35024 530 22 conference conference NN 35024 530 23 on on IN 35024 530 24 gravity gravity NN 35024 530 25 held hold VBN 35024 530 26 in in IN 35024 530 27 Washington Washington NNP 35024 530 28 in in IN 35024 530 29 May May NNP 35024 530 30 1882 1882 CD 35024 530 31 on on IN 35024 530 32 the the DT 35024 530 33 occasion occasion NN 35024 530 34 of of IN 35024 530 35 his -PRON- PRP$ 35024 530 36 visit visit NN 35024 530 37 to to IN 35024 530 38 the the DT 35024 530 39 United United NNP 35024 530 40 States States NNP 35024 530 41 for for IN 35024 530 42 the the DT 35024 530 43 purpose purpose NN 35024 530 44 of of IN 35024 530 45 connecting connect VBG 35024 530 46 English english JJ 35024 530 47 and and CC 35024 530 48 American american JJ 35024 530 49 stations station NNS 35024 530 50 by by IN 35024 530 51 relative relative JJ 35024 530 52 determinations determination NNS 35024 530 53 with with IN 35024 530 54 three three CD 35024 530 55 Kater Kater NNP 35024 530 56 invariable invariable JJ 35024 530 57 pendulums pendulum NNS 35024 530 58 . . . 35024 531 1 These these DT 35024 531 2 three three CD 35024 531 3 pendulums pendulum NNS 35024 531 4 have have VBP 35024 531 5 been be VBN 35024 531 6 designated designate VBN 35024 531 7 as as IN 35024 531 8 nos nos NNP 35024 531 9 . . . 35024 532 1 4 4 CD 35024 532 2 , , , 35024 532 3 6 6 CD 35024 532 4 ( ( -LRB- 35024 532 5 1821 1821 CD 35024 532 6 ) ) -RRB- 35024 532 7 , , , 35024 532 8 and and CC 35024 532 9 11 11 CD 35024 532 10 . . . 35024 533 1 [ [ -LRB- 35024 533 2 76 76 CD 35024 533 3 ] ] -RRB- 35024 533 4 [ [ -LRB- 35024 533 5 Illustration illustration NN 35024 533 6 : : : 35024 533 7 Figure figure NN 35024 533 8 20.--SUPPORT 20.--support CD 35024 533 9 FOR for IN 35024 533 10 THE the DT 35024 533 11 PEIRCE PEIRCE NNP 35024 533 12 PENDULUM PENDULUM NNS 35024 533 13 , , , 35024 533 14 1889 1889 CD 35024 533 15 . . . 35024 534 1 Much much JJ 35024 534 2 of of IN 35024 534 3 the the DT 35024 534 4 work work NN 35024 534 5 of of IN 35024 534 6 C. C. NNP 35024 534 7 S. S. NNP 35024 534 8 Peirce Peirce NNP 35024 534 9 was be VBD 35024 534 10 concerned concern VBN 35024 534 11 with with IN 35024 534 12 the the DT 35024 534 13 determination determination NN 35024 534 14 of of IN 35024 534 15 the the DT 35024 534 16 error error NN 35024 534 17 introduced introduce VBN 35024 534 18 into into IN 35024 534 19 observations observation NNS 35024 534 20 made make VBN 35024 534 21 with with IN 35024 534 22 the the DT 35024 534 23 portable portable JJ 35024 534 24 apparatus apparatus NN 35024 534 25 by by IN 35024 534 26 the the DT 35024 534 27 vibration vibration NN 35024 534 28 of of IN 35024 534 29 the the DT 35024 534 30 stand stand NN 35024 534 31 with with IN 35024 534 32 the the DT 35024 534 33 pendulum pendulum NN 35024 534 34 . . . 35024 535 1 He -PRON- PRP 35024 535 2 showed show VBD 35024 535 3 that that IN 35024 535 4 the the DT 35024 535 5 popular popular JJ 35024 535 6 Bessel Bessel NNP 35024 535 7 - - HYPH 35024 535 8 Repsold Repsold NNP 35024 535 9 apparatus apparatus NN 35024 535 10 was be VBD 35024 535 11 subject subject JJ 35024 535 12 to to IN 35024 535 13 such such PDT 35024 535 14 an an DT 35024 535 15 error error NN 35024 535 16 . . . 35024 536 1 His -PRON- PRP$ 35024 536 2 own own JJ 35024 536 3 pendulums pendulum NNS 35024 536 4 were be VBD 35024 536 5 swung swing VBN 35024 536 6 from from IN 35024 536 7 a a DT 35024 536 8 simple simple JJ 35024 536 9 but but CC 35024 536 10 rugged rugged JJ 35024 536 11 wooden wooden JJ 35024 536 12 frame frame NN 35024 536 13 to to TO 35024 536 14 which which WDT 35024 536 15 a a DT 35024 536 16 hardened harden VBN 35024 536 17 steel steel NN 35024 536 18 bearing bearing NN 35024 536 19 was be VBD 35024 536 20 fixed fix VBN 35024 536 21 . . . 35024 536 22 ] ] -RRB- 35024 537 1 Another another DT 35024 537 2 novel novel JJ 35024 537 3 characteristic characteristic NN 35024 537 4 of of IN 35024 537 5 the the DT 35024 537 6 Peirce Peirce NNP 35024 537 7 pendulums pendulums NNPS 35024 537 8 was be VBD 35024 537 9 the the DT 35024 537 10 mainly mainly RB 35024 537 11 cylindrical cylindrical JJ 35024 537 12 form form NN 35024 537 13 . . . 35024 538 1 Prof. Prof. NNP 35024 538 2 George George NNP 35024 538 3 Gabriel Gabriel NNP 35024 538 4 Stokes Stokes NNP 35024 538 5 , , , 35024 538 6 in in IN 35024 538 7 a a DT 35024 538 8 paper paper NN 35024 538 9 " " `` 35024 538 10 On on IN 35024 538 11 the the DT 35024 538 12 Effect Effect NNP 35024 538 13 of of IN 35024 538 14 the the DT 35024 538 15 Internal Internal NNP 35024 538 16 Friction Friction NNP 35024 538 17 of of IN 35024 538 18 Fluids Fluids NNP 35024 538 19 on on IN 35024 538 20 the the DT 35024 538 21 Motion Motion NNP 35024 538 22 of of IN 35024 538 23 Pendulums"[77 Pendulums"[77 NNP 35024 538 24 ] ] -RRB- 35024 538 25 that that DT 35024 538 26 was be VBD 35024 538 27 read read VBN 35024 538 28 to to IN 35024 538 29 the the DT 35024 538 30 Cambridge Cambridge NNP 35024 538 31 Philosophical Philosophical NNP 35024 538 32 Society Society NNP 35024 538 33 on on IN 35024 538 34 December December NNP 35024 538 35 9 9 CD 35024 538 36 , , , 35024 538 37 1850 1850 CD 35024 538 38 , , , 35024 538 39 had have VBD 35024 538 40 solved solve VBN 35024 538 41 the the DT 35024 538 42 hydrodynamical hydrodynamical JJ 35024 538 43 equations equation NNS 35024 538 44 to to TO 35024 538 45 obtain obtain VB 35024 538 46 the the DT 35024 538 47 resistance resistance NN 35024 538 48 to to IN 35024 538 49 the the DT 35024 538 50 motions motion NNS 35024 538 51 of of IN 35024 538 52 a a DT 35024 538 53 sphere sphere NN 35024 538 54 and and CC 35024 538 55 a a DT 35024 538 56 cylinder cylinder NN 35024 538 57 in in IN 35024 538 58 a a DT 35024 538 59 viscous viscous JJ 35024 538 60 fluid fluid NN 35024 538 61 . . . 35024 539 1 Peirce Peirce NNP 35024 539 2 had have VBD 35024 539 3 studied study VBN 35024 539 4 the the DT 35024 539 5 effect effect NN 35024 539 6 of of IN 35024 539 7 viscous viscous JJ 35024 539 8 resistance resistance NN 35024 539 9 on on IN 35024 539 10 the the DT 35024 539 11 motion motion NN 35024 539 12 of of IN 35024 539 13 his -PRON- PRP$ 35024 539 14 Repsold Repsold NNP 35024 539 15 - - HYPH 35024 539 16 Bessel Bessel NNP 35024 539 17 pendulum pendulum NN 35024 539 18 , , , 35024 539 19 which which WDT 35024 539 20 was be VBD 35024 539 21 symmetrical symmetrical JJ 35024 539 22 in in IN 35024 539 23 form form NN 35024 539 24 but but CC 35024 539 25 not not RB 35024 539 26 cylindrical cylindrical JJ 35024 539 27 . . . 35024 540 1 The the DT 35024 540 2 mainly mainly RB 35024 540 3 cylindrical cylindrical JJ 35024 540 4 form form NN 35024 540 5 of of IN 35024 540 6 his -PRON- PRP$ 35024 540 7 pendulums pendulum NNS 35024 540 8 ( ( -LRB- 35024 540 9 fig fig NN 35024 540 10 . . . 35024 541 1 19 19 CD 35024 541 2 ) ) -RRB- 35024 541 3 permitted permit VBD 35024 541 4 Peirce Peirce NNP 35024 541 5 to to TO 35024 541 6 predict predict VB 35024 541 7 from from IN 35024 541 8 Stokes Stokes NNP 35024 541 9 ' ' POS 35024 541 10 theory theory NN 35024 541 11 the the DT 35024 541 12 effect effect NN 35024 541 13 of of IN 35024 541 14 viscosity viscosity NN 35024 541 15 and and CC 35024 541 16 to to TO 35024 541 17 compare compare VB 35024 541 18 the the DT 35024 541 19 results result NNS 35024 541 20 with with IN 35024 541 21 experiment experiment NN 35024 541 22 . . . 35024 542 1 His -PRON- PRP$ 35024 542 2 report report NN 35024 542 3 of of IN 35024 542 4 November November NNP 35024 542 5 20 20 CD 35024 542 6 , , , 35024 542 7 1889 1889 CD 35024 542 8 , , , 35024 542 9 in in IN 35024 542 10 which which WDT 35024 542 11 he -PRON- PRP 35024 542 12 presented present VBD 35024 542 13 the the DT 35024 542 14 comparison comparison NN 35024 542 15 of of IN 35024 542 16 experimental experimental JJ 35024 542 17 results result NNS 35024 542 18 with with IN 35024 542 19 the the DT 35024 542 20 theory theory NN 35024 542 21 of of IN 35024 542 22 Stokes Stokes NNP 35024 542 23 , , , 35024 542 24 was be VBD 35024 542 25 not not RB 35024 542 26 published publish VBN 35024 542 27 . . . 35024 543 1 [ [ -LRB- 35024 543 2 78 78 CD 35024 543 3 ] ] -RRB- 35024 543 4 Peirce Peirce NNP 35024 543 5 used use VBD 35024 543 6 his -PRON- PRP$ 35024 543 7 pendulums pendulum NNS 35024 543 8 in in IN 35024 543 9 1883 1883 CD 35024 543 10 to to TO 35024 543 11 establish establish VB 35024 543 12 a a DT 35024 543 13 station station NN 35024 543 14 at at IN 35024 543 15 the the DT 35024 543 16 Smithsonian Smithsonian NNP 35024 543 17 Institution Institution NNP 35024 543 18 that that WDT 35024 543 19 was be VBD 35024 543 20 to to TO 35024 543 21 serve serve VB 35024 543 22 as as IN 35024 543 23 the the DT 35024 543 24 base base NN 35024 543 25 station station NN 35024 543 26 for for IN 35024 543 27 the the DT 35024 543 28 Coast Coast NNP 35024 543 29 and and CC 35024 543 30 Geodetic Geodetic NNP 35024 543 31 Survey Survey NNP 35024 543 32 for for IN 35024 543 33 some some DT 35024 543 34 years year NNS 35024 543 35 . . . 35024 544 1 Pendulum Pendulum NNP 35024 544 2 Peirce Peirce NNP 35024 544 3 no no UH 35024 544 4 . . . 35024 545 1 1 1 CD 35024 545 2 was be VBD 35024 545 3 swung swing VBN 35024 545 4 at at IN 35024 545 5 Washington Washington NNP 35024 545 6 in in IN 35024 545 7 1881 1881 CD 35024 545 8 and and CC 35024 545 9 was be VBD 35024 545 10 then then RB 35024 545 11 taken take VBN 35024 545 12 by by IN 35024 545 13 the the DT 35024 545 14 party party NN 35024 545 15 of of IN 35024 545 16 Lieutenant Lieutenant NNP 35024 545 17 Greely Greely NNP 35024 545 18 , , , 35024 545 19 U.S.A. U.S.A. NNP 35024 545 20 , , , 35024 545 21 on on IN 35024 545 22 an an DT 35024 545 23 expedition expedition NN 35024 545 24 to to IN 35024 545 25 Lady Lady NNP 35024 545 26 Franklin Franklin NNP 35024 545 27 Bay Bay NNP 35024 545 28 where where WRB 35024 545 29 it -PRON- PRP 35024 545 30 was be VBD 35024 545 31 swung swing VBN 35024 545 32 in in IN 35024 545 33 1882 1882 CD 35024 545 34 at at IN 35024 545 35 Fort Fort NNP 35024 545 36 Conger Conger NNP 35024 545 37 , , , 35024 545 38 Grinnell Grinnell NNP 35024 545 39 Land Land NNP 35024 545 40 , , , 35024 545 41 Canada Canada NNP 35024 545 42 . . . 35024 546 1 Peirce Peirce NNP 35024 546 2 nos nos NNP 35024 546 3 . . . 35024 547 1 2 2 CD 35024 547 2 and and CC 35024 547 3 3 3 CD 35024 547 4 were be VBD 35024 547 5 swung swing VBN 35024 547 6 by by IN 35024 547 7 Peirce Peirce NNP 35024 547 8 in in IN 35024 547 9 1882 1882 CD 35024 547 10 at at IN 35024 547 11 Washington Washington NNP 35024 547 12 , , , 35024 547 13 D.C. D.C. NNP 35024 547 14 ; ; : 35024 547 15 Hoboken Hoboken NNP 35024 547 16 , , , 35024 547 17 New New NNP 35024 547 18 Jersey Jersey NNP 35024 547 19 ; ; : 35024 547 20 Montreal Montreal NNP 35024 547 21 , , , 35024 547 22 Canada Canada NNP 35024 547 23 ; ; : 35024 547 24 and and CC 35024 547 25 Albany Albany NNP 35024 547 26 , , , 35024 547 27 New New NNP 35024 547 28 York York NNP 35024 547 29 . . . 35024 548 1 Assistant Assistant NNP 35024 548 2 Preston Preston NNP 35024 548 3 took take VBD 35024 548 4 Peirce Peirce NNP 35024 548 5 no no UH 35024 548 6 . . . 35024 549 1 3 3 CD 35024 549 2 on on IN 35024 549 3 a a DT 35024 549 4 U.S. U.S. NNP 35024 549 5 eclipse eclipse NN 35024 549 6 expedition expedition NN 35024 549 7 to to IN 35024 549 8 the the DT 35024 549 9 Caroline Caroline NNP 35024 549 10 Islands Islands NNPS 35024 549 11 in in IN 35024 549 12 1883 1883 CD 35024 549 13 . . . 35024 550 1 Peirce peirce NN 35024 550 2 in in IN 35024 550 3 1885 1885 CD 35024 550 4 swung swung NNP 35024 550 5 pendulums pendulum NNS 35024 550 6 nos nos RB 35024 550 7 . . . 35024 551 1 2 2 CD 35024 551 2 and and CC 35024 551 3 3 3 CD 35024 551 4 at at IN 35024 551 5 Ann Ann NNP 35024 551 6 Arbor Arbor NNP 35024 551 7 , , , 35024 551 8 Michigan Michigan NNP 35024 551 9 ; ; : 35024 551 10 Madison Madison NNP 35024 551 11 , , , 35024 551 12 Wisconsin Wisconsin NNP 35024 551 13 ; ; : 35024 551 14 and and CC 35024 551 15 Ithaca Ithaca NNP 35024 551 16 , , , 35024 551 17 New New NNP 35024 551 18 York York NNP 35024 551 19 . . . 35024 552 1 Assistant Assistant NNP 35024 552 2 Preston Preston NNP 35024 552 3 in in IN 35024 552 4 1887 1887 CD 35024 552 5 swung swing VBD 35024 552 6 Peirce Peirce NNP 35024 552 7 nos nos NNP 35024 552 8 . . . 35024 553 1 3 3 CD 35024 553 2 and and CC 35024 553 3 4 4 CD 35024 553 4 at at IN 35024 553 5 stations station NNS 35024 553 6 in in IN 35024 553 7 the the DT 35024 553 8 Hawaiian Hawaiian NNP 35024 553 9 Islands Islands NNPS 35024 553 10 , , , 35024 553 11 and and CC 35024 553 12 in in IN 35024 553 13 1890 1890 CD 35024 553 14 he -PRON- PRP 35024 553 15 swung swing VBD 35024 553 16 Peirce Peirce NNP 35024 553 17 nos nos NNP 35024 553 18 . . . 35024 554 1 3 3 CD 35024 554 2 and and CC 35024 554 3 4 4 CD 35024 554 4 at at IN 35024 554 5 stations station NNS 35024 554 6 on on IN 35024 554 7 the the DT 35024 554 8 west west JJ 35024 554 9 coast coast NN 35024 554 10 of of IN 35024 554 11 Africa Africa NNP 35024 554 12 . . . 35024 555 1 [ [ -LRB- 35024 555 2 79 79 CD 35024 555 3 ] ] -RRB- 35024 555 4 The the DT 35024 555 5 new new JJ 35024 555 6 pattern pattern NN 35024 555 7 of of IN 35024 555 8 pendulum pendulum NN 35024 555 9 designed design VBN 35024 555 10 by by IN 35024 555 11 Peirce Peirce NNP 35024 555 12 was be VBD 35024 555 13 also also RB 35024 555 14 adopted adopt VBN 35024 555 15 in in IN 35024 555 16 France France NNP 35024 555 17 , , , 35024 555 18 after after IN 35024 555 19 some some DT 35024 555 20 years year NNS 35024 555 21 of of IN 35024 555 22 experience experience NN 35024 555 23 with with IN 35024 555 24 a a DT 35024 555 25 Repsold Repsold NNP 35024 555 26 - - HYPH 35024 555 27 Bessel Bessel NNP 35024 555 28 pendulum pendulum NN 35024 555 29 . . . 35024 556 1 Peirce peirce NN 35024 556 2 in in IN 35024 556 3 1875 1875 CD 35024 556 4 had have VBD 35024 556 5 swung swing VBN 35024 556 6 his -PRON- PRP$ 35024 556 7 Repsold Repsold NNP 35024 556 8 - - HYPH 35024 556 9 Bessel Bessel NNP 35024 556 10 pendulum pendulum NN 35024 556 11 at at IN 35024 556 12 the the DT 35024 556 13 observatory observatory NN 35024 556 14 in in IN 35024 556 15 Paris Paris NNP 35024 556 16 , , , 35024 556 17 where where WRB 35024 556 18 Borda Borda NNP 35024 556 19 and and CC 35024 556 20 Cassini Cassini NNP 35024 556 21 , , , 35024 556 22 and and CC 35024 556 23 Biot Biot NNP 35024 556 24 , , , 35024 556 25 had have VBD 35024 556 26 made make VBN 35024 556 27 historic historic JJ 35024 556 28 observations observation NNS 35024 556 29 and and CC 35024 556 30 where where WRB 35024 556 31 Sabine Sabine NNP 35024 556 32 also also RB 35024 556 33 had have VBD 35024 556 34 determined determine VBN 35024 556 35 gravity gravity NN 35024 556 36 by by IN 35024 556 37 comparison comparison NN 35024 556 38 with with IN 35024 556 39 Kater Kater NNP 35024 556 40 's 's POS 35024 556 41 value value NN 35024 556 42 at at IN 35024 556 43 London London NNP 35024 556 44 . . . 35024 557 1 During during IN 35024 557 2 the the DT 35024 557 3 spring spring NN 35024 557 4 of of IN 35024 557 5 1880 1880 CD 35024 557 6 , , , 35024 557 7 Peirce Peirce NNP 35024 557 8 made make VBD 35024 557 9 studies study NNS 35024 557 10 of of IN 35024 557 11 the the DT 35024 557 12 supports support NNS 35024 557 13 for for IN 35024 557 14 the the DT 35024 557 15 pendulums pendulum NNS 35024 557 16 of of IN 35024 557 17 these these DT 35024 557 18 earlier early JJR 35024 557 19 determinations determination NNS 35024 557 20 and and CC 35024 557 21 calculated calculate VBN 35024 557 22 corrections correction NNS 35024 557 23 to to IN 35024 557 24 those those DT 35024 557 25 results result NNS 35024 557 26 for for IN 35024 557 27 hydrodynamic hydrodynamic JJ 35024 557 28 effects effect NNS 35024 557 29 , , , 35024 557 30 viscosity viscosity NN 35024 557 31 , , , 35024 557 32 and and CC 35024 557 33 flexure flexure NN 35024 557 34 . . . 35024 558 1 On on IN 35024 558 2 June June NNP 35024 558 3 14 14 CD 35024 558 4 , , , 35024 558 5 1880 1880 CD 35024 558 6 , , , 35024 558 7 Peirce Peirce NNP 35024 558 8 addressed address VBD 35024 558 9 the the DT 35024 558 10 Academy Academy NNP 35024 558 11 of of IN 35024 558 12 Sciences Sciences NNPS 35024 558 13 , , , 35024 558 14 Paris Paris NNP 35024 558 15 , , , 35024 558 16 on on IN 35024 558 17 the the DT 35024 558 18 value value NN 35024 558 19 of of IN 35024 558 20 gravity gravity NN 35024 558 21 at at IN 35024 558 22 Paris Paris NNP 35024 558 23 , , , 35024 558 24 and and CC 35024 558 25 compared compare VBD 35024 558 26 his -PRON- PRP$ 35024 558 27 results result NNS 35024 558 28 with with IN 35024 558 29 the the DT 35024 558 30 corrected correct VBN 35024 558 31 results result NNS 35024 558 32 of of IN 35024 558 33 Borda Borda NNP 35024 558 34 and and CC 35024 558 35 Biot Biot NNP 35024 558 36 and and CC 35024 558 37 with with IN 35024 558 38 the the DT 35024 558 39 transferred transfer VBN 35024 558 40 value value NN 35024 558 41 of of IN 35024 558 42 Kater Kater NNP 35024 558 43 . . . 35024 559 1 [ [ -LRB- 35024 559 2 80 80 CD 35024 559 3 ] ] -RRB- 35024 559 4 In in IN 35024 559 5 the the DT 35024 559 6 same same JJ 35024 559 7 year year NN 35024 559 8 the the DT 35024 559 9 French French NNP 35024 559 10 Geographic Geographic NNP 35024 559 11 Service Service NNP 35024 559 12 of of IN 35024 559 13 the the DT 35024 559 14 Army Army NNP 35024 559 15 acquired acquire VBD 35024 559 16 a a DT 35024 559 17 Repsold Repsold NNP 35024 559 18 - - HYPH 35024 559 19 Bessel Bessel NNP 35024 559 20 reversible reversible NN 35024 559 21 pendulum pendulum NN 35024 559 22 of of IN 35024 559 23 the the DT 35024 559 24 smaller small JJR 35024 559 25 type type NN 35024 559 26 , , , 35024 559 27 and and CC 35024 559 28 Defforges Defforges NNP 35024 559 29 conducted conduct VBD 35024 559 30 experiments experiment NNS 35024 559 31 with with IN 35024 559 32 it -PRON- PRP 35024 559 33 . . . 35024 560 1 [ [ -LRB- 35024 560 2 81 81 CD 35024 560 3 ] ] -RRB- 35024 560 4 He -PRON- PRP 35024 560 5 introduced introduce VBD 35024 560 6 the the DT 35024 560 7 method method NN 35024 560 8 of of IN 35024 560 9 measuring measure VBG 35024 560 10 flexure flexure NN 35024 560 11 from from IN 35024 560 12 the the DT 35024 560 13 movement movement NN 35024 560 14 of of IN 35024 560 15 interference interference NN 35024 560 16 fringes fringe NNS 35024 560 17 during during IN 35024 560 18 motion motion NN 35024 560 19 of of IN 35024 560 20 the the DT 35024 560 21 pendulum pendulum NN 35024 560 22 . . . 35024 561 1 He -PRON- PRP 35024 561 2 found find VBD 35024 561 3 an an DT 35024 561 4 appreciable appreciable JJ 35024 561 5 difference difference NN 35024 561 6 between between IN 35024 561 7 dynamical dynamical JJ 35024 561 8 and and CC 35024 561 9 statical statical JJ 35024 561 10 coefficients coefficient NNS 35024 561 11 of of IN 35024 561 12 flexure flexure NN 35024 561 13 and and CC 35024 561 14 concluded conclude VBD 35024 561 15 that that IN 35024 561 16 the the DT 35024 561 17 " " `` 35024 561 18 correction correction NN 35024 561 19 formula formula NN 35024 561 20 of of IN 35024 561 21 Peirce Peirce NNP 35024 561 22 and and CC 35024 561 23 Cellérier Cellérier NNP 35024 561 24 is be VBZ 35024 561 25 suited suit VBN 35024 561 26 perfectly perfectly RB 35024 561 27 to to TO 35024 561 28 practice practice VB 35024 561 29 and and CC 35024 561 30 represents represent VBZ 35024 561 31 exactly exactly RB 35024 561 32 the the DT 35024 561 33 variation variation NN 35024 561 34 of of IN 35024 561 35 period period NN 35024 561 36 caused cause VBN 35024 561 37 by by IN 35024 561 38 swaying swaying NN 35024 561 39 of of IN 35024 561 40 the the DT 35024 561 41 support support NN 35024 561 42 , , , 35024 561 43 on on IN 35024 561 44 the the DT 35024 561 45 condition condition NN 35024 561 46 that that IN 35024 561 47 one one PRP 35024 561 48 uses use VBZ 35024 561 49 the the DT 35024 561 50 statical statical JJ 35024 561 51 coefficient coefficient NN 35024 561 52 . . . 35024 561 53 " " '' 35024 562 1 Defforges defforge NNS 35024 562 2 developed develop VBD 35024 562 3 a a DT 35024 562 4 theory theory NN 35024 562 5 for for IN 35024 562 6 the the DT 35024 562 7 employment employment NN 35024 562 8 of of IN 35024 562 9 two two CD 35024 562 10 similar similar JJ 35024 562 11 pendulums pendulum NNS 35024 562 12 of of IN 35024 562 13 the the DT 35024 562 14 same same JJ 35024 562 15 weight weight NN 35024 562 16 , , , 35024 562 17 but but CC 35024 562 18 of of IN 35024 562 19 different different JJ 35024 562 20 length length NN 35024 562 21 , , , 35024 562 22 and and CC 35024 562 23 hung hang VBN 35024 562 24 by by IN 35024 562 25 the the DT 35024 562 26 same same JJ 35024 562 27 knives knife NNS 35024 562 28 . . . 35024 563 1 This this DT 35024 563 2 theory theory NN 35024 563 3 eliminated eliminate VBD 35024 563 4 the the DT 35024 563 5 flexure flexure NN 35024 563 6 of of IN 35024 563 7 the the DT 35024 563 8 support support NN 35024 563 9 and and CC 35024 563 10 the the DT 35024 563 11 curvature curvature NN 35024 563 12 of of IN 35024 563 13 the the DT 35024 563 14 knives knife NNS 35024 563 15 from from IN 35024 563 16 the the DT 35024 563 17 reduction reduction NN 35024 563 18 of of IN 35024 563 19 observations observation NNS 35024 563 20 . . . 35024 564 1 Pendulums pendulum NNS 35024 564 2 of of IN 35024 564 3 1-meter 1-meter CD 35024 564 4 and and CC 35024 564 5 of of IN 35024 564 6 1/2-meter 1/2-meter CD 35024 564 7 distance distance NN 35024 564 8 between between IN 35024 564 9 the the DT 35024 564 10 knife knife NN 35024 564 11 edges edge NNS 35024 564 12 were be VBD 35024 564 13 constructed construct VBN 35024 564 14 from from IN 35024 564 15 Defforges Defforges NNP 35024 564 16 ' ' POS 35024 564 17 design design NN 35024 564 18 by by IN 35024 564 19 Brunner Brunner NNP 35024 564 20 Brothers Brothers NNPS 35024 564 21 in in IN 35024 564 22 Paris Paris NNP 35024 564 23 ( ( -LRB- 35024 564 24 fig fig NN 35024 564 25 . . . 35024 565 1 21 21 CD 35024 565 2 ) ) -RRB- 35024 565 3 . . . 35024 566 1 These these DT 35024 566 2 Defforges Defforges NNP 35024 566 3 pendulums pendulum NNS 35024 566 4 were be VBD 35024 566 5 cylindrical cylindrical JJ 35024 566 6 in in IN 35024 566 7 form form NN 35024 566 8 with with IN 35024 566 9 hemispherical hemispherical JJ 35024 566 10 ends end NNS 35024 566 11 like like IN 35024 566 12 the the DT 35024 566 13 Peirce Peirce NNP 35024 566 14 pendulums pendulum NNS 35024 566 15 , , , 35024 566 16 and and CC 35024 566 17 were be VBD 35024 566 18 hung hang VBN 35024 566 19 on on IN 35024 566 20 knives knife NNS 35024 566 21 that that WDT 35024 566 22 projected project VBD 35024 566 23 from from IN 35024 566 24 the the DT 35024 566 25 sides side NNS 35024 566 26 of of IN 35024 566 27 the the DT 35024 566 28 pendulum pendulum NN 35024 566 29 , , , 35024 566 30 as as IN 35024 566 31 in in IN 35024 566 32 some some DT 35024 566 33 unfinished unfinished JJ 35024 566 34 Gautier Gautier NNP 35024 566 35 pendulums pendulum NNS 35024 566 36 designed design VBN 35024 566 37 by by IN 35024 566 38 Peirce Peirce NNP 35024 566 39 in in IN 35024 566 40 1883 1883 CD 35024 566 41 in in IN 35024 566 42 Paris Paris NNP 35024 566 43 . . . 35024 567 1 [ [ -LRB- 35024 567 2 Illustration illustration NN 35024 567 3 : : : 35024 567 4 Figure figure NN 35024 567 5 21.--REVERSIBLE 21.--reversible CD 35024 567 6 PENDULUM PENDULUM NNS 35024 567 7 APPARATUS apparatus NNS 35024 567 8 of of IN 35024 567 9 Defforges Defforges NNPS 35024 567 10 , , , 35024 567 11 as as IN 35024 567 12 constructed construct VBN 35024 567 13 by by IN 35024 567 14 Brunner Brunner NNP 35024 567 15 , , , 35024 567 16 Paris Paris NNP 35024 567 17 , , , 35024 567 18 about about RB 35024 567 19 1887 1887 CD 35024 567 20 . . . 35024 568 1 The the DT 35024 568 2 clock clock NN 35024 568 3 and and CC 35024 568 4 telescope telescope NN 35024 568 5 used use VBN 35024 568 6 to to TO 35024 568 7 observe observe VB 35024 568 8 coincidences coincidence NNS 35024 568 9 are be VBP 35024 568 10 not not RB 35024 568 11 shown show VBN 35024 568 12 . . . 35024 569 1 The the DT 35024 569 2 telescope telescope NN 35024 569 3 shown show VBN 35024 569 4 is be VBZ 35024 569 5 part part NN 35024 569 6 of of IN 35024 569 7 an an DT 35024 569 8 interferometer interferometer NN 35024 569 9 used use VBN 35024 569 10 to to TO 35024 569 11 measure measure VB 35024 569 12 flexure flexure NN 35024 569 13 of of IN 35024 569 14 the the DT 35024 569 15 support support NN 35024 569 16 . . . 35024 570 1 One one CD 35024 570 2 mirror mirror NN 35024 570 3 of of IN 35024 570 4 the the DT 35024 570 5 interferometer interferometer NN 35024 570 6 is be VBZ 35024 570 7 attached attach VBN 35024 570 8 to to IN 35024 570 9 the the DT 35024 570 10 pendulum pendulum NN 35024 570 11 support support NN 35024 570 12 ; ; : 35024 570 13 the the DT 35024 570 14 other other JJ 35024 570 15 to to IN 35024 570 16 the the DT 35024 570 17 separate separate JJ 35024 570 18 masonry masonry NN 35024 570 19 pillar pillar NN 35024 570 20 at at IN 35024 570 21 the the DT 35024 570 22 left left NN 35024 570 23 . . . 35024 570 24 ] ] -RRB- 35024 571 1 [ [ -LRB- 35024 571 2 Illustration illustration NN 35024 571 3 : : : 35024 571 4 Figure figure VB 35024 571 5 22.--BECAUSE 22.--because CD 35024 571 6 OF of IN 35024 571 7 THE the DT 35024 571 8 GREATER GREATER NNP 35024 571 9 SIMPLICITY SIMPLICITY NNP 35024 571 10 of of IN 35024 571 11 its -PRON- PRP$ 35024 571 12 use use NN 35024 571 13 , , , 35024 571 14 the the DT 35024 571 15 invariable invariable JJ 35024 571 16 pendulum pendulum NN 35024 571 17 superseded supersede VBD 35024 571 18 the the DT 35024 571 19 convertible convertible JJ 35024 571 20 pendulum pendulum NN 35024 571 21 towards towards IN 35024 571 22 the the DT 35024 571 23 end end NN 35024 571 24 of of IN 35024 571 25 the the DT 35024 571 26 19th 19th JJ 35024 571 27 century century NN 35024 571 28 , , , 35024 571 29 except except IN 35024 571 30 at at IN 35024 571 31 various various JJ 35024 571 32 national national JJ 35024 571 33 base base NN 35024 571 34 stations station NNS 35024 571 35 ( ( -LRB- 35024 571 36 Kew Kew NNP 35024 571 37 , , , 35024 571 38 Paris Paris NNP 35024 571 39 , , , 35024 571 40 Potsdam Potsdam NNP 35024 571 41 , , , 35024 571 42 Washington Washington NNP 35024 571 43 , , , 35024 571 44 D.C. D.C. NNP 35024 571 45 , , , 35024 571 46 etc etc FW 35024 571 47 . . . 35024 571 48 ) ) -RRB- 35024 571 49 . . . 35024 572 1 Shown show VBN 35024 572 2 here here RB 35024 572 3 are be VBP 35024 572 4 , , , 35024 572 5 right right RB 35024 572 6 to to IN 35024 572 7 left left NN 35024 572 8 , , , 35024 572 9 a a DT 35024 572 10 pendulum pendulum NN 35024 572 11 of of IN 35024 572 12 the the DT 35024 572 13 type type NN 35024 572 14 used use VBN 35024 572 15 by by IN 35024 572 16 Peirce Peirce NNP 35024 572 17 at at IN 35024 572 18 the the DT 35024 572 19 Hoosac Hoosac NNP 35024 572 20 Tunnel Tunnel NNP 35024 572 21 in in IN 35024 572 22 1873 1873 CD 35024 572 23 - - SYM 35024 572 24 74 74 CD 35024 572 25 , , , 35024 572 26 the the DT 35024 572 27 Mendenhall Mendenhall NNP 35024 572 28 1/2-second 1/2-second CD 35024 572 29 pendulum pendulum NN 35024 572 30 of of IN 35024 572 31 1890 1890 CD 35024 572 32 , , , 35024 572 33 and and CC 35024 572 34 the the DT 35024 572 35 pendulum pendulum NN 35024 572 36 designed design VBN 35024 572 37 by by IN 35024 572 38 Peirce Peirce NNP 35024 572 39 in in IN 35024 572 40 1881 1881 CD 35024 572 41 - - SYM 35024 572 42 1882 1882 CD 35024 572 43 . . . 35024 572 44 ] ] -RRB- 35024 573 1 [ [ -LRB- 35024 573 2 Illustration illustration NN 35024 573 3 : : : 35024 573 4 Figure figure NN 35024 573 5 23.--THE 23.--the CD 35024 573 6 OVERALL overall JJ 35024 573 7 SIZE size NN 35024 573 8 of of IN 35024 573 9 portable portable JJ 35024 573 10 pendulum pendulum NN 35024 573 11 apparatus apparatus NN 35024 573 12 was be VBD 35024 573 13 greatly greatly RB 35024 573 14 reduced reduce VBN 35024 573 15 with with IN 35024 573 16 the the DT 35024 573 17 introduction introduction NN 35024 573 18 of of IN 35024 573 19 this this DT 35024 573 20 1/2-second 1/2-second CD 35024 573 21 apparatus apparatus NN 35024 573 22 in in IN 35024 573 23 1887 1887 CD 35024 573 24 , , , 35024 573 25 by by IN 35024 573 26 the the DT 35024 573 27 Austrian austrian JJ 35024 573 28 military military JJ 35024 573 29 officer officer NN 35024 573 30 , , , 35024 573 31 Robert Robert NNP 35024 573 32 von von NNP 35024 573 33 Sterneck Sterneck NNP 35024 573 34 . . . 35024 574 1 Used use VBN 35024 574 2 with with IN 35024 574 3 a a DT 35024 574 4 vacuum vacuum NN 35024 574 5 chamber chamber NN 35024 574 6 not not RB 35024 574 7 shown show VBN 35024 574 8 here here RB 35024 574 9 , , , 35024 574 10 the the DT 35024 574 11 apparatus apparatus NN 35024 574 12 is be VBZ 35024 574 13 only only RB 35024 574 14 about about RB 35024 574 15 2 2 CD 35024 574 16 feet foot NNS 35024 574 17 high high JJ 35024 574 18 . . . 35024 575 1 Coincidences coincidence NNS 35024 575 2 are be VBP 35024 575 3 observed observe VBN 35024 575 4 by by IN 35024 575 5 the the DT 35024 575 6 reflection reflection NN 35024 575 7 of of IN 35024 575 8 a a DT 35024 575 9 periodic periodic JJ 35024 575 10 electric electric JJ 35024 575 11 spark spark NN 35024 575 12 in in IN 35024 575 13 two two CD 35024 575 14 mirrors mirror NNS 35024 575 15 , , , 35024 575 16 one one CD 35024 575 17 on on IN 35024 575 18 the the DT 35024 575 19 support support NN 35024 575 20 and and CC 35024 575 21 the the DT 35024 575 22 other other JJ 35024 575 23 on on IN 35024 575 24 the the DT 35024 575 25 pendulum pendulum NN 35024 575 26 itself -PRON- PRP 35024 575 27 . . . 35024 575 28 ] ] -RRB- 35024 576 1 [ [ -LRB- 35024 576 2 Illustration illustration NN 35024 576 3 : : : 35024 576 4 Figure figure NN 35024 576 5 24.--THOMAS 24.--thomas NN 35024 576 6 C. C. NNP 35024 576 7 MENDENHALL MENDENHALL NNP 35024 576 8 ( ( -LRB- 35024 576 9 1841 1841 CD 35024 576 10 - - SYM 35024 576 11 1924 1924 CD 35024 576 12 ) ) -RRB- 35024 576 13 . . . 35024 577 1 Although although IN 35024 577 2 largely largely RB 35024 577 3 self self NN 35024 577 4 - - HYPH 35024 577 5 educated educate VBN 35024 577 6 , , , 35024 577 7 he -PRON- PRP 35024 577 8 became become VBD 35024 577 9 the the DT 35024 577 10 first first JJ 35024 577 11 professor professor NN 35024 577 12 of of IN 35024 577 13 physics physics NN 35024 577 14 and and CC 35024 577 15 mechanics mechanic NNS 35024 577 16 at at IN 35024 577 17 the the DT 35024 577 18 Ohio Ohio NNP 35024 577 19 Agricultural Agricultural NNP 35024 577 20 and and CC 35024 577 21 Mechanical Mechanical NNP 35024 577 22 College College NNP 35024 577 23 ( ( -LRB- 35024 577 24 later later RB 35024 577 25 Ohio Ohio NNP 35024 577 26 State State NNP 35024 577 27 University University NNP 35024 577 28 ) ) -RRB- 35024 577 29 , , , 35024 577 30 and and CC 35024 577 31 was be VBD 35024 577 32 subsequently subsequently RB 35024 577 33 connected connect VBN 35024 577 34 with with IN 35024 577 35 several several JJ 35024 577 36 other other JJ 35024 577 37 universities university NNS 35024 577 38 . . . 35024 578 1 In in IN 35024 578 2 1878 1878 CD 35024 578 3 , , , 35024 578 4 while while IN 35024 578 5 teaching teach VBG 35024 578 6 at at IN 35024 578 7 the the DT 35024 578 8 Tokyo Tokyo NNP 35024 578 9 Imperial Imperial NNP 35024 578 10 University University NNP 35024 578 11 in in IN 35024 578 12 Japan Japan NNP 35024 578 13 , , , 35024 578 14 he -PRON- PRP 35024 578 15 made make VBD 35024 578 16 gravity gravity NN 35024 578 17 measurements measurement NNS 35024 578 18 between between IN 35024 578 19 Tokyo Tokyo NNP 35024 578 20 and and CC 35024 578 21 Fujiyama Fujiyama NNP 35024 578 22 from from IN 35024 578 23 which which WDT 35024 578 24 he -PRON- PRP 35024 578 25 calculated calculate VBD 35024 578 26 the the DT 35024 578 27 mean mean JJ 35024 578 28 density density NN 35024 578 29 of of IN 35024 578 30 the the DT 35024 578 31 earth earth NN 35024 578 32 . . . 35024 579 1 While while IN 35024 579 2 superintendent superintendent NN 35024 579 3 of of IN 35024 579 4 the the DT 35024 579 5 U.S. U.S. NNP 35024 579 6 Coast Coast NNP 35024 579 7 and and CC 35024 579 8 Geodetic Geodetic NNP 35024 579 9 Survey Survey NNP 35024 579 10 , , , 35024 579 11 1889 1889 CD 35024 579 12 - - SYM 35024 579 13 94 94 CD 35024 579 14 , , , 35024 579 15 he -PRON- PRP 35024 579 16 developed develop VBD 35024 579 17 the the DT 35024 579 18 pendulum pendulum NN 35024 579 19 apparatus apparatus NN 35024 579 20 which which WDT 35024 579 21 bears bear VBZ 35024 579 22 his -PRON- PRP$ 35024 579 23 name name NN 35024 579 24 . . . 35024 579 25 ] ] -RRB- 35024 580 1 Von Von NNP 35024 580 2 Sterneck Sterneck NNP 35024 580 3 and and CC 35024 580 4 Mendenhall Mendenhall NNP 35024 580 5 Pendulums Pendulums NNP 35024 580 6 While while IN 35024 580 7 scientists scientist NNS 35024 580 8 who who WP 35024 580 9 had have VBD 35024 580 10 used use VBN 35024 580 11 the the DT 35024 580 12 Repsold Repsold NNP 35024 580 13 - - HYPH 35024 580 14 Bessel Bessel NNP 35024 580 15 pendulum pendulum NN 35024 580 16 apparatus apparatus NN 35024 580 17 discussed discuss VBD 35024 580 18 its -PRON- PRP$ 35024 580 19 defects defect NNS 35024 580 20 and and CC 35024 580 21 limitations limitation NNS 35024 580 22 for for IN 35024 580 23 gravity gravity NN 35024 580 24 surveys survey NNS 35024 580 25 , , , 35024 580 26 Maj Maj NNP 35024 580 27 . . NNP 35024 580 28 Robert Robert NNP 35024 580 29 von von NNP 35024 580 30 Sterneck Sterneck NNP 35024 580 31 of of IN 35024 580 32 Austria Austria NNP 35024 580 33 - - HYPH 35024 580 34 Hungary Hungary NNP 35024 580 35 began begin VBD 35024 580 36 to to TO 35024 580 37 develop develop VB 35024 580 38 an an DT 35024 580 39 excellent excellent JJ 35024 580 40 apparatus apparatus NN 35024 580 41 for for IN 35024 580 42 the the DT 35024 580 43 rapid rapid JJ 35024 580 44 determination determination NN 35024 580 45 of of IN 35024 580 46 relative relative JJ 35024 580 47 values value NNS 35024 580 48 of of IN 35024 580 49 gravity gravity NN 35024 580 50 . . . 35024 581 1 [ [ -LRB- 35024 581 2 82 82 CD 35024 581 3 ] ] -RRB- 35024 581 4 Maj Maj NNP 35024 581 5 . . NNP 35024 581 6 von von NNP 35024 581 7 Sterneck Sterneck NNP 35024 581 8 's 's POS 35024 581 9 apparatus apparatus NN 35024 581 10 contained contain VBD 35024 581 11 a a DT 35024 581 12 nonreversible nonreversible JJ 35024 581 13 pendulum pendulum NN 35024 581 14 1/4-meter 1/4-meter CD 35024 581 15 in in IN 35024 581 16 length length NN 35024 581 17 , , , 35024 581 18 and and CC 35024 581 19 1/2-second 1/2-second CD 35024 581 20 time time NN 35024 581 21 of of IN 35024 581 22 swing swing NN 35024 581 23 . . . 35024 582 1 The the DT 35024 582 2 pendulum pendulum NN 35024 582 3 was be VBD 35024 582 4 hung hang VBN 35024 582 5 by by IN 35024 582 6 a a DT 35024 582 7 single single JJ 35024 582 8 knife knife NN 35024 582 9 edge edge NN 35024 582 10 , , , 35024 582 11 which which WDT 35024 582 12 rested rest VBD 35024 582 13 on on IN 35024 582 14 a a DT 35024 582 15 plate plate NN 35024 582 16 that that WDT 35024 582 17 was be VBD 35024 582 18 supported support VBN 35024 582 19 by by IN 35024 582 20 a a DT 35024 582 21 tripod tripod NN 35024 582 22 . . . 35024 583 1 The the DT 35024 583 2 pendulum pendulum NN 35024 583 3 was be VBD 35024 583 4 swung swing VBN 35024 583 5 in in IN 35024 583 6 a a DT 35024 583 7 chamber chamber NN 35024 583 8 from from IN 35024 583 9 which which WDT 35024 583 10 air air NN 35024 583 11 was be VBD 35024 583 12 exhausted exhaust VBN 35024 583 13 and and CC 35024 583 14 which which WDT 35024 583 15 could could MD 35024 583 16 be be VB 35024 583 17 maintained maintain VBN 35024 583 18 at at IN 35024 583 19 any any DT 35024 583 20 desired desire VBN 35024 583 21 temperature temperature NN 35024 583 22 . . . 35024 584 1 Times time NNS 35024 584 2 of of IN 35024 584 3 swing swing NN 35024 584 4 were be VBD 35024 584 5 determined determine VBN 35024 584 6 by by IN 35024 584 7 the the DT 35024 584 8 observation observation NN 35024 584 9 of of IN 35024 584 10 coincidences coincidence NNS 35024 584 11 of of IN 35024 584 12 the the DT 35024 584 13 pendulum pendulum NN 35024 584 14 with with IN 35024 584 15 chronometer chronometer NN 35024 584 16 signals signal NNS 35024 584 17 . . . 35024 585 1 In in IN 35024 585 2 the the DT 35024 585 3 final final JJ 35024 585 4 form form NN 35024 585 5 a a DT 35024 585 6 small small JJ 35024 585 7 mirror mirror NN 35024 585 8 was be VBD 35024 585 9 attached attach VBN 35024 585 10 to to IN 35024 585 11 the the DT 35024 585 12 knife knife NN 35024 585 13 edge edge NN 35024 585 14 perpendicular perpendicular JJ 35024 585 15 to to IN 35024 585 16 the the DT 35024 585 17 plane plane NN 35024 585 18 of of IN 35024 585 19 vibration vibration NN 35024 585 20 of of IN 35024 585 21 the the DT 35024 585 22 pendulum pendulum NN 35024 585 23 and and CC 35024 585 24 a a DT 35024 585 25 second second JJ 35024 585 26 fixed fix VBN 35024 585 27 mirror mirror NN 35024 585 28 was be VBD 35024 585 29 placed place VBN 35024 585 30 close close RB 35024 585 31 to to IN 35024 585 32 it -PRON- PRP 35024 585 33 so so IN 35024 585 34 that that IN 35024 585 35 the the DT 35024 585 36 two two CD 35024 585 37 mirrors mirror NNS 35024 585 38 were be VBD 35024 585 39 parallel parallel JJ 35024 585 40 when when WRB 35024 585 41 the the DT 35024 585 42 pendulum pendulum NN 35024 585 43 was be VBD 35024 585 44 at at IN 35024 585 45 rest rest NN 35024 585 46 . . . 35024 586 1 The the DT 35024 586 2 chronometer chronometer NN 35024 586 3 signals signal NNS 35024 586 4 worked work VBD 35024 586 5 a a DT 35024 586 6 relay relay NN 35024 586 7 that that WDT 35024 586 8 gave give VBD 35024 586 9 a a DT 35024 586 10 horizontal horizontal JJ 35024 586 11 spark spark NN 35024 586 12 which which WDT 35024 586 13 was be VBD 35024 586 14 reflected reflect VBN 35024 586 15 into into IN 35024 586 16 the the DT 35024 586 17 telescope telescope NN 35024 586 18 from from IN 35024 586 19 the the DT 35024 586 20 mirrors mirror NNS 35024 586 21 . . . 35024 587 1 When when WRB 35024 587 2 the the DT 35024 587 3 pendulum pendulum NN 35024 587 4 was be VBD 35024 587 5 at at IN 35024 587 6 rest rest NN 35024 587 7 , , , 35024 587 8 the the DT 35024 587 9 image image NN 35024 587 10 of of IN 35024 587 11 the the DT 35024 587 12 spark spark NN 35024 587 13 in in IN 35024 587 14 both both DT 35024 587 15 mirrors mirror NNS 35024 587 16 appeared appear VBD 35024 587 17 on on IN 35024 587 18 the the DT 35024 587 19 horizontal horizontal JJ 35024 587 20 cross cross NN 35024 587 21 wire wire NN 35024 587 22 in in IN 35024 587 23 the the DT 35024 587 24 telescope telescope NN 35024 587 25 , , , 35024 587 26 and and CC 35024 587 27 during during IN 35024 587 28 oscillation oscillation NN 35024 587 29 of of IN 35024 587 30 the the DT 35024 587 31 pendulum pendulum NN 35024 587 32 the the DT 35024 587 33 two two CD 35024 587 34 images image NNS 35024 587 35 appeared appear VBD 35024 587 36 in in IN 35024 587 37 that that DT 35024 587 38 position position NN 35024 587 39 upon upon IN 35024 587 40 coincidence coincidence NN 35024 587 41 . . . 35024 588 1 In in IN 35024 588 2 view view NN 35024 588 3 of of IN 35024 588 4 the the DT 35024 588 5 reduced reduce VBN 35024 588 6 size size NN 35024 588 7 of of IN 35024 588 8 the the DT 35024 588 9 pendulum pendulum NN 35024 588 10 , , , 35024 588 11 the the DT 35024 588 12 chamber chamber NN 35024 588 13 in in IN 35024 588 14 which which WDT 35024 588 15 it -PRON- PRP 35024 588 16 was be VBD 35024 588 17 swung swung JJ 35024 588 18 was be VBD 35024 588 19 readily readily RB 35024 588 20 portable portable JJ 35024 588 21 , , , 35024 588 22 and and CC 35024 588 23 with with IN 35024 588 24 an an DT 35024 588 25 improved improved JJ 35024 588 26 method method NN 35024 588 27 of of IN 35024 588 28 observing observe VBG 35024 588 29 coincidences coincidence NNS 35024 588 30 , , , 35024 588 31 relative relative JJ 35024 588 32 determinations determination NNS 35024 588 33 of of IN 35024 588 34 gravity gravity NN 35024 588 35 could could MD 35024 588 36 be be VB 35024 588 37 made make VBN 35024 588 38 with with IN 35024 588 39 rapidity rapidity NN 35024 588 40 and and CC 35024 588 41 accuracy accuracy NN 35024 588 42 . . . 35024 589 1 By by IN 35024 589 2 1887 1887 CD 35024 589 3 Maj Maj NNP 35024 589 4 . . NNP 35024 589 5 von von NNP 35024 589 6 Sterneck Sterneck NNP 35024 589 7 had have VBD 35024 589 8 perfected perfect VBN 35024 589 9 his -PRON- PRP$ 35024 589 10 apparatus apparatus NN 35024 589 11 , , , 35024 589 12 and and CC 35024 589 13 it -PRON- PRP 35024 589 14 was be VBD 35024 589 15 widely widely RB 35024 589 16 adopted adopt VBN 35024 589 17 in in IN 35024 589 18 Europe Europe NNP 35024 589 19 for for IN 35024 589 20 relative relative JJ 35024 589 21 determinations determination NNS 35024 589 22 of of IN 35024 589 23 gravity gravity NN 35024 589 24 . . . 35024 590 1 He -PRON- PRP 35024 590 2 used use VBD 35024 590 3 his -PRON- PRP$ 35024 590 4 apparatus apparatus NN 35024 590 5 in in IN 35024 590 6 extensive extensive JJ 35024 590 7 gravity gravity NN 35024 590 8 surveys survey NNS 35024 590 9 and and CC 35024 590 10 also also RB 35024 590 11 applied apply VBD 35024 590 12 it -PRON- PRP 35024 590 13 in in IN 35024 590 14 the the DT 35024 590 15 silver silver JJ 35024 590 16 mines mine NNS 35024 590 17 in in IN 35024 590 18 Saxony Saxony NNP 35024 590 19 and and CC 35024 590 20 Bohemia Bohemia NNP 35024 590 21 , , , 35024 590 22 by by IN 35024 590 23 the the DT 35024 590 24 previously previously RB 35024 590 25 described describe VBN 35024 590 26 methods method NNS 35024 590 27 of of IN 35024 590 28 Airy Airy NNP 35024 590 29 , , , 35024 590 30 for for IN 35024 590 31 investigations investigation NNS 35024 590 32 into into IN 35024 590 33 the the DT 35024 590 34 internal internal JJ 35024 590 35 constitution constitution NN 35024 590 36 of of IN 35024 590 37 the the DT 35024 590 38 earth earth NN 35024 590 39 . . . 35024 591 1 On on IN 35024 591 2 July July NNP 35024 591 3 1 1 CD 35024 591 4 , , , 35024 591 5 1889 1889 CD 35024 591 6 , , , 35024 591 7 Thomas Thomas NNP 35024 591 8 Corwin Corwin NNP 35024 591 9 Mendenhall Mendenhall NNP 35024 591 10 became become VBD 35024 591 11 superintendent superintendent NN 35024 591 12 of of IN 35024 591 13 the the DT 35024 591 14 U.S. U.S. NNP 35024 591 15 Coast Coast NNP 35024 591 16 and and CC 35024 591 17 Geodetic Geodetic NNP 35024 591 18 Survey Survey NNP 35024 591 19 . . . 35024 592 1 Earlier early RBR 35024 592 2 , , , 35024 592 3 he -PRON- PRP 35024 592 4 had have VBD 35024 592 5 been be VBN 35024 592 6 professor professor NN 35024 592 7 of of IN 35024 592 8 physics physics NN 35024 592 9 at at IN 35024 592 10 the the DT 35024 592 11 University University NNP 35024 592 12 of of IN 35024 592 13 Tokyo Tokyo NNP 35024 592 14 and and CC 35024 592 15 had have VBD 35024 592 16 directed direct VBN 35024 592 17 observations observation NNS 35024 592 18 of of IN 35024 592 19 pendulums pendulum NNS 35024 592 20 for for IN 35024 592 21 the the DT 35024 592 22 determination determination NN 35024 592 23 of of IN 35024 592 24 gravity gravity NN 35024 592 25 on on IN 35024 592 26 Fujiyama Fujiyama NNP 35024 592 27 and and CC 35024 592 28 at at IN 35024 592 29 Tokyo Tokyo NNP 35024 592 30 . . . 35024 593 1 Supt supt JJ 35024 593 2 . . . 35024 594 1 Mendenhall Mendenhall NNP 35024 594 2 , , , 35024 594 3 with with IN 35024 594 4 the the DT 35024 594 5 cooperation cooperation NN 35024 594 6 of of IN 35024 594 7 members member NNS 35024 594 8 of of IN 35024 594 9 his -PRON- PRP$ 35024 594 10 staff staff NN 35024 594 11 in in IN 35024 594 12 Washington Washington NNP 35024 594 13 , , , 35024 594 14 designed design VBD 35024 594 15 a a DT 35024 594 16 new new JJ 35024 594 17 pendulum pendulum NN 35024 594 18 apparatus apparatus NN 35024 594 19 of of IN 35024 594 20 the the DT 35024 594 21 Von Von NNP 35024 594 22 Sterneck Sterneck NNP 35024 594 23 type type NN 35024 594 24 , , , 35024 594 25 and and CC 35024 594 26 in in IN 35024 594 27 October October NNP 35024 594 28 1890 1890 CD 35024 594 29 he -PRON- PRP 35024 594 30 ordered order VBD 35024 594 31 construction construction NN 35024 594 32 of of IN 35024 594 33 the the DT 35024 594 34 first first JJ 35024 594 35 model model NN 35024 594 36 . . . 35024 595 1 [ [ -LRB- 35024 595 2 83 83 CD 35024 595 3 ] ] -RRB- 35024 595 4 Like like IN 35024 595 5 the the DT 35024 595 6 Von Von NNP 35024 595 7 Sterneck Sterneck NNP 35024 595 8 apparatus apparatus NN 35024 595 9 , , , 35024 595 10 the the DT 35024 595 11 Mendenhall Mendenhall NNP 35024 595 12 pendulum pendulum NN 35024 595 13 apparatus apparatus NN 35024 595 14 employed employ VBD 35024 595 15 a a DT 35024 595 16 nonreversible nonreversible JJ 35024 595 17 , , , 35024 595 18 invariable invariable JJ 35024 595 19 pendulum pendulum NN 35024 595 20 1/4-meter 1/4-meter CD 35024 595 21 in in IN 35024 595 22 length length NN 35024 595 23 and and CC 35024 595 24 of of IN 35024 595 25 slightly slightly RB 35024 595 26 more more JJR 35024 595 27 than than IN 35024 595 28 1/2-second 1/2-second CD 35024 595 29 in in IN 35024 595 30 time time NN 35024 595 31 of of IN 35024 595 32 swing swing NN 35024 595 33 . . . 35024 596 1 Initially initially RB 35024 596 2 , , , 35024 596 3 the the DT 35024 596 4 knife knife NN 35024 596 5 edge edge NN 35024 596 6 was be VBD 35024 596 7 placed place VBN 35024 596 8 in in IN 35024 596 9 the the DT 35024 596 10 head head NN 35024 596 11 of of IN 35024 596 12 the the DT 35024 596 13 pendulum pendulum NN 35024 596 14 and and CC 35024 596 15 hung hang VBD 35024 596 16 on on IN 35024 596 17 a a DT 35024 596 18 fixed fix VBN 35024 596 19 plane plane NN 35024 596 20 support support NN 35024 596 21 , , , 35024 596 22 but but CC 35024 596 23 after after IN 35024 596 24 some some DT 35024 596 25 experimentation experimentation NN 35024 596 26 Mendenhall Mendenhall NNP 35024 596 27 attached attach VBD 35024 596 28 the the DT 35024 596 29 plane plane NN 35024 596 30 surface surface NN 35024 596 31 to to IN 35024 596 32 the the DT 35024 596 33 pendulum pendulum NN 35024 596 34 and and CC 35024 596 35 hung hang VBD 35024 596 36 it -PRON- PRP 35024 596 37 on on IN 35024 596 38 a a DT 35024 596 39 fixed fix VBN 35024 596 40 knife knife NN 35024 596 41 edge edge NN 35024 596 42 . . . 35024 597 1 An an DT 35024 597 2 apparatus apparatus NN 35024 597 3 was be VBD 35024 597 4 provided provide VBN 35024 597 5 with with IN 35024 597 6 a a DT 35024 597 7 set set NN 35024 597 8 of of IN 35024 597 9 three three CD 35024 597 10 pendulums pendulum NNS 35024 597 11 , , , 35024 597 12 so so IN 35024 597 13 that that IN 35024 597 14 if if IN 35024 597 15 discrepancies discrepancy NNS 35024 597 16 appeared appear VBD 35024 597 17 in in IN 35024 597 18 the the DT 35024 597 19 results result NNS 35024 597 20 , , , 35024 597 21 the the DT 35024 597 22 pendulum pendulum NN 35024 597 23 at at IN 35024 597 24 fault fault NN 35024 597 25 could could MD 35024 597 26 be be VB 35024 597 27 detected detect VBN 35024 597 28 . . . 35024 598 1 There there EX 35024 598 2 was be VBD 35024 598 3 also also RB 35024 598 4 a a DT 35024 598 5 dummy dummy JJ 35024 598 6 pendulum pendulum NN 35024 598 7 which which WDT 35024 598 8 carried carry VBD 35024 598 9 a a DT 35024 598 10 thermometer thermometer NN 35024 598 11 . . . 35024 599 1 A a DT 35024 599 2 pendulum pendulum NN 35024 599 3 was be VBD 35024 599 4 swung swing VBN 35024 599 5 in in IN 35024 599 6 a a DT 35024 599 7 receiver receiver NN 35024 599 8 in in IN 35024 599 9 which which WDT 35024 599 10 the the DT 35024 599 11 pressure pressure NN 35024 599 12 and and CC 35024 599 13 temperature temperature NN 35024 599 14 of of IN 35024 599 15 the the DT 35024 599 16 air air NN 35024 599 17 were be VBD 35024 599 18 controlled control VBN 35024 599 19 . . . 35024 600 1 The the DT 35024 600 2 time time NN 35024 600 3 of of IN 35024 600 4 swing swing NN 35024 600 5 was be VBD 35024 600 6 measured measure VBN 35024 600 7 by by IN 35024 600 8 coincidences coincidence NNS 35024 600 9 with with IN 35024 600 10 the the DT 35024 600 11 beat beat NN 35024 600 12 of of IN 35024 600 13 a a DT 35024 600 14 chronometer chronometer NN 35024 600 15 . . . 35024 601 1 The the DT 35024 601 2 coincidences coincidence NNS 35024 601 3 were be VBD 35024 601 4 determined determine VBN 35024 601 5 by by IN 35024 601 6 an an DT 35024 601 7 optical optical JJ 35024 601 8 method method NN 35024 601 9 with with IN 35024 601 10 the the DT 35024 601 11 aid aid NN 35024 601 12 of of IN 35024 601 13 a a DT 35024 601 14 flash flash NN 35024 601 15 apparatus apparatus NN 35024 601 16 . . . 35024 602 1 [ [ -LRB- 35024 602 2 Illustration illustration NN 35024 602 3 : : : 35024 602 4 Figure Figure NNP 35024 602 5 25.--MENDENHALL 25.--mendenhall CD 35024 602 6 'S 'S NNP 35024 602 7 1/4-METER 1/4-meter CD 35024 602 8 ( ( -LRB- 35024 602 9 1/2-SECOND 1/2-second CD 35024 602 10 ) ) -RRB- 35024 602 11 APPARATUS APPARATUS NNP 35024 602 12 . . . 35024 603 1 Shown show VBN 35024 603 2 on on IN 35024 603 3 the the DT 35024 603 4 left left NN 35024 603 5 is be VBZ 35024 603 6 the the DT 35024 603 7 flash flash NN 35024 603 8 apparatus apparatus NN 35024 603 9 and and CC 35024 603 10 , , , 35024 603 11 on on IN 35024 603 12 the the DT 35024 603 13 right right NN 35024 603 14 , , , 35024 603 15 the the DT 35024 603 16 vacuum vacuum NN 35024 603 17 chamber chamber NN 35024 603 18 within within IN 35024 603 19 which which WDT 35024 603 20 the the DT 35024 603 21 pendulum pendulum NN 35024 603 22 is be VBZ 35024 603 23 swung swung JJ 35024 603 24 . . . 35024 604 1 The the DT 35024 604 2 flash flash NN 35024 604 3 apparatus apparatus NN 35024 604 4 consists consist VBZ 35024 604 5 of of IN 35024 604 6 a a DT 35024 604 7 kerosene kerosene JJ 35024 604 8 lantern lantern NN 35024 604 9 and and CC 35024 604 10 a a DT 35024 604 11 telescope telescope NN 35024 604 12 , , , 35024 604 13 mounted mount VBN 35024 604 14 on on IN 35024 604 15 a a DT 35024 604 16 box box NN 35024 604 17 containing contain VBG 35024 604 18 an an DT 35024 604 19 electromagnetically electromagnetically RB 35024 604 20 operated operate VBN 35024 604 21 shutter shutter NN 35024 604 22 . . . 35024 605 1 The the DT 35024 605 2 operation operation NN 35024 605 3 of of IN 35024 605 4 the the DT 35024 605 5 shutter shutter NN 35024 605 6 is be VBZ 35024 605 7 controlled control VBN 35024 605 8 by by IN 35024 605 9 a a DT 35024 605 10 chronograph chronograph NN 35024 605 11 ( ( -LRB- 35024 605 12 not not RB 35024 605 13 shown show VBN 35024 605 14 ) ) -RRB- 35024 605 15 , , , 35024 605 16 so so IN 35024 605 17 that that IN 35024 605 18 it -PRON- PRP 35024 605 19 emits emit VBZ 35024 605 20 a a DT 35024 605 21 slit slit NN 35024 605 22 of of IN 35024 605 23 light light NN 35024 605 24 at at IN 35024 605 25 regular regular JJ 35024 605 26 intervals interval NNS 35024 605 27 . . . 35024 606 1 The the DT 35024 606 2 telescope telescope NN 35024 606 3 is be VBZ 35024 606 4 focused focus VBN 35024 606 5 on on IN 35024 606 6 two two CD 35024 606 7 mirrors mirror NNS 35024 606 8 within within IN 35024 606 9 the the DT 35024 606 10 apparatus apparatus NN 35024 606 11 , , , 35024 606 12 one one CD 35024 606 13 fixed fix VBN 35024 606 14 , , , 35024 606 15 the the DT 35024 606 16 other other JJ 35024 606 17 attached attach VBN 35024 606 18 to to IN 35024 606 19 the the DT 35024 606 20 top top NN 35024 606 21 of of IN 35024 606 22 the the DT 35024 606 23 pendulum pendulum NN 35024 606 24 . . . 35024 607 1 It -PRON- PRP 35024 607 2 is be VBZ 35024 607 3 used use VBN 35024 607 4 to to TO 35024 607 5 observe observe VB 35024 607 6 the the DT 35024 607 7 reflection reflection NN 35024 607 8 of of IN 35024 607 9 the the DT 35024 607 10 flashes flash NNS 35024 607 11 from from IN 35024 607 12 these these DT 35024 607 13 mirrors mirror NNS 35024 607 14 . . . 35024 608 1 When when WRB 35024 608 2 the the DT 35024 608 3 two two CD 35024 608 4 reflections reflection NNS 35024 608 5 are be VBP 35024 608 6 aligned align VBN 35024 608 7 , , , 35024 608 8 a a DT 35024 608 9 " " `` 35024 608 10 coincidence coincidence NN 35024 608 11 " " '' 35024 608 12 is be VBZ 35024 608 13 marked mark VBN 35024 608 14 on on IN 35024 608 15 the the DT 35024 608 16 chronograph chronograph NN 35024 608 17 tape tape NN 35024 608 18 . . . 35024 609 1 The the DT 35024 609 2 second second JJ 35024 609 3 telescope telescope NN 35024 609 4 attached attach VBN 35024 609 5 to to IN 35024 609 6 the the DT 35024 609 7 bottom bottom NN 35024 609 8 of of IN 35024 609 9 the the DT 35024 609 10 vacuum vacuum NN 35024 609 11 chamber chamber NN 35024 609 12 is be VBZ 35024 609 13 for for IN 35024 609 14 observing observe VBG 35024 609 15 the the DT 35024 609 16 amplitude amplitude NN 35024 609 17 of of IN 35024 609 18 the the DT 35024 609 19 pendulum pendulum NN 35024 609 20 swing swing NN 35024 609 21 . . . 35024 609 22 ] ] -RRB- 35024 610 1 The the DT 35024 610 2 flash flash NN 35024 610 3 apparatus apparatus NN 35024 610 4 was be VBD 35024 610 5 contained contain VBN 35024 610 6 in in IN 35024 610 7 a a DT 35024 610 8 light light JJ 35024 610 9 metal metal NN 35024 610 10 box box NN 35024 610 11 which which WDT 35024 610 12 supported support VBD 35024 610 13 an an DT 35024 610 14 observing observe VBG 35024 610 15 telescope telescope NN 35024 610 16 and and CC 35024 610 17 which which WDT 35024 610 18 was be VBD 35024 610 19 mounted mount VBN 35024 610 20 on on IN 35024 610 21 a a DT 35024 610 22 stand stand NN 35024 610 23 . . . 35024 611 1 Within within IN 35024 611 2 the the DT 35024 611 3 box box NN 35024 611 4 was be VBD 35024 611 5 an an DT 35024 611 6 electromagnet electromagnet NN 35024 611 7 whose whose WP$ 35024 611 8 coils coil NNS 35024 611 9 were be VBD 35024 611 10 connected connect VBN 35024 611 11 with with IN 35024 611 12 a a DT 35024 611 13 chronometer chronometer NN 35024 611 14 circuit circuit NN 35024 611 15 and and CC 35024 611 16 whose whose WP$ 35024 611 17 armature armature NN 35024 611 18 carried carry VBD 35024 611 19 a a DT 35024 611 20 long long JJ 35024 611 21 arm arm NN 35024 611 22 that that WDT 35024 611 23 moved move VBD 35024 611 24 two two CD 35024 611 25 shutters shutter NNS 35024 611 26 , , , 35024 611 27 in in IN 35024 611 28 both both DT 35024 611 29 of of IN 35024 611 30 which which WDT 35024 611 31 were be VBD 35024 611 32 horizontal horizontal JJ 35024 611 33 slits slit NNS 35024 611 34 of of IN 35024 611 35 the the DT 35024 611 36 same same JJ 35024 611 37 size size NN 35024 611 38 . . . 35024 612 1 The the DT 35024 612 2 shutters shutter NNS 35024 612 3 were be VBD 35024 612 4 behind behind IN 35024 612 5 the the DT 35024 612 6 front front JJ 35024 612 7 face face NN 35024 612 8 of of IN 35024 612 9 the the DT 35024 612 10 box box NN 35024 612 11 , , , 35024 612 12 which which WDT 35024 612 13 also also RB 35024 612 14 had have VBD 35024 612 15 a a DT 35024 612 16 horizontal horizontal JJ 35024 612 17 slit slit NN 35024 612 18 . . . 35024 613 1 A a DT 35024 613 2 flash flash NN 35024 613 3 of of IN 35024 613 4 light light NN 35024 613 5 from from IN 35024 613 6 an an DT 35024 613 7 oil oil NN 35024 613 8 lamp lamp NN 35024 613 9 or or CC 35024 613 10 an an DT 35024 613 11 electric electric JJ 35024 613 12 spark spark NN 35024 613 13 was be VBD 35024 613 14 emitted emit VBN 35024 613 15 from from IN 35024 613 16 the the DT 35024 613 17 box box NN 35024 613 18 when when WRB 35024 613 19 the the DT 35024 613 20 circuit circuit NN 35024 613 21 was be VBD 35024 613 22 broken break VBN 35024 613 23 , , , 35024 613 24 but but CC 35024 613 25 not not RB 35024 613 26 when when WRB 35024 613 27 it -PRON- PRP 35024 613 28 was be VBD 35024 613 29 closed close VBN 35024 613 30 . . . 35024 614 1 When when WRB 35024 614 2 the the DT 35024 614 3 circuit circuit NN 35024 614 4 was be VBD 35024 614 5 broken break VBN 35024 614 6 a a DT 35024 614 7 spring spring NN 35024 614 8 caused cause VBD 35024 614 9 the the DT 35024 614 10 arm arm NN 35024 614 11 to to TO 35024 614 12 rise rise VB 35024 614 13 , , , 35024 614 14 and and CC 35024 614 15 the the DT 35024 614 16 shutters shutter NNS 35024 614 17 were be VBD 35024 614 18 actuated actuate VBN 35024 614 19 so so IN 35024 614 20 that that IN 35024 614 21 the the DT 35024 614 22 three three CD 35024 614 23 slits slit NNS 35024 614 24 came come VBD 35024 614 25 into into IN 35024 614 26 line line NN 35024 614 27 and and CC 35024 614 28 a a DT 35024 614 29 flash flash NN 35024 614 30 of of IN 35024 614 31 light light NN 35024 614 32 was be VBD 35024 614 33 emitted emit VBN 35024 614 34 . . . 35024 615 1 A a DT 35024 615 2 small small JJ 35024 615 3 circular circular JJ 35024 615 4 mirror mirror NN 35024 615 5 was be VBD 35024 615 6 set set VBN 35024 615 7 in in IN 35024 615 8 each each DT 35024 615 9 side side NN 35024 615 10 of of IN 35024 615 11 the the DT 35024 615 12 pendulum pendulum JJ 35024 615 13 head head NN 35024 615 14 , , , 35024 615 15 so so IN 35024 615 16 that that IN 35024 615 17 from from IN 35024 615 18 either either DT 35024 615 19 face face NN 35024 615 20 of of IN 35024 615 21 the the DT 35024 615 22 pendulum pendulum NN 35024 615 23 the the DT 35024 615 24 image image NN 35024 615 25 of of IN 35024 615 26 the the DT 35024 615 27 illuminated illuminate VBN 35024 615 28 slit slit NN 35024 615 29 could could MD 35024 615 30 be be VB 35024 615 31 reflected reflect VBN 35024 615 32 into into IN 35024 615 33 the the DT 35024 615 34 field field NN 35024 615 35 of of IN 35024 615 36 the the DT 35024 615 37 observing observe VBG 35024 615 38 telescope telescope NN 35024 615 39 . . . 35024 616 1 A a DT 35024 616 2 similar similar JJ 35024 616 3 mirror mirror NN 35024 616 4 was be VBD 35024 616 5 placed place VBN 35024 616 6 parallel parallel RB 35024 616 7 to to IN 35024 616 8 these these DT 35024 616 9 two two CD 35024 616 10 mirrors mirror NNS 35024 616 11 and and CC 35024 616 12 rigidly rigidly RB 35024 616 13 attached attach VBN 35024 616 14 to to IN 35024 616 15 the the DT 35024 616 16 support support NN 35024 616 17 . . . 35024 617 1 The the DT 35024 617 2 chronometer chronometer NN 35024 617 3 signals signal NNS 35024 617 4 broke break VBD 35024 617 5 the the DT 35024 617 6 circuit circuit NN 35024 617 7 , , , 35024 617 8 causing cause VBG 35024 617 9 the the DT 35024 617 10 three three CD 35024 617 11 slits slit NNS 35024 617 12 momentarily momentarily RB 35024 617 13 to to TO 35024 617 14 be be VB 35024 617 15 in in IN 35024 617 16 line line NN 35024 617 17 , , , 35024 617 18 and and CC 35024 617 19 when when WRB 35024 617 20 the the DT 35024 617 21 images image NNS 35024 617 22 of of IN 35024 617 23 the the DT 35024 617 24 slit slit NN 35024 617 25 in in IN 35024 617 26 the the DT 35024 617 27 two two CD 35024 617 28 mirrors mirror NNS 35024 617 29 coincided coincide VBN 35024 617 30 , , , 35024 617 31 a a DT 35024 617 32 coincidence coincidence NN 35024 617 33 was be VBD 35024 617 34 observed observe VBN 35024 617 35 . . . 35024 618 1 A a DT 35024 618 2 coincidence coincidence NN 35024 618 3 occurred occur VBD 35024 618 4 whenever whenever WRB 35024 618 5 the the DT 35024 618 6 pendulum pendulum NN 35024 618 7 gained gain VBD 35024 618 8 or or CC 35024 618 9 lost lose VBD 35024 618 10 one one CD 35024 618 11 oscillation oscillation NN 35024 618 12 on on IN 35024 618 13 the the DT 35024 618 14 beat beat NN 35024 618 15 of of IN 35024 618 16 the the DT 35024 618 17 chronometer chronometer NN 35024 618 18 . . . 35024 619 1 The the DT 35024 619 2 relative relative JJ 35024 619 3 intensity intensity NN 35024 619 4 of of IN 35024 619 5 gravity gravity NN 35024 619 6 was be VBD 35024 619 7 determined determine VBN 35024 619 8 by by IN 35024 619 9 observations observation NNS 35024 619 10 with with IN 35024 619 11 the the DT 35024 619 12 first first JJ 35024 619 13 Mendenhall Mendenhall NNP 35024 619 14 apparatus apparatus NN 35024 619 15 at at IN 35024 619 16 Washington Washington NNP 35024 619 17 , , , 35024 619 18 D.C. D.C. NNP 35024 619 19 , , , 35024 619 20 at at IN 35024 619 21 stations station NNS 35024 619 22 on on IN 35024 619 23 the the DT 35024 619 24 Pacific Pacific NNP 35024 619 25 Coast Coast NNP 35024 619 26 and and CC 35024 619 27 in in IN 35024 619 28 Alaska Alaska NNP 35024 619 29 , , , 35024 619 30 and and CC 35024 619 31 at at IN 35024 619 32 the the DT 35024 619 33 Stevens Stevens NNP 35024 619 34 Institute Institute NNP 35024 619 35 , , , 35024 619 36 Hoboken Hoboken NNP 35024 619 37 , , , 35024 619 38 New New NNP 35024 619 39 Jersey Jersey NNP 35024 619 40 , , , 35024 619 41 between between IN 35024 619 42 March March NNP 35024 619 43 and and CC 35024 619 44 October October NNP 35024 619 45 1891 1891 CD 35024 619 46 . . . 35024 620 1 [ [ -LRB- 35024 620 2 Illustration illustration NN 35024 620 3 : : : 35024 620 4 Figure figure NN 35024 620 5 26.--VACUUM 26.--vacuum CD 35024 620 6 RECEIVER receiver NN 35024 620 7 within within IN 35024 620 8 which which WDT 35024 620 9 the the DT 35024 620 10 Mendenhall Mendenhall NNP 35024 620 11 pendulum pendulum NN 35024 620 12 is be VBZ 35024 620 13 swung swung JJ 35024 620 14 . . . 35024 621 1 The the DT 35024 621 2 pressure pressure NN 35024 621 3 is be VBZ 35024 621 4 reduced reduce VBN 35024 621 5 to to IN 35024 621 6 about about RB 35024 621 7 50 50 CD 35024 621 8 mm mm NNS 35024 621 9 . . . 35024 622 1 to to TO 35024 622 2 reduce reduce VB 35024 622 3 the the DT 35024 622 4 disturbing disturb VBG 35024 622 5 effect effect NN 35024 622 6 of of IN 35024 622 7 air air NN 35024 622 8 resistance resistance NN 35024 622 9 . . . 35024 623 1 When when WRB 35024 623 2 the the DT 35024 623 3 apparatus apparatus NN 35024 623 4 is be VBZ 35024 623 5 sealed seal VBN 35024 623 6 , , , 35024 623 7 the the DT 35024 623 8 pendulum pendulum NN 35024 623 9 is be VBZ 35024 623 10 lifted lift VBN 35024 623 11 on on IN 35024 623 12 the the DT 35024 623 13 knife knife NN 35024 623 14 edge edge NN 35024 623 15 by by IN 35024 623 16 the the DT 35024 623 17 lever lever NN 35024 623 18 _ _ NNP 35024 623 19 q q NNP 35024 623 20 _ _ NNP 35024 623 21 and and CC 35024 623 22 is be VBZ 35024 623 23 started start VBN 35024 623 24 to to TO 35024 623 25 swing swing VB 35024 623 26 by by IN 35024 623 27 the the DT 35024 623 28 lever lever NN 35024 623 29 _ _ NNP 35024 623 30 r r NNP 35024 623 31 _ _ NNP 35024 623 32 . . . 35024 624 1 The the DT 35024 624 2 arc arc NN 35024 624 3 of of IN 35024 624 4 swing swing NN 35024 624 5 is be VBZ 35024 624 6 only only RB 35024 624 7 about about RB 35024 624 8 1 1 CD 35024 624 9 ° ° NNS 35024 624 10 . . . 35024 625 1 The the DT 35024 625 2 stationary stationary JJ 35024 625 3 mirror mirror NN 35024 625 4 is be VBZ 35024 625 5 shown show VBN 35024 625 6 at at IN 35024 625 7 _ _ NNP 35024 625 8 g g NNP 35024 625 9 _ _ NNP 35024 625 10 . . . 35024 626 1 The the DT 35024 626 2 pendulum pendulum NN 35024 626 3 shown show VBN 35024 626 4 in in IN 35024 626 5 outline outline NN 35024 626 6 in in IN 35024 626 7 the the DT 35024 626 8 center center NN 35024 626 9 , , , 35024 626 10 is be VBZ 35024 626 11 only only RB 35024 626 12 about about IN 35024 626 13 9.7 9.7 CD 35024 626 14 inches inch NNS 35024 626 15 long long JJ 35024 626 16 . . . 35024 626 17 ] ] -RRB- 35024 627 1 Under under IN 35024 627 2 Supt Supt NNP 35024 627 3 . . . 35024 628 1 Mendenhall Mendenhall NNP 35024 628 2 's 's POS 35024 628 3 direction direction NN 35024 628 4 a a DT 35024 628 5 smaller small JJR 35024 628 6 , , , 35024 628 7 1/4-second 1/4-second CD 35024 628 8 , , , 35024 628 9 pendulum pendulum NN 35024 628 10 apparatus apparatus NNP 35024 628 11 was be VBD 35024 628 12 also also RB 35024 628 13 constructed construct VBN 35024 628 14 and and CC 35024 628 15 tested test VBN 35024 628 16 , , , 35024 628 17 but but CC 35024 628 18 did do VBD 35024 628 19 not not RB 35024 628 20 offer offer VB 35024 628 21 advantages advantage NNS 35024 628 22 over over IN 35024 628 23 the the DT 35024 628 24 1/2-second 1/2-second CD 35024 628 25 apparatus apparatus NN 35024 628 26 , , , 35024 628 27 which which WDT 35024 628 28 therefore therefore RB 35024 628 29 continued continue VBD 35024 628 30 in in IN 35024 628 31 use use NN 35024 628 32 . . . 35024 629 1 In in IN 35024 629 2 accordance accordance NN 35024 629 3 with with IN 35024 629 4 Peirce Peirce NNP 35024 629 5 's 's POS 35024 629 6 theory theory NN 35024 629 7 of of IN 35024 629 8 the the DT 35024 629 9 flexure flexure NN 35024 629 10 of of IN 35024 629 11 the the DT 35024 629 12 stand stand NN 35024 629 13 under under IN 35024 629 14 oscillations oscillation NNS 35024 629 15 of of IN 35024 629 16 the the DT 35024 629 17 pendulum pendulum NN 35024 629 18 , , , 35024 629 19 determinations determination NNS 35024 629 20 of of IN 35024 629 21 the the DT 35024 629 22 displacement displacement NN 35024 629 23 of of IN 35024 629 24 the the DT 35024 629 25 receiver receiver NN 35024 629 26 of of IN 35024 629 27 the the DT 35024 629 28 Mendenhall Mendenhall NNP 35024 629 29 apparatus apparatus NN 35024 629 30 were be VBD 35024 629 31 part part NN 35024 629 32 of of IN 35024 629 33 a a DT 35024 629 34 relative relative JJ 35024 629 35 determination determination NN 35024 629 36 of of IN 35024 629 37 gravity gravity NN 35024 629 38 by by IN 35024 629 39 members member NNS 35024 629 40 of of IN 35024 629 41 the the DT 35024 629 42 Coast Coast NNP 35024 629 43 and and CC 35024 629 44 Geodetic Geodetic NNP 35024 629 45 Survey Survey NNP 35024 629 46 . . . 35024 630 1 Initially initially RB 35024 630 2 , , , 35024 630 3 a a DT 35024 630 4 statical statical JJ 35024 630 5 method method NN 35024 630 6 was be VBD 35024 630 7 used use VBN 35024 630 8 , , , 35024 630 9 but but CC 35024 630 10 during during IN 35024 630 11 1908 1908 CD 35024 630 12 - - SYM 35024 630 13 1909 1909 CD 35024 630 14 members member NNS 35024 630 15 of of IN 35024 630 16 the the DT 35024 630 17 Survey Survey NNP 35024 630 18 adapted adapt VBD 35024 630 19 the the DT 35024 630 20 Michelson Michelson NNP 35024 630 21 interferometer interferometer NN 35024 630 22 for for IN 35024 630 23 the the DT 35024 630 24 determinations determination NNS 35024 630 25 of of IN 35024 630 26 flexure flexure NN 35024 630 27 during during IN 35024 630 28 oscillations oscillation NNS 35024 630 29 from from IN 35024 630 30 the the DT 35024 630 31 shift shift NN 35024 630 32 of of IN 35024 630 33 fringes fringe NNS 35024 630 34 . . . 35024 631 1 [ [ -LRB- 35024 631 2 84 84 CD 35024 631 3 ] ] -RRB- 35024 631 4 The the DT 35024 631 5 first first JJ 35024 631 6 Mendenhall Mendenhall NNP 35024 631 7 pendulums pendulum NNS 35024 631 8 were be VBD 35024 631 9 made make VBN 35024 631 10 of of IN 35024 631 11 bronze bronze NN 35024 631 12 , , , 35024 631 13 but but CC 35024 631 14 about about IN 35024 631 15 1920 1920 CD 35024 631 16 invar invar NNP 35024 631 17 was be VBD 35024 631 18 chosen choose VBN 35024 631 19 because because IN 35024 631 20 of of IN 35024 631 21 its -PRON- PRP$ 35024 631 22 small small JJ 35024 631 23 coefficient coefficient NN 35024 631 24 of of IN 35024 631 25 expansion expansion NN 35024 631 26 . . . 35024 632 1 About about IN 35024 632 2 1930 1930 CD 35024 632 3 , , , 35024 632 4 Lt Lt NNP 35024 632 5 . . NNP 35024 632 6 E. E. NNP 35024 632 7 J. J. NNP 35024 633 1 Brown Brown NNP 35024 633 2 of of IN 35024 633 3 the the DT 35024 633 4 Coast Coast NNP 35024 633 5 and and CC 35024 633 6 Geodetic Geodetic NNP 35024 633 7 Survey Survey NNP 35024 633 8 made make VBD 35024 633 9 significant significant JJ 35024 633 10 improvements improvement NNS 35024 633 11 in in IN 35024 633 12 the the DT 35024 633 13 Mendenhall Mendenhall NNP 35024 633 14 apparatus apparatus NN 35024 633 15 , , , 35024 633 16 and and CC 35024 633 17 the the DT 35024 633 18 new new JJ 35024 633 19 form form NN 35024 633 20 came come VBD 35024 633 21 to to TO 35024 633 22 be be VB 35024 633 23 known know VBN 35024 633 24 as as IN 35024 633 25 the the DT 35024 633 26 Brown Brown NNP 35024 633 27 Pendulum Pendulum NNP 35024 633 28 Apparatus Apparatus NNP 35024 633 29 . . . 35024 634 1 [ [ -LRB- 35024 634 2 85 85 CD 35024 634 3 ] ] -RRB- 35024 634 4 [ [ -LRB- 35024 634 5 Illustration illustration NN 35024 634 6 : : : 35024 634 7 Figure figure VB 35024 634 8 27.--THE 27.--the CD 35024 634 9 MICHELSON MICHELSON NNP 35024 634 10 INTERFEROMETER INTERFEROMETER NNP 35024 634 11 . . . 35024 635 1 The the DT 35024 635 2 horizontal horizontal JJ 35024 635 3 component component NN 35024 635 4 of of IN 35024 635 5 the the DT 35024 635 6 force force NN 35024 635 7 acting act VBG 35024 635 8 on on IN 35024 635 9 the the DT 35024 635 10 knife knife NN 35024 635 11 edge edge NN 35024 635 12 through through IN 35024 635 13 the the DT 35024 635 14 swinging swinge VBG 35024 635 15 pendulum pendulum NN 35024 635 16 causes cause VBZ 35024 635 17 the the DT 35024 635 18 support support NN 35024 635 19 to to TO 35024 635 20 move move VB 35024 635 21 in in IN 35024 635 22 unison unison NNP 35024 635 23 with with IN 35024 635 24 the the DT 35024 635 25 pendulum pendulum NN 35024 635 26 , , , 35024 635 27 and and CC 35024 635 28 thereby thereby RB 35024 635 29 affects affect VBZ 35024 635 30 the the DT 35024 635 31 period period NN 35024 635 32 of of IN 35024 635 33 the the DT 35024 635 34 oscillation oscillation NN 35024 635 35 . . . 35024 636 1 This this DT 35024 636 2 movement movement NN 35024 636 3 is be VBZ 35024 636 4 the the DT 35024 636 5 so so RB 35024 636 6 - - HYPH 35024 636 7 called call VBN 35024 636 8 flexure flexure NN 35024 636 9 of of IN 35024 636 10 the the DT 35024 636 11 pendulum pendulum NN 35024 636 12 support support NN 35024 636 13 , , , 35024 636 14 and and CC 35024 636 15 must must MD 35024 636 16 be be VB 35024 636 17 taken take VBN 35024 636 18 into into IN 35024 636 19 account account NN 35024 636 20 in in IN 35024 636 21 the the DT 35024 636 22 most most RBS 35024 636 23 accurate accurate JJ 35024 636 24 observations observation NNS 35024 636 25 . . . 35024 637 1 In in IN 35024 637 2 1907 1907 CD 35024 637 3 , , , 35024 637 4 the the DT 35024 637 5 Michelson Michelson NNP 35024 637 6 interferometer interferometer NN 35024 637 7 was be VBD 35024 637 8 adapted adapt VBN 35024 637 9 to to IN 35024 637 10 this this DT 35024 637 11 purpose purpose NN 35024 637 12 by by IN 35024 637 13 the the DT 35024 637 14 U.S. U.S. NNP 35024 637 15 Coast Coast NNP 35024 637 16 and and CC 35024 637 17 Geodetic Geodetic NNP 35024 637 18 Survey Survey NNP 35024 637 19 . . . 35024 638 1 As as IN 35024 638 2 shown show VBN 35024 638 3 here here RB 35024 638 4 , , , 35024 638 5 the the DT 35024 638 6 interferometer interferometer NN 35024 638 7 , , , 35024 638 8 resting rest VBG 35024 638 9 on on IN 35024 638 10 a a DT 35024 638 11 wooden wooden JJ 35024 638 12 beam beam NN 35024 638 13 , , , 35024 638 14 is be VBZ 35024 638 15 introduced introduce VBN 35024 638 16 into into IN 35024 638 17 the the DT 35024 638 18 path path NN 35024 638 19 of of IN 35024 638 20 a a DT 35024 638 21 light light JJ 35024 638 22 beam beam NN 35024 638 23 reflected reflect VBD 35024 638 24 from from IN 35024 638 25 a a DT 35024 638 26 mirror mirror NN 35024 638 27 on on IN 35024 638 28 the the DT 35024 638 29 vacuum vacuum NN 35024 638 30 chamber chamber NN 35024 638 31 . . . 35024 639 1 Movement movement NN 35024 639 2 of of IN 35024 639 3 that that DT 35024 639 4 mirror mirror NN 35024 639 5 causes cause VBZ 35024 639 6 a a DT 35024 639 7 corresponding corresponding JJ 35024 639 8 movement movement NN 35024 639 9 in in IN 35024 639 10 the the DT 35024 639 11 interference interference NN 35024 639 12 fringes fringe NNS 35024 639 13 in in IN 35024 639 14 the the DT 35024 639 15 interferometer interferometer NN 35024 639 16 , , , 35024 639 17 which which WDT 35024 639 18 can can MD 35024 639 19 be be VB 35024 639 20 measured measure VBN 35024 639 21 . . . 35024 639 22 ] ] -RRB- 35024 640 1 The the DT 35024 640 2 original original JJ 35024 640 3 Von Von NNP 35024 640 4 Sterneck Sterneck NNP 35024 640 5 apparatus apparatus NN 35024 640 6 and and CC 35024 640 7 that that DT 35024 640 8 of of IN 35024 640 9 Mendenhall Mendenhall NNP 35024 640 10 provided provide VBD 35024 640 11 for for IN 35024 640 12 the the DT 35024 640 13 oscillation oscillation NN 35024 640 14 of of IN 35024 640 15 one one CD 35024 640 16 pendulum pendulum NN 35024 640 17 at at IN 35024 640 18 a a DT 35024 640 19 time time NN 35024 640 20 . . . 35024 641 1 After after IN 35024 641 2 the the DT 35024 641 3 adoption adoption NN 35024 641 4 of of IN 35024 641 5 the the DT 35024 641 6 Von Von NNP 35024 641 7 Sterneck Sterneck NNP 35024 641 8 pendulum pendulum NN 35024 641 9 in in IN 35024 641 10 Europe Europe NNP 35024 641 11 , , , 35024 641 12 there there EX 35024 641 13 were be VBD 35024 641 14 developed develop VBN 35024 641 15 stands stand VBZ 35024 641 16 on on IN 35024 641 17 which which WDT 35024 641 18 two two CD 35024 641 19 or or CC 35024 641 20 four four CD 35024 641 21 pendulums pendulum NNS 35024 641 22 hung hang VBD 35024 641 23 at at IN 35024 641 24 the the DT 35024 641 25 same same JJ 35024 641 26 time time NN 35024 641 27 . . . 35024 642 1 This this DT 35024 642 2 procedure procedure NN 35024 642 3 provided provide VBD 35024 642 4 a a DT 35024 642 5 convenient convenient JJ 35024 642 6 way way NN 35024 642 7 to to TO 35024 642 8 observe observe VB 35024 642 9 more more JJR 35024 642 10 than than IN 35024 642 11 one one CD 35024 642 12 invariable invariable JJ 35024 642 13 pendulum pendulum NN 35024 642 14 at at IN 35024 642 15 a a DT 35024 642 16 station station NN 35024 642 17 for for IN 35024 642 18 the the DT 35024 642 19 purpose purpose NN 35024 642 20 of of IN 35024 642 21 detecting detect VBG 35024 642 22 changes change NNS 35024 642 23 in in IN 35024 642 24 length length NN 35024 642 25 . . . 35024 643 1 Prof. Prof. NNP 35024 643 2 M. M. NNP 35024 643 3 Haid Haid NNP 35024 643 4 of of IN 35024 643 5 Karlsruhe Karlsruhe NNP 35024 643 6 in in IN 35024 643 7 1896 1896 CD 35024 643 8 described describe VBD 35024 643 9 a a DT 35024 643 10 four four CD 35024 643 11 - - HYPH 35024 643 12 pendulum pendulum NN 35024 643 13 apparatus,[86 apparatus,[86 NNP 35024 643 14 ] ] -RRB- 35024 643 15 and and CC 35024 643 16 Dr. Dr. NNP 35024 643 17 Schumann Schumann NNP 35024 643 18 of of IN 35024 643 19 Potsdam Potsdam NNP 35024 643 20 subsequently subsequently RB 35024 643 21 described describe VBD 35024 643 22 a a DT 35024 643 23 two two CD 35024 643 24 - - HYPH 35024 643 25 pendulum pendulum NN 35024 643 26 apparatus apparatus NN 35024 643 27 . . . 35024 644 1 [ [ -LRB- 35024 644 2 87 87 CD 35024 644 3 ] ] -RRB- 35024 644 4 [ [ -LRB- 35024 644 5 Illustration illustration NN 35024 644 6 : : : 35024 644 7 Figure figure NN 35024 644 8 28.--APPARATUS 28.--apparatus NN 35024 644 9 WHICH which WDT 35024 644 10 WAS be VBD 35024 644 11 DEVELOPED developed NN 35024 644 12 IN in IN 35024 644 13 1929 1929 CD 35024 644 14 by by IN 35024 644 15 the the DT 35024 644 16 Gulf Gulf NNP 35024 644 17 Research Research NNP 35024 644 18 and and CC 35024 644 19 Development Development NNP 35024 644 20 Company Company NNP 35024 644 21 , , , 35024 644 22 Harmarville Harmarville NNP 35024 644 23 , , , 35024 644 24 Pennsylvania Pennsylvania NNP 35024 644 25 . . . 35024 645 1 It -PRON- PRP 35024 645 2 was be VBD 35024 645 3 designed design VBN 35024 645 4 to to TO 35024 645 5 achieve achieve VB 35024 645 6 an an DT 35024 645 7 accuracy accuracy NN 35024 645 8 within within IN 35024 645 9 one one CD 35024 645 10 ten ten CD 35024 645 11 - - HYPH 35024 645 12 millionth millionth NN 35024 645 13 of of IN 35024 645 14 the the DT 35024 645 15 true true JJ 35024 645 16 value value NN 35024 645 17 of of IN 35024 645 18 gravity gravity NN 35024 645 19 , , , 35024 645 20 and and CC 35024 645 21 represents represent VBZ 35024 645 22 the the DT 35024 645 23 extreme extreme JJ 35024 645 24 development development NN 35024 645 25 of of IN 35024 645 26 pendulum pendulum NN 35024 645 27 apparatus apparatus NN 35024 645 28 for for IN 35024 645 29 relative relative JJ 35024 645 30 gravity gravity NN 35024 645 31 measurement measurement NN 35024 645 32 . . . 35024 646 1 The the DT 35024 646 2 pendulum pendulum NN 35024 646 3 was be VBD 35024 646 4 designed design VBN 35024 646 5 so so IN 35024 646 6 that that IN 35024 646 7 the the DT 35024 646 8 period period NN 35024 646 9 would would MD 35024 646 10 be be VB 35024 646 11 a a DT 35024 646 12 minimum minimum NN 35024 646 13 . . . 35024 647 1 The the DT 35024 647 2 case case NN 35024 647 3 ( ( -LRB- 35024 647 4 the the DT 35024 647 5 top top NN 35024 647 6 is be VBZ 35024 647 7 missing miss VBG 35024 647 8 in in IN 35024 647 9 this this DT 35024 647 10 photograph photograph NN 35024 647 11 ) ) -RRB- 35024 647 12 is be VBZ 35024 647 13 dehumidified dehumidify VBN 35024 647 14 and and CC 35024 647 15 its -PRON- PRP$ 35024 647 16 temperature temperature NN 35024 647 17 and and CC 35024 647 18 electrostatic electrostatic JJ 35024 647 19 condition condition NN 35024 647 20 are be VBP 35024 647 21 controlled control VBN 35024 647 22 . . . 35024 648 1 Specially specially RB 35024 648 2 designed design VBN 35024 648 3 pendulum pendulum NN 35024 648 4 - - HYPH 35024 648 5 lifting lifting NN 35024 648 6 and and CC 35024 648 7 -starting -starting NNP 35024 648 8 mechanisms mechanism NNS 35024 648 9 are be VBP 35024 648 10 used use VBN 35024 648 11 . . . 35024 649 1 The the DT 35024 649 2 problem problem NN 35024 649 3 of of IN 35024 649 4 flexure flexure NN 35024 649 5 of of IN 35024 649 6 the the DT 35024 649 7 case case NN 35024 649 8 is be VBZ 35024 649 9 overcome overcome VBN 35024 649 10 by by IN 35024 649 11 the the DT 35024 649 12 Faye Faye NNP 35024 649 13 - - HYPH 35024 649 14 Peirce Peirce NNP 35024 649 15 method method NN 35024 649 16 ( ( -LRB- 35024 649 17 see see VB 35024 649 18 text text NN 35024 649 19 ) ) -RRB- 35024 649 20 in in IN 35024 649 21 which which WDT 35024 649 22 two two CD 35024 649 23 dynamically dynamically RB 35024 649 24 matched match VBN 35024 649 25 pendulums pendulum NNS 35024 649 26 are be VBP 35024 649 27 swung swing VBN 35024 649 28 simultaneously simultaneously RB 35024 649 29 , , , 35024 649 30 180 180 CD 35024 649 31 ° ° , 35024 649 32 apart apart RB 35024 649 33 in in IN 35024 649 34 phase phase NN 35024 649 35 . . . 35024 649 36 ] ] -RRB- 35024 650 1 The the DT 35024 650 2 multiple multiple JJ 35024 650 3 - - HYPH 35024 650 4 pendulum pendulum NN 35024 650 5 apparatus apparatus NN 35024 650 6 then then RB 35024 650 7 provided provide VBD 35024 650 8 a a DT 35024 650 9 method method NN 35024 650 10 of of IN 35024 650 11 determining determine VBG 35024 650 12 the the DT 35024 650 13 flexure flexure NN 35024 650 14 of of IN 35024 650 15 the the DT 35024 650 16 stand stand NN 35024 650 17 from from IN 35024 650 18 the the DT 35024 650 19 action action NN 35024 650 20 of of IN 35024 650 21 one one CD 35024 650 22 pendulum pendulum NN 35024 650 23 upon upon IN 35024 650 24 a a DT 35024 650 25 second second JJ 35024 650 26 pendulum pendulum NN 35024 650 27 hung hang VBD 35024 650 28 on on IN 35024 650 29 the the DT 35024 650 30 same same JJ 35024 650 31 stand stand NN 35024 650 32 . . . 35024 651 1 This this DT 35024 651 2 method method NN 35024 651 3 of of IN 35024 651 4 determining determine VBG 35024 651 5 the the DT 35024 651 6 correction correction NN 35024 651 7 for for IN 35024 651 8 flexure flexure NN 35024 651 9 was be VBD 35024 651 10 a a DT 35024 651 11 development development NN 35024 651 12 from from IN 35024 651 13 a a DT 35024 651 14 " " `` 35024 651 15 Wippverfahren Wippverfahren NNP 35024 651 16 " " '' 35024 651 17 invented invent VBN 35024 651 18 at at IN 35024 651 19 the the DT 35024 651 20 Geodetic Geodetic NNP 35024 651 21 Institute Institute NNP 35024 651 22 in in IN 35024 651 23 Potsdam Potsdam NNP 35024 651 24 . . . 35024 652 1 A a DT 35024 652 2 dynamometer dynamometer NN 35024 652 3 was be VBD 35024 652 4 used use VBN 35024 652 5 to to TO 35024 652 6 impart impart VB 35024 652 7 periodic periodic JJ 35024 652 8 impulses impulse NNS 35024 652 9 to to IN 35024 652 10 the the DT 35024 652 11 stand stand NN 35024 652 12 , , , 35024 652 13 and and CC 35024 652 14 the the DT 35024 652 15 effect effect NN 35024 652 16 was be VBD 35024 652 17 observed observe VBN 35024 652 18 upon upon IN 35024 652 19 a a DT 35024 652 20 pendulum pendulum NN 35024 652 21 initially initially RB 35024 652 22 at at IN 35024 652 23 rest rest NN 35024 652 24 . . . 35024 653 1 Refinements refinement NNS 35024 653 2 of of IN 35024 653 3 this this DT 35024 653 4 method method NN 35024 653 5 led lead VBD 35024 653 6 to to IN 35024 653 7 the the DT 35024 653 8 development development NN 35024 653 9 of of IN 35024 653 10 a a DT 35024 653 11 method method NN 35024 653 12 used use VBN 35024 653 13 by by IN 35024 653 14 Lorenzoni Lorenzoni NNP 35024 653 15 in in IN 35024 653 16 1885 1885 CD 35024 653 17 - - SYM 35024 653 18 1886 1886 CD 35024 653 19 to to TO 35024 653 20 determine determine VB 35024 653 21 the the DT 35024 653 22 flexure flexure NN 35024 653 23 of of IN 35024 653 24 the the DT 35024 653 25 stand stand NN 35024 653 26 by by IN 35024 653 27 action action NN 35024 653 28 of of IN 35024 653 29 an an DT 35024 653 30 auxiliary auxiliary JJ 35024 653 31 pendulum pendulum NN 35024 653 32 upon upon IN 35024 653 33 the the DT 35024 653 34 principal principal JJ 35024 653 35 pendulum pendulum NN 35024 653 36 . . . 35024 654 1 Dr. Dr. NNP 35024 654 2 Schumann Schumann NNP 35024 654 3 , , , 35024 654 4 in in IN 35024 654 5 1899 1899 CD 35024 654 6 , , , 35024 654 7 gave give VBD 35024 654 8 a a DT 35024 654 9 mathematical mathematical JJ 35024 654 10 theory theory NN 35024 654 11 of of IN 35024 654 12 such such JJ 35024 654 13 determinations,[88 determinations,[88 NN 35024 654 14 ] ] -RRB- 35024 654 15 and and CC 35024 654 16 in in IN 35024 654 17 his -PRON- PRP$ 35024 654 18 paper paper NN 35024 654 19 cited cite VBD 35024 654 20 the the DT 35024 654 21 mathematical mathematical JJ 35024 654 22 methods method NNS 35024 654 23 of of IN 35024 654 24 Peirce Peirce NNP 35024 654 25 and and CC 35024 654 26 Cellérier Cellérier NNP 35024 654 27 for for IN 35024 654 28 the the DT 35024 654 29 theory theory NN 35024 654 30 of of IN 35024 654 31 Faye Faye NNP 35024 654 32 's 's POS 35024 654 33 proposal proposal NN 35024 654 34 at at IN 35024 654 35 Stuttgart Stuttgart NNP 35024 654 36 in in IN 35024 654 37 1877 1877 CD 35024 654 38 to to TO 35024 654 39 swing swing VB 35024 654 40 two two CD 35024 654 41 similar similar JJ 35024 654 42 pendulums pendulum NNS 35024 654 43 on on IN 35024 654 44 the the DT 35024 654 45 same same JJ 35024 654 46 support support NN 35024 654 47 with with IN 35024 654 48 equal equal JJ 35024 654 49 amplitudes amplitude NNS 35024 654 50 and and CC 35024 654 51 in in IN 35024 654 52 opposite opposite JJ 35024 654 53 phases phase NNS 35024 654 54 . . . 35024 655 1 [ [ -LRB- 35024 655 2 Illustration illustration NN 35024 655 3 : : : 35024 655 4 Figure figure NN 35024 655 5 29.--THE 29.--the CD 35024 655 6 GULF GULF NNP 35024 655 7 PENDULUM PENDULUM NNP 35024 655 8 is be VBZ 35024 655 9 about about RB 35024 655 10 10.7 10.7 CD 35024 655 11 inches inch NNS 35024 655 12 long long JJ 35024 655 13 , , , 35024 655 14 and and CC 35024 655 15 has have VBZ 35024 655 16 a a DT 35024 655 17 period period NN 35024 655 18 of of IN 35024 655 19 .89 .89 CD 35024 655 20 second second JJ 35024 655 21 . . . 35024 656 1 It -PRON- PRP 35024 656 2 is be VBZ 35024 656 3 made make VBN 35024 656 4 of of IN 35024 656 5 fused fuse VBN 35024 656 6 quartz quartz NN 35024 656 7 which which WDT 35024 656 8 is be VBZ 35024 656 9 resistant resistant JJ 35024 656 10 to to IN 35024 656 11 the the DT 35024 656 12 influence influence NN 35024 656 13 of of IN 35024 656 14 temperature temperature NN 35024 656 15 change change NN 35024 656 16 and and CC 35024 656 17 to to IN 35024 656 18 the the DT 35024 656 19 earth earth NN 35024 656 20 's 's POS 35024 656 21 magnetism magnetism NN 35024 656 22 . . . 35024 657 1 Quartz Quartz NNP 35024 657 2 pendulums pendulum NNS 35024 657 3 are be VBP 35024 657 4 subject subject JJ 35024 657 5 to to IN 35024 657 6 the the DT 35024 657 7 influence influence NN 35024 657 8 of of IN 35024 657 9 electrostatic electrostatic JJ 35024 657 10 charge charge NN 35024 657 11 , , , 35024 657 12 and and CC 35024 657 13 provision provision NN 35024 657 14 is be VBZ 35024 657 15 made make VBN 35024 657 16 to to TO 35024 657 17 counteract counteract VB 35024 657 18 this this DT 35024 657 19 through through IN 35024 657 20 the the DT 35024 657 21 presence presence NN 35024 657 22 of of IN 35024 657 23 a a DT 35024 657 24 radium radium NN 35024 657 25 salt salt NN 35024 657 26 in in IN 35024 657 27 the the DT 35024 657 28 case case NN 35024 657 29 . . . 35024 658 1 The the DT 35024 658 2 bearings bearing NNS 35024 658 3 are be VBP 35024 658 4 made make VBN 35024 658 5 of of IN 35024 658 6 Pyrex Pyrex NNP 35024 658 7 glass glass NN 35024 658 8 . . . 35024 658 9 ] ] -RRB- 35024 659 1 In in IN 35024 659 2 1902 1902 CD 35024 659 3 , , , 35024 659 4 Dr. Dr. NNP 35024 659 5 P. P. NNP 35024 659 6 Furtwängler[89 Furtwängler[89 NNP 35024 659 7 ] ] -RRB- 35024 659 8 presented present VBD 35024 659 9 the the DT 35024 659 10 mathematical mathematical JJ 35024 659 11 theory theory NN 35024 659 12 of of IN 35024 659 13 coupled couple VBN 35024 659 14 pendulums pendulum NNS 35024 659 15 in in IN 35024 659 16 a a DT 35024 659 17 paper paper NN 35024 659 18 in in IN 35024 659 19 which which WDT 35024 659 20 he -PRON- PRP 35024 659 21 referred refer VBD 35024 659 22 to to IN 35024 659 23 Faye Faye NNP 35024 659 24 's 's POS 35024 659 25 proposal proposal NN 35024 659 26 of of IN 35024 659 27 1877 1877 CD 35024 659 28 and and CC 35024 659 29 reported report VBD 35024 659 30 that that IN 35024 659 31 the the DT 35024 659 32 difficulties difficulty NNS 35024 659 33 predicted predict VBN 35024 659 34 upon upon IN 35024 659 35 its -PRON- PRP$ 35024 659 36 application application NN 35024 659 37 had have VBD 35024 659 38 been be VBN 35024 659 39 found find VBN 35024 659 40 not not RB 35024 659 41 to to TO 35024 659 42 occur occur VB 35024 659 43 . . . 35024 660 1 Finally finally RB 35024 660 2 , , , 35024 660 3 during during IN 35024 660 4 the the DT 35024 660 5 gravity gravity NN 35024 660 6 survey survey NN 35024 660 7 of of IN 35024 660 8 Holland Holland NNP 35024 660 9 in in IN 35024 660 10 the the DT 35024 660 11 years year NNS 35024 660 12 1913 1913 CD 35024 660 13 - - SYM 35024 660 14 1921 1921 CD 35024 660 15 , , , 35024 660 16 in in IN 35024 660 17 view view NN 35024 660 18 of of IN 35024 660 19 instability instability NN 35024 660 20 of of IN 35024 660 21 supports support NNS 35024 660 22 caused cause VBN 35024 660 23 by by IN 35024 660 24 the the DT 35024 660 25 mobility mobility NN 35024 660 26 of of IN 35024 660 27 the the DT 35024 660 28 soil soil NN 35024 660 29 , , , 35024 660 30 F. F. NNP 35024 660 31 A. a. NN 35024 660 32 Vening Vening NNP 35024 660 33 Meinesz Meinesz NNP 35024 660 34 adopted adopt VBD 35024 660 35 Faye Faye NNP 35024 660 36 's 's POS 35024 660 37 proposed propose VBN 35024 660 38 method method NN 35024 660 39 of of IN 35024 660 40 swinging swinge VBG 35024 660 41 two two CD 35024 660 42 pendulums pendulum NNS 35024 660 43 on on IN 35024 660 44 the the DT 35024 660 45 same same JJ 35024 660 46 support support NN 35024 660 47 . . . 35024 661 1 [ [ -LRB- 35024 661 2 90 90 CD 35024 661 3 ] ] -RRB- 35024 661 4 The the DT 35024 661 5 observations observation NNS 35024 661 6 were be VBD 35024 661 7 made make VBN 35024 661 8 with with IN 35024 661 9 the the DT 35024 661 10 ordinary ordinary JJ 35024 661 11 Stückrath Stückrath NNP 35024 661 12 apparatus apparatus NN 35024 661 13 , , , 35024 661 14 in in IN 35024 661 15 which which WDT 35024 661 16 four four CD 35024 661 17 Von Von NNP 35024 661 18 Sterneck Sterneck NNP 35024 661 19 pendulums pendulum NNS 35024 661 20 swung swing VBD 35024 661 21 two two CD 35024 661 22 by by IN 35024 661 23 two two CD 35024 661 24 in in IN 35024 661 25 planes plane NNS 35024 661 26 perpendicular perpendicular JJ 35024 661 27 to to IN 35024 661 28 each each DT 35024 661 29 other other JJ 35024 661 30 . . . 35024 662 1 This this DT 35024 662 2 successful successful JJ 35024 662 3 application application NN 35024 662 4 of of IN 35024 662 5 the the DT 35024 662 6 method method NN 35024 662 7 -- -- : 35024 662 8 which which WDT 35024 662 9 had have VBD 35024 662 10 been be VBN 35024 662 11 proposed propose VBN 35024 662 12 by by IN 35024 662 13 Faye Faye NNP 35024 662 14 and and CC 35024 662 15 had have VBD 35024 662 16 been be VBN 35024 662 17 demonstrated demonstrate VBN 35024 662 18 theoretically theoretically RB 35024 662 19 to to TO 35024 662 20 be be VB 35024 662 21 sound sound JJ 35024 662 22 by by IN 35024 662 23 Peirce Peirce NNP 35024 662 24 , , , 35024 662 25 who who WP 35024 662 26 also also RB 35024 662 27 published publish VBD 35024 662 28 a a DT 35024 662 29 design design NN 35024 662 30 for for IN 35024 662 31 its -PRON- PRP$ 35024 662 32 application application NN 35024 662 33 -- -- : 35024 662 34 was be VBD 35024 662 35 rapidly rapidly RB 35024 662 36 followed follow VBN 35024 662 37 for for IN 35024 662 38 pendulum pendulum NN 35024 662 39 apparatus apparatus NN 35024 662 40 for for IN 35024 662 41 relative relative JJ 35024 662 42 determinations determination NNS 35024 662 43 by by IN 35024 662 44 Potsdam,[91 Potsdam,[91 NNP 35024 662 45 ] ] -RRB- 35024 662 46 Cambridge Cambridge NNP 35024 662 47 ( ( -LRB- 35024 662 48 England),[92 england),[92 NN 35024 662 49 ] ] -RRB- 35024 662 50 Gulf Gulf NNP 35024 662 51 Oil Oil NNP 35024 662 52 and and CC 35024 662 53 Development Development NNP 35024 662 54 Company,[93 Company,[93 NNP 35024 662 55 ] ] -RRB- 35024 662 56 and and CC 35024 662 57 the the DT 35024 662 58 Dominion Dominion NNP 35024 662 59 Observatory Observatory NNP 35024 662 60 at at IN 35024 662 61 Ottawa Ottawa NNP 35024 662 62 . . . 35024 663 1 [ [ -LRB- 35024 663 2 94 94 CD 35024 663 3 ] ] -RRB- 35024 663 4 Heiskanen Heiskanen NNP 35024 663 5 and and CC 35024 663 6 Vening Vening NNP 35024 663 7 Meinesz Meinesz NNP 35024 663 8 state state NN 35024 663 9 : : : 35024 663 10 The the DT 35024 663 11 best good JJS 35024 663 12 way way NN 35024 663 13 to to TO 35024 663 14 eliminate eliminate VB 35024 663 15 the the DT 35024 663 16 effect effect NN 35024 663 17 of of IN 35024 663 18 flexure flexure NN 35024 663 19 is be VBZ 35024 663 20 to to TO 35024 663 21 use use VB 35024 663 22 two two CD 35024 663 23 synchronized synchronize VBN 35024 663 24 pendulums pendulum NNS 35024 663 25 of of IN 35024 663 26 the the DT 35024 663 27 same same JJ 35024 663 28 length length NN 35024 663 29 swinging swinge VBG 35024 663 30 on on IN 35024 663 31 the the DT 35024 663 32 same same JJ 35024 663 33 apparatus apparatus NN 35024 663 34 in in IN 35024 663 35 the the DT 35024 663 36 same same JJ 35024 663 37 plane plane NN 35024 663 38 and and CC 35024 663 39 with with IN 35024 663 40 the the DT 35024 663 41 same same JJ 35024 663 42 amplitudes amplitude NNS 35024 663 43 but but CC 35024 663 44 in in IN 35024 663 45 opposite opposite JJ 35024 663 46 phases phase NNS 35024 663 47 ; ; : 35024 663 48 it -PRON- PRP 35024 663 49 is be VBZ 35024 663 50 clear clear JJ 35024 663 51 then then RB 35024 663 52 the the DT 35024 663 53 flexure flexure NN 35024 663 54 is be VBZ 35024 663 55 zero zero CD 35024 663 56 . . . 35024 664 1 [ [ -LRB- 35024 664 2 95 95 CD 35024 664 3 ] ] -RRB- 35024 664 4 In in IN 35024 664 5 view view NN 35024 664 6 of of IN 35024 664 7 the the DT 35024 664 8 fact fact NN 35024 664 9 that that IN 35024 664 10 the the DT 35024 664 11 symmetrical symmetrical JJ 35024 664 12 reversible reversible NN 35024 664 13 pendulum pendulum NN 35024 664 14 is be VBZ 35024 664 15 named name VBN 35024 664 16 for for IN 35024 664 17 Bessel Bessel NNP 35024 664 18 , , , 35024 664 19 who who WP 35024 664 20 created create VBD 35024 664 21 the the DT 35024 664 22 theory theory NN 35024 664 23 and and CC 35024 664 24 a a DT 35024 664 25 design design NN 35024 664 26 for for IN 35024 664 27 its -PRON- PRP$ 35024 664 28 application application NN 35024 664 29 by by IN 35024 664 30 Repsold Repsold NNP 35024 664 31 , , , 35024 664 32 it -PRON- PRP 35024 664 33 appears appear VBZ 35024 664 34 appropriate appropriate JJ 35024 664 35 to to TO 35024 664 36 call call VB 35024 664 37 the the DT 35024 664 38 method method NN 35024 664 39 of of IN 35024 664 40 eliminating eliminate VBG 35024 664 41 flexure flexure NN 35024 664 42 by by IN 35024 664 43 swinging swinge VBG 35024 664 44 two two CD 35024 664 45 pendulums pendulum NNS 35024 664 46 on on IN 35024 664 47 the the DT 35024 664 48 same same JJ 35024 664 49 support support NN 35024 664 50 the the DT 35024 664 51 Faye Faye NNP 35024 664 52 - - HYPH 35024 664 53 Peirce Peirce NNP 35024 664 54 method method NN 35024 664 55 . . . 35024 665 1 Its -PRON- PRP$ 35024 665 2 successful successful JJ 35024 665 3 application application NN 35024 665 4 was be VBD 35024 665 5 made make VBN 35024 665 6 possible possible JJ 35024 665 7 by by IN 35024 665 8 Maj Maj NNP 35024 665 9 . . NNP 35024 665 10 von von NNP 35024 665 11 Sterneck Sterneck NNP 35024 665 12 's 's POS 35024 665 13 invention invention NN 35024 665 14 of of IN 35024 665 15 the the DT 35024 665 16 short short JJ 35024 665 17 , , , 35024 665 18 1/4-meter 1/4-meter CD 35024 665 19 pendulum pendulum NN 35024 665 20 . . . 35024 666 1 [ [ -LRB- 35024 666 2 Illustration illustration NN 35024 666 3 : : : 35024 666 4 Figure figure NN 35024 666 5 30.--THE 30.--the CD 35024 666 6 ACCUMULATED accumulated JJ 35024 666 7 DATA datum NNS 35024 666 8 OF of IN 35024 666 9 GRAVITY GRAVITY NNP 35024 666 10 observations observation NNS 35024 666 11 over over IN 35024 666 12 the the DT 35024 666 13 earth earth NN 35024 666 14 's 's POS 35024 666 15 surface surface NN 35024 666 16 have have VBP 35024 666 17 indicated indicate VBN 35024 666 18 that that IN 35024 666 19 irregularities irregularity NNS 35024 666 20 such such JJ 35024 666 21 as as IN 35024 666 22 mountains mountain NNS 35024 666 23 do do VBP 35024 666 24 not not RB 35024 666 25 have have VB 35024 666 26 the the DT 35024 666 27 effect effect NN 35024 666 28 which which WDT 35024 666 29 would would MD 35024 666 30 be be VB 35024 666 31 expected expect VBN 35024 666 32 in in IN 35024 666 33 modifying modify VBG 35024 666 34 gravity gravity NN 35024 666 35 , , , 35024 666 36 but but CC 35024 666 37 are be VBP 35024 666 38 somehow somehow RB 35024 666 39 compensated compensate VBN 35024 666 40 for for IN 35024 666 41 . . . 35024 667 1 The the DT 35024 667 2 most most RBS 35024 667 3 satisfactory satisfactory JJ 35024 667 4 solution solution NN 35024 667 5 to to IN 35024 667 6 this this DT 35024 667 7 still still RB 35024 667 8 unanswered unanswere VBN 35024 667 9 question question NN 35024 667 10 has have VBZ 35024 667 11 been be VBN 35024 667 12 the the DT 35024 667 13 theory theory NN 35024 667 14 of of IN 35024 667 15 isostasy isostasy NN 35024 667 16 , , , 35024 667 17 according accord VBG 35024 667 18 to to IN 35024 667 19 which which WDT 35024 667 20 variations variation NNS 35024 667 21 in in IN 35024 667 22 the the DT 35024 667 23 density density NN 35024 667 24 of of IN 35024 667 25 the the DT 35024 667 26 material material NN 35024 667 27 in in IN 35024 667 28 the the DT 35024 667 29 earth earth NN 35024 667 30 's 's POS 35024 667 31 crust crust NN 35024 667 32 produce produce VB 35024 667 33 a a DT 35024 667 34 kind kind NN 35024 667 35 of of IN 35024 667 36 hydrostatic hydrostatic JJ 35024 667 37 equilibrium equilibrium NN 35024 667 38 between between IN 35024 667 39 its -PRON- PRP$ 35024 667 40 higher high JJR 35024 667 41 and and CC 35024 667 42 lower low JJR 35024 667 43 parts part NNS 35024 667 44 , , , 35024 667 45 as as IN 35024 667 46 they -PRON- PRP 35024 667 47 " " `` 35024 667 48 float float VBP 35024 667 49 " " '' 35024 667 50 on on IN 35024 667 51 the the DT 35024 667 52 earth earth NN 35024 667 53 's 's POS 35024 667 54 fluid fluid JJ 35024 667 55 core core NN 35024 667 56 . . . 35024 668 1 The the DT 35024 668 2 metals metal NNS 35024 668 3 of of IN 35024 668 4 different different JJ 35024 668 5 density density NN 35024 668 6 floating float VBG 35024 668 7 in in IN 35024 668 8 mercury mercury NN 35024 668 9 in in IN 35024 668 10 this this DT 35024 668 11 diagram diagram NN 35024 668 12 illustrate illustrate VBP 35024 668 13 isostasy isostasy RB 35024 668 14 according accord VBG 35024 668 15 to to IN 35024 668 16 the the DT 35024 668 17 theory theory NN 35024 668 18 of of IN 35024 668 19 Pratt Pratt NNP 35024 668 20 and and CC 35024 668 21 Hayford Hayford NNP 35024 668 22 . . . 35024 668 23 ] ] -RRB- 35024 669 1 Absolute absolute JJ 35024 669 2 Value Value NNP 35024 669 3 of of IN 35024 669 4 Gravity Gravity NNP 35024 669 5 at at IN 35024 669 6 Potsdam Potsdam NNP 35024 669 7 The the DT 35024 669 8 development development NN 35024 669 9 of of IN 35024 669 10 the the DT 35024 669 11 reversible reversible JJ 35024 669 12 pendulum pendulum NN 35024 669 13 in in IN 35024 669 14 the the DT 35024 669 15 19th 19th JJ 35024 669 16 century century NN 35024 669 17 culminated culminate VBN 35024 669 18 in in IN 35024 669 19 the the DT 35024 669 20 absolute absolute JJ 35024 669 21 determination determination NN 35024 669 22 of of IN 35024 669 23 the the DT 35024 669 24 intensity intensity NN 35024 669 25 of of IN 35024 669 26 gravity gravity NN 35024 669 27 at at IN 35024 669 28 Potsdam Potsdam NNP 35024 669 29 by by IN 35024 669 30 Kühnen Kühnen NNP 35024 669 31 and and CC 35024 669 32 Furtwängler Furtwängler NNP 35024 669 33 of of IN 35024 669 34 the the DT 35024 669 35 Royal Royal NNP 35024 669 36 Prussian Prussian NNP 35024 669 37 Geodetic Geodetic NNP 35024 669 38 Institute Institute NNP 35024 669 39 , , , 35024 669 40 which which WDT 35024 669 41 then then RB 35024 669 42 became become VBD 35024 669 43 the the DT 35024 669 44 world world NN 35024 669 45 base base NN 35024 669 46 for for IN 35024 669 47 gravity gravity NN 35024 669 48 surveys survey NNS 35024 669 49 . . . 35024 670 1 [ [ -LRB- 35024 670 2 96 96 CD 35024 670 3 ] ] -RRB- 35024 670 4 We -PRON- PRP 35024 670 5 have have VBP 35024 670 6 previously previously RB 35024 670 7 seen see VBN 35024 670 8 that that IN 35024 670 9 in in IN 35024 670 10 1869 1869 CD 35024 670 11 the the DT 35024 670 12 Geodetic Geodetic NNP 35024 670 13 Institute Institute NNP 35024 670 14 -- -- : 35024 670 15 founded found VBN 35024 670 16 by by IN 35024 670 17 Lt Lt NNP 35024 670 18 . . NNP 35024 670 19 Gen. Gen. NNP 35024 670 20 Baeyer Baeyer NNP 35024 670 21 -- -- : 35024 670 22 had have VBD 35024 670 23 acquired acquire VBN 35024 670 24 a a DT 35024 670 25 Repsold Repsold NNP 35024 670 26 - - HYPH 35024 670 27 Bessel Bessel NNP 35024 670 28 reversible reversible NN 35024 670 29 pendulum pendulum NN 35024 670 30 which which WDT 35024 670 31 was be VBD 35024 670 32 swung swing VBN 35024 670 33 by by IN 35024 670 34 Dr. Dr. NNP 35024 670 35 Albrecht Albrecht NNP 35024 670 36 under under IN 35024 670 37 the the DT 35024 670 38 direction direction NN 35024 670 39 of of IN 35024 670 40 Dr. Dr. NNP 35024 670 41 Bruhns Bruhns NNP 35024 670 42 . . . 35024 671 1 Dissatisfaction dissatisfaction NN 35024 671 2 with with IN 35024 671 3 this this DT 35024 671 4 instrument instrument NN 35024 671 5 was be VBD 35024 671 6 expressed express VBN 35024 671 7 by by IN 35024 671 8 Baeyer Baeyer NNP 35024 671 9 in in IN 35024 671 10 1875 1875 CD 35024 671 11 to to IN 35024 671 12 Charles Charles NNP 35024 671 13 S. S. NNP 35024 671 14 Peirce Peirce NNP 35024 671 15 , , , 35024 671 16 who who WP 35024 671 17 then then RB 35024 671 18 , , , 35024 671 19 by by IN 35024 671 20 experiment experiment NN 35024 671 21 and and CC 35024 671 22 mathematical mathematical JJ 35024 671 23 analysis analysis NN 35024 671 24 of of IN 35024 671 25 the the DT 35024 671 26 flexure flexure NN 35024 671 27 of of IN 35024 671 28 the the DT 35024 671 29 stand stand NN 35024 671 30 under under IN 35024 671 31 oscillations oscillation NNS 35024 671 32 of of IN 35024 671 33 the the DT 35024 671 34 pendulum pendulum NN 35024 671 35 , , , 35024 671 36 determined determine VBD 35024 671 37 that that IN 35024 671 38 previously previously RB 35024 671 39 reported report VBD 35024 671 40 results result NNS 35024 671 41 with with IN 35024 671 42 the the DT 35024 671 43 Repsold Repsold NNP 35024 671 44 apparatus apparatus NN 35024 671 45 required require VBD 35024 671 46 correction correction NN 35024 671 47 . . . 35024 672 1 Dr. Dr. NNP 35024 672 2 F. F. NNP 35024 672 3 R. R. NNP 35024 672 4 Helmert Helmert NNP 35024 672 5 , , , 35024 672 6 who who WP 35024 672 7 in in IN 35024 672 8 1887 1887 CD 35024 672 9 succeeded succeed VBD 35024 672 10 Baeyer Baeyer NNP 35024 672 11 as as IN 35024 672 12 director director NN 35024 672 13 of of IN 35024 672 14 the the DT 35024 672 15 Institute Institute NNP 35024 672 16 , , , 35024 672 17 secured secured JJ 35024 672 18 construction construction NN 35024 672 19 of of IN 35024 672 20 a a DT 35024 672 21 building building NN 35024 672 22 for for IN 35024 672 23 the the DT 35024 672 24 Institute Institute NNP 35024 672 25 in in IN 35024 672 26 Potsdam Potsdam NNP 35024 672 27 , , , 35024 672 28 and and CC 35024 672 29 under under IN 35024 672 30 his -PRON- PRP$ 35024 672 31 direction direction NN 35024 672 32 the the DT 35024 672 33 scientific scientific JJ 35024 672 34 study study NN 35024 672 35 of of IN 35024 672 36 the the DT 35024 672 37 intensity intensity NN 35024 672 38 of of IN 35024 672 39 gravity gravity NN 35024 672 40 was be VBD 35024 672 41 pursued pursue VBN 35024 672 42 with with IN 35024 672 43 vigor vigor NN 35024 672 44 . . . 35024 673 1 In in IN 35024 673 2 1894 1894 CD 35024 673 3 , , , 35024 673 4 it -PRON- PRP 35024 673 5 was be VBD 35024 673 6 discovered discover VBN 35024 673 7 in in IN 35024 673 8 Potsdam Potsdam NNP 35024 673 9 that that IN 35024 673 10 a a DT 35024 673 11 pendulum pendulum NN 35024 673 12 constructed construct VBN 35024 673 13 of of IN 35024 673 14 very very RB 35024 673 15 flexible flexible JJ 35024 673 16 material material NN 35024 673 17 yielded yield VBN 35024 673 18 results result NNS 35024 673 19 which which WDT 35024 673 20 differed differ VBD 35024 673 21 markedly markedly RB 35024 673 22 from from IN 35024 673 23 those those DT 35024 673 24 obtained obtain VBN 35024 673 25 with with IN 35024 673 26 pendulums pendulum NNS 35024 673 27 of of IN 35024 673 28 greater great JJR 35024 673 29 stiffness stiffness NN 35024 673 30 . . . 35024 674 1 Dr. Dr. NNP 35024 674 2 Kühnen Kühnen NNP 35024 674 3 of of IN 35024 674 4 the the DT 35024 674 5 Institute Institute NNP 35024 674 6 discovered discover VBD 35024 674 7 that that IN 35024 674 8 the the DT 35024 674 9 departure departure NN 35024 674 10 from from IN 35024 674 11 expectations expectation NNS 35024 674 12 was be VBD 35024 674 13 the the DT 35024 674 14 result result NN 35024 674 15 of of IN 35024 674 16 the the DT 35024 674 17 flexure flexure NN 35024 674 18 of of IN 35024 674 19 the the DT 35024 674 20 pendulum pendulum NN 35024 674 21 staff staff NN 35024 674 22 itself -PRON- PRP 35024 674 23 during during IN 35024 674 24 oscillations oscillation NNS 35024 674 25 . . . 35024 675 1 [ [ -LRB- 35024 675 2 97 97 CD 35024 675 3 ] ] -RRB- 35024 675 4 Peirce Peirce NNP 35024 675 5 , , , 35024 675 6 in in IN 35024 675 7 1883 1883 CD 35024 675 8 , , , 35024 675 9 had have VBD 35024 675 10 discovered discover VBN 35024 675 11 that that IN 35024 675 12 the the DT 35024 675 13 recesses recess NNS 35024 675 14 cut cut VBN 35024 675 15 in in IN 35024 675 16 his -PRON- PRP$ 35024 675 17 pendulums pendulum NNS 35024 675 18 for for IN 35024 675 19 the the DT 35024 675 20 insertion insertion NN 35024 675 21 of of IN 35024 675 22 tongues tongue NNS 35024 675 23 that that WDT 35024 675 24 carried carry VBD 35024 675 25 the the DT 35024 675 26 knives knife NNS 35024 675 27 had have VBD 35024 675 28 resulted result VBN 35024 675 29 in in IN 35024 675 30 the the DT 35024 675 31 flexure flexure NN 35024 675 32 of of IN 35024 675 33 the the DT 35024 675 34 pendulum pendulum NN 35024 675 35 staff staff NN 35024 675 36 . . . 35024 676 1 [ [ -LRB- 35024 676 2 98 98 CD 35024 676 3 ] ] -RRB- 35024 676 4 By by IN 35024 676 5 experiment experiment NN 35024 676 6 , , , 35024 676 7 he -PRON- PRP 35024 676 8 also also RB 35024 676 9 found find VBD 35024 676 10 an an DT 35024 676 11 even even RB 35024 676 12 greater great JJR 35024 676 13 flexure flexure NN 35024 676 14 for for IN 35024 676 15 the the DT 35024 676 16 Repsold Repsold NNP 35024 676 17 pendulum pendulum NN 35024 676 18 . . . 35024 677 1 In in IN 35024 677 2 order order NN 35024 677 3 to to TO 35024 677 4 eliminate eliminate VB 35024 677 5 this this DT 35024 677 6 source source NN 35024 677 7 of of IN 35024 677 8 error error NN 35024 677 9 , , , 35024 677 10 Peirce Peirce NNP 35024 677 11 designed design VBD 35024 677 12 a a DT 35024 677 13 pendulum pendulum NN 35024 677 14 with with IN 35024 677 15 knives knife NNS 35024 677 16 that that WDT 35024 677 17 extended extend VBD 35024 677 18 from from IN 35024 677 19 each each DT 35024 677 20 side side NN 35024 677 21 of of IN 35024 677 22 the the DT 35024 677 23 cylindrical cylindrical JJ 35024 677 24 staff staff NN 35024 677 25 , , , 35024 677 26 and and CC 35024 677 27 he -PRON- PRP 35024 677 28 received receive VBD 35024 677 29 authorization authorization NN 35024 677 30 from from IN 35024 677 31 the the DT 35024 677 32 superintendent superintendent NN 35024 677 33 of of IN 35024 677 34 the the DT 35024 677 35 Coast Coast NNP 35024 677 36 and and CC 35024 677 37 Geodetic Geodetic NNP 35024 677 38 Survey Survey NNP 35024 677 39 to to TO 35024 677 40 arrange arrange VB 35024 677 41 for for IN 35024 677 42 the the DT 35024 677 43 construction construction NN 35024 677 44 of of IN 35024 677 45 such such JJ 35024 677 46 pendulums pendulum NNS 35024 677 47 by by IN 35024 677 48 Gautier Gautier NNP 35024 677 49 in in IN 35024 677 50 Paris Paris NNP 35024 677 51 . . . 35024 678 1 Peirce Peirce NNP 35024 678 2 , , , 35024 678 3 who who WP 35024 678 4 had have VBD 35024 678 5 made make VBN 35024 678 6 his -PRON- PRP$ 35024 678 7 plans plan NNS 35024 678 8 in in IN 35024 678 9 consultation consultation NN 35024 678 10 with with IN 35024 678 11 Gautier Gautier NNP 35024 678 12 , , , 35024 678 13 was be VBD 35024 678 14 called call VBN 35024 678 15 home home RB 35024 678 16 before before IN 35024 678 17 the the DT 35024 678 18 pendulums pendulum NNS 35024 678 19 were be VBD 35024 678 20 completed complete VBN 35024 678 21 , , , 35024 678 22 and and CC 35024 678 23 these these DT 35024 678 24 new new JJ 35024 678 25 instruments instrument NNS 35024 678 26 remained remain VBD 35024 678 27 undelivered undelivered JJ 35024 678 28 . . . 35024 679 1 In in IN 35024 679 2 a a DT 35024 679 3 memoir memoir NN 35024 679 4 titled title VBN 35024 679 5 " " `` 35024 679 6 Effect effect NN 35024 679 7 of of IN 35024 679 8 the the DT 35024 679 9 flexure flexure NN 35024 679 10 of of IN 35024 679 11 a a DT 35024 679 12 pendulum pendulum NN 35024 679 13 upon upon IN 35024 679 14 its -PRON- PRP$ 35024 679 15 period period NN 35024 679 16 of of IN 35024 679 17 oscillation,"[99 oscillation,"[99 NNP 35024 679 18 ] ] -RRB- 35024 679 19 Peirce Peirce NNP 35024 679 20 determined determine VBD 35024 679 21 analytically analytically RB 35024 679 22 the the DT 35024 679 23 effect effect NN 35024 679 24 on on IN 35024 679 25 the the DT 35024 679 26 period period NN 35024 679 27 of of IN 35024 679 28 a a DT 35024 679 29 pendulum pendulum NN 35024 679 30 with with IN 35024 679 31 a a DT 35024 679 32 single single JJ 35024 679 33 elastic elastic JJ 35024 679 34 connection connection NN 35024 679 35 between between IN 35024 679 36 two two CD 35024 679 37 rigid rigid JJ 35024 679 38 parts part NNS 35024 679 39 of of IN 35024 679 40 the the DT 35024 679 41 staff staff NN 35024 679 42 . . . 35024 680 1 Thus thus RB 35024 680 2 , , , 35024 680 3 Peirce Peirce NNP 35024 680 4 discovered discover VBD 35024 680 5 experimentally experimentally RB 35024 680 6 the the DT 35024 680 7 flexure flexure NN 35024 680 8 of of IN 35024 680 9 the the DT 35024 680 10 staff staff NN 35024 680 11 and and CC 35024 680 12 derived derive VBD 35024 680 13 for for IN 35024 680 14 a a DT 35024 680 15 simplified simplify VBN 35024 680 16 case case NN 35024 680 17 the the DT 35024 680 18 effect effect NN 35024 680 19 on on IN 35024 680 20 the the DT 35024 680 21 period period NN 35024 680 22 . . . 35024 681 1 It -PRON- PRP 35024 681 2 is be VBZ 35024 681 3 not not RB 35024 681 4 known know VBN 35024 681 5 if if IN 35024 681 6 he -PRON- PRP 35024 681 7 ever ever RB 35024 681 8 found find VBD 35024 681 9 the the DT 35024 681 10 integrated integrated JJ 35024 681 11 effect effect NN 35024 681 12 of of IN 35024 681 13 the the DT 35024 681 14 continuum continuum NN 35024 681 15 of of IN 35024 681 16 elastic elastic JJ 35024 681 17 connections connection NNS 35024 681 18 in in IN 35024 681 19 the the DT 35024 681 20 pendulum pendulum NN 35024 681 21 . . . 35024 682 1 Lorenzoni Lorenzoni NNP 35024 682 2 , , , 35024 682 3 in in IN 35024 682 4 1896 1896 CD 35024 682 5 , , , 35024 682 6 offered offer VBD 35024 682 7 a a DT 35024 682 8 solution solution NN 35024 682 9 to to IN 35024 682 10 the the DT 35024 682 11 problem problem NN 35024 682 12 , , , 35024 682 13 and and CC 35024 682 14 Almansi Almansi NNP 35024 682 15 , , , 35024 682 16 in in IN 35024 682 17 1899 1899 CD 35024 682 18 , , , 35024 682 19 gave give VBD 35024 682 20 an an DT 35024 682 21 extended extended JJ 35024 682 22 analysis analysis NN 35024 682 23 . . . 35024 683 1 After after IN 35024 683 2 the the DT 35024 683 3 independent independent JJ 35024 683 4 discovery discovery NN 35024 683 5 of of IN 35024 683 6 the the DT 35024 683 7 problem problem NN 35024 683 8 at at IN 35024 683 9 the the DT 35024 683 10 Geodetic Geodetic NNP 35024 683 11 Institute Institute NNP 35024 683 12 , , , 35024 683 13 Dr. Dr. NNP 35024 683 14 Helmert Helmert NNP 35024 683 15 took take VBD 35024 683 16 up up RP 35024 683 17 the the DT 35024 683 18 problem problem NN 35024 683 19 and and CC 35024 683 20 criticized criticize VBD 35024 683 21 the the DT 35024 683 22 theories theory NNS 35024 683 23 of of IN 35024 683 24 Peirce Peirce NNP 35024 683 25 and and CC 35024 683 26 Lorenzoni Lorenzoni NNP 35024 683 27 . . . 35024 684 1 He -PRON- PRP 35024 684 2 then then RB 35024 684 3 presented present VBD 35024 684 4 his -PRON- PRP$ 35024 684 5 own own JJ 35024 684 6 theory theory NN 35024 684 7 of of IN 35024 684 8 flexure flexure NN 35024 684 9 in in IN 35024 684 10 a a DT 35024 684 11 comprehensive comprehensive JJ 35024 684 12 memoir memoir NN 35024 684 13 . . . 35024 685 1 [ [ -LRB- 35024 685 2 100 100 CD 35024 685 3 ] ] -RRB- 35024 685 4 In in IN 35024 685 5 view view NN 35024 685 6 of of IN 35024 685 7 the the DT 35024 685 8 previous previous JJ 35024 685 9 neglect neglect NN 35024 685 10 of of IN 35024 685 11 the the DT 35024 685 12 flexure flexure NN 35024 685 13 of of IN 35024 685 14 the the DT 35024 685 15 pendulum pendulum NN 35024 685 16 staff staff NN 35024 685 17 in in IN 35024 685 18 the the DT 35024 685 19 reduction reduction NN 35024 685 20 of of IN 35024 685 21 observations observation NNS 35024 685 22 , , , 35024 685 23 Helmert Helmert NNP 35024 685 24 directed direct VBD 35024 685 25 that that IN 35024 685 26 the the DT 35024 685 27 Geodetic Geodetic NNP 35024 685 28 Institute Institute NNP 35024 685 29 make make VBP 35024 685 30 a a DT 35024 685 31 new new JJ 35024 685 32 absolute absolute JJ 35024 685 33 determination determination NN 35024 685 34 of of IN 35024 685 35 the the DT 35024 685 36 intensity intensity NN 35024 685 37 of of IN 35024 685 38 gravity gravity NN 35024 685 39 at at IN 35024 685 40 Potsdam Potsdam NNP 35024 685 41 . . . 35024 686 1 For for IN 35024 686 2 this this DT 35024 686 3 purpose purpose NN 35024 686 4 , , , 35024 686 5 Kühnen Kühnen NNP 35024 686 6 and and CC 35024 686 7 Furtwängler Furtwängler NNP 35024 686 8 used use VBD 35024 686 9 the the DT 35024 686 10 following follow VBG 35024 686 11 reversible reversible JJ 35024 686 12 pendulums pendulum NNS 35024 686 13 which which WDT 35024 686 14 had have VBD 35024 686 15 been be VBN 35024 686 16 constructed construct VBN 35024 686 17 by by IN 35024 686 18 the the DT 35024 686 19 firm firm NN 35024 686 20 of of IN 35024 686 21 A. A. NNP 35024 686 22 Repsold Repsold NNP 35024 686 23 and and CC 35024 686 24 Sons Sons NNPS 35024 686 25 in in IN 35024 686 26 Hamburg Hamburg NNP 35024 686 27 : : : 35024 686 28 1 1 CD 35024 686 29 . . . 35024 687 1 The the DT 35024 687 2 seconds second NNS 35024 687 3 pendulum pendulum NN 35024 687 4 of of IN 35024 687 5 the the DT 35024 687 6 Geodetic Geodetic NNP 35024 687 7 Institute Institute NNP 35024 687 8 procured procure VBD 35024 687 9 in in IN 35024 687 10 1869 1869 CD 35024 687 11 . . . 35024 688 1 2 2 LS 35024 688 2 . . . 35024 689 1 A a DT 35024 689 2 seconds second NNS 35024 689 3 pendulum pendulum NN 35024 689 4 from from IN 35024 689 5 the the DT 35024 689 6 Astronomical Astronomical NNP 35024 689 7 Observatory Observatory NNP 35024 689 8 , , , 35024 689 9 Padua Padua NNP 35024 689 10 . . . 35024 690 1 3 3 LS 35024 690 2 . . . 35024 691 1 A a DT 35024 691 2 heavy heavy JJ 35024 691 3 , , , 35024 691 4 seconds second NNS 35024 691 5 pendulum pendulum NN 35024 691 6 from from IN 35024 691 7 the the DT 35024 691 8 Imperial Imperial NNP 35024 691 9 and and CC 35024 691 10 Royal Royal NNP 35024 691 11 Military Military NNP 35024 691 12 - - HYPH 35024 691 13 Geographical Geographical NNP 35024 691 14 Institute Institute NNP 35024 691 15 , , , 35024 691 16 Vienna Vienna NNP 35024 691 17 . . . 35024 692 1 4 4 LS 35024 692 2 . . . 35024 693 1 A a DT 35024 693 2 light light NN 35024 693 3 , , , 35024 693 4 seconds second NNS 35024 693 5 pendulum pendulum NN 35024 693 6 from from IN 35024 693 7 the the DT 35024 693 8 Imperial Imperial NNP 35024 693 9 and and CC 35024 693 10 Royal Royal NNP 35024 693 11 Military Military NNP 35024 693 12 - - HYPH 35024 693 13 Geographical Geographical NNP 35024 693 14 Institute Institute NNP 35024 693 15 . . . 35024 694 1 5 5 CD 35024 694 2 . . . 35024 695 1 A a DT 35024 695 2 1/2-second 1/2-second CD 35024 695 3 , , , 35024 695 4 reversible reversible JJ 35024 695 5 pendulum pendulum NN 35024 695 6 of of IN 35024 695 7 the the DT 35024 695 8 Geodetic Geodetic NNP 35024 695 9 Institute Institute NNP 35024 695 10 procured procure VBD 35024 695 11 in in IN 35024 695 12 1892 1892 CD 35024 695 13 . . . 35024 696 1 Work work NN 35024 696 2 was be VBD 35024 696 3 begun begin VBN 35024 696 4 in in IN 35024 696 5 1898 1898 CD 35024 696 6 , , , 35024 696 7 and and CC 35024 696 8 in in IN 35024 696 9 1906 1906 CD 35024 696 10 Kühnen Kühnen NNP 35024 696 11 and and CC 35024 696 12 Furtwängler Furtwängler NNP 35024 696 13 published publish VBD 35024 696 14 their -PRON- PRP$ 35024 696 15 monumental monumental JJ 35024 696 16 memoir memoir NN 35024 696 17 , , , 35024 696 18 " " '' 35024 696 19 Bestimmung Bestimmung NNP 35024 696 20 der der VBP 35024 696 21 Absoluten Absoluten NNP 35024 696 22 Grösze Grösze NNP 35024 696 23 der der NN 35024 696 24 Schwerkraft schwerkraft NN 35024 696 25 zu zu NN 35024 696 26 Potsdam Potsdam NNP 35024 696 27 mit mit NN 35024 696 28 Reversionspendeln Reversionspendeln NNP 35024 696 29 . . . 35024 696 30 " " '' 35024 697 1 The the DT 35024 697 2 acceleration acceleration NN 35024 697 3 of of IN 35024 697 4 gravity gravity NN 35024 697 5 in in IN 35024 697 6 the the DT 35024 697 7 pendulum pendulum NN 35024 697 8 room room NN 35024 697 9 of of IN 35024 697 10 the the DT 35024 697 11 Geodetic Geodetic NNP 35024 697 12 Institute Institute NNP 35024 697 13 was be VBD 35024 697 14 determined determined JJ 35024 697 15 to to TO 35024 697 16 be be VB 35024 697 17 981.274 981.274 CD 35024 697 18 ± ± CD 35024 697 19 0.003 0.003 CD 35024 697 20 cm cm NNS 35024 697 21 / / SYM 35024 697 22 sec^{2 sec^{2 NN 35024 697 23 } } -RRB- 35024 697 24 . . . 35024 698 1 In in IN 35024 698 2 view view NN 35024 698 3 of of IN 35024 698 4 the the DT 35024 698 5 exceptionally exceptionally RB 35024 698 6 careful careful JJ 35024 698 7 and and CC 35024 698 8 thorough thorough JJ 35024 698 9 determination determination NN 35024 698 10 at at IN 35024 698 11 the the DT 35024 698 12 Institute Institute NNP 35024 698 13 , , , 35024 698 14 Potsdam Potsdam NNP 35024 698 15 was be VBD 35024 698 16 accepted accept VBN 35024 698 17 as as IN 35024 698 18 the the DT 35024 698 19 world world NN 35024 698 20 base base NN 35024 698 21 for for IN 35024 698 22 the the DT 35024 698 23 absolute absolute JJ 35024 698 24 value value NN 35024 698 25 of of IN 35024 698 26 the the DT 35024 698 27 intensity intensity NN 35024 698 28 of of IN 35024 698 29 gravity gravity NN 35024 698 30 . . . 35024 699 1 The the DT 35024 699 2 absolute absolute JJ 35024 699 3 value value NN 35024 699 4 of of IN 35024 699 5 gravity gravity NN 35024 699 6 at at IN 35024 699 7 some some DT 35024 699 8 other other JJ 35024 699 9 station station NN 35024 699 10 on on IN 35024 699 11 the the DT 35024 699 12 Potsdam Potsdam NNP 35024 699 13 system system NN 35024 699 14 was be VBD 35024 699 15 determined determine VBN 35024 699 16 from from IN 35024 699 17 the the DT 35024 699 18 times time NNS 35024 699 19 of of IN 35024 699 20 swing swing NN 35024 699 21 of of IN 35024 699 22 an an DT 35024 699 23 invariable invariable JJ 35024 699 24 pendulum pendulum NN 35024 699 25 at at IN 35024 699 26 the the DT 35024 699 27 station station NN 35024 699 28 and and CC 35024 699 29 at at IN 35024 699 30 Potsdam Potsdam NNP 35024 699 31 by by IN 35024 699 32 the the DT 35024 699 33 relation relation NN 35024 699 34 ( ( -LRB- 35024 699 35 T_{1})^{2}/(T_{2})^{2 t_{1})^{2}/(t_{2})^{2 NN 35024 699 36 } } -RRB- 35024 699 37 = = SYM 35024 699 38 g_{2}/g_{1 g_{2}/g_{1 NNP 35024 699 39 } } -RRB- 35024 699 40 . . . 35024 700 1 Thus thus RB 35024 700 2 , , , 35024 700 3 in in IN 35024 700 4 1900 1900 CD 35024 700 5 , , , 35024 700 6 Assistant Assistant NNP 35024 700 7 G. G. NNP 35024 700 8 R. R. NNP 35024 700 9 Putnam Putnam NNP 35024 700 10 of of IN 35024 700 11 the the DT 35024 700 12 Coast Coast NNP 35024 700 13 and and CC 35024 700 14 Geodetic Geodetic NNP 35024 700 15 Survey Survey NNP 35024 700 16 swung swing VBD 35024 700 17 Mendenhall Mendenhall NNP 35024 700 18 pendulums pendulum VBZ 35024 700 19 at at IN 35024 700 20 the the DT 35024 700 21 Washington Washington NNP 35024 700 22 base base NN 35024 700 23 and and CC 35024 700 24 at at IN 35024 700 25 Potsdam Potsdam NNP 35024 700 26 , , , 35024 700 27 and and CC 35024 700 28 by by IN 35024 700 29 transfer transfer NN 35024 700 30 from from IN 35024 700 31 Potsdam Potsdam NNP 35024 700 32 determined determine VBD 35024 700 33 the the DT 35024 700 34 intensity intensity NN 35024 700 35 of of IN 35024 700 36 gravity gravity NN 35024 700 37 at at IN 35024 700 38 the the DT 35024 700 39 Washington Washington NNP 35024 700 40 base base NN 35024 700 41 to to TO 35024 700 42 be be VB 35024 700 43 980.112 980.112 CD 35024 700 44 cm cm NNS 35024 700 45 / / SYM 35024 700 46 sec^{2 sec^{2 NN 35024 700 47 } } -RRB- 35024 700 48 . . . 35024 701 1 [ [ -LRB- 35024 701 2 101 101 CD 35024 701 3 ] ] -RRB- 35024 701 4 In in IN 35024 701 5 1933 1933 CD 35024 701 6 , , , 35024 701 7 Lt Lt NNP 35024 701 8 . . NNP 35024 701 9 E. E. NNP 35024 701 10 J. J. NNP 35024 702 1 Brown Brown NNP 35024 702 2 made make VBD 35024 702 3 comparative comparative JJ 35024 702 4 measurements measurement NNS 35024 702 5 with with IN 35024 702 6 improved improved JJ 35024 702 7 apparatus apparatus NN 35024 702 8 and and CC 35024 702 9 raised raise VBD 35024 702 10 the the DT 35024 702 11 value value NN 35024 702 12 at at IN 35024 702 13 the the DT 35024 702 14 Washington Washington NNP 35024 702 15 base base NN 35024 702 16 to to IN 35024 702 17 980.118 980.118 CD 35024 702 18 cm cm NNS 35024 702 19 / / SYM 35024 702 20 sec^{2 sec^{2 NN 35024 702 21 } } -RRB- 35024 702 22 . . . 35024 703 1 [ [ -LRB- 35024 703 2 102 102 CD 35024 703 3 ] ] -RRB- 35024 703 4 In in IN 35024 703 5 view view NN 35024 703 6 of of IN 35024 703 7 discrepancies discrepancy NNS 35024 703 8 between between IN 35024 703 9 the the DT 35024 703 10 results result NNS 35024 703 11 of of IN 35024 703 12 various various JJ 35024 703 13 relative relative JJ 35024 703 14 determinations determination NNS 35024 703 15 , , , 35024 703 16 the the DT 35024 703 17 Coast Coast NNP 35024 703 18 and and CC 35024 703 19 Geodetic Geodetic NNP 35024 703 20 Survey Survey NNP 35024 703 21 in in IN 35024 703 22 1928 1928 CD 35024 703 23 requested request VBD 35024 703 24 the the DT 35024 703 25 National National NNP 35024 703 26 Bureau Bureau NNP 35024 703 27 of of IN 35024 703 28 Standards Standards NNPS 35024 703 29 to to TO 35024 703 30 make make VB 35024 703 31 an an DT 35024 703 32 absolute absolute JJ 35024 703 33 determination determination NN 35024 703 34 for for IN 35024 703 35 Washington Washington NNP 35024 703 36 . . . 35024 704 1 Heyl Heyl NNP 35024 704 2 and and CC 35024 704 3 Cook Cook NNP 35024 704 4 used use VBD 35024 704 5 reversible reversible JJ 35024 704 6 pendulums pendulum NNS 35024 704 7 made make VBN 35024 704 8 of of IN 35024 704 9 fused fuse VBN 35024 704 10 silica silica NN 35024 704 11 having have VBG 35024 704 12 a a DT 35024 704 13 period period NN 35024 704 14 of of IN 35024 704 15 approximately approximately RB 35024 704 16 1 1 CD 35024 704 17 second second NN 35024 704 18 . . . 35024 705 1 Their -PRON- PRP$ 35024 705 2 result result NN 35024 705 3 , , , 35024 705 4 published publish VBN 35024 705 5 in in IN 35024 705 6 1936 1936 CD 35024 705 7 , , , 35024 705 8 was be VBD 35024 705 9 interpreted interpret VBN 35024 705 10 to to TO 35024 705 11 indicate indicate VB 35024 705 12 that that IN 35024 705 13 the the DT 35024 705 14 value value NN 35024 705 15 at at IN 35024 705 16 Potsdam Potsdam NNP 35024 705 17 was be VBD 35024 705 18 too too RB 35024 705 19 high high JJ 35024 705 20 by by IN 35024 705 21 20 20 CD 35024 705 22 parts part NNS 35024 705 23 in in IN 35024 705 24 1 1 CD 35024 705 25 million million CD 35024 705 26 . . . 35024 706 1 [ [ -LRB- 35024 706 2 103 103 CD 35024 706 3 ] ] -RRB- 35024 706 4 This this DT 35024 706 5 estimate estimate NN 35024 706 6 was be VBD 35024 706 7 lowered lower VBN 35024 706 8 slightly slightly RB 35024 706 9 by by IN 35024 706 10 Sir Sir NNP 35024 706 11 Harold Harold NNP 35024 706 12 Jeffreys Jeffreys NNP 35024 706 13 of of IN 35024 706 14 Cambridge Cambridge NNP 35024 706 15 , , , 35024 706 16 England England NNP 35024 706 17 , , , 35024 706 18 who who WP 35024 706 19 recomputed recompute VBD 35024 706 20 the the DT 35024 706 21 results result NNS 35024 706 22 of of IN 35024 706 23 Heyl Heyl NNP 35024 706 24 and and CC 35024 706 25 Cook Cook NNP 35024 706 26 by by IN 35024 706 27 different different JJ 35024 706 28 methods method NNS 35024 706 29 . . . 35024 707 1 [ [ -LRB- 35024 707 2 104 104 CD 35024 707 3 ] ] -RRB- 35024 707 4 [ [ -LRB- 35024 707 5 Illustration illustration NN 35024 707 6 : : : 35024 707 7 Figure figure NN 35024 707 8 31.--MAP 31.--map CD 35024 707 9 SHOWING show VBG 35024 707 10 THE the DT 35024 707 11 DISTRIBUTION distribution NN 35024 707 12 of of IN 35024 707 13 gravity gravity NN 35024 707 14 stations station NNS 35024 707 15 throughout throughout IN 35024 707 16 the the DT 35024 707 17 United United NNP 35024 707 18 States States NNP 35024 707 19 as as IN 35024 707 20 of of IN 35024 707 21 December December NNP 35024 707 22 1908 1908 CD 35024 707 23 . . . 35024 707 24 ] ] -RRB- 35024 708 1 [ [ -LRB- 35024 708 2 Illustration illustration NN 35024 708 3 : : : 35024 708 4 Figure figure NN 35024 708 5 32.--MAP 32.--map CD 35024 708 6 SHOWING show VBG 35024 708 7 THE the DT 35024 708 8 DISTRIBUTION distribution NN 35024 708 9 of of IN 35024 708 10 gravity gravity NN 35024 708 11 stations station NNS 35024 708 12 throughout throughout IN 35024 708 13 the the DT 35024 708 14 United United NNP 35024 708 15 States States NNP 35024 708 16 in in IN 35024 708 17 1923 1923 CD 35024 708 18 . . . 35024 708 19 ] ] -RRB- 35024 709 1 In in IN 35024 709 2 1939 1939 CD 35024 709 3 , , , 35024 709 4 J. J. NNP 35024 709 5 S. S. NNP 35024 709 6 Clark Clark NNP 35024 709 7 published publish VBD 35024 709 8 the the DT 35024 709 9 results result NNS 35024 709 10 of of IN 35024 709 11 a a DT 35024 709 12 determination determination NN 35024 709 13 of of IN 35024 709 14 gravity gravity NN 35024 709 15 with with IN 35024 709 16 pendulums pendulum NNS 35024 709 17 of of IN 35024 709 18 a a DT 35024 709 19 non non JJ 35024 709 20 - - JJ 35024 709 21 ferrous ferrous JJ 35024 709 22 Y Y NNP 35024 709 23 - - HYPH 35024 709 24 alloy[105 alloy[105 NNP 35024 709 25 ] ] -RRB- 35024 709 26 at at IN 35024 709 27 the the DT 35024 709 28 National National NNP 35024 709 29 Physical Physical NNP 35024 709 30 Laboratory Laboratory NNP 35024 709 31 at at IN 35024 709 32 Teddington Teddington NNP 35024 709 33 , , , 35024 709 34 England England NNP 35024 709 35 , , , 35024 709 36 and and CC 35024 709 37 , , , 35024 709 38 after after IN 35024 709 39 recomputation recomputation NN 35024 709 40 of of IN 35024 709 41 results result NNS 35024 709 42 by by IN 35024 709 43 Jeffreys Jeffreys NNP 35024 709 44 , , , 35024 709 45 the the DT 35024 709 46 value value NN 35024 709 47 was be VBD 35024 709 48 found find VBN 35024 709 49 to to TO 35024 709 50 be be VB 35024 709 51 12.8 12.8 CD 35024 709 52 parts part NNS 35024 709 53 in in IN 35024 709 54 1 1 CD 35024 709 55 million million CD 35024 709 56 less less JJR 35024 709 57 than than IN 35024 709 58 the the DT 35024 709 59 value value NN 35024 709 60 obtained obtain VBN 35024 709 61 by by IN 35024 709 62 transfer transfer NN 35024 709 63 from from IN 35024 709 64 Potsdam Potsdam NNP 35024 709 65 . . . 35024 710 1 Dr. Dr. NNP 35024 710 2 Hugh Hugh NNP 35024 710 3 L. L. NNP 35024 710 4 Dryden Dryden NNP 35024 710 5 of of IN 35024 710 6 the the DT 35024 710 7 National National NNP 35024 710 8 Bureau Bureau NNP 35024 710 9 of of IN 35024 710 10 Standards Standards NNPS 35024 710 11 , , , 35024 710 12 and and CC 35024 710 13 Dr. Dr. NNP 35024 710 14 A. A. NNP 35024 710 15 Berroth Berroth NNP 35024 710 16 of of IN 35024 710 17 the the DT 35024 710 18 Geodetic Geodetic NNP 35024 710 19 Institute Institute NNP 35024 710 20 at at IN 35024 710 21 Potsdam Potsdam NNP 35024 710 22 , , , 35024 710 23 have have VBP 35024 710 24 recomputed recompute VBN 35024 710 25 the the DT 35024 710 26 Potsdam Potsdam NNP 35024 710 27 data datum NNS 35024 710 28 by by IN 35024 710 29 different different JJ 35024 710 30 methods method NNS 35024 710 31 of of IN 35024 710 32 adjustment adjustment NN 35024 710 33 and and CC 35024 710 34 concluded conclude VBD 35024 710 35 that that IN 35024 710 36 the the DT 35024 710 37 Potsdam Potsdam NNP 35024 710 38 value value NN 35024 710 39 was be VBD 35024 710 40 too too RB 35024 710 41 high high JJ 35024 710 42 by by IN 35024 710 43 about about RB 35024 710 44 12 12 CD 35024 710 45 parts part NNS 35024 710 46 in in IN 35024 710 47 a a DT 35024 710 48 million million CD 35024 710 49 . . . 35024 711 1 [ [ -LRB- 35024 711 2 106 106 CD 35024 711 3 ] ] -RRB- 35024 711 4 Determination determination NN 35024 711 5 of of IN 35024 711 6 gravity gravity NN 35024 711 7 at at IN 35024 711 8 Leningrad Leningrad NNP 35024 711 9 by by IN 35024 711 10 Russian russian JJ 35024 711 11 scientists scientist NNS 35024 711 12 likewise likewise RB 35024 711 13 has have VBZ 35024 711 14 indicated indicate VBN 35024 711 15 that that IN 35024 711 16 the the DT 35024 711 17 1906 1906 CD 35024 711 18 Potsdam Potsdam NNP 35024 711 19 value value NN 35024 711 20 is be VBZ 35024 711 21 too too RB 35024 711 22 high high JJ 35024 711 23 . . . 35024 712 1 In in IN 35024 712 2 the the DT 35024 712 3 light light NN 35024 712 4 of of IN 35024 712 5 present present JJ 35024 712 6 information information NN 35024 712 7 , , , 35024 712 8 it -PRON- PRP 35024 712 9 appears appear VBZ 35024 712 10 justifiable justifiable JJ 35024 712 11 to to TO 35024 712 12 reduce reduce VB 35024 712 13 the the DT 35024 712 14 Potsdam Potsdam NNP 35024 712 15 value value NN 35024 712 16 of of IN 35024 712 17 981.274 981.274 CD 35024 712 18 by by IN 35024 712 19 .013 .013 CD 35024 712 20 cm cm NNS 35024 712 21 / / SYM 35024 712 22 sec^{2 sec^{2 NN 35024 712 23 } } -RRB- 35024 712 24 for for IN 35024 712 25 purposes purpose NNS 35024 712 26 of of IN 35024 712 27 comparison comparison NN 35024 712 28 . . . 35024 713 1 If if IN 35024 713 2 the the DT 35024 713 3 Brown Brown NNP 35024 713 4 transfer transfer NN 35024 713 5 from from IN 35024 713 6 Potsdam Potsdam NNP 35024 713 7 in in IN 35024 713 8 1933 1933 CD 35024 713 9 was be VBD 35024 713 10 taken take VBN 35024 713 11 as as IN 35024 713 12 accurate accurate JJ 35024 713 13 , , , 35024 713 14 the the DT 35024 713 15 value value NN 35024 713 16 for for IN 35024 713 17 the the DT 35024 713 18 Washington Washington NNP 35024 713 19 base base NN 35024 713 20 would would MD 35024 713 21 be be VB 35024 713 22 980.105 980.105 CD 35024 713 23 cm cm NNS 35024 713 24 / / SYM 35024 713 25 sec^{2 sec^{2 NN 35024 713 26 } } -RRB- 35024 713 27 . . . 35024 714 1 In in IN 35024 714 2 this this DT 35024 714 3 connection connection NN 35024 714 4 , , , 35024 714 5 it -PRON- PRP 35024 714 6 is be VBZ 35024 714 7 of of IN 35024 714 8 interest interest NN 35024 714 9 to to TO 35024 714 10 note note VB 35024 714 11 that that IN 35024 714 12 the the DT 35024 714 13 value value NN 35024 714 14 given give VBN 35024 714 15 by by IN 35024 714 16 Charles Charles NNP 35024 714 17 S. S. NNP 35024 714 18 Peirce Peirce NNP 35024 714 19 for for IN 35024 714 20 the the DT 35024 714 21 comparable comparable JJ 35024 714 22 Smithsonian smithsonian JJ 35024 714 23 base base NN 35024 714 24 in in IN 35024 714 25 Washington Washington NNP 35024 714 26 , , , 35024 714 27 as as IN 35024 714 28 determined determine VBN 35024 714 29 by by IN 35024 714 30 him -PRON- PRP 35024 714 31 from from IN 35024 714 32 comparative comparative JJ 35024 714 33 methods method NNS 35024 714 34 in in IN 35024 714 35 the the DT 35024 714 36 1880 1880 CD 35024 714 37 's 's POS 35024 714 38 and and CC 35024 714 39 reported report VBN 35024 714 40 in in IN 35024 714 41 the the DT 35024 714 42 _ _ NNP 35024 714 43 Annual Annual NNP 35024 714 44 Report Report NNP 35024 714 45 of of IN 35024 714 46 the the DT 35024 714 47 Superintendent Superintendent NNP 35024 714 48 of of IN 35024 714 49 the the DT 35024 714 50 Coast Coast NNP 35024 714 51 and and CC 35024 714 52 Geodetic Geodetic NNP 35024 714 53 Survey Survey NNP 35024 714 54 for for IN 35024 714 55 the the DT 35024 714 56 year year NN 35024 714 57 1890 1890 CD 35024 714 58 - - SYM 35024 714 59 1891 1891 CD 35024 714 60 _ _ NNP 35024 714 61 , , , 35024 714 62 was be VBD 35024 714 63 980.1017 980.1017 NN 35024 714 64 cm cm NNP 35024 714 65 / / SYM 35024 714 66 sec^{2 sec^{2 JJ 35024 714 67 } } -RRB- 35024 714 68 . . . 35024 715 1 [ [ -LRB- 35024 715 2 107 107 CD 35024 715 3 ] ] -RRB- 35024 715 4 This this DT 35024 715 5 value value NN 35024 715 6 would would MD 35024 715 7 appear appear VB 35024 715 8 to to TO 35024 715 9 indicate indicate VB 35024 715 10 that that IN 35024 715 11 Peirce Peirce NNP 35024 715 12 's 's POS 35024 715 13 pendulums pendulum NNS 35024 715 14 , , , 35024 715 15 observations observation NNS 35024 715 16 , , , 35024 715 17 and and CC 35024 715 18 methods method NNS 35024 715 19 of of IN 35024 715 20 reduction reduction NN 35024 715 21 of of IN 35024 715 22 data datum NNS 35024 715 23 were be VBD 35024 715 24 not not RB 35024 715 25 inferior inferior JJ 35024 715 26 to to IN 35024 715 27 those those DT 35024 715 28 of of IN 35024 715 29 the the DT 35024 715 30 scientists scientist NNS 35024 715 31 of of IN 35024 715 32 the the DT 35024 715 33 Royal Royal NNP 35024 715 34 Prussian Prussian NNP 35024 715 35 Geodetic Geodetic NNP 35024 715 36 Institute Institute NNP 35024 715 37 at at IN 35024 715 38 Potsdam Potsdam NNP 35024 715 39 . . . 35024 716 1 Doubts doubt NNS 35024 716 2 concerning concern VBG 35024 716 3 the the DT 35024 716 4 accuracy accuracy NN 35024 716 5 of of IN 35024 716 6 the the DT 35024 716 7 Potsdam Potsdam NNP 35024 716 8 value value NN 35024 716 9 of of IN 35024 716 10 gravity gravity NN 35024 716 11 have have VBP 35024 716 12 stimulated stimulate VBN 35024 716 13 many many JJ 35024 716 14 new new JJ 35024 716 15 determinations determination NNS 35024 716 16 of of IN 35024 716 17 the the DT 35024 716 18 intensity intensity NN 35024 716 19 of of IN 35024 716 20 gravity gravity NN 35024 716 21 since since IN 35024 716 22 the the DT 35024 716 23 end end NN 35024 716 24 of of IN 35024 716 25 World World NNP 35024 716 26 War War NNP 35024 716 27 II II NNP 35024 716 28 . . . 35024 717 1 In in IN 35024 717 2 a a DT 35024 717 3 paper paper NN 35024 717 4 published publish VBN 35024 717 5 in in IN 35024 717 6 June June NNP 35024 717 7 1957 1957 CD 35024 717 8 , , , 35024 717 9 A. a. NN 35024 717 10 H. H. NNP 35024 717 11 Cook Cook NNP 35024 717 12 , , , 35024 717 13 Metrology Metrology NNP 35024 717 14 Division Division NNP 35024 717 15 , , , 35024 717 16 National National NNP 35024 717 17 Physical Physical NNP 35024 717 18 Laboratory Laboratory NNP 35024 717 19 , , , 35024 717 20 Teddington Teddington NNP 35024 717 21 , , , 35024 717 22 England England NNP 35024 717 23 , , , 35024 717 24 stated state VBD 35024 717 25 : : : 35024 717 26 At at IN 35024 717 27 present present NN 35024 717 28 about about IN 35024 717 29 a a DT 35024 717 30 dozen dozen NN 35024 717 31 new new JJ 35024 717 32 absolute absolute JJ 35024 717 33 determinations determination NNS 35024 717 34 are be VBP 35024 717 35 in in IN 35024 717 36 progress progress NN 35024 717 37 or or CC 35024 717 38 are be VBP 35024 717 39 being be VBG 35024 717 40 planned plan VBN 35024 717 41 . . . 35024 718 1 Heyl Heyl NNP 35024 718 2 and and CC 35024 718 3 Cook Cook NNP 35024 718 4 's 's POS 35024 718 5 reversible reversible JJ 35024 718 6 pendulum pendulum NN 35024 718 7 apparatus apparatus NN 35024 718 8 is be VBZ 35024 718 9 in in IN 35024 718 10 use use NN 35024 718 11 in in IN 35024 718 12 Buenos Buenos NNP 35024 718 13 Aires Aires NNP 35024 718 14 and and CC 35024 718 15 further further JJ 35024 718 16 reversible reversible NN 35024 718 17 pendulum pendulum NN 35024 718 18 experiments experiment NNS 35024 718 19 have have VBP 35024 718 20 been be VBN 35024 718 21 made make VBN 35024 718 22 in in IN 35024 718 23 the the DT 35024 718 24 All All NNP 35024 718 25 Union Union NNP 35024 718 26 Scientific Scientific NNP 35024 718 27 Research Research NNP 35024 718 28 Institute Institute NNP 35024 718 29 of of IN 35024 718 30 Metrology Metrology NNP 35024 718 31 , , , 35024 718 32 Leningrad Leningrad NNP 35024 718 33 ( ( -LRB- 35024 718 34 V v NN 35024 718 35 N n CC 35024 718 36 I -PRON- PRP 35024 718 37 I i NN 35024 718 38 M m NN 35024 718 39 ) ) -RRB- 35024 718 40 and and CC 35024 718 41 are be VBP 35024 718 42 planned plan VBN 35024 718 43 at at IN 35024 718 44 Potsdam Potsdam NNP 35024 718 45 . . . 35024 719 1 A a DT 35024 719 2 method method NN 35024 719 3 using use VBG 35024 719 4 a a DT 35024 719 5 very very RB 35024 719 6 long long JJ 35024 719 7 pendulum pendulum NN 35024 719 8 was be VBD 35024 719 9 tried try VBN 35024 719 10 out out RP 35024 719 11 in in IN 35024 719 12 Russia Russia NNP 35024 719 13 about about IN 35024 719 14 1910 1910 CD 35024 719 15 and and CC 35024 719 16 again again RB 35024 719 17 more more RBR 35024 719 18 recently recently RB 35024 719 19 and and CC 35024 719 20 there there EX 35024 719 21 are be VBP 35024 719 22 plans plan NNS 35024 719 23 for for IN 35024 719 24 similar similar JJ 35024 719 25 work work NN 35024 719 26 in in IN 35024 719 27 Finland Finland NNP 35024 719 28 . . . 35024 720 1 The the DT 35024 720 2 first first JJ 35024 720 3 experiment experiment NN 35024 720 4 with with IN 35024 720 5 a a DT 35024 720 6 freely freely RB 35024 720 7 falling fall VBG 35024 720 8 body body NN 35024 720 9 was be VBD 35024 720 10 that that DT 35024 720 11 carried carry VBN 35024 720 12 out out RP 35024 720 13 by by IN 35024 720 14 Volet Volet NNP 35024 720 15 who who WP 35024 720 16 photographed photograph VBD 35024 720 17 a a DT 35024 720 18 graduated graduate VBN 35024 720 19 scale scale NN 35024 720 20 falling fall VBG 35024 720 21 in in IN 35024 720 22 an an DT 35024 720 23 enclosure enclosure NN 35024 720 24 at at IN 35024 720 25 low low JJ 35024 720 26 air air NN 35024 720 27 pressure pressure NN 35024 720 28 . . . 35024 721 1 Similar similar JJ 35024 721 2 experiments experiment NNS 35024 721 3 have have VBP 35024 721 4 been be VBN 35024 721 5 completed complete VBN 35024 721 6 in in IN 35024 721 7 Leningrad Leningrad NNP 35024 721 8 and and CC 35024 721 9 are be VBP 35024 721 10 in in IN 35024 721 11 progress progress NN 35024 721 12 at at IN 35024 721 13 the the DT 35024 721 14 Physikalisch Physikalisch NNP 35024 721 15 - - HYPH 35024 721 16 Technische Technische NNP 35024 721 17 Bundesanstalt Bundesanstalt NNP 35024 721 18 ( ( -LRB- 35024 721 19 Brunswick Brunswick NNP 35024 721 20 ) ) -RRB- 35024 721 21 and and CC 35024 721 22 at at IN 35024 721 23 the the DT 35024 721 24 National National NNP 35024 721 25 Research Research NNP 35024 721 26 Council Council NNP 35024 721 27 ( ( -LRB- 35024 721 28 Ottawa Ottawa NNP 35024 721 29 ) ) -RRB- 35024 721 30 , , , 35024 721 31 and and CC 35024 721 32 analogous analogous JJ 35024 721 33 experiments experiment NNS 35024 721 34 are be VBP 35024 721 35 being be VBG 35024 721 36 prepared prepare VBN 35024 721 37 at at IN 35024 721 38 the the DT 35024 721 39 National National NNP 35024 721 40 Physical Physical NNP 35024 721 41 Laboratory Laboratory NNP 35024 721 42 and and CC 35024 721 43 at at IN 35024 721 44 the the DT 35024 721 45 National National NNP 35024 721 46 Bureau Bureau NNP 35024 721 47 of of IN 35024 721 48 Standards Standards NNPS 35024 721 49 . . . 35024 722 1 Finally finally RB 35024 722 2 , , , 35024 722 3 Professor Professor NNP 35024 722 4 Medi Medi NNP 35024 722 5 , , , 35024 722 6 Director Director NNP 35024 722 7 of of IN 35024 722 8 the the DT 35024 722 9 Istituto Istituto NNP 35024 722 10 Nazionale Nazionale NNP 35024 722 11 di di FW 35024 722 12 Geofisica Geofisica NNP 35024 722 13 ( ( -LRB- 35024 722 14 Rome Rome NNP 35024 722 15 ) ) -RRB- 35024 722 16 , , , 35024 722 17 is be VBZ 35024 722 18 attempting attempt VBG 35024 722 19 to to TO 35024 722 20 measure measure VB 35024 722 21 the the DT 35024 722 22 focal focal JJ 35024 722 23 length length NN 35024 722 24 of of IN 35024 722 25 the the DT 35024 722 26 paraboloidal paraboloidal JJ 35024 722 27 surface surface NN 35024 722 28 of of IN 35024 722 29 a a DT 35024 722 30 liquid liquid NN 35024 722 31 in in IN 35024 722 32 a a DT 35024 722 33 rotating rotating NN 35024 722 34 dish dish NN 35024 722 35 . . . 35024 723 1 [ [ -LRB- 35024 723 2 108 108 CD 35024 723 3 ] ] -RRB- 35024 723 4 Application application NN 35024 723 5 of of IN 35024 723 6 Gravity Gravity NNP 35024 723 7 Surveys Surveys NNP 35024 723 8 We -PRON- PRP 35024 723 9 have have VBP 35024 723 10 noted note VBN 35024 723 11 previously previously RB 35024 723 12 that that IN 35024 723 13 in in IN 35024 723 14 the the DT 35024 723 15 ancient ancient JJ 35024 723 16 and and CC 35024 723 17 early early JJ 35024 723 18 modern modern JJ 35024 723 19 periods period NNS 35024 723 20 , , , 35024 723 21 the the DT 35024 723 22 earth earth NN 35024 723 23 was be VBD 35024 723 24 presupposed presuppose VBN 35024 723 25 to to TO 35024 723 26 be be VB 35024 723 27 spherical spherical JJ 35024 723 28 in in IN 35024 723 29 form form NN 35024 723 30 . . . 35024 724 1 Determination determination NN 35024 724 2 of of IN 35024 724 3 the the DT 35024 724 4 figure figure NN 35024 724 5 of of IN 35024 724 6 the the DT 35024 724 7 earth earth NN 35024 724 8 consisted consist VBD 35024 724 9 in in IN 35024 724 10 the the DT 35024 724 11 measurement measurement NN 35024 724 12 of of IN 35024 724 13 the the DT 35024 724 14 radius radius NN 35024 724 15 by by IN 35024 724 16 the the DT 35024 724 17 astronomical astronomical JJ 35024 724 18 - - HYPH 35024 724 19 geodetic geodetic JJ 35024 724 20 method method NN 35024 724 21 invented invent VBN 35024 724 22 by by IN 35024 724 23 Eratosthenes eratosthene NNS 35024 724 24 . . . 35024 725 1 Since since IN 35024 725 2 the the DT 35024 725 3 earth earth NN 35024 725 4 was be VBD 35024 725 5 assumed assume VBN 35024 725 6 to to TO 35024 725 7 be be VB 35024 725 8 spherical spherical JJ 35024 725 9 , , , 35024 725 10 gravity gravity NN 35024 725 11 was be VBD 35024 725 12 inferred infer VBN 35024 725 13 to to TO 35024 725 14 be be VB 35024 725 15 constant constant JJ 35024 725 16 over over IN 35024 725 17 the the DT 35024 725 18 surface surface NN 35024 725 19 of of IN 35024 725 20 the the DT 35024 725 21 earth earth NN 35024 725 22 . . . 35024 726 1 This this DT 35024 726 2 conclusion conclusion NN 35024 726 3 appeared appear VBD 35024 726 4 to to TO 35024 726 5 be be VB 35024 726 6 confirmed confirm VBN 35024 726 7 by by IN 35024 726 8 the the DT 35024 726 9 determination determination NN 35024 726 10 of of IN 35024 726 11 the the DT 35024 726 12 length length NN 35024 726 13 of of IN 35024 726 14 the the DT 35024 726 15 seconds second NNS 35024 726 16 pendulum pendulum NN 35024 726 17 at at IN 35024 726 18 various various JJ 35024 726 19 stations station NNS 35024 726 20 in in IN 35024 726 21 Europe Europe NNP 35024 726 22 by by IN 35024 726 23 Picard Picard NNP 35024 726 24 and and CC 35024 726 25 others other NNS 35024 726 26 . . . 35024 727 1 The the DT 35024 727 2 observations observation NNS 35024 727 3 of of IN 35024 727 4 Richer Richer NNP 35024 727 5 in in IN 35024 727 6 South South NNP 35024 727 7 America America NNP 35024 727 8 , , , 35024 727 9 the the DT 35024 727 10 theoretical theoretical JJ 35024 727 11 discussions discussion NNS 35024 727 12 of of IN 35024 727 13 Newton Newton NNP 35024 727 14 and and CC 35024 727 15 Huygens Huygens NNP 35024 727 16 , , , 35024 727 17 and and CC 35024 727 18 the the DT 35024 727 19 measurements measurement NNS 35024 727 20 of of IN 35024 727 21 degrees degree NNS 35024 727 22 of of IN 35024 727 23 latitude latitude NN 35024 727 24 in in IN 35024 727 25 Peru Peru NNP 35024 727 26 and and CC 35024 727 27 Sweden Sweden NNP 35024 727 28 demonstrated demonstrate VBD 35024 727 29 that that IN 35024 727 30 the the DT 35024 727 31 earth earth NN 35024 727 32 is be VBZ 35024 727 33 an an DT 35024 727 34 oblate oblate JJ 35024 727 35 spheroid spheroid NN 35024 727 36 . . . 35024 728 1 [ [ -LRB- 35024 728 2 Illustration illustration NN 35024 728 3 : : : 35024 728 4 Figure figure NN 35024 728 5 33.--GRAVITY 33.--gravity CD 35024 728 6 CHARACTERISTICS characteristics NN 35024 728 7 OF of IN 35024 728 8 THE the DT 35024 728 9 GLOBE GLOBE NNP 35024 728 10 . . . 35024 729 1 Deductions deduction NNS 35024 729 2 as as IN 35024 729 3 to to IN 35024 729 4 the the DT 35024 729 5 distribution distribution NN 35024 729 6 of of IN 35024 729 7 matter matter NN 35024 729 8 in in IN 35024 729 9 the the DT 35024 729 10 earth earth NN 35024 729 11 can can MD 35024 729 12 be be VB 35024 729 13 made make VBN 35024 729 14 from from IN 35024 729 15 gravity gravity NN 35024 729 16 measurements measurement NNS 35024 729 17 . . . 35024 730 1 This this DT 35024 730 2 globe globe NN 35024 730 3 shows show VBZ 35024 730 4 worldwide worldwide JJ 35024 730 5 variations variation NNS 35024 730 6 in in IN 35024 730 7 gravity gravity NN 35024 730 8 as as IN 35024 730 9 they -PRON- PRP 35024 730 10 now now RB 35024 730 11 appear appear VBP 35024 730 12 from from IN 35024 730 13 observations observation NNS 35024 730 14 at at IN 35024 730 15 sea sea NN 35024 730 16 ( ( -LRB- 35024 730 17 in in IN 35024 730 18 submarines submarine NNS 35024 730 19 ) ) -RRB- 35024 730 20 as as RB 35024 730 21 well well RB 35024 730 22 as as IN 35024 730 23 on on IN 35024 730 24 land land NN 35024 730 25 . . . 35024 731 1 It -PRON- PRP 35024 731 2 is be VBZ 35024 731 3 based base VBN 35024 731 4 on on IN 35024 731 5 data datum NNS 35024 731 6 from from IN 35024 731 7 the the DT 35024 731 8 Institute Institute NNP 35024 731 9 of of IN 35024 731 10 Geodesy Geodesy NNP 35024 731 11 at at IN 35024 731 12 Ohio Ohio NNP 35024 731 13 State State NNP 35024 731 14 University University NNP 35024 731 15 . . . 35024 731 16 ] ] -RRB- 35024 732 1 The the DT 35024 732 2 theory theory NN 35024 732 3 of of IN 35024 732 4 gravitation gravitation NN 35024 732 5 and and CC 35024 732 6 the the DT 35024 732 7 theory theory NN 35024 732 8 of of IN 35024 732 9 central central JJ 35024 732 10 forces force NNS 35024 732 11 led lead VBD 35024 732 12 to to IN 35024 732 13 the the DT 35024 732 14 result result NN 35024 732 15 that that IN 35024 732 16 the the DT 35024 732 17 intensity intensity NN 35024 732 18 of of IN 35024 732 19 gravity gravity NN 35024 732 20 is be VBZ 35024 732 21 variable variable JJ 35024 732 22 over over IN 35024 732 23 the the DT 35024 732 24 surface surface NN 35024 732 25 of of IN 35024 732 26 the the DT 35024 732 27 earth earth NN 35024 732 28 . . . 35024 733 1 Accordingly accordingly RB 35024 733 2 , , , 35024 733 3 determinations determination NNS 35024 733 4 of of IN 35024 733 5 the the DT 35024 733 6 intensity intensity NN 35024 733 7 of of IN 35024 733 8 gravity gravity NN 35024 733 9 became become VBD 35024 733 10 of of IN 35024 733 11 value value NN 35024 733 12 to to IN 35024 733 13 the the DT 35024 733 14 geodesist geodesist NN 35024 733 15 as as IN 35024 733 16 a a DT 35024 733 17 means means NN 35024 733 18 of of IN 35024 733 19 determining determine VBG 35024 733 20 the the DT 35024 733 21 figure figure NN 35024 733 22 of of IN 35024 733 23 the the DT 35024 733 24 earth earth NN 35024 733 25 . . . 35024 734 1 Newton Newton NNP 35024 734 2 , , , 35024 734 3 on on IN 35024 734 4 the the DT 35024 734 5 basis basis NN 35024 734 6 of of IN 35024 734 7 the the DT 35024 734 8 meager meager NNP 35024 734 9 data datum NNS 35024 734 10 available available JJ 35024 734 11 to to IN 35024 734 12 him -PRON- PRP 35024 734 13 , , , 35024 734 14 calculated calculate VBD 35024 734 15 the the DT 35024 734 16 ellipticity ellipticity NN 35024 734 17 of of IN 35024 734 18 the the DT 35024 734 19 earth earth NN 35024 734 20 to to TO 35024 734 21 be be VB 35024 734 22 1/230 1/230 CD 35024 734 23 ( ( -LRB- 35024 734 24 the the DT 35024 734 25 ellipticity ellipticity NN 35024 734 26 is be VBZ 35024 734 27 defined define VBN 35024 734 28 by by IN 35024 734 29 ( ( -LRB- 35024 734 30 a a DT 35024 734 31 - - HYPH 35024 734 32 b)/a b)/a NNP 35024 734 33 , , , 35024 734 34 where where WRB 35024 734 35 a a DT 35024 734 36 is be VBZ 35024 734 37 the the DT 35024 734 38 equatorial equatorial JJ 35024 734 39 radius radius NN 35024 734 40 and and CC 35024 734 41 b b NNP 35024 734 42 the the DT 35024 734 43 polar polar JJ 35024 734 44 radius radius NN 35024 734 45 ) ) -RRB- 35024 734 46 . . . 35024 735 1 Observations observation NNS 35024 735 2 of of IN 35024 735 3 the the DT 35024 735 4 intensity intensity NN 35024 735 5 of of IN 35024 735 6 gravity gravity NN 35024 735 7 were be VBD 35024 735 8 made make VBN 35024 735 9 on on IN 35024 735 10 the the DT 35024 735 11 historic historic JJ 35024 735 12 missions mission NNS 35024 735 13 to to IN 35024 735 14 Peru Peru NNP 35024 735 15 and and CC 35024 735 16 Sweden Sweden NNP 35024 735 17 . . . 35024 736 1 Bouguer Bouguer NNP 35024 736 2 and and CC 35024 736 3 La La NNP 35024 736 4 Condamine Condamine NNP 35024 736 5 found find VBD 35024 736 6 that that IN 35024 736 7 at at IN 35024 736 8 the the DT 35024 736 9 equator equator NN 35024 736 10 at at IN 35024 736 11 sea sea NN 35024 736 12 level level NN 35024 736 13 the the DT 35024 736 14 seconds second NNS 35024 736 15 pendulum pendulum NN 35024 736 16 was be VBD 35024 736 17 1.26 1.26 CD 35024 736 18 Paris Paris NNP 35024 736 19 - - HYPH 35024 736 20 lines line NNS 35024 736 21 shorter shorter RBR 35024 736 22 than than IN 35024 736 23 at at IN 35024 736 24 Paris Paris NNP 35024 736 25 . . . 35024 737 1 Maupertuis Maupertuis NNP 35024 737 2 found find VBD 35024 737 3 that that IN 35024 737 4 in in IN 35024 737 5 northern northern JJ 35024 737 6 Sweden Sweden NNP 35024 737 7 a a DT 35024 737 8 certain certain JJ 35024 737 9 pendulum pendulum NN 35024 737 10 clock clock NN 35024 737 11 gained gain VBD 35024 737 12 59.1 59.1 CD 35024 737 13 seconds second NNS 35024 737 14 per per IN 35024 737 15 day day NN 35024 737 16 on on IN 35024 737 17 its -PRON- PRP$ 35024 737 18 rate rate NN 35024 737 19 in in IN 35024 737 20 Paris Paris NNP 35024 737 21 . . . 35024 738 1 Then then RB 35024 738 2 Clairaut Clairaut NNP 35024 738 3 , , , 35024 738 4 from from IN 35024 738 5 the the DT 35024 738 6 assumption assumption NN 35024 738 7 that that IN 35024 738 8 the the DT 35024 738 9 earth earth NN 35024 738 10 is be VBZ 35024 738 11 a a DT 35024 738 12 spheroid spheroid NN 35024 738 13 of of IN 35024 738 14 equilibrium equilibrium NN 35024 738 15 , , , 35024 738 16 derived derive VBD 35024 738 17 a a DT 35024 738 18 theorem theorem NN 35024 738 19 from from IN 35024 738 20 which which WDT 35024 738 21 the the DT 35024 738 22 ellipticity ellipticity NN 35024 738 23 of of IN 35024 738 24 the the DT 35024 738 25 earth earth NN 35024 738 26 can can MD 35024 738 27 be be VB 35024 738 28 derived derive VBN 35024 738 29 from from IN 35024 738 30 values value NNS 35024 738 31 of of IN 35024 738 32 the the DT 35024 738 33 intensity intensity NN 35024 738 34 of of IN 35024 738 35 gravity gravity NN 35024 738 36 . . . 35024 739 1 [ [ -LRB- 35024 739 2 Illustration illustration NN 35024 739 3 : : : 35024 739 4 Figure figure VB 35024 739 5 34.--AN 34.--an CD 35024 739 6 EXHIBIT exhibit NN 35024 739 7 OF of IN 35024 739 8 GRAVITY GRAVITY NNP 35024 739 9 APPARATUS APPARATUS NNP 35024 739 10 at at IN 35024 739 11 the the DT 35024 739 12 Smithsonian Smithsonian NNP 35024 739 13 Institution Institution NNP 35024 739 14 . . . 35024 740 1 Suspended suspend VBN 35024 740 2 on on IN 35024 740 3 the the DT 35024 740 4 wall wall NN 35024 740 5 , , , 35024 740 6 from from IN 35024 740 7 left leave VBN 35024 740 8 to to IN 35024 740 9 right right NN 35024 740 10 , , , 35024 740 11 are be VBP 35024 740 12 the the DT 35024 740 13 invariable invariable JJ 35024 740 14 pendulums pendulum NNS 35024 740 15 of of IN 35024 740 16 Mendenhall Mendenhall NNP 35024 740 17 ( ( -LRB- 35024 740 18 1/2-second 1/2-second CD 35024 740 19 ) ) -RRB- 35024 740 20 , , , 35024 740 21 Peirce Peirce NNP 35024 740 22 ( ( -LRB- 35024 740 23 1873 1873 CD 35024 740 24 - - SYM 35024 740 25 1874 1874 CD 35024 740 26 ) ) -RRB- 35024 740 27 , , , 35024 740 28 and and CC 35024 740 29 Peirce Peirce NNP 35024 740 30 ( ( -LRB- 35024 740 31 1881 1881 CD 35024 740 32 - - SYM 35024 740 33 1882 1882 CD 35024 740 34 ) ) -RRB- 35024 740 35 ; ; : 35024 740 36 the the DT 35024 740 37 double double JJ 35024 740 38 pendulum pendulum NN 35024 740 39 of of IN 35024 740 40 Edward Edward NNP 35024 740 41 Kübel Kübel NNP 35024 740 42 ( ( -LRB- 35024 740 43 see see UH 35024 740 44 fig fig NN 35024 740 45 . . . 35024 741 1 15 15 CD 35024 741 2 , , , 35024 741 3 p. p. NN 35024 741 4 319 319 CD 35024 741 5 ) ) -RRB- 35024 741 6 , , , 35024 741 7 and and CC 35024 741 8 the the DT 35024 741 9 reversible reversible JJ 35024 741 10 pendulum pendulum NN 35024 741 11 of of IN 35024 741 12 Peirce Peirce NNP 35024 741 13 . . . 35024 742 1 On on IN 35024 742 2 the the DT 35024 742 3 display display NN 35024 742 4 counter counter NN 35024 742 5 , , , 35024 742 6 from from IN 35024 742 7 left leave VBN 35024 742 8 to to IN 35024 742 9 right right NN 35024 742 10 , , , 35024 742 11 are be VBP 35024 742 12 the the DT 35024 742 13 vacuum vacuum NN 35024 742 14 chamber chamber NN 35024 742 15 , , , 35024 742 16 telescope telescope NN 35024 742 17 and and CC 35024 742 18 flash flash NN 35024 742 19 apparatus apparatus NN 35024 742 20 for for IN 35024 742 21 the the DT 35024 742 22 Mendenhall Mendenhall NNP 35024 742 23 1/4-second 1/4-second CD 35024 742 24 apparatus apparatus NN 35024 742 25 . . . 35024 743 1 Shown show VBN 35024 743 2 below below IN 35024 743 3 these these DT 35024 743 4 are be VBP 35024 743 5 the the DT 35024 743 6 four four CD 35024 743 7 pendulums pendulum NNS 35024 743 8 used use VBN 35024 743 9 with with IN 35024 743 10 the the DT 35024 743 11 Mendenhall Mendenhall NNP 35024 743 12 apparatus apparatus NN 35024 743 13 , , , 35024 743 14 the the DT 35024 743 15 one one NN 35024 743 16 on on IN 35024 743 17 the the DT 35024 743 18 right right NN 35024 743 19 having have VBG 35024 743 20 a a DT 35024 743 21 thermometer thermometer NN 35024 743 22 attached attach VBN 35024 743 23 . . . 35024 744 1 At at IN 35024 744 2 bottom bottom NN 35024 744 3 , , , 35024 744 4 right right UH 35024 744 5 , , , 35024 744 6 is be VBZ 35024 744 7 the the DT 35024 744 8 Gulf Gulf NNP 35024 744 9 apparatus apparatus NN 35024 744 10 ( ( -LRB- 35024 744 11 cover cover NN 35024 744 12 removed remove VBN 35024 744 13 ) ) -RRB- 35024 744 14 mentioned mention VBN 35024 744 15 in in IN 35024 744 16 the the DT 35024 744 17 text text NN 35024 744 18 , , , 35024 744 19 shown show VBN 35024 744 20 with with IN 35024 744 21 one one CD 35024 744 22 quartz quartz NN 35024 744 23 pendulum pendulum NN 35024 744 24 . . . 35024 744 25 ] ] -RRB- 35024 745 1 Early early RB 35024 745 2 in in IN 35024 745 3 the the DT 35024 745 4 19th 19th JJ 35024 745 5 century century NN 35024 745 6 a a DT 35024 745 7 systematic systematic JJ 35024 745 8 series series NN 35024 745 9 of of IN 35024 745 10 observations observation NNS 35024 745 11 began begin VBD 35024 745 12 to to TO 35024 745 13 be be VB 35024 745 14 conducted conduct VBN 35024 745 15 in in IN 35024 745 16 order order NN 35024 745 17 to to TO 35024 745 18 determine determine VB 35024 745 19 the the DT 35024 745 20 intensity intensity NN 35024 745 21 of of IN 35024 745 22 gravity gravity NN 35024 745 23 at at IN 35024 745 24 stations station NNS 35024 745 25 all all RB 35024 745 26 over over IN 35024 745 27 the the DT 35024 745 28 world world NN 35024 745 29 . . . 35024 746 1 Kater Kater NNP 35024 746 2 invariable invariable JJ 35024 746 3 pendulums pendulum NNS 35024 746 4 , , , 35024 746 5 of of IN 35024 746 6 which which WDT 35024 746 7 13 13 CD 35024 746 8 examples example NNS 35024 746 9 have have VBP 35024 746 10 been be VBN 35024 746 11 mentioned mention VBN 35024 746 12 in in IN 35024 746 13 the the DT 35024 746 14 literature literature NN 35024 746 15 , , , 35024 746 16 were be VBD 35024 746 17 used use VBN 35024 746 18 in in IN 35024 746 19 surveys survey NNS 35024 746 20 of of IN 35024 746 21 gravity gravity NN 35024 746 22 by by IN 35024 746 23 Kater Kater NNP 35024 746 24 , , , 35024 746 25 Sabine Sabine NNP 35024 746 26 , , , 35024 746 27 Goldingham Goldingham NNP 35024 746 28 , , , 35024 746 29 and and CC 35024 746 30 other other JJ 35024 746 31 British british JJ 35024 746 32 pendulum pendulum NN 35024 746 33 swingers swinger NNS 35024 746 34 . . . 35024 747 1 As as IN 35024 747 2 has have VBZ 35024 747 3 been be VBN 35024 747 4 noted note VBN 35024 747 5 previously previously RB 35024 747 6 , , , 35024 747 7 a a DT 35024 747 8 Kater Kater NNP 35024 747 9 invariable invariable JJ 35024 747 10 pendulum pendulum NN 35024 747 11 was be VBD 35024 747 12 used use VBN 35024 747 13 by by IN 35024 747 14 Adm. Adm. NNP 35024 747 15 Lütke Lütke NNP 35024 747 16 of of IN 35024 747 17 Russia Russia NNP 35024 747 18 on on IN 35024 747 19 a a DT 35024 747 20 trip trip NN 35024 747 21 around around IN 35024 747 22 the the DT 35024 747 23 world world NN 35024 747 24 . . . 35024 748 1 The the DT 35024 748 2 French French NNP 35024 748 3 also also RB 35024 748 4 sent send VBD 35024 748 5 out out RP 35024 748 6 expeditions expedition NNS 35024 748 7 to to TO 35024 748 8 determine determine VB 35024 748 9 values value NNS 35024 748 10 of of IN 35024 748 11 gravity gravity NN 35024 748 12 . . . 35024 749 1 After after IN 35024 749 2 several several JJ 35024 749 3 decades decade NNS 35024 749 4 of of IN 35024 749 5 relative relative JJ 35024 749 6 inactivity inactivity NN 35024 749 7 , , , 35024 749 8 Capts Capts NNP 35024 749 9 . . . 35024 750 1 Basevi Basevi NNP 35024 750 2 and and CC 35024 750 3 Heaviside Heaviside NNP 35024 750 4 of of IN 35024 750 5 the the DT 35024 750 6 Indian Indian NNP 35024 750 7 Survey Survey NNP 35024 750 8 carried carry VBD 35024 750 9 out out RP 35024 750 10 an an DT 35024 750 11 important important JJ 35024 750 12 series series NN 35024 750 13 of of IN 35024 750 14 observations observation NNS 35024 750 15 from from IN 35024 750 16 1865 1865 CD 35024 750 17 to to IN 35024 750 18 1873 1873 CD 35024 750 19 with with IN 35024 750 20 Kater Kater NNP 35024 750 21 invariable invariable JJ 35024 750 22 pendulums pendulum NNS 35024 750 23 and and CC 35024 750 24 the the DT 35024 750 25 Russian Russian NNP 35024 750 26 Repsold Repsold NNP 35024 750 27 - - HYPH 35024 750 28 Bessel Bessel NNP 35024 750 29 pendulums pendulum NNS 35024 750 30 . . . 35024 751 1 In in IN 35024 751 2 1881 1881 CD 35024 751 3 - - SYM 35024 751 4 1882 1882 CD 35024 751 5 Maj Maj NNP 35024 751 6 . . NNP 35024 751 7 J. J. NNP 35024 751 8 Herschel Herschel NNP 35024 751 9 swung swing VBD 35024 751 10 Kater Kater NNP 35024 751 11 invariable invariable JJ 35024 751 12 pendulums pendulum VBZ 35024 751 13 nos nos RB 35024 751 14 . . . 35024 752 1 4 4 CD 35024 752 2 , , , 35024 752 3 6 6 CD 35024 752 4 ( ( -LRB- 35024 752 5 1821 1821 CD 35024 752 6 ) ) -RRB- 35024 752 7 , , , 35024 752 8 and and CC 35024 752 9 11 11 CD 35024 752 10 at at IN 35024 752 11 stations station NNS 35024 752 12 in in IN 35024 752 13 England England NNP 35024 752 14 and and CC 35024 752 15 then then RB 35024 752 16 brought bring VBD 35024 752 17 them -PRON- PRP 35024 752 18 to to IN 35024 752 19 the the DT 35024 752 20 United United NNP 35024 752 21 States States NNP 35024 752 22 in in IN 35024 752 23 order order NN 35024 752 24 to to TO 35024 752 25 make make VB 35024 752 26 observations observation NNS 35024 752 27 which which WDT 35024 752 28 would would MD 35024 752 29 connect connect VB 35024 752 30 American american JJ 35024 752 31 and and CC 35024 752 32 English english JJ 35024 752 33 base base NN 35024 752 34 stations station NNS 35024 752 35 . . . 35024 753 1 [ [ -LRB- 35024 753 2 109 109 CD 35024 753 3 ] ] -RRB- 35024 753 4 The the DT 35024 753 5 extensive extensive JJ 35024 753 6 sets set NNS 35024 753 7 of of IN 35024 753 8 observations observation NNS 35024 753 9 of of IN 35024 753 10 gravity gravity NN 35024 753 11 provided provide VBD 35024 753 12 the the DT 35024 753 13 basis basis NN 35024 753 14 of of IN 35024 753 15 calculations calculation NNS 35024 753 16 of of IN 35024 753 17 the the DT 35024 753 18 ellipticity ellipticity NN 35024 753 19 of of IN 35024 753 20 the the DT 35024 753 21 earth earth NN 35024 753 22 . . . 35024 754 1 Col Col NNP 35024 754 2 . . NNP 35024 754 3 A. A. NNP 35024 754 4 R. R. NNP 35024 754 5 Clarke Clarke NNP 35024 754 6 in in IN 35024 754 7 his -PRON- PRP$ 35024 754 8 _ _ NNP 35024 754 9 Geodesy Geodesy NNP 35024 754 10 _ _ NNP 35024 754 11 ( ( -LRB- 35024 754 12 London London NNP 35024 754 13 , , , 35024 754 14 1880 1880 CD 35024 754 15 ) ) -RRB- 35024 754 16 calculated calculate VBD 35024 754 17 the the DT 35024 754 18 ellipticity ellipticity NN 35024 754 19 from from IN 35024 754 20 the the DT 35024 754 21 results result NNS 35024 754 22 of of IN 35024 754 23 gravity gravity NN 35024 754 24 surveys survey NNS 35024 754 25 to to TO 35024 754 26 be be VB 35024 754 27 1/(292.2 1/(292.2 CD 35024 754 28 ± ± CD 35024 754 29 1.5 1.5 CD 35024 754 30 ) ) -RRB- 35024 754 31 . . . 35024 755 1 Of of IN 35024 755 2 interest interest NN 35024 755 3 is be VBZ 35024 755 4 the the DT 35024 755 5 calculation calculation NN 35024 755 6 by by IN 35024 755 7 Charles Charles NNP 35024 755 8 S. S. NNP 35024 755 9 Peirce Peirce NNP 35024 755 10 , , , 35024 755 11 who who WP 35024 755 12 used use VBD 35024 755 13 only only RB 35024 755 14 determinations determination NNS 35024 755 15 made make VBN 35024 755 16 with with IN 35024 755 17 Kater Kater NNP 35024 755 18 invariable invariable JJ 35024 755 19 pendulums pendulum NNS 35024 755 20 and and CC 35024 755 21 corrected correct VBN 35024 755 22 for for IN 35024 755 23 elevation elevation NN 35024 755 24 , , , 35024 755 25 atmospheric atmospheric JJ 35024 755 26 effect effect NN 35024 755 27 , , , 35024 755 28 and and CC 35024 755 29 expansion expansion NN 35024 755 30 of of IN 35024 755 31 the the DT 35024 755 32 pendulum pendulum NN 35024 755 33 through through IN 35024 755 34 temperature temperature NN 35024 755 35 . . . 35024 756 1 [ [ -LRB- 35024 756 2 110 110 CD 35024 756 3 ] ] -RRB- 35024 756 4 He -PRON- PRP 35024 756 5 calculated calculate VBD 35024 756 6 the the DT 35024 756 7 ellipticity ellipticity NN 35024 756 8 of of IN 35024 756 9 the the DT 35024 756 10 earth earth NN 35024 756 11 to to TO 35024 756 12 be be VB 35024 756 13 1/(291.5 1/(291.5 CD 35024 756 14 ± ± CD 35024 756 15 0.9 0.9 CD 35024 756 16 ) ) -RRB- 35024 756 17 . . . 35024 757 1 The the DT 35024 757 2 19th 19th JJ 35024 757 3 century century NN 35024 757 4 witnessed witness VBD 35024 757 5 the the DT 35024 757 6 culmination culmination NN 35024 757 7 of of IN 35024 757 8 the the DT 35024 757 9 ellipsoidal ellipsoidal JJ 35024 757 10 era era NN 35024 757 11 of of IN 35024 757 12 geodesy geodesy NN 35024 757 13 , , , 35024 757 14 but but CC 35024 757 15 the the DT 35024 757 16 rapid rapid JJ 35024 757 17 accumulation accumulation NN 35024 757 18 of of IN 35024 757 19 data datum NNS 35024 757 20 made make VBD 35024 757 21 possible possible JJ 35024 757 22 a a DT 35024 757 23 better well JJR 35024 757 24 approximation approximation NN 35024 757 25 to to IN 35024 757 26 the the DT 35024 757 27 figure figure NN 35024 757 28 of of IN 35024 757 29 the the DT 35024 757 30 earth earth NN 35024 757 31 by by IN 35024 757 32 the the DT 35024 757 33 geoid geoid NN 35024 757 34 . . . 35024 758 1 The the DT 35024 758 2 geoid geoid NN 35024 758 3 is be VBZ 35024 758 4 defined define VBN 35024 758 5 as as IN 35024 758 6 the the DT 35024 758 7 average average JJ 35024 758 8 level level NN 35024 758 9 of of IN 35024 758 10 the the DT 35024 758 11 sea sea NN 35024 758 12 , , , 35024 758 13 which which WDT 35024 758 14 is be VBZ 35024 758 15 thought think VBN 35024 758 16 of of IN 35024 758 17 as as IN 35024 758 18 extended extend VBN 35024 758 19 through through IN 35024 758 20 the the DT 35024 758 21 continents continent NNS 35024 758 22 . . . 35024 759 1 The the DT 35024 759 2 basis basis NN 35024 759 3 of of IN 35024 759 4 geodetic geodetic JJ 35024 759 5 calculations calculation NNS 35024 759 6 , , , 35024 759 7 however however RB 35024 759 8 , , , 35024 759 9 is be VBZ 35024 759 10 an an DT 35024 759 11 ellipsoid ellipsoid NN 35024 759 12 of of IN 35024 759 13 reference reference NN 35024 759 14 for for IN 35024 759 15 which which WDT 35024 759 16 a a DT 35024 759 17 gravity gravity NN 35024 759 18 formula formula NN 35024 759 19 expresses express VBZ 35024 759 20 the the DT 35024 759 21 value value NN 35024 759 22 of of IN 35024 759 23 normal normal JJ 35024 759 24 gravity gravity NN 35024 759 25 at at IN 35024 759 26 a a DT 35024 759 27 point point NN 35024 759 28 on on IN 35024 759 29 the the DT 35024 759 30 ellipsoid ellipsoid NN 35024 759 31 as as IN 35024 759 32 a a DT 35024 759 33 function function NN 35024 759 34 of of IN 35024 759 35 gravity gravity NN 35024 759 36 at at IN 35024 759 37 sea sea NN 35024 759 38 level level NN 35024 759 39 at at IN 35024 759 40 the the DT 35024 759 41 equator equator NN 35024 759 42 , , , 35024 759 43 and and CC 35024 759 44 of of IN 35024 759 45 latitude latitude NN 35024 759 46 . . . 35024 760 1 The the DT 35024 760 2 general general JJ 35024 760 3 assembly assembly NN 35024 760 4 of of IN 35024 760 5 the the DT 35024 760 6 International International NNP 35024 760 7 Union Union NNP 35024 760 8 of of IN 35024 760 9 Geodesy Geodesy NNP 35024 760 10 and and CC 35024 760 11 Geophysics Geophysics NNP 35024 760 12 , , , 35024 760 13 which which WDT 35024 760 14 was be VBD 35024 760 15 founded found VBN 35024 760 16 after after IN 35024 760 17 World World NNP 35024 760 18 War War NNP 35024 760 19 I -PRON- PRP 35024 760 20 to to TO 35024 760 21 continue continue VB 35024 760 22 the the DT 35024 760 23 work work NN 35024 760 24 of of IN 35024 760 25 _ _ NNP 35024 760 26 Die Die NNP 35024 760 27 Internationale Internationale NNP 35024 760 28 Erdmessung Erdmessung NNP 35024 760 29 _ _ NNP 35024 760 30 , , , 35024 760 31 adopted adopt VBN 35024 760 32 in in IN 35024 760 33 1924 1924 CD 35024 760 34 an an DT 35024 760 35 international international JJ 35024 760 36 reference reference NN 35024 760 37 ellipsoid,[111 ellipsoid,[111 NNP 35024 760 38 ] ] -RRB- 35024 760 39 of of IN 35024 760 40 which which WDT 35024 760 41 the the DT 35024 760 42 ellipticity ellipticity NN 35024 760 43 , , , 35024 760 44 or or CC 35024 760 45 flattening flattening NN 35024 760 46 , , , 35024 760 47 is be VBZ 35024 760 48 Hayford Hayford NNP 35024 760 49 's 's POS 35024 760 50 value value NN 35024 760 51 1/297 1/297 CD 35024 760 52 . . . 35024 761 1 In in IN 35024 761 2 1930 1930 CD 35024 761 3 , , , 35024 761 4 the the DT 35024 761 5 general general NNP 35024 761 6 assembly assembly NNP 35024 761 7 adopted adopt VBD 35024 761 8 a a DT 35024 761 9 correlated correlate VBN 35024 761 10 International International NNP 35024 761 11 Gravity Gravity NNP 35024 761 12 Formula Formula NNP 35024 761 13 of of IN 35024 761 14 the the DT 35024 761 15 form form NN 35024 761 16 [ [ -LRB- 35024 761 17 gamma gamma NN 35024 761 18 ] ] -RRB- 35024 761 19 = = NFP 35024 761 20 [ [ -LRB- 35024 761 21 gamma]_{E}(1 gamma]_{e}(1 NN 35024 761 22 + + CC 35024 761 23 [ [ -LRB- 35024 761 24 beta]sin^{2 beta]sin^{2 NN 35024 761 25 } } -RRB- 35024 761 26 [ [ -LRB- 35024 761 27 phi phi NNP 35024 761 28 ] ] -RRB- 35024 761 29 + + CC 35024 761 30 [ [ -LRB- 35024 761 31 epsilon]sin^{2 epsilon]sin^{2 NN 35024 761 32 } } -RRB- 35024 761 33 2[phi 2[phi NN 35024 761 34 ] ] -RRB- 35024 761 35 ) ) -RRB- 35024 761 36 where where WRB 35024 761 37 [ [ -LRB- 35024 761 38 gamma gamma NN 35024 761 39 ] ] -RRB- 35024 761 40 is be VBZ 35024 761 41 normal normal JJ 35024 761 42 gravity gravity NN 35024 761 43 at at IN 35024 761 44 latitude latitude NN 35024 761 45 [ [ -LRB- 35024 761 46 phi phi NNP 35024 761 47 ] ] -RRB- 35024 761 48 , , , 35024 761 49 [ [ -LRB- 35024 761 50 gamma]_{E gamma]_{E NNP 35024 761 51 } } -RRB- 35024 761 52 is be VBZ 35024 761 53 the the DT 35024 761 54 value value NN 35024 761 55 of of IN 35024 761 56 gravity gravity NN 35024 761 57 at at IN 35024 761 58 sea sea NN 35024 761 59 level level NN 35024 761 60 at at IN 35024 761 61 the the DT 35024 761 62 equator equator NN 35024 761 63 , , , 35024 761 64 [ [ -LRB- 35024 761 65 beta beta NN 35024 761 66 ] ] -RRB- 35024 761 67 is be VBZ 35024 761 68 a a DT 35024 761 69 parameter parameter NN 35024 761 70 which which WDT 35024 761 71 is be VBZ 35024 761 72 computed compute VBN 35024 761 73 on on IN 35024 761 74 the the DT 35024 761 75 basis basis NN 35024 761 76 of of IN 35024 761 77 Clairaut Clairaut NNP 35024 761 78 's 's POS 35024 761 79 theorem theorem NN 35024 761 80 from from IN 35024 761 81 the the DT 35024 761 82 flattening flattening NN 35024 761 83 value value NN 35024 761 84 of of IN 35024 761 85 the the DT 35024 761 86 meridian meridian NN 35024 761 87 , , , 35024 761 88 and and CC 35024 761 89 [ [ -LRB- 35024 761 90 epsilon epsilon NN 35024 761 91 ] ] -RRB- 35024 761 92 is be VBZ 35024 761 93 a a DT 35024 761 94 constant constant JJ 35024 761 95 which which WDT 35024 761 96 is be VBZ 35024 761 97 derived derive VBN 35024 761 98 theoretically theoretically RB 35024 761 99 . . . 35024 762 1 The the DT 35024 762 2 plumb plumb JJ 35024 762 3 line line NN 35024 762 4 is be VBZ 35024 762 5 perpendicular perpendicular JJ 35024 762 6 to to IN 35024 762 7 the the DT 35024 762 8 geoid geoid NN 35024 762 9 , , , 35024 762 10 and and CC 35024 762 11 the the DT 35024 762 12 components component NNS 35024 762 13 of of IN 35024 762 14 angle angle NN 35024 762 15 between between IN 35024 762 16 the the DT 35024 762 17 perpendiculars perpendicular NNS 35024 762 18 to to TO 35024 762 19 geoid geoid VB 35024 762 20 and and CC 35024 762 21 reference reference NN 35024 762 22 ellipsoid ellipsoid NN 35024 762 23 are be VBP 35024 762 24 deflections deflection NNS 35024 762 25 of of IN 35024 762 26 the the DT 35024 762 27 vertical vertical NN 35024 762 28 . . . 35024 763 1 The the DT 35024 763 2 geoid geoid NN 35024 763 3 is be VBZ 35024 763 4 above above IN 35024 763 5 the the DT 35024 763 6 ellipsoid ellipsoid NN 35024 763 7 of of IN 35024 763 8 reference reference NN 35024 763 9 under under IN 35024 763 10 mountains mountain NNS 35024 763 11 and and CC 35024 763 12 it -PRON- PRP 35024 763 13 is be VBZ 35024 763 14 below below IN 35024 763 15 the the DT 35024 763 16 ellipsoid ellipsoid NN 35024 763 17 on on IN 35024 763 18 the the DT 35024 763 19 oceans ocean NNS 35024 763 20 , , , 35024 763 21 where where WRB 35024 763 22 the the DT 35024 763 23 geoid geoid NN 35024 763 24 coincides coincide VBZ 35024 763 25 with with IN 35024 763 26 mean mean NNP 35024 763 27 sea sea NN 35024 763 28 level level NN 35024 763 29 . . . 35024 764 1 In in IN 35024 764 2 physical physical JJ 35024 764 3 geodesy geodesy NN 35024 764 4 , , , 35024 764 5 gravimetric gravimetric JJ 35024 764 6 data datum NNS 35024 764 7 are be VBP 35024 764 8 used use VBN 35024 764 9 for for IN 35024 764 10 the the DT 35024 764 11 determination determination NN 35024 764 12 of of IN 35024 764 13 the the DT 35024 764 14 geoid geoid NN 35024 764 15 and and CC 35024 764 16 components component NNS 35024 764 17 of of IN 35024 764 18 deflections deflection NNS 35024 764 19 of of IN 35024 764 20 the the DT 35024 764 21 vertical vertical NN 35024 764 22 . . . 35024 765 1 For for IN 35024 765 2 this this DT 35024 765 3 purpose purpose NN 35024 765 4 , , , 35024 765 5 one one PRP 35024 765 6 must must MD 35024 765 7 reduce reduce VB 35024 765 8 observed observed JJ 35024 765 9 values value NNS 35024 765 10 of of IN 35024 765 11 gravity gravity NN 35024 765 12 to to IN 35024 765 13 sea sea NN 35024 765 14 level level NN 35024 765 15 by by IN 35024 765 16 various various JJ 35024 765 17 reductions reduction NNS 35024 765 18 , , , 35024 765 19 such such JJ 35024 765 20 as as IN 35024 765 21 free free JJ 35024 765 22 - - HYPH 35024 765 23 air air NN 35024 765 24 , , , 35024 765 25 Bouguer Bouguer NNP 35024 765 26 , , , 35024 765 27 isostatic isostatic JJ 35024 765 28 reductions reduction NNS 35024 765 29 . . . 35024 766 1 If if IN 35024 766 2 g_{0 g_{0 NNP 35024 766 3 } } -RRB- 35024 766 4 is be VBZ 35024 766 5 observed observe VBN 35024 766 6 gravity gravity NN 35024 766 7 reduced reduce VBN 35024 766 8 to to IN 35024 766 9 sea sea NN 35024 766 10 level level NN 35024 766 11 and and CC 35024 766 12 [ [ -LRB- 35024 766 13 gamma gamma NN 35024 766 14 ] ] -RRB- 35024 766 15 is be VBZ 35024 766 16 normal normal JJ 35024 766 17 gravity gravity NN 35024 766 18 obtained obtain VBN 35024 766 19 from from IN 35024 766 20 the the DT 35024 766 21 International International NNP 35024 766 22 Gravity Gravity NNP 35024 766 23 Formula Formula NNP 35024 766 24 , , , 35024 766 25 then then RB 35024 766 26 [ [ -LRB- 35024 766 27 Delta]g Delta]g NNP 35024 766 28 = = SYM 35024 766 29 g_{0 g_{0 NN 35024 766 30 } } -RRB- 35024 766 31 - - HYPH 35024 766 32 [ [ -LRB- 35024 766 33 gamma gamma NN 35024 766 34 ] ] -RRB- 35024 766 35 is be VBZ 35024 766 36 the the DT 35024 766 37 gravity gravity NN 35024 766 38 anomaly anomaly RB 35024 766 39 . . . 35024 767 1 [ [ -LRB- 35024 767 2 112 112 CD 35024 767 3 ] ] -RRB- 35024 767 4 In in IN 35024 767 5 1849 1849 CD 35024 767 6 , , , 35024 767 7 Stokes Stokes NNP 35024 767 8 derived derive VBD 35024 767 9 a a DT 35024 767 10 theorem theorem NN 35024 767 11 whereby whereby WRB 35024 767 12 the the DT 35024 767 13 distance distance NN 35024 767 14 N n CD 35024 767 15 of of IN 35024 767 16 the the DT 35024 767 17 geoid geoid NN 35024 767 18 from from IN 35024 767 19 the the DT 35024 767 20 ellipsoid ellipsoid NN 35024 767 21 of of IN 35024 767 22 reference reference NN 35024 767 23 can can MD 35024 767 24 be be VB 35024 767 25 obtained obtain VBN 35024 767 26 from from IN 35024 767 27 an an DT 35024 767 28 integration integration NN 35024 767 29 of of IN 35024 767 30 gravity gravity NN 35024 767 31 anomalies anomaly NNS 35024 767 32 over over IN 35024 767 33 the the DT 35024 767 34 surface surface NN 35024 767 35 of of IN 35024 767 36 the the DT 35024 767 37 earth earth NN 35024 767 38 . . . 35024 768 1 Vening Vening NNP 35024 768 2 Meinesz Meinesz NNP 35024 768 3 further further RB 35024 768 4 derived derive VBD 35024 768 5 formulae formulae NNP 35024 768 6 for for IN 35024 768 7 the the DT 35024 768 8 calculation calculation NN 35024 768 9 of of IN 35024 768 10 components component NNS 35024 768 11 of of IN 35024 768 12 the the DT 35024 768 13 deflection deflection NN 35024 768 14 of of IN 35024 768 15 the the DT 35024 768 16 vertical vertical JJ 35024 768 17 . . . 35024 769 1 Geometrical geometrical JJ 35024 769 2 geodesy geodesy NN 35024 769 3 , , , 35024 769 4 which which WDT 35024 769 5 was be VBD 35024 769 6 based base VBN 35024 769 7 on on IN 35024 769 8 astronomical astronomical JJ 35024 769 9 - - HYPH 35024 769 10 geodetic geodetic JJ 35024 769 11 methods method NNS 35024 769 12 , , , 35024 769 13 could could MD 35024 769 14 give give VB 35024 769 15 information information NN 35024 769 16 only only RB 35024 769 17 concerning concern VBG 35024 769 18 the the DT 35024 769 19 external external JJ 35024 769 20 form form NN 35024 769 21 of of IN 35024 769 22 the the DT 35024 769 23 figure figure NN 35024 769 24 of of IN 35024 769 25 the the DT 35024 769 26 earth earth NN 35024 769 27 . . . 35024 770 1 The the DT 35024 770 2 gravimetric gravimetric JJ 35024 770 3 methods method NNS 35024 770 4 of of IN 35024 770 5 physical physical JJ 35024 770 6 geodesy geodesy NN 35024 770 7 , , , 35024 770 8 in in IN 35024 770 9 conjunction conjunction NN 35024 770 10 with with IN 35024 770 11 methods method NNS 35024 770 12 such such JJ 35024 770 13 as as IN 35024 770 14 those those DT 35024 770 15 of of IN 35024 770 16 seismology seismology NN 35024 770 17 , , , 35024 770 18 enable enable VBP 35024 770 19 scientists scientist NNS 35024 770 20 to to TO 35024 770 21 test test VB 35024 770 22 hypotheses hypothesis NNS 35024 770 23 concerning concern VBG 35024 770 24 the the DT 35024 770 25 internal internal JJ 35024 770 26 structure structure NN 35024 770 27 of of IN 35024 770 28 the the DT 35024 770 29 earth earth NN 35024 770 30 . . . 35024 771 1 Heiskanen Heiskanen NNP 35024 771 2 and and CC 35024 771 3 Vening Vening NNP 35024 771 4 Meinesz Meinesz NNP 35024 771 5 summarize summarize VB 35024 771 6 the the DT 35024 771 7 present present JJ 35024 771 8 - - HYPH 35024 771 9 day day NN 35024 771 10 achievements achievement NNS 35024 771 11 of of IN 35024 771 12 the the DT 35024 771 13 gravimetric gravimetric NN 35024 771 14 method method NN 35024 771 15 of of IN 35024 771 16 physical physical JJ 35024 771 17 geodesy geodesy NN 35024 771 18 by by IN 35024 771 19 stating[113 stating[113 NNP 35024 771 20 ] ] -RRB- 35024 771 21 that that IN 35024 771 22 it -PRON- PRP 35024 771 23 alone alone RB 35024 771 24 can can MD 35024 771 25 give give VB 35024 771 26 : : : 35024 771 27 1 1 CD 35024 771 28 . . . 35024 772 1 The the DT 35024 772 2 flattening flattening NN 35024 772 3 of of IN 35024 772 4 the the DT 35024 772 5 reference reference NN 35024 772 6 ellipsoid ellipsoid NN 35024 772 7 . . . 35024 773 1 2 2 LS 35024 773 2 . . . 35024 774 1 The the DT 35024 774 2 undulations undulation NNS 35024 774 3 N n CD 35024 774 4 of of IN 35024 774 5 the the DT 35024 774 6 geoid geoid NN 35024 774 7 . . . 35024 775 1 3 3 LS 35024 775 2 . . . 35024 776 1 The the DT 35024 776 2 components component NNS 35024 776 3 of of IN 35024 776 4 the the DT 35024 776 5 deflection deflection NN 35024 776 6 of of IN 35024 776 7 the the DT 35024 776 8 vertical vertical JJ 35024 776 9 [ [ -LRB- 35024 776 10 xi xi NNP 35024 776 11 ] ] -RRB- 35024 776 12 and and CC 35024 776 13 [ [ -LRB- 35024 776 14 eta eta NNP 35024 776 15 ] ] -RRB- 35024 776 16 at at IN 35024 776 17 any any DT 35024 776 18 point point NN 35024 776 19 , , , 35024 776 20 oceans ocean NNS 35024 776 21 and and CC 35024 776 22 islands island NNS 35024 776 23 included include VBN 35024 776 24 . . . 35024 777 1 4 4 LS 35024 777 2 . . . 35024 778 1 The the DT 35024 778 2 conversion conversion NN 35024 778 3 of of IN 35024 778 4 existing exist VBG 35024 778 5 geodetic geodetic JJ 35024 778 6 systems system NNS 35024 778 7 to to IN 35024 778 8 the the DT 35024 778 9 same same JJ 35024 778 10 world world NN 35024 778 11 geodetic geodetic JJ 35024 778 12 system system NN 35024 778 13 . . . 35024 779 1 5 5 CD 35024 779 2 . . . 35024 780 1 The the DT 35024 780 2 reduction reduction NN 35024 780 3 of of IN 35024 780 4 triangulation triangulation NN 35024 780 5 base base NN 35024 780 6 lines line NNS 35024 780 7 from from IN 35024 780 8 the the DT 35024 780 9 geoid geoid NN 35024 780 10 to to IN 35024 780 11 the the DT 35024 780 12 reference reference NN 35024 780 13 ellipsoid ellipsoid NN 35024 780 14 . . . 35024 781 1 6 6 CD 35024 781 2 . . . 35024 782 1 The the DT 35024 782 2 correction correction NN 35024 782 3 of of IN 35024 782 4 errors error NNS 35024 782 5 in in IN 35024 782 6 triangulation triangulation NN 35024 782 7 in in IN 35024 782 8 mountainous mountainous JJ 35024 782 9 regions region NNS 35024 782 10 due due IN 35024 782 11 to to IN 35024 782 12 the the DT 35024 782 13 effect effect NN 35024 782 14 of of IN 35024 782 15 the the DT 35024 782 16 deflections deflection NNS 35024 782 17 of of IN 35024 782 18 the the DT 35024 782 19 vertical vertical NN 35024 782 20 . . . 35024 783 1 7 7 LS 35024 783 2 . . . 35024 784 1 Geophysical geophysical JJ 35024 784 2 applications application NNS 35024 784 3 of of IN 35024 784 4 gravity gravity NN 35024 784 5 measurements measurement NNS 35024 784 6 , , , 35024 784 7 e.g. e.g. RB 35024 784 8 , , , 35024 784 9 the the DT 35024 784 10 isostatic isostatic JJ 35024 784 11 study study NN 35024 784 12 of of IN 35024 784 13 the the DT 35024 784 14 earth earth NN 35024 784 15 's 's POS 35024 784 16 interior interior NN 35024 784 17 and and CC 35024 784 18 the the DT 35024 784 19 exploration exploration NN 35024 784 20 of of IN 35024 784 21 oil oil NN 35024 784 22 fields field NNS 35024 784 23 and and CC 35024 784 24 ore ore NN 35024 784 25 deposits deposit NNS 35024 784 26 . . . 35024 785 1 With with IN 35024 785 2 astronomical astronomical JJ 35024 785 3 observations observation NNS 35024 785 4 or or CC 35024 785 5 with with IN 35024 785 6 existing exist VBG 35024 785 7 triangulations triangulation NNS 35024 785 8 , , , 35024 785 9 the the DT 35024 785 10 gravimetric gravimetric NN 35024 785 11 method method NN 35024 785 12 can can MD 35024 785 13 accomplish accomplish VB 35024 785 14 further further JJ 35024 785 15 results result NNS 35024 785 16 . . . 35024 786 1 Heiskanen Heiskanen NNP 35024 786 2 and and CC 35024 786 3 Vening Vening NNP 35024 786 4 Meinesz Meinesz NNP 35024 786 5 state state NN 35024 786 6 : : : 35024 786 7 It -PRON- PRP 35024 786 8 is be VBZ 35024 786 9 the the DT 35024 786 10 firm firm JJ 35024 786 11 conviction conviction NN 35024 786 12 of of IN 35024 786 13 the the DT 35024 786 14 authors author NNS 35024 786 15 that that WDT 35024 786 16 the the DT 35024 786 17 gravimetric gravimetric NN 35024 786 18 method method NN 35024 786 19 is be VBZ 35024 786 20 by by IN 35024 786 21 far far RB 35024 786 22 the the DT 35024 786 23 best good JJS 35024 786 24 of of IN 35024 786 25 the the DT 35024 786 26 existing exist VBG 35024 786 27 methods method NNS 35024 786 28 for for IN 35024 786 29 solving solve VBG 35024 786 30 the the DT 35024 786 31 main main JJ 35024 786 32 problems problem NNS 35024 786 33 of of IN 35024 786 34 geodesy geodesy NN 35024 786 35 , , , 35024 786 36 i.e. i.e. FW 35024 786 37 , , , 35024 786 38 to to TO 35024 786 39 determine determine VB 35024 786 40 the the DT 35024 786 41 shape shape NN 35024 786 42 of of IN 35024 786 43 the the DT 35024 786 44 geoid geoid NN 35024 786 45 on on IN 35024 786 46 the the DT 35024 786 47 continents continent NNS 35024 786 48 as as RB 35024 786 49 well well RB 35024 786 50 as as IN 35024 786 51 at at IN 35024 786 52 sea sea NN 35024 786 53 and and CC 35024 786 54 to to TO 35024 786 55 convert convert VB 35024 786 56 the the DT 35024 786 57 existing exist VBG 35024 786 58 geodetic geodetic JJ 35024 786 59 systems system NNS 35024 786 60 to to IN 35024 786 61 the the DT 35024 786 62 world world NN 35024 786 63 geodetic geodetic JJ 35024 786 64 system system NN 35024 786 65 . . . 35024 787 1 It -PRON- PRP 35024 787 2 can can MD 35024 787 3 also also RB 35024 787 4 give give VB 35024 787 5 invaluable invaluable JJ 35024 787 6 help help NN 35024 787 7 in in IN 35024 787 8 the the DT 35024 787 9 computation computation NN 35024 787 10 of of IN 35024 787 11 the the DT 35024 787 12 reference reference NN 35024 787 13 ellipsoid ellipsoid NN 35024 787 14 . . . 35024 788 1 [ [ -LRB- 35024 788 2 114 114 CD 35024 788 3 ] ] -RRB- 35024 788 4 Summary Summary NNP 35024 788 5 Since since IN 35024 788 6 the the DT 35024 788 7 creation creation NN 35024 788 8 of of IN 35024 788 9 classical classical JJ 35024 788 10 mechanics mechanic NNS 35024 788 11 in in IN 35024 788 12 the the DT 35024 788 13 17th 17th JJ 35024 788 14 century century NN 35024 788 15 , , , 35024 788 16 the the DT 35024 788 17 pendulum pendulum NN 35024 788 18 has have VBZ 35024 788 19 been be VBN 35024 788 20 a a DT 35024 788 21 basic basic JJ 35024 788 22 instrument instrument NN 35024 788 23 for for IN 35024 788 24 the the DT 35024 788 25 determination determination NN 35024 788 26 of of IN 35024 788 27 the the DT 35024 788 28 intensity intensity NN 35024 788 29 of of IN 35024 788 30 gravity gravity NN 35024 788 31 , , , 35024 788 32 which which WDT 35024 788 33 is be VBZ 35024 788 34 expressed express VBN 35024 788 35 as as IN 35024 788 36 the the DT 35024 788 37 acceleration acceleration NN 35024 788 38 of of IN 35024 788 39 a a DT 35024 788 40 freely freely RB 35024 788 41 falling fall VBG 35024 788 42 body body NN 35024 788 43 . . . 35024 789 1 Basis basis NN 35024 789 2 of of IN 35024 789 3 theory theory NN 35024 789 4 is be VBZ 35024 789 5 the the DT 35024 789 6 simple simple JJ 35024 789 7 pendulum pendulum NN 35024 789 8 , , , 35024 789 9 whose whose WP$ 35024 789 10 time time NN 35024 789 11 of of IN 35024 789 12 swing swing NN 35024 789 13 under under IN 35024 789 14 gravity gravity NN 35024 789 15 is be VBZ 35024 789 16 proportional proportional JJ 35024 789 17 to to IN 35024 789 18 the the DT 35024 789 19 square square JJ 35024 789 20 root root NN 35024 789 21 of of IN 35024 789 22 the the DT 35024 789 23 length length NN 35024 789 24 divided divide VBN 35024 789 25 by by IN 35024 789 26 the the DT 35024 789 27 acceleration acceleration NN 35024 789 28 due due IN 35024 789 29 to to IN 35024 789 30 gravity gravity NN 35024 789 31 . . . 35024 790 1 Since since IN 35024 790 2 the the DT 35024 790 3 length length NN 35024 790 4 of of IN 35024 790 5 a a DT 35024 790 6 simple simple JJ 35024 790 7 pendulum pendulum NN 35024 790 8 divided divide VBN 35024 790 9 by by IN 35024 790 10 the the DT 35024 790 11 square square NN 35024 790 12 of of IN 35024 790 13 its -PRON- PRP$ 35024 790 14 time time NN 35024 790 15 of of IN 35024 790 16 swing swing NN 35024 790 17 is be VBZ 35024 790 18 equal equal JJ 35024 790 19 to to IN 35024 790 20 the the DT 35024 790 21 length length NN 35024 790 22 of of IN 35024 790 23 a a DT 35024 790 24 pendulum pendulum NN 35024 790 25 that that WDT 35024 790 26 beats beat VBZ 35024 790 27 seconds second NNS 35024 790 28 , , , 35024 790 29 the the DT 35024 790 30 intensity intensity NN 35024 790 31 of of IN 35024 790 32 gravity gravity NN 35024 790 33 also also RB 35024 790 34 has have VBZ 35024 790 35 been be VBN 35024 790 36 expressed express VBN 35024 790 37 in in IN 35024 790 38 terms term NNS 35024 790 39 of of IN 35024 790 40 the the DT 35024 790 41 length length NN 35024 790 42 of of IN 35024 790 43 the the DT 35024 790 44 seconds second NNS 35024 790 45 pendulum pendulum NN 35024 790 46 . . . 35024 791 1 The the DT 35024 791 2 reversible reversible JJ 35024 791 3 compound compound NN 35024 791 4 pendulum pendulum NN 35024 791 5 has have VBZ 35024 791 6 served serve VBN 35024 791 7 for for IN 35024 791 8 the the DT 35024 791 9 absolute absolute JJ 35024 791 10 determination determination NN 35024 791 11 of of IN 35024 791 12 gravity gravity NN 35024 791 13 by by IN 35024 791 14 means mean NNS 35024 791 15 of of IN 35024 791 16 a a DT 35024 791 17 theory theory NN 35024 791 18 developed develop VBN 35024 791 19 by by IN 35024 791 20 Huygens Huygens NNP 35024 791 21 . . . 35024 792 1 Invariable invariable JJ 35024 792 2 compound compound NN 35024 792 3 pendulums pendulum NNS 35024 792 4 with with IN 35024 792 5 single single JJ 35024 792 6 axes axis NNS 35024 792 7 also also RB 35024 792 8 have have VBP 35024 792 9 been be VBN 35024 792 10 used use VBN 35024 792 11 to to TO 35024 792 12 determine determine VB 35024 792 13 relative relative JJ 35024 792 14 values value NNS 35024 792 15 of of IN 35024 792 16 gravity gravity NN 35024 792 17 by by IN 35024 792 18 comparative comparative JJ 35024 792 19 times time NNS 35024 792 20 of of IN 35024 792 21 swing swing NN 35024 792 22 . . . 35024 793 1 The the DT 35024 793 2 history history NN 35024 793 3 of of IN 35024 793 4 gravity gravity NN 35024 793 5 pendulums pendulum NNS 35024 793 6 begins begin VBZ 35024 793 7 with with IN 35024 793 8 the the DT 35024 793 9 ball ball NN 35024 793 10 or or CC 35024 793 11 " " `` 35024 793 12 simple simple JJ 35024 793 13 " " '' 35024 793 14 pendulum pendulum NN 35024 793 15 of of IN 35024 793 16 Galileo Galileo NNP 35024 793 17 as as IN 35024 793 18 an an DT 35024 793 19 approximation approximation NN 35024 793 20 to to IN 35024 793 21 the the DT 35024 793 22 ideal ideal JJ 35024 793 23 simple simple JJ 35024 793 24 pendulum pendulum NN 35024 793 25 . . . 35024 794 1 Determinations determination NNS 35024 794 2 of of IN 35024 794 3 the the DT 35024 794 4 length length NN 35024 794 5 of of IN 35024 794 6 the the DT 35024 794 7 seconds second NNS 35024 794 8 pendulum pendulum NN 35024 794 9 by by IN 35024 794 10 French french JJ 35024 794 11 scientists scientist NNS 35024 794 12 culminated culminate VBD 35024 794 13 in in IN 35024 794 14 a a DT 35024 794 15 historic historic JJ 35024 794 16 determination determination NN 35024 794 17 at at IN 35024 794 18 Paris Paris NNP 35024 794 19 by by IN 35024 794 20 Borda Borda NNP 35024 794 21 and and CC 35024 794 22 Cassini Cassini NNP 35024 794 23 , , , 35024 794 24 from from IN 35024 794 25 the the DT 35024 794 26 corrected correct VBN 35024 794 27 observations observation NNS 35024 794 28 with with IN 35024 794 29 a a DT 35024 794 30 long long JJ 35024 794 31 ball ball NN 35024 794 32 pendulum pendulum NN 35024 794 33 . . . 35024 795 1 In in IN 35024 795 2 the the DT 35024 795 3 19th 19th JJ 35024 795 4 century century NN 35024 795 5 , , , 35024 795 6 Bessel Bessel NNP 35024 795 7 found find VBD 35024 795 8 the the DT 35024 795 9 length length NN 35024 795 10 of of IN 35024 795 11 the the DT 35024 795 12 seconds second NNS 35024 795 13 pendulum pendulum NN 35024 795 14 at at IN 35024 795 15 Königsberg Königsberg NNP 35024 795 16 and and CC 35024 795 17 Berlin Berlin NNP 35024 795 18 by by IN 35024 795 19 observations observation NNS 35024 795 20 with with IN 35024 795 21 a a DT 35024 795 22 ball ball NN 35024 795 23 pendulum pendulum NN 35024 795 24 and and CC 35024 795 25 by by IN 35024 795 26 original original JJ 35024 795 27 theoretical theoretical JJ 35024 795 28 considerations consideration NNS 35024 795 29 . . . 35024 796 1 During during IN 35024 796 2 the the DT 35024 796 3 century century NN 35024 796 4 , , , 35024 796 5 however however RB 35024 796 6 , , , 35024 796 7 the the DT 35024 796 8 compound compound NN 35024 796 9 pendulum pendulum NN 35024 796 10 came come VBD 35024 796 11 to to TO 35024 796 12 be be VB 35024 796 13 preferred prefer VBN 35024 796 14 for for IN 35024 796 15 absolute absolute JJ 35024 796 16 and and CC 35024 796 17 relative relative JJ 35024 796 18 determinations determination NNS 35024 796 19 . . . 35024 797 1 Capt capt NN 35024 797 2 . . . 35024 798 1 Henry Henry NNP 35024 798 2 Kater Kater NNP 35024 798 3 , , , 35024 798 4 at at IN 35024 798 5 London London NNP 35024 798 6 , , , 35024 798 7 constructed construct VBD 35024 798 8 the the DT 35024 798 9 first first JJ 35024 798 10 convertible convertible JJ 35024 798 11 compound compound NN 35024 798 12 for for IN 35024 798 13 an an DT 35024 798 14 absolute absolute JJ 35024 798 15 determination determination NN 35024 798 16 of of IN 35024 798 17 gravity gravity NN 35024 798 18 , , , 35024 798 19 and and CC 35024 798 20 then then RB 35024 798 21 he -PRON- PRP 35024 798 22 designed design VBD 35024 798 23 an an DT 35024 798 24 invariable invariable JJ 35024 798 25 compound compound NN 35024 798 26 pendulum pendulum NN 35024 798 27 , , , 35024 798 28 examples example NNS 35024 798 29 of of IN 35024 798 30 which which WDT 35024 798 31 were be VBD 35024 798 32 used use VBN 35024 798 33 for for IN 35024 798 34 relative relative JJ 35024 798 35 determinations determination NNS 35024 798 36 at at IN 35024 798 37 various various JJ 35024 798 38 stations station NNS 35024 798 39 in in IN 35024 798 40 Europe Europe NNP 35024 798 41 and and CC 35024 798 42 elsewhere elsewhere RB 35024 798 43 . . . 35024 799 1 Bessel Bessel NNP 35024 799 2 demonstrated demonstrate VBD 35024 799 3 theoretically theoretically RB 35024 799 4 the the DT 35024 799 5 advantages advantage NNS 35024 799 6 of of IN 35024 799 7 a a DT 35024 799 8 reversible reversible JJ 35024 799 9 compound compound NN 35024 799 10 pendulum pendulum NN 35024 799 11 which which WDT 35024 799 12 is be VBZ 35024 799 13 symmetrical symmetrical JJ 35024 799 14 in in IN 35024 799 15 form form NN 35024 799 16 and and CC 35024 799 17 is be VBZ 35024 799 18 hung hang VBN 35024 799 19 by by IN 35024 799 20 interchangeable interchangeable JJ 35024 799 21 knives knife NNS 35024 799 22 . . . 35024 800 1 The the DT 35024 800 2 firm firm NN 35024 800 3 of of IN 35024 800 4 A. A. NNP 35024 800 5 Repsold Repsold NNP 35024 800 6 and and CC 35024 800 7 Sons Sons NNPS 35024 800 8 in in IN 35024 800 9 Hamburg Hamburg NNP 35024 800 10 constructed construct VBD 35024 800 11 pendulums pendulum NNS 35024 800 12 from from IN 35024 800 13 the the DT 35024 800 14 specifications specification NNS 35024 800 15 of of IN 35024 800 16 Bessel Bessel NNP 35024 800 17 for for IN 35024 800 18 European european JJ 35024 800 19 gravity gravity NN 35024 800 20 surveys survey NNS 35024 800 21 . . . 35024 801 1 Charles Charles NNP 35024 801 2 S. S. NNP 35024 801 3 Peirce Peirce NNP 35024 801 4 in in IN 35024 801 5 1875 1875 CD 35024 801 6 received receive VBD 35024 801 7 delivery delivery NN 35024 801 8 in in IN 35024 801 9 Hamburg Hamburg NNP 35024 801 10 of of IN 35024 801 11 a a DT 35024 801 12 Repsold Repsold NNP 35024 801 13 - - HYPH 35024 801 14 Bessel Bessel NNP 35024 801 15 pendulum pendulum NN 35024 801 16 for for IN 35024 801 17 the the DT 35024 801 18 U.S. U.S. NNP 35024 801 19 Coast Coast NNP 35024 801 20 Survey Survey NNP 35024 801 21 and and CC 35024 801 22 observed observe VBD 35024 801 23 with with IN 35024 801 24 it -PRON- PRP 35024 801 25 in in IN 35024 801 26 Geneva Geneva NNP 35024 801 27 , , , 35024 801 28 Paris Paris NNP 35024 801 29 , , , 35024 801 30 Berlin Berlin NNP 35024 801 31 , , , 35024 801 32 and and CC 35024 801 33 London London NNP 35024 801 34 . . . 35024 802 1 Upon upon IN 35024 802 2 an an DT 35024 802 3 initial initial JJ 35024 802 4 stimulation stimulation NN 35024 802 5 from from IN 35024 802 6 Baeyer Baeyer NNP 35024 802 7 , , , 35024 802 8 founder founder NN 35024 802 9 of of IN 35024 802 10 _ _ NNP 35024 802 11 Die Die NNP 35024 802 12 Europäische Europäische NNP 35024 802 13 Gradmessung Gradmessung NNP 35024 802 14 _ _ NNP 35024 802 15 , , , 35024 802 16 Peirce Peirce NNP 35024 802 17 demonstrated demonstrate VBD 35024 802 18 by by IN 35024 802 19 experiment experiment NN 35024 802 20 and and CC 35024 802 21 theory theory NN 35024 802 22 that that WDT 35024 802 23 results result NNS 35024 802 24 previously previously RB 35024 802 25 obtained obtain VBN 35024 802 26 with with IN 35024 802 27 the the DT 35024 802 28 Repsold Repsold NNP 35024 802 29 apparatus apparatus NN 35024 802 30 required require VBD 35024 802 31 correction correction NN 35024 802 32 , , , 35024 802 33 because because IN 35024 802 34 of of IN 35024 802 35 the the DT 35024 802 36 flexure flexure NN 35024 802 37 of of IN 35024 802 38 the the DT 35024 802 39 stand stand NN 35024 802 40 under under IN 35024 802 41 oscillations oscillation NNS 35024 802 42 of of IN 35024 802 43 the the DT 35024 802 44 pendulum pendulum NN 35024 802 45 . . . 35024 803 1 At at IN 35024 803 2 the the DT 35024 803 3 Stuttgart Stuttgart NNP 35024 803 4 conference conference NN 35024 803 5 of of IN 35024 803 6 the the DT 35024 803 7 geodetic geodetic NNP 35024 803 8 association association NNP 35024 803 9 in in IN 35024 803 10 1877 1877 CD 35024 803 11 , , , 35024 803 12 Hervé Hervé NNP 35024 803 13 Faye Faye NNP 35024 803 14 proposed propose VBD 35024 803 15 to to TO 35024 803 16 solve solve VB 35024 803 17 the the DT 35024 803 18 problem problem NN 35024 803 19 of of IN 35024 803 20 flexure flexure NN 35024 803 21 by by IN 35024 803 22 swinging swinge VBG 35024 803 23 two two CD 35024 803 24 similar similar JJ 35024 803 25 pendulums pendulum NNS 35024 803 26 from from IN 35024 803 27 the the DT 35024 803 28 same same JJ 35024 803 29 support support NN 35024 803 30 with with IN 35024 803 31 equal equal JJ 35024 803 32 amplitudes amplitude NNS 35024 803 33 and and CC 35024 803 34 in in IN 35024 803 35 opposite opposite JJ 35024 803 36 phases phase NNS 35024 803 37 . . . 35024 804 1 Peirce Peirce NNP 35024 804 2 , , , 35024 804 3 in in IN 35024 804 4 1879 1879 CD 35024 804 5 , , , 35024 804 6 demonstrated demonstrate VBD 35024 804 7 theoretically theoretically RB 35024 804 8 the the DT 35024 804 9 soundness soundness NN 35024 804 10 of of IN 35024 804 11 the the DT 35024 804 12 method method NN 35024 804 13 and and CC 35024 804 14 presented present VBD 35024 804 15 a a DT 35024 804 16 design design NN 35024 804 17 for for IN 35024 804 18 its -PRON- PRP$ 35024 804 19 application application NN 35024 804 20 , , , 35024 804 21 but but CC 35024 804 22 the the DT 35024 804 23 " " `` 35024 804 24 double double JJ 35024 804 25 pendulum pendulum NN 35024 804 26 " " '' 35024 804 27 was be VBD 35024 804 28 rejected reject VBN 35024 804 29 at at IN 35024 804 30 that that DT 35024 804 31 time time NN 35024 804 32 . . . 35024 805 1 Peirce peirce NN 35024 805 2 also also RB 35024 805 3 designed design VBD 35024 805 4 and and CC 35024 805 5 had have VBD 35024 805 6 constructed construct VBN 35024 805 7 four four CD 35024 805 8 examples example NNS 35024 805 9 of of IN 35024 805 10 a a DT 35024 805 11 new new JJ 35024 805 12 type type NN 35024 805 13 of of IN 35024 805 14 invariable invariable JJ 35024 805 15 , , , 35024 805 16 reversible reversible JJ 35024 805 17 pendulum pendulum NN 35024 805 18 of of IN 35024 805 19 cylindrical cylindrical JJ 35024 805 20 form form NN 35024 805 21 which which WDT 35024 805 22 made make VBD 35024 805 23 possible possible JJ 35024 805 24 the the DT 35024 805 25 experimental experimental JJ 35024 805 26 study study NN 35024 805 27 of of IN 35024 805 28 Stokes Stokes NNP 35024 805 29 ' ' POS 35024 805 30 theory theory NN 35024 805 31 of of IN 35024 805 32 the the DT 35024 805 33 resistance resistance NN 35024 805 34 to to IN 35024 805 35 motion motion NN 35024 805 36 of of IN 35024 805 37 a a DT 35024 805 38 pendulum pendulum NN 35024 805 39 in in IN 35024 805 40 a a DT 35024 805 41 viscous viscous JJ 35024 805 42 fluid fluid NN 35024 805 43 . . . 35024 806 1 Commandant Commandant NNP 35024 806 2 Defforges Defforges NNPS 35024 806 3 , , , 35024 806 4 of of IN 35024 806 5 France France NNP 35024 806 6 , , , 35024 806 7 also also RB 35024 806 8 designed design VBN 35024 806 9 and and CC 35024 806 10 used use VBN 35024 806 11 cylindrical cylindrical JJ 35024 806 12 reversible reversible NN 35024 806 13 pendulums pendulum NNS 35024 806 14 , , , 35024 806 15 but but CC 35024 806 16 of of IN 35024 806 17 different different JJ 35024 806 18 length length NN 35024 806 19 so so IN 35024 806 20 that that IN 35024 806 21 the the DT 35024 806 22 effect effect NN 35024 806 23 of of IN 35024 806 24 flexure flexure NN 35024 806 25 was be VBD 35024 806 26 eliminated eliminate VBN 35024 806 27 in in IN 35024 806 28 the the DT 35024 806 29 reduction reduction NN 35024 806 30 of of IN 35024 806 31 observations observation NNS 35024 806 32 . . . 35024 807 1 Maj Maj NNP 35024 807 2 . . NNP 35024 807 3 Robert Robert NNP 35024 807 4 von von NNP 35024 807 5 Sterneck Sterneck NNP 35024 807 6 , , , 35024 807 7 of of IN 35024 807 8 Austria Austria NNP 35024 807 9 - - HYPH 35024 807 10 Hungary Hungary NNP 35024 807 11 , , , 35024 807 12 initiated initiate VBD 35024 807 13 a a DT 35024 807 14 new new JJ 35024 807 15 era era NN 35024 807 16 in in IN 35024 807 17 gravity gravity NN 35024 807 18 research research NN 35024 807 19 by by IN 35024 807 20 the the DT 35024 807 21 invention invention NN 35024 807 22 of of IN 35024 807 23 an an DT 35024 807 24 apparatus apparatus NN 35024 807 25 with with IN 35024 807 26 a a DT 35024 807 27 short short JJ 35024 807 28 pendulum pendulum NN 35024 807 29 for for IN 35024 807 30 relative relative JJ 35024 807 31 determinations determination NNS 35024 807 32 of of IN 35024 807 33 gravity gravity NN 35024 807 34 . . . 35024 808 1 Stands stand NNS 35024 808 2 were be VBD 35024 808 3 then then RB 35024 808 4 constructed construct VBN 35024 808 5 in in IN 35024 808 6 Europe Europe NNP 35024 808 7 on on IN 35024 808 8 which which WDT 35024 808 9 two two CD 35024 808 10 or or CC 35024 808 11 four four CD 35024 808 12 pendulums pendulum NNS 35024 808 13 were be VBD 35024 808 14 hung hang VBN 35024 808 15 at at IN 35024 808 16 the the DT 35024 808 17 same same JJ 35024 808 18 time time NN 35024 808 19 . . . 35024 809 1 Finally finally RB 35024 809 2 , , , 35024 809 3 early early RB 35024 809 4 in in IN 35024 809 5 the the DT 35024 809 6 present present JJ 35024 809 7 century century NN 35024 809 8 , , , 35024 809 9 Vening Vening NNP 35024 809 10 Meinesz Meinesz NNP 35024 809 11 found find VBD 35024 809 12 that that IN 35024 809 13 the the DT 35024 809 14 Faye Faye NNP 35024 809 15 - - HYPH 35024 809 16 Peirce Peirce NNP 35024 809 17 method method NN 35024 809 18 of of IN 35024 809 19 swinging swinge VBG 35024 809 20 pendulums pendulum NNS 35024 809 21 hung hang VBD 35024 809 22 on on IN 35024 809 23 a a DT 35024 809 24 Stückrath Stückrath NNP 35024 809 25 four four CD 35024 809 26 - - HYPH 35024 809 27 pendulum pendulum NN 35024 809 28 stand stand NN 35024 809 29 solved solve VBD 35024 809 30 the the DT 35024 809 31 problem problem NN 35024 809 32 of of IN 35024 809 33 instability instability NN 35024 809 34 due due IN 35024 809 35 to to IN 35024 809 36 the the DT 35024 809 37 mobility mobility NN 35024 809 38 of of IN 35024 809 39 the the DT 35024 809 40 soil soil NN 35024 809 41 in in IN 35024 809 42 Holland Holland NNP 35024 809 43 . . . 35024 810 1 The the DT 35024 810 2 20th 20th JJ 35024 810 3 century century NN 35024 810 4 has have VBZ 35024 810 5 witnessed witness VBN 35024 810 6 increasing increase VBG 35024 810 7 activity activity NN 35024 810 8 in in IN 35024 810 9 the the DT 35024 810 10 determination determination NN 35024 810 11 of of IN 35024 810 12 absolute absolute JJ 35024 810 13 and and CC 35024 810 14 relative relative JJ 35024 810 15 values value NNS 35024 810 16 of of IN 35024 810 17 gravity gravity NN 35024 810 18 . . . 35024 811 1 Gravimeters gravimeter NNS 35024 811 2 have have VBP 35024 811 3 been be VBN 35024 811 4 perfected perfect VBN 35024 811 5 and and CC 35024 811 6 have have VBP 35024 811 7 been be VBN 35024 811 8 widely widely RB 35024 811 9 used use VBN 35024 811 10 for for IN 35024 811 11 rapid rapid JJ 35024 811 12 relative relative JJ 35024 811 13 determinations determination NNS 35024 811 14 , , , 35024 811 15 but but CC 35024 811 16 the the DT 35024 811 17 compound compound NN 35024 811 18 pendulums pendulum NNS 35024 811 19 remain remain VBP 35024 811 20 as as IN 35024 811 21 indispensable indispensable JJ 35024 811 22 instruments instrument NNS 35024 811 23 . . . 35024 812 1 Mendenhall Mendenhall NNP 35024 812 2 's 's POS 35024 812 3 replacement replacement NN 35024 812 4 of of IN 35024 812 5 knives knife NNS 35024 812 6 by by IN 35024 812 7 planes plane NNS 35024 812 8 attached attach VBN 35024 812 9 to to IN 35024 812 10 nonreversible nonreversible JJ 35024 812 11 pendulums pendulum NNS 35024 812 12 has have VBZ 35024 812 13 been be VBN 35024 812 14 used use VBN 35024 812 15 also also RB 35024 812 16 for for IN 35024 812 17 reversible reversible JJ 35024 812 18 ones one NNS 35024 812 19 . . . 35024 813 1 The the DT 35024 813 2 Geodetic Geodetic NNP 35024 813 3 Institute Institute NNP 35024 813 4 at at IN 35024 813 5 Potsdam Potsdam NNP 35024 813 6 is be VBZ 35024 813 7 presently presently RB 35024 813 8 applying apply VBG 35024 813 9 the the DT 35024 813 10 Faye Faye NNP 35024 813 11 - - HYPH 35024 813 12 Peirce Peirce NNP 35024 813 13 method method NN 35024 813 14 to to IN 35024 813 15 the the DT 35024 813 16 reversible reversible JJ 35024 813 17 pendulum pendulum NN 35024 813 18 . . . 35024 814 1 [ [ -LRB- 35024 814 2 115 115 CD 35024 814 3 ] ] -RRB- 35024 814 4 Pendulums pendulum NNS 35024 814 5 have have VBP 35024 814 6 been be VBN 35024 814 7 constructed construct VBN 35024 814 8 of of IN 35024 814 9 new new JJ 35024 814 10 materials material NNS 35024 814 11 , , , 35024 814 12 such such JJ 35024 814 13 as as IN 35024 814 14 invar invar JJ 35024 814 15 , , , 35024 814 16 fused fuse VBN 35024 814 17 silica silica NN 35024 814 18 , , , 35024 814 19 and and CC 35024 814 20 fused fuse VBD 35024 814 21 quartz quartz NN 35024 814 22 . . . 35024 815 1 Minimum minimum JJ 35024 815 2 pendulums pendulum NNS 35024 815 3 for for IN 35024 815 4 precise precise JJ 35024 815 5 relative relative JJ 35024 815 6 determinations determination NNS 35024 815 7 have have VBP 35024 815 8 been be VBN 35024 815 9 constructed construct VBN 35024 815 10 and and CC 35024 815 11 used use VBN 35024 815 12 . . . 35024 816 1 Reversible reversible JJ 35024 816 2 pendulums pendulum NNS 35024 816 3 have have VBP 35024 816 4 been be VBN 35024 816 5 made make VBN 35024 816 6 with with IN 35024 816 7 " " `` 35024 816 8 I -PRON- PRP 35024 816 9 " " '' 35024 816 10 cross cross NN 35024 816 11 sections section NNS 35024 816 12 for for IN 35024 816 13 better well JJR 35024 816 14 stiffness stiffness NN 35024 816 15 . . . 35024 817 1 With with IN 35024 817 2 all all PDT 35024 817 3 these these DT 35024 817 4 modifications modification NNS 35024 817 5 , , , 35024 817 6 however however RB 35024 817 7 , , , 35024 817 8 the the DT 35024 817 9 foundations foundation NNS 35024 817 10 of of IN 35024 817 11 the the DT 35024 817 12 present present JJ 35024 817 13 designs design NNS 35024 817 14 of of IN 35024 817 15 compound compound NN 35024 817 16 pendulum pendulum NN 35024 817 17 apparatus apparatus NNP 35024 817 18 were be VBD 35024 817 19 created create VBN 35024 817 20 in in IN 35024 817 21 the the DT 35024 817 22 19th 19th JJ 35024 817 23 century century NN 35024 817 24 . . . 35024 818 1 FOOTNOTES footnote NNS 35024 818 2 : : : 35024 818 3 [ [ -LRB- 35024 818 4 1 1 LS 35024 818 5 ] ] -RRB- 35024 818 6 The the DT 35024 818 7 basic basic JJ 35024 818 8 historical historical JJ 35024 818 9 documents document NNS 35024 818 10 have have VBP 35024 818 11 been be VBN 35024 818 12 collected collect VBN 35024 818 13 , , , 35024 818 14 with with IN 35024 818 15 a a DT 35024 818 16 bibliography bibliography NN 35024 818 17 of of IN 35024 818 18 works work NNS 35024 818 19 and and CC 35024 818 20 memoirs memoir NNS 35024 818 21 published publish VBN 35024 818 22 from from IN 35024 818 23 1629 1629 CD 35024 818 24 to to IN 35024 818 25 the the DT 35024 818 26 end end NN 35024 818 27 of of IN 35024 818 28 1885 1885 CD 35024 818 29 , , , 35024 818 30 in in IN 35024 818 31 _ _ NNP 35024 818 32 Collection Collection NNP 35024 818 33 de de NNP 35024 818 34 mémoires mémoires NNP 35024 818 35 relatifs relatifs NNP 35024 818 36 a a DT 35024 818 37 la la NNP 35024 818 38 physique physique NNP 35024 818 39 , , , 35024 818 40 publiés publiés NN 35024 818 41 par par NN 35024 818 42 la la NNP 35024 818 43 Société Société NNP 35024 818 44 française française NN 35024 818 45 de de IN 35024 818 46 Physique Physique NNP 35024 818 47 _ _ NNP 35024 818 48 [ [ -LRB- 35024 818 49 hereinafter hereinafter NN 35024 818 50 referred refer VBN 35024 818 51 to to IN 35024 818 52 as as IN 35024 818 53 _ _ NNP 35024 818 54 Collection Collection NNP 35024 818 55 de de NNP 35024 818 56 mémoires mémoires NNP 35024 818 57 _ _ NNP 35024 818 58 ] ] -RRB- 35024 818 59 : : : 35024 818 60 vol vol NNP 35024 818 61 . . . 35024 819 1 4 4 LS 35024 819 2 , , , 35024 819 3 _ _ NNP 35024 819 4 Mémoires Mémoires NNP 35024 819 5 sur sur NNP 35024 819 6 le le NNP 35024 819 7 pendule pendule NNP 35024 819 8 , , , 35024 819 9 précédés précédés NNP 35024 819 10 d'une d'une NNP 35024 819 11 bibliographie bibliographie NNP 35024 819 12 _ _ NNP 35024 819 13 ( ( -LRB- 35024 819 14 Paris Paris NNP 35024 819 15 : : : 35024 819 16 Gauthier Gauthier NNP 35024 819 17 - - HYPH 35024 819 18 Villars Villars NNP 35024 819 19 , , , 35024 819 20 1889 1889 CD 35024 819 21 ) ) -RRB- 35024 819 22 ; ; : 35024 819 23 and and CC 35024 819 24 vol vol NNP 35024 819 25 . . . 35024 820 1 5 5 CD 35024 820 2 , , , 35024 820 3 _ _ NNP 35024 820 4 Mémoires Mémoires NNP 35024 820 5 sur sur NNP 35024 820 6 le le NNP 35024 820 7 pendule pendule NNP 35024 820 8 _ _ NNP 35024 820 9 , , , 35024 820 10 part part NN 35024 820 11 2 2 CD 35024 820 12 ( ( -LRB- 35024 820 13 Paris Paris NNP 35024 820 14 : : : 35024 820 15 Gauthier Gauthier NNP 35024 820 16 - - HYPH 35024 820 17 Villars Villars NNP 35024 820 18 , , , 35024 820 19 1891 1891 CD 35024 820 20 ) ) -RRB- 35024 820 21 . . . 35024 821 1 Important important JJ 35024 821 2 secondary secondary JJ 35024 821 3 sources source NNS 35024 821 4 are be VBP 35024 821 5 : : : 35024 821 6 C. C. NNP 35024 821 7 WOLF WOLF NNP 35024 821 8 , , , 35024 821 9 " " `` 35024 821 10 Introduction introduction NN 35024 821 11 historique historique NN 35024 821 12 , , , 35024 821 13 " " '' 35024 821 14 pp pp NNP 35024 821 15 . . . 35024 822 1 1 1 CD 35024 822 2 - - SYM 35024 822 3 42 42 CD 35024 822 4 in in IN 35024 822 5 vol vol NNP 35024 822 6 . . . 35024 823 1 4 4 LS 35024 823 2 , , , 35024 823 3 above above RB 35024 823 4 ; ; : 35024 823 5 and and CC 35024 823 6 GEORGE GEORGE NNP 35024 823 7 BIDDELL BIDDELL NNP 35024 823 8 AIRY AIRY NNP 35024 823 9 , , , 35024 823 10 " " `` 35024 823 11 Figure figure NN 35024 823 12 of of IN 35024 823 13 the the DT 35024 823 14 Earth Earth NNP 35024 823 15 , , , 35024 823 16 " " '' 35024 823 17 pp pp NNP 35024 823 18 . . . 35024 824 1 165 165 CD 35024 824 2 - - SYM 35024 824 3 240 240 CD 35024 824 4 in in IN 35024 824 5 vol vol NNP 35024 824 6 . . . 35024 825 1 5 5 CD 35024 825 2 of of IN 35024 825 3 _ _ NNP 35024 825 4 Encyclopaedia Encyclopaedia NNP 35024 825 5 metropolitana metropolitana NNP 35024 825 6 _ _ NNP 35024 825 7 ( ( -LRB- 35024 825 8 London London NNP 35024 825 9 , , , 35024 825 10 1845 1845 CD 35024 825 11 ) ) -RRB- 35024 825 12 . . . 35024 826 1 [ [ -LRB- 35024 826 2 2 2 LS 35024 826 3 ] ] -RRB- 35024 826 4 Galileo Galileo NNP 35024 826 5 Galilei Galilei NNP 35024 826 6 's 's POS 35024 826 7 principal principal JJ 35024 826 8 statements statement NNS 35024 826 9 concerning concern VBG 35024 826 10 the the DT 35024 826 11 pendulum pendulum NN 35024 826 12 occur occur VBP 35024 826 13 in in IN 35024 826 14 his -PRON- PRP$ 35024 826 15 _ _ NNP 35024 826 16 Discourses Discourses NNP 35024 826 17 Concerning concern VBG 35024 826 18 Two two CD 35024 826 19 New New NNP 35024 826 20 Sciences Sciences NNPS 35024 826 21 _ _ NNP 35024 826 22 , , , 35024 826 23 transl transl NNP 35024 826 24 . . . 35024 827 1 from from IN 35024 827 2 Italian italian JJ 35024 827 3 and and CC 35024 827 4 Latin Latin NNP 35024 827 5 into into IN 35024 827 6 English English NNP 35024 827 7 by by IN 35024 827 8 Henry Henry NNP 35024 827 9 Crew Crew NNP 35024 827 10 and and CC 35024 827 11 Alfonso Alfonso NNP 35024 827 12 de de NNP 35024 827 13 Salvio Salvio NNP 35024 827 14 ( ( -LRB- 35024 827 15 Evanston Evanston NNP 35024 827 16 : : : 35024 827 17 Northwestern Northwestern NNP 35024 827 18 University University NNP 35024 827 19 Press Press NNP 35024 827 20 , , , 35024 827 21 1939 1939 CD 35024 827 22 ) ) -RRB- 35024 827 23 , , , 35024 827 24 pp pp NNP 35024 827 25 . . . 35024 828 1 95 95 CD 35024 828 2 - - SYM 35024 828 3 97 97 CD 35024 828 4 , , , 35024 828 5 170 170 CD 35024 828 6 - - SYM 35024 828 7 172 172 CD 35024 828 8 . . . 35024 829 1 [ [ -LRB- 35024 829 2 3 3 CD 35024 829 3 ] ] -RRB- 35024 829 4 P. P. NNP 35024 829 5 MARIN MARIN NNP 35024 829 6 MERSENNE MERSENNE NNP 35024 829 7 , , , 35024 829 8 _ _ NNP 35024 829 9 Cogitata Cogitata NNP 35024 829 10 physico physico NN 35024 829 11 - - HYPH 35024 829 12 mathematica mathematica NNP 35024 829 13 _ _ NNP 35024 829 14 ( ( -LRB- 35024 829 15 Paris Paris NNP 35024 829 16 , , , 35024 829 17 1644 1644 CD 35024 829 18 ) ) -RRB- 35024 829 19 , , , 35024 829 20 p. p. NN 35024 829 21 44 44 CD 35024 829 22 . . . 35024 830 1 [ [ -LRB- 35024 830 2 4 4 CD 35024 830 3 ] ] -RRB- 35024 830 4 CHRISTIAAN CHRISTIAAN NNP 35024 830 5 HUYGENS HUYGENS NNP 35024 830 6 , , , 35024 830 7 _ _ NNP 35024 830 8 Horologium Horologium NNP 35024 830 9 oscillatorium oscillatorium NN 35024 830 10 , , , 35024 830 11 sive sive JJ 35024 830 12 de de FW 35024 830 13 motu motu NNP 35024 830 14 pendulorum pendulorum NNP 35024 830 15 ad ad NNP 35024 830 16 horologia horologia NNP 35024 830 17 adaptato adaptato NNP 35024 830 18 demonstrationes demonstrationes NNP 35024 830 19 geometricae geometricae NNP 35024 830 20 _ _ NNP 35024 830 21 ( ( -LRB- 35024 830 22 Paris Paris NNP 35024 830 23 , , , 35024 830 24 1673 1673 CD 35024 830 25 ) ) -RRB- 35024 830 26 , , , 35024 830 27 proposition proposition NN 35024 830 28 20 20 CD 35024 830 29 . . . 35024 831 1 [ [ -LRB- 35024 831 2 5 5 LS 35024 831 3 ] ] -RRB- 35024 831 4 The the DT 35024 831 5 historical historical JJ 35024 831 6 events event NNS 35024 831 7 reported report VBN 35024 831 8 in in IN 35024 831 9 the the DT 35024 831 10 present present JJ 35024 831 11 section section NN 35024 831 12 are be VBP 35024 831 13 from from IN 35024 831 14 AIRY AIRY NNP 35024 831 15 , , , 35024 831 16 " " `` 35024 831 17 Figure figure NN 35024 831 18 of of IN 35024 831 19 the the DT 35024 831 20 Earth Earth NNP 35024 831 21 . . . 35024 831 22 " " '' 35024 832 1 [ [ -LRB- 35024 832 2 6 6 CD 35024 832 3 ] ] -RRB- 35024 832 4 ABBÉ ABBÉ NNP 35024 832 5 JEAN JEAN NNP 35024 832 6 PICARD PICARD NNP 35024 832 7 , , , 35024 832 8 _ _ NNP 35024 832 9 La La NNP 35024 832 10 Mesure Mesure NNP 35024 832 11 de de NNP 35024 832 12 la la NNP 35024 832 13 terre terre NNP 35024 832 14 _ _ NNP 35024 832 15 ( ( -LRB- 35024 832 16 Paris Paris NNP 35024 832 17 , , , 35024 832 18 1671 1671 CD 35024 832 19 ) ) -RRB- 35024 832 20 . . . 35024 833 1 JOHN JOHN NNP 35024 833 2 W. W. NNP 35024 833 3 OLMSTED OLMSTED NNP 35024 833 4 , , , 35024 833 5 " " `` 35024 833 6 The the DT 35024 833 7 ' ' `` 35024 833 8 Application application NN 35024 833 9 ' ' '' 35024 833 10 of of IN 35024 833 11 Telescopes telescope NNS 35024 833 12 to to IN 35024 833 13 Astronomical Astronomical NNP 35024 833 14 Instruments Instruments NNPS 35024 833 15 , , , 35024 833 16 1667 1667 CD 35024 833 17 - - SYM 35024 833 18 1669 1669 CD 35024 833 19 , , , 35024 833 20 " " `` 35024 833 21 _ _ NNP 35024 833 22 Isis Isis NNP 35024 833 23 _ _ NNP 35024 833 24 ( ( -LRB- 35024 833 25 1949 1949 CD 35024 833 26 ) ) -RRB- 35024 833 27 , , , 35024 833 28 vol vol NNP 35024 833 29 . . . 35024 834 1 40 40 CD 35024 834 2 , , , 35024 834 3 p. p. NN 35024 834 4 213 213 CD 35024 834 5 . . . 35024 835 1 [ [ -LRB- 35024 835 2 7 7 LS 35024 835 3 ] ] -RRB- 35024 835 4 The the DT 35024 835 5 toise toise NN 35024 835 6 as as IN 35024 835 7 a a DT 35024 835 8 unit unit NN 35024 835 9 of of IN 35024 835 10 length length NN 35024 835 11 was be VBD 35024 835 12 6 6 CD 35024 835 13 Paris Paris NNP 35024 835 14 feet foot NNS 35024 835 15 or or CC 35024 835 16 about about RB 35024 835 17 1,949 1,949 CD 35024 835 18 millimeters millimeter NNS 35024 835 19 . . . 35024 836 1 [ [ -LRB- 35024 836 2 8 8 CD 35024 836 3 ] ] -RRB- 35024 836 4 JEAN JEAN NNP 35024 836 5 RICHER RICHER NNP 35024 836 6 , , , 35024 836 7 _ _ NNP 35024 836 8 Observations Observations NNP 35024 836 9 astronomiques astronomique VBZ 35024 836 10 et et FW 35024 836 11 physiques physique VBZ 35024 836 12 faites faite VBZ 35024 836 13 en en FW 35024 836 14 l'isle l'isle FW 35024 836 15 de de FW 35024 836 16 Caïenne Caïenne NNP 35024 836 17 _ _ NNP 35024 836 18 ( ( -LRB- 35024 836 19 Paris Paris NNP 35024 836 20 , , , 35024 836 21 1679 1679 CD 35024 836 22 ) ) -RRB- 35024 836 23 . . . 35024 837 1 JOHN JOHN NNP 35024 837 2 W. W. NNP 35024 837 3 OLMSTED OLMSTED NNP 35024 837 4 , , , 35024 837 5 " " `` 35024 837 6 The the DT 35024 837 7 Expedition Expedition NNP 35024 837 8 of of IN 35024 837 9 Jean Jean NNP 35024 837 10 Richer Richer NNP 35024 837 11 to to IN 35024 837 12 Cayenne Cayenne NNP 35024 837 13 1672 1672 CD 35024 837 14 - - SYM 35024 837 15 1673 1673 CD 35024 837 16 , , , 35024 837 17 " " `` 35024 837 18 _ _ NNP 35024 837 19 Isis Isis NNP 35024 837 20 _ _ NNP 35024 837 21 ( ( -LRB- 35024 837 22 1942 1942 CD 35024 837 23 ) ) -RRB- 35024 837 24 , , , 35024 837 25 vol vol NNP 35024 837 26 . . . 35024 838 1 34 34 CD 35024 838 2 , , , 35024 838 3 pp pp NNP 35024 838 4 . . . 35024 839 1 117 117 CD 35024 839 2 - - SYM 35024 839 3 128 128 CD 35024 839 4 . . . 35024 840 1 [ [ -LRB- 35024 840 2 9 9 CD 35024 840 3 ] ] -RRB- 35024 840 4 The the DT 35024 840 5 Paris Paris NNP 35024 840 6 foot foot NN 35024 840 7 was be VBD 35024 840 8 1.066 1.066 CD 35024 840 9 English english JJ 35024 840 10 feet foot NNS 35024 840 11 , , , 35024 840 12 and and CC 35024 840 13 there there EX 35024 840 14 were be VBD 35024 840 15 12 12 CD 35024 840 16 lines line NNS 35024 840 17 to to IN 35024 840 18 the the DT 35024 840 19 inch inch NN 35024 840 20 . . . 35024 841 1 [ [ -LRB- 35024 841 2 10 10 CD 35024 841 3 ] ] -RRB- 35024 841 4 CHRISTIAAN CHRISTIAAN NNP 35024 841 5 HUYGENS HUYGENS NNP 35024 841 6 , , , 35024 841 7 " " `` 35024 841 8 De De NNP 35024 841 9 la la NNP 35024 841 10 cause cause NNP 35024 841 11 de de NNP 35024 841 12 la la NNP 35024 841 13 pesanteur pesanteur NNP 35024 841 14 , , , 35024 841 15 " " '' 35024 841 16 _ _ NNP 35024 841 17 Divers Divers NNP 35024 841 18 ouvrages ouvrage VBZ 35024 841 19 de de NNP 35024 841 20 mathématiques[mathematiques mathématiques[mathematiques NNP 35024 841 21 ] ] -RRB- 35024 841 22 et et FW 35024 841 23 de de FW 35024 841 24 physique physique NNP 35024 841 25 par par NNP 35024 841 26 MM MM NNP 35024 841 27 . . . 35024 842 1 de de NNP 35024 842 2 l'Académie l'Académie NNP 35024 842 3 Royale[Royal royale[royal NN 35024 842 4 ] ] -RRB- 35024 842 5 des des NNP 35024 842 6 Sciences Sciences NNPS 35024 842 7 _ _ NNP 35024 842 8 ( ( -LRB- 35024 842 9 Paris Paris NNP 35024 842 10 , , , 35024 842 11 1693 1693 CD 35024 842 12 ) ) -RRB- 35024 842 13 , , , 35024 842 14 p. p. NN 35024 842 15 305 305 CD 35024 842 16 . . . 35024 843 1 [ [ -LRB- 35024 843 2 11 11 CD 35024 843 3 ] ] -RRB- 35024 843 4 ISAAC ISAAC NNP 35024 843 5 NEWTON NEWTON NNP 35024 843 6 , , , 35024 843 7 _ _ NNP 35024 843 8 Philosophiae Philosophiae NNP 35024 843 9 naturalis naturalis NNP 35024 843 10 principia principia NNP 35024 843 11 mathematica mathematica NNP 35024 843 12 _ _ NNP 35024 843 13 ( ( -LRB- 35024 843 14 London London NNP 35024 843 15 , , , 35024 843 16 1687 1687 CD 35024 843 17 ) ) -RRB- 35024 843 18 , , , 35024 843 19 vol vol NNP 35024 843 20 . . . 35024 844 1 3 3 LS 35024 844 2 , , , 35024 844 3 propositions proposition VBZ 35024 844 4 18 18 CD 35024 844 5 - - SYM 35024 844 6 20 20 CD 35024 844 7 . . . 35024 845 1 [ [ -LRB- 35024 845 2 12 12 CD 35024 845 3 ] ] -RRB- 35024 845 4 PIERRE pierre NN 35024 845 5 BOUGUER BOUGUER NNP 35024 845 6 , , , 35024 845 7 _ _ NNP 35024 845 8 La La NNP 35024 845 9 figure figure NN 35024 845 10 de de FW 35024 845 11 la la NNP 35024 845 12 terre terre NNP 35024 845 13 , , , 35024 845 14 déterminée déterminée NNP 35024 845 15 par par IN 35024 845 16 les les FW 35024 845 17 observations observation NNS 35024 845 18 de de IN 35024 845 19 Messieurs Messieurs NNP 35024 845 20 Bouguer Bouguer NNP 35024 845 21 et et FW 35024 845 22 de de FW 35024 845 23 La La NNP 35024 845 24 Condamine Condamine NNP 35024 845 25 , , , 35024 845 26 envoyés envoyés NNP 35024 845 27 par par IN 35024 845 28 ordre ordre NNP 35024 845 29 du du NNP 35024 845 30 Roy Roy NNP 35024 845 31 au au NNP 35024 845 32 Pérou Pérou NNP 35024 845 33 , , , 35024 845 34 pour pour VBP 35024 845 35 observer observer NNP 35024 845 36 aux aux NNP 35024 845 37 environs environs NNP 35024 845 38 de de FW 35024 845 39 l'equateur l'equateur FW 35024 845 40 _ _ NNP 35024 845 41 ( ( -LRB- 35024 845 42 Paris Paris NNP 35024 845 43 , , , 35024 845 44 1749 1749 CD 35024 845 45 ) ) -RRB- 35024 845 46 . . . 35024 846 1 [ [ -LRB- 35024 846 2 13 13 CD 35024 846 3 ] ] -RRB- 35024 846 4 P. P. NNP 35024 846 5 L. L. NNP 35024 846 6 MOREAU MOREAU NNP 35024 846 7 DE DE NNP 35024 846 8 MAUPERTUIS MAUPERTUIS NNP 35024 846 9 , , , 35024 846 10 _ _ NNP 35024 846 11 La La NNP 35024 846 12 figure figure NN 35024 846 13 de de FW 35024 846 14 la la NNP 35024 846 15 terre terre NNP 35024 846 16 déterminée déterminée NNP 35024 846 17 par par IN 35024 846 18 les les FW 35024 846 19 observations observation NNS 35024 846 20 de de IN 35024 846 21 Messieurs Messieurs NNP 35024 846 22 de de NNP 35024 846 23 Maupertuis Maupertuis NNP 35024 846 24 , , , 35024 846 25 Clairaut Clairaut NNP 35024 846 26 , , , 35024 846 27 Camus Camus NNP 35024 846 28 , , , 35024 846 29 Le Le NNP 35024 846 30 Monnier Monnier NNP 35024 846 31 , , , 35024 846 32 l'Abbé l'Abbé NNP 35024 846 33 Outhier Outhier NNP 35024 846 34 et et NNP 35024 846 35 Celsius Celsius NNP 35024 846 36 , , , 35024 846 37 faites faite VBZ 35024 846 38 par par IN 35024 846 39 ordre ordre NNP 35024 846 40 du du NNP 35024 846 41 Roy Roy NNP 35024 846 42 au au NNP 35024 846 43 cercle cercle NN 35024 846 44 polaire polaire NN 35024 846 45 _ _ NNP 35024 846 46 ( ( -LRB- 35024 846 47 Paris Paris NNP 35024 846 48 , , , 35024 846 49 1738 1738 CD 35024 846 50 ) ) -RRB- 35024 846 51 . . . 35024 847 1 [ [ -LRB- 35024 847 2 14 14 CD 35024 847 3 ] ] -RRB- 35024 847 4 Paris Paris NNP 35024 847 5 , , , 35024 847 6 1743 1743 CD 35024 847 7 . . . 35024 848 1 [ [ -LRB- 35024 848 2 15 15 CD 35024 848 3 ] ] -RRB- 35024 848 4 GEORGE GEORGE NNP 35024 848 5 GABRIEL GABRIEL NNP 35024 848 6 STOKES stoke NNS 35024 848 7 , , , 35024 848 8 " " '' 35024 848 9 On on IN 35024 848 10 Attraction Attraction NNP 35024 848 11 and and CC 35024 848 12 on on IN 35024 848 13 Clairaut Clairaut NNP 35024 848 14 's 's POS 35024 848 15 Theorem Theorem NNP 35024 848 16 , , , 35024 848 17 " " '' 35024 848 18 _ _ NNP 35024 848 19 Cambridge Cambridge NNP 35024 848 20 and and CC 35024 848 21 Dublin Dublin NNP 35024 848 22 Mathematical Mathematical NNP 35024 848 23 Journal Journal NNP 35024 848 24 _ _ NNP 35024 848 25 ( ( -LRB- 35024 848 26 1849 1849 CD 35024 848 27 ) ) -RRB- 35024 848 28 , , , 35024 848 29 vol vol NNP 35024 848 30 . . . 35024 849 1 4 4 CD 35024 849 2 , , , 35024 849 3 p. p. NN 35024 849 4 194 194 CD 35024 849 5 . . . 35024 850 1 [ [ -LRB- 35024 850 2 16 16 CD 35024 850 3 ] ] -RRB- 35024 850 4 See see VB 35024 850 5 _ _ NNP 35024 850 6 Collection Collection NNP 35024 850 7 de de NNP 35024 850 8 mémoires mémoires NNP 35024 850 9 _ _ NNP 35024 850 10 , , , 35024 850 11 vol vol NNP 35024 850 12 . . . 35024 851 1 4 4 CD 35024 851 2 , , , 35024 851 3 p. p. NN 35024 851 4 B-34 b-34 CD 35024 851 5 , , , 35024 851 6 and and CC 35024 851 7 J. J. NNP 35024 851 8 H. H. NNP 35024 851 9 POYNTING POYNTING NNP 35024 851 10 and and CC 35024 851 11 SIR SIR NNP 35024 851 12 J. J. NNP 35024 851 13 J. J. NNP 35024 851 14 THOMSON THOMSON NNP 35024 851 15 , , , 35024 851 16 _ _ NNP 35024 851 17 Properties Properties NNP 35024 851 18 of of IN 35024 851 19 Matter Matter NNP 35024 851 20 _ _ NNP 35024 851 21 ( ( -LRB- 35024 851 22 London London NNP 35024 851 23 , , , 35024 851 24 1927 1927 CD 35024 851 25 ) ) -RRB- 35024 851 26 , , , 35024 851 27 p. p. NN 35024 851 28 24 24 CD 35024 851 29 . . . 35024 852 1 [ [ -LRB- 35024 852 2 17 17 CD 35024 852 3 ] ] -RRB- 35024 852 4 POYNTING poynting NN 35024 852 5 and and CC 35024 852 6 THOMSON THOMSON NNP 35024 852 7 , , , 35024 852 8 ibid ibid NNP 35024 852 9 . . . 35024 852 10 , , , 35024 852 11 p. p. NN 35024 852 12 22 22 CD 35024 852 13 . . . 35024 853 1 [ [ -LRB- 35024 853 2 18 18 CD 35024 853 3 ] ] -RRB- 35024 853 4 CHARLES CHARLES NNP 35024 853 5 M. M. NNP 35024 853 6 DE DE NNP 35024 853 7 LA LA NNP 35024 853 8 CONDAMINE CONDAMINE NNP 35024 853 9 , , , 35024 853 10 " " `` 35024 853 11 De De NNP 35024 853 12 la la NNP 35024 853 13 mesure mesure NNP 35024 853 14 du du NNP 35024 853 15 pendule pendule NNP 35024 853 16 à à NNP 35024 853 17 Saint Saint NNP 35024 853 18 Domingue Domingue NNP 35024 853 19 , , , 35024 853 20 " " '' 35024 853 21 _ _ NNP 35024 853 22 Collection Collection NNP 35024 853 23 de de NNP 35024 853 24 mémoires mémoires NNP 35024 853 25 _ _ NNP 35024 853 26 , , , 35024 853 27 vol vol NNP 35024 853 28 . . . 35024 854 1 4 4 LS 35024 854 2 , , , 35024 854 3 pp pp NNP 35024 854 4 . . . 35024 855 1 3 3 CD 35024 855 2 - - SYM 35024 855 3 16 16 CD 35024 855 4 . . . 35024 856 1 [ [ -LRB- 35024 856 2 19 19 CD 35024 856 3 ] ] -RRB- 35024 856 4 PÈRE PÈRE NNP 35024 856 5 R. R. NNP 35024 856 6 J. J. NNP 35024 856 7 BOSCOVICH BOSCOVICH NNP 35024 856 8 , , , 35024 856 9 _ _ NNP 35024 856 10 Opera Opera NNP 35024 856 11 pertinentia pertinentia NN 35024 856 12 ad ad NN 35024 856 13 Opticam Opticam NNP 35024 856 14 et et FW 35024 856 15 Astronomiam Astronomiam NNP 35024 856 16 _ _ NNP 35024 856 17 ( ( -LRB- 35024 856 18 Bassani Bassani NNP 35024 856 19 , , , 35024 856 20 1785 1785 CD 35024 856 21 ) ) -RRB- 35024 856 22 , , , 35024 856 23 vol vol NNP 35024 856 24 . . . 35024 857 1 5 5 CD 35024 857 2 , , , 35024 857 3 no no UH 35024 857 4 . . . 35024 858 1 3 3 LS 35024 858 2 . . . 35024 859 1 [ [ -LRB- 35024 859 2 20 20 CD 35024 859 3 ] ] -RRB- 35024 859 4 J. J. NNP 35024 859 5 C. C. NNP 35024 859 6 BORDA BORDA NNP 35024 859 7 and and CC 35024 859 8 J. J. NNP 35024 859 9 D. D. NNP 35024 859 10 CASSINI CASSINI NNP 35024 859 11 DE DE NNP 35024 859 12 THURY THURY NNP 35024 859 13 , , , 35024 859 14 " " `` 35024 859 15 Expériences expérience NNS 35024 859 16 pour pour VBP 35024 859 17 connaître connaître NNP 35024 859 18 la la NNP 35024 859 19 longueur longueur NNP 35024 859 20 du du NNP 35024 859 21 pendule pendule NNP 35024 859 22 qui qui NNP 35024 859 23 bat bat NN 35024 859 24 les les NNP 35024 859 25 secondes second VBZ 35024 859 26 à à NNP 35024 859 27 Paris Paris NNP 35024 859 28 , , , 35024 859 29 " " '' 35024 859 30 _ _ NNP 35024 859 31 Collection Collection NNP 35024 859 32 de de NNP 35024 859 33 mémoires mémoires NNP 35024 859 34 _ _ NNP 35024 859 35 , , , 35024 859 36 vol vol NNP 35024 859 37 . . . 35024 860 1 4 4 LS 35024 860 2 , , , 35024 860 3 pp pp NNP 35024 860 4 . . . 35024 861 1 17 17 CD 35024 861 2 - - SYM 35024 861 3 64 64 CD 35024 861 4 . . . 35024 862 1 [ [ -LRB- 35024 862 2 21 21 CD 35024 862 3 ] ] -RRB- 35024 862 4 F. F. NNP 35024 862 5 W. W. NNP 35024 862 6 BESSEL BESSEL NNP 35024 862 7 , , , 35024 862 8 " " '' 35024 862 9 Untersuchungen Untersuchungen NNP 35024 862 10 über über NN 35024 862 11 die die VBP 35024 862 12 Länge Länge NNP 35024 862 13 des des NNP 35024 862 14 einfachen einfachen NNP 35024 862 15 Secundenpendels Secundenpendels NNPS 35024 862 16 , , , 35024 862 17 " " `` 35024 862 18 _ _ NNP 35024 862 19 Abhandlungen Abhandlungen NNP 35024 862 20 der der NN 35024 862 21 Königlichen Königlichen NNP 35024 862 22 Akademie Akademie NNP 35024 862 23 der der VB 35024 862 24 Wissenschaften Wissenschaften NNP 35024 862 25 zu zu FW 35024 862 26 Berlin Berlin NNP 35024 862 27 , , , 35024 862 28 1826 1826 CD 35024 862 29 _ _ NNP 35024 862 30 ( ( -LRB- 35024 862 31 Berlin Berlin NNP 35024 862 32 , , , 35024 862 33 1828 1828 CD 35024 862 34 ) ) -RRB- 35024 862 35 . . . 35024 863 1 [ [ -LRB- 35024 863 2 22 22 CD 35024 863 3 ] ] -RRB- 35024 863 4 Bessel Bessel NNP 35024 863 5 used use VBD 35024 863 6 as as IN 35024 863 7 a a DT 35024 863 8 standard standard NN 35024 863 9 of of IN 35024 863 10 length length NN 35024 863 11 a a DT 35024 863 12 toise toise NN 35024 863 13 which which WDT 35024 863 14 had have VBD 35024 863 15 been be VBN 35024 863 16 made make VBN 35024 863 17 by by IN 35024 863 18 Fortin Fortin NNP 35024 863 19 in in IN 35024 863 20 Paris Paris NNP 35024 863 21 and and CC 35024 863 22 had have VBD 35024 863 23 been be VBN 35024 863 24 compared compare VBN 35024 863 25 with with IN 35024 863 26 the the DT 35024 863 27 original original NN 35024 863 28 of of IN 35024 863 29 the the DT 35024 863 30 " " `` 35024 863 31 toise toise NNP 35024 863 32 de de FW 35024 863 33 Peru Peru NNP 35024 863 34 " " '' 35024 863 35 by by IN 35024 863 36 Arago Arago NNP 35024 863 37 . . . 35024 864 1 [ [ -LRB- 35024 864 2 23 23 CD 35024 864 3 ] ] -RRB- 35024 864 4 L. L. NNP 35024 864 5 G. G. NNP 35024 864 6 DU DU NNP 35024 864 7 BUAT BUAT NNP 35024 864 8 , , , 35024 864 9 _ _ NNP 35024 864 10 Principes Principes NNP 35024 864 11 d'hydraulique d'hydraulique NNP 35024 864 12 _ _ NNP 35024 864 13 ( ( -LRB- 35024 864 14 Paris Paris NNP 35024 864 15 , , , 35024 864 16 1786 1786 CD 35024 864 17 ) ) -RRB- 35024 864 18 . . . 35024 865 1 See see VB 35024 865 2 excerpts excerpt NNS 35024 865 3 in in IN 35024 865 4 _ _ NNP 35024 865 5 Collection Collection NNP 35024 865 6 de de NNP 35024 865 7 mémoires mémoires NNP 35024 865 8 _ _ NNP 35024 865 9 , , , 35024 865 10 pp pp NNP 35024 865 11 . . . 35024 866 1 B-64 b-64 CD 35024 866 2 to to IN 35024 866 3 B-67 b-67 CD 35024 866 4 . . . 35024 867 1 [ [ -LRB- 35024 867 2 24 24 CD 35024 867 3 ] ] -RRB- 35024 867 4 CAPT capt NN 35024 867 5 . . . 35024 868 1 HENRY HENRY NNP 35024 868 2 KATER KATER NNP 35024 868 3 , , , 35024 868 4 " " '' 35024 868 5 An an DT 35024 868 6 Account Account NNP 35024 868 7 of of IN 35024 868 8 Experiments Experiments NNPS 35024 868 9 for for IN 35024 868 10 Determining determine VBG 35024 868 11 the the DT 35024 868 12 Length Length NNP 35024 868 13 of of IN 35024 868 14 the the DT 35024 868 15 Pendulum Pendulum NNP 35024 868 16 Vibrating Vibrating NNP 35024 868 17 Seconds Seconds NNPS 35024 868 18 in in IN 35024 868 19 the the DT 35024 868 20 Latitude Latitude NNP 35024 868 21 of of IN 35024 868 22 London London NNP 35024 868 23 , , , 35024 868 24 " " `` 35024 868 25 _ _ NNP 35024 868 26 Philosophical Philosophical NNP 35024 868 27 Transactions Transactions NNPS 35024 868 28 of of IN 35024 868 29 the the DT 35024 868 30 Royal Royal NNP 35024 868 31 Society Society NNP 35024 868 32 of of IN 35024 868 33 London London NNP 35024 868 34 _ _ NNP 35024 868 35 ( ( -LRB- 35024 868 36 1818 1818 CD 35024 868 37 ) ) -RRB- 35024 868 38 , , , 35024 868 39 vol vol NNP 35024 868 40 . . . 35024 869 1 108 108 CD 35024 869 2 , , , 35024 869 3 p. p. NN 35024 869 4 33 33 CD 35024 869 5 . . . 35024 870 1 [ [ -LRB- 35024 870 2 Hereinafter Hereinafter NNP 35024 870 3 abbreviated abbreviate VBD 35024 870 4 _ _ NNP 35024 870 5 Phil Phil NNP 35024 870 6 . . . 35024 871 1 Trans Trans NNPS 35024 871 2 . . . 35024 871 3 _ _ NNP 35024 871 4 ] ] -RRB- 35024 871 5 [ [ -LRB- 35024 871 6 25 25 CD 35024 871 7 ] ] -RRB- 35024 871 8 M. M. NNP 35024 871 9 G. G. NNP 35024 871 10 DE DE NNP 35024 871 11 PRONY PRONY NNP 35024 871 12 , , , 35024 871 13 " " '' 35024 871 14 Méthode Méthode NNP 35024 871 15 pour pour NNP 35024 871 16 déterminer déterminer NNP 35024 871 17 la la NNP 35024 871 18 longueur longueur NNP 35024 871 19 du du NNP 35024 871 20 pendule pendule VB 35024 871 21 simple simple JJ 35024 871 22 qui qui NNP 35024 871 23 bat bat NN 35024 871 24 les les NN 35024 871 25 secondes seconde NNS 35024 871 26 , , , 35024 871 27 " " '' 35024 871 28 _ _ NNP 35024 871 29 Collection Collection NNP 35024 871 30 de de NNP 35024 871 31 mémoires mémoires NNP 35024 871 32 _ _ NNP 35024 871 33 , , , 35024 871 34 vol vol NNP 35024 871 35 . . . 35024 872 1 4 4 LS 35024 872 2 , , , 35024 872 3 pp pp NNP 35024 872 4 . . . 35024 873 1 65 65 CD 35024 873 2 - - SYM 35024 873 3 76 76 CD 35024 873 4 . . . 35024 874 1 [ [ -LRB- 35024 874 2 26 26 CD 35024 874 3 ] ] -RRB- 35024 874 4 _ _ NNP 35024 874 5 Collection Collection NNP 35024 874 6 de de NNP 35024 874 7 mémoires mémoires NNP 35024 874 8 _ _ NNP 35024 874 9 , , , 35024 874 10 vol vol NNP 35024 874 11 . . . 35024 875 1 4 4 LS 35024 875 2 , , , 35024 875 3 p. p. NN 35024 875 4 B-74 b-74 CD 35024 875 5 . . . 35024 876 1 [ [ -LRB- 35024 876 2 27 27 CD 35024 876 3 ] ] -RRB- 35024 876 4 _ _ NNP 35024 876 5 Phil Phil NNP 35024 876 6 . . . 35024 877 1 Trans Trans NNPS 35024 877 2 . . . 35024 877 3 _ _ NNP 35024 877 4 ( ( -LRB- 35024 877 5 1819 1819 CD 35024 877 6 ) ) -RRB- 35024 877 7 , , , 35024 877 8 vol vol NNP 35024 877 9 . . . 35024 878 1 109 109 CD 35024 878 2 , , , 35024 878 3 p. p. NN 35024 878 4 337 337 CD 35024 878 5 . . . 35024 879 1 [ [ -LRB- 35024 879 2 28 28 CD 35024 879 3 ] ] -RRB- 35024 879 4 JOHN JOHN NNP 35024 879 5 HERSCHEL HERSCHEL NNP 35024 879 6 , , , 35024 879 7 " " `` 35024 879 8 Notes note NNS 35024 879 9 for for IN 35024 879 10 a a DT 35024 879 11 History history NN 35024 879 12 of of IN 35024 879 13 the the DT 35024 879 14 Use Use NNP 35024 879 15 of of IN 35024 879 16 Invariable Invariable NNP 35024 879 17 Pendulums Pendulums NNP 35024 879 18 , , , 35024 879 19 " " '' 35024 879 20 _ _ NNP 35024 879 21 The the DT 35024 879 22 Great Great NNP 35024 879 23 Trigonometrical Trigonometrical NNP 35024 879 24 Survey Survey NNP 35024 879 25 of of IN 35024 879 26 India India NNP 35024 879 27 _ _ NNP 35024 879 28 ( ( -LRB- 35024 879 29 Calcutta Calcutta NNP 35024 879 30 , , , 35024 879 31 1879 1879 CD 35024 879 32 ) ) -RRB- 35024 879 33 , , , 35024 879 34 vol vol NNP 35024 879 35 . . . 35024 880 1 5 5 CD 35024 880 2 . . . 35024 881 1 [ [ -LRB- 35024 881 2 29 29 CD 35024 881 3 ] ] -RRB- 35024 881 4 CAPT capt NN 35024 881 5 . . . 35024 882 1 EDWARD EDWARD NNP 35024 882 2 SABINE SABINE NNP 35024 882 3 , , , 35024 882 4 " " `` 35024 882 5 An an DT 35024 882 6 Account Account NNP 35024 882 7 of of IN 35024 882 8 Experiments Experiments NNPS 35024 882 9 to to TO 35024 882 10 Determine determine VB 35024 882 11 the the DT 35024 882 12 Figure figure NN 35024 882 13 of of IN 35024 882 14 the the DT 35024 882 15 Earth Earth NNP 35024 882 16 , , , 35024 882 17 " " '' 35024 882 18 _ _ NNP 35024 882 19 Phil Phil NNP 35024 882 20 . . . 35024 883 1 Trans Trans NNPS 35024 883 2 . . . 35024 883 3 _ _ NNP 35024 883 4 ( ( -LRB- 35024 883 5 1828 1828 CD 35024 883 6 ) ) -RRB- 35024 883 7 , , , 35024 883 8 vol vol NNP 35024 883 9 . . . 35024 884 1 118 118 CD 35024 884 2 , , , 35024 884 3 p. p. NN 35024 884 4 76 76 CD 35024 884 5 . . . 35024 885 1 [ [ -LRB- 35024 885 2 30 30 CD 35024 885 3 ] ] -RRB- 35024 885 4 JOHN JOHN NNP 35024 885 5 GOLDINGHAM GOLDINGHAM NNP 35024 885 6 , , , 35024 885 7 " " `` 35024 885 8 Observations observation NNS 35024 885 9 for for IN 35024 885 10 Ascertaining ascertain VBG 35024 885 11 the the DT 35024 885 12 Length Length NNP 35024 885 13 of of IN 35024 885 14 the the DT 35024 885 15 Pendulum Pendulum NNP 35024 885 16 at at IN 35024 885 17 Madras Madras NNPS 35024 885 18 in in IN 35024 885 19 the the DT 35024 885 20 East East NNP 35024 885 21 Indies Indies NNPS 35024 885 22 , , , 35024 885 23 " " '' 35024 885 24 _ _ NNP 35024 885 25 Phil Phil NNP 35024 885 26 . . . 35024 886 1 Trans Trans NNPS 35024 886 2 . . . 35024 886 3 _ _ NNP 35024 886 4 ( ( -LRB- 35024 886 5 1822 1822 CD 35024 886 6 ) ) -RRB- 35024 886 7 , , , 35024 886 8 vol vol NNP 35024 886 9 . . . 35024 887 1 112 112 CD 35024 887 2 , , , 35024 887 3 p. p. NN 35024 887 4 127 127 CD 35024 887 5 . . . 35024 888 1 [ [ -LRB- 35024 888 2 31 31 CD 35024 888 3 ] ] -RRB- 35024 888 4 BASIL BASIL NNP 35024 888 5 HALL HALL NNP 35024 888 6 , , , 35024 888 7 " " '' 35024 888 8 Letter letter NN 35024 888 9 to to IN 35024 888 10 Captain Captain NNP 35024 888 11 Kater Kater NNP 35024 888 12 Communicating communicate VBG 35024 888 13 the the DT 35024 888 14 Details detail NNS 35024 888 15 of of IN 35024 888 16 Experiments Experiments NNPS 35024 888 17 made make VBN 35024 888 18 by by IN 35024 888 19 him -PRON- PRP 35024 888 20 and and CC 35024 888 21 Mr. Mr. NNP 35024 888 22 Henry Henry NNP 35024 888 23 Foster Foster NNP 35024 888 24 with with IN 35024 888 25 an an DT 35024 888 26 Invariable Invariable NNP 35024 888 27 Pendulum Pendulum NNP 35024 888 28 , , , 35024 888 29 " " '' 35024 888 30 _ _ NNP 35024 888 31 Phil Phil NNP 35024 888 32 . . . 35024 889 1 Trans Trans NNPS 35024 889 2 . . . 35024 889 3 _ _ NNP 35024 889 4 ( ( -LRB- 35024 889 5 1823 1823 CD 35024 889 6 ) ) -RRB- 35024 889 7 , , , 35024 889 8 vol vol NNP 35024 889 9 . . . 35024 890 1 113 113 CD 35024 890 2 , , , 35024 890 3 p. p. NN 35024 890 4 211 211 CD 35024 890 5 . . . 35024 891 1 [ [ -LRB- 35024 891 2 32 32 CD 35024 891 3 ] ] -RRB- 35024 891 4 See See NNP 35024 891 5 _ _ NNP 35024 891 6 Collection Collection NNP 35024 891 7 de de NNP 35024 891 8 mémoires mémoires NNP 35024 891 9 _ _ NNP 35024 891 10 , , , 35024 891 11 vol vol NNP 35024 891 12 . . . 35024 892 1 4 4 LS 35024 892 2 , , , 35024 892 3 p. p. NN 35024 892 4 B-103 B-103 NNP 35024 892 5 . . . 35024 893 1 [ [ -LRB- 35024 893 2 33 33 CD 35024 893 3 ] ] -RRB- 35024 893 4 Ibid Ibid NNP 35024 893 5 . . . 35024 893 6 , , , 35024 893 7 p. p. NN 35024 893 8 B-88 b-88 CD 35024 893 9 . . . 35024 894 1 [ [ -LRB- 35024 894 2 34 34 CD 35024 894 3 ] ] -RRB- 35024 894 4 Ibid Ibid NNP 35024 894 5 . . . 35024 894 6 , , , 35024 894 7 p. p. NN 35024 894 8 B-94 b-94 CD 35024 894 9 . . . 35024 895 1 [ [ -LRB- 35024 895 2 35 35 CD 35024 895 3 ] ] -RRB- 35024 895 4 FRANCIS franci VBN 35024 895 5 BAILY baily NN 35024 895 6 , , , 35024 895 7 " " '' 35024 895 8 On on IN 35024 895 9 the the DT 35024 895 10 Correction Correction NNP 35024 895 11 of of IN 35024 895 12 a a DT 35024 895 13 Pendulum Pendulum NNP 35024 895 14 for for IN 35024 895 15 the the DT 35024 895 16 Reduction reduction NN 35024 895 17 to to IN 35024 895 18 a a DT 35024 895 19 Vacuum Vacuum NNP 35024 895 20 , , , 35024 895 21 Together together RB 35024 895 22 with with IN 35024 895 23 Remarks Remarks NNPS 35024 895 24 on on IN 35024 895 25 Some some DT 35024 895 26 Anomalies anomaly NNS 35024 895 27 Observed observe VBN 35024 895 28 in in IN 35024 895 29 Pendulum Pendulum NNP 35024 895 30 Experiments Experiments NNPS 35024 895 31 , , , 35024 895 32 " " '' 35024 895 33 _ _ NNP 35024 895 34 Phil Phil NNP 35024 895 35 . . . 35024 896 1 Trans Trans NNPS 35024 896 2 . . . 35024 896 3 _ _ NNP 35024 896 4 ( ( -LRB- 35024 896 5 1832 1832 CD 35024 896 6 ) ) -RRB- 35024 896 7 , , , 35024 896 8 vol vol NNP 35024 896 9 . . . 35024 897 1 122 122 CD 35024 897 2 , , , 35024 897 3 pp pp NNP 35024 897 4 . . . 35024 898 1 399 399 CD 35024 898 2 - - SYM 35024 898 3 492 492 CD 35024 898 4 . . . 35024 899 1 See see VB 35024 899 2 also also RB 35024 899 3 _ _ NNP 35024 899 4 Collection Collection NNP 35024 899 5 de de NNP 35024 899 6 mémoires mémoires NNP 35024 899 7 _ _ NNP 35024 899 8 , , , 35024 899 9 vol vol NNP 35024 899 10 . . . 35024 900 1 4 4 LS 35024 900 2 , , , 35024 900 3 pp pp NNP 35024 900 4 . . . 35024 901 1 B-105 B-105 NNP 35024 901 2 , , , 35024 901 3 B-112 B-112 NNP 35024 901 4 , , , 35024 901 5 B-115 B-115 NNP 35024 901 6 , , , 35024 901 7 B-116 B-116 NNP 35024 901 8 , , , 35024 901 9 and and CC 35024 901 10 B-117 B-117 NNP 35024 901 11 . . . 35024 902 1 [ [ -LRB- 35024 902 2 36 36 CD 35024 902 3 ] ] -RRB- 35024 902 4 One one CD 35024 902 5 was be VBD 35024 902 6 of of IN 35024 902 7 case case NN 35024 902 8 brass brass NN 35024 902 9 and and CC 35024 902 10 the the DT 35024 902 11 other other JJ 35024 902 12 of of IN 35024 902 13 rolled roll VBN 35024 902 14 iron iron NN 35024 902 15 , , , 35024 902 16 68 68 CD 35024 902 17 in in IN 35024 902 18 . . . 35024 903 1 long long RB 35024 903 2 , , , 35024 903 3 2 2 CD 35024 903 4 in in IN 35024 903 5 . . . 35024 904 1 wide wide JJ 35024 904 2 , , , 35024 904 3 and and CC 35024 904 4 1/2 1/2 CD 35024 904 5 in in IN 35024 904 6 . . . 35024 905 1 thick thick JJ 35024 905 2 . . . 35024 906 1 Triangular triangular JJ 35024 906 2 knife knife NN 35024 906 3 edges edge VBZ 35024 906 4 2 2 CD 35024 906 5 in in IN 35024 906 6 . . . 35024 907 1 long long RB 35024 907 2 were be VBD 35024 907 3 inserted insert VBN 35024 907 4 through through IN 35024 907 5 triangular triangular NN 35024 907 6 apertures aperture VBZ 35024 907 7 19.7 19.7 CD 35024 907 8 in in IN 35024 907 9 . . . 35024 908 1 from from IN 35024 908 2 the the DT 35024 908 3 center center NN 35024 908 4 towards towards IN 35024 908 5 each each DT 35024 908 6 end end NN 35024 908 7 . . . 35024 909 1 These these DT 35024 909 2 pendulums pendulum NNS 35024 909 3 seem seem VBP 35024 909 4 not not RB 35024 909 5 to to TO 35024 909 6 have have VB 35024 909 7 survived survive VBN 35024 909 8 . . . 35024 910 1 There there EX 35024 910 2 is be VBZ 35024 910 3 , , , 35024 910 4 however however RB 35024 910 5 , , , 35024 910 6 in in IN 35024 910 7 the the DT 35024 910 8 collection collection NN 35024 910 9 of of IN 35024 910 10 the the DT 35024 910 11 U.S. U.S. NNP 35024 910 12 National National NNP 35024 910 13 Museum Museum NNP 35024 910 14 , , , 35024 910 15 a a DT 35024 910 16 similar similar JJ 35024 910 17 brass brass NN 35024 910 18 pendulum pendulum NN 35024 910 19 , , , 35024 910 20 37 37 CD 35024 910 21 - - SYM 35024 910 22 5/8 5/8 CD 35024 910 23 in in IN 35024 910 24 . . . 35024 911 1 long long RB 35024 911 2 ( ( -LRB- 35024 911 3 fig fig NN 35024 911 4 . . . 35024 912 1 15 15 LS 35024 912 2 ) ) -RRB- 35024 912 3 stamped stamp VBD 35024 912 4 with with IN 35024 912 5 the the DT 35024 912 6 name name NN 35024 912 7 of of IN 35024 912 8 Edward Edward NNP 35024 912 9 Kübel Kübel NNP 35024 912 10 ( ( -LRB- 35024 912 11 1820 1820 CD 35024 912 12 - - SYM 35024 912 13 96 96 CD 35024 912 14 ) ) -RRB- 35024 912 15 , , , 35024 912 16 who who WP 35024 912 17 maintained maintain VBD 35024 912 18 an an DT 35024 912 19 instrument instrument NN 35024 912 20 business business NN 35024 912 21 in in IN 35024 912 22 Washington Washington NNP 35024 912 23 , , , 35024 912 24 D.C. D.C. NNP 35024 912 25 , , , 35024 912 26 from from IN 35024 912 27 about about IN 35024 912 28 1849 1849 CD 35024 912 29 . . . 35024 913 1 The the DT 35024 913 2 history history NN 35024 913 3 of of IN 35024 913 4 this this DT 35024 913 5 instrument instrument NN 35024 913 6 is be VBZ 35024 913 7 unknown unknown JJ 35024 913 8 . . . 35024 914 1 [ [ -LRB- 35024 914 2 37 37 CD 35024 914 3 ] ] -RRB- 35024 914 4 See see VB 35024 914 5 Baily Baily NNP 35024 914 6 's 's POS 35024 914 7 remarks remark NNS 35024 914 8 in in IN 35024 914 9 the the DT 35024 914 10 _ _ NNP 35024 914 11 Monthly Monthly NNP 35024 914 12 Notices Notices NNP 35024 914 13 of of IN 35024 914 14 the the DT 35024 914 15 Royal Royal NNP 35024 914 16 Astronomical Astronomical NNP 35024 914 17 Society Society NNP 35024 914 18 _ _ NNP 35024 914 19 ( ( -LRB- 35024 914 20 1839 1839 CD 35024 914 21 ) ) -RRB- 35024 914 22 , , , 35024 914 23 vol vol NNP 35024 914 24 . . . 35024 915 1 4 4 LS 35024 915 2 , , , 35024 915 3 pp pp NNP 35024 915 4 . . . 35024 916 1 141 141 CD 35024 916 2 - - SYM 35024 916 3 143 143 CD 35024 916 4 . . . 35024 917 1 See see VB 35024 917 2 also also RB 35024 917 3 letters letter NNS 35024 917 4 mentioned mention VBN 35024 917 5 in in IN 35024 917 6 footnote footnote NNP 35024 917 7 38 38 CD 35024 917 8 . . . 35024 918 1 [ [ -LRB- 35024 918 2 38 38 CD 35024 918 3 ] ] -RRB- 35024 918 4 This this DT 35024 918 5 document document NN 35024 918 6 , , , 35024 918 7 together together RB 35024 918 8 with with IN 35024 918 9 certain certain JJ 35024 918 10 manuscript manuscript NN 35024 918 11 notes note NNS 35024 918 12 on on IN 35024 918 13 the the DT 35024 918 14 pendulum pendulum NN 35024 918 15 experiments experiment NNS 35024 918 16 and and CC 35024 918 17 six six CD 35024 918 18 letters letter NNS 35024 918 19 between between IN 35024 918 20 Wilkes Wilkes NNP 35024 918 21 and and CC 35024 918 22 Baily Baily NNP 35024 918 23 , , , 35024 918 24 is be VBZ 35024 918 25 in in IN 35024 918 26 the the DT 35024 918 27 U.S. U.S. NNP 35024 918 28 National National NNP 35024 918 29 Archives Archives NNPS 35024 918 30 , , , 35024 918 31 Navy Navy NNP 35024 918 32 Records Records NNPS 35024 918 33 Gp Gp NNP 35024 918 34 . . . 35024 919 1 37 37 CD 35024 919 2 . . . 35024 920 1 These these DT 35024 920 2 were be VBD 35024 920 3 the the DT 35024 920 4 source source NN 35024 920 5 materials material NNS 35024 920 6 for for IN 35024 920 7 the the DT 35024 920 8 information information NN 35024 920 9 presented present VBN 35024 920 10 here here RB 35024 920 11 on on IN 35024 920 12 the the DT 35024 920 13 Expedition Expedition NNP 35024 920 14 . . . 35024 921 1 We -PRON- PRP 35024 921 2 are be VBP 35024 921 3 indebted indebted JJ 35024 921 4 to to IN 35024 921 5 Miss Miss NNP 35024 921 6 Doris Doris NNP 35024 921 7 Ann Ann NNP 35024 921 8 Esch Esch NNP 35024 921 9 and and CC 35024 921 10 Mr. Mr. NNP 35024 921 11 Joseph Joseph NNP 35024 921 12 Rudmann Rudmann NNP 35024 921 13 of of IN 35024 921 14 the the DT 35024 921 15 staff staff NN 35024 921 16 of of IN 35024 921 17 the the DT 35024 921 18 U.S. U.S. NNP 35024 921 19 National National NNP 35024 921 20 Museum Museum NNP 35024 921 21 for for IN 35024 921 22 calling call VBG 35024 921 23 our -PRON- PRP$ 35024 921 24 attention attention NN 35024 921 25 to to IN 35024 921 26 this this DT 35024 921 27 early early JJ 35024 921 28 American american JJ 35024 921 29 pendulum pendulum NN 35024 921 30 work work NN 35024 921 31 . . . 35024 922 1 [ [ -LRB- 35024 922 2 39 39 CD 35024 922 3 ] ] -RRB- 35024 922 4 G. G. NNP 35024 922 5 B. B. NNP 35024 922 6 AIRY AIRY NNP 35024 922 7 , , , 35024 922 8 " " `` 35024 922 9 Account Account NNP 35024 922 10 of of IN 35024 922 11 Experiments Experiments NNPS 35024 922 12 Undertaken undertake VBN 35024 922 13 in in IN 35024 922 14 the the DT 35024 922 15 Harton Harton NNP 35024 922 16 Colliery Colliery NNP 35024 922 17 , , , 35024 922 18 for for IN 35024 922 19 the the DT 35024 922 20 Purpose Purpose NNP 35024 922 21 of of IN 35024 922 22 Determining determine VBG 35024 922 23 the the DT 35024 922 24 Mean Mean NNP 35024 922 25 Density Density NNP 35024 922 26 of of IN 35024 922 27 the the DT 35024 922 28 Earth Earth NNP 35024 922 29 , , , 35024 922 30 " " '' 35024 922 31 _ _ NNP 35024 922 32 Phil Phil NNP 35024 922 33 . . . 35024 923 1 Trans Trans NNPS 35024 923 2 . . . 35024 923 3 _ _ NNP 35024 923 4 ( ( -LRB- 35024 923 5 1856 1856 CD 35024 923 6 ) ) -RRB- 35024 923 7 , , , 35024 923 8 vol vol NNP 35024 923 9 . . . 35024 924 1 146 146 CD 35024 924 2 , , , 35024 924 3 p. p. NN 35024 924 4 297 297 CD 35024 924 5 . . . 35024 925 1 [ [ -LRB- 35024 925 2 40 40 CD 35024 925 3 ] ] -RRB- 35024 925 4 T. T. NNP 35024 925 5 C. C. NNP 35024 925 6 MENDENHALL MENDENHALL NNP 35024 925 7 , , , 35024 925 8 " " `` 35024 925 9 Measurements measurement NNS 35024 925 10 of of IN 35024 925 11 the the DT 35024 925 12 Force Force NNP 35024 925 13 of of IN 35024 925 14 Gravity Gravity NNP 35024 925 15 at at IN 35024 925 16 Tokyo Tokyo NNP 35024 925 17 , , , 35024 925 18 and and CC 35024 925 19 on on IN 35024 925 20 the the DT 35024 925 21 Summit Summit NNP 35024 925 22 of of IN 35024 925 23 Fujiyama Fujiyama NNP 35024 925 24 , , , 35024 925 25 " " '' 35024 925 26 _ _ NNP 35024 925 27 Memoirs Memoirs NNP 35024 925 28 of of IN 35024 925 29 the the DT 35024 925 30 Science Science NNP 35024 925 31 Department Department NNP 35024 925 32 , , , 35024 925 33 University University NNP 35024 925 34 of of IN 35024 925 35 Tokyo Tokyo NNP 35024 925 36 _ _ NNP 35024 925 37 ( ( -LRB- 35024 925 38 1881 1881 CD 35024 925 39 ) ) -RRB- 35024 925 40 , , , 35024 925 41 no no UH 35024 925 42 . . . 35024 926 1 5 5 CD 35024 926 2 . . . 35024 927 1 [ [ -LRB- 35024 927 2 41 41 CD 35024 927 3 ] ] -RRB- 35024 927 4 J. J. NNP 35024 927 5 T. T. NNP 35024 927 6 WALKER WALKER NNP 35024 927 7 , , , 35024 927 8 _ _ NNP 35024 927 9 Account Account NNP 35024 927 10 of of IN 35024 927 11 Operations Operations NNPS 35024 927 12 of of IN 35024 927 13 The the DT 35024 927 14 Great Great NNP 35024 927 15 Trigonometrical Trigonometrical NNP 35024 927 16 Survey Survey NNP 35024 927 17 of of IN 35024 927 18 India India NNP 35024 927 19 _ _ NNP 35024 927 20 ( ( -LRB- 35024 927 21 Calcutta Calcutta NNP 35024 927 22 , , , 35024 927 23 1879 1879 CD 35024 927 24 ) ) -RRB- 35024 927 25 , , , 35024 927 26 vol vol NNP 35024 927 27 . . . 35024 928 1 5 5 CD 35024 928 2 , , , 35024 928 3 app app NN 35024 928 4 . . . 35024 929 1 no no UH 35024 929 2 . . . 35024 930 1 2 2 LS 35024 930 2 . . . 35024 931 1 [ [ -LRB- 35024 931 2 42 42 CD 35024 931 3 ] ] -RRB- 35024 931 4 BESSEL bessel NN 35024 931 5 , , , 35024 931 6 op op NN 35024 931 7 . . . 35024 932 1 cit cit NNP 35024 932 2 . . . 35024 933 1 ( ( -LRB- 35024 933 2 footnote footnote NNP 35024 933 3 21 21 CD 35024 933 4 ) ) -RRB- 35024 933 5 , , , 35024 933 6 article article NN 35024 933 7 31 31 CD 35024 933 8 . . . 35024 934 1 [ [ -LRB- 35024 934 2 43 43 CD 35024 934 3 ] ] -RRB- 35024 934 4 C. C. NNP 35024 934 5 A. A. NNP 35024 934 6 F. F. NNP 35024 934 7 PETERS PETERS NNP 35024 934 8 , , , 35024 934 9 _ _ NNP 35024 934 10 Briefwechsel Briefwechsel NNP 35024 934 11 zwischen zwischen NNP 35024 934 12 C. C. NNP 35024 934 13 F. F. NNP 35024 934 14 Gauss Gauss NNP 35024 934 15 und und VBD 35024 934 16 H. H. NNP 35024 934 17 C. C. NNP 35024 934 18 Schumacher Schumacher NNP 35024 934 19 _ _ NNP 35024 934 20 ( ( -LRB- 35024 934 21 Altona Altona NNP 35024 934 22 , , , 35024 934 23 Germany Germany NNP 35024 934 24 , , , 35024 934 25 1860 1860 CD 35024 934 26 ) ) -RRB- 35024 934 27 , , , 35024 934 28 _ _ NNP 35024 934 29 Band Band NNP 35024 934 30 _ _ NNP 35024 934 31 2 2 CD 35024 934 32 , , , 35024 934 33 p. p. NN 35024 934 34 3 3 CD 35024 934 35 . . . 35024 935 1 The the DT 35024 935 2 correction correction NN 35024 935 3 required require VBN 35024 935 4 if if IN 35024 935 5 the the DT 35024 935 6 times time NNS 35024 935 7 of of IN 35024 935 8 swing swing NN 35024 935 9 are be VBP 35024 935 10 not not RB 35024 935 11 exactly exactly RB 35024 935 12 the the DT 35024 935 13 same same JJ 35024 935 14 is be VBZ 35024 935 15 said say VBN 35024 935 16 to to TO 35024 935 17 have have VB 35024 935 18 been be VBN 35024 935 19 given give VBN 35024 935 20 also also RB 35024 935 21 by by IN 35024 935 22 Bohnenberger Bohnenberger NNP 35024 935 23 . . . 35024 936 1 [ [ -LRB- 35024 936 2 44 44 CD 35024 936 3 ] ] -RRB- 35024 936 4 F. F. NNP 35024 936 5 W. W. NNP 35024 936 6 BESSEL BESSEL NNP 35024 936 7 , , , 35024 936 8 " " '' 35024 936 9 Construction construction NN 35024 936 10 eines eine VBZ 35024 936 11 symmetrisch symmetrisch NN 35024 936 12 geformten geformten NNP 35024 936 13 Pendels Pendels NNP 35024 936 14 mit mit NN 35024 936 15 reciproken reciproken NNP 35024 936 16 Axen Axen NNP 35024 936 17 , , , 35024 936 18 von von NNP 35024 936 19 Bessel Bessel NNP 35024 936 20 , , , 35024 936 21 " " '' 35024 936 22 _ _ NNP 35024 936 23 Astronomische Astronomische NNP 35024 936 24 Nachrichten Nachrichten NNP 35024 936 25 _ _ NNP 35024 936 26 ( ( -LRB- 35024 936 27 1849 1849 CD 35024 936 28 ) ) -RRB- 35024 936 29 , , , 35024 936 30 vol vol NNP 35024 936 31 . . . 35024 937 1 30 30 CD 35024 937 2 , , , 35024 937 3 p. p. NN 35024 937 4 1 1 CD 35024 937 5 . . . 35024 938 1 [ [ -LRB- 35024 938 2 45 45 CD 35024 938 3 ] ] -RRB- 35024 938 4 E. E. NNP 35024 938 5 PLANTAMOUR PLANTAMOUR NNP 35024 938 6 , , , 35024 938 7 " " '' 35024 938 8 Expériences expérience NNS 35024 938 9 faites faite VBZ 35024 938 10 à à DT 35024 938 11 Genève Genève NNP 35024 938 12 avec avec FW 35024 938 13 le le FW 35024 938 14 pendule pendule NNP 35024 938 15 à à NNP 35024 938 16 réversion réversion NN 35024 938 17 , , , 35024 938 18 " " '' 35024 938 19 _ _ NNP 35024 938 20 Mémoires Mémoires NNP 35024 938 21 de de NNP 35024 938 22 la la NNP 35024 938 23 Société Société NNP 35024 938 24 de de IN 35024 938 25 Physique Physique NNP 35024 938 26 et et NNP 35024 938 27 d'histoire d'histoire NNP 35024 938 28 naturelle naturelle NNP 35024 938 29 de de IN 35024 938 30 Genève Genève NNP 35024 938 31 , , , 35024 938 32 1865 1865 CD 35024 938 33 _ _ NNP 35024 938 34 ( ( -LRB- 35024 938 35 Geneva Geneva NNP 35024 938 36 , , , 35024 938 37 1866 1866 CD 35024 938 38 ) ) -RRB- 35024 938 39 , , , 35024 938 40 vol vol NNP 35024 938 41 . . . 35024 939 1 18 18 CD 35024 939 2 , , , 35024 939 3 p. p. NN 35024 939 4 309 309 CD 35024 939 5 . . . 35024 940 1 [ [ -LRB- 35024 940 2 46 46 CD 35024 940 3 ] ] -RRB- 35024 940 4 Ibid Ibid NNP 35024 940 5 . . . 35024 940 6 , , , 35024 940 7 pp pp NNP 35024 940 8 . . . 35024 941 1 309 309 CD 35024 941 2 - - SYM 35024 941 3 416 416 CD 35024 941 4 . . . 35024 942 1 [ [ -LRB- 35024 942 2 47 47 CD 35024 942 3 ] ] -RRB- 35024 942 4 C. C. NNP 35024 942 5 CELLÉRIER CELLÉRIER NNP 35024 942 6 , , , 35024 942 7 " " `` 35024 942 8 Note note VB 35024 942 9 sur sur NNP 35024 942 10 la la NNP 35024 942 11 Mesure Mesure NNP 35024 942 12 de de NNP 35024 942 13 la la NNP 35024 942 14 Pesanteur Pesanteur NNP 35024 942 15 par par NN 35024 942 16 le le NNP 35024 942 17 Pendule Pendule NNP 35024 942 18 , , , 35024 942 19 " " `` 35024 942 20 _ _ NNP 35024 942 21 Mémoires Mémoires NNP 35024 942 22 de de NNP 35024 942 23 la la NNP 35024 942 24 Société Société NNP 35024 942 25 de de IN 35024 942 26 Physique Physique NNP 35024 942 27 et et NNP 35024 942 28 d'histoire d'histoire NNP 35024 942 29 naturelle naturelle NNP 35024 942 30 de de IN 35024 942 31 Genève Genève NNP 35024 942 32 , , , 35024 942 33 1865 1865 CD 35024 942 34 _ _ NNP 35024 942 35 ( ( -LRB- 35024 942 36 Geneva Geneva NNP 35024 942 37 , , , 35024 942 38 1866 1866 CD 35024 942 39 ) ) -RRB- 35024 942 40 , , , 35024 942 41 vol vol NNP 35024 942 42 . . . 35024 943 1 18 18 CD 35024 943 2 , , , 35024 943 3 pp pp NNP 35024 943 4 . . . 35024 944 1 197 197 CD 35024 944 2 - - SYM 35024 944 3 218 218 CD 35024 944 4 . . . 35024 945 1 [ [ -LRB- 35024 945 2 48 48 CD 35024 945 3 ] ] -RRB- 35024 945 4 A. a. NN 35024 945 5 SAWITSCH SAWITSCH NNP 35024 945 6 , , , 35024 945 7 " " '' 35024 945 8 Les Les NNP 35024 945 9 variations variation NNS 35024 945 10 de de FW 35024 945 11 la la NNP 35024 945 12 pesanteur pesanteur NNP 35024 945 13 dans dan NNS 35024 945 14 les les VBP 35024 945 15 provinces province NNS 35024 945 16 occidentales occidentale VBZ 35024 945 17 de de NNP 35024 945 18 l'Empire l'Empire NNP 35024 945 19 russe russe NNP 35024 945 20 , , , 35024 945 21 " " `` 35024 945 22 _ _ NNP 35024 945 23 Memoirs Memoirs NNP 35024 945 24 of of IN 35024 945 25 the the DT 35024 945 26 Royal Royal NNP 35024 945 27 Astronomical Astronomical NNP 35024 945 28 Society Society NNP 35024 945 29 _ _ NNP 35024 945 30 ( ( -LRB- 35024 945 31 1872 1872 CD 35024 945 32 ) ) -RRB- 35024 945 33 , , , 35024 945 34 vol vol NNP 35024 945 35 . . . 35024 946 1 39 39 CD 35024 946 2 , , , 35024 946 3 p. p. NN 35024 946 4 19 19 CD 35024 946 5 . . . 35024 947 1 [ [ -LRB- 35024 947 2 49 49 CD 35024 947 3 ] ] -RRB- 35024 947 4 J. J. NNP 35024 947 5 J. J. NNP 35024 947 6 BAEYER BAEYER NNP 35024 947 7 , , , 35024 947 8 _ _ NNP 35024 947 9 Über Über NNP 35024 947 10 die die VBP 35024 947 11 Grösse Grösse NNP 35024 947 12 und und JJ 35024 947 13 Figur Figur NNP 35024 947 14 der der NN 35024 947 15 Erde Erde NNP 35024 947 16 _ _ NNP 35024 947 17 ( ( -LRB- 35024 947 18 Berlin Berlin NNP 35024 947 19 , , , 35024 947 20 1861 1861 CD 35024 947 21 ) ) -RRB- 35024 947 22 . . . 35024 948 1 [ [ -LRB- 35024 948 2 50 50 CD 35024 948 3 ] ] -RRB- 35024 948 4 _ _ NNP 35024 948 5 Comptes Comptes NNP 35024 948 6 - - HYPH 35024 948 7 rendus rendus NNP 35024 948 8 de de FW 35024 948 9 la la NNP 35024 948 10 Conférence Conférence NNP 35024 948 11 Géodésique Géodésique NNP 35024 948 12 Internationale Internationale NNP 35024 948 13 réunie réunie NNP 35024 948 14 à à NNP 35024 948 15 Berlin Berlin NNP 35024 948 16 du du NNP 35024 948 17 15 15 CD 35024 948 18 - - SYM 35024 948 19 22 22 CD 35024 948 20 Octobre Octobre NNP 35024 948 21 1864 1864 CD 35024 948 22 _ _ NNP 35024 948 23 ( ( -LRB- 35024 948 24 Neuchâtel Neuchâtel NNP 35024 948 25 , , , 35024 948 26 1865 1865 CD 35024 948 27 ) ) -RRB- 35024 948 28 . . . 35024 949 1 [ [ -LRB- 35024 949 2 51 51 CD 35024 949 3 ] ] -RRB- 35024 949 4 Ibid Ibid NNP 35024 949 5 . . . 35024 949 6 , , , 35024 949 7 part part NN 35024 949 8 III III NNP 35024 949 9 , , , 35024 949 10 subpart subpart NNP 35024 949 11 E. E. NNP 35024 949 12 [ [ -LRB- 35024 949 13 52 52 CD 35024 949 14 ] ] -RRB- 35024 949 15 _ _ NNP 35024 949 16 Bericht Bericht NNP 35024 949 17 über über NN 35024 949 18 die die VBP 35024 949 19 Verhandlungen Verhandlungen NNP 35024 949 20 der der NN 35024 949 21 vom vom VBZ 35024 949 22 30 30 CD 35024 949 23 September September NNP 35024 949 24 bis bi VBD 35024 949 25 7 7 CD 35024 949 26 October October NNP 35024 949 27 1867 1867 CD 35024 949 28 zu zu VBZ 35024 949 29 Berlin Berlin NNP 35024 949 30 abgehaltenen abgehaltenen NN 35024 949 31 allgemeinen allgemeinen NNP 35024 949 32 Conferenz Conferenz NNP 35024 949 33 der der NN 35024 949 34 Europäischen Europäischen NNP 35024 949 35 Gradmessung Gradmessung NNP 35024 949 36 _ _ NNP 35024 949 37 ( ( -LRB- 35024 949 38 Berlin Berlin NNP 35024 949 39 , , , 35024 949 40 1868 1868 CD 35024 949 41 ) ) -RRB- 35024 949 42 . . . 35024 950 1 See see VB 35024 950 2 report report NN 35024 950 3 of of IN 35024 950 4 fourth fourth JJ 35024 950 5 session session NN 35024 950 6 , , , 35024 950 7 October October NNP 35024 950 8 3 3 CD 35024 950 9 , , , 35024 950 10 1867 1867 CD 35024 950 11 . . . 35024 951 1 [ [ -LRB- 35024 951 2 53 53 CD 35024 951 3 ] ] -RRB- 35024 951 4 C. C. NNP 35024 951 5 BRUHNS BRUHNS NNP 35024 951 6 and and CC 35024 951 7 ALBRECHT ALBRECHT NNP 35024 951 8 , , , 35024 951 9 " " '' 35024 951 10 Bestimmung Bestimmung NNP 35024 951 11 der der VBP 35024 951 12 Länge Länge NNP 35024 951 13 des des NNP 35024 951 14 Secundenpendels Secundenpendels NNPS 35024 951 15 in in IN 35024 951 16 Bonn Bonn NNP 35024 951 17 , , , 35024 951 18 Leiden Leiden NNP 35024 951 19 und und NN 35024 951 20 Mannheim Mannheim NNP 35024 951 21 , , , 35024 951 22 " " '' 35024 951 23 _ _ NNP 35024 951 24 Astronomisch Astronomisch NNP 35024 951 25 - - HYPH 35024 951 26 Geodätische Geodätische NNP 35024 951 27 Arbeiten Arbeiten NNP 35024 951 28 i -PRON- PRP 35024 951 29 m be VBP 35024 951 30 Jahre Jahre NNP 35024 951 31 1870 1870 CD 35024 951 32 _ _ NNP 35024 951 33 ( ( -LRB- 35024 951 34 Leipzig Leipzig NNP 35024 951 35 : : : 35024 951 36 Veröffentlichungen Veröffentlichungen NNP 35024 951 37 des des FW 35024 951 38 Königlichen Königlichen NNP 35024 951 39 Preussischen Preussischen NNP 35024 951 40 Geodätischen Geodätischen NNP 35024 951 41 Instituts Instituts NNP 35024 951 42 , , , 35024 951 43 1871 1871 CD 35024 951 44 ) ) -RRB- 35024 951 45 . . . 35024 952 1 [ [ -LRB- 35024 952 2 54 54 CD 35024 952 3 ] ] -RRB- 35024 952 4 _ _ NNP 35024 952 5 Bericht Bericht NNP 35024 952 6 über über NN 35024 952 7 die die VBP 35024 952 8 Verhandlungen Verhandlungen NNP 35024 952 9 der der NN 35024 952 10 vom vom NNS 35024 952 11 23 23 CD 35024 952 12 bis bi VBD 35024 952 13 28 28 CD 35024 952 14 September September NNP 35024 952 15 1874 1874 CD 35024 952 16 in in IN 35024 952 17 Dresden Dresden NNP 35024 952 18 abgehaltenen abgehaltenen NN 35024 952 19 vierten vierten NN 35024 952 20 allgemeinen allgemeinen NNP 35024 952 21 Conferenz Conferenz NNP 35024 952 22 der der NN 35024 952 23 Europäischen Europäischen NNP 35024 952 24 Gradmessung Gradmessung NNP 35024 952 25 _ _ NNP 35024 952 26 ( ( -LRB- 35024 952 27 Berlin Berlin NNP 35024 952 28 , , , 35024 952 29 1875 1875 CD 35024 952 30 ) ) -RRB- 35024 952 31 . . . 35024 953 1 See see VB 35024 953 2 report report NN 35024 953 3 of of IN 35024 953 4 second second JJ 35024 953 5 session session NN 35024 953 6 , , , 35024 953 7 September September NNP 35024 953 8 24 24 CD 35024 953 9 , , , 35024 953 10 1874 1874 CD 35024 953 11 . . . 35024 954 1 [ [ -LRB- 35024 954 2 55 55 CD 35024 954 3 ] ] -RRB- 35024 954 4 CAROLYN CAROLYN NNP 35024 954 5 EISELE EISELE NNP 35024 954 6 , , , 35024 954 7 " " '' 35024 954 8 Charles Charles NNP 35024 954 9 S. S. NNP 35024 954 10 Peirce Peirce NNP 35024 954 11 -- -- : 35024 954 12 Nineteenth Nineteenth NNP 35024 954 13 - - HYPH 35024 954 14 Century Century NNP 35024 954 15 Man Man NNP 35024 954 16 of of IN 35024 954 17 Science Science NNP 35024 954 18 , , , 35024 954 19 " " '' 35024 954 20 _ _ NNP 35024 954 21 Scripta Scripta NNP 35024 954 22 Mathematica Mathematica NNP 35024 954 23 _ _ NNP 35024 954 24 ( ( -LRB- 35024 954 25 1959 1959 CD 35024 954 26 ) ) -RRB- 35024 954 27 , , , 35024 954 28 vol vol NNP 35024 954 29 24 24 CD 35024 954 30 , , , 35024 954 31 p. p. NN 35024 954 32 305 305 CD 35024 954 33 . . . 35024 955 1 For for IN 35024 955 2 the the DT 35024 955 3 account account NN 35024 955 4 of of IN 35024 955 5 the the DT 35024 955 6 work work NN 35024 955 7 of of IN 35024 955 8 Peirce Peirce NNP 35024 955 9 , , , 35024 955 10 the the DT 35024 955 11 authors author NNS 35024 955 12 are be VBP 35024 955 13 greatly greatly RB 35024 955 14 indebted indebted JJ 35024 955 15 to to IN 35024 955 16 this this DT 35024 955 17 pioneer pioneer NN 35024 955 18 paper paper NN 35024 955 19 on on IN 35024 955 20 Peirce Peirce NNP 35024 955 21 's 's POS 35024 955 22 work work NN 35024 955 23 on on IN 35024 955 24 gravity gravity NN 35024 955 25 . . . 35024 956 1 It -PRON- PRP 35024 956 2 is be VBZ 35024 956 3 worth worth JJ 35024 956 4 noting note VBG 35024 956 5 that that IN 35024 956 6 the the DT 35024 956 7 history history NN 35024 956 8 of of IN 35024 956 9 pendulum pendulum NN 35024 956 10 work work NN 35024 956 11 in in IN 35024 956 12 North North NNP 35024 956 13 America America NNP 35024 956 14 goes go VBZ 35024 956 15 back back RB 35024 956 16 to to IN 35024 956 17 the the DT 35024 956 18 celebrated celebrated JJ 35024 956 19 Mason Mason NNP 35024 956 20 and and CC 35024 956 21 Dixon Dixon NNP 35024 956 22 , , , 35024 956 23 who who WP 35024 956 24 made make VBD 35024 956 25 observations observation NNS 35024 956 26 of of IN 35024 956 27 " " `` 35024 956 28 the the DT 35024 956 29 going go VBG 35024 956 30 rate rate NN 35024 956 31 of of IN 35024 956 32 a a DT 35024 956 33 clock clock NN 35024 956 34 " " '' 35024 956 35 at at IN 35024 956 36 " " `` 35024 956 37 the the DT 35024 956 38 forks fork NNS 35024 956 39 of of IN 35024 956 40 the the DT 35024 956 41 river river NN 35024 956 42 Brandiwine Brandiwine NNP 35024 956 43 in in IN 35024 956 44 Pennsylvania Pennsylvania NNP 35024 956 45 , , , 35024 956 46 " " '' 35024 956 47 in in IN 35024 956 48 1766 1766 CD 35024 956 49 - - SYM 35024 956 50 67 67 CD 35024 956 51 . . . 35024 957 1 These these DT 35024 957 2 observations observation NNS 35024 957 3 were be VBD 35024 957 4 published publish VBN 35024 957 5 in in IN 35024 957 6 _ _ NNP 35024 957 7 Phil Phil NNP 35024 957 8 . . . 35024 958 1 Trans Trans NNPS 35024 958 2 . . . 35024 958 3 _ _ NNP 35024 958 4 ( ( -LRB- 35024 958 5 1768 1768 CD 35024 958 6 ) ) -RRB- 35024 958 7 , , , 35024 958 8 vol vol NNP 35024 958 9 . . . 35024 959 1 58 58 CD 35024 959 2 , , , 35024 959 3 pp pp NNP 35024 959 4 . . . 35024 960 1 329 329 CD 35024 960 2 - - SYM 35024 960 3 335 335 CD 35024 960 4 . . . 35024 961 1 [ [ -LRB- 35024 961 2 56 56 LS 35024 961 3 ] ] -RRB- 35024 961 4 The the DT 35024 961 5 pendulums pendulum NNS 35024 961 6 with with IN 35024 961 7 conical conical JJ 35024 961 8 bobs bob NNS 35024 961 9 are be VBP 35024 961 10 described describe VBN 35024 961 11 and and CC 35024 961 12 illustrated illustrate VBN 35024 961 13 in in IN 35024 961 14 E. E. NNP 35024 961 15 D. D. NNP 35024 961 16 PRESTON PRESTON NNP 35024 961 17 , , , 35024 961 18 " " '' 35024 961 19 Determinations Determinations NNPS 35024 961 20 of of IN 35024 961 21 Gravity Gravity NNP 35024 961 22 and and CC 35024 961 23 the the DT 35024 961 24 Magnetic Magnetic NNP 35024 961 25 Elements Elements NNPS 35024 961 26 in in IN 35024 961 27 Connection connection NN 35024 961 28 with with IN 35024 961 29 the the DT 35024 961 30 United United NNP 35024 961 31 States States NNP 35024 961 32 Scientific Scientific NNP 35024 961 33 Expedition Expedition NNP 35024 961 34 to to IN 35024 961 35 the the DT 35024 961 36 West West NNP 35024 961 37 Coast Coast NNP 35024 961 38 of of IN 35024 961 39 Africa Africa NNP 35024 961 40 , , , 35024 961 41 1889 1889 CD 35024 961 42 - - SYM 35024 961 43 90 90 CD 35024 961 44 , , , 35024 961 45 " " '' 35024 961 46 _ _ NNP 35024 961 47 Report Report NNP 35024 961 48 of of IN 35024 961 49 the the DT 35024 961 50 Superintendent Superintendent NNP 35024 961 51 of of IN 35024 961 52 the the DT 35024 961 53 Coast Coast NNP 35024 961 54 and and CC 35024 961 55 Geodetic Geodetic NNP 35024 961 56 Survey Survey NNP 35024 961 57 for for IN 35024 961 58 1889 1889 CD 35024 961 59 - - SYM 35024 961 60 90 90 CD 35024 961 61 _ _ NNP 35024 961 62 ( ( -LRB- 35024 961 63 Washington Washington NNP 35024 961 64 , , , 35024 961 65 1891 1891 CD 35024 961 66 ) ) -RRB- 35024 961 67 , , , 35024 961 68 app app NN 35024 961 69 . . . 35024 962 1 no no UH 35024 962 2 . . . 35024 963 1 12 12 CD 35024 963 2 . . . 35024 964 1 [ [ -LRB- 35024 964 2 57 57 CD 35024 964 3 ] ] -RRB- 35024 964 4 EISELE EISELE NNP 35024 964 5 , , , 35024 964 6 op op NN 35024 964 7 . . . 35024 965 1 cit cit NNP 35024 965 2 . . . 35024 966 1 ( ( -LRB- 35024 966 2 footnote footnote NNP 35024 966 3 55 55 CD 35024 966 4 ) ) -RRB- 35024 966 5 , , , 35024 966 6 p. p. NN 35024 966 7 311 311 CD 35024 966 8 . . . 35024 967 1 [ [ -LRB- 35024 967 2 58 58 CD 35024 967 3 ] ] -RRB- 35024 967 4 The the DT 35024 967 5 record record NN 35024 967 6 of of IN 35024 967 7 Peirce Peirce NNP 35024 967 8 's 's POS 35024 967 9 observations observation NNS 35024 967 10 in in IN 35024 967 11 Europe Europe NNP 35024 967 12 during during IN 35024 967 13 1875 1875 CD 35024 967 14 - - SYM 35024 967 15 76 76 CD 35024 967 16 is be VBZ 35024 967 17 given give VBN 35024 967 18 in in IN 35024 967 19 C. C. NNP 35024 967 20 S. S. NNP 35024 967 21 PEIRCE PEIRCE NNP 35024 967 22 , , , 35024 967 23 " " `` 35024 967 24 Measurements measurement NNS 35024 967 25 of of IN 35024 967 26 Gravity Gravity NNP 35024 967 27 at at IN 35024 967 28 Initial Initial NNP 35024 967 29 Stations Stations NNPS 35024 967 30 in in IN 35024 967 31 America America NNP 35024 967 32 and and CC 35024 967 33 Europe Europe NNP 35024 967 34 , , , 35024 967 35 " " '' 35024 967 36 _ _ NNP 35024 967 37 Report Report NNP 35024 967 38 of of IN 35024 967 39 the the DT 35024 967 40 Superintendent Superintendent NNP 35024 967 41 of of IN 35024 967 42 the the DT 35024 967 43 Coast Coast NNP 35024 967 44 Survey Survey NNP 35024 967 45 for for IN 35024 967 46 1875 1875 CD 35024 967 47 - - SYM 35024 967 48 76 76 CD 35024 967 49 _ _ NNP 35024 967 50 ( ( -LRB- 35024 967 51 Washington Washington NNP 35024 967 52 , , , 35024 967 53 1879 1879 CD 35024 967 54 ) ) -RRB- 35024 967 55 , , , 35024 967 56 pp pp NNP 35024 967 57 . . . 35024 968 1 202 202 CD 35024 968 2 - - SYM 35024 968 3 337 337 CD 35024 968 4 and and CC 35024 968 5 410 410 CD 35024 968 6 - - SYM 35024 968 7 416 416 CD 35024 968 8 . . . 35024 969 1 Peirce Peirce NNP 35024 969 2 's 's POS 35024 969 3 report report NN 35024 969 4 is be VBZ 35024 969 5 dated date VBN 35024 969 6 December December NNP 35024 969 7 13 13 CD 35024 969 8 , , , 35024 969 9 1878 1878 CD 35024 969 10 , , , 35024 969 11 by by IN 35024 969 12 which which WDT 35024 969 13 time time NN 35024 969 14 the the DT 35024 969 15 name name NN 35024 969 16 of of IN 35024 969 17 the the DT 35024 969 18 Survey Survey NNP 35024 969 19 had have VBD 35024 969 20 been be VBN 35024 969 21 changed change VBN 35024 969 22 to to IN 35024 969 23 U.S. U.S. NNP 35024 969 24 Coast Coast NNP 35024 969 25 and and CC 35024 969 26 Geodetic Geodetic NNP 35024 969 27 Survey Survey NNP 35024 969 28 . . . 35024 970 1 [ [ -LRB- 35024 970 2 59 59 CD 35024 970 3 ] ] -RRB- 35024 970 4 _ _ NNP 35024 970 5 Verhandlungen Verhandlungen NNP 35024 970 6 der der VBD 35024 970 7 vom vom NNS 35024 970 8 20 20 CD 35024 970 9 bis bi VBD 35024 970 10 29 29 CD 35024 970 11 September September NNP 35024 970 12 1875 1875 CD 35024 970 13 in in IN 35024 970 14 Paris Paris NNP 35024 970 15 Vereinigten Vereinigten NNP 35024 970 16 Permanenten Permanenten NNP 35024 970 17 Commission Commission NNP 35024 970 18 der der NN 35024 970 19 Europäischen Europäischen NNP 35024 970 20 Gradmessung Gradmessung NNP 35024 970 21 _ _ NNP 35024 970 22 ( ( -LRB- 35024 970 23 Berlin Berlin NNP 35024 970 24 , , , 35024 970 25 1876 1876 CD 35024 970 26 ) ) -RRB- 35024 970 27 . . . 35024 971 1 [ [ -LRB- 35024 971 2 60 60 CD 35024 971 3 ] ] -RRB- 35024 971 4 Ibid Ibid NNP 35024 971 5 . . . 35024 972 1 See see VB 35024 972 2 report report NN 35024 972 3 for for IN 35024 972 4 fifth fifth JJ 35024 972 5 session session NN 35024 972 6 , , , 35024 972 7 September September NNP 35024 972 8 25 25 CD 35024 972 9 , , , 35024 972 10 1875 1875 CD 35024 972 11 . . . 35024 973 1 [ [ -LRB- 35024 973 2 61 61 CD 35024 973 3 ] ] -RRB- 35024 973 4 The the DT 35024 973 5 experiments experiment NNS 35024 973 6 at at IN 35024 973 7 the the DT 35024 973 8 Stevens Stevens NNP 35024 973 9 Institute Institute NNP 35024 973 10 , , , 35024 973 11 Hoboken Hoboken NNP 35024 973 12 , , , 35024 973 13 were be VBD 35024 973 14 reported report VBN 35024 973 15 by by IN 35024 973 16 Peirce Peirce NNP 35024 973 17 to to IN 35024 973 18 the the DT 35024 973 19 Permanent Permanent NNP 35024 973 20 Commission Commission NNP 35024 973 21 which which WDT 35024 973 22 met meet VBD 35024 973 23 in in IN 35024 973 24 Hamburg Hamburg NNP 35024 973 25 , , , 35024 973 26 September September NNP 35024 973 27 4 4 CD 35024 973 28 - - SYM 35024 973 29 8 8 CD 35024 973 30 , , , 35024 973 31 1878 1878 CD 35024 973 32 , , , 35024 973 33 and and CC 35024 973 34 his -PRON- PRP$ 35024 973 35 report report NN 35024 973 36 was be VBD 35024 973 37 published publish VBN 35024 973 38 in in IN 35024 973 39 the the DT 35024 973 40 general general JJ 35024 973 41 _ _ NNP 35024 973 42 Bericht Bericht NNP 35024 973 43 _ _ NNP 35024 973 44 for for IN 35024 973 45 1878 1878 CD 35024 973 46 in in IN 35024 973 47 the the DT 35024 973 48 _ _ NNP 35024 973 49 Verhandlungen Verhandlungen NNP 35024 973 50 der der VBD 35024 973 51 vom vom NNS 35024 973 52 4 4 CD 35024 973 53 bis bi VBD 35024 973 54 8 8 CD 35024 973 55 September September NNP 35024 973 56 1878 1878 CD 35024 973 57 in in IN 35024 973 58 Hamburg Hamburg NNP 35024 973 59 Vereinigten Vereinigten NNP 35024 973 60 Permanenten Permanenten NNP 35024 973 61 Commission Commission NNP 35024 973 62 der der NN 35024 973 63 Europäischen Europäischen NNP 35024 973 64 Gradmessung Gradmessung NNP 35024 973 65 _ _ NNP 35024 973 66 ( ( -LRB- 35024 973 67 Berlin Berlin NNP 35024 973 68 , , , 35024 973 69 1879 1879 CD 35024 973 70 ) ) -RRB- 35024 973 71 , , , 35024 973 72 pp pp NNP 35024 973 73 . . . 35024 974 1 116 116 CD 35024 974 2 - - SYM 35024 974 3 120 120 CD 35024 974 4 . . . 35024 975 1 Assistant Assistant NNP 35024 975 2 J. J. NNP 35024 975 3 E. E. NNP 35024 975 4 Hilgard Hilgard NNP 35024 975 5 attended attend VBD 35024 975 6 for for IN 35024 975 7 the the DT 35024 975 8 U.S. U.S. NNP 35024 975 9 Coast Coast NNP 35024 975 10 and and CC 35024 975 11 Geodetic Geodetic NNP 35024 975 12 Survey Survey NNP 35024 975 13 . . . 35024 976 1 The the DT 35024 976 2 experiments experiment NNS 35024 976 3 are be VBP 35024 976 4 described describe VBN 35024 976 5 in in IN 35024 976 6 detail detail NN 35024 976 7 in in IN 35024 976 8 C. C. NNP 35024 976 9 S. S. NNP 35024 976 10 PEIRCE PEIRCE NNP 35024 976 11 , , , 35024 976 12 " " '' 35024 976 13 On on IN 35024 976 14 the the DT 35024 976 15 Flexure Flexure NNP 35024 976 16 of of IN 35024 976 17 Pendulum Pendulum NNP 35024 976 18 Supports Supports NNPS 35024 976 19 , , , 35024 976 20 " " '' 35024 976 21 _ _ NNP 35024 976 22 Report Report NNP 35024 976 23 of of IN 35024 976 24 the the DT 35024 976 25 Superintendent Superintendent NNP 35024 976 26 of of IN 35024 976 27 the the DT 35024 976 28 U.S. U.S. NNP 35024 976 29 Coast Coast NNP 35024 976 30 and and CC 35024 976 31 Geodetic Geodetic NNP 35024 976 32 Survey Survey NNP 35024 976 33 for for IN 35024 976 34 1880 1880 CD 35024 976 35 - - SYM 35024 976 36 81 81 CD 35024 976 37 _ _ NNP 35024 976 38 ( ( -LRB- 35024 976 39 Washington Washington NNP 35024 976 40 , , , 35024 976 41 1883 1883 CD 35024 976 42 ) ) -RRB- 35024 976 43 , , , 35024 976 44 app app NN 35024 976 45 . . . 35024 977 1 no no UH 35024 977 2 . . . 35024 978 1 14 14 CD 35024 978 2 , , , 35024 978 3 pp pp NNP 35024 978 4 . . . 35024 979 1 359 359 CD 35024 979 2 - - SYM 35024 979 3 441 441 CD 35024 979 4 . . . 35024 980 1 [ [ -LRB- 35024 980 2 62 62 CD 35024 980 3 ] ] -RRB- 35024 980 4 _ _ NNP 35024 980 5 Verhandlungen Verhandlungen NNP 35024 980 6 der der VBD 35024 980 7 vom vom NNS 35024 980 8 5 5 CD 35024 980 9 bis bi VBD 35024 980 10 10 10 CD 35024 980 11 Oktober Oktober NNP 35024 980 12 1876 1876 CD 35024 980 13 in in IN 35024 980 14 Brussels Brussels NNP 35024 980 15 Vereinigten Vereinigten NNP 35024 980 16 Permanenten Permanenten NNP 35024 980 17 Commission Commission NNP 35024 980 18 der der NN 35024 980 19 Europäischen Europäischen NNP 35024 980 20 Gradmessung Gradmessung NNP 35024 980 21 _ _ NNP 35024 980 22 ( ( -LRB- 35024 980 23 Berlin Berlin NNP 35024 980 24 , , , 35024 980 25 1877 1877 CD 35024 980 26 ) ) -RRB- 35024 980 27 . . . 35024 981 1 See see VB 35024 981 2 report report NN 35024 981 3 of of IN 35024 981 4 third third JJ 35024 981 5 session session NN 35024 981 6 , , , 35024 981 7 October October NNP 35024 981 8 7 7 CD 35024 981 9 , , , 35024 981 10 1876 1876 CD 35024 981 11 . . . 35024 982 1 [ [ -LRB- 35024 982 2 63 63 CD 35024 982 3 ] ] -RRB- 35024 982 4 _ _ NNP 35024 982 5 Verhandlungen Verhandlungen NNP 35024 982 6 der der VBD 35024 982 7 vom vom VBZ 35024 982 8 27 27 CD 35024 982 9 September September NNP 35024 982 10 bis bi VBD 35024 982 11 2 2 CD 35024 982 12 Oktober Oktober NNP 35024 982 13 1877 1877 CD 35024 982 14 zu zu NFP 35024 982 15 Stuttgart Stuttgart NNP 35024 982 16 abgehaltenen abgehaltenen NN 35024 982 17 fünften fünften VBN 35024 982 18 allgemeinen allgemeinen NNP 35024 982 19 Conferenz Conferenz NNP 35024 982 20 der der NN 35024 982 21 Europäischen Europäischen NNP 35024 982 22 Gradmessung Gradmessung NNP 35024 982 23 _ _ NNP 35024 982 24 ( ( -LRB- 35024 982 25 Berlin Berlin NNP 35024 982 26 , , , 35024 982 27 1878 1878 CD 35024 982 28 ) ) -RRB- 35024 982 29 . . . 35024 983 1 [ [ -LRB- 35024 983 2 64 64 CD 35024 983 3 ] ] -RRB- 35024 983 4 _ _ NNP 35024 983 5 Verhandlung Verhandlung NNP 35024 983 6 der der VBD 35024 983 7 vom vom NNS 35024 983 8 16 16 CD 35024 983 9 bis bi VBD 35024 983 10 20 20 CD 35024 983 11 September September NNP 35024 983 12 1879 1879 CD 35024 983 13 in in IN 35024 983 14 Genf Genf NNP 35024 983 15 Vereinigten Vereinigten NNP 35024 983 16 Permanenten Permanenten NNP 35024 983 17 Commission Commission NNP 35024 983 18 der der NN 35024 983 19 Europäischen Europäischen NNP 35024 983 20 Gradmessung Gradmessung NNP 35024 983 21 _ _ NNP 35024 983 22 ( ( -LRB- 35024 983 23 Berlin Berlin NNP 35024 983 24 , , , 35024 983 25 1880 1880 CD 35024 983 26 ) ) -RRB- 35024 983 27 . . . 35024 984 1 [ [ -LRB- 35024 984 2 65 65 CD 35024 984 3 ] ] -RRB- 35024 984 4 _ _ NNP 35024 984 5 Assistants Assistants NNP 35024 984 6 ' ' POS 35024 984 7 Reports report NNS 35024 984 8 , , , 35024 984 9 U.S. U.S. NNP 35024 984 10 Coast Coast NNP 35024 984 11 and and CC 35024 984 12 Geodetic Geodetic NNP 35024 984 13 Survey Survey NNP 35024 984 14 , , , 35024 984 15 1879 1879 CD 35024 984 16 - - SYM 35024 984 17 80 80 CD 35024 984 18 . . . 35024 984 19 _ _ NNP 35024 984 20 Peirce Peirce NNP 35024 984 21 's 's POS 35024 984 22 paper paper NN 35024 984 23 was be VBD 35024 984 24 published publish VBN 35024 984 25 in in IN 35024 984 26 the the DT 35024 984 27 _ _ NNP 35024 984 28 American American NNP 35024 984 29 Journal Journal NNP 35024 984 30 of of IN 35024 984 31 Science Science NNP 35024 984 32 _ _ NNP 35024 984 33 ( ( -LRB- 35024 984 34 1879 1879 CD 35024 984 35 ) ) -RRB- 35024 984 36 , , , 35024 984 37 vol vol NNP 35024 984 38 . . . 35024 985 1 18 18 CD 35024 985 2 , , , 35024 985 3 p. p. NN 35024 985 4 112 112 CD 35024 985 5 . . . 35024 986 1 [ [ -LRB- 35024 986 2 66 66 CD 35024 986 3 ] ] -RRB- 35024 986 4 _ _ NNP 35024 986 5 Comptes Comptes NNP 35024 986 6 - - HYPH 35024 986 7 rendus rendus NNP 35024 986 8 de de NNP 35024 986 9 l'Académie l'Académie NNP 35024 986 10 des des NNP 35024 986 11 Sciences Sciences NNPS 35024 986 12 _ _ NNP 35024 986 13 ( ( -LRB- 35024 986 14 Paris Paris NNP 35024 986 15 , , , 35024 986 16 1879 1879 CD 35024 986 17 ) ) -RRB- 35024 986 18 , , , 35024 986 19 vol vol NNP 35024 986 20 . . . 35024 987 1 89 89 CD 35024 987 2 , , , 35024 987 3 p. p. NN 35024 987 4 462 462 CD 35024 987 5 . . . 35024 988 1 [ [ -LRB- 35024 988 2 67 67 CD 35024 988 3 ] ] -RRB- 35024 988 4 _ _ NNP 35024 988 5 Verhandlungen Verhandlungen NNP 35024 988 6 der der VBD 35024 988 7 vom vom NNS 35024 988 8 13 13 CD 35024 988 9 bis bi VBD 35024 988 10 16 16 CD 35024 988 11 September September NNP 35024 988 12 1880 1880 CD 35024 988 13 zu zu NFP 35024 988 14 München München NNP 35024 988 15 abgehaltenen abgehaltenen VB 35024 988 16 sechsten sechsten VBN 35024 988 17 allgemeinen allgemeinen NNP 35024 988 18 Conferenz Conferenz NNP 35024 988 19 der der NN 35024 988 20 Europäischen Europäischen NNP 35024 988 21 Gradmessung Gradmessung NNP 35024 988 22 _ _ NNP 35024 988 23 ( ( -LRB- 35024 988 24 Berlin Berlin NNP 35024 988 25 , , , 35024 988 26 1881 1881 CD 35024 988 27 ) ) -RRB- 35024 988 28 . . . 35024 989 1 [ [ -LRB- 35024 989 2 68 68 CD 35024 989 3 ] ] -RRB- 35024 989 4 Ibid Ibid NNP 35024 989 5 . . . 35024 989 6 , , , 35024 989 7 app app NN 35024 989 8 . . . 35024 990 1 2 2 LS 35024 990 2 . . . 35024 991 1 [ [ -LRB- 35024 991 2 69 69 CD 35024 991 3 ] ] -RRB- 35024 991 4 Ibid Ibid NNP 35024 991 5 . . . 35024 991 6 , , , 35024 991 7 app app NN 35024 991 8 . . . 35024 992 1 2a 2a CD 35024 992 2 . . . 35024 993 1 [ [ -LRB- 35024 993 2 70 70 CD 35024 993 3 ] ] -RRB- 35024 993 4 _ _ NNP 35024 993 5 Verhandlungen Verhandlungen NNP 35024 993 6 der der VBD 35024 993 7 vom vom NNS 35024 993 8 11 11 CD 35024 993 9 bis bis NN 35024 993 10 zum zum NNP 35024 993 11 15 15 CD 35024 993 12 September September NNP 35024 993 13 1882 1882 CD 35024 993 14 i -PRON- PRP 35024 993 15 m be VBP 35024 993 16 Haag Haag NNP 35024 993 17 Vereinigten Vereinigten NNP 35024 993 18 Permanenten Permanenten NNP 35024 993 19 Commission Commission NNP 35024 993 20 der der NN 35024 993 21 Europäischen Europäischen NNP 35024 993 22 Gradmessung Gradmessung NNP 35024 993 23 _ _ NNP 35024 993 24 ( ( -LRB- 35024 993 25 Berlin Berlin NNP 35024 993 26 , , , 35024 993 27 1883 1883 CD 35024 993 28 ) ) -RRB- 35024 993 29 . . . 35024 994 1 [ [ -LRB- 35024 994 2 71 71 CD 35024 994 3 ] ] -RRB- 35024 994 4 _ _ NNP 35024 994 5 Verhandlungen Verhandlungen NNP 35024 994 6 der der VBD 35024 994 7 vom vom NNS 35024 994 8 15 15 CD 35024 994 9 bis bi VBD 35024 994 10 24 24 CD 35024 994 11 Oktober Oktober NNP 35024 994 12 1883 1883 CD 35024 994 13 zu zu NFP 35024 994 14 Rom rom NN 35024 994 15 abgehaltenen abgehaltenen NN 35024 994 16 siebenten siebenten NN 35024 994 17 allgemeinen allgemeinen NNP 35024 994 18 Conferenz Conferenz NNP 35024 994 19 der der NN 35024 994 20 Europäischen Europäischen NNP 35024 994 21 Gradmessung Gradmessung NNP 35024 994 22 _ _ NNP 35024 994 23 ( ( -LRB- 35024 994 24 Berlin Berlin NNP 35024 994 25 , , , 35024 994 26 1884 1884 CD 35024 994 27 ) ) -RRB- 35024 994 28 . . . 35024 995 1 Gen. Gen. NNP 35024 995 2 Cutts Cutts NNP 35024 995 3 attended attend VBD 35024 995 4 for for IN 35024 995 5 the the DT 35024 995 6 U.S. U.S. NNP 35024 995 7 Coast Coast NNP 35024 995 8 and and CC 35024 995 9 Geodetic Geodetic NNP 35024 995 10 Survey Survey NNP 35024 995 11 . . . 35024 996 1 [ [ -LRB- 35024 996 2 72 72 CD 35024 996 3 ] ] -RRB- 35024 996 4 Ibid Ibid NNP 35024 996 5 . . . 35024 996 6 , , , 35024 996 7 app app NN 35024 996 8 . . . 35024 997 1 6 6 CD 35024 997 2 . . . 35024 998 1 See see VB 35024 998 2 also also RB 35024 998 3 , , , 35024 998 4 _ _ NNP 35024 998 5 Zeitschrift Zeitschrift NNP 35024 998 6 für für NN 35024 998 7 Instrumentenkunde Instrumentenkunde NNP 35024 998 8 _ _ NNP 35024 998 9 ( ( -LRB- 35024 998 10 1884 1884 CD 35024 998 11 ) ) -RRB- 35024 998 12 , , , 35024 998 13 vol vol NNP 35024 998 14 . . . 35024 999 1 4 4 LS 35024 999 2 , , , 35024 999 3 pp pp NNP 35024 999 4 . . . 35024 1000 1 303 303 CD 35024 1000 2 and and CC 35024 1000 3 379 379 CD 35024 1000 4 . . . 35024 1001 1 [ [ -LRB- 35024 1001 2 73 73 CD 35024 1001 3 ] ] -RRB- 35024 1001 4 Op Op NNP 35024 1001 5 . . . 35024 1002 1 cit cit NNP 35024 1002 2 . . . 35024 1003 1 ( ( -LRB- 35024 1003 2 footnote footnote NNP 35024 1003 3 67 67 CD 35024 1003 4 ) ) -RRB- 35024 1003 5 . . . 35024 1004 1 [ [ -LRB- 35024 1004 2 74 74 CD 35024 1004 3 ] ] -RRB- 35024 1004 4 _ _ NNP 35024 1004 5 Report Report NNP 35024 1004 6 of of IN 35024 1004 7 the the DT 35024 1004 8 Superintendent Superintendent NNP 35024 1004 9 of of IN 35024 1004 10 the the DT 35024 1004 11 U.S. U.S. NNP 35024 1004 12 Coast Coast NNP 35024 1004 13 and and CC 35024 1004 14 Geodetic Geodetic NNP 35024 1004 15 Survey Survey NNP 35024 1004 16 for for IN 35024 1004 17 1880 1880 CD 35024 1004 18 - - SYM 35024 1004 19 81 81 CD 35024 1004 20 _ _ NNP 35024 1004 21 ( ( -LRB- 35024 1004 22 Washington Washington NNP 35024 1004 23 , , , 35024 1004 24 1883 1883 CD 35024 1004 25 ) ) -RRB- 35024 1004 26 , , , 35024 1004 27 p. p. NN 35024 1004 28 26 26 CD 35024 1004 29 . . . 35024 1005 1 [ [ -LRB- 35024 1005 2 75 75 CD 35024 1005 3 ] ] -RRB- 35024 1005 4 _ _ NNP 35024 1005 5 Report Report NNP 35024 1005 6 of of IN 35024 1005 7 the the DT 35024 1005 8 Superintendent Superintendent NNP 35024 1005 9 of of IN 35024 1005 10 the the DT 35024 1005 11 U.S. U.S. NNP 35024 1005 12 Coast Coast NNP 35024 1005 13 and and CC 35024 1005 14 Geodetic Geodetic NNP 35024 1005 15 Survey Survey NNP 35024 1005 16 for for IN 35024 1005 17 1889 1889 CD 35024 1005 18 - - SYM 35024 1005 19 90 90 CD 35024 1005 20 _ _ NNP 35024 1005 21 ( ( -LRB- 35024 1005 22 Washington Washington NNP 35024 1005 23 , , , 35024 1005 24 1891 1891 CD 35024 1005 25 ) ) -RRB- 35024 1005 26 , , , 35024 1005 27 app app NN 35024 1005 28 . . . 35024 1006 1 no no UH 35024 1006 2 . . . 35024 1007 1 12 12 CD 35024 1007 2 . . . 35024 1008 1 [ [ -LRB- 35024 1008 2 76 76 CD 35024 1008 3 ] ] -RRB- 35024 1008 4 _ _ NNP 35024 1008 5 Report Report NNP 35024 1008 6 of of IN 35024 1008 7 the the DT 35024 1008 8 Superintendent Superintendent NNP 35024 1008 9 of of IN 35024 1008 10 the the DT 35024 1008 11 U.S. U.S. NNP 35024 1008 12 Coast Coast NNP 35024 1008 13 and and CC 35024 1008 14 Geodetic Geodetic NNP 35024 1008 15 Survey Survey NNP 35024 1008 16 for for IN 35024 1008 17 1881 1881 CD 35024 1008 18 - - SYM 35024 1008 19 82 82 CD 35024 1008 20 _ _ NNP 35024 1008 21 ( ( -LRB- 35024 1008 22 Washington Washington NNP 35024 1008 23 , , , 35024 1008 24 1883 1883 CD 35024 1008 25 ) ) -RRB- 35024 1008 26 . . . 35024 1009 1 [ [ -LRB- 35024 1009 2 77 77 CD 35024 1009 3 ] ] -RRB- 35024 1009 4 _ _ NNP 35024 1009 5 Transactions Transactions NNPS 35024 1009 6 of of IN 35024 1009 7 the the DT 35024 1009 8 Cambridge Cambridge NNP 35024 1009 9 Philosophical Philosophical NNP 35024 1009 10 Society Society NNP 35024 1009 11 _ _ NNP 35024 1009 12 ( ( -LRB- 35024 1009 13 1856 1856 CD 35024 1009 14 ) ) -RRB- 35024 1009 15 , , , 35024 1009 16 vol vol NNP 35024 1009 17 . . . 35024 1010 1 9 9 CD 35024 1010 2 , , , 35024 1010 3 part part NN 35024 1010 4 2 2 CD 35024 1010 5 , , , 35024 1010 6 p. p. NN 35024 1010 7 8 8 CD 35024 1010 8 . . . 35024 1011 1 Also also RB 35024 1011 2 published publish VBN 35024 1011 3 in in IN 35024 1011 4 _ _ NNP 35024 1011 5 Mathematical Mathematical NNP 35024 1011 6 and and CC 35024 1011 7 Physical Physical NNP 35024 1011 8 Papers Papers NNPS 35024 1011 9 _ _ NNP 35024 1011 10 ( ( -LRB- 35024 1011 11 Cambridge Cambridge NNP 35024 1011 12 , , , 35024 1011 13 1901 1901 CD 35024 1011 14 ) ) -RRB- 35024 1011 15 , , , 35024 1011 16 vol vol NNP 35024 1011 17 . . . 35024 1012 1 3 3 CD 35024 1012 2 , , , 35024 1012 3 p. p. NN 35024 1012 4 1 1 CD 35024 1012 5 . . . 35024 1013 1 [ [ -LRB- 35024 1013 2 78 78 CD 35024 1013 3 ] ] -RRB- 35024 1013 4 Peirce Peirce NNP 35024 1013 5 's 's POS 35024 1013 6 comparison comparison NN 35024 1013 7 of of IN 35024 1013 8 theory theory NN 35024 1013 9 and and CC 35024 1013 10 experiment experiment NN 35024 1013 11 is be VBZ 35024 1013 12 discussed discuss VBN 35024 1013 13 in in IN 35024 1013 14 a a DT 35024 1013 15 report report NN 35024 1013 16 on on IN 35024 1013 17 the the DT 35024 1013 18 Peirce Peirce NNP 35024 1013 19 memoir memoir NN 35024 1013 20 by by IN 35024 1013 21 WILLIAM WILLIAM NNP 35024 1013 22 FERREL FERREL NNP 35024 1013 23 , , , 35024 1013 24 dated date VBN 35024 1013 25 October October NNP 35024 1013 26 19 19 CD 35024 1013 27 , , , 35024 1013 28 1890 1890 CD 35024 1013 29 , , , 35024 1013 30 Martinsburg Martinsburg NNP 35024 1013 31 , , , 35024 1013 32 West West NNP 35024 1013 33 Virginia Virginia NNP 35024 1013 34 . . . 35024 1014 1 _ _ NNP 35024 1014 2 U.S. U.S. NNP 35024 1015 1 Coast Coast NNP 35024 1015 2 and and CC 35024 1015 3 Geodetic Geodetic NNP 35024 1015 4 Survey Survey NNP 35024 1015 5 , , , 35024 1015 6 Special Special NNP 35024 1015 7 Reports Reports NNPS 35024 1015 8 , , , 35024 1015 9 1887 1887 CD 35024 1015 10 - - SYM 35024 1015 11 1891 1891 CD 35024 1015 12 _ _ NNP 35024 1015 13 ( ( -LRB- 35024 1015 14 MS MS NNP 35024 1015 15 , , , 35024 1015 16 National National NNP 35024 1015 17 Archives Archives NNPS 35024 1015 18 , , , 35024 1015 19 Washington Washington NNP 35024 1015 20 ) ) -RRB- 35024 1015 21 . . . 35024 1016 1 [ [ -LRB- 35024 1016 2 79 79 CD 35024 1016 3 ] ] -RRB- 35024 1016 4 The the DT 35024 1016 5 stations station NNS 35024 1016 6 at at IN 35024 1016 7 which which WDT 35024 1016 8 observations observation NNS 35024 1016 9 were be VBD 35024 1016 10 conducted conduct VBN 35024 1016 11 with with IN 35024 1016 12 the the DT 35024 1016 13 Peirce Peirce NNP 35024 1016 14 pendulums pendulum NNS 35024 1016 15 are be VBP 35024 1016 16 recorded record VBN 35024 1016 17 in in IN 35024 1016 18 the the DT 35024 1016 19 reports report NNS 35024 1016 20 of of IN 35024 1016 21 the the DT 35024 1016 22 Superintendent Superintendent NNP 35024 1016 23 of of IN 35024 1016 24 the the DT 35024 1016 25 U.S. U.S. NNP 35024 1016 26 Coast Coast NNP 35024 1016 27 and and CC 35024 1016 28 Geodetic Geodetic NNP 35024 1016 29 Survey Survey NNP 35024 1016 30 from from IN 35024 1016 31 1881 1881 CD 35024 1016 32 to to IN 35024 1016 33 1890 1890 CD 35024 1016 34 . . . 35024 1017 1 [ [ -LRB- 35024 1017 2 80 80 CD 35024 1017 3 ] ] -RRB- 35024 1017 4 _ _ NNP 35024 1017 5 Comptes Comptes NNP 35024 1017 6 - - HYPH 35024 1017 7 rendus rendus NNP 35024 1017 8 de de NNP 35024 1017 9 l'Académie l'Académie NNP 35024 1017 10 des des NNP 35024 1017 11 Sciences Sciences NNPS 35024 1017 12 _ _ NNP 35024 1017 13 ( ( -LRB- 35024 1017 14 Paris Paris NNP 35024 1017 15 , , , 35024 1017 16 1880 1880 CD 35024 1017 17 ) ) -RRB- 35024 1017 18 , , , 35024 1017 19 vol vol NNP 35024 1017 20 . . . 35024 1018 1 90 90 CD 35024 1018 2 , , , 35024 1018 3 p. p. NN 35024 1018 4 1401 1401 CD 35024 1018 5 . . . 35024 1019 1 HERVÉ HERVÉ NNP 35024 1019 2 FAYE FAYE NNP 35024 1019 3 's 's POS 35024 1019 4 report report NN 35024 1019 5 , , , 35024 1019 6 dated date VBN 35024 1019 7 June June NNP 35024 1019 8 21 21 CD 35024 1019 9 , , , 35024 1019 10 1880 1880 CD 35024 1019 11 , , , 35024 1019 12 is be VBZ 35024 1019 13 in in IN 35024 1019 14 the the DT 35024 1019 15 same same JJ 35024 1019 16 _ _ NNP 35024 1019 17 Comptes Comptes NNP 35024 1019 18 - - HYPH 35024 1019 19 rendus rendus NNP 35024 1019 20 _ _ NNP 35024 1019 21 , , , 35024 1019 22 p. p. NN 35024 1019 23 1463 1463 CD 35024 1019 24 . . . 35024 1020 1 [ [ -LRB- 35024 1020 2 81 81 CD 35024 1020 3 ] ] -RRB- 35024 1020 4 COMMANDANT COMMANDANT NNP 35024 1020 5 C. C. NNP 35024 1020 6 DEFFORGES defforges NN 35024 1020 7 , , , 35024 1020 8 " " '' 35024 1020 9 Sur Sur NNP 35024 1020 10 l'Intensité l'Intensité NNP 35024 1020 11 absolue absolue NNP 35024 1020 12 de de FW 35024 1020 13 la la NNP 35024 1020 14 pesanteur pesanteur NNP 35024 1020 15 , , , 35024 1020 16 " " '' 35024 1020 17 _ _ NNP 35024 1020 18 Journal Journal NNP 35024 1020 19 de de NNP 35024 1020 20 Physique Physique NNP 35024 1020 21 _ _ NNP 35024 1020 22 ( ( -LRB- 35024 1020 23 1888 1888 CD 35024 1020 24 ) ) -RRB- 35024 1020 25 , , , 35024 1020 26 vol vol NNP 35024 1020 27 . . . 35024 1021 1 17 17 CD 35024 1021 2 , , , 35024 1021 3 pp pp ADD 35024 1021 4 . . . 35024 1022 1 239 239 CD 35024 1022 2 , , , 35024 1022 3 347 347 CD 35024 1022 4 , , , 35024 1022 5 455 455 CD 35024 1022 6 . . . 35024 1023 1 See see VB 35024 1023 2 also also RB 35024 1023 3 , , , 35024 1023 4 DEFFORGES defforges NN 35024 1023 5 , , , 35024 1023 6 " " '' 35024 1023 7 Observations observation NNS 35024 1023 8 du du VBP 35024 1023 9 pendule pendule NN 35024 1023 10 , , , 35024 1023 11 " " '' 35024 1023 12 _ _ NNP 35024 1023 13 Mémorial Mémorial NNP 35024 1023 14 du du NNP 35024 1023 15 Dépôt Dépôt NNP 35024 1023 16 général général JJ 35024 1023 17 de de FW 35024 1023 18 la la FW 35024 1023 19 Guerre Guerre NNP 35024 1023 20 _ _ NNP 35024 1023 21 ( ( -LRB- 35024 1023 22 Paris Paris NNP 35024 1023 23 , , , 35024 1023 24 1894 1894 CD 35024 1023 25 ) ) -RRB- 35024 1023 26 , , , 35024 1023 27 vol vol NNP 35024 1023 28 . . . 35024 1024 1 15 15 CD 35024 1024 2 . . . 35024 1025 1 In in IN 35024 1025 2 the the DT 35024 1025 3 latter latter JJ 35024 1025 4 work work NN 35024 1025 5 , , , 35024 1025 6 Defforges Defforges NNP 35024 1025 7 described describe VBD 35024 1025 8 a a DT 35024 1025 9 pendulum pendulum NN 35024 1025 10 " " `` 35024 1025 11 reversible reversible JJ 35024 1025 12 inversable inversable JJ 35024 1025 13 , , , 35024 1025 14 " " '' 35024 1025 15 which which WDT 35024 1025 16 he -PRON- PRP 35024 1025 17 declared declare VBD 35024 1025 18 to to TO 35024 1025 19 be be VB 35024 1025 20 truly truly RB 35024 1025 21 invariable invariable JJ 35024 1025 22 and and CC 35024 1025 23 therefore therefore RB 35024 1025 24 appropriate appropriate JJ 35024 1025 25 for for IN 35024 1025 26 relative relative JJ 35024 1025 27 determinations determination NNS 35024 1025 28 . . . 35024 1026 1 The the DT 35024 1026 2 knives knife NNS 35024 1026 3 remained remain VBD 35024 1026 4 fixed fix VBN 35024 1026 5 to to IN 35024 1026 6 the the DT 35024 1026 7 pendulums pendulum NNS 35024 1026 8 , , , 35024 1026 9 and and CC 35024 1026 10 the the DT 35024 1026 11 effect effect NN 35024 1026 12 of of IN 35024 1026 13 interchanging interchanging JJ 35024 1026 14 knives knife NNS 35024 1026 15 was be VBD 35024 1026 16 obtained obtain VBN 35024 1026 17 by by IN 35024 1026 18 interchanging interchange VBG 35024 1026 19 weights weight NNS 35024 1026 20 within within IN 35024 1026 21 the the DT 35024 1026 22 pendulum pendulum NN 35024 1026 23 tube tube NN 35024 1026 24 . . . 35024 1027 1 [ [ -LRB- 35024 1027 2 82 82 CD 35024 1027 3 ] ] -RRB- 35024 1027 4 Papers Papers NNP 35024 1027 5 by by IN 35024 1027 6 MAJ MAJ NNP 35024 1027 7 . . . 35024 1028 1 VON VON NNP 35024 1028 2 STERNECK STERNECK NNP 35024 1028 3 in in IN 35024 1028 4 _ _ NNP 35024 1028 5 Mitteilungen Mitteilungen NNP 35024 1028 6 des des NNP 35024 1028 7 K. K. NNP 35024 1028 8 u. u. NNP 35024 1028 9 K. K. NNP 35024 1028 10 Militär Militär NNP 35024 1028 11 - - HYPH 35024 1028 12 geographischen geographischen NNP 35024 1028 13 Instituts Instituts NNP 35024 1028 14 , , , 35024 1028 15 Wien Wien NNP 35024 1028 16 _ _ NNP 35024 1028 17 , , , 35024 1028 18 1882 1882 CD 35024 1028 19 - - SYM 35024 1028 20 87 87 CD 35024 1028 21 ; ; : 35024 1028 22 see see VB 35024 1028 23 , , , 35024 1028 24 in in IN 35024 1028 25 particular particular JJ 35024 1028 26 , , , 35024 1028 27 vol vol NNP 35024 1028 28 . . . 35024 1029 1 7 7 CD 35024 1029 2 ( ( -LRB- 35024 1029 3 1887 1887 CD 35024 1029 4 ) ) -RRB- 35024 1029 5 . . . 35024 1030 1 [ [ -LRB- 35024 1030 2 83 83 CD 35024 1030 3 ] ] -RRB- 35024 1030 4 T. T. NNP 35024 1030 5 C. C. NNP 35024 1030 6 MENDENHALL MENDENHALL NNP 35024 1030 7 , , , 35024 1030 8 " " '' 35024 1030 9 Determinations determination NNS 35024 1030 10 of of IN 35024 1030 11 Gravity Gravity NNP 35024 1030 12 with with IN 35024 1030 13 the the DT 35024 1030 14 New New NNP 35024 1030 15 Half half JJ 35024 1030 16 - - HYPH 35024 1030 17 Second Second NNP 35024 1030 18 Pendulum Pendulum NNP 35024 1030 19 ... ... NFP 35024 1030 20 , , , 35024 1030 21 " " `` 35024 1030 22 _ _ NNP 35024 1030 23 Report Report NNP 35024 1030 24 of of IN 35024 1030 25 the the DT 35024 1030 26 Superintendent Superintendent NNP 35024 1030 27 of of IN 35024 1030 28 the the DT 35024 1030 29 U.S. U.S. NNP 35024 1030 30 Coast Coast NNP 35024 1030 31 and and CC 35024 1030 32 Geodetic Geodetic NNP 35024 1030 33 Survey Survey NNP 35024 1030 34 for for IN 35024 1030 35 1890 1890 CD 35024 1030 36 - - SYM 35024 1030 37 91 91 CD 35024 1030 38 _ _ NNP 35024 1030 39 ( ( -LRB- 35024 1030 40 Washington Washington NNP 35024 1030 41 , , , 35024 1030 42 1892 1892 CD 35024 1030 43 ) ) -RRB- 35024 1030 44 , , , 35024 1030 45 part part NN 35024 1030 46 2 2 CD 35024 1030 47 , , , 35024 1030 48 pp pp NNP 35024 1030 49 . . . 35024 1031 1 503 503 CD 35024 1031 2 - - SYM 35024 1031 3 564 564 CD 35024 1031 4 . . . 35024 1032 1 [ [ -LRB- 35024 1032 2 84 84 CD 35024 1032 3 ] ] -RRB- 35024 1032 4 W. W. NNP 35024 1032 5 H. H. NNP 35024 1032 6 BURGER BURGER NNP 35024 1032 7 , , , 35024 1032 8 " " `` 35024 1032 9 The the DT 35024 1032 10 Measurement Measurement NNP 35024 1032 11 of of IN 35024 1032 12 the the DT 35024 1032 13 Flexure Flexure NNP 35024 1032 14 of of IN 35024 1032 15 Pendulum Pendulum NNP 35024 1032 16 Supports Supports NNP 35024 1032 17 with with IN 35024 1032 18 the the DT 35024 1032 19 Interferometer Interferometer NNP 35024 1032 20 , , , 35024 1032 21 " " '' 35024 1032 22 _ _ NNP 35024 1032 23 Report Report NNP 35024 1032 24 of of IN 35024 1032 25 the the DT 35024 1032 26 Superintendent Superintendent NNP 35024 1032 27 of of IN 35024 1032 28 the the DT 35024 1032 29 U.S. U.S. NNP 35024 1032 30 Coast Coast NNP 35024 1032 31 and and CC 35024 1032 32 Geodetic Geodetic NNP 35024 1032 33 Survey Survey NNP 35024 1032 34 for for IN 35024 1032 35 1909 1909 CD 35024 1032 36 - - SYM 35024 1032 37 10 10 CD 35024 1032 38 _ _ NNP 35024 1032 39 ( ( -LRB- 35024 1032 40 Washington Washington NNP 35024 1032 41 , , , 35024 1032 42 1911 1911 CD 35024 1032 43 ) ) -RRB- 35024 1032 44 , , , 35024 1032 45 app app NN 35024 1032 46 . . . 35024 1033 1 no no UH 35024 1033 2 . . . 35024 1034 1 6 6 CD 35024 1034 2 . . . 35024 1035 1 [ [ -LRB- 35024 1035 2 85 85 CD 35024 1035 3 ] ] -RRB- 35024 1035 4 E. E. NNP 35024 1035 5 J. J. NNP 35024 1036 1 BROWN BROWN NNP 35024 1036 2 , , , 35024 1036 3 _ _ NNP 35024 1036 4 A A NNP 35024 1036 5 Determination Determination NNP 35024 1036 6 of of IN 35024 1036 7 the the DT 35024 1036 8 Relative relative JJ 35024 1036 9 Values value NNS 35024 1036 10 of of IN 35024 1036 11 Gravity Gravity NNP 35024 1036 12 at at IN 35024 1036 13 Potsdam Potsdam NNP 35024 1036 14 and and CC 35024 1036 15 Washington Washington NNP 35024 1036 16 _ _ NNP 35024 1036 17 ( ( -LRB- 35024 1036 18 Special Special NNP 35024 1036 19 Publication Publication NNP 35024 1036 20 No no UH 35024 1036 21 . . . 35024 1037 1 204 204 CD 35024 1037 2 , , , 35024 1037 3 U.S. U.S. NNP 35024 1037 4 Coast Coast NNP 35024 1037 5 and and CC 35024 1037 6 Geodetic Geodetic NNP 35024 1037 7 Survey Survey NNP 35024 1037 8 ; ; : 35024 1037 9 Washington Washington NNP 35024 1037 10 , , , 35024 1037 11 1936 1936 CD 35024 1037 12 ) ) -RRB- 35024 1037 13 . . . 35024 1038 1 [ [ -LRB- 35024 1038 2 86 86 CD 35024 1038 3 ] ] -RRB- 35024 1038 4 M. M. NNP 35024 1038 5 HAID HAID NNP 35024 1038 6 , , , 35024 1038 7 " " `` 35024 1038 8 Neues Neues NNP 35024 1038 9 Pendelstativ Pendelstativ NNP 35024 1038 10 , , , 35024 1038 11 " " '' 35024 1038 12 _ _ NNP 35024 1038 13 Zeitschrift Zeitschrift NNP 35024 1038 14 für für NN 35024 1038 15 Instrumentenkunde Instrumentenkunde NNP 35024 1038 16 _ _ NNP 35024 1038 17 ( ( -LRB- 35024 1038 18 July July NNP 35024 1038 19 1896 1896 CD 35024 1038 20 ) ) -RRB- 35024 1038 21 , , , 35024 1038 22 vol vol NNP 35024 1038 23 . . . 35024 1039 1 16 16 CD 35024 1039 2 , , , 35024 1039 3 p. p. NN 35024 1039 4 193 193 CD 35024 1039 5 . . . 35024 1040 1 [ [ -LRB- 35024 1040 2 87 87 CD 35024 1040 3 ] ] -RRB- 35024 1040 4 DR DR NNP 35024 1040 5 . . . 35024 1040 6 R. R. NNP 35024 1040 7 SCHUMANN SCHUMANN NNP 35024 1040 8 , , , 35024 1040 9 " " '' 35024 1040 10 Über Über NNP 35024 1040 11 eine eine NN 35024 1040 12 Methode Methode NNP 35024 1040 13 , , , 35024 1040 14 das das NNP 35024 1040 15 Mitschwingen Mitschwingen NNP 35024 1040 16 bei bei VBD 35024 1040 17 relativen relativen NNP 35024 1040 18 Schweremessungen Schweremessungen NNP 35024 1040 19 zu zu NNP 35024 1040 20 bestimmen bestimman NNS 35024 1040 21 , , , 35024 1040 22 " " '' 35024 1040 23 _ _ NNP 35024 1040 24 Zeitschrift Zeitschrift NNP 35024 1040 25 für für NN 35024 1040 26 Instrumentenkunde Instrumentenkunde NNP 35024 1040 27 _ _ NNP 35024 1040 28 ( ( -LRB- 35024 1040 29 January January NNP 35024 1040 30 1897 1897 CD 35024 1040 31 ) ) -RRB- 35024 1040 32 , , , 35024 1040 33 vol vol NNP 35024 1040 34 . . . 35024 1041 1 17 17 CD 35024 1041 2 , , , 35024 1041 3 p. p. NN 35024 1041 4 7 7 CD 35024 1041 5 . . . 35024 1042 1 The the DT 35024 1042 2 design design NN 35024 1042 3 for for IN 35024 1042 4 the the DT 35024 1042 5 stand stand NN 35024 1042 6 is be VBZ 35024 1042 7 similar similar JJ 35024 1042 8 to to IN 35024 1042 9 that that DT 35024 1042 10 of of IN 35024 1042 11 Peirce Peirce NNP 35024 1042 12 's 's POS 35024 1042 13 of of IN 35024 1042 14 1879 1879 CD 35024 1042 15 . . . 35024 1043 1 [ [ -LRB- 35024 1043 2 88 88 CD 35024 1043 3 ] ] -RRB- 35024 1043 4 DR DR NNP 35024 1043 5 . . . 35024 1043 6 R. R. NNP 35024 1043 7 SCHUMANN SCHUMANN NNP 35024 1043 8 , , , 35024 1043 9 " " `` 35024 1043 10 Über Über NNP 35024 1043 11 die die VBP 35024 1043 12 Verwendung Verwendung NNP 35024 1043 13 zweier zweier NNP 35024 1043 14 Pendel Pendel NNP 35024 1043 15 auf auf NN 35024 1043 16 gemeinsamer gemeinsamer NN 35024 1043 17 Unterlage Unterlage NNP 35024 1043 18 zur zur NN 35024 1043 19 Bestimmung Bestimmung NNP 35024 1043 20 der der VBP 35024 1043 21 Mitschwingung Mitschwingung NNP 35024 1043 22 , , , 35024 1043 23 " " `` 35024 1043 24 _ _ NNP 35024 1043 25 Zeitschrift Zeitschrift NNP 35024 1043 26 für für NN 35024 1043 27 Mathematik Mathematik NNP 35024 1043 28 und und VBP 35024 1043 29 Physik Physik NNP 35024 1043 30 _ _ NNP 35024 1043 31 ( ( -LRB- 35024 1043 32 1899 1899 CD 35024 1043 33 ) ) -RRB- 35024 1043 34 , , , 35024 1043 35 vol vol NNP 35024 1043 36 . . . 35024 1044 1 44 44 CD 35024 1044 2 , , , 35024 1044 3 p. p. NN 35024 1044 4 44 44 CD 35024 1044 5 . . . 35024 1045 1 [ [ -LRB- 35024 1045 2 89 89 CD 35024 1045 3 ] ] -RRB- 35024 1045 4 P. P. NNP 35024 1045 5 FURTWÄNGLER FURTWÄNGLER NNP 35024 1045 6 , , , 35024 1045 7 " " `` 35024 1045 8 Über Über NNP 35024 1045 9 die die VBP 35024 1045 10 Schwingungen Schwingungen NNP 35024 1045 11 zweier zweier NN 35024 1045 12 Pendel Pendel NNP 35024 1045 13 mit mit NN 35024 1045 14 annähernd annähernd JJ 35024 1045 15 gleicher gleicher NN 35024 1045 16 Schwingungsdauer Schwingungsdauer NNP 35024 1045 17 auf auf NN 35024 1045 18 gemeinsamer gemeinsamer NN 35024 1045 19 Unterlage Unterlage NNP 35024 1045 20 , , , 35024 1045 21 " " '' 35024 1045 22 _ _ NNP 35024 1045 23 Sitzungsberichte Sitzungsberichte NNP 35024 1045 24 der der NN 35024 1045 25 Königlicher Königlicher NNP 35024 1045 26 Preussischen Preussischen NNP 35024 1045 27 Akademie Akademie NNP 35024 1045 28 der der XX 35024 1045 29 Wissenschaften Wissenschaften NNP 35024 1045 30 zu zu FW 35024 1045 31 Berlin Berlin NNP 35024 1045 32 _ _ NNP 35024 1045 33 ( ( -LRB- 35024 1045 34 Berlin Berlin NNP 35024 1045 35 , , , 35024 1045 36 1902 1902 CD 35024 1045 37 ) ) -RRB- 35024 1045 38 pp pp NNP 35024 1045 39 . . . 35024 1046 1 245 245 CD 35024 1046 2 - - SYM 35024 1046 3 253 253 CD 35024 1046 4 . . . 35024 1047 1 Peirce Peirce NNP 35024 1047 2 investigated investigate VBD 35024 1047 3 the the DT 35024 1047 4 plan plan NN 35024 1047 5 of of IN 35024 1047 6 swinging swinge VBG 35024 1047 7 two two CD 35024 1047 8 pendulums pendulum NNS 35024 1047 9 on on IN 35024 1047 10 the the DT 35024 1047 11 same same JJ 35024 1047 12 stand stand NN 35024 1047 13 ( ( -LRB- 35024 1047 14 _ _ NNP 35024 1047 15 Report Report NNP 35024 1047 16 of of IN 35024 1047 17 the the DT 35024 1047 18 Superintendent Superintendent NNP 35024 1047 19 of of IN 35024 1047 20 the the DT 35024 1047 21 U.S. U.S. NNP 35024 1047 22 Coast Coast NNP 35024 1047 23 and and CC 35024 1047 24 Geodetic Geodetic NNP 35024 1047 25 Survey Survey NNP 35024 1047 26 for for IN 35024 1047 27 1880 1880 CD 35024 1047 28 - - SYM 35024 1047 29 81 81 CD 35024 1047 30 _ _ NNP 35024 1047 31 , , , 35024 1047 32 Washington Washington NNP 35024 1047 33 , , , 35024 1047 34 1883 1883 CD 35024 1047 35 , , , 35024 1047 36 p. p. NN 35024 1047 37 26 26 CD 35024 1047 38 ; ; : 35024 1047 39 also also RB 35024 1047 40 in in IN 35024 1047 41 CHARLES CHARLES NNP 35024 1047 42 SANDERS SANDERS NNPS 35024 1047 43 PEIRCE PEIRCE NNP 35024 1047 44 , , , 35024 1047 45 _ _ NNP 35024 1047 46 Collected Collected NNP 35024 1047 47 Papers Papers NNP 35024 1047 48 _ _ NNP 35024 1047 49 , , , 35024 1047 50 6.273 6.273 CD 35024 1047 51 ) ) -RRB- 35024 1047 52 . . . 35024 1048 1 At at IN 35024 1048 2 a a DT 35024 1048 3 conference conference NN 35024 1048 4 on on IN 35024 1048 5 gravity gravity NN 35024 1048 6 held hold VBN 35024 1048 7 in in IN 35024 1048 8 Washington Washington NNP 35024 1048 9 during during IN 35024 1048 10 May May NNP 35024 1048 11 1882 1882 CD 35024 1048 12 , , , 35024 1048 13 Peirce Peirce NNP 35024 1048 14 again again RB 35024 1048 15 advanced advance VBD 35024 1048 16 the the DT 35024 1048 17 method method NN 35024 1048 18 of of IN 35024 1048 19 eliminating eliminate VBG 35024 1048 20 flexure flexure NN 35024 1048 21 by by IN 35024 1048 22 hanging hang VBG 35024 1048 23 two two CD 35024 1048 24 pendulums pendulum NNS 35024 1048 25 on on IN 35024 1048 26 one one CD 35024 1048 27 support support NN 35024 1048 28 and and CC 35024 1048 29 oscillating oscillate VBG 35024 1048 30 them -PRON- PRP 35024 1048 31 in in IN 35024 1048 32 antiphase antiphase NNP 35024 1048 33 ( ( -LRB- 35024 1048 34 " " `` 35024 1048 35 Report Report NNP 35024 1048 36 of of IN 35024 1048 37 a a DT 35024 1048 38 conference conference NN 35024 1048 39 on on IN 35024 1048 40 gravity gravity NN 35024 1048 41 determinations determination NNS 35024 1048 42 held hold VBN 35024 1048 43 in in IN 35024 1048 44 Washington Washington NNP 35024 1048 45 , , , 35024 1048 46 D.C. D.C. NNP 35024 1048 47 , , , 35024 1048 48 in in IN 35024 1048 49 May May NNP 35024 1048 50 , , , 35024 1048 51 1882 1882 CD 35024 1048 52 , , , 35024 1048 53 " " `` 35024 1048 54 _ _ NNP 35024 1048 55 Report Report NNP 35024 1048 56 of of IN 35024 1048 57 the the DT 35024 1048 58 Superintendent Superintendent NNP 35024 1048 59 of of IN 35024 1048 60 the the DT 35024 1048 61 U.S. U.S. NNP 35024 1048 62 Coast Coast NNP 35024 1048 63 and and CC 35024 1048 64 Geodetic Geodetic NNP 35024 1048 65 Survey Survey NNP 35024 1048 66 for for IN 35024 1048 67 1881 1881 CD 35024 1048 68 - - SYM 35024 1048 69 82 82 CD 35024 1048 70 _ _ NNP 35024 1048 71 , , , 35024 1048 72 Washington Washington NNP 35024 1048 73 , , , 35024 1048 74 1883 1883 CD 35024 1048 75 , , , 35024 1048 76 app app NN 35024 1048 77 . . . 35024 1049 1 no no UH 35024 1049 2 . . . 35024 1050 1 22 22 CD 35024 1050 2 , , , 35024 1050 3 pp pp NNP 35024 1050 4 . . . 35024 1051 1 503 503 CD 35024 1051 2 - - SYM 35024 1051 3 516 516 CD 35024 1051 4 ) ) -RRB- 35024 1051 5 . . . 35024 1052 1 [ [ -LRB- 35024 1052 2 90 90 CD 35024 1052 3 ] ] -RRB- 35024 1052 4 F. F. NNP 35024 1052 5 A. a. NN 35024 1052 6 VENING VENING NNP 35024 1052 7 MEINESZ MEINESZ NNP 35024 1052 8 , , , 35024 1052 9 _ _ NNP 35024 1052 10 Observations Observations NNP 35024 1052 11 de de NNP 35024 1052 12 pendule pendule NN 35024 1052 13 dans dan NNS 35024 1052 14 les les VBP 35024 1052 15 Pays Pays NNP 35024 1052 16 - - HYPH 35024 1052 17 Bas Bas NNP 35024 1052 18 _ _ NNP 35024 1052 19 ( ( -LRB- 35024 1052 20 Delft Delft NNP 35024 1052 21 , , , 35024 1052 22 1923 1923 CD 35024 1052 23 ) ) -RRB- 35024 1052 24 . . . 35024 1053 1 [ [ -LRB- 35024 1053 2 91 91 CD 35024 1053 3 ] ] -RRB- 35024 1053 4 A. a. NN 35024 1053 5 BERROTH BERROTH NNP 35024 1053 6 , , , 35024 1053 7 " " '' 35024 1053 8 Schweremessungen Schweremessungen NNP 35024 1053 9 mit mit NNP 35024 1053 10 zwei zwei NNP 35024 1053 11 und und RP 35024 1053 12 vier vier NNP 35024 1053 13 gleichzeitig gleichzeitig NNP 35024 1053 14 auf auf NNP 35024 1053 15 demselben demselben NNP 35024 1053 16 Stativ Stativ NNP 35024 1053 17 schwingenden schwingenden NN 35024 1053 18 Pendeln Pendeln NNP 35024 1053 19 , , , 35024 1053 20 " " '' 35024 1053 21 _ _ NNP 35024 1053 22 Zeitschrift Zeitschrift NNP 35024 1053 23 für für NN 35024 1053 24 Geophysik Geophysik NNP 35024 1053 25 _ _ NNP 35024 1053 26 , , , 35024 1053 27 vol vol NNP 35024 1053 28 . . . 35024 1054 1 1 1 CD 35024 1054 2 ( ( -LRB- 35024 1054 3 1924 1924 CD 35024 1054 4 - - SYM 35024 1054 5 25 25 CD 35024 1054 6 ) ) -RRB- 35024 1054 7 , , , 35024 1054 8 no no UH 35024 1054 9 . . . 35024 1055 1 3 3 CD 35024 1055 2 , , , 35024 1055 3 p. p. NN 35024 1055 4 93 93 CD 35024 1055 5 . . . 35024 1056 1 [ [ -LRB- 35024 1056 2 92 92 CD 35024 1056 3 ] ] -RRB- 35024 1056 4 " " `` 35024 1056 5 Pendulum Pendulum NNP 35024 1056 6 Apparatus Apparatus NNP 35024 1056 7 for for IN 35024 1056 8 Gravity Gravity NNP 35024 1056 9 Determinations Determinations NNPS 35024 1056 10 , , , 35024 1056 11 " " '' 35024 1056 12 _ _ NNP 35024 1056 13 Engineering Engineering NNP 35024 1056 14 _ _ NNP 35024 1056 15 ( ( -LRB- 35024 1056 16 1926 1926 CD 35024 1056 17 ) ) -RRB- 35024 1056 18 , , , 35024 1056 19 vol vol NNP 35024 1056 20 . . . 35024 1057 1 122 122 CD 35024 1057 2 , , , 35024 1057 3 pp pp NNP 35024 1057 4 . . . 35024 1058 1 271 271 CD 35024 1058 2 - - SYM 35024 1058 3 272 272 CD 35024 1058 4 . . . 35024 1059 1 [ [ -LRB- 35024 1059 2 93 93 CD 35024 1059 3 ] ] -RRB- 35024 1059 4 MALCOLM MALCOLM NNP 35024 1059 5 W. W. NNP 35024 1059 6 GAY GAY NNP 35024 1059 7 , , , 35024 1059 8 " " `` 35024 1059 9 Relative relative JJ 35024 1059 10 Gravity Gravity NNP 35024 1059 11 Measurements Measurements NNPS 35024 1059 12 Using Using NNP 35024 1059 13 Precision Precision NNP 35024 1059 14 Pendulum Pendulum NNP 35024 1059 15 Equipment Equipment NNP 35024 1059 16 , , , 35024 1059 17 " " '' 35024 1059 18 _ _ NNP 35024 1059 19 Geophysics Geophysics NNP 35024 1059 20 _ _ NNP 35024 1059 21 ( ( -LRB- 35024 1059 22 1940 1940 CD 35024 1059 23 ) ) -RRB- 35024 1059 24 , , , 35024 1059 25 vol vol NNP 35024 1059 26 . . . 35024 1060 1 5 5 CD 35024 1060 2 , , , 35024 1060 3 pp pp NNP 35024 1060 4 . . . 35024 1061 1 176 176 CD 35024 1061 2 - - SYM 35024 1061 3 191 191 CD 35024 1061 4 . . . 35024 1062 1 [ [ -LRB- 35024 1062 2 94 94 CD 35024 1062 3 ] ] -RRB- 35024 1062 4 L. L. NNP 35024 1062 5 G. G. NNP 35024 1062 6 D. D. NNP 35024 1062 7 THOMPSON THOMPSON NNP 35024 1062 8 , , , 35024 1062 9 " " '' 35024 1062 10 An an DT 35024 1062 11 Improved Improved NNP 35024 1062 12 Bronze Bronze NNP 35024 1062 13 Pendulum Pendulum NNP 35024 1062 14 Apparatus Apparatus NNP 35024 1062 15 for for IN 35024 1062 16 Relative Relative NNP 35024 1062 17 Gravity Gravity NNP 35024 1062 18 Determinations Determinations NNPS 35024 1062 19 , , , 35024 1062 20 " " '' 35024 1062 21 [ [ -LRB- 35024 1062 22 published publish VBN 35024 1062 23 by by IN 35024 1062 24 ] ] -RRB- 35024 1062 25 _ _ NNP 35024 1062 26 Dominion Dominion NNP 35024 1062 27 Observatory Observatory NNP 35024 1062 28 _ _ NNP 35024 1062 29 ( ( -LRB- 35024 1062 30 Ottawa Ottawa NNP 35024 1062 31 , , , 35024 1062 32 1959 1959 CD 35024 1062 33 ) ) -RRB- 35024 1062 34 , , , 35024 1062 35 vol vol NNP 35024 1062 36 . . . 35024 1063 1 21 21 CD 35024 1063 2 , , , 35024 1063 3 no no UH 35024 1063 4 . . . 35024 1064 1 3 3 CD 35024 1064 2 , , , 35024 1064 3 pp pp NNP 35024 1064 4 . . . 35024 1065 1 145 145 CD 35024 1065 2 - - SYM 35024 1065 3 176 176 CD 35024 1065 4 . . . 35024 1066 1 [ [ -LRB- 35024 1066 2 95 95 CD 35024 1066 3 ] ] -RRB- 35024 1066 4 W. W. NNP 35024 1066 5 A. A. NNP 35024 1066 6 HEISKANEN HEISKANEN NNP 35024 1066 7 and and CC 35024 1066 8 F. F. NNP 35024 1066 9 A. a. NN 35024 1066 10 VENING VENING NNP 35024 1066 11 MEINESZ MEINESZ NNP 35024 1066 12 , , , 35024 1066 13 _ _ NNP 35024 1066 14 The the DT 35024 1066 15 Earth Earth NNP 35024 1066 16 and and CC 35024 1066 17 its -PRON- PRP$ 35024 1066 18 Gravity Gravity NNP 35024 1066 19 Field Field NNP 35024 1066 20 _ _ NNP 35024 1066 21 ( ( -LRB- 35024 1066 22 McGraw McGraw NNP 35024 1066 23 : : : 35024 1066 24 New New NNP 35024 1066 25 York York NNP 35024 1066 26 , , , 35024 1066 27 1958 1958 CD 35024 1066 28 ) ) -RRB- 35024 1066 29 . . . 35024 1067 1 [ [ -LRB- 35024 1067 2 96 96 CD 35024 1067 3 ] ] -RRB- 35024 1067 4 F. F. NNP 35024 1067 5 KÜHNEN KÜHNEN NNP 35024 1067 6 and and CC 35024 1067 7 P. P. NNP 35024 1067 8 FURTWÄNGLER FURTWÄNGLER NNP 35024 1067 9 , , , 35024 1067 10 _ _ NNP 35024 1067 11 Bestimmung Bestimmung NNP 35024 1067 12 der der VBP 35024 1067 13 Absoluten Absoluten NNP 35024 1067 14 Grösze Grösze NNP 35024 1067 15 der der NN 35024 1067 16 Schwerkraft schwerkraft NN 35024 1067 17 zu zu NN 35024 1067 18 Potsdam Potsdam NNP 35024 1067 19 mit mit NN 35024 1067 20 Reversionspendeln Reversionspendeln NNP 35024 1067 21 _ _ NNP 35024 1067 22 ( ( -LRB- 35024 1067 23 Berlin Berlin NNP 35024 1067 24 : : : 35024 1067 25 Veröffentlichungen Veröffentlichungen NNP 35024 1067 26 des des FW 35024 1067 27 Königlichen Königlichen NNP 35024 1067 28 Preussischen Preussischen NNP 35024 1067 29 Geodätischen Geodätischen NNP 35024 1067 30 Instituts Instituts NNP 35024 1067 31 , , , 35024 1067 32 1906 1906 CD 35024 1067 33 ) ) -RRB- 35024 1067 34 , , , 35024 1067 35 new new NNP 35024 1067 36 ser ser NNP 35024 1067 37 . . . 35024 1067 38 , , , 35024 1067 39 no no UH 35024 1067 40 . . . 35024 1068 1 27 27 CD 35024 1068 2 . . . 35024 1069 1 [ [ -LRB- 35024 1069 2 97 97 CD 35024 1069 3 ] ] -RRB- 35024 1069 4 Reported report VBN 35024 1069 5 by by IN 35024 1069 6 Dr. Dr. NNP 35024 1069 7 F. F. NNP 35024 1069 8 Kühnen Kühnen NNP 35024 1069 9 to to IN 35024 1069 10 the the DT 35024 1069 11 fifth fifth JJ 35024 1069 12 session session NN 35024 1069 13 , , , 35024 1069 14 October October NNP 35024 1069 15 9 9 CD 35024 1069 16 , , , 35024 1069 17 1895 1895 CD 35024 1069 18 , , , 35024 1069 19 of of IN 35024 1069 20 the the DT 35024 1069 21 Eleventh Eleventh NNP 35024 1069 22 General General NNP 35024 1069 23 Conference Conference NNP 35024 1069 24 , , , 35024 1069 25 _ _ NNP 35024 1069 26 Die Die NNP 35024 1069 27 Internationale Internationale NNP 35024 1069 28 Erdmessung Erdmessung NNP 35024 1069 29 _ _ NNP 35024 1069 30 , , , 35024 1069 31 held hold VBN 35024 1069 32 in in IN 35024 1069 33 Berlin Berlin NNP 35024 1069 34 from from IN 35024 1069 35 September September NNP 35024 1069 36 25 25 CD 35024 1069 37 to to IN 35024 1069 38 October October NNP 35024 1069 39 12 12 CD 35024 1069 40 , , , 35024 1069 41 1895 1895 CD 35024 1069 42 . . . 35024 1070 1 A a DT 35024 1070 2 footnote footnote NN 35024 1070 3 states state VBZ 35024 1070 4 that that IN 35024 1070 5 Assistant Assistant NNP 35024 1070 6 O. O. NNP 35024 1070 7 H. H. NNP 35024 1070 8 Tittmann Tittmann NNP 35024 1070 9 , , , 35024 1070 10 who who WP 35024 1070 11 represented represent VBD 35024 1070 12 the the DT 35024 1070 13 United United NNP 35024 1070 14 States States NNP 35024 1070 15 , , , 35024 1070 16 subsequently subsequently RB 35024 1070 17 reported report VBD 35024 1070 18 Peirce Peirce NNP 35024 1070 19 's 's POS 35024 1070 20 prior prior JJ 35024 1070 21 discovery discovery NN 35024 1070 22 of of IN 35024 1070 23 the the DT 35024 1070 24 influence influence NN 35024 1070 25 of of IN 35024 1070 26 the the DT 35024 1070 27 flexure flexure NN 35024 1070 28 of of IN 35024 1070 29 the the DT 35024 1070 30 pendulum pendulum NN 35024 1070 31 itself -PRON- PRP 35024 1070 32 upon upon IN 35024 1070 33 the the DT 35024 1070 34 period period NN 35024 1070 35 ( ( -LRB- 35024 1070 36 _ _ NNP 35024 1070 37 Report Report NNP 35024 1070 38 of of IN 35024 1070 39 the the DT 35024 1070 40 Superintendent Superintendent NNP 35024 1070 41 of of IN 35024 1070 42 the the DT 35024 1070 43 U.S. U.S. NNP 35024 1070 44 Coast Coast NNP 35024 1070 45 and and CC 35024 1070 46 Geodetic Geodetic NNP 35024 1070 47 Survey Survey NNP 35024 1070 48 for for IN 35024 1070 49 1883 1883 CD 35024 1070 50 - - SYM 35024 1070 51 84 84 CD 35024 1070 52 _ _ NNP 35024 1070 53 , , , 35024 1070 54 Washington Washington NNP 35024 1070 55 , , , 35024 1070 56 1885 1885 CD 35024 1070 57 , , , 35024 1070 58 app app NN 35024 1070 59 . . . 35024 1071 1 16 16 CD 35024 1071 2 , , , 35024 1071 3 pp pp NNP 35024 1071 4 . . . 35024 1072 1 483 483 CD 35024 1072 2 - - SYM 35024 1072 3 485 485 CD 35024 1072 4 ) ) -RRB- 35024 1072 5 . . . 35024 1073 1 [ [ -LRB- 35024 1073 2 98 98 CD 35024 1073 3 ] ] -RRB- 35024 1073 4 _ _ NNP 35024 1073 5 Assistants Assistants NNP 35024 1073 6 ' ' POS 35024 1073 7 Reports report NNS 35024 1073 8 , , , 35024 1073 9 U.S. U.S. NNP 35024 1073 10 Coast Coast NNP 35024 1073 11 and and CC 35024 1073 12 Geodetic Geodetic NNP 35024 1073 13 Survey Survey NNP 35024 1073 14 , , , 35024 1073 15 1883 1883 CD 35024 1073 16 - - SYM 35024 1073 17 84 84 CD 35024 1073 18 _ _ NNP 35024 1073 19 ( ( -LRB- 35024 1073 20 MS MS NNP 35024 1073 21 , , , 35024 1073 22 National National NNP 35024 1073 23 Archives Archives NNPS 35024 1073 24 , , , 35024 1073 25 Washington Washington NNP 35024 1073 26 ) ) -RRB- 35024 1073 27 . . . 35024 1074 1 [ [ -LRB- 35024 1074 2 99 99 CD 35024 1074 3 ] ] -RRB- 35024 1074 4 C. C. NNP 35024 1074 5 S. S. NNP 35024 1074 6 PEIRCE PEIRCE NNP 35024 1074 7 , , , 35024 1074 8 " " `` 35024 1074 9 Effect effect NN 35024 1074 10 of of IN 35024 1074 11 the the DT 35024 1074 12 Flexure Flexure NNP 35024 1074 13 of of IN 35024 1074 14 a a DT 35024 1074 15 Pendulum Pendulum NNP 35024 1074 16 Upon upon IN 35024 1074 17 its -PRON- PRP$ 35024 1074 18 Period Period NNP 35024 1074 19 of of IN 35024 1074 20 Oscillation Oscillation NNP 35024 1074 21 , , , 35024 1074 22 " " '' 35024 1074 23 _ _ NNP 35024 1074 24 Report Report NNP 35024 1074 25 of of IN 35024 1074 26 the the DT 35024 1074 27 Superintendent Superintendent NNP 35024 1074 28 of of IN 35024 1074 29 the the DT 35024 1074 30 U.S. U.S. NNP 35024 1074 31 Coast Coast NNP 35024 1074 32 and and CC 35024 1074 33 Geodetic Geodetic NNP 35024 1074 34 Survey Survey NNP 35024 1074 35 for for IN 35024 1074 36 1883 1883 CD 35024 1074 37 - - SYM 35024 1074 38 84 84 CD 35024 1074 39 _ _ NNP 35024 1074 40 ( ( -LRB- 35024 1074 41 Washington Washington NNP 35024 1074 42 , , , 35024 1074 43 1885 1885 CD 35024 1074 44 ) ) -RRB- 35024 1074 45 , , , 35024 1074 46 app app NN 35024 1074 47 . . . 35024 1075 1 no no UH 35024 1075 2 . . . 35024 1076 1 16 16 CD 35024 1076 2 . . . 35024 1077 1 [ [ -LRB- 35024 1077 2 100 100 CD 35024 1077 3 ] ] -RRB- 35024 1077 4 F. F. NNP 35024 1077 5 R. R. NNP 35024 1077 6 HELMERT HELMERT NNP 35024 1077 7 , , , 35024 1077 8 _ _ NNP 35024 1077 9 Beiträge Beiträge NNP 35024 1077 10 zur zur NNP 35024 1077 11 Theorie Theorie NNP 35024 1077 12 des des FW 35024 1077 13 Reversionspendels Reversionspendels NNP 35024 1077 14 _ _ NNP 35024 1077 15 ( ( -LRB- 35024 1077 16 Potsdam Potsdam NNP 35024 1077 17 : : : 35024 1077 18 Veröffentlichungen Veröffentlichungen NNP 35024 1077 19 des des FW 35024 1077 20 Königlichen Königlichen NNP 35024 1077 21 Preussischen Preussischen NNP 35024 1077 22 Geodätischen Geodätischen NNP 35024 1077 23 Instituts Instituts NNP 35024 1077 24 , , , 35024 1077 25 1898 1898 CD 35024 1077 26 ) ) -RRB- 35024 1077 27 . . . 35024 1078 1 [ [ -LRB- 35024 1078 2 101 101 CD 35024 1078 3 ] ] -RRB- 35024 1078 4 J. J. NNP 35024 1079 1 A. A. NNP 35024 1079 2 DUERKSEN DUERKSEN NNP 35024 1079 3 , , , 35024 1079 4 _ _ NNP 35024 1079 5 Pendulum Pendulum NNP 35024 1079 6 Gravity Gravity NNP 35024 1079 7 Data Data NNPS 35024 1079 8 in in IN 35024 1079 9 the the DT 35024 1079 10 United United NNP 35024 1079 11 States States NNP 35024 1079 12 _ _ NNP 35024 1079 13 ( ( -LRB- 35024 1079 14 Special Special NNP 35024 1079 15 Publication Publication NNP 35024 1079 16 No no UH 35024 1079 17 . . . 35024 1080 1 244 244 CD 35024 1080 2 , , , 35024 1080 3 U.S. U.S. NNP 35024 1080 4 Coast Coast NNP 35024 1080 5 and and CC 35024 1080 6 Geodetic Geodetic NNP 35024 1080 7 Survey Survey NNP 35024 1080 8 ; ; : 35024 1080 9 Washington Washington NNP 35024 1080 10 , , , 35024 1080 11 1949 1949 CD 35024 1080 12 ) ) -RRB- 35024 1080 13 . . . 35024 1081 1 [ [ -LRB- 35024 1081 2 102 102 CD 35024 1081 3 ] ] -RRB- 35024 1081 4 Ibid Ibid NNP 35024 1081 5 . . . 35024 1081 6 , , , 35024 1081 7 p. p. NN 35024 1081 8 2 2 CD 35024 1081 9 . . . 35024 1082 1 See see VB 35024 1082 2 also also RB 35024 1082 3 , , , 35024 1082 4 E. E. NNP 35024 1082 5 J. J. NNP 35024 1083 1 BROWN BROWN NNP 35024 1083 2 , , , 35024 1083 3 loc loc NN 35024 1083 4 . . . 35024 1084 1 cit cit NNP 35024 1084 2 . . . 35024 1085 1 ( ( -LRB- 35024 1085 2 footnote footnote NNP 35024 1085 3 85 85 CD 35024 1085 4 ) ) -RRB- 35024 1085 5 . . . 35024 1086 1 [ [ -LRB- 35024 1086 2 103 103 CD 35024 1086 3 ] ] -RRB- 35024 1086 4 PAUL PAUL NNP 35024 1086 5 R. R. NNP 35024 1086 6 HEYL HEYL NNP 35024 1086 7 and and CC 35024 1086 8 GUY GUY NNP 35024 1086 9 S. S. NNP 35024 1086 10 COOK COOK NNP 35024 1086 11 , , , 35024 1086 12 " " `` 35024 1086 13 The the DT 35024 1086 14 Value Value NNP 35024 1086 15 of of IN 35024 1086 16 Gravity Gravity NNP 35024 1086 17 at at IN 35024 1086 18 Washington Washington NNP 35024 1086 19 , , , 35024 1086 20 " " '' 35024 1086 21 _ _ NNP 35024 1086 22 Journal Journal NNP 35024 1086 23 of of IN 35024 1086 24 Research Research NNP 35024 1086 25 , , , 35024 1086 26 National National NNP 35024 1086 27 Bureau Bureau NNP 35024 1086 28 of of IN 35024 1086 29 Standards Standards NNPS 35024 1086 30 _ _ NNP 35024 1086 31 ( ( -LRB- 35024 1086 32 1936 1936 CD 35024 1086 33 ) ) -RRB- 35024 1086 34 , , , 35024 1086 35 vol vol NNP 35024 1086 36 . . . 35024 1087 1 17 17 CD 35024 1087 2 , , , 35024 1087 3 p. p. NN 35024 1087 4 805 805 CD 35024 1087 5 . . . 35024 1088 1 [ [ -LRB- 35024 1088 2 104 104 CD 35024 1088 3 ] ] -RRB- 35024 1088 4 SIR SIR NNP 35024 1088 5 HAROLD HAROLD NNP 35024 1088 6 JEFFREYS JEFFREYS NNP 35024 1088 7 , , , 35024 1088 8 " " `` 35024 1088 9 The the DT 35024 1088 10 Absolute absolute JJ 35024 1088 11 Value Value NNP 35024 1088 12 of of IN 35024 1088 13 Gravity Gravity NNP 35024 1088 14 , , , 35024 1088 15 " " '' 35024 1088 16 _ _ NNP 35024 1088 17 Monthly Monthly NNP 35024 1088 18 Notices Notices NNP 35024 1088 19 of of IN 35024 1088 20 the the DT 35024 1088 21 Royal Royal NNP 35024 1088 22 Astronomical Astronomical NNP 35024 1088 23 Society Society NNP 35024 1088 24 , , , 35024 1088 25 Geophysical Geophysical NNP 35024 1088 26 Supplement Supplement NNP 35024 1088 27 _ _ NNP 35024 1088 28 ( ( -LRB- 35024 1088 29 London London NNP 35024 1088 30 , , , 35024 1088 31 1949 1949 CD 35024 1088 32 ) ) -RRB- 35024 1088 33 , , , 35024 1088 34 vol vol NNP 35024 1088 35 . . . 35024 1089 1 5 5 CD 35024 1089 2 , , , 35024 1089 3 p. p. NN 35024 1089 4 398 398 CD 35024 1089 5 . . . 35024 1090 1 [ [ -LRB- 35024 1090 2 105 105 CD 35024 1090 3 ] ] -RRB- 35024 1090 4 J. J. NNP 35024 1090 5 S. S. NNP 35024 1090 6 CLARK CLARK NNP 35024 1090 7 , , , 35024 1090 8 " " `` 35024 1090 9 The the DT 35024 1090 10 Acceleration acceleration NN 35024 1090 11 Due due IN 35024 1090 12 to to IN 35024 1090 13 Gravity Gravity NNP 35024 1090 14 , , , 35024 1090 15 " " '' 35024 1090 16 _ _ NNP 35024 1090 17 Phil Phil NNP 35024 1090 18 . . . 35024 1091 1 Trans Trans NNPS 35024 1091 2 . . . 35024 1091 3 _ _ NNP 35024 1091 4 ( ( -LRB- 35024 1091 5 1939 1939 CD 35024 1091 6 ) ) -RRB- 35024 1091 7 , , , 35024 1091 8 vol vol NNP 35024 1091 9 . . . 35024 1092 1 238 238 CD 35024 1092 2 , , , 35024 1092 3 p. p. NN 35024 1092 4 65 65 CD 35024 1092 5 . . . 35024 1093 1 [ [ -LRB- 35024 1093 2 106 106 CD 35024 1093 3 ] ] -RRB- 35024 1093 4 HUGH HUGH NNP 35024 1093 5 L. L. NNP 35024 1093 6 DRYDEN DRYDEN NNP 35024 1093 7 , , , 35024 1093 8 " " `` 35024 1093 9 A a DT 35024 1093 10 Reexamination reexamination NN 35024 1093 11 of of IN 35024 1093 12 the the DT 35024 1093 13 Potsdam Potsdam NNP 35024 1093 14 Absolute Absolute NNP 35024 1093 15 Determination Determination NNP 35024 1093 16 of of IN 35024 1093 17 Gravity Gravity NNP 35024 1093 18 , , , 35024 1093 19 " " '' 35024 1093 20 _ _ NNP 35024 1093 21 Journal Journal NNP 35024 1093 22 of of IN 35024 1093 23 Research Research NNP 35024 1093 24 , , , 35024 1093 25 National National NNP 35024 1093 26 Bureau Bureau NNP 35024 1093 27 of of IN 35024 1093 28 Standards Standards NNPS 35024 1093 29 _ _ NNP 35024 1093 30 ( ( -LRB- 35024 1093 31 1942 1942 CD 35024 1093 32 ) ) -RRB- 35024 1093 33 , , , 35024 1093 34 vol vol NNP 35024 1093 35 . . . 35024 1094 1 29 29 CD 35024 1094 2 , , , 35024 1094 3 p. p. NN 35024 1094 4 303 303 CD 35024 1094 5 ; ; : 35024 1094 6 and and CC 35024 1094 7 A. a. NN 35024 1094 8 BERROTH BERROTH NNP 35024 1094 9 , , , 35024 1094 10 " " `` 35024 1094 11 Das Das NNP 35024 1094 12 Fundamentalsystem Fundamentalsystem NNP 35024 1094 13 der der VBP 35024 1094 14 Schwere Schwere NNP 35024 1094 15 i -PRON- PRP 35024 1094 16 m be VBP 35024 1094 17 Lichte Lichte NNP 35024 1094 18 neuer neuer VB 35024 1094 19 Reversionspendelmessungen Reversionspendelmessungen NNP 35024 1094 20 , , , 35024 1094 21 " " '' 35024 1094 22 _ _ NNP 35024 1094 23 Bulletin Bulletin NNP 35024 1094 24 Géodésique Géodésique NNP 35024 1094 25 _ _ NNP 35024 1094 26 ( ( -LRB- 35024 1094 27 1949 1949 CD 35024 1094 28 ) ) -RRB- 35024 1094 29 , , , 35024 1094 30 no no UH 35024 1094 31 . . . 35024 1095 1 12 12 CD 35024 1095 2 , , , 35024 1095 3 pp pp NNP 35024 1095 4 . . . 35024 1096 1 183 183 CD 35024 1096 2 - - SYM 35024 1096 3 204 204 CD 35024 1096 4 . . . 35024 1097 1 [ [ -LRB- 35024 1097 2 107 107 CD 35024 1097 3 ] ] -RRB- 35024 1097 4 T. T. NNP 35024 1097 5 C. C. NNP 35024 1097 6 MENDENHALL MENDENHALL NNP 35024 1097 7 , , , 35024 1097 8 op op NN 35024 1097 9 . . . 35024 1098 1 cit cit NNP 35024 1098 2 . . . 35024 1099 1 ( ( -LRB- 35024 1099 2 footnote footnote NNP 35024 1099 3 83 83 CD 35024 1099 4 ) ) -RRB- 35024 1099 5 , , , 35024 1099 6 p. p. NN 35024 1099 7 522 522 CD 35024 1099 8 . . . 35024 1100 1 [ [ -LRB- 35024 1100 2 108 108 CD 35024 1100 3 ] ] -RRB- 35024 1100 4 A. A. NNP 35024 1100 5 H. H. NNP 35024 1100 6 COOK COOK NNP 35024 1100 7 , , , 35024 1100 8 " " `` 35024 1100 9 Recent recent JJ 35024 1100 10 Developments development NNS 35024 1100 11 in in IN 35024 1100 12 the the DT 35024 1100 13 Absolute Absolute NNP 35024 1100 14 Measurement Measurement NNP 35024 1100 15 of of IN 35024 1100 16 Gravity Gravity NNP 35024 1100 17 , , , 35024 1100 18 " " '' 35024 1100 19 _ _ NNP 35024 1100 20 Bulletin Bulletin NNP 35024 1100 21 Géodésique Géodésique NNP 35024 1100 22 _ _ NNP 35024 1100 23 ( ( -LRB- 35024 1100 24 June June NNP 35024 1100 25 1 1 CD 35024 1100 26 , , , 35024 1100 27 1957 1957 CD 35024 1100 28 ) ) -RRB- 35024 1100 29 , , , 35024 1100 30 no no UH 35024 1100 31 . . . 35024 1101 1 44 44 CD 35024 1101 2 , , , 35024 1101 3 pp pp NNP 35024 1101 4 . . . 35024 1102 1 34 34 CD 35024 1102 2 - - SYM 35024 1102 3 59 59 CD 35024 1102 4 . . . 35024 1103 1 [ [ -LRB- 35024 1103 2 109 109 CD 35024 1103 3 ] ] -RRB- 35024 1103 4 See see VB 35024 1103 5 footnote footnote NN 35024 1103 6 89 89 CD 35024 1103 7 . . . 35024 1104 1 [ [ -LRB- 35024 1104 2 110 110 CD 35024 1104 3 ] ] -RRB- 35024 1104 4 C. C. NNP 35024 1104 5 S. S. NNP 35024 1104 6 PEIRCE PEIRCE NNP 35024 1104 7 , , , 35024 1104 8 " " `` 35024 1104 9 On on IN 35024 1104 10 the the DT 35024 1104 11 Deduction Deduction NNP 35024 1104 12 of of IN 35024 1104 13 the the DT 35024 1104 14 Ellipticity Ellipticity NNP 35024 1104 15 of of IN 35024 1104 16 the the DT 35024 1104 17 Earth Earth NNP 35024 1104 18 , , , 35024 1104 19 from from IN 35024 1104 20 Pendulum Pendulum NNP 35024 1104 21 Experiments Experiments NNPS 35024 1104 22 , , , 35024 1104 23 " " '' 35024 1104 24 _ _ NNP 35024 1104 25 Report Report NNP 35024 1104 26 of of IN 35024 1104 27 the the DT 35024 1104 28 Superintendent Superintendent NNP 35024 1104 29 of of IN 35024 1104 30 the the DT 35024 1104 31 U.S. U.S. NNP 35024 1104 32 Coast Coast NNP 35024 1104 33 and and CC 35024 1104 34 Geodetic Geodetic NNP 35024 1104 35 Survey Survey NNP 35024 1104 36 for for IN 35024 1104 37 1880 1880 CD 35024 1104 38 - - SYM 35024 1104 39 81 81 CD 35024 1104 40 _ _ NNP 35024 1104 41 ( ( -LRB- 35024 1104 42 Washington Washington NNP 35024 1104 43 , , , 35024 1104 44 1883 1883 CD 35024 1104 45 ) ) -RRB- 35024 1104 46 , , , 35024 1104 47 app app NN 35024 1104 48 . . . 35024 1105 1 no no UH 35024 1105 2 . . . 35024 1106 1 15 15 CD 35024 1106 2 , , , 35024 1106 3 pp pp NNP 35024 1106 4 . . . 35024 1107 1 442 442 CD 35024 1107 2 - - SYM 35024 1107 3 456 456 CD 35024 1107 4 . . . 35024 1108 1 [ [ -LRB- 35024 1108 2 111 111 CD 35024 1108 3 ] ] -RRB- 35024 1108 4 HEISKANEN HEISKANEN VBN 35024 1108 5 and and CC 35024 1108 6 VENING VENING NNP 35024 1108 7 MEINESZ MEINESZ NNP 35024 1108 8 , , , 35024 1108 9 op op NN 35024 1108 10 . . . 35024 1109 1 cit cit NNP 35024 1109 2 . . . 35024 1110 1 ( ( -LRB- 35024 1110 2 footnote footnote NNP 35024 1110 3 95 95 CD 35024 1110 4 ) ) -RRB- 35024 1110 5 , , , 35024 1110 6 p. p. NN 35024 1110 7 74 74 CD 35024 1110 8 . . . 35024 1111 1 [ [ -LRB- 35024 1111 2 112 112 CD 35024 1111 3 ] ] -RRB- 35024 1111 4 Ibid Ibid NNP 35024 1111 5 . . . 35024 1111 6 , , , 35024 1111 7 p. p. NN 35024 1111 8 76 76 CD 35024 1111 9 . . . 35024 1112 1 [ [ -LRB- 35024 1112 2 113 113 CD 35024 1112 3 ] ] -RRB- 35024 1112 4 Ibid Ibid NNP 35024 1112 5 . . . 35024 1112 6 , , , 35024 1112 7 p. p. NN 35024 1112 8 309 309 CD 35024 1112 9 . . . 35024 1113 1 [ [ -LRB- 35024 1113 2 114 114 CD 35024 1113 3 ] ] -RRB- 35024 1113 4 Ibid Ibid NNP 35024 1113 5 . . . 35024 1113 6 , , , 35024 1113 7 p. p. NN 35024 1113 8 310 310 CD 35024 1113 9 . . . 35024 1114 1 [ [ -LRB- 35024 1114 2 115 115 CD 35024 1114 3 ] ] -RRB- 35024 1114 4 K. k. NN 35024 1114 5 REICHENEDER reicheneder NN 35024 1114 6 , , , 35024 1114 7 " " `` 35024 1114 8 Method method NN 35024 1114 9 of of IN 35024 1114 10 the the DT 35024 1114 11 New New NNP 35024 1114 12 Measurements Measurements NNPS 35024 1114 13 at at IN 35024 1114 14 Potsdam Potsdam NNP 35024 1114 15 by by IN 35024 1114 16 Means Means NNPS 35024 1114 17 of of IN 35024 1114 18 the the DT 35024 1114 19 Reversible Reversible NNP 35024 1114 20 Pendulum Pendulum NNP 35024 1114 21 , , , 35024 1114 22 " " '' 35024 1114 23 _ _ NNP 35024 1114 24 Bulletin Bulletin NNP 35024 1114 25 Géodésique Géodésique NNP 35024 1114 26 _ _ NNP 35024 1114 27 ( ( -LRB- 35024 1114 28 March March NNP 35024 1114 29 1 1 CD 35024 1114 30 , , , 35024 1114 31 1959 1959 CD 35024 1114 32 ) ) -RRB- 35024 1114 33 , , , 35024 1114 34 no no UH 35024 1114 35 . . . 35024 1115 1 51 51 CD 35024 1115 2 , , , 35024 1115 3 p.72 p.72 NNP 35024 1115 4 . . . 35024 1116 1 U.S. U.S. NNP 35024 1116 2 GOVERNMENT GOVERNMENT NNP 35024 1116 3 PRINTING print VBG 35024 1116 4 OFFICE OFFICE NNP 35024 1116 5 : : : 35024 1116 6 1965 1965 CD 35024 1116 7 For for IN 35024 1116 8 sale sale NN 35024 1116 9 by by IN 35024 1116 10 the the DT 35024 1116 11 Superintendent Superintendent NNP 35024 1116 12 of of IN 35024 1116 13 Documents Documents NNPS 35024 1116 14 , , , 35024 1116 15 U.S. U.S. NNP 35024 1116 16 Government Government NNP 35024 1116 17 Printing Printing NNP 35024 1116 18 Office Office NNP 35024 1116 19 Washington Washington NNP 35024 1116 20 , , , 35024 1116 21 D.C. D.C. NNP 35024 1116 22 , , , 35024 1116 23 20402 20402 CD 35024 1116 24 - - HYPH 35024 1116 25 -Price -price CC 35024 1116 26 70 70 CD 35024 1116 27 cents cent NNS 35024 1116 28 . . . 35024 1117 1 INDEX INDEX NNP 35024 1117 2 Airy Airy NNP 35024 1117 3 , , , 35024 1117 4 G. G. NNP 35024 1117 5 B. B. NNP 35024 1117 6 , , , 35024 1117 7 319 319 CD 35024 1117 8 , , , 35024 1117 9 324 324 CD 35024 1117 10 , , , 35024 1117 11 332 332 CD 35024 1117 12 Albrecht Albrecht NNP 35024 1117 13 , , , 35024 1117 14 Karl Karl NNP 35024 1117 15 Theodore Theodore NNP 35024 1117 16 , , , 35024 1117 17 322 322 CD 35024 1117 18 , , , 35024 1117 19 338 338 CD 35024 1117 20 Al Al NNP 35024 1117 21 - - HYPH 35024 1117 22 Mamun Mamun NNP 35024 1117 23 , , , 35024 1117 24 seventh seventh JJ 35024 1117 25 calif calif NNS 35024 1117 26 of of IN 35024 1117 27 Bagdad Bagdad NNP 35024 1117 28 , , , 35024 1117 29 306 306 CD 35024 1117 30 Almansi Almansi NNP 35024 1117 31 , , , 35024 1117 32 Emilio Emilio NNP 35024 1117 33 , , , 35024 1117 34 339 339 CD 35024 1117 35 Aristotle Aristotle NNP 35024 1117 36 , , , 35024 1117 37 306 306 CD 35024 1117 38 Baeyer Baeyer NNP 35024 1117 39 , , , 35024 1117 40 J. J. NNP 35024 1117 41 J. J. NNP 35024 1117 42 , , , 35024 1117 43 321 321 CD 35024 1117 44 , , , 35024 1117 45 322 322 CD 35024 1117 46 , , , 35024 1117 47 324 324 CD 35024 1117 48 , , , 35024 1117 49 338 338 CD 35024 1117 50 , , , 35024 1117 51 346 346 CD 35024 1117 52 Baily Baily NNP 35024 1117 53 , , , 35024 1117 54 Francis Francis NNP 35024 1117 55 , , , 35024 1117 56 317 317 CD 35024 1117 57 Basevi Basevi NNP 35024 1117 58 , , , 35024 1117 59 James James NNP 35024 1117 60 Palladio Palladio NNP 35024 1117 61 , , , 35024 1117 62 345 345 CD 35024 1117 63 Berroth berroth JJ 35024 1117 64 , , , 35024 1117 65 A. a. NN 35024 1117 66 , , , 35024 1117 67 342 342 CD 35024 1117 68 Bessel Bessel NNP 35024 1117 69 , , , 35024 1117 70 Friedrich Friedrich NNP 35024 1117 71 Wilhelm Wilhelm NNP 35024 1117 72 , , , 35024 1117 73 313 313 CD 35024 1117 74 , , , 35024 1117 75 314 314 CD 35024 1117 76 , , , 35024 1117 77 319 319 CD 35024 1117 78 , , , 35024 1117 79 320 320 CD 35024 1117 80 , , , 35024 1117 81 324 324 CD 35024 1117 82 , , , 35024 1117 83 325 325 CD 35024 1117 84 , , , 35024 1117 85 338 338 CD 35024 1117 86 , , , 35024 1117 87 346 346 CD 35024 1117 88 Biot Biot NNP 35024 1117 89 , , , 35024 1117 90 Jean Jean NNP 35024 1117 91 Baptiste Baptiste NNP 35024 1117 92 , , , 35024 1117 93 325 325 CD 35024 1117 94 , , , 35024 1117 95 329 329 CD 35024 1117 96 Bohnenberger Bohnenberger NNP 35024 1117 97 , , , 35024 1117 98 Johann Johann NNP 35024 1117 99 Gottlieb Gottlieb NNP 35024 1117 100 Friedrich Friedrich NNP 35024 1117 101 , , , 35024 1117 102 315 315 CD 35024 1117 103 Borda Borda NNP 35024 1117 104 , , , 35024 1117 105 J. J. NNP 35024 1117 106 C. C. NNP 35024 1117 107 , , , 35024 1117 108 311 311 CD 35024 1117 109 , , , 35024 1117 110 312 312 CD 35024 1117 111 , , , 35024 1117 112 315 315 CD 35024 1117 113 , , , 35024 1117 114 325 325 CD 35024 1117 115 , , , 35024 1117 116 329 329 CD 35024 1117 117 , , , 35024 1117 118 346 346 CD 35024 1117 119 Boscovitch Boscovitch NNS 35024 1117 120 , , , 35024 1117 121 Père Père NNP 35024 1117 122 R. R. NNP 35024 1117 123 J. J. NNP 35024 1117 124 , , , 35024 1117 125 310 310 CD 35024 1117 126 , , , 35024 1117 127 311 311 CD 35024 1117 128 Bouguer Bouguer NNP 35024 1117 129 , , , 35024 1117 130 Pierre Pierre NNP 35024 1117 131 , , , 35024 1117 132 307 307 CD 35024 1117 133 , , , 35024 1117 134 309 309 CD 35024 1117 135 , , , 35024 1117 136 327 327 CD 35024 1117 137 , , , 35024 1117 138 343 343 CD 35024 1117 139 , , , 35024 1117 140 345 345 CD 35024 1117 141 Brahe Brahe NNP 35024 1117 142 , , , 35024 1117 143 Tycho Tycho NNP 35024 1117 144 , , , 35024 1117 145 306 306 CD 35024 1117 146 Brown Brown NNP 35024 1117 147 , , , 35024 1117 148 E. E. NNP 35024 1117 149 J. J. NNP 35024 1117 150 , , , 35024 1117 151 334 334 CD 35024 1117 152 , , , 35024 1117 153 339 339 CD 35024 1117 154 Browne Browne NNP 35024 1117 155 , , , 35024 1117 156 Henry Henry NNP 35024 1117 157 , , , 35024 1117 158 304 304 CD 35024 1117 159 , , , 35024 1117 160 314 314 CD 35024 1117 161 Bruhns Bruhns NNP 35024 1117 162 , , , 35024 1117 163 C. C. NNP 35024 1117 164 , , , 35024 1117 165 322 322 CD 35024 1117 166 , , , 35024 1117 167 324 324 CD 35024 1117 168 , , , 35024 1117 169 338 338 CD 35024 1117 170 Brunner Brunner NNP 35024 1117 171 Brothers Brothers NNPS 35024 1117 172 ( ( -LRB- 35024 1117 173 Paris Paris NNP 35024 1117 174 ) ) -RRB- 35024 1117 175 , , , 35024 1117 176 329 329 CD 35024 1117 177 Cassini Cassini NNP 35024 1117 178 , , , 35024 1117 179 Giovanni Giovanni NNP 35024 1117 180 - - HYPH 35024 1117 181 Domenico Domenico NNP 35024 1117 182 , , , 35024 1117 183 306 306 CD 35024 1117 184 , , , 35024 1117 185 307 307 CD 35024 1117 186 Cassini Cassini NNP 35024 1117 187 , , , 35024 1117 188 Jacques Jacques NNP 35024 1117 189 , , , 35024 1117 190 306 306 CD 35024 1117 191 Cassini Cassini NNP 35024 1117 192 de de NNP 35024 1117 193 Thury Thury NNP 35024 1117 194 , , , 35024 1117 195 J. J. NNP 35024 1117 196 D. D. NNP 35024 1117 197 , , , 35024 1117 198 311 311 CD 35024 1117 199 , , , 35024 1117 200 312 312 CD 35024 1117 201 , , , 35024 1117 202 315 315 CD 35024 1117 203 , , , 35024 1117 204 325 325 CD 35024 1117 205 , , , 35024 1117 206 329 329 CD 35024 1117 207 , , , 35024 1117 208 346 346 CD 35024 1117 209 Cellérier Cellérier NNP 35024 1117 210 , , , 35024 1117 211 Charles Charles NNP 35024 1117 212 , , , 35024 1117 213 320 320 CD 35024 1117 214 , , , 35024 1117 215 321 321 CD 35024 1117 216 , , , 35024 1117 217 325 325 CD 35024 1117 218 , , , 35024 1117 219 326 326 CD 35024 1117 220 , , , 35024 1117 221 329 329 CD 35024 1117 222 , , , 35024 1117 223 336 336 CD 35024 1117 224 Clairaut Clairaut NNP 35024 1117 225 , , , 35024 1117 226 Alexis Alexis NNP 35024 1117 227 Claude Claude NNP 35024 1117 228 , , , 35024 1117 229 308 308 CD 35024 1117 230 , , , 35024 1117 231 309 309 CD 35024 1117 232 , , , 35024 1117 233 343 343 CD 35024 1117 234 , , , 35024 1117 235 345 345 CD 35024 1117 236 Clark Clark NNP 35024 1117 237 , , , 35024 1117 238 J. J. NNP 35024 1117 239 S. S. NNP 35024 1117 240 , , , 35024 1117 241 342 342 CD 35024 1117 242 Clarke Clarke NNP 35024 1117 243 , , , 35024 1117 244 A. a. NN 35024 1117 245 R. R. NNP 35024 1117 246 , , , 35024 1117 247 345 345 CD 35024 1117 248 Colbert Colbert NNP 35024 1117 249 , , , 35024 1117 250 Jean Jean NNP 35024 1117 251 Baptiste Baptiste NNP 35024 1117 252 , , , 35024 1117 253 306 306 CD 35024 1117 254 Cook Cook NNP 35024 1117 255 , , , 35024 1117 256 A. a. NN 35024 1117 257 H. H. NNP 35024 1117 258 , , , 35024 1117 259 342 342 CD 35024 1117 260 Cook Cook NNP 35024 1117 261 , , , 35024 1117 262 Guy Guy NNP 35024 1117 263 S. S. NNP 35024 1117 264 , , , 35024 1117 265 339 339 CD 35024 1117 266 , , , 35024 1117 267 342 342 CD 35024 1117 268 Defforges Defforges NNPS 35024 1117 269 , , , 35024 1117 270 C. C. NNP 35024 1117 271 , , , 35024 1117 272 314 314 CD 35024 1117 273 , , , 35024 1117 274 329 329 CD 35024 1117 275 , , , 35024 1117 276 346 346 CD 35024 1117 277 De De NNP 35024 1117 278 Freycinet Freycinet NNP 35024 1117 279 , , , 35024 1117 280 Louis Louis NNP 35024 1117 281 Claude Claude NNP 35024 1117 282 de de NNP 35024 1117 283 Saulses Saulses NNP 35024 1117 284 , , , 35024 1117 285 317 317 CD 35024 1117 286 De De NNP 35024 1117 287 la la NNP 35024 1117 288 Hire Hire NNP 35024 1117 289 , , , 35024 1117 290 Gabriel Gabriel NNP 35024 1117 291 Philippe Philippe NNP 35024 1117 292 , , , 35024 1117 293 306 306 CD 35024 1117 294 De De NNP 35024 1117 295 Prony Prony NNP 35024 1117 296 , , , 35024 1117 297 M. M. NNP 35024 1117 298 G. G. NNP 35024 1117 299 , , , 35024 1117 300 314 314 CD 35024 1117 301 Dryden Dryden NNP 35024 1117 302 , , , 35024 1117 303 Hugh Hugh NNP 35024 1117 304 L. L. NNP 35024 1117 305 , , , 35024 1117 306 342 342 CD 35024 1117 307 Du Du NNP 35024 1117 308 Buat Buat NNP 35024 1117 309 , , , 35024 1117 310 L. L. NNP 35024 1117 311 G. G. NNP 35024 1117 312 , , , 35024 1117 313 314 314 CD 35024 1117 314 Duperry Duperry NNP 35024 1117 315 , , , 35024 1117 316 Capt Capt NNP 35024 1117 317 . . . 35024 1118 1 Louis Louis NNP 35024 1118 2 Isidore Isidore NNP 35024 1118 3 , , , 35024 1118 4 317 317 CD 35024 1118 5 Eratosthenes Eratosthenes NNPS 35024 1118 6 , , , 35024 1118 7 306 306 CD 35024 1118 8 , , , 35024 1118 9 308 308 CD 35024 1118 10 , , , 35024 1118 11 342 342 CD 35024 1118 12 Eudoxus eudoxus NN 35024 1118 13 of of IN 35024 1118 14 Cnidus Cnidus NNP 35024 1118 15 , , , 35024 1118 16 306 306 CD 35024 1118 17 Faye Faye NNP 35024 1118 18 , , , 35024 1118 19 Hervé Hervé NNP 35024 1118 20 , , , 35024 1118 21 325 325 CD 35024 1118 22 , , , 35024 1118 23 336 336 CD 35024 1118 24 , , , 35024 1118 25 346 346 CD 35024 1118 26 , , , 35024 1118 27 347 347 CD 35024 1118 28 Fernel Fernel NNP 35024 1118 29 , , , 35024 1118 30 Jean Jean NNP 35024 1118 31 , , , 35024 1118 32 306 306 CD 35024 1118 33 Furtwängler Furtwängler NNP 35024 1118 34 , , , 35024 1118 35 P. P. NNP 35024 1118 36 , , , 35024 1118 37 337 337 CD 35024 1118 38 Galilei Galilei NNP 35024 1118 39 , , , 35024 1118 40 Galileo Galileo NNP 35024 1118 41 , , , 35024 1118 42 304 304 CD 35024 1118 43 , , , 35024 1118 44 305 305 CD 35024 1118 45 , , , 35024 1118 46 346 346 CD 35024 1118 47 Gauss Gauss NNP 35024 1118 48 , , , 35024 1118 49 C. C. NNP 35024 1118 50 F. F. NNP 35024 1118 51 , , , 35024 1118 52 320 320 CD 35024 1118 53 Gautier Gautier NNP 35024 1118 54 , , , 35024 1118 55 P. P. NNP 35024 1118 56 , , , 35024 1118 57 339 339 CD 35024 1118 58 Godin Godin NNP 35024 1118 59 , , , 35024 1118 60 Louis Louis NNP 35024 1118 61 , , , 35024 1118 62 307 307 CD 35024 1118 63 Goldingham Goldingham NNP 35024 1118 64 , , , 35024 1118 65 John John NNP 35024 1118 66 , , , 35024 1118 67 316 316 CD 35024 1118 68 , , , 35024 1118 69 345 345 CD 35024 1118 70 Greely Greely NNP 35024 1118 71 , , , 35024 1118 72 A. a. NN 35024 1118 73 W. W. NNP 35024 1118 74 , , , 35024 1118 75 329 329 CD 35024 1118 76 Gulf Gulf NNP 35024 1118 77 Oil Oil NNP 35024 1118 78 and and CC 35024 1118 79 Development Development NNP 35024 1118 80 Company Company NNP 35024 1118 81 , , , 35024 1118 82 338 338 CD 35024 1118 83 Haid Haid NNP 35024 1118 84 , , , 35024 1118 85 M. M. NNP 35024 1118 86 , , , 35024 1118 87 335 335 CD 35024 1118 88 Hall Hall NNP 35024 1118 89 , , , 35024 1118 90 Basil Basil NNP 35024 1118 91 , , , 35024 1118 92 316 316 CD 35024 1118 93 Heaviside Heaviside NNP 35024 1118 94 , , , 35024 1118 95 W. W. NNP 35024 1118 96 J. J. NNP 35024 1118 97 , , , 35024 1118 98 321 321 CD 35024 1118 99 , , , 35024 1118 100 345 345 CD 35024 1118 101 Heiskanen Heiskanen NNP 35024 1118 102 , , , 35024 1118 103 W. W. NNP 35024 1118 104 A. A. NNP 35024 1118 105 , , , 35024 1118 106 338 338 CD 35024 1118 107 , , , 35024 1118 108 345 345 CD 35024 1118 109 , , , 35024 1118 110 346 346 CD 35024 1118 111 Helmert Helmert NNP 35024 1118 112 , , , 35024 1118 113 F. F. NNP 35024 1118 114 R. R. NNP 35024 1118 115 , , , 35024 1118 116 338 338 CD 35024 1118 117 , , , 35024 1118 118 339 339 CD 35024 1118 119 Helmholtz Helmholtz NNP 35024 1118 120 , , , 35024 1118 121 Hermann Hermann NNP 35024 1118 122 von von NNP 35024 1118 123 , , , 35024 1118 124 326 326 CD 35024 1118 125 Herschel Herschel NNP 35024 1118 126 , , , 35024 1118 127 John John NNP 35024 1118 128 , , , 35024 1118 129 319 319 CD 35024 1118 130 , , , 35024 1118 131 328 328 CD 35024 1118 132 , , , 35024 1118 133 345 345 CD 35024 1118 134 Heyl Heyl NNP 35024 1118 135 , , , 35024 1118 136 Paul Paul NNP 35024 1118 137 R. R. NNP 35024 1118 138 , , , 35024 1118 139 339 339 CD 35024 1118 140 , , , 35024 1118 141 342 342 CD 35024 1118 142 Hirsch Hirsch NNP 35024 1118 143 , , , 35024 1118 144 Adolph Adolph NNP 35024 1118 145 , , , 35024 1118 146 322 322 CD 35024 1118 147 , , , 35024 1118 148 324 324 CD 35024 1118 149 Huygens Huygens NNPS 35024 1118 150 , , , 35024 1118 151 Christiaan Christiaan NNP 35024 1118 152 , , , 35024 1118 153 304 304 CD 35024 1118 154 , , , 35024 1118 155 305 305 CD 35024 1118 156 , , , 35024 1118 157 307 307 CD 35024 1118 158 , , , 35024 1118 159 314 314 CD 35024 1118 160 , , , 35024 1118 161 342 342 CD 35024 1118 162 , , , 35024 1118 163 346 346 CD 35024 1118 164 Ibañez Ibañez NNPS 35024 1118 165 , , , 35024 1118 166 Carlos Carlos NNP 35024 1118 167 , , , 35024 1118 168 325 325 CD 35024 1118 169 Jeffreys Jeffreys NNPS 35024 1118 170 , , , 35024 1118 171 Sir Sir NNP 35024 1118 172 Harold Harold NNP 35024 1118 173 , , , 35024 1118 174 342 342 CD 35024 1118 175 Jones Jones NNP 35024 1118 176 , , , 35024 1118 177 Thomas Thomas NNP 35024 1118 178 , , , 35024 1118 179 318 318 CD 35024 1118 180 Kater Kater NNP 35024 1118 181 , , , 35024 1118 182 Henry Henry NNP 35024 1118 183 , , , 35024 1118 184 304 304 CD 35024 1118 185 , , , 35024 1118 186 314 314 CD 35024 1118 187 , , , 35024 1118 188 325 325 CD 35024 1118 189 , , , 35024 1118 190 327 327 CD 35024 1118 191 , , , 35024 1118 192 329 329 CD 35024 1118 193 , , , 35024 1118 194 345 345 CD 35024 1118 195 , , , 35024 1118 196 346 346 CD 35024 1118 197 Kühnen Kühnen NNP 35024 1118 198 , , , 35024 1118 199 F. F. NNP 35024 1118 200 , , , 35024 1118 201 338 338 CD 35024 1118 202 , , , 35024 1118 203 339 339 CD 35024 1118 204 La La NNP 35024 1118 205 Condamine Condamine NNP 35024 1118 206 , , , 35024 1118 207 Charles Charles NNP 35024 1118 208 Marie Marie NNP 35024 1118 209 de de NNP 35024 1118 210 , , , 35024 1118 211 307 307 CD 35024 1118 212 , , , 35024 1118 213 310 310 CD 35024 1118 214 , , , 35024 1118 215 311 311 CD 35024 1118 216 , , , 35024 1118 217 343 343 CD 35024 1118 218 Laplace Laplace NNP 35024 1118 219 , , , 35024 1118 220 Marquis Marquis NNP 35024 1118 221 Pierre Pierre NNP 35024 1118 222 Simon Simon NNP 35024 1118 223 de de NNP 35024 1118 224 , , , 35024 1118 225 309 309 CD 35024 1118 226 , , , 35024 1118 227 313 313 CD 35024 1118 228 , , , 35024 1118 229 320 320 CD 35024 1118 230 Lorenzoni Lorenzoni NNP 35024 1118 231 , , , 35024 1118 232 Giuseppe Giuseppe NNP 35024 1118 233 , , , 35024 1118 234 336 336 CD 35024 1118 235 , , , 35024 1118 236 339 339 CD 35024 1118 237 Lütke Lütke NNP 35024 1118 238 , , , 35024 1118 239 Count Count NNP 35024 1118 240 Feodor Feodor NNP 35024 1118 241 Petrovich Petrovich NNP 35024 1118 242 , , , 35024 1118 243 316 316 CD 35024 1118 244 , , , 35024 1118 245 345 345 CD 35024 1118 246 Maupertius Maupertius NNP 35024 1118 247 , , , 35024 1118 248 P. P. NNP 35024 1118 249 L. L. NNP 35024 1118 250 Moreau Moreau NNP 35024 1118 251 de de NNP 35024 1118 252 , , , 35024 1118 253 308 308 CD 35024 1118 254 , , , 35024 1118 255 343 343 CD 35024 1118 256 Maxwell Maxwell NNP 35024 1118 257 , , , 35024 1118 258 James James NNP 35024 1118 259 Clerk Clerk NNP 35024 1118 260 , , , 35024 1118 261 324 324 CD 35024 1118 262 Medi Medi NNP 35024 1118 263 , , , 35024 1118 264 Enrico Enrico NNP 35024 1118 265 , , , 35024 1118 266 342 342 CD 35024 1118 267 Mendenhall Mendenhall NNP 35024 1118 268 , , , 35024 1118 269 Thomas Thomas NNP 35024 1118 270 Corwin Corwin NNP 35024 1118 271 , , , 35024 1118 272 319 319 CD 35024 1118 273 , , , 35024 1118 274 331 331 CD 35024 1118 275 , , , 35024 1118 276 332 332 CD 35024 1118 277 , , , 35024 1118 278 334 334 CD 35024 1118 279 , , , 35024 1118 280 347 347 CD 35024 1118 281 Mersenne Mersenne NNP 35024 1118 282 , , , 35024 1118 283 P. P. NNP 35024 1118 284 Marin Marin NNP 35024 1118 285 , , , 35024 1118 286 305 305 CD 35024 1118 287 Newton Newton NNP 35024 1118 288 , , , 35024 1118 289 Sir Sir NNP 35024 1118 290 Isaac Isaac NNP 35024 1118 291 , , , 35024 1118 292 303 303 CD 35024 1118 293 , , , 35024 1118 294 307 307 CD 35024 1118 295 , , , 35024 1118 296 308 308 CD 35024 1118 297 , , , 35024 1118 298 342 342 CD 35024 1118 299 , , , 35024 1118 300 343 343 CD 35024 1118 301 Norwood Norwood NNP 35024 1118 302 , , , 35024 1118 303 Richard Richard NNP 35024 1118 304 , , , 35024 1118 305 306 306 CD 35024 1118 306 Oppolzer Oppolzer NNP 35024 1118 307 , , , 35024 1118 308 Theodor Theodor NNP 35024 1118 309 von von NNP 35024 1118 310 , , , 35024 1118 311 322 322 CD 35024 1118 312 , , , 35024 1118 313 324 324 CD 35024 1118 314 Patterson Patterson NNP 35024 1118 315 , , , 35024 1118 316 Carlile Carlile NNP 35024 1118 317 Pollock Pollock NNP 35024 1118 318 , , , 35024 1118 319 325 325 CD 35024 1118 320 , , , 35024 1118 321 326 326 CD 35024 1118 322 Peirce Peirce NNP 35024 1118 323 , , , 35024 1118 324 Charles Charles NNP 35024 1118 325 Sanders Sanders NNP 35024 1118 326 , , , 35024 1118 327 314 314 CD 35024 1118 328 , , , 35024 1118 329 322 322 CD 35024 1118 330 , , , 35024 1118 331 332 332 CD 35024 1118 332 , , , 35024 1118 333 336 336 CD 35024 1118 334 , , , 35024 1118 335 342 342 CD 35024 1118 336 , , , 35024 1118 337 345 345 CD 35024 1118 338 Peters Peters NNP 35024 1118 339 , , , 35024 1118 340 C. C. NNP 35024 1118 341 A. A. NNP 35024 1118 342 F. F. NNP 35024 1118 343 , , , 35024 1118 344 322 322 CD 35024 1118 345 , , , 35024 1118 346 324 324 CD 35024 1118 347 Picard Picard NNP 35024 1118 348 , , , 35024 1118 349 Abbé Abbé NNP 35024 1118 350 Jean Jean NNP 35024 1118 351 , , , 35024 1118 352 306 306 CD 35024 1118 353 , , , 35024 1118 354 308 308 CD 35024 1118 355 , , , 35024 1118 356 342 342 CD 35024 1118 357 Plantamour Plantamour NNP 35024 1118 358 , , , 35024 1118 359 E. E. NNP 35024 1118 360 , , , 35024 1118 361 319 319 CD 35024 1118 362 , , , 35024 1118 363 324 324 CD 35024 1118 364 Posidonius Posidonius NNP 35024 1118 365 , , , 35024 1118 366 306 306 CD 35024 1118 367 Preston Preston NNP 35024 1118 368 , , , 35024 1118 369 E. E. NNP 35024 1118 370 D. D. NNP 35024 1118 371 , , , 35024 1118 372 328 328 CD 35024 1118 373 , , , 35024 1118 374 329 329 CD 35024 1118 375 Putnam Putnam NNP 35024 1118 376 , , , 35024 1118 377 G. G. NNP 35024 1118 378 R. R. NNP 35024 1118 379 , , , 35024 1118 380 339 339 CD 35024 1118 381 Pythagoras Pythagoras NNPS 35024 1118 382 , , , 35024 1118 383 306 306 CD 35024 1118 384 Repsold Repsold NNP 35024 1118 385 , , , 35024 1118 386 A. a. NN 35024 1118 387 , , , 35024 1118 388 and and CC 35024 1118 389 Sons Sons NNPS 35024 1118 390 ( ( -LRB- 35024 1118 391 Hamburg Hamburg NNP 35024 1118 392 ) ) -RRB- 35024 1118 393 , , , 35024 1118 394 320 320 CD 35024 1118 395 , , , 35024 1118 396 322 322 CD 35024 1118 397 , , , 35024 1118 398 338 338 CD 35024 1118 399 , , , 35024 1118 400 339 339 CD 35024 1118 401 , , , 35024 1118 402 346 346 CD 35024 1118 403 Richer Richer NNPS 35024 1118 404 , , , 35024 1118 405 Jean Jean NNP 35024 1118 406 , , , 35024 1118 407 307 307 CD 35024 1118 408 , , , 35024 1118 409 342 342 CD 35024 1118 410 Sabine Sabine NNP 35024 1118 411 , , , 35024 1118 412 Capt Capt NNP 35024 1118 413 . . . 35024 1119 1 Edward Edward NNP 35024 1119 2 , , , 35024 1119 3 315 315 CD 35024 1119 4 , , , 35024 1119 5 325 325 CD 35024 1119 6 , , , 35024 1119 7 329 329 CD 35024 1119 8 , , , 35024 1119 9 345 345 CD 35024 1119 10 Sawitsch Sawitsch NNP 35024 1119 11 , , , 35024 1119 12 A. A. NNP 35024 1119 13 , , , 35024 1119 14 321 321 CD 35024 1119 15 , , , 35024 1119 16 322 322 CD 35024 1119 17 Schumacher Schumacher NNP 35024 1119 18 , , , 35024 1119 19 H. H. NNP 35024 1119 20 C. C. NNP 35024 1119 21 , , , 35024 1119 22 320 320 CD 35024 1119 23 Schumann Schumann NNP 35024 1119 24 , , , 35024 1119 25 R. R. NNP 35024 1119 26 , , , 35024 1119 27 335 335 CD 35024 1119 28 , , , 35024 1119 29 336 336 CD 35024 1119 30 Snell Snell NNP 35024 1119 31 , , , 35024 1119 32 Willebrord Willebrord NNP 35024 1119 33 , , , 35024 1119 34 306 306 CD 35024 1119 35 Sterneck Sterneck NNP 35024 1119 36 , , , 35024 1119 37 Robert Robert NNP 35024 1119 38 von von NNP 35024 1119 39 , , , 35024 1119 40 331 331 CD 35024 1119 41 , , , 35024 1119 42 332 332 CD 35024 1119 43 , , , 35024 1119 44 335 335 CD 35024 1119 45 , , , 35024 1119 46 338 338 CD 35024 1119 47 , , , 35024 1119 48 346 346 CD 35024 1119 49 Stokes Stokes NNPS 35024 1119 50 , , , 35024 1119 51 George George NNP 35024 1119 52 Gabriel Gabriel NNP 35024 1119 53 , , , 35024 1119 54 324 324 CD 35024 1119 55 , , , 35024 1119 56 328 328 CD 35024 1119 57 , , , 35024 1119 58 329 329 CD 35024 1119 59 , , , 35024 1119 60 345 345 CD 35024 1119 61 , , , 35024 1119 62 346 346 CD 35024 1119 63 Ulloa Ulloa NNP 35024 1119 64 , , , 35024 1119 65 Antonio Antonio NNP 35024 1119 66 de de NNP 35024 1119 67 , , , 35024 1119 68 308 308 CD 35024 1119 69 Vening Vening NNP 35024 1119 70 Meinesz Meinesz NNP 35024 1119 71 , , , 35024 1119 72 F. F. NNP 35024 1119 73 A. A. NNP 35024 1119 74 , , , 35024 1119 75 337 337 CD 35024 1119 76 , , , 35024 1119 77 338 338 CD 35024 1119 78 , , , 35024 1119 79 345 345 CD 35024 1119 80 Volet Volet NNP 35024 1119 81 , , , 35024 1119 82 Charles Charles NNP 35024 1119 83 , , , 35024 1119 84 342 342 CD 35024 1119 85 Wilkes Wilkes NNP 35024 1119 86 , , , 35024 1119 87 Charles Charles NNP 35024 1119 88 , , , 35024 1119 89 317 317 CD 35024 1119 90 , , , 35024 1119 91 318 318 CD 35024 1119 92 * * NFP 35024 1119 93 * * NFP 35024 1119 94 * * NFP 35024 1119 95 * * NFP 35024 1119 96 * * NFP 35024 1119 97 Transcriber Transcriber NNP 35024 1119 98 's 's POS 35024 1119 99 note note NN 35024 1119 100 : : : 35024 1119 101 Footnotes footnote NNS 35024 1119 102 have have VBP 35024 1119 103 been be VBN 35024 1119 104 moved move VBN 35024 1119 105 to to IN 35024 1119 106 the the DT 35024 1119 107 end end NN 35024 1119 108 of of IN 35024 1119 109 the the DT 35024 1119 110 paper paper NN 35024 1119 111 . . . 35024 1120 1 Illustrations illustration NNS 35024 1120 2 and and CC 35024 1120 3 the the DT 35024 1120 4 GLOSSARY GLOSSARY NNP 35024 1120 5 OF of IN 35024 1120 6 GRAVITY GRAVITY NNP 35024 1120 7 TERMINOLOGY TERMINOLOGY NNP 35024 1120 8 section section NN 35024 1120 9 have have VBP 35024 1120 10 been be VBN 35024 1120 11 moved move VBN 35024 1120 12 to to TO 35024 1120 13 avoid avoid VB 35024 1120 14 breaks break NNS 35024 1120 15 in in IN 35024 1120 16 paragraphs paragraph NNS 35024 1120 17 . . . 35024 1121 1 Minor minor JJ 35024 1121 2 punctuation punctuation NN 35024 1121 3 errors error NNS 35024 1121 4 have have VBP 35024 1121 5 been be VBN 35024 1121 6 corrected correct VBN 35024 1121 7 without without IN 35024 1121 8 note note NN 35024 1121 9 . . . 35024 1122 1 Typographical typographical JJ 35024 1122 2 errors error NNS 35024 1122 3 and and CC 35024 1122 4 inconsistencies inconsistency NNS 35024 1122 5 have have VBP 35024 1122 6 been be VBN 35024 1122 7 corrected correct VBN 35024 1122 8 as as IN 35024 1122 9 follows follow VBZ 35024 1122 10 : : : 35024 1122 11 P. p. NN 35024 1122 12 320 320 CD 35024 1122 13 ' ' POS 35024 1122 14 difference difference NN 35024 1122 15 T_{1 T_{1 NNP 35024 1122 16 } } -RRB- 35024 1122 17 - - : 35024 1122 18 T_{2 T_{2 NNP 35024 1122 19 } } -RRB- 35024 1122 20 is be VBZ 35024 1122 21 sufficiently'--had sufficiently'--had JJ 35024 1122 22 ' ' '' 35024 1122 23 sufficlently sufficlently RB 35024 1122 24 . . . 35024 1122 25 ' ' '' 35024 1123 1 P. P. NNP 35024 1123 2 321 321 CD 35024 1123 3 ' ' POS 35024 1123 4 faites faite VBZ 35024 1123 5 à à DT 35024 1123 6 Genève Genève NNP 35024 1123 7 avec avec NN 35024 1123 8 le le NNP 35024 1123 9 pendule pendule NNP 35024 1123 10 à à NNP 35024 1123 11 réversion'--had réversion'--had JJ 35024 1123 12 ' ' POS 35024 1123 13 reversion reversion NN 35024 1123 14 . . . 35024 1123 15 ' ' '' 35024 1124 1 P. P. NNP 35024 1124 2 326 326 CD 35024 1124 3 ' ' '' 35024 1124 4 Schwere schwere RB 35024 1124 5 mit mit NNP 35024 1124 6 Hilfe Hilfe NNP 35024 1124 7 verschiedener verschiedener NN 35024 1124 8 Apparate'--had apparate'--had NN 35024 1124 9 ' ' '' 35024 1124 10 verschiedene verschiedene NN 35024 1124 11 . . . 35024 1124 12 ' ' '' 35024 1125 1 P. P. NNP 35024 1125 2 328 328 CD 35024 1125 3 ' ' '' 35024 1125 4 between between IN 35024 1125 5 the the DT 35024 1125 6 yard yard NN 35024 1125 7 and and CC 35024 1125 8 the the DT 35024 1125 9 meter meter NN 35024 1125 10 . . . 35024 1125 11 ' ' '' 35024 1126 1 --closing --close VBG 35024 1126 2 quote quote NNP 35024 1126 3 mark mark NNP 35024 1126 4 deleted delete VBN 35024 1126 5 . . . 35024 1127 1 P. p. NN 35024 1127 2 334 334 CD 35024 1127 3 ' ' POS 35024 1127 4 Mendenhall Mendenhall NNP 35024 1127 5 apparatus apparatus NN 35024 1127 6 were be VBD 35024 1127 7 part part NN 35024 1127 8 of'--'was of'--'wa VBD 35024 1127 9 ' ' `` 35024 1127 10 changed change VBN 35024 1127 11 to to TO 35024 1127 12 ' ' '' 35024 1127 13 were be VBD 35024 1127 14 . . . 35024 1127 15 ' ' '' 35024 1128 1 P. P. NNP 35024 1128 2 342 342 CD 35024 1128 3 ' ' NNS 35024 1128 4 of of IN 35024 1128 5 the the DT 35024 1128 6 Geodetic Geodetic NNP 35024 1128 7 Institute Institute NNP 35024 1128 8 at at IN 35024 1128 9 Potsdam'--had Potsdam'--had NNP 35024 1128 10 ' ' `` 35024 1128 11 Postdam Postdam NNP 35024 1128 12 . . . 35024 1128 13 ' ' '' 35024 1129 1 P. p. NN 35024 1129 2 345 345 CD 35024 1129 3 ' ' CD 35024 1129 4 The the DT 35024 1129 5 gravimetric gravimetric JJ 35024 1129 6 methods method NNS 35024 1129 7 of of IN 35024 1129 8 physical'--had physical'--had JJ 35024 1129 9 ' ' POS 35024 1129 10 mtehods mtehod NNS 35024 1129 11 . . . 35024 1129 12 ' ' '' 35024 1130 1 Footnote footnote NN 35024 1130 2 1 1 CD 35024 1130 3 ' ' '' 35024 1130 4 Société Société NNP 35024 1130 5 française française NN 35024 1130 6 de de FW 35024 1130 7 Physique'--had Physique'--had NNP 35024 1130 8 ' ' `` 35024 1130 9 Française Française NNP 35024 1130 10 . . . 35024 1130 11 ' ' '' 35024 1131 1 Footnote footnote NN 35024 1131 2 3 3 CD 35024 1131 3 ' ' '' 35024 1131 4 Cogitata Cogitata NNP 35024 1131 5 physico physico NN 35024 1131 6 - - HYPH 35024 1131 7 mathematica'--had mathematica'--had NNP 35024 1131 8 ' ' '' 35024 1131 9 physica physica NN 35024 1131 10 . . . 35024 1131 11 ' ' '' 35024 1132 1 Footnote Footnote NNP 35024 1132 2 10 10 CD 35024 1132 3 ' ' POS 35024 1132 4 mathématiques mathématique NNS 35024 1132 5 et et NNP 35024 1132 6 de de FW 35024 1132 7 physique physique NNP 35024 1132 8 par par NNP 35024 1132 9 MM MM NNP 35024 1132 10 . . . 35024 1133 1 de de NNP 35024 1133 2 l'Académie l'Académie NNP 35024 1133 3 Royale'--had Royale'--had NNP 35024 1133 4 ' ' POS 35024 1133 5 mathematiques mathematique NNS 35024 1133 6 , , , 35024 1133 7 ' ' '' 35024 1133 8 ' ' '' 35024 1133 9 Royal Royal NNP 35024 1133 10 . . . 35024 1133 11 ' ' '' 35024 1134 1 Footnote Footnote NNP 35024 1134 2 12 12 CD 35024 1134 3 ' ' POS 35024 1134 4 par par IN 35024 1134 5 ordre ordre NNP 35024 1134 6 du du NNP 35024 1134 7 Roy Roy NNP 35024 1134 8 au au NNP 35024 1134 9 Pérou Pérou NNP 35024 1134 10 , , , 35024 1134 11 pour pour VB 35024 1134 12 observer'--had observer'--had VBD 35024 1134 13 ' ' `` 35024 1134 14 Perou Perou NNP 35024 1134 15 , , , 35024 1134 16 pour pour VB 35024 1134 17 observir observir NNS 35024 1134 18 . . . 35024 1134 19 ' ' '' 35024 1135 1 Footnote Footnote NNP 35024 1135 2 19 19 CD 35024 1135 3 ' ' POS 35024 1135 4 Opticam Opticam NNP 35024 1135 5 et et NN 35024 1135 6 Astronomiam'--had astronomiam'--had CC 35024 1135 7 ' ' `` 35024 1135 8 Astronomian Astronomian NNP 35024 1135 9 . . . 35024 1135 10 ' ' '' 35024 1136 1 Footnote Footnote NNP 35024 1136 2 20 20 CD 35024 1136 3 ' ' '' 35024 1136 4 connaître connaître NNP 35024 1136 5 la la NNP 35024 1136 6 longueur longueur NNP 35024 1136 7 du du NNP 35024 1136 8 pendule pendule NNP 35024 1136 9 qui'--had qui'--had NNP 35024 1136 10 ' ' '' 35024 1136 11 connaitre connaitre NNP 35024 1136 12 la la NNP 35024 1136 13 longuer longuer NNP 35024 1136 14 . . . 35024 1136 15 ' ' '' 35024 1137 1 Footnote footnote NN 35024 1137 2 21 21 CD 35024 1137 3 ' ' '' 35024 1137 4 Abhandlungen Abhandlungen NNP 35024 1137 5 der der NN 35024 1137 6 Königlichen Königlichen NNP 35024 1137 7 Akademie'--had akademie'--had IN 35024 1137 8 ' ' `` 35024 1137 9 Königliche Königliche NNP 35024 1137 10 . . . 35024 1137 11 ' ' '' 35024 1138 1 Footnote footnote NN 35024 1138 2 25 25 CD 35024 1138 3 ' ' POS 35024 1138 4 pour pour NN 35024 1138 5 déterminer déterminer NNP 35024 1138 6 la la NNP 35024 1138 7 longueur longueur NNP 35024 1138 8 du du NNP 35024 1138 9 pendule'--had pendule'--had VBD 35024 1138 10 ' ' `` 35024 1138 11 longeur longeur NN 35024 1138 12 . . . 35024 1138 13 ' ' '' 35024 1139 1 Footnote Footnote NNP 35024 1139 2 41 41 CD 35024 1139 3 ' ' '' 35024 1139 4 Survey Survey NNP 35024 1139 5 of of IN 35024 1139 6 India India NNP 35024 1139 7 ( ( -LRB- 35024 1139 8 Calcutta Calcutta NNP 35024 1139 9 , , , 35024 1139 10 1879)'-- 1879)'-- CD 35024 1139 11 had have VBD 35024 1139 12 ' ' `` 35024 1139 13 Surey Surey NNP 35024 1139 14 . . . 35024 1139 15 ' ' '' 35024 1140 1 Footnotes footnote NNS 35024 1140 2 45 45 CD 35024 1140 3 and and CC 35024 1140 4 47 47 CD 35024 1140 5 ' ' '' 35024 1140 6 Société Société NNP 35024 1140 7 de de IN 35024 1140 8 Physique Physique NNP 35024 1140 9 et et NNP 35024 1140 10 d'histoire'--had d'histoire'--had IN 35024 1140 11 ' ' `` 35024 1140 12 d'historire d'historire FW 35024 1140 13 . . . 35024 1140 14 ' ' '' 35024 1141 1 Footnote Footnote NNP 35024 1141 2 49 49 CD 35024 1141 3 ' ' '' 35024 1141 4 Über Über NNP 35024 1141 5 die die VBP 35024 1141 6 Grösse Grösse NNP 35024 1141 7 und und JJ 35024 1141 8 Figur Figur NNP 35024 1141 9 der der NN 35024 1141 10 Erde'--had erde'--had NN 35024 1141 11 ' ' '' 35024 1141 12 Grosse Grosse NNP 35024 1141 13 . . . 35024 1141 14 ' ' '' 35024 1142 1 Footnote Footnote NNP 35024 1142 2 53 53 CD 35024 1142 3 ' ' '' 35024 1142 4 Bestimmung Bestimmung NNP 35024 1142 5 der der NN 35024 1142 6 Länge'--had länge'--had XX 35024 1142 7 ' ' `` 35024 1142 8 Lange lange NN 35024 1142 9 ' ' '' 35024 1142 10 ; ; : 35024 1142 11 ' ' '' 35024 1142 12 Astronomisch Astronomisch NNP 35024 1142 13 - - HYPH 35024 1142 14 Geodätische Geodätische NNP 35024 1142 15 Arbeiten'--had arbeiten'--had IN 35024 1142 16 ' ' `` 35024 1142 17 Astronomische Astronomische NNP 35024 1142 18 ' ' '' 35024 1142 19 ; ; : 35024 1142 20 ' ' '' 35024 1142 21 Veröffentlichungen veröffentlichungen VB 35024 1142 22 des des FW 35024 1142 23 Königlichen'--had Königlichen'--had VBD 35024 1142 24 ' ' '' 35024 1142 25 Königliche Königliche NNP 35024 1142 26 . . . 35024 1142 27 ' ' '' 35024 1143 1 Footnote footnote NN 35024 1143 2 55 55 CD 35024 1143 3 ' ' CD 35024 1143 4 ( ( -LRB- 35024 1143 5 1768 1768 CD 35024 1143 6 ) ) -RRB- 35024 1143 7 , , , 35024 1143 8 vol vol NNP 35024 1143 9 . . . 35024 1144 1 58 58 CD 35024 1144 2 , , , 35024 1144 3 pp pp NNP 35024 1144 4 . . . 35024 1145 1 329 329 CD 35024 1145 2 - - SYM 35024 1145 3 335 335 CD 35024 1145 4 . . . 35024 1145 5 ' ' '' 35024 1146 1 --had --had : 35024 1146 2 ' ' CD 35024 1146 3 329 329 CD 35024 1146 4 - - HYPH 35024 1146 5 235 235 CD 35024 1146 6 . . . 35024 1146 7 ' ' '' 35024 1147 1 Footnote Footnote NNP 35024 1147 2 66 66 CD 35024 1147 3 ' ' POS 35024 1147 4 Comptes Comptes NNP 35024 1147 5 - - HYPH 35024 1147 6 rendus rendus NNP 35024 1147 7 de de NNP 35024 1147 8 l'Académie'--had l'Académie'--had NNP 35024 1147 9 ' ' '' 35024 1147 10 L'Académie L'Académie NNP 35024 1147 11 . . . 35024 1147 12 ' ' '' 35024 1148 1 Footnote footnote NN 35024 1148 2 81 81 CD 35024 1148 3 ' ' POS 35024 1148 4 Sur Sur NNP 35024 1148 5 l'Intensité l'Intensité NNP 35024 1148 6 absolue'--had absolue'--had VBD 35024 1148 7 ' ' '' 35024 1148 8 l'Intensite l'Intensite NNP 35024 1148 9 . . . 35024 1148 10 ' ' '' 35024 1149 1 Footnote Footnote NNP 35024 1149 2 89 89 CD 35024 1149 3 ' ' CD 35024 1149 4 Sitzungsberichte Sitzungsberichte NNP 35024 1149 5 der der VBP 35024 1149 6 Königlicher'--had Königlicher'--had NNP 35024 1149 7 ' ' '' 35024 1149 8 Königliche Königliche NNP 35024 1149 9 . . . 35024 1149 10 ' ' '' 35024 1150 1 Footnote footnote NN 35024 1150 2 100 100 CD 35024 1150 3 ' ' `` 35024 1150 4 Veröffentlichungen Veröffentlichungen NNP 35024 1150 5 des des FW 35024 1150 6 Königlichen Königlichen NNP 35024 1150 7 ' ' POS 35024 1150 8 had have VBD 35024 1150 9 ' ' `` 35024 1150 10 Veröffentlichungen veröffentlichungen VB 35024 1150 11 Königliche Königliche NNP 35024 1150 12 . . . 35024 1150 13 ' ' '' 35024 1151 1 Capitalisation capitalisation NN 35024 1151 2 of of IN 35024 1151 3 ' ' `` 35024 1151 4 Von'/'von Von'/'von NNP 35024 1151 5 ' ' '' 35024 1151 6 has have VBZ 35024 1151 7 been be VBN 35024 1151 8 regulaized regulaize VBN 35024 1151 9 to to IN 35024 1151 10 ' ' `` 35024 1151 11 von von NNP 35024 1151 12 ' ' '' 35024 1151 13 for for IN 35024 1151 14 all all DT 35024 1151 15 personal personal JJ 35024 1151 16 names name NNS 35024 1151 17 , , , 35024 1151 18 except except IN 35024 1151 19 at at IN 35024 1151 20 the the DT 35024 1151 21 beginning beginning NN 35024 1151 22 of of IN 35024 1151 23 a a DT 35024 1151 24 sentence sentence NN 35024 1151 25 , , , 35024 1151 26 and and CC 35024 1151 27 when when WRB 35024 1151 28 referring refer VBG 35024 1151 29 to to IN 35024 1151 30 the the DT 35024 1151 31 Von Von NNP 35024 1151 32 Sterneck Sterneck NNP 35024 1151 33 pendulum pendulum NN 35024 1151 34 . . .